%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP206^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 03:19:14 EDT 2023

% Result   : Theorem 13.34s 13.69s
% Output   : Proof 13.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.41/1.57  % Problem    : ITP206^3 : TPTP v8.1.2. Released v8.1.0.
% 1.41/1.58  % Command    : do_cvc5 %s %d
% 1.58/1.79  % Computer : n012.cluster.edu
% 1.58/1.79  % Model    : x86_64 x86_64
% 1.58/1.79  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.58/1.79  % Memory   : 8042.1875MB
% 1.58/1.79  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.58/1.79  % CPULimit   : 300
% 1.58/1.79  % WCLimit    : 300
% 1.58/1.79  % DateTime   : Sun Aug 27 16:06:56 EDT 2023
% 1.58/1.79  % CPUTime    : 
% 3.29/3.46  %----Proving TH0
% 3.29/3.47  %------------------------------------------------------------------------------
% 3.29/3.47  % File     : ITP206^3 : TPTP v8.1.2. Released v8.1.0.
% 3.29/3.47  % Domain   : Interactive Theorem Proving
% 3.29/3.47  % Problem  : Sledgehammer problem Imperative_HOL_Add 00014_000455
% 3.29/3.47  % Version  : [Des22] axioms.
% 3.29/3.47  % English  :
% 3.29/3.47  
% 3.29/3.47  % Refs     : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 3.29/3.47  %          : [Des22] Desharnais (2022), Email to Geoff Sutcliffe
% 3.29/3.47  % Source   : [Des22]
% 3.29/3.47  % Names    : 0017_Imperative_HOL_Add_00014_000455 [Des22]
% 3.29/3.47  
% 3.29/3.47  % Status   : Theorem
% 3.29/3.47  % Rating   : 0.62 v8.1.0
% 3.29/3.47  % Syntax   : Number of formulae    : 6932 (1744 unt;2602 typ;   0 def)
% 3.29/3.47  %            Number of atoms       : 13690 (5570 equ;   1 cnn)
% 3.29/3.47  %            Maximal formula atoms :   11 (   3 avg)
% 3.29/3.47  %            Number of connectives : 50597 (1150   ~;  79   |; 813   &;43012   @)
% 3.29/3.47  %                                         (   0 <=>;5543  =>;   0  <=;   0 <~>)
% 3.29/3.47  %            Maximal formula depth :   18 (   7 avg)
% 3.29/3.47  %            Number of types       :  205 ( 204 usr)
% 3.29/3.47  %            Number of type conns  : 17027 (17027   >;   0   *;   0   +;   0  <<)
% 3.29/3.47  %            Number of symbols     : 2402 (2398 usr; 114 con; 0-5 aty)
% 3.29/3.47  %            Number of variables   : 15786 (2761   ^;12753   !; 272   ?;15786   :)
% 3.29/3.47  % SPC      : TH0_THM_EQU_NAR
% 3.29/3.47  
% 3.29/3.47  % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 3.29/3.47  %            from the van Emde Boas Trees session in the Archive of Formal
% 3.29/3.47  %            proofs - 
% 3.29/3.47  %            www.isa-afp.org/browser_info/current/AFP/Van_Emde_Boas_Trees
% 3.29/3.47  %            2022-02-17 13:39:20.935
% 3.29/3.47  %------------------------------------------------------------------------------
% 3.29/3.47  % Could-be-implicit typings (204)
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J_J,type,
% 3.29/3.47      set_se7592288975875140775at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.47      set_Pr7669914128964046860_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.47      set_Pr7459493094073627847at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J_J,type,
% 3.29/3.47      set_se7255092946006855566_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.47      produc1319942482725812455at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.47      produc101387210554329899nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.47      set_Pr5564308138774400199at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      produc1906917888121415911at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      set_Pr553994874890374343at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      produc349518998152878311at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      produc2296667697112141421t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.47      produc4041253808165279839at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.47      set_se5479201105039950375at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_M_Eo_J_J,type,
% 3.29/3.47      set_Pr7010166363911110284_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.47      set_Pr4111642102156807771nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      set_Pr4329608150637261639at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J_J,type,
% 3.29/3.47      set_se9180647916752606350_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      set_se6425085446898223655at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      produc3843707927480180839at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Predicate__Opred_It__Product____Type__Ounit_J_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J,type,
% 3.29/3.47      produc4675096598859438275atural: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      produc723880050079548563nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      produc3629471303718939987t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_Pr8693737435421807431at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_Pr7098892610798258687nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_Pr4155430604743465615at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_Pr2560585780119916871nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      produc3346328345660746739nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      produc8126358835630522215t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      produc859450856879609959at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      produc556289286640904991nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      produc1522404539988722607at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      produc1219242969750017639nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_Pr3798168094891919931at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_J,type,
% 3.29/3.47      set_Pr1133966238863718811t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      produc5561445381605014009at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.47      set_Co4375521073081744395nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr2539167527615954998at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_Pr49084382684228242at_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr2543308735921124078nt_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_Pr7717912310451564380at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_Pr6123067485828015636nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__List__Olist_It__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_li2168235667650531768at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      produc7812382424243267045t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      produc1799199577659733785_ref_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J,type,
% 3.29/3.47      set_Pr6558897299634722526_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      set_Pr4811707699266497531nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      produc5066145461314735602t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      produc3969062480670737046t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J,type,
% 3.29/3.47      produc8373899037510109440at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      produc4196048018000912732at_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Nat__Onat_J,type,
% 3.29/3.47      produc1709102135585200056nt_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      produc7248412053542808358at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      produc6945250483304103390nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_Pr5094982260447487303t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_ch7978006088466058503at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_ch6383161263842509759nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_ra2113409117844698048at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_ra518564293221149304nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_na8845969913329135560at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_na7251125088705586816nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J_J,type,
% 3.29/3.47      set_in3169746454734514176um_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_in7748886932685137004at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_in6154042108061588260nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_J,type,
% 3.29/3.47      set_se4612898379794543757t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.47      produc652263959640188542_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_J,type,
% 3.29/3.47      set_se4826145725398303499at_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      set_se7855581050983116737at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_J,type,
% 3.29/3.47      set_se6260736226359567993nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      set_Pr8415741480598773322nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J,type,
% 3.29/3.47      produc7822875418678951345atural: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      produc8923325533196201883nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_Pr4607231638325966922it_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr1763845938948868674it_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_Pr4334478416066269672t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_Pr5889264611543340172t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_M_Eo_J_J,type,
% 3.29/3.47      set_Pr5908833319024110760_num_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J,type,
% 3.29/3.47      set_Pr5582243495563764594_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J,type,
% 3.29/3.47      set_Pr8049984349381595834_int_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      set_Co726186806682698383nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J,type,
% 3.29/3.47      produc8459935480633519975t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_Pr3309569728657787619r_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_Pr4256460214963601898ar_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr1413074515586503650ar_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_Pr8146363407509552702ar_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_Pr8263365689940771946t_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J_J,type,
% 3.29/3.47      set_Pr5464989305201766866unit_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_Pr2926629348867340898t_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_Pr6671815714118170108t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      produc5288414631154139675_ref_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_he8644174446132254637t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_Pr8928021450653196913at_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr6084635751276098665at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_Pr3594552606344371909at_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J,type,
% 3.29/3.47      set_Pr8218934625190621173um_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr3280342998896498603um_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_Pr4105333604307423337at_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.47      set_Pr6200539531224447659at_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr1261947904930325089at_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_Pr7995236796853374141at_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_Pr6292255179000445125nt_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr3448869479623346877nt_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_Pr958786334691620121nt_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      produc2963269191615333738nteger: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Rat__Orat_J,type,
% 3.29/3.47      produc6315701296850634900it_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J,type,
% 3.29/3.47      produc600557818389255820it_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J,type,
% 3.29/3.47      produc526117512892780850t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Product____Type__Ounit_J,type,
% 3.29/3.47      produc6865911496949736918t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_ch7814610555394875923t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Sum_sum_nat_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Num__Onum_J,type,
% 3.29/3.47      produc4146679068158859416_a_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Nat__Onat_J,type,
% 3.29/3.47      produc3438435131210021710_a_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Int__Oint_J,type,
% 3.29/3.47      produc8483956148555600810_a_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_rat_Product_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J_J,type,
% 3.29/3.47      set_nat_num_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
% 3.29/3.47      set_nat_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_J,type,
% 3.29/3.47      set_int_int_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J,type,
% 3.29/3.47      produc143505574896075907r_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      set_Pr3149072824959771635_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.47      set_Pr903927857289325719_int_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_Pr2101469702781467981_o_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_Pr8834758594704517033_o_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J,type,
% 3.29/3.47      produc6271795597528267376eger_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J,type,
% 3.29/3.47      produc414006230660905482ar_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.47      produc3922234789054302210ar_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__String__Ochar_Mt__Int__Oint_J,type,
% 3.29/3.47      produc8967755806399881310ar_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J,type,
% 3.29/3.47      produc7485711547916492274unit_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J,type,
% 3.29/3.47      produc3788275437394581276t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_char_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_set_Product_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      heap_e7401611519738050253t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Rat__Orat_Mt__Rat__Orat_J,type,
% 3.29/3.47      product_prod_rat_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.47      product_prod_rat_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.47      product_prod_rat_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J,type,
% 3.29/3.47      product_prod_num_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J,type,
% 3.29/3.47      product_prod_num_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Rat__Orat_J,type,
% 3.29/3.47      product_prod_nat_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.47      product_prod_nat_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      product_prod_nat_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.47      product_prod_nat_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Rat__Orat_J,type,
% 3.29/3.47      product_prod_int_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      product_prod_int_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      product_prod_int_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_char_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_char_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_rat_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_nat_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__String__Ochar_J_J,type,
% 3.29/3.47      set_int_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_I_Eo_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.47      set_o_Product_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J,type,
% 3.29/3.47      set_Product_prod_o_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Heap____Monad__OHeap_It__Product____Type__Ounit_J,type,
% 3.29/3.47      heap_H6156071679106078628t_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      sum_sum_nat_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_rat_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_rat_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_nat_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_nat_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_nat_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Rat__Orat_J_J,type,
% 3.29/3.47      set_int_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      set_int_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_int_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      set_int_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Heap____Monad__OHeap_It__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      heap_Heap_ref_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__String__Ochar_J_J,type,
% 3.29/3.47      set_set_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Predicate__Opred_It__Product____Type__Ounit_J,type,
% 3.29/3.47      pred_Product_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J,type,
% 3.29/3.47      set_list_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Num__Onum_M_Eo_J,type,
% 3.29/3.47      product_prod_num_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      product_prod_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      product_prod_int_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_Eo_Mt__Num__Onum_J,type,
% 3.29/3.47      product_prod_o_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J,type,
% 3.29/3.47      product_prod_o_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J,type,
% 3.29/3.47      product_prod_o_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_M_Eo_J_J,type,
% 3.29/3.47      set_char_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Rat__Orat_J_J,type,
% 3.29/3.47      set_set_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      set_set_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J,type,
% 3.29/3.47      set_set_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      set_Code_integer: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      set_Product_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Rat__Orat_M_Eo_J_J,type,
% 3.29/3.47      set_rat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      set_nat_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.47      set_int_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_I_Eo_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      set_o_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Heap__Oref_It__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      ref_ref_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      set_ref_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J,type,
% 3.29/3.47      product_prod_o_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Set__Oset_I_Eo_J_J,type,
% 3.29/3.47      set_set_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Option__Ooption_It__Num__Onum_J,type,
% 3.29/3.47      option_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.47      set_char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_062_I_Eo_M_Eo_J_J,type,
% 3.29/3.47      set_o_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Heap____Monad__OHeap_Itf__a_J,type,
% 3.29/3.47      heap_Heap_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.47      list_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.47      set_rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Num__Onum_J,type,
% 3.29/3.47      set_num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      set_nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.47      set_int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Code____Numeral__Ointeger,type,
% 3.29/3.47      code_integer: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Product____Type__Ounit,type,
% 3.29/3.47      product_unit: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Heap__Oref_Itf__a_J,type,
% 3.29/3.47      ref_a: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__String__Oliteral,type,
% 3.29/3.47      literal: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      set_o: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__String__Ochar,type,
% 3.29/3.47      char: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Rat__Orat,type,
% 3.29/3.47      rat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Num__Onum,type,
% 3.29/3.47      num: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Nat__Onat,type,
% 3.29/3.47      nat: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_t__Int__Oint,type,
% 3.29/3.47      int: $tType ).
% 3.29/3.47  
% 3.29/3.47  thf(ty_n_tf__a,type,
% 3.29/3.47      a: $tType ).
% 3.29/3.47  
% 3.29/3.47  % Explicit typings (2398)
% 3.29/3.47  thf(sy_c_Archimedean__Field_Ofloor__ceiling__class_Ofloor_001t__Rat__Orat,type,
% 3.29/3.47      archim3151403230148437115or_rat: rat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_Ocofinal_001t__Int__Oint,type,
% 3.29/3.47      bNF_Ca5157130669891357211al_int: set_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_Ocofinal_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Ca5159621140400407487al_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_Ocofinal_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_Ca8448034394003515314at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_Ocofinal_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      bNF_Ca6037544080215331608at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OnatLeq,type,
% 3.29/3.47      bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OnatLess,type,
% 3.29/3.47      bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_Ca402612664642806191nteger: set_Pr958786334691620121nt_int > ( int > code_integer ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_Ca1965613569405424510nt_int: set_Pr958786334691620121nt_int > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Ca1968104039914474786nt_nat: set_Pr958786334691620121nt_int > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Ca1332973979827979050nt_rat: set_Pr958786334691620121nt_int > ( int > rat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Nat__Onat_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_Ca30959104405961555nteger: set_Pr1261947904930325089at_nat > ( nat > code_integer ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_Ca966259857504369954at_int: set_Pr1261947904930325089at_nat > ( nat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Ca968750328013420230at_nat: set_Pr1261947904930325089at_nat > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Ca333620267926924494at_rat: set_Pr1261947904930325089at_nat > ( nat > rat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_Ca4946600973702282345at_int: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Cardinal__Order__Relation_OrelChain_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Ca4949091444211332621at_nat: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_Gr_o_o: set_o > ( $o > $o ) > set_Product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr_int_int: set_int > ( int > int ) > set_Pr958786334691620121nt_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr_int_nat: set_int > ( int > nat ) > set_Pr3448869479623346877nt_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr_nat_int: set_nat > ( nat > int ) > set_Pr7995236796853374141at_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr_nat_nat: set_nat > ( nat > nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr_nat_num: set_nat > ( nat > num ) > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Gr_nat_rat: set_nat > ( nat > rat ) > set_Pr4105333604307423337at_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr_num_num: set_num > ( num > num ) > set_Pr8218934625190621173um_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_Gr1527221351080490466at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGr_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      bNF_Gr7888059597227825506at_nat: set_se5479201105039950375at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr7459493094073627847at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.47      bNF_Gr1453458339979195462nteger: set_Co4375521073081744395nteger > ( ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      bNF_Gr4092539093814444494nteger: set_Co726186806682698383nteger > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr2243168462153404386nt_nat: set_int_int > ( ( int > int ) > int > nat ) > ( int > int ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_Gr6763702254253555408nt_num: set_int_nat > ( ( int > nat ) > int > num ) > ( int > nat ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_Gr318824752125099290nt_num: set_int_num > ( ( int > num ) > int > num ) > ( int > num ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_Gr952524912132828525nt_int: set_in6154042108061588260nt_int > ( ( int > product_prod_int_int ) > int > int ) > ( int > product_prod_int_int ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr1462982377596425817nt_nat: set_in7748886932685137004at_nat > ( ( int > product_prod_nat_nat ) > int > nat ) > ( int > product_prod_nat_nat ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_Gr5590197745039885111nt_num: set_in3169746454734514176um_num > ( ( int > product_prod_num_num ) > int > num ) > ( int > product_prod_num_num ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr1532745923208276441at_nat: set_li2168235667650531768at_nat > ( ( list_nat > product_prod_nat_nat ) > list_nat > nat ) > ( list_nat > product_prod_nat_nat ) > ( list_nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_Grp_nat_o_nat_o: set_nat_o > ( ( nat > $o ) > nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr3847987472475283150at_nat: set_nat_nat > ( ( nat > nat ) > nat > nat ) > ( nat > nat ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_Gr2878093617000900205at_int: set_na7251125088705586816nt_int > ( ( nat > product_prod_int_int ) > nat > int ) > ( nat > product_prod_int_int ) > ( nat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr3388551082464497497at_nat: set_na8845969913329135560at_nat > ( ( nat > product_prod_nat_nat ) > nat > nat ) > ( nat > product_prod_nat_nat ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_Gr6858100456814184557at_int: set_ra518564293221149304nt_int > ( ( rat > product_prod_int_int ) > rat > int ) > ( rat > product_prod_int_int ) > ( rat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr7368557922277781849at_nat: set_ra2113409117844698048at_nat > ( ( rat > product_prod_nat_nat ) > rat > nat ) > ( rat > product_prod_nat_nat ) > ( rat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__String__Ochar_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_Gr6947267152677263533ar_int: set_ch6383161263842509759nt_int > ( ( char > product_prod_int_int ) > char > int ) > ( char > product_prod_int_int ) > ( char > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr1779741795384719769ar_nat: set_ch7978006088466058503at_nat > ( ( char > product_prod_nat_nat ) > char > nat ) > ( char > product_prod_nat_nat ) > ( char > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_Grp_o_o: set_o > ( $o > $o ) > $o > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.47      bNF_Gr395642070819736771t_unit: set_o > ( $o > product_unit ) > $o > product_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_Eo_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Grp_o_rat: set_o > ( $o > rat ) > $o > rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001_Eo_001t__String__Ochar,type,
% 3.29/3.47      bNF_Grp_o_char: set_o > ( $o > char ) > $o > char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr6045950513751025625er_int: set_Code_integer > ( code_integer > int ) > code_integer > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      bNF_Gr6510375311308651680t_unit: set_ref_a > ( ref_a > heap_e7401611519738050253t_unit ) > ref_a > heap_e7401611519738050253t_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_Gr6684649993275963353nteger: set_int > ( int > code_integer ) > int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_Grp_int_int: set_int > ( int > int ) > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Grp_int_nat: set_int > ( int > nat ) > int > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.47      bNF_Grp_int_num: set_int > ( int > num ) > int > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr6591314147588017797at_nat: set_int > ( int > product_prod_nat_nat ) > int > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Grp_int_rat: set_int > ( int > rat ) > int > rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.47      bNF_Grp_int_char: set_int > ( int > char ) > int > char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__List__Olist_It__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_Grp_list_nat_int: set_list_nat > ( list_nat > int ) > list_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr600725020315365264st_nat: set_list_nat > ( list_nat > list_nat ) > list_nat > list_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__List__Olist_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr4119388860389678161at_nat: set_list_nat > ( list_nat > product_prod_nat_nat ) > list_nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_Grp_nat_o: set_nat > ( nat > $o ) > nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_Grp_nat_int: set_nat > ( nat > int ) > nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Grp_nat_nat: set_nat > ( nat > nat ) > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_Grp_nat_num: set_nat > ( nat > num ) > nat > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr3553472063123884001at_nat: set_nat > ( nat > product_prod_nat_nat ) > nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.47      bNF_Gr1993012052113314029t_unit: set_nat > ( nat > product_unit ) > nat > product_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Grp_nat_rat: set_nat > ( nat > rat ) > nat > rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.47      bNF_Grp_nat_char: set_nat > ( nat > char ) > nat > char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_Grp_num_num: set_num > ( num > num ) > num > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      bNF_Gr5237703264515865432t_unit: set_Pr1133966238863718811t_unit > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.47      bNF_Gr5964920315653434322_ref_a: set_Pr1133966238863718811t_unit > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > ref_a > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr2749509334501985047nt_int: set_Pr958786334691620121nt_int > ( product_prod_int_int > int ) > product_prod_int_int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr8532703628021589765nt_num: set_Pr958786334691620121nt_int > ( product_prod_int_int > num ) > product_prod_int_int > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_Gr8859634586176591525_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr190934199572118623at_int: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > int ) > product_prod_nat_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr193424670081168899at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr5974128493091723341at_num: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > num ) > product_prod_nat_nat > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr7275288873855648526at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.47      bNF_Grp_rat_int: set_rat > ( rat > int ) > rat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Grp_rat_nat: set_rat > ( rat > nat ) > rat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Rat__Orat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr6883301533820405721at_nat: set_rat > ( rat > product_prod_nat_nat ) > rat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Grp_rat_rat: set_rat > ( rat > rat ) > rat > rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.47      bNF_Grp_rat_char: set_rat > ( rat > char ) > rat > char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_Gr6677838525845560078at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.47      bNF_Grp_char_int: set_char > ( char > int ) > char > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Grp_char_nat: set_char > ( char > nat ) > char > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__String__Ochar_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_Gr8982933507515605408at_nat: set_char > ( char > product_prod_nat_nat ) > char > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.47      bNF_Grp_char_rat: set_char > ( char > rat ) > char > rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OGrp_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.47      bNF_Grp_char_char: set_char > ( char > char ) > char > char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      bNF_co1764293801198077070nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > produc101387210554329899nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_convol_o_o_o: ( $o > $o ) > ( $o > $o ) > $o > product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001_Eo_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_convol_o_o_nat: ( $o > $o ) > ( $o > nat ) > $o > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001_Eo_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_convol_o_nat_o: ( $o > nat ) > ( $o > $o ) > $o > product_prod_nat_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_convol_o_nat_nat: ( $o > nat ) > ( $o > nat ) > $o > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001_Eo_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_convol_o_num_nat: ( $o > num ) > ( $o > nat ) > $o > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      bNF_co6169604788974073338nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > produc723880050079548563nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      bNF_co3156833790671340178nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc101387210554329899nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_co2174166945328636015nt_int: ( int > int ) > ( int > int ) > int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co2176657415837686291nt_nat: ( int > int ) > ( int > nat ) > int > product_prod_int_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_co1174813233427581459at_int: ( int > nat ) > ( int > int ) > int > product_prod_nat_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co1177303703936631735at_nat: ( int > nat ) > ( int > nat ) > int > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_co6958007526947186177at_num: ( int > nat ) > ( int > num ) > int > product_prod_nat_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co8531006144098876929um_nat: ( int > num ) > ( int > nat ) > int > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_co5088337930254655563um_num: ( int > num ) > ( int > num ) > int > product_prod_num_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_convol_nat_o_o: ( nat > $o ) > ( nat > $o ) > nat > product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_convol_nat_o_nat: ( nat > $o ) > ( nat > nat ) > nat > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_convol_nat_nat_o: ( nat > nat ) > ( nat > $o ) > nat > product_prod_nat_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co805650143699787099at_nat: ( nat > nat ) > ( nat > nat ) > nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      bNF_convol_nat_num_o: ( nat > num ) > ( nat > $o ) > nat > product_prod_num_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co8159352583862032293um_nat: ( nat > num ) > ( nat > nat ) > nat > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Nat__Onat_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_co4716684370017810927um_num: ( nat > num ) > ( nat > num ) > nat > product_prod_num_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Num__Onum_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_convol_num_o_nat: ( num > $o ) > ( num > nat ) > num > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co7969830008525221797at_nat: ( num > nat ) > ( num > nat ) > num > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Num__Onum_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co6100160411832691183um_nat: ( num > num ) > ( num > nat ) > num > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_co6607689160745551784nt_int: ( produc7812382424243267045t_unit > int ) > ( produc7812382424243267045t_unit > int ) > produc7812382424243267045t_unit > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co5610825919353547504at_nat: ( produc7812382424243267045t_unit > nat ) > ( produc7812382424243267045t_unit > nat ) > produc7812382424243267045t_unit > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_co3748779267718262122nt_int: ( product_prod_int_int > int ) > ( product_prod_int_int > int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co2751916026326257842at_nat: ( product_prod_int_int > nat ) > ( product_prod_int_int > nat ) > product_prod_int_int > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_co49787548815638194nt_int: ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_co8276296344278409722at_nat: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Oconvol_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_co147202357524637304at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ocsquare_001t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      bNF_cs4943907971211754724nteger: set_Pr8415741480598773322nteger > ( product_prod_int_int > int ) > ( produc2963269191615333738nteger > int ) > ( produc2963269191615333738nteger > product_prod_int_int ) > ( produc2963269191615333738nteger > produc2963269191615333738nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ocsquare_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_cs7194553038297458973at_int: set_Pr49084382684228242at_int > ( produc859450856879609959at_nat > product_prod_nat_nat ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > ( produc4196048018000912732at_int > produc859450856879609959at_nat ) > ( produc4196048018000912732at_int > produc4196048018000912732at_int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OfstOp_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      bNF_fs409234558581511823t_unit: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OfstOp_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_fs4543836202474805097nteger: ( int > int > $o ) > ( int > code_integer > $o ) > produc2963269191615333738nteger > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OfstOp_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_fs8167890477030535480nt_int: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OfstOp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_fs6799373675401686564at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OfstOp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_fs6342258632037972510at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > produc859450856879609959at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OfstOp_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_fs1946732770515719151at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Opick__middlep_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_pi4515785505327359899nteger: ( int > int > $o ) > ( int > code_integer > $o ) > int > code_integer > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Opick__middlep_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_pi770922605693484880at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      bNF_re6580757339198446453_nat_o: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_I_Eo_M_Eo_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re7413876800493218871nt_nat: ( ( $o > $o ) > ( int > nat ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( int > int ) > int > nat ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_I_Eo_M_Eo_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J_001_062_I_062_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re1515921786380824775at_nat: ( ( $o > $o ) > ( nat > nat ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( nat > nat ) > nat > nat ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_I_Eo_M_Eo_J_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re7387973359137000979nt_num: ( ( $o > $o ) > ( nat > num ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( int > nat ) > int > num ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Code____Numeral__Ointeger_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re2961086658867094474nt_num: ( ( int > int ) > ( int > code_integer ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( ( int > int ) > int > num ) > ( ( int > code_integer ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re2034674868506727813nt_nat: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > nat ) > ( int > nat ) > $o ) > ( ( int > int ) > int > nat ) > ( ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re7492190849051111027nt_num: ( ( int > int ) > ( int > nat ) > $o ) > ( ( int > nat ) > ( int > num ) > $o ) > ( ( int > int ) > int > nat ) > ( ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Code____Numeral__Ointeger_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re5502197115626545091er_num: ( ( int > nat ) > ( code_integer > nat ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > nat ) > int > num ) > ( ( code_integer > nat ) > code_integer > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re3642433447925381491nt_nat: ( ( int > nat ) > ( int > int ) > $o ) > ( ( int > num ) > ( int > nat ) > $o ) > ( ( int > nat ) > int > num ) > ( ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re6307232852808291833nt_nat: ( ( int > nat ) > ( int > nat ) > $o ) > ( ( ( int > int ) > int > nat ) > ( ( int > int ) > int > nat ) > $o ) > ( ( int > nat ) > ( int > int ) > int > nat ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re4099335476084980305nt_nat: ( ( int > nat ) > ( int > nat ) > $o ) > ( ( ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ) > ( ( int > int ) > int > nat ) > $o ) > ( ( int > nat ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re9099949428469764705nt_num: ( ( int > nat ) > ( int > nat ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( ( int > nat ) > int > num ) > ( ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_re7435575058205011731_nat_o: ( ( int > nat ) > ( nat > $o ) > $o ) > ( ( int > num ) > ( nat > $o ) > $o ) > ( ( int > nat ) > int > num ) > ( ( nat > $o ) > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re717418264989850719at_nat: ( ( int > nat ) > ( nat > nat ) > $o ) > ( ( int > num ) > ( nat > nat ) > $o ) > ( ( int > nat ) > int > num ) > ( ( nat > nat ) > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re4310571189260822741nt_num: ( ( int > nat ) > ( nat > num ) > $o ) > ( ( ( int > int ) > int > nat ) > ( ( int > nat ) > int > num ) > $o ) > ( ( int > nat ) > ( int > int ) > int > nat ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Int__Oint_Mt__Code____Numeral__Ointeger_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re7839584876883444355nt_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( ( int > int ) > int > num ) > ( ( int > code_integer ) > int > num ) > $o ) > ( ( int > num ) > ( int > int ) > int > num ) > ( ( code_integer > num ) > ( int > code_integer ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re6292805115969292119er_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > num ) > int > num ) > ( ( code_integer > num ) > code_integer > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re4768042542643474933nt_num: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > int > num ) > ( ( int > num ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re1982657550219213441nt_nat: ( ( nat > $o ) > ( int > int ) > $o ) > ( ( nat > $o ) > ( int > nat ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re4102725726183926567nt_num: ( ( nat > $o ) > ( int > nat ) > $o ) > ( ( nat > $o ) > ( int > num ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_re2697311982885662685_nat_o: ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( nat > $o ) > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re2144779315220482269at_nat: ( ( nat > $o ) > ( nat > nat ) > $o ) > ( ( nat > $o ) > ( nat > nat ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( nat > nat ) > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_I_Eo_M_Eo_J_001_062_I_062_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      bNF_re3930744952143938759_nat_o: ( ( nat > nat ) > ( $o > $o ) > $o ) > ( ( ( nat > nat ) > nat > nat ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re8622501330148003679nt_num: ( ( nat > nat ) > ( int > nat ) > $o ) > ( ( nat > nat ) > ( int > num ) > $o ) > ( ( nat > nat ) > nat > nat ) > ( ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_re7744223787735169245_nat_o: ( ( nat > nat ) > ( nat > $o ) > $o ) > ( ( nat > nat ) > ( nat > $o ) > $o ) > ( ( nat > nat ) > nat > nat ) > ( ( nat > $o ) > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_I_062_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_I_062_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re3262823321055862553at_nat: ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > nat > nat ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re1160762158786734233nt_nat: ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ) > ( ( int > nat ) > int > nat ) > $o ) > ( ( nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ) > ( ( nat > nat ) > ( int > nat ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re239970166668089693at_nat: ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_062_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re584878643992547173nt_num: ( ( nat > nat ) > ( nat > num ) > $o ) > ( ( ( nat > nat ) > nat > nat ) > ( ( int > nat ) > int > num ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_Eo_M_Eo_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      bNF_re3931674169038344211_nat_o: ( ( nat > num ) > ( $o > $o ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re5843449549409830101nt_nat: ( ( nat > num ) > ( int > nat ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( int > int ) > int > nat ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re6524732562925676389at_nat: ( ( nat > num ) > ( nat > nat ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( nat > nat ) > nat > nat ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Code____Numeral__Ointeger_Mt__Nat__Onat_J_M_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re2655444144887082515er_num: ( ( nat > num ) > ( nat > num ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( code_integer > nat ) > code_integer > num ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( nat > num ) > ( code_integer > nat ) > code_integer > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re3846787885862361009nt_num: ( ( nat > num ) > ( nat > num ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( int > nat ) > int > num ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_It__Nat__Onat_Mt__Num__Onum_J_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Num__Onum_J_J_001_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re2742285375668209089nt_num: ( ( nat > num ) > ( nat > num ) > $o ) > ( ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ) > ( ( int > nat ) > int > num ) > $o ) > ( ( nat > num ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Num__Onum_Mt__Num__Onum_J_001_062_It__Num__Onum_Mt__Num__Onum_J_001_062_I_062_It__Int__Oint_Mt__Num__Onum_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_M_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re4105200416192800571er_num: ( ( num > num ) > ( num > num ) > $o ) > ( ( ( int > num ) > int > num ) > ( ( code_integer > num ) > code_integer > num ) > $o ) > ( ( num > num ) > ( int > num ) > int > num ) > ( ( num > num ) > ( code_integer > num ) > code_integer > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Num__Onum_Mt__Num__Onum_J_001_062_It__Num__Onum_Mt__Num__Onum_J_001_062_I_062_It__Int__Oint_Mt__Num__Onum_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J_001_062_I_062_It__Int__Oint_Mt__Num__Onum_J_M_062_It__Int__Oint_Mt__Num__Onum_J_J,type,
% 3.29/3.47      bNF_re5446066262214944985nt_num: ( ( num > num ) > ( num > num ) > $o ) > ( ( ( int > num ) > int > num ) > ( ( int > num ) > int > num ) > $o ) > ( ( num > num ) > ( int > num ) > int > num ) > ( ( num > num ) > ( int > num ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re3284331099615978085nt_nat: ( ( product_prod_nat_nat > int ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ) > ( ( int > int ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re8419181437172746013nt_nat: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ) > ( ( int > nat ) > int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.47      bNF_re2682547871993127601nt_num: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > num ) > ( int > num ) > $o ) > ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ) > ( ( int > nat ) > int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_Eo_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_rel_fun_o_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > ( $o > $o ) > ( $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_Eo_001t__Int__Oint_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4895681925607069953_o_nat: ( $o > int > $o ) > ( $o > nat > $o ) > ( $o > $o ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_Eo_001t__Nat__Onat_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4209105892566519389_o_nat: ( $o > nat > $o ) > ( $o > nat > $o ) > ( $o > $o ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001_Eo_001t__Nat__Onat_001_Eo_001t__Num__Onum,type,
% 3.29/3.47      bNF_re766437678722298023_o_num: ( $o > nat > $o ) > ( $o > num > $o ) > ( $o > $o ) > ( nat > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      bNF_re1181178334029315097nteger: ( code_integer > code_integer > $o ) > ( ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( code_integer > code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re40212662316476751um_num: ( code_integer > code_integer > $o ) > ( num > num > $o ) > ( code_integer > num ) > ( code_integer > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re8313794964846168862um_num: ( code_integer > int > $o ) > ( num > num > $o ) > ( code_integer > num ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001_062_It__Heap__Oref_Itf__a_J_M_Eo_J_001_062_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_M_Eo_J,type,
% 3.29/3.47      bNF_re1366391616432607057unit_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ) > ( ref_a > ref_a > $o ) > ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      bNF_re5775369113877777_int_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( ref_a > int > $o ) > ( heap_e7401611519738050253t_unit > int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_re9202112420002600977_nat_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ref_a > nat > $o ) > ( heap_e7401611519738050253t_unit > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re1850668159662942673it_o_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( $o > $o > $o ) > ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_re3379532845092657523nteger: ( int > code_integer > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re2807294637932363402at_nat: ( int > code_integer > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( code_integer > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re6718328864250387230um_num: ( int > code_integer > $o ) > ( num > num > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_re2828929484557863493at_int: ( int > code_integer > $o ) > ( product_prod_nat_nat > int > $o ) > ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Heap__Oref_Itf__a_J_M_Eo_J_001_062_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_M_Eo_J,type,
% 3.29/3.47      bNF_re5404797796594736747unit_o: ( int > int > $o ) > ( ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ) > ( int > ref_a > $o ) > ( int > heap_e7401611519738050253t_unit > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_re3376528473927230327_nat_o: ( int > int > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( int > nat > $o ) > ( int > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_re982302072995117890nteger: ( int > int > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( int > code_integer ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4715010359784256181nt_nat: ( int > int > $o ) > ( int > nat > $o ) > ( int > int ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_re3713166177374151349at_int: ( int > int > $o ) > ( nat > int > $o ) > ( int > nat ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re3715656647883201625at_nat: ( int > int > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_re272988434038980259at_num: ( int > int > $o ) > ( nat > num > $o ) > ( int > nat ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re1845987051190671011um_nat: ( int > int > $o ) > ( num > nat > $o ) > ( int > num ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re7626690874201225453um_num: ( int > int > $o ) > ( num > num > $o ) > ( int > num ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re8766404587435608311at_nat: ( int > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_re4914077030771115051_nat_o: ( int > nat > $o ) > ( nat > $o > $o ) > ( int > nat ) > ( nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re3344003087646356989at_nat: ( int > nat > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_re9124706910656911431at_num: ( int > nat > $o ) > ( nat > num > $o ) > ( int > nat ) > ( nat > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      bNF_re3760060065607074657_num_o: ( int > nat > $o ) > ( num > $o > $o ) > ( int > num ) > ( nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re1474333490953826375um_nat: ( int > nat > $o ) > ( num > nat > $o ) > ( int > num ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4629543205785817921at_nat: ( list_nat > list_nat > $o ) > ( nat > nat > $o ) > ( list_nat > nat ) > ( list_nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001_Eo_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_re439150893885221597_nat_o: ( nat > $o > $o ) > ( nat > $o > $o ) > ( nat > nat ) > ( $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001_Eo_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      bNF_re8508505965575957011_num_o: ( nat > $o > $o ) > ( num > $o > $o ) > ( nat > num ) > ( $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Int__Oint_001_Eo_001t__Int__Oint,type,
% 3.29/3.47      bNF_re8207659476513966505_o_int: ( nat > int > $o ) > ( $o > int > $o ) > ( nat > $o ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Int__Oint_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re8210149947023016781_o_nat: ( nat > int > $o ) > ( $o > nat > $o ) > ( nat > $o ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Int__Oint_001_Eo_001t__Num__Onum,type,
% 3.29/3.47      bNF_re4767481733178795415_o_num: ( nat > int > $o ) > ( $o > num > $o ) > ( nat > $o ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re6025474579976152573at_nat: ( nat > int > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_re2582806366131931207at_num: ( nat > int > $o ) > ( nat > num > $o ) > ( nat > nat ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4155804983283621959um_nat: ( nat > int > $o ) > ( num > nat > $o ) > ( nat > num ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Heap__Oref_Itf__a_J_M_Eo_J_001_062_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_M_Eo_J,type,
% 3.29/3.47      bNF_re5655699643857186083unit_o: ( nat > nat > $o ) > ( ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ) > ( nat > ref_a > $o ) > ( nat > heap_e7401611519738050253t_unit > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      bNF_re605504016728627135_int_o: ( nat > nat > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( nat > int > $o ) > ( nat > int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re7523573913982466217_o_nat: ( nat > nat > $o ) > ( $o > nat > $o ) > ( nat > $o ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_re6650684261131312217nt_int: ( nat > nat > $o ) > ( int > int > $o ) > ( nat > int ) > ( nat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_re1402873238235875719_nat_o: ( nat > nat > $o ) > ( nat > $o > $o ) > ( nat > nat ) > ( nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re5653821019739307937at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_re2211152805895086571at_num: ( nat > nat > $o ) > ( nat > num > $o ) > ( nat > nat ) > ( nat > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re3784151423046777323um_nat: ( nat > nat > $o ) > ( num > nat > $o ) > ( nat > num ) > ( nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re341483209202555957um_num: ( nat > nat > $o ) > ( num > num > $o ) > ( nat > num ) > ( nat > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.47      bNF_re4702136315717946289at_rat: ( nat > nat > $o ) > ( rat > rat > $o ) > ( nat > rat ) > ( nat > rat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Num__Onum_001t__Num__Onum_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re4736500879113541833um_num: ( num > num > $o ) > ( num > num > $o ) > ( num > num ) > ( num > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      bNF_re717283939379294677_int_o: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_re7408651293131936558nt_int: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re6644619430987730960nt_o_o: ( product_prod_nat_nat > int > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_re6202762543029211035nteger: ( product_prod_nat_nat > int > $o ) > ( int > code_integer > $o ) > ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_re5552630237950767466nt_int: ( product_prod_nat_nat > int > $o ) > ( int > int > $o ) > ( product_prod_nat_nat > int ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      bNF_re8466801222876787014um_num: ( product_prod_nat_nat > int > $o ) > ( num > num > $o ) > ( product_prod_nat_nat > num ) > ( int > num ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_re7400052026677387805at_int: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.47      bNF_re4202695980764964119_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_re3099431351363272937at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re3666534408544137501at_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_re20414067882207223nt_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re8246922863344978751at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      bNF_re2241393799969408733at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Rat__Orat_001t__Rat__Orat_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re1865807574169326223at_o_o: ( rat > rat > $o ) > ( $o > $o > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Rat__Orat_001t__Rat__Orat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_re7554818335971813481nt_int: ( rat > rat > $o ) > ( int > int > $o ) > ( rat > int ) > ( rat > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__Rat__Orat_001t__Rat__Orat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re6557955094579809201at_nat: ( rat > rat > $o ) > ( nat > nat > $o ) > ( rat > nat ) > ( rat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_re1692451286490762625ar_o_o: ( char > char > $o ) > ( $o > $o > $o ) > ( char > $o ) > ( char > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001_Eo_001t__Int__Oint,type,
% 3.29/3.47      bNF_re4780507660726531203_o_int: ( char > char > $o ) > ( $o > int > $o ) > ( char > $o ) > ( char > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4782998131235581479_o_nat: ( char > char > $o ) > ( $o > nat > $o ) > ( char > $o ) > ( char > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_re6064627146911078825_int_o: ( char > char > $o ) > ( int > $o > $o ) > ( char > int ) > ( char > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_re4731199128827642459nt_int: ( char > char > $o ) > ( int > int > $o ) > ( char > int ) > ( char > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re4733689599336692735nt_nat: ( char > char > $o ) > ( int > nat > $o ) > ( char > int ) > ( char > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_re7885669492343766789_nat_o: ( char > char > $o ) > ( nat > $o > $o ) > ( char > nat ) > ( char > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_re3731845416926587903at_int: ( char > char > $o ) > ( nat > int > $o ) > ( char > nat ) > ( char > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Orel__fun_001t__String__Ochar_001t__String__Ochar_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_re3734335887435638179at_nat: ( char > char > $o ) > ( nat > nat > $o ) > ( char > nat ) > ( char > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OsndOp_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      bNF_sn8323453914685745821t_unit: ( ref_a > ref_a > $o ) > ( ref_a > heap_e7401611519738050253t_unit > $o ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OsndOp_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      bNF_sn8000174127721201323nteger: ( int > int > $o ) > ( int > code_integer > $o ) > produc2963269191615333738nteger > produc2963269191615333738nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OsndOp_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_sn1062102010912252026nt_int: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OsndOp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_sn8916957246138178918at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OsndOp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      bNF_sn649997494946348640at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > produc4196048018000912732at_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_OsndOp_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      bNF_sn1857951156667551021at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Heap__Oref_Itf__a_J_001t__Int__Oint_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi7828673959370436579_int_o: ( ref_a > int ) > ( heap_e7401611519738050253t_unit > int ) > ( int > int > $o ) > ref_a > heap_e7401611519738050253t_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Heap__Oref_Itf__a_J_001t__Nat__Onat_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi4623496019404053219_nat_o: ( ref_a > nat ) > ( heap_e7401611519738050253t_unit > nat ) > ( nat > nat > $o ) > ref_a > heap_e7401611519738050253t_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001_Eo,type,
% 3.29/3.47      bNF_vi699694178825965831eger_o: ( int > int ) > ( code_integer > code_integer ) > ( int > code_integer > $o ) > int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi2125572119366604152_int_o: ( int > int ) > ( code_integer > int ) > ( int > int > $o ) > int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi3884084463199473129_int_o: ( int > int ) > ( int > int ) > ( int > int > $o ) > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi3197508430158922565_int_o: ( int > int ) > ( nat > int ) > ( int > int > $o ) > int > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi5018550775591610529_nat_o: ( int > int ) > ( nat > nat ) > ( int > nat > $o ) > int > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Rat__Orat_001_Eo,type,
% 3.29/3.47      bNF_vi1281217848275042457_rat_o: ( int > int ) > ( nat > rat ) > ( int > rat > $o ) > int > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__String__Ochar_001_Eo,type,
% 3.29/3.47      bNF_vi9149698133064535136char_o: ( int > int ) > ( nat > char ) > ( int > char > $o ) > int > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi2193923016096921761_nat_o: ( int > nat ) > ( int > nat ) > ( nat > nat > $o ) > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum_001t__Rat__Orat_001_Eo,type,
% 3.29/3.47      bNF_vi7769575839906753835_rat_o: ( int > nat ) > ( num > rat ) > ( nat > rat > $o ) > int > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum_001t__String__Ochar_001_Eo,type,
% 3.29/3.47      bNF_vi1300075849944819442char_o: ( int > nat ) > ( num > char ) > ( nat > char > $o ) > int > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Num__Onum_001t__Code____Numeral__Ointeger_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      bNF_vi2326032003723069084_num_o: ( int > num ) > ( code_integer > num ) > ( num > num > $o ) > int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Num__Onum_001t__Int__Oint_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      bNF_vi2107963681178519309_num_o: ( int > num ) > ( int > num ) > ( num > num > $o ) > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi2881549544236934259_int_o: ( int > product_prod_nat_nat ) > ( code_integer > int ) > ( product_prod_nat_nat > int > $o ) > int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_vi1204582724742824157_nat_o: ( int > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__List__Olist_It__Nat__Onat_J_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi467646977814820164_int_o: ( list_nat > int ) > ( code_integer > int ) > ( int > int > $o ) > list_nat > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__List__Olist_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_vi5202502398764838569_nat_o: ( list_nat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > list_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001_Eo_001_Eo_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.47      bNF_vi5856767400800367702unit_o: ( nat > $o ) > ( $o > product_unit ) > ( $o > product_unit > $o ) > nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001_Eo_001_Eo_001t__Rat__Orat_001_Eo,type,
% 3.29/3.47      bNF_vi3868162310295888627_rat_o: ( nat > $o ) > ( $o > rat ) > ( $o > rat > $o ) > nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001_Eo_001_Eo_001t__String__Ochar_001_Eo,type,
% 3.29/3.47      bNF_vi8816436626763797690char_o: ( nat > $o ) > ( $o > char ) > ( $o > char > $o ) > nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi7331807916455492308_int_o: ( nat > int ) > ( code_integer > int ) > ( int > int > $o ) > nat > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi8357618154448083105_int_o: ( nat > int ) > ( nat > int ) > ( int > int > $o ) > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi1731478210338170163_nat_o: ( nat > int ) > ( num > nat ) > ( int > nat > $o ) > nat > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_vi6818137723729380987_o_o_o: ( nat > nat ) > ( $o > $o ) > ( nat > $o > $o ) > nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.47      bNF_vi1443435967014148806unit_o: ( nat > nat ) > ( $o > product_unit ) > ( nat > product_unit > $o ) > nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi6667456707345531737_nat_o: ( nat > nat ) > ( nat > nat ) > ( nat > nat > $o ) > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat_001_Eo,type,
% 3.29/3.47      bNF_vi2930123780028963665_rat_o: ( nat > nat ) > ( nat > rat ) > ( nat > rat > $o ) > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__String__Ochar_001_Eo,type,
% 3.29/3.47      bNF_vi8943400373106913048char_o: ( nat > nat ) > ( nat > char ) > ( nat > char > $o ) > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_vi190728152058600505_nat_o: ( nat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi1633389952966819264_nat_o: ( product_prod_int_int > int ) > ( num > nat ) > ( int > nat > $o ) > product_prod_int_int > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_Eo,type,
% 3.29/3.47      bNF_vi5082502771524357669nt_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001_Eo,type,
% 3.29/3.47      bNF_vi8966365312794588230_int_o: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_Eo,type,
% 3.29/3.47      bNF_vi33923956287962137eger_o: ( product_prod_nat_nat > int ) > ( int > code_integer ) > ( int > code_integer > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi9094538908245281400_nat_o: ( product_prod_nat_nat > int ) > ( num > nat ) > ( int > nat > $o ) > product_prod_nat_nat > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi2682369418337388893_int_o: ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > ( int > int > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_vi9025507403824386624_o_o_o: ( product_prod_nat_nat > nat ) > ( $o > $o ) > ( nat > $o > $o ) > product_prod_nat_nat > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      bNF_vi5493721401438417730_nat_o: ( product_prod_nat_nat > nat ) > ( int > nat ) > ( nat > nat > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi5426221348228882691_int_o: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_vi763171854521451549_nat_o: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Rat__Orat_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi508398028314858188_int_o: ( rat > int ) > ( code_integer > int ) > ( int > int > $o ) > rat > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__Rat__Orat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_vi2997284877290766385_nat_o: ( rat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > rat > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__String__Ochar_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      bNF_vi7262943168399475603_int_o: ( char > int ) > ( code_integer > int ) > ( int > int > $o ) > char > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Def_Ovimage2p_001t__String__Ochar_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      bNF_vi728936465572800120_nat_o: ( char > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > char > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001_Eo_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr2943678036615987864nt_int: set_o > ( $o > int ) > ( $o > int ) > set_Pr958786334691620121nt_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr1946814795223983584at_nat: set_o > ( $o > nat ) > ( $o > nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001_Eo_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr7727518618234538026at_num: set_o > ( $o > nat ) > ( $o > num ) > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr8686673574714534880nt_int: set_int > ( int > int ) > ( int > int ) > set_Pr958786334691620121nt_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr7689810333322530600at_nat: set_int > ( int > nat ) > ( int > nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr4247142119478309234at_num: set_int > ( int > nat ) > ( int > num ) > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_Gr8315020014477690244nt_int: set_nat > ( nat > int ) > ( nat > int ) > set_Pr958786334691620121nt_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr7318156773085685964at_nat: set_nat > ( nat > nat ) > ( nat > nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr3875488559241464598at_num: set_nat > ( nat > nat ) > ( nat > num ) > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr5511461681843259283at_num: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > num ) > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2p_001t__Int__Oint_001t__Num__Onum_001t__Code____Numeral__Ointeger_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr166583433173494904er_num: ( int > num ) > ( code_integer > num ) > ( int > code_integer > $o ) > num > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2p_001t__Int__Oint_001t__Num__Onum_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.47      bNF_Gr7020624548710275655nt_num: ( int > num ) > ( int > num ) > ( int > int > $o ) > num > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      bNF_Gr364077372107685167_int_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      bNF_Gr1354378531936274772nt_int: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Greatest__Fixpoint_Oimage2p_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_Gr6955563364113978072nt_nat: ( product_prod_nat_nat > nat ) > ( int > nat ) > ( product_prod_nat_nat > int > $o ) > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001_Eo_001_Eo,type,
% 3.29/3.47      bNF_We7690717809131995284nc_o_o: set_o > set_o > set_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We6830391624356636116_o_nat: set_o > set_nat > set_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.47      bNF_We8730861560085513481t_unit: set_o > set_Product_unit > set_o_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_We8537379975951060974nt_int: set_int > set_int > set_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We8539870446460111250nt_nat: set_int > set_nat > set_int_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.47      bNF_We7904740386373615514nt_rat: set_int > set_rat > set_int_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_We7538026264050006418at_int: set_nat > set_int > set_nat_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We7540516734559056694at_nat: set_nat > set_nat > set_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Rat__Orat_001_Eo,type,
% 3.29/3.47      bNF_We6195730058148253354_rat_o: set_rat > set_o > set_rat_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We7223962090624190782at_nat: set_rat > set_nat > set_rat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__Rat__Orat_001t__Product____Type__Ounit,type,
% 3.29/3.47      bNF_We8564238559827753503t_unit: set_rat > set_Product_unit > set_rat_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__String__Ochar_001_Eo,type,
% 3.29/3.47      bNF_We6174688282833725809char_o: set_char > set_o > set_char_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We935846424581991991ar_nat: set_char > set_nat > set_char_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc_001t__String__Ochar_001t__Product____Type__Ounit,type,
% 3.29/3.47      bNF_We7396736742984212070t_unit: set_char > set_Product_unit > set_ch7814610555394875923t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_We2264329196211740764nt_int: set_int > ( int > int ) > ( int > int ) > ( int > int ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We2266819666720791040nt_nat: set_int > ( int > int ) > ( int > nat ) > ( nat > int ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_We1264975484310686208at_int: set_int > ( int > nat ) > ( int > int ) > ( int > int ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We1267465954819736484at_nat: set_int > ( int > nat ) > ( int > nat ) > ( nat > int ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      bNF_We1892675635974896128nt_int: set_int > ( nat > int ) > ( int > int ) > ( int > nat ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We1895166106483946404nt_nat: set_int > ( nat > int ) > ( int > nat ) > ( nat > nat ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      bNF_We893321924073841572at_int: set_int > ( nat > nat ) > ( int > int ) > ( int > nat ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We895812394582891848at_nat: set_int > ( nat > nat ) > ( int > nat ) > ( nat > nat ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Nat__Onat_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.47      bNF_We576767280138975660at_int: set_int > ( nat > rat ) > ( int > int ) > ( int > nat ) > int > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Constructions_OFunc__map_001t__Int__Oint_001t__Nat__Onat_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We579257750648025936at_nat: set_int > ( nat > rat ) > ( int > nat ) > ( nat > nat ) > int > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_BNF__Wellorder__Relation_Owo__rel_001t__Nat__Onat,type,
% 3.29/3.47      bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNF__LFPs_Oprod_Osize__prod_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      basic_1872990034501187214nt_int: ( int > nat ) > ( int > nat ) > product_prod_int_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNF__LFPs_Oprod_Osize__prod_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      basic_1875480505010237490nt_nat: ( int > nat ) > ( nat > nat ) > product_prod_int_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNF__LFPs_Oprod_Osize__prod_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      basic_873636322600132658at_int: ( nat > nat ) > ( int > nat ) > product_prod_nat_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNF__LFPs_Oprod_Osize__prod_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      basic_876126793109182934at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Ofsts_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      basic_685971451221398055t_unit: produc7812382424243267045t_unit > set_ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Ofsts_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      basic_fsts_int_int: product_prod_int_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Ofsts_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      basic_fsts_nat_nat: product_prod_nat_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Ofsts_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      basic_fsts_nat_num: product_prod_nat_num > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Ofsts_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      basic_3661821009137050567at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Ofsts_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      basic_1274512288150691911at_nat: produc1319942482725812455at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Orel__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      basic_5328504652464829177at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Osnds_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.47      basic_1496934909540232809t_unit: produc7812382424243267045t_unit > set_he8644174446132254637t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Osnds_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      basic_snds_int_int: product_prod_int_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Osnds_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      basic_snds_nat_nat: product_prod_nat_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Osnds_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      basic_snds_nat_num: product_prod_nat_num > set_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Osnds_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      basic_484852565060450053at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Basic__BNFs_Osnds_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      basic_5713354656523905413at_nat: produc1319942482725812455at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Bit__Operations_Otake__bit__num,type,
% 3.29/3.47      bit_take_bit_num: nat > num > option_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Obit__cut__integer,type,
% 3.29/3.47      code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Ocr__integer,type,
% 3.29/3.47      code_cr_integer: int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Odivmod__abs,type,
% 3.29/3.47      code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Odivmod__integer,type,
% 3.29/3.47      code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Ointeger_Oint__of__integer,type,
% 3.29/3.47      code_int_of_integer: code_integer > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Onat__of__integer,type,
% 3.29/3.47      code_nat_of_integer: code_integer > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Onegative,type,
% 3.29/3.47      code_negative: num > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Onum__of__integer,type,
% 3.29/3.47      code_num_of_integer: code_integer > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Code__Numeral_Opcr__integer,type,
% 3.29/3.47      code_pcr_integer: int > code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_I_Eo_M_Eo_J,type,
% 3.29/3.47      complete_Inf_Inf_o_o: set_o_o > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.47      comple5770381748412298549_int_o: set_int_int_o > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      comple4393433247856107946_int_o: set_int_o > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      comple1675732732025788397_nat_o: set_nat_nat_o > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.47      comple2433913294995299363_num_o: set_nat_num_o > nat > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      comple6214475593288795910_nat_o: set_nat_o > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J,type,
% 3.29/3.47      comple4707286699709038525_int_o: set_Pr8049984349381595834_int_o > product_prod_int_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.47      comple6265855634338933877_nat_o: set_Pr5582243495563764594_nat_o > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_M_Eo_J,type,
% 3.29/3.47      comple8183010123678664591_nat_o: set_Pr7010166363911110284_nat_o > produc3843707927480180839at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.47      comple8322679762649017525_nat_o: set_se9180647916752606350_nat_o > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.47      comple5307621999477653941_nat_o: set_se7255092946006855566_nat_o > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001_Eo,type,
% 3.29/3.47      complete_Inf_Inf_o: set_o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Int__Oint,type,
% 3.29/3.47      complete_Inf_Inf_int: set_int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Nat__Onat,type,
% 3.29/3.47      complete_Inf_Inf_nat: set_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Product____Type__Ounit,type,
% 3.29/3.47      comple2584293577114468500t_unit: set_Product_unit > product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      comple3063163877087187839_set_o: set_set_o > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.47      comple3628384868704368283et_int: set_set_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      comple7806235888213564991et_nat: set_set_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      comple1626965760690514720nt_int: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      comple1930127330929219688at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.47      comple6868718957223342258at_num: set_se4826145725398303499at_num > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      comple6332534001959699150at_nat: set_se6425085446898223655at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      comple6751905152567503566at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.47      comple4403251139954110286at_nat: set_se7592288975875140775at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      comple7216939928495492468t_unit: set_set_Product_unit > set_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.47      comple4298007329820168263et_rat: set_set_rat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OInf__class_OInf_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.47      comple7965528767983648192t_char: set_set_char > set_char ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_I_Eo_M_Eo_J,type,
% 3.29/3.47      complete_Sup_Sup_o_o: set_o_o > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.47      comple7687260386943045147_int_o: set_int_int_o > int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.47      comple6496622788309502864_int_o: set_int_o > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.47      comple3592611370556534995_nat_o: set_nat_nat_o > nat > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.47      comple4350791933526045961_num_o: set_nat_num_o > nat > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      comple8317665133742190828_nat_o: set_nat_o > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J,type,
% 3.29/3.47      comple342879659800731223_int_o: set_Pr8049984349381595834_int_o > product_prod_int_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.47      comple1901448594430626575_nat_o: set_Pr5582243495563764594_nat_o > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_M_Eo_J,type,
% 3.29/3.47      comple1177764198577243945_nat_o: set_Pr7010166363911110284_nat_o > produc3843707927480180839at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.47      comple493620192902636699_nat_o: set_se9180647916752606350_nat_o > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.47      comple4502628867940267931_nat_o: set_se7255092946006855566_nat_o > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001_Eo,type,
% 3.29/3.47      complete_Sup_Sup_o: set_o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Int__Oint,type,
% 3.29/3.47      complete_Sup_Sup_int: set_int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Nat__Onat,type,
% 3.29/3.47      complete_Sup_Sup_nat: set_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Product____Type__Ounit,type,
% 3.29/3.47      comple4687483117567863418t_unit: set_Product_unit > product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      comple90263536869209701_set_o: set_set_o > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comple6989579708249578522t_unit: set_se4612898379794543757t_unit > set_he8644174446132254637t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.47      comple3221217463730067765et_int: set_set_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      comple7399068483239264473et_nat: set_set_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.47      comple5382143125604098054nt_int: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      comple5685304695842803022at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.47      comple1400524285282149784at_num: set_se4826145725398303499at_num > set_Pr6200539531224447659at_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      comple2748534634209756852at_nat: set_se6425085446898223655at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      comple4364388969068068532at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.47      comple7342073961973170484at_nat: set_se7592288975875140775at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      comple3349607820504768346t_unit: set_set_Product_unit > set_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.47      comple3890839924845867745et_rat: set_set_rat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.47      comple4338141846124676698t_char: set_set_char > set_char ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001_Eo,type,
% 3.29/3.47      condit5488710616941104124bove_o: set_o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      condit1118808407379112185nteger: set_Code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Int__Oint,type,
% 3.29/3.47      condit2212336002400062152ve_int: set_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Nat__Onat,type,
% 3.29/3.47      condit2214826472909112428ve_nat: set_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Product____Type__Ounit,type,
% 3.29/3.47      condit2080475194861589617t_unit: set_Product_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Rat__Orat,type,
% 3.29/3.47      condit1579696412822616692ve_rat: set_rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      condit5477540289124974626et_nat: set_set_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001_Eo,type,
% 3.29/3.47      condit5413489452508810728elow_o: set_o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      condit4933233095834890765nteger: set_Code_integer > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001t__Int__Oint,type,
% 3.29/3.47      condit1735850657277959132ow_int: set_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001t__Nat__Onat,type,
% 3.29/3.47      condit1738341127787009408ow_nat: set_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001t__Product____Type__Ounit,type,
% 3.29/3.47      condit9161856309968323677t_unit: set_Product_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001t__Rat__Orat,type,
% 3.29/3.47      condit1103211067700513672ow_rat: set_rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__below_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      condit68592940725977398et_nat: set_set_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Countable_Onat__to__rat__surj,type,
% 3.29/3.47      nat_to_rat_surj: nat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Divides_Oadjust__div,type,
% 3.29/3.47      adjust_div: product_prod_int_int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Divides_Odivmod__nat,type,
% 3.29/3.47      divmod_nat: nat > nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Int__Oint,type,
% 3.29/3.47      unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Divides_Ounique__euclidean__semiring__numeral__class_Odivmod__step_001t__Nat__Onat,type,
% 3.29/3.47      unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Euclidean__Division_Oeuclidean__semiring__class_Oeuclidean__size_001t__Int__Oint,type,
% 3.29/3.47      euclid4774559944035922753ze_int: int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fields_Oinverse__class_Oinverse_001t__Rat__Orat,type,
% 3.29/3.47      inverse_inverse_rat: rat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_OFpow_001t__Int__Oint,type,
% 3.29/3.47      finite_Fpow_int: set_int > set_set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_OFpow_001t__Nat__Onat,type,
% 3.29/3.47      finite_Fpow_nat: set_nat > set_set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_OFpow_001t__Rat__Orat,type,
% 3.29/3.47      finite_Fpow_rat: set_rat > set_set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocard_001t__Int__Oint,type,
% 3.29/3.47      finite_card_int: set_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocard_001t__Nat__Onat,type,
% 3.29/3.47      finite_card_nat: set_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocard_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocard_001t__Rat__Orat,type,
% 3.29/3.47      finite_card_rat: set_rat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      finite6756937295472016048nteger: set_Co726186806682698383nteger > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001_Eo_001_Eo,type,
% 3.29/3.47      finite7905178416053733328on_o_o: set_o > ( $o > $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      finite4703585013658510744_o_nat: set_o > ( $o > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      finite366418920864469932nteger: set_Code_integer > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      finite5985214029334008090_int_o: set_int > ( int > $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      finite4582259249640653518nt_nat: set_int > ( int > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      finite7806256374766696054_nat_o: set_nat > ( nat > $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      finite3582905537739598962at_nat: set_nat > ( nat > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      finite1496024664758132007_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      finite2110315540964234241at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001_Eo,type,
% 3.29/3.47      finite2818816984019561153_nat_o: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > $o > $o ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__commute__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Nat__Onat,type,
% 3.29/3.47      finite8619596206551965927at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      finite954763878425697269nteger: set_Co726186806682698383nteger > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      finite2426395113773319005_o_nat: set_o > ( $o > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      finite917065715488314481nteger: set_Code_integer > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      finite8981753823465611337nt_nat: set_int > ( int > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      finite7982400111564556781at_nat: set_nat > ( nat > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      finite5150387867909132486at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ocomp__fun__idem__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Nat__Onat,type,
% 3.29/3.47      finite352855791390415404at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > nat > nat ) > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001_Eo,type,
% 3.29/3.47      finite_finite_o: set_o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Int__Oint,type,
% 3.29/3.47      finite_finite_int: set_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.47      finite8100373058378681591st_nat: set_list_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Nat__Onat,type,
% 3.29/3.47      finite_finite_nat: set_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Product____Type__Ounit,type,
% 3.29/3.47      finite4290736615968046902t_unit: set_Product_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__Rat__Orat,type,
% 3.29/3.47      finite_finite_rat: set_rat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Finite__Set_Ofinite_001t__String__Ochar,type,
% 3.29/3.47      finite_finite_char: set_char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Obij__betw_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_C2822359487432382964nteger: ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      comp_C3983183376822107068nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      comp_C7826480081638475456nteger: ( ( code_integer > code_integer ) > code_integer ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_C6484513282182537548nteger: ( ( code_integer > code_integer ) > produc101387210554329899nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc101387210554329899nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_P3928908779438215820nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.47      comp_o_o_o: ( $o > $o ) > ( $o > $o ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001_Eo_001t__Int__Oint,type,
% 3.29/3.47      comp_o_o_int: ( $o > $o ) > ( int > $o ) > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_o_nat: ( $o > $o ) > ( nat > $o ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001_Eo_001t__Num__Onum,type,
% 3.29/3.47      comp_o_o_num: ( $o > $o ) > ( num > $o ) > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_int_nat: ( $o > int ) > ( nat > $o ) > nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      comp_o_nat_o: ( $o > nat ) > ( $o > $o ) > $o > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_o_nat_int: ( $o > nat ) > ( int > $o ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_nat_nat: ( $o > nat ) > ( nat > $o ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      comp_o_num_o: ( $o > num ) > ( $o > $o ) > $o > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.47      comp_o_num_int: ( $o > num ) > ( int > $o ) > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_num_nat: ( $o > num ) > ( nat > $o ) > nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_o_num_num: ( $o > num ) > ( num > $o ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_o7658611401268416066_o_nat: ( $o > product_prod_o_o ) > ( nat > $o ) > nat > product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_I_Eo_J_001t__Product____Type__Ounit,type,
% 3.29/3.47      comp_o6895741221744486154t_unit: ( $o > set_o ) > ( product_unit > $o ) > product_unit > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Int__Oint_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_set_int_nat: ( $o > set_int ) > ( nat > $o ) > nat > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Int__Oint_J_001t__Product____Type__Ounit,type,
% 3.29/3.47      comp_o1521574261646630388t_unit: ( $o > set_int ) > ( product_unit > $o ) > product_unit > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_set_nat_nat: ( $o > set_nat ) > ( nat > $o ) > nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.47      comp_o9190160103024335696t_unit: ( $o > set_nat ) > ( product_unit > $o ) > product_unit > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Ounit,type,
% 3.29/3.47      comp_o2254869825208929t_unit: ( $o > set_Pr1261947904930325089at_nat ) > ( product_unit > $o ) > product_unit > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Product____Type__Ounit,type,
% 3.29/3.47      comp_o4913564575355137019t_unit: ( $o > set_Pr4329608150637261639at_nat ) > ( product_unit > $o ) > product_unit > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__Set__Oset_It__Rat__Orat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_o_set_rat_nat: ( $o > set_rat ) > ( nat > $o ) > nat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001_Eo_001t__String__Ochar_001_Eo,type,
% 3.29/3.47      comp_o_char_o: ( $o > char ) > ( $o > $o ) > $o > char ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_C2931745410781319416nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_C7449957260575251196nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum,type,
% 3.29/3.47      comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      comp_C1043215000170864188nteger: ( code_integer > code_integer ) > ( produc8923325533196201883nteger > code_integer ) > produc8923325533196201883nteger > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.47      comp_C2177396528461469320um_int: ( code_integer > num ) > ( int > code_integer ) > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Code____Numeral__Ointeger_001t__Num__Onum_001t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      comp_C8580465762518603278nteger: ( code_integer > num ) > ( produc2963269191615333738nteger > code_integer ) > produc2963269191615333738nteger > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_h4837689053573563144t_unit: ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_h7449592329096033597t_unit: ( heap_e7401611519738050253t_unit > int ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_h8354993580257045729t_unit: ( heap_e7401611519738050253t_unit > nat ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_h5940001671827863714t_unit: ( heap_e7401611519738050253t_unit > produc8126358835630522215t_unit ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > produc8126358835630522215t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_r3604920825623061426t_unit: ( ref_a > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_r2143332150499412868t_unit: ( ref_a > ref_a ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oref_Itf__a_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_r7249815618783853587t_unit: ( ref_a > int ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oref_Itf__a_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_r8155216869944865719t_unit: ( ref_a > nat ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oref_Itf__a_J_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_r6154141770783548544t_unit: ( ref_a > produc5288414631154139675_ref_a ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > produc5288414631154139675_ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_i653165354545908656at_int: ( int > int > $o ) > ( produc4196048018000912732at_int > int ) > produc4196048018000912732at_int > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001_062_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_i4519014998770822500at_int: ( int > int > int ) > ( produc4196048018000912732at_int > int ) > produc4196048018000912732at_int > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001_Eo_001_Eo,type,
% 3.29/3.47      comp_int_o_o: ( int > $o ) > ( $o > int ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001_Eo_001t__Int__Oint,type,
% 3.29/3.47      comp_int_o_int: ( int > $o ) > ( int > int ) > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      comp_int_o_nat: ( int > $o ) > ( nat > int ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.47      comp_i1585864551200866970er_int: ( int > code_integer ) > ( int > int ) > int > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      comp_int_int_o: ( int > int ) > ( $o > int ) > $o > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_i2224564030725804698nteger: ( int > int ) > ( code_integer > int ) > code_integer > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      comp_int_int_int: ( int > int ) > ( int > int ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      comp_int_int_nat: ( int > int ) > ( nat > int ) > nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_i4330622015127193916nt_int: ( int > int ) > ( product_prod_int_int > int ) > product_prod_int_int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.47      comp_int_int_rat: ( int > int ) > ( rat > int ) > rat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.47      comp_int_int_char: ( int > int ) > ( char > int ) > char > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      comp_int_nat_o: ( int > nat ) > ( $o > int ) > $o > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_int_nat_nat: ( int > nat ) > ( nat > int ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_i1292779930663060120nt_int: ( int > nat ) > ( product_prod_int_int > int ) > product_prod_int_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_i4471277238271202272at_nat: ( int > nat ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_i5627883460353289149at_int: ( int > nat ) > ( produc4196048018000912732at_int > int ) > produc4196048018000912732at_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      comp_int_nat_rat: ( int > nat ) > ( rat > int ) > rat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.47      comp_int_nat_char: ( int > nat ) > ( char > int ) > char > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.47      comp_int_num_int: ( int > num ) > ( int > int ) > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      comp_int_num_nat: ( int > num ) > ( nat > int ) > nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_int_num_num: ( int > num ) > ( num > int ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Num__Onum_001t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      comp_i3846818780818535807nteger: ( int > num ) > ( produc2963269191615333738nteger > int ) > produc2963269191615333738nteger > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Num__Onum_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_i7231038107349025742nt_int: ( int > num ) > ( product_prod_int_int > int ) > product_prod_int_int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Num__Onum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_i1186163378102392086at_nat: ( int > num ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_i1108739374719436894at_int: ( int > product_prod_nat_nat ) > ( int > int ) > int > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.47      comp_int_rat_nat: ( int > rat ) > ( nat > int ) > nat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_int_set_nat_int: ( int > set_nat ) > ( int > int ) > int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001_Eo_001_Eo,type,
% 3.29/3.47      comp_nat_o_o: ( nat > $o ) > ( $o > nat ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001_Eo_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_o_int: ( nat > $o ) > ( int > nat ) > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_o_nat: ( nat > $o ) > ( nat > nat ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_n1662990198670838940at_nat: ( nat > $o ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      comp_nat_int_o: ( nat > int ) > ( $o > nat ) > $o > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_int_int: ( nat > int ) > ( int > nat ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_int_nat: ( nat > int ) > ( nat > nat ) > nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.47      comp_nat_int_num: ( nat > int ) > ( num > nat ) > num > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_n5749082658982224864at_nat: ( nat > int ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.47      comp_nat_int_rat: ( nat > int ) > ( rat > nat ) > rat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.47      comp_nat_int_char: ( nat > int ) > ( char > nat ) > char > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      comp_nat_nat_o: ( nat > nat ) > ( $o > nat ) > $o > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_nat_int: ( nat > nat ) > ( int > nat ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      comp_nat_nat_num: ( nat > nat ) > ( num > nat ) > num > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_n2711240574518091068at_nat: ( nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      comp_nat_nat_rat: ( nat > nat ) > ( rat > nat ) > rat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.47      comp_nat_nat_char: ( nat > nat ) > ( char > nat ) > char > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Num__Onum_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_n2103536230552569900nteger: ( nat > num ) > ( code_integer > nat ) > code_integer > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_num_int: ( nat > num ) > ( int > nat ) > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_num_nat: ( nat > num ) > ( nat > nat ) > nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_nat_num_num: ( nat > num ) > ( num > nat ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Num__Onum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_n8649498751204056690at_nat: ( nat > num ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_n8574565218330151774at_nat: ( nat > product_prod_nat_nat ) > ( nat > nat ) > nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_001t__Int__Oint,type,
% 3.29/3.47      comp_n8531277669757933902um_int: ( nat > product_prod_num_num ) > ( int > nat ) > int > product_prod_num_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_rat_int: ( nat > rat ) > ( int > nat ) > int > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_rat_nat: ( nat > rat ) > ( nat > nat ) > nat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.47      comp_nat_rat_rat: ( nat > rat ) > ( rat > nat ) > rat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.47      comp_nat_rat_char: ( nat > rat ) > ( char > nat ) > char > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_set_nat_int: ( nat > set_nat ) > ( int > nat ) > int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_set_nat_nat: ( nat > set_nat ) > ( nat > nat ) > nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Set__Oset_It__Rat__Orat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_nat_set_rat_int: ( nat > set_rat ) > ( int > nat ) > int > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__Set__Oset_It__Rat__Orat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_nat_set_rat_nat: ( nat > set_rat ) > ( nat > nat ) > nat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Nat__Onat_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.47      comp_nat_char_char: ( nat > char ) > ( char > nat ) > char > char ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001_Eo_001_Eo,type,
% 3.29/3.47      comp_num_o_o: ( num > $o ) > ( $o > num ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001_Eo_001t__Int__Oint,type,
% 3.29/3.47      comp_num_o_int: ( num > $o ) > ( int > num ) > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      comp_num_o_nat: ( num > $o ) > ( nat > num ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001_Eo_001t__Num__Onum,type,
% 3.29/3.47      comp_num_o_num: ( num > $o ) > ( num > num ) > num > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_num_nat_int: ( num > nat ) > ( int > num ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_num_nat_nat: ( num > nat ) > ( nat > num ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.47      comp_num_nat_num: ( num > nat ) > ( num > num ) > num > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Num__Onum_001_Eo,type,
% 3.29/3.47      comp_num_num_o: ( num > num ) > ( $o > num ) > $o > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Num__Onum_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_n8557746072492896886nteger: ( num > num ) > ( code_integer > num ) > code_integer > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.47      comp_num_num_int: ( num > num ) > ( int > num ) > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      comp_num_num_nat: ( num > num ) > ( nat > num ) > nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_num_num_num: ( num > num ) > ( num > num ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J_001t__Int__Oint,type,
% 3.29/3.47      comp_num_set_int_int: ( num > set_int ) > ( int > num ) > int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_num_set_nat_int: ( num > set_nat ) > ( int > num ) > int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Num__Onum_001t__Set__Oset_It__Rat__Orat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_num_set_rat_int: ( num > set_rat ) > ( int > num ) > int > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Product____Type__Oprod_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      comp_P8564252314792299288nteger: ( produc723880050079548563nteger > produc101387210554329899nteger ) > ( code_integer > produc723880050079548563nteger ) > code_integer > produc101387210554329899nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001_Eo_001_Eo,type,
% 3.29/3.47      comp_P2137996956111167876_o_o_o: ( product_prod_o_o > $o ) > ( $o > product_prod_o_o ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001_Eo,type,
% 3.29/3.47      comp_P551574746845053877_o_o_o: ( product_prod_o_o > product_prod_o_o ) > ( $o > product_prod_o_o ) > $o > product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_P7034811116587396339_o_nat: ( product_prod_o_o > product_prod_o_o ) > ( nat > product_prod_o_o ) > nat > product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P4785046977597218846at_nat: ( product_prod_o_o > product_prod_o_o ) > ( product_prod_nat_nat > product_prod_o_o ) > product_prod_nat_nat > product_prod_o_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001_Eo,type,
% 3.29/3.47      comp_P1471321874221585045at_o_o: ( product_prod_o_o > product_prod_nat_o ) > ( $o > product_prod_o_o ) > $o > product_prod_nat_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P465755969289462830at_int: ( product_prod_o_int > product_prod_o_nat ) > ( product_prod_nat_int > product_prod_o_int ) > product_prod_nat_int > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      comp_P1422407636550552773_nat_o: ( product_prod_o_nat > product_prod_o_nat ) > ( $o > product_prod_o_nat ) > $o > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_P1391661485614827491at_nat: ( product_prod_o_nat > product_prod_o_nat ) > ( nat > product_prod_o_nat ) > nat > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P4962864564169660718at_nat: ( product_prod_o_nat > product_prod_o_nat ) > ( product_prod_nat_nat > product_prod_o_nat ) > product_prod_nat_nat > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_I_Eo_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P9057111047297513408at_int: ( product_prod_o_nat > product_prod_o_num ) > ( product_prod_nat_int > product_prod_o_nat ) > product_prod_nat_int > product_prod_o_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      comp_P196761593691424337_nat_o: ( product_prod_o_nat > product_prod_nat_nat ) > ( $o > product_prod_o_nat ) > $o > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      comp_P972951341003599239_nat_o: ( product_prod_o_nat > product_prod_num_nat ) > ( $o > product_prod_o_nat ) > $o > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      comp_P3428181540658402820nteger: ( produc8923325533196201883nteger > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_P8237986404257982958t_unit: ( produc8126358835630522215t_unit > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > produc8126358835630522215t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oref_Itf__a_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_P3239167524078694454t_unit: ( produc1799199577659733785_ref_a > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > produc1799199577659733785_ref_a ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oref_Itf__a_J_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_P1287623958910499840t_unit: ( produc1799199577659733785_ref_a > ref_a ) > ( produc7812382424243267045t_unit > produc1799199577659733785_ref_a ) > produc7812382424243267045t_unit > ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      comp_P2006160480335490974_ref_a: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > ( produc1799199577659733785_ref_a > produc7812382424243267045t_unit ) > produc1799199577659733785_ref_a > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_P8019343326919024234t_unit: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > produc7812382424243267045t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P6390991081591698364at_nat: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > ( product_prod_nat_nat > produc7812382424243267045t_unit ) > product_prod_nat_nat > heap_e7401611519738050253t_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.47      comp_P7254561687666694144_ref_a: ( produc7812382424243267045t_unit > ref_a ) > ( produc1799199577659733785_ref_a > produc7812382424243267045t_unit ) > produc1799199577659733785_ref_a > ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_P4044372497395451596t_unit: ( produc7812382424243267045t_unit > ref_a ) > ( produc7812382424243267045t_unit > produc7812382424243267045t_unit ) > produc7812382424243267045t_unit > ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P7986581389989349338at_nat: ( produc7812382424243267045t_unit > ref_a ) > ( product_prod_nat_nat > produc7812382424243267045t_unit ) > product_prod_nat_nat > ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oref_Itf__a_J_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.47      comp_P9134237804721252988t_unit: ( produc5288414631154139675_ref_a > ref_a ) > ( produc7812382424243267045t_unit > produc5288414631154139675_ref_a ) > produc7812382424243267045t_unit > ref_a ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P9034173210191959223nt_int: ( product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      comp_P6651465171681656048nt_int: ( product_prod_int_int > int ) > ( int > product_prod_int_int ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      comp_P6653955642190706324nt_nat: ( product_prod_int_int > int ) > ( nat > product_prod_int_int ) > nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P5356232565778667509nt_int: ( product_prod_int_int > int ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.47      comp_P6018825582104210588nt_rat: ( product_prod_int_int > int ) > ( rat > product_prod_int_int ) > rat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.47      comp_P4161745170962941589t_char: ( product_prod_int_int > int ) > ( char > product_prod_int_int ) > char > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P2318390481314533713nt_int: ( product_prod_int_int > nat ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P2788356708182965334nt_int: ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_P2134349925370910487at_int: ( product_prod_int_int > product_prod_nat_nat ) > ( int > product_prod_int_int ) > int > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P3488689526429045841nt_nat: ( product_prod_int_nat > nat ) > ( product_prod_int_nat > product_prod_int_nat ) > product_prod_int_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Int__Oint,type,
% 3.29/3.47      comp_P1145193044942399421um_int: ( product_prod_int_nat > product_prod_nat_num ) > ( int > product_prod_int_nat ) > int > product_prod_nat_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_P5799945282029801519_o_nat: ( product_prod_nat_o > product_prod_nat_o ) > ( nat > product_prod_nat_o ) > nat > product_prod_nat_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P8901546994122883554at_nat: ( product_prod_nat_o > product_prod_nat_o ) > ( product_prod_nat_nat > product_prod_nat_o ) > product_prod_nat_nat > product_prod_nat_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Product____Type__Oprod_It__Num__Onum_M_Eo_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_P6576135029341976421_o_nat: ( product_prod_nat_o > product_prod_num_o ) > ( nat > product_prod_nat_o ) > nat > product_prod_num_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Product____Type__Oprod_It__Num__Onum_M_Eo_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P5807473265676440968nt_nat: ( product_prod_nat_o > product_prod_num_o ) > ( product_prod_int_nat > product_prod_nat_o ) > product_prod_int_nat > product_prod_num_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P397146161216181329at_int: ( product_prod_nat_int > nat ) > ( product_prod_nat_int > product_prod_nat_int ) > product_prod_nat_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_P8376639181999047357at_int: ( product_prod_nat_int > product_prod_num_nat ) > ( int > product_prod_nat_int ) > int > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P3772045228931366376nt_int: ( product_prod_nat_int > product_prod_num_nat ) > ( product_prod_int_int > product_prod_nat_int ) > product_prod_int_int > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P2002127591014248037at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P7900071416159368952at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > produc4196048018000912732at_int > product_prod_nat_nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P3913276677246710332at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P4524073163769703009at_int: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > produc4196048018000912732at_int > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P4605287290794827253at_nat: ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_P1953119740877977564at_int: ( product_prod_nat_nat > nat ) > ( int > product_prod_nat_nat ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.47      comp_P5292260908303971472st_nat: ( product_prod_nat_nat > nat ) > ( list_nat > product_prod_nat_nat ) > list_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_P1955610211387027840at_nat: ( product_prod_nat_nat > nat ) > ( nat > product_prod_nat_nat ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P1567445206330693457at_nat: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P8635049891247748876at_int: ( product_prod_nat_nat > nat ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > produc4196048018000912732at_int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      comp_P1320480151300532104at_rat: ( product_prod_nat_nat > nat ) > ( rat > product_prod_nat_nat ) > rat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.47      comp_P1491501995297412481t_char: ( product_prod_nat_nat > nat ) > ( char > product_prod_nat_nat ) > char > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_P7428279379633703887at_int: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > int > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_P7430769850142754163at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > ( nat > product_prod_nat_nat ) > nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P6334688330072917552at_int: ( product_prod_nat_nat > product_prod_nat_num ) > ( product_prod_nat_int > product_prod_nat_nat ) > product_prod_nat_int > product_prod_nat_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_P5371577678113413053at_nat: ( product_prod_nat_nat > product_prod_num_nat ) > ( nat > product_prod_nat_nat ) > nat > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P5124699952429557552nt_nat: ( product_prod_nat_nat > product_prod_num_nat ) > ( product_prod_int_nat > product_prod_nat_nat ) > product_prod_int_nat > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_001t__Int__Oint,type,
% 3.29/3.47      comp_P7387482301570536291um_int: ( product_prod_nat_nat > product_prod_num_num ) > ( int > product_prod_nat_nat ) > int > product_prod_num_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      comp_P9218946435557410242nt_int: ( product_prod_nat_nat > product_prod_num_num ) > ( product_prod_int_int > product_prod_nat_nat ) > product_prod_int_int > product_prod_num_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Nat__Onat_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P8336958949797789649um_nat: ( product_prod_nat_num > nat ) > ( product_prod_num_nat > product_prod_nat_num ) > product_prod_num_nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Num__Onum_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J,type,
% 3.29/3.47      comp_P5051845089628979463um_nat: ( product_prod_nat_num > num ) > ( product_prod_num_nat > product_prod_nat_num ) > product_prod_num_nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Num__Onum,type,
% 3.29/3.47      comp_P3192427084145116251at_num: ( product_prod_num_nat > product_prod_o_nat ) > ( num > product_prod_num_nat ) > num > product_prod_o_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Num__Onum,type,
% 3.29/3.47      comp_P2539519431309506803at_num: ( product_prod_num_nat > product_prod_nat_nat ) > ( num > product_prod_num_nat ) > num > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Num__Onum,type,
% 3.29/3.47      comp_P480327259280165693at_num: ( product_prod_num_nat > product_prod_num_nat ) > ( num > product_prod_num_nat ) > num > product_prod_num_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.47      comp_P4305060815297604026um_int: ( product_prod_num_num > num ) > ( int > product_prod_num_num ) > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_P864883071962432936um_num: ( product_prod_num_num > num ) > ( num > product_prod_num_num ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      comp_P4974406650942564362at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      comp_P4528037747288561284at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.47      comp_P3728553842126764068at_nat: ( produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ) > ( produc1319942482725812455at_nat > produc1319942482725812455at_nat ) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      comp_P8235817900121468292at_nat: ( produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ) > ( set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Ounit_001_Eo_001_Eo,type,
% 3.29/3.47      comp_P5156358013004227690it_o_o: ( product_unit > $o ) > ( $o > product_unit ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Product____Type__Ounit_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      comp_P4985893458130756478_o_nat: ( product_unit > $o ) > ( nat > product_unit ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001_Eo_001_Eo,type,
% 3.29/3.47      comp_rat_o_o: ( rat > $o ) > ( $o > rat ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      comp_rat_o_nat: ( rat > $o ) > ( nat > rat ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      comp_rat_int_int: ( rat > int ) > ( int > rat ) > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      comp_rat_int_nat: ( rat > int ) > ( nat > rat ) > nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.47      comp_rat_int_char: ( rat > int ) > ( char > rat ) > char > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      comp_rat_nat_o: ( rat > nat ) > ( $o > rat ) > $o > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_rat_nat_int: ( rat > nat ) > ( int > rat ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_rat_nat_nat: ( rat > nat ) > ( nat > rat ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      comp_rat_nat_rat: ( rat > nat ) > ( rat > rat ) > rat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.47      comp_rat_nat_char: ( rat > nat ) > ( char > rat ) > char > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      comp_rat_num_nat: ( rat > num ) > ( nat > rat ) > nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_rat_num_num: ( rat > num ) > ( num > rat ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.47      comp_rat_rat_nat: ( rat > rat ) > ( nat > rat ) > nat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.47      comp_rat_rat_char: ( rat > rat ) > ( char > rat ) > char > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Rat__Orat_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.47      comp_rat_char_char: ( rat > char ) > ( char > rat ) > char > char ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Set__Oset_It__Code____Numeral__Ointeger_J_001t__Set__Oset_I_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.47      comp_s4786119426940707554nteger: ( set_Co726186806682698383nteger > set_Code_integer ) > ( set_Pr4111642102156807771nteger > set_Co726186806682698383nteger ) > set_Pr4111642102156807771nteger > set_Code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_I_Eo_J_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      comp_s9189197539837705563_set_o: ( set_o > set_nat ) > ( set_o > set_o ) > set_o > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      comp_s7717450105097109807et_nat: ( set_int > set_int ) > ( set_nat > set_int ) > set_nat > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J,type,
% 3.29/3.47      comp_s2487324123861929025et_int: ( set_int > set_int ) > ( set_set_int > set_int ) > set_set_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J,type,
% 3.29/3.47      comp_s5712175470073906149et_int: ( set_int > set_nat ) > ( set_set_int > set_int ) > set_set_int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J_001_Eo,type,
% 3.29/3.47      comp_s7011316712748663051_int_o: ( set_nat > set_int ) > ( $o > set_nat ) > $o > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J_001t__Int__Oint,type,
% 3.29/3.47      comp_s5617672292595496825nt_int: ( set_nat > set_int ) > ( int > set_nat ) > int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_s5620162763104547101nt_nat: ( set_nat > set_int ) > ( nat > set_nat ) > nat > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Num__Onum_J,type,
% 3.29/3.47      comp_s6458263553158497821et_num: ( set_nat > set_int ) > ( set_num > set_nat ) > set_num > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      comp_s3768223441818958217et_nat: ( set_nat > set_int ) > ( set_set_nat > set_nat ) > set_set_nat > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      comp_s33089643564333159_nat_o: ( set_nat > set_nat ) > ( $o > set_nat ) > $o > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_s3430750717902475037at_int: ( set_nat > set_nat ) > ( int > set_nat ) > int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_s3433241188411525313at_nat: ( set_nat > set_nat ) > ( nat > set_nat ) > nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      comp_s8964582002068861047et_nat: ( set_nat > set_nat ) > ( set_nat > set_nat ) > set_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      comp_s6993074788030935341et_nat: ( set_nat > set_nat ) > ( set_set_nat > set_nat ) > set_set_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Rat__Orat_J_001_Eo,type,
% 3.29/3.47      comp_s8507027185284273247_rat_o: ( set_nat > set_rat ) > ( $o > set_nat ) > $o > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Rat__Orat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_s8253438564248248613at_int: ( set_nat > set_rat ) > ( int > set_nat ) > int > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Rat__Orat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_s8255929034757298889at_nat: ( set_nat > set_rat ) > ( nat > set_nat ) > nat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Rat__Orat_J_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      comp_s6435139744279249717et_nat: ( set_nat > set_rat ) > ( set_set_nat > set_nat ) > set_set_nat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      comp_s7355055891894327172at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J,type,
% 3.29/3.47      comp_s8709038167382007543et_int: ( set_set_int > set_int ) > ( set_set_int > set_set_int ) > set_set_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      comp_s1975749275458958491et_nat: ( set_set_int > set_int ) > ( set_set_nat > set_set_int ) > set_set_nat > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J,type,
% 3.29/3.47      comp_s6907669228194913343et_int: ( set_set_nat > set_nat ) > ( set_set_int > set_set_nat ) > set_set_int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      comp_s174380336271864291et_nat: ( set_set_nat > set_nat ) > ( set_set_nat > set_set_nat ) > set_set_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__Set__Oset_It__Set__Oset_It__Rat__Orat_J_J_001t__Set__Oset_It__Rat__Orat_J_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.47      comp_s703482200030188019et_nat: ( set_set_rat > set_rat ) > ( set_set_nat > set_set_rat ) > set_set_nat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001_Eo_001_Eo,type,
% 3.29/3.47      comp_char_o_o: ( char > $o ) > ( $o > char ) > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001_Eo_001t__String__Ochar,type,
% 3.29/3.47      comp_char_o_char: ( char > $o ) > ( char > char ) > char > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.47      comp_char_int_char: ( char > int ) > ( char > char ) > char > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      comp_char_nat_int: ( char > nat ) > ( int > char ) > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      comp_char_nat_nat: ( char > nat ) > ( nat > char ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.47      comp_char_nat_char: ( char > nat ) > ( char > char ) > char > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.47      comp_char_num_nat: ( char > num ) > ( nat > char ) > nat > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.47      comp_char_num_num: ( char > num ) > ( num > char ) > num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Num__Onum_001t__String__Ochar,type,
% 3.29/3.47      comp_char_num_char: ( char > num ) > ( char > char ) > char > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.47      comp_char_rat_char: ( char > rat ) > ( char > char ) > char > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Int__Oint_J_001_Eo,type,
% 3.29/3.47      comp_char_set_int_o: ( char > set_int ) > ( $o > char ) > $o > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Int__Oint_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_c3102392033783471720nt_nat: ( char > set_int ) > ( nat > char ) > nat > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Int__Oint_J_001t__Num__Onum,type,
% 3.29/3.47      comp_c8883095856794026162nt_num: ( char > set_int ) > ( num > char ) > num > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Nat__Onat_J_001_Eo,type,
% 3.29/3.47      comp_char_set_nat_o: ( char > set_nat ) > ( $o > char ) > $o > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_c912979988581399656at_int: ( char > set_nat ) > ( int > char ) > int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_c915470459090449932at_nat: ( char > set_nat ) > ( nat > char ) > nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Nat__Onat_J_001t__Num__Onum,type,
% 3.29/3.47      comp_c6696174282101004374at_num: ( char > set_nat ) > ( num > char ) > num > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Rat__Orat_J_001_Eo,type,
% 3.29/3.47      comp_char_set_rat_o: ( char > set_rat ) > ( $o > char ) > $o > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Rat__Orat_J_001t__Int__Oint,type,
% 3.29/3.47      comp_c5735667834927173232at_int: ( char > set_rat ) > ( int > char ) > int > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Rat__Orat_J_001t__Nat__Onat,type,
% 3.29/3.47      comp_c5738158305436223508at_nat: ( char > set_rat ) > ( nat > char ) > nat > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__Set__Oset_It__Rat__Orat_J_001t__Num__Onum,type,
% 3.29/3.47      comp_c2295490091592002142at_num: ( char > set_rat ) > ( num > char ) > num > set_rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ocomp_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.47      comp_char_char_char: ( char > char ) > ( char > char ) > char > char ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001_Eo_001_Eo,type,
% 3.29/3.47      fun_upd_o_o: ( $o > $o ) > $o > $o > $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001_Eo_001t__Nat__Onat,type,
% 3.29/3.47      fun_upd_o_nat: ( $o > nat ) > $o > nat > $o > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.47      fun_up846054379331416818t_unit: ( $o > product_unit ) > $o > product_unit > $o > product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001_Eo_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      fun_upd_o_set_o: ( $o > set_o ) > $o > set_o > $o > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001_Eo_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      fun_up4718931970374059986t_unit: ( $o > set_Product_unit ) > $o > set_Product_unit > $o > set_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      fun_up8056716234270145717nteger: ( code_integer > code_integer > code_integer ) > code_integer > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      fun_up8139772397987072257nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001_Eo,type,
% 3.29/3.47      fun_upd_int_o: ( int > $o ) > int > $o > int > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.47      fun_upd_int_int: ( int > int ) > int > int > int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.47      fun_upd_int_nat: ( int > nat ) > int > nat > int > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.47      fun_upd_int_num: ( int > num ) > int > num > int > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.47      fun_up2220634978854545698t_unit: ( int > product_unit ) > int > product_unit > int > product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      fun_upd_int_set_o: ( int > set_o ) > int > set_o > int > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      fun_upd_int_set_nat: ( int > set_nat ) > int > set_nat > int > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      fun_up5054257004045450754t_unit: ( int > set_Product_unit ) > int > set_Product_unit > int > set_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Nat__Onat_001_Eo,type,
% 3.29/3.47      fun_upd_nat_o: ( nat > $o ) > nat > $o > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.47      fun_upd_nat_int: ( nat > int ) > nat > int > nat > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.47      fun_upd_nat_nat: ( nat > nat ) > nat > nat > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.47      fun_upd_nat_rat: ( nat > rat ) > nat > rat > nat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Nat__Onat_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      fun_upd_nat_set_o: ( nat > set_o ) > nat > set_o > nat > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      fun_up1220017903161424222t_unit: ( nat > set_Product_unit ) > nat > set_Product_unit > nat > set_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.47      fun_up5432024876597553480unit_o: ( product_unit > $o ) > product_unit > $o > product_unit > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.47      fun_up6473050886840373792it_nat: ( product_unit > nat ) > product_unit > nat > product_unit > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.47      fun_up6875000483049295805t_unit: ( product_unit > product_unit ) > product_unit > product_unit > product_unit > product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Product____Type__Ounit_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      fun_up1762901246852280360_set_o: ( product_unit > set_o ) > product_unit > set_o > product_unit > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Product____Type__Ounit_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      fun_up4569834200710200790et_nat: ( product_unit > set_nat ) > product_unit > set_nat > product_unit > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Ofun__upd_001t__Product____Type__Ounit_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.47      fun_up488859312337516701t_unit: ( product_unit > set_Product_unit ) > product_unit > set_Product_unit > product_unit > set_Product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.47      id_nat_o: ( nat > $o ) > nat > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      id_nat_nat: ( nat > nat ) > nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.47      id_Pro496765588584934260nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001_Eo,type,
% 3.29/3.47      id_o: $o > $o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Code____Numeral__Ointeger,type,
% 3.29/3.47      id_Code_integer: code_integer > code_integer ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Int__Oint,type,
% 3.29/3.47      id_int: int > int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.47      id_list_nat: list_nat > list_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Nat__Onat,type,
% 3.29/3.47      id_nat: nat > nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Num__Onum,type,
% 3.29/3.47      id_num: num > num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.47      id_Pro2309048762231606924nteger: produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.47      id_Pro4381231610383771306nt_int: product_prod_int_int > product_prod_int_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.47      id_Pro7559728917991913458at_nat: product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.47      id_Pro8267972854940751164at_num: product_prod_nat_num > product_prod_nat_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.47      id_Pro8722402698821300696at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.47      id_Pro6043886709289754456at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Product____Type__Ounit,type,
% 3.29/3.47      id_Product_unit: product_unit > product_unit ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Rat__Orat,type,
% 3.29/3.47      id_rat: rat > rat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.47      id_set_o: set_o > set_o ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.47      id_set_int: set_int > set_int ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.47      id_set_nat: set_nat > set_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Set__Oset_It__Num__Onum_J,type,
% 3.29/3.47      id_set_num: set_num > set_num ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.47      id_set2334057505560298834at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.47      id_set7849613212452405432at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.47  
% 3.29/3.47  thf(sy_c_Fun_Oid_001t__String__Ochar,type,
% 3.29/3.47      id_char: char > char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_M_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.48      inj_on5500977043710295017nteger: ( ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Co4375521073081744395nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      inj_on3998011822705705585nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Co726186806682698383nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on856898432580761861nt_nat: ( ( int > int ) > int > nat ) > set_int_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Int__Oint_Mt__Int__Oint_J_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      inj_on7039184780174133295nt_int: ( ( int > int ) > set_Pr958786334691620121nt_int ) > set_int_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.48      inj_on5377432224680912883nt_num: ( ( int > nat ) > int > num ) > set_int_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.48      inj_on_nat_o_nat_o: ( ( nat > $o ) > nat > $o ) > set_nat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on2461717442902640625at_nat: ( ( nat > nat ) > nat > nat ) > set_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      inj_on3412903767820855855at_nat: ( ( nat > nat ) > set_Pr1261947904930325089at_nat ) > set_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_Eo_001_Eo,type,
% 3.29/3.48      inj_on_o_o: ( $o > $o ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      inj_on_o_int: ( $o > int ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      inj_on_o_nat: ( $o > nat ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      inj_on4268752236855399398t_unit: ( $o > product_unit ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_Eo_001t__Rat__Orat,type,
% 3.29/3.48      inj_on_o_rat: ( $o > rat ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001_Eo_001t__String__Ochar,type,
% 3.29/3.48      inj_on_o_char: ( $o > char ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      inj_on108595395805848489nteger: ( code_integer > code_integer > code_integer ) > set_Code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      inj_on7031512951821619701nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      inj_on1158064722259180589nteger: ( code_integer > code_integer ) > set_Code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      inj_on_int_o: ( int > $o ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      inj_on_int_int: ( int > int ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      inj_on_int_nat: ( int > nat ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      inj_on_int_num: ( int > num ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      inj_on5397397550511676250nt_int: ( int > product_prod_int_int ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on8575894858119818402at_nat: ( int > product_prod_nat_nat ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.48      inj_on4178023183795006766t_unit: ( int > product_unit ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.48      inj_on3049792774292151987st_nat: ( list_nat > list_nat ) > set_list_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__List__Olist_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on7574789179980466158at_nat: ( list_nat > product_prod_nat_nat ) > set_list_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      inj_on_nat_o: ( nat > $o ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      inj_on_nat_int: ( nat > int ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      inj_on_nat_num: ( nat > num ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on5538052773655684606at_nat: ( nat > product_prod_nat_nat ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      inj_on6246296710604522312at_num: ( nat > product_prod_nat_num ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      inj_on7061601236592826506t_unit: ( nat > product_unit ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      inj_on_nat_rat: ( nat > rat ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      inj_on_nat_char: ( nat > char ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      inj_on_num_o: ( num > $o ) > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.48      inj_on_num_int: ( num > int ) > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      inj_on_num_nat: ( num > nat ) > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      inj_on20428373856169009nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Pr4811707699266497531nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      inj_on6454360653267994289nt_int: ( product_prod_int_int > product_prod_int_int ) > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      inj_on2178005380612969504at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on8969904277767023793at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      inj_on2339680571444523825at_num: ( product_prod_num_nat > product_prod_nat_num ) > set_Pr3280342998896498603um_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_Eo,type,
% 3.29/3.48      inj_on991952103320416098_nat_o: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat,type,
% 3.29/3.48      inj_on490725545064285830at_nat: ( produc859450856879609959at_nat > nat ) > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on229527429751349963at_nat: ( produc859450856879609959at_nat > product_prod_nat_nat ) > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      inj_on1041401102088758999t_unit: ( produc859450856879609959at_nat > product_unit ) > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      inj_on8430303779476321073at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      inj_on3108384905993948887t_unit: ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      inj_on3942866938762682161at_nat: ( produc1319942482725812455at_nat > produc1319942482725812455at_nat ) > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      inj_on8854722734121536060unit_o: ( product_unit > $o ) > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Ounit_001t__Int__Oint,type,
% 3.29/3.48      inj_on8427948621271784584it_int: ( product_unit > int ) > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      inj_on8430439091780834860it_nat: ( product_unit > nat ) > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      inj_on8151373323710067377t_unit: ( product_unit > product_unit ) > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Ounit_001t__Rat__Orat,type,
% 3.29/3.48      inj_on7795309031694339124it_rat: ( product_unit > rat ) > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Product____Type__Ounit_001t__String__Ochar,type,
% 3.29/3.48      inj_on1959294024837303853t_char: ( product_unit > char ) > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Rat__Orat_001_Eo,type,
% 3.29/3.48      inj_on_rat_o: ( rat > $o ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      inj_on_rat_int: ( rat > int ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      inj_on_rat_nat: ( rat > nat ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Rat__Orat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on8867882244352206326at_nat: ( rat > product_prod_nat_nat ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      inj_on_rat_rat: ( rat > rat ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      inj_on6435365835345961783et_int: ( set_int > set_int ) > set_set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      inj_on1389844818000382683et_nat: ( set_int > set_nat ) > set_set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      inj_on426556184350386907et_int: ( set_nat > set_int ) > set_set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      inj_on4604407203859583615et_nat: ( set_nat > set_nat ) > set_set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      inj_on1096178645466186887et_rat: ( set_nat > set_rat ) > set_set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      inj_on699426629415580343at_nat: ( set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ) > set_se7855581050983116737at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      inj_on1468925692805905105at_nat: ( set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ) > set_se5479201105039950375at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__String__Ochar_001_Eo,type,
% 3.29/3.48      inj_on_char_o: ( char > $o ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      inj_on_char_int: ( char > int ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      inj_on_char_nat: ( char > nat ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__String__Ochar_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      inj_on1021528964648911549at_nat: ( char > product_prod_nat_nat ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Oinj__on_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      inj_on_char_char: ( char > char ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Omap__fun_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      map_fu1227494855608507351um_num: ( code_integer > int ) > ( num > num ) > ( int > num ) > code_integer > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.48      map_fu434086159418415080_int_o: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      map_fu4960017516451851995nt_int: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo_001_Eo,type,
% 3.29/3.48      map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Omap__fun_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      map_fu3667384564859982768at_int: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001_Eo_001_Eo,type,
% 3.29/3.48      the_inv_into_o_o: set_o > ( $o > $o ) > $o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      the_inv_into_o_int: set_o > ( $o > int ) > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      the_inv_into_o_nat: set_o > ( $o > nat ) > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001_Eo_001t__Rat__Orat,type,
% 3.29/3.48      the_inv_into_o_rat: set_o > ( $o > rat ) > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001_Eo_001t__String__Ochar,type,
% 3.29/3.48      the_inv_into_o_char: set_o > ( $o > char ) > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      the_inv_into_int_o: set_int > ( int > $o ) > $o > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      the_inv_into_int_int: set_int > ( int > int ) > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      the_inv_into_int_nat: set_int > ( int > nat ) > nat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      the_inv_into_int_num: set_int > ( int > num ) > num > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.48      the_inv_into_int_rat: set_int > ( int > rat ) > rat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      the_inv_into_nat_o: set_nat > ( nat > $o ) > $o > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      the_inv_into_nat_int: set_nat > ( nat > int ) > int > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      the_inv_into_nat_num: set_nat > ( nat > num ) > num > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      the_inv_into_nat_rat: set_nat > ( nat > rat ) > rat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      the_in9023905271258939222t_char: set_nat > ( nat > char ) > char > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      the_inv_into_num_o: set_num > ( num > $o ) > $o > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.48      the_inv_into_num_int: set_num > ( num > int ) > int > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      the_inv_into_num_nat: set_num > ( num > nat ) > nat > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      the_in43325605794470270unit_o: set_Product_unit > ( product_unit > $o ) > $o > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Product____Type__Ounit_001t__Rat__Orat,type,
% 3.29/3.48      the_in3915408195775746418it_rat: set_Product_unit > ( product_unit > rat ) > rat > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Product____Type__Ounit_001t__String__Ochar,type,
% 3.29/3.48      the_in3194898024646563179t_char: set_Product_unit > ( product_unit > char ) > char > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Rat__Orat_001_Eo,type,
% 3.29/3.48      the_inv_into_rat_o: set_rat > ( rat > $o ) > $o > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun_Othe__inv__into_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      the_inv_into_rat_nat: set_rat > ( rat > nat ) > nat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Oin__rel_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      fun_in_rel_int_int: set_Pr958786334691620121nt_int > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Oin__rel_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      fun_in_rel_nat_nat: set_Pr1261947904930325089at_nat > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Oin__rel_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      fun_in_rel_nat_num: set_Pr6200539531224447659at_num > nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Oin__rel_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      fun_in8056734985859589634at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Oin__rel_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      fun_in6812141508599261570at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Ois__measure_001t__Int__Oint,type,
% 3.29/3.48      fun_is_measure_int: ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Omax__strict,type,
% 3.29/3.48      fun_max_strict: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Omax__weak,type,
% 3.29/3.48      fun_max_weak: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Omin__strict,type,
% 3.29/3.48      fun_min_strict: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Omin__weak,type,
% 3.29/3.48      fun_min_weak: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Opair__leq,type,
% 3.29/3.48      fun_pair_leq: set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Opair__less,type,
% 3.29/3.48      fun_pair_less: set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Oreduction__pair_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Fun__Def_Orp__inv__image_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      fun_rp8445993449185644698at_nat: produc1319942482725812455at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_GCD_OGcd__class_OGcd_001t__Int__Oint,type,
% 3.29/3.48      gcd_Gcd_int: set_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_GCD_OGcd__class_OGcd_001t__Nat__Onat,type,
% 3.29/3.48      gcd_Gcd_nat: set_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_GCD_OGcd__class_OLcm_001t__Int__Oint,type,
% 3.29/3.48      gcd_Lcm_int: set_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_GCD_OGcd__class_OLcm_001t__Nat__Onat,type,
% 3.29/3.48      gcd_Lcm_nat: set_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oabs__class_Oabs_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      abs_abs_Code_integer: code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oabs__class_Oabs_001t__Int__Oint,type,
% 3.29/3.48      abs_abs_int: int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oabs__class_Oabs_001t__Rat__Orat,type,
% 3.29/3.48      abs_abs_rat: rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Int__Oint,type,
% 3.29/3.48      minus_minus_int: int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Nat__Onat,type,
% 3.29/3.48      minus_minus_nat: nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Rat__Orat,type,
% 3.29/3.48      minus_minus_rat: rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      minus_minus_set_o: set_o > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      minus_2355218937544613996nteger: set_Code_integer > set_Code_integer > set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      minus_minus_set_int: set_int > set_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      minus_minus_set_nat: set_nat > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J,type,
% 3.29/3.48      minus_7052513330764642158od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      minus_1052850069191792384nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      minus_8321449233255521966at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      minus_8235382265540049710at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      minus_8674369445256047406at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      minus_6452836326544984404t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      minus_minus_set_rat: set_rat > set_rat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      minus_minus_set_char: set_char > set_char > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oone__class_Oone_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      one_one_Code_integer: code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oone__class_Oone_001t__Int__Oint,type,
% 3.29/3.48      one_one_int: int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oone__class_Oone_001t__Nat__Onat,type,
% 3.29/3.48      one_one_nat: nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oplus__class_Oplus_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oplus__class_Oplus_001t__Int__Oint,type,
% 3.29/3.48      plus_plus_int: int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oplus__class_Oplus_001t__Nat__Onat,type,
% 3.29/3.48      plus_plus_nat: nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oplus__class_Oplus_001t__Num__Onum,type,
% 3.29/3.48      plus_plus_num: num > num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Oplus__class_Oplus_001t__Rat__Orat,type,
% 3.29/3.48      plus_plus_rat: rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Osgn__class_Osgn_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      sgn_sgn_Code_integer: code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Osgn__class_Osgn_001t__Int__Oint,type,
% 3.29/3.48      sgn_sgn_int: int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Otimes__class_Otimes_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      times_3573771949741848930nteger: code_integer > code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Otimes__class_Otimes_001t__Int__Oint,type,
% 3.29/3.48      times_times_int: int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Otimes__class_Otimes_001t__Nat__Onat,type,
% 3.29/3.48      times_times_nat: nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Otimes__class_Otimes_001t__Rat__Orat,type,
% 3.29/3.48      times_times_rat: rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ouminus__class_Ouminus_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      uminus1351360451143612070nteger: code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ouminus__class_Ouminus_001t__Int__Oint,type,
% 3.29/3.48      uminus_uminus_int: int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ouminus__class_Ouminus_001t__Product____Type__Ounit,type,
% 3.29/3.48      uminus2952777764628376836t_unit: product_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ouminus__class_Ouminus_001t__Rat__Orat,type,
% 3.29/3.48      uminus_uminus_rat: rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ozero__class_Ozero_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      zero_z3403309356797280102nteger: code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ozero__class_Ozero_001t__Int__Oint,type,
% 3.29/3.48      zero_zero_int: int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Groups_Ozero__class_Ozero_001t__Nat__Onat,type,
% 3.29/3.48      zero_zero_nat: nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      the_Pr5012129486825234846t_unit: ( produc7812382424243267045t_unit > $o ) > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      the_Pr7557018466319803784at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      the_Pr8265262403268641490at_num: ( product_prod_nat_num > $o ) > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      the_Pr4604535484834969198at_nat: ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      the_Pr4877703158196064750at_nat: ( produc1319942482725812455at_nat > $o ) > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_HOL_Odefault__class_Odefault_001t__Product____Type__Ounit,type,
% 3.29/3.48      defaul566961228789861419t_unit: product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap_Oheap_Olim_001t__Product____Type__Ounit,type,
% 3.29/3.48      lim_Product_unit: heap_e7401611519738050253t_unit > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Obind_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_b146640354529102224_ref_a: heap_Heap_ref_a > ( ref_a > heap_Heap_ref_a ) > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oeffect_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_effect_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ref_a > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oeffect_001t__Product____Type__Ounit,type,
% 3.29/3.48      heap_e2830298082929533060t_unit: heap_H6156071679106078628t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oeffect_001tf__a,type,
% 3.29/3.48      heap_effect_a: heap_Heap_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > a > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oguard_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_guard_ref_a: ( heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ) > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oheap_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_heap_ref_a: ( heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ) > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oraise_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_raise_ref_a: literal > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Oreturn_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_return_ref_a: ref_a > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Osuccess_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_success_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Otap_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      heap_tap_ref_a: ( heap_e7401611519738050253t_unit > ref_a ) > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Heap__Monad_Otap_001tf__a,type,
% 3.29/3.48      heap_tap_a: ( heap_e7401611519738050253t_unit > a ) > heap_Heap_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      if_Code_integer: $o > code_integer > code_integer > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Heap____Monad__OHeap_It__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.48      if_Heap_Heap_ref_a: $o > heap_Heap_ref_a > heap_Heap_ref_a > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Int__Oint,type,
% 3.29/3.48      if_int: $o > int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Nat__Onat,type,
% 3.29/3.48      if_nat: $o > nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Num__Onum,type,
% 3.29/3.48      if_num: $o > num > num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J,type,
% 3.29/3.48      if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Predicate__Opred_It__Product____Type__Ounit_J_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J,type,
% 3.29/3.48      if_Pro3444522238938527101atural: $o > produc4675096598859438275atural > produc4675096598859438275atural > produc4675096598859438275atural ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      if_Pro4507677147265585453at_nat: $o > produc859450856879609959at_nat > produc859450856879609959at_nat > produc859450856879609959at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      if_Pro3594990065127090477at_nat: $o > produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Product____Type__Ounit,type,
% 3.29/3.48      if_Product_unit: $o > product_unit > product_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Rat__Orat,type,
% 3.29/3.48      if_rat: $o > rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      if_set_o: $o > set_o > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      if_set_nat: $o > set_nat > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      if_set1508868558775481357at_nat: $o > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      if_set3208018901896979469at_nat: $o > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_If_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      if_set_Product_unit: $o > set_Product_unit > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_OAbs__Integ,type,
% 3.29/3.48      abs_Integ: product_prod_nat_nat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_ORep__Integ,type,
% 3.29/3.48      rep_Integ: int > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_Ocr__int,type,
% 3.29/3.48      cr_int: product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_Oint__ge__less__than,type,
% 3.29/3.48      int_ge_less_than: int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_Oint__ge__less__than2,type,
% 3.29/3.48      int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_Ointrel,type,
% 3.29/3.48      intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_Onat,type,
% 3.29/3.48      nat2: int > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Int_Opcr__int,type,
% 3.29/3.48      pcr_int: product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      inf_inf_int_int_o: ( int > int > $o ) > ( int > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      inf_inf_nat_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      inf_inf_nat_num_o: ( nat > num > $o ) > ( nat > num > $o ) > nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.48      inf_in6124848772414083356_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.48      inf_in6969519006101653788_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Int__Oint,type,
% 3.29/3.48      inf_inf_int: int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Nat__Onat,type,
% 3.29/3.48      inf_inf_nat: nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Product____Type__Ounit,type,
% 3.29/3.48      inf_inf_Product_unit: product_unit > product_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Rat__Orat,type,
% 3.29/3.48      inf_inf_rat: rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      inf_inf_set_o: set_o > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      inf_in1364745209274528805nteger: set_Code_integer > set_Code_integer > set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      inf_inf_set_int: set_int > set_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J,type,
% 3.29/3.48      inf_inf_set_list_nat: set_list_nat > set_list_nat > set_list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      inf_inf_set_nat: set_nat > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      inf_in2269163501485487111nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      inf_in7510916698018314649at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      inf_in4302113700860409141at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      inf_in7913087082777306421at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      inf_in2456762090751560885at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      inf_in4660618365625256667t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      inf_inf_set_rat: set_rat > set_rat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      inf_inf_set_char: set_char > set_char > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Int__Oint_M_062_It__Code____Numeral__Ointeger_M_Eo_J_J,type,
% 3.29/3.48      sup_su1544571744061072657eger_o: ( int > code_integer > $o ) > ( int > code_integer > $o ) > int > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      sup_sup_int_int_o: ( int > int > $o ) > ( int > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      sup_sup_nat_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      sup_sup_nat_num_o: ( nat > num > $o ) > ( nat > num > $o ) > nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      sup_su5231854730092680051_int_o: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J,type,
% 3.29/3.48      sup_su362511073950362882_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.48      sup_su7519161239522478338_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.48      sup_su6164525874564267778_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Int__Oint,type,
% 3.29/3.48      sup_sup_int: int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Nat__Onat,type,
% 3.29/3.48      sup_sup_nat: nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Product____Type__Ounit,type,
% 3.29/3.48      sup_sup_Product_unit: product_unit > product_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Rat__Orat,type,
% 3.29/3.48      sup_sup_rat: rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      sup_sup_set_o: set_o > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      sup_sup_set_int: set_int > set_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      sup_sup_set_nat: set_nat > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J,type,
% 3.29/3.48      sup_su5769328420594410459od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      sup_su8679140417860611193_o_nat: set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      sup_su4058753791541417424t_unit: set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      sup_su6024340866399070445nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      sup_su503371503184139039_nat_o: set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      sup_su2042722026077122175at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      sup_su4209953369189666580t_unit: set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      sup_su718114333110466843at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J_J,type,
% 3.29/3.48      sup_su2851927382625014182unit_o: set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      sup_su1639320892072265582it_nat: set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      sup_su6481247232241170203t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      sup_su5395584912770621083at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      sup_su793286257634532545t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      sup_sup_set_rat: set_rat > set_rat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_I_Eo_J_J,type,
% 3.29/3.48      sup_sup_set_set_o: set_set_o > set_set_o > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.48      sup_sup_set_set_nat: set_set_nat > set_set_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      sup_su3642409539654194069at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      sup_su474284620922681339at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Set__Oset_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      sup_su5975557051335651745t_unit: set_set_Product_unit > set_set_Product_unit > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lattices__Big_Olinorder__class_OMax_001t__Nat__Onat,type,
% 3.29/3.48      lattic8265883725875713057ax_nat: set_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      quotie9062115205763428814nteger: ( ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > code_integer ) > ( code_integer > code_integer > code_integer ) > ( ( code_integer > code_integer ) > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      quotie8207154290130328982nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > code_integer ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      quotie8803226531959296410nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001_Eo_001_Eo,type,
% 3.29/3.48      quotient_o_o: ( $o > $o > $o ) > ( $o > $o ) > ( $o > $o ) > ( $o > $o > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      quotient_o_nat: ( $o > $o > $o ) > ( $o > nat ) > ( nat > $o ) > ( $o > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      quotie2291698863146621601nteger: ( int > int > $o ) > ( int > code_integer ) > ( code_integer > int ) > ( int > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      quotient_int_int: ( int > int > $o ) > ( int > int ) > ( int > int ) > ( int > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      quotient_int_nat: ( int > int > $o ) > ( int > nat ) > ( nat > int ) > ( int > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      quotient_int_num: ( int > int > $o ) > ( int > num ) > ( num > int ) > ( int > num > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      quotient_nat_o: ( nat > nat > $o ) > ( nat > $o ) > ( $o > nat ) > ( nat > $o > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      quotient_nat_int: ( nat > nat > $o ) > ( nat > int ) > ( int > nat ) > ( nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      quotient_nat_nat: ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > ( nat > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      quotient_nat_num: ( nat > nat > $o ) > ( nat > num ) > ( num > nat ) > ( nat > num > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      quotient_nat_rat: ( nat > nat > $o ) > ( nat > rat ) > ( rat > nat ) > ( nat > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      quotient_nat_char: ( nat > nat > $o ) > ( nat > char ) > ( char > nat ) > ( nat > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.48      quotient_num_int: ( num > num > $o ) > ( num > int ) > ( int > num ) > ( num > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      quotient_num_nat: ( num > num > $o ) > ( num > nat ) > ( nat > num ) > ( num > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      quotie1194848508323700631at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      quotie4166942682936818134at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      quotient_rat_int: ( rat > rat > $o ) > ( rat > int ) > ( int > rat ) > ( rat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      quotient_rat_nat: ( rat > rat > $o ) > ( rat > nat ) > ( nat > rat ) > ( rat > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      quotient_rat_rat: ( rat > rat > $o ) > ( rat > rat ) > ( rat > rat ) > ( rat > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      quotient_rat_char: ( rat > rat > $o ) > ( rat > char ) > ( char > rat ) > ( rat > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      quotient_char_int: ( char > char > $o ) > ( char > int ) > ( int > char ) > ( char > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      quotient_char_nat: ( char > char > $o ) > ( char > nat ) > ( nat > char ) > ( char > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      quotient_char_rat: ( char > char > $o ) > ( char > rat ) > ( rat > char ) > ( char > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Lifting_OQuotient_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      quotient_char_char: ( char > char > $o ) > ( char > char ) > ( char > char ) > ( char > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_List_Oall__interval__nat,type,
% 3.29/3.48      all_interval_nat: ( nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_List_Olist_OCons_001t__Nat__Onat,type,
% 3.29/3.48      cons_nat: nat > list_nat > list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_List_Olist_ONil_001t__Nat__Onat,type,
% 3.29/3.48      nil_nat: list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_List_Olist__ex_001t__Nat__Onat,type,
% 3.29/3.48      list_ex_nat: ( nat > $o ) > list_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_List_Oupt,type,
% 3.29/3.48      upt: nat > nat > list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat_OSuc,type,
% 3.29/3.48      suc: nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat_Onat_Ocase__nat_001t__Option__Ooption_It__Num__Onum_J,type,
% 3.29/3.48      case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat_Osemiring__1__class_ONats_001t__Int__Oint,type,
% 3.29/3.48      semiring_1_Nats_int: set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat_Osemiring__1__class_Oof__nat_001t__Int__Oint,type,
% 3.29/3.48      semiri1314217659103216013at_int: nat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Oint__decode,type,
% 3.29/3.48      nat_int_decode: nat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Oint__encode,type,
% 3.29/3.48      nat_int_encode: int > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Olist__decode,type,
% 3.29/3.48      nat_list_decode: nat > list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Olist__decode__rel,type,
% 3.29/3.48      nat_list_decode_rel: nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Olist__encode,type,
% 3.29/3.48      nat_list_encode: list_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Oprod__decode,type,
% 3.29/3.48      nat_prod_decode: nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Oprod__encode,type,
% 3.29/3.48      nat_prod_encode: product_prod_nat_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Osum__decode,type,
% 3.29/3.48      nat_sum_decode: nat > sum_sum_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Osum__encode,type,
% 3.29/3.48      nat_sum_encode: sum_sum_nat_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Nat__Bijection_Otriangle,type,
% 3.29/3.48      nat_triangle: nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onum_OBit0,type,
% 3.29/3.48      bit0: num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onum_OBit1,type,
% 3.29/3.48      bit1: num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onum_OOne,type,
% 3.29/3.48      one: num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onum_Ocase__num_001t__Option__Ooption_It__Num__Onum_J,type,
% 3.29/3.48      case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onum__of__nat,type,
% 3.29/3.48      num_of_nat: nat > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onumeral__class_Onumeral_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      numera6620942414471956472nteger: num > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onumeral__class_Onumeral_001t__Int__Oint,type,
% 3.29/3.48      numeral_numeral_int: num > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Num_Onumeral__class_Onumeral_001t__Nat__Onat,type,
% 3.29/3.48      numeral_numeral_nat: num > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Option_Ooption_ONone_001t__Num__Onum,type,
% 3.29/3.48      none_num: option_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Option_Ooption_OSome_001t__Num__Onum,type,
% 3.29/3.48      some_num: num > option_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Option_Ooption_Ocase__option_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      case_option_num_num: num > ( num > num ) > option_num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Num__Onum_J_001t__Num__Onum,type,
% 3.29/3.48      case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OaboveS_001t__Int__Oint,type,
% 3.29/3.48      order_aboveS_int: set_Pr958786334691620121nt_int > int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OaboveS_001t__Nat__Onat,type,
% 3.29/3.48      order_aboveS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OaboveS_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      order_1761765819289301284nt_int: set_Pr2560585780119916871nt_int > product_prod_int_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OaboveS_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      order_4940263126897443436at_nat: set_Pr8693737435421807431at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OaboveS_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      order_4440095836999870412at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OaboveS_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      order_2442354982230848562at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001_Eo,type,
% 3.29/3.48      order_6238756238976269133r_on_o: set_o > set_Product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Int__Oint,type,
% 3.29/3.48      order_4471489696718655927on_int: set_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Nat__Onat,type,
% 3.29/3.48      order_4473980167227706203on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      order_7480980593162297270at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      order_2711500226769404828at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_888282469287196226t_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      order_5942792088423767318at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Olinear__order__on_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      order_1878278401035043452at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Orelation__of_001t__Int__Oint,type,
% 3.29/3.48      order_1960202971199294558of_int: ( int > int > $o ) > set_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Orelation__of_001t__Nat__Onat,type,
% 3.29/3.48      order_1962693441708344834of_nat: ( nat > nat > $o ) > set_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Orelation__of_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      order_8809246210994205103at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Orelation__of_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      order_8308734813930759573at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_OunderS_001t__Nat__Onat,type,
% 3.29/3.48      order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001_Eo,type,
% 3.29/3.48      order_2615775362358406454r_on_o: set_o > set_Product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Int__Oint,type,
% 3.29/3.48      order_2886507596567047182on_int: set_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Nat__Onat,type,
% 3.29/3.48      order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      order_8331247224601271455at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      order_2339240034117818117at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_3164716736300062379t_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      order_1968183844437341695at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Order__Relation_Owell__order__on_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      order_423636163458052581at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Code____Numeral__Ointeger_M_Eo_J_J,type,
% 3.29/3.48      bot_bo341146761387662761eger_o: int > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      bot_bot_int_int_o: int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      bot_bot_nat_nat_o: nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      bot_bot_nat_num_o: nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      bot_bo5438875203632553179_int_o: product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J,type,
% 3.29/3.48      bot_bo4898103413517107610_nat_o: product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.48      bot_bo394778441745866138_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.48      bot_bo3364206721330744218_nat_o: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Predicate__Opred_It__Product____Type__Ounit_J,type,
% 3.29/3.48      bot_bo2717538794563056311t_unit: pred_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Product____Type__Ounit,type,
% 3.29/3.48      bot_bot_Product_unit: product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      bot_bot_set_o: set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      bot_bo3686245532977126937t_unit: set_he8644174446132254637t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.48      bot_bot_set_ref_a: set_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      bot_bot_set_int: set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      bot_bot_set_nat: set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Num__Onum_J,type,
% 3.29/3.48      bot_bot_set_num: set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J,type,
% 3.29/3.48      bot_bo7073875226086086771od_o_o: set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      bot_bo66526543525301729_o_nat: set_Pr2101469702781467981_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      bot_bo4402188677660116584t_unit: set_Pr6671815714118170108t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      bot_bo1114129665703605383_nat_o: set_Pr3149072824959771635_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      bot_bo5043309098482578556t_unit: set_Pr4334478416066269672t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J_J,type,
% 3.29/3.48      bot_bo3195362268743713342unit_o: set_Pr5464989305201766866unit_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      bot_bo2472676621365177558it_nat: set_Pr1763845938948868674it_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      bot_bo6659885642593197735at_nat: set_Pr3798168094891919931at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      bot_bo1654022762305692595t_unit: set_Pr5094982260447487303t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      bot_bo4948859079157340979at_nat: set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      bot_bo3957492148770167129t_unit: set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      bot_bot_set_rat: set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.48      bot_bot_set_set_nat: set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      bot_bo1534825418459847827at_nat: set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      bot_bot_set_char: set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      ord_le6747313008572928689nteger: code_integer > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless_001t__Int__Oint,type,
% 3.29/3.48      ord_less_int: int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat,type,
% 3.29/3.48      ord_less_nat: nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless_001t__Rat__Orat,type,
% 3.29/3.48      ord_less_rat: rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_062_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le7522433683449569238eger_o: ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Int__Oint_Mt__Num__Onum_J_M_062_I_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le6931201860925936491_num_o: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Int__Oint_Mt__Num__Onum_J_M_062_I_062_It__Int__Oint_Mt__Num__Onum_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le4541714130423454556_num_o: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_I_062_It__Code____Numeral__Ointeger_Mt__Int__Oint_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le8615040745438789472_int_o: ( ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ) > ( ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le2932013042137311317nt_o_o: ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_M_062_I_062_It__Int__Oint_Mt__Code____Numeral__Ointeger_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le6141271677531915726eger_o: ( ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ) > ( ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_M_062_I_062_It__Int__Oint_Mt__Nat__Onat_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le1714508135640884727_nat_o: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_I_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_I_062_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le2484784447047653514_int_o: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_M_Eo_J_J,type,
% 3.29/3.48      ord_le3602516367967493612eger_o: ( code_integer > code_integer > $o ) > ( code_integer > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Code____Numeral__Ointeger_M_Eo_J_J,type,
% 3.29/3.48      ord_le996066559646421213eger_o: ( int > code_integer > $o ) > ( int > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__Rat__Orat_M_Eo_J_J,type,
% 3.29/3.48      ord_le8236914709048111138_rat_o: ( int > rat > $o ) > ( int > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Int__Oint_M_062_It__String__Ochar_M_Eo_J_J,type,
% 3.29/3.48      ord_le7608100903186094441char_o: ( int > char > $o ) > ( int > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      ord_le3404735783095501756_num_o: ( nat > num > $o ) > ( nat > num > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__Rat__Orat_M_Eo_J_J,type,
% 3.29/3.48      ord_le1897120724991155070_rat_o: ( nat > rat > $o ) > ( nat > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Nat__Onat_M_062_It__String__Ochar_M_Eo_J_J,type,
% 3.29/3.48      ord_le4878496333587278021char_o: ( nat > char > $o ) > ( nat > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Num__Onum_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      ord_le6124364862034508274_num_o: ( num > num > $o ) > ( num > num > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      ord_le129227817499904167_int_o: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le5604493270027003598_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Rat__Orat_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      ord_le3222257882335906850_int_o: ( rat > int > $o ) > ( rat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Rat__Orat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      ord_le5467402850006352766_nat_o: ( rat > nat > $o ) > ( rat > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Rat__Orat_M_062_It__Rat__Orat_M_Eo_J_J,type,
% 3.29/3.48      ord_le4717968354871517046_rat_o: ( rat > rat > $o ) > ( rat > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Rat__Orat_M_062_It__String__Ochar_M_Eo_J_J,type,
% 3.29/3.48      ord_le6546876390139131069char_o: ( rat > char > $o ) > ( rat > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le3935385432712749774_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.48      ord_le3072208448688395470_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__String__Ochar_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      ord_le3396192186225775209_int_o: ( char > int > $o ) > ( char > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__String__Ochar_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      ord_le5641337153896221125_nat_o: ( char > nat > $o ) > ( char > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__String__Ochar_M_062_It__Rat__Orat_M_Eo_J_J,type,
% 3.29/3.48      ord_le4891902658761385405_rat_o: ( char > rat > $o ) > ( char > rat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001_062_It__String__Ochar_M_062_It__String__Ochar_M_Eo_J_J,type,
% 3.29/3.48      ord_le2540245887939449860char_o: ( char > char > $o ) > ( char > char > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      ord_le3102999989581377725nteger: code_integer > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint,type,
% 3.29/3.48      ord_less_eq_int: int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat,type,
% 3.29/3.48      ord_less_eq_nat: nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Product____Type__Ounit,type,
% 3.29/3.48      ord_le3221252021190050221t_unit: product_unit > product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Rat__Orat,type,
% 3.29/3.48      ord_less_eq_rat: rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      ord_le348599935723844335nteger: set_Co726186806682698383nteger > set_Co726186806682698383nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      ord_less_eq_set_o: set_o > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      ord_less_eq_set_int: set_int > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      ord_less_eq_set_nat: set_nat > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Num__Onum_J,type,
% 3.29/3.48      ord_less_eq_set_num: set_num > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J,type,
% 3.29/3.48      ord_le192195778054999463od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      ord_le6472378536984071597_o_nat: set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      ord_le518195775913581980t_unit: set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_J,type,
% 3.29/3.48      ord_le5525191956872776187t_unit: set_Pr1133966238863718811t_unit > set_Pr1133966238863718811t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      ord_le2638047946463454698nteger: set_Pr8415741480598773322nteger > set_Pr8415741480598773322nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      ord_le5333435103577920093nt_nat: set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      ord_le7519981659162375251_nat_o: set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_J,type,
% 3.29/3.48      ord_le656430383953171549at_int: set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      ord_le8085105155179020875at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      ord_le1468274181084648008t_unit: set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      ord_le5989899228261996553at_rat: set_Pr4105333604307423337at_rat > set_Pr4105333604307423337at_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      ord_le5164908622851071819um_nat: set_Pr3280342998896498603um_nat > set_Pr3280342998896498603um_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J,type,
% 3.29/3.48      ord_le880128212290418581um_num: set_Pr8218934625190621173um_num > set_Pr8218934625190621173um_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_J,type,
% 3.29/3.48      ord_le4604737605482584818at_int: set_Pr49084382684228242at_int > set_Pr49084382684228242at_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      ord_le3000389064537975527at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      ord_le3091953645718357095at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J_J,type,
% 3.29/3.48      ord_le8534741403851954546unit_o: set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      ord_le8121013740822022818it_nat: set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      ord_le8681960759543468507at_nat: set_Pr3798168094891919931at_nat > set_Pr3798168094891919931at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_J,type,
% 3.29/3.48      ord_le930853871177014503t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      ord_le5997549366648089703at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      ord_le3507040750410214029t_unit: set_Product_unit > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      ord_less_eq_set_rat: set_rat > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Int__Oint_J_J,type,
% 3.29/3.48      ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 3.29/3.48      ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      ord_le7966958417815640519at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Rat__Orat_J_J,type,
% 3.29/3.48      ord_le513522071413781156et_rat: set_set_rat > set_set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      ord_less_eq_set_char: set_char > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Oantimono_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      order_3677659787690696076nt_int: ( int > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Oantimono_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      order_3680150258199746352nt_nat: ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      order_2678306075789641520at_int: ( nat > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      order_2680796546298691796at_nat: ( nat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Oantimono_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      order_2045666486212196060at_rat: ( nat > rat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      order_mono_o_int: ( $o > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      order_mono_o_nat: ( $o > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_7782127260464396005t_unit: ( $o > product_unit ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      order_mono_int_int: ( int > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      order_mono_int_nat: ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_2843698775922903023t_unit: ( int > product_unit ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      order_mono_nat_int: ( nat > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      order_mono_nat_nat: ( nat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_5727276828720722763t_unit: ( nat > product_unit ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      order_mono_nat_rat: ( nat > rat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Product____Type__Ounit_001t__Int__Oint,type,
% 3.29/3.48      order_7093624213399680841it_int: ( product_unit > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      order_7096114683908731117it_nat: ( product_unit > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_4454465170704313136t_unit: ( product_unit > product_unit ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Product____Type__Ounit_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      order_509894322932672675et_nat: ( product_unit > set_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Set__Oset_It__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      order_7928700340835332885t_unit: ( set_nat > product_unit ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Omono_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      order_1005506198798982270et_nat: ( set_nat > set_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      order_6722886889984875411nt_int: ( int > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      order_6725377360493925687nt_nat: ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.48      order_6090247300407429951nt_rat: ( int > rat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      order_5723533178083820855at_int: ( nat > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      order_5726023648592871131at_nat: ( nat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      order_5090893588506375395at_rat: ( nat > rat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      order_5406978534148954943at_int: ( rat > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      order_5409469004658005219at_nat: ( rat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Oorder__class_Ostrict__mono_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      order_4774338944571509483at_rat: ( rat > rat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      top_top_int_int_o: int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      top_top_nat_nat_o: nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      top_top_nat_num_o: nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.48      top_to8903224817164384382_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.48      top_to1326704617074743934_nat_o: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Product____Type__Ounit,type,
% 3.29/3.48      top_top_Product_unit: product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_J,type,
% 3.29/3.48      top_to3639204395728341691nteger: set_Co4375521073081744395nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      top_to3804862627464599871nteger: set_Co726186806682698383nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      top_top_set_int_int: set_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Int__Oint_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_top_set_int_nat: set_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Int__Oint_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_top_set_int_rat: set_int_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Int__Oint_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_top_set_int_char: set_int_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      top_top_set_nat_o: set_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_top_set_nat_nat: set_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Nat__Onat_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_top_set_nat_rat: set_nat_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Nat__Onat_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_top_set_nat_char: set_nat_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Rat__Orat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_top_set_rat_nat: set_rat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Rat__Orat_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_top_set_rat_rat: set_rat_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Rat__Orat_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_top_set_rat_char: set_rat_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__String__Ochar_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_top_set_char_nat: set_char_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__String__Ochar_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_top_set_char_rat: set_char_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__String__Ochar_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_to8079350907815874599r_char: set_char_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      top_top_set_o: set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      top_to4645266643341252675nteger: set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      top_to3956321331435058429t_unit: set_he8644174446132254637t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.48      top_top_set_ref_a: set_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      top_top_set_int: set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__List__Olist_It__Nat__Onat_J_J,type,
% 3.29/3.48      top_top_set_list_nat: set_list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      top_top_set_nat: set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Num__Onum_J,type,
% 3.29/3.48      top_top_set_num: set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      top_to2363841527343591755nteger: set_Pr4811707699266497531nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_J,type,
% 3.29/3.48      top_to2503719809363509323t_unit: set_Pr1133966238863718811t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      top_to4366644338036079209nt_int: set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      top_to385025497714130939at_num: set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_to7513191607651882425at_rat: set_Pr4105333604307423337at_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_to7107842681480589234t_char: set_Pr2926629348867340898t_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__Int__Oint_J_J,type,
% 3.29/3.48      top_to7002410609688830997at_int: set_Pr3594552606344371909at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_to269121717765781945at_nat: set_Pr6084635751276098665at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_to3112507417142880193at_rat: set_Pr8928021450653196913at_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Rat__Orat_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_to3221206985699244474t_char: set_Pr8263365689940771946t_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      top_to6833984726390702231at_nat: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      top_to5281548843312042519at_nat: set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Int__Oint_J_J,type,
% 3.29/3.48      top_to3104204703268025230ar_int: set_Pr8146363407509552702ar_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_to5594287848199751986ar_nat: set_Pr1413074515586503650ar_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J_J,type,
% 3.29/3.48      top_to8437673547576850234ar_rat: set_Pr4256460214963601898ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J_J,type,
% 3.29/3.48      top_to1235241553633177651r_char: set_Pr3309569728657787619r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      top_to1996260823553986621t_unit: set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      top_top_set_rat: set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      top_top_set_char: set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Predicate_Opred_Oeval_001t__Product____Type__Ounit,type,
% 3.29/3.48      eval_Product_unit: pred_Product_unit > product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Predicate_Osingle_001t__Product____Type__Ounit,type,
% 3.29/3.48      single_Product_unit: product_unit > pred_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001_Eo_001_Eo,type,
% 3.29/3.48      product_Pair_o_o: $o > $o > product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      product_Pair_o_int: $o > int > product_prod_o_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      product_Pair_o_nat: $o > nat > product_prod_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc3901946521647900940t_unit: $o > product_unit > produc3788275437394581276t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001_Eo,type,
% 3.29/3.48      produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc8256076736985659095t_unit: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > produc8126358835630522215t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc2564672488694626579_ref_a: heap_e7401611519738050253t_unit > ref_a > produc1799199577659733785_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc6544324848051098391t_unit: ref_a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc1340070678782110931_ref_a: ref_a > ref_a > produc5288414631154139675_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      product_Pair_int_o: int > $o > product_prod_int_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      product_Pair_int_int: int > int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      product_Pair_int_nat: int > nat > product_prod_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc550872421827702152t_unit: int > product_unit > produc6865911496949736918t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.48      product_Pair_int_rat: int > rat > product_prod_int_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      product_Pair_nat_o: nat > $o > product_prod_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      product_Pair_nat_int: nat > int > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      product_Pair_nat_num: nat > num > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc3434450474625521892t_unit: nat > product_unit > produc526117512892780850t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      product_Pair_nat_rat: nat > rat > product_prod_nat_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      product_Pair_num_nat: num > nat > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      product_Pair_num_num: num > num > product_prod_num_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Predicate__Opred_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J,type,
% 3.29/3.48      produc5069803637994805237atural: pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc3646306378393792727nt_int: product_prod_int_int > product_prod_int_int > produc1219242969750017639nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc4662710985925991255at_nat: produc859450856879609959at_nat > produc859450856879609959at_nat > produc349518998152878311at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      produc8487917018914037602unit_o: product_unit > $o > produc7485711547916492274unit_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      produc4803288329813530246it_nat: product_unit > nat > produc600557818389255820it_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc5692694829384537815t_unit: product_unit > product_unit > produc8459935480633519975t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Product____Type__Ounit_001t__Rat__Orat,type,
% 3.29/3.48      produc4168158269727034510it_rat: product_unit > rat > produc6315701296850634900it_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      product_Pair_rat_int: rat > int > product_prod_rat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      product_Pair_rat_nat: rat > nat > product_prod_rat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      product_Pair_rat_rat: rat > rat > product_prod_rat_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OPair_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001_Eo_001_Eo,type,
% 3.29/3.48      product_Sigma_o_o: set_o > ( $o > set_o ) > set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      product_Sigma_o_int: set_o > ( $o > set_int ) > set_Pr8834758594704517033_o_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      product_Sigma_o_nat: set_o > ( $o > set_nat ) > set_Pr2101469702781467981_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc411009820408249917t_unit: set_o > ( $o > set_Product_unit ) > set_Pr6671815714118170108t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc5882431272649516420nteger: set_Code_integer > ( code_integer > set_Code_integer ) > set_Pr4811707699266497531nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc3946373962484743846t_unit: set_ref_a > ( ref_a > set_he8644174446132254637t_unit ) > set_Pr1133966238863718811t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      product_Sigma_int_o: set_int > ( int > set_o ) > set_Pr903927857289325719_int_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc1453890548195736866nt_int: set_int > ( int > set_int ) > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc1456381018704787142nt_nat: set_int > ( int > set_nat ) > set_Pr3448869479623346877nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc2622961094310184599t_unit: set_int > ( int > set_Product_unit ) > set_Pr5889264611543340172t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.48      produc821250958618291406nt_rat: set_int > ( int > set_rat ) > set_Pr6292255179000445125nt_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      product_Sigma_nat_o: set_nat > ( nat > set_o ) > set_Pr3149072824959771635_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      produc454536836294682310at_int: set_nat > ( nat > set_int ) > set_Pr7995236796853374141at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc6237731129814287028at_num: set_nat > ( nat > set_num ) > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc7854212285064481439nt_int: set_nat > ( nat > set_Pr958786334691620121nt_int ) > set_Pr6123067485828015636nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc1809337555817847783at_nat: set_nat > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr7717912310451564380at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc5506539147108004339t_unit: set_nat > ( nat > set_Product_unit ) > set_Pr4334478416066269672t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      produc9045269283572012658at_rat: set_nat > ( nat > set_rat ) > set_Pr4105333604307423337at_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      produc4754187946284079723t_char: set_nat > ( nat > set_char ) > set_Pr2926629348867340898t_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      produc7810729746965977780um_nat: set_num > ( num > set_nat ) > set_Pr3280342998896498603um_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Nat__Onat,type,
% 3.29/3.48      produc1007865297704999105nt_nat: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_nat ) > set_Pr2543308735921124078nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc245848125267896712nt_int: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_Pr958786334691620121nt_int ) > set_Pr2560585780119916871nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc3424345432876038864at_nat: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_Pr1261947904930325089at_nat ) > set_Pr4155430604743465615at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      produc203973861852599583_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_o ) > set_Pr6558897299634722526_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      produc7672662199629908489at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_nat ) > set_Pr2539167527615954998at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc8806266479013559872nt_int: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_Pr958786334691620121nt_int ) > set_Pr7098892610798258687nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc2761391749766926216at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      produc4441300235185154312at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ) > set_Pr5564308138774400199at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      produc4996980317674386579unit_o: set_Product_unit > ( product_unit > set_o ) > set_Pr5464989305201766866unit_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      produc6875377002296012693it_nat: set_Product_unit > ( product_unit > set_nat ) > set_Pr1763845938948868674it_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Ounit_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc3904733337175673596at_nat: set_Product_unit > ( product_unit > set_Pr1261947904930325089at_nat ) > set_Pr3798168094891919931at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc6121607364029222536t_unit: set_Product_unit > ( product_unit > set_Product_unit ) > set_Pr5094982260447487303t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Ounit_001t__Rat__Orat,type,
% 3.29/3.48      produc6240246942209516957it_rat: set_Product_unit > ( product_unit > set_rat ) > set_Pr4607231638325966922it_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      produc137982192359816398at_int: set_rat > ( rat > set_int ) > set_Pr3594552606344371909at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      produc140472662868866674at_nat: set_rat > ( rat > set_nat ) > set_Pr6084635751276098665at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      produc8728714639637146746at_rat: set_rat > ( rat > set_rat ) > set_Pr8928021450653196913at_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      produc1427039474575272051t_char: set_rat > ( rat > set_char ) > set_Pr8263365689940771946t_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc7726050920695093128at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ) > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc6258361011560675592at_nat: set_se5479201105039950375at_nat > ( set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ) > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      produc1836876251250453959ar_int: set_char > ( char > set_int ) > set_Pr8146363407509552702ar_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      produc1839366721759504235ar_nat: set_char > ( char > set_nat ) > set_Pr1413074515586503650ar_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      produc1204236661673008499ar_rat: set_char > ( char > set_rat ) > set_Pr4256460214963601898ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OSigma_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      produc2936396906406871148r_char: set_char > ( char > set_char ) > set_Pr3309569728657787619r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_OUnity,type,
% 3.29/3.48      product_Unity: product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc3195571438000033749nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc4508741384315284437t_unit: ( ref_a > ref_a ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Int__Oint_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc5845103964736263686t_unit: ( ref_a > int ) > produc7812382424243267045t_unit > produc3969062480670737046t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc6143945040009431475nt_int: ( ref_a > int ) > produc8483956148555600810_a_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Nat__Onat_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc6942186945380262242t_unit: ( ref_a > nat ) > produc7812382424243267045t_unit > produc5066145461314735602t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc5147081798617427195at_nat: ( ref_a > nat ) > produc3438435131210021710_a_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc1704413584773205829at_num: ( ref_a > nat ) > produc4146679068158859416_a_num > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc5323809043756447493t_unit: ( ref_a > set_Pr1261947904930325089at_nat ) > produc7812382424243267045t_unit > produc3629471303718939987t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc4016808307611786905at_nat: ( ref_a > set_Pr1261947904930325089at_nat ) > produc5561445381605014009at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc5988837738927868575t_unit: ( ref_a > set_Pr4329608150637261639at_nat ) > produc7812382424243267045t_unit > produc2296667697112141421t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Heap__Oref_Itf__a_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc2316621926130398489at_nat: ( ref_a > set_Pr4329608150637261639at_nat ) > produc4041253808165279839at_nat > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc2355237562570658114nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc986720760941809198at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc6767424583952363640at_num: ( nat > nat ) > product_prod_nat_num > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc5380969780118646373at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapfst_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc6529295065807390923at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc3038839249364385243_ref_a: ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Int__Oint_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc3558794870892339738_ref_a: ( heap_e7401611519738050253t_unit > int ) > produc7812382424243267045t_unit > produc8483956148555600810_a_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc6768910348387636265nt_int: ( heap_e7401611519738050253t_unit > int ) > produc3969062480670737046t_unit > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Nat__Onat_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc8366372614399963582_ref_a: ( heap_e7401611519738050253t_unit > nat ) > produc7812382424243267045t_unit > produc3438435131210021710_a_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc5772047106995631985at_nat: ( heap_e7401611519738050253t_unit > nat ) > produc5066145461314735602t_unit > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Num__Onum_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc7633249859560231688_ref_a: ( heap_e7401611519738050253t_unit > num ) > produc7812382424243267045t_unit > produc4146679068158859416_a_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      produc3902377510303101371um_nat: ( heap_e7401611519738050253t_unit > num ) > produc5066145461314735602t_unit > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc2928627021203296111_ref_a: ( heap_e7401611519738050253t_unit > set_Pr1261947904930325089at_nat ) > produc7812382424243267045t_unit > produc5561445381605014009at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc8705118745468743695at_nat: ( heap_e7401611519738050253t_unit > set_Pr1261947904930325089at_nat ) > produc3629471303718939987t_unit > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc5080965012319039829_ref_a: ( heap_e7401611519738050253t_unit > set_Pr4329608150637261639at_nat ) > produc7812382424243267045t_unit > produc4041253808165279839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc5990651871820846223at_nat: ( heap_e7401611519738050253t_unit > set_Pr4329608150637261639at_nat ) > produc2296667697112141421t_unit > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc4463282112584876420nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc3094765310956027504at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      produc1225095714263496890um_nat: ( nat > num ) > product_prod_nat_nat > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc1035573138926686394at_nat: ( num > nat ) > product_prod_nat_num > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Num__Onum_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      produc8389275579088931588um_nat: ( num > num ) > product_prod_nat_num > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc6468969725218530979at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oapsnd_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc8057050257526108681at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Int__Oint_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      produc175634133007206835_int_o: ( product_prod_int_int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc1016772743285680337nt_int: ( product_prod_int_int > int ) > int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc8249235968001453780nt_int: ( product_prod_int_int > product_prod_int_int ) > int > int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.48      produc3704529784387675049_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat > nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc3610074571335452306at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat > nat > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc1310100445399344235_nat_o: ( product_prod_nat_nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Nat__Onat_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      produc156083480235303841_num_o: ( product_prod_nat_num > $o ) > nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_Eo,type,
% 3.29/3.48      produc7820828192191229133_nat_o: ( produc3843707927480180839at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ocurry_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001_Eo,type,
% 3.29/3.48      produc447603880154497357_nat_o: ( produc1319942482725812455at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ointernal__case__prod_001t__Int__Oint_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      produc8005341501107743676_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ointernal__case__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc7926200574084438792nt_int: ( int > int > int ) > product_prod_int_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ointernal__case__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc297006045350968285nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ointernal__case__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.48      produc4780622933104268256_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ointernal__case__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc1854806715440696265at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      produc4724772261320961782nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc723880050079548563nteger > produc101387210554329899nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.48      produc1928436952130685430_o_o_o: ( $o > $o ) > ( $o > $o ) > product_prod_o_o > product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001_Eo_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc8070579729948654068nt_nat: ( $o > $o ) > ( int > nat ) > product_prod_o_int > product_prod_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc7071226018047599512at_nat: ( $o > $o ) > ( nat > nat ) > product_prod_o_nat > product_prod_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001_Eo_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc3628557804203378146at_num: ( $o > $o ) > ( nat > num ) > product_prod_o_nat > product_prod_o_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001t__Nat__Onat_001_Eo_001_Eo,type,
% 3.29/3.48      produc9141321880750005618at_o_o: ( $o > nat ) > ( $o > $o ) > product_prod_o_o > product_prod_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc6587185857518356756at_nat: ( $o > nat ) > ( nat > nat ) > product_prod_o_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001_Eo_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc4527993685489015646at_nat: ( $o > num ) > ( nat > nat ) > product_prod_o_nat > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc1802105962441033582nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc3456481717235892722t_unit: ( ref_a > ref_a ) > ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc6036585564866528938nt_int: ( int > int ) > ( int > int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc5039722323474524658at_nat: ( int > int ) > ( nat > nat ) > product_prod_int_nat > product_prod_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      produc4404592263388028922at_rat: ( int > int ) > ( nat > rat ) > product_prod_int_nat > product_prod_int_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc5664932004629684302nt_int: ( int > nat ) > ( int > int ) > product_prod_int_int > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc5667422475138734578nt_nat: ( int > nat ) > ( int > nat ) > product_prod_int_int > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      produc2224754261294513212nt_num: ( int > nat ) > ( int > num ) > product_prod_int_int > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc8298419091753553490_nat_o: ( int > nat ) > ( nat > $o ) > product_prod_int_nat > product_prod_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      produc4665578292728629746at_int: ( int > nat ) > ( nat > int ) > product_prod_int_nat > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc4668068763237680022at_nat: ( int > nat ) > ( nat > nat ) > product_prod_int_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc1225400549393458656at_num: ( int > nat ) > ( nat > num ) > product_prod_int_nat > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      produc4032938703151184286at_rat: ( int > nat ) > ( nat > rat ) > product_prod_int_nat > product_prod_nat_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Num__Onum_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc3608230303109393468nt_nat: ( int > num ) > ( int > nat ) > product_prod_int_int > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Num__Onum_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      produc165562089265172102nt_num: ( int > num ) > ( int > num ) > product_prod_int_int > product_prod_num_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc9074608839065728392_nat_o: ( int > num ) > ( nat > $o ) > product_prod_int_nat > product_prod_num_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Int__Oint_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc2608876591208338912at_nat: ( int > num ) > ( nat > nat ) > product_prod_int_nat > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001_Eo_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc8248099538878400170nt_int: ( nat > $o ) > ( int > int ) > product_prod_nat_int > product_prod_o_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001_Eo_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc8250590009387450446nt_nat: ( nat > $o ) > ( int > nat ) > product_prod_nat_int > product_prod_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001_Eo_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      produc4807921795543229080nt_num: ( nat > $o ) > ( int > num ) > product_prod_nat_int > product_prod_o_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001_Eo_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc6957950696844810486_nat_o: ( nat > $o ) > ( nat > $o ) > product_prod_nat_nat > product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc7251236297486395890at_nat: ( nat > $o ) > ( nat > nat ) > product_prod_nat_nat > product_prod_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc8346403496959479886nt_int: ( nat > int ) > ( int > int ) > product_prod_nat_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc8348893967468530162nt_nat: ( nat > int ) > ( int > nat ) > product_prod_nat_int > product_prod_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      produc7347049785058425330at_int: ( nat > int ) > ( nat > int ) > product_prod_nat_nat > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Int__Oint_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.48      produc5477380188365894716um_int: ( nat > int ) > ( num > int ) > product_prod_nat_num > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo,type,
% 3.29/3.48      produc2001155298098703512at_o_o: ( nat > nat ) > ( $o > $o ) > product_prod_nat_o > product_prod_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc7974749936722635250nt_int: ( nat > nat ) > ( int > int ) > product_prod_nat_int > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc7977240407231685526nt_nat: ( nat > nat ) > ( int > nat ) > product_prod_nat_int > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      produc4534572193387464160nt_num: ( nat > nat ) > ( int > num ) > product_prod_nat_int > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc4787215299218314158_nat_o: ( nat > nat ) > ( nat > $o ) > product_prod_nat_nat > product_prod_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc6977886695330630970at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc3535218481486409604at_num: ( nat > nat ) > ( nat > num ) > product_prod_nat_nat > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      produc5108217098638100356um_nat: ( nat > nat ) > ( num > nat ) > product_prod_nat_num > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      produc1665548884793878990um_num: ( nat > nat ) > ( num > num ) > product_prod_nat_num > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo_001_Eo,type,
% 3.29/3.48      produc3264868786340801506um_o_o: ( nat > num ) > ( $o > $o ) > product_prod_nat_o > product_prod_num_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Num__Onum_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc5918048235202344416nt_nat: ( nat > num ) > ( int > nat ) > product_prod_nat_int > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc4918694523301289860at_nat: ( nat > num ) > ( nat > nat ) > product_prod_nat_nat > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      produc1476026309457068494at_num: ( nat > num ) > ( nat > num ) > product_prod_nat_nat > product_prod_num_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Rat__Orat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc8746822746284154874nt_int: ( nat > rat ) > ( int > int ) > product_prod_nat_int > product_prod_rat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Rat__Orat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc8749313216793205150nt_nat: ( nat > rat ) > ( int > nat ) > product_prod_nat_int > product_prod_rat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Num__Onum_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc170006858110003436at_nat: ( nat > set_Pr1261947904930325089at_nat ) > ( num > set_Pr1261947904930325089at_nat ) > product_prod_nat_num > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Num__Onum_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc8319293927732033832at_nat: ( num > $o ) > ( nat > nat ) > product_prod_num_nat > product_prod_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc4208724500416182148at_nat: ( num > nat ) > ( nat > nat ) > product_prod_num_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Num__Onum_001t__Num__Onum_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc2149532328386841038at_nat: ( num > num ) > ( nat > nat ) > product_prod_num_nat > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Num__Onum,type,
% 3.29/3.48      produc3932168101365401472at_num: ( set_Pr1261947904930325089at_nat > nat ) > ( set_Pr1261947904930325089at_nat > num ) > produc3843707927480180839at_nat > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      produc1547070076189439812at_rat: ( char > char ) > ( nat > rat ) > produc3922234789054302210ar_nat > produc414006230660905482ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      produc8759894717825771837t_char: ( char > char ) > ( nat > char ) > produc3922234789054302210ar_nat > produc143505574896075907r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      produc1863155021832019360at_int: ( char > char ) > ( rat > int ) > produc414006230660905482ar_rat > produc8967755806399881310ar_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      produc1865645492341069636at_nat: ( char > char ) > ( rat > nat ) > produc414006230660905482ar_rat > produc3922234789054302210ar_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      produc1230515432254573900at_rat: ( char > char ) > ( rat > rat ) > produc414006230660905482ar_rat > produc414006230660905482ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      produc5432746246116964165t_char: ( char > char ) > ( rat > char ) > produc414006230660905482ar_rat > produc143505574896075907r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      produc5842583022792146073ar_int: ( char > char ) > ( char > int ) > produc143505574896075907r_char > produc8967755806399881310ar_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      produc5845073493301196349ar_nat: ( char > char ) > ( char > nat ) > produc143505574896075907r_char > produc3922234789054302210ar_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      produc5209943433214700613ar_rat: ( char > char ) > ( char > rat ) > produc143505574896075907r_char > produc414006230660905482ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Omap__prod_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      produc7830753070125841726r_char: ( char > char ) > ( char > char ) > produc143505574896075907r_char > produc143505574896075907r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.48      produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Nat__Onat,type,
% 3.29/3.48      produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Num__Onum,type,
% 3.29/3.48      produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J,type,
% 3.29/3.48      produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      produc4281629032016041417nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc3346328345660746739nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      produc4426278547552487717t_unit: ( heap_e7401611519738050253t_unit > ref_a > produc7812382424243267045t_unit ) > produc1799199577659733785_ref_a > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001_Eo,type,
% 3.29/3.48      produc4924168586796184916unit_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > produc7812382424243267045t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc2552614499379209865t_unit: ( ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc4846201513286513633_ref_a: ( ref_a > heap_e7401611519738050253t_unit > ref_a ) > produc7812382424243267045t_unit > ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_Mt__Heap__Oref_Itf__a_J_J,type,
% 3.29/3.48      produc2058451029528183389_ref_a: ( ref_a > heap_e7401611519738050253t_unit > produc1799199577659733785_ref_a ) > produc7812382424243267045t_unit > produc1799199577659733785_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Code____Numeral__Ointeger_001_Eo,type,
% 3.29/3.48      produc540600059291021473eger_o: ( int > code_integer > $o ) > produc2963269191615333738nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      produc8213879946458358998nt_nat: ( int > int > nat ) > product_prod_int_int > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc8423408460612925143nt_nat: ( int > int > product_prod_int_nat ) > product_prod_int_int > product_prod_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      produc3246203729202673879at_int: ( int > int > product_prod_nat_int ) > product_prod_int_int > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      produc4257766111578684402_set_o: ( int > int > set_o ) > product_prod_int_int > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      produc73460835934605544et_int: ( int > int > set_int ) > product_prod_int_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      produc4251311855443802252et_nat: ( int > int > set_nat ) > product_prod_int_int > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc5385566376148791347nt_nat: ( int > nat > product_prod_int_nat ) > product_prod_int_nat > product_prod_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Rat__Orat_J,type,
% 3.29/3.48      produc1877337817755394619nt_rat: ( int > nat > product_prod_int_rat ) > product_prod_int_nat > product_prod_int_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      produc208361644738540083at_int: ( int > nat > product_prod_nat_int ) > product_prod_int_nat > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Int__Oint_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Rat__Orat_J,type,
% 3.29/3.48      produc877984105854340063at_rat: ( int > nat > product_prod_nat_rat ) > product_prod_int_nat > product_prod_nat_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc6663371796859813939nt_nat: ( nat > int > product_prod_int_nat ) > product_prod_nat_int > product_prod_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      produc1486167065449562675at_int: ( nat > int > product_prod_nat_int ) > product_prod_nat_int > product_prod_nat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Int__Oint_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.48      produc1169612421514696763at_int: ( nat > int > product_prod_rat_int ) > product_prod_nat_int > product_prod_rat_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Int__Oint_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc5347463441023893471at_nat: ( nat > int > product_prod_rat_nat ) > product_prod_nat_int > product_prod_rat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.48      produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.48      produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      produc59986286002894506_set_o: ( nat > nat > set_o ) > product_prod_nat_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      produc2011625207790711856et_int: ( nat > nat > set_int ) > product_prod_nat_nat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      produc6189476227299908564et_nat: ( nat > nat > set_nat ) > product_prod_nat_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc8197505143624133779at_nat: ( nat > nat > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      produc4927758841916487424_num_o: ( nat > num > $o ) > product_prod_nat_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.48      produc4970712607118878916um_int: ( nat > num > int ) > product_prod_nat_num > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      produc4973203077627929192um_nat: ( nat > num > nat ) > product_prod_nat_num > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Option__Ooption_It__Num__Onum_J,type,
% 3.29/3.48      produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc8564434177180591209at_nat: ( nat > num > product_prod_nat_nat ) > product_prod_nat_num > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      produc49306077274653107at_num: ( nat > num > product_prod_nat_num ) > product_prod_nat_num > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      produc836176033315069408_set_o: ( nat > num > set_o ) > product_prod_nat_num > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      produc9175805072616146554et_int: ( nat > num > set_int ) > product_prod_nat_num > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      produc4130284055270567454et_nat: ( nat > num > set_nat ) > product_prod_nat_num > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Num__Onum_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc859037500352796105at_nat: ( nat > num > set_Pr1261947904930325089at_nat ) > product_prod_nat_num > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo,type,
% 3.29/3.48      produc4306188689235752475_int_o: ( nat > product_prod_int_int > $o ) > produc6945250483304103390nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      produc5864757623865647827_nat_o: ( nat > product_prod_nat_nat > $o ) > produc7248412053542808358at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc6857965554392702720_nat_o: ( num > nat > $o ) > product_prod_num_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      produc5219324331026901427at_num: ( num > nat > product_prod_nat_num ) > product_prod_num_nat > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Num__Onum_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      produc5703948589228662326_num_o: ( num > num > $o ) > product_prod_num_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Predicate__Opred_It__Product____Type__Ounit_J_001t__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_001t__Product____Type__Oprod_It__Predicate__Opred_It__Product____Type__Ounit_J_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J,type,
% 3.29/3.48      produc6665183775751917029atural: ( pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ) > produc4675096598859438275atural > produc4675096598859438275atural ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc5441891513209881465_nat_o: ( product_prod_int_int > nat > $o ) > produc1709102135585200056nt_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo,type,
% 3.29/3.48      produc1676490119946744748_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > produc1219242969750017639nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      produc3235059054576640100_nat_o: ( product_prod_int_int > product_prod_nat_nat > $o ) > produc1522404539988722607at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      produc6937227050501860053_int_o: ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      produc8758269395934548017_nat_o: ( product_prod_nat_nat > nat > $o ) > produc8373899037510109440at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo,type,
% 3.29/3.48      produc5031841752791441652_int_o: ( product_prod_nat_nat > product_prod_int_int > $o ) > produc556289286640904991nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      produc6590410687421337004_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc859450856879609959at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_Eo,type,
% 3.29/3.48      produc410239310623530412_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      produc7548845685434208379at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001_Eo,type,
% 3.29/3.48      produc9020218426428501292_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > produc1319942482725812455at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      produc5456455677105495163at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ) > produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001_Eo_001_Eo,type,
% 3.29/3.48      product_fst_o_o: product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      product_fst_o_int: product_prod_o_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      product_fst_o_nat: product_prod_o_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc5219655352205527288t_unit: produc3788275437394581276t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      produc1861665112190112313nteger: produc3346328345660746739nteger > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc2762368996035445955t_unit: produc8126358835630522215t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc5717040794327095847_ref_a: produc1799199577659733785_ref_a > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc473321116828791851t_unit: produc7812382424243267045t_unit > ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc6942380573175061695_ref_a: produc5288414631154139675_ref_a > ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      product_fst_int_o: product_prod_int_o > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc45500017171379470nteger: produc2963269191615333738nteger > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      product_fst_int_int: product_prod_int_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      product_fst_int_nat: product_prod_int_nat > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc917050878549155996t_unit: produc6865911496949736918t_unit > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      product_fst_nat_o: product_prod_nat_o > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      product_fst_nat_int: product_prod_nat_int > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      product_fst_nat_nat: product_prod_nat_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      product_fst_nat_num: product_prod_nat_num > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc3800628931346975736t_unit: produc526117512892780850t_unit > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      product_fst_num_nat: product_prod_num_nat > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      product_fst_num_num: product_prod_num_num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      produc6435950281062462810_nat_o: produc652263959640188542_nat_o > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      produc4619704898428564714at_int: produc4196048018000912732at_int > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc3213797794245857475at_nat: produc859450856879609959at_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      produc582253812616888142unit_o: produc7485711547916492274unit_o > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      produc5169466786534984090it_nat: produc600557818389255820it_nat > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc6963936691090040003t_unit: produc8459935480633519975t_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc6011863565407846595at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Ofst_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc4486455499028916547at_nat: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001_Eo_001_Eo,type,
% 3.29/3.48      product_snd_o_o: product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      product_snd_o_int: product_prod_o_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      product_snd_o_nat: product_prod_o_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc2875488738488844090t_unit: produc3788275437394581276t_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Code____Numeral__Ointeger_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      produc7955729907432593271nteger: produc3346328345660746739nteger > produc8923325533196201883nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc1692618790031806469t_unit: produc8126358835630522215t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc6369869760173755749_ref_a: produc1799199577659733785_ref_a > ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc1126150082675451753t_unit: produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Heap__Oref_Itf__a_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc8185483580310833921_ref_a: produc5288414631154139675_ref_a > ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      product_snd_int_o: product_prod_int_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      produc2153544567185597776nteger: produc2963269191615333738nteger > code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      product_snd_int_int: product_prod_int_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      product_snd_int_nat: product_prod_int_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      product_snd_nat_o: product_prod_nat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      product_snd_nat_int: product_prod_nat_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      product_snd_nat_nat: product_prod_nat_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      product_snd_nat_num: product_prod_nat_num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc8850949007409916470t_unit: produc526117512892780850t_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      product_snd_num_nat: product_prod_num_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      product_snd_num_num: product_prod_num_num > num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      produc668916169454083228_nat_o: produc652263959640188542_nat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      produc3064508320661873192at_int: produc4196048018000912732at_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      produc6408287024330202629at_nat: produc859450856879609959at_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      produc7461459235754980752unit_o: produc7485711547916492274unit_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      produc996414825743149016it_nat: produc600557818389255820it_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      produc6786084904866402309t_unit: produc8459935480633519975t_unit > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc2937545259423399429at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Osnd_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc826222791318859909at_nat: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      produc6214465446503547763_ref_a: produc1799199577659733785_ref_a > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Heap__Oref_Itf__a_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      produc970745769005243767t_unit: produc7812382424243267045t_unit > produc1799199577659733785_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      product_swap_int_int: product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      product_swap_nat_num: product_prod_nat_num > product_prod_num_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      product_swap_num_nat: product_prod_num_nat > product_prod_nat_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc3946833401584108663at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oprod_Oswap_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      produc5396952528824381687at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oproduct_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      produc929334515565554804at_nat: set_nat > set_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Oproduct_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      produc3241716407206042770at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ounit_OAbs__unit,type,
% 3.29/3.48      product_Abs_unit: $o > product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Product__Type_Ounit_ORep__unit,type,
% 3.29/3.48      product_Rep_unit: product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Random__Pred_Onot__randompred,type,
% 3.29/3.48      random6974930770145893639ompred: ( produc7822875418678951345atural > produc4675096598859438275atural ) > produc7822875418678951345atural > produc4675096598859438275atural ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rat_OFract,type,
% 3.29/3.48      fract: int > int > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rat_Ofield__char__0__class_ORats_001t__Rat__Orat,type,
% 3.29/3.48      field_6020823756834552118ts_rat: set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rat_Onormalize,type,
% 3.29/3.48      normalize: product_prod_int_int > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rat_Oquotient__of,type,
% 3.29/3.48      quotient_of: rat > product_prod_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oalloc_001tf__a,type,
% 3.29/3.48      alloc_a: a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Ochange_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      change_ref_a: ( ref_a > ref_a ) > ref_ref_a > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Ochange_001tf__a,type,
% 3.29/3.48      change_a: ( a > a ) > ref_a > heap_Heap_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oget_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      get_ref_a: heap_e7401611519738050253t_unit > ref_ref_a > ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oget_001tf__a,type,
% 3.29/3.48      get_a: heap_e7401611519738050253t_unit > ref_a > a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Olookup_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      lookup_ref_a: ref_ref_a > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Olookup_001tf__a,type,
% 3.29/3.48      lookup_a: ref_a > heap_Heap_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Onoteq_001tf__a_001tf__a,type,
% 3.29/3.48      noteq_a_a: ref_a > ref_a > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Opresent_001tf__a,type,
% 3.29/3.48      present_a: heap_e7401611519738050253t_unit > ref_a > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oref_001tf__a,type,
% 3.29/3.48      ref_a2: a > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oref_H_001tf__a,type,
% 3.29/3.48      ref_a3: a > heap_Heap_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oset_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      set_ref_a2: ref_ref_a > ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oset_001tf__a,type,
% 3.29/3.48      set_a: ref_a > a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Ref_Oupdate_001tf__a,type,
% 3.29/3.48      update_a: ref_a > a > heap_H6156071679106078628t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001_Eo,type,
% 3.29/3.48      field_o: set_Product_prod_o_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Int__Oint,type,
% 3.29/3.48      field_int: set_Pr958786334691620121nt_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Nat__Onat,type,
% 3.29/3.48      field_nat: set_Pr1261947904930325089at_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      field_4706345496283612622at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      field_3044959742847878580at_nat: set_Pr553994874890374343at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Product____Type__Ounit,type,
% 3.29/3.48      field_Product_unit: set_Pr5094982260447487303t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OField_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      field_1428494348145443988at_nat: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001_Eo,type,
% 3.29/3.48      id_o2: set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001t__Int__Oint,type,
% 3.29/3.48      id_int2: set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001t__Nat__Onat,type,
% 3.29/3.48      id_nat2: set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      id_Pro2258643101195443293at_nat: set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      id_Pro5428700290092274115at_nat: set_Pr5564308138774400199at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      id_set1796276052702428605at_nat: set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      id_set4888139568991089827at_nat: set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001_Eo,type,
% 3.29/3.48      id_on_o: set_o > set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Int__Oint,type,
% 3.29/3.48      id_on_int: set_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Nat__Onat,type,
% 3.29/3.48      id_on_nat: set_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Num__Onum,type,
% 3.29/3.48      id_on_num: set_num > set_Pr8218934625190621173um_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      id_on_8598933527810153430nt_int: set_Pr958786334691620121nt_int > set_Pr2560585780119916871nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      id_on_2554058798563519774at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      id_on_7869290023980668164at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      id_on_6713504163309144702at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_OId__on_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      id_on_3275838214495744996at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      conver1062113817206378758nt_int: ( ( int > product_prod_int_int ) > ( int > int ) > $o ) > ( int > int ) > ( int > product_prod_int_int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver1572571282669976050nt_nat: ( ( int > product_prod_nat_nat ) > ( int > nat ) > $o ) > ( int > nat ) > ( int > product_prod_nat_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.48      conver5699786650113435344nt_num: ( ( int > product_prod_num_num ) > ( int > num ) > $o ) > ( int > num ) > ( int > product_prod_num_num ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver6066198818478722162at_nat: ( ( list_nat > product_prod_nat_nat ) > ( list_nat > nat ) > $o ) > ( list_nat > nat ) > ( list_nat > product_prod_nat_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      conver2987682522074450438at_int: ( ( nat > product_prod_int_int ) > ( nat > int ) > $o ) > ( nat > int ) > ( nat > product_prod_int_int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver3498139987538047730at_nat: ( ( nat > product_prod_nat_nat ) > ( nat > nat ) > $o ) > ( nat > nat ) > ( nat > product_prod_nat_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      conver3229387634306789365nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.48      conver6967689361887734790at_int: ( ( rat > product_prod_int_int ) > ( rat > int ) > $o ) > ( rat > int ) > ( rat > product_prod_int_int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver7478146827351332082at_nat: ( ( rat > product_prod_nat_nat ) > ( rat > nat ) > $o ) > ( rat > nat ) > ( rat > product_prod_nat_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__String__Ochar_Mt__Int__Oint_J,type,
% 3.29/3.48      conver1155128050257070662ar_int: ( ( char > product_prod_int_int ) > ( char > int ) > $o ) > ( char > int ) > ( char > product_prod_int_int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver5210974729819302706ar_nat: ( ( char > product_prod_nat_nat ) > ( char > nat ) > $o ) > ( char > nat ) > ( char > product_prod_nat_nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001_Eo_001_Eo,type,
% 3.29/3.48      conversep_o_o: ( $o > $o > $o ) > $o > $o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.48      conver1462408618118490240er_int: ( code_integer > int > $o ) > int > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      conver2101108097643427968nteger: ( int > code_integer > $o ) > code_integer > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      conversep_int_int: ( int > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      conversep_int_nat: ( int > nat > $o ) > nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver1866313717161370910at_nat: ( int > product_prod_nat_nat > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.48      conver909888920752868663st_nat: ( list_nat > list_nat > $o ) > list_nat > list_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      conversep_nat_o: ( nat > $o > $o ) > $o > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      conversep_nat_int: ( nat > int > $o ) > int > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      conversep_nat_nat: ( nat > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      conversep_nat_num: ( nat > num > $o ) > num > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      conversep_nat_rat: ( nat > rat > $o ) > rat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      conversep_nat_char: ( nat > char > $o ) > char > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      conversep_num_nat: ( num > nat > $o ) > nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      conversep_num_num: ( num > num > $o ) > num > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      conver4368408235330554745_ref_a: ( produc7812382424243267045t_unit > ref_a > $o ) > ref_a > produc7812382424243267045t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint,type,
% 3.29/3.48      conver7247880940930113968nt_int: ( product_prod_int_int > int > $o ) > int > product_prod_int_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      conver4689305806000247544at_int: ( product_prod_nat_nat > int > $o ) > int > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      conver4691796276509297820at_nat: ( product_prod_nat_nat > nat > $o ) > nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      conver6965824823119931701at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      conversep_rat_int: ( rat > int > $o ) > int > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      conversep_rat_nat: ( rat > nat > $o ) > nat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      conversep_rat_rat: ( rat > rat > $o ) > rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      conversep_rat_char: ( rat > char > $o ) > char > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      conver5243090411617913141at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      conver9095369822871743413at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      conversep_char_int: ( char > int > $o ) > int > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      conversep_char_nat: ( char > nat > $o ) > nat > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      conversep_char_rat: ( char > rat > $o ) > rat > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oconversep_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      conversep_char_char: ( char > char > $o ) > char > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      inv_image_int_int: set_Pr958786334691620121nt_int > ( int > int ) > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      inv_image_int_nat: set_Pr958786334691620121nt_int > ( nat > int ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      inv_im8510909985083594081at_nat: set_Pr958786334691620121nt_int > ( set_Pr1261947904930325089at_nat > int ) > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      inv_image_nat_int: set_Pr1261947904930325089at_nat > ( int > nat ) > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      inv_image_nat_nat: set_Pr1261947904930325089at_nat > ( nat > nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      inv_im6750873321330482877at_nat: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > nat ) > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      inv_im2354225701593503139at_nat: set_Pr1261947904930325089at_nat > ( set_Pr4329608150637261639at_nat > nat ) > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Int__Oint,type,
% 3.29/3.48      inv_im4434751243573137211at_int: set_Pr4329608150637261639at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat,type,
% 3.29/3.48      inv_im4437241714082187487at_nat: set_Pr4329608150637261639at_nat > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      inv_im7023619800666061458at_nat: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Int__Oint,type,
% 3.29/3.48      inv_im2900519150384625825at_int: set_Pr7459493094073627847at_nat > ( int > set_Pr4329608150637261639at_nat ) > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Oinv__image_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Nat__Onat,type,
% 3.29/3.48      inv_im2903009620893676101at_nat: set_Pr7459493094073627847at_nat > ( nat > set_Pr4329608150637261639at_nat ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001_Eo,type,
% 3.29/3.48      refl_on_o: set_o > set_Product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Int__Oint,type,
% 3.29/3.48      refl_on_int: set_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Nat__Onat,type,
% 3.29/3.48      refl_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      refl_o7122697186039111552at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      refl_o7446464703481863270at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Product____Type__Ounit,type,
% 3.29/3.48      refl_on_Product_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      refl_o6955724340487615712at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orefl__on_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      refl_o6272981002401706822at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      relcom1820845089908643850nteger: ( ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      relcom7212586982944386682nteger: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      relcom6733878598652036755nt_int: ( ( int > int ) > ( int > product_prod_int_int ) > $o ) > ( ( int > product_prod_int_int ) > ( int > int ) > $o ) > ( int > int ) > ( int > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom2406850561174050523nt_nat: ( ( int > nat ) > ( int > product_prod_nat_nat ) > $o ) > ( ( int > product_prod_nat_nat ) > ( int > nat ) > $o ) > ( int > nat ) > ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J,type,
% 3.29/3.48      relcom1848932251921554756er_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( code_integer > num ) > ( code_integer > num ) > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.48      relcom7779292856395800339nt_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( code_integer > num ) > ( int > num ) > $o ) > ( int > num ) > ( int > num ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Code____Numeral__Ointeger_Mt__Num__Onum_J,type,
% 3.29/3.48      relcom1533066287727470739er_num: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.48      relcom9025577121137075810nt_num: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( int > num ) > ( int > num ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Num__Onum_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.48      relcom1697847500783689711nt_num: ( ( int > num ) > ( int > product_prod_num_num ) > $o ) > ( ( int > product_prod_num_num ) > ( int > num ) > $o ) > ( int > num ) > ( int > num ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Int__Oint_J,type,
% 3.29/3.48      relcom2127790875031262553er_int: ( ( int > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > $o ) > ( ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ) > ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom5920149085449455271at_nat: ( ( list_nat > nat ) > ( list_nat > product_prod_nat_nat ) > $o ) > ( ( list_nat > product_prod_nat_nat ) > ( list_nat > nat ) > $o ) > ( list_nat > nat ) > ( list_nat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Nat__Onat_Mt__Int__Oint_J_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      relcom3290293904592725231at_int: ( ( nat > int ) > ( nat > product_prod_int_int ) > $o ) > ( ( nat > product_prod_int_int ) > ( nat > int ) > $o ) > ( nat > int ) > ( nat > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom8186637903969514807at_nat: ( ( nat > nat ) > ( nat > product_prod_nat_nat ) > $o ) > ( ( nat > product_prod_nat_nat ) > ( nat > nat ) > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      relcom458776940982682326nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom4829277440228594702nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > code_integer > $o ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      relcom4574826104943343961nteger: ( ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > $o ) > ( ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ) > ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom4272412204205018633nt_nat: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( int > nat ) > ( int > nat ) > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom531901107642208332nt_nat: ( ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      relcom4982215633375716084nt_int: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Rat__Orat_Mt__Int__Oint_J_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.48      relcom2810802720173317863at_int: ( ( rat > int ) > ( rat > product_prod_int_int ) > $o ) > ( ( rat > product_prod_int_int ) > ( rat > int ) > $o ) > ( rat > int ) > ( rat > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__Rat__Orat_Mt__Nat__Onat_J_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom7707146719550107439at_nat: ( ( rat > nat ) > ( rat > product_prod_nat_nat ) > $o ) > ( ( rat > product_prod_nat_nat ) > ( rat > nat ) > $o ) > ( rat > nat ) > ( rat > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__String__Ochar_Mt__Int__Oint_J_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__String__Ochar_Mt__Int__Oint_J,type,
% 3.29/3.48      relcom4417706183330134766ar_int: ( ( char > int ) > ( char > product_prod_int_int ) > $o ) > ( ( char > product_prod_int_int ) > ( char > int ) > $o ) > ( char > int ) > ( char > int ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_062_It__String__Ochar_Mt__Nat__Onat_J_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom8141925468094106422ar_nat: ( ( char > nat ) > ( char > product_prod_nat_nat ) > $o ) > ( ( char > product_prod_nat_nat ) > ( char > nat ) > $o ) > ( char > nat ) > ( char > nat ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_Eo_001_Eo_001_Eo,type,
% 3.29/3.48      relcompp_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > $o > $o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001_Eo_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      relcompp_o_o_nat: ( $o > $o > $o ) > ( $o > nat > $o ) > $o > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom692387321444912665nteger: ( code_integer > int > $o ) > ( int > code_integer > $o ) > code_integer > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Code____Numeral__Ointeger_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      relcom3789353511612409832nt_int: ( code_integer > int > $o ) > ( int > int > $o ) > code_integer > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Heap__Oref_Itf__a_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      relcom3136146828236442456t_unit: ( ref_a > produc7812382424243267045t_unit > $o ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit > $o ) > ref_a > heap_e7401611519738050253t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom8320293257703906841nteger: ( int > code_integer > $o ) > ( code_integer > code_integer > $o ) > int > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.48      relcom328798225758222312er_int: ( int > code_integer > $o ) > ( code_integer > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom967497705283160040nteger: ( int > int > $o ) > ( int > code_integer > $o ) > int > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      relcompp_int_int_int: ( int > int > $o ) > ( int > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      relcompp_int_int_nat: ( int > int > $o ) > ( int > nat > $o ) > int > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      relcompp_int_nat_int: ( int > nat > $o ) > ( nat > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      relcompp_int_nat_num: ( int > nat > $o ) > ( nat > num > $o ) > int > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint,type,
% 3.29/3.48      relcom3664783465810776136nt_int: ( int > product_prod_int_int > $o ) > ( product_prod_int_int > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      relcom1106208330880909712at_int: ( int > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > int > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom716700242784427165at_nat: ( int > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__List__Olist_It__Nat__Onat_J_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom7887202796854296604nteger: ( list_nat > int > $o ) > ( int > code_integer > $o ) > list_nat > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.48      relcom8030397737370142931st_nat: ( list_nat > list_nat > $o ) > ( list_nat > list_nat > $o ) > list_nat > list_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__List__Olist_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      relcom170568170053003356at_int: ( list_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > list_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001_Eo_001_Eo,type,
% 3.29/3.48      relcompp_nat_o_o: ( nat > $o > $o ) > ( $o > $o > $o ) > nat > $o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      relcompp_nat_o_nat: ( nat > $o > $o ) > ( $o > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom3277315637376110988nteger: ( nat > int > $o ) > ( int > code_integer > $o ) > nat > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      relcompp_nat_int_int: ( nat > int > $o ) > ( int > int > $o ) > nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      relcompp_nat_int_nat: ( nat > int > $o ) > ( int > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      relcompp_nat_nat_int: ( nat > nat > $o ) > ( nat > int > $o ) > nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      relcompp_nat_nat_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      relcompp_nat_nat_num: ( nat > nat > $o ) > ( nat > num > $o ) > nat > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      relcom8569543703982574316at_int: ( nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      relcom8572034174491624592at_nat: ( nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      relcompp_nat_rat_nat: ( nat > rat > $o ) > ( rat > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Nat__Onat_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      relcom8112501251453913252ar_nat: ( nat > char > $o ) > ( char > nat > $o ) > nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Num__Onum_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      relcompp_num_nat_int: ( num > nat > $o ) > ( nat > int > $o ) > num > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Num__Onum_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      relcompp_num_nat_num: ( num > nat > $o ) > ( nat > num > $o ) > num > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Num__Onum_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      relcompp_num_num_num: ( num > num > $o ) > ( num > num > $o ) > num > num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      relcom2949942408940504938nt_int: ( product_prod_nat_nat > int > $o ) > ( int > int > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      relcom8911704206367525917at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      relcom282571730187242960at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Rat__Orat_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom3409376902655092628nteger: ( rat > int > $o ) > ( int > code_integer > $o ) > rat > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Rat__Orat_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.48      relcompp_rat_int_rat: ( rat > int > $o ) > ( int > rat > $o ) > rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Rat__Orat_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      relcompp_rat_nat_rat: ( rat > nat > $o ) > ( nat > rat > $o ) > rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Rat__Orat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      relcom1211213461163567844at_int: ( rat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > rat > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Rat__Orat_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      relcompp_rat_rat_rat: ( rat > rat > $o ) > ( rat > rat > $o ) > rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Rat__Orat_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      relcom1505247221262953652ar_rat: ( rat > char > $o ) > ( char > rat > $o ) > rat > rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      relcom8363394528208558896at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__String__Ochar_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      relcom5819909836510906509nteger: ( char > int > $o ) > ( int > code_integer > $o ) > char > code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__String__Ochar_001t__Int__Oint_001t__String__Ochar,type,
% 3.29/3.48      relcom750623199913152513t_char: ( char > int > $o ) > ( int > char > $o ) > char > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__String__Ochar_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      relcom6755291642603558309t_char: ( char > nat > $o ) > ( nat > char > $o ) > char > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__String__Ochar_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      relcom7879471502873553579at_int: ( char > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > char > int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__String__Ochar_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      relcom3428143170894750637t_char: ( char > rat > $o ) > ( rat > char > $o ) > char > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Orelcompp_001t__String__Ochar_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      relcom5872928454965100966r_char: ( char > char > $o ) > ( char > char > $o ) > char > char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001_Eo,type,
% 3.29/3.48      total_on_o: set_o > set_Product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Int__Oint,type,
% 3.29/3.48      total_on_int: set_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Nat__Onat,type,
% 3.29/3.48      total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      total_3592101749530773125at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      total_1513685709984341995at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Product____Type__Ounit,type,
% 3.29/3.48      total_5665700600833547665t_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      total_7212417256332265445at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Ototal__on_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      total_5117575981256876747at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Relation_Otrans_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      trans_4347625901269045472at_nat: set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rings_Odivide__class_Odivide_001t__Int__Oint,type,
% 3.29/3.48      divide_divide_int: int > int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rings_Odivide__class_Odivide_001t__Rat__Orat,type,
% 3.29/3.48      divide_divide_rat: rat > rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat,type,
% 3.29/3.48      dvd_dvd_nat: nat > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rings_Omodulo__class_Omodulo_001t__Nat__Onat,type,
% 3.29/3.48      modulo_modulo_nat: nat > nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Rings_Ozero__neq__one__class_Oof__bool_001t__Int__Oint,type,
% 3.29/3.48      zero_n2684676970156552555ol_int: $o > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Code____Numeral__Ointeger_M_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      collec5651646645946169514nteger: ( ( code_integer > code_integer > code_integer ) > $o ) > set_Co4375521073081744395nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      collect_int_int: ( ( int > int ) > $o ) > set_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      collect_int_nat: ( ( int > nat ) > $o ) > set_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Int__Oint_Mt__Num__Onum_J,type,
% 3.29/3.48      collect_int_num: ( ( int > num ) > $o ) > set_int_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec2229320974926845999nt_int: ( ( int > product_prod_int_int ) > $o ) > set_in6154042108061588260nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec2532482545165550967at_nat: ( ( int > product_prod_nat_nat ) > $o ) > set_in7748886932685137004at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J,type,
% 3.29/3.48      collec266097228571071243um_num: ( ( int > product_prod_num_num ) > $o ) > set_in3169746454734514176um_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec3092956710985254339at_nat: ( ( list_nat > product_prod_nat_nat ) > $o ) > set_li2168235667650531768at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.48      collect_nat_o: ( ( nat > $o ) > $o ) > set_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      collect_nat_nat: ( ( nat > nat ) > $o ) > set_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec8414850927317488011nt_int: ( ( nat > product_prod_int_int ) > $o ) > set_na7251125088705586816nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec8718012497556192979at_nat: ( ( nat > product_prod_nat_nat ) > $o ) > set_na8845969913329135560at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec2521308361159233923nt_int: ( ( rat > product_prod_int_int ) > $o ) > set_ra518564293221149304nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec2824469931397938891at_nat: ( ( rat > product_prod_nat_nat ) > $o ) > set_ra2113409117844698048at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec1380656525566158922nt_int: ( ( char > product_prod_int_int ) > $o ) > set_ch6383161263842509759nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec1683818095804863890at_nat: ( ( char > product_prod_nat_nat ) > $o ) > set_ch7978006088466058503at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001_Eo,type,
% 3.29/3.48      collect_o: ( $o > $o ) > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      collect_ref_a: ( ref_a > $o ) > set_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Int__Oint,type,
% 3.29/3.48      collect_int: ( int > $o ) > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Nat__Onat,type,
% 3.29/3.48      collect_nat: ( nat > $o ) > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      collec3252306575900995386t_unit: ( produc7812382424243267045t_unit > $o ) > set_Pr1133966238863718811t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      collec7215431352809750357nteger: ( produc2963269191615333738nteger > $o ) > set_Pr8415741480598773322nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      collec4100598399430923318at_num: ( product_prod_nat_num > $o ) > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec5600542410287506995nt_int: ( produc6945250483304103390nt_int > $o ) > set_Pr6123067485828015636nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec5903703980526211963at_nat: ( produc7248412053542808358at_nat > $o ) > set_Pr7717912310451564380at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J,type,
% 3.29/3.48      collec1522684865789554998um_nat: ( product_prod_num_nat > $o ) > set_Pr3280342998896498603um_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J,type,
% 3.29/3.48      collec2230928802738392704um_num: ( product_prod_num_num > $o ) > set_Pr8218934625190621173um_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Nat__Onat_J,type,
% 3.29/3.48      collec364394062568603661nt_nat: ( produc1709102135585200056nt_nat > $o ) > set_Pr2543308735921124078nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec7447955092554649554nt_int: ( produc1219242969750017639nt_int > $o ) > set_Pr2560585780119916871nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec7751116662793354522at_nat: ( produc1522404539988722607at_nat > $o ) > set_Pr4155430604743465615at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.48      collec2851339944984316337at_int: ( produc4196048018000912732at_int > $o ) > set_Pr49084382684228242at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Nat__Onat_J,type,
% 3.29/3.48      collec7029190964493513045at_nat: ( produc8373899037510109440at_nat > $o ) > set_Pr2539167527615954998at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      collec6785001409445536906nt_int: ( produc556289286640904991nt_int > $o ) > set_Pr7098892610798258687nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec7088162979684241874at_nat: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      collec7872792499061297490at_nat: ( produc1319942482725812455at_nat > $o ) > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Rat__Orat,type,
% 3.29/3.48      collect_rat: ( rat > $o ) > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OCollect_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      collec4573900263915890866at_nat: ( set_Pr4329608150637261639at_nat > $o ) > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001_Eo,type,
% 3.29/3.48      pow_o: set_o > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001t__Int__Oint,type,
% 3.29/3.48      pow_int: set_int > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001t__Nat__Onat,type,
% 3.29/3.48      pow_nat: set_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      pow_Pr3466873192417945886at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      pow_Pr1023649790151954692at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001t__Product____Type__Ounit,type,
% 3.29/3.48      pow_Product_unit: set_Product_unit > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_OPow_001t__Rat__Orat,type,
% 3.29/3.48      pow_rat: set_rat > set_set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_I_Eo_M_Eo_J_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_o_o_set_o: ( ( $o > $o ) > set_o ) > set_o_o > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J,type,
% 3.29/3.48      image_1365644804893650413_int_o: ( ( int > int > $o ) > product_prod_int_int > $o ) > set_int_int_o > set_Pr8049984349381595834_int_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_M_Eo_J_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_int_o_set_int: ( ( int > $o ) > set_int ) > set_int_o > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_6646056845087809525nt_int: ( ( int > int ) > int > int ) > set_int_int > set_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_1600535827742230425nt_nat: ( ( int > int ) > int > nat ) > set_int_int > set_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_1234974663384347033nt_int: ( ( int > nat ) > int > int ) > set_int_nat > set_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_5412825682893543741nt_nat: ( ( int > nat ) > int > nat ) > set_int_nat > set_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_1904597124500147013nt_rat: ( ( int > nat ) > int > rat ) > set_int_nat > set_int_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__Rat__Orat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_4174709274675160035t_unit: ( ( int > rat ) > product_unit ) > set_int_rat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Int__Oint_Mt__String__Ochar_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_4409302170498516394t_unit: ( ( int > char ) > product_unit ) > set_int_char > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.48      image_7429393840292777309_nat_o: ( ( nat > nat > $o ) > product_prod_nat_nat > $o ) > set_nat_nat_o > set_Pr5582243495563764594_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_M_Eo_J,type,
% 3.29/3.48      image_8484515203959327177_num_o: ( ( nat > num > $o ) > product_prod_nat_num > $o ) > set_nat_num_o > set_Pr5908833319024110760_num_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_M_Eo_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_nat_o_set_nat: ( ( nat > $o ) > set_nat ) > set_nat_o > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_5437939712159429529nt_int: ( ( nat > int ) > int > int ) > set_nat_int > set_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_392418694813850429nt_nat: ( ( nat > int ) > int > nat ) > set_nat_int > set_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_26857530455967037nt_int: ( ( nat > nat ) > int > int ) > set_nat_nat > set_int_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_4204708549965163745nt_nat: ( ( nat > nat ) > int > nat ) > set_nat_nat > set_int_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_696479991571767017nt_rat: ( ( nat > nat ) > int > rat ) > set_nat_nat > set_int_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__Rat__Orat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_340470173791133503t_unit: ( ( nat > rat ) > product_unit ) > set_nat_rat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Nat__Onat_Mt__String__Ochar_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_4600008085730780422t_unit: ( ( nat > char ) > product_unit ) > set_nat_char > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      image_4447441447610994254nt_int: ( ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ) > set_Pr8049984349381595834_int_o > set_se6260736226359567993nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_7124889717316225246at_nat: ( ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ) > set_Pr5582243495563764594_nat_o > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      image_6580737572886966642at_num: ( ( product_prod_nat_num > $o ) > set_Pr6200539531224447659at_num ) > set_Pr5908833319024110760_num_o > set_se4826145725398303499at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_4902389024228248874at_nat: ( ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ) > set_Pr7010166363911110284_nat_o > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      image_5694205205332509994at_nat: ( ( produc1319942482725812455at_nat > $o ) > set_Pr7459493094073627847at_nat ) > set_Pr7669914128964046860_nat_o > set_se7592288975875140775at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Rat__Orat_Mt__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_2910438736038083391t_unit: ( ( rat > nat ) > product_unit ) > set_rat_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Rat__Orat_Mt__Rat__Orat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_1193274288206594871t_unit: ( ( rat > rat ) > product_unit ) > set_rat_rat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Rat__Orat_Mt__String__Ochar_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_6940606515012899070t_unit: ( ( rat > char ) > product_unit ) > set_rat_char > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_M_Eo_J,type,
% 3.29/3.48      image_6226802281960588479_nat_o: ( ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > $o ) > set_se9180647916752606350_nat_o > set_Pr7010166363911110284_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_M_Eo_J,type,
% 3.29/3.48      image_5235725667318448191_nat_o: ( ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > produc1319942482725812455at_nat > $o ) > set_se7255092946006855566_nat_o > set_Pr7669914128964046860_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__String__Ochar_Mt__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_108929247839792006t_unit: ( ( char > nat ) > product_unit ) > set_char_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__String__Ochar_Mt__Rat__Orat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_7615136836863079294t_unit: ( ( char > rat ) > product_unit ) > set_char_rat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_062_It__String__Ochar_Mt__String__Ochar_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_8077363282794994245t_unit: ( ( char > char ) > product_unit ) > set_char_char > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001_Eo,type,
% 3.29/3.48      image_o_o: ( $o > $o ) > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      image_o_Code_integer: ( $o > code_integer ) > set_o > set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Int__Oint,type,
% 3.29/3.48      image_o_int: ( $o > int ) > set_o > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      image_o_nat: ( $o > nat ) > set_o > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_3855930084881510382at_nat: ( $o > product_prod_nat_nat ) > set_o > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_o_Product_unit: ( $o > product_unit ) > set_o > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Rat__Orat,type,
% 3.29/3.48      image_o_rat: ( $o > rat ) > set_o > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_o_set_o: ( $o > set_o ) > set_o > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_o_set_int: ( $o > set_int ) > set_o > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_o_set_nat: ( $o > set_nat ) > set_o > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_7077428525161401678at_nat: ( $o > set_Pr1261947904930325089at_nat ) > set_o > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_8493167801588156084at_nat: ( $o > set_Pr8693737435421807431at_nat ) > set_o > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_2496312346330513076at_nat: ( $o > set_Pr4329608150637261639at_nat ) > set_o > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_663195431845683034t_unit: ( $o > set_Product_unit ) > set_o > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      image_o_set_rat: ( $o > set_rat ) > set_o > set_set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      image_o_set_char: ( $o > set_char ) > set_o > set_set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001_Eo_001t__String__Ochar,type,
% 3.29/3.48      image_o_char: ( $o > char ) > set_o > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      image_2177946750938214461nteger: ( code_integer > code_integer > code_integer ) > set_Code_integer > set_Co726186806682698383nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      image_4470545334726330049nteger: ( code_integer > code_integer ) > set_Code_integer > set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Heap__Oref_Itf__a_J_001t__Set__Oset_It__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      image_5570573867351727369t_unit: ( ref_a > set_he8644174446132254637t_unit ) > set_ref_a > set_se4612898379794543757t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      image_int_o: ( int > $o ) > set_int > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      image_int_int: ( int > int ) > set_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      image_int_nat: ( int > nat ) > set_int > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      image_int_num: ( int > num ) > set_int > set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_5705468584675977158nt_int: ( int > product_prod_int_int ) > set_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_659947567330398058nt_nat: ( int > product_prod_int_nat ) > set_int > set_Pr3448869479623346877nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_8883965892284119310at_nat: ( int > product_prod_nat_nat ) > set_int > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J,type,
% 3.29/3.48      image_7722540232540426402um_num: ( int > product_prod_num_num ) > set_int > set_Pr8218934625190621173um_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_5846526143423701914t_unit: ( int > product_unit ) > set_int > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Rat__Orat,type,
% 3.29/3.48      image_int_rat: ( int > rat ) > set_int > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_int_set_o: ( int > set_o ) > set_int > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_int_set_int: ( int > set_int ) > set_int > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_int_set_nat: ( int > set_nat ) > set_int > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      image_8635204845542730022nt_int: ( int > set_Pr958786334691620121nt_int ) > set_int > set_se6260736226359567993nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_8938366415781434990at_nat: ( int > set_Pr1261947904930325089at_nat ) > set_int > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_525487068563185620at_nat: ( int > set_Pr8693737435421807431at_nat ) > set_int > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Int__Oint_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_8658272795163236474t_unit: ( int > set_Product_unit ) > set_int > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__List__Olist_It__Nat__Onat_J_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.48      image_7976474329151083847st_nat: ( list_nat > list_nat ) > set_list_nat > set_list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__List__Olist_It__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      image_list_nat_nat: ( list_nat > nat ) > set_list_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__List__Olist_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_2795870212791037530at_nat: ( list_nat > product_prod_nat_nat ) > set_list_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      image_nat_o: ( nat > $o ) > set_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      image_nat_int: ( nat > int ) > set_nat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__List__Olist_It__Nat__Onat_J,type,
% 3.29/3.48      image_nat_list_nat: ( nat > list_nat ) > set_nat > set_list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      image_nat_num: ( nat > num ) > set_nat > set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_2667626500211843362nt_int: ( nat > product_prod_int_int ) > set_nat > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_6845477519721040070nt_nat: ( nat > product_prod_int_nat ) > set_nat > set_Pr3448869479623346877nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_3337248961327643342nt_rat: ( nat > product_prod_int_rat ) > set_nat > set_Pr6292255179000445125nt_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_5846123807819985514at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_3276603626957510736at_nat: ( nat > produc859450856879609959at_nat ) > set_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_3978134465758882403it_nat: ( nat > produc600557818389255820it_nat ) > set_nat > set_Pr1763845938948868674it_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_469905907365485675it_rat: ( nat > produc6315701296850634900it_rat ) > set_nat > set_Pr4607231638325966922it_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.48      image_1351718144375922894at_int: ( nat > product_prod_rat_int ) > set_nat > set_Pr3594552606344371909at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_5529569163885119602at_nat: ( nat > product_prod_rat_nat ) > set_nat > set_Pr6084635751276098665at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_2021340605491722874at_rat: ( nat > product_prod_rat_rat ) > set_nat > set_Pr8928021450653196913at_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_2499013659892586576at_nat: ( nat > produc3843707927480180839at_nat ) > set_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_8730104196221521654t_unit: ( nat > product_unit ) > set_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      image_nat_rat: ( nat > rat ) > set_nat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_nat_set_o: ( nat > set_o ) > set_nat > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_nat_set_int: ( nat > set_int ) > set_nat > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_7178329752028323786at_nat: ( nat > set_Pr1261947904930325089at_nat ) > set_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      image_2893549341467670548at_num: ( nat > set_Pr6200539531224447659at_num ) > set_nat > set_se4826145725398303499at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_4592875511192039216at_nat: ( nat > set_Pr8693737435421807431at_nat ) > set_nat > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_1087905878993176368at_nat: ( nat > set_Pr4329608150637261639at_nat ) > set_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_4824033694279209942t_unit: ( nat > set_Product_unit ) > set_nat > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      image_nat_set_rat: ( nat > set_rat ) > set_nat > set_set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      image_nat_set_char: ( nat > set_char ) > set_nat > set_set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      image_nat_char: ( nat > char ) > set_nat > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Nat__Onat_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_678696785212003926at_nat: ( nat > sum_sum_nat_nat ) > set_nat > set_Sum_sum_nat_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      image_num_o: ( num > $o ) > set_num > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Num__Onum_001t__Int__Oint,type,
% 3.29/3.48      image_num_int: ( num > int ) > set_num > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      image_num_nat: ( num > nat ) > set_num > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      image_num_num: ( num > num ) > set_num > set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Num__Onum_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J,type,
% 3.29/3.48      image_4778453735051108682at_num: ( num > set_Pr6200539531224447659at_num ) > set_num > set_se4826145725398303499at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_Eo_M_Eo_J_001_Eo,type,
% 3.29/3.48      image_7896445794123959606_o_o_o: ( product_prod_o_o > $o ) > set_Product_prod_o_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      image_8105710389281276538_nat_o: ( product_prod_o_nat > $o ) > set_Pr2101469702781467981_o_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      image_4888532181312399726at_nat: ( product_prod_o_nat > nat ) > set_Pr2101469702781467981_o_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J_001_Eo,type,
% 3.29/3.48      image_8742399529945250561unit_o: ( produc3788275437394581276t_unit > $o ) > set_Pr6671815714118170108t_unit > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_4419268941131634678t_unit: ( produc3788275437394581276t_unit > product_unit ) > set_Pr6671815714118170108t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_17660834435998945t_unit: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > set_Pr1133966238863718811t_unit > set_he8644174446132254637t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      image_7136766188234240905_ref_a: ( produc7812382424243267045t_unit > ref_a ) > set_Pr1133966238863718811t_unit > set_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_1531683682067511245nt_int: ( produc7812382424243267045t_unit > product_prod_int_int ) > set_Pr1133966238863718811t_unit > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_4710180989675653397at_nat: ( produc7812382424243267045t_unit > product_prod_nat_nat ) > set_Pr1133966238863718811t_unit > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_M_Eo_J_001t__Int__Oint,type,
% 3.29/3.48      image_90517134139374612_o_int: ( product_prod_int_o > int ) > set_Pr903927857289325719_int_o > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001_Eo,type,
% 3.29/3.48      image_2135063354759101220_int_o: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Int__Oint,type,
% 3.29/3.48      image_5042161079198086560nt_int: ( product_prod_int_int > int ) > set_Pr958786334691620121nt_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Nat__Onat,type,
% 3.29/3.48      image_5044651549707136836nt_nat: ( product_prod_int_int > nat ) > set_Pr958786334691620121nt_int > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_2653370878348428101nt_int: ( product_prod_int_int > product_prod_int_int ) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_6831221897857624809nt_nat: ( product_prod_int_int > product_prod_int_nat ) > set_Pr958786334691620121nt_int > set_Pr3448869479623346877nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      image_1654017166447373545at_int: ( product_prod_int_int > product_prod_nat_int ) > set_Pr958786334691620121nt_int > set_Pr7995236796853374141at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_5831868185956570253at_nat: ( product_prod_int_int > product_prod_nat_nat ) > set_Pr958786334691620121nt_int > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      image_6540112122905407959at_num: ( product_prod_int_int > product_prod_nat_num ) > set_Pr958786334691620121nt_int > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_8858061497167895027at_nat: ( product_prod_int_int > produc859450856879609959at_nat ) > set_Pr958786334691620121nt_int > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_6029125644611338739at_nat: ( product_prod_int_int > produc3843707927480180839at_nat ) > set_Pr958786334691620121nt_int > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      image_2855239504505064772at_int: ( product_prod_int_nat > int ) > set_Pr3448869479623346877nt_nat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_7928304878501623365nt_nat: ( product_prod_int_nat > product_prod_int_nat ) > set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_4420076320108226637nt_rat: ( product_prod_int_nat > product_prod_int_rat ) > set_Pr3448869479623346877nt_nat > set_Pr6292255179000445125nt_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      image_2751100147091372101at_int: ( product_prod_int_nat > product_prod_nat_int ) > set_Pr3448869479623346877nt_nat > set_Pr7995236796853374141at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_3420722608207172081at_rat: ( product_prod_int_nat > product_prod_nat_rat ) > set_Pr3448869479623346877nt_nat > set_Pr4105333604307423337at_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Int__Oint_Mt__Product____Type__Ounit_J_001t__Int__Oint,type,
% 3.29/3.48      image_7716461468295075337it_int: ( produc6865911496949736918t_unit > int ) > set_Pr5889264611543340172t_unit > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001_Eo,type,
% 3.29/3.48      image_7478392465989118804at_o_o: ( product_prod_nat_o > $o ) > set_Pr3149072824959771635_nat_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J_001t__Nat__Onat,type,
% 3.29/3.48      image_8629803608462650132_o_nat: ( product_prod_nat_o > nat ) > set_Pr3149072824959771635_nat_o > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_893334214595316897nt_int: ( product_prod_nat_int > product_prod_int_int ) > set_Pr7995236796853374141at_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_5071185234104513605nt_nat: ( product_prod_nat_int > product_prod_int_nat ) > set_Pr7995236796853374141at_int > set_Pr3448869479623346877nt_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      image_9117352539549038149at_int: ( product_prod_nat_int > product_prod_nat_int ) > set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Int__Oint_J,type,
% 3.29/3.48      image_8800797895614172237at_int: ( product_prod_nat_int > product_prod_rat_int ) > set_Pr7995236796853374141at_int > set_Pr3594552606344371909at_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J_001t__Product____Type__Oprod_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_3755276878268593137at_nat: ( product_prod_nat_int > product_prod_rat_nat ) > set_Pr7995236796853374141at_int > set_Pr6084635751276098665at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      image_3693632289388996572_nat_o: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      image_2483585944268220136at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      image_2486076414777270412at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_1990417195239315453nt_int: ( product_prod_nat_nat > product_prod_int_int ) > set_Pr1261947904930325089at_nat > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_5168914502847457605at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      image_5877158439796295311at_num: ( product_prod_nat_nat > product_prod_nat_num ) > set_Pr1261947904930325089at_nat > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_1119892238107900587at_nat: ( product_prod_nat_nat > produc859450856879609959at_nat ) > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_6169909464789311569t_unit: ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_501298686397505212_set_o: ( product_prod_nat_nat > set_o ) > set_Pr1261947904930325089at_nat > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_15824709712370754et_nat: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_5423882813909314213at_nat: ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_5803077947706746251at_nat: ( product_prod_nat_nat > set_Pr8693737435421807431at_nat ) > set_Pr1261947904930325089at_nat > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_121980125215734065t_unit: ( product_prod_nat_nat > set_Product_unit ) > set_Pr1261947904930325089at_nat > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001_Eo,type,
% 3.29/3.48      image_4451812852358507538_num_o: ( product_prod_nat_num > $o ) > set_Pr6200539531224447659at_num > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Int__Oint,type,
% 3.29/3.48      image_4501981038234393650um_int: ( product_prod_nat_num > int ) > set_Pr6200539531224447659at_num > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Nat__Onat,type,
% 3.29/3.48      image_4504471508743443926um_nat: ( product_prod_nat_num > nat ) > set_Pr6200539531224447659at_num > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_1039142661021589043nt_int: ( product_prod_nat_num > product_prod_int_int ) > set_Pr6200539531224447659at_num > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_4217639968629731195at_nat: ( product_prod_nat_num > product_prod_nat_nat ) > set_Pr6200539531224447659at_num > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      image_4925883905578568901at_num: ( product_prod_nat_num > product_prod_nat_num ) > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_2347970371937200581um_nat: ( product_prod_nat_num > product_prod_num_nat ) > set_Pr6200539531224447659at_num > set_Pr3280342998896498603um_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_2708129733610033121at_nat: ( product_prod_nat_num > produc3843707927480180839at_nat ) > set_Pr6200539531224447659at_num > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J_001t__Nat__Onat,type,
% 3.29/3.48      image_3884712837920099081it_nat: ( produc526117512892780850t_unit > nat ) > set_Pr4334478416066269672t_unit > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_5511522805742971924t_unit: ( produc526117512892780850t_unit > product_unit ) > set_Pr4334478416066269672t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      image_7762062833379733445at_num: ( product_prod_num_nat > product_prod_nat_num ) > set_Pr3280342998896498603um_nat > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_Eo,type,
% 3.29/3.48      image_3275415580317762038_nat_o: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Nat__Onat,type,
% 3.29/3.48      image_6160980552072806642at_nat: ( produc859450856879609959at_nat > nat ) > set_Pr8693737435421807431at_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_6706873702294942047at_nat: ( produc859450856879609959at_nat > product_prod_nat_nat ) > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_6321802852832981957at_nat: ( produc859450856879609959at_nat > produc859450856879609959at_nat ) > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_7637461350386011077at_nat: ( produc859450856879609959at_nat > produc3843707927480180839at_nat ) > set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_8487516615895632747t_unit: ( produc859450856879609959at_nat > product_unit ) > set_Pr8693737435421807431at_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_2819269535336293544et_nat: ( produc859450856879609959at_nat > set_nat ) > set_Pr8693737435421807431at_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_1384942819424619199at_nat: ( produc859450856879609959at_nat > set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_6654316230217496229at_nat: ( produc859450856879609959at_nat > set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_3876558564303283877at_nat: ( produc859450856879609959at_nat > set_Pr4329608150637261639at_nat ) > set_Pr8693737435421807431at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J_001_Eo,type,
% 3.29/3.48      image_1801747192096393899it_o_o: ( produc7485711547916492274unit_o > $o ) > set_Pr5464989305201766866unit_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_4246157487713968288t_unit: ( produc7485711547916492274unit_o > product_unit ) > set_Pr5464989305201766866unit_o > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      image_6725568594985674851at_nat: ( produc600557818389255820it_nat > nat ) > set_Pr1763845938948868674it_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_7474191388529947450t_unit: ( produc600557818389255820it_nat > product_unit ) > set_Pr1763845938948868674it_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_262127665112854123t_unit: ( produc8459935480633519975t_unit > product_unit ) > set_Pr5094982260447487303t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      image_8033574621161215657at_num: ( produc3843707927480180839at_nat > product_prod_nat_num ) > set_Pr4329608150637261639at_nat > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_5653576389946358725at_nat: ( produc3843707927480180839at_nat > produc859450856879609959at_nat ) > set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_960689587819713477at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_7082456443403096939t_unit: ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_3160451284896210088et_nat: ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_7979982168039674559at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_7260680879217540773at_nat: ( produc3843707927480180839at_nat > set_Pr8693737435421807431at_nat ) > set_Pr4329608150637261639at_nat > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_7364710425340685989at_nat: ( produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      image_3313167189156628421at_nat: ( produc1319942482725812455at_nat > produc1319942482725812455at_nat ) > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_2699825501378146573ar_rat: ( produc3922234789054302210ar_nat > produc414006230660905482ar_rat ) > set_Pr1413074515586503650ar_nat > set_Pr4256460214963601898ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J,type,
% 3.29/3.48      image_5973708714899544198r_char: ( produc3922234789054302210ar_nat > produc143505574896075907r_char ) > set_Pr1413074515586503650ar_nat > set_Pr3309569728657787619r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Int__Oint_J,type,
% 3.29/3.48      image_4975014655635759961ar_int: ( produc414006230660905482ar_rat > produc8967755806399881310ar_int ) > set_Pr4256460214963601898ar_rat > set_Pr8146363407509552702ar_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_9152865675144956669ar_nat: ( produc414006230660905482ar_rat > produc3922234789054302210ar_nat ) > set_Pr4256460214963601898ar_rat > set_Pr1413074515586503650ar_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_5644637116751559941ar_rat: ( produc414006230660905482ar_rat > produc414006230660905482ar_rat ) > set_Pr4256460214963601898ar_rat > set_Pr4256460214963601898ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J,type,
% 3.29/3.48      image_8036680598759533694r_char: ( produc414006230660905482ar_rat > produc143505574896075907r_char ) > set_Pr4256460214963601898ar_rat > set_Pr3309569728657787619r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Int__Oint_J,type,
% 3.29/3.48      image_6605449789044937888ar_int: ( produc143505574896075907r_char > produc8967755806399881310ar_int ) > set_Pr3309569728657787619r_char > set_Pr8146363407509552702ar_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_1559928771699358788ar_nat: ( produc143505574896075907r_char > produc3922234789054302210ar_nat ) > set_Pr3309569728657787619r_char > set_Pr1413074515586503650ar_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__Rat__Orat_J,type,
% 3.29/3.48      image_7275072250160737868ar_rat: ( produc143505574896075907r_char > produc414006230660905482ar_rat ) > set_Pr3309569728657787619r_char > set_Pr4256460214963601898ar_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J_001t__Product____Type__Oprod_It__String__Ochar_Mt__String__Ochar_J,type,
% 3.29/3.48      image_7676512070627423941r_char: ( produc143505574896075907r_char > produc143505574896075907r_char ) > set_Pr3309569728657787619r_char > set_Pr3309569728657787619r_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      image_Product_unit_o: ( product_unit > $o ) > set_Product_unit > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Int__Oint,type,
% 3.29/3.48      image_873079544045703924it_int: ( product_unit > int ) > set_Product_unit > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      image_875570014554754200it_nat: ( product_unit > nat ) > set_Product_unit > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_405062704495631173t_unit: ( product_unit > product_unit ) > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Rat__Orat,type,
% 3.29/3.48      image_240439954468258464it_rat: ( product_unit > rat ) > set_Product_unit > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_6930536745178679216_set_o: ( product_unit > set_o ) > set_Product_unit > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_3995998972318789802et_int: ( product_unit > set_int ) > set_Product_unit > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_8173849991827986510et_nat: ( product_unit > set_nat ) > set_Product_unit > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_3617315916088684441at_nat: ( product_unit > set_Pr1261947904930325089at_nat ) > set_Product_unit > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_7288820656315755647at_nat: ( product_unit > set_Pr8693737435421807431at_nat ) > set_Product_unit > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_5172358348707908735at_nat: ( product_unit > set_Pr4329608150637261639at_nat ) > set_Product_unit > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_7778121751606633509t_unit: ( product_unit > set_Product_unit ) > set_Product_unit > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      image_4665621433434589782et_rat: ( product_unit > set_rat ) > set_Product_unit > set_set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__Set__Oset_It__String__Ochar_J,type,
% 3.29/3.48      image_5325685772115642575t_char: ( product_unit > set_char ) > set_Product_unit > set_set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Product____Type__Ounit_001t__String__Ochar,type,
% 3.29/3.48      image_7248553556944771225t_char: ( product_unit > char ) > set_Product_unit > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001_Eo,type,
% 3.29/3.48      image_rat_o: ( rat > $o ) > set_rat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      image_rat_int: ( rat > int ) > set_rat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      image_rat_nat: ( rat > nat ) > set_rat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_5997455970908365082nt_int: ( rat > product_prod_int_int ) > set_rat > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_9175953278516507234at_nat: ( rat > product_prod_nat_nat ) > set_rat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_2327579789247107822t_unit: ( rat > product_unit ) > set_rat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      image_rat_rat: ( rat > rat ) > set_rat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_rat_set_nat: ( rat > set_nat ) > set_rat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      image_rat_char: ( rat > char ) > set_rat > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_I_Eo_J_001_062_I_Eo_M_Eo_J,type,
% 3.29/3.48      image_set_o_o_o: ( set_o > $o > $o ) > set_set_o > set_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_I_Eo_J_001_Eo,type,
% 3.29/3.48      image_set_o_o: ( set_o > $o ) > set_set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_I_Eo_J_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      image_set_o_set_o: ( set_o > set_o ) > set_set_o > set_set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Int__Oint_J_001_062_It__Int__Oint_M_Eo_J,type,
% 3.29/3.48      image_set_int_int_o: ( set_int > int > $o ) > set_set_int > set_int_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Int__Oint_J_001_Eo,type,
% 3.29/3.48      image_set_int_o: ( set_int > $o ) > set_set_int > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_524474410958335435et_int: ( set_int > set_int ) > set_set_int > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Int__Oint_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_4702325430467532143et_nat: ( set_int > set_nat ) > set_set_int > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001_062_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.48      image_set_nat_nat_o: ( set_nat > nat > $o ) > set_set_nat > set_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      image_set_nat_o: ( set_nat > $o ) > set_set_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_6369283972875870912t_unit: ( set_nat > product_unit ) > set_set_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      image_3739036796817536367et_int: ( set_nat > set_int ) > set_set_nat > set_set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_7916887816326733075et_nat: ( set_nat > set_nat ) > set_set_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_6521575952113991828at_nat: ( set_nat > set_Pr1261947904930325089at_nat ) > set_set_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Rat__Orat_J,type,
% 3.29/3.48      image_4408659257933336347et_rat: ( set_nat > set_rat ) > set_set_nat > set_set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
% 3.29/3.48      image_4446226961036766042_int_o: ( set_Pr958786334691620121nt_int > int > int > $o ) > set_se6260736226359567993nt_int > set_int_int_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J_001_Eo,type,
% 3.29/3.48      image_701744273176368580_int_o: ( set_Pr958786334691620121nt_int > $o ) > set_se6260736226359567993nt_int > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
% 3.29/3.48      image_6923511907955291850_nat_o: ( set_Pr1261947904930325089at_nat > nat > nat > $o ) > set_se7855581050983116737at_nat > set_nat_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_062_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.48      image_5253903537071781336_nat_o: ( set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o ) > set_se7855581050983116737at_nat > set_Pr5582243495563764594_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001_Eo,type,
% 3.29/3.48      image_7457375456213313148_nat_o: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      image_5853224409075402146et_nat: ( set_Pr1261947904930325089at_nat > set_nat ) > set_se7855581050983116737at_nat > set_set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      image_3684629450409544005at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_6898982319499645995at_nat: ( set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat ) > set_se7855581050983116737at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J_J_001_062_It__Nat__Onat_M_062_It__Num__Onum_M_Eo_J_J,type,
% 3.29/3.48      image_2055017250723459638_num_o: ( set_Pr6200539531224447659at_num > nat > num > $o ) > set_se4826145725398303499at_num > set_nat_num_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      image_1013614488123988933at_nat: ( set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ) > set_se6425085446898223655at_nat > set_se6425085446898223655at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001_062_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_M_Eo_J,type,
% 3.29/3.48      image_4859512832475012440_nat_o: ( set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o ) > set_se5479201105039950375at_nat > set_Pr7010166363911110284_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_M_Eo_J_J,type,
% 3.29/3.48      image_6595146019508340652_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_se5479201105039950375at_nat > set_se9180647916752606350_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001_Eo,type,
% 3.29/3.48      image_3568060456209098518_nat_o: ( set_Pr4329608150637261639at_nat > $o ) > set_se5479201105039950375at_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      image_4303274092540115909at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J,type,
% 3.29/3.48      image_1124969593608450885at_nat: ( set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat ) > set_se5479201105039950375at_nat > set_se7592288975875140775at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_062_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_M_Eo_J_J,type,
% 3.29/3.48      image_5337237954834410540_nat_o: ( set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_se7592288975875140775at_nat > set_se7255092946006855566_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Set__Oset_It__Product____Type__Ounit_J_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      image_4019945301284682565t_unit: ( set_Product_unit > set_Product_unit ) > set_set_Product_unit > set_set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001_Eo,type,
% 3.29/3.48      image_char_o: ( char > $o ) > set_char > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      image_char_int: ( char > int ) > set_char > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      image_char_nat: ( char > nat ) > set_char > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      image_5204326662208377313nt_int: ( char > product_prod_int_int ) > set_char > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      image_8382823969816519465at_nat: ( char > product_prod_nat_nat ) > set_char > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__Product____Type__Ounit,type,
% 3.29/3.48      image_4337914935673063477t_unit: ( char > product_unit ) > set_char > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      image_char_rat: ( char > rat ) > set_char > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      image_char_char: ( char > char ) > set_char > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oimage_001t__Sum____Type__Osum_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      image_1320371278474632150at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001_Eo,type,
% 3.29/3.48      insert_o: $o > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      insert8563697753282147485t_unit: heap_e7401611519738050253t_unit > set_he8644174446132254637t_unit > set_he8644174446132254637t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      insert_ref_a: ref_a > set_ref_a > set_ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Int__Oint,type,
% 3.29/3.48      insert_int: int > set_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Nat__Onat,type,
% 3.29/3.48      insert_nat: nat > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Num__Onum,type,
% 3.29/3.48      insert_num: num > set_num > set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_I_Eo_M_Eo_J,type,
% 3.29/3.48      insert6201435330877294327od_o_o: product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J,type,
% 3.29/3.48      insert7948214739558299847_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      insert9112848208840649964t_unit: produc3788275437394581276t_unit > set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      insert5033312907999012233nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.48      insert2233377226759017069_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      insert8920054152555992091at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      insert6804906068341198690t_unit: produc526117512892780850t_unit > set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      insert5050368324300391991at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      insert5475735164933346999at_nat: produc349518998152878311at_nat > set_Pr553994874890374343at_nat > set_Pr553994874890374343at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      insert398606708087465655at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Ounit_M_Eo_J,type,
% 3.29/3.48      insert3586912282507785154unit_o: produc7485711547916492274unit_o > set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Nat__Onat_J,type,
% 3.29/3.48      insert6879346373837673660it_nat: produc600557818389255820it_nat > set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      insert4616891024742550839t_unit: produc8459935480633519975t_unit > set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      insert291458823148189367at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Product____Type__Ounit,type,
% 3.29/3.48      insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Rat__Orat,type,
% 3.29/3.48      insert_rat: rat > set_rat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Oinsert_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      insert2290795007606087959at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Othe__elem_001t__Int__Oint,type,
% 3.29/3.48      the_elem_int: set_int > int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Othe__elem_001t__Nat__Onat,type,
% 3.29/3.48      the_elem_nat: set_nat > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Othe__elem_001t__Rat__Orat,type,
% 3.29/3.48      the_elem_rat: set_rat > rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      vimage4289680085338140859nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Pr4111642102156807771nteger > set_Co726186806682698383nteger ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001_Eo,type,
% 3.29/3.48      vimage_o_o: ( $o > $o ) > set_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      vimage_o_nat: ( $o > nat ) > set_nat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__Product____Type__Oprod_I_Eo_M_Eo_J,type,
% 3.29/3.48      vimage8945963521958007626od_o_o: ( $o > product_prod_o_o ) > set_Product_prod_o_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__Product____Type__Oprod_It__Int__Oint_M_Eo_J,type,
% 3.29/3.48      vimage4304346610107161470_int_o: ( $o > product_prod_int_o ) > set_Pr903927857289325719_int_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.48      vimage6125388955539849434_nat_o: ( $o > product_prod_nat_o ) > set_Pr3149072824959771635_nat_o > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__Product____Type__Ounit,type,
% 3.29/3.48      vimage4222377557387472176t_unit: ( $o > product_unit ) > set_Product_unit > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__Rat__Orat,type,
% 3.29/3.48      vimage_o_rat: ( $o > rat ) > set_rat > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001_Eo_001t__String__Ochar,type,
% 3.29/3.48      vimage_o_char: ( $o > char ) > set_char > set_o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Code____Numeral__Ointeger_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      vimage6029918387083761651nteger: ( code_integer > code_integer > code_integer ) > set_Co726186806682698383nteger > set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Code____Numeral__Ointeger_001_062_It__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_Mt__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_J,type,
% 3.29/3.48      vimage6839621282666897215nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Pr4111642102156807771nteger > set_Code_integer ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      vimage_int_int: ( int > int ) > set_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      vimage_int_nat: ( int > nat ) > set_nat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Int__Oint_001t__Num__Onum,type,
% 3.29/3.48      vimage_int_num: ( int > num ) > set_num > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Int__Oint_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      vimage7872673496510460816nt_int: ( int > product_prod_int_int ) > set_Pr958786334691620121nt_int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage1827798767263827160at_nat: ( int > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__List__Olist_It__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage8527374361057053988at_nat: ( list_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_list_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      vimage_nat_o: ( nat > $o ) > set_o > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      vimage_nat_int: ( nat > int ) > set_int > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      vimage_nat_num: ( nat > num ) > set_num > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage5656379182745576100_o_nat: ( nat > product_prod_o_nat ) > set_Pr2101469702781467981_o_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage9012682431555523728nt_nat: ( nat > product_prod_int_nat ) > set_Pr3448869479623346877nt_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage8013328719654469172at_nat: ( nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      vimage6435164912253009178at_nat: ( nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Product____Type__Ounit,type,
% 3.29/3.48      vimage4884490618288580032t_unit: ( nat > product_unit ) > set_Product_unit > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      vimage_nat_rat: ( nat > rat ) > set_rat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      vimage_nat_char: ( nat > char ) > set_char > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Num__Onum_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      vimage5436458796434496692at_num: ( num > product_prod_nat_num ) > set_Pr6200539531224447659at_num > set_num ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      vimage6116673589273818795t_unit: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > set_he8644174446132254637t_unit > set_Pr1133966238863718811t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      vimage2910454108108208703_ref_a: ( produc7812382424243267045t_unit > ref_a ) > set_ref_a > set_Pr1133966238863718811t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001_Eo,type,
% 3.29/3.48      vimage2444243245536687506_nat_o: ( product_prod_nat_nat > $o ) > set_o > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      vimage1024995831485383111t_unit: ( product_prod_nat_nat > heap_e7401611519738050253t_unit ) > set_he8644174446132254637t_unit > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      vimage7322659125625010723_ref_a: ( product_prod_nat_nat > ref_a ) > set_ref_a > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      vimage4650790856102703794at_int: ( product_prod_nat_nat > int ) > set_int > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Nat__Onat,type,
% 3.29/3.48      vimage4653281326611754070at_nat: ( product_prod_nat_nat > nat ) > set_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      vimage4308919176130087787t_unit: ( product_prod_nat_nat > produc7812382424243267045t_unit ) > set_Pr1133966238863718811t_unit > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage2449269961533847803at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Ounit,type,
% 3.29/3.48      vimage3104651464403166471t_unit: ( product_prod_nat_nat > product_unit ) > set_Product_unit > set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      vimage8808348054653608838unit_o: ( product_unit > $o ) > set_o > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__Nat__Onat,type,
% 3.29/3.48      vimage6253328473476588386it_nat: ( product_unit > nat ) > set_nat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__Product____Type__Oprod_I_Eo_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      vimage508909887551888138t_unit: ( product_unit > produc3788275437394581276t_unit ) > set_Pr6671815714118170108t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__Product____Type__Oprod_It__Int__Oint_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      vimage4422279681566046568t_unit: ( product_unit > produc6865911496949736918t_unit ) > set_Pr5889264611543340172t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      vimage7305857734363866308t_unit: ( product_unit > produc526117512892780850t_unit ) > set_Pr4334478416066269672t_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__Product____Type__Ounit,type,
% 3.29/3.48      vimage7995052115951654139t_unit: ( product_unit > product_unit ) > set_Product_unit > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__Rat__Orat,type,
% 3.29/3.48      vimage5618198413390092650it_rat: ( product_unit > rat ) > set_rat > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Product____Type__Ounit_001t__String__Ochar,type,
% 3.29/3.48      vimage2648087219933717859t_char: ( product_unit > char ) > set_char > set_Product_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Rat__Orat_001t__Int__Oint,type,
% 3.29/3.48      vimage_rat_int: ( rat > int ) > set_int > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      vimage_rat_nat: ( rat > nat ) > set_nat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Rat__Orat_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage2119786153496215084at_nat: ( rat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Rat__Orat_001t__Rat__Orat,type,
% 3.29/3.48      vimage_rat_rat: ( rat > rat ) > set_rat > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__Rat__Orat_001t__String__Ochar,type,
% 3.29/3.48      vimage_rat_char: ( rat > char ) > set_char > set_rat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__String__Ochar_001t__Int__Oint,type,
% 3.29/3.48      vimage_char_int: ( char > int ) > set_int > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__String__Ochar_001t__Nat__Onat,type,
% 3.29/3.48      vimage_char_nat: ( char > nat ) > set_nat > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__String__Ochar_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      vimage8942442433166402803at_nat: ( char > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__String__Ochar_001t__Rat__Orat,type,
% 3.29/3.48      vimage_char_rat: ( char > rat ) > set_rat > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set_Ovimage_001t__String__Ochar_001t__String__Ochar,type,
% 3.29/3.48      vimage_char_char: ( char > char ) > set_char > set_char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Int__Oint,type,
% 3.29/3.48      set_or1266510415728281911st_int: int > int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OatLeastAtMost_001t__Nat__Onat,type,
% 3.29/3.48      set_or1269000886237332187st_nat: nat > nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Int__Oint,type,
% 3.29/3.48      set_or4662586982721622107an_int: int > int > set_int ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Nat__Onat,type,
% 3.29/3.48      set_or4665077453230672383an_nat: nat > nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OatLeast_001t__Nat__Onat,type,
% 3.29/3.48      set_ord_atLeast_nat: nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OatMost_001t__Nat__Onat,type,
% 3.29/3.48      set_ord_atMost_nat: nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Nat__Onat,type,
% 3.29/3.48      set_or1210151606488870762an_nat: nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Set__Interval_Oord__class_OlessThan_001t__Nat__Onat,type,
% 3.29/3.48      set_ord_lessThan_nat: nat > set_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_String_Ocomm__semiring__1__class_Oof__char_001t__Nat__Onat,type,
% 3.29/3.48      comm_s629917340098488124ar_nat: char > nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_String_Ounique__euclidean__semiring__with__bit__operations__class_Ochar__of_001t__Nat__Onat,type,
% 3.29/3.48      unique3096191561947761185of_nat: nat > char ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      left_t2884206969071330nteger: ( code_integer > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.48      left_t1735413524555719857er_int: ( code_integer > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      left_t2374113004080657585nteger: ( int > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      left_total_int_int: ( int > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      left_t8261381459436684205at_nat: ( int > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      left_t1861001511420785031at_int: ( product_prod_nat_nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__total_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      left_t5646938096895998950at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.48      left_u6156896403773009178er_int: ( code_integer > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      left_u6795595883297946906nteger: ( int > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      left_unique_int_int: ( int > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      left_u1182257597767569412at_nat: ( int > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      left_unique_nat_nat: ( nat > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      left_unique_num_num: ( num > num > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      left_u4005249686606446046at_int: ( product_prod_nat_nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oleft__unique_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      left_u7296345956935681743at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__total_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      right_7281159819619925802nteger: ( int > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__total_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      right_total_int_int: ( int > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__total_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      right_total_nat_nat: ( nat > nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__total_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      right_total_num_num: ( num > num > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__total_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      right_1157779049177982926at_int: ( product_prod_nat_nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__total_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      right_4094035864313884895at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__unique_001t__Code____Numeral__Ointeger_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      right_5866438497372881682nteger: ( code_integer > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__unique_001t__Code____Numeral__Ointeger_001t__Int__Oint,type,
% 3.29/3.48      right_7836862732553076961er_int: ( code_integer > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__unique_001t__Int__Oint_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      right_8475562212078014689nteger: ( int > code_integer > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__unique_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      right_unique_int_int: ( int > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__unique_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      right_8621877368619751767at_int: ( product_prod_nat_nat > int > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Transfer_Oright__unique_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      right_1383565826979811350at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001_Eo_001_Eo,type,
% 3.29/3.48      type_definition_o_o: ( $o > $o ) > ( $o > $o ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001_Eo_001t__Nat__Onat,type,
% 3.29/3.48      type_d7121381646445849148_o_nat: ( $o > nat ) > ( nat > $o ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001_Eo_001t__Num__Onum,type,
% 3.29/3.48      type_d3678713432601627782_o_num: ( $o > num ) > ( num > $o ) > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001_Eo_001t__Rat__Orat,type,
% 3.29/3.48      type_d6486251586359353412_o_rat: ( $o > rat ) > ( rat > $o ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001_Eo_001t__String__Ochar,type,
% 3.29/3.48      type_d9076672964931703357o_char: ( $o > char ) > ( char > $o ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Int__Oint_001_Eo,type,
% 3.29/3.48      type_d8403010662121346494_int_o: ( int > $o ) > ( $o > int ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Int__Oint_001t__Int__Oint,type,
% 3.29/3.48      type_d7247357190169752966nt_int: ( int > int ) > ( int > int ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Int__Oint_001t__Nat__Onat,type,
% 3.29/3.48      type_d7249847660678803242nt_nat: ( int > nat ) > ( nat > int ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Int__Oint_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      type_d7732240953928457511at_nat: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Nat__Onat_001_Eo,type,
% 3.29/3.48      type_d1000680970699258650_nat_o: ( nat > $o ) > ( $o > nat ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Nat__Onat_001t__Int__Oint,type,
% 3.29/3.48      type_d6248003478268698410at_int: ( nat > int ) > ( int > nat ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      type_d6250493948777748686at_nat: ( nat > nat ) > ( nat > nat ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Nat__Onat_001t__Num__Onum,type,
% 3.29/3.48      type_d2807825734933527320at_num: ( nat > num ) > ( num > nat ) > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Nat__Onat_001t__Rat__Orat,type,
% 3.29/3.48      type_d5615363888691252950at_rat: ( nat > rat ) > ( rat > nat ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Nat__Onat_001t__String__Ochar,type,
% 3.29/3.48      type_d5945782884131516111t_char: ( nat > char ) > ( char > nat ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Num__Onum_001_Eo,type,
% 3.29/3.48      type_d9070036042389994064_num_o: ( num > $o ) > ( $o > num ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Num__Onum_001t__Nat__Onat,type,
% 3.29/3.48      type_d4380824352085218072um_nat: ( num > nat ) > ( nat > num ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Num__Onum_001t__Num__Onum,type,
% 3.29/3.48      type_d938156138240996706um_num: ( num > num ) > ( num > num ) > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Num__Onum_001t__Rat__Orat,type,
% 3.29/3.48      type_d3745694291998722336um_rat: ( num > rat ) > ( rat > num ) > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Num__Onum_001t__String__Ochar,type,
% 3.29/3.48      type_d4396077731765706521m_char: ( num > char ) > ( char > num ) > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Int__Oint,type,
% 3.29/3.48      type_d1331861005912558337at_int: ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      type_d281131942595027436at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Product____Type__Ounit_001_Eo,type,
% 3.29/3.48      type_d6188575255521822967unit_o: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Typedef_Otype__definition_001t__Rat__Orat_001t__Nat__Onat,type,
% 3.29/3.48      type_d5933939304842882774at_nat: ( rat > nat ) > ( nat > rat ) > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Oaccp_001t__Nat__Onat,type,
% 3.29/3.48      accp_nat: ( nat > nat > $o ) > nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Oless__than,type,
% 3.29/3.48      less_than: set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Olex__prod_001t__Nat__Onat_001t__Nat__Onat,type,
% 3.29/3.48      lex_prod_nat_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Omax__ext_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Omin__ext_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Opred__nat,type,
% 3.29/3.48      pred_nat: set_Pr1261947904930325089at_nat ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Owf_001t__Nat__Onat,type,
% 3.29/3.48      wf_nat: set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_Wellfounded_Owf_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      wf_Pro7803398752247294826at_nat: set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_I_Eo_M_Eo_J,type,
% 3.29/3.48      member_o_o: ( $o > $o ) > set_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_I_Eo_Mt__Nat__Onat_J,type,
% 3.29/3.48      member_o_nat: ( $o > nat ) > set_o_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_I_Eo_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      member2370919827131729009t_unit: ( $o > product_unit ) > set_o_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      member2790140394383616496nteger: ( code_integer > code_integer ) > set_Co726186806682698383nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      member254662033361028077nt_int: ( int > product_prod_int_int ) > set_in6154042108061588260nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member557823603599733045at_nat: ( int > product_prod_nat_nat ) > set_in7748886932685137004at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Int__Oint_Mt__Product____Type__Oprod_It__Num__Onum_Mt__Num__Onum_J_J,type,
% 3.29/3.48      member7514810323860029129um_num: ( int > product_prod_num_num ) > set_in3169746454734514176um_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__List__Olist_It__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member3963856813518191233at_nat: ( list_nat > product_prod_nat_nat ) > set_li2168235667650531768at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      member_nat_int: ( nat > int ) > set_nat_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      member6440191985751670089nt_int: ( nat > product_prod_int_int ) > set_na7251125088705586816nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Nat__Onat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member6743353555990375057at_nat: ( nat > product_prod_nat_nat ) > set_na8845969913329135560at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Rat__Orat_M_Eo_J,type,
% 3.29/3.48      member_rat_o: ( rat > $o ) > set_rat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Rat__Orat_Mt__Nat__Onat_J,type,
% 3.29/3.48      member_rat_nat: ( rat > nat ) > set_rat_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      member546649419593416001nt_int: ( rat > product_prod_int_int ) > set_ra518564293221149304nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Rat__Orat_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member849810989832120969at_nat: ( rat > product_prod_nat_nat ) > set_ra2113409117844698048at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__Rat__Orat_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      member7011034171605722901t_unit: ( rat > product_unit ) > set_rat_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__String__Ochar_M_Eo_J,type,
% 3.29/3.48      member_char_o: ( char > $o ) > set_char_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__String__Ochar_Mt__Nat__Onat_J,type,
% 3.29/3.48      member_char_nat: ( char > nat ) > set_char_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      member2992454361780672008nt_int: ( char > product_prod_int_int ) > set_ch6383161263842509759nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__String__Ochar_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member3295615932019376976at_nat: ( char > product_prod_nat_nat ) > set_ch7978006088466058503at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_062_It__String__Ochar_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      member379592906918970460t_unit: ( char > product_unit ) > set_ch7814610555394875923t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001_Eo,type,
% 3.29/3.48      member_o: $o > set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Code____Numeral__Ointeger,type,
% 3.29/3.48      member_Code_integer: code_integer > set_Code_integer > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J,type,
% 3.29/3.48      member242389114213480694t_unit: heap_e7401611519738050253t_unit > set_he8644174446132254637t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Heap__Oref_Itf__a_J,type,
% 3.29/3.48      member_ref_a: ref_a > set_ref_a > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Int__Oint,type,
% 3.29/3.48      member_int: int > set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Nat__Onat,type,
% 3.29/3.48      member_nat: nat > set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Num__Onum,type,
% 3.29/3.48      member_num: num > set_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_I_Eo_M_Eo_J,type,
% 3.29/3.48      member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_I_Eo_Mt__Int__Oint_J,type,
% 3.29/3.48      member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_I_Eo_Mt__Nat__Onat_J,type,
% 3.29/3.48      member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Heap__Oref_Itf__a_J_Mt__Heap__Oheap__Oheap____ext_It__Product____Type__Ounit_J_J,type,
% 3.29/3.48      member7849944260330398460t_unit: produc7812382424243267045t_unit > set_Pr1133966238863718811t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_M_Eo_J,type,
% 3.29/3.48      member4489920277610959864_int_o: product_prod_int_o > set_Pr903927857289325719_int_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Code____Numeral__Ointeger_J,type,
% 3.29/3.48      member4345257455949424659nteger: produc2963269191615333738nteger > set_Pr8415741480598773322nteger > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
% 3.29/3.48      member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Nat__Onat_J,type,
% 3.29/3.48      member216504246829706758nt_nat: product_prod_int_nat > set_Pr3448869479623346877nt_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_M_Eo_J,type,
% 3.29/3.48      member6310962623043647828_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Int__Oint_J,type,
% 3.29/3.48      member4262671552274231302at_int: product_prod_nat_int > set_Pr7995236796853374141at_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
% 3.29/3.48      member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Num__Onum_J,type,
% 3.29/3.48      member9148766508732265716at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Num__Onum_Mt__Nat__Onat_J,type,
% 3.29/3.48      member6570852975090897396um_nat: product_prod_num_nat > set_Pr3280342998896498603um_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_Mt__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
% 3.29/3.48      member8566619992076573584nt_int: produc1219242969750017639nt_int > set_Pr2560585780119916871nt_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_M_Eo_J,type,
% 3.29/3.48      member2200362271989506215_nat_o: produc652263959640188542_nat_o > set_Pr6558897299634722526_nat_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Int__Oint_J,type,
% 3.29/3.48      member8394280151737582451at_int: produc4196048018000912732at_int > set_Pr49084382684228242at_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Ounit_Mt__Product____Type__Ounit_J,type,
% 3.29/3.48      member7821138191923116944t_unit: produc8459935480633519975t_unit > set_Pr5094982260447487303t_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J,type,
% 3.29/3.48      member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_J,type,
% 3.29/3.48      member1466754251312161552at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Product____Type__Ounit,type,
% 3.29/3.48      member_Product_unit: product_unit > set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Rat__Orat,type,
% 3.29/3.48      member_rat: rat > set_rat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Set__Oset_I_Eo_J,type,
% 3.29/3.48      member_set_o: set_o > set_set_o > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Set__Oset_It__Int__Oint_J,type,
% 3.29/3.48      member_set_int: set_int > set_set_int > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Set__Oset_It__Nat__Onat_J,type,
% 3.29/3.48      member_set_nat: set_nat > set_set_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
% 3.29/3.48      member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J,type,
% 3.29/3.48      member6273874620674182256at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__Set__Oset_It__Product____Type__Ounit_J,type,
% 3.29/3.48      member5877623283571906838t_unit: set_Product_unit > set_set_Product_unit > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_c_member_001t__String__Ochar,type,
% 3.29/3.48      member_char: char > set_char > $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_v_h,type,
% 3.29/3.48      h: heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_v_h_H,type,
% 3.29/3.48      h2: heap_e7401611519738050253t_unit ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_v_r,type,
% 3.29/3.48      r: ref_a ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_v_thesis,type,
% 3.29/3.48      thesis: $o ).
% 3.29/3.48  
% 3.29/3.48  thf(sy_v_x,type,
% 3.29/3.48      x: a ).
% 3.29/3.48  
% 3.29/3.48  % Relevant facts (4289)
% 3.29/3.48  thf(fact_0_that,axiom,
% 3.29/3.48      ( ( r
% 3.29/3.48        = ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
% 3.29/3.48     => ( ( h2
% 3.29/3.48          = ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
% 3.29/3.48       => thesis ) ) ).
% 3.29/3.48  
% 3.29/3.48  % that
% 3.29/3.48  thf(fact_1_assms,axiom,
% 3.29/3.48      heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r ).
% 3.29/3.48  
% 3.29/3.48  % assms
% 3.29/3.48  thf(fact_2_prod_Oexpand,axiom,
% 3.29/3.48      ! [Prod: produc7812382424243267045t_unit,Prod2: produc7812382424243267045t_unit] :
% 3.29/3.48        ( ( ( ( produc473321116828791851t_unit @ Prod )
% 3.29/3.48            = ( produc473321116828791851t_unit @ Prod2 ) )
% 3.29/3.48          & ( ( produc1126150082675451753t_unit @ Prod )
% 3.29/3.48            = ( produc1126150082675451753t_unit @ Prod2 ) ) )
% 3.29/3.48       => ( Prod = Prod2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.expand
% 3.29/3.48  thf(fact_3_prod__eqI,axiom,
% 3.29/3.48      ! [P: produc7812382424243267045t_unit,Q: produc7812382424243267045t_unit] :
% 3.29/3.48        ( ( ( produc473321116828791851t_unit @ P )
% 3.29/3.48          = ( produc473321116828791851t_unit @ Q ) )
% 3.29/3.48       => ( ( ( produc1126150082675451753t_unit @ P )
% 3.29/3.48            = ( produc1126150082675451753t_unit @ Q ) )
% 3.29/3.48         => ( P = Q ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_eqI
% 3.29/3.48  thf(fact_4_exE__realizer_H,axiom,
% 3.29/3.48      ! [P2: heap_e7401611519738050253t_unit > ref_a > $o,P: produc7812382424243267045t_unit] :
% 3.29/3.48        ( ( P2 @ ( produc1126150082675451753t_unit @ P ) @ ( produc473321116828791851t_unit @ P ) )
% 3.29/3.48       => ~ ! [X: ref_a,Y: heap_e7401611519738050253t_unit] :
% 3.29/3.48              ~ ( P2 @ Y @ X ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exE_realizer'
% 3.29/3.48  thf(fact_5_prod__eq__iff,axiom,
% 3.29/3.48      ( ( ^ [Y2: produc7812382424243267045t_unit,Z: produc7812382424243267045t_unit] : ( Y2 = Z ) )
% 3.29/3.48      = ( ^ [S: produc7812382424243267045t_unit,T: produc7812382424243267045t_unit] :
% 3.29/3.48            ( ( ( produc473321116828791851t_unit @ S )
% 3.29/3.48              = ( produc473321116828791851t_unit @ T ) )
% 3.29/3.48            & ( ( produc1126150082675451753t_unit @ S )
% 3.29/3.48              = ( produc1126150082675451753t_unit @ T ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_eq_iff
% 3.29/3.48  thf(fact_6_Ref_Oget__alloc,axiom,
% 3.29/3.48      ! [X2: a,H: heap_e7401611519738050253t_unit,X3: a] :
% 3.29/3.48        ( ( get_a @ ( produc1126150082675451753t_unit @ ( alloc_a @ X2 @ H ) ) @ ( produc473321116828791851t_unit @ ( alloc_a @ X3 @ H ) ) )
% 3.29/3.48        = X2 ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.get_alloc
% 3.29/3.48  thf(fact_7_set__alloc,axiom,
% 3.29/3.48      ! [V: a,H: heap_e7401611519738050253t_unit,V2: a] :
% 3.29/3.48        ( ( set_a @ ( produc473321116828791851t_unit @ ( alloc_a @ V @ H ) ) @ V2 @ ( produc1126150082675451753t_unit @ ( alloc_a @ V @ H ) ) )
% 3.29/3.48        = ( produc1126150082675451753t_unit @ ( alloc_a @ V2 @ H ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % set_alloc
% 3.29/3.48  thf(fact_8_Ref_Opresent__alloc,axiom,
% 3.29/3.48      ! [H: heap_e7401611519738050253t_unit,R: ref_a,V: a] :
% 3.29/3.48        ( ( present_a @ H @ R )
% 3.29/3.48       => ( present_a @ ( produc1126150082675451753t_unit @ ( alloc_a @ V @ H ) ) @ R ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.present_alloc
% 3.29/3.48  thf(fact_9_Ref_Onot__present__alloc,axiom,
% 3.29/3.48      ! [H: heap_e7401611519738050253t_unit,V: a] :
% 3.29/3.48        ~ ( present_a @ H @ ( produc473321116828791851t_unit @ ( alloc_a @ V @ H ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.not_present_alloc
% 3.29/3.48  thf(fact_10_Ref_Oset__same,axiom,
% 3.29/3.48      ! [R: ref_a,X2: a,Y3: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( set_a @ R @ X2 @ ( set_a @ R @ Y3 @ H ) )
% 3.29/3.48        = ( set_a @ R @ X2 @ H ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.set_same
% 3.29/3.48  thf(fact_11_Ref_Oget__set__eq,axiom,
% 3.29/3.48      ! [R: ref_a,X2: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( get_a @ ( set_a @ R @ X2 @ H ) @ R )
% 3.29/3.48        = X2 ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.get_set_eq
% 3.29/3.48  thf(fact_12_present__set,axiom,
% 3.29/3.48      ! [R: ref_a,V: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( present_a @ ( set_a @ R @ V @ H ) )
% 3.29/3.48        = ( present_a @ H ) ) ).
% 3.29/3.48  
% 3.29/3.48  % present_set
% 3.29/3.48  thf(fact_13_effect__refE,axiom,
% 3.29/3.48      ! [V: a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.48        ( ( heap_effect_ref_a @ ( ref_a2 @ V ) @ H @ H2 @ R )
% 3.29/3.48       => ~ ( ( ( get_a @ H2 @ R )
% 3.29/3.48              = V )
% 3.29/3.48           => ( ( present_a @ H2 @ R )
% 3.29/3.48             => ( present_a @ H @ R ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_refE
% 3.29/3.48  thf(fact_14_alloc__set,axiom,
% 3.29/3.48      ! [X2: a,R: ref_a,X3: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( produc473321116828791851t_unit @ ( alloc_a @ X2 @ ( set_a @ R @ X3 @ H ) ) )
% 3.29/3.48        = ( produc473321116828791851t_unit @ ( alloc_a @ X2 @ H ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % alloc_set
% 3.29/3.48  thf(fact_15_ref_H__def,axiom,
% 3.29/3.48      ref_a3 = ref_a2 ).
% 3.29/3.48  
% 3.29/3.48  % ref'_def
% 3.29/3.48  thf(fact_16_get__alloc__neq,axiom,
% 3.29/3.48      ! [R: ref_a,V: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( noteq_a_a @ R @ ( produc473321116828791851t_unit @ ( alloc_a @ V @ H ) ) )
% 3.29/3.48       => ( ( get_a @ ( produc1126150082675451753t_unit @ ( alloc_a @ V @ H ) ) @ R )
% 3.29/3.48          = ( get_a @ H @ R ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % get_alloc_neq
% 3.29/3.48  thf(fact_17_effect__changeE,axiom,
% 3.29/3.48      ! [F: a > a,R2: ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: a] :
% 3.29/3.48        ( ( heap_effect_a @ ( change_a @ F @ R2 ) @ H @ H2 @ R )
% 3.29/3.48       => ~ ( ( H2
% 3.29/3.48              = ( set_a @ R2 @ ( F @ ( get_a @ H @ R2 ) ) @ H ) )
% 3.29/3.48           => ( R
% 3.29/3.48             != ( F @ ( get_a @ H @ R2 ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_changeE
% 3.29/3.48  thf(fact_18_effect__changeE,axiom,
% 3.29/3.48      ! [F: ref_a > ref_a,R2: ref_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.48        ( ( heap_effect_ref_a @ ( change_ref_a @ F @ R2 ) @ H @ H2 @ R )
% 3.29/3.48       => ~ ( ( H2
% 3.29/3.48              = ( set_ref_a2 @ R2 @ ( F @ ( get_ref_a @ H @ R2 ) ) @ H ) )
% 3.29/3.48           => ( R
% 3.29/3.48             != ( F @ ( get_ref_a @ H @ R2 ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_changeE
% 3.29/3.48  thf(fact_19_effect__changeI,axiom,
% 3.29/3.48      ! [H2: heap_e7401611519738050253t_unit,R: ref_a,F: a > a,H: heap_e7401611519738050253t_unit,X2: a] :
% 3.29/3.48        ( ( H2
% 3.29/3.48          = ( set_a @ R @ ( F @ ( get_a @ H @ R ) ) @ H ) )
% 3.29/3.48       => ( ( X2
% 3.29/3.48            = ( F @ ( get_a @ H @ R ) ) )
% 3.29/3.48         => ( heap_effect_a @ ( change_a @ F @ R ) @ H @ H2 @ X2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_changeI
% 3.29/3.48  thf(fact_20_effect__changeI,axiom,
% 3.29/3.48      ! [H2: heap_e7401611519738050253t_unit,R: ref_ref_a,F: ref_a > ref_a,H: heap_e7401611519738050253t_unit,X2: ref_a] :
% 3.29/3.48        ( ( H2
% 3.29/3.48          = ( set_ref_a2 @ R @ ( F @ ( get_ref_a @ H @ R ) ) @ H ) )
% 3.29/3.48       => ( ( X2
% 3.29/3.48            = ( F @ ( get_ref_a @ H @ R ) ) )
% 3.29/3.48         => ( heap_effect_ref_a @ ( change_ref_a @ F @ R ) @ H @ H2 @ X2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_changeI
% 3.29/3.48  thf(fact_21_present__alloc__neq,axiom,
% 3.29/3.48      ! [H: heap_e7401611519738050253t_unit,R: ref_a,V: a] :
% 3.29/3.48        ( ( present_a @ H @ R )
% 3.29/3.48       => ( noteq_a_a @ R @ ( produc473321116828791851t_unit @ ( alloc_a @ V @ H ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % present_alloc_neq
% 3.29/3.48  thf(fact_22_Ref_Oget__set__neq,axiom,
% 3.29/3.48      ! [R: ref_a,S2: ref_a,X2: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( noteq_a_a @ R @ S2 )
% 3.29/3.48       => ( ( get_a @ ( set_a @ S2 @ X2 @ H ) @ R )
% 3.29/3.48          = ( get_a @ H @ R ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.get_set_neq
% 3.29/3.48  thf(fact_23_ref__def,axiom,
% 3.29/3.48      ( ref_a2
% 3.29/3.48      = ( ^ [V3: a] : ( heap_heap_ref_a @ ( alloc_a @ V3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % ref_def
% 3.29/3.48  thf(fact_24_effect__lookupE,axiom,
% 3.29/3.48      ! [R: ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,X2: a] :
% 3.29/3.48        ( ( heap_effect_a @ ( lookup_a @ R ) @ H @ H2 @ X2 )
% 3.29/3.48       => ~ ( ( H2 = H )
% 3.29/3.48           => ( X2
% 3.29/3.48             != ( get_a @ H @ R ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_lookupE
% 3.29/3.48  thf(fact_25_effect__lookupE,axiom,
% 3.29/3.48      ! [R: ref_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,X2: ref_a] :
% 3.29/3.48        ( ( heap_effect_ref_a @ ( lookup_ref_a @ R ) @ H @ H2 @ X2 )
% 3.29/3.48       => ~ ( ( H2 = H )
% 3.29/3.48           => ( X2
% 3.29/3.48             != ( get_ref_a @ H @ R ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_lookupE
% 3.29/3.48  thf(fact_26_effect__lookupI,axiom,
% 3.29/3.48      ! [H2: heap_e7401611519738050253t_unit,H: heap_e7401611519738050253t_unit,X2: a,R: ref_a] :
% 3.29/3.48        ( ( H2 = H )
% 3.29/3.48       => ( ( X2
% 3.29/3.48            = ( get_a @ H @ R ) )
% 3.29/3.48         => ( heap_effect_a @ ( lookup_a @ R ) @ H @ H2 @ X2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_lookupI
% 3.29/3.48  thf(fact_27_effect__lookupI,axiom,
% 3.29/3.48      ! [H2: heap_e7401611519738050253t_unit,H: heap_e7401611519738050253t_unit,X2: ref_a,R: ref_ref_a] :
% 3.29/3.48        ( ( H2 = H )
% 3.29/3.48       => ( ( X2
% 3.29/3.48            = ( get_ref_a @ H @ R ) )
% 3.29/3.48         => ( heap_effect_ref_a @ ( lookup_ref_a @ R ) @ H @ H2 @ X2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_lookupI
% 3.29/3.48  thf(fact_28_effect__refI,axiom,
% 3.29/3.48      ! [R: ref_a,H2: heap_e7401611519738050253t_unit,V: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( ( produc6544324848051098391t_unit @ R @ H2 )
% 3.29/3.48          = ( alloc_a @ V @ H ) )
% 3.29/3.48       => ( heap_effect_ref_a @ ( ref_a2 @ V ) @ H @ H2 @ R ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_refI
% 3.29/3.48  thf(fact_29_snd__swap,axiom,
% 3.29/3.48      ! [X2: produc7812382424243267045t_unit] :
% 3.29/3.48        ( ( produc6369869760173755749_ref_a @ ( produc970745769005243767t_unit @ X2 ) )
% 3.29/3.48        = ( produc473321116828791851t_unit @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_swap
% 3.29/3.48  thf(fact_30_snd__swap,axiom,
% 3.29/3.48      ! [X2: produc1799199577659733785_ref_a] :
% 3.29/3.48        ( ( produc1126150082675451753t_unit @ ( produc6214465446503547763_ref_a @ X2 ) )
% 3.29/3.48        = ( produc5717040794327095847_ref_a @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_swap
% 3.29/3.48  thf(fact_31_fst__swap,axiom,
% 3.29/3.48      ! [X2: produc1799199577659733785_ref_a] :
% 3.29/3.48        ( ( produc473321116828791851t_unit @ ( produc6214465446503547763_ref_a @ X2 ) )
% 3.29/3.48        = ( produc6369869760173755749_ref_a @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_swap
% 3.29/3.48  thf(fact_32_fst__swap,axiom,
% 3.29/3.48      ! [X2: produc7812382424243267045t_unit] :
% 3.29/3.48        ( ( produc5717040794327095847_ref_a @ ( produc970745769005243767t_unit @ X2 ) )
% 3.29/3.48        = ( produc1126150082675451753t_unit @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_swap
% 3.29/3.48  thf(fact_33_prod_Oinject,axiom,
% 3.29/3.48      ! [X1: set_Pr4329608150637261639at_nat,X22: set_Pr4329608150637261639at_nat,Y1: set_Pr4329608150637261639at_nat,Y22: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( ( produc9060074326276436823at_nat @ X1 @ X22 )
% 3.29/3.48          = ( produc9060074326276436823at_nat @ Y1 @ Y22 ) )
% 3.29/3.48        = ( ( X1 = Y1 )
% 3.29/3.48          & ( X22 = Y22 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.inject
% 3.29/3.48  thf(fact_34_prod_Oinject,axiom,
% 3.29/3.48      ! [X1: set_Pr1261947904930325089at_nat,X22: set_Pr1261947904930325089at_nat,Y1: set_Pr1261947904930325089at_nat,Y22: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( ( produc2922128104949294807at_nat @ X1 @ X22 )
% 3.29/3.48          = ( produc2922128104949294807at_nat @ Y1 @ Y22 ) )
% 3.29/3.48        = ( ( X1 = Y1 )
% 3.29/3.48          & ( X22 = Y22 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.inject
% 3.29/3.48  thf(fact_35_prod_Oinject,axiom,
% 3.29/3.48      ! [X1: nat,X22: num,Y1: nat,Y22: num] :
% 3.29/3.48        ( ( ( product_Pair_nat_num @ X1 @ X22 )
% 3.29/3.48          = ( product_Pair_nat_num @ Y1 @ Y22 ) )
% 3.29/3.48        = ( ( X1 = Y1 )
% 3.29/3.48          & ( X22 = Y22 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.inject
% 3.29/3.48  thf(fact_36_prod_Oinject,axiom,
% 3.29/3.48      ! [X1: nat,X22: nat,Y1: nat,Y22: nat] :
% 3.29/3.48        ( ( ( product_Pair_nat_nat @ X1 @ X22 )
% 3.29/3.48          = ( product_Pair_nat_nat @ Y1 @ Y22 ) )
% 3.29/3.48        = ( ( X1 = Y1 )
% 3.29/3.48          & ( X22 = Y22 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.inject
% 3.29/3.48  thf(fact_37_prod_Oinject,axiom,
% 3.29/3.48      ! [X1: int,X22: int,Y1: int,Y22: int] :
% 3.29/3.48        ( ( ( product_Pair_int_int @ X1 @ X22 )
% 3.29/3.48          = ( product_Pair_int_int @ Y1 @ Y22 ) )
% 3.29/3.48        = ( ( X1 = Y1 )
% 3.29/3.48          & ( X22 = Y22 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.inject
% 3.29/3.48  thf(fact_38_old_Oprod_Oinject,axiom,
% 3.29/3.48      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat,A2: set_Pr4329608150637261639at_nat,B2: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( ( produc9060074326276436823at_nat @ A @ B )
% 3.29/3.48          = ( produc9060074326276436823at_nat @ A2 @ B2 ) )
% 3.29/3.48        = ( ( A = A2 )
% 3.29/3.48          & ( B = B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.inject
% 3.29/3.48  thf(fact_39_old_Oprod_Oinject,axiom,
% 3.29/3.48      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,A2: set_Pr1261947904930325089at_nat,B2: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( ( produc2922128104949294807at_nat @ A @ B )
% 3.29/3.48          = ( produc2922128104949294807at_nat @ A2 @ B2 ) )
% 3.29/3.48        = ( ( A = A2 )
% 3.29/3.48          & ( B = B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.inject
% 3.29/3.48  thf(fact_40_old_Oprod_Oinject,axiom,
% 3.29/3.48      ! [A: nat,B: num,A2: nat,B2: num] :
% 3.29/3.48        ( ( ( product_Pair_nat_num @ A @ B )
% 3.29/3.48          = ( product_Pair_nat_num @ A2 @ B2 ) )
% 3.29/3.48        = ( ( A = A2 )
% 3.29/3.48          & ( B = B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.inject
% 3.29/3.48  thf(fact_41_old_Oprod_Oinject,axiom,
% 3.29/3.48      ! [A: nat,B: nat,A2: nat,B2: nat] :
% 3.29/3.48        ( ( ( product_Pair_nat_nat @ A @ B )
% 3.29/3.48          = ( product_Pair_nat_nat @ A2 @ B2 ) )
% 3.29/3.48        = ( ( A = A2 )
% 3.29/3.48          & ( B = B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.inject
% 3.29/3.48  thf(fact_42_old_Oprod_Oinject,axiom,
% 3.29/3.48      ! [A: int,B: int,A2: int,B2: int] :
% 3.29/3.48        ( ( ( product_Pair_int_int @ A @ B )
% 3.29/3.48          = ( product_Pair_int_int @ A2 @ B2 ) )
% 3.29/3.48        = ( ( A = A2 )
% 3.29/3.48          & ( B = B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.inject
% 3.29/3.48  thf(fact_43_swap__simp,axiom,
% 3.29/3.48      ! [X2: num,Y3: nat] :
% 3.29/3.48        ( ( product_swap_num_nat @ ( product_Pair_num_nat @ X2 @ Y3 ) )
% 3.29/3.48        = ( product_Pair_nat_num @ Y3 @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % swap_simp
% 3.29/3.48  thf(fact_44_swap__simp,axiom,
% 3.29/3.48      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( produc5396952528824381687at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.48        = ( produc9060074326276436823at_nat @ Y3 @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % swap_simp
% 3.29/3.48  thf(fact_45_swap__simp,axiom,
% 3.29/3.48      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( produc3946833401584108663at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.48        = ( produc2922128104949294807at_nat @ Y3 @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % swap_simp
% 3.29/3.48  thf(fact_46_swap__simp,axiom,
% 3.29/3.48      ! [X2: nat,Y3: num] :
% 3.29/3.48        ( ( product_swap_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.48        = ( product_Pair_num_nat @ Y3 @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % swap_simp
% 3.29/3.48  thf(fact_47_swap__simp,axiom,
% 3.29/3.48      ! [X2: nat,Y3: nat] :
% 3.29/3.48        ( ( product_swap_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.48        = ( product_Pair_nat_nat @ Y3 @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % swap_simp
% 3.29/3.48  thf(fact_48_swap__simp,axiom,
% 3.29/3.48      ! [X2: int,Y3: int] :
% 3.29/3.48        ( ( product_swap_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.48        = ( product_Pair_int_int @ Y3 @ X2 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % swap_simp
% 3.29/3.48  thf(fact_49_prod_Ocollapse,axiom,
% 3.29/3.48      ! [Prod: produc1319942482725812455at_nat] :
% 3.29/3.48        ( ( produc9060074326276436823at_nat @ ( produc4486455499028916547at_nat @ Prod ) @ ( produc826222791318859909at_nat @ Prod ) )
% 3.29/3.48        = Prod ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.collapse
% 3.29/3.48  thf(fact_50_prod_Ocollapse,axiom,
% 3.29/3.48      ! [Prod: produc3843707927480180839at_nat] :
% 3.29/3.48        ( ( produc2922128104949294807at_nat @ ( produc6011863565407846595at_nat @ Prod ) @ ( produc2937545259423399429at_nat @ Prod ) )
% 3.29/3.48        = Prod ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.collapse
% 3.29/3.48  thf(fact_51_prod_Ocollapse,axiom,
% 3.29/3.48      ! [Prod: product_prod_nat_num] :
% 3.29/3.48        ( ( product_Pair_nat_num @ ( product_fst_nat_num @ Prod ) @ ( product_snd_nat_num @ Prod ) )
% 3.29/3.48        = Prod ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.collapse
% 3.29/3.48  thf(fact_52_prod_Ocollapse,axiom,
% 3.29/3.48      ! [Prod: product_prod_nat_nat] :
% 3.29/3.48        ( ( product_Pair_nat_nat @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) )
% 3.29/3.48        = Prod ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.collapse
% 3.29/3.48  thf(fact_53_prod_Ocollapse,axiom,
% 3.29/3.48      ! [Prod: product_prod_int_int] :
% 3.29/3.48        ( ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) )
% 3.29/3.48        = Prod ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.collapse
% 3.29/3.48  thf(fact_54_prod_Ocollapse,axiom,
% 3.29/3.48      ! [Prod: produc7812382424243267045t_unit] :
% 3.29/3.48        ( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ Prod ) @ ( produc1126150082675451753t_unit @ Prod ) )
% 3.29/3.48        = Prod ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.collapse
% 3.29/3.48  thf(fact_55_old_Oprod_Oexhaust,axiom,
% 3.29/3.48      ! [Y3: produc1319942482725812455at_nat] :
% 3.29/3.48        ~ ! [A3: set_Pr4329608150637261639at_nat,B3: set_Pr4329608150637261639at_nat] :
% 3.29/3.48            ( Y3
% 3.29/3.48           != ( produc9060074326276436823at_nat @ A3 @ B3 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.exhaust
% 3.29/3.48  thf(fact_56_old_Oprod_Oexhaust,axiom,
% 3.29/3.48      ! [Y3: produc3843707927480180839at_nat] :
% 3.29/3.48        ~ ! [A3: set_Pr1261947904930325089at_nat,B3: set_Pr1261947904930325089at_nat] :
% 3.29/3.48            ( Y3
% 3.29/3.48           != ( produc2922128104949294807at_nat @ A3 @ B3 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.exhaust
% 3.29/3.48  thf(fact_57_old_Oprod_Oexhaust,axiom,
% 3.29/3.48      ! [Y3: product_prod_nat_num] :
% 3.29/3.48        ~ ! [A3: nat,B3: num] :
% 3.29/3.48            ( Y3
% 3.29/3.48           != ( product_Pair_nat_num @ A3 @ B3 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.exhaust
% 3.29/3.48  thf(fact_58_old_Oprod_Oexhaust,axiom,
% 3.29/3.48      ! [Y3: product_prod_nat_nat] :
% 3.29/3.48        ~ ! [A3: nat,B3: nat] :
% 3.29/3.48            ( Y3
% 3.29/3.48           != ( product_Pair_nat_nat @ A3 @ B3 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.exhaust
% 3.29/3.48  thf(fact_59_old_Oprod_Oexhaust,axiom,
% 3.29/3.48      ! [Y3: product_prod_int_int] :
% 3.29/3.48        ~ ! [A3: int,B3: int] :
% 3.29/3.48            ( Y3
% 3.29/3.48           != ( product_Pair_int_int @ A3 @ B3 ) ) ).
% 3.29/3.48  
% 3.29/3.48  % old.prod.exhaust
% 3.29/3.48  thf(fact_60_surj__pair,axiom,
% 3.29/3.48      ! [P: produc1319942482725812455at_nat] :
% 3.29/3.48      ? [X: set_Pr4329608150637261639at_nat,Y: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( P
% 3.29/3.48        = ( produc9060074326276436823at_nat @ X @ Y ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surj_pair
% 3.29/3.48  thf(fact_61_surj__pair,axiom,
% 3.29/3.48      ! [P: produc3843707927480180839at_nat] :
% 3.29/3.48      ? [X: set_Pr1261947904930325089at_nat,Y: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( P
% 3.29/3.48        = ( produc2922128104949294807at_nat @ X @ Y ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surj_pair
% 3.29/3.48  thf(fact_62_surj__pair,axiom,
% 3.29/3.48      ! [P: product_prod_nat_num] :
% 3.29/3.48      ? [X: nat,Y: num] :
% 3.29/3.48        ( P
% 3.29/3.48        = ( product_Pair_nat_num @ X @ Y ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surj_pair
% 3.29/3.48  thf(fact_63_surj__pair,axiom,
% 3.29/3.48      ! [P: product_prod_nat_nat] :
% 3.29/3.48      ? [X: nat,Y: nat] :
% 3.29/3.48        ( P
% 3.29/3.48        = ( product_Pair_nat_nat @ X @ Y ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surj_pair
% 3.29/3.48  thf(fact_64_surj__pair,axiom,
% 3.29/3.48      ! [P: product_prod_int_int] :
% 3.29/3.48      ? [X: int,Y: int] :
% 3.29/3.48        ( P
% 3.29/3.48        = ( product_Pair_int_int @ X @ Y ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surj_pair
% 3.29/3.48  thf(fact_65_prod__cases,axiom,
% 3.29/3.48      ! [P2: produc1319942482725812455at_nat > $o,P: produc1319942482725812455at_nat] :
% 3.29/3.48        ( ! [A3: set_Pr4329608150637261639at_nat,B3: set_Pr4329608150637261639at_nat] : ( P2 @ ( produc9060074326276436823at_nat @ A3 @ B3 ) )
% 3.29/3.48       => ( P2 @ P ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_cases
% 3.29/3.48  thf(fact_66_prod__cases,axiom,
% 3.29/3.48      ! [P2: produc3843707927480180839at_nat > $o,P: produc3843707927480180839at_nat] :
% 3.29/3.48        ( ! [A3: set_Pr1261947904930325089at_nat,B3: set_Pr1261947904930325089at_nat] : ( P2 @ ( produc2922128104949294807at_nat @ A3 @ B3 ) )
% 3.29/3.48       => ( P2 @ P ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_cases
% 3.29/3.48  thf(fact_67_prod__cases,axiom,
% 3.29/3.48      ! [P2: product_prod_nat_num > $o,P: product_prod_nat_num] :
% 3.29/3.48        ( ! [A3: nat,B3: num] : ( P2 @ ( product_Pair_nat_num @ A3 @ B3 ) )
% 3.29/3.48       => ( P2 @ P ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_cases
% 3.29/3.48  thf(fact_68_prod__cases,axiom,
% 3.29/3.48      ! [P2: product_prod_nat_nat > $o,P: product_prod_nat_nat] :
% 3.29/3.48        ( ! [A3: nat,B3: nat] : ( P2 @ ( product_Pair_nat_nat @ A3 @ B3 ) )
% 3.29/3.48       => ( P2 @ P ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_cases
% 3.29/3.48  thf(fact_69_prod__cases,axiom,
% 3.29/3.48      ! [P2: product_prod_int_int > $o,P: product_prod_int_int] :
% 3.29/3.48        ( ! [A3: int,B3: int] : ( P2 @ ( product_Pair_int_int @ A3 @ B3 ) )
% 3.29/3.48       => ( P2 @ P ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod_cases
% 3.29/3.48  thf(fact_70_Pair__inject,axiom,
% 3.29/3.48      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat,A2: set_Pr4329608150637261639at_nat,B2: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( ( produc9060074326276436823at_nat @ A @ B )
% 3.29/3.48          = ( produc9060074326276436823at_nat @ A2 @ B2 ) )
% 3.29/3.48       => ~ ( ( A = A2 )
% 3.29/3.48           => ( B != B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Pair_inject
% 3.29/3.48  thf(fact_71_Pair__inject,axiom,
% 3.29/3.48      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,A2: set_Pr1261947904930325089at_nat,B2: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( ( produc2922128104949294807at_nat @ A @ B )
% 3.29/3.48          = ( produc2922128104949294807at_nat @ A2 @ B2 ) )
% 3.29/3.48       => ~ ( ( A = A2 )
% 3.29/3.48           => ( B != B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Pair_inject
% 3.29/3.48  thf(fact_72_Pair__inject,axiom,
% 3.29/3.48      ! [A: nat,B: num,A2: nat,B2: num] :
% 3.29/3.48        ( ( ( product_Pair_nat_num @ A @ B )
% 3.29/3.48          = ( product_Pair_nat_num @ A2 @ B2 ) )
% 3.29/3.48       => ~ ( ( A = A2 )
% 3.29/3.48           => ( B != B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Pair_inject
% 3.29/3.48  thf(fact_73_Pair__inject,axiom,
% 3.29/3.48      ! [A: nat,B: nat,A2: nat,B2: nat] :
% 3.29/3.48        ( ( ( product_Pair_nat_nat @ A @ B )
% 3.29/3.48          = ( product_Pair_nat_nat @ A2 @ B2 ) )
% 3.29/3.48       => ~ ( ( A = A2 )
% 3.29/3.48           => ( B != B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Pair_inject
% 3.29/3.48  thf(fact_74_Pair__inject,axiom,
% 3.29/3.48      ! [A: int,B: int,A2: int,B2: int] :
% 3.29/3.48        ( ( ( product_Pair_int_int @ A @ B )
% 3.29/3.48          = ( product_Pair_int_int @ A2 @ B2 ) )
% 3.29/3.48       => ~ ( ( A = A2 )
% 3.29/3.48           => ( B != B2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Pair_inject
% 3.29/3.48  thf(fact_75_mem__Collect__eq,axiom,
% 3.29/3.48      ! [A: produc3843707927480180839at_nat,P2: produc3843707927480180839at_nat > $o] :
% 3.29/3.48        ( ( member8757157785044589968at_nat @ A @ ( collec6321179662152712658at_nat @ P2 ) )
% 3.29/3.48        = ( P2 @ A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % mem_Collect_eq
% 3.29/3.48  thf(fact_76_mem__Collect__eq,axiom,
% 3.29/3.48      ! [A: $o,P2: $o > $o] :
% 3.29/3.48        ( ( member_o @ A @ ( collect_o @ P2 ) )
% 3.29/3.48        = ( P2 @ A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % mem_Collect_eq
% 3.29/3.48  thf(fact_77_mem__Collect__eq,axiom,
% 3.29/3.48      ! [A: int,P2: int > $o] :
% 3.29/3.48        ( ( member_int @ A @ ( collect_int @ P2 ) )
% 3.29/3.48        = ( P2 @ A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % mem_Collect_eq
% 3.29/3.48  thf(fact_78_mem__Collect__eq,axiom,
% 3.29/3.48      ! [A: product_prod_nat_nat,P2: product_prod_nat_nat > $o] :
% 3.29/3.48        ( ( member8440522571783428010at_nat @ A @ ( collec3392354462482085612at_nat @ P2 ) )
% 3.29/3.48        = ( P2 @ A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % mem_Collect_eq
% 3.29/3.48  thf(fact_79_mem__Collect__eq,axiom,
% 3.29/3.48      ! [A: nat,P2: nat > $o] :
% 3.29/3.48        ( ( member_nat @ A @ ( collect_nat @ P2 ) )
% 3.29/3.48        = ( P2 @ A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % mem_Collect_eq
% 3.29/3.48  thf(fact_80_mem__Collect__eq,axiom,
% 3.29/3.48      ! [A: product_prod_int_int,P2: product_prod_int_int > $o] :
% 3.29/3.48        ( ( member5262025264175285858nt_int @ A @ ( collec213857154873943460nt_int @ P2 ) )
% 3.29/3.48        = ( P2 @ A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % mem_Collect_eq
% 3.29/3.48  thf(fact_81_Collect__mem__eq,axiom,
% 3.29/3.48      ! [A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( collec6321179662152712658at_nat
% 3.29/3.48          @ ^ [X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ A4 ) )
% 3.29/3.48        = A4 ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_mem_eq
% 3.29/3.48  thf(fact_82_Collect__mem__eq,axiom,
% 3.29/3.48      ! [A4: set_o] :
% 3.29/3.48        ( ( collect_o
% 3.29/3.48          @ ^ [X4: $o] : ( member_o @ X4 @ A4 ) )
% 3.29/3.48        = A4 ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_mem_eq
% 3.29/3.48  thf(fact_83_Collect__mem__eq,axiom,
% 3.29/3.48      ! [A4: set_int] :
% 3.29/3.48        ( ( collect_int
% 3.29/3.48          @ ^ [X4: int] : ( member_int @ X4 @ A4 ) )
% 3.29/3.48        = A4 ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_mem_eq
% 3.29/3.48  thf(fact_84_Collect__mem__eq,axiom,
% 3.29/3.48      ! [A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( collec3392354462482085612at_nat
% 3.29/3.48          @ ^ [X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ A4 ) )
% 3.29/3.48        = A4 ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_mem_eq
% 3.29/3.48  thf(fact_85_Collect__mem__eq,axiom,
% 3.29/3.48      ! [A4: set_nat] :
% 3.29/3.48        ( ( collect_nat
% 3.29/3.48          @ ^ [X4: nat] : ( member_nat @ X4 @ A4 ) )
% 3.29/3.48        = A4 ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_mem_eq
% 3.29/3.48  thf(fact_86_Collect__mem__eq,axiom,
% 3.29/3.48      ! [A4: set_Pr958786334691620121nt_int] :
% 3.29/3.48        ( ( collec213857154873943460nt_int
% 3.29/3.48          @ ^ [X4: product_prod_int_int] : ( member5262025264175285858nt_int @ X4 @ A4 ) )
% 3.29/3.48        = A4 ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_mem_eq
% 3.29/3.48  thf(fact_87_Collect__cong,axiom,
% 3.29/3.48      ! [P2: product_prod_nat_nat > $o,Q2: product_prod_nat_nat > $o] :
% 3.29/3.48        ( ! [X: product_prod_nat_nat] :
% 3.29/3.48            ( ( P2 @ X )
% 3.29/3.48            = ( Q2 @ X ) )
% 3.29/3.48       => ( ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.48          = ( collec3392354462482085612at_nat @ Q2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_cong
% 3.29/3.48  thf(fact_88_Collect__cong,axiom,
% 3.29/3.48      ! [P2: nat > $o,Q2: nat > $o] :
% 3.29/3.48        ( ! [X: nat] :
% 3.29/3.48            ( ( P2 @ X )
% 3.29/3.48            = ( Q2 @ X ) )
% 3.29/3.48       => ( ( collect_nat @ P2 )
% 3.29/3.48          = ( collect_nat @ Q2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_cong
% 3.29/3.48  thf(fact_89_Collect__cong,axiom,
% 3.29/3.48      ! [P2: product_prod_int_int > $o,Q2: product_prod_int_int > $o] :
% 3.29/3.48        ( ! [X: product_prod_int_int] :
% 3.29/3.48            ( ( P2 @ X )
% 3.29/3.48            = ( Q2 @ X ) )
% 3.29/3.48       => ( ( collec213857154873943460nt_int @ P2 )
% 3.29/3.48          = ( collec213857154873943460nt_int @ Q2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Collect_cong
% 3.29/3.48  thf(fact_90_fst__eqD,axiom,
% 3.29/3.48      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat,A: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( ( produc4486455499028916547at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( X2 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_eqD
% 3.29/3.48  thf(fact_91_fst__eqD,axiom,
% 3.29/3.48      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,A: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( ( produc6011863565407846595at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( X2 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_eqD
% 3.29/3.48  thf(fact_92_fst__eqD,axiom,
% 3.29/3.48      ! [X2: nat,Y3: num,A: nat] :
% 3.29/3.48        ( ( ( product_fst_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( X2 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_eqD
% 3.29/3.48  thf(fact_93_fst__eqD,axiom,
% 3.29/3.48      ! [X2: nat,Y3: nat,A: nat] :
% 3.29/3.48        ( ( ( product_fst_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( X2 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_eqD
% 3.29/3.48  thf(fact_94_fst__eqD,axiom,
% 3.29/3.48      ! [X2: int,Y3: int,A: int] :
% 3.29/3.48        ( ( ( product_fst_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( X2 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_eqD
% 3.29/3.48  thf(fact_95_fst__eqD,axiom,
% 3.29/3.48      ! [X2: ref_a,Y3: heap_e7401611519738050253t_unit,A: ref_a] :
% 3.29/3.48        ( ( ( produc473321116828791851t_unit @ ( produc6544324848051098391t_unit @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( X2 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_eqD
% 3.29/3.48  thf(fact_96_fst__conv,axiom,
% 3.29/3.48      ! [X1: set_Pr4329608150637261639at_nat,X22: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( produc4486455499028916547at_nat @ ( produc9060074326276436823at_nat @ X1 @ X22 ) )
% 3.29/3.48        = X1 ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_conv
% 3.29/3.48  thf(fact_97_fst__conv,axiom,
% 3.29/3.48      ! [X1: set_Pr1261947904930325089at_nat,X22: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( produc6011863565407846595at_nat @ ( produc2922128104949294807at_nat @ X1 @ X22 ) )
% 3.29/3.48        = X1 ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_conv
% 3.29/3.48  thf(fact_98_fst__conv,axiom,
% 3.29/3.48      ! [X1: nat,X22: num] :
% 3.29/3.48        ( ( product_fst_nat_num @ ( product_Pair_nat_num @ X1 @ X22 ) )
% 3.29/3.48        = X1 ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_conv
% 3.29/3.48  thf(fact_99_fst__conv,axiom,
% 3.29/3.48      ! [X1: nat,X22: nat] :
% 3.29/3.48        ( ( product_fst_nat_nat @ ( product_Pair_nat_nat @ X1 @ X22 ) )
% 3.29/3.48        = X1 ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_conv
% 3.29/3.48  thf(fact_100_fst__conv,axiom,
% 3.29/3.48      ! [X1: int,X22: int] :
% 3.29/3.48        ( ( product_fst_int_int @ ( product_Pair_int_int @ X1 @ X22 ) )
% 3.29/3.48        = X1 ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_conv
% 3.29/3.48  thf(fact_101_fst__conv,axiom,
% 3.29/3.48      ! [X1: ref_a,X22: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( produc473321116828791851t_unit @ ( produc6544324848051098391t_unit @ X1 @ X22 ) )
% 3.29/3.48        = X1 ) ).
% 3.29/3.48  
% 3.29/3.48  % fst_conv
% 3.29/3.48  thf(fact_102_snd__eqD,axiom,
% 3.29/3.48      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat,A: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( ( produc826222791318859909at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( Y3 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_eqD
% 3.29/3.48  thf(fact_103_snd__eqD,axiom,
% 3.29/3.48      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,A: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( ( produc2937545259423399429at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( Y3 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_eqD
% 3.29/3.48  thf(fact_104_snd__eqD,axiom,
% 3.29/3.48      ! [X2: nat,Y3: num,A: num] :
% 3.29/3.48        ( ( ( product_snd_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( Y3 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_eqD
% 3.29/3.48  thf(fact_105_snd__eqD,axiom,
% 3.29/3.48      ! [X2: nat,Y3: nat,A: nat] :
% 3.29/3.48        ( ( ( product_snd_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( Y3 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_eqD
% 3.29/3.48  thf(fact_106_snd__eqD,axiom,
% 3.29/3.48      ! [X2: int,Y3: int,A: int] :
% 3.29/3.48        ( ( ( product_snd_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( Y3 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_eqD
% 3.29/3.48  thf(fact_107_snd__eqD,axiom,
% 3.29/3.48      ! [X2: ref_a,Y3: heap_e7401611519738050253t_unit,A: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( ( produc1126150082675451753t_unit @ ( produc6544324848051098391t_unit @ X2 @ Y3 ) )
% 3.29/3.48          = A )
% 3.29/3.48       => ( Y3 = A ) ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_eqD
% 3.29/3.48  thf(fact_108_snd__conv,axiom,
% 3.29/3.48      ! [X1: set_Pr4329608150637261639at_nat,X22: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( produc826222791318859909at_nat @ ( produc9060074326276436823at_nat @ X1 @ X22 ) )
% 3.29/3.48        = X22 ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_conv
% 3.29/3.48  thf(fact_109_snd__conv,axiom,
% 3.29/3.48      ! [X1: set_Pr1261947904930325089at_nat,X22: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( produc2937545259423399429at_nat @ ( produc2922128104949294807at_nat @ X1 @ X22 ) )
% 3.29/3.48        = X22 ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_conv
% 3.29/3.48  thf(fact_110_snd__conv,axiom,
% 3.29/3.48      ! [X1: nat,X22: num] :
% 3.29/3.48        ( ( product_snd_nat_num @ ( product_Pair_nat_num @ X1 @ X22 ) )
% 3.29/3.48        = X22 ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_conv
% 3.29/3.48  thf(fact_111_snd__conv,axiom,
% 3.29/3.48      ! [X1: nat,X22: nat] :
% 3.29/3.48        ( ( product_snd_nat_nat @ ( product_Pair_nat_nat @ X1 @ X22 ) )
% 3.29/3.48        = X22 ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_conv
% 3.29/3.48  thf(fact_112_snd__conv,axiom,
% 3.29/3.48      ! [X1: int,X22: int] :
% 3.29/3.48        ( ( product_snd_int_int @ ( product_Pair_int_int @ X1 @ X22 ) )
% 3.29/3.48        = X22 ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_conv
% 3.29/3.48  thf(fact_113_snd__conv,axiom,
% 3.29/3.48      ! [X1: ref_a,X22: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( produc1126150082675451753t_unit @ ( produc6544324848051098391t_unit @ X1 @ X22 ) )
% 3.29/3.48        = X22 ) ).
% 3.29/3.48  
% 3.29/3.48  % snd_conv
% 3.29/3.48  thf(fact_114_prod_Oswap__def,axiom,
% 3.29/3.48      ( produc5396952528824381687at_nat
% 3.29/3.48      = ( ^ [P3: produc1319942482725812455at_nat] : ( produc9060074326276436823at_nat @ ( produc826222791318859909at_nat @ P3 ) @ ( produc4486455499028916547at_nat @ P3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.swap_def
% 3.29/3.48  thf(fact_115_prod_Oswap__def,axiom,
% 3.29/3.48      ( produc3946833401584108663at_nat
% 3.29/3.48      = ( ^ [P3: produc3843707927480180839at_nat] : ( produc2922128104949294807at_nat @ ( produc2937545259423399429at_nat @ P3 ) @ ( produc6011863565407846595at_nat @ P3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.swap_def
% 3.29/3.48  thf(fact_116_prod_Oswap__def,axiom,
% 3.29/3.48      ( product_swap_num_nat
% 3.29/3.48      = ( ^ [P3: product_prod_num_nat] : ( product_Pair_nat_num @ ( product_snd_num_nat @ P3 ) @ ( product_fst_num_nat @ P3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.swap_def
% 3.29/3.48  thf(fact_117_prod_Oswap__def,axiom,
% 3.29/3.48      ( product_swap_nat_nat
% 3.29/3.48      = ( ^ [P3: product_prod_nat_nat] : ( product_Pair_nat_nat @ ( product_snd_nat_nat @ P3 ) @ ( product_fst_nat_nat @ P3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.swap_def
% 3.29/3.48  thf(fact_118_prod_Oswap__def,axiom,
% 3.29/3.48      ( product_swap_int_int
% 3.29/3.48      = ( ^ [P3: product_prod_int_int] : ( product_Pair_int_int @ ( product_snd_int_int @ P3 ) @ ( product_fst_int_int @ P3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.swap_def
% 3.29/3.48  thf(fact_119_prod_Oswap__def,axiom,
% 3.29/3.48      ( produc970745769005243767t_unit
% 3.29/3.48      = ( ^ [P3: produc7812382424243267045t_unit] : ( produc2564672488694626579_ref_a @ ( produc1126150082675451753t_unit @ P3 ) @ ( produc473321116828791851t_unit @ P3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.swap_def
% 3.29/3.48  thf(fact_120_prod_Oexhaust__sel,axiom,
% 3.29/3.48      ! [Prod: produc1319942482725812455at_nat] :
% 3.29/3.48        ( Prod
% 3.29/3.48        = ( produc9060074326276436823at_nat @ ( produc4486455499028916547at_nat @ Prod ) @ ( produc826222791318859909at_nat @ Prod ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.exhaust_sel
% 3.29/3.48  thf(fact_121_prod_Oexhaust__sel,axiom,
% 3.29/3.48      ! [Prod: produc3843707927480180839at_nat] :
% 3.29/3.48        ( Prod
% 3.29/3.48        = ( produc2922128104949294807at_nat @ ( produc6011863565407846595at_nat @ Prod ) @ ( produc2937545259423399429at_nat @ Prod ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.exhaust_sel
% 3.29/3.48  thf(fact_122_prod_Oexhaust__sel,axiom,
% 3.29/3.48      ! [Prod: product_prod_nat_num] :
% 3.29/3.48        ( Prod
% 3.29/3.48        = ( product_Pair_nat_num @ ( product_fst_nat_num @ Prod ) @ ( product_snd_nat_num @ Prod ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.exhaust_sel
% 3.29/3.48  thf(fact_123_prod_Oexhaust__sel,axiom,
% 3.29/3.48      ! [Prod: product_prod_nat_nat] :
% 3.29/3.48        ( Prod
% 3.29/3.48        = ( product_Pair_nat_nat @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.exhaust_sel
% 3.29/3.48  thf(fact_124_prod_Oexhaust__sel,axiom,
% 3.29/3.48      ! [Prod: product_prod_int_int] :
% 3.29/3.48        ( Prod
% 3.29/3.48        = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.exhaust_sel
% 3.29/3.48  thf(fact_125_prod_Oexhaust__sel,axiom,
% 3.29/3.48      ! [Prod: produc7812382424243267045t_unit] :
% 3.29/3.48        ( Prod
% 3.29/3.48        = ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ Prod ) @ ( produc1126150082675451753t_unit @ Prod ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % prod.exhaust_sel
% 3.29/3.48  thf(fact_126_exI__realizer,axiom,
% 3.29/3.48      ! [P2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o,Y3: set_Pr4329608150637261639at_nat,X2: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( P2 @ Y3 @ X2 )
% 3.29/3.48       => ( P2 @ ( produc826222791318859909at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) ) @ ( produc4486455499028916547at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exI_realizer
% 3.29/3.48  thf(fact_127_exI__realizer,axiom,
% 3.29/3.48      ! [P2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,Y3: set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( P2 @ Y3 @ X2 )
% 3.29/3.48       => ( P2 @ ( produc2937545259423399429at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) ) @ ( produc6011863565407846595at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exI_realizer
% 3.29/3.48  thf(fact_128_exI__realizer,axiom,
% 3.29/3.48      ! [P2: num > nat > $o,Y3: num,X2: nat] :
% 3.29/3.48        ( ( P2 @ Y3 @ X2 )
% 3.29/3.48       => ( P2 @ ( product_snd_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) ) @ ( product_fst_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exI_realizer
% 3.29/3.48  thf(fact_129_exI__realizer,axiom,
% 3.29/3.48      ! [P2: nat > nat > $o,Y3: nat,X2: nat] :
% 3.29/3.48        ( ( P2 @ Y3 @ X2 )
% 3.29/3.48       => ( P2 @ ( product_snd_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) ) @ ( product_fst_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exI_realizer
% 3.29/3.48  thf(fact_130_exI__realizer,axiom,
% 3.29/3.48      ! [P2: int > int > $o,Y3: int,X2: int] :
% 3.29/3.48        ( ( P2 @ Y3 @ X2 )
% 3.29/3.48       => ( P2 @ ( product_snd_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) ) @ ( product_fst_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exI_realizer
% 3.29/3.48  thf(fact_131_exI__realizer,axiom,
% 3.29/3.48      ! [P2: heap_e7401611519738050253t_unit > ref_a > $o,Y3: heap_e7401611519738050253t_unit,X2: ref_a] :
% 3.29/3.48        ( ( P2 @ Y3 @ X2 )
% 3.29/3.48       => ( P2 @ ( produc1126150082675451753t_unit @ ( produc6544324848051098391t_unit @ X2 @ Y3 ) ) @ ( produc473321116828791851t_unit @ ( produc6544324848051098391t_unit @ X2 @ Y3 ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % exI_realizer
% 3.29/3.48  thf(fact_132_conjI__realizer,axiom,
% 3.29/3.48      ! [P2: set_Pr4329608150637261639at_nat > $o,P: set_Pr4329608150637261639at_nat,Q2: set_Pr4329608150637261639at_nat > $o,Q: set_Pr4329608150637261639at_nat] :
% 3.29/3.48        ( ( P2 @ P )
% 3.29/3.48       => ( ( Q2 @ Q )
% 3.29/3.48         => ( ( P2 @ ( produc4486455499028916547at_nat @ ( produc9060074326276436823at_nat @ P @ Q ) ) )
% 3.29/3.48            & ( Q2 @ ( produc826222791318859909at_nat @ ( produc9060074326276436823at_nat @ P @ Q ) ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % conjI_realizer
% 3.29/3.48  thf(fact_133_conjI__realizer,axiom,
% 3.29/3.48      ! [P2: set_Pr1261947904930325089at_nat > $o,P: set_Pr1261947904930325089at_nat,Q2: set_Pr1261947904930325089at_nat > $o,Q: set_Pr1261947904930325089at_nat] :
% 3.29/3.48        ( ( P2 @ P )
% 3.29/3.48       => ( ( Q2 @ Q )
% 3.29/3.48         => ( ( P2 @ ( produc6011863565407846595at_nat @ ( produc2922128104949294807at_nat @ P @ Q ) ) )
% 3.29/3.48            & ( Q2 @ ( produc2937545259423399429at_nat @ ( produc2922128104949294807at_nat @ P @ Q ) ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % conjI_realizer
% 3.29/3.48  thf(fact_134_conjI__realizer,axiom,
% 3.29/3.48      ! [P2: nat > $o,P: nat,Q2: num > $o,Q: num] :
% 3.29/3.48        ( ( P2 @ P )
% 3.29/3.48       => ( ( Q2 @ Q )
% 3.29/3.48         => ( ( P2 @ ( product_fst_nat_num @ ( product_Pair_nat_num @ P @ Q ) ) )
% 3.29/3.48            & ( Q2 @ ( product_snd_nat_num @ ( product_Pair_nat_num @ P @ Q ) ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % conjI_realizer
% 3.29/3.48  thf(fact_135_conjI__realizer,axiom,
% 3.29/3.48      ! [P2: nat > $o,P: nat,Q2: nat > $o,Q: nat] :
% 3.29/3.48        ( ( P2 @ P )
% 3.29/3.48       => ( ( Q2 @ Q )
% 3.29/3.48         => ( ( P2 @ ( product_fst_nat_nat @ ( product_Pair_nat_nat @ P @ Q ) ) )
% 3.29/3.48            & ( Q2 @ ( product_snd_nat_nat @ ( product_Pair_nat_nat @ P @ Q ) ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % conjI_realizer
% 3.29/3.48  thf(fact_136_conjI__realizer,axiom,
% 3.29/3.48      ! [P2: int > $o,P: int,Q2: int > $o,Q: int] :
% 3.29/3.48        ( ( P2 @ P )
% 3.29/3.48       => ( ( Q2 @ Q )
% 3.29/3.48         => ( ( P2 @ ( product_fst_int_int @ ( product_Pair_int_int @ P @ Q ) ) )
% 3.29/3.48            & ( Q2 @ ( product_snd_int_int @ ( product_Pair_int_int @ P @ Q ) ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % conjI_realizer
% 3.29/3.48  thf(fact_137_conjI__realizer,axiom,
% 3.29/3.48      ! [P2: ref_a > $o,P: ref_a,Q2: heap_e7401611519738050253t_unit > $o,Q: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( P2 @ P )
% 3.29/3.48       => ( ( Q2 @ Q )
% 3.29/3.48         => ( ( P2 @ ( produc473321116828791851t_unit @ ( produc6544324848051098391t_unit @ P @ Q ) ) )
% 3.29/3.48            & ( Q2 @ ( produc1126150082675451753t_unit @ ( produc6544324848051098391t_unit @ P @ Q ) ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % conjI_realizer
% 3.29/3.48  thf(fact_138_surjective__pairing,axiom,
% 3.29/3.48      ! [T2: produc1319942482725812455at_nat] :
% 3.29/3.48        ( T2
% 3.29/3.48        = ( produc9060074326276436823at_nat @ ( produc4486455499028916547at_nat @ T2 ) @ ( produc826222791318859909at_nat @ T2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surjective_pairing
% 3.29/3.48  thf(fact_139_surjective__pairing,axiom,
% 3.29/3.48      ! [T2: produc3843707927480180839at_nat] :
% 3.29/3.48        ( T2
% 3.29/3.48        = ( produc2922128104949294807at_nat @ ( produc6011863565407846595at_nat @ T2 ) @ ( produc2937545259423399429at_nat @ T2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surjective_pairing
% 3.29/3.48  thf(fact_140_surjective__pairing,axiom,
% 3.29/3.48      ! [T2: product_prod_nat_num] :
% 3.29/3.48        ( T2
% 3.29/3.48        = ( product_Pair_nat_num @ ( product_fst_nat_num @ T2 ) @ ( product_snd_nat_num @ T2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surjective_pairing
% 3.29/3.48  thf(fact_141_surjective__pairing,axiom,
% 3.29/3.48      ! [T2: product_prod_nat_nat] :
% 3.29/3.48        ( T2
% 3.29/3.48        = ( product_Pair_nat_nat @ ( product_fst_nat_nat @ T2 ) @ ( product_snd_nat_nat @ T2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surjective_pairing
% 3.29/3.48  thf(fact_142_surjective__pairing,axiom,
% 3.29/3.48      ! [T2: product_prod_int_int] :
% 3.29/3.48        ( T2
% 3.29/3.48        = ( product_Pair_int_int @ ( product_fst_int_int @ T2 ) @ ( product_snd_int_int @ T2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surjective_pairing
% 3.29/3.48  thf(fact_143_surjective__pairing,axiom,
% 3.29/3.48      ! [T2: produc7812382424243267045t_unit] :
% 3.29/3.48        ( T2
% 3.29/3.48        = ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ T2 ) @ ( produc1126150082675451753t_unit @ T2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % surjective_pairing
% 3.29/3.48  thf(fact_144_Ref_Oset__set__swap,axiom,
% 3.29/3.48      ! [R: ref_a,R2: ref_a,X2: a,X3: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( noteq_a_a @ R @ R2 )
% 3.29/3.48       => ( ( set_a @ R @ X2 @ ( set_a @ R2 @ X3 @ H ) )
% 3.29/3.48          = ( set_a @ R2 @ X3 @ ( set_a @ R @ X2 @ H ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % Ref.set_set_swap
% 3.29/3.48  thf(fact_145_next__fresh,axiom,
% 3.29/3.48      ! [R: ref_a,H2: heap_e7401611519738050253t_unit,X2: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( ( produc6544324848051098391t_unit @ R @ H2 )
% 3.29/3.48          = ( alloc_a @ X2 @ H ) )
% 3.29/3.48       => ~ ( present_a @ H @ R ) ) ).
% 3.29/3.48  
% 3.29/3.48  % next_fresh
% 3.29/3.48  thf(fact_146_next__present,axiom,
% 3.29/3.48      ! [R: ref_a,H2: heap_e7401611519738050253t_unit,X2: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.48        ( ( ( produc6544324848051098391t_unit @ R @ H2 )
% 3.29/3.48          = ( alloc_a @ X2 @ H ) )
% 3.29/3.48       => ( present_a @ H2 @ R ) ) ).
% 3.29/3.48  
% 3.29/3.48  % next_present
% 3.29/3.48  thf(fact_147_noteq__I,axiom,
% 3.29/3.48      ! [H: heap_e7401611519738050253t_unit,R: ref_a,R2: ref_a] :
% 3.29/3.48        ( ( present_a @ H @ R )
% 3.29/3.48       => ( ~ ( present_a @ H @ R2 )
% 3.29/3.48         => ( noteq_a_a @ R @ R2 ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % noteq_I
% 3.29/3.48  thf(fact_148_effect__heapE,axiom,
% 3.29/3.48      ! [F: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.48        ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ F ) @ H @ H2 @ R )
% 3.29/3.48       => ~ ( ( H2
% 3.29/3.48              = ( produc1126150082675451753t_unit @ ( F @ H ) ) )
% 3.29/3.48           => ( R
% 3.29/3.48             != ( produc473321116828791851t_unit @ ( F @ H ) ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_heapE
% 3.29/3.48  thf(fact_149_effect__heapI,axiom,
% 3.29/3.48      ! [H2: heap_e7401611519738050253t_unit,F: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,H: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.48        ( ( H2
% 3.29/3.48          = ( produc1126150082675451753t_unit @ ( F @ H ) ) )
% 3.29/3.48       => ( ( R
% 3.29/3.48            = ( produc473321116828791851t_unit @ ( F @ H ) ) )
% 3.29/3.48         => ( heap_effect_ref_a @ ( heap_heap_ref_a @ F ) @ H @ H2 @ R ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % effect_heapI
% 3.29/3.48  thf(fact_150_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.29/3.48      ! [P2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o,X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat,A: produc1319942482725812455at_nat] :
% 3.29/3.48        ( ( P2 @ X2 @ Y3 )
% 3.29/3.48       => ( ( A
% 3.29/3.48            = ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.48         => ( P2 @ ( produc4486455499028916547at_nat @ A ) @ ( produc826222791318859909at_nat @ A ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % BNF_Greatest_Fixpoint.subst_Pair
% 3.29/3.48  thf(fact_151_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.29/3.48      ! [P2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,A: produc3843707927480180839at_nat] :
% 3.29/3.48        ( ( P2 @ X2 @ Y3 )
% 3.29/3.48       => ( ( A
% 3.29/3.48            = ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.48         => ( P2 @ ( produc6011863565407846595at_nat @ A ) @ ( produc2937545259423399429at_nat @ A ) ) ) ) ).
% 3.29/3.48  
% 3.29/3.48  % BNF_Greatest_Fixpoint.subst_Pair
% 3.29/3.48  thf(fact_152_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.29/3.48      ! [P2: nat > num > $o,X2: nat,Y3: num,A: product_prod_nat_num] :
% 3.29/3.48        ( ( P2 @ X2 @ Y3 )
% 3.29/3.48       => ( ( A
% 3.29/3.49            = ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.49         => ( P2 @ ( product_fst_nat_num @ A ) @ ( product_snd_nat_num @ A ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % BNF_Greatest_Fixpoint.subst_Pair
% 3.29/3.49  thf(fact_153_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.29/3.49      ! [P2: nat > nat > $o,X2: nat,Y3: nat,A: product_prod_nat_nat] :
% 3.29/3.49        ( ( P2 @ X2 @ Y3 )
% 3.29/3.49       => ( ( A
% 3.29/3.49            = ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.49         => ( P2 @ ( product_fst_nat_nat @ A ) @ ( product_snd_nat_nat @ A ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % BNF_Greatest_Fixpoint.subst_Pair
% 3.29/3.49  thf(fact_154_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.29/3.49      ! [P2: int > int > $o,X2: int,Y3: int,A: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ X2 @ Y3 )
% 3.29/3.49       => ( ( A
% 3.29/3.49            = ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.49         => ( P2 @ ( product_fst_int_int @ A ) @ ( product_snd_int_int @ A ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % BNF_Greatest_Fixpoint.subst_Pair
% 3.29/3.49  thf(fact_155_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.29/3.49      ! [P2: ref_a > heap_e7401611519738050253t_unit > $o,X2: ref_a,Y3: heap_e7401611519738050253t_unit,A: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( P2 @ X2 @ Y3 )
% 3.29/3.49       => ( ( A
% 3.29/3.49            = ( produc6544324848051098391t_unit @ X2 @ Y3 ) )
% 3.29/3.49         => ( P2 @ ( produc473321116828791851t_unit @ A ) @ ( produc1126150082675451753t_unit @ A ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % BNF_Greatest_Fixpoint.subst_Pair
% 3.29/3.49  thf(fact_156_sndI,axiom,
% 3.29/3.49      ! [X2: produc1319942482725812455at_nat,Y3: set_Pr4329608150637261639at_nat,Z2: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( produc9060074326276436823at_nat @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( produc826222791318859909at_nat @ X2 )
% 3.29/3.49          = Z2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndI
% 3.29/3.49  thf(fact_157_sndI,axiom,
% 3.29/3.49      ! [X2: produc3843707927480180839at_nat,Y3: set_Pr1261947904930325089at_nat,Z2: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( produc2922128104949294807at_nat @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( produc2937545259423399429at_nat @ X2 )
% 3.29/3.49          = Z2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndI
% 3.29/3.49  thf(fact_158_sndI,axiom,
% 3.29/3.49      ! [X2: product_prod_nat_num,Y3: nat,Z2: num] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( product_Pair_nat_num @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( product_snd_nat_num @ X2 )
% 3.29/3.49          = Z2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndI
% 3.29/3.49  thf(fact_159_sndI,axiom,
% 3.29/3.49      ! [X2: product_prod_nat_nat,Y3: nat,Z2: nat] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( product_Pair_nat_nat @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( product_snd_nat_nat @ X2 )
% 3.29/3.49          = Z2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndI
% 3.29/3.49  thf(fact_160_sndI,axiom,
% 3.29/3.49      ! [X2: product_prod_int_int,Y3: int,Z2: int] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( product_Pair_int_int @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( product_snd_int_int @ X2 )
% 3.29/3.49          = Z2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndI
% 3.29/3.49  thf(fact_161_sndI,axiom,
% 3.29/3.49      ! [X2: produc7812382424243267045t_unit,Y3: ref_a,Z2: heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( produc6544324848051098391t_unit @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( produc1126150082675451753t_unit @ X2 )
% 3.29/3.49          = Z2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndI
% 3.29/3.49  thf(fact_162_eq__snd__iff,axiom,
% 3.29/3.49      ! [B: set_Pr4329608150637261639at_nat,P: produc1319942482725812455at_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( produc826222791318859909at_nat @ P ) )
% 3.29/3.49        = ( ? [A5: set_Pr4329608150637261639at_nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( produc9060074326276436823at_nat @ A5 @ B ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_snd_iff
% 3.29/3.49  thf(fact_163_eq__snd__iff,axiom,
% 3.29/3.49      ! [B: set_Pr1261947904930325089at_nat,P: produc3843707927480180839at_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( produc2937545259423399429at_nat @ P ) )
% 3.29/3.49        = ( ? [A5: set_Pr1261947904930325089at_nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( produc2922128104949294807at_nat @ A5 @ B ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_snd_iff
% 3.29/3.49  thf(fact_164_eq__snd__iff,axiom,
% 3.29/3.49      ! [B: num,P: product_prod_nat_num] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( product_snd_nat_num @ P ) )
% 3.29/3.49        = ( ? [A5: nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( product_Pair_nat_num @ A5 @ B ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_snd_iff
% 3.29/3.49  thf(fact_165_eq__snd__iff,axiom,
% 3.29/3.49      ! [B: nat,P: product_prod_nat_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( product_snd_nat_nat @ P ) )
% 3.29/3.49        = ( ? [A5: nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( product_Pair_nat_nat @ A5 @ B ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_snd_iff
% 3.29/3.49  thf(fact_166_eq__snd__iff,axiom,
% 3.29/3.49      ! [B: int,P: product_prod_int_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( product_snd_int_int @ P ) )
% 3.29/3.49        = ( ? [A5: int] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( product_Pair_int_int @ A5 @ B ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_snd_iff
% 3.29/3.49  thf(fact_167_eq__snd__iff,axiom,
% 3.29/3.49      ! [B: heap_e7401611519738050253t_unit,P: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( produc1126150082675451753t_unit @ P ) )
% 3.29/3.49        = ( ? [A5: ref_a] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( produc6544324848051098391t_unit @ A5 @ B ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_snd_iff
% 3.29/3.49  thf(fact_168_fstI,axiom,
% 3.29/3.49      ! [X2: produc1319942482725812455at_nat,Y3: set_Pr4329608150637261639at_nat,Z2: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( produc9060074326276436823at_nat @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( produc4486455499028916547at_nat @ X2 )
% 3.29/3.49          = Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstI
% 3.29/3.49  thf(fact_169_fstI,axiom,
% 3.29/3.49      ! [X2: produc3843707927480180839at_nat,Y3: set_Pr1261947904930325089at_nat,Z2: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( produc2922128104949294807at_nat @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( produc6011863565407846595at_nat @ X2 )
% 3.29/3.49          = Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstI
% 3.29/3.49  thf(fact_170_fstI,axiom,
% 3.29/3.49      ! [X2: product_prod_nat_num,Y3: nat,Z2: num] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( product_Pair_nat_num @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( product_fst_nat_num @ X2 )
% 3.29/3.49          = Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstI
% 3.29/3.49  thf(fact_171_fstI,axiom,
% 3.29/3.49      ! [X2: product_prod_nat_nat,Y3: nat,Z2: nat] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( product_Pair_nat_nat @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( product_fst_nat_nat @ X2 )
% 3.29/3.49          = Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstI
% 3.29/3.49  thf(fact_172_fstI,axiom,
% 3.29/3.49      ! [X2: product_prod_int_int,Y3: int,Z2: int] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( product_Pair_int_int @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( product_fst_int_int @ X2 )
% 3.29/3.49          = Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstI
% 3.29/3.49  thf(fact_173_fstI,axiom,
% 3.29/3.49      ! [X2: produc7812382424243267045t_unit,Y3: ref_a,Z2: heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( X2
% 3.29/3.49          = ( produc6544324848051098391t_unit @ Y3 @ Z2 ) )
% 3.29/3.49       => ( ( produc473321116828791851t_unit @ X2 )
% 3.29/3.49          = Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstI
% 3.29/3.49  thf(fact_174_eq__fst__iff,axiom,
% 3.29/3.49      ! [A: set_Pr4329608150637261639at_nat,P: produc1319942482725812455at_nat] :
% 3.29/3.49        ( ( A
% 3.29/3.49          = ( produc4486455499028916547at_nat @ P ) )
% 3.29/3.49        = ( ? [B4: set_Pr4329608150637261639at_nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( produc9060074326276436823at_nat @ A @ B4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_fst_iff
% 3.29/3.49  thf(fact_175_eq__fst__iff,axiom,
% 3.29/3.49      ! [A: set_Pr1261947904930325089at_nat,P: produc3843707927480180839at_nat] :
% 3.29/3.49        ( ( A
% 3.29/3.49          = ( produc6011863565407846595at_nat @ P ) )
% 3.29/3.49        = ( ? [B4: set_Pr1261947904930325089at_nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( produc2922128104949294807at_nat @ A @ B4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_fst_iff
% 3.29/3.49  thf(fact_176_eq__fst__iff,axiom,
% 3.29/3.49      ! [A: nat,P: product_prod_nat_num] :
% 3.29/3.49        ( ( A
% 3.29/3.49          = ( product_fst_nat_num @ P ) )
% 3.29/3.49        = ( ? [B4: num] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( product_Pair_nat_num @ A @ B4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_fst_iff
% 3.29/3.49  thf(fact_177_eq__fst__iff,axiom,
% 3.29/3.49      ! [A: nat,P: product_prod_nat_nat] :
% 3.29/3.49        ( ( A
% 3.29/3.49          = ( product_fst_nat_nat @ P ) )
% 3.29/3.49        = ( ? [B4: nat] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( product_Pair_nat_nat @ A @ B4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_fst_iff
% 3.29/3.49  thf(fact_178_eq__fst__iff,axiom,
% 3.29/3.49      ! [A: int,P: product_prod_int_int] :
% 3.29/3.49        ( ( A
% 3.29/3.49          = ( product_fst_int_int @ P ) )
% 3.29/3.49        = ( ? [B4: int] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( product_Pair_int_int @ A @ B4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_fst_iff
% 3.29/3.49  thf(fact_179_eq__fst__iff,axiom,
% 3.29/3.49      ! [A: ref_a,P: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( A
% 3.29/3.49          = ( produc473321116828791851t_unit @ P ) )
% 3.29/3.49        = ( ? [B4: heap_e7401611519738050253t_unit] :
% 3.29/3.49              ( P
% 3.29/3.49              = ( produc6544324848051098391t_unit @ A @ B4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_fst_iff
% 3.29/3.49  thf(fact_180_effect__guardE,axiom,
% 3.29/3.49      ! [P2: heap_e7401611519738050253t_unit > $o,F: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ ( heap_guard_ref_a @ P2 @ F ) @ H @ H2 @ R )
% 3.29/3.49       => ~ ( ( H2
% 3.29/3.49              = ( produc1126150082675451753t_unit @ ( F @ H ) ) )
% 3.29/3.49           => ( ( R
% 3.29/3.49                = ( produc473321116828791851t_unit @ ( F @ H ) ) )
% 3.29/3.49             => ~ ( P2 @ H ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_guardE
% 3.29/3.49  thf(fact_181_effect__guardI,axiom,
% 3.29/3.49      ! [P2: heap_e7401611519738050253t_unit > $o,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,F: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,R: ref_a] :
% 3.29/3.49        ( ( P2 @ H )
% 3.29/3.49       => ( ( H2
% 3.29/3.49            = ( produc1126150082675451753t_unit @ ( F @ H ) ) )
% 3.29/3.49         => ( ( R
% 3.29/3.49              = ( produc473321116828791851t_unit @ ( F @ H ) ) )
% 3.29/3.49           => ( heap_effect_ref_a @ ( heap_guard_ref_a @ P2 @ F ) @ H @ H2 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_guardI
% 3.29/3.49  thf(fact_182_effect__ifI,axiom,
% 3.29/3.49      ! [C: $o,T2: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a,E: heap_Heap_ref_a] :
% 3.29/3.49        ( ( C
% 3.29/3.49         => ( heap_effect_ref_a @ T2 @ H @ H2 @ R ) )
% 3.29/3.49       => ( ( ~ C
% 3.29/3.49           => ( heap_effect_ref_a @ E @ H @ H2 @ R ) )
% 3.29/3.49         => ( heap_effect_ref_a @ ( if_Heap_Heap_ref_a @ C @ T2 @ E ) @ H @ H2 @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_ifI
% 3.29/3.49  thf(fact_183_effect__deterministic_I2_J,axiom,
% 3.29/3.49      ! [F: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,A: ref_a,H3: heap_e7401611519738050253t_unit,B: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ F @ H @ H2 @ A )
% 3.29/3.49       => ( ( heap_effect_ref_a @ F @ H @ H3 @ B )
% 3.29/3.49         => ( H2 = H3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_deterministic(2)
% 3.29/3.49  thf(fact_184_effect__deterministic_I1_J,axiom,
% 3.29/3.49      ! [F: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,A: ref_a,H3: heap_e7401611519738050253t_unit,B: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ F @ H @ H2 @ A )
% 3.29/3.49       => ( ( heap_effect_ref_a @ F @ H @ H3 @ B )
% 3.29/3.49         => ( A = B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_deterministic(1)
% 3.29/3.49  thf(fact_185_effect__ifE,axiom,
% 3.29/3.49      ! [C: $o,T2: heap_Heap_ref_a,E: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ ( if_Heap_Heap_ref_a @ C @ T2 @ E ) @ H @ H2 @ R )
% 3.29/3.49       => ( ( C
% 3.29/3.49           => ~ ( heap_effect_ref_a @ T2 @ H @ H2 @ R ) )
% 3.29/3.49         => ~ ( ~ C
% 3.29/3.49             => ~ ( heap_effect_ref_a @ E @ H @ H2 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_ifE
% 3.29/3.49  thf(fact_186_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: $o > nat,X2: $o,C: num,G: $o > num,A4: set_o] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_o @ X2 @ A4 )
% 3.29/3.49           => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ B @ C ) @ ( bNF_Gr7727518618234538026at_num @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_187_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: nat > nat,X2: nat,C: num,G: nat > num,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49           => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ B @ C ) @ ( bNF_Gr3875488559241464598at_num @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_188_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: int > nat,X2: int,C: num,G: int > num,A4: set_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_int @ X2 @ A4 )
% 3.29/3.49           => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ B @ C ) @ ( bNF_Gr4247142119478309234at_num @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_189_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: $o > nat,X2: $o,C: nat,G: $o > nat,A4: set_o] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_o @ X2 @ A4 )
% 3.29/3.49           => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ B @ C ) @ ( bNF_Gr1946814795223983584at_nat @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_190_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: nat > nat,X2: nat,C: nat,G: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49           => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ B @ C ) @ ( bNF_Gr7318156773085685964at_nat @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_191_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: int > nat,X2: int,C: nat,G: int > nat,A4: set_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_int @ X2 @ A4 )
% 3.29/3.49           => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ B @ C ) @ ( bNF_Gr7689810333322530600at_nat @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_192_image2__eqI,axiom,
% 3.29/3.49      ! [B: int,F: $o > int,X2: $o,C: int,G: $o > int,A4: set_o] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_o @ X2 @ A4 )
% 3.29/3.49           => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ B @ C ) @ ( bNF_Gr2943678036615987864nt_int @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_193_image2__eqI,axiom,
% 3.29/3.49      ! [B: int,F: nat > int,X2: nat,C: int,G: nat > int,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49           => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ B @ C ) @ ( bNF_Gr8315020014477690244nt_int @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_194_image2__eqI,axiom,
% 3.29/3.49      ! [B: int,F: int > int,X2: int,C: int,G: int > int,A4: set_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member_int @ X2 @ A4 )
% 3.29/3.49           => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ B @ C ) @ ( bNF_Gr8686673574714534880nt_int @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_195_image2__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: product_prod_nat_nat > nat,X2: product_prod_nat_nat,C: num,G: product_prod_nat_nat > num,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( C
% 3.29/3.49            = ( G @ X2 ) )
% 3.29/3.49         => ( ( member8440522571783428010at_nat @ X2 @ A4 )
% 3.29/3.49           => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ B @ C ) @ ( bNF_Gr5511461681843259283at_num @ A4 @ F @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image2_eqI
% 3.29/3.49  thf(fact_196_lim__set,axiom,
% 3.29/3.49      ! [R: ref_a,V: a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( lim_Product_unit @ ( set_a @ R @ V @ H ) )
% 3.29/3.49        = ( lim_Product_unit @ H ) ) ).
% 3.29/3.49  
% 3.29/3.49  % lim_set
% 3.29/3.49  thf(fact_197_prod_Osplit__sel__asm,axiom,
% 3.29/3.49      ! [P2: ( product_prod_nat_nat > product_prod_nat_nat ) > $o,F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( P2 @ ( produc27273713700761075at_nat @ F @ Prod ) )
% 3.29/3.49        = ( ~ ( ( Prod
% 3.29/3.49                = ( product_Pair_nat_nat @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) )
% 3.29/3.49              & ~ ( P2 @ ( F @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel_asm
% 3.29/3.49  thf(fact_198_prod_Osplit__sel__asm,axiom,
% 3.29/3.49      ! [P2: ( product_prod_nat_nat > $o ) > $o,F: nat > nat > product_prod_nat_nat > $o,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( P2 @ ( produc8739625826339149834_nat_o @ F @ Prod ) )
% 3.29/3.49        = ( ~ ( ( Prod
% 3.29/3.49                = ( product_Pair_nat_nat @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) )
% 3.29/3.49              & ~ ( P2 @ ( F @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel_asm
% 3.29/3.49  thf(fact_199_prod_Osplit__sel__asm,axiom,
% 3.29/3.49      ! [P2: product_prod_int_int > $o,F: int > int > product_prod_int_int,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ ( produc4245557441103728435nt_int @ F @ Prod ) )
% 3.29/3.49        = ( ~ ( ( Prod
% 3.29/3.49                = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) )
% 3.29/3.49              & ~ ( P2 @ ( F @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel_asm
% 3.29/3.49  thf(fact_200_prod_Osplit__sel__asm,axiom,
% 3.29/3.49      ! [P2: $o > $o,F: int > int > $o,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ ( produc4947309494688390418_int_o @ F @ Prod ) )
% 3.29/3.49        = ( ~ ( ( Prod
% 3.29/3.49                = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) )
% 3.29/3.49              & ~ ( P2 @ ( F @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel_asm
% 3.29/3.49  thf(fact_201_prod_Osplit__sel__asm,axiom,
% 3.29/3.49      ! [P2: int > $o,F: int > int > int,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ ( produc8211389475949308722nt_int @ F @ Prod ) )
% 3.29/3.49        = ( ~ ( ( Prod
% 3.29/3.49                = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) )
% 3.29/3.49              & ~ ( P2 @ ( F @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel_asm
% 3.29/3.49  thf(fact_202_prod_Osplit__sel,axiom,
% 3.29/3.49      ! [P2: ( product_prod_nat_nat > product_prod_nat_nat ) > $o,F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( P2 @ ( produc27273713700761075at_nat @ F @ Prod ) )
% 3.29/3.49        = ( ( Prod
% 3.29/3.49            = ( product_Pair_nat_nat @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) )
% 3.29/3.49         => ( P2 @ ( F @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel
% 3.29/3.49  thf(fact_203_prod_Osplit__sel,axiom,
% 3.29/3.49      ! [P2: ( product_prod_nat_nat > $o ) > $o,F: nat > nat > product_prod_nat_nat > $o,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( P2 @ ( produc8739625826339149834_nat_o @ F @ Prod ) )
% 3.29/3.49        = ( ( Prod
% 3.29/3.49            = ( product_Pair_nat_nat @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) )
% 3.29/3.49         => ( P2 @ ( F @ ( product_fst_nat_nat @ Prod ) @ ( product_snd_nat_nat @ Prod ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel
% 3.29/3.49  thf(fact_204_prod_Osplit__sel,axiom,
% 3.29/3.49      ! [P2: product_prod_int_int > $o,F: int > int > product_prod_int_int,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ ( produc4245557441103728435nt_int @ F @ Prod ) )
% 3.29/3.49        = ( ( Prod
% 3.29/3.49            = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) )
% 3.29/3.49         => ( P2 @ ( F @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel
% 3.29/3.49  thf(fact_205_prod_Osplit__sel,axiom,
% 3.29/3.49      ! [P2: $o > $o,F: int > int > $o,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ ( produc4947309494688390418_int_o @ F @ Prod ) )
% 3.29/3.49        = ( ( Prod
% 3.29/3.49            = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) )
% 3.29/3.49         => ( P2 @ ( F @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel
% 3.29/3.49  thf(fact_206_prod_Osplit__sel,axiom,
% 3.29/3.49      ! [P2: int > $o,F: int > int > int,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( P2 @ ( produc8211389475949308722nt_int @ F @ Prod ) )
% 3.29/3.49        = ( ( Prod
% 3.29/3.49            = ( product_Pair_int_int @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) )
% 3.29/3.49         => ( P2 @ ( F @ ( product_fst_int_int @ Prod ) @ ( product_snd_int_int @ Prod ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.split_sel
% 3.29/3.49  thf(fact_207_ssubst__Pair__rhs,axiom,
% 3.29/3.49      ! [R: set_Pr4329608150637261639at_nat,S2: set_Pr4329608150637261639at_nat,R3: set_Pr7459493094073627847at_nat,S3: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ R @ S2 ) @ R3 )
% 3.29/3.49       => ( ( S3 = S2 )
% 3.29/3.49         => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ R @ S3 ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ssubst_Pair_rhs
% 3.29/3.49  thf(fact_208_ssubst__Pair__rhs,axiom,
% 3.29/3.49      ! [R: set_Pr1261947904930325089at_nat,S2: set_Pr1261947904930325089at_nat,R3: set_Pr4329608150637261639at_nat,S3: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ R @ S2 ) @ R3 )
% 3.29/3.49       => ( ( S3 = S2 )
% 3.29/3.49         => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ R @ S3 ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ssubst_Pair_rhs
% 3.29/3.49  thf(fact_209_ssubst__Pair__rhs,axiom,
% 3.29/3.49      ! [R: nat,S2: num,R3: set_Pr6200539531224447659at_num,S3: num] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ R @ S2 ) @ R3 )
% 3.29/3.49       => ( ( S3 = S2 )
% 3.29/3.49         => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ R @ S3 ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ssubst_Pair_rhs
% 3.29/3.49  thf(fact_210_ssubst__Pair__rhs,axiom,
% 3.29/3.49      ! [R: nat,S2: nat,R3: set_Pr1261947904930325089at_nat,S3: nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ R @ S2 ) @ R3 )
% 3.29/3.49       => ( ( S3 = S2 )
% 3.29/3.49         => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ R @ S3 ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ssubst_Pair_rhs
% 3.29/3.49  thf(fact_211_ssubst__Pair__rhs,axiom,
% 3.29/3.49      ! [R: int,S2: int,R3: set_Pr958786334691620121nt_int,S3: int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ R @ S2 ) @ R3 )
% 3.29/3.49       => ( ( S3 = S2 )
% 3.29/3.49         => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ R @ S3 ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ssubst_Pair_rhs
% 3.29/3.49  thf(fact_212_effect__raiseE,axiom,
% 3.29/3.49      ! [X2: literal,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.49        ~ ( heap_effect_ref_a @ ( heap_raise_ref_a @ X2 ) @ H @ H2 @ R ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_raiseE
% 3.29/3.49  thf(fact_213_effect__updateE,axiom,
% 3.29/3.49      ! [R2: ref_a,V: a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: product_unit] :
% 3.29/3.49        ( ( heap_e2830298082929533060t_unit @ ( update_a @ R2 @ V ) @ H @ H2 @ R )
% 3.29/3.49       => ( H2
% 3.29/3.49          = ( set_a @ R2 @ V @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_updateE
% 3.29/3.49  thf(fact_214_curryI,axiom,
% 3.29/3.49      ! [F: produc1319942482725812455at_nat > $o,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( F @ ( produc9060074326276436823at_nat @ A @ B ) )
% 3.29/3.49       => ( produc447603880154497357_nat_o @ F @ A @ B ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryI
% 3.29/3.49  thf(fact_215_curryI,axiom,
% 3.29/3.49      ! [F: produc3843707927480180839at_nat > $o,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( F @ ( produc2922128104949294807at_nat @ A @ B ) )
% 3.29/3.49       => ( produc7820828192191229133_nat_o @ F @ A @ B ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryI
% 3.29/3.49  thf(fact_216_curryI,axiom,
% 3.29/3.49      ! [F: product_prod_nat_num > $o,A: nat,B: num] :
% 3.29/3.49        ( ( F @ ( product_Pair_nat_num @ A @ B ) )
% 3.29/3.49       => ( produc156083480235303841_num_o @ F @ A @ B ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryI
% 3.29/3.49  thf(fact_217_curryI,axiom,
% 3.29/3.49      ! [F: product_prod_nat_nat > $o,A: nat,B: nat] :
% 3.29/3.49        ( ( F @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.49       => ( produc1310100445399344235_nat_o @ F @ A @ B ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryI
% 3.29/3.49  thf(fact_218_curryI,axiom,
% 3.29/3.49      ! [F: product_prod_int_int > $o,A: int,B: int] :
% 3.29/3.49        ( ( F @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.49       => ( produc175634133007206835_int_o @ F @ A @ B ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryI
% 3.29/3.49  thf(fact_219_case__prod__curry,axiom,
% 3.29/3.49      ! [F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.49        ( ( produc27273713700761075at_nat @ ( produc3610074571335452306at_nat @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_curry
% 3.29/3.49  thf(fact_220_case__prod__curry,axiom,
% 3.29/3.49      ! [F: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.49        ( ( produc8739625826339149834_nat_o @ ( produc3704529784387675049_nat_o @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_curry
% 3.29/3.49  thf(fact_221_case__prod__curry,axiom,
% 3.29/3.49      ! [F: product_prod_int_int > product_prod_int_int] :
% 3.29/3.49        ( ( produc4245557441103728435nt_int @ ( produc8249235968001453780nt_int @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_curry
% 3.29/3.49  thf(fact_222_case__prod__curry,axiom,
% 3.29/3.49      ! [F: product_prod_int_int > $o] :
% 3.29/3.49        ( ( produc4947309494688390418_int_o @ ( produc175634133007206835_int_o @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_curry
% 3.29/3.49  thf(fact_223_case__prod__curry,axiom,
% 3.29/3.49      ! [F: product_prod_int_int > int] :
% 3.29/3.49        ( ( produc8211389475949308722nt_int @ ( produc1016772743285680337nt_int @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_curry
% 3.29/3.49  thf(fact_224_curry__case__prod,axiom,
% 3.29/3.49      ! [F: nat > nat > product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.49        ( ( produc3610074571335452306at_nat @ ( produc27273713700761075at_nat @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % curry_case_prod
% 3.29/3.49  thf(fact_225_curry__case__prod,axiom,
% 3.29/3.49      ! [F: nat > nat > product_prod_nat_nat > $o] :
% 3.29/3.49        ( ( produc3704529784387675049_nat_o @ ( produc8739625826339149834_nat_o @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % curry_case_prod
% 3.29/3.49  thf(fact_226_curry__case__prod,axiom,
% 3.29/3.49      ! [F: int > int > product_prod_int_int] :
% 3.29/3.49        ( ( produc8249235968001453780nt_int @ ( produc4245557441103728435nt_int @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % curry_case_prod
% 3.29/3.49  thf(fact_227_curry__case__prod,axiom,
% 3.29/3.49      ! [F: int > int > $o] :
% 3.29/3.49        ( ( produc175634133007206835_int_o @ ( produc4947309494688390418_int_o @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % curry_case_prod
% 3.29/3.49  thf(fact_228_curry__case__prod,axiom,
% 3.29/3.49      ! [F: int > int > int] :
% 3.29/3.49        ( ( produc1016772743285680337nt_int @ ( produc8211389475949308722nt_int @ F ) )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % curry_case_prod
% 3.29/3.49  thf(fact_229_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: $o,C: nat > num > set_o,P: product_prod_nat_num] :
% 3.29/3.49        ( ( member_o @ Z2 @ ( produc836176033315069408_set_o @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_num @ X @ Y ) )
% 3.29/3.49             => ~ ( member_o @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_230_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: nat,C: nat > num > set_nat,P: product_prod_nat_num] :
% 3.29/3.49        ( ( member_nat @ Z2 @ ( produc4130284055270567454et_nat @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_num @ X @ Y ) )
% 3.29/3.49             => ~ ( member_nat @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_231_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: int,C: nat > num > set_int,P: product_prod_nat_num] :
% 3.29/3.49        ( ( member_int @ Z2 @ ( produc9175805072616146554et_int @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_num @ X @ Y ) )
% 3.29/3.49             => ~ ( member_int @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_232_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: $o,C: nat > nat > set_o,P: product_prod_nat_nat] :
% 3.29/3.49        ( ( member_o @ Z2 @ ( produc59986286002894506_set_o @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.49             => ~ ( member_o @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_233_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: nat,C: nat > nat > set_nat,P: product_prod_nat_nat] :
% 3.29/3.49        ( ( member_nat @ Z2 @ ( produc6189476227299908564et_nat @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.49             => ~ ( member_nat @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_234_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: int,C: nat > nat > set_int,P: product_prod_nat_nat] :
% 3.29/3.49        ( ( member_int @ Z2 @ ( produc2011625207790711856et_int @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.49             => ~ ( member_int @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_235_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: $o,C: int > int > set_o,P: product_prod_int_int] :
% 3.29/3.49        ( ( member_o @ Z2 @ ( produc4257766111578684402_set_o @ C @ P ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.49             => ~ ( member_o @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_236_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: nat,C: int > int > set_nat,P: product_prod_int_int] :
% 3.29/3.49        ( ( member_nat @ Z2 @ ( produc4251311855443802252et_nat @ C @ P ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.49             => ~ ( member_nat @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_237_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: int,C: int > int > set_int,P: product_prod_int_int] :
% 3.29/3.49        ( ( member_int @ Z2 @ ( produc73460835934605544et_int @ C @ P ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.49             => ~ ( member_int @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_238_mem__case__prodE,axiom,
% 3.29/3.49      ! [Z2: product_prod_nat_nat,C: nat > num > set_Pr1261947904930325089at_nat,P: product_prod_nat_num] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ Z2 @ ( produc859037500352796105at_nat @ C @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_num @ X @ Y ) )
% 3.29/3.49             => ~ ( member8440522571783428010at_nat @ Z2 @ ( C @ X @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % mem_case_prodE
% 3.29/3.49  thf(fact_239_old_Oprod_Ocase,axiom,
% 3.29/3.49      ! [F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,X1: nat,X22: nat] :
% 3.29/3.49        ( ( produc27273713700761075at_nat @ F @ ( product_Pair_nat_nat @ X1 @ X22 ) )
% 3.29/3.49        = ( F @ X1 @ X22 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % old.prod.case
% 3.29/3.49  thf(fact_240_old_Oprod_Ocase,axiom,
% 3.29/3.49      ! [F: nat > nat > product_prod_nat_nat > $o,X1: nat,X22: nat] :
% 3.29/3.49        ( ( produc8739625826339149834_nat_o @ F @ ( product_Pair_nat_nat @ X1 @ X22 ) )
% 3.29/3.49        = ( F @ X1 @ X22 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % old.prod.case
% 3.29/3.49  thf(fact_241_old_Oprod_Ocase,axiom,
% 3.29/3.49      ! [F: int > int > product_prod_int_int,X1: int,X22: int] :
% 3.29/3.49        ( ( produc4245557441103728435nt_int @ F @ ( product_Pair_int_int @ X1 @ X22 ) )
% 3.29/3.49        = ( F @ X1 @ X22 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % old.prod.case
% 3.29/3.49  thf(fact_242_old_Oprod_Ocase,axiom,
% 3.29/3.49      ! [F: int > int > $o,X1: int,X22: int] :
% 3.29/3.49        ( ( produc4947309494688390418_int_o @ F @ ( product_Pair_int_int @ X1 @ X22 ) )
% 3.29/3.49        = ( F @ X1 @ X22 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % old.prod.case
% 3.29/3.49  thf(fact_243_old_Oprod_Ocase,axiom,
% 3.29/3.49      ! [F: int > int > int,X1: int,X22: int] :
% 3.29/3.49        ( ( produc8211389475949308722nt_int @ F @ ( product_Pair_int_int @ X1 @ X22 ) )
% 3.29/3.49        = ( F @ X1 @ X22 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % old.prod.case
% 3.29/3.49  thf(fact_244_curryD,axiom,
% 3.29/3.49      ! [F: produc1319942482725812455at_nat > $o,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( produc447603880154497357_nat_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( produc9060074326276436823at_nat @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryD
% 3.29/3.49  thf(fact_245_curryD,axiom,
% 3.29/3.49      ! [F: produc3843707927480180839at_nat > $o,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( produc7820828192191229133_nat_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( produc2922128104949294807at_nat @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryD
% 3.29/3.49  thf(fact_246_curryD,axiom,
% 3.29/3.49      ! [F: product_prod_nat_num > $o,A: nat,B: num] :
% 3.29/3.49        ( ( produc156083480235303841_num_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( product_Pair_nat_num @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryD
% 3.29/3.49  thf(fact_247_curryD,axiom,
% 3.29/3.49      ! [F: product_prod_nat_nat > $o,A: nat,B: nat] :
% 3.29/3.49        ( ( produc1310100445399344235_nat_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( product_Pair_nat_nat @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryD
% 3.29/3.49  thf(fact_248_curryD,axiom,
% 3.29/3.49      ! [F: product_prod_int_int > $o,A: int,B: int] :
% 3.29/3.49        ( ( produc175634133007206835_int_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( product_Pair_int_int @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryD
% 3.29/3.49  thf(fact_249_curryE,axiom,
% 3.29/3.49      ! [F: produc1319942482725812455at_nat > $o,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( produc447603880154497357_nat_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( produc9060074326276436823at_nat @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryE
% 3.29/3.49  thf(fact_250_curryE,axiom,
% 3.29/3.49      ! [F: produc3843707927480180839at_nat > $o,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( produc7820828192191229133_nat_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( produc2922128104949294807at_nat @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryE
% 3.29/3.49  thf(fact_251_curryE,axiom,
% 3.29/3.49      ! [F: product_prod_nat_num > $o,A: nat,B: num] :
% 3.29/3.49        ( ( produc156083480235303841_num_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( product_Pair_nat_num @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryE
% 3.29/3.49  thf(fact_252_curryE,axiom,
% 3.29/3.49      ! [F: product_prod_nat_nat > $o,A: nat,B: nat] :
% 3.29/3.49        ( ( produc1310100445399344235_nat_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( product_Pair_nat_nat @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryE
% 3.29/3.49  thf(fact_253_curryE,axiom,
% 3.29/3.49      ! [F: product_prod_int_int > $o,A: int,B: int] :
% 3.29/3.49        ( ( produc175634133007206835_int_o @ F @ A @ B )
% 3.29/3.49       => ( F @ ( product_Pair_int_int @ A @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % curryE
% 3.29/3.49  thf(fact_254_Product__Type_OCollect__case__prodD,axiom,
% 3.29/3.49      ! [X2: produc3843707927480180839at_nat,A4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ X2 @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ A4 ) ) )
% 3.29/3.49       => ( A4 @ ( produc6011863565407846595at_nat @ X2 ) @ ( produc2937545259423399429at_nat @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Product_Type.Collect_case_prodD
% 3.29/3.49  thf(fact_255_Product__Type_OCollect__case__prodD,axiom,
% 3.29/3.49      ! [X2: product_prod_nat_nat,A4: nat > nat > $o] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ X2 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ A4 ) ) )
% 3.29/3.49       => ( A4 @ ( product_fst_nat_nat @ X2 ) @ ( product_snd_nat_nat @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Product_Type.Collect_case_prodD
% 3.29/3.49  thf(fact_256_Product__Type_OCollect__case__prodD,axiom,
% 3.29/3.49      ! [X2: produc7812382424243267045t_unit,A4: ref_a > heap_e7401611519738050253t_unit > $o] :
% 3.29/3.49        ( ( member7849944260330398460t_unit @ X2 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ A4 ) ) )
% 3.29/3.49       => ( A4 @ ( produc473321116828791851t_unit @ X2 ) @ ( produc1126150082675451753t_unit @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Product_Type.Collect_case_prodD
% 3.29/3.49  thf(fact_257_Product__Type_OCollect__case__prodD,axiom,
% 3.29/3.49      ! [X2: product_prod_int_int,A4: int > int > $o] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ X2 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ A4 ) ) )
% 3.29/3.49       => ( A4 @ ( product_fst_int_int @ X2 ) @ ( product_snd_int_int @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Product_Type.Collect_case_prodD
% 3.29/3.49  thf(fact_258_effect__returnI,axiom,
% 3.29/3.49      ! [H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,X2: ref_a] :
% 3.29/3.49        ( ( H = H2 )
% 3.29/3.49       => ( heap_effect_ref_a @ ( heap_return_ref_a @ X2 ) @ H @ H2 @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_returnI
% 3.29/3.49  thf(fact_259_effect__returnE,axiom,
% 3.29/3.49      ! [X2: ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ ( heap_return_ref_a @ X2 ) @ H @ H2 @ R )
% 3.29/3.49       => ~ ( ( R = X2 )
% 3.29/3.49           => ( H2 != H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_returnE
% 3.29/3.49  thf(fact_260_split__beta,axiom,
% 3.29/3.49      ( produc27273713700761075at_nat
% 3.29/3.49      = ( ^ [F2: nat > nat > product_prod_nat_nat > product_prod_nat_nat,Prod3: product_prod_nat_nat] : ( F2 @ ( product_fst_nat_nat @ Prod3 ) @ ( product_snd_nat_nat @ Prod3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_beta
% 3.29/3.49  thf(fact_261_split__beta,axiom,
% 3.29/3.49      ( produc8739625826339149834_nat_o
% 3.29/3.49      = ( ^ [F2: nat > nat > product_prod_nat_nat > $o,Prod3: product_prod_nat_nat] : ( F2 @ ( product_fst_nat_nat @ Prod3 ) @ ( product_snd_nat_nat @ Prod3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_beta
% 3.29/3.49  thf(fact_262_split__beta,axiom,
% 3.29/3.49      ( produc4245557441103728435nt_int
% 3.29/3.49      = ( ^ [F2: int > int > product_prod_int_int,Prod3: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ Prod3 ) @ ( product_snd_int_int @ Prod3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_beta
% 3.29/3.49  thf(fact_263_split__beta,axiom,
% 3.29/3.49      ( produc4947309494688390418_int_o
% 3.29/3.49      = ( ^ [F2: int > int > $o,Prod3: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ Prod3 ) @ ( product_snd_int_int @ Prod3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_beta
% 3.29/3.49  thf(fact_264_split__beta,axiom,
% 3.29/3.49      ( produc8211389475949308722nt_int
% 3.29/3.49      = ( ^ [F2: int > int > int,Prod3: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ Prod3 ) @ ( product_snd_int_int @ Prod3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_beta
% 3.29/3.49  thf(fact_265_case__prod__beta,axiom,
% 3.29/3.49      ( produc27273713700761075at_nat
% 3.29/3.49      = ( ^ [F2: nat > nat > product_prod_nat_nat > product_prod_nat_nat,P3: product_prod_nat_nat] : ( F2 @ ( product_fst_nat_nat @ P3 ) @ ( product_snd_nat_nat @ P3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_beta
% 3.29/3.49  thf(fact_266_case__prod__beta,axiom,
% 3.29/3.49      ( produc8739625826339149834_nat_o
% 3.29/3.49      = ( ^ [F2: nat > nat > product_prod_nat_nat > $o,P3: product_prod_nat_nat] : ( F2 @ ( product_fst_nat_nat @ P3 ) @ ( product_snd_nat_nat @ P3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_beta
% 3.29/3.49  thf(fact_267_case__prod__beta,axiom,
% 3.29/3.49      ( produc4245557441103728435nt_int
% 3.29/3.49      = ( ^ [F2: int > int > product_prod_int_int,P3: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ P3 ) @ ( product_snd_int_int @ P3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_beta
% 3.29/3.49  thf(fact_268_case__prod__beta,axiom,
% 3.29/3.49      ( produc4947309494688390418_int_o
% 3.29/3.49      = ( ^ [F2: int > int > $o,P3: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ P3 ) @ ( product_snd_int_int @ P3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_beta
% 3.29/3.49  thf(fact_269_case__prod__beta,axiom,
% 3.29/3.49      ( produc8211389475949308722nt_int
% 3.29/3.49      = ( ^ [F2: int > int > int,P3: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ P3 ) @ ( product_snd_int_int @ P3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_beta
% 3.29/3.49  thf(fact_270_internal__case__prod__def,axiom,
% 3.29/3.49      produc1854806715440696265at_nat = produc27273713700761075at_nat ).
% 3.29/3.49  
% 3.29/3.49  % internal_case_prod_def
% 3.29/3.49  thf(fact_271_internal__case__prod__def,axiom,
% 3.29/3.49      produc4780622933104268256_nat_o = produc8739625826339149834_nat_o ).
% 3.29/3.49  
% 3.29/3.49  % internal_case_prod_def
% 3.29/3.49  thf(fact_272_internal__case__prod__def,axiom,
% 3.29/3.49      produc297006045350968285nt_int = produc4245557441103728435nt_int ).
% 3.29/3.49  
% 3.29/3.49  % internal_case_prod_def
% 3.29/3.49  thf(fact_273_internal__case__prod__def,axiom,
% 3.29/3.49      produc8005341501107743676_int_o = produc4947309494688390418_int_o ).
% 3.29/3.49  
% 3.29/3.49  % internal_case_prod_def
% 3.29/3.49  thf(fact_274_internal__case__prod__def,axiom,
% 3.29/3.49      produc7926200574084438792nt_int = produc8211389475949308722nt_int ).
% 3.29/3.49  
% 3.29/3.49  % internal_case_prod_def
% 3.29/3.49  thf(fact_275_effect__updateI,axiom,
% 3.29/3.49      ! [H2: heap_e7401611519738050253t_unit,R: ref_a,V: a,H: heap_e7401611519738050253t_unit,X2: product_unit] :
% 3.29/3.49        ( ( H2
% 3.29/3.49          = ( set_a @ R @ V @ H ) )
% 3.29/3.49       => ( heap_e2830298082929533060t_unit @ ( update_a @ R @ V ) @ H @ H2 @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_updateI
% 3.29/3.49  thf(fact_276_split__cong,axiom,
% 3.29/3.49      ! [Q: product_prod_nat_nat,F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,G: nat > nat > product_prod_nat_nat > product_prod_nat_nat,P: product_prod_nat_nat] :
% 3.29/3.49        ( ! [X: nat,Y: nat] :
% 3.29/3.49            ( ( ( product_Pair_nat_nat @ X @ Y )
% 3.29/3.49              = Q )
% 3.29/3.49           => ( ( F @ X @ Y )
% 3.29/3.49              = ( G @ X @ Y ) ) )
% 3.29/3.49       => ( ( P = Q )
% 3.29/3.49         => ( ( produc27273713700761075at_nat @ F @ P )
% 3.29/3.49            = ( produc27273713700761075at_nat @ G @ Q ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_cong
% 3.29/3.49  thf(fact_277_split__cong,axiom,
% 3.29/3.49      ! [Q: product_prod_nat_nat,F: nat > nat > product_prod_nat_nat > $o,G: nat > nat > product_prod_nat_nat > $o,P: product_prod_nat_nat] :
% 3.29/3.49        ( ! [X: nat,Y: nat] :
% 3.29/3.49            ( ( ( product_Pair_nat_nat @ X @ Y )
% 3.29/3.49              = Q )
% 3.29/3.49           => ( ( F @ X @ Y )
% 3.29/3.49              = ( G @ X @ Y ) ) )
% 3.29/3.49       => ( ( P = Q )
% 3.29/3.49         => ( ( produc8739625826339149834_nat_o @ F @ P )
% 3.29/3.49            = ( produc8739625826339149834_nat_o @ G @ Q ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_cong
% 3.29/3.49  thf(fact_278_split__cong,axiom,
% 3.29/3.49      ! [Q: product_prod_int_int,F: int > int > product_prod_int_int,G: int > int > product_prod_int_int,P: product_prod_int_int] :
% 3.29/3.49        ( ! [X: int,Y: int] :
% 3.29/3.49            ( ( ( product_Pair_int_int @ X @ Y )
% 3.29/3.49              = Q )
% 3.29/3.49           => ( ( F @ X @ Y )
% 3.29/3.49              = ( G @ X @ Y ) ) )
% 3.29/3.49       => ( ( P = Q )
% 3.29/3.49         => ( ( produc4245557441103728435nt_int @ F @ P )
% 3.29/3.49            = ( produc4245557441103728435nt_int @ G @ Q ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_cong
% 3.29/3.49  thf(fact_279_split__cong,axiom,
% 3.29/3.49      ! [Q: product_prod_int_int,F: int > int > $o,G: int > int > $o,P: product_prod_int_int] :
% 3.29/3.49        ( ! [X: int,Y: int] :
% 3.29/3.49            ( ( ( product_Pair_int_int @ X @ Y )
% 3.29/3.49              = Q )
% 3.29/3.49           => ( ( F @ X @ Y )
% 3.29/3.49              = ( G @ X @ Y ) ) )
% 3.29/3.49       => ( ( P = Q )
% 3.29/3.49         => ( ( produc4947309494688390418_int_o @ F @ P )
% 3.29/3.49            = ( produc4947309494688390418_int_o @ G @ Q ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_cong
% 3.29/3.49  thf(fact_280_split__cong,axiom,
% 3.29/3.49      ! [Q: product_prod_int_int,F: int > int > int,G: int > int > int,P: product_prod_int_int] :
% 3.29/3.49        ( ! [X: int,Y: int] :
% 3.29/3.49            ( ( ( product_Pair_int_int @ X @ Y )
% 3.29/3.49              = Q )
% 3.29/3.49           => ( ( F @ X @ Y )
% 3.29/3.49              = ( G @ X @ Y ) ) )
% 3.29/3.49       => ( ( P = Q )
% 3.29/3.49         => ( ( produc8211389475949308722nt_int @ F @ P )
% 3.29/3.49            = ( produc8211389475949308722nt_int @ G @ Q ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % split_cong
% 3.29/3.49  thf(fact_281_csquare__fstOp__sndOp,axiom,
% 3.29/3.49      ! [F: ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > $o,P2: product_prod_nat_nat > product_prod_nat_nat > $o,Q2: product_prod_nat_nat > int > $o] : ( bNF_cs7194553038297458973at_int @ ( collec2851339944984316337at_int @ ( F @ ( relcom8911704206367525917at_int @ P2 @ Q2 ) ) ) @ produc6408287024330202629at_nat @ produc4619704898428564714at_int @ ( bNF_fs6342258632037972510at_int @ P2 @ Q2 ) @ ( bNF_sn649997494946348640at_int @ P2 @ Q2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % csquare_fstOp_sndOp
% 3.29/3.49  thf(fact_282_csquare__fstOp__sndOp,axiom,
% 3.29/3.49      ! [F: ( int > code_integer > $o ) > produc2963269191615333738nteger > $o,P2: int > int > $o,Q2: int > code_integer > $o] : ( bNF_cs4943907971211754724nteger @ ( collec7215431352809750357nteger @ ( F @ ( relcom967497705283160040nteger @ P2 @ Q2 ) ) ) @ product_snd_int_int @ produc45500017171379470nteger @ ( bNF_fs4543836202474805097nteger @ P2 @ Q2 ) @ ( bNF_sn8000174127721201323nteger @ P2 @ Q2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % csquare_fstOp_sndOp
% 3.29/3.49  thf(fact_283_effect__tapI,axiom,
% 3.29/3.49      ! [H2: heap_e7401611519738050253t_unit,H: heap_e7401611519738050253t_unit,R: ref_a,F: heap_e7401611519738050253t_unit > ref_a] :
% 3.29/3.49        ( ( H2 = H )
% 3.29/3.49       => ( ( R
% 3.29/3.49            = ( F @ H ) )
% 3.29/3.49         => ( heap_effect_ref_a @ ( heap_tap_ref_a @ F ) @ H @ H2 @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_tapI
% 3.29/3.49  thf(fact_284_effect__tapE,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ ( heap_tap_ref_a @ F ) @ H @ H2 @ R )
% 3.29/3.49       => ~ ( ( H2 = H )
% 3.29/3.49           => ( R
% 3.29/3.49             != ( F @ H ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_tapE
% 3.29/3.49  thf(fact_285_pair__in__swap__image,axiom,
% 3.29/3.49      ! [Y3: num,X2: nat,A4: set_Pr6200539531224447659at_num] :
% 3.29/3.49        ( ( member6570852975090897396um_nat @ ( product_Pair_num_nat @ Y3 @ X2 ) @ ( image_2347970371937200581um_nat @ product_swap_nat_num @ A4 ) )
% 3.29/3.49        = ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X2 @ Y3 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pair_in_swap_image
% 3.29/3.49  thf(fact_286_pair__in__swap__image,axiom,
% 3.29/3.49      ! [Y3: set_Pr4329608150637261639at_nat,X2: set_Pr4329608150637261639at_nat,A4: set_Pr7459493094073627847at_nat] :
% 3.29/3.49        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ Y3 @ X2 ) @ ( image_3313167189156628421at_nat @ produc5396952528824381687at_nat @ A4 ) )
% 3.29/3.49        = ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pair_in_swap_image
% 3.29/3.49  thf(fact_287_pair__in__swap__image,axiom,
% 3.29/3.49      ! [Y3: set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ Y3 @ X2 ) @ ( image_960689587819713477at_nat @ produc3946833401584108663at_nat @ A4 ) )
% 3.29/3.49        = ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pair_in_swap_image
% 3.29/3.49  thf(fact_288_pair__in__swap__image,axiom,
% 3.29/3.49      ! [Y3: nat,X2: num,A4: set_Pr3280342998896498603um_nat] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ Y3 @ X2 ) @ ( image_7762062833379733445at_num @ product_swap_num_nat @ A4 ) )
% 3.29/3.49        = ( member6570852975090897396um_nat @ ( product_Pair_num_nat @ X2 @ Y3 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pair_in_swap_image
% 3.29/3.49  thf(fact_289_pair__in__swap__image,axiom,
% 3.29/3.49      ! [Y3: nat,X2: nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ Y3 @ X2 ) @ ( image_5168914502847457605at_nat @ product_swap_nat_nat @ A4 ) )
% 3.29/3.49        = ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pair_in_swap_image
% 3.29/3.49  thf(fact_290_pair__in__swap__image,axiom,
% 3.29/3.49      ! [Y3: int,X2: int,A4: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ Y3 @ X2 ) @ ( image_2653370878348428101nt_int @ product_swap_int_int @ A4 ) )
% 3.29/3.49        = ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pair_in_swap_image
% 3.29/3.49  thf(fact_291_snd__sndOp,axiom,
% 3.29/3.49      ! [P2: ref_a > ref_a > $o,Q2: ref_a > heap_e7401611519738050253t_unit > $o] :
% 3.29/3.49        ( produc1126150082675451753t_unit
% 3.29/3.49        = ( comp_P8019343326919024234t_unit @ produc1126150082675451753t_unit @ ( bNF_sn8323453914685745821t_unit @ P2 @ Q2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_sndOp
% 3.29/3.49  thf(fact_292_comp__cong,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > $o,X2: nat,F3: $o > $o,G2: nat > $o,X3: nat] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_o_o_nat @ F @ G @ X2 )
% 3.29/3.49          = ( comp_o_o_nat @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_293_comp__cong,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,X2: int,F3: nat > num,G2: int > nat,X3: int] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_nat_num_int @ F @ G @ X2 )
% 3.29/3.49          = ( comp_nat_num_int @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_294_comp__cong,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,X2: nat,F3: nat > nat,G2: nat > nat,X3: nat] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ F @ G @ X2 )
% 3.29/3.49          = ( comp_nat_nat_nat @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_295_comp__cong,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,X2: nat,F3: int > nat,G2: int > int,X3: int] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ F @ G @ X2 )
% 3.29/3.49          = ( comp_int_nat_int @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_296_comp__cong,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > int,X2: int,F3: nat > nat,G2: nat > nat,X3: nat] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_int_nat_int @ F @ G @ X2 )
% 3.29/3.49          = ( comp_nat_nat_nat @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_297_comp__cong,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > int,X2: int,F3: int > nat,G2: int > int,X3: int] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_int_nat_int @ F @ G @ X2 )
% 3.29/3.49          = ( comp_int_nat_int @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_298_comp__cong,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,X2: code_integer,F3: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G2: code_integer > code_integer > code_integer,X3: code_integer] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( F3 @ ( G2 @ X3 ) ) )
% 3.29/3.49       => ( ( comp_C8797469213163452608nteger @ F @ G @ X2 )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ F3 @ G2 @ X3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_cong
% 3.29/3.49  thf(fact_299_comp__apply__eq,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > $o,X2: nat,H: $o > $o,K: nat > $o] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( H @ ( K @ X2 ) ) )
% 3.29/3.49       => ( ( comp_o_o_nat @ F @ G @ X2 )
% 3.29/3.49          = ( comp_o_o_nat @ H @ K @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply_eq
% 3.29/3.49  thf(fact_300_comp__apply__eq,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,X2: int,H: nat > num,K: int > nat] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( H @ ( K @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_num_int @ F @ G @ X2 )
% 3.29/3.49          = ( comp_nat_num_int @ H @ K @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply_eq
% 3.29/3.49  thf(fact_301_comp__apply__eq,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,X2: nat,H: nat > nat,K: nat > nat] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( H @ ( K @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ F @ G @ X2 )
% 3.29/3.49          = ( comp_nat_nat_nat @ H @ K @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply_eq
% 3.29/3.49  thf(fact_302_comp__apply__eq,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > int,X2: int,H: int > nat,K: int > int] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( H @ ( K @ X2 ) ) )
% 3.29/3.49       => ( ( comp_int_nat_int @ F @ G @ X2 )
% 3.29/3.49          = ( comp_int_nat_int @ H @ K @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply_eq
% 3.29/3.49  thf(fact_303_comp__apply__eq,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,X2: code_integer,H: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,K: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = ( H @ ( K @ X2 ) ) )
% 3.29/3.49       => ( ( comp_C8797469213163452608nteger @ F @ G @ X2 )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ H @ K @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply_eq
% 3.29/3.49  thf(fact_304_pick__middlep,axiom,
% 3.29/3.49      ! [P2: product_prod_nat_nat > product_prod_nat_nat > $o,Q2: product_prod_nat_nat > int > $o,A: product_prod_nat_nat,C: int] :
% 3.29/3.49        ( ( relcom8911704206367525917at_int @ P2 @ Q2 @ A @ C )
% 3.29/3.49       => ( ( P2 @ A @ ( bNF_pi770922605693484880at_int @ P2 @ Q2 @ A @ C ) )
% 3.29/3.49          & ( Q2 @ ( bNF_pi770922605693484880at_int @ P2 @ Q2 @ A @ C ) @ C ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pick_middlep
% 3.29/3.49  thf(fact_305_pick__middlep,axiom,
% 3.29/3.49      ! [P2: int > int > $o,Q2: int > code_integer > $o,A: int,C: code_integer] :
% 3.29/3.49        ( ( relcom967497705283160040nteger @ P2 @ Q2 @ A @ C )
% 3.29/3.49       => ( ( P2 @ A @ ( bNF_pi4515785505327359899nteger @ P2 @ Q2 @ A @ C ) )
% 3.29/3.49          & ( Q2 @ ( bNF_pi4515785505327359899nteger @ P2 @ Q2 @ A @ C ) @ C ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pick_middlep
% 3.29/3.49  thf(fact_306_sndOp__in,axiom,
% 3.29/3.49      ! [Ac: produc3843707927480180839at_nat,P2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,Q2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ Ac @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ ( relcom8363394528208558896at_nat @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member8757157785044589968at_nat @ ( bNF_sn1857951156667551021at_nat @ P2 @ Q2 @ Ac ) @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ Q2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndOp_in
% 3.29/3.49  thf(fact_307_sndOp__in,axiom,
% 3.29/3.49      ! [Ac: product_prod_nat_nat,P2: nat > nat > $o,Q2: nat > nat > $o] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ Ac @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( relcompp_nat_nat_nat @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member8440522571783428010at_nat @ ( bNF_sn8916957246138178918at_nat @ P2 @ Q2 @ Ac ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ Q2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndOp_in
% 3.29/3.49  thf(fact_308_sndOp__in,axiom,
% 3.29/3.49      ! [Ac: produc4196048018000912732at_int,P2: product_prod_nat_nat > product_prod_nat_nat > $o,Q2: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( ( member8394280151737582451at_int @ Ac @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ ( relcom8911704206367525917at_int @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member8394280151737582451at_int @ ( bNF_sn649997494946348640at_int @ P2 @ Q2 @ Ac ) @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ Q2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndOp_in
% 3.29/3.49  thf(fact_309_sndOp__in,axiom,
% 3.29/3.49      ! [Ac: produc2963269191615333738nteger,P2: int > int > $o,Q2: int > code_integer > $o] :
% 3.29/3.49        ( ( member4345257455949424659nteger @ Ac @ ( collec7215431352809750357nteger @ ( produc540600059291021473eger_o @ ( relcom967497705283160040nteger @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member4345257455949424659nteger @ ( bNF_sn8000174127721201323nteger @ P2 @ Q2 @ Ac ) @ ( collec7215431352809750357nteger @ ( produc540600059291021473eger_o @ Q2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndOp_in
% 3.29/3.49  thf(fact_310_sndOp__in,axiom,
% 3.29/3.49      ! [Ac: product_prod_int_int,P2: int > int > $o,Q2: int > int > $o] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ Ac @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( relcompp_int_int_int @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( bNF_sn1062102010912252026nt_int @ P2 @ Q2 @ Ac ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ Q2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % sndOp_in
% 3.29/3.49  thf(fact_311_fstOp__in,axiom,
% 3.29/3.49      ! [Ac: produc3843707927480180839at_nat,P2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,Q2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ Ac @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ ( relcom8363394528208558896at_nat @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member8757157785044589968at_nat @ ( bNF_fs1946732770515719151at_nat @ P2 @ Q2 @ Ac ) @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ P2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstOp_in
% 3.29/3.49  thf(fact_312_fstOp__in,axiom,
% 3.29/3.49      ! [Ac: product_prod_nat_nat,P2: nat > nat > $o,Q2: nat > nat > $o] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ Ac @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( relcompp_nat_nat_nat @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member8440522571783428010at_nat @ ( bNF_fs6799373675401686564at_nat @ P2 @ Q2 @ Ac ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ P2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstOp_in
% 3.29/3.49  thf(fact_313_fstOp__in,axiom,
% 3.29/3.49      ! [Ac: produc4196048018000912732at_int,P2: product_prod_nat_nat > product_prod_nat_nat > $o,Q2: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( ( member8394280151737582451at_int @ Ac @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ ( relcom8911704206367525917at_int @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member8206827879206165904at_nat @ ( bNF_fs6342258632037972510at_int @ P2 @ Q2 @ Ac ) @ ( collec7088162979684241874at_nat @ ( produc6590410687421337004_nat_o @ P2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstOp_in
% 3.29/3.49  thf(fact_314_fstOp__in,axiom,
% 3.29/3.49      ! [Ac: produc2963269191615333738nteger,P2: int > int > $o,Q2: int > code_integer > $o] :
% 3.29/3.49        ( ( member4345257455949424659nteger @ Ac @ ( collec7215431352809750357nteger @ ( produc540600059291021473eger_o @ ( relcom967497705283160040nteger @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( bNF_fs4543836202474805097nteger @ P2 @ Q2 @ Ac ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ P2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstOp_in
% 3.29/3.49  thf(fact_315_fstOp__in,axiom,
% 3.29/3.49      ! [Ac: product_prod_int_int,P2: int > int > $o,Q2: int > int > $o] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ Ac @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( relcompp_int_int_int @ P2 @ Q2 ) ) ) )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( bNF_fs8167890477030535480nt_int @ P2 @ Q2 @ Ac ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ P2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fstOp_in
% 3.29/3.49  thf(fact_316_effect__bindE,axiom,
% 3.29/3.49      ! [F: heap_Heap_ref_a,G: ref_a > heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H3: heap_e7401611519738050253t_unit,R2: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ ( heap_b146640354529102224_ref_a @ F @ G ) @ H @ H3 @ R2 )
% 3.29/3.49       => ~ ! [H4: heap_e7401611519738050253t_unit,R4: ref_a] :
% 3.29/3.49              ( ( heap_effect_ref_a @ F @ H @ H4 @ R4 )
% 3.29/3.49             => ~ ( heap_effect_ref_a @ ( G @ R4 ) @ H4 @ H3 @ R2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_bindE
% 3.29/3.49  thf(fact_317_effect__bindI,axiom,
% 3.29/3.49      ! [F: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a,G: ref_a > heap_Heap_ref_a,H3: heap_e7401611519738050253t_unit,R2: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ F @ H @ H2 @ R )
% 3.29/3.49       => ( ( heap_effect_ref_a @ ( G @ R ) @ H2 @ H3 @ R2 )
% 3.29/3.49         => ( heap_effect_ref_a @ ( heap_b146640354529102224_ref_a @ F @ G ) @ H @ H3 @ R2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_bindI
% 3.29/3.49  thf(fact_318_fst__fstOp,axiom,
% 3.29/3.49      ! [P2: ref_a > heap_e7401611519738050253t_unit > $o,Q2: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o] :
% 3.29/3.49        ( produc473321116828791851t_unit
% 3.29/3.49        = ( comp_P4044372497395451596t_unit @ produc473321116828791851t_unit @ ( bNF_fs409234558581511823t_unit @ P2 @ Q2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_fstOp
% 3.29/3.49  thf(fact_319_comp__apply,axiom,
% 3.29/3.49      ( comp_o_o_nat
% 3.29/3.49      = ( ^ [F2: $o > $o,G3: nat > $o,X4: nat] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply
% 3.29/3.49  thf(fact_320_comp__apply,axiom,
% 3.29/3.49      ( comp_nat_num_int
% 3.29/3.49      = ( ^ [F2: nat > num,G3: int > nat,X4: int] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply
% 3.29/3.49  thf(fact_321_comp__apply,axiom,
% 3.29/3.49      ( comp_nat_nat_nat
% 3.29/3.49      = ( ^ [F2: nat > nat,G3: nat > nat,X4: nat] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply
% 3.29/3.49  thf(fact_322_comp__apply,axiom,
% 3.29/3.49      ( comp_int_nat_int
% 3.29/3.49      = ( ^ [F2: int > nat,G3: int > int,X4: int] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply
% 3.29/3.49  thf(fact_323_comp__apply,axiom,
% 3.29/3.49      ( comp_C8797469213163452608nteger
% 3.29/3.49      = ( ^ [F2: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G3: code_integer > code_integer > code_integer,X4: code_integer] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_apply
% 3.29/3.49  thf(fact_324_image__eqI,axiom,
% 3.29/3.49      ! [B: $o,F: $o > $o,X2: $o,A4: set_o] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_o @ X2 @ A4 )
% 3.29/3.49         => ( member_o @ B @ ( image_o_o @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_325_image__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: $o > nat,X2: $o,A4: set_o] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_o @ X2 @ A4 )
% 3.29/3.49         => ( member_nat @ B @ ( image_o_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_326_image__eqI,axiom,
% 3.29/3.49      ! [B: int,F: $o > int,X2: $o,A4: set_o] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_o @ X2 @ A4 )
% 3.29/3.49         => ( member_int @ B @ ( image_o_int @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_327_image__eqI,axiom,
% 3.29/3.49      ! [B: rat,F: nat > rat,X2: nat,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49         => ( member_rat @ B @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_328_image__eqI,axiom,
% 3.29/3.49      ! [B: $o,F: nat > $o,X2: nat,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49         => ( member_o @ B @ ( image_nat_o @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_329_image__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: nat > nat,X2: nat,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49         => ( member_nat @ B @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_330_image__eqI,axiom,
% 3.29/3.49      ! [B: int,F: nat > int,X2: nat,A4: set_nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.49         => ( member_int @ B @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_331_image__eqI,axiom,
% 3.29/3.49      ! [B: $o,F: int > $o,X2: int,A4: set_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_int @ X2 @ A4 )
% 3.29/3.49         => ( member_o @ B @ ( image_int_o @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_332_image__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: int > nat,X2: int,A4: set_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_int @ X2 @ A4 )
% 3.29/3.49         => ( member_nat @ B @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_333_image__eqI,axiom,
% 3.29/3.49      ! [B: int,F: int > int,X2: int,A4: set_int] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( ( member_int @ X2 @ A4 )
% 3.29/3.49         => ( member_int @ B @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eqI
% 3.29/3.49  thf(fact_334_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_o > $o,G: $o > $o,F: nat > $o,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_o_o @ G @ ( image_nat_o @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_o @ ( comp_o_o_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_335_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_rat > rat,G: rat > rat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_rat_rat @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_rat @ ( comp_rat_rat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_336_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_nat > nat,G: rat > nat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_rat_nat @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_nat @ ( comp_rat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_337_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_int > int,G: rat > int,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_rat_int @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_int @ ( comp_rat_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_338_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_rat > rat,G: int > rat,F: nat > int,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_int_rat @ G @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_rat @ ( comp_int_rat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_339_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_num > num,G: nat > num,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( Inf @ ( image_nat_num @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_int_num @ ( comp_nat_num_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_340_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_rat > rat,G: nat > rat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_nat_rat @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_rat @ ( comp_nat_rat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_341_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_rat > rat,G: nat > rat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( Inf @ ( image_nat_rat @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_int_rat @ ( comp_nat_rat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_342_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_nat > nat,G: nat > nat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_nat_nat @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_343_Inf_OINF__image,axiom,
% 3.29/3.49      ! [Inf: set_nat > nat,G: nat > nat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( Inf @ ( image_nat_nat @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Inf @ ( image_int_nat @ ( comp_nat_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_image
% 3.29/3.49  thf(fact_344_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_o > $o,G: $o > $o,F: nat > $o,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_o_o @ G @ ( image_nat_o @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_o @ ( comp_o_o_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_345_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_rat > rat,G: rat > rat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_rat_rat @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_rat @ ( comp_rat_rat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_346_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_nat > nat,G: rat > nat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_rat_nat @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_nat @ ( comp_rat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_347_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_int > int,G: rat > int,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_rat_int @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_int @ ( comp_rat_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_348_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_rat > rat,G: int > rat,F: nat > int,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_int_rat @ G @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_rat @ ( comp_int_rat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_349_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_num > num,G: nat > num,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( Sup @ ( image_nat_num @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_int_num @ ( comp_nat_num_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_350_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_rat > rat,G: nat > rat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_nat_rat @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_rat @ ( comp_nat_rat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_351_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_rat > rat,G: nat > rat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( Sup @ ( image_nat_rat @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_int_rat @ ( comp_nat_rat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_352_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_nat > nat,G: nat > nat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_nat_nat @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_353_Sup_OSUP__image,axiom,
% 3.29/3.49      ! [Sup: set_nat > nat,G: nat > nat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( Sup @ ( image_nat_nat @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.49        = ( Sup @ ( image_int_nat @ ( comp_nat_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_image
% 3.29/3.49  thf(fact_354_image__comp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > $o,R: set_nat] :
% 3.29/3.49        ( ( image_o_o @ F @ ( image_nat_o @ G @ R ) )
% 3.29/3.49        = ( image_nat_o @ ( comp_o_o_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_355_image__comp,axiom,
% 3.29/3.49      ! [F: rat > rat,G: nat > rat,R: set_nat] :
% 3.29/3.49        ( ( image_rat_rat @ F @ ( image_nat_rat @ G @ R ) )
% 3.29/3.49        = ( image_nat_rat @ ( comp_rat_rat_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_356_image__comp,axiom,
% 3.29/3.49      ! [F: rat > nat,G: nat > rat,R: set_nat] :
% 3.29/3.49        ( ( image_rat_nat @ F @ ( image_nat_rat @ G @ R ) )
% 3.29/3.49        = ( image_nat_nat @ ( comp_rat_nat_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_357_image__comp,axiom,
% 3.29/3.49      ! [F: rat > int,G: nat > rat,R: set_nat] :
% 3.29/3.49        ( ( image_rat_int @ F @ ( image_nat_rat @ G @ R ) )
% 3.29/3.49        = ( image_nat_int @ ( comp_rat_int_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_358_image__comp,axiom,
% 3.29/3.49      ! [F: int > rat,G: nat > int,R: set_nat] :
% 3.29/3.49        ( ( image_int_rat @ F @ ( image_nat_int @ G @ R ) )
% 3.29/3.49        = ( image_nat_rat @ ( comp_int_rat_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_359_image__comp,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,R: set_int] :
% 3.29/3.49        ( ( image_nat_num @ F @ ( image_int_nat @ G @ R ) )
% 3.29/3.49        = ( image_int_num @ ( comp_nat_num_int @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_360_image__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,G: nat > nat,R: set_nat] :
% 3.29/3.49        ( ( image_nat_rat @ F @ ( image_nat_nat @ G @ R ) )
% 3.29/3.49        = ( image_nat_rat @ ( comp_nat_rat_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_361_image__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,G: int > nat,R: set_int] :
% 3.29/3.49        ( ( image_nat_rat @ F @ ( image_int_nat @ G @ R ) )
% 3.29/3.49        = ( image_int_rat @ ( comp_nat_rat_int @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_362_image__comp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,R: set_nat] :
% 3.29/3.49        ( ( image_nat_nat @ F @ ( image_nat_nat @ G @ R ) )
% 3.29/3.49        = ( image_nat_nat @ ( comp_nat_nat_nat @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_363_image__comp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: int > nat,R: set_int] :
% 3.29/3.49        ( ( image_nat_nat @ F @ ( image_int_nat @ G @ R ) )
% 3.29/3.49        = ( image_int_nat @ ( comp_nat_nat_int @ F @ G ) @ R ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_comp
% 3.29/3.49  thf(fact_364_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > $o,A4: set_nat,G: nat > $o,B5: set_nat,H: $o > $o] :
% 3.29/3.49        ( ( ( image_nat_o @ F @ A4 )
% 3.29/3.49          = ( image_nat_o @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_o @ ( comp_o_o_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_o @ ( comp_o_o_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_365_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: int > rat,A4: set_int,G: nat > rat,B5: set_nat,H: rat > nat] :
% 3.29/3.49        ( ( ( image_int_rat @ F @ A4 )
% 3.29/3.49          = ( image_nat_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_int_nat @ ( comp_rat_nat_int @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_nat @ ( comp_rat_nat_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_366_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: int > rat,A4: set_int,G: nat > rat,B5: set_nat,H: rat > int] :
% 3.29/3.49        ( ( ( image_int_rat @ F @ A4 )
% 3.29/3.49          = ( image_nat_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_int_int @ ( comp_rat_int_int @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_int @ ( comp_rat_int_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_367_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,G: int > rat,B5: set_int,H: rat > nat] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.49          = ( image_int_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_nat @ ( comp_rat_nat_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_int_nat @ ( comp_rat_nat_int @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_368_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,G: int > rat,B5: set_int,H: rat > int] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.49          = ( image_int_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_int @ ( comp_rat_int_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_int_int @ ( comp_rat_int_int @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_369_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,G: nat > rat,B5: set_nat,H: rat > rat] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.49          = ( image_nat_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_rat @ ( comp_rat_rat_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_rat @ ( comp_rat_rat_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_370_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,G: nat > rat,B5: set_nat,H: rat > nat] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.49          = ( image_nat_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_nat @ ( comp_rat_nat_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_nat @ ( comp_rat_nat_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_371_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,G: nat > rat,B5: set_nat,H: rat > int] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.49          = ( image_nat_rat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_int @ ( comp_rat_int_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_int @ ( comp_rat_int_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_372_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,G: nat > nat,B5: set_nat,H: nat > rat] :
% 3.29/3.49        ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.49          = ( image_nat_nat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_rat @ ( comp_nat_rat_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_rat @ ( comp_nat_rat_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_373_image__eq__imp__comp,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,G: nat > nat,B5: set_nat,H: nat > nat] :
% 3.29/3.49        ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.49          = ( image_nat_nat @ G @ B5 ) )
% 3.29/3.49       => ( ( image_nat_nat @ ( comp_nat_nat_nat @ H @ F ) @ A4 )
% 3.29/3.49          = ( image_nat_nat @ ( comp_nat_nat_nat @ H @ G ) @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_eq_imp_comp
% 3.29/3.49  thf(fact_374_snd__comp__apsnd,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer] :
% 3.29/3.49        ( ( comp_P3428181540658402820nteger @ produc6174133586879617921nteger @ ( produc6499014454317279255nteger @ F ) )
% 3.29/3.49        = ( comp_C1043215000170864188nteger @ F @ produc6174133586879617921nteger ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_comp_apsnd
% 3.29/3.49  thf(fact_375_snd__comp__apsnd,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( comp_P8019343326919024234t_unit @ produc1126150082675451753t_unit @ ( produc3038839249364385243_ref_a @ F ) )
% 3.29/3.49        = ( comp_h4837689053573563144t_unit @ F @ produc1126150082675451753t_unit ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_comp_apsnd
% 3.29/3.49  thf(fact_376_fst__comp__apfst,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a] :
% 3.29/3.49        ( ( comp_P4044372497395451596t_unit @ produc473321116828791851t_unit @ ( produc4508741384315284437t_unit @ F ) )
% 3.29/3.49        = ( comp_r2143332150499412868t_unit @ F @ produc473321116828791851t_unit ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_comp_apfst
% 3.29/3.49  thf(fact_377_Collect__case__prod__Grp__eqD,axiom,
% 3.29/3.49      ! [Z2: produc3843707927480180839at_nat,A4: set_se7855581050983116737at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ Z2 @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ ( bNF_Gr6677838525845560078at_nat @ A4 @ F ) ) ) )
% 3.29/3.49       => ( ( comp_s7355055891894327172at_nat @ F @ produc6011863565407846595at_nat @ Z2 )
% 3.29/3.49          = ( produc2937545259423399429at_nat @ Z2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_eqD
% 3.29/3.49  thf(fact_378_Collect__case__prod__Grp__eqD,axiom,
% 3.29/3.49      ! [Z2: product_prod_nat_nat,A4: set_nat,F: nat > nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ Z2 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( bNF_Grp_nat_nat @ A4 @ F ) ) ) )
% 3.29/3.49       => ( ( comp_n2711240574518091068at_nat @ F @ product_fst_nat_nat @ Z2 )
% 3.29/3.49          = ( product_snd_nat_nat @ Z2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_eqD
% 3.29/3.49  thf(fact_379_Collect__case__prod__Grp__eqD,axiom,
% 3.29/3.49      ! [Z2: produc7812382424243267045t_unit,A4: set_ref_a,F: ref_a > heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( member7849944260330398460t_unit @ Z2 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ ( bNF_Gr6510375311308651680t_unit @ A4 @ F ) ) ) )
% 3.29/3.49       => ( ( comp_r3604920825623061426t_unit @ F @ produc473321116828791851t_unit @ Z2 )
% 3.29/3.49          = ( produc1126150082675451753t_unit @ Z2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_eqD
% 3.29/3.49  thf(fact_380_Collect__case__prod__Grp__eqD,axiom,
% 3.29/3.49      ! [Z2: product_prod_int_int,A4: set_int,F: int > int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ Z2 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( bNF_Grp_int_int @ A4 @ F ) ) ) )
% 3.29/3.49       => ( ( comp_i4330622015127193916nt_int @ F @ product_fst_int_int @ Z2 )
% 3.29/3.49          = ( product_snd_int_int @ Z2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_eqD
% 3.29/3.49  thf(fact_381_Collect__split__mono__strong,axiom,
% 3.29/3.49      ! [X5: set_nat,A4: set_Pr1261947904930325089at_nat,Y4: set_nat,P2: nat > nat > $o,Q2: nat > nat > $o] :
% 3.29/3.49        ( ( X5
% 3.29/3.49          = ( image_2486076414777270412at_nat @ product_fst_nat_nat @ A4 ) )
% 3.29/3.49       => ( ( Y4
% 3.29/3.49            = ( image_2486076414777270412at_nat @ product_snd_nat_nat @ A4 ) )
% 3.29/3.49         => ( ! [X: nat] :
% 3.29/3.49                ( ( member_nat @ X @ X5 )
% 3.29/3.49               => ! [Xa: nat] :
% 3.29/3.49                    ( ( member_nat @ Xa @ Y4 )
% 3.29/3.49                   => ( ( P2 @ X @ Xa )
% 3.29/3.49                     => ( Q2 @ X @ Xa ) ) ) )
% 3.29/3.49           => ( ( ord_le3146513528884898305at_nat @ A4 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ P2 ) ) )
% 3.29/3.49             => ( ord_le3146513528884898305at_nat @ A4 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ Q2 ) ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_split_mono_strong
% 3.29/3.49  thf(fact_382_Collect__split__mono__strong,axiom,
% 3.29/3.49      ! [X5: set_ref_a,A4: set_Pr1133966238863718811t_unit,Y4: set_he8644174446132254637t_unit,P2: ref_a > heap_e7401611519738050253t_unit > $o,Q2: ref_a > heap_e7401611519738050253t_unit > $o] :
% 3.29/3.49        ( ( X5
% 3.29/3.49          = ( image_7136766188234240905_ref_a @ produc473321116828791851t_unit @ A4 ) )
% 3.29/3.49       => ( ( Y4
% 3.29/3.49            = ( image_17660834435998945t_unit @ produc1126150082675451753t_unit @ A4 ) )
% 3.29/3.49         => ( ! [X: ref_a] :
% 3.29/3.49                ( ( member_ref_a @ X @ X5 )
% 3.29/3.49               => ! [Xa: heap_e7401611519738050253t_unit] :
% 3.29/3.49                    ( ( member242389114213480694t_unit @ Xa @ Y4 )
% 3.29/3.49                   => ( ( P2 @ X @ Xa )
% 3.29/3.49                     => ( Q2 @ X @ Xa ) ) ) )
% 3.29/3.49           => ( ( ord_le5525191956872776187t_unit @ A4 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ P2 ) ) )
% 3.29/3.49             => ( ord_le5525191956872776187t_unit @ A4 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ Q2 ) ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_split_mono_strong
% 3.29/3.49  thf(fact_383_Collect__split__mono__strong,axiom,
% 3.29/3.49      ! [X5: set_int,A4: set_Pr958786334691620121nt_int,Y4: set_int,P2: int > int > $o,Q2: int > int > $o] :
% 3.29/3.49        ( ( X5
% 3.29/3.49          = ( image_5042161079198086560nt_int @ product_fst_int_int @ A4 ) )
% 3.29/3.49       => ( ( Y4
% 3.29/3.49            = ( image_5042161079198086560nt_int @ product_snd_int_int @ A4 ) )
% 3.29/3.49         => ( ! [X: int] :
% 3.29/3.49                ( ( member_int @ X @ X5 )
% 3.29/3.49               => ! [Xa: int] :
% 3.29/3.49                    ( ( member_int @ Xa @ Y4 )
% 3.29/3.49                   => ( ( P2 @ X @ Xa )
% 3.29/3.49                     => ( Q2 @ X @ Xa ) ) ) )
% 3.29/3.49           => ( ( ord_le2843351958646193337nt_int @ A4 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ P2 ) ) )
% 3.29/3.49             => ( ord_le2843351958646193337nt_int @ A4 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ Q2 ) ) ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_split_mono_strong
% 3.29/3.49  thf(fact_384_snd__comp__map__prod,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a,G: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( comp_P8019343326919024234t_unit @ produc1126150082675451753t_unit @ ( produc3456481717235892722t_unit @ F @ G ) )
% 3.29/3.49        = ( comp_h4837689053573563144t_unit @ G @ produc1126150082675451753t_unit ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_comp_map_prod
% 3.29/3.49  thf(fact_385_fst__comp__map__prod,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a,G: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( comp_P4044372497395451596t_unit @ produc473321116828791851t_unit @ ( produc3456481717235892722t_unit @ F @ G ) )
% 3.29/3.49        = ( comp_r2143332150499412868t_unit @ F @ produc473321116828791851t_unit ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_comp_map_prod
% 3.29/3.49  thf(fact_386_map__prod__simp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: num > num,A: nat,B: num] :
% 3.29/3.49        ( ( produc1665548884793878990um_num @ F @ G @ ( product_Pair_nat_num @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_387_map__prod__simp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: num > nat,A: nat,B: num] :
% 3.29/3.49        ( ( produc5108217098638100356um_nat @ F @ G @ ( product_Pair_nat_num @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_388_map__prod__simp,axiom,
% 3.29/3.49      ! [F: nat > int,G: num > int,A: nat,B: num] :
% 3.29/3.49        ( ( produc5477380188365894716um_int @ F @ G @ ( product_Pair_nat_num @ A @ B ) )
% 3.29/3.49        = ( product_Pair_int_int @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_389_map__prod__simp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > num,A: nat,B: nat] :
% 3.29/3.49        ( ( produc3535218481486409604at_num @ F @ G @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_390_map__prod__simp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,A: nat,B: nat] :
% 3.29/3.49        ( ( produc6977886695330630970at_nat @ F @ G @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_391_map__prod__simp,axiom,
% 3.29/3.49      ! [F: nat > int,G: nat > int,A: nat,B: nat] :
% 3.29/3.49        ( ( produc7347049785058425330at_int @ F @ G @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.49        = ( product_Pair_int_int @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_392_map__prod__simp,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > num,A: int,B: int] :
% 3.29/3.49        ( ( produc2224754261294513212nt_num @ F @ G @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_393_map__prod__simp,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > nat,A: int,B: int] :
% 3.29/3.49        ( ( produc5667422475138734578nt_nat @ F @ G @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_394_map__prod__simp,axiom,
% 3.29/3.49      ! [F: int > int,G: int > int,A: int,B: int] :
% 3.29/3.49        ( ( produc6036585564866528938nt_int @ F @ G @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.49        = ( product_Pair_int_int @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_395_map__prod__simp,axiom,
% 3.29/3.49      ! [F: set_Pr1261947904930325089at_nat > nat,G: set_Pr1261947904930325089at_nat > num,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( produc3932168101365401472at_num @ F @ G @ ( produc2922128104949294807at_nat @ A @ B ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_simp
% 3.29/3.49  thf(fact_396_fst__map__prod,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a,G: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc473321116828791851t_unit @ ( produc3456481717235892722t_unit @ F @ G @ X2 ) )
% 3.29/3.49        = ( F @ ( produc473321116828791851t_unit @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_map_prod
% 3.29/3.49  thf(fact_397_snd__map__prod,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a,G: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc1126150082675451753t_unit @ ( produc3456481717235892722t_unit @ F @ G @ X2 ) )
% 3.29/3.49        = ( G @ ( produc1126150082675451753t_unit @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_map_prod
% 3.29/3.49  thf(fact_398_apfst__conv,axiom,
% 3.29/3.49      ! [F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat,X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( produc6529295065807390923at_nat @ F @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( produc9060074326276436823at_nat @ ( F @ X2 ) @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_conv
% 3.29/3.49  thf(fact_399_apfst__conv,axiom,
% 3.29/3.49      ! [F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( produc5380969780118646373at_nat @ F @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( produc2922128104949294807at_nat @ ( F @ X2 ) @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_conv
% 3.29/3.49  thf(fact_400_apfst__conv,axiom,
% 3.29/3.49      ! [F: nat > nat,X2: nat,Y3: num] :
% 3.29/3.49        ( ( produc6767424583952363640at_num @ F @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( F @ X2 ) @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_conv
% 3.29/3.49  thf(fact_401_apfst__conv,axiom,
% 3.29/3.49      ! [F: nat > nat,X2: nat,Y3: nat] :
% 3.29/3.49        ( ( produc986720760941809198at_nat @ F @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ ( F @ X2 ) @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_conv
% 3.29/3.49  thf(fact_402_apfst__conv,axiom,
% 3.29/3.49      ! [F: int > int,X2: int,Y3: int] :
% 3.29/3.49        ( ( produc2355237562570658114nt_int @ F @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_int_int @ ( F @ X2 ) @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_conv
% 3.29/3.49  thf(fact_403_apsnd__conv,axiom,
% 3.29/3.49      ! [F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat,X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( produc8057050257526108681at_nat @ F @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( produc9060074326276436823at_nat @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_404_apsnd__conv,axiom,
% 3.29/3.49      ! [F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( produc6468969725218530979at_nat @ F @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( produc2922128104949294807at_nat @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_405_apsnd__conv,axiom,
% 3.29/3.49      ! [F: num > num,X2: nat,Y3: num] :
% 3.29/3.49        ( ( produc8389275579088931588um_nat @ F @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_nat_num @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_406_apsnd__conv,axiom,
% 3.29/3.49      ! [F: num > nat,X2: nat,Y3: num] :
% 3.29/3.49        ( ( produc1035573138926686394at_nat @ F @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_407_apsnd__conv,axiom,
% 3.29/3.49      ! [F: nat > num,X2: nat,Y3: nat] :
% 3.29/3.49        ( ( produc1225095714263496890um_nat @ F @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_nat_num @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_408_apsnd__conv,axiom,
% 3.29/3.49      ! [F: nat > nat,X2: nat,Y3: nat] :
% 3.29/3.49        ( ( produc3094765310956027504at_nat @ F @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_409_apsnd__conv,axiom,
% 3.29/3.49      ! [F: int > int,X2: int,Y3: int] :
% 3.29/3.49        ( ( produc4463282112584876420nt_int @ F @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.49        = ( product_Pair_int_int @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_410_apsnd__conv,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer,X2: code_integer,Y3: code_integer] :
% 3.29/3.49        ( ( produc6499014454317279255nteger @ F @ ( produc1086072967326762835nteger @ X2 @ Y3 ) )
% 3.29/3.49        = ( produc1086072967326762835nteger @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_conv
% 3.29/3.49  thf(fact_411_fst__apfst,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc473321116828791851t_unit @ ( produc4508741384315284437t_unit @ F @ X2 ) )
% 3.29/3.49        = ( F @ ( produc473321116828791851t_unit @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_apfst
% 3.29/3.49  thf(fact_412_snd__apfst,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc1126150082675451753t_unit @ ( produc4508741384315284437t_unit @ F @ X2 ) )
% 3.29/3.49        = ( produc1126150082675451753t_unit @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_apfst
% 3.29/3.49  thf(fact_413_fst__apsnd,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer,X2: produc8923325533196201883nteger] :
% 3.29/3.49        ( ( produc8508995932063986495nteger @ ( produc6499014454317279255nteger @ F @ X2 ) )
% 3.29/3.49        = ( produc8508995932063986495nteger @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_apsnd
% 3.29/3.49  thf(fact_414_fst__apsnd,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc473321116828791851t_unit @ ( produc3038839249364385243_ref_a @ F @ X2 ) )
% 3.29/3.49        = ( produc473321116828791851t_unit @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_apsnd
% 3.29/3.49  thf(fact_415_snd__apsnd,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer,X2: produc8923325533196201883nteger] :
% 3.29/3.49        ( ( produc6174133586879617921nteger @ ( produc6499014454317279255nteger @ F @ X2 ) )
% 3.29/3.49        = ( F @ ( produc6174133586879617921nteger @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_apsnd
% 3.29/3.49  thf(fact_416_snd__apsnd,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc1126150082675451753t_unit @ ( produc3038839249364385243_ref_a @ F @ X2 ) )
% 3.29/3.49        = ( F @ ( produc1126150082675451753t_unit @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_apsnd
% 3.29/3.49  thf(fact_417_apsnd__eq__conv,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer,X2: produc8923325533196201883nteger,G: code_integer > code_integer] :
% 3.29/3.49        ( ( ( produc6499014454317279255nteger @ F @ X2 )
% 3.29/3.49          = ( produc6499014454317279255nteger @ G @ X2 ) )
% 3.29/3.49        = ( ( F @ ( produc6174133586879617921nteger @ X2 ) )
% 3.29/3.49          = ( G @ ( produc6174133586879617921nteger @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_eq_conv
% 3.29/3.49  thf(fact_418_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: nat,B: num,R3: set_Pr6200539531224447659at_num,F: nat > nat,G: num > num] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ R3 )
% 3.29/3.49       => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) @ ( image_4925883905578568901at_num @ ( produc1665548884793878990um_num @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_419_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: nat,B: num,R3: set_Pr6200539531224447659at_num,F: nat > nat,G: num > nat] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ R3 )
% 3.29/3.49       => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ A ) @ ( G @ B ) ) @ ( image_4217639968629731195at_nat @ ( produc5108217098638100356um_nat @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_420_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: nat,B: num,R3: set_Pr6200539531224447659at_num,F: nat > int,G: num > int] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ R3 )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F @ A ) @ ( G @ B ) ) @ ( image_1039142661021589043nt_int @ ( produc5477380188365894716um_int @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_421_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: nat,B: nat,R3: set_Pr1261947904930325089at_nat,F: nat > nat,G: nat > num] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R3 )
% 3.29/3.49       => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) @ ( image_5877158439796295311at_num @ ( produc3535218481486409604at_num @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_422_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: nat,B: nat,R3: set_Pr1261947904930325089at_nat,F: nat > nat,G: nat > nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R3 )
% 3.29/3.49       => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ A ) @ ( G @ B ) ) @ ( image_5168914502847457605at_nat @ ( produc6977886695330630970at_nat @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_423_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: nat,B: nat,R3: set_Pr1261947904930325089at_nat,F: nat > int,G: nat > int] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R3 )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F @ A ) @ ( G @ B ) ) @ ( image_1990417195239315453nt_int @ ( produc7347049785058425330at_int @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_424_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: int,B: int,R3: set_Pr958786334691620121nt_int,F: int > nat,G: int > num] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ R3 )
% 3.29/3.49       => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) @ ( image_6540112122905407959at_num @ ( produc2224754261294513212nt_num @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_425_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: int,B: int,R3: set_Pr958786334691620121nt_int,F: int > nat,G: int > nat] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ R3 )
% 3.29/3.49       => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ A ) @ ( G @ B ) ) @ ( image_5831868185956570253at_nat @ ( produc5667422475138734578nt_nat @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_426_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: int,B: int,R3: set_Pr958786334691620121nt_int,F: int > int,G: int > int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ R3 )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F @ A ) @ ( G @ B ) ) @ ( image_2653370878348428101nt_int @ ( produc6036585564866528938nt_int @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_427_map__prod__imageI,axiom,
% 3.29/3.49      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,R3: set_Pr4329608150637261639at_nat,F: set_Pr1261947904930325089at_nat > nat,G: set_Pr1261947904930325089at_nat > num] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ R3 )
% 3.29/3.49       => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ ( F @ A ) @ ( G @ B ) ) @ ( image_8033574621161215657at_num @ ( produc3932168101365401472at_num @ F @ G ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_imageI
% 3.29/3.49  thf(fact_428_snd__comp__apfst,axiom,
% 3.29/3.49      ! [F: ref_a > ref_a] :
% 3.29/3.49        ( ( comp_P8019343326919024234t_unit @ produc1126150082675451753t_unit @ ( produc4508741384315284437t_unit @ F ) )
% 3.29/3.49        = produc1126150082675451753t_unit ) ).
% 3.29/3.49  
% 3.29/3.49  % snd_comp_apfst
% 3.29/3.49  thf(fact_429_fst__comp__apsnd,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer] :
% 3.29/3.49        ( ( comp_P3428181540658402820nteger @ produc8508995932063986495nteger @ ( produc6499014454317279255nteger @ F ) )
% 3.29/3.49        = produc8508995932063986495nteger ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_comp_apsnd
% 3.29/3.49  thf(fact_430_fst__comp__apsnd,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( comp_P4044372497395451596t_unit @ produc473321116828791851t_unit @ ( produc3038839249364385243_ref_a @ F ) )
% 3.29/3.49        = produc473321116828791851t_unit ) ).
% 3.29/3.49  
% 3.29/3.49  % fst_comp_apsnd
% 3.29/3.49  thf(fact_431_apfst__apsnd,axiom,
% 3.29/3.49      ! [F: ref_a > set_Pr4329608150637261639at_nat,G: heap_e7401611519738050253t_unit > set_Pr4329608150637261639at_nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc2316621926130398489at_nat @ F @ ( produc5080965012319039829_ref_a @ G @ X2 ) )
% 3.29/3.49        = ( produc9060074326276436823at_nat @ ( F @ ( produc473321116828791851t_unit @ X2 ) ) @ ( G @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_apsnd
% 3.29/3.49  thf(fact_432_apfst__apsnd,axiom,
% 3.29/3.49      ! [F: ref_a > set_Pr1261947904930325089at_nat,G: heap_e7401611519738050253t_unit > set_Pr1261947904930325089at_nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc4016808307611786905at_nat @ F @ ( produc2928627021203296111_ref_a @ G @ X2 ) )
% 3.29/3.49        = ( produc2922128104949294807at_nat @ ( F @ ( produc473321116828791851t_unit @ X2 ) ) @ ( G @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_apsnd
% 3.29/3.49  thf(fact_433_apfst__apsnd,axiom,
% 3.29/3.49      ! [F: ref_a > nat,G: heap_e7401611519738050253t_unit > num,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc1704413584773205829at_num @ F @ ( produc7633249859560231688_ref_a @ G @ X2 ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( F @ ( produc473321116828791851t_unit @ X2 ) ) @ ( G @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_apsnd
% 3.29/3.49  thf(fact_434_apfst__apsnd,axiom,
% 3.29/3.49      ! [F: ref_a > nat,G: heap_e7401611519738050253t_unit > nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc5147081798617427195at_nat @ F @ ( produc8366372614399963582_ref_a @ G @ X2 ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ ( F @ ( produc473321116828791851t_unit @ X2 ) ) @ ( G @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_apsnd
% 3.29/3.49  thf(fact_435_apfst__apsnd,axiom,
% 3.29/3.49      ! [F: ref_a > int,G: heap_e7401611519738050253t_unit > int,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc6143945040009431475nt_int @ F @ ( produc3558794870892339738_ref_a @ G @ X2 ) )
% 3.29/3.49        = ( product_Pair_int_int @ ( F @ ( produc473321116828791851t_unit @ X2 ) ) @ ( G @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_apsnd
% 3.29/3.49  thf(fact_436_apsnd__apfst,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > set_Pr4329608150637261639at_nat,G: ref_a > set_Pr4329608150637261639at_nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc5990651871820846223at_nat @ F @ ( produc5988837738927868575t_unit @ G @ X2 ) )
% 3.29/3.49        = ( produc9060074326276436823at_nat @ ( G @ ( produc473321116828791851t_unit @ X2 ) ) @ ( F @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_apfst
% 3.29/3.49  thf(fact_437_apsnd__apfst,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > set_Pr1261947904930325089at_nat,G: ref_a > set_Pr1261947904930325089at_nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc8705118745468743695at_nat @ F @ ( produc5323809043756447493t_unit @ G @ X2 ) )
% 3.29/3.49        = ( produc2922128104949294807at_nat @ ( G @ ( produc473321116828791851t_unit @ X2 ) ) @ ( F @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_apfst
% 3.29/3.49  thf(fact_438_apsnd__apfst,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > num,G: ref_a > nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc3902377510303101371um_nat @ F @ ( produc6942186945380262242t_unit @ G @ X2 ) )
% 3.29/3.49        = ( product_Pair_nat_num @ ( G @ ( produc473321116828791851t_unit @ X2 ) ) @ ( F @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_apfst
% 3.29/3.49  thf(fact_439_apsnd__apfst,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > nat,G: ref_a > nat,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc5772047106995631985at_nat @ F @ ( produc6942186945380262242t_unit @ G @ X2 ) )
% 3.29/3.49        = ( product_Pair_nat_nat @ ( G @ ( produc473321116828791851t_unit @ X2 ) ) @ ( F @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_apfst
% 3.29/3.49  thf(fact_440_apsnd__apfst,axiom,
% 3.29/3.49      ! [F: heap_e7401611519738050253t_unit > int,G: ref_a > int,X2: produc7812382424243267045t_unit] :
% 3.29/3.49        ( ( produc6768910348387636265nt_int @ F @ ( produc5845103964736263686t_unit @ G @ X2 ) )
% 3.29/3.49        = ( product_Pair_int_int @ ( G @ ( produc473321116828791851t_unit @ X2 ) ) @ ( F @ ( produc1126150082675451753t_unit @ X2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_apfst
% 3.29/3.49  thf(fact_441_apsnd__apfst__commute,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer,G: code_integer > code_integer,P: produc8923325533196201883nteger] :
% 3.29/3.49        ( ( produc6499014454317279255nteger @ F @ ( produc3195571438000033749nteger @ G @ P ) )
% 3.29/3.49        = ( produc3195571438000033749nteger @ G @ ( produc6499014454317279255nteger @ F @ P ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_apfst_commute
% 3.29/3.49  thf(fact_442_subset__image__iff,axiom,
% 3.29/3.49      ! [B5: set_rat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.49        = ( ? [AA: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ AA @ A4 )
% 3.29/3.49              & ( B5
% 3.29/3.49                = ( image_nat_rat @ F @ AA ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_image_iff
% 3.29/3.49  thf(fact_443_subset__image__iff,axiom,
% 3.29/3.49      ! [B5: set_nat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.49        = ( ? [AA: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ AA @ A4 )
% 3.29/3.49              & ( B5
% 3.29/3.49                = ( image_nat_nat @ F @ AA ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_image_iff
% 3.29/3.49  thf(fact_444_subset__image__iff,axiom,
% 3.29/3.49      ! [B5: set_int,F: nat > int,A4: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ B5 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.49        = ( ? [AA: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ AA @ A4 )
% 3.29/3.49              & ( B5
% 3.29/3.49                = ( image_nat_int @ F @ AA ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_image_iff
% 3.29/3.49  thf(fact_445_subset__image__iff,axiom,
% 3.29/3.49      ! [B5: set_nat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.49        = ( ? [AA: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ AA @ A4 )
% 3.29/3.49              & ( B5
% 3.29/3.49                = ( image_int_nat @ F @ AA ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_image_iff
% 3.29/3.49  thf(fact_446_subset__image__iff,axiom,
% 3.29/3.49      ! [B5: set_int,F: int > int,A4: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ B5 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.49        = ( ? [AA: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ AA @ A4 )
% 3.29/3.49              & ( B5
% 3.29/3.49                = ( image_int_int @ F @ AA ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_image_iff
% 3.29/3.49  thf(fact_447_image__subset__iff,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.49        ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.49        = ( ! [X4: nat] :
% 3.29/3.49              ( ( member_nat @ X4 @ A4 )
% 3.29/3.49             => ( member_rat @ ( F @ X4 ) @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subset_iff
% 3.29/3.49  thf(fact_448_image__subset__iff,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.49        = ( ! [X4: nat] :
% 3.29/3.49              ( ( member_nat @ X4 @ A4 )
% 3.29/3.49             => ( member_nat @ ( F @ X4 ) @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subset_iff
% 3.29/3.49  thf(fact_449_image__subset__iff,axiom,
% 3.29/3.49      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.49        = ( ! [X4: int] :
% 3.29/3.49              ( ( member_int @ X4 @ A4 )
% 3.29/3.49             => ( member_nat @ ( F @ X4 ) @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subset_iff
% 3.29/3.49  thf(fact_450_image__subset__iff,axiom,
% 3.29/3.49      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.49        = ( ! [X4: nat] :
% 3.29/3.49              ( ( member_nat @ X4 @ A4 )
% 3.29/3.49             => ( member_int @ ( F @ X4 ) @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subset_iff
% 3.29/3.49  thf(fact_451_image__subset__iff,axiom,
% 3.29/3.49      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.49        = ( ! [X4: int] :
% 3.29/3.49              ( ( member_int @ X4 @ A4 )
% 3.29/3.49             => ( member_int @ ( F @ X4 ) @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subset_iff
% 3.29/3.49  thf(fact_452_subset__imageE,axiom,
% 3.29/3.49      ! [B5: set_rat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.49       => ~ ! [C2: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.49             => ( B5
% 3.29/3.49               != ( image_nat_rat @ F @ C2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_imageE
% 3.29/3.49  thf(fact_453_subset__imageE,axiom,
% 3.29/3.49      ! [B5: set_nat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.49       => ~ ! [C2: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.49             => ( B5
% 3.29/3.49               != ( image_nat_nat @ F @ C2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_imageE
% 3.29/3.49  thf(fact_454_subset__imageE,axiom,
% 3.29/3.49      ! [B5: set_int,F: nat > int,A4: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ B5 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.49       => ~ ! [C2: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.49             => ( B5
% 3.29/3.49               != ( image_nat_int @ F @ C2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_imageE
% 3.29/3.49  thf(fact_455_subset__imageE,axiom,
% 3.29/3.49      ! [B5: set_nat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.49       => ~ ! [C2: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ C2 @ A4 )
% 3.29/3.49             => ( B5
% 3.29/3.49               != ( image_int_nat @ F @ C2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_imageE
% 3.29/3.49  thf(fact_456_subset__imageE,axiom,
% 3.29/3.49      ! [B5: set_int,F: int > int,A4: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ B5 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.49       => ~ ! [C2: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ C2 @ A4 )
% 3.29/3.49             => ( B5
% 3.29/3.49               != ( image_int_int @ F @ C2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subset_imageE
% 3.29/3.49  thf(fact_457_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_o,F: $o > $o,B5: set_o] :
% 3.29/3.49        ( ! [X: $o] :
% 3.29/3.49            ( ( member_o @ X @ A4 )
% 3.29/3.49           => ( member_o @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_o @ ( image_o_o @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_458_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_o,F: $o > nat,B5: set_nat] :
% 3.29/3.49        ( ! [X: $o] :
% 3.29/3.49            ( ( member_o @ X @ A4 )
% 3.29/3.49           => ( member_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_nat @ ( image_o_nat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_459_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_o,F: $o > int,B5: set_int] :
% 3.29/3.49        ( ! [X: $o] :
% 3.29/3.49            ( ( member_o @ X @ A4 )
% 3.29/3.49           => ( member_int @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_int @ ( image_o_int @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_460_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_nat,F: nat > rat,B5: set_rat] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49           => ( member_rat @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_461_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_nat,F: nat > $o,B5: set_o] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49           => ( member_o @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_o @ ( image_nat_o @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_462_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_nat,F: nat > nat,B5: set_nat] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49           => ( member_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_463_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_nat,F: nat > int,B5: set_int] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49           => ( member_int @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_464_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_int,F: int > $o,B5: set_o] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( member_int @ X @ A4 )
% 3.29/3.49           => ( member_o @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_o @ ( image_int_o @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_465_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_int,F: int > nat,B5: set_nat] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( member_int @ X @ A4 )
% 3.29/3.49           => ( member_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_466_image__subsetI,axiom,
% 3.29/3.49      ! [A4: set_int,F: int > int,B5: set_int] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( member_int @ X @ A4 )
% 3.29/3.49           => ( member_int @ ( F @ X ) @ B5 ) )
% 3.29/3.49       => ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_subsetI
% 3.29/3.49  thf(fact_467_image__mono,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,F: nat > rat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.49       => ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_mono
% 3.29/3.49  thf(fact_468_image__mono,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,F: nat > nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.49       => ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_mono
% 3.29/3.49  thf(fact_469_image__mono,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,F: nat > int] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.49       => ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_mono
% 3.29/3.49  thf(fact_470_image__mono,axiom,
% 3.29/3.49      ! [A4: set_int,B5: set_int,F: int > nat] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.49       => ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_mono
% 3.29/3.49  thf(fact_471_image__mono,axiom,
% 3.29/3.49      ! [A4: set_int,B5: set_int,F: int > int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.49       => ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_mono
% 3.29/3.49  thf(fact_472_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,H: nat > $o,I: nat > $o] :
% 3.29/3.49        ( ( comp_P4785046977597218846at_nat @ ( produc1928436952130685430_o_o_o @ F @ G ) @ ( produc6957950696844810486_nat_o @ H @ I ) )
% 3.29/3.49        = ( produc6957950696844810486_nat_o @ ( comp_o_o_nat @ F @ H ) @ ( comp_o_o_nat @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_473_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > num,H: nat > $o,I: int > nat] :
% 3.29/3.49        ( ( comp_P9057111047297513408at_int @ ( produc3628557804203378146at_num @ F @ G ) @ ( produc8250590009387450446nt_nat @ H @ I ) )
% 3.29/3.49        = ( produc4807921795543229080nt_num @ ( comp_o_o_nat @ F @ H ) @ ( comp_nat_num_int @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_474_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > nat,H: nat > $o,I: nat > nat] :
% 3.29/3.49        ( ( comp_P4962864564169660718at_nat @ ( produc7071226018047599512at_nat @ F @ G ) @ ( produc7251236297486395890at_nat @ H @ I ) )
% 3.29/3.49        = ( produc7251236297486395890at_nat @ ( comp_o_o_nat @ F @ H ) @ ( comp_nat_nat_nat @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_475_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: int > nat,H: nat > $o,I: int > int] :
% 3.29/3.49        ( ( comp_P465755969289462830at_int @ ( produc8070579729948654068nt_nat @ F @ G ) @ ( produc8248099538878400170nt_int @ H @ I ) )
% 3.29/3.49        = ( produc8250590009387450446nt_nat @ ( comp_o_o_nat @ F @ H ) @ ( comp_int_nat_int @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_476_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: nat > num,G: $o > $o,H: int > nat,I: nat > $o] :
% 3.29/3.49        ( ( comp_P5807473265676440968nt_nat @ ( produc3264868786340801506um_o_o @ F @ G ) @ ( produc8298419091753553490_nat_o @ H @ I ) )
% 3.29/3.49        = ( produc9074608839065728392_nat_o @ ( comp_nat_num_int @ F @ H ) @ ( comp_o_o_nat @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_477_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > num,H: int > nat,I: int > nat] :
% 3.29/3.49        ( ( comp_P9218946435557410242nt_int @ ( produc1476026309457068494at_num @ F @ G ) @ ( produc5667422475138734578nt_nat @ H @ I ) )
% 3.29/3.49        = ( produc165562089265172102nt_num @ ( comp_nat_num_int @ F @ H ) @ ( comp_nat_num_int @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_478_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > nat,H: int > nat,I: nat > nat] :
% 3.29/3.49        ( ( comp_P5124699952429557552nt_nat @ ( produc4918694523301289860at_nat @ F @ G ) @ ( produc4668068763237680022at_nat @ H @ I ) )
% 3.29/3.49        = ( produc2608876591208338912at_nat @ ( comp_nat_num_int @ F @ H ) @ ( comp_nat_nat_nat @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_479_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,H: int > nat,I: int > int] :
% 3.29/3.49        ( ( comp_P3772045228931366376nt_int @ ( produc5918048235202344416nt_nat @ F @ G ) @ ( produc5664932004629684302nt_int @ H @ I ) )
% 3.29/3.49        = ( produc3608230303109393468nt_nat @ ( comp_nat_num_int @ F @ H ) @ ( comp_int_nat_int @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_480_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: $o > $o,H: nat > nat,I: nat > $o] :
% 3.29/3.49        ( ( comp_P8901546994122883554at_nat @ ( produc2001155298098703512at_o_o @ F @ G ) @ ( produc4787215299218314158_nat_o @ H @ I ) )
% 3.29/3.49        = ( produc4787215299218314158_nat_o @ ( comp_nat_nat_nat @ F @ H ) @ ( comp_o_o_nat @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_481_map__prod_Ocomp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > num,H: nat > nat,I: int > nat] :
% 3.29/3.49        ( ( comp_P6334688330072917552at_int @ ( produc3535218481486409604at_num @ F @ G ) @ ( produc7977240407231685526nt_nat @ H @ I ) )
% 3.29/3.49        = ( produc4534572193387464160nt_num @ ( comp_nat_nat_nat @ F @ H ) @ ( comp_nat_num_int @ G @ I ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.comp
% 3.29/3.49  thf(fact_482_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,H: nat > $o,I: nat > $o,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( produc1928436952130685430_o_o_o @ F @ G @ ( produc6957950696844810486_nat_o @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc6957950696844810486_nat_o @ ( comp_o_o_nat @ F @ H ) @ ( comp_o_o_nat @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_483_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > num,H: nat > $o,I: int > nat,Prod: product_prod_nat_int] :
% 3.29/3.49        ( ( produc3628557804203378146at_num @ F @ G @ ( produc8250590009387450446nt_nat @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc4807921795543229080nt_num @ ( comp_o_o_nat @ F @ H ) @ ( comp_nat_num_int @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_484_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > nat,H: nat > $o,I: nat > nat,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( produc7071226018047599512at_nat @ F @ G @ ( produc7251236297486395890at_nat @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc7251236297486395890at_nat @ ( comp_o_o_nat @ F @ H ) @ ( comp_nat_nat_nat @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_485_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: $o > $o,G: int > nat,H: nat > $o,I: int > int,Prod: product_prod_nat_int] :
% 3.29/3.49        ( ( produc8070579729948654068nt_nat @ F @ G @ ( produc8248099538878400170nt_int @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc8250590009387450446nt_nat @ ( comp_o_o_nat @ F @ H ) @ ( comp_int_nat_int @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_486_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: nat > num,G: $o > $o,H: int > nat,I: nat > $o,Prod: product_prod_int_nat] :
% 3.29/3.49        ( ( produc3264868786340801506um_o_o @ F @ G @ ( produc8298419091753553490_nat_o @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc9074608839065728392_nat_o @ ( comp_nat_num_int @ F @ H ) @ ( comp_o_o_nat @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_487_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > num,H: int > nat,I: int > nat,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( produc1476026309457068494at_num @ F @ G @ ( produc5667422475138734578nt_nat @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc165562089265172102nt_num @ ( comp_nat_num_int @ F @ H ) @ ( comp_nat_num_int @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_488_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > nat,H: int > nat,I: nat > nat,Prod: product_prod_int_nat] :
% 3.29/3.49        ( ( produc4918694523301289860at_nat @ F @ G @ ( produc4668068763237680022at_nat @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc2608876591208338912at_nat @ ( comp_nat_num_int @ F @ H ) @ ( comp_nat_nat_nat @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_489_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,H: int > nat,I: int > int,Prod: product_prod_int_int] :
% 3.29/3.49        ( ( produc5918048235202344416nt_nat @ F @ G @ ( produc5664932004629684302nt_int @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc3608230303109393468nt_nat @ ( comp_nat_num_int @ F @ H ) @ ( comp_int_nat_int @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_490_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: nat > nat,G: $o > $o,H: nat > nat,I: nat > $o,Prod: product_prod_nat_nat] :
% 3.29/3.49        ( ( produc2001155298098703512at_o_o @ F @ G @ ( produc4787215299218314158_nat_o @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc4787215299218314158_nat_o @ ( comp_nat_nat_nat @ F @ H ) @ ( comp_o_o_nat @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_491_map__prod_Ocompositionality,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > num,H: nat > nat,I: int > nat,Prod: product_prod_nat_int] :
% 3.29/3.49        ( ( produc3535218481486409604at_num @ F @ G @ ( produc7977240407231685526nt_nat @ H @ I @ Prod ) )
% 3.29/3.49        = ( produc4534572193387464160nt_num @ ( comp_nat_nat_nat @ F @ H ) @ ( comp_nat_num_int @ G @ I ) @ Prod ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod.compositionality
% 3.29/3.49  thf(fact_492_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: $o > $o,F22: nat > $o,G1: $o > $o,G22: nat > $o] :
% 3.29/3.49        ( ( produc6957950696844810486_nat_o @ ( comp_o_o_nat @ F1 @ F22 ) @ ( comp_o_o_nat @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P4785046977597218846at_nat @ ( produc1928436952130685430_o_o_o @ F1 @ G1 ) @ ( produc6957950696844810486_nat_o @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_493_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: $o > $o,F22: nat > $o,G1: nat > num,G22: int > nat] :
% 3.29/3.49        ( ( produc4807921795543229080nt_num @ ( comp_o_o_nat @ F1 @ F22 ) @ ( comp_nat_num_int @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P9057111047297513408at_int @ ( produc3628557804203378146at_num @ F1 @ G1 ) @ ( produc8250590009387450446nt_nat @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_494_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: $o > $o,F22: nat > $o,G1: nat > nat,G22: nat > nat] :
% 3.29/3.49        ( ( produc7251236297486395890at_nat @ ( comp_o_o_nat @ F1 @ F22 ) @ ( comp_nat_nat_nat @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P4962864564169660718at_nat @ ( produc7071226018047599512at_nat @ F1 @ G1 ) @ ( produc7251236297486395890at_nat @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_495_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: $o > $o,F22: nat > $o,G1: int > nat,G22: int > int] :
% 3.29/3.49        ( ( produc8250590009387450446nt_nat @ ( comp_o_o_nat @ F1 @ F22 ) @ ( comp_int_nat_int @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P465755969289462830at_int @ ( produc8070579729948654068nt_nat @ F1 @ G1 ) @ ( produc8248099538878400170nt_int @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_496_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: nat > num,F22: int > nat,G1: $o > $o,G22: nat > $o] :
% 3.29/3.49        ( ( produc9074608839065728392_nat_o @ ( comp_nat_num_int @ F1 @ F22 ) @ ( comp_o_o_nat @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P5807473265676440968nt_nat @ ( produc3264868786340801506um_o_o @ F1 @ G1 ) @ ( produc8298419091753553490_nat_o @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_497_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: nat > num,F22: int > nat,G1: nat > num,G22: int > nat] :
% 3.29/3.49        ( ( produc165562089265172102nt_num @ ( comp_nat_num_int @ F1 @ F22 ) @ ( comp_nat_num_int @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P9218946435557410242nt_int @ ( produc1476026309457068494at_num @ F1 @ G1 ) @ ( produc5667422475138734578nt_nat @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_498_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: nat > num,F22: int > nat,G1: nat > nat,G22: nat > nat] :
% 3.29/3.49        ( ( produc2608876591208338912at_nat @ ( comp_nat_num_int @ F1 @ F22 ) @ ( comp_nat_nat_nat @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P5124699952429557552nt_nat @ ( produc4918694523301289860at_nat @ F1 @ G1 ) @ ( produc4668068763237680022at_nat @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_499_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: nat > num,F22: int > nat,G1: int > nat,G22: int > int] :
% 3.29/3.49        ( ( produc3608230303109393468nt_nat @ ( comp_nat_num_int @ F1 @ F22 ) @ ( comp_int_nat_int @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P3772045228931366376nt_int @ ( produc5918048235202344416nt_nat @ F1 @ G1 ) @ ( produc5664932004629684302nt_int @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_500_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: nat > nat,F22: nat > nat,G1: $o > $o,G22: nat > $o] :
% 3.29/3.49        ( ( produc4787215299218314158_nat_o @ ( comp_nat_nat_nat @ F1 @ F22 ) @ ( comp_o_o_nat @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P8901546994122883554at_nat @ ( produc2001155298098703512at_o_o @ F1 @ G1 ) @ ( produc4787215299218314158_nat_o @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_501_map__prod__compose,axiom,
% 3.29/3.49      ! [F1: nat > nat,F22: nat > nat,G1: nat > num,G22: int > nat] :
% 3.29/3.49        ( ( produc4534572193387464160nt_num @ ( comp_nat_nat_nat @ F1 @ F22 ) @ ( comp_nat_num_int @ G1 @ G22 ) )
% 3.29/3.49        = ( comp_P6334688330072917552at_int @ ( produc3535218481486409604at_num @ F1 @ G1 ) @ ( produc7977240407231685526nt_nat @ F22 @ G22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_compose
% 3.29/3.49  thf(fact_502_apsnd__compose,axiom,
% 3.29/3.49      ! [F: code_integer > code_integer,G: code_integer > code_integer,X2: produc8923325533196201883nteger] :
% 3.29/3.49        ( ( produc6499014454317279255nteger @ F @ ( produc6499014454317279255nteger @ G @ X2 ) )
% 3.29/3.49        = ( produc6499014454317279255nteger @ ( comp_C7449957260575251196nteger @ F @ G ) @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_compose
% 3.29/3.49  thf(fact_503_Collect__case__prod__Grp__in,axiom,
% 3.29/3.49      ! [Z2: produc3843707927480180839at_nat,A4: set_se7855581050983116737at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ Z2 @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ ( bNF_Gr6677838525845560078at_nat @ A4 @ F ) ) ) )
% 3.29/3.49       => ( member2643936169264416010at_nat @ ( produc6011863565407846595at_nat @ Z2 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_in
% 3.29/3.49  thf(fact_504_Collect__case__prod__Grp__in,axiom,
% 3.29/3.49      ! [Z2: product_prod_nat_nat,A4: set_nat,F: nat > nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ Z2 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( bNF_Grp_nat_nat @ A4 @ F ) ) ) )
% 3.29/3.49       => ( member_nat @ ( product_fst_nat_nat @ Z2 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_in
% 3.29/3.49  thf(fact_505_Collect__case__prod__Grp__in,axiom,
% 3.29/3.49      ! [Z2: produc7812382424243267045t_unit,A4: set_ref_a,F: ref_a > heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( member7849944260330398460t_unit @ Z2 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ ( bNF_Gr6510375311308651680t_unit @ A4 @ F ) ) ) )
% 3.29/3.49       => ( member_ref_a @ ( produc473321116828791851t_unit @ Z2 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_in
% 3.29/3.49  thf(fact_506_Collect__case__prod__Grp__in,axiom,
% 3.29/3.49      ! [Z2: product_prod_int_int,A4: set_int,F: int > int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ Z2 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( bNF_Grp_int_int @ A4 @ F ) ) ) )
% 3.29/3.49       => ( member_int @ ( product_fst_int_int @ Z2 ) @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_Grp_in
% 3.29/3.49  thf(fact_507_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_nat_num,F: nat > nat,G: num > num,R3: set_Pr6200539531224447659at_num] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ C @ ( image_4925883905578568901at_num @ ( produc1665548884793878990um_num @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_nat_num @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_508_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_nat_num,F: nat > nat,G: nat > num,R3: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ C @ ( image_5877158439796295311at_num @ ( produc3535218481486409604at_num @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_nat_num @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_509_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_nat_num,F: int > nat,G: int > num,R3: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ C @ ( image_6540112122905407959at_num @ ( produc2224754261294513212nt_num @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_nat_num @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_510_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_nat_nat,F: nat > nat,G: num > nat,R3: set_Pr6200539531224447659at_num] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ C @ ( image_4217639968629731195at_nat @ ( produc5108217098638100356um_nat @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_nat_nat @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_511_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_nat_nat,F: nat > nat,G: nat > nat,R3: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ C @ ( image_5168914502847457605at_nat @ ( produc6977886695330630970at_nat @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_nat_nat @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_512_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_nat_nat,F: int > nat,G: int > nat,R3: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ C @ ( image_5831868185956570253at_nat @ ( produc5667422475138734578nt_nat @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_nat_nat @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_513_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_int_int,F: nat > int,G: num > int,R3: set_Pr6200539531224447659at_num] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ C @ ( image_1039142661021589043nt_int @ ( produc5477380188365894716um_int @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_int_int @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_514_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_int_int,F: nat > int,G: nat > int,R3: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ C @ ( image_1990417195239315453nt_int @ ( produc7347049785058425330at_int @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_int_int @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_515_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: product_prod_int_int,F: int > int,G: int > int,R3: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ C @ ( image_2653370878348428101nt_int @ ( produc6036585564866528938nt_int @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( product_Pair_int_int @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_516_prod__fun__imageE,axiom,
% 3.29/3.49      ! [C: produc3843707927480180839at_nat,F: nat > set_Pr1261947904930325089at_nat,G: num > set_Pr1261947904930325089at_nat,R3: set_Pr6200539531224447659at_num] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ C @ ( image_2708129733610033121at_nat @ ( produc170006858110003436at_nat @ F @ G ) @ R3 ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( C
% 3.29/3.49                = ( produc2922128104949294807at_nat @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49             => ~ ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X @ Y ) @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod_fun_imageE
% 3.29/3.49  thf(fact_517_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: $o,A4: set_o,B: $o,F: $o > $o] :
% 3.29/3.49        ( ( member_o @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_o @ B @ ( image_o_o @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_518_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: $o,A4: set_o,B: nat,F: $o > nat] :
% 3.29/3.49        ( ( member_o @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_nat @ B @ ( image_o_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_519_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: $o,A4: set_o,B: int,F: $o > int] :
% 3.29/3.49        ( ( member_o @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_int @ B @ ( image_o_int @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_520_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,B: rat,F: nat > rat] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_rat @ B @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_521_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,B: $o,F: nat > $o] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_o @ B @ ( image_nat_o @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_522_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,B: nat,F: nat > nat] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_nat @ B @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_523_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,B: int,F: nat > int] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_int @ B @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_524_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,B: $o,F: int > $o] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_o @ B @ ( image_int_o @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_525_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,B: nat,F: int > nat] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_nat @ B @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_526_rev__image__eqI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,B: int,F: int > int] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( ( B
% 3.29/3.49            = ( F @ X2 ) )
% 3.29/3.49         => ( member_int @ B @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rev_image_eqI
% 3.29/3.49  thf(fact_527_ball__imageD,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,P2: rat > $o] :
% 3.29/3.49        ( ! [X: rat] :
% 3.29/3.49            ( ( member_rat @ X @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.49           => ( P2 @ X ) )
% 3.29/3.49       => ! [X6: nat] :
% 3.29/3.49            ( ( member_nat @ X6 @ A4 )
% 3.29/3.49           => ( P2 @ ( F @ X6 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ball_imageD
% 3.29/3.49  thf(fact_528_ball__imageD,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,P2: nat > $o] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.49           => ( P2 @ X ) )
% 3.29/3.49       => ! [X6: nat] :
% 3.29/3.49            ( ( member_nat @ X6 @ A4 )
% 3.29/3.49           => ( P2 @ ( F @ X6 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ball_imageD
% 3.29/3.49  thf(fact_529_ball__imageD,axiom,
% 3.29/3.49      ! [F: nat > int,A4: set_nat,P2: int > $o] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( member_int @ X @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.49           => ( P2 @ X ) )
% 3.29/3.49       => ! [X6: nat] :
% 3.29/3.49            ( ( member_nat @ X6 @ A4 )
% 3.29/3.49           => ( P2 @ ( F @ X6 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ball_imageD
% 3.29/3.49  thf(fact_530_ball__imageD,axiom,
% 3.29/3.49      ! [F: int > nat,A4: set_int,P2: nat > $o] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.49           => ( P2 @ X ) )
% 3.29/3.49       => ! [X6: int] :
% 3.29/3.49            ( ( member_int @ X6 @ A4 )
% 3.29/3.49           => ( P2 @ ( F @ X6 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ball_imageD
% 3.29/3.49  thf(fact_531_ball__imageD,axiom,
% 3.29/3.49      ! [F: int > int,A4: set_int,P2: int > $o] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( member_int @ X @ ( image_int_int @ F @ A4 ) )
% 3.29/3.49           => ( P2 @ X ) )
% 3.29/3.49       => ! [X6: int] :
% 3.29/3.49            ( ( member_int @ X6 @ A4 )
% 3.29/3.49           => ( P2 @ ( F @ X6 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % ball_imageD
% 3.29/3.49  thf(fact_532_image__cong,axiom,
% 3.29/3.49      ! [M: set_nat,N: set_nat,F: nat > rat,G: nat > rat] :
% 3.29/3.49        ( ( M = N )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ N )
% 3.29/3.49             => ( ( F @ X )
% 3.29/3.49                = ( G @ X ) ) )
% 3.29/3.49         => ( ( image_nat_rat @ F @ M )
% 3.29/3.49            = ( image_nat_rat @ G @ N ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_cong
% 3.29/3.49  thf(fact_533_image__cong,axiom,
% 3.29/3.49      ! [M: set_nat,N: set_nat,F: nat > nat,G: nat > nat] :
% 3.29/3.49        ( ( M = N )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ N )
% 3.29/3.49             => ( ( F @ X )
% 3.29/3.49                = ( G @ X ) ) )
% 3.29/3.49         => ( ( image_nat_nat @ F @ M )
% 3.29/3.49            = ( image_nat_nat @ G @ N ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_cong
% 3.29/3.49  thf(fact_534_image__cong,axiom,
% 3.29/3.49      ! [M: set_nat,N: set_nat,F: nat > int,G: nat > int] :
% 3.29/3.49        ( ( M = N )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ N )
% 3.29/3.49             => ( ( F @ X )
% 3.29/3.49                = ( G @ X ) ) )
% 3.29/3.49         => ( ( image_nat_int @ F @ M )
% 3.29/3.49            = ( image_nat_int @ G @ N ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_cong
% 3.29/3.49  thf(fact_535_image__cong,axiom,
% 3.29/3.49      ! [M: set_int,N: set_int,F: int > nat,G: int > nat] :
% 3.29/3.49        ( ( M = N )
% 3.29/3.49       => ( ! [X: int] :
% 3.29/3.49              ( ( member_int @ X @ N )
% 3.29/3.49             => ( ( F @ X )
% 3.29/3.49                = ( G @ X ) ) )
% 3.29/3.49         => ( ( image_int_nat @ F @ M )
% 3.29/3.49            = ( image_int_nat @ G @ N ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_cong
% 3.29/3.49  thf(fact_536_image__cong,axiom,
% 3.29/3.49      ! [M: set_int,N: set_int,F: int > int,G: int > int] :
% 3.29/3.49        ( ( M = N )
% 3.29/3.49       => ( ! [X: int] :
% 3.29/3.49              ( ( member_int @ X @ N )
% 3.29/3.49             => ( ( F @ X )
% 3.29/3.49                = ( G @ X ) ) )
% 3.29/3.49         => ( ( image_int_int @ F @ M )
% 3.29/3.49            = ( image_int_int @ G @ N ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_cong
% 3.29/3.49  thf(fact_537_bex__imageD,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,P2: rat > $o] :
% 3.29/3.49        ( ? [X6: rat] :
% 3.29/3.49            ( ( member_rat @ X6 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.49            & ( P2 @ X6 ) )
% 3.29/3.49       => ? [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49            & ( P2 @ ( F @ X ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % bex_imageD
% 3.29/3.49  thf(fact_538_bex__imageD,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,P2: nat > $o] :
% 3.29/3.49        ( ? [X6: nat] :
% 3.29/3.49            ( ( member_nat @ X6 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.49            & ( P2 @ X6 ) )
% 3.29/3.49       => ? [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49            & ( P2 @ ( F @ X ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % bex_imageD
% 3.29/3.49  thf(fact_539_bex__imageD,axiom,
% 3.29/3.49      ! [F: nat > int,A4: set_nat,P2: int > $o] :
% 3.29/3.49        ( ? [X6: int] :
% 3.29/3.49            ( ( member_int @ X6 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.49            & ( P2 @ X6 ) )
% 3.29/3.49       => ? [X: nat] :
% 3.29/3.49            ( ( member_nat @ X @ A4 )
% 3.29/3.49            & ( P2 @ ( F @ X ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % bex_imageD
% 3.29/3.49  thf(fact_540_bex__imageD,axiom,
% 3.29/3.49      ! [F: int > nat,A4: set_int,P2: nat > $o] :
% 3.29/3.49        ( ? [X6: nat] :
% 3.29/3.49            ( ( member_nat @ X6 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.49            & ( P2 @ X6 ) )
% 3.29/3.49       => ? [X: int] :
% 3.29/3.49            ( ( member_int @ X @ A4 )
% 3.29/3.49            & ( P2 @ ( F @ X ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % bex_imageD
% 3.29/3.49  thf(fact_541_bex__imageD,axiom,
% 3.29/3.49      ! [F: int > int,A4: set_int,P2: int > $o] :
% 3.29/3.49        ( ? [X6: int] :
% 3.29/3.49            ( ( member_int @ X6 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.49            & ( P2 @ X6 ) )
% 3.29/3.49       => ? [X: int] :
% 3.29/3.49            ( ( member_int @ X @ A4 )
% 3.29/3.49            & ( P2 @ ( F @ X ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % bex_imageD
% 3.29/3.49  thf(fact_542_image__iff,axiom,
% 3.29/3.49      ! [Z2: rat,F: nat > rat,A4: set_nat] :
% 3.29/3.49        ( ( member_rat @ Z2 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.49        = ( ? [X4: nat] :
% 3.29/3.49              ( ( member_nat @ X4 @ A4 )
% 3.29/3.49              & ( Z2
% 3.29/3.49                = ( F @ X4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_iff
% 3.29/3.49  thf(fact_543_image__iff,axiom,
% 3.29/3.49      ! [Z2: nat,F: nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( member_nat @ Z2 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.49        = ( ? [X4: nat] :
% 3.29/3.49              ( ( member_nat @ X4 @ A4 )
% 3.29/3.49              & ( Z2
% 3.29/3.49                = ( F @ X4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_iff
% 3.29/3.49  thf(fact_544_image__iff,axiom,
% 3.29/3.49      ! [Z2: nat,F: int > nat,A4: set_int] :
% 3.29/3.49        ( ( member_nat @ Z2 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.49        = ( ? [X4: int] :
% 3.29/3.49              ( ( member_int @ X4 @ A4 )
% 3.29/3.49              & ( Z2
% 3.29/3.49                = ( F @ X4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_iff
% 3.29/3.49  thf(fact_545_image__iff,axiom,
% 3.29/3.49      ! [Z2: int,F: nat > int,A4: set_nat] :
% 3.29/3.49        ( ( member_int @ Z2 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.49        = ( ? [X4: nat] :
% 3.29/3.49              ( ( member_nat @ X4 @ A4 )
% 3.29/3.49              & ( Z2
% 3.29/3.49                = ( F @ X4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_iff
% 3.29/3.49  thf(fact_546_image__iff,axiom,
% 3.29/3.49      ! [Z2: int,F: int > int,A4: set_int] :
% 3.29/3.49        ( ( member_int @ Z2 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.49        = ( ? [X4: int] :
% 3.29/3.49              ( ( member_int @ X4 @ A4 )
% 3.29/3.49              & ( Z2
% 3.29/3.49                = ( F @ X4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_iff
% 3.29/3.49  thf(fact_547_imageI,axiom,
% 3.29/3.49      ! [X2: $o,A4: set_o,F: $o > $o] :
% 3.29/3.49        ( ( member_o @ X2 @ A4 )
% 3.29/3.49       => ( member_o @ ( F @ X2 ) @ ( image_o_o @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_548_imageI,axiom,
% 3.29/3.49      ! [X2: $o,A4: set_o,F: $o > nat] :
% 3.29/3.49        ( ( member_o @ X2 @ A4 )
% 3.29/3.49       => ( member_nat @ ( F @ X2 ) @ ( image_o_nat @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_549_imageI,axiom,
% 3.29/3.49      ! [X2: $o,A4: set_o,F: $o > int] :
% 3.29/3.49        ( ( member_o @ X2 @ A4 )
% 3.29/3.49       => ( member_int @ ( F @ X2 ) @ ( image_o_int @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_550_imageI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,F: nat > rat] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( member_rat @ ( F @ X2 ) @ ( image_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_551_imageI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,F: nat > $o] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( member_o @ ( F @ X2 ) @ ( image_nat_o @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_552_imageI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,F: nat > nat] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( member_nat @ ( F @ X2 ) @ ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_553_imageI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,F: nat > int] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( member_int @ ( F @ X2 ) @ ( image_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_554_imageI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,F: int > $o] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( member_o @ ( F @ X2 ) @ ( image_int_o @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_555_imageI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,F: int > nat] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( member_nat @ ( F @ X2 ) @ ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_556_imageI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,F: int > int] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( member_int @ ( F @ X2 ) @ ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % imageI
% 3.29/3.49  thf(fact_557_Sup_OSUP__cong,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,C3: nat > rat,D: nat > rat,Sup: set_rat > rat] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Sup @ ( image_nat_rat @ C3 @ A4 ) )
% 3.29/3.49            = ( Sup @ ( image_nat_rat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_cong
% 3.29/3.49  thf(fact_558_Sup_OSUP__cong,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,C3: nat > nat,D: nat > nat,Sup: set_nat > nat] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Sup @ ( image_nat_nat @ C3 @ A4 ) )
% 3.29/3.49            = ( Sup @ ( image_nat_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_cong
% 3.29/3.49  thf(fact_559_Sup_OSUP__cong,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,C3: nat > int,D: nat > int,Sup: set_int > int] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Sup @ ( image_nat_int @ C3 @ A4 ) )
% 3.29/3.49            = ( Sup @ ( image_nat_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_cong
% 3.29/3.49  thf(fact_560_Sup_OSUP__cong,axiom,
% 3.29/3.49      ! [A4: set_int,B5: set_int,C3: int > nat,D: int > nat,Sup: set_nat > nat] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: int] :
% 3.29/3.49              ( ( member_int @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Sup @ ( image_int_nat @ C3 @ A4 ) )
% 3.29/3.49            = ( Sup @ ( image_int_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_cong
% 3.29/3.49  thf(fact_561_Sup_OSUP__cong,axiom,
% 3.29/3.49      ! [A4: set_int,B5: set_int,C3: int > int,D: int > int,Sup: set_int > int] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: int] :
% 3.29/3.49              ( ( member_int @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Sup @ ( image_int_int @ C3 @ A4 ) )
% 3.29/3.49            = ( Sup @ ( image_int_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_cong
% 3.29/3.49  thf(fact_562_Inf_OINF__cong,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,C3: nat > rat,D: nat > rat,Inf: set_rat > rat] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Inf @ ( image_nat_rat @ C3 @ A4 ) )
% 3.29/3.49            = ( Inf @ ( image_nat_rat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_cong
% 3.29/3.49  thf(fact_563_Inf_OINF__cong,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,C3: nat > nat,D: nat > nat,Inf: set_nat > nat] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Inf @ ( image_nat_nat @ C3 @ A4 ) )
% 3.29/3.49            = ( Inf @ ( image_nat_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_cong
% 3.29/3.49  thf(fact_564_Inf_OINF__cong,axiom,
% 3.29/3.49      ! [A4: set_nat,B5: set_nat,C3: nat > int,D: nat > int,Inf: set_int > int] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: nat] :
% 3.29/3.49              ( ( member_nat @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Inf @ ( image_nat_int @ C3 @ A4 ) )
% 3.29/3.49            = ( Inf @ ( image_nat_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_cong
% 3.29/3.49  thf(fact_565_Inf_OINF__cong,axiom,
% 3.29/3.49      ! [A4: set_int,B5: set_int,C3: int > nat,D: int > nat,Inf: set_nat > nat] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: int] :
% 3.29/3.49              ( ( member_int @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Inf @ ( image_int_nat @ C3 @ A4 ) )
% 3.29/3.49            = ( Inf @ ( image_int_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_cong
% 3.29/3.49  thf(fact_566_Inf_OINF__cong,axiom,
% 3.29/3.49      ! [A4: set_int,B5: set_int,C3: int > int,D: int > int,Inf: set_int > int] :
% 3.29/3.49        ( ( A4 = B5 )
% 3.29/3.49       => ( ! [X: int] :
% 3.29/3.49              ( ( member_int @ X @ B5 )
% 3.29/3.49             => ( ( C3 @ X )
% 3.29/3.49                = ( D @ X ) ) )
% 3.29/3.49         => ( ( Inf @ ( image_int_int @ C3 @ A4 ) )
% 3.29/3.49            = ( Inf @ ( image_int_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_cong
% 3.29/3.49  thf(fact_567_comp__eq__dest__lhs,axiom,
% 3.29/3.49      ! [A: $o > $o,B: nat > $o,C: nat > $o,V: nat] :
% 3.29/3.49        ( ( ( comp_o_o_nat @ A @ B )
% 3.29/3.49          = C )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest_lhs
% 3.29/3.49  thf(fact_568_comp__eq__dest__lhs,axiom,
% 3.29/3.49      ! [A: nat > num,B: int > nat,C: int > num,V: int] :
% 3.29/3.49        ( ( ( comp_nat_num_int @ A @ B )
% 3.29/3.49          = C )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest_lhs
% 3.29/3.49  thf(fact_569_comp__eq__dest__lhs,axiom,
% 3.29/3.49      ! [A: nat > nat,B: nat > nat,C: nat > nat,V: nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ A @ B )
% 3.29/3.49          = C )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest_lhs
% 3.29/3.49  thf(fact_570_comp__eq__dest__lhs,axiom,
% 3.29/3.49      ! [A: int > nat,B: int > int,C: int > nat,V: int] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ A @ B )
% 3.29/3.49          = C )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest_lhs
% 3.29/3.49  thf(fact_571_comp__eq__dest__lhs,axiom,
% 3.29/3.49      ! [A: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,B: code_integer > code_integer > code_integer,C: code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger,V: code_integer] :
% 3.29/3.49        ( ( ( comp_C8797469213163452608nteger @ A @ B )
% 3.29/3.49          = C )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest_lhs
% 3.29/3.49  thf(fact_572_comp__eq__elim,axiom,
% 3.29/3.49      ! [A: $o > $o,B: nat > $o,C: $o > $o,D2: nat > $o] :
% 3.29/3.49        ( ( ( comp_o_o_nat @ A @ B )
% 3.29/3.49          = ( comp_o_o_nat @ C @ D2 ) )
% 3.29/3.49       => ! [V4: nat] :
% 3.29/3.49            ( ( A @ ( B @ V4 ) )
% 3.29/3.49            = ( C @ ( D2 @ V4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_elim
% 3.29/3.49  thf(fact_573_comp__eq__elim,axiom,
% 3.29/3.49      ! [A: nat > num,B: int > nat,C: nat > num,D2: int > nat] :
% 3.29/3.49        ( ( ( comp_nat_num_int @ A @ B )
% 3.29/3.49          = ( comp_nat_num_int @ C @ D2 ) )
% 3.29/3.49       => ! [V4: int] :
% 3.29/3.49            ( ( A @ ( B @ V4 ) )
% 3.29/3.49            = ( C @ ( D2 @ V4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_elim
% 3.29/3.49  thf(fact_574_comp__eq__elim,axiom,
% 3.29/3.49      ! [A: nat > nat,B: nat > nat,C: nat > nat,D2: nat > nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ A @ B )
% 3.29/3.49          = ( comp_nat_nat_nat @ C @ D2 ) )
% 3.29/3.49       => ! [V4: nat] :
% 3.29/3.49            ( ( A @ ( B @ V4 ) )
% 3.29/3.49            = ( C @ ( D2 @ V4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_elim
% 3.29/3.49  thf(fact_575_comp__eq__elim,axiom,
% 3.29/3.49      ! [A: int > nat,B: int > int,C: int > nat,D2: int > int] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ A @ B )
% 3.29/3.49          = ( comp_int_nat_int @ C @ D2 ) )
% 3.29/3.49       => ! [V4: int] :
% 3.29/3.49            ( ( A @ ( B @ V4 ) )
% 3.29/3.49            = ( C @ ( D2 @ V4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_elim
% 3.29/3.49  thf(fact_576_comp__eq__elim,axiom,
% 3.29/3.49      ! [A: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,B: code_integer > code_integer > code_integer,C: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,D2: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( ( comp_C8797469213163452608nteger @ A @ B )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ C @ D2 ) )
% 3.29/3.49       => ! [V4: code_integer] :
% 3.29/3.49            ( ( A @ ( B @ V4 ) )
% 3.29/3.49            = ( C @ ( D2 @ V4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_elim
% 3.29/3.49  thf(fact_577_comp__eq__dest,axiom,
% 3.29/3.49      ! [A: $o > $o,B: nat > $o,C: $o > $o,D2: nat > $o,V: nat] :
% 3.29/3.49        ( ( ( comp_o_o_nat @ A @ B )
% 3.29/3.49          = ( comp_o_o_nat @ C @ D2 ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ ( D2 @ V ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest
% 3.29/3.49  thf(fact_578_comp__eq__dest,axiom,
% 3.29/3.49      ! [A: nat > num,B: int > nat,C: nat > num,D2: int > nat,V: int] :
% 3.29/3.49        ( ( ( comp_nat_num_int @ A @ B )
% 3.29/3.49          = ( comp_nat_num_int @ C @ D2 ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ ( D2 @ V ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest
% 3.29/3.49  thf(fact_579_comp__eq__dest,axiom,
% 3.29/3.49      ! [A: nat > nat,B: nat > nat,C: nat > nat,D2: nat > nat,V: nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ A @ B )
% 3.29/3.49          = ( comp_nat_nat_nat @ C @ D2 ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ ( D2 @ V ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest
% 3.29/3.49  thf(fact_580_comp__eq__dest,axiom,
% 3.29/3.49      ! [A: int > nat,B: int > int,C: int > nat,D2: int > int,V: int] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ A @ B )
% 3.29/3.49          = ( comp_int_nat_int @ C @ D2 ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ ( D2 @ V ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest
% 3.29/3.49  thf(fact_581_comp__eq__dest,axiom,
% 3.29/3.49      ! [A: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,B: code_integer > code_integer > code_integer,C: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,D2: code_integer > code_integer > code_integer,V: code_integer] :
% 3.29/3.49        ( ( ( comp_C8797469213163452608nteger @ A @ B )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ C @ D2 ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ ( D2 @ V ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_dest
% 3.29/3.49  thf(fact_582_comp__assoc,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > $o,H: nat > nat] :
% 3.29/3.49        ( ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ G ) @ H )
% 3.29/3.49        = ( comp_o_o_nat @ F @ ( comp_nat_o_nat @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_583_comp__assoc,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,H: int > int] :
% 3.29/3.49        ( ( comp_int_num_int @ ( comp_nat_num_int @ F @ G ) @ H )
% 3.29/3.49        = ( comp_nat_num_int @ F @ ( comp_int_nat_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_584_comp__assoc,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,H: nat > $o] :
% 3.29/3.49        ( ( comp_o_o_nat @ ( comp_o_o_o @ F @ G ) @ H )
% 3.29/3.49        = ( comp_o_o_nat @ F @ ( comp_o_o_nat @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_585_comp__assoc,axiom,
% 3.29/3.49      ! [F: num > num,G: nat > num,H: int > nat] :
% 3.29/3.49        ( ( comp_nat_num_int @ ( comp_num_num_nat @ F @ G ) @ H )
% 3.29/3.49        = ( comp_num_num_int @ F @ ( comp_nat_num_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_586_comp__assoc,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > nat,H: int > nat] :
% 3.29/3.49        ( ( comp_nat_num_int @ ( comp_nat_num_nat @ F @ G ) @ H )
% 3.29/3.49        = ( comp_nat_num_int @ F @ ( comp_nat_nat_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_587_comp__assoc,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,H: nat > nat] :
% 3.29/3.49        ( ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ F @ G ) @ H )
% 3.29/3.49        = ( comp_nat_nat_nat @ F @ ( comp_nat_nat_nat @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_588_comp__assoc,axiom,
% 3.29/3.49      ! [F: nat > nat,G: int > nat,H: int > int] :
% 3.29/3.49        ( ( comp_int_nat_int @ ( comp_nat_nat_int @ F @ G ) @ H )
% 3.29/3.49        = ( comp_nat_nat_int @ F @ ( comp_int_nat_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_589_comp__assoc,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > int,H: int > int] :
% 3.29/3.49        ( ( comp_int_nat_int @ ( comp_int_nat_int @ F @ G ) @ H )
% 3.29/3.49        = ( comp_int_nat_int @ F @ ( comp_int_int_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_590_comp__assoc,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,H: code_integer > code_integer] :
% 3.29/3.49        ( ( comp_C1593894019821074884nteger @ ( comp_C8797469213163452608nteger @ F @ G ) @ H )
% 3.29/3.49        = ( comp_C8797469213163452608nteger @ F @ ( comp_C2931745410781319416nteger @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_591_comp__assoc,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: ( code_integer > code_integer ) > code_integer > code_integer,H: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( comp_C8797469213163452608nteger @ ( comp_C3983183376822107068nteger @ F @ G ) @ H )
% 3.29/3.49        = ( comp_C8797469213163452608nteger @ F @ ( comp_C2822359487432382964nteger @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_assoc
% 3.29/3.49  thf(fact_592_comp__def,axiom,
% 3.29/3.49      ( comp_o_o_nat
% 3.29/3.49      = ( ^ [F2: $o > $o,G3: nat > $o,X4: nat] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_def
% 3.29/3.49  thf(fact_593_comp__def,axiom,
% 3.29/3.49      ( comp_nat_num_int
% 3.29/3.49      = ( ^ [F2: nat > num,G3: int > nat,X4: int] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_def
% 3.29/3.49  thf(fact_594_comp__def,axiom,
% 3.29/3.49      ( comp_nat_nat_nat
% 3.29/3.49      = ( ^ [F2: nat > nat,G3: nat > nat,X4: nat] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_def
% 3.29/3.49  thf(fact_595_comp__def,axiom,
% 3.29/3.49      ( comp_int_nat_int
% 3.29/3.49      = ( ^ [F2: int > nat,G3: int > int,X4: int] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_def
% 3.29/3.49  thf(fact_596_comp__def,axiom,
% 3.29/3.49      ( comp_C8797469213163452608nteger
% 3.29/3.49      = ( ^ [F2: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G3: code_integer > code_integer > code_integer,X4: code_integer] : ( F2 @ ( G3 @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_def
% 3.29/3.49  thf(fact_597_apfst__convE,axiom,
% 3.29/3.49      ! [Q: produc1319942482725812455at_nat,F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat,P: produc1319942482725812455at_nat] :
% 3.29/3.49        ( ( Q
% 3.29/3.49          = ( produc6529295065807390923at_nat @ F @ P ) )
% 3.29/3.49       => ~ ! [X: set_Pr4329608150637261639at_nat,Y: set_Pr4329608150637261639at_nat] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( produc9060074326276436823at_nat @ X @ Y ) )
% 3.29/3.49             => ( Q
% 3.29/3.49               != ( produc9060074326276436823at_nat @ ( F @ X ) @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_convE
% 3.29/3.49  thf(fact_598_apfst__convE,axiom,
% 3.29/3.49      ! [Q: produc3843707927480180839at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat,P: produc3843707927480180839at_nat] :
% 3.29/3.49        ( ( Q
% 3.29/3.49          = ( produc5380969780118646373at_nat @ F @ P ) )
% 3.29/3.49       => ~ ! [X: set_Pr1261947904930325089at_nat,Y: set_Pr1261947904930325089at_nat] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( produc2922128104949294807at_nat @ X @ Y ) )
% 3.29/3.49             => ( Q
% 3.29/3.49               != ( produc2922128104949294807at_nat @ ( F @ X ) @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_convE
% 3.29/3.49  thf(fact_599_apfst__convE,axiom,
% 3.29/3.49      ! [Q: product_prod_nat_num,F: nat > nat,P: product_prod_nat_num] :
% 3.29/3.49        ( ( Q
% 3.29/3.49          = ( produc6767424583952363640at_num @ F @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: num] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_num @ X @ Y ) )
% 3.29/3.49             => ( Q
% 3.29/3.49               != ( product_Pair_nat_num @ ( F @ X ) @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_convE
% 3.29/3.49  thf(fact_600_apfst__convE,axiom,
% 3.29/3.49      ! [Q: product_prod_nat_nat,F: nat > nat,P: product_prod_nat_nat] :
% 3.29/3.49        ( ( Q
% 3.29/3.49          = ( produc986720760941809198at_nat @ F @ P ) )
% 3.29/3.49       => ~ ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.49             => ( Q
% 3.29/3.49               != ( product_Pair_nat_nat @ ( F @ X ) @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_convE
% 3.29/3.49  thf(fact_601_apfst__convE,axiom,
% 3.29/3.49      ! [Q: product_prod_int_int,F: int > int,P: product_prod_int_int] :
% 3.29/3.49        ( ( Q
% 3.29/3.49          = ( produc2355237562570658114nt_int @ F @ P ) )
% 3.29/3.49       => ~ ! [X: int,Y: int] :
% 3.29/3.49              ( ( P
% 3.29/3.49                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.49             => ( Q
% 3.29/3.49               != ( product_Pair_int_int @ ( F @ X ) @ Y ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % apfst_convE
% 3.29/3.49  thf(fact_602_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: $o > $o,G22: $o > $o,F1: nat > $o,F22: nat > $o,V: product_prod_nat_nat] :
% 3.29/3.49        ( ( produc1928436952130685430_o_o_o @ G1 @ G22 @ ( produc6957950696844810486_nat_o @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc6957950696844810486_nat_o @ ( comp_o_o_nat @ G1 @ F1 ) @ ( comp_o_o_nat @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_603_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: $o > $o,G22: nat > num,F1: nat > $o,F22: int > nat,V: product_prod_nat_int] :
% 3.29/3.49        ( ( produc3628557804203378146at_num @ G1 @ G22 @ ( produc8250590009387450446nt_nat @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc4807921795543229080nt_num @ ( comp_o_o_nat @ G1 @ F1 ) @ ( comp_nat_num_int @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_604_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: $o > $o,G22: nat > nat,F1: nat > $o,F22: nat > nat,V: product_prod_nat_nat] :
% 3.29/3.49        ( ( produc7071226018047599512at_nat @ G1 @ G22 @ ( produc7251236297486395890at_nat @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc7251236297486395890at_nat @ ( comp_o_o_nat @ G1 @ F1 ) @ ( comp_nat_nat_nat @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_605_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: $o > $o,G22: int > nat,F1: nat > $o,F22: int > int,V: product_prod_nat_int] :
% 3.29/3.49        ( ( produc8070579729948654068nt_nat @ G1 @ G22 @ ( produc8248099538878400170nt_int @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc8250590009387450446nt_nat @ ( comp_o_o_nat @ G1 @ F1 ) @ ( comp_int_nat_int @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_606_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: nat > num,G22: $o > $o,F1: int > nat,F22: nat > $o,V: product_prod_int_nat] :
% 3.29/3.49        ( ( produc3264868786340801506um_o_o @ G1 @ G22 @ ( produc8298419091753553490_nat_o @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc9074608839065728392_nat_o @ ( comp_nat_num_int @ G1 @ F1 ) @ ( comp_o_o_nat @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_607_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: nat > num,G22: nat > num,F1: int > nat,F22: int > nat,V: product_prod_int_int] :
% 3.29/3.49        ( ( produc1476026309457068494at_num @ G1 @ G22 @ ( produc5667422475138734578nt_nat @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc165562089265172102nt_num @ ( comp_nat_num_int @ G1 @ F1 ) @ ( comp_nat_num_int @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_608_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: nat > num,G22: nat > nat,F1: int > nat,F22: nat > nat,V: product_prod_int_nat] :
% 3.29/3.49        ( ( produc4918694523301289860at_nat @ G1 @ G22 @ ( produc4668068763237680022at_nat @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc2608876591208338912at_nat @ ( comp_nat_num_int @ G1 @ F1 ) @ ( comp_nat_nat_nat @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_609_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: nat > num,G22: int > nat,F1: int > nat,F22: int > int,V: product_prod_int_int] :
% 3.29/3.49        ( ( produc5918048235202344416nt_nat @ G1 @ G22 @ ( produc5664932004629684302nt_int @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc3608230303109393468nt_nat @ ( comp_nat_num_int @ G1 @ F1 ) @ ( comp_int_nat_int @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_610_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: nat > nat,G22: $o > $o,F1: nat > nat,F22: nat > $o,V: product_prod_nat_nat] :
% 3.29/3.49        ( ( produc2001155298098703512at_o_o @ G1 @ G22 @ ( produc4787215299218314158_nat_o @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc4787215299218314158_nat_o @ ( comp_nat_nat_nat @ G1 @ F1 ) @ ( comp_o_o_nat @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_611_prod_Omap__comp,axiom,
% 3.29/3.49      ! [G1: nat > nat,G22: nat > num,F1: nat > nat,F22: int > nat,V: product_prod_nat_int] :
% 3.29/3.49        ( ( produc3535218481486409604at_num @ G1 @ G22 @ ( produc7977240407231685526nt_nat @ F1 @ F22 @ V ) )
% 3.29/3.49        = ( produc4534572193387464160nt_num @ ( comp_nat_nat_nat @ G1 @ F1 ) @ ( comp_nat_num_int @ G22 @ F22 ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.map_comp
% 3.29/3.49  thf(fact_612_subrelI,axiom,
% 3.29/3.49      ! [R: set_Pr7459493094073627847at_nat,S2: set_Pr7459493094073627847at_nat] :
% 3.29/3.49        ( ! [X: set_Pr4329608150637261639at_nat,Y: set_Pr4329608150637261639at_nat] :
% 3.29/3.49            ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X @ Y ) @ R )
% 3.29/3.49           => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X @ Y ) @ S2 ) )
% 3.29/3.49       => ( ord_le5997549366648089703at_nat @ R @ S2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subrelI
% 3.29/3.49  thf(fact_613_subrelI,axiom,
% 3.29/3.49      ! [R: set_Pr4329608150637261639at_nat,S2: set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ! [X: set_Pr1261947904930325089at_nat,Y: set_Pr1261947904930325089at_nat] :
% 3.29/3.49            ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X @ Y ) @ R )
% 3.29/3.49           => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X @ Y ) @ S2 ) )
% 3.29/3.49       => ( ord_le1268244103169919719at_nat @ R @ S2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subrelI
% 3.29/3.49  thf(fact_614_subrelI,axiom,
% 3.29/3.49      ! [R: set_Pr6200539531224447659at_num,S2: set_Pr6200539531224447659at_num] :
% 3.29/3.49        ( ! [X: nat,Y: num] :
% 3.29/3.49            ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X @ Y ) @ R )
% 3.29/3.49           => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X @ Y ) @ S2 ) )
% 3.29/3.49       => ( ord_le8085105155179020875at_num @ R @ S2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subrelI
% 3.29/3.49  thf(fact_615_subrelI,axiom,
% 3.29/3.49      ! [R: set_Pr1261947904930325089at_nat,S2: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ! [X: nat,Y: nat] :
% 3.29/3.49            ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ R )
% 3.29/3.49           => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ S2 ) )
% 3.29/3.49       => ( ord_le3146513528884898305at_nat @ R @ S2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subrelI
% 3.29/3.49  thf(fact_616_subrelI,axiom,
% 3.29/3.49      ! [R: set_Pr958786334691620121nt_int,S2: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ! [X: int,Y: int] :
% 3.29/3.49            ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ Y ) @ R )
% 3.29/3.49           => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ Y ) @ S2 ) )
% 3.29/3.49       => ( ord_le2843351958646193337nt_int @ R @ S2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % subrelI
% 3.29/3.49  thf(fact_617_all__subset__image,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,P2: set_rat > $o] :
% 3.29/3.49        ( ( ! [B6: set_rat] :
% 3.29/3.49              ( ( ord_less_eq_set_rat @ B6 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.49             => ( P2 @ B6 ) ) )
% 3.29/3.49        = ( ! [B6: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.49             => ( P2 @ ( image_nat_rat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % all_subset_image
% 3.29/3.49  thf(fact_618_all__subset__image,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,P2: set_nat > $o] :
% 3.29/3.49        ( ( ! [B6: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ B6 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.49             => ( P2 @ B6 ) ) )
% 3.29/3.49        = ( ! [B6: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.49             => ( P2 @ ( image_nat_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % all_subset_image
% 3.29/3.49  thf(fact_619_all__subset__image,axiom,
% 3.29/3.49      ! [F: nat > int,A4: set_nat,P2: set_int > $o] :
% 3.29/3.49        ( ( ! [B6: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ B6 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.49             => ( P2 @ B6 ) ) )
% 3.29/3.49        = ( ! [B6: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.49             => ( P2 @ ( image_nat_int @ F @ B6 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % all_subset_image
% 3.29/3.49  thf(fact_620_all__subset__image,axiom,
% 3.29/3.49      ! [F: int > nat,A4: set_int,P2: set_nat > $o] :
% 3.29/3.49        ( ( ! [B6: set_nat] :
% 3.29/3.49              ( ( ord_less_eq_set_nat @ B6 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.49             => ( P2 @ B6 ) ) )
% 3.29/3.49        = ( ! [B6: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ B6 @ A4 )
% 3.29/3.49             => ( P2 @ ( image_int_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % all_subset_image
% 3.29/3.49  thf(fact_621_all__subset__image,axiom,
% 3.29/3.49      ! [F: int > int,A4: set_int,P2: set_int > $o] :
% 3.29/3.49        ( ( ! [B6: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ B6 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.49             => ( P2 @ B6 ) ) )
% 3.29/3.49        = ( ! [B6: set_int] :
% 3.29/3.49              ( ( ord_less_eq_set_int @ B6 @ A4 )
% 3.29/3.49             => ( P2 @ ( image_int_int @ F @ B6 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % all_subset_image
% 3.29/3.49  thf(fact_622_rel__fun__Collect__case__prodD,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: nat > nat > $o,F: product_prod_nat_nat > nat,G: int > nat,X5: set_Pr49084382684228242at_int,X2: produc4196048018000912732at_int] :
% 3.29/3.49        ( ( bNF_re4555766996558763186at_nat @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( ord_le4604737605482584818at_int @ X5 @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ A4 ) ) )
% 3.29/3.49         => ( ( member8394280151737582451at_int @ X2 @ X5 )
% 3.29/3.49           => ( B5 @ ( comp_P8635049891247748876at_int @ F @ produc4619704898428564714at_int @ X2 ) @ ( comp_i5627883460353289149at_int @ G @ produc3064508320661873192at_int @ X2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_Collect_case_prodD
% 3.29/3.49  thf(fact_623_rel__fun__Collect__case__prodD,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G: int > int > int,X5: set_Pr49084382684228242at_int,X2: produc4196048018000912732at_int] :
% 3.29/3.49        ( ( bNF_re7408651293131936558nt_int @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( ord_le4604737605482584818at_int @ X5 @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ A4 ) ) )
% 3.29/3.49         => ( ( member8394280151737582451at_int @ X2 @ X5 )
% 3.29/3.49           => ( B5 @ ( comp_P4524073163769703009at_int @ F @ produc4619704898428564714at_int @ X2 ) @ ( comp_i4519014998770822500at_int @ G @ produc3064508320661873192at_int @ X2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_Collect_case_prodD
% 3.29/3.49  thf(fact_624_rel__fun__Collect__case__prodD,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > $o,G: int > int > $o,X5: set_Pr49084382684228242at_int,X2: produc4196048018000912732at_int] :
% 3.29/3.49        ( ( bNF_re717283939379294677_int_o @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( ord_le4604737605482584818at_int @ X5 @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ A4 ) ) )
% 3.29/3.49         => ( ( member8394280151737582451at_int @ X2 @ X5 )
% 3.29/3.49           => ( B5 @ ( comp_P7900071416159368952at_int @ F @ produc4619704898428564714at_int @ X2 ) @ ( comp_i653165354545908656at_int @ G @ produc3064508320661873192at_int @ X2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_Collect_case_prodD
% 3.29/3.49  thf(fact_625_rel__fun__Collect__case__prodD,axiom,
% 3.29/3.49      ! [A4: int > code_integer > $o,B5: num > num > $o,F: int > num,G: code_integer > num,X5: set_Pr8415741480598773322nteger,X2: produc2963269191615333738nteger] :
% 3.29/3.49        ( ( bNF_re6718328864250387230um_num @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( ord_le2638047946463454698nteger @ X5 @ ( collec7215431352809750357nteger @ ( produc540600059291021473eger_o @ A4 ) ) )
% 3.29/3.49         => ( ( member4345257455949424659nteger @ X2 @ X5 )
% 3.29/3.49           => ( B5 @ ( comp_i3846818780818535807nteger @ F @ produc45500017171379470nteger @ X2 ) @ ( comp_C8580465762518603278nteger @ G @ produc2153544567185597776nteger @ X2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_Collect_case_prodD
% 3.29/3.49  thf(fact_626_rel__fun__Collect__case__prodD,axiom,
% 3.29/3.49      ! [A4: int > int > $o,B5: num > num > $o,F: int > num,G: int > num,X5: set_Pr958786334691620121nt_int,X2: product_prod_int_int] :
% 3.29/3.49        ( ( bNF_re7626690874201225453um_num @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( ord_le2843351958646193337nt_int @ X5 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ A4 ) ) )
% 3.29/3.49         => ( ( member5262025264175285858nt_int @ X2 @ X5 )
% 3.29/3.49           => ( B5 @ ( comp_i7231038107349025742nt_int @ F @ product_fst_int_int @ X2 ) @ ( comp_i7231038107349025742nt_int @ G @ product_snd_int_int @ X2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_Collect_case_prodD
% 3.29/3.49  thf(fact_627_convol__image__vimage2p,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,R3: nat > nat > $o] : ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ ( bNF_co8276296344278409722at_nat @ ( comp_n2711240574518091068at_nat @ F @ product_fst_nat_nat ) @ ( comp_n2711240574518091068at_nat @ G @ product_snd_nat_nat ) ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( bNF_vi6667456707345531737_nat_o @ F @ G @ R3 ) ) ) ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_image_vimage2p
% 3.29/3.49  thf(fact_628_convol__image__vimage2p,axiom,
% 3.29/3.49      ! [F: ref_a > nat,G: heap_e7401611519738050253t_unit > nat,R3: nat > nat > $o] : ( ord_le3146513528884898305at_nat @ ( image_4710180989675653397at_nat @ ( bNF_co5610825919353547504at_nat @ ( comp_r8155216869944865719t_unit @ F @ produc473321116828791851t_unit ) @ ( comp_h8354993580257045729t_unit @ G @ produc1126150082675451753t_unit ) ) @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ ( bNF_vi4623496019404053219_nat_o @ F @ G @ R3 ) ) ) ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_image_vimage2p
% 3.29/3.49  thf(fact_629_convol__image__vimage2p,axiom,
% 3.29/3.49      ! [F: nat > int,G: nat > int,R3: int > int > $o] : ( ord_le2843351958646193337nt_int @ ( image_1990417195239315453nt_int @ ( bNF_co49787548815638194nt_int @ ( comp_n5749082658982224864at_nat @ F @ product_fst_nat_nat ) @ ( comp_n5749082658982224864at_nat @ G @ product_snd_nat_nat ) ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( bNF_vi8357618154448083105_int_o @ F @ G @ R3 ) ) ) ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_image_vimage2p
% 3.29/3.49  thf(fact_630_convol__image__vimage2p,axiom,
% 3.29/3.49      ! [F: ref_a > int,G: heap_e7401611519738050253t_unit > int,R3: int > int > $o] : ( ord_le2843351958646193337nt_int @ ( image_1531683682067511245nt_int @ ( bNF_co6607689160745551784nt_int @ ( comp_r7249815618783853587t_unit @ F @ produc473321116828791851t_unit ) @ ( comp_h7449592329096033597t_unit @ G @ produc1126150082675451753t_unit ) ) @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ ( bNF_vi7828673959370436579_int_o @ F @ G @ R3 ) ) ) ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_image_vimage2p
% 3.29/3.49  thf(fact_631_convol__image__vimage2p,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > nat,R3: nat > nat > $o] : ( ord_le3146513528884898305at_nat @ ( image_5831868185956570253at_nat @ ( bNF_co2751916026326257842at_nat @ ( comp_i1292779930663060120nt_int @ F @ product_fst_int_int ) @ ( comp_i1292779930663060120nt_int @ G @ product_snd_int_int ) ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( bNF_vi2193923016096921761_nat_o @ F @ G @ R3 ) ) ) ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_image_vimage2p
% 3.29/3.49  thf(fact_632_convol__image__vimage2p,axiom,
% 3.29/3.49      ! [F: int > int,G: int > int,R3: int > int > $o] : ( ord_le2843351958646193337nt_int @ ( image_2653370878348428101nt_int @ ( bNF_co3748779267718262122nt_int @ ( comp_i4330622015127193916nt_int @ F @ product_fst_int_int ) @ ( comp_i4330622015127193916nt_int @ G @ product_snd_int_int ) ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( bNF_vi3884084463199473129_int_o @ F @ G @ R3 ) ) ) ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_image_vimage2p
% 3.29/3.49  thf(fact_633_prod_Osize__gen__o__map,axiom,
% 3.29/3.49      ! [F: nat > nat,Fa: nat > nat,G: nat > nat,Ga: nat > nat] :
% 3.29/3.49        ( ( comp_P1567445206330693457at_nat @ ( basic_876126793109182934at_nat @ F @ Fa ) @ ( produc6977886695330630970at_nat @ G @ Ga ) )
% 3.29/3.49        = ( basic_876126793109182934at_nat @ ( comp_nat_nat_nat @ F @ G ) @ ( comp_nat_nat_nat @ Fa @ Ga ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.size_gen_o_map
% 3.29/3.49  thf(fact_634_prod_Osize__gen__o__map,axiom,
% 3.29/3.49      ! [F: nat > nat,Fa: int > nat,G: nat > nat,Ga: int > int] :
% 3.29/3.49        ( ( comp_P397146161216181329at_int @ ( basic_873636322600132658at_int @ F @ Fa ) @ ( produc7974749936722635250nt_int @ G @ Ga ) )
% 3.29/3.49        = ( basic_873636322600132658at_int @ ( comp_nat_nat_nat @ F @ G ) @ ( comp_int_nat_int @ Fa @ Ga ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.size_gen_o_map
% 3.29/3.49  thf(fact_635_prod_Osize__gen__o__map,axiom,
% 3.29/3.49      ! [F: int > nat,Fa: nat > nat,G: int > int,Ga: nat > nat] :
% 3.29/3.49        ( ( comp_P3488689526429045841nt_nat @ ( basic_1875480505010237490nt_nat @ F @ Fa ) @ ( produc5039722323474524658at_nat @ G @ Ga ) )
% 3.29/3.49        = ( basic_1875480505010237490nt_nat @ ( comp_int_nat_int @ F @ G ) @ ( comp_nat_nat_nat @ Fa @ Ga ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.size_gen_o_map
% 3.29/3.49  thf(fact_636_prod_Osize__gen__o__map,axiom,
% 3.29/3.49      ! [F: int > nat,Fa: int > nat,G: int > int,Ga: int > int] :
% 3.29/3.49        ( ( comp_P2318390481314533713nt_int @ ( basic_1872990034501187214nt_int @ F @ Fa ) @ ( produc6036585564866528938nt_int @ G @ Ga ) )
% 3.29/3.49        = ( basic_1872990034501187214nt_int @ ( comp_int_nat_int @ F @ G ) @ ( comp_int_nat_int @ Fa @ Ga ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % prod.size_gen_o_map
% 3.29/3.49  thf(fact_637_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca968750328013420230at_nat
% 3.29/3.49      = ( ^ [R5: set_Pr1261947904930325089at_nat,As: nat > nat] :
% 3.29/3.49          ! [I2: nat,J: nat] :
% 3.29/3.49            ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_nat @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_638_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca1968104039914474786nt_nat
% 3.29/3.49      = ( ^ [R5: set_Pr958786334691620121nt_int,As: int > nat] :
% 3.29/3.49          ! [I2: int,J: int] :
% 3.29/3.49            ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_nat @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_639_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca966259857504369954at_int
% 3.29/3.49      = ( ^ [R5: set_Pr1261947904930325089at_nat,As: nat > int] :
% 3.29/3.49          ! [I2: nat,J: nat] :
% 3.29/3.49            ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_int @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_640_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca1965613569405424510nt_int
% 3.29/3.49      = ( ^ [R5: set_Pr958786334691620121nt_int,As: int > int] :
% 3.29/3.49          ! [I2: int,J: int] :
% 3.29/3.49            ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_int @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_641_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca333620267926924494at_rat
% 3.29/3.49      = ( ^ [R5: set_Pr1261947904930325089at_nat,As: nat > rat] :
% 3.29/3.49          ! [I2: nat,J: nat] :
% 3.29/3.49            ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_rat @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_642_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca1332973979827979050nt_rat
% 3.29/3.49      = ( ^ [R5: set_Pr958786334691620121nt_int,As: int > rat] :
% 3.29/3.49          ! [I2: int,J: int] :
% 3.29/3.49            ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_rat @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_643_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca30959104405961555nteger
% 3.29/3.49      = ( ^ [R5: set_Pr1261947904930325089at_nat,As: nat > code_integer] :
% 3.29/3.49          ! [I2: nat,J: nat] :
% 3.29/3.49            ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_le3102999989581377725nteger @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_644_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca402612664642806191nteger
% 3.29/3.49      = ( ^ [R5: set_Pr958786334691620121nt_int,As: int > code_integer] :
% 3.29/3.49          ! [I2: int,J: int] :
% 3.29/3.49            ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_le3102999989581377725nteger @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_645_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca4949091444211332621at_nat
% 3.29/3.49      = ( ^ [R5: set_Pr4329608150637261639at_nat,As: set_Pr1261947904930325089at_nat > nat] :
% 3.29/3.49          ! [I2: set_Pr1261947904930325089at_nat,J: set_Pr1261947904930325089at_nat] :
% 3.29/3.49            ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_nat @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_646_relChain__def,axiom,
% 3.29/3.49      ( bNF_Ca4946600973702282345at_int
% 3.29/3.49      = ( ^ [R5: set_Pr4329608150637261639at_nat,As: set_Pr1261947904930325089at_nat > int] :
% 3.29/3.49          ! [I2: set_Pr1261947904930325089at_nat,J: set_Pr1261947904930325089at_nat] :
% 3.29/3.49            ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ I2 @ J ) @ R5 )
% 3.29/3.49           => ( ord_less_eq_int @ ( As @ I2 ) @ ( As @ J ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relChain_def
% 3.29/3.49  thf(fact_647_Collect__case__prod__in__rel__leI,axiom,
% 3.29/3.49      ! [X5: set_Pr1261947904930325089at_nat,Y4: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( ord_le3146513528884898305at_nat @ X5 @ Y4 )
% 3.29/3.49       => ( ord_le3146513528884898305at_nat @ X5 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( fun_in_rel_nat_nat @ Y4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_in_rel_leI
% 3.29/3.49  thf(fact_648_Collect__case__prod__in__rel__leI,axiom,
% 3.29/3.49      ! [X5: set_Pr958786334691620121nt_int,Y4: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ( ord_le2843351958646193337nt_int @ X5 @ Y4 )
% 3.29/3.49       => ( ord_le2843351958646193337nt_int @ X5 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( fun_in_rel_int_int @ Y4 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_in_rel_leI
% 3.29/3.49  thf(fact_649_Collect__case__prod__in__rel__leE,axiom,
% 3.29/3.49      ! [X5: set_Pr1261947904930325089at_nat,Y4: set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( ord_le3146513528884898305at_nat @ X5 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( fun_in_rel_nat_nat @ Y4 ) ) ) )
% 3.29/3.49       => ( ord_le3146513528884898305at_nat @ X5 @ Y4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_in_rel_leE
% 3.29/3.49  thf(fact_650_Collect__case__prod__in__rel__leE,axiom,
% 3.29/3.49      ! [X5: set_Pr958786334691620121nt_int,Y4: set_Pr958786334691620121nt_int] :
% 3.29/3.49        ( ( ord_le2843351958646193337nt_int @ X5 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( fun_in_rel_int_int @ Y4 ) ) ) )
% 3.29/3.49       => ( ord_le2843351958646193337nt_int @ X5 @ Y4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_in_rel_leE
% 3.29/3.49  thf(fact_651_relcompp__assoc,axiom,
% 3.29/3.49      ! [R: product_prod_nat_nat > product_prod_nat_nat > $o,S2: product_prod_nat_nat > int > $o,T2: int > int > $o] :
% 3.29/3.49        ( ( relcom2949942408940504938nt_int @ ( relcom8911704206367525917at_int @ R @ S2 ) @ T2 )
% 3.29/3.49        = ( relcom8911704206367525917at_int @ R @ ( relcom2949942408940504938nt_int @ S2 @ T2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_assoc
% 3.29/3.49  thf(fact_652_relcompp__assoc,axiom,
% 3.29/3.49      ! [R: int > int > $o,S2: int > code_integer > $o,T2: code_integer > code_integer > $o] :
% 3.29/3.49        ( ( relcom8320293257703906841nteger @ ( relcom967497705283160040nteger @ R @ S2 ) @ T2 )
% 3.29/3.49        = ( relcom967497705283160040nteger @ R @ ( relcom8320293257703906841nteger @ S2 @ T2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_assoc
% 3.29/3.49  thf(fact_653_relcompp__assoc,axiom,
% 3.29/3.49      ! [R: product_prod_nat_nat > product_prod_nat_nat > $o,S2: product_prod_nat_nat > product_prod_nat_nat > $o,T2: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( ( relcom8911704206367525917at_int @ ( relcom282571730187242960at_nat @ R @ S2 ) @ T2 )
% 3.29/3.49        = ( relcom8911704206367525917at_int @ R @ ( relcom8911704206367525917at_int @ S2 @ T2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_assoc
% 3.29/3.49  thf(fact_654_relcompp__assoc,axiom,
% 3.29/3.49      ! [R: int > int > $o,S2: int > int > $o,T2: int > code_integer > $o] :
% 3.29/3.49        ( ( relcom967497705283160040nteger @ ( relcompp_int_int_int @ R @ S2 ) @ T2 )
% 3.29/3.49        = ( relcom967497705283160040nteger @ R @ ( relcom967497705283160040nteger @ S2 @ T2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_assoc
% 3.29/3.49  thf(fact_655_relcompp__apply,axiom,
% 3.29/3.49      ( relcom8911704206367525917at_int
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > product_prod_nat_nat > $o,S4: product_prod_nat_nat > int > $o,A5: product_prod_nat_nat,C4: int] :
% 3.29/3.49          ? [B4: product_prod_nat_nat] :
% 3.29/3.49            ( ( R6 @ A5 @ B4 )
% 3.29/3.49            & ( S4 @ B4 @ C4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_apply
% 3.29/3.49  thf(fact_656_relcompp__apply,axiom,
% 3.29/3.49      ( relcom967497705283160040nteger
% 3.29/3.49      = ( ^ [R6: int > int > $o,S4: int > code_integer > $o,A5: int,C4: code_integer] :
% 3.29/3.49          ? [B4: int] :
% 3.29/3.49            ( ( R6 @ A5 @ B4 )
% 3.29/3.49            & ( S4 @ B4 @ C4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_apply
% 3.29/3.49  thf(fact_657_rel__funI,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: nat > nat > $o,F: product_prod_nat_nat > nat,G: int > nat] :
% 3.29/3.49        ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49            ( ( A4 @ X @ Y )
% 3.29/3.49           => ( B5 @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49       => ( bNF_re4555766996558763186at_nat @ A4 @ B5 @ F @ G ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funI
% 3.29/3.49  thf(fact_658_rel__funI,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G: int > int > int] :
% 3.29/3.49        ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49            ( ( A4 @ X @ Y )
% 3.29/3.49           => ( B5 @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49       => ( bNF_re7408651293131936558nt_int @ A4 @ B5 @ F @ G ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funI
% 3.29/3.49  thf(fact_659_rel__funI,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > $o,G: int > int > $o] :
% 3.29/3.49        ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49            ( ( A4 @ X @ Y )
% 3.29/3.49           => ( B5 @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49       => ( bNF_re717283939379294677_int_o @ A4 @ B5 @ F @ G ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funI
% 3.29/3.49  thf(fact_660_rel__funI,axiom,
% 3.29/3.49      ! [A4: int > code_integer > $o,B5: num > num > $o,F: int > num,G: code_integer > num] :
% 3.29/3.49        ( ! [X: int,Y: code_integer] :
% 3.29/3.49            ( ( A4 @ X @ Y )
% 3.29/3.49           => ( B5 @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49       => ( bNF_re6718328864250387230um_num @ A4 @ B5 @ F @ G ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funI
% 3.29/3.49  thf(fact_661_rel__funI,axiom,
% 3.29/3.49      ! [A4: int > int > $o,B5: num > num > $o,F: int > num,G: int > num] :
% 3.29/3.49        ( ! [X: int,Y: int] :
% 3.29/3.49            ( ( A4 @ X @ Y )
% 3.29/3.49           => ( B5 @ ( F @ X ) @ ( G @ Y ) ) )
% 3.29/3.49       => ( bNF_re7626690874201225453um_num @ A4 @ B5 @ F @ G ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funI
% 3.29/3.49  thf(fact_662_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: $o > $o > $o,Sd: $o > $o > $o] :
% 3.29/3.49        ( bNF_re6580757339198446453_nat_o @ ( bNF_rel_fun_o_o_o_o @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re2697311982885662685_nat_o
% 3.29/3.49          @ ( bNF_re4705727531993890431at_o_o
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re4705727531993890431at_o_o
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_o_o_nat
% 3.29/3.49        @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_663_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: $o > nat > $o,Sd: $o > nat > $o] :
% 3.29/3.49        ( bNF_re1515921786380824775at_nat @ ( bNF_re4209105892566519389_o_nat @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re2144779315220482269at_nat
% 3.29/3.49          @ ( bNF_re7523573913982466217_o_nat
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re7523573913982466217_o_nat
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_o_o_nat
% 3.29/3.49        @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_664_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: nat > int > $o,Sd: num > nat > $o] :
% 3.29/3.49        ( bNF_re5843449549409830101nt_nat @ ( bNF_re4155804983283621959um_nat @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re3642433447925381491nt_nat
% 3.29/3.49          @ ( bNF_re3713166177374151349at_int
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re1845987051190671011um_nat
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_nat_num_int
% 3.29/3.49        @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_665_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: nat > $o > $o,Sd: nat > $o > $o] :
% 3.29/3.49        ( bNF_re3930744952143938759_nat_o @ ( bNF_re439150893885221597_nat_o @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re7744223787735169245_nat_o
% 3.29/3.49          @ ( bNF_re1402873238235875719_nat_o
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re1402873238235875719_nat_o
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_nat_nat_nat
% 3.29/3.49        @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_666_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: nat > nat > $o,Sd: nat > nat > $o] :
% 3.29/3.49        ( bNF_re3262823321055862553at_nat @ ( bNF_re5653821019739307937at_nat @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re239970166668089693at_nat
% 3.29/3.49          @ ( bNF_re5653821019739307937at_nat
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re5653821019739307937at_nat
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_nat_nat_nat
% 3.29/3.49        @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_667_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: int > nat > $o,Sd: nat > num > $o] :
% 3.29/3.49        ( bNF_re4310571189260822741nt_num @ ( bNF_re9124706910656911431at_num @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re7492190849051111027nt_num
% 3.29/3.49          @ ( bNF_re4715010359784256181nt_nat
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re272988434038980259at_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_int_nat_int
% 3.29/3.49        @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_668_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: int > int > $o,Sd: nat > nat > $o] :
% 3.29/3.49        ( bNF_re6307232852808291833nt_nat @ ( bNF_re3715656647883201625at_nat @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re2034674868506727813nt_nat
% 3.29/3.49          @ ( bNF_re4712519889275205905nt_int
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re3715656647883201625at_nat
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_int_nat_int
% 3.29/3.49        @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_669_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: nat > nat > $o,Sd: num > num > $o] :
% 3.29/3.49        ( bNF_re3846787885862361009nt_num @ ( bNF_re341483209202555957um_num @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re9099949428469764705nt_num
% 3.29/3.49          @ ( bNF_re3715656647883201625at_nat
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_nat_num_int
% 3.29/3.49        @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_670_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: num > num > $o,Sd: num > num > $o] :
% 3.29/3.49        ( bNF_re5446066262214944985nt_num @ ( bNF_re4736500879113541833um_num @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re4768042542643474933nt_num
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_num_num_int
% 3.29/3.49        @ comp_num_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_671_fun_Omap__transfer,axiom,
% 3.29/3.49      ! [Rb: int > code_integer > $o,Sd: num > num > $o] :
% 3.29/3.49        ( bNF_re7839584876883444355nt_num @ ( bNF_re6718328864250387230um_num @ Rb @ Sd )
% 3.29/3.49        @ ( bNF_re2961086658867094474nt_num
% 3.29/3.49          @ ( bNF_re982302072995117890nteger
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Rb )
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ Sd ) )
% 3.29/3.49        @ comp_int_num_int
% 3.29/3.49        @ comp_C2177396528461469320um_int ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_transfer
% 3.29/3.49  thf(fact_672_rel__fun__iff__leq__vimage2p,axiom,
% 3.29/3.49      ( bNF_re4555766996558763186at_nat
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > int > $o,S4: nat > nat > $o,F2: product_prod_nat_nat > nat,G3: int > nat] : ( ord_le129227817499904167_int_o @ R6 @ ( bNF_vi5493721401438417730_nat_o @ F2 @ G3 @ S4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_leq_vimage2p
% 3.29/3.49  thf(fact_673_rel__fun__iff__leq__vimage2p,axiom,
% 3.29/3.49      ( bNF_re7408651293131936558nt_int
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > int > $o,S4: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F2: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G3: int > int > int] : ( ord_le129227817499904167_int_o @ R6 @ ( bNF_vi8966365312794588230_int_o @ F2 @ G3 @ S4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_leq_vimage2p
% 3.29/3.49  thf(fact_674_rel__fun__iff__leq__vimage2p,axiom,
% 3.29/3.49      ( bNF_re717283939379294677_int_o
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > int > $o,S4: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F2: product_prod_nat_nat > product_prod_nat_nat > $o,G3: int > int > $o] : ( ord_le129227817499904167_int_o @ R6 @ ( bNF_vi5082502771524357669nt_o_o @ F2 @ G3 @ S4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_leq_vimage2p
% 3.29/3.49  thf(fact_675_rel__fun__iff__leq__vimage2p,axiom,
% 3.29/3.49      ( bNF_re6718328864250387230um_num
% 3.29/3.49      = ( ^ [R6: int > code_integer > $o,S4: num > num > $o,F2: int > num,G3: code_integer > num] : ( ord_le996066559646421213eger_o @ R6 @ ( bNF_vi2326032003723069084_num_o @ F2 @ G3 @ S4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_leq_vimage2p
% 3.29/3.49  thf(fact_676_rel__fun__iff__leq__vimage2p,axiom,
% 3.29/3.49      ( bNF_re7626690874201225453um_num
% 3.29/3.49      = ( ^ [R6: int > int > $o,S4: num > num > $o,F2: int > num,G3: int > num] : ( ord_le6741204236512500942_int_o @ R6 @ ( bNF_vi2107963681178519309_num_o @ F2 @ G3 @ S4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_leq_vimage2p
% 3.29/3.49  thf(fact_677_rel__fun__mono_H,axiom,
% 3.29/3.49      ! [Y4: product_prod_nat_nat > int > $o,X5: product_prod_nat_nat > int > $o,A4: nat > nat > $o,B5: nat > nat > $o,F: product_prod_nat_nat > nat,G: int > nat] :
% 3.29/3.49        ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49            ( ( Y4 @ X @ Y )
% 3.29/3.49           => ( X5 @ X @ Y ) )
% 3.29/3.49       => ( ! [X: nat,Y: nat] :
% 3.29/3.49              ( ( A4 @ X @ Y )
% 3.29/3.49             => ( B5 @ X @ Y ) )
% 3.29/3.49         => ( ( bNF_re4555766996558763186at_nat @ X5 @ A4 @ F @ G )
% 3.29/3.49           => ( bNF_re4555766996558763186at_nat @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono'
% 3.29/3.49  thf(fact_678_rel__fun__mono_H,axiom,
% 3.29/3.49      ! [Y4: product_prod_nat_nat > int > $o,X5: product_prod_nat_nat > int > $o,A4: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,B5: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G: int > int > int] :
% 3.29/3.49        ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49            ( ( Y4 @ X @ Y )
% 3.29/3.49           => ( X5 @ X @ Y ) )
% 3.29/3.49       => ( ! [X: product_prod_nat_nat > product_prod_nat_nat,Y: int > int] :
% 3.29/3.49              ( ( A4 @ X @ Y )
% 3.29/3.49             => ( B5 @ X @ Y ) )
% 3.29/3.49         => ( ( bNF_re7408651293131936558nt_int @ X5 @ A4 @ F @ G )
% 3.29/3.49           => ( bNF_re7408651293131936558nt_int @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono'
% 3.29/3.49  thf(fact_679_rel__fun__mono_H,axiom,
% 3.29/3.49      ! [Y4: product_prod_nat_nat > int > $o,X5: product_prod_nat_nat > int > $o,A4: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,B5: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > $o,G: int > int > $o] :
% 3.29/3.49        ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49            ( ( Y4 @ X @ Y )
% 3.29/3.49           => ( X5 @ X @ Y ) )
% 3.29/3.49       => ( ! [X: product_prod_nat_nat > $o,Y: int > $o] :
% 3.29/3.49              ( ( A4 @ X @ Y )
% 3.29/3.49             => ( B5 @ X @ Y ) )
% 3.29/3.49         => ( ( bNF_re717283939379294677_int_o @ X5 @ A4 @ F @ G )
% 3.29/3.49           => ( bNF_re717283939379294677_int_o @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono'
% 3.29/3.49  thf(fact_680_rel__fun__mono_H,axiom,
% 3.29/3.49      ! [Y4: int > code_integer > $o,X5: int > code_integer > $o,A4: num > num > $o,B5: num > num > $o,F: int > num,G: code_integer > num] :
% 3.29/3.49        ( ! [X: int,Y: code_integer] :
% 3.29/3.49            ( ( Y4 @ X @ Y )
% 3.29/3.49           => ( X5 @ X @ Y ) )
% 3.29/3.49       => ( ! [X: num,Y: num] :
% 3.29/3.49              ( ( A4 @ X @ Y )
% 3.29/3.49             => ( B5 @ X @ Y ) )
% 3.29/3.49         => ( ( bNF_re6718328864250387230um_num @ X5 @ A4 @ F @ G )
% 3.29/3.49           => ( bNF_re6718328864250387230um_num @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono'
% 3.29/3.49  thf(fact_681_rel__fun__mono_H,axiom,
% 3.29/3.49      ! [Y4: int > int > $o,X5: int > int > $o,A4: num > num > $o,B5: num > num > $o,F: int > num,G: int > num] :
% 3.29/3.49        ( ! [X: int,Y: int] :
% 3.29/3.49            ( ( Y4 @ X @ Y )
% 3.29/3.49           => ( X5 @ X @ Y ) )
% 3.29/3.49       => ( ! [X: num,Y: num] :
% 3.29/3.49              ( ( A4 @ X @ Y )
% 3.29/3.49             => ( B5 @ X @ Y ) )
% 3.29/3.49         => ( ( bNF_re7626690874201225453um_num @ X5 @ A4 @ F @ G )
% 3.29/3.49           => ( bNF_re7626690874201225453um_num @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono'
% 3.29/3.49  thf(fact_682_rel__fun__mono,axiom,
% 3.29/3.49      ! [X5: product_prod_nat_nat > int > $o,A4: nat > nat > $o,F: product_prod_nat_nat > nat,G: int > nat,Y4: product_prod_nat_nat > int > $o,B5: nat > nat > $o] :
% 3.29/3.49        ( ( bNF_re4555766996558763186at_nat @ X5 @ A4 @ F @ G )
% 3.29/3.49       => ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49              ( ( Y4 @ X @ Y )
% 3.29/3.49             => ( X5 @ X @ Y ) )
% 3.29/3.49         => ( ! [X: nat,Y: nat] :
% 3.29/3.49                ( ( A4 @ X @ Y )
% 3.29/3.49               => ( B5 @ X @ Y ) )
% 3.29/3.49           => ( bNF_re4555766996558763186at_nat @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono
% 3.29/3.49  thf(fact_683_rel__fun__mono,axiom,
% 3.29/3.49      ! [X5: product_prod_nat_nat > int > $o,A4: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G: int > int > int,Y4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o] :
% 3.29/3.49        ( ( bNF_re7408651293131936558nt_int @ X5 @ A4 @ F @ G )
% 3.29/3.49       => ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49              ( ( Y4 @ X @ Y )
% 3.29/3.49             => ( X5 @ X @ Y ) )
% 3.29/3.49         => ( ! [X: product_prod_nat_nat > product_prod_nat_nat,Y: int > int] :
% 3.29/3.49                ( ( A4 @ X @ Y )
% 3.29/3.49               => ( B5 @ X @ Y ) )
% 3.29/3.49           => ( bNF_re7408651293131936558nt_int @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono
% 3.29/3.49  thf(fact_684_rel__fun__mono,axiom,
% 3.29/3.49      ! [X5: product_prod_nat_nat > int > $o,A4: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > $o,G: int > int > $o,Y4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o] :
% 3.29/3.49        ( ( bNF_re717283939379294677_int_o @ X5 @ A4 @ F @ G )
% 3.29/3.49       => ( ! [X: product_prod_nat_nat,Y: int] :
% 3.29/3.49              ( ( Y4 @ X @ Y )
% 3.29/3.49             => ( X5 @ X @ Y ) )
% 3.29/3.49         => ( ! [X: product_prod_nat_nat > $o,Y: int > $o] :
% 3.29/3.49                ( ( A4 @ X @ Y )
% 3.29/3.49               => ( B5 @ X @ Y ) )
% 3.29/3.49           => ( bNF_re717283939379294677_int_o @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono
% 3.29/3.49  thf(fact_685_rel__fun__mono,axiom,
% 3.29/3.49      ! [X5: int > code_integer > $o,A4: num > num > $o,F: int > num,G: code_integer > num,Y4: int > code_integer > $o,B5: num > num > $o] :
% 3.29/3.49        ( ( bNF_re6718328864250387230um_num @ X5 @ A4 @ F @ G )
% 3.29/3.49       => ( ! [X: int,Y: code_integer] :
% 3.29/3.49              ( ( Y4 @ X @ Y )
% 3.29/3.49             => ( X5 @ X @ Y ) )
% 3.29/3.49         => ( ! [X: num,Y: num] :
% 3.29/3.49                ( ( A4 @ X @ Y )
% 3.29/3.49               => ( B5 @ X @ Y ) )
% 3.29/3.49           => ( bNF_re6718328864250387230um_num @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono
% 3.29/3.49  thf(fact_686_rel__fun__mono,axiom,
% 3.29/3.49      ! [X5: int > int > $o,A4: num > num > $o,F: int > num,G: int > num,Y4: int > int > $o,B5: num > num > $o] :
% 3.29/3.49        ( ( bNF_re7626690874201225453um_num @ X5 @ A4 @ F @ G )
% 3.29/3.49       => ( ! [X: int,Y: int] :
% 3.29/3.49              ( ( Y4 @ X @ Y )
% 3.29/3.49             => ( X5 @ X @ Y ) )
% 3.29/3.49         => ( ! [X: num,Y: num] :
% 3.29/3.49                ( ( A4 @ X @ Y )
% 3.29/3.49               => ( B5 @ X @ Y ) )
% 3.29/3.49           => ( bNF_re7626690874201225453um_num @ Y4 @ B5 @ F @ G ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_mono
% 3.29/3.49  thf(fact_687_rel__funD,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: nat > nat > $o,F: product_prod_nat_nat > nat,G: int > nat,X2: product_prod_nat_nat,Y3: int] :
% 3.29/3.49        ( ( bNF_re4555766996558763186at_nat @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( A4 @ X2 @ Y3 )
% 3.29/3.49         => ( B5 @ ( F @ X2 ) @ ( G @ Y3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funD
% 3.29/3.49  thf(fact_688_rel__funD,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G: int > int > int,X2: product_prod_nat_nat,Y3: int] :
% 3.29/3.49        ( ( bNF_re7408651293131936558nt_int @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( A4 @ X2 @ Y3 )
% 3.29/3.49         => ( B5 @ ( F @ X2 ) @ ( G @ Y3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funD
% 3.29/3.49  thf(fact_689_rel__funD,axiom,
% 3.29/3.49      ! [A4: product_prod_nat_nat > int > $o,B5: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F: product_prod_nat_nat > product_prod_nat_nat > $o,G: int > int > $o,X2: product_prod_nat_nat,Y3: int] :
% 3.29/3.49        ( ( bNF_re717283939379294677_int_o @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( A4 @ X2 @ Y3 )
% 3.29/3.49         => ( B5 @ ( F @ X2 ) @ ( G @ Y3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funD
% 3.29/3.49  thf(fact_690_rel__funD,axiom,
% 3.29/3.49      ! [A4: int > code_integer > $o,B5: num > num > $o,F: int > num,G: code_integer > num,X2: int,Y3: code_integer] :
% 3.29/3.49        ( ( bNF_re6718328864250387230um_num @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( A4 @ X2 @ Y3 )
% 3.29/3.49         => ( B5 @ ( F @ X2 ) @ ( G @ Y3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funD
% 3.29/3.49  thf(fact_691_rel__funD,axiom,
% 3.29/3.49      ! [A4: int > int > $o,B5: num > num > $o,F: int > num,G: int > num,X2: int,Y3: int] :
% 3.29/3.49        ( ( bNF_re7626690874201225453um_num @ A4 @ B5 @ F @ G )
% 3.29/3.49       => ( ( A4 @ X2 @ Y3 )
% 3.29/3.49         => ( B5 @ ( F @ X2 ) @ ( G @ Y3 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_funD
% 3.29/3.49  thf(fact_692_fun_Orel__compp,axiom,
% 3.29/3.49      ! [R3: num > num > $o,S5: num > num > $o] :
% 3.29/3.49        ( ( bNF_re7626690874201225453um_num
% 3.29/3.49          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49          @ ( relcompp_num_num_num @ R3 @ S5 ) )
% 3.29/3.49        = ( relcom9025577121137075810nt_num
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ R3 )
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49            @ S5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_compp
% 3.29/3.49  thf(fact_693_relcompp__mono,axiom,
% 3.29/3.49      ! [R2: product_prod_nat_nat > product_prod_nat_nat > $o,R: product_prod_nat_nat > product_prod_nat_nat > $o,S3: product_prod_nat_nat > int > $o,S2: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( ( ord_le5604493270027003598_nat_o @ R2 @ R )
% 3.29/3.49       => ( ( ord_le129227817499904167_int_o @ S3 @ S2 )
% 3.29/3.49         => ( ord_le129227817499904167_int_o @ ( relcom8911704206367525917at_int @ R2 @ S3 ) @ ( relcom8911704206367525917at_int @ R @ S2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_mono
% 3.29/3.49  thf(fact_694_relcompp__mono,axiom,
% 3.29/3.49      ! [R2: int > int > $o,R: int > int > $o,S3: int > code_integer > $o,S2: int > code_integer > $o] :
% 3.29/3.49        ( ( ord_le6741204236512500942_int_o @ R2 @ R )
% 3.29/3.49       => ( ( ord_le996066559646421213eger_o @ S3 @ S2 )
% 3.29/3.49         => ( ord_le996066559646421213eger_o @ ( relcom967497705283160040nteger @ R2 @ S3 ) @ ( relcom967497705283160040nteger @ R @ S2 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp_mono
% 3.29/3.49  thf(fact_695_in__rel__def,axiom,
% 3.29/3.49      ( fun_in6812141508599261570at_nat
% 3.29/3.49      = ( ^ [R6: set_Pr7459493094073627847at_nat,X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_def
% 3.29/3.49  thf(fact_696_in__rel__def,axiom,
% 3.29/3.49      ( fun_in8056734985859589634at_nat
% 3.29/3.49      = ( ^ [R6: set_Pr4329608150637261639at_nat,X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_def
% 3.29/3.49  thf(fact_697_in__rel__def,axiom,
% 3.29/3.49      ( fun_in_rel_nat_num
% 3.29/3.49      = ( ^ [R6: set_Pr6200539531224447659at_num,X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ R6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_def
% 3.29/3.49  thf(fact_698_in__rel__def,axiom,
% 3.29/3.49      ( fun_in_rel_nat_nat
% 3.29/3.49      = ( ^ [R6: set_Pr1261947904930325089at_nat,X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_def
% 3.29/3.49  thf(fact_699_in__rel__def,axiom,
% 3.29/3.49      ( fun_in_rel_int_int
% 3.29/3.49      = ( ^ [R6: set_Pr958786334691620121nt_int,X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_def
% 3.29/3.49  thf(fact_700_in__rel__Collect__case__prod__eq,axiom,
% 3.29/3.49      ! [X5: nat > nat > $o] :
% 3.29/3.49        ( ( fun_in_rel_nat_nat @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ X5 ) ) )
% 3.29/3.49        = X5 ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_Collect_case_prod_eq
% 3.29/3.49  thf(fact_701_in__rel__Collect__case__prod__eq,axiom,
% 3.29/3.49      ! [X5: int > int > $o] :
% 3.29/3.49        ( ( fun_in_rel_int_int @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ X5 ) ) )
% 3.29/3.49        = X5 ) ).
% 3.29/3.49  
% 3.29/3.49  % in_rel_Collect_case_prod_eq
% 3.29/3.49  thf(fact_702_Collect__case__prod__mono,axiom,
% 3.29/3.49      ! [A4: nat > nat > $o,B5: nat > nat > $o] :
% 3.29/3.49        ( ( ord_le2646555220125990790_nat_o @ A4 @ B5 )
% 3.29/3.49       => ( ord_le3146513528884898305at_nat @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ A4 ) ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_mono
% 3.29/3.49  thf(fact_703_Collect__case__prod__mono,axiom,
% 3.29/3.49      ! [A4: int > int > $o,B5: int > int > $o] :
% 3.29/3.49        ( ( ord_le6741204236512500942_int_o @ A4 @ B5 )
% 3.29/3.49       => ( ord_le2843351958646193337nt_int @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ A4 ) ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ B5 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Collect_case_prod_mono
% 3.29/3.49  thf(fact_704_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: num > num,F: nat > num,V: int > nat] :
% 3.29/3.49        ( ( comp_num_num_int @ G @ ( comp_nat_num_int @ F @ V ) )
% 3.29/3.49        = ( comp_nat_num_int @ ( comp_num_num_nat @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_705_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: nat > nat,F: int > nat,V: int > int] :
% 3.29/3.49        ( ( comp_nat_nat_int @ G @ ( comp_int_nat_int @ F @ V ) )
% 3.29/3.49        = ( comp_int_nat_int @ ( comp_nat_nat_int @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_706_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: $o > $o,F: nat > $o,V: nat > nat] :
% 3.29/3.49        ( ( comp_o_o_nat @ G @ ( comp_nat_o_nat @ F @ V ) )
% 3.29/3.49        = ( comp_nat_o_nat @ ( comp_o_o_nat @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_707_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: $o > $o,F: $o > $o,V: nat > $o] :
% 3.29/3.49        ( ( comp_o_o_nat @ G @ ( comp_o_o_nat @ F @ V ) )
% 3.29/3.49        = ( comp_o_o_nat @ ( comp_o_o_o @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_708_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: nat > num,F: nat > nat,V: int > nat] :
% 3.29/3.49        ( ( comp_nat_num_int @ G @ ( comp_nat_nat_int @ F @ V ) )
% 3.29/3.49        = ( comp_nat_num_int @ ( comp_nat_num_nat @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_709_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: nat > num,F: int > nat,V: int > int] :
% 3.29/3.49        ( ( comp_nat_num_int @ G @ ( comp_int_nat_int @ F @ V ) )
% 3.29/3.49        = ( comp_int_num_int @ ( comp_nat_num_int @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_710_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: nat > nat,F: nat > nat,V: nat > nat] :
% 3.29/3.49        ( ( comp_nat_nat_nat @ G @ ( comp_nat_nat_nat @ F @ V ) )
% 3.29/3.49        = ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_711_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: int > nat,F: int > int,V: int > int] :
% 3.29/3.49        ( ( comp_int_nat_int @ G @ ( comp_int_int_int @ F @ V ) )
% 3.29/3.49        = ( comp_int_nat_int @ ( comp_int_nat_int @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_712_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,F: code_integer > code_integer > code_integer,V: code_integer > code_integer] :
% 3.29/3.49        ( ( comp_C8797469213163452608nteger @ G @ ( comp_C2931745410781319416nteger @ F @ V ) )
% 3.29/3.49        = ( comp_C1593894019821074884nteger @ ( comp_C8797469213163452608nteger @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_713_fun_Omap__comp,axiom,
% 3.29/3.49      ! [G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,F: ( code_integer > code_integer ) > code_integer > code_integer,V: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( comp_C8797469213163452608nteger @ G @ ( comp_C2822359487432382964nteger @ F @ V ) )
% 3.29/3.49        = ( comp_C8797469213163452608nteger @ ( comp_C3983183376822107068nteger @ G @ F ) @ V ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_comp
% 3.29/3.49  thf(fact_714_relcompp_Ocases,axiom,
% 3.29/3.49      ! [R: product_prod_nat_nat > product_prod_nat_nat > $o,S2: product_prod_nat_nat > int > $o,A1: product_prod_nat_nat,A22: int] :
% 3.29/3.49        ( ( relcom8911704206367525917at_int @ R @ S2 @ A1 @ A22 )
% 3.29/3.49       => ~ ! [B3: product_prod_nat_nat] :
% 3.29/3.49              ( ( R @ A1 @ B3 )
% 3.29/3.49             => ~ ( S2 @ B3 @ A22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp.cases
% 3.29/3.49  thf(fact_715_relcompp_Ocases,axiom,
% 3.29/3.49      ! [R: int > int > $o,S2: int > code_integer > $o,A1: int,A22: code_integer] :
% 3.29/3.49        ( ( relcom967497705283160040nteger @ R @ S2 @ A1 @ A22 )
% 3.29/3.49       => ~ ! [B3: int] :
% 3.29/3.49              ( ( R @ A1 @ B3 )
% 3.29/3.49             => ~ ( S2 @ B3 @ A22 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp.cases
% 3.29/3.49  thf(fact_716_relcompp_Osimps,axiom,
% 3.29/3.49      ( relcom8911704206367525917at_int
% 3.29/3.49      = ( ^ [R5: product_prod_nat_nat > product_prod_nat_nat > $o,S: product_prod_nat_nat > int > $o,A12: product_prod_nat_nat,A23: int] :
% 3.29/3.49          ? [A5: product_prod_nat_nat,B4: product_prod_nat_nat,C4: int] :
% 3.29/3.49            ( ( A12 = A5 )
% 3.29/3.49            & ( A23 = C4 )
% 3.29/3.49            & ( R5 @ A5 @ B4 )
% 3.29/3.49            & ( S @ B4 @ C4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp.simps
% 3.29/3.49  thf(fact_717_relcompp_Osimps,axiom,
% 3.29/3.49      ( relcom967497705283160040nteger
% 3.29/3.49      = ( ^ [R5: int > int > $o,S: int > code_integer > $o,A12: int,A23: code_integer] :
% 3.29/3.49          ? [A5: int,B4: int,C4: code_integer] :
% 3.29/3.49            ( ( A12 = A5 )
% 3.29/3.49            & ( A23 = C4 )
% 3.29/3.49            & ( R5 @ A5 @ B4 )
% 3.29/3.49            & ( S @ B4 @ C4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcompp.simps
% 3.29/3.49  thf(fact_718_eq__OO,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( ( relcom8911704206367525917at_int
% 3.29/3.49          @ ^ [Y2: product_prod_nat_nat,Z: product_prod_nat_nat] : ( Y2 = Z )
% 3.29/3.49          @ R3 )
% 3.29/3.49        = R3 ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_OO
% 3.29/3.49  thf(fact_719_eq__OO,axiom,
% 3.29/3.49      ! [R3: int > code_integer > $o] :
% 3.29/3.49        ( ( relcom967497705283160040nteger
% 3.29/3.49          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.49          @ R3 )
% 3.29/3.49        = R3 ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_OO
% 3.29/3.49  thf(fact_720_relcomppE,axiom,
% 3.29/3.49      ! [R: product_prod_nat_nat > product_prod_nat_nat > $o,S2: product_prod_nat_nat > int > $o,A: product_prod_nat_nat,C: int] :
% 3.29/3.49        ( ( relcom8911704206367525917at_int @ R @ S2 @ A @ C )
% 3.29/3.49       => ~ ! [B3: product_prod_nat_nat] :
% 3.29/3.49              ( ( R @ A @ B3 )
% 3.29/3.49             => ~ ( S2 @ B3 @ C ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcomppE
% 3.29/3.49  thf(fact_721_relcomppE,axiom,
% 3.29/3.49      ! [R: int > int > $o,S2: int > code_integer > $o,A: int,C: code_integer] :
% 3.29/3.49        ( ( relcom967497705283160040nteger @ R @ S2 @ A @ C )
% 3.29/3.49       => ~ ! [B3: int] :
% 3.29/3.49              ( ( R @ A @ B3 )
% 3.29/3.49             => ~ ( S2 @ B3 @ C ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcomppE
% 3.29/3.49  thf(fact_722_relcomppI,axiom,
% 3.29/3.49      ! [R: product_prod_nat_nat > product_prod_nat_nat > $o,A: product_prod_nat_nat,B: product_prod_nat_nat,S2: product_prod_nat_nat > int > $o,C: int] :
% 3.29/3.49        ( ( R @ A @ B )
% 3.29/3.49       => ( ( S2 @ B @ C )
% 3.29/3.49         => ( relcom8911704206367525917at_int @ R @ S2 @ A @ C ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcomppI
% 3.29/3.49  thf(fact_723_relcomppI,axiom,
% 3.29/3.49      ! [R: int > int > $o,A: int,B: int,S2: int > code_integer > $o,C: code_integer] :
% 3.29/3.49        ( ( R @ A @ B )
% 3.29/3.49       => ( ( S2 @ B @ C )
% 3.29/3.49         => ( relcom967497705283160040nteger @ R @ S2 @ A @ C ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % relcomppI
% 3.29/3.49  thf(fact_724_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: $o > $o,H22: $o > $o,F: nat > $o,G: nat > $o] :
% 3.29/3.49        ( ( comp_P7034811116587396339_o_nat @ ( produc1928436952130685430_o_o_o @ H1 @ H22 ) @ ( bNF_convol_nat_o_o @ F @ G ) )
% 3.29/3.49        = ( bNF_convol_nat_o_o @ ( comp_o_o_nat @ H1 @ F ) @ ( comp_o_o_nat @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_725_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: $o > $o,H22: nat > nat,F: nat > $o,G: nat > nat] :
% 3.29/3.49        ( ( comp_P1391661485614827491at_nat @ ( produc7071226018047599512at_nat @ H1 @ H22 ) @ ( bNF_convol_nat_o_nat @ F @ G ) )
% 3.29/3.49        = ( bNF_convol_nat_o_nat @ ( comp_o_o_nat @ H1 @ F ) @ ( comp_nat_nat_nat @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_726_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: nat > num,H22: nat > num,F: int > nat,G: int > nat] :
% 3.29/3.49        ( ( comp_P7387482301570536291um_int @ ( produc1476026309457068494at_num @ H1 @ H22 ) @ ( bNF_co1177303703936631735at_nat @ F @ G ) )
% 3.29/3.49        = ( bNF_co5088337930254655563um_num @ ( comp_nat_num_int @ H1 @ F ) @ ( comp_nat_num_int @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_727_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: nat > num,H22: int > nat,F: int > nat,G: int > int] :
% 3.29/3.49        ( ( comp_P8376639181999047357at_int @ ( produc5918048235202344416nt_nat @ H1 @ H22 ) @ ( bNF_co1174813233427581459at_int @ F @ G ) )
% 3.29/3.49        = ( bNF_co8531006144098876929um_nat @ ( comp_nat_num_int @ H1 @ F ) @ ( comp_int_nat_int @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_728_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: nat > nat,H22: $o > $o,F: nat > nat,G: nat > $o] :
% 3.29/3.49        ( ( comp_P5799945282029801519_o_nat @ ( produc2001155298098703512at_o_o @ H1 @ H22 ) @ ( bNF_convol_nat_nat_o @ F @ G ) )
% 3.29/3.49        = ( bNF_convol_nat_nat_o @ ( comp_nat_nat_nat @ H1 @ F ) @ ( comp_o_o_nat @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_729_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: nat > nat,H22: nat > nat,F: nat > nat,G: nat > nat] :
% 3.29/3.49        ( ( comp_P7430769850142754163at_nat @ ( produc6977886695330630970at_nat @ H1 @ H22 ) @ ( bNF_co805650143699787099at_nat @ F @ G ) )
% 3.29/3.49        = ( bNF_co805650143699787099at_nat @ ( comp_nat_nat_nat @ H1 @ F ) @ ( comp_nat_nat_nat @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_730_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: int > nat,H22: nat > num,F: int > int,G: int > nat] :
% 3.29/3.49        ( ( comp_P1145193044942399421um_int @ ( produc1225400549393458656at_num @ H1 @ H22 ) @ ( bNF_co2176657415837686291nt_nat @ F @ G ) )
% 3.29/3.49        = ( bNF_co6958007526947186177at_num @ ( comp_int_nat_int @ H1 @ F ) @ ( comp_nat_num_int @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_731_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: int > nat,H22: int > nat,F: int > int,G: int > int] :
% 3.29/3.49        ( ( comp_P2134349925370910487at_int @ ( produc5667422475138734578nt_nat @ H1 @ H22 ) @ ( bNF_co2174166945328636015nt_int @ F @ G ) )
% 3.29/3.49        = ( bNF_co1177303703936631735at_nat @ ( comp_int_nat_int @ H1 @ F ) @ ( comp_int_nat_int @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_732_map__prod__o__convol,axiom,
% 3.29/3.49      ! [H1: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,H22: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,F: code_integer > code_integer > code_integer,G: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( comp_P8564252314792299288nteger @ ( produc4724772261320961782nteger @ H1 @ H22 ) @ ( bNF_co6169604788974073338nteger @ F @ G ) )
% 3.29/3.49        = ( bNF_co3156833790671340178nteger @ ( comp_C8797469213163452608nteger @ H1 @ F ) @ ( comp_C8797469213163452608nteger @ H22 @ G ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol
% 3.29/3.49  thf(fact_733_convol__o,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,H: nat > $o] :
% 3.29/3.49        ( ( comp_o7658611401268416066_o_nat @ ( bNF_convol_o_o_o @ F @ G ) @ H )
% 3.29/3.49        = ( bNF_convol_nat_o_o @ ( comp_o_o_nat @ F @ H ) @ ( comp_o_o_nat @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_o
% 3.29/3.49  thf(fact_734_convol__o,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > num,H: int > nat] :
% 3.29/3.49        ( ( comp_n8531277669757933902um_int @ ( bNF_co4716684370017810927um_num @ F @ G ) @ H )
% 3.29/3.49        = ( bNF_co5088337930254655563um_num @ ( comp_nat_num_int @ F @ H ) @ ( comp_nat_num_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_o
% 3.29/3.49  thf(fact_735_convol__o,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,H: nat > nat] :
% 3.29/3.49        ( ( comp_n8574565218330151774at_nat @ ( bNF_co805650143699787099at_nat @ F @ G ) @ H )
% 3.29/3.49        = ( bNF_co805650143699787099at_nat @ ( comp_nat_nat_nat @ F @ H ) @ ( comp_nat_nat_nat @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_o
% 3.29/3.49  thf(fact_736_convol__o,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > nat,H: int > int] :
% 3.29/3.49        ( ( comp_i1108739374719436894at_int @ ( bNF_co1177303703936631735at_nat @ F @ G ) @ H )
% 3.29/3.49        = ( bNF_co1177303703936631735at_nat @ ( comp_int_nat_int @ F @ H ) @ ( comp_int_nat_int @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_o
% 3.29/3.49  thf(fact_737_convol__o,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,H: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( comp_C6484513282182537548nteger @ ( bNF_co1764293801198077070nteger @ F @ G ) @ H )
% 3.29/3.49        = ( bNF_co3156833790671340178nteger @ ( comp_C8797469213163452608nteger @ F @ H ) @ ( comp_C8797469213163452608nteger @ G @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_o
% 3.29/3.49  thf(fact_738_vimage2p__relcompp__mono,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o,T3: product_prod_nat_nat > int > $o,F: product_prod_nat_nat > product_prod_nat_nat,G: product_prod_nat_nat > product_prod_nat_nat,H: int > int] :
% 3.29/3.49        ( ( ord_le129227817499904167_int_o @ ( relcom8911704206367525917at_int @ R3 @ S5 ) @ T3 )
% 3.29/3.49       => ( ord_le129227817499904167_int_o @ ( relcom8911704206367525917at_int @ ( bNF_vi763171854521451549_nat_o @ F @ G @ R3 ) @ ( bNF_vi5426221348228882691_int_o @ G @ H @ S5 ) ) @ ( bNF_vi5426221348228882691_int_o @ F @ H @ T3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % vimage2p_relcompp_mono
% 3.29/3.49  thf(fact_739_vimage2p__relcompp__mono,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o,T3: product_prod_nat_nat > int > $o,F: int > product_prod_nat_nat,G: int > product_prod_nat_nat,H: code_integer > int] :
% 3.29/3.49        ( ( ord_le129227817499904167_int_o @ ( relcom8911704206367525917at_int @ R3 @ S5 ) @ T3 )
% 3.29/3.49       => ( ord_le996066559646421213eger_o @ ( relcom967497705283160040nteger @ ( bNF_vi1204582724742824157_nat_o @ F @ G @ R3 ) @ ( bNF_vi2881549544236934259_int_o @ G @ H @ S5 ) ) @ ( bNF_vi2881549544236934259_int_o @ F @ H @ T3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % vimage2p_relcompp_mono
% 3.29/3.49  thf(fact_740_vimage2p__relcompp__mono,axiom,
% 3.29/3.49      ! [R3: int > int > $o,S5: int > code_integer > $o,T3: int > code_integer > $o,F: product_prod_nat_nat > int,G: product_prod_nat_nat > int,H: int > code_integer] :
% 3.29/3.49        ( ( ord_le996066559646421213eger_o @ ( relcom967497705283160040nteger @ R3 @ S5 ) @ T3 )
% 3.29/3.49       => ( ord_le129227817499904167_int_o @ ( relcom8911704206367525917at_int @ ( bNF_vi2682369418337388893_int_o @ F @ G @ R3 ) @ ( bNF_vi33923956287962137eger_o @ G @ H @ S5 ) ) @ ( bNF_vi33923956287962137eger_o @ F @ H @ T3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % vimage2p_relcompp_mono
% 3.29/3.49  thf(fact_741_vimage2p__relcompp__mono,axiom,
% 3.29/3.49      ! [R3: int > int > $o,S5: int > code_integer > $o,T3: int > code_integer > $o,F: int > int,G: int > int,H: code_integer > code_integer] :
% 3.29/3.49        ( ( ord_le996066559646421213eger_o @ ( relcom967497705283160040nteger @ R3 @ S5 ) @ T3 )
% 3.29/3.49       => ( ord_le996066559646421213eger_o @ ( relcom967497705283160040nteger @ ( bNF_vi3884084463199473129_int_o @ F @ G @ R3 ) @ ( bNF_vi699694178825965831eger_o @ G @ H @ S5 ) ) @ ( bNF_vi699694178825965831eger_o @ F @ H @ T3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % vimage2p_relcompp_mono
% 3.29/3.49  thf(fact_742_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: int > code_integer > $o,S5: num > num > $o,R7: code_integer > code_integer > $o,S6: num > num > $o] : ( ord_le6931201860925936491_num_o @ ( relcom1848932251921554756er_num @ ( bNF_re6718328864250387230um_num @ R3 @ S5 ) @ ( bNF_re40212662316476751um_num @ R7 @ S6 ) ) @ ( bNF_re6718328864250387230um_num @ ( relcom8320293257703906841nteger @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_743_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: int > code_integer > $o,S5: num > num > $o,R7: code_integer > int > $o,S6: num > num > $o] : ( ord_le4541714130423454556_num_o @ ( relcom7779292856395800339nt_num @ ( bNF_re6718328864250387230um_num @ R3 @ S5 ) @ ( bNF_re8313794964846168862um_num @ R7 @ S6 ) ) @ ( bNF_re7626690874201225453um_num @ ( relcom328798225758222312er_int @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_744_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: int > int > $o,S5: num > num > $o,R7: int > int > $o,S6: num > num > $o] : ( ord_le4541714130423454556_num_o @ ( relcom9025577121137075810nt_num @ ( bNF_re7626690874201225453um_num @ R3 @ S5 ) @ ( bNF_re7626690874201225453um_num @ R7 @ S6 ) ) @ ( bNF_re7626690874201225453um_num @ ( relcompp_int_int_int @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_745_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: int > int > $o,S5: num > num > $o,R7: int > code_integer > $o,S6: num > num > $o] : ( ord_le6931201860925936491_num_o @ ( relcom1533066287727470739er_num @ ( bNF_re7626690874201225453um_num @ R3 @ S5 ) @ ( bNF_re6718328864250387230um_num @ R7 @ S6 ) ) @ ( bNF_re6718328864250387230um_num @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_746_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: int > int > $o,S5: int > int > $o,R7: int > code_integer > $o,S6: int > code_integer > $o] : ( ord_le7522433683449569238eger_o @ ( relcom7212586982944386682nteger @ ( bNF_re4712519889275205905nt_int @ R3 @ S5 ) @ ( bNF_re3379532845092657523nteger @ R7 @ S6 ) ) @ ( bNF_re3379532845092657523nteger @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcom967497705283160040nteger @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_747_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > int > $o,S5: nat > nat > $o,R7: int > int > $o,S6: nat > nat > $o] : ( ord_le1714508135640884727_nat_o @ ( relcom4272412204205018633nt_nat @ ( bNF_re4555766996558763186at_nat @ R3 @ S5 ) @ ( bNF_re3715656647883201625at_nat @ R7 @ S6 ) ) @ ( bNF_re4555766996558763186at_nat @ ( relcom2949942408940504938nt_int @ R3 @ R7 ) @ ( relcompp_nat_nat_nat @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_748_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: nat > nat > $o,R7: product_prod_nat_nat > int > $o,S6: nat > nat > $o] : ( ord_le1714508135640884727_nat_o @ ( relcom531901107642208332nt_nat @ ( bNF_re8246922863344978751at_nat @ R3 @ S5 ) @ ( bNF_re4555766996558763186at_nat @ R7 @ S6 ) ) @ ( bNF_re4555766996558763186at_nat @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcompp_nat_nat_nat @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_749_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: int > int > $o,R7: product_prod_nat_nat > int > $o,S6: int > code_integer > $o] : ( ord_le6141271677531915726eger_o @ ( relcom4574826104943343961nteger @ ( bNF_re20414067882207223nt_int @ R3 @ S5 ) @ ( bNF_re6202762543029211035nteger @ R7 @ S6 ) ) @ ( bNF_re6202762543029211035nteger @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcom967497705283160040nteger @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_750_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: int > int > $o,S5: product_prod_nat_nat > product_prod_nat_nat > $o,R7: int > code_integer > $o,S6: product_prod_nat_nat > int > $o] : ( ord_le8615040745438789472_int_o @ ( relcom2127790875031262553er_int @ ( bNF_re8766404587435608311at_nat @ R3 @ S5 ) @ ( bNF_re2828929484557863493at_int @ R7 @ S6 ) ) @ ( bNF_re2828929484557863493at_int @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcom8911704206367525917at_int @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_751_pos__fun__distr,axiom,
% 3.29/3.49      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > product_prod_nat_nat > $o,R7: product_prod_nat_nat > int > $o,S6: product_prod_nat_nat > int > $o] : ( ord_le2484784447047653514_int_o @ ( relcom4982215633375716084nt_int @ ( bNF_re2241393799969408733at_nat @ R3 @ S5 ) @ ( bNF_re7400052026677387805at_int @ R7 @ S6 ) ) @ ( bNF_re7400052026677387805at_int @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcom8911704206367525917at_int @ S5 @ S6 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pos_fun_distr
% 3.29/3.49  thf(fact_752_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: nat > nat > $o] :
% 3.29/3.49        ( bNF_re6580757339198446453_nat_o
% 3.29/3.49        @ ^ [Y2: $o > $o,Z: $o > $o] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re2697311982885662685_nat_o
% 3.29/3.49          @ ( bNF_re4705727531993890431at_o_o @ R1
% 3.29/3.49            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re4705727531993890431at_o_o @ R1
% 3.29/3.49            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_o_o_nat
% 3.29/3.49        @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_753_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: nat > nat > $o] :
% 3.29/3.49        ( bNF_re3262823321055862553at_nat
% 3.29/3.49        @ ^ [Y2: nat > nat,Z: nat > nat] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re239970166668089693at_nat
% 3.29/3.49          @ ( bNF_re5653821019739307937at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re5653821019739307937at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_nat_nat_nat
% 3.29/3.49        @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_754_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: int > int > $o] :
% 3.29/3.49        ( bNF_re6307232852808291833nt_nat
% 3.29/3.49        @ ^ [Y2: int > nat,Z: int > nat] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re2034674868506727813nt_nat
% 3.29/3.49          @ ( bNF_re4712519889275205905nt_int @ R1
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re3715656647883201625at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_int_nat_int
% 3.29/3.49        @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_755_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: int > code_integer > $o] :
% 3.29/3.49        ( bNF_re2655444144887082515er_num
% 3.29/3.49        @ ^ [Y2: nat > num,Z: nat > num] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re5502197115626545091er_num
% 3.29/3.49          @ ( bNF_re2807294637932363402at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re6718328864250387230um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_nat_num_int
% 3.29/3.49        @ comp_n2103536230552569900nteger ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_756_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: int > int > $o] :
% 3.29/3.49        ( bNF_re3846787885862361009nt_num
% 3.29/3.49        @ ^ [Y2: nat > num,Z: nat > num] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re9099949428469764705nt_num
% 3.29/3.49          @ ( bNF_re3715656647883201625at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_nat_num_int
% 3.29/3.49        @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_757_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: int > code_integer > $o] :
% 3.29/3.49        ( bNF_re4105200416192800571er_num
% 3.29/3.49        @ ^ [Y2: num > num,Z: num > num] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re6292805115969292119er_num
% 3.29/3.49          @ ( bNF_re6718328864250387230um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re6718328864250387230um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_num_num_int
% 3.29/3.49        @ comp_n8557746072492896886nteger ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_758_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: int > int > $o] :
% 3.29/3.49        ( bNF_re5446066262214944985nt_num
% 3.29/3.49        @ ^ [Y2: num > num,Z: num > num] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re4768042542643474933nt_num
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re7626690874201225453um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_num_num_int
% 3.29/3.49        @ comp_num_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_759_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( bNF_re4099335476084980305nt_nat
% 3.29/3.49        @ ^ [Y2: int > nat,Z: int > nat] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re3284331099615978085nt_nat
% 3.29/3.49          @ ( bNF_re5552630237950767466nt_int @ R1
% 3.29/3.49            @ ^ [Y2: int,Z: int] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re4555766996558763186at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_i4471277238271202272at_nat
% 3.29/3.49        @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_760_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( bNF_re2742285375668209089nt_num
% 3.29/3.49        @ ^ [Y2: nat > num,Z: nat > num] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re2682547871993127601nt_num
% 3.29/3.49          @ ( bNF_re4555766996558763186at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re8466801222876787014um_num @ R1
% 3.29/3.49            @ ^ [Y2: num,Z: num] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_n8649498751204056690at_nat
% 3.29/3.49        @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_761_o__rsp_I2_J,axiom,
% 3.29/3.49      ! [R1: product_prod_nat_nat > int > $o] :
% 3.29/3.49        ( bNF_re1160762158786734233nt_nat
% 3.29/3.49        @ ^ [Y2: nat > nat,Z: nat > nat] : ( Y2 = Z )
% 3.29/3.49        @ ( bNF_re8419181437172746013nt_nat
% 3.29/3.49          @ ( bNF_re4555766996558763186at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.49          @ ( bNF_re4555766996558763186at_nat @ R1
% 3.29/3.49            @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) ) )
% 3.29/3.49        @ comp_n2711240574518091068at_nat
% 3.29/3.49        @ comp_nat_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(2)
% 3.29/3.49  thf(fact_762_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: $o > $o > $o,R32: $o > $o > $o,R1: nat > nat > $o] : ( bNF_re6580757339198446453_nat_o @ ( bNF_rel_fun_o_o_o_o @ R22 @ R32 ) @ ( bNF_re2697311982885662685_nat_o @ ( bNF_re4705727531993890431at_o_o @ R1 @ R22 ) @ ( bNF_re4705727531993890431at_o_o @ R1 @ R32 ) ) @ comp_o_o_nat @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_763_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: $o > nat > $o,R32: $o > num > $o,R1: nat > int > $o] : ( bNF_re7387973359137000979nt_num @ ( bNF_re766437678722298023_o_num @ R22 @ R32 ) @ ( bNF_re4102725726183926567nt_num @ ( bNF_re8210149947023016781_o_nat @ R1 @ R22 ) @ ( bNF_re4767481733178795415_o_num @ R1 @ R32 ) ) @ comp_o_o_nat @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_764_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: $o > nat > $o,R32: $o > nat > $o,R1: nat > nat > $o] : ( bNF_re1515921786380824775at_nat @ ( bNF_re4209105892566519389_o_nat @ R22 @ R32 ) @ ( bNF_re2144779315220482269at_nat @ ( bNF_re7523573913982466217_o_nat @ R1 @ R22 ) @ ( bNF_re7523573913982466217_o_nat @ R1 @ R32 ) ) @ comp_o_o_nat @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_765_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: $o > int > $o,R32: $o > nat > $o,R1: nat > int > $o] : ( bNF_re7413876800493218871nt_nat @ ( bNF_re4895681925607069953_o_nat @ R22 @ R32 ) @ ( bNF_re1982657550219213441nt_nat @ ( bNF_re8207659476513966505_o_int @ R1 @ R22 ) @ ( bNF_re8210149947023016781_o_nat @ R1 @ R32 ) ) @ comp_o_o_nat @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_766_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: nat > $o > $o,R32: num > $o > $o,R1: int > nat > $o] : ( bNF_re3931674169038344211_nat_o @ ( bNF_re8508505965575957011_num_o @ R22 @ R32 ) @ ( bNF_re7435575058205011731_nat_o @ ( bNF_re4914077030771115051_nat_o @ R1 @ R22 ) @ ( bNF_re3760060065607074657_num_o @ R1 @ R32 ) ) @ comp_nat_num_int @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_767_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: nat > nat > $o,R32: num > nat > $o,R1: int > nat > $o] : ( bNF_re6524732562925676389at_nat @ ( bNF_re3784151423046777323um_nat @ R22 @ R32 ) @ ( bNF_re717418264989850719at_nat @ ( bNF_re3344003087646356989at_nat @ R1 @ R22 ) @ ( bNF_re1474333490953826375um_nat @ R1 @ R32 ) ) @ comp_nat_num_int @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_768_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: nat > int > $o,R32: num > nat > $o,R1: int > int > $o] : ( bNF_re5843449549409830101nt_nat @ ( bNF_re4155804983283621959um_nat @ R22 @ R32 ) @ ( bNF_re3642433447925381491nt_nat @ ( bNF_re3713166177374151349at_int @ R1 @ R22 ) @ ( bNF_re1845987051190671011um_nat @ R1 @ R32 ) ) @ comp_nat_num_int @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_769_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: nat > $o > $o,R32: nat > $o > $o,R1: nat > nat > $o] : ( bNF_re3930744952143938759_nat_o @ ( bNF_re439150893885221597_nat_o @ R22 @ R32 ) @ ( bNF_re7744223787735169245_nat_o @ ( bNF_re1402873238235875719_nat_o @ R1 @ R22 ) @ ( bNF_re1402873238235875719_nat_o @ R1 @ R32 ) ) @ comp_nat_nat_nat @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_770_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: nat > nat > $o,R32: nat > num > $o,R1: nat > int > $o] : ( bNF_re584878643992547173nt_num @ ( bNF_re2211152805895086571at_num @ R22 @ R32 ) @ ( bNF_re8622501330148003679nt_num @ ( bNF_re6025474579976152573at_nat @ R1 @ R22 ) @ ( bNF_re2582806366131931207at_num @ R1 @ R32 ) ) @ comp_nat_nat_nat @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_771_o__rsp_I1_J,axiom,
% 3.29/3.49      ! [R22: nat > nat > $o,R32: nat > nat > $o,R1: nat > nat > $o] : ( bNF_re3262823321055862553at_nat @ ( bNF_re5653821019739307937at_nat @ R22 @ R32 ) @ ( bNF_re239970166668089693at_nat @ ( bNF_re5653821019739307937at_nat @ R1 @ R22 ) @ ( bNF_re5653821019739307937at_nat @ R1 @ R32 ) ) @ comp_nat_nat_nat @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % o_rsp(1)
% 3.29/3.49  thf(fact_772_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: int > int,H: nat > int,R12: nat > int,R23: nat > nat,F: int > nat,L: nat > nat] :
% 3.29/3.49        ( ( ( comp_int_int_nat @ G @ H )
% 3.29/3.49          = ( comp_nat_int_nat @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_int_nat_nat @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_int_nat_nat @ ( comp_int_nat_int @ F @ G ) @ H )
% 3.29/3.49            = ( comp_nat_nat_nat @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_773_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: nat > int,H: nat > nat,R12: int > int,R23: nat > int,F: int > nat,L: int > nat] :
% 3.29/3.49        ( ( ( comp_nat_int_nat @ G @ H )
% 3.29/3.49          = ( comp_int_int_nat @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_int_nat_int @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_nat_nat_nat @ ( comp_int_nat_nat @ F @ G ) @ H )
% 3.29/3.49            = ( comp_int_nat_nat @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_774_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: int > int,H: int > int,R12: int > int,R23: int > int,F: int > nat,L: int > nat] :
% 3.29/3.49        ( ( ( comp_int_int_int @ G @ H )
% 3.29/3.49          = ( comp_int_int_int @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_int_nat_int @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_int_nat_int @ ( comp_int_nat_int @ F @ G ) @ H )
% 3.29/3.49            = ( comp_int_nat_int @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_775_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: nat > $o,H: nat > nat,R12: $o > $o,R23: nat > $o,F: $o > $o,L: $o > $o] :
% 3.29/3.49        ( ( ( comp_nat_o_nat @ G @ H )
% 3.29/3.49          = ( comp_o_o_nat @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_o_o_o @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ G ) @ H )
% 3.29/3.49            = ( comp_o_o_nat @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_776_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: nat > $o,H: nat > nat,R12: $o > $o,R23: nat > $o,F: $o > nat,L: $o > nat] :
% 3.29/3.49        ( ( ( comp_nat_o_nat @ G @ H )
% 3.29/3.49          = ( comp_o_o_nat @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_o_nat_o @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_nat_nat_nat @ ( comp_o_nat_nat @ F @ G ) @ H )
% 3.29/3.49            = ( comp_o_nat_nat @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_777_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: int > num,H: int > int,R12: nat > num,R23: int > nat,F: num > nat,L: nat > nat] :
% 3.29/3.49        ( ( ( comp_int_num_int @ G @ H )
% 3.29/3.49          = ( comp_nat_num_int @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_num_nat_nat @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_int_nat_int @ ( comp_num_nat_int @ F @ G ) @ H )
% 3.29/3.49            = ( comp_nat_nat_int @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_778_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: int > nat,H: nat > int,R12: nat > nat,R23: nat > nat,F: nat > num,L: nat > num] :
% 3.29/3.49        ( ( ( comp_int_nat_nat @ G @ H )
% 3.29/3.49          = ( comp_nat_nat_nat @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_nat_num_nat @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_int_num_nat @ ( comp_nat_num_int @ F @ G ) @ H )
% 3.29/3.49            = ( comp_nat_num_nat @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_779_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: $o > nat,H: nat > $o,R12: nat > nat,R23: nat > nat,F: nat > $o,L: nat > $o] :
% 3.29/3.49        ( ( ( comp_o_nat_nat @ G @ H )
% 3.29/3.49          = ( comp_nat_nat_nat @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_nat_o_nat @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_o_o_nat @ ( comp_nat_o_o @ F @ G ) @ H )
% 3.29/3.49            = ( comp_nat_o_nat @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_780_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: nat > nat,H: int > nat,R12: int > nat,R23: int > int,F: nat > nat,L: int > nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_int @ G @ H )
% 3.29/3.49          = ( comp_int_nat_int @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_nat_nat_int @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_nat_nat_int @ ( comp_nat_nat_nat @ F @ G ) @ H )
% 3.29/3.49            = ( comp_int_nat_int @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_781_rewriteR__comp__comp2,axiom,
% 3.29/3.49      ! [G: nat > nat,H: int > nat,R12: int > nat,R23: int > int,F: nat > num,L: int > num] :
% 3.29/3.49        ( ( ( comp_nat_nat_int @ G @ H )
% 3.29/3.49          = ( comp_int_nat_int @ R12 @ R23 ) )
% 3.29/3.49       => ( ( ( comp_nat_num_int @ F @ R12 )
% 3.29/3.49            = L )
% 3.29/3.49         => ( ( comp_nat_num_int @ ( comp_nat_num_nat @ F @ G ) @ H )
% 3.29/3.49            = ( comp_int_num_int @ L @ R23 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp2
% 3.29/3.49  thf(fact_782_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: $o > nat,G: $o > $o,L1: nat > nat,L2: $o > nat,H: nat > $o,R: nat > nat] :
% 3.29/3.49        ( ( ( comp_o_nat_o @ F @ G )
% 3.29/3.49          = ( comp_nat_nat_o @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_o_nat_nat @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_o_nat_nat @ F @ ( comp_o_o_nat @ G @ H ) )
% 3.29/3.49            = ( comp_nat_nat_nat @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_783_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: num > num,G: nat > num,L1: nat > num,L2: nat > nat,H: int > nat,R: int > nat] :
% 3.29/3.49        ( ( ( comp_num_num_nat @ F @ G )
% 3.29/3.49          = ( comp_nat_num_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_nat_int @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_num_num_int @ F @ ( comp_nat_num_int @ G @ H ) )
% 3.29/3.49            = ( comp_nat_num_int @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_784_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: num > nat,G: nat > num,L1: int > nat,L2: nat > int,H: int > nat,R: int > int] :
% 3.29/3.49        ( ( ( comp_num_nat_nat @ F @ G )
% 3.29/3.49          = ( comp_int_nat_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_int_int @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_num_nat_int @ F @ ( comp_nat_num_int @ G @ H ) )
% 3.29/3.49            = ( comp_int_nat_int @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_785_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,L1: $o > $o,L2: $o > $o,H: nat > $o,R: nat > $o] :
% 3.29/3.49        ( ( ( comp_o_o_o @ F @ G )
% 3.29/3.49          = ( comp_o_o_o @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_o_o_nat @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_o_o_nat @ F @ ( comp_o_o_nat @ G @ H ) )
% 3.29/3.49            = ( comp_o_o_nat @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_786_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: nat > nat,G: $o > nat,L1: $o > nat,L2: $o > $o,H: nat > $o,R: nat > $o] :
% 3.29/3.49        ( ( ( comp_nat_nat_o @ F @ G )
% 3.29/3.49          = ( comp_o_nat_o @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_o_o_nat @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_nat_nat_nat @ F @ ( comp_o_nat_nat @ G @ H ) )
% 3.29/3.49            = ( comp_o_nat_nat @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_787_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > nat,L1: num > num,L2: nat > num,H: int > nat,R: int > num] :
% 3.29/3.49        ( ( ( comp_nat_num_nat @ F @ G )
% 3.29/3.49          = ( comp_num_num_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_num_int @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_nat_num_int @ F @ ( comp_nat_nat_int @ G @ H ) )
% 3.29/3.49            = ( comp_num_num_int @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_788_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: int > nat,G: nat > int,L1: num > nat,L2: nat > num,H: int > nat,R: int > num] :
% 3.29/3.49        ( ( ( comp_int_nat_nat @ F @ G )
% 3.29/3.49          = ( comp_num_nat_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_num_int @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_int_nat_int @ F @ ( comp_nat_int_int @ G @ H ) )
% 3.29/3.49            = ( comp_num_nat_int @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_789_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: num > $o,G: nat > num,L1: $o > $o,L2: nat > $o,H: int > nat,R: int > $o] :
% 3.29/3.49        ( ( ( comp_num_o_nat @ F @ G )
% 3.29/3.49          = ( comp_o_o_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_o_int @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_num_o_int @ F @ ( comp_nat_num_int @ G @ H ) )
% 3.29/3.49            = ( comp_o_o_int @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_790_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: nat > $o,G: nat > nat,L1: $o > $o,L2: nat > $o,H: nat > nat,R: nat > $o] :
% 3.29/3.49        ( ( ( comp_nat_o_nat @ F @ G )
% 3.29/3.49          = ( comp_o_o_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_o_nat @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_nat_o_nat @ F @ ( comp_nat_nat_nat @ G @ H ) )
% 3.29/3.49            = ( comp_o_o_nat @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_791_rewriteL__comp__comp2,axiom,
% 3.29/3.49      ! [F: num > nat,G: nat > num,L1: nat > nat,L2: nat > nat,H: int > nat,R: int > nat] :
% 3.29/3.49        ( ( ( comp_num_nat_nat @ F @ G )
% 3.29/3.49          = ( comp_nat_nat_nat @ L1 @ L2 ) )
% 3.29/3.49       => ( ( ( comp_nat_nat_int @ L2 @ H )
% 3.29/3.49            = R )
% 3.29/3.49         => ( ( comp_num_nat_int @ F @ ( comp_nat_num_int @ G @ H ) )
% 3.29/3.49            = ( comp_nat_nat_int @ L1 @ R ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp2
% 3.29/3.49  thf(fact_792_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: nat > $o,H: nat > nat,R: nat > $o,F: $o > $o] :
% 3.29/3.49        ( ( ( comp_nat_o_nat @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ G ) @ H )
% 3.29/3.49          = ( comp_o_o_nat @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_793_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: nat > nat,H: int > nat,R: int > nat,F: nat > num] :
% 3.29/3.49        ( ( ( comp_nat_nat_int @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_nat_num_int @ ( comp_nat_num_nat @ F @ G ) @ H )
% 3.29/3.49          = ( comp_nat_num_int @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_794_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: int > int,H: int > int,R: int > int,F: int > nat] :
% 3.29/3.49        ( ( ( comp_int_int_int @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_int_nat_int @ ( comp_int_nat_int @ F @ G ) @ H )
% 3.29/3.49          = ( comp_int_nat_int @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_795_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: $o > $o,H: nat > $o,R: nat > $o,F: $o > $o] :
% 3.29/3.49        ( ( ( comp_o_o_nat @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_o_o_nat @ ( comp_o_o_o @ F @ G ) @ H )
% 3.29/3.49          = ( comp_o_o_nat @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_796_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: nat > num,H: int > nat,R: int > num,F: num > num] :
% 3.29/3.49        ( ( ( comp_nat_num_int @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_nat_num_int @ ( comp_num_num_nat @ F @ G ) @ H )
% 3.29/3.49          = ( comp_num_num_int @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_797_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: nat > nat,H: nat > nat,R: nat > nat,F: nat > nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ F @ G ) @ H )
% 3.29/3.49          = ( comp_nat_nat_nat @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_798_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: int > nat,H: int > int,R: int > nat,F: nat > num] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_int_num_int @ ( comp_nat_num_int @ F @ G ) @ H )
% 3.29/3.49          = ( comp_nat_num_int @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_799_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: int > nat,H: int > int,R: int > nat,F: nat > nat] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_int_nat_int @ ( comp_nat_nat_int @ F @ G ) @ H )
% 3.29/3.49          = ( comp_nat_nat_int @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_800_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: code_integer > code_integer > code_integer,H: code_integer > code_integer,R: code_integer > code_integer > code_integer,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.49        ( ( ( comp_C2931745410781319416nteger @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_C1593894019821074884nteger @ ( comp_C8797469213163452608nteger @ F @ G ) @ H )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_801_rewriteR__comp__comp,axiom,
% 3.29/3.49      ! [G: ( code_integer > code_integer ) > code_integer > code_integer,H: code_integer > code_integer > code_integer,R: code_integer > code_integer > code_integer,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.49        ( ( ( comp_C2822359487432382964nteger @ G @ H )
% 3.29/3.49          = R )
% 3.29/3.49       => ( ( comp_C8797469213163452608nteger @ ( comp_C3983183376822107068nteger @ F @ G ) @ H )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ F @ R ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteR_comp_comp
% 3.29/3.49  thf(fact_802_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: num > num,G: nat > num,L: nat > num,H: int > nat] :
% 3.29/3.49        ( ( ( comp_num_num_nat @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_num_num_int @ F @ ( comp_nat_num_int @ G @ H ) )
% 3.29/3.49          = ( comp_nat_num_int @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_803_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: int > nat,L: int > nat,H: int > int] :
% 3.29/3.49        ( ( ( comp_nat_nat_int @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_nat_nat_int @ F @ ( comp_int_nat_int @ G @ H ) )
% 3.29/3.49          = ( comp_int_nat_int @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_804_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,L: $o > $o,H: nat > $o] :
% 3.29/3.49        ( ( ( comp_o_o_o @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_o_o_nat @ F @ ( comp_o_o_nat @ G @ H ) )
% 3.29/3.49          = ( comp_o_o_nat @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_805_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > nat,L: nat > num,H: int > nat] :
% 3.29/3.49        ( ( ( comp_nat_num_nat @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_nat_num_int @ F @ ( comp_nat_nat_int @ G @ H ) )
% 3.29/3.49          = ( comp_nat_num_int @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_806_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: $o > $o,G: nat > $o,L: nat > $o,H: nat > nat] :
% 3.29/3.49        ( ( ( comp_o_o_nat @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_o_o_nat @ F @ ( comp_nat_o_nat @ G @ H ) )
% 3.29/3.49          = ( comp_nat_o_nat @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_807_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: nat > num,G: int > nat,L: int > num,H: int > int] :
% 3.29/3.49        ( ( ( comp_nat_num_int @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_nat_num_int @ F @ ( comp_int_nat_int @ G @ H ) )
% 3.29/3.49          = ( comp_int_num_int @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_808_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,L: nat > nat,H: nat > nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ F @ ( comp_nat_nat_nat @ G @ H ) )
% 3.29/3.49          = ( comp_nat_nat_nat @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_809_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: int > nat,G: int > int,L: int > nat,H: int > int] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_int_nat_int @ F @ ( comp_int_int_int @ G @ H ) )
% 3.29/3.49          = ( comp_int_nat_int @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_810_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,L: code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger,H: code_integer > code_integer] :
% 3.29/3.49        ( ( ( comp_C8797469213163452608nteger @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_C8797469213163452608nteger @ F @ ( comp_C2931745410781319416nteger @ G @ H ) )
% 3.29/3.49          = ( comp_C1593894019821074884nteger @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_811_rewriteL__comp__comp,axiom,
% 3.29/3.49      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: ( code_integer > code_integer ) > code_integer > code_integer,L: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,H: code_integer > code_integer > code_integer] :
% 3.29/3.49        ( ( ( comp_C3983183376822107068nteger @ F @ G )
% 3.29/3.49          = L )
% 3.29/3.49       => ( ( comp_C8797469213163452608nteger @ F @ ( comp_C2822359487432382964nteger @ G @ H ) )
% 3.29/3.49          = ( comp_C8797469213163452608nteger @ L @ H ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rewriteL_comp_comp
% 3.29/3.49  thf(fact_812_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: nat > $o,G: nat > nat,X2: nat,N: $o > $o,H: nat > $o,F: $o > $o] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_o_o_nat @ ( comp_o_o_o @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_813_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: int > nat,G: int > int,X2: int,N: nat > nat,H: int > nat,F: nat > num] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_int_num_int @ ( comp_nat_num_int @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_nat_num_int @ ( comp_nat_num_nat @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_814_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: nat > nat,G: int > nat,X2: int,N: int > nat,H: int > int,F: nat > nat] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_nat_int @ ( comp_nat_nat_nat @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_int_nat_int @ ( comp_nat_nat_int @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_815_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: int > int,G: nat > int,X2: nat,N: nat > int,H: nat > nat,F: int > nat] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_int_nat_nat @ ( comp_int_nat_int @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_nat_nat_nat @ ( comp_int_nat_nat @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_816_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: $o > $o,G: nat > $o,X2: nat,N: nat > $o,H: nat > nat,F: $o > $o] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_o_o_nat @ ( comp_o_o_o @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_817_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: nat > nat,G: int > nat,X2: int,N: int > nat,H: int > int,F: nat > num] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_num_int @ ( comp_nat_num_nat @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_int_num_int @ ( comp_nat_num_int @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_818_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: nat > int,G: nat > nat,X2: nat,N: int > int,H: nat > int,F: int > nat] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ ( comp_int_nat_nat @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_int_nat_nat @ ( comp_int_nat_int @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_819_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: nat > nat,G: nat > nat,X2: nat,N: nat > nat,H: nat > nat,F: nat > nat] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_820_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: int > nat,G: int > int,X2: int,N: nat > nat,H: int > nat,F: nat > nat] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_int_nat_int @ ( comp_nat_nat_int @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_nat_nat_int @ ( comp_nat_nat_nat @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_821_type__copy__map__cong0,axiom,
% 3.29/3.49      ! [M: int > int,G: int > int,X2: int,N: int > int,H: int > int,F: int > nat] :
% 3.29/3.49        ( ( ( M @ ( G @ X2 ) )
% 3.29/3.49          = ( N @ ( H @ X2 ) ) )
% 3.29/3.49       => ( ( comp_int_nat_int @ ( comp_int_nat_int @ F @ M ) @ G @ X2 )
% 3.29/3.49          = ( comp_int_nat_int @ ( comp_int_nat_int @ F @ N ) @ H @ X2 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % type_copy_map_cong0
% 3.29/3.49  thf(fact_822_comp__transfer,axiom,
% 3.29/3.49      ! [B5: $o > $o > $o,C3: $o > $o > $o,A4: nat > nat > $o] : ( bNF_re6580757339198446453_nat_o @ ( bNF_rel_fun_o_o_o_o @ B5 @ C3 ) @ ( bNF_re2697311982885662685_nat_o @ ( bNF_re4705727531993890431at_o_o @ A4 @ B5 ) @ ( bNF_re4705727531993890431at_o_o @ A4 @ C3 ) ) @ comp_o_o_nat @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_823_comp__transfer,axiom,
% 3.29/3.49      ! [B5: $o > nat > $o,C3: $o > num > $o,A4: nat > int > $o] : ( bNF_re7387973359137000979nt_num @ ( bNF_re766437678722298023_o_num @ B5 @ C3 ) @ ( bNF_re4102725726183926567nt_num @ ( bNF_re8210149947023016781_o_nat @ A4 @ B5 ) @ ( bNF_re4767481733178795415_o_num @ A4 @ C3 ) ) @ comp_o_o_nat @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_824_comp__transfer,axiom,
% 3.29/3.49      ! [B5: $o > nat > $o,C3: $o > nat > $o,A4: nat > nat > $o] : ( bNF_re1515921786380824775at_nat @ ( bNF_re4209105892566519389_o_nat @ B5 @ C3 ) @ ( bNF_re2144779315220482269at_nat @ ( bNF_re7523573913982466217_o_nat @ A4 @ B5 ) @ ( bNF_re7523573913982466217_o_nat @ A4 @ C3 ) ) @ comp_o_o_nat @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_825_comp__transfer,axiom,
% 3.29/3.49      ! [B5: $o > int > $o,C3: $o > nat > $o,A4: nat > int > $o] : ( bNF_re7413876800493218871nt_nat @ ( bNF_re4895681925607069953_o_nat @ B5 @ C3 ) @ ( bNF_re1982657550219213441nt_nat @ ( bNF_re8207659476513966505_o_int @ A4 @ B5 ) @ ( bNF_re8210149947023016781_o_nat @ A4 @ C3 ) ) @ comp_o_o_nat @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_826_comp__transfer,axiom,
% 3.29/3.49      ! [B5: nat > $o > $o,C3: num > $o > $o,A4: int > nat > $o] : ( bNF_re3931674169038344211_nat_o @ ( bNF_re8508505965575957011_num_o @ B5 @ C3 ) @ ( bNF_re7435575058205011731_nat_o @ ( bNF_re4914077030771115051_nat_o @ A4 @ B5 ) @ ( bNF_re3760060065607074657_num_o @ A4 @ C3 ) ) @ comp_nat_num_int @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_827_comp__transfer,axiom,
% 3.29/3.49      ! [B5: nat > nat > $o,C3: num > nat > $o,A4: int > nat > $o] : ( bNF_re6524732562925676389at_nat @ ( bNF_re3784151423046777323um_nat @ B5 @ C3 ) @ ( bNF_re717418264989850719at_nat @ ( bNF_re3344003087646356989at_nat @ A4 @ B5 ) @ ( bNF_re1474333490953826375um_nat @ A4 @ C3 ) ) @ comp_nat_num_int @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_828_comp__transfer,axiom,
% 3.29/3.49      ! [B5: nat > int > $o,C3: num > nat > $o,A4: int > int > $o] : ( bNF_re5843449549409830101nt_nat @ ( bNF_re4155804983283621959um_nat @ B5 @ C3 ) @ ( bNF_re3642433447925381491nt_nat @ ( bNF_re3713166177374151349at_int @ A4 @ B5 ) @ ( bNF_re1845987051190671011um_nat @ A4 @ C3 ) ) @ comp_nat_num_int @ comp_int_nat_int ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_829_comp__transfer,axiom,
% 3.29/3.49      ! [B5: nat > $o > $o,C3: nat > $o > $o,A4: nat > nat > $o] : ( bNF_re3930744952143938759_nat_o @ ( bNF_re439150893885221597_nat_o @ B5 @ C3 ) @ ( bNF_re7744223787735169245_nat_o @ ( bNF_re1402873238235875719_nat_o @ A4 @ B5 ) @ ( bNF_re1402873238235875719_nat_o @ A4 @ C3 ) ) @ comp_nat_nat_nat @ comp_o_o_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_830_comp__transfer,axiom,
% 3.29/3.49      ! [B5: nat > nat > $o,C3: nat > num > $o,A4: nat > int > $o] : ( bNF_re584878643992547173nt_num @ ( bNF_re2211152805895086571at_num @ B5 @ C3 ) @ ( bNF_re8622501330148003679nt_num @ ( bNF_re6025474579976152573at_nat @ A4 @ B5 ) @ ( bNF_re2582806366131931207at_num @ A4 @ C3 ) ) @ comp_nat_nat_nat @ comp_nat_num_int ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_831_comp__transfer,axiom,
% 3.29/3.49      ! [B5: nat > nat > $o,C3: nat > nat > $o,A4: nat > nat > $o] : ( bNF_re3262823321055862553at_nat @ ( bNF_re5653821019739307937at_nat @ B5 @ C3 ) @ ( bNF_re239970166668089693at_nat @ ( bNF_re5653821019739307937at_nat @ A4 @ B5 ) @ ( bNF_re5653821019739307937at_nat @ A4 @ C3 ) ) @ comp_nat_nat_nat @ comp_nat_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_transfer
% 3.29/3.49  thf(fact_832_rel__fun__iff__geq__image2p,axiom,
% 3.29/3.49      ( bNF_re4555766996558763186at_nat
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > int > $o,S4: nat > nat > $o,F2: product_prod_nat_nat > nat,G3: int > nat] : ( ord_le2646555220125990790_nat_o @ ( bNF_Gr6955563364113978072nt_nat @ F2 @ G3 @ R6 ) @ S4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_geq_image2p
% 3.29/3.49  thf(fact_833_rel__fun__iff__geq__image2p,axiom,
% 3.29/3.49      ( bNF_re7408651293131936558nt_int
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > int > $o,S4: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o,F2: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G3: int > int > int] : ( ord_le2484784447047653514_int_o @ ( bNF_Gr1354378531936274772nt_int @ F2 @ G3 @ R6 ) @ S4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_geq_image2p
% 3.29/3.49  thf(fact_834_rel__fun__iff__geq__image2p,axiom,
% 3.29/3.49      ( bNF_re717283939379294677_int_o
% 3.29/3.49      = ( ^ [R6: product_prod_nat_nat > int > $o,S4: ( product_prod_nat_nat > $o ) > ( int > $o ) > $o,F2: product_prod_nat_nat > product_prod_nat_nat > $o,G3: int > int > $o] : ( ord_le2932013042137311317nt_o_o @ ( bNF_Gr364077372107685167_int_o @ F2 @ G3 @ R6 ) @ S4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_geq_image2p
% 3.29/3.49  thf(fact_835_rel__fun__iff__geq__image2p,axiom,
% 3.29/3.49      ( bNF_re6718328864250387230um_num
% 3.29/3.49      = ( ^ [R6: int > code_integer > $o,S4: num > num > $o,F2: int > num,G3: code_integer > num] : ( ord_le6124364862034508274_num_o @ ( bNF_Gr166583433173494904er_num @ F2 @ G3 @ R6 ) @ S4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_geq_image2p
% 3.29/3.49  thf(fact_836_rel__fun__iff__geq__image2p,axiom,
% 3.29/3.49      ( bNF_re7626690874201225453um_num
% 3.29/3.49      = ( ^ [R6: int > int > $o,S4: num > num > $o,F2: int > num,G3: int > num] : ( ord_le6124364862034508274_num_o @ ( bNF_Gr7020624548710275655nt_num @ F2 @ G3 @ R6 ) @ S4 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rel_fun_iff_geq_image2p
% 3.29/3.49  thf(fact_837_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > nat,X2: nat] :
% 3.29/3.49        ( ( comp_P5371577678113413053at_nat @ ( produc4918694523301289860at_nat @ F @ id_nat ) @ ( bNF_co805650143699787099at_nat @ id_nat @ G ) @ X2 )
% 3.29/3.49        = ( bNF_co8159352583862032293um_nat @ ( comp_num_num_nat @ id_num @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_838_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: $o > nat,G: $o > nat,X2: $o] :
% 3.29/3.49        ( ( comp_P196761593691424337_nat_o @ ( produc6587185857518356756at_nat @ F @ id_nat ) @ ( bNF_convol_o_o_nat @ id_o @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_o_nat_nat @ ( comp_nat_nat_o @ id_nat @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_839_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > nat,X2: $o] :
% 3.29/3.49        ( ( comp_P1422407636550552773_nat_o @ ( produc7071226018047599512at_nat @ F @ id_nat ) @ ( bNF_convol_o_o_nat @ id_o @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_o_o_nat @ ( comp_o_o_o @ id_o @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_840_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: $o > num,G: $o > nat,X2: $o] :
% 3.29/3.49        ( ( comp_P972951341003599239_nat_o @ ( produc4527993685489015646at_nat @ F @ id_nat ) @ ( bNF_convol_o_o_nat @ id_o @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_o_num_nat @ ( comp_num_num_o @ id_num @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_841_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: num > nat,G: num > nat,X2: num] :
% 3.29/3.49        ( ( comp_P2539519431309506803at_num @ ( produc4208724500416182148at_nat @ F @ id_nat ) @ ( bNF_co6100160411832691183um_nat @ id_num @ G ) @ X2 )
% 3.29/3.49        = ( bNF_co7969830008525221797at_nat @ ( comp_nat_nat_num @ id_nat @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_842_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: num > $o,G: num > nat,X2: num] :
% 3.29/3.49        ( ( comp_P3192427084145116251at_num @ ( produc8319293927732033832at_nat @ F @ id_nat ) @ ( bNF_co6100160411832691183um_nat @ id_num @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_num_o_nat @ ( comp_o_o_num @ id_o @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_843_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: num > num,G: num > nat,X2: num] :
% 3.29/3.49        ( ( comp_P480327259280165693at_num @ ( produc2149532328386841038at_nat @ F @ id_nat ) @ ( bNF_co6100160411832691183um_nat @ id_num @ G ) @ X2 )
% 3.29/3.49        = ( bNF_co6100160411832691183um_nat @ ( comp_num_num_num @ id_num @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_844_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: nat > num,G: nat > $o,X2: nat] :
% 3.29/3.49        ( ( comp_P6576135029341976421_o_nat @ ( produc3264868786340801506um_o_o @ F @ id_o ) @ ( bNF_convol_nat_nat_o @ id_nat @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_nat_num_o @ ( comp_num_num_nat @ id_num @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_845_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: $o > nat,G: $o > $o,X2: $o] :
% 3.29/3.49        ( ( comp_P1471321874221585045at_o_o @ ( produc9141321880750005618at_o_o @ F @ id_o ) @ ( bNF_convol_o_o_o @ id_o @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_o_nat_o @ ( comp_nat_nat_o @ id_nat @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_846_map__prod__o__convol__id,axiom,
% 3.29/3.49      ! [F: $o > $o,G: $o > $o,X2: $o] :
% 3.29/3.49        ( ( comp_P551574746845053877_o_o_o @ ( produc1928436952130685430_o_o_o @ F @ id_o ) @ ( bNF_convol_o_o_o @ id_o @ G ) @ X2 )
% 3.29/3.49        = ( bNF_convol_o_o_o @ ( comp_o_o_o @ id_o @ F ) @ G @ X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_o_convol_id
% 3.29/3.49  thf(fact_847_image__Fpow__mono,axiom,
% 3.29/3.49      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.49        ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.49       => ( ord_le513522071413781156et_rat @ ( image_4408659257933336347et_rat @ ( image_nat_rat @ F ) @ ( finite_Fpow_nat @ A4 ) ) @ ( finite_Fpow_rat @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_Fpow_mono
% 3.29/3.49  thf(fact_848_image__Fpow__mono,axiom,
% 3.29/3.49      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.49       => ( ord_le6893508408891458716et_nat @ ( image_7916887816326733075et_nat @ ( image_nat_nat @ F ) @ ( finite_Fpow_nat @ A4 ) ) @ ( finite_Fpow_nat @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_Fpow_mono
% 3.29/3.49  thf(fact_849_image__Fpow__mono,axiom,
% 3.29/3.49      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.49       => ( ord_le4403425263959731960et_int @ ( image_3739036796817536367et_int @ ( image_nat_int @ F ) @ ( finite_Fpow_nat @ A4 ) ) @ ( finite_Fpow_int @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_Fpow_mono
% 3.29/3.49  thf(fact_850_image__Fpow__mono,axiom,
% 3.29/3.49      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.49        ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.49       => ( ord_le6893508408891458716et_nat @ ( image_4702325430467532143et_nat @ ( image_int_nat @ F ) @ ( finite_Fpow_int @ A4 ) ) @ ( finite_Fpow_nat @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_Fpow_mono
% 3.29/3.49  thf(fact_851_image__Fpow__mono,axiom,
% 3.29/3.49      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.49        ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.49       => ( ord_le4403425263959731960et_int @ ( image_524474410958335435et_int @ ( image_int_int @ F ) @ ( finite_Fpow_int @ A4 ) ) @ ( finite_Fpow_int @ B5 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % image_Fpow_mono
% 3.29/3.49  thf(fact_852_convol__mem__GrpI,axiom,
% 3.29/3.49      ! [X2: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat,G: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member2643936169264416010at_nat @ X2 @ A4 )
% 3.29/3.49       => ( member8757157785044589968at_nat @ ( bNF_co147202357524637304at_nat @ id_set2334057505560298834at_nat @ G @ X2 ) @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ ( bNF_Gr6677838525845560078at_nat @ A4 @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_mem_GrpI
% 3.29/3.49  thf(fact_853_convol__mem__GrpI,axiom,
% 3.29/3.49      ! [X2: nat,A4: set_nat,G: nat > nat] :
% 3.29/3.49        ( ( member_nat @ X2 @ A4 )
% 3.29/3.49       => ( member8440522571783428010at_nat @ ( bNF_co805650143699787099at_nat @ id_nat @ G @ X2 ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( bNF_Grp_nat_nat @ A4 @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_mem_GrpI
% 3.29/3.49  thf(fact_854_convol__mem__GrpI,axiom,
% 3.29/3.49      ! [X2: int,A4: set_int,G: int > int] :
% 3.29/3.49        ( ( member_int @ X2 @ A4 )
% 3.29/3.49       => ( member5262025264175285858nt_int @ ( bNF_co2174166945328636015nt_int @ id_int @ G @ X2 ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( bNF_Grp_int_int @ A4 @ G ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % convol_mem_GrpI
% 3.29/3.49  thf(fact_855_image__id,axiom,
% 3.29/3.49      ( ( image_o_o @ id_o )
% 3.29/3.49      = id_set_o ) ).
% 3.29/3.49  
% 3.29/3.49  % image_id
% 3.29/3.49  thf(fact_856_image__id,axiom,
% 3.29/3.49      ( ( image_num_num @ id_num )
% 3.29/3.49      = id_set_num ) ).
% 3.29/3.49  
% 3.29/3.49  % image_id
% 3.29/3.49  thf(fact_857_image__id,axiom,
% 3.29/3.49      ( ( image_nat_nat @ id_nat )
% 3.29/3.49      = id_set_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % image_id
% 3.29/3.49  thf(fact_858_image__id,axiom,
% 3.29/3.49      ( ( image_int_int @ id_int )
% 3.29/3.49      = id_set_int ) ).
% 3.29/3.49  
% 3.29/3.49  % image_id
% 3.29/3.49  thf(fact_859_fun_Omap__id,axiom,
% 3.29/3.49      ! [T2: nat > $o] :
% 3.29/3.49        ( ( comp_o_o_nat @ id_o @ T2 )
% 3.29/3.49        = T2 ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_id
% 3.29/3.49  thf(fact_860_fun_Omap__id,axiom,
% 3.29/3.49      ! [T2: nat > nat] :
% 3.29/3.49        ( ( comp_nat_nat_nat @ id_nat @ T2 )
% 3.29/3.49        = T2 ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_id
% 3.29/3.49  thf(fact_861_comp__id,axiom,
% 3.29/3.49      ! [F: nat > nat] :
% 3.29/3.49        ( ( comp_nat_nat_nat @ F @ id_nat )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_id
% 3.29/3.49  thf(fact_862_comp__id,axiom,
% 3.29/3.49      ! [F: int > nat] :
% 3.29/3.49        ( ( comp_int_nat_int @ F @ id_int )
% 3.29/3.49        = F ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_id
% 3.29/3.49  thf(fact_863_id__comp,axiom,
% 3.29/3.49      ! [G: nat > $o] :
% 3.29/3.49        ( ( comp_o_o_nat @ id_o @ G )
% 3.29/3.49        = G ) ).
% 3.29/3.49  
% 3.29/3.49  % id_comp
% 3.29/3.49  thf(fact_864_id__comp,axiom,
% 3.29/3.49      ! [G: nat > nat] :
% 3.29/3.49        ( ( comp_nat_nat_nat @ id_nat @ G )
% 3.29/3.49        = G ) ).
% 3.29/3.49  
% 3.29/3.49  % id_comp
% 3.29/3.49  thf(fact_865_case__prod__Pair,axiom,
% 3.29/3.49      ( ( produc5456455677105495163at_nat @ produc9060074326276436823at_nat )
% 3.29/3.49      = id_Pro6043886709289754456at_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_Pair
% 3.29/3.49  thf(fact_866_case__prod__Pair,axiom,
% 3.29/3.49      ( ( produc7548845685434208379at_nat @ produc2922128104949294807at_nat )
% 3.29/3.49      = id_Pro8722402698821300696at_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_Pair
% 3.29/3.49  thf(fact_867_case__prod__Pair,axiom,
% 3.29/3.49      ( ( produc49306077274653107at_num @ product_Pair_nat_num )
% 3.29/3.49      = id_Pro8267972854940751164at_num ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_Pair
% 3.29/3.49  thf(fact_868_case__prod__Pair,axiom,
% 3.29/3.49      ( ( produc2626176000494625587at_nat @ product_Pair_nat_nat )
% 3.29/3.49      = id_Pro7559728917991913458at_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_Pair
% 3.29/3.49  thf(fact_869_case__prod__Pair,axiom,
% 3.29/3.49      ( ( produc4245557441103728435nt_int @ product_Pair_int_int )
% 3.29/3.49      = id_Pro4381231610383771306nt_int ) ).
% 3.29/3.49  
% 3.29/3.49  % case_prod_Pair
% 3.29/3.49  thf(fact_870_apsnd__id,axiom,
% 3.29/3.49      ( ( produc6499014454317279255nteger @ id_Code_integer )
% 3.29/3.49      = id_Pro2309048762231606924nteger ) ).
% 3.29/3.49  
% 3.29/3.49  % apsnd_id
% 3.29/3.49  thf(fact_871_range__fst,axiom,
% 3.29/3.49      ( ( image_7136766188234240905_ref_a @ produc473321116828791851t_unit @ top_to2503719809363509323t_unit )
% 3.29/3.49      = top_top_set_ref_a ) ).
% 3.29/3.49  
% 3.29/3.49  % range_fst
% 3.29/3.49  thf(fact_872_range__snd,axiom,
% 3.29/3.49      ( ( image_17660834435998945t_unit @ produc1126150082675451753t_unit @ top_to2503719809363509323t_unit )
% 3.29/3.49      = top_to3956321331435058429t_unit ) ).
% 3.29/3.49  
% 3.29/3.49  % range_snd
% 3.29/3.49  thf(fact_873_fun_Omap__id0,axiom,
% 3.29/3.49      ( ( comp_o_o_nat @ id_o )
% 3.29/3.49      = id_nat_o ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_id0
% 3.29/3.49  thf(fact_874_fun_Omap__id0,axiom,
% 3.29/3.49      ( ( comp_nat_nat_nat @ id_nat )
% 3.29/3.49      = id_nat_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.map_id0
% 3.29/3.49  thf(fact_875_surj__id,axiom,
% 3.29/3.49      ( ( image_o_o @ id_o @ top_top_set_o )
% 3.29/3.49      = top_top_set_o ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_876_surj__id,axiom,
% 3.29/3.49      ( ( image_num_num @ id_num @ top_top_set_num )
% 3.29/3.49      = top_top_set_num ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_877_surj__id,axiom,
% 3.29/3.49      ( ( image_char_char @ id_char @ top_top_set_char )
% 3.29/3.49      = top_top_set_char ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_878_surj__id,axiom,
% 3.29/3.49      ( ( image_7976474329151083847st_nat @ id_list_nat @ top_top_set_list_nat )
% 3.29/3.49      = top_top_set_list_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_879_surj__id,axiom,
% 3.29/3.49      ( ( image_rat_rat @ id_rat @ top_top_set_rat )
% 3.29/3.49      = top_top_set_rat ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_880_surj__id,axiom,
% 3.29/3.49      ( ( image_nat_nat @ id_nat @ top_top_set_nat )
% 3.29/3.49      = top_top_set_nat ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_881_surj__id,axiom,
% 3.29/3.49      ( ( image_int_int @ id_int @ top_top_set_int )
% 3.29/3.49      = top_top_set_int ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_id
% 3.29/3.49  thf(fact_882_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: $o,Y3: $o] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Grp_o_o @ top_top_set_o @ id_o @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_883_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: num,Y3: num] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Grp_num_num @ top_top_set_num @ id_num @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_884_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: char,Y3: char] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Grp_char_char @ top_top_set_char @ id_char @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_885_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: list_nat,Y3: list_nat] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Gr600725020315365264st_nat @ top_top_set_list_nat @ id_list_nat @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_886_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: rat,Y3: rat] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Grp_rat_rat @ top_top_set_rat @ id_rat @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_887_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: nat,Y3: nat] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Grp_nat_nat @ top_top_set_nat @ id_nat @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_888_Grp__UNIV__idI,axiom,
% 3.29/3.49      ! [X2: int,Y3: int] :
% 3.29/3.49        ( ( X2 = Y3 )
% 3.29/3.49       => ( bNF_Grp_int_int @ top_top_set_int @ id_int @ X2 @ Y3 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Grp_UNIV_idI
% 3.29/3.49  thf(fact_889_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Grp_o_o @ top_top_set_o @ id_o ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_890_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: num,Z: num] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Grp_num_num @ top_top_set_num @ id_num ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_891_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: char,Z: char] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Grp_char_char @ top_top_set_char @ id_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_892_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: list_nat,Z: list_nat] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Gr600725020315365264st_nat @ top_top_set_list_nat @ id_list_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_893_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: rat,Z: rat] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Grp_rat_rat @ top_top_set_rat @ id_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_894_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Grp_nat_nat @ top_top_set_nat @ id_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_895_eq__alt,axiom,
% 3.29/3.49      ( ( ^ [Y2: int,Z: int] : ( Y2 = Z ) )
% 3.29/3.49      = ( bNF_Grp_int_int @ top_top_set_int @ id_int ) ) ).
% 3.29/3.49  
% 3.29/3.49  % eq_alt
% 3.29/3.49  thf(fact_896_Inf_OINF__id__eq,axiom,
% 3.29/3.49      ! [Inf: set_o > $o,A4: set_o] :
% 3.29/3.49        ( ( Inf @ ( image_o_o @ id_o @ A4 ) )
% 3.29/3.49        = ( Inf @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_id_eq
% 3.29/3.49  thf(fact_897_Inf_OINF__id__eq,axiom,
% 3.29/3.49      ! [Inf: set_num > num,A4: set_num] :
% 3.29/3.49        ( ( Inf @ ( image_num_num @ id_num @ A4 ) )
% 3.29/3.49        = ( Inf @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_id_eq
% 3.29/3.49  thf(fact_898_Inf_OINF__id__eq,axiom,
% 3.29/3.49      ! [Inf: set_nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( Inf @ ( image_nat_nat @ id_nat @ A4 ) )
% 3.29/3.49        = ( Inf @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_id_eq
% 3.29/3.49  thf(fact_899_Inf_OINF__id__eq,axiom,
% 3.29/3.49      ! [Inf: set_int > int,A4: set_int] :
% 3.29/3.49        ( ( Inf @ ( image_int_int @ id_int @ A4 ) )
% 3.29/3.49        = ( Inf @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Inf.INF_id_eq
% 3.29/3.49  thf(fact_900_Sup_OSUP__id__eq,axiom,
% 3.29/3.49      ! [Sup: set_o > $o,A4: set_o] :
% 3.29/3.49        ( ( Sup @ ( image_o_o @ id_o @ A4 ) )
% 3.29/3.49        = ( Sup @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_id_eq
% 3.29/3.49  thf(fact_901_Sup_OSUP__id__eq,axiom,
% 3.29/3.49      ! [Sup: set_num > num,A4: set_num] :
% 3.29/3.49        ( ( Sup @ ( image_num_num @ id_num @ A4 ) )
% 3.29/3.49        = ( Sup @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_id_eq
% 3.29/3.49  thf(fact_902_Sup_OSUP__id__eq,axiom,
% 3.29/3.49      ! [Sup: set_nat > nat,A4: set_nat] :
% 3.29/3.49        ( ( Sup @ ( image_nat_nat @ id_nat @ A4 ) )
% 3.29/3.49        = ( Sup @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_id_eq
% 3.29/3.49  thf(fact_903_Sup_OSUP__id__eq,axiom,
% 3.29/3.49      ! [Sup: set_int > int,A4: set_int] :
% 3.29/3.49        ( ( Sup @ ( image_int_int @ id_int @ A4 ) )
% 3.29/3.49        = ( Sup @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % Sup.SUP_id_eq
% 3.29/3.49  thf(fact_904_comp__eq__id__dest,axiom,
% 3.29/3.49      ! [A: $o > $o,B: nat > $o,C: nat > $o,V: nat] :
% 3.29/3.49        ( ( ( comp_o_o_nat @ A @ B )
% 3.29/3.49          = ( comp_o_o_nat @ id_o @ C ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_id_dest
% 3.29/3.49  thf(fact_905_comp__eq__id__dest,axiom,
% 3.29/3.49      ! [A: nat > num,B: int > nat,C: int > num,V: int] :
% 3.29/3.49        ( ( ( comp_nat_num_int @ A @ B )
% 3.29/3.49          = ( comp_num_num_int @ id_num @ C ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_id_dest
% 3.29/3.49  thf(fact_906_comp__eq__id__dest,axiom,
% 3.29/3.49      ! [A: nat > nat,B: nat > nat,C: nat > nat,V: nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ A @ B )
% 3.29/3.49          = ( comp_nat_nat_nat @ id_nat @ C ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_id_dest
% 3.29/3.49  thf(fact_907_comp__eq__id__dest,axiom,
% 3.29/3.49      ! [A: int > nat,B: int > int,C: int > nat,V: int] :
% 3.29/3.49        ( ( ( comp_int_nat_int @ A @ B )
% 3.29/3.49          = ( comp_nat_nat_int @ id_nat @ C ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_id_dest
% 3.29/3.49  thf(fact_908_comp__eq__id__dest,axiom,
% 3.29/3.49      ! [A: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,B: code_integer > code_integer > code_integer,C: code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger,V: code_integer] :
% 3.29/3.49        ( ( ( comp_C8797469213163452608nteger @ A @ B )
% 3.29/3.49          = ( comp_P3928908779438215820nteger @ id_Pro496765588584934260nteger @ C ) )
% 3.29/3.49       => ( ( A @ ( B @ V ) )
% 3.29/3.49          = ( C @ V ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % comp_eq_id_dest
% 3.29/3.49  thf(fact_909_pointfree__idE,axiom,
% 3.29/3.49      ! [F: nat > nat,G: nat > nat,X2: nat] :
% 3.29/3.49        ( ( ( comp_nat_nat_nat @ F @ G )
% 3.29/3.49          = id_nat )
% 3.29/3.49       => ( ( F @ ( G @ X2 ) )
% 3.29/3.49          = X2 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % pointfree_idE
% 3.29/3.49  thf(fact_910_surjD,axiom,
% 3.29/3.49      ! [F: char > char,Y3: char] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ? [X: char] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_911_surjD,axiom,
% 3.29/3.49      ! [F: char > rat,Y3: rat] :
% 3.29/3.49        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49       => ? [X: char] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_912_surjD,axiom,
% 3.29/3.49      ! [F: char > nat,Y3: nat] :
% 3.29/3.49        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_nat )
% 3.29/3.49       => ? [X: char] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_913_surjD,axiom,
% 3.29/3.49      ! [F: char > int,Y3: int] :
% 3.29/3.49        ( ( ( image_char_int @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_int )
% 3.29/3.49       => ? [X: char] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_914_surjD,axiom,
% 3.29/3.49      ! [F: rat > char,Y3: char] :
% 3.29/3.49        ( ( ( image_rat_char @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ? [X: rat] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_915_surjD,axiom,
% 3.29/3.49      ! [F: rat > rat,Y3: rat] :
% 3.29/3.49        ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49       => ? [X: rat] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_916_surjD,axiom,
% 3.29/3.49      ! [F: rat > nat,Y3: nat] :
% 3.29/3.49        ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_nat )
% 3.29/3.49       => ? [X: rat] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_917_surjD,axiom,
% 3.29/3.49      ! [F: rat > int,Y3: int] :
% 3.29/3.49        ( ( ( image_rat_int @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_int )
% 3.29/3.49       => ? [X: rat] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_918_surjD,axiom,
% 3.29/3.49      ! [F: nat > char,Y3: char] :
% 3.29/3.49        ( ( ( image_nat_char @ F @ top_top_set_nat )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ? [X: nat] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_919_surjD,axiom,
% 3.29/3.49      ! [F: nat > rat,Y3: rat] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49       => ? [X: nat] :
% 3.29/3.49            ( Y3
% 3.29/3.49            = ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjD
% 3.29/3.49  thf(fact_920_surjE,axiom,
% 3.29/3.49      ! [F: char > char,Y3: char] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ~ ! [X: char] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_921_surjE,axiom,
% 3.29/3.49      ! [F: char > rat,Y3: rat] :
% 3.29/3.49        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49       => ~ ! [X: char] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_922_surjE,axiom,
% 3.29/3.49      ! [F: char > nat,Y3: nat] :
% 3.29/3.49        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_nat )
% 3.29/3.49       => ~ ! [X: char] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_923_surjE,axiom,
% 3.29/3.49      ! [F: char > int,Y3: int] :
% 3.29/3.49        ( ( ( image_char_int @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_int )
% 3.29/3.49       => ~ ! [X: char] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_924_surjE,axiom,
% 3.29/3.49      ! [F: rat > char,Y3: char] :
% 3.29/3.49        ( ( ( image_rat_char @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ~ ! [X: rat] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_925_surjE,axiom,
% 3.29/3.49      ! [F: rat > rat,Y3: rat] :
% 3.29/3.49        ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49       => ~ ! [X: rat] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_926_surjE,axiom,
% 3.29/3.49      ! [F: rat > nat,Y3: nat] :
% 3.29/3.49        ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_nat )
% 3.29/3.49       => ~ ! [X: rat] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_927_surjE,axiom,
% 3.29/3.49      ! [F: rat > int,Y3: int] :
% 3.29/3.49        ( ( ( image_rat_int @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_int )
% 3.29/3.49       => ~ ! [X: rat] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_928_surjE,axiom,
% 3.29/3.49      ! [F: nat > char,Y3: char] :
% 3.29/3.49        ( ( ( image_nat_char @ F @ top_top_set_nat )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ~ ! [X: nat] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_929_surjE,axiom,
% 3.29/3.49      ! [F: nat > rat,Y3: rat] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49       => ~ ! [X: nat] :
% 3.29/3.49              ( Y3
% 3.29/3.49             != ( F @ X ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjE
% 3.29/3.49  thf(fact_930_surjI,axiom,
% 3.29/3.49      ! [G: char > char,F: char > char] :
% 3.29/3.49        ( ! [X: char] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_char_char @ G @ top_top_set_char )
% 3.29/3.49          = top_top_set_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_931_surjI,axiom,
% 3.29/3.49      ! [G: char > rat,F: rat > char] :
% 3.29/3.49        ( ! [X: rat] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_char_rat @ G @ top_top_set_char )
% 3.29/3.49          = top_top_set_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_932_surjI,axiom,
% 3.29/3.49      ! [G: char > nat,F: nat > char] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_char_nat @ G @ top_top_set_char )
% 3.29/3.49          = top_top_set_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_933_surjI,axiom,
% 3.29/3.49      ! [G: char > int,F: int > char] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_char_int @ G @ top_top_set_char )
% 3.29/3.49          = top_top_set_int ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_934_surjI,axiom,
% 3.29/3.49      ! [G: rat > char,F: char > rat] :
% 3.29/3.49        ( ! [X: char] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_rat_char @ G @ top_top_set_rat )
% 3.29/3.49          = top_top_set_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_935_surjI,axiom,
% 3.29/3.49      ! [G: rat > rat,F: rat > rat] :
% 3.29/3.49        ( ! [X: rat] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_rat_rat @ G @ top_top_set_rat )
% 3.29/3.49          = top_top_set_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_936_surjI,axiom,
% 3.29/3.49      ! [G: rat > nat,F: nat > rat] :
% 3.29/3.49        ( ! [X: nat] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_rat_nat @ G @ top_top_set_rat )
% 3.29/3.49          = top_top_set_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_937_surjI,axiom,
% 3.29/3.49      ! [G: rat > int,F: int > rat] :
% 3.29/3.49        ( ! [X: int] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_rat_int @ G @ top_top_set_rat )
% 3.29/3.49          = top_top_set_int ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_938_surjI,axiom,
% 3.29/3.49      ! [G: nat > char,F: char > nat] :
% 3.29/3.49        ( ! [X: char] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_nat_char @ G @ top_top_set_nat )
% 3.29/3.49          = top_top_set_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_939_surjI,axiom,
% 3.29/3.49      ! [G: nat > rat,F: rat > nat] :
% 3.29/3.49        ( ! [X: rat] :
% 3.29/3.49            ( ( G @ ( F @ X ) )
% 3.29/3.49            = X )
% 3.29/3.49       => ( ( image_nat_rat @ G @ top_top_set_nat )
% 3.29/3.49          = top_top_set_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surjI
% 3.29/3.49  thf(fact_940_rangeI,axiom,
% 3.29/3.49      ! [F: char > $o,X2: char] : ( member_o @ ( F @ X2 ) @ ( image_char_o @ F @ top_top_set_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_941_rangeI,axiom,
% 3.29/3.49      ! [F: char > nat,X2: char] : ( member_nat @ ( F @ X2 ) @ ( image_char_nat @ F @ top_top_set_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_942_rangeI,axiom,
% 3.29/3.49      ! [F: char > int,X2: char] : ( member_int @ ( F @ X2 ) @ ( image_char_int @ F @ top_top_set_char ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_943_rangeI,axiom,
% 3.29/3.49      ! [F: rat > $o,X2: rat] : ( member_o @ ( F @ X2 ) @ ( image_rat_o @ F @ top_top_set_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_944_rangeI,axiom,
% 3.29/3.49      ! [F: rat > nat,X2: rat] : ( member_nat @ ( F @ X2 ) @ ( image_rat_nat @ F @ top_top_set_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_945_rangeI,axiom,
% 3.29/3.49      ! [F: rat > int,X2: rat] : ( member_int @ ( F @ X2 ) @ ( image_rat_int @ F @ top_top_set_rat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_946_rangeI,axiom,
% 3.29/3.49      ! [F: nat > rat,X2: nat] : ( member_rat @ ( F @ X2 ) @ ( image_nat_rat @ F @ top_top_set_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_947_rangeI,axiom,
% 3.29/3.49      ! [F: nat > $o,X2: nat] : ( member_o @ ( F @ X2 ) @ ( image_nat_o @ F @ top_top_set_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_948_rangeI,axiom,
% 3.29/3.49      ! [F: nat > nat,X2: nat] : ( member_nat @ ( F @ X2 ) @ ( image_nat_nat @ F @ top_top_set_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_949_rangeI,axiom,
% 3.29/3.49      ! [F: nat > int,X2: nat] : ( member_int @ ( F @ X2 ) @ ( image_nat_int @ F @ top_top_set_nat ) ) ).
% 3.29/3.49  
% 3.29/3.49  % rangeI
% 3.29/3.49  thf(fact_950_surj__def,axiom,
% 3.29/3.49      ! [F: char > char] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49        = ( ! [Y5: char] :
% 3.29/3.49            ? [X4: char] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_951_surj__def,axiom,
% 3.29/3.49      ! [F: char > rat] :
% 3.29/3.49        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49        = ( ! [Y5: rat] :
% 3.29/3.49            ? [X4: char] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_952_surj__def,axiom,
% 3.29/3.49      ! [F: char > nat] :
% 3.29/3.49        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_nat )
% 3.29/3.49        = ( ! [Y5: nat] :
% 3.29/3.49            ? [X4: char] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_953_surj__def,axiom,
% 3.29/3.49      ! [F: char > int] :
% 3.29/3.49        ( ( ( image_char_int @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_int )
% 3.29/3.49        = ( ! [Y5: int] :
% 3.29/3.49            ? [X4: char] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_954_surj__def,axiom,
% 3.29/3.49      ! [F: rat > char] :
% 3.29/3.49        ( ( ( image_rat_char @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49        = ( ! [Y5: char] :
% 3.29/3.49            ? [X4: rat] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_955_surj__def,axiom,
% 3.29/3.49      ! [F: rat > rat] :
% 3.29/3.49        ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49        = ( ! [Y5: rat] :
% 3.29/3.49            ? [X4: rat] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_956_surj__def,axiom,
% 3.29/3.49      ! [F: rat > nat] :
% 3.29/3.49        ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_nat )
% 3.29/3.49        = ( ! [Y5: nat] :
% 3.29/3.49            ? [X4: rat] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_957_surj__def,axiom,
% 3.29/3.49      ! [F: rat > int] :
% 3.29/3.49        ( ( ( image_rat_int @ F @ top_top_set_rat )
% 3.29/3.49          = top_top_set_int )
% 3.29/3.49        = ( ! [Y5: int] :
% 3.29/3.49            ? [X4: rat] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_958_surj__def,axiom,
% 3.29/3.49      ! [F: nat > char] :
% 3.29/3.49        ( ( ( image_nat_char @ F @ top_top_set_nat )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49        = ( ! [Y5: char] :
% 3.29/3.49            ? [X4: nat] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_959_surj__def,axiom,
% 3.29/3.49      ! [F: nat > rat] :
% 3.29/3.49        ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.49          = top_top_set_rat )
% 3.29/3.49        = ( ! [Y5: rat] :
% 3.29/3.49            ? [X4: nat] :
% 3.29/3.49              ( Y5
% 3.29/3.49              = ( F @ X4 ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % surj_def
% 3.29/3.49  thf(fact_960_range__eqI,axiom,
% 3.29/3.49      ! [B: $o,F: char > $o,X2: char] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_o @ B @ ( image_char_o @ F @ top_top_set_char ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_961_range__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: char > nat,X2: char] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_nat @ B @ ( image_char_nat @ F @ top_top_set_char ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_962_range__eqI,axiom,
% 3.29/3.49      ! [B: int,F: char > int,X2: char] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_int @ B @ ( image_char_int @ F @ top_top_set_char ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_963_range__eqI,axiom,
% 3.29/3.49      ! [B: $o,F: rat > $o,X2: rat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_o @ B @ ( image_rat_o @ F @ top_top_set_rat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_964_range__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: rat > nat,X2: rat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_nat @ B @ ( image_rat_nat @ F @ top_top_set_rat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_965_range__eqI,axiom,
% 3.29/3.49      ! [B: int,F: rat > int,X2: rat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_int @ B @ ( image_rat_int @ F @ top_top_set_rat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_966_range__eqI,axiom,
% 3.29/3.49      ! [B: rat,F: nat > rat,X2: nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_rat @ B @ ( image_nat_rat @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_967_range__eqI,axiom,
% 3.29/3.49      ! [B: $o,F: nat > $o,X2: nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_o @ B @ ( image_nat_o @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_968_range__eqI,axiom,
% 3.29/3.49      ! [B: nat,F: nat > nat,X2: nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_nat @ B @ ( image_nat_nat @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_969_range__eqI,axiom,
% 3.29/3.49      ! [B: int,F: nat > int,X2: nat] :
% 3.29/3.49        ( ( B
% 3.29/3.49          = ( F @ X2 ) )
% 3.29/3.49       => ( member_int @ B @ ( image_nat_int @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % range_eqI
% 3.29/3.49  thf(fact_970_effect__success,axiom,
% 3.29/3.49      ! [C: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit,H2: heap_e7401611519738050253t_unit,R: ref_a] :
% 3.29/3.49        ( ( heap_effect_ref_a @ C @ H @ H2 @ R )
% 3.29/3.49       => ( heap_success_ref_a @ C @ H ) ) ).
% 3.29/3.49  
% 3.29/3.49  % effect_success
% 3.29/3.49  thf(fact_971_success__effectE,axiom,
% 3.29/3.49      ! [C: heap_Heap_ref_a,H: heap_e7401611519738050253t_unit] :
% 3.29/3.49        ( ( heap_success_ref_a @ C @ H )
% 3.29/3.49       => ~ ! [R4: ref_a,H4: heap_e7401611519738050253t_unit] :
% 3.29/3.49              ~ ( heap_effect_ref_a @ C @ H @ H4 @ R4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % success_effectE
% 3.29/3.49  thf(fact_972_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: char > char] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_char_char @ G @ top_top_set_char )
% 3.29/3.49            = top_top_set_char )
% 3.29/3.49         => ( ( image_7676512070627423941r_char @ ( produc7830753070125841726r_char @ F @ G ) @ top_to1235241553633177651r_char )
% 3.29/3.49            = top_to1235241553633177651r_char ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_973_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: char > rat] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_char_rat @ G @ top_top_set_char )
% 3.29/3.49            = top_top_set_rat )
% 3.29/3.49         => ( ( image_7275072250160737868ar_rat @ ( produc5209943433214700613ar_rat @ F @ G ) @ top_to1235241553633177651r_char )
% 3.29/3.49            = top_to8437673547576850234ar_rat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_974_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: char > nat] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_char_nat @ G @ top_top_set_char )
% 3.29/3.49            = top_top_set_nat )
% 3.29/3.49         => ( ( image_1559928771699358788ar_nat @ ( produc5845073493301196349ar_nat @ F @ G ) @ top_to1235241553633177651r_char )
% 3.29/3.49            = top_to5594287848199751986ar_nat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_975_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: char > int] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_char_int @ G @ top_top_set_char )
% 3.29/3.49            = top_top_set_int )
% 3.29/3.49         => ( ( image_6605449789044937888ar_int @ ( produc5842583022792146073ar_int @ F @ G ) @ top_to1235241553633177651r_char )
% 3.29/3.49            = top_to3104204703268025230ar_int ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_976_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: rat > char] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_rat_char @ G @ top_top_set_rat )
% 3.29/3.49            = top_top_set_char )
% 3.29/3.49         => ( ( image_8036680598759533694r_char @ ( produc5432746246116964165t_char @ F @ G ) @ top_to8437673547576850234ar_rat )
% 3.29/3.49            = top_to1235241553633177651r_char ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_977_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: rat > rat] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_rat_rat @ G @ top_top_set_rat )
% 3.29/3.49            = top_top_set_rat )
% 3.29/3.49         => ( ( image_5644637116751559941ar_rat @ ( produc1230515432254573900at_rat @ F @ G ) @ top_to8437673547576850234ar_rat )
% 3.29/3.49            = top_to8437673547576850234ar_rat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_978_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: rat > nat] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_rat_nat @ G @ top_top_set_rat )
% 3.29/3.49            = top_top_set_nat )
% 3.29/3.49         => ( ( image_9152865675144956669ar_nat @ ( produc1865645492341069636at_nat @ F @ G ) @ top_to8437673547576850234ar_rat )
% 3.29/3.49            = top_to5594287848199751986ar_nat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_979_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: rat > int] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_rat_int @ G @ top_top_set_rat )
% 3.29/3.49            = top_top_set_int )
% 3.29/3.49         => ( ( image_4975014655635759961ar_int @ ( produc1863155021832019360at_int @ F @ G ) @ top_to8437673547576850234ar_rat )
% 3.29/3.49            = top_to3104204703268025230ar_int ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_980_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: nat > char] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_nat_char @ G @ top_top_set_nat )
% 3.29/3.49            = top_top_set_char )
% 3.29/3.49         => ( ( image_5973708714899544198r_char @ ( produc8759894717825771837t_char @ F @ G ) @ top_to5594287848199751986ar_nat )
% 3.29/3.49            = top_to1235241553633177651r_char ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_981_map__prod__surj,axiom,
% 3.29/3.49      ! [F: char > char,G: nat > rat] :
% 3.29/3.49        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.49          = top_top_set_char )
% 3.29/3.49       => ( ( ( image_nat_rat @ G @ top_top_set_nat )
% 3.29/3.49            = top_top_set_rat )
% 3.29/3.49         => ( ( image_2699825501378146573ar_rat @ ( produc1547070076189439812at_rat @ F @ G ) @ top_to5594287848199751986ar_nat )
% 3.29/3.49            = top_to8437673547576850234ar_rat ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % map_prod_surj
% 3.29/3.49  thf(fact_982_GrD1,axiom,
% 3.29/3.49      ! [X2: set_Pr4329608150637261639at_nat,Fx: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat,F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Fx ) @ ( bNF_Gr7888059597227825506at_nat @ A4 @ F ) )
% 3.29/3.49       => ( member6273874620674182256at_nat @ X2 @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD1
% 3.29/3.49  thf(fact_983_GrD1,axiom,
% 3.29/3.49      ! [X2: set_Pr1261947904930325089at_nat,Fx: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Fx ) @ ( bNF_Gr1527221351080490466at_nat @ A4 @ F ) )
% 3.29/3.49       => ( member2643936169264416010at_nat @ X2 @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD1
% 3.29/3.49  thf(fact_984_GrD1,axiom,
% 3.29/3.49      ! [X2: nat,Fx: num,A4: set_nat,F: nat > num] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X2 @ Fx ) @ ( bNF_Gr_nat_num @ A4 @ F ) )
% 3.29/3.49       => ( member_nat @ X2 @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD1
% 3.29/3.49  thf(fact_985_GrD1,axiom,
% 3.29/3.49      ! [X2: nat,Fx: nat,A4: set_nat,F: nat > nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Fx ) @ ( bNF_Gr_nat_nat @ A4 @ F ) )
% 3.29/3.49       => ( member_nat @ X2 @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD1
% 3.29/3.49  thf(fact_986_GrD1,axiom,
% 3.29/3.49      ! [X2: int,Fx: int,A4: set_int,F: int > int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Fx ) @ ( bNF_Gr_int_int @ A4 @ F ) )
% 3.29/3.49       => ( member_int @ X2 @ A4 ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD1
% 3.29/3.49  thf(fact_987_GrD2,axiom,
% 3.29/3.49      ! [X2: set_Pr4329608150637261639at_nat,Fx: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat,F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat] :
% 3.29/3.49        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Fx ) @ ( bNF_Gr7888059597227825506at_nat @ A4 @ F ) )
% 3.29/3.49       => ( ( F @ X2 )
% 3.29/3.49          = Fx ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD2
% 3.29/3.49  thf(fact_988_GrD2,axiom,
% 3.29/3.49      ! [X2: set_Pr1261947904930325089at_nat,Fx: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.49        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Fx ) @ ( bNF_Gr1527221351080490466at_nat @ A4 @ F ) )
% 3.29/3.49       => ( ( F @ X2 )
% 3.29/3.49          = Fx ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD2
% 3.29/3.49  thf(fact_989_GrD2,axiom,
% 3.29/3.49      ! [X2: nat,Fx: num,A4: set_nat,F: nat > num] :
% 3.29/3.49        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X2 @ Fx ) @ ( bNF_Gr_nat_num @ A4 @ F ) )
% 3.29/3.49       => ( ( F @ X2 )
% 3.29/3.49          = Fx ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD2
% 3.29/3.49  thf(fact_990_GrD2,axiom,
% 3.29/3.49      ! [X2: nat,Fx: nat,A4: set_nat,F: nat > nat] :
% 3.29/3.49        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Fx ) @ ( bNF_Gr_nat_nat @ A4 @ F ) )
% 3.29/3.49       => ( ( F @ X2 )
% 3.29/3.49          = Fx ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD2
% 3.29/3.49  thf(fact_991_GrD2,axiom,
% 3.29/3.49      ! [X2: int,Fx: int,A4: set_int,F: int > int] :
% 3.29/3.49        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Fx ) @ ( bNF_Gr_int_int @ A4 @ F ) )
% 3.29/3.49       => ( ( F @ X2 )
% 3.29/3.49          = Fx ) ) ).
% 3.29/3.49  
% 3.29/3.49  % GrD2
% 3.29/3.49  thf(fact_992_success__refI,axiom,
% 3.29/3.49      ! [V: a,H: heap_e7401611519738050253t_unit] : ( heap_success_ref_a @ ( ref_a2 @ V ) @ H ) ).
% 3.29/3.49  
% 3.29/3.49  % success_refI
% 3.29/3.49  thf(fact_993_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > $o,Ya: char > $o,Y3: char > $o,Xa2: char > $o,R3: $o > $o > $o,Ra: $o > $o > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: $o,Yb: $o] :
% 3.29/3.49                ( ( member_o @ Z3 @ ( image_char_o @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_o @ Yb @ ( image_char_o @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re1692451286490762625ar_o_o
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re1692451286490762625ar_o_o
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_994_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > $o,Ya: char > $o,Y3: char > nat,Xa2: char > nat,R3: $o > nat > $o,Ra: $o > nat > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: $o,Yb: nat] :
% 3.29/3.49                ( ( member_o @ Z3 @ ( image_char_o @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_nat @ Yb @ ( image_char_nat @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re4782998131235581479_o_nat
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re4782998131235581479_o_nat
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_995_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > $o,Ya: char > $o,Y3: char > int,Xa2: char > int,R3: $o > int > $o,Ra: $o > int > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: $o,Yb: int] :
% 3.29/3.49                ( ( member_o @ Z3 @ ( image_char_o @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_int @ Yb @ ( image_char_int @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re4780507660726531203_o_int
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re4780507660726531203_o_int
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_996_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > nat,Ya: char > nat,Y3: char > $o,Xa2: char > $o,R3: nat > $o > $o,Ra: nat > $o > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: nat,Yb: $o] :
% 3.29/3.49                ( ( member_nat @ Z3 @ ( image_char_nat @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_o @ Yb @ ( image_char_o @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re7885669492343766789_nat_o
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re7885669492343766789_nat_o
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_997_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > nat,Ya: char > nat,Y3: char > nat,Xa2: char > nat,R3: nat > nat > $o,Ra: nat > nat > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: nat,Yb: nat] :
% 3.29/3.49                ( ( member_nat @ Z3 @ ( image_char_nat @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_nat @ Yb @ ( image_char_nat @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re3734335887435638179at_nat
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re3734335887435638179at_nat
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_998_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > nat,Ya: char > nat,Y3: char > int,Xa2: char > int,R3: nat > int > $o,Ra: nat > int > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: nat,Yb: int] :
% 3.29/3.49                ( ( member_nat @ Z3 @ ( image_char_nat @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_int @ Yb @ ( image_char_int @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re3731845416926587903at_int
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re3731845416926587903at_int
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_999_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > int,Ya: char > int,Y3: char > $o,Xa2: char > $o,R3: int > $o > $o,Ra: int > $o > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: int,Yb: $o] :
% 3.29/3.49                ( ( member_int @ Z3 @ ( image_char_int @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_o @ Yb @ ( image_char_o @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re6064627146911078825_int_o
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re6064627146911078825_int_o
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_1000_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > int,Ya: char > int,Y3: char > nat,Xa2: char > nat,R3: int > nat > $o,Ra: int > nat > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: int,Yb: nat] :
% 3.29/3.49                ( ( member_int @ Z3 @ ( image_char_int @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_nat @ Yb @ ( image_char_nat @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re4733689599336692735nt_nat
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re4733689599336692735nt_nat
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_1001_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: char > int,Ya: char > int,Y3: char > int,Xa2: char > int,R3: int > int > $o,Ra: int > int > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: int,Yb: int] :
% 3.29/3.49                ( ( member_int @ Z3 @ ( image_char_int @ Ya @ top_top_set_char ) )
% 3.29/3.49               => ( ( member_int @ Yb @ ( image_char_int @ Xa2 @ top_top_set_char ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re4731199128827642459nt_int
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re4731199128827642459nt_int
% 3.29/3.49                @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_1002_fun_Orel__cong,axiom,
% 3.29/3.49      ! [X2: rat > $o,Ya: rat > $o,Y3: rat > $o,Xa2: rat > $o,R3: $o > $o > $o,Ra: $o > $o > $o] :
% 3.29/3.49        ( ( X2 = Ya )
% 3.29/3.49       => ( ( Y3 = Xa2 )
% 3.29/3.49         => ( ! [Z3: $o,Yb: $o] :
% 3.29/3.49                ( ( member_o @ Z3 @ ( image_rat_o @ Ya @ top_top_set_rat ) )
% 3.29/3.49               => ( ( member_o @ Yb @ ( image_rat_o @ Xa2 @ top_top_set_rat ) )
% 3.29/3.49                 => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                    = ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49           => ( ( bNF_re1865807574169326223at_o_o
% 3.29/3.49                @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.49                @ R3
% 3.29/3.49                @ X2
% 3.29/3.49                @ Y3 )
% 3.29/3.49              = ( bNF_re1865807574169326223at_o_o
% 3.29/3.49                @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.49                @ Ra
% 3.29/3.49                @ Ya
% 3.29/3.49                @ Xa2 ) ) ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_cong
% 3.29/3.49  thf(fact_1003_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: $o > $o > $o,X2: char > $o,Y3: char > $o,Ra: $o > $o > $o] :
% 3.29/3.49        ( ( bNF_re1692451286490762625ar_o_o
% 3.29/3.49          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49          @ R3
% 3.29/3.49          @ X2
% 3.29/3.49          @ Y3 )
% 3.29/3.49       => ( ! [Z3: $o,Yb: $o] :
% 3.29/3.49              ( ( member_o @ Z3 @ ( image_char_o @ X2 @ top_top_set_char ) )
% 3.29/3.49             => ( ( member_o @ Yb @ ( image_char_o @ Y3 @ top_top_set_char ) )
% 3.29/3.49               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49         => ( bNF_re1692451286490762625ar_o_o
% 3.29/3.49            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49            @ Ra
% 3.29/3.49            @ X2
% 3.29/3.49            @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_mono_strong
% 3.29/3.49  thf(fact_1004_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: $o > nat > $o,X2: char > $o,Y3: char > nat,Ra: $o > nat > $o] :
% 3.29/3.49        ( ( bNF_re4782998131235581479_o_nat
% 3.29/3.49          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49          @ R3
% 3.29/3.49          @ X2
% 3.29/3.49          @ Y3 )
% 3.29/3.49       => ( ! [Z3: $o,Yb: nat] :
% 3.29/3.49              ( ( member_o @ Z3 @ ( image_char_o @ X2 @ top_top_set_char ) )
% 3.29/3.49             => ( ( member_nat @ Yb @ ( image_char_nat @ Y3 @ top_top_set_char ) )
% 3.29/3.49               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49         => ( bNF_re4782998131235581479_o_nat
% 3.29/3.49            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49            @ Ra
% 3.29/3.49            @ X2
% 3.29/3.49            @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_mono_strong
% 3.29/3.49  thf(fact_1005_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: $o > int > $o,X2: char > $o,Y3: char > int,Ra: $o > int > $o] :
% 3.29/3.49        ( ( bNF_re4780507660726531203_o_int
% 3.29/3.49          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49          @ R3
% 3.29/3.49          @ X2
% 3.29/3.49          @ Y3 )
% 3.29/3.49       => ( ! [Z3: $o,Yb: int] :
% 3.29/3.49              ( ( member_o @ Z3 @ ( image_char_o @ X2 @ top_top_set_char ) )
% 3.29/3.49             => ( ( member_int @ Yb @ ( image_char_int @ Y3 @ top_top_set_char ) )
% 3.29/3.49               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49         => ( bNF_re4780507660726531203_o_int
% 3.29/3.49            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49            @ Ra
% 3.29/3.49            @ X2
% 3.29/3.49            @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_mono_strong
% 3.29/3.49  thf(fact_1006_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: nat > $o > $o,X2: char > nat,Y3: char > $o,Ra: nat > $o > $o] :
% 3.29/3.49        ( ( bNF_re7885669492343766789_nat_o
% 3.29/3.49          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49          @ R3
% 3.29/3.49          @ X2
% 3.29/3.49          @ Y3 )
% 3.29/3.49       => ( ! [Z3: nat,Yb: $o] :
% 3.29/3.49              ( ( member_nat @ Z3 @ ( image_char_nat @ X2 @ top_top_set_char ) )
% 3.29/3.49             => ( ( member_o @ Yb @ ( image_char_o @ Y3 @ top_top_set_char ) )
% 3.29/3.49               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49         => ( bNF_re7885669492343766789_nat_o
% 3.29/3.49            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49            @ Ra
% 3.29/3.49            @ X2
% 3.29/3.49            @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_mono_strong
% 3.29/3.49  thf(fact_1007_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: nat > nat > $o,X2: char > nat,Y3: char > nat,Ra: nat > nat > $o] :
% 3.29/3.49        ( ( bNF_re3734335887435638179at_nat
% 3.29/3.49          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49          @ R3
% 3.29/3.49          @ X2
% 3.29/3.49          @ Y3 )
% 3.29/3.49       => ( ! [Z3: nat,Yb: nat] :
% 3.29/3.49              ( ( member_nat @ Z3 @ ( image_char_nat @ X2 @ top_top_set_char ) )
% 3.29/3.49             => ( ( member_nat @ Yb @ ( image_char_nat @ Y3 @ top_top_set_char ) )
% 3.29/3.49               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49         => ( bNF_re3734335887435638179at_nat
% 3.29/3.49            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49            @ Ra
% 3.29/3.49            @ X2
% 3.29/3.49            @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_mono_strong
% 3.29/3.49  thf(fact_1008_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: nat > int > $o,X2: char > nat,Y3: char > int,Ra: nat > int > $o] :
% 3.29/3.49        ( ( bNF_re3731845416926587903at_int
% 3.29/3.49          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49          @ R3
% 3.29/3.49          @ X2
% 3.29/3.49          @ Y3 )
% 3.29/3.49       => ( ! [Z3: nat,Yb: int] :
% 3.29/3.49              ( ( member_nat @ Z3 @ ( image_char_nat @ X2 @ top_top_set_char ) )
% 3.29/3.49             => ( ( member_int @ Yb @ ( image_char_int @ Y3 @ top_top_set_char ) )
% 3.29/3.49               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.49                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.49         => ( bNF_re3731845416926587903at_int
% 3.29/3.49            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.49            @ Ra
% 3.29/3.49            @ X2
% 3.29/3.49            @ Y3 ) ) ) ).
% 3.29/3.49  
% 3.29/3.49  % fun.rel_mono_strong
% 3.29/3.49  thf(fact_1009_fun_Orel__mono__strong,axiom,
% 3.29/3.49      ! [R3: int > $o > $o,X2: char > int,Y3: char > $o,Ra: int > $o > $o] :
% 3.29/3.50        ( ( bNF_re6064627146911078825_int_o
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 )
% 3.29/3.50       => ( ! [Z3: int,Yb: $o] :
% 3.29/3.50              ( ( member_int @ Z3 @ ( image_char_int @ X2 @ top_top_set_char ) )
% 3.29/3.50             => ( ( member_o @ Yb @ ( image_char_o @ Y3 @ top_top_set_char ) )
% 3.29/3.50               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.50                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.50         => ( bNF_re6064627146911078825_int_o
% 3.29/3.50            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50            @ Ra
% 3.29/3.50            @ X2
% 3.29/3.50            @ Y3 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_mono_strong
% 3.29/3.50  thf(fact_1010_fun_Orel__mono__strong,axiom,
% 3.29/3.50      ! [R3: int > nat > $o,X2: char > int,Y3: char > nat,Ra: int > nat > $o] :
% 3.29/3.50        ( ( bNF_re4733689599336692735nt_nat
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 )
% 3.29/3.50       => ( ! [Z3: int,Yb: nat] :
% 3.29/3.50              ( ( member_int @ Z3 @ ( image_char_int @ X2 @ top_top_set_char ) )
% 3.29/3.50             => ( ( member_nat @ Yb @ ( image_char_nat @ Y3 @ top_top_set_char ) )
% 3.29/3.50               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.50                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.50         => ( bNF_re4733689599336692735nt_nat
% 3.29/3.50            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50            @ Ra
% 3.29/3.50            @ X2
% 3.29/3.50            @ Y3 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_mono_strong
% 3.29/3.50  thf(fact_1011_fun_Orel__mono__strong,axiom,
% 3.29/3.50      ! [R3: int > int > $o,X2: char > int,Y3: char > int,Ra: int > int > $o] :
% 3.29/3.50        ( ( bNF_re4731199128827642459nt_int
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 )
% 3.29/3.50       => ( ! [Z3: int,Yb: int] :
% 3.29/3.50              ( ( member_int @ Z3 @ ( image_char_int @ X2 @ top_top_set_char ) )
% 3.29/3.50             => ( ( member_int @ Yb @ ( image_char_int @ Y3 @ top_top_set_char ) )
% 3.29/3.50               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.50                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.50         => ( bNF_re4731199128827642459nt_int
% 3.29/3.50            @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50            @ Ra
% 3.29/3.50            @ X2
% 3.29/3.50            @ Y3 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_mono_strong
% 3.29/3.50  thf(fact_1012_fun_Orel__mono__strong,axiom,
% 3.29/3.50      ! [R3: $o > $o > $o,X2: rat > $o,Y3: rat > $o,Ra: $o > $o > $o] :
% 3.29/3.50        ( ( bNF_re1865807574169326223at_o_o
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 )
% 3.29/3.50       => ( ! [Z3: $o,Yb: $o] :
% 3.29/3.50              ( ( member_o @ Z3 @ ( image_rat_o @ X2 @ top_top_set_rat ) )
% 3.29/3.50             => ( ( member_o @ Yb @ ( image_rat_o @ Y3 @ top_top_set_rat ) )
% 3.29/3.50               => ( ( R3 @ Z3 @ Yb )
% 3.29/3.50                 => ( Ra @ Z3 @ Yb ) ) ) )
% 3.29/3.50         => ( bNF_re1865807574169326223at_o_o
% 3.29/3.50            @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50            @ Ra
% 3.29/3.50            @ X2
% 3.29/3.50            @ Y3 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_mono_strong
% 3.29/3.50  thf(fact_1013_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: char > $o,Ra: $o > $o > $o] :
% 3.29/3.50        ( ! [Z3: $o] :
% 3.29/3.50            ( ( member_o @ Z3 @ ( image_char_o @ X2 @ top_top_set_char ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re1692451286490762625ar_o_o
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1014_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: char > nat,Ra: nat > nat > $o] :
% 3.29/3.50        ( ! [Z3: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_char_nat @ X2 @ top_top_set_char ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re3734335887435638179at_nat
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1015_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: char > int,Ra: int > int > $o] :
% 3.29/3.50        ( ! [Z3: int] :
% 3.29/3.50            ( ( member_int @ Z3 @ ( image_char_int @ X2 @ top_top_set_char ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re4731199128827642459nt_int
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1016_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: rat > $o,Ra: $o > $o > $o] :
% 3.29/3.50        ( ! [Z3: $o] :
% 3.29/3.50            ( ( member_o @ Z3 @ ( image_rat_o @ X2 @ top_top_set_rat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re1865807574169326223at_o_o
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1017_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: rat > nat,Ra: nat > nat > $o] :
% 3.29/3.50        ( ! [Z3: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_rat_nat @ X2 @ top_top_set_rat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re6557955094579809201at_nat
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1018_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: rat > int,Ra: int > int > $o] :
% 3.29/3.50        ( ! [Z3: int] :
% 3.29/3.50            ( ( member_int @ Z3 @ ( image_rat_int @ X2 @ top_top_set_rat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re7554818335971813481nt_int
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1019_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: nat > rat,Ra: rat > rat > $o] :
% 3.29/3.50        ( ! [Z3: rat] :
% 3.29/3.50            ( ( member_rat @ Z3 @ ( image_nat_rat @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re4702136315717946289at_rat
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1020_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: nat > $o,Ra: $o > $o > $o] :
% 3.29/3.50        ( ! [Z3: $o] :
% 3.29/3.50            ( ( member_o @ Z3 @ ( image_nat_o @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re4705727531993890431at_o_o
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1021_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: nat > nat,Ra: nat > nat > $o] :
% 3.29/3.50        ( ! [Z3: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_nat_nat @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re5653821019739307937at_nat
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1022_fun_Orel__refl__strong,axiom,
% 3.29/3.50      ! [X2: nat > int,Ra: int > int > $o] :
% 3.29/3.50        ( ! [Z3: int] :
% 3.29/3.50            ( ( member_int @ Z3 @ ( image_nat_int @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( Ra @ Z3 @ Z3 ) )
% 3.29/3.50       => ( bNF_re6650684261131312217nt_int
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ Ra
% 3.29/3.50          @ X2
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_refl_strong
% 3.29/3.50  thf(fact_1023_range__subsetD,axiom,
% 3.29/3.50      ! [F: char > $o,B5: set_o,I: char] :
% 3.29/3.50        ( ( ord_less_eq_set_o @ ( image_char_o @ F @ top_top_set_char ) @ B5 )
% 3.29/3.50       => ( member_o @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1024_range__subsetD,axiom,
% 3.29/3.50      ! [F: char > nat,B5: set_nat,I: char] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ ( image_char_nat @ F @ top_top_set_char ) @ B5 )
% 3.29/3.50       => ( member_nat @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1025_range__subsetD,axiom,
% 3.29/3.50      ! [F: char > int,B5: set_int,I: char] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ ( image_char_int @ F @ top_top_set_char ) @ B5 )
% 3.29/3.50       => ( member_int @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1026_range__subsetD,axiom,
% 3.29/3.50      ! [F: rat > $o,B5: set_o,I: rat] :
% 3.29/3.50        ( ( ord_less_eq_set_o @ ( image_rat_o @ F @ top_top_set_rat ) @ B5 )
% 3.29/3.50       => ( member_o @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1027_range__subsetD,axiom,
% 3.29/3.50      ! [F: rat > nat,B5: set_nat,I: rat] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ ( image_rat_nat @ F @ top_top_set_rat ) @ B5 )
% 3.29/3.50       => ( member_nat @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1028_range__subsetD,axiom,
% 3.29/3.50      ! [F: rat > int,B5: set_int,I: rat] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ ( image_rat_int @ F @ top_top_set_rat ) @ B5 )
% 3.29/3.50       => ( member_int @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1029_range__subsetD,axiom,
% 3.29/3.50      ! [F: nat > rat,B5: set_rat,I: nat] :
% 3.29/3.50        ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ top_top_set_nat ) @ B5 )
% 3.29/3.50       => ( member_rat @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1030_range__subsetD,axiom,
% 3.29/3.50      ! [F: nat > $o,B5: set_o,I: nat] :
% 3.29/3.50        ( ( ord_less_eq_set_o @ ( image_nat_o @ F @ top_top_set_nat ) @ B5 )
% 3.29/3.50       => ( member_o @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1031_range__subsetD,axiom,
% 3.29/3.50      ! [F: nat > nat,B5: set_nat,I: nat] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ top_top_set_nat ) @ B5 )
% 3.29/3.50       => ( member_nat @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1032_range__subsetD,axiom,
% 3.29/3.50      ! [F: nat > int,B5: set_int,I: nat] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ top_top_set_nat ) @ B5 )
% 3.29/3.50       => ( member_int @ ( F @ I ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_subsetD
% 3.29/3.50  thf(fact_1033_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: nat > rat,V: char > nat] :
% 3.29/3.50        ( ( image_char_rat @ ( comp_nat_rat_char @ F @ V ) @ top_top_set_char )
% 3.29/3.50        = ( image_nat_rat @ F @ ( image_char_nat @ V @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1034_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: nat > nat,V: char > nat] :
% 3.29/3.50        ( ( image_char_nat @ ( comp_nat_nat_char @ F @ V ) @ top_top_set_char )
% 3.29/3.50        = ( image_nat_nat @ F @ ( image_char_nat @ V @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1035_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: nat > int,V: char > nat] :
% 3.29/3.50        ( ( image_char_int @ ( comp_nat_int_char @ F @ V ) @ top_top_set_char )
% 3.29/3.50        = ( image_nat_int @ F @ ( image_char_nat @ V @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1036_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: int > nat,V: char > int] :
% 3.29/3.50        ( ( image_char_nat @ ( comp_int_nat_char @ F @ V ) @ top_top_set_char )
% 3.29/3.50        = ( image_int_nat @ F @ ( image_char_int @ V @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1037_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: int > int,V: char > int] :
% 3.29/3.50        ( ( image_char_int @ ( comp_int_int_char @ F @ V ) @ top_top_set_char )
% 3.29/3.50        = ( image_int_int @ F @ ( image_char_int @ V @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1038_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: nat > rat,V: rat > nat] :
% 3.29/3.50        ( ( image_rat_rat @ ( comp_nat_rat_rat @ F @ V ) @ top_top_set_rat )
% 3.29/3.50        = ( image_nat_rat @ F @ ( image_rat_nat @ V @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1039_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: nat > nat,V: rat > nat] :
% 3.29/3.50        ( ( image_rat_nat @ ( comp_nat_nat_rat @ F @ V ) @ top_top_set_rat )
% 3.29/3.50        = ( image_nat_nat @ F @ ( image_rat_nat @ V @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1040_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: nat > int,V: rat > nat] :
% 3.29/3.50        ( ( image_rat_int @ ( comp_nat_int_rat @ F @ V ) @ top_top_set_rat )
% 3.29/3.50        = ( image_nat_int @ F @ ( image_rat_nat @ V @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1041_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: int > nat,V: rat > int] :
% 3.29/3.50        ( ( image_rat_nat @ ( comp_int_nat_rat @ F @ V ) @ top_top_set_rat )
% 3.29/3.50        = ( image_int_nat @ F @ ( image_rat_int @ V @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1042_fun_Oset__map,axiom,
% 3.29/3.50      ! [F: int > int,V: rat > int] :
% 3.29/3.50        ( ( image_rat_int @ ( comp_int_int_rat @ F @ V ) @ top_top_set_rat )
% 3.29/3.50        = ( image_int_int @ F @ ( image_rat_int @ V @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.set_map
% 3.29/3.50  thf(fact_1043_fun_Omap__cong,axiom,
% 3.29/3.50      ! [X2: code_integer > code_integer > code_integer,Ya: code_integer > code_integer > code_integer,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.50        ( ( X2 = Ya )
% 3.29/3.50       => ( ! [Z3: code_integer > code_integer] :
% 3.29/3.50              ( ( member2790140394383616496nteger @ Z3 @ ( image_2177946750938214461nteger @ Ya @ top_to4645266643341252675nteger ) )
% 3.29/3.50             => ( ( F @ Z3 )
% 3.29/3.50                = ( G @ Z3 ) ) )
% 3.29/3.50         => ( ( comp_C8797469213163452608nteger @ F @ X2 )
% 3.29/3.50            = ( comp_C8797469213163452608nteger @ G @ Ya ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong
% 3.29/3.50  thf(fact_1044_fun_Omap__cong,axiom,
% 3.29/3.50      ! [X2: nat > $o,Ya: nat > $o,F: $o > $o,G: $o > $o] :
% 3.29/3.50        ( ( X2 = Ya )
% 3.29/3.50       => ( ! [Z3: $o] :
% 3.29/3.50              ( ( member_o @ Z3 @ ( image_nat_o @ Ya @ top_top_set_nat ) )
% 3.29/3.50             => ( ( F @ Z3 )
% 3.29/3.50                = ( G @ Z3 ) ) )
% 3.29/3.50         => ( ( comp_o_o_nat @ F @ X2 )
% 3.29/3.50            = ( comp_o_o_nat @ G @ Ya ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong
% 3.29/3.50  thf(fact_1045_fun_Omap__cong,axiom,
% 3.29/3.50      ! [X2: nat > nat,Ya: nat > nat,F: nat > nat,G: nat > nat] :
% 3.29/3.50        ( ( X2 = Ya )
% 3.29/3.50       => ( ! [Z3: nat] :
% 3.29/3.50              ( ( member_nat @ Z3 @ ( image_nat_nat @ Ya @ top_top_set_nat ) )
% 3.29/3.50             => ( ( F @ Z3 )
% 3.29/3.50                = ( G @ Z3 ) ) )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ F @ X2 )
% 3.29/3.50            = ( comp_nat_nat_nat @ G @ Ya ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong
% 3.29/3.50  thf(fact_1046_fun_Omap__cong,axiom,
% 3.29/3.50      ! [X2: int > nat,Ya: int > nat,F: nat > num,G: nat > num] :
% 3.29/3.50        ( ( X2 = Ya )
% 3.29/3.50       => ( ! [Z3: nat] :
% 3.29/3.50              ( ( member_nat @ Z3 @ ( image_int_nat @ Ya @ top_top_set_int ) )
% 3.29/3.50             => ( ( F @ Z3 )
% 3.29/3.50                = ( G @ Z3 ) ) )
% 3.29/3.50         => ( ( comp_nat_num_int @ F @ X2 )
% 3.29/3.50            = ( comp_nat_num_int @ G @ Ya ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong
% 3.29/3.50  thf(fact_1047_fun_Omap__cong,axiom,
% 3.29/3.50      ! [X2: int > int,Ya: int > int,F: int > nat,G: int > nat] :
% 3.29/3.50        ( ( X2 = Ya )
% 3.29/3.50       => ( ! [Z3: int] :
% 3.29/3.50              ( ( member_int @ Z3 @ ( image_int_int @ Ya @ top_top_set_int ) )
% 3.29/3.50             => ( ( F @ Z3 )
% 3.29/3.50                = ( G @ Z3 ) ) )
% 3.29/3.50         => ( ( comp_int_nat_int @ F @ X2 )
% 3.29/3.50            = ( comp_int_nat_int @ G @ Ya ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong
% 3.29/3.50  thf(fact_1048_fun_Omap__cong0,axiom,
% 3.29/3.50      ! [X2: code_integer > code_integer > code_integer,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.50        ( ! [Z3: code_integer > code_integer] :
% 3.29/3.50            ( ( member2790140394383616496nteger @ Z3 @ ( image_2177946750938214461nteger @ X2 @ top_to4645266643341252675nteger ) )
% 3.29/3.50           => ( ( F @ Z3 )
% 3.29/3.50              = ( G @ Z3 ) ) )
% 3.29/3.50       => ( ( comp_C8797469213163452608nteger @ F @ X2 )
% 3.29/3.50          = ( comp_C8797469213163452608nteger @ G @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong0
% 3.29/3.50  thf(fact_1049_fun_Omap__cong0,axiom,
% 3.29/3.50      ! [X2: nat > $o,F: $o > $o,G: $o > $o] :
% 3.29/3.50        ( ! [Z3: $o] :
% 3.29/3.50            ( ( member_o @ Z3 @ ( image_nat_o @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( ( F @ Z3 )
% 3.29/3.50              = ( G @ Z3 ) ) )
% 3.29/3.50       => ( ( comp_o_o_nat @ F @ X2 )
% 3.29/3.50          = ( comp_o_o_nat @ G @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong0
% 3.29/3.50  thf(fact_1050_fun_Omap__cong0,axiom,
% 3.29/3.50      ! [X2: nat > nat,F: nat > nat,G: nat > nat] :
% 3.29/3.50        ( ! [Z3: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_nat_nat @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( ( F @ Z3 )
% 3.29/3.50              = ( G @ Z3 ) ) )
% 3.29/3.50       => ( ( comp_nat_nat_nat @ F @ X2 )
% 3.29/3.50          = ( comp_nat_nat_nat @ G @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong0
% 3.29/3.50  thf(fact_1051_fun_Omap__cong0,axiom,
% 3.29/3.50      ! [X2: int > nat,F: nat > num,G: nat > num] :
% 3.29/3.50        ( ! [Z3: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_int_nat @ X2 @ top_top_set_int ) )
% 3.29/3.50           => ( ( F @ Z3 )
% 3.29/3.50              = ( G @ Z3 ) ) )
% 3.29/3.50       => ( ( comp_nat_num_int @ F @ X2 )
% 3.29/3.50          = ( comp_nat_num_int @ G @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong0
% 3.29/3.50  thf(fact_1052_fun_Omap__cong0,axiom,
% 3.29/3.50      ! [X2: int > int,F: int > nat,G: int > nat] :
% 3.29/3.50        ( ! [Z3: int] :
% 3.29/3.50            ( ( member_int @ Z3 @ ( image_int_int @ X2 @ top_top_set_int ) )
% 3.29/3.50           => ( ( F @ Z3 )
% 3.29/3.50              = ( G @ Z3 ) ) )
% 3.29/3.50       => ( ( comp_int_nat_int @ F @ X2 )
% 3.29/3.50          = ( comp_int_nat_int @ G @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_cong0
% 3.29/3.50  thf(fact_1053_fun_Oinj__map__strong,axiom,
% 3.29/3.50      ! [X2: code_integer > code_integer > code_integer,Xa2: code_integer > code_integer > code_integer,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,Fa: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.50        ( ! [Z3: code_integer > code_integer,Za: code_integer > code_integer] :
% 3.29/3.50            ( ( member2790140394383616496nteger @ Z3 @ ( image_2177946750938214461nteger @ X2 @ top_to4645266643341252675nteger ) )
% 3.29/3.50           => ( ( member2790140394383616496nteger @ Za @ ( image_2177946750938214461nteger @ Xa2 @ top_to4645266643341252675nteger ) )
% 3.29/3.50             => ( ( ( F @ Z3 )
% 3.29/3.50                  = ( Fa @ Za ) )
% 3.29/3.50               => ( Z3 = Za ) ) ) )
% 3.29/3.50       => ( ( ( comp_C8797469213163452608nteger @ F @ X2 )
% 3.29/3.50            = ( comp_C8797469213163452608nteger @ Fa @ Xa2 ) )
% 3.29/3.50         => ( X2 = Xa2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.inj_map_strong
% 3.29/3.50  thf(fact_1054_fun_Oinj__map__strong,axiom,
% 3.29/3.50      ! [X2: nat > $o,Xa2: nat > $o,F: $o > $o,Fa: $o > $o] :
% 3.29/3.50        ( ! [Z3: $o,Za: $o] :
% 3.29/3.50            ( ( member_o @ Z3 @ ( image_nat_o @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( ( member_o @ Za @ ( image_nat_o @ Xa2 @ top_top_set_nat ) )
% 3.29/3.50             => ( ( ( F @ Z3 )
% 3.29/3.50                  = ( Fa @ Za ) )
% 3.29/3.50               => ( Z3 = Za ) ) ) )
% 3.29/3.50       => ( ( ( comp_o_o_nat @ F @ X2 )
% 3.29/3.50            = ( comp_o_o_nat @ Fa @ Xa2 ) )
% 3.29/3.50         => ( X2 = Xa2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.inj_map_strong
% 3.29/3.50  thf(fact_1055_fun_Oinj__map__strong,axiom,
% 3.29/3.50      ! [X2: nat > nat,Xa2: nat > nat,F: nat > nat,Fa: nat > nat] :
% 3.29/3.50        ( ! [Z3: nat,Za: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_nat_nat @ X2 @ top_top_set_nat ) )
% 3.29/3.50           => ( ( member_nat @ Za @ ( image_nat_nat @ Xa2 @ top_top_set_nat ) )
% 3.29/3.50             => ( ( ( F @ Z3 )
% 3.29/3.50                  = ( Fa @ Za ) )
% 3.29/3.50               => ( Z3 = Za ) ) ) )
% 3.29/3.50       => ( ( ( comp_nat_nat_nat @ F @ X2 )
% 3.29/3.50            = ( comp_nat_nat_nat @ Fa @ Xa2 ) )
% 3.29/3.50         => ( X2 = Xa2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.inj_map_strong
% 3.29/3.50  thf(fact_1056_fun_Oinj__map__strong,axiom,
% 3.29/3.50      ! [X2: int > nat,Xa2: int > nat,F: nat > num,Fa: nat > num] :
% 3.29/3.50        ( ! [Z3: nat,Za: nat] :
% 3.29/3.50            ( ( member_nat @ Z3 @ ( image_int_nat @ X2 @ top_top_set_int ) )
% 3.29/3.50           => ( ( member_nat @ Za @ ( image_int_nat @ Xa2 @ top_top_set_int ) )
% 3.29/3.50             => ( ( ( F @ Z3 )
% 3.29/3.50                  = ( Fa @ Za ) )
% 3.29/3.50               => ( Z3 = Za ) ) ) )
% 3.29/3.50       => ( ( ( comp_nat_num_int @ F @ X2 )
% 3.29/3.50            = ( comp_nat_num_int @ Fa @ Xa2 ) )
% 3.29/3.50         => ( X2 = Xa2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.inj_map_strong
% 3.29/3.50  thf(fact_1057_fun_Oinj__map__strong,axiom,
% 3.29/3.50      ! [X2: int > int,Xa2: int > int,F: int > nat,Fa: int > nat] :
% 3.29/3.50        ( ! [Z3: int,Za: int] :
% 3.29/3.50            ( ( member_int @ Z3 @ ( image_int_int @ X2 @ top_top_set_int ) )
% 3.29/3.50           => ( ( member_int @ Za @ ( image_int_int @ Xa2 @ top_top_set_int ) )
% 3.29/3.50             => ( ( ( F @ Z3 )
% 3.29/3.50                  = ( Fa @ Za ) )
% 3.29/3.50               => ( Z3 = Za ) ) ) )
% 3.29/3.50       => ( ( ( comp_int_nat_int @ F @ X2 )
% 3.29/3.50            = ( comp_int_nat_int @ Fa @ Xa2 ) )
% 3.29/3.50         => ( X2 = Xa2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.inj_map_strong
% 3.29/3.50  thf(fact_1058_surj__fun__eq,axiom,
% 3.29/3.50      ! [F: nat > $o,X5: set_nat,G1: $o > $o,G22: $o > $o] :
% 3.29/3.50        ( ( ( image_nat_o @ F @ X5 )
% 3.29/3.50          = top_top_set_o )
% 3.29/3.50       => ( ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ X5 )
% 3.29/3.50             => ( ( comp_o_o_nat @ G1 @ F @ X )
% 3.29/3.50                = ( comp_o_o_nat @ G22 @ F @ X ) ) )
% 3.29/3.50         => ( G1 = G22 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % surj_fun_eq
% 3.29/3.50  thf(fact_1059_surj__fun__eq,axiom,
% 3.29/3.50      ! [F: code_integer > code_integer > code_integer,X5: set_Code_integer,G1: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G22: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.50        ( ( ( image_2177946750938214461nteger @ F @ X5 )
% 3.29/3.50          = top_to3804862627464599871nteger )
% 3.29/3.50       => ( ! [X: code_integer] :
% 3.29/3.50              ( ( member_Code_integer @ X @ X5 )
% 3.29/3.50             => ( ( comp_C8797469213163452608nteger @ G1 @ F @ X )
% 3.29/3.50                = ( comp_C8797469213163452608nteger @ G22 @ F @ X ) ) )
% 3.29/3.50         => ( G1 = G22 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % surj_fun_eq
% 3.29/3.50  thf(fact_1060_surj__fun__eq,axiom,
% 3.29/3.50      ! [F: nat > nat,X5: set_nat,G1: nat > nat,G22: nat > nat] :
% 3.29/3.50        ( ( ( image_nat_nat @ F @ X5 )
% 3.29/3.50          = top_top_set_nat )
% 3.29/3.50       => ( ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ X5 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ G1 @ F @ X )
% 3.29/3.50                = ( comp_nat_nat_nat @ G22 @ F @ X ) ) )
% 3.29/3.50         => ( G1 = G22 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % surj_fun_eq
% 3.29/3.50  thf(fact_1061_surj__fun__eq,axiom,
% 3.29/3.50      ! [F: int > nat,X5: set_int,G1: nat > num,G22: nat > num] :
% 3.29/3.50        ( ( ( image_int_nat @ F @ X5 )
% 3.29/3.50          = top_top_set_nat )
% 3.29/3.50       => ( ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ X5 )
% 3.29/3.50             => ( ( comp_nat_num_int @ G1 @ F @ X )
% 3.29/3.50                = ( comp_nat_num_int @ G22 @ F @ X ) ) )
% 3.29/3.50         => ( G1 = G22 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % surj_fun_eq
% 3.29/3.50  thf(fact_1062_surj__fun__eq,axiom,
% 3.29/3.50      ! [F: int > int,X5: set_int,G1: int > nat,G22: int > nat] :
% 3.29/3.50        ( ( ( image_int_int @ F @ X5 )
% 3.29/3.50          = top_top_set_int )
% 3.29/3.50       => ( ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ X5 )
% 3.29/3.50             => ( ( comp_int_nat_int @ G1 @ F @ X )
% 3.29/3.50                = ( comp_int_nat_int @ G22 @ F @ X ) ) )
% 3.29/3.50         => ( G1 = G22 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % surj_fun_eq
% 3.29/3.50  thf(fact_1063_comp__surj,axiom,
% 3.29/3.50      ! [F: char > char,G: char > char] :
% 3.29/3.50        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_char )
% 3.29/3.50       => ( ( ( image_char_char @ G @ top_top_set_char )
% 3.29/3.50            = top_top_set_char )
% 3.29/3.50         => ( ( image_char_char @ ( comp_char_char_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1064_comp__surj,axiom,
% 3.29/3.50      ! [F: char > char,G: char > rat] :
% 3.29/3.50        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_char )
% 3.29/3.50       => ( ( ( image_char_rat @ G @ top_top_set_char )
% 3.29/3.50            = top_top_set_rat )
% 3.29/3.50         => ( ( image_char_rat @ ( comp_char_rat_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1065_comp__surj,axiom,
% 3.29/3.50      ! [F: char > char,G: char > nat] :
% 3.29/3.50        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_char )
% 3.29/3.50       => ( ( ( image_char_nat @ G @ top_top_set_char )
% 3.29/3.50            = top_top_set_nat )
% 3.29/3.50         => ( ( image_char_nat @ ( comp_char_nat_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1066_comp__surj,axiom,
% 3.29/3.50      ! [F: char > char,G: char > int] :
% 3.29/3.50        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_char )
% 3.29/3.50       => ( ( ( image_char_int @ G @ top_top_set_char )
% 3.29/3.50            = top_top_set_int )
% 3.29/3.50         => ( ( image_char_int @ ( comp_char_int_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_int ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1067_comp__surj,axiom,
% 3.29/3.50      ! [F: char > rat,G: rat > char] :
% 3.29/3.50        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_rat )
% 3.29/3.50       => ( ( ( image_rat_char @ G @ top_top_set_rat )
% 3.29/3.50            = top_top_set_char )
% 3.29/3.50         => ( ( image_char_char @ ( comp_rat_char_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1068_comp__surj,axiom,
% 3.29/3.50      ! [F: char > rat,G: rat > rat] :
% 3.29/3.50        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_rat )
% 3.29/3.50       => ( ( ( image_rat_rat @ G @ top_top_set_rat )
% 3.29/3.50            = top_top_set_rat )
% 3.29/3.50         => ( ( image_char_rat @ ( comp_rat_rat_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1069_comp__surj,axiom,
% 3.29/3.50      ! [F: char > rat,G: rat > nat] :
% 3.29/3.50        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_rat )
% 3.29/3.50       => ( ( ( image_rat_nat @ G @ top_top_set_rat )
% 3.29/3.50            = top_top_set_nat )
% 3.29/3.50         => ( ( image_char_nat @ ( comp_rat_nat_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1070_comp__surj,axiom,
% 3.29/3.50      ! [F: char > rat,G: rat > int] :
% 3.29/3.50        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_rat )
% 3.29/3.50       => ( ( ( image_rat_int @ G @ top_top_set_rat )
% 3.29/3.50            = top_top_set_int )
% 3.29/3.50         => ( ( image_char_int @ ( comp_rat_int_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_int ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1071_comp__surj,axiom,
% 3.29/3.50      ! [F: char > nat,G: nat > char] :
% 3.29/3.50        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_nat )
% 3.29/3.50       => ( ( ( image_nat_char @ G @ top_top_set_nat )
% 3.29/3.50            = top_top_set_char )
% 3.29/3.50         => ( ( image_char_char @ ( comp_nat_char_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1072_comp__surj,axiom,
% 3.29/3.50      ! [F: char > nat,G: nat > rat] :
% 3.29/3.50        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.50          = top_top_set_nat )
% 3.29/3.50       => ( ( ( image_nat_rat @ G @ top_top_set_nat )
% 3.29/3.50            = top_top_set_rat )
% 3.29/3.50         => ( ( image_char_rat @ ( comp_nat_rat_char @ G @ F ) @ top_top_set_char )
% 3.29/3.50            = top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_surj
% 3.29/3.50  thf(fact_1073_apsnd__def,axiom,
% 3.29/3.50      ( produc6499014454317279255nteger
% 3.29/3.50      = ( produc1802105962441033582nteger @ id_Code_integer ) ) ).
% 3.29/3.50  
% 3.29/3.50  % apsnd_def
% 3.29/3.50  thf(fact_1074_rel__fun__image2p,axiom,
% 3.29/3.50      ! [R3: product_prod_nat_nat > int > $o,F: product_prod_nat_nat > nat,G: int > nat] : ( bNF_re4555766996558763186at_nat @ R3 @ ( bNF_Gr6955563364113978072nt_nat @ F @ G @ R3 ) @ F @ G ) ).
% 3.29/3.50  
% 3.29/3.50  % rel_fun_image2p
% 3.29/3.50  thf(fact_1075_rel__fun__image2p,axiom,
% 3.29/3.50      ! [R3: product_prod_nat_nat > int > $o,F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat,G: int > int > int] : ( bNF_re7408651293131936558nt_int @ R3 @ ( bNF_Gr1354378531936274772nt_int @ F @ G @ R3 ) @ F @ G ) ).
% 3.29/3.50  
% 3.29/3.50  % rel_fun_image2p
% 3.29/3.50  thf(fact_1076_rel__fun__image2p,axiom,
% 3.29/3.50      ! [R3: product_prod_nat_nat > int > $o,F: product_prod_nat_nat > product_prod_nat_nat > $o,G: int > int > $o] : ( bNF_re717283939379294677_int_o @ R3 @ ( bNF_Gr364077372107685167_int_o @ F @ G @ R3 ) @ F @ G ) ).
% 3.29/3.50  
% 3.29/3.50  % rel_fun_image2p
% 3.29/3.50  thf(fact_1077_rel__fun__image2p,axiom,
% 3.29/3.50      ! [R3: int > code_integer > $o,F: int > num,G: code_integer > num] : ( bNF_re6718328864250387230um_num @ R3 @ ( bNF_Gr166583433173494904er_num @ F @ G @ R3 ) @ F @ G ) ).
% 3.29/3.50  
% 3.29/3.50  % rel_fun_image2p
% 3.29/3.50  thf(fact_1078_rel__fun__image2p,axiom,
% 3.29/3.50      ! [R3: int > int > $o,F: int > num,G: int > num] : ( bNF_re7626690874201225453um_num @ R3 @ ( bNF_Gr7020624548710275655nt_num @ F @ G @ R3 ) @ F @ G ) ).
% 3.29/3.50  
% 3.29/3.50  % rel_fun_image2p
% 3.29/3.50  thf(fact_1079_comp__fun__idem__on_Ocomp__comp__fun__idem__on,axiom,
% 3.29/3.50      ! [S5: set_Co726186806682698383nteger,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,R3: set_Code_integer] :
% 3.29/3.50        ( ( finite954763878425697269nteger @ S5 @ F )
% 3.29/3.50       => ( ( ord_le348599935723844335nteger @ ( image_2177946750938214461nteger @ G @ top_to4645266643341252675nteger ) @ S5 )
% 3.29/3.50         => ( finite917065715488314481nteger @ R3 @ ( comp_C8797469213163452608nteger @ F @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_idem_on.comp_comp_fun_idem_on
% 3.29/3.50  thf(fact_1080_comp__fun__commute__on_Ocomp__comp__fun__commute__on,axiom,
% 3.29/3.50      ! [S5: set_Co726186806682698383nteger,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,R3: set_Code_integer] :
% 3.29/3.50        ( ( finite6756937295472016048nteger @ S5 @ F )
% 3.29/3.50       => ( ( ord_le348599935723844335nteger @ ( image_2177946750938214461nteger @ G @ top_to4645266643341252675nteger ) @ S5 )
% 3.29/3.50         => ( finite366418920864469932nteger @ R3 @ ( comp_C8797469213163452608nteger @ F @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.comp_comp_fun_commute_on
% 3.29/3.50  thf(fact_1081_image__Pow__mono,axiom,
% 3.29/3.50      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.50        ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.50       => ( ord_le513522071413781156et_rat @ ( image_4408659257933336347et_rat @ ( image_nat_rat @ F ) @ ( pow_nat @ A4 ) ) @ ( pow_rat @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_mono
% 3.29/3.50  thf(fact_1082_image__Pow__mono,axiom,
% 3.29/3.50      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.50       => ( ord_le6893508408891458716et_nat @ ( image_7916887816326733075et_nat @ ( image_nat_nat @ F ) @ ( pow_nat @ A4 ) ) @ ( pow_nat @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_mono
% 3.29/3.50  thf(fact_1083_image__Pow__mono,axiom,
% 3.29/3.50      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.50       => ( ord_le4403425263959731960et_int @ ( image_3739036796817536367et_int @ ( image_nat_int @ F ) @ ( pow_nat @ A4 ) ) @ ( pow_int @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_mono
% 3.29/3.50  thf(fact_1084_image__Pow__mono,axiom,
% 3.29/3.50      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.50       => ( ord_le6893508408891458716et_nat @ ( image_4702325430467532143et_nat @ ( image_int_nat @ F ) @ ( pow_int @ A4 ) ) @ ( pow_nat @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_mono
% 3.29/3.50  thf(fact_1085_image__Pow__mono,axiom,
% 3.29/3.50      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.50       => ( ord_le4403425263959731960et_int @ ( image_524474410958335435et_int @ ( image_int_int @ F ) @ ( pow_int @ A4 ) ) @ ( pow_int @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_mono
% 3.29/3.50  thf(fact_1086_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi7262943168399475603_int_o
% 3.29/3.50      = ( ^ [F2: char > int,G3: code_integer > int,P4: int > int > $o] : ( relcom5819909836510906509nteger @ ( bNF_Grp_char_int @ top_top_set_char @ F2 ) @ ( relcom967497705283160040nteger @ P4 @ ( conver1462408618118490240er_int @ ( bNF_Gr6045950513751025625er_int @ top_to4645266643341252675nteger @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1087_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi508398028314858188_int_o
% 3.29/3.50      = ( ^ [F2: rat > int,G3: code_integer > int,P4: int > int > $o] : ( relcom3409376902655092628nteger @ ( bNF_Grp_rat_int @ top_top_set_rat @ F2 ) @ ( relcom967497705283160040nteger @ P4 @ ( conver1462408618118490240er_int @ ( bNF_Gr6045950513751025625er_int @ top_to4645266643341252675nteger @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1088_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi7331807916455492308_int_o
% 3.29/3.50      = ( ^ [F2: nat > int,G3: code_integer > int,P4: int > int > $o] : ( relcom3277315637376110988nteger @ ( bNF_Grp_nat_int @ top_top_set_nat @ F2 ) @ ( relcom967497705283160040nteger @ P4 @ ( conver1462408618118490240er_int @ ( bNF_Gr6045950513751025625er_int @ top_to4645266643341252675nteger @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1089_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi2125572119366604152_int_o
% 3.29/3.50      = ( ^ [F2: int > int,G3: code_integer > int,P4: int > int > $o] : ( relcom967497705283160040nteger @ ( bNF_Grp_int_int @ top_top_set_int @ F2 ) @ ( relcom967497705283160040nteger @ P4 @ ( conver1462408618118490240er_int @ ( bNF_Gr6045950513751025625er_int @ top_to4645266643341252675nteger @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1090_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi467646977814820164_int_o
% 3.29/3.50      = ( ^ [F2: list_nat > int,G3: code_integer > int,P4: int > int > $o] : ( relcom7887202796854296604nteger @ ( bNF_Grp_list_nat_int @ top_top_set_list_nat @ F2 ) @ ( relcom967497705283160040nteger @ P4 @ ( conver1462408618118490240er_int @ ( bNF_Gr6045950513751025625er_int @ top_to4645266643341252675nteger @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1091_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi728936465572800120_nat_o
% 3.29/3.50      = ( ^ [F2: char > product_prod_nat_nat,G3: int > product_prod_nat_nat,P4: product_prod_nat_nat > product_prod_nat_nat > $o] : ( relcom7879471502873553579at_int @ ( bNF_Gr8982933507515605408at_nat @ top_top_set_char @ F2 ) @ ( relcom8911704206367525917at_int @ P4 @ ( conver1866313717161370910at_nat @ ( bNF_Gr6591314147588017797at_nat @ top_top_set_int @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1092_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi2997284877290766385_nat_o
% 3.29/3.50      = ( ^ [F2: rat > product_prod_nat_nat,G3: int > product_prod_nat_nat,P4: product_prod_nat_nat > product_prod_nat_nat > $o] : ( relcom1211213461163567844at_int @ ( bNF_Gr6883301533820405721at_nat @ top_top_set_rat @ F2 ) @ ( relcom8911704206367525917at_int @ P4 @ ( conver1866313717161370910at_nat @ ( bNF_Gr6591314147588017797at_nat @ top_top_set_int @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1093_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi190728152058600505_nat_o
% 3.29/3.50      = ( ^ [F2: nat > product_prod_nat_nat,G3: int > product_prod_nat_nat,P4: product_prod_nat_nat > product_prod_nat_nat > $o] : ( relcom8569543703982574316at_int @ ( bNF_Gr3553472063123884001at_nat @ top_top_set_nat @ F2 ) @ ( relcom8911704206367525917at_int @ P4 @ ( conver1866313717161370910at_nat @ ( bNF_Gr6591314147588017797at_nat @ top_top_set_int @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1094_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi1204582724742824157_nat_o
% 3.29/3.50      = ( ^ [F2: int > product_prod_nat_nat,G3: int > product_prod_nat_nat,P4: product_prod_nat_nat > product_prod_nat_nat > $o] : ( relcom1106208330880909712at_int @ ( bNF_Gr6591314147588017797at_nat @ top_top_set_int @ F2 ) @ ( relcom8911704206367525917at_int @ P4 @ ( conver1866313717161370910at_nat @ ( bNF_Gr6591314147588017797at_nat @ top_top_set_int @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1095_vimage2p__Grp,axiom,
% 3.29/3.50      ( bNF_vi5202502398764838569_nat_o
% 3.29/3.50      = ( ^ [F2: list_nat > product_prod_nat_nat,G3: int > product_prod_nat_nat,P4: product_prod_nat_nat > product_prod_nat_nat > $o] : ( relcom170568170053003356at_int @ ( bNF_Gr4119388860389678161at_nat @ top_top_set_list_nat @ F2 ) @ ( relcom8911704206367525917at_int @ P4 @ ( conver1866313717161370910at_nat @ ( bNF_Gr6591314147588017797at_nat @ top_top_set_int @ G3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_Grp
% 3.29/3.50  thf(fact_1096_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o,A: char > nat,B: char > nat] :
% 3.29/3.50        ( ( bNF_re3734335887435638179at_nat
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: char > product_prod_nat_nat] :
% 3.29/3.50              ( ( member3295615932019376976at_nat @ Z4
% 3.29/3.50                @ ( collec1683818095804863890at_nat
% 3.29/3.50                  @ ^ [X4: char > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_8382823969816519465at_nat @ X4 @ top_top_set_char ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P1491501995297412481t_char @ product_fst_nat_nat @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P1491501995297412481t_char @ product_snd_nat_nat @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1097_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o,A: rat > nat,B: rat > nat] :
% 3.29/3.50        ( ( bNF_re6557955094579809201at_nat
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: rat > product_prod_nat_nat] :
% 3.29/3.50              ( ( member849810989832120969at_nat @ Z4
% 3.29/3.50                @ ( collec2824469931397938891at_nat
% 3.29/3.50                  @ ^ [X4: rat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_9175953278516507234at_nat @ X4 @ top_top_set_rat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P1320480151300532104at_rat @ product_fst_nat_nat @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P1320480151300532104at_rat @ product_snd_nat_nat @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1098_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o,A: nat > nat,B: nat > nat] :
% 3.29/3.50        ( ( bNF_re5653821019739307937at_nat
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: nat > product_prod_nat_nat] :
% 3.29/3.50              ( ( member6743353555990375057at_nat @ Z4
% 3.29/3.50                @ ( collec8718012497556192979at_nat
% 3.29/3.50                  @ ^ [X4: nat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ X4 @ top_top_set_nat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P1955610211387027840at_nat @ product_fst_nat_nat @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P1955610211387027840at_nat @ product_snd_nat_nat @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1099_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o,A: int > nat,B: int > nat] :
% 3.29/3.50        ( ( bNF_re3715656647883201625at_nat
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: int > product_prod_nat_nat] :
% 3.29/3.50              ( ( member557823603599733045at_nat @ Z4
% 3.29/3.50                @ ( collec2532482545165550967at_nat
% 3.29/3.50                  @ ^ [X4: int > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_8883965892284119310at_nat @ X4 @ top_top_set_int ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P1953119740877977564at_int @ product_fst_nat_nat @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P1953119740877977564at_int @ product_snd_nat_nat @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1100_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: num > num > $o,A: int > num,B: int > num] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: int > product_prod_num_num] :
% 3.29/3.50              ( ( member7514810323860029129um_num @ Z4
% 3.29/3.50                @ ( collec266097228571071243um_num
% 3.29/3.50                  @ ^ [X4: int > product_prod_num_num] : ( ord_le880128212290418581um_num @ ( image_7722540232540426402um_num @ X4 @ top_top_set_int ) @ ( collec2230928802738392704um_num @ ( produc5703948589228662326_num_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P4305060815297604026um_int @ product_fst_num_num @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P4305060815297604026um_int @ product_snd_num_num @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1101_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: int > int > $o,A: char > int,B: char > int] :
% 3.29/3.50        ( ( bNF_re4731199128827642459nt_int
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: char > product_prod_int_int] :
% 3.29/3.50              ( ( member2992454361780672008nt_int @ Z4
% 3.29/3.50                @ ( collec1380656525566158922nt_int
% 3.29/3.50                  @ ^ [X4: char > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5204326662208377313nt_int @ X4 @ top_top_set_char ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P4161745170962941589t_char @ product_fst_int_int @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P4161745170962941589t_char @ product_snd_int_int @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1102_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: int > int > $o,A: rat > int,B: rat > int] :
% 3.29/3.50        ( ( bNF_re7554818335971813481nt_int
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: rat > product_prod_int_int] :
% 3.29/3.50              ( ( member546649419593416001nt_int @ Z4
% 3.29/3.50                @ ( collec2521308361159233923nt_int
% 3.29/3.50                  @ ^ [X4: rat > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5997455970908365082nt_int @ X4 @ top_top_set_rat ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P6018825582104210588nt_rat @ product_fst_int_int @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P6018825582104210588nt_rat @ product_snd_int_int @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1103_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: int > int > $o,A: nat > int,B: nat > int] :
% 3.29/3.50        ( ( bNF_re6650684261131312217nt_int
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: nat > product_prod_int_int] :
% 3.29/3.50              ( ( member6440191985751670089nt_int @ Z4
% 3.29/3.50                @ ( collec8414850927317488011nt_int
% 3.29/3.50                  @ ^ [X4: nat > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_2667626500211843362nt_int @ X4 @ top_top_set_nat ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P6653955642190706324nt_nat @ product_fst_int_int @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P6653955642190706324nt_nat @ product_snd_int_int @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1104_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: int > int > $o,A: int > int,B: int > int] :
% 3.29/3.50        ( ( bNF_re4712519889275205905nt_int
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: int > product_prod_int_int] :
% 3.29/3.50              ( ( member254662033361028077nt_int @ Z4
% 3.29/3.50                @ ( collec2229320974926845999nt_int
% 3.29/3.50                  @ ^ [X4: int > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5705468584675977158nt_int @ X4 @ top_top_set_int ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P6651465171681656048nt_int @ product_fst_int_int @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P6651465171681656048nt_int @ product_snd_int_int @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1105_fun_Oin__rel,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o,A: list_nat > nat,B: list_nat > nat] :
% 3.29/3.50        ( ( bNF_re4629543205785817921at_nat
% 3.29/3.50          @ ^ [Y2: list_nat,Z: list_nat] : ( Y2 = Z )
% 3.29/3.50          @ R3
% 3.29/3.50          @ A
% 3.29/3.50          @ B )
% 3.29/3.50        = ( ? [Z4: list_nat > product_prod_nat_nat] :
% 3.29/3.50              ( ( member3963856813518191233at_nat @ Z4
% 3.29/3.50                @ ( collec3092956710985254339at_nat
% 3.29/3.50                  @ ^ [X4: list_nat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_2795870212791037530at_nat @ X4 @ top_top_set_list_nat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ) )
% 3.29/3.50              & ( ( comp_P5292260908303971472st_nat @ product_fst_nat_nat @ Z4 )
% 3.29/3.50                = A )
% 3.29/3.50              & ( ( comp_P5292260908303971472st_nat @ product_snd_nat_nat @ Z4 )
% 3.29/3.50                = B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.in_rel
% 3.29/3.50  thf(fact_1106_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: $o > $o] :
% 3.29/3.50        ( ( F = id_o )
% 3.29/3.50       => ( ( relcompp_o_o_o @ ( conversep_o_o @ ( bNF_Grp_o_o @ top_top_set_o @ F ) ) @ ( bNF_Grp_o_o @ top_top_set_o @ F ) )
% 3.29/3.50          = ( bNF_Grp_o_o @ top_top_set_o @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1107_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: num > num] :
% 3.29/3.50        ( ( F = id_num )
% 3.29/3.50       => ( ( relcompp_num_num_num @ ( conversep_num_num @ ( bNF_Grp_num_num @ top_top_set_num @ F ) ) @ ( bNF_Grp_num_num @ top_top_set_num @ F ) )
% 3.29/3.50          = ( bNF_Grp_num_num @ top_top_set_num @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1108_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: char > char] :
% 3.29/3.50        ( ( F = id_char )
% 3.29/3.50       => ( ( relcom5872928454965100966r_char @ ( conversep_char_char @ ( bNF_Grp_char_char @ top_top_set_char @ F ) ) @ ( bNF_Grp_char_char @ top_top_set_char @ F ) )
% 3.29/3.50          = ( bNF_Grp_char_char @ top_top_set_char @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1109_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: list_nat > list_nat] :
% 3.29/3.50        ( ( F = id_list_nat )
% 3.29/3.50       => ( ( relcom8030397737370142931st_nat @ ( conver909888920752868663st_nat @ ( bNF_Gr600725020315365264st_nat @ top_top_set_list_nat @ F ) ) @ ( bNF_Gr600725020315365264st_nat @ top_top_set_list_nat @ F ) )
% 3.29/3.50          = ( bNF_Gr600725020315365264st_nat @ top_top_set_list_nat @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1110_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: rat > rat] :
% 3.29/3.50        ( ( F = id_rat )
% 3.29/3.50       => ( ( relcompp_rat_rat_rat @ ( conversep_rat_rat @ ( bNF_Grp_rat_rat @ top_top_set_rat @ F ) ) @ ( bNF_Grp_rat_rat @ top_top_set_rat @ F ) )
% 3.29/3.50          = ( bNF_Grp_rat_rat @ top_top_set_rat @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1111_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: nat > nat] :
% 3.29/3.50        ( ( F = id_nat )
% 3.29/3.50       => ( ( relcompp_nat_nat_nat @ ( conversep_nat_nat @ ( bNF_Grp_nat_nat @ top_top_set_nat @ F ) ) @ ( bNF_Grp_nat_nat @ top_top_set_nat @ F ) )
% 3.29/3.50          = ( bNF_Grp_nat_nat @ top_top_set_nat @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1112_Grp__UNIV__id,axiom,
% 3.29/3.50      ! [F: int > int] :
% 3.29/3.50        ( ( F = id_int )
% 3.29/3.50       => ( ( relcompp_int_int_int @ ( conversep_int_int @ ( bNF_Grp_int_int @ top_top_set_int @ F ) ) @ ( bNF_Grp_int_int @ top_top_set_int @ F ) )
% 3.29/3.50          = ( bNF_Grp_int_int @ top_top_set_int @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_UNIV_id
% 3.29/3.50  thf(fact_1113_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: rat > rat,G: rat > rat] :
% 3.29/3.50        ( ( order_4774338944571509483at_rat @ F )
% 3.29/3.50       => ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.50            = top_top_set_rat )
% 3.29/3.50         => ( ! [X: rat] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_4774338944571509483at_rat @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1114_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: rat > nat,G: nat > rat] :
% 3.29/3.50        ( ( order_5409469004658005219at_nat @ F )
% 3.29/3.50       => ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.50            = top_top_set_nat )
% 3.29/3.50         => ( ! [X: rat] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_5090893588506375395at_rat @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1115_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: rat > int,G: int > rat] :
% 3.29/3.50        ( ( order_5406978534148954943at_int @ F )
% 3.29/3.50       => ( ( ( image_rat_int @ F @ top_top_set_rat )
% 3.29/3.50            = top_top_set_int )
% 3.29/3.50         => ( ! [X: rat] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_6090247300407429951nt_rat @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1116_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: nat > rat,G: rat > nat] :
% 3.29/3.50        ( ( order_5090893588506375395at_rat @ F )
% 3.29/3.50       => ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.50            = top_top_set_rat )
% 3.29/3.50         => ( ! [X: nat] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_5409469004658005219at_nat @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1117_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: nat > nat,G: nat > nat] :
% 3.29/3.50        ( ( order_5726023648592871131at_nat @ F )
% 3.29/3.50       => ( ( ( image_nat_nat @ F @ top_top_set_nat )
% 3.29/3.50            = top_top_set_nat )
% 3.29/3.50         => ( ! [X: nat] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_5726023648592871131at_nat @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1118_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: nat > int,G: int > nat] :
% 3.29/3.50        ( ( order_5723533178083820855at_int @ F )
% 3.29/3.50       => ( ( ( image_nat_int @ F @ top_top_set_nat )
% 3.29/3.50            = top_top_set_int )
% 3.29/3.50         => ( ! [X: nat] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_6725377360493925687nt_nat @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1119_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: int > rat,G: rat > int] :
% 3.29/3.50        ( ( order_6090247300407429951nt_rat @ F )
% 3.29/3.50       => ( ( ( image_int_rat @ F @ top_top_set_int )
% 3.29/3.50            = top_top_set_rat )
% 3.29/3.50         => ( ! [X: int] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_5406978534148954943at_int @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1120_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: int > nat,G: nat > int] :
% 3.29/3.50        ( ( order_6725377360493925687nt_nat @ F )
% 3.29/3.50       => ( ( ( image_int_nat @ F @ top_top_set_int )
% 3.29/3.50            = top_top_set_nat )
% 3.29/3.50         => ( ! [X: int] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_5723533178083820855at_int @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1121_strict__mono__inv,axiom,
% 3.29/3.50      ! [F: int > int,G: int > int] :
% 3.29/3.50        ( ( order_6722886889984875411nt_int @ F )
% 3.29/3.50       => ( ( ( image_int_int @ F @ top_top_set_int )
% 3.29/3.50            = top_top_set_int )
% 3.29/3.50         => ( ! [X: int] :
% 3.29/3.50                ( ( G @ ( F @ X ) )
% 3.29/3.50                = X )
% 3.29/3.50           => ( order_6722886889984875411nt_int @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % strict_mono_inv
% 3.29/3.50  thf(fact_1122_Id__on__Gr,axiom,
% 3.29/3.50      ( id_on_nat
% 3.29/3.50      = ( ^ [A6: set_nat] : ( bNF_Gr_nat_nat @ A6 @ id_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_Gr
% 3.29/3.50  thf(fact_1123_Id__on__Gr,axiom,
% 3.29/3.50      ( id_on_o
% 3.29/3.50      = ( ^ [A6: set_o] : ( bNF_Gr_o_o @ A6 @ id_o ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_Gr
% 3.29/3.50  thf(fact_1124_Id__on__Gr,axiom,
% 3.29/3.50      ( id_on_num
% 3.29/3.50      = ( ^ [A6: set_num] : ( bNF_Gr_num_num @ A6 @ id_num ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_Gr
% 3.29/3.50  thf(fact_1125_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,M: $o > $o] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M = id_o )
% 3.29/3.50         => ( ( comp_o_nat_nat @ ( comp_o_nat_o @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1126_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,M: $o > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M = id_o )
% 3.29/3.50         => ( ( comp_o_o_o @ ( comp_o_o_o @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_o ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1127_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: num > $o,Abs: $o > num,M: $o > $o] :
% 3.29/3.50        ( ( type_d9070036042389994064_num_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M = id_o )
% 3.29/3.50         => ( ( comp_o_num_num @ ( comp_o_num_o @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_num ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1128_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: nat > num,Abs: num > nat,M: num > num] :
% 3.29/3.50        ( ( type_d2807825734933527320at_num @ Rep @ Abs @ top_top_set_num )
% 3.29/3.50       => ( ( M = id_num )
% 3.29/3.50         => ( ( comp_num_nat_nat @ ( comp_num_nat_num @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1129_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: $o > num,Abs: num > $o,M: num > num] :
% 3.29/3.50        ( ( type_d3678713432601627782_o_num @ Rep @ Abs @ top_top_set_num )
% 3.29/3.50       => ( ( M = id_num )
% 3.29/3.50         => ( ( comp_num_o_o @ ( comp_num_o_num @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_o ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1130_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: num > num,Abs: num > num,M: num > num] :
% 3.29/3.50        ( ( type_d938156138240996706um_num @ Rep @ Abs @ top_top_set_num )
% 3.29/3.50       => ( ( M = id_num )
% 3.29/3.50         => ( ( comp_num_num_num @ ( comp_num_num_num @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_num ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1131_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,M: char > char] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( M = id_char )
% 3.29/3.50         => ( ( comp_char_nat_nat @ ( comp_char_nat_char @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1132_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: $o > char,Abs: char > $o,M: char > char] :
% 3.29/3.50        ( ( type_d9076672964931703357o_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( M = id_char )
% 3.29/3.50         => ( ( comp_char_o_o @ ( comp_char_o_char @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_o ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1133_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: num > char,Abs: char > num,M: char > char] :
% 3.29/3.50        ( ( type_d4396077731765706521m_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( M = id_char )
% 3.29/3.50         => ( ( comp_char_num_num @ ( comp_char_num_char @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_num ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1134_type__copy__map__id0,axiom,
% 3.29/3.50      ! [Rep: nat > rat,Abs: rat > nat,M: rat > rat] :
% 3.29/3.50        ( ( type_d5615363888691252950at_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( M = id_rat )
% 3.29/3.50         => ( ( comp_rat_nat_nat @ ( comp_rat_nat_rat @ Abs @ M ) @ Rep )
% 3.29/3.50            = id_nat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_id0
% 3.29/3.50  thf(fact_1135_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( comp_char_nat_nat @ Abs @ Rep )
% 3.29/3.50          = id_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1136_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: $o > char,Abs: char > $o] :
% 3.29/3.50        ( ( type_d9076672964931703357o_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( comp_char_o_o @ Abs @ Rep )
% 3.29/3.50          = id_o ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1137_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: num > char,Abs: char > num] :
% 3.29/3.50        ( ( type_d4396077731765706521m_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( comp_char_num_num @ Abs @ Rep )
% 3.29/3.50          = id_num ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1138_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > rat,Abs: rat > nat] :
% 3.29/3.50        ( ( type_d5615363888691252950at_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( comp_rat_nat_nat @ Abs @ Rep )
% 3.29/3.50          = id_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1139_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: $o > rat,Abs: rat > $o] :
% 3.29/3.50        ( ( type_d6486251586359353412_o_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( comp_rat_o_o @ Abs @ Rep )
% 3.29/3.50          = id_o ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1140_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: num > rat,Abs: rat > num] :
% 3.29/3.50        ( ( type_d3745694291998722336um_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( comp_rat_num_num @ Abs @ Rep )
% 3.29/3.50          = id_num ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1141_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: $o > nat,Abs: nat > $o] :
% 3.29/3.50        ( ( type_d7121381646445849148_o_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( comp_nat_o_o @ Abs @ Rep )
% 3.29/3.50          = id_o ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1142_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: num > nat,Abs: nat > num] :
% 3.29/3.50        ( ( type_d4380824352085218072um_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( comp_nat_num_num @ Abs @ Rep )
% 3.29/3.50          = id_num ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1143_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > nat,Abs: nat > nat] :
% 3.29/3.50        ( ( type_d6250493948777748686at_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( comp_nat_nat_nat @ Abs @ Rep )
% 3.29/3.50          = id_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1144_type__copy__Abs__o__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > int,Abs: int > nat] :
% 3.29/3.50        ( ( type_d6248003478268698410at_int @ Rep @ Abs @ top_top_set_int )
% 3.29/3.50       => ( ( comp_int_nat_nat @ Abs @ Rep )
% 3.29/3.50          = id_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Abs_o_Rep
% 3.29/3.50  thf(fact_1145_type__copy__Rep__o__Abs,axiom,
% 3.29/3.50      ! [Rep: nat > nat,Abs: nat > nat] :
% 3.29/3.50        ( ( type_d6250493948777748686at_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( comp_nat_nat_nat @ Rep @ Abs )
% 3.29/3.50          = id_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Rep_o_Abs
% 3.29/3.50  thf(fact_1146_type__copy__Rep__o__Abs,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( comp_P5156358013004227690it_o_o @ Rep @ Abs )
% 3.29/3.50          = id_o ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_Rep_o_Abs
% 3.29/3.50  thf(fact_1147_case__prodI2_H,axiom,
% 3.29/3.50      ! [P: product_prod_nat_nat,C: nat > nat > product_prod_nat_nat > $o,X2: product_prod_nat_nat] :
% 3.29/3.50        ( ! [A3: nat,B3: nat] :
% 3.29/3.50            ( ( ( product_Pair_nat_nat @ A3 @ B3 )
% 3.29/3.50              = P )
% 3.29/3.50           => ( C @ A3 @ B3 @ X2 ) )
% 3.29/3.50       => ( produc8739625826339149834_nat_o @ C @ P @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI2'
% 3.29/3.50  thf(fact_1148_image__ident,axiom,
% 3.29/3.50      ! [Y4: set_nat] :
% 3.29/3.50        ( ( image_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : X4
% 3.29/3.50          @ Y4 )
% 3.29/3.50        = Y4 ) ).
% 3.29/3.50  
% 3.29/3.50  % image_ident
% 3.29/3.50  thf(fact_1149_image__ident,axiom,
% 3.29/3.50      ! [Y4: set_int] :
% 3.29/3.50        ( ( image_int_int
% 3.29/3.50          @ ^ [X4: int] : X4
% 3.29/3.50          @ Y4 )
% 3.29/3.50        = Y4 ) ).
% 3.29/3.50  
% 3.29/3.50  % image_ident
% 3.29/3.50  thf(fact_1150_split__part,axiom,
% 3.29/3.50      ! [P2: $o,Q2: int > int > $o] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [A5: int,B4: int] :
% 3.29/3.50              ( P2
% 3.29/3.50              & ( Q2 @ A5 @ B4 ) ) )
% 3.29/3.50        = ( ^ [Ab: product_prod_int_int] :
% 3.29/3.50              ( P2
% 3.29/3.50              & ( produc4947309494688390418_int_o @ Q2 @ Ab ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % split_part
% 3.29/3.50  thf(fact_1151_Id__onI,axiom,
% 3.29/3.50      ! [A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.50       => ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ A @ A ) @ ( id_on_7869290023980668164at_nat @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1152_Id__onI,axiom,
% 3.29/3.50      ! [A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.50       => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ A ) @ ( id_on_2554058798563519774at_nat @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1153_Id__onI,axiom,
% 3.29/3.50      ! [A: $o,A4: set_o] :
% 3.29/3.50        ( ( member_o @ A @ A4 )
% 3.29/3.50       => ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ A ) @ ( id_on_o @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1154_Id__onI,axiom,
% 3.29/3.50      ! [A: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( member6273874620674182256at_nat @ A @ A4 )
% 3.29/3.50       => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ A ) @ ( id_on_3275838214495744996at_nat @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1155_Id__onI,axiom,
% 3.29/3.50      ! [A: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( member2643936169264416010at_nat @ A @ A4 )
% 3.29/3.50       => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ A ) @ ( id_on_6713504163309144702at_nat @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1156_Id__onI,axiom,
% 3.29/3.50      ! [A: nat,A4: set_nat] :
% 3.29/3.50        ( ( member_nat @ A @ A4 )
% 3.29/3.50       => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ A ) @ ( id_on_nat @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1157_Id__onI,axiom,
% 3.29/3.50      ! [A: int,A4: set_int] :
% 3.29/3.50        ( ( member_int @ A @ A4 )
% 3.29/3.50       => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ A ) @ ( id_on_int @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onI
% 3.29/3.50  thf(fact_1158_case__prod__conv,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,A: nat,B: nat] :
% 3.29/3.50        ( ( produc27273713700761075at_nat @ F @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.50        = ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_conv
% 3.29/3.50  thf(fact_1159_case__prod__conv,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > $o,A: nat,B: nat] :
% 3.29/3.50        ( ( produc8739625826339149834_nat_o @ F @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.50        = ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_conv
% 3.29/3.50  thf(fact_1160_case__prod__conv,axiom,
% 3.29/3.50      ! [F: int > int > product_prod_int_int,A: int,B: int] :
% 3.29/3.50        ( ( produc4245557441103728435nt_int @ F @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.50        = ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_conv
% 3.29/3.50  thf(fact_1161_case__prod__conv,axiom,
% 3.29/3.50      ! [F: int > int > $o,A: int,B: int] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o @ F @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.50        = ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_conv
% 3.29/3.50  thf(fact_1162_case__prod__conv,axiom,
% 3.29/3.50      ! [F: int > int > int,A: int,B: int] :
% 3.29/3.50        ( ( produc8211389475949308722nt_int @ F @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.50        = ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_conv
% 3.29/3.50  thf(fact_1163_case__prodI,axiom,
% 3.29/3.50      ! [F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( F @ A @ B )
% 3.29/3.50       => ( produc9020218426428501292_nat_o @ F @ ( produc9060074326276436823at_nat @ A @ B ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI
% 3.29/3.50  thf(fact_1164_case__prodI,axiom,
% 3.29/3.50      ! [F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( F @ A @ B )
% 3.29/3.50       => ( produc410239310623530412_nat_o @ F @ ( produc2922128104949294807at_nat @ A @ B ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI
% 3.29/3.50  thf(fact_1165_case__prodI,axiom,
% 3.29/3.50      ! [F: nat > num > $o,A: nat,B: num] :
% 3.29/3.50        ( ( F @ A @ B )
% 3.29/3.50       => ( produc4927758841916487424_num_o @ F @ ( product_Pair_nat_num @ A @ B ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI
% 3.29/3.50  thf(fact_1166_case__prodI,axiom,
% 3.29/3.50      ! [F: nat > nat > $o,A: nat,B: nat] :
% 3.29/3.50        ( ( F @ A @ B )
% 3.29/3.50       => ( produc6081775807080527818_nat_o @ F @ ( product_Pair_nat_nat @ A @ B ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI
% 3.29/3.50  thf(fact_1167_case__prodI,axiom,
% 3.29/3.50      ! [F: int > int > $o,A: int,B: int] :
% 3.29/3.50        ( ( F @ A @ B )
% 3.29/3.50       => ( produc4947309494688390418_int_o @ F @ ( product_Pair_int_int @ A @ B ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI
% 3.29/3.50  thf(fact_1168_case__prodI2,axiom,
% 3.29/3.50      ! [P: produc1319942482725812455at_nat,C: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o] :
% 3.29/3.50        ( ! [A3: set_Pr4329608150637261639at_nat,B3: set_Pr4329608150637261639at_nat] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( produc9060074326276436823at_nat @ A3 @ B3 ) )
% 3.29/3.50           => ( C @ A3 @ B3 ) )
% 3.29/3.50       => ( produc9020218426428501292_nat_o @ C @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI2
% 3.29/3.50  thf(fact_1169_case__prodI2,axiom,
% 3.29/3.50      ! [P: produc3843707927480180839at_nat,C: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.50        ( ! [A3: set_Pr1261947904930325089at_nat,B3: set_Pr1261947904930325089at_nat] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( produc2922128104949294807at_nat @ A3 @ B3 ) )
% 3.29/3.50           => ( C @ A3 @ B3 ) )
% 3.29/3.50       => ( produc410239310623530412_nat_o @ C @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI2
% 3.29/3.50  thf(fact_1170_case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_num,C: nat > num > $o] :
% 3.29/3.50        ( ! [A3: nat,B3: num] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_num @ A3 @ B3 ) )
% 3.29/3.50           => ( C @ A3 @ B3 ) )
% 3.29/3.50       => ( produc4927758841916487424_num_o @ C @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI2
% 3.29/3.50  thf(fact_1171_case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_nat,C: nat > nat > $o] :
% 3.29/3.50        ( ! [A3: nat,B3: nat] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_nat @ A3 @ B3 ) )
% 3.29/3.50           => ( C @ A3 @ B3 ) )
% 3.29/3.50       => ( produc6081775807080527818_nat_o @ C @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI2
% 3.29/3.50  thf(fact_1172_case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_int_int,C: int > int > $o] :
% 3.29/3.50        ( ! [A3: int,B3: int] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_int_int @ A3 @ B3 ) )
% 3.29/3.50           => ( C @ A3 @ B3 ) )
% 3.29/3.50       => ( produc4947309494688390418_int_o @ C @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodI2
% 3.29/3.50  thf(fact_1173_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: $o,C: nat > num > set_o,A: nat,B: num] :
% 3.29/3.50        ( ( member_o @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_o @ Z2 @ ( produc836176033315069408_set_o @ C @ ( product_Pair_nat_num @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1174_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: nat,C: nat > num > set_nat,A: nat,B: num] :
% 3.29/3.50        ( ( member_nat @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_nat @ Z2 @ ( produc4130284055270567454et_nat @ C @ ( product_Pair_nat_num @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1175_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: int,C: nat > num > set_int,A: nat,B: num] :
% 3.29/3.50        ( ( member_int @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_int @ Z2 @ ( produc9175805072616146554et_int @ C @ ( product_Pair_nat_num @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1176_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: $o,C: nat > nat > set_o,A: nat,B: nat] :
% 3.29/3.50        ( ( member_o @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_o @ Z2 @ ( produc59986286002894506_set_o @ C @ ( product_Pair_nat_nat @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1177_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: nat,C: nat > nat > set_nat,A: nat,B: nat] :
% 3.29/3.50        ( ( member_nat @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_nat @ Z2 @ ( produc6189476227299908564et_nat @ C @ ( product_Pair_nat_nat @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1178_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: int,C: nat > nat > set_int,A: nat,B: nat] :
% 3.29/3.50        ( ( member_int @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_int @ Z2 @ ( produc2011625207790711856et_int @ C @ ( product_Pair_nat_nat @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1179_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: $o,C: int > int > set_o,A: int,B: int] :
% 3.29/3.50        ( ( member_o @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_o @ Z2 @ ( produc4257766111578684402_set_o @ C @ ( product_Pair_int_int @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1180_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: nat,C: int > int > set_nat,A: int,B: int] :
% 3.29/3.50        ( ( member_nat @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_nat @ Z2 @ ( produc4251311855443802252et_nat @ C @ ( product_Pair_int_int @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1181_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: int,C: int > int > set_int,A: int,B: int] :
% 3.29/3.50        ( ( member_int @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member_int @ Z2 @ ( produc73460835934605544et_int @ C @ ( product_Pair_int_int @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1182_mem__case__prodI,axiom,
% 3.29/3.50      ! [Z2: product_prod_nat_nat,C: nat > num > set_Pr1261947904930325089at_nat,A: nat,B: num] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ Z2 @ ( C @ A @ B ) )
% 3.29/3.50       => ( member8440522571783428010at_nat @ Z2 @ ( produc859037500352796105at_nat @ C @ ( product_Pair_nat_num @ A @ B ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI
% 3.29/3.50  thf(fact_1183_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_num,Z2: $o,C: nat > num > set_o] :
% 3.29/3.50        ( ! [A3: nat,B3: num] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_num @ A3 @ B3 ) )
% 3.29/3.50           => ( member_o @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_o @ Z2 @ ( produc836176033315069408_set_o @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1184_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_num,Z2: nat,C: nat > num > set_nat] :
% 3.29/3.50        ( ! [A3: nat,B3: num] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_num @ A3 @ B3 ) )
% 3.29/3.50           => ( member_nat @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_nat @ Z2 @ ( produc4130284055270567454et_nat @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1185_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_num,Z2: int,C: nat > num > set_int] :
% 3.29/3.50        ( ! [A3: nat,B3: num] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_num @ A3 @ B3 ) )
% 3.29/3.50           => ( member_int @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_int @ Z2 @ ( produc9175805072616146554et_int @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1186_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_nat,Z2: $o,C: nat > nat > set_o] :
% 3.29/3.50        ( ! [A3: nat,B3: nat] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_nat @ A3 @ B3 ) )
% 3.29/3.50           => ( member_o @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_o @ Z2 @ ( produc59986286002894506_set_o @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1187_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_nat,Z2: nat,C: nat > nat > set_nat] :
% 3.29/3.50        ( ! [A3: nat,B3: nat] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_nat @ A3 @ B3 ) )
% 3.29/3.50           => ( member_nat @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_nat @ Z2 @ ( produc6189476227299908564et_nat @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1188_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_nat,Z2: int,C: nat > nat > set_int] :
% 3.29/3.50        ( ! [A3: nat,B3: nat] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_nat @ A3 @ B3 ) )
% 3.29/3.50           => ( member_int @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_int @ Z2 @ ( produc2011625207790711856et_int @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1189_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_int_int,Z2: $o,C: int > int > set_o] :
% 3.29/3.50        ( ! [A3: int,B3: int] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_int_int @ A3 @ B3 ) )
% 3.29/3.50           => ( member_o @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_o @ Z2 @ ( produc4257766111578684402_set_o @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1190_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_int_int,Z2: nat,C: int > int > set_nat] :
% 3.29/3.50        ( ! [A3: int,B3: int] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_int_int @ A3 @ B3 ) )
% 3.29/3.50           => ( member_nat @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_nat @ Z2 @ ( produc4251311855443802252et_nat @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1191_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_int_int,Z2: int,C: int > int > set_int] :
% 3.29/3.50        ( ! [A3: int,B3: int] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_int_int @ A3 @ B3 ) )
% 3.29/3.50           => ( member_int @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member_int @ Z2 @ ( produc73460835934605544et_int @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1192_mem__case__prodI2,axiom,
% 3.29/3.50      ! [P: product_prod_nat_num,Z2: product_prod_nat_nat,C: nat > num > set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ! [A3: nat,B3: num] :
% 3.29/3.50            ( ( P
% 3.29/3.50              = ( product_Pair_nat_num @ A3 @ B3 ) )
% 3.29/3.50           => ( member8440522571783428010at_nat @ Z2 @ ( C @ A3 @ B3 ) ) )
% 3.29/3.50       => ( member8440522571783428010at_nat @ Z2 @ ( produc859037500352796105at_nat @ C @ P ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_case_prodI2
% 3.29/3.50  thf(fact_1193_case__swap,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,P: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc27273713700761075at_nat
% 3.29/3.50          @ ^ [Y5: nat,X4: nat] : ( F @ X4 @ Y5 )
% 3.29/3.50          @ ( product_swap_nat_nat @ P ) )
% 3.29/3.50        = ( produc27273713700761075at_nat @ F @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_swap
% 3.29/3.50  thf(fact_1194_case__swap,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > $o,P: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc8739625826339149834_nat_o
% 3.29/3.50          @ ^ [Y5: nat,X4: nat] : ( F @ X4 @ Y5 )
% 3.29/3.50          @ ( product_swap_nat_nat @ P ) )
% 3.29/3.50        = ( produc8739625826339149834_nat_o @ F @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_swap
% 3.29/3.50  thf(fact_1195_case__swap,axiom,
% 3.29/3.50      ! [F: int > int > product_prod_int_int,P: product_prod_int_int] :
% 3.29/3.50        ( ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [Y5: int,X4: int] : ( F @ X4 @ Y5 )
% 3.29/3.50          @ ( product_swap_int_int @ P ) )
% 3.29/3.50        = ( produc4245557441103728435nt_int @ F @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_swap
% 3.29/3.50  thf(fact_1196_case__swap,axiom,
% 3.29/3.50      ! [F: int > int > $o,P: product_prod_int_int] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [Y5: int,X4: int] : ( F @ X4 @ Y5 )
% 3.29/3.50          @ ( product_swap_int_int @ P ) )
% 3.29/3.50        = ( produc4947309494688390418_int_o @ F @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_swap
% 3.29/3.50  thf(fact_1197_case__swap,axiom,
% 3.29/3.50      ! [F: int > int > int,P: product_prod_int_int] :
% 3.29/3.50        ( ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [Y5: int,X4: int] : ( F @ X4 @ Y5 )
% 3.29/3.50          @ ( product_swap_int_int @ P ) )
% 3.29/3.50        = ( produc8211389475949308722nt_int @ F @ P ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_swap
% 3.29/3.50  thf(fact_1198_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_Pr6200539531224447659at_num,F: nat > num > $o] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_o @ ( F @ A @ B ) @ ( image_4451812852358507538_num_o @ ( produc4927758841916487424_num_o @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1199_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_Pr6200539531224447659at_num,F: nat > num > nat] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_nat @ ( F @ A @ B ) @ ( image_4504471508743443926um_nat @ ( produc4973203077627929192um_nat @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1200_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_Pr6200539531224447659at_num,F: nat > num > int] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_int @ ( F @ A @ B ) @ ( image_4501981038234393650um_int @ ( produc4970712607118878916um_int @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1201_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_Pr1261947904930325089at_nat,F: nat > nat > $o] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_o @ ( F @ A @ B ) @ ( image_3693632289388996572_nat_o @ ( produc6081775807080527818_nat_o @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1202_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_Pr1261947904930325089at_nat,F: nat > nat > nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_nat @ ( F @ A @ B ) @ ( image_2486076414777270412at_nat @ ( produc6842872674320459806at_nat @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1203_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_Pr1261947904930325089at_nat,F: nat > nat > int] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_int @ ( F @ A @ B ) @ ( image_2483585944268220136at_int @ ( produc6840382203811409530at_int @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1204_pair__imageI,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_Pr958786334691620121nt_int,F: int > int > nat] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_nat @ ( F @ A @ B ) @ ( image_5044651549707136836nt_nat @ ( produc8213879946458358998nt_nat @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1205_pair__imageI,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_Pr958786334691620121nt_int,F: int > int > $o] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_o @ ( F @ A @ B ) @ ( image_2135063354759101220_int_o @ ( produc4947309494688390418_int_o @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1206_pair__imageI,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_Pr958786334691620121nt_int,F: int > int > int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ A4 )
% 3.29/3.50       => ( member_int @ ( F @ A @ B ) @ ( image_5042161079198086560nt_int @ ( produc8211389475949308722nt_int @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1207_pair__imageI,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_Pr6200539531224447659at_num,F: nat > num > product_prod_nat_nat] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ A4 )
% 3.29/3.50       => ( member8440522571783428010at_nat @ ( F @ A @ B ) @ ( image_4217639968629731195at_nat @ ( produc8564434177180591209at_nat @ F ) @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pair_imageI
% 3.29/3.50  thf(fact_1208_Inf_OINF__identity__eq,axiom,
% 3.29/3.50      ! [Inf: set_nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( Inf
% 3.29/3.50          @ ( image_nat_nat
% 3.29/3.50            @ ^ [X4: nat] : X4
% 3.29/3.50            @ A4 ) )
% 3.29/3.50        = ( Inf @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Inf.INF_identity_eq
% 3.29/3.50  thf(fact_1209_Inf_OINF__identity__eq,axiom,
% 3.29/3.50      ! [Inf: set_int > int,A4: set_int] :
% 3.29/3.50        ( ( Inf
% 3.29/3.50          @ ( image_int_int
% 3.29/3.50            @ ^ [X4: int] : X4
% 3.29/3.50            @ A4 ) )
% 3.29/3.50        = ( Inf @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Inf.INF_identity_eq
% 3.29/3.50  thf(fact_1210_Sup_OSUP__identity__eq,axiom,
% 3.29/3.50      ! [Sup: set_nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( Sup
% 3.29/3.50          @ ( image_nat_nat
% 3.29/3.50            @ ^ [X4: nat] : X4
% 3.29/3.50            @ A4 ) )
% 3.29/3.50        = ( Sup @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Sup.SUP_identity_eq
% 3.29/3.50  thf(fact_1211_Sup_OSUP__identity__eq,axiom,
% 3.29/3.50      ! [Sup: set_int > int,A4: set_int] :
% 3.29/3.50        ( ( Sup
% 3.29/3.50          @ ( image_int_int
% 3.29/3.50            @ ^ [X4: int] : X4
% 3.29/3.50            @ A4 ) )
% 3.29/3.50        = ( Sup @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Sup.SUP_identity_eq
% 3.29/3.50  thf(fact_1212_imageE,axiom,
% 3.29/3.50      ! [B: rat,F: nat > rat,A4: set_nat] :
% 3.29/3.50        ( ( member_rat @ B @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_nat @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1213_imageE,axiom,
% 3.29/3.50      ! [B: $o,F: $o > $o,A4: set_o] :
% 3.29/3.50        ( ( member_o @ B @ ( image_o_o @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_o @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1214_imageE,axiom,
% 3.29/3.50      ! [B: $o,F: nat > $o,A4: set_nat] :
% 3.29/3.50        ( ( member_o @ B @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_nat @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1215_imageE,axiom,
% 3.29/3.50      ! [B: $o,F: int > $o,A4: set_int] :
% 3.29/3.50        ( ( member_o @ B @ ( image_int_o @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_int @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1216_imageE,axiom,
% 3.29/3.50      ! [B: nat,F: $o > nat,A4: set_o] :
% 3.29/3.50        ( ( member_nat @ B @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_o @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1217_imageE,axiom,
% 3.29/3.50      ! [B: nat,F: nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( member_nat @ B @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_nat @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1218_imageE,axiom,
% 3.29/3.50      ! [B: nat,F: int > nat,A4: set_int] :
% 3.29/3.50        ( ( member_nat @ B @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_int @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1219_imageE,axiom,
% 3.29/3.50      ! [B: int,F: $o > int,A4: set_o] :
% 3.29/3.50        ( ( member_int @ B @ ( image_o_int @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_o @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1220_imageE,axiom,
% 3.29/3.50      ! [B: int,F: nat > int,A4: set_nat] :
% 3.29/3.50        ( ( member_int @ B @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_nat @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1221_imageE,axiom,
% 3.29/3.50      ! [B: int,F: int > int,A4: set_int] :
% 3.29/3.50        ( ( member_int @ B @ ( image_int_int @ F @ A4 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( B
% 3.29/3.50                = ( F @ X ) )
% 3.29/3.50             => ~ ( member_int @ X @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % imageE
% 3.29/3.50  thf(fact_1222_image__image,axiom,
% 3.29/3.50      ! [F: rat > rat,G: nat > rat,A4: set_nat] :
% 3.29/3.50        ( ( image_rat_rat @ F @ ( image_nat_rat @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_rat
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1223_image__image,axiom,
% 3.29/3.50      ! [F: rat > nat,G: nat > rat,A4: set_nat] :
% 3.29/3.50        ( ( image_rat_nat @ F @ ( image_nat_rat @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1224_image__image,axiom,
% 3.29/3.50      ! [F: rat > int,G: nat > rat,A4: set_nat] :
% 3.29/3.50        ( ( image_rat_int @ F @ ( image_nat_rat @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_int
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1225_image__image,axiom,
% 3.29/3.50      ! [F: int > rat,G: nat > int,A4: set_nat] :
% 3.29/3.50        ( ( image_int_rat @ F @ ( image_nat_int @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_rat
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1226_image__image,axiom,
% 3.29/3.50      ! [F: nat > rat,G: nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( image_nat_rat @ F @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_rat
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1227_image__image,axiom,
% 3.29/3.50      ! [F: nat > rat,G: int > nat,A4: set_int] :
% 3.29/3.50        ( ( image_nat_rat @ F @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.50        = ( image_int_rat
% 3.29/3.50          @ ^ [X4: int] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1228_image__image,axiom,
% 3.29/3.50      ! [F: nat > nat,G: nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( image_nat_nat @ F @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1229_image__image,axiom,
% 3.29/3.50      ! [F: nat > nat,G: int > nat,A4: set_int] :
% 3.29/3.50        ( ( image_nat_nat @ F @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.50        = ( image_int_nat
% 3.29/3.50          @ ^ [X4: int] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1230_image__image,axiom,
% 3.29/3.50      ! [F: nat > int,G: nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( image_nat_int @ F @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.50        = ( image_nat_int
% 3.29/3.50          @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1231_image__image,axiom,
% 3.29/3.50      ! [F: nat > int,G: int > nat,A4: set_int] :
% 3.29/3.50        ( ( image_nat_int @ F @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.50        = ( image_int_int
% 3.29/3.50          @ ^ [X4: int] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_image
% 3.29/3.50  thf(fact_1232_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: $o > $o,A4: set_o,P2: $o > $o] :
% 3.29/3.50        ( ( collect_o
% 3.29/3.50          @ ^ [X4: $o] :
% 3.29/3.50              ( ( member_o @ X4 @ ( image_o_o @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_o_o @ F
% 3.29/3.50          @ ( collect_o
% 3.29/3.50            @ ^ [X4: $o] :
% 3.29/3.50                ( ( member_o @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1233_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: int > $o,A4: set_int,P2: $o > $o] :
% 3.29/3.50        ( ( collect_o
% 3.29/3.50          @ ^ [X4: $o] :
% 3.29/3.50              ( ( member_o @ X4 @ ( image_int_o @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_int_o @ F
% 3.29/3.50          @ ( collect_int
% 3.29/3.50            @ ^ [X4: int] :
% 3.29/3.50                ( ( member_int @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1234_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: $o > int,A4: set_o,P2: int > $o] :
% 3.29/3.50        ( ( collect_int
% 3.29/3.50          @ ^ [X4: int] :
% 3.29/3.50              ( ( member_int @ X4 @ ( image_o_int @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_o_int @ F
% 3.29/3.50          @ ( collect_o
% 3.29/3.50            @ ^ [X4: $o] :
% 3.29/3.50                ( ( member_o @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1235_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: int > int,A4: set_int,P2: int > $o] :
% 3.29/3.50        ( ( collect_int
% 3.29/3.50          @ ^ [X4: int] :
% 3.29/3.50              ( ( member_int @ X4 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_int_int @ F
% 3.29/3.50          @ ( collect_int
% 3.29/3.50            @ ^ [X4: int] :
% 3.29/3.50                ( ( member_int @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1236_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: nat > rat,A4: set_nat,P2: rat > $o] :
% 3.29/3.50        ( ( collect_rat
% 3.29/3.50          @ ^ [X4: rat] :
% 3.29/3.50              ( ( member_rat @ X4 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_nat_rat @ F
% 3.29/3.50          @ ( collect_nat
% 3.29/3.50            @ ^ [X4: nat] :
% 3.29/3.50                ( ( member_nat @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1237_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: nat > $o,A4: set_nat,P2: $o > $o] :
% 3.29/3.50        ( ( collect_o
% 3.29/3.50          @ ^ [X4: $o] :
% 3.29/3.50              ( ( member_o @ X4 @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_nat_o @ F
% 3.29/3.50          @ ( collect_nat
% 3.29/3.50            @ ^ [X4: nat] :
% 3.29/3.50                ( ( member_nat @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1238_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: nat > int,A4: set_nat,P2: int > $o] :
% 3.29/3.50        ( ( collect_int
% 3.29/3.50          @ ^ [X4: int] :
% 3.29/3.50              ( ( member_int @ X4 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_nat_int @ F
% 3.29/3.50          @ ( collect_nat
% 3.29/3.50            @ ^ [X4: nat] :
% 3.29/3.50                ( ( member_nat @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1239_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: $o > nat,A4: set_o,P2: nat > $o] :
% 3.29/3.50        ( ( collect_nat
% 3.29/3.50          @ ^ [X4: nat] :
% 3.29/3.50              ( ( member_nat @ X4 @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_o_nat @ F
% 3.29/3.50          @ ( collect_o
% 3.29/3.50            @ ^ [X4: $o] :
% 3.29/3.50                ( ( member_o @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1240_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: int > nat,A4: set_int,P2: nat > $o] :
% 3.29/3.50        ( ( collect_nat
% 3.29/3.50          @ ^ [X4: nat] :
% 3.29/3.50              ( ( member_nat @ X4 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_int_nat @ F
% 3.29/3.50          @ ( collect_int
% 3.29/3.50            @ ^ [X4: int] :
% 3.29/3.50                ( ( member_int @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1241_Compr__image__eq,axiom,
% 3.29/3.50      ! [F: nat > nat,A4: set_nat,P2: nat > $o] :
% 3.29/3.50        ( ( collect_nat
% 3.29/3.50          @ ^ [X4: nat] :
% 3.29/3.50              ( ( member_nat @ X4 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        = ( image_nat_nat @ F
% 3.29/3.50          @ ( collect_nat
% 3.29/3.50            @ ^ [X4: nat] :
% 3.29/3.50                ( ( member_nat @ X4 @ A4 )
% 3.29/3.50                & ( P2 @ ( F @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Compr_image_eq
% 3.29/3.50  thf(fact_1242_Id__on__def_H,axiom,
% 3.29/3.50      ! [A4: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( id_on_2554058798563519774at_nat @ ( collec3392354462482085612at_nat @ A4 ) )
% 3.29/3.50        = ( collec7088162979684241874at_nat
% 3.29/3.50          @ ( produc6590410687421337004_nat_o
% 3.29/3.50            @ ^ [X4: product_prod_nat_nat,Y5: product_prod_nat_nat] :
% 3.29/3.50                ( ( X4 = Y5 )
% 3.29/3.50                & ( A4 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_def'
% 3.29/3.50  thf(fact_1243_Id__on__def_H,axiom,
% 3.29/3.50      ! [A4: nat > $o] :
% 3.29/3.50        ( ( id_on_nat @ ( collect_nat @ A4 ) )
% 3.29/3.50        = ( collec3392354462482085612at_nat
% 3.29/3.50          @ ( produc6081775807080527818_nat_o
% 3.29/3.50            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.50                ( ( X4 = Y5 )
% 3.29/3.50                & ( A4 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_def'
% 3.29/3.50  thf(fact_1244_Id__on__def_H,axiom,
% 3.29/3.50      ! [A4: product_prod_int_int > $o] :
% 3.29/3.50        ( ( id_on_8598933527810153430nt_int @ ( collec213857154873943460nt_int @ A4 ) )
% 3.29/3.50        = ( collec7447955092554649554nt_int
% 3.29/3.50          @ ( produc1676490119946744748_int_o
% 3.29/3.50            @ ^ [X4: product_prod_int_int,Y5: product_prod_int_int] :
% 3.29/3.50                ( ( X4 = Y5 )
% 3.29/3.50                & ( A4 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_def'
% 3.29/3.50  thf(fact_1245_Id__on__def_H,axiom,
% 3.29/3.50      ! [A4: int > $o] :
% 3.29/3.50        ( ( id_on_int @ ( collect_int @ A4 ) )
% 3.29/3.50        = ( collec213857154873943460nt_int
% 3.29/3.50          @ ( produc4947309494688390418_int_o
% 3.29/3.50            @ ^ [X4: int,Y5: int] :
% 3.29/3.50                ( ( X4 = Y5 )
% 3.29/3.50                & ( A4 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_def'
% 3.29/3.50  thf(fact_1246_pred__equals__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr7459493094073627847at_nat,S5: set_Pr7459493094073627847at_nat] :
% 3.29/3.50        ( ( ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R3 ) )
% 3.29/3.50          = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ S5 ) ) )
% 3.29/3.50        = ( R3 = S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_equals_eq2
% 3.29/3.50  thf(fact_1247_pred__equals__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr4329608150637261639at_nat,S5: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R3 ) )
% 3.29/3.50          = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ S5 ) ) )
% 3.29/3.50        = ( R3 = S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_equals_eq2
% 3.29/3.50  thf(fact_1248_pred__equals__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr6200539531224447659at_num,S5: set_Pr6200539531224447659at_num] :
% 3.29/3.50        ( ( ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ R3 ) )
% 3.29/3.50          = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ S5 ) ) )
% 3.29/3.50        = ( R3 = S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_equals_eq2
% 3.29/3.50  thf(fact_1249_pred__equals__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr1261947904930325089at_nat,S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R3 ) )
% 3.29/3.50          = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ S5 ) ) )
% 3.29/3.50        = ( R3 = S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_equals_eq2
% 3.29/3.50  thf(fact_1250_pred__equals__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr958786334691620121nt_int,S5: set_Pr958786334691620121nt_int] :
% 3.29/3.50        ( ( ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R3 ) )
% 3.29/3.50          = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ S5 ) ) )
% 3.29/3.50        = ( R3 = S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_equals_eq2
% 3.29/3.50  thf(fact_1251_case__prodE_H,axiom,
% 3.29/3.50      ! [C: nat > nat > product_prod_nat_nat > $o,P: product_prod_nat_nat,Z2: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc8739625826339149834_nat_o @ C @ P @ Z2 )
% 3.29/3.50       => ~ ! [X: nat,Y: nat] :
% 3.29/3.50              ( ( P
% 3.29/3.50                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.50             => ~ ( C @ X @ Y @ Z2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE'
% 3.29/3.50  thf(fact_1252_case__prodD_H,axiom,
% 3.29/3.50      ! [R3: nat > nat > product_prod_nat_nat > $o,A: nat,B: nat,C: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc8739625826339149834_nat_o @ R3 @ ( product_Pair_nat_nat @ A @ B ) @ C )
% 3.29/3.50       => ( R3 @ A @ B @ C ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodD'
% 3.29/3.50  thf(fact_1253_case__prod__Pair__iden,axiom,
% 3.29/3.50      ! [P: produc1319942482725812455at_nat] :
% 3.29/3.50        ( ( produc5456455677105495163at_nat @ produc9060074326276436823at_nat @ P )
% 3.29/3.50        = P ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_Pair_iden
% 3.29/3.50  thf(fact_1254_case__prod__Pair__iden,axiom,
% 3.29/3.50      ! [P: produc3843707927480180839at_nat] :
% 3.29/3.50        ( ( produc7548845685434208379at_nat @ produc2922128104949294807at_nat @ P )
% 3.29/3.50        = P ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_Pair_iden
% 3.29/3.50  thf(fact_1255_case__prod__Pair__iden,axiom,
% 3.29/3.50      ! [P: product_prod_nat_num] :
% 3.29/3.50        ( ( produc49306077274653107at_num @ product_Pair_nat_num @ P )
% 3.29/3.50        = P ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_Pair_iden
% 3.29/3.50  thf(fact_1256_case__prod__Pair__iden,axiom,
% 3.29/3.50      ! [P: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc2626176000494625587at_nat @ product_Pair_nat_nat @ P )
% 3.29/3.50        = P ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_Pair_iden
% 3.29/3.50  thf(fact_1257_case__prod__Pair__iden,axiom,
% 3.29/3.50      ! [P: product_prod_int_int] :
% 3.29/3.50        ( ( produc4245557441103728435nt_int @ product_Pair_int_int @ P )
% 3.29/3.50        = P ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_Pair_iden
% 3.29/3.50  thf(fact_1258_subset__CollectI,axiom,
% 3.29/3.50      ! [B5: set_Pr4329608150637261639at_nat,A4: set_Pr4329608150637261639at_nat,Q2: produc3843707927480180839at_nat > $o,P2: produc3843707927480180839at_nat > $o] :
% 3.29/3.50        ( ( ord_le1268244103169919719at_nat @ B5 @ A4 )
% 3.29/3.50       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.50              ( ( member8757157785044589968at_nat @ X @ B5 )
% 3.29/3.50             => ( ( Q2 @ X )
% 3.29/3.50               => ( P2 @ X ) ) )
% 3.29/3.50         => ( ord_le1268244103169919719at_nat
% 3.29/3.50            @ ( collec6321179662152712658at_nat
% 3.29/3.50              @ ^ [X4: produc3843707927480180839at_nat] :
% 3.29/3.50                  ( ( member8757157785044589968at_nat @ X4 @ B5 )
% 3.29/3.50                  & ( Q2 @ X4 ) ) )
% 3.29/3.50            @ ( collec6321179662152712658at_nat
% 3.29/3.50              @ ^ [X4: produc3843707927480180839at_nat] :
% 3.29/3.50                  ( ( member8757157785044589968at_nat @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_CollectI
% 3.29/3.50  thf(fact_1259_subset__CollectI,axiom,
% 3.29/3.50      ! [B5: set_o,A4: set_o,Q2: $o > $o,P2: $o > $o] :
% 3.29/3.50        ( ( ord_less_eq_set_o @ B5 @ A4 )
% 3.29/3.50       => ( ! [X: $o] :
% 3.29/3.50              ( ( member_o @ X @ B5 )
% 3.29/3.50             => ( ( Q2 @ X )
% 3.29/3.50               => ( P2 @ X ) ) )
% 3.29/3.50         => ( ord_less_eq_set_o
% 3.29/3.50            @ ( collect_o
% 3.29/3.50              @ ^ [X4: $o] :
% 3.29/3.50                  ( ( member_o @ X4 @ B5 )
% 3.29/3.50                  & ( Q2 @ X4 ) ) )
% 3.29/3.50            @ ( collect_o
% 3.29/3.50              @ ^ [X4: $o] :
% 3.29/3.50                  ( ( member_o @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_CollectI
% 3.29/3.50  thf(fact_1260_subset__CollectI,axiom,
% 3.29/3.50      ! [B5: set_int,A4: set_int,Q2: int > $o,P2: int > $o] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ B5 @ A4 )
% 3.29/3.50       => ( ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ B5 )
% 3.29/3.50             => ( ( Q2 @ X )
% 3.29/3.50               => ( P2 @ X ) ) )
% 3.29/3.50         => ( ord_less_eq_set_int
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] :
% 3.29/3.50                  ( ( member_int @ X4 @ B5 )
% 3.29/3.50                  & ( Q2 @ X4 ) ) )
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] :
% 3.29/3.50                  ( ( member_int @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_CollectI
% 3.29/3.50  thf(fact_1261_subset__CollectI,axiom,
% 3.29/3.50      ! [B5: set_Pr1261947904930325089at_nat,A4: set_Pr1261947904930325089at_nat,Q2: product_prod_nat_nat > $o,P2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( ord_le3146513528884898305at_nat @ B5 @ A4 )
% 3.29/3.50       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.50              ( ( member8440522571783428010at_nat @ X @ B5 )
% 3.29/3.50             => ( ( Q2 @ X )
% 3.29/3.50               => ( P2 @ X ) ) )
% 3.29/3.50         => ( ord_le3146513528884898305at_nat
% 3.29/3.50            @ ( collec3392354462482085612at_nat
% 3.29/3.50              @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.50                  ( ( member8440522571783428010at_nat @ X4 @ B5 )
% 3.29/3.50                  & ( Q2 @ X4 ) ) )
% 3.29/3.50            @ ( collec3392354462482085612at_nat
% 3.29/3.50              @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.50                  ( ( member8440522571783428010at_nat @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_CollectI
% 3.29/3.50  thf(fact_1262_subset__CollectI,axiom,
% 3.29/3.50      ! [B5: set_nat,A4: set_nat,Q2: nat > $o,P2: nat > $o] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ B5 @ A4 )
% 3.29/3.50       => ( ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ B5 )
% 3.29/3.50             => ( ( Q2 @ X )
% 3.29/3.50               => ( P2 @ X ) ) )
% 3.29/3.50         => ( ord_less_eq_set_nat
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] :
% 3.29/3.50                  ( ( member_nat @ X4 @ B5 )
% 3.29/3.50                  & ( Q2 @ X4 ) ) )
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] :
% 3.29/3.50                  ( ( member_nat @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_CollectI
% 3.29/3.50  thf(fact_1263_subset__CollectI,axiom,
% 3.29/3.50      ! [B5: set_Pr958786334691620121nt_int,A4: set_Pr958786334691620121nt_int,Q2: product_prod_int_int > $o,P2: product_prod_int_int > $o] :
% 3.29/3.50        ( ( ord_le2843351958646193337nt_int @ B5 @ A4 )
% 3.29/3.50       => ( ! [X: product_prod_int_int] :
% 3.29/3.50              ( ( member5262025264175285858nt_int @ X @ B5 )
% 3.29/3.50             => ( ( Q2 @ X )
% 3.29/3.50               => ( P2 @ X ) ) )
% 3.29/3.50         => ( ord_le2843351958646193337nt_int
% 3.29/3.50            @ ( collec213857154873943460nt_int
% 3.29/3.50              @ ^ [X4: product_prod_int_int] :
% 3.29/3.50                  ( ( member5262025264175285858nt_int @ X4 @ B5 )
% 3.29/3.50                  & ( Q2 @ X4 ) ) )
% 3.29/3.50            @ ( collec213857154873943460nt_int
% 3.29/3.50              @ ^ [X4: product_prod_int_int] :
% 3.29/3.50                  ( ( member5262025264175285858nt_int @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_CollectI
% 3.29/3.50  thf(fact_1264_subset__Collect__iff,axiom,
% 3.29/3.50      ! [B5: set_Pr4329608150637261639at_nat,A4: set_Pr4329608150637261639at_nat,P2: produc3843707927480180839at_nat > $o] :
% 3.29/3.50        ( ( ord_le1268244103169919719at_nat @ B5 @ A4 )
% 3.29/3.50       => ( ( ord_le1268244103169919719at_nat @ B5
% 3.29/3.50            @ ( collec6321179662152712658at_nat
% 3.29/3.50              @ ^ [X4: produc3843707927480180839at_nat] :
% 3.29/3.50                  ( ( member8757157785044589968at_nat @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50          = ( ! [X4: produc3843707927480180839at_nat] :
% 3.29/3.50                ( ( member8757157785044589968at_nat @ X4 @ B5 )
% 3.29/3.50               => ( P2 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_Collect_iff
% 3.29/3.50  thf(fact_1265_subset__Collect__iff,axiom,
% 3.29/3.50      ! [B5: set_o,A4: set_o,P2: $o > $o] :
% 3.29/3.50        ( ( ord_less_eq_set_o @ B5 @ A4 )
% 3.29/3.50       => ( ( ord_less_eq_set_o @ B5
% 3.29/3.50            @ ( collect_o
% 3.29/3.50              @ ^ [X4: $o] :
% 3.29/3.50                  ( ( member_o @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50          = ( ! [X4: $o] :
% 3.29/3.50                ( ( member_o @ X4 @ B5 )
% 3.29/3.50               => ( P2 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_Collect_iff
% 3.29/3.50  thf(fact_1266_subset__Collect__iff,axiom,
% 3.29/3.50      ! [B5: set_int,A4: set_int,P2: int > $o] :
% 3.29/3.50        ( ( ord_less_eq_set_int @ B5 @ A4 )
% 3.29/3.50       => ( ( ord_less_eq_set_int @ B5
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] :
% 3.29/3.50                  ( ( member_int @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50          = ( ! [X4: int] :
% 3.29/3.50                ( ( member_int @ X4 @ B5 )
% 3.29/3.50               => ( P2 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_Collect_iff
% 3.29/3.50  thf(fact_1267_subset__Collect__iff,axiom,
% 3.29/3.50      ! [B5: set_Pr1261947904930325089at_nat,A4: set_Pr1261947904930325089at_nat,P2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( ord_le3146513528884898305at_nat @ B5 @ A4 )
% 3.29/3.50       => ( ( ord_le3146513528884898305at_nat @ B5
% 3.29/3.50            @ ( collec3392354462482085612at_nat
% 3.29/3.50              @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.50                  ( ( member8440522571783428010at_nat @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50          = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.50                ( ( member8440522571783428010at_nat @ X4 @ B5 )
% 3.29/3.50               => ( P2 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_Collect_iff
% 3.29/3.50  thf(fact_1268_subset__Collect__iff,axiom,
% 3.29/3.50      ! [B5: set_nat,A4: set_nat,P2: nat > $o] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ B5 @ A4 )
% 3.29/3.50       => ( ( ord_less_eq_set_nat @ B5
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] :
% 3.29/3.50                  ( ( member_nat @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50          = ( ! [X4: nat] :
% 3.29/3.50                ( ( member_nat @ X4 @ B5 )
% 3.29/3.50               => ( P2 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_Collect_iff
% 3.29/3.50  thf(fact_1269_subset__Collect__iff,axiom,
% 3.29/3.50      ! [B5: set_Pr958786334691620121nt_int,A4: set_Pr958786334691620121nt_int,P2: product_prod_int_int > $o] :
% 3.29/3.50        ( ( ord_le2843351958646193337nt_int @ B5 @ A4 )
% 3.29/3.50       => ( ( ord_le2843351958646193337nt_int @ B5
% 3.29/3.50            @ ( collec213857154873943460nt_int
% 3.29/3.50              @ ^ [X4: product_prod_int_int] :
% 3.29/3.50                  ( ( member5262025264175285858nt_int @ X4 @ A4 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50          = ( ! [X4: product_prod_int_int] :
% 3.29/3.50                ( ( member5262025264175285858nt_int @ X4 @ B5 )
% 3.29/3.50               => ( P2 @ X4 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_Collect_iff
% 3.29/3.50  thf(fact_1270_prop__restrict,axiom,
% 3.29/3.50      ! [X2: produc3843707927480180839at_nat,Z5: set_Pr4329608150637261639at_nat,X5: set_Pr4329608150637261639at_nat,P2: produc3843707927480180839at_nat > $o] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ X2 @ Z5 )
% 3.29/3.50       => ( ( ord_le1268244103169919719at_nat @ Z5
% 3.29/3.50            @ ( collec6321179662152712658at_nat
% 3.29/3.50              @ ^ [X4: produc3843707927480180839at_nat] :
% 3.29/3.50                  ( ( member8757157785044589968at_nat @ X4 @ X5 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50         => ( P2 @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prop_restrict
% 3.29/3.50  thf(fact_1271_prop__restrict,axiom,
% 3.29/3.50      ! [X2: $o,Z5: set_o,X5: set_o,P2: $o > $o] :
% 3.29/3.50        ( ( member_o @ X2 @ Z5 )
% 3.29/3.50       => ( ( ord_less_eq_set_o @ Z5
% 3.29/3.50            @ ( collect_o
% 3.29/3.50              @ ^ [X4: $o] :
% 3.29/3.50                  ( ( member_o @ X4 @ X5 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50         => ( P2 @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prop_restrict
% 3.29/3.50  thf(fact_1272_prop__restrict,axiom,
% 3.29/3.50      ! [X2: int,Z5: set_int,X5: set_int,P2: int > $o] :
% 3.29/3.50        ( ( member_int @ X2 @ Z5 )
% 3.29/3.50       => ( ( ord_less_eq_set_int @ Z5
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] :
% 3.29/3.50                  ( ( member_int @ X4 @ X5 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50         => ( P2 @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prop_restrict
% 3.29/3.50  thf(fact_1273_prop__restrict,axiom,
% 3.29/3.50      ! [X2: product_prod_nat_nat,Z5: set_Pr1261947904930325089at_nat,X5: set_Pr1261947904930325089at_nat,P2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ X2 @ Z5 )
% 3.29/3.50       => ( ( ord_le3146513528884898305at_nat @ Z5
% 3.29/3.50            @ ( collec3392354462482085612at_nat
% 3.29/3.50              @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.50                  ( ( member8440522571783428010at_nat @ X4 @ X5 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50         => ( P2 @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prop_restrict
% 3.29/3.50  thf(fact_1274_prop__restrict,axiom,
% 3.29/3.50      ! [X2: nat,Z5: set_nat,X5: set_nat,P2: nat > $o] :
% 3.29/3.50        ( ( member_nat @ X2 @ Z5 )
% 3.29/3.50       => ( ( ord_less_eq_set_nat @ Z5
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] :
% 3.29/3.50                  ( ( member_nat @ X4 @ X5 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50         => ( P2 @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prop_restrict
% 3.29/3.50  thf(fact_1275_prop__restrict,axiom,
% 3.29/3.50      ! [X2: product_prod_int_int,Z5: set_Pr958786334691620121nt_int,X5: set_Pr958786334691620121nt_int,P2: product_prod_int_int > $o] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ X2 @ Z5 )
% 3.29/3.50       => ( ( ord_le2843351958646193337nt_int @ Z5
% 3.29/3.50            @ ( collec213857154873943460nt_int
% 3.29/3.50              @ ^ [X4: product_prod_int_int] :
% 3.29/3.50                  ( ( member5262025264175285858nt_int @ X4 @ X5 )
% 3.29/3.50                  & ( P2 @ X4 ) ) ) )
% 3.29/3.50         => ( P2 @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prop_restrict
% 3.29/3.50  thf(fact_1276_Collect__restrict,axiom,
% 3.29/3.50      ! [X5: set_Pr4329608150637261639at_nat,P2: produc3843707927480180839at_nat > $o] :
% 3.29/3.50        ( ord_le1268244103169919719at_nat
% 3.29/3.50        @ ( collec6321179662152712658at_nat
% 3.29/3.50          @ ^ [X4: produc3843707927480180839at_nat] :
% 3.29/3.50              ( ( member8757157785044589968at_nat @ X4 @ X5 )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        @ X5 ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_restrict
% 3.29/3.50  thf(fact_1277_Collect__restrict,axiom,
% 3.29/3.50      ! [X5: set_o,P2: $o > $o] :
% 3.29/3.50        ( ord_less_eq_set_o
% 3.29/3.50        @ ( collect_o
% 3.29/3.50          @ ^ [X4: $o] :
% 3.29/3.50              ( ( member_o @ X4 @ X5 )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        @ X5 ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_restrict
% 3.29/3.50  thf(fact_1278_Collect__restrict,axiom,
% 3.29/3.50      ! [X5: set_int,P2: int > $o] :
% 3.29/3.50        ( ord_less_eq_set_int
% 3.29/3.50        @ ( collect_int
% 3.29/3.50          @ ^ [X4: int] :
% 3.29/3.50              ( ( member_int @ X4 @ X5 )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        @ X5 ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_restrict
% 3.29/3.50  thf(fact_1279_Collect__restrict,axiom,
% 3.29/3.50      ! [X5: set_Pr1261947904930325089at_nat,P2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ord_le3146513528884898305at_nat
% 3.29/3.50        @ ( collec3392354462482085612at_nat
% 3.29/3.50          @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.50              ( ( member8440522571783428010at_nat @ X4 @ X5 )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        @ X5 ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_restrict
% 3.29/3.50  thf(fact_1280_Collect__restrict,axiom,
% 3.29/3.50      ! [X5: set_nat,P2: nat > $o] :
% 3.29/3.50        ( ord_less_eq_set_nat
% 3.29/3.50        @ ( collect_nat
% 3.29/3.50          @ ^ [X4: nat] :
% 3.29/3.50              ( ( member_nat @ X4 @ X5 )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        @ X5 ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_restrict
% 3.29/3.50  thf(fact_1281_Collect__restrict,axiom,
% 3.29/3.50      ! [X5: set_Pr958786334691620121nt_int,P2: product_prod_int_int > $o] :
% 3.29/3.50        ( ord_le2843351958646193337nt_int
% 3.29/3.50        @ ( collec213857154873943460nt_int
% 3.29/3.50          @ ^ [X4: product_prod_int_int] :
% 3.29/3.50              ( ( member5262025264175285858nt_int @ X4 @ X5 )
% 3.29/3.50              & ( P2 @ X4 ) ) )
% 3.29/3.50        @ X5 ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_restrict
% 3.29/3.50  thf(fact_1282_fun_Omap__ident,axiom,
% 3.29/3.50      ! [T2: nat > $o] :
% 3.29/3.50        ( ( comp_o_o_nat
% 3.29/3.50          @ ^ [X4: $o] : X4
% 3.29/3.50          @ T2 )
% 3.29/3.50        = T2 ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_ident
% 3.29/3.50  thf(fact_1283_fun_Omap__ident,axiom,
% 3.29/3.50      ! [T2: nat > nat] :
% 3.29/3.50        ( ( comp_nat_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : X4
% 3.29/3.50          @ T2 )
% 3.29/3.50        = T2 ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.map_ident
% 3.29/3.50  thf(fact_1284_case__prod__app,axiom,
% 3.29/3.50      ( produc27273713700761075at_nat
% 3.29/3.50      = ( ^ [F2: nat > nat > product_prod_nat_nat > product_prod_nat_nat,X4: product_prod_nat_nat,Y5: product_prod_nat_nat] :
% 3.29/3.50            ( produc2626176000494625587at_nat
% 3.29/3.50            @ ^ [L3: nat,R5: nat] : ( F2 @ L3 @ R5 @ Y5 )
% 3.29/3.50            @ X4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_app
% 3.29/3.50  thf(fact_1285_case__prod__app,axiom,
% 3.29/3.50      ( produc8739625826339149834_nat_o
% 3.29/3.50      = ( ^ [F2: nat > nat > product_prod_nat_nat > $o,X4: product_prod_nat_nat,Y5: product_prod_nat_nat] :
% 3.29/3.50            ( produc6081775807080527818_nat_o
% 3.29/3.50            @ ^ [L3: nat,R5: nat] : ( F2 @ L3 @ R5 @ Y5 )
% 3.29/3.50            @ X4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_app
% 3.29/3.50  thf(fact_1286_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: $o > $o,F: int > int > $o,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc4947309494688390418_int_o @ F @ Prod ) )
% 3.29/3.50        = ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1287_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: $o > int,F: int > int > $o,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc4947309494688390418_int_o @ F @ Prod ) )
% 3.29/3.50        = ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1288_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: int > $o,F: int > int > int,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc8211389475949308722nt_int @ F @ Prod ) )
% 3.29/3.50        = ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1289_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: int > int,F: int > int > int,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc8211389475949308722nt_int @ F @ Prod ) )
% 3.29/3.50        = ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1290_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: product_prod_int_int > $o,F: int > int > product_prod_int_int,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc4245557441103728435nt_int @ F @ Prod ) )
% 3.29/3.50        = ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1291_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: product_prod_int_int > int,F: int > int > product_prod_int_int,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc4245557441103728435nt_int @ F @ Prod ) )
% 3.29/3.50        = ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1292_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: $o > product_prod_int_int,F: int > int > $o,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc4947309494688390418_int_o @ F @ Prod ) )
% 3.29/3.50        = ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1293_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: int > product_prod_int_int,F: int > int > int,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc8211389475949308722nt_int @ F @ Prod ) )
% 3.29/3.50        = ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1294_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: product_prod_int_int > product_prod_int_int,F: int > int > product_prod_int_int,Prod: product_prod_int_int] :
% 3.29/3.50        ( ( H @ ( produc4245557441103728435nt_int @ F @ Prod ) )
% 3.29/3.50        = ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [X12: int,X23: int] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1295_prod_Ocase__distrib,axiom,
% 3.29/3.50      ! [H: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o,F: nat > nat > product_prod_nat_nat > $o,Prod: product_prod_nat_nat] :
% 3.29/3.50        ( ( H @ ( produc8739625826339149834_nat_o @ F @ Prod ) )
% 3.29/3.50        = ( produc8739625826339149834_nat_o
% 3.29/3.50          @ ^ [X12: nat,X23: nat] : ( H @ ( F @ X12 @ X23 ) )
% 3.29/3.50          @ Prod ) ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.case_distrib
% 3.29/3.50  thf(fact_1296_prod_Odisc__eq__case,axiom,
% 3.29/3.50      ! [Prod: product_prod_int_int] :
% 3.29/3.50        ( produc4947309494688390418_int_o
% 3.29/3.50        @ ^ [Uu: int,Uv: int] : $true
% 3.29/3.50        @ Prod ) ).
% 3.29/3.50  
% 3.29/3.50  % prod.disc_eq_case
% 3.29/3.50  thf(fact_1297_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: int > $o,F: int > nat,B5: set_nat] :
% 3.29/3.50        ( ! [X: int] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_nat @ ( image_int_nat @ F @ ( collect_int @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1298_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: int > $o,F: int > int,B5: set_int] :
% 3.29/3.50        ( ! [X: int] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_int @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_int @ ( image_int_int @ F @ ( collect_int @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1299_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: nat > $o,F: nat > rat,B5: set_rat] :
% 3.29/3.50        ( ! [X: nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_rat @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ ( collect_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1300_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: nat > $o,F: nat > $o,B5: set_o] :
% 3.29/3.50        ( ! [X: nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_o @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_o @ ( image_nat_o @ F @ ( collect_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1301_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: nat > $o,F: nat > nat,B5: set_nat] :
% 3.29/3.50        ( ! [X: nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ ( collect_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1302_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: nat > $o,F: nat > int,B5: set_int] :
% 3.29/3.50        ( ! [X: nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_int @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_int @ ( image_nat_int @ F @ ( collect_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1303_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,F: product_prod_nat_nat > $o,B5: set_o] :
% 3.29/3.50        ( ! [X: product_prod_nat_nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_o @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_o @ ( image_3693632289388996572_nat_o @ F @ ( collec3392354462482085612at_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1304_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,F: product_prod_nat_nat > nat,B5: set_nat] :
% 3.29/3.50        ( ! [X: product_prod_nat_nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ F @ ( collec3392354462482085612at_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1305_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,F: product_prod_nat_nat > int,B5: set_int] :
% 3.29/3.50        ( ! [X: product_prod_nat_nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member_int @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_less_eq_set_int @ ( image_2483585944268220136at_int @ F @ ( collec3392354462482085612at_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1306_image__Collect__subsetI,axiom,
% 3.29/3.50      ! [P2: nat > $o,F: nat > product_prod_nat_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ! [X: nat] :
% 3.29/3.50            ( ( P2 @ X )
% 3.29/3.50           => ( member8440522571783428010at_nat @ ( F @ X ) @ B5 ) )
% 3.29/3.50       => ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F @ ( collect_nat @ P2 ) ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Collect_subsetI
% 3.29/3.50  thf(fact_1307_range__composition,axiom,
% 3.29/3.50      ! [F: nat > rat,G: char > nat] :
% 3.29/3.50        ( ( image_char_rat
% 3.29/3.50          @ ^ [X4: char] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_char )
% 3.29/3.50        = ( image_nat_rat @ F @ ( image_char_nat @ G @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1308_range__composition,axiom,
% 3.29/3.50      ! [F: nat > nat,G: char > nat] :
% 3.29/3.50        ( ( image_char_nat
% 3.29/3.50          @ ^ [X4: char] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_char )
% 3.29/3.50        = ( image_nat_nat @ F @ ( image_char_nat @ G @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1309_range__composition,axiom,
% 3.29/3.50      ! [F: nat > int,G: char > nat] :
% 3.29/3.50        ( ( image_char_int
% 3.29/3.50          @ ^ [X4: char] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_char )
% 3.29/3.50        = ( image_nat_int @ F @ ( image_char_nat @ G @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1310_range__composition,axiom,
% 3.29/3.50      ! [F: int > nat,G: char > int] :
% 3.29/3.50        ( ( image_char_nat
% 3.29/3.50          @ ^ [X4: char] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_char )
% 3.29/3.50        = ( image_int_nat @ F @ ( image_char_int @ G @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1311_range__composition,axiom,
% 3.29/3.50      ! [F: int > int,G: char > int] :
% 3.29/3.50        ( ( image_char_int
% 3.29/3.50          @ ^ [X4: char] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_char )
% 3.29/3.50        = ( image_int_int @ F @ ( image_char_int @ G @ top_top_set_char ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1312_range__composition,axiom,
% 3.29/3.50      ! [F: nat > rat,G: rat > nat] :
% 3.29/3.50        ( ( image_rat_rat
% 3.29/3.50          @ ^ [X4: rat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_rat )
% 3.29/3.50        = ( image_nat_rat @ F @ ( image_rat_nat @ G @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1313_range__composition,axiom,
% 3.29/3.50      ! [F: nat > nat,G: rat > nat] :
% 3.29/3.50        ( ( image_rat_nat
% 3.29/3.50          @ ^ [X4: rat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_rat )
% 3.29/3.50        = ( image_nat_nat @ F @ ( image_rat_nat @ G @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1314_range__composition,axiom,
% 3.29/3.50      ! [F: nat > int,G: rat > nat] :
% 3.29/3.50        ( ( image_rat_int
% 3.29/3.50          @ ^ [X4: rat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_rat )
% 3.29/3.50        = ( image_nat_int @ F @ ( image_rat_nat @ G @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1315_range__composition,axiom,
% 3.29/3.50      ! [F: int > nat,G: rat > int] :
% 3.29/3.50        ( ( image_rat_nat
% 3.29/3.50          @ ^ [X4: rat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_rat )
% 3.29/3.50        = ( image_int_nat @ F @ ( image_rat_int @ G @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1316_range__composition,axiom,
% 3.29/3.50      ! [F: int > int,G: rat > int] :
% 3.29/3.50        ( ( image_rat_int
% 3.29/3.50          @ ^ [X4: rat] : ( F @ ( G @ X4 ) )
% 3.29/3.50          @ top_top_set_rat )
% 3.29/3.50        = ( image_int_int @ F @ ( image_rat_int @ G @ top_top_set_rat ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % range_composition
% 3.29/3.50  thf(fact_1317_rangeE,axiom,
% 3.29/3.50      ! [B: $o,F: char > $o] :
% 3.29/3.50        ( ( member_o @ B @ ( image_char_o @ F @ top_top_set_char ) )
% 3.29/3.50       => ~ ! [X: char] :
% 3.29/3.50              ( B
% 3.29/3.50              = ( ~ ( F @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1318_rangeE,axiom,
% 3.29/3.50      ! [B: nat,F: char > nat] :
% 3.29/3.50        ( ( member_nat @ B @ ( image_char_nat @ F @ top_top_set_char ) )
% 3.29/3.50       => ~ ! [X: char] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1319_rangeE,axiom,
% 3.29/3.50      ! [B: int,F: char > int] :
% 3.29/3.50        ( ( member_int @ B @ ( image_char_int @ F @ top_top_set_char ) )
% 3.29/3.50       => ~ ! [X: char] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1320_rangeE,axiom,
% 3.29/3.50      ! [B: $o,F: rat > $o] :
% 3.29/3.50        ( ( member_o @ B @ ( image_rat_o @ F @ top_top_set_rat ) )
% 3.29/3.50       => ~ ! [X: rat] :
% 3.29/3.50              ( B
% 3.29/3.50              = ( ~ ( F @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1321_rangeE,axiom,
% 3.29/3.50      ! [B: nat,F: rat > nat] :
% 3.29/3.50        ( ( member_nat @ B @ ( image_rat_nat @ F @ top_top_set_rat ) )
% 3.29/3.50       => ~ ! [X: rat] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1322_rangeE,axiom,
% 3.29/3.50      ! [B: int,F: rat > int] :
% 3.29/3.50        ( ( member_int @ B @ ( image_rat_int @ F @ top_top_set_rat ) )
% 3.29/3.50       => ~ ! [X: rat] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1323_rangeE,axiom,
% 3.29/3.50      ! [B: rat,F: nat > rat] :
% 3.29/3.50        ( ( member_rat @ B @ ( image_nat_rat @ F @ top_top_set_nat ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1324_rangeE,axiom,
% 3.29/3.50      ! [B: $o,F: nat > $o] :
% 3.29/3.50        ( ( member_o @ B @ ( image_nat_o @ F @ top_top_set_nat ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( B
% 3.29/3.50              = ( ~ ( F @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1325_rangeE,axiom,
% 3.29/3.50      ! [B: nat,F: nat > nat] :
% 3.29/3.50        ( ( member_nat @ B @ ( image_nat_nat @ F @ top_top_set_nat ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1326_rangeE,axiom,
% 3.29/3.50      ! [B: int,F: nat > int] :
% 3.29/3.50        ( ( member_int @ B @ ( image_nat_int @ F @ top_top_set_nat ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( B
% 3.29/3.50             != ( F @ X ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % rangeE
% 3.29/3.50  thf(fact_1327_fun_Orel__map_I1_J,axiom,
% 3.29/3.50      ! [Sb: num > num > $o,I: nat > num,X2: int > nat,Y3: int > num] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ Sb
% 3.29/3.50          @ ( comp_nat_num_int @ I @ X2 )
% 3.29/3.50          @ Y3 )
% 3.29/3.50        = ( bNF_re272988434038980259at_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ^ [X4: nat] : ( Sb @ ( I @ X4 ) )
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_map(1)
% 3.29/3.50  thf(fact_1328_fun_Orel__map_I1_J,axiom,
% 3.29/3.50      ! [Sb: num > num > $o,I: num > num,X2: int > num,Y3: int > num] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ Sb
% 3.29/3.50          @ ( comp_num_num_int @ I @ X2 )
% 3.29/3.50          @ Y3 )
% 3.29/3.50        = ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ^ [X4: num] : ( Sb @ ( I @ X4 ) )
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_map(1)
% 3.29/3.50  thf(fact_1329_fun_Orel__map_I2_J,axiom,
% 3.29/3.50      ! [Sa: num > num > $o,X2: int > num,G: nat > num,Y3: int > nat] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ Sa
% 3.29/3.50          @ X2
% 3.29/3.50          @ ( comp_nat_num_int @ G @ Y3 ) )
% 3.29/3.50        = ( bNF_re1845987051190671011um_nat
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ^ [X4: num,Y5: nat] : ( Sa @ X4 @ ( G @ Y5 ) )
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_map(2)
% 3.29/3.50  thf(fact_1330_fun_Orel__map_I2_J,axiom,
% 3.29/3.50      ! [Sa: num > num > $o,X2: int > num,G: num > num,Y3: int > num] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ Sa
% 3.29/3.50          @ X2
% 3.29/3.50          @ ( comp_num_num_int @ G @ Y3 ) )
% 3.29/3.50        = ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ^ [X4: num,Y5: num] : ( Sa @ X4 @ ( G @ Y5 ) )
% 3.29/3.50          @ X2
% 3.29/3.50          @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_map(2)
% 3.29/3.50  thf(fact_1331_case__prodE2,axiom,
% 3.29/3.50      ! [Q2: ( product_prod_nat_nat > product_prod_nat_nat ) > $o,P2: nat > nat > product_prod_nat_nat > product_prod_nat_nat,Z2: product_prod_nat_nat] :
% 3.29/3.50        ( ( Q2 @ ( produc27273713700761075at_nat @ P2 @ Z2 ) )
% 3.29/3.50       => ~ ! [X: nat,Y: nat] :
% 3.29/3.50              ( ( Z2
% 3.29/3.50                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.50             => ~ ( Q2 @ ( P2 @ X @ Y ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE2
% 3.29/3.50  thf(fact_1332_case__prodE2,axiom,
% 3.29/3.50      ! [Q2: ( product_prod_nat_nat > $o ) > $o,P2: nat > nat > product_prod_nat_nat > $o,Z2: product_prod_nat_nat] :
% 3.29/3.50        ( ( Q2 @ ( produc8739625826339149834_nat_o @ P2 @ Z2 ) )
% 3.29/3.50       => ~ ! [X: nat,Y: nat] :
% 3.29/3.50              ( ( Z2
% 3.29/3.50                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.50             => ~ ( Q2 @ ( P2 @ X @ Y ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE2
% 3.29/3.50  thf(fact_1333_case__prodE2,axiom,
% 3.29/3.50      ! [Q2: product_prod_int_int > $o,P2: int > int > product_prod_int_int,Z2: product_prod_int_int] :
% 3.29/3.50        ( ( Q2 @ ( produc4245557441103728435nt_int @ P2 @ Z2 ) )
% 3.29/3.50       => ~ ! [X: int,Y: int] :
% 3.29/3.50              ( ( Z2
% 3.29/3.50                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.50             => ~ ( Q2 @ ( P2 @ X @ Y ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE2
% 3.29/3.50  thf(fact_1334_case__prodE2,axiom,
% 3.29/3.50      ! [Q2: $o > $o,P2: int > int > $o,Z2: product_prod_int_int] :
% 3.29/3.50        ( ( Q2 @ ( produc4947309494688390418_int_o @ P2 @ Z2 ) )
% 3.29/3.50       => ~ ! [X: int,Y: int] :
% 3.29/3.50              ( ( Z2
% 3.29/3.50                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.50             => ~ ( Q2 @ ( P2 @ X @ Y ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE2
% 3.29/3.50  thf(fact_1335_case__prodE2,axiom,
% 3.29/3.50      ! [Q2: int > $o,P2: int > int > int,Z2: product_prod_int_int] :
% 3.29/3.50        ( ( Q2 @ ( produc8211389475949308722nt_int @ P2 @ Z2 ) )
% 3.29/3.50       => ~ ! [X: int,Y: int] :
% 3.29/3.50              ( ( Z2
% 3.29/3.50                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.50             => ~ ( Q2 @ ( P2 @ X @ Y ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE2
% 3.29/3.50  thf(fact_1336_case__prod__eta,axiom,
% 3.29/3.50      ! [F: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.50        ( ( produc27273713700761075at_nat
% 3.29/3.50          @ ^ [X4: nat,Y5: nat] : ( F @ ( product_Pair_nat_nat @ X4 @ Y5 ) ) )
% 3.29/3.50        = F ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_eta
% 3.29/3.50  thf(fact_1337_case__prod__eta,axiom,
% 3.29/3.50      ! [F: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( produc8739625826339149834_nat_o
% 3.29/3.50          @ ^ [X4: nat,Y5: nat] : ( F @ ( product_Pair_nat_nat @ X4 @ Y5 ) ) )
% 3.29/3.50        = F ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_eta
% 3.29/3.50  thf(fact_1338_case__prod__eta,axiom,
% 3.29/3.50      ! [F: product_prod_int_int > product_prod_int_int] :
% 3.29/3.50        ( ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( F @ ( product_Pair_int_int @ X4 @ Y5 ) ) )
% 3.29/3.50        = F ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_eta
% 3.29/3.50  thf(fact_1339_case__prod__eta,axiom,
% 3.29/3.50      ! [F: product_prod_int_int > $o] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( F @ ( product_Pair_int_int @ X4 @ Y5 ) ) )
% 3.29/3.50        = F ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_eta
% 3.29/3.50  thf(fact_1340_case__prod__eta,axiom,
% 3.29/3.50      ! [F: product_prod_int_int > int] :
% 3.29/3.50        ( ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( F @ ( product_Pair_int_int @ X4 @ Y5 ) ) )
% 3.29/3.50        = F ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_eta
% 3.29/3.50  thf(fact_1341_cond__case__prod__eta,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,G: product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.50        ( ! [X: nat,Y: nat] :
% 3.29/3.50            ( ( F @ X @ Y )
% 3.29/3.50            = ( G @ ( product_Pair_nat_nat @ X @ Y ) ) )
% 3.29/3.50       => ( ( produc27273713700761075at_nat @ F )
% 3.29/3.50          = G ) ) ).
% 3.29/3.50  
% 3.29/3.50  % cond_case_prod_eta
% 3.29/3.50  thf(fact_1342_cond__case__prod__eta,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > $o,G: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ! [X: nat,Y: nat] :
% 3.29/3.50            ( ( F @ X @ Y )
% 3.29/3.50            = ( G @ ( product_Pair_nat_nat @ X @ Y ) ) )
% 3.29/3.50       => ( ( produc8739625826339149834_nat_o @ F )
% 3.29/3.50          = G ) ) ).
% 3.29/3.50  
% 3.29/3.50  % cond_case_prod_eta
% 3.29/3.50  thf(fact_1343_cond__case__prod__eta,axiom,
% 3.29/3.50      ! [F: int > int > product_prod_int_int,G: product_prod_int_int > product_prod_int_int] :
% 3.29/3.50        ( ! [X: int,Y: int] :
% 3.29/3.50            ( ( F @ X @ Y )
% 3.29/3.50            = ( G @ ( product_Pair_int_int @ X @ Y ) ) )
% 3.29/3.50       => ( ( produc4245557441103728435nt_int @ F )
% 3.29/3.50          = G ) ) ).
% 3.29/3.50  
% 3.29/3.50  % cond_case_prod_eta
% 3.29/3.50  thf(fact_1344_cond__case__prod__eta,axiom,
% 3.29/3.50      ! [F: int > int > $o,G: product_prod_int_int > $o] :
% 3.29/3.50        ( ! [X: int,Y: int] :
% 3.29/3.50            ( ( F @ X @ Y )
% 3.29/3.50            = ( G @ ( product_Pair_int_int @ X @ Y ) ) )
% 3.29/3.50       => ( ( produc4947309494688390418_int_o @ F )
% 3.29/3.50          = G ) ) ).
% 3.29/3.50  
% 3.29/3.50  % cond_case_prod_eta
% 3.29/3.50  thf(fact_1345_cond__case__prod__eta,axiom,
% 3.29/3.50      ! [F: int > int > int,G: product_prod_int_int > int] :
% 3.29/3.50        ( ! [X: int,Y: int] :
% 3.29/3.50            ( ( F @ X @ Y )
% 3.29/3.50            = ( G @ ( product_Pair_int_int @ X @ Y ) ) )
% 3.29/3.50       => ( ( produc8211389475949308722nt_int @ F )
% 3.29/3.50          = G ) ) ).
% 3.29/3.50  
% 3.29/3.50  % cond_case_prod_eta
% 3.29/3.50  thf(fact_1346_case__prodD,axiom,
% 3.29/3.50      ! [F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( produc9020218426428501292_nat_o @ F @ ( produc9060074326276436823at_nat @ A @ B ) )
% 3.29/3.50       => ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodD
% 3.29/3.50  thf(fact_1347_case__prodD,axiom,
% 3.29/3.50      ! [F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( produc410239310623530412_nat_o @ F @ ( produc2922128104949294807at_nat @ A @ B ) )
% 3.29/3.50       => ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodD
% 3.29/3.50  thf(fact_1348_case__prodD,axiom,
% 3.29/3.50      ! [F: nat > num > $o,A: nat,B: num] :
% 3.29/3.50        ( ( produc4927758841916487424_num_o @ F @ ( product_Pair_nat_num @ A @ B ) )
% 3.29/3.50       => ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodD
% 3.29/3.50  thf(fact_1349_case__prodD,axiom,
% 3.29/3.50      ! [F: nat > nat > $o,A: nat,B: nat] :
% 3.29/3.50        ( ( produc6081775807080527818_nat_o @ F @ ( product_Pair_nat_nat @ A @ B ) )
% 3.29/3.50       => ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodD
% 3.29/3.50  thf(fact_1350_case__prodD,axiom,
% 3.29/3.50      ! [F: int > int > $o,A: int,B: int] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o @ F @ ( product_Pair_int_int @ A @ B ) )
% 3.29/3.50       => ( F @ A @ B ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodD
% 3.29/3.50  thf(fact_1351_case__prodE,axiom,
% 3.29/3.50      ! [C: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o,P: produc1319942482725812455at_nat] :
% 3.29/3.50        ( ( produc9020218426428501292_nat_o @ C @ P )
% 3.29/3.50       => ~ ! [X: set_Pr4329608150637261639at_nat,Y: set_Pr4329608150637261639at_nat] :
% 3.29/3.50              ( ( P
% 3.29/3.50                = ( produc9060074326276436823at_nat @ X @ Y ) )
% 3.29/3.50             => ~ ( C @ X @ Y ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE
% 3.29/3.50  thf(fact_1352_case__prodE,axiom,
% 3.29/3.50      ! [C: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,P: produc3843707927480180839at_nat] :
% 3.29/3.50        ( ( produc410239310623530412_nat_o @ C @ P )
% 3.29/3.50       => ~ ! [X: set_Pr1261947904930325089at_nat,Y: set_Pr1261947904930325089at_nat] :
% 3.29/3.50              ( ( P
% 3.29/3.50                = ( produc2922128104949294807at_nat @ X @ Y ) )
% 3.29/3.50             => ~ ( C @ X @ Y ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE
% 3.29/3.50  thf(fact_1353_case__prodE,axiom,
% 3.29/3.50      ! [C: nat > num > $o,P: product_prod_nat_num] :
% 3.29/3.50        ( ( produc4927758841916487424_num_o @ C @ P )
% 3.29/3.50       => ~ ! [X: nat,Y: num] :
% 3.29/3.50              ( ( P
% 3.29/3.50                = ( product_Pair_nat_num @ X @ Y ) )
% 3.29/3.50             => ~ ( C @ X @ Y ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE
% 3.29/3.50  thf(fact_1354_case__prodE,axiom,
% 3.29/3.50      ! [C: nat > nat > $o,P: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc6081775807080527818_nat_o @ C @ P )
% 3.29/3.50       => ~ ! [X: nat,Y: nat] :
% 3.29/3.50              ( ( P
% 3.29/3.50                = ( product_Pair_nat_nat @ X @ Y ) )
% 3.29/3.50             => ~ ( C @ X @ Y ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE
% 3.29/3.50  thf(fact_1355_case__prodE,axiom,
% 3.29/3.50      ! [C: int > int > $o,P: product_prod_int_int] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o @ C @ P )
% 3.29/3.50       => ~ ! [X: int,Y: int] :
% 3.29/3.50              ( ( P
% 3.29/3.50                = ( product_Pair_int_int @ X @ Y ) )
% 3.29/3.50             => ~ ( C @ X @ Y ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prodE
% 3.29/3.50  thf(fact_1356_fst__def,axiom,
% 3.29/3.50      ( produc473321116828791851t_unit
% 3.29/3.50      = ( produc4846201513286513633_ref_a
% 3.29/3.50        @ ^ [X12: ref_a,X23: heap_e7401611519738050253t_unit] : X12 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_def
% 3.29/3.50  thf(fact_1357_fst__def,axiom,
% 3.29/3.50      ( product_fst_int_int
% 3.29/3.50      = ( produc8211389475949308722nt_int
% 3.29/3.50        @ ^ [X12: int,X23: int] : X12 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_def
% 3.29/3.50  thf(fact_1358_snd__def,axiom,
% 3.29/3.50      ( produc1126150082675451753t_unit
% 3.29/3.50      = ( produc2552614499379209865t_unit
% 3.29/3.50        @ ^ [X12: ref_a,X23: heap_e7401611519738050253t_unit] : X23 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_def
% 3.29/3.50  thf(fact_1359_snd__def,axiom,
% 3.29/3.50      ( product_snd_int_int
% 3.29/3.50      = ( produc8211389475949308722nt_int
% 3.29/3.50        @ ^ [X12: int,X23: int] : X23 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_def
% 3.29/3.50  thf(fact_1360_map__prod__def,axiom,
% 3.29/3.50      ( produc6036585564866528938nt_int
% 3.29/3.50      = ( ^ [F2: int > int,G3: int > int] :
% 3.29/3.50            ( produc4245557441103728435nt_int
% 3.29/3.50            @ ^ [X4: int,Y5: int] : ( product_Pair_int_int @ ( F2 @ X4 ) @ ( G3 @ Y5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % map_prod_def
% 3.29/3.50  thf(fact_1361_case__prod__map__prod,axiom,
% 3.29/3.50      ! [H: nat > nat > product_prod_nat_nat > product_prod_nat_nat,F: nat > nat,G: nat > nat,X2: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc27273713700761075at_nat @ H @ ( produc6977886695330630970at_nat @ F @ G @ X2 ) )
% 3.29/3.50        = ( produc27273713700761075at_nat
% 3.29/3.50          @ ^ [L3: nat,R5: nat] : ( H @ ( F @ L3 ) @ ( G @ R5 ) )
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_map_prod
% 3.29/3.50  thf(fact_1362_case__prod__map__prod,axiom,
% 3.29/3.50      ! [H: nat > nat > product_prod_nat_nat > $o,F: nat > nat,G: nat > nat,X2: product_prod_nat_nat] :
% 3.29/3.50        ( ( produc8739625826339149834_nat_o @ H @ ( produc6977886695330630970at_nat @ F @ G @ X2 ) )
% 3.29/3.50        = ( produc8739625826339149834_nat_o
% 3.29/3.50          @ ^ [L3: nat,R5: nat] : ( H @ ( F @ L3 ) @ ( G @ R5 ) )
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_map_prod
% 3.29/3.50  thf(fact_1363_case__prod__map__prod,axiom,
% 3.29/3.50      ! [H: int > int > product_prod_int_int,F: int > int,G: int > int,X2: product_prod_int_int] :
% 3.29/3.50        ( ( produc4245557441103728435nt_int @ H @ ( produc6036585564866528938nt_int @ F @ G @ X2 ) )
% 3.29/3.50        = ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [L3: int,R5: int] : ( H @ ( F @ L3 ) @ ( G @ R5 ) )
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_map_prod
% 3.29/3.50  thf(fact_1364_case__prod__map__prod,axiom,
% 3.29/3.50      ! [H: int > int > $o,F: int > int,G: int > int,X2: product_prod_int_int] :
% 3.29/3.50        ( ( produc4947309494688390418_int_o @ H @ ( produc6036585564866528938nt_int @ F @ G @ X2 ) )
% 3.29/3.50        = ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [L3: int,R5: int] : ( H @ ( F @ L3 ) @ ( G @ R5 ) )
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_map_prod
% 3.29/3.50  thf(fact_1365_case__prod__map__prod,axiom,
% 3.29/3.50      ! [H: int > int > int,F: int > int,G: int > int,X2: product_prod_int_int] :
% 3.29/3.50        ( ( produc8211389475949308722nt_int @ H @ ( produc6036585564866528938nt_int @ F @ G @ X2 ) )
% 3.29/3.50        = ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [L3: int,R5: int] : ( H @ ( F @ L3 ) @ ( G @ R5 ) )
% 3.29/3.50          @ X2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_map_prod
% 3.29/3.50  thf(fact_1366_converse__relcompp,axiom,
% 3.29/3.50      ! [R: int > product_prod_nat_nat > $o,S2: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( conver1866313717161370910at_nat @ ( relcom716700242784427165at_nat @ R @ S2 ) )
% 3.29/3.50        = ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ S2 ) @ ( conver1866313717161370910at_nat @ R ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % converse_relcompp
% 3.29/3.50  thf(fact_1367_converse__relcompp,axiom,
% 3.29/3.50      ! [R: code_integer > int > $o,S2: int > int > $o] :
% 3.29/3.50        ( ( conver1462408618118490240er_int @ ( relcom3789353511612409832nt_int @ R @ S2 ) )
% 3.29/3.50        = ( relcom967497705283160040nteger @ ( conversep_int_int @ S2 ) @ ( conver1462408618118490240er_int @ R ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % converse_relcompp
% 3.29/3.50  thf(fact_1368_converse__relcompp,axiom,
% 3.29/3.50      ! [R: product_prod_nat_nat > product_prod_nat_nat > $o,S2: product_prod_nat_nat > int > $o] :
% 3.29/3.50        ( ( conver4689305806000247544at_int @ ( relcom8911704206367525917at_int @ R @ S2 ) )
% 3.29/3.50        = ( relcom716700242784427165at_nat @ ( conver4689305806000247544at_int @ S2 ) @ ( conver6965824823119931701at_nat @ R ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % converse_relcompp
% 3.29/3.50  thf(fact_1369_converse__relcompp,axiom,
% 3.29/3.50      ! [R: int > int > $o,S2: int > code_integer > $o] :
% 3.29/3.50        ( ( conver2101108097643427968nteger @ ( relcom967497705283160040nteger @ R @ S2 ) )
% 3.29/3.50        = ( relcom3789353511612409832nt_int @ ( conver2101108097643427968nteger @ S2 ) @ ( conversep_int_int @ R ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % converse_relcompp
% 3.29/3.50  thf(fact_1370_flip__pred,axiom,
% 3.29/3.50      ! [A4: set_Pr7459493094073627847at_nat,R3: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o] :
% 3.29/3.50        ( ( ord_le5997549366648089703at_nat @ A4 @ ( collec7872792499061297490at_nat @ ( produc9020218426428501292_nat_o @ ( conver9095369822871743413at_nat @ R3 ) ) ) )
% 3.29/3.50       => ( ord_le5997549366648089703at_nat
% 3.29/3.50          @ ( image_3313167189156628421at_nat
% 3.29/3.50            @ ( produc5456455677105495163at_nat
% 3.29/3.50              @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ Y5 @ X4 ) )
% 3.29/3.50            @ A4 )
% 3.29/3.50          @ ( collec7872792499061297490at_nat @ ( produc9020218426428501292_nat_o @ R3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % flip_pred
% 3.29/3.50  thf(fact_1371_flip__pred,axiom,
% 3.29/3.50      ! [A4: set_Pr4329608150637261639at_nat,R3: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.50        ( ( ord_le1268244103169919719at_nat @ A4 @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ ( conver5243090411617913141at_nat @ R3 ) ) ) )
% 3.29/3.50       => ( ord_le1268244103169919719at_nat
% 3.29/3.50          @ ( image_960689587819713477at_nat
% 3.29/3.50            @ ( produc7548845685434208379at_nat
% 3.29/3.50              @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ Y5 @ X4 ) )
% 3.29/3.50            @ A4 )
% 3.29/3.50          @ ( collec6321179662152712658at_nat @ ( produc410239310623530412_nat_o @ R3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % flip_pred
% 3.29/3.50  thf(fact_1372_flip__pred,axiom,
% 3.29/3.50      ! [A4: set_Pr3280342998896498603um_nat,R3: nat > num > $o] :
% 3.29/3.50        ( ( ord_le5164908622851071819um_nat @ A4 @ ( collec1522684865789554998um_nat @ ( produc6857965554392702720_nat_o @ ( conversep_nat_num @ R3 ) ) ) )
% 3.29/3.50       => ( ord_le8085105155179020875at_num
% 3.29/3.50          @ ( image_7762062833379733445at_num
% 3.29/3.50            @ ( produc5219324331026901427at_num
% 3.29/3.50              @ ^ [X4: num,Y5: nat] : ( product_Pair_nat_num @ Y5 @ X4 ) )
% 3.29/3.50            @ A4 )
% 3.29/3.50          @ ( collec4100598399430923318at_num @ ( produc4927758841916487424_num_o @ R3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % flip_pred
% 3.29/3.50  thf(fact_1373_flip__pred,axiom,
% 3.29/3.50      ! [A4: set_Pr1261947904930325089at_nat,R3: nat > nat > $o] :
% 3.29/3.50        ( ( ord_le3146513528884898305at_nat @ A4 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ( conversep_nat_nat @ R3 ) ) ) )
% 3.29/3.50       => ( ord_le3146513528884898305at_nat
% 3.29/3.50          @ ( image_5168914502847457605at_nat
% 3.29/3.50            @ ( produc2626176000494625587at_nat
% 3.29/3.50              @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) )
% 3.29/3.50            @ A4 )
% 3.29/3.50          @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % flip_pred
% 3.29/3.50  thf(fact_1374_flip__pred,axiom,
% 3.29/3.50      ! [A4: set_Pr958786334691620121nt_int,R3: int > int > $o] :
% 3.29/3.50        ( ( ord_le2843351958646193337nt_int @ A4 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ ( conversep_int_int @ R3 ) ) ) )
% 3.29/3.50       => ( ord_le2843351958646193337nt_int
% 3.29/3.50          @ ( image_2653370878348428101nt_int
% 3.29/3.50            @ ( produc4245557441103728435nt_int
% 3.29/3.50              @ ^ [X4: int,Y5: int] : ( product_Pair_int_int @ Y5 @ X4 ) )
% 3.29/3.50            @ A4 )
% 3.29/3.50          @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % flip_pred
% 3.29/3.50  thf(fact_1375_type__copy__wit,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,X2: produc3843707927480180839at_nat,S5: $o > set_Pr4329608150637261639at_nat,Y3: $o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( member8757157785044589968at_nat @ X2 @ ( comp_o4913564575355137019t_unit @ S5 @ Rep @ ( Abs @ Y3 ) ) )
% 3.29/3.50         => ( member8757157785044589968at_nat @ X2 @ ( S5 @ Y3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_wit
% 3.29/3.50  thf(fact_1376_type__copy__wit,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,X2: product_prod_nat_nat,S5: $o > set_Pr1261947904930325089at_nat,Y3: $o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ X2 @ ( comp_o2254869825208929t_unit @ S5 @ Rep @ ( Abs @ Y3 ) ) )
% 3.29/3.50         => ( member8440522571783428010at_nat @ X2 @ ( S5 @ Y3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_wit
% 3.29/3.50  thf(fact_1377_type__copy__wit,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,X2: $o,S5: $o > set_o,Y3: $o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( member_o @ X2 @ ( comp_o6895741221744486154t_unit @ S5 @ Rep @ ( Abs @ Y3 ) ) )
% 3.29/3.50         => ( member_o @ X2 @ ( S5 @ Y3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_wit
% 3.29/3.50  thf(fact_1378_type__copy__wit,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,X2: nat,S5: $o > set_nat,Y3: $o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( member_nat @ X2 @ ( comp_o9190160103024335696t_unit @ S5 @ Rep @ ( Abs @ Y3 ) ) )
% 3.29/3.50         => ( member_nat @ X2 @ ( S5 @ Y3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_wit
% 3.29/3.50  thf(fact_1379_type__copy__wit,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,X2: int,S5: $o > set_int,Y3: $o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( member_int @ X2 @ ( comp_o1521574261646630388t_unit @ S5 @ Rep @ ( Abs @ Y3 ) ) )
% 3.29/3.50         => ( member_int @ X2 @ ( S5 @ Y3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_wit
% 3.29/3.50  thf(fact_1380_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,F: nat > nat,P2: nat > $o,H: nat > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( bNF_vi6818137723729380987_o_o_o @ F @ Rep @ ( bNF_Grp_nat_o @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_o
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1381_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,F: int > int,P2: int > $o,H: int > char] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( bNF_vi9149698133064535136char_o @ F @ Rep @ ( bNF_Grp_int_char @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_int_nat
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_int_nat_int @ ( comp_char_nat_int @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1382_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: $o > char,Abs: char > $o,F: nat > $o,P2: $o > $o,H: $o > char] :
% 3.29/3.50        ( ( type_d9076672964931703357o_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( bNF_vi8816436626763797690char_o @ F @ Rep @ ( bNF_Grp_o_char @ ( collect_o @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_o
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_o_o_nat @ ( comp_char_o_o @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1383_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: num > char,Abs: char > num,F: int > nat,P2: nat > $o,H: nat > char] :
% 3.29/3.50        ( ( type_d4396077731765706521m_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( bNF_vi1300075849944819442char_o @ F @ Rep @ ( bNF_Grp_nat_char @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_int_num
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_num_int @ ( comp_char_num_nat @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1384_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,F: nat > nat,P2: nat > $o,H: nat > char] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( bNF_vi8943400373106913048char_o @ F @ Rep @ ( bNF_Grp_nat_char @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_nat
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_nat_nat @ ( comp_char_nat_nat @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1385_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > rat,Abs: rat > nat,F: int > int,P2: int > $o,H: int > rat] :
% 3.29/3.50        ( ( type_d5615363888691252950at_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( bNF_vi1281217848275042457_rat_o @ F @ Rep @ ( bNF_Grp_int_rat @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_int_nat
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_int_nat_int @ ( comp_rat_nat_int @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1386_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: $o > rat,Abs: rat > $o,F: nat > $o,P2: $o > $o,H: $o > rat] :
% 3.29/3.50        ( ( type_d6486251586359353412_o_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( bNF_vi3868162310295888627_rat_o @ F @ Rep @ ( bNF_Grp_o_rat @ ( collect_o @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_o
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_o_o_nat @ ( comp_rat_o_o @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1387_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: num > rat,Abs: rat > num,F: int > nat,P2: nat > $o,H: nat > rat] :
% 3.29/3.50        ( ( type_d3745694291998722336um_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( bNF_vi7769575839906753835_rat_o @ F @ Rep @ ( bNF_Grp_nat_rat @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_int_num
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_num_int @ ( comp_rat_num_nat @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1388_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > rat,Abs: rat > nat,F: nat > nat,P2: nat > $o,H: nat > rat] :
% 3.29/3.50        ( ( type_d5615363888691252950at_rat @ Rep @ Abs @ top_top_set_rat )
% 3.29/3.50       => ( ( bNF_vi2930123780028963665_rat_o @ F @ Rep @ ( bNF_Grp_nat_rat @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_nat
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_nat_nat @ ( comp_rat_nat_nat @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1389_type__copy__vimage2p__Grp__Rep,axiom,
% 3.29/3.50      ! [Rep: nat > nat,Abs: nat > nat,F: int > int,P2: int > $o,H: int > nat] :
% 3.29/3.50        ( ( type_d6250493948777748686at_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( bNF_vi5018550775591610529_nat_o @ F @ Rep @ ( bNF_Grp_int_nat @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_int_nat
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] : ( P2 @ ( F @ X4 ) ) )
% 3.29/3.50            @ ( comp_int_nat_int @ ( comp_nat_nat_int @ Abs @ H ) @ F ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Rep
% 3.29/3.50  thf(fact_1390_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: nat > num,Abs: num > nat,G: nat > int,P2: int > $o,H: int > nat] :
% 3.29/3.50        ( ( type_d2807825734933527320at_num @ Rep @ Abs @ top_top_set_num )
% 3.29/3.50       => ( ( bNF_vi1731478210338170163_nat_o @ G @ Abs @ ( bNF_Grp_int_nat @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_num
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_int_num_nat @ ( comp_nat_num_int @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1391_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,G: nat > nat,P2: nat > $o,H: nat > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( bNF_vi6818137723729380987_o_o_o @ G @ Abs @ ( bNF_Grp_nat_o @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_o
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1392_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: int > nat,Abs: nat > int,G: int > int,P2: int > $o,H: int > int] :
% 3.29/3.50        ( ( type_d7249847660678803242nt_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( bNF_vi3197508430158922565_int_o @ G @ Abs @ ( bNF_Grp_int_int @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_int_nat
% 3.29/3.50            @ ( collect_int
% 3.29/3.50              @ ^ [X4: int] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_int_nat_int @ ( comp_int_nat_int @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1393_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: int > nat,Abs: nat > int,G: nat > int,P2: int > $o,H: int > int] :
% 3.29/3.50        ( ( type_d7249847660678803242nt_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( bNF_vi8357618154448083105_int_o @ G @ Abs @ ( bNF_Grp_int_int @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_nat
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_int_nat_nat @ ( comp_int_nat_int @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1394_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: nat > nat,Abs: nat > nat,G: nat > nat,P2: nat > $o,H: nat > nat] :
% 3.29/3.50        ( ( type_d6250493948777748686at_nat @ Rep @ Abs @ top_top_set_nat )
% 3.29/3.50       => ( ( bNF_vi6667456707345531737_nat_o @ G @ Abs @ ( bNF_Grp_nat_nat @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_nat
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1395_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,G: nat > $o,P2: $o > $o,H: $o > product_unit] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( bNF_vi5856767400800367702unit_o @ G @ Abs @ ( bNF_Gr395642070819736771t_unit @ ( collect_o @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_o
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_o_o_nat @ ( comp_P5156358013004227690it_o_o @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1396_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,G: nat > nat,P2: nat > $o,H: nat > product_unit] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( bNF_vi1443435967014148806unit_o @ G @ Abs @ ( bNF_Gr1993012052113314029t_unit @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Grp_nat_o
% 3.29/3.50            @ ( collect_nat
% 3.29/3.50              @ ^ [X4: nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_nat_o_nat @ ( comp_P4985893458130756478_o_nat @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1397_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: nat > num,Abs: num > nat,G: product_prod_nat_nat > int,P2: int > $o,H: int > nat] :
% 3.29/3.50        ( ( type_d2807825734933527320at_num @ Rep @ Abs @ top_top_set_num )
% 3.29/3.50       => ( ( bNF_vi9094538908245281400_nat_o @ G @ Abs @ ( bNF_Grp_int_nat @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Gr5974128493091723341at_num
% 3.29/3.50            @ ( collec3392354462482085612at_nat
% 3.29/3.50              @ ^ [X4: product_prod_nat_nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_i1186163378102392086at_nat @ ( comp_nat_num_int @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1398_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: nat > num,Abs: num > nat,G: product_prod_int_int > int,P2: int > $o,H: int > nat] :
% 3.29/3.50        ( ( type_d2807825734933527320at_num @ Rep @ Abs @ top_top_set_num )
% 3.29/3.50       => ( ( bNF_vi1633389952966819264_nat_o @ G @ Abs @ ( bNF_Grp_int_nat @ ( collect_int @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Gr8532703628021589765nt_num
% 3.29/3.50            @ ( collec213857154873943460nt_int
% 3.29/3.50              @ ^ [X4: product_prod_int_int] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_i7231038107349025742nt_int @ ( comp_nat_num_int @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1399_type__copy__vimage2p__Grp__Abs,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,G: product_prod_nat_nat > nat,P2: nat > $o,H: nat > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( bNF_vi9025507403824386624_o_o_o @ G @ Abs @ ( bNF_Grp_nat_o @ ( collect_nat @ P2 ) @ H ) )
% 3.29/3.50          = ( bNF_Gr8859634586176591525_nat_o
% 3.29/3.50            @ ( collec3392354462482085612at_nat
% 3.29/3.50              @ ^ [X4: product_prod_nat_nat] : ( P2 @ ( G @ X4 ) ) )
% 3.29/3.50            @ ( comp_n1662990198670838940at_nat @ ( comp_o_o_nat @ Rep @ H ) @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_vimage2p_Grp_Abs
% 3.29/3.50  thf(fact_1400_exE__realizer,axiom,
% 3.29/3.50      ! [P2: nat > nat > $o,P: product_prod_nat_nat,Q2: ( product_prod_nat_nat > product_prod_nat_nat ) > $o,F: nat > nat > product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.50        ( ( P2 @ ( product_snd_nat_nat @ P ) @ ( product_fst_nat_nat @ P ) )
% 3.29/3.50       => ( ! [X: nat,Y: nat] :
% 3.29/3.50              ( ( P2 @ Y @ X )
% 3.29/3.50             => ( Q2 @ ( F @ X @ Y ) ) )
% 3.29/3.50         => ( Q2 @ ( produc27273713700761075at_nat @ F @ P ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % exE_realizer
% 3.29/3.50  thf(fact_1401_exE__realizer,axiom,
% 3.29/3.50      ! [P2: nat > nat > $o,P: product_prod_nat_nat,Q2: ( product_prod_nat_nat > $o ) > $o,F: nat > nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( P2 @ ( product_snd_nat_nat @ P ) @ ( product_fst_nat_nat @ P ) )
% 3.29/3.50       => ( ! [X: nat,Y: nat] :
% 3.29/3.50              ( ( P2 @ Y @ X )
% 3.29/3.50             => ( Q2 @ ( F @ X @ Y ) ) )
% 3.29/3.50         => ( Q2 @ ( produc8739625826339149834_nat_o @ F @ P ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % exE_realizer
% 3.29/3.50  thf(fact_1402_exE__realizer,axiom,
% 3.29/3.50      ! [P2: int > int > $o,P: product_prod_int_int,Q2: product_prod_int_int > $o,F: int > int > product_prod_int_int] :
% 3.29/3.50        ( ( P2 @ ( product_snd_int_int @ P ) @ ( product_fst_int_int @ P ) )
% 3.29/3.50       => ( ! [X: int,Y: int] :
% 3.29/3.50              ( ( P2 @ Y @ X )
% 3.29/3.50             => ( Q2 @ ( F @ X @ Y ) ) )
% 3.29/3.50         => ( Q2 @ ( produc4245557441103728435nt_int @ F @ P ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % exE_realizer
% 3.29/3.50  thf(fact_1403_exE__realizer,axiom,
% 3.29/3.50      ! [P2: int > int > $o,P: product_prod_int_int,Q2: $o > $o,F: int > int > $o] :
% 3.29/3.50        ( ( P2 @ ( product_snd_int_int @ P ) @ ( product_fst_int_int @ P ) )
% 3.29/3.50       => ( ! [X: int,Y: int] :
% 3.29/3.50              ( ( P2 @ Y @ X )
% 3.29/3.50             => ( Q2 @ ( F @ X @ Y ) ) )
% 3.29/3.50         => ( Q2 @ ( produc4947309494688390418_int_o @ F @ P ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % exE_realizer
% 3.29/3.50  thf(fact_1404_exE__realizer,axiom,
% 3.29/3.50      ! [P2: int > int > $o,P: product_prod_int_int,Q2: int > $o,F: int > int > int] :
% 3.29/3.50        ( ( P2 @ ( product_snd_int_int @ P ) @ ( product_fst_int_int @ P ) )
% 3.29/3.50       => ( ! [X: int,Y: int] :
% 3.29/3.50              ( ( P2 @ Y @ X )
% 3.29/3.50             => ( Q2 @ ( F @ X @ Y ) ) )
% 3.29/3.50         => ( Q2 @ ( produc8211389475949308722nt_int @ F @ P ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % exE_realizer
% 3.29/3.50  thf(fact_1405_case__prod__beta_H,axiom,
% 3.29/3.50      ( produc27273713700761075at_nat
% 3.29/3.50      = ( ^ [F2: nat > nat > product_prod_nat_nat > product_prod_nat_nat,X4: product_prod_nat_nat] : ( F2 @ ( product_fst_nat_nat @ X4 ) @ ( product_snd_nat_nat @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_beta'
% 3.29/3.50  thf(fact_1406_case__prod__beta_H,axiom,
% 3.29/3.50      ( produc8739625826339149834_nat_o
% 3.29/3.50      = ( ^ [F2: nat > nat > product_prod_nat_nat > $o,X4: product_prod_nat_nat] : ( F2 @ ( product_fst_nat_nat @ X4 ) @ ( product_snd_nat_nat @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_beta'
% 3.29/3.50  thf(fact_1407_case__prod__beta_H,axiom,
% 3.29/3.50      ( produc4245557441103728435nt_int
% 3.29/3.50      = ( ^ [F2: int > int > product_prod_int_int,X4: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ X4 ) @ ( product_snd_int_int @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_beta'
% 3.29/3.50  thf(fact_1408_case__prod__beta_H,axiom,
% 3.29/3.50      ( produc4947309494688390418_int_o
% 3.29/3.50      = ( ^ [F2: int > int > $o,X4: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ X4 ) @ ( product_snd_int_int @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_beta'
% 3.29/3.50  thf(fact_1409_case__prod__beta_H,axiom,
% 3.29/3.50      ( produc8211389475949308722nt_int
% 3.29/3.50      = ( ^ [F2: int > int > int,X4: product_prod_int_int] : ( F2 @ ( product_fst_int_int @ X4 ) @ ( product_snd_int_int @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_beta'
% 3.29/3.50  thf(fact_1410_case__prod__unfold,axiom,
% 3.29/3.50      ( produc27273713700761075at_nat
% 3.29/3.50      = ( ^ [C4: nat > nat > product_prod_nat_nat > product_prod_nat_nat,P3: product_prod_nat_nat] : ( C4 @ ( product_fst_nat_nat @ P3 ) @ ( product_snd_nat_nat @ P3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_unfold
% 3.29/3.50  thf(fact_1411_case__prod__unfold,axiom,
% 3.29/3.50      ( produc8739625826339149834_nat_o
% 3.29/3.50      = ( ^ [C4: nat > nat > product_prod_nat_nat > $o,P3: product_prod_nat_nat] : ( C4 @ ( product_fst_nat_nat @ P3 ) @ ( product_snd_nat_nat @ P3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_unfold
% 3.29/3.50  thf(fact_1412_case__prod__unfold,axiom,
% 3.29/3.50      ( produc4245557441103728435nt_int
% 3.29/3.50      = ( ^ [C4: int > int > product_prod_int_int,P3: product_prod_int_int] : ( C4 @ ( product_fst_int_int @ P3 ) @ ( product_snd_int_int @ P3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_unfold
% 3.29/3.50  thf(fact_1413_case__prod__unfold,axiom,
% 3.29/3.50      ( produc4947309494688390418_int_o
% 3.29/3.50      = ( ^ [C4: int > int > $o,P3: product_prod_int_int] : ( C4 @ ( product_fst_int_int @ P3 ) @ ( product_snd_int_int @ P3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_unfold
% 3.29/3.50  thf(fact_1414_case__prod__unfold,axiom,
% 3.29/3.50      ( produc8211389475949308722nt_int
% 3.29/3.50      = ( ^ [C4: int > int > int,P3: product_prod_int_int] : ( C4 @ ( product_fst_int_int @ P3 ) @ ( product_snd_int_int @ P3 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_unfold
% 3.29/3.50  thf(fact_1415_pred__subset__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr7459493094073627847at_nat,S5: set_Pr7459493094073627847at_nat] :
% 3.29/3.50        ( ( ord_le3072208448688395470_nat_o
% 3.29/3.50          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.50          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.50        = ( ord_le5997549366648089703at_nat @ R3 @ S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_subset_eq2
% 3.29/3.50  thf(fact_1416_pred__subset__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr4329608150637261639at_nat,S5: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( ord_le3935385432712749774_nat_o
% 3.29/3.50          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.50          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.50        = ( ord_le1268244103169919719at_nat @ R3 @ S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_subset_eq2
% 3.29/3.50  thf(fact_1417_pred__subset__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr6200539531224447659at_num,S5: set_Pr6200539531224447659at_num] :
% 3.29/3.50        ( ( ord_le3404735783095501756_num_o
% 3.29/3.50          @ ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ R3 )
% 3.29/3.50          @ ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.50        = ( ord_le8085105155179020875at_num @ R3 @ S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_subset_eq2
% 3.29/3.50  thf(fact_1418_pred__subset__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr1261947904930325089at_nat,S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( ord_le2646555220125990790_nat_o
% 3.29/3.50          @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.50          @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.50        = ( ord_le3146513528884898305at_nat @ R3 @ S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_subset_eq2
% 3.29/3.50  thf(fact_1419_pred__subset__eq2,axiom,
% 3.29/3.50      ! [R3: set_Pr958786334691620121nt_int,S5: set_Pr958786334691620121nt_int] :
% 3.29/3.50        ( ( ord_le6741204236512500942_int_o
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R3 )
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.50        = ( ord_le2843351958646193337nt_int @ R3 @ S5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % pred_subset_eq2
% 3.29/3.50  thf(fact_1420_comp__fun__commute__on__def,axiom,
% 3.29/3.50      ( finite8619596206551965927at_nat
% 3.29/3.50      = ( ^ [S4: set_Pr4329608150637261639at_nat,F2: produc3843707927480180839at_nat > nat > nat] :
% 3.29/3.50          ! [X4: produc3843707927480180839at_nat,Y5: produc3843707927480180839at_nat] :
% 3.29/3.50            ( ( member8757157785044589968at_nat @ X4 @ S4 )
% 3.29/3.50           => ( ( member8757157785044589968at_nat @ Y5 @ S4 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F2 @ Y5 ) @ ( F2 @ X4 ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on_def
% 3.29/3.50  thf(fact_1421_comp__fun__commute__on__def,axiom,
% 3.29/3.50      ( finite2110315540964234241at_nat
% 3.29/3.50      = ( ^ [S4: set_Pr1261947904930325089at_nat,F2: product_prod_nat_nat > nat > nat] :
% 3.29/3.50          ! [X4: product_prod_nat_nat,Y5: product_prod_nat_nat] :
% 3.29/3.50            ( ( member8440522571783428010at_nat @ X4 @ S4 )
% 3.29/3.50           => ( ( member8440522571783428010at_nat @ Y5 @ S4 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F2 @ Y5 ) @ ( F2 @ X4 ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on_def
% 3.29/3.50  thf(fact_1422_comp__fun__commute__on__def,axiom,
% 3.29/3.50      ( finite4703585013658510744_o_nat
% 3.29/3.50      = ( ^ [S4: set_o,F2: $o > nat > nat] :
% 3.29/3.50          ! [X4: $o,Y5: $o] :
% 3.29/3.50            ( ( member_o @ X4 @ S4 )
% 3.29/3.50           => ( ( member_o @ Y5 @ S4 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F2 @ Y5 ) @ ( F2 @ X4 ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on_def
% 3.29/3.50  thf(fact_1423_comp__fun__commute__on__def,axiom,
% 3.29/3.50      ( finite3582905537739598962at_nat
% 3.29/3.50      = ( ^ [S4: set_nat,F2: nat > nat > nat] :
% 3.29/3.50          ! [X4: nat,Y5: nat] :
% 3.29/3.50            ( ( member_nat @ X4 @ S4 )
% 3.29/3.50           => ( ( member_nat @ Y5 @ S4 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F2 @ Y5 ) @ ( F2 @ X4 ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on_def
% 3.29/3.50  thf(fact_1424_comp__fun__commute__on__def,axiom,
% 3.29/3.50      ( finite4582259249640653518nt_nat
% 3.29/3.50      = ( ^ [S4: set_int,F2: int > nat > nat] :
% 3.29/3.50          ! [X4: int,Y5: int] :
% 3.29/3.50            ( ( member_int @ X4 @ S4 )
% 3.29/3.50           => ( ( member_int @ Y5 @ S4 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F2 @ Y5 ) @ ( F2 @ X4 ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on_def
% 3.29/3.50  thf(fact_1425_comp__fun__commute__on_Ocomp__fun__commute__on,axiom,
% 3.29/3.50      ! [S5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > nat > nat,X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat] :
% 3.29/3.50        ( ( finite8619596206551965927at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member8757157785044589968at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member8757157785044589968at_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( F @ X2 ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.comp_fun_commute_on
% 3.29/3.50  thf(fact_1426_comp__fun__commute__on_Ocomp__fun__commute__on,axiom,
% 3.29/3.50      ! [S5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > nat > nat,X2: product_prod_nat_nat,Y3: product_prod_nat_nat] :
% 3.29/3.50        ( ( finite2110315540964234241at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member8440522571783428010at_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( F @ X2 ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.comp_fun_commute_on
% 3.29/3.50  thf(fact_1427_comp__fun__commute__on_Ocomp__fun__commute__on,axiom,
% 3.29/3.50      ! [S5: set_o,F: $o > nat > nat,X2: $o,Y3: $o] :
% 3.29/3.50        ( ( finite4703585013658510744_o_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_o @ X2 @ S5 )
% 3.29/3.50         => ( ( member_o @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( F @ X2 ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.comp_fun_commute_on
% 3.29/3.50  thf(fact_1428_comp__fun__commute__on_Ocomp__fun__commute__on,axiom,
% 3.29/3.50      ! [S5: set_nat,F: nat > nat > nat,X2: nat,Y3: nat] :
% 3.29/3.50        ( ( finite3582905537739598962at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( F @ X2 ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.comp_fun_commute_on
% 3.29/3.50  thf(fact_1429_comp__fun__commute__on_Ocomp__fun__commute__on,axiom,
% 3.29/3.50      ! [S5: set_int,F: int > nat > nat,X2: int,Y3: int] :
% 3.29/3.50        ( ( finite4582259249640653518nt_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_int @ X2 @ S5 )
% 3.29/3.50         => ( ( member_int @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( F @ X2 ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.comp_fun_commute_on
% 3.29/3.50  thf(fact_1430_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > $o > $o,X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat,G: nat > $o] :
% 3.29/3.50        ( ( finite2818816984019561153_nat_o @ S5 @ F )
% 3.29/3.50       => ( ( member8757157785044589968at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member8757157785044589968at_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_o_o_nat @ ( F @ Y3 ) @ ( comp_o_o_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_o_o_nat @ ( F @ X2 ) @ ( comp_o_o_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1431_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > nat > nat,X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat,G: nat > nat] :
% 3.29/3.50        ( ( finite8619596206551965927at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member8757157785044589968at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member8757157785044589968at_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( comp_nat_nat_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( comp_nat_nat_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1432_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > $o > $o,X2: product_prod_nat_nat,Y3: product_prod_nat_nat,G: nat > $o] :
% 3.29/3.50        ( ( finite1496024664758132007_nat_o @ S5 @ F )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member8440522571783428010at_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_o_o_nat @ ( F @ Y3 ) @ ( comp_o_o_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_o_o_nat @ ( F @ X2 ) @ ( comp_o_o_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1433_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > nat > nat,X2: product_prod_nat_nat,Y3: product_prod_nat_nat,G: nat > nat] :
% 3.29/3.50        ( ( finite2110315540964234241at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member8440522571783428010at_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( comp_nat_nat_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( comp_nat_nat_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1434_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_o,F: $o > $o > $o,X2: $o,Y3: $o,G: nat > $o] :
% 3.29/3.50        ( ( finite7905178416053733328on_o_o @ S5 @ F )
% 3.29/3.50       => ( ( member_o @ X2 @ S5 )
% 3.29/3.50         => ( ( member_o @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_o_o_nat @ ( F @ Y3 ) @ ( comp_o_o_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_o_o_nat @ ( F @ X2 ) @ ( comp_o_o_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1435_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_o,F: $o > nat > nat,X2: $o,Y3: $o,G: nat > nat] :
% 3.29/3.50        ( ( finite4703585013658510744_o_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_o @ X2 @ S5 )
% 3.29/3.50         => ( ( member_o @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( comp_nat_nat_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( comp_nat_nat_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1436_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_nat,F: nat > $o > $o,X2: nat,Y3: nat,G: nat > $o] :
% 3.29/3.50        ( ( finite7806256374766696054_nat_o @ S5 @ F )
% 3.29/3.50       => ( ( member_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_o_o_nat @ ( F @ Y3 ) @ ( comp_o_o_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_o_o_nat @ ( F @ X2 ) @ ( comp_o_o_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1437_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_nat,F: nat > nat > nat,X2: nat,Y3: nat,G: nat > nat] :
% 3.29/3.50        ( ( finite3582905537739598962at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( member_nat @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( comp_nat_nat_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( comp_nat_nat_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1438_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_int,F: int > $o > $o,X2: int,Y3: int,G: nat > $o] :
% 3.29/3.50        ( ( finite5985214029334008090_int_o @ S5 @ F )
% 3.29/3.50       => ( ( member_int @ X2 @ S5 )
% 3.29/3.50         => ( ( member_int @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_o_o_nat @ ( F @ Y3 ) @ ( comp_o_o_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_o_o_nat @ ( F @ X2 ) @ ( comp_o_o_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1439_comp__fun__commute__on_Ocommute__left__comp,axiom,
% 3.29/3.50      ! [S5: set_int,F: int > nat > nat,X2: int,Y3: int,G: nat > nat] :
% 3.29/3.50        ( ( finite4582259249640653518nt_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_int @ X2 @ S5 )
% 3.29/3.50         => ( ( member_int @ Y3 @ S5 )
% 3.29/3.50           => ( ( comp_nat_nat_nat @ ( F @ Y3 ) @ ( comp_nat_nat_nat @ ( F @ X2 ) @ G ) )
% 3.29/3.50              = ( comp_nat_nat_nat @ ( F @ X2 ) @ ( comp_nat_nat_nat @ ( F @ Y3 ) @ G ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.commute_left_comp
% 3.29/3.50  thf(fact_1440_comp__fun__commute__on_Ointro,axiom,
% 3.29/3.50      ! [S5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > nat > nat] :
% 3.29/3.50        ( ! [X: produc3843707927480180839at_nat,Y: produc3843707927480180839at_nat] :
% 3.29/3.50            ( ( member8757157785044589968at_nat @ X @ S5 )
% 3.29/3.50           => ( ( member8757157785044589968at_nat @ Y @ S5 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F @ Y ) @ ( F @ X ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F @ X ) @ ( F @ Y ) ) ) ) )
% 3.29/3.50       => ( finite8619596206551965927at_nat @ S5 @ F ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.intro
% 3.29/3.50  thf(fact_1441_comp__fun__commute__on_Ointro,axiom,
% 3.29/3.50      ! [S5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > nat > nat] :
% 3.29/3.50        ( ! [X: product_prod_nat_nat,Y: product_prod_nat_nat] :
% 3.29/3.50            ( ( member8440522571783428010at_nat @ X @ S5 )
% 3.29/3.50           => ( ( member8440522571783428010at_nat @ Y @ S5 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F @ Y ) @ ( F @ X ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F @ X ) @ ( F @ Y ) ) ) ) )
% 3.29/3.50       => ( finite2110315540964234241at_nat @ S5 @ F ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.intro
% 3.29/3.50  thf(fact_1442_comp__fun__commute__on_Ointro,axiom,
% 3.29/3.50      ! [S5: set_o,F: $o > nat > nat] :
% 3.29/3.50        ( ! [X: $o,Y: $o] :
% 3.29/3.50            ( ( member_o @ X @ S5 )
% 3.29/3.50           => ( ( member_o @ Y @ S5 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F @ Y ) @ ( F @ X ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F @ X ) @ ( F @ Y ) ) ) ) )
% 3.29/3.50       => ( finite4703585013658510744_o_nat @ S5 @ F ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.intro
% 3.29/3.50  thf(fact_1443_comp__fun__commute__on_Ointro,axiom,
% 3.29/3.50      ! [S5: set_nat,F: nat > nat > nat] :
% 3.29/3.50        ( ! [X: nat,Y: nat] :
% 3.29/3.50            ( ( member_nat @ X @ S5 )
% 3.29/3.50           => ( ( member_nat @ Y @ S5 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F @ Y ) @ ( F @ X ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F @ X ) @ ( F @ Y ) ) ) ) )
% 3.29/3.50       => ( finite3582905537739598962at_nat @ S5 @ F ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.intro
% 3.29/3.50  thf(fact_1444_comp__fun__commute__on_Ointro,axiom,
% 3.29/3.50      ! [S5: set_int,F: int > nat > nat] :
% 3.29/3.50        ( ! [X: int,Y: int] :
% 3.29/3.50            ( ( member_int @ X @ S5 )
% 3.29/3.50           => ( ( member_int @ Y @ S5 )
% 3.29/3.50             => ( ( comp_nat_nat_nat @ ( F @ Y ) @ ( F @ X ) )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( F @ X ) @ ( F @ Y ) ) ) ) )
% 3.29/3.50       => ( finite4582259249640653518nt_nat @ S5 @ F ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_commute_on.intro
% 3.29/3.50  thf(fact_1445_case__prod__o__map__prod,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > product_prod_nat_nat,G1: nat > nat,G22: nat > nat] :
% 3.29/3.50        ( ( comp_P3913276677246710332at_nat @ ( produc27273713700761075at_nat @ F ) @ ( produc6977886695330630970at_nat @ G1 @ G22 ) )
% 3.29/3.50        = ( produc27273713700761075at_nat
% 3.29/3.50          @ ^ [L3: nat,R5: nat] : ( F @ ( G1 @ L3 ) @ ( G22 @ R5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_o_map_prod
% 3.29/3.50  thf(fact_1446_case__prod__o__map__prod,axiom,
% 3.29/3.50      ! [F: nat > nat > product_prod_nat_nat > $o,G1: nat > nat,G22: nat > nat] :
% 3.29/3.50        ( ( comp_P2002127591014248037at_nat @ ( produc8739625826339149834_nat_o @ F ) @ ( produc6977886695330630970at_nat @ G1 @ G22 ) )
% 3.29/3.50        = ( produc8739625826339149834_nat_o
% 3.29/3.50          @ ^ [L3: nat,R5: nat] : ( F @ ( G1 @ L3 ) @ ( G22 @ R5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_o_map_prod
% 3.29/3.50  thf(fact_1447_case__prod__o__map__prod,axiom,
% 3.29/3.50      ! [F: int > int > product_prod_int_int,G1: int > int,G22: int > int] :
% 3.29/3.50        ( ( comp_P2788356708182965334nt_int @ ( produc4245557441103728435nt_int @ F ) @ ( produc6036585564866528938nt_int @ G1 @ G22 ) )
% 3.29/3.50        = ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [L3: int,R5: int] : ( F @ ( G1 @ L3 ) @ ( G22 @ R5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_o_map_prod
% 3.29/3.50  thf(fact_1448_case__prod__o__map__prod,axiom,
% 3.29/3.50      ! [F: int > int > $o,G1: int > int,G22: int > int] :
% 3.29/3.50        ( ( comp_P9034173210191959223nt_int @ ( produc4947309494688390418_int_o @ F ) @ ( produc6036585564866528938nt_int @ G1 @ G22 ) )
% 3.29/3.50        = ( produc4947309494688390418_int_o
% 3.29/3.50          @ ^ [L3: int,R5: int] : ( F @ ( G1 @ L3 ) @ ( G22 @ R5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_o_map_prod
% 3.29/3.50  thf(fact_1449_case__prod__o__map__prod,axiom,
% 3.29/3.50      ! [F: int > int > int,G1: int > int,G22: int > int] :
% 3.29/3.50        ( ( comp_P5356232565778667509nt_int @ ( produc8211389475949308722nt_int @ F ) @ ( produc6036585564866528938nt_int @ G1 @ G22 ) )
% 3.29/3.50        = ( produc8211389475949308722nt_int
% 3.29/3.50          @ ^ [L3: int,R5: int] : ( F @ ( G1 @ L3 ) @ ( G22 @ R5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_o_map_prod
% 3.29/3.50  thf(fact_1450_vimage2p__relcompp__converse,axiom,
% 3.29/3.50      ! [Rep: product_prod_nat_nat > product_prod_nat_nat,Abs: product_prod_nat_nat > product_prod_nat_nat,F: product_prod_nat_nat > product_prod_nat_nat,G: int > int,R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o] :
% 3.29/3.50        ( ( type_d281131942595027436at_nat @ Rep @ Abs @ top_to4669805908274784177at_nat )
% 3.29/3.50       => ( ( bNF_vi5426221348228882691_int_o @ F @ G @ ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ R3 ) @ S5 ) )
% 3.29/3.50          = ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ ( bNF_vi763171854521451549_nat_o @ Rep @ F @ R3 ) ) @ ( bNF_vi5426221348228882691_int_o @ Rep @ G @ S5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_relcompp_converse
% 3.29/3.50  thf(fact_1451_vimage2p__relcompp__converse,axiom,
% 3.29/3.50      ! [Rep: int > product_prod_nat_nat,Abs: product_prod_nat_nat > int,F: int > product_prod_nat_nat,G: code_integer > int,R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o] :
% 3.29/3.50        ( ( type_d7732240953928457511at_nat @ Rep @ Abs @ top_to4669805908274784177at_nat )
% 3.29/3.50       => ( ( bNF_vi2881549544236934259_int_o @ F @ G @ ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ R3 ) @ S5 ) )
% 3.29/3.50          = ( relcom967497705283160040nteger @ ( conversep_int_int @ ( bNF_vi1204582724742824157_nat_o @ Rep @ F @ R3 ) ) @ ( bNF_vi2881549544236934259_int_o @ Rep @ G @ S5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_relcompp_converse
% 3.29/3.50  thf(fact_1452_vimage2p__relcompp__converse,axiom,
% 3.29/3.50      ! [Rep: product_prod_nat_nat > int,Abs: int > product_prod_nat_nat,F: product_prod_nat_nat > int,G: int > code_integer,R3: int > int > $o,S5: int > code_integer > $o] :
% 3.29/3.50        ( ( type_d1331861005912558337at_int @ Rep @ Abs @ top_top_set_int )
% 3.29/3.50       => ( ( bNF_vi33923956287962137eger_o @ F @ G @ ( relcom967497705283160040nteger @ ( conversep_int_int @ R3 ) @ S5 ) )
% 3.29/3.50          = ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ ( bNF_vi2682369418337388893_int_o @ Rep @ F @ R3 ) ) @ ( bNF_vi33923956287962137eger_o @ Rep @ G @ S5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_relcompp_converse
% 3.29/3.50  thf(fact_1453_vimage2p__relcompp__converse,axiom,
% 3.29/3.50      ! [Rep: int > int,Abs: int > int,F: int > int,G: code_integer > code_integer,R3: int > int > $o,S5: int > code_integer > $o] :
% 3.29/3.50        ( ( type_d7247357190169752966nt_int @ Rep @ Abs @ top_top_set_int )
% 3.29/3.50       => ( ( bNF_vi699694178825965831eger_o @ F @ G @ ( relcom967497705283160040nteger @ ( conversep_int_int @ R3 ) @ S5 ) )
% 3.29/3.50          = ( relcom967497705283160040nteger @ ( conversep_int_int @ ( bNF_vi3884084463199473129_int_o @ Rep @ F @ R3 ) ) @ ( bNF_vi699694178825965831eger_o @ Rep @ G @ S5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % vimage2p_relcompp_converse
% 3.29/3.50  thf(fact_1454_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ X2 @ Y3 ) @ ( id_on_7869290023980668164at_nat @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member8757157785044589968at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1455_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_nat_nat,Y3: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ ( id_on_2554058798563519774at_nat @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member8440522571783428010at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1456_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: $o,Y3: $o,A4: set_o] :
% 3.29/3.50        ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ X2 @ Y3 ) @ ( id_on_o @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member_o @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1457_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) @ ( id_on_3275838214495744996at_nat @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member6273874620674182256at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1458_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ ( id_on_6713504163309144702at_nat @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member2643936169264416010at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1459_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: nat,Y3: nat,A4: set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ ( id_on_nat @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1460_Id__on__iff,axiom,
% 3.29/3.50      ! [X2: int,Y3: int,A4: set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ ( id_on_int @ A4 ) )
% 3.29/3.50        = ( ( X2 = Y3 )
% 3.29/3.50          & ( member_int @ X2 @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_iff
% 3.29/3.50  thf(fact_1461_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: produc3843707927480180839at_nat,B: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.50         => ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ A @ B ) @ ( id_on_7869290023980668164at_nat @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1462_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: product_prod_nat_nat,B: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.50         => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ ( id_on_2554058798563519774at_nat @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1463_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: $o,B: $o,A4: set_o] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member_o @ A @ A4 )
% 3.29/3.50         => ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ ( id_on_o @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1464_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member6273874620674182256at_nat @ A @ A4 )
% 3.29/3.50         => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ ( id_on_3275838214495744996at_nat @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1465_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member2643936169264416010at_nat @ A @ A4 )
% 3.29/3.50         => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ ( id_on_6713504163309144702at_nat @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1466_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_nat] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member_nat @ A @ A4 )
% 3.29/3.50         => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ ( id_on_nat @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1467_Id__on__eqI,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_int] :
% 3.29/3.50        ( ( A = B )
% 3.29/3.50       => ( ( member_int @ A @ A4 )
% 3.29/3.50         => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ ( id_on_int @ A4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_on_eqI
% 3.29/3.50  thf(fact_1468_Id__onE,axiom,
% 3.29/3.50      ! [C: produc1906917888121415911at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( member6009668390874684176at_nat @ C @ ( id_on_7869290023980668164at_nat @ A4 ) )
% 3.29/3.50       => ~ ! [X: produc3843707927480180839at_nat] :
% 3.29/3.50              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( produc2335810615602371415at_nat @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1469_Id__onE,axiom,
% 3.29/3.50      ! [C: produc859450856879609959at_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( member8206827879206165904at_nat @ C @ ( id_on_2554058798563519774at_nat @ A4 ) )
% 3.29/3.50       => ~ ! [X: product_prod_nat_nat] :
% 3.29/3.50              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( produc6161850002892822231at_nat @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1470_Id__onE,axiom,
% 3.29/3.50      ! [C: product_prod_o_o,A4: set_o] :
% 3.29/3.50        ( ( member7466972457876170832od_o_o @ C @ ( id_on_o @ A4 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( member_o @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( product_Pair_o_o @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1471_Id__onE,axiom,
% 3.29/3.50      ! [C: produc1319942482725812455at_nat,A4: set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( member1466754251312161552at_nat @ C @ ( id_on_3275838214495744996at_nat @ A4 ) )
% 3.29/3.50       => ~ ! [X: set_Pr4329608150637261639at_nat] :
% 3.29/3.50              ( ( member6273874620674182256at_nat @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( produc9060074326276436823at_nat @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1472_Id__onE,axiom,
% 3.29/3.50      ! [C: produc3843707927480180839at_nat,A4: set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ C @ ( id_on_6713504163309144702at_nat @ A4 ) )
% 3.29/3.50       => ~ ! [X: set_Pr1261947904930325089at_nat] :
% 3.29/3.50              ( ( member2643936169264416010at_nat @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( produc2922128104949294807at_nat @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1473_Id__onE,axiom,
% 3.29/3.50      ! [C: product_prod_nat_nat,A4: set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ C @ ( id_on_nat @ A4 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( product_Pair_nat_nat @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1474_Id__onE,axiom,
% 3.29/3.50      ! [C: product_prod_int_int,A4: set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ C @ ( id_on_int @ A4 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ A4 )
% 3.29/3.50             => ( C
% 3.29/3.50               != ( product_Pair_int_int @ X @ X ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Id_onE
% 3.29/3.50  thf(fact_1475_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: nat > nat > $o,R22: nat > nat > $o,P2: nat > nat > $o,Q2: nat > nat > $o,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B: product_prod_nat_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( bNF_re578469030762574527_nat_o @ R1
% 3.29/3.50          @ ( bNF_re4705727531993890431at_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.50         => ( ( member8440522571783428010at_nat @ B @ B5 )
% 3.29/3.50           => ( ( ord_le3146513528884898305at_nat @ A4 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le3146513528884898305at_nat @ B5 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( product_fst_nat_nat @ A ) @ ( product_fst_nat_nat @ B ) )
% 3.29/3.50                  = ( Q2 @ ( product_snd_nat_nat @ A ) @ ( product_snd_nat_nat @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1476_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: nat > nat > $o,R22: int > int > $o,P2: nat > int > $o,Q2: nat > int > $o,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B: product_prod_int_int,B5: set_Pr958786334691620121nt_int] :
% 3.29/3.50        ( ( bNF_re605504016728627135_int_o @ R1
% 3.29/3.50          @ ( bNF_re5089333283451836215nt_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.50         => ( ( member5262025264175285858nt_int @ B @ B5 )
% 3.29/3.50           => ( ( ord_le3146513528884898305at_nat @ A4 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le2843351958646193337nt_int @ B5 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( product_fst_nat_nat @ A ) @ ( product_fst_int_int @ B ) )
% 3.29/3.50                  = ( Q2 @ ( product_snd_nat_nat @ A ) @ ( product_snd_int_int @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1477_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: int > int > $o,R22: nat > nat > $o,P2: int > nat > $o,Q2: int > nat > $o,A: product_prod_int_int,A4: set_Pr958786334691620121nt_int,B: product_prod_nat_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( bNF_re3376528473927230327_nat_o @ R1
% 3.29/3.50          @ ( bNF_re4705727531993890431at_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member5262025264175285858nt_int @ A @ A4 )
% 3.29/3.50         => ( ( member8440522571783428010at_nat @ B @ B5 )
% 3.29/3.50           => ( ( ord_le2843351958646193337nt_int @ A4 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le3146513528884898305at_nat @ B5 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( product_fst_int_int @ A ) @ ( product_fst_nat_nat @ B ) )
% 3.29/3.50                  = ( Q2 @ ( product_snd_int_int @ A ) @ ( product_snd_nat_nat @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1478_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: int > int > $o,R22: int > int > $o,P2: int > int > $o,Q2: int > int > $o,A: product_prod_int_int,A4: set_Pr958786334691620121nt_int,B: product_prod_int_int,B5: set_Pr958786334691620121nt_int] :
% 3.29/3.50        ( ( bNF_re3403563459893282935_int_o @ R1
% 3.29/3.50          @ ( bNF_re5089333283451836215nt_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member5262025264175285858nt_int @ A @ A4 )
% 3.29/3.50         => ( ( member5262025264175285858nt_int @ B @ B5 )
% 3.29/3.50           => ( ( ord_le2843351958646193337nt_int @ A4 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le2843351958646193337nt_int @ B5 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( product_fst_int_int @ A ) @ ( product_fst_int_int @ B ) )
% 3.29/3.50                  = ( Q2 @ ( product_snd_int_int @ A ) @ ( product_snd_int_int @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1479_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: nat > nat > $o,R22: ref_a > heap_e7401611519738050253t_unit > $o,P2: nat > ref_a > $o,Q2: nat > heap_e7401611519738050253t_unit > $o,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B: produc7812382424243267045t_unit,B5: set_Pr1133966238863718811t_unit] :
% 3.29/3.50        ( ( bNF_re5655699643857186083unit_o @ R1
% 3.29/3.50          @ ( bNF_re1850668159662942673it_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.50         => ( ( member7849944260330398460t_unit @ B @ B5 )
% 3.29/3.50           => ( ( ord_le3146513528884898305at_nat @ A4 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le5525191956872776187t_unit @ B5 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( product_fst_nat_nat @ A ) @ ( produc473321116828791851t_unit @ B ) )
% 3.29/3.50                  = ( Q2 @ ( product_snd_nat_nat @ A ) @ ( produc1126150082675451753t_unit @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1480_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: ref_a > heap_e7401611519738050253t_unit > $o,R22: nat > nat > $o,P2: ref_a > nat > $o,Q2: heap_e7401611519738050253t_unit > nat > $o,A: produc7812382424243267045t_unit,A4: set_Pr1133966238863718811t_unit,B: product_prod_nat_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( bNF_re9202112420002600977_nat_o @ R1
% 3.29/3.50          @ ( bNF_re4705727531993890431at_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member7849944260330398460t_unit @ A @ A4 )
% 3.29/3.50         => ( ( member8440522571783428010at_nat @ B @ B5 )
% 3.29/3.50           => ( ( ord_le5525191956872776187t_unit @ A4 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le3146513528884898305at_nat @ B5 @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( produc473321116828791851t_unit @ A ) @ ( product_fst_nat_nat @ B ) )
% 3.29/3.50                  = ( Q2 @ ( produc1126150082675451753t_unit @ A ) @ ( product_snd_nat_nat @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1481_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: ref_a > heap_e7401611519738050253t_unit > $o,R22: int > int > $o,P2: ref_a > int > $o,Q2: heap_e7401611519738050253t_unit > int > $o,A: produc7812382424243267045t_unit,A4: set_Pr1133966238863718811t_unit,B: product_prod_int_int,B5: set_Pr958786334691620121nt_int] :
% 3.29/3.50        ( ( bNF_re5775369113877777_int_o @ R1
% 3.29/3.50          @ ( bNF_re5089333283451836215nt_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member7849944260330398460t_unit @ A @ A4 )
% 3.29/3.50         => ( ( member5262025264175285858nt_int @ B @ B5 )
% 3.29/3.50           => ( ( ord_le5525191956872776187t_unit @ A4 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le2843351958646193337nt_int @ B5 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( produc473321116828791851t_unit @ A ) @ ( product_fst_int_int @ B ) )
% 3.29/3.50                  = ( Q2 @ ( produc1126150082675451753t_unit @ A ) @ ( product_snd_int_int @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1482_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: int > int > $o,R22: ref_a > heap_e7401611519738050253t_unit > $o,P2: int > ref_a > $o,Q2: int > heap_e7401611519738050253t_unit > $o,A: product_prod_int_int,A4: set_Pr958786334691620121nt_int,B: produc7812382424243267045t_unit,B5: set_Pr1133966238863718811t_unit] :
% 3.29/3.50        ( ( bNF_re5404797796594736747unit_o @ R1
% 3.29/3.50          @ ( bNF_re1850668159662942673it_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member5262025264175285858nt_int @ A @ A4 )
% 3.29/3.50         => ( ( member7849944260330398460t_unit @ B @ B5 )
% 3.29/3.50           => ( ( ord_le2843351958646193337nt_int @ A4 @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le5525191956872776187t_unit @ B5 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( product_fst_int_int @ A ) @ ( produc473321116828791851t_unit @ B ) )
% 3.29/3.50                  = ( Q2 @ ( product_snd_int_int @ A ) @ ( produc1126150082675451753t_unit @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1483_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: product_prod_nat_nat > int > $o,R22: product_prod_nat_nat > int > $o,P2: product_prod_nat_nat > product_prod_nat_nat > $o,Q2: int > int > $o,A: produc4196048018000912732at_int,A4: set_Pr49084382684228242at_int,B: produc4196048018000912732at_int,B5: set_Pr49084382684228242at_int] :
% 3.29/3.50        ( ( bNF_re717283939379294677_int_o @ R1
% 3.29/3.50          @ ( bNF_re6644619430987730960nt_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member8394280151737582451at_int @ A @ A4 )
% 3.29/3.50         => ( ( member8394280151737582451at_int @ B @ B5 )
% 3.29/3.50           => ( ( ord_le4604737605482584818at_int @ A4 @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le4604737605482584818at_int @ B5 @ ( collec2851339944984316337at_int @ ( produc6937227050501860053_int_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( produc4619704898428564714at_int @ A ) @ ( produc4619704898428564714at_int @ B ) )
% 3.29/3.50                  = ( Q2 @ ( produc3064508320661873192at_int @ A ) @ ( produc3064508320661873192at_int @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1484_predicate2__transferD,axiom,
% 3.29/3.50      ! [R1: ref_a > heap_e7401611519738050253t_unit > $o,R22: ref_a > heap_e7401611519738050253t_unit > $o,P2: ref_a > ref_a > $o,Q2: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o,A: produc7812382424243267045t_unit,A4: set_Pr1133966238863718811t_unit,B: produc7812382424243267045t_unit,B5: set_Pr1133966238863718811t_unit] :
% 3.29/3.50        ( ( bNF_re1366391616432607057unit_o @ R1
% 3.29/3.50          @ ( bNF_re1850668159662942673it_o_o @ R22
% 3.29/3.50            @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.50          @ P2
% 3.29/3.50          @ Q2 )
% 3.29/3.50       => ( ( member7849944260330398460t_unit @ A @ A4 )
% 3.29/3.50         => ( ( member7849944260330398460t_unit @ B @ B5 )
% 3.29/3.50           => ( ( ord_le5525191956872776187t_unit @ A4 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R1 ) ) )
% 3.29/3.50             => ( ( ord_le5525191956872776187t_unit @ B5 @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R22 ) ) )
% 3.29/3.50               => ( ( P2 @ ( produc473321116828791851t_unit @ A ) @ ( produc473321116828791851t_unit @ B ) )
% 3.29/3.50                  = ( Q2 @ ( produc1126150082675451753t_unit @ A ) @ ( produc1126150082675451753t_unit @ B ) ) ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % predicate2_transferD
% 3.29/3.50  thf(fact_1485_fst__diag__id,axiom,
% 3.29/3.50      ! [Z2: $o] :
% 3.29/3.50        ( ( comp_P2137996956111167876_o_o_o @ product_fst_o_o
% 3.29/3.50          @ ^ [X4: $o] : ( product_Pair_o_o @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_o @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_id
% 3.29/3.50  thf(fact_1486_fst__diag__id,axiom,
% 3.29/3.50      ! [Z2: num] :
% 3.29/3.50        ( ( comp_P864883071962432936um_num @ product_fst_num_num
% 3.29/3.50          @ ^ [X4: num] : ( product_Pair_num_num @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_num @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_id
% 3.29/3.50  thf(fact_1487_fst__diag__id,axiom,
% 3.29/3.50      ! [Z2: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( comp_P8235817900121468292at_nat @ produc4486455499028916547at_nat
% 3.29/3.50          @ ^ [X4: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_set7849613212452405432at_nat @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_id
% 3.29/3.50  thf(fact_1488_fst__diag__id,axiom,
% 3.29/3.50      ! [Z2: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( comp_P4528037747288561284at_nat @ produc6011863565407846595at_nat
% 3.29/3.50          @ ^ [X4: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_set2334057505560298834at_nat @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_id
% 3.29/3.50  thf(fact_1489_fst__diag__id,axiom,
% 3.29/3.50      ! [Z2: nat] :
% 3.29/3.50        ( ( comp_P1955610211387027840at_nat @ product_fst_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : ( product_Pair_nat_nat @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_nat @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_id
% 3.29/3.50  thf(fact_1490_fst__diag__id,axiom,
% 3.29/3.50      ! [Z2: int] :
% 3.29/3.50        ( ( comp_P6651465171681656048nt_int @ product_fst_int_int
% 3.29/3.50          @ ^ [X4: int] : ( product_Pair_int_int @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_int @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_id
% 3.29/3.50  thf(fact_1491_snd__diag__id,axiom,
% 3.29/3.50      ! [Z2: $o] :
% 3.29/3.50        ( ( comp_P2137996956111167876_o_o_o @ product_snd_o_o
% 3.29/3.50          @ ^ [X4: $o] : ( product_Pair_o_o @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_o @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_id
% 3.29/3.50  thf(fact_1492_snd__diag__id,axiom,
% 3.29/3.50      ! [Z2: num] :
% 3.29/3.50        ( ( comp_P864883071962432936um_num @ product_snd_num_num
% 3.29/3.50          @ ^ [X4: num] : ( product_Pair_num_num @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_num @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_id
% 3.29/3.50  thf(fact_1493_snd__diag__id,axiom,
% 3.29/3.50      ! [Z2: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( comp_P8235817900121468292at_nat @ produc826222791318859909at_nat
% 3.29/3.50          @ ^ [X4: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_set7849613212452405432at_nat @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_id
% 3.29/3.50  thf(fact_1494_snd__diag__id,axiom,
% 3.29/3.50      ! [Z2: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( comp_P4528037747288561284at_nat @ produc2937545259423399429at_nat
% 3.29/3.50          @ ^ [X4: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_set2334057505560298834at_nat @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_id
% 3.29/3.50  thf(fact_1495_snd__diag__id,axiom,
% 3.29/3.50      ! [Z2: nat] :
% 3.29/3.50        ( ( comp_P1955610211387027840at_nat @ product_snd_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : ( product_Pair_nat_nat @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_nat @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_id
% 3.29/3.50  thf(fact_1496_snd__diag__id,axiom,
% 3.29/3.50      ! [Z2: int] :
% 3.29/3.50        ( ( comp_P6651465171681656048nt_int @ product_snd_int_int
% 3.29/3.50          @ ^ [X4: int] : ( product_Pair_int_int @ X4 @ X4 )
% 3.29/3.50          @ Z2 )
% 3.29/3.50        = ( id_int @ Z2 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_id
% 3.29/3.50  thf(fact_1497_case__prod__comp,axiom,
% 3.29/3.50      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,X2: produc3346328345660746739nteger] :
% 3.29/3.50        ( ( produc4281629032016041417nteger @ ( comp_C8797469213163452608nteger @ F @ G ) @ X2 )
% 3.29/3.50        = ( F @ ( G @ ( produc1861665112190112313nteger @ X2 ) ) @ ( produc7955729907432593271nteger @ X2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % case_prod_comp
% 3.29/3.50  thf(fact_1498_lookup__def,axiom,
% 3.29/3.50      ( lookup_a
% 3.29/3.50      = ( ^ [R5: ref_a] :
% 3.29/3.50            ( heap_tap_a
% 3.29/3.50            @ ^ [H5: heap_e7401611519738050253t_unit] : ( get_a @ H5 @ R5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % lookup_def
% 3.29/3.50  thf(fact_1499_fst__snd__flip,axiom,
% 3.29/3.50      ( produc4486455499028916547at_nat
% 3.29/3.50      = ( comp_P3728553842126764068at_nat @ produc826222791318859909at_nat
% 3.29/3.50        @ ( produc5456455677105495163at_nat
% 3.29/3.50          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1500_fst__snd__flip,axiom,
% 3.29/3.50      ( produc6011863565407846595at_nat
% 3.29/3.50      = ( comp_P4974406650942564362at_nat @ produc2937545259423399429at_nat
% 3.29/3.50        @ ( produc7548845685434208379at_nat
% 3.29/3.50          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1501_fst__snd__flip,axiom,
% 3.29/3.50      ( product_fst_num_nat
% 3.29/3.50      = ( comp_P5051845089628979463um_nat @ product_snd_nat_num
% 3.29/3.50        @ ( produc5219324331026901427at_num
% 3.29/3.50          @ ^ [X4: num,Y5: nat] : ( product_Pair_nat_num @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1502_fst__snd__flip,axiom,
% 3.29/3.50      ( product_fst_nat_nat
% 3.29/3.50      = ( comp_P1567445206330693457at_nat @ product_snd_nat_nat
% 3.29/3.50        @ ( produc2626176000494625587at_nat
% 3.29/3.50          @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1503_fst__snd__flip,axiom,
% 3.29/3.50      ( produc473321116828791851t_unit
% 3.29/3.50      = ( comp_P1287623958910499840t_unit @ produc6369869760173755749_ref_a
% 3.29/3.50        @ ( produc2058451029528183389_ref_a
% 3.29/3.50          @ ^ [X4: ref_a,Y5: heap_e7401611519738050253t_unit] : ( produc2564672488694626579_ref_a @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1504_fst__snd__flip,axiom,
% 3.29/3.50      ( produc5717040794327095847_ref_a
% 3.29/3.50      = ( comp_P2006160480335490974_ref_a @ produc1126150082675451753t_unit
% 3.29/3.50        @ ( produc4426278547552487717t_unit
% 3.29/3.50          @ ^ [X4: heap_e7401611519738050253t_unit,Y5: ref_a] : ( produc6544324848051098391t_unit @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1505_fst__snd__flip,axiom,
% 3.29/3.50      ( product_fst_int_int
% 3.29/3.50      = ( comp_P5356232565778667509nt_int @ product_snd_int_int
% 3.29/3.50        @ ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( product_Pair_int_int @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_snd_flip
% 3.29/3.50  thf(fact_1506_snd__fst__flip,axiom,
% 3.29/3.50      ( produc826222791318859909at_nat
% 3.29/3.50      = ( comp_P3728553842126764068at_nat @ produc4486455499028916547at_nat
% 3.29/3.50        @ ( produc5456455677105495163at_nat
% 3.29/3.50          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1507_snd__fst__flip,axiom,
% 3.29/3.50      ( produc2937545259423399429at_nat
% 3.29/3.50      = ( comp_P4974406650942564362at_nat @ produc6011863565407846595at_nat
% 3.29/3.50        @ ( produc7548845685434208379at_nat
% 3.29/3.50          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1508_snd__fst__flip,axiom,
% 3.29/3.50      ( product_snd_num_nat
% 3.29/3.50      = ( comp_P8336958949797789649um_nat @ product_fst_nat_num
% 3.29/3.50        @ ( produc5219324331026901427at_num
% 3.29/3.50          @ ^ [X4: num,Y5: nat] : ( product_Pair_nat_num @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1509_snd__fst__flip,axiom,
% 3.29/3.50      ( product_snd_nat_nat
% 3.29/3.50      = ( comp_P1567445206330693457at_nat @ product_fst_nat_nat
% 3.29/3.50        @ ( produc2626176000494625587at_nat
% 3.29/3.50          @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1510_snd__fst__flip,axiom,
% 3.29/3.50      ( produc6369869760173755749_ref_a
% 3.29/3.50      = ( comp_P7254561687666694144_ref_a @ produc473321116828791851t_unit
% 3.29/3.50        @ ( produc4426278547552487717t_unit
% 3.29/3.50          @ ^ [X4: heap_e7401611519738050253t_unit,Y5: ref_a] : ( produc6544324848051098391t_unit @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1511_snd__fst__flip,axiom,
% 3.29/3.50      ( produc1126150082675451753t_unit
% 3.29/3.50      = ( comp_P3239167524078694454t_unit @ produc5717040794327095847_ref_a
% 3.29/3.50        @ ( produc2058451029528183389_ref_a
% 3.29/3.50          @ ^ [X4: ref_a,Y5: heap_e7401611519738050253t_unit] : ( produc2564672488694626579_ref_a @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1512_snd__fst__flip,axiom,
% 3.29/3.50      ( product_snd_int_int
% 3.29/3.50      = ( comp_P5356232565778667509nt_int @ product_fst_int_int
% 3.29/3.50        @ ( produc4245557441103728435nt_int
% 3.29/3.50          @ ^ [X4: int,Y5: int] : ( product_Pair_int_int @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_fst_flip
% 3.29/3.50  thf(fact_1513_comp__fun__idem__on_Ocomp__fun__idem__on,axiom,
% 3.29/3.50      ! [S5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > nat > nat,X2: produc3843707927480180839at_nat] :
% 3.29/3.50        ( ( finite352855791390415404at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member8757157785044589968at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.29/3.50            = ( F @ X2 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_idem_on.comp_fun_idem_on
% 3.29/3.50  thf(fact_1514_comp__fun__idem__on_Ocomp__fun__idem__on,axiom,
% 3.29/3.50      ! [S5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > nat > nat,X2: product_prod_nat_nat] :
% 3.29/3.50        ( ( finite5150387867909132486at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member8440522571783428010at_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.29/3.50            = ( F @ X2 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_idem_on.comp_fun_idem_on
% 3.29/3.50  thf(fact_1515_comp__fun__idem__on_Ocomp__fun__idem__on,axiom,
% 3.29/3.50      ! [S5: set_o,F: $o > nat > nat,X2: $o] :
% 3.29/3.50        ( ( finite2426395113773319005_o_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_o @ X2 @ S5 )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.29/3.50            = ( F @ X2 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_idem_on.comp_fun_idem_on
% 3.29/3.50  thf(fact_1516_comp__fun__idem__on_Ocomp__fun__idem__on,axiom,
% 3.29/3.50      ! [S5: set_nat,F: nat > nat > nat,X2: nat] :
% 3.29/3.50        ( ( finite7982400111564556781at_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_nat @ X2 @ S5 )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.29/3.50            = ( F @ X2 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_idem_on.comp_fun_idem_on
% 3.29/3.50  thf(fact_1517_comp__fun__idem__on_Ocomp__fun__idem__on,axiom,
% 3.29/3.50      ! [S5: set_int,F: int > nat > nat,X2: int] :
% 3.29/3.50        ( ( finite8981753823465611337nt_nat @ S5 @ F )
% 3.29/3.50       => ( ( member_int @ X2 @ S5 )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( F @ X2 ) @ ( F @ X2 ) )
% 3.29/3.50            = ( F @ X2 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % comp_fun_idem_on.comp_fun_idem_on
% 3.29/3.50  thf(fact_1518_OO__Grp__cong,axiom,
% 3.29/3.50      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_prod_nat_nat,G: product_prod_nat_nat > int] :
% 3.29/3.50        ( ( A4 = B5 )
% 3.29/3.50       => ( ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ ( bNF_Gr7275288873855648526at_nat @ A4 @ F ) ) @ ( bNF_Gr190934199572118623at_int @ A4 @ G ) )
% 3.29/3.50          = ( relcom8911704206367525917at_int @ ( conver6965824823119931701at_nat @ ( bNF_Gr7275288873855648526at_nat @ B5 @ F ) ) @ ( bNF_Gr190934199572118623at_int @ B5 @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % OO_Grp_cong
% 3.29/3.50  thf(fact_1519_OO__Grp__cong,axiom,
% 3.29/3.50      ! [A4: set_int,B5: set_int,F: int > int,G: int > code_integer] :
% 3.29/3.50        ( ( A4 = B5 )
% 3.29/3.50       => ( ( relcom967497705283160040nteger @ ( conversep_int_int @ ( bNF_Grp_int_int @ A4 @ F ) ) @ ( bNF_Gr6684649993275963353nteger @ A4 @ G ) )
% 3.29/3.50          = ( relcom967497705283160040nteger @ ( conversep_int_int @ ( bNF_Grp_int_int @ B5 @ F ) ) @ ( bNF_Gr6684649993275963353nteger @ B5 @ G ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % OO_Grp_cong
% 3.29/3.50  thf(fact_1520_fst__diag__fst,axiom,
% 3.29/3.50      ( ( comp_P9134237804721252988t_unit @ produc6942380573175061695_ref_a
% 3.29/3.50        @ ( comp_r6154141770783548544t_unit
% 3.29/3.50          @ ^ [X4: ref_a] : ( produc1340070678782110931_ref_a @ X4 @ X4 )
% 3.29/3.50          @ produc473321116828791851t_unit ) )
% 3.29/3.50      = produc473321116828791851t_unit ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_fst
% 3.29/3.50  thf(fact_1521_snd__diag__snd,axiom,
% 3.29/3.50      ( ( comp_P8237986404257982958t_unit @ produc1692618790031806469t_unit
% 3.29/3.50        @ ( comp_h5940001671827863714t_unit
% 3.29/3.50          @ ^ [X4: heap_e7401611519738050253t_unit] : ( produc8256076736985659095t_unit @ X4 @ X4 )
% 3.29/3.50          @ produc1126150082675451753t_unit ) )
% 3.29/3.50      = produc1126150082675451753t_unit ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_snd
% 3.29/3.50  thf(fact_1522_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,M: nat > nat,M1: $o > nat,M2: nat > $o,F: nat > nat,G: nat > nat] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_nat_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( comp_nat_nat_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_o_nat_nat @ ( comp_o_nat_o @ ( comp_nat_nat_o @ F @ M1 ) @ Rep ) @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1523_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: int > $o,Abs: $o > int,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > nat,G: int > nat] :
% 3.29/3.50        ( ( type_d8403010662121346494_int_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_nat_int @ ( comp_o_nat_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_int_nat_int @ ( comp_o_nat_int @ ( comp_o_nat_o @ F @ M1 ) @ Rep ) @ ( comp_nat_int_int @ ( comp_o_int_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1524_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: num > $o,Abs: $o > num,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > $o,G: int > nat] :
% 3.29/3.50        ( ( type_d9070036042389994064_num_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_o_int @ ( comp_o_o_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_num_o_int @ ( comp_o_o_num @ ( comp_o_o_o @ F @ M1 ) @ Rep ) @ ( comp_nat_num_int @ ( comp_o_num_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1525_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > $o,G: nat > nat] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_nat_o_nat @ ( comp_o_o_nat @ ( comp_o_o_o @ F @ M1 ) @ Rep ) @ ( comp_nat_nat_nat @ ( comp_o_nat_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1526_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > $o,G: nat > nat] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_o_nat @ ( comp_o_o_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_o_o_nat @ ( comp_o_o_o @ ( comp_o_o_o @ F @ M1 ) @ Rep ) @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1527_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > num,G: int > nat] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_num_int @ ( comp_o_num_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_o_num_int @ ( comp_o_num_o @ ( comp_o_num_o @ F @ M1 ) @ Rep ) @ ( comp_nat_o_int @ ( comp_o_o_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1528_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: num > $o,Abs: $o > num,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > num,G: int > nat] :
% 3.29/3.50        ( ( type_d9070036042389994064_num_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_num_int @ ( comp_o_num_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_num_num_int @ ( comp_o_num_num @ ( comp_o_num_o @ F @ M1 ) @ Rep ) @ ( comp_nat_num_int @ ( comp_o_num_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1529_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > num,G: int > nat] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_num_int @ ( comp_o_num_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_nat_num_int @ ( comp_o_num_nat @ ( comp_o_num_o @ F @ M1 ) @ Rep ) @ ( comp_nat_nat_int @ ( comp_o_nat_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1530_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > nat,G: nat > nat] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( comp_o_nat_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_o_nat_nat @ ( comp_o_nat_o @ ( comp_o_nat_o @ F @ M1 ) @ Rep ) @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1531_type__copy__map__comp0,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,M: nat > $o,M1: $o > $o,M2: nat > $o,F: $o > nat,G: nat > nat] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( M
% 3.29/3.50            = ( comp_o_o_nat @ M1 @ M2 ) )
% 3.29/3.50         => ( ( comp_nat_nat_nat @ ( comp_o_nat_nat @ F @ M ) @ G )
% 3.29/3.50            = ( comp_nat_nat_nat @ ( comp_o_nat_nat @ ( comp_o_nat_o @ F @ M1 ) @ Rep ) @ ( comp_nat_nat_nat @ ( comp_o_nat_nat @ Abs @ M2 ) @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0
% 3.29/3.50  thf(fact_1532_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: int > $o,Abs: $o > int,Rep2: nat > $o,Abs2: $o > nat,Rep3: int > nat,Abs3: nat > int,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_d8403010662121346494_int_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d1000680970699258650_nat_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d7249847660678803242nt_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_nat_int @ ( comp_o_nat_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_int_nat_int @ ( comp_o_nat_int @ ( comp_o_nat_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_int_int @ ( comp_o_int_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1533_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: num > $o,Abs: $o > num,Rep2: $o > $o,Abs2: $o > $o,Rep3: int > nat,Abs3: nat > int,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_d9070036042389994064_num_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_definition_o_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d7249847660678803242nt_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_o_int @ ( comp_o_o_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_num_o_int @ ( comp_o_o_num @ ( comp_o_o_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_num_int @ ( comp_o_num_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1534_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,Rep2: $o > $o,Abs2: $o > $o,Rep3: nat > nat,Abs3: nat > nat,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_definition_o_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d6250493948777748686at_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_nat_o_nat @ ( comp_o_o_nat @ ( comp_o_o_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_nat_nat @ ( comp_o_nat_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1535_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,Rep2: $o > $o,Abs2: $o > $o,Rep3: nat > nat,Abs3: nat > nat,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_definition_o_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d6250493948777748686at_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_o_o_nat @ ( comp_o_o_o @ ( comp_o_o_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1536_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,Rep2: num > $o,Abs2: $o > num,Rep3: int > nat,Abs3: nat > int,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d9070036042389994064_num_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d7249847660678803242nt_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_num_int @ ( comp_o_num_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_o_num_int @ ( comp_o_num_o @ ( comp_o_num_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_o_int @ ( comp_o_o_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1537_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: num > $o,Abs: $o > num,Rep2: num > $o,Abs2: $o > num,Rep3: int > nat,Abs3: nat > int,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_d9070036042389994064_num_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d9070036042389994064_num_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d7249847660678803242nt_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_num_int @ ( comp_o_num_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_num_num_int @ ( comp_o_num_num @ ( comp_o_num_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_num_int @ ( comp_o_num_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1538_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,Rep2: num > $o,Abs2: $o > num,Rep3: int > nat,Abs3: nat > int,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d9070036042389994064_num_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d7249847660678803242nt_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_num_int @ ( comp_o_num_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_nat_num_int @ ( comp_o_num_nat @ ( comp_o_num_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_nat_int @ ( comp_o_nat_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1539_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: $o > $o,Abs: $o > $o,Rep2: nat > $o,Abs2: $o > nat,Rep3: nat > nat,Abs3: nat > nat,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_definition_o_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d1000680970699258650_nat_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d6250493948777748686at_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_nat_nat @ ( comp_o_nat_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_o_nat_nat @ ( comp_o_nat_o @ ( comp_o_nat_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_o_nat @ ( comp_o_o_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1540_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,Rep2: nat > $o,Abs2: $o > nat,Rep3: nat > nat,Abs3: nat > nat,M: nat > $o,M1: $o > $o,M2: nat > $o] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d1000680970699258650_nat_o @ Rep2 @ Abs2 @ top_top_set_o )
% 3.29/3.50         => ( ( type_d6250493948777748686at_nat @ Rep3 @ Abs3 @ top_top_set_nat )
% 3.29/3.50           => ( ( ( comp_nat_nat_nat @ ( comp_o_nat_nat @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_nat_nat_nat @ ( comp_o_nat_nat @ ( comp_o_nat_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_nat_nat_nat @ ( comp_o_nat_nat @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_o_nat @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1541_type__copy__map__comp0__undo,axiom,
% 3.29/3.50      ! [Rep: nat > $o,Abs: $o > nat,Rep2: $o > char,Abs2: char > $o,Rep3: nat > $o,Abs3: $o > nat,M: $o > char,M1: $o > char,M2: $o > $o] :
% 3.29/3.50        ( ( type_d1000680970699258650_nat_o @ Rep @ Abs @ top_top_set_o )
% 3.29/3.50       => ( ( type_d9076672964931703357o_char @ Rep2 @ Abs2 @ top_top_set_char )
% 3.29/3.50         => ( ( type_d1000680970699258650_nat_o @ Rep3 @ Abs3 @ top_top_set_o )
% 3.29/3.50           => ( ( ( comp_o_o_nat @ ( comp_char_o_o @ Abs2 @ M ) @ Rep3 )
% 3.29/3.50                = ( comp_nat_o_nat @ ( comp_o_o_nat @ ( comp_char_o_o @ Abs2 @ M1 ) @ Rep ) @ ( comp_o_nat_nat @ ( comp_o_nat_o @ Abs @ M2 ) @ Rep3 ) ) )
% 3.29/3.50             => ( ( comp_o_char_o @ M1 @ M2 )
% 3.29/3.50                = M ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_map_comp0_undo
% 3.29/3.50  thf(fact_1542_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o] :
% 3.29/3.50        ( ( bNF_re3734335887435638179at_nat
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom8141925468094106422ar_nat
% 3.29/3.50          @ ( conver5210974729819302706ar_nat
% 3.29/3.50            @ ( bNF_Gr1779741795384719769ar_nat
% 3.29/3.50              @ ( collec1683818095804863890at_nat
% 3.29/3.50                @ ^ [X4: char > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_8382823969816519465at_nat @ X4 @ top_top_set_char ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P1491501995297412481t_char @ product_fst_nat_nat ) ) )
% 3.29/3.50          @ ( bNF_Gr1779741795384719769ar_nat
% 3.29/3.50            @ ( collec1683818095804863890at_nat
% 3.29/3.50              @ ^ [X4: char > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_8382823969816519465at_nat @ X4 @ top_top_set_char ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P1491501995297412481t_char @ product_snd_nat_nat ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1543_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o] :
% 3.29/3.50        ( ( bNF_re6557955094579809201at_nat
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom7707146719550107439at_nat
% 3.29/3.50          @ ( conver7478146827351332082at_nat
% 3.29/3.50            @ ( bNF_Gr7368557922277781849at_nat
% 3.29/3.50              @ ( collec2824469931397938891at_nat
% 3.29/3.50                @ ^ [X4: rat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_9175953278516507234at_nat @ X4 @ top_top_set_rat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P1320480151300532104at_rat @ product_fst_nat_nat ) ) )
% 3.29/3.50          @ ( bNF_Gr7368557922277781849at_nat
% 3.29/3.50            @ ( collec2824469931397938891at_nat
% 3.29/3.50              @ ^ [X4: rat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_9175953278516507234at_nat @ X4 @ top_top_set_rat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P1320480151300532104at_rat @ product_snd_nat_nat ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1544_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o] :
% 3.29/3.50        ( ( bNF_re5653821019739307937at_nat
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom8186637903969514807at_nat
% 3.29/3.50          @ ( conver3498139987538047730at_nat
% 3.29/3.50            @ ( bNF_Gr3388551082464497497at_nat
% 3.29/3.50              @ ( collec8718012497556192979at_nat
% 3.29/3.50                @ ^ [X4: nat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ X4 @ top_top_set_nat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P1955610211387027840at_nat @ product_fst_nat_nat ) ) )
% 3.29/3.50          @ ( bNF_Gr3388551082464497497at_nat
% 3.29/3.50            @ ( collec8718012497556192979at_nat
% 3.29/3.50              @ ^ [X4: nat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ X4 @ top_top_set_nat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P1955610211387027840at_nat @ product_snd_nat_nat ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1545_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o] :
% 3.29/3.50        ( ( bNF_re3715656647883201625at_nat
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom2406850561174050523nt_nat
% 3.29/3.50          @ ( conver1572571282669976050nt_nat
% 3.29/3.50            @ ( bNF_Gr1462982377596425817nt_nat
% 3.29/3.50              @ ( collec2532482545165550967at_nat
% 3.29/3.50                @ ^ [X4: int > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_8883965892284119310at_nat @ X4 @ top_top_set_int ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P1953119740877977564at_int @ product_fst_nat_nat ) ) )
% 3.29/3.50          @ ( bNF_Gr1462982377596425817nt_nat
% 3.29/3.50            @ ( collec2532482545165550967at_nat
% 3.29/3.50              @ ^ [X4: int > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_8883965892284119310at_nat @ X4 @ top_top_set_int ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P1953119740877977564at_int @ product_snd_nat_nat ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1546_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: num > num > $o] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom1697847500783689711nt_num
% 3.29/3.50          @ ( conver5699786650113435344nt_num
% 3.29/3.50            @ ( bNF_Gr5590197745039885111nt_num
% 3.29/3.50              @ ( collec266097228571071243um_num
% 3.29/3.50                @ ^ [X4: int > product_prod_num_num] : ( ord_le880128212290418581um_num @ ( image_7722540232540426402um_num @ X4 @ top_top_set_int ) @ ( collec2230928802738392704um_num @ ( produc5703948589228662326_num_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P4305060815297604026um_int @ product_fst_num_num ) ) )
% 3.29/3.50          @ ( bNF_Gr5590197745039885111nt_num
% 3.29/3.50            @ ( collec266097228571071243um_num
% 3.29/3.50              @ ^ [X4: int > product_prod_num_num] : ( ord_le880128212290418581um_num @ ( image_7722540232540426402um_num @ X4 @ top_top_set_int ) @ ( collec2230928802738392704um_num @ ( produc5703948589228662326_num_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P4305060815297604026um_int @ product_snd_num_num ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1547_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: int > int > $o] :
% 3.29/3.50        ( ( bNF_re4731199128827642459nt_int
% 3.29/3.50          @ ^ [Y2: char,Z: char] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom4417706183330134766ar_int
% 3.29/3.50          @ ( conver1155128050257070662ar_int
% 3.29/3.50            @ ( bNF_Gr6947267152677263533ar_int
% 3.29/3.50              @ ( collec1380656525566158922nt_int
% 3.29/3.50                @ ^ [X4: char > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5204326662208377313nt_int @ X4 @ top_top_set_char ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P4161745170962941589t_char @ product_fst_int_int ) ) )
% 3.29/3.50          @ ( bNF_Gr6947267152677263533ar_int
% 3.29/3.50            @ ( collec1380656525566158922nt_int
% 3.29/3.50              @ ^ [X4: char > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5204326662208377313nt_int @ X4 @ top_top_set_char ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P4161745170962941589t_char @ product_snd_int_int ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1548_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: int > int > $o] :
% 3.29/3.50        ( ( bNF_re7554818335971813481nt_int
% 3.29/3.50          @ ^ [Y2: rat,Z: rat] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom2810802720173317863at_int
% 3.29/3.50          @ ( conver6967689361887734790at_int
% 3.29/3.50            @ ( bNF_Gr6858100456814184557at_int
% 3.29/3.50              @ ( collec2521308361159233923nt_int
% 3.29/3.50                @ ^ [X4: rat > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5997455970908365082nt_int @ X4 @ top_top_set_rat ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P6018825582104210588nt_rat @ product_fst_int_int ) ) )
% 3.29/3.50          @ ( bNF_Gr6858100456814184557at_int
% 3.29/3.50            @ ( collec2521308361159233923nt_int
% 3.29/3.50              @ ^ [X4: rat > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5997455970908365082nt_int @ X4 @ top_top_set_rat ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P6018825582104210588nt_rat @ product_snd_int_int ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1549_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: int > int > $o] :
% 3.29/3.50        ( ( bNF_re6650684261131312217nt_int
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom3290293904592725231at_int
% 3.29/3.50          @ ( conver2987682522074450438at_int
% 3.29/3.50            @ ( bNF_Gr2878093617000900205at_int
% 3.29/3.50              @ ( collec8414850927317488011nt_int
% 3.29/3.50                @ ^ [X4: nat > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_2667626500211843362nt_int @ X4 @ top_top_set_nat ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P6653955642190706324nt_nat @ product_fst_int_int ) ) )
% 3.29/3.50          @ ( bNF_Gr2878093617000900205at_int
% 3.29/3.50            @ ( collec8414850927317488011nt_int
% 3.29/3.50              @ ^ [X4: nat > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_2667626500211843362nt_int @ X4 @ top_top_set_nat ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P6653955642190706324nt_nat @ product_snd_int_int ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1550_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: int > int > $o] :
% 3.29/3.50        ( ( bNF_re4712519889275205905nt_int
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom6733878598652036755nt_int
% 3.29/3.50          @ ( conver1062113817206378758nt_int
% 3.29/3.50            @ ( bNF_Gr952524912132828525nt_int
% 3.29/3.50              @ ( collec2229320974926845999nt_int
% 3.29/3.50                @ ^ [X4: int > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5705468584675977158nt_int @ X4 @ top_top_set_int ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P6651465171681656048nt_int @ product_fst_int_int ) ) )
% 3.29/3.50          @ ( bNF_Gr952524912132828525nt_int
% 3.29/3.50            @ ( collec2229320974926845999nt_int
% 3.29/3.50              @ ^ [X4: int > product_prod_int_int] : ( ord_le2843351958646193337nt_int @ ( image_5705468584675977158nt_int @ X4 @ top_top_set_int ) @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P6651465171681656048nt_int @ product_snd_int_int ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1551_fun_Orel__compp__Grp,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o] :
% 3.29/3.50        ( ( bNF_re4629543205785817921at_nat
% 3.29/3.50          @ ^ [Y2: list_nat,Z: list_nat] : ( Y2 = Z )
% 3.29/3.50          @ R3 )
% 3.29/3.50        = ( relcom5920149085449455271at_nat
% 3.29/3.50          @ ( conver6066198818478722162at_nat
% 3.29/3.50            @ ( bNF_Gr1532745923208276441at_nat
% 3.29/3.50              @ ( collec3092956710985254339at_nat
% 3.29/3.50                @ ^ [X4: list_nat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_2795870212791037530at_nat @ X4 @ top_top_set_list_nat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50              @ ( comp_P5292260908303971472st_nat @ product_fst_nat_nat ) ) )
% 3.29/3.50          @ ( bNF_Gr1532745923208276441at_nat
% 3.29/3.50            @ ( collec3092956710985254339at_nat
% 3.29/3.50              @ ^ [X4: list_nat > product_prod_nat_nat] : ( ord_le3146513528884898305at_nat @ ( image_2795870212791037530at_nat @ X4 @ top_top_set_list_nat ) @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) ) )
% 3.29/3.50            @ ( comp_P5292260908303971472st_nat @ product_snd_nat_nat ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_compp_Grp
% 3.29/3.50  thf(fact_1552_image__Pow__surj,axiom,
% 3.29/3.50      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.50        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.50          = B5 )
% 3.29/3.50       => ( ( image_4408659257933336347et_rat @ ( image_nat_rat @ F ) @ ( pow_nat @ A4 ) )
% 3.29/3.50          = ( pow_rat @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_surj
% 3.29/3.50  thf(fact_1553_image__Pow__surj,axiom,
% 3.29/3.50      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.50          = B5 )
% 3.29/3.50       => ( ( image_7916887816326733075et_nat @ ( image_nat_nat @ F ) @ ( pow_nat @ A4 ) )
% 3.29/3.50          = ( pow_nat @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_surj
% 3.29/3.50  thf(fact_1554_image__Pow__surj,axiom,
% 3.29/3.50      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.50          = B5 )
% 3.29/3.50       => ( ( image_3739036796817536367et_int @ ( image_nat_int @ F ) @ ( pow_nat @ A4 ) )
% 3.29/3.50          = ( pow_int @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_surj
% 3.29/3.50  thf(fact_1555_image__Pow__surj,axiom,
% 3.29/3.50      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.50          = B5 )
% 3.29/3.50       => ( ( image_4702325430467532143et_nat @ ( image_int_nat @ F ) @ ( pow_int @ A4 ) )
% 3.29/3.50          = ( pow_nat @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_surj
% 3.29/3.50  thf(fact_1556_image__Pow__surj,axiom,
% 3.29/3.50      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.50        ( ( ( image_int_int @ F @ A4 )
% 3.29/3.50          = B5 )
% 3.29/3.50       => ( ( image_524474410958335435et_int @ ( image_int_int @ F ) @ ( pow_int @ A4 ) )
% 3.29/3.50          = ( pow_int @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_Pow_surj
% 3.29/3.50  thf(fact_1557_fst__diag__snd,axiom,
% 3.29/3.50      ( ( comp_P8237986404257982958t_unit @ produc2762368996035445955t_unit
% 3.29/3.50        @ ( comp_h5940001671827863714t_unit
% 3.29/3.50          @ ^ [X4: heap_e7401611519738050253t_unit] : ( produc8256076736985659095t_unit @ X4 @ X4 )
% 3.29/3.50          @ produc1126150082675451753t_unit ) )
% 3.29/3.50      = produc1126150082675451753t_unit ) ).
% 3.29/3.50  
% 3.29/3.50  % fst_diag_snd
% 3.29/3.50  thf(fact_1558_snd__diag__fst,axiom,
% 3.29/3.50      ( ( comp_P9134237804721252988t_unit @ produc8185483580310833921_ref_a
% 3.29/3.50        @ ( comp_r6154141770783548544t_unit
% 3.29/3.50          @ ^ [X4: ref_a] : ( produc1340070678782110931_ref_a @ X4 @ X4 )
% 3.29/3.50          @ produc473321116828791851t_unit ) )
% 3.29/3.50      = produc473321116828791851t_unit ) ).
% 3.29/3.50  
% 3.29/3.50  % snd_diag_fst
% 3.29/3.50  thf(fact_1559_fun_Orel__Grp,axiom,
% 3.29/3.50      ! [A4: set_Co726186806682698383nteger,F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.50        ( ( bNF_re1181178334029315097nteger
% 3.29/3.50          @ ^ [Y2: code_integer,Z: code_integer] : ( Y2 = Z )
% 3.29/3.50          @ ( bNF_Gr4092539093814444494nteger @ A4 @ F ) )
% 3.29/3.50        = ( bNF_Gr1453458339979195462nteger
% 3.29/3.50          @ ( collec5651646645946169514nteger
% 3.29/3.50            @ ^ [X4: code_integer > code_integer > code_integer] : ( ord_le348599935723844335nteger @ ( image_2177946750938214461nteger @ X4 @ top_to4645266643341252675nteger ) @ A4 ) )
% 3.29/3.50          @ ( comp_C8797469213163452608nteger @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_Grp
% 3.29/3.50  thf(fact_1560_fun_Orel__Grp,axiom,
% 3.29/3.50      ! [A4: set_o,F: $o > $o] :
% 3.29/3.50        ( ( bNF_re4705727531993890431at_o_o
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ ( bNF_Grp_o_o @ A4 @ F ) )
% 3.29/3.50        = ( bNF_Grp_nat_o_nat_o
% 3.29/3.50          @ ( collect_nat_o
% 3.29/3.50            @ ^ [X4: nat > $o] : ( ord_less_eq_set_o @ ( image_nat_o @ X4 @ top_top_set_nat ) @ A4 ) )
% 3.29/3.50          @ ( comp_o_o_nat @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_Grp
% 3.29/3.50  thf(fact_1561_fun_Orel__Grp,axiom,
% 3.29/3.50      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.50        ( ( bNF_re5653821019739307937at_nat
% 3.29/3.50          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.50          @ ( bNF_Grp_nat_nat @ A4 @ F ) )
% 3.29/3.50        = ( bNF_Gr3847987472475283150at_nat
% 3.29/3.50          @ ( collect_nat_nat
% 3.29/3.50            @ ^ [X4: nat > nat] : ( ord_less_eq_set_nat @ ( image_nat_nat @ X4 @ top_top_set_nat ) @ A4 ) )
% 3.29/3.50          @ ( comp_nat_nat_nat @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_Grp
% 3.29/3.50  thf(fact_1562_fun_Orel__Grp,axiom,
% 3.29/3.50      ! [A4: set_nat,F: nat > num] :
% 3.29/3.50        ( ( bNF_re272988434038980259at_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ( bNF_Grp_nat_num @ A4 @ F ) )
% 3.29/3.50        = ( bNF_Gr6763702254253555408nt_num
% 3.29/3.50          @ ( collect_int_nat
% 3.29/3.50            @ ^ [X4: int > nat] : ( ord_less_eq_set_nat @ ( image_int_nat @ X4 @ top_top_set_int ) @ A4 ) )
% 3.29/3.50          @ ( comp_nat_num_int @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_Grp
% 3.29/3.50  thf(fact_1563_fun_Orel__Grp,axiom,
% 3.29/3.50      ! [A4: set_int,F: int > nat] :
% 3.29/3.50        ( ( bNF_re4715010359784256181nt_nat
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ( bNF_Grp_int_nat @ A4 @ F ) )
% 3.29/3.50        = ( bNF_Gr2243168462153404386nt_nat
% 3.29/3.50          @ ( collect_int_int
% 3.29/3.50            @ ^ [X4: int > int] : ( ord_less_eq_set_int @ ( image_int_int @ X4 @ top_top_set_int ) @ A4 ) )
% 3.29/3.50          @ ( comp_int_nat_int @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_Grp
% 3.29/3.50  thf(fact_1564_fun_Orel__Grp,axiom,
% 3.29/3.50      ! [A4: set_num,F: num > num] :
% 3.29/3.50        ( ( bNF_re7626690874201225453um_num
% 3.29/3.50          @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50          @ ( bNF_Grp_num_num @ A4 @ F ) )
% 3.29/3.50        = ( bNF_Gr318824752125099290nt_num
% 3.29/3.50          @ ( collect_int_num
% 3.29/3.50            @ ^ [X4: int > num] : ( ord_less_eq_set_num @ ( image_int_num @ X4 @ top_top_set_int ) @ A4 ) )
% 3.29/3.50          @ ( comp_num_num_int @ F ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % fun.rel_Grp
% 3.29/3.50  thf(fact_1565_Grp__fst__snd,axiom,
% 3.29/3.50      ! [R3: nat > nat > $o] :
% 3.29/3.50        ( ( relcom8572034174491624592at_nat @ ( conver4691796276509297820at_nat @ ( bNF_Gr193424670081168899at_nat @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) @ product_fst_nat_nat ) ) @ ( bNF_Gr193424670081168899at_nat @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ R3 ) ) @ product_snd_nat_nat ) )
% 3.29/3.50        = R3 ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_fst_snd
% 3.29/3.50  thf(fact_1566_Grp__fst__snd,axiom,
% 3.29/3.50      ! [R3: ref_a > heap_e7401611519738050253t_unit > $o] :
% 3.29/3.50        ( ( relcom3136146828236442456t_unit @ ( conver4368408235330554745_ref_a @ ( bNF_Gr5964920315653434322_ref_a @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R3 ) ) @ produc473321116828791851t_unit ) ) @ ( bNF_Gr5237703264515865432t_unit @ ( collec3252306575900995386t_unit @ ( produc4924168586796184916unit_o @ R3 ) ) @ produc1126150082675451753t_unit ) )
% 3.29/3.50        = R3 ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_fst_snd
% 3.29/3.50  thf(fact_1567_Grp__fst__snd,axiom,
% 3.29/3.50      ! [R3: int > int > $o] :
% 3.29/3.50        ( ( relcom3664783465810776136nt_int @ ( conver7247880940930113968nt_int @ ( bNF_Gr2749509334501985047nt_int @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) @ product_fst_int_int ) ) @ ( bNF_Gr2749509334501985047nt_int @ ( collec213857154873943460nt_int @ ( produc4947309494688390418_int_o @ R3 ) ) @ product_snd_int_int ) )
% 3.29/3.50        = R3 ) ).
% 3.29/3.50  
% 3.29/3.50  % Grp_fst_snd
% 3.29/3.50  thf(fact_1568_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: $o > char,Abs: char > $o,S5: char > set_rat,M: $o > char,F: nat > rat,S6: $o > set_nat,G: nat > $o] :
% 3.29/3.50        ( ( type_d9076672964931703357o_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_char_set_rat_o @ S5 @ M )
% 3.29/3.50            = ( comp_s8507027185284273247_rat_o @ ( image_nat_rat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_o_set_rat_nat @ ( comp_char_set_rat_o @ S5 @ Rep ) @ ( comp_o_o_nat @ ( comp_char_o_o @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s8255929034757298889at_nat @ ( image_nat_rat @ F ) @ ( comp_o_set_nat_nat @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1569_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: num > char,Abs: char > num,S5: char > set_rat,M: nat > char,F: nat > rat,S6: nat > set_nat,G: int > nat] :
% 3.29/3.50        ( ( type_d4396077731765706521m_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c5738158305436223508at_nat @ S5 @ M )
% 3.29/3.50            = ( comp_s8255929034757298889at_nat @ ( image_nat_rat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_num_set_rat_int @ ( comp_c2295490091592002142at_num @ S5 @ Rep ) @ ( comp_nat_num_int @ ( comp_char_num_nat @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s8253438564248248613at_int @ ( image_nat_rat @ F ) @ ( comp_nat_set_nat_int @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1570_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,S5: char > set_rat,M: nat > char,F: nat > rat,S6: nat > set_nat,G: nat > nat] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c5738158305436223508at_nat @ S5 @ M )
% 3.29/3.50            = ( comp_s8255929034757298889at_nat @ ( image_nat_rat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_nat_set_rat_nat @ ( comp_c5738158305436223508at_nat @ S5 @ Rep ) @ ( comp_nat_nat_nat @ ( comp_char_nat_nat @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s8255929034757298889at_nat @ ( image_nat_rat @ F ) @ ( comp_nat_set_nat_nat @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1571_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,S5: char > set_rat,M: int > char,F: nat > rat,S6: int > set_nat,G: int > int] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c5735667834927173232at_int @ S5 @ M )
% 3.29/3.50            = ( comp_s8253438564248248613at_int @ ( image_nat_rat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_nat_set_rat_int @ ( comp_c5738158305436223508at_nat @ S5 @ Rep ) @ ( comp_int_nat_int @ ( comp_char_nat_int @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s8253438564248248613at_int @ ( image_nat_rat @ F ) @ ( comp_int_set_nat_int @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1572_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: $o > char,Abs: char > $o,S5: char > set_nat,M: $o > char,F: nat > nat,S6: $o > set_nat,G: nat > $o] :
% 3.29/3.50        ( ( type_d9076672964931703357o_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_char_set_nat_o @ S5 @ M )
% 3.29/3.50            = ( comp_s33089643564333159_nat_o @ ( image_nat_nat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_o_set_nat_nat @ ( comp_char_set_nat_o @ S5 @ Rep ) @ ( comp_o_o_nat @ ( comp_char_o_o @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s3433241188411525313at_nat @ ( image_nat_nat @ F ) @ ( comp_o_set_nat_nat @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1573_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: num > char,Abs: char > num,S5: char > set_nat,M: nat > char,F: nat > nat,S6: nat > set_nat,G: int > nat] :
% 3.29/3.50        ( ( type_d4396077731765706521m_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c915470459090449932at_nat @ S5 @ M )
% 3.29/3.50            = ( comp_s3433241188411525313at_nat @ ( image_nat_nat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_num_set_nat_int @ ( comp_c6696174282101004374at_num @ S5 @ Rep ) @ ( comp_nat_num_int @ ( comp_char_num_nat @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s3430750717902475037at_int @ ( image_nat_nat @ F ) @ ( comp_nat_set_nat_int @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1574_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,S5: char > set_nat,M: nat > char,F: nat > nat,S6: nat > set_nat,G: nat > nat] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c915470459090449932at_nat @ S5 @ M )
% 3.29/3.50            = ( comp_s3433241188411525313at_nat @ ( image_nat_nat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_nat_set_nat_nat @ ( comp_c915470459090449932at_nat @ S5 @ Rep ) @ ( comp_nat_nat_nat @ ( comp_char_nat_nat @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s3433241188411525313at_nat @ ( image_nat_nat @ F ) @ ( comp_nat_set_nat_nat @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1575_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: nat > char,Abs: char > nat,S5: char > set_nat,M: int > char,F: nat > nat,S6: int > set_nat,G: int > int] :
% 3.29/3.50        ( ( type_d5945782884131516111t_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c912979988581399656at_int @ S5 @ M )
% 3.29/3.50            = ( comp_s3430750717902475037at_int @ ( image_nat_nat @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_nat_set_nat_int @ ( comp_c915470459090449932at_nat @ S5 @ Rep ) @ ( comp_int_nat_int @ ( comp_char_nat_int @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s3430750717902475037at_int @ ( image_nat_nat @ F ) @ ( comp_int_set_nat_int @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1576_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: $o > char,Abs: char > $o,S5: char > set_int,M: $o > char,F: nat > int,S6: $o > set_nat,G: nat > $o] :
% 3.29/3.50        ( ( type_d9076672964931703357o_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_char_set_int_o @ S5 @ M )
% 3.29/3.50            = ( comp_s7011316712748663051_int_o @ ( image_nat_int @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_o_set_int_nat @ ( comp_char_set_int_o @ S5 @ Rep ) @ ( comp_o_o_nat @ ( comp_char_o_o @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s5620162763104547101nt_nat @ ( image_nat_int @ F ) @ ( comp_o_set_nat_nat @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1577_type__copy__set__map0,axiom,
% 3.29/3.50      ! [Rep: num > char,Abs: char > num,S5: char > set_int,M: nat > char,F: nat > int,S6: nat > set_nat,G: int > nat] :
% 3.29/3.50        ( ( type_d4396077731765706521m_char @ Rep @ Abs @ top_top_set_char )
% 3.29/3.50       => ( ( ( comp_c3102392033783471720nt_nat @ S5 @ M )
% 3.29/3.50            = ( comp_s5620162763104547101nt_nat @ ( image_nat_int @ F ) @ S6 ) )
% 3.29/3.50         => ( ( comp_num_set_int_int @ ( comp_c8883095856794026162nt_num @ S5 @ Rep ) @ ( comp_nat_num_int @ ( comp_char_num_nat @ Abs @ M ) @ G ) )
% 3.29/3.50            = ( comp_s5617672292595496825nt_int @ ( image_nat_int @ F ) @ ( comp_nat_set_nat_int @ S6 @ G ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_copy_set_map0
% 3.29/3.50  thf(fact_1578_type__definition_ORep__range,axiom,
% 3.29/3.50      ! [Rep: nat > rat,Abs: rat > nat,A4: set_rat] :
% 3.29/3.50        ( ( type_d5615363888691252950at_rat @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_nat_rat @ Rep @ top_top_set_nat )
% 3.29/3.50          = A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Rep_range
% 3.29/3.50  thf(fact_1579_type__definition_ORep__range,axiom,
% 3.29/3.50      ! [Rep: nat > nat,Abs: nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( type_d6250493948777748686at_nat @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_nat_nat @ Rep @ top_top_set_nat )
% 3.29/3.50          = A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Rep_range
% 3.29/3.50  thf(fact_1580_type__definition_ORep__range,axiom,
% 3.29/3.50      ! [Rep: nat > int,Abs: int > nat,A4: set_int] :
% 3.29/3.50        ( ( type_d6248003478268698410at_int @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_nat_int @ Rep @ top_top_set_nat )
% 3.29/3.50          = A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Rep_range
% 3.29/3.50  thf(fact_1581_type__definition_ORep__range,axiom,
% 3.29/3.50      ! [Rep: int > nat,Abs: nat > int,A4: set_nat] :
% 3.29/3.50        ( ( type_d7249847660678803242nt_nat @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_int_nat @ Rep @ top_top_set_int )
% 3.29/3.50          = A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Rep_range
% 3.29/3.50  thf(fact_1582_type__definition_ORep__range,axiom,
% 3.29/3.50      ! [Rep: int > int,Abs: int > int,A4: set_int] :
% 3.29/3.50        ( ( type_d7247357190169752966nt_int @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_int_int @ Rep @ top_top_set_int )
% 3.29/3.50          = A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Rep_range
% 3.29/3.50  thf(fact_1583_type__definition_ORep__range,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,A4: set_o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_Product_unit_o @ Rep @ top_to1996260823553986621t_unit )
% 3.29/3.50          = A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Rep_range
% 3.29/3.50  thf(fact_1584_type__definition_OAbs__image,axiom,
% 3.29/3.50      ! [Rep: rat > nat,Abs: nat > rat,A4: set_nat] :
% 3.29/3.50        ( ( type_d5933939304842882774at_nat @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_nat_rat @ Abs @ A4 )
% 3.29/3.50          = top_top_set_rat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Abs_image
% 3.29/3.50  thf(fact_1585_type__definition_OAbs__image,axiom,
% 3.29/3.50      ! [Rep: nat > nat,Abs: nat > nat,A4: set_nat] :
% 3.29/3.50        ( ( type_d6250493948777748686at_nat @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_nat_nat @ Abs @ A4 )
% 3.29/3.50          = top_top_set_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Abs_image
% 3.29/3.50  thf(fact_1586_type__definition_OAbs__image,axiom,
% 3.29/3.50      ! [Rep: nat > int,Abs: int > nat,A4: set_int] :
% 3.29/3.50        ( ( type_d6248003478268698410at_int @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_int_nat @ Abs @ A4 )
% 3.29/3.50          = top_top_set_nat ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Abs_image
% 3.29/3.50  thf(fact_1587_type__definition_OAbs__image,axiom,
% 3.29/3.50      ! [Rep: int > nat,Abs: nat > int,A4: set_nat] :
% 3.29/3.50        ( ( type_d7249847660678803242nt_nat @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_nat_int @ Abs @ A4 )
% 3.29/3.50          = top_top_set_int ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Abs_image
% 3.29/3.50  thf(fact_1588_type__definition_OAbs__image,axiom,
% 3.29/3.50      ! [Rep: int > int,Abs: int > int,A4: set_int] :
% 3.29/3.50        ( ( type_d7247357190169752966nt_int @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_int_int @ Abs @ A4 )
% 3.29/3.50          = top_top_set_int ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Abs_image
% 3.29/3.50  thf(fact_1589_type__definition_OAbs__image,axiom,
% 3.29/3.50      ! [Rep: product_unit > $o,Abs: $o > product_unit,A4: set_o] :
% 3.29/3.50        ( ( type_d6188575255521822967unit_o @ Rep @ Abs @ A4 )
% 3.29/3.50       => ( ( image_o_Product_unit @ Abs @ A4 )
% 3.29/3.50          = top_to1996260823553986621t_unit ) ) ).
% 3.29/3.50  
% 3.29/3.50  % type_definition.Abs_image
% 3.29/3.50  thf(fact_1590_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_char_char
% 3.29/3.50      = ( ^ [R6: char > char > $o,Abs4: char > char,Rep4: char > char,T4: char > char > $o] :
% 3.29/3.50            ( ( ord_le2540245887939449860char_o @ T4 @ ( bNF_Grp_char_char @ top_top_set_char @ Abs4 ) )
% 3.29/3.50            & ( ord_le2540245887939449860char_o @ ( bNF_Grp_char_char @ top_top_set_char @ Rep4 ) @ ( conversep_char_char @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcom5872928454965100966r_char @ T4 @ ( conversep_char_char @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1591_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_char_rat
% 3.29/3.50      = ( ^ [R6: char > char > $o,Abs4: char > rat,Rep4: rat > char,T4: char > rat > $o] :
% 3.29/3.50            ( ( ord_le4891902658761385405_rat_o @ T4 @ ( bNF_Grp_char_rat @ top_top_set_char @ Abs4 ) )
% 3.29/3.50            & ( ord_le6546876390139131069char_o @ ( bNF_Grp_rat_char @ top_top_set_rat @ Rep4 ) @ ( conversep_char_rat @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcom3428143170894750637t_char @ T4 @ ( conversep_char_rat @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1592_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_char_nat
% 3.29/3.50      = ( ^ [R6: char > char > $o,Abs4: char > nat,Rep4: nat > char,T4: char > nat > $o] :
% 3.29/3.50            ( ( ord_le5641337153896221125_nat_o @ T4 @ ( bNF_Grp_char_nat @ top_top_set_char @ Abs4 ) )
% 3.29/3.50            & ( ord_le4878496333587278021char_o @ ( bNF_Grp_nat_char @ top_top_set_nat @ Rep4 ) @ ( conversep_char_nat @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcom6755291642603558309t_char @ T4 @ ( conversep_char_nat @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1593_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_char_int
% 3.29/3.50      = ( ^ [R6: char > char > $o,Abs4: char > int,Rep4: int > char,T4: char > int > $o] :
% 3.29/3.50            ( ( ord_le3396192186225775209_int_o @ T4 @ ( bNF_Grp_char_int @ top_top_set_char @ Abs4 ) )
% 3.29/3.50            & ( ord_le7608100903186094441char_o @ ( bNF_Grp_int_char @ top_top_set_int @ Rep4 ) @ ( conversep_char_int @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcom750623199913152513t_char @ T4 @ ( conversep_char_int @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1594_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_rat_char
% 3.29/3.50      = ( ^ [R6: rat > rat > $o,Abs4: rat > char,Rep4: char > rat,T4: rat > char > $o] :
% 3.29/3.50            ( ( ord_le6546876390139131069char_o @ T4 @ ( bNF_Grp_rat_char @ top_top_set_rat @ Abs4 ) )
% 3.29/3.50            & ( ord_le4891902658761385405_rat_o @ ( bNF_Grp_char_rat @ top_top_set_char @ Rep4 ) @ ( conversep_rat_char @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcom1505247221262953652ar_rat @ T4 @ ( conversep_rat_char @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1595_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_rat_rat
% 3.29/3.50      = ( ^ [R6: rat > rat > $o,Abs4: rat > rat,Rep4: rat > rat,T4: rat > rat > $o] :
% 3.29/3.50            ( ( ord_le4717968354871517046_rat_o @ T4 @ ( bNF_Grp_rat_rat @ top_top_set_rat @ Abs4 ) )
% 3.29/3.50            & ( ord_le4717968354871517046_rat_o @ ( bNF_Grp_rat_rat @ top_top_set_rat @ Rep4 ) @ ( conversep_rat_rat @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcompp_rat_rat_rat @ T4 @ ( conversep_rat_rat @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1596_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_rat_nat
% 3.29/3.50      = ( ^ [R6: rat > rat > $o,Abs4: rat > nat,Rep4: nat > rat,T4: rat > nat > $o] :
% 3.29/3.50            ( ( ord_le5467402850006352766_nat_o @ T4 @ ( bNF_Grp_rat_nat @ top_top_set_rat @ Abs4 ) )
% 3.29/3.50            & ( ord_le1897120724991155070_rat_o @ ( bNF_Grp_nat_rat @ top_top_set_nat @ Rep4 ) @ ( conversep_rat_nat @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcompp_rat_nat_rat @ T4 @ ( conversep_rat_nat @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1597_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_rat_int
% 3.29/3.50      = ( ^ [R6: rat > rat > $o,Abs4: rat > int,Rep4: int > rat,T4: rat > int > $o] :
% 3.29/3.50            ( ( ord_le3222257882335906850_int_o @ T4 @ ( bNF_Grp_rat_int @ top_top_set_rat @ Abs4 ) )
% 3.29/3.50            & ( ord_le8236914709048111138_rat_o @ ( bNF_Grp_int_rat @ top_top_set_int @ Rep4 ) @ ( conversep_rat_int @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcompp_rat_int_rat @ T4 @ ( conversep_rat_int @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1598_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_nat_char
% 3.29/3.50      = ( ^ [R6: nat > nat > $o,Abs4: nat > char,Rep4: char > nat,T4: nat > char > $o] :
% 3.29/3.50            ( ( ord_le4878496333587278021char_o @ T4 @ ( bNF_Grp_nat_char @ top_top_set_nat @ Abs4 ) )
% 3.29/3.50            & ( ord_le5641337153896221125_nat_o @ ( bNF_Grp_char_nat @ top_top_set_char @ Rep4 ) @ ( conversep_nat_char @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcom8112501251453913252ar_nat @ T4 @ ( conversep_nat_char @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1599_Quotient__alt__def5,axiom,
% 3.29/3.50      ( quotient_nat_rat
% 3.29/3.50      = ( ^ [R6: nat > nat > $o,Abs4: nat > rat,Rep4: rat > nat,T4: nat > rat > $o] :
% 3.29/3.50            ( ( ord_le1897120724991155070_rat_o @ T4 @ ( bNF_Grp_nat_rat @ top_top_set_nat @ Abs4 ) )
% 3.29/3.50            & ( ord_le5467402850006352766_nat_o @ ( bNF_Grp_rat_nat @ top_top_set_rat @ Rep4 ) @ ( conversep_nat_rat @ T4 ) )
% 3.29/3.50            & ( R6
% 3.29/3.50              = ( relcompp_nat_rat_nat @ T4 @ ( conversep_nat_rat @ T4 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_alt_def5
% 3.29/3.50  thf(fact_1600_K__record__comp,axiom,
% 3.29/3.50      ! [C: $o,F: nat > $o] :
% 3.29/3.50        ( ( comp_o_o_nat
% 3.29/3.50          @ ^ [X4: $o] : C
% 3.29/3.50          @ F )
% 3.29/3.50        = ( ^ [X4: nat] : C ) ) ).
% 3.29/3.50  
% 3.29/3.50  % K_record_comp
% 3.29/3.50  thf(fact_1601_K__record__comp,axiom,
% 3.29/3.50      ! [C: num,F: int > nat] :
% 3.29/3.50        ( ( comp_nat_num_int
% 3.29/3.50          @ ^ [X4: nat] : C
% 3.29/3.50          @ F )
% 3.29/3.50        = ( ^ [X4: int] : C ) ) ).
% 3.29/3.50  
% 3.29/3.50  % K_record_comp
% 3.29/3.50  thf(fact_1602_K__record__comp,axiom,
% 3.29/3.50      ! [C: nat,F: nat > nat] :
% 3.29/3.50        ( ( comp_nat_nat_nat
% 3.29/3.50          @ ^ [X4: nat] : C
% 3.29/3.50          @ F )
% 3.29/3.50        = ( ^ [X4: nat] : C ) ) ).
% 3.29/3.50  
% 3.29/3.50  % K_record_comp
% 3.29/3.50  thf(fact_1603_K__record__comp,axiom,
% 3.29/3.50      ! [C: nat,F: int > int] :
% 3.29/3.50        ( ( comp_int_nat_int
% 3.29/3.50          @ ^ [X4: int] : C
% 3.29/3.50          @ F )
% 3.29/3.50        = ( ^ [X4: int] : C ) ) ).
% 3.29/3.50  
% 3.29/3.50  % K_record_comp
% 3.29/3.50  thf(fact_1604_K__record__comp,axiom,
% 3.29/3.50      ! [C: produc8923325533196201883nteger > produc8923325533196201883nteger,F: code_integer > code_integer > code_integer] :
% 3.29/3.50        ( ( comp_C8797469213163452608nteger
% 3.29/3.50          @ ^ [X4: code_integer > code_integer] : C
% 3.29/3.50          @ F )
% 3.29/3.50        = ( ^ [X4: code_integer] : C ) ) ).
% 3.29/3.50  
% 3.29/3.50  % K_record_comp
% 3.29/3.50  thf(fact_1605_image__paired__Times,axiom,
% 3.29/3.50      ! [F: nat > rat,G: int > nat,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( image_3755276878268593137at_nat
% 3.29/3.50          @ ( produc5347463441023893471at_nat
% 3.29/3.50            @ ^ [X4: nat,Y5: int] : ( product_Pair_rat_nat @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc454536836294682310at_int @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( produc140472662868866674at_nat @ ( image_nat_rat @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: rat] : ( image_int_nat @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1606_image__paired__Times,axiom,
% 3.29/3.50      ! [F: nat > rat,G: int > int,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( image_8800797895614172237at_int
% 3.29/3.50          @ ( produc1169612421514696763at_int
% 3.29/3.50            @ ^ [X4: nat,Y5: int] : ( product_Pair_rat_int @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc454536836294682310at_int @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( produc137982192359816398at_int @ ( image_nat_rat @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: rat] : ( image_int_int @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1607_image__paired__Times,axiom,
% 3.29/3.50      ! [F: nat > nat,G: int > int,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( image_9117352539549038149at_int
% 3.29/3.50          @ ( produc1486167065449562675at_int
% 3.29/3.50            @ ^ [X4: nat,Y5: int] : ( product_Pair_nat_int @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc454536836294682310at_int @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( produc454536836294682310at_int @ ( image_nat_nat @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: nat] : ( image_int_int @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1608_image__paired__Times,axiom,
% 3.29/3.50      ! [F: nat > int,G: int > nat,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( image_5071185234104513605nt_nat
% 3.29/3.50          @ ( produc6663371796859813939nt_nat
% 3.29/3.50            @ ^ [X4: nat,Y5: int] : ( product_Pair_int_nat @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc454536836294682310at_int @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( produc1456381018704787142nt_nat @ ( image_nat_int @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: int] : ( image_int_nat @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1609_image__paired__Times,axiom,
% 3.29/3.50      ! [F: int > nat,G: nat > rat,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( image_3420722608207172081at_rat
% 3.29/3.50          @ ( produc877984105854340063at_rat
% 3.29/3.50            @ ^ [X4: int,Y5: nat] : ( product_Pair_nat_rat @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc9045269283572012658at_rat @ ( image_int_nat @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: nat] : ( image_nat_rat @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1610_image__paired__Times,axiom,
% 3.29/3.50      ! [F: int > nat,G: nat > int,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( image_2751100147091372101at_int
% 3.29/3.50          @ ( produc208361644738540083at_int
% 3.29/3.50            @ ^ [X4: int,Y5: nat] : ( product_Pair_nat_int @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc454536836294682310at_int @ ( image_int_nat @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: nat] : ( image_nat_int @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1611_image__paired__Times,axiom,
% 3.29/3.50      ! [F: int > nat,G: int > int,A4: set_int,B5: set_int] :
% 3.29/3.50        ( ( image_1654017166447373545at_int
% 3.29/3.50          @ ( produc3246203729202673879at_int
% 3.29/3.50            @ ^ [X4: int,Y5: int] : ( product_Pair_nat_int @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc454536836294682310at_int @ ( image_int_nat @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: nat] : ( image_int_int @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1612_image__paired__Times,axiom,
% 3.29/3.50      ! [F: int > int,G: nat > rat,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( image_4420076320108226637nt_rat
% 3.29/3.50          @ ( produc1877337817755394619nt_rat
% 3.29/3.50            @ ^ [X4: int,Y5: nat] : ( product_Pair_int_rat @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc821250958618291406nt_rat @ ( image_int_int @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: int] : ( image_nat_rat @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1613_image__paired__Times,axiom,
% 3.29/3.50      ! [F: int > int,G: nat > nat,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( image_7928304878501623365nt_nat
% 3.29/3.50          @ ( produc5385566376148791347nt_nat
% 3.29/3.50            @ ^ [X4: int,Y5: nat] : ( product_Pair_int_nat @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc1456381018704787142nt_nat @ ( image_int_int @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: int] : ( image_nat_nat @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1614_image__paired__Times,axiom,
% 3.29/3.50      ! [F: int > int,G: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.50        ( ( image_6831221897857624809nt_nat
% 3.29/3.50          @ ( produc8423408460612925143nt_nat
% 3.29/3.50            @ ^ [X4: int,Y5: int] : ( product_Pair_int_nat @ ( F @ X4 ) @ ( G @ Y5 ) ) )
% 3.29/3.50          @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc1456381018704787142nt_nat @ ( image_int_int @ F @ A4 )
% 3.29/3.50          @ ^ [Uu: int] : ( image_int_nat @ G @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % image_paired_Times
% 3.29/3.50  thf(fact_1615_Gr__incl,axiom,
% 3.29/3.50      ! [A4: set_nat,F: nat > rat,B5: set_rat] :
% 3.29/3.50        ( ( ord_le5989899228261996553at_rat @ ( bNF_Gr_nat_rat @ A4 @ F )
% 3.29/3.50          @ ( produc9045269283572012658at_rat @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Gr_incl
% 3.29/3.50  thf(fact_1616_Gr__incl,axiom,
% 3.29/3.50      ! [A4: set_nat,F: nat > int,B5: set_int] :
% 3.29/3.50        ( ( ord_le656430383953171549at_int @ ( bNF_Gr_nat_int @ A4 @ F )
% 3.29/3.50          @ ( produc454536836294682310at_int @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Gr_incl
% 3.29/3.50  thf(fact_1617_Gr__incl,axiom,
% 3.29/3.50      ! [A4: set_int,F: int > nat,B5: set_nat] :
% 3.29/3.50        ( ( ord_le5333435103577920093nt_nat @ ( bNF_Gr_int_nat @ A4 @ F )
% 3.29/3.50          @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Gr_incl
% 3.29/3.50  thf(fact_1618_Gr__incl,axiom,
% 3.29/3.50      ! [A4: set_int,F: int > int,B5: set_int] :
% 3.29/3.50        ( ( ord_le2843351958646193337nt_int @ ( bNF_Gr_int_int @ A4 @ F )
% 3.29/3.50          @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Gr_incl
% 3.29/3.50  thf(fact_1619_Gr__incl,axiom,
% 3.29/3.50      ! [A4: set_nat,F: nat > nat,B5: set_nat] :
% 3.29/3.50        ( ( ord_le3146513528884898305at_nat @ ( bNF_Gr_nat_nat @ A4 @ F )
% 3.29/3.50          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Gr_incl
% 3.29/3.50  thf(fact_1620_subset__fst__snd,axiom,
% 3.29/3.50      ! [A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ord_le3146513528884898305at_nat @ A4
% 3.29/3.50        @ ( produc457027306803732586at_nat @ ( image_2486076414777270412at_nat @ product_fst_nat_nat @ A4 )
% 3.29/3.50          @ ^ [Uu: nat] : ( image_2486076414777270412at_nat @ product_snd_nat_nat @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_fst_snd
% 3.29/3.50  thf(fact_1621_subset__fst__snd,axiom,
% 3.29/3.50      ! [A4: set_Pr1133966238863718811t_unit] :
% 3.29/3.50        ( ord_le5525191956872776187t_unit @ A4
% 3.29/3.50        @ ( produc3946373962484743846t_unit @ ( image_7136766188234240905_ref_a @ produc473321116828791851t_unit @ A4 )
% 3.29/3.50          @ ^ [Uu: ref_a] : ( image_17660834435998945t_unit @ produc1126150082675451753t_unit @ A4 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % subset_fst_snd
% 3.29/3.50  thf(fact_1622_inv__image__def,axiom,
% 3.29/3.50      ( inv_im2903009620893676101at_nat
% 3.29/3.50      = ( ^ [R5: set_Pr7459493094073627847at_nat,F2: nat > set_Pr4329608150637261639at_nat] :
% 3.29/3.50            ( collec3392354462482085612at_nat
% 3.29/3.50            @ ( produc6081775807080527818_nat_o
% 3.29/3.50              @ ^ [X4: nat,Y5: nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1623_inv__image__def,axiom,
% 3.29/3.50      ( inv_im4437241714082187487at_nat
% 3.29/3.50      = ( ^ [R5: set_Pr4329608150637261639at_nat,F2: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.50            ( collec3392354462482085612at_nat
% 3.29/3.50            @ ( produc6081775807080527818_nat_o
% 3.29/3.50              @ ^ [X4: nat,Y5: nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1624_inv__image__def,axiom,
% 3.29/3.50      ( inv_image_nat_nat
% 3.29/3.50      = ( ^ [R5: set_Pr1261947904930325089at_nat,F2: nat > nat] :
% 3.29/3.50            ( collec3392354462482085612at_nat
% 3.29/3.50            @ ( produc6081775807080527818_nat_o
% 3.29/3.50              @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1625_inv__image__def,axiom,
% 3.29/3.50      ( inv_image_int_nat
% 3.29/3.50      = ( ^ [R5: set_Pr958786334691620121nt_int,F2: nat > int] :
% 3.29/3.50            ( collec3392354462482085612at_nat
% 3.29/3.50            @ ( produc6081775807080527818_nat_o
% 3.29/3.50              @ ^ [X4: nat,Y5: nat] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1626_inv__image__def,axiom,
% 3.29/3.50      ( inv_im2900519150384625825at_int
% 3.29/3.50      = ( ^ [R5: set_Pr7459493094073627847at_nat,F2: int > set_Pr4329608150637261639at_nat] :
% 3.29/3.50            ( collec213857154873943460nt_int
% 3.29/3.50            @ ( produc4947309494688390418_int_o
% 3.29/3.50              @ ^ [X4: int,Y5: int] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1627_inv__image__def,axiom,
% 3.29/3.50      ( inv_im4434751243573137211at_int
% 3.29/3.50      = ( ^ [R5: set_Pr4329608150637261639at_nat,F2: int > set_Pr1261947904930325089at_nat] :
% 3.29/3.50            ( collec213857154873943460nt_int
% 3.29/3.50            @ ( produc4947309494688390418_int_o
% 3.29/3.50              @ ^ [X4: int,Y5: int] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1628_inv__image__def,axiom,
% 3.29/3.50      ( inv_image_nat_int
% 3.29/3.50      = ( ^ [R5: set_Pr1261947904930325089at_nat,F2: int > nat] :
% 3.29/3.50            ( collec213857154873943460nt_int
% 3.29/3.50            @ ( produc4947309494688390418_int_o
% 3.29/3.50              @ ^ [X4: int,Y5: int] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1629_inv__image__def,axiom,
% 3.29/3.50      ( inv_image_int_int
% 3.29/3.50      = ( ^ [R5: set_Pr958786334691620121nt_int,F2: int > int] :
% 3.29/3.50            ( collec213857154873943460nt_int
% 3.29/3.50            @ ( produc4947309494688390418_int_o
% 3.29/3.50              @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F2 @ X4 ) @ ( F2 @ Y5 ) ) @ R5 ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % inv_image_def
% 3.29/3.50  thf(fact_1630_The__case__prod,axiom,
% 3.29/3.50      ! [P2: ref_a > heap_e7401611519738050253t_unit > $o] :
% 3.29/3.50        ( ( the_Pr5012129486825234846t_unit @ ( produc4924168586796184916unit_o @ P2 ) )
% 3.29/3.50        = ( the_Pr5012129486825234846t_unit
% 3.29/3.50          @ ^ [Xy: produc7812382424243267045t_unit] : ( P2 @ ( produc473321116828791851t_unit @ Xy ) @ ( produc1126150082675451753t_unit @ Xy ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_case_prod
% 3.29/3.50  thf(fact_1631_The__case__prod,axiom,
% 3.29/3.50      ! [P2: int > int > $o] :
% 3.29/3.50        ( ( the_Pr4378521158711661632nt_int @ ( produc4947309494688390418_int_o @ P2 ) )
% 3.29/3.50        = ( the_Pr4378521158711661632nt_int
% 3.29/3.50          @ ^ [Xy: product_prod_int_int] : ( P2 @ ( product_fst_int_int @ Xy ) @ ( product_snd_int_int @ Xy ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_case_prod
% 3.29/3.50  thf(fact_1632_Quotient__composition__ge__eq,axiom,
% 3.29/3.50      ! [T3: int > product_prod_nat_nat > $o,R3: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( left_t8261381459436684205at_nat @ T3 )
% 3.29/3.50       => ( ( ord_le5604493270027003598_nat_o
% 3.29/3.50            @ ^ [Y2: product_prod_nat_nat,Z: product_prod_nat_nat] : ( Y2 = Z )
% 3.29/3.50            @ R3 )
% 3.29/3.50         => ( ord_le6741204236512500942_int_o
% 3.29/3.50            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50            @ ( relcom1106208330880909712at_int @ T3 @ ( relcom8911704206367525917at_int @ R3 @ ( conver1866313717161370910at_nat @ T3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_composition_ge_eq
% 3.29/3.50  thf(fact_1633_Quotient__composition__ge__eq,axiom,
% 3.29/3.50      ! [T3: code_integer > int > $o,R3: int > int > $o] :
% 3.29/3.50        ( ( left_t1735413524555719857er_int @ T3 )
% 3.29/3.50       => ( ( ord_le6741204236512500942_int_o
% 3.29/3.50            @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.50            @ R3 )
% 3.29/3.50         => ( ord_le3602516367967493612eger_o
% 3.29/3.50            @ ^ [Y2: code_integer,Z: code_integer] : ( Y2 = Z )
% 3.29/3.50            @ ( relcom692387321444912665nteger @ T3 @ ( relcom967497705283160040nteger @ R3 @ ( conver1462408618118490240er_int @ T3 ) ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_composition_ge_eq
% 3.29/3.50  thf(fact_1634_Quotient__composition__le__eq,axiom,
% 3.29/3.50      ! [T3: int > product_prod_nat_nat > $o,R3: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( left_u1182257597767569412at_nat @ T3 )
% 3.29/3.50       => ( ( ord_le5604493270027003598_nat_o @ R3
% 3.29/3.50            @ ^ [Y2: product_prod_nat_nat,Z: product_prod_nat_nat] : ( Y2 = Z ) )
% 3.29/3.50         => ( ord_le6741204236512500942_int_o @ ( relcom1106208330880909712at_int @ T3 @ ( relcom8911704206367525917at_int @ R3 @ ( conver1866313717161370910at_nat @ T3 ) ) )
% 3.29/3.50            @ ^ [Y2: int,Z: int] : ( Y2 = Z ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_composition_le_eq
% 3.29/3.50  thf(fact_1635_Quotient__composition__le__eq,axiom,
% 3.29/3.50      ! [T3: code_integer > int > $o,R3: int > int > $o] :
% 3.29/3.50        ( ( left_u6156896403773009178er_int @ T3 )
% 3.29/3.50       => ( ( ord_le6741204236512500942_int_o @ R3
% 3.29/3.50            @ ^ [Y2: int,Z: int] : ( Y2 = Z ) )
% 3.29/3.50         => ( ord_le3602516367967493612eger_o @ ( relcom692387321444912665nteger @ T3 @ ( relcom967497705283160040nteger @ R3 @ ( conver1462408618118490240er_int @ T3 ) ) )
% 3.29/3.50            @ ^ [Y2: code_integer,Z: code_integer] : ( Y2 = Z ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_composition_le_eq
% 3.29/3.50  thf(fact_1636_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: $o,B: $o,A4: set_o,B5: $o > set_o] :
% 3.29/3.50        ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ ( product_Sigma_o_o @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_o @ A @ A4 )
% 3.29/3.50          & ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1637_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: $o,B: nat,A4: set_o,B5: $o > set_nat] :
% 3.29/3.50        ( ( member2802428098988154798_o_nat @ ( product_Pair_o_nat @ A @ B ) @ ( product_Sigma_o_nat @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_o @ A @ A4 )
% 3.29/3.50          & ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1638_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: $o,B: int,A4: set_o,B5: $o > set_int] :
% 3.29/3.50        ( ( member7847949116333733898_o_int @ ( product_Pair_o_int @ A @ B ) @ ( product_Sigma_o_int @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_o @ A @ A4 )
% 3.29/3.50          & ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1639_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: nat,B: $o,A4: set_nat,B5: nat > set_o] :
% 3.29/3.50        ( ( member6310962623043647828_nat_o @ ( product_Pair_nat_o @ A @ B ) @ ( product_Sigma_nat_o @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_nat @ A @ A4 )
% 3.29/3.50          & ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1640_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: nat,B: int,A4: set_nat,B5: nat > set_int] :
% 3.29/3.50        ( ( member4262671552274231302at_int @ ( product_Pair_nat_int @ A @ B ) @ ( produc454536836294682310at_int @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_nat @ A @ A4 )
% 3.29/3.50          & ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1641_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: int,B: $o,A4: set_int,B5: int > set_o] :
% 3.29/3.50        ( ( member4489920277610959864_int_o @ ( product_Pair_int_o @ A @ B ) @ ( product_Sigma_int_o @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_int @ A @ A4 )
% 3.29/3.50          & ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1642_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: int,B: nat,A4: set_int,B5: int > set_nat] :
% 3.29/3.50        ( ( member216504246829706758nt_nat @ ( product_Pair_int_nat @ A @ B ) @ ( produc1456381018704787142nt_nat @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_int @ A @ A4 )
% 3.29/3.50          & ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1643_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_nat,B5: nat > set_num] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ ( produc6237731129814287028at_num @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_nat @ A @ A4 )
% 3.29/3.50          & ( member_num @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1644_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_int,B5: int > set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ ( produc1453890548195736866nt_int @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_int @ A @ A4 )
% 3.29/3.50          & ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1645_mem__Sigma__iff,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.50        = ( ( member_nat @ A @ A4 )
% 3.29/3.50          & ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Sigma_iff
% 3.29/3.50  thf(fact_1646_SigmaI,axiom,
% 3.29/3.50      ! [A: $o,A4: set_o,B: $o,B5: $o > set_o] :
% 3.29/3.50        ( ( member_o @ A @ A4 )
% 3.29/3.50       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ ( product_Sigma_o_o @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1647_SigmaI,axiom,
% 3.29/3.50      ! [A: $o,A4: set_o,B: nat,B5: $o > set_nat] :
% 3.29/3.50        ( ( member_o @ A @ A4 )
% 3.29/3.50       => ( ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member2802428098988154798_o_nat @ ( product_Pair_o_nat @ A @ B ) @ ( product_Sigma_o_nat @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1648_SigmaI,axiom,
% 3.29/3.50      ! [A: $o,A4: set_o,B: int,B5: $o > set_int] :
% 3.29/3.50        ( ( member_o @ A @ A4 )
% 3.29/3.50       => ( ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member7847949116333733898_o_int @ ( product_Pair_o_int @ A @ B ) @ ( product_Sigma_o_int @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1649_SigmaI,axiom,
% 3.29/3.50      ! [A: nat,A4: set_nat,B: $o,B5: nat > set_o] :
% 3.29/3.50        ( ( member_nat @ A @ A4 )
% 3.29/3.50       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member6310962623043647828_nat_o @ ( product_Pair_nat_o @ A @ B ) @ ( product_Sigma_nat_o @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1650_SigmaI,axiom,
% 3.29/3.50      ! [A: nat,A4: set_nat,B: int,B5: nat > set_int] :
% 3.29/3.50        ( ( member_nat @ A @ A4 )
% 3.29/3.50       => ( ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member4262671552274231302at_int @ ( product_Pair_nat_int @ A @ B ) @ ( produc454536836294682310at_int @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1651_SigmaI,axiom,
% 3.29/3.50      ! [A: int,A4: set_int,B: $o,B5: int > set_o] :
% 3.29/3.50        ( ( member_int @ A @ A4 )
% 3.29/3.50       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member4489920277610959864_int_o @ ( product_Pair_int_o @ A @ B ) @ ( product_Sigma_int_o @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1652_SigmaI,axiom,
% 3.29/3.50      ! [A: int,A4: set_int,B: nat,B5: int > set_nat] :
% 3.29/3.50        ( ( member_int @ A @ A4 )
% 3.29/3.50       => ( ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member216504246829706758nt_nat @ ( product_Pair_int_nat @ A @ B ) @ ( produc1456381018704787142nt_nat @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1653_SigmaI,axiom,
% 3.29/3.50      ! [A: nat,A4: set_nat,B: num,B5: nat > set_num] :
% 3.29/3.50        ( ( member_nat @ A @ A4 )
% 3.29/3.50       => ( ( member_num @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ ( produc6237731129814287028at_num @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1654_SigmaI,axiom,
% 3.29/3.50      ! [A: int,A4: set_int,B: int,B5: int > set_int] :
% 3.29/3.50        ( ( member_int @ A @ A4 )
% 3.29/3.50       => ( ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ ( produc1453890548195736866nt_int @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1655_SigmaI,axiom,
% 3.29/3.50      ! [A: nat,A4: set_nat,B: nat,B5: nat > set_nat] :
% 3.29/3.50        ( ( member_nat @ A @ A4 )
% 3.29/3.50       => ( ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.50         => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ ( produc457027306803732586at_nat @ A4 @ B5 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaI
% 3.29/3.50  thf(fact_1656_in__inv__image,axiom,
% 3.29/3.50      ! [X2: nat,Y3: nat,R: set_Pr1261947904930325089at_nat,F: nat > nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ ( inv_image_nat_nat @ R @ F ) )
% 3.29/3.50        = ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1657_in__inv__image,axiom,
% 3.29/3.50      ! [X2: nat,Y3: nat,R: set_Pr958786334691620121nt_int,F: nat > int] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ ( inv_image_int_nat @ R @ F ) )
% 3.29/3.50        = ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1658_in__inv__image,axiom,
% 3.29/3.50      ! [X2: int,Y3: int,R: set_Pr1261947904930325089at_nat,F: int > nat] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ ( inv_image_nat_int @ R @ F ) )
% 3.29/3.50        = ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1659_in__inv__image,axiom,
% 3.29/3.50      ! [X2: int,Y3: int,R: set_Pr958786334691620121nt_int,F: int > int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ ( inv_image_int_int @ R @ F ) )
% 3.29/3.50        = ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1660_in__inv__image,axiom,
% 3.29/3.50      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,R: set_Pr1261947904930325089at_nat,F: set_Pr1261947904930325089at_nat > nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ ( inv_im6750873321330482877at_nat @ R @ F ) )
% 3.29/3.50        = ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1661_in__inv__image,axiom,
% 3.29/3.50      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,R: set_Pr958786334691620121nt_int,F: set_Pr1261947904930325089at_nat > int] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ ( inv_im8510909985083594081at_nat @ R @ F ) )
% 3.29/3.50        = ( member5262025264175285858nt_int @ ( product_Pair_int_int @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1662_in__inv__image,axiom,
% 3.29/3.50      ! [X2: nat,Y3: nat,R: set_Pr4329608150637261639at_nat,F: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ ( inv_im4437241714082187487at_nat @ R @ F ) )
% 3.29/3.50        = ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1663_in__inv__image,axiom,
% 3.29/3.50      ! [X2: int,Y3: int,R: set_Pr4329608150637261639at_nat,F: int > set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ ( inv_im4434751243573137211at_int @ R @ F ) )
% 3.29/3.50        = ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1664_in__inv__image,axiom,
% 3.29/3.50      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat,R: set_Pr4329608150637261639at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ ( inv_im7023619800666061458at_nat @ R @ F ) )
% 3.29/3.50        = ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1665_in__inv__image,axiom,
% 3.29/3.50      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat,R: set_Pr1261947904930325089at_nat,F: set_Pr4329608150637261639at_nat > nat] :
% 3.29/3.50        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) @ ( inv_im2354225701593503139at_nat @ R @ F ) )
% 3.29/3.50        = ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ ( F @ X2 ) @ ( F @ Y3 ) ) @ R ) ) ).
% 3.29/3.50  
% 3.29/3.50  % in_inv_image
% 3.29/3.50  thf(fact_1666_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,Q2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( collec7088162979684241874at_nat
% 3.29/3.50          @ ( produc6590410687421337004_nat_o
% 3.29/3.50            @ ^ [A5: product_prod_nat_nat,B4: product_prod_nat_nat] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc2761391749766926216at_nat @ ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.50          @ ^ [Uu: product_prod_nat_nat] : ( collec3392354462482085612at_nat @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1667_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,Q2: nat > $o] :
% 3.29/3.50        ( ( collec7029190964493513045at_nat
% 3.29/3.50          @ ( produc8758269395934548017_nat_o
% 3.29/3.50            @ ^ [A5: product_prod_nat_nat,B4: nat] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc7672662199629908489at_nat @ ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.50          @ ^ [Uu: product_prod_nat_nat] : ( collect_nat @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1668_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,Q2: product_prod_int_int > $o] :
% 3.29/3.50        ( ( collec6785001409445536906nt_int
% 3.29/3.50          @ ( produc5031841752791441652_int_o
% 3.29/3.50            @ ^ [A5: product_prod_nat_nat,B4: product_prod_int_int] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc8806266479013559872nt_int @ ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.50          @ ^ [Uu: product_prod_nat_nat] : ( collec213857154873943460nt_int @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1669_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: nat > $o,Q2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( collec5903703980526211963at_nat
% 3.29/3.50          @ ( produc5864757623865647827_nat_o
% 3.29/3.50            @ ^ [A5: nat,B4: product_prod_nat_nat] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc1809337555817847783at_nat @ ( collect_nat @ P2 )
% 3.29/3.50          @ ^ [Uu: nat] : ( collec3392354462482085612at_nat @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1670_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: nat > $o,Q2: product_prod_int_int > $o] :
% 3.29/3.50        ( ( collec5600542410287506995nt_int
% 3.29/3.50          @ ( produc4306188689235752475_int_o
% 3.29/3.50            @ ^ [A5: nat,B4: product_prod_int_int] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc7854212285064481439nt_int @ ( collect_nat @ P2 )
% 3.29/3.50          @ ^ [Uu: nat] : ( collec213857154873943460nt_int @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1671_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: product_prod_int_int > $o,Q2: product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( collec7751116662793354522at_nat
% 3.29/3.50          @ ( produc3235059054576640100_nat_o
% 3.29/3.50            @ ^ [A5: product_prod_int_int,B4: product_prod_nat_nat] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc3424345432876038864at_nat @ ( collec213857154873943460nt_int @ P2 )
% 3.29/3.50          @ ^ [Uu: product_prod_int_int] : ( collec3392354462482085612at_nat @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1672_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: product_prod_int_int > $o,Q2: nat > $o] :
% 3.29/3.50        ( ( collec364394062568603661nt_nat
% 3.29/3.50          @ ( produc5441891513209881465_nat_o
% 3.29/3.50            @ ^ [A5: product_prod_int_int,B4: nat] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc1007865297704999105nt_nat @ ( collec213857154873943460nt_int @ P2 )
% 3.29/3.50          @ ^ [Uu: product_prod_int_int] : ( collect_nat @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1673_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: product_prod_int_int > $o,Q2: product_prod_int_int > $o] :
% 3.29/3.50        ( ( collec7447955092554649554nt_int
% 3.29/3.50          @ ( produc1676490119946744748_int_o
% 3.29/3.50            @ ^ [A5: product_prod_int_int,B4: product_prod_int_int] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc245848125267896712nt_int @ ( collec213857154873943460nt_int @ P2 )
% 3.29/3.50          @ ^ [Uu: product_prod_int_int] : ( collec213857154873943460nt_int @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1674_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: nat > $o,Q2: nat > $o] :
% 3.29/3.50        ( ( collec3392354462482085612at_nat
% 3.29/3.50          @ ( produc6081775807080527818_nat_o
% 3.29/3.50            @ ^ [A5: nat,B4: nat] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc457027306803732586at_nat @ ( collect_nat @ P2 )
% 3.29/3.50          @ ^ [Uu: nat] : ( collect_nat @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1675_Collect__case__prod,axiom,
% 3.29/3.50      ! [P2: int > $o,Q2: int > $o] :
% 3.29/3.50        ( ( collec213857154873943460nt_int
% 3.29/3.50          @ ( produc4947309494688390418_int_o
% 3.29/3.50            @ ^ [A5: int,B4: int] :
% 3.29/3.50                ( ( P2 @ A5 )
% 3.29/3.50                & ( Q2 @ B4 ) ) ) )
% 3.29/3.50        = ( produc1453890548195736866nt_int @ ( collect_int @ P2 )
% 3.29/3.50          @ ^ [Uu: int] : ( collect_int @ Q2 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod
% 3.29/3.50  thf(fact_1676_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc2936396906406871148r_char @ top_top_set_char
% 3.29/3.50        @ ^ [Uu: char] : top_top_set_char )
% 3.29/3.50      = top_to1235241553633177651r_char ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1677_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc1204236661673008499ar_rat @ top_top_set_char
% 3.29/3.50        @ ^ [Uu: char] : top_top_set_rat )
% 3.29/3.50      = top_to8437673547576850234ar_rat ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1678_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc1839366721759504235ar_nat @ top_top_set_char
% 3.29/3.50        @ ^ [Uu: char] : top_top_set_nat )
% 3.29/3.50      = top_to5594287848199751986ar_nat ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1679_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc1836876251250453959ar_int @ top_top_set_char
% 3.29/3.50        @ ^ [Uu: char] : top_top_set_int )
% 3.29/3.50      = top_to3104204703268025230ar_int ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1680_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc1427039474575272051t_char @ top_top_set_rat
% 3.29/3.50        @ ^ [Uu: rat] : top_top_set_char )
% 3.29/3.50      = top_to3221206985699244474t_char ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1681_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc8728714639637146746at_rat @ top_top_set_rat
% 3.29/3.50        @ ^ [Uu: rat] : top_top_set_rat )
% 3.29/3.50      = top_to3112507417142880193at_rat ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1682_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc140472662868866674at_nat @ top_top_set_rat
% 3.29/3.50        @ ^ [Uu: rat] : top_top_set_nat )
% 3.29/3.50      = top_to269121717765781945at_nat ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1683_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc137982192359816398at_int @ top_top_set_rat
% 3.29/3.50        @ ^ [Uu: rat] : top_top_set_int )
% 3.29/3.50      = top_to7002410609688830997at_int ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1684_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc4754187946284079723t_char @ top_top_set_nat
% 3.29/3.50        @ ^ [Uu: nat] : top_top_set_char )
% 3.29/3.50      = top_to7107842681480589234t_char ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1685_UNIV__Times__UNIV,axiom,
% 3.29/3.50      ( ( produc9045269283572012658at_rat @ top_top_set_nat
% 3.29/3.50        @ ^ [Uu: nat] : top_top_set_rat )
% 3.29/3.50      = top_to7513191607651882425at_rat ) ).
% 3.29/3.50  
% 3.29/3.50  % UNIV_Times_UNIV
% 3.29/3.50  thf(fact_1686_The__split__eq,axiom,
% 3.29/3.50      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.50        ( ( the_Pr4877703158196064750at_nat
% 3.29/3.50          @ ( produc9020218426428501292_nat_o
% 3.29/3.50            @ ^ [X7: set_Pr4329608150637261639at_nat,Y6: set_Pr4329608150637261639at_nat] :
% 3.29/3.50                ( ( X2 = X7 )
% 3.29/3.50                & ( Y3 = Y6 ) ) ) )
% 3.29/3.50        = ( produc9060074326276436823at_nat @ X2 @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_split_eq
% 3.29/3.50  thf(fact_1687_The__split__eq,axiom,
% 3.29/3.50      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.50        ( ( the_Pr4604535484834969198at_nat
% 3.29/3.50          @ ( produc410239310623530412_nat_o
% 3.29/3.50            @ ^ [X7: set_Pr1261947904930325089at_nat,Y6: set_Pr1261947904930325089at_nat] :
% 3.29/3.50                ( ( X2 = X7 )
% 3.29/3.50                & ( Y3 = Y6 ) ) ) )
% 3.29/3.50        = ( produc2922128104949294807at_nat @ X2 @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_split_eq
% 3.29/3.50  thf(fact_1688_The__split__eq,axiom,
% 3.29/3.50      ! [X2: nat,Y3: num] :
% 3.29/3.50        ( ( the_Pr8265262403268641490at_num
% 3.29/3.50          @ ( produc4927758841916487424_num_o
% 3.29/3.50            @ ^ [X7: nat,Y6: num] :
% 3.29/3.50                ( ( X2 = X7 )
% 3.29/3.50                & ( Y3 = Y6 ) ) ) )
% 3.29/3.50        = ( product_Pair_nat_num @ X2 @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_split_eq
% 3.29/3.50  thf(fact_1689_The__split__eq,axiom,
% 3.29/3.50      ! [X2: nat,Y3: nat] :
% 3.29/3.50        ( ( the_Pr7557018466319803784at_nat
% 3.29/3.50          @ ( produc6081775807080527818_nat_o
% 3.29/3.50            @ ^ [X7: nat,Y6: nat] :
% 3.29/3.50                ( ( X2 = X7 )
% 3.29/3.50                & ( Y3 = Y6 ) ) ) )
% 3.29/3.50        = ( product_Pair_nat_nat @ X2 @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_split_eq
% 3.29/3.50  thf(fact_1690_The__split__eq,axiom,
% 3.29/3.50      ! [X2: int,Y3: int] :
% 3.29/3.50        ( ( the_Pr4378521158711661632nt_int
% 3.29/3.50          @ ( produc4947309494688390418_int_o
% 3.29/3.50            @ ^ [X7: int,Y6: int] :
% 3.29/3.50                ( ( X2 = X7 )
% 3.29/3.50                & ( Y3 = Y6 ) ) ) )
% 3.29/3.50        = ( product_Pair_int_int @ X2 @ Y3 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % The_split_eq
% 3.29/3.50  thf(fact_1691_Times__eq__cancel2,axiom,
% 3.29/3.50      ! [X2: nat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( member_nat @ X2 @ C3 )
% 3.29/3.50       => ( ( ( produc457027306803732586at_nat @ A4
% 3.29/3.50              @ ^ [Uu: nat] : C3 )
% 3.29/3.50            = ( produc457027306803732586at_nat @ B5
% 3.29/3.50              @ ^ [Uu: nat] : C3 ) )
% 3.29/3.50          = ( A4 = B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Times_eq_cancel2
% 3.29/3.50  thf(fact_1692_Sigma__cong,axiom,
% 3.29/3.50      ! [A4: set_nat,B5: set_nat,C3: nat > set_nat,D: nat > set_nat] :
% 3.29/3.50        ( ( A4 = B5 )
% 3.29/3.50       => ( ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ B5 )
% 3.29/3.50             => ( ( C3 @ X )
% 3.29/3.50                = ( D @ X ) ) )
% 3.29/3.50         => ( ( produc457027306803732586at_nat @ A4 @ C3 )
% 3.29/3.50            = ( produc457027306803732586at_nat @ B5 @ D ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Sigma_cong
% 3.29/3.50  thf(fact_1693_SigmaE2,axiom,
% 3.29/3.50      ! [A: $o,B: $o,A4: set_o,B5: $o > set_o] :
% 3.29/3.50        ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ ( product_Sigma_o_o @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_o @ A @ A4 )
% 3.29/3.50           => ~ ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1694_SigmaE2,axiom,
% 3.29/3.50      ! [A: $o,B: nat,A4: set_o,B5: $o > set_nat] :
% 3.29/3.50        ( ( member2802428098988154798_o_nat @ ( product_Pair_o_nat @ A @ B ) @ ( product_Sigma_o_nat @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_o @ A @ A4 )
% 3.29/3.50           => ~ ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1695_SigmaE2,axiom,
% 3.29/3.50      ! [A: $o,B: int,A4: set_o,B5: $o > set_int] :
% 3.29/3.50        ( ( member7847949116333733898_o_int @ ( product_Pair_o_int @ A @ B ) @ ( product_Sigma_o_int @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_o @ A @ A4 )
% 3.29/3.50           => ~ ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1696_SigmaE2,axiom,
% 3.29/3.50      ! [A: nat,B: $o,A4: set_nat,B5: nat > set_o] :
% 3.29/3.50        ( ( member6310962623043647828_nat_o @ ( product_Pair_nat_o @ A @ B ) @ ( product_Sigma_nat_o @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_nat @ A @ A4 )
% 3.29/3.50           => ~ ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1697_SigmaE2,axiom,
% 3.29/3.50      ! [A: nat,B: int,A4: set_nat,B5: nat > set_int] :
% 3.29/3.50        ( ( member4262671552274231302at_int @ ( product_Pair_nat_int @ A @ B ) @ ( produc454536836294682310at_int @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_nat @ A @ A4 )
% 3.29/3.50           => ~ ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1698_SigmaE2,axiom,
% 3.29/3.50      ! [A: int,B: $o,A4: set_int,B5: int > set_o] :
% 3.29/3.50        ( ( member4489920277610959864_int_o @ ( product_Pair_int_o @ A @ B ) @ ( product_Sigma_int_o @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_int @ A @ A4 )
% 3.29/3.50           => ~ ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1699_SigmaE2,axiom,
% 3.29/3.50      ! [A: int,B: nat,A4: set_int,B5: int > set_nat] :
% 3.29/3.50        ( ( member216504246829706758nt_nat @ ( product_Pair_int_nat @ A @ B ) @ ( produc1456381018704787142nt_nat @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_int @ A @ A4 )
% 3.29/3.50           => ~ ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1700_SigmaE2,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_nat,B5: nat > set_num] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ ( produc6237731129814287028at_num @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_nat @ A @ A4 )
% 3.29/3.50           => ~ ( member_num @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1701_SigmaE2,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_int,B5: int > set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ ( produc1453890548195736866nt_int @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_int @ A @ A4 )
% 3.29/3.50           => ~ ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1702_SigmaE2,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ~ ( ( member_nat @ A @ A4 )
% 3.29/3.50           => ~ ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE2
% 3.29/3.50  thf(fact_1703_SigmaD2,axiom,
% 3.29/3.50      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat,B5: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ ( produc6258361011560675592at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ( member6273874620674182256at_nat @ B @ ( B5 @ A ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD2
% 3.29/3.50  thf(fact_1704_SigmaD2,axiom,
% 3.29/3.50      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat,B5: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ ( produc7726050920695093128at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ( member2643936169264416010at_nat @ B @ ( B5 @ A ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD2
% 3.29/3.50  thf(fact_1705_SigmaD2,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_nat,B5: nat > set_num] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ ( produc6237731129814287028at_num @ A4 @ B5 ) )
% 3.29/3.50       => ( member_num @ B @ ( B5 @ A ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD2
% 3.29/3.50  thf(fact_1706_SigmaD2,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_int,B5: int > set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ ( produc1453890548195736866nt_int @ A4 @ B5 ) )
% 3.29/3.50       => ( member_int @ B @ ( B5 @ A ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD2
% 3.29/3.50  thf(fact_1707_SigmaD2,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ( member_nat @ B @ ( B5 @ A ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD2
% 3.29/3.50  thf(fact_1708_SigmaD1,axiom,
% 3.29/3.50      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat,A4: set_se5479201105039950375at_nat,B5: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ ( produc6258361011560675592at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ( member6273874620674182256at_nat @ A @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD1
% 3.29/3.50  thf(fact_1709_SigmaD1,axiom,
% 3.29/3.50      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,A4: set_se7855581050983116737at_nat,B5: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ ( produc7726050920695093128at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ( member2643936169264416010at_nat @ A @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD1
% 3.29/3.50  thf(fact_1710_SigmaD1,axiom,
% 3.29/3.50      ! [A: nat,B: num,A4: set_nat,B5: nat > set_num] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ ( product_Pair_nat_num @ A @ B ) @ ( produc6237731129814287028at_num @ A4 @ B5 ) )
% 3.29/3.50       => ( member_nat @ A @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD1
% 3.29/3.50  thf(fact_1711_SigmaD1,axiom,
% 3.29/3.50      ! [A: int,B: int,A4: set_int,B5: int > set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ ( produc1453890548195736866nt_int @ A4 @ B5 ) )
% 3.29/3.50       => ( member_int @ A @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD1
% 3.29/3.50  thf(fact_1712_SigmaD1,axiom,
% 3.29/3.50      ! [A: nat,B: nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ( member_nat @ A @ A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaD1
% 3.29/3.50  thf(fact_1713_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_o_o,A4: set_o,B5: $o > set_o] :
% 3.29/3.50        ( ( member7466972457876170832od_o_o @ C @ ( product_Sigma_o_o @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( member_o @ X @ A4 )
% 3.29/3.50             => ! [Y: $o] :
% 3.29/3.50                  ( ( member_o @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_o_o @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1714_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_o_nat,A4: set_o,B5: $o > set_nat] :
% 3.29/3.50        ( ( member2802428098988154798_o_nat @ C @ ( product_Sigma_o_nat @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( member_o @ X @ A4 )
% 3.29/3.50             => ! [Y: nat] :
% 3.29/3.50                  ( ( member_nat @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_o_nat @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1715_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_o_int,A4: set_o,B5: $o > set_int] :
% 3.29/3.50        ( ( member7847949116333733898_o_int @ C @ ( product_Sigma_o_int @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: $o] :
% 3.29/3.50              ( ( member_o @ X @ A4 )
% 3.29/3.50             => ! [Y: int] :
% 3.29/3.50                  ( ( member_int @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_o_int @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1716_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_nat_o,A4: set_nat,B5: nat > set_o] :
% 3.29/3.50        ( ( member6310962623043647828_nat_o @ C @ ( product_Sigma_nat_o @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ A4 )
% 3.29/3.50             => ! [Y: $o] :
% 3.29/3.50                  ( ( member_o @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_nat_o @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1717_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_nat_int,A4: set_nat,B5: nat > set_int] :
% 3.29/3.50        ( ( member4262671552274231302at_int @ C @ ( produc454536836294682310at_int @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ A4 )
% 3.29/3.50             => ! [Y: int] :
% 3.29/3.50                  ( ( member_int @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_nat_int @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1718_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_int_o,A4: set_int,B5: int > set_o] :
% 3.29/3.50        ( ( member4489920277610959864_int_o @ C @ ( product_Sigma_int_o @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ A4 )
% 3.29/3.50             => ! [Y: $o] :
% 3.29/3.50                  ( ( member_o @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_int_o @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1719_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_int_nat,A4: set_int,B5: int > set_nat] :
% 3.29/3.50        ( ( member216504246829706758nt_nat @ C @ ( produc1456381018704787142nt_nat @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ A4 )
% 3.29/3.50             => ! [Y: nat] :
% 3.29/3.50                  ( ( member_nat @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_int_nat @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1720_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_nat_num,A4: set_nat,B5: nat > set_num] :
% 3.29/3.50        ( ( member9148766508732265716at_num @ C @ ( produc6237731129814287028at_num @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ A4 )
% 3.29/3.50             => ! [Y: num] :
% 3.29/3.50                  ( ( member_num @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_nat_num @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1721_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_int_int,A4: set_int,B5: int > set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ C @ ( produc1453890548195736866nt_int @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: int] :
% 3.29/3.50              ( ( member_int @ X @ A4 )
% 3.29/3.50             => ! [Y: int] :
% 3.29/3.50                  ( ( member_int @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_int_int @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1722_SigmaE,axiom,
% 3.29/3.50      ! [C: product_prod_nat_nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ C @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.50       => ~ ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ A4 )
% 3.29/3.50             => ! [Y: nat] :
% 3.29/3.50                  ( ( member_nat @ Y @ ( B5 @ X ) )
% 3.29/3.50                 => ( C
% 3.29/3.50                   != ( product_Pair_nat_nat @ X @ Y ) ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % SigmaE
% 3.29/3.50  thf(fact_1723_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,Q2: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( collec7088162979684241874at_nat
% 3.29/3.50          @ ( produc6590410687421337004_nat_o
% 3.29/3.50            @ ^ [X4: product_prod_nat_nat,Y5: product_prod_nat_nat] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc2761391749766926216at_nat @ ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.50          @ ^ [X4: product_prod_nat_nat] : ( collec3392354462482085612at_nat @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1724_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,Q2: product_prod_nat_nat > nat > $o] :
% 3.29/3.50        ( ( collec7029190964493513045at_nat
% 3.29/3.50          @ ( produc8758269395934548017_nat_o
% 3.29/3.50            @ ^ [X4: product_prod_nat_nat,Y5: nat] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc7672662199629908489at_nat @ ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.50          @ ^ [X4: product_prod_nat_nat] : ( collect_nat @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1725_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: product_prod_nat_nat > $o,Q2: product_prod_nat_nat > product_prod_int_int > $o] :
% 3.29/3.50        ( ( collec6785001409445536906nt_int
% 3.29/3.50          @ ( produc5031841752791441652_int_o
% 3.29/3.50            @ ^ [X4: product_prod_nat_nat,Y5: product_prod_int_int] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc8806266479013559872nt_int @ ( collec3392354462482085612at_nat @ P2 )
% 3.29/3.50          @ ^ [X4: product_prod_nat_nat] : ( collec213857154873943460nt_int @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1726_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: nat > $o,Q2: nat > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( collec5903703980526211963at_nat
% 3.29/3.50          @ ( produc5864757623865647827_nat_o
% 3.29/3.50            @ ^ [X4: nat,Y5: product_prod_nat_nat] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc1809337555817847783at_nat @ ( collect_nat @ P2 )
% 3.29/3.50          @ ^ [X4: nat] : ( collec3392354462482085612at_nat @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1727_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: nat > $o,Q2: nat > product_prod_int_int > $o] :
% 3.29/3.50        ( ( collec5600542410287506995nt_int
% 3.29/3.50          @ ( produc4306188689235752475_int_o
% 3.29/3.50            @ ^ [X4: nat,Y5: product_prod_int_int] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc7854212285064481439nt_int @ ( collect_nat @ P2 )
% 3.29/3.50          @ ^ [X4: nat] : ( collec213857154873943460nt_int @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1728_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: product_prod_int_int > $o,Q2: product_prod_int_int > product_prod_nat_nat > $o] :
% 3.29/3.50        ( ( collec7751116662793354522at_nat
% 3.29/3.50          @ ( produc3235059054576640100_nat_o
% 3.29/3.50            @ ^ [X4: product_prod_int_int,Y5: product_prod_nat_nat] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc3424345432876038864at_nat @ ( collec213857154873943460nt_int @ P2 )
% 3.29/3.50          @ ^ [X4: product_prod_int_int] : ( collec3392354462482085612at_nat @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1729_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: product_prod_int_int > $o,Q2: product_prod_int_int > nat > $o] :
% 3.29/3.50        ( ( collec364394062568603661nt_nat
% 3.29/3.50          @ ( produc5441891513209881465_nat_o
% 3.29/3.50            @ ^ [X4: product_prod_int_int,Y5: nat] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc1007865297704999105nt_nat @ ( collec213857154873943460nt_int @ P2 )
% 3.29/3.50          @ ^ [X4: product_prod_int_int] : ( collect_nat @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1730_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: product_prod_int_int > $o,Q2: product_prod_int_int > product_prod_int_int > $o] :
% 3.29/3.50        ( ( collec7447955092554649554nt_int
% 3.29/3.50          @ ( produc1676490119946744748_int_o
% 3.29/3.50            @ ^ [X4: product_prod_int_int,Y5: product_prod_int_int] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc245848125267896712nt_int @ ( collec213857154873943460nt_int @ P2 )
% 3.29/3.50          @ ^ [X4: product_prod_int_int] : ( collec213857154873943460nt_int @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1731_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: nat > $o,Q2: nat > nat > $o] :
% 3.29/3.50        ( ( collec3392354462482085612at_nat
% 3.29/3.50          @ ( produc6081775807080527818_nat_o
% 3.29/3.50            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc457027306803732586at_nat @ ( collect_nat @ P2 )
% 3.29/3.50          @ ^ [X4: nat] : ( collect_nat @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1732_Collect__case__prod__Sigma,axiom,
% 3.29/3.50      ! [P2: int > $o,Q2: int > int > $o] :
% 3.29/3.50        ( ( collec213857154873943460nt_int
% 3.29/3.50          @ ( produc4947309494688390418_int_o
% 3.29/3.50            @ ^ [X4: int,Y5: int] :
% 3.29/3.50                ( ( P2 @ X4 )
% 3.29/3.50                & ( Q2 @ X4 @ Y5 ) ) ) )
% 3.29/3.50        = ( produc1453890548195736866nt_int @ ( collect_int @ P2 )
% 3.29/3.50          @ ^ [X4: int] : ( collect_int @ ( Q2 @ X4 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Collect_case_prod_Sigma
% 3.29/3.50  thf(fact_1733_Sigma__mono,axiom,
% 3.29/3.50      ! [A4: set_nat,C3: set_nat,B5: nat > set_nat,D: nat > set_nat] :
% 3.29/3.50        ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.50       => ( ! [X: nat] :
% 3.29/3.50              ( ( member_nat @ X @ A4 )
% 3.29/3.50             => ( ord_less_eq_set_nat @ ( B5 @ X ) @ ( D @ X ) ) )
% 3.29/3.50         => ( ord_le3146513528884898305at_nat @ ( produc457027306803732586at_nat @ A4 @ B5 ) @ ( produc457027306803732586at_nat @ C3 @ D ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Sigma_mono
% 3.29/3.50  thf(fact_1734_Times__subset__cancel2,axiom,
% 3.29/3.50      ! [X2: nat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( member_nat @ X2 @ C3 )
% 3.29/3.50       => ( ( ord_le3146513528884898305at_nat
% 3.29/3.50            @ ( produc457027306803732586at_nat @ A4
% 3.29/3.50              @ ^ [Uu: nat] : C3 )
% 3.29/3.50            @ ( produc457027306803732586at_nat @ B5
% 3.29/3.50              @ ^ [Uu: nat] : C3 ) )
% 3.29/3.50          = ( ord_less_eq_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Times_subset_cancel2
% 3.29/3.50  thf(fact_1735_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_o_o,A4: set_o,B5: set_o] :
% 3.29/3.50        ( ( member7466972457876170832od_o_o @ X2
% 3.29/3.50          @ ( product_Sigma_o_o @ A4
% 3.29/3.50            @ ^ [Uu: $o] : B5 ) )
% 3.29/3.50        = ( ( member_o @ ( product_fst_o_o @ X2 ) @ A4 )
% 3.29/3.50          & ( member_o @ ( product_snd_o_o @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1736_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_o_nat,A4: set_o,B5: set_nat] :
% 3.29/3.50        ( ( member2802428098988154798_o_nat @ X2
% 3.29/3.50          @ ( product_Sigma_o_nat @ A4
% 3.29/3.50            @ ^ [Uu: $o] : B5 ) )
% 3.29/3.50        = ( ( member_o @ ( product_fst_o_nat @ X2 ) @ A4 )
% 3.29/3.50          & ( member_nat @ ( product_snd_o_nat @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1737_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_o_int,A4: set_o,B5: set_int] :
% 3.29/3.50        ( ( member7847949116333733898_o_int @ X2
% 3.29/3.50          @ ( product_Sigma_o_int @ A4
% 3.29/3.50            @ ^ [Uu: $o] : B5 ) )
% 3.29/3.50        = ( ( member_o @ ( product_fst_o_int @ X2 ) @ A4 )
% 3.29/3.50          & ( member_int @ ( product_snd_o_int @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1738_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_nat_o,A4: set_nat,B5: set_o] :
% 3.29/3.50        ( ( member6310962623043647828_nat_o @ X2
% 3.29/3.50          @ ( product_Sigma_nat_o @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( ( member_nat @ ( product_fst_nat_o @ X2 ) @ A4 )
% 3.29/3.50          & ( member_o @ ( product_snd_nat_o @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1739_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_nat_int,A4: set_nat,B5: set_int] :
% 3.29/3.50        ( ( member4262671552274231302at_int @ X2
% 3.29/3.50          @ ( produc454536836294682310at_int @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( ( member_nat @ ( product_fst_nat_int @ X2 ) @ A4 )
% 3.29/3.50          & ( member_int @ ( product_snd_nat_int @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1740_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_int_o,A4: set_int,B5: set_o] :
% 3.29/3.50        ( ( member4489920277610959864_int_o @ X2
% 3.29/3.50          @ ( product_Sigma_int_o @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( ( member_int @ ( product_fst_int_o @ X2 ) @ A4 )
% 3.29/3.50          & ( member_o @ ( product_snd_int_o @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1741_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_int_nat,A4: set_int,B5: set_nat] :
% 3.29/3.50        ( ( member216504246829706758nt_nat @ X2
% 3.29/3.50          @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( ( member_int @ ( product_fst_int_nat @ X2 ) @ A4 )
% 3.29/3.50          & ( member_nat @ ( product_snd_int_nat @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1742_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_int_int,A4: set_int,B5: set_int] :
% 3.29/3.50        ( ( member5262025264175285858nt_int @ X2
% 3.29/3.50          @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( ( member_int @ ( product_fst_int_int @ X2 ) @ A4 )
% 3.29/3.50          & ( member_int @ ( product_snd_int_int @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1743_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: product_prod_nat_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( member8440522571783428010at_nat @ X2
% 3.29/3.50          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( ( member_nat @ ( product_fst_nat_nat @ X2 ) @ A4 )
% 3.29/3.50          & ( member_nat @ ( product_snd_nat_nat @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1744_mem__Times__iff,axiom,
% 3.29/3.50      ! [X2: produc652263959640188542_nat_o,A4: set_Pr1261947904930325089at_nat,B5: set_o] :
% 3.29/3.50        ( ( member2200362271989506215_nat_o @ X2
% 3.29/3.50          @ ( produc203973861852599583_nat_o @ A4
% 3.29/3.50            @ ^ [Uu: product_prod_nat_nat] : B5 ) )
% 3.29/3.50        = ( ( member8440522571783428010at_nat @ ( produc6435950281062462810_nat_o @ X2 ) @ A4 )
% 3.29/3.50          & ( member_o @ ( produc668916169454083228_nat_o @ X2 ) @ B5 ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % mem_Times_iff
% 3.29/3.50  thf(fact_1745_product__swap,axiom,
% 3.29/3.50      ! [A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( image_5168914502847457605at_nat @ product_swap_nat_nat
% 3.29/3.50          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( produc457027306803732586at_nat @ B5
% 3.29/3.50          @ ^ [Uu: nat] : A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % product_swap
% 3.29/3.50  thf(fact_1746_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: $o > $o > $o,Abs1: $o > $o,Rep1: $o > $o,T1: $o > $o > $o,R22: $o > $o > $o,Abs22: $o > nat,Rep22: nat > $o,T22: $o > nat > $o] :
% 3.29/3.50        ( ( quotient_o_o @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_o_nat @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_o_nat @ ( relcompp_o_o_o @ T1 @ ( relcompp_o_o_o @ R22 @ ( conversep_o_o @ T1 ) ) ) @ ( comp_o_nat_o @ Abs22 @ Abs1 ) @ ( comp_o_o_nat @ Rep1 @ Rep22 ) @ ( relcompp_o_o_nat @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1747_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: num > num > $o,Abs1: num > nat,Rep1: nat > num,T1: num > nat > $o,R22: nat > nat > $o,Abs22: nat > int,Rep22: int > nat,T22: nat > int > $o] :
% 3.29/3.50        ( ( quotient_num_nat @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_nat_int @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_num_int @ ( relcompp_num_nat_num @ T1 @ ( relcompp_nat_nat_num @ R22 @ ( conversep_num_nat @ T1 ) ) ) @ ( comp_nat_int_num @ Abs22 @ Abs1 ) @ ( comp_nat_num_int @ Rep1 @ Rep22 ) @ ( relcompp_num_nat_int @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1748_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: nat > nat > $o,Abs1: nat > int,Rep1: int > nat,T1: nat > int > $o,R22: int > int > $o,Abs22: int > int,Rep22: int > int,T22: int > int > $o] :
% 3.29/3.50        ( ( quotient_nat_int @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_int_int @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_nat_int @ ( relcompp_nat_int_nat @ T1 @ ( relcompp_int_int_nat @ R22 @ ( conversep_nat_int @ T1 ) ) ) @ ( comp_int_int_nat @ Abs22 @ Abs1 ) @ ( comp_int_nat_int @ Rep1 @ Rep22 ) @ ( relcompp_nat_int_int @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1749_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: nat > nat > $o,Abs1: nat > $o,Rep1: $o > nat,T1: nat > $o > $o,R22: $o > $o > $o,Abs22: $o > $o,Rep22: $o > $o,T22: $o > $o > $o] :
% 3.29/3.50        ( ( quotient_nat_o @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_o_o @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_nat_o @ ( relcompp_nat_o_nat @ T1 @ ( relcompp_o_o_nat @ R22 @ ( conversep_nat_o @ T1 ) ) ) @ ( comp_o_o_nat @ Abs22 @ Abs1 ) @ ( comp_o_nat_o @ Rep1 @ Rep22 ) @ ( relcompp_nat_o_o @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1750_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: int > int > $o,Abs1: int > nat,Rep1: nat > int,T1: int > nat > $o,R22: nat > nat > $o,Abs22: nat > num,Rep22: num > nat,T22: nat > num > $o] :
% 3.29/3.50        ( ( quotient_int_nat @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_nat_num @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_int_num @ ( relcompp_int_nat_int @ T1 @ ( relcompp_nat_nat_int @ R22 @ ( conversep_int_nat @ T1 ) ) ) @ ( comp_nat_num_int @ Abs22 @ Abs1 ) @ ( comp_nat_int_num @ Rep1 @ Rep22 ) @ ( relcompp_int_nat_num @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1751_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: nat > nat > $o,Abs1: nat > nat,Rep1: nat > nat,T1: nat > nat > $o,R22: nat > nat > $o,Abs22: nat > nat,Rep22: nat > nat,T22: nat > nat > $o] :
% 3.29/3.50        ( ( quotient_nat_nat @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_nat_nat @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_nat_nat @ ( relcompp_nat_nat_nat @ T1 @ ( relcompp_nat_nat_nat @ R22 @ ( conversep_nat_nat @ T1 ) ) ) @ ( comp_nat_nat_nat @ Abs22 @ Abs1 ) @ ( comp_nat_nat_nat @ Rep1 @ Rep22 ) @ ( relcompp_nat_nat_nat @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1752_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: int > int > $o,Abs1: int > int,Rep1: int > int,T1: int > int > $o,R22: int > int > $o,Abs22: int > nat,Rep22: nat > int,T22: int > nat > $o] :
% 3.29/3.50        ( ( quotient_int_int @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotient_int_nat @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotient_int_nat @ ( relcompp_int_int_int @ T1 @ ( relcompp_int_int_int @ R22 @ ( conversep_int_int @ T1 ) ) ) @ ( comp_int_nat_int @ Abs22 @ Abs1 ) @ ( comp_int_int_nat @ Rep1 @ Rep22 ) @ ( relcompp_int_int_nat @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1753_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: int > int > $o,Abs1: int > int,Rep1: int > int,T1: int > int > $o,R22: int > int > $o,Abs22: int > code_integer,Rep22: code_integer > int,T22: int > code_integer > $o] :
% 3.29/3.50        ( ( quotient_int_int @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotie2291698863146621601nteger @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotie2291698863146621601nteger @ ( relcompp_int_int_int @ T1 @ ( relcompp_int_int_int @ R22 @ ( conversep_int_int @ T1 ) ) ) @ ( comp_i1585864551200866970er_int @ Abs22 @ Abs1 ) @ ( comp_i2224564030725804698nteger @ Rep1 @ Rep22 ) @ ( relcom967497705283160040nteger @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1754_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: product_prod_nat_nat > product_prod_nat_nat > $o,Abs1: product_prod_nat_nat > product_prod_nat_nat,Rep1: product_prod_nat_nat > product_prod_nat_nat,T1: product_prod_nat_nat > product_prod_nat_nat > $o,R22: product_prod_nat_nat > product_prod_nat_nat > $o,Abs22: product_prod_nat_nat > int,Rep22: int > product_prod_nat_nat,T22: product_prod_nat_nat > int > $o] :
% 3.29/3.50        ( ( quotie4166942682936818134at_nat @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotie1194848508323700631at_int @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotie1194848508323700631at_int @ ( relcom282571730187242960at_nat @ T1 @ ( relcom282571730187242960at_nat @ R22 @ ( conver6965824823119931701at_nat @ T1 ) ) ) @ ( comp_P4605287290794827253at_nat @ Abs22 @ Abs1 ) @ ( comp_P7428279379633703887at_int @ Rep1 @ Rep22 ) @ ( relcom8911704206367525917at_int @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1755_Quotient__compose,axiom,
% 3.29/3.50      ! [R1: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o,Abs1: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > code_integer,Rep1: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,T1: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o,R22: ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o,Abs22: ( code_integer > code_integer ) > code_integer,Rep22: code_integer > code_integer > code_integer,T22: ( code_integer > code_integer ) > code_integer > $o] :
% 3.29/3.50        ( ( quotie8207154290130328982nteger @ R1 @ Abs1 @ Rep1 @ T1 )
% 3.29/3.50       => ( ( quotie9062115205763428814nteger @ R22 @ Abs22 @ Rep22 @ T22 )
% 3.29/3.50         => ( quotie8803226531959296410nteger @ ( relcom458776940982682326nteger @ T1 @ ( relcom1820845089908643850nteger @ R22 @ ( conver3229387634306789365nteger @ T1 ) ) ) @ ( comp_C7826480081638475456nteger @ Abs22 @ Abs1 ) @ ( comp_C8797469213163452608nteger @ Rep1 @ Rep22 ) @ ( relcom4829277440228594702nteger @ T1 @ T22 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % Quotient_compose
% 3.29/3.50  thf(fact_1756_swap__product,axiom,
% 3.29/3.50      ! [A4: set_se5479201105039950375at_nat,B5: set_se5479201105039950375at_nat] :
% 3.29/3.50        ( ( image_3313167189156628421at_nat
% 3.29/3.50          @ ( produc5456455677105495163at_nat
% 3.29/3.50            @ ^ [I2: set_Pr4329608150637261639at_nat,J: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ J @ I2 ) )
% 3.29/3.50          @ ( produc6258361011560675592at_nat @ A4
% 3.29/3.50            @ ^ [Uu: set_Pr4329608150637261639at_nat] : B5 ) )
% 3.29/3.50        = ( produc6258361011560675592at_nat @ B5
% 3.29/3.50          @ ^ [Uu: set_Pr4329608150637261639at_nat] : A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % swap_product
% 3.29/3.50  thf(fact_1757_swap__product,axiom,
% 3.29/3.50      ! [A4: set_se7855581050983116737at_nat,B5: set_se7855581050983116737at_nat] :
% 3.29/3.50        ( ( image_960689587819713477at_nat
% 3.29/3.50          @ ( produc7548845685434208379at_nat
% 3.29/3.50            @ ^ [I2: set_Pr1261947904930325089at_nat,J: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ J @ I2 ) )
% 3.29/3.50          @ ( produc7726050920695093128at_nat @ A4
% 3.29/3.50            @ ^ [Uu: set_Pr1261947904930325089at_nat] : B5 ) )
% 3.29/3.50        = ( produc7726050920695093128at_nat @ B5
% 3.29/3.50          @ ^ [Uu: set_Pr1261947904930325089at_nat] : A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % swap_product
% 3.29/3.50  thf(fact_1758_swap__product,axiom,
% 3.29/3.50      ! [A4: set_num,B5: set_nat] :
% 3.29/3.50        ( ( image_7762062833379733445at_num
% 3.29/3.50          @ ( produc5219324331026901427at_num
% 3.29/3.50            @ ^ [I2: num,J: nat] : ( product_Pair_nat_num @ J @ I2 ) )
% 3.29/3.50          @ ( produc7810729746965977780um_nat @ A4
% 3.29/3.50            @ ^ [Uu: num] : B5 ) )
% 3.29/3.50        = ( produc6237731129814287028at_num @ B5
% 3.29/3.50          @ ^ [Uu: nat] : A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % swap_product
% 3.29/3.50  thf(fact_1759_swap__product,axiom,
% 3.29/3.50      ! [A4: set_nat,B5: set_nat] :
% 3.29/3.50        ( ( image_5168914502847457605at_nat
% 3.29/3.50          @ ( produc2626176000494625587at_nat
% 3.29/3.50            @ ^ [I2: nat,J: nat] : ( product_Pair_nat_nat @ J @ I2 ) )
% 3.29/3.50          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.50            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50        = ( produc457027306803732586at_nat @ B5
% 3.29/3.50          @ ^ [Uu: nat] : A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % swap_product
% 3.29/3.50  thf(fact_1760_swap__product,axiom,
% 3.29/3.50      ! [A4: set_int,B5: set_int] :
% 3.29/3.50        ( ( image_2653370878348428101nt_int
% 3.29/3.50          @ ( produc4245557441103728435nt_int
% 3.29/3.50            @ ^ [I2: int,J: int] : ( product_Pair_int_int @ J @ I2 ) )
% 3.29/3.50          @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.50            @ ^ [Uu: int] : B5 ) )
% 3.29/3.50        = ( produc1453890548195736866nt_int @ B5
% 3.29/3.50          @ ^ [Uu: int] : A4 ) ) ).
% 3.29/3.50  
% 3.29/3.50  % swap_product
% 3.29/3.50  thf(fact_1761_map__prod__surj__on,axiom,
% 3.29/3.50      ! [F: nat > rat,A4: set_nat,A7: set_rat,G: int > nat,B5: set_int,B7: set_nat] :
% 3.29/3.50        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.50          = A7 )
% 3.29/3.50       => ( ( ( image_int_nat @ G @ B5 )
% 3.29/3.50            = B7 )
% 3.29/3.50         => ( ( image_3755276878268593137at_nat @ ( produc8749313216793205150nt_nat @ F @ G )
% 3.29/3.50              @ ( produc454536836294682310at_int @ A4
% 3.29/3.50                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50            = ( produc140472662868866674at_nat @ A7
% 3.29/3.50              @ ^ [Uu: rat] : B7 ) ) ) ) ).
% 3.29/3.50  
% 3.29/3.50  % map_prod_surj_on
% 3.29/3.50  thf(fact_1762_map__prod__surj__on,axiom,
% 3.29/3.50      ! [F: nat > rat,A4: set_nat,A7: set_rat,G: int > int,B5: set_int,B7: set_int] :
% 3.29/3.50        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.50          = A7 )
% 3.29/3.50       => ( ( ( image_int_int @ G @ B5 )
% 3.29/3.50            = B7 )
% 3.29/3.50         => ( ( image_8800797895614172237at_int @ ( produc8746822746284154874nt_int @ F @ G )
% 3.29/3.50              @ ( produc454536836294682310at_int @ A4
% 3.29/3.50                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.50            = ( produc137982192359816398at_int @ A7
% 3.29/3.51              @ ^ [Uu: rat] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1763_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: nat > nat,A4: set_nat,A7: set_nat,G: int > int,B5: set_int,B7: set_int] :
% 3.29/3.51        ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_int_int @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_9117352539549038149at_int @ ( produc7974749936722635250nt_int @ F @ G )
% 3.29/3.51              @ ( produc454536836294682310at_int @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = ( produc454536836294682310at_int @ A7
% 3.29/3.51              @ ^ [Uu: nat] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1764_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: nat > int,A4: set_nat,A7: set_int,G: int > nat,B5: set_int,B7: set_nat] :
% 3.29/3.51        ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_int_nat @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_5071185234104513605nt_nat @ ( produc8348893967468530162nt_nat @ F @ G )
% 3.29/3.51              @ ( produc454536836294682310at_int @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = ( produc1456381018704787142nt_nat @ A7
% 3.29/3.51              @ ^ [Uu: int] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1765_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: nat > int,A4: set_nat,A7: set_int,G: int > int,B5: set_int,B7: set_int] :
% 3.29/3.51        ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_int_int @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_893334214595316897nt_int @ ( produc8346403496959479886nt_int @ F @ G )
% 3.29/3.51              @ ( produc454536836294682310at_int @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = ( produc1453890548195736866nt_int @ A7
% 3.29/3.51              @ ^ [Uu: int] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1766_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: int > nat,A4: set_int,A7: set_nat,G: nat > rat,B5: set_nat,B7: set_rat] :
% 3.29/3.51        ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_nat_rat @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_3420722608207172081at_rat @ ( produc4032938703151184286at_rat @ F @ G )
% 3.29/3.51              @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.51                @ ^ [Uu: int] : B5 ) )
% 3.29/3.51            = ( produc9045269283572012658at_rat @ A7
% 3.29/3.51              @ ^ [Uu: nat] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1767_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: int > nat,A4: set_int,A7: set_nat,G: nat > int,B5: set_nat,B7: set_int] :
% 3.29/3.51        ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_nat_int @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_2751100147091372101at_int @ ( produc4665578292728629746at_int @ F @ G )
% 3.29/3.51              @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.51                @ ^ [Uu: int] : B5 ) )
% 3.29/3.51            = ( produc454536836294682310at_int @ A7
% 3.29/3.51              @ ^ [Uu: nat] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1768_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: int > nat,A4: set_int,A7: set_nat,G: int > int,B5: set_int,B7: set_int] :
% 3.29/3.51        ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_int_int @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_1654017166447373545at_int @ ( produc5664932004629684302nt_int @ F @ G )
% 3.29/3.51              @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.51                @ ^ [Uu: int] : B5 ) )
% 3.29/3.51            = ( produc454536836294682310at_int @ A7
% 3.29/3.51              @ ^ [Uu: nat] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1769_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: int > int,A4: set_int,A7: set_int,G: nat > rat,B5: set_nat,B7: set_rat] :
% 3.29/3.51        ( ( ( image_int_int @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_nat_rat @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_4420076320108226637nt_rat @ ( produc4404592263388028922at_rat @ F @ G )
% 3.29/3.51              @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.51                @ ^ [Uu: int] : B5 ) )
% 3.29/3.51            = ( produc821250958618291406nt_rat @ A7
% 3.29/3.51              @ ^ [Uu: int] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1770_map__prod__surj__on,axiom,
% 3.29/3.51      ! [F: int > int,A4: set_int,A7: set_int,G: nat > nat,B5: set_nat,B7: set_nat] :
% 3.29/3.51        ( ( ( image_int_int @ F @ A4 )
% 3.29/3.51          = A7 )
% 3.29/3.51       => ( ( ( image_nat_nat @ G @ B5 )
% 3.29/3.51            = B7 )
% 3.29/3.51         => ( ( image_7928304878501623365nt_nat @ ( produc5039722323474524658at_nat @ F @ G )
% 3.29/3.51              @ ( produc1456381018704787142nt_nat @ A4
% 3.29/3.51                @ ^ [Uu: int] : B5 ) )
% 3.29/3.51            = ( produc1456381018704787142nt_nat @ A7
% 3.29/3.51              @ ^ [Uu: int] : B7 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % map_prod_surj_on
% 3.29/3.51  thf(fact_1771_left__total__OO,axiom,
% 3.29/3.51      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o] :
% 3.29/3.51        ( ( left_t5646938096895998950at_nat @ R3 )
% 3.29/3.51       => ( ( left_t1861001511420785031at_int @ S5 )
% 3.29/3.51         => ( left_t1861001511420785031at_int @ ( relcom8911704206367525917at_int @ R3 @ S5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % left_total_OO
% 3.29/3.51  thf(fact_1772_left__total__OO,axiom,
% 3.29/3.51      ! [R3: int > int > $o,S5: int > code_integer > $o] :
% 3.29/3.51        ( ( left_total_int_int @ R3 )
% 3.29/3.51       => ( ( left_t2374113004080657585nteger @ S5 )
% 3.29/3.51         => ( left_t2374113004080657585nteger @ ( relcom967497705283160040nteger @ R3 @ S5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % left_total_OO
% 3.29/3.51  thf(fact_1773_left__unique__OO,axiom,
% 3.29/3.51      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o] :
% 3.29/3.51        ( ( left_u7296345956935681743at_nat @ R3 )
% 3.29/3.51       => ( ( left_u4005249686606446046at_int @ S5 )
% 3.29/3.51         => ( left_u4005249686606446046at_int @ ( relcom8911704206367525917at_int @ R3 @ S5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % left_unique_OO
% 3.29/3.51  thf(fact_1774_left__unique__OO,axiom,
% 3.29/3.51      ! [R3: int > int > $o,S5: int > code_integer > $o] :
% 3.29/3.51        ( ( left_unique_int_int @ R3 )
% 3.29/3.51       => ( ( left_u6795595883297946906nteger @ S5 )
% 3.29/3.51         => ( left_u6795595883297946906nteger @ ( relcom967497705283160040nteger @ R3 @ S5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % left_unique_OO
% 3.29/3.51  thf(fact_1775_Product__Type_Oproduct__def,axiom,
% 3.29/3.51      ( produc929334515565554804at_nat
% 3.29/3.51      = ( ^ [A6: set_nat,B6: set_nat] :
% 3.29/3.51            ( produc457027306803732586at_nat @ A6
% 3.29/3.51            @ ^ [Uu: nat] : B6 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Product_Type.product_def
% 3.29/3.51  thf(fact_1776_member__product,axiom,
% 3.29/3.51      ! [X2: produc3843707927480180839at_nat,A4: set_se7855581050983116737at_nat,B5: set_se7855581050983116737at_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ X2 @ ( produc3241716407206042770at_nat @ A4 @ B5 ) )
% 3.29/3.51        = ( member8757157785044589968at_nat @ X2
% 3.29/3.51          @ ( produc7726050920695093128at_nat @ A4
% 3.29/3.51            @ ^ [Uu: set_Pr1261947904930325089at_nat] : B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % member_product
% 3.29/3.51  thf(fact_1777_member__product,axiom,
% 3.29/3.51      ! [X2: product_prod_nat_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ X2 @ ( produc929334515565554804at_nat @ A4 @ B5 ) )
% 3.29/3.51        = ( member8440522571783428010at_nat @ X2
% 3.29/3.51          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % member_product
% 3.29/3.51  thf(fact_1778_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_Product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_262127665112854123t_unit @ produc6786084904866402309t_unit
% 3.29/3.51              @ ( produc6121607364029222536t_unit @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_262127665112854123t_unit @ produc6786084904866402309t_unit
% 3.29/3.51              @ ( produc6121607364029222536t_unit @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1779_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_o] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_1801747192096393899it_o_o @ produc7461459235754980752unit_o
% 3.29/3.51              @ ( produc4996980317674386579unit_o @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_1801747192096393899it_o_o @ produc7461459235754980752unit_o
% 3.29/3.51              @ ( produc4996980317674386579unit_o @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1780_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_6725568594985674851at_nat @ produc996414825743149016it_nat
% 3.29/3.51              @ ( produc6875377002296012693it_nat @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_6725568594985674851at_nat @ produc996414825743149016it_nat
% 3.29/3.51              @ ( produc6875377002296012693it_nat @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1781_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_Product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_4419268941131634678t_unit @ produc2875488738488844090t_unit
% 3.29/3.51              @ ( produc411009820408249917t_unit @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_4419268941131634678t_unit @ produc2875488738488844090t_unit
% 3.29/3.51              @ ( produc411009820408249917t_unit @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1782_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_7896445794123959606_o_o_o @ product_snd_o_o
% 3.29/3.51              @ ( product_Sigma_o_o @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_7896445794123959606_o_o_o @ product_snd_o_o
% 3.29/3.51              @ ( product_Sigma_o_o @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1783_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_4888532181312399726at_nat @ product_snd_o_nat
% 3.29/3.51              @ ( product_Sigma_o_nat @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_4888532181312399726at_nat @ product_snd_o_nat
% 3.29/3.51              @ ( product_Sigma_o_nat @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1784_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_Product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_5511522805742971924t_unit @ produc8850949007409916470t_unit
% 3.29/3.51              @ ( produc5506539147108004339t_unit @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_5511522805742971924t_unit @ produc8850949007409916470t_unit
% 3.29/3.51              @ ( produc5506539147108004339t_unit @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1785_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_o] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_7478392465989118804at_o_o @ product_snd_nat_o
% 3.29/3.51              @ ( product_Sigma_nat_o @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_7478392465989118804at_o_o @ product_snd_nat_o
% 3.29/3.51              @ ( product_Sigma_nat_o @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1786_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_2486076414777270412at_nat @ product_snd_nat_nat
% 3.29/3.51              @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_2486076414777270412at_nat @ product_snd_nat_nat
% 3.29/3.51              @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1787_snd__image__times,axiom,
% 3.29/3.51      ! [A4: set_ref_a,B5: set_he8644174446132254637t_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_ref_a )
% 3.29/3.51         => ( ( image_17660834435998945t_unit @ produc1126150082675451753t_unit
% 3.29/3.51              @ ( produc3946373962484743846t_unit @ A4
% 3.29/3.51                @ ^ [Uu: ref_a] : B5 ) )
% 3.29/3.51            = bot_bo3686245532977126937t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_ref_a )
% 3.29/3.51         => ( ( image_17660834435998945t_unit @ produc1126150082675451753t_unit
% 3.29/3.51              @ ( produc3946373962484743846t_unit @ A4
% 3.29/3.51                @ ^ [Uu: ref_a] : B5 ) )
% 3.29/3.51            = B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_times
% 3.29/3.51  thf(fact_1788_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_Product_unit,A4: set_Product_unit] :
% 3.29/3.51        ( ( ( B5 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_262127665112854123t_unit @ produc6963936691090040003t_unit
% 3.29/3.51              @ ( produc6121607364029222536t_unit @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_262127665112854123t_unit @ produc6963936691090040003t_unit
% 3.29/3.51              @ ( produc6121607364029222536t_unit @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1789_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_Product_unit,A4: set_o] :
% 3.29/3.51        ( ( ( B5 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_8742399529945250561unit_o @ produc5219655352205527288t_unit
% 3.29/3.51              @ ( produc411009820408249917t_unit @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_8742399529945250561unit_o @ produc5219655352205527288t_unit
% 3.29/3.51              @ ( produc411009820408249917t_unit @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1790_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_Product_unit,A4: set_nat] :
% 3.29/3.51        ( ( ( B5 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_3884712837920099081it_nat @ produc3800628931346975736t_unit
% 3.29/3.51              @ ( produc5506539147108004339t_unit @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_3884712837920099081it_nat @ produc3800628931346975736t_unit
% 3.29/3.51              @ ( produc5506539147108004339t_unit @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1791_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_o,A4: set_Product_unit] :
% 3.29/3.51        ( ( ( B5 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_4246157487713968288t_unit @ produc582253812616888142unit_o
% 3.29/3.51              @ ( produc4996980317674386579unit_o @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( B5 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_4246157487713968288t_unit @ produc582253812616888142unit_o
% 3.29/3.51              @ ( produc4996980317674386579unit_o @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1792_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_o,A4: set_o] :
% 3.29/3.51        ( ( ( B5 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_7896445794123959606_o_o_o @ product_fst_o_o
% 3.29/3.51              @ ( product_Sigma_o_o @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( B5 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_7896445794123959606_o_o_o @ product_fst_o_o
% 3.29/3.51              @ ( product_Sigma_o_o @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1793_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_o,A4: set_nat] :
% 3.29/3.51        ( ( ( B5 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_8629803608462650132_o_nat @ product_fst_nat_o
% 3.29/3.51              @ ( product_Sigma_nat_o @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( B5 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_8629803608462650132_o_nat @ product_fst_nat_o
% 3.29/3.51              @ ( product_Sigma_nat_o @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1794_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_nat,A4: set_Product_unit] :
% 3.29/3.51        ( ( ( B5 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_7474191388529947450t_unit @ produc5169466786534984090it_nat
% 3.29/3.51              @ ( produc6875377002296012693it_nat @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( B5 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_7474191388529947450t_unit @ produc5169466786534984090it_nat
% 3.29/3.51              @ ( produc6875377002296012693it_nat @ A4
% 3.29/3.51                @ ^ [Uu: product_unit] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1795_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_nat,A4: set_o] :
% 3.29/3.51        ( ( ( B5 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_8105710389281276538_nat_o @ product_fst_o_nat
% 3.29/3.51              @ ( product_Sigma_o_nat @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( B5 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_8105710389281276538_nat_o @ product_fst_o_nat
% 3.29/3.51              @ ( product_Sigma_o_nat @ A4
% 3.29/3.51                @ ^ [Uu: $o] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1796_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_nat,A4: set_nat] :
% 3.29/3.51        ( ( ( B5 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_2486076414777270412at_nat @ product_fst_nat_nat
% 3.29/3.51              @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( B5 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_2486076414777270412at_nat @ product_fst_nat_nat
% 3.29/3.51              @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51                @ ^ [Uu: nat] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1797_fst__image__times,axiom,
% 3.29/3.51      ! [B5: set_he8644174446132254637t_unit,A4: set_ref_a] :
% 3.29/3.51        ( ( ( B5 = bot_bo3686245532977126937t_unit )
% 3.29/3.51         => ( ( image_7136766188234240905_ref_a @ produc473321116828791851t_unit
% 3.29/3.51              @ ( produc3946373962484743846t_unit @ A4
% 3.29/3.51                @ ^ [Uu: ref_a] : B5 ) )
% 3.29/3.51            = bot_bot_set_ref_a ) )
% 3.29/3.51        & ( ( B5 != bot_bo3686245532977126937t_unit )
% 3.29/3.51         => ( ( image_7136766188234240905_ref_a @ produc473321116828791851t_unit
% 3.29/3.51              @ ( produc3946373962484743846t_unit @ A4
% 3.29/3.51                @ ^ [Uu: ref_a] : B5 ) )
% 3.29/3.51            = A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_times
% 3.29/3.51  thf(fact_1798_image__is__empty,axiom,
% 3.29/3.51      ! [F: int > int,A4: set_int] :
% 3.29/3.51        ( ( ( image_int_int @ F @ A4 )
% 3.29/3.51          = bot_bot_set_int )
% 3.29/3.51        = ( A4 = bot_bot_set_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1799_image__is__empty,axiom,
% 3.29/3.51      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.51          = bot_bot_set_rat )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1800_image__is__empty,axiom,
% 3.29/3.51      ! [F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.51          = bot_bot_set_int )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1801_image__is__empty,axiom,
% 3.29/3.51      ! [F: product_unit > product_unit,A4: set_Product_unit] :
% 3.29/3.51        ( ( ( image_405062704495631173t_unit @ F @ A4 )
% 3.29/3.51          = bot_bo3957492148770167129t_unit )
% 3.29/3.51        = ( A4 = bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1802_image__is__empty,axiom,
% 3.29/3.51      ! [F: $o > product_unit,A4: set_o] :
% 3.29/3.51        ( ( ( image_o_Product_unit @ F @ A4 )
% 3.29/3.51          = bot_bo3957492148770167129t_unit )
% 3.29/3.51        = ( A4 = bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1803_image__is__empty,axiom,
% 3.29/3.51      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.51        ( ( ( image_8730104196221521654t_unit @ F @ A4 )
% 3.29/3.51          = bot_bo3957492148770167129t_unit )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1804_image__is__empty,axiom,
% 3.29/3.51      ! [F: product_unit > $o,A4: set_Product_unit] :
% 3.29/3.51        ( ( ( image_Product_unit_o @ F @ A4 )
% 3.29/3.51          = bot_bot_set_o )
% 3.29/3.51        = ( A4 = bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1805_image__is__empty,axiom,
% 3.29/3.51      ! [F: $o > $o,A4: set_o] :
% 3.29/3.51        ( ( ( image_o_o @ F @ A4 )
% 3.29/3.51          = bot_bot_set_o )
% 3.29/3.51        = ( A4 = bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1806_image__is__empty,axiom,
% 3.29/3.51      ! [F: nat > $o,A4: set_nat] :
% 3.29/3.51        ( ( ( image_nat_o @ F @ A4 )
% 3.29/3.51          = bot_bot_set_o )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1807_image__is__empty,axiom,
% 3.29/3.51      ! [F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.51          = bot_bot_set_nat )
% 3.29/3.51        = ( A4 = bot_bot_set_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_is_empty
% 3.29/3.51  thf(fact_1808_empty__is__image,axiom,
% 3.29/3.51      ! [F: int > int,A4: set_int] :
% 3.29/3.51        ( ( bot_bot_set_int
% 3.29/3.51          = ( image_int_int @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1809_empty__is__image,axiom,
% 3.29/3.51      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( bot_bot_set_rat
% 3.29/3.51          = ( image_nat_rat @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1810_empty__is__image,axiom,
% 3.29/3.51      ! [F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( bot_bot_set_int
% 3.29/3.51          = ( image_nat_int @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1811_empty__is__image,axiom,
% 3.29/3.51      ! [F: product_unit > product_unit,A4: set_Product_unit] :
% 3.29/3.51        ( ( bot_bo3957492148770167129t_unit
% 3.29/3.51          = ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1812_empty__is__image,axiom,
% 3.29/3.51      ! [F: $o > product_unit,A4: set_o] :
% 3.29/3.51        ( ( bot_bo3957492148770167129t_unit
% 3.29/3.51          = ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1813_empty__is__image,axiom,
% 3.29/3.51      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.51        ( ( bot_bo3957492148770167129t_unit
% 3.29/3.51          = ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1814_empty__is__image,axiom,
% 3.29/3.51      ! [F: product_unit > $o,A4: set_Product_unit] :
% 3.29/3.51        ( ( bot_bot_set_o
% 3.29/3.51          = ( image_Product_unit_o @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1815_empty__is__image,axiom,
% 3.29/3.51      ! [F: $o > $o,A4: set_o] :
% 3.29/3.51        ( ( bot_bot_set_o
% 3.29/3.51          = ( image_o_o @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1816_empty__is__image,axiom,
% 3.29/3.51      ! [F: nat > $o,A4: set_nat] :
% 3.29/3.51        ( ( bot_bot_set_o
% 3.29/3.51          = ( image_nat_o @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1817_empty__is__image,axiom,
% 3.29/3.51      ! [F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( bot_bot_set_nat
% 3.29/3.51          = ( image_int_nat @ F @ A4 ) )
% 3.29/3.51        = ( A4 = bot_bot_set_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % empty_is_image
% 3.29/3.51  thf(fact_1818_image__empty,axiom,
% 3.29/3.51      ! [F: int > int] :
% 3.29/3.51        ( ( image_int_int @ F @ bot_bot_set_int )
% 3.29/3.51        = bot_bot_set_int ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1819_image__empty,axiom,
% 3.29/3.51      ! [F: int > nat] :
% 3.29/3.51        ( ( image_int_nat @ F @ bot_bot_set_int )
% 3.29/3.51        = bot_bot_set_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1820_image__empty,axiom,
% 3.29/3.51      ! [F: product_unit > product_unit] :
% 3.29/3.51        ( ( image_405062704495631173t_unit @ F @ bot_bo3957492148770167129t_unit )
% 3.29/3.51        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1821_image__empty,axiom,
% 3.29/3.51      ! [F: product_unit > $o] :
% 3.29/3.51        ( ( image_Product_unit_o @ F @ bot_bo3957492148770167129t_unit )
% 3.29/3.51        = bot_bot_set_o ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1822_image__empty,axiom,
% 3.29/3.51      ! [F: product_unit > nat] :
% 3.29/3.51        ( ( image_875570014554754200it_nat @ F @ bot_bo3957492148770167129t_unit )
% 3.29/3.51        = bot_bot_set_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1823_image__empty,axiom,
% 3.29/3.51      ! [F: $o > product_unit] :
% 3.29/3.51        ( ( image_o_Product_unit @ F @ bot_bot_set_o )
% 3.29/3.51        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1824_image__empty,axiom,
% 3.29/3.51      ! [F: $o > $o] :
% 3.29/3.51        ( ( image_o_o @ F @ bot_bot_set_o )
% 3.29/3.51        = bot_bot_set_o ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1825_image__empty,axiom,
% 3.29/3.51      ! [F: $o > nat] :
% 3.29/3.51        ( ( image_o_nat @ F @ bot_bot_set_o )
% 3.29/3.51        = bot_bot_set_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1826_image__empty,axiom,
% 3.29/3.51      ! [F: nat > rat] :
% 3.29/3.51        ( ( image_nat_rat @ F @ bot_bot_set_nat )
% 3.29/3.51        = bot_bot_set_rat ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1827_image__empty,axiom,
% 3.29/3.51      ! [F: nat > int] :
% 3.29/3.51        ( ( image_nat_int @ F @ bot_bot_set_nat )
% 3.29/3.51        = bot_bot_set_int ) ).
% 3.29/3.51  
% 3.29/3.51  % image_empty
% 3.29/3.51  thf(fact_1828_Sigma__empty1,axiom,
% 3.29/3.51      ! [B5: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.51        ( ( produc7726050920695093128at_nat @ bot_bo3083307316010499117at_nat @ B5 )
% 3.29/3.51        = bot_bo228742789529271731at_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_empty1
% 3.29/3.51  thf(fact_1829_Sigma__empty1,axiom,
% 3.29/3.51      ! [B5: nat > set_nat] :
% 3.29/3.51        ( ( produc457027306803732586at_nat @ bot_bot_set_nat @ B5 )
% 3.29/3.51        = bot_bo2099793752762293965at_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_empty1
% 3.29/3.51  thf(fact_1830_Sigma__empty2,axiom,
% 3.29/3.51      ! [A4: set_se7855581050983116737at_nat] :
% 3.29/3.51        ( ( produc7726050920695093128at_nat @ A4
% 3.29/3.51          @ ^ [Uu: set_Pr1261947904930325089at_nat] : bot_bo3083307316010499117at_nat )
% 3.29/3.51        = bot_bo228742789529271731at_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_empty2
% 3.29/3.51  thf(fact_1831_Sigma__empty2,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ( produc457027306803732586at_nat @ A4
% 3.29/3.51          @ ^ [Uu: nat] : bot_bot_set_nat )
% 3.29/3.51        = bot_bo2099793752762293965at_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_empty2
% 3.29/3.51  thf(fact_1832_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_Product_unit] :
% 3.29/3.51        ( ( ( produc6121607364029222536t_unit @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = bot_bo1654022762305692595t_unit )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( B5 = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1833_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_o] :
% 3.29/3.51        ( ( ( produc4996980317674386579unit_o @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = bot_bo3195362268743713342unit_o )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( B5 = bot_bot_set_o ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1834_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_nat] :
% 3.29/3.51        ( ( ( produc6875377002296012693it_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = bot_bo2472676621365177558it_nat )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( B5 = bot_bot_set_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1835_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_Product_unit] :
% 3.29/3.51        ( ( ( produc411009820408249917t_unit @ A4
% 3.29/3.51            @ ^ [Uu: $o] : B5 )
% 3.29/3.51          = bot_bo4402188677660116584t_unit )
% 3.29/3.51        = ( ( A4 = bot_bot_set_o )
% 3.29/3.51          | ( B5 = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1836_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o] :
% 3.29/3.51        ( ( ( product_Sigma_o_o @ A4
% 3.29/3.51            @ ^ [Uu: $o] : B5 )
% 3.29/3.51          = bot_bo7073875226086086771od_o_o )
% 3.29/3.51        = ( ( A4 = bot_bot_set_o )
% 3.29/3.51          | ( B5 = bot_bot_set_o ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1837_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_nat] :
% 3.29/3.51        ( ( ( product_Sigma_o_nat @ A4
% 3.29/3.51            @ ^ [Uu: $o] : B5 )
% 3.29/3.51          = bot_bo66526543525301729_o_nat )
% 3.29/3.51        = ( ( A4 = bot_bot_set_o )
% 3.29/3.51          | ( B5 = bot_bot_set_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1838_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_Product_unit] :
% 3.29/3.51        ( ( ( produc5506539147108004339t_unit @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 )
% 3.29/3.51          = bot_bo5043309098482578556t_unit )
% 3.29/3.51        = ( ( A4 = bot_bot_set_nat )
% 3.29/3.51          | ( B5 = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1839_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_o] :
% 3.29/3.51        ( ( ( product_Sigma_nat_o @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 )
% 3.29/3.51          = bot_bo1114129665703605383_nat_o )
% 3.29/3.51        = ( ( A4 = bot_bot_set_nat )
% 3.29/3.51          | ( B5 = bot_bot_set_o ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1840_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat] :
% 3.29/3.51        ( ( ( produc457027306803732586at_nat @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 )
% 3.29/3.51          = bot_bo2099793752762293965at_nat )
% 3.29/3.51        = ( ( A4 = bot_bot_set_nat )
% 3.29/3.51          | ( B5 = bot_bot_set_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1841_Times__empty,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ( produc3904733337175673596at_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = bot_bo6659885642593197735at_nat )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( B5 = bot_bo2099793752762293965at_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Times_empty
% 3.29/3.51  thf(fact_1842_Collect__const__case__prod,axiom,
% 3.29/3.51      ! [P2: $o] :
% 3.29/3.51        ( ( P2
% 3.29/3.51         => ( ( collec6321179662152712658at_nat
% 3.29/3.51              @ ( produc410239310623530412_nat_o
% 3.29/3.51                @ ^ [A5: set_Pr1261947904930325089at_nat,B4: set_Pr1261947904930325089at_nat] : P2 ) )
% 3.29/3.51            = top_to6833984726390702231at_nat ) )
% 3.29/3.51        & ( ~ P2
% 3.29/3.51         => ( ( collec6321179662152712658at_nat
% 3.29/3.51              @ ( produc410239310623530412_nat_o
% 3.29/3.51                @ ^ [A5: set_Pr1261947904930325089at_nat,B4: set_Pr1261947904930325089at_nat] : P2 ) )
% 3.29/3.51            = bot_bo228742789529271731at_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Collect_const_case_prod
% 3.29/3.51  thf(fact_1843_Collect__const__case__prod,axiom,
% 3.29/3.51      ! [P2: $o] :
% 3.29/3.51        ( ( P2
% 3.29/3.51         => ( ( collec3392354462482085612at_nat
% 3.29/3.51              @ ( produc6081775807080527818_nat_o
% 3.29/3.51                @ ^ [A5: nat,B4: nat] : P2 ) )
% 3.29/3.51            = top_to4669805908274784177at_nat ) )
% 3.29/3.51        & ( ~ P2
% 3.29/3.51         => ( ( collec3392354462482085612at_nat
% 3.29/3.51              @ ( produc6081775807080527818_nat_o
% 3.29/3.51                @ ^ [A5: nat,B4: nat] : P2 ) )
% 3.29/3.51            = bot_bo2099793752762293965at_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Collect_const_case_prod
% 3.29/3.51  thf(fact_1844_Collect__const__case__prod,axiom,
% 3.29/3.51      ! [P2: $o] :
% 3.29/3.51        ( ( P2
% 3.29/3.51         => ( ( collec213857154873943460nt_int
% 3.29/3.51              @ ( produc4947309494688390418_int_o
% 3.29/3.51                @ ^ [A5: int,B4: int] : P2 ) )
% 3.29/3.51            = top_to4366644338036079209nt_int ) )
% 3.29/3.51        & ( ~ P2
% 3.29/3.51         => ( ( collec213857154873943460nt_int
% 3.29/3.51              @ ( produc4947309494688390418_int_o
% 3.29/3.51                @ ^ [A5: int,B4: int] : P2 ) )
% 3.29/3.51            = bot_bo1796632182523588997nt_int ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Collect_const_case_prod
% 3.29/3.51  thf(fact_1845_Sigma__empty__iff,axiom,
% 3.29/3.51      ! [I3: set_se7855581050983116737at_nat,X5: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.51        ( ( ( produc7726050920695093128at_nat @ I3 @ X5 )
% 3.29/3.51          = bot_bo228742789529271731at_nat )
% 3.29/3.51        = ( ! [X4: set_Pr1261947904930325089at_nat] :
% 3.29/3.51              ( ( member2643936169264416010at_nat @ X4 @ I3 )
% 3.29/3.51             => ( ( X5 @ X4 )
% 3.29/3.51                = bot_bo3083307316010499117at_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_empty_iff
% 3.29/3.51  thf(fact_1846_Sigma__empty__iff,axiom,
% 3.29/3.51      ! [I3: set_nat,X5: nat > set_nat] :
% 3.29/3.51        ( ( ( produc457027306803732586at_nat @ I3 @ X5 )
% 3.29/3.51          = bot_bo2099793752762293965at_nat )
% 3.29/3.51        = ( ! [X4: nat] :
% 3.29/3.51              ( ( member_nat @ X4 @ I3 )
% 3.29/3.51             => ( ( X5 @ X4 )
% 3.29/3.51                = bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_empty_iff
% 3.29/3.51  thf(fact_1847_subset__emptyI,axiom,
% 3.29/3.51      ! [A4: set_int] :
% 3.29/3.51        ( ! [X: int] :
% 3.29/3.51            ~ ( member_int @ X @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_int @ A4 @ bot_bot_set_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % subset_emptyI
% 3.29/3.51  thf(fact_1848_subset__emptyI,axiom,
% 3.29/3.51      ! [A4: set_Product_unit] :
% 3.29/3.51        ( ! [X: product_unit] :
% 3.29/3.51            ~ ( member_Product_unit @ X @ A4 )
% 3.29/3.51       => ( ord_le3507040750410214029t_unit @ A4 @ bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % subset_emptyI
% 3.29/3.51  thf(fact_1849_subset__emptyI,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.51            ~ ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.51       => ( ord_le1268244103169919719at_nat @ A4 @ bot_bo228742789529271731at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % subset_emptyI
% 3.29/3.51  thf(fact_1850_subset__emptyI,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ! [X: product_prod_nat_nat] :
% 3.29/3.51            ~ ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51       => ( ord_le3146513528884898305at_nat @ A4 @ bot_bo2099793752762293965at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % subset_emptyI
% 3.29/3.51  thf(fact_1851_subset__emptyI,axiom,
% 3.29/3.51      ! [A4: set_o] :
% 3.29/3.51        ( ! [X: $o] :
% 3.29/3.51            ~ ( member_o @ X @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_o @ A4 @ bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % subset_emptyI
% 3.29/3.51  thf(fact_1852_subset__emptyI,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ! [X: nat] :
% 3.29/3.51            ~ ( member_nat @ X @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ A4 @ bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % subset_emptyI
% 3.29/3.51  thf(fact_1853_less__by__empty,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( A4 = bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ord_le1268244103169919719at_nat @ A4 @ B5 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % less_by_empty
% 3.29/3.51  thf(fact_1854_less__by__empty,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( A4 = bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ord_le3146513528884898305at_nat @ A4 @ B5 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % less_by_empty
% 3.29/3.51  thf(fact_1855_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_Product_unit,C3: set_Product_unit,D: set_Product_unit] :
% 3.29/3.51        ( ( ( produc6121607364029222536t_unit @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = ( produc6121607364029222536t_unit @ C3
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( B5 = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51            & ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( D = bot_bo3957492148770167129t_unit ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1856_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_o,C3: set_Product_unit,D: set_o] :
% 3.29/3.51        ( ( ( produc4996980317674386579unit_o @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = ( produc4996980317674386579unit_o @ C3
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( B5 = bot_bot_set_o ) )
% 3.29/3.51            & ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( D = bot_bot_set_o ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1857_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_nat,C3: set_Product_unit,D: set_nat] :
% 3.29/3.51        ( ( ( produc6875377002296012693it_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = ( produc6875377002296012693it_nat @ C3
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( B5 = bot_bot_set_nat ) )
% 3.29/3.51            & ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( D = bot_bot_set_nat ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1858_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_Product_unit,C3: set_o,D: set_Product_unit] :
% 3.29/3.51        ( ( ( produc411009820408249917t_unit @ A4
% 3.29/3.51            @ ^ [Uu: $o] : B5 )
% 3.29/3.51          = ( produc411009820408249917t_unit @ C3
% 3.29/3.51            @ ^ [Uu: $o] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51              | ( B5 = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51            & ( ( C3 = bot_bot_set_o )
% 3.29/3.51              | ( D = bot_bo3957492148770167129t_unit ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1859_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: set_o,D: set_o] :
% 3.29/3.51        ( ( ( product_Sigma_o_o @ A4
% 3.29/3.51            @ ^ [Uu: $o] : B5 )
% 3.29/3.51          = ( product_Sigma_o_o @ C3
% 3.29/3.51            @ ^ [Uu: $o] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51              | ( B5 = bot_bot_set_o ) )
% 3.29/3.51            & ( ( C3 = bot_bot_set_o )
% 3.29/3.51              | ( D = bot_bot_set_o ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1860_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_nat,C3: set_o,D: set_nat] :
% 3.29/3.51        ( ( ( product_Sigma_o_nat @ A4
% 3.29/3.51            @ ^ [Uu: $o] : B5 )
% 3.29/3.51          = ( product_Sigma_o_nat @ C3
% 3.29/3.51            @ ^ [Uu: $o] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51              | ( B5 = bot_bot_set_nat ) )
% 3.29/3.51            & ( ( C3 = bot_bot_set_o )
% 3.29/3.51              | ( D = bot_bot_set_nat ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1861_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_Product_unit,C3: set_nat,D: set_Product_unit] :
% 3.29/3.51        ( ( ( produc5506539147108004339t_unit @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 )
% 3.29/3.51          = ( produc5506539147108004339t_unit @ C3
% 3.29/3.51            @ ^ [Uu: nat] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51              | ( B5 = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51            & ( ( C3 = bot_bot_set_nat )
% 3.29/3.51              | ( D = bot_bo3957492148770167129t_unit ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1862_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_o,C3: set_nat,D: set_o] :
% 3.29/3.51        ( ( ( product_Sigma_nat_o @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 )
% 3.29/3.51          = ( product_Sigma_nat_o @ C3
% 3.29/3.51            @ ^ [Uu: nat] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51              | ( B5 = bot_bot_set_o ) )
% 3.29/3.51            & ( ( C3 = bot_bot_set_nat )
% 3.29/3.51              | ( D = bot_bot_set_o ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1863_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: set_nat,D: set_nat] :
% 3.29/3.51        ( ( ( produc457027306803732586at_nat @ A4
% 3.29/3.51            @ ^ [Uu: nat] : B5 )
% 3.29/3.51          = ( produc457027306803732586at_nat @ C3
% 3.29/3.51            @ ^ [Uu: nat] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51              | ( B5 = bot_bot_set_nat ) )
% 3.29/3.51            & ( ( C3 = bot_bot_set_nat )
% 3.29/3.51              | ( D = bot_bot_set_nat ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1864_times__eq__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,B5: set_Pr1261947904930325089at_nat,C3: set_Product_unit,D: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ( produc3904733337175673596at_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : B5 )
% 3.29/3.51          = ( produc3904733337175673596at_nat @ C3
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( ( A4 = C3 )
% 3.29/3.51            & ( B5 = D ) )
% 3.29/3.51          | ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( B5 = bot_bo2099793752762293965at_nat ) )
% 3.29/3.51            & ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51              | ( D = bot_bo2099793752762293965at_nat ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_eq_iff
% 3.29/3.51  thf(fact_1865_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C3: set_Product_unit,B5: set_Product_unit,D: set_Product_unit] :
% 3.29/3.51        ( ( ord_le930853871177014503t_unit
% 3.29/3.51          @ ( produc6121607364029222536t_unit @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : C3 )
% 3.29/3.51          @ ( produc6121607364029222536t_unit @ B5
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.51            & ( ord_le3507040750410214029t_unit @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1866_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C3: set_o,B5: set_Product_unit,D: set_o] :
% 3.29/3.51        ( ( ord_le8534741403851954546unit_o
% 3.29/3.51          @ ( produc4996980317674386579unit_o @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : C3 )
% 3.29/3.51          @ ( produc4996980317674386579unit_o @ B5
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( C3 = bot_bot_set_o )
% 3.29/3.51          | ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.51            & ( ord_less_eq_set_o @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1867_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C3: set_nat,B5: set_Product_unit,D: set_nat] :
% 3.29/3.51        ( ( ord_le8121013740822022818it_nat
% 3.29/3.51          @ ( produc6875377002296012693it_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : C3 )
% 3.29/3.51          @ ( produc6875377002296012693it_nat @ B5
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( C3 = bot_bot_set_nat )
% 3.29/3.51          | ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.51            & ( ord_less_eq_set_nat @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1868_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_o,C3: set_Product_unit,B5: set_o,D: set_Product_unit] :
% 3.29/3.51        ( ( ord_le518195775913581980t_unit
% 3.29/3.51          @ ( produc411009820408249917t_unit @ A4
% 3.29/3.51            @ ^ [Uu: $o] : C3 )
% 3.29/3.51          @ ( produc411009820408249917t_unit @ B5
% 3.29/3.51            @ ^ [Uu: $o] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bot_set_o )
% 3.29/3.51          | ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.51            & ( ord_le3507040750410214029t_unit @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1869_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_o,C3: set_o,B5: set_o,D: set_o] :
% 3.29/3.51        ( ( ord_le192195778054999463od_o_o
% 3.29/3.51          @ ( product_Sigma_o_o @ A4
% 3.29/3.51            @ ^ [Uu: $o] : C3 )
% 3.29/3.51          @ ( product_Sigma_o_o @ B5
% 3.29/3.51            @ ^ [Uu: $o] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bot_set_o )
% 3.29/3.51          | ( C3 = bot_bot_set_o )
% 3.29/3.51          | ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.51            & ( ord_less_eq_set_o @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1870_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_o,C3: set_nat,B5: set_o,D: set_nat] :
% 3.29/3.51        ( ( ord_le6472378536984071597_o_nat
% 3.29/3.51          @ ( product_Sigma_o_nat @ A4
% 3.29/3.51            @ ^ [Uu: $o] : C3 )
% 3.29/3.51          @ ( product_Sigma_o_nat @ B5
% 3.29/3.51            @ ^ [Uu: $o] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bot_set_o )
% 3.29/3.51          | ( C3 = bot_bot_set_nat )
% 3.29/3.51          | ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.51            & ( ord_less_eq_set_nat @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1871_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_nat,C3: set_Product_unit,B5: set_nat,D: set_Product_unit] :
% 3.29/3.51        ( ( ord_le1468274181084648008t_unit
% 3.29/3.51          @ ( produc5506539147108004339t_unit @ A4
% 3.29/3.51            @ ^ [Uu: nat] : C3 )
% 3.29/3.51          @ ( produc5506539147108004339t_unit @ B5
% 3.29/3.51            @ ^ [Uu: nat] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bot_set_nat )
% 3.29/3.51          | ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.51            & ( ord_le3507040750410214029t_unit @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1872_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_nat,C3: set_o,B5: set_nat,D: set_o] :
% 3.29/3.51        ( ( ord_le7519981659162375251_nat_o
% 3.29/3.51          @ ( product_Sigma_nat_o @ A4
% 3.29/3.51            @ ^ [Uu: nat] : C3 )
% 3.29/3.51          @ ( product_Sigma_nat_o @ B5
% 3.29/3.51            @ ^ [Uu: nat] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bot_set_nat )
% 3.29/3.51          | ( C3 = bot_bot_set_o )
% 3.29/3.51          | ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.51            & ( ord_less_eq_set_o @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1873_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_nat,C3: set_nat,B5: set_nat,D: set_nat] :
% 3.29/3.51        ( ( ord_le3146513528884898305at_nat
% 3.29/3.51          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51            @ ^ [Uu: nat] : C3 )
% 3.29/3.51          @ ( produc457027306803732586at_nat @ B5
% 3.29/3.51            @ ^ [Uu: nat] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bot_set_nat )
% 3.29/3.51          | ( C3 = bot_bot_set_nat )
% 3.29/3.51          | ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.51            & ( ord_less_eq_set_nat @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1874_times__subset__iff,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C3: set_Pr1261947904930325089at_nat,B5: set_Product_unit,D: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ord_le8681960759543468507at_nat
% 3.29/3.51          @ ( produc3904733337175673596at_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_unit] : C3 )
% 3.29/3.51          @ ( produc3904733337175673596at_nat @ B5
% 3.29/3.51            @ ^ [Uu: product_unit] : D ) )
% 3.29/3.51        = ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51          | ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.51          | ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.51            & ( ord_le3146513528884898305at_nat @ C3 @ D ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % times_subset_iff
% 3.29/3.51  thf(fact_1875_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_o,B5: $o > set_Product_unit] :
% 3.29/3.51        ( ( image_8742399529945250561unit_o @ produc5219655352205527288t_unit @ ( produc411009820408249917t_unit @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_o
% 3.29/3.51          @ ^ [X4: $o] :
% 3.29/3.51              ( ( member_o @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bo3957492148770167129t_unit ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1876_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_int,B5: int > set_Product_unit] :
% 3.29/3.51        ( ( image_7716461468295075337it_int @ produc917050878549155996t_unit @ ( produc2622961094310184599t_unit @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_int
% 3.29/3.51          @ ^ [X4: int] :
% 3.29/3.51              ( ( member_int @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bo3957492148770167129t_unit ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1877_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: nat > set_Product_unit] :
% 3.29/3.51        ( ( image_3884712837920099081it_nat @ produc3800628931346975736t_unit @ ( produc5506539147108004339t_unit @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_nat
% 3.29/3.51          @ ^ [X4: nat] :
% 3.29/3.51              ( ( member_nat @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bo3957492148770167129t_unit ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1878_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_o,B5: $o > set_o] :
% 3.29/3.51        ( ( image_7896445794123959606_o_o_o @ product_fst_o_o @ ( product_Sigma_o_o @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_o
% 3.29/3.51          @ ^ [X4: $o] :
% 3.29/3.51              ( ( member_o @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bot_set_o ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1879_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_int,B5: int > set_o] :
% 3.29/3.51        ( ( image_90517134139374612_o_int @ product_fst_int_o @ ( product_Sigma_int_o @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_int
% 3.29/3.51          @ ^ [X4: int] :
% 3.29/3.51              ( ( member_int @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bot_set_o ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1880_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: nat > set_o] :
% 3.29/3.51        ( ( image_8629803608462650132_o_nat @ product_fst_nat_o @ ( product_Sigma_nat_o @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_nat
% 3.29/3.51          @ ^ [X4: nat] :
% 3.29/3.51              ( ( member_nat @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bot_set_o ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1881_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_o,B5: $o > set_nat] :
% 3.29/3.51        ( ( image_8105710389281276538_nat_o @ product_fst_o_nat @ ( product_Sigma_o_nat @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_o
% 3.29/3.51          @ ^ [X4: $o] :
% 3.29/3.51              ( ( member_o @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1882_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_int,B5: int > set_nat] :
% 3.29/3.51        ( ( image_2855239504505064772at_int @ product_fst_int_nat @ ( produc1456381018704787142nt_nat @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_int
% 3.29/3.51          @ ^ [X4: int] :
% 3.29/3.51              ( ( member_int @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1883_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( image_2486076414777270412at_nat @ product_fst_nat_nat @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_nat
% 3.29/3.51          @ ^ [X4: nat] :
% 3.29/3.51              ( ( member_nat @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1884_fst__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_ref_a,B5: ref_a > set_he8644174446132254637t_unit] :
% 3.29/3.51        ( ( image_7136766188234240905_ref_a @ produc473321116828791851t_unit @ ( produc3946373962484743846t_unit @ A4 @ B5 ) )
% 3.29/3.51        = ( collect_ref_a
% 3.29/3.51          @ ^ [X4: ref_a] :
% 3.29/3.51              ( ( member_ref_a @ X4 @ A4 )
% 3.29/3.51              & ( ( B5 @ X4 )
% 3.29/3.51               != bot_bo3686245532977126937t_unit ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % fst_image_Sigma
% 3.29/3.51  thf(fact_1885_rp__inv__image__rp,axiom,
% 3.29/3.51      ! [P2: produc1319942482725812455at_nat,F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( fun_re2478310338295953701at_nat @ P2 )
% 3.29/3.51       => ( fun_re2478310338295953701at_nat @ ( fun_rp8445993449185644698at_nat @ P2 @ F ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % rp_inv_image_rp
% 3.29/3.51  thf(fact_1886_the__elem__image__unique,axiom,
% 3.29/3.51      ! [A4: set_int,F: int > nat,X2: int] :
% 3.29/3.51        ( ( A4 != bot_bot_set_int )
% 3.29/3.51       => ( ! [Y: int] :
% 3.29/3.51              ( ( member_int @ Y @ A4 )
% 3.29/3.51             => ( ( F @ Y )
% 3.29/3.51                = ( F @ X2 ) ) )
% 3.29/3.51         => ( ( the_elem_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.51            = ( F @ X2 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % the_elem_image_unique
% 3.29/3.51  thf(fact_1887_the__elem__image__unique,axiom,
% 3.29/3.51      ! [A4: set_int,F: int > int,X2: int] :
% 3.29/3.51        ( ( A4 != bot_bot_set_int )
% 3.29/3.51       => ( ! [Y: int] :
% 3.29/3.51              ( ( member_int @ Y @ A4 )
% 3.29/3.51             => ( ( F @ Y )
% 3.29/3.51                = ( F @ X2 ) ) )
% 3.29/3.51         => ( ( the_elem_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.51            = ( F @ X2 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % the_elem_image_unique
% 3.29/3.51  thf(fact_1888_the__elem__image__unique,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > rat,X2: nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [Y: nat] :
% 3.29/3.51              ( ( member_nat @ Y @ A4 )
% 3.29/3.51             => ( ( F @ Y )
% 3.29/3.51                = ( F @ X2 ) ) )
% 3.29/3.51         => ( ( the_elem_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.51            = ( F @ X2 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % the_elem_image_unique
% 3.29/3.51  thf(fact_1889_the__elem__image__unique,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > nat,X2: nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [Y: nat] :
% 3.29/3.51              ( ( member_nat @ Y @ A4 )
% 3.29/3.51             => ( ( F @ Y )
% 3.29/3.51                = ( F @ X2 ) ) )
% 3.29/3.51         => ( ( the_elem_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.51            = ( F @ X2 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % the_elem_image_unique
% 3.29/3.51  thf(fact_1890_the__elem__image__unique,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > int,X2: nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [Y: nat] :
% 3.29/3.51              ( ( member_nat @ Y @ A4 )
% 3.29/3.51             => ( ( F @ Y )
% 3.29/3.51                = ( F @ X2 ) ) )
% 3.29/3.51         => ( ( the_elem_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.51            = ( F @ X2 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % the_elem_image_unique
% 3.29/3.51  thf(fact_1891_snd__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_ref_a,B5: ref_a > set_he8644174446132254637t_unit] :
% 3.29/3.51        ( ( image_17660834435998945t_unit @ produc1126150082675451753t_unit @ ( produc3946373962484743846t_unit @ A4 @ B5 ) )
% 3.29/3.51        = ( comple6989579708249578522t_unit @ ( image_5570573867351727369t_unit @ B5 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_Sigma
% 3.29/3.51  thf(fact_1892_snd__image__Sigma,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( image_2486076414777270412at_nat @ product_snd_nat_nat @ ( produc457027306803732586at_nat @ A4 @ B5 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % snd_image_Sigma
% 3.29/3.51  thf(fact_1893_range__constant,axiom,
% 3.29/3.51      ! [X2: product_unit] :
% 3.29/3.51        ( ( image_4337914935673063477t_unit
% 3.29/3.51          @ ^ [Uu: char] : X2
% 3.29/3.51          @ top_top_set_char )
% 3.29/3.51        = ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1894_range__constant,axiom,
% 3.29/3.51      ! [X2: $o] :
% 3.29/3.51        ( ( image_char_o
% 3.29/3.51          @ ^ [Uu: char] : X2
% 3.29/3.51          @ top_top_set_char )
% 3.29/3.51        = ( insert_o @ X2 @ bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1895_range__constant,axiom,
% 3.29/3.51      ! [X2: nat] :
% 3.29/3.51        ( ( image_char_nat
% 3.29/3.51          @ ^ [Uu: char] : X2
% 3.29/3.51          @ top_top_set_char )
% 3.29/3.51        = ( insert_nat @ X2 @ bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1896_range__constant,axiom,
% 3.29/3.51      ! [X2: product_unit] :
% 3.29/3.51        ( ( image_2327579789247107822t_unit
% 3.29/3.51          @ ^ [Uu: rat] : X2
% 3.29/3.51          @ top_top_set_rat )
% 3.29/3.51        = ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1897_range__constant,axiom,
% 3.29/3.51      ! [X2: $o] :
% 3.29/3.51        ( ( image_rat_o
% 3.29/3.51          @ ^ [Uu: rat] : X2
% 3.29/3.51          @ top_top_set_rat )
% 3.29/3.51        = ( insert_o @ X2 @ bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1898_range__constant,axiom,
% 3.29/3.51      ! [X2: nat] :
% 3.29/3.51        ( ( image_rat_nat
% 3.29/3.51          @ ^ [Uu: rat] : X2
% 3.29/3.51          @ top_top_set_rat )
% 3.29/3.51        = ( insert_nat @ X2 @ bot_bot_set_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1899_range__constant,axiom,
% 3.29/3.51      ! [X2: rat] :
% 3.29/3.51        ( ( image_nat_rat
% 3.29/3.51          @ ^ [Uu: nat] : X2
% 3.29/3.51          @ top_top_set_nat )
% 3.29/3.51        = ( insert_rat @ X2 @ bot_bot_set_rat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1900_range__constant,axiom,
% 3.29/3.51      ! [X2: int] :
% 3.29/3.51        ( ( image_nat_int
% 3.29/3.51          @ ^ [Uu: nat] : X2
% 3.29/3.51          @ top_top_set_nat )
% 3.29/3.51        = ( insert_int @ X2 @ bot_bot_set_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1901_range__constant,axiom,
% 3.29/3.51      ! [X2: product_unit] :
% 3.29/3.51        ( ( image_8730104196221521654t_unit
% 3.29/3.51          @ ^ [Uu: nat] : X2
% 3.29/3.51          @ top_top_set_nat )
% 3.29/3.51        = ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1902_range__constant,axiom,
% 3.29/3.51      ! [X2: $o] :
% 3.29/3.51        ( ( image_nat_o
% 3.29/3.51          @ ^ [Uu: nat] : X2
% 3.29/3.51          @ top_top_set_nat )
% 3.29/3.51        = ( insert_o @ X2 @ bot_bot_set_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_constant
% 3.29/3.51  thf(fact_1903_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_char] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7965528767983648192t_char
% 3.29/3.51              @ ( image_5325685772115642575t_char
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_char ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7965528767983648192t_char
% 3.29/3.51              @ ( image_5325685772115642575t_char
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1904_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_o,C: set_char] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple7965528767983648192t_char
% 3.29/3.51              @ ( image_o_set_char
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_char ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple7965528767983648192t_char
% 3.29/3.51              @ ( image_o_set_char
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1905_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_nat,C: set_char] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple7965528767983648192t_char
% 3.29/3.51              @ ( image_nat_set_char
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_char ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple7965528767983648192t_char
% 3.29/3.51              @ ( image_nat_set_char
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1906_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_rat] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple4298007329820168263et_rat
% 3.29/3.51              @ ( image_4665621433434589782et_rat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_rat ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple4298007329820168263et_rat
% 3.29/3.51              @ ( image_4665621433434589782et_rat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1907_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_o,C: set_rat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple4298007329820168263et_rat
% 3.29/3.51              @ ( image_o_set_rat
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_rat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple4298007329820168263et_rat
% 3.29/3.51              @ ( image_o_set_rat
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1908_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_nat,C: set_rat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple4298007329820168263et_rat
% 3.29/3.51              @ ( image_nat_set_rat
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_rat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple4298007329820168263et_rat
% 3.29/3.51              @ ( image_nat_set_rat
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1909_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_int] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple3628384868704368283et_int
% 3.29/3.51              @ ( image_3995998972318789802et_int
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_int ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple3628384868704368283et_int
% 3.29/3.51              @ ( image_3995998972318789802et_int
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1910_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_o,C: set_int] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple3628384868704368283et_int
% 3.29/3.51              @ ( image_o_set_int
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_int ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple3628384868704368283et_int
% 3.29/3.51              @ ( image_o_set_int
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1911_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_nat,C: set_int] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple3628384868704368283et_int
% 3.29/3.51              @ ( image_nat_set_int
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_int ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple3628384868704368283et_int
% 3.29/3.51              @ ( image_nat_set_int
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1912_INT__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = top_top_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_constant
% 3.29/3.51  thf(fact_1913_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: int > code_integer > $o,R7: code_integer > code_integer > $o,S5: num > num > $o,S6: num > num > $o] :
% 3.29/3.51        ( ( left_u6795595883297946906nteger @ R3 )
% 3.29/3.51       => ( ( right_7281159819619925802nteger @ R3 )
% 3.29/3.51         => ( ( right_5866438497372881682nteger @ R7 )
% 3.29/3.51           => ( ( left_t2884206969071330nteger @ R7 )
% 3.29/3.51             => ( ord_le6931201860925936491_num_o @ ( bNF_re6718328864250387230um_num @ ( relcom8320293257703906841nteger @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom1848932251921554756er_num @ ( bNF_re6718328864250387230um_num @ R3 @ S5 ) @ ( bNF_re40212662316476751um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1914_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: int > code_integer > $o,R7: code_integer > int > $o,S5: num > num > $o,S6: num > num > $o] :
% 3.29/3.51        ( ( left_u6795595883297946906nteger @ R3 )
% 3.29/3.51       => ( ( right_7281159819619925802nteger @ R3 )
% 3.29/3.51         => ( ( right_7836862732553076961er_int @ R7 )
% 3.29/3.51           => ( ( left_t1735413524555719857er_int @ R7 )
% 3.29/3.51             => ( ord_le4541714130423454556_num_o @ ( bNF_re7626690874201225453um_num @ ( relcom328798225758222312er_int @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom7779292856395800339nt_num @ ( bNF_re6718328864250387230um_num @ R3 @ S5 ) @ ( bNF_re8313794964846168862um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1915_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: int > int > $o,R7: int > int > $o,S5: num > num > $o,S6: num > num > $o] :
% 3.29/3.51        ( ( left_unique_int_int @ R3 )
% 3.29/3.51       => ( ( right_total_int_int @ R3 )
% 3.29/3.51         => ( ( right_unique_int_int @ R7 )
% 3.29/3.51           => ( ( left_total_int_int @ R7 )
% 3.29/3.51             => ( ord_le4541714130423454556_num_o @ ( bNF_re7626690874201225453um_num @ ( relcompp_int_int_int @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom9025577121137075810nt_num @ ( bNF_re7626690874201225453um_num @ R3 @ S5 ) @ ( bNF_re7626690874201225453um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1916_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: int > int > $o,R7: int > code_integer > $o,S5: num > num > $o,S6: num > num > $o] :
% 3.29/3.51        ( ( left_unique_int_int @ R3 )
% 3.29/3.51       => ( ( right_total_int_int @ R3 )
% 3.29/3.51         => ( ( right_8475562212078014689nteger @ R7 )
% 3.29/3.51           => ( ( left_t2374113004080657585nteger @ R7 )
% 3.29/3.51             => ( ord_le6931201860925936491_num_o @ ( bNF_re6718328864250387230um_num @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom1533066287727470739er_num @ ( bNF_re7626690874201225453um_num @ R3 @ S5 ) @ ( bNF_re6718328864250387230um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1917_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: int > int > $o,R7: int > code_integer > $o,S5: int > int > $o,S6: int > code_integer > $o] :
% 3.29/3.51        ( ( left_unique_int_int @ R3 )
% 3.29/3.51       => ( ( right_total_int_int @ R3 )
% 3.29/3.51         => ( ( right_8475562212078014689nteger @ R7 )
% 3.29/3.51           => ( ( left_t2374113004080657585nteger @ R7 )
% 3.29/3.51             => ( ord_le7522433683449569238eger_o @ ( bNF_re3379532845092657523nteger @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcom967497705283160040nteger @ S5 @ S6 ) ) @ ( relcom7212586982944386682nteger @ ( bNF_re4712519889275205905nt_int @ R3 @ S5 ) @ ( bNF_re3379532845092657523nteger @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1918_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: product_prod_nat_nat > int > $o,R7: int > int > $o,S5: nat > nat > $o,S6: nat > nat > $o] :
% 3.29/3.51        ( ( left_u4005249686606446046at_int @ R3 )
% 3.29/3.51       => ( ( right_1157779049177982926at_int @ R3 )
% 3.29/3.51         => ( ( right_unique_int_int @ R7 )
% 3.29/3.51           => ( ( left_total_int_int @ R7 )
% 3.29/3.51             => ( ord_le1714508135640884727_nat_o @ ( bNF_re4555766996558763186at_nat @ ( relcom2949942408940504938nt_int @ R3 @ R7 ) @ ( relcompp_nat_nat_nat @ S5 @ S6 ) ) @ ( relcom4272412204205018633nt_nat @ ( bNF_re4555766996558763186at_nat @ R3 @ S5 ) @ ( bNF_re3715656647883201625at_nat @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1919_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,R7: product_prod_nat_nat > int > $o,S5: nat > nat > $o,S6: nat > nat > $o] :
% 3.29/3.51        ( ( left_u7296345956935681743at_nat @ R3 )
% 3.29/3.51       => ( ( right_4094035864313884895at_nat @ R3 )
% 3.29/3.51         => ( ( right_8621877368619751767at_int @ R7 )
% 3.29/3.51           => ( ( left_t1861001511420785031at_int @ R7 )
% 3.29/3.51             => ( ord_le1714508135640884727_nat_o @ ( bNF_re4555766996558763186at_nat @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcompp_nat_nat_nat @ S5 @ S6 ) ) @ ( relcom531901107642208332nt_nat @ ( bNF_re8246922863344978751at_nat @ R3 @ S5 ) @ ( bNF_re4555766996558763186at_nat @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1920_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,R7: product_prod_nat_nat > int > $o,S5: int > int > $o,S6: int > code_integer > $o] :
% 3.29/3.51        ( ( left_u7296345956935681743at_nat @ R3 )
% 3.29/3.51       => ( ( right_4094035864313884895at_nat @ R3 )
% 3.29/3.51         => ( ( right_8621877368619751767at_int @ R7 )
% 3.29/3.51           => ( ( left_t1861001511420785031at_int @ R7 )
% 3.29/3.51             => ( ord_le6141271677531915726eger_o @ ( bNF_re6202762543029211035nteger @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcom967497705283160040nteger @ S5 @ S6 ) ) @ ( relcom4574826104943343961nteger @ ( bNF_re20414067882207223nt_int @ R3 @ S5 ) @ ( bNF_re6202762543029211035nteger @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1921_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: int > int > $o,R7: int > code_integer > $o,S5: product_prod_nat_nat > product_prod_nat_nat > $o,S6: product_prod_nat_nat > int > $o] :
% 3.29/3.51        ( ( left_unique_int_int @ R3 )
% 3.29/3.51       => ( ( right_total_int_int @ R3 )
% 3.29/3.51         => ( ( right_8475562212078014689nteger @ R7 )
% 3.29/3.51           => ( ( left_t2374113004080657585nteger @ R7 )
% 3.29/3.51             => ( ord_le8615040745438789472_int_o @ ( bNF_re2828929484557863493at_int @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcom8911704206367525917at_int @ S5 @ S6 ) ) @ ( relcom2127790875031262553er_int @ ( bNF_re8766404587435608311at_nat @ R3 @ S5 ) @ ( bNF_re2828929484557863493at_int @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1922_neg__fun__distr1,axiom,
% 3.29/3.51      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,R7: product_prod_nat_nat > int > $o,S5: product_prod_nat_nat > product_prod_nat_nat > $o,S6: product_prod_nat_nat > int > $o] :
% 3.29/3.51        ( ( left_u7296345956935681743at_nat @ R3 )
% 3.29/3.51       => ( ( right_4094035864313884895at_nat @ R3 )
% 3.29/3.51         => ( ( right_8621877368619751767at_int @ R7 )
% 3.29/3.51           => ( ( left_t1861001511420785031at_int @ R7 )
% 3.29/3.51             => ( ord_le2484784447047653514_int_o @ ( bNF_re7400052026677387805at_int @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcom8911704206367525917at_int @ S5 @ S6 ) ) @ ( relcom4982215633375716084nt_int @ ( bNF_re2241393799969408733at_nat @ R3 @ S5 ) @ ( bNF_re7400052026677387805at_int @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr1
% 3.29/3.51  thf(fact_1923_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: code_integer > code_integer > $o,S6: num > num > $o,R3: int > code_integer > $o,S5: num > num > $o] :
% 3.29/3.51        ( ( right_5866438497372881682nteger @ R7 )
% 3.29/3.51       => ( ( left_t2884206969071330nteger @ R7 )
% 3.29/3.51         => ( ( left_unique_num_num @ S6 )
% 3.29/3.51           => ( ( right_total_num_num @ S6 )
% 3.29/3.51             => ( ord_le6931201860925936491_num_o @ ( bNF_re6718328864250387230um_num @ ( relcom8320293257703906841nteger @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom1848932251921554756er_num @ ( bNF_re6718328864250387230um_num @ R3 @ S5 ) @ ( bNF_re40212662316476751um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1924_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: code_integer > int > $o,S6: num > num > $o,R3: int > code_integer > $o,S5: num > num > $o] :
% 3.29/3.51        ( ( right_7836862732553076961er_int @ R7 )
% 3.29/3.51       => ( ( left_t1735413524555719857er_int @ R7 )
% 3.29/3.51         => ( ( left_unique_num_num @ S6 )
% 3.29/3.51           => ( ( right_total_num_num @ S6 )
% 3.29/3.51             => ( ord_le4541714130423454556_num_o @ ( bNF_re7626690874201225453um_num @ ( relcom328798225758222312er_int @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom7779292856395800339nt_num @ ( bNF_re6718328864250387230um_num @ R3 @ S5 ) @ ( bNF_re8313794964846168862um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1925_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: int > int > $o,S6: num > num > $o,R3: int > int > $o,S5: num > num > $o] :
% 3.29/3.51        ( ( right_unique_int_int @ R7 )
% 3.29/3.51       => ( ( left_total_int_int @ R7 )
% 3.29/3.51         => ( ( left_unique_num_num @ S6 )
% 3.29/3.51           => ( ( right_total_num_num @ S6 )
% 3.29/3.51             => ( ord_le4541714130423454556_num_o @ ( bNF_re7626690874201225453um_num @ ( relcompp_int_int_int @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom9025577121137075810nt_num @ ( bNF_re7626690874201225453um_num @ R3 @ S5 ) @ ( bNF_re7626690874201225453um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1926_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: int > code_integer > $o,S6: num > num > $o,R3: int > int > $o,S5: num > num > $o] :
% 3.29/3.51        ( ( right_8475562212078014689nteger @ R7 )
% 3.29/3.51       => ( ( left_t2374113004080657585nteger @ R7 )
% 3.29/3.51         => ( ( left_unique_num_num @ S6 )
% 3.29/3.51           => ( ( right_total_num_num @ S6 )
% 3.29/3.51             => ( ord_le6931201860925936491_num_o @ ( bNF_re6718328864250387230um_num @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcompp_num_num_num @ S5 @ S6 ) ) @ ( relcom1533066287727470739er_num @ ( bNF_re7626690874201225453um_num @ R3 @ S5 ) @ ( bNF_re6718328864250387230um_num @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1927_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: int > code_integer > $o,S6: int > code_integer > $o,R3: int > int > $o,S5: int > int > $o] :
% 3.29/3.51        ( ( right_8475562212078014689nteger @ R7 )
% 3.29/3.51       => ( ( left_t2374113004080657585nteger @ R7 )
% 3.29/3.51         => ( ( left_u6795595883297946906nteger @ S6 )
% 3.29/3.51           => ( ( right_7281159819619925802nteger @ S6 )
% 3.29/3.51             => ( ord_le7522433683449569238eger_o @ ( bNF_re3379532845092657523nteger @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcom967497705283160040nteger @ S5 @ S6 ) ) @ ( relcom7212586982944386682nteger @ ( bNF_re4712519889275205905nt_int @ R3 @ S5 ) @ ( bNF_re3379532845092657523nteger @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1928_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: int > int > $o,S6: nat > nat > $o,R3: product_prod_nat_nat > int > $o,S5: nat > nat > $o] :
% 3.29/3.51        ( ( right_unique_int_int @ R7 )
% 3.29/3.51       => ( ( left_total_int_int @ R7 )
% 3.29/3.51         => ( ( left_unique_nat_nat @ S6 )
% 3.29/3.51           => ( ( right_total_nat_nat @ S6 )
% 3.29/3.51             => ( ord_le1714508135640884727_nat_o @ ( bNF_re4555766996558763186at_nat @ ( relcom2949942408940504938nt_int @ R3 @ R7 ) @ ( relcompp_nat_nat_nat @ S5 @ S6 ) ) @ ( relcom4272412204205018633nt_nat @ ( bNF_re4555766996558763186at_nat @ R3 @ S5 ) @ ( bNF_re3715656647883201625at_nat @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1929_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: product_prod_nat_nat > int > $o,S6: nat > nat > $o,R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: nat > nat > $o] :
% 3.29/3.51        ( ( right_8621877368619751767at_int @ R7 )
% 3.29/3.51       => ( ( left_t1861001511420785031at_int @ R7 )
% 3.29/3.51         => ( ( left_unique_nat_nat @ S6 )
% 3.29/3.51           => ( ( right_total_nat_nat @ S6 )
% 3.29/3.51             => ( ord_le1714508135640884727_nat_o @ ( bNF_re4555766996558763186at_nat @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcompp_nat_nat_nat @ S5 @ S6 ) ) @ ( relcom531901107642208332nt_nat @ ( bNF_re8246922863344978751at_nat @ R3 @ S5 ) @ ( bNF_re4555766996558763186at_nat @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1930_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: product_prod_nat_nat > int > $o,S6: int > code_integer > $o,R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: int > int > $o] :
% 3.29/3.51        ( ( right_8621877368619751767at_int @ R7 )
% 3.29/3.51       => ( ( left_t1861001511420785031at_int @ R7 )
% 3.29/3.51         => ( ( left_u6795595883297946906nteger @ S6 )
% 3.29/3.51           => ( ( right_7281159819619925802nteger @ S6 )
% 3.29/3.51             => ( ord_le6141271677531915726eger_o @ ( bNF_re6202762543029211035nteger @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcom967497705283160040nteger @ S5 @ S6 ) ) @ ( relcom4574826104943343961nteger @ ( bNF_re20414067882207223nt_int @ R3 @ S5 ) @ ( bNF_re6202762543029211035nteger @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1931_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: int > code_integer > $o,S6: product_prod_nat_nat > int > $o,R3: int > int > $o,S5: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.51        ( ( right_8475562212078014689nteger @ R7 )
% 3.29/3.51       => ( ( left_t2374113004080657585nteger @ R7 )
% 3.29/3.51         => ( ( left_u4005249686606446046at_int @ S6 )
% 3.29/3.51           => ( ( right_1157779049177982926at_int @ S6 )
% 3.29/3.51             => ( ord_le8615040745438789472_int_o @ ( bNF_re2828929484557863493at_int @ ( relcom967497705283160040nteger @ R3 @ R7 ) @ ( relcom8911704206367525917at_int @ S5 @ S6 ) ) @ ( relcom2127790875031262553er_int @ ( bNF_re8766404587435608311at_nat @ R3 @ S5 ) @ ( bNF_re2828929484557863493at_int @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1932_neg__fun__distr2,axiom,
% 3.29/3.51      ! [R7: product_prod_nat_nat > int > $o,S6: product_prod_nat_nat > int > $o,R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.51        ( ( right_8621877368619751767at_int @ R7 )
% 3.29/3.51       => ( ( left_t1861001511420785031at_int @ R7 )
% 3.29/3.51         => ( ( left_u4005249686606446046at_int @ S6 )
% 3.29/3.51           => ( ( right_1157779049177982926at_int @ S6 )
% 3.29/3.51             => ( ord_le2484784447047653514_int_o @ ( bNF_re7400052026677387805at_int @ ( relcom8911704206367525917at_int @ R3 @ R7 ) @ ( relcom8911704206367525917at_int @ S5 @ S6 ) ) @ ( relcom4982215633375716084nt_int @ ( bNF_re2241393799969408733at_nat @ R3 @ S5 ) @ ( bNF_re7400052026677387805at_int @ R7 @ S6 ) ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % neg_fun_distr2
% 3.29/3.51  thf(fact_1933_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Pr5564308138774400199at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( ord_le3091953645718357095at_nat @ R
% 3.29/3.51          @ ( produc4441300235185154312at_nat @ A4
% 3.29/3.51            @ ^ [Uu: produc3843707927480180839at_nat] : A4 ) )
% 3.29/3.51       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.51              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.51             => ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_o7446464703481863270at_nat @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1934_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Pr8693737435421807431at_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ord_le3000389064537975527at_nat @ R
% 3.29/3.51          @ ( produc2761391749766926216at_nat @ A4
% 3.29/3.51            @ ^ [Uu: product_prod_nat_nat] : A4 ) )
% 3.29/3.51       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51             => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_o7122697186039111552at_nat @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1935_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Product_prod_o_o,A4: set_o] :
% 3.29/3.51        ( ( ord_le192195778054999463od_o_o @ R
% 3.29/3.51          @ ( product_Sigma_o_o @ A4
% 3.29/3.51            @ ^ [Uu: $o] : A4 ) )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_on_o @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1936_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Pr7459493094073627847at_nat,A4: set_se5479201105039950375at_nat] :
% 3.29/3.51        ( ( ord_le5997549366648089703at_nat @ R
% 3.29/3.51          @ ( produc6258361011560675592at_nat @ A4
% 3.29/3.51            @ ^ [Uu: set_Pr4329608150637261639at_nat] : A4 ) )
% 3.29/3.51       => ( ! [X: set_Pr4329608150637261639at_nat] :
% 3.29/3.51              ( ( member6273874620674182256at_nat @ X @ A4 )
% 3.29/3.51             => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_o6272981002401706822at_nat @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1937_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Pr4329608150637261639at_nat,A4: set_se7855581050983116737at_nat] :
% 3.29/3.51        ( ( ord_le1268244103169919719at_nat @ R
% 3.29/3.51          @ ( produc7726050920695093128at_nat @ A4
% 3.29/3.51            @ ^ [Uu: set_Pr1261947904930325089at_nat] : A4 ) )
% 3.29/3.51       => ( ! [X: set_Pr1261947904930325089at_nat] :
% 3.29/3.51              ( ( member2643936169264416010at_nat @ X @ A4 )
% 3.29/3.51             => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_o6955724340487615712at_nat @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1938_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Pr958786334691620121nt_int,A4: set_int] :
% 3.29/3.51        ( ( ord_le2843351958646193337nt_int @ R
% 3.29/3.51          @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.51            @ ^ [Uu: int] : A4 ) )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ A4 )
% 3.29/3.51             => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_on_int @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1939_refl__onI,axiom,
% 3.29/3.51      ! [R: set_Pr1261947904930325089at_nat,A4: set_nat] :
% 3.29/3.51        ( ( ord_le3146513528884898305at_nat @ R
% 3.29/3.51          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51            @ ^ [Uu: nat] : A4 ) )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ A4 )
% 3.29/3.51             => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ X ) @ R ) )
% 3.29/3.51         => ( refl_on_nat @ A4 @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onI
% 3.29/3.51  thf(fact_1940_refl__on__def,axiom,
% 3.29/3.51      ( refl_o6272981002401706822at_nat
% 3.29/3.51      = ( ^ [A6: set_se5479201105039950375at_nat,R5: set_Pr7459493094073627847at_nat] :
% 3.29/3.51            ( ( ord_le5997549366648089703at_nat @ R5
% 3.29/3.51              @ ( produc6258361011560675592at_nat @ A6
% 3.29/3.51                @ ^ [Uu: set_Pr4329608150637261639at_nat] : A6 ) )
% 3.29/3.51            & ! [X4: set_Pr4329608150637261639at_nat] :
% 3.29/3.51                ( ( member6273874620674182256at_nat @ X4 @ A6 )
% 3.29/3.51               => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ X4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_def
% 3.29/3.51  thf(fact_1941_refl__on__def,axiom,
% 3.29/3.51      ( refl_o6955724340487615712at_nat
% 3.29/3.51      = ( ^ [A6: set_se7855581050983116737at_nat,R5: set_Pr4329608150637261639at_nat] :
% 3.29/3.51            ( ( ord_le1268244103169919719at_nat @ R5
% 3.29/3.51              @ ( produc7726050920695093128at_nat @ A6
% 3.29/3.51                @ ^ [Uu: set_Pr1261947904930325089at_nat] : A6 ) )
% 3.29/3.51            & ! [X4: set_Pr1261947904930325089at_nat] :
% 3.29/3.51                ( ( member2643936169264416010at_nat @ X4 @ A6 )
% 3.29/3.51               => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ X4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_def
% 3.29/3.51  thf(fact_1942_refl__on__def,axiom,
% 3.29/3.51      ( refl_on_int
% 3.29/3.51      = ( ^ [A6: set_int,R5: set_Pr958786334691620121nt_int] :
% 3.29/3.51            ( ( ord_le2843351958646193337nt_int @ R5
% 3.29/3.51              @ ( produc1453890548195736866nt_int @ A6
% 3.29/3.51                @ ^ [Uu: int] : A6 ) )
% 3.29/3.51            & ! [X4: int] :
% 3.29/3.51                ( ( member_int @ X4 @ A6 )
% 3.29/3.51               => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ X4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_def
% 3.29/3.51  thf(fact_1943_refl__on__def,axiom,
% 3.29/3.51      ( refl_on_nat
% 3.29/3.51      = ( ^ [A6: set_nat,R5: set_Pr1261947904930325089at_nat] :
% 3.29/3.51            ( ( ord_le3146513528884898305at_nat @ R5
% 3.29/3.51              @ ( produc457027306803732586at_nat @ A6
% 3.29/3.51                @ ^ [Uu: nat] : A6 ) )
% 3.29/3.51            & ! [X4: nat] :
% 3.29/3.51                ( ( member_nat @ X4 @ A6 )
% 3.29/3.51               => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ X4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_def
% 3.29/3.51  thf(fact_1944_image__insert,axiom,
% 3.29/3.51      ! [F: int > int,A: int,B5: set_int] :
% 3.29/3.51        ( ( image_int_int @ F @ ( insert_int @ A @ B5 ) )
% 3.29/3.51        = ( insert_int @ ( F @ A ) @ ( image_int_int @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1945_image__insert,axiom,
% 3.29/3.51      ! [F: int > nat,A: int,B5: set_int] :
% 3.29/3.51        ( ( image_int_nat @ F @ ( insert_int @ A @ B5 ) )
% 3.29/3.51        = ( insert_nat @ ( F @ A ) @ ( image_int_nat @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1946_image__insert,axiom,
% 3.29/3.51      ! [F: nat > rat,A: nat,B5: set_nat] :
% 3.29/3.51        ( ( image_nat_rat @ F @ ( insert_nat @ A @ B5 ) )
% 3.29/3.51        = ( insert_rat @ ( F @ A ) @ ( image_nat_rat @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1947_image__insert,axiom,
% 3.29/3.51      ! [F: nat > int,A: nat,B5: set_nat] :
% 3.29/3.51        ( ( image_nat_int @ F @ ( insert_nat @ A @ B5 ) )
% 3.29/3.51        = ( insert_int @ ( F @ A ) @ ( image_nat_int @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1948_image__insert,axiom,
% 3.29/3.51      ! [F: nat > nat,A: nat,B5: set_nat] :
% 3.29/3.51        ( ( image_nat_nat @ F @ ( insert_nat @ A @ B5 ) )
% 3.29/3.51        = ( insert_nat @ ( F @ A ) @ ( image_nat_nat @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1949_image__insert,axiom,
% 3.29/3.51      ! [F: nat > product_unit,A: nat,B5: set_nat] :
% 3.29/3.51        ( ( image_8730104196221521654t_unit @ F @ ( insert_nat @ A @ B5 ) )
% 3.29/3.51        = ( insert_Product_unit @ ( F @ A ) @ ( image_8730104196221521654t_unit @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1950_image__insert,axiom,
% 3.29/3.51      ! [F: nat > $o,A: nat,B5: set_nat] :
% 3.29/3.51        ( ( image_nat_o @ F @ ( insert_nat @ A @ B5 ) )
% 3.29/3.51        = ( insert_o @ ( F @ A ) @ ( image_nat_o @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1951_image__insert,axiom,
% 3.29/3.51      ! [F: product_unit > nat,A: product_unit,B5: set_Product_unit] :
% 3.29/3.51        ( ( image_875570014554754200it_nat @ F @ ( insert_Product_unit @ A @ B5 ) )
% 3.29/3.51        = ( insert_nat @ ( F @ A ) @ ( image_875570014554754200it_nat @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1952_image__insert,axiom,
% 3.29/3.51      ! [F: product_unit > product_unit,A: product_unit,B5: set_Product_unit] :
% 3.29/3.51        ( ( image_405062704495631173t_unit @ F @ ( insert_Product_unit @ A @ B5 ) )
% 3.29/3.51        = ( insert_Product_unit @ ( F @ A ) @ ( image_405062704495631173t_unit @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1953_image__insert,axiom,
% 3.29/3.51      ! [F: product_unit > $o,A: product_unit,B5: set_Product_unit] :
% 3.29/3.51        ( ( image_Product_unit_o @ F @ ( insert_Product_unit @ A @ B5 ) )
% 3.29/3.51        = ( insert_o @ ( F @ A ) @ ( image_Product_unit_o @ F @ B5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_insert
% 3.29/3.51  thf(fact_1954_insert__image,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,F: $o > nat] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_nat @ ( F @ X2 ) @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.51          = ( image_o_nat @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1955_insert__image,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,F: $o > product_unit] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_Product_unit @ ( F @ X2 ) @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51          = ( image_o_Product_unit @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1956_insert__image,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,F: $o > $o] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_o @ ( F @ X2 ) @ ( image_o_o @ F @ A4 ) )
% 3.29/3.51          = ( image_o_o @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1957_insert__image,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,F: nat > rat] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_rat @ ( F @ X2 ) @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.51          = ( image_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1958_insert__image,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,F: nat > int] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_int @ ( F @ X2 ) @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.51          = ( image_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1959_insert__image,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,F: nat > nat] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_nat @ ( F @ X2 ) @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.51          = ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1960_insert__image,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,F: nat > product_unit] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_Product_unit @ ( F @ X2 ) @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51          = ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1961_insert__image,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,F: nat > $o] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_o @ ( F @ X2 ) @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.51          = ( image_nat_o @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1962_insert__image,axiom,
% 3.29/3.51      ! [X2: int,A4: set_int,F: int > int] :
% 3.29/3.51        ( ( member_int @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_int @ ( F @ X2 ) @ ( image_int_int @ F @ A4 ) )
% 3.29/3.51          = ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1963_insert__image,axiom,
% 3.29/3.51      ! [X2: int,A4: set_int,F: int > nat] :
% 3.29/3.51        ( ( member_int @ X2 @ A4 )
% 3.29/3.51       => ( ( insert_nat @ ( F @ X2 ) @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.51          = ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_image
% 3.29/3.51  thf(fact_1964_SUP__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat
% 3.29/3.51          @ ( image_nat_nat
% 3.29/3.51            @ ^ [X4: nat] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_identity_eq
% 3.29/3.51  thf(fact_1965_SUP__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_7916887816326733075et_nat
% 3.29/3.51            @ ^ [X4: set_nat] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_identity_eq
% 3.29/3.51  thf(fact_1966_SUP__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_int] :
% 3.29/3.51        ( ( complete_Sup_Sup_int
% 3.29/3.51          @ ( image_int_int
% 3.29/3.51            @ ^ [X4: int] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( complete_Sup_Sup_int @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_identity_eq
% 3.29/3.51  thf(fact_1967_SUP__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_Product_unit] :
% 3.29/3.51        ( ( comple4687483117567863418t_unit
% 3.29/3.51          @ ( image_405062704495631173t_unit
% 3.29/3.51            @ ^ [X4: product_unit] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple4687483117567863418t_unit @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_identity_eq
% 3.29/3.51  thf(fact_1968_INF__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat
% 3.29/3.51          @ ( image_nat_nat
% 3.29/3.51            @ ^ [X4: nat] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_identity_eq
% 3.29/3.51  thf(fact_1969_INF__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_set_nat] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_7916887816326733075et_nat
% 3.29/3.51            @ ^ [X4: set_nat] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_identity_eq
% 3.29/3.51  thf(fact_1970_INF__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_int] :
% 3.29/3.51        ( ( complete_Inf_Inf_int
% 3.29/3.51          @ ( image_int_int
% 3.29/3.51            @ ^ [X4: int] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( complete_Inf_Inf_int @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_identity_eq
% 3.29/3.51  thf(fact_1971_INF__identity__eq,axiom,
% 3.29/3.51      ! [A4: set_Product_unit] :
% 3.29/3.51        ( ( comple2584293577114468500t_unit
% 3.29/3.51          @ ( image_405062704495631173t_unit
% 3.29/3.51            @ ^ [X4: product_unit] : X4
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple2584293577114468500t_unit @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_identity_eq
% 3.29/3.51  thf(fact_1972_UN__I,axiom,
% 3.29/3.51      ! [A: $o,A4: set_o,B: $o,B5: $o > set_o] :
% 3.29/3.51        ( ( member_o @ A @ A4 )
% 3.29/3.51       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1973_UN__I,axiom,
% 3.29/3.51      ! [A: $o,A4: set_o,B: int,B5: $o > set_int] :
% 3.29/3.51        ( ( member_o @ A @ A4 )
% 3.29/3.51       => ( ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_int @ B @ ( comple3221217463730067765et_int @ ( image_o_set_int @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1974_UN__I,axiom,
% 3.29/3.51      ! [A: nat,A4: set_nat,B: $o,B5: nat > set_o] :
% 3.29/3.51        ( ( member_nat @ A @ A4 )
% 3.29/3.51       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1975_UN__I,axiom,
% 3.29/3.51      ! [A: nat,A4: set_nat,B: int,B5: nat > set_int] :
% 3.29/3.51        ( ( member_nat @ A @ A4 )
% 3.29/3.51       => ( ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_int @ B @ ( comple3221217463730067765et_int @ ( image_nat_set_int @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1976_UN__I,axiom,
% 3.29/3.51      ! [A: int,A4: set_int,B: $o,B5: int > set_o] :
% 3.29/3.51        ( ( member_int @ A @ A4 )
% 3.29/3.51       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_int_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1977_UN__I,axiom,
% 3.29/3.51      ! [A: int,A4: set_int,B: int,B5: int > set_int] :
% 3.29/3.51        ( ( member_int @ A @ A4 )
% 3.29/3.51       => ( ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_int @ B @ ( comple3221217463730067765et_int @ ( image_int_set_int @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1978_UN__I,axiom,
% 3.29/3.51      ! [A: $o,A4: set_o,B: nat,B5: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ A @ A4 )
% 3.29/3.51       => ( ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_nat @ B @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1979_UN__I,axiom,
% 3.29/3.51      ! [A: nat,A4: set_nat,B: nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ A @ A4 )
% 3.29/3.51       => ( ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_nat @ B @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1980_UN__I,axiom,
% 3.29/3.51      ! [A: int,A4: set_int,B: nat,B5: int > set_nat] :
% 3.29/3.51        ( ( member_int @ A @ A4 )
% 3.29/3.51       => ( ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_nat @ B @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1981_UN__I,axiom,
% 3.29/3.51      ! [A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B: $o,B5: product_prod_nat_nat > set_o] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.51       => ( ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_501298686397505212_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_I
% 3.29/3.51  thf(fact_1982_INT__I,axiom,
% 3.29/3.51      ! [A4: set_o,B: $o,B5: $o > set_o] :
% 3.29/3.51        ( ! [X: $o] :
% 3.29/3.51            ( ( member_o @ X @ A4 )
% 3.29/3.51           => ( member_o @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_o_set_o @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1983_INT__I,axiom,
% 3.29/3.51      ! [A4: set_o,B: int,B5: $o > set_int] :
% 3.29/3.51        ( ! [X: $o] :
% 3.29/3.51            ( ( member_o @ X @ A4 )
% 3.29/3.51           => ( member_int @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1984_INT__I,axiom,
% 3.29/3.51      ! [A4: set_nat,B: $o,B5: nat > set_o] :
% 3.29/3.51        ( ! [X: nat] :
% 3.29/3.51            ( ( member_nat @ X @ A4 )
% 3.29/3.51           => ( member_o @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1985_INT__I,axiom,
% 3.29/3.51      ! [A4: set_nat,B: int,B5: nat > set_int] :
% 3.29/3.51        ( ! [X: nat] :
% 3.29/3.51            ( ( member_nat @ X @ A4 )
% 3.29/3.51           => ( member_int @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1986_INT__I,axiom,
% 3.29/3.51      ! [A4: set_int,B: $o,B5: int > set_o] :
% 3.29/3.51        ( ! [X: int] :
% 3.29/3.51            ( ( member_int @ X @ A4 )
% 3.29/3.51           => ( member_o @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_int_set_o @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1987_INT__I,axiom,
% 3.29/3.51      ! [A4: set_int,B: int,B5: int > set_int] :
% 3.29/3.51        ( ! [X: int] :
% 3.29/3.51            ( ( member_int @ X @ A4 )
% 3.29/3.51           => ( member_int @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_int_set_int @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1988_INT__I,axiom,
% 3.29/3.51      ! [A4: set_o,B: nat,B5: $o > set_nat] :
% 3.29/3.51        ( ! [X: $o] :
% 3.29/3.51            ( ( member_o @ X @ A4 )
% 3.29/3.51           => ( member_nat @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1989_INT__I,axiom,
% 3.29/3.51      ! [A4: set_nat,B: nat,B5: nat > set_nat] :
% 3.29/3.51        ( ! [X: nat] :
% 3.29/3.51            ( ( member_nat @ X @ A4 )
% 3.29/3.51           => ( member_nat @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1990_INT__I,axiom,
% 3.29/3.51      ! [A4: set_int,B: nat,B5: int > set_nat] :
% 3.29/3.51        ( ! [X: int] :
% 3.29/3.51            ( ( member_int @ X @ A4 )
% 3.29/3.51           => ( member_nat @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1991_INT__I,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,B: $o,B5: product_prod_nat_nat > set_o] :
% 3.29/3.51        ( ! [X: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51           => ( member_o @ B @ ( B5 @ X ) ) )
% 3.29/3.51       => ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_501298686397505212_set_o @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_I
% 3.29/3.51  thf(fact_1992_SUP__id__eq,axiom,
% 3.29/3.51      ! [A4: set_o] :
% 3.29/3.51        ( ( complete_Sup_Sup_o @ ( image_o_o @ id_o @ A4 ) )
% 3.29/3.51        = ( complete_Sup_Sup_o @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_id_eq
% 3.29/3.51  thf(fact_1993_SUP__id__eq,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ id_nat @ A4 ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_id_eq
% 3.29/3.51  thf(fact_1994_SUP__id__eq,axiom,
% 3.29/3.51      ! [A4: set_set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ id_set_nat @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_id_eq
% 3.29/3.51  thf(fact_1995_SUP__id__eq,axiom,
% 3.29/3.51      ! [A4: set_int] :
% 3.29/3.51        ( ( complete_Sup_Sup_int @ ( image_int_int @ id_int @ A4 ) )
% 3.29/3.51        = ( complete_Sup_Sup_int @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_id_eq
% 3.29/3.51  thf(fact_1996_SUP__id__eq,axiom,
% 3.29/3.51      ! [A4: set_Product_unit] :
% 3.29/3.51        ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ id_Product_unit @ A4 ) )
% 3.29/3.51        = ( comple4687483117567863418t_unit @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_id_eq
% 3.29/3.51  thf(fact_1997_INF__id__eq,axiom,
% 3.29/3.51      ! [A4: set_o] :
% 3.29/3.51        ( ( complete_Inf_Inf_o @ ( image_o_o @ id_o @ A4 ) )
% 3.29/3.51        = ( complete_Inf_Inf_o @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_id_eq
% 3.29/3.51  thf(fact_1998_INF__id__eq,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat @ ( image_nat_nat @ id_nat @ A4 ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_id_eq
% 3.29/3.51  thf(fact_1999_INF__id__eq,axiom,
% 3.29/3.51      ! [A4: set_set_nat] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat @ ( image_7916887816326733075et_nat @ id_set_nat @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_id_eq
% 3.29/3.51  thf(fact_2000_INF__id__eq,axiom,
% 3.29/3.51      ! [A4: set_int] :
% 3.29/3.51        ( ( complete_Inf_Inf_int @ ( image_int_int @ id_int @ A4 ) )
% 3.29/3.51        = ( complete_Inf_Inf_int @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_id_eq
% 3.29/3.51  thf(fact_2001_INF__id__eq,axiom,
% 3.29/3.51      ! [A4: set_Product_unit] :
% 3.29/3.51        ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ id_Product_unit @ A4 ) )
% 3.29/3.51        = ( comple2584293577114468500t_unit @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_id_eq
% 3.29/3.51  thf(fact_2002_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_8173849991827986510et_nat
% 3.29/3.51              @ ^ [I2: product_unit] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2003_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_3160451284896210088et_nat
% 3.29/3.51              @ ^ [I2: produc3843707927480180839at_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2004_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_15824709712370754et_nat
% 3.29/3.51              @ ^ [I2: product_prod_nat_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2005_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_o,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_o )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_o_set_nat
% 3.29/3.51              @ ^ [I2: $o] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2006_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_nat,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_nat_set_nat
% 3.29/3.51              @ ^ [I2: nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2007_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ( comple4687483117567863418t_unit
% 3.29/3.51            @ ( image_405062704495631173t_unit
% 3.29/3.51              @ ^ [I2: product_unit] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2008_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ( comple4687483117567863418t_unit
% 3.29/3.51            @ ( image_7082456443403096939t_unit
% 3.29/3.51              @ ^ [I2: produc3843707927480180839at_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2009_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ( comple4687483117567863418t_unit
% 3.29/3.51            @ ( image_6169909464789311569t_unit
% 3.29/3.51              @ ^ [I2: product_prod_nat_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2010_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_o,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bot_set_o )
% 3.29/3.51       => ( ( comple4687483117567863418t_unit
% 3.29/3.51            @ ( image_o_Product_unit
% 3.29/3.51              @ ^ [I2: $o] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2011_SUP__const,axiom,
% 3.29/3.51      ! [A4: set_nat,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ( comple4687483117567863418t_unit
% 3.29/3.51            @ ( image_8730104196221521654t_unit
% 3.29/3.51              @ ^ [I2: nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_const
% 3.29/3.51  thf(fact_2012_INF__const,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_8173849991827986510et_nat
% 3.29/3.51              @ ^ [I2: product_unit] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2013_INF__const,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_3160451284896210088et_nat
% 3.29/3.51              @ ^ [I2: produc3843707927480180839at_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2014_INF__const,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_15824709712370754et_nat
% 3.29/3.51              @ ^ [I2: product_prod_nat_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2015_INF__const,axiom,
% 3.29/3.51      ! [A4: set_o,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_o )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_o_set_nat
% 3.29/3.51              @ ^ [I2: $o] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2016_INF__const,axiom,
% 3.29/3.51      ! [A4: set_nat,F: set_nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_nat_set_nat
% 3.29/3.51              @ ^ [I2: nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2017_INF__const,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ( comple2584293577114468500t_unit
% 3.29/3.51            @ ( image_405062704495631173t_unit
% 3.29/3.51              @ ^ [I2: product_unit] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2018_INF__const,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ( comple2584293577114468500t_unit
% 3.29/3.51            @ ( image_7082456443403096939t_unit
% 3.29/3.51              @ ^ [I2: produc3843707927480180839at_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2019_INF__const,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ( comple2584293577114468500t_unit
% 3.29/3.51            @ ( image_6169909464789311569t_unit
% 3.29/3.51              @ ^ [I2: product_prod_nat_nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2020_INF__const,axiom,
% 3.29/3.51      ! [A4: set_o,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bot_set_o )
% 3.29/3.51       => ( ( comple2584293577114468500t_unit
% 3.29/3.51            @ ( image_o_Product_unit
% 3.29/3.51              @ ^ [I2: $o] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2021_INF__const,axiom,
% 3.29/3.51      ! [A4: set_nat,F: product_unit] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ( comple2584293577114468500t_unit
% 3.29/3.51            @ ( image_8730104196221521654t_unit
% 3.29/3.51              @ ^ [I2: nat] : F
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = F ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_const
% 3.29/3.51  thf(fact_2022_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_Product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_7778121751606633509t_unit
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_7778121751606633509t_unit
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2023_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_o] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_6930536745178679216_set_o
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_6930536745178679216_set_o
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2024_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_o,C: set_Product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_663195431845683034t_unit
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_663195431845683034t_unit
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2025_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_o,C: set_o] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_o_set_o
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_o_set_o
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2026_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_nat,C: set_Product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_4824033694279209942t_unit
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_4824033694279209942t_unit
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2027_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_nat,C: set_o] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_nat_set_o
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_nat_set_o
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2028_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2029_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_o,C: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_o_set_nat
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_o_set_nat
% 3.29/3.51                @ ^ [Y5: $o] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2030_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_nat,C: set_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_nat_set_nat
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_nat_set_nat
% 3.29/3.51                @ ^ [Y5: nat] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2031_UN__constant,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple5685304695842803022at_nat
% 3.29/3.51              @ ( image_3617315916088684441at_nat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = bot_bo2099793752762293965at_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple5685304695842803022at_nat
% 3.29/3.51              @ ( image_3617315916088684441at_nat
% 3.29/3.51                @ ^ [Y5: product_unit] : C
% 3.29/3.51                @ A4 ) )
% 3.29/3.51            = C ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_constant
% 3.29/3.51  thf(fact_2032_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: product_unit,B5: product_unit > set_Product_unit] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_7778121751606633509t_unit
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_7778121751606633509t_unit
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2033_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: $o,B5: product_unit > set_o] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_6930536745178679216_set_o
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_6930536745178679216_set_o
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2034_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_o,A: product_unit,B5: $o > set_Product_unit] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_663195431845683034t_unit
% 3.29/3.51                @ ^ [X4: $o] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_663195431845683034t_unit
% 3.29/3.51                @ ^ [X4: $o] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2035_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_o,A: $o,B5: $o > set_o] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_o_set_o
% 3.29/3.51                @ ^ [X4: $o] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_o_set_o
% 3.29/3.51                @ ^ [X4: $o] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2036_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_nat,A: product_unit,B5: nat > set_Product_unit] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_4824033694279209942t_unit
% 3.29/3.51                @ ^ [X4: nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_4824033694279209942t_unit
% 3.29/3.51                @ ^ [X4: nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2037_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_nat,A: $o,B5: nat > set_o] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_nat_set_o
% 3.29/3.51                @ ^ [X4: nat] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_nat_set_o
% 3.29/3.51                @ ^ [X4: nat] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2038_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: nat,B5: product_unit > set_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2039_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_o,A: nat,B5: $o > set_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_o_set_nat
% 3.29/3.51                @ ^ [X4: $o] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_o )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_o_set_nat
% 3.29/3.51                @ ^ [X4: $o] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2040_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_nat,A: nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_nat_set_nat
% 3.29/3.51                @ ^ [X4: nat] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_nat_set_nat
% 3.29/3.51                @ ^ [X4: nat] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2041_UN__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: product_prod_nat_nat,B5: product_unit > set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple5685304695842803022at_nat
% 3.29/3.51              @ ( image_3617315916088684441at_nat
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert8211810215607154385at_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = bot_bo2099793752762293965at_nat ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( comple5685304695842803022at_nat
% 3.29/3.51              @ ( image_3617315916088684441at_nat
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert8211810215607154385at_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) )
% 3.29/3.51            = ( insert8211810215607154385at_nat @ A @ ( comple5685304695842803022at_nat @ ( image_3617315916088684441at_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_simps(1)
% 3.29/3.51  thf(fact_2042_UN__singleton,axiom,
% 3.29/3.51      ! [A4: set_Product_unit] :
% 3.29/3.51        ( ( comple3349607820504768346t_unit
% 3.29/3.51          @ ( image_7778121751606633509t_unit
% 3.29/3.51            @ ^ [X4: product_unit] : ( insert_Product_unit @ X4 @ bot_bo3957492148770167129t_unit )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = A4 ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_singleton
% 3.29/3.51  thf(fact_2043_UN__singleton,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( comple4364388969068068532at_nat
% 3.29/3.51          @ ( image_7364710425340685989at_nat
% 3.29/3.51            @ ^ [X4: produc3843707927480180839at_nat] : ( insert9069300056098147895at_nat @ X4 @ bot_bo228742789529271731at_nat )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = A4 ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_singleton
% 3.29/3.51  thf(fact_2044_UN__singleton,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( comple5685304695842803022at_nat
% 3.29/3.51          @ ( image_5423882813909314213at_nat
% 3.29/3.51            @ ^ [X4: product_prod_nat_nat] : ( insert8211810215607154385at_nat @ X4 @ bot_bo2099793752762293965at_nat )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = A4 ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_singleton
% 3.29/3.51  thf(fact_2045_UN__singleton,axiom,
% 3.29/3.51      ! [A4: set_o] :
% 3.29/3.51        ( ( comple90263536869209701_set_o
% 3.29/3.51          @ ( image_o_set_o
% 3.29/3.51            @ ^ [X4: $o] : ( insert_o @ X4 @ bot_bot_set_o )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = A4 ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_singleton
% 3.29/3.51  thf(fact_2046_UN__singleton,axiom,
% 3.29/3.51      ! [A4: set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [X4: nat] : ( insert_nat @ X4 @ bot_bot_set_nat )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = A4 ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_singleton
% 3.29/3.51  thf(fact_2047_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: set_Pr4329608150637261639at_nat] : ( refl_o6272981002401706822at_nat @ ( insert2290795007606087959at_nat @ X2 @ bot_bo1534825418459847827at_nat ) @ ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ X2 @ X2 ) @ bot_bo4948859079157340979at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2048_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: int] : ( refl_on_int @ ( insert_int @ X2 @ bot_bot_set_int ) @ ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ X2 @ X2 ) @ bot_bo1796632182523588997nt_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2049_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: set_Pr1261947904930325089at_nat] : ( refl_o6955724340487615712at_nat @ ( insert9200635055090092081at_nat @ X2 @ bot_bo3083307316010499117at_nat ) @ ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ X2 @ X2 ) @ bot_bo228742789529271731at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2050_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: product_unit] : ( refl_on_Product_unit @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) @ ( insert4616891024742550839t_unit @ ( produc5692694829384537815t_unit @ X2 @ X2 ) @ bot_bo1654022762305692595t_unit ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2051_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: produc3843707927480180839at_nat] : ( refl_o7446464703481863270at_nat @ ( insert9069300056098147895at_nat @ X2 @ bot_bo228742789529271731at_nat ) @ ( insert398606708087465655at_nat @ ( produc2335810615602371415at_nat @ X2 @ X2 ) @ bot_bo7193250159860175667at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2052_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: product_prod_nat_nat] : ( refl_o7122697186039111552at_nat @ ( insert8211810215607154385at_nat @ X2 @ bot_bo2099793752762293965at_nat ) @ ( insert5050368324300391991at_nat @ ( produc6161850002892822231at_nat @ X2 @ X2 ) @ bot_bo5327735625951526323at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2053_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: $o] : ( refl_on_o @ ( insert_o @ X2 @ bot_bot_set_o ) @ ( insert6201435330877294327od_o_o @ ( product_Pair_o_o @ X2 @ X2 ) @ bot_bo7073875226086086771od_o_o ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2054_refl__on__singleton,axiom,
% 3.29/3.51      ! [X2: nat] : ( refl_on_nat @ ( insert_nat @ X2 @ bot_bot_set_nat ) @ ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ X2 @ X2 ) @ bot_bo2099793752762293965at_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_on_singleton
% 3.29/3.51  thf(fact_2055_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: $o,A4: set_o,A: product_unit,B5: $o > set_Product_unit] :
% 3.29/3.51        ( ( member_o @ U @ A4 )
% 3.29/3.51       => ( ( comple7216939928495492468t_unit
% 3.29/3.51            @ ( image_663195431845683034t_unit
% 3.29/3.51              @ ^ [X4: $o] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple7216939928495492468t_unit @ ( image_663195431845683034t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2056_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: $o,A4: set_o,A: $o,B5: $o > set_o] :
% 3.29/3.51        ( ( member_o @ U @ A4 )
% 3.29/3.51       => ( ( comple3063163877087187839_set_o
% 3.29/3.51            @ ( image_o_set_o
% 3.29/3.51              @ ^ [X4: $o] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_o @ A @ ( comple3063163877087187839_set_o @ ( image_o_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2057_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: nat,A4: set_nat,A: product_unit,B5: nat > set_Product_unit] :
% 3.29/3.51        ( ( member_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple7216939928495492468t_unit
% 3.29/3.51            @ ( image_4824033694279209942t_unit
% 3.29/3.51              @ ^ [X4: nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple7216939928495492468t_unit @ ( image_4824033694279209942t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2058_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: nat,A4: set_nat,A: $o,B5: nat > set_o] :
% 3.29/3.51        ( ( member_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple3063163877087187839_set_o
% 3.29/3.51            @ ( image_nat_set_o
% 3.29/3.51              @ ^ [X4: nat] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_o @ A @ ( comple3063163877087187839_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2059_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: int,A4: set_int,A: product_unit,B5: int > set_Product_unit] :
% 3.29/3.51        ( ( member_int @ U @ A4 )
% 3.29/3.51       => ( ( comple7216939928495492468t_unit
% 3.29/3.51            @ ( image_8658272795163236474t_unit
% 3.29/3.51              @ ^ [X4: int] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple7216939928495492468t_unit @ ( image_8658272795163236474t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2060_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: int,A4: set_int,A: $o,B5: int > set_o] :
% 3.29/3.51        ( ( member_int @ U @ A4 )
% 3.29/3.51       => ( ( comple3063163877087187839_set_o
% 3.29/3.51            @ ( image_int_set_o
% 3.29/3.51              @ ^ [X4: int] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_o @ A @ ( comple3063163877087187839_set_o @ ( image_int_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2061_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: $o,A4: set_o,A: nat,B5: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ U @ A4 )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_o_set_nat
% 3.29/3.51              @ ^ [X4: $o] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_nat @ A @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2062_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: nat,A4: set_nat,A: nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_nat_set_nat
% 3.29/3.51              @ ^ [X4: nat] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_nat @ A @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2063_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: int,A4: set_int,A: nat,B5: int > set_nat] :
% 3.29/3.51        ( ( member_int @ U @ A4 )
% 3.29/3.51       => ( ( comple7806235888213564991et_nat
% 3.29/3.51            @ ( image_int_set_nat
% 3.29/3.51              @ ^ [X4: int] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_nat @ A @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2064_INT__insert__distrib,axiom,
% 3.29/3.51      ! [U: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,A: product_unit,B5: product_prod_nat_nat > set_Product_unit] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple7216939928495492468t_unit
% 3.29/3.51            @ ( image_121980125215734065t_unit
% 3.29/3.51              @ ^ [X4: product_prod_nat_nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple7216939928495492468t_unit @ ( image_121980125215734065t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_insert_distrib
% 3.29/3.51  thf(fact_2065_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: $o,A4: set_o,A: product_unit,B5: $o > set_Product_unit] :
% 3.29/3.51        ( ( member_o @ U @ A4 )
% 3.29/3.51       => ( ( comple3349607820504768346t_unit
% 3.29/3.51            @ ( image_663195431845683034t_unit
% 3.29/3.51              @ ^ [X4: $o] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2066_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: $o,A4: set_o,A: $o,B5: $o > set_o] :
% 3.29/3.51        ( ( member_o @ U @ A4 )
% 3.29/3.51       => ( ( comple90263536869209701_set_o
% 3.29/3.51            @ ( image_o_set_o
% 3.29/3.51              @ ^ [X4: $o] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2067_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: nat,A4: set_nat,A: product_unit,B5: nat > set_Product_unit] :
% 3.29/3.51        ( ( member_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple3349607820504768346t_unit
% 3.29/3.51            @ ( image_4824033694279209942t_unit
% 3.29/3.51              @ ^ [X4: nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2068_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: nat,A4: set_nat,A: $o,B5: nat > set_o] :
% 3.29/3.51        ( ( member_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple90263536869209701_set_o
% 3.29/3.51            @ ( image_nat_set_o
% 3.29/3.51              @ ^ [X4: nat] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2069_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: int,A4: set_int,A: product_unit,B5: int > set_Product_unit] :
% 3.29/3.51        ( ( member_int @ U @ A4 )
% 3.29/3.51       => ( ( comple3349607820504768346t_unit
% 3.29/3.51            @ ( image_8658272795163236474t_unit
% 3.29/3.51              @ ^ [X4: int] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_8658272795163236474t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2070_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: int,A4: set_int,A: $o,B5: int > set_o] :
% 3.29/3.51        ( ( member_int @ U @ A4 )
% 3.29/3.51       => ( ( comple90263536869209701_set_o
% 3.29/3.51            @ ( image_int_set_o
% 3.29/3.51              @ ^ [X4: int] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_int_set_o @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2071_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: $o,A4: set_o,A: nat,B5: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ U @ A4 )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_o_set_nat
% 3.29/3.51              @ ^ [X4: $o] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2072_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: nat,A4: set_nat,A: nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_nat_set_nat
% 3.29/3.51              @ ^ [X4: nat] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2073_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: int,A4: set_int,A: nat,B5: int > set_nat] :
% 3.29/3.51        ( ( member_int @ U @ A4 )
% 3.29/3.51       => ( ( comple7399068483239264473et_nat
% 3.29/3.51            @ ( image_int_set_nat
% 3.29/3.51              @ ^ [X4: int] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2074_UN__insert__distrib,axiom,
% 3.29/3.51      ! [U: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,A: product_unit,B5: product_prod_nat_nat > set_Product_unit] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ U @ A4 )
% 3.29/3.51       => ( ( comple3349607820504768346t_unit
% 3.29/3.51            @ ( image_121980125215734065t_unit
% 3.29/3.51              @ ^ [X4: product_prod_nat_nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51              @ A4 ) )
% 3.29/3.51          = ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_121980125215734065t_unit @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_insert_distrib
% 3.29/3.51  thf(fact_2075_Sigma__Union,axiom,
% 3.29/3.51      ! [X5: set_set_nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( produc457027306803732586at_nat @ ( comple7399068483239264473et_nat @ X5 ) @ B5 )
% 3.29/3.51        = ( comple5685304695842803022at_nat
% 3.29/3.51          @ ( image_6521575952113991828at_nat
% 3.29/3.51            @ ^ [A6: set_nat] : ( produc457027306803732586at_nat @ A6 @ B5 )
% 3.29/3.51            @ X5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_Union
% 3.29/3.51  thf(fact_2076_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > nat,D: nat > nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Inf_Inf_nat @ ( image_nat_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Inf_Inf_nat @ ( image_nat_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2077_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,C3: int > nat,D: int > nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Inf_Inf_nat @ ( image_int_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Inf_Inf_nat @ ( image_int_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2078_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: $o > int,D: $o > int] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Inf_Inf_int @ ( image_o_int @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Inf_Inf_int @ ( image_o_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2079_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > int,D: nat > int] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Inf_Inf_int @ ( image_nat_int @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Inf_Inf_int @ ( image_nat_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2080_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,C3: int > int,D: int > int] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Inf_Inf_int @ ( image_int_int @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Inf_Inf_int @ ( image_int_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2081_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: $o > product_unit,D: $o > product_unit] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ C3 @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2082_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > product_unit,D: nat > product_unit] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ C3 @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2083_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,C3: int > product_unit,D: int > product_unit] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ C3 @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2084_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: $o > set_nat,D: $o > set_nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( comple7806235888213564991et_nat @ ( image_o_set_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2085_INF__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > set_nat,D: nat > set_nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_cong
% 3.29/3.51  thf(fact_2086_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > nat,D: nat > nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Sup_Sup_nat @ ( image_nat_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2087_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,C3: int > nat,D: int > nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Sup_Sup_nat @ ( image_int_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Sup_Sup_nat @ ( image_int_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2088_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: $o > int,D: $o > int] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Sup_Sup_int @ ( image_o_int @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Sup_Sup_int @ ( image_o_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2089_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > int,D: nat > int] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Sup_Sup_int @ ( image_nat_int @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Sup_Sup_int @ ( image_nat_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2090_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,C3: int > int,D: int > int] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( complete_Sup_Sup_int @ ( image_int_int @ C3 @ A4 ) )
% 3.29/3.51            = ( complete_Sup_Sup_int @ ( image_int_int @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2091_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: $o > product_unit,D: $o > product_unit] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ C3 @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2092_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > product_unit,D: nat > product_unit] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ C3 @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2093_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,C3: int > product_unit,D: int > product_unit] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ C3 @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2094_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,C3: $o > set_nat,D: $o > set_nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( comple7399068483239264473et_nat @ ( image_o_set_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2095_SUP__cong,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,C3: nat > set_nat,D: nat > set_nat] :
% 3.29/3.51        ( ( A4 = B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ B5 )
% 3.29/3.51             => ( ( C3 @ X )
% 3.29/3.51                = ( D @ X ) ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ C3 @ A4 ) )
% 3.29/3.51            = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ D @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_cong
% 3.29/3.51  thf(fact_2096_insert__subsetI,axiom,
% 3.29/3.51      ! [X2: product_unit,A4: set_Product_unit,X5: set_Product_unit] :
% 3.29/3.51        ( ( member_Product_unit @ X2 @ A4 )
% 3.29/3.51       => ( ( ord_le3507040750410214029t_unit @ X5 @ A4 )
% 3.29/3.51         => ( ord_le3507040750410214029t_unit @ ( insert_Product_unit @ X2 @ X5 ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_subsetI
% 3.29/3.51  thf(fact_2097_insert__subsetI,axiom,
% 3.29/3.51      ! [X2: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,X5: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( ord_le1268244103169919719at_nat @ X5 @ A4 )
% 3.29/3.51         => ( ord_le1268244103169919719at_nat @ ( insert9069300056098147895at_nat @ X2 @ X5 ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_subsetI
% 3.29/3.51  thf(fact_2098_insert__subsetI,axiom,
% 3.29/3.51      ! [X2: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,X5: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( ord_le3146513528884898305at_nat @ X5 @ A4 )
% 3.29/3.51         => ( ord_le3146513528884898305at_nat @ ( insert8211810215607154385at_nat @ X2 @ X5 ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_subsetI
% 3.29/3.51  thf(fact_2099_insert__subsetI,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,X5: set_o] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_o @ X5 @ A4 )
% 3.29/3.51         => ( ord_less_eq_set_o @ ( insert_o @ X2 @ X5 ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_subsetI
% 3.29/3.51  thf(fact_2100_insert__subsetI,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,X5: set_nat] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ X5 @ A4 )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( insert_nat @ X2 @ X5 ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_subsetI
% 3.29/3.51  thf(fact_2101_insert__subsetI,axiom,
% 3.29/3.51      ! [X2: int,A4: set_int,X5: set_int] :
% 3.29/3.51        ( ( member_int @ X2 @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_int @ X5 @ A4 )
% 3.29/3.51         => ( ord_less_eq_set_int @ ( insert_int @ X2 @ X5 ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % insert_subsetI
% 3.29/3.51  thf(fact_2102_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: product_unit,B5: product_unit > set_Product_unit] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_7778121751606633509t_unit
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2103_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: $o,B5: product_unit > set_o] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_o @ A @ bot_bot_set_o ) ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_6930536745178679216_set_o
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2104_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_o,A: product_unit,B5: $o > set_Product_unit] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.51         => ( ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_o )
% 3.29/3.51         => ( ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_663195431845683034t_unit
% 3.29/3.51                @ ^ [X4: $o] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2105_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_o,A: $o,B5: $o > set_o] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.51         => ( ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_o @ A @ bot_bot_set_o ) ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_o )
% 3.29/3.51         => ( ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_o_set_o
% 3.29/3.51                @ ^ [X4: $o] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2106_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_nat,A: product_unit,B5: nat > set_Product_unit] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.51         => ( ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.51         => ( ( insert_Product_unit @ A @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple3349607820504768346t_unit
% 3.29/3.51              @ ( image_4824033694279209942t_unit
% 3.29/3.51                @ ^ [X4: nat] : ( insert_Product_unit @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2107_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_nat,A: $o,B5: nat > set_o] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.51         => ( ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_o @ A @ bot_bot_set_o ) ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.51         => ( ( insert_o @ A @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple90263536869209701_set_o
% 3.29/3.51              @ ( image_nat_set_o
% 3.29/3.51                @ ^ [X4: nat] : ( insert_o @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2108_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: nat,B5: product_unit > set_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_nat @ A @ bot_bot_set_nat ) ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_8173849991827986510et_nat
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2109_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_o,A: nat,B5: $o > set_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.51         => ( ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_nat @ A @ bot_bot_set_nat ) ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_o )
% 3.29/3.51         => ( ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_o_set_nat
% 3.29/3.51                @ ^ [X4: $o] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2110_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_nat,A: nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.51         => ( ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert_nat @ A @ bot_bot_set_nat ) ) )
% 3.29/3.51        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.51         => ( ( insert_nat @ A @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple7399068483239264473et_nat
% 3.29/3.51              @ ( image_nat_set_nat
% 3.29/3.51                @ ^ [X4: nat] : ( insert_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2111_UN__extend__simps_I1_J,axiom,
% 3.29/3.51      ! [C3: set_Product_unit,A: product_prod_nat_nat,B5: product_unit > set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert8211810215607154385at_nat @ A @ ( comple5685304695842803022at_nat @ ( image_3617315916088684441at_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( insert8211810215607154385at_nat @ A @ bot_bo2099793752762293965at_nat ) ) )
% 3.29/3.51        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( insert8211810215607154385at_nat @ A @ ( comple5685304695842803022at_nat @ ( image_3617315916088684441at_nat @ B5 @ C3 ) ) )
% 3.29/3.51            = ( comple5685304695842803022at_nat
% 3.29/3.51              @ ( image_3617315916088684441at_nat
% 3.29/3.51                @ ^ [X4: product_unit] : ( insert8211810215607154385at_nat @ A @ ( B5 @ X4 ) )
% 3.29/3.51                @ C3 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(1)
% 3.29/3.51  thf(fact_2112_Sigma__def,axiom,
% 3.29/3.51      ( produc6258361011560675592at_nat
% 3.29/3.51      = ( ^ [A6: set_se5479201105039950375at_nat,B6: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat] :
% 3.29/3.51            ( comple7342073961973170484at_nat
% 3.29/3.51            @ ( image_1124969593608450885at_nat
% 3.29/3.51              @ ^ [X4: set_Pr4329608150637261639at_nat] :
% 3.29/3.51                  ( comple7342073961973170484at_nat
% 3.29/3.51                  @ ( image_1124969593608450885at_nat
% 3.29/3.51                    @ ^ [Y5: set_Pr4329608150637261639at_nat] : ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ bot_bo4948859079157340979at_nat )
% 3.29/3.51                    @ ( B6 @ X4 ) ) )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_def
% 3.29/3.51  thf(fact_2113_Sigma__def,axiom,
% 3.29/3.51      ( produc6237731129814287028at_num
% 3.29/3.51      = ( ^ [A6: set_nat,B6: nat > set_num] :
% 3.29/3.51            ( comple1400524285282149784at_num
% 3.29/3.51            @ ( image_2893549341467670548at_num
% 3.29/3.51              @ ^ [X4: nat] :
% 3.29/3.51                  ( comple1400524285282149784at_num
% 3.29/3.51                  @ ( image_4778453735051108682at_num
% 3.29/3.51                    @ ^ [Y5: num] : ( insert8920054152555992091at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ bot_bo7038385379056416535at_num )
% 3.29/3.51                    @ ( B6 @ X4 ) ) )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_def
% 3.29/3.51  thf(fact_2114_Sigma__def,axiom,
% 3.29/3.51      ( produc1453890548195736866nt_int
% 3.29/3.51      = ( ^ [A6: set_int,B6: int > set_int] :
% 3.29/3.51            ( comple5382143125604098054nt_int
% 3.29/3.51            @ ( image_8635204845542730022nt_int
% 3.29/3.51              @ ^ [X4: int] :
% 3.29/3.51                  ( comple5382143125604098054nt_int
% 3.29/3.51                  @ ( image_8635204845542730022nt_int
% 3.29/3.51                    @ ^ [Y5: int] : ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ bot_bo1796632182523588997nt_int )
% 3.29/3.51                    @ ( B6 @ X4 ) ) )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_def
% 3.29/3.51  thf(fact_2115_Sigma__def,axiom,
% 3.29/3.51      ( produc7726050920695093128at_nat
% 3.29/3.51      = ( ^ [A6: set_se7855581050983116737at_nat,B6: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.51            ( comple4364388969068068532at_nat
% 3.29/3.51            @ ( image_6898982319499645995at_nat
% 3.29/3.51              @ ^ [X4: set_Pr1261947904930325089at_nat] :
% 3.29/3.51                  ( comple4364388969068068532at_nat
% 3.29/3.51                  @ ( image_6898982319499645995at_nat
% 3.29/3.51                    @ ^ [Y5: set_Pr1261947904930325089at_nat] : ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ bot_bo228742789529271731at_nat )
% 3.29/3.51                    @ ( B6 @ X4 ) ) )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_def
% 3.29/3.51  thf(fact_2116_Sigma__def,axiom,
% 3.29/3.51      ( produc457027306803732586at_nat
% 3.29/3.51      = ( ^ [A6: set_nat,B6: nat > set_nat] :
% 3.29/3.51            ( comple5685304695842803022at_nat
% 3.29/3.51            @ ( image_7178329752028323786at_nat
% 3.29/3.51              @ ^ [X4: nat] :
% 3.29/3.51                  ( comple5685304695842803022at_nat
% 3.29/3.51                  @ ( image_7178329752028323786at_nat
% 3.29/3.51                    @ ^ [Y5: nat] : ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ bot_bo2099793752762293965at_nat )
% 3.29/3.51                    @ ( B6 @ X4 ) ) )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Sigma_def
% 3.29/3.51  thf(fact_2117_UN__Times__distrib,axiom,
% 3.29/3.51      ! [E2: nat > set_nat,F4: nat > set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.51        ( ( comple5685304695842803022at_nat
% 3.29/3.51          @ ( image_5423882813909314213at_nat
% 3.29/3.51            @ ( produc8197505143624133779at_nat
% 3.29/3.51              @ ^ [A5: nat,B4: nat] :
% 3.29/3.51                  ( produc457027306803732586at_nat @ ( E2 @ A5 )
% 3.29/3.51                  @ ^ [Uu: nat] : ( F4 @ B4 ) ) )
% 3.29/3.51            @ ( produc457027306803732586at_nat @ A4
% 3.29/3.51              @ ^ [Uu: nat] : B5 ) ) )
% 3.29/3.51        = ( produc457027306803732586at_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ E2 @ A4 ) )
% 3.29/3.51          @ ^ [Uu: nat] : ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F4 @ B5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_Times_distrib
% 3.29/3.51  thf(fact_2118_right__total__OO,axiom,
% 3.29/3.51      ! [A4: product_prod_nat_nat > product_prod_nat_nat > $o,B5: product_prod_nat_nat > int > $o] :
% 3.29/3.51        ( ( right_4094035864313884895at_nat @ A4 )
% 3.29/3.51       => ( ( right_1157779049177982926at_int @ B5 )
% 3.29/3.51         => ( right_1157779049177982926at_int @ ( relcom8911704206367525917at_int @ A4 @ B5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % right_total_OO
% 3.29/3.51  thf(fact_2119_right__total__OO,axiom,
% 3.29/3.51      ! [A4: int > int > $o,B5: int > code_integer > $o] :
% 3.29/3.51        ( ( right_total_int_int @ A4 )
% 3.29/3.51       => ( ( right_7281159819619925802nteger @ B5 )
% 3.29/3.51         => ( right_7281159819619925802nteger @ ( relcom967497705283160040nteger @ A4 @ B5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % right_total_OO
% 3.29/3.51  thf(fact_2120_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,R: set_Pr5564308138774400199at_nat,A: produc3843707927480180839at_nat] :
% 3.29/3.51        ( ( refl_o7446464703481863270at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.51         => ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2121_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,R: set_Pr8693737435421807431at_nat,A: product_prod_nat_nat] :
% 3.29/3.51        ( ( refl_o7122697186039111552at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.51         => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2122_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_o,R: set_Product_prod_o_o,A: $o] :
% 3.29/3.51        ( ( refl_on_o @ A4 @ R )
% 3.29/3.51       => ( ( member_o @ A @ A4 )
% 3.29/3.51         => ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2123_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_se5479201105039950375at_nat,R: set_Pr7459493094073627847at_nat,A: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( refl_o6272981002401706822at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member6273874620674182256at_nat @ A @ A4 )
% 3.29/3.51         => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2124_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_se7855581050983116737at_nat,R: set_Pr4329608150637261639at_nat,A: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( refl_o6955724340487615712at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member2643936169264416010at_nat @ A @ A4 )
% 3.29/3.51         => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2125_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_nat,R: set_Pr1261947904930325089at_nat,A: nat] :
% 3.29/3.51        ( ( refl_on_nat @ A4 @ R )
% 3.29/3.51       => ( ( member_nat @ A @ A4 )
% 3.29/3.51         => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2126_refl__onD,axiom,
% 3.29/3.51      ! [A4: set_int,R: set_Pr958786334691620121nt_int,A: int] :
% 3.29/3.51        ( ( refl_on_int @ A4 @ R )
% 3.29/3.51       => ( ( member_int @ A @ A4 )
% 3.29/3.51         => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ A ) @ R ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD
% 3.29/3.51  thf(fact_2127_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,R: set_Pr5564308138774400199at_nat,X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat] :
% 3.29/3.51        ( ( refl_o7446464703481863270at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member8757157785044589968at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2128_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,R: set_Pr8693737435421807431at_nat,X2: product_prod_nat_nat,Y3: product_prod_nat_nat] :
% 3.29/3.51        ( ( refl_o7122697186039111552at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member8440522571783428010at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2129_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_o,R: set_Product_prod_o_o,X2: $o,Y3: $o] :
% 3.29/3.51        ( ( refl_on_o @ A4 @ R )
% 3.29/3.51       => ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member_o @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2130_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_se5479201105039950375at_nat,R: set_Pr7459493094073627847at_nat,X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( refl_o6272981002401706822at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member6273874620674182256at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2131_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_se7855581050983116737at_nat,R: set_Pr4329608150637261639at_nat,X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( refl_o6955724340487615712at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member2643936169264416010at_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2132_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_nat,R: set_Pr1261947904930325089at_nat,X2: nat,Y3: nat] :
% 3.29/3.51        ( ( refl_on_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member_nat @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2133_refl__onD1,axiom,
% 3.29/3.51      ! [A4: set_int,R: set_Pr958786334691620121nt_int,X2: int,Y3: int] :
% 3.29/3.51        ( ( refl_on_int @ A4 @ R )
% 3.29/3.51       => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member_int @ X2 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD1
% 3.29/3.51  thf(fact_2134_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,R: set_Pr5564308138774400199at_nat,X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat] :
% 3.29/3.51        ( ( refl_o7446464703481863270at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member8757157785044589968at_nat @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2135_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,R: set_Pr8693737435421807431at_nat,X2: product_prod_nat_nat,Y3: product_prod_nat_nat] :
% 3.29/3.51        ( ( refl_o7122697186039111552at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member8440522571783428010at_nat @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2136_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_o,R: set_Product_prod_o_o,X2: $o,Y3: $o] :
% 3.29/3.51        ( ( refl_on_o @ A4 @ R )
% 3.29/3.51       => ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member_o @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2137_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_se5479201105039950375at_nat,R: set_Pr7459493094073627847at_nat,X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.51        ( ( refl_o6272981002401706822at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member6273874620674182256at_nat @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2138_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_se7855581050983116737at_nat,R: set_Pr4329608150637261639at_nat,X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( refl_o6955724340487615712at_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member2643936169264416010at_nat @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2139_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_nat,R: set_Pr1261947904930325089at_nat,X2: nat,Y3: nat] :
% 3.29/3.51        ( ( refl_on_nat @ A4 @ R )
% 3.29/3.51       => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member_nat @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2140_refl__onD2,axiom,
% 3.29/3.51      ! [A4: set_int,R: set_Pr958786334691620121nt_int,X2: int,Y3: int] :
% 3.29/3.51        ( ( refl_on_int @ A4 @ R )
% 3.29/3.51       => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X2 @ Y3 ) @ R )
% 3.29/3.51         => ( member_int @ Y3 @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % refl_onD2
% 3.29/3.51  thf(fact_2141_INT__extend__simps_I8_J,axiom,
% 3.29/3.51      ! [B5: nat > set_nat,A4: set_set_nat] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_7916887816326733075et_nat
% 3.29/3.51            @ ^ [Y5: set_nat] : ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ Y5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ ( comple7399068483239264473et_nat @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_extend_simps(8)
% 3.29/3.51  thf(fact_2142_Id__on__def,axiom,
% 3.29/3.51      ( id_on_3275838214495744996at_nat
% 3.29/3.51      = ( ^ [A6: set_se5479201105039950375at_nat] :
% 3.29/3.51            ( comple7342073961973170484at_nat
% 3.29/3.51            @ ( image_1124969593608450885at_nat
% 3.29/3.51              @ ^ [X4: set_Pr4329608150637261639at_nat] : ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ X4 @ X4 ) @ bot_bo4948859079157340979at_nat )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Id_on_def
% 3.29/3.51  thf(fact_2143_Id__on__def,axiom,
% 3.29/3.51      ( id_on_int
% 3.29/3.51      = ( ^ [A6: set_int] :
% 3.29/3.51            ( comple5382143125604098054nt_int
% 3.29/3.51            @ ( image_8635204845542730022nt_int
% 3.29/3.51              @ ^ [X4: int] : ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ X4 @ X4 ) @ bot_bo1796632182523588997nt_int )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Id_on_def
% 3.29/3.51  thf(fact_2144_Id__on__def,axiom,
% 3.29/3.51      ( id_on_6713504163309144702at_nat
% 3.29/3.51      = ( ^ [A6: set_se7855581050983116737at_nat] :
% 3.29/3.51            ( comple4364388969068068532at_nat
% 3.29/3.51            @ ( image_6898982319499645995at_nat
% 3.29/3.51              @ ^ [X4: set_Pr1261947904930325089at_nat] : ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ X4 @ X4 ) @ bot_bo228742789529271731at_nat )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Id_on_def
% 3.29/3.51  thf(fact_2145_Id__on__def,axiom,
% 3.29/3.51      ( id_on_nat
% 3.29/3.51      = ( ^ [A6: set_nat] :
% 3.29/3.51            ( comple5685304695842803022at_nat
% 3.29/3.51            @ ( image_7178329752028323786at_nat
% 3.29/3.51              @ ^ [X4: nat] : ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ X4 @ X4 ) @ bot_bo2099793752762293965at_nat )
% 3.29/3.51              @ A6 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Id_on_def
% 3.29/3.51  thf(fact_2146_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,F: product_unit > set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2147_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2148_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( A4 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2149_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_o,F: $o > set_nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_o )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2150_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2151_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,F: product_unit > product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2152_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo228742789529271731at_nat )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2153_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ( A4 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2154_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_o,F: $o > product_unit] :
% 3.29/3.51        ( ( A4 != bot_bot_set_o )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2155_INF__le__SUP,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > product_unit] :
% 3.29/3.51        ( ( A4 != bot_bot_set_nat )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_le_SUP
% 3.29/3.51  thf(fact_2156_right__unique__OO,axiom,
% 3.29/3.51      ! [A4: product_prod_nat_nat > product_prod_nat_nat > $o,B5: product_prod_nat_nat > int > $o] :
% 3.29/3.51        ( ( right_1383565826979811350at_nat @ A4 )
% 3.29/3.51       => ( ( right_8621877368619751767at_int @ B5 )
% 3.29/3.51         => ( right_8621877368619751767at_int @ ( relcom8911704206367525917at_int @ A4 @ B5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % right_unique_OO
% 3.29/3.51  thf(fact_2157_right__unique__OO,axiom,
% 3.29/3.51      ! [A4: int > int > $o,B5: int > code_integer > $o] :
% 3.29/3.51        ( ( right_unique_int_int @ A4 )
% 3.29/3.51       => ( ( right_8475562212078014689nteger @ B5 )
% 3.29/3.51         => ( right_8475562212078014689nteger @ ( relcom967497705283160040nteger @ A4 @ B5 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % right_unique_OO
% 3.29/3.51  thf(fact_2158_INT__E,axiom,
% 3.29/3.51      ! [B: $o,B5: $o > set_o,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_o_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2159_INT__E,axiom,
% 3.29/3.51      ! [B: $o,B5: nat > set_o,A4: set_nat,A: nat] :
% 3.29/3.51        ( ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_nat @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2160_INT__E,axiom,
% 3.29/3.51      ! [B: $o,B5: int > set_o,A4: set_int,A: int] :
% 3.29/3.51        ( ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_int_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_o @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_int @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2161_INT__E,axiom,
% 3.29/3.51      ! [B: int,B5: $o > set_int,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2162_INT__E,axiom,
% 3.29/3.51      ! [B: int,B5: nat > set_int,A4: set_nat,A: nat] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_nat @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2163_INT__E,axiom,
% 3.29/3.51      ! [B: int,B5: int > set_int,A4: set_int,A: int] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_int_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_int @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_int @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2164_INT__E,axiom,
% 3.29/3.51      ! [B: nat,B5: $o > set_nat,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2165_INT__E,axiom,
% 3.29/3.51      ! [B: nat,B5: nat > set_nat,A4: set_nat,A: nat] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_nat @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2166_INT__E,axiom,
% 3.29/3.51      ! [B: nat,B5: int > set_nat,A4: set_int,A: int] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_int @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2167_INT__E,axiom,
% 3.29/3.51      ! [B: product_prod_nat_nat,B5: $o > set_Pr1261947904930325089at_nat,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ B @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ~ ( member8440522571783428010at_nat @ B @ ( B5 @ A ) )
% 3.29/3.51         => ~ ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_E
% 3.29/3.51  thf(fact_2168_INT__D,axiom,
% 3.29/3.51      ! [B: $o,B5: $o > set_o,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_o_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_o @ A @ A4 )
% 3.29/3.51         => ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2169_INT__D,axiom,
% 3.29/3.51      ! [B: $o,B5: nat > set_o,A4: set_nat,A: nat] :
% 3.29/3.51        ( ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_nat @ A @ A4 )
% 3.29/3.51         => ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2170_INT__D,axiom,
% 3.29/3.51      ! [B: $o,B5: int > set_o,A4: set_int,A: int] :
% 3.29/3.51        ( ( member_o @ B @ ( comple3063163877087187839_set_o @ ( image_int_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_int @ A @ A4 )
% 3.29/3.51         => ( member_o @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2171_INT__D,axiom,
% 3.29/3.51      ! [B: int,B5: $o > set_int,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_o @ A @ A4 )
% 3.29/3.51         => ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2172_INT__D,axiom,
% 3.29/3.51      ! [B: int,B5: nat > set_int,A4: set_nat,A: nat] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_nat @ A @ A4 )
% 3.29/3.51         => ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2173_INT__D,axiom,
% 3.29/3.51      ! [B: int,B5: int > set_int,A4: set_int,A: int] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3628384868704368283et_int @ ( image_int_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_int @ A @ A4 )
% 3.29/3.51         => ( member_int @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2174_INT__D,axiom,
% 3.29/3.51      ! [B: nat,B5: $o > set_nat,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_o @ A @ A4 )
% 3.29/3.51         => ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2175_INT__D,axiom,
% 3.29/3.51      ! [B: nat,B5: nat > set_nat,A4: set_nat,A: nat] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_nat @ A @ A4 )
% 3.29/3.51         => ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2176_INT__D,axiom,
% 3.29/3.51      ! [B: nat,B5: int > set_nat,A4: set_int,A: int] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_int @ A @ A4 )
% 3.29/3.51         => ( member_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2177_INT__D,axiom,
% 3.29/3.51      ! [B: product_prod_nat_nat,B5: $o > set_Pr1261947904930325089at_nat,A4: set_o,A: $o] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ B @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ( ( member_o @ A @ A4 )
% 3.29/3.51         => ( member8440522571783428010at_nat @ B @ ( B5 @ A ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_D
% 3.29/3.51  thf(fact_2178_UN__E,axiom,
% 3.29/3.51      ! [B: $o,B5: $o > set_o,A4: set_o] :
% 3.29/3.51        ( ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ~ ( member_o @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2179_UN__E,axiom,
% 3.29/3.51      ! [B: $o,B5: nat > set_o,A4: set_nat] :
% 3.29/3.51        ( ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ A4 )
% 3.29/3.51             => ~ ( member_o @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2180_UN__E,axiom,
% 3.29/3.51      ! [B: $o,B5: int > set_o,A4: set_int] :
% 3.29/3.51        ( ( member_o @ B @ ( comple90263536869209701_set_o @ ( image_int_set_o @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ A4 )
% 3.29/3.51             => ~ ( member_o @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2181_UN__E,axiom,
% 3.29/3.51      ! [B: int,B5: $o > set_int,A4: set_o] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3221217463730067765et_int @ ( image_o_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ~ ( member_int @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2182_UN__E,axiom,
% 3.29/3.51      ! [B: int,B5: nat > set_int,A4: set_nat] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3221217463730067765et_int @ ( image_nat_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ A4 )
% 3.29/3.51             => ~ ( member_int @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2183_UN__E,axiom,
% 3.29/3.51      ! [B: int,B5: int > set_int,A4: set_int] :
% 3.29/3.51        ( ( member_int @ B @ ( comple3221217463730067765et_int @ ( image_int_set_int @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ A4 )
% 3.29/3.51             => ~ ( member_int @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2184_UN__E,axiom,
% 3.29/3.51      ! [B: nat,B5: $o > set_nat,A4: set_o] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ~ ( member_nat @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2185_UN__E,axiom,
% 3.29/3.51      ! [B: nat,B5: nat > set_nat,A4: set_nat] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ A4 )
% 3.29/3.51             => ~ ( member_nat @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2186_UN__E,axiom,
% 3.29/3.51      ! [B: nat,B5: int > set_nat,A4: set_int] :
% 3.29/3.51        ( ( member_nat @ B @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ A4 )
% 3.29/3.51             => ~ ( member_nat @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2187_UN__E,axiom,
% 3.29/3.51      ! [B: product_prod_nat_nat,B5: $o > set_Pr1261947904930325089at_nat,A4: set_o] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ B @ ( comple5685304695842803022at_nat @ ( image_7077428525161401678at_nat @ B5 @ A4 ) ) )
% 3.29/3.51       => ~ ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ~ ( member8440522571783428010at_nat @ B @ ( B5 @ X ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_E
% 3.29/3.51  thf(fact_2188_UNION__singleton__eq__range,axiom,
% 3.29/3.51      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( comple3890839924845867745et_rat
% 3.29/3.51          @ ( image_nat_set_rat
% 3.29/3.51            @ ^ [X4: nat] : ( insert_rat @ ( F @ X4 ) @ bot_bot_set_rat )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( image_nat_rat @ F @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UNION_singleton_eq_range
% 3.29/3.51  thf(fact_2189_UNION__singleton__eq__range,axiom,
% 3.29/3.51      ! [F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( comple3221217463730067765et_int
% 3.29/3.51          @ ( image_nat_set_int
% 3.29/3.51            @ ^ [X4: nat] : ( insert_int @ ( F @ X4 ) @ bot_bot_set_int )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( image_nat_int @ F @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UNION_singleton_eq_range
% 3.29/3.51  thf(fact_2190_UNION__singleton__eq__range,axiom,
% 3.29/3.51      ! [F: int > int,A4: set_int] :
% 3.29/3.51        ( ( comple3221217463730067765et_int
% 3.29/3.51          @ ( image_int_set_int
% 3.29/3.51            @ ^ [X4: int] : ( insert_int @ ( F @ X4 ) @ bot_bot_set_int )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( image_int_int @ F @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UNION_singleton_eq_range
% 3.29/3.51  thf(fact_2191_UNION__singleton__eq__range,axiom,
% 3.29/3.51      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [X4: nat] : ( insert_nat @ ( F @ X4 ) @ bot_bot_set_nat )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( image_nat_nat @ F @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UNION_singleton_eq_range
% 3.29/3.51  thf(fact_2192_UNION__singleton__eq__range,axiom,
% 3.29/3.51      ! [F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_int_set_nat
% 3.29/3.51            @ ^ [X4: int] : ( insert_nat @ ( F @ X4 ) @ bot_bot_set_nat )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( image_int_nat @ F @ A4 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UNION_singleton_eq_range
% 3.29/3.51  thf(fact_2193_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,G: $o > product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2194_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_nat,G: nat > product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: nat] :
% 3.29/3.51                ( ( member_nat @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: nat] :
% 3.29/3.51              ( ( member_nat @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2195_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_int,G: int > product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: int] :
% 3.29/3.51                ( ( member_int @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: int] :
% 3.29/3.51              ( ( member_int @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2196_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_o,G: $o > product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: nat] :
% 3.29/3.51                  ( ( member_nat @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2197_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,G: nat > product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ? [X6: nat] :
% 3.29/3.51                ( ( member_nat @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: nat] :
% 3.29/3.51              ( ( member_nat @ J2 @ B5 )
% 3.29/3.51             => ? [X6: nat] :
% 3.29/3.51                  ( ( member_nat @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2198_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_int,G: int > product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ? [X6: int] :
% 3.29/3.51                ( ( member_int @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: int] :
% 3.29/3.51              ( ( member_int @ J2 @ B5 )
% 3.29/3.51             => ? [X6: nat] :
% 3.29/3.51                  ( ( member_nat @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2199_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_o,G: $o > product_unit,F: int > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: int] :
% 3.29/3.51                  ( ( member_int @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2200_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_nat,G: nat > product_unit,F: int > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ? [X6: nat] :
% 3.29/3.51                ( ( member_nat @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: nat] :
% 3.29/3.51              ( ( member_nat @ J2 @ B5 )
% 3.29/3.51             => ? [X6: int] :
% 3.29/3.51                  ( ( member_int @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2201_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,G: int > product_unit,F: int > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ? [X6: int] :
% 3.29/3.51                ( ( member_int @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: int] :
% 3.29/3.51              ( ( member_int @ J2 @ B5 )
% 3.29/3.51             => ? [X6: int] :
% 3.29/3.51                  ( ( member_int @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2202_INF__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,G: $o > set_nat,F: $o > set_nat] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_less_eq_set_nat @ ( G @ X6 ) @ ( F @ I4 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_less_eq_set_nat @ ( F @ X6 ) @ ( G @ J2 ) ) ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.51            = ( comple7806235888213564991et_nat @ ( image_o_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq
% 3.29/3.51  thf(fact_2203_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,F: $o > product_unit,G: $o > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2204_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_nat,F: $o > product_unit,G: nat > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: nat] :
% 3.29/3.51                ( ( member_nat @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: nat] :
% 3.29/3.51              ( ( member_nat @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2205_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_int,F: $o > product_unit,G: int > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: int] :
% 3.29/3.51                ( ( member_int @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: int] :
% 3.29/3.51              ( ( member_int @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2206_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_o,F: nat > product_unit,G: $o > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: nat] :
% 3.29/3.51                  ( ( member_nat @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2207_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,F: nat > product_unit,G: nat > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ? [X6: nat] :
% 3.29/3.51                ( ( member_nat @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: nat] :
% 3.29/3.51              ( ( member_nat @ J2 @ B5 )
% 3.29/3.51             => ? [X6: nat] :
% 3.29/3.51                  ( ( member_nat @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2208_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_int,F: nat > product_unit,G: int > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ? [X6: int] :
% 3.29/3.51                ( ( member_int @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: int] :
% 3.29/3.51              ( ( member_int @ J2 @ B5 )
% 3.29/3.51             => ? [X6: nat] :
% 3.29/3.51                  ( ( member_nat @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2209_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_o,F: int > product_unit,G: $o > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: int] :
% 3.29/3.51                  ( ( member_int @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2210_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_nat,F: int > product_unit,G: nat > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ? [X6: nat] :
% 3.29/3.51                ( ( member_nat @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: nat] :
% 3.29/3.51              ( ( member_nat @ J2 @ B5 )
% 3.29/3.51             => ? [X6: int] :
% 3.29/3.51                  ( ( member_int @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2211_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,F: int > product_unit,G: int > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ? [X6: int] :
% 3.29/3.51                ( ( member_int @ X6 @ B5 )
% 3.29/3.51                & ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: int] :
% 3.29/3.51              ( ( member_int @ J2 @ B5 )
% 3.29/3.51             => ? [X6: int] :
% 3.29/3.51                  ( ( member_int @ X6 @ A4 )
% 3.29/3.51                  & ( ord_le3221252021190050221t_unit @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2212_SUP__eq,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,F: $o > set_nat,G: $o > set_nat] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ? [X6: $o] :
% 3.29/3.51                ( ( member_o @ X6 @ B5 )
% 3.29/3.51                & ( ord_less_eq_set_nat @ ( F @ I4 ) @ ( G @ X6 ) ) ) )
% 3.29/3.51       => ( ! [J2: $o] :
% 3.29/3.51              ( ( member_o @ J2 @ B5 )
% 3.29/3.51             => ? [X6: $o] :
% 3.29/3.51                  ( ( member_o @ X6 @ A4 )
% 3.29/3.51                  & ( ord_less_eq_set_nat @ ( G @ J2 ) @ ( F @ X6 ) ) ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.51            = ( comple7399068483239264473et_nat @ ( image_o_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq
% 3.29/3.51  thf(fact_2213_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_int,F: int > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2214_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,F: product_unit > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2215_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_o,F: $o > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2216_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_nat,F: nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2217_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_int,F: int > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2218_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,F: product_unit > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2219_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_o,F: $o > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2220_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_nat,F: nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2221_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2222_INF__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_const
% 3.29/3.51  thf(fact_2223_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_int,F: int > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2224_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,F: product_unit > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2225_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_o,F: $o > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2226_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_nat,F: nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2227_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_int,F: int > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2228_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,F: product_unit > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2229_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_o,F: $o > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2230_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_nat,F: nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2231_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2232_SUP__eq__const,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ( F @ I4 )
% 3.29/3.51                = X2 ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ I3 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_const
% 3.29/3.51  thf(fact_2233_INF__image,axiom,
% 3.29/3.51      ! [G: $o > $o,F: nat > $o,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_o @ ( image_o_o @ G @ ( image_nat_o @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_o @ ( image_nat_o @ ( comp_o_o_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2234_INF__image,axiom,
% 3.29/3.51      ! [G: rat > nat,F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat @ ( image_rat_nat @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ ( image_nat_nat @ ( comp_rat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2235_INF__image,axiom,
% 3.29/3.51      ! [G: nat > nat,F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat @ ( image_nat_nat @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ ( image_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2236_INF__image,axiom,
% 3.29/3.51      ! [G: nat > nat,F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat @ ( image_nat_nat @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ ( image_int_nat @ ( comp_nat_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2237_INF__image,axiom,
% 3.29/3.51      ! [G: int > nat,F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat @ ( image_int_nat @ G @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ ( image_nat_nat @ ( comp_int_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2238_INF__image,axiom,
% 3.29/3.51      ! [G: int > nat,F: int > int,A4: set_int] :
% 3.29/3.51        ( ( complete_Inf_Inf_nat @ ( image_int_nat @ G @ ( image_int_int @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_nat @ ( image_int_nat @ ( comp_int_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2239_INF__image,axiom,
% 3.29/3.51      ! [G: rat > int,F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_int @ ( image_rat_int @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_int @ ( image_nat_int @ ( comp_rat_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2240_INF__image,axiom,
% 3.29/3.51      ! [G: nat > int,F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_int @ ( image_nat_int @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_int @ ( image_nat_int @ ( comp_nat_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2241_INF__image,axiom,
% 3.29/3.51      ! [G: nat > int,F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( complete_Inf_Inf_int @ ( image_nat_int @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_int @ ( image_int_int @ ( comp_nat_int_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2242_INF__image,axiom,
% 3.29/3.51      ! [G: int > int,F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( complete_Inf_Inf_int @ ( image_int_int @ G @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Inf_Inf_int @ ( image_nat_int @ ( comp_int_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_image
% 3.29/3.51  thf(fact_2243_SUP__image,axiom,
% 3.29/3.51      ! [G: $o > $o,F: nat > $o,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_o @ ( image_o_o @ G @ ( image_nat_o @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_o @ ( image_nat_o @ ( comp_o_o_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2244_SUP__image,axiom,
% 3.29/3.51      ! [G: rat > nat,F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat @ ( image_rat_nat @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ ( image_nat_nat @ ( comp_rat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2245_SUP__image,axiom,
% 3.29/3.51      ! [G: nat > nat,F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ ( image_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2246_SUP__image,axiom,
% 3.29/3.51      ! [G: nat > nat,F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ ( image_int_nat @ ( comp_nat_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2247_SUP__image,axiom,
% 3.29/3.51      ! [G: int > nat,F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ ( image_nat_nat @ ( comp_int_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2248_SUP__image,axiom,
% 3.29/3.51      ! [G: int > nat,F: int > int,A4: set_int] :
% 3.29/3.51        ( ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ ( image_int_int @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_nat @ ( image_int_nat @ ( comp_int_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2249_SUP__image,axiom,
% 3.29/3.51      ! [G: rat > int,F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_int @ ( image_rat_int @ G @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_int @ ( image_nat_int @ ( comp_rat_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2250_SUP__image,axiom,
% 3.29/3.51      ! [G: nat > int,F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_int @ ( image_nat_int @ G @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_int @ ( image_nat_int @ ( comp_nat_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2251_SUP__image,axiom,
% 3.29/3.51      ! [G: nat > int,F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( complete_Sup_Sup_int @ ( image_nat_int @ G @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_int @ ( image_int_int @ ( comp_nat_int_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2252_SUP__image,axiom,
% 3.29/3.51      ! [G: int > int,F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( complete_Sup_Sup_int @ ( image_int_int @ G @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.51        = ( complete_Sup_Sup_int @ ( image_nat_int @ ( comp_int_int_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_image
% 3.29/3.51  thf(fact_2253_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,U: set_nat,F: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ U @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2254_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,U: set_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ U @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2255_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_o,U: set_nat,F: $o > set_nat] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ U @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2256_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_nat,U: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ U @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2257_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_int,U: set_nat,F: int > set_nat] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ U @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2258_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,U: product_unit,F: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2259_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,U: product_unit,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2260_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_o,U: product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2261_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_nat,U: product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2262_INF__greatest,axiom,
% 3.29/3.51      ! [A4: set_int,U: product_unit,F: int > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ U @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_greatest
% 3.29/3.51  thf(fact_2263_INF__lower2,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,U: set_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2264_INF__lower2,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,U: set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2265_INF__lower2,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,F: $o > set_nat,U: set_nat] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2266_INF__lower2,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,F: nat > set_nat,U: set_nat] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2267_INF__lower2,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,F: int > set_nat,U: set_nat] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2268_INF__lower2,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit,U: product_unit] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2269_INF__lower2,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,U: product_unit] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2270_INF__lower2,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,F: $o > product_unit,U: product_unit] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2271_INF__lower2,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,F: nat > product_unit,U: product_unit] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2272_INF__lower2,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,F: int > product_unit,U: product_unit] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ ( F @ I ) @ U )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ U ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower2
% 3.29/3.51  thf(fact_2273_INF__lower,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2274_INF__lower,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2275_INF__lower,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,F: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2276_INF__lower,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2277_INF__lower,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,F: int > set_nat] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2278_INF__lower,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2279_INF__lower,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2280_INF__lower,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,F: $o > product_unit] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2281_INF__lower,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,F: nat > product_unit] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2282_INF__lower,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,F: int > product_unit] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ ( F @ I ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_lower
% 3.29/3.51  thf(fact_2283_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,X2: set_nat,F: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: produc3843707927480180839at_nat] :
% 3.29/3.51                  ( ( member8757157785044589968at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2284_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,X2: set_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2285_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_o,X2: set_nat,F: $o > set_nat] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: $o] :
% 3.29/3.51                  ( ( member_o @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2286_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_nat,X2: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: nat] :
% 3.29/3.51                  ( ( member_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2287_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_int,X2: set_nat,F: int > set_nat] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: int] :
% 3.29/3.51                  ( ( member_int @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2288_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,X2: product_unit,F: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: produc3843707927480180839at_nat] :
% 3.29/3.51                  ( ( member8757157785044589968at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2289_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,X2: product_unit,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2290_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_o,X2: product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: $o] :
% 3.29/3.51                  ( ( member_o @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2291_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_nat,X2: product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: nat] :
% 3.29/3.51                  ( ( member_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2292_INF__eqI,axiom,
% 3.29/3.51      ! [A4: set_int,X2: product_unit,F: int > product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ X2 @ ( F @ I4 ) ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: int] :
% 3.29/3.51                  ( ( member_int @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ Y @ ( F @ I5 ) ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ Y @ X2 ) )
% 3.29/3.51         => ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eqI
% 3.29/3.51  thf(fact_2293_SUP__upper2,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,U: set_nat,F: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ U @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2294_SUP__upper2,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,U: set_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ U @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2295_SUP__upper2,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,U: set_nat,F: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ U @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2296_SUP__upper2,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,U: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ U @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2297_SUP__upper2,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,U: set_nat,F: int > set_nat] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ( ord_less_eq_set_nat @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ U @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2298_SUP__upper2,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,U: product_unit,F: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2299_SUP__upper2,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,U: product_unit,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2300_SUP__upper2,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,U: product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2301_SUP__upper2,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,U: product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2302_SUP__upper2,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,U: product_unit,F: int > product_unit] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ I ) )
% 3.29/3.51         => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper2
% 3.29/3.51  thf(fact_2303_SUP__upper,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( F @ I ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2304_SUP__upper,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( F @ I ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2305_SUP__upper,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,F: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( F @ I ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2306_SUP__upper,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( F @ I ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2307_SUP__upper,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,F: int > set_nat] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( F @ I ) @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2308_SUP__upper,axiom,
% 3.29/3.51      ! [I: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( F @ I ) @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2309_SUP__upper,axiom,
% 3.29/3.51      ! [I: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( F @ I ) @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2310_SUP__upper,axiom,
% 3.29/3.51      ! [I: $o,A4: set_o,F: $o > product_unit] :
% 3.29/3.51        ( ( member_o @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( F @ I ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2311_SUP__upper,axiom,
% 3.29/3.51      ! [I: nat,A4: set_nat,F: nat > product_unit] :
% 3.29/3.51        ( ( member_nat @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( F @ I ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2312_SUP__upper,axiom,
% 3.29/3.51      ! [I: int,A4: set_int,F: int > product_unit] :
% 3.29/3.51        ( ( member_int @ I @ A4 )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( F @ I ) @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_upper
% 3.29/3.51  thf(fact_2313_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,U: set_nat] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2314_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,U: set_nat] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2315_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_o,F: $o > set_nat,U: set_nat] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2316_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > set_nat,U: set_nat] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2317_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_int,F: int > set_nat,U: set_nat] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2318_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit,U: product_unit] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2319_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,U: product_unit] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2320_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_o,F: $o > product_unit,U: product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2321_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > product_unit,U: product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2322_SUP__least,axiom,
% 3.29/3.51      ! [A4: set_int,F: int > product_unit,U: product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ U ) )
% 3.29/3.51       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ U ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_least
% 3.29/3.51  thf(fact_2323_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: produc3843707927480180839at_nat] :
% 3.29/3.51                  ( ( member8757157785044589968at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2324_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2325_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_o,F: $o > set_nat,X2: set_nat] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: $o] :
% 3.29/3.51                  ( ( member_o @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2326_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > set_nat,X2: set_nat] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: nat] :
% 3.29/3.51                  ( ( member_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2327_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_int,F: int > set_nat,X2: set_nat] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: set_nat] :
% 3.29/3.51              ( ! [I5: int] :
% 3.29/3.51                  ( ( member_int @ I5 @ A4 )
% 3.29/3.51                 => ( ord_less_eq_set_nat @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_less_eq_set_nat @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2328_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ! [I4: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: produc3843707927480180839at_nat] :
% 3.29/3.51                  ( ( member8757157785044589968at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2329_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2330_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_o,F: $o > product_unit,X2: product_unit] :
% 3.29/3.51        ( ! [I4: $o] :
% 3.29/3.51            ( ( member_o @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: $o] :
% 3.29/3.51                  ( ( member_o @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2331_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_nat,F: nat > product_unit,X2: product_unit] :
% 3.29/3.51        ( ! [I4: nat] :
% 3.29/3.51            ( ( member_nat @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: nat] :
% 3.29/3.51                  ( ( member_nat @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2332_SUP__eqI,axiom,
% 3.29/3.51      ! [A4: set_int,F: int > product_unit,X2: product_unit] :
% 3.29/3.51        ( ! [I4: int] :
% 3.29/3.51            ( ( member_int @ I4 @ A4 )
% 3.29/3.51           => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ X2 ) )
% 3.29/3.51       => ( ! [Y: product_unit] :
% 3.29/3.51              ( ! [I5: int] :
% 3.29/3.51                  ( ( member_int @ I5 @ A4 )
% 3.29/3.51                 => ( ord_le3221252021190050221t_unit @ ( F @ I5 ) @ Y ) )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ X2 @ Y ) )
% 3.29/3.51         => ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.51            = X2 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eqI
% 3.29/3.51  thf(fact_2333_INT__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: rat > set_nat,F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [A5: nat] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ ( image_rat_set_nat @ B5 @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_extend_simps(10)
% 3.29/3.51  thf(fact_2334_INT__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: nat > set_nat,F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [A5: nat] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_extend_simps(10)
% 3.29/3.51  thf(fact_2335_INT__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: int > set_nat,F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [A5: nat] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_extend_simps(10)
% 3.29/3.51  thf(fact_2336_INT__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: nat > set_nat,F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_int_set_nat
% 3.29/3.51            @ ^ [A5: int] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_extend_simps(10)
% 3.29/3.51  thf(fact_2337_INT__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: int > set_nat,F: int > int,A4: set_int] :
% 3.29/3.51        ( ( comple7806235888213564991et_nat
% 3.29/3.51          @ ( image_int_set_nat
% 3.29/3.51            @ ^ [A5: int] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_extend_simps(10)
% 3.29/3.51  thf(fact_2338_INT__lower,axiom,
% 3.29/3.51      ! [A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,B5: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ B5 @ A4 ) ) @ ( B5 @ A ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_lower
% 3.29/3.51  thf(fact_2339_INT__lower,axiom,
% 3.29/3.51      ! [A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) @ ( B5 @ A ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_lower
% 3.29/3.51  thf(fact_2340_INT__lower,axiom,
% 3.29/3.51      ! [A: $o,A4: set_o,B5: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) @ ( B5 @ A ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_lower
% 3.29/3.51  thf(fact_2341_INT__lower,axiom,
% 3.29/3.51      ! [A: nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) @ ( B5 @ A ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_lower
% 3.29/3.51  thf(fact_2342_INT__lower,axiom,
% 3.29/3.51      ! [A: int,A4: set_int,B5: int > set_nat] :
% 3.29/3.51        ( ( member_int @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) @ ( B5 @ A ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_lower
% 3.29/3.51  thf(fact_2343_INT__greatest,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,C3: set_nat,B5: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ C3 @ ( B5 @ X ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ C3 @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_greatest
% 3.29/3.51  thf(fact_2344_INT__greatest,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,C3: set_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ! [X: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ C3 @ ( B5 @ X ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ C3 @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_greatest
% 3.29/3.51  thf(fact_2345_INT__greatest,axiom,
% 3.29/3.51      ! [A4: set_o,C3: set_nat,B5: $o > set_nat] :
% 3.29/3.51        ( ! [X: $o] :
% 3.29/3.51            ( ( member_o @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ C3 @ ( B5 @ X ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ C3 @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_greatest
% 3.29/3.51  thf(fact_2346_INT__greatest,axiom,
% 3.29/3.51      ! [A4: set_nat,C3: set_nat,B5: nat > set_nat] :
% 3.29/3.51        ( ! [X: nat] :
% 3.29/3.51            ( ( member_nat @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ C3 @ ( B5 @ X ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ C3 @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_greatest
% 3.29/3.51  thf(fact_2347_INT__greatest,axiom,
% 3.29/3.51      ! [A4: set_int,C3: set_nat,B5: int > set_nat] :
% 3.29/3.51        ( ! [X: int] :
% 3.29/3.51            ( ( member_int @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ C3 @ ( B5 @ X ) ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ C3 @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_greatest
% 3.29/3.51  thf(fact_2348_INT__anti__mono,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,G: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( ord_le1268244103169919719at_nat @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.51              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ B5 ) ) @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ G @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_anti_mono
% 3.29/3.51  thf(fact_2349_INT__anti__mono,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,G: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( ord_le3146513528884898305at_nat @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ B5 ) ) @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ G @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_anti_mono
% 3.29/3.51  thf(fact_2350_INT__anti__mono,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,F: $o > set_nat,G: $o > set_nat] :
% 3.29/3.51        ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ B5 ) ) @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ G @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_anti_mono
% 3.29/3.51  thf(fact_2351_INT__anti__mono,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,F: nat > set_nat,G: nat > set_nat] :
% 3.29/3.51        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ B5 ) ) @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ G @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_anti_mono
% 3.29/3.51  thf(fact_2352_INT__anti__mono,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,F: int > set_nat,G: int > set_nat] :
% 3.29/3.51        ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ B5 ) ) @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ G @ A4 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INT_anti_mono
% 3.29/3.51  thf(fact_2353_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_int,C: int] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_int )
% 3.29/3.51         => ( ( image_int_int
% 3.29/3.51              @ ^ [X4: int] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_int ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_int )
% 3.29/3.51         => ( ( image_int_int
% 3.29/3.51              @ ^ [X4: int] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_int @ C @ bot_bot_set_int ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2354_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_int,C: nat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_int )
% 3.29/3.51         => ( ( image_int_nat
% 3.29/3.51              @ ^ [X4: int] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_int )
% 3.29/3.51         => ( ( image_int_nat
% 3.29/3.51              @ ^ [X4: int] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_nat @ C @ bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2355_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_405062704495631173t_unit
% 3.29/3.51              @ ^ [X4: product_unit] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_405062704495631173t_unit
% 3.29/3.51              @ ^ [X4: product_unit] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_Product_unit @ C @ bot_bo3957492148770167129t_unit ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2356_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: $o] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_Product_unit_o
% 3.29/3.51              @ ^ [X4: product_unit] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_Product_unit_o
% 3.29/3.51              @ ^ [X4: product_unit] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_o @ C @ bot_bot_set_o ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2357_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_Product_unit,C: nat] :
% 3.29/3.51        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_875570014554754200it_nat
% 3.29/3.51              @ ^ [X4: product_unit] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.51         => ( ( image_875570014554754200it_nat
% 3.29/3.51              @ ^ [X4: product_unit] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_nat @ C @ bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2358_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_o,C: product_unit] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_o_Product_unit
% 3.29/3.51              @ ^ [X4: $o] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_o_Product_unit
% 3.29/3.51              @ ^ [X4: $o] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_Product_unit @ C @ bot_bo3957492148770167129t_unit ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2359_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_o,C: $o] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_o_o
% 3.29/3.51              @ ^ [X4: $o] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_o ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_o_o
% 3.29/3.51              @ ^ [X4: $o] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_o @ C @ bot_bot_set_o ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2360_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_o,C: nat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.51         => ( ( image_o_nat
% 3.29/3.51              @ ^ [X4: $o] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_nat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_o )
% 3.29/3.51         => ( ( image_o_nat
% 3.29/3.51              @ ^ [X4: $o] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_nat @ C @ bot_bot_set_nat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2361_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_nat,C: rat] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_nat_rat
% 3.29/3.51              @ ^ [X4: nat] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_rat ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_nat_rat
% 3.29/3.51              @ ^ [X4: nat] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_rat @ C @ bot_bot_set_rat ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2362_image__constant__conv,axiom,
% 3.29/3.51      ! [A4: set_nat,C: int] :
% 3.29/3.51        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.51         => ( ( image_nat_int
% 3.29/3.51              @ ^ [X4: nat] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = bot_bot_set_int ) )
% 3.29/3.51        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.51         => ( ( image_nat_int
% 3.29/3.51              @ ^ [X4: nat] : C
% 3.29/3.51              @ A4 )
% 3.29/3.51            = ( insert_int @ C @ bot_bot_set_int ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant_conv
% 3.29/3.51  thf(fact_2363_image__constant,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,C: rat] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( image_nat_rat
% 3.29/3.51            @ ^ [X4: nat] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_rat @ C @ bot_bot_set_rat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2364_image__constant,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,C: int] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( image_nat_int
% 3.29/3.51            @ ^ [X4: nat] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_int @ C @ bot_bot_set_int ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2365_image__constant,axiom,
% 3.29/3.51      ! [X2: int,A4: set_int,C: int] :
% 3.29/3.51        ( ( member_int @ X2 @ A4 )
% 3.29/3.51       => ( ( image_int_int
% 3.29/3.51            @ ^ [X4: int] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_int @ C @ bot_bot_set_int ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2366_image__constant,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,C: product_unit] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( image_o_Product_unit
% 3.29/3.51            @ ^ [X4: $o] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_Product_unit @ C @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2367_image__constant,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,C: product_unit] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( image_8730104196221521654t_unit
% 3.29/3.51            @ ^ [X4: nat] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_Product_unit @ C @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2368_image__constant,axiom,
% 3.29/3.51      ! [X2: int,A4: set_int,C: product_unit] :
% 3.29/3.51        ( ( member_int @ X2 @ A4 )
% 3.29/3.51       => ( ( image_5846526143423701914t_unit
% 3.29/3.51            @ ^ [X4: int] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_Product_unit @ C @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2369_image__constant,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,C: $o] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( image_o_o
% 3.29/3.51            @ ^ [X4: $o] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_o @ C @ bot_bot_set_o ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2370_image__constant,axiom,
% 3.29/3.51      ! [X2: nat,A4: set_nat,C: $o] :
% 3.29/3.51        ( ( member_nat @ X2 @ A4 )
% 3.29/3.51       => ( ( image_nat_o
% 3.29/3.51            @ ^ [X4: nat] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_o @ C @ bot_bot_set_o ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2371_image__constant,axiom,
% 3.29/3.51      ! [X2: int,A4: set_int,C: $o] :
% 3.29/3.51        ( ( member_int @ X2 @ A4 )
% 3.29/3.51       => ( ( image_int_o
% 3.29/3.51            @ ^ [X4: int] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_o @ C @ bot_bot_set_o ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2372_image__constant,axiom,
% 3.29/3.51      ! [X2: $o,A4: set_o,C: nat] :
% 3.29/3.51        ( ( member_o @ X2 @ A4 )
% 3.29/3.51       => ( ( image_o_nat
% 3.29/3.51            @ ^ [X4: $o] : C
% 3.29/3.51            @ A4 )
% 3.29/3.51          = ( insert_nat @ C @ bot_bot_set_nat ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_constant
% 3.29/3.51  thf(fact_2373_UN__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: rat > set_nat,F: nat > rat,A4: set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [A5: nat] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_rat_set_nat @ B5 @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(10)
% 3.29/3.51  thf(fact_2374_UN__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: nat > set_nat,F: nat > nat,A4: set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [A5: nat] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(10)
% 3.29/3.51  thf(fact_2375_UN__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: int > set_nat,F: nat > int,A4: set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_nat_set_nat
% 3.29/3.51            @ ^ [A5: nat] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(10)
% 3.29/3.51  thf(fact_2376_UN__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: nat > set_nat,F: int > nat,A4: set_int] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_int_set_nat
% 3.29/3.51            @ ^ [A5: int] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(10)
% 3.29/3.51  thf(fact_2377_UN__extend__simps_I10_J,axiom,
% 3.29/3.51      ! [B5: int > set_nat,F: int > int,A4: set_int] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_int_set_nat
% 3.29/3.51            @ ^ [A5: int] : ( B5 @ ( F @ A5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(10)
% 3.29/3.51  thf(fact_2378_UN__empty,axiom,
% 3.29/3.51      ! [B5: product_unit > set_Product_unit] :
% 3.29/3.51        ( ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2379_UN__empty,axiom,
% 3.29/3.51      ! [B5: product_unit > set_o] :
% 3.29/3.51        ( ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        = bot_bot_set_o ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2380_UN__empty,axiom,
% 3.29/3.51      ! [B5: $o > set_Product_unit] :
% 3.29/3.51        ( ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ bot_bot_set_o ) )
% 3.29/3.51        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2381_UN__empty,axiom,
% 3.29/3.51      ! [B5: $o > set_o] :
% 3.29/3.51        ( ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ bot_bot_set_o ) )
% 3.29/3.51        = bot_bot_set_o ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2382_UN__empty,axiom,
% 3.29/3.51      ! [B5: nat > set_Product_unit] :
% 3.29/3.51        ( ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ B5 @ bot_bot_set_nat ) )
% 3.29/3.51        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2383_UN__empty,axiom,
% 3.29/3.51      ! [B5: nat > set_o] :
% 3.29/3.51        ( ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ bot_bot_set_nat ) )
% 3.29/3.51        = bot_bot_set_o ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2384_UN__empty,axiom,
% 3.29/3.51      ! [B5: product_unit > set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        = bot_bot_set_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2385_UN__empty,axiom,
% 3.29/3.51      ! [B5: $o > set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ bot_bot_set_o ) )
% 3.29/3.51        = bot_bot_set_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2386_UN__empty,axiom,
% 3.29/3.51      ! [B5: nat > set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ bot_bot_set_nat ) )
% 3.29/3.51        = bot_bot_set_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2387_UN__empty,axiom,
% 3.29/3.51      ! [B5: product_unit > set_Pr1261947904930325089at_nat] :
% 3.29/3.51        ( ( comple5685304695842803022at_nat @ ( image_3617315916088684441at_nat @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.51        = bot_bo2099793752762293965at_nat ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_empty
% 3.29/3.51  thf(fact_2388_UN__mono,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,G: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( ord_le1268244103169919719at_nat @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.51              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_mono
% 3.29/3.51  thf(fact_2389_UN__mono,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,G: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( ord_le3146513528884898305at_nat @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_mono
% 3.29/3.51  thf(fact_2390_UN__mono,axiom,
% 3.29/3.51      ! [A4: set_o,B5: set_o,F: $o > set_nat,G: $o > set_nat] :
% 3.29/3.51        ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: $o] :
% 3.29/3.51              ( ( member_o @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_mono
% 3.29/3.51  thf(fact_2391_UN__mono,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: set_nat,F: nat > set_nat,G: nat > set_nat] :
% 3.29/3.51        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: nat] :
% 3.29/3.51              ( ( member_nat @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_mono
% 3.29/3.51  thf(fact_2392_UN__mono,axiom,
% 3.29/3.51      ! [A4: set_int,B5: set_int,F: int > set_nat,G: int > set_nat] :
% 3.29/3.51        ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.51       => ( ! [X: int] :
% 3.29/3.51              ( ( member_int @ X @ A4 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.51         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_mono
% 3.29/3.51  thf(fact_2393_UN__least,axiom,
% 3.29/3.51      ! [A4: set_Pr4329608150637261639at_nat,B5: produc3843707927480180839at_nat > set_nat,C3: set_nat] :
% 3.29/3.51        ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.51            ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ B5 @ A4 ) ) @ C3 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_least
% 3.29/3.51  thf(fact_2394_UN__least,axiom,
% 3.29/3.51      ! [A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_nat,C3: set_nat] :
% 3.29/3.51        ( ! [X: product_prod_nat_nat] :
% 3.29/3.51            ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) @ C3 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_least
% 3.29/3.51  thf(fact_2395_UN__least,axiom,
% 3.29/3.51      ! [A4: set_o,B5: $o > set_nat,C3: set_nat] :
% 3.29/3.51        ( ! [X: $o] :
% 3.29/3.51            ( ( member_o @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) @ C3 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_least
% 3.29/3.51  thf(fact_2396_UN__least,axiom,
% 3.29/3.51      ! [A4: set_nat,B5: nat > set_nat,C3: set_nat] :
% 3.29/3.51        ( ! [X: nat] :
% 3.29/3.51            ( ( member_nat @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) @ C3 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_least
% 3.29/3.51  thf(fact_2397_UN__least,axiom,
% 3.29/3.51      ! [A4: set_int,B5: int > set_nat,C3: set_nat] :
% 3.29/3.51        ( ! [X: int] :
% 3.29/3.51            ( ( member_int @ X @ A4 )
% 3.29/3.51           => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) @ C3 ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_least
% 3.29/3.51  thf(fact_2398_UN__upper,axiom,
% 3.29/3.51      ! [A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,B5: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.51        ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_upper
% 3.29/3.51  thf(fact_2399_UN__upper,axiom,
% 3.29/3.51      ! [A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_upper
% 3.29/3.51  thf(fact_2400_UN__upper,axiom,
% 3.29/3.51      ! [A: $o,A4: set_o,B5: $o > set_nat] :
% 3.29/3.51        ( ( member_o @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_upper
% 3.29/3.51  thf(fact_2401_UN__upper,axiom,
% 3.29/3.51      ! [A: nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.51        ( ( member_nat @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_upper
% 3.29/3.51  thf(fact_2402_UN__upper,axiom,
% 3.29/3.51      ! [A: int,A4: set_int,B5: int > set_nat] :
% 3.29/3.51        ( ( member_int @ A @ A4 )
% 3.29/3.51       => ( ord_less_eq_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_upper
% 3.29/3.51  thf(fact_2403_Union__natural,axiom,
% 3.29/3.51      ! [F: int > int] :
% 3.29/3.51        ( ( comp_s8709038167382007543et_int @ comple3221217463730067765et_int @ ( image_524474410958335435et_int @ ( image_int_int @ F ) ) )
% 3.29/3.51        = ( comp_s2487324123861929025et_int @ ( image_int_int @ F ) @ comple3221217463730067765et_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Union_natural
% 3.29/3.51  thf(fact_2404_Union__natural,axiom,
% 3.29/3.51      ! [F: nat > rat] :
% 3.29/3.51        ( ( comp_s703482200030188019et_nat @ comple3890839924845867745et_rat @ ( image_4408659257933336347et_rat @ ( image_nat_rat @ F ) ) )
% 3.29/3.51        = ( comp_s6435139744279249717et_nat @ ( image_nat_rat @ F ) @ comple7399068483239264473et_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Union_natural
% 3.29/3.51  thf(fact_2405_Union__natural,axiom,
% 3.29/3.51      ! [F: nat > int] :
% 3.29/3.51        ( ( comp_s1975749275458958491et_nat @ comple3221217463730067765et_int @ ( image_3739036796817536367et_int @ ( image_nat_int @ F ) ) )
% 3.29/3.51        = ( comp_s3768223441818958217et_nat @ ( image_nat_int @ F ) @ comple7399068483239264473et_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Union_natural
% 3.29/3.51  thf(fact_2406_Union__natural,axiom,
% 3.29/3.51      ! [F: int > nat] :
% 3.29/3.51        ( ( comp_s6907669228194913343et_int @ comple7399068483239264473et_nat @ ( image_4702325430467532143et_nat @ ( image_int_nat @ F ) ) )
% 3.29/3.51        = ( comp_s5712175470073906149et_int @ ( image_int_nat @ F ) @ comple3221217463730067765et_int ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Union_natural
% 3.29/3.51  thf(fact_2407_Union__natural,axiom,
% 3.29/3.51      ! [F: nat > nat] :
% 3.29/3.51        ( ( comp_s174380336271864291et_nat @ comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ ( image_nat_nat @ F ) ) )
% 3.29/3.51        = ( comp_s6993074788030935341et_nat @ ( image_nat_nat @ F ) @ comple7399068483239264473et_nat ) ) ).
% 3.29/3.51  
% 3.29/3.51  % Union_natural
% 3.29/3.51  thf(fact_2408_image__Union,axiom,
% 3.29/3.51      ! [F: int > int,S5: set_set_int] :
% 3.29/3.51        ( ( image_int_int @ F @ ( comple3221217463730067765et_int @ S5 ) )
% 3.29/3.51        = ( comple3221217463730067765et_int @ ( image_524474410958335435et_int @ ( image_int_int @ F ) @ S5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_Union
% 3.29/3.51  thf(fact_2409_image__Union,axiom,
% 3.29/3.51      ! [F: int > nat,S5: set_set_int] :
% 3.29/3.51        ( ( image_int_nat @ F @ ( comple3221217463730067765et_int @ S5 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_4702325430467532143et_nat @ ( image_int_nat @ F ) @ S5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_Union
% 3.29/3.51  thf(fact_2410_image__Union,axiom,
% 3.29/3.51      ! [F: nat > rat,S5: set_set_nat] :
% 3.29/3.51        ( ( image_nat_rat @ F @ ( comple7399068483239264473et_nat @ S5 ) )
% 3.29/3.51        = ( comple3890839924845867745et_rat @ ( image_4408659257933336347et_rat @ ( image_nat_rat @ F ) @ S5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_Union
% 3.29/3.51  thf(fact_2411_image__Union,axiom,
% 3.29/3.51      ! [F: nat > int,S5: set_set_nat] :
% 3.29/3.51        ( ( image_nat_int @ F @ ( comple7399068483239264473et_nat @ S5 ) )
% 3.29/3.51        = ( comple3221217463730067765et_int @ ( image_3739036796817536367et_int @ ( image_nat_int @ F ) @ S5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_Union
% 3.29/3.51  thf(fact_2412_image__Union,axiom,
% 3.29/3.51      ! [F: nat > nat,S5: set_set_nat] :
% 3.29/3.51        ( ( image_nat_nat @ F @ ( comple7399068483239264473et_nat @ S5 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ ( image_nat_nat @ F ) @ S5 ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % image_Union
% 3.29/3.51  thf(fact_2413_UN__extend__simps_I8_J,axiom,
% 3.29/3.51      ! [B5: nat > set_nat,A4: set_set_nat] :
% 3.29/3.51        ( ( comple7399068483239264473et_nat
% 3.29/3.51          @ ( image_7916887816326733075et_nat
% 3.29/3.51            @ ^ [Y5: set_nat] : ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ Y5 ) )
% 3.29/3.51            @ A4 ) )
% 3.29/3.51        = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ ( comple7399068483239264473et_nat @ A4 ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % UN_extend_simps(8)
% 3.29/3.51  thf(fact_2414_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_int,F: int > product_unit,C: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: int] :
% 3.29/3.51                  ( ( member_int @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2415_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,F: product_unit > product_unit,C: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_unit] :
% 3.29/3.51                  ( ( member_Product_unit @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2416_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_o,F: $o > product_unit,C: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: $o] :
% 3.29/3.51                  ( ( member_o @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2417_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_nat,F: nat > product_unit,C: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: nat] :
% 3.29/3.51                  ( ( member_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2418_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_int,F: int > set_nat,C: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: int] :
% 3.29/3.51                  ( ( member_int @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2419_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,F: product_unit > set_nat,C: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_unit] :
% 3.29/3.51                  ( ( member_Product_unit @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2420_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_o,F: $o > set_nat,C: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: $o] :
% 3.29/3.51                  ( ( member_o @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2421_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_nat,F: nat > set_nat,C: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: nat] :
% 3.29/3.51                  ( ( member_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2422_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,C: product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2423_INF__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,C: set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ ( F @ I4 ) @ C ) )
% 3.29/3.51         => ( ( ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % INF_eq_iff
% 3.29/3.51  thf(fact_2424_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_int,C: product_unit,F: int > product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: int] :
% 3.29/3.51                  ( ( member_int @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2425_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,C: product_unit,F: product_unit > product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_unit] :
% 3.29/3.51                  ( ( member_Product_unit @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2426_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_o,C: product_unit,F: $o > product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: $o] :
% 3.29/3.51                  ( ( member_o @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2427_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_nat,C: product_unit,F: nat > product_unit] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: nat] :
% 3.29/3.51                  ( ( member_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2428_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_int,C: set_nat,F: int > set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_int )
% 3.29/3.51       => ( ! [I4: int] :
% 3.29/3.51              ( ( member_int @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: int] :
% 3.29/3.51                  ( ( member_int @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2429_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Product_unit,C: set_nat,F: product_unit > set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.51       => ( ! [I4: product_unit] :
% 3.29/3.51              ( ( member_Product_unit @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_unit] :
% 3.29/3.51                  ( ( member_Product_unit @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2430_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_o,C: set_nat,F: $o > set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_o )
% 3.29/3.51       => ( ! [I4: $o] :
% 3.29/3.51              ( ( member_o @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: $o] :
% 3.29/3.51                  ( ( member_o @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2431_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_nat,C: set_nat,F: nat > set_nat] :
% 3.29/3.51        ( ( I3 != bot_bot_set_nat )
% 3.29/3.51       => ( ! [I4: nat] :
% 3.29/3.51              ( ( member_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: nat] :
% 3.29/3.51                  ( ( member_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2432_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,C: product_unit,F: product_prod_nat_nat > product_unit] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_le3221252021190050221t_unit @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2433_SUP__eq__iff,axiom,
% 3.29/3.51      ! [I3: set_Pr1261947904930325089at_nat,C: set_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.51        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.51       => ( ! [I4: product_prod_nat_nat] :
% 3.29/3.51              ( ( member8440522571783428010at_nat @ I4 @ I3 )
% 3.29/3.51             => ( ord_less_eq_set_nat @ C @ ( F @ I4 ) ) )
% 3.29/3.51         => ( ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ I3 ) )
% 3.29/3.51              = C )
% 3.29/3.51            = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.51                  ( ( member8440522571783428010at_nat @ X4 @ I3 )
% 3.29/3.51                 => ( ( F @ X4 )
% 3.29/3.51                    = C ) ) ) ) ) ) ).
% 3.29/3.51  
% 3.29/3.51  % SUP_eq_iff
% 3.29/3.51  thf(fact_2434_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: char > product_unit,A: product_unit,X2: char] :
% 3.29/3.51        ( ( ( image_4337914935673063477t_unit @ F @ top_top_set_char )
% 3.29/3.51          = ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2435_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: char > $o,A: $o,X2: char] :
% 3.29/3.51        ( ( ( image_char_o @ F @ top_top_set_char )
% 3.29/3.51          = ( insert_o @ A @ bot_bot_set_o ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2436_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: char > nat,A: nat,X2: char] :
% 3.29/3.51        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.51          = ( insert_nat @ A @ bot_bot_set_nat ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2437_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: rat > product_unit,A: product_unit,X2: rat] :
% 3.29/3.51        ( ( ( image_2327579789247107822t_unit @ F @ top_top_set_rat )
% 3.29/3.51          = ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2438_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: rat > $o,A: $o,X2: rat] :
% 3.29/3.51        ( ( ( image_rat_o @ F @ top_top_set_rat )
% 3.29/3.51          = ( insert_o @ A @ bot_bot_set_o ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2439_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: rat > nat,A: nat,X2: rat] :
% 3.29/3.51        ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.51          = ( insert_nat @ A @ bot_bot_set_nat ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2440_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: nat > rat,A: rat,X2: nat] :
% 3.29/3.51        ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.51          = ( insert_rat @ A @ bot_bot_set_rat ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2441_range__eq__singletonD,axiom,
% 3.29/3.51      ! [F: nat > int,A: int,X2: nat] :
% 3.29/3.51        ( ( ( image_nat_int @ F @ top_top_set_nat )
% 3.29/3.51          = ( insert_int @ A @ bot_bot_set_int ) )
% 3.29/3.51       => ( ( F @ X2 )
% 3.29/3.51          = A ) ) ).
% 3.29/3.51  
% 3.29/3.51  % range_eq_singletonD
% 3.29/3.51  thf(fact_2442_range__eq__singletonD,axiom,
% 3.29/3.52      ! [F: nat > product_unit,A: product_unit,X2: nat] :
% 3.29/3.52        ( ( ( image_8730104196221521654t_unit @ F @ top_top_set_nat )
% 3.29/3.52          = ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52       => ( ( F @ X2 )
% 3.29/3.52          = A ) ) ).
% 3.29/3.52  
% 3.29/3.52  % range_eq_singletonD
% 3.29/3.52  thf(fact_2443_range__eq__singletonD,axiom,
% 3.29/3.52      ! [F: nat > $o,A: $o,X2: nat] :
% 3.29/3.52        ( ( ( image_nat_o @ F @ top_top_set_nat )
% 3.29/3.52          = ( insert_o @ A @ bot_bot_set_o ) )
% 3.29/3.52       => ( ( F @ X2 )
% 3.29/3.52          = A ) ) ).
% 3.29/3.52  
% 3.29/3.52  % range_eq_singletonD
% 3.29/3.52  thf(fact_2444_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_Pr4329608150637261639at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,G: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.52        ( ( ord_le1268244103169919719at_nat @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.52              ( ( member8757157785044589968at_nat @ X @ B5 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2445_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_Pr1261947904930325089at_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,G: product_prod_nat_nat > set_nat] :
% 3.29/3.52        ( ( ord_le3146513528884898305at_nat @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.52              ( ( member8440522571783428010at_nat @ X @ B5 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2446_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_o,A4: set_o,F: $o > set_nat,G: $o > set_nat] :
% 3.29/3.52        ( ( ord_less_eq_set_o @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ B5 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2447_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_nat,A4: set_nat,F: nat > set_nat,G: nat > set_nat] :
% 3.29/3.52        ( ( ord_less_eq_set_nat @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ B5 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2448_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_int,A4: set_int,F: int > set_nat,G: int > set_nat] :
% 3.29/3.52        ( ( ord_less_eq_set_int @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ B5 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2449_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_Pr4329608150637261639at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit,G: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.52        ( ( ord_le1268244103169919719at_nat @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.52              ( ( member8757157785044589968at_nat @ X @ B5 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2450_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_Pr1261947904930325089at_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,G: product_prod_nat_nat > product_unit] :
% 3.29/3.52        ( ( ord_le3146513528884898305at_nat @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.52              ( ( member8440522571783428010at_nat @ X @ B5 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2451_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_o,A4: set_o,F: $o > product_unit,G: $o > product_unit] :
% 3.29/3.52        ( ( ord_less_eq_set_o @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ B5 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2452_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_nat,A4: set_nat,F: nat > product_unit,G: nat > product_unit] :
% 3.29/3.52        ( ( ord_less_eq_set_nat @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ B5 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2453_INF__superset__mono,axiom,
% 3.29/3.52      ! [B5: set_int,A4: set_int,F: int > product_unit,G: int > product_unit] :
% 3.29/3.52        ( ( ord_less_eq_set_int @ B5 @ A4 )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ B5 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_superset_mono
% 3.29/3.52  thf(fact_2454_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,G: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.52        ( ( ord_le1268244103169919719at_nat @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.52              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2455_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,G: product_prod_nat_nat > set_nat] :
% 3.29/3.52        ( ( ord_le3146513528884898305at_nat @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.52              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2456_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_o,B5: set_o,F: $o > set_nat,G: $o > set_nat] :
% 3.29/3.52        ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2457_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: set_nat,F: nat > set_nat,G: nat > set_nat] :
% 3.29/3.52        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2458_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_int,B5: set_int,F: int > set_nat,G: int > set_nat] :
% 3.29/3.52        ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_set_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2459_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > product_unit,G: produc3843707927480180839at_nat > product_unit] :
% 3.29/3.52        ( ( ord_le1268244103169919719at_nat @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.52              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2460_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,G: product_prod_nat_nat > product_unit] :
% 3.29/3.52        ( ( ord_le3146513528884898305at_nat @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.52              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2461_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_o,B5: set_o,F: $o > product_unit,G: $o > product_unit] :
% 3.29/3.52        ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2462_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: set_nat,F: nat > product_unit,G: nat > product_unit] :
% 3.29/3.52        ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2463_SUP__subset__mono,axiom,
% 3.29/3.52      ! [A4: set_int,B5: set_int,F: int > product_unit,G: int > product_unit] :
% 3.29/3.52        ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_subset_mono
% 3.29/3.52  thf(fact_2464_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple2584293577114468500t_unit
% 3.29/3.52              @ ( image_405062704495631173t_unit
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_Product_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple2584293577114468500t_unit
% 3.29/3.52              @ ( image_405062704495631173t_unit
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2465_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_o,C: product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple2584293577114468500t_unit
% 3.29/3.52              @ ( image_o_Product_unit
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_Product_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple2584293577114468500t_unit
% 3.29/3.52              @ ( image_o_Product_unit
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2466_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_nat,C: product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple2584293577114468500t_unit
% 3.29/3.52              @ ( image_8730104196221521654t_unit
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_Product_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple2584293577114468500t_unit
% 3.29/3.52              @ ( image_8730104196221521654t_unit
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2467_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_char] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2468_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_o,C: set_char] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2469_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_nat,C: set_char] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2470_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_rat] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2471_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_o,C: set_rat] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2472_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_nat,C: set_rat] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2473_INF__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_int] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_constant
% 3.29/3.52  thf(fact_2474_INF__empty,axiom,
% 3.29/3.52      ! [F: product_unit > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_Product_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2475_INF__empty,axiom,
% 3.29/3.52      ! [F: $o > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ bot_bot_set_o ) )
% 3.29/3.52        = top_top_Product_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2476_INF__empty,axiom,
% 3.29/3.52      ! [F: nat > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ bot_bot_set_nat ) )
% 3.29/3.52        = top_top_Product_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2477_INF__empty,axiom,
% 3.29/3.52      ! [F: product_unit > set_char] :
% 3.29/3.52        ( ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_char ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2478_INF__empty,axiom,
% 3.29/3.52      ! [F: $o > set_char] :
% 3.29/3.52        ( ( comple7965528767983648192t_char @ ( image_o_set_char @ F @ bot_bot_set_o ) )
% 3.29/3.52        = top_top_set_char ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2479_INF__empty,axiom,
% 3.29/3.52      ! [F: nat > set_char] :
% 3.29/3.52        ( ( comple7965528767983648192t_char @ ( image_nat_set_char @ F @ bot_bot_set_nat ) )
% 3.29/3.52        = top_top_set_char ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2480_INF__empty,axiom,
% 3.29/3.52      ! [F: product_unit > set_rat] :
% 3.29/3.52        ( ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2481_INF__empty,axiom,
% 3.29/3.52      ! [F: $o > set_rat] :
% 3.29/3.52        ( ( comple4298007329820168263et_rat @ ( image_o_set_rat @ F @ bot_bot_set_o ) )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2482_INF__empty,axiom,
% 3.29/3.52      ! [F: nat > set_rat] :
% 3.29/3.52        ( ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ F @ bot_bot_set_nat ) )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2483_INF__empty,axiom,
% 3.29/3.52      ! [F: product_unit > set_int] :
% 3.29/3.52        ( ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_int ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_empty
% 3.29/3.52  thf(fact_2484_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4687483117567863418t_unit
% 3.29/3.52              @ ( image_405062704495631173t_unit
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_Product_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4687483117567863418t_unit
% 3.29/3.52              @ ( image_405062704495631173t_unit
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2485_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_o,C: product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple4687483117567863418t_unit
% 3.29/3.52              @ ( image_o_Product_unit
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_Product_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple4687483117567863418t_unit
% 3.29/3.52              @ ( image_o_Product_unit
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2486_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_nat,C: product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4687483117567863418t_unit
% 3.29/3.52              @ ( image_8730104196221521654t_unit
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_Product_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4687483117567863418t_unit
% 3.29/3.52              @ ( image_8730104196221521654t_unit
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2487_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_Product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_7778121751606633509t_unit
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_7778121751606633509t_unit
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2488_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_o] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_6930536745178679216_set_o
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_6930536745178679216_set_o
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2489_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_o,C: set_Product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_663195431845683034t_unit
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_663195431845683034t_unit
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2490_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_o,C: set_o] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_o_set_o
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_o_set_o
% 3.29/3.52                @ ^ [Y5: $o] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2491_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_nat,C: set_Product_unit] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_4824033694279209942t_unit
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_4824033694279209942t_unit
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2492_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_nat,C: set_o] :
% 3.29/3.52        ( ( ( A4 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_nat_set_o
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( A4 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_nat_set_o
% 3.29/3.52                @ ^ [Y5: nat] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2493_SUP__constant,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_nat] :
% 3.29/3.52        ( ( ( A4 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [Y5: product_unit] : C
% 3.29/3.52                @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_constant
% 3.29/3.52  thf(fact_2494_SUP__empty,axiom,
% 3.29/3.52      ! [F: product_unit > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = bot_bot_Product_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2495_SUP__empty,axiom,
% 3.29/3.52      ! [F: $o > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ bot_bot_set_o ) )
% 3.29/3.52        = bot_bot_Product_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2496_SUP__empty,axiom,
% 3.29/3.52      ! [F: nat > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ bot_bot_set_nat ) )
% 3.29/3.52        = bot_bot_Product_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2497_SUP__empty,axiom,
% 3.29/3.52      ! [F: product_unit > set_Product_unit] :
% 3.29/3.52        ( ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2498_SUP__empty,axiom,
% 3.29/3.52      ! [F: product_unit > set_o] :
% 3.29/3.52        ( ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = bot_bot_set_o ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2499_SUP__empty,axiom,
% 3.29/3.52      ! [F: $o > set_Product_unit] :
% 3.29/3.52        ( ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ F @ bot_bot_set_o ) )
% 3.29/3.52        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2500_SUP__empty,axiom,
% 3.29/3.52      ! [F: $o > set_o] :
% 3.29/3.52        ( ( comple90263536869209701_set_o @ ( image_o_set_o @ F @ bot_bot_set_o ) )
% 3.29/3.52        = bot_bot_set_o ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2501_SUP__empty,axiom,
% 3.29/3.52      ! [F: nat > set_Product_unit] :
% 3.29/3.52        ( ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ F @ bot_bot_set_nat ) )
% 3.29/3.52        = bot_bo3957492148770167129t_unit ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2502_SUP__empty,axiom,
% 3.29/3.52      ! [F: nat > set_o] :
% 3.29/3.52        ( ( comple90263536869209701_set_o @ ( image_nat_set_o @ F @ bot_bot_set_nat ) )
% 3.29/3.52        = bot_bot_set_o ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2503_SUP__empty,axiom,
% 3.29/3.52      ! [F: product_unit > set_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = bot_bot_set_nat ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_empty
% 3.29/3.52  thf(fact_2504_INT__empty,axiom,
% 3.29/3.52      ! [B5: product_unit > set_char] :
% 3.29/3.52        ( ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_char ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2505_INT__empty,axiom,
% 3.29/3.52      ! [B5: $o > set_char] :
% 3.29/3.52        ( ( comple7965528767983648192t_char @ ( image_o_set_char @ B5 @ bot_bot_set_o ) )
% 3.29/3.52        = top_top_set_char ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2506_INT__empty,axiom,
% 3.29/3.52      ! [B5: nat > set_char] :
% 3.29/3.52        ( ( comple7965528767983648192t_char @ ( image_nat_set_char @ B5 @ bot_bot_set_nat ) )
% 3.29/3.52        = top_top_set_char ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2507_INT__empty,axiom,
% 3.29/3.52      ! [B5: product_unit > set_rat] :
% 3.29/3.52        ( ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2508_INT__empty,axiom,
% 3.29/3.52      ! [B5: $o > set_rat] :
% 3.29/3.52        ( ( comple4298007329820168263et_rat @ ( image_o_set_rat @ B5 @ bot_bot_set_o ) )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2509_INT__empty,axiom,
% 3.29/3.52      ! [B5: nat > set_rat] :
% 3.29/3.52        ( ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ B5 @ bot_bot_set_nat ) )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2510_INT__empty,axiom,
% 3.29/3.52      ! [B5: product_unit > set_int] :
% 3.29/3.52        ( ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_int ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2511_INT__empty,axiom,
% 3.29/3.52      ! [B5: $o > set_int] :
% 3.29/3.52        ( ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ bot_bot_set_o ) )
% 3.29/3.52        = top_top_set_int ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2512_INT__empty,axiom,
% 3.29/3.52      ! [B5: nat > set_int] :
% 3.29/3.52        ( ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ bot_bot_set_nat ) )
% 3.29/3.52        = top_top_set_int ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2513_INT__empty,axiom,
% 3.29/3.52      ! [B5: product_unit > set_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ B5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        = top_top_set_nat ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_empty
% 3.29/3.52  thf(fact_2514_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_int,C: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( complete_Inf_Inf_nat
% 3.29/3.52            @ ( image_int_nat
% 3.29/3.52              @ ^ [X4: int] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2515_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_nat,C: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( complete_Inf_Inf_nat
% 3.29/3.52            @ ( image_nat_nat
% 3.29/3.52              @ ^ [X4: nat] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2516_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_int,C: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( complete_Inf_Inf_int
% 3.29/3.52            @ ( image_int_int
% 3.29/3.52              @ ^ [X4: int] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2517_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( complete_Inf_Inf_int
% 3.29/3.52            @ ( image_873079544045703924it_int
% 3.29/3.52              @ ^ [X4: product_unit] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2518_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_o,C: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( complete_Inf_Inf_int
% 3.29/3.52            @ ( image_o_int
% 3.29/3.52              @ ^ [X4: $o] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2519_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_nat,C: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( complete_Inf_Inf_int
% 3.29/3.52            @ ( image_nat_int
% 3.29/3.52              @ ^ [X4: nat] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2520_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( comple2584293577114468500t_unit
% 3.29/3.52            @ ( image_405062704495631173t_unit
% 3.29/3.52              @ ^ [X4: product_unit] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2521_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_o,C: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( comple2584293577114468500t_unit
% 3.29/3.52            @ ( image_o_Product_unit
% 3.29/3.52              @ ^ [X4: $o] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2522_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_nat,C: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( comple2584293577114468500t_unit
% 3.29/3.52            @ ( image_8730104196221521654t_unit
% 3.29/3.52              @ ^ [X4: nat] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2523_cINF__const,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( comple7806235888213564991et_nat
% 3.29/3.52            @ ( image_8173849991827986510et_nat
% 3.29/3.52              @ ^ [X4: product_unit] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_const
% 3.29/3.52  thf(fact_2524_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_int,C: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( complete_Sup_Sup_nat
% 3.29/3.52            @ ( image_int_nat
% 3.29/3.52              @ ^ [X4: int] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2525_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_nat,C: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( complete_Sup_Sup_nat
% 3.29/3.52            @ ( image_nat_nat
% 3.29/3.52              @ ^ [X4: nat] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2526_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_int,C: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( complete_Sup_Sup_int
% 3.29/3.52            @ ( image_int_int
% 3.29/3.52              @ ^ [X4: int] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2527_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( complete_Sup_Sup_int
% 3.29/3.52            @ ( image_873079544045703924it_int
% 3.29/3.52              @ ^ [X4: product_unit] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2528_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_o,C: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( complete_Sup_Sup_int
% 3.29/3.52            @ ( image_o_int
% 3.29/3.52              @ ^ [X4: $o] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2529_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_nat,C: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( complete_Sup_Sup_int
% 3.29/3.52            @ ( image_nat_int
% 3.29/3.52              @ ^ [X4: nat] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2530_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( comple4687483117567863418t_unit
% 3.29/3.52            @ ( image_405062704495631173t_unit
% 3.29/3.52              @ ^ [X4: product_unit] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2531_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_o,C: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( comple4687483117567863418t_unit
% 3.29/3.52            @ ( image_o_Product_unit
% 3.29/3.52              @ ^ [X4: $o] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2532_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_nat,C: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( comple4687483117567863418t_unit
% 3.29/3.52            @ ( image_8730104196221521654t_unit
% 3.29/3.52              @ ^ [X4: nat] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2533_cSUP__const,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,C: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( comple7399068483239264473et_nat
% 3.29/3.52            @ ( image_8173849991827986510et_nat
% 3.29/3.52              @ ^ [X4: product_unit] : C
% 3.29/3.52              @ A4 ) )
% 3.29/3.52          = C ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_const
% 3.29/3.52  thf(fact_2534_SUP__INF,axiom,
% 3.29/3.52      ! [P2: char > char > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_4337914935673063477t_unit
% 3.29/3.52            @ ^ [Y5: char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_char ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_8077363282794994245t_unit
% 3.29/3.52            @ ^ [X4: char > char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [Y5: char] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_to8079350907815874599r_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2535_SUP__INF,axiom,
% 3.29/3.52      ! [P2: char > rat > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_2327579789247107822t_unit
% 3.29/3.52            @ ^ [Y5: rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_rat ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_6940606515012899070t_unit
% 3.29/3.52            @ ^ [X4: rat > char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [Y5: rat] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2536_SUP__INF,axiom,
% 3.29/3.52      ! [P2: char > nat > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_8730104196221521654t_unit
% 3.29/3.52            @ ^ [Y5: nat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_nat ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_4600008085730780422t_unit
% 3.29/3.52            @ ^ [X4: nat > char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [Y5: nat] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_nat_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2537_SUP__INF,axiom,
% 3.29/3.52      ! [P2: char > int > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_5846526143423701914t_unit
% 3.29/3.52            @ ^ [Y5: int] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_int ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_4409302170498516394t_unit
% 3.29/3.52            @ ^ [X4: int > char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_5846526143423701914t_unit
% 3.29/3.52                  @ ^ [Y5: int] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_int ) )
% 3.29/3.52            @ top_top_set_int_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2538_SUP__INF,axiom,
% 3.29/3.52      ! [P2: rat > char > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_4337914935673063477t_unit
% 3.29/3.52            @ ^ [Y5: char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_char ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_7615136836863079294t_unit
% 3.29/3.52            @ ^ [X4: char > rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [Y5: char] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_char_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2539_SUP__INF,axiom,
% 3.29/3.52      ! [P2: rat > rat > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_2327579789247107822t_unit
% 3.29/3.52            @ ^ [Y5: rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_1193274288206594871t_unit
% 3.29/3.52            @ ^ [X4: rat > rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [Y5: rat] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2540_SUP__INF,axiom,
% 3.29/3.52      ! [P2: rat > nat > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_8730104196221521654t_unit
% 3.29/3.52            @ ^ [Y5: nat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_nat ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_340470173791133503t_unit
% 3.29/3.52            @ ^ [X4: nat > rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [Y5: nat] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_nat_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2541_SUP__INF,axiom,
% 3.29/3.52      ! [P2: rat > int > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_5846526143423701914t_unit
% 3.29/3.52            @ ^ [Y5: int] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_int ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_4174709274675160035t_unit
% 3.29/3.52            @ ^ [X4: int > rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_5846526143423701914t_unit
% 3.29/3.52                  @ ^ [Y5: int] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_int ) )
% 3.29/3.52            @ top_top_set_int_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2542_SUP__INF,axiom,
% 3.29/3.52      ! [P2: nat > char > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_4337914935673063477t_unit
% 3.29/3.52            @ ^ [Y5: char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [X4: nat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_char ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_108929247839792006t_unit
% 3.29/3.52            @ ^ [X4: char > nat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [Y5: char] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_char_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2543_SUP__INF,axiom,
% 3.29/3.52      ! [P2: nat > rat > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_2327579789247107822t_unit
% 3.29/3.52            @ ^ [Y5: rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [X4: nat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_rat ) )
% 3.29/3.52        = ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_2910438736038083391t_unit
% 3.29/3.52            @ ^ [X4: rat > nat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [Y5: rat] : ( P2 @ ( X4 @ Y5 ) @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_INF
% 3.29/3.52  thf(fact_2544_INF__SUP,axiom,
% 3.29/3.52      ! [P2: char > char > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_4337914935673063477t_unit
% 3.29/3.52            @ ^ [Y5: char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_char ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_8077363282794994245t_unit
% 3.29/3.52            @ ^ [F2: char > char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_to8079350907815874599r_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2545_INF__SUP,axiom,
% 3.29/3.52      ! [P2: char > rat > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_2327579789247107822t_unit
% 3.29/3.52            @ ^ [Y5: rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_rat ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_6940606515012899070t_unit
% 3.29/3.52            @ ^ [F2: rat > char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2546_INF__SUP,axiom,
% 3.29/3.52      ! [P2: char > nat > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_8730104196221521654t_unit
% 3.29/3.52            @ ^ [Y5: nat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_nat ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_4600008085730780422t_unit
% 3.29/3.52            @ ^ [F2: nat > char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [X4: nat] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_nat_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2547_INF__SUP,axiom,
% 3.29/3.52      ! [P2: char > int > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_5846526143423701914t_unit
% 3.29/3.52            @ ^ [Y5: int] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_int ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_4409302170498516394t_unit
% 3.29/3.52            @ ^ [F2: int > char] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_5846526143423701914t_unit
% 3.29/3.52                  @ ^ [X4: int] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_int ) )
% 3.29/3.52            @ top_top_set_int_char ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2548_INF__SUP,axiom,
% 3.29/3.52      ! [P2: rat > char > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_4337914935673063477t_unit
% 3.29/3.52            @ ^ [Y5: char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_char ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_7615136836863079294t_unit
% 3.29/3.52            @ ^ [F2: char > rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_char_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2549_INF__SUP,axiom,
% 3.29/3.52      ! [P2: rat > rat > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_2327579789247107822t_unit
% 3.29/3.52            @ ^ [Y5: rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_1193274288206594871t_unit
% 3.29/3.52            @ ^ [F2: rat > rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2550_INF__SUP,axiom,
% 3.29/3.52      ! [P2: rat > nat > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_8730104196221521654t_unit
% 3.29/3.52            @ ^ [Y5: nat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_nat ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_340470173791133503t_unit
% 3.29/3.52            @ ^ [F2: nat > rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [X4: nat] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_nat_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2551_INF__SUP,axiom,
% 3.29/3.52      ! [P2: rat > int > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_5846526143423701914t_unit
% 3.29/3.52            @ ^ [Y5: int] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_int ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_4174709274675160035t_unit
% 3.29/3.52            @ ^ [F2: int > rat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_5846526143423701914t_unit
% 3.29/3.52                  @ ^ [X4: int] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_int ) )
% 3.29/3.52            @ top_top_set_int_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2552_INF__SUP,axiom,
% 3.29/3.52      ! [P2: nat > char > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_4337914935673063477t_unit
% 3.29/3.52            @ ^ [Y5: char] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [X4: nat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_char ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_108929247839792006t_unit
% 3.29/3.52            @ ^ [F2: char > nat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_4337914935673063477t_unit
% 3.29/3.52                  @ ^ [X4: char] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_char ) )
% 3.29/3.52            @ top_top_set_char_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2553_INF__SUP,axiom,
% 3.29/3.52      ! [P2: nat > rat > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit
% 3.29/3.52          @ ( image_2327579789247107822t_unit
% 3.29/3.52            @ ^ [Y5: rat] :
% 3.29/3.52                ( comple4687483117567863418t_unit
% 3.29/3.52                @ ( image_8730104196221521654t_unit
% 3.29/3.52                  @ ^ [X4: nat] : ( P2 @ X4 @ Y5 )
% 3.29/3.52                  @ top_top_set_nat ) )
% 3.29/3.52            @ top_top_set_rat ) )
% 3.29/3.52        = ( comple4687483117567863418t_unit
% 3.29/3.52          @ ( image_2910438736038083391t_unit
% 3.29/3.52            @ ^ [F2: rat > nat] :
% 3.29/3.52                ( comple2584293577114468500t_unit
% 3.29/3.52                @ ( image_2327579789247107822t_unit
% 3.29/3.52                  @ ^ [X4: rat] : ( P2 @ ( F2 @ X4 ) @ X4 )
% 3.29/3.52                  @ top_top_set_rat ) )
% 3.29/3.52            @ top_top_set_rat_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_SUP
% 3.29/3.52  thf(fact_2554_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_int,M3: nat,F: int > nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_nat @ M3 @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2555_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,M3: nat,F: product_unit > nat] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_nat @ M3 @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2556_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_o,M3: nat,F: $o > nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_nat @ M3 @ ( complete_Inf_Inf_nat @ ( image_o_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2557_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_nat,M3: nat,F: nat > nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_nat @ M3 @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2558_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_int,M3: int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_int @ M3 @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2559_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,M3: int,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_int @ M3 @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2560_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_o,M3: int,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_int @ M3 @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2561_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_nat,M3: int,F: nat > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_less_eq_int @ M3 @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2562_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_int,M3: product_unit,F: int > product_unit] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ M3 @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2563_cINF__greatest,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,M3: product_unit,F: product_unit > product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ M3 @ ( F @ X ) ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ M3 @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_greatest
% 3.29/3.52  thf(fact_2564_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > nat,M: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2565_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > nat,M: nat] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2566_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_o,F: $o > nat,M: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2567_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > nat,M: nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2568_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > int,M: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2569_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > int,M: int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2570_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_o,F: $o > int,M: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2571_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > int,M: int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2572_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > product_unit,M: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2573_cSUP__least,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > product_unit,M: product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ M ) )
% 3.29/3.52         => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ M ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_least
% 3.29/3.52  thf(fact_2574_UN__constant__eq,axiom,
% 3.29/3.52      ! [A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,F: produc3843707927480180839at_nat > set_nat,C: set_nat] :
% 3.29/3.52        ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.52       => ( ! [X: produc3843707927480180839at_nat] :
% 3.29/3.52              ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.52             => ( ( F @ X )
% 3.29/3.52                = C ) )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ F @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_constant_eq
% 3.29/3.52  thf(fact_2575_UN__constant__eq,axiom,
% 3.29/3.52      ! [A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > set_nat,C: set_nat] :
% 3.29/3.52        ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.52       => ( ! [X: product_prod_nat_nat] :
% 3.29/3.52              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.52             => ( ( F @ X )
% 3.29/3.52                = C ) )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_constant_eq
% 3.29/3.52  thf(fact_2576_UN__constant__eq,axiom,
% 3.29/3.52      ! [A: $o,A4: set_o,F: $o > set_nat,C: set_nat] :
% 3.29/3.52        ( ( member_o @ A @ A4 )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( F @ X )
% 3.29/3.52                = C ) )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_constant_eq
% 3.29/3.52  thf(fact_2577_UN__constant__eq,axiom,
% 3.29/3.52      ! [A: nat,A4: set_nat,F: nat > set_nat,C: set_nat] :
% 3.29/3.52        ( ( member_nat @ A @ A4 )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ( F @ X )
% 3.29/3.52                = C ) )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_constant_eq
% 3.29/3.52  thf(fact_2578_UN__constant__eq,axiom,
% 3.29/3.52      ! [A: int,A4: set_int,F: int > set_nat,C: set_nat] :
% 3.29/3.52        ( ( member_int @ A @ A4 )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( F @ X )
% 3.29/3.52                = C ) )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat @ ( image_int_set_nat @ F @ A4 ) )
% 3.29/3.52            = C ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_constant_eq
% 3.29/3.52  thf(fact_2579_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_Pr4329608150637261639at_nat,R: set_Pr5564308138774400199at_nat,A: produc3843707927480180839at_nat,B: produc3843707927480180839at_nat] :
% 3.29/3.52        ( ( refl_o7446464703481863270at_nat @ A4 @ R )
% 3.29/3.52       => ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ A @ B ) @ R )
% 3.29/3.52         => ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.52            & ( member8757157785044589968at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2580_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_Pr1261947904930325089at_nat,R: set_Pr8693737435421807431at_nat,A: product_prod_nat_nat,B: product_prod_nat_nat] :
% 3.29/3.52        ( ( refl_o7122697186039111552at_nat @ A4 @ R )
% 3.29/3.52       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ R )
% 3.29/3.52         => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.52            & ( member8440522571783428010at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2581_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_o,R: set_Product_prod_o_o,A: $o,B: $o] :
% 3.29/3.52        ( ( refl_on_o @ A4 @ R )
% 3.29/3.52       => ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ R )
% 3.29/3.52         => ( ( member_o @ A @ A4 )
% 3.29/3.52            & ( member_o @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2582_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_se5479201105039950375at_nat,R: set_Pr7459493094073627847at_nat,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( refl_o6272981002401706822at_nat @ A4 @ R )
% 3.29/3.52       => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ R )
% 3.29/3.52         => ( ( member6273874620674182256at_nat @ A @ A4 )
% 3.29/3.52            & ( member6273874620674182256at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2583_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_se7855581050983116737at_nat,R: set_Pr4329608150637261639at_nat,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( refl_o6955724340487615712at_nat @ A4 @ R )
% 3.29/3.52       => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ R )
% 3.29/3.52         => ( ( member2643936169264416010at_nat @ A @ A4 )
% 3.29/3.52            & ( member2643936169264416010at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2584_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_nat,R: set_Pr1261947904930325089at_nat,A: nat,B: nat] :
% 3.29/3.52        ( ( refl_on_nat @ A4 @ R )
% 3.29/3.52       => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R )
% 3.29/3.52         => ( ( member_nat @ A @ A4 )
% 3.29/3.52            & ( member_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2585_refl__on__domain,axiom,
% 3.29/3.52      ! [A4: set_int,R: set_Pr958786334691620121nt_int,A: int,B: int] :
% 3.29/3.52        ( ( refl_on_int @ A4 @ R )
% 3.29/3.52       => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ R )
% 3.29/3.52         => ( ( member_int @ A @ A4 )
% 3.29/3.52            & ( member_int @ B @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % refl_on_domain
% 3.29/3.52  thf(fact_2586_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_char,B5: product_unit > set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_char @ A4 @ ( comple4338141846124676698t_char @ ( image_5325685772115642575t_char @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2587_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_char,B5: $o > set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_char @ A4 @ ( comple4338141846124676698t_char @ ( image_o_set_char @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2588_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_char,B5: nat > set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_char @ A4 @ ( comple4338141846124676698t_char @ ( image_nat_set_char @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2589_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_rat,B5: product_unit > set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_rat @ A4 @ ( comple3890839924845867745et_rat @ ( image_4665621433434589782et_rat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2590_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_rat,B5: $o > set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_rat @ A4 @ ( comple3890839924845867745et_rat @ ( image_o_set_rat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2591_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_rat,B5: nat > set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_rat @ A4 @ ( comple3890839924845867745et_rat @ ( image_nat_set_rat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2592_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_int,B5: product_unit > set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_int @ A4 @ ( comple3221217463730067765et_int @ ( image_3995998972318789802et_int @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2593_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_int,B5: $o > set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_int @ A4 @ ( comple3221217463730067765et_int @ ( image_o_set_int @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2594_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_int,B5: nat > set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_int @ A4 @ ( comple3221217463730067765et_int @ ( image_nat_set_int @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2595_INT__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_nat,B5: product_unit > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(4)
% 3.29/3.52  thf(fact_2596_relcompp__bot2,axiom,
% 3.29/3.52      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o] :
% 3.29/3.52        ( ( relcom8911704206367525917at_int @ R3 @ bot_bo5438875203632553179_int_o )
% 3.29/3.52        = bot_bo5438875203632553179_int_o ) ).
% 3.29/3.52  
% 3.29/3.52  % relcompp_bot2
% 3.29/3.52  thf(fact_2597_relcompp__bot2,axiom,
% 3.29/3.52      ! [R3: int > int > $o] :
% 3.29/3.52        ( ( relcom967497705283160040nteger @ R3 @ bot_bo341146761387662761eger_o )
% 3.29/3.52        = bot_bo341146761387662761eger_o ) ).
% 3.29/3.52  
% 3.29/3.52  % relcompp_bot2
% 3.29/3.52  thf(fact_2598_relcompp__bot1,axiom,
% 3.29/3.52      ! [R3: product_prod_nat_nat > int > $o] :
% 3.29/3.52        ( ( relcom8911704206367525917at_int @ bot_bo4898103413517107610_nat_o @ R3 )
% 3.29/3.52        = bot_bo5438875203632553179_int_o ) ).
% 3.29/3.52  
% 3.29/3.52  % relcompp_bot1
% 3.29/3.52  thf(fact_2599_relcompp__bot1,axiom,
% 3.29/3.52      ! [R3: int > code_integer > $o] :
% 3.29/3.52        ( ( relcom967497705283160040nteger @ bot_bot_int_int_o @ R3 )
% 3.29/3.52        = bot_bo341146761387662761eger_o ) ).
% 3.29/3.52  
% 3.29/3.52  % relcompp_bot1
% 3.29/3.52  thf(fact_2600_surj__diff__right,axiom,
% 3.29/3.52      ! [A: int] :
% 3.29/3.52        ( ( image_int_int
% 3.29/3.52          @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.52          @ top_top_set_int )
% 3.29/3.52        = top_top_set_int ) ).
% 3.29/3.52  
% 3.29/3.52  % surj_diff_right
% 3.29/3.52  thf(fact_2601_surj__diff__right,axiom,
% 3.29/3.52      ! [A: rat] :
% 3.29/3.52        ( ( image_rat_rat
% 3.29/3.52          @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.52          @ top_top_set_rat )
% 3.29/3.52        = top_top_set_rat ) ).
% 3.29/3.52  
% 3.29/3.52  % surj_diff_right
% 3.29/3.52  thf(fact_2602_surj__diff__right,axiom,
% 3.29/3.52      ! [A: code_integer] :
% 3.29/3.52        ( ( image_4470545334726330049nteger
% 3.29/3.52          @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.52          @ top_to4645266643341252675nteger )
% 3.29/3.52        = top_to4645266643341252675nteger ) ).
% 3.29/3.52  
% 3.29/3.52  % surj_diff_right
% 3.29/3.52  thf(fact_2603_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2604_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_o_set_char @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2605_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_nat_set_char @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2606_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2607_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_o_set_rat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2608_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2609_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2610_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_o_set_int @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2611_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2612_INT__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_nat,B5: set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( minus_minus_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(3)
% 3.29/3.52  thf(fact_2613_Sigma__Diff__distrib1,axiom,
% 3.29/3.52      ! [I3: set_nat,J3: set_nat,C3: nat > set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ ( minus_minus_set_nat @ I3 @ J3 ) @ C3 )
% 3.29/3.52        = ( minus_1356011639430497352at_nat @ ( produc457027306803732586at_nat @ I3 @ C3 ) @ ( produc457027306803732586at_nat @ J3 @ C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Diff_distrib1
% 3.29/3.52  thf(fact_2614_translation__subtract__diff,axiom,
% 3.29/3.52      ! [A: int,S2: set_int,T2: set_int] :
% 3.29/3.52        ( ( image_int_int
% 3.29/3.52          @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.52          @ ( minus_minus_set_int @ S2 @ T2 ) )
% 3.29/3.52        = ( minus_minus_set_int
% 3.29/3.52          @ ( image_int_int
% 3.29/3.52            @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.52            @ S2 )
% 3.29/3.52          @ ( image_int_int
% 3.29/3.52            @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.52            @ T2 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % translation_subtract_diff
% 3.29/3.52  thf(fact_2615_translation__subtract__diff,axiom,
% 3.29/3.52      ! [A: rat,S2: set_rat,T2: set_rat] :
% 3.29/3.52        ( ( image_rat_rat
% 3.29/3.52          @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.52          @ ( minus_minus_set_rat @ S2 @ T2 ) )
% 3.29/3.52        = ( minus_minus_set_rat
% 3.29/3.52          @ ( image_rat_rat
% 3.29/3.52            @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.52            @ S2 )
% 3.29/3.52          @ ( image_rat_rat
% 3.29/3.52            @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.52            @ T2 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % translation_subtract_diff
% 3.29/3.52  thf(fact_2616_translation__subtract__diff,axiom,
% 3.29/3.52      ! [A: code_integer,S2: set_Code_integer,T2: set_Code_integer] :
% 3.29/3.52        ( ( image_4470545334726330049nteger
% 3.29/3.52          @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.52          @ ( minus_2355218937544613996nteger @ S2 @ T2 ) )
% 3.29/3.52        = ( minus_2355218937544613996nteger
% 3.29/3.52          @ ( image_4470545334726330049nteger
% 3.29/3.52            @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.52            @ S2 )
% 3.29/3.52          @ ( image_4470545334726330049nteger
% 3.29/3.52            @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.52            @ T2 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % translation_subtract_diff
% 3.29/3.52  thf(fact_2617_Times__Diff__distrib1,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: set_nat,C3: set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ ( minus_minus_set_nat @ A4 @ B5 )
% 3.29/3.52          @ ^ [Uu: nat] : C3 )
% 3.29/3.52        = ( minus_1356011639430497352at_nat
% 3.29/3.52          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.52            @ ^ [Uu: nat] : C3 )
% 3.29/3.52          @ ( produc457027306803732586at_nat @ B5
% 3.29/3.52            @ ^ [Uu: nat] : C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Diff_distrib1
% 3.29/3.52  thf(fact_2618_Sigma__Diff__distrib2,axiom,
% 3.29/3.52      ! [I3: set_nat,A4: nat > set_nat,B5: nat > set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ I3
% 3.29/3.52          @ ^ [I2: nat] : ( minus_minus_set_nat @ ( A4 @ I2 ) @ ( B5 @ I2 ) ) )
% 3.29/3.52        = ( minus_1356011639430497352at_nat @ ( produc457027306803732586at_nat @ I3 @ A4 ) @ ( produc457027306803732586at_nat @ I3 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Diff_distrib2
% 3.29/3.52  thf(fact_2619_Sup__SUP__eq,axiom,
% 3.29/3.52      ( comple1177764198577243945_nat_o
% 3.29/3.52      = ( ^ [S4: set_Pr7010166363911110284_nat_o,X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ ( comple4364388969068068532at_nat @ ( image_4902389024228248874at_nat @ collec6321179662152712658at_nat @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq
% 3.29/3.52  thf(fact_2620_Sup__SUP__eq,axiom,
% 3.29/3.52      ( complete_Sup_Sup_o_o
% 3.29/3.52      = ( ^ [S4: set_o_o,X4: $o] : ( member_o @ X4 @ ( comple90263536869209701_set_o @ ( image_o_o_set_o @ collect_o @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq
% 3.29/3.52  thf(fact_2621_Sup__SUP__eq,axiom,
% 3.29/3.52      ( comple6496622788309502864_int_o
% 3.29/3.52      = ( ^ [S4: set_int_o,X4: int] : ( member_int @ X4 @ ( comple3221217463730067765et_int @ ( image_int_o_set_int @ collect_int @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq
% 3.29/3.52  thf(fact_2622_Sup__SUP__eq,axiom,
% 3.29/3.52      ( comple1901448594430626575_nat_o
% 3.29/3.52      = ( ^ [S4: set_Pr5582243495563764594_nat_o,X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ ( comple5685304695842803022at_nat @ ( image_7124889717316225246at_nat @ collec3392354462482085612at_nat @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq
% 3.29/3.52  thf(fact_2623_Sup__SUP__eq,axiom,
% 3.29/3.52      ( comple342879659800731223_int_o
% 3.29/3.52      = ( ^ [S4: set_Pr8049984349381595834_int_o,X4: product_prod_int_int] : ( member5262025264175285858nt_int @ X4 @ ( comple5382143125604098054nt_int @ ( image_4447441447610994254nt_int @ collec213857154873943460nt_int @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq
% 3.29/3.52  thf(fact_2624_Sup__SUP__eq,axiom,
% 3.29/3.52      ( comple8317665133742190828_nat_o
% 3.29/3.52      = ( ^ [S4: set_nat_o,X4: nat] : ( member_nat @ X4 @ ( comple7399068483239264473et_nat @ ( image_nat_o_set_nat @ collect_nat @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq
% 3.29/3.52  thf(fact_2625_Inf__INT__eq,axiom,
% 3.29/3.52      ( comple8183010123678664591_nat_o
% 3.29/3.52      = ( ^ [S4: set_Pr7010166363911110284_nat_o,X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ ( comple6751905152567503566at_nat @ ( image_4902389024228248874at_nat @ collec6321179662152712658at_nat @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq
% 3.29/3.52  thf(fact_2626_Inf__INT__eq,axiom,
% 3.29/3.52      ( complete_Inf_Inf_o_o
% 3.29/3.52      = ( ^ [S4: set_o_o,X4: $o] : ( member_o @ X4 @ ( comple3063163877087187839_set_o @ ( image_o_o_set_o @ collect_o @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq
% 3.29/3.52  thf(fact_2627_Inf__INT__eq,axiom,
% 3.29/3.52      ( comple4393433247856107946_int_o
% 3.29/3.52      = ( ^ [S4: set_int_o,X4: int] : ( member_int @ X4 @ ( comple3628384868704368283et_int @ ( image_int_o_set_int @ collect_int @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq
% 3.29/3.52  thf(fact_2628_Inf__INT__eq,axiom,
% 3.29/3.52      ( comple6265855634338933877_nat_o
% 3.29/3.52      = ( ^ [S4: set_Pr5582243495563764594_nat_o,X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ ( comple1930127330929219688at_nat @ ( image_7124889717316225246at_nat @ collec3392354462482085612at_nat @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq
% 3.29/3.52  thf(fact_2629_Inf__INT__eq,axiom,
% 3.29/3.52      ( comple4707286699709038525_int_o
% 3.29/3.52      = ( ^ [S4: set_Pr8049984349381595834_int_o,X4: product_prod_int_int] : ( member5262025264175285858nt_int @ X4 @ ( comple1626965760690514720nt_int @ ( image_4447441447610994254nt_int @ collec213857154873943460nt_int @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq
% 3.29/3.52  thf(fact_2630_Inf__INT__eq,axiom,
% 3.29/3.52      ( comple6214475593288795910_nat_o
% 3.29/3.52      = ( ^ [S4: set_nat_o,X4: nat] : ( member_nat @ X4 @ ( comple7806235888213564991et_nat @ ( image_nat_o_set_nat @ collect_nat @ S4 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq
% 3.29/3.52  thf(fact_2631_INF__Int__eq2,axiom,
% 3.29/3.52      ! [S5: set_se7592288975875140775at_nat] :
% 3.29/3.52        ( ( comple5307621999477653941_nat_o
% 3.29/3.52          @ ( image_5337237954834410540_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr7459493094073627847at_nat,X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ ( comple4403251139954110286at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq2
% 3.29/3.52  thf(fact_2632_INF__Int__eq2,axiom,
% 3.29/3.52      ! [S5: set_se5479201105039950375at_nat] :
% 3.29/3.52        ( ( comple8322679762649017525_nat_o
% 3.29/3.52          @ ( image_6595146019508340652_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr4329608150637261639at_nat,X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ ( comple6751905152567503566at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq2
% 3.29/3.52  thf(fact_2633_INF__Int__eq2,axiom,
% 3.29/3.52      ! [S5: set_se4826145725398303499at_num] :
% 3.29/3.52        ( ( comple2433913294995299363_num_o
% 3.29/3.52          @ ( image_2055017250723459638_num_o
% 3.29/3.52            @ ^ [I2: set_Pr6200539531224447659at_num,X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ ( comple6868718957223342258at_num @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq2
% 3.29/3.52  thf(fact_2634_INF__Int__eq2,axiom,
% 3.29/3.52      ! [S5: set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( comple1675732732025788397_nat_o
% 3.29/3.52          @ ( image_6923511907955291850_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr1261947904930325089at_nat,X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ ( comple1930127330929219688at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq2
% 3.29/3.52  thf(fact_2635_INF__Int__eq2,axiom,
% 3.29/3.52      ! [S5: set_se6260736226359567993nt_int] :
% 3.29/3.52        ( ( comple5770381748412298549_int_o
% 3.29/3.52          @ ( image_4446226961036766042_int_o
% 3.29/3.52            @ ^ [I2: set_Pr958786334691620121nt_int,X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ ( comple1626965760690514720nt_int @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq2
% 3.29/3.52  thf(fact_2636_SUP__Sup__eq2,axiom,
% 3.29/3.52      ! [S5: set_se7592288975875140775at_nat] :
% 3.29/3.52        ( ( comple4502628867940267931_nat_o
% 3.29/3.52          @ ( image_5337237954834410540_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr7459493094073627847at_nat,X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ ( comple7342073961973170484at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq2
% 3.29/3.52  thf(fact_2637_SUP__Sup__eq2,axiom,
% 3.29/3.52      ! [S5: set_se5479201105039950375at_nat] :
% 3.29/3.52        ( ( comple493620192902636699_nat_o
% 3.29/3.52          @ ( image_6595146019508340652_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr4329608150637261639at_nat,X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ ( comple4364388969068068532at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq2
% 3.29/3.52  thf(fact_2638_SUP__Sup__eq2,axiom,
% 3.29/3.52      ! [S5: set_se4826145725398303499at_num] :
% 3.29/3.52        ( ( comple4350791933526045961_num_o
% 3.29/3.52          @ ( image_2055017250723459638_num_o
% 3.29/3.52            @ ^ [I2: set_Pr6200539531224447659at_num,X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ ( comple1400524285282149784at_num @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq2
% 3.29/3.52  thf(fact_2639_SUP__Sup__eq2,axiom,
% 3.29/3.52      ! [S5: set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( comple3592611370556534995_nat_o
% 3.29/3.52          @ ( image_6923511907955291850_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr1261947904930325089at_nat,X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ ( comple5685304695842803022at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq2
% 3.29/3.52  thf(fact_2640_SUP__Sup__eq2,axiom,
% 3.29/3.52      ! [S5: set_se6260736226359567993nt_int] :
% 3.29/3.52        ( ( comple7687260386943045147_int_o
% 3.29/3.52          @ ( image_4446226961036766042_int_o
% 3.29/3.52            @ ^ [I2: set_Pr958786334691620121nt_int,X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ ( comple5382143125604098054nt_int @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq2
% 3.29/3.52  thf(fact_2641_SUP__Sup__eq,axiom,
% 3.29/3.52      ! [S5: set_se5479201105039950375at_nat] :
% 3.29/3.52        ( ( comple1177764198577243945_nat_o
% 3.29/3.52          @ ( image_4859512832475012440_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr4329608150637261639at_nat,X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ ( comple4364388969068068532at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq
% 3.29/3.52  thf(fact_2642_SUP__Sup__eq,axiom,
% 3.29/3.52      ! [S5: set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( comple1901448594430626575_nat_o
% 3.29/3.52          @ ( image_5253903537071781336_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr1261947904930325089at_nat,X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ ( comple5685304695842803022at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq
% 3.29/3.52  thf(fact_2643_SUP__Sup__eq,axiom,
% 3.29/3.52      ! [S5: set_set_o] :
% 3.29/3.52        ( ( complete_Sup_Sup_o_o
% 3.29/3.52          @ ( image_set_o_o_o
% 3.29/3.52            @ ^ [I2: set_o,X4: $o] : ( member_o @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: $o] : ( member_o @ X4 @ ( comple90263536869209701_set_o @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq
% 3.29/3.52  thf(fact_2644_SUP__Sup__eq,axiom,
% 3.29/3.52      ! [S5: set_set_int] :
% 3.29/3.52        ( ( comple6496622788309502864_int_o
% 3.29/3.52          @ ( image_set_int_int_o
% 3.29/3.52            @ ^ [I2: set_int,X4: int] : ( member_int @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: int] : ( member_int @ X4 @ ( comple3221217463730067765et_int @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq
% 3.29/3.52  thf(fact_2645_SUP__Sup__eq,axiom,
% 3.29/3.52      ! [S5: set_set_nat] :
% 3.29/3.52        ( ( comple8317665133742190828_nat_o
% 3.29/3.52          @ ( image_set_nat_nat_o
% 3.29/3.52            @ ^ [I2: set_nat,X4: nat] : ( member_nat @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: nat] : ( member_nat @ X4 @ ( comple7399068483239264473et_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_Sup_eq
% 3.29/3.52  thf(fact_2646_INF__Int__eq,axiom,
% 3.29/3.52      ! [S5: set_se5479201105039950375at_nat] :
% 3.29/3.52        ( ( comple8183010123678664591_nat_o
% 3.29/3.52          @ ( image_4859512832475012440_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr4329608150637261639at_nat,X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: produc3843707927480180839at_nat] : ( member8757157785044589968at_nat @ X4 @ ( comple6751905152567503566at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq
% 3.29/3.52  thf(fact_2647_INF__Int__eq,axiom,
% 3.29/3.52      ! [S5: set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( comple6265855634338933877_nat_o
% 3.29/3.52          @ ( image_5253903537071781336_nat_o
% 3.29/3.52            @ ^ [I2: set_Pr1261947904930325089at_nat,X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: product_prod_nat_nat] : ( member8440522571783428010at_nat @ X4 @ ( comple1930127330929219688at_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq
% 3.29/3.52  thf(fact_2648_INF__Int__eq,axiom,
% 3.29/3.52      ! [S5: set_set_o] :
% 3.29/3.52        ( ( complete_Inf_Inf_o_o
% 3.29/3.52          @ ( image_set_o_o_o
% 3.29/3.52            @ ^ [I2: set_o,X4: $o] : ( member_o @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: $o] : ( member_o @ X4 @ ( comple3063163877087187839_set_o @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq
% 3.29/3.52  thf(fact_2649_INF__Int__eq,axiom,
% 3.29/3.52      ! [S5: set_set_int] :
% 3.29/3.52        ( ( comple4393433247856107946_int_o
% 3.29/3.52          @ ( image_set_int_int_o
% 3.29/3.52            @ ^ [I2: set_int,X4: int] : ( member_int @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: int] : ( member_int @ X4 @ ( comple3628384868704368283et_int @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq
% 3.29/3.52  thf(fact_2650_INF__Int__eq,axiom,
% 3.29/3.52      ! [S5: set_set_nat] :
% 3.29/3.52        ( ( comple6214475593288795910_nat_o
% 3.29/3.52          @ ( image_set_nat_nat_o
% 3.29/3.52            @ ^ [I2: set_nat,X4: nat] : ( member_nat @ X4 @ I2 )
% 3.29/3.52            @ S5 ) )
% 3.29/3.52        = ( ^ [X4: nat] : ( member_nat @ X4 @ ( comple7806235888213564991et_nat @ S5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_Int_eq
% 3.29/3.52  thf(fact_2651_Sup__set__def,axiom,
% 3.29/3.52      ( comple4364388969068068532at_nat
% 3.29/3.52      = ( ^ [A6: set_se5479201105039950375at_nat] :
% 3.29/3.52            ( collec6321179662152712658at_nat
% 3.29/3.52            @ ^ [X4: produc3843707927480180839at_nat] : ( complete_Sup_Sup_o @ ( image_3568060456209098518_nat_o @ ( member8757157785044589968at_nat @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_set_def
% 3.29/3.52  thf(fact_2652_Sup__set__def,axiom,
% 3.29/3.52      ( comple90263536869209701_set_o
% 3.29/3.52      = ( ^ [A6: set_set_o] :
% 3.29/3.52            ( collect_o
% 3.29/3.52            @ ^ [X4: $o] : ( complete_Sup_Sup_o @ ( image_set_o_o @ ( member_o @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_set_def
% 3.29/3.52  thf(fact_2653_Sup__set__def,axiom,
% 3.29/3.52      ( comple3221217463730067765et_int
% 3.29/3.52      = ( ^ [A6: set_set_int] :
% 3.29/3.52            ( collect_int
% 3.29/3.52            @ ^ [X4: int] : ( complete_Sup_Sup_o @ ( image_set_int_o @ ( member_int @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_set_def
% 3.29/3.52  thf(fact_2654_Sup__set__def,axiom,
% 3.29/3.52      ( comple5685304695842803022at_nat
% 3.29/3.52      = ( ^ [A6: set_se7855581050983116737at_nat] :
% 3.29/3.52            ( collec3392354462482085612at_nat
% 3.29/3.52            @ ^ [X4: product_prod_nat_nat] : ( complete_Sup_Sup_o @ ( image_7457375456213313148_nat_o @ ( member8440522571783428010at_nat @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_set_def
% 3.29/3.52  thf(fact_2655_Sup__set__def,axiom,
% 3.29/3.52      ( comple5382143125604098054nt_int
% 3.29/3.52      = ( ^ [A6: set_se6260736226359567993nt_int] :
% 3.29/3.52            ( collec213857154873943460nt_int
% 3.29/3.52            @ ^ [X4: product_prod_int_int] : ( complete_Sup_Sup_o @ ( image_701744273176368580_int_o @ ( member5262025264175285858nt_int @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_set_def
% 3.29/3.52  thf(fact_2656_Sup__set__def,axiom,
% 3.29/3.52      ( comple7399068483239264473et_nat
% 3.29/3.52      = ( ^ [A6: set_set_nat] :
% 3.29/3.52            ( collect_nat
% 3.29/3.52            @ ^ [X4: nat] : ( complete_Sup_Sup_o @ ( image_set_nat_o @ ( member_nat @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_set_def
% 3.29/3.52  thf(fact_2657_Inf__set__def,axiom,
% 3.29/3.52      ( comple6751905152567503566at_nat
% 3.29/3.52      = ( ^ [A6: set_se5479201105039950375at_nat] :
% 3.29/3.52            ( collec6321179662152712658at_nat
% 3.29/3.52            @ ^ [X4: produc3843707927480180839at_nat] : ( complete_Inf_Inf_o @ ( image_3568060456209098518_nat_o @ ( member8757157785044589968at_nat @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_set_def
% 3.29/3.52  thf(fact_2658_Inf__set__def,axiom,
% 3.29/3.52      ( comple3063163877087187839_set_o
% 3.29/3.52      = ( ^ [A6: set_set_o] :
% 3.29/3.52            ( collect_o
% 3.29/3.52            @ ^ [X4: $o] : ( complete_Inf_Inf_o @ ( image_set_o_o @ ( member_o @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_set_def
% 3.29/3.52  thf(fact_2659_Inf__set__def,axiom,
% 3.29/3.52      ( comple3628384868704368283et_int
% 3.29/3.52      = ( ^ [A6: set_set_int] :
% 3.29/3.52            ( collect_int
% 3.29/3.52            @ ^ [X4: int] : ( complete_Inf_Inf_o @ ( image_set_int_o @ ( member_int @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_set_def
% 3.29/3.52  thf(fact_2660_Inf__set__def,axiom,
% 3.29/3.52      ( comple1930127330929219688at_nat
% 3.29/3.52      = ( ^ [A6: set_se7855581050983116737at_nat] :
% 3.29/3.52            ( collec3392354462482085612at_nat
% 3.29/3.52            @ ^ [X4: product_prod_nat_nat] : ( complete_Inf_Inf_o @ ( image_7457375456213313148_nat_o @ ( member8440522571783428010at_nat @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_set_def
% 3.29/3.52  thf(fact_2661_Inf__set__def,axiom,
% 3.29/3.52      ( comple1626965760690514720nt_int
% 3.29/3.52      = ( ^ [A6: set_se6260736226359567993nt_int] :
% 3.29/3.52            ( collec213857154873943460nt_int
% 3.29/3.52            @ ^ [X4: product_prod_int_int] : ( complete_Inf_Inf_o @ ( image_701744273176368580_int_o @ ( member5262025264175285858nt_int @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_set_def
% 3.29/3.52  thf(fact_2662_Inf__set__def,axiom,
% 3.29/3.52      ( comple7806235888213564991et_nat
% 3.29/3.52      = ( ^ [A6: set_set_nat] :
% 3.29/3.52            ( collect_nat
% 3.29/3.52            @ ^ [X4: nat] : ( complete_Inf_Inf_o @ ( image_set_nat_o @ ( member_nat @ X4 ) @ A6 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_set_def
% 3.29/3.52  thf(fact_2663_image__diff__subset,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat,B5: set_nat] : ( ord_less_eq_set_rat @ ( minus_minus_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) @ ( image_nat_rat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_diff_subset
% 3.29/3.52  thf(fact_2664_image__diff__subset,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat,B5: set_nat] : ( ord_less_eq_set_nat @ ( minus_minus_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) @ ( image_nat_nat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_diff_subset
% 3.29/3.52  thf(fact_2665_image__diff__subset,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat,B5: set_nat] : ( ord_less_eq_set_int @ ( minus_minus_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) @ ( image_nat_int @ F @ ( minus_minus_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_diff_subset
% 3.29/3.52  thf(fact_2666_image__diff__subset,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int,B5: set_int] : ( ord_less_eq_set_nat @ ( minus_minus_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) @ ( image_int_nat @ F @ ( minus_minus_set_int @ A4 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_diff_subset
% 3.29/3.52  thf(fact_2667_image__diff__subset,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int,B5: set_int] : ( ord_less_eq_set_int @ ( minus_minus_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) @ ( image_int_int @ F @ ( minus_minus_set_int @ A4 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_diff_subset
% 3.29/3.52  thf(fact_2668_Inf__INT__eq2,axiom,
% 3.29/3.52      ( comple5307621999477653941_nat_o
% 3.29/3.52      = ( ^ [S4: set_se7255092946006855566_nat_o,X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ ( comple4403251139954110286at_nat @ ( image_5694205205332509994at_nat @ collec7872792499061297490at_nat @ ( image_5235725667318448191_nat_o @ produc9020218426428501292_nat_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq2
% 3.29/3.52  thf(fact_2669_Inf__INT__eq2,axiom,
% 3.29/3.52      ( comple8322679762649017525_nat_o
% 3.29/3.52      = ( ^ [S4: set_se9180647916752606350_nat_o,X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ ( comple6751905152567503566at_nat @ ( image_4902389024228248874at_nat @ collec6321179662152712658at_nat @ ( image_6226802281960588479_nat_o @ produc410239310623530412_nat_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq2
% 3.29/3.52  thf(fact_2670_Inf__INT__eq2,axiom,
% 3.29/3.52      ( comple2433913294995299363_num_o
% 3.29/3.52      = ( ^ [S4: set_nat_num_o,X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ ( comple6868718957223342258at_num @ ( image_6580737572886966642at_num @ collec4100598399430923318at_num @ ( image_8484515203959327177_num_o @ produc4927758841916487424_num_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq2
% 3.29/3.52  thf(fact_2671_Inf__INT__eq2,axiom,
% 3.29/3.52      ( comple1675732732025788397_nat_o
% 3.29/3.52      = ( ^ [S4: set_nat_nat_o,X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ ( comple1930127330929219688at_nat @ ( image_7124889717316225246at_nat @ collec3392354462482085612at_nat @ ( image_7429393840292777309_nat_o @ produc6081775807080527818_nat_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq2
% 3.29/3.52  thf(fact_2672_Inf__INT__eq2,axiom,
% 3.29/3.52      ( comple5770381748412298549_int_o
% 3.29/3.52      = ( ^ [S4: set_int_int_o,X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ ( comple1626965760690514720nt_int @ ( image_4447441447610994254nt_int @ collec213857154873943460nt_int @ ( image_1365644804893650413_int_o @ produc4947309494688390418_int_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Inf_INT_eq2
% 3.29/3.52  thf(fact_2673_Sup__SUP__eq2,axiom,
% 3.29/3.52      ( comple4502628867940267931_nat_o
% 3.29/3.52      = ( ^ [S4: set_se7255092946006855566_nat_o,X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ ( comple7342073961973170484at_nat @ ( image_5694205205332509994at_nat @ collec7872792499061297490at_nat @ ( image_5235725667318448191_nat_o @ produc9020218426428501292_nat_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq2
% 3.29/3.52  thf(fact_2674_Sup__SUP__eq2,axiom,
% 3.29/3.52      ( comple493620192902636699_nat_o
% 3.29/3.52      = ( ^ [S4: set_se9180647916752606350_nat_o,X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ ( comple4364388969068068532at_nat @ ( image_4902389024228248874at_nat @ collec6321179662152712658at_nat @ ( image_6226802281960588479_nat_o @ produc410239310623530412_nat_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq2
% 3.29/3.52  thf(fact_2675_Sup__SUP__eq2,axiom,
% 3.29/3.52      ( comple4350791933526045961_num_o
% 3.29/3.52      = ( ^ [S4: set_nat_num_o,X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ ( comple1400524285282149784at_num @ ( image_6580737572886966642at_num @ collec4100598399430923318at_num @ ( image_8484515203959327177_num_o @ produc4927758841916487424_num_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq2
% 3.29/3.52  thf(fact_2676_Sup__SUP__eq2,axiom,
% 3.29/3.52      ( comple3592611370556534995_nat_o
% 3.29/3.52      = ( ^ [S4: set_nat_nat_o,X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ ( comple5685304695842803022at_nat @ ( image_7124889717316225246at_nat @ collec3392354462482085612at_nat @ ( image_7429393840292777309_nat_o @ produc6081775807080527818_nat_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq2
% 3.29/3.52  thf(fact_2677_Sup__SUP__eq2,axiom,
% 3.29/3.52      ( comple7687260386943045147_int_o
% 3.29/3.52      = ( ^ [S4: set_int_int_o,X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ ( comple5382143125604098054nt_int @ ( image_4447441447610994254nt_int @ collec213857154873943460nt_int @ ( image_1365644804893650413_int_o @ produc4947309494688390418_int_o @ S4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sup_SUP_eq2
% 3.29/3.52  thf(fact_2678_bot__empty__eq2,axiom,
% 3.29/3.52      ( bot_bo3364206721330744218_nat_o
% 3.29/3.52      = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ bot_bo4948859079157340979at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bot_empty_eq2
% 3.29/3.52  thf(fact_2679_bot__empty__eq2,axiom,
% 3.29/3.52      ( bot_bot_nat_num_o
% 3.29/3.52      = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ bot_bo7038385379056416535at_num ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bot_empty_eq2
% 3.29/3.52  thf(fact_2680_bot__empty__eq2,axiom,
% 3.29/3.52      ( bot_bot_int_int_o
% 3.29/3.52      = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ bot_bo1796632182523588997nt_int ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bot_empty_eq2
% 3.29/3.52  thf(fact_2681_bot__empty__eq2,axiom,
% 3.29/3.52      ( bot_bo394778441745866138_nat_o
% 3.29/3.52      = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ bot_bo228742789529271731at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bot_empty_eq2
% 3.29/3.52  thf(fact_2682_bot__empty__eq2,axiom,
% 3.29/3.52      ( bot_bot_nat_nat_o
% 3.29/3.52      = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ bot_bo2099793752762293965at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bot_empty_eq2
% 3.29/3.52  thf(fact_2683_top__empty__eq2,axiom,
% 3.29/3.52      ( top_to1326704617074743934_nat_o
% 3.29/3.52      = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ top_to5281548843312042519at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % top_empty_eq2
% 3.29/3.52  thf(fact_2684_top__empty__eq2,axiom,
% 3.29/3.52      ( top_to8903224817164384382_nat_o
% 3.29/3.52      = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ top_to6833984726390702231at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % top_empty_eq2
% 3.29/3.52  thf(fact_2685_top__empty__eq2,axiom,
% 3.29/3.52      ( top_top_nat_num_o
% 3.29/3.52      = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ top_to385025497714130939at_num ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % top_empty_eq2
% 3.29/3.52  thf(fact_2686_top__empty__eq2,axiom,
% 3.29/3.52      ( top_top_nat_nat_o
% 3.29/3.52      = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ top_to4669805908274784177at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % top_empty_eq2
% 3.29/3.52  thf(fact_2687_top__empty__eq2,axiom,
% 3.29/3.52      ( top_top_int_int_o
% 3.29/3.52      = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ top_to4366644338036079209nt_int ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % top_empty_eq2
% 3.29/3.52  thf(fact_2688_in__image__insert__iff,axiom,
% 3.29/3.52      ! [B5: set_set_int,X2: int,A4: set_int] :
% 3.29/3.52        ( ! [C2: set_int] :
% 3.29/3.52            ( ( member_set_int @ C2 @ B5 )
% 3.29/3.52           => ~ ( member_int @ X2 @ C2 ) )
% 3.29/3.52       => ( ( member_set_int @ A4 @ ( image_524474410958335435et_int @ ( insert_int @ X2 ) @ B5 ) )
% 3.29/3.52          = ( ( member_int @ X2 @ A4 )
% 3.29/3.52            & ( member_set_int @ ( minus_minus_set_int @ A4 @ ( insert_int @ X2 @ bot_bot_set_int ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % in_image_insert_iff
% 3.29/3.52  thf(fact_2689_in__image__insert__iff,axiom,
% 3.29/3.52      ! [B5: set_set_Product_unit,X2: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ! [C2: set_Product_unit] :
% 3.29/3.52            ( ( member5877623283571906838t_unit @ C2 @ B5 )
% 3.29/3.52           => ~ ( member_Product_unit @ X2 @ C2 ) )
% 3.29/3.52       => ( ( member5877623283571906838t_unit @ A4 @ ( image_4019945301284682565t_unit @ ( insert_Product_unit @ X2 ) @ B5 ) )
% 3.29/3.52          = ( ( member_Product_unit @ X2 @ A4 )
% 3.29/3.52            & ( member5877623283571906838t_unit @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % in_image_insert_iff
% 3.29/3.52  thf(fact_2690_in__image__insert__iff,axiom,
% 3.29/3.52      ! [B5: set_se5479201105039950375at_nat,X2: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ! [C2: set_Pr4329608150637261639at_nat] :
% 3.29/3.52            ( ( member6273874620674182256at_nat @ C2 @ B5 )
% 3.29/3.52           => ~ ( member8757157785044589968at_nat @ X2 @ C2 ) )
% 3.29/3.52       => ( ( member6273874620674182256at_nat @ A4 @ ( image_4303274092540115909at_nat @ ( insert9069300056098147895at_nat @ X2 ) @ B5 ) )
% 3.29/3.52          = ( ( member8757157785044589968at_nat @ X2 @ A4 )
% 3.29/3.52            & ( member6273874620674182256at_nat @ ( minus_3314409938677909166at_nat @ A4 @ ( insert9069300056098147895at_nat @ X2 @ bot_bo228742789529271731at_nat ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % in_image_insert_iff
% 3.29/3.52  thf(fact_2691_in__image__insert__iff,axiom,
% 3.29/3.52      ! [B5: set_se7855581050983116737at_nat,X2: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ! [C2: set_Pr1261947904930325089at_nat] :
% 3.29/3.52            ( ( member2643936169264416010at_nat @ C2 @ B5 )
% 3.29/3.52           => ~ ( member8440522571783428010at_nat @ X2 @ C2 ) )
% 3.29/3.52       => ( ( member2643936169264416010at_nat @ A4 @ ( image_3684629450409544005at_nat @ ( insert8211810215607154385at_nat @ X2 ) @ B5 ) )
% 3.29/3.52          = ( ( member8440522571783428010at_nat @ X2 @ A4 )
% 3.29/3.52            & ( member2643936169264416010at_nat @ ( minus_1356011639430497352at_nat @ A4 @ ( insert8211810215607154385at_nat @ X2 @ bot_bo2099793752762293965at_nat ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % in_image_insert_iff
% 3.29/3.52  thf(fact_2692_in__image__insert__iff,axiom,
% 3.29/3.52      ! [B5: set_set_o,X2: $o,A4: set_o] :
% 3.29/3.52        ( ! [C2: set_o] :
% 3.29/3.52            ( ( member_set_o @ C2 @ B5 )
% 3.29/3.52           => ~ ( member_o @ X2 @ C2 ) )
% 3.29/3.52       => ( ( member_set_o @ A4 @ ( image_set_o_set_o @ ( insert_o @ X2 ) @ B5 ) )
% 3.29/3.52          = ( ( member_o @ X2 @ A4 )
% 3.29/3.52            & ( member_set_o @ ( minus_minus_set_o @ A4 @ ( insert_o @ X2 @ bot_bot_set_o ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % in_image_insert_iff
% 3.29/3.52  thf(fact_2693_in__image__insert__iff,axiom,
% 3.29/3.52      ! [B5: set_set_nat,X2: nat,A4: set_nat] :
% 3.29/3.52        ( ! [C2: set_nat] :
% 3.29/3.52            ( ( member_set_nat @ C2 @ B5 )
% 3.29/3.52           => ~ ( member_nat @ X2 @ C2 ) )
% 3.29/3.52       => ( ( member_set_nat @ A4 @ ( image_7916887816326733075et_nat @ ( insert_nat @ X2 ) @ B5 ) )
% 3.29/3.52          = ( ( member_nat @ X2 @ A4 )
% 3.29/3.52            & ( member_set_nat @ ( minus_minus_set_nat @ A4 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % in_image_insert_iff
% 3.29/3.52  thf(fact_2694_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_char @ top_top_set_char @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2695_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_o_set_char @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_char @ top_top_set_char @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_o_set_char @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2696_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_nat_set_char @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_char @ top_top_set_char @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_char @ ( comple7965528767983648192t_char @ ( image_nat_set_char @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2697_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_rat @ top_top_set_rat @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2698_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_o_set_rat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_rat @ top_top_set_rat @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_o_set_rat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2699_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_rat @ top_top_set_rat @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_rat @ ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2700_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_int @ top_top_set_int @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2701_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_o_set_int @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_int @ top_top_set_int @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_o_set_int @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2702_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_int @ top_top_set_int @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_int @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2703_INT__extend__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_nat,B5: set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( minus_minus_set_nat @ top_top_set_nat @ B5 ) ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.52            = ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(3)
% 3.29/3.52  thf(fact_2704_INT__extend__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_nat,B5: product_unit > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = A4 ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(4)
% 3.29/3.52  thf(fact_2705_INT__extend__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Pr4329608150637261639at_nat,A4: set_nat,B5: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo228742789529271731at_nat )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = A4 ) )
% 3.29/3.52        & ( ( C3 != bot_bo228742789529271731at_nat )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_3160451284896210088et_nat
% 3.29/3.52                @ ^ [X4: produc3843707927480180839at_nat] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(4)
% 3.29/3.52  thf(fact_2706_INT__extend__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_Pr1261947904930325089at_nat,A4: set_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = A4 ) )
% 3.29/3.52        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_15824709712370754et_nat
% 3.29/3.52                @ ^ [X4: product_prod_nat_nat] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(4)
% 3.29/3.52  thf(fact_2707_INT__extend__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_nat,B5: $o > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = A4 ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_o_set_nat
% 3.29/3.52                @ ^ [X4: $o] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(4)
% 3.29/3.52  thf(fact_2708_INT__extend__simps_I4_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = A4 ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( minus_minus_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.52            = ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_nat_set_nat
% 3.29/3.52                @ ^ [X4: nat] : ( minus_minus_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_extend_simps(4)
% 3.29/3.52  thf(fact_2709_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: set_Pr4329608150637261639at_nat] : ( order_1878278401035043452at_nat @ ( insert2290795007606087959at_nat @ X2 @ bot_bo1534825418459847827at_nat ) @ ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ X2 @ X2 ) @ bot_bo4948859079157340979at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2710_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: int] : ( order_4471489696718655927on_int @ ( insert_int @ X2 @ bot_bot_set_int ) @ ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ X2 @ X2 ) @ bot_bo1796632182523588997nt_int ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2711_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: set_Pr1261947904930325089at_nat] : ( order_5942792088423767318at_nat @ ( insert9200635055090092081at_nat @ X2 @ bot_bo3083307316010499117at_nat ) @ ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ X2 @ X2 ) @ bot_bo228742789529271731at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2712_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: product_unit] : ( order_888282469287196226t_unit @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) @ ( insert4616891024742550839t_unit @ ( produc5692694829384537815t_unit @ X2 @ X2 ) @ bot_bo1654022762305692595t_unit ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2713_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: produc3843707927480180839at_nat] : ( order_2711500226769404828at_nat @ ( insert9069300056098147895at_nat @ X2 @ bot_bo228742789529271731at_nat ) @ ( insert398606708087465655at_nat @ ( produc2335810615602371415at_nat @ X2 @ X2 ) @ bot_bo7193250159860175667at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2714_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: product_prod_nat_nat] : ( order_7480980593162297270at_nat @ ( insert8211810215607154385at_nat @ X2 @ bot_bo2099793752762293965at_nat ) @ ( insert5050368324300391991at_nat @ ( produc6161850002892822231at_nat @ X2 @ X2 ) @ bot_bo5327735625951526323at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2715_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: $o] : ( order_6238756238976269133r_on_o @ ( insert_o @ X2 @ bot_bot_set_o ) @ ( insert6201435330877294327od_o_o @ ( product_Pair_o_o @ X2 @ X2 ) @ bot_bo7073875226086086771od_o_o ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2716_linear__order__on__singleton,axiom,
% 3.29/3.52      ! [X2: nat] : ( order_4473980167227706203on_nat @ ( insert_nat @ X2 @ bot_bot_set_nat ) @ ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ X2 @ X2 ) @ bot_bo2099793752762293965at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % linear_order_on_singleton
% 3.29/3.52  thf(fact_2717_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: set_Pr4329608150637261639at_nat] : ( total_5117575981256876747at_nat @ ( insert2290795007606087959at_nat @ X2 @ bot_bo1534825418459847827at_nat ) @ ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ X2 @ X2 ) @ bot_bo4948859079157340979at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2718_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: int] : ( total_on_int @ ( insert_int @ X2 @ bot_bot_set_int ) @ ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ X2 @ X2 ) @ bot_bo1796632182523588997nt_int ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2719_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: set_Pr1261947904930325089at_nat] : ( total_7212417256332265445at_nat @ ( insert9200635055090092081at_nat @ X2 @ bot_bo3083307316010499117at_nat ) @ ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ X2 @ X2 ) @ bot_bo228742789529271731at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2720_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: product_unit] : ( total_5665700600833547665t_unit @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) @ ( insert4616891024742550839t_unit @ ( produc5692694829384537815t_unit @ X2 @ X2 ) @ bot_bo1654022762305692595t_unit ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2721_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: produc3843707927480180839at_nat] : ( total_1513685709984341995at_nat @ ( insert9069300056098147895at_nat @ X2 @ bot_bo228742789529271731at_nat ) @ ( insert398606708087465655at_nat @ ( produc2335810615602371415at_nat @ X2 @ X2 ) @ bot_bo7193250159860175667at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2722_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: product_prod_nat_nat] : ( total_3592101749530773125at_nat @ ( insert8211810215607154385at_nat @ X2 @ bot_bo2099793752762293965at_nat ) @ ( insert5050368324300391991at_nat @ ( produc6161850002892822231at_nat @ X2 @ X2 ) @ bot_bo5327735625951526323at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2723_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: $o] : ( total_on_o @ ( insert_o @ X2 @ bot_bot_set_o ) @ ( insert6201435330877294327od_o_o @ ( product_Pair_o_o @ X2 @ X2 ) @ bot_bo7073875226086086771od_o_o ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2724_total__on__singleton,axiom,
% 3.29/3.52      ! [X2: nat] : ( total_on_nat @ ( insert_nat @ X2 @ bot_bot_set_nat ) @ ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ X2 @ X2 ) @ bot_bo2099793752762293965at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_singleton
% 3.29/3.52  thf(fact_2725_relation__of__def,axiom,
% 3.29/3.52      ( order_8308734813930759573at_nat
% 3.29/3.52      = ( ^ [P4: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o,A6: set_se5479201105039950375at_nat] :
% 3.29/3.52            ( collec7872792499061297490at_nat
% 3.29/3.52            @ ( produc9020218426428501292_nat_o
% 3.29/3.52              @ ^ [A5: set_Pr4329608150637261639at_nat,B4: set_Pr4329608150637261639at_nat] :
% 3.29/3.52                  ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A5 @ B4 )
% 3.29/3.52                    @ ( produc6258361011560675592at_nat @ A6
% 3.29/3.52                      @ ^ [Uu: set_Pr4329608150637261639at_nat] : A6 ) )
% 3.29/3.52                  & ( P4 @ A5 @ B4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % relation_of_def
% 3.29/3.52  thf(fact_2726_relation__of__def,axiom,
% 3.29/3.52      ( order_8809246210994205103at_nat
% 3.29/3.52      = ( ^ [P4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o,A6: set_se7855581050983116737at_nat] :
% 3.29/3.52            ( collec6321179662152712658at_nat
% 3.29/3.52            @ ( produc410239310623530412_nat_o
% 3.29/3.52              @ ^ [A5: set_Pr1261947904930325089at_nat,B4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52                  ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A5 @ B4 )
% 3.29/3.52                    @ ( produc7726050920695093128at_nat @ A6
% 3.29/3.52                      @ ^ [Uu: set_Pr1261947904930325089at_nat] : A6 ) )
% 3.29/3.52                  & ( P4 @ A5 @ B4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % relation_of_def
% 3.29/3.52  thf(fact_2727_relation__of__def,axiom,
% 3.29/3.52      ( order_1962693441708344834of_nat
% 3.29/3.52      = ( ^ [P4: nat > nat > $o,A6: set_nat] :
% 3.29/3.52            ( collec3392354462482085612at_nat
% 3.29/3.52            @ ( produc6081775807080527818_nat_o
% 3.29/3.52              @ ^ [A5: nat,B4: nat] :
% 3.29/3.52                  ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A5 @ B4 )
% 3.29/3.52                    @ ( produc457027306803732586at_nat @ A6
% 3.29/3.52                      @ ^ [Uu: nat] : A6 ) )
% 3.29/3.52                  & ( P4 @ A5 @ B4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % relation_of_def
% 3.29/3.52  thf(fact_2728_relation__of__def,axiom,
% 3.29/3.52      ( order_1960202971199294558of_int
% 3.29/3.52      = ( ^ [P4: int > int > $o,A6: set_int] :
% 3.29/3.52            ( collec213857154873943460nt_int
% 3.29/3.52            @ ( produc4947309494688390418_int_o
% 3.29/3.52              @ ^ [A5: int,B4: int] :
% 3.29/3.52                  ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A5 @ B4 )
% 3.29/3.52                    @ ( produc1453890548195736866nt_int @ A6
% 3.29/3.52                      @ ^ [Uu: int] : A6 ) )
% 3.29/3.52                  & ( P4 @ A5 @ B4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % relation_of_def
% 3.29/3.52  thf(fact_2729_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: nat,A4: set_nat,B: product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( produc5506539147108004339t_unit @ ( insert_nat @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: nat] : ( insert_Product_unit @ B @ B5 ) )
% 3.29/3.52        = ( insert6804906068341198690t_unit @ ( produc3434450474625521892t_unit @ A @ B )
% 3.29/3.52          @ ( sup_su4209953369189666580t_unit
% 3.29/3.52            @ ( produc5506539147108004339t_unit @ A4
% 3.29/3.52              @ ^ [Uu: nat] : ( insert_Product_unit @ B @ B5 ) )
% 3.29/3.52            @ ( produc5506539147108004339t_unit @ ( insert_nat @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: nat] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2730_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: nat,A4: set_nat,B: $o,B5: set_o] :
% 3.29/3.52        ( ( product_Sigma_nat_o @ ( insert_nat @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: nat] : ( insert_o @ B @ B5 ) )
% 3.29/3.52        = ( insert2233377226759017069_nat_o @ ( product_Pair_nat_o @ A @ B )
% 3.29/3.52          @ ( sup_su503371503184139039_nat_o
% 3.29/3.52            @ ( product_Sigma_nat_o @ A4
% 3.29/3.52              @ ^ [Uu: nat] : ( insert_o @ B @ B5 ) )
% 3.29/3.52            @ ( product_Sigma_nat_o @ ( insert_nat @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: nat] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2731_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: product_unit,A4: set_Product_unit,B: nat,B5: set_nat] :
% 3.29/3.52        ( ( produc6875377002296012693it_nat @ ( insert_Product_unit @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: product_unit] : ( insert_nat @ B @ B5 ) )
% 3.29/3.52        = ( insert6879346373837673660it_nat @ ( produc4803288329813530246it_nat @ A @ B )
% 3.29/3.52          @ ( sup_su1639320892072265582it_nat
% 3.29/3.52            @ ( produc6875377002296012693it_nat @ A4
% 3.29/3.52              @ ^ [Uu: product_unit] : ( insert_nat @ B @ B5 ) )
% 3.29/3.52            @ ( produc6875377002296012693it_nat @ ( insert_Product_unit @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: product_unit] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2732_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: product_unit,A4: set_Product_unit,B: product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( produc6121607364029222536t_unit @ ( insert_Product_unit @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: product_unit] : ( insert_Product_unit @ B @ B5 ) )
% 3.29/3.52        = ( insert4616891024742550839t_unit @ ( produc5692694829384537815t_unit @ A @ B )
% 3.29/3.52          @ ( sup_su6481247232241170203t_unit
% 3.29/3.52            @ ( produc6121607364029222536t_unit @ A4
% 3.29/3.52              @ ^ [Uu: product_unit] : ( insert_Product_unit @ B @ B5 ) )
% 3.29/3.52            @ ( produc6121607364029222536t_unit @ ( insert_Product_unit @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: product_unit] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2733_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: product_unit,A4: set_Product_unit,B: $o,B5: set_o] :
% 3.29/3.52        ( ( produc4996980317674386579unit_o @ ( insert_Product_unit @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: product_unit] : ( insert_o @ B @ B5 ) )
% 3.29/3.52        = ( insert3586912282507785154unit_o @ ( produc8487917018914037602unit_o @ A @ B )
% 3.29/3.52          @ ( sup_su2851927382625014182unit_o
% 3.29/3.52            @ ( produc4996980317674386579unit_o @ A4
% 3.29/3.52              @ ^ [Uu: product_unit] : ( insert_o @ B @ B5 ) )
% 3.29/3.52            @ ( produc4996980317674386579unit_o @ ( insert_Product_unit @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: product_unit] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2734_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: $o,A4: set_o,B: nat,B5: set_nat] :
% 3.29/3.52        ( ( product_Sigma_o_nat @ ( insert_o @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: $o] : ( insert_nat @ B @ B5 ) )
% 3.29/3.52        = ( insert7948214739558299847_o_nat @ ( product_Pair_o_nat @ A @ B )
% 3.29/3.52          @ ( sup_su8679140417860611193_o_nat
% 3.29/3.52            @ ( product_Sigma_o_nat @ A4
% 3.29/3.52              @ ^ [Uu: $o] : ( insert_nat @ B @ B5 ) )
% 3.29/3.52            @ ( product_Sigma_o_nat @ ( insert_o @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: $o] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2735_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: $o,A4: set_o,B: product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( produc411009820408249917t_unit @ ( insert_o @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: $o] : ( insert_Product_unit @ B @ B5 ) )
% 3.29/3.52        = ( insert9112848208840649964t_unit @ ( produc3901946521647900940t_unit @ A @ B )
% 3.29/3.52          @ ( sup_su4058753791541417424t_unit
% 3.29/3.52            @ ( produc411009820408249917t_unit @ A4
% 3.29/3.52              @ ^ [Uu: $o] : ( insert_Product_unit @ B @ B5 ) )
% 3.29/3.52            @ ( produc411009820408249917t_unit @ ( insert_o @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: $o] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2736_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: $o,A4: set_o,B: $o,B5: set_o] :
% 3.29/3.52        ( ( product_Sigma_o_o @ ( insert_o @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: $o] : ( insert_o @ B @ B5 ) )
% 3.29/3.52        = ( insert6201435330877294327od_o_o @ ( product_Pair_o_o @ A @ B )
% 3.29/3.52          @ ( sup_su5769328420594410459od_o_o
% 3.29/3.52            @ ( product_Sigma_o_o @ A4
% 3.29/3.52              @ ^ [Uu: $o] : ( insert_o @ B @ B5 ) )
% 3.29/3.52            @ ( product_Sigma_o_o @ ( insert_o @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: $o] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2737_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: nat,A4: set_nat,B: num,B5: set_num] :
% 3.29/3.52        ( ( produc6237731129814287028at_num @ ( insert_nat @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: nat] : ( insert_num @ B @ B5 ) )
% 3.29/3.52        = ( insert8920054152555992091at_num @ ( product_Pair_nat_num @ A @ B )
% 3.29/3.52          @ ( sup_su2042722026077122175at_num
% 3.29/3.52            @ ( produc6237731129814287028at_num @ A4
% 3.29/3.52              @ ^ [Uu: nat] : ( insert_num @ B @ B5 ) )
% 3.29/3.52            @ ( produc6237731129814287028at_num @ ( insert_nat @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: nat] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2738_insert__Times__insert,axiom,
% 3.29/3.52      ! [A: int,A4: set_int,B: int,B5: set_int] :
% 3.29/3.52        ( ( produc1453890548195736866nt_int @ ( insert_int @ A @ A4 )
% 3.29/3.52          @ ^ [Uu: int] : ( insert_int @ B @ B5 ) )
% 3.29/3.52        = ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ A @ B )
% 3.29/3.52          @ ( sup_su6024340866399070445nt_int
% 3.29/3.52            @ ( produc1453890548195736866nt_int @ A4
% 3.29/3.52              @ ^ [Uu: int] : ( insert_int @ B @ B5 ) )
% 3.29/3.52            @ ( produc1453890548195736866nt_int @ ( insert_int @ A @ A4 )
% 3.29/3.52              @ ^ [Uu: int] : B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % insert_Times_insert
% 3.29/3.52  thf(fact_2739_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_char,B5: product_unit > set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_char @ A4 @ ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2740_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_char,B5: $o > set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_char @ A4 @ ( comple7965528767983648192t_char @ ( image_o_set_char @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2741_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_char,B5: nat > set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_char @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_char @ A4 @ ( comple7965528767983648192t_char @ ( image_nat_set_char @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2742_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_rat,B5: product_unit > set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_rat @ A4 @ ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2743_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_rat,B5: $o > set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_rat @ A4 @ ( comple4298007329820168263et_rat @ ( image_o_set_rat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2744_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_rat,B5: nat > set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_rat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_rat @ A4 @ ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2745_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_int,B5: product_unit > set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_int @ A4 @ ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2746_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_int,B5: $o > set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_int @ A4 @ ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2747_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_int,B5: nat > set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_int @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_int @ A4 @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2748_INT__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_nat,B5: product_unit > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(2)
% 3.29/3.52  thf(fact_2749_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_5325685772115642575t_char
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_char @ ( comple7965528767983648192t_char @ ( image_5325685772115642575t_char @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2750_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_o_set_char
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_char @ ( comple7965528767983648192t_char @ ( image_o_set_char @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2751_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_char,B5: set_char] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_char ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7965528767983648192t_char
% 3.29/3.52              @ ( image_nat_set_char
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_char @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_char @ ( comple7965528767983648192t_char @ ( image_nat_set_char @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2752_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_4665621433434589782et_rat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_rat @ ( comple4298007329820168263et_rat @ ( image_4665621433434589782et_rat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2753_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_o_set_rat
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_rat @ ( comple4298007329820168263et_rat @ ( image_o_set_rat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2754_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_rat,B5: set_rat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_rat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple4298007329820168263et_rat
% 3.29/3.52              @ ( image_nat_set_rat
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_rat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_rat @ ( comple4298007329820168263et_rat @ ( image_nat_set_rat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2755_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_3995998972318789802et_int
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_int @ ( comple3628384868704368283et_int @ ( image_3995998972318789802et_int @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2756_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_o_set_int
% 3.29/3.52                @ ^ [X4: $o] : ( inf_inf_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_int @ ( comple3628384868704368283et_int @ ( image_o_set_int @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2757_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_int,B5: set_int] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_int ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3628384868704368283et_int
% 3.29/3.52              @ ( image_nat_set_int
% 3.29/3.52                @ ^ [X4: nat] : ( inf_inf_set_int @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_int @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2758_INT__simps_I1_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_nat,B5: set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = top_top_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7806235888213564991et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_simps(1)
% 3.29/3.52  thf(fact_2759_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_int,B5: int > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_int_set_int
% 3.29/3.52                  @ ^ [X4: int] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_int_set_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_int_int
% 3.29/3.52                  @ ^ [X4: int] : ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2760_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_int,B5: int > set_Product_unit,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bo3957492148770167129t_unit ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_int_set_int
% 3.29/3.52                  @ ^ [X4: int] : ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( comple3349607820504768346t_unit @ ( image_8658272795163236474t_unit @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_int_int
% 3.29/3.52                  @ ^ [X4: int] : ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2761_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_int,B5: int > set_o,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_o ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_int_set_int
% 3.29/3.52                  @ ^ [X4: int] : ( image_o_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( comple90263536869209701_set_o @ ( image_int_set_o @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_int_int
% 3.29/3.52                  @ ^ [X4: int] : ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2762_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,B5: product_unit > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_3995998972318789802et_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_3995998972318789802et_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_873079544045703924it_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2763_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,B5: product_unit > set_Product_unit,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bo3957492148770167129t_unit ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_3995998972318789802et_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_873079544045703924it_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2764_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,B5: product_unit > set_o,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_o ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_3995998972318789802et_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( image_o_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_873079544045703924it_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2765_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_o,B5: $o > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_o_set_int
% 3.29/3.52                  @ ^ [X4: $o] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_o_set_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_o_int
% 3.29/3.52                  @ ^ [X4: $o] : ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2766_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_o,B5: $o > set_Product_unit,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bo3957492148770167129t_unit ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_o_set_int
% 3.29/3.52                  @ ^ [X4: $o] : ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_o_int
% 3.29/3.52                  @ ^ [X4: $o] : ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2767_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_o,B5: $o > set_o,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_o ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_o_set_int
% 3.29/3.52                  @ ^ [X4: $o] : ( image_o_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_o_int
% 3.29/3.52                  @ ^ [X4: $o] : ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2768_cSUP__UNION,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: nat > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_nat_set_int
% 3.29/3.52                  @ ^ [X4: nat] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_nat_set_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_int
% 3.29/3.52                @ ( image_nat_int
% 3.29/3.52                  @ ^ [X4: nat] : ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_UNION
% 3.29/3.52  thf(fact_2769_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_int,B5: int > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_int_set_int
% 3.29/3.52                  @ ^ [X4: int] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_int_set_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_int_int
% 3.29/3.52                  @ ^ [X4: int] : ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2770_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_int,B5: int > set_Product_unit,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bo3957492148770167129t_unit ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_int_set_int
% 3.29/3.52                  @ ^ [X4: int] : ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( comple3349607820504768346t_unit @ ( image_8658272795163236474t_unit @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_int_int
% 3.29/3.52                  @ ^ [X4: int] : ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2771_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_int,B5: int > set_o,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ! [X: int] :
% 3.29/3.52              ( ( member_int @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_o ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_int_set_int
% 3.29/3.52                  @ ^ [X4: int] : ( image_o_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( comple90263536869209701_set_o @ ( image_int_set_o @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_int_int
% 3.29/3.52                  @ ^ [X4: int] : ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2772_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,B5: product_unit > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_3995998972318789802et_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_3995998972318789802et_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_873079544045703924it_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2773_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,B5: product_unit > set_Product_unit,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bo3957492148770167129t_unit ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_3995998972318789802et_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_873079544045703924it_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2774_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,B5: product_unit > set_o,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ! [X: product_unit] :
% 3.29/3.52              ( ( member_Product_unit @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_o ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_3995998972318789802et_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( image_o_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_873079544045703924it_int
% 3.29/3.52                  @ ^ [X4: product_unit] : ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2775_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_o,B5: $o > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_o_set_int
% 3.29/3.52                  @ ^ [X4: $o] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_o_set_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_o_int
% 3.29/3.52                  @ ^ [X4: $o] : ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2776_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_o,B5: $o > set_Product_unit,F: product_unit > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bo3957492148770167129t_unit ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_o_set_int
% 3.29/3.52                  @ ^ [X4: $o] : ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_o_int
% 3.29/3.52                  @ ^ [X4: $o] : ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2777_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_o,B5: $o > set_o,F: $o > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ! [X: $o] :
% 3.29/3.52              ( ( member_o @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_o ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_o_set_int
% 3.29/3.52                  @ ^ [X4: $o] : ( image_o_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_o_int
% 3.29/3.52                  @ ^ [X4: $o] : ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2778_cINF__UNION,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: nat > set_int,F: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ! [X: nat] :
% 3.29/3.52              ( ( member_nat @ X @ A4 )
% 3.29/3.52             => ( ( B5 @ X )
% 3.29/3.52               != bot_bot_set_int ) )
% 3.29/3.52         => ( ( condit1735850657277959132ow_int
% 3.29/3.52              @ ( comple3221217463730067765et_int
% 3.29/3.52                @ ( image_nat_set_int
% 3.29/3.52                  @ ^ [X4: nat] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.52                  @ A4 ) ) )
% 3.29/3.52           => ( ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( comple3221217463730067765et_int @ ( image_nat_set_int @ B5 @ A4 ) ) ) )
% 3.29/3.52              = ( complete_Inf_Inf_int
% 3.29/3.52                @ ( image_nat_int
% 3.29/3.52                  @ ^ [X4: nat] : ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( B5 @ X4 ) ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_UNION
% 3.29/3.52  thf(fact_2779_Ex__inj__on__UNION__Sigma,axiom,
% 3.29/3.52      ! [A4: nat > set_nat,I3: set_nat] :
% 3.29/3.52      ? [F5: nat > product_prod_nat_nat] :
% 3.29/3.52        ( ( inj_on5538052773655684606at_nat @ F5 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.52        & ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F5 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) ) @ ( produc457027306803732586at_nat @ I3 @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Ex_inj_on_UNION_Sigma
% 3.29/3.52  thf(fact_2780_prod__set__simps_I1_J,axiom,
% 3.29/3.52      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( basic_1274512288150691911at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.52        = ( insert2290795007606087959at_nat @ X2 @ bot_bo1534825418459847827at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % prod_set_simps(1)
% 3.29/3.52  thf(fact_2781_prod__set__simps_I1_J,axiom,
% 3.29/3.52      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( basic_3661821009137050567at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.52        = ( insert9200635055090092081at_nat @ X2 @ bot_bo3083307316010499117at_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % prod_set_simps(1)
% 3.29/3.52  thf(fact_2782_prod__set__simps_I1_J,axiom,
% 3.29/3.52      ! [X2: int,Y3: int] :
% 3.29/3.52        ( ( basic_fsts_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.52        = ( insert_int @ X2 @ bot_bot_set_int ) ) ).
% 3.29/3.52  
% 3.29/3.52  % prod_set_simps(1)
% 3.29/3.52  thf(fact_2783_prod__set__simps_I1_J,axiom,
% 3.29/3.52      ! [X2: nat,Y3: num] :
% 3.29/3.52        ( ( basic_fsts_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.52        = ( insert_nat @ X2 @ bot_bot_set_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % prod_set_simps(1)
% 3.29/3.52  thf(fact_2784_prod__set__simps_I1_J,axiom,
% 3.29/3.52      ! [X2: nat,Y3: nat] :
% 3.29/3.52        ( ( basic_fsts_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.52        = ( insert_nat @ X2 @ bot_bot_set_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % prod_set_simps(1)
% 3.29/3.52  thf(fact_2785_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: int > $o,F: int > nat,G: int > nat,S5: set_int] :
% 3.29/3.52        ( ( image_int_nat
% 3.29/3.52          @ ^ [X4: int] : ( if_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_sup_set_nat @ ( image_int_nat @ F @ ( inf_inf_set_int @ S5 @ ( collect_int @ P2 ) ) )
% 3.29/3.52          @ ( image_int_nat @ G
% 3.29/3.52            @ ( inf_inf_set_int @ S5
% 3.29/3.52              @ ( collect_int
% 3.29/3.52                @ ^ [X4: int] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2786_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: int > $o,F: int > int,G: int > int,S5: set_int] :
% 3.29/3.52        ( ( image_int_int
% 3.29/3.52          @ ^ [X4: int] : ( if_int @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_sup_set_int @ ( image_int_int @ F @ ( inf_inf_set_int @ S5 @ ( collect_int @ P2 ) ) )
% 3.29/3.52          @ ( image_int_int @ G
% 3.29/3.52            @ ( inf_inf_set_int @ S5
% 3.29/3.52              @ ( collect_int
% 3.29/3.52                @ ^ [X4: int] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2787_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: nat > $o,F: nat > rat,G: nat > rat,S5: set_nat] :
% 3.29/3.52        ( ( image_nat_rat
% 3.29/3.52          @ ^ [X4: nat] : ( if_rat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_sup_set_rat @ ( image_nat_rat @ F @ ( inf_inf_set_nat @ S5 @ ( collect_nat @ P2 ) ) )
% 3.29/3.52          @ ( image_nat_rat @ G
% 3.29/3.52            @ ( inf_inf_set_nat @ S5
% 3.29/3.52              @ ( collect_nat
% 3.29/3.52                @ ^ [X4: nat] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2788_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: nat > $o,F: nat > nat,G: nat > nat,S5: set_nat] :
% 3.29/3.52        ( ( image_nat_nat
% 3.29/3.52          @ ^ [X4: nat] : ( if_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_sup_set_nat @ ( image_nat_nat @ F @ ( inf_inf_set_nat @ S5 @ ( collect_nat @ P2 ) ) )
% 3.29/3.52          @ ( image_nat_nat @ G
% 3.29/3.52            @ ( inf_inf_set_nat @ S5
% 3.29/3.52              @ ( collect_nat
% 3.29/3.52                @ ^ [X4: nat] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2789_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: nat > $o,F: nat > int,G: nat > int,S5: set_nat] :
% 3.29/3.52        ( ( image_nat_int
% 3.29/3.52          @ ^ [X4: nat] : ( if_int @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_sup_set_int @ ( image_nat_int @ F @ ( inf_inf_set_nat @ S5 @ ( collect_nat @ P2 ) ) )
% 3.29/3.52          @ ( image_nat_int @ G
% 3.29/3.52            @ ( inf_inf_set_nat @ S5
% 3.29/3.52              @ ( collect_nat
% 3.29/3.52                @ ^ [X4: nat] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2790_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: nat > $o,F: nat > produc859450856879609959at_nat,G: nat > produc859450856879609959at_nat,S5: set_nat] :
% 3.29/3.52        ( ( image_3276603626957510736at_nat
% 3.29/3.52          @ ^ [X4: nat] : ( if_Pro4507677147265585453at_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( image_3276603626957510736at_nat @ F @ ( inf_inf_set_nat @ S5 @ ( collect_nat @ P2 ) ) )
% 3.29/3.52          @ ( image_3276603626957510736at_nat @ G
% 3.29/3.52            @ ( inf_inf_set_nat @ S5
% 3.29/3.52              @ ( collect_nat
% 3.29/3.52                @ ^ [X4: nat] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2791_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: product_prod_int_int > $o,F: product_prod_int_int > produc859450856879609959at_nat,G: product_prod_int_int > produc859450856879609959at_nat,S5: set_Pr958786334691620121nt_int] :
% 3.29/3.52        ( ( image_8858061497167895027at_nat
% 3.29/3.52          @ ^ [X4: product_prod_int_int] : ( if_Pro4507677147265585453at_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( image_8858061497167895027at_nat @ F @ ( inf_in2269163501485487111nt_int @ S5 @ ( collec213857154873943460nt_int @ P2 ) ) )
% 3.29/3.52          @ ( image_8858061497167895027at_nat @ G
% 3.29/3.52            @ ( inf_in2269163501485487111nt_int @ S5
% 3.29/3.52              @ ( collec213857154873943460nt_int
% 3.29/3.52                @ ^ [X4: product_prod_int_int] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2792_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: product_prod_nat_nat > $o,F: product_prod_nat_nat > produc859450856879609959at_nat,G: product_prod_nat_nat > produc859450856879609959at_nat,S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( image_1119892238107900587at_nat
% 3.29/3.52          @ ^ [X4: product_prod_nat_nat] : ( if_Pro4507677147265585453at_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( image_1119892238107900587at_nat @ F @ ( inf_in2572325071724192079at_nat @ S5 @ ( collec3392354462482085612at_nat @ P2 ) ) )
% 3.29/3.52          @ ( image_1119892238107900587at_nat @ G
% 3.29/3.52            @ ( inf_in2572325071724192079at_nat @ S5
% 3.29/3.52              @ ( collec3392354462482085612at_nat
% 3.29/3.52                @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2793_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: nat > $o,F: nat > produc3843707927480180839at_nat,G: nat > produc3843707927480180839at_nat,S5: set_nat] :
% 3.29/3.52        ( ( image_2499013659892586576at_nat
% 3.29/3.52          @ ^ [X4: nat] : ( if_Pro3594990065127090477at_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( image_2499013659892586576at_nat @ F @ ( inf_inf_set_nat @ S5 @ ( collect_nat @ P2 ) ) )
% 3.29/3.52          @ ( image_2499013659892586576at_nat @ G
% 3.29/3.52            @ ( inf_inf_set_nat @ S5
% 3.29/3.52              @ ( collect_nat
% 3.29/3.52                @ ^ [X4: nat] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2794_if__image__distrib,axiom,
% 3.29/3.52      ! [P2: product_prod_int_int > $o,F: product_prod_int_int > produc3843707927480180839at_nat,G: product_prod_int_int > produc3843707927480180839at_nat,S5: set_Pr958786334691620121nt_int] :
% 3.29/3.52        ( ( image_6029125644611338739at_nat
% 3.29/3.52          @ ^ [X4: product_prod_int_int] : ( if_Pro3594990065127090477at_nat @ ( P2 @ X4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52          @ S5 )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( image_6029125644611338739at_nat @ F @ ( inf_in2269163501485487111nt_int @ S5 @ ( collec213857154873943460nt_int @ P2 ) ) )
% 3.29/3.52          @ ( image_6029125644611338739at_nat @ G
% 3.29/3.52            @ ( inf_in2269163501485487111nt_int @ S5
% 3.29/3.52              @ ( collec213857154873943460nt_int
% 3.29/3.52                @ ^ [X4: product_prod_int_int] :
% 3.29/3.52                    ~ ( P2 @ X4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % if_image_distrib
% 3.29/3.52  thf(fact_2795_UN__Un,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_6654316230217496229at_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_6654316230217496229at_nat @ M @ A4 ) ) @ ( comple2748534634209756852at_nat @ ( image_6654316230217496229at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_Un
% 3.29/3.52  thf(fact_2796_UN__Un,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_Pr4329608150637261639at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_3876558564303283877at_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_3876558564303283877at_nat @ M @ A4 ) ) @ ( comple4364388969068068532at_nat @ ( image_3876558564303283877at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_Un
% 3.29/3.52  thf(fact_2797_UN__Un,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_Pr8693737435421807431at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_7260680879217540773at_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_7260680879217540773at_nat @ M @ A4 ) ) @ ( comple2748534634209756852at_nat @ ( image_7260680879217540773at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_Un
% 3.29/3.52  thf(fact_2798_UN__Un,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_7364710425340685989at_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_7364710425340685989at_nat @ M @ A4 ) ) @ ( comple4364388969068068532at_nat @ ( image_7364710425340685989at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_Un
% 3.29/3.52  thf(fact_2799_UN__Un,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_2819269535336293544et_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_2819269535336293544et_nat @ M @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_2819269535336293544et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_Un
% 3.29/3.52  thf(fact_2800_UN__Un,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ M @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_Un
% 3.29/3.52  thf(fact_2801_bdd__below__image__inf,axiom,
% 3.29/3.52      ! [F: nat > rat,G: nat > rat,A4: set_nat] :
% 3.29/3.52        ( ( condit1103211067700513672ow_rat
% 3.29/3.52          @ ( image_nat_rat
% 3.29/3.52            @ ^ [X4: nat] : ( inf_inf_rat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit1103211067700513672ow_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.52          & ( condit1103211067700513672ow_rat @ ( image_nat_rat @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_below_image_inf
% 3.29/3.52  thf(fact_2802_bdd__below__image__inf,axiom,
% 3.29/3.52      ! [F: nat > nat,G: nat > nat,A4: set_nat] :
% 3.29/3.52        ( ( condit1738341127787009408ow_nat
% 3.29/3.52          @ ( image_nat_nat
% 3.29/3.52            @ ^ [X4: nat] : ( inf_inf_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.52          & ( condit1738341127787009408ow_nat @ ( image_nat_nat @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_below_image_inf
% 3.29/3.52  thf(fact_2803_bdd__below__image__inf,axiom,
% 3.29/3.52      ! [F: nat > int,G: nat > int,A4: set_nat] :
% 3.29/3.52        ( ( condit1735850657277959132ow_int
% 3.29/3.52          @ ( image_nat_int
% 3.29/3.52            @ ^ [X4: nat] : ( inf_inf_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.52          & ( condit1735850657277959132ow_int @ ( image_nat_int @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_below_image_inf
% 3.29/3.52  thf(fact_2804_bdd__below__image__inf,axiom,
% 3.29/3.52      ! [F: int > nat,G: int > nat,A4: set_int] :
% 3.29/3.52        ( ( condit1738341127787009408ow_nat
% 3.29/3.52          @ ( image_int_nat
% 3.29/3.52            @ ^ [X4: int] : ( inf_inf_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.52          & ( condit1738341127787009408ow_nat @ ( image_int_nat @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_below_image_inf
% 3.29/3.52  thf(fact_2805_bdd__below__image__inf,axiom,
% 3.29/3.52      ! [F: int > int,G: int > int,A4: set_int] :
% 3.29/3.52        ( ( condit1735850657277959132ow_int
% 3.29/3.52          @ ( image_int_int
% 3.29/3.52            @ ^ [X4: int] : ( inf_inf_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.52          & ( condit1735850657277959132ow_int @ ( image_int_int @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_below_image_inf
% 3.29/3.52  thf(fact_2806_bdd__above__image__sup,axiom,
% 3.29/3.52      ! [F: nat > rat,G: nat > rat,A4: set_nat] :
% 3.29/3.52        ( ( condit1579696412822616692ve_rat
% 3.29/3.52          @ ( image_nat_rat
% 3.29/3.52            @ ^ [X4: nat] : ( sup_sup_rat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit1579696412822616692ve_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.52          & ( condit1579696412822616692ve_rat @ ( image_nat_rat @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_above_image_sup
% 3.29/3.52  thf(fact_2807_bdd__above__image__sup,axiom,
% 3.29/3.52      ! [F: nat > nat,G: nat > nat,A4: set_nat] :
% 3.29/3.52        ( ( condit2214826472909112428ve_nat
% 3.29/3.52          @ ( image_nat_nat
% 3.29/3.52            @ ^ [X4: nat] : ( sup_sup_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.52          & ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_above_image_sup
% 3.29/3.52  thf(fact_2808_bdd__above__image__sup,axiom,
% 3.29/3.52      ! [F: nat > int,G: nat > int,A4: set_nat] :
% 3.29/3.52        ( ( condit2212336002400062152ve_int
% 3.29/3.52          @ ( image_nat_int
% 3.29/3.52            @ ^ [X4: nat] : ( sup_sup_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.52          & ( condit2212336002400062152ve_int @ ( image_nat_int @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_above_image_sup
% 3.29/3.52  thf(fact_2809_bdd__above__image__sup,axiom,
% 3.29/3.52      ! [F: int > nat,G: int > nat,A4: set_int] :
% 3.29/3.52        ( ( condit2214826472909112428ve_nat
% 3.29/3.52          @ ( image_int_nat
% 3.29/3.52            @ ^ [X4: int] : ( sup_sup_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.52          & ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_above_image_sup
% 3.29/3.52  thf(fact_2810_bdd__above__image__sup,axiom,
% 3.29/3.52      ! [F: int > int,G: int > int,A4: set_int] :
% 3.29/3.52        ( ( condit2212336002400062152ve_int
% 3.29/3.52          @ ( image_int_int
% 3.29/3.52            @ ^ [X4: int] : ( sup_sup_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52            @ A4 ) )
% 3.29/3.52        = ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.52          & ( condit2212336002400062152ve_int @ ( image_int_int @ G @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % bdd_above_image_sup
% 3.29/3.52  thf(fact_2811_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_Product_unit,B5: product_unit > set_Product_unit] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_7778121751606633509t_unit
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su793286257634532545t_unit @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_7778121751606633509t_unit
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su793286257634532545t_unit @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su793286257634532545t_unit @ A4 @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2812_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_o,B5: product_unit > set_o] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_6930536745178679216_set_o
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_o @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_6930536745178679216_set_o
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_o @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_o @ A4 @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2813_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_Product_unit,B5: $o > set_Product_unit] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_663195431845683034t_unit
% 3.29/3.52                @ ^ [X4: $o] : ( sup_su793286257634532545t_unit @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_663195431845683034t_unit
% 3.29/3.52                @ ^ [X4: $o] : ( sup_su793286257634532545t_unit @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su793286257634532545t_unit @ A4 @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2814_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_o,B5: $o > set_o] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_o_set_o
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_o @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_o_set_o
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_o @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_o @ A4 @ ( comple90263536869209701_set_o @ ( image_o_set_o @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2815_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_Product_unit,B5: nat > set_Product_unit] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_4824033694279209942t_unit
% 3.29/3.52                @ ^ [X4: nat] : ( sup_su793286257634532545t_unit @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_4824033694279209942t_unit
% 3.29/3.52                @ ^ [X4: nat] : ( sup_su793286257634532545t_unit @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su793286257634532545t_unit @ A4 @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2816_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_o,B5: nat > set_o] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_nat_set_o
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_o @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_nat_set_o
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_o @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_o @ A4 @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2817_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_nat,B5: product_unit > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2818_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: set_nat,B5: $o > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_o_set_nat
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_o_set_nat
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2819_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_nat_set_nat
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_nat_set_nat
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2820_UN__simps_I3_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: set_Pr1261947904930325089at_nat,B5: product_unit > set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple5685304695842803022at_nat
% 3.29/3.52              @ ( image_3617315916088684441at_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su6327502436637775413at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo2099793752762293965at_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple5685304695842803022at_nat
% 3.29/3.52              @ ( image_3617315916088684441at_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su6327502436637775413at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su6327502436637775413at_nat @ A4 @ ( comple5685304695842803022at_nat @ ( image_3617315916088684441at_nat @ B5 @ C3 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(3)
% 3.29/3.52  thf(fact_2821_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_Product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_7778121751606633509t_unit
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su793286257634532545t_unit @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_7778121751606633509t_unit
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su793286257634532545t_unit @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2822_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_o,B5: set_o] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_6930536745178679216_set_o
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_o @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_6930536745178679216_set_o
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_o @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2823_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_Product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_663195431845683034t_unit
% 3.29/3.52                @ ^ [X4: $o] : ( sup_su793286257634532545t_unit @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_663195431845683034t_unit
% 3.29/3.52                @ ^ [X4: $o] : ( sup_su793286257634532545t_unit @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2824_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_o,B5: set_o] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_o_set_o
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_o @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_o_set_o
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_o @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_o_set_o @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2825_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_Product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_4824033694279209942t_unit
% 3.29/3.52                @ ^ [X4: nat] : ( sup_su793286257634532545t_unit @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple3349607820504768346t_unit
% 3.29/3.52              @ ( image_4824033694279209942t_unit
% 3.29/3.52                @ ^ [X4: nat] : ( sup_su793286257634532545t_unit @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2826_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_o,B5: set_o] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_nat_set_o
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_o @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_o ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple90263536869209701_set_o
% 3.29/3.52              @ ( image_nat_set_o
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_o @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2827_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_nat,B5: set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_8173849991827986510et_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2828_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_o,A4: $o > set_nat,B5: set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_o_set_nat
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_o )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_o_set_nat
% 3.29/3.52                @ ^ [X4: $o] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2829_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_nat,A4: nat > set_nat,B5: set_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_nat_set_nat
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bot_set_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.52         => ( ( comple7399068483239264473et_nat
% 3.29/3.52              @ ( image_nat_set_nat
% 3.29/3.52                @ ^ [X4: nat] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2830_UN__simps_I2_J,axiom,
% 3.29/3.52      ! [C3: set_Product_unit,A4: product_unit > set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple5685304695842803022at_nat
% 3.29/3.52              @ ( image_3617315916088684441at_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su6327502436637775413at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = bot_bo2099793752762293965at_nat ) )
% 3.29/3.52        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.52         => ( ( comple5685304695842803022at_nat
% 3.29/3.52              @ ( image_3617315916088684441at_nat
% 3.29/3.52                @ ^ [X4: product_unit] : ( sup_su6327502436637775413at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.52                @ C3 ) )
% 3.29/3.52            = ( sup_su6327502436637775413at_nat @ ( comple5685304695842803022at_nat @ ( image_3617315916088684441at_nat @ A4 @ C3 ) ) @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_simps(2)
% 3.29/3.52  thf(fact_2831_UN__insert,axiom,
% 3.29/3.52      ! [B5: nat > set_nat,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2832_UN__insert,axiom,
% 3.29/3.52      ! [B5: product_unit > set_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2833_UN__insert,axiom,
% 3.29/3.52      ! [B5: $o > set_nat,A: $o,A4: set_o] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2834_UN__insert,axiom,
% 3.29/3.52      ! [B5: product_prod_nat_nat > set_nat,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( B5 @ A ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2835_UN__insert,axiom,
% 3.29/3.52      ! [B5: nat > set_Pr8693737435421807431at_nat,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ B5 @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( B5 @ A ) @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2836_UN__insert,axiom,
% 3.29/3.52      ! [B5: product_unit > set_Pr8693737435421807431at_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ B5 @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( B5 @ A ) @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2837_UN__insert,axiom,
% 3.29/3.52      ! [B5: $o > set_Pr8693737435421807431at_nat,A: $o,A4: set_o] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ B5 @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( B5 @ A ) @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2838_UN__insert,axiom,
% 3.29/3.52      ! [B5: product_prod_nat_nat > set_Pr8693737435421807431at_nat,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ B5 @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( B5 @ A ) @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2839_UN__insert,axiom,
% 3.29/3.52      ! [B5: nat > set_Pr4329608150637261639at_nat,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_1087905878993176368at_nat @ B5 @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( B5 @ A ) @ ( comple4364388969068068532at_nat @ ( image_1087905878993176368at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2840_UN__insert,axiom,
% 3.29/3.52      ! [B5: product_unit > set_Pr4329608150637261639at_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ B5 @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( B5 @ A ) @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_insert
% 3.29/3.52  thf(fact_2841_inj__apsnd,axiom,
% 3.29/3.52      ! [F: code_integer > code_integer] :
% 3.29/3.52        ( ( inj_on20428373856169009nteger @ ( produc6499014454317279255nteger @ F ) @ top_to2363841527343591755nteger )
% 3.29/3.52        = ( inj_on1158064722259180589nteger @ F @ top_to4645266643341252675nteger ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_apsnd
% 3.29/3.52  thf(fact_2842_INT__insert,axiom,
% 3.29/3.52      ! [B5: nat > set_Pr1261947904930325089at_nat,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ B5 @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( B5 @ A ) @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2843_INT__insert,axiom,
% 3.29/3.52      ! [B5: product_prod_nat_nat > set_Pr1261947904930325089at_nat,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ B5 @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( B5 @ A ) @ ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2844_INT__insert,axiom,
% 3.29/3.52      ! [B5: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat,A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ B5 @ ( insert9069300056098147895at_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( B5 @ A ) @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2845_INT__insert,axiom,
% 3.29/3.52      ! [B5: product_unit > set_Pr1261947904930325089at_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ B5 @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( B5 @ A ) @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2846_INT__insert,axiom,
% 3.29/3.52      ! [B5: $o > set_Pr1261947904930325089at_nat,A: $o,A4: set_o] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ B5 @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( B5 @ A ) @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2847_INT__insert,axiom,
% 3.29/3.52      ! [B5: nat > set_nat,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( B5 @ A ) @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2848_INT__insert,axiom,
% 3.29/3.52      ! [B5: product_prod_nat_nat > set_nat,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ B5 @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( B5 @ A ) @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2849_INT__insert,axiom,
% 3.29/3.52      ! [B5: produc3843707927480180839at_nat > set_nat,A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ B5 @ ( insert9069300056098147895at_nat @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( B5 @ A ) @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2850_INT__insert,axiom,
% 3.29/3.52      ! [B5: product_unit > set_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ B5 @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( B5 @ A ) @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2851_INT__insert,axiom,
% 3.29/3.52      ! [B5: $o > set_nat,A: $o,A4: set_o] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( B5 @ A ) @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_insert
% 3.29/3.52  thf(fact_2852_inj__on__apsnd,axiom,
% 3.29/3.52      ! [F: code_integer > code_integer,A4: set_Code_integer] :
% 3.29/3.52        ( ( inj_on20428373856169009nteger @ ( produc6499014454317279255nteger @ F )
% 3.29/3.52          @ ( produc5882431272649516420nteger @ top_to4645266643341252675nteger
% 3.29/3.52            @ ^ [Uu: code_integer] : A4 ) )
% 3.29/3.52        = ( inj_on1158064722259180589nteger @ F @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_apsnd
% 3.29/3.52  thf(fact_2853_inj__on__insert,axiom,
% 3.29/3.52      ! [F: int > nat,A: int,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ ( insert_int @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.52          & ~ ( member_nat @ ( F @ A ) @ ( image_int_nat @ F @ ( minus_minus_set_int @ A4 @ ( insert_int @ A @ bot_bot_set_int ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2854_inj__on__insert,axiom,
% 3.29/3.52      ! [F: int > int,A: int,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ ( insert_int @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.52          & ~ ( member_int @ ( F @ A ) @ ( image_int_int @ F @ ( minus_minus_set_int @ A4 @ ( insert_int @ A @ bot_bot_set_int ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2855_inj__on__insert,axiom,
% 3.29/3.52      ! [F: product_unit > $o,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( inj_on8854722734121536060unit_o @ F @ ( insert_Product_unit @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on8854722734121536060unit_o @ F @ A4 )
% 3.29/3.52          & ~ ( member_o @ ( F @ A ) @ ( image_Product_unit_o @ F @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2856_inj__on__insert,axiom,
% 3.29/3.52      ! [F: product_unit > nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( inj_on8430439091780834860it_nat @ F @ ( insert_Product_unit @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on8430439091780834860it_nat @ F @ A4 )
% 3.29/3.52          & ~ ( member_nat @ ( F @ A ) @ ( image_875570014554754200it_nat @ F @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2857_inj__on__insert,axiom,
% 3.29/3.52      ! [F: product_unit > int,A: product_unit,A4: set_Product_unit] :
% 3.29/3.52        ( ( inj_on8427948621271784584it_int @ F @ ( insert_Product_unit @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on8427948621271784584it_int @ F @ A4 )
% 3.29/3.52          & ~ ( member_int @ ( F @ A ) @ ( image_873079544045703924it_int @ F @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ A @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2858_inj__on__insert,axiom,
% 3.29/3.52      ! [F: $o > $o,A: $o,A4: set_o] :
% 3.29/3.52        ( ( inj_on_o_o @ F @ ( insert_o @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_o_o @ F @ A4 )
% 3.29/3.52          & ~ ( member_o @ ( F @ A ) @ ( image_o_o @ F @ ( minus_minus_set_o @ A4 @ ( insert_o @ A @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2859_inj__on__insert,axiom,
% 3.29/3.52      ! [F: $o > nat,A: $o,A4: set_o] :
% 3.29/3.52        ( ( inj_on_o_nat @ F @ ( insert_o @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_o_nat @ F @ A4 )
% 3.29/3.52          & ~ ( member_nat @ ( F @ A ) @ ( image_o_nat @ F @ ( minus_minus_set_o @ A4 @ ( insert_o @ A @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2860_inj__on__insert,axiom,
% 3.29/3.52      ! [F: $o > int,A: $o,A4: set_o] :
% 3.29/3.52        ( ( inj_on_o_int @ F @ ( insert_o @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_o_int @ F @ A4 )
% 3.29/3.52          & ~ ( member_int @ ( F @ A ) @ ( image_o_int @ F @ ( minus_minus_set_o @ A4 @ ( insert_o @ A @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2861_inj__on__insert,axiom,
% 3.29/3.52      ! [F: nat > rat,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ ( insert_nat @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.52          & ~ ( member_rat @ ( F @ A ) @ ( image_nat_rat @ F @ ( minus_minus_set_nat @ A4 @ ( insert_nat @ A @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2862_inj__on__insert,axiom,
% 3.29/3.52      ! [F: nat > $o,A: nat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_o @ F @ ( insert_nat @ A @ A4 ) )
% 3.29/3.52        = ( ( inj_on_nat_o @ F @ A4 )
% 3.29/3.52          & ~ ( member_o @ ( F @ A ) @ ( image_nat_o @ F @ ( minus_minus_set_nat @ A4 @ ( insert_nat @ A @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_insert
% 3.29/3.52  thf(fact_2863_inj__on__Un__image__eq__iff,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52       => ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.52            = ( image_nat_rat @ F @ B5 ) )
% 3.29/3.52          = ( A4 = B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un_image_eq_iff
% 3.29/3.52  thf(fact_2864_inj__on__Un__image__eq__iff,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52       => ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.52            = ( image_nat_nat @ F @ B5 ) )
% 3.29/3.52          = ( A4 = B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un_image_eq_iff
% 3.29/3.52  thf(fact_2865_inj__on__Un__image__eq__iff,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52       => ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.52            = ( image_nat_int @ F @ B5 ) )
% 3.29/3.52          = ( A4 = B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un_image_eq_iff
% 3.29/3.52  thf(fact_2866_inj__on__Un__image__eq__iff,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ ( sup_sup_set_int @ A4 @ B5 ) )
% 3.29/3.52       => ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.52            = ( image_int_nat @ F @ B5 ) )
% 3.29/3.52          = ( A4 = B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un_image_eq_iff
% 3.29/3.52  thf(fact_2867_inj__on__Un__image__eq__iff,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ ( sup_sup_set_int @ A4 @ B5 ) )
% 3.29/3.52       => ( ( ( image_int_int @ F @ A4 )
% 3.29/3.52            = ( image_int_int @ F @ B5 ) )
% 3.29/3.52          = ( A4 = B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un_image_eq_iff
% 3.29/3.52  thf(fact_2868_Sigma__Un__distrib1,axiom,
% 3.29/3.52      ! [I3: set_nat,J3: set_nat,C3: nat > set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ ( sup_sup_set_nat @ I3 @ J3 ) @ C3 )
% 3.29/3.52        = ( sup_su6327502436637775413at_nat @ ( produc457027306803732586at_nat @ I3 @ C3 ) @ ( produc457027306803732586at_nat @ J3 @ C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Un_distrib1
% 3.29/3.52  thf(fact_2869_Sigma__Un__distrib1,axiom,
% 3.29/3.52      ! [I3: set_Pr1261947904930325089at_nat,J3: set_Pr1261947904930325089at_nat,C3: product_prod_nat_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( produc2761391749766926216at_nat @ ( sup_su6327502436637775413at_nat @ I3 @ J3 ) @ C3 )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( produc2761391749766926216at_nat @ I3 @ C3 ) @ ( produc2761391749766926216at_nat @ J3 @ C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Un_distrib1
% 3.29/3.52  thf(fact_2870_Sigma__Un__distrib1,axiom,
% 3.29/3.52      ! [I3: set_se7855581050983116737at_nat,J3: set_se7855581050983116737at_nat,C3: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( produc7726050920695093128at_nat @ ( sup_su3642409539654194069at_nat @ I3 @ J3 ) @ C3 )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( produc7726050920695093128at_nat @ I3 @ C3 ) @ ( produc7726050920695093128at_nat @ J3 @ C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Un_distrib1
% 3.29/3.52  thf(fact_2871_Sigma__Int__distrib1,axiom,
% 3.29/3.52      ! [I3: set_nat,J3: set_nat,C3: nat > set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ ( inf_inf_set_nat @ I3 @ J3 ) @ C3 )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( produc457027306803732586at_nat @ I3 @ C3 ) @ ( produc457027306803732586at_nat @ J3 @ C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Int_distrib1
% 3.29/3.52  thf(fact_2872_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat,G: nat > rat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_nat_rat @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_rat )
% 3.29/3.52           => ( inj_on_nat_rat
% 3.29/3.52              @ ^ [X4: nat] : ( if_rat @ ( member_nat @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_nat @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2873_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat,G: nat > int,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_nat_int @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_int )
% 3.29/3.52           => ( inj_on_nat_int
% 3.29/3.52              @ ^ [X4: nat] : ( if_int @ ( member_nat @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_nat @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2874_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int,G: int > int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_int_int @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_int )
% 3.29/3.52           => ( inj_on_int_int
% 3.29/3.52              @ ^ [X4: int] : ( if_int @ ( member_int @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_int @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2875_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: $o > product_unit,A4: set_o,G: $o > product_unit,B5: set_o] :
% 3.29/3.52        ( ( inj_on4268752236855399398t_unit @ F @ A4 )
% 3.29/3.52       => ( ( inj_on4268752236855399398t_unit @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_in4660618365625256667t_unit @ ( image_o_Product_unit @ F @ A4 ) @ ( image_o_Product_unit @ G @ B5 ) )
% 3.29/3.52              = bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( inj_on4268752236855399398t_unit
% 3.29/3.52              @ ^ [X4: $o] : ( if_Product_unit @ ( member_o @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_o @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2876_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: nat > product_unit,A4: set_nat,G: nat > product_unit,B5: set_nat] :
% 3.29/3.52        ( ( inj_on7061601236592826506t_unit @ F @ A4 )
% 3.29/3.52       => ( ( inj_on7061601236592826506t_unit @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_in4660618365625256667t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) @ ( image_8730104196221521654t_unit @ G @ B5 ) )
% 3.29/3.52              = bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( inj_on7061601236592826506t_unit
% 3.29/3.52              @ ^ [X4: nat] : ( if_Product_unit @ ( member_nat @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_nat @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2877_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: int > product_unit,A4: set_int,G: int > product_unit,B5: set_int] :
% 3.29/3.52        ( ( inj_on4178023183795006766t_unit @ F @ A4 )
% 3.29/3.52       => ( ( inj_on4178023183795006766t_unit @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_in4660618365625256667t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) @ ( image_5846526143423701914t_unit @ G @ B5 ) )
% 3.29/3.52              = bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( inj_on4178023183795006766t_unit
% 3.29/3.52              @ ^ [X4: int] : ( if_Product_unit @ ( member_int @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_int @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2878_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: $o > $o,A4: set_o,G: $o > $o,B5: set_o] :
% 3.29/3.52        ( ( inj_on_o_o @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_o_o @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_o @ ( image_o_o @ F @ A4 ) @ ( image_o_o @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_o )
% 3.29/3.52           => ( inj_on_o_o
% 3.29/3.52              @ ^ [X4: $o] :
% 3.29/3.52                  ( ( ( member_o @ X4 @ A4 )
% 3.29/3.52                   => ( F @ X4 ) )
% 3.29/3.52                  & ( ~ ( member_o @ X4 @ A4 )
% 3.29/3.52                   => ( G @ X4 ) ) )
% 3.29/3.52              @ ( sup_sup_set_o @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2879_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: nat > $o,A4: set_nat,G: nat > $o,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_o @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_nat_o @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_o @ ( image_nat_o @ F @ A4 ) @ ( image_nat_o @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_o )
% 3.29/3.52           => ( inj_on_nat_o
% 3.29/3.52              @ ^ [X4: nat] :
% 3.29/3.52                  ( ( ( member_nat @ X4 @ A4 )
% 3.29/3.52                   => ( F @ X4 ) )
% 3.29/3.52                  & ( ~ ( member_nat @ X4 @ A4 )
% 3.29/3.52                   => ( G @ X4 ) ) )
% 3.29/3.52              @ ( sup_sup_set_nat @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2880_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: int > $o,A4: set_int,G: int > $o,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_o @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_int_o @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_o @ ( image_int_o @ F @ A4 ) @ ( image_int_o @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_o )
% 3.29/3.52           => ( inj_on_int_o
% 3.29/3.52              @ ^ [X4: int] :
% 3.29/3.52                  ( ( ( member_int @ X4 @ A4 )
% 3.29/3.52                   => ( F @ X4 ) )
% 3.29/3.52                  & ( ~ ( member_int @ X4 @ A4 )
% 3.29/3.52                   => ( G @ X4 ) ) )
% 3.29/3.52              @ ( sup_sup_set_int @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2881_inj__on__disjoint__Un,axiom,
% 3.29/3.52      ! [F: $o > nat,A4: set_o,G: $o > nat,B5: set_o] :
% 3.29/3.52        ( ( inj_on_o_nat @ F @ A4 )
% 3.29/3.52       => ( ( inj_on_o_nat @ G @ B5 )
% 3.29/3.52         => ( ( ( inf_inf_set_nat @ ( image_o_nat @ F @ A4 ) @ ( image_o_nat @ G @ B5 ) )
% 3.29/3.52              = bot_bot_set_nat )
% 3.29/3.52           => ( inj_on_o_nat
% 3.29/3.52              @ ^ [X4: $o] : ( if_nat @ ( member_o @ X4 @ A4 ) @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.52              @ ( sup_sup_set_o @ A4 @ B5 ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_disjoint_Un
% 3.29/3.52  thf(fact_2882_Sigma__Un__distrib2,axiom,
% 3.29/3.52      ! [I3: set_nat,A4: nat > set_nat,B5: nat > set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ I3
% 3.29/3.52          @ ^ [I2: nat] : ( sup_sup_set_nat @ ( A4 @ I2 ) @ ( B5 @ I2 ) ) )
% 3.29/3.52        = ( sup_su6327502436637775413at_nat @ ( produc457027306803732586at_nat @ I3 @ A4 ) @ ( produc457027306803732586at_nat @ I3 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Un_distrib2
% 3.29/3.52  thf(fact_2883_Sigma__Un__distrib2,axiom,
% 3.29/3.52      ! [I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( produc2761391749766926216at_nat @ I3
% 3.29/3.52          @ ^ [I2: product_prod_nat_nat] : ( sup_su6327502436637775413at_nat @ ( A4 @ I2 ) @ ( B5 @ I2 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( produc2761391749766926216at_nat @ I3 @ A4 ) @ ( produc2761391749766926216at_nat @ I3 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Un_distrib2
% 3.29/3.52  thf(fact_2884_Sigma__Un__distrib2,axiom,
% 3.29/3.52      ! [I3: set_se7855581050983116737at_nat,A4: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat,B5: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( produc7726050920695093128at_nat @ I3
% 3.29/3.52          @ ^ [I2: set_Pr1261947904930325089at_nat] : ( sup_su3642409539654194069at_nat @ ( A4 @ I2 ) @ ( B5 @ I2 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( produc7726050920695093128at_nat @ I3 @ A4 ) @ ( produc7726050920695093128at_nat @ I3 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Un_distrib2
% 3.29/3.52  thf(fact_2885_Times__Un__distrib1,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: set_nat,C3: set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ ( sup_sup_set_nat @ A4 @ B5 )
% 3.29/3.52          @ ^ [Uu: nat] : C3 )
% 3.29/3.52        = ( sup_su6327502436637775413at_nat
% 3.29/3.52          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.52            @ ^ [Uu: nat] : C3 )
% 3.29/3.52          @ ( produc457027306803732586at_nat @ B5
% 3.29/3.52            @ ^ [Uu: nat] : C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Un_distrib1
% 3.29/3.52  thf(fact_2886_Times__Un__distrib1,axiom,
% 3.29/3.52      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,C3: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( produc2761391749766926216at_nat @ ( sup_su6327502436637775413at_nat @ A4 @ B5 )
% 3.29/3.52          @ ^ [Uu: product_prod_nat_nat] : C3 )
% 3.29/3.52        = ( sup_su718114333110466843at_nat
% 3.29/3.52          @ ( produc2761391749766926216at_nat @ A4
% 3.29/3.52            @ ^ [Uu: product_prod_nat_nat] : C3 )
% 3.29/3.52          @ ( produc2761391749766926216at_nat @ B5
% 3.29/3.52            @ ^ [Uu: product_prod_nat_nat] : C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Un_distrib1
% 3.29/3.52  thf(fact_2887_Times__Un__distrib1,axiom,
% 3.29/3.52      ! [A4: set_se7855581050983116737at_nat,B5: set_se7855581050983116737at_nat,C3: set_se7855581050983116737at_nat] :
% 3.29/3.52        ( ( produc7726050920695093128at_nat @ ( sup_su3642409539654194069at_nat @ A4 @ B5 )
% 3.29/3.52          @ ^ [Uu: set_Pr1261947904930325089at_nat] : C3 )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat
% 3.29/3.52          @ ( produc7726050920695093128at_nat @ A4
% 3.29/3.52            @ ^ [Uu: set_Pr1261947904930325089at_nat] : C3 )
% 3.29/3.52          @ ( produc7726050920695093128at_nat @ B5
% 3.29/3.52            @ ^ [Uu: set_Pr1261947904930325089at_nat] : C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Un_distrib1
% 3.29/3.52  thf(fact_2888_Times__Int__Times,axiom,
% 3.29/3.52      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,C3: set_Pr1261947904930325089at_nat,D: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( inf_in4302113700860409141at_nat
% 3.29/3.52          @ ( produc2761391749766926216at_nat @ A4
% 3.29/3.52            @ ^ [Uu: product_prod_nat_nat] : B5 )
% 3.29/3.52          @ ( produc2761391749766926216at_nat @ C3
% 3.29/3.52            @ ^ [Uu: product_prod_nat_nat] : D ) )
% 3.29/3.52        = ( produc2761391749766926216at_nat @ ( inf_in2572325071724192079at_nat @ A4 @ C3 )
% 3.29/3.52          @ ^ [Uu: product_prod_nat_nat] : ( inf_in2572325071724192079at_nat @ B5 @ D ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Int_Times
% 3.29/3.52  thf(fact_2889_Times__Int__Times,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: set_nat,C3: set_nat,D: set_nat] :
% 3.29/3.52        ( ( inf_in2572325071724192079at_nat
% 3.29/3.52          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.52            @ ^ [Uu: nat] : B5 )
% 3.29/3.52          @ ( produc457027306803732586at_nat @ C3
% 3.29/3.52            @ ^ [Uu: nat] : D ) )
% 3.29/3.52        = ( produc457027306803732586at_nat @ ( inf_inf_set_nat @ A4 @ C3 )
% 3.29/3.52          @ ^ [Uu: nat] : ( inf_inf_set_nat @ B5 @ D ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Int_Times
% 3.29/3.52  thf(fact_2890_Sigma__Int__distrib2,axiom,
% 3.29/3.52      ! [I3: set_nat,A4: nat > set_nat,B5: nat > set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ I3
% 3.29/3.52          @ ^ [I2: nat] : ( inf_inf_set_nat @ ( A4 @ I2 ) @ ( B5 @ I2 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( produc457027306803732586at_nat @ I3 @ A4 ) @ ( produc457027306803732586at_nat @ I3 @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Sigma_Int_distrib2
% 3.29/3.52  thf(fact_2891_Times__Int__distrib1,axiom,
% 3.29/3.52      ! [A4: set_nat,B5: set_nat,C3: set_nat] :
% 3.29/3.52        ( ( produc457027306803732586at_nat @ ( inf_inf_set_nat @ A4 @ B5 )
% 3.29/3.52          @ ^ [Uu: nat] : C3 )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat
% 3.29/3.52          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.52            @ ^ [Uu: nat] : C3 )
% 3.29/3.52          @ ( produc457027306803732586at_nat @ B5
% 3.29/3.52            @ ^ [Uu: nat] : C3 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Times_Int_distrib1
% 3.29/3.52  thf(fact_2892_inj__on__Un,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.52          & ( inj_on_nat_rat @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_rat @ ( image_nat_rat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) ) @ ( image_nat_rat @ F @ ( minus_minus_set_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_rat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2893_inj__on__Un,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.52          & ( inj_on_nat_int @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_int @ ( image_nat_int @ F @ ( minus_minus_set_nat @ A4 @ B5 ) ) @ ( image_nat_int @ F @ ( minus_minus_set_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_int ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2894_inj__on__Un,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ ( sup_sup_set_int @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.52          & ( inj_on_int_int @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_int @ ( image_int_int @ F @ ( minus_minus_set_int @ A4 @ B5 ) ) @ ( image_int_int @ F @ ( minus_minus_set_int @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_int ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2895_inj__on__Un,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.52          & ( inj_on_nat_nat @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_nat @ ( image_nat_nat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) ) @ ( image_nat_nat @ F @ ( minus_minus_set_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2896_inj__on__Un,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ ( sup_sup_set_int @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.52          & ( inj_on_int_nat @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_nat @ ( image_int_nat @ F @ ( minus_minus_set_int @ A4 @ B5 ) ) @ ( image_int_nat @ F @ ( minus_minus_set_int @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2897_inj__on__Un,axiom,
% 3.29/3.52      ! [F: produc859450856879609959at_nat > product_unit,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( inj_on1041401102088758999t_unit @ F @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on1041401102088758999t_unit @ F @ A4 )
% 3.29/3.52          & ( inj_on1041401102088758999t_unit @ F @ B5 )
% 3.29/3.52          & ( ( inf_in4660618365625256667t_unit @ ( image_8487516615895632747t_unit @ F @ ( minus_8321449233255521966at_nat @ A4 @ B5 ) ) @ ( image_8487516615895632747t_unit @ F @ ( minus_8321449233255521966at_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2898_inj__on__Un,axiom,
% 3.29/3.52      ! [F: produc859450856879609959at_nat > $o,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( inj_on991952103320416098_nat_o @ F @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on991952103320416098_nat_o @ F @ A4 )
% 3.29/3.52          & ( inj_on991952103320416098_nat_o @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_o @ ( image_3275415580317762038_nat_o @ F @ ( minus_8321449233255521966at_nat @ A4 @ B5 ) ) @ ( image_3275415580317762038_nat_o @ F @ ( minus_8321449233255521966at_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_o ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2899_inj__on__Un,axiom,
% 3.29/3.52      ! [F: produc859450856879609959at_nat > nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( inj_on490725545064285830at_nat @ F @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on490725545064285830at_nat @ F @ A4 )
% 3.29/3.52          & ( inj_on490725545064285830at_nat @ F @ B5 )
% 3.29/3.52          & ( ( inf_inf_set_nat @ ( image_6160980552072806642at_nat @ F @ ( minus_8321449233255521966at_nat @ A4 @ B5 ) ) @ ( image_6160980552072806642at_nat @ F @ ( minus_8321449233255521966at_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bot_set_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2900_inj__on__Un,axiom,
% 3.29/3.52      ! [F: produc3843707927480180839at_nat > product_unit,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( inj_on3108384905993948887t_unit @ F @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on3108384905993948887t_unit @ F @ A4 )
% 3.29/3.52          & ( inj_on3108384905993948887t_unit @ F @ B5 )
% 3.29/3.52          & ( ( inf_in4660618365625256667t_unit @ ( image_7082456443403096939t_unit @ F @ ( minus_3314409938677909166at_nat @ A4 @ B5 ) ) @ ( image_7082456443403096939t_unit @ F @ ( minus_3314409938677909166at_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2901_inj__on__Un,axiom,
% 3.29/3.52      ! [F: produc859450856879609959at_nat > product_prod_nat_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( inj_on229527429751349963at_nat @ F @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( ( inj_on229527429751349963at_nat @ F @ A4 )
% 3.29/3.52          & ( inj_on229527429751349963at_nat @ F @ B5 )
% 3.29/3.52          & ( ( inf_in2572325071724192079at_nat @ ( image_6706873702294942047at_nat @ F @ ( minus_8321449233255521966at_nat @ A4 @ B5 ) ) @ ( image_6706873702294942047at_nat @ F @ ( minus_8321449233255521966at_nat @ B5 @ A4 ) ) )
% 3.29/3.52            = bot_bo2099793752762293965at_nat ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_Un
% 3.29/3.52  thf(fact_2902_inj__on__image,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ ( comple3221217463730067765et_int @ A4 ) )
% 3.29/3.52       => ( inj_on1389844818000382683et_nat @ ( image_int_nat @ F ) @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image
% 3.29/3.52  thf(fact_2903_inj__on__image,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ ( comple3221217463730067765et_int @ A4 ) )
% 3.29/3.52       => ( inj_on6435365835345961783et_int @ ( image_int_int @ F ) @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image
% 3.29/3.52  thf(fact_2904_inj__on__image,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ ( comple7399068483239264473et_nat @ A4 ) )
% 3.29/3.52       => ( inj_on1096178645466186887et_rat @ ( image_nat_rat @ F ) @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image
% 3.29/3.52  thf(fact_2905_inj__on__image,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ ( comple7399068483239264473et_nat @ A4 ) )
% 3.29/3.52       => ( inj_on4604407203859583615et_nat @ ( image_nat_nat @ F ) @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image
% 3.29/3.52  thf(fact_2906_inj__on__image,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ ( comple7399068483239264473et_nat @ A4 ) )
% 3.29/3.52       => ( inj_on426556184350386907et_int @ ( image_nat_int @ F ) @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image
% 3.29/3.52  thf(fact_2907_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > nat,B5: set_int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_int )
% 3.29/3.52           => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ ( sup_sup_set_int @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2908_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > nat,B5: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_nat )
% 3.29/3.52           => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2909_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > int,B5: set_int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_int )
% 3.29/3.52           => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( sup_sup_set_int @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2910_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > int,B5: set_Product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( sup_su793286257634532545t_unit @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2911_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_o,F: $o > int,B5: set_o] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_o )
% 3.29/3.52           => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( sup_sup_set_o @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2912_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > int,B5: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_nat )
% 3.29/3.52           => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Sup_Sup_int @ ( image_nat_int @ F @ ( sup_sup_set_nat @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2913_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ F @ B5 ) )
% 3.29/3.52             => ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ ( sup_su793286257634532545t_unit @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2914_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_o,F: $o > product_unit,B5: set_o] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_o )
% 3.29/3.52           => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ B5 ) )
% 3.29/3.52             => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ ( sup_sup_set_o @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2915_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > product_unit,B5: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_nat )
% 3.29/3.52           => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ B5 ) )
% 3.29/3.52             => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ ( sup_sup_set_nat @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2916_cSUP__union,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > set_nat,B5: set_Product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( condit5477540289124974626et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( ( condit5477540289124974626et_nat @ ( image_8173849991827986510et_nat @ F @ B5 ) )
% 3.29/3.52             => ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ ( sup_su793286257634532545t_unit @ A4 @ B5 ) ) )
% 3.29/3.52                = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cSUP_union
% 3.29/3.52  thf(fact_2917_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > nat,B5: set_int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_int )
% 3.29/3.52           => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ ( sup_sup_set_int @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2918_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > nat,B5: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_nat )
% 3.29/3.52           => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2919_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > int,B5: set_int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_int )
% 3.29/3.52           => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( sup_sup_set_int @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2920_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > int,B5: set_Product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( sup_su793286257634532545t_unit @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2921_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_o,F: $o > int,B5: set_o] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_o )
% 3.29/3.52           => ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( sup_sup_set_o @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2922_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > int,B5: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_nat )
% 3.29/3.52           => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ B5 ) )
% 3.29/3.52             => ( ( complete_Inf_Inf_int @ ( image_nat_int @ F @ ( sup_sup_set_nat @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2923_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > product_unit,B5: set_Product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ F @ B5 ) )
% 3.29/3.52             => ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ ( sup_su793286257634532545t_unit @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2924_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_o,F: $o > product_unit,B5: set_o] :
% 3.29/3.52        ( ( A4 != bot_bot_set_o )
% 3.29/3.52       => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_o )
% 3.29/3.52           => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ B5 ) )
% 3.29/3.52             => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ ( sup_sup_set_o @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2925_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > product_unit,B5: set_nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bot_set_nat )
% 3.29/3.52           => ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ B5 ) )
% 3.29/3.52             => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ ( sup_sup_set_nat @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2926_cINF__union,axiom,
% 3.29/3.52      ! [A4: set_Product_unit,F: product_unit > set_nat,B5: set_Product_unit] :
% 3.29/3.52        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.52       => ( ( condit68592940725977398et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.52           => ( ( condit68592940725977398et_nat @ ( image_8173849991827986510et_nat @ F @ B5 ) )
% 3.29/3.52             => ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ ( sup_su793286257634532545t_unit @ A4 @ B5 ) ) )
% 3.29/3.52                = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % cINF_union
% 3.29/3.52  thf(fact_2927_inj__on__image__Int,axiom,
% 3.29/3.52      ! [F: nat > rat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ C3 )
% 3.29/3.52       => ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.52         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.52           => ( ( image_nat_rat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52              = ( inf_inf_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Int
% 3.29/3.52  thf(fact_2928_inj__on__image__Int,axiom,
% 3.29/3.52      ! [F: nat > nat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ C3 )
% 3.29/3.52       => ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.52         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.52           => ( ( image_nat_nat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52              = ( inf_inf_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Int
% 3.29/3.52  thf(fact_2929_inj__on__image__Int,axiom,
% 3.29/3.52      ! [F: nat > int,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ C3 )
% 3.29/3.52       => ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.52         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.52           => ( ( image_nat_int @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52              = ( inf_inf_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Int
% 3.29/3.52  thf(fact_2930_inj__on__image__Int,axiom,
% 3.29/3.52      ! [F: int > nat,C3: set_int,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ C3 )
% 3.29/3.52       => ( ( ord_less_eq_set_int @ A4 @ C3 )
% 3.29/3.52         => ( ( ord_less_eq_set_int @ B5 @ C3 )
% 3.29/3.52           => ( ( image_int_nat @ F @ ( inf_inf_set_int @ A4 @ B5 ) )
% 3.29/3.52              = ( inf_inf_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Int
% 3.29/3.52  thf(fact_2931_inj__on__image__Int,axiom,
% 3.29/3.52      ! [F: int > int,C3: set_int,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ C3 )
% 3.29/3.52       => ( ( ord_less_eq_set_int @ A4 @ C3 )
% 3.29/3.52         => ( ( ord_less_eq_set_int @ B5 @ C3 )
% 3.29/3.52           => ( ( image_int_int @ F @ ( inf_inf_set_int @ A4 @ B5 ) )
% 3.29/3.52              = ( inf_inf_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Int
% 3.29/3.52  thf(fact_2932_inj__on__image__Int,axiom,
% 3.29/3.52      ! [F: product_prod_nat_nat > product_prod_nat_nat,C3: set_Pr1261947904930325089at_nat,A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( inj_on8969904277767023793at_nat @ F @ C3 )
% 3.29/3.52       => ( ( ord_le3146513528884898305at_nat @ A4 @ C3 )
% 3.29/3.52         => ( ( ord_le3146513528884898305at_nat @ B5 @ C3 )
% 3.29/3.52           => ( ( image_5168914502847457605at_nat @ F @ ( inf_in2572325071724192079at_nat @ A4 @ B5 ) )
% 3.29/3.52              = ( inf_in2572325071724192079at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) @ ( image_5168914502847457605at_nat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Int
% 3.29/3.52  thf(fact_2933_image__Int,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.52       => ( ( image_nat_rat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_inf_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2934_image__Int,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.52       => ( ( image_nat_nat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_inf_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2935_image__Int,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.52       => ( ( image_nat_int @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_inf_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2936_image__Int,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.52       => ( ( image_int_nat @ F @ ( inf_inf_set_int @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_inf_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2937_image__Int,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.52       => ( ( image_int_int @ F @ ( inf_inf_set_int @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_inf_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2938_image__Int,axiom,
% 3.29/3.52      ! [F: char > product_prod_nat_nat,A4: set_char,B5: set_char] :
% 3.29/3.52        ( ( inj_on1021528964648911549at_nat @ F @ top_top_set_char )
% 3.29/3.52       => ( ( image_8382823969816519465at_nat @ F @ ( inf_inf_set_char @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_in2572325071724192079at_nat @ ( image_8382823969816519465at_nat @ F @ A4 ) @ ( image_8382823969816519465at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2939_image__Int,axiom,
% 3.29/3.52      ! [F: rat > product_prod_nat_nat,A4: set_rat,B5: set_rat] :
% 3.29/3.52        ( ( inj_on8867882244352206326at_nat @ F @ top_top_set_rat )
% 3.29/3.52       => ( ( image_9175953278516507234at_nat @ F @ ( inf_inf_set_rat @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_in2572325071724192079at_nat @ ( image_9175953278516507234at_nat @ F @ A4 ) @ ( image_9175953278516507234at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2940_image__Int,axiom,
% 3.29/3.52      ! [F: nat > product_prod_nat_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( inj_on5538052773655684606at_nat @ F @ top_top_set_nat )
% 3.29/3.52       => ( ( image_5846123807819985514at_nat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_in2572325071724192079at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) @ ( image_5846123807819985514at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2941_image__Int,axiom,
% 3.29/3.52      ! [F: int > product_prod_nat_nat,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( inj_on8575894858119818402at_nat @ F @ top_top_set_int )
% 3.29/3.52       => ( ( image_8883965892284119310at_nat @ F @ ( inf_inf_set_int @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_in2572325071724192079at_nat @ ( image_8883965892284119310at_nat @ F @ A4 ) @ ( image_8883965892284119310at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2942_image__Int,axiom,
% 3.29/3.52      ! [F: list_nat > product_prod_nat_nat,A4: set_list_nat,B5: set_list_nat] :
% 3.29/3.52        ( ( inj_on7574789179980466158at_nat @ F @ top_top_set_list_nat )
% 3.29/3.52       => ( ( image_2795870212791037530at_nat @ F @ ( inf_inf_set_list_nat @ A4 @ B5 ) )
% 3.29/3.52          = ( inf_in2572325071724192079at_nat @ ( image_2795870212791037530at_nat @ F @ A4 ) @ ( image_2795870212791037530at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Int
% 3.29/3.52  thf(fact_2943_inj__on__image__Pow,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.52       => ( inj_on1096178645466186887et_rat @ ( image_nat_rat @ F ) @ ( pow_nat @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Pow
% 3.29/3.52  thf(fact_2944_inj__on__image__Pow,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.52       => ( inj_on4604407203859583615et_nat @ ( image_nat_nat @ F ) @ ( pow_nat @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Pow
% 3.29/3.52  thf(fact_2945_inj__on__image__Pow,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.52       => ( inj_on426556184350386907et_int @ ( image_nat_int @ F ) @ ( pow_nat @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Pow
% 3.29/3.52  thf(fact_2946_inj__on__image__Pow,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.52       => ( inj_on1389844818000382683et_nat @ ( image_int_nat @ F ) @ ( pow_int @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Pow
% 3.29/3.52  thf(fact_2947_inj__on__image__Pow,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.52       => ( inj_on6435365835345961783et_int @ ( image_int_int @ F ) @ ( pow_int @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Pow
% 3.29/3.52  thf(fact_2948_inj__on__image__Fpow,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.52       => ( inj_on1096178645466186887et_rat @ ( image_nat_rat @ F ) @ ( finite_Fpow_nat @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Fpow
% 3.29/3.52  thf(fact_2949_inj__on__image__Fpow,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.52       => ( inj_on4604407203859583615et_nat @ ( image_nat_nat @ F ) @ ( finite_Fpow_nat @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Fpow
% 3.29/3.52  thf(fact_2950_inj__on__image__Fpow,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.52       => ( inj_on426556184350386907et_int @ ( image_nat_int @ F ) @ ( finite_Fpow_nat @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Fpow
% 3.29/3.52  thf(fact_2951_inj__on__image__Fpow,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.52       => ( inj_on1389844818000382683et_nat @ ( image_int_nat @ F ) @ ( finite_Fpow_int @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Fpow
% 3.29/3.52  thf(fact_2952_inj__on__image__Fpow,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.52       => ( inj_on6435365835345961783et_int @ ( image_int_int @ F ) @ ( finite_Fpow_int @ A4 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_image_Fpow
% 3.29/3.52  thf(fact_2953_inj__on__imageI2,axiom,
% 3.29/3.52      ! [F3: $o > $o,F: nat > $o,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_o @ ( comp_o_o_nat @ F3 @ F ) @ A4 )
% 3.29/3.52       => ( inj_on_nat_o @ F @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_imageI2
% 3.29/3.52  thf(fact_2954_inj__on__imageI2,axiom,
% 3.29/3.52      ! [F3: nat > num,F: int > nat,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_num @ ( comp_nat_num_int @ F3 @ F ) @ A4 )
% 3.29/3.52       => ( inj_on_int_nat @ F @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_imageI2
% 3.29/3.52  thf(fact_2955_inj__on__imageI2,axiom,
% 3.29/3.52      ! [F3: nat > nat,F: nat > nat,A4: set_nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ ( comp_nat_nat_nat @ F3 @ F ) @ A4 )
% 3.29/3.52       => ( inj_on_nat_nat @ F @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_imageI2
% 3.29/3.52  thf(fact_2956_inj__on__imageI2,axiom,
% 3.29/3.52      ! [F3: int > nat,F: int > int,A4: set_int] :
% 3.29/3.52        ( ( inj_on_int_nat @ ( comp_int_nat_int @ F3 @ F ) @ A4 )
% 3.29/3.52       => ( inj_on_int_int @ F @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_imageI2
% 3.29/3.52  thf(fact_2957_inj__on__imageI2,axiom,
% 3.29/3.52      ! [F3: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,F: code_integer > code_integer > code_integer,A4: set_Code_integer] :
% 3.29/3.52        ( ( inj_on7031512951821619701nteger @ ( comp_C8797469213163452608nteger @ F3 @ F ) @ A4 )
% 3.29/3.52       => ( inj_on108595395805848489nteger @ F @ A4 ) ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_imageI2
% 3.29/3.52  thf(fact_2958_SUP__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_6654316230217496229at_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_6654316230217496229at_nat @ M @ A4 ) ) @ ( comple2748534634209756852at_nat @ ( image_6654316230217496229at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2959_SUP__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_Pr4329608150637261639at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_3876558564303283877at_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_3876558564303283877at_nat @ M @ A4 ) ) @ ( comple4364388969068068532at_nat @ ( image_3876558564303283877at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2960_SUP__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_Pr8693737435421807431at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_7260680879217540773at_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_7260680879217540773at_nat @ M @ A4 ) ) @ ( comple2748534634209756852at_nat @ ( image_7260680879217540773at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2961_SUP__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_7364710425340685989at_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_7364710425340685989at_nat @ M @ A4 ) ) @ ( comple4364388969068068532at_nat @ ( image_7364710425340685989at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2962_SUP__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_2819269535336293544et_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_2819269535336293544et_nat @ M @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_2819269535336293544et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2963_SUP__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ M @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2964_SUP__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > product_unit,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit @ ( image_8487516615895632747t_unit @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_8487516615895632747t_unit @ M @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_8487516615895632747t_unit @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2965_SUP__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > product_unit,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ M @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_7082456443403096939t_unit @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_union
% 3.29/3.52  thf(fact_2966_INF__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_1384942819424619199at_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_1384942819424619199at_nat @ M @ A4 ) ) @ ( comple1930127330929219688at_nat @ ( image_1384942819424619199at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_union
% 3.29/3.52  thf(fact_2967_INF__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ M @ A4 ) ) @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_union
% 3.29/3.52  thf(fact_2968_INF__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_2819269535336293544et_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_2819269535336293544et_nat @ M @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_2819269535336293544et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_union
% 3.29/3.52  thf(fact_2969_INF__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ M @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_union
% 3.29/3.52  thf(fact_2970_INF__union,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > product_unit,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit @ ( image_8487516615895632747t_unit @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_8487516615895632747t_unit @ M @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_8487516615895632747t_unit @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_union
% 3.29/3.52  thf(fact_2971_INF__union,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > product_unit,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ M @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_7082456443403096939t_unit @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_union
% 3.29/3.52  thf(fact_2972_image__Un,axiom,
% 3.29/3.52      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( image_nat_rat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_sup_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2973_image__Un,axiom,
% 3.29/3.52      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( image_nat_nat @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2974_image__Un,axiom,
% 3.29/3.52      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.52        ( ( image_nat_int @ F @ ( sup_sup_set_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_sup_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2975_image__Un,axiom,
% 3.29/3.52      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( image_int_nat @ F @ ( sup_sup_set_int @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2976_image__Un,axiom,
% 3.29/3.52      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.52        ( ( image_int_int @ F @ ( sup_sup_set_int @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_sup_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2977_image__Un,axiom,
% 3.29/3.52      ! [F: produc859450856879609959at_nat > produc859450856879609959at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( image_6321802852832981957at_nat @ F @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( image_6321802852832981957at_nat @ F @ A4 ) @ ( image_6321802852832981957at_nat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2978_image__Un,axiom,
% 3.29/3.52      ! [F: produc859450856879609959at_nat > produc3843707927480180839at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( image_7637461350386011077at_nat @ F @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( image_7637461350386011077at_nat @ F @ A4 ) @ ( image_7637461350386011077at_nat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2979_image__Un,axiom,
% 3.29/3.52      ! [F: produc3843707927480180839at_nat > produc859450856879609959at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( image_5653576389946358725at_nat @ F @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( image_5653576389946358725at_nat @ F @ A4 ) @ ( image_5653576389946358725at_nat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2980_image__Un,axiom,
% 3.29/3.52      ! [F: produc3843707927480180839at_nat > produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( image_960689587819713477at_nat @ F @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( image_960689587819713477at_nat @ F @ A4 ) @ ( image_960689587819713477at_nat @ F @ B5 ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % image_Un
% 3.29/3.52  thf(fact_2981_INT__Un,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_1384942819424619199at_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_1384942819424619199at_nat @ M @ A4 ) ) @ ( comple1930127330929219688at_nat @ ( image_1384942819424619199at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_Un
% 3.29/3.52  thf(fact_2982_INT__Un,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ M @ A4 ) ) @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_Un
% 3.29/3.52  thf(fact_2983_INT__Un,axiom,
% 3.29/3.52      ! [M: produc859450856879609959at_nat > set_nat,A4: set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_2819269535336293544et_nat @ M @ ( sup_su718114333110466843at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_2819269535336293544et_nat @ M @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_2819269535336293544et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_Un
% 3.29/3.52  thf(fact_2984_INT__Un,axiom,
% 3.29/3.52      ! [M: produc3843707927480180839at_nat > set_nat,A4: set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ M @ ( sup_su5525570899277871387at_nat @ A4 @ B5 ) ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ M @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ M @ B5 ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INT_Un
% 3.29/3.52  thf(fact_2985_inj__on__convol__ident,axiom,
% 3.29/3.52      ! [F: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat,X5: set_se5479201105039950375at_nat] :
% 3.29/3.52        ( inj_on1468925692805905105at_nat
% 3.29/3.52        @ ^ [X4: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ X4 @ ( F @ X4 ) )
% 3.29/3.52        @ X5 ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_convol_ident
% 3.29/3.52  thf(fact_2986_inj__on__convol__ident,axiom,
% 3.29/3.52      ! [F: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat,X5: set_se7855581050983116737at_nat] :
% 3.29/3.52        ( inj_on699426629415580343at_nat
% 3.29/3.52        @ ^ [X4: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ X4 @ ( F @ X4 ) )
% 3.29/3.52        @ X5 ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_convol_ident
% 3.29/3.52  thf(fact_2987_inj__on__convol__ident,axiom,
% 3.29/3.52      ! [F: nat > num,X5: set_nat] :
% 3.29/3.52        ( inj_on6246296710604522312at_num
% 3.29/3.52        @ ^ [X4: nat] : ( product_Pair_nat_num @ X4 @ ( F @ X4 ) )
% 3.29/3.52        @ X5 ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_convol_ident
% 3.29/3.52  thf(fact_2988_inj__on__convol__ident,axiom,
% 3.29/3.52      ! [F: nat > nat,X5: set_nat] :
% 3.29/3.52        ( inj_on5538052773655684606at_nat
% 3.29/3.52        @ ^ [X4: nat] : ( product_Pair_nat_nat @ X4 @ ( F @ X4 ) )
% 3.29/3.52        @ X5 ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_convol_ident
% 3.29/3.52  thf(fact_2989_inj__on__convol__ident,axiom,
% 3.29/3.52      ! [F: int > int,X5: set_int] :
% 3.29/3.52        ( inj_on5397397550511676250nt_int
% 3.29/3.52        @ ^ [X4: int] : ( product_Pair_int_int @ X4 @ ( F @ X4 ) )
% 3.29/3.52        @ X5 ) ).
% 3.29/3.52  
% 3.29/3.52  % inj_on_convol_ident
% 3.29/3.52  thf(fact_2990_total__onI,axiom,
% 3.29/3.52      ! [A4: set_Pr4329608150637261639at_nat,R: set_Pr5564308138774400199at_nat] :
% 3.29/3.52        ( ! [X: produc3843707927480180839at_nat,Y: produc3843707927480180839at_nat] :
% 3.29/3.52            ( ( member8757157785044589968at_nat @ X @ A4 )
% 3.29/3.52           => ( ( member8757157785044589968at_nat @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ X @ Y ) @ R )
% 3.29/3.52                  | ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_1513685709984341995at_nat @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2991_total__onI,axiom,
% 3.29/3.52      ! [A4: set_o,R: set_Product_prod_o_o] :
% 3.29/3.52        ( ! [X: $o,Y: $o] :
% 3.29/3.52            ( ( member_o @ X @ A4 )
% 3.29/3.52           => ( ( member_o @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ X @ Y ) @ R )
% 3.29/3.52                  | ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_on_o @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2992_total__onI,axiom,
% 3.29/3.52      ! [A4: set_se5479201105039950375at_nat,R: set_Pr7459493094073627847at_nat] :
% 3.29/3.52        ( ! [X: set_Pr4329608150637261639at_nat,Y: set_Pr4329608150637261639at_nat] :
% 3.29/3.52            ( ( member6273874620674182256at_nat @ X @ A4 )
% 3.29/3.52           => ( ( member6273874620674182256at_nat @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X @ Y ) @ R )
% 3.29/3.52                  | ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_5117575981256876747at_nat @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2993_total__onI,axiom,
% 3.29/3.52      ! [A4: set_se7855581050983116737at_nat,R: set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ! [X: set_Pr1261947904930325089at_nat,Y: set_Pr1261947904930325089at_nat] :
% 3.29/3.52            ( ( member2643936169264416010at_nat @ X @ A4 )
% 3.29/3.52           => ( ( member2643936169264416010at_nat @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X @ Y ) @ R )
% 3.29/3.52                  | ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_7212417256332265445at_nat @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2994_total__onI,axiom,
% 3.29/3.52      ! [A4: set_nat,R: set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ! [X: nat,Y: nat] :
% 3.29/3.52            ( ( member_nat @ X @ A4 )
% 3.29/3.52           => ( ( member_nat @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ R )
% 3.29/3.52                  | ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_on_nat @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2995_total__onI,axiom,
% 3.29/3.52      ! [A4: set_int,R: set_Pr958786334691620121nt_int] :
% 3.29/3.52        ( ! [X: int,Y: int] :
% 3.29/3.52            ( ( member_int @ X @ A4 )
% 3.29/3.52           => ( ( member_int @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X @ Y ) @ R )
% 3.29/3.52                  | ( member5262025264175285858nt_int @ ( product_Pair_int_int @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_on_int @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2996_total__onI,axiom,
% 3.29/3.52      ! [A4: set_Pr1261947904930325089at_nat,R: set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ! [X: product_prod_nat_nat,Y: product_prod_nat_nat] :
% 3.29/3.52            ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.52           => ( ( member8440522571783428010at_nat @ Y @ A4 )
% 3.29/3.52             => ( ( X != Y )
% 3.29/3.52               => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X @ Y ) @ R )
% 3.29/3.52                  | ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ Y @ X ) @ R ) ) ) ) )
% 3.29/3.52       => ( total_3592101749530773125at_nat @ A4 @ R ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_onI
% 3.29/3.52  thf(fact_2997_total__on__def,axiom,
% 3.29/3.52      ( total_5117575981256876747at_nat
% 3.29/3.52      = ( ^ [A6: set_se5479201105039950375at_nat,R5: set_Pr7459493094073627847at_nat] :
% 3.29/3.52          ! [X4: set_Pr4329608150637261639at_nat] :
% 3.29/3.52            ( ( member6273874620674182256at_nat @ X4 @ A6 )
% 3.29/3.52           => ! [Y5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52                ( ( member6273874620674182256at_nat @ Y5 @ A6 )
% 3.29/3.52               => ( ( X4 != Y5 )
% 3.29/3.52                 => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R5 )
% 3.29/3.52                    | ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ Y5 @ X4 ) @ R5 ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_def
% 3.29/3.52  thf(fact_2998_total__on__def,axiom,
% 3.29/3.52      ( total_7212417256332265445at_nat
% 3.29/3.52      = ( ^ [A6: set_se7855581050983116737at_nat,R5: set_Pr4329608150637261639at_nat] :
% 3.29/3.52          ! [X4: set_Pr1261947904930325089at_nat] :
% 3.29/3.52            ( ( member2643936169264416010at_nat @ X4 @ A6 )
% 3.29/3.52           => ! [Y5: set_Pr1261947904930325089at_nat] :
% 3.29/3.52                ( ( member2643936169264416010at_nat @ Y5 @ A6 )
% 3.29/3.52               => ( ( X4 != Y5 )
% 3.29/3.52                 => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R5 )
% 3.29/3.52                    | ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ Y5 @ X4 ) @ R5 ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_def
% 3.29/3.52  thf(fact_2999_total__on__def,axiom,
% 3.29/3.52      ( total_on_nat
% 3.29/3.52      = ( ^ [A6: set_nat,R5: set_Pr1261947904930325089at_nat] :
% 3.29/3.52          ! [X4: nat] :
% 3.29/3.52            ( ( member_nat @ X4 @ A6 )
% 3.29/3.52           => ! [Y5: nat] :
% 3.29/3.52                ( ( member_nat @ Y5 @ A6 )
% 3.29/3.52               => ( ( X4 != Y5 )
% 3.29/3.52                 => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R5 )
% 3.29/3.52                    | ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ Y5 @ X4 ) @ R5 ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_def
% 3.29/3.52  thf(fact_3000_total__on__def,axiom,
% 3.29/3.52      ( total_on_int
% 3.29/3.52      = ( ^ [A6: set_int,R5: set_Pr958786334691620121nt_int] :
% 3.29/3.52          ! [X4: int] :
% 3.29/3.52            ( ( member_int @ X4 @ A6 )
% 3.29/3.52           => ! [Y5: int] :
% 3.29/3.52                ( ( member_int @ Y5 @ A6 )
% 3.29/3.52               => ( ( X4 != Y5 )
% 3.29/3.52                 => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R5 )
% 3.29/3.52                    | ( member5262025264175285858nt_int @ ( product_Pair_int_int @ Y5 @ X4 ) @ R5 ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_def
% 3.29/3.52  thf(fact_3001_total__on__def,axiom,
% 3.29/3.52      ( total_3592101749530773125at_nat
% 3.29/3.52      = ( ^ [A6: set_Pr1261947904930325089at_nat,R5: set_Pr8693737435421807431at_nat] :
% 3.29/3.52          ! [X4: product_prod_nat_nat] :
% 3.29/3.52            ( ( member8440522571783428010at_nat @ X4 @ A6 )
% 3.29/3.52           => ! [Y5: product_prod_nat_nat] :
% 3.29/3.52                ( ( member8440522571783428010at_nat @ Y5 @ A6 )
% 3.29/3.52               => ( ( X4 != Y5 )
% 3.29/3.52                 => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X4 @ Y5 ) @ R5 )
% 3.29/3.52                    | ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ Y5 @ X4 ) @ R5 ) ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % total_on_def
% 3.29/3.52  thf(fact_3002_SUP__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_UNIV_bool_expand
% 3.29/3.52  thf(fact_3003_SUP__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_UNIV_bool_expand
% 3.29/3.52  thf(fact_3004_SUP__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > set_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_UNIV_bool_expand
% 3.29/3.52  thf(fact_3005_SUP__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > product_unit] :
% 3.29/3.52        ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_sup_Product_unit @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % SUP_UNIV_bool_expand
% 3.29/3.52  thf(fact_3006_INF__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.52        ( ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( inf_in2572325071724192079at_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_UNIV_bool_expand
% 3.29/3.52  thf(fact_3007_INF__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > set_nat] :
% 3.29/3.52        ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( inf_inf_set_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_UNIV_bool_expand
% 3.29/3.52  thf(fact_3008_INF__UNIV__bool__expand,axiom,
% 3.29/3.52      ! [A4: $o > product_unit] :
% 3.29/3.52        ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( inf_inf_Product_unit @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % INF_UNIV_bool_expand
% 3.29/3.52  thf(fact_3009_fun_Oinj__map,axiom,
% 3.29/3.52      ! [F: $o > $o] :
% 3.29/3.52        ( ( inj_on_o_o @ F @ top_top_set_o )
% 3.29/3.52       => ( inj_on_nat_o_nat_o @ ( comp_o_o_nat @ F ) @ top_top_set_nat_o ) ) ).
% 3.29/3.52  
% 3.29/3.52  % fun.inj_map
% 3.29/3.52  thf(fact_3010_fun_Oinj__map,axiom,
% 3.29/3.52      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.52        ( ( inj_on3998011822705705585nteger @ F @ top_to3804862627464599871nteger )
% 3.29/3.52       => ( inj_on5500977043710295017nteger @ ( comp_C8797469213163452608nteger @ F ) @ top_to3639204395728341691nteger ) ) ).
% 3.29/3.52  
% 3.29/3.52  % fun.inj_map
% 3.29/3.52  thf(fact_3011_fun_Oinj__map,axiom,
% 3.29/3.52      ! [F: nat > num] :
% 3.29/3.52        ( ( inj_on_nat_num @ F @ top_top_set_nat )
% 3.29/3.52       => ( inj_on5377432224680912883nt_num @ ( comp_nat_num_int @ F ) @ top_top_set_int_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % fun.inj_map
% 3.29/3.52  thf(fact_3012_fun_Oinj__map,axiom,
% 3.29/3.52      ! [F: nat > nat] :
% 3.29/3.52        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.52       => ( inj_on2461717442902640625at_nat @ ( comp_nat_nat_nat @ F ) @ top_top_set_nat_nat ) ) ).
% 3.29/3.52  
% 3.29/3.52  % fun.inj_map
% 3.29/3.52  thf(fact_3013_fun_Oinj__map,axiom,
% 3.29/3.52      ! [F: int > nat] :
% 3.29/3.52        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.52       => ( inj_on856898432580761861nt_nat @ ( comp_int_nat_int @ F ) @ top_top_set_int_int ) ) ).
% 3.29/3.52  
% 3.29/3.52  % fun.inj_map
% 3.29/3.52  thf(fact_3014_Un__eq__UN,axiom,
% 3.29/3.52      ( sup_su718114333110466843at_nat
% 3.29/3.52      = ( ^ [A6: set_Pr8693737435421807431at_nat,B6: set_Pr8693737435421807431at_nat] :
% 3.29/3.52            ( comple2748534634209756852at_nat
% 3.29/3.52            @ ( image_8493167801588156084at_nat
% 3.29/3.52              @ ^ [B4: $o] : ( if_set1508868558775481357at_nat @ B4 @ A6 @ B6 )
% 3.29/3.52              @ top_top_set_o ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Un_eq_UN
% 3.29/3.52  thf(fact_3015_Un__eq__UN,axiom,
% 3.29/3.52      ( sup_su5525570899277871387at_nat
% 3.29/3.52      = ( ^ [A6: set_Pr4329608150637261639at_nat,B6: set_Pr4329608150637261639at_nat] :
% 3.29/3.52            ( comple4364388969068068532at_nat
% 3.29/3.52            @ ( image_2496312346330513076at_nat
% 3.29/3.52              @ ^ [B4: $o] : ( if_set3208018901896979469at_nat @ B4 @ A6 @ B6 )
% 3.29/3.52              @ top_top_set_o ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Un_eq_UN
% 3.29/3.52  thf(fact_3016_Un__eq__UN,axiom,
% 3.29/3.52      ( sup_sup_set_nat
% 3.29/3.52      = ( ^ [A6: set_nat,B6: set_nat] :
% 3.29/3.52            ( comple7399068483239264473et_nat
% 3.29/3.52            @ ( image_o_set_nat
% 3.29/3.52              @ ^ [B4: $o] : ( if_set_nat @ B4 @ A6 @ B6 )
% 3.29/3.52              @ top_top_set_o ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % Un_eq_UN
% 3.29/3.52  thf(fact_3017_UN__bool__eq,axiom,
% 3.29/3.52      ! [A4: $o > set_Pr8693737435421807431at_nat] :
% 3.29/3.52        ( ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_su718114333110466843at_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_bool_eq
% 3.29/3.52  thf(fact_3018_UN__bool__eq,axiom,
% 3.29/3.52      ! [A4: $o > set_Pr4329608150637261639at_nat] :
% 3.29/3.52        ( ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_su5525570899277871387at_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_bool_eq
% 3.29/3.52  thf(fact_3019_UN__bool__eq,axiom,
% 3.29/3.52      ! [A4: $o > set_nat] :
% 3.29/3.52        ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ top_top_set_o ) )
% 3.29/3.52        = ( sup_sup_set_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % UN_bool_eq
% 3.29/3.52  thf(fact_3020_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > nat,G: int > nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.52           => ( ( sup_sup_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ A4 ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_nat
% 3.29/3.52                @ ( image_int_nat
% 3.29/3.52                  @ ^ [A5: int] : ( sup_sup_nat @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.52  thf(fact_3021_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.52      ! [A4: set_nat,F: nat > nat,G: nat > nat] :
% 3.29/3.52        ( ( A4 != bot_bot_set_nat )
% 3.29/3.52       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.52         => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.52           => ( ( sup_sup_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ A4 ) ) )
% 3.29/3.52              = ( complete_Sup_Sup_nat
% 3.29/3.52                @ ( image_nat_nat
% 3.29/3.52                  @ ^ [A5: nat] : ( sup_sup_nat @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.52                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.52  
% 3.29/3.52  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.52  thf(fact_3022_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.52      ! [A4: set_int,F: int > int,G: int > int] :
% 3.29/3.52        ( ( A4 != bot_bot_set_int )
% 3.29/3.52       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.52         => ( ( condit2212336002400062152ve_int @ ( image_int_int @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_int_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Sup_Sup_int
% 3.29/3.53                @ ( image_int_int
% 3.29/3.53                  @ ^ [A5: int] : ( sup_sup_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3023_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > int,G: product_unit > int] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Sup_Sup_int
% 3.29/3.53                @ ( image_873079544045703924it_int
% 3.29/3.53                  @ ^ [A5: product_unit] : ( sup_sup_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3024_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,G: $o > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit2212336002400062152ve_int @ ( image_o_int @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_o_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Sup_Sup_int
% 3.29/3.53                @ ( image_o_int
% 3.29/3.53                  @ ^ [A5: $o] : ( sup_sup_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3025_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,G: nat > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_int @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_nat_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Sup_Sup_int
% 3.29/3.53                @ ( image_nat_int
% 3.29/3.53                  @ ^ [A5: nat] : ( sup_sup_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3026_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > product_unit,G: product_unit > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ G @ A4 ) ) )
% 3.29/3.53              = ( comple4687483117567863418t_unit
% 3.29/3.53                @ ( image_405062704495631173t_unit
% 3.29/3.53                  @ ^ [A5: product_unit] : ( sup_sup_Product_unit @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3027_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > product_unit,G: $o > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ G @ A4 ) ) )
% 3.29/3.53              = ( comple4687483117567863418t_unit
% 3.29/3.53                @ ( image_o_Product_unit
% 3.29/3.53                  @ ^ [A5: $o] : ( sup_sup_Product_unit @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3028_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > product_unit,G: nat > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_Product_unit @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ G @ A4 ) ) )
% 3.29/3.53              = ( comple4687483117567863418t_unit
% 3.29/3.53                @ ( image_8730104196221521654t_unit
% 3.29/3.53                  @ ^ [A5: nat] : ( sup_sup_Product_unit @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3029_conditionally__complete__lattice__class_OSUP__sup__distrib,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > set_nat,G: product_unit > set_nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit5477540289124974626et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit5477540289124974626et_nat @ ( image_8173849991827986510et_nat @ G @ A4 ) )
% 3.29/3.53           => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ G @ A4 ) ) )
% 3.29/3.53              = ( comple7399068483239264473et_nat
% 3.29/3.53                @ ( image_8173849991827986510et_nat
% 3.29/3.53                  @ ^ [A5: product_unit] : ( sup_sup_set_nat @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % conditionally_complete_lattice_class.SUP_sup_distrib
% 3.29/3.53  thf(fact_3030_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > nat,G: int > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_int_nat
% 3.29/3.53                  @ ^ [A5: int] : ( inf_inf_nat @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3031_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > nat,G: nat > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_nat_nat
% 3.29/3.53                  @ ^ [A5: nat] : ( inf_inf_nat @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3032_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > int,G: int > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_int_int @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_int_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Inf_Inf_int
% 3.29/3.53                @ ( image_int_int
% 3.29/3.53                  @ ^ [A5: int] : ( inf_inf_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3033_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > int,G: product_unit > int] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Inf_Inf_int
% 3.29/3.53                @ ( image_873079544045703924it_int
% 3.29/3.53                  @ ^ [A5: product_unit] : ( inf_inf_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3034_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,G: $o > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_o_int @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_o_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Inf_Inf_int
% 3.29/3.53                @ ( image_o_int
% 3.29/3.53                  @ ^ [A5: $o] : ( inf_inf_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3035_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,G: nat > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_int @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_nat_int @ G @ A4 ) ) )
% 3.29/3.53              = ( complete_Inf_Inf_int
% 3.29/3.53                @ ( image_nat_int
% 3.29/3.53                  @ ^ [A5: nat] : ( inf_inf_int @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3036_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > product_unit,G: product_unit > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ G @ A4 ) ) )
% 3.29/3.53              = ( comple2584293577114468500t_unit
% 3.29/3.53                @ ( image_405062704495631173t_unit
% 3.29/3.53                  @ ^ [A5: product_unit] : ( inf_inf_Product_unit @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3037_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > product_unit,G: $o > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ G @ A4 ) ) )
% 3.29/3.53              = ( comple2584293577114468500t_unit
% 3.29/3.53                @ ( image_o_Product_unit
% 3.29/3.53                  @ ^ [A5: $o] : ( inf_inf_Product_unit @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3038_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > product_unit,G: nat > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ G @ A4 ) ) )
% 3.29/3.53              = ( comple2584293577114468500t_unit
% 3.29/3.53                @ ( image_8730104196221521654t_unit
% 3.29/3.53                  @ ^ [A5: nat] : ( inf_inf_Product_unit @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3039_cINF__inf__distrib,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > set_nat,G: product_unit > set_nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit68592940725977398et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit68592940725977398et_nat @ ( image_8173849991827986510et_nat @ G @ A4 ) )
% 3.29/3.53           => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ G @ A4 ) ) )
% 3.29/3.53              = ( comple7806235888213564991et_nat
% 3.29/3.53                @ ( image_8173849991827986510et_nat
% 3.29/3.53                  @ ^ [A5: product_unit] : ( inf_inf_set_nat @ ( F @ A5 ) @ ( G @ A5 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_inf_distrib
% 3.29/3.53  thf(fact_3040_fsts_Ointros,axiom,
% 3.29/3.53      ! [P: produc7812382424243267045t_unit] : ( member_ref_a @ ( produc473321116828791851t_unit @ P ) @ ( basic_685971451221398055t_unit @ P ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fsts.intros
% 3.29/3.53  thf(fact_3041_fsts_Osimps,axiom,
% 3.29/3.53      ! [A: ref_a,P: produc7812382424243267045t_unit] :
% 3.29/3.53        ( ( member_ref_a @ A @ ( basic_685971451221398055t_unit @ P ) )
% 3.29/3.53        = ( A
% 3.29/3.53          = ( produc473321116828791851t_unit @ P ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fsts.simps
% 3.29/3.53  thf(fact_3042_fsts_Ocases,axiom,
% 3.29/3.53      ! [A: ref_a,P: produc7812382424243267045t_unit] :
% 3.29/3.53        ( ( member_ref_a @ A @ ( basic_685971451221398055t_unit @ P ) )
% 3.29/3.53       => ( A
% 3.29/3.53          = ( produc473321116828791851t_unit @ P ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fsts.cases
% 3.29/3.53  thf(fact_3043_INT__bool__eq,axiom,
% 3.29/3.53      ! [A4: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ top_top_set_o ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_bool_eq
% 3.29/3.53  thf(fact_3044_INT__bool__eq,axiom,
% 3.29/3.53      ! [A4: $o > set_nat] :
% 3.29/3.53        ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ top_top_set_o ) )
% 3.29/3.53        = ( inf_inf_set_nat @ ( A4 @ $true ) @ ( A4 @ $false ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_bool_eq
% 3.29/3.53  thf(fact_3045_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,A: nat] :
% 3.29/3.53        ( ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53          = ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53           => ( ( member_nat @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3046_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,A: int] :
% 3.29/3.53        ( ( ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53          = ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53           => ( ( member_int @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3047_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: $o > int,A4: set_o,A: $o] :
% 3.29/3.53        ( ( ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53          = ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53           => ( ( member_o @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3048_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,A: nat] :
% 3.29/3.53        ( ( ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53          = ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53           => ( ( member_nat @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3049_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,A: int] :
% 3.29/3.53        ( ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53          = ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53           => ( ( member_int @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3050_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_o,A: $o] :
% 3.29/3.53        ( ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53           => ( ( member_o @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3051_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: set_nat,A: nat] :
% 3.29/3.53        ( ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53           => ( ( member_nat @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3052_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: int > product_unit,A4: set_int,A: int] :
% 3.29/3.53        ( ( ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( condit9161856309968323677t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53           => ( ( member_int @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3053_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A4: set_o,A: $o] :
% 3.29/3.53        ( ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit5477540289124974626et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit68592940725977398et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53           => ( ( member_o @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3054_cSUP__eq__cINF__D,axiom,
% 3.29/3.53      ! [F: nat > set_nat,A4: set_nat,A: nat] :
% 3.29/3.53        ( ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) )
% 3.29/3.53       => ( ( condit5477540289124974626et_nat @ ( image_nat_set_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( condit68592940725977398et_nat @ ( image_nat_set_nat @ F @ A4 ) )
% 3.29/3.53           => ( ( member_nat @ A @ A4 )
% 3.29/3.53             => ( ( F @ A )
% 3.29/3.53                = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_eq_cINF_D
% 3.29/3.53  thf(fact_3055_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > nat,A: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ ( insert_int @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_nat @ ( F @ A ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3056_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > nat,A: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_nat @ ( F @ A ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3057_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > int,A: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Sup_Sup_int @ ( image_int_int @ F @ ( insert_int @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_int @ ( F @ A ) @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3058_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > int,A: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_int @ ( F @ A ) @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3059_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,A: $o] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Sup_Sup_int @ ( image_o_int @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_int @ ( F @ A ) @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3060_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,A: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Sup_Sup_int @ ( image_nat_int @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_int @ ( F @ A ) @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3061_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > product_unit,A: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3062_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > product_unit,A: $o] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3063_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > product_unit,A: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3064_cSUP__insert,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > set_nat,A: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit5477540289124974626et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53            = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_insert
% 3.29/3.53  thf(fact_3065_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > nat,A: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ ( insert_int @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_nat @ ( F @ A ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3066_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > nat,A: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_nat @ ( F @ A ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3067_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > int,A: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Inf_Inf_int @ ( image_int_int @ F @ ( insert_int @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_int @ ( F @ A ) @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3068_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > int,A: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_int @ ( F @ A ) @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3069_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,A: $o] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Inf_Inf_int @ ( image_o_int @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_int @ ( F @ A ) @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3070_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,A: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( complete_Inf_Inf_int @ ( image_nat_int @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_int @ ( F @ A ) @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3071_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > product_unit,A: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3072_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > product_unit,A: $o] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3073_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > product_unit,A: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3074_cINF__insert,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > set_nat,A: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit68592940725977398et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53            = ( inf_inf_set_nat @ ( F @ A ) @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_insert
% 3.29/3.53  thf(fact_3075_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: $o > $o,B5: set_o,A: $o,A4: set_o] :
% 3.29/3.53        ( ( inj_on_o_o @ F @ B5 )
% 3.29/3.53       => ( ( member_o @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ( member_o @ ( F @ A ) @ ( image_o_o @ F @ A4 ) )
% 3.29/3.53              = ( member_o @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3076_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: $o > nat,B5: set_o,A: $o,A4: set_o] :
% 3.29/3.53        ( ( inj_on_o_nat @ F @ B5 )
% 3.29/3.53       => ( ( member_o @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ( member_nat @ ( F @ A ) @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53              = ( member_o @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3077_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: $o > int,B5: set_o,A: $o,A4: set_o] :
% 3.29/3.53        ( ( inj_on_o_int @ F @ B5 )
% 3.29/3.53       => ( ( member_o @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ( member_int @ ( F @ A ) @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53              = ( member_o @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3078_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: nat > rat,B5: set_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ B5 )
% 3.29/3.53       => ( ( member_nat @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ( member_rat @ ( F @ A ) @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.53              = ( member_nat @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3079_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: nat > $o,B5: set_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_o @ F @ B5 )
% 3.29/3.53       => ( ( member_nat @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ( member_o @ ( F @ A ) @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.53              = ( member_nat @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3080_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: nat > nat,B5: set_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ B5 )
% 3.29/3.53       => ( ( member_nat @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ( member_nat @ ( F @ A ) @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53              = ( member_nat @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3081_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: nat > int,B5: set_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ B5 )
% 3.29/3.53       => ( ( member_nat @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ( member_int @ ( F @ A ) @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53              = ( member_nat @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3082_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: int > $o,B5: set_int,A: int,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_o @ F @ B5 )
% 3.29/3.53       => ( ( member_int @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ( member_o @ ( F @ A ) @ ( image_int_o @ F @ A4 ) )
% 3.29/3.53              = ( member_int @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3083_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: int > nat,B5: set_int,A: int,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ B5 )
% 3.29/3.53       => ( ( member_int @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ( member_nat @ ( F @ A ) @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53              = ( member_int @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3084_inj__on__image__mem__iff,axiom,
% 3.29/3.53      ! [F: int > int,B5: set_int,A: int,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ B5 )
% 3.29/3.53       => ( ( member_int @ A @ B5 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ( member_int @ ( F @ A ) @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53              = ( member_int @ A @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_mem_iff
% 3.29/3.53  thf(fact_3085_inj__on__image__eq__iff,axiom,
% 3.29/3.53      ! [F: nat > rat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.53           => ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.53                = ( image_nat_rat @ F @ B5 ) )
% 3.29/3.53              = ( A4 = B5 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_eq_iff
% 3.29/3.53  thf(fact_3086_inj__on__image__eq__iff,axiom,
% 3.29/3.53      ! [F: nat > nat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.53           => ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.53                = ( image_nat_nat @ F @ B5 ) )
% 3.29/3.53              = ( A4 = B5 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_eq_iff
% 3.29/3.53  thf(fact_3087_inj__on__image__eq__iff,axiom,
% 3.29/3.53      ! [F: nat > int,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ A4 @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.53           => ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.53                = ( image_nat_int @ F @ B5 ) )
% 3.29/3.53              = ( A4 = B5 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_eq_iff
% 3.29/3.53  thf(fact_3088_inj__on__image__eq__iff,axiom,
% 3.29/3.53      ! [F: int > nat,C3: set_int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ A4 @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ B5 @ C3 )
% 3.29/3.53           => ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.53                = ( image_int_nat @ F @ B5 ) )
% 3.29/3.53              = ( A4 = B5 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_eq_iff
% 3.29/3.53  thf(fact_3089_inj__on__image__eq__iff,axiom,
% 3.29/3.53      ! [F: int > int,C3: set_int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ A4 @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ B5 @ C3 )
% 3.29/3.53           => ( ( ( image_int_int @ F @ A4 )
% 3.29/3.53                = ( image_int_int @ F @ B5 ) )
% 3.29/3.53              = ( A4 = B5 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_eq_iff
% 3.29/3.53  thf(fact_3090_subset__image__inj,axiom,
% 3.29/3.53      ! [S5: set_rat,F: nat > rat,T3: set_nat] :
% 3.29/3.53        ( ( ord_less_eq_set_rat @ S5 @ ( image_nat_rat @ F @ T3 ) )
% 3.29/3.53        = ( ? [U2: set_nat] :
% 3.29/3.53              ( ( ord_less_eq_set_nat @ U2 @ T3 )
% 3.29/3.53              & ( inj_on_nat_rat @ F @ U2 )
% 3.29/3.53              & ( S5
% 3.29/3.53                = ( image_nat_rat @ F @ U2 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % subset_image_inj
% 3.29/3.53  thf(fact_3091_subset__image__inj,axiom,
% 3.29/3.53      ! [S5: set_nat,F: nat > nat,T3: set_nat] :
% 3.29/3.53        ( ( ord_less_eq_set_nat @ S5 @ ( image_nat_nat @ F @ T3 ) )
% 3.29/3.53        = ( ? [U2: set_nat] :
% 3.29/3.53              ( ( ord_less_eq_set_nat @ U2 @ T3 )
% 3.29/3.53              & ( inj_on_nat_nat @ F @ U2 )
% 3.29/3.53              & ( S5
% 3.29/3.53                = ( image_nat_nat @ F @ U2 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % subset_image_inj
% 3.29/3.53  thf(fact_3092_subset__image__inj,axiom,
% 3.29/3.53      ! [S5: set_int,F: nat > int,T3: set_nat] :
% 3.29/3.53        ( ( ord_less_eq_set_int @ S5 @ ( image_nat_int @ F @ T3 ) )
% 3.29/3.53        = ( ? [U2: set_nat] :
% 3.29/3.53              ( ( ord_less_eq_set_nat @ U2 @ T3 )
% 3.29/3.53              & ( inj_on_nat_int @ F @ U2 )
% 3.29/3.53              & ( S5
% 3.29/3.53                = ( image_nat_int @ F @ U2 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % subset_image_inj
% 3.29/3.53  thf(fact_3093_subset__image__inj,axiom,
% 3.29/3.53      ! [S5: set_nat,F: int > nat,T3: set_int] :
% 3.29/3.53        ( ( ord_less_eq_set_nat @ S5 @ ( image_int_nat @ F @ T3 ) )
% 3.29/3.53        = ( ? [U2: set_int] :
% 3.29/3.53              ( ( ord_less_eq_set_int @ U2 @ T3 )
% 3.29/3.53              & ( inj_on_int_nat @ F @ U2 )
% 3.29/3.53              & ( S5
% 3.29/3.53                = ( image_int_nat @ F @ U2 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % subset_image_inj
% 3.29/3.53  thf(fact_3094_subset__image__inj,axiom,
% 3.29/3.53      ! [S5: set_int,F: int > int,T3: set_int] :
% 3.29/3.53        ( ( ord_less_eq_set_int @ S5 @ ( image_int_int @ F @ T3 ) )
% 3.29/3.53        = ( ? [U2: set_int] :
% 3.29/3.53              ( ( ord_less_eq_set_int @ U2 @ T3 )
% 3.29/3.53              & ( inj_on_int_int @ F @ U2 )
% 3.29/3.53              & ( S5
% 3.29/3.53                = ( image_int_int @ F @ U2 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % subset_image_inj
% 3.29/3.53  thf(fact_3095_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: product_unit > product_unit,A4: set_Product_unit,X2: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( inj_on8151373323710067377t_unit @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_Product_unit @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_Product_unit @ X2 @ B5 )
% 3.29/3.53              = ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: product_unit,A8: set_Product_unit] :
% 3.29/3.53                  ( ~ ( member_Product_unit @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_Product_unit @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_405062704495631173t_unit @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3096_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_o,X2: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( inj_on4268752236855399398t_unit @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_Product_unit @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_Product_unit @ X2 @ B5 )
% 3.29/3.53              = ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: $o,A8: set_o] :
% 3.29/3.53                  ( ~ ( member_o @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_o @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_o_Product_unit @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3097_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,X2: rat,B5: set_rat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_rat @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_rat @ X2 @ B5 )
% 3.29/3.53              = ( image_nat_rat @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: nat,A8: set_nat] :
% 3.29/3.53                  ( ~ ( member_nat @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_nat @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_nat_rat @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3098_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: set_nat,X2: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( inj_on7061601236592826506t_unit @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_Product_unit @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_Product_unit @ X2 @ B5 )
% 3.29/3.53              = ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: nat,A8: set_nat] :
% 3.29/3.53                  ( ~ ( member_nat @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_nat @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_8730104196221521654t_unit @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3099_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: int > product_unit,A4: set_int,X2: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( inj_on4178023183795006766t_unit @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_Product_unit @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_Product_unit @ X2 @ B5 )
% 3.29/3.53              = ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: int,A8: set_int] :
% 3.29/3.53                  ( ~ ( member_int @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_int @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_5846526143423701914t_unit @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3100_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: product_unit > $o,A4: set_Product_unit,X2: $o,B5: set_o] :
% 3.29/3.53        ( ( inj_on8854722734121536060unit_o @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_o @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_o @ X2 @ B5 )
% 3.29/3.53              = ( image_Product_unit_o @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: product_unit,A8: set_Product_unit] :
% 3.29/3.53                  ( ~ ( member_Product_unit @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_Product_unit @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_Product_unit_o @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3101_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: $o > $o,A4: set_o,X2: $o,B5: set_o] :
% 3.29/3.53        ( ( inj_on_o_o @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_o @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_o @ X2 @ B5 )
% 3.29/3.53              = ( image_o_o @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: $o,A8: set_o] :
% 3.29/3.53                  ( ~ ( member_o @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_o @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_o_o @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3102_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: nat > $o,A4: set_nat,X2: $o,B5: set_o] :
% 3.29/3.53        ( ( inj_on_nat_o @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_o @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_o @ X2 @ B5 )
% 3.29/3.53              = ( image_nat_o @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: nat,A8: set_nat] :
% 3.29/3.53                  ( ~ ( member_nat @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_nat @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_nat_o @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3103_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: int > $o,A4: set_int,X2: $o,B5: set_o] :
% 3.29/3.53        ( ( inj_on_int_o @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_o @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_o @ X2 @ B5 )
% 3.29/3.53              = ( image_int_o @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: int,A8: set_int] :
% 3.29/3.53                  ( ~ ( member_int @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_int @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_int_o @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3104_inj__img__insertE,axiom,
% 3.29/3.53      ! [F: product_unit > nat,A4: set_Product_unit,X2: nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on8430439091780834860it_nat @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_nat @ X2 @ B5 )
% 3.29/3.53         => ( ( ( insert_nat @ X2 @ B5 )
% 3.29/3.53              = ( image_875570014554754200it_nat @ F @ A4 ) )
% 3.29/3.53           => ~ ! [X8: product_unit,A8: set_Product_unit] :
% 3.29/3.53                  ( ~ ( member_Product_unit @ X8 @ A8 )
% 3.29/3.53                 => ( ( A4
% 3.29/3.53                      = ( insert_Product_unit @ X8 @ A8 ) )
% 3.29/3.53                   => ( ( X2
% 3.29/3.53                        = ( F @ X8 ) )
% 3.29/3.53                     => ( B5
% 3.29/3.53                       != ( image_875570014554754200it_nat @ F @ A8 ) ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_img_insertE
% 3.29/3.53  thf(fact_3105_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: $o > $o,A: $o,A4: set_o] :
% 3.29/3.53        ( ( inj_on_o_o @ F @ top_top_set_o )
% 3.29/3.53       => ( ( member_o @ ( F @ A ) @ ( image_o_o @ F @ A4 ) )
% 3.29/3.53          = ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3106_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: $o > nat,A: $o,A4: set_o] :
% 3.29/3.53        ( ( inj_on_o_nat @ F @ top_top_set_o )
% 3.29/3.53       => ( ( member_nat @ ( F @ A ) @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53          = ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3107_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: $o > int,A: $o,A4: set_o] :
% 3.29/3.53        ( ( inj_on_o_int @ F @ top_top_set_o )
% 3.29/3.53       => ( ( member_int @ ( F @ A ) @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53          = ( member_o @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3108_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: char > $o,A: char,A4: set_char] :
% 3.29/3.53        ( ( inj_on_char_o @ F @ top_top_set_char )
% 3.29/3.53       => ( ( member_o @ ( F @ A ) @ ( image_char_o @ F @ A4 ) )
% 3.29/3.53          = ( member_char @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3109_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: char > nat,A: char,A4: set_char] :
% 3.29/3.53        ( ( inj_on_char_nat @ F @ top_top_set_char )
% 3.29/3.53       => ( ( member_nat @ ( F @ A ) @ ( image_char_nat @ F @ A4 ) )
% 3.29/3.53          = ( member_char @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3110_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: char > int,A: char,A4: set_char] :
% 3.29/3.53        ( ( inj_on_char_int @ F @ top_top_set_char )
% 3.29/3.53       => ( ( member_int @ ( F @ A ) @ ( image_char_int @ F @ A4 ) )
% 3.29/3.53          = ( member_char @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3111_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: rat > $o,A: rat,A4: set_rat] :
% 3.29/3.53        ( ( inj_on_rat_o @ F @ top_top_set_rat )
% 3.29/3.53       => ( ( member_o @ ( F @ A ) @ ( image_rat_o @ F @ A4 ) )
% 3.29/3.53          = ( member_rat @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3112_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: rat > nat,A: rat,A4: set_rat] :
% 3.29/3.53        ( ( inj_on_rat_nat @ F @ top_top_set_rat )
% 3.29/3.53       => ( ( member_nat @ ( F @ A ) @ ( image_rat_nat @ F @ A4 ) )
% 3.29/3.53          = ( member_rat @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3113_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: rat > int,A: rat,A4: set_rat] :
% 3.29/3.53        ( ( inj_on_rat_int @ F @ top_top_set_rat )
% 3.29/3.53       => ( ( member_int @ ( F @ A ) @ ( image_rat_int @ F @ A4 ) )
% 3.29/3.53          = ( member_rat @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3114_inj__image__mem__iff,axiom,
% 3.29/3.53      ! [F: nat > rat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( member_rat @ ( F @ A ) @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.53          = ( member_nat @ A @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_mem_iff
% 3.29/3.53  thf(fact_3115_inj__image__eq__iff,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( ( image_nat_rat @ F @ A4 )
% 3.29/3.53            = ( image_nat_rat @ F @ B5 ) )
% 3.29/3.53          = ( A4 = B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_eq_iff
% 3.29/3.53  thf(fact_3116_inj__image__eq__iff,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( ( image_nat_nat @ F @ A4 )
% 3.29/3.53            = ( image_nat_nat @ F @ B5 ) )
% 3.29/3.53          = ( A4 = B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_eq_iff
% 3.29/3.53  thf(fact_3117_inj__image__eq__iff,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( ( image_nat_int @ F @ A4 )
% 3.29/3.53            = ( image_nat_int @ F @ B5 ) )
% 3.29/3.53          = ( A4 = B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_eq_iff
% 3.29/3.53  thf(fact_3118_inj__image__eq__iff,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.53       => ( ( ( image_int_nat @ F @ A4 )
% 3.29/3.53            = ( image_int_nat @ F @ B5 ) )
% 3.29/3.53          = ( A4 = B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_eq_iff
% 3.29/3.53  thf(fact_3119_inj__image__eq__iff,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.53       => ( ( ( image_int_int @ F @ A4 )
% 3.29/3.53            = ( image_int_int @ F @ B5 ) )
% 3.29/3.53          = ( A4 = B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_eq_iff
% 3.29/3.53  thf(fact_3120_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: char > $o,B: $o] :
% 3.29/3.53        ( ( inj_on_char_o @ F @ top_top_set_char )
% 3.29/3.53       => ( ( member_o @ B @ ( image_char_o @ F @ top_top_set_char ) )
% 3.29/3.53          = ( ? [X4: char] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: char] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3121_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: char > nat,B: nat] :
% 3.29/3.53        ( ( inj_on_char_nat @ F @ top_top_set_char )
% 3.29/3.53       => ( ( member_nat @ B @ ( image_char_nat @ F @ top_top_set_char ) )
% 3.29/3.53          = ( ? [X4: char] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: char] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3122_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: char > int,B: int] :
% 3.29/3.53        ( ( inj_on_char_int @ F @ top_top_set_char )
% 3.29/3.53       => ( ( member_int @ B @ ( image_char_int @ F @ top_top_set_char ) )
% 3.29/3.53          = ( ? [X4: char] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: char] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3123_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: rat > $o,B: $o] :
% 3.29/3.53        ( ( inj_on_rat_o @ F @ top_top_set_rat )
% 3.29/3.53       => ( ( member_o @ B @ ( image_rat_o @ F @ top_top_set_rat ) )
% 3.29/3.53          = ( ? [X4: rat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: rat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3124_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: rat > nat,B: nat] :
% 3.29/3.53        ( ( inj_on_rat_nat @ F @ top_top_set_rat )
% 3.29/3.53       => ( ( member_nat @ B @ ( image_rat_nat @ F @ top_top_set_rat ) )
% 3.29/3.53          = ( ? [X4: rat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: rat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3125_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: rat > int,B: int] :
% 3.29/3.53        ( ( inj_on_rat_int @ F @ top_top_set_rat )
% 3.29/3.53       => ( ( member_int @ B @ ( image_rat_int @ F @ top_top_set_rat ) )
% 3.29/3.53          = ( ? [X4: rat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: rat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3126_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: nat > rat,B: rat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( member_rat @ B @ ( image_nat_rat @ F @ top_top_set_nat ) )
% 3.29/3.53          = ( ? [X4: nat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: nat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3127_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: nat > $o,B: $o] :
% 3.29/3.53        ( ( inj_on_nat_o @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( member_o @ B @ ( image_nat_o @ F @ top_top_set_nat ) )
% 3.29/3.53          = ( ? [X4: nat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: nat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3128_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: nat > nat,B: nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( member_nat @ B @ ( image_nat_nat @ F @ top_top_set_nat ) )
% 3.29/3.53          = ( ? [X4: nat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: nat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3129_range__ex1__eq,axiom,
% 3.29/3.53      ! [F: nat > int,B: int] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( member_int @ B @ ( image_nat_int @ F @ top_top_set_nat ) )
% 3.29/3.53          = ( ? [X4: nat] :
% 3.29/3.53                ( ( B
% 3.29/3.53                  = ( F @ X4 ) )
% 3.29/3.53                & ! [Y5: nat] :
% 3.29/3.53                    ( ( B
% 3.29/3.53                      = ( F @ Y5 ) )
% 3.29/3.53                   => ( Y5 = X4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % range_ex1_eq
% 3.29/3.53  thf(fact_3130_comp__inj__on,axiom,
% 3.29/3.53      ! [F: nat > $o,A4: set_nat,G: $o > $o] :
% 3.29/3.53        ( ( inj_on_nat_o @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_o_o @ G @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_nat_o @ ( comp_o_o_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on
% 3.29/3.53  thf(fact_3131_comp__inj__on,axiom,
% 3.29/3.53      ! [F: code_integer > code_integer > code_integer,A4: set_Code_integer,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.53        ( ( inj_on108595395805848489nteger @ F @ A4 )
% 3.29/3.53       => ( ( inj_on3998011822705705585nteger @ G @ ( image_2177946750938214461nteger @ F @ A4 ) )
% 3.29/3.53         => ( inj_on7031512951821619701nteger @ ( comp_C8797469213163452608nteger @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on
% 3.29/3.53  thf(fact_3132_comp__inj__on,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,G: nat > nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_nat_nat @ G @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on
% 3.29/3.53  thf(fact_3133_comp__inj__on,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,G: nat > num] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_nat_num @ G @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_int_num @ ( comp_nat_num_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on
% 3.29/3.53  thf(fact_3134_comp__inj__on,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,G: int > nat] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_int_nat @ G @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_int_nat @ ( comp_int_nat_int @ G @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on
% 3.29/3.53  thf(fact_3135_inj__on__imageI,axiom,
% 3.29/3.53      ! [G: $o > $o,F: nat > $o,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_o @ ( comp_o_o_nat @ G @ F ) @ A4 )
% 3.29/3.53       => ( inj_on_o_o @ G @ ( image_nat_o @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_imageI
% 3.29/3.53  thf(fact_3136_inj__on__imageI,axiom,
% 3.29/3.53      ! [G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,F: code_integer > code_integer > code_integer,A4: set_Code_integer] :
% 3.29/3.53        ( ( inj_on7031512951821619701nteger @ ( comp_C8797469213163452608nteger @ G @ F ) @ A4 )
% 3.29/3.53       => ( inj_on3998011822705705585nteger @ G @ ( image_2177946750938214461nteger @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_imageI
% 3.29/3.53  thf(fact_3137_inj__on__imageI,axiom,
% 3.29/3.53      ! [G: nat > nat,F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ A4 )
% 3.29/3.53       => ( inj_on_nat_nat @ G @ ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_imageI
% 3.29/3.53  thf(fact_3138_inj__on__imageI,axiom,
% 3.29/3.53      ! [G: nat > num,F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_num @ ( comp_nat_num_int @ G @ F ) @ A4 )
% 3.29/3.53       => ( inj_on_nat_num @ G @ ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_imageI
% 3.29/3.53  thf(fact_3139_inj__on__imageI,axiom,
% 3.29/3.53      ! [G: int > nat,F: int > int,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ ( comp_int_nat_int @ G @ F ) @ A4 )
% 3.29/3.53       => ( inj_on_int_nat @ G @ ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_imageI
% 3.29/3.53  thf(fact_3140_comp__inj__on__iff,axiom,
% 3.29/3.53      ! [F: nat > $o,A4: set_nat,F3: $o > $o] :
% 3.29/3.53        ( ( inj_on_nat_o @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_o_o @ F3 @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.53          = ( inj_on_nat_o @ ( comp_o_o_nat @ F3 @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on_iff
% 3.29/3.53  thf(fact_3141_comp__inj__on__iff,axiom,
% 3.29/3.53      ! [F: code_integer > code_integer > code_integer,A4: set_Code_integer,F3: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.53        ( ( inj_on108595395805848489nteger @ F @ A4 )
% 3.29/3.53       => ( ( inj_on3998011822705705585nteger @ F3 @ ( image_2177946750938214461nteger @ F @ A4 ) )
% 3.29/3.53          = ( inj_on7031512951821619701nteger @ ( comp_C8797469213163452608nteger @ F3 @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on_iff
% 3.29/3.53  thf(fact_3142_comp__inj__on__iff,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,F3: nat > nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_nat_nat @ F3 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53          = ( inj_on_nat_nat @ ( comp_nat_nat_nat @ F3 @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on_iff
% 3.29/3.53  thf(fact_3143_comp__inj__on__iff,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,F3: nat > num] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_nat_num @ F3 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53          = ( inj_on_int_num @ ( comp_nat_num_int @ F3 @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on_iff
% 3.29/3.53  thf(fact_3144_comp__inj__on__iff,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,F3: int > nat] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.53       => ( ( inj_on_int_nat @ F3 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53          = ( inj_on_int_nat @ ( comp_int_nat_int @ F3 @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % comp_inj_on_iff
% 3.29/3.53  thf(fact_3145_inj__compose,axiom,
% 3.29/3.53      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer] :
% 3.29/3.53        ( ( inj_on3998011822705705585nteger @ F @ top_to3804862627464599871nteger )
% 3.29/3.53       => ( ( inj_on108595395805848489nteger @ G @ top_to4645266643341252675nteger )
% 3.29/3.53         => ( inj_on7031512951821619701nteger @ ( comp_C8797469213163452608nteger @ F @ G ) @ top_to4645266643341252675nteger ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_compose
% 3.29/3.53  thf(fact_3146_inj__compose,axiom,
% 3.29/3.53      ! [F: $o > $o,G: nat > $o] :
% 3.29/3.53        ( ( inj_on_o_o @ F @ top_top_set_o )
% 3.29/3.53       => ( ( inj_on_nat_o @ G @ top_top_set_nat )
% 3.29/3.53         => ( inj_on_nat_o @ ( comp_o_o_nat @ F @ G ) @ top_top_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_compose
% 3.29/3.53  thf(fact_3147_inj__compose,axiom,
% 3.29/3.53      ! [F: nat > nat,G: nat > nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( inj_on_nat_nat @ G @ top_top_set_nat )
% 3.29/3.53         => ( inj_on_nat_nat @ ( comp_nat_nat_nat @ F @ G ) @ top_top_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_compose
% 3.29/3.53  thf(fact_3148_inj__compose,axiom,
% 3.29/3.53      ! [F: nat > num,G: int > nat] :
% 3.29/3.53        ( ( inj_on_nat_num @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( inj_on_int_nat @ G @ top_top_set_int )
% 3.29/3.53         => ( inj_on_int_num @ ( comp_nat_num_int @ F @ G ) @ top_top_set_int ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_compose
% 3.29/3.53  thf(fact_3149_inj__compose,axiom,
% 3.29/3.53      ! [F: int > nat,G: int > int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.53       => ( ( inj_on_int_int @ G @ top_top_set_int )
% 3.29/3.53         => ( inj_on_int_nat @ ( comp_int_nat_int @ F @ G ) @ top_top_set_int ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_compose
% 3.29/3.53  thf(fact_3150_inf__Sup,axiom,
% 3.29/3.53      ! [A: set_Pr1261947904930325089at_nat,B5: set_se7855581050983116737at_nat] :
% 3.29/3.53        ( ( inf_in2572325071724192079at_nat @ A @ ( comple5685304695842803022at_nat @ B5 ) )
% 3.29/3.53        = ( comple5685304695842803022at_nat @ ( image_3684629450409544005at_nat @ ( inf_in2572325071724192079at_nat @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Sup
% 3.29/3.53  thf(fact_3151_inf__Sup,axiom,
% 3.29/3.53      ! [A: set_nat,B5: set_set_nat] :
% 3.29/3.53        ( ( inf_inf_set_nat @ A @ ( comple7399068483239264473et_nat @ B5 ) )
% 3.29/3.53        = ( comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ ( inf_inf_set_nat @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Sup
% 3.29/3.53  thf(fact_3152_inf__Sup,axiom,
% 3.29/3.53      ! [A: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( inf_inf_Product_unit @ A @ ( comple4687483117567863418t_unit @ B5 ) )
% 3.29/3.53        = ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ ( inf_inf_Product_unit @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Sup
% 3.29/3.53  thf(fact_3153_sup__Inf,axiom,
% 3.29/3.53      ! [A: set_Pr8693737435421807431at_nat,B5: set_se6425085446898223655at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ A @ ( comple6332534001959699150at_nat @ B5 ) )
% 3.29/3.53        = ( comple6332534001959699150at_nat @ ( image_1013614488123988933at_nat @ ( sup_su718114333110466843at_nat @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Inf
% 3.29/3.53  thf(fact_3154_sup__Inf,axiom,
% 3.29/3.53      ! [A: set_Pr4329608150637261639at_nat,B5: set_se5479201105039950375at_nat] :
% 3.29/3.53        ( ( sup_su5525570899277871387at_nat @ A @ ( comple6751905152567503566at_nat @ B5 ) )
% 3.29/3.53        = ( comple6751905152567503566at_nat @ ( image_4303274092540115909at_nat @ ( sup_su5525570899277871387at_nat @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Inf
% 3.29/3.53  thf(fact_3155_sup__Inf,axiom,
% 3.29/3.53      ! [A: set_nat,B5: set_set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ A @ ( comple7806235888213564991et_nat @ B5 ) )
% 3.29/3.53        = ( comple7806235888213564991et_nat @ ( image_7916887816326733075et_nat @ ( sup_sup_set_nat @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Inf
% 3.29/3.53  thf(fact_3156_sup__Inf,axiom,
% 3.29/3.53      ! [A: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( sup_sup_Product_unit @ A @ ( comple2584293577114468500t_unit @ B5 ) )
% 3.29/3.53        = ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ ( sup_sup_Product_unit @ A ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Inf
% 3.29/3.53  thf(fact_3157_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,M: nat,F: $o > nat] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1738341127787009408ow_nat @ ( image_o_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3158_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_nat,M: nat,F: nat > nat] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3159_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_int,M: nat,F: int > nat] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3160_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,M: int,F: $o > int] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3161_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_nat,M: int,F: nat > int] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3162_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_int,M: int,F: int > int] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3163_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,M: rat,F: $o > rat] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1103211067700513672ow_rat @ ( image_o_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3164_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_nat,M: rat,F: nat > rat] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1103211067700513672ow_rat @ ( image_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3165_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_int,M: rat,F: int > rat] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1103211067700513672ow_rat @ ( image_int_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3166_bdd__below_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,M: code_integer,F: $o > code_integer] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_le3102999989581377725nteger @ M @ ( F @ X ) ) )
% 3.29/3.53       => ( condit4933233095834890765nteger @ ( image_o_Code_integer @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below.I2
% 3.29/3.53  thf(fact_3167_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_o,M3: nat,F: $o > nat] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1738341127787009408ow_nat @ ( image_o_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3168_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_nat,M3: nat,F: nat > nat] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3169_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_int,M3: nat,F: int > nat] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3170_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_o,M3: int,F: $o > int] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3171_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_nat,M3: int,F: nat > int] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3172_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_int,M3: int,F: int > int] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3173_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_o,M3: rat,F: $o > rat] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1103211067700513672ow_rat @ ( image_o_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3174_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_nat,M3: rat,F: nat > rat] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1103211067700513672ow_rat @ ( image_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3175_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_int,M3: rat,F: int > rat] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit1103211067700513672ow_rat @ ( image_int_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3176_bdd__belowI2,axiom,
% 3.29/3.53      ! [A4: set_o,M3: code_integer,F: $o > code_integer] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_le3102999989581377725nteger @ M3 @ ( F @ X ) ) )
% 3.29/3.53       => ( condit4933233095834890765nteger @ ( image_o_Code_integer @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_belowI2
% 3.29/3.53  thf(fact_3177_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > nat,M: nat] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit2214826472909112428ve_nat @ ( image_o_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3178_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > nat,M: nat] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3179_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > nat,M: nat] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3180_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,M: int] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3181_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,M: int] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3182_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > int,M: int] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3183_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > rat,M: rat] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit1579696412822616692ve_rat @ ( image_o_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3184_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > rat,M: rat] :
% 3.29/3.53        ( ! [X: nat] :
% 3.29/3.53            ( ( member_nat @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit1579696412822616692ve_rat @ ( image_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3185_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > rat,M: rat] :
% 3.29/3.53        ( ! [X: int] :
% 3.29/3.53            ( ( member_int @ X @ A4 )
% 3.29/3.53           => ( ord_less_eq_rat @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit1579696412822616692ve_rat @ ( image_int_rat @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3186_bdd__above_OI2,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > code_integer,M: code_integer] :
% 3.29/3.53        ( ! [X: $o] :
% 3.29/3.53            ( ( member_o @ X @ A4 )
% 3.29/3.53           => ( ord_le3102999989581377725nteger @ ( F @ X ) @ M ) )
% 3.29/3.53       => ( condit1118808407379112185nteger @ ( image_o_Code_integer @ F @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above.I2
% 3.29/3.53  thf(fact_3187_image__Int__subset,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,B5: set_nat] : ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) ) @ ( inf_inf_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_Int_subset
% 3.29/3.53  thf(fact_3188_image__Int__subset,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,B5: set_nat] : ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ ( inf_inf_set_nat @ A4 @ B5 ) ) @ ( inf_inf_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_Int_subset
% 3.29/3.53  thf(fact_3189_image__Int__subset,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,B5: set_nat] : ( ord_less_eq_set_int @ ( image_nat_int @ F @ ( inf_inf_set_nat @ A4 @ B5 ) ) @ ( inf_inf_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_Int_subset
% 3.29/3.53  thf(fact_3190_image__Int__subset,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,B5: set_int] : ( ord_less_eq_set_nat @ ( image_int_nat @ F @ ( inf_inf_set_int @ A4 @ B5 ) ) @ ( inf_inf_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_Int_subset
% 3.29/3.53  thf(fact_3191_image__Int__subset,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,B5: set_int] : ( ord_less_eq_set_int @ ( image_int_int @ F @ ( inf_inf_set_int @ A4 @ B5 ) ) @ ( inf_inf_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_Int_subset
% 3.29/3.53  thf(fact_3192_image__Int__subset,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] : ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F @ ( inf_in2572325071724192079at_nat @ A4 @ B5 ) ) @ ( inf_in2572325071724192079at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) @ ( image_5168914502847457605at_nat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_Int_subset
% 3.29/3.53  thf(fact_3193_swap__inj__on,axiom,
% 3.29/3.53      ! [A4: set_Pr7459493094073627847at_nat] :
% 3.29/3.53        ( inj_on3942866938762682161at_nat
% 3.29/3.53        @ ( produc5456455677105495163at_nat
% 3.29/3.53          @ ^ [I2: set_Pr4329608150637261639at_nat,J: set_Pr4329608150637261639at_nat] : ( produc9060074326276436823at_nat @ J @ I2 ) )
% 3.29/3.53        @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % swap_inj_on
% 3.29/3.53  thf(fact_3194_swap__inj__on,axiom,
% 3.29/3.53      ! [A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( inj_on8430303779476321073at_nat
% 3.29/3.53        @ ( produc7548845685434208379at_nat
% 3.29/3.53          @ ^ [I2: set_Pr1261947904930325089at_nat,J: set_Pr1261947904930325089at_nat] : ( produc2922128104949294807at_nat @ J @ I2 ) )
% 3.29/3.53        @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % swap_inj_on
% 3.29/3.53  thf(fact_3195_swap__inj__on,axiom,
% 3.29/3.53      ! [A4: set_Pr3280342998896498603um_nat] :
% 3.29/3.53        ( inj_on2339680571444523825at_num
% 3.29/3.53        @ ( produc5219324331026901427at_num
% 3.29/3.53          @ ^ [I2: num,J: nat] : ( product_Pair_nat_num @ J @ I2 ) )
% 3.29/3.53        @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % swap_inj_on
% 3.29/3.53  thf(fact_3196_swap__inj__on,axiom,
% 3.29/3.53      ! [A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( inj_on8969904277767023793at_nat
% 3.29/3.53        @ ( produc2626176000494625587at_nat
% 3.29/3.53          @ ^ [I2: nat,J: nat] : ( product_Pair_nat_nat @ J @ I2 ) )
% 3.29/3.53        @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % swap_inj_on
% 3.29/3.53  thf(fact_3197_swap__inj__on,axiom,
% 3.29/3.53      ! [A4: set_Pr958786334691620121nt_int] :
% 3.29/3.53        ( inj_on6454360653267994289nt_int
% 3.29/3.53        @ ( produc4245557441103728435nt_int
% 3.29/3.53          @ ^ [I2: int,J: int] : ( product_Pair_int_int @ J @ I2 ) )
% 3.29/3.53        @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % swap_inj_on
% 3.29/3.53  thf(fact_3198_SUP__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > product_unit] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_Product_unit @ ( A4 @ K ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3199_SUP__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > product_unit] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_Product_unit @ ( A4 @ K ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3200_SUP__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > product_unit] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_Product_unit @ ( A4 @ K ) @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3201_SUP__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3202_SUP__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3203_SUP__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3204_SUP__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > product_unit] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_Product_unit @ ( A4 @ K ) @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3205_SUP__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3206_SUP__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( sup_su718114333110466843at_nat @ ( A4 @ K ) @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3207_SUP__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_su718114333110466843at_nat @ ( A4 @ K ) @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_absorb
% 3.29/3.53  thf(fact_3208_Sup__inf,axiom,
% 3.29/3.53      ! [B5: set_se7855581050983116737at_nat,A: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( inf_in2572325071724192079at_nat @ ( comple5685304695842803022at_nat @ B5 ) @ A )
% 3.29/3.53        = ( comple5685304695842803022at_nat
% 3.29/3.53          @ ( image_3684629450409544005at_nat
% 3.29/3.53            @ ^ [B4: set_Pr1261947904930325089at_nat] : ( inf_in2572325071724192079at_nat @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Sup_inf
% 3.29/3.53  thf(fact_3209_Sup__inf,axiom,
% 3.29/3.53      ! [B5: set_set_nat,A: set_nat] :
% 3.29/3.53        ( ( inf_inf_set_nat @ ( comple7399068483239264473et_nat @ B5 ) @ A )
% 3.29/3.53        = ( comple7399068483239264473et_nat
% 3.29/3.53          @ ( image_7916887816326733075et_nat
% 3.29/3.53            @ ^ [B4: set_nat] : ( inf_inf_set_nat @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Sup_inf
% 3.29/3.53  thf(fact_3210_Sup__inf,axiom,
% 3.29/3.53      ! [B5: set_Product_unit,A: product_unit] :
% 3.29/3.53        ( ( inf_inf_Product_unit @ ( comple4687483117567863418t_unit @ B5 ) @ A )
% 3.29/3.53        = ( comple4687483117567863418t_unit
% 3.29/3.53          @ ( image_405062704495631173t_unit
% 3.29/3.53            @ ^ [B4: product_unit] : ( inf_inf_Product_unit @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Sup_inf
% 3.29/3.53  thf(fact_3211_Inf__sup,axiom,
% 3.29/3.53      ! [B5: set_se6425085446898223655at_nat,A: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ ( comple6332534001959699150at_nat @ B5 ) @ A )
% 3.29/3.53        = ( comple6332534001959699150at_nat
% 3.29/3.53          @ ( image_1013614488123988933at_nat
% 3.29/3.53            @ ^ [B4: set_Pr8693737435421807431at_nat] : ( sup_su718114333110466843at_nat @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Inf_sup
% 3.29/3.53  thf(fact_3212_Inf__sup,axiom,
% 3.29/3.53      ! [B5: set_se5479201105039950375at_nat,A: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( sup_su5525570899277871387at_nat @ ( comple6751905152567503566at_nat @ B5 ) @ A )
% 3.29/3.53        = ( comple6751905152567503566at_nat
% 3.29/3.53          @ ( image_4303274092540115909at_nat
% 3.29/3.53            @ ^ [B4: set_Pr4329608150637261639at_nat] : ( sup_su5525570899277871387at_nat @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Inf_sup
% 3.29/3.53  thf(fact_3213_Inf__sup,axiom,
% 3.29/3.53      ! [B5: set_set_nat,A: set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ ( comple7806235888213564991et_nat @ B5 ) @ A )
% 3.29/3.53        = ( comple7806235888213564991et_nat
% 3.29/3.53          @ ( image_7916887816326733075et_nat
% 3.29/3.53            @ ^ [B4: set_nat] : ( sup_sup_set_nat @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Inf_sup
% 3.29/3.53  thf(fact_3214_Inf__sup,axiom,
% 3.29/3.53      ! [B5: set_Product_unit,A: product_unit] :
% 3.29/3.53        ( ( sup_sup_Product_unit @ ( comple2584293577114468500t_unit @ B5 ) @ A )
% 3.29/3.53        = ( comple2584293577114468500t_unit
% 3.29/3.53          @ ( image_405062704495631173t_unit
% 3.29/3.53            @ ^ [B4: product_unit] : ( sup_sup_Product_unit @ B4 @ A )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Inf_sup
% 3.29/3.53  thf(fact_3215_INF__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > product_unit] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_Product_unit @ ( A4 @ K ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3216_INF__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > product_unit] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_Product_unit @ ( A4 @ K ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3217_INF__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > product_unit] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_Product_unit @ ( A4 @ K ) @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3218_INF__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3219_INF__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3220_INF__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3221_INF__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > product_unit] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_Product_unit @ ( A4 @ K ) @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3222_INF__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3223_INF__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3224_INF__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_8938366415781434990at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_8938366415781434990at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_absorb
% 3.29/3.53  thf(fact_3225_translation__subtract__Int,axiom,
% 3.29/3.53      ! [A: int,S2: set_int,T2: set_int] :
% 3.29/3.53        ( ( image_int_int
% 3.29/3.53          @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.53          @ ( inf_inf_set_int @ S2 @ T2 ) )
% 3.29/3.53        = ( inf_inf_set_int
% 3.29/3.53          @ ( image_int_int
% 3.29/3.53            @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.53            @ S2 )
% 3.29/3.53          @ ( image_int_int
% 3.29/3.53            @ ^ [X4: int] : ( minus_minus_int @ X4 @ A )
% 3.29/3.53            @ T2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % translation_subtract_Int
% 3.29/3.53  thf(fact_3226_translation__subtract__Int,axiom,
% 3.29/3.53      ! [A: rat,S2: set_rat,T2: set_rat] :
% 3.29/3.53        ( ( image_rat_rat
% 3.29/3.53          @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.53          @ ( inf_inf_set_rat @ S2 @ T2 ) )
% 3.29/3.53        = ( inf_inf_set_rat
% 3.29/3.53          @ ( image_rat_rat
% 3.29/3.53            @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.53            @ S2 )
% 3.29/3.53          @ ( image_rat_rat
% 3.29/3.53            @ ^ [X4: rat] : ( minus_minus_rat @ X4 @ A )
% 3.29/3.53            @ T2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % translation_subtract_Int
% 3.29/3.53  thf(fact_3227_translation__subtract__Int,axiom,
% 3.29/3.53      ! [A: code_integer,S2: set_Code_integer,T2: set_Code_integer] :
% 3.29/3.53        ( ( image_4470545334726330049nteger
% 3.29/3.53          @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.53          @ ( inf_in1364745209274528805nteger @ S2 @ T2 ) )
% 3.29/3.53        = ( inf_in1364745209274528805nteger
% 3.29/3.53          @ ( image_4470545334726330049nteger
% 3.29/3.53            @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.53            @ S2 )
% 3.29/3.53          @ ( image_4470545334726330049nteger
% 3.29/3.53            @ ^ [X4: code_integer] : ( minus_8373710615458151222nteger @ X4 @ A )
% 3.29/3.53            @ T2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % translation_subtract_Int
% 3.29/3.53  thf(fact_3228_UN__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3229_UN__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3230_UN__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3231_UN__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_sup_set_nat @ ( A4 @ K ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3232_UN__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( sup_su718114333110466843at_nat @ ( A4 @ K ) @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3233_UN__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_su718114333110466843at_nat @ ( A4 @ K ) @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3234_UN__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( sup_su718114333110466843at_nat @ ( A4 @ K ) @ ( comple2748534634209756852at_nat @ ( image_525487068563185620at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2748534634209756852at_nat @ ( image_525487068563185620at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3235_UN__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_su718114333110466843at_nat @ ( A4 @ K ) @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3236_UN__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( sup_su5525570899277871387at_nat @ ( A4 @ K ) @ ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3237_UN__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( sup_su5525570899277871387at_nat @ ( A4 @ K ) @ ( comple4364388969068068532at_nat @ ( image_1087905878993176368at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple4364388969068068532at_nat @ ( image_1087905878993176368at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_absorb
% 3.29/3.53  thf(fact_3238_INT__absorb,axiom,
% 3.29/3.53      ! [K: produc3843707927480180839at_nat,I3: set_Pr4329608150637261639at_nat,A4: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member8757157785044589968at_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3239_INT__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3240_INT__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3241_INT__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3242_INT__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( inf_in2572325071724192079at_nat @ ( A4 @ K ) @ ( comple1930127330929219688at_nat @ ( image_8938366415781434990at_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple1930127330929219688at_nat @ ( image_8938366415781434990at_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3243_INT__absorb,axiom,
% 3.29/3.53      ! [K: produc3843707927480180839at_nat,I3: set_Pr4329608150637261639at_nat,A4: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.53        ( ( member8757157785044589968at_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3244_INT__absorb,axiom,
% 3.29/3.53      ! [K: product_prod_nat_nat,I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3245_INT__absorb,axiom,
% 3.29/3.53      ! [K: $o,I3: set_o,A4: $o > set_nat] :
% 3.29/3.53        ( ( member_o @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3246_INT__absorb,axiom,
% 3.29/3.53      ! [K: nat,I3: set_nat,A4: nat > set_nat] :
% 3.29/3.53        ( ( member_nat @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3247_INT__absorb,axiom,
% 3.29/3.53      ! [K: int,I3: set_int,A4: int > set_nat] :
% 3.29/3.53        ( ( member_int @ K @ I3 )
% 3.29/3.53       => ( ( inf_inf_set_nat @ ( A4 @ K ) @ ( comple7806235888213564991et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) )
% 3.29/3.53          = ( comple7806235888213564991et_nat @ ( image_int_set_nat @ A4 @ I3 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_absorb
% 3.29/3.53  thf(fact_3248_Int__Union2,axiom,
% 3.29/3.53      ! [B5: set_se7855581050983116737at_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( inf_in2572325071724192079at_nat @ ( comple5685304695842803022at_nat @ B5 ) @ A4 )
% 3.29/3.53        = ( comple5685304695842803022at_nat
% 3.29/3.53          @ ( image_3684629450409544005at_nat
% 3.29/3.53            @ ^ [C5: set_Pr1261947904930325089at_nat] : ( inf_in2572325071724192079at_nat @ C5 @ A4 )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Union2
% 3.29/3.53  thf(fact_3249_Int__Union2,axiom,
% 3.29/3.53      ! [B5: set_set_nat,A4: set_nat] :
% 3.29/3.53        ( ( inf_inf_set_nat @ ( comple7399068483239264473et_nat @ B5 ) @ A4 )
% 3.29/3.53        = ( comple7399068483239264473et_nat
% 3.29/3.53          @ ( image_7916887816326733075et_nat
% 3.29/3.53            @ ^ [C5: set_nat] : ( inf_inf_set_nat @ C5 @ A4 )
% 3.29/3.53            @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Union2
% 3.29/3.53  thf(fact_3250_Int__Union,axiom,
% 3.29/3.53      ! [A4: set_Pr1261947904930325089at_nat,B5: set_se7855581050983116737at_nat] :
% 3.29/3.53        ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple5685304695842803022at_nat @ B5 ) )
% 3.29/3.53        = ( comple5685304695842803022at_nat @ ( image_3684629450409544005at_nat @ ( inf_in2572325071724192079at_nat @ A4 ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Union
% 3.29/3.53  thf(fact_3251_Int__Union,axiom,
% 3.29/3.53      ! [A4: set_nat,B5: set_set_nat] :
% 3.29/3.53        ( ( inf_inf_set_nat @ A4 @ ( comple7399068483239264473et_nat @ B5 ) )
% 3.29/3.53        = ( comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ ( inf_inf_set_nat @ A4 ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Union
% 3.29/3.53  thf(fact_3252_Un__Inter,axiom,
% 3.29/3.53      ! [A4: set_Pr8693737435421807431at_nat,B5: set_se6425085446898223655at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ A4 @ ( comple6332534001959699150at_nat @ B5 ) )
% 3.29/3.53        = ( comple6332534001959699150at_nat @ ( image_1013614488123988933at_nat @ ( sup_su718114333110466843at_nat @ A4 ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Un_Inter
% 3.29/3.53  thf(fact_3253_Un__Inter,axiom,
% 3.29/3.53      ! [A4: set_Pr4329608150637261639at_nat,B5: set_se5479201105039950375at_nat] :
% 3.29/3.53        ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple6751905152567503566at_nat @ B5 ) )
% 3.29/3.53        = ( comple6751905152567503566at_nat @ ( image_4303274092540115909at_nat @ ( sup_su5525570899277871387at_nat @ A4 ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Un_Inter
% 3.29/3.53  thf(fact_3254_Un__Inter,axiom,
% 3.29/3.53      ! [A4: set_nat,B5: set_set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ A4 @ ( comple7806235888213564991et_nat @ B5 ) )
% 3.29/3.53        = ( comple7806235888213564991et_nat @ ( image_7916887816326733075et_nat @ ( sup_sup_set_nat @ A4 ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Un_Inter
% 3.29/3.53  thf(fact_3255_inj__on__iff__surj,axiom,
% 3.29/3.53      ! [A4: set_rat,A7: set_nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_rat )
% 3.29/3.53       => ( ( ? [F2: rat > nat] :
% 3.29/3.53                ( ( inj_on_rat_nat @ F2 @ A4 )
% 3.29/3.53                & ( ord_less_eq_set_nat @ ( image_rat_nat @ F2 @ A4 ) @ A7 ) ) )
% 3.29/3.53          = ( ? [G3: nat > rat] :
% 3.29/3.53                ( ( image_nat_rat @ G3 @ A7 )
% 3.29/3.53                = A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_iff_surj
% 3.29/3.53  thf(fact_3256_inj__on__iff__surj,axiom,
% 3.29/3.53      ! [A4: set_int,A7: set_nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( ? [F2: int > nat] :
% 3.29/3.53                ( ( inj_on_int_nat @ F2 @ A4 )
% 3.29/3.53                & ( ord_less_eq_set_nat @ ( image_int_nat @ F2 @ A4 ) @ A7 ) ) )
% 3.29/3.53          = ( ? [G3: nat > int] :
% 3.29/3.53                ( ( image_nat_int @ G3 @ A7 )
% 3.29/3.53                = A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_iff_surj
% 3.29/3.53  thf(fact_3257_inj__on__iff__surj,axiom,
% 3.29/3.53      ! [A4: set_int,A7: set_int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( ? [F2: int > int] :
% 3.29/3.53                ( ( inj_on_int_int @ F2 @ A4 )
% 3.29/3.53                & ( ord_less_eq_set_int @ ( image_int_int @ F2 @ A4 ) @ A7 ) ) )
% 3.29/3.53          = ( ? [G3: int > int] :
% 3.29/3.53                ( ( image_int_int @ G3 @ A7 )
% 3.29/3.53                = A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_iff_surj
% 3.29/3.53  thf(fact_3258_inj__on__iff__surj,axiom,
% 3.29/3.53      ! [A4: set_nat,A7: set_rat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( ? [F2: nat > rat] :
% 3.29/3.53                ( ( inj_on_nat_rat @ F2 @ A4 )
% 3.29/3.53                & ( ord_less_eq_set_rat @ ( image_nat_rat @ F2 @ A4 ) @ A7 ) ) )
% 3.29/3.53          = ( ? [G3: rat > nat] :
% 3.29/3.53                ( ( image_rat_nat @ G3 @ A7 )
% 3.29/3.53                = A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_iff_surj
% 3.29/3.53  thf(fact_3259_inj__on__iff__surj,axiom,
% 3.29/3.53      ! [A4: set_nat,A7: set_nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( ? [F2: nat > nat] :
% 3.29/3.53                ( ( inj_on_nat_nat @ F2 @ A4 )
% 3.29/3.53                & ( ord_less_eq_set_nat @ ( image_nat_nat @ F2 @ A4 ) @ A7 ) ) )
% 3.29/3.53          = ( ? [G3: nat > nat] :
% 3.29/3.53                ( ( image_nat_nat @ G3 @ A7 )
% 3.29/3.53                = A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_iff_surj
% 3.29/3.53  thf(fact_3260_inj__on__iff__surj,axiom,
% 3.29/3.53      ! [A4: set_nat,A7: set_int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( ? [F2: nat > int] :
% 3.29/3.53                ( ( inj_on_nat_int @ F2 @ A4 )
% 3.29/3.53                & ( ord_less_eq_set_int @ ( image_nat_int @ F2 @ A4 ) @ A7 ) ) )
% 3.29/3.53          = ( ? [G3: int > nat] :
% 3.29/3.53                ( ( image_int_nat @ G3 @ A7 )
% 3.29/3.53                = A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_iff_surj
% 3.29/3.53  thf(fact_3261_Int__Inter__eq_I1_J,axiom,
% 3.29/3.53      ! [B8: set_se7855581050983116737at_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( B8 = bot_bo3083307316010499117at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ B8 ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( B8 != bot_bo3083307316010499117at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ B8 ) )
% 3.29/3.53            = ( comple1930127330929219688at_nat @ ( image_3684629450409544005at_nat @ ( inf_in2572325071724192079at_nat @ A4 ) @ B8 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Inter_eq(1)
% 3.29/3.53  thf(fact_3262_Int__Inter__eq_I1_J,axiom,
% 3.29/3.53      ! [B8: set_set_nat,A4: set_nat] :
% 3.29/3.53        ( ( ( B8 = bot_bot_set_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ B8 ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( B8 != bot_bot_set_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ B8 ) )
% 3.29/3.53            = ( comple7806235888213564991et_nat @ ( image_7916887816326733075et_nat @ ( inf_inf_set_nat @ A4 ) @ B8 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Inter_eq(1)
% 3.29/3.53  thf(fact_3263_Int__Inter__eq_I2_J,axiom,
% 3.29/3.53      ! [B8: set_se7855581050983116737at_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( B8 = bot_bo3083307316010499117at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ B8 ) @ A4 )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( B8 != bot_bo3083307316010499117at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ B8 ) @ A4 )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_3684629450409544005at_nat
% 3.29/3.53                @ ^ [B6: set_Pr1261947904930325089at_nat] : ( inf_in2572325071724192079at_nat @ B6 @ A4 )
% 3.29/3.53                @ B8 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Inter_eq(2)
% 3.29/3.53  thf(fact_3264_Int__Inter__eq_I2_J,axiom,
% 3.29/3.53      ! [B8: set_set_nat,A4: set_nat] :
% 3.29/3.53        ( ( ( B8 = bot_bot_set_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ B8 ) @ A4 )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( B8 != bot_bot_set_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ B8 ) @ A4 )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_7916887816326733075et_nat
% 3.29/3.53                @ ^ [B6: set_nat] : ( inf_inf_set_nat @ B6 @ A4 )
% 3.29/3.53                @ B8 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Int_Inter_eq(2)
% 3.29/3.53  thf(fact_3265_inj__image__subset__iff,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) )
% 3.29/3.53          = ( ord_less_eq_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_subset_iff
% 3.29/3.53  thf(fact_3266_inj__image__subset__iff,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) )
% 3.29/3.53          = ( ord_less_eq_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_subset_iff
% 3.29/3.53  thf(fact_3267_inj__image__subset__iff,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) )
% 3.29/3.53          = ( ord_less_eq_set_nat @ A4 @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_subset_iff
% 3.29/3.53  thf(fact_3268_inj__image__subset__iff,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) )
% 3.29/3.53          = ( ord_less_eq_set_int @ A4 @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_subset_iff
% 3.29/3.53  thf(fact_3269_inj__image__subset__iff,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) )
% 3.29/3.53          = ( ord_less_eq_set_int @ A4 @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_image_subset_iff
% 3.29/3.53  thf(fact_3270_inj__on__image__set__diff,axiom,
% 3.29/3.53      ! [F: nat > rat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ ( minus_minus_set_nat @ A4 @ B5 ) @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.53           => ( ( image_nat_rat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) )
% 3.29/3.53              = ( minus_minus_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_set_diff
% 3.29/3.53  thf(fact_3271_inj__on__image__set__diff,axiom,
% 3.29/3.53      ! [F: nat > nat,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ ( minus_minus_set_nat @ A4 @ B5 ) @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.53           => ( ( image_nat_nat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) )
% 3.29/3.53              = ( minus_minus_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_set_diff
% 3.29/3.53  thf(fact_3272_inj__on__image__set__diff,axiom,
% 3.29/3.53      ! [F: nat > int,C3: set_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ ( minus_minus_set_nat @ A4 @ B5 ) @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ B5 @ C3 )
% 3.29/3.53           => ( ( image_nat_int @ F @ ( minus_minus_set_nat @ A4 @ B5 ) )
% 3.29/3.53              = ( minus_minus_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_set_diff
% 3.29/3.53  thf(fact_3273_inj__on__image__set__diff,axiom,
% 3.29/3.53      ! [F: int > nat,C3: set_int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ ( minus_minus_set_int @ A4 @ B5 ) @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ B5 @ C3 )
% 3.29/3.53           => ( ( image_int_nat @ F @ ( minus_minus_set_int @ A4 @ B5 ) )
% 3.29/3.53              = ( minus_minus_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_set_diff
% 3.29/3.53  thf(fact_3274_inj__on__image__set__diff,axiom,
% 3.29/3.53      ! [F: int > int,C3: set_int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ ( minus_minus_set_int @ A4 @ B5 ) @ C3 )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ B5 @ C3 )
% 3.29/3.53           => ( ( image_int_int @ F @ ( minus_minus_set_int @ A4 @ B5 ) )
% 3.29/3.53              = ( minus_minus_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_image_set_diff
% 3.29/3.53  thf(fact_3275_image__set__diff,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( image_nat_rat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) )
% 3.29/3.53          = ( minus_minus_set_rat @ ( image_nat_rat @ F @ A4 ) @ ( image_nat_rat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_set_diff
% 3.29/3.53  thf(fact_3276_image__set__diff,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( image_nat_nat @ F @ ( minus_minus_set_nat @ A4 @ B5 ) )
% 3.29/3.53          = ( minus_minus_set_nat @ ( image_nat_nat @ F @ A4 ) @ ( image_nat_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_set_diff
% 3.29/3.53  thf(fact_3277_image__set__diff,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( image_nat_int @ F @ ( minus_minus_set_nat @ A4 @ B5 ) )
% 3.29/3.53          = ( minus_minus_set_int @ ( image_nat_int @ F @ A4 ) @ ( image_nat_int @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_set_diff
% 3.29/3.53  thf(fact_3278_image__set__diff,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.53       => ( ( image_int_nat @ F @ ( minus_minus_set_int @ A4 @ B5 ) )
% 3.29/3.53          = ( minus_minus_set_nat @ ( image_int_nat @ F @ A4 ) @ ( image_int_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_set_diff
% 3.29/3.53  thf(fact_3279_image__set__diff,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.53       => ( ( image_int_int @ F @ ( minus_minus_set_int @ A4 @ B5 ) )
% 3.29/3.53          = ( minus_minus_set_int @ ( image_int_int @ F @ A4 ) @ ( image_int_int @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_set_diff
% 3.29/3.53  thf(fact_3280_cINF__lower2,axiom,
% 3.29/3.53      ! [F: $o > nat,A4: set_o,X2: $o,U: nat] :
% 3.29/3.53        ( ( condit1738341127787009408ow_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_o_nat @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3281_cINF__lower2,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,X2: nat,U: nat] :
% 3.29/3.53        ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3282_cINF__lower2,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,X2: int,U: nat] :
% 3.29/3.53        ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3283_cINF__lower2,axiom,
% 3.29/3.53      ! [F: $o > int,A4: set_o,X2: $o,U: int] :
% 3.29/3.53        ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3284_cINF__lower2,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,X2: nat,U: int] :
% 3.29/3.53        ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3285_cINF__lower2,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,X2: int,U: int] :
% 3.29/3.53        ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3286_cINF__lower2,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_o,X2: $o,U: product_unit] :
% 3.29/3.53        ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3287_cINF__lower2,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: set_nat,X2: nat,U: product_unit] :
% 3.29/3.53        ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3288_cINF__lower2,axiom,
% 3.29/3.53      ! [F: int > product_unit,A4: set_int,X2: int,U: product_unit] :
% 3.29/3.53        ( ( condit9161856309968323677t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3289_cINF__lower2,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A4: set_o,X2: $o,U: set_nat] :
% 3.29/3.53        ( ( condit68592940725977398et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ ( F @ X2 ) @ U )
% 3.29/3.53           => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ U ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower2
% 3.29/3.53  thf(fact_3290_cINF__lower,axiom,
% 3.29/3.53      ! [F: $o > nat,A4: set_o,X2: $o] :
% 3.29/3.53        ( ( condit1738341127787009408ow_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_o_nat @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3291_cINF__lower,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,X2: nat] :
% 3.29/3.53        ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3292_cINF__lower,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,X2: int] :
% 3.29/3.53        ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3293_cINF__lower,axiom,
% 3.29/3.53      ! [F: $o > int,A4: set_o,X2: $o] :
% 3.29/3.53        ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3294_cINF__lower,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,X2: nat] :
% 3.29/3.53        ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3295_cINF__lower,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,X2: int] :
% 3.29/3.53        ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3296_cINF__lower,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_o,X2: $o] :
% 3.29/3.53        ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3297_cINF__lower,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: set_nat,X2: nat] :
% 3.29/3.53        ( ( condit9161856309968323677t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3298_cINF__lower,axiom,
% 3.29/3.53      ! [F: int > product_unit,A4: set_int,X2: int] :
% 3.29/3.53        ( ( condit9161856309968323677t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3299_cINF__lower,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A4: set_o,X2: $o] :
% 3.29/3.53        ( ( condit68592940725977398et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ord_less_eq_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) @ ( F @ X2 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_lower
% 3.29/3.53  thf(fact_3300_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: $o > nat,A4: set_o,X2: $o,U: nat] :
% 3.29/3.53        ( ( condit2214826472909112428ve_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_nat @ U @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3301_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,X2: nat,U: nat] :
% 3.29/3.53        ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_nat @ U @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3302_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,X2: int,U: nat] :
% 3.29/3.53        ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_nat @ U @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3303_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: $o > int,A4: set_o,X2: $o,U: int] :
% 3.29/3.53        ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_int @ U @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3304_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,X2: nat,U: int] :
% 3.29/3.53        ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_int @ U @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3305_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,X2: int,U: int] :
% 3.29/3.53        ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_int @ U @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3306_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_o,X2: $o,U: product_unit] :
% 3.29/3.53        ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3307_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: set_nat,X2: nat,U: product_unit] :
% 3.29/3.53        ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_nat @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3308_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: int > product_unit,A4: set_int,X2: int,U: product_unit] :
% 3.29/3.53        ( ( condit2080475194861589617t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53       => ( ( member_int @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ U @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3309_cSUP__upper2,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A4: set_o,X2: $o,U: set_nat] :
% 3.29/3.53        ( ( condit5477540289124974626et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53       => ( ( member_o @ X2 @ A4 )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ U @ ( F @ X2 ) )
% 3.29/3.53           => ( ord_less_eq_set_nat @ U @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper2
% 3.29/3.53  thf(fact_3310_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: $o,A4: set_o,F: $o > nat] :
% 3.29/3.53        ( ( member_o @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_nat @ ( F @ X2 ) @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3311_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: nat,A4: set_nat,F: nat > nat] :
% 3.29/3.53        ( ( member_nat @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_nat @ ( F @ X2 ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3312_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: int,A4: set_int,F: int > nat] :
% 3.29/3.53        ( ( member_int @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_nat @ ( F @ X2 ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3313_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: $o,A4: set_o,F: $o > int] :
% 3.29/3.53        ( ( member_o @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_int @ ( F @ X2 ) @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3314_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: nat,A4: set_nat,F: nat > int] :
% 3.29/3.53        ( ( member_nat @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_int @ ( F @ X2 ) @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3315_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: int,A4: set_int,F: int > int] :
% 3.29/3.53        ( ( member_int @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_int @ ( F @ X2 ) @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3316_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: $o,A4: set_o,F: $o > product_unit] :
% 3.29/3.53        ( ( member_o @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ord_le3221252021190050221t_unit @ ( F @ X2 ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3317_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: nat,A4: set_nat,F: nat > product_unit] :
% 3.29/3.53        ( ( member_nat @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ord_le3221252021190050221t_unit @ ( F @ X2 ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3318_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: int,A4: set_int,F: int > product_unit] :
% 3.29/3.53        ( ( member_int @ X2 @ A4 )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ord_le3221252021190050221t_unit @ ( F @ X2 ) @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3319_cSUP__upper,axiom,
% 3.29/3.53      ! [X2: $o,A4: set_o,F: $o > set_nat] :
% 3.29/3.53        ( ( member_o @ X2 @ A4 )
% 3.29/3.53       => ( ( condit5477540289124974626et_nat @ ( image_o_set_nat @ F @ A4 ) )
% 3.29/3.53         => ( ord_less_eq_set_nat @ ( F @ X2 ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_upper
% 3.29/3.53  thf(fact_3320_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_nat,F: product_unit > set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3321_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_nat,F: $o > set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ bot_bot_set_o ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3322_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ bot_bot_set_nat ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3323_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_nat,F: product_prod_nat_nat > set_nat] :
% 3.29/3.53        ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ bot_bo2099793752762293965at_nat ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3324_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_Pr8693737435421807431at_nat,F: product_unit > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ F @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3325_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_Pr8693737435421807431at_nat,F: $o > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ F @ bot_bot_set_o ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3326_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_Pr8693737435421807431at_nat,F: nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ F @ bot_bot_set_nat ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3327_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_Pr4329608150637261639at_nat,F: product_unit > set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ F @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3328_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_Pr8693737435421807431at_nat,F: product_prod_nat_nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ F @ bot_bo2099793752762293965at_nat ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3329_Union__image__empty,axiom,
% 3.29/3.53      ! [A4: set_Pr4329608150637261639at_nat,F: $o > set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ F @ bot_bot_set_o ) ) )
% 3.29/3.53        = A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_empty
% 3.29/3.53  thf(fact_3330_Union__image__insert,axiom,
% 3.29/3.53      ! [F: nat > set_nat,A: nat,B5: set_nat] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ ( insert_nat @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3331_Union__image__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_nat,A: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ ( insert_Product_unit @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3332_Union__image__insert,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A: $o,B5: set_o] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ ( insert_o @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3333_Union__image__insert,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > set_nat,A: product_prod_nat_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ ( insert8211810215607154385at_nat @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3334_Union__image__insert,axiom,
% 3.29/3.53      ! [F: nat > set_Pr8693737435421807431at_nat,A: nat,B5: set_nat] :
% 3.29/3.53        ( ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ F @ ( insert_nat @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( F @ A ) @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3335_Union__image__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_Pr8693737435421807431at_nat,A: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ F @ ( insert_Product_unit @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( F @ A ) @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3336_Union__image__insert,axiom,
% 3.29/3.53      ! [F: $o > set_Pr8693737435421807431at_nat,A: $o,B5: set_o] :
% 3.29/3.53        ( ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ F @ ( insert_o @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( F @ A ) @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3337_Union__image__insert,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > set_Pr8693737435421807431at_nat,A: product_prod_nat_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ F @ ( insert8211810215607154385at_nat @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( F @ A ) @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3338_Union__image__insert,axiom,
% 3.29/3.53      ! [F: nat > set_Pr4329608150637261639at_nat,A: nat,B5: set_nat] :
% 3.29/3.53        ( ( comple4364388969068068532at_nat @ ( image_1087905878993176368at_nat @ F @ ( insert_nat @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_su5525570899277871387at_nat @ ( F @ A ) @ ( comple4364388969068068532at_nat @ ( image_1087905878993176368at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3339_Union__image__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_Pr4329608150637261639at_nat,A: product_unit,B5: set_Product_unit] :
% 3.29/3.53        ( ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ F @ ( insert_Product_unit @ A @ B5 ) ) )
% 3.29/3.53        = ( sup_su5525570899277871387at_nat @ ( F @ A ) @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ F @ B5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Union_image_insert
% 3.29/3.53  thf(fact_3340_SUP__insert,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3341_SUP__insert,axiom,
% 3.29/3.53      ! [F: product_unit > product_unit,A: product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3342_SUP__insert,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A: $o,A4: set_o] :
% 3.29/3.53        ( ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3343_SUP__insert,axiom,
% 3.29/3.53      ! [F: nat > set_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3344_SUP__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3345_SUP__insert,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A: $o,A4: set_o] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3346_SUP__insert,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > product_unit,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_Product_unit @ ( F @ A ) @ ( comple4687483117567863418t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3347_SUP__insert,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > set_nat,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( F @ A ) @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3348_SUP__insert,axiom,
% 3.29/3.53      ! [F: nat > set_Pr8693737435421807431at_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( F @ A ) @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3349_SUP__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_Pr8693737435421807431at_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( F @ A ) @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % SUP_insert
% 3.29/3.53  thf(fact_3350_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_Product_unit,F: product_unit > product_unit,X2: product_unit] :
% 3.29/3.53        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_405062704495631173t_unit
% 3.29/3.53              @ ^ [I2: product_unit] : ( inf_inf_Product_unit @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3351_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_o,F: $o > product_unit,X2: product_unit] :
% 3.29/3.53        ( ( I3 != bot_bot_set_o )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_o_Product_unit
% 3.29/3.53              @ ^ [I2: $o] : ( inf_inf_Product_unit @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3352_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_nat,F: nat > product_unit,X2: product_unit] :
% 3.29/3.53        ( ( I3 != bot_bot_set_nat )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_8730104196221521654t_unit
% 3.29/3.53              @ ^ [I2: nat] : ( inf_inf_Product_unit @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3353_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_Product_unit,F: product_unit > set_nat,X2: set_nat] :
% 3.29/3.53        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( comple7806235888213564991et_nat
% 3.29/3.53            @ ( image_8173849991827986510et_nat
% 3.29/3.53              @ ^ [I2: product_unit] : ( inf_inf_set_nat @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3354_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_o,F: $o > set_nat,X2: set_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_o )
% 3.29/3.53       => ( ( comple7806235888213564991et_nat
% 3.29/3.53            @ ( image_o_set_nat
% 3.29/3.53              @ ^ [I2: $o] : ( inf_inf_set_nat @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3355_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_nat,F: nat > set_nat,X2: set_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_nat )
% 3.29/3.53       => ( ( comple7806235888213564991et_nat
% 3.29/3.53            @ ( image_nat_set_nat
% 3.29/3.53              @ ^ [I2: nat] : ( inf_inf_set_nat @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3356_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_unit,X2: product_unit] :
% 3.29/3.53        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_6169909464789311569t_unit
% 3.29/3.53              @ ^ [I2: product_prod_nat_nat] : ( inf_inf_Product_unit @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3357_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_Product_unit,F: product_unit > set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( comple1930127330929219688at_nat
% 3.29/3.53            @ ( image_3617315916088684441at_nat
% 3.29/3.53              @ ^ [I2: product_unit] : ( inf_in2572325071724192079at_nat @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3358_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_o,F: $o > set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_o )
% 3.29/3.53       => ( ( comple1930127330929219688at_nat
% 3.29/3.53            @ ( image_7077428525161401678at_nat
% 3.29/3.53              @ ^ [I2: $o] : ( inf_in2572325071724192079at_nat @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3359_INF__inf__const2,axiom,
% 3.29/3.53      ! [I3: set_nat,F: nat > set_Pr1261947904930325089at_nat,X2: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_nat )
% 3.29/3.53       => ( ( comple1930127330929219688at_nat
% 3.29/3.53            @ ( image_7178329752028323786at_nat
% 3.29/3.53              @ ^ [I2: nat] : ( inf_in2572325071724192079at_nat @ ( F @ I2 ) @ X2 )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ F @ I3 ) ) @ X2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const2
% 3.29/3.53  thf(fact_3360_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_Product_unit,X2: product_unit,F: product_unit > product_unit] :
% 3.29/3.53        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_405062704495631173t_unit
% 3.29/3.53              @ ^ [I2: product_unit] : ( inf_inf_Product_unit @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ X2 @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3361_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_o,X2: product_unit,F: $o > product_unit] :
% 3.29/3.53        ( ( I3 != bot_bot_set_o )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_o_Product_unit
% 3.29/3.53              @ ^ [I2: $o] : ( inf_inf_Product_unit @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ X2 @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3362_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_nat,X2: product_unit,F: nat > product_unit] :
% 3.29/3.53        ( ( I3 != bot_bot_set_nat )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_8730104196221521654t_unit
% 3.29/3.53              @ ^ [I2: nat] : ( inf_inf_Product_unit @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ X2 @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3363_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_Product_unit,X2: set_nat,F: product_unit > set_nat] :
% 3.29/3.53        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( comple7806235888213564991et_nat
% 3.29/3.53            @ ( image_8173849991827986510et_nat
% 3.29/3.53              @ ^ [I2: product_unit] : ( inf_inf_set_nat @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_set_nat @ X2 @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3364_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_o,X2: set_nat,F: $o > set_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_o )
% 3.29/3.53       => ( ( comple7806235888213564991et_nat
% 3.29/3.53            @ ( image_o_set_nat
% 3.29/3.53              @ ^ [I2: $o] : ( inf_inf_set_nat @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_set_nat @ X2 @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3365_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_nat,X2: set_nat,F: nat > set_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_nat )
% 3.29/3.53       => ( ( comple7806235888213564991et_nat
% 3.29/3.53            @ ( image_nat_set_nat
% 3.29/3.53              @ ^ [I2: nat] : ( inf_inf_set_nat @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_set_nat @ X2 @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3366_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_Pr1261947904930325089at_nat,X2: product_unit,F: product_prod_nat_nat > product_unit] :
% 3.29/3.53        ( ( I3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53       => ( ( comple2584293577114468500t_unit
% 3.29/3.53            @ ( image_6169909464789311569t_unit
% 3.29/3.53              @ ^ [I2: product_prod_nat_nat] : ( inf_inf_Product_unit @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_inf_Product_unit @ X2 @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3367_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_Product_unit,X2: set_Pr1261947904930325089at_nat,F: product_unit > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( comple1930127330929219688at_nat
% 3.29/3.53            @ ( image_3617315916088684441at_nat
% 3.29/3.53              @ ^ [I2: product_unit] : ( inf_in2572325071724192079at_nat @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_in2572325071724192079at_nat @ X2 @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3368_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_o,X2: set_Pr1261947904930325089at_nat,F: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_o )
% 3.29/3.53       => ( ( comple1930127330929219688at_nat
% 3.29/3.53            @ ( image_7077428525161401678at_nat
% 3.29/3.53              @ ^ [I2: $o] : ( inf_in2572325071724192079at_nat @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_in2572325071724192079at_nat @ X2 @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3369_INF__inf__const1,axiom,
% 3.29/3.53      ! [I3: set_nat,X2: set_Pr1261947904930325089at_nat,F: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( I3 != bot_bot_set_nat )
% 3.29/3.53       => ( ( comple1930127330929219688at_nat
% 3.29/3.53            @ ( image_7178329752028323786at_nat
% 3.29/3.53              @ ^ [I2: nat] : ( inf_in2572325071724192079at_nat @ X2 @ ( F @ I2 ) )
% 3.29/3.53              @ I3 ) )
% 3.29/3.53          = ( inf_in2572325071724192079at_nat @ X2 @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ F @ I3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_inf_const1
% 3.29/3.53  thf(fact_3370_INF__insert,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3371_INF__insert,axiom,
% 3.29/3.53      ! [F: product_unit > product_unit,A: product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3372_INF__insert,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A: $o,A4: set_o] :
% 3.29/3.53        ( ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3373_INF__insert,axiom,
% 3.29/3.53      ! [F: nat > set_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_set_nat @ ( F @ A ) @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3374_INF__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_set_nat @ ( F @ A ) @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3375_INF__insert,axiom,
% 3.29/3.53      ! [F: $o > set_nat,A: $o,A4: set_o] :
% 3.29/3.53        ( ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_set_nat @ ( F @ A ) @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3376_INF__insert,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > product_unit,A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ ( insert8211810215607154385at_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_inf_Product_unit @ ( F @ A ) @ ( comple2584293577114468500t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3377_INF__insert,axiom,
% 3.29/3.53      ! [F: nat > set_Pr1261947904930325089at_nat,A: nat,A4: set_nat] :
% 3.29/3.53        ( ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ F @ ( insert_nat @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ ( F @ A ) @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3378_INF__insert,axiom,
% 3.29/3.53      ! [F: product_unit > set_Pr1261947904930325089at_nat,A: product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ F @ ( insert_Product_unit @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ ( F @ A ) @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3379_INF__insert,axiom,
% 3.29/3.53      ! [F: $o > set_Pr1261947904930325089at_nat,A: $o,A4: set_o] :
% 3.29/3.53        ( ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ F @ ( insert_o @ A @ A4 ) ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ ( F @ A ) @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INF_insert
% 3.29/3.53  thf(fact_3380_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: product_unit > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_8173849991827986510et_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3381_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: $o > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_o_set_nat
% 3.29/3.53                @ ^ [X4: $o] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3382_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: nat > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_nat_set_nat
% 3.29/3.53                @ ^ [X4: nat] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3383_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_15824709712370754et_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( sup_sup_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3384_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: product_unit > set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_7288820656315755647at_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( sup_su718114333110466843at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3385_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: $o > set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_8493167801588156084at_nat
% 3.29/3.53                @ ^ [X4: $o] : ( sup_su718114333110466843at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3386_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: nat > set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_4592875511192039216at_nat
% 3.29/3.53                @ ^ [X4: nat] : ( sup_su718114333110466843at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3387_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: product_unit > set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple4364388969068068532at_nat
% 3.29/3.53              @ ( image_5172358348707908735at_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( sup_su5525570899277871387at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3388_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_Pr8693737435421807431at_nat,B5: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_5803077947706746251at_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( sup_su718114333110466843at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3389_UN__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: $o > set_Pr4329608150637261639at_nat,B5: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple4364388969068068532at_nat
% 3.29/3.53              @ ( image_2496312346330513076at_nat
% 3.29/3.53                @ ^ [X4: $o] : ( sup_su5525570899277871387at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(2)
% 3.29/3.53  thf(fact_3390_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: set_nat,B5: product_unit > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_8173849991827986510et_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3391_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: set_nat,B5: $o > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_o_set_nat
% 3.29/3.53                @ ^ [X4: $o] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3392_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_nat_set_nat
% 3.29/3.53                @ ^ [X4: nat] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3393_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: set_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_sup_set_nat @ A4 @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7399068483239264473et_nat
% 3.29/3.53              @ ( image_15824709712370754et_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( sup_sup_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3394_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: set_Pr8693737435421807431at_nat,B5: product_unit > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_7288820656315755647at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_7288820656315755647at_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( sup_su718114333110466843at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3395_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: set_Pr8693737435421807431at_nat,B5: $o > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_8493167801588156084at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_8493167801588156084at_nat
% 3.29/3.53                @ ^ [X4: $o] : ( sup_su718114333110466843at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3396_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: set_Pr8693737435421807431at_nat,B5: nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_4592875511192039216at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_4592875511192039216at_nat
% 3.29/3.53                @ ^ [X4: nat] : ( sup_su718114333110466843at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3397_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: set_Pr4329608150637261639at_nat,B5: product_unit > set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple4364388969068068532at_nat @ ( image_5172358348707908735at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple4364388969068068532at_nat
% 3.29/3.53              @ ( image_5172358348707908735at_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( sup_su5525570899277871387at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3398_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: set_Pr8693737435421807431at_nat,B5: product_prod_nat_nat > set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( sup_su718114333110466843at_nat @ A4 @ ( comple2748534634209756852at_nat @ ( image_5803077947706746251at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple2748534634209756852at_nat
% 3.29/3.53              @ ( image_5803077947706746251at_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( sup_su718114333110466843at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3399_UN__extend__simps_I3_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: set_Pr4329608150637261639at_nat,B5: $o > set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( sup_su5525570899277871387at_nat @ A4 @ ( comple4364388969068068532at_nat @ ( image_2496312346330513076at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple4364388969068068532at_nat
% 3.29/3.53              @ ( image_2496312346330513076at_nat
% 3.29/3.53                @ ^ [X4: $o] : ( sup_su5525570899277871387at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UN_extend_simps(3)
% 3.29/3.53  thf(fact_3400_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: product_unit > set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_3617315916088684441at_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( inf_in2572325071724192079at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3401_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_Pr4329608150637261639at_nat,A4: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_7979982168039674559at_nat
% 3.29/3.53                @ ^ [X4: produc3843707927480180839at_nat] : ( inf_in2572325071724192079at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3402_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_5423882813909314213at_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( inf_in2572325071724192079at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3403_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: $o > set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_7077428525161401678at_nat
% 3.29/3.53                @ ^ [X4: $o] : ( inf_in2572325071724192079at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3404_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: nat > set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_7178329752028323786at_nat
% 3.29/3.53                @ ^ [X4: nat] : ( inf_in2572325071724192079at_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3405_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: product_unit > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_8173849991827986510et_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3406_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_Pr4329608150637261639at_nat,A4: produc3843707927480180839at_nat > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_3160451284896210088et_nat
% 3.29/3.53                @ ^ [X4: produc3843707927480180839at_nat] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3407_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_15824709712370754et_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3408_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: $o > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_o_set_nat
% 3.29/3.53                @ ^ [X4: $o] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3409_INT__extend__simps_I1_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: nat > set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = B5 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ A4 @ C3 ) ) @ B5 )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_nat_set_nat
% 3.29/3.53                @ ^ [X4: nat] : ( inf_inf_set_nat @ ( A4 @ X4 ) @ B5 )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(1)
% 3.29/3.53  thf(fact_3410_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: set_Pr1261947904930325089at_nat,B5: product_unit > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_3617315916088684441at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_3617315916088684441at_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( inf_in2572325071724192079at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3411_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Pr4329608150637261639at_nat,A4: set_Pr1261947904930325089at_nat,B5: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_7979982168039674559at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_7979982168039674559at_nat
% 3.29/3.53                @ ^ [X4: produc3843707927480180839at_nat] : ( inf_in2572325071724192079at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3412_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_5423882813909314213at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_5423882813909314213at_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( inf_in2572325071724192079at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3413_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: set_Pr1261947904930325089at_nat,B5: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_7077428525161401678at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_7077428525161401678at_nat
% 3.29/3.53                @ ^ [X4: $o] : ( inf_in2572325071724192079at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3414_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: set_Pr1261947904930325089at_nat,B5: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_in2572325071724192079at_nat @ A4 @ ( comple1930127330929219688at_nat @ ( image_7178329752028323786at_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple1930127330929219688at_nat
% 3.29/3.53              @ ( image_7178329752028323786at_nat
% 3.29/3.53                @ ^ [X4: nat] : ( inf_in2572325071724192079at_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3415_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Product_unit,A4: set_nat,B5: product_unit > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_8173849991827986510et_nat
% 3.29/3.53                @ ^ [X4: product_unit] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3416_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Pr4329608150637261639at_nat,A4: set_nat,B5: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo228742789529271731at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_3160451284896210088et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_3160451284896210088et_nat
% 3.29/3.53                @ ^ [X4: produc3843707927480180839at_nat] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3417_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_Pr1261947904930325089at_nat,A4: set_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bo2099793752762293965at_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_15824709712370754et_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_15824709712370754et_nat
% 3.29/3.53                @ ^ [X4: product_prod_nat_nat] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3418_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_o,A4: set_nat,B5: $o > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_o )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_o )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_o_set_nat
% 3.29/3.53                @ ^ [X4: $o] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3419_INT__extend__simps_I2_J,axiom,
% 3.29/3.53      ! [C3: set_nat,A4: set_nat,B5: nat > set_nat] :
% 3.29/3.53        ( ( ( C3 = bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = A4 ) )
% 3.29/3.53        & ( ( C3 != bot_bot_set_nat )
% 3.29/3.53         => ( ( inf_inf_set_nat @ A4 @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ C3 ) ) )
% 3.29/3.53            = ( comple7806235888213564991et_nat
% 3.29/3.53              @ ( image_nat_set_nat
% 3.29/3.53                @ ^ [X4: nat] : ( inf_inf_set_nat @ A4 @ ( B5 @ X4 ) )
% 3.29/3.53                @ C3 ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % INT_extend_simps(2)
% 3.29/3.53  thf(fact_3420_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: int] :
% 3.29/3.53                  ( ( member_int @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3421_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_875570014554754200it_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3422_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( complete_Inf_Inf_nat @ ( image_o_nat @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: $o] :
% 3.29/3.53                  ( ( member_o @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3423_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ U @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: nat] :
% 3.29/3.53                  ( ( member_nat @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3424_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: int] :
% 3.29/3.53                  ( ( member_int @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3425_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3426_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: $o] :
% 3.29/3.53                  ( ( member_o @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3427_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ U @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: nat] :
% 3.29/3.53                  ( ( member_nat @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3428_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > product_unit,U: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X4 @ A4 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3429_le__cINF__iff,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > product_unit,U: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ U @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) )
% 3.29/3.53            = ( ! [X4: $o] :
% 3.29/3.53                  ( ( member_o @ X4 @ A4 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ U @ ( F @ X4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % le_cINF_iff
% 3.29/3.53  thf(fact_3430_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_int,F: nat > nat,A4: set_nat,G: int > nat] :
% 3.29/3.53        ( ( B5 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: int] :
% 3.29/3.53                ( ( member_int @ M4 @ B5 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3431_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_int,F: int > nat,A4: set_int,G: int > nat] :
% 3.29/3.53        ( ( B5 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: int] :
% 3.29/3.53                ( ( member_int @ M4 @ B5 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3432_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_Product_unit,F: nat > nat,A4: set_nat,G: product_unit > nat] :
% 3.29/3.53        ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: product_unit] :
% 3.29/3.53                ( ( member_Product_unit @ M4 @ B5 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3433_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_Product_unit,F: int > nat,A4: set_int,G: product_unit > nat] :
% 3.29/3.53        ( ( B5 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: product_unit] :
% 3.29/3.53                ( ( member_Product_unit @ M4 @ B5 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3434_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_o,F: nat > nat,A4: set_nat,G: $o > nat] :
% 3.29/3.53        ( ( B5 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: $o] :
% 3.29/3.53                ( ( member_o @ M4 @ B5 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_o_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3435_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_o,F: int > nat,A4: set_int,G: $o > nat] :
% 3.29/3.53        ( ( B5 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: $o] :
% 3.29/3.53                ( ( member_o @ M4 @ B5 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_o_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3436_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_nat,F: nat > nat,A4: set_nat,G: nat > nat] :
% 3.29/3.53        ( ( B5 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: nat] :
% 3.29/3.53                ( ( member_nat @ M4 @ B5 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3437_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_nat,F: int > nat,A4: set_int,G: nat > nat] :
% 3.29/3.53        ( ( B5 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: nat] :
% 3.29/3.53                ( ( member_nat @ M4 @ B5 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3438_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_int,F: nat > int,A4: set_nat,G: int > int] :
% 3.29/3.53        ( ( B5 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: int] :
% 3.29/3.53                ( ( member_int @ M4 @ B5 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_int @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_int_int @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3439_cINF__mono,axiom,
% 3.29/3.53      ! [B5: set_int,F: int > int,A4: set_int,G: int > int] :
% 3.29/3.53        ( ( B5 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ! [M4: int] :
% 3.29/3.53                ( ( member_int @ M4 @ B5 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ A4 )
% 3.29/3.53                    & ( ord_less_eq_int @ ( F @ X6 ) @ ( G @ M4 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_int_int @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_mono
% 3.29/3.53  thf(fact_3440_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: int] :
% 3.29/3.53                  ( ( member_int @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3441_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_875570014554754200it_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3442_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: $o] :
% 3.29/3.53                  ( ( member_o @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3443_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > nat,U: nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: nat] :
% 3.29/3.53                  ( ( member_nat @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3444_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_int,F: int > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: int] :
% 3.29/3.53                  ( ( member_int @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3445_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3446_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: $o] :
% 3.29/3.53                  ( ( member_o @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3447_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_nat,F: nat > int,U: int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: nat] :
% 3.29/3.53                  ( ( member_nat @ X4 @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3448_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,F: product_unit > product_unit,U: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X4 @ A4 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3449_cSUP__le__iff,axiom,
% 3.29/3.53      ! [A4: set_o,F: $o > product_unit,U: product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ F @ A4 ) )
% 3.29/3.53         => ( ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ U )
% 3.29/3.53            = ( ! [X4: $o] :
% 3.29/3.53                  ( ( member_o @ X4 @ A4 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ ( F @ X4 ) @ U ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_le_iff
% 3.29/3.53  thf(fact_3450_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: nat > nat,B5: set_nat,F: int > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: int] :
% 3.29/3.53                ( ( member_int @ N2 @ A4 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3451_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > nat,B5: set_int,F: int > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: int] :
% 3.29/3.53                ( ( member_int @ N2 @ A4 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3452_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: nat > nat,B5: set_nat,F: product_unit > nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: product_unit] :
% 3.29/3.53                ( ( member_Product_unit @ N2 @ A4 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3453_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: int > nat,B5: set_int,F: product_unit > nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: product_unit] :
% 3.29/3.53                ( ( member_Product_unit @ N2 @ A4 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3454_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_o,G: nat > nat,B5: set_nat,F: $o > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: $o] :
% 3.29/3.53                ( ( member_o @ N2 @ A4 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3455_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_o,G: int > nat,B5: set_int,F: $o > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: $o] :
% 3.29/3.53                ( ( member_o @ N2 @ A4 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3456_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_nat,G: nat > nat,B5: set_nat,F: nat > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: nat] :
% 3.29/3.53                ( ( member_nat @ N2 @ A4 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3457_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_nat,G: int > nat,B5: set_int,F: nat > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: nat] :
% 3.29/3.53                ( ( member_nat @ N2 @ A4 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_nat @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3458_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: nat > int,B5: set_nat,F: int > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: int] :
% 3.29/3.53                ( ( member_int @ N2 @ A4 )
% 3.29/3.53               => ? [X6: nat] :
% 3.29/3.53                    ( ( member_nat @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_int @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_nat_int @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3459_cSUP__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > int,B5: set_int,F: int > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ G @ B5 ) )
% 3.29/3.53         => ( ! [N2: int] :
% 3.29/3.53                ( ( member_int @ N2 @ A4 )
% 3.29/3.53               => ? [X6: int] :
% 3.29/3.53                    ( ( member_int @ X6 @ B5 )
% 3.29/3.53                    & ( ord_less_eq_int @ ( F @ N2 ) @ ( G @ X6 ) ) ) )
% 3.29/3.53           => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_int_int @ G @ B5 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_mono
% 3.29/3.53  thf(fact_3460_prod__set__defs_I1_J,axiom,
% 3.29/3.53      ( basic_685971451221398055t_unit
% 3.29/3.53      = ( ^ [P3: produc7812382424243267045t_unit] : ( insert_ref_a @ ( produc473321116828791851t_unit @ P3 ) @ bot_bot_set_ref_a ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % prod_set_defs(1)
% 3.29/3.53  thf(fact_3461_image__INT,axiom,
% 3.29/3.53      ! [F: int > int,C3: set_int,A4: set_o,B5: $o > set_int,J4: $o] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ C3 )
% 3.29/3.53       => ( ! [X: $o] :
% 3.29/3.53              ( ( member_o @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_int @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_o @ J4 @ A4 )
% 3.29/3.53           => ( ( image_int_int @ F @ ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple3628384868704368283et_int
% 3.29/3.53                @ ( image_o_set_int
% 3.29/3.53                  @ ^ [X4: $o] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3462_image__INT,axiom,
% 3.29/3.53      ! [F: int > int,C3: set_int,A4: set_nat,B5: nat > set_int,J4: nat] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ C3 )
% 3.29/3.53       => ( ! [X: nat] :
% 3.29/3.53              ( ( member_nat @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_int @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_nat @ J4 @ A4 )
% 3.29/3.53           => ( ( image_int_int @ F @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple3628384868704368283et_int
% 3.29/3.53                @ ( image_nat_set_int
% 3.29/3.53                  @ ^ [X4: nat] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3463_image__INT,axiom,
% 3.29/3.53      ! [F: int > int,C3: set_int,A4: set_int,B5: int > set_int,J4: int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ C3 )
% 3.29/3.53       => ( ! [X: int] :
% 3.29/3.53              ( ( member_int @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_int @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_int @ J4 @ A4 )
% 3.29/3.53           => ( ( image_int_int @ F @ ( comple3628384868704368283et_int @ ( image_int_set_int @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple3628384868704368283et_int
% 3.29/3.53                @ ( image_int_set_int
% 3.29/3.53                  @ ^ [X4: int] : ( image_int_int @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3464_image__INT,axiom,
% 3.29/3.53      ! [F: int > nat,C3: set_int,A4: set_o,B5: $o > set_int,J4: $o] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ C3 )
% 3.29/3.53       => ( ! [X: $o] :
% 3.29/3.53              ( ( member_o @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_int @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_o @ J4 @ A4 )
% 3.29/3.53           => ( ( image_int_nat @ F @ ( comple3628384868704368283et_int @ ( image_o_set_int @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple7806235888213564991et_nat
% 3.29/3.53                @ ( image_o_set_nat
% 3.29/3.53                  @ ^ [X4: $o] : ( image_int_nat @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3465_image__INT,axiom,
% 3.29/3.53      ! [F: int > nat,C3: set_int,A4: set_nat,B5: nat > set_int,J4: nat] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ C3 )
% 3.29/3.53       => ( ! [X: nat] :
% 3.29/3.53              ( ( member_nat @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_int @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_nat @ J4 @ A4 )
% 3.29/3.53           => ( ( image_int_nat @ F @ ( comple3628384868704368283et_int @ ( image_nat_set_int @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple7806235888213564991et_nat
% 3.29/3.53                @ ( image_nat_set_nat
% 3.29/3.53                  @ ^ [X4: nat] : ( image_int_nat @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3466_image__INT,axiom,
% 3.29/3.53      ! [F: int > nat,C3: set_int,A4: set_int,B5: int > set_int,J4: int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ C3 )
% 3.29/3.53       => ( ! [X: int] :
% 3.29/3.53              ( ( member_int @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_int @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_int @ J4 @ A4 )
% 3.29/3.53           => ( ( image_int_nat @ F @ ( comple3628384868704368283et_int @ ( image_int_set_int @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple7806235888213564991et_nat
% 3.29/3.53                @ ( image_int_set_nat
% 3.29/3.53                  @ ^ [X4: int] : ( image_int_nat @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3467_image__INT,axiom,
% 3.29/3.53      ! [F: nat > rat,C3: set_nat,A4: set_o,B5: $o > set_nat,J4: $o] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ C3 )
% 3.29/3.53       => ( ! [X: $o] :
% 3.29/3.53              ( ( member_o @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_o @ J4 @ A4 )
% 3.29/3.53           => ( ( image_nat_rat @ F @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple4298007329820168263et_rat
% 3.29/3.53                @ ( image_o_set_rat
% 3.29/3.53                  @ ^ [X4: $o] : ( image_nat_rat @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3468_image__INT,axiom,
% 3.29/3.53      ! [F: nat > int,C3: set_nat,A4: set_o,B5: $o > set_nat,J4: $o] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ C3 )
% 3.29/3.53       => ( ! [X: $o] :
% 3.29/3.53              ( ( member_o @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_o @ J4 @ A4 )
% 3.29/3.53           => ( ( image_nat_int @ F @ ( comple7806235888213564991et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple3628384868704368283et_int
% 3.29/3.53                @ ( image_o_set_int
% 3.29/3.53                  @ ^ [X4: $o] : ( image_nat_int @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3469_image__INT,axiom,
% 3.29/3.53      ! [F: nat > rat,C3: set_nat,A4: set_nat,B5: nat > set_nat,J4: nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ C3 )
% 3.29/3.53       => ( ! [X: nat] :
% 3.29/3.53              ( ( member_nat @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_nat @ J4 @ A4 )
% 3.29/3.53           => ( ( image_nat_rat @ F @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple4298007329820168263et_rat
% 3.29/3.53                @ ( image_nat_set_rat
% 3.29/3.53                  @ ^ [X4: nat] : ( image_nat_rat @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3470_image__INT,axiom,
% 3.29/3.53      ! [F: nat > int,C3: set_nat,A4: set_nat,B5: nat > set_nat,J4: nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ C3 )
% 3.29/3.53       => ( ! [X: nat] :
% 3.29/3.53              ( ( member_nat @ X @ A4 )
% 3.29/3.53             => ( ord_less_eq_set_nat @ ( B5 @ X ) @ C3 ) )
% 3.29/3.53         => ( ( member_nat @ J4 @ A4 )
% 3.29/3.53           => ( ( image_nat_int @ F @ ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) )
% 3.29/3.53              = ( comple3628384868704368283et_int
% 3.29/3.53                @ ( image_nat_set_int
% 3.29/3.53                  @ ^ [X4: nat] : ( image_nat_int @ F @ ( B5 @ X4 ) )
% 3.29/3.53                  @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_INT
% 3.29/3.53  thf(fact_3471_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > nat,B5: set_int,F: int > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: int] :
% 3.29/3.53                  ( ( member_int @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_int_nat @ G @ B5 ) ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3472_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: product_unit > nat,B5: set_Product_unit,F: product_unit > nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_875570014554754200it_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ G @ B5 ) ) @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3473_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_o,G: $o > nat,B5: set_o,F: $o > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_o_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: $o] :
% 3.29/3.53                  ( ( member_o @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_o_nat @ G @ B5 ) ) @ ( complete_Inf_Inf_nat @ ( image_o_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3474_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_nat,G: nat > nat,B5: set_nat,F: nat > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: nat] :
% 3.29/3.53                  ( ( member_nat @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ G @ B5 ) ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3475_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > int,B5: set_int,F: int > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: int] :
% 3.29/3.53                  ( ( member_int @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_int_int @ G @ B5 ) ) @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3476_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: product_unit > int,B5: set_Product_unit,F: product_unit > int] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ G @ B5 ) ) @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3477_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_o,G: $o > int,B5: set_o,F: $o > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_o_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: $o] :
% 3.29/3.53                  ( ( member_o @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_o_int @ G @ B5 ) ) @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3478_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_nat,G: nat > int,B5: set_nat,F: nat > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: nat] :
% 3.29/3.53                  ( ( member_nat @ X @ B5 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Inf_Inf_int @ ( image_nat_int @ G @ B5 ) ) @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3479_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > product_unit,B5: set_int,F: int > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: int] :
% 3.29/3.53                  ( ( member_int @ X @ B5 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3480_cINF__superset__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: product_unit > product_unit,B5: set_Product_unit,F: product_unit > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ ( image_405062704495631173t_unit @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X @ B5 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ ( G @ X ) @ ( F @ X ) ) )
% 3.29/3.53             => ( ord_le3221252021190050221t_unit @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ G @ B5 ) ) @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cINF_superset_mono
% 3.29/3.53  thf(fact_3481_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > nat,B5: set_int,F: int > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: int] :
% 3.29/3.53                  ( ( member_int @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_int_nat @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3482_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: product_unit > nat,B5: set_Product_unit,F: product_unit > nat] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_875570014554754200it_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3483_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_o,G: $o > nat,B5: set_o,F: $o > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_o_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: $o] :
% 3.29/3.53                  ( ( member_o @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_o_nat @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3484_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_nat,G: nat > nat,B5: set_nat,F: nat > nat] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: nat] :
% 3.29/3.53                  ( ( member_nat @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_nat @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3485_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > int,B5: set_int,F: int > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: int] :
% 3.29/3.53                  ( ( member_int @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_int_int @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3486_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: product_unit > int,B5: set_Product_unit,F: product_unit > int] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3487_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_o,G: $o > int,B5: set_o,F: $o > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_o )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: $o] :
% 3.29/3.53                  ( ( member_o @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_o_int @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3488_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_nat,G: nat > int,B5: set_nat,F: nat > int] :
% 3.29/3.53        ( ( A4 != bot_bot_set_nat )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: nat] :
% 3.29/3.53                  ( ( member_nat @ X @ A4 )
% 3.29/3.53                 => ( ord_less_eq_int @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) @ ( complete_Sup_Sup_int @ ( image_nat_int @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3489_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_int,G: int > product_unit,B5: set_int,F: int > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bot_set_int )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: int] :
% 3.29/3.53                  ( ( member_int @ X @ A4 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3490_cSUP__subset__mono,axiom,
% 3.29/3.53      ! [A4: set_Product_unit,G: product_unit > product_unit,B5: set_Product_unit,F: product_unit > product_unit] :
% 3.29/3.53        ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53       => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ G @ B5 ) )
% 3.29/3.53         => ( ( ord_le3507040750410214029t_unit @ A4 @ B5 )
% 3.29/3.53           => ( ! [X: product_unit] :
% 3.29/3.53                  ( ( member_Product_unit @ X @ A4 )
% 3.29/3.53                 => ( ord_le3221252021190050221t_unit @ ( F @ X ) @ ( G @ X ) ) )
% 3.29/3.53             => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ G @ B5 ) ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % cSUP_subset_mono
% 3.29/3.53  thf(fact_3491_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: int > set_Product_unit,I: int,B5: set_Product_unit,J3: set_int] :
% 3.29/3.53        ( ( comple3349607820504768346t_unit @ ( image_8658272795163236474t_unit @ ( fun_up5054257004045450754t_unit @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_8658272795163236474t_unit @ A4 @ ( minus_minus_set_int @ J3 @ ( insert_int @ I @ bot_bot_set_int ) ) ) ) @ ( if_set_Product_unit @ ( member_int @ I @ J3 ) @ B5 @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3492_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: int > set_o,I: int,B5: set_o,J3: set_int] :
% 3.29/3.53        ( ( comple90263536869209701_set_o @ ( image_int_set_o @ ( fun_upd_int_set_o @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_int_set_o @ A4 @ ( minus_minus_set_int @ J3 @ ( insert_int @ I @ bot_bot_set_int ) ) ) ) @ ( if_set_o @ ( member_int @ I @ J3 ) @ B5 @ bot_bot_set_o ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3493_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: product_unit > set_Product_unit,I: product_unit,B5: set_Product_unit,J3: set_Product_unit] :
% 3.29/3.53        ( ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ ( fun_up488859312337516701t_unit @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_7778121751606633509t_unit @ A4 @ ( minus_6452836326544984404t_unit @ J3 @ ( insert_Product_unit @ I @ bot_bo3957492148770167129t_unit ) ) ) ) @ ( if_set_Product_unit @ ( member_Product_unit @ I @ J3 ) @ B5 @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3494_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: product_unit > set_o,I: product_unit,B5: set_o,J3: set_Product_unit] :
% 3.29/3.53        ( ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ ( fun_up1762901246852280360_set_o @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_6930536745178679216_set_o @ A4 @ ( minus_6452836326544984404t_unit @ J3 @ ( insert_Product_unit @ I @ bot_bo3957492148770167129t_unit ) ) ) ) @ ( if_set_o @ ( member_Product_unit @ I @ J3 ) @ B5 @ bot_bot_set_o ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3495_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: $o > set_Product_unit,I: $o,B5: set_Product_unit,J3: set_o] :
% 3.29/3.53        ( ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ ( fun_up4718931970374059986t_unit @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_663195431845683034t_unit @ A4 @ ( minus_minus_set_o @ J3 @ ( insert_o @ I @ bot_bot_set_o ) ) ) ) @ ( if_set_Product_unit @ ( member_o @ I @ J3 ) @ B5 @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3496_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: $o > set_o,I: $o,B5: set_o,J3: set_o] :
% 3.29/3.53        ( ( comple90263536869209701_set_o @ ( image_o_set_o @ ( fun_upd_o_set_o @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_o_set_o @ A4 @ ( minus_minus_set_o @ J3 @ ( insert_o @ I @ bot_bot_set_o ) ) ) ) @ ( if_set_o @ ( member_o @ I @ J3 ) @ B5 @ bot_bot_set_o ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3497_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: nat > set_Product_unit,I: nat,B5: set_Product_unit,J3: set_nat] :
% 3.29/3.53        ( ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ ( fun_up1220017903161424222t_unit @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_su793286257634532545t_unit @ ( comple3349607820504768346t_unit @ ( image_4824033694279209942t_unit @ A4 @ ( minus_minus_set_nat @ J3 @ ( insert_nat @ I @ bot_bot_set_nat ) ) ) ) @ ( if_set_Product_unit @ ( member_nat @ I @ J3 ) @ B5 @ bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3498_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: nat > set_o,I: nat,B5: set_o,J3: set_nat] :
% 3.29/3.53        ( ( comple90263536869209701_set_o @ ( image_nat_set_o @ ( fun_upd_nat_set_o @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_sup_set_o @ ( comple90263536869209701_set_o @ ( image_nat_set_o @ A4 @ ( minus_minus_set_nat @ J3 @ ( insert_nat @ I @ bot_bot_set_nat ) ) ) ) @ ( if_set_o @ ( member_nat @ I @ J3 ) @ B5 @ bot_bot_set_o ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3499_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: int > set_nat,I: int,B5: set_nat,J3: set_int] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_int_set_nat @ ( fun_upd_int_set_nat @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ A4 @ ( minus_minus_set_int @ J3 @ ( insert_int @ I @ bot_bot_set_int ) ) ) ) @ ( if_set_nat @ ( member_int @ I @ J3 ) @ B5 @ bot_bot_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3500_UNION__fun__upd,axiom,
% 3.29/3.53      ! [A4: product_unit > set_nat,I: product_unit,B5: set_nat,J3: set_Product_unit] :
% 3.29/3.53        ( ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ ( fun_up4569834200710200790et_nat @ A4 @ I @ B5 ) @ J3 ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ A4 @ ( minus_6452836326544984404t_unit @ J3 @ ( insert_Product_unit @ I @ bot_bo3957492148770167129t_unit ) ) ) ) @ ( if_set_nat @ ( member_Product_unit @ I @ J3 ) @ B5 @ bot_bot_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % UNION_fun_upd
% 3.29/3.53  thf(fact_3501_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > rat,G: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( image_2021340605491722874at_rat
% 3.29/3.53          @ ^ [X4: nat] : ( product_Pair_rat_rat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc8728714639637146746at_rat @ ( image_nat_rat @ F @ A4 )
% 3.29/3.53          @ ^ [X4: rat] : ( image_nat_rat @ G @ ( inf_inf_set_nat @ ( vimage_nat_rat @ F @ ( insert_rat @ X4 @ bot_bot_set_rat ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3502_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > rat,G: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( image_5529569163885119602at_nat
% 3.29/3.53          @ ^ [X4: nat] : ( product_Pair_rat_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc140472662868866674at_nat @ ( image_nat_rat @ F @ A4 )
% 3.29/3.53          @ ^ [X4: rat] : ( image_nat_nat @ G @ ( inf_inf_set_nat @ ( vimage_nat_rat @ F @ ( insert_rat @ X4 @ bot_bot_set_rat ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3503_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > rat,G: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( image_1351718144375922894at_int
% 3.29/3.53          @ ^ [X4: nat] : ( product_Pair_rat_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc137982192359816398at_int @ ( image_nat_rat @ F @ A4 )
% 3.29/3.53          @ ^ [X4: rat] : ( image_nat_int @ G @ ( inf_inf_set_nat @ ( vimage_nat_rat @ F @ ( insert_rat @ X4 @ bot_bot_set_rat ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3504_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > int,G: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( image_3337248961327643342nt_rat
% 3.29/3.53          @ ^ [X4: nat] : ( product_Pair_int_rat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc821250958618291406nt_rat @ ( image_nat_int @ F @ A4 )
% 3.29/3.53          @ ^ [X4: int] : ( image_nat_rat @ G @ ( inf_inf_set_nat @ ( vimage_nat_int @ F @ ( insert_int @ X4 @ bot_bot_set_int ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3505_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > int,G: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( image_6845477519721040070nt_nat
% 3.29/3.53          @ ^ [X4: nat] : ( product_Pair_int_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc1456381018704787142nt_nat @ ( image_nat_int @ F @ A4 )
% 3.29/3.53          @ ^ [X4: int] : ( image_nat_nat @ G @ ( inf_inf_set_nat @ ( vimage_nat_int @ F @ ( insert_int @ X4 @ bot_bot_set_int ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3506_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: int > int,G: int > nat,A4: set_int] :
% 3.29/3.53        ( ( image_659947567330398058nt_nat
% 3.29/3.53          @ ^ [X4: int] : ( product_Pair_int_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc1456381018704787142nt_nat @ ( image_int_int @ F @ A4 )
% 3.29/3.53          @ ^ [X4: int] : ( image_int_nat @ G @ ( inf_inf_set_int @ ( vimage_int_int @ F @ ( insert_int @ X4 @ bot_bot_set_int ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3507_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > int,G: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( image_2667626500211843362nt_int
% 3.29/3.53          @ ^ [X4: nat] : ( product_Pair_int_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc1453890548195736866nt_int @ ( image_nat_int @ F @ A4 )
% 3.29/3.53          @ ^ [X4: int] : ( image_nat_int @ G @ ( inf_inf_set_nat @ ( vimage_nat_int @ F @ ( insert_int @ X4 @ bot_bot_set_int ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3508_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: int > int,G: int > int,A4: set_int] :
% 3.29/3.53        ( ( image_5705468584675977158nt_int
% 3.29/3.53          @ ^ [X4: int] : ( product_Pair_int_int @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc1453890548195736866nt_int @ ( image_int_int @ F @ A4 )
% 3.29/3.53          @ ^ [X4: int] : ( image_int_int @ G @ ( inf_inf_set_int @ ( vimage_int_int @ F @ ( insert_int @ X4 @ bot_bot_set_int ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3509_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > product_unit,G: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( image_469905907365485675it_rat
% 3.29/3.53          @ ^ [X4: nat] : ( produc4168158269727034510it_rat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc6240246942209516957it_rat @ ( image_8730104196221521654t_unit @ F @ A4 )
% 3.29/3.53          @ ^ [X4: product_unit] : ( image_nat_rat @ G @ ( inf_inf_set_nat @ ( vimage4884490618288580032t_unit @ F @ ( insert_Product_unit @ X4 @ bot_bo3957492148770167129t_unit ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3510_image__split__eq__Sigma,axiom,
% 3.29/3.53      ! [F: nat > product_unit,G: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( image_3978134465758882403it_nat
% 3.29/3.53          @ ^ [X4: nat] : ( produc4803288329813530246it_nat @ ( F @ X4 ) @ ( G @ X4 ) )
% 3.29/3.53          @ A4 )
% 3.29/3.53        = ( produc6875377002296012693it_nat @ ( image_8730104196221521654t_unit @ F @ A4 )
% 3.29/3.53          @ ^ [X4: product_unit] : ( image_nat_nat @ G @ ( inf_inf_set_nat @ ( vimage4884490618288580032t_unit @ F @ ( insert_Product_unit @ X4 @ bot_bo3957492148770167129t_unit ) ) @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_split_eq_Sigma
% 3.29/3.53  thf(fact_3511_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: num,C3: set_num,G: num > $o,X2: num] :
% 3.29/3.53        ( ( member_num @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_num_o @ G @ C3 )
% 3.29/3.53         => ( ( comp_o_num_num
% 3.29/3.53              @ ^ [I2: $o] : ( if_num @ ( member_o @ I2 @ ( image_num_o @ G @ C3 ) ) @ ( the_inv_into_num_o @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_num @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3512_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: num,C3: set_num,G: num > nat,X2: num] :
% 3.29/3.53        ( ( member_num @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_num_nat @ G @ C3 )
% 3.29/3.53         => ( ( comp_nat_num_num
% 3.29/3.53              @ ^ [I2: nat] : ( if_num @ ( member_nat @ I2 @ ( image_num_nat @ G @ C3 ) ) @ ( the_inv_into_num_nat @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_num @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3513_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: num,C3: set_num,G: num > int,X2: num] :
% 3.29/3.53        ( ( member_num @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_num_int @ G @ C3 )
% 3.29/3.53         => ( ( comp_int_num_num
% 3.29/3.53              @ ^ [I2: int] : ( if_num @ ( member_int @ I2 @ ( image_num_int @ G @ C3 ) ) @ ( the_inv_into_num_int @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_num @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3514_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: $o,C3: set_o,G: $o > $o,X2: $o] :
% 3.29/3.53        ( ( member_o @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_o_o @ G @ C3 )
% 3.29/3.53         => ( ( comp_o_o_o
% 3.29/3.53              @ ^ [I2: $o] :
% 3.29/3.53                  ( ( ( member_o @ I2 @ ( image_o_o @ G @ C3 ) )
% 3.29/3.53                   => ( the_inv_into_o_o @ C3 @ G @ I2 ) )
% 3.29/3.53                  & ( ~ ( member_o @ I2 @ ( image_o_o @ G @ C3 ) )
% 3.29/3.53                   => X2 ) )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_o @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3515_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: $o,C3: set_o,G: $o > nat,X2: $o] :
% 3.29/3.53        ( ( member_o @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_o_nat @ G @ C3 )
% 3.29/3.53         => ( ( comp_nat_o_o
% 3.29/3.53              @ ^ [I2: nat] :
% 3.29/3.53                  ( ( ( member_nat @ I2 @ ( image_o_nat @ G @ C3 ) )
% 3.29/3.53                   => ( the_inv_into_o_nat @ C3 @ G @ I2 ) )
% 3.29/3.53                  & ( ~ ( member_nat @ I2 @ ( image_o_nat @ G @ C3 ) )
% 3.29/3.53                   => X2 ) )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_o @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3516_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: $o,C3: set_o,G: $o > int,X2: $o] :
% 3.29/3.53        ( ( member_o @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_o_int @ G @ C3 )
% 3.29/3.53         => ( ( comp_int_o_o
% 3.29/3.53              @ ^ [I2: int] :
% 3.29/3.53                  ( ( ( member_int @ I2 @ ( image_o_int @ G @ C3 ) )
% 3.29/3.53                   => ( the_inv_into_o_int @ C3 @ G @ I2 ) )
% 3.29/3.53                  & ( ~ ( member_int @ I2 @ ( image_o_int @ G @ C3 ) )
% 3.29/3.53                   => X2 ) )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_o @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3517_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: nat,C3: set_nat,G: nat > rat,X2: nat] :
% 3.29/3.53        ( ( member_nat @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_nat_rat @ G @ C3 )
% 3.29/3.53         => ( ( comp_rat_nat_nat
% 3.29/3.53              @ ^ [I2: rat] : ( if_nat @ ( member_rat @ I2 @ ( image_nat_rat @ G @ C3 ) ) @ ( the_inv_into_nat_rat @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_nat @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3518_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: nat,C3: set_nat,G: nat > $o,X2: nat] :
% 3.29/3.53        ( ( member_nat @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_nat_o @ G @ C3 )
% 3.29/3.53         => ( ( comp_o_nat_nat
% 3.29/3.53              @ ^ [I2: $o] : ( if_nat @ ( member_o @ I2 @ ( image_nat_o @ G @ C3 ) ) @ ( the_inv_into_nat_o @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_nat @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3519_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: nat,C3: set_nat,G: nat > nat,X2: nat] :
% 3.29/3.53        ( ( member_nat @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_nat_nat @ G @ C3 )
% 3.29/3.53         => ( ( comp_nat_nat_nat
% 3.29/3.53              @ ^ [I2: nat] : ( if_nat @ ( member_nat @ I2 @ ( image_nat_nat @ G @ C3 ) ) @ ( the_inv_into_nat_nat @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_nat @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3520_If__the__inv__into__f__f,axiom,
% 3.29/3.53      ! [I: nat,C3: set_nat,G: nat > int,X2: nat] :
% 3.29/3.53        ( ( member_nat @ I @ C3 )
% 3.29/3.53       => ( ( inj_on_nat_int @ G @ C3 )
% 3.29/3.53         => ( ( comp_int_nat_nat
% 3.29/3.53              @ ^ [I2: int] : ( if_nat @ ( member_int @ I2 @ ( image_nat_int @ G @ C3 ) ) @ ( the_inv_into_nat_int @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53              @ G
% 3.29/3.53              @ I )
% 3.29/3.53            = ( id_nat @ I ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_f_f
% 3.29/3.53  thf(fact_3521_Field__insert,axiom,
% 3.29/3.53      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat,R: set_Pr7459493094073627847at_nat] :
% 3.29/3.53        ( ( field_1428494348145443988at_nat @ ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_su474284620922681339at_nat @ ( insert2290795007606087959at_nat @ A @ ( insert2290795007606087959at_nat @ B @ bot_bo1534825418459847827at_nat ) ) @ ( field_1428494348145443988at_nat @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3522_Field__insert,axiom,
% 3.29/3.53      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat,R: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( field_3145993188331922222at_nat @ ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_su3642409539654194069at_nat @ ( insert9200635055090092081at_nat @ A @ ( insert9200635055090092081at_nat @ B @ bot_bo3083307316010499117at_nat ) ) @ ( field_3145993188331922222at_nat @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3523_Field__insert,axiom,
% 3.29/3.53      ! [A: int,B: int,R: set_Pr958786334691620121nt_int] :
% 3.29/3.53        ( ( field_int @ ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_sup_set_int @ ( insert_int @ A @ ( insert_int @ B @ bot_bot_set_int ) ) @ ( field_int @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3524_Field__insert,axiom,
% 3.29/3.53      ! [A: produc859450856879609959at_nat,B: produc859450856879609959at_nat,R: set_Pr553994874890374343at_nat] :
% 3.29/3.53        ( ( field_3044959742847878580at_nat @ ( insert5475735164933346999at_nat @ ( produc4662710985925991255at_nat @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_su718114333110466843at_nat @ ( insert5050368324300391991at_nat @ A @ ( insert5050368324300391991at_nat @ B @ bot_bo5327735625951526323at_nat ) ) @ ( field_3044959742847878580at_nat @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3525_Field__insert,axiom,
% 3.29/3.53      ! [A: product_unit,B: product_unit,R: set_Pr5094982260447487303t_unit] :
% 3.29/3.53        ( ( field_Product_unit @ ( insert4616891024742550839t_unit @ ( produc5692694829384537815t_unit @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_su793286257634532545t_unit @ ( insert_Product_unit @ A @ ( insert_Product_unit @ B @ bot_bo3957492148770167129t_unit ) ) @ ( field_Product_unit @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3526_Field__insert,axiom,
% 3.29/3.53      ! [A: produc3843707927480180839at_nat,B: produc3843707927480180839at_nat,R: set_Pr5564308138774400199at_nat] :
% 3.29/3.53        ( ( field_2862844103579723188at_nat @ ( insert398606708087465655at_nat @ ( produc2335810615602371415at_nat @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_su5525570899277871387at_nat @ ( insert9069300056098147895at_nat @ A @ ( insert9069300056098147895at_nat @ B @ bot_bo228742789529271731at_nat ) ) @ ( field_2862844103579723188at_nat @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3527_Field__insert,axiom,
% 3.29/3.53      ! [A: product_prod_nat_nat,B: product_prod_nat_nat,R: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( field_4706345496283612622at_nat @ ( insert5050368324300391991at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_su6327502436637775413at_nat @ ( insert8211810215607154385at_nat @ A @ ( insert8211810215607154385at_nat @ B @ bot_bo2099793752762293965at_nat ) ) @ ( field_4706345496283612622at_nat @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3528_Field__insert,axiom,
% 3.29/3.53      ! [A: $o,B: $o,R: set_Product_prod_o_o] :
% 3.29/3.53        ( ( field_o @ ( insert6201435330877294327od_o_o @ ( product_Pair_o_o @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_sup_set_o @ ( insert_o @ A @ ( insert_o @ B @ bot_bot_set_o ) ) @ ( field_o @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3529_Field__insert,axiom,
% 3.29/3.53      ! [A: nat,B: nat,R: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( field_nat @ ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R ) )
% 3.29/3.53        = ( sup_sup_set_nat @ ( insert_nat @ A @ ( insert_nat @ B @ bot_bot_set_nat ) ) @ ( field_nat @ R ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_insert
% 3.29/3.53  thf(fact_3530_bdd__below__image__antimono,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( order_2045666486212196060at_rat @ F )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.53         => ( condit1103211067700513672ow_rat @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_antimono
% 3.29/3.53  thf(fact_3531_bdd__below__image__antimono,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( order_2680796546298691796at_nat @ F )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.53         => ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_antimono
% 3.29/3.53  thf(fact_3532_bdd__below__image__antimono,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( order_2678306075789641520at_int @ F )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.53         => ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_antimono
% 3.29/3.53  thf(fact_3533_bdd__below__image__antimono,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( order_3680150258199746352nt_nat @ F )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ A4 )
% 3.29/3.53         => ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_antimono
% 3.29/3.53  thf(fact_3534_bdd__below__image__antimono,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( order_3677659787690696076nt_int @ F )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ A4 )
% 3.29/3.53         => ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_antimono
% 3.29/3.53  thf(fact_3535_bdd__above__image__antimono,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( order_2045666486212196060at_rat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( condit1579696412822616692ve_rat @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_antimono
% 3.29/3.53  thf(fact_3536_bdd__above__image__antimono,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( order_2680796546298691796at_nat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_antimono
% 3.29/3.53  thf(fact_3537_bdd__above__image__antimono,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( order_2678306075789641520at_int @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_antimono
% 3.29/3.53  thf(fact_3538_bdd__above__image__antimono,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( order_3680150258199746352nt_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_antimono
% 3.29/3.53  thf(fact_3539_bdd__above__image__antimono,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( order_3677659787690696076nt_int @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_antimono
% 3.29/3.53  thf(fact_3540_the__inv__f__o__f__id,axiom,
% 3.29/3.53      ! [F: nat > nat,Z2: nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.53       => ( ( comp_nat_nat_nat @ ( the_inv_into_nat_nat @ top_top_set_nat @ F ) @ F @ Z2 )
% 3.29/3.53          = ( id_nat @ Z2 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_f_o_f_id
% 3.29/3.53  thf(fact_3541_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: product_unit > $o,C3: set_Product_unit,B5: set_Product_unit,X2: product_unit] :
% 3.29/3.53        ( ( inj_on8854722734121536060unit_o @ G @ C3 )
% 3.29/3.53       => ( ( ord_le3507040750410214029t_unit @ C3 @ ( sup_su793286257634532545t_unit @ B5 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.53         => ( member2370919827131729009t_unit
% 3.29/3.53            @ ^ [I2: $o] : ( if_Product_unit @ ( member_o @ I2 @ ( image_Product_unit_o @ G @ C3 ) ) @ ( the_in43325605794470270unit_o @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We8730861560085513481t_unit @ top_top_set_o @ ( sup_su793286257634532545t_unit @ B5 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3542_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: $o > $o,C3: set_o,B5: set_o,X2: $o] :
% 3.29/3.53        ( ( inj_on_o_o @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_o @ C3 @ ( sup_sup_set_o @ B5 @ ( insert_o @ X2 @ bot_bot_set_o ) ) )
% 3.29/3.53         => ( member_o_o
% 3.29/3.53            @ ^ [I2: $o] :
% 3.29/3.53                ( ( ( member_o @ I2 @ ( image_o_o @ G @ C3 ) )
% 3.29/3.53                 => ( the_inv_into_o_o @ C3 @ G @ I2 ) )
% 3.29/3.53                & ( ~ ( member_o @ I2 @ ( image_o_o @ G @ C3 ) )
% 3.29/3.53                 => X2 ) )
% 3.29/3.53            @ ( bNF_We7690717809131995284nc_o_o @ top_top_set_o @ ( sup_sup_set_o @ B5 @ ( insert_o @ X2 @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3543_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: nat > $o,C3: set_nat,B5: set_nat,X2: nat] :
% 3.29/3.53        ( ( inj_on_nat_o @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ C3 @ ( sup_sup_set_nat @ B5 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) )
% 3.29/3.53         => ( member_o_nat
% 3.29/3.53            @ ^ [I2: $o] : ( if_nat @ ( member_o @ I2 @ ( image_nat_o @ G @ C3 ) ) @ ( the_inv_into_nat_o @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We6830391624356636116_o_nat @ top_top_set_o @ ( sup_sup_set_nat @ B5 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3544_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: product_unit > char,C3: set_Product_unit,B5: set_Product_unit,X2: product_unit] :
% 3.29/3.53        ( ( inj_on1959294024837303853t_char @ G @ C3 )
% 3.29/3.53       => ( ( ord_le3507040750410214029t_unit @ C3 @ ( sup_su793286257634532545t_unit @ B5 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.53         => ( member379592906918970460t_unit
% 3.29/3.53            @ ^ [I2: char] : ( if_Product_unit @ ( member_char @ I2 @ ( image_7248553556944771225t_char @ G @ C3 ) ) @ ( the_in3194898024646563179t_char @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We7396736742984212070t_unit @ top_top_set_char @ ( sup_su793286257634532545t_unit @ B5 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3545_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: $o > char,C3: set_o,B5: set_o,X2: $o] :
% 3.29/3.53        ( ( inj_on_o_char @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_o @ C3 @ ( sup_sup_set_o @ B5 @ ( insert_o @ X2 @ bot_bot_set_o ) ) )
% 3.29/3.53         => ( member_char_o
% 3.29/3.53            @ ^ [I2: char] :
% 3.29/3.53                ( ( ( member_char @ I2 @ ( image_o_char @ G @ C3 ) )
% 3.29/3.53                 => ( the_inv_into_o_char @ C3 @ G @ I2 ) )
% 3.29/3.53                & ( ~ ( member_char @ I2 @ ( image_o_char @ G @ C3 ) )
% 3.29/3.53                 => X2 ) )
% 3.29/3.53            @ ( bNF_We6174688282833725809char_o @ top_top_set_char @ ( sup_sup_set_o @ B5 @ ( insert_o @ X2 @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3546_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: nat > char,C3: set_nat,B5: set_nat,X2: nat] :
% 3.29/3.53        ( ( inj_on_nat_char @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ C3 @ ( sup_sup_set_nat @ B5 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) )
% 3.29/3.53         => ( member_char_nat
% 3.29/3.53            @ ^ [I2: char] : ( if_nat @ ( member_char @ I2 @ ( image_nat_char @ G @ C3 ) ) @ ( the_in9023905271258939222t_char @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We935846424581991991ar_nat @ top_top_set_char @ ( sup_sup_set_nat @ B5 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3547_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: product_unit > rat,C3: set_Product_unit,B5: set_Product_unit,X2: product_unit] :
% 3.29/3.53        ( ( inj_on7795309031694339124it_rat @ G @ C3 )
% 3.29/3.53       => ( ( ord_le3507040750410214029t_unit @ C3 @ ( sup_su793286257634532545t_unit @ B5 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) )
% 3.29/3.53         => ( member7011034171605722901t_unit
% 3.29/3.53            @ ^ [I2: rat] : ( if_Product_unit @ ( member_rat @ I2 @ ( image_240439954468258464it_rat @ G @ C3 ) ) @ ( the_in3915408195775746418it_rat @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We8564238559827753503t_unit @ top_top_set_rat @ ( sup_su793286257634532545t_unit @ B5 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3548_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: $o > rat,C3: set_o,B5: set_o,X2: $o] :
% 3.29/3.53        ( ( inj_on_o_rat @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_o @ C3 @ ( sup_sup_set_o @ B5 @ ( insert_o @ X2 @ bot_bot_set_o ) ) )
% 3.29/3.53         => ( member_rat_o
% 3.29/3.53            @ ^ [I2: rat] :
% 3.29/3.53                ( ( ( member_rat @ I2 @ ( image_o_rat @ G @ C3 ) )
% 3.29/3.53                 => ( the_inv_into_o_rat @ C3 @ G @ I2 ) )
% 3.29/3.53                & ( ~ ( member_rat @ I2 @ ( image_o_rat @ G @ C3 ) )
% 3.29/3.53                 => X2 ) )
% 3.29/3.53            @ ( bNF_We6195730058148253354_rat_o @ top_top_set_rat @ ( sup_sup_set_o @ B5 @ ( insert_o @ X2 @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3549_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: nat > rat,C3: set_nat,B5: set_nat,X2: nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_nat @ C3 @ ( sup_sup_set_nat @ B5 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) )
% 3.29/3.53         => ( member_rat_nat
% 3.29/3.53            @ ^ [I2: rat] : ( if_nat @ ( member_rat @ I2 @ ( image_nat_rat @ G @ C3 ) ) @ ( the_inv_into_nat_rat @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We7223962090624190782at_nat @ top_top_set_rat @ ( sup_sup_set_nat @ B5 @ ( insert_nat @ X2 @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3550_If__the__inv__into__in__Func,axiom,
% 3.29/3.53      ! [G: int > nat,C3: set_int,B5: set_int,X2: int] :
% 3.29/3.53        ( ( inj_on_int_nat @ G @ C3 )
% 3.29/3.53       => ( ( ord_less_eq_set_int @ C3 @ ( sup_sup_set_int @ B5 @ ( insert_int @ X2 @ bot_bot_set_int ) ) )
% 3.29/3.53         => ( member_nat_int
% 3.29/3.53            @ ^ [I2: nat] : ( if_int @ ( member_nat @ I2 @ ( image_int_nat @ G @ C3 ) ) @ ( the_inv_into_int_nat @ C3 @ G @ I2 ) @ X2 )
% 3.29/3.53            @ ( bNF_We7538026264050006418at_int @ top_top_set_nat @ ( sup_sup_set_int @ B5 @ ( insert_int @ X2 @ bot_bot_set_int ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % If_the_inv_into_in_Func
% 3.29/3.53  thf(fact_3551_mono__cInf,axiom,
% 3.29/3.53      ! [F: $o > nat,A4: set_o] :
% 3.29/3.53        ( ( order_mono_o_nat @ F )
% 3.29/3.53       => ( ( condit5413489452508810728elow_o @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_o )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_o @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_o_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3552_mono__cInf,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_nat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_nat @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3553_mono__cInf,axiom,
% 3.29/3.53      ! [F: $o > int,A4: set_o] :
% 3.29/3.53        ( ( order_mono_o_int @ F )
% 3.29/3.53       => ( ( condit5413489452508810728elow_o @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_o )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ ( complete_Inf_Inf_o @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_o_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3554_mono__cInf,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_int @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ ( complete_Inf_Inf_nat @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_nat_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3555_mono__cInf,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_o] :
% 3.29/3.53        ( ( order_7782127260464396005t_unit @ F )
% 3.29/3.53       => ( ( condit5413489452508810728elow_o @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_o )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( F @ ( complete_Inf_Inf_o @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_o_Product_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3556_mono__cInf,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.53        ( ( order_5727276828720722763t_unit @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( F @ ( complete_Inf_Inf_nat @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3557_mono__cInf,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_int )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_int @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3558_mono__cInf,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( order_mono_int_int @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_int )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ ( complete_Inf_Inf_int @ A4 ) ) @ ( complete_Inf_Inf_int @ ( image_int_int @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3559_mono__cInf,axiom,
% 3.29/3.53      ! [F: int > product_unit,A4: set_int] :
% 3.29/3.53        ( ( order_2843698775922903023t_unit @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bot_set_int )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( F @ ( complete_Inf_Inf_int @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3560_mono__cInf,axiom,
% 3.29/3.53      ! [F: product_unit > nat,A4: set_Product_unit] :
% 3.29/3.53        ( ( order_7096114683908731117it_nat @ F )
% 3.29/3.53       => ( ( condit9161856309968323677t_unit @ A4 )
% 3.29/3.53         => ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( comple2584293577114468500t_unit @ A4 ) ) @ ( complete_Inf_Inf_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cInf
% 3.29/3.53  thf(fact_3561_mono__cINF,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: int > nat,I3: set_int] :
% 3.29/3.53        ( ( order_mono_nat_nat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_int )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_nat @ ( image_int_nat @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_int_nat
% 3.29/3.53                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3562_mono__cINF,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: nat > nat,I3: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_nat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_nat_nat
% 3.29/3.53                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3563_mono__cINF,axiom,
% 3.29/3.53      ! [F: nat > int,A4: int > nat,I3: set_int] :
% 3.29/3.53        ( ( order_mono_nat_int @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_int )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ ( complete_Inf_Inf_nat @ ( image_int_nat @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_int
% 3.29/3.53                @ ( image_int_int
% 3.29/3.53                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3564_mono__cINF,axiom,
% 3.29/3.53      ! [F: nat > int,A4: nat > nat,I3: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_int @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_less_eq_int @ ( F @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_int
% 3.29/3.53                @ ( image_nat_int
% 3.29/3.53                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3565_mono__cINF,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: int > nat,I3: set_int] :
% 3.29/3.53        ( ( order_5727276828720722763t_unit @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_int_nat @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_int )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( F @ ( complete_Inf_Inf_nat @ ( image_int_nat @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( comple2584293577114468500t_unit
% 3.29/3.53                @ ( image_5846526143423701914t_unit
% 3.29/3.53                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3566_mono__cINF,axiom,
% 3.29/3.53      ! [F: nat > product_unit,A4: nat > nat,I3: set_nat] :
% 3.29/3.53        ( ( order_5727276828720722763t_unit @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ ( image_nat_nat @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_le3221252021190050221t_unit @ ( F @ ( complete_Inf_Inf_nat @ ( image_nat_nat @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( comple2584293577114468500t_unit
% 3.29/3.53                @ ( image_8730104196221521654t_unit
% 3.29/3.53                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3567_mono__cINF,axiom,
% 3.29/3.53      ! [F: int > nat,A4: int > int,I3: set_int] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_int_int @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_int )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_int @ ( image_int_int @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_int_nat
% 3.29/3.53                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3568_mono__cINF,axiom,
% 3.29/3.53      ! [F: int > nat,A4: product_unit > int,I3: set_Product_unit] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_873079544045703924it_int @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_int @ ( image_873079544045703924it_int @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_875570014554754200it_nat
% 3.29/3.53                  @ ^ [X4: product_unit] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3569_mono__cINF,axiom,
% 3.29/3.53      ! [F: int > nat,A4: $o > int,I3: set_o] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_o_int @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_o )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_int @ ( image_o_int @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_o_nat
% 3.29/3.53                  @ ^ [X4: $o] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3570_mono__cINF,axiom,
% 3.29/3.53      ! [F: int > nat,A4: nat > int,I3: set_nat] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ ( image_nat_int @ A4 @ I3 ) )
% 3.29/3.53         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.53           => ( ord_less_eq_nat @ ( F @ ( complete_Inf_Inf_int @ ( image_nat_int @ A4 @ I3 ) ) )
% 3.29/3.53              @ ( complete_Inf_Inf_nat
% 3.29/3.53                @ ( image_nat_nat
% 3.29/3.53                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.53                  @ I3 ) ) ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % mono_cINF
% 3.29/3.53  thf(fact_3571_relcompp__distrib2,axiom,
% 3.29/3.53      ! [S5: product_prod_nat_nat > product_prod_nat_nat > $o,T3: product_prod_nat_nat > product_prod_nat_nat > $o,R3: product_prod_nat_nat > int > $o] :
% 3.29/3.53        ( ( relcom8911704206367525917at_int @ ( sup_su362511073950362882_nat_o @ S5 @ T3 ) @ R3 )
% 3.29/3.53        = ( sup_su5231854730092680051_int_o @ ( relcom8911704206367525917at_int @ S5 @ R3 ) @ ( relcom8911704206367525917at_int @ T3 @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % relcompp_distrib2
% 3.29/3.53  thf(fact_3572_relcompp__distrib2,axiom,
% 3.29/3.53      ! [S5: int > int > $o,T3: int > int > $o,R3: int > code_integer > $o] :
% 3.29/3.53        ( ( relcom967497705283160040nteger @ ( sup_sup_int_int_o @ S5 @ T3 ) @ R3 )
% 3.29/3.53        = ( sup_su1544571744061072657eger_o @ ( relcom967497705283160040nteger @ S5 @ R3 ) @ ( relcom967497705283160040nteger @ T3 @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % relcompp_distrib2
% 3.29/3.53  thf(fact_3573_relcompp__distrib,axiom,
% 3.29/3.53      ! [R3: product_prod_nat_nat > product_prod_nat_nat > $o,S5: product_prod_nat_nat > int > $o,T3: product_prod_nat_nat > int > $o] :
% 3.29/3.53        ( ( relcom8911704206367525917at_int @ R3 @ ( sup_su5231854730092680051_int_o @ S5 @ T3 ) )
% 3.29/3.53        = ( sup_su5231854730092680051_int_o @ ( relcom8911704206367525917at_int @ R3 @ S5 ) @ ( relcom8911704206367525917at_int @ R3 @ T3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % relcompp_distrib
% 3.29/3.53  thf(fact_3574_relcompp__distrib,axiom,
% 3.29/3.53      ! [R3: int > int > $o,S5: int > code_integer > $o,T3: int > code_integer > $o] :
% 3.29/3.53        ( ( relcom967497705283160040nteger @ R3 @ ( sup_su1544571744061072657eger_o @ S5 @ T3 ) )
% 3.29/3.53        = ( sup_su1544571744061072657eger_o @ ( relcom967497705283160040nteger @ R3 @ S5 ) @ ( relcom967497705283160040nteger @ R3 @ T3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % relcompp_distrib
% 3.29/3.53  thf(fact_3575_Field__Union,axiom,
% 3.29/3.53      ! [R3: set_se7855581050983116737at_nat] :
% 3.29/3.53        ( ( field_nat @ ( comple5685304695842803022at_nat @ R3 ) )
% 3.29/3.53        = ( comple7399068483239264473et_nat @ ( image_5853224409075402146et_nat @ field_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % Field_Union
% 3.29/3.53  thf(fact_3576_the__inv__into__onto,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.53       => ( ( image_rat_nat @ ( the_inv_into_nat_rat @ A4 @ F ) @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_into_onto
% 3.29/3.53  thf(fact_3577_the__inv__into__onto,axiom,
% 3.29/3.53      ! [F: rat > nat,A4: set_rat] :
% 3.29/3.53        ( ( inj_on_rat_nat @ F @ A4 )
% 3.29/3.53       => ( ( image_nat_rat @ ( the_inv_into_rat_nat @ A4 @ F ) @ ( image_rat_nat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_into_onto
% 3.29/3.53  thf(fact_3578_the__inv__into__onto,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.53       => ( ( image_nat_nat @ ( the_inv_into_nat_nat @ A4 @ F ) @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_into_onto
% 3.29/3.53  thf(fact_3579_the__inv__into__onto,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.53       => ( ( image_nat_int @ ( the_inv_into_int_nat @ A4 @ F ) @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_into_onto
% 3.29/3.53  thf(fact_3580_the__inv__into__onto,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.53       => ( ( image_int_nat @ ( the_inv_into_nat_int @ A4 @ F ) @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_into_onto
% 3.29/3.53  thf(fact_3581_the__inv__into__onto,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.53       => ( ( image_int_int @ ( the_inv_into_int_int @ A4 @ F ) @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % the_inv_into_onto
% 3.29/3.53  thf(fact_3582_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: char > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( image_8382823969816519465at_nat @ F @ ( vimage8942442433166402803at_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ A4 @ ( image_8382823969816519465at_nat @ F @ top_top_set_char ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3583_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: list_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( image_2795870212791037530at_nat @ F @ ( vimage8527374361057053988at_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ A4 @ ( image_2795870212791037530at_nat @ F @ top_top_set_list_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3584_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: rat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( image_9175953278516507234at_nat @ F @ ( vimage2119786153496215084at_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ A4 @ ( image_9175953278516507234at_nat @ F @ top_top_set_rat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3585_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_rat] :
% 3.29/3.53        ( ( image_nat_rat @ F @ ( vimage_nat_rat @ F @ A4 ) )
% 3.29/3.53        = ( inf_inf_set_rat @ A4 @ ( image_nat_rat @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3586_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( image_nat_nat @ F @ ( vimage_nat_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_inf_set_nat @ A4 @ ( image_nat_nat @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3587_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_int] :
% 3.29/3.53        ( ( image_nat_int @ F @ ( vimage_nat_int @ F @ A4 ) )
% 3.29/3.53        = ( inf_inf_set_int @ A4 @ ( image_nat_int @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3588_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( image_5846123807819985514at_nat @ F @ ( vimage8013328719654469172at_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ A4 @ ( image_5846123807819985514at_nat @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3589_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_nat] :
% 3.29/3.53        ( ( image_int_nat @ F @ ( vimage_int_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_inf_set_nat @ A4 @ ( image_int_nat @ F @ top_top_set_int ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3590_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( image_int_int @ F @ ( vimage_int_int @ F @ A4 ) )
% 3.29/3.53        = ( inf_inf_set_int @ A4 @ ( image_int_int @ F @ top_top_set_int ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3591_image__vimage__eq,axiom,
% 3.29/3.53      ! [F: int > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( image_8883965892284119310at_nat @ F @ ( vimage1827798767263827160at_nat @ F @ A4 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ A4 @ ( image_8883965892284119310at_nat @ F @ top_top_set_int ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_eq
% 3.29/3.53  thf(fact_3592_vimage__comp,axiom,
% 3.29/3.53      ! [F: nat > $o,G: $o > $o,X2: set_o] :
% 3.29/3.53        ( ( vimage_nat_o @ F @ ( vimage_o_o @ G @ X2 ) )
% 3.29/3.53        = ( vimage_nat_o @ ( comp_o_o_nat @ G @ F ) @ X2 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_comp
% 3.29/3.53  thf(fact_3593_vimage__comp,axiom,
% 3.29/3.53      ! [F: int > nat,G: nat > num,X2: set_num] :
% 3.29/3.53        ( ( vimage_int_nat @ F @ ( vimage_nat_num @ G @ X2 ) )
% 3.29/3.53        = ( vimage_int_num @ ( comp_nat_num_int @ G @ F ) @ X2 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_comp
% 3.29/3.53  thf(fact_3594_vimage__comp,axiom,
% 3.29/3.53      ! [F: nat > nat,G: nat > nat,X2: set_nat] :
% 3.29/3.53        ( ( vimage_nat_nat @ F @ ( vimage_nat_nat @ G @ X2 ) )
% 3.29/3.53        = ( vimage_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ X2 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_comp
% 3.29/3.53  thf(fact_3595_vimage__comp,axiom,
% 3.29/3.53      ! [F: int > int,G: int > nat,X2: set_nat] :
% 3.29/3.53        ( ( vimage_int_int @ F @ ( vimage_int_nat @ G @ X2 ) )
% 3.29/3.53        = ( vimage_int_nat @ ( comp_int_nat_int @ G @ F ) @ X2 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_comp
% 3.29/3.53  thf(fact_3596_vimage__comp,axiom,
% 3.29/3.53      ! [F: code_integer > code_integer > code_integer,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,X2: set_Pr4111642102156807771nteger] :
% 3.29/3.53        ( ( vimage6029918387083761651nteger @ F @ ( vimage4289680085338140859nteger @ G @ X2 ) )
% 3.29/3.53        = ( vimage6839621282666897215nteger @ ( comp_C8797469213163452608nteger @ G @ F ) @ X2 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_comp
% 3.29/3.53  thf(fact_3597_set_Ocompositionality,axiom,
% 3.29/3.53      ! [F: nat > $o,G: $o > $o,Set: set_o] :
% 3.29/3.53        ( ( vimage_nat_o @ F @ ( vimage_o_o @ G @ Set ) )
% 3.29/3.53        = ( vimage_nat_o @ ( comp_o_o_nat @ G @ F ) @ Set ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.compositionality
% 3.29/3.53  thf(fact_3598_set_Ocompositionality,axiom,
% 3.29/3.53      ! [F: int > nat,G: nat > num,Set: set_num] :
% 3.29/3.53        ( ( vimage_int_nat @ F @ ( vimage_nat_num @ G @ Set ) )
% 3.29/3.53        = ( vimage_int_num @ ( comp_nat_num_int @ G @ F ) @ Set ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.compositionality
% 3.29/3.53  thf(fact_3599_set_Ocompositionality,axiom,
% 3.29/3.53      ! [F: nat > nat,G: nat > nat,Set: set_nat] :
% 3.29/3.53        ( ( vimage_nat_nat @ F @ ( vimage_nat_nat @ G @ Set ) )
% 3.29/3.53        = ( vimage_nat_nat @ ( comp_nat_nat_nat @ G @ F ) @ Set ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.compositionality
% 3.29/3.53  thf(fact_3600_set_Ocompositionality,axiom,
% 3.29/3.53      ! [F: int > int,G: int > nat,Set: set_nat] :
% 3.29/3.53        ( ( vimage_int_int @ F @ ( vimage_int_nat @ G @ Set ) )
% 3.29/3.53        = ( vimage_int_nat @ ( comp_int_nat_int @ G @ F ) @ Set ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.compositionality
% 3.29/3.53  thf(fact_3601_set_Ocompositionality,axiom,
% 3.29/3.53      ! [F: code_integer > code_integer > code_integer,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,Set: set_Pr4111642102156807771nteger] :
% 3.29/3.53        ( ( vimage6029918387083761651nteger @ F @ ( vimage4289680085338140859nteger @ G @ Set ) )
% 3.29/3.53        = ( vimage6839621282666897215nteger @ ( comp_C8797469213163452608nteger @ G @ F ) @ Set ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.compositionality
% 3.29/3.53  thf(fact_3602_FieldI2,axiom,
% 3.29/3.53      ! [I: produc3843707927480180839at_nat,J4: produc3843707927480180839at_nat,R3: set_Pr5564308138774400199at_nat] :
% 3.29/3.53        ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member8757157785044589968at_nat @ J4 @ ( field_2862844103579723188at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3603_FieldI2,axiom,
% 3.29/3.53      ! [I: product_prod_nat_nat,J4: product_prod_nat_nat,R3: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member8440522571783428010at_nat @ J4 @ ( field_4706345496283612622at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3604_FieldI2,axiom,
% 3.29/3.53      ! [I: $o,J4: $o,R3: set_Product_prod_o_o] :
% 3.29/3.53        ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member_o @ J4 @ ( field_o @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3605_FieldI2,axiom,
% 3.29/3.53      ! [I: set_Pr4329608150637261639at_nat,J4: set_Pr4329608150637261639at_nat,R3: set_Pr7459493094073627847at_nat] :
% 3.29/3.53        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member6273874620674182256at_nat @ J4 @ ( field_1428494348145443988at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3606_FieldI2,axiom,
% 3.29/3.53      ! [I: set_Pr1261947904930325089at_nat,J4: set_Pr1261947904930325089at_nat,R3: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member2643936169264416010at_nat @ J4 @ ( field_3145993188331922222at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3607_FieldI2,axiom,
% 3.29/3.53      ! [I: nat,J4: nat,R3: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member_nat @ J4 @ ( field_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3608_FieldI2,axiom,
% 3.29/3.53      ! [I: int,J4: int,R3: set_Pr958786334691620121nt_int] :
% 3.29/3.53        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member_int @ J4 @ ( field_int @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI2
% 3.29/3.53  thf(fact_3609_FieldI1,axiom,
% 3.29/3.53      ! [I: produc3843707927480180839at_nat,J4: produc3843707927480180839at_nat,R3: set_Pr5564308138774400199at_nat] :
% 3.29/3.53        ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member8757157785044589968at_nat @ I @ ( field_2862844103579723188at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3610_FieldI1,axiom,
% 3.29/3.53      ! [I: product_prod_nat_nat,J4: product_prod_nat_nat,R3: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member8440522571783428010at_nat @ I @ ( field_4706345496283612622at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3611_FieldI1,axiom,
% 3.29/3.53      ! [I: $o,J4: $o,R3: set_Product_prod_o_o] :
% 3.29/3.53        ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member_o @ I @ ( field_o @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3612_FieldI1,axiom,
% 3.29/3.53      ! [I: set_Pr4329608150637261639at_nat,J4: set_Pr4329608150637261639at_nat,R3: set_Pr7459493094073627847at_nat] :
% 3.29/3.53        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member6273874620674182256at_nat @ I @ ( field_1428494348145443988at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3613_FieldI1,axiom,
% 3.29/3.53      ! [I: set_Pr1261947904930325089at_nat,J4: set_Pr1261947904930325089at_nat,R3: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member2643936169264416010at_nat @ I @ ( field_3145993188331922222at_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3614_FieldI1,axiom,
% 3.29/3.53      ! [I: nat,J4: nat,R3: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member_nat @ I @ ( field_nat @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3615_FieldI1,axiom,
% 3.29/3.53      ! [I: int,J4: int,R3: set_Pr958786334691620121nt_int] :
% 3.29/3.53        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ I @ J4 ) @ R3 )
% 3.29/3.53       => ( member_int @ I @ ( field_int @ R3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % FieldI1
% 3.29/3.53  thf(fact_3616_inf__Int__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr7459493094073627847at_nat,S5: set_Pr7459493094073627847at_nat] :
% 3.29/3.53        ( ( inf_in6969519006101653788_nat_o
% 3.29/3.53          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ ( inf_in2456762090751560885at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Int_eq2
% 3.29/3.53  thf(fact_3617_inf__Int__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr4329608150637261639at_nat,S5: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( inf_in6124848772414083356_nat_o
% 3.29/3.53          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ ( inf_in7913087082777306421at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Int_eq2
% 3.29/3.53  thf(fact_3618_inf__Int__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr6200539531224447659at_num,S5: set_Pr6200539531224447659at_num] :
% 3.29/3.53        ( ( inf_inf_nat_num_o
% 3.29/3.53          @ ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ ( inf_in7510916698018314649at_num @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Int_eq2
% 3.29/3.53  thf(fact_3619_inf__Int__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr958786334691620121nt_int,S5: set_Pr958786334691620121nt_int] :
% 3.29/3.53        ( ( inf_inf_int_int_o
% 3.29/3.53          @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ ( inf_in2269163501485487111nt_int @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Int_eq2
% 3.29/3.53  thf(fact_3620_inf__Int__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr1261947904930325089at_nat,S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( inf_inf_nat_nat_o
% 3.29/3.53          @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ ( inf_in2572325071724192079at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inf_Int_eq2
% 3.29/3.53  thf(fact_3621_fun__upd__comp,axiom,
% 3.29/3.53      ! [F: $o > $o,G: nat > $o,X2: nat,Y3: $o] :
% 3.29/3.53        ( ( comp_o_o_nat @ F @ ( fun_upd_nat_o @ G @ X2 @ Y3 ) )
% 3.29/3.53        = ( fun_upd_nat_o @ ( comp_o_o_nat @ F @ G ) @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fun_upd_comp
% 3.29/3.53  thf(fact_3622_fun__upd__comp,axiom,
% 3.29/3.53      ! [F: nat > num,G: int > nat,X2: int,Y3: nat] :
% 3.29/3.53        ( ( comp_nat_num_int @ F @ ( fun_upd_int_nat @ G @ X2 @ Y3 ) )
% 3.29/3.53        = ( fun_upd_int_num @ ( comp_nat_num_int @ F @ G ) @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fun_upd_comp
% 3.29/3.53  thf(fact_3623_fun__upd__comp,axiom,
% 3.29/3.53      ! [F: nat > nat,G: nat > nat,X2: nat,Y3: nat] :
% 3.29/3.53        ( ( comp_nat_nat_nat @ F @ ( fun_upd_nat_nat @ G @ X2 @ Y3 ) )
% 3.29/3.53        = ( fun_upd_nat_nat @ ( comp_nat_nat_nat @ F @ G ) @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fun_upd_comp
% 3.29/3.53  thf(fact_3624_fun__upd__comp,axiom,
% 3.29/3.53      ! [F: int > nat,G: int > int,X2: int,Y3: int] :
% 3.29/3.53        ( ( comp_int_nat_int @ F @ ( fun_upd_int_int @ G @ X2 @ Y3 ) )
% 3.29/3.53        = ( fun_upd_int_nat @ ( comp_int_nat_int @ F @ G ) @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fun_upd_comp
% 3.29/3.53  thf(fact_3625_fun__upd__comp,axiom,
% 3.29/3.53      ! [F: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger,G: code_integer > code_integer > code_integer,X2: code_integer,Y3: code_integer > code_integer] :
% 3.29/3.53        ( ( comp_C8797469213163452608nteger @ F @ ( fun_up8056716234270145717nteger @ G @ X2 @ Y3 ) )
% 3.29/3.53        = ( fun_up8139772397987072257nteger @ ( comp_C8797469213163452608nteger @ F @ G ) @ X2 @ ( F @ Y3 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % fun_upd_comp
% 3.29/3.53  thf(fact_3626_image__vimage__subset,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_rat] : ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ ( vimage_nat_rat @ F @ A4 ) ) @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_subset
% 3.29/3.53  thf(fact_3627_image__vimage__subset,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] : ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ ( vimage_nat_nat @ F @ A4 ) ) @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_subset
% 3.29/3.53  thf(fact_3628_image__vimage__subset,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_int] : ( ord_less_eq_set_int @ ( image_nat_int @ F @ ( vimage_nat_int @ F @ A4 ) ) @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_subset
% 3.29/3.53  thf(fact_3629_image__vimage__subset,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_nat] : ( ord_less_eq_set_nat @ ( image_int_nat @ F @ ( vimage_int_nat @ F @ A4 ) ) @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_subset
% 3.29/3.53  thf(fact_3630_image__vimage__subset,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] : ( ord_less_eq_set_int @ ( image_int_int @ F @ ( vimage_int_int @ F @ A4 ) ) @ A4 ) ).
% 3.29/3.53  
% 3.29/3.53  % image_vimage_subset
% 3.29/3.53  thf(fact_3631_image__subset__iff__subset__vimage,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.53        ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.53        = ( ord_less_eq_set_nat @ A4 @ ( vimage_nat_rat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_subset_iff_subset_vimage
% 3.29/3.53  thf(fact_3632_image__subset__iff__subset__vimage,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.53        = ( ord_less_eq_set_nat @ A4 @ ( vimage_nat_nat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_subset_iff_subset_vimage
% 3.29/3.53  thf(fact_3633_image__subset__iff__subset__vimage,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.53        ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.53        = ( ord_less_eq_set_nat @ A4 @ ( vimage_nat_int @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_subset_iff_subset_vimage
% 3.29/3.53  thf(fact_3634_image__subset__iff__subset__vimage,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.53        ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.53        = ( ord_less_eq_set_int @ A4 @ ( vimage_int_nat @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_subset_iff_subset_vimage
% 3.29/3.53  thf(fact_3635_image__subset__iff__subset__vimage,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.53        ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.53        = ( ord_less_eq_set_int @ A4 @ ( vimage_int_int @ F @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % image_subset_iff_subset_vimage
% 3.29/3.53  thf(fact_3636_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: char > char,A4: set_char] :
% 3.29/3.53        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.53          = top_top_set_char )
% 3.29/3.53       => ( ( image_char_char @ F @ ( vimage_char_char @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3637_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: char > rat,A4: set_rat] :
% 3.29/3.53        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.53          = top_top_set_rat )
% 3.29/3.53       => ( ( image_char_rat @ F @ ( vimage_char_rat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3638_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: char > nat,A4: set_nat] :
% 3.29/3.53        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.53          = top_top_set_nat )
% 3.29/3.53       => ( ( image_char_nat @ F @ ( vimage_char_nat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3639_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: char > int,A4: set_int] :
% 3.29/3.53        ( ( ( image_char_int @ F @ top_top_set_char )
% 3.29/3.53          = top_top_set_int )
% 3.29/3.53       => ( ( image_char_int @ F @ ( vimage_char_int @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3640_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: rat > char,A4: set_char] :
% 3.29/3.53        ( ( ( image_rat_char @ F @ top_top_set_rat )
% 3.29/3.53          = top_top_set_char )
% 3.29/3.53       => ( ( image_rat_char @ F @ ( vimage_rat_char @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3641_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: rat > rat,A4: set_rat] :
% 3.29/3.53        ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.53          = top_top_set_rat )
% 3.29/3.53       => ( ( image_rat_rat @ F @ ( vimage_rat_rat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3642_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: rat > nat,A4: set_nat] :
% 3.29/3.53        ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.53          = top_top_set_nat )
% 3.29/3.53       => ( ( image_rat_nat @ F @ ( vimage_rat_nat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3643_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: rat > int,A4: set_int] :
% 3.29/3.53        ( ( ( image_rat_int @ F @ top_top_set_rat )
% 3.29/3.53          = top_top_set_int )
% 3.29/3.53       => ( ( image_rat_int @ F @ ( vimage_rat_int @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3644_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: nat > char,A4: set_char] :
% 3.29/3.53        ( ( ( image_nat_char @ F @ top_top_set_nat )
% 3.29/3.53          = top_top_set_char )
% 3.29/3.53       => ( ( image_nat_char @ F @ ( vimage_nat_char @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3645_surj__image__vimage__eq,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_rat] :
% 3.29/3.53        ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.53          = top_top_set_rat )
% 3.29/3.53       => ( ( image_nat_rat @ F @ ( vimage_nat_rat @ F @ A4 ) )
% 3.29/3.53          = A4 ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_image_vimage_eq
% 3.29/3.53  thf(fact_3646_bdd__below__image__mono,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_rat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( condit1103211067700513672ow_rat @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_mono
% 3.29/3.53  thf(fact_3647_bdd__below__image__mono,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_nat @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( condit1738341127787009408ow_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_mono
% 3.29/3.53  thf(fact_3648_bdd__below__image__mono,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_int @ F )
% 3.29/3.53       => ( ( condit1738341127787009408ow_nat @ A4 )
% 3.29/3.53         => ( condit1735850657277959132ow_int @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_mono
% 3.29/3.53  thf(fact_3649_bdd__below__image__mono,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( condit1738341127787009408ow_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_mono
% 3.29/3.53  thf(fact_3650_bdd__below__image__mono,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( order_mono_int_int @ F )
% 3.29/3.53       => ( ( condit1735850657277959132ow_int @ A4 )
% 3.29/3.53         => ( condit1735850657277959132ow_int @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_below_image_mono
% 3.29/3.53  thf(fact_3651_bdd__above__image__mono,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_rat @ F )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.53         => ( condit1579696412822616692ve_rat @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_mono
% 3.29/3.53  thf(fact_3652_bdd__above__image__mono,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_nat @ F )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.53         => ( condit2214826472909112428ve_nat @ ( image_nat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_mono
% 3.29/3.53  thf(fact_3653_bdd__above__image__mono,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat] :
% 3.29/3.53        ( ( order_mono_nat_int @ F )
% 3.29/3.53       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.53         => ( condit2212336002400062152ve_int @ ( image_nat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_mono
% 3.29/3.53  thf(fact_3654_bdd__above__image__mono,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int] :
% 3.29/3.53        ( ( order_mono_int_nat @ F )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ A4 )
% 3.29/3.53         => ( condit2214826472909112428ve_nat @ ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_mono
% 3.29/3.53  thf(fact_3655_bdd__above__image__mono,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int] :
% 3.29/3.53        ( ( order_mono_int_int @ F )
% 3.29/3.53       => ( ( condit2212336002400062152ve_int @ A4 )
% 3.29/3.53         => ( condit2212336002400062152ve_int @ ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % bdd_above_image_mono
% 3.29/3.53  thf(fact_3656_sup__Un__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr7459493094073627847at_nat,S5: set_Pr7459493094073627847at_nat] :
% 3.29/3.53        ( ( sup_su6164525874564267778_nat_o
% 3.29/3.53          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: set_Pr4329608150637261639at_nat,Y5: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ ( sup_su5395584912770621083at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Un_eq2
% 3.29/3.53  thf(fact_3657_sup__Un__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr6200539531224447659at_num,S5: set_Pr6200539531224447659at_num] :
% 3.29/3.53        ( ( sup_sup_nat_num_o
% 3.29/3.53          @ ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: nat,Y5: num] : ( member9148766508732265716at_num @ ( product_Pair_nat_num @ X4 @ Y5 ) @ ( sup_su2042722026077122175at_num @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Un_eq2
% 3.29/3.53  thf(fact_3658_sup__Un__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr1261947904930325089at_nat,S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.53        ( ( sup_sup_nat_nat_o
% 3.29/3.53          @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: nat,Y5: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ ( sup_su6327502436637775413at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Un_eq2
% 3.29/3.53  thf(fact_3659_sup__Un__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr958786334691620121nt_int,S5: set_Pr958786334691620121nt_int] :
% 3.29/3.53        ( ( sup_sup_int_int_o
% 3.29/3.53          @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: int,Y5: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ ( sup_su6024340866399070445nt_int @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Un_eq2
% 3.29/3.53  thf(fact_3660_sup__Un__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr8693737435421807431at_nat,S5: set_Pr8693737435421807431at_nat] :
% 3.29/3.53        ( ( sup_su362511073950362882_nat_o
% 3.29/3.53          @ ^ [X4: product_prod_nat_nat,Y5: product_prod_nat_nat] : ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: product_prod_nat_nat,Y5: product_prod_nat_nat] : ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: product_prod_nat_nat,Y5: product_prod_nat_nat] : ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X4 @ Y5 ) @ ( sup_su718114333110466843at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Un_eq2
% 3.29/3.53  thf(fact_3661_sup__Un__eq2,axiom,
% 3.29/3.53      ! [R3: set_Pr4329608150637261639at_nat,S5: set_Pr4329608150637261639at_nat] :
% 3.29/3.53        ( ( sup_su7519161239522478338_nat_o
% 3.29/3.53          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R3 )
% 3.29/3.53          @ ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ S5 ) )
% 3.29/3.53        = ( ^ [X4: set_Pr1261947904930325089at_nat,Y5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ ( sup_su5525570899277871387at_nat @ R3 @ S5 ) ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % sup_Un_eq2
% 3.29/3.53  thf(fact_3662_vimage__Union,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_set_nat] :
% 3.29/3.53        ( ( vimage_nat_nat @ F @ ( comple7399068483239264473et_nat @ A4 ) )
% 3.29/3.53        = ( comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ ( vimage_nat_nat @ F ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_Union
% 3.29/3.53  thf(fact_3663_vimage__Times,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_nat,B5: set_nat] :
% 3.29/3.53        ( ( vimage2449269961533847803at_nat @ F
% 3.29/3.53          @ ( produc457027306803732586at_nat @ A4
% 3.29/3.53            @ ^ [Uu: nat] : B5 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ ( vimage4653281326611754070at_nat @ ( comp_P1567445206330693457at_nat @ product_fst_nat_nat @ F ) @ A4 ) @ ( vimage4653281326611754070at_nat @ ( comp_P1567445206330693457at_nat @ product_snd_nat_nat @ F ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_Times
% 3.29/3.53  thf(fact_3664_vimage__Times,axiom,
% 3.29/3.53      ! [F: product_prod_nat_nat > produc7812382424243267045t_unit,A4: set_ref_a,B5: set_he8644174446132254637t_unit] :
% 3.29/3.53        ( ( vimage4308919176130087787t_unit @ F
% 3.29/3.53          @ ( produc3946373962484743846t_unit @ A4
% 3.29/3.53            @ ^ [Uu: ref_a] : B5 ) )
% 3.29/3.53        = ( inf_in2572325071724192079at_nat @ ( vimage7322659125625010723_ref_a @ ( comp_P7986581389989349338at_nat @ produc473321116828791851t_unit @ F ) @ A4 ) @ ( vimage1024995831485383111t_unit @ ( comp_P6390991081591698364at_nat @ produc1126150082675451753t_unit @ F ) @ B5 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % vimage_Times
% 3.29/3.53  thf(fact_3665_inj__on__fun__updI,axiom,
% 3.29/3.53      ! [F: nat > rat,A4: set_nat,Y3: rat,X2: nat] :
% 3.29/3.53        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_rat @ Y3 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_nat_rat @ ( fun_upd_nat_rat @ F @ X2 @ Y3 ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_fun_updI
% 3.29/3.53  thf(fact_3666_inj__on__fun__updI,axiom,
% 3.29/3.53      ! [F: nat > nat,A4: set_nat,Y3: nat,X2: nat] :
% 3.29/3.53        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_nat @ Y3 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_nat_nat @ ( fun_upd_nat_nat @ F @ X2 @ Y3 ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_fun_updI
% 3.29/3.53  thf(fact_3667_inj__on__fun__updI,axiom,
% 3.29/3.53      ! [F: int > nat,A4: set_int,Y3: nat,X2: int] :
% 3.29/3.53        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_nat @ Y3 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_int_nat @ ( fun_upd_int_nat @ F @ X2 @ Y3 ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_fun_updI
% 3.29/3.53  thf(fact_3668_inj__on__fun__updI,axiom,
% 3.29/3.53      ! [F: nat > int,A4: set_nat,Y3: int,X2: nat] :
% 3.29/3.53        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_int @ Y3 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_nat_int @ ( fun_upd_nat_int @ F @ X2 @ Y3 ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_fun_updI
% 3.29/3.53  thf(fact_3669_inj__on__fun__updI,axiom,
% 3.29/3.53      ! [F: int > int,A4: set_int,Y3: int,X2: int] :
% 3.29/3.53        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.53       => ( ~ ( member_int @ Y3 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.53         => ( inj_on_int_int @ ( fun_upd_int_int @ F @ X2 @ Y3 ) @ A4 ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % inj_on_fun_updI
% 3.29/3.53  thf(fact_3670_set_Ocomp,axiom,
% 3.29/3.53      ! [F: nat > $o,G: $o > $o] :
% 3.29/3.53        ( ( comp_s9189197539837705563_set_o @ ( vimage_nat_o @ F ) @ ( vimage_o_o @ G ) )
% 3.29/3.53        = ( vimage_nat_o @ ( comp_o_o_nat @ G @ F ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.comp
% 3.29/3.53  thf(fact_3671_set_Ocomp,axiom,
% 3.29/3.53      ! [F: int > nat,G: nat > num] :
% 3.29/3.53        ( ( comp_s6458263553158497821et_num @ ( vimage_int_nat @ F ) @ ( vimage_nat_num @ G ) )
% 3.29/3.53        = ( vimage_int_num @ ( comp_nat_num_int @ G @ F ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.comp
% 3.29/3.53  thf(fact_3672_set_Ocomp,axiom,
% 3.29/3.53      ! [F: nat > nat,G: nat > nat] :
% 3.29/3.53        ( ( comp_s8964582002068861047et_nat @ ( vimage_nat_nat @ F ) @ ( vimage_nat_nat @ G ) )
% 3.29/3.53        = ( vimage_nat_nat @ ( comp_nat_nat_nat @ G @ F ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.comp
% 3.29/3.53  thf(fact_3673_set_Ocomp,axiom,
% 3.29/3.53      ! [F: int > int,G: int > nat] :
% 3.29/3.53        ( ( comp_s7717450105097109807et_nat @ ( vimage_int_int @ F ) @ ( vimage_int_nat @ G ) )
% 3.29/3.53        = ( vimage_int_nat @ ( comp_int_nat_int @ G @ F ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.comp
% 3.29/3.53  thf(fact_3674_set_Ocomp,axiom,
% 3.29/3.53      ! [F: code_integer > code_integer > code_integer,G: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger] :
% 3.29/3.53        ( ( comp_s4786119426940707554nteger @ ( vimage6029918387083761651nteger @ F ) @ ( vimage4289680085338140859nteger @ G ) )
% 3.29/3.53        = ( vimage6839621282666897215nteger @ ( comp_C8797469213163452608nteger @ G @ F ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % set.comp
% 3.29/3.53  thf(fact_3675_surj__vimage__empty,axiom,
% 3.29/3.53      ! [F: product_unit > product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( ( image_405062704495631173t_unit @ F @ top_to1996260823553986621t_unit )
% 3.29/3.53          = top_to1996260823553986621t_unit )
% 3.29/3.53       => ( ( ( vimage7995052115951654139t_unit @ F @ A4 )
% 3.29/3.53            = bot_bo3957492148770167129t_unit )
% 3.29/3.53          = ( A4 = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_vimage_empty
% 3.29/3.53  thf(fact_3676_surj__vimage__empty,axiom,
% 3.29/3.53      ! [F: product_unit > $o,A4: set_o] :
% 3.29/3.53        ( ( ( image_Product_unit_o @ F @ top_to1996260823553986621t_unit )
% 3.29/3.53          = top_top_set_o )
% 3.29/3.53       => ( ( ( vimage8808348054653608838unit_o @ F @ A4 )
% 3.29/3.53            = bot_bo3957492148770167129t_unit )
% 3.29/3.53          = ( A4 = bot_bot_set_o ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_vimage_empty
% 3.29/3.53  thf(fact_3677_surj__vimage__empty,axiom,
% 3.29/3.53      ! [F: $o > product_unit,A4: set_Product_unit] :
% 3.29/3.53        ( ( ( image_o_Product_unit @ F @ top_top_set_o )
% 3.29/3.53          = top_to1996260823553986621t_unit )
% 3.29/3.53       => ( ( ( vimage4222377557387472176t_unit @ F @ A4 )
% 3.29/3.53            = bot_bot_set_o )
% 3.29/3.53          = ( A4 = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_vimage_empty
% 3.29/3.53  thf(fact_3678_surj__vimage__empty,axiom,
% 3.29/3.53      ! [F: $o > $o,A4: set_o] :
% 3.29/3.53        ( ( ( image_o_o @ F @ top_top_set_o )
% 3.29/3.53          = top_top_set_o )
% 3.29/3.53       => ( ( ( vimage_o_o @ F @ A4 )
% 3.29/3.53            = bot_bot_set_o )
% 3.29/3.53          = ( A4 = bot_bot_set_o ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_vimage_empty
% 3.29/3.53  thf(fact_3679_surj__vimage__empty,axiom,
% 3.29/3.53      ! [F: product_unit > char,A4: set_char] :
% 3.29/3.53        ( ( ( image_7248553556944771225t_char @ F @ top_to1996260823553986621t_unit )
% 3.29/3.53          = top_top_set_char )
% 3.29/3.53       => ( ( ( vimage2648087219933717859t_char @ F @ A4 )
% 3.29/3.53            = bot_bo3957492148770167129t_unit )
% 3.29/3.53          = ( A4 = bot_bot_set_char ) ) ) ).
% 3.29/3.53  
% 3.29/3.53  % surj_vimage_empty
% 3.29/3.53  thf(fact_3680_surj__vimage__empty,axiom,
% 3.29/3.54      ! [F: $o > char,A4: set_char] :
% 3.29/3.54        ( ( ( image_o_char @ F @ top_top_set_o )
% 3.29/3.54          = top_top_set_char )
% 3.29/3.54       => ( ( ( vimage_o_char @ F @ A4 )
% 3.29/3.54            = bot_bot_set_o )
% 3.29/3.54          = ( A4 = bot_bot_set_char ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_vimage_empty
% 3.29/3.54  thf(fact_3681_surj__vimage__empty,axiom,
% 3.29/3.54      ! [F: product_unit > rat,A4: set_rat] :
% 3.29/3.54        ( ( ( image_240439954468258464it_rat @ F @ top_to1996260823553986621t_unit )
% 3.29/3.54          = top_top_set_rat )
% 3.29/3.54       => ( ( ( vimage5618198413390092650it_rat @ F @ A4 )
% 3.29/3.54            = bot_bo3957492148770167129t_unit )
% 3.29/3.54          = ( A4 = bot_bot_set_rat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_vimage_empty
% 3.29/3.54  thf(fact_3682_surj__vimage__empty,axiom,
% 3.29/3.54      ! [F: $o > rat,A4: set_rat] :
% 3.29/3.54        ( ( ( image_o_rat @ F @ top_top_set_o )
% 3.29/3.54          = top_top_set_rat )
% 3.29/3.54       => ( ( ( vimage_o_rat @ F @ A4 )
% 3.29/3.54            = bot_bot_set_o )
% 3.29/3.54          = ( A4 = bot_bot_set_rat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_vimage_empty
% 3.29/3.54  thf(fact_3683_surj__vimage__empty,axiom,
% 3.29/3.54      ! [F: product_unit > nat,A4: set_nat] :
% 3.29/3.54        ( ( ( image_875570014554754200it_nat @ F @ top_to1996260823553986621t_unit )
% 3.29/3.54          = top_top_set_nat )
% 3.29/3.54       => ( ( ( vimage6253328473476588386it_nat @ F @ A4 )
% 3.29/3.54            = bot_bo3957492148770167129t_unit )
% 3.29/3.54          = ( A4 = bot_bot_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_vimage_empty
% 3.29/3.54  thf(fact_3684_surj__vimage__empty,axiom,
% 3.29/3.54      ! [F: $o > nat,A4: set_nat] :
% 3.29/3.54        ( ( ( image_o_nat @ F @ top_top_set_o )
% 3.29/3.54          = top_top_set_nat )
% 3.29/3.54       => ( ( ( vimage_o_nat @ F @ A4 )
% 3.29/3.54            = bot_bot_set_o )
% 3.29/3.54          = ( A4 = bot_bot_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_vimage_empty
% 3.29/3.54  thf(fact_3685_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: char > char,B5: set_char,A4: set_char] :
% 3.29/3.54        ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.54          = top_top_set_char )
% 3.29/3.54       => ( ( ord_less_eq_set_char @ ( vimage_char_char @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_char @ B5 @ ( image_char_char @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3686_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: char > rat,B5: set_rat,A4: set_char] :
% 3.29/3.54        ( ( ( image_char_rat @ F @ top_top_set_char )
% 3.29/3.54          = top_top_set_rat )
% 3.29/3.54       => ( ( ord_less_eq_set_char @ ( vimage_char_rat @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_rat @ B5 @ ( image_char_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3687_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: char > nat,B5: set_nat,A4: set_char] :
% 3.29/3.54        ( ( ( image_char_nat @ F @ top_top_set_char )
% 3.29/3.54          = top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_char @ ( vimage_char_nat @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_nat @ B5 @ ( image_char_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3688_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: char > int,B5: set_int,A4: set_char] :
% 3.29/3.54        ( ( ( image_char_int @ F @ top_top_set_char )
% 3.29/3.54          = top_top_set_int )
% 3.29/3.54       => ( ( ord_less_eq_set_char @ ( vimage_char_int @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_int @ B5 @ ( image_char_int @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3689_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: rat > char,B5: set_char,A4: set_rat] :
% 3.29/3.54        ( ( ( image_rat_char @ F @ top_top_set_rat )
% 3.29/3.54          = top_top_set_char )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( vimage_rat_char @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_char @ B5 @ ( image_rat_char @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3690_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: rat > rat,B5: set_rat,A4: set_rat] :
% 3.29/3.54        ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.54          = top_top_set_rat )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( vimage_rat_rat @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_rat @ B5 @ ( image_rat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3691_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: rat > nat,B5: set_nat,A4: set_rat] :
% 3.29/3.54        ( ( ( image_rat_nat @ F @ top_top_set_rat )
% 3.29/3.54          = top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( vimage_rat_nat @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_nat @ B5 @ ( image_rat_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3692_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: rat > int,B5: set_int,A4: set_rat] :
% 3.29/3.54        ( ( ( image_rat_int @ F @ top_top_set_rat )
% 3.29/3.54          = top_top_set_int )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( vimage_rat_int @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_int @ B5 @ ( image_rat_int @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3693_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: nat > char,B5: set_char,A4: set_nat] :
% 3.29/3.54        ( ( ( image_nat_char @ F @ top_top_set_nat )
% 3.29/3.54          = top_top_set_char )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( vimage_nat_char @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_char @ B5 @ ( image_nat_char @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3694_vimage__subsetD,axiom,
% 3.29/3.54      ! [F: nat > rat,B5: set_rat,A4: set_nat] :
% 3.29/3.54        ( ( ( image_nat_rat @ F @ top_top_set_nat )
% 3.29/3.54          = top_top_set_rat )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( vimage_nat_rat @ F @ B5 ) @ A4 )
% 3.29/3.54         => ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetD
% 3.29/3.54  thf(fact_3695_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: nat,A4: set_nat,F: nat > set_num] :
% 3.29/3.54        ( ( ( member_nat @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage5436458796434496692at_num @ ( product_Pair_nat_num @ X2 ) @ ( produc6237731129814287028at_num @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_nat @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage5436458796434496692at_num @ ( product_Pair_nat_num @ X2 ) @ ( produc6237731129814287028at_num @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_num ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3696_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > set_int] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage7872673496510460816nt_int @ ( product_Pair_int_int @ X2 ) @ ( produc1453890548195736866nt_int @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage7872673496510460816nt_int @ ( product_Pair_int_int @ X2 ) @ ( produc1453890548195736866nt_int @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_int ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3697_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: $o,A4: set_o,F: $o > set_Product_unit] :
% 3.29/3.54        ( ( ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage508909887551888138t_unit @ ( produc3901946521647900940t_unit @ X2 ) @ ( produc411009820408249917t_unit @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage508909887551888138t_unit @ ( produc3901946521647900940t_unit @ X2 ) @ ( produc411009820408249917t_unit @ A4 @ F ) )
% 3.29/3.54            = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3698_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: nat,A4: set_nat,F: nat > set_Product_unit] :
% 3.29/3.54        ( ( ( member_nat @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage7305857734363866308t_unit @ ( produc3434450474625521892t_unit @ X2 ) @ ( produc5506539147108004339t_unit @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_nat @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage7305857734363866308t_unit @ ( produc3434450474625521892t_unit @ X2 ) @ ( produc5506539147108004339t_unit @ A4 @ F ) )
% 3.29/3.54            = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3699_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > set_Product_unit] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage4422279681566046568t_unit @ ( produc550872421827702152t_unit @ X2 ) @ ( produc2622961094310184599t_unit @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage4422279681566046568t_unit @ ( produc550872421827702152t_unit @ X2 ) @ ( produc2622961094310184599t_unit @ A4 @ F ) )
% 3.29/3.54            = bot_bo3957492148770167129t_unit ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3700_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: $o,A4: set_o,F: $o > set_o] :
% 3.29/3.54        ( ( ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage8945963521958007626od_o_o @ ( product_Pair_o_o @ X2 ) @ ( product_Sigma_o_o @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage8945963521958007626od_o_o @ ( product_Pair_o_o @ X2 ) @ ( product_Sigma_o_o @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_o ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3701_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: nat,A4: set_nat,F: nat > set_o] :
% 3.29/3.54        ( ( ( member_nat @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage6125388955539849434_nat_o @ ( product_Pair_nat_o @ X2 ) @ ( product_Sigma_nat_o @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_nat @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage6125388955539849434_nat_o @ ( product_Pair_nat_o @ X2 ) @ ( product_Sigma_nat_o @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_o ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3702_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > set_o] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage4304346610107161470_int_o @ ( product_Pair_int_o @ X2 ) @ ( product_Sigma_int_o @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage4304346610107161470_int_o @ ( product_Pair_int_o @ X2 ) @ ( product_Sigma_int_o @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_o ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3703_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: $o,A4: set_o,F: $o > set_nat] :
% 3.29/3.54        ( ( ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage5656379182745576100_o_nat @ ( product_Pair_o_nat @ X2 ) @ ( product_Sigma_o_nat @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage5656379182745576100_o_nat @ ( product_Pair_o_nat @ X2 ) @ ( product_Sigma_o_nat @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3704_Pair__vimage__Sigma,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > set_nat] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage9012682431555523728nt_nat @ ( product_Pair_int_nat @ X2 ) @ ( produc1456381018704787142nt_nat @ A4 @ F ) )
% 3.29/3.54            = ( F @ X2 ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( vimage9012682431555523728nt_nat @ ( product_Pair_int_nat @ X2 ) @ ( produc1456381018704787142nt_nat @ A4 @ F ) )
% 3.29/3.54            = bot_bot_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pair_vimage_Sigma
% 3.29/3.54  thf(fact_3705_inj__vimage__image__eq,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( vimage_nat_rat @ F @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54          = A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_vimage_image_eq
% 3.29/3.54  thf(fact_3706_inj__vimage__image__eq,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( vimage_nat_nat @ F @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54          = A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_vimage_image_eq
% 3.29/3.54  thf(fact_3707_inj__vimage__image__eq,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( vimage_nat_int @ F @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54          = A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_vimage_image_eq
% 3.29/3.54  thf(fact_3708_inj__vimage__image__eq,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.54       => ( ( vimage_int_nat @ F @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54          = A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_vimage_image_eq
% 3.29/3.54  thf(fact_3709_inj__vimage__image__eq,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.54       => ( ( vimage_int_int @ F @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54          = A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_vimage_image_eq
% 3.29/3.54  thf(fact_3710_inj__graph,axiom,
% 3.29/3.54      ( inj_on3412903767820855855at_nat
% 3.29/3.54      @ ^ [F2: nat > nat] :
% 3.29/3.54          ( collec3392354462482085612at_nat
% 3.29/3.54          @ ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( Y5
% 3.29/3.54                = ( F2 @ X4 ) ) ) )
% 3.29/3.54      @ top_top_set_nat_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_graph
% 3.29/3.54  thf(fact_3711_inj__graph,axiom,
% 3.29/3.54      ( inj_on7039184780174133295nt_int
% 3.29/3.54      @ ^ [F2: int > int] :
% 3.29/3.54          ( collec213857154873943460nt_int
% 3.29/3.54          @ ( produc4947309494688390418_int_o
% 3.29/3.54            @ ^ [X4: int,Y5: int] :
% 3.29/3.54                ( Y5
% 3.29/3.54                = ( F2 @ X4 ) ) ) )
% 3.29/3.54      @ top_top_set_int_int ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_graph
% 3.29/3.54  thf(fact_3712_f__the__inv__into__f,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,Y3: rat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( member_rat @ Y3 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ( ( F @ ( the_inv_into_nat_rat @ A4 @ F @ Y3 ) )
% 3.29/3.54            = Y3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % f_the_inv_into_f
% 3.29/3.54  thf(fact_3713_f__the__inv__into__f,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,Y3: nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( member_nat @ Y3 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ( ( F @ ( the_inv_into_nat_nat @ A4 @ F @ Y3 ) )
% 3.29/3.54            = Y3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % f_the_inv_into_f
% 3.29/3.54  thf(fact_3714_f__the__inv__into__f,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,Y3: nat] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( member_nat @ Y3 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ( ( F @ ( the_inv_into_int_nat @ A4 @ F @ Y3 ) )
% 3.29/3.54            = Y3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % f_the_inv_into_f
% 3.29/3.54  thf(fact_3715_f__the__inv__into__f,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,Y3: int] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( member_int @ Y3 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ( ( F @ ( the_inv_into_nat_int @ A4 @ F @ Y3 ) )
% 3.29/3.54            = Y3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % f_the_inv_into_f
% 3.29/3.54  thf(fact_3716_f__the__inv__into__f,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,Y3: int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( member_int @ Y3 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ( ( F @ ( the_inv_into_int_int @ A4 @ F @ Y3 ) )
% 3.29/3.54            = Y3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % f_the_inv_into_f
% 3.29/3.54  thf(fact_3717_inj__on__the__inv__into,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( inj_on_rat_nat @ ( the_inv_into_nat_rat @ A4 @ F ) @ ( image_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_the_inv_into
% 3.29/3.54  thf(fact_3718_inj__on__the__inv__into,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( inj_on_nat_nat @ ( the_inv_into_nat_nat @ A4 @ F ) @ ( image_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_the_inv_into
% 3.29/3.54  thf(fact_3719_inj__on__the__inv__into,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( inj_on_int_nat @ ( the_inv_into_nat_int @ A4 @ F ) @ ( image_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_the_inv_into
% 3.29/3.54  thf(fact_3720_inj__on__the__inv__into,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( inj_on_nat_int @ ( the_inv_into_int_nat @ A4 @ F ) @ ( image_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_the_inv_into
% 3.29/3.54  thf(fact_3721_inj__on__the__inv__into,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( inj_on_int_int @ ( the_inv_into_int_int @ A4 @ F ) @ ( image_int_int @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_the_inv_into
% 3.29/3.54  thf(fact_3722_vimage__fst,axiom,
% 3.29/3.54      ! [A4: set_ref_a] :
% 3.29/3.54        ( ( vimage2910454108108208703_ref_a @ produc473321116828791851t_unit @ A4 )
% 3.29/3.54        = ( produc3946373962484743846t_unit @ A4
% 3.29/3.54          @ ^ [Uu: ref_a] : top_to3956321331435058429t_unit ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_fst
% 3.29/3.54  thf(fact_3723_vimage__fst,axiom,
% 3.29/3.54      ! [A4: set_nat] :
% 3.29/3.54        ( ( vimage4653281326611754070at_nat @ product_fst_nat_nat @ A4 )
% 3.29/3.54        = ( produc457027306803732586at_nat @ A4
% 3.29/3.54          @ ^ [Uu: nat] : top_top_set_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_fst
% 3.29/3.54  thf(fact_3724_vimage__snd,axiom,
% 3.29/3.54      ! [A4: set_he8644174446132254637t_unit] :
% 3.29/3.54        ( ( vimage6116673589273818795t_unit @ produc1126150082675451753t_unit @ A4 )
% 3.29/3.54        = ( produc3946373962484743846t_unit @ top_top_set_ref_a
% 3.29/3.54          @ ^ [Uu: ref_a] : A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_snd
% 3.29/3.54  thf(fact_3725_vimage__snd,axiom,
% 3.29/3.54      ! [A4: set_nat] :
% 3.29/3.54        ( ( vimage4653281326611754070at_nat @ product_snd_nat_nat @ A4 )
% 3.29/3.54        = ( produc457027306803732586at_nat @ top_top_set_nat
% 3.29/3.54          @ ^ [Uu: nat] : A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_snd
% 3.29/3.54  thf(fact_3726_mono__Sup,axiom,
% 3.29/3.54      ! [F: set_nat > set_nat,A4: set_set_nat] :
% 3.29/3.54        ( ( order_1005506198798982270et_nat @ F )
% 3.29/3.54       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_7916887816326733075et_nat @ F @ A4 ) ) @ ( F @ ( comple7399068483239264473et_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Sup
% 3.29/3.54  thf(fact_3727_mono__Sup,axiom,
% 3.29/3.54      ! [F: product_unit > set_nat,A4: set_Product_unit] :
% 3.29/3.54        ( ( order_509894322932672675et_nat @ F )
% 3.29/3.54       => ( ord_less_eq_set_nat @ ( comple7399068483239264473et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) @ ( F @ ( comple4687483117567863418t_unit @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Sup
% 3.29/3.54  thf(fact_3728_mono__Sup,axiom,
% 3.29/3.54      ! [F: set_nat > product_unit,A4: set_set_nat] :
% 3.29/3.54        ( ( order_7928700340835332885t_unit @ F )
% 3.29/3.54       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_6369283972875870912t_unit @ F @ A4 ) ) @ ( F @ ( comple7399068483239264473et_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Sup
% 3.29/3.54  thf(fact_3729_mono__Sup,axiom,
% 3.29/3.54      ! [F: product_unit > product_unit,A4: set_Product_unit] :
% 3.29/3.54        ( ( order_4454465170704313136t_unit @ F )
% 3.29/3.54       => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) @ ( F @ ( comple4687483117567863418t_unit @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Sup
% 3.29/3.54  thf(fact_3730_mono__Inf,axiom,
% 3.29/3.54      ! [F: set_nat > set_nat,A4: set_set_nat] :
% 3.29/3.54        ( ( order_1005506198798982270et_nat @ F )
% 3.29/3.54       => ( ord_less_eq_set_nat @ ( F @ ( comple7806235888213564991et_nat @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_7916887816326733075et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Inf
% 3.29/3.54  thf(fact_3731_mono__Inf,axiom,
% 3.29/3.54      ! [F: set_nat > product_unit,A4: set_set_nat] :
% 3.29/3.54        ( ( order_7928700340835332885t_unit @ F )
% 3.29/3.54       => ( ord_le3221252021190050221t_unit @ ( F @ ( comple7806235888213564991et_nat @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_6369283972875870912t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Inf
% 3.29/3.54  thf(fact_3732_mono__Inf,axiom,
% 3.29/3.54      ! [F: product_unit > set_nat,A4: set_Product_unit] :
% 3.29/3.54        ( ( order_509894322932672675et_nat @ F )
% 3.29/3.54       => ( ord_less_eq_set_nat @ ( F @ ( comple2584293577114468500t_unit @ A4 ) ) @ ( comple7806235888213564991et_nat @ ( image_8173849991827986510et_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Inf
% 3.29/3.54  thf(fact_3733_mono__Inf,axiom,
% 3.29/3.54      ! [F: product_unit > product_unit,A4: set_Product_unit] :
% 3.29/3.54        ( ( order_4454465170704313136t_unit @ F )
% 3.29/3.54       => ( ord_le3221252021190050221t_unit @ ( F @ ( comple2584293577114468500t_unit @ A4 ) ) @ ( comple2584293577114468500t_unit @ ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_Inf
% 3.29/3.54  thf(fact_3734_Pow__insert,axiom,
% 3.29/3.54      ! [A: nat,A4: set_nat] :
% 3.29/3.54        ( ( pow_nat @ ( insert_nat @ A @ A4 ) )
% 3.29/3.54        = ( sup_sup_set_set_nat @ ( pow_nat @ A4 ) @ ( image_7916887816326733075et_nat @ ( insert_nat @ A ) @ ( pow_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pow_insert
% 3.29/3.54  thf(fact_3735_Pow__insert,axiom,
% 3.29/3.54      ! [A: product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( pow_Pr3466873192417945886at_nat @ ( insert8211810215607154385at_nat @ A @ A4 ) )
% 3.29/3.54        = ( sup_su3642409539654194069at_nat @ ( pow_Pr3466873192417945886at_nat @ A4 ) @ ( image_3684629450409544005at_nat @ ( insert8211810215607154385at_nat @ A ) @ ( pow_Pr3466873192417945886at_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pow_insert
% 3.29/3.54  thf(fact_3736_Pow__insert,axiom,
% 3.29/3.54      ! [A: produc3843707927480180839at_nat,A4: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( pow_Pr1023649790151954692at_nat @ ( insert9069300056098147895at_nat @ A @ A4 ) )
% 3.29/3.54        = ( sup_su474284620922681339at_nat @ ( pow_Pr1023649790151954692at_nat @ A4 ) @ ( image_4303274092540115909at_nat @ ( insert9069300056098147895at_nat @ A ) @ ( pow_Pr1023649790151954692at_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pow_insert
% 3.29/3.54  thf(fact_3737_Pow__insert,axiom,
% 3.29/3.54      ! [A: product_unit,A4: set_Product_unit] :
% 3.29/3.54        ( ( pow_Product_unit @ ( insert_Product_unit @ A @ A4 ) )
% 3.29/3.54        = ( sup_su5975557051335651745t_unit @ ( pow_Product_unit @ A4 ) @ ( image_4019945301284682565t_unit @ ( insert_Product_unit @ A ) @ ( pow_Product_unit @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pow_insert
% 3.29/3.54  thf(fact_3738_Pow__insert,axiom,
% 3.29/3.54      ! [A: $o,A4: set_o] :
% 3.29/3.54        ( ( pow_o @ ( insert_o @ A @ A4 ) )
% 3.29/3.54        = ( sup_sup_set_set_o @ ( pow_o @ A4 ) @ ( image_set_o_set_o @ ( insert_o @ A ) @ ( pow_o @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Pow_insert
% 3.29/3.54  thf(fact_3739_vimage__subsetI,axiom,
% 3.29/3.54      ! [F: nat > rat,B5: set_rat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_set_nat @ ( vimage_nat_rat @ F @ B5 ) @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetI
% 3.29/3.54  thf(fact_3740_vimage__subsetI,axiom,
% 3.29/3.54      ! [F: nat > nat,B5: set_nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_set_nat @ ( vimage_nat_nat @ F @ B5 ) @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetI
% 3.29/3.54  thf(fact_3741_vimage__subsetI,axiom,
% 3.29/3.54      ! [F: nat > int,B5: set_int,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_set_nat @ ( vimage_nat_int @ F @ B5 ) @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetI
% 3.29/3.54  thf(fact_3742_vimage__subsetI,axiom,
% 3.29/3.54      ! [F: int > nat,B5: set_nat,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_set_int @ ( vimage_int_nat @ F @ B5 ) @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetI
% 3.29/3.54  thf(fact_3743_vimage__subsetI,axiom,
% 3.29/3.54      ! [F: int > int,B5: set_int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_set_int @ ( vimage_int_int @ F @ B5 ) @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_subsetI
% 3.29/3.54  thf(fact_3744_vimage__eq__UN,axiom,
% 3.29/3.54      ( vimage4884490618288580032t_unit
% 3.29/3.54      = ( ^ [F2: nat > product_unit,B6: set_Product_unit] :
% 3.29/3.54            ( comple7399068483239264473et_nat
% 3.29/3.54            @ ( image_8173849991827986510et_nat
% 3.29/3.54              @ ^ [Y5: product_unit] : ( vimage4884490618288580032t_unit @ F2 @ ( insert_Product_unit @ Y5 @ bot_bo3957492148770167129t_unit ) )
% 3.29/3.54              @ B6 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_eq_UN
% 3.29/3.54  thf(fact_3745_vimage__eq__UN,axiom,
% 3.29/3.54      ( vimage6435164912253009178at_nat
% 3.29/3.54      = ( ^ [F2: nat > produc3843707927480180839at_nat,B6: set_Pr4329608150637261639at_nat] :
% 3.29/3.54            ( comple7399068483239264473et_nat
% 3.29/3.54            @ ( image_3160451284896210088et_nat
% 3.29/3.54              @ ^ [Y5: produc3843707927480180839at_nat] : ( vimage6435164912253009178at_nat @ F2 @ ( insert9069300056098147895at_nat @ Y5 @ bot_bo228742789529271731at_nat ) )
% 3.29/3.54              @ B6 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_eq_UN
% 3.29/3.54  thf(fact_3746_vimage__eq__UN,axiom,
% 3.29/3.54      ( vimage8013328719654469172at_nat
% 3.29/3.54      = ( ^ [F2: nat > product_prod_nat_nat,B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54            ( comple7399068483239264473et_nat
% 3.29/3.54            @ ( image_15824709712370754et_nat
% 3.29/3.54              @ ^ [Y5: product_prod_nat_nat] : ( vimage8013328719654469172at_nat @ F2 @ ( insert8211810215607154385at_nat @ Y5 @ bot_bo2099793752762293965at_nat ) )
% 3.29/3.54              @ B6 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_eq_UN
% 3.29/3.54  thf(fact_3747_vimage__eq__UN,axiom,
% 3.29/3.54      ( vimage_nat_o
% 3.29/3.54      = ( ^ [F2: nat > $o,B6: set_o] :
% 3.29/3.54            ( comple7399068483239264473et_nat
% 3.29/3.54            @ ( image_o_set_nat
% 3.29/3.54              @ ^ [Y5: $o] : ( vimage_nat_o @ F2 @ ( insert_o @ Y5 @ bot_bot_set_o ) )
% 3.29/3.54              @ B6 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_eq_UN
% 3.29/3.54  thf(fact_3748_vimage__eq__UN,axiom,
% 3.29/3.54      ( vimage_nat_nat
% 3.29/3.54      = ( ^ [F2: nat > nat,B6: set_nat] :
% 3.29/3.54            ( comple7399068483239264473et_nat
% 3.29/3.54            @ ( image_nat_set_nat
% 3.29/3.54              @ ^ [Y5: nat] : ( vimage_nat_nat @ F2 @ ( insert_nat @ Y5 @ bot_bot_set_nat ) )
% 3.29/3.54              @ B6 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % vimage_eq_UN
% 3.29/3.54  thf(fact_3749_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,X2: rat,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( member_rat @ X2 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.54           => ( member_nat @ ( the_inv_into_nat_rat @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3750_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: $o > $o,A4: set_o,X2: $o,B5: set_o] :
% 3.29/3.54        ( ( inj_on_o_o @ F @ A4 )
% 3.29/3.54       => ( ( member_o @ X2 @ ( image_o_o @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.54           => ( member_o @ ( the_inv_into_o_o @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3751_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: nat > $o,A4: set_nat,X2: $o,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_o @ F @ A4 )
% 3.29/3.54       => ( ( member_o @ X2 @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.54           => ( member_nat @ ( the_inv_into_nat_o @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3752_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: int > $o,A4: set_int,X2: $o,B5: set_int] :
% 3.29/3.54        ( ( inj_on_int_o @ F @ A4 )
% 3.29/3.54       => ( ( member_o @ X2 @ ( image_int_o @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.54           => ( member_int @ ( the_inv_into_int_o @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3753_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: $o > nat,A4: set_o,X2: nat,B5: set_o] :
% 3.29/3.54        ( ( inj_on_o_nat @ F @ A4 )
% 3.29/3.54       => ( ( member_nat @ X2 @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.54           => ( member_o @ ( the_inv_into_o_nat @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3754_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,X2: nat,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( member_nat @ X2 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.54           => ( member_nat @ ( the_inv_into_nat_nat @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3755_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,X2: nat,B5: set_int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( member_nat @ X2 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.54           => ( member_int @ ( the_inv_into_int_nat @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3756_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: $o > int,A4: set_o,X2: int,B5: set_o] :
% 3.29/3.54        ( ( inj_on_o_int @ F @ A4 )
% 3.29/3.54       => ( ( member_int @ X2 @ ( image_o_int @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_o @ A4 @ B5 )
% 3.29/3.54           => ( member_o @ ( the_inv_into_o_int @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3757_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,X2: int,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( member_int @ X2 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ A4 @ B5 )
% 3.29/3.54           => ( member_nat @ ( the_inv_into_nat_int @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3758_the__inv__into__into,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,X2: int,B5: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( member_int @ X2 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ A4 @ B5 )
% 3.29/3.54           => ( member_int @ ( the_inv_into_int_int @ A4 @ F @ X2 ) @ B5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_into
% 3.29/3.54  thf(fact_3759_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: nat > rat,G: nat > nat,A4: set_nat,X2: rat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_nat @ G @ A4 )
% 3.29/3.54         => ( ( member_rat @ X2 @ ( image_nat_rat @ F @ ( image_nat_nat @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_nat_rat @ A4 @ ( comp_nat_rat_nat @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_nat_nat_rat @ ( the_inv_into_nat_nat @ A4 @ G ) @ ( the_inv_into_nat_rat @ ( image_nat_nat @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3760_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: nat > num,G: int > nat,A4: set_int,X2: num] :
% 3.29/3.54        ( ( inj_on_nat_num @ F @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_int_nat @ G @ A4 )
% 3.29/3.54         => ( ( member_num @ X2 @ ( image_nat_num @ F @ ( image_int_nat @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_int_num @ A4 @ ( comp_nat_num_int @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_nat_int_num @ ( the_inv_into_int_nat @ A4 @ G ) @ ( the_inv_into_nat_num @ ( image_int_nat @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3761_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: nat > rat,G: int > nat,A4: set_int,X2: rat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_int_nat @ G @ A4 )
% 3.29/3.54         => ( ( member_rat @ X2 @ ( image_nat_rat @ F @ ( image_int_nat @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_int_rat @ A4 @ ( comp_nat_rat_int @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_nat_int_rat @ ( the_inv_into_int_nat @ A4 @ G ) @ ( the_inv_into_nat_rat @ ( image_int_nat @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3762_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: $o > $o,G: nat > $o,A4: set_nat,X2: $o] :
% 3.29/3.54        ( ( inj_on_o_o @ F @ ( image_nat_o @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_o @ G @ A4 )
% 3.29/3.54         => ( ( member_o @ X2 @ ( image_o_o @ F @ ( image_nat_o @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_nat_o @ A4 @ ( comp_o_o_nat @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_o_nat_o @ ( the_inv_into_nat_o @ A4 @ G ) @ ( the_inv_into_o_o @ ( image_nat_o @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3763_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: rat > $o,G: nat > rat,A4: set_nat,X2: $o] :
% 3.29/3.54        ( ( inj_on_rat_o @ F @ ( image_nat_rat @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_rat @ G @ A4 )
% 3.29/3.54         => ( ( member_o @ X2 @ ( image_rat_o @ F @ ( image_nat_rat @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_nat_o @ A4 @ ( comp_rat_o_nat @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_rat_nat_o @ ( the_inv_into_nat_rat @ A4 @ G ) @ ( the_inv_into_rat_o @ ( image_nat_rat @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3764_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: nat > $o,G: nat > nat,A4: set_nat,X2: $o] :
% 3.29/3.54        ( ( inj_on_nat_o @ F @ ( image_nat_nat @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_nat @ G @ A4 )
% 3.29/3.54         => ( ( member_o @ X2 @ ( image_nat_o @ F @ ( image_nat_nat @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_nat_o @ A4 @ ( comp_nat_o_nat @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_nat_nat_o @ ( the_inv_into_nat_nat @ A4 @ G ) @ ( the_inv_into_nat_o @ ( image_nat_nat @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3765_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: int > $o,G: nat > int,A4: set_nat,X2: $o] :
% 3.29/3.54        ( ( inj_on_int_o @ F @ ( image_nat_int @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_int @ G @ A4 )
% 3.29/3.54         => ( ( member_o @ X2 @ ( image_int_o @ F @ ( image_nat_int @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_nat_o @ A4 @ ( comp_int_o_nat @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_int_nat_o @ ( the_inv_into_nat_int @ A4 @ G ) @ ( the_inv_into_int_o @ ( image_nat_int @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3766_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: nat > $o,G: int > nat,A4: set_int,X2: $o] :
% 3.29/3.54        ( ( inj_on_nat_o @ F @ ( image_int_nat @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_int_nat @ G @ A4 )
% 3.29/3.54         => ( ( member_o @ X2 @ ( image_nat_o @ F @ ( image_int_nat @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_int_o @ A4 @ ( comp_nat_o_int @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_nat_int_o @ ( the_inv_into_int_nat @ A4 @ G ) @ ( the_inv_into_nat_o @ ( image_int_nat @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3767_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: int > $o,G: int > int,A4: set_int,X2: $o] :
% 3.29/3.54        ( ( inj_on_int_o @ F @ ( image_int_int @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_int_int @ G @ A4 )
% 3.29/3.54         => ( ( member_o @ X2 @ ( image_int_o @ F @ ( image_int_int @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_int_o @ A4 @ ( comp_int_o_int @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_int_int_o @ ( the_inv_into_int_int @ A4 @ G ) @ ( the_inv_into_int_o @ ( image_int_int @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3768_the__inv__into__comp,axiom,
% 3.29/3.54      ! [F: $o > nat,G: $o > $o,A4: set_o,X2: nat] :
% 3.29/3.54        ( ( inj_on_o_nat @ F @ ( image_o_o @ G @ A4 ) )
% 3.29/3.54       => ( ( inj_on_o_o @ G @ A4 )
% 3.29/3.54         => ( ( member_nat @ X2 @ ( image_o_nat @ F @ ( image_o_o @ G @ A4 ) ) )
% 3.29/3.54           => ( ( the_inv_into_o_nat @ A4 @ ( comp_o_nat_o @ F @ G ) @ X2 )
% 3.29/3.54              = ( comp_o_o_nat @ ( the_inv_into_o_o @ A4 @ G ) @ ( the_inv_into_o_nat @ ( image_o_o @ G @ A4 ) @ F ) @ X2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % the_inv_into_comp
% 3.29/3.54  thf(fact_3769_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > int,Y3: int] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_int_int @ ( fun_upd_int_int @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_int @ Y3 @ ( image_int_int @ F @ ( minus_minus_set_int @ A4 @ ( insert_int @ X2 @ bot_bot_set_int ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_int_int @ ( fun_upd_int_int @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_int_int @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3770_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > nat,Y3: nat] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_int_nat @ ( fun_upd_int_nat @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_nat @ Y3 @ ( image_int_nat @ F @ ( minus_minus_set_int @ A4 @ ( insert_int @ X2 @ bot_bot_set_int ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_int_nat @ ( fun_upd_int_nat @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_int_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3771_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > product_unit,Y3: product_unit] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_5846526143423701914t_unit @ ( fun_up2220634978854545698t_unit @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_Product_unit @ Y3 @ ( image_5846526143423701914t_unit @ F @ ( minus_minus_set_int @ A4 @ ( insert_int @ X2 @ bot_bot_set_int ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_5846526143423701914t_unit @ ( fun_up2220634978854545698t_unit @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_5846526143423701914t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3772_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: int,A4: set_int,F: int > $o,Y3: $o] :
% 3.29/3.54        ( ( ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_int_o @ ( fun_upd_int_o @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_o @ Y3 @ ( image_int_o @ F @ ( minus_minus_set_int @ A4 @ ( insert_int @ X2 @ bot_bot_set_int ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_int @ X2 @ A4 )
% 3.29/3.54         => ( ( image_int_o @ ( fun_upd_int_o @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_int_o @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3773_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: product_unit,A4: set_Product_unit,F: product_unit > nat,Y3: nat] :
% 3.29/3.54        ( ( ( member_Product_unit @ X2 @ A4 )
% 3.29/3.54         => ( ( image_875570014554754200it_nat @ ( fun_up6473050886840373792it_nat @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_nat @ Y3 @ ( image_875570014554754200it_nat @ F @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_Product_unit @ X2 @ A4 )
% 3.29/3.54         => ( ( image_875570014554754200it_nat @ ( fun_up6473050886840373792it_nat @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_875570014554754200it_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3774_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: product_unit,A4: set_Product_unit,F: product_unit > product_unit,Y3: product_unit] :
% 3.29/3.54        ( ( ( member_Product_unit @ X2 @ A4 )
% 3.29/3.54         => ( ( image_405062704495631173t_unit @ ( fun_up6875000483049295805t_unit @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_Product_unit @ Y3 @ ( image_405062704495631173t_unit @ F @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_Product_unit @ X2 @ A4 )
% 3.29/3.54         => ( ( image_405062704495631173t_unit @ ( fun_up6875000483049295805t_unit @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_405062704495631173t_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3775_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: product_unit,A4: set_Product_unit,F: product_unit > $o,Y3: $o] :
% 3.29/3.54        ( ( ( member_Product_unit @ X2 @ A4 )
% 3.29/3.54         => ( ( image_Product_unit_o @ ( fun_up5432024876597553480unit_o @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_o @ Y3 @ ( image_Product_unit_o @ F @ ( minus_6452836326544984404t_unit @ A4 @ ( insert_Product_unit @ X2 @ bot_bo3957492148770167129t_unit ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_Product_unit @ X2 @ A4 )
% 3.29/3.54         => ( ( image_Product_unit_o @ ( fun_up5432024876597553480unit_o @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_Product_unit_o @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3776_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: $o,A4: set_o,F: $o > nat,Y3: nat] :
% 3.29/3.54        ( ( ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( image_o_nat @ ( fun_upd_o_nat @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_nat @ Y3 @ ( image_o_nat @ F @ ( minus_minus_set_o @ A4 @ ( insert_o @ X2 @ bot_bot_set_o ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( image_o_nat @ ( fun_upd_o_nat @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_o_nat @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3777_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: $o,A4: set_o,F: $o > product_unit,Y3: product_unit] :
% 3.29/3.54        ( ( ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( image_o_Product_unit @ ( fun_up846054379331416818t_unit @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_Product_unit @ Y3 @ ( image_o_Product_unit @ F @ ( minus_minus_set_o @ A4 @ ( insert_o @ X2 @ bot_bot_set_o ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( image_o_Product_unit @ ( fun_up846054379331416818t_unit @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_o_Product_unit @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3778_fun__upd__image,axiom,
% 3.29/3.54      ! [X2: $o,A4: set_o,F: $o > $o,Y3: $o] :
% 3.29/3.54        ( ( ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( image_o_o @ ( fun_upd_o_o @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( insert_o @ Y3 @ ( image_o_o @ F @ ( minus_minus_set_o @ A4 @ ( insert_o @ X2 @ bot_bot_set_o ) ) ) ) ) )
% 3.29/3.54        & ( ~ ( member_o @ X2 @ A4 )
% 3.29/3.54         => ( ( image_o_o @ ( fun_upd_o_o @ F @ X2 @ Y3 ) @ A4 )
% 3.29/3.54            = ( image_o_o @ F @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % fun_upd_image
% 3.29/3.54  thf(fact_3779_mono__cSUP,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: int > nat,I3: set_int] :
% 3.29/3.54        ( ( order_mono_nat_nat @ F )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ ( image_int_nat @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_int )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_int_nat
% 3.29/3.54                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( complete_Sup_Sup_nat @ ( image_int_nat @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3780_mono__cSUP,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: nat > nat,I3: set_nat] :
% 3.29/3.54        ( ( order_mono_nat_nat @ F )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ ( image_nat_nat @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_nat_nat
% 3.29/3.54                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3781_mono__cSUP,axiom,
% 3.29/3.54      ! [F: int > nat,A4: int > int,I3: set_int] :
% 3.29/3.54        ( ( order_mono_int_nat @ F )
% 3.29/3.54       => ( ( condit2212336002400062152ve_int @ ( image_int_int @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_int )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_int_nat
% 3.29/3.54                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( complete_Sup_Sup_int @ ( image_int_int @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3782_mono__cSUP,axiom,
% 3.29/3.54      ! [F: int > nat,A4: product_unit > int,I3: set_Product_unit] :
% 3.29/3.54        ( ( order_mono_int_nat @ F )
% 3.29/3.54       => ( ( condit2212336002400062152ve_int @ ( image_873079544045703924it_int @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_875570014554754200it_nat
% 3.29/3.54                  @ ^ [X4: product_unit] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3783_mono__cSUP,axiom,
% 3.29/3.54      ! [F: int > nat,A4: $o > int,I3: set_o] :
% 3.29/3.54        ( ( order_mono_int_nat @ F )
% 3.29/3.54       => ( ( condit2212336002400062152ve_int @ ( image_o_int @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_o )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_o_nat
% 3.29/3.54                  @ ^ [X4: $o] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( complete_Sup_Sup_int @ ( image_o_int @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3784_mono__cSUP,axiom,
% 3.29/3.54      ! [F: int > nat,A4: nat > int,I3: set_nat] :
% 3.29/3.54        ( ( order_mono_int_nat @ F )
% 3.29/3.54       => ( ( condit2212336002400062152ve_int @ ( image_nat_int @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_nat_nat
% 3.29/3.54                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( complete_Sup_Sup_int @ ( image_nat_int @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3785_mono__cSUP,axiom,
% 3.29/3.54      ! [F: product_unit > nat,A4: int > product_unit,I3: set_int] :
% 3.29/3.54        ( ( order_7096114683908731117it_nat @ F )
% 3.29/3.54       => ( ( condit2080475194861589617t_unit @ ( image_5846526143423701914t_unit @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_int )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_int_nat
% 3.29/3.54                  @ ^ [X4: int] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( comple4687483117567863418t_unit @ ( image_5846526143423701914t_unit @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3786_mono__cSUP,axiom,
% 3.29/3.54      ! [F: product_unit > nat,A4: product_unit > product_unit,I3: set_Product_unit] :
% 3.29/3.54        ( ( order_7096114683908731117it_nat @ F )
% 3.29/3.54       => ( ( condit2080475194861589617t_unit @ ( image_405062704495631173t_unit @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bo3957492148770167129t_unit )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_875570014554754200it_nat
% 3.29/3.54                  @ ^ [X4: product_unit] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( comple4687483117567863418t_unit @ ( image_405062704495631173t_unit @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3787_mono__cSUP,axiom,
% 3.29/3.54      ! [F: product_unit > nat,A4: $o > product_unit,I3: set_o] :
% 3.29/3.54        ( ( order_7096114683908731117it_nat @ F )
% 3.29/3.54       => ( ( condit2080475194861589617t_unit @ ( image_o_Product_unit @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_o )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_o_nat
% 3.29/3.54                  @ ^ [X4: $o] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3788_mono__cSUP,axiom,
% 3.29/3.54      ! [F: product_unit > nat,A4: nat > product_unit,I3: set_nat] :
% 3.29/3.54        ( ( order_7096114683908731117it_nat @ F )
% 3.29/3.54       => ( ( condit2080475194861589617t_unit @ ( image_8730104196221521654t_unit @ A4 @ I3 ) )
% 3.29/3.54         => ( ( I3 != bot_bot_set_nat )
% 3.29/3.54           => ( ord_less_eq_nat
% 3.29/3.54              @ ( complete_Sup_Sup_nat
% 3.29/3.54                @ ( image_nat_nat
% 3.29/3.54                  @ ^ [X4: nat] : ( F @ ( A4 @ X4 ) )
% 3.29/3.54                  @ I3 ) )
% 3.29/3.54              @ ( F @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ A4 @ I3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSUP
% 3.29/3.54  thf(fact_3789_mono__cSup,axiom,
% 3.29/3.54      ! [F: $o > nat,A4: set_o] :
% 3.29/3.54        ( ( order_mono_o_nat @ F )
% 3.29/3.54       => ( ( condit5488710616941104124bove_o @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_o )
% 3.29/3.54           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_o_nat @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_o @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3790_mono__cSup,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( order_mono_nat_nat @ F )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_nat )
% 3.29/3.54           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_nat @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3791_mono__cSup,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( order_mono_int_nat @ F )
% 3.29/3.54       => ( ( condit2212336002400062152ve_int @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_int )
% 3.29/3.54           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_int_nat @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_int @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3792_mono__cSup,axiom,
% 3.29/3.54      ! [F: product_unit > nat,A4: set_Product_unit] :
% 3.29/3.54        ( ( order_7096114683908731117it_nat @ F )
% 3.29/3.54       => ( ( condit2080475194861589617t_unit @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.54           => ( ord_less_eq_nat @ ( complete_Sup_Sup_nat @ ( image_875570014554754200it_nat @ F @ A4 ) ) @ ( F @ ( comple4687483117567863418t_unit @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3793_mono__cSup,axiom,
% 3.29/3.54      ! [F: $o > int,A4: set_o] :
% 3.29/3.54        ( ( order_mono_o_int @ F )
% 3.29/3.54       => ( ( condit5488710616941104124bove_o @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_o )
% 3.29/3.54           => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_o_int @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_o @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3794_mono__cSup,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( order_mono_nat_int @ F )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_nat )
% 3.29/3.54           => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_nat_int @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_nat @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3795_mono__cSup,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( order_mono_int_int @ F )
% 3.29/3.54       => ( ( condit2212336002400062152ve_int @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_int )
% 3.29/3.54           => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_int_int @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_int @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3796_mono__cSup,axiom,
% 3.29/3.54      ! [F: product_unit > int,A4: set_Product_unit] :
% 3.29/3.54        ( ( order_7093624213399680841it_int @ F )
% 3.29/3.54       => ( ( condit2080475194861589617t_unit @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bo3957492148770167129t_unit )
% 3.29/3.54           => ( ord_less_eq_int @ ( complete_Sup_Sup_int @ ( image_873079544045703924it_int @ F @ A4 ) ) @ ( F @ ( comple4687483117567863418t_unit @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3797_mono__cSup,axiom,
% 3.29/3.54      ! [F: $o > product_unit,A4: set_o] :
% 3.29/3.54        ( ( order_7782127260464396005t_unit @ F )
% 3.29/3.54       => ( ( condit5488710616941104124bove_o @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_o )
% 3.29/3.54           => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_o_Product_unit @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_o @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3798_mono__cSup,axiom,
% 3.29/3.54      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.54        ( ( order_5727276828720722763t_unit @ F )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ A4 )
% 3.29/3.54         => ( ( A4 != bot_bot_set_nat )
% 3.29/3.54           => ( ord_le3221252021190050221t_unit @ ( comple4687483117567863418t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) ) @ ( F @ ( complete_Sup_Sup_nat @ A4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % mono_cSup
% 3.29/3.54  thf(fact_3799_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: nat > rat,A13: set_nat,B1: set_rat,F22: int > int,B22: set_int,A24: set_int] :
% 3.29/3.54        ( ( ( image_nat_rat @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_int @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ ( image_int_int @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_int ) )
% 3.29/3.54             => ( ( bNF_We7904740386373615514nt_rat @ B22 @ B1 )
% 3.29/3.54                = ( image_1904597124500147013nt_rat @ ( bNF_We576767280138975660at_int @ B22 @ F1 @ F22 ) @ ( bNF_We8539870446460111250nt_nat @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3800_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: nat > nat,A13: set_nat,B1: set_nat,F22: int > int,B22: set_int,A24: set_int] :
% 3.29/3.54        ( ( ( image_nat_nat @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_int @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ ( image_int_int @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_int ) )
% 3.29/3.54             => ( ( bNF_We8539870446460111250nt_nat @ B22 @ B1 )
% 3.29/3.54                = ( image_5412825682893543741nt_nat @ ( bNF_We893321924073841572at_int @ B22 @ F1 @ F22 ) @ ( bNF_We8539870446460111250nt_nat @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3801_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: nat > int,A13: set_nat,B1: set_int,F22: int > int,B22: set_int,A24: set_int] :
% 3.29/3.54        ( ( ( image_nat_int @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_int @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ ( image_int_int @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_int ) )
% 3.29/3.54             => ( ( bNF_We8537379975951060974nt_int @ B22 @ B1 )
% 3.29/3.54                = ( image_1234974663384347033nt_int @ ( bNF_We1892675635974896128nt_int @ B22 @ F1 @ F22 ) @ ( bNF_We8539870446460111250nt_nat @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3802_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: int > nat,A13: set_int,B1: set_nat,F22: int > int,B22: set_int,A24: set_int] :
% 3.29/3.54        ( ( ( image_int_nat @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_int @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ ( image_int_int @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_int ) )
% 3.29/3.54             => ( ( bNF_We8539870446460111250nt_nat @ B22 @ B1 )
% 3.29/3.54                = ( image_1600535827742230425nt_nat @ ( bNF_We1264975484310686208at_int @ B22 @ F1 @ F22 ) @ ( bNF_We8537379975951060974nt_int @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3803_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: int > int,A13: set_int,B1: set_int,F22: int > int,B22: set_int,A24: set_int] :
% 3.29/3.54        ( ( ( image_int_int @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_int @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_int @ ( image_int_int @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_int ) )
% 3.29/3.54             => ( ( bNF_We8537379975951060974nt_int @ B22 @ B1 )
% 3.29/3.54                = ( image_6646056845087809525nt_int @ ( bNF_We2264329196211740764nt_int @ B22 @ F1 @ F22 ) @ ( bNF_We8537379975951060974nt_int @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3804_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: nat > rat,A13: set_nat,B1: set_rat,F22: int > nat,B22: set_int,A24: set_nat] :
% 3.29/3.54        ( ( ( image_nat_rat @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_nat @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_nat ) )
% 3.29/3.54             => ( ( bNF_We7904740386373615514nt_rat @ B22 @ B1 )
% 3.29/3.54                = ( image_696479991571767017nt_rat @ ( bNF_We579257750648025936at_nat @ B22 @ F1 @ F22 ) @ ( bNF_We7540516734559056694at_nat @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3805_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: nat > nat,A13: set_nat,B1: set_nat,F22: int > nat,B22: set_int,A24: set_nat] :
% 3.29/3.54        ( ( ( image_nat_nat @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_nat @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_nat ) )
% 3.29/3.54             => ( ( bNF_We8539870446460111250nt_nat @ B22 @ B1 )
% 3.29/3.54                = ( image_4204708549965163745nt_nat @ ( bNF_We895812394582891848at_nat @ B22 @ F1 @ F22 ) @ ( bNF_We7540516734559056694at_nat @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3806_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: nat > int,A13: set_nat,B1: set_int,F22: int > nat,B22: set_int,A24: set_nat] :
% 3.29/3.54        ( ( ( image_nat_int @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_nat @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_nat ) )
% 3.29/3.54             => ( ( bNF_We8537379975951060974nt_int @ B22 @ B1 )
% 3.29/3.54                = ( image_26857530455967037nt_int @ ( bNF_We1895166106483946404nt_nat @ B22 @ F1 @ F22 ) @ ( bNF_We7540516734559056694at_nat @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3807_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: int > nat,A13: set_int,B1: set_nat,F22: int > nat,B22: set_int,A24: set_nat] :
% 3.29/3.54        ( ( ( image_int_nat @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_nat @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_nat ) )
% 3.29/3.54             => ( ( bNF_We8539870446460111250nt_nat @ B22 @ B1 )
% 3.29/3.54                = ( image_392418694813850429nt_nat @ ( bNF_We1267465954819736484at_nat @ B22 @ F1 @ F22 ) @ ( bNF_We7538026264050006418at_int @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3808_Func__map__surj,axiom,
% 3.29/3.54      ! [F1: int > int,A13: set_int,B1: set_int,F22: int > nat,B22: set_int,A24: set_nat] :
% 3.29/3.54        ( ( ( image_int_int @ F1 @ A13 )
% 3.29/3.54          = B1 )
% 3.29/3.54       => ( ( inj_on_int_nat @ F22 @ B22 )
% 3.29/3.54         => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F22 @ B22 ) @ A24 )
% 3.29/3.54           => ( ( ( B22 = bot_bot_set_int )
% 3.29/3.54               => ( A24 = bot_bot_set_nat ) )
% 3.29/3.54             => ( ( bNF_We8537379975951060974nt_int @ B22 @ B1 )
% 3.29/3.54                = ( image_5437939712159429529nt_int @ ( bNF_We2266819666720791040nt_nat @ B22 @ F1 @ F22 ) @ ( bNF_We7538026264050006418at_int @ A24 @ A13 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Func_map_surj
% 3.29/3.54  thf(fact_3809_cofinal__def,axiom,
% 3.29/3.54      ( bNF_Ca6037544080215331608at_nat
% 3.29/3.54      = ( ^ [A6: set_se5479201105039950375at_nat,R5: set_Pr7459493094073627847at_nat] :
% 3.29/3.54          ! [X4: set_Pr4329608150637261639at_nat] :
% 3.29/3.54            ( ( member6273874620674182256at_nat @ X4 @ ( field_1428494348145443988at_nat @ R5 ) )
% 3.29/3.54           => ? [Y5: set_Pr4329608150637261639at_nat] :
% 3.29/3.54                ( ( member6273874620674182256at_nat @ Y5 @ A6 )
% 3.29/3.54                & ( X4 != Y5 )
% 3.29/3.54                & ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % cofinal_def
% 3.29/3.54  thf(fact_3810_cofinal__def,axiom,
% 3.29/3.54      ( bNF_Ca8448034394003515314at_nat
% 3.29/3.54      = ( ^ [A6: set_se7855581050983116737at_nat,R5: set_Pr4329608150637261639at_nat] :
% 3.29/3.54          ! [X4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54            ( ( member2643936169264416010at_nat @ X4 @ ( field_3145993188331922222at_nat @ R5 ) )
% 3.29/3.54           => ? [Y5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54                ( ( member2643936169264416010at_nat @ Y5 @ A6 )
% 3.29/3.54                & ( X4 != Y5 )
% 3.29/3.54                & ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % cofinal_def
% 3.29/3.54  thf(fact_3811_cofinal__def,axiom,
% 3.29/3.54      ( bNF_Ca5159621140400407487al_nat
% 3.29/3.54      = ( ^ [A6: set_nat,R5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54          ! [X4: nat] :
% 3.29/3.54            ( ( member_nat @ X4 @ ( field_nat @ R5 ) )
% 3.29/3.54           => ? [Y5: nat] :
% 3.29/3.54                ( ( member_nat @ Y5 @ A6 )
% 3.29/3.54                & ( X4 != Y5 )
% 3.29/3.54                & ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % cofinal_def
% 3.29/3.54  thf(fact_3812_cofinal__def,axiom,
% 3.29/3.54      ( bNF_Ca5157130669891357211al_int
% 3.29/3.54      = ( ^ [A6: set_int,R5: set_Pr958786334691620121nt_int] :
% 3.29/3.54          ! [X4: int] :
% 3.29/3.54            ( ( member_int @ X4 @ ( field_int @ R5 ) )
% 3.29/3.54           => ? [Y5: int] :
% 3.29/3.54                ( ( member_int @ Y5 @ A6 )
% 3.29/3.54                & ( X4 != Y5 )
% 3.29/3.54                & ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % cofinal_def
% 3.29/3.54  thf(fact_3813_Total__subset__Id,axiom,
% 3.29/3.54      ! [R: set_Pr7459493094073627847at_nat] :
% 3.29/3.54        ( ( total_5117575981256876747at_nat @ ( field_1428494348145443988at_nat @ R ) @ R )
% 3.29/3.54       => ( ( ord_le5997549366648089703at_nat @ R @ id_set4888139568991089827at_nat )
% 3.29/3.54         => ( ( R = bot_bo4948859079157340979at_nat )
% 3.29/3.54            | ? [A3: set_Pr4329608150637261639at_nat] :
% 3.29/3.54                ( R
% 3.29/3.54                = ( insert291458823148189367at_nat @ ( produc9060074326276436823at_nat @ A3 @ A3 ) @ bot_bo4948859079157340979at_nat ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Total_subset_Id
% 3.29/3.54  thf(fact_3814_Total__subset__Id,axiom,
% 3.29/3.54      ! [R: set_Pr958786334691620121nt_int] :
% 3.29/3.54        ( ( total_on_int @ ( field_int @ R ) @ R )
% 3.29/3.54       => ( ( ord_le2843351958646193337nt_int @ R @ id_int2 )
% 3.29/3.54         => ( ( R = bot_bo1796632182523588997nt_int )
% 3.29/3.54            | ? [A3: int] :
% 3.29/3.54                ( R
% 3.29/3.54                = ( insert5033312907999012233nt_int @ ( product_Pair_int_int @ A3 @ A3 ) @ bot_bo1796632182523588997nt_int ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Total_subset_Id
% 3.29/3.54  thf(fact_3815_Total__subset__Id,axiom,
% 3.29/3.54      ! [R: set_Pr8693737435421807431at_nat] :
% 3.29/3.54        ( ( total_3592101749530773125at_nat @ ( field_4706345496283612622at_nat @ R ) @ R )
% 3.29/3.54       => ( ( ord_le3000389064537975527at_nat @ R @ id_Pro2258643101195443293at_nat )
% 3.29/3.54         => ( ( R = bot_bo5327735625951526323at_nat )
% 3.29/3.54            | ? [A3: product_prod_nat_nat] :
% 3.29/3.54                ( R
% 3.29/3.54                = ( insert5050368324300391991at_nat @ ( produc6161850002892822231at_nat @ A3 @ A3 ) @ bot_bo5327735625951526323at_nat ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Total_subset_Id
% 3.29/3.54  thf(fact_3816_Total__subset__Id,axiom,
% 3.29/3.54      ! [R: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( total_7212417256332265445at_nat @ ( field_3145993188331922222at_nat @ R ) @ R )
% 3.29/3.54       => ( ( ord_le1268244103169919719at_nat @ R @ id_set1796276052702428605at_nat )
% 3.29/3.54         => ( ( R = bot_bo228742789529271731at_nat )
% 3.29/3.54            | ? [A3: set_Pr1261947904930325089at_nat] :
% 3.29/3.54                ( R
% 3.29/3.54                = ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ A3 @ A3 ) @ bot_bo228742789529271731at_nat ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Total_subset_Id
% 3.29/3.54  thf(fact_3817_Total__subset__Id,axiom,
% 3.29/3.54      ! [R: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( total_on_nat @ ( field_nat @ R ) @ R )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ R @ id_nat2 )
% 3.29/3.54         => ( ( R = bot_bo2099793752762293965at_nat )
% 3.29/3.54            | ? [A3: nat] :
% 3.29/3.54                ( R
% 3.29/3.54                = ( insert8211810215607154385at_nat @ ( product_Pair_nat_nat @ A3 @ A3 ) @ bot_bo2099793752762293965at_nat ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Total_subset_Id
% 3.29/3.54  thf(fact_3818_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54         => ? [X: int] :
% 3.29/3.54              ( ( member_int @ X @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_int @ ( inf_inf_set_int @ ( vimage_int_int @ F @ ( insert_int @ X @ bot_bot_set_int ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3819_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: rat] :
% 3.29/3.54              ( ( member_rat @ X @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_rat @ F @ ( insert_rat @ X @ bot_bot_set_rat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3820_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: int] :
% 3.29/3.54              ( ( member_int @ X @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_int @ F @ ( insert_int @ X @ bot_bot_set_int ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3821_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.54        ( ( finite4290736615968046902t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: product_unit] :
% 3.29/3.54              ( ( member_Product_unit @ X @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage4884490618288580032t_unit @ F @ ( insert_Product_unit @ X @ bot_bo3957492148770167129t_unit ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3822_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: nat > $o,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_o @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: $o] :
% 3.29/3.54              ( ( member_o @ X @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_o @ F @ ( insert_o @ X @ bot_bot_set_o ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3823_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_int @ ( inf_inf_set_int @ ( vimage_int_nat @ F @ ( insert_nat @ X @ bot_bot_set_nat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3824_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_nat @ F @ ( insert_nat @ X @ bot_bot_set_nat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3825_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_unit,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite4290736615968046902t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ? [X: product_unit] :
% 3.29/3.54              ( ( member_Product_unit @ X @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat @ ( inf_in2572325071724192079at_nat @ ( vimage3104651464403166471t_unit @ F @ ( insert_Product_unit @ X @ bot_bo3957492148770167129t_unit ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3826_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: product_prod_nat_nat] :
% 3.29/3.54              ( ( member8440522571783428010at_nat @ X @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage8013328719654469172at_nat @ F @ ( insert8211810215607154385at_nat @ X @ bot_bo2099793752762293965at_nat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3827_inf__img__fin__dom_H,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > $o,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_o @ ( image_3693632289388996572_nat_o @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ? [X: $o] :
% 3.29/3.54              ( ( member_o @ X @ ( image_3693632289388996572_nat_o @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat @ ( inf_in2572325071724192079at_nat @ ( vimage2444243245536687506_nat_o @ F @ ( insert_o @ X @ bot_bot_set_o ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom'
% 3.29/3.54  thf(fact_3828_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54         => ~ ! [Y: int] :
% 3.29/3.54                ( ( member_int @ Y @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_int @ ( inf_inf_set_int @ ( vimage_int_int @ F @ ( insert_int @ Y @ bot_bot_set_int ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3829_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: rat] :
% 3.29/3.54                ( ( member_rat @ Y @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_rat @ F @ ( insert_rat @ Y @ bot_bot_set_rat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3830_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: int] :
% 3.29/3.54                ( ( member_int @ Y @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_int @ F @ ( insert_int @ Y @ bot_bot_set_int ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3831_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.54        ( ( finite4290736615968046902t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: product_unit] :
% 3.29/3.54                ( ( member_Product_unit @ Y @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage4884490618288580032t_unit @ F @ ( insert_Product_unit @ Y @ bot_bo3957492148770167129t_unit ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3832_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: nat > $o,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_o @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: $o] :
% 3.29/3.54                ( ( member_o @ Y @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_o @ F @ ( insert_o @ Y @ bot_bot_set_o ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3833_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54         => ~ ! [Y: nat] :
% 3.29/3.54                ( ( member_nat @ Y @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_int @ ( inf_inf_set_int @ ( vimage_int_nat @ F @ ( insert_nat @ Y @ bot_bot_set_nat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3834_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: nat] :
% 3.29/3.54                ( ( member_nat @ Y @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage_nat_nat @ F @ ( insert_nat @ Y @ bot_bot_set_nat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3835_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > int,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_2483585944268220136at_int @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: int] :
% 3.29/3.54                ( ( member_int @ Y @ ( image_2483585944268220136at_int @ F @ A4 ) )
% 3.29/3.54               => ( finite6177210948735845034at_nat @ ( inf_in2572325071724192079at_nat @ ( vimage4650790856102703794at_int @ F @ ( insert_int @ Y @ bot_bot_set_int ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3836_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_unit,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite4290736615968046902t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: product_unit] :
% 3.29/3.54                ( ( member_Product_unit @ Y @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.54               => ( finite6177210948735845034at_nat @ ( inf_in2572325071724192079at_nat @ ( vimage3104651464403166471t_unit @ F @ ( insert_Product_unit @ Y @ bot_bo3957492148770167129t_unit ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3837_inf__img__fin__domE_H,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ~ ! [Y: product_prod_nat_nat] :
% 3.29/3.54                ( ( member8440522571783428010at_nat @ Y @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54               => ( finite_finite_nat @ ( inf_inf_set_nat @ ( vimage8013328719654469172at_nat @ F @ ( insert8211810215607154385at_nat @ Y @ bot_bo2099793752762293965at_nat ) ) @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_domE'
% 3.29/3.54  thf(fact_3838_prod__set__simps_I2_J,axiom,
% 3.29/3.54      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( basic_5713354656523905413at_nat @ ( produc9060074326276436823at_nat @ X2 @ Y3 ) )
% 3.29/3.54        = ( insert2290795007606087959at_nat @ Y3 @ bot_bo1534825418459847827at_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_set_simps(2)
% 3.29/3.54  thf(fact_3839_prod__set__simps_I2_J,axiom,
% 3.29/3.54      ! [X2: set_Pr1261947904930325089at_nat,Y3: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( basic_484852565060450053at_nat @ ( produc2922128104949294807at_nat @ X2 @ Y3 ) )
% 3.29/3.54        = ( insert9200635055090092081at_nat @ Y3 @ bot_bo3083307316010499117at_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_set_simps(2)
% 3.29/3.54  thf(fact_3840_prod__set__simps_I2_J,axiom,
% 3.29/3.54      ! [X2: nat,Y3: num] :
% 3.29/3.54        ( ( basic_snds_nat_num @ ( product_Pair_nat_num @ X2 @ Y3 ) )
% 3.29/3.54        = ( insert_num @ Y3 @ bot_bot_set_num ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_set_simps(2)
% 3.29/3.54  thf(fact_3841_prod__set__simps_I2_J,axiom,
% 3.29/3.54      ! [X2: int,Y3: int] :
% 3.29/3.54        ( ( basic_snds_int_int @ ( product_Pair_int_int @ X2 @ Y3 ) )
% 3.29/3.54        = ( insert_int @ Y3 @ bot_bot_set_int ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_set_simps(2)
% 3.29/3.54  thf(fact_3842_prod__set__simps_I2_J,axiom,
% 3.29/3.54      ! [X2: nat,Y3: nat] :
% 3.29/3.54        ( ( basic_snds_nat_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) )
% 3.29/3.54        = ( insert_nat @ Y3 @ bot_bot_set_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_set_simps(2)
% 3.29/3.54  thf(fact_3843_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Pr5564308138774400199at_nat,A: produc3843707927480180839at_nat,B: produc3843707927480180839at_nat] :
% 3.29/3.54        ( ( order_2711500226769404828at_nat @ ( field_2862844103579723188at_nat @ R ) @ R )
% 3.29/3.54       => ( ( member8757157785044589968at_nat @ A @ ( field_2862844103579723188at_nat @ R ) )
% 3.29/3.54         => ( ( member8757157785044589968at_nat @ B @ ( field_2862844103579723188at_nat @ R ) )
% 3.29/3.54           => ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ B @ A ) @ ( minus_8235382265540049710at_nat @ R @ id_Pro5428700290092274115at_nat ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3844_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Product_prod_o_o,A: $o,B: $o] :
% 3.29/3.54        ( ( order_6238756238976269133r_on_o @ ( field_o @ R ) @ R )
% 3.29/3.54       => ( ( member_o @ A @ ( field_o @ R ) )
% 3.29/3.54         => ( ( member_o @ B @ ( field_o @ R ) )
% 3.29/3.54           => ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ B @ A ) @ ( minus_7052513330764642158od_o_o @ R @ id_o2 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3845_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Pr8693737435421807431at_nat,A: product_prod_nat_nat,B: product_prod_nat_nat] :
% 3.29/3.54        ( ( order_7480980593162297270at_nat @ ( field_4706345496283612622at_nat @ R ) @ R )
% 3.29/3.54       => ( ( member8440522571783428010at_nat @ A @ ( field_4706345496283612622at_nat @ R ) )
% 3.29/3.54         => ( ( member8440522571783428010at_nat @ B @ ( field_4706345496283612622at_nat @ R ) )
% 3.29/3.54           => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ B @ A ) @ ( minus_8321449233255521966at_nat @ R @ id_Pro2258643101195443293at_nat ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3846_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Pr7459493094073627847at_nat,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( order_1878278401035043452at_nat @ ( field_1428494348145443988at_nat @ R ) @ R )
% 3.29/3.54       => ( ( member6273874620674182256at_nat @ A @ ( field_1428494348145443988at_nat @ R ) )
% 3.29/3.54         => ( ( member6273874620674182256at_nat @ B @ ( field_1428494348145443988at_nat @ R ) )
% 3.29/3.54           => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ B @ A ) @ ( minus_8674369445256047406at_nat @ R @ id_set4888139568991089827at_nat ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3847_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Pr4329608150637261639at_nat,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( order_5942792088423767318at_nat @ ( field_3145993188331922222at_nat @ R ) @ R )
% 3.29/3.54       => ( ( member2643936169264416010at_nat @ A @ ( field_3145993188331922222at_nat @ R ) )
% 3.29/3.54         => ( ( member2643936169264416010at_nat @ B @ ( field_3145993188331922222at_nat @ R ) )
% 3.29/3.54           => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ B @ A ) @ ( minus_3314409938677909166at_nat @ R @ id_set1796276052702428605at_nat ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3848_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Pr1261947904930325089at_nat,A: nat,B: nat] :
% 3.29/3.54        ( ( order_4473980167227706203on_nat @ ( field_nat @ R ) @ R )
% 3.29/3.54       => ( ( member_nat @ A @ ( field_nat @ R ) )
% 3.29/3.54         => ( ( member_nat @ B @ ( field_nat @ R ) )
% 3.29/3.54           => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ B @ A ) @ ( minus_1356011639430497352at_nat @ R @ id_nat2 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3849_Linear__order__in__diff__Id,axiom,
% 3.29/3.54      ! [R: set_Pr958786334691620121nt_int,A: int,B: int] :
% 3.29/3.54        ( ( order_4471489696718655927on_int @ ( field_int @ R ) @ R )
% 3.29/3.54       => ( ( member_int @ A @ ( field_int @ R ) )
% 3.29/3.54         => ( ( member_int @ B @ ( field_int @ R ) )
% 3.29/3.54           => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ R )
% 3.29/3.54              = ( ~ ( member5262025264175285858nt_int @ ( product_Pair_int_int @ B @ A ) @ ( minus_1052850069191792384nt_int @ R @ id_int2 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_in_diff_Id
% 3.29/3.54  thf(fact_3850_aboveS__def,axiom,
% 3.29/3.54      ( order_4940263126897443436at_nat
% 3.29/3.54      = ( ^ [R5: set_Pr8693737435421807431at_nat,A5: product_prod_nat_nat] :
% 3.29/3.54            ( collec3392354462482085612at_nat
% 3.29/3.54            @ ^ [B4: product_prod_nat_nat] :
% 3.29/3.54                ( ( B4 != A5 )
% 3.29/3.54                & ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A5 @ B4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % aboveS_def
% 3.29/3.54  thf(fact_3851_aboveS__def,axiom,
% 3.29/3.54      ( order_1761765819289301284nt_int
% 3.29/3.54      = ( ^ [R5: set_Pr2560585780119916871nt_int,A5: product_prod_int_int] :
% 3.29/3.54            ( collec213857154873943460nt_int
% 3.29/3.54            @ ^ [B4: product_prod_int_int] :
% 3.29/3.54                ( ( B4 != A5 )
% 3.29/3.54                & ( member8566619992076573584nt_int @ ( produc3646306378393792727nt_int @ A5 @ B4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % aboveS_def
% 3.29/3.54  thf(fact_3852_aboveS__def,axiom,
% 3.29/3.54      ( order_2442354982230848562at_nat
% 3.29/3.54      = ( ^ [R5: set_Pr7459493094073627847at_nat,A5: set_Pr4329608150637261639at_nat] :
% 3.29/3.54            ( collec4573900263915890866at_nat
% 3.29/3.54            @ ^ [B4: set_Pr4329608150637261639at_nat] :
% 3.29/3.54                ( ( B4 != A5 )
% 3.29/3.54                & ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A5 @ B4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % aboveS_def
% 3.29/3.54  thf(fact_3853_aboveS__def,axiom,
% 3.29/3.54      ( order_4440095836999870412at_nat
% 3.29/3.54      = ( ^ [R5: set_Pr4329608150637261639at_nat,A5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54            ( collec5514110066124741708at_nat
% 3.29/3.54            @ ^ [B4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54                ( ( B4 != A5 )
% 3.29/3.54                & ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A5 @ B4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % aboveS_def
% 3.29/3.54  thf(fact_3854_aboveS__def,axiom,
% 3.29/3.54      ( order_aboveS_nat
% 3.29/3.54      = ( ^ [R5: set_Pr1261947904930325089at_nat,A5: nat] :
% 3.29/3.54            ( collect_nat
% 3.29/3.54            @ ^ [B4: nat] :
% 3.29/3.54                ( ( B4 != A5 )
% 3.29/3.54                & ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A5 @ B4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % aboveS_def
% 3.29/3.54  thf(fact_3855_aboveS__def,axiom,
% 3.29/3.54      ( order_aboveS_int
% 3.29/3.54      = ( ^ [R5: set_Pr958786334691620121nt_int,A5: int] :
% 3.29/3.54            ( collect_int
% 3.29/3.54            @ ^ [B4: int] :
% 3.29/3.54                ( ( B4 != A5 )
% 3.29/3.54                & ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A5 @ B4 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % aboveS_def
% 3.29/3.54  thf(fact_3856_card__vimage__inj,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_rat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ A4 @ ( image_nat_rat @ F @ top_top_set_nat ) )
% 3.29/3.54         => ( ( finite_card_nat @ ( vimage_nat_rat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_rat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_vimage_inj
% 3.29/3.54  thf(fact_3857_card__vimage__inj,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ A4 @ ( image_nat_nat @ F @ top_top_set_nat ) )
% 3.29/3.54         => ( ( finite_card_nat @ ( vimage_nat_nat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_vimage_inj
% 3.29/3.54  thf(fact_3858_card__vimage__inj,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ top_top_set_nat )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ A4 @ ( image_nat_int @ F @ top_top_set_nat ) )
% 3.29/3.54         => ( ( finite_card_nat @ ( vimage_nat_int @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_vimage_inj
% 3.29/3.54  thf(fact_3859_card__vimage__inj,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ top_top_set_int )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ A4 @ ( image_int_nat @ F @ top_top_set_int ) )
% 3.29/3.54         => ( ( finite_card_int @ ( vimage_int_nat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_vimage_inj
% 3.29/3.54  thf(fact_3860_card__vimage__inj,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ A4 @ ( image_int_int @ F @ top_top_set_int ) )
% 3.29/3.54         => ( ( finite_card_int @ ( vimage_int_int @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_vimage_inj
% 3.29/3.54  thf(fact_3861_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr7459493094073627847at_nat] :
% 3.29/3.54        ( ( order_1878278401035043452at_nat @ ( field_1428494348145443988at_nat @ R ) @ R )
% 3.29/3.54       => ( ( order_423636163458052581at_nat @ ( field_1428494348145443988at_nat @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_se5479201105039950375at_nat] :
% 3.29/3.54                ( ( ord_le7966958417815640519at_nat @ A6 @ ( field_1428494348145443988at_nat @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bo1534825418459847827at_nat )
% 3.29/3.54                 => ? [X4: set_Pr4329608150637261639at_nat] :
% 3.29/3.54                      ( ( member6273874620674182256at_nat @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: set_Pr4329608150637261639at_nat] :
% 3.29/3.54                          ( ( member6273874620674182256at_nat @ Y5 @ A6 )
% 3.29/3.54                         => ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3862_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( order_5942792088423767318at_nat @ ( field_3145993188331922222at_nat @ R ) @ R )
% 3.29/3.54       => ( ( order_1968183844437341695at_nat @ ( field_3145993188331922222at_nat @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_se7855581050983116737at_nat] :
% 3.29/3.54                ( ( ord_le2077887516847798113at_nat @ A6 @ ( field_3145993188331922222at_nat @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bo3083307316010499117at_nat )
% 3.29/3.54                 => ? [X4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54                      ( ( member2643936169264416010at_nat @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54                          ( ( member2643936169264416010at_nat @ Y5 @ A6 )
% 3.29/3.54                         => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3863_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr958786334691620121nt_int] :
% 3.29/3.54        ( ( order_4471489696718655927on_int @ ( field_int @ R ) @ R )
% 3.29/3.54       => ( ( order_2886507596567047182on_int @ ( field_int @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_int] :
% 3.29/3.54                ( ( ord_less_eq_set_int @ A6 @ ( field_int @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bot_set_int )
% 3.29/3.54                 => ? [X4: int] :
% 3.29/3.54                      ( ( member_int @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: int] :
% 3.29/3.54                          ( ( member_int @ Y5 @ A6 )
% 3.29/3.54                         => ( member5262025264175285858nt_int @ ( product_Pair_int_int @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3864_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr5094982260447487303t_unit] :
% 3.29/3.54        ( ( order_888282469287196226t_unit @ ( field_Product_unit @ R ) @ R )
% 3.29/3.54       => ( ( order_3164716736300062379t_unit @ ( field_Product_unit @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_Product_unit] :
% 3.29/3.54                ( ( ord_le3507040750410214029t_unit @ A6 @ ( field_Product_unit @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bo3957492148770167129t_unit )
% 3.29/3.54                 => ? [X4: product_unit] :
% 3.29/3.54                      ( ( member_Product_unit @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: product_unit] :
% 3.29/3.54                          ( ( member_Product_unit @ Y5 @ A6 )
% 3.29/3.54                         => ( member7821138191923116944t_unit @ ( produc5692694829384537815t_unit @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3865_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr5564308138774400199at_nat] :
% 3.29/3.54        ( ( order_2711500226769404828at_nat @ ( field_2862844103579723188at_nat @ R ) @ R )
% 3.29/3.54       => ( ( order_2339240034117818117at_nat @ ( field_2862844103579723188at_nat @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_Pr4329608150637261639at_nat] :
% 3.29/3.54                ( ( ord_le1268244103169919719at_nat @ A6 @ ( field_2862844103579723188at_nat @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bo228742789529271731at_nat )
% 3.29/3.54                 => ? [X4: produc3843707927480180839at_nat] :
% 3.29/3.54                      ( ( member8757157785044589968at_nat @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: produc3843707927480180839at_nat] :
% 3.29/3.54                          ( ( member8757157785044589968at_nat @ Y5 @ A6 )
% 3.29/3.54                         => ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3866_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr8693737435421807431at_nat] :
% 3.29/3.54        ( ( order_7480980593162297270at_nat @ ( field_4706345496283612622at_nat @ R ) @ R )
% 3.29/3.54       => ( ( order_8331247224601271455at_nat @ ( field_4706345496283612622at_nat @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54                ( ( ord_le3146513528884898305at_nat @ A6 @ ( field_4706345496283612622at_nat @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bo2099793752762293965at_nat )
% 3.29/3.54                 => ? [X4: product_prod_nat_nat] :
% 3.29/3.54                      ( ( member8440522571783428010at_nat @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: product_prod_nat_nat] :
% 3.29/3.54                          ( ( member8440522571783428010at_nat @ Y5 @ A6 )
% 3.29/3.54                         => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3867_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Product_prod_o_o] :
% 3.29/3.54        ( ( order_6238756238976269133r_on_o @ ( field_o @ R ) @ R )
% 3.29/3.54       => ( ( order_2615775362358406454r_on_o @ ( field_o @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_o] :
% 3.29/3.54                ( ( ord_less_eq_set_o @ A6 @ ( field_o @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bot_set_o )
% 3.29/3.54                 => ? [X4: $o] :
% 3.29/3.54                      ( ( member_o @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: $o] :
% 3.29/3.54                          ( ( member_o @ Y5 @ A6 )
% 3.29/3.54                         => ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3868_Linear__order__Well__order__iff,axiom,
% 3.29/3.54      ! [R: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( order_4473980167227706203on_nat @ ( field_nat @ R ) @ R )
% 3.29/3.54       => ( ( order_2888998067076097458on_nat @ ( field_nat @ R ) @ R )
% 3.29/3.54          = ( ! [A6: set_nat] :
% 3.29/3.54                ( ( ord_less_eq_set_nat @ A6 @ ( field_nat @ R ) )
% 3.29/3.54               => ( ( A6 != bot_bot_set_nat )
% 3.29/3.54                 => ? [X4: nat] :
% 3.29/3.54                      ( ( member_nat @ X4 @ A6 )
% 3.29/3.54                      & ! [Y5: nat] :
% 3.29/3.54                          ( ( member_nat @ Y5 @ A6 )
% 3.29/3.54                         => ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ X4 @ Y5 ) @ R ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Linear_order_Well_order_iff
% 3.29/3.54  thf(fact_3869_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_int,H: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ F4 )
% 3.29/3.54       => ( finite_finite_int @ ( image_int_int @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3870_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_int,H: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ F4 )
% 3.29/3.54       => ( finite_finite_nat @ ( image_int_nat @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3871_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_Pr1261947904930325089at_nat,H: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ F4 )
% 3.29/3.54       => ( finite6177210948735845034at_nat @ ( image_5168914502847457605at_nat @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3872_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_Pr1261947904930325089at_nat,H: product_prod_nat_nat > nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ F4 )
% 3.29/3.54       => ( finite_finite_nat @ ( image_2486076414777270412at_nat @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3873_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_nat,H: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ F4 )
% 3.29/3.54       => ( finite_finite_rat @ ( image_nat_rat @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3874_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_nat,H: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ F4 )
% 3.29/3.54       => ( finite_finite_int @ ( image_nat_int @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3875_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_nat,H: nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ F4 )
% 3.29/3.54       => ( finite6177210948735845034at_nat @ ( image_5846123807819985514at_nat @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3876_finite__imageI,axiom,
% 3.29/3.54      ! [F4: set_nat,H: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ F4 )
% 3.29/3.54       => ( finite_finite_nat @ ( image_nat_nat @ H @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageI
% 3.29/3.54  thf(fact_3877_IdI,axiom,
% 3.29/3.54      ! [A: product_prod_nat_nat] : ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ A ) @ id_Pro2258643101195443293at_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % IdI
% 3.29/3.54  thf(fact_3878_IdI,axiom,
% 3.29/3.54      ! [A: set_Pr4329608150637261639at_nat] : ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ A ) @ id_set4888139568991089827at_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % IdI
% 3.29/3.54  thf(fact_3879_IdI,axiom,
% 3.29/3.54      ! [A: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ A ) @ id_set1796276052702428605at_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % IdI
% 3.29/3.54  thf(fact_3880_IdI,axiom,
% 3.29/3.54      ! [A: nat] : ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ A ) @ id_nat2 ) ).
% 3.29/3.54  
% 3.29/3.54  % IdI
% 3.29/3.54  thf(fact_3881_IdI,axiom,
% 3.29/3.54      ! [A: int] : ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ A ) @ id_int2 ) ).
% 3.29/3.54  
% 3.29/3.54  % IdI
% 3.29/3.54  thf(fact_3882_pair__in__Id__conv,axiom,
% 3.29/3.54      ! [A: product_prod_nat_nat,B: product_prod_nat_nat] :
% 3.29/3.54        ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ id_Pro2258643101195443293at_nat )
% 3.29/3.54        = ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_in_Id_conv
% 3.29/3.54  thf(fact_3883_pair__in__Id__conv,axiom,
% 3.29/3.54      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ id_set4888139568991089827at_nat )
% 3.29/3.54        = ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_in_Id_conv
% 3.29/3.54  thf(fact_3884_pair__in__Id__conv,axiom,
% 3.29/3.54      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ id_set1796276052702428605at_nat )
% 3.29/3.54        = ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_in_Id_conv
% 3.29/3.54  thf(fact_3885_pair__in__Id__conv,axiom,
% 3.29/3.54      ! [A: nat,B: nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ id_nat2 )
% 3.29/3.54        = ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_in_Id_conv
% 3.29/3.54  thf(fact_3886_pair__in__Id__conv,axiom,
% 3.29/3.54      ! [A: int,B: int] :
% 3.29/3.54        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ id_int2 )
% 3.29/3.54        = ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_in_Id_conv
% 3.29/3.54  thf(fact_3887_finite__UN,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_5423882813909314213at_nat @ B5 @ A4 ) ) )
% 3.29/3.54          = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.54                ( ( member8440522571783428010at_nat @ X4 @ A4 )
% 3.29/3.54               => ( finite6177210948735845034at_nat @ ( B5 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN
% 3.29/3.54  thf(fact_3888_finite__UN,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_7178329752028323786at_nat @ B5 @ A4 ) ) )
% 3.29/3.54          = ( ! [X4: nat] :
% 3.29/3.54                ( ( member_nat @ X4 @ A4 )
% 3.29/3.54               => ( finite6177210948735845034at_nat @ ( B5 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN
% 3.29/3.54  thf(fact_3889_finite__UN,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) )
% 3.29/3.54          = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.54                ( ( member8440522571783428010at_nat @ X4 @ A4 )
% 3.29/3.54               => ( finite_finite_nat @ ( B5 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN
% 3.29/3.54  thf(fact_3890_finite__UN,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: nat > set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) )
% 3.29/3.54          = ( ! [X4: nat] :
% 3.29/3.54                ( ( member_nat @ X4 @ A4 )
% 3.29/3.54               => ( finite_finite_nat @ ( B5 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN
% 3.29/3.54  thf(fact_3891_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_Pr4329608150637261639at_nat,B5: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite4343798906461161616at_nat @ A4 )
% 3.29/3.54       => ( ! [A3: produc3843707927480180839at_nat] :
% 3.29/3.54              ( ( member8757157785044589968at_nat @ A3 @ A4 )
% 3.29/3.54             => ( finite6177210948735845034at_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_7979982168039674559at_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3892_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_o,B5: $o > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_o @ A4 )
% 3.29/3.54       => ( ! [A3: $o] :
% 3.29/3.54              ( ( member_o @ A3 @ A4 )
% 3.29/3.54             => ( finite6177210948735845034at_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_7077428525161401678at_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3893_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_int,B5: int > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ! [A3: int] :
% 3.29/3.54              ( ( member_int @ A3 @ A4 )
% 3.29/3.54             => ( finite6177210948735845034at_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_8938366415781434990at_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3894_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ! [A3: product_prod_nat_nat] :
% 3.29/3.54              ( ( member8440522571783428010at_nat @ A3 @ A4 )
% 3.29/3.54             => ( finite6177210948735845034at_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_5423882813909314213at_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3895_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: nat > set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ! [A3: nat] :
% 3.29/3.54              ( ( member_nat @ A3 @ A4 )
% 3.29/3.54             => ( finite6177210948735845034at_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ ( comple5685304695842803022at_nat @ ( image_7178329752028323786at_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3896_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_Pr4329608150637261639at_nat,B5: produc3843707927480180839at_nat > set_nat] :
% 3.29/3.54        ( ( finite4343798906461161616at_nat @ A4 )
% 3.29/3.54       => ( ! [A3: produc3843707927480180839at_nat] :
% 3.29/3.54              ( ( member8757157785044589968at_nat @ A3 @ A4 )
% 3.29/3.54             => ( finite_finite_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_3160451284896210088et_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3897_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_o,B5: $o > set_nat] :
% 3.29/3.54        ( ( finite_finite_o @ A4 )
% 3.29/3.54       => ( ! [A3: $o] :
% 3.29/3.54              ( ( member_o @ A3 @ A4 )
% 3.29/3.54             => ( finite_finite_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_o_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3898_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_int,B5: int > set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ! [A3: int] :
% 3.29/3.54              ( ( member_int @ A3 @ A4 )
% 3.29/3.54             => ( finite_finite_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_int_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3899_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: product_prod_nat_nat > set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ! [A3: product_prod_nat_nat] :
% 3.29/3.54              ( ( member8440522571783428010at_nat @ A3 @ A4 )
% 3.29/3.54             => ( finite_finite_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3900_finite__UN__I,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: nat > set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ! [A3: nat] :
% 3.29/3.54              ( ( member_nat @ A3 @ A4 )
% 3.29/3.54             => ( finite_finite_nat @ ( B5 @ A3 ) ) )
% 3.29/3.54         => ( finite_finite_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ B5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UN_I
% 3.29/3.54  thf(fact_3901_bdd__below__UN,axiom,
% 3.29/3.54      ! [I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ I3 )
% 3.29/3.54       => ( ( condit1738341127787009408ow_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) )
% 3.29/3.54          = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.54                ( ( member8440522571783428010at_nat @ X4 @ I3 )
% 3.29/3.54               => ( condit1738341127787009408ow_nat @ ( A4 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % bdd_below_UN
% 3.29/3.54  thf(fact_3902_bdd__below__UN,axiom,
% 3.29/3.54      ! [I3: set_nat,A4: nat > set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ I3 )
% 3.29/3.54       => ( ( condit1738341127787009408ow_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.54          = ( ! [X4: nat] :
% 3.29/3.54                ( ( member_nat @ X4 @ I3 )
% 3.29/3.54               => ( condit1738341127787009408ow_nat @ ( A4 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % bdd_below_UN
% 3.29/3.54  thf(fact_3903_bdd__above__UN,axiom,
% 3.29/3.54      ! [I3: set_Pr1261947904930325089at_nat,A4: product_prod_nat_nat > set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ I3 )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ ( comple7399068483239264473et_nat @ ( image_15824709712370754et_nat @ A4 @ I3 ) ) )
% 3.29/3.54          = ( ! [X4: product_prod_nat_nat] :
% 3.29/3.54                ( ( member8440522571783428010at_nat @ X4 @ I3 )
% 3.29/3.54               => ( condit2214826472909112428ve_nat @ ( A4 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % bdd_above_UN
% 3.29/3.54  thf(fact_3904_bdd__above__UN,axiom,
% 3.29/3.54      ! [I3: set_nat,A4: nat > set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ I3 )
% 3.29/3.54       => ( ( condit2214826472909112428ve_nat @ ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ A4 @ I3 ) ) )
% 3.29/3.54          = ( ! [X4: nat] :
% 3.29/3.54                ( ( member_nat @ X4 @ I3 )
% 3.29/3.54               => ( condit2214826472909112428ve_nat @ ( A4 @ X4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % bdd_above_UN
% 3.29/3.54  thf(fact_3905_card__image__le,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ord_less_eq_nat @ ( finite_card_nat @ ( image_int_nat @ F @ A4 ) ) @ ( finite_card_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image_le
% 3.29/3.54  thf(fact_3906_card__image__le,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ord_less_eq_nat @ ( finite_card_int @ ( image_int_int @ F @ A4 ) ) @ ( finite_card_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image_le
% 3.29/3.54  thf(fact_3907_card__image__le,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ord_less_eq_nat @ ( finite_card_rat @ ( image_nat_rat @ F @ A4 ) ) @ ( finite_card_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image_le
% 3.29/3.54  thf(fact_3908_card__image__le,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ord_less_eq_nat @ ( finite_card_nat @ ( image_nat_nat @ F @ A4 ) ) @ ( finite_card_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image_le
% 3.29/3.54  thf(fact_3909_card__image__le,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ord_less_eq_nat @ ( finite_card_int @ ( image_nat_int @ F @ A4 ) ) @ ( finite_card_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image_le
% 3.29/3.54  thf(fact_3910_surj__card__le,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_nat,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_nat @ ( finite_card_nat @ B5 ) @ ( finite_card_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_card_le
% 3.29/3.54  thf(fact_3911_surj__card__le,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_nat @ ( finite_card_int @ B5 ) @ ( finite_card_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_card_le
% 3.29/3.54  thf(fact_3912_surj__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_rat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_nat @ ( finite_card_rat @ B5 ) @ ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_card_le
% 3.29/3.54  thf(fact_3913_surj__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_nat @ ( finite_card_nat @ B5 ) @ ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_card_le
% 3.29/3.54  thf(fact_3914_surj__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_int,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ( ord_less_eq_nat @ ( finite_card_int @ B5 ) @ ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_card_le
% 3.29/3.54  thf(fact_3915_eq__card__imp__inj__on,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ( finite_card_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_int @ A4 ) )
% 3.29/3.54         => ( inj_on_int_nat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % eq_card_imp_inj_on
% 3.29/3.54  thf(fact_3916_eq__card__imp__inj__on,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ( finite_card_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_int @ A4 ) )
% 3.29/3.54         => ( inj_on_int_int @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % eq_card_imp_inj_on
% 3.29/3.54  thf(fact_3917_eq__card__imp__inj__on,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ( finite_card_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) )
% 3.29/3.54         => ( inj_on_nat_rat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % eq_card_imp_inj_on
% 3.29/3.54  thf(fact_3918_eq__card__imp__inj__on,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ( finite_card_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) )
% 3.29/3.54         => ( inj_on_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % eq_card_imp_inj_on
% 3.29/3.54  thf(fact_3919_eq__card__imp__inj__on,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ( finite_card_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) )
% 3.29/3.54         => ( inj_on_nat_int @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % eq_card_imp_inj_on
% 3.29/3.54  thf(fact_3920_inj__on__iff__eq__card,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54          = ( ( finite_card_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_eq_card
% 3.29/3.54  thf(fact_3921_inj__on__iff__eq__card,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54          = ( ( finite_card_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_eq_card
% 3.29/3.54  thf(fact_3922_inj__on__iff__eq__card,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54          = ( ( finite_card_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_eq_card
% 3.29/3.54  thf(fact_3923_inj__on__iff__eq__card,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54          = ( ( finite_card_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_eq_card
% 3.29/3.54  thf(fact_3924_inj__on__iff__eq__card,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54          = ( ( finite_card_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54            = ( finite_card_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_eq_card
% 3.29/3.54  thf(fact_3925_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_Pr4329608150637261639at_nat,R: set_Pr5564308138774400199at_nat,A: produc3843707927480180839at_nat,B: produc3843707927480180839at_nat] :
% 3.29/3.54        ( ( order_2339240034117818117at_nat @ A4 @ R )
% 3.29/3.54       => ( ( member6009668390874684176at_nat @ ( produc2335810615602371415at_nat @ A @ B ) @ R )
% 3.29/3.54         => ( ( member8757157785044589968at_nat @ A @ A4 )
% 3.29/3.54            & ( member8757157785044589968at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3926_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,R: set_Pr8693737435421807431at_nat,A: product_prod_nat_nat,B: product_prod_nat_nat] :
% 3.29/3.54        ( ( order_8331247224601271455at_nat @ A4 @ R )
% 3.29/3.54       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ R )
% 3.29/3.54         => ( ( member8440522571783428010at_nat @ A @ A4 )
% 3.29/3.54            & ( member8440522571783428010at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3927_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_o,R: set_Product_prod_o_o,A: $o,B: $o] :
% 3.29/3.54        ( ( order_2615775362358406454r_on_o @ A4 @ R )
% 3.29/3.54       => ( ( member7466972457876170832od_o_o @ ( product_Pair_o_o @ A @ B ) @ R )
% 3.29/3.54         => ( ( member_o @ A @ A4 )
% 3.29/3.54            & ( member_o @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3928_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_se5479201105039950375at_nat,R: set_Pr7459493094073627847at_nat,A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( order_423636163458052581at_nat @ A4 @ R )
% 3.29/3.54       => ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ R )
% 3.29/3.54         => ( ( member6273874620674182256at_nat @ A @ A4 )
% 3.29/3.54            & ( member6273874620674182256at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3929_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_se7855581050983116737at_nat,R: set_Pr4329608150637261639at_nat,A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( order_1968183844437341695at_nat @ A4 @ R )
% 3.29/3.54       => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ R )
% 3.29/3.54         => ( ( member2643936169264416010at_nat @ A @ A4 )
% 3.29/3.54            & ( member2643936169264416010at_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3930_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_int,R: set_Pr958786334691620121nt_int,A: int,B: int] :
% 3.29/3.54        ( ( order_2886507596567047182on_int @ A4 @ R )
% 3.29/3.54       => ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ R )
% 3.29/3.54         => ( ( member_int @ A @ A4 )
% 3.29/3.54            & ( member_int @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3931_well__order__on__domain,axiom,
% 3.29/3.54      ! [A4: set_nat,R: set_Pr1261947904930325089at_nat,A: nat,B: nat] :
% 3.29/3.54        ( ( order_2888998067076097458on_nat @ A4 @ R )
% 3.29/3.54       => ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ R )
% 3.29/3.54         => ( ( member_nat @ A @ A4 )
% 3.29/3.54            & ( member_nat @ B @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % well_order_on_domain
% 3.29/3.54  thf(fact_3932_infinite__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_rat] :
% 3.29/3.54        ( ~ ( finite_finite_rat @ S5 )
% 3.29/3.54       => ? [F5: nat > rat] :
% 3.29/3.54            ( ( inj_on_nat_rat @ F5 @ top_top_set_nat )
% 3.29/3.54            & ( ord_less_eq_set_rat @ ( image_nat_rat @ F5 @ top_top_set_nat ) @ S5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_countable_subset
% 3.29/3.54  thf(fact_3933_infinite__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_int] :
% 3.29/3.54        ( ~ ( finite_finite_int @ S5 )
% 3.29/3.54       => ? [F5: nat > int] :
% 3.29/3.54            ( ( inj_on_nat_int @ F5 @ top_top_set_nat )
% 3.29/3.54            & ( ord_less_eq_set_int @ ( image_nat_int @ F5 @ top_top_set_nat ) @ S5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_countable_subset
% 3.29/3.54  thf(fact_3934_infinite__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ~ ( finite6177210948735845034at_nat @ S5 )
% 3.29/3.54       => ? [F5: nat > product_prod_nat_nat] :
% 3.29/3.54            ( ( inj_on5538052773655684606at_nat @ F5 @ top_top_set_nat )
% 3.29/3.54            & ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F5 @ top_top_set_nat ) @ S5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_countable_subset
% 3.29/3.54  thf(fact_3935_infinite__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_nat] :
% 3.29/3.54        ( ~ ( finite_finite_nat @ S5 )
% 3.29/3.54       => ? [F5: nat > nat] :
% 3.29/3.54            ( ( inj_on_nat_nat @ F5 @ top_top_set_nat )
% 3.29/3.54            & ( ord_less_eq_set_nat @ ( image_nat_nat @ F5 @ top_top_set_nat ) @ S5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_countable_subset
% 3.29/3.54  thf(fact_3936_infinite__iff__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_rat] :
% 3.29/3.54        ( ( ~ ( finite_finite_rat @ S5 ) )
% 3.29/3.54        = ( ? [F2: nat > rat] :
% 3.29/3.54              ( ( inj_on_nat_rat @ F2 @ top_top_set_nat )
% 3.29/3.54              & ( ord_less_eq_set_rat @ ( image_nat_rat @ F2 @ top_top_set_nat ) @ S5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_iff_countable_subset
% 3.29/3.54  thf(fact_3937_infinite__iff__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_int] :
% 3.29/3.54        ( ( ~ ( finite_finite_int @ S5 ) )
% 3.29/3.54        = ( ? [F2: nat > int] :
% 3.29/3.54              ( ( inj_on_nat_int @ F2 @ top_top_set_nat )
% 3.29/3.54              & ( ord_less_eq_set_int @ ( image_nat_int @ F2 @ top_top_set_nat ) @ S5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_iff_countable_subset
% 3.29/3.54  thf(fact_3938_infinite__iff__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( ~ ( finite6177210948735845034at_nat @ S5 ) )
% 3.29/3.54        = ( ? [F2: nat > product_prod_nat_nat] :
% 3.29/3.54              ( ( inj_on5538052773655684606at_nat @ F2 @ top_top_set_nat )
% 3.29/3.54              & ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F2 @ top_top_set_nat ) @ S5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_iff_countable_subset
% 3.29/3.54  thf(fact_3939_infinite__iff__countable__subset,axiom,
% 3.29/3.54      ! [S5: set_nat] :
% 3.29/3.54        ( ( ~ ( finite_finite_nat @ S5 ) )
% 3.29/3.54        = ( ? [F2: nat > nat] :
% 3.29/3.54              ( ( inj_on_nat_nat @ F2 @ top_top_set_nat )
% 3.29/3.54              & ( ord_less_eq_set_nat @ ( image_nat_nat @ F2 @ top_top_set_nat ) @ S5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % infinite_iff_countable_subset
% 3.29/3.54  thf(fact_3940_IdE,axiom,
% 3.29/3.54      ! [P: produc859450856879609959at_nat] :
% 3.29/3.54        ( ( member8206827879206165904at_nat @ P @ id_Pro2258643101195443293at_nat )
% 3.29/3.54       => ~ ! [X: product_prod_nat_nat] :
% 3.29/3.54              ( P
% 3.29/3.54             != ( produc6161850002892822231at_nat @ X @ X ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdE
% 3.29/3.54  thf(fact_3941_IdE,axiom,
% 3.29/3.54      ! [P: produc1319942482725812455at_nat] :
% 3.29/3.54        ( ( member1466754251312161552at_nat @ P @ id_set4888139568991089827at_nat )
% 3.29/3.54       => ~ ! [X: set_Pr4329608150637261639at_nat] :
% 3.29/3.54              ( P
% 3.29/3.54             != ( produc9060074326276436823at_nat @ X @ X ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdE
% 3.29/3.54  thf(fact_3942_IdE,axiom,
% 3.29/3.54      ! [P: produc3843707927480180839at_nat] :
% 3.29/3.54        ( ( member8757157785044589968at_nat @ P @ id_set1796276052702428605at_nat )
% 3.29/3.54       => ~ ! [X: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( P
% 3.29/3.54             != ( produc2922128104949294807at_nat @ X @ X ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdE
% 3.29/3.54  thf(fact_3943_IdE,axiom,
% 3.29/3.54      ! [P: product_prod_nat_nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ P @ id_nat2 )
% 3.29/3.54       => ~ ! [X: nat] :
% 3.29/3.54              ( P
% 3.29/3.54             != ( product_Pair_nat_nat @ X @ X ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdE
% 3.29/3.54  thf(fact_3944_IdE,axiom,
% 3.29/3.54      ! [P: product_prod_int_int] :
% 3.29/3.54        ( ( member5262025264175285858nt_int @ P @ id_int2 )
% 3.29/3.54       => ~ ! [X: int] :
% 3.29/3.54              ( P
% 3.29/3.54             != ( product_Pair_int_int @ X @ X ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdE
% 3.29/3.54  thf(fact_3945_IdD,axiom,
% 3.29/3.54      ! [A: product_prod_nat_nat,B: product_prod_nat_nat] :
% 3.29/3.54        ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ A @ B ) @ id_Pro2258643101195443293at_nat )
% 3.29/3.54       => ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdD
% 3.29/3.54  thf(fact_3946_IdD,axiom,
% 3.29/3.54      ! [A: set_Pr4329608150637261639at_nat,B: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( member1466754251312161552at_nat @ ( produc9060074326276436823at_nat @ A @ B ) @ id_set4888139568991089827at_nat )
% 3.29/3.54       => ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdD
% 3.29/3.54  thf(fact_3947_IdD,axiom,
% 3.29/3.54      ! [A: set_Pr1261947904930325089at_nat,B: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ A @ B ) @ id_set1796276052702428605at_nat )
% 3.29/3.54       => ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdD
% 3.29/3.54  thf(fact_3948_IdD,axiom,
% 3.29/3.54      ! [A: nat,B: nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ ( product_Pair_nat_nat @ A @ B ) @ id_nat2 )
% 3.29/3.54       => ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdD
% 3.29/3.54  thf(fact_3949_IdD,axiom,
% 3.29/3.54      ! [A: int,B: int] :
% 3.29/3.54        ( ( member5262025264175285858nt_int @ ( product_Pair_int_int @ A @ B ) @ id_int2 )
% 3.29/3.54       => ( A = B ) ) ).
% 3.29/3.54  
% 3.29/3.54  % IdD
% 3.29/3.54  thf(fact_3950_card__bij__eq,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,B5: set_int,G: int > int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on_int_int @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_int @ ( image_int_int @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_int @ A4 )
% 3.29/3.54               => ( ( finite_finite_int @ B5 )
% 3.29/3.54                 => ( ( finite_card_int @ A4 )
% 3.29/3.54                    = ( finite_card_int @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3951_card__bij__eq,axiom,
% 3.29/3.54      ! [F: rat > nat,A4: set_rat,B5: set_nat,G: nat > rat] :
% 3.29/3.54        ( ( inj_on_rat_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_rat_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on_nat_rat @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_rat @ ( image_nat_rat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_rat @ A4 )
% 3.29/3.54               => ( ( finite_finite_nat @ B5 )
% 3.29/3.54                 => ( ( finite_card_rat @ A4 )
% 3.29/3.54                    = ( finite_card_nat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3952_card__bij__eq,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,B5: set_nat,G: nat > int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on_nat_int @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_int @ ( image_nat_int @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_int @ A4 )
% 3.29/3.54               => ( ( finite_finite_nat @ B5 )
% 3.29/3.54                 => ( ( finite_card_int @ A4 )
% 3.29/3.54                    = ( finite_card_nat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3953_card__bij__eq,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,G: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( inj_on8969904277767023793at_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on8969904277767023793at_nat @ G @ B5 )
% 3.29/3.54           => ( ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54               => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54                 => ( ( finite711546835091564841at_nat @ A4 )
% 3.29/3.54                    = ( finite711546835091564841at_nat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3954_card__bij__eq,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat,B5: set_nat,G: nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( inj_on2178005380612969504at_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on5538052773655684606at_nat @ G @ B5 )
% 3.29/3.54           => ( ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54               => ( ( finite_finite_nat @ B5 )
% 3.29/3.54                 => ( ( finite711546835091564841at_nat @ A4 )
% 3.29/3.54                    = ( finite_card_nat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3955_card__bij__eq,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,B5: set_rat,G: rat > nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on_rat_nat @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_rat_nat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_nat @ A4 )
% 3.29/3.54               => ( ( finite_finite_rat @ B5 )
% 3.29/3.54                 => ( ( finite_card_nat @ A4 )
% 3.29/3.54                    = ( finite_card_rat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3956_card__bij__eq,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,B5: set_int,G: int > nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on_int_nat @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_int_nat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_nat @ A4 )
% 3.29/3.54               => ( ( finite_finite_int @ B5 )
% 3.29/3.54                 => ( ( finite_card_nat @ A4 )
% 3.29/3.54                    = ( finite_card_int @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3957_card__bij__eq,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat,B5: set_Pr1261947904930325089at_nat,G: product_prod_nat_nat > nat] :
% 3.29/3.54        ( ( inj_on5538052773655684606at_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on2178005380612969504at_nat @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_nat @ A4 )
% 3.29/3.54               => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54                 => ( ( finite_card_nat @ A4 )
% 3.29/3.54                    = ( finite711546835091564841at_nat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3958_card__bij__eq,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,B5: set_nat,G: nat > nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( inj_on_nat_nat @ G @ B5 )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ G @ B5 ) @ A4 )
% 3.29/3.54             => ( ( finite_finite_nat @ A4 )
% 3.29/3.54               => ( ( finite_finite_nat @ B5 )
% 3.29/3.54                 => ( ( finite_card_nat @ A4 )
% 3.29/3.54                    = ( finite_card_nat @ B5 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_bij_eq
% 3.29/3.54  thf(fact_3959_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite_card_int @ A4 ) @ ( finite_card_int @ B5 ) )
% 3.29/3.54           => ? [F5: int > int] :
% 3.29/3.54                ( ( ord_less_eq_set_int @ ( image_int_int @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on_int_int @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3960_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite_card_int @ A4 ) @ ( finite_card_nat @ B5 ) )
% 3.29/3.54           => ? [F5: int > nat] :
% 3.29/3.54                ( ( ord_less_eq_set_nat @ ( image_int_nat @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on_int_nat @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3961_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite711546835091564841at_nat @ A4 ) @ ( finite711546835091564841at_nat @ B5 ) )
% 3.29/3.54           => ? [F5: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54                ( ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on8969904277767023793at_nat @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3962_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite711546835091564841at_nat @ A4 ) @ ( finite_card_nat @ B5 ) )
% 3.29/3.54           => ? [F5: product_prod_nat_nat > nat] :
% 3.29/3.54                ( ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on2178005380612969504at_nat @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3963_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_rat @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_rat @ B5 ) )
% 3.29/3.54           => ? [F5: nat > rat] :
% 3.29/3.54                ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on_nat_rat @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3964_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_int @ B5 ) )
% 3.29/3.54           => ? [F5: nat > int] :
% 3.29/3.54                ( ( ord_less_eq_set_int @ ( image_nat_int @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on_nat_int @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3965_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite711546835091564841at_nat @ B5 ) )
% 3.29/3.54           => ? [F5: nat > product_prod_nat_nat] :
% 3.29/3.54                ( ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on5538052773655684606at_nat @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3966_card__le__inj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ B5 )
% 3.29/3.54         => ( ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_nat @ B5 ) )
% 3.29/3.54           => ? [F5: nat > nat] :
% 3.29/3.54                ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F5 @ A4 ) @ B5 )
% 3.29/3.54                & ( inj_on_nat_nat @ F5 @ A4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_le_inj
% 3.29/3.54  thf(fact_3967_card__inj__on__le,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_rat @ B5 )
% 3.29/3.54           => ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_rat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_inj_on_le
% 3.29/3.54  thf(fact_3968_card__inj__on__le,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_int @ B5 )
% 3.29/3.54           => ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_int @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_inj_on_le
% 3.29/3.54  thf(fact_3969_card__inj__on__le,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_int @ B5 )
% 3.29/3.54           => ( ord_less_eq_nat @ ( finite_card_int @ A4 ) @ ( finite_card_int @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_inj_on_le
% 3.29/3.54  thf(fact_3970_card__inj__on__le,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_nat @ B5 )
% 3.29/3.54           => ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_inj_on_le
% 3.29/3.54  thf(fact_3971_card__inj__on__le,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_nat @ B5 )
% 3.29/3.54           => ( ord_less_eq_nat @ ( finite_card_int @ A4 ) @ ( finite_card_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_inj_on_le
% 3.29/3.54  thf(fact_3972_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ B5 )
% 3.29/3.54         => ( ( ? [F2: int > int] :
% 3.29/3.54                  ( ( inj_on_int_int @ F2 @ A4 )
% 3.29/3.54                  & ( ord_less_eq_set_int @ ( image_int_int @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite_card_int @ A4 ) @ ( finite_card_int @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3973_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ B5 )
% 3.29/3.54         => ( ( ? [F2: int > nat] :
% 3.29/3.54                  ( ( inj_on_int_nat @ F2 @ A4 )
% 3.29/3.54                  & ( ord_less_eq_set_nat @ ( image_int_nat @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite_card_int @ A4 ) @ ( finite_card_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3974_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54         => ( ( ? [F2: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54                  ( ( inj_on8969904277767023793at_nat @ F2 @ A4 )
% 3.29/3.54                  & ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite711546835091564841at_nat @ A4 ) @ ( finite711546835091564841at_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3975_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ B5 )
% 3.29/3.54         => ( ( ? [F2: product_prod_nat_nat > nat] :
% 3.29/3.54                  ( ( inj_on2178005380612969504at_nat @ F2 @ A4 )
% 3.29/3.54                  & ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite711546835091564841at_nat @ A4 ) @ ( finite_card_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3976_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_rat @ B5 )
% 3.29/3.54         => ( ( ? [F2: nat > rat] :
% 3.29/3.54                  ( ( inj_on_nat_rat @ F2 @ A4 )
% 3.29/3.54                  & ( ord_less_eq_set_rat @ ( image_nat_rat @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_rat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3977_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ B5 )
% 3.29/3.54         => ( ( ? [F2: nat > int] :
% 3.29/3.54                  ( ( inj_on_nat_int @ F2 @ A4 )
% 3.29/3.54                  & ( ord_less_eq_set_int @ ( image_nat_int @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_int @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3978_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54         => ( ( ? [F2: nat > product_prod_nat_nat] :
% 3.29/3.54                  ( ( inj_on5538052773655684606at_nat @ F2 @ A4 )
% 3.29/3.54                  & ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite711546835091564841at_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3979_inj__on__iff__card__le,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ B5 )
% 3.29/3.54         => ( ( ? [F2: nat > nat] :
% 3.29/3.54                  ( ( inj_on_nat_nat @ F2 @ A4 )
% 3.29/3.54                  & ( ord_less_eq_set_nat @ ( image_nat_nat @ F2 @ A4 ) @ B5 ) ) )
% 3.29/3.54            = ( ord_less_eq_nat @ ( finite_card_nat @ A4 ) @ ( finite_card_nat @ B5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_iff_card_le
% 3.29/3.54  thf(fact_3980_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_int,T3: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ S5 )
% 3.29/3.54       => ( ( finite_finite_int @ T3 )
% 3.29/3.54         => ( ( ( finite_card_int @ S5 )
% 3.29/3.54              = ( finite_card_int @ T3 ) )
% 3.29/3.54           => ( ( ord_less_eq_set_int @ ( image_int_int @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: int] :
% 3.29/3.54                      ( ( member_int @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: int] :
% 3.29/3.54                          ( ( member_int @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on_int_int @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3981_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_int,T3: set_nat,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ S5 )
% 3.29/3.54       => ( ( finite_finite_nat @ T3 )
% 3.29/3.54         => ( ( ( finite_card_int @ S5 )
% 3.29/3.54              = ( finite_card_nat @ T3 ) )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: nat] :
% 3.29/3.54                      ( ( member_nat @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: int] :
% 3.29/3.54                          ( ( member_int @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on_int_nat @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3982_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_Pr1261947904930325089at_nat,T3: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ S5 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ T3 )
% 3.29/3.54         => ( ( ( finite711546835091564841at_nat @ S5 )
% 3.29/3.54              = ( finite711546835091564841at_nat @ T3 ) )
% 3.29/3.54           => ( ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: product_prod_nat_nat] :
% 3.29/3.54                      ( ( member8440522571783428010at_nat @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: product_prod_nat_nat] :
% 3.29/3.54                          ( ( member8440522571783428010at_nat @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on8969904277767023793at_nat @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3983_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_Pr1261947904930325089at_nat,T3: set_nat,F: product_prod_nat_nat > nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ S5 )
% 3.29/3.54       => ( ( finite_finite_nat @ T3 )
% 3.29/3.54         => ( ( ( finite711546835091564841at_nat @ S5 )
% 3.29/3.54              = ( finite_card_nat @ T3 ) )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: nat] :
% 3.29/3.54                      ( ( member_nat @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: product_prod_nat_nat] :
% 3.29/3.54                          ( ( member8440522571783428010at_nat @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on2178005380612969504at_nat @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3984_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_nat,T3: set_rat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ S5 )
% 3.29/3.54       => ( ( finite_finite_rat @ T3 )
% 3.29/3.54         => ( ( ( finite_card_nat @ S5 )
% 3.29/3.54              = ( finite_card_rat @ T3 ) )
% 3.29/3.54           => ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: rat] :
% 3.29/3.54                      ( ( member_rat @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: nat] :
% 3.29/3.54                          ( ( member_nat @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on_nat_rat @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3985_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_nat,T3: set_int,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ S5 )
% 3.29/3.54       => ( ( finite_finite_int @ T3 )
% 3.29/3.54         => ( ( ( finite_card_nat @ S5 )
% 3.29/3.54              = ( finite_card_int @ T3 ) )
% 3.29/3.54           => ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: int] :
% 3.29/3.54                      ( ( member_int @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: nat] :
% 3.29/3.54                          ( ( member_nat @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on_nat_int @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3986_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_nat,T3: set_Pr1261947904930325089at_nat,F: nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ S5 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ T3 )
% 3.29/3.54         => ( ( ( finite_card_nat @ S5 )
% 3.29/3.54              = ( finite711546835091564841at_nat @ T3 ) )
% 3.29/3.54           => ( ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: product_prod_nat_nat] :
% 3.29/3.54                      ( ( member8440522571783428010at_nat @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: nat] :
% 3.29/3.54                          ( ( member_nat @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on5538052773655684606at_nat @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3987_surjective__iff__injective__gen,axiom,
% 3.29/3.54      ! [S5: set_nat,T3: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ S5 )
% 3.29/3.54       => ( ( finite_finite_nat @ T3 )
% 3.29/3.54         => ( ( ( finite_card_nat @ S5 )
% 3.29/3.54              = ( finite_card_nat @ T3 ) )
% 3.29/3.54           => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ S5 ) @ T3 )
% 3.29/3.54             => ( ( ! [X4: nat] :
% 3.29/3.54                      ( ( member_nat @ X4 @ T3 )
% 3.29/3.54                     => ? [Y5: nat] :
% 3.29/3.54                          ( ( member_nat @ Y5 @ S5 )
% 3.29/3.54                          & ( ( F @ Y5 )
% 3.29/3.54                            = X4 ) ) ) )
% 3.29/3.54                = ( inj_on_nat_nat @ F @ S5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % surjective_iff_injective_gen
% 3.29/3.54  thf(fact_3988_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > int] :
% 3.29/3.54        ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ? [X: int] :
% 3.29/3.54              ( ( member_int @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_int
% 3.29/3.54                  @ ( collect_int
% 3.29/3.54                    @ ^ [A5: int] :
% 3.29/3.54                        ( ( member_int @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3989_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_o,F: $o > nat] :
% 3.29/3.54        ( ~ ( finite_finite_o @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_o_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: $o] :
% 3.29/3.54              ( ( member_o @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_o
% 3.29/3.54                  @ ( collect_o
% 3.29/3.54                    @ ^ [A5: $o] :
% 3.29/3.54                        ( ( member_o @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3990_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > nat] :
% 3.29/3.54        ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: int] :
% 3.29/3.54              ( ( member_int @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_int
% 3.29/3.54                  @ ( collect_int
% 3.29/3.54                    @ ^ [A5: int] :
% 3.29/3.54                        ( ( member_int @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3991_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > rat] :
% 3.29/3.54        ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_nat
% 3.29/3.54                  @ ( collect_nat
% 3.29/3.54                    @ ^ [A5: nat] :
% 3.29/3.54                        ( ( member_nat @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3992_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > int] :
% 3.29/3.54        ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_nat
% 3.29/3.54                  @ ( collect_nat
% 3.29/3.54                    @ ^ [A5: nat] :
% 3.29/3.54                        ( ( member_nat @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3993_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.54        ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_nat
% 3.29/3.54                  @ ( collect_nat
% 3.29/3.54                    @ ^ [A5: nat] :
% 3.29/3.54                        ( ( member_nat @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3994_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_o,F: $o > product_prod_nat_nat] :
% 3.29/3.54        ( ~ ( finite_finite_o @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ ( image_3855930084881510382at_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: $o] :
% 3.29/3.54              ( ( member_o @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_o
% 3.29/3.54                  @ ( collect_o
% 3.29/3.54                    @ ^ [A5: $o] :
% 3.29/3.54                        ( ( member_o @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3995_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > product_prod_nat_nat] :
% 3.29/3.54        ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ ( image_8883965892284119310at_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: int] :
% 3.29/3.54              ( ( member_int @ X @ A4 )
% 3.29/3.54              & ~ ( finite_finite_int
% 3.29/3.54                  @ ( collect_int
% 3.29/3.54                    @ ^ [A5: int] :
% 3.29/3.54                        ( ( member_int @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3996_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_Pr958786334691620121nt_int,F: product_prod_int_int > nat] :
% 3.29/3.54        ( ~ ( finite2998713641127702882nt_int @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_5044651549707136836nt_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: product_prod_int_int] :
% 3.29/3.54              ( ( member5262025264175285858nt_int @ X @ A4 )
% 3.29/3.54              & ~ ( finite2998713641127702882nt_int
% 3.29/3.54                  @ ( collec213857154873943460nt_int
% 3.29/3.54                    @ ^ [A5: product_prod_int_int] :
% 3.29/3.54                        ( ( member5262025264175285858nt_int @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3997_pigeonhole__infinite,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > nat] :
% 3.29/3.54        ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54         => ? [X: product_prod_nat_nat] :
% 3.29/3.54              ( ( member8440522571783428010at_nat @ X @ A4 )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat
% 3.29/3.54                  @ ( collec3392354462482085612at_nat
% 3.29/3.54                    @ ^ [A5: product_prod_nat_nat] :
% 3.29/3.54                        ( ( member8440522571783428010at_nat @ A5 @ A4 )
% 3.29/3.54                        & ( ( F @ A5 )
% 3.29/3.54                          = ( F @ X ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pigeonhole_infinite
% 3.29/3.54  thf(fact_3998_snds_Ointros,axiom,
% 3.29/3.54      ! [P: produc7812382424243267045t_unit] : ( member242389114213480694t_unit @ ( produc1126150082675451753t_unit @ P ) @ ( basic_1496934909540232809t_unit @ P ) ) ).
% 3.29/3.54  
% 3.29/3.54  % snds.intros
% 3.29/3.54  thf(fact_3999_snds_Osimps,axiom,
% 3.29/3.54      ! [A: heap_e7401611519738050253t_unit,P: produc7812382424243267045t_unit] :
% 3.29/3.54        ( ( member242389114213480694t_unit @ A @ ( basic_1496934909540232809t_unit @ P ) )
% 3.29/3.54        = ( A
% 3.29/3.54          = ( produc1126150082675451753t_unit @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % snds.simps
% 3.29/3.54  thf(fact_4000_snds_Ocases,axiom,
% 3.29/3.54      ! [A: heap_e7401611519738050253t_unit,P: produc7812382424243267045t_unit] :
% 3.29/3.54        ( ( member242389114213480694t_unit @ A @ ( basic_1496934909540232809t_unit @ P ) )
% 3.29/3.54       => ( A
% 3.29/3.54          = ( produc1126150082675451753t_unit @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % snds.cases
% 3.29/3.54  thf(fact_4001_card__image,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( finite_card_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54          = ( finite_card_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image
% 3.29/3.54  thf(fact_4002_card__image,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite_card_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite_card_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image
% 3.29/3.54  thf(fact_4003_card__image,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( finite_card_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54          = ( finite_card_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image
% 3.29/3.54  thf(fact_4004_card__image,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite_card_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite_card_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image
% 3.29/3.54  thf(fact_4005_card__image,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( finite_card_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54          = ( finite_card_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card_image
% 3.29/3.54  thf(fact_4006_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,P2: set_int > $o] :
% 3.29/3.54        ( ( ! [B6: set_int] :
% 3.29/3.54              ( ( ( finite_finite_int @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_int @ B6 @ ( image_int_int @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_int] :
% 3.29/3.54              ( ( ( finite_finite_int @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_int @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_int_int @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4007_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,P2: set_rat > $o] :
% 3.29/3.54        ( ( ! [B6: set_rat] :
% 3.29/3.54              ( ( ( finite_finite_rat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_rat @ B6 @ ( image_nat_rat @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_nat_rat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4008_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,P2: set_int > $o] :
% 3.29/3.54        ( ( ! [B6: set_int] :
% 3.29/3.54              ( ( ( finite_finite_int @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_int @ B6 @ ( image_nat_int @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_nat_int @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4009_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,P2: set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.54        ( ( ! [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54                & ( ord_le3146513528884898305at_nat @ B6 @ ( image_5168914502847457605at_nat @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54                & ( ord_le3146513528884898305at_nat @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_5168914502847457605at_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4010_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat,P2: set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.54        ( ( ! [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54                & ( ord_le3146513528884898305at_nat @ B6 @ ( image_5846123807819985514at_nat @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_5846123807819985514at_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4011_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,P2: set_nat > $o] :
% 3.29/3.54        ( ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ ( image_int_nat @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_int] :
% 3.29/3.54              ( ( ( finite_finite_int @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_int @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_int_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4012_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat,P2: set_nat > $o] :
% 3.29/3.54        ( ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ ( image_2486076414777270412at_nat @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54                & ( ord_le3146513528884898305at_nat @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_2486076414777270412at_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4013_all__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,P2: set_nat > $o] :
% 3.29/3.54        ( ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ ( image_nat_nat @ F @ A4 ) ) )
% 3.29/3.54             => ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ! [B6: set_nat] :
% 3.29/3.54              ( ( ( finite_finite_nat @ B6 )
% 3.29/3.54                & ( ord_less_eq_set_nat @ B6 @ A4 ) )
% 3.29/3.54             => ( P2 @ ( image_nat_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % all_finite_subset_image
% 3.29/3.54  thf(fact_4014_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,P2: set_int > $o] :
% 3.29/3.54        ( ( ? [B6: set_int] :
% 3.29/3.54              ( ( finite_finite_int @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_int @ B6 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_int] :
% 3.29/3.54              ( ( finite_finite_int @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_int @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_int_int @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4015_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,P2: set_rat > $o] :
% 3.29/3.54        ( ( ? [B6: set_rat] :
% 3.29/3.54              ( ( finite_finite_rat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_rat @ B6 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_nat_rat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4016_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,P2: set_int > $o] :
% 3.29/3.54        ( ( ? [B6: set_int] :
% 3.29/3.54              ( ( finite_finite_int @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_int @ B6 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_nat_int @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4017_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,P2: set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.54        ( ( ? [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54              & ( ord_le3146513528884898305at_nat @ B6 @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54              & ( ord_le3146513528884898305at_nat @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_5168914502847457605at_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4018_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat,P2: set_Pr1261947904930325089at_nat > $o] :
% 3.29/3.54        ( ( ? [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54              & ( ord_le3146513528884898305at_nat @ B6 @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_5846123807819985514at_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4019_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,P2: set_nat > $o] :
% 3.29/3.54        ( ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_int] :
% 3.29/3.54              ( ( finite_finite_int @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_int @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_int_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4020_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat,P2: set_nat > $o] :
% 3.29/3.54        ( ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( finite6177210948735845034at_nat @ B6 )
% 3.29/3.54              & ( ord_le3146513528884898305at_nat @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_2486076414777270412at_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4021_ex__finite__subset__image,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,P2: set_nat > $o] :
% 3.29/3.54        ( ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54              & ( P2 @ B6 ) ) )
% 3.29/3.54        = ( ? [B6: set_nat] :
% 3.29/3.54              ( ( finite_finite_nat @ B6 )
% 3.29/3.54              & ( ord_less_eq_set_nat @ B6 @ A4 )
% 3.29/3.54              & ( P2 @ ( image_nat_nat @ F @ B6 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % ex_finite_subset_image
% 3.29/3.54  thf(fact_4022_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_int,F: int > int,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_int @ B5 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_int] :
% 3.29/3.54              ( ( ord_less_eq_set_int @ C2 @ A4 )
% 3.29/3.54              & ( finite_finite_int @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_int_int @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4023_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_rat,F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_rat @ B5 )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_nat] :
% 3.29/3.54              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.54              & ( finite_finite_nat @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_nat_rat @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4024_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_int,F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ B5 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_nat] :
% 3.29/3.54              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.54              & ( finite_finite_nat @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_nat_int @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4025_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ B5 @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( ord_le3146513528884898305at_nat @ C2 @ A4 )
% 3.29/3.54              & ( finite6177210948735845034at_nat @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_5168914502847457605at_nat @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4026_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_Pr1261947904930325089at_nat,F: nat > product_prod_nat_nat,A4: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ B5 @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_nat] :
% 3.29/3.54              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.54              & ( finite_finite_nat @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_5846123807819985514at_nat @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4027_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_nat,F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ B5 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_int] :
% 3.29/3.54              ( ( ord_less_eq_set_int @ C2 @ A4 )
% 3.29/3.54              & ( finite_finite_int @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_int_nat @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4028_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_nat,F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ B5 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_Pr1261947904930325089at_nat] :
% 3.29/3.54              ( ( ord_le3146513528884898305at_nat @ C2 @ A4 )
% 3.29/3.54              & ( finite6177210948735845034at_nat @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_2486076414777270412at_nat @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4029_finite__subset__image,axiom,
% 3.29/3.54      ! [B5: set_nat,F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ B5 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ? [C2: set_nat] :
% 3.29/3.54              ( ( ord_less_eq_set_nat @ C2 @ A4 )
% 3.29/3.54              & ( finite_finite_nat @ C2 )
% 3.29/3.54              & ( B5
% 3.29/3.54                = ( image_nat_nat @ F @ C2 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_subset_image
% 3.29/3.54  thf(fact_4030_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ( finite_finite_int @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4031_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_int,B5: set_nat,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54         => ( finite_finite_nat @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4032_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ B5 @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4033_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,B5: set_nat,F: product_prod_nat_nat > nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54         => ( finite_finite_nat @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4034_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_rat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ B5 @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54         => ( finite_finite_rat @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4035_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_int,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ B5 @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54         => ( finite_finite_int @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4036_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_Pr1261947904930325089at_nat,F: nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ B5 @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4037_finite__surj,axiom,
% 3.29/3.54      ! [A4: set_nat,B5: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ B5 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ( finite_finite_nat @ B5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj
% 3.29/3.54  thf(fact_4038_finite__image__iff,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54          = ( finite_finite_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4039_finite__image__iff,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( finite_finite_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54          = ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4040_finite__image__iff,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( finite_finite_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54          = ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4041_finite__image__iff,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( inj_on8969904277767023793at_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite6177210948735845034at_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4042_finite__image__iff,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on5538052773655684606at_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite6177210948735845034at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4043_finite__image__iff,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite_finite_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4044_finite__image__iff,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( inj_on2178005380612969504at_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite6177210948735845034at_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4045_finite__image__iff,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( finite_finite_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54          = ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_image_iff
% 3.29/3.54  thf(fact_4046_finite__imageD,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54         => ( finite_finite_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4047_finite__imageD,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( image_nat_rat @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54         => ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4048_finite__imageD,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_nat_int @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54         => ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4049_finite__imageD,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on8969904277767023793at_nat @ F @ A4 )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4050_finite__imageD,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on5538052773655684606at_nat @ F @ A4 )
% 3.29/3.54         => ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4051_finite__imageD,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54         => ( finite_finite_int @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4052_finite__imageD,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on2178005380612969504at_nat @ F @ A4 )
% 3.29/3.54         => ( finite6177210948735845034at_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4053_finite__imageD,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54       => ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54         => ( finite_finite_nat @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_imageD
% 3.29/3.54  thf(fact_4054_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: char > nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_char_nat @ G @ top_top_set_char ) )
% 3.29/3.54       => ( finite_finite_nat
% 3.29/3.54          @ ( image_char_nat
% 3.29/3.54            @ ^ [X4: char] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_char ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4055_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: rat > nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_rat_nat @ G @ top_top_set_rat ) )
% 3.29/3.54       => ( finite_finite_nat
% 3.29/3.54          @ ( image_rat_nat
% 3.29/3.54            @ ^ [X4: rat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_rat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4056_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > rat,F: rat > rat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( image_nat_rat @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_rat
% 3.29/3.54          @ ( image_nat_rat
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4057_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > rat,F: rat > int] :
% 3.29/3.54        ( ( finite_finite_rat @ ( image_nat_rat @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_int
% 3.29/3.54          @ ( image_nat_int
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4058_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > int,F: int > rat] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_nat_int @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_rat
% 3.29/3.54          @ ( image_nat_rat
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4059_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_nat_int @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_int
% 3.29/3.54          @ ( image_nat_int
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4060_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > rat,F: rat > nat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( image_nat_rat @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_nat
% 3.29/3.54          @ ( image_nat_nat
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4061_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > int,F: int > nat] :
% 3.29/3.54        ( ( finite_finite_int @ ( image_nat_int @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_nat
% 3.29/3.54          @ ( image_nat_nat
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4062_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > nat,F: nat > rat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_nat_nat @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_rat
% 3.29/3.54          @ ( image_nat_rat
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4063_finite__range__imageI,axiom,
% 3.29/3.54      ! [G: nat > nat,F: nat > int] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_nat_nat @ G @ top_top_set_nat ) )
% 3.29/3.54       => ( finite_finite_int
% 3.29/3.54          @ ( image_nat_int
% 3.29/3.54            @ ^ [X4: nat] : ( F @ ( G @ X4 ) )
% 3.29/3.54            @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_range_imageI
% 3.29/3.54  thf(fact_4064_Id__fstsnd__eq,axiom,
% 3.29/3.54      ( id_Pro2258643101195443293at_nat
% 3.29/3.54      = ( collec7088162979684241874at_nat
% 3.29/3.54        @ ^ [X4: produc859450856879609959at_nat] :
% 3.29/3.54            ( ( produc3213797794245857475at_nat @ X4 )
% 3.29/3.54            = ( produc6408287024330202629at_nat @ X4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Id_fstsnd_eq
% 3.29/3.54  thf(fact_4065_Id__fstsnd__eq,axiom,
% 3.29/3.54      ( id_nat2
% 3.29/3.54      = ( collec3392354462482085612at_nat
% 3.29/3.54        @ ^ [X4: product_prod_nat_nat] :
% 3.29/3.54            ( ( product_fst_nat_nat @ X4 )
% 3.29/3.54            = ( product_snd_nat_nat @ X4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Id_fstsnd_eq
% 3.29/3.54  thf(fact_4066_Id__fstsnd__eq,axiom,
% 3.29/3.54      ( id_int2
% 3.29/3.54      = ( collec213857154873943460nt_int
% 3.29/3.54        @ ^ [X4: product_prod_int_int] :
% 3.29/3.54            ( ( product_fst_int_int @ X4 )
% 3.29/3.54            = ( product_snd_int_int @ X4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Id_fstsnd_eq
% 3.29/3.54  thf(fact_4067_finite__surj__inj,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ A4 @ ( image_int_int @ F @ A4 ) )
% 3.29/3.54         => ( inj_on_int_int @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj_inj
% 3.29/3.54  thf(fact_4068_finite__surj__inj,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ A4 @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54         => ( inj_on8969904277767023793at_nat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj_inj
% 3.29/3.54  thf(fact_4069_finite__surj__inj,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ A4 @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54         => ( inj_on_nat_nat @ F @ A4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_surj_inj
% 3.29/3.54  thf(fact_4070_inj__on__finite,axiom,
% 3.29/3.54      ! [F: int > int,A4: set_int,B5: set_int] :
% 3.29/3.54        ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_int @ B5 )
% 3.29/3.54           => ( finite_finite_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4071_inj__on__finite,axiom,
% 3.29/3.54      ! [F: nat > rat,A4: set_nat,B5: set_rat] :
% 3.29/3.54        ( ( inj_on_nat_rat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_rat @ ( image_nat_rat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_rat @ B5 )
% 3.29/3.54           => ( finite_finite_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4072_inj__on__finite,axiom,
% 3.29/3.54      ! [F: nat > int,A4: set_nat,B5: set_int] :
% 3.29/3.54        ( ( inj_on_nat_int @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_nat_int @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_int @ B5 )
% 3.29/3.54           => ( finite_finite_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4073_inj__on__finite,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( inj_on8969904277767023793at_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54           => ( finite6177210948735845034at_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4074_inj__on__finite,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat,B5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( inj_on5538052773655684606at_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite6177210948735845034at_nat @ B5 )
% 3.29/3.54           => ( finite_finite_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4075_inj__on__finite,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_int_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_int_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_nat @ B5 )
% 3.29/3.54           => ( finite_finite_int @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4076_inj__on__finite,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat,B5: set_nat] :
% 3.29/3.54        ( ( inj_on2178005380612969504at_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_2486076414777270412at_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_nat @ B5 )
% 3.29/3.54           => ( finite6177210948735845034at_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4077_inj__on__finite,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat,B5: set_nat] :
% 3.29/3.54        ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ B5 )
% 3.29/3.54         => ( ( finite_finite_nat @ B5 )
% 3.29/3.54           => ( finite_finite_nat @ A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inj_on_finite
% 3.29/3.54  thf(fact_4078_endo__inj__surj,axiom,
% 3.29/3.54      ! [A4: set_int,F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_int @ ( image_int_int @ F @ A4 ) @ A4 )
% 3.29/3.54         => ( ( inj_on_int_int @ F @ A4 )
% 3.29/3.54           => ( ( image_int_int @ F @ A4 )
% 3.29/3.54              = A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % endo_inj_surj
% 3.29/3.54  thf(fact_4079_endo__inj__surj,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat,F: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54       => ( ( ord_le3146513528884898305at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) @ A4 )
% 3.29/3.54         => ( ( inj_on8969904277767023793at_nat @ F @ A4 )
% 3.29/3.54           => ( ( image_5168914502847457605at_nat @ F @ A4 )
% 3.29/3.54              = A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % endo_inj_surj
% 3.29/3.54  thf(fact_4080_endo__inj__surj,axiom,
% 3.29/3.54      ! [A4: set_nat,F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ A4 )
% 3.29/3.54       => ( ( ord_less_eq_set_nat @ ( image_nat_nat @ F @ A4 ) @ A4 )
% 3.29/3.54         => ( ( inj_on_nat_nat @ F @ A4 )
% 3.29/3.54           => ( ( image_nat_nat @ F @ A4 )
% 3.29/3.54              = A4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % endo_inj_surj
% 3.29/3.54  thf(fact_4081_finite__UNIV__surj__inj,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ top_to4669805908274784177at_nat )
% 3.29/3.54       => ( ( ( image_5168914502847457605at_nat @ F @ top_to4669805908274784177at_nat )
% 3.29/3.54            = top_to4669805908274784177at_nat )
% 3.29/3.54         => ( inj_on8969904277767023793at_nat @ F @ top_to4669805908274784177at_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_surj_inj
% 3.29/3.54  thf(fact_4082_finite__UNIV__surj__inj,axiom,
% 3.29/3.54      ! [F: char > char] :
% 3.29/3.54        ( ( finite_finite_char @ top_top_set_char )
% 3.29/3.54       => ( ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.54            = top_top_set_char )
% 3.29/3.54         => ( inj_on_char_char @ F @ top_top_set_char ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_surj_inj
% 3.29/3.54  thf(fact_4083_finite__UNIV__surj__inj,axiom,
% 3.29/3.54      ! [F: list_nat > list_nat] :
% 3.29/3.54        ( ( finite8100373058378681591st_nat @ top_top_set_list_nat )
% 3.29/3.54       => ( ( ( image_7976474329151083847st_nat @ F @ top_top_set_list_nat )
% 3.29/3.54            = top_top_set_list_nat )
% 3.29/3.54         => ( inj_on3049792774292151987st_nat @ F @ top_top_set_list_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_surj_inj
% 3.29/3.54  thf(fact_4084_finite__UNIV__surj__inj,axiom,
% 3.29/3.54      ! [F: rat > rat] :
% 3.29/3.54        ( ( finite_finite_rat @ top_top_set_rat )
% 3.29/3.54       => ( ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.54            = top_top_set_rat )
% 3.29/3.54         => ( inj_on_rat_rat @ F @ top_top_set_rat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_surj_inj
% 3.29/3.54  thf(fact_4085_finite__UNIV__surj__inj,axiom,
% 3.29/3.54      ! [F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ top_top_set_nat )
% 3.29/3.54       => ( ( ( image_nat_nat @ F @ top_top_set_nat )
% 3.29/3.54            = top_top_set_nat )
% 3.29/3.54         => ( inj_on_nat_nat @ F @ top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_surj_inj
% 3.29/3.54  thf(fact_4086_finite__UNIV__surj__inj,axiom,
% 3.29/3.54      ! [F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ top_top_set_int )
% 3.29/3.54       => ( ( ( image_int_int @ F @ top_top_set_int )
% 3.29/3.54            = top_top_set_int )
% 3.29/3.54         => ( inj_on_int_int @ F @ top_top_set_int ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_surj_inj
% 3.29/3.54  thf(fact_4087_finite__UNIV__inj__surj,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ top_to4669805908274784177at_nat )
% 3.29/3.54       => ( ( inj_on8969904277767023793at_nat @ F @ top_to4669805908274784177at_nat )
% 3.29/3.54         => ( ( image_5168914502847457605at_nat @ F @ top_to4669805908274784177at_nat )
% 3.29/3.54            = top_to4669805908274784177at_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_inj_surj
% 3.29/3.54  thf(fact_4088_finite__UNIV__inj__surj,axiom,
% 3.29/3.54      ! [F: char > char] :
% 3.29/3.54        ( ( finite_finite_char @ top_top_set_char )
% 3.29/3.54       => ( ( inj_on_char_char @ F @ top_top_set_char )
% 3.29/3.54         => ( ( image_char_char @ F @ top_top_set_char )
% 3.29/3.54            = top_top_set_char ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_inj_surj
% 3.29/3.54  thf(fact_4089_finite__UNIV__inj__surj,axiom,
% 3.29/3.54      ! [F: list_nat > list_nat] :
% 3.29/3.54        ( ( finite8100373058378681591st_nat @ top_top_set_list_nat )
% 3.29/3.54       => ( ( inj_on3049792774292151987st_nat @ F @ top_top_set_list_nat )
% 3.29/3.54         => ( ( image_7976474329151083847st_nat @ F @ top_top_set_list_nat )
% 3.29/3.54            = top_top_set_list_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_inj_surj
% 3.29/3.54  thf(fact_4090_finite__UNIV__inj__surj,axiom,
% 3.29/3.54      ! [F: rat > rat] :
% 3.29/3.54        ( ( finite_finite_rat @ top_top_set_rat )
% 3.29/3.54       => ( ( inj_on_rat_rat @ F @ top_top_set_rat )
% 3.29/3.54         => ( ( image_rat_rat @ F @ top_top_set_rat )
% 3.29/3.54            = top_top_set_rat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_inj_surj
% 3.29/3.54  thf(fact_4091_finite__UNIV__inj__surj,axiom,
% 3.29/3.54      ! [F: nat > nat] :
% 3.29/3.54        ( ( finite_finite_nat @ top_top_set_nat )
% 3.29/3.54       => ( ( inj_on_nat_nat @ F @ top_top_set_nat )
% 3.29/3.54         => ( ( image_nat_nat @ F @ top_top_set_nat )
% 3.29/3.54            = top_top_set_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_inj_surj
% 3.29/3.54  thf(fact_4092_finite__UNIV__inj__surj,axiom,
% 3.29/3.54      ! [F: int > int] :
% 3.29/3.54        ( ( finite_finite_int @ top_top_set_int )
% 3.29/3.54       => ( ( inj_on_int_int @ F @ top_top_set_int )
% 3.29/3.54         => ( ( image_int_int @ F @ top_top_set_int )
% 3.29/3.54            = top_top_set_int ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_UNIV_inj_surj
% 3.29/3.54  thf(fact_4093_finite__vimageD,axiom,
% 3.29/3.54      ! [H: char > char,F4: set_char] :
% 3.29/3.54        ( ( finite_finite_char @ ( vimage_char_char @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_char_char @ H @ top_top_set_char )
% 3.29/3.54            = top_top_set_char )
% 3.29/3.54         => ( finite_finite_char @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4094_finite__vimageD,axiom,
% 3.29/3.54      ! [H: char > rat,F4: set_rat] :
% 3.29/3.54        ( ( finite_finite_char @ ( vimage_char_rat @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_char_rat @ H @ top_top_set_char )
% 3.29/3.54            = top_top_set_rat )
% 3.29/3.54         => ( finite_finite_rat @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4095_finite__vimageD,axiom,
% 3.29/3.54      ! [H: char > nat,F4: set_nat] :
% 3.29/3.54        ( ( finite_finite_char @ ( vimage_char_nat @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_char_nat @ H @ top_top_set_char )
% 3.29/3.54            = top_top_set_nat )
% 3.29/3.54         => ( finite_finite_nat @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4096_finite__vimageD,axiom,
% 3.29/3.54      ! [H: char > int,F4: set_int] :
% 3.29/3.54        ( ( finite_finite_char @ ( vimage_char_int @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_char_int @ H @ top_top_set_char )
% 3.29/3.54            = top_top_set_int )
% 3.29/3.54         => ( finite_finite_int @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4097_finite__vimageD,axiom,
% 3.29/3.54      ! [H: rat > char,F4: set_char] :
% 3.29/3.54        ( ( finite_finite_rat @ ( vimage_rat_char @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_rat_char @ H @ top_top_set_rat )
% 3.29/3.54            = top_top_set_char )
% 3.29/3.54         => ( finite_finite_char @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4098_finite__vimageD,axiom,
% 3.29/3.54      ! [H: rat > rat,F4: set_rat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( vimage_rat_rat @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_rat_rat @ H @ top_top_set_rat )
% 3.29/3.54            = top_top_set_rat )
% 3.29/3.54         => ( finite_finite_rat @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4099_finite__vimageD,axiom,
% 3.29/3.54      ! [H: rat > nat,F4: set_nat] :
% 3.29/3.54        ( ( finite_finite_rat @ ( vimage_rat_nat @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_rat_nat @ H @ top_top_set_rat )
% 3.29/3.54            = top_top_set_nat )
% 3.29/3.54         => ( finite_finite_nat @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4100_finite__vimageD,axiom,
% 3.29/3.54      ! [H: rat > int,F4: set_int] :
% 3.29/3.54        ( ( finite_finite_rat @ ( vimage_rat_int @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_rat_int @ H @ top_top_set_rat )
% 3.29/3.54            = top_top_set_int )
% 3.29/3.54         => ( finite_finite_int @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4101_finite__vimageD,axiom,
% 3.29/3.54      ! [H: nat > char,F4: set_char] :
% 3.29/3.54        ( ( finite_finite_nat @ ( vimage_nat_char @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_nat_char @ H @ top_top_set_nat )
% 3.29/3.54            = top_top_set_char )
% 3.29/3.54         => ( finite_finite_char @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4102_finite__vimageD,axiom,
% 3.29/3.54      ! [H: nat > rat,F4: set_rat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( vimage_nat_rat @ H @ F4 ) )
% 3.29/3.54       => ( ( ( image_nat_rat @ H @ top_top_set_nat )
% 3.29/3.54            = top_top_set_rat )
% 3.29/3.54         => ( finite_finite_rat @ F4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % finite_vimageD
% 3.29/3.54  thf(fact_4103_prod__set__defs_I2_J,axiom,
% 3.29/3.54      ( basic_1496934909540232809t_unit
% 3.29/3.54      = ( ^ [P3: produc7812382424243267045t_unit] : ( insert8563697753282147485t_unit @ ( produc1126150082675451753t_unit @ P3 ) @ bot_bo3686245532977126937t_unit ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_set_defs(2)
% 3.29/3.54  thf(fact_4104_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: nat > product_unit,A4: set_nat] :
% 3.29/3.54        ( ( finite4290736615968046902t_unit @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: product_unit] :
% 3.29/3.54              ( ( member_Product_unit @ X @ ( image_8730104196221521654t_unit @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( vimage4884490618288580032t_unit @ F @ ( insert_Product_unit @ X @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4105_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: nat > $o,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_o @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: $o] :
% 3.29/3.54              ( ( member_o @ X @ ( image_nat_o @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( vimage_nat_o @ F @ ( insert_o @ X @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4106_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: int > nat,A4: set_int] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_int @ A4 )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ ( image_int_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_int @ ( vimage_int_nat @ F @ ( insert_nat @ X @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4107_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: nat > nat,A4: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ ( image_nat_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( vimage_nat_nat @ F @ ( insert_nat @ X @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4108_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_unit,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite4290736615968046902t_unit @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ? [X: product_unit] :
% 3.29/3.54              ( ( member_Product_unit @ X @ ( image_6169909464789311569t_unit @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat @ ( vimage3104651464403166471t_unit @ F @ ( insert_Product_unit @ X @ bot_bo3957492148770167129t_unit ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4109_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: nat > product_prod_nat_nat,A4: set_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: product_prod_nat_nat] :
% 3.29/3.54              ( ( member8440522571783428010at_nat @ X @ ( image_5846123807819985514at_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( vimage8013328719654469172at_nat @ F @ ( insert8211810215607154385at_nat @ X @ bot_bo2099793752762293965at_nat ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4110_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > $o,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_o @ ( image_3693632289388996572_nat_o @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ? [X: $o] :
% 3.29/3.54              ( ( member_o @ X @ ( image_3693632289388996572_nat_o @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat @ ( vimage2444243245536687506_nat_o @ F @ ( insert_o @ X @ bot_bot_set_o ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4111_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ? [X: nat] :
% 3.29/3.54              ( ( member_nat @ X @ ( image_2486076414777270412at_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat @ ( vimage4653281326611754070at_nat @ F @ ( insert_nat @ X @ bot_bot_set_nat ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4112_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: product_prod_nat_nat > product_prod_nat_nat,A4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite6177210948735845034at_nat @ A4 )
% 3.29/3.54         => ? [X: product_prod_nat_nat] :
% 3.29/3.54              ( ( member8440522571783428010at_nat @ X @ ( image_5168914502847457605at_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite6177210948735845034at_nat @ ( vimage2449269961533847803at_nat @ F @ ( insert8211810215607154385at_nat @ X @ bot_bo2099793752762293965at_nat ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4113_inf__img__fin__dom,axiom,
% 3.29/3.54      ! [F: nat > produc3843707927480180839at_nat,A4: set_nat] :
% 3.29/3.54        ( ( finite4343798906461161616at_nat @ ( image_2499013659892586576at_nat @ F @ A4 ) )
% 3.29/3.54       => ( ~ ( finite_finite_nat @ A4 )
% 3.29/3.54         => ? [X: produc3843707927480180839at_nat] :
% 3.29/3.54              ( ( member8757157785044589968at_nat @ X @ ( image_2499013659892586576at_nat @ F @ A4 ) )
% 3.29/3.54              & ~ ( finite_finite_nat @ ( vimage6435164912253009178at_nat @ F @ ( insert9069300056098147895at_nat @ X @ bot_bo228742789529271731at_nat ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_img_fin_dom
% 3.29/3.54  thf(fact_4114_nat__descend__induct,axiom,
% 3.29/3.54      ! [N3: nat,P2: nat > $o,M3: nat] :
% 3.29/3.54        ( ! [K2: nat] :
% 3.29/3.54            ( ( ord_less_nat @ N3 @ K2 )
% 3.29/3.54           => ( P2 @ K2 ) )
% 3.29/3.54       => ( ! [K2: nat] :
% 3.29/3.54              ( ( ord_less_eq_nat @ K2 @ N3 )
% 3.29/3.54             => ( ! [I5: nat] :
% 3.29/3.54                    ( ( ord_less_nat @ K2 @ I5 )
% 3.29/3.54                   => ( P2 @ I5 ) )
% 3.29/3.54               => ( P2 @ K2 ) ) )
% 3.29/3.54         => ( P2 @ M3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat_descend_induct
% 3.29/3.54  thf(fact_4115_Field__natLeq__on,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( field_nat
% 3.29/3.54          @ ( collec3392354462482085612at_nat
% 3.29/3.54            @ ( produc6081775807080527818_nat_o
% 3.29/3.54              @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                  ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                  & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                  & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) )
% 3.29/3.54        = ( collect_nat
% 3.29/3.54          @ ^ [X4: nat] : ( ord_less_nat @ X4 @ N3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Field_natLeq_on
% 3.29/3.54  thf(fact_4116_natLeq__on__well__order__on,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( order_2888998067076097458on_nat
% 3.29/3.54        @ ( collect_nat
% 3.29/3.54          @ ^ [X4: nat] : ( ord_less_nat @ X4 @ N3 ) )
% 3.29/3.54        @ ( collec3392354462482085612at_nat
% 3.29/3.54          @ ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % natLeq_on_well_order_on
% 3.29/3.54  thf(fact_4117_natLeq__on__Well__order,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( order_2888998067076097458on_nat
% 3.29/3.54        @ ( field_nat
% 3.29/3.54          @ ( collec3392354462482085612at_nat
% 3.29/3.54            @ ( produc6081775807080527818_nat_o
% 3.29/3.54              @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                  ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                  & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                  & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) )
% 3.29/3.54        @ ( collec3392354462482085612at_nat
% 3.29/3.54          @ ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % natLeq_on_Well_order
% 3.29/3.54  thf(fact_4118_natLeq__on__wo__rel,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( bNF_We3818239936649020644el_nat
% 3.29/3.54        @ ( collec3392354462482085612at_nat
% 3.29/3.54          @ ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % natLeq_on_wo_rel
% 3.29/3.54  thf(fact_4119_wf__less,axiom,
% 3.29/3.54      wf_nat @ ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ord_less_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % wf_less
% 3.29/3.54  thf(fact_4120_natLess__def,axiom,
% 3.29/3.54      ( bNF_Ca8459412986667044542atLess
% 3.29/3.54      = ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ord_less_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % natLess_def
% 3.29/3.54  thf(fact_4121_card_Ocomp__fun__commute__on,axiom,
% 3.29/3.54      ( ( comp_nat_nat_nat @ suc @ suc )
% 3.29/3.54      = ( comp_nat_nat_nat @ suc @ suc ) ) ).
% 3.29/3.54  
% 3.29/3.54  % card.comp_fun_commute_on
% 3.29/3.54  thf(fact_4122_pred__nat__def,axiom,
% 3.29/3.54      ( pred_nat
% 3.29/3.54      = ( collec3392354462482085612at_nat
% 3.29/3.54        @ ( produc6081775807080527818_nat_o
% 3.29/3.54          @ ^ [M5: nat,N4: nat] :
% 3.29/3.54              ( N4
% 3.29/3.54              = ( suc @ M5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pred_nat_def
% 3.29/3.54  thf(fact_4123_zero__notin__Suc__image,axiom,
% 3.29/3.54      ! [A4: set_nat] :
% 3.29/3.54        ~ ( member_nat @ zero_zero_nat @ ( image_nat_nat @ suc @ A4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % zero_notin_Suc_image
% 3.29/3.54  thf(fact_4124_Restr__natLeq2,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( inf_in2572325071724192079at_nat @ bNF_Ca8665028551170535155natLeq
% 3.29/3.54          @ ( produc457027306803732586at_nat @ ( order_underS_nat @ bNF_Ca8665028551170535155natLeq @ N3 )
% 3.29/3.54            @ ^ [Uu: nat] : ( order_underS_nat @ bNF_Ca8665028551170535155natLeq @ N3 ) ) )
% 3.29/3.54        = ( collec3392354462482085612at_nat
% 3.29/3.54          @ ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Restr_natLeq2
% 3.29/3.54  thf(fact_4125_Restr__natLeq,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( inf_in2572325071724192079at_nat @ bNF_Ca8665028551170535155natLeq
% 3.29/3.54          @ ( produc457027306803732586at_nat
% 3.29/3.54            @ ( collect_nat
% 3.29/3.54              @ ^ [X4: nat] : ( ord_less_nat @ X4 @ N3 ) )
% 3.29/3.54            @ ^ [Uu: nat] :
% 3.29/3.54                ( collect_nat
% 3.29/3.54                @ ^ [X4: nat] : ( ord_less_nat @ X4 @ N3 ) ) ) )
% 3.29/3.54        = ( collec3392354462482085612at_nat
% 3.29/3.54          @ ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( ( ord_less_nat @ X4 @ N3 )
% 3.29/3.54                & ( ord_less_nat @ Y5 @ N3 )
% 3.29/3.54                & ( ord_less_eq_nat @ X4 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Restr_natLeq
% 3.29/3.54  thf(fact_4126_natLeq__def,axiom,
% 3.29/3.54      ( bNF_Ca8665028551170535155natLeq
% 3.29/3.54      = ( collec3392354462482085612at_nat @ ( produc6081775807080527818_nat_o @ ord_less_eq_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % natLeq_def
% 3.29/3.54  thf(fact_4127_rat__denum,axiom,
% 3.29/3.54      ? [F5: nat > rat] :
% 3.29/3.54        ( ( image_nat_rat @ F5 @ top_top_set_nat )
% 3.29/3.54        = top_top_set_rat ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_denum
% 3.29/3.54  thf(fact_4128_greaterThan__0,axiom,
% 3.29/3.54      ( ( set_or1210151606488870762an_nat @ zero_zero_nat )
% 3.29/3.54      = ( image_nat_nat @ suc @ top_top_set_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % greaterThan_0
% 3.29/3.54  thf(fact_4129_image__Suc__atLeastLessThan,axiom,
% 3.29/3.54      ! [I: nat,J4: nat] :
% 3.29/3.54        ( ( image_nat_nat @ suc @ ( set_or4665077453230672383an_nat @ I @ J4 ) )
% 3.29/3.54        = ( set_or4665077453230672383an_nat @ ( suc @ I ) @ ( suc @ J4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_Suc_atLeastLessThan
% 3.29/3.54  thf(fact_4130_INT__greaterThan__UNIV,axiom,
% 3.29/3.54      ( ( comple7806235888213564991et_nat @ ( image_nat_set_nat @ set_or1210151606488870762an_nat @ top_top_set_nat ) )
% 3.29/3.54      = bot_bot_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % INT_greaterThan_UNIV
% 3.29/3.54  thf(fact_4131_atLeast0__lessThan__Suc__eq__insert__0,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( set_or4665077453230672383an_nat @ zero_zero_nat @ ( suc @ N3 ) )
% 3.29/3.54        = ( insert_nat @ zero_zero_nat @ ( image_nat_nat @ suc @ ( set_or4665077453230672383an_nat @ zero_zero_nat @ N3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % atLeast0_lessThan_Suc_eq_insert_0
% 3.29/3.54  thf(fact_4132_image__minus__const__atLeastLessThan__nat,axiom,
% 3.29/3.54      ! [C: nat,Y3: nat,X2: nat] :
% 3.29/3.54        ( ( ( ord_less_nat @ C @ Y3 )
% 3.29/3.54         => ( ( image_nat_nat
% 3.29/3.54              @ ^ [I2: nat] : ( minus_minus_nat @ I2 @ C )
% 3.29/3.54              @ ( set_or4665077453230672383an_nat @ X2 @ Y3 ) )
% 3.29/3.54            = ( set_or4665077453230672383an_nat @ ( minus_minus_nat @ X2 @ C ) @ ( minus_minus_nat @ Y3 @ C ) ) ) )
% 3.29/3.54        & ( ~ ( ord_less_nat @ C @ Y3 )
% 3.29/3.54         => ( ( ( ord_less_nat @ X2 @ Y3 )
% 3.29/3.54             => ( ( image_nat_nat
% 3.29/3.54                  @ ^ [I2: nat] : ( minus_minus_nat @ I2 @ C )
% 3.29/3.54                  @ ( set_or4665077453230672383an_nat @ X2 @ Y3 ) )
% 3.29/3.54                = ( insert_nat @ zero_zero_nat @ bot_bot_set_nat ) ) )
% 3.29/3.54            & ( ~ ( ord_less_nat @ X2 @ Y3 )
% 3.29/3.54             => ( ( image_nat_nat
% 3.29/3.54                  @ ^ [I2: nat] : ( minus_minus_nat @ I2 @ C )
% 3.29/3.54                  @ ( set_or4665077453230672383an_nat @ X2 @ Y3 ) )
% 3.29/3.54                = bot_bot_set_nat ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_minus_const_atLeastLessThan_nat
% 3.29/3.54  thf(fact_4133_surj__nat__to__rat__surj,axiom,
% 3.29/3.54      ( ( image_nat_rat @ nat_to_rat_surj @ top_top_set_nat )
% 3.29/3.54      = top_top_set_rat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_nat_to_rat_surj
% 3.29/3.54  thf(fact_4134_range__mod,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( ord_less_nat @ zero_zero_nat @ N3 )
% 3.29/3.54       => ( ( image_nat_nat
% 3.29/3.54            @ ^ [M5: nat] : ( modulo_modulo_nat @ M5 @ N3 )
% 3.29/3.54            @ top_top_set_nat )
% 3.29/3.54          = ( set_or4665077453230672383an_nat @ zero_zero_nat @ N3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % range_mod
% 3.29/3.54  thf(fact_4135_divmod__nat__if,axiom,
% 3.29/3.54      ( divmod_nat
% 3.29/3.54      = ( ^ [M5: nat,N4: nat] :
% 3.29/3.54            ( if_Pro6206227464963214023at_nat
% 3.29/3.54            @ ( ( N4 = zero_zero_nat )
% 3.29/3.54              | ( ord_less_nat @ M5 @ N4 ) )
% 3.29/3.54            @ ( product_Pair_nat_nat @ zero_zero_nat @ M5 )
% 3.29/3.54            @ ( produc2626176000494625587at_nat
% 3.29/3.54              @ ^ [Q3: nat] : ( product_Pair_nat_nat @ ( suc @ Q3 ) )
% 3.29/3.54              @ ( divmod_nat @ ( minus_minus_nat @ M5 @ N4 ) @ N4 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % divmod_nat_if
% 3.29/3.54  thf(fact_4136_Rats__eq__range__nat__to__rat__surj,axiom,
% 3.29/3.54      ( field_6020823756834552118ts_rat
% 3.29/3.54      = ( image_nat_rat @ nat_to_rat_surj @ top_top_set_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Rats_eq_range_nat_to_rat_surj
% 3.29/3.54  thf(fact_4137_image__Suc__atLeastAtMost,axiom,
% 3.29/3.54      ! [I: nat,J4: nat] :
% 3.29/3.54        ( ( image_nat_nat @ suc @ ( set_or1269000886237332187st_nat @ I @ J4 ) )
% 3.29/3.54        = ( set_or1269000886237332187st_nat @ ( suc @ I ) @ ( suc @ J4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_Suc_atLeastAtMost
% 3.29/3.54  thf(fact_4138_UN__atMost__UNIV,axiom,
% 3.29/3.54      ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ set_ord_atMost_nat @ top_top_set_nat ) )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % UN_atMost_UNIV
% 3.29/3.54  thf(fact_4139_atMost__Suc__eq__insert__0,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( set_ord_atMost_nat @ ( suc @ N3 ) )
% 3.29/3.54        = ( insert_nat @ zero_zero_nat @ ( image_nat_nat @ suc @ ( set_ord_atMost_nat @ N3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % atMost_Suc_eq_insert_0
% 3.29/3.54  thf(fact_4140_atLeast0__atMost__Suc__eq__insert__0,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( set_or1269000886237332187st_nat @ zero_zero_nat @ ( suc @ N3 ) )
% 3.29/3.54        = ( insert_nat @ zero_zero_nat @ ( image_nat_nat @ suc @ ( set_or1269000886237332187st_nat @ zero_zero_nat @ N3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % atLeast0_atMost_Suc_eq_insert_0
% 3.29/3.54  thf(fact_4141_image__Suc__lessThan,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( image_nat_nat @ suc @ ( set_ord_lessThan_nat @ N3 ) )
% 3.29/3.54        = ( set_or1269000886237332187st_nat @ one_one_nat @ N3 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_Suc_lessThan
% 3.29/3.54  thf(fact_4142_UN__lessThan__UNIV,axiom,
% 3.29/3.54      ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ set_ord_lessThan_nat @ top_top_set_nat ) )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % UN_lessThan_UNIV
% 3.29/3.54  thf(fact_4143_lessThan__Suc__eq__insert__0,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( set_ord_lessThan_nat @ ( suc @ N3 ) )
% 3.29/3.54        = ( insert_nat @ zero_zero_nat @ ( image_nat_nat @ suc @ ( set_ord_lessThan_nat @ N3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % lessThan_Suc_eq_insert_0
% 3.29/3.54  thf(fact_4144_image__Suc__atMost,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( image_nat_nat @ suc @ ( set_ord_atMost_nat @ N3 ) )
% 3.29/3.54        = ( set_or1269000886237332187st_nat @ one_one_nat @ ( suc @ N3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_Suc_atMost
% 3.29/3.54  thf(fact_4145_image__int__atLeastAtMost,axiom,
% 3.29/3.54      ! [A: nat,B: nat] :
% 3.29/3.54        ( ( image_nat_int @ semiri1314217659103216013at_int @ ( set_or1269000886237332187st_nat @ A @ B ) )
% 3.29/3.54        = ( set_or1266510415728281911st_int @ ( semiri1314217659103216013at_int @ A ) @ ( semiri1314217659103216013at_int @ B ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_int_atLeastAtMost
% 3.29/3.54  thf(fact_4146_image__int__atLeastLessThan,axiom,
% 3.29/3.54      ! [A: nat,B: nat] :
% 3.29/3.54        ( ( image_nat_int @ semiri1314217659103216013at_int @ ( set_or4665077453230672383an_nat @ A @ B ) )
% 3.29/3.54        = ( set_or4662586982721622107an_int @ ( semiri1314217659103216013at_int @ A ) @ ( semiri1314217659103216013at_int @ B ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_int_atLeastLessThan
% 3.29/3.54  thf(fact_4147_image__add__int__atLeastLessThan,axiom,
% 3.29/3.54      ! [L: int,U: int] :
% 3.29/3.54        ( ( image_int_int
% 3.29/3.54          @ ^ [X4: int] : ( plus_plus_int @ X4 @ L )
% 3.29/3.54          @ ( set_or4662586982721622107an_int @ zero_zero_int @ ( minus_minus_int @ U @ L ) ) )
% 3.29/3.54        = ( set_or4662586982721622107an_int @ L @ U ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_add_int_atLeastLessThan
% 3.29/3.54  thf(fact_4148_pair__lessI2,axiom,
% 3.29/3.54      ! [A: nat,B: nat,S2: nat,T2: nat] :
% 3.29/3.54        ( ( ord_less_eq_nat @ A @ B )
% 3.29/3.54       => ( ( ord_less_nat @ S2 @ T2 )
% 3.29/3.54         => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ ( product_Pair_nat_nat @ A @ S2 ) @ ( product_Pair_nat_nat @ B @ T2 ) ) @ fun_pair_less ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_lessI2
% 3.29/3.54  thf(fact_4149_pair__less__iff1,axiom,
% 3.29/3.54      ! [X2: nat,Y3: nat,Z2: nat] :
% 3.29/3.54        ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ ( product_Pair_nat_nat @ X2 @ Y3 ) @ ( product_Pair_nat_nat @ X2 @ Z2 ) ) @ fun_pair_less )
% 3.29/3.54        = ( ord_less_nat @ Y3 @ Z2 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_less_iff1
% 3.29/3.54  thf(fact_4150_total__pair__less,axiom,
% 3.29/3.54      ! [A4: set_Pr1261947904930325089at_nat] : ( total_3592101749530773125at_nat @ A4 @ fun_pair_less ) ).
% 3.29/3.54  
% 3.29/3.54  % total_pair_less
% 3.29/3.54  thf(fact_4151_Inf__int__def,axiom,
% 3.29/3.54      ( complete_Inf_Inf_int
% 3.29/3.54      = ( ^ [X9: set_int] : ( uminus_uminus_int @ ( complete_Sup_Sup_int @ ( image_int_int @ uminus_uminus_int @ X9 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Inf_int_def
% 3.29/3.54  thf(fact_4152_wf__pair__less,axiom,
% 3.29/3.54      wf_Pro7803398752247294826at_nat @ fun_pair_less ).
% 3.29/3.54  
% 3.29/3.54  % wf_pair_less
% 3.29/3.54  thf(fact_4153_pair__lessI1,axiom,
% 3.29/3.54      ! [A: nat,B: nat,S2: nat,T2: nat] :
% 3.29/3.54        ( ( ord_less_nat @ A @ B )
% 3.29/3.54       => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ ( product_Pair_nat_nat @ A @ S2 ) @ ( product_Pair_nat_nat @ B @ T2 ) ) @ fun_pair_less ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_lessI1
% 3.29/3.54  thf(fact_4154_bij__betw__Suc,axiom,
% 3.29/3.54      ! [M: set_nat,N: set_nat] :
% 3.29/3.54        ( ( bij_betw_nat_nat @ suc @ M @ N )
% 3.29/3.54        = ( ( image_nat_nat @ suc @ M )
% 3.29/3.54          = N ) ) ).
% 3.29/3.54  
% 3.29/3.54  % bij_betw_Suc
% 3.29/3.54  thf(fact_4155_pair__leqI2,axiom,
% 3.29/3.54      ! [A: nat,B: nat,S2: nat,T2: nat] :
% 3.29/3.54        ( ( ord_less_eq_nat @ A @ B )
% 3.29/3.54       => ( ( ord_less_eq_nat @ S2 @ T2 )
% 3.29/3.54         => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ ( product_Pair_nat_nat @ A @ S2 ) @ ( product_Pair_nat_nat @ B @ T2 ) ) @ fun_pair_leq ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_leqI2
% 3.29/3.54  thf(fact_4156_pair__leqI1,axiom,
% 3.29/3.54      ! [A: nat,B: nat,S2: nat,T2: nat] :
% 3.29/3.54        ( ( ord_less_nat @ A @ B )
% 3.29/3.54       => ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ ( product_Pair_nat_nat @ A @ S2 ) @ ( product_Pair_nat_nat @ B @ T2 ) ) @ fun_pair_leq ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_leqI1
% 3.29/3.54  thf(fact_4157_pair__leq__def,axiom,
% 3.29/3.54      ( fun_pair_leq
% 3.29/3.54      = ( sup_su718114333110466843at_nat @ fun_pair_less @ id_Pro2258643101195443293at_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_leq_def
% 3.29/3.54  thf(fact_4158_wmax__insertI,axiom,
% 3.29/3.54      ! [Y3: product_prod_nat_nat,YS: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,XS: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ Y3 @ YS )
% 3.29/3.54       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ fun_pair_leq )
% 3.29/3.54         => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ XS @ YS ) @ fun_max_weak )
% 3.29/3.54           => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( insert8211810215607154385at_nat @ X2 @ XS ) @ YS ) @ fun_max_weak ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % wmax_insertI
% 3.29/3.54  thf(fact_4159_wmin__insertI,axiom,
% 3.29/3.54      ! [X2: product_prod_nat_nat,XS: set_Pr1261947904930325089at_nat,Y3: product_prod_nat_nat,YS: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ X2 @ XS )
% 3.29/3.54       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ fun_pair_leq )
% 3.29/3.54         => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ XS @ YS ) @ fun_min_weak )
% 3.29/3.54           => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ XS @ ( insert8211810215607154385at_nat @ Y3 @ YS ) ) @ fun_min_weak ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % wmin_insertI
% 3.29/3.54  thf(fact_4160_smax__insertI,axiom,
% 3.29/3.54      ! [Y3: product_prod_nat_nat,Y4: set_Pr1261947904930325089at_nat,X2: product_prod_nat_nat,X5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ Y3 @ Y4 )
% 3.29/3.54       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ fun_pair_less )
% 3.29/3.54         => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X5 @ Y4 ) @ fun_max_strict )
% 3.29/3.54           => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ ( insert8211810215607154385at_nat @ X2 @ X5 ) @ Y4 ) @ fun_max_strict ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % smax_insertI
% 3.29/3.54  thf(fact_4161_smin__insertI,axiom,
% 3.29/3.54      ! [X2: product_prod_nat_nat,XS: set_Pr1261947904930325089at_nat,Y3: product_prod_nat_nat,YS: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( member8440522571783428010at_nat @ X2 @ XS )
% 3.29/3.54       => ( ( member8206827879206165904at_nat @ ( produc6161850002892822231at_nat @ X2 @ Y3 ) @ fun_pair_less )
% 3.29/3.54         => ( ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ XS @ YS ) @ fun_min_strict )
% 3.29/3.54           => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ XS @ ( insert8211810215607154385at_nat @ Y3 @ YS ) ) @ fun_min_strict ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % smin_insertI
% 3.29/3.54  thf(fact_4162_max__rpair__set,axiom,
% 3.29/3.54      fun_re2478310338295953701at_nat @ ( produc9060074326276436823at_nat @ fun_max_strict @ fun_max_weak ) ).
% 3.29/3.54  
% 3.29/3.54  % max_rpair_set
% 3.29/3.54  thf(fact_4163_min__rpair__set,axiom,
% 3.29/3.54      fun_re2478310338295953701at_nat @ ( produc9060074326276436823at_nat @ fun_min_strict @ fun_min_weak ) ).
% 3.29/3.54  
% 3.29/3.54  % min_rpair_set
% 3.29/3.54  thf(fact_4164_wmax__emptyI,axiom,
% 3.29/3.54      ! [X5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ X5 )
% 3.29/3.54       => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ bot_bo2099793752762293965at_nat @ X5 ) @ fun_max_weak ) ) ).
% 3.29/3.54  
% 3.29/3.54  % wmax_emptyI
% 3.29/3.54  thf(fact_4165_smax__emptyI,axiom,
% 3.29/3.54      ! [Y4: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( finite6177210948735845034at_nat @ Y4 )
% 3.29/3.54       => ( ( Y4 != bot_bo2099793752762293965at_nat )
% 3.29/3.54         => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ bot_bo2099793752762293965at_nat @ Y4 ) @ fun_max_strict ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % smax_emptyI
% 3.29/3.54  thf(fact_4166_smin__emptyI,axiom,
% 3.29/3.54      ! [X5: set_Pr1261947904930325089at_nat] :
% 3.29/3.54        ( ( X5 != bot_bo2099793752762293965at_nat )
% 3.29/3.54       => ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X5 @ bot_bo2099793752762293965at_nat ) @ fun_min_strict ) ) ).
% 3.29/3.54  
% 3.29/3.54  % smin_emptyI
% 3.29/3.54  thf(fact_4167_wmin__emptyI,axiom,
% 3.29/3.54      ! [X5: set_Pr1261947904930325089at_nat] : ( member8757157785044589968at_nat @ ( produc2922128104949294807at_nat @ X5 @ bot_bo2099793752762293965at_nat ) @ fun_min_weak ) ).
% 3.29/3.54  
% 3.29/3.54  % wmin_emptyI
% 3.29/3.54  thf(fact_4168_max__strict__def,axiom,
% 3.29/3.54      ( fun_max_strict
% 3.29/3.54      = ( max_ex8135407076693332796at_nat @ fun_pair_less ) ) ).
% 3.29/3.54  
% 3.29/3.54  % max_strict_def
% 3.29/3.54  thf(fact_4169_min__strict__def,axiom,
% 3.29/3.54      ( fun_min_strict
% 3.29/3.54      = ( min_ex6901939911449802026at_nat @ fun_pair_less ) ) ).
% 3.29/3.54  
% 3.29/3.54  % min_strict_def
% 3.29/3.54  thf(fact_4170_min__weak__def,axiom,
% 3.29/3.54      ( fun_min_weak
% 3.29/3.54      = ( sup_su5525570899277871387at_nat @ ( min_ex6901939911449802026at_nat @ fun_pair_leq ) @ ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ bot_bo2099793752762293965at_nat @ bot_bo2099793752762293965at_nat ) @ bot_bo228742789529271731at_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % min_weak_def
% 3.29/3.54  thf(fact_4171_max__weak__def,axiom,
% 3.29/3.54      ( fun_max_weak
% 3.29/3.54      = ( sup_su5525570899277871387at_nat @ ( max_ex8135407076693332796at_nat @ fun_pair_leq ) @ ( insert9069300056098147895at_nat @ ( produc2922128104949294807at_nat @ bot_bo2099793752762293965at_nat @ bot_bo2099793752762293965at_nat ) @ bot_bo228742789529271731at_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % max_weak_def
% 3.29/3.54  thf(fact_4172_image__atLeastZeroLessThan__int,axiom,
% 3.29/3.54      ! [U: int] :
% 3.29/3.54        ( ( ord_less_eq_int @ zero_zero_int @ U )
% 3.29/3.54       => ( ( set_or4662586982721622107an_int @ zero_zero_int @ U )
% 3.29/3.54          = ( image_nat_int @ semiri1314217659103216013at_int @ ( set_ord_lessThan_nat @ ( nat2 @ U ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % image_atLeastZeroLessThan_int
% 3.29/3.54  thf(fact_4173_UN__atLeast__UNIV,axiom,
% 3.29/3.54      ( ( comple7399068483239264473et_nat @ ( image_nat_set_nat @ set_ord_atLeast_nat @ top_top_set_nat ) )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % UN_atLeast_UNIV
% 3.29/3.54  thf(fact_4174_trans__pair__less,axiom,
% 3.29/3.54      trans_4347625901269045472at_nat @ fun_pair_less ).
% 3.29/3.54  
% 3.29/3.54  % trans_pair_less
% 3.29/3.54  thf(fact_4175_less__eq__int_Orep__eq,axiom,
% 3.29/3.54      ( ord_less_eq_int
% 3.29/3.54      = ( ^ [X4: int,Xa3: int] :
% 3.29/3.54            ( produc8739625826339149834_nat_o
% 3.29/3.54            @ ^ [Y5: nat,Z4: nat] :
% 3.29/3.54                ( produc6081775807080527818_nat_o
% 3.29/3.54                @ ^ [U3: nat,V3: nat] : ( ord_less_eq_nat @ ( plus_plus_nat @ Y5 @ V3 ) @ ( plus_plus_nat @ U3 @ Z4 ) ) )
% 3.29/3.54            @ ( rep_Integ @ X4 )
% 3.29/3.54            @ ( rep_Integ @ Xa3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_eq_int.rep_eq
% 3.29/3.54  thf(fact_4176_nat_Orep__eq,axiom,
% 3.29/3.54      ( nat2
% 3.29/3.54      = ( ^ [X4: int] : ( produc6842872674320459806at_nat @ minus_minus_nat @ ( rep_Integ @ X4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat.rep_eq
% 3.29/3.54  thf(fact_4177_less__int_Orep__eq,axiom,
% 3.29/3.54      ( ord_less_int
% 3.29/3.54      = ( ^ [X4: int,Xa3: int] :
% 3.29/3.54            ( produc8739625826339149834_nat_o
% 3.29/3.54            @ ^ [Y5: nat,Z4: nat] :
% 3.29/3.54                ( produc6081775807080527818_nat_o
% 3.29/3.54                @ ^ [U3: nat,V3: nat] : ( ord_less_nat @ ( plus_plus_nat @ Y5 @ V3 ) @ ( plus_plus_nat @ U3 @ Z4 ) ) )
% 3.29/3.54            @ ( rep_Integ @ X4 )
% 3.29/3.54            @ ( rep_Integ @ Xa3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_int.rep_eq
% 3.29/3.54  thf(fact_4178_less__eq__int_Otransfer,axiom,
% 3.29/3.54      ( bNF_re717283939379294677_int_o @ pcr_int
% 3.29/3.54      @ ( bNF_re6644619430987730960nt_o_o @ pcr_int
% 3.29/3.54        @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.54      @ ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( ord_less_eq_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) )
% 3.29/3.54      @ ord_less_eq_int ) ).
% 3.29/3.54  
% 3.29/3.54  % less_eq_int.transfer
% 3.29/3.54  thf(fact_4179_less__eq__int_Oabs__eq,axiom,
% 3.29/3.54      ! [Xa2: product_prod_nat_nat,X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( ord_less_eq_int @ ( abs_Integ @ Xa2 ) @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( produc8739625826339149834_nat_o
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc6081775807080527818_nat_o
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( ord_less_eq_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) )
% 3.29/3.54          @ Xa2
% 3.29/3.54          @ X2 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_eq_int.abs_eq
% 3.29/3.54  thf(fact_4180_int__ge__less__than2__def,axiom,
% 3.29/3.54      ( int_ge_less_than2
% 3.29/3.54      = ( ^ [D3: int] :
% 3.29/3.54            ( collec213857154873943460nt_int
% 3.29/3.54            @ ( produc4947309494688390418_int_o
% 3.29/3.54              @ ^ [Z6: int,Z4: int] :
% 3.29/3.54                  ( ( ord_less_eq_int @ D3 @ Z4 )
% 3.29/3.54                  & ( ord_less_int @ Z6 @ Z4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % int_ge_less_than2_def
% 3.29/3.54  thf(fact_4181_int__ge__less__than__def,axiom,
% 3.29/3.54      ( int_ge_less_than
% 3.29/3.54      = ( ^ [D3: int] :
% 3.29/3.54            ( collec213857154873943460nt_int
% 3.29/3.54            @ ( produc4947309494688390418_int_o
% 3.29/3.54              @ ^ [Z6: int,Z4: int] :
% 3.29/3.54                  ( ( ord_less_eq_int @ D3 @ Z6 )
% 3.29/3.54                  & ( ord_less_int @ Z6 @ Z4 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % int_ge_less_than_def
% 3.29/3.54  thf(fact_4182_less__int_Otransfer,axiom,
% 3.29/3.54      ( bNF_re717283939379294677_int_o @ pcr_int
% 3.29/3.54      @ ( bNF_re6644619430987730960nt_o_o @ pcr_int
% 3.29/3.54        @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.54      @ ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( ord_less_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) )
% 3.29/3.54      @ ord_less_int ) ).
% 3.29/3.54  
% 3.29/3.54  % less_int.transfer
% 3.29/3.54  thf(fact_4183_minus__int_Otransfer,axiom,
% 3.29/3.54      ( bNF_re7408651293131936558nt_int @ pcr_int @ ( bNF_re7400052026677387805at_int @ pcr_int @ pcr_int )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ Y5 @ U3 ) ) ) )
% 3.29/3.54      @ minus_minus_int ) ).
% 3.29/3.54  
% 3.29/3.54  % minus_int.transfer
% 3.29/3.54  thf(fact_4184_plus__int_Otransfer,axiom,
% 3.29/3.54      ( bNF_re7408651293131936558nt_int @ pcr_int @ ( bNF_re7400052026677387805at_int @ pcr_int @ pcr_int )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ U3 ) @ ( plus_plus_nat @ Y5 @ V3 ) ) ) )
% 3.29/3.54      @ plus_plus_int ) ).
% 3.29/3.54  
% 3.29/3.54  % plus_int.transfer
% 3.29/3.54  thf(fact_4185_nat_Oabs__eq,axiom,
% 3.29/3.54      ! [X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( nat2 @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( produc6842872674320459806at_nat @ minus_minus_nat @ X2 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat.abs_eq
% 3.29/3.54  thf(fact_4186_nat_Otransfer,axiom,
% 3.29/3.54      ( bNF_re4555766996558763186at_nat @ pcr_int
% 3.29/3.54      @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.54      @ ( produc6842872674320459806at_nat @ minus_minus_nat )
% 3.29/3.54      @ nat2 ) ).
% 3.29/3.54  
% 3.29/3.54  % nat.transfer
% 3.29/3.54  thf(fact_4187_uminus__int_Oabs__eq,axiom,
% 3.29/3.54      ! [X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( uminus_uminus_int @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( abs_Integ
% 3.29/3.54          @ ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 )
% 3.29/3.54            @ X2 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % uminus_int.abs_eq
% 3.29/3.54  thf(fact_4188_uminus__int_Otransfer,axiom,
% 3.29/3.54      ( bNF_re7400052026677387805at_int @ pcr_int @ pcr_int
% 3.29/3.54      @ ( produc2626176000494625587at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) )
% 3.29/3.54      @ uminus_uminus_int ) ).
% 3.29/3.54  
% 3.29/3.54  % uminus_int.transfer
% 3.29/3.54  thf(fact_4189_times__int_Oabs__eq,axiom,
% 3.29/3.54      ! [Xa2: product_prod_nat_nat,X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( times_times_int @ ( abs_Integ @ Xa2 ) @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( abs_Integ
% 3.29/3.54          @ ( produc27273713700761075at_nat
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( produc2626176000494625587at_nat
% 3.29/3.54                @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ X4 @ U3 ) @ ( times_times_nat @ Y5 @ V3 ) ) @ ( plus_plus_nat @ ( times_times_nat @ X4 @ V3 ) @ ( times_times_nat @ Y5 @ U3 ) ) ) )
% 3.29/3.54            @ Xa2
% 3.29/3.54            @ X2 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % times_int.abs_eq
% 3.29/3.54  thf(fact_4190_plus__int_Oabs__eq,axiom,
% 3.29/3.54      ! [Xa2: product_prod_nat_nat,X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( plus_plus_int @ ( abs_Integ @ Xa2 ) @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( abs_Integ
% 3.29/3.54          @ ( produc27273713700761075at_nat
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( produc2626176000494625587at_nat
% 3.29/3.54                @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ U3 ) @ ( plus_plus_nat @ Y5 @ V3 ) ) )
% 3.29/3.54            @ Xa2
% 3.29/3.54            @ X2 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % plus_int.abs_eq
% 3.29/3.54  thf(fact_4191_minus__int_Oabs__eq,axiom,
% 3.29/3.54      ! [Xa2: product_prod_nat_nat,X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( minus_minus_int @ ( abs_Integ @ Xa2 ) @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( abs_Integ
% 3.29/3.54          @ ( produc27273713700761075at_nat
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54                ( produc2626176000494625587at_nat
% 3.29/3.54                @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ Y5 @ U3 ) ) )
% 3.29/3.54            @ Xa2
% 3.29/3.54            @ X2 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % minus_int.abs_eq
% 3.29/3.54  thf(fact_4192_times__int_Otransfer,axiom,
% 3.29/3.54      ( bNF_re7408651293131936558nt_int @ pcr_int @ ( bNF_re7400052026677387805at_int @ pcr_int @ pcr_int )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ X4 @ U3 ) @ ( times_times_nat @ Y5 @ V3 ) ) @ ( plus_plus_nat @ ( times_times_nat @ X4 @ V3 ) @ ( times_times_nat @ Y5 @ U3 ) ) ) ) )
% 3.29/3.54      @ times_times_int ) ).
% 3.29/3.54  
% 3.29/3.54  % times_int.transfer
% 3.29/3.54  thf(fact_4193_less__int_Oabs__eq,axiom,
% 3.29/3.54      ! [Xa2: product_prod_nat_nat,X2: product_prod_nat_nat] :
% 3.29/3.54        ( ( ord_less_int @ ( abs_Integ @ Xa2 ) @ ( abs_Integ @ X2 ) )
% 3.29/3.54        = ( produc8739625826339149834_nat_o
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc6081775807080527818_nat_o
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( ord_less_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) )
% 3.29/3.54          @ Xa2
% 3.29/3.54          @ X2 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_int.abs_eq
% 3.29/3.54  thf(fact_4194_uminus__int__def,axiom,
% 3.29/3.54      ( uminus_uminus_int
% 3.29/3.54      = ( map_fu3667384564859982768at_int @ rep_Integ @ abs_Integ
% 3.29/3.54        @ ( produc2626176000494625587at_nat
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % uminus_int_def
% 3.29/3.54  thf(fact_4195_times__int_Orsp,axiom,
% 3.29/3.54      ( bNF_re3099431351363272937at_nat @ intrel @ ( bNF_re2241393799969408733at_nat @ intrel @ intrel )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ X4 @ U3 ) @ ( times_times_nat @ Y5 @ V3 ) ) @ ( plus_plus_nat @ ( times_times_nat @ X4 @ V3 ) @ ( times_times_nat @ Y5 @ U3 ) ) ) ) )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ X4 @ U3 ) @ ( times_times_nat @ Y5 @ V3 ) ) @ ( plus_plus_nat @ ( times_times_nat @ X4 @ V3 ) @ ( times_times_nat @ Y5 @ U3 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % times_int.rsp
% 3.29/3.54  thf(fact_4196_nat__def,axiom,
% 3.29/3.54      ( nat2
% 3.29/3.54      = ( map_fu2345160673673942751at_nat @ rep_Integ @ id_nat @ ( produc6842872674320459806at_nat @ minus_minus_nat ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat_def
% 3.29/3.54  thf(fact_4197_minus__int_Orsp,axiom,
% 3.29/3.54      ( bNF_re3099431351363272937at_nat @ intrel @ ( bNF_re2241393799969408733at_nat @ intrel @ intrel )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ Y5 @ U3 ) ) ) )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ Y5 @ U3 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % minus_int.rsp
% 3.29/3.54  thf(fact_4198_plus__int_Orsp,axiom,
% 3.29/3.54      ( bNF_re3099431351363272937at_nat @ intrel @ ( bNF_re2241393799969408733at_nat @ intrel @ intrel )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ U3 ) @ ( plus_plus_nat @ Y5 @ V3 ) ) ) )
% 3.29/3.54      @ ( produc27273713700761075at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ U3 ) @ ( plus_plus_nat @ Y5 @ V3 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % plus_int.rsp
% 3.29/3.54  thf(fact_4199_less__eq__int_Orsp,axiom,
% 3.29/3.54      ( bNF_re4202695980764964119_nat_o @ intrel
% 3.29/3.54      @ ( bNF_re3666534408544137501at_o_o @ intrel
% 3.29/3.54        @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.54      @ ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( ord_less_eq_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) )
% 3.29/3.54      @ ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( ord_less_eq_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_eq_int.rsp
% 3.29/3.54  thf(fact_4200_uminus__int_Orsp,axiom,
% 3.29/3.54      ( bNF_re2241393799969408733at_nat @ intrel @ intrel
% 3.29/3.54      @ ( produc2626176000494625587at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) )
% 3.29/3.54      @ ( produc2626176000494625587at_nat
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] : ( product_Pair_nat_nat @ Y5 @ X4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % uminus_int.rsp
% 3.29/3.54  thf(fact_4201_nat_Orsp,axiom,
% 3.29/3.54      ( bNF_re8246922863344978751at_nat @ intrel
% 3.29/3.54      @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.54      @ ( produc6842872674320459806at_nat @ minus_minus_nat )
% 3.29/3.54      @ ( produc6842872674320459806at_nat @ minus_minus_nat ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat.rsp
% 3.29/3.54  thf(fact_4202_intrel__def,axiom,
% 3.29/3.54      ( intrel
% 3.29/3.54      = ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] :
% 3.29/3.54                ( ( plus_plus_nat @ X4 @ V3 )
% 3.29/3.54                = ( plus_plus_nat @ U3 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % intrel_def
% 3.29/3.54  thf(fact_4203_less__int_Orsp,axiom,
% 3.29/3.54      ( bNF_re4202695980764964119_nat_o @ intrel
% 3.29/3.54      @ ( bNF_re3666534408544137501at_o_o @ intrel
% 3.29/3.54        @ ^ [Y2: $o,Z: $o] : ( Y2 = Z ) )
% 3.29/3.54      @ ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( ord_less_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) )
% 3.29/3.54      @ ( produc8739625826339149834_nat_o
% 3.29/3.54        @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54            ( produc6081775807080527818_nat_o
% 3.29/3.54            @ ^ [U3: nat,V3: nat] : ( ord_less_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_int.rsp
% 3.29/3.54  thf(fact_4204_times__int__def,axiom,
% 3.29/3.54      ( times_times_int
% 3.29/3.54      = ( map_fu4960017516451851995nt_int @ rep_Integ @ ( map_fu3667384564859982768at_int @ rep_Integ @ abs_Integ )
% 3.29/3.54        @ ( produc27273713700761075at_nat
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc2626176000494625587at_nat
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ X4 @ U3 ) @ ( times_times_nat @ Y5 @ V3 ) ) @ ( plus_plus_nat @ ( times_times_nat @ X4 @ V3 ) @ ( times_times_nat @ Y5 @ U3 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % times_int_def
% 3.29/3.54  thf(fact_4205_minus__int__def,axiom,
% 3.29/3.54      ( minus_minus_int
% 3.29/3.54      = ( map_fu4960017516451851995nt_int @ rep_Integ @ ( map_fu3667384564859982768at_int @ rep_Integ @ abs_Integ )
% 3.29/3.54        @ ( produc27273713700761075at_nat
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc2626176000494625587at_nat
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ Y5 @ U3 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % minus_int_def
% 3.29/3.54  thf(fact_4206_plus__int__def,axiom,
% 3.29/3.54      ( plus_plus_int
% 3.29/3.54      = ( map_fu4960017516451851995nt_int @ rep_Integ @ ( map_fu3667384564859982768at_int @ rep_Integ @ abs_Integ )
% 3.29/3.54        @ ( produc27273713700761075at_nat
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc2626176000494625587at_nat
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( product_Pair_nat_nat @ ( plus_plus_nat @ X4 @ U3 ) @ ( plus_plus_nat @ Y5 @ V3 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % plus_int_def
% 3.29/3.54  thf(fact_4207_rat__less__code,axiom,
% 3.29/3.54      ( ord_less_rat
% 3.29/3.54      = ( ^ [P3: rat,Q3: rat] :
% 3.29/3.54            ( produc4947309494688390418_int_o
% 3.29/3.54            @ ^ [A5: int,C4: int] :
% 3.29/3.54                ( produc4947309494688390418_int_o
% 3.29/3.54                @ ^ [B4: int,D3: int] : ( ord_less_int @ ( times_times_int @ A5 @ D3 ) @ ( times_times_int @ C4 @ B4 ) )
% 3.29/3.54                @ ( quotient_of @ Q3 ) )
% 3.29/3.54            @ ( quotient_of @ P3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_less_code
% 3.29/3.54  thf(fact_4208_rat__less__eq__code,axiom,
% 3.29/3.54      ( ord_less_eq_rat
% 3.29/3.54      = ( ^ [P3: rat,Q3: rat] :
% 3.29/3.54            ( produc4947309494688390418_int_o
% 3.29/3.54            @ ^ [A5: int,C4: int] :
% 3.29/3.54                ( produc4947309494688390418_int_o
% 3.29/3.54                @ ^ [B4: int,D3: int] : ( ord_less_eq_int @ ( times_times_int @ A5 @ D3 ) @ ( times_times_int @ C4 @ B4 ) )
% 3.29/3.54                @ ( quotient_of @ Q3 ) )
% 3.29/3.54            @ ( quotient_of @ P3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_less_eq_code
% 3.29/3.54  thf(fact_4209_rat__uminus__code,axiom,
% 3.29/3.54      ! [P: rat] :
% 3.29/3.54        ( ( quotient_of @ ( uminus_uminus_rat @ P ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int] : ( product_Pair_int_int @ ( uminus_uminus_int @ A5 ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_uminus_code
% 3.29/3.54  thf(fact_4210_less__int__def,axiom,
% 3.29/3.54      ( ord_less_int
% 3.29/3.54      = ( map_fu434086159418415080_int_o @ rep_Integ @ ( map_fu4826362097070443709at_o_o @ rep_Integ @ id_o )
% 3.29/3.54        @ ( produc8739625826339149834_nat_o
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc6081775807080527818_nat_o
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( ord_less_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_int_def
% 3.29/3.54  thf(fact_4211_less__eq__int__def,axiom,
% 3.29/3.54      ( ord_less_eq_int
% 3.29/3.54      = ( map_fu434086159418415080_int_o @ rep_Integ @ ( map_fu4826362097070443709at_o_o @ rep_Integ @ id_o )
% 3.29/3.54        @ ( produc8739625826339149834_nat_o
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] :
% 3.29/3.54              ( produc6081775807080527818_nat_o
% 3.29/3.54              @ ^ [U3: nat,V3: nat] : ( ord_less_eq_nat @ ( plus_plus_nat @ X4 @ V3 ) @ ( plus_plus_nat @ U3 @ Y5 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % less_eq_int_def
% 3.29/3.54  thf(fact_4212_rat__minus__code,axiom,
% 3.29/3.54      ! [P: rat,Q: rat] :
% 3.29/3.54        ( ( quotient_of @ ( minus_minus_rat @ P @ Q ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int,C4: int] :
% 3.29/3.54              ( produc4245557441103728435nt_int
% 3.29/3.54              @ ^ [B4: int,D3: int] : ( normalize @ ( product_Pair_int_int @ ( minus_minus_int @ ( times_times_int @ A5 @ D3 ) @ ( times_times_int @ B4 @ C4 ) ) @ ( times_times_int @ C4 @ D3 ) ) )
% 3.29/3.54              @ ( quotient_of @ Q ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_minus_code
% 3.29/3.54  thf(fact_4213_rat__plus__code,axiom,
% 3.29/3.54      ! [P: rat,Q: rat] :
% 3.29/3.54        ( ( quotient_of @ ( plus_plus_rat @ P @ Q ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int,C4: int] :
% 3.29/3.54              ( produc4245557441103728435nt_int
% 3.29/3.54              @ ^ [B4: int,D3: int] : ( normalize @ ( product_Pair_int_int @ ( plus_plus_int @ ( times_times_int @ A5 @ D3 ) @ ( times_times_int @ B4 @ C4 ) ) @ ( times_times_int @ C4 @ D3 ) ) )
% 3.29/3.54              @ ( quotient_of @ Q ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_plus_code
% 3.29/3.54  thf(fact_4214_rat__divide__code,axiom,
% 3.29/3.54      ! [P: rat,Q: rat] :
% 3.29/3.54        ( ( quotient_of @ ( divide_divide_rat @ P @ Q ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int,C4: int] :
% 3.29/3.54              ( produc4245557441103728435nt_int
% 3.29/3.54              @ ^ [B4: int,D3: int] : ( normalize @ ( product_Pair_int_int @ ( times_times_int @ A5 @ D3 ) @ ( times_times_int @ C4 @ B4 ) ) )
% 3.29/3.54              @ ( quotient_of @ Q ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_divide_code
% 3.29/3.54  thf(fact_4215_rat__times__code,axiom,
% 3.29/3.54      ! [P: rat,Q: rat] :
% 3.29/3.54        ( ( quotient_of @ ( times_times_rat @ P @ Q ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int,C4: int] :
% 3.29/3.54              ( produc4245557441103728435nt_int
% 3.29/3.54              @ ^ [B4: int,D3: int] : ( normalize @ ( product_Pair_int_int @ ( times_times_int @ A5 @ B4 ) @ ( times_times_int @ C4 @ D3 ) ) )
% 3.29/3.54              @ ( quotient_of @ Q ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_times_code
% 3.29/3.54  thf(fact_4216_pcr__int__def,axiom,
% 3.29/3.54      ( pcr_int
% 3.29/3.54      = ( relcom8911704206367525917at_int
% 3.29/3.54        @ ( basic_5328504652464829177at_nat
% 3.29/3.54          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z )
% 3.29/3.54          @ ^ [Y2: nat,Z: nat] : ( Y2 = Z ) )
% 3.29/3.54        @ cr_int ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pcr_int_def
% 3.29/3.54  thf(fact_4217_UNIV__unit,axiom,
% 3.29/3.54      ( top_to1996260823553986621t_unit
% 3.29/3.54      = ( insert_Product_unit @ product_Unity @ bot_bo3957492148770167129t_unit ) ) ).
% 3.29/3.54  
% 3.29/3.54  % UNIV_unit
% 3.29/3.54  thf(fact_4218_top__unit__def,axiom,
% 3.29/3.54      top_top_Product_unit = product_Unity ).
% 3.29/3.54  
% 3.29/3.54  % top_unit_def
% 3.29/3.54  thf(fact_4219_uminus__unit__def,axiom,
% 3.29/3.54      ( uminus2952777764628376836t_unit
% 3.29/3.54      = ( ^ [Uu2: product_unit] : product_Unity ) ) ).
% 3.29/3.54  
% 3.29/3.54  % uminus_unit_def
% 3.29/3.54  thf(fact_4220_inf__unit__def,axiom,
% 3.29/3.54      ( inf_inf_Product_unit
% 3.29/3.54      = ( ^ [Uu2: product_unit,Uv2: product_unit] : product_Unity ) ) ).
% 3.29/3.54  
% 3.29/3.54  % inf_unit_def
% 3.29/3.54  thf(fact_4221_old_Ounit_Oexhaust,axiom,
% 3.29/3.54      ! [Y3: product_unit] : ( Y3 = product_Unity ) ).
% 3.29/3.54  
% 3.29/3.54  % old.unit.exhaust
% 3.29/3.54  thf(fact_4222_Inf__unit__def,axiom,
% 3.29/3.54      ( comple2584293577114468500t_unit
% 3.29/3.54      = ( ^ [Uu2: set_Product_unit] : product_Unity ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Inf_unit_def
% 3.29/3.54  thf(fact_4223_Sup__unit__def,axiom,
% 3.29/3.54      ( comple4687483117567863418t_unit
% 3.29/3.54      = ( ^ [Uu2: set_Product_unit] : product_Unity ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Sup_unit_def
% 3.29/3.54  thf(fact_4224_sup__unit__def,axiom,
% 3.29/3.54      ( sup_sup_Product_unit
% 3.29/3.54      = ( ^ [Uu2: product_unit,Uv2: product_unit] : product_Unity ) ) ).
% 3.29/3.54  
% 3.29/3.54  % sup_unit_def
% 3.29/3.54  thf(fact_4225_bot__unit__def,axiom,
% 3.29/3.54      bot_bot_Product_unit = product_Unity ).
% 3.29/3.54  
% 3.29/3.54  % bot_unit_def
% 3.29/3.54  thf(fact_4226_default__unit__def,axiom,
% 3.29/3.54      defaul566961228789861419t_unit = product_Unity ).
% 3.29/3.54  
% 3.29/3.54  % default_unit_def
% 3.29/3.54  thf(fact_4227_Gcd__eq__Max,axiom,
% 3.29/3.54      ! [M: set_nat] :
% 3.29/3.54        ( ( finite_finite_nat @ M )
% 3.29/3.54       => ( ( M != bot_bot_set_nat )
% 3.29/3.54         => ( ~ ( member_nat @ zero_zero_nat @ M )
% 3.29/3.54           => ( ( gcd_Gcd_nat @ M )
% 3.29/3.54              = ( lattic8265883725875713057ax_nat
% 3.29/3.54                @ ( comple7806235888213564991et_nat
% 3.29/3.54                  @ ( image_nat_set_nat
% 3.29/3.54                    @ ^ [M5: nat] :
% 3.29/3.54                        ( collect_nat
% 3.29/3.54                        @ ^ [D3: nat] : ( dvd_dvd_nat @ D3 @ M5 ) )
% 3.29/3.54                    @ M ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Gcd_eq_Max
% 3.29/3.54  thf(fact_4228_Gcd__int__eq,axiom,
% 3.29/3.54      ! [N: set_nat] :
% 3.29/3.54        ( ( gcd_Gcd_int @ ( image_nat_int @ semiri1314217659103216013at_int @ N ) )
% 3.29/3.54        = ( semiri1314217659103216013at_int @ ( gcd_Gcd_nat @ N ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Gcd_int_eq
% 3.29/3.54  thf(fact_4229_Gcd__int__def,axiom,
% 3.29/3.54      ( gcd_Gcd_int
% 3.29/3.54      = ( ^ [K3: set_int] : ( semiri1314217659103216013at_int @ ( gcd_Gcd_nat @ ( image_int_nat @ ( comp_int_nat_int @ nat2 @ abs_abs_int ) @ K3 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Gcd_int_def
% 3.29/3.54  thf(fact_4230_Gcd__nat__abs__eq,axiom,
% 3.29/3.54      ! [K4: set_int] :
% 3.29/3.54        ( ( gcd_Gcd_nat
% 3.29/3.54          @ ( image_int_nat
% 3.29/3.54            @ ^ [K5: int] : ( nat2 @ ( abs_abs_int @ K5 ) )
% 3.29/3.54            @ K4 ) )
% 3.29/3.54        = ( nat2 @ ( gcd_Gcd_int @ K4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Gcd_nat_abs_eq
% 3.29/3.54  thf(fact_4231_range__abs__Nats,axiom,
% 3.29/3.54      ( ( image_int_int @ abs_abs_int @ top_top_set_int )
% 3.29/3.54      = semiring_1_Nats_int ) ).
% 3.29/3.54  
% 3.29/3.54  % range_abs_Nats
% 3.29/3.54  thf(fact_4232_Gcd__abs__eq,axiom,
% 3.29/3.54      ! [K4: set_int] :
% 3.29/3.54        ( ( gcd_Gcd_int @ ( image_int_int @ abs_abs_int @ K4 ) )
% 3.29/3.54        = ( gcd_Gcd_int @ K4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Gcd_abs_eq
% 3.29/3.54  thf(fact_4233_int__in__range__abs,axiom,
% 3.29/3.54      ! [N3: nat] : ( member_int @ ( semiri1314217659103216013at_int @ N3 ) @ ( image_int_int @ abs_abs_int @ top_top_set_int ) ) ).
% 3.29/3.54  
% 3.29/3.54  % int_in_range_abs
% 3.29/3.54  thf(fact_4234_measure__function__int,axiom,
% 3.29/3.54      fun_is_measure_int @ ( comp_int_nat_int @ nat2 @ abs_abs_int ) ).
% 3.29/3.54  
% 3.29/3.54  % measure_function_int
% 3.29/3.54  thf(fact_4235_rat__abs__code,axiom,
% 3.29/3.54      ! [P: rat] :
% 3.29/3.54        ( ( quotient_of @ ( abs_abs_rat @ P ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int] : ( product_Pair_int_int @ ( abs_abs_int @ A5 ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_abs_code
% 3.29/3.54  thf(fact_4236_surj__int__encode,axiom,
% 3.29/3.54      ( ( image_int_nat @ nat_int_encode @ top_top_set_int )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_int_encode
% 3.29/3.54  thf(fact_4237_surj__int__decode,axiom,
% 3.29/3.54      ( ( image_nat_int @ nat_int_decode @ top_top_set_nat )
% 3.29/3.54      = top_top_set_int ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_int_decode
% 3.29/3.54  thf(fact_4238_Lcm__abs__eq,axiom,
% 3.29/3.54      ! [K4: set_int] :
% 3.29/3.54        ( ( gcd_Lcm_int @ ( image_int_int @ abs_abs_int @ K4 ) )
% 3.29/3.54        = ( gcd_Lcm_int @ K4 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Lcm_abs_eq
% 3.29/3.54  thf(fact_4239_Lcm__int__def,axiom,
% 3.29/3.54      ( gcd_Lcm_int
% 3.29/3.54      = ( ^ [K3: set_int] : ( semiri1314217659103216013at_int @ ( gcd_Lcm_nat @ ( image_int_nat @ ( comp_int_nat_int @ nat2 @ abs_abs_int ) @ K3 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Lcm_int_def
% 3.29/3.54  thf(fact_4240_Lcm__int__eq,axiom,
% 3.29/3.54      ! [N: set_nat] :
% 3.29/3.54        ( ( gcd_Lcm_int @ ( image_nat_int @ semiri1314217659103216013at_int @ N ) )
% 3.29/3.54        = ( semiri1314217659103216013at_int @ ( gcd_Lcm_nat @ N ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Lcm_int_eq
% 3.29/3.54  thf(fact_4241_Lcm__nat__abs__eq,axiom,
% 3.29/3.54      ! [K4: set_int] :
% 3.29/3.54        ( ( gcd_Lcm_nat
% 3.29/3.54          @ ( image_int_nat
% 3.29/3.54            @ ^ [K5: int] : ( nat2 @ ( abs_abs_int @ K5 ) )
% 3.29/3.54            @ K4 ) )
% 3.29/3.54        = ( nat2 @ ( gcd_Lcm_int @ K4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Lcm_nat_abs_eq
% 3.29/3.54  thf(fact_4242_rat__inverse__code,axiom,
% 3.29/3.54      ! [P: rat] :
% 3.29/3.54        ( ( quotient_of @ ( inverse_inverse_rat @ P ) )
% 3.29/3.54        = ( produc4245557441103728435nt_int
% 3.29/3.54          @ ^ [A5: int,B4: int] : ( if_Pro3027730157355071871nt_int @ ( A5 = zero_zero_int ) @ ( product_Pair_int_int @ zero_zero_int @ one_one_int ) @ ( product_Pair_int_int @ ( times_times_int @ ( sgn_sgn_int @ A5 ) @ B4 ) @ ( abs_abs_int @ A5 ) ) )
% 3.29/3.54          @ ( quotient_of @ P ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_inverse_code
% 3.29/3.54  thf(fact_4243_euclidean__size__int__def,axiom,
% 3.29/3.54      ( euclid4774559944035922753ze_int
% 3.29/3.54      = ( comp_int_nat_int @ nat2 @ abs_abs_int ) ) ).
% 3.29/3.54  
% 3.29/3.54  % euclidean_size_int_def
% 3.29/3.54  thf(fact_4244_Unity__def,axiom,
% 3.29/3.54      ( product_Unity
% 3.29/3.54      = ( product_Abs_unit @ $true ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Unity_def
% 3.29/3.54  thf(fact_4245_prod__encode__def,axiom,
% 3.29/3.54      ( nat_prod_encode
% 3.29/3.54      = ( produc6842872674320459806at_nat
% 3.29/3.54        @ ^ [M5: nat,N4: nat] : ( plus_plus_nat @ ( nat_triangle @ ( plus_plus_nat @ M5 @ N4 ) ) @ M5 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % prod_encode_def
% 3.29/3.54  thf(fact_4246_Abs__unit__cases,axiom,
% 3.29/3.54      ! [X2: product_unit] :
% 3.29/3.54        ~ ! [Y: $o] :
% 3.29/3.54            ( ( X2
% 3.29/3.54              = ( product_Abs_unit @ Y ) )
% 3.29/3.54           => ~ ( member_o @ Y @ ( insert_o @ $true @ bot_bot_set_o ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Abs_unit_cases
% 3.29/3.54  thf(fact_4247_Abs__unit__induct,axiom,
% 3.29/3.54      ! [P2: product_unit > $o,X2: product_unit] :
% 3.29/3.54        ( ! [Y: $o] :
% 3.29/3.54            ( ( member_o @ Y @ ( insert_o @ $true @ bot_bot_set_o ) )
% 3.29/3.54           => ( P2 @ ( product_Abs_unit @ Y ) ) )
% 3.29/3.54       => ( P2 @ X2 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Abs_unit_induct
% 3.29/3.54  thf(fact_4248_Abs__unit__inject,axiom,
% 3.29/3.54      ! [X2: $o,Y3: $o] :
% 3.29/3.54        ( ( member_o @ X2 @ ( insert_o @ $true @ bot_bot_set_o ) )
% 3.29/3.54       => ( ( member_o @ Y3 @ ( insert_o @ $true @ bot_bot_set_o ) )
% 3.29/3.54         => ( ( ( product_Abs_unit @ X2 )
% 3.29/3.54              = ( product_Abs_unit @ Y3 ) )
% 3.29/3.54            = ( X2 = Y3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Abs_unit_inject
% 3.29/3.54  thf(fact_4249_surj__prod__encode,axiom,
% 3.29/3.54      ( ( image_2486076414777270412at_nat @ nat_prod_encode @ top_to4669805908274784177at_nat )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_prod_encode
% 3.29/3.54  thf(fact_4250_type__definition__unit,axiom,
% 3.29/3.54      type_d6188575255521822967unit_o @ product_Rep_unit @ product_Abs_unit @ ( insert_o @ $true @ bot_bot_set_o ) ).
% 3.29/3.54  
% 3.29/3.54  % type_definition_unit
% 3.29/3.54  thf(fact_4251_Rep__unit__inject,axiom,
% 3.29/3.54      ! [X2: product_unit,Y3: product_unit] :
% 3.29/3.54        ( ( ( product_Rep_unit @ X2 )
% 3.29/3.54          = ( product_Rep_unit @ Y3 ) )
% 3.29/3.54        = ( X2 = Y3 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Rep_unit_inject
% 3.29/3.54  thf(fact_4252_Rep__unit__induct,axiom,
% 3.29/3.54      ! [Y3: $o,P2: $o > $o] :
% 3.29/3.54        ( ( member_o @ Y3 @ ( insert_o @ $true @ bot_bot_set_o ) )
% 3.29/3.54       => ( ! [X: product_unit] : ( P2 @ ( product_Rep_unit @ X ) )
% 3.29/3.54         => ( P2 @ Y3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Rep_unit_induct
% 3.29/3.54  thf(fact_4253_Rep__unit__cases,axiom,
% 3.29/3.54      ! [Y3: $o] :
% 3.29/3.54        ( ( member_o @ Y3 @ ( insert_o @ $true @ bot_bot_set_o ) )
% 3.29/3.54       => ~ ! [X: product_unit] :
% 3.29/3.54              ( Y3
% 3.29/3.54              = ( ~ ( product_Rep_unit @ X ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Rep_unit_cases
% 3.29/3.54  thf(fact_4254_Rep__unit,axiom,
% 3.29/3.54      ! [X2: product_unit] : ( member_o @ ( product_Rep_unit @ X2 ) @ ( insert_o @ $true @ bot_bot_set_o ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Rep_unit
% 3.29/3.54  thf(fact_4255_Rep__unit__inverse,axiom,
% 3.29/3.54      ! [X2: product_unit] :
% 3.29/3.54        ( ( product_Abs_unit @ ( product_Rep_unit @ X2 ) )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  % Rep_unit_inverse
% 3.29/3.54  thf(fact_4256_Abs__unit__inverse,axiom,
% 3.29/3.54      ! [Y3: $o] :
% 3.29/3.54        ( ( member_o @ Y3 @ ( insert_o @ $true @ bot_bot_set_o ) )
% 3.29/3.54       => ( ( product_Rep_unit @ ( product_Abs_unit @ Y3 ) )
% 3.29/3.54          = Y3 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Abs_unit_inverse
% 3.29/3.54  thf(fact_4257_surj__prod__decode,axiom,
% 3.29/3.54      ( ( image_5846123807819985514at_nat @ nat_prod_decode @ top_top_set_nat )
% 3.29/3.54      = top_to4669805908274784177at_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_prod_decode
% 3.29/3.54  thf(fact_4258_pair__less__def,axiom,
% 3.29/3.54      ( fun_pair_less
% 3.29/3.54      = ( lex_prod_nat_nat @ less_than @ less_than ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pair_less_def
% 3.29/3.54  thf(fact_4259_list__decode_Oelims,axiom,
% 3.29/3.54      ! [X2: nat,Y3: list_nat] :
% 3.29/3.54        ( ( ( nat_list_decode @ X2 )
% 3.29/3.54          = Y3 )
% 3.29/3.54       => ( ( ( X2 = zero_zero_nat )
% 3.29/3.54           => ( Y3 != nil_nat ) )
% 3.29/3.54         => ~ ! [N2: nat] :
% 3.29/3.54                ( ( X2
% 3.29/3.54                  = ( suc @ N2 ) )
% 3.29/3.54               => ( Y3
% 3.29/3.54                 != ( produc2761476792215241774st_nat
% 3.29/3.54                    @ ^ [X4: nat,Y5: nat] : ( cons_nat @ X4 @ ( nat_list_decode @ Y5 ) )
% 3.29/3.54                    @ ( nat_prod_decode @ N2 ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % list_decode.elims
% 3.29/3.54  thf(fact_4260_nat__to__rat__surj__def,axiom,
% 3.29/3.54      ( nat_to_rat_surj
% 3.29/3.54      = ( ^ [N4: nat] :
% 3.29/3.54            ( produc6207742614233964070at_rat
% 3.29/3.54            @ ^ [A5: nat,B4: nat] : ( fract @ ( nat_int_decode @ A5 ) @ ( nat_int_decode @ B4 ) )
% 3.29/3.54            @ ( nat_prod_decode @ N4 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat_to_rat_surj_def
% 3.29/3.54  thf(fact_4261_list__decode_Osimps_I2_J,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( nat_list_decode @ ( suc @ N3 ) )
% 3.29/3.54        = ( produc2761476792215241774st_nat
% 3.29/3.54          @ ^ [X4: nat,Y5: nat] : ( cons_nat @ X4 @ ( nat_list_decode @ Y5 ) )
% 3.29/3.54          @ ( nat_prod_decode @ N3 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % list_decode.simps(2)
% 3.29/3.54  thf(fact_4262_list__decode_Opelims,axiom,
% 3.29/3.54      ! [X2: nat,Y3: list_nat] :
% 3.29/3.54        ( ( ( nat_list_decode @ X2 )
% 3.29/3.54          = Y3 )
% 3.29/3.54       => ( ( accp_nat @ nat_list_decode_rel @ X2 )
% 3.29/3.54         => ( ( ( X2 = zero_zero_nat )
% 3.29/3.54             => ( ( Y3 = nil_nat )
% 3.29/3.54               => ~ ( accp_nat @ nat_list_decode_rel @ zero_zero_nat ) ) )
% 3.29/3.54           => ~ ! [N2: nat] :
% 3.29/3.54                  ( ( X2
% 3.29/3.54                    = ( suc @ N2 ) )
% 3.29/3.54                 => ( ( Y3
% 3.29/3.54                      = ( produc2761476792215241774st_nat
% 3.29/3.54                        @ ^ [X4: nat,Y5: nat] : ( cons_nat @ X4 @ ( nat_list_decode @ Y5 ) )
% 3.29/3.54                        @ ( nat_prod_decode @ N2 ) ) )
% 3.29/3.54                   => ~ ( accp_nat @ nat_list_decode_rel @ ( suc @ N2 ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % list_decode.pelims
% 3.29/3.54  thf(fact_4263_surj__list__decode,axiom,
% 3.29/3.54      ( ( image_nat_list_nat @ nat_list_decode @ top_top_set_nat )
% 3.29/3.54      = top_top_set_list_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_list_decode
% 3.29/3.54  thf(fact_4264_list__decode_Opsimps_I2_J,axiom,
% 3.29/3.54      ! [N3: nat] :
% 3.29/3.54        ( ( accp_nat @ nat_list_decode_rel @ ( suc @ N3 ) )
% 3.29/3.54       => ( ( nat_list_decode @ ( suc @ N3 ) )
% 3.29/3.54          = ( produc2761476792215241774st_nat
% 3.29/3.54            @ ^ [X4: nat,Y5: nat] : ( cons_nat @ X4 @ ( nat_list_decode @ Y5 ) )
% 3.29/3.54            @ ( nat_prod_decode @ N3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % list_decode.psimps(2)
% 3.29/3.54  thf(fact_4265_surj__sum__encode,axiom,
% 3.29/3.54      ( ( image_1320371278474632150at_nat @ nat_sum_encode @ top_to6661820994512907621at_nat )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_sum_encode
% 3.29/3.54  thf(fact_4266_surj__list__encode,axiom,
% 3.29/3.54      ( ( image_list_nat_nat @ nat_list_encode @ top_top_set_list_nat )
% 3.29/3.54      = top_top_set_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_list_encode
% 3.29/3.54  thf(fact_4267_surj__sum__decode,axiom,
% 3.29/3.54      ( ( image_678696785212003926at_nat @ nat_sum_decode @ top_top_set_nat )
% 3.29/3.54      = top_to6661820994512907621at_nat ) ).
% 3.29/3.54  
% 3.29/3.54  % surj_sum_decode
% 3.29/3.54  thf(fact_4268_divmod__step__int__def,axiom,
% 3.29/3.54      ( unique5024387138958732305ep_int
% 3.29/3.54      = ( ^ [L3: num] :
% 3.29/3.54            ( produc4245557441103728435nt_int
% 3.29/3.54            @ ^ [Q3: int,R5: int] : ( if_Pro3027730157355071871nt_int @ ( ord_less_eq_int @ ( numeral_numeral_int @ L3 ) @ R5 ) @ ( product_Pair_int_int @ ( plus_plus_int @ ( times_times_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ Q3 ) @ one_one_int ) @ ( minus_minus_int @ R5 @ ( numeral_numeral_int @ L3 ) ) ) @ ( product_Pair_int_int @ ( times_times_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ Q3 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % divmod_step_int_def
% 3.29/3.54  thf(fact_4269_divmod__step__nat__def,axiom,
% 3.29/3.54      ( unique5026877609467782581ep_nat
% 3.29/3.54      = ( ^ [L3: num] :
% 3.29/3.54            ( produc2626176000494625587at_nat
% 3.29/3.54            @ ^ [Q3: nat,R5: nat] : ( if_Pro6206227464963214023at_nat @ ( ord_less_eq_nat @ ( numeral_numeral_nat @ L3 ) @ R5 ) @ ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Q3 ) @ one_one_nat ) @ ( minus_minus_nat @ R5 @ ( numeral_numeral_nat @ L3 ) ) ) @ ( product_Pair_nat_nat @ ( times_times_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Q3 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % divmod_step_nat_def
% 3.29/3.54  thf(fact_4270_divmod__step__integer__def,axiom,
% 3.29/3.54      ( unique4921790084139445826nteger
% 3.29/3.54      = ( ^ [L3: num] :
% 3.29/3.54            ( produc6916734918728496179nteger
% 3.29/3.54            @ ^ [Q3: code_integer,R5: code_integer] : ( if_Pro6119634080678213985nteger @ ( ord_le3102999989581377725nteger @ ( numera6620942414471956472nteger @ L3 ) @ R5 ) @ ( produc1086072967326762835nteger @ ( plus_p5714425477246183910nteger @ ( times_3573771949741848930nteger @ ( numera6620942414471956472nteger @ ( bit0 @ one ) ) @ Q3 ) @ one_one_Code_integer ) @ ( minus_8373710615458151222nteger @ R5 @ ( numera6620942414471956472nteger @ L3 ) ) ) @ ( produc1086072967326762835nteger @ ( times_3573771949741848930nteger @ ( numera6620942414471956472nteger @ ( bit0 @ one ) ) @ Q3 ) @ R5 ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % divmod_step_integer_def
% 3.29/3.54  thf(fact_4271_nat__of__integer__code,axiom,
% 3.29/3.54      ( code_nat_of_integer
% 3.29/3.54      = ( ^ [K5: code_integer] :
% 3.29/3.54            ( if_nat @ ( ord_le3102999989581377725nteger @ K5 @ zero_z3403309356797280102nteger ) @ zero_zero_nat
% 3.29/3.54            @ ( produc1555791787009142072er_nat
% 3.29/3.54              @ ^ [L3: code_integer,J: code_integer] : ( if_nat @ ( J = zero_z3403309356797280102nteger ) @ ( plus_plus_nat @ ( code_nat_of_integer @ L3 ) @ ( code_nat_of_integer @ L3 ) ) @ ( plus_plus_nat @ ( plus_plus_nat @ ( code_nat_of_integer @ L3 ) @ ( code_nat_of_integer @ L3 ) ) @ one_one_nat ) )
% 3.29/3.54              @ ( code_divmod_integer @ K5 @ ( numera6620942414471956472nteger @ ( bit0 @ one ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % nat_of_integer_code
% 3.29/3.54  thf(fact_4272_num__of__integer__code,axiom,
% 3.29/3.54      ( code_num_of_integer
% 3.29/3.54      = ( ^ [K5: code_integer] :
% 3.29/3.54            ( if_num @ ( ord_le3102999989581377725nteger @ K5 @ one_one_Code_integer ) @ one
% 3.29/3.54            @ ( produc7336495610019696514er_num
% 3.29/3.54              @ ^ [L3: code_integer,J: code_integer] : ( if_num @ ( J = zero_z3403309356797280102nteger ) @ ( plus_plus_num @ ( code_num_of_integer @ L3 ) @ ( code_num_of_integer @ L3 ) ) @ ( plus_plus_num @ ( plus_plus_num @ ( code_num_of_integer @ L3 ) @ ( code_num_of_integer @ L3 ) ) @ one ) )
% 3.29/3.54              @ ( code_divmod_integer @ K5 @ ( numera6620942414471956472nteger @ ( bit0 @ one ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % num_of_integer_code
% 3.29/3.54  thf(fact_4273_divmod__integer__code,axiom,
% 3.29/3.54      ( code_divmod_integer
% 3.29/3.54      = ( ^ [K5: code_integer,L3: code_integer] :
% 3.29/3.54            ( if_Pro6119634080678213985nteger @ ( K5 = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ zero_z3403309356797280102nteger @ zero_z3403309356797280102nteger )
% 3.29/3.54            @ ( if_Pro6119634080678213985nteger @ ( ord_le6747313008572928689nteger @ zero_z3403309356797280102nteger @ L3 )
% 3.29/3.54              @ ( if_Pro6119634080678213985nteger @ ( ord_le6747313008572928689nteger @ zero_z3403309356797280102nteger @ K5 ) @ ( code_divmod_abs @ K5 @ L3 )
% 3.29/3.54                @ ( produc6916734918728496179nteger
% 3.29/3.54                  @ ^ [R5: code_integer,S: code_integer] : ( if_Pro6119634080678213985nteger @ ( S = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ ( uminus1351360451143612070nteger @ R5 ) @ zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ ( minus_8373710615458151222nteger @ ( uminus1351360451143612070nteger @ R5 ) @ one_one_Code_integer ) @ ( minus_8373710615458151222nteger @ L3 @ S ) ) )
% 3.29/3.54                  @ ( code_divmod_abs @ K5 @ L3 ) ) )
% 3.29/3.54              @ ( if_Pro6119634080678213985nteger @ ( L3 = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ zero_z3403309356797280102nteger @ K5 )
% 3.29/3.54                @ ( produc6499014454317279255nteger @ uminus1351360451143612070nteger
% 3.29/3.54                  @ ( if_Pro6119634080678213985nteger @ ( ord_le6747313008572928689nteger @ K5 @ zero_z3403309356797280102nteger ) @ ( code_divmod_abs @ K5 @ L3 )
% 3.29/3.54                    @ ( produc6916734918728496179nteger
% 3.29/3.54                      @ ^ [R5: code_integer,S: code_integer] : ( if_Pro6119634080678213985nteger @ ( S = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ ( uminus1351360451143612070nteger @ R5 ) @ zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ ( minus_8373710615458151222nteger @ ( uminus1351360451143612070nteger @ R5 ) @ one_one_Code_integer ) @ ( minus_8373710615458151222nteger @ ( uminus1351360451143612070nteger @ L3 ) @ S ) ) )
% 3.29/3.54                      @ ( code_divmod_abs @ K5 @ L3 ) ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % divmod_integer_code
% 3.29/3.54  thf(fact_4274_int__of__integer__code,axiom,
% 3.29/3.54      ( code_int_of_integer
% 3.29/3.54      = ( ^ [K5: code_integer] :
% 3.29/3.54            ( if_int @ ( ord_le6747313008572928689nteger @ K5 @ zero_z3403309356797280102nteger ) @ ( uminus_uminus_int @ ( code_int_of_integer @ ( uminus1351360451143612070nteger @ K5 ) ) )
% 3.29/3.54            @ ( if_int @ ( K5 = zero_z3403309356797280102nteger ) @ zero_zero_int
% 3.29/3.54              @ ( produc1553301316500091796er_int
% 3.29/3.54                @ ^ [L3: code_integer,J: code_integer] : ( if_int @ ( J = zero_z3403309356797280102nteger ) @ ( times_times_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( code_int_of_integer @ L3 ) ) @ ( plus_plus_int @ ( times_times_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( code_int_of_integer @ L3 ) ) @ one_one_int ) )
% 3.29/3.54                @ ( code_divmod_integer @ K5 @ ( numera6620942414471956472nteger @ ( bit0 @ one ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % int_of_integer_code
% 3.29/3.54  thf(fact_4275_Code__Numeral_Onegative__def,axiom,
% 3.29/3.54      ( code_negative
% 3.29/3.54      = ( comp_C3531382070062128313er_num @ uminus1351360451143612070nteger @ numera6620942414471956472nteger ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Code_Numeral.negative_def
% 3.29/3.54  thf(fact_4276_bit__cut__integer__code,axiom,
% 3.29/3.54      ( code_bit_cut_integer
% 3.29/3.54      = ( ^ [K5: code_integer] :
% 3.29/3.54            ( if_Pro5737122678794959658eger_o @ ( K5 = zero_z3403309356797280102nteger ) @ ( produc6677183202524767010eger_o @ zero_z3403309356797280102nteger @ $false )
% 3.29/3.54            @ ( produc9125791028180074456eger_o
% 3.29/3.54              @ ^ [R5: code_integer,S: code_integer] : ( produc6677183202524767010eger_o @ ( if_Code_integer @ ( ord_le6747313008572928689nteger @ zero_z3403309356797280102nteger @ K5 ) @ R5 @ ( minus_8373710615458151222nteger @ ( uminus1351360451143612070nteger @ R5 ) @ S ) ) @ ( S = one_one_Code_integer ) )
% 3.29/3.54              @ ( code_divmod_abs @ K5 @ ( numera6620942414471956472nteger @ ( bit0 @ one ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % bit_cut_integer_code
% 3.29/3.54  thf(fact_4277_divmod__integer__eq__cases,axiom,
% 3.29/3.54      ( code_divmod_integer
% 3.29/3.54      = ( ^ [K5: code_integer,L3: code_integer] :
% 3.29/3.54            ( if_Pro6119634080678213985nteger @ ( K5 = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ zero_z3403309356797280102nteger @ zero_z3403309356797280102nteger )
% 3.29/3.54            @ ( if_Pro6119634080678213985nteger @ ( L3 = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ zero_z3403309356797280102nteger @ K5 )
% 3.29/3.54              @ ( comp_C1593894019821074884nteger @ ( comp_C8797469213163452608nteger @ produc6499014454317279255nteger @ times_3573771949741848930nteger ) @ sgn_sgn_Code_integer @ L3
% 3.29/3.54                @ ( if_Pro6119634080678213985nteger
% 3.29/3.54                  @ ( ( sgn_sgn_Code_integer @ K5 )
% 3.29/3.54                    = ( sgn_sgn_Code_integer @ L3 ) )
% 3.29/3.54                  @ ( code_divmod_abs @ K5 @ L3 )
% 3.29/3.54                  @ ( produc6916734918728496179nteger
% 3.29/3.54                    @ ^ [R5: code_integer,S: code_integer] : ( if_Pro6119634080678213985nteger @ ( S = zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ ( uminus1351360451143612070nteger @ R5 ) @ zero_z3403309356797280102nteger ) @ ( produc1086072967326762835nteger @ ( minus_8373710615458151222nteger @ ( uminus1351360451143612070nteger @ R5 ) @ one_one_Code_integer ) @ ( minus_8373710615458151222nteger @ ( abs_abs_Code_integer @ L3 ) @ S ) ) )
% 3.29/3.54                    @ ( code_divmod_abs @ K5 @ L3 ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % divmod_integer_eq_cases
% 3.29/3.54  thf(fact_4278_UNIV__char__of__nat,axiom,
% 3.29/3.54      ( top_top_set_char
% 3.29/3.54      = ( image_nat_char @ unique3096191561947761185of_nat @ ( set_or4665077453230672383an_nat @ zero_zero_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % UNIV_char_of_nat
% 3.29/3.54  thf(fact_4279_num__of__integer__def,axiom,
% 3.29/3.54      ( code_num_of_integer
% 3.29/3.54      = ( map_fu1227494855608507351um_num @ code_int_of_integer @ id_num @ ( comp_nat_num_int @ num_of_nat @ nat2 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % num_of_integer_def
% 3.29/3.54  thf(fact_4280_range__nat__of__char,axiom,
% 3.29/3.54      ( ( image_char_nat @ comm_s629917340098488124ar_nat @ top_top_set_char )
% 3.29/3.54      = ( set_or4665077453230672383an_nat @ zero_zero_nat @ ( numeral_numeral_nat @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ ( bit0 @ one ) ) ) ) ) ) ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % range_nat_of_char
% 3.29/3.54  thf(fact_4281_num__of__integer_Orsp,axiom,
% 3.29/3.54      ( bNF_re7626690874201225453um_num
% 3.29/3.54      @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.54      @ ^ [Y2: num,Z: num] : ( Y2 = Z )
% 3.29/3.54      @ ( comp_nat_num_int @ num_of_nat @ nat2 )
% 3.29/3.54      @ ( comp_nat_num_int @ num_of_nat @ nat2 ) ) ).
% 3.29/3.54  
% 3.29/3.54  % num_of_integer.rsp
% 3.29/3.54  thf(fact_4282_num__of__integer_Otransfer,axiom,
% 3.29/3.54      ( bNF_re6718328864250387230um_num @ code_pcr_integer
% 3.29/3.54      @ ^ [Y2: num,Z: num] : ( Y2 = Z )
% 3.29/3.54      @ ( comp_nat_num_int @ num_of_nat @ nat2 )
% 3.29/3.54      @ code_num_of_integer ) ).
% 3.29/3.54  
% 3.29/3.54  % num_of_integer.transfer
% 3.29/3.54  thf(fact_4283_pcr__integer__def,axiom,
% 3.29/3.54      ( code_pcr_integer
% 3.29/3.54      = ( relcom967497705283160040nteger
% 3.29/3.54        @ ^ [Y2: int,Z: int] : ( Y2 = Z )
% 3.29/3.54        @ code_cr_integer ) ) ).
% 3.29/3.54  
% 3.29/3.54  % pcr_integer_def
% 3.29/3.54  thf(fact_4284_Random__Pred_Onot__randompred__def,axiom,
% 3.29/3.54      ( random6974930770145893639ompred
% 3.29/3.54      = ( ^ [P4: produc7822875418678951345atural > produc4675096598859438275atural,S: produc7822875418678951345atural] :
% 3.29/3.54            ( produc6665183775751917029atural
% 3.29/3.54            @ ^ [P5: pred_Product_unit,S7: produc7822875418678951345atural] : ( if_Pro3444522238938527101atural @ ( eval_Product_unit @ P5 @ product_Unity ) @ ( produc5069803637994805237atural @ bot_bo2717538794563056311t_unit @ S7 ) @ ( produc5069803637994805237atural @ ( single_Product_unit @ product_Unity ) @ S7 ) )
% 3.29/3.54            @ ( P4 @ S ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Random_Pred.not_randompred_def
% 3.29/3.54  thf(fact_4285_rat__floor__code,axiom,
% 3.29/3.54      ( archim3151403230148437115or_rat
% 3.29/3.54      = ( ^ [P3: rat] : ( produc8211389475949308722nt_int @ divide_divide_int @ ( quotient_of @ P3 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % rat_floor_code
% 3.29/3.54  thf(fact_4286_Divides_Oadjust__div__def,axiom,
% 3.29/3.54      ( adjust_div
% 3.29/3.54      = ( produc8211389475949308722nt_int
% 3.29/3.54        @ ^ [Q3: int,R5: int] : ( plus_plus_int @ Q3 @ ( zero_n2684676970156552555ol_int @ ( R5 != zero_zero_int ) ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % Divides.adjust_div_def
% 3.29/3.54  thf(fact_4287_take__bit__num__code,axiom,
% 3.29/3.54      ( bit_take_bit_num
% 3.29/3.54      = ( ^ [N4: nat,M5: num] :
% 3.29/3.54            ( produc478579273971653890on_num
% 3.29/3.54            @ ^ [A5: nat,X4: num] :
% 3.29/3.54                ( case_nat_option_num @ none_num
% 3.29/3.54                @ ^ [O: nat] :
% 3.29/3.54                    ( case_num_option_num @ ( some_num @ one )
% 3.29/3.54                    @ ^ [P3: num] :
% 3.29/3.54                        ( case_o6005452278849405969um_num @ none_num
% 3.29/3.54                        @ ^ [Q3: num] : ( some_num @ ( bit0 @ Q3 ) )
% 3.29/3.54                        @ ( bit_take_bit_num @ O @ P3 ) )
% 3.29/3.54                    @ ^ [P3: num] : ( some_num @ ( case_option_num_num @ one @ bit1 @ ( bit_take_bit_num @ O @ P3 ) ) )
% 3.29/3.54                    @ X4 )
% 3.29/3.54                @ A5 )
% 3.29/3.54            @ ( product_Pair_nat_num @ N4 @ M5 ) ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % take_bit_num_code
% 3.29/3.54  thf(fact_4288_list__ex__iff__not__all__inverval__nat,axiom,
% 3.29/3.54      ! [P2: nat > $o,I: nat,J4: nat] :
% 3.29/3.54        ( ( list_ex_nat @ P2 @ ( upt @ I @ J4 ) )
% 3.29/3.54        = ( ~ ( all_interval_nat @ ( comp_o_o_nat @ (~) @ P2 ) @ I @ J4 ) ) ) ).
% 3.29/3.54  
% 3.29/3.54  % list_ex_iff_not_all_inverval_nat
% 3.29/3.54  
% 3.29/3.54  % Helper facts (39)
% 3.29/3.54  thf(help_If_2_1_If_001t__Int__Oint_T,axiom,
% 3.29/3.54      ! [X2: int,Y3: int] :
% 3.29/3.54        ( ( if_int @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Int__Oint_T,axiom,
% 3.29/3.54      ! [X2: int,Y3: int] :
% 3.29/3.54        ( ( if_int @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Nat__Onat_T,axiom,
% 3.29/3.54      ! [X2: nat,Y3: nat] :
% 3.29/3.54        ( ( if_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Nat__Onat_T,axiom,
% 3.29/3.54      ! [X2: nat,Y3: nat] :
% 3.29/3.54        ( ( if_nat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Num__Onum_T,axiom,
% 3.29/3.54      ! [X2: num,Y3: num] :
% 3.29/3.54        ( ( if_num @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Num__Onum_T,axiom,
% 3.29/3.54      ! [X2: num,Y3: num] :
% 3.29/3.54        ( ( if_num @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Rat__Orat_T,axiom,
% 3.29/3.54      ! [X2: rat,Y3: rat] :
% 3.29/3.54        ( ( if_rat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Rat__Orat_T,axiom,
% 3.29/3.54      ! [X2: rat,Y3: rat] :
% 3.29/3.54        ( ( if_rat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Set__Oset_I_Eo_J_T,axiom,
% 3.29/3.54      ! [X2: set_o,Y3: set_o] :
% 3.29/3.54        ( ( if_set_o @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Set__Oset_I_Eo_J_T,axiom,
% 3.29/3.54      ! [X2: set_o,Y3: set_o] :
% 3.29/3.54        ( ( if_set_o @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Ounit_T,axiom,
% 3.29/3.54      ! [X2: product_unit,Y3: product_unit] :
% 3.29/3.54        ( ( if_Product_unit @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Ounit_T,axiom,
% 3.29/3.54      ! [X2: product_unit,Y3: product_unit] :
% 3.29/3.54        ( ( if_Product_unit @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Code____Numeral__Ointeger_T,axiom,
% 3.29/3.54      ! [X2: code_integer,Y3: code_integer] :
% 3.29/3.54        ( ( if_Code_integer @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Code____Numeral__Ointeger_T,axiom,
% 3.29/3.54      ! [X2: code_integer,Y3: code_integer] :
% 3.29/3.54        ( ( if_Code_integer @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Set__Oset_It__Nat__Onat_J_T,axiom,
% 3.29/3.54      ! [X2: set_nat,Y3: set_nat] :
% 3.29/3.54        ( ( if_set_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Set__Oset_It__Nat__Onat_J_T,axiom,
% 3.29/3.54      ! [X2: set_nat,Y3: set_nat] :
% 3.29/3.54        ( ( if_set_nat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Set__Oset_It__Product____Type__Ounit_J_T,axiom,
% 3.29/3.54      ! [X2: set_Product_unit,Y3: set_Product_unit] :
% 3.29/3.54        ( ( if_set_Product_unit @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Set__Oset_It__Product____Type__Ounit_J_T,axiom,
% 3.29/3.54      ! [X2: set_Product_unit,Y3: set_Product_unit] :
% 3.29/3.54        ( ( if_set_Product_unit @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Heap____Monad__OHeap_It__Heap__Oref_Itf__a_J_J_T,axiom,
% 3.29/3.54      ! [X2: heap_Heap_ref_a,Y3: heap_Heap_ref_a] :
% 3.29/3.54        ( ( if_Heap_Heap_ref_a @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Heap____Monad__OHeap_It__Heap__Oref_Itf__a_J_J_T,axiom,
% 3.29/3.54      ! [X2: heap_Heap_ref_a,Y3: heap_Heap_ref_a] :
% 3.29/3.54        ( ( if_Heap_Heap_ref_a @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_T,axiom,
% 3.29/3.54      ! [X2: product_prod_int_int,Y3: product_prod_int_int] :
% 3.29/3.54        ( ( if_Pro3027730157355071871nt_int @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_T,axiom,
% 3.29/3.54      ! [X2: product_prod_int_int,Y3: product_prod_int_int] :
% 3.29/3.54        ( ( if_Pro3027730157355071871nt_int @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_T,axiom,
% 3.29/3.54      ! [X2: product_prod_nat_nat,Y3: product_prod_nat_nat] :
% 3.29/3.54        ( ( if_Pro6206227464963214023at_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_T,axiom,
% 3.29/3.54      ! [X2: product_prod_nat_nat,Y3: product_prod_nat_nat] :
% 3.29/3.54        ( ( if_Pro6206227464963214023at_nat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_T,axiom,
% 3.29/3.54      ! [X2: produc6271795597528267376eger_o,Y3: produc6271795597528267376eger_o] :
% 3.29/3.54        ( ( if_Pro5737122678794959658eger_o @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_M_Eo_J_T,axiom,
% 3.29/3.54      ! [X2: produc6271795597528267376eger_o,Y3: produc6271795597528267376eger_o] :
% 3.29/3.54        ( ( if_Pro5737122678794959658eger_o @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T,axiom,
% 3.29/3.54      ! [X2: produc8923325533196201883nteger,Y3: produc8923325533196201883nteger] :
% 3.29/3.54        ( ( if_Pro6119634080678213985nteger @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T,axiom,
% 3.29/3.54      ! [X2: produc8923325533196201883nteger,Y3: produc8923325533196201883nteger] :
% 3.29/3.54        ( ( if_Pro6119634080678213985nteger @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_T,axiom,
% 3.29/3.54      ! [X2: produc859450856879609959at_nat,Y3: produc859450856879609959at_nat] :
% 3.29/3.54        ( ( if_Pro4507677147265585453at_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_T,axiom,
% 3.29/3.54      ! [X2: produc859450856879609959at_nat,Y3: produc859450856879609959at_nat] :
% 3.29/3.54        ( ( if_Pro4507677147265585453at_nat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_T,axiom,
% 3.29/3.54      ! [X2: set_Pr8693737435421807431at_nat,Y3: set_Pr8693737435421807431at_nat] :
% 3.29/3.54        ( ( if_set1508868558775481357at_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_Mt__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_T,axiom,
% 3.29/3.54      ! [X2: set_Pr8693737435421807431at_nat,Y3: set_Pr8693737435421807431at_nat] :
% 3.29/3.54        ( ( if_set1508868558775481357at_nat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Predicate__Opred_It__Product____Type__Ounit_J_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J_T,axiom,
% 3.29/3.54      ! [X2: produc4675096598859438275atural,Y3: produc4675096598859438275atural] :
% 3.29/3.54        ( ( if_Pro3444522238938527101atural @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Predicate__Opred_It__Product____Type__Ounit_J_Mt__Product____Type__Oprod_It__Code____Numeral__Onatural_Mt__Code____Numeral__Onatural_J_J_T,axiom,
% 3.29/3.54      ! [X2: produc4675096598859438275atural,Y3: produc4675096598859438275atural] :
% 3.29/3.54        ( ( if_Pro3444522238938527101atural @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_T,axiom,
% 3.29/3.54      ! [X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat] :
% 3.29/3.54        ( ( if_Pro3594990065127090477at_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_1_1_If_001t__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_T,axiom,
% 3.29/3.54      ! [X2: produc3843707927480180839at_nat,Y3: produc3843707927480180839at_nat] :
% 3.29/3.54        ( ( if_Pro3594990065127090477at_nat @ $true @ X2 @ Y3 )
% 3.29/3.54        = X2 ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_3_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_T,axiom,
% 3.29/3.54      ! [P2: $o] :
% 3.29/3.54        ( ( P2 = $true )
% 3.29/3.54        | ( P2 = $false ) ) ).
% 3.29/3.54  
% 3.29/3.54  thf(help_If_2_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_T,axiom,
% 3.29/3.54      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.29/3.54        ( ( if_set3208018901896979469at_nat @ $false @ X2 @ Y3 )
% 3.29/3.54        = Y3 ) ).
% 3.35/4.33  
% 3.35/4.33  thf(help_If_1_1_If_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_Mt__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J_J_J_T,axiom,
% 3.35/4.33      ! [X2: set_Pr4329608150637261639at_nat,Y3: set_Pr4329608150637261639at_nat] :
% 3.35/4.33        ( ( if_set3208018901896979469at_nat @ $true @ X2 @ Y3 )
% 3.35/4.33        = X2 ) ).
% 3.35/4.33  
% 3.35/4.33  % Conjectures (2)
% 3.35/4.33  thf(conj_0,hypothesis,
% 3.35/4.33      $true ).
% 3.35/4.33  
% 3.35/4.33  thf(conj_1,conjecture,
% 3.35/4.33      thesis ).
% 3.35/4.33  
% 3.35/4.33  %------------------------------------------------------------------------------
% 3.35/4.33  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7IkxzgyZ80/cvc5---1.0.5_9444.p...
% 3.35/4.33  (declare-sort $$unsorted 0)
% 3.35/4.33  (declare-sort tptp.set_se7592288975875140775at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr7669914128964046860_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr7459493094073627847at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_se7255092946006855566_nat_o 0)
% 3.35/4.33  (declare-sort tptp.produc1319942482725812455at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc101387210554329899nteger 0)
% 3.35/4.33  (declare-sort tptp.set_Pr5564308138774400199at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc1906917888121415911at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr553994874890374343at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc349518998152878311at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc2296667697112141421t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc4041253808165279839at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_se5479201105039950375at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr7010166363911110284_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4111642102156807771nteger 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4329608150637261639at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_se9180647916752606350_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_se6425085446898223655at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc3843707927480180839at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc4675096598859438275atural 0)
% 3.35/4.33  (declare-sort tptp.produc723880050079548563nteger 0)
% 3.35/4.33  (declare-sort tptp.produc3629471303718939987t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8693737435421807431at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr7098892610798258687nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4155430604743465615at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr2560585780119916871nt_int 0)
% 3.35/4.33  (declare-sort tptp.produc3346328345660746739nteger 0)
% 3.35/4.33  (declare-sort tptp.produc8126358835630522215t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc859450856879609959at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc556289286640904991nt_int 0)
% 3.35/4.33  (declare-sort tptp.produc1522404539988722607at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc1219242969750017639nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr3798168094891919931at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr1133966238863718811t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc5561445381605014009at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Co4375521073081744395nteger 0)
% 3.35/4.33  (declare-sort tptp.set_Pr2539167527615954998at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr49084382684228242at_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr2543308735921124078nt_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr7717912310451564380at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr6123067485828015636nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_li2168235667650531768at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc7812382424243267045t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc1799199577659733785_ref_a 0)
% 3.35/4.33  (declare-sort tptp.set_Pr6558897299634722526_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4811707699266497531nteger 0)
% 3.35/4.33  (declare-sort tptp.produc5066145461314735602t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc3969062480670737046t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc8373899037510109440at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc4196048018000912732at_int 0)
% 3.35/4.33  (declare-sort tptp.produc1709102135585200056nt_nat 0)
% 3.35/4.33  (declare-sort tptp.produc7248412053542808358at_nat 0)
% 3.35/4.33  (declare-sort tptp.produc6945250483304103390nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr5094982260447487303t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_ch7978006088466058503at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_ch6383161263842509759nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_ra2113409117844698048at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_ra518564293221149304nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_na8845969913329135560at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_na7251125088705586816nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_in3169746454734514176um_num 0)
% 3.35/4.33  (declare-sort tptp.set_in7748886932685137004at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_in6154042108061588260nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_se4612898379794543757t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc652263959640188542_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_se4826145725398303499at_num 0)
% 3.35/4.33  (declare-sort tptp.set_se7855581050983116737at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_se6260736226359567993nt_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8415741480598773322nteger 0)
% 3.35/4.33  (declare-sort tptp.produc7822875418678951345atural 0)
% 3.35/4.33  (declare-sort tptp.produc8923325533196201883nteger 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4607231638325966922it_rat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr1763845938948868674it_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4334478416066269672t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Pr5889264611543340172t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Pr5908833319024110760_num_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr5582243495563764594_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8049984349381595834_int_o 0)
% 3.35/4.33  (declare-sort tptp.set_Co726186806682698383nteger 0)
% 3.35/4.33  (declare-sort tptp.produc8459935480633519975t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Pr3309569728657787619r_char 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4256460214963601898ar_rat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr1413074515586503650ar_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8146363407509552702ar_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8263365689940771946t_char 0)
% 3.35/4.33  (declare-sort tptp.set_Pr5464989305201766866unit_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr2926629348867340898t_char 0)
% 3.35/4.33  (declare-sort tptp.set_Pr6671815714118170108t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc5288414631154139675_ref_a 0)
% 3.35/4.33  (declare-sort tptp.set_he8644174446132254637t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8928021450653196913at_rat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr6084635751276098665at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr3594552606344371909at_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8218934625190621173um_num 0)
% 3.35/4.33  (declare-sort tptp.set_Pr3280342998896498603um_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr4105333604307423337at_rat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr6200539531224447659at_num 0)
% 3.35/4.33  (declare-sort tptp.set_Pr1261947904930325089at_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr7995236796853374141at_int 0)
% 3.35/4.33  (declare-sort tptp.set_Pr6292255179000445125nt_rat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr3448869479623346877nt_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr958786334691620121nt_int 0)
% 3.35/4.33  (declare-sort tptp.produc2963269191615333738nteger 0)
% 3.35/4.33  (declare-sort tptp.produc6315701296850634900it_rat 0)
% 3.35/4.33  (declare-sort tptp.produc600557818389255820it_nat 0)
% 3.35/4.33  (declare-sort tptp.produc526117512892780850t_unit 0)
% 3.35/4.33  (declare-sort tptp.produc6865911496949736918t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_ch7814610555394875923t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Sum_sum_nat_nat 0)
% 3.35/4.33  (declare-sort tptp.produc4146679068158859416_a_num 0)
% 3.35/4.33  (declare-sort tptp.produc3438435131210021710_a_nat 0)
% 3.35/4.33  (declare-sort tptp.produc8483956148555600810_a_int 0)
% 3.35/4.33  (declare-sort tptp.set_rat_Product_unit 0)
% 3.35/4.33  (declare-sort tptp.set_nat_num_o 0)
% 3.35/4.33  (declare-sort tptp.set_nat_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_int_int_o 0)
% 3.35/4.33  (declare-sort tptp.produc143505574896075907r_char 0)
% 3.35/4.33  (declare-sort tptp.set_Pr3149072824959771635_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr903927857289325719_int_o 0)
% 3.35/4.33  (declare-sort tptp.set_Pr2101469702781467981_o_nat 0)
% 3.35/4.33  (declare-sort tptp.set_Pr8834758594704517033_o_int 0)
% 3.35/4.33  (declare-sort tptp.produc6271795597528267376eger_o 0)
% 3.35/4.33  (declare-sort tptp.produc414006230660905482ar_rat 0)
% 3.35/4.33  (declare-sort tptp.produc3922234789054302210ar_nat 0)
% 3.35/4.33  (declare-sort tptp.produc8967755806399881310ar_int 0)
% 3.35/4.33  (declare-sort tptp.produc7485711547916492274unit_o 0)
% 3.35/4.33  (declare-sort tptp.produc3788275437394581276t_unit 0)
% 3.35/4.33  (declare-sort tptp.set_char_char 0)
% 3.35/4.33  (declare-sort tptp.set_set_Product_unit 0)
% 3.35/4.33  (declare-sort tptp.heap_e7401611519738050253t_unit 0)
% 3.35/4.33  (declare-sort tptp.product_prod_rat_rat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_rat_nat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_rat_int 0)
% 3.35/4.33  (declare-sort tptp.product_prod_num_num 0)
% 3.35/4.33  (declare-sort tptp.product_prod_num_nat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_nat_rat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_nat_num 0)
% 3.35/4.33  (declare-sort tptp.product_prod_nat_nat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_nat_int 0)
% 3.35/4.33  (declare-sort tptp.product_prod_int_rat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_int_nat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_int_int 0)
% 3.35/4.33  (declare-sort tptp.set_char_rat 0)
% 3.35/4.33  (declare-sort tptp.set_char_nat 0)
% 3.35/4.33  (declare-sort tptp.set_rat_char 0)
% 3.35/4.33  (declare-sort tptp.set_nat_char 0)
% 3.35/4.33  (declare-sort tptp.set_int_char 0)
% 3.35/4.33  (declare-sort tptp.set_o_Product_unit 0)
% 3.35/4.33  (declare-sort tptp.set_Product_prod_o_o 0)
% 3.35/4.33  (declare-sort tptp.heap_H6156071679106078628t_unit 0)
% 3.35/4.33  (declare-sort tptp.sum_sum_nat_nat 0)
% 3.35/4.33  (declare-sort tptp.set_rat_rat 0)
% 3.35/4.33  (declare-sort tptp.set_rat_nat 0)
% 3.35/4.33  (declare-sort tptp.set_nat_rat 0)
% 3.35/4.33  (declare-sort tptp.set_nat_nat 0)
% 3.35/4.33  (declare-sort tptp.set_nat_int 0)
% 3.35/4.33  (declare-sort tptp.set_int_rat 0)
% 3.35/4.33  (declare-sort tptp.set_int_num 0)
% 3.35/4.33  (declare-sort tptp.set_int_nat 0)
% 3.35/4.33  (declare-sort tptp.set_int_int 0)
% 3.35/4.33  (declare-sort tptp.heap_Heap_ref_a 0)
% 3.35/4.33  (declare-sort tptp.set_set_char 0)
% 3.35/4.33  (declare-sort tptp.pred_Product_unit 0)
% 3.35/4.33  (declare-sort tptp.set_list_nat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_num_o 0)
% 3.35/4.33  (declare-sort tptp.product_prod_nat_o 0)
% 3.35/4.33  (declare-sort tptp.product_prod_int_o 0)
% 3.35/4.33  (declare-sort tptp.product_prod_o_num 0)
% 3.35/4.33  (declare-sort tptp.product_prod_o_nat 0)
% 3.35/4.33  (declare-sort tptp.product_prod_o_int 0)
% 3.35/4.33  (declare-sort tptp.set_char_o 0)
% 3.35/4.33  (declare-sort tptp.set_set_rat 0)
% 3.35/4.33  (declare-sort tptp.set_set_nat 0)
% 3.35/4.33  (declare-sort tptp.set_set_int 0)
% 3.35/4.33  (declare-sort tptp.set_Code_integer 0)
% 3.35/4.33  (declare-sort tptp.set_Product_unit 0)
% 3.35/4.33  (declare-sort tptp.set_rat_o 0)
% 3.35/4.33  (declare-sort tptp.set_nat_o 0)
% 3.35/4.33  (declare-sort tptp.set_int_o 0)
% 3.35/4.33  (declare-sort tptp.set_o_nat 0)
% 3.35/4.33  (declare-sort tptp.ref_ref_a 0)
% 3.35/4.33  (declare-sort tptp.set_ref_a 0)
% 3.35/4.33  (declare-sort tptp.product_prod_o_o 0)
% 3.35/4.33  (declare-sort tptp.set_set_o 0)
% 3.35/4.33  (declare-sort tptp.option_num 0)
% 3.35/4.33  (declare-sort tptp.set_char 0)
% 3.35/4.33  (declare-sort tptp.set_o_o 0)
% 3.35/4.33  (declare-sort tptp.heap_Heap_a 0)
% 3.35/4.33  (declare-sort tptp.list_nat 0)
% 3.35/4.33  (declare-sort tptp.set_rat 0)
% 3.35/4.33  (declare-sort tptp.set_num 0)
% 3.35/4.33  (declare-sort tptp.set_nat 0)
% 3.35/4.33  (declare-sort tptp.set_int 0)
% 3.35/4.33  (declare-sort tptp.code_integer 0)
% 3.35/4.33  (declare-sort tptp.product_unit 0)
% 3.35/4.33  (declare-sort tptp.ref_a 0)
% 3.35/4.33  (declare-sort tptp.literal 0)
% 3.35/4.33  (declare-sort tptp.set_o 0)
% 3.35/4.33  (declare-sort tptp.char 0)
% 3.35/4.33  (declare-sort tptp.rat 0)
% 3.35/4.33  (declare-sort tptp.num 0)
% 3.35/4.33  (declare-sort tptp.nat 0)
% 3.35/4.33  (declare-sort tptp.int 0)
% 3.35/4.33  (declare-sort tptp.a 0)
% 3.35/4.33  (declare-fun tptp.archim3151403230148437115or_rat (tptp.rat) tptp.int)
% 3.35/4.33  (declare-fun tptp.bNF_Ca5157130669891357211al_int (tptp.set_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca5159621140400407487al_nat (tptp.set_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca8448034394003515314at_nat (tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca6037544080215331608at_nat (tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca8665028551170535155natLeq () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Ca8459412986667044542atLess () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Ca402612664642806191nteger (tptp.set_Pr958786334691620121nt_int (-> tptp.int tptp.code_integer)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca1965613569405424510nt_int (tptp.set_Pr958786334691620121nt_int (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca1968104039914474786nt_nat (tptp.set_Pr958786334691620121nt_int (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca1332973979827979050nt_rat (tptp.set_Pr958786334691620121nt_int (-> tptp.int tptp.rat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca30959104405961555nteger (tptp.set_Pr1261947904930325089at_nat (-> tptp.nat tptp.code_integer)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca966259857504369954at_int (tptp.set_Pr1261947904930325089at_nat (-> tptp.nat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca968750328013420230at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca333620267926924494at_rat (tptp.set_Pr1261947904930325089at_nat (-> tptp.nat tptp.rat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca4946600973702282345at_int (tptp.set_Pr4329608150637261639at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Ca4949091444211332621at_nat (tptp.set_Pr4329608150637261639at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_o_o (tptp.set_o (-> Bool Bool)) tptp.set_Product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_int_int (tptp.set_int (-> tptp.int tptp.int)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_int_nat (tptp.set_int (-> tptp.int tptp.nat)) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_nat_int (tptp.set_nat (-> tptp.nat tptp.int)) tptp.set_Pr7995236796853374141at_int)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_nat_nat (tptp.set_nat (-> tptp.nat tptp.nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_nat_num (tptp.set_nat (-> tptp.nat tptp.num)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_nat_rat (tptp.set_nat (-> tptp.nat tptp.rat)) tptp.set_Pr4105333604307423337at_rat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr_num_num (tptp.set_num (-> tptp.num tptp.num)) tptp.set_Pr8218934625190621173um_num)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1527221351080490466at_nat (tptp.set_se7855581050983116737at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7888059597227825506at_nat (tptp.set_se5479201105039950375at_nat (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1453458339979195462nteger (tptp.set_Co4375521073081744395nteger (-> (-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr4092539093814444494nteger (tptp.set_Co726186806682698383nteger (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr2243168462153404386nt_nat (tptp.set_int_int (-> (-> tptp.int tptp.int) tptp.int tptp.nat) (-> tptp.int tptp.int) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6763702254253555408nt_num (tptp.set_int_nat (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> tptp.int tptp.nat) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr318824752125099290nt_num (tptp.set_int_num (-> (-> tptp.int tptp.num) tptp.int tptp.num) (-> tptp.int tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr952524912132828525nt_int (tptp.set_in6154042108061588260nt_int (-> (-> tptp.int tptp.product_prod_int_int) tptp.int tptp.int) (-> tptp.int tptp.product_prod_int_int) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1462982377596425817nt_nat (tptp.set_in7748886932685137004at_nat (-> (-> tptp.int tptp.product_prod_nat_nat) tptp.int tptp.nat) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr5590197745039885111nt_num (tptp.set_in3169746454734514176um_num (-> (-> tptp.int tptp.product_prod_num_num) tptp.int tptp.num) (-> tptp.int tptp.product_prod_num_num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1532745923208276441at_nat (tptp.set_li2168235667650531768at_nat (-> (-> tptp.list_nat tptp.product_prod_nat_nat) tptp.list_nat tptp.nat) (-> tptp.list_nat tptp.product_prod_nat_nat) (-> tptp.list_nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_o_nat_o (tptp.set_nat_o (-> (-> tptp.nat Bool) tptp.nat Bool) (-> tptp.nat Bool) (-> tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr3847987472475283150at_nat (tptp.set_nat_nat (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr2878093617000900205at_int (tptp.set_na7251125088705586816nt_int (-> (-> tptp.nat tptp.product_prod_int_int) tptp.nat tptp.int) (-> tptp.nat tptp.product_prod_int_int) (-> tptp.nat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr3388551082464497497at_nat (tptp.set_na8845969913329135560at_nat (-> (-> tptp.nat tptp.product_prod_nat_nat) tptp.nat tptp.nat) (-> tptp.nat tptp.product_prod_nat_nat) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6858100456814184557at_int (tptp.set_ra518564293221149304nt_int (-> (-> tptp.rat tptp.product_prod_int_int) tptp.rat tptp.int) (-> tptp.rat tptp.product_prod_int_int) (-> tptp.rat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7368557922277781849at_nat (tptp.set_ra2113409117844698048at_nat (-> (-> tptp.rat tptp.product_prod_nat_nat) tptp.rat tptp.nat) (-> tptp.rat tptp.product_prod_nat_nat) (-> tptp.rat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6947267152677263533ar_int (tptp.set_ch6383161263842509759nt_int (-> (-> tptp.char tptp.product_prod_int_int) tptp.char tptp.int) (-> tptp.char tptp.product_prod_int_int) (-> tptp.char tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1779741795384719769ar_nat (tptp.set_ch7978006088466058503at_nat (-> (-> tptp.char tptp.product_prod_nat_nat) tptp.char tptp.nat) (-> tptp.char tptp.product_prod_nat_nat) (-> tptp.char tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_o_o (tptp.set_o (-> Bool Bool) Bool Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr395642070819736771t_unit (tptp.set_o (-> Bool tptp.product_unit) Bool tptp.product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_o_rat (tptp.set_o (-> Bool tptp.rat) Bool tptp.rat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_o_char (tptp.set_o (-> Bool tptp.char) Bool tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6045950513751025625er_int (tptp.set_Code_integer (-> tptp.code_integer tptp.int) tptp.code_integer tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6510375311308651680t_unit (tptp.set_ref_a (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit) tptp.ref_a tptp.heap_e7401611519738050253t_unit) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6684649993275963353nteger (tptp.set_int (-> tptp.int tptp.code_integer) tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_int_int (tptp.set_int (-> tptp.int tptp.int) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_int_nat (tptp.set_int (-> tptp.int tptp.nat) tptp.int tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_int_num (tptp.set_int (-> tptp.int tptp.num) tptp.int tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6591314147588017797at_nat (tptp.set_int (-> tptp.int tptp.product_prod_nat_nat) tptp.int tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_int_rat (tptp.set_int (-> tptp.int tptp.rat) tptp.int tptp.rat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_int_char (tptp.set_int (-> tptp.int tptp.char) tptp.int tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_list_nat_int (tptp.set_list_nat (-> tptp.list_nat tptp.int) tptp.list_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr600725020315365264st_nat (tptp.set_list_nat (-> tptp.list_nat tptp.list_nat) tptp.list_nat tptp.list_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr4119388860389678161at_nat (tptp.set_list_nat (-> tptp.list_nat tptp.product_prod_nat_nat) tptp.list_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_o (tptp.set_nat (-> tptp.nat Bool) tptp.nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_int (tptp.set_nat (-> tptp.nat tptp.int) tptp.nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_nat (tptp.set_nat (-> tptp.nat tptp.nat) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_num (tptp.set_nat (-> tptp.nat tptp.num) tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr3553472063123884001at_nat (tptp.set_nat (-> tptp.nat tptp.product_prod_nat_nat) tptp.nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1993012052113314029t_unit (tptp.set_nat (-> tptp.nat tptp.product_unit) tptp.nat tptp.product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_rat (tptp.set_nat (-> tptp.nat tptp.rat) tptp.nat tptp.rat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_nat_char (tptp.set_nat (-> tptp.nat tptp.char) tptp.nat tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_num_num (tptp.set_num (-> tptp.num tptp.num) tptp.num tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr5237703264515865432t_unit (tptp.set_Pr1133966238863718811t_unit (-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr5964920315653434322_ref_a (tptp.set_Pr1133966238863718811t_unit (-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit tptp.ref_a) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr2749509334501985047nt_int (tptp.set_Pr958786334691620121nt_int (-> tptp.product_prod_int_int tptp.int) tptp.product_prod_int_int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr8532703628021589765nt_num (tptp.set_Pr958786334691620121nt_int (-> tptp.product_prod_int_int tptp.num) tptp.product_prod_int_int tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr8859634586176591525_nat_o (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr190934199572118623at_int (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr193424670081168899at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr5974128493091723341at_num (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.num) tptp.product_prod_nat_nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7275288873855648526at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_rat_int (tptp.set_rat (-> tptp.rat tptp.int) tptp.rat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_rat_nat (tptp.set_rat (-> tptp.rat tptp.nat) tptp.rat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6883301533820405721at_nat (tptp.set_rat (-> tptp.rat tptp.product_prod_nat_nat) tptp.rat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_rat_rat (tptp.set_rat (-> tptp.rat tptp.rat) tptp.rat tptp.rat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_rat_char (tptp.set_rat (-> tptp.rat tptp.char) tptp.rat tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6677838525845560078at_nat (tptp.set_se7855581050983116737at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_char_int (tptp.set_char (-> tptp.char tptp.int) tptp.char tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_char_nat (tptp.set_char (-> tptp.char tptp.nat) tptp.char tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr8982933507515605408at_nat (tptp.set_char (-> tptp.char tptp.product_prod_nat_nat) tptp.char tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_char_rat (tptp.set_char (-> tptp.char tptp.rat) tptp.char tptp.rat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Grp_char_char (tptp.set_char (-> tptp.char tptp.char) tptp.char tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_co1764293801198077070nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer)) tptp.produc101387210554329899nteger)
% 3.35/4.33  (declare-fun tptp.bNF_convol_o_o_o ((-> Bool Bool) (-> Bool Bool) Bool) tptp.product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.bNF_convol_o_o_nat ((-> Bool Bool) (-> Bool tptp.nat) Bool) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.bNF_convol_o_nat_o ((-> Bool tptp.nat) (-> Bool Bool) Bool) tptp.product_prod_nat_o)
% 3.35/4.33  (declare-fun tptp.bNF_convol_o_nat_nat ((-> Bool tptp.nat) (-> Bool tptp.nat) Bool) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_convol_o_num_nat ((-> Bool tptp.num) (-> Bool tptp.nat) Bool) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co6169604788974073338nteger ((-> tptp.code_integer tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer) tptp.produc723880050079548563nteger)
% 3.35/4.33  (declare-fun tptp.bNF_co3156833790671340178nteger ((-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer) tptp.produc101387210554329899nteger)
% 3.35/4.33  (declare-fun tptp.bNF_co2174166945328636015nt_int ((-> tptp.int tptp.int) (-> tptp.int tptp.int) tptp.int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_co2176657415837686291nt_nat ((-> tptp.int tptp.int) (-> tptp.int tptp.nat) tptp.int) tptp.product_prod_int_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co1174813233427581459at_int ((-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int) tptp.product_prod_nat_int)
% 3.35/4.33  (declare-fun tptp.bNF_co1177303703936631735at_nat ((-> tptp.int tptp.nat) (-> tptp.int tptp.nat) tptp.int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co6958007526947186177at_num ((-> tptp.int tptp.nat) (-> tptp.int tptp.num) tptp.int) tptp.product_prod_nat_num)
% 3.35/4.33  (declare-fun tptp.bNF_co8531006144098876929um_nat ((-> tptp.int tptp.num) (-> tptp.int tptp.nat) tptp.int) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co5088337930254655563um_num ((-> tptp.int tptp.num) (-> tptp.int tptp.num) tptp.int) tptp.product_prod_num_num)
% 3.35/4.33  (declare-fun tptp.bNF_convol_nat_o_o ((-> tptp.nat Bool) (-> tptp.nat Bool) tptp.nat) tptp.product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.bNF_convol_nat_o_nat ((-> tptp.nat Bool) (-> tptp.nat tptp.nat) tptp.nat) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.bNF_convol_nat_nat_o ((-> tptp.nat tptp.nat) (-> tptp.nat Bool) tptp.nat) tptp.product_prod_nat_o)
% 3.35/4.33  (declare-fun tptp.bNF_co805650143699787099at_nat ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_convol_nat_num_o ((-> tptp.nat tptp.num) (-> tptp.nat Bool) tptp.nat) tptp.product_prod_num_o)
% 3.35/4.33  (declare-fun tptp.bNF_co8159352583862032293um_nat ((-> tptp.nat tptp.num) (-> tptp.nat tptp.nat) tptp.nat) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co4716684370017810927um_num ((-> tptp.nat tptp.num) (-> tptp.nat tptp.num) tptp.nat) tptp.product_prod_num_num)
% 3.35/4.33  (declare-fun tptp.bNF_convol_num_o_nat ((-> tptp.num Bool) (-> tptp.num tptp.nat) tptp.num) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co7969830008525221797at_nat ((-> tptp.num tptp.nat) (-> tptp.num tptp.nat) tptp.num) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co6100160411832691183um_nat ((-> tptp.num tptp.num) (-> tptp.num tptp.nat) tptp.num) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co6607689160745551784nt_int ((-> tptp.produc7812382424243267045t_unit tptp.int) (-> tptp.produc7812382424243267045t_unit tptp.int) tptp.produc7812382424243267045t_unit) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_co5610825919353547504at_nat ((-> tptp.produc7812382424243267045t_unit tptp.nat) (-> tptp.produc7812382424243267045t_unit tptp.nat) tptp.produc7812382424243267045t_unit) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co3748779267718262122nt_int ((-> tptp.product_prod_int_int tptp.int) (-> tptp.product_prod_int_int tptp.int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_co2751916026326257842at_nat ((-> tptp.product_prod_int_int tptp.nat) (-> tptp.product_prod_int_int tptp.nat) tptp.product_prod_int_int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co49787548815638194nt_int ((-> tptp.product_prod_nat_nat tptp.int) (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_co8276296344278409722at_nat ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_co147202357524637304at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_cs4943907971211754724nteger (tptp.set_Pr8415741480598773322nteger (-> tptp.product_prod_int_int tptp.int) (-> tptp.produc2963269191615333738nteger tptp.int) (-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int) (-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_cs7194553038297458973at_int (tptp.set_Pr49084382684228242at_int (-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat) (-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat) (-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat) (-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_fs409234558581511823t_unit ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool) tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.33  (declare-fun tptp.bNF_fs4543836202474805097nteger ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.produc2963269191615333738nteger) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_fs8167890477030535480nt_int ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_fs6799373675401686564at_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_fs6342258632037972510at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.produc4196048018000912732at_int) tptp.produc859450856879609959at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_fs1946732770515719151at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_pi4515785505327359899nteger ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.int tptp.code_integer) tptp.int)
% 3.35/4.33  (declare-fun tptp.bNF_pi770922605693484880at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_re6580757339198446453_nat_o ((-> (-> Bool Bool) (-> Bool Bool) Bool) (-> (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.nat Bool) tptp.nat Bool) Bool) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7413876800493218871nt_nat ((-> (-> Bool Bool) (-> tptp.int tptp.nat) Bool) (-> (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.int tptp.int) tptp.int tptp.nat) Bool) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1515921786380824775at_nat ((-> (-> Bool Bool) (-> tptp.nat tptp.nat) Bool) (-> (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) Bool) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7387973359137000979nt_num ((-> (-> Bool Bool) (-> tptp.nat tptp.num) Bool) (-> (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) Bool) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2961086658867094474nt_num ((-> (-> tptp.int tptp.int) (-> tptp.int tptp.code_integer) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.int) tptp.int tptp.num) (-> (-> tptp.int tptp.code_integer) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2034674868506727813nt_nat ((-> (-> tptp.int tptp.int) (-> tptp.int tptp.int) Bool) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.int) tptp.int tptp.nat) (-> (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7492190849051111027nt_num ((-> (-> tptp.int tptp.int) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.int) tptp.int tptp.nat) (-> (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5502197115626545091er_num ((-> (-> tptp.int tptp.nat) (-> tptp.code_integer tptp.nat) Bool) (-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.code_integer tptp.nat) tptp.code_integer tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3642433447925381491nt_nat ((-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6307232852808291833nt_nat ((-> (-> tptp.int tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> (-> tptp.int tptp.int) tptp.int tptp.nat) (-> (-> tptp.int tptp.int) tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int tptp.nat) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4099335476084980305nt_nat ((-> (-> tptp.int tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat tptp.nat) (-> (-> tptp.int tptp.int) tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.nat) (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat tptp.nat) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re9099949428469764705nt_num ((-> (-> tptp.int tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7435575058205011731_nat_o ((-> (-> tptp.int tptp.nat) (-> tptp.nat Bool) Bool) (-> (-> tptp.int tptp.num) (-> tptp.nat Bool) Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat Bool) tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re717418264989850719at_nat ((-> (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.int tptp.num) (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4310571189260822741nt_num ((-> (-> tptp.int tptp.nat) (-> tptp.nat tptp.num) Bool) (-> (-> (-> tptp.int tptp.int) tptp.int tptp.nat) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int tptp.nat) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7839584876883444355nt_num ((-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> (-> tptp.int tptp.int) tptp.int tptp.num) (-> (-> tptp.int tptp.code_integer) tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.int) tptp.int tptp.num) (-> (-> tptp.code_integer tptp.num) (-> tptp.int tptp.code_integer) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6292805115969292119er_num ((-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> tptp.int tptp.num) tptp.int tptp.num) (-> (-> tptp.code_integer tptp.num) tptp.code_integer tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4768042542643474933nt_num ((-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.num) tptp.int tptp.num) (-> (-> tptp.int tptp.num) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1982657550219213441nt_nat ((-> (-> tptp.nat Bool) (-> tptp.int tptp.int) Bool) (-> (-> tptp.nat Bool) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4102725726183926567nt_num ((-> (-> tptp.nat Bool) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.nat Bool) (-> tptp.int tptp.num) Bool) (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2697311982885662685_nat_o ((-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool) (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool) (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.nat Bool) tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2144779315220482269at_nat ((-> (-> tptp.nat Bool) (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.nat Bool) (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.nat Bool) tptp.nat Bool) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3930744952143938759_nat_o ((-> (-> tptp.nat tptp.nat) (-> Bool Bool) Bool) (-> (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.nat Bool) tptp.nat Bool) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8622501330148003679nt_num ((-> (-> tptp.nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.int tptp.num) Bool) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7744223787735169245_nat_o ((-> (-> tptp.nat tptp.nat) (-> tptp.nat Bool) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.nat Bool) Bool) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.nat Bool) tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3262823321055862553at_nat ((-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) Bool) (-> (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1160762158786734233nt_nat ((-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) Bool) (-> (-> (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.nat) (-> (-> tptp.int tptp.nat) tptp.int tptp.nat) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.nat) (-> (-> tptp.nat tptp.nat) (-> tptp.int tptp.nat) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re239970166668089693at_nat ((-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re584878643992547173nt_num ((-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.num) Bool) (-> (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) Bool) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3931674169038344211_nat_o ((-> (-> tptp.nat tptp.num) (-> Bool Bool) Bool) (-> (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat Bool) tptp.nat Bool) Bool) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> Bool Bool) (-> tptp.nat Bool) tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5843449549409830101nt_nat ((-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) Bool) (-> (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.int tptp.int) tptp.int tptp.nat) Bool) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6524732562925676389at_nat ((-> (-> tptp.nat tptp.num) (-> tptp.nat tptp.nat) Bool) (-> (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) Bool) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2655444144887082515er_num ((-> (-> tptp.nat tptp.num) (-> tptp.nat tptp.num) Bool) (-> (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.code_integer tptp.nat) tptp.code_integer tptp.num) Bool) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat tptp.num) (-> tptp.code_integer tptp.nat) tptp.code_integer tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3846787885862361009nt_num ((-> (-> tptp.nat tptp.num) (-> tptp.nat tptp.num) Bool) (-> (-> (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) Bool) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2742285375668209089nt_num ((-> (-> tptp.nat tptp.num) (-> tptp.nat tptp.num) Bool) (-> (-> (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.num) (-> (-> tptp.int tptp.nat) tptp.int tptp.num) Bool) (-> (-> tptp.nat tptp.num) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.num) (-> (-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4105200416192800571er_num ((-> (-> tptp.num tptp.num) (-> tptp.num tptp.num) Bool) (-> (-> (-> tptp.int tptp.num) tptp.int tptp.num) (-> (-> tptp.code_integer tptp.num) tptp.code_integer tptp.num) Bool) (-> (-> tptp.num tptp.num) (-> tptp.int tptp.num) tptp.int tptp.num) (-> (-> tptp.num tptp.num) (-> tptp.code_integer tptp.num) tptp.code_integer tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5446066262214944985nt_num ((-> (-> tptp.num tptp.num) (-> tptp.num tptp.num) Bool) (-> (-> (-> tptp.int tptp.num) tptp.int tptp.num) (-> (-> tptp.int tptp.num) tptp.int tptp.num) Bool) (-> (-> tptp.num tptp.num) (-> tptp.int tptp.num) tptp.int tptp.num) (-> (-> tptp.num tptp.num) (-> tptp.int tptp.num) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3284331099615978085nt_nat ((-> (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.int) Bool) (-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat tptp.nat) (-> (-> tptp.int tptp.int) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8419181437172746013nt_nat ((-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.nat) (-> (-> tptp.int tptp.nat) tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2682547871993127601nt_num ((-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat tptp.num) (-> (-> tptp.int tptp.nat) tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_rel_fun_o_o_o_o ((-> Bool Bool Bool) (-> Bool Bool Bool) (-> Bool Bool) (-> Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4895681925607069953_o_nat ((-> Bool tptp.int Bool) (-> Bool tptp.nat Bool) (-> Bool Bool) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4209105892566519389_o_nat ((-> Bool tptp.nat Bool) (-> Bool tptp.nat Bool) (-> Bool Bool) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re766437678722298023_o_num ((-> Bool tptp.nat Bool) (-> Bool tptp.num Bool) (-> Bool Bool) (-> tptp.nat tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1181178334029315097nteger ((-> tptp.code_integer tptp.code_integer Bool) (-> (-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool) (-> tptp.code_integer tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re40212662316476751um_num ((-> tptp.code_integer tptp.code_integer Bool) (-> tptp.num tptp.num Bool) (-> tptp.code_integer tptp.num) (-> tptp.code_integer tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8313794964846168862um_num ((-> tptp.code_integer tptp.int Bool) (-> tptp.num tptp.num Bool) (-> tptp.code_integer tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1366391616432607057unit_o ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) (-> (-> tptp.ref_a Bool) (-> tptp.heap_e7401611519738050253t_unit Bool) Bool) (-> tptp.ref_a tptp.ref_a Bool) (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5775369113877777_int_o ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) (-> (-> tptp.int Bool) (-> tptp.int Bool) Bool) (-> tptp.ref_a tptp.int Bool) (-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re9202112420002600977_nat_o ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool) (-> tptp.ref_a tptp.nat Bool) (-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1850668159662942673it_o_o ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) (-> Bool Bool Bool) (-> tptp.ref_a Bool) (-> tptp.heap_e7401611519738050253t_unit Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3379532845092657523nteger ((-> tptp.int tptp.code_integer Bool) (-> tptp.int tptp.code_integer Bool) (-> tptp.int tptp.int) (-> tptp.code_integer tptp.code_integer)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2807294637932363402at_nat ((-> tptp.int tptp.code_integer Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.int tptp.nat) (-> tptp.code_integer tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6718328864250387230um_num ((-> tptp.int tptp.code_integer Bool) (-> tptp.num tptp.num Bool) (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2828929484557863493at_int ((-> tptp.int tptp.code_integer Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.code_integer tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5404797796594736747unit_o ((-> tptp.int tptp.int Bool) (-> (-> tptp.ref_a Bool) (-> tptp.heap_e7401611519738050253t_unit Bool) Bool) (-> tptp.int tptp.ref_a Bool) (-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3403563459893282935_int_o ((-> tptp.int tptp.int Bool) (-> (-> tptp.int Bool) (-> tptp.int Bool) Bool) (-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3376528473927230327_nat_o ((-> tptp.int tptp.int Bool) (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool) (-> tptp.int tptp.nat Bool) (-> tptp.int tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5089333283451836215nt_o_o ((-> tptp.int tptp.int Bool) (-> Bool Bool Bool) (-> tptp.int Bool) (-> tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re982302072995117890nteger ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.code_integer Bool) (-> tptp.int tptp.int) (-> tptp.int tptp.code_integer)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4712519889275205905nt_int ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool) (-> tptp.int tptp.int) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4715010359784256181nt_nat ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.nat Bool) (-> tptp.int tptp.int) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3713166177374151349at_int ((-> tptp.int tptp.int Bool) (-> tptp.nat tptp.int Bool) (-> tptp.int tptp.nat) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3715656647883201625at_nat ((-> tptp.int tptp.int Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.int tptp.nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re272988434038980259at_num ((-> tptp.int tptp.int Bool) (-> tptp.nat tptp.num Bool) (-> tptp.int tptp.nat) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1845987051190671011um_nat ((-> tptp.int tptp.int Bool) (-> tptp.num tptp.nat Bool) (-> tptp.int tptp.num) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7626690874201225453um_num ((-> tptp.int tptp.int Bool) (-> tptp.num tptp.num Bool) (-> tptp.int tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8766404587435608311at_nat ((-> tptp.int tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4914077030771115051_nat_o ((-> tptp.int tptp.nat Bool) (-> tptp.nat Bool Bool) (-> tptp.int tptp.nat) (-> tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3344003087646356989at_nat ((-> tptp.int tptp.nat Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re9124706910656911431at_num ((-> tptp.int tptp.nat Bool) (-> tptp.nat tptp.num Bool) (-> tptp.int tptp.nat) (-> tptp.nat tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3760060065607074657_num_o ((-> tptp.int tptp.nat Bool) (-> tptp.num Bool Bool) (-> tptp.int tptp.num) (-> tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1474333490953826375um_nat ((-> tptp.int tptp.nat Bool) (-> tptp.num tptp.nat Bool) (-> tptp.int tptp.num) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4629543205785817921at_nat ((-> tptp.list_nat tptp.list_nat Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.list_nat tptp.nat) (-> tptp.list_nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re439150893885221597_nat_o ((-> tptp.nat Bool Bool) (-> tptp.nat Bool Bool) (-> tptp.nat tptp.nat) (-> Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8508505965575957011_num_o ((-> tptp.nat Bool Bool) (-> tptp.num Bool Bool) (-> tptp.nat tptp.num) (-> Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8207659476513966505_o_int ((-> tptp.nat tptp.int Bool) (-> Bool tptp.int Bool) (-> tptp.nat Bool) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8210149947023016781_o_nat ((-> tptp.nat tptp.int Bool) (-> Bool tptp.nat Bool) (-> tptp.nat Bool) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4767481733178795415_o_num ((-> tptp.nat tptp.int Bool) (-> Bool tptp.num Bool) (-> tptp.nat Bool) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6025474579976152573at_nat ((-> tptp.nat tptp.int Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2582806366131931207at_num ((-> tptp.nat tptp.int Bool) (-> tptp.nat tptp.num Bool) (-> tptp.nat tptp.nat) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4155804983283621959um_nat ((-> tptp.nat tptp.int Bool) (-> tptp.num tptp.nat Bool) (-> tptp.nat tptp.num) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5655699643857186083unit_o ((-> tptp.nat tptp.nat Bool) (-> (-> tptp.ref_a Bool) (-> tptp.heap_e7401611519738050253t_unit Bool) Bool) (-> tptp.nat tptp.ref_a Bool) (-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re605504016728627135_int_o ((-> tptp.nat tptp.nat Bool) (-> (-> tptp.int Bool) (-> tptp.int Bool) Bool) (-> tptp.nat tptp.int Bool) (-> tptp.nat tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re578469030762574527_nat_o ((-> tptp.nat tptp.nat Bool) (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4705727531993890431at_o_o ((-> tptp.nat tptp.nat Bool) (-> Bool Bool Bool) (-> tptp.nat Bool) (-> tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7523573913982466217_o_nat ((-> tptp.nat tptp.nat Bool) (-> Bool tptp.nat Bool) (-> tptp.nat Bool) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6650684261131312217nt_int ((-> tptp.nat tptp.nat Bool) (-> tptp.int tptp.int Bool) (-> tptp.nat tptp.int) (-> tptp.nat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1402873238235875719_nat_o ((-> tptp.nat tptp.nat Bool) (-> tptp.nat Bool Bool) (-> tptp.nat tptp.nat) (-> tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5653821019739307937at_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2211152805895086571at_num ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.num Bool) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3784151423046777323um_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.num tptp.nat Bool) (-> tptp.nat tptp.num) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re341483209202555957um_num ((-> tptp.nat tptp.nat Bool) (-> tptp.num tptp.num Bool) (-> tptp.nat tptp.num) (-> tptp.nat tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4702136315717946289at_rat ((-> tptp.nat tptp.nat Bool) (-> tptp.rat tptp.rat Bool) (-> tptp.nat tptp.rat) (-> tptp.nat tptp.rat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4736500879113541833um_num ((-> tptp.num tptp.num Bool) (-> tptp.num tptp.num Bool) (-> tptp.num tptp.num) (-> tptp.num tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re717283939379294677_int_o ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7408651293131936558nt_int ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6644619430987730960nt_o_o ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> Bool Bool Bool) (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6202762543029211035nteger ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.int tptp.code_integer Bool) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.code_integer)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re5552630237950767466nt_int ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.int tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4555766996558763186at_nat ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8466801222876787014um_num ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.num tptp.num Bool) (-> tptp.product_prod_nat_nat tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7400052026677387805at_int ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4202695980764964119_nat_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat Bool) Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3099431351363272937at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3666534408544137501at_o_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> Bool Bool Bool) (-> tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re20414067882207223nt_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.int tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.product_prod_nat_nat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re8246922863344978751at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re2241393799969408733at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1865807574169326223at_o_o ((-> tptp.rat tptp.rat Bool) (-> Bool Bool Bool) (-> tptp.rat Bool) (-> tptp.rat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7554818335971813481nt_int ((-> tptp.rat tptp.rat Bool) (-> tptp.int tptp.int Bool) (-> tptp.rat tptp.int) (-> tptp.rat tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6557955094579809201at_nat ((-> tptp.rat tptp.rat Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.rat tptp.nat) (-> tptp.rat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re1692451286490762625ar_o_o ((-> tptp.char tptp.char Bool) (-> Bool Bool Bool) (-> tptp.char Bool) (-> tptp.char Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4780507660726531203_o_int ((-> tptp.char tptp.char Bool) (-> Bool tptp.int Bool) (-> tptp.char Bool) (-> tptp.char tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4782998131235581479_o_nat ((-> tptp.char tptp.char Bool) (-> Bool tptp.nat Bool) (-> tptp.char Bool) (-> tptp.char tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re6064627146911078825_int_o ((-> tptp.char tptp.char Bool) (-> tptp.int Bool Bool) (-> tptp.char tptp.int) (-> tptp.char Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4731199128827642459nt_int ((-> tptp.char tptp.char Bool) (-> tptp.int tptp.int Bool) (-> tptp.char tptp.int) (-> tptp.char tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re4733689599336692735nt_nat ((-> tptp.char tptp.char Bool) (-> tptp.int tptp.nat Bool) (-> tptp.char tptp.int) (-> tptp.char tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re7885669492343766789_nat_o ((-> tptp.char tptp.char Bool) (-> tptp.nat Bool Bool) (-> tptp.char tptp.nat) (-> tptp.char Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3731845416926587903at_int ((-> tptp.char tptp.char Bool) (-> tptp.nat tptp.int Bool) (-> tptp.char tptp.nat) (-> tptp.char tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_re3734335887435638179at_nat ((-> tptp.char tptp.char Bool) (-> tptp.nat tptp.nat Bool) (-> tptp.char tptp.nat) (-> tptp.char tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_sn8323453914685745821t_unit ((-> tptp.ref_a tptp.ref_a Bool) (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.33  (declare-fun tptp.bNF_sn8000174127721201323nteger ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.produc2963269191615333738nteger) tptp.produc2963269191615333738nteger)
% 3.35/4.33  (declare-fun tptp.bNF_sn1062102010912252026nt_int ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_sn8916957246138178918at_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_sn649997494946348640at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.produc4196048018000912732at_int) tptp.produc4196048018000912732at_int)
% 3.35/4.33  (declare-fun tptp.bNF_sn1857951156667551021at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_vi7828673959370436579_int_o ((-> tptp.ref_a tptp.int) (-> tptp.heap_e7401611519738050253t_unit tptp.int) (-> tptp.int tptp.int Bool) tptp.ref_a tptp.heap_e7401611519738050253t_unit) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi4623496019404053219_nat_o ((-> tptp.ref_a tptp.nat) (-> tptp.heap_e7401611519738050253t_unit tptp.nat) (-> tptp.nat tptp.nat Bool) tptp.ref_a tptp.heap_e7401611519738050253t_unit) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi699694178825965831eger_o ((-> tptp.int tptp.int) (-> tptp.code_integer tptp.code_integer) (-> tptp.int tptp.code_integer Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2125572119366604152_int_o ((-> tptp.int tptp.int) (-> tptp.code_integer tptp.int) (-> tptp.int tptp.int Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi3884084463199473129_int_o ((-> tptp.int tptp.int) (-> tptp.int tptp.int) (-> tptp.int tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi3197508430158922565_int_o ((-> tptp.int tptp.int) (-> tptp.nat tptp.int) (-> tptp.int tptp.int Bool) tptp.int tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi5018550775591610529_nat_o ((-> tptp.int tptp.int) (-> tptp.nat tptp.nat) (-> tptp.int tptp.nat Bool) tptp.int tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi1281217848275042457_rat_o ((-> tptp.int tptp.int) (-> tptp.nat tptp.rat) (-> tptp.int tptp.rat Bool) tptp.int tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi9149698133064535136char_o ((-> tptp.int tptp.int) (-> tptp.nat tptp.char) (-> tptp.int tptp.char Bool) tptp.int tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2193923016096921761_nat_o ((-> tptp.int tptp.nat) (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi7769575839906753835_rat_o ((-> tptp.int tptp.nat) (-> tptp.num tptp.rat) (-> tptp.nat tptp.rat Bool) tptp.int tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi1300075849944819442char_o ((-> tptp.int tptp.nat) (-> tptp.num tptp.char) (-> tptp.nat tptp.char Bool) tptp.int tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2326032003723069084_num_o ((-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) (-> tptp.num tptp.num Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2107963681178519309_num_o ((-> tptp.int tptp.num) (-> tptp.int tptp.num) (-> tptp.num tptp.num Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2881549544236934259_int_o ((-> tptp.int tptp.product_prod_nat_nat) (-> tptp.code_integer tptp.int) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi1204582724742824157_nat_o ((-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi467646977814820164_int_o ((-> tptp.list_nat tptp.int) (-> tptp.code_integer tptp.int) (-> tptp.int tptp.int Bool) tptp.list_nat tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi5202502398764838569_nat_o ((-> tptp.list_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.list_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi5856767400800367702unit_o ((-> tptp.nat Bool) (-> Bool tptp.product_unit) (-> Bool tptp.product_unit Bool) tptp.nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi3868162310295888627_rat_o ((-> tptp.nat Bool) (-> Bool tptp.rat) (-> Bool tptp.rat Bool) tptp.nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi8816436626763797690char_o ((-> tptp.nat Bool) (-> Bool tptp.char) (-> Bool tptp.char Bool) tptp.nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi7331807916455492308_int_o ((-> tptp.nat tptp.int) (-> tptp.code_integer tptp.int) (-> tptp.int tptp.int Bool) tptp.nat tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi8357618154448083105_int_o ((-> tptp.nat tptp.int) (-> tptp.nat tptp.int) (-> tptp.int tptp.int Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi1731478210338170163_nat_o ((-> tptp.nat tptp.int) (-> tptp.num tptp.nat) (-> tptp.int tptp.nat Bool) tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi6818137723729380987_o_o_o ((-> tptp.nat tptp.nat) (-> Bool Bool) (-> tptp.nat Bool Bool) tptp.nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi1443435967014148806unit_o ((-> tptp.nat tptp.nat) (-> Bool tptp.product_unit) (-> tptp.nat tptp.product_unit Bool) tptp.nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi6667456707345531737_nat_o ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2930123780028963665_rat_o ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.rat) (-> tptp.nat tptp.rat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi8943400373106913048char_o ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.char) (-> tptp.nat tptp.char Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi190728152058600505_nat_o ((-> tptp.nat tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi1633389952966819264_nat_o ((-> tptp.product_prod_int_int tptp.int) (-> tptp.num tptp.nat) (-> tptp.int tptp.nat Bool) tptp.product_prod_int_int tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi5082502771524357669nt_o_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.int tptp.int Bool) (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi8966365312794588230_int_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int tptp.int) (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi33923956287962137eger_o ((-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.code_integer) (-> tptp.int tptp.code_integer Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi9094538908245281400_nat_o ((-> tptp.product_prod_nat_nat tptp.int) (-> tptp.num tptp.nat) (-> tptp.int tptp.nat Bool) tptp.product_prod_nat_nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2682369418337388893_int_o ((-> tptp.product_prod_nat_nat tptp.int) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.int Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi9025507403824386624_o_o_o ((-> tptp.product_prod_nat_nat tptp.nat) (-> Bool Bool) (-> tptp.nat Bool Bool) tptp.product_prod_nat_nat Bool) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi5493721401438417730_nat_o ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi5426221348228882691_int_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi763171854521451549_nat_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi508398028314858188_int_o ((-> tptp.rat tptp.int) (-> tptp.code_integer tptp.int) (-> tptp.int tptp.int Bool) tptp.rat tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi2997284877290766385_nat_o ((-> tptp.rat tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.rat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi7262943168399475603_int_o ((-> tptp.char tptp.int) (-> tptp.code_integer tptp.int) (-> tptp.int tptp.int Bool) tptp.char tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_vi728936465572800120_nat_o ((-> tptp.char tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.char tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr2943678036615987864nt_int (tptp.set_o (-> Bool tptp.int) (-> Bool tptp.int)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1946814795223983584at_nat (tptp.set_o (-> Bool tptp.nat) (-> Bool tptp.nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7727518618234538026at_num (tptp.set_o (-> Bool tptp.nat) (-> Bool tptp.num)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.bNF_Gr8686673574714534880nt_int (tptp.set_int (-> tptp.int tptp.int) (-> tptp.int tptp.int)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7689810333322530600at_nat (tptp.set_int (-> tptp.int tptp.nat) (-> tptp.int tptp.nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr4247142119478309234at_num (tptp.set_int (-> tptp.int tptp.nat) (-> tptp.int tptp.num)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.bNF_Gr8315020014477690244nt_int (tptp.set_nat (-> tptp.nat tptp.int) (-> tptp.nat tptp.int)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7318156773085685964at_nat (tptp.set_nat (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.bNF_Gr3875488559241464598at_num (tptp.set_nat (-> tptp.nat tptp.nat) (-> tptp.nat tptp.num)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.bNF_Gr5511461681843259283at_num (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.num)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.bNF_Gr166583433173494904er_num ((-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) (-> tptp.int tptp.code_integer Bool) tptp.num tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr7020624548710275655nt_num ((-> tptp.int tptp.num) (-> tptp.int tptp.num) (-> tptp.int tptp.int Bool) tptp.num tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr364077372107685167_int_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.int tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr1354378531936274772nt_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int tptp.int) (-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int)) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_Gr6955563364113978072nt_nat ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.bNF_We7690717809131995284nc_o_o (tptp.set_o tptp.set_o) tptp.set_o_o)
% 3.35/4.33  (declare-fun tptp.bNF_We6830391624356636116_o_nat (tptp.set_o tptp.set_nat) tptp.set_o_nat)
% 3.35/4.33  (declare-fun tptp.bNF_We8730861560085513481t_unit (tptp.set_o tptp.set_Product_unit) tptp.set_o_Product_unit)
% 3.35/4.33  (declare-fun tptp.bNF_We8537379975951060974nt_int (tptp.set_int tptp.set_int) tptp.set_int_int)
% 3.35/4.33  (declare-fun tptp.bNF_We8539870446460111250nt_nat (tptp.set_int tptp.set_nat) tptp.set_int_nat)
% 3.35/4.33  (declare-fun tptp.bNF_We7904740386373615514nt_rat (tptp.set_int tptp.set_rat) tptp.set_int_rat)
% 3.35/4.33  (declare-fun tptp.bNF_We7538026264050006418at_int (tptp.set_nat tptp.set_int) tptp.set_nat_int)
% 3.35/4.33  (declare-fun tptp.bNF_We7540516734559056694at_nat (tptp.set_nat tptp.set_nat) tptp.set_nat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_We6195730058148253354_rat_o (tptp.set_rat tptp.set_o) tptp.set_rat_o)
% 3.35/4.33  (declare-fun tptp.bNF_We7223962090624190782at_nat (tptp.set_rat tptp.set_nat) tptp.set_rat_nat)
% 3.35/4.33  (declare-fun tptp.bNF_We8564238559827753503t_unit (tptp.set_rat tptp.set_Product_unit) tptp.set_rat_Product_unit)
% 3.35/4.33  (declare-fun tptp.bNF_We6174688282833725809char_o (tptp.set_char tptp.set_o) tptp.set_char_o)
% 3.35/4.33  (declare-fun tptp.bNF_We935846424581991991ar_nat (tptp.set_char tptp.set_nat) tptp.set_char_nat)
% 3.35/4.33  (declare-fun tptp.bNF_We7396736742984212070t_unit (tptp.set_char tptp.set_Product_unit) tptp.set_ch7814610555394875923t_unit)
% 3.35/4.33  (declare-fun tptp.bNF_We2264329196211740764nt_int (tptp.set_int (-> tptp.int tptp.int) (-> tptp.int tptp.int) (-> tptp.int tptp.int) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.bNF_We2266819666720791040nt_nat (tptp.set_int (-> tptp.int tptp.int) (-> tptp.int tptp.nat) (-> tptp.nat tptp.int) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.bNF_We1264975484310686208at_int (tptp.set_int (-> tptp.int tptp.nat) (-> tptp.int tptp.int) (-> tptp.int tptp.int) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.bNF_We1267465954819736484at_nat (tptp.set_int (-> tptp.int tptp.nat) (-> tptp.int tptp.nat) (-> tptp.nat tptp.int) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.bNF_We1892675635974896128nt_int (tptp.set_int (-> tptp.nat tptp.int) (-> tptp.int tptp.int) (-> tptp.int tptp.nat) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.bNF_We1895166106483946404nt_nat (tptp.set_int (-> tptp.nat tptp.int) (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.bNF_We893321924073841572at_int (tptp.set_int (-> tptp.nat tptp.nat) (-> tptp.int tptp.int) (-> tptp.int tptp.nat) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.bNF_We895812394582891848at_nat (tptp.set_int (-> tptp.nat tptp.nat) (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.bNF_We576767280138975660at_int (tptp.set_int (-> tptp.nat tptp.rat) (-> tptp.int tptp.int) (-> tptp.int tptp.nat) tptp.int) tptp.rat)
% 3.35/4.33  (declare-fun tptp.bNF_We579257750648025936at_nat (tptp.set_int (-> tptp.nat tptp.rat) (-> tptp.int tptp.nat) (-> tptp.nat tptp.nat) tptp.int) tptp.rat)
% 3.35/4.33  (declare-fun tptp.bNF_We3818239936649020644el_nat (tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.basic_1872990034501187214nt_int ((-> tptp.int tptp.nat) (-> tptp.int tptp.nat) tptp.product_prod_int_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.basic_1875480505010237490nt_nat ((-> tptp.int tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_int_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.basic_873636322600132658at_int ((-> tptp.nat tptp.nat) (-> tptp.int tptp.nat) tptp.product_prod_nat_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.basic_876126793109182934at_nat ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.basic_685971451221398055t_unit (tptp.produc7812382424243267045t_unit) tptp.set_ref_a)
% 3.35/4.33  (declare-fun tptp.basic_fsts_int_int (tptp.product_prod_int_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.basic_fsts_nat_nat (tptp.product_prod_nat_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.basic_fsts_nat_num (tptp.product_prod_nat_num) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.basic_3661821009137050567at_nat (tptp.produc3843707927480180839at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.33  (declare-fun tptp.basic_1274512288150691911at_nat (tptp.produc1319942482725812455at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.33  (declare-fun tptp.basic_5328504652464829177at_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.basic_1496934909540232809t_unit (tptp.produc7812382424243267045t_unit) tptp.set_he8644174446132254637t_unit)
% 3.35/4.33  (declare-fun tptp.basic_snds_int_int (tptp.product_prod_int_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.basic_snds_nat_nat (tptp.product_prod_nat_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.basic_snds_nat_num (tptp.product_prod_nat_num) tptp.set_num)
% 3.35/4.33  (declare-fun tptp.basic_484852565060450053at_nat (tptp.produc3843707927480180839at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.33  (declare-fun tptp.basic_5713354656523905413at_nat (tptp.produc1319942482725812455at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.33  (declare-fun tptp.bit_take_bit_num (tptp.nat tptp.num) tptp.option_num)
% 3.35/4.33  (declare-fun tptp.code_bit_cut_integer (tptp.code_integer) tptp.produc6271795597528267376eger_o)
% 3.35/4.33  (declare-fun tptp.code_cr_integer (tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.code_divmod_abs (tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.code_divmod_integer (tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.code_int_of_integer (tptp.code_integer) tptp.int)
% 3.35/4.33  (declare-fun tptp.code_nat_of_integer (tptp.code_integer) tptp.nat)
% 3.35/4.33  (declare-fun tptp.code_negative (tptp.num) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.code_num_of_integer (tptp.code_integer) tptp.num)
% 3.35/4.33  (declare-fun tptp.code_pcr_integer (tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.complete_Inf_Inf_o_o (tptp.set_o_o Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comple5770381748412298549_int_o (tptp.set_int_int_o tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comple4393433247856107946_int_o (tptp.set_int_o tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comple1675732732025788397_nat_o (tptp.set_nat_nat_o tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple2433913294995299363_num_o (tptp.set_nat_num_o tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.comple6214475593288795910_nat_o (tptp.set_nat_o tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple4707286699709038525_int_o (tptp.set_Pr8049984349381595834_int_o tptp.product_prod_int_int) Bool)
% 3.35/4.33  (declare-fun tptp.comple6265855634338933877_nat_o (tptp.set_Pr5582243495563764594_nat_o tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple8183010123678664591_nat_o (tptp.set_Pr7010166363911110284_nat_o tptp.produc3843707927480180839at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple8322679762649017525_nat_o (tptp.set_se9180647916752606350_nat_o tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple5307621999477653941_nat_o (tptp.set_se7255092946006855566_nat_o tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.complete_Inf_Inf_o (tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.complete_Inf_Inf_int (tptp.set_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.complete_Inf_Inf_nat (tptp.set_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comple2584293577114468500t_unit (tptp.set_Product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.comple3063163877087187839_set_o (tptp.set_set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.comple3628384868704368283et_int (tptp.set_set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comple7806235888213564991et_nat (tptp.set_set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comple1626965760690514720nt_int (tptp.set_se6260736226359567993nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.comple1930127330929219688at_nat (tptp.set_se7855581050983116737at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.comple6868718957223342258at_num (tptp.set_se4826145725398303499at_num) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.comple6332534001959699150at_nat (tptp.set_se6425085446898223655at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.comple6751905152567503566at_nat (tptp.set_se5479201105039950375at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.comple4403251139954110286at_nat (tptp.set_se7592288975875140775at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.33  (declare-fun tptp.comple7216939928495492468t_unit (tptp.set_set_Product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.comple4298007329820168263et_rat (tptp.set_set_rat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comple7965528767983648192t_char (tptp.set_set_char) tptp.set_char)
% 3.35/4.33  (declare-fun tptp.complete_Sup_Sup_o_o (tptp.set_o_o Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comple7687260386943045147_int_o (tptp.set_int_int_o tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comple6496622788309502864_int_o (tptp.set_int_o tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comple3592611370556534995_nat_o (tptp.set_nat_nat_o tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple4350791933526045961_num_o (tptp.set_nat_num_o tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.comple8317665133742190828_nat_o (tptp.set_nat_o tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple342879659800731223_int_o (tptp.set_Pr8049984349381595834_int_o tptp.product_prod_int_int) Bool)
% 3.35/4.33  (declare-fun tptp.comple1901448594430626575_nat_o (tptp.set_Pr5582243495563764594_nat_o tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple1177764198577243945_nat_o (tptp.set_Pr7010166363911110284_nat_o tptp.produc3843707927480180839at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple493620192902636699_nat_o (tptp.set_se9180647916752606350_nat_o tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comple4502628867940267931_nat_o (tptp.set_se7255092946006855566_nat_o tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.complete_Sup_Sup_o (tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.complete_Sup_Sup_int (tptp.set_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.complete_Sup_Sup_nat (tptp.set_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comple4687483117567863418t_unit (tptp.set_Product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.comple90263536869209701_set_o (tptp.set_set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.comple6989579708249578522t_unit (tptp.set_se4612898379794543757t_unit) tptp.set_he8644174446132254637t_unit)
% 3.35/4.33  (declare-fun tptp.comple3221217463730067765et_int (tptp.set_set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comple7399068483239264473et_nat (tptp.set_set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comple5382143125604098054nt_int (tptp.set_se6260736226359567993nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.comple5685304695842803022at_nat (tptp.set_se7855581050983116737at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.comple1400524285282149784at_num (tptp.set_se4826145725398303499at_num) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.comple2748534634209756852at_nat (tptp.set_se6425085446898223655at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.comple4364388969068068532at_nat (tptp.set_se5479201105039950375at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.comple7342073961973170484at_nat (tptp.set_se7592288975875140775at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.33  (declare-fun tptp.comple3349607820504768346t_unit (tptp.set_set_Product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.comple3890839924845867745et_rat (tptp.set_set_rat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comple4338141846124676698t_char (tptp.set_set_char) tptp.set_char)
% 3.35/4.33  (declare-fun tptp.condit5488710616941104124bove_o (tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.condit1118808407379112185nteger (tptp.set_Code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.condit2212336002400062152ve_int (tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.condit2214826472909112428ve_nat (tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.condit2080475194861589617t_unit (tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.condit1579696412822616692ve_rat (tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.condit5477540289124974626et_nat (tptp.set_set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.condit5413489452508810728elow_o (tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.condit4933233095834890765nteger (tptp.set_Code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.condit1735850657277959132ow_int (tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.condit1738341127787009408ow_nat (tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.condit9161856309968323677t_unit (tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.condit1103211067700513672ow_rat (tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.condit68592940725977398et_nat (tptp.set_set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.nat_to_rat_surj (tptp.nat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.adjust_div (tptp.product_prod_int_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.divmod_nat (tptp.nat tptp.nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.unique4921790084139445826nteger (tptp.num tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.unique5024387138958732305ep_int (tptp.num tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.unique5026877609467782581ep_nat (tptp.num tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.euclid4774559944035922753ze_int (tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.inverse_inverse_rat (tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.finite_Fpow_int (tptp.set_int) tptp.set_set_int)
% 3.35/4.33  (declare-fun tptp.finite_Fpow_nat (tptp.set_nat) tptp.set_set_nat)
% 3.35/4.33  (declare-fun tptp.finite_Fpow_rat (tptp.set_rat) tptp.set_set_rat)
% 3.35/4.33  (declare-fun tptp.finite_card_int (tptp.set_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.finite_card_nat (tptp.set_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.finite711546835091564841at_nat (tptp.set_Pr1261947904930325089at_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.finite_card_rat (tptp.set_rat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.finite6756937295472016048nteger (tptp.set_Co726186806682698383nteger (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.finite7905178416053733328on_o_o (tptp.set_o (-> Bool Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.finite4703585013658510744_o_nat (tptp.set_o (-> Bool tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite366418920864469932nteger (tptp.set_Code_integer (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.finite5985214029334008090_int_o (tptp.set_int (-> tptp.int Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.finite4582259249640653518nt_nat (tptp.set_int (-> tptp.int tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite7806256374766696054_nat_o (tptp.set_nat (-> tptp.nat Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.finite3582905537739598962at_nat (tptp.set_nat (-> tptp.nat tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite1496024664758132007_nat_o (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.finite2110315540964234241at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite2818816984019561153_nat_o (tptp.set_Pr4329608150637261639at_nat (-> tptp.produc3843707927480180839at_nat Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.finite8619596206551965927at_nat (tptp.set_Pr4329608150637261639at_nat (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite954763878425697269nteger (tptp.set_Co726186806682698383nteger (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.finite2426395113773319005_o_nat (tptp.set_o (-> Bool tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite917065715488314481nteger (tptp.set_Code_integer (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.33  (declare-fun tptp.finite8981753823465611337nt_nat (tptp.set_int (-> tptp.int tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite7982400111564556781at_nat (tptp.set_nat (-> tptp.nat tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite5150387867909132486at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite352855791390415404at_nat (tptp.set_Pr4329608150637261639at_nat (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.finite_finite_o (tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.finite_finite_int (tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.finite8100373058378681591st_nat (tptp.set_list_nat) Bool)
% 3.35/4.33  (declare-fun tptp.finite_finite_nat (tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.finite2998713641127702882nt_int (tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.33  (declare-fun tptp.finite6177210948735845034at_nat (tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.finite4343798906461161616at_nat (tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.finite4290736615968046902t_unit (tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.finite_finite_rat (tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.finite_finite_char (tptp.set_char) Bool)
% 3.35/4.33  (declare-fun tptp.bij_betw_nat_nat ((-> tptp.nat tptp.nat) tptp.set_nat tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_C2822359487432382964nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_C3983183376822107068nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.comp_C8797469213163452608nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.comp_C7826480081638475456nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer) (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_C6484513282182537548nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc101387210554329899nteger) (-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer) tptp.produc101387210554329899nteger)
% 3.35/4.33  (declare-fun tptp.comp_P3928908779438215820nteger ((-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.comp_o_o_o ((-> Bool Bool) (-> Bool Bool) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_o_o_int ((-> Bool Bool) (-> tptp.int Bool) tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comp_o_o_nat ((-> Bool Bool) (-> tptp.nat Bool) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_o_o_num ((-> Bool Bool) (-> tptp.num Bool) tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.comp_o_int_nat ((-> Bool tptp.int) (-> tptp.nat Bool) tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_o_nat_o ((-> Bool tptp.nat) (-> Bool Bool) Bool) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_o_nat_int ((-> Bool tptp.nat) (-> tptp.int Bool) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_o_nat_nat ((-> Bool tptp.nat) (-> tptp.nat Bool) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_o_num_o ((-> Bool tptp.num) (-> Bool Bool) Bool) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_o_num_int ((-> Bool tptp.num) (-> tptp.int Bool) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_o_num_nat ((-> Bool tptp.num) (-> tptp.nat Bool) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_o_num_num ((-> Bool tptp.num) (-> tptp.num Bool) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_o7658611401268416066_o_nat ((-> Bool tptp.product_prod_o_o) (-> tptp.nat Bool) tptp.nat) tptp.product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.comp_o6895741221744486154t_unit ((-> Bool tptp.set_o) (-> tptp.product_unit Bool) tptp.product_unit) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.comp_o_set_int_nat ((-> Bool tptp.set_int) (-> tptp.nat Bool) tptp.nat) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_o1521574261646630388t_unit ((-> Bool tptp.set_int) (-> tptp.product_unit Bool) tptp.product_unit) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_o_set_nat_nat ((-> Bool tptp.set_nat) (-> tptp.nat Bool) tptp.nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_o9190160103024335696t_unit ((-> Bool tptp.set_nat) (-> tptp.product_unit Bool) tptp.product_unit) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_o2254869825208929t_unit ((-> Bool tptp.set_Pr1261947904930325089at_nat) (-> tptp.product_unit Bool) tptp.product_unit) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.comp_o4913564575355137019t_unit ((-> Bool tptp.set_Pr4329608150637261639at_nat) (-> tptp.product_unit Bool) tptp.product_unit) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.comp_o_set_rat_nat ((-> Bool tptp.set_rat) (-> tptp.nat Bool) tptp.nat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_o_char_o ((-> Bool tptp.char) (-> Bool Bool) Bool) tptp.char)
% 3.35/4.33  (declare-fun tptp.comp_C2931745410781319416nteger ((-> tptp.code_integer tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_C1593894019821074884nteger ((-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.comp_C7449957260575251196nteger ((-> tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_C3531382070062128313er_num ((-> tptp.code_integer tptp.code_integer) (-> tptp.num tptp.code_integer) tptp.num) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_C1043215000170864188nteger ((-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.code_integer) tptp.produc8923325533196201883nteger) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_C2177396528461469320um_int ((-> tptp.code_integer tptp.num) (-> tptp.int tptp.code_integer) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_C8580465762518603278nteger ((-> tptp.code_integer tptp.num) (-> tptp.produc2963269191615333738nteger tptp.code_integer) tptp.produc2963269191615333738nteger) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_h4837689053573563144t_unit ((-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit) (-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_h7449592329096033597t_unit ((-> tptp.heap_e7401611519738050253t_unit tptp.int) (-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_h8354993580257045729t_unit ((-> tptp.heap_e7401611519738050253t_unit tptp.nat) (-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_h5940001671827863714t_unit ((-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit) (-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.produc8126358835630522215t_unit)
% 3.35/4.33  (declare-fun tptp.comp_r3604920825623061426t_unit ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit) (-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_r2143332150499412868t_unit ((-> tptp.ref_a tptp.ref_a) (-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.ref_a)
% 3.35/4.33  (declare-fun tptp.comp_r7249815618783853587t_unit ((-> tptp.ref_a tptp.int) (-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_r8155216869944865719t_unit ((-> tptp.ref_a tptp.nat) (-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_r6154141770783548544t_unit ((-> tptp.ref_a tptp.produc5288414631154139675_ref_a) (-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.produc5288414631154139675_ref_a)
% 3.35/4.33  (declare-fun tptp.comp_i653165354545908656at_int ((-> tptp.int tptp.int Bool) (-> tptp.produc4196048018000912732at_int tptp.int) tptp.produc4196048018000912732at_int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comp_i4519014998770822500at_int ((-> tptp.int tptp.int tptp.int) (-> tptp.produc4196048018000912732at_int tptp.int) tptp.produc4196048018000912732at_int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_int_o_o ((-> tptp.int Bool) (-> Bool tptp.int) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_int_o_int ((-> tptp.int Bool) (-> tptp.int tptp.int) tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comp_int_o_nat ((-> tptp.int Bool) (-> tptp.nat tptp.int) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_i1585864551200866970er_int ((-> tptp.int tptp.code_integer) (-> tptp.int tptp.int) tptp.int) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_int_int_o ((-> tptp.int tptp.int) (-> Bool tptp.int) Bool) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_i2224564030725804698nteger ((-> tptp.int tptp.int) (-> tptp.code_integer tptp.int) tptp.code_integer) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_int_int_int ((-> tptp.int tptp.int) (-> tptp.int tptp.int) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_int_int_nat ((-> tptp.int tptp.int) (-> tptp.nat tptp.int) tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_i4330622015127193916nt_int ((-> tptp.int tptp.int) (-> tptp.product_prod_int_int tptp.int) tptp.product_prod_int_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_int_int_rat ((-> tptp.int tptp.int) (-> tptp.rat tptp.int) tptp.rat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_int_int_char ((-> tptp.int tptp.int) (-> tptp.char tptp.int) tptp.char) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_int_nat_o ((-> tptp.int tptp.nat) (-> Bool tptp.int) Bool) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_int_nat_int ((-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_int_nat_nat ((-> tptp.int tptp.nat) (-> tptp.nat tptp.int) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_i1292779930663060120nt_int ((-> tptp.int tptp.nat) (-> tptp.product_prod_int_int tptp.int) tptp.product_prod_int_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_i4471277238271202272at_nat ((-> tptp.int tptp.nat) (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_i5627883460353289149at_int ((-> tptp.int tptp.nat) (-> tptp.produc4196048018000912732at_int tptp.int) tptp.produc4196048018000912732at_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_int_nat_rat ((-> tptp.int tptp.nat) (-> tptp.rat tptp.int) tptp.rat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_int_nat_char ((-> tptp.int tptp.nat) (-> tptp.char tptp.int) tptp.char) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_int_num_int ((-> tptp.int tptp.num) (-> tptp.int tptp.int) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_int_num_nat ((-> tptp.int tptp.num) (-> tptp.nat tptp.int) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_int_num_num ((-> tptp.int tptp.num) (-> tptp.num tptp.int) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_i3846818780818535807nteger ((-> tptp.int tptp.num) (-> tptp.produc2963269191615333738nteger tptp.int) tptp.produc2963269191615333738nteger) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_i7231038107349025742nt_int ((-> tptp.int tptp.num) (-> tptp.product_prod_int_int tptp.int) tptp.product_prod_int_int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_i1186163378102392086at_nat ((-> tptp.int tptp.num) (-> tptp.product_prod_nat_nat tptp.int) tptp.product_prod_nat_nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_i1108739374719436894at_int ((-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.int) tptp.int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_int_rat_nat ((-> tptp.int tptp.rat) (-> tptp.nat tptp.int) tptp.nat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_int_set_nat_int ((-> tptp.int tptp.set_nat) (-> tptp.int tptp.int) tptp.int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_o_o ((-> tptp.nat Bool) (-> Bool tptp.nat) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_nat_o_int ((-> tptp.nat Bool) (-> tptp.int tptp.nat) tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comp_nat_o_nat ((-> tptp.nat Bool) (-> tptp.nat tptp.nat) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_n1662990198670838940at_nat ((-> tptp.nat Bool) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_nat_int_o ((-> tptp.nat tptp.int) (-> Bool tptp.nat) Bool) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_nat_int_int ((-> tptp.nat tptp.int) (-> tptp.int tptp.nat) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_nat_int_nat ((-> tptp.nat tptp.int) (-> tptp.nat tptp.nat) tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_nat_int_num ((-> tptp.nat tptp.int) (-> tptp.num tptp.nat) tptp.num) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_n5749082658982224864at_nat ((-> tptp.nat tptp.int) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_nat_int_rat ((-> tptp.nat tptp.int) (-> tptp.rat tptp.nat) tptp.rat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_nat_int_char ((-> tptp.nat tptp.int) (-> tptp.char tptp.nat) tptp.char) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_nat_nat_o ((-> tptp.nat tptp.nat) (-> Bool tptp.nat) Bool) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_nat_int ((-> tptp.nat tptp.nat) (-> tptp.int tptp.nat) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_nat_nat ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_nat_num ((-> tptp.nat tptp.nat) (-> tptp.num tptp.nat) tptp.num) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_n2711240574518091068at_nat ((-> tptp.nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_nat_rat ((-> tptp.nat tptp.nat) (-> tptp.rat tptp.nat) tptp.rat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_nat_char ((-> tptp.nat tptp.nat) (-> tptp.char tptp.nat) tptp.char) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_n2103536230552569900nteger ((-> tptp.nat tptp.num) (-> tptp.code_integer tptp.nat) tptp.code_integer) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_nat_num_int ((-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_nat_num_nat ((-> tptp.nat tptp.num) (-> tptp.nat tptp.nat) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_nat_num_num ((-> tptp.nat tptp.num) (-> tptp.num tptp.nat) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_n8649498751204056690at_nat ((-> tptp.nat tptp.num) (-> tptp.product_prod_nat_nat tptp.nat) tptp.product_prod_nat_nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_n8574565218330151774at_nat ((-> tptp.nat tptp.product_prod_nat_nat) (-> tptp.nat tptp.nat) tptp.nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_n8531277669757933902um_int ((-> tptp.nat tptp.product_prod_num_num) (-> tptp.int tptp.nat) tptp.int) tptp.product_prod_num_num)
% 3.35/4.33  (declare-fun tptp.comp_nat_rat_int ((-> tptp.nat tptp.rat) (-> tptp.int tptp.nat) tptp.int) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_nat_rat_nat ((-> tptp.nat tptp.rat) (-> tptp.nat tptp.nat) tptp.nat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_nat_rat_rat ((-> tptp.nat tptp.rat) (-> tptp.rat tptp.nat) tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_nat_rat_char ((-> tptp.nat tptp.rat) (-> tptp.char tptp.nat) tptp.char) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_nat_set_nat_int ((-> tptp.nat tptp.set_nat) (-> tptp.int tptp.nat) tptp.int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_set_nat_nat ((-> tptp.nat tptp.set_nat) (-> tptp.nat tptp.nat) tptp.nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_nat_set_rat_int ((-> tptp.nat tptp.set_rat) (-> tptp.int tptp.nat) tptp.int) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_nat_set_rat_nat ((-> tptp.nat tptp.set_rat) (-> tptp.nat tptp.nat) tptp.nat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_nat_char_char ((-> tptp.nat tptp.char) (-> tptp.char tptp.nat) tptp.char) tptp.char)
% 3.35/4.33  (declare-fun tptp.comp_num_o_o ((-> tptp.num Bool) (-> Bool tptp.num) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_num_o_int ((-> tptp.num Bool) (-> tptp.int tptp.num) tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.comp_num_o_nat ((-> tptp.num Bool) (-> tptp.nat tptp.num) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_num_o_num ((-> tptp.num Bool) (-> tptp.num tptp.num) tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.comp_num_nat_int ((-> tptp.num tptp.nat) (-> tptp.int tptp.num) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_num_nat_nat ((-> tptp.num tptp.nat) (-> tptp.nat tptp.num) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_num_nat_num ((-> tptp.num tptp.nat) (-> tptp.num tptp.num) tptp.num) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_num_num_o ((-> tptp.num tptp.num) (-> Bool tptp.num) Bool) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_n8557746072492896886nteger ((-> tptp.num tptp.num) (-> tptp.code_integer tptp.num) tptp.code_integer) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_num_num_int ((-> tptp.num tptp.num) (-> tptp.int tptp.num) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_num_num_nat ((-> tptp.num tptp.num) (-> tptp.nat tptp.num) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_num_num_num ((-> tptp.num tptp.num) (-> tptp.num tptp.num) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_num_set_int_int ((-> tptp.num tptp.set_int) (-> tptp.int tptp.num) tptp.int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_num_set_nat_int ((-> tptp.num tptp.set_nat) (-> tptp.int tptp.num) tptp.int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_num_set_rat_int ((-> tptp.num tptp.set_rat) (-> tptp.int tptp.num) tptp.int) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_P8564252314792299288nteger ((-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger) (-> tptp.code_integer tptp.produc723880050079548563nteger) tptp.code_integer) tptp.produc101387210554329899nteger)
% 3.35/4.33  (declare-fun tptp.comp_P2137996956111167876_o_o_o ((-> tptp.product_prod_o_o Bool) (-> Bool tptp.product_prod_o_o) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_P551574746845053877_o_o_o ((-> tptp.product_prod_o_o tptp.product_prod_o_o) (-> Bool tptp.product_prod_o_o) Bool) tptp.product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.comp_P7034811116587396339_o_nat ((-> tptp.product_prod_o_o tptp.product_prod_o_o) (-> tptp.nat tptp.product_prod_o_o) tptp.nat) tptp.product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.comp_P4785046977597218846at_nat ((-> tptp.product_prod_o_o tptp.product_prod_o_o) (-> tptp.product_prod_nat_nat tptp.product_prod_o_o) tptp.product_prod_nat_nat) tptp.product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.comp_P1471321874221585045at_o_o ((-> tptp.product_prod_o_o tptp.product_prod_nat_o) (-> Bool tptp.product_prod_o_o) Bool) tptp.product_prod_nat_o)
% 3.35/4.33  (declare-fun tptp.comp_P465755969289462830at_int ((-> tptp.product_prod_o_int tptp.product_prod_o_nat) (-> tptp.product_prod_nat_int tptp.product_prod_o_int) tptp.product_prod_nat_int) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.comp_P1422407636550552773_nat_o ((-> tptp.product_prod_o_nat tptp.product_prod_o_nat) (-> Bool tptp.product_prod_o_nat) Bool) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.comp_P1391661485614827491at_nat ((-> tptp.product_prod_o_nat tptp.product_prod_o_nat) (-> tptp.nat tptp.product_prod_o_nat) tptp.nat) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.comp_P4962864564169660718at_nat ((-> tptp.product_prod_o_nat tptp.product_prod_o_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_o_nat) tptp.product_prod_nat_nat) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.comp_P9057111047297513408at_int ((-> tptp.product_prod_o_nat tptp.product_prod_o_num) (-> tptp.product_prod_nat_int tptp.product_prod_o_nat) tptp.product_prod_nat_int) tptp.product_prod_o_num)
% 3.35/4.33  (declare-fun tptp.comp_P196761593691424337_nat_o ((-> tptp.product_prod_o_nat tptp.product_prod_nat_nat) (-> Bool tptp.product_prod_o_nat) Bool) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P972951341003599239_nat_o ((-> tptp.product_prod_o_nat tptp.product_prod_num_nat) (-> Bool tptp.product_prod_o_nat) Bool) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.comp_P3428181540658402820nteger ((-> tptp.produc8923325533196201883nteger tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.comp_P8237986404257982958t_unit ((-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit) (-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit) tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_P3239167524078694454t_unit ((-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit) (-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a) tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_P1287623958910499840t_unit ((-> tptp.produc1799199577659733785_ref_a tptp.ref_a) (-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a) tptp.produc7812382424243267045t_unit) tptp.ref_a)
% 3.35/4.33  (declare-fun tptp.comp_P2006160480335490974_ref_a ((-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) (-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit) tptp.produc1799199577659733785_ref_a) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_P8019343326919024234t_unit ((-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) (-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_P6390991081591698364at_nat ((-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) (-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit) tptp.product_prod_nat_nat) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.33  (declare-fun tptp.comp_P7254561687666694144_ref_a ((-> tptp.produc7812382424243267045t_unit tptp.ref_a) (-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit) tptp.produc1799199577659733785_ref_a) tptp.ref_a)
% 3.35/4.33  (declare-fun tptp.comp_P4044372497395451596t_unit ((-> tptp.produc7812382424243267045t_unit tptp.ref_a) (-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit) tptp.ref_a)
% 3.35/4.33  (declare-fun tptp.comp_P7986581389989349338at_nat ((-> tptp.produc7812382424243267045t_unit tptp.ref_a) (-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit) tptp.product_prod_nat_nat) tptp.ref_a)
% 3.35/4.33  (declare-fun tptp.comp_P9134237804721252988t_unit ((-> tptp.produc5288414631154139675_ref_a tptp.ref_a) (-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a) tptp.produc7812382424243267045t_unit) tptp.ref_a)
% 3.35/4.33  (declare-fun tptp.comp_P9034173210191959223nt_int ((-> tptp.product_prod_int_int Bool) (-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.product_prod_int_int) Bool)
% 3.35/4.33  (declare-fun tptp.comp_P6651465171681656048nt_int ((-> tptp.product_prod_int_int tptp.int) (-> tptp.int tptp.product_prod_int_int) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_P6653955642190706324nt_nat ((-> tptp.product_prod_int_int tptp.int) (-> tptp.nat tptp.product_prod_int_int) tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_P5356232565778667509nt_int ((-> tptp.product_prod_int_int tptp.int) (-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.product_prod_int_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_P6018825582104210588nt_rat ((-> tptp.product_prod_int_int tptp.int) (-> tptp.rat tptp.product_prod_int_int) tptp.rat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_P4161745170962941589t_char ((-> tptp.product_prod_int_int tptp.int) (-> tptp.char tptp.product_prod_int_int) tptp.char) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_P2318390481314533713nt_int ((-> tptp.product_prod_int_int tptp.nat) (-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.product_prod_int_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P2788356708182965334nt_int ((-> tptp.product_prod_int_int tptp.product_prod_int_int) (-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.comp_P2134349925370910487at_int ((-> tptp.product_prod_int_int tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_int_int) tptp.int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P3488689526429045841nt_nat ((-> tptp.product_prod_int_nat tptp.nat) (-> tptp.product_prod_int_nat tptp.product_prod_int_nat) tptp.product_prod_int_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P1145193044942399421um_int ((-> tptp.product_prod_int_nat tptp.product_prod_nat_num) (-> tptp.int tptp.product_prod_int_nat) tptp.int) tptp.product_prod_nat_num)
% 3.35/4.33  (declare-fun tptp.comp_P5799945282029801519_o_nat ((-> tptp.product_prod_nat_o tptp.product_prod_nat_o) (-> tptp.nat tptp.product_prod_nat_o) tptp.nat) tptp.product_prod_nat_o)
% 3.35/4.33  (declare-fun tptp.comp_P8901546994122883554at_nat ((-> tptp.product_prod_nat_o tptp.product_prod_nat_o) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_o) tptp.product_prod_nat_nat) tptp.product_prod_nat_o)
% 3.35/4.33  (declare-fun tptp.comp_P6576135029341976421_o_nat ((-> tptp.product_prod_nat_o tptp.product_prod_num_o) (-> tptp.nat tptp.product_prod_nat_o) tptp.nat) tptp.product_prod_num_o)
% 3.35/4.33  (declare-fun tptp.comp_P5807473265676440968nt_nat ((-> tptp.product_prod_nat_o tptp.product_prod_num_o) (-> tptp.product_prod_int_nat tptp.product_prod_nat_o) tptp.product_prod_int_nat) tptp.product_prod_num_o)
% 3.35/4.33  (declare-fun tptp.comp_P397146161216181329at_int ((-> tptp.product_prod_nat_int tptp.nat) (-> tptp.product_prod_nat_int tptp.product_prod_nat_int) tptp.product_prod_nat_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P8376639181999047357at_int ((-> tptp.product_prod_nat_int tptp.product_prod_num_nat) (-> tptp.int tptp.product_prod_nat_int) tptp.int) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.comp_P3772045228931366376nt_int ((-> tptp.product_prod_nat_int tptp.product_prod_num_nat) (-> tptp.product_prod_int_int tptp.product_prod_nat_int) tptp.product_prod_int_int) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.comp_P2002127591014248037at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_P7900071416159368952at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat) tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_P3913276677246710332at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P4524073163769703009at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat) tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P4605287290794827253at_nat ((-> tptp.product_prod_nat_nat tptp.int) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_P1953119740877977564at_int ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.product_prod_nat_nat) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P5292260908303971472st_nat ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.list_nat tptp.product_prod_nat_nat) tptp.list_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P1955610211387027840at_nat ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.nat tptp.product_prod_nat_nat) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P1567445206330693457at_nat ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P8635049891247748876at_int ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat) tptp.produc4196048018000912732at_int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P1320480151300532104at_rat ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.rat tptp.product_prod_nat_nat) tptp.rat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P1491501995297412481t_char ((-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.char tptp.product_prod_nat_nat) tptp.char) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P7428279379633703887at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) tptp.int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P7430769850142754163at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.nat tptp.product_prod_nat_nat) tptp.nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P6334688330072917552at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_num) (-> tptp.product_prod_nat_int tptp.product_prod_nat_nat) tptp.product_prod_nat_int) tptp.product_prod_nat_num)
% 3.35/4.33  (declare-fun tptp.comp_P5371577678113413053at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_num_nat) (-> tptp.nat tptp.product_prod_nat_nat) tptp.nat) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.comp_P5124699952429557552nt_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_num_nat) (-> tptp.product_prod_int_nat tptp.product_prod_nat_nat) tptp.product_prod_int_nat) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.comp_P7387482301570536291um_int ((-> tptp.product_prod_nat_nat tptp.product_prod_num_num) (-> tptp.int tptp.product_prod_nat_nat) tptp.int) tptp.product_prod_num_num)
% 3.35/4.33  (declare-fun tptp.comp_P9218946435557410242nt_int ((-> tptp.product_prod_nat_nat tptp.product_prod_num_num) (-> tptp.product_prod_int_int tptp.product_prod_nat_nat) tptp.product_prod_int_int) tptp.product_prod_num_num)
% 3.35/4.33  (declare-fun tptp.comp_P8336958949797789649um_nat ((-> tptp.product_prod_nat_num tptp.nat) (-> tptp.product_prod_num_nat tptp.product_prod_nat_num) tptp.product_prod_num_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_P5051845089628979463um_nat ((-> tptp.product_prod_nat_num tptp.num) (-> tptp.product_prod_num_nat tptp.product_prod_nat_num) tptp.product_prod_num_nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_P3192427084145116251at_num ((-> tptp.product_prod_num_nat tptp.product_prod_o_nat) (-> tptp.num tptp.product_prod_num_nat) tptp.num) tptp.product_prod_o_nat)
% 3.35/4.33  (declare-fun tptp.comp_P2539519431309506803at_num ((-> tptp.product_prod_num_nat tptp.product_prod_nat_nat) (-> tptp.num tptp.product_prod_num_nat) tptp.num) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.comp_P480327259280165693at_num ((-> tptp.product_prod_num_nat tptp.product_prod_num_nat) (-> tptp.num tptp.product_prod_num_nat) tptp.num) tptp.product_prod_num_nat)
% 3.35/4.33  (declare-fun tptp.comp_P4305060815297604026um_int ((-> tptp.product_prod_num_num tptp.num) (-> tptp.int tptp.product_prod_num_num) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_P864883071962432936um_num ((-> tptp.product_prod_num_num tptp.num) (-> tptp.num tptp.product_prod_num_num) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_P4974406650942564362at_nat ((-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat) (-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.comp_P4528037747288561284at_nat ((-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat) (-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.comp_P3728553842126764068at_nat ((-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat) (-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.comp_P8235817900121468292at_nat ((-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat) (-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.comp_P5156358013004227690it_o_o ((-> tptp.product_unit Bool) (-> Bool tptp.product_unit) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_P4985893458130756478_o_nat ((-> tptp.product_unit Bool) (-> tptp.nat tptp.product_unit) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_rat_o_o ((-> tptp.rat Bool) (-> Bool tptp.rat) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_rat_o_nat ((-> tptp.rat Bool) (-> tptp.nat tptp.rat) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.comp_rat_int_int ((-> tptp.rat tptp.int) (-> tptp.int tptp.rat) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_rat_int_nat ((-> tptp.rat tptp.int) (-> tptp.nat tptp.rat) tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_rat_int_char ((-> tptp.rat tptp.int) (-> tptp.char tptp.rat) tptp.char) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_rat_nat_o ((-> tptp.rat tptp.nat) (-> Bool tptp.rat) Bool) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_rat_nat_int ((-> tptp.rat tptp.nat) (-> tptp.int tptp.rat) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_rat_nat_nat ((-> tptp.rat tptp.nat) (-> tptp.nat tptp.rat) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_rat_nat_rat ((-> tptp.rat tptp.nat) (-> tptp.rat tptp.rat) tptp.rat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_rat_nat_char ((-> tptp.rat tptp.nat) (-> tptp.char tptp.rat) tptp.char) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_rat_num_nat ((-> tptp.rat tptp.num) (-> tptp.nat tptp.rat) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_rat_num_num ((-> tptp.rat tptp.num) (-> tptp.num tptp.rat) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_rat_rat_nat ((-> tptp.rat tptp.rat) (-> tptp.nat tptp.rat) tptp.nat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_rat_rat_char ((-> tptp.rat tptp.rat) (-> tptp.char tptp.rat) tptp.char) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_rat_char_char ((-> tptp.rat tptp.char) (-> tptp.char tptp.rat) tptp.char) tptp.char)
% 3.35/4.33  (declare-fun tptp.comp_s4786119426940707554nteger ((-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer) (-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger) tptp.set_Pr4111642102156807771nteger) tptp.set_Code_integer)
% 3.35/4.33  (declare-fun tptp.comp_s9189197539837705563_set_o ((-> tptp.set_o tptp.set_nat) (-> tptp.set_o tptp.set_o) tptp.set_o) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s7717450105097109807et_nat ((-> tptp.set_int tptp.set_int) (-> tptp.set_nat tptp.set_int) tptp.set_nat) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s2487324123861929025et_int ((-> tptp.set_int tptp.set_int) (-> tptp.set_set_int tptp.set_int) tptp.set_set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s5712175470073906149et_int ((-> tptp.set_int tptp.set_nat) (-> tptp.set_set_int tptp.set_int) tptp.set_set_int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s7011316712748663051_int_o ((-> tptp.set_nat tptp.set_int) (-> Bool tptp.set_nat) Bool) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s5617672292595496825nt_int ((-> tptp.set_nat tptp.set_int) (-> tptp.int tptp.set_nat) tptp.int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s5620162763104547101nt_nat ((-> tptp.set_nat tptp.set_int) (-> tptp.nat tptp.set_nat) tptp.nat) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s6458263553158497821et_num ((-> tptp.set_nat tptp.set_int) (-> tptp.set_num tptp.set_nat) tptp.set_num) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s3768223441818958217et_nat ((-> tptp.set_nat tptp.set_int) (-> tptp.set_set_nat tptp.set_nat) tptp.set_set_nat) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s33089643564333159_nat_o ((-> tptp.set_nat tptp.set_nat) (-> Bool tptp.set_nat) Bool) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s3430750717902475037at_int ((-> tptp.set_nat tptp.set_nat) (-> tptp.int tptp.set_nat) tptp.int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s3433241188411525313at_nat ((-> tptp.set_nat tptp.set_nat) (-> tptp.nat tptp.set_nat) tptp.nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s8964582002068861047et_nat ((-> tptp.set_nat tptp.set_nat) (-> tptp.set_nat tptp.set_nat) tptp.set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s6993074788030935341et_nat ((-> tptp.set_nat tptp.set_nat) (-> tptp.set_set_nat tptp.set_nat) tptp.set_set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s8507027185284273247_rat_o ((-> tptp.set_nat tptp.set_rat) (-> Bool tptp.set_nat) Bool) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_s8253438564248248613at_int ((-> tptp.set_nat tptp.set_rat) (-> tptp.int tptp.set_nat) tptp.int) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_s8255929034757298889at_nat ((-> tptp.set_nat tptp.set_rat) (-> tptp.nat tptp.set_nat) tptp.nat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_s6435139744279249717et_nat ((-> tptp.set_nat tptp.set_rat) (-> tptp.set_set_nat tptp.set_nat) tptp.set_set_nat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_s7355055891894327172at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat) tptp.produc3843707927480180839at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.comp_s8709038167382007543et_int ((-> tptp.set_set_int tptp.set_int) (-> tptp.set_set_int tptp.set_set_int) tptp.set_set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s1975749275458958491et_nat ((-> tptp.set_set_int tptp.set_int) (-> tptp.set_set_nat tptp.set_set_int) tptp.set_set_nat) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_s6907669228194913343et_int ((-> tptp.set_set_nat tptp.set_nat) (-> tptp.set_set_int tptp.set_set_nat) tptp.set_set_int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s174380336271864291et_nat ((-> tptp.set_set_nat tptp.set_nat) (-> tptp.set_set_nat tptp.set_set_nat) tptp.set_set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_s703482200030188019et_nat ((-> tptp.set_set_rat tptp.set_rat) (-> tptp.set_set_nat tptp.set_set_rat) tptp.set_set_nat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_char_o_o ((-> tptp.char Bool) (-> Bool tptp.char) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.comp_char_o_char ((-> tptp.char Bool) (-> tptp.char tptp.char) tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.comp_char_int_char ((-> tptp.char tptp.int) (-> tptp.char tptp.char) tptp.char) tptp.int)
% 3.35/4.33  (declare-fun tptp.comp_char_nat_int ((-> tptp.char tptp.nat) (-> tptp.int tptp.char) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_char_nat_nat ((-> tptp.char tptp.nat) (-> tptp.nat tptp.char) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_char_nat_char ((-> tptp.char tptp.nat) (-> tptp.char tptp.char) tptp.char) tptp.nat)
% 3.35/4.33  (declare-fun tptp.comp_char_num_nat ((-> tptp.char tptp.num) (-> tptp.nat tptp.char) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_char_num_num ((-> tptp.char tptp.num) (-> tptp.num tptp.char) tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_char_num_char ((-> tptp.char tptp.num) (-> tptp.char tptp.char) tptp.char) tptp.num)
% 3.35/4.33  (declare-fun tptp.comp_char_rat_char ((-> tptp.char tptp.rat) (-> tptp.char tptp.char) tptp.char) tptp.rat)
% 3.35/4.33  (declare-fun tptp.comp_char_set_int_o ((-> tptp.char tptp.set_int) (-> Bool tptp.char) Bool) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_c3102392033783471720nt_nat ((-> tptp.char tptp.set_int) (-> tptp.nat tptp.char) tptp.nat) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_c8883095856794026162nt_num ((-> tptp.char tptp.set_int) (-> tptp.num tptp.char) tptp.num) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.comp_char_set_nat_o ((-> tptp.char tptp.set_nat) (-> Bool tptp.char) Bool) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_c912979988581399656at_int ((-> tptp.char tptp.set_nat) (-> tptp.int tptp.char) tptp.int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_c915470459090449932at_nat ((-> tptp.char tptp.set_nat) (-> tptp.nat tptp.char) tptp.nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_c6696174282101004374at_num ((-> tptp.char tptp.set_nat) (-> tptp.num tptp.char) tptp.num) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.comp_char_set_rat_o ((-> tptp.char tptp.set_rat) (-> Bool tptp.char) Bool) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_c5735667834927173232at_int ((-> tptp.char tptp.set_rat) (-> tptp.int tptp.char) tptp.int) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_c5738158305436223508at_nat ((-> tptp.char tptp.set_rat) (-> tptp.nat tptp.char) tptp.nat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_c2295490091592002142at_num ((-> tptp.char tptp.set_rat) (-> tptp.num tptp.char) tptp.num) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.comp_char_char_char ((-> tptp.char tptp.char) (-> tptp.char tptp.char) tptp.char) tptp.char)
% 3.35/4.33  (declare-fun tptp.fun_upd_o_o ((-> Bool Bool) Bool Bool Bool) Bool)
% 3.35/4.33  (declare-fun tptp.fun_upd_o_nat ((-> Bool tptp.nat) Bool tptp.nat Bool) tptp.nat)
% 3.35/4.33  (declare-fun tptp.fun_up846054379331416818t_unit ((-> Bool tptp.product_unit) Bool tptp.product_unit Bool) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.fun_upd_o_set_o ((-> Bool tptp.set_o) Bool tptp.set_o Bool) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.fun_up4718931970374059986t_unit ((-> Bool tptp.set_Product_unit) Bool tptp.set_Product_unit Bool) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.fun_up8056716234270145717nteger ((-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.fun_up8139772397987072257nteger ((-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.fun_upd_int_o ((-> tptp.int Bool) tptp.int Bool tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.fun_upd_int_int ((-> tptp.int tptp.int) tptp.int tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.fun_upd_int_nat ((-> tptp.int tptp.nat) tptp.int tptp.nat tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.fun_upd_int_num ((-> tptp.int tptp.num) tptp.int tptp.num tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.fun_up2220634978854545698t_unit ((-> tptp.int tptp.product_unit) tptp.int tptp.product_unit tptp.int) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.fun_upd_int_set_o ((-> tptp.int tptp.set_o) tptp.int tptp.set_o tptp.int) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.fun_upd_int_set_nat ((-> tptp.int tptp.set_nat) tptp.int tptp.set_nat tptp.int) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.fun_up5054257004045450754t_unit ((-> tptp.int tptp.set_Product_unit) tptp.int tptp.set_Product_unit tptp.int) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.fun_upd_nat_o ((-> tptp.nat Bool) tptp.nat Bool tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.fun_upd_nat_int ((-> tptp.nat tptp.int) tptp.nat tptp.int tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.fun_upd_nat_nat ((-> tptp.nat tptp.nat) tptp.nat tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.fun_upd_nat_rat ((-> tptp.nat tptp.rat) tptp.nat tptp.rat tptp.nat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.fun_upd_nat_set_o ((-> tptp.nat tptp.set_o) tptp.nat tptp.set_o tptp.nat) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.fun_up1220017903161424222t_unit ((-> tptp.nat tptp.set_Product_unit) tptp.nat tptp.set_Product_unit tptp.nat) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.fun_up5432024876597553480unit_o ((-> tptp.product_unit Bool) tptp.product_unit Bool tptp.product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.fun_up6473050886840373792it_nat ((-> tptp.product_unit tptp.nat) tptp.product_unit tptp.nat tptp.product_unit) tptp.nat)
% 3.35/4.33  (declare-fun tptp.fun_up6875000483049295805t_unit ((-> tptp.product_unit tptp.product_unit) tptp.product_unit tptp.product_unit tptp.product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.fun_up1762901246852280360_set_o ((-> tptp.product_unit tptp.set_o) tptp.product_unit tptp.set_o tptp.product_unit) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.fun_up4569834200710200790et_nat ((-> tptp.product_unit tptp.set_nat) tptp.product_unit tptp.set_nat tptp.product_unit) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.fun_up488859312337516701t_unit ((-> tptp.product_unit tptp.set_Product_unit) tptp.product_unit tptp.set_Product_unit tptp.product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.id_nat_o ((-> tptp.nat Bool) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.id_nat_nat ((-> tptp.nat tptp.nat) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.id_Pro496765588584934260nteger ((-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.id_o (Bool) Bool)
% 3.35/4.33  (declare-fun tptp.id_Code_integer (tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.id_int (tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.id_list_nat (tptp.list_nat) tptp.list_nat)
% 3.35/4.33  (declare-fun tptp.id_nat (tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.id_num (tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.id_Pro2309048762231606924nteger (tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.id_Pro4381231610383771306nt_int (tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.id_Pro7559728917991913458at_nat (tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.id_Pro8267972854940751164at_num (tptp.product_prod_nat_num) tptp.product_prod_nat_num)
% 3.35/4.33  (declare-fun tptp.id_Pro8722402698821300696at_nat (tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.33  (declare-fun tptp.id_Pro6043886709289754456at_nat (tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.33  (declare-fun tptp.id_Product_unit (tptp.product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.id_rat (tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.id_set_o (tptp.set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.id_set_int (tptp.set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.id_set_nat (tptp.set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.id_set_num (tptp.set_num) tptp.set_num)
% 3.35/4.33  (declare-fun tptp.id_set2334057505560298834at_nat (tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.id_set7849613212452405432at_nat (tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.id_char (tptp.char) tptp.char)
% 3.35/4.33  (declare-fun tptp.inj_on5500977043710295017nteger ((-> (-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.set_Co4375521073081744395nteger) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on3998011822705705585nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.set_Co726186806682698383nteger) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on856898432580761861nt_nat ((-> (-> tptp.int tptp.int) tptp.int tptp.nat) tptp.set_int_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on7039184780174133295nt_int ((-> (-> tptp.int tptp.int) tptp.set_Pr958786334691620121nt_int) tptp.set_int_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on5377432224680912883nt_num ((-> (-> tptp.int tptp.nat) tptp.int tptp.num) tptp.set_int_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_o_nat_o ((-> (-> tptp.nat Bool) tptp.nat Bool) tptp.set_nat_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on2461717442902640625at_nat ((-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) tptp.set_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on3412903767820855855at_nat ((-> (-> tptp.nat tptp.nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_o_o ((-> Bool Bool) tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_o_int ((-> Bool tptp.int) tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_o_nat ((-> Bool tptp.nat) tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on4268752236855399398t_unit ((-> Bool tptp.product_unit) tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_o_rat ((-> Bool tptp.rat) tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_o_char ((-> Bool tptp.char) tptp.set_o) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on108595395805848489nteger ((-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.set_Code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on7031512951821619701nteger ((-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.set_Code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1158064722259180589nteger ((-> tptp.code_integer tptp.code_integer) tptp.set_Code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_int_o ((-> tptp.int Bool) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_int_int ((-> tptp.int tptp.int) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_int_nat ((-> tptp.int tptp.nat) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_int_num ((-> tptp.int tptp.num) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on5397397550511676250nt_int ((-> tptp.int tptp.product_prod_int_int) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8575894858119818402at_nat ((-> tptp.int tptp.product_prod_nat_nat) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on4178023183795006766t_unit ((-> tptp.int tptp.product_unit) tptp.set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on3049792774292151987st_nat ((-> tptp.list_nat tptp.list_nat) tptp.set_list_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on7574789179980466158at_nat ((-> tptp.list_nat tptp.product_prod_nat_nat) tptp.set_list_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_o ((-> tptp.nat Bool) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_int ((-> tptp.nat tptp.int) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_nat ((-> tptp.nat tptp.nat) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_num ((-> tptp.nat tptp.num) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on5538052773655684606at_nat ((-> tptp.nat tptp.product_prod_nat_nat) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on6246296710604522312at_num ((-> tptp.nat tptp.product_prod_nat_num) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on7061601236592826506t_unit ((-> tptp.nat tptp.product_unit) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_rat ((-> tptp.nat tptp.rat) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_nat_char ((-> tptp.nat tptp.char) tptp.set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_num_o ((-> tptp.num Bool) tptp.set_num) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_num_int ((-> tptp.num tptp.int) tptp.set_num) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_num_nat ((-> tptp.num tptp.nat) tptp.set_num) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on20428373856169009nteger ((-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.set_Pr4811707699266497531nteger) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on6454360653267994289nt_int ((-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on2178005380612969504at_nat ((-> tptp.product_prod_nat_nat tptp.nat) tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8969904277767023793at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on2339680571444523825at_num ((-> tptp.product_prod_num_nat tptp.product_prod_nat_num) tptp.set_Pr3280342998896498603um_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on991952103320416098_nat_o ((-> tptp.produc859450856879609959at_nat Bool) tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on490725545064285830at_nat ((-> tptp.produc859450856879609959at_nat tptp.nat) tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on229527429751349963at_nat ((-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat) tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1041401102088758999t_unit ((-> tptp.produc859450856879609959at_nat tptp.product_unit) tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8430303779476321073at_nat ((-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat) tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on3108384905993948887t_unit ((-> tptp.produc3843707927480180839at_nat tptp.product_unit) tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on3942866938762682161at_nat ((-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat) tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8854722734121536060unit_o ((-> tptp.product_unit Bool) tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8427948621271784584it_int ((-> tptp.product_unit tptp.int) tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8430439091780834860it_nat ((-> tptp.product_unit tptp.nat) tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8151373323710067377t_unit ((-> tptp.product_unit tptp.product_unit) tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on7795309031694339124it_rat ((-> tptp.product_unit tptp.rat) tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1959294024837303853t_char ((-> tptp.product_unit tptp.char) tptp.set_Product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_rat_o ((-> tptp.rat Bool) tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_rat_int ((-> tptp.rat tptp.int) tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_rat_nat ((-> tptp.rat tptp.nat) tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on8867882244352206326at_nat ((-> tptp.rat tptp.product_prod_nat_nat) tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_rat_rat ((-> tptp.rat tptp.rat) tptp.set_rat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on6435365835345961783et_int ((-> tptp.set_int tptp.set_int) tptp.set_set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1389844818000382683et_nat ((-> tptp.set_int tptp.set_nat) tptp.set_set_int) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on426556184350386907et_int ((-> tptp.set_nat tptp.set_int) tptp.set_set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on4604407203859583615et_nat ((-> tptp.set_nat tptp.set_nat) tptp.set_set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1096178645466186887et_rat ((-> tptp.set_nat tptp.set_rat) tptp.set_set_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on699426629415580343at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat) tptp.set_se7855581050983116737at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1468925692805905105at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat) tptp.set_se5479201105039950375at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_char_o ((-> tptp.char Bool) tptp.set_char) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_char_int ((-> tptp.char tptp.int) tptp.set_char) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_char_nat ((-> tptp.char tptp.nat) tptp.set_char) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on1021528964648911549at_nat ((-> tptp.char tptp.product_prod_nat_nat) tptp.set_char) Bool)
% 3.35/4.33  (declare-fun tptp.inj_on_char_char ((-> tptp.char tptp.char) tptp.set_char) Bool)
% 3.35/4.33  (declare-fun tptp.map_fu1227494855608507351um_num ((-> tptp.code_integer tptp.int) (-> tptp.num tptp.num) (-> tptp.int tptp.num) tptp.code_integer) tptp.num)
% 3.35/4.33  (declare-fun tptp.map_fu434086159418415080_int_o ((-> tptp.int tptp.product_prod_nat_nat) (-> (-> tptp.product_prod_nat_nat Bool) tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.map_fu4960017516451851995nt_int ((-> tptp.int tptp.product_prod_nat_nat) (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.int tptp.int) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.map_fu4826362097070443709at_o_o ((-> tptp.int tptp.product_prod_nat_nat) (-> Bool Bool) (-> tptp.product_prod_nat_nat Bool) tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.map_fu2345160673673942751at_nat ((-> tptp.int tptp.product_prod_nat_nat) (-> tptp.nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.nat) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.map_fu3667384564859982768at_int ((-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.the_inv_into_o_o (tptp.set_o (-> Bool Bool) Bool) Bool)
% 3.35/4.33  (declare-fun tptp.the_inv_into_o_int (tptp.set_o (-> Bool tptp.int) tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.the_inv_into_o_nat (tptp.set_o (-> Bool tptp.nat) tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.the_inv_into_o_rat (tptp.set_o (-> Bool tptp.rat) tptp.rat) Bool)
% 3.35/4.33  (declare-fun tptp.the_inv_into_o_char (tptp.set_o (-> Bool tptp.char) tptp.char) Bool)
% 3.35/4.33  (declare-fun tptp.the_inv_into_int_o (tptp.set_int (-> tptp.int Bool) Bool) tptp.int)
% 3.35/4.33  (declare-fun tptp.the_inv_into_int_int (tptp.set_int (-> tptp.int tptp.int) tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.the_inv_into_int_nat (tptp.set_int (-> tptp.int tptp.nat) tptp.nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.the_inv_into_int_num (tptp.set_int (-> tptp.int tptp.num) tptp.num) tptp.int)
% 3.35/4.33  (declare-fun tptp.the_inv_into_int_rat (tptp.set_int (-> tptp.int tptp.rat) tptp.rat) tptp.int)
% 3.35/4.33  (declare-fun tptp.the_inv_into_nat_o (tptp.set_nat (-> tptp.nat Bool) Bool) tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_inv_into_nat_int (tptp.set_nat (-> tptp.nat tptp.int) tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_inv_into_nat_nat (tptp.set_nat (-> tptp.nat tptp.nat) tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_inv_into_nat_num (tptp.set_nat (-> tptp.nat tptp.num) tptp.num) tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_inv_into_nat_rat (tptp.set_nat (-> tptp.nat tptp.rat) tptp.rat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_in9023905271258939222t_char (tptp.set_nat (-> tptp.nat tptp.char) tptp.char) tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_inv_into_num_o (tptp.set_num (-> tptp.num Bool) Bool) tptp.num)
% 3.35/4.33  (declare-fun tptp.the_inv_into_num_int (tptp.set_num (-> tptp.num tptp.int) tptp.int) tptp.num)
% 3.35/4.33  (declare-fun tptp.the_inv_into_num_nat (tptp.set_num (-> tptp.num tptp.nat) tptp.nat) tptp.num)
% 3.35/4.33  (declare-fun tptp.the_in43325605794470270unit_o (tptp.set_Product_unit (-> tptp.product_unit Bool) Bool) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.the_in3915408195775746418it_rat (tptp.set_Product_unit (-> tptp.product_unit tptp.rat) tptp.rat) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.the_in3194898024646563179t_char (tptp.set_Product_unit (-> tptp.product_unit tptp.char) tptp.char) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.the_inv_into_rat_o (tptp.set_rat (-> tptp.rat Bool) Bool) tptp.rat)
% 3.35/4.33  (declare-fun tptp.the_inv_into_rat_nat (tptp.set_rat (-> tptp.rat tptp.nat) tptp.nat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.fun_in_rel_int_int (tptp.set_Pr958786334691620121nt_int tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.fun_in_rel_nat_nat (tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.fun_in_rel_nat_num (tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.fun_in8056734985859589634at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.fun_in6812141508599261570at_nat (tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.fun_is_measure_int ((-> tptp.int tptp.nat)) Bool)
% 3.35/4.33  (declare-fun tptp.fun_max_strict () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.fun_max_weak () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.fun_min_strict () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.fun_min_weak () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.fun_pair_leq () tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.fun_pair_less () tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.fun_re2478310338295953701at_nat (tptp.produc1319942482725812455at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.fun_rp8445993449185644698at_nat (tptp.produc1319942482725812455at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) tptp.produc1319942482725812455at_nat)
% 3.35/4.33  (declare-fun tptp.gcd_Gcd_int (tptp.set_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.gcd_Gcd_nat (tptp.set_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.gcd_Lcm_int (tptp.set_int) tptp.int)
% 3.35/4.33  (declare-fun tptp.gcd_Lcm_nat (tptp.set_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.abs_abs_Code_integer (tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.abs_abs_int (tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.abs_abs_rat (tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.minus_8373710615458151222nteger (tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.minus_minus_int (tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.minus_minus_nat (tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.minus_minus_rat (tptp.rat tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.minus_minus_set_o (tptp.set_o tptp.set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.minus_2355218937544613996nteger (tptp.set_Code_integer tptp.set_Code_integer) tptp.set_Code_integer)
% 3.35/4.33  (declare-fun tptp.minus_minus_set_int (tptp.set_int tptp.set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.minus_minus_set_nat (tptp.set_nat tptp.set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.minus_7052513330764642158od_o_o (tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o) tptp.set_Product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.minus_1052850069191792384nt_int (tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.minus_1356011639430497352at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.minus_8321449233255521966at_nat (tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.minus_8235382265540049710at_nat (tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat) tptp.set_Pr5564308138774400199at_nat)
% 3.35/4.33  (declare-fun tptp.minus_3314409938677909166at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.minus_8674369445256047406at_nat (tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.33  (declare-fun tptp.minus_6452836326544984404t_unit (tptp.set_Product_unit tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.minus_minus_set_rat (tptp.set_rat tptp.set_rat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.minus_minus_set_char (tptp.set_char tptp.set_char) tptp.set_char)
% 3.35/4.33  (declare-fun tptp.one_one_Code_integer () tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.one_one_int () tptp.int)
% 3.35/4.33  (declare-fun tptp.one_one_nat () tptp.nat)
% 3.35/4.33  (declare-fun tptp.plus_p5714425477246183910nteger (tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.plus_plus_int (tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.plus_plus_nat (tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.plus_plus_num (tptp.num tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.plus_plus_rat (tptp.rat tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.sgn_sgn_Code_integer (tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.sgn_sgn_int (tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.times_3573771949741848930nteger (tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.times_times_int (tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.times_times_nat (tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.times_times_rat (tptp.rat tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.uminus1351360451143612070nteger (tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.uminus_uminus_int (tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.uminus2952777764628376836t_unit (tptp.product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.uminus_uminus_rat (tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.zero_z3403309356797280102nteger () tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.zero_zero_int () tptp.int)
% 3.35/4.33  (declare-fun tptp.zero_zero_nat () tptp.nat)
% 3.35/4.33  (declare-fun tptp.the_Pr5012129486825234846t_unit ((-> tptp.produc7812382424243267045t_unit Bool)) tptp.produc7812382424243267045t_unit)
% 3.35/4.33  (declare-fun tptp.the_Pr4378521158711661632nt_int ((-> tptp.product_prod_int_int Bool)) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.the_Pr7557018466319803784at_nat ((-> tptp.product_prod_nat_nat Bool)) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.the_Pr8265262403268641490at_num ((-> tptp.product_prod_nat_num Bool)) tptp.product_prod_nat_num)
% 3.35/4.33  (declare-fun tptp.the_Pr4604535484834969198at_nat ((-> tptp.produc3843707927480180839at_nat Bool)) tptp.produc3843707927480180839at_nat)
% 3.35/4.33  (declare-fun tptp.the_Pr4877703158196064750at_nat ((-> tptp.produc1319942482725812455at_nat Bool)) tptp.produc1319942482725812455at_nat)
% 3.35/4.33  (declare-fun tptp.defaul566961228789861419t_unit () tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.lim_Product_unit (tptp.heap_e7401611519738050253t_unit) tptp.nat)
% 3.35/4.33  (declare-fun tptp.heap_b146640354529102224_ref_a (tptp.heap_Heap_ref_a (-> tptp.ref_a tptp.heap_Heap_ref_a)) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.heap_effect_ref_a (tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a) Bool)
% 3.35/4.33  (declare-fun tptp.heap_e2830298082929533060t_unit (tptp.heap_H6156071679106078628t_unit tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit) Bool)
% 3.35/4.33  (declare-fun tptp.heap_effect_a (tptp.heap_Heap_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a) Bool)
% 3.35/4.33  (declare-fun tptp.heap_guard_ref_a ((-> tptp.heap_e7401611519738050253t_unit Bool) (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.heap_heap_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.heap_raise_ref_a (tptp.literal) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.heap_return_ref_a (tptp.ref_a) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.heap_success_ref_a (tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit) Bool)
% 3.35/4.33  (declare-fun tptp.heap_tap_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.heap_tap_a ((-> tptp.heap_e7401611519738050253t_unit tptp.a)) tptp.heap_Heap_a)
% 3.35/4.33  (declare-fun tptp.if_Code_integer (Bool tptp.code_integer tptp.code_integer) tptp.code_integer)
% 3.35/4.33  (declare-fun tptp.if_Heap_Heap_ref_a (Bool tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a) tptp.heap_Heap_ref_a)
% 3.35/4.33  (declare-fun tptp.if_int (Bool tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.if_nat (Bool tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.if_num (Bool tptp.num tptp.num) tptp.num)
% 3.35/4.33  (declare-fun tptp.if_Pro5737122678794959658eger_o (Bool tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o) tptp.produc6271795597528267376eger_o)
% 3.35/4.33  (declare-fun tptp.if_Pro6119634080678213985nteger (Bool tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.33  (declare-fun tptp.if_Pro3027730157355071871nt_int (Bool tptp.product_prod_int_int tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.33  (declare-fun tptp.if_Pro6206227464963214023at_nat (Bool tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.if_Pro3444522238938527101atural (Bool tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural) tptp.produc4675096598859438275atural)
% 3.35/4.33  (declare-fun tptp.if_Pro4507677147265585453at_nat (Bool tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat) tptp.produc859450856879609959at_nat)
% 3.35/4.33  (declare-fun tptp.if_Pro3594990065127090477at_nat (Bool tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.33  (declare-fun tptp.if_Product_unit (Bool tptp.product_unit tptp.product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.if_rat (Bool tptp.rat tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.if_set_o (Bool tptp.set_o tptp.set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.if_set_nat (Bool tptp.set_nat tptp.set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.if_set1508868558775481357at_nat (Bool tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.if_set3208018901896979469at_nat (Bool tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.if_set_Product_unit (Bool tptp.set_Product_unit tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.abs_Integ (tptp.product_prod_nat_nat) tptp.int)
% 3.35/4.33  (declare-fun tptp.rep_Integ (tptp.int) tptp.product_prod_nat_nat)
% 3.35/4.33  (declare-fun tptp.cr_int (tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.int_ge_less_than (tptp.int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.int_ge_less_than2 (tptp.int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.intrel (tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.nat2 (tptp.int) tptp.nat)
% 3.35/4.33  (declare-fun tptp.pcr_int (tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.inf_inf_int_int_o ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.inf_inf_nat_nat_o ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.inf_inf_nat_num_o ((-> tptp.nat tptp.num Bool) (-> tptp.nat tptp.num Bool) tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.inf_in6124848772414083356_nat_o ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inf_in6969519006101653788_nat_o ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.inf_inf_int (tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.inf_inf_nat (tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.inf_inf_Product_unit (tptp.product_unit tptp.product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.inf_inf_rat (tptp.rat tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.inf_inf_set_o (tptp.set_o tptp.set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.inf_in1364745209274528805nteger (tptp.set_Code_integer tptp.set_Code_integer) tptp.set_Code_integer)
% 3.35/4.33  (declare-fun tptp.inf_inf_set_int (tptp.set_int tptp.set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.inf_inf_set_list_nat (tptp.set_list_nat tptp.set_list_nat) tptp.set_list_nat)
% 3.35/4.33  (declare-fun tptp.inf_inf_set_nat (tptp.set_nat tptp.set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.inf_in2269163501485487111nt_int (tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.inf_in2572325071724192079at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.inf_in7510916698018314649at_num (tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.inf_in4302113700860409141at_nat (tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.inf_in7913087082777306421at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.inf_in2456762090751560885at_nat (tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.33  (declare-fun tptp.inf_in4660618365625256667t_unit (tptp.set_Product_unit tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.inf_inf_set_rat (tptp.set_rat tptp.set_rat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.inf_inf_set_char (tptp.set_char tptp.set_char) tptp.set_char)
% 3.35/4.33  (declare-fun tptp.sup_su1544571744061072657eger_o ((-> tptp.int tptp.code_integer Bool) (-> tptp.int tptp.code_integer Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.33  (declare-fun tptp.sup_sup_int_int_o ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.sup_sup_nat_nat_o ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.33  (declare-fun tptp.sup_sup_nat_num_o ((-> tptp.nat tptp.num Bool) (-> tptp.nat tptp.num Bool) tptp.nat tptp.num) Bool)
% 3.35/4.33  (declare-fun tptp.sup_su5231854730092680051_int_o ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.33  (declare-fun tptp.sup_su362511073950362882_nat_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.33  (declare-fun tptp.sup_su7519161239522478338_nat_o ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.sup_su6164525874564267778_nat_o ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.33  (declare-fun tptp.sup_sup_int (tptp.int tptp.int) tptp.int)
% 3.35/4.33  (declare-fun tptp.sup_sup_nat (tptp.nat tptp.nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.sup_sup_Product_unit (tptp.product_unit tptp.product_unit) tptp.product_unit)
% 3.35/4.33  (declare-fun tptp.sup_sup_rat (tptp.rat tptp.rat) tptp.rat)
% 3.35/4.33  (declare-fun tptp.sup_sup_set_o (tptp.set_o tptp.set_o) tptp.set_o)
% 3.35/4.33  (declare-fun tptp.sup_sup_set_int (tptp.set_int tptp.set_int) tptp.set_int)
% 3.35/4.33  (declare-fun tptp.sup_sup_set_nat (tptp.set_nat tptp.set_nat) tptp.set_nat)
% 3.35/4.33  (declare-fun tptp.sup_su5769328420594410459od_o_o (tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o) tptp.set_Product_prod_o_o)
% 3.35/4.33  (declare-fun tptp.sup_su8679140417860611193_o_nat (tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat) tptp.set_Pr2101469702781467981_o_nat)
% 3.35/4.33  (declare-fun tptp.sup_su4058753791541417424t_unit (tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit) tptp.set_Pr6671815714118170108t_unit)
% 3.35/4.33  (declare-fun tptp.sup_su6024340866399070445nt_int (tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.33  (declare-fun tptp.sup_su503371503184139039_nat_o (tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o) tptp.set_Pr3149072824959771635_nat_o)
% 3.35/4.33  (declare-fun tptp.sup_su6327502436637775413at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.33  (declare-fun tptp.sup_su2042722026077122175at_num (tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.33  (declare-fun tptp.sup_su4209953369189666580t_unit (tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit) tptp.set_Pr4334478416066269672t_unit)
% 3.35/4.33  (declare-fun tptp.sup_su718114333110466843at_nat (tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.33  (declare-fun tptp.sup_su2851927382625014182unit_o (tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o) tptp.set_Pr5464989305201766866unit_o)
% 3.35/4.33  (declare-fun tptp.sup_su1639320892072265582it_nat (tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat) tptp.set_Pr1763845938948868674it_nat)
% 3.35/4.33  (declare-fun tptp.sup_su6481247232241170203t_unit (tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit) tptp.set_Pr5094982260447487303t_unit)
% 3.35/4.33  (declare-fun tptp.sup_su5525570899277871387at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.33  (declare-fun tptp.sup_su5395584912770621083at_nat (tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.33  (declare-fun tptp.sup_su793286257634532545t_unit (tptp.set_Product_unit tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.33  (declare-fun tptp.sup_sup_set_rat (tptp.set_rat tptp.set_rat) tptp.set_rat)
% 3.35/4.33  (declare-fun tptp.sup_sup_set_set_o (tptp.set_set_o tptp.set_set_o) tptp.set_set_o)
% 3.35/4.33  (declare-fun tptp.sup_sup_set_set_nat (tptp.set_set_nat tptp.set_set_nat) tptp.set_set_nat)
% 3.35/4.33  (declare-fun tptp.sup_su3642409539654194069at_nat (tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.33  (declare-fun tptp.sup_su474284620922681339at_nat (tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.33  (declare-fun tptp.sup_su5975557051335651745t_unit (tptp.set_set_Product_unit tptp.set_set_Product_unit) tptp.set_set_Product_unit)
% 3.35/4.33  (declare-fun tptp.lattic8265883725875713057ax_nat (tptp.set_nat) tptp.nat)
% 3.35/4.33  (declare-fun tptp.quotie9062115205763428814nteger ((-> (-> tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) Bool) (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer) (-> tptp.code_integer tptp.code_integer tptp.code_integer) (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotie8207154290130328982nteger ((-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool) (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer tptp.code_integer) (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotie8803226531959296410nteger ((-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool) (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer) (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_o_o ((-> Bool Bool Bool) (-> Bool Bool) (-> Bool Bool) (-> Bool Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_o_nat ((-> Bool Bool Bool) (-> Bool tptp.nat) (-> tptp.nat Bool) (-> Bool tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotie2291698863146621601nteger ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.code_integer) (-> tptp.code_integer tptp.int) (-> tptp.int tptp.code_integer Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_int_int ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int) (-> tptp.int tptp.int) (-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_int_nat ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.nat) (-> tptp.nat tptp.int) (-> tptp.int tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_int_num ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.num) (-> tptp.num tptp.int) (-> tptp.int tptp.num Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_nat_o ((-> tptp.nat tptp.nat Bool) (-> tptp.nat Bool) (-> Bool tptp.nat) (-> tptp.nat Bool Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_nat_int ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.int) (-> tptp.int tptp.nat) (-> tptp.nat tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_nat_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_nat_num ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.num) (-> tptp.num tptp.nat) (-> tptp.nat tptp.num Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_nat_rat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.rat) (-> tptp.rat tptp.nat) (-> tptp.nat tptp.rat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_nat_char ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.char) (-> tptp.char tptp.nat) (-> tptp.nat tptp.char Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_num_int ((-> tptp.num tptp.num Bool) (-> tptp.num tptp.int) (-> tptp.int tptp.num) (-> tptp.num tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_num_nat ((-> tptp.num tptp.num Bool) (-> tptp.num tptp.nat) (-> tptp.nat tptp.num) (-> tptp.num tptp.nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotie1194848508323700631at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.int Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotie4166942682936818134at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.33  (declare-fun tptp.quotient_rat_int ((-> tptp.rat tptp.rat Bool) (-> tptp.rat tptp.int) (-> tptp.int tptp.rat) (-> tptp.rat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_rat_nat ((-> tptp.rat tptp.rat Bool) (-> tptp.rat tptp.nat) (-> tptp.nat tptp.rat) (-> tptp.rat tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_rat_rat ((-> tptp.rat tptp.rat Bool) (-> tptp.rat tptp.rat) (-> tptp.rat tptp.rat) (-> tptp.rat tptp.rat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_rat_char ((-> tptp.rat tptp.rat Bool) (-> tptp.rat tptp.char) (-> tptp.char tptp.rat) (-> tptp.rat tptp.char Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_char_int ((-> tptp.char tptp.char Bool) (-> tptp.char tptp.int) (-> tptp.int tptp.char) (-> tptp.char tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_char_nat ((-> tptp.char tptp.char Bool) (-> tptp.char tptp.nat) (-> tptp.nat tptp.char) (-> tptp.char tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_char_rat ((-> tptp.char tptp.char Bool) (-> tptp.char tptp.rat) (-> tptp.rat tptp.char) (-> tptp.char tptp.rat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.quotient_char_char ((-> tptp.char tptp.char Bool) (-> tptp.char tptp.char) (-> tptp.char tptp.char) (-> tptp.char tptp.char Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.all_interval_nat ((-> tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.cons_nat (tptp.nat tptp.list_nat) tptp.list_nat)
% 3.35/4.34  (declare-fun tptp.nil_nat () tptp.list_nat)
% 3.35/4.34  (declare-fun tptp.list_ex_nat ((-> tptp.nat Bool) tptp.list_nat) Bool)
% 3.35/4.34  (declare-fun tptp.upt (tptp.nat tptp.nat) tptp.list_nat)
% 3.35/4.34  (declare-fun tptp.suc (tptp.nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.case_nat_option_num (tptp.option_num (-> tptp.nat tptp.option_num) tptp.nat) tptp.option_num)
% 3.35/4.34  (declare-fun tptp.semiring_1_Nats_int () tptp.set_int)
% 3.35/4.34  (declare-fun tptp.semiri1314217659103216013at_int (tptp.nat) tptp.int)
% 3.35/4.34  (declare-fun tptp.nat_int_decode (tptp.nat) tptp.int)
% 3.35/4.34  (declare-fun tptp.nat_int_encode (tptp.int) tptp.nat)
% 3.35/4.34  (declare-fun tptp.nat_list_decode (tptp.nat) tptp.list_nat)
% 3.35/4.34  (declare-fun tptp.nat_list_decode_rel (tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.nat_list_encode (tptp.list_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.nat_prod_decode (tptp.nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.nat_prod_encode (tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.nat_sum_decode (tptp.nat) tptp.sum_sum_nat_nat)
% 3.35/4.34  (declare-fun tptp.nat_sum_encode (tptp.sum_sum_nat_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.nat_triangle (tptp.nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.bit0 (tptp.num) tptp.num)
% 3.35/4.34  (declare-fun tptp.bit1 (tptp.num) tptp.num)
% 3.35/4.34  (declare-fun tptp.one () tptp.num)
% 3.35/4.34  (declare-fun tptp.case_num_option_num (tptp.option_num (-> tptp.num tptp.option_num) (-> tptp.num tptp.option_num) tptp.num) tptp.option_num)
% 3.35/4.34  (declare-fun tptp.num_of_nat (tptp.nat) tptp.num)
% 3.35/4.34  (declare-fun tptp.numera6620942414471956472nteger (tptp.num) tptp.code_integer)
% 3.35/4.34  (declare-fun tptp.numeral_numeral_int (tptp.num) tptp.int)
% 3.35/4.34  (declare-fun tptp.numeral_numeral_nat (tptp.num) tptp.nat)
% 3.35/4.34  (declare-fun tptp.none_num () tptp.option_num)
% 3.35/4.34  (declare-fun tptp.some_num (tptp.num) tptp.option_num)
% 3.35/4.34  (declare-fun tptp.case_option_num_num (tptp.num (-> tptp.num tptp.num) tptp.option_num) tptp.num)
% 3.35/4.34  (declare-fun tptp.case_o6005452278849405969um_num (tptp.option_num (-> tptp.num tptp.option_num) tptp.option_num) tptp.option_num)
% 3.35/4.34  (declare-fun tptp.order_aboveS_int (tptp.set_Pr958786334691620121nt_int tptp.int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.order_aboveS_nat (tptp.set_Pr1261947904930325089at_nat tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.order_1761765819289301284nt_int (tptp.set_Pr2560585780119916871nt_int tptp.product_prod_int_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.order_4940263126897443436at_nat (tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.order_4440095836999870412at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.order_2442354982230848562at_nat (tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.order_6238756238976269133r_on_o (tptp.set_o tptp.set_Product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.order_4471489696718655927on_int (tptp.set_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.order_4473980167227706203on_nat (tptp.set_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_7480980593162297270at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_2711500226769404828at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_888282469287196226t_unit (tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.order_5942792088423767318at_nat (tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_1878278401035043452at_nat (tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_1960202971199294558of_int ((-> tptp.int tptp.int Bool) tptp.set_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.order_1962693441708344834of_nat ((-> tptp.nat tptp.nat Bool) tptp.set_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.order_8809246210994205103at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_se7855581050983116737at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.order_8308734813930759573at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.set_se5479201105039950375at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.order_underS_nat (tptp.set_Pr1261947904930325089at_nat tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.order_2615775362358406454r_on_o (tptp.set_o tptp.set_Product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.order_2886507596567047182on_int (tptp.set_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.order_2888998067076097458on_nat (tptp.set_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_8331247224601271455at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_2339240034117818117at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_3164716736300062379t_unit (tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.order_1968183844437341695at_nat (tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.order_423636163458052581at_nat (tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bo341146761387662761eger_o (tptp.int tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bot_int_int_o (tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bot_nat_nat_o (tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bot_nat_num_o (tptp.nat tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bo5438875203632553179_int_o (tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bo4898103413517107610_nat_o (tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bo394778441745866138_nat_o (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bo3364206721330744218_nat_o (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.bot_bo2717538794563056311t_unit () tptp.pred_Product_unit)
% 3.35/4.34  (declare-fun tptp.bot_bot_Product_unit () tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_o () tptp.set_o)
% 3.35/4.34  (declare-fun tptp.bot_bo3686245532977126937t_unit () tptp.set_he8644174446132254637t_unit)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_ref_a () tptp.set_ref_a)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_int () tptp.set_int)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_nat () tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_num () tptp.set_num)
% 3.35/4.34  (declare-fun tptp.bot_bo7073875226086086771od_o_o () tptp.set_Product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.bot_bo66526543525301729_o_nat () tptp.set_Pr2101469702781467981_o_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo4402188677660116584t_unit () tptp.set_Pr6671815714118170108t_unit)
% 3.35/4.34  (declare-fun tptp.bot_bo1796632182523588997nt_int () tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.bot_bo1114129665703605383_nat_o () tptp.set_Pr3149072824959771635_nat_o)
% 3.35/4.34  (declare-fun tptp.bot_bo2099793752762293965at_nat () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo7038385379056416535at_num () tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.bot_bo5043309098482578556t_unit () tptp.set_Pr4334478416066269672t_unit)
% 3.35/4.34  (declare-fun tptp.bot_bo5327735625951526323at_nat () tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo7193250159860175667at_nat () tptp.set_Pr5564308138774400199at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo3195362268743713342unit_o () tptp.set_Pr5464989305201766866unit_o)
% 3.35/4.34  (declare-fun tptp.bot_bo2472676621365177558it_nat () tptp.set_Pr1763845938948868674it_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo6659885642593197735at_nat () tptp.set_Pr3798168094891919931at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo1654022762305692595t_unit () tptp.set_Pr5094982260447487303t_unit)
% 3.35/4.34  (declare-fun tptp.bot_bo228742789529271731at_nat () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo4948859079157340979at_nat () tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo3957492148770167129t_unit () tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_rat () tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_set_nat () tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo3083307316010499117at_nat () tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bo1534825418459847827at_nat () tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.bot_bot_set_char () tptp.set_char)
% 3.35/4.34  (declare-fun tptp.ord_le6747313008572928689nteger (tptp.code_integer tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_int (tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_nat (tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_rat (tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le7522433683449569238eger_o ((-> (-> tptp.int tptp.int) (-> tptp.code_integer tptp.code_integer) Bool) (-> (-> tptp.int tptp.int) (-> tptp.code_integer tptp.code_integer) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6931201860925936491_num_o ((-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le4541714130423454556_num_o ((-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le8615040745438789472_int_o ((-> (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.code_integer tptp.int) Bool) (-> (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.code_integer tptp.int) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2932013042137311317nt_o_o ((-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool) (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6141271677531915726eger_o ((-> (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.code_integer) Bool) (-> (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.code_integer) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le1714508135640884727_nat_o ((-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2484784447047653514_int_o ((-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool) (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3602516367967493612eger_o ((-> tptp.code_integer tptp.code_integer Bool) (-> tptp.code_integer tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le996066559646421213eger_o ((-> tptp.int tptp.code_integer Bool) (-> tptp.int tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6741204236512500942_int_o ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le8236914709048111138_rat_o ((-> tptp.int tptp.rat Bool) (-> tptp.int tptp.rat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le7608100903186094441char_o ((-> tptp.int tptp.char Bool) (-> tptp.int tptp.char Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2646555220125990790_nat_o ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3404735783095501756_num_o ((-> tptp.nat tptp.num Bool) (-> tptp.nat tptp.num Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le1897120724991155070_rat_o ((-> tptp.nat tptp.rat Bool) (-> tptp.nat tptp.rat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le4878496333587278021char_o ((-> tptp.nat tptp.char Bool) (-> tptp.nat tptp.char Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6124364862034508274_num_o ((-> tptp.num tptp.num Bool) (-> tptp.num tptp.num Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le129227817499904167_int_o ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.product_prod_nat_nat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5604493270027003598_nat_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3222257882335906850_int_o ((-> tptp.rat tptp.int Bool) (-> tptp.rat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5467402850006352766_nat_o ((-> tptp.rat tptp.nat Bool) (-> tptp.rat tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le4717968354871517046_rat_o ((-> tptp.rat tptp.rat Bool) (-> tptp.rat tptp.rat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6546876390139131069char_o ((-> tptp.rat tptp.char Bool) (-> tptp.rat tptp.char Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3935385432712749774_nat_o ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3072208448688395470_nat_o ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3396192186225775209_int_o ((-> tptp.char tptp.int Bool) (-> tptp.char tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5641337153896221125_nat_o ((-> tptp.char tptp.nat Bool) (-> tptp.char tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le4891902658761385405_rat_o ((-> tptp.char tptp.rat Bool) (-> tptp.char tptp.rat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2540245887939449860char_o ((-> tptp.char tptp.char Bool) (-> tptp.char tptp.char Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3102999989581377725nteger (tptp.code_integer tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_int (tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_nat (tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3221252021190050221t_unit (tptp.product_unit tptp.product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_rat (tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le348599935723844335nteger (tptp.set_Co726186806682698383nteger tptp.set_Co726186806682698383nteger) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_set_o (tptp.set_o tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_set_int (tptp.set_int tptp.set_int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_set_nat (tptp.set_nat tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_set_num (tptp.set_num tptp.set_num) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le192195778054999463od_o_o (tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6472378536984071597_o_nat (tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le518195775913581980t_unit (tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5525191956872776187t_unit (tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1133966238863718811t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2638047946463454698nteger (tptp.set_Pr8415741480598773322nteger tptp.set_Pr8415741480598773322nteger) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2843351958646193337nt_int (tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5333435103577920093nt_nat (tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le7519981659162375251_nat_o (tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le656430383953171549at_int (tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3146513528884898305at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le8085105155179020875at_num (tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le1468274181084648008t_unit (tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5989899228261996553at_rat (tptp.set_Pr4105333604307423337at_rat tptp.set_Pr4105333604307423337at_rat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5164908622851071819um_nat (tptp.set_Pr3280342998896498603um_nat tptp.set_Pr3280342998896498603um_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le880128212290418581um_num (tptp.set_Pr8218934625190621173um_num tptp.set_Pr8218934625190621173um_num) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le4604737605482584818at_int (tptp.set_Pr49084382684228242at_int tptp.set_Pr49084382684228242at_int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3000389064537975527at_nat (tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3091953645718357095at_nat (tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le8534741403851954546unit_o (tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le8121013740822022818it_nat (tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le8681960759543468507at_nat (tptp.set_Pr3798168094891919931at_nat tptp.set_Pr3798168094891919931at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le930853871177014503t_unit (tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le1268244103169919719at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le5997549366648089703at_nat (tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le3507040750410214029t_unit (tptp.set_Product_unit tptp.set_Product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_set_rat (tptp.set_rat tptp.set_rat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le4403425263959731960et_int (tptp.set_set_int tptp.set_set_int) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le6893508408891458716et_nat (tptp.set_set_nat tptp.set_set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le2077887516847798113at_nat (tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le7966958417815640519at_nat (tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_le513522071413781156et_rat (tptp.set_set_rat tptp.set_set_rat) Bool)
% 3.35/4.34  (declare-fun tptp.ord_less_eq_set_char (tptp.set_char tptp.set_char) Bool)
% 3.35/4.34  (declare-fun tptp.order_3677659787690696076nt_int ((-> tptp.int tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_3680150258199746352nt_nat ((-> tptp.int tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_2678306075789641520at_int ((-> tptp.nat tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_2680796546298691796at_nat ((-> tptp.nat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_2045666486212196060at_rat ((-> tptp.nat tptp.rat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_o_int ((-> Bool tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_o_nat ((-> Bool tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_7782127260464396005t_unit ((-> Bool tptp.product_unit)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_int_int ((-> tptp.int tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_int_nat ((-> tptp.int tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_2843698775922903023t_unit ((-> tptp.int tptp.product_unit)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_nat_int ((-> tptp.nat tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_nat_nat ((-> tptp.nat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_5727276828720722763t_unit ((-> tptp.nat tptp.product_unit)) Bool)
% 3.35/4.34  (declare-fun tptp.order_mono_nat_rat ((-> tptp.nat tptp.rat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_7093624213399680841it_int ((-> tptp.product_unit tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_7096114683908731117it_nat ((-> tptp.product_unit tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_4454465170704313136t_unit ((-> tptp.product_unit tptp.product_unit)) Bool)
% 3.35/4.34  (declare-fun tptp.order_509894322932672675et_nat ((-> tptp.product_unit tptp.set_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_7928700340835332885t_unit ((-> tptp.set_nat tptp.product_unit)) Bool)
% 3.35/4.34  (declare-fun tptp.order_1005506198798982270et_nat ((-> tptp.set_nat tptp.set_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_6722886889984875411nt_int ((-> tptp.int tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_6725377360493925687nt_nat ((-> tptp.int tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_6090247300407429951nt_rat ((-> tptp.int tptp.rat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_5723533178083820855at_int ((-> tptp.nat tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_5726023648592871131at_nat ((-> tptp.nat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_5090893588506375395at_rat ((-> tptp.nat tptp.rat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_5406978534148954943at_int ((-> tptp.rat tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.order_5409469004658005219at_nat ((-> tptp.rat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.order_4774338944571509483at_rat ((-> tptp.rat tptp.rat)) Bool)
% 3.35/4.34  (declare-fun tptp.top_top_int_int_o (tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.top_top_nat_nat_o (tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.top_top_nat_num_o (tptp.nat tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.top_to8903224817164384382_nat_o (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.top_to1326704617074743934_nat_o (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.top_top_Product_unit () tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.top_to3639204395728341691nteger () tptp.set_Co4375521073081744395nteger)
% 3.35/4.34  (declare-fun tptp.top_to3804862627464599871nteger () tptp.set_Co726186806682698383nteger)
% 3.35/4.34  (declare-fun tptp.top_top_set_int_int () tptp.set_int_int)
% 3.35/4.34  (declare-fun tptp.top_top_set_int_nat () tptp.set_int_nat)
% 3.35/4.34  (declare-fun tptp.top_top_set_int_rat () tptp.set_int_rat)
% 3.35/4.34  (declare-fun tptp.top_top_set_int_char () tptp.set_int_char)
% 3.35/4.34  (declare-fun tptp.top_top_set_nat_o () tptp.set_nat_o)
% 3.35/4.34  (declare-fun tptp.top_top_set_nat_nat () tptp.set_nat_nat)
% 3.35/4.34  (declare-fun tptp.top_top_set_nat_rat () tptp.set_nat_rat)
% 3.35/4.34  (declare-fun tptp.top_top_set_nat_char () tptp.set_nat_char)
% 3.35/4.34  (declare-fun tptp.top_top_set_rat_nat () tptp.set_rat_nat)
% 3.35/4.34  (declare-fun tptp.top_top_set_rat_rat () tptp.set_rat_rat)
% 3.35/4.34  (declare-fun tptp.top_top_set_rat_char () tptp.set_rat_char)
% 3.35/4.34  (declare-fun tptp.top_top_set_char_nat () tptp.set_char_nat)
% 3.35/4.34  (declare-fun tptp.top_top_set_char_rat () tptp.set_char_rat)
% 3.35/4.34  (declare-fun tptp.top_to8079350907815874599r_char () tptp.set_char_char)
% 3.35/4.34  (declare-fun tptp.top_top_set_o () tptp.set_o)
% 3.35/4.34  (declare-fun tptp.top_to4645266643341252675nteger () tptp.set_Code_integer)
% 3.35/4.34  (declare-fun tptp.top_to3956321331435058429t_unit () tptp.set_he8644174446132254637t_unit)
% 3.35/4.34  (declare-fun tptp.top_top_set_ref_a () tptp.set_ref_a)
% 3.35/4.34  (declare-fun tptp.top_top_set_int () tptp.set_int)
% 3.35/4.34  (declare-fun tptp.top_top_set_list_nat () tptp.set_list_nat)
% 3.35/4.34  (declare-fun tptp.top_top_set_nat () tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.top_top_set_num () tptp.set_num)
% 3.35/4.34  (declare-fun tptp.top_to2363841527343591755nteger () tptp.set_Pr4811707699266497531nteger)
% 3.35/4.34  (declare-fun tptp.top_to2503719809363509323t_unit () tptp.set_Pr1133966238863718811t_unit)
% 3.35/4.34  (declare-fun tptp.top_to4366644338036079209nt_int () tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.top_to4669805908274784177at_nat () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.top_to385025497714130939at_num () tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.top_to7513191607651882425at_rat () tptp.set_Pr4105333604307423337at_rat)
% 3.35/4.34  (declare-fun tptp.top_to7107842681480589234t_char () tptp.set_Pr2926629348867340898t_char)
% 3.35/4.34  (declare-fun tptp.top_to7002410609688830997at_int () tptp.set_Pr3594552606344371909at_int)
% 3.35/4.34  (declare-fun tptp.top_to269121717765781945at_nat () tptp.set_Pr6084635751276098665at_nat)
% 3.35/4.34  (declare-fun tptp.top_to3112507417142880193at_rat () tptp.set_Pr8928021450653196913at_rat)
% 3.35/4.34  (declare-fun tptp.top_to3221206985699244474t_char () tptp.set_Pr8263365689940771946t_char)
% 3.35/4.34  (declare-fun tptp.top_to6833984726390702231at_nat () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.top_to5281548843312042519at_nat () tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.top_to3104204703268025230ar_int () tptp.set_Pr8146363407509552702ar_int)
% 3.35/4.34  (declare-fun tptp.top_to5594287848199751986ar_nat () tptp.set_Pr1413074515586503650ar_nat)
% 3.35/4.34  (declare-fun tptp.top_to8437673547576850234ar_rat () tptp.set_Pr4256460214963601898ar_rat)
% 3.35/4.34  (declare-fun tptp.top_to1235241553633177651r_char () tptp.set_Pr3309569728657787619r_char)
% 3.35/4.34  (declare-fun tptp.top_to1996260823553986621t_unit () tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.top_top_set_rat () tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.top_top_set_char () tptp.set_char)
% 3.35/4.34  (declare-fun tptp.top_to6661820994512907621at_nat () tptp.set_Sum_sum_nat_nat)
% 3.35/4.34  (declare-fun tptp.eval_Product_unit (tptp.pred_Product_unit tptp.product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.single_Product_unit (tptp.product_unit) tptp.pred_Product_unit)
% 3.35/4.34  (declare-fun tptp.product_Pair_o_o (Bool Bool) tptp.product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.product_Pair_o_int (Bool tptp.int) tptp.product_prod_o_int)
% 3.35/4.34  (declare-fun tptp.product_Pair_o_nat (Bool tptp.nat) tptp.product_prod_o_nat)
% 3.35/4.34  (declare-fun tptp.produc3901946521647900940t_unit (Bool tptp.product_unit) tptp.produc3788275437394581276t_unit)
% 3.35/4.34  (declare-fun tptp.produc6677183202524767010eger_o (tptp.code_integer Bool) tptp.produc6271795597528267376eger_o)
% 3.35/4.34  (declare-fun tptp.produc1086072967326762835nteger (tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc8256076736985659095t_unit (tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc8126358835630522215t_unit)
% 3.35/4.34  (declare-fun tptp.produc2564672488694626579_ref_a (tptp.heap_e7401611519738050253t_unit tptp.ref_a) tptp.produc1799199577659733785_ref_a)
% 3.35/4.34  (declare-fun tptp.produc6544324848051098391t_unit (tptp.ref_a tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.produc1340070678782110931_ref_a (tptp.ref_a tptp.ref_a) tptp.produc5288414631154139675_ref_a)
% 3.35/4.34  (declare-fun tptp.product_Pair_int_o (tptp.int Bool) tptp.product_prod_int_o)
% 3.35/4.34  (declare-fun tptp.product_Pair_int_int (tptp.int tptp.int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.product_Pair_int_nat (tptp.int tptp.nat) tptp.product_prod_int_nat)
% 3.35/4.34  (declare-fun tptp.produc550872421827702152t_unit (tptp.int tptp.product_unit) tptp.produc6865911496949736918t_unit)
% 3.35/4.34  (declare-fun tptp.product_Pair_int_rat (tptp.int tptp.rat) tptp.product_prod_int_rat)
% 3.35/4.34  (declare-fun tptp.product_Pair_nat_o (tptp.nat Bool) tptp.product_prod_nat_o)
% 3.35/4.34  (declare-fun tptp.product_Pair_nat_int (tptp.nat tptp.int) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.product_Pair_nat_nat (tptp.nat tptp.nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.product_Pair_nat_num (tptp.nat tptp.num) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc3434450474625521892t_unit (tptp.nat tptp.product_unit) tptp.produc526117512892780850t_unit)
% 3.35/4.34  (declare-fun tptp.product_Pair_nat_rat (tptp.nat tptp.rat) tptp.product_prod_nat_rat)
% 3.35/4.34  (declare-fun tptp.product_Pair_num_nat (tptp.num tptp.nat) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.product_Pair_num_num (tptp.num tptp.num) tptp.product_prod_num_num)
% 3.35/4.34  (declare-fun tptp.produc5069803637994805237atural (tptp.pred_Product_unit tptp.produc7822875418678951345atural) tptp.produc4675096598859438275atural)
% 3.35/4.34  (declare-fun tptp.produc3646306378393792727nt_int (tptp.product_prod_int_int tptp.product_prod_int_int) tptp.produc1219242969750017639nt_int)
% 3.35/4.34  (declare-fun tptp.produc6161850002892822231at_nat (tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.produc859450856879609959at_nat)
% 3.35/4.34  (declare-fun tptp.produc4662710985925991255at_nat (tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat) tptp.produc349518998152878311at_nat)
% 3.35/4.34  (declare-fun tptp.produc2335810615602371415at_nat (tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat) tptp.produc1906917888121415911at_nat)
% 3.35/4.34  (declare-fun tptp.produc8487917018914037602unit_o (tptp.product_unit Bool) tptp.produc7485711547916492274unit_o)
% 3.35/4.34  (declare-fun tptp.produc4803288329813530246it_nat (tptp.product_unit tptp.nat) tptp.produc600557818389255820it_nat)
% 3.35/4.34  (declare-fun tptp.produc5692694829384537815t_unit (tptp.product_unit tptp.product_unit) tptp.produc8459935480633519975t_unit)
% 3.35/4.34  (declare-fun tptp.produc4168158269727034510it_rat (tptp.product_unit tptp.rat) tptp.produc6315701296850634900it_rat)
% 3.35/4.34  (declare-fun tptp.product_Pair_rat_int (tptp.rat tptp.int) tptp.product_prod_rat_int)
% 3.35/4.34  (declare-fun tptp.product_Pair_rat_nat (tptp.rat tptp.nat) tptp.product_prod_rat_nat)
% 3.35/4.34  (declare-fun tptp.product_Pair_rat_rat (tptp.rat tptp.rat) tptp.product_prod_rat_rat)
% 3.35/4.34  (declare-fun tptp.produc2922128104949294807at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc9060074326276436823at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.product_Sigma_o_o (tptp.set_o (-> Bool tptp.set_o)) tptp.set_Product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.product_Sigma_o_int (tptp.set_o (-> Bool tptp.set_int)) tptp.set_Pr8834758594704517033_o_int)
% 3.35/4.34  (declare-fun tptp.product_Sigma_o_nat (tptp.set_o (-> Bool tptp.set_nat)) tptp.set_Pr2101469702781467981_o_nat)
% 3.35/4.34  (declare-fun tptp.produc411009820408249917t_unit (tptp.set_o (-> Bool tptp.set_Product_unit)) tptp.set_Pr6671815714118170108t_unit)
% 3.35/4.34  (declare-fun tptp.produc5882431272649516420nteger (tptp.set_Code_integer (-> tptp.code_integer tptp.set_Code_integer)) tptp.set_Pr4811707699266497531nteger)
% 3.35/4.34  (declare-fun tptp.produc3946373962484743846t_unit (tptp.set_ref_a (-> tptp.ref_a tptp.set_he8644174446132254637t_unit)) tptp.set_Pr1133966238863718811t_unit)
% 3.35/4.34  (declare-fun tptp.product_Sigma_int_o (tptp.set_int (-> tptp.int tptp.set_o)) tptp.set_Pr903927857289325719_int_o)
% 3.35/4.34  (declare-fun tptp.produc1453890548195736866nt_int (tptp.set_int (-> tptp.int tptp.set_int)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.produc1456381018704787142nt_nat (tptp.set_int (-> tptp.int tptp.set_nat)) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.34  (declare-fun tptp.produc2622961094310184599t_unit (tptp.set_int (-> tptp.int tptp.set_Product_unit)) tptp.set_Pr5889264611543340172t_unit)
% 3.35/4.34  (declare-fun tptp.produc821250958618291406nt_rat (tptp.set_int (-> tptp.int tptp.set_rat)) tptp.set_Pr6292255179000445125nt_rat)
% 3.35/4.34  (declare-fun tptp.product_Sigma_nat_o (tptp.set_nat (-> tptp.nat tptp.set_o)) tptp.set_Pr3149072824959771635_nat_o)
% 3.35/4.34  (declare-fun tptp.produc454536836294682310at_int (tptp.set_nat (-> tptp.nat tptp.set_int)) tptp.set_Pr7995236796853374141at_int)
% 3.35/4.34  (declare-fun tptp.produc457027306803732586at_nat (tptp.set_nat (-> tptp.nat tptp.set_nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.produc6237731129814287028at_num (tptp.set_nat (-> tptp.nat tptp.set_num)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.produc7854212285064481439nt_int (tptp.set_nat (-> tptp.nat tptp.set_Pr958786334691620121nt_int)) tptp.set_Pr6123067485828015636nt_int)
% 3.35/4.34  (declare-fun tptp.produc1809337555817847783at_nat (tptp.set_nat (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr7717912310451564380at_nat)
% 3.35/4.34  (declare-fun tptp.produc5506539147108004339t_unit (tptp.set_nat (-> tptp.nat tptp.set_Product_unit)) tptp.set_Pr4334478416066269672t_unit)
% 3.35/4.34  (declare-fun tptp.produc9045269283572012658at_rat (tptp.set_nat (-> tptp.nat tptp.set_rat)) tptp.set_Pr4105333604307423337at_rat)
% 3.35/4.34  (declare-fun tptp.produc4754187946284079723t_char (tptp.set_nat (-> tptp.nat tptp.set_char)) tptp.set_Pr2926629348867340898t_char)
% 3.35/4.34  (declare-fun tptp.produc7810729746965977780um_nat (tptp.set_num (-> tptp.num tptp.set_nat)) tptp.set_Pr3280342998896498603um_nat)
% 3.35/4.34  (declare-fun tptp.produc1007865297704999105nt_nat (tptp.set_Pr958786334691620121nt_int (-> tptp.product_prod_int_int tptp.set_nat)) tptp.set_Pr2543308735921124078nt_nat)
% 3.35/4.34  (declare-fun tptp.produc245848125267896712nt_int (tptp.set_Pr958786334691620121nt_int (-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)) tptp.set_Pr2560585780119916871nt_int)
% 3.35/4.34  (declare-fun tptp.produc3424345432876038864at_nat (tptp.set_Pr958786334691620121nt_int (-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr4155430604743465615at_nat)
% 3.35/4.34  (declare-fun tptp.produc203973861852599583_nat_o (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.set_o)) tptp.set_Pr6558897299634722526_nat_o)
% 3.35/4.34  (declare-fun tptp.produc7672662199629908489at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.set_nat)) tptp.set_Pr2539167527615954998at_nat)
% 3.35/4.34  (declare-fun tptp.produc8806266479013559872nt_int (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)) tptp.set_Pr7098892610798258687nt_int)
% 3.35/4.34  (declare-fun tptp.produc2761391749766926216at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.produc4441300235185154312at_nat (tptp.set_Pr4329608150637261639at_nat (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) tptp.set_Pr5564308138774400199at_nat)
% 3.35/4.34  (declare-fun tptp.produc4996980317674386579unit_o (tptp.set_Product_unit (-> tptp.product_unit tptp.set_o)) tptp.set_Pr5464989305201766866unit_o)
% 3.35/4.34  (declare-fun tptp.produc6875377002296012693it_nat (tptp.set_Product_unit (-> tptp.product_unit tptp.set_nat)) tptp.set_Pr1763845938948868674it_nat)
% 3.35/4.34  (declare-fun tptp.produc3904733337175673596at_nat (tptp.set_Product_unit (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr3798168094891919931at_nat)
% 3.35/4.34  (declare-fun tptp.produc6121607364029222536t_unit (tptp.set_Product_unit (-> tptp.product_unit tptp.set_Product_unit)) tptp.set_Pr5094982260447487303t_unit)
% 3.35/4.34  (declare-fun tptp.produc6240246942209516957it_rat (tptp.set_Product_unit (-> tptp.product_unit tptp.set_rat)) tptp.set_Pr4607231638325966922it_rat)
% 3.35/4.34  (declare-fun tptp.produc137982192359816398at_int (tptp.set_rat (-> tptp.rat tptp.set_int)) tptp.set_Pr3594552606344371909at_int)
% 3.35/4.34  (declare-fun tptp.produc140472662868866674at_nat (tptp.set_rat (-> tptp.rat tptp.set_nat)) tptp.set_Pr6084635751276098665at_nat)
% 3.35/4.34  (declare-fun tptp.produc8728714639637146746at_rat (tptp.set_rat (-> tptp.rat tptp.set_rat)) tptp.set_Pr8928021450653196913at_rat)
% 3.35/4.34  (declare-fun tptp.produc1427039474575272051t_char (tptp.set_rat (-> tptp.rat tptp.set_char)) tptp.set_Pr8263365689940771946t_char)
% 3.35/4.34  (declare-fun tptp.produc7726050920695093128at_nat (tptp.set_se7855581050983116737at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.produc6258361011560675592at_nat (tptp.set_se5479201105039950375at_nat (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.produc1836876251250453959ar_int (tptp.set_char (-> tptp.char tptp.set_int)) tptp.set_Pr8146363407509552702ar_int)
% 3.35/4.34  (declare-fun tptp.produc1839366721759504235ar_nat (tptp.set_char (-> tptp.char tptp.set_nat)) tptp.set_Pr1413074515586503650ar_nat)
% 3.35/4.34  (declare-fun tptp.produc1204236661673008499ar_rat (tptp.set_char (-> tptp.char tptp.set_rat)) tptp.set_Pr4256460214963601898ar_rat)
% 3.35/4.34  (declare-fun tptp.produc2936396906406871148r_char (tptp.set_char (-> tptp.char tptp.set_char)) tptp.set_Pr3309569728657787619r_char)
% 3.35/4.34  (declare-fun tptp.product_Unity () tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.produc3195571438000033749nteger ((-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc4508741384315284437t_unit ((-> tptp.ref_a tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.produc5845103964736263686t_unit ((-> tptp.ref_a tptp.int) tptp.produc7812382424243267045t_unit) tptp.produc3969062480670737046t_unit)
% 3.35/4.34  (declare-fun tptp.produc6143945040009431475nt_int ((-> tptp.ref_a tptp.int) tptp.produc8483956148555600810_a_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc6942186945380262242t_unit ((-> tptp.ref_a tptp.nat) tptp.produc7812382424243267045t_unit) tptp.produc5066145461314735602t_unit)
% 3.35/4.34  (declare-fun tptp.produc5147081798617427195at_nat ((-> tptp.ref_a tptp.nat) tptp.produc3438435131210021710_a_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc1704413584773205829at_num ((-> tptp.ref_a tptp.nat) tptp.produc4146679068158859416_a_num) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc5323809043756447493t_unit ((-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat) tptp.produc7812382424243267045t_unit) tptp.produc3629471303718939987t_unit)
% 3.35/4.34  (declare-fun tptp.produc4016808307611786905at_nat ((-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat) tptp.produc5561445381605014009at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc5988837738927868575t_unit ((-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat) tptp.produc7812382424243267045t_unit) tptp.produc2296667697112141421t_unit)
% 3.35/4.34  (declare-fun tptp.produc2316621926130398489at_nat ((-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat) tptp.produc4041253808165279839at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.produc2355237562570658114nt_int ((-> tptp.int tptp.int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc986720760941809198at_nat ((-> tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc6767424583952363640at_num ((-> tptp.nat tptp.nat) tptp.product_prod_nat_num) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc5380969780118646373at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc6529295065807390923at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.produc6499014454317279255nteger ((-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc3038839249364385243_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.produc3558794870892339738_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.int) tptp.produc7812382424243267045t_unit) tptp.produc8483956148555600810_a_int)
% 3.35/4.34  (declare-fun tptp.produc6768910348387636265nt_int ((-> tptp.heap_e7401611519738050253t_unit tptp.int) tptp.produc3969062480670737046t_unit) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc8366372614399963582_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.nat) tptp.produc7812382424243267045t_unit) tptp.produc3438435131210021710_a_nat)
% 3.35/4.34  (declare-fun tptp.produc5772047106995631985at_nat ((-> tptp.heap_e7401611519738050253t_unit tptp.nat) tptp.produc5066145461314735602t_unit) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc7633249859560231688_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.num) tptp.produc7812382424243267045t_unit) tptp.produc4146679068158859416_a_num)
% 3.35/4.34  (declare-fun tptp.produc3902377510303101371um_nat ((-> tptp.heap_e7401611519738050253t_unit tptp.num) tptp.produc5066145461314735602t_unit) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc2928627021203296111_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat) tptp.produc7812382424243267045t_unit) tptp.produc5561445381605014009at_nat)
% 3.35/4.34  (declare-fun tptp.produc8705118745468743695at_nat ((-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat) tptp.produc3629471303718939987t_unit) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc5080965012319039829_ref_a ((-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat) tptp.produc7812382424243267045t_unit) tptp.produc4041253808165279839at_nat)
% 3.35/4.34  (declare-fun tptp.produc5990651871820846223at_nat ((-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat) tptp.produc2296667697112141421t_unit) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.produc4463282112584876420nt_int ((-> tptp.int tptp.int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc3094765310956027504at_nat ((-> tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc1225095714263496890um_nat ((-> tptp.nat tptp.num) tptp.product_prod_nat_nat) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc1035573138926686394at_nat ((-> tptp.num tptp.nat) tptp.product_prod_nat_num) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc8389275579088931588um_nat ((-> tptp.num tptp.num) tptp.product_prod_nat_num) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc6468969725218530979at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc8057050257526108681at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.produc175634133007206835_int_o ((-> tptp.product_prod_int_int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.produc1016772743285680337nt_int ((-> tptp.product_prod_int_int tptp.int) tptp.int tptp.int) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc8249235968001453780nt_int ((-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.int tptp.int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc3704529784387675049_nat_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.nat tptp.nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc3610074571335452306at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.nat tptp.nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc1310100445399344235_nat_o ((-> tptp.product_prod_nat_nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc156083480235303841_num_o ((-> tptp.product_prod_nat_num Bool) tptp.nat tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.produc7820828192191229133_nat_o ((-> tptp.produc3843707927480180839at_nat Bool) tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc447603880154497357_nat_o ((-> tptp.produc1319942482725812455at_nat Bool) tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc8005341501107743676_int_o ((-> tptp.int tptp.int Bool) tptp.product_prod_int_int) Bool)
% 3.35/4.34  (declare-fun tptp.produc7926200574084438792nt_int ((-> tptp.int tptp.int tptp.int) tptp.product_prod_int_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc297006045350968285nt_int ((-> tptp.int tptp.int tptp.product_prod_int_int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc4780622933104268256_nat_o ((-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc1854806715440696265at_nat ((-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc4724772261320961782nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.produc723880050079548563nteger) tptp.produc101387210554329899nteger)
% 3.35/4.34  (declare-fun tptp.produc1928436952130685430_o_o_o ((-> Bool Bool) (-> Bool Bool) tptp.product_prod_o_o) tptp.product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.produc8070579729948654068nt_nat ((-> Bool Bool) (-> tptp.int tptp.nat) tptp.product_prod_o_int) tptp.product_prod_o_nat)
% 3.35/4.34  (declare-fun tptp.produc7071226018047599512at_nat ((-> Bool Bool) (-> tptp.nat tptp.nat) tptp.product_prod_o_nat) tptp.product_prod_o_nat)
% 3.35/4.34  (declare-fun tptp.produc3628557804203378146at_num ((-> Bool Bool) (-> tptp.nat tptp.num) tptp.product_prod_o_nat) tptp.product_prod_o_num)
% 3.35/4.34  (declare-fun tptp.produc9141321880750005618at_o_o ((-> Bool tptp.nat) (-> Bool Bool) tptp.product_prod_o_o) tptp.product_prod_nat_o)
% 3.35/4.34  (declare-fun tptp.produc6587185857518356756at_nat ((-> Bool tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_o_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc4527993685489015646at_nat ((-> Bool tptp.num) (-> tptp.nat tptp.nat) tptp.product_prod_o_nat) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.produc1802105962441033582nteger ((-> tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc3456481717235892722t_unit ((-> tptp.ref_a tptp.ref_a) (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.produc6036585564866528938nt_int ((-> tptp.int tptp.int) (-> tptp.int tptp.int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc5039722323474524658at_nat ((-> tptp.int tptp.int) (-> tptp.nat tptp.nat) tptp.product_prod_int_nat) tptp.product_prod_int_nat)
% 3.35/4.34  (declare-fun tptp.produc4404592263388028922at_rat ((-> tptp.int tptp.int) (-> tptp.nat tptp.rat) tptp.product_prod_int_nat) tptp.product_prod_int_rat)
% 3.35/4.34  (declare-fun tptp.produc5664932004629684302nt_int ((-> tptp.int tptp.nat) (-> tptp.int tptp.int) tptp.product_prod_int_int) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.produc5667422475138734578nt_nat ((-> tptp.int tptp.nat) (-> tptp.int tptp.nat) tptp.product_prod_int_int) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc2224754261294513212nt_num ((-> tptp.int tptp.nat) (-> tptp.int tptp.num) tptp.product_prod_int_int) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc8298419091753553490_nat_o ((-> tptp.int tptp.nat) (-> tptp.nat Bool) tptp.product_prod_int_nat) tptp.product_prod_nat_o)
% 3.35/4.34  (declare-fun tptp.produc4665578292728629746at_int ((-> tptp.int tptp.nat) (-> tptp.nat tptp.int) tptp.product_prod_int_nat) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.produc4668068763237680022at_nat ((-> tptp.int tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_int_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc1225400549393458656at_num ((-> tptp.int tptp.nat) (-> tptp.nat tptp.num) tptp.product_prod_int_nat) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc4032938703151184286at_rat ((-> tptp.int tptp.nat) (-> tptp.nat tptp.rat) tptp.product_prod_int_nat) tptp.product_prod_nat_rat)
% 3.35/4.34  (declare-fun tptp.produc3608230303109393468nt_nat ((-> tptp.int tptp.num) (-> tptp.int tptp.nat) tptp.product_prod_int_int) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.produc165562089265172102nt_num ((-> tptp.int tptp.num) (-> tptp.int tptp.num) tptp.product_prod_int_int) tptp.product_prod_num_num)
% 3.35/4.34  (declare-fun tptp.produc9074608839065728392_nat_o ((-> tptp.int tptp.num) (-> tptp.nat Bool) tptp.product_prod_int_nat) tptp.product_prod_num_o)
% 3.35/4.34  (declare-fun tptp.produc2608876591208338912at_nat ((-> tptp.int tptp.num) (-> tptp.nat tptp.nat) tptp.product_prod_int_nat) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.produc8248099538878400170nt_int ((-> tptp.nat Bool) (-> tptp.int tptp.int) tptp.product_prod_nat_int) tptp.product_prod_o_int)
% 3.35/4.34  (declare-fun tptp.produc8250590009387450446nt_nat ((-> tptp.nat Bool) (-> tptp.int tptp.nat) tptp.product_prod_nat_int) tptp.product_prod_o_nat)
% 3.35/4.34  (declare-fun tptp.produc4807921795543229080nt_num ((-> tptp.nat Bool) (-> tptp.int tptp.num) tptp.product_prod_nat_int) tptp.product_prod_o_num)
% 3.35/4.34  (declare-fun tptp.produc6957950696844810486_nat_o ((-> tptp.nat Bool) (-> tptp.nat Bool) tptp.product_prod_nat_nat) tptp.product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.produc7251236297486395890at_nat ((-> tptp.nat Bool) (-> tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.product_prod_o_nat)
% 3.35/4.34  (declare-fun tptp.produc8346403496959479886nt_int ((-> tptp.nat tptp.int) (-> tptp.int tptp.int) tptp.product_prod_nat_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc8348893967468530162nt_nat ((-> tptp.nat tptp.int) (-> tptp.int tptp.nat) tptp.product_prod_nat_int) tptp.product_prod_int_nat)
% 3.35/4.34  (declare-fun tptp.produc7347049785058425330at_int ((-> tptp.nat tptp.int) (-> tptp.nat tptp.int) tptp.product_prod_nat_nat) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc5477380188365894716um_int ((-> tptp.nat tptp.int) (-> tptp.num tptp.int) tptp.product_prod_nat_num) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc2001155298098703512at_o_o ((-> tptp.nat tptp.nat) (-> Bool Bool) tptp.product_prod_nat_o) tptp.product_prod_nat_o)
% 3.35/4.34  (declare-fun tptp.produc7974749936722635250nt_int ((-> tptp.nat tptp.nat) (-> tptp.int tptp.int) tptp.product_prod_nat_int) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.produc7977240407231685526nt_nat ((-> tptp.nat tptp.nat) (-> tptp.int tptp.nat) tptp.product_prod_nat_int) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc4534572193387464160nt_num ((-> tptp.nat tptp.nat) (-> tptp.int tptp.num) tptp.product_prod_nat_int) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc4787215299218314158_nat_o ((-> tptp.nat tptp.nat) (-> tptp.nat Bool) tptp.product_prod_nat_nat) tptp.product_prod_nat_o)
% 3.35/4.34  (declare-fun tptp.produc6977886695330630970at_nat ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc3535218481486409604at_num ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.num) tptp.product_prod_nat_nat) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc5108217098638100356um_nat ((-> tptp.nat tptp.nat) (-> tptp.num tptp.nat) tptp.product_prod_nat_num) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc1665548884793878990um_num ((-> tptp.nat tptp.nat) (-> tptp.num tptp.num) tptp.product_prod_nat_num) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc3264868786340801506um_o_o ((-> tptp.nat tptp.num) (-> Bool Bool) tptp.product_prod_nat_o) tptp.product_prod_num_o)
% 3.35/4.34  (declare-fun tptp.produc5918048235202344416nt_nat ((-> tptp.nat tptp.num) (-> tptp.int tptp.nat) tptp.product_prod_nat_int) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.produc4918694523301289860at_nat ((-> tptp.nat tptp.num) (-> tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.produc1476026309457068494at_num ((-> tptp.nat tptp.num) (-> tptp.nat tptp.num) tptp.product_prod_nat_nat) tptp.product_prod_num_num)
% 3.35/4.34  (declare-fun tptp.produc8746822746284154874nt_int ((-> tptp.nat tptp.rat) (-> tptp.int tptp.int) tptp.product_prod_nat_int) tptp.product_prod_rat_int)
% 3.35/4.34  (declare-fun tptp.produc8749313216793205150nt_nat ((-> tptp.nat tptp.rat) (-> tptp.int tptp.nat) tptp.product_prod_nat_int) tptp.product_prod_rat_nat)
% 3.35/4.34  (declare-fun tptp.produc170006858110003436at_nat ((-> tptp.nat tptp.set_Pr1261947904930325089at_nat) (-> tptp.num tptp.set_Pr1261947904930325089at_nat) tptp.product_prod_nat_num) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc8319293927732033832at_nat ((-> tptp.num Bool) (-> tptp.nat tptp.nat) tptp.product_prod_num_nat) tptp.product_prod_o_nat)
% 3.35/4.34  (declare-fun tptp.produc4208724500416182148at_nat ((-> tptp.num tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_num_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc2149532328386841038at_nat ((-> tptp.num tptp.num) (-> tptp.nat tptp.nat) tptp.product_prod_num_nat) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.produc3932168101365401472at_num ((-> tptp.set_Pr1261947904930325089at_nat tptp.nat) (-> tptp.set_Pr1261947904930325089at_nat tptp.num) tptp.produc3843707927480180839at_nat) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc1547070076189439812at_rat ((-> tptp.char tptp.char) (-> tptp.nat tptp.rat) tptp.produc3922234789054302210ar_nat) tptp.produc414006230660905482ar_rat)
% 3.35/4.34  (declare-fun tptp.produc8759894717825771837t_char ((-> tptp.char tptp.char) (-> tptp.nat tptp.char) tptp.produc3922234789054302210ar_nat) tptp.produc143505574896075907r_char)
% 3.35/4.34  (declare-fun tptp.produc1863155021832019360at_int ((-> tptp.char tptp.char) (-> tptp.rat tptp.int) tptp.produc414006230660905482ar_rat) tptp.produc8967755806399881310ar_int)
% 3.35/4.34  (declare-fun tptp.produc1865645492341069636at_nat ((-> tptp.char tptp.char) (-> tptp.rat tptp.nat) tptp.produc414006230660905482ar_rat) tptp.produc3922234789054302210ar_nat)
% 3.35/4.34  (declare-fun tptp.produc1230515432254573900at_rat ((-> tptp.char tptp.char) (-> tptp.rat tptp.rat) tptp.produc414006230660905482ar_rat) tptp.produc414006230660905482ar_rat)
% 3.35/4.34  (declare-fun tptp.produc5432746246116964165t_char ((-> tptp.char tptp.char) (-> tptp.rat tptp.char) tptp.produc414006230660905482ar_rat) tptp.produc143505574896075907r_char)
% 3.35/4.34  (declare-fun tptp.produc5842583022792146073ar_int ((-> tptp.char tptp.char) (-> tptp.char tptp.int) tptp.produc143505574896075907r_char) tptp.produc8967755806399881310ar_int)
% 3.35/4.34  (declare-fun tptp.produc5845073493301196349ar_nat ((-> tptp.char tptp.char) (-> tptp.char tptp.nat) tptp.produc143505574896075907r_char) tptp.produc3922234789054302210ar_nat)
% 3.35/4.34  (declare-fun tptp.produc5209943433214700613ar_rat ((-> tptp.char tptp.char) (-> tptp.char tptp.rat) tptp.produc143505574896075907r_char) tptp.produc414006230660905482ar_rat)
% 3.35/4.34  (declare-fun tptp.produc7830753070125841726r_char ((-> tptp.char tptp.char) (-> tptp.char tptp.char) tptp.produc143505574896075907r_char) tptp.produc143505574896075907r_char)
% 3.35/4.34  (declare-fun tptp.produc1553301316500091796er_int ((-> tptp.code_integer tptp.code_integer tptp.int) tptp.produc8923325533196201883nteger) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc1555791787009142072er_nat ((-> tptp.code_integer tptp.code_integer tptp.nat) tptp.produc8923325533196201883nteger) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc7336495610019696514er_num ((-> tptp.code_integer tptp.code_integer tptp.num) tptp.produc8923325533196201883nteger) tptp.num)
% 3.35/4.34  (declare-fun tptp.produc9125791028180074456eger_o ((-> tptp.code_integer tptp.code_integer tptp.produc6271795597528267376eger_o) tptp.produc8923325533196201883nteger) tptp.produc6271795597528267376eger_o)
% 3.35/4.34  (declare-fun tptp.produc6916734918728496179nteger ((-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc4281629032016041417nteger ((-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.produc3346328345660746739nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc4426278547552487717t_unit ((-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit) tptp.produc1799199577659733785_ref_a) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.produc4924168586796184916unit_o ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool) tptp.produc7812382424243267045t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.produc2552614499379209865t_unit ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.produc4846201513286513633_ref_a ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a) tptp.produc7812382424243267045t_unit) tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.produc2058451029528183389_ref_a ((-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a) tptp.produc7812382424243267045t_unit) tptp.produc1799199577659733785_ref_a)
% 3.35/4.34  (declare-fun tptp.produc540600059291021473eger_o ((-> tptp.int tptp.code_integer Bool) tptp.produc2963269191615333738nteger) Bool)
% 3.35/4.34  (declare-fun tptp.produc4947309494688390418_int_o ((-> tptp.int tptp.int Bool) tptp.product_prod_int_int) Bool)
% 3.35/4.34  (declare-fun tptp.produc8211389475949308722nt_int ((-> tptp.int tptp.int tptp.int) tptp.product_prod_int_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc8213879946458358998nt_nat ((-> tptp.int tptp.int tptp.nat) tptp.product_prod_int_int) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc4245557441103728435nt_int ((-> tptp.int tptp.int tptp.product_prod_int_int) tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.produc8423408460612925143nt_nat ((-> tptp.int tptp.int tptp.product_prod_int_nat) tptp.product_prod_int_int) tptp.product_prod_int_nat)
% 3.35/4.34  (declare-fun tptp.produc3246203729202673879at_int ((-> tptp.int tptp.int tptp.product_prod_nat_int) tptp.product_prod_int_int) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.produc4257766111578684402_set_o ((-> tptp.int tptp.int tptp.set_o) tptp.product_prod_int_int) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.produc73460835934605544et_int ((-> tptp.int tptp.int tptp.set_int) tptp.product_prod_int_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.produc4251311855443802252et_nat ((-> tptp.int tptp.int tptp.set_nat) tptp.product_prod_int_int) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.produc5385566376148791347nt_nat ((-> tptp.int tptp.nat tptp.product_prod_int_nat) tptp.product_prod_int_nat) tptp.product_prod_int_nat)
% 3.35/4.34  (declare-fun tptp.produc1877337817755394619nt_rat ((-> tptp.int tptp.nat tptp.product_prod_int_rat) tptp.product_prod_int_nat) tptp.product_prod_int_rat)
% 3.35/4.34  (declare-fun tptp.produc208361644738540083at_int ((-> tptp.int tptp.nat tptp.product_prod_nat_int) tptp.product_prod_int_nat) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.produc877984105854340063at_rat ((-> tptp.int tptp.nat tptp.product_prod_nat_rat) tptp.product_prod_int_nat) tptp.product_prod_nat_rat)
% 3.35/4.34  (declare-fun tptp.produc6663371796859813939nt_nat ((-> tptp.nat tptp.int tptp.product_prod_int_nat) tptp.product_prod_nat_int) tptp.product_prod_int_nat)
% 3.35/4.34  (declare-fun tptp.produc1486167065449562675at_int ((-> tptp.nat tptp.int tptp.product_prod_nat_int) tptp.product_prod_nat_int) tptp.product_prod_nat_int)
% 3.35/4.34  (declare-fun tptp.produc1169612421514696763at_int ((-> tptp.nat tptp.int tptp.product_prod_rat_int) tptp.product_prod_nat_int) tptp.product_prod_rat_int)
% 3.35/4.34  (declare-fun tptp.produc5347463441023893471at_nat ((-> tptp.nat tptp.int tptp.product_prod_rat_nat) tptp.product_prod_nat_int) tptp.product_prod_rat_nat)
% 3.35/4.34  (declare-fun tptp.produc8739625826339149834_nat_o ((-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc27273713700761075at_nat ((-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc6081775807080527818_nat_o ((-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc6840382203811409530at_int ((-> tptp.nat tptp.nat tptp.int) tptp.product_prod_nat_nat) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc2761476792215241774st_nat ((-> tptp.nat tptp.nat tptp.list_nat) tptp.product_prod_nat_nat) tptp.list_nat)
% 3.35/4.34  (declare-fun tptp.produc6842872674320459806at_nat ((-> tptp.nat tptp.nat tptp.nat) tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc2626176000494625587at_nat ((-> tptp.nat tptp.nat tptp.product_prod_nat_nat) tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc6207742614233964070at_rat ((-> tptp.nat tptp.nat tptp.rat) tptp.product_prod_nat_nat) tptp.rat)
% 3.35/4.34  (declare-fun tptp.produc59986286002894506_set_o ((-> tptp.nat tptp.nat tptp.set_o) tptp.product_prod_nat_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.produc2011625207790711856et_int ((-> tptp.nat tptp.nat tptp.set_int) tptp.product_prod_nat_nat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.produc6189476227299908564et_nat ((-> tptp.nat tptp.nat tptp.set_nat) tptp.product_prod_nat_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.produc8197505143624133779at_nat ((-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat) tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.produc4927758841916487424_num_o ((-> tptp.nat tptp.num Bool) tptp.product_prod_nat_num) Bool)
% 3.35/4.34  (declare-fun tptp.produc4970712607118878916um_int ((-> tptp.nat tptp.num tptp.int) tptp.product_prod_nat_num) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc4973203077627929192um_nat ((-> tptp.nat tptp.num tptp.nat) tptp.product_prod_nat_num) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc478579273971653890on_num ((-> tptp.nat tptp.num tptp.option_num) tptp.product_prod_nat_num) tptp.option_num)
% 3.35/4.34  (declare-fun tptp.produc8564434177180591209at_nat ((-> tptp.nat tptp.num tptp.product_prod_nat_nat) tptp.product_prod_nat_num) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc49306077274653107at_num ((-> tptp.nat tptp.num tptp.product_prod_nat_num) tptp.product_prod_nat_num) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc836176033315069408_set_o ((-> tptp.nat tptp.num tptp.set_o) tptp.product_prod_nat_num) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.produc9175805072616146554et_int ((-> tptp.nat tptp.num tptp.set_int) tptp.product_prod_nat_num) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.produc4130284055270567454et_nat ((-> tptp.nat tptp.num tptp.set_nat) tptp.product_prod_nat_num) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.produc859037500352796105at_nat ((-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat) tptp.product_prod_nat_num) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.produc4306188689235752475_int_o ((-> tptp.nat tptp.product_prod_int_int Bool) tptp.produc6945250483304103390nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.produc5864757623865647827_nat_o ((-> tptp.nat tptp.product_prod_nat_nat Bool) tptp.produc7248412053542808358at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc6857965554392702720_nat_o ((-> tptp.num tptp.nat Bool) tptp.product_prod_num_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc5219324331026901427at_num ((-> tptp.num tptp.nat tptp.product_prod_nat_num) tptp.product_prod_num_nat) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc5703948589228662326_num_o ((-> tptp.num tptp.num Bool) tptp.product_prod_num_num) Bool)
% 3.35/4.34  (declare-fun tptp.produc6665183775751917029atural ((-> tptp.pred_Product_unit tptp.produc7822875418678951345atural tptp.produc4675096598859438275atural) tptp.produc4675096598859438275atural) tptp.produc4675096598859438275atural)
% 3.35/4.34  (declare-fun tptp.produc5441891513209881465_nat_o ((-> tptp.product_prod_int_int tptp.nat Bool) tptp.produc1709102135585200056nt_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc1676490119946744748_int_o ((-> tptp.product_prod_int_int tptp.product_prod_int_int Bool) tptp.produc1219242969750017639nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.produc3235059054576640100_nat_o ((-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool) tptp.produc1522404539988722607at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc6937227050501860053_int_o ((-> tptp.product_prod_nat_nat tptp.int Bool) tptp.produc4196048018000912732at_int) Bool)
% 3.35/4.34  (declare-fun tptp.produc8758269395934548017_nat_o ((-> tptp.product_prod_nat_nat tptp.nat Bool) tptp.produc8373899037510109440at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc5031841752791441652_int_o ((-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool) tptp.produc556289286640904991nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.produc6590410687421337004_nat_o ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.produc859450856879609959at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc410239310623530412_nat_o ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.produc3843707927480180839at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc7548845685434208379at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc9020218426428501292_nat_o ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.produc1319942482725812455at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc5456455677105495163at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.product_fst_o_o (tptp.product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.product_fst_o_int (tptp.product_prod_o_int) Bool)
% 3.35/4.34  (declare-fun tptp.product_fst_o_nat (tptp.product_prod_o_nat) Bool)
% 3.35/4.34  (declare-fun tptp.produc5219655352205527288t_unit (tptp.produc3788275437394581276t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.produc8508995932063986495nteger (tptp.produc8923325533196201883nteger) tptp.code_integer)
% 3.35/4.34  (declare-fun tptp.produc1861665112190112313nteger (tptp.produc3346328345660746739nteger) tptp.code_integer)
% 3.35/4.34  (declare-fun tptp.produc2762368996035445955t_unit (tptp.produc8126358835630522215t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.produc5717040794327095847_ref_a (tptp.produc1799199577659733785_ref_a) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.produc473321116828791851t_unit (tptp.produc7812382424243267045t_unit) tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.produc6942380573175061695_ref_a (tptp.produc5288414631154139675_ref_a) tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.product_fst_int_o (tptp.product_prod_int_o) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc45500017171379470nteger (tptp.produc2963269191615333738nteger) tptp.int)
% 3.35/4.34  (declare-fun tptp.product_fst_int_int (tptp.product_prod_int_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.product_fst_int_nat (tptp.product_prod_int_nat) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc917050878549155996t_unit (tptp.produc6865911496949736918t_unit) tptp.int)
% 3.35/4.34  (declare-fun tptp.product_fst_nat_o (tptp.product_prod_nat_o) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_fst_nat_int (tptp.product_prod_nat_int) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_fst_nat_nat (tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_fst_nat_num (tptp.product_prod_nat_num) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc3800628931346975736t_unit (tptp.produc526117512892780850t_unit) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_fst_num_nat (tptp.product_prod_num_nat) tptp.num)
% 3.35/4.34  (declare-fun tptp.product_fst_num_num (tptp.product_prod_num_num) tptp.num)
% 3.35/4.34  (declare-fun tptp.produc6435950281062462810_nat_o (tptp.produc652263959640188542_nat_o) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc4619704898428564714at_int (tptp.produc4196048018000912732at_int) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc3213797794245857475at_nat (tptp.produc859450856879609959at_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc582253812616888142unit_o (tptp.produc7485711547916492274unit_o) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.produc5169466786534984090it_nat (tptp.produc600557818389255820it_nat) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.produc6963936691090040003t_unit (tptp.produc8459935480633519975t_unit) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.produc6011863565407846595at_nat (tptp.produc3843707927480180839at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.produc4486455499028916547at_nat (tptp.produc1319942482725812455at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.product_snd_o_o (tptp.product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.product_snd_o_int (tptp.product_prod_o_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.product_snd_o_nat (tptp.product_prod_o_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc2875488738488844090t_unit (tptp.produc3788275437394581276t_unit) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.produc6174133586879617921nteger (tptp.produc8923325533196201883nteger) tptp.code_integer)
% 3.35/4.34  (declare-fun tptp.produc7955729907432593271nteger (tptp.produc3346328345660746739nteger) tptp.produc8923325533196201883nteger)
% 3.35/4.34  (declare-fun tptp.produc1692618790031806469t_unit (tptp.produc8126358835630522215t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.produc6369869760173755749_ref_a (tptp.produc1799199577659733785_ref_a) tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.produc1126150082675451753t_unit (tptp.produc7812382424243267045t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.produc8185483580310833921_ref_a (tptp.produc5288414631154139675_ref_a) tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.product_snd_int_o (tptp.product_prod_int_o) Bool)
% 3.35/4.34  (declare-fun tptp.produc2153544567185597776nteger (tptp.produc2963269191615333738nteger) tptp.code_integer)
% 3.35/4.34  (declare-fun tptp.product_snd_int_int (tptp.product_prod_int_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.product_snd_int_nat (tptp.product_prod_int_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_snd_nat_o (tptp.product_prod_nat_o) Bool)
% 3.35/4.34  (declare-fun tptp.product_snd_nat_int (tptp.product_prod_nat_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.product_snd_nat_nat (tptp.product_prod_nat_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_snd_nat_num (tptp.product_prod_nat_num) tptp.num)
% 3.35/4.34  (declare-fun tptp.produc8850949007409916470t_unit (tptp.produc526117512892780850t_unit) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.product_snd_num_nat (tptp.product_prod_num_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.product_snd_num_num (tptp.product_prod_num_num) tptp.num)
% 3.35/4.34  (declare-fun tptp.produc668916169454083228_nat_o (tptp.produc652263959640188542_nat_o) Bool)
% 3.35/4.34  (declare-fun tptp.produc3064508320661873192at_int (tptp.produc4196048018000912732at_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.produc6408287024330202629at_nat (tptp.produc859450856879609959at_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.produc7461459235754980752unit_o (tptp.produc7485711547916492274unit_o) Bool)
% 3.35/4.34  (declare-fun tptp.produc996414825743149016it_nat (tptp.produc600557818389255820it_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.produc6786084904866402309t_unit (tptp.produc8459935480633519975t_unit) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.produc2937545259423399429at_nat (tptp.produc3843707927480180839at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.produc826222791318859909at_nat (tptp.produc1319942482725812455at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.produc6214465446503547763_ref_a (tptp.produc1799199577659733785_ref_a) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.produc970745769005243767t_unit (tptp.produc7812382424243267045t_unit) tptp.produc1799199577659733785_ref_a)
% 3.35/4.34  (declare-fun tptp.product_swap_int_int (tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.product_swap_nat_nat (tptp.product_prod_nat_nat) tptp.product_prod_nat_nat)
% 3.35/4.34  (declare-fun tptp.product_swap_nat_num (tptp.product_prod_nat_num) tptp.product_prod_num_nat)
% 3.35/4.34  (declare-fun tptp.product_swap_num_nat (tptp.product_prod_num_nat) tptp.product_prod_nat_num)
% 3.35/4.34  (declare-fun tptp.produc3946833401584108663at_nat (tptp.produc3843707927480180839at_nat) tptp.produc3843707927480180839at_nat)
% 3.35/4.34  (declare-fun tptp.produc5396952528824381687at_nat (tptp.produc1319942482725812455at_nat) tptp.produc1319942482725812455at_nat)
% 3.35/4.34  (declare-fun tptp.produc929334515565554804at_nat (tptp.set_nat tptp.set_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.produc3241716407206042770at_nat (tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.product_Abs_unit (Bool) tptp.product_unit)
% 3.35/4.34  (declare-fun tptp.product_Rep_unit (tptp.product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.random6974930770145893639ompred ((-> tptp.produc7822875418678951345atural tptp.produc4675096598859438275atural) tptp.produc7822875418678951345atural) tptp.produc4675096598859438275atural)
% 3.35/4.34  (declare-fun tptp.fract (tptp.int tptp.int) tptp.rat)
% 3.35/4.34  (declare-fun tptp.field_6020823756834552118ts_rat () tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.normalize (tptp.product_prod_int_int) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.quotient_of (tptp.rat) tptp.product_prod_int_int)
% 3.35/4.34  (declare-fun tptp.alloc_a (tptp.a tptp.heap_e7401611519738050253t_unit) tptp.produc7812382424243267045t_unit)
% 3.35/4.34  (declare-fun tptp.change_ref_a ((-> tptp.ref_a tptp.ref_a) tptp.ref_ref_a) tptp.heap_Heap_ref_a)
% 3.35/4.34  (declare-fun tptp.change_a ((-> tptp.a tptp.a) tptp.ref_a) tptp.heap_Heap_a)
% 3.35/4.34  (declare-fun tptp.get_ref_a (tptp.heap_e7401611519738050253t_unit tptp.ref_ref_a) tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.get_a (tptp.heap_e7401611519738050253t_unit tptp.ref_a) tptp.a)
% 3.35/4.34  (declare-fun tptp.lookup_ref_a (tptp.ref_ref_a) tptp.heap_Heap_ref_a)
% 3.35/4.34  (declare-fun tptp.lookup_a (tptp.ref_a) tptp.heap_Heap_a)
% 3.35/4.34  (declare-fun tptp.noteq_a_a (tptp.ref_a tptp.ref_a) Bool)
% 3.35/4.34  (declare-fun tptp.present_a (tptp.heap_e7401611519738050253t_unit tptp.ref_a) Bool)
% 3.35/4.34  (declare-fun tptp.ref_a2 (tptp.a) tptp.heap_Heap_ref_a)
% 3.35/4.34  (declare-fun tptp.ref_a3 (tptp.a) tptp.heap_Heap_ref_a)
% 3.35/4.34  (declare-fun tptp.set_ref_a2 (tptp.ref_ref_a tptp.ref_a tptp.heap_e7401611519738050253t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.set_a (tptp.ref_a tptp.a tptp.heap_e7401611519738050253t_unit) tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.update_a (tptp.ref_a tptp.a) tptp.heap_H6156071679106078628t_unit)
% 3.35/4.34  (declare-fun tptp.field_o (tptp.set_Product_prod_o_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.field_int (tptp.set_Pr958786334691620121nt_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.field_nat (tptp.set_Pr1261947904930325089at_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.field_4706345496283612622at_nat (tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.field_3044959742847878580at_nat (tptp.set_Pr553994874890374343at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.field_2862844103579723188at_nat (tptp.set_Pr5564308138774400199at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.field_Product_unit (tptp.set_Pr5094982260447487303t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.field_3145993188331922222at_nat (tptp.set_Pr4329608150637261639at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.field_1428494348145443988at_nat (tptp.set_Pr7459493094073627847at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.id_o2 () tptp.set_Product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.id_int2 () tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.id_nat2 () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.id_Pro2258643101195443293at_nat () tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.id_Pro5428700290092274115at_nat () tptp.set_Pr5564308138774400199at_nat)
% 3.35/4.34  (declare-fun tptp.id_set1796276052702428605at_nat () tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.id_set4888139568991089827at_nat () tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.id_on_o (tptp.set_o) tptp.set_Product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.id_on_int (tptp.set_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.id_on_nat (tptp.set_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.id_on_num (tptp.set_num) tptp.set_Pr8218934625190621173um_num)
% 3.35/4.34  (declare-fun tptp.id_on_8598933527810153430nt_int (tptp.set_Pr958786334691620121nt_int) tptp.set_Pr2560585780119916871nt_int)
% 3.35/4.34  (declare-fun tptp.id_on_2554058798563519774at_nat (tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.id_on_7869290023980668164at_nat (tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr5564308138774400199at_nat)
% 3.35/4.34  (declare-fun tptp.id_on_6713504163309144702at_nat (tptp.set_se7855581050983116737at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.id_on_3275838214495744996at_nat (tptp.set_se5479201105039950375at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.conver1062113817206378758nt_int ((-> (-> tptp.int tptp.product_prod_int_int) (-> tptp.int tptp.int) Bool) (-> tptp.int tptp.int) (-> tptp.int tptp.product_prod_int_int)) Bool)
% 3.35/4.34  (declare-fun tptp.conver1572571282669976050nt_nat ((-> (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.nat) Bool) (-> tptp.int tptp.nat) (-> tptp.int tptp.product_prod_nat_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.conver5699786650113435344nt_num ((-> (-> tptp.int tptp.product_prod_num_num) (-> tptp.int tptp.num) Bool) (-> tptp.int tptp.num) (-> tptp.int tptp.product_prod_num_num)) Bool)
% 3.35/4.34  (declare-fun tptp.conver6066198818478722162at_nat ((-> (-> tptp.list_nat tptp.product_prod_nat_nat) (-> tptp.list_nat tptp.nat) Bool) (-> tptp.list_nat tptp.nat) (-> tptp.list_nat tptp.product_prod_nat_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.conver2987682522074450438at_int ((-> (-> tptp.nat tptp.product_prod_int_int) (-> tptp.nat tptp.int) Bool) (-> tptp.nat tptp.int) (-> tptp.nat tptp.product_prod_int_int)) Bool)
% 3.35/4.34  (declare-fun tptp.conver3498139987538047730at_nat ((-> (-> tptp.nat tptp.product_prod_nat_nat) (-> tptp.nat tptp.nat) Bool) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.product_prod_nat_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.conver3229387634306789365nteger ((-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) Bool) (-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.34  (declare-fun tptp.conver6967689361887734790at_int ((-> (-> tptp.rat tptp.product_prod_int_int) (-> tptp.rat tptp.int) Bool) (-> tptp.rat tptp.int) (-> tptp.rat tptp.product_prod_int_int)) Bool)
% 3.35/4.34  (declare-fun tptp.conver7478146827351332082at_nat ((-> (-> tptp.rat tptp.product_prod_nat_nat) (-> tptp.rat tptp.nat) Bool) (-> tptp.rat tptp.nat) (-> tptp.rat tptp.product_prod_nat_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.conver1155128050257070662ar_int ((-> (-> tptp.char tptp.product_prod_int_int) (-> tptp.char tptp.int) Bool) (-> tptp.char tptp.int) (-> tptp.char tptp.product_prod_int_int)) Bool)
% 3.35/4.34  (declare-fun tptp.conver5210974729819302706ar_nat ((-> (-> tptp.char tptp.product_prod_nat_nat) (-> tptp.char tptp.nat) Bool) (-> tptp.char tptp.nat) (-> tptp.char tptp.product_prod_nat_nat)) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_o_o ((-> Bool Bool Bool) Bool Bool) Bool)
% 3.35/4.34  (declare-fun tptp.conver1462408618118490240er_int ((-> tptp.code_integer tptp.int Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.conver2101108097643427968nteger ((-> tptp.int tptp.code_integer Bool) tptp.code_integer tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_int_int ((-> tptp.int tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_int_nat ((-> tptp.int tptp.nat Bool) tptp.nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.conver1866313717161370910at_nat ((-> tptp.int tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.conver909888920752868663st_nat ((-> tptp.list_nat tptp.list_nat Bool) tptp.list_nat tptp.list_nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_nat_o ((-> tptp.nat Bool Bool) Bool tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_nat_int ((-> tptp.nat tptp.int Bool) tptp.int tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_nat_nat ((-> tptp.nat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_nat_num ((-> tptp.nat tptp.num Bool) tptp.num tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_nat_rat ((-> tptp.nat tptp.rat Bool) tptp.rat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_nat_char ((-> tptp.nat tptp.char Bool) tptp.char tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_num_nat ((-> tptp.num tptp.nat Bool) tptp.nat tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_num_num ((-> tptp.num tptp.num Bool) tptp.num tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.conver4368408235330554745_ref_a ((-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool) tptp.ref_a tptp.produc7812382424243267045t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.conver7247880940930113968nt_int ((-> tptp.product_prod_int_int tptp.int Bool) tptp.int tptp.product_prod_int_int) Bool)
% 3.35/4.34  (declare-fun tptp.conver4689305806000247544at_int ((-> tptp.product_prod_nat_nat tptp.int Bool) tptp.int tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.conver4691796276509297820at_nat ((-> tptp.product_prod_nat_nat tptp.nat Bool) tptp.nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.conver6965824823119931701at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_rat_int ((-> tptp.rat tptp.int Bool) tptp.int tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_rat_nat ((-> tptp.rat tptp.nat Bool) tptp.nat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_rat_rat ((-> tptp.rat tptp.rat Bool) tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_rat_char ((-> tptp.rat tptp.char Bool) tptp.char tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.conver5243090411617913141at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.conver9095369822871743413at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_char_int ((-> tptp.char tptp.int Bool) tptp.int tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_char_nat ((-> tptp.char tptp.nat Bool) tptp.nat tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_char_rat ((-> tptp.char tptp.rat Bool) tptp.rat tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.conversep_char_char ((-> tptp.char tptp.char Bool) tptp.char tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.inv_image_int_int (tptp.set_Pr958786334691620121nt_int (-> tptp.int tptp.int)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.inv_image_int_nat (tptp.set_Pr958786334691620121nt_int (-> tptp.nat tptp.int)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.inv_im8510909985083594081at_nat (tptp.set_Pr958786334691620121nt_int (-> tptp.set_Pr1261947904930325089at_nat tptp.int)) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.inv_image_nat_int (tptp.set_Pr1261947904930325089at_nat (-> tptp.int tptp.nat)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.inv_image_nat_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.nat tptp.nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.inv_im6750873321330482877at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.nat)) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.inv_im2354225701593503139at_nat (tptp.set_Pr1261947904930325089at_nat (-> tptp.set_Pr4329608150637261639at_nat tptp.nat)) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.inv_im4434751243573137211at_int (tptp.set_Pr4329608150637261639at_nat (-> tptp.int tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.inv_im4437241714082187487at_nat (tptp.set_Pr4329608150637261639at_nat (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.inv_im7023619800666061458at_nat (tptp.set_Pr4329608150637261639at_nat (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.inv_im2900519150384625825at_int (tptp.set_Pr7459493094073627847at_nat (-> tptp.int tptp.set_Pr4329608150637261639at_nat)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.inv_im2903009620893676101at_nat (tptp.set_Pr7459493094073627847at_nat (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.refl_on_o (tptp.set_o tptp.set_Product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.refl_on_int (tptp.set_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.refl_on_nat (tptp.set_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.refl_o7122697186039111552at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.refl_o7446464703481863270at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.refl_on_Product_unit (tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.refl_o6955724340487615712at_nat (tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.refl_o6272981002401706822at_nat (tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1820845089908643850nteger ((-> (-> tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) Bool) (-> (-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool) (-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom7212586982944386682nteger ((-> (-> tptp.int tptp.int) (-> tptp.int tptp.int) Bool) (-> (-> tptp.int tptp.int) (-> tptp.code_integer tptp.code_integer) Bool) (-> tptp.int tptp.int) (-> tptp.code_integer tptp.code_integer)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom6733878598652036755nt_int ((-> (-> tptp.int tptp.int) (-> tptp.int tptp.product_prod_int_int) Bool) (-> (-> tptp.int tptp.product_prod_int_int) (-> tptp.int tptp.int) Bool) (-> tptp.int tptp.int) (-> tptp.int tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom2406850561174050523nt_nat ((-> (-> tptp.int tptp.nat) (-> tptp.int tptp.product_prod_nat_nat) Bool) (-> (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.nat) Bool) (-> tptp.int tptp.nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1848932251921554756er_num ((-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> tptp.code_integer tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom7779292856395800339nt_num ((-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> (-> tptp.code_integer tptp.num) (-> tptp.int tptp.num) Bool) (-> tptp.int tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1533066287727470739er_num ((-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num) Bool) (-> tptp.int tptp.num) (-> tptp.code_integer tptp.num)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom9025577121137075810nt_num ((-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> (-> tptp.int tptp.num) (-> tptp.int tptp.num) Bool) (-> tptp.int tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1697847500783689711nt_num ((-> (-> tptp.int tptp.num) (-> tptp.int tptp.product_prod_num_num) Bool) (-> (-> tptp.int tptp.product_prod_num_num) (-> tptp.int tptp.num) Bool) (-> tptp.int tptp.num) (-> tptp.int tptp.num)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom2127790875031262553er_int ((-> (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.int tptp.product_prod_nat_nat) Bool) (-> (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.code_integer tptp.int) Bool) (-> tptp.int tptp.product_prod_nat_nat) (-> tptp.code_integer tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom5920149085449455271at_nat ((-> (-> tptp.list_nat tptp.nat) (-> tptp.list_nat tptp.product_prod_nat_nat) Bool) (-> (-> tptp.list_nat tptp.product_prod_nat_nat) (-> tptp.list_nat tptp.nat) Bool) (-> tptp.list_nat tptp.nat) (-> tptp.list_nat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3290293904592725231at_int ((-> (-> tptp.nat tptp.int) (-> tptp.nat tptp.product_prod_int_int) Bool) (-> (-> tptp.nat tptp.product_prod_int_int) (-> tptp.nat tptp.int) Bool) (-> tptp.nat tptp.int) (-> tptp.nat tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8186637903969514807at_nat ((-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.product_prod_nat_nat) Bool) (-> (-> tptp.nat tptp.product_prod_nat_nat) (-> tptp.nat tptp.nat) Bool) (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom458776940982682326nteger ((-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) Bool) (-> (-> tptp.code_integer tptp.code_integer) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom4829277440228594702nteger ((-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) Bool) (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer Bool) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcom4574826104943343961nteger ((-> (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.product_prod_nat_nat tptp.int) Bool) (-> (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.code_integer) Bool) (-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.code_integer)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom4272412204205018633nt_nat ((-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> (-> tptp.int tptp.nat) (-> tptp.int tptp.nat) Bool) (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom531901107642208332nt_nat ((-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.product_prod_nat_nat tptp.nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat) Bool) (-> tptp.product_prod_nat_nat tptp.nat) (-> tptp.int tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom4982215633375716084nt_int ((-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool) (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom2810802720173317863at_int ((-> (-> tptp.rat tptp.int) (-> tptp.rat tptp.product_prod_int_int) Bool) (-> (-> tptp.rat tptp.product_prod_int_int) (-> tptp.rat tptp.int) Bool) (-> tptp.rat tptp.int) (-> tptp.rat tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom7707146719550107439at_nat ((-> (-> tptp.rat tptp.nat) (-> tptp.rat tptp.product_prod_nat_nat) Bool) (-> (-> tptp.rat tptp.product_prod_nat_nat) (-> tptp.rat tptp.nat) Bool) (-> tptp.rat tptp.nat) (-> tptp.rat tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom4417706183330134766ar_int ((-> (-> tptp.char tptp.int) (-> tptp.char tptp.product_prod_int_int) Bool) (-> (-> tptp.char tptp.product_prod_int_int) (-> tptp.char tptp.int) Bool) (-> tptp.char tptp.int) (-> tptp.char tptp.int)) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8141925468094106422ar_nat ((-> (-> tptp.char tptp.nat) (-> tptp.char tptp.product_prod_nat_nat) Bool) (-> (-> tptp.char tptp.product_prod_nat_nat) (-> tptp.char tptp.nat) Bool) (-> tptp.char tptp.nat) (-> tptp.char tptp.nat)) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_o_o_o ((-> Bool Bool Bool) (-> Bool Bool Bool) Bool Bool) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_o_o_nat ((-> Bool Bool Bool) (-> Bool tptp.nat Bool) Bool tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom692387321444912665nteger ((-> tptp.code_integer tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.code_integer tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3789353511612409832nt_int ((-> tptp.code_integer tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.code_integer tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3136146828236442456t_unit ((-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool) (-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool) tptp.ref_a tptp.heap_e7401611519738050253t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8320293257703906841nteger ((-> tptp.int tptp.code_integer Bool) (-> tptp.code_integer tptp.code_integer Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcom328798225758222312er_int ((-> tptp.int tptp.code_integer Bool) (-> tptp.code_integer tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom967497705283160040nteger ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.int tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_int_int_int ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_int_int_nat ((-> tptp.int tptp.int Bool) (-> tptp.int tptp.nat Bool) tptp.int tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_int_nat_int ((-> tptp.int tptp.nat Bool) (-> tptp.nat tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_int_nat_num ((-> tptp.int tptp.nat Bool) (-> tptp.nat tptp.num Bool) tptp.int tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3664783465810776136nt_int ((-> tptp.int tptp.product_prod_int_int Bool) (-> tptp.product_prod_int_int tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1106208330880909712at_int ((-> tptp.int tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.int tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom716700242784427165at_nat ((-> tptp.int tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.int tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom7887202796854296604nteger ((-> tptp.list_nat tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.list_nat tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8030397737370142931st_nat ((-> tptp.list_nat tptp.list_nat Bool) (-> tptp.list_nat tptp.list_nat Bool) tptp.list_nat tptp.list_nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom170568170053003356at_int ((-> tptp.list_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.list_nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_o_o ((-> tptp.nat Bool Bool) (-> Bool Bool Bool) tptp.nat Bool) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_o_nat ((-> tptp.nat Bool Bool) (-> Bool tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3277315637376110988nteger ((-> tptp.nat tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.nat tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_int_int ((-> tptp.nat tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_int_nat ((-> tptp.nat tptp.int Bool) (-> tptp.int tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_nat_int ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.int Bool) tptp.nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_nat_nat ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_nat_num ((-> tptp.nat tptp.nat Bool) (-> tptp.nat tptp.num Bool) tptp.nat tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8569543703982574316at_int ((-> tptp.nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8572034174491624592at_nat ((-> tptp.nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_nat_rat_nat ((-> tptp.nat tptp.rat Bool) (-> tptp.rat tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8112501251453913252ar_nat ((-> tptp.nat tptp.char Bool) (-> tptp.char tptp.nat Bool) tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_num_nat_int ((-> tptp.num tptp.nat Bool) (-> tptp.nat tptp.int Bool) tptp.num tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_num_nat_num ((-> tptp.num tptp.nat Bool) (-> tptp.nat tptp.num Bool) tptp.num tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_num_num_num ((-> tptp.num tptp.num Bool) (-> tptp.num tptp.num Bool) tptp.num tptp.num) Bool)
% 3.35/4.34  (declare-fun tptp.relcom2949942408940504938nt_int ((-> tptp.product_prod_nat_nat tptp.int Bool) (-> tptp.int tptp.int Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8911704206367525917at_int ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.product_prod_nat_nat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom282571730187242960at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3409376902655092628nteger ((-> tptp.rat tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.rat tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_rat_int_rat ((-> tptp.rat tptp.int Bool) (-> tptp.int tptp.rat Bool) tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_rat_nat_rat ((-> tptp.rat tptp.nat Bool) (-> tptp.nat tptp.rat Bool) tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1211213461163567844at_int ((-> tptp.rat tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.rat tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcompp_rat_rat_rat ((-> tptp.rat tptp.rat Bool) (-> tptp.rat tptp.rat Bool) tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom1505247221262953652ar_rat ((-> tptp.rat tptp.char Bool) (-> tptp.char tptp.rat Bool) tptp.rat tptp.rat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom8363394528208558896at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.relcom5819909836510906509nteger ((-> tptp.char tptp.int Bool) (-> tptp.int tptp.code_integer Bool) tptp.char tptp.code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.relcom750623199913152513t_char ((-> tptp.char tptp.int Bool) (-> tptp.int tptp.char Bool) tptp.char tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.relcom6755291642603558309t_char ((-> tptp.char tptp.nat Bool) (-> tptp.nat tptp.char Bool) tptp.char tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.relcom7879471502873553579at_int ((-> tptp.char tptp.product_prod_nat_nat Bool) (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.char tptp.int) Bool)
% 3.35/4.34  (declare-fun tptp.relcom3428143170894750637t_char ((-> tptp.char tptp.rat Bool) (-> tptp.rat tptp.char Bool) tptp.char tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.relcom5872928454965100966r_char ((-> tptp.char tptp.char Bool) (-> tptp.char tptp.char Bool) tptp.char tptp.char) Bool)
% 3.35/4.34  (declare-fun tptp.total_on_o (tptp.set_o tptp.set_Product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.total_on_int (tptp.set_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.total_on_nat (tptp.set_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.total_3592101749530773125at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.total_1513685709984341995at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.total_5665700600833547665t_unit (tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.total_7212417256332265445at_nat (tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.total_5117575981256876747at_nat (tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.trans_4347625901269045472at_nat (tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.divide_divide_int (tptp.int tptp.int) tptp.int)
% 3.35/4.34  (declare-fun tptp.divide_divide_rat (tptp.rat tptp.rat) tptp.rat)
% 3.35/4.34  (declare-fun tptp.dvd_dvd_nat (tptp.nat tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.modulo_modulo_nat (tptp.nat tptp.nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.zero_n2684676970156552555ol_int (Bool) tptp.int)
% 3.35/4.34  (declare-fun tptp.collec5651646645946169514nteger ((-> (-> tptp.code_integer tptp.code_integer tptp.code_integer) Bool)) tptp.set_Co4375521073081744395nteger)
% 3.35/4.34  (declare-fun tptp.collect_int_int ((-> (-> tptp.int tptp.int) Bool)) tptp.set_int_int)
% 3.35/4.34  (declare-fun tptp.collect_int_nat ((-> (-> tptp.int tptp.nat) Bool)) tptp.set_int_nat)
% 3.35/4.34  (declare-fun tptp.collect_int_num ((-> (-> tptp.int tptp.num) Bool)) tptp.set_int_num)
% 3.35/4.34  (declare-fun tptp.collec2229320974926845999nt_int ((-> (-> tptp.int tptp.product_prod_int_int) Bool)) tptp.set_in6154042108061588260nt_int)
% 3.35/4.34  (declare-fun tptp.collec2532482545165550967at_nat ((-> (-> tptp.int tptp.product_prod_nat_nat) Bool)) tptp.set_in7748886932685137004at_nat)
% 3.35/4.34  (declare-fun tptp.collec266097228571071243um_num ((-> (-> tptp.int tptp.product_prod_num_num) Bool)) tptp.set_in3169746454734514176um_num)
% 3.35/4.34  (declare-fun tptp.collec3092956710985254339at_nat ((-> (-> tptp.list_nat tptp.product_prod_nat_nat) Bool)) tptp.set_li2168235667650531768at_nat)
% 3.35/4.34  (declare-fun tptp.collect_nat_o ((-> (-> tptp.nat Bool) Bool)) tptp.set_nat_o)
% 3.35/4.34  (declare-fun tptp.collect_nat_nat ((-> (-> tptp.nat tptp.nat) Bool)) tptp.set_nat_nat)
% 3.35/4.34  (declare-fun tptp.collec8414850927317488011nt_int ((-> (-> tptp.nat tptp.product_prod_int_int) Bool)) tptp.set_na7251125088705586816nt_int)
% 3.35/4.34  (declare-fun tptp.collec8718012497556192979at_nat ((-> (-> tptp.nat tptp.product_prod_nat_nat) Bool)) tptp.set_na8845969913329135560at_nat)
% 3.35/4.34  (declare-fun tptp.collec2521308361159233923nt_int ((-> (-> tptp.rat tptp.product_prod_int_int) Bool)) tptp.set_ra518564293221149304nt_int)
% 3.35/4.34  (declare-fun tptp.collec2824469931397938891at_nat ((-> (-> tptp.rat tptp.product_prod_nat_nat) Bool)) tptp.set_ra2113409117844698048at_nat)
% 3.35/4.34  (declare-fun tptp.collec1380656525566158922nt_int ((-> (-> tptp.char tptp.product_prod_int_int) Bool)) tptp.set_ch6383161263842509759nt_int)
% 3.35/4.34  (declare-fun tptp.collec1683818095804863890at_nat ((-> (-> tptp.char tptp.product_prod_nat_nat) Bool)) tptp.set_ch7978006088466058503at_nat)
% 3.35/4.34  (declare-fun tptp.collect_o ((-> Bool Bool)) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.collect_ref_a ((-> tptp.ref_a Bool)) tptp.set_ref_a)
% 3.35/4.34  (declare-fun tptp.collect_int ((-> tptp.int Bool)) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.collect_nat ((-> tptp.nat Bool)) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.collec3252306575900995386t_unit ((-> tptp.produc7812382424243267045t_unit Bool)) tptp.set_Pr1133966238863718811t_unit)
% 3.35/4.34  (declare-fun tptp.collec7215431352809750357nteger ((-> tptp.produc2963269191615333738nteger Bool)) tptp.set_Pr8415741480598773322nteger)
% 3.35/4.34  (declare-fun tptp.collec213857154873943460nt_int ((-> tptp.product_prod_int_int Bool)) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.collec3392354462482085612at_nat ((-> tptp.product_prod_nat_nat Bool)) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.collec4100598399430923318at_num ((-> tptp.product_prod_nat_num Bool)) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.collec5600542410287506995nt_int ((-> tptp.produc6945250483304103390nt_int Bool)) tptp.set_Pr6123067485828015636nt_int)
% 3.35/4.34  (declare-fun tptp.collec5903703980526211963at_nat ((-> tptp.produc7248412053542808358at_nat Bool)) tptp.set_Pr7717912310451564380at_nat)
% 3.35/4.34  (declare-fun tptp.collec1522684865789554998um_nat ((-> tptp.product_prod_num_nat Bool)) tptp.set_Pr3280342998896498603um_nat)
% 3.35/4.34  (declare-fun tptp.collec2230928802738392704um_num ((-> tptp.product_prod_num_num Bool)) tptp.set_Pr8218934625190621173um_num)
% 3.35/4.34  (declare-fun tptp.collec364394062568603661nt_nat ((-> tptp.produc1709102135585200056nt_nat Bool)) tptp.set_Pr2543308735921124078nt_nat)
% 3.35/4.34  (declare-fun tptp.collec7447955092554649554nt_int ((-> tptp.produc1219242969750017639nt_int Bool)) tptp.set_Pr2560585780119916871nt_int)
% 3.35/4.34  (declare-fun tptp.collec7751116662793354522at_nat ((-> tptp.produc1522404539988722607at_nat Bool)) tptp.set_Pr4155430604743465615at_nat)
% 3.35/4.34  (declare-fun tptp.collec2851339944984316337at_int ((-> tptp.produc4196048018000912732at_int Bool)) tptp.set_Pr49084382684228242at_int)
% 3.35/4.34  (declare-fun tptp.collec7029190964493513045at_nat ((-> tptp.produc8373899037510109440at_nat Bool)) tptp.set_Pr2539167527615954998at_nat)
% 3.35/4.34  (declare-fun tptp.collec6785001409445536906nt_int ((-> tptp.produc556289286640904991nt_int Bool)) tptp.set_Pr7098892610798258687nt_int)
% 3.35/4.34  (declare-fun tptp.collec7088162979684241874at_nat ((-> tptp.produc859450856879609959at_nat Bool)) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.collec6321179662152712658at_nat ((-> tptp.produc3843707927480180839at_nat Bool)) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.collec7872792499061297490at_nat ((-> tptp.produc1319942482725812455at_nat Bool)) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.collect_rat ((-> tptp.rat Bool)) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.collec5514110066124741708at_nat ((-> tptp.set_Pr1261947904930325089at_nat Bool)) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.collec4573900263915890866at_nat ((-> tptp.set_Pr4329608150637261639at_nat Bool)) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.pow_o (tptp.set_o) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.pow_int (tptp.set_int) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.pow_nat (tptp.set_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.pow_Pr3466873192417945886at_nat (tptp.set_Pr1261947904930325089at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.pow_Pr1023649790151954692at_nat (tptp.set_Pr4329608150637261639at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.pow_Product_unit (tptp.set_Product_unit) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.pow_rat (tptp.set_rat) tptp.set_set_rat)
% 3.35/4.34  (declare-fun tptp.image_o_o_set_o ((-> (-> Bool Bool) tptp.set_o) tptp.set_o_o) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_1365644804893650413_int_o ((-> (-> tptp.int tptp.int Bool) tptp.product_prod_int_int Bool) tptp.set_int_int_o) tptp.set_Pr8049984349381595834_int_o)
% 3.35/4.34  (declare-fun tptp.image_int_o_set_int ((-> (-> tptp.int Bool) tptp.set_int) tptp.set_int_o) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_6646056845087809525nt_int ((-> (-> tptp.int tptp.int) tptp.int tptp.int) tptp.set_int_int) tptp.set_int_int)
% 3.35/4.34  (declare-fun tptp.image_1600535827742230425nt_nat ((-> (-> tptp.int tptp.int) tptp.int tptp.nat) tptp.set_int_int) tptp.set_int_nat)
% 3.35/4.34  (declare-fun tptp.image_1234974663384347033nt_int ((-> (-> tptp.int tptp.nat) tptp.int tptp.int) tptp.set_int_nat) tptp.set_int_int)
% 3.35/4.34  (declare-fun tptp.image_5412825682893543741nt_nat ((-> (-> tptp.int tptp.nat) tptp.int tptp.nat) tptp.set_int_nat) tptp.set_int_nat)
% 3.35/4.34  (declare-fun tptp.image_1904597124500147013nt_rat ((-> (-> tptp.int tptp.nat) tptp.int tptp.rat) tptp.set_int_nat) tptp.set_int_rat)
% 3.35/4.34  (declare-fun tptp.image_4174709274675160035t_unit ((-> (-> tptp.int tptp.rat) tptp.product_unit) tptp.set_int_rat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_4409302170498516394t_unit ((-> (-> tptp.int tptp.char) tptp.product_unit) tptp.set_int_char) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_7429393840292777309_nat_o ((-> (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat Bool) tptp.set_nat_nat_o) tptp.set_Pr5582243495563764594_nat_o)
% 3.35/4.34  (declare-fun tptp.image_8484515203959327177_num_o ((-> (-> tptp.nat tptp.num Bool) tptp.product_prod_nat_num Bool) tptp.set_nat_num_o) tptp.set_Pr5908833319024110760_num_o)
% 3.35/4.34  (declare-fun tptp.image_nat_o_set_nat ((-> (-> tptp.nat Bool) tptp.set_nat) tptp.set_nat_o) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_5437939712159429529nt_int ((-> (-> tptp.nat tptp.int) tptp.int tptp.int) tptp.set_nat_int) tptp.set_int_int)
% 3.35/4.34  (declare-fun tptp.image_392418694813850429nt_nat ((-> (-> tptp.nat tptp.int) tptp.int tptp.nat) tptp.set_nat_int) tptp.set_int_nat)
% 3.35/4.34  (declare-fun tptp.image_26857530455967037nt_int ((-> (-> tptp.nat tptp.nat) tptp.int tptp.int) tptp.set_nat_nat) tptp.set_int_int)
% 3.35/4.34  (declare-fun tptp.image_4204708549965163745nt_nat ((-> (-> tptp.nat tptp.nat) tptp.int tptp.nat) tptp.set_nat_nat) tptp.set_int_nat)
% 3.35/4.34  (declare-fun tptp.image_696479991571767017nt_rat ((-> (-> tptp.nat tptp.nat) tptp.int tptp.rat) tptp.set_nat_nat) tptp.set_int_rat)
% 3.35/4.34  (declare-fun tptp.image_340470173791133503t_unit ((-> (-> tptp.nat tptp.rat) tptp.product_unit) tptp.set_nat_rat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_4600008085730780422t_unit ((-> (-> tptp.nat tptp.char) tptp.product_unit) tptp.set_nat_char) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_4447441447610994254nt_int ((-> (-> tptp.product_prod_int_int Bool) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr8049984349381595834_int_o) tptp.set_se6260736226359567993nt_int)
% 3.35/4.34  (declare-fun tptp.image_7124889717316225246at_nat ((-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr5582243495563764594_nat_o) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_6580737572886966642at_num ((-> (-> tptp.product_prod_nat_num Bool) tptp.set_Pr6200539531224447659at_num) tptp.set_Pr5908833319024110760_num_o) tptp.set_se4826145725398303499at_num)
% 3.35/4.34  (declare-fun tptp.image_4902389024228248874at_nat ((-> (-> tptp.produc3843707927480180839at_nat Bool) tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr7010166363911110284_nat_o) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_5694205205332509994at_nat ((-> (-> tptp.produc1319942482725812455at_nat Bool) tptp.set_Pr7459493094073627847at_nat) tptp.set_Pr7669914128964046860_nat_o) tptp.set_se7592288975875140775at_nat)
% 3.35/4.34  (declare-fun tptp.image_2910438736038083391t_unit ((-> (-> tptp.rat tptp.nat) tptp.product_unit) tptp.set_rat_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_1193274288206594871t_unit ((-> (-> tptp.rat tptp.rat) tptp.product_unit) tptp.set_rat_rat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_6940606515012899070t_unit ((-> (-> tptp.rat tptp.char) tptp.product_unit) tptp.set_rat_char) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_6226802281960588479_nat_o ((-> (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.produc3843707927480180839at_nat Bool) tptp.set_se9180647916752606350_nat_o) tptp.set_Pr7010166363911110284_nat_o)
% 3.35/4.34  (declare-fun tptp.image_5235725667318448191_nat_o ((-> (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.produc1319942482725812455at_nat Bool) tptp.set_se7255092946006855566_nat_o) tptp.set_Pr7669914128964046860_nat_o)
% 3.35/4.34  (declare-fun tptp.image_108929247839792006t_unit ((-> (-> tptp.char tptp.nat) tptp.product_unit) tptp.set_char_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_7615136836863079294t_unit ((-> (-> tptp.char tptp.rat) tptp.product_unit) tptp.set_char_rat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_8077363282794994245t_unit ((-> (-> tptp.char tptp.char) tptp.product_unit) tptp.set_char_char) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_o_o ((-> Bool Bool) tptp.set_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_o_Code_integer ((-> Bool tptp.code_integer) tptp.set_o) tptp.set_Code_integer)
% 3.35/4.34  (declare-fun tptp.image_o_int ((-> Bool tptp.int) tptp.set_o) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_o_nat ((-> Bool tptp.nat) tptp.set_o) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_3855930084881510382at_nat ((-> Bool tptp.product_prod_nat_nat) tptp.set_o) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_o_Product_unit ((-> Bool tptp.product_unit) tptp.set_o) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_o_rat ((-> Bool tptp.rat) tptp.set_o) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.image_o_set_o ((-> Bool tptp.set_o) tptp.set_o) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_o_set_int ((-> Bool tptp.set_int) tptp.set_o) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_o_set_nat ((-> Bool tptp.set_nat) tptp.set_o) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_7077428525161401678at_nat ((-> Bool tptp.set_Pr1261947904930325089at_nat) tptp.set_o) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_8493167801588156084at_nat ((-> Bool tptp.set_Pr8693737435421807431at_nat) tptp.set_o) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_2496312346330513076at_nat ((-> Bool tptp.set_Pr4329608150637261639at_nat) tptp.set_o) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_663195431845683034t_unit ((-> Bool tptp.set_Product_unit) tptp.set_o) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_o_set_rat ((-> Bool tptp.set_rat) tptp.set_o) tptp.set_set_rat)
% 3.35/4.34  (declare-fun tptp.image_o_set_char ((-> Bool tptp.set_char) tptp.set_o) tptp.set_set_char)
% 3.35/4.34  (declare-fun tptp.image_o_char ((-> Bool tptp.char) tptp.set_o) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.image_2177946750938214461nteger ((-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.set_Code_integer) tptp.set_Co726186806682698383nteger)
% 3.35/4.34  (declare-fun tptp.image_4470545334726330049nteger ((-> tptp.code_integer tptp.code_integer) tptp.set_Code_integer) tptp.set_Code_integer)
% 3.35/4.34  (declare-fun tptp.image_5570573867351727369t_unit ((-> tptp.ref_a tptp.set_he8644174446132254637t_unit) tptp.set_ref_a) tptp.set_se4612898379794543757t_unit)
% 3.35/4.34  (declare-fun tptp.image_int_o ((-> tptp.int Bool) tptp.set_int) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_int_int ((-> tptp.int tptp.int) tptp.set_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_int_nat ((-> tptp.int tptp.nat) tptp.set_int) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_int_num ((-> tptp.int tptp.num) tptp.set_int) tptp.set_num)
% 3.35/4.34  (declare-fun tptp.image_5705468584675977158nt_int ((-> tptp.int tptp.product_prod_int_int) tptp.set_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_659947567330398058nt_nat ((-> tptp.int tptp.product_prod_int_nat) tptp.set_int) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.34  (declare-fun tptp.image_8883965892284119310at_nat ((-> tptp.int tptp.product_prod_nat_nat) tptp.set_int) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_7722540232540426402um_num ((-> tptp.int tptp.product_prod_num_num) tptp.set_int) tptp.set_Pr8218934625190621173um_num)
% 3.35/4.34  (declare-fun tptp.image_5846526143423701914t_unit ((-> tptp.int tptp.product_unit) tptp.set_int) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_int_rat ((-> tptp.int tptp.rat) tptp.set_int) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.image_int_set_o ((-> tptp.int tptp.set_o) tptp.set_int) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_int_set_int ((-> tptp.int tptp.set_int) tptp.set_int) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_int_set_nat ((-> tptp.int tptp.set_nat) tptp.set_int) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_8635204845542730022nt_int ((-> tptp.int tptp.set_Pr958786334691620121nt_int) tptp.set_int) tptp.set_se6260736226359567993nt_int)
% 3.35/4.34  (declare-fun tptp.image_8938366415781434990at_nat ((-> tptp.int tptp.set_Pr1261947904930325089at_nat) tptp.set_int) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_525487068563185620at_nat ((-> tptp.int tptp.set_Pr8693737435421807431at_nat) tptp.set_int) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_8658272795163236474t_unit ((-> tptp.int tptp.set_Product_unit) tptp.set_int) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_7976474329151083847st_nat ((-> tptp.list_nat tptp.list_nat) tptp.set_list_nat) tptp.set_list_nat)
% 3.35/4.34  (declare-fun tptp.image_list_nat_nat ((-> tptp.list_nat tptp.nat) tptp.set_list_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_2795870212791037530at_nat ((-> tptp.list_nat tptp.product_prod_nat_nat) tptp.set_list_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_nat_o ((-> tptp.nat Bool) tptp.set_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_nat_int ((-> tptp.nat tptp.int) tptp.set_nat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_nat_list_nat ((-> tptp.nat tptp.list_nat) tptp.set_nat) tptp.set_list_nat)
% 3.35/4.34  (declare-fun tptp.image_nat_nat ((-> tptp.nat tptp.nat) tptp.set_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_nat_num ((-> tptp.nat tptp.num) tptp.set_nat) tptp.set_num)
% 3.35/4.34  (declare-fun tptp.image_2667626500211843362nt_int ((-> tptp.nat tptp.product_prod_int_int) tptp.set_nat) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_6845477519721040070nt_nat ((-> tptp.nat tptp.product_prod_int_nat) tptp.set_nat) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.34  (declare-fun tptp.image_3337248961327643342nt_rat ((-> tptp.nat tptp.product_prod_int_rat) tptp.set_nat) tptp.set_Pr6292255179000445125nt_rat)
% 3.35/4.34  (declare-fun tptp.image_5846123807819985514at_nat ((-> tptp.nat tptp.product_prod_nat_nat) tptp.set_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_3276603626957510736at_nat ((-> tptp.nat tptp.produc859450856879609959at_nat) tptp.set_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.image_3978134465758882403it_nat ((-> tptp.nat tptp.produc600557818389255820it_nat) tptp.set_nat) tptp.set_Pr1763845938948868674it_nat)
% 3.35/4.34  (declare-fun tptp.image_469905907365485675it_rat ((-> tptp.nat tptp.produc6315701296850634900it_rat) tptp.set_nat) tptp.set_Pr4607231638325966922it_rat)
% 3.35/4.34  (declare-fun tptp.image_1351718144375922894at_int ((-> tptp.nat tptp.product_prod_rat_int) tptp.set_nat) tptp.set_Pr3594552606344371909at_int)
% 3.35/4.34  (declare-fun tptp.image_5529569163885119602at_nat ((-> tptp.nat tptp.product_prod_rat_nat) tptp.set_nat) tptp.set_Pr6084635751276098665at_nat)
% 3.35/4.34  (declare-fun tptp.image_2021340605491722874at_rat ((-> tptp.nat tptp.product_prod_rat_rat) tptp.set_nat) tptp.set_Pr8928021450653196913at_rat)
% 3.35/4.34  (declare-fun tptp.image_2499013659892586576at_nat ((-> tptp.nat tptp.produc3843707927480180839at_nat) tptp.set_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.image_8730104196221521654t_unit ((-> tptp.nat tptp.product_unit) tptp.set_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_nat_rat ((-> tptp.nat tptp.rat) tptp.set_nat) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.image_nat_set_o ((-> tptp.nat tptp.set_o) tptp.set_nat) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_nat_set_int ((-> tptp.nat tptp.set_int) tptp.set_nat) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_nat_set_nat ((-> tptp.nat tptp.set_nat) tptp.set_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_7178329752028323786at_nat ((-> tptp.nat tptp.set_Pr1261947904930325089at_nat) tptp.set_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_2893549341467670548at_num ((-> tptp.nat tptp.set_Pr6200539531224447659at_num) tptp.set_nat) tptp.set_se4826145725398303499at_num)
% 3.35/4.34  (declare-fun tptp.image_4592875511192039216at_nat ((-> tptp.nat tptp.set_Pr8693737435421807431at_nat) tptp.set_nat) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_1087905878993176368at_nat ((-> tptp.nat tptp.set_Pr4329608150637261639at_nat) tptp.set_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_4824033694279209942t_unit ((-> tptp.nat tptp.set_Product_unit) tptp.set_nat) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_nat_set_rat ((-> tptp.nat tptp.set_rat) tptp.set_nat) tptp.set_set_rat)
% 3.35/4.34  (declare-fun tptp.image_nat_set_char ((-> tptp.nat tptp.set_char) tptp.set_nat) tptp.set_set_char)
% 3.35/4.34  (declare-fun tptp.image_nat_char ((-> tptp.nat tptp.char) tptp.set_nat) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.image_678696785212003926at_nat ((-> tptp.nat tptp.sum_sum_nat_nat) tptp.set_nat) tptp.set_Sum_sum_nat_nat)
% 3.35/4.34  (declare-fun tptp.image_num_o ((-> tptp.num Bool) tptp.set_num) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_num_int ((-> tptp.num tptp.int) tptp.set_num) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_num_nat ((-> tptp.num tptp.nat) tptp.set_num) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_num_num ((-> tptp.num tptp.num) tptp.set_num) tptp.set_num)
% 3.35/4.34  (declare-fun tptp.image_4778453735051108682at_num ((-> tptp.num tptp.set_Pr6200539531224447659at_num) tptp.set_num) tptp.set_se4826145725398303499at_num)
% 3.35/4.34  (declare-fun tptp.image_7896445794123959606_o_o_o ((-> tptp.product_prod_o_o Bool) tptp.set_Product_prod_o_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_8105710389281276538_nat_o ((-> tptp.product_prod_o_nat Bool) tptp.set_Pr2101469702781467981_o_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_4888532181312399726at_nat ((-> tptp.product_prod_o_nat tptp.nat) tptp.set_Pr2101469702781467981_o_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_8742399529945250561unit_o ((-> tptp.produc3788275437394581276t_unit Bool) tptp.set_Pr6671815714118170108t_unit) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_4419268941131634678t_unit ((-> tptp.produc3788275437394581276t_unit tptp.product_unit) tptp.set_Pr6671815714118170108t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_17660834435998945t_unit ((-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.set_Pr1133966238863718811t_unit) tptp.set_he8644174446132254637t_unit)
% 3.35/4.34  (declare-fun tptp.image_7136766188234240905_ref_a ((-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.set_Pr1133966238863718811t_unit) tptp.set_ref_a)
% 3.35/4.34  (declare-fun tptp.image_1531683682067511245nt_int ((-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int) tptp.set_Pr1133966238863718811t_unit) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_4710180989675653397at_nat ((-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat) tptp.set_Pr1133966238863718811t_unit) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_90517134139374612_o_int ((-> tptp.product_prod_int_o tptp.int) tptp.set_Pr903927857289325719_int_o) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_2135063354759101220_int_o ((-> tptp.product_prod_int_int Bool) tptp.set_Pr958786334691620121nt_int) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_5042161079198086560nt_int ((-> tptp.product_prod_int_int tptp.int) tptp.set_Pr958786334691620121nt_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_5044651549707136836nt_nat ((-> tptp.product_prod_int_int tptp.nat) tptp.set_Pr958786334691620121nt_int) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_2653370878348428101nt_int ((-> tptp.product_prod_int_int tptp.product_prod_int_int) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_6831221897857624809nt_nat ((-> tptp.product_prod_int_int tptp.product_prod_int_nat) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.34  (declare-fun tptp.image_1654017166447373545at_int ((-> tptp.product_prod_int_int tptp.product_prod_nat_int) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr7995236796853374141at_int)
% 3.35/4.34  (declare-fun tptp.image_5831868185956570253at_nat ((-> tptp.product_prod_int_int tptp.product_prod_nat_nat) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_6540112122905407959at_num ((-> tptp.product_prod_int_int tptp.product_prod_nat_num) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.image_8858061497167895027at_nat ((-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.image_6029125644611338739at_nat ((-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat) tptp.set_Pr958786334691620121nt_int) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.image_2855239504505064772at_int ((-> tptp.product_prod_int_nat tptp.int) tptp.set_Pr3448869479623346877nt_nat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_7928304878501623365nt_nat ((-> tptp.product_prod_int_nat tptp.product_prod_int_nat) tptp.set_Pr3448869479623346877nt_nat) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.34  (declare-fun tptp.image_4420076320108226637nt_rat ((-> tptp.product_prod_int_nat tptp.product_prod_int_rat) tptp.set_Pr3448869479623346877nt_nat) tptp.set_Pr6292255179000445125nt_rat)
% 3.35/4.34  (declare-fun tptp.image_2751100147091372101at_int ((-> tptp.product_prod_int_nat tptp.product_prod_nat_int) tptp.set_Pr3448869479623346877nt_nat) tptp.set_Pr7995236796853374141at_int)
% 3.35/4.34  (declare-fun tptp.image_3420722608207172081at_rat ((-> tptp.product_prod_int_nat tptp.product_prod_nat_rat) tptp.set_Pr3448869479623346877nt_nat) tptp.set_Pr4105333604307423337at_rat)
% 3.35/4.34  (declare-fun tptp.image_7716461468295075337it_int ((-> tptp.produc6865911496949736918t_unit tptp.int) tptp.set_Pr5889264611543340172t_unit) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_7478392465989118804at_o_o ((-> tptp.product_prod_nat_o Bool) tptp.set_Pr3149072824959771635_nat_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_8629803608462650132_o_nat ((-> tptp.product_prod_nat_o tptp.nat) tptp.set_Pr3149072824959771635_nat_o) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_893334214595316897nt_int ((-> tptp.product_prod_nat_int tptp.product_prod_int_int) tptp.set_Pr7995236796853374141at_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_5071185234104513605nt_nat ((-> tptp.product_prod_nat_int tptp.product_prod_int_nat) tptp.set_Pr7995236796853374141at_int) tptp.set_Pr3448869479623346877nt_nat)
% 3.35/4.34  (declare-fun tptp.image_9117352539549038149at_int ((-> tptp.product_prod_nat_int tptp.product_prod_nat_int) tptp.set_Pr7995236796853374141at_int) tptp.set_Pr7995236796853374141at_int)
% 3.35/4.34  (declare-fun tptp.image_8800797895614172237at_int ((-> tptp.product_prod_nat_int tptp.product_prod_rat_int) tptp.set_Pr7995236796853374141at_int) tptp.set_Pr3594552606344371909at_int)
% 3.35/4.34  (declare-fun tptp.image_3755276878268593137at_nat ((-> tptp.product_prod_nat_int tptp.product_prod_rat_nat) tptp.set_Pr7995236796853374141at_int) tptp.set_Pr6084635751276098665at_nat)
% 3.35/4.34  (declare-fun tptp.image_3693632289388996572_nat_o ((-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1261947904930325089at_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_2483585944268220136at_int ((-> tptp.product_prod_nat_nat tptp.int) tptp.set_Pr1261947904930325089at_nat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_2486076414777270412at_nat ((-> tptp.product_prod_nat_nat tptp.nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_1990417195239315453nt_int ((-> tptp.product_prod_nat_nat tptp.product_prod_int_int) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_5168914502847457605at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_5877158439796295311at_num ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_num) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.image_1119892238107900587at_nat ((-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.image_6169909464789311569t_unit ((-> tptp.product_prod_nat_nat tptp.product_unit) tptp.set_Pr1261947904930325089at_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_501298686397505212_set_o ((-> tptp.product_prod_nat_nat tptp.set_o) tptp.set_Pr1261947904930325089at_nat) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_15824709712370754et_nat ((-> tptp.product_prod_nat_nat tptp.set_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_5423882813909314213at_nat ((-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_5803077947706746251at_nat ((-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_121980125215734065t_unit ((-> tptp.product_prod_nat_nat tptp.set_Product_unit) tptp.set_Pr1261947904930325089at_nat) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_4451812852358507538_num_o ((-> tptp.product_prod_nat_num Bool) tptp.set_Pr6200539531224447659at_num) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_4501981038234393650um_int ((-> tptp.product_prod_nat_num tptp.int) tptp.set_Pr6200539531224447659at_num) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_4504471508743443926um_nat ((-> tptp.product_prod_nat_num tptp.nat) tptp.set_Pr6200539531224447659at_num) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_1039142661021589043nt_int ((-> tptp.product_prod_nat_num tptp.product_prod_int_int) tptp.set_Pr6200539531224447659at_num) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_4217639968629731195at_nat ((-> tptp.product_prod_nat_num tptp.product_prod_nat_nat) tptp.set_Pr6200539531224447659at_num) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_4925883905578568901at_num ((-> tptp.product_prod_nat_num tptp.product_prod_nat_num) tptp.set_Pr6200539531224447659at_num) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.image_2347970371937200581um_nat ((-> tptp.product_prod_nat_num tptp.product_prod_num_nat) tptp.set_Pr6200539531224447659at_num) tptp.set_Pr3280342998896498603um_nat)
% 3.35/4.34  (declare-fun tptp.image_2708129733610033121at_nat ((-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat) tptp.set_Pr6200539531224447659at_num) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.image_3884712837920099081it_nat ((-> tptp.produc526117512892780850t_unit tptp.nat) tptp.set_Pr4334478416066269672t_unit) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_5511522805742971924t_unit ((-> tptp.produc526117512892780850t_unit tptp.product_unit) tptp.set_Pr4334478416066269672t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_7762062833379733445at_num ((-> tptp.product_prod_num_nat tptp.product_prod_nat_num) tptp.set_Pr3280342998896498603um_nat) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.image_3275415580317762038_nat_o ((-> tptp.produc859450856879609959at_nat Bool) tptp.set_Pr8693737435421807431at_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_6160980552072806642at_nat ((-> tptp.produc859450856879609959at_nat tptp.nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_6706873702294942047at_nat ((-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_6321802852832981957at_nat ((-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.image_7637461350386011077at_nat ((-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.image_8487516615895632747t_unit ((-> tptp.produc859450856879609959at_nat tptp.product_unit) tptp.set_Pr8693737435421807431at_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_2819269535336293544et_nat ((-> tptp.produc859450856879609959at_nat tptp.set_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_1384942819424619199at_nat ((-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_6654316230217496229at_nat ((-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_3876558564303283877at_nat ((-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr8693737435421807431at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_1801747192096393899it_o_o ((-> tptp.produc7485711547916492274unit_o Bool) tptp.set_Pr5464989305201766866unit_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_4246157487713968288t_unit ((-> tptp.produc7485711547916492274unit_o tptp.product_unit) tptp.set_Pr5464989305201766866unit_o) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_6725568594985674851at_nat ((-> tptp.produc600557818389255820it_nat tptp.nat) tptp.set_Pr1763845938948868674it_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_7474191388529947450t_unit ((-> tptp.produc600557818389255820it_nat tptp.product_unit) tptp.set_Pr1763845938948868674it_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_262127665112854123t_unit ((-> tptp.produc8459935480633519975t_unit tptp.product_unit) tptp.set_Pr5094982260447487303t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_8033574621161215657at_num ((-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num) tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.image_5653576389946358725at_nat ((-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.image_960689587819713477at_nat ((-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.image_7082456443403096939t_unit ((-> tptp.produc3843707927480180839at_nat tptp.product_unit) tptp.set_Pr4329608150637261639at_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_3160451284896210088et_nat ((-> tptp.produc3843707927480180839at_nat tptp.set_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_7979982168039674559at_nat ((-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_7260680879217540773at_nat ((-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_7364710425340685989at_nat ((-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_3313167189156628421at_nat ((-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat) tptp.set_Pr7459493094073627847at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.image_2699825501378146573ar_rat ((-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat) tptp.set_Pr1413074515586503650ar_nat) tptp.set_Pr4256460214963601898ar_rat)
% 3.35/4.34  (declare-fun tptp.image_5973708714899544198r_char ((-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char) tptp.set_Pr1413074515586503650ar_nat) tptp.set_Pr3309569728657787619r_char)
% 3.35/4.34  (declare-fun tptp.image_4975014655635759961ar_int ((-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int) tptp.set_Pr4256460214963601898ar_rat) tptp.set_Pr8146363407509552702ar_int)
% 3.35/4.34  (declare-fun tptp.image_9152865675144956669ar_nat ((-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat) tptp.set_Pr4256460214963601898ar_rat) tptp.set_Pr1413074515586503650ar_nat)
% 3.35/4.34  (declare-fun tptp.image_5644637116751559941ar_rat ((-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat) tptp.set_Pr4256460214963601898ar_rat) tptp.set_Pr4256460214963601898ar_rat)
% 3.35/4.34  (declare-fun tptp.image_8036680598759533694r_char ((-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char) tptp.set_Pr4256460214963601898ar_rat) tptp.set_Pr3309569728657787619r_char)
% 3.35/4.34  (declare-fun tptp.image_6605449789044937888ar_int ((-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int) tptp.set_Pr3309569728657787619r_char) tptp.set_Pr8146363407509552702ar_int)
% 3.35/4.34  (declare-fun tptp.image_1559928771699358788ar_nat ((-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat) tptp.set_Pr3309569728657787619r_char) tptp.set_Pr1413074515586503650ar_nat)
% 3.35/4.34  (declare-fun tptp.image_7275072250160737868ar_rat ((-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat) tptp.set_Pr3309569728657787619r_char) tptp.set_Pr4256460214963601898ar_rat)
% 3.35/4.34  (declare-fun tptp.image_7676512070627423941r_char ((-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char) tptp.set_Pr3309569728657787619r_char) tptp.set_Pr3309569728657787619r_char)
% 3.35/4.34  (declare-fun tptp.image_Product_unit_o ((-> tptp.product_unit Bool) tptp.set_Product_unit) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_873079544045703924it_int ((-> tptp.product_unit tptp.int) tptp.set_Product_unit) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_875570014554754200it_nat ((-> tptp.product_unit tptp.nat) tptp.set_Product_unit) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_405062704495631173t_unit ((-> tptp.product_unit tptp.product_unit) tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_240439954468258464it_rat ((-> tptp.product_unit tptp.rat) tptp.set_Product_unit) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.image_6930536745178679216_set_o ((-> tptp.product_unit tptp.set_o) tptp.set_Product_unit) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_3995998972318789802et_int ((-> tptp.product_unit tptp.set_int) tptp.set_Product_unit) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_8173849991827986510et_nat ((-> tptp.product_unit tptp.set_nat) tptp.set_Product_unit) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_3617315916088684441at_nat ((-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat) tptp.set_Product_unit) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_7288820656315755647at_nat ((-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat) tptp.set_Product_unit) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_5172358348707908735at_nat ((-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat) tptp.set_Product_unit) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_7778121751606633509t_unit ((-> tptp.product_unit tptp.set_Product_unit) tptp.set_Product_unit) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_4665621433434589782et_rat ((-> tptp.product_unit tptp.set_rat) tptp.set_Product_unit) tptp.set_set_rat)
% 3.35/4.34  (declare-fun tptp.image_5325685772115642575t_char ((-> tptp.product_unit tptp.set_char) tptp.set_Product_unit) tptp.set_set_char)
% 3.35/4.34  (declare-fun tptp.image_7248553556944771225t_char ((-> tptp.product_unit tptp.char) tptp.set_Product_unit) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.image_rat_o ((-> tptp.rat Bool) tptp.set_rat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_rat_int ((-> tptp.rat tptp.int) tptp.set_rat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_rat_nat ((-> tptp.rat tptp.nat) tptp.set_rat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_5997455970908365082nt_int ((-> tptp.rat tptp.product_prod_int_int) tptp.set_rat) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_9175953278516507234at_nat ((-> tptp.rat tptp.product_prod_nat_nat) tptp.set_rat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_2327579789247107822t_unit ((-> tptp.rat tptp.product_unit) tptp.set_rat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_rat_rat ((-> tptp.rat tptp.rat) tptp.set_rat) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.image_rat_set_nat ((-> tptp.rat tptp.set_nat) tptp.set_rat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_rat_char ((-> tptp.rat tptp.char) tptp.set_rat) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.image_set_o_o_o ((-> tptp.set_o Bool Bool) tptp.set_set_o) tptp.set_o_o)
% 3.35/4.34  (declare-fun tptp.image_set_o_o ((-> tptp.set_o Bool) tptp.set_set_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_set_o_set_o ((-> tptp.set_o tptp.set_o) tptp.set_set_o) tptp.set_set_o)
% 3.35/4.34  (declare-fun tptp.image_set_int_int_o ((-> tptp.set_int tptp.int Bool) tptp.set_set_int) tptp.set_int_o)
% 3.35/4.34  (declare-fun tptp.image_set_int_o ((-> tptp.set_int Bool) tptp.set_set_int) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_524474410958335435et_int ((-> tptp.set_int tptp.set_int) tptp.set_set_int) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_4702325430467532143et_nat ((-> tptp.set_int tptp.set_nat) tptp.set_set_int) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_set_nat_nat_o ((-> tptp.set_nat tptp.nat Bool) tptp.set_set_nat) tptp.set_nat_o)
% 3.35/4.34  (declare-fun tptp.image_set_nat_o ((-> tptp.set_nat Bool) tptp.set_set_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_6369283972875870912t_unit ((-> tptp.set_nat tptp.product_unit) tptp.set_set_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_3739036796817536367et_int ((-> tptp.set_nat tptp.set_int) tptp.set_set_nat) tptp.set_set_int)
% 3.35/4.34  (declare-fun tptp.image_7916887816326733075et_nat ((-> tptp.set_nat tptp.set_nat) tptp.set_set_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_6521575952113991828at_nat ((-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_set_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_4408659257933336347et_rat ((-> tptp.set_nat tptp.set_rat) tptp.set_set_nat) tptp.set_set_rat)
% 3.35/4.34  (declare-fun tptp.image_4446226961036766042_int_o ((-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool) tptp.set_se6260736226359567993nt_int) tptp.set_int_int_o)
% 3.35/4.34  (declare-fun tptp.image_701744273176368580_int_o ((-> tptp.set_Pr958786334691620121nt_int Bool) tptp.set_se6260736226359567993nt_int) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_6923511907955291850_nat_o ((-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool) tptp.set_se7855581050983116737at_nat) tptp.set_nat_nat_o)
% 3.35/4.34  (declare-fun tptp.image_5253903537071781336_nat_o ((-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool) tptp.set_se7855581050983116737at_nat) tptp.set_Pr5582243495563764594_nat_o)
% 3.35/4.34  (declare-fun tptp.image_7457375456213313148_nat_o ((-> tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_se7855581050983116737at_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_5853224409075402146et_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat) tptp.set_se7855581050983116737at_nat) tptp.set_set_nat)
% 3.35/4.34  (declare-fun tptp.image_3684629450409544005at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_se7855581050983116737at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.image_6898982319499645995at_nat ((-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_se7855581050983116737at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_2055017250723459638_num_o ((-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool) tptp.set_se4826145725398303499at_num) tptp.set_nat_num_o)
% 3.35/4.34  (declare-fun tptp.image_1013614488123988933at_nat ((-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_se6425085446898223655at_nat) tptp.set_se6425085446898223655at_nat)
% 3.35/4.34  (declare-fun tptp.image_4859512832475012440_nat_o ((-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool) tptp.set_se5479201105039950375at_nat) tptp.set_Pr7010166363911110284_nat_o)
% 3.35/4.34  (declare-fun tptp.image_6595146019508340652_nat_o ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool) tptp.set_se5479201105039950375at_nat) tptp.set_se9180647916752606350_nat_o)
% 3.35/4.34  (declare-fun tptp.image_3568060456209098518_nat_o ((-> tptp.set_Pr4329608150637261639at_nat Bool) tptp.set_se5479201105039950375at_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_4303274092540115909at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_se5479201105039950375at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.image_1124969593608450885at_nat ((-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat) tptp.set_se5479201105039950375at_nat) tptp.set_se7592288975875140775at_nat)
% 3.35/4.34  (declare-fun tptp.image_5337237954834410540_nat_o ((-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool) tptp.set_se7592288975875140775at_nat) tptp.set_se7255092946006855566_nat_o)
% 3.35/4.34  (declare-fun tptp.image_4019945301284682565t_unit ((-> tptp.set_Product_unit tptp.set_Product_unit) tptp.set_set_Product_unit) tptp.set_set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_char_o ((-> tptp.char Bool) tptp.set_char) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.image_char_int ((-> tptp.char tptp.int) tptp.set_char) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.image_char_nat ((-> tptp.char tptp.nat) tptp.set_char) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.image_5204326662208377313nt_int ((-> tptp.char tptp.product_prod_int_int) tptp.set_char) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.image_8382823969816519465at_nat ((-> tptp.char tptp.product_prod_nat_nat) tptp.set_char) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.image_4337914935673063477t_unit ((-> tptp.char tptp.product_unit) tptp.set_char) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.image_char_rat ((-> tptp.char tptp.rat) tptp.set_char) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.image_char_char ((-> tptp.char tptp.char) tptp.set_char) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.image_1320371278474632150at_nat ((-> tptp.sum_sum_nat_nat tptp.nat) tptp.set_Sum_sum_nat_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.insert_o (Bool tptp.set_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.insert8563697753282147485t_unit (tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit) tptp.set_he8644174446132254637t_unit)
% 3.35/4.34  (declare-fun tptp.insert_ref_a (tptp.ref_a tptp.set_ref_a) tptp.set_ref_a)
% 3.35/4.34  (declare-fun tptp.insert_int (tptp.int tptp.set_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.insert_nat (tptp.nat tptp.set_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.insert_num (tptp.num tptp.set_num) tptp.set_num)
% 3.35/4.34  (declare-fun tptp.insert6201435330877294327od_o_o (tptp.product_prod_o_o tptp.set_Product_prod_o_o) tptp.set_Product_prod_o_o)
% 3.35/4.34  (declare-fun tptp.insert7948214739558299847_o_nat (tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat) tptp.set_Pr2101469702781467981_o_nat)
% 3.35/4.34  (declare-fun tptp.insert9112848208840649964t_unit (tptp.produc3788275437394581276t_unit tptp.set_Pr6671815714118170108t_unit) tptp.set_Pr6671815714118170108t_unit)
% 3.35/4.34  (declare-fun tptp.insert5033312907999012233nt_int (tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int) tptp.set_Pr958786334691620121nt_int)
% 3.35/4.34  (declare-fun tptp.insert2233377226759017069_nat_o (tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o) tptp.set_Pr3149072824959771635_nat_o)
% 3.35/4.34  (declare-fun tptp.insert8211810215607154385at_nat (tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.insert8920054152555992091at_num (tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num) tptp.set_Pr6200539531224447659at_num)
% 3.35/4.34  (declare-fun tptp.insert6804906068341198690t_unit (tptp.produc526117512892780850t_unit tptp.set_Pr4334478416066269672t_unit) tptp.set_Pr4334478416066269672t_unit)
% 3.35/4.34  (declare-fun tptp.insert5050368324300391991at_nat (tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.insert5475735164933346999at_nat (tptp.produc349518998152878311at_nat tptp.set_Pr553994874890374343at_nat) tptp.set_Pr553994874890374343at_nat)
% 3.35/4.34  (declare-fun tptp.insert398606708087465655at_nat (tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat) tptp.set_Pr5564308138774400199at_nat)
% 3.35/4.34  (declare-fun tptp.insert3586912282507785154unit_o (tptp.produc7485711547916492274unit_o tptp.set_Pr5464989305201766866unit_o) tptp.set_Pr5464989305201766866unit_o)
% 3.35/4.34  (declare-fun tptp.insert6879346373837673660it_nat (tptp.produc600557818389255820it_nat tptp.set_Pr1763845938948868674it_nat) tptp.set_Pr1763845938948868674it_nat)
% 3.35/4.34  (declare-fun tptp.insert4616891024742550839t_unit (tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit) tptp.set_Pr5094982260447487303t_unit)
% 3.35/4.34  (declare-fun tptp.insert9069300056098147895at_nat (tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.insert291458823148189367at_nat (tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat) tptp.set_Pr7459493094073627847at_nat)
% 3.35/4.34  (declare-fun tptp.insert_Product_unit (tptp.product_unit tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.insert_rat (tptp.rat tptp.set_rat) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.insert9200635055090092081at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat) tptp.set_se7855581050983116737at_nat)
% 3.35/4.34  (declare-fun tptp.insert2290795007606087959at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat) tptp.set_se5479201105039950375at_nat)
% 3.35/4.34  (declare-fun tptp.the_elem_int (tptp.set_int) tptp.int)
% 3.35/4.34  (declare-fun tptp.the_elem_nat (tptp.set_nat) tptp.nat)
% 3.35/4.34  (declare-fun tptp.the_elem_rat (tptp.set_rat) tptp.rat)
% 3.35/4.34  (declare-fun tptp.vimage4289680085338140859nteger ((-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.set_Pr4111642102156807771nteger) tptp.set_Co726186806682698383nteger)
% 3.35/4.34  (declare-fun tptp.vimage_o_o ((-> Bool Bool) tptp.set_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage_o_nat ((-> Bool tptp.nat) tptp.set_nat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage8945963521958007626od_o_o ((-> Bool tptp.product_prod_o_o) tptp.set_Product_prod_o_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage4304346610107161470_int_o ((-> Bool tptp.product_prod_int_o) tptp.set_Pr903927857289325719_int_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage6125388955539849434_nat_o ((-> Bool tptp.product_prod_nat_o) tptp.set_Pr3149072824959771635_nat_o) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage4222377557387472176t_unit ((-> Bool tptp.product_unit) tptp.set_Product_unit) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage_o_rat ((-> Bool tptp.rat) tptp.set_rat) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage_o_char ((-> Bool tptp.char) tptp.set_char) tptp.set_o)
% 3.35/4.34  (declare-fun tptp.vimage6029918387083761651nteger ((-> tptp.code_integer tptp.code_integer tptp.code_integer) tptp.set_Co726186806682698383nteger) tptp.set_Code_integer)
% 3.35/4.34  (declare-fun tptp.vimage6839621282666897215nteger ((-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.set_Pr4111642102156807771nteger) tptp.set_Code_integer)
% 3.35/4.34  (declare-fun tptp.vimage_int_int ((-> tptp.int tptp.int) tptp.set_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.vimage_int_nat ((-> tptp.int tptp.nat) tptp.set_nat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.vimage_int_num ((-> tptp.int tptp.num) tptp.set_num) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.vimage7872673496510460816nt_int ((-> tptp.int tptp.product_prod_int_int) tptp.set_Pr958786334691620121nt_int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.vimage1827798767263827160at_nat ((-> tptp.int tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.vimage8527374361057053988at_nat ((-> tptp.list_nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_list_nat)
% 3.35/4.34  (declare-fun tptp.vimage_nat_o ((-> tptp.nat Bool) tptp.set_o) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage_nat_int ((-> tptp.nat tptp.int) tptp.set_int) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage_nat_nat ((-> tptp.nat tptp.nat) tptp.set_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage_nat_num ((-> tptp.nat tptp.num) tptp.set_num) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage5656379182745576100_o_nat ((-> tptp.nat tptp.product_prod_o_nat) tptp.set_Pr2101469702781467981_o_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage9012682431555523728nt_nat ((-> tptp.nat tptp.product_prod_int_nat) tptp.set_Pr3448869479623346877nt_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage8013328719654469172at_nat ((-> tptp.nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage6435164912253009178at_nat ((-> tptp.nat tptp.produc3843707927480180839at_nat) tptp.set_Pr4329608150637261639at_nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage4884490618288580032t_unit ((-> tptp.nat tptp.product_unit) tptp.set_Product_unit) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage_nat_rat ((-> tptp.nat tptp.rat) tptp.set_rat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage_nat_char ((-> tptp.nat tptp.char) tptp.set_char) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.vimage5436458796434496692at_num ((-> tptp.num tptp.product_prod_nat_num) tptp.set_Pr6200539531224447659at_num) tptp.set_num)
% 3.35/4.34  (declare-fun tptp.vimage6116673589273818795t_unit ((-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit) tptp.set_he8644174446132254637t_unit) tptp.set_Pr1133966238863718811t_unit)
% 3.35/4.34  (declare-fun tptp.vimage2910454108108208703_ref_a ((-> tptp.produc7812382424243267045t_unit tptp.ref_a) tptp.set_ref_a) tptp.set_Pr1133966238863718811t_unit)
% 3.35/4.34  (declare-fun tptp.vimage2444243245536687506_nat_o ((-> tptp.product_prod_nat_nat Bool) tptp.set_o) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage1024995831485383111t_unit ((-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit) tptp.set_he8644174446132254637t_unit) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage7322659125625010723_ref_a ((-> tptp.product_prod_nat_nat tptp.ref_a) tptp.set_ref_a) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage4650790856102703794at_int ((-> tptp.product_prod_nat_nat tptp.int) tptp.set_int) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage4653281326611754070at_nat ((-> tptp.product_prod_nat_nat tptp.nat) tptp.set_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage4308919176130087787t_unit ((-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit) tptp.set_Pr1133966238863718811t_unit) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage2449269961533847803at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage3104651464403166471t_unit ((-> tptp.product_prod_nat_nat tptp.product_unit) tptp.set_Product_unit) tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.vimage8808348054653608838unit_o ((-> tptp.product_unit Bool) tptp.set_o) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage6253328473476588386it_nat ((-> tptp.product_unit tptp.nat) tptp.set_nat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage508909887551888138t_unit ((-> tptp.product_unit tptp.produc3788275437394581276t_unit) tptp.set_Pr6671815714118170108t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage4422279681566046568t_unit ((-> tptp.product_unit tptp.produc6865911496949736918t_unit) tptp.set_Pr5889264611543340172t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage7305857734363866308t_unit ((-> tptp.product_unit tptp.produc526117512892780850t_unit) tptp.set_Pr4334478416066269672t_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage7995052115951654139t_unit ((-> tptp.product_unit tptp.product_unit) tptp.set_Product_unit) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage5618198413390092650it_rat ((-> tptp.product_unit tptp.rat) tptp.set_rat) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage2648087219933717859t_char ((-> tptp.product_unit tptp.char) tptp.set_char) tptp.set_Product_unit)
% 3.35/4.34  (declare-fun tptp.vimage_rat_int ((-> tptp.rat tptp.int) tptp.set_int) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.vimage_rat_nat ((-> tptp.rat tptp.nat) tptp.set_nat) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.vimage2119786153496215084at_nat ((-> tptp.rat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.vimage_rat_rat ((-> tptp.rat tptp.rat) tptp.set_rat) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.vimage_rat_char ((-> tptp.rat tptp.char) tptp.set_char) tptp.set_rat)
% 3.35/4.34  (declare-fun tptp.vimage_char_int ((-> tptp.char tptp.int) tptp.set_int) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.vimage_char_nat ((-> tptp.char tptp.nat) tptp.set_nat) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.vimage8942442433166402803at_nat ((-> tptp.char tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.vimage_char_rat ((-> tptp.char tptp.rat) tptp.set_rat) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.vimage_char_char ((-> tptp.char tptp.char) tptp.set_char) tptp.set_char)
% 3.35/4.34  (declare-fun tptp.set_or1266510415728281911st_int (tptp.int tptp.int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.set_or1269000886237332187st_nat (tptp.nat tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.set_or4662586982721622107an_int (tptp.int tptp.int) tptp.set_int)
% 3.35/4.34  (declare-fun tptp.set_or4665077453230672383an_nat (tptp.nat tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.set_ord_atLeast_nat (tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.set_ord_atMost_nat (tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.set_or1210151606488870762an_nat (tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.set_ord_lessThan_nat (tptp.nat) tptp.set_nat)
% 3.35/4.34  (declare-fun tptp.comm_s629917340098488124ar_nat (tptp.char) tptp.nat)
% 3.35/4.34  (declare-fun tptp.unique3096191561947761185of_nat (tptp.nat) tptp.char)
% 3.35/4.34  (declare-fun tptp.left_t2884206969071330nteger ((-> tptp.code_integer tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_t1735413524555719857er_int ((-> tptp.code_integer tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_t2374113004080657585nteger ((-> tptp.int tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_total_int_int ((-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_t8261381459436684205at_nat ((-> tptp.int tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_t1861001511420785031at_int ((-> tptp.product_prod_nat_nat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_t5646938096895998950at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_u6156896403773009178er_int ((-> tptp.code_integer tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_u6795595883297946906nteger ((-> tptp.int tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_unique_int_int ((-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_u1182257597767569412at_nat ((-> tptp.int tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_unique_nat_nat ((-> tptp.nat tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_unique_num_num ((-> tptp.num tptp.num Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_u4005249686606446046at_int ((-> tptp.product_prod_nat_nat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.left_u7296345956935681743at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_7281159819619925802nteger ((-> tptp.int tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_total_int_int ((-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_total_nat_nat ((-> tptp.nat tptp.nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_total_num_num ((-> tptp.num tptp.num Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_1157779049177982926at_int ((-> tptp.product_prod_nat_nat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_4094035864313884895at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_5866438497372881682nteger ((-> tptp.code_integer tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_7836862732553076961er_int ((-> tptp.code_integer tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_8475562212078014689nteger ((-> tptp.int tptp.code_integer Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_unique_int_int ((-> tptp.int tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_8621877368619751767at_int ((-> tptp.product_prod_nat_nat tptp.int Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.right_1383565826979811350at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) Bool)
% 3.35/4.34  (declare-fun tptp.type_definition_o_o ((-> Bool Bool) (-> Bool Bool) tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.type_d7121381646445849148_o_nat ((-> Bool tptp.nat) (-> tptp.nat Bool) tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d3678713432601627782_o_num ((-> Bool tptp.num) (-> tptp.num Bool) tptp.set_num) Bool)
% 3.35/4.34  (declare-fun tptp.type_d6486251586359353412_o_rat ((-> Bool tptp.rat) (-> tptp.rat Bool) tptp.set_rat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d9076672964931703357o_char ((-> Bool tptp.char) (-> tptp.char Bool) tptp.set_char) Bool)
% 3.35/4.34  (declare-fun tptp.type_d8403010662121346494_int_o ((-> tptp.int Bool) (-> Bool tptp.int) tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.type_d7247357190169752966nt_int ((-> tptp.int tptp.int) (-> tptp.int tptp.int) tptp.set_int) Bool)
% 3.35/4.34  (declare-fun tptp.type_d7249847660678803242nt_nat ((-> tptp.int tptp.nat) (-> tptp.nat tptp.int) tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d7732240953928457511at_nat ((-> tptp.int tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.int) tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d1000680970699258650_nat_o ((-> tptp.nat Bool) (-> Bool tptp.nat) tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.type_d6248003478268698410at_int ((-> tptp.nat tptp.int) (-> tptp.int tptp.nat) tptp.set_int) Bool)
% 3.35/4.34  (declare-fun tptp.type_d6250493948777748686at_nat ((-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d2807825734933527320at_num ((-> tptp.nat tptp.num) (-> tptp.num tptp.nat) tptp.set_num) Bool)
% 3.35/4.34  (declare-fun tptp.type_d5615363888691252950at_rat ((-> tptp.nat tptp.rat) (-> tptp.rat tptp.nat) tptp.set_rat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d5945782884131516111t_char ((-> tptp.nat tptp.char) (-> tptp.char tptp.nat) tptp.set_char) Bool)
% 3.35/4.34  (declare-fun tptp.type_d9070036042389994064_num_o ((-> tptp.num Bool) (-> Bool tptp.num) tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.type_d4380824352085218072um_nat ((-> tptp.num tptp.nat) (-> tptp.nat tptp.num) tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d938156138240996706um_num ((-> tptp.num tptp.num) (-> tptp.num tptp.num) tptp.set_num) Bool)
% 3.35/4.34  (declare-fun tptp.type_d3745694291998722336um_rat ((-> tptp.num tptp.rat) (-> tptp.rat tptp.num) tptp.set_rat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d4396077731765706521m_char ((-> tptp.num tptp.char) (-> tptp.char tptp.num) tptp.set_char) Bool)
% 3.35/4.34  (declare-fun tptp.type_d1331861005912558337at_int ((-> tptp.product_prod_nat_nat tptp.int) (-> tptp.int tptp.product_prod_nat_nat) tptp.set_int) Bool)
% 3.35/4.34  (declare-fun tptp.type_d281131942595027436at_nat ((-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.type_d6188575255521822967unit_o ((-> tptp.product_unit Bool) (-> Bool tptp.product_unit) tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.type_d5933939304842882774at_nat ((-> tptp.rat tptp.nat) (-> tptp.nat tptp.rat) tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.accp_nat ((-> tptp.nat tptp.nat Bool) tptp.nat) Bool)
% 3.35/4.34  (declare-fun tptp.less_than () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.lex_prod_nat_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat) tptp.set_Pr8693737435421807431at_nat)
% 3.35/4.34  (declare-fun tptp.max_ex8135407076693332796at_nat (tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.min_ex6901939911449802026at_nat (tptp.set_Pr8693737435421807431at_nat) tptp.set_Pr4329608150637261639at_nat)
% 3.35/4.34  (declare-fun tptp.pred_nat () tptp.set_Pr1261947904930325089at_nat)
% 3.35/4.34  (declare-fun tptp.wf_nat (tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.wf_Pro7803398752247294826at_nat (tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member_o_o ((-> Bool Bool) tptp.set_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.member_o_nat ((-> Bool tptp.nat) tptp.set_o_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member2370919827131729009t_unit ((-> Bool tptp.product_unit) tptp.set_o_Product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member2790140394383616496nteger ((-> tptp.code_integer tptp.code_integer) tptp.set_Co726186806682698383nteger) Bool)
% 3.35/4.34  (declare-fun tptp.member254662033361028077nt_int ((-> tptp.int tptp.product_prod_int_int) tptp.set_in6154042108061588260nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.member557823603599733045at_nat ((-> tptp.int tptp.product_prod_nat_nat) tptp.set_in7748886932685137004at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member7514810323860029129um_num ((-> tptp.int tptp.product_prod_num_num) tptp.set_in3169746454734514176um_num) Bool)
% 3.35/4.34  (declare-fun tptp.member3963856813518191233at_nat ((-> tptp.list_nat tptp.product_prod_nat_nat) tptp.set_li2168235667650531768at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member_nat_int ((-> tptp.nat tptp.int) tptp.set_nat_int) Bool)
% 3.35/4.34  (declare-fun tptp.member6440191985751670089nt_int ((-> tptp.nat tptp.product_prod_int_int) tptp.set_na7251125088705586816nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.member6743353555990375057at_nat ((-> tptp.nat tptp.product_prod_nat_nat) tptp.set_na8845969913329135560at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member_rat_o ((-> tptp.rat Bool) tptp.set_rat_o) Bool)
% 3.35/4.34  (declare-fun tptp.member_rat_nat ((-> tptp.rat tptp.nat) tptp.set_rat_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member546649419593416001nt_int ((-> tptp.rat tptp.product_prod_int_int) tptp.set_ra518564293221149304nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.member849810989832120969at_nat ((-> tptp.rat tptp.product_prod_nat_nat) tptp.set_ra2113409117844698048at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member7011034171605722901t_unit ((-> tptp.rat tptp.product_unit) tptp.set_rat_Product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member_char_o ((-> tptp.char Bool) tptp.set_char_o) Bool)
% 3.35/4.34  (declare-fun tptp.member_char_nat ((-> tptp.char tptp.nat) tptp.set_char_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member2992454361780672008nt_int ((-> tptp.char tptp.product_prod_int_int) tptp.set_ch6383161263842509759nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.member3295615932019376976at_nat ((-> tptp.char tptp.product_prod_nat_nat) tptp.set_ch7978006088466058503at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member379592906918970460t_unit ((-> tptp.char tptp.product_unit) tptp.set_ch7814610555394875923t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member_o (Bool tptp.set_o) Bool)
% 3.35/4.34  (declare-fun tptp.member_Code_integer (tptp.code_integer tptp.set_Code_integer) Bool)
% 3.35/4.34  (declare-fun tptp.member242389114213480694t_unit (tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member_ref_a (tptp.ref_a tptp.set_ref_a) Bool)
% 3.35/4.34  (declare-fun tptp.member_int (tptp.int tptp.set_int) Bool)
% 3.35/4.34  (declare-fun tptp.member_nat (tptp.nat tptp.set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member_num (tptp.num tptp.set_num) Bool)
% 3.35/4.34  (declare-fun tptp.member7466972457876170832od_o_o (tptp.product_prod_o_o tptp.set_Product_prod_o_o) Bool)
% 3.35/4.34  (declare-fun tptp.member7847949116333733898_o_int (tptp.product_prod_o_int tptp.set_Pr8834758594704517033_o_int) Bool)
% 3.35/4.34  (declare-fun tptp.member2802428098988154798_o_nat (tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member7849944260330398460t_unit (tptp.produc7812382424243267045t_unit tptp.set_Pr1133966238863718811t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member4489920277610959864_int_o (tptp.product_prod_int_o tptp.set_Pr903927857289325719_int_o) Bool)
% 3.35/4.34  (declare-fun tptp.member4345257455949424659nteger (tptp.produc2963269191615333738nteger tptp.set_Pr8415741480598773322nteger) Bool)
% 3.35/4.34  (declare-fun tptp.member5262025264175285858nt_int (tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.member216504246829706758nt_nat (tptp.product_prod_int_nat tptp.set_Pr3448869479623346877nt_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member6310962623043647828_nat_o (tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o) Bool)
% 3.35/4.34  (declare-fun tptp.member4262671552274231302at_int (tptp.product_prod_nat_int tptp.set_Pr7995236796853374141at_int) Bool)
% 3.35/4.34  (declare-fun tptp.member8440522571783428010at_nat (tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member9148766508732265716at_num (tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num) Bool)
% 3.35/4.34  (declare-fun tptp.member6570852975090897396um_nat (tptp.product_prod_num_nat tptp.set_Pr3280342998896498603um_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member8566619992076573584nt_int (tptp.produc1219242969750017639nt_int tptp.set_Pr2560585780119916871nt_int) Bool)
% 3.35/4.34  (declare-fun tptp.member2200362271989506215_nat_o (tptp.produc652263959640188542_nat_o tptp.set_Pr6558897299634722526_nat_o) Bool)
% 3.35/4.34  (declare-fun tptp.member8394280151737582451at_int (tptp.produc4196048018000912732at_int tptp.set_Pr49084382684228242at_int) Bool)
% 3.35/4.34  (declare-fun tptp.member8206827879206165904at_nat (tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member6009668390874684176at_nat (tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member7821138191923116944t_unit (tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member8757157785044589968at_nat (tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member1466754251312161552at_nat (tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member_Product_unit (tptp.product_unit tptp.set_Product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member_rat (tptp.rat tptp.set_rat) Bool)
% 3.35/4.34  (declare-fun tptp.member_set_o (tptp.set_o tptp.set_set_o) Bool)
% 3.35/4.34  (declare-fun tptp.member_set_int (tptp.set_int tptp.set_set_int) Bool)
% 3.35/4.34  (declare-fun tptp.member_set_nat (tptp.set_nat tptp.set_set_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member2643936169264416010at_nat (tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member6273874620674182256at_nat (tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat) Bool)
% 3.35/4.34  (declare-fun tptp.member5877623283571906838t_unit (tptp.set_Product_unit tptp.set_set_Product_unit) Bool)
% 3.35/4.34  (declare-fun tptp.member_char (tptp.char tptp.set_char) Bool)
% 3.35/4.34  (declare-fun tptp.h () tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.h2 () tptp.heap_e7401611519738050253t_unit)
% 3.35/4.34  (declare-fun tptp.r () tptp.ref_a)
% 3.35/4.34  (declare-fun tptp.thesis () Bool)
% 3.35/4.34  (declare-fun tptp.x () tptp.a)
% 3.35/4.34  (assert (let ((_let_1 (@ (@ tptp.alloc_a tptp.x) tptp.h))) (=> (= tptp.r (@ tptp.produc473321116828791851t_unit _let_1)) (=> (= tptp.h2 (@ tptp.produc1126150082675451753t_unit _let_1)) tptp.thesis))))
% 3.35/4.34  (assert (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.ref_a2 tptp.x)) tptp.h) tptp.h2) tptp.r))
% 3.35/4.34  (assert (forall ((Prod tptp.produc7812382424243267045t_unit) (Prod2 tptp.produc7812382424243267045t_unit)) (=> (and (= (@ tptp.produc473321116828791851t_unit Prod) (@ tptp.produc473321116828791851t_unit Prod2)) (= (@ tptp.produc1126150082675451753t_unit Prod) (@ tptp.produc1126150082675451753t_unit Prod2))) (= Prod Prod2))))
% 3.35/4.34  (assert (forall ((P tptp.produc7812382424243267045t_unit) (Q tptp.produc7812382424243267045t_unit)) (=> (= (@ tptp.produc473321116828791851t_unit P) (@ tptp.produc473321116828791851t_unit Q)) (=> (= (@ tptp.produc1126150082675451753t_unit P) (@ tptp.produc1126150082675451753t_unit Q)) (= P Q)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)) (P tptp.produc7812382424243267045t_unit)) (=> (@ (@ P2 (@ tptp.produc1126150082675451753t_unit P)) (@ tptp.produc473321116828791851t_unit P)) (not (forall ((X tptp.ref_a) (Y tptp.heap_e7401611519738050253t_unit)) (not (@ (@ P2 Y) X)))))))
% 3.35/4.34  (assert (= (lambda ((Y2 tptp.produc7812382424243267045t_unit) (Z tptp.produc7812382424243267045t_unit)) (= Y2 Z)) (lambda ((S tptp.produc7812382424243267045t_unit) (T tptp.produc7812382424243267045t_unit)) (and (= (@ tptp.produc473321116828791851t_unit S) (@ tptp.produc473321116828791851t_unit T)) (= (@ tptp.produc1126150082675451753t_unit S) (@ tptp.produc1126150082675451753t_unit T))))))
% 3.35/4.34  (assert (forall ((X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit) (X3 tptp.a)) (= (@ (@ tptp.get_a (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.alloc_a X2) H))) (@ tptp.produc473321116828791851t_unit (@ (@ tptp.alloc_a X3) H))) X2)))
% 3.35/4.34  (assert (forall ((V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (V2 tptp.a)) (let ((_let_1 (@ (@ tptp.alloc_a V) H))) (= (@ (@ (@ tptp.set_a (@ tptp.produc473321116828791851t_unit _let_1)) V2) (@ tptp.produc1126150082675451753t_unit _let_1)) (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.alloc_a V2) H))))))
% 3.35/4.34  (assert (forall ((H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (V tptp.a)) (=> (@ (@ tptp.present_a H) R) (@ (@ tptp.present_a (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.alloc_a V) H))) R))))
% 3.35/4.34  (assert (forall ((H tptp.heap_e7401611519738050253t_unit) (V tptp.a)) (not (@ (@ tptp.present_a H) (@ tptp.produc473321116828791851t_unit (@ (@ tptp.alloc_a V) H))))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (X2 tptp.a) (Y3 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ tptp.set_a R))) (let ((_let_2 (@ _let_1 X2))) (= (@ _let_2 (@ (@ _let_1 Y3) H)) (@ _let_2 H))))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.get_a (@ (@ (@ tptp.set_a R) X2) H)) R) X2)))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.present_a (@ (@ (@ tptp.set_a R) V) H)) (@ tptp.present_a H))))
% 3.35/4.34  (assert (forall ((V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.ref_a2 V)) H) H2) R) (not (=> (= (@ (@ tptp.get_a H2) R) V) (=> (@ (@ tptp.present_a H2) R) (@ (@ tptp.present_a H) R)))))))
% 3.35/4.34  (assert (forall ((X2 tptp.a) (R tptp.ref_a) (X3 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ tptp.alloc_a X2))) (= (@ tptp.produc473321116828791851t_unit (@ _let_1 (@ (@ (@ tptp.set_a R) X3) H))) (@ tptp.produc473321116828791851t_unit (@ _let_1 H))))))
% 3.35/4.34  (assert (= tptp.ref_a3 tptp.ref_a2))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ (@ tptp.alloc_a V) H))) (=> (@ (@ tptp.noteq_a_a R) (@ tptp.produc473321116828791851t_unit _let_1)) (= (@ (@ tptp.get_a (@ tptp.produc1126150082675451753t_unit _let_1)) R) (@ (@ tptp.get_a H) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.a tptp.a)) (R2 tptp.ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.a)) (let ((_let_1 (@ F (@ (@ tptp.get_a H) R2)))) (=> (@ (@ (@ (@ tptp.heap_effect_a (@ (@ tptp.change_a F) R2)) H) H2) R) (not (=> (= H2 (@ (@ (@ tptp.set_a R2) _let_1) H)) (not (= R _let_1))))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (R2 tptp.ref_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F (@ (@ tptp.get_ref_a H) R2)))) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.change_ref_a F) R2)) H) H2) R) (not (=> (= H2 (@ (@ (@ tptp.set_ref_a2 R2) _let_1) H)) (not (= R _let_1))))))))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (F (-> tptp.a tptp.a)) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.a)) (let ((_let_1 (@ F (@ (@ tptp.get_a H) R)))) (=> (= H2 (@ (@ (@ tptp.set_a R) _let_1) H)) (=> (= X2 _let_1) (@ (@ (@ (@ tptp.heap_effect_a (@ (@ tptp.change_a F) R)) H) H2) X2))))))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_ref_a) (F (-> tptp.ref_a tptp.ref_a)) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (let ((_let_1 (@ F (@ (@ tptp.get_ref_a H) R)))) (=> (= H2 (@ (@ (@ tptp.set_ref_a2 R) _let_1) H)) (=> (= X2 _let_1) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.change_ref_a F) R)) H) H2) X2))))))
% 3.35/4.34  (assert (forall ((H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (V tptp.a)) (=> (@ (@ tptp.present_a H) R) (@ (@ tptp.noteq_a_a R) (@ tptp.produc473321116828791851t_unit (@ (@ tptp.alloc_a V) H))))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (S2 tptp.ref_a) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (@ (@ tptp.noteq_a_a R) S2) (= (@ (@ tptp.get_a (@ (@ (@ tptp.set_a S2) X2) H)) R) (@ (@ tptp.get_a H) R)))))
% 3.35/4.34  (assert (= tptp.ref_a2 (lambda ((V3 tptp.a)) (@ tptp.heap_heap_ref_a (@ tptp.alloc_a V3)))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.a)) (=> (@ (@ (@ (@ tptp.heap_effect_a (@ tptp.lookup_a R)) H) H2) X2) (not (=> (= H2 H) (not (= X2 (@ (@ tptp.get_a H) R))))))))
% 3.35/4.34  (assert (forall ((R tptp.ref_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.lookup_ref_a R)) H) H2) X2) (not (=> (= H2 H) (not (= X2 (@ (@ tptp.get_ref_a H) R))))))))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.a) (R tptp.ref_a)) (=> (= H2 H) (=> (= X2 (@ (@ tptp.get_a H) R)) (@ (@ (@ (@ tptp.heap_effect_a (@ tptp.lookup_a R)) H) H2) X2)))))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a) (R tptp.ref_ref_a)) (=> (= H2 H) (=> (= X2 (@ (@ tptp.get_ref_a H) R)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.lookup_ref_a R)) H) H2) X2)))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (H2 tptp.heap_e7401611519738050253t_unit) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (= (@ (@ tptp.produc6544324848051098391t_unit R) H2) (@ (@ tptp.alloc_a V) H)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.ref_a2 V)) H) H2) R))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc6369869760173755749_ref_a (@ tptp.produc970745769005243767t_unit X2)) (@ tptp.produc473321116828791851t_unit X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc1799199577659733785_ref_a)) (= (@ tptp.produc1126150082675451753t_unit (@ tptp.produc6214465446503547763_ref_a X2)) (@ tptp.produc5717040794327095847_ref_a X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc1799199577659733785_ref_a)) (= (@ tptp.produc473321116828791851t_unit (@ tptp.produc6214465446503547763_ref_a X2)) (@ tptp.produc6369869760173755749_ref_a X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc5717040794327095847_ref_a (@ tptp.produc970745769005243767t_unit X2)) (@ tptp.produc1126150082675451753t_unit X2))))
% 3.35/4.34  (assert (forall ((X1 tptp.set_Pr4329608150637261639at_nat) (X22 tptp.set_Pr4329608150637261639at_nat) (Y1 tptp.set_Pr4329608150637261639at_nat) (Y22 tptp.set_Pr4329608150637261639at_nat)) (= (= (@ (@ tptp.produc9060074326276436823at_nat X1) X22) (@ (@ tptp.produc9060074326276436823at_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 3.35/4.34  (assert (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X22 tptp.set_Pr1261947904930325089at_nat) (Y1 tptp.set_Pr1261947904930325089at_nat) (Y22 tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc2922128104949294807at_nat X1) X22) (@ (@ tptp.produc2922128104949294807at_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 3.35/4.34  (assert (forall ((X1 tptp.nat) (X22 tptp.num) (Y1 tptp.nat) (Y22 tptp.num)) (= (= (@ (@ tptp.product_Pair_nat_num X1) X22) (@ (@ tptp.product_Pair_nat_num Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 3.35/4.34  (assert (forall ((X1 tptp.nat) (X22 tptp.nat) (Y1 tptp.nat) (Y22 tptp.nat)) (= (= (@ (@ tptp.product_Pair_nat_nat X1) X22) (@ (@ tptp.product_Pair_nat_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 3.35/4.34  (assert (forall ((X1 tptp.int) (X22 tptp.int) (Y1 tptp.int) (Y22 tptp.int)) (= (= (@ (@ tptp.product_Pair_int_int X1) X22) (@ (@ tptp.product_Pair_int_int Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A2 tptp.set_Pr4329608150637261639at_nat) (B2 tptp.set_Pr4329608150637261639at_nat)) (= (= (@ (@ tptp.produc9060074326276436823at_nat A) B) (@ (@ tptp.produc9060074326276436823at_nat A2) B2)) (and (= A A2) (= B B2)))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc2922128104949294807at_nat A) B) (@ (@ tptp.produc2922128104949294807at_nat A2) B2)) (and (= A A2) (= B B2)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.num) (A2 tptp.nat) (B2 tptp.num)) (= (= (@ (@ tptp.product_Pair_nat_num A) B) (@ (@ tptp.product_Pair_nat_num A2) B2)) (and (= A A2) (= B B2)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.nat) (B2 tptp.nat)) (= (= (@ (@ tptp.product_Pair_nat_nat A) B) (@ (@ tptp.product_Pair_nat_nat A2) B2)) (and (= A A2) (= B B2)))))
% 3.35/4.34  (assert (forall ((A tptp.int) (B tptp.int) (A2 tptp.int) (B2 tptp.int)) (= (= (@ (@ tptp.product_Pair_int_int A) B) (@ (@ tptp.product_Pair_int_int A2) B2)) (and (= A A2) (= B B2)))))
% 3.35/4.34  (assert (forall ((X2 tptp.num) (Y3 tptp.nat)) (= (@ tptp.product_swap_num_nat (@ (@ tptp.product_Pair_num_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_num Y3) X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.produc5396952528824381687at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.produc9060074326276436823at_nat Y3) X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.produc3946833401584108663at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.produc2922128104949294807at_nat Y3) X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.product_swap_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.product_Pair_num_nat Y3) X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.product_swap_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_nat Y3) X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.product_swap_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.product_Pair_int_int Y3) X2))))
% 3.35/4.34  (assert (forall ((Prod tptp.produc1319942482725812455at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc4486455499028916547at_nat Prod)) (@ tptp.produc826222791318859909at_nat Prod)) Prod)))
% 3.35/4.34  (assert (forall ((Prod tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc6011863565407846595at_nat Prod)) (@ tptp.produc2937545259423399429at_nat Prod)) Prod)))
% 3.35/4.34  (assert (forall ((Prod tptp.product_prod_nat_num)) (= (@ (@ tptp.product_Pair_nat_num (@ tptp.product_fst_nat_num Prod)) (@ tptp.product_snd_nat_num Prod)) Prod)))
% 3.35/4.34  (assert (forall ((Prod tptp.product_prod_nat_nat)) (= (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_fst_nat_nat Prod)) (@ tptp.product_snd_nat_nat Prod)) Prod)))
% 3.35/4.34  (assert (forall ((Prod tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int Prod)) (@ tptp.product_snd_int_int Prod)) Prod)))
% 3.35/4.34  (assert (forall ((Prod tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc6544324848051098391t_unit (@ tptp.produc473321116828791851t_unit Prod)) (@ tptp.produc1126150082675451753t_unit Prod)) Prod)))
% 3.35/4.34  (assert (forall ((Y3 tptp.produc1319942482725812455at_nat)) (not (forall ((A3 tptp.set_Pr4329608150637261639at_nat) (B3 tptp.set_Pr4329608150637261639at_nat)) (not (= Y3 (@ (@ tptp.produc9060074326276436823at_nat A3) B3)))))))
% 3.35/4.34  (assert (forall ((Y3 tptp.produc3843707927480180839at_nat)) (not (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (not (= Y3 (@ (@ tptp.produc2922128104949294807at_nat A3) B3)))))))
% 3.35/4.34  (assert (forall ((Y3 tptp.product_prod_nat_num)) (not (forall ((A3 tptp.nat) (B3 tptp.num)) (not (= Y3 (@ (@ tptp.product_Pair_nat_num A3) B3)))))))
% 3.35/4.34  (assert (forall ((Y3 tptp.product_prod_nat_nat)) (not (forall ((A3 tptp.nat) (B3 tptp.nat)) (not (= Y3 (@ (@ tptp.product_Pair_nat_nat A3) B3)))))))
% 3.35/4.34  (assert (forall ((Y3 tptp.product_prod_int_int)) (not (forall ((A3 tptp.int) (B3 tptp.int)) (not (= Y3 (@ (@ tptp.product_Pair_int_int A3) B3)))))))
% 3.35/4.34  (assert (forall ((P tptp.produc1319942482725812455at_nat)) (exists ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (= P (@ (@ tptp.produc9060074326276436823at_nat X) Y)))))
% 3.35/4.34  (assert (forall ((P tptp.produc3843707927480180839at_nat)) (exists ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= P (@ (@ tptp.produc2922128104949294807at_nat X) Y)))))
% 3.35/4.34  (assert (forall ((P tptp.product_prod_nat_num)) (exists ((X tptp.nat) (Y tptp.num)) (= P (@ (@ tptp.product_Pair_nat_num X) Y)))))
% 3.35/4.34  (assert (forall ((P tptp.product_prod_nat_nat)) (exists ((X tptp.nat) (Y tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_nat X) Y)))))
% 3.35/4.34  (assert (forall ((P tptp.product_prod_int_int)) (exists ((X tptp.int) (Y tptp.int)) (= P (@ (@ tptp.product_Pair_int_int X) Y)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.produc1319942482725812455at_nat Bool)) (P tptp.produc1319942482725812455at_nat)) (=> (forall ((A3 tptp.set_Pr4329608150637261639at_nat) (B3 tptp.set_Pr4329608150637261639at_nat)) (@ P2 (@ (@ tptp.produc9060074326276436823at_nat A3) B3))) (@ P2 P))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.produc3843707927480180839at_nat Bool)) (P tptp.produc3843707927480180839at_nat)) (=> (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (@ P2 (@ (@ tptp.produc2922128104949294807at_nat A3) B3))) (@ P2 P))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_nat_num Bool)) (P tptp.product_prod_nat_num)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (@ P2 (@ (@ tptp.product_Pair_nat_num A3) B3))) (@ P2 P))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (@ P2 (@ (@ tptp.product_Pair_nat_nat A3) B3))) (@ P2 P))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (P tptp.product_prod_int_int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (@ P2 (@ (@ tptp.product_Pair_int_int A3) B3))) (@ P2 P))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A2 tptp.set_Pr4329608150637261639at_nat) (B2 tptp.set_Pr4329608150637261639at_nat)) (=> (= (@ (@ tptp.produc9060074326276436823at_nat A) B) (@ (@ tptp.produc9060074326276436823at_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (= (@ (@ tptp.produc2922128104949294807at_nat A) B) (@ (@ tptp.produc2922128104949294807at_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.num) (A2 tptp.nat) (B2 tptp.num)) (=> (= (@ (@ tptp.product_Pair_nat_num A) B) (@ (@ tptp.product_Pair_nat_num A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.nat) (B2 tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat A) B) (@ (@ tptp.product_Pair_nat_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 3.35/4.34  (assert (forall ((A tptp.int) (B tptp.int) (A2 tptp.int) (B2 tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int A) B) (@ (@ tptp.product_Pair_int_int A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 3.35/4.34  (assert (forall ((A tptp.produc3843707927480180839at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (= (@ (@ tptp.member8757157785044589968at_nat A) (@ tptp.collec6321179662152712658at_nat P2)) (@ P2 A))))
% 3.35/4.34  (assert (forall ((A Bool) (P2 (-> Bool Bool))) (= (@ (@ tptp.member_o A) (@ tptp.collect_o P2)) (@ P2 A))))
% 3.35/4.34  (assert (forall ((A tptp.int) (P2 (-> tptp.int Bool))) (= (@ (@ tptp.member_int A) (@ tptp.collect_int P2)) (@ P2 A))))
% 3.35/4.34  (assert (forall ((A tptp.product_prod_nat_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.member8440522571783428010at_nat A) (@ tptp.collec3392354462482085612at_nat P2)) (@ P2 A))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (P2 (-> tptp.nat Bool))) (= (@ (@ tptp.member_nat A) (@ tptp.collect_nat P2)) (@ P2 A))))
% 3.35/4.34  (assert (forall ((A tptp.product_prod_int_int) (P2 (-> tptp.product_prod_int_int Bool))) (= (@ (@ tptp.member5262025264175285858nt_int A) (@ tptp.collec213857154873943460nt_int P2)) (@ P2 A))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) A4))) A4)))
% 3.35/4.34  (assert (forall ((A4 tptp.set_o)) (= (@ tptp.collect_o (lambda ((X4 Bool)) (@ (@ tptp.member_o X4) A4))) A4)))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int)) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ (@ tptp.member_int X4) A4))) A4)))
% 3.35/4.34  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) A4))) A4)))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat)) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.member_nat X4) A4))) A4)))
% 3.35/4.34  (assert (forall ((A4 tptp.set_Pr958786334691620121nt_int)) (= (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ (@ tptp.member5262025264175285858nt_int X4) A4))) A4)))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (=> (forall ((X tptp.product_prod_nat_nat)) (= (@ P2 X) (@ Q2 X))) (= (@ tptp.collec3392354462482085612at_nat P2) (@ tptp.collec3392354462482085612at_nat Q2)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat Bool))) (=> (forall ((X tptp.nat)) (= (@ P2 X) (@ Q2 X))) (= (@ tptp.collect_nat P2) (@ tptp.collect_nat Q2)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (=> (forall ((X tptp.product_prod_int_int)) (= (@ P2 X) (@ Q2 X))) (= (@ tptp.collec213857154873943460nt_int P2) (@ tptp.collec213857154873943460nt_int Q2)))))
% 3.35/4.34  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (= (@ tptp.produc4486455499028916547at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) A) (= X2 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (= (@ tptp.produc6011863565407846595at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) A) (= X2 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (Y3 tptp.num) (A tptp.nat)) (=> (= (@ tptp.product_fst_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) A) (= X2 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (A tptp.nat)) (=> (= (@ tptp.product_fst_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) A) (= X2 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (Y3 tptp.int) (A tptp.int)) (=> (= (@ tptp.product_fst_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) A) (= X2 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.ref_a) (Y3 tptp.heap_e7401611519738050253t_unit) (A tptp.ref_a)) (=> (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc6544324848051098391t_unit X2) Y3)) A) (= X2 A))))
% 3.35/4.34  (assert (forall ((X1 tptp.set_Pr4329608150637261639at_nat) (X22 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.produc4486455499028916547at_nat (@ (@ tptp.produc9060074326276436823at_nat X1) X22)) X1)))
% 3.35/4.34  (assert (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X22 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.produc6011863565407846595at_nat (@ (@ tptp.produc2922128104949294807at_nat X1) X22)) X1)))
% 3.35/4.34  (assert (forall ((X1 tptp.nat) (X22 tptp.num)) (= (@ tptp.product_fst_nat_num (@ (@ tptp.product_Pair_nat_num X1) X22)) X1)))
% 3.35/4.34  (assert (forall ((X1 tptp.nat) (X22 tptp.nat)) (= (@ tptp.product_fst_nat_nat (@ (@ tptp.product_Pair_nat_nat X1) X22)) X1)))
% 3.35/4.34  (assert (forall ((X1 tptp.int) (X22 tptp.int)) (= (@ tptp.product_fst_int_int (@ (@ tptp.product_Pair_int_int X1) X22)) X1)))
% 3.35/4.34  (assert (forall ((X1 tptp.ref_a) (X22 tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc6544324848051098391t_unit X1) X22)) X1)))
% 3.35/4.34  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (= (@ tptp.produc826222791318859909at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) A) (= Y3 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (= (@ tptp.produc2937545259423399429at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) A) (= Y3 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (Y3 tptp.num) (A tptp.num)) (=> (= (@ tptp.product_snd_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) A) (= Y3 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (A tptp.nat)) (=> (= (@ tptp.product_snd_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) A) (= Y3 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (Y3 tptp.int) (A tptp.int)) (=> (= (@ tptp.product_snd_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) A) (= Y3 A))))
% 3.35/4.34  (assert (forall ((X2 tptp.ref_a) (Y3 tptp.heap_e7401611519738050253t_unit) (A tptp.heap_e7401611519738050253t_unit)) (=> (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc6544324848051098391t_unit X2) Y3)) A) (= Y3 A))))
% 3.35/4.34  (assert (forall ((X1 tptp.set_Pr4329608150637261639at_nat) (X22 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.produc826222791318859909at_nat (@ (@ tptp.produc9060074326276436823at_nat X1) X22)) X22)))
% 3.35/4.34  (assert (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X22 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.produc2937545259423399429at_nat (@ (@ tptp.produc2922128104949294807at_nat X1) X22)) X22)))
% 3.35/4.34  (assert (forall ((X1 tptp.nat) (X22 tptp.num)) (= (@ tptp.product_snd_nat_num (@ (@ tptp.product_Pair_nat_num X1) X22)) X22)))
% 3.35/4.34  (assert (forall ((X1 tptp.nat) (X22 tptp.nat)) (= (@ tptp.product_snd_nat_nat (@ (@ tptp.product_Pair_nat_nat X1) X22)) X22)))
% 3.35/4.34  (assert (forall ((X1 tptp.int) (X22 tptp.int)) (= (@ tptp.product_snd_int_int (@ (@ tptp.product_Pair_int_int X1) X22)) X22)))
% 3.35/4.34  (assert (forall ((X1 tptp.ref_a) (X22 tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc6544324848051098391t_unit X1) X22)) X22)))
% 3.35/4.34  (assert (= tptp.produc5396952528824381687at_nat (lambda ((P3 tptp.produc1319942482725812455at_nat)) (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc826222791318859909at_nat P3)) (@ tptp.produc4486455499028916547at_nat P3)))))
% 3.35/4.34  (assert (= tptp.produc3946833401584108663at_nat (lambda ((P3 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc2937545259423399429at_nat P3)) (@ tptp.produc6011863565407846595at_nat P3)))))
% 3.35/4.34  (assert (= tptp.product_swap_num_nat (lambda ((P3 tptp.product_prod_num_nat)) (@ (@ tptp.product_Pair_nat_num (@ tptp.product_snd_num_nat P3)) (@ tptp.product_fst_num_nat P3)))))
% 3.35/4.34  (assert (= tptp.product_swap_nat_nat (lambda ((P3 tptp.product_prod_nat_nat)) (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_snd_nat_nat P3)) (@ tptp.product_fst_nat_nat P3)))))
% 3.35/4.34  (assert (= tptp.product_swap_int_int (lambda ((P3 tptp.product_prod_int_int)) (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int P3)) (@ tptp.product_fst_int_int P3)))))
% 3.35/4.34  (assert (= tptp.produc970745769005243767t_unit (lambda ((P3 tptp.produc7812382424243267045t_unit)) (@ (@ tptp.produc2564672488694626579_ref_a (@ tptp.produc1126150082675451753t_unit P3)) (@ tptp.produc473321116828791851t_unit P3)))))
% 3.35/4.34  (assert (forall ((Prod tptp.produc1319942482725812455at_nat)) (= Prod (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc4486455499028916547at_nat Prod)) (@ tptp.produc826222791318859909at_nat Prod)))))
% 3.35/4.34  (assert (forall ((Prod tptp.produc3843707927480180839at_nat)) (= Prod (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc6011863565407846595at_nat Prod)) (@ tptp.produc2937545259423399429at_nat Prod)))))
% 3.35/4.34  (assert (forall ((Prod tptp.product_prod_nat_num)) (= Prod (@ (@ tptp.product_Pair_nat_num (@ tptp.product_fst_nat_num Prod)) (@ tptp.product_snd_nat_num Prod)))))
% 3.35/4.34  (assert (forall ((Prod tptp.product_prod_nat_nat)) (= Prod (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_fst_nat_nat Prod)) (@ tptp.product_snd_nat_nat Prod)))))
% 3.35/4.34  (assert (forall ((Prod tptp.product_prod_int_int)) (= Prod (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int Prod)) (@ tptp.product_snd_int_int Prod)))))
% 3.35/4.34  (assert (forall ((Prod tptp.produc7812382424243267045t_unit)) (= Prod (@ (@ tptp.produc6544324848051098391t_unit (@ tptp.produc473321116828791851t_unit Prod)) (@ tptp.produc1126150082675451753t_unit Prod)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (Y3 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.produc9060074326276436823at_nat X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.produc826222791318859909at_nat _let_1)) (@ tptp.produc4486455499028916547at_nat _let_1))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (Y3 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.produc2922128104949294807at_nat X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.produc2937545259423399429at_nat _let_1)) (@ tptp.produc6011863565407846595at_nat _let_1))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.num tptp.nat Bool)) (Y3 tptp.num) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_num X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.product_snd_nat_num _let_1)) (@ tptp.product_fst_nat_num _let_1))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.nat tptp.nat Bool)) (Y3 tptp.nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.product_snd_nat_nat _let_1)) (@ tptp.product_fst_nat_nat _let_1))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.int tptp.int Bool)) (Y3 tptp.int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.product_Pair_int_int X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.product_snd_int_int _let_1)) (@ tptp.product_fst_int_int _let_1))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)) (Y3 tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (let ((_let_1 (@ (@ tptp.produc6544324848051098391t_unit X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.produc1126150082675451753t_unit _let_1)) (@ tptp.produc473321116828791851t_unit _let_1))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.set_Pr4329608150637261639at_nat Bool)) (P tptp.set_Pr4329608150637261639at_nat) (Q2 (-> tptp.set_Pr4329608150637261639at_nat Bool)) (Q tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.produc9060074326276436823at_nat P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.produc4486455499028916547at_nat _let_1)) (@ Q2 (@ tptp.produc826222791318859909at_nat _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.set_Pr1261947904930325089at_nat Bool)) (P tptp.set_Pr1261947904930325089at_nat) (Q2 (-> tptp.set_Pr1261947904930325089at_nat Bool)) (Q tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.produc2922128104949294807at_nat P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.produc6011863565407846595at_nat _let_1)) (@ Q2 (@ tptp.produc2937545259423399429at_nat _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.nat Bool)) (P tptp.nat) (Q2 (-> tptp.num Bool)) (Q tptp.num)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_num P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.product_fst_nat_num _let_1)) (@ Q2 (@ tptp.product_snd_nat_num _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.nat Bool)) (P tptp.nat) (Q2 (-> tptp.nat Bool)) (Q tptp.nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.product_fst_nat_nat _let_1)) (@ Q2 (@ tptp.product_snd_nat_nat _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.int Bool)) (P tptp.int) (Q2 (-> tptp.int Bool)) (Q tptp.int)) (let ((_let_1 (@ (@ tptp.product_Pair_int_int P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.product_fst_int_int _let_1)) (@ Q2 (@ tptp.product_snd_int_int _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.ref_a Bool)) (P tptp.ref_a) (Q2 (-> tptp.heap_e7401611519738050253t_unit Bool)) (Q tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ (@ tptp.produc6544324848051098391t_unit P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.produc473321116828791851t_unit _let_1)) (@ Q2 (@ tptp.produc1126150082675451753t_unit _let_1))))))))
% 3.35/4.34  (assert (forall ((T2 tptp.produc1319942482725812455at_nat)) (= T2 (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc4486455499028916547at_nat T2)) (@ tptp.produc826222791318859909at_nat T2)))))
% 3.35/4.34  (assert (forall ((T2 tptp.produc3843707927480180839at_nat)) (= T2 (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc6011863565407846595at_nat T2)) (@ tptp.produc2937545259423399429at_nat T2)))))
% 3.35/4.34  (assert (forall ((T2 tptp.product_prod_nat_num)) (= T2 (@ (@ tptp.product_Pair_nat_num (@ tptp.product_fst_nat_num T2)) (@ tptp.product_snd_nat_num T2)))))
% 3.35/4.34  (assert (forall ((T2 tptp.product_prod_nat_nat)) (= T2 (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_fst_nat_nat T2)) (@ tptp.product_snd_nat_nat T2)))))
% 3.35/4.34  (assert (forall ((T2 tptp.product_prod_int_int)) (= T2 (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int T2)) (@ tptp.product_snd_int_int T2)))))
% 3.35/4.34  (assert (forall ((T2 tptp.produc7812382424243267045t_unit)) (= T2 (@ (@ tptp.produc6544324848051098391t_unit (@ tptp.produc473321116828791851t_unit T2)) (@ tptp.produc1126150082675451753t_unit T2)))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (R2 tptp.ref_a) (X2 tptp.a) (X3 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ (@ tptp.set_a R) X2))) (let ((_let_2 (@ (@ tptp.set_a R2) X3))) (=> (@ (@ tptp.noteq_a_a R) R2) (= (@ _let_1 (@ _let_2 H)) (@ _let_2 (@ _let_1 H))))))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (= (@ (@ tptp.produc6544324848051098391t_unit R) H2) (@ (@ tptp.alloc_a X2) H)) (not (@ (@ tptp.present_a H) R)))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (= (@ (@ tptp.produc6544324848051098391t_unit R) H2) (@ (@ tptp.alloc_a X2) H)) (@ (@ tptp.present_a H2) R))))
% 3.35/4.34  (assert (forall ((H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (R2 tptp.ref_a)) (let ((_let_1 (@ tptp.present_a H))) (=> (@ _let_1 R) (=> (not (@ _let_1 R2)) (@ (@ tptp.noteq_a_a R) R2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R) (not (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (not (= R (@ tptp.produc473321116828791851t_unit _let_1)))))))))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (=> (= R (@ tptp.produc473321116828791851t_unit _let_1)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc1319942482725812455at_nat)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ P2 (@ tptp.produc4486455499028916547at_nat A)) (@ tptp.produc826222791318859909at_nat A))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ P2 (@ tptp.produc6011863565407846595at_nat A)) (@ tptp.produc2937545259423399429at_nat A))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.nat tptp.num Bool)) (X2 tptp.nat) (Y3 tptp.num) (A tptp.product_prod_nat_num)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ P2 (@ tptp.product_fst_nat_num A)) (@ tptp.product_snd_nat_num A))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.nat tptp.nat Bool)) (X2 tptp.nat) (Y3 tptp.nat) (A tptp.product_prod_nat_nat)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.product_snd_nat_nat A))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.int tptp.int Bool)) (X2 tptp.int) (Y3 tptp.int) (A tptp.product_prod_int_int)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.product_snd_int_int A))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (X2 tptp.ref_a) (Y3 tptp.heap_e7401611519738050253t_unit) (A tptp.produc7812382424243267045t_unit)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.produc6544324848051098391t_unit X2) Y3)) (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.produc1126150082675451753t_unit A))))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc1319942482725812455at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (Z2 tptp.set_Pr4329608150637261639at_nat)) (=> (= X2 (@ (@ tptp.produc9060074326276436823at_nat Y3) Z2)) (= (@ tptp.produc826222791318859909at_nat X2) Z2))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (Z2 tptp.set_Pr1261947904930325089at_nat)) (=> (= X2 (@ (@ tptp.produc2922128104949294807at_nat Y3) Z2)) (= (@ tptp.produc2937545259423399429at_nat X2) Z2))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_nat_num) (Y3 tptp.nat) (Z2 tptp.num)) (=> (= X2 (@ (@ tptp.product_Pair_nat_num Y3) Z2)) (= (@ tptp.product_snd_nat_num X2) Z2))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (= X2 (@ (@ tptp.product_Pair_nat_nat Y3) Z2)) (= (@ tptp.product_snd_nat_nat X2) Z2))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.int) (Z2 tptp.int)) (=> (= X2 (@ (@ tptp.product_Pair_int_int Y3) Z2)) (= (@ tptp.product_snd_int_int X2) Z2))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc7812382424243267045t_unit) (Y3 tptp.ref_a) (Z2 tptp.heap_e7401611519738050253t_unit)) (=> (= X2 (@ (@ tptp.produc6544324848051098391t_unit Y3) Z2)) (= (@ tptp.produc1126150082675451753t_unit X2) Z2))))
% 3.35/4.34  (assert (forall ((B tptp.set_Pr4329608150637261639at_nat) (P tptp.produc1319942482725812455at_nat)) (= (= B (@ tptp.produc826222791318859909at_nat P)) (exists ((A5 tptp.set_Pr4329608150637261639at_nat)) (= P (@ (@ tptp.produc9060074326276436823at_nat A5) B))))))
% 3.35/4.34  (assert (forall ((B tptp.set_Pr1261947904930325089at_nat) (P tptp.produc3843707927480180839at_nat)) (= (= B (@ tptp.produc2937545259423399429at_nat P)) (exists ((A5 tptp.set_Pr1261947904930325089at_nat)) (= P (@ (@ tptp.produc2922128104949294807at_nat A5) B))))))
% 3.35/4.34  (assert (forall ((B tptp.num) (P tptp.product_prod_nat_num)) (= (= B (@ tptp.product_snd_nat_num P)) (exists ((A5 tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_num A5) B))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (P tptp.product_prod_nat_nat)) (= (= B (@ tptp.product_snd_nat_nat P)) (exists ((A5 tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_nat A5) B))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (P tptp.product_prod_int_int)) (= (= B (@ tptp.product_snd_int_int P)) (exists ((A5 tptp.int)) (= P (@ (@ tptp.product_Pair_int_int A5) B))))))
% 3.35/4.34  (assert (forall ((B tptp.heap_e7401611519738050253t_unit) (P tptp.produc7812382424243267045t_unit)) (= (= B (@ tptp.produc1126150082675451753t_unit P)) (exists ((A5 tptp.ref_a)) (= P (@ (@ tptp.produc6544324848051098391t_unit A5) B))))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc1319942482725812455at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (Z2 tptp.set_Pr4329608150637261639at_nat)) (=> (= X2 (@ (@ tptp.produc9060074326276436823at_nat Y3) Z2)) (= (@ tptp.produc4486455499028916547at_nat X2) Y3))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (Z2 tptp.set_Pr1261947904930325089at_nat)) (=> (= X2 (@ (@ tptp.produc2922128104949294807at_nat Y3) Z2)) (= (@ tptp.produc6011863565407846595at_nat X2) Y3))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_nat_num) (Y3 tptp.nat) (Z2 tptp.num)) (=> (= X2 (@ (@ tptp.product_Pair_nat_num Y3) Z2)) (= (@ tptp.product_fst_nat_num X2) Y3))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (= X2 (@ (@ tptp.product_Pair_nat_nat Y3) Z2)) (= (@ tptp.product_fst_nat_nat X2) Y3))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.int) (Z2 tptp.int)) (=> (= X2 (@ (@ tptp.product_Pair_int_int Y3) Z2)) (= (@ tptp.product_fst_int_int X2) Y3))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc7812382424243267045t_unit) (Y3 tptp.ref_a) (Z2 tptp.heap_e7401611519738050253t_unit)) (=> (= X2 (@ (@ tptp.produc6544324848051098391t_unit Y3) Z2)) (= (@ tptp.produc473321116828791851t_unit X2) Y3))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (P tptp.produc1319942482725812455at_nat)) (= (= A (@ tptp.produc4486455499028916547at_nat P)) (exists ((B4 tptp.set_Pr4329608150637261639at_nat)) (= P (@ (@ tptp.produc9060074326276436823at_nat A) B4))))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (P tptp.produc3843707927480180839at_nat)) (= (= A (@ tptp.produc6011863565407846595at_nat P)) (exists ((B4 tptp.set_Pr1261947904930325089at_nat)) (= P (@ (@ tptp.produc2922128104949294807at_nat A) B4))))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (P tptp.product_prod_nat_num)) (= (= A (@ tptp.product_fst_nat_num P)) (exists ((B4 tptp.num)) (= P (@ (@ tptp.product_Pair_nat_num A) B4))))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (P tptp.product_prod_nat_nat)) (= (= A (@ tptp.product_fst_nat_nat P)) (exists ((B4 tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_nat A) B4))))))
% 3.35/4.34  (assert (forall ((A tptp.int) (P tptp.product_prod_int_int)) (= (= A (@ tptp.product_fst_int_int P)) (exists ((B4 tptp.int)) (= P (@ (@ tptp.product_Pair_int_int A) B4))))))
% 3.35/4.34  (assert (forall ((A tptp.ref_a) (P tptp.produc7812382424243267045t_unit)) (= (= A (@ tptp.produc473321116828791851t_unit P)) (exists ((B4 tptp.heap_e7401611519738050253t_unit)) (= P (@ (@ tptp.produc6544324848051098391t_unit A) B4))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit Bool)) (F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_guard_ref_a P2) F)) H) H2) R) (not (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (=> (= R (@ tptp.produc473321116828791851t_unit _let_1)) (not (@ P2 H)))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit Bool)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (@ P2 H) (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (=> (= R (@ tptp.produc473321116828791851t_unit _let_1)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_guard_ref_a P2) F)) H) H2) R)))))))
% 3.35/4.34  (assert (forall ((C Bool) (T2 tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (E tptp.heap_Heap_ref_a)) (=> (=> C (@ (@ (@ (@ tptp.heap_effect_ref_a T2) H) H2) R)) (=> (=> (not C) (@ (@ (@ (@ tptp.heap_effect_ref_a E) H) H2) R)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ (@ tptp.if_Heap_Heap_ref_a C) T2) E)) H) H2) R)))))
% 3.35/4.34  (assert (forall ((F tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (A tptp.ref_a) (H3 tptp.heap_e7401611519738050253t_unit) (B tptp.ref_a)) (let ((_let_1 (@ (@ tptp.heap_effect_ref_a F) H))) (=> (@ (@ _let_1 H2) A) (=> (@ (@ _let_1 H3) B) (= H2 H3))))))
% 3.35/4.34  (assert (forall ((F tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (A tptp.ref_a) (H3 tptp.heap_e7401611519738050253t_unit) (B tptp.ref_a)) (let ((_let_1 (@ (@ tptp.heap_effect_ref_a F) H))) (=> (@ (@ _let_1 H2) A) (=> (@ (@ _let_1 H3) B) (= A B))))))
% 3.35/4.34  (assert (forall ((C Bool) (T2 tptp.heap_Heap_ref_a) (E tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ (@ tptp.if_Heap_Heap_ref_a C) T2) E)) H) H2) R) (=> (=> C (not (@ (@ (@ (@ tptp.heap_effect_ref_a T2) H) H2) R))) (not (=> (not C) (not (@ (@ (@ (@ tptp.heap_effect_ref_a E) H) H2) R))))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (X2 Bool) (C tptp.num) (G (-> Bool tptp.num)) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr7727518618234538026at_num A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (C tptp.num) (G (-> tptp.nat tptp.num)) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr3875488559241464598at_num A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (X2 tptp.int) (C tptp.num) (G (-> tptp.int tptp.num)) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr4247142119478309234at_num A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (X2 Bool) (C tptp.nat) (G (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) C)) (@ (@ (@ tptp.bNF_Gr1946814795223983584at_nat A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (C tptp.nat) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) C)) (@ (@ (@ tptp.bNF_Gr7318156773085685964at_nat A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (X2 tptp.int) (C tptp.nat) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) C)) (@ (@ (@ tptp.bNF_Gr7689810333322530600at_nat A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (F (-> Bool tptp.int)) (X2 Bool) (C tptp.int) (G (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) C)) (@ (@ (@ tptp.bNF_Gr2943678036615987864nt_int A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (X2 tptp.nat) (C tptp.int) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) C)) (@ (@ (@ tptp.bNF_Gr8315020014477690244nt_int A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (F (-> tptp.int tptp.int)) (X2 tptp.int) (C tptp.int) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) C)) (@ (@ (@ tptp.bNF_Gr8686673574714534880nt_int A4) F) G)))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.product_prod_nat_nat tptp.nat)) (X2 tptp.product_prod_nat_nat) (C tptp.num) (G (-> tptp.product_prod_nat_nat tptp.num)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member8440522571783428010at_nat X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr5511461681843259283at_num A4) F) G)))))))
% 3.35/4.34  (assert (forall ((R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.lim_Product_unit (@ (@ (@ tptp.set_a R) V) H)) (@ tptp.lim_Product_unit H))))
% 3.35/4.34  (assert (forall ((P2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc27273713700761075at_nat F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))))
% 3.35/4.34  (assert (forall ((P2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc8739625826339149834_nat_o F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))))
% 3.35/4.34  (assert (forall ((P2 (-> Bool Bool)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))))
% 3.35/4.34  (assert (forall ((P2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc27273713700761075at_nat F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc8739625826339149834_nat_o F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> Bool Bool)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr4329608150637261639at_nat) (S2 tptp.set_Pr4329608150637261639at_nat) (R3 tptp.set_Pr7459493094073627847at_nat) (S3 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.produc9060074326276436823at_nat R))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member1466754251312161552at_nat (@ _let_1 S3)) R3))))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr1261947904930325089at_nat) (S2 tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat R))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 S3)) R3))))))
% 3.35/4.34  (assert (forall ((R tptp.nat) (S2 tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (S3 tptp.num)) (let ((_let_1 (@ tptp.product_Pair_nat_num R))) (=> (@ (@ tptp.member9148766508732265716at_num (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member9148766508732265716at_num (@ _let_1 S3)) R3))))))
% 3.35/4.34  (assert (forall ((R tptp.nat) (S2 tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (S3 tptp.nat)) (let ((_let_1 (@ tptp.product_Pair_nat_nat R))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member8440522571783428010at_nat (@ _let_1 S3)) R3))))))
% 3.35/4.34  (assert (forall ((R tptp.int) (S2 tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (S3 tptp.int)) (let ((_let_1 (@ tptp.product_Pair_int_int R))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member5262025264175285858nt_int (@ _let_1 S3)) R3))))))
% 3.35/4.34  (assert (forall ((X2 tptp.literal) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_raise_ref_a X2)) H) H2) R))))
% 3.35/4.34  (assert (forall ((R2 tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.product_unit)) (=> (@ (@ (@ (@ tptp.heap_e2830298082929533060t_unit (@ (@ tptp.update_a R2) V)) H) H2) R) (= H2 (@ (@ (@ tptp.set_a R2) V) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.produc1319942482725812455at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ F (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ (@ tptp.produc447603880154497357_nat_o F) A) B))))
% 3.35/4.34  (assert (forall ((F (-> tptp.produc3843707927480180839at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ F (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ (@ tptp.produc7820828192191229133_nat_o F) A) B))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ F (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ (@ tptp.produc156083480235303841_num_o F) A) B))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ F (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ (@ tptp.produc1310100445399344235_nat_o F) A) B))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_int_int Bool)) (A tptp.int) (B tptp.int)) (=> (@ F (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ (@ tptp.produc175634133007206835_int_o F) A) B))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc27273713700761075at_nat (@ tptp.produc3610074571335452306at_nat F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc8739625826339149834_nat_o (@ tptp.produc3704529784387675049_nat_o F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (= (@ tptp.produc4245557441103728435nt_int (@ tptp.produc8249235968001453780nt_int F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_int_int Bool))) (= (@ tptp.produc4947309494688390418_int_o (@ tptp.produc175634133007206835_int_o F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_int_int tptp.int))) (= (@ tptp.produc8211389475949308722nt_int (@ tptp.produc1016772743285680337nt_int F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc3610074571335452306at_nat (@ tptp.produc27273713700761075at_nat F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc3704529784387675049_nat_o (@ tptp.produc8739625826339149834_nat_o F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int))) (= (@ tptp.produc8249235968001453780nt_int (@ tptp.produc4245557441103728435nt_int F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int Bool))) (= (@ tptp.produc175634133007206835_int_o (@ tptp.produc4947309494688390418_int_o F)) F)))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int tptp.int))) (= (@ tptp.produc1016772743285680337nt_int (@ tptp.produc8211389475949308722nt_int F)) F)))
% 3.35/4.34  (assert (forall ((Z2 Bool) (C (-> tptp.nat tptp.num tptp.set_o)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_o Z2) (@ (@ tptp.produc836176033315069408_set_o C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member_o Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4130284055270567454et_nat C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member_nat Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.num tptp.set_int)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_int Z2) (@ (@ tptp.produc9175805072616146554et_int C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member_int Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 Bool) (C (-> tptp.nat tptp.nat tptp.set_o)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member_o Z2) (@ (@ tptp.produc59986286002894506_set_o C) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ tptp.member_o Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.nat tptp.set_nat)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc6189476227299908564et_nat C) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ tptp.member_nat Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.nat tptp.set_int)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member_int Z2) (@ (@ tptp.produc2011625207790711856et_int C) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ tptp.member_int Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 Bool) (C (-> tptp.int tptp.int tptp.set_o)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.member_o Z2) (@ (@ tptp.produc4257766111578684402_set_o C) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ tptp.member_o Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.nat) (C (-> tptp.int tptp.int tptp.set_nat)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4251311855443802252et_nat C) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ tptp.member_nat Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.int) (C (-> tptp.int tptp.int tptp.set_int)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.member_int Z2) (@ (@ tptp.produc73460835934605544et_int C) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ tptp.member_int Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ tptp.produc859037500352796105at_nat C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ C X) Y)))))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc27273713700761075at_nat F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc4245557441103728435nt_int F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int Bool)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int tptp.int)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc8211389475949308722nt_int F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))))
% 3.35/4.34  (assert (forall ((F (-> tptp.produc1319942482725812455at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ (@ tptp.produc447603880154497357_nat_o F) A) B) (@ F (@ (@ tptp.produc9060074326276436823at_nat A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.produc3843707927480180839at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ tptp.produc7820828192191229133_nat_o F) A) B) (@ F (@ (@ tptp.produc2922128104949294807at_nat A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ (@ tptp.produc156083480235303841_num_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_num A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ (@ tptp.produc1310100445399344235_nat_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_nat A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_int_int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ (@ tptp.produc175634133007206835_int_o F) A) B) (@ F (@ (@ tptp.product_Pair_int_int A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.produc1319942482725812455at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ (@ tptp.produc447603880154497357_nat_o F) A) B) (@ F (@ (@ tptp.produc9060074326276436823at_nat A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.produc3843707927480180839at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ tptp.produc7820828192191229133_nat_o F) A) B) (@ F (@ (@ tptp.produc2922128104949294807at_nat A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ (@ tptp.produc156083480235303841_num_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_num A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ (@ tptp.produc1310100445399344235_nat_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_nat A) B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.product_prod_int_int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ (@ tptp.produc175634133007206835_int_o F) A) B) (@ F (@ (@ tptp.product_Pair_int_int A) B)))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (A4 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat X2) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o A4))) (@ (@ A4 (@ tptp.produc6011863565407846595at_nat X2)) (@ tptp.produc2937545259423399429at_nat X2)))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_nat_nat) (A4 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o A4))) (@ (@ A4 (@ tptp.product_fst_nat_nat X2)) (@ tptp.product_snd_nat_nat X2)))))
% 3.35/4.34  (assert (forall ((X2 tptp.produc7812382424243267045t_unit) (A4 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (=> (@ (@ tptp.member7849944260330398460t_unit X2) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o A4))) (@ (@ A4 (@ tptp.produc473321116828791851t_unit X2)) (@ tptp.produc1126150082675451753t_unit X2)))))
% 3.35/4.34  (assert (forall ((X2 tptp.product_prod_int_int) (A4 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int X2) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o A4))) (@ (@ A4 (@ tptp.product_fst_int_int X2)) (@ tptp.product_snd_int_int X2)))))
% 3.35/4.34  (assert (forall ((H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (=> (= H H2) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_return_ref_a X2)) H) H2) X2))))
% 3.35/4.34  (assert (forall ((X2 tptp.ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_return_ref_a X2)) H) H2) R) (not (=> (= R X2) (not (= H2 H)))))))
% 3.35/4.34  (assert (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Prod3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat Prod3)) (@ tptp.product_snd_nat_nat Prod3)) __flatten_var_0))))
% 3.35/4.34  (assert (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat Prod3)) (@ tptp.product_snd_nat_nat Prod3)) __flatten_var_0))))
% 3.35/4.34  (assert (= tptp.produc4245557441103728435nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int Prod3)) (@ tptp.product_snd_int_int Prod3)))))
% 3.35/4.34  (assert (= tptp.produc4947309494688390418_int_o (lambda ((F2 (-> tptp.int tptp.int Bool)) (Prod3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int Prod3)) (@ tptp.product_snd_int_int Prod3)))))
% 3.35/4.34  (assert (= tptp.produc8211389475949308722nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.int)) (Prod3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int Prod3)) (@ tptp.product_snd_int_int Prod3)))))
% 3.35/4.34  (assert (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))))
% 3.35/4.34  (assert (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))))
% 3.35/4.34  (assert (= tptp.produc4245557441103728435nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (P3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))))
% 3.35/4.34  (assert (= tptp.produc4947309494688390418_int_o (lambda ((F2 (-> tptp.int tptp.int Bool)) (P3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))))
% 3.35/4.34  (assert (= tptp.produc8211389475949308722nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.int)) (P3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))))
% 3.35/4.34  (assert (= tptp.produc1854806715440696265at_nat tptp.produc27273713700761075at_nat))
% 3.35/4.34  (assert (= tptp.produc4780622933104268256_nat_o tptp.produc8739625826339149834_nat_o))
% 3.35/4.34  (assert (= tptp.produc297006045350968285nt_int tptp.produc4245557441103728435nt_int))
% 3.35/4.34  (assert (= tptp.produc8005341501107743676_int_o tptp.produc4947309494688390418_int_o))
% 3.35/4.34  (assert (= tptp.produc7926200574084438792nt_int tptp.produc8211389475949308722nt_int))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.product_unit)) (=> (= H2 (@ (@ (@ tptp.set_a R) V) H)) (@ (@ (@ (@ tptp.heap_e2830298082929533060t_unit (@ (@ tptp.update_a R) V)) H) H2) X2))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P tptp.product_prod_nat_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc27273713700761075at_nat F) P) (@ (@ tptp.produc27273713700761075at_nat G) Q))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc8739625826339149834_nat_o F) P) (@ (@ tptp.produc8739625826339149834_nat_o G) Q))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G (-> tptp.int tptp.int tptp.product_prod_int_int)) (P tptp.product_prod_int_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc4245557441103728435nt_int F) P) (@ (@ tptp.produc4245557441103728435nt_int G) Q))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int Bool)) (G (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc4947309494688390418_int_o F) P) (@ (@ tptp.produc4947309494688390418_int_o G) Q))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int tptp.int)) (G (-> tptp.int tptp.int tptp.int)) (P tptp.product_prod_int_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc8211389475949308722nt_int F) P) (@ (@ tptp.produc8211389475949308722nt_int G) Q))))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.produc4196048018000912732at_int Bool)) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ (@ (@ (@ tptp.bNF_cs7194553038297458973at_int (@ tptp.collec2851339944984316337at_int (@ F (@ (@ tptp.relcom8911704206367525917at_int P2) Q2)))) tptp.produc6408287024330202629at_nat) tptp.produc4619704898428564714at_int) (@ (@ tptp.bNF_fs6342258632037972510at_int P2) Q2)) (@ (@ tptp.bNF_sn649997494946348640at_int P2) Q2))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.int tptp.code_integer Bool) tptp.produc2963269191615333738nteger Bool)) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool))) (@ (@ (@ (@ (@ tptp.bNF_cs4943907971211754724nteger (@ tptp.collec7215431352809750357nteger (@ F (@ (@ tptp.relcom967497705283160040nteger P2) Q2)))) tptp.product_snd_int_int) tptp.produc45500017171379470nteger) (@ (@ tptp.bNF_fs4543836202474805097nteger P2) Q2)) (@ (@ tptp.bNF_sn8000174127721201323nteger P2) Q2))))
% 3.35/4.34  (assert (forall ((H2 tptp.heap_e7401611519738050253t_unit) (H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (F (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a))) (=> (= H2 H) (=> (= R (@ F H)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_tap_ref_a F)) H) H2) R)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_tap_ref_a F)) H) H2) R) (not (=> (= H2 H) (not (= R (@ F H))))))))
% 3.35/4.34  (assert (forall ((Y3 tptp.num) (X2 tptp.nat) (A4 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.member6570852975090897396um_nat (@ (@ tptp.product_Pair_num_nat Y3) X2)) (@ (@ tptp.image_2347970371937200581um_nat tptp.product_swap_nat_num) A4)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) A4))))
% 3.35/4.34  (assert (forall ((Y3 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat Y3) X2)) (@ (@ tptp.image_3313167189156628421at_nat tptp.produc5396952528824381687at_nat) A4)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) A4))))
% 3.35/4.34  (assert (forall ((Y3 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat Y3) X2)) (@ (@ tptp.image_960689587819713477at_nat tptp.produc3946833401584108663at_nat) A4)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) A4))))
% 3.35/4.34  (assert (forall ((Y3 tptp.nat) (X2 tptp.num) (A4 tptp.set_Pr3280342998896498603um_nat)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num Y3) X2)) (@ (@ tptp.image_7762062833379733445at_num tptp.product_swap_num_nat) A4)) (@ (@ tptp.member6570852975090897396um_nat (@ (@ tptp.product_Pair_num_nat X2) Y3)) A4))))
% 3.35/4.34  (assert (forall ((Y3 tptp.nat) (X2 tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat Y3) X2)) (@ (@ tptp.image_5168914502847457605at_nat tptp.product_swap_nat_nat) A4)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) A4))))
% 3.35/4.34  (assert (forall ((Y3 tptp.int) (X2 tptp.int) (A4 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int Y3) X2)) (@ (@ tptp.image_2653370878348428101nt_int tptp.product_swap_int_int) A4)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) A4))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.ref_a tptp.ref_a Bool)) (Q2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (= tptp.produc1126150082675451753t_unit (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ (@ tptp.bNF_sn8323453914685745821t_unit P2) Q2)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (F3 (-> Bool Bool)) (G2 (-> tptp.nat Bool)) (X3 tptp.nat)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_o_o_nat F) G) X2) (@ (@ (@ tptp.comp_o_o_nat F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (F3 (-> tptp.nat tptp.num)) (G2 (-> tptp.int tptp.nat)) (X3 tptp.int)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_nat_num_int F) G) X2) (@ (@ (@ tptp.comp_nat_num_int F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (F3 (-> tptp.nat tptp.nat)) (G2 (-> tptp.nat tptp.nat)) (X3 tptp.nat)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_nat_nat_nat F) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (F3 (-> tptp.int tptp.nat)) (G2 (-> tptp.int tptp.int)) (X3 tptp.int)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_nat_nat_nat F) G) X2) (@ (@ (@ tptp.comp_int_nat_int F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (F3 (-> tptp.nat tptp.nat)) (G2 (-> tptp.nat tptp.nat)) (X3 tptp.nat)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_int_nat_int F) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (F3 (-> tptp.int tptp.nat)) (G2 (-> tptp.int tptp.int)) (X3 tptp.int)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_int_nat_int F) G) X2) (@ (@ (@ tptp.comp_int_nat_int F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (F3 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X3 tptp.code_integer)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_C8797469213163452608nteger F) G) X2) (@ (@ (@ tptp.comp_C8797469213163452608nteger F3) G2) X3)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (H (-> Bool Bool)) (K (-> tptp.nat Bool))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_o_o_nat F) G) X2) (@ (@ (@ tptp.comp_o_o_nat H) K) X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (H (-> tptp.nat tptp.num)) (K (-> tptp.int tptp.nat))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_nat_num_int F) G) X2) (@ (@ (@ tptp.comp_nat_num_int H) K) X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (H (-> tptp.nat tptp.nat)) (K (-> tptp.nat tptp.nat))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_nat_nat_nat F) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat H) K) X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (H (-> tptp.int tptp.nat)) (K (-> tptp.int tptp.int))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_int_nat_int F) G) X2) (@ (@ (@ tptp.comp_int_nat_int H) K) X2)))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (H (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (K (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_C8797469213163452608nteger F) G) X2) (@ (@ (@ tptp.comp_C8797469213163452608nteger H) K) X2)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A tptp.product_prod_nat_nat) (C tptp.int)) (let ((_let_1 (@ (@ (@ (@ tptp.bNF_pi770922605693484880at_int P2) Q2) A) C))) (=> (@ (@ (@ (@ tptp.relcom8911704206367525917at_int P2) Q2) A) C) (and (@ (@ P2 A) _let_1) (@ (@ Q2 _let_1) C))))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool)) (A tptp.int) (C tptp.code_integer)) (let ((_let_1 (@ (@ (@ (@ tptp.bNF_pi4515785505327359899nteger P2) Q2) A) C))) (=> (@ (@ (@ (@ tptp.relcom967497705283160040nteger P2) Q2) A) C) (and (@ (@ P2 A) _let_1) (@ (@ Q2 _let_1) C))))))
% 3.35/4.34  (assert (forall ((Ac tptp.produc3843707927480180839at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (Q2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat Ac) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.relcom8363394528208558896at_nat P2) Q2)))) (@ (@ tptp.member8757157785044589968at_nat (@ (@ (@ tptp.bNF_sn1857951156667551021at_nat P2) Q2) Ac)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o Q2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.product_prod_nat_nat) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat Ac) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.relcompp_nat_nat_nat P2) Q2)))) (@ (@ tptp.member8440522571783428010at_nat (@ (@ (@ tptp.bNF_sn8916957246138178918at_nat P2) Q2) Ac)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o Q2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.produc4196048018000912732at_int) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ tptp.member8394280151737582451at_int Ac) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o (@ (@ tptp.relcom8911704206367525917at_int P2) Q2)))) (@ (@ tptp.member8394280151737582451at_int (@ (@ (@ tptp.bNF_sn649997494946348640at_int P2) Q2) Ac)) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o Q2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.produc2963269191615333738nteger) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ tptp.member4345257455949424659nteger Ac) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o (@ (@ tptp.relcom967497705283160040nteger P2) Q2)))) (@ (@ tptp.member4345257455949424659nteger (@ (@ (@ tptp.bNF_sn8000174127721201323nteger P2) Q2) Ac)) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o Q2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.product_prod_int_int) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int Ac) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.relcompp_int_int_int P2) Q2)))) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_sn1062102010912252026nt_int P2) Q2) Ac)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o Q2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.produc3843707927480180839at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (Q2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat Ac) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.relcom8363394528208558896at_nat P2) Q2)))) (@ (@ tptp.member8757157785044589968at_nat (@ (@ (@ tptp.bNF_fs1946732770515719151at_nat P2) Q2) Ac)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o P2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.product_prod_nat_nat) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat Ac) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.relcompp_nat_nat_nat P2) Q2)))) (@ (@ tptp.member8440522571783428010at_nat (@ (@ (@ tptp.bNF_fs6799373675401686564at_nat P2) Q2) Ac)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o P2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.produc4196048018000912732at_int) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ tptp.member8394280151737582451at_int Ac) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o (@ (@ tptp.relcom8911704206367525917at_int P2) Q2)))) (@ (@ tptp.member8206827879206165904at_nat (@ (@ (@ tptp.bNF_fs6342258632037972510at_int P2) Q2) Ac)) (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o P2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.produc2963269191615333738nteger) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ tptp.member4345257455949424659nteger Ac) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o (@ (@ tptp.relcom967497705283160040nteger P2) Q2)))) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_fs4543836202474805097nteger P2) Q2) Ac)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o P2))))))
% 3.35/4.34  (assert (forall ((Ac tptp.product_prod_int_int) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int Ac) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.relcompp_int_int_int P2) Q2)))) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_fs8167890477030535480nt_int P2) Q2) Ac)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o P2))))))
% 3.35/4.34  (assert (forall ((F tptp.heap_Heap_ref_a) (G (-> tptp.ref_a tptp.heap_Heap_ref_a)) (H tptp.heap_e7401611519738050253t_unit) (H3 tptp.heap_e7401611519738050253t_unit) (R2 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_b146640354529102224_ref_a F) G)) H) H3) R2) (not (forall ((H4 tptp.heap_e7401611519738050253t_unit) (R4 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a F) H) H4) R4) (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ G R4)) H4) H3) R2))))))))
% 3.35/4.34  (assert (forall ((F tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (G (-> tptp.ref_a tptp.heap_Heap_ref_a)) (H3 tptp.heap_e7401611519738050253t_unit) (R2 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a F) H) H2) R) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ G R)) H2) H3) R2) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_b146640354529102224_ref_a F) G)) H) H3) R2)))))
% 3.35/4.34  (assert (forall ((P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool))) (= tptp.produc473321116828791851t_unit (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ (@ tptp.bNF_fs409234558581511823t_unit P2) Q2)))))
% 3.35/4.34  (assert (= tptp.comp_o_o_nat (lambda ((F2 (-> Bool Bool)) (G3 (-> tptp.nat Bool)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_nat_num_int (lambda ((F2 (-> tptp.nat tptp.num)) (G3 (-> tptp.int tptp.nat)) (X4 tptp.int)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_nat_nat_nat (lambda ((F2 (-> tptp.nat tptp.nat)) (G3 (-> tptp.nat tptp.nat)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_int_nat_int (lambda ((F2 (-> tptp.int tptp.nat)) (G3 (-> tptp.int tptp.int)) (X4 tptp.int)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_C8797469213163452608nteger (lambda ((F2 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G3 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X4 tptp.code_integer) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ F2 (@ G3 X4)) __flatten_var_0))))
% 3.35/4.34  (assert (forall ((B Bool) (F (-> Bool Bool)) (X2 Bool) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_o B) (@ (@ tptp.image_o_o F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (X2 Bool) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_nat B) (@ (@ tptp.image_o_nat F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (F (-> Bool tptp.int)) (X2 Bool) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_int B) (@ (@ tptp.image_o_int F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.34  (assert (forall ((B Bool) (F (-> tptp.nat Bool)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.34  (assert (forall ((B Bool) (F (-> tptp.int Bool)) (X2 tptp.int) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_o B) (@ (@ tptp.image_int_o F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (X2 tptp.int) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_nat B) (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.34  (assert (forall ((B tptp.int) (F (-> tptp.int tptp.int)) (X2 tptp.int) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_int B) (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_o Bool)) (G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ Inf (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.rat tptp.rat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_rat_rat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Inf (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_rat_rat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_nat tptp.nat)) (G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Inf (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_int tptp.int)) (G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ Inf (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.int tptp.rat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_int_rat G) (@ (@ tptp.image_nat_int F) A4))) (@ Inf (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_int_rat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_num tptp.num)) (G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_nat_num G) (@ (@ tptp.image_int_nat F) A4))) (@ Inf (@ (@ tptp.image_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Inf (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_nat_rat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_int_nat F) A4))) (@ Inf (@ (@ tptp.image_int_rat (@ (@ tptp.comp_nat_rat_int G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Inf (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Inf (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ Inf (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_o Bool)) (G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ Sup (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.rat tptp.rat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_rat_rat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Sup (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_rat_rat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_nat tptp.nat)) (G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Sup (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_int tptp.int)) (G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ Sup (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.int tptp.rat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_int_rat G) (@ (@ tptp.image_nat_int F) A4))) (@ Sup (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_int_rat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_num tptp.num)) (G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_nat_num G) (@ (@ tptp.image_int_nat F) A4))) (@ Sup (@ (@ tptp.image_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Sup (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_nat_rat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_int_nat F) A4))) (@ Sup (@ (@ tptp.image_int_rat (@ (@ tptp.comp_nat_rat_int G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Sup (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))))
% 3.35/4.34  (assert (forall ((Sup (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ Sup (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (R tptp.set_nat)) (= (@ (@ tptp.image_o_o F) (@ (@ tptp.image_nat_o G) R)) (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (R tptp.set_nat)) (= (@ (@ tptp.image_rat_rat F) (@ (@ tptp.image_nat_rat G) R)) (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_rat_rat_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.rat tptp.nat)) (G (-> tptp.nat tptp.rat)) (R tptp.set_nat)) (= (@ (@ tptp.image_rat_nat F) (@ (@ tptp.image_nat_rat G) R)) (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.rat tptp.int)) (G (-> tptp.nat tptp.rat)) (R tptp.set_nat)) (= (@ (@ tptp.image_rat_int F) (@ (@ tptp.image_nat_rat G) R)) (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.rat)) (G (-> tptp.nat tptp.int)) (R tptp.set_nat)) (= (@ (@ tptp.image_int_rat F) (@ (@ tptp.image_nat_int G) R)) (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_int_rat_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (R tptp.set_int)) (= (@ (@ tptp.image_nat_num F) (@ (@ tptp.image_int_nat G) R)) (@ (@ tptp.image_int_num (@ (@ tptp.comp_nat_num_int F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (R tptp.set_nat)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_nat_nat G) R)) (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_nat_rat_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (R tptp.set_int)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_int_nat G) R)) (@ (@ tptp.image_int_rat (@ (@ tptp.comp_nat_rat_int F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (R tptp.set_nat)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_nat_nat G) R)) (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (R tptp.set_int)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_int_nat G) R)) (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int F) G)) R))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (G (-> tptp.nat Bool)) (B5 tptp.set_nat) (H (-> Bool Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat H))) (=> (= (@ (@ tptp.image_nat_o F) A4) (@ (@ tptp.image_nat_o G) B5)) (= (@ (@ tptp.image_nat_o (@ _let_1 F)) A4) (@ (@ tptp.image_nat_o (@ _let_1 G)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.rat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_int_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_int_nat (@ (@ tptp.comp_rat_nat_int H) F)) A4) (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat H) G)) B5)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.rat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_int_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_int_int (@ (@ tptp.comp_rat_int_int H) F)) A4) (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat H) G)) B5)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.int tptp.rat)) (B5 tptp.set_int) (H (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_int_rat G) B5)) (= (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat H) F)) A4) (@ (@ tptp.image_int_nat (@ (@ tptp.comp_rat_nat_int H) G)) B5)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.int tptp.rat)) (B5 tptp.set_int) (H (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_int_rat G) B5)) (= (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat H) F)) A4) (@ (@ tptp.image_int_int (@ (@ tptp.comp_rat_int_int H) G)) B5)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.rat))) (let ((_let_1 (@ tptp.comp_rat_rat_nat H))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_nat_rat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_rat (@ _let_1 G)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.nat))) (let ((_let_1 (@ tptp.comp_rat_nat_nat H))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_nat_nat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_nat (@ _let_1 G)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.int))) (let ((_let_1 (@ tptp.comp_rat_int_nat H))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_nat_int (@ _let_1 F)) A4) (@ (@ tptp.image_nat_int (@ _let_1 G)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (H (-> tptp.nat tptp.rat))) (let ((_let_1 (@ tptp.comp_nat_rat_nat H))) (=> (= (@ (@ tptp.image_nat_nat F) A4) (@ (@ tptp.image_nat_nat G) B5)) (= (@ (@ tptp.image_nat_rat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_rat (@ _let_1 G)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat H))) (=> (= (@ (@ tptp.image_nat_nat F) A4) (@ (@ tptp.image_nat_nat G) B5)) (= (@ (@ tptp.image_nat_nat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_nat (@ _let_1 G)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_P3428181540658402820nteger tptp.produc6174133586879617921nteger) (@ tptp.produc6499014454317279255nteger F)) (@ (@ tptp.comp_C1043215000170864188nteger F) tptp.produc6174133586879617921nteger))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ tptp.produc3038839249364385243_ref_a F)) (@ (@ tptp.comp_h4837689053573563144t_unit F) tptp.produc1126150082675451753t_unit))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a))) (= (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ tptp.produc4508741384315284437t_unit F)) (@ (@ tptp.comp_r2143332150499412868t_unit F) tptp.produc473321116828791851t_unit))))
% 3.35/4.34  (assert (forall ((Z2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat Z2) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.bNF_Gr6677838525845560078at_nat A4) F)))) (= (@ (@ (@ tptp.comp_s7355055891894327172at_nat F) tptp.produc6011863565407846595at_nat) Z2) (@ tptp.produc2937545259423399429at_nat Z2)))))
% 3.35/4.34  (assert (forall ((Z2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat Z2) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.bNF_Grp_nat_nat A4) F)))) (= (@ (@ (@ tptp.comp_n2711240574518091068at_nat F) tptp.product_fst_nat_nat) Z2) (@ tptp.product_snd_nat_nat Z2)))))
% 3.35/4.34  (assert (forall ((Z2 tptp.produc7812382424243267045t_unit) (A4 tptp.set_ref_a) (F (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit))) (=> (@ (@ tptp.member7849944260330398460t_unit Z2) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ tptp.bNF_Gr6510375311308651680t_unit A4) F)))) (= (@ (@ (@ tptp.comp_r3604920825623061426t_unit F) tptp.produc473321116828791851t_unit) Z2) (@ tptp.produc1126150082675451753t_unit Z2)))))
% 3.35/4.34  (assert (forall ((Z2 tptp.product_prod_int_int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int Z2) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.bNF_Grp_int_int A4) F)))) (= (@ (@ (@ tptp.comp_i4330622015127193916nt_int F) tptp.product_fst_int_int) Z2) (@ tptp.product_snd_int_int Z2)))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (Y4 tptp.set_nat) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat A4))) (=> (= X5 (@ (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat) A4)) (=> (= Y4 (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) A4)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) X5) (forall ((Xa tptp.nat)) (=> (@ (@ tptp.member_nat Xa) Y4) (=> (@ (@ P2 X) Xa) (@ (@ Q2 X) Xa)))))) (=> (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o P2))) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o Q2))))))))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_ref_a) (A4 tptp.set_Pr1133966238863718811t_unit) (Y4 tptp.set_he8644174446132254637t_unit) (P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (Q2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (let ((_let_1 (@ tptp.ord_le5525191956872776187t_unit A4))) (=> (= X5 (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) A4)) (=> (= Y4 (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) A4)) (=> (forall ((X tptp.ref_a)) (=> (@ (@ tptp.member_ref_a X) X5) (forall ((Xa tptp.heap_e7401611519738050253t_unit)) (=> (@ (@ tptp.member242389114213480694t_unit Xa) Y4) (=> (@ (@ P2 X) Xa) (@ (@ Q2 X) Xa)))))) (=> (@ _let_1 (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o P2))) (@ _let_1 (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o Q2))))))))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_int) (A4 tptp.set_Pr958786334691620121nt_int) (Y4 tptp.set_int) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int A4))) (=> (= X5 (@ (@ tptp.image_5042161079198086560nt_int tptp.product_fst_int_int) A4)) (=> (= Y4 (@ (@ tptp.image_5042161079198086560nt_int tptp.product_snd_int_int) A4)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) X5) (forall ((Xa tptp.int)) (=> (@ (@ tptp.member_int Xa) Y4) (=> (@ (@ P2 X) Xa) (@ (@ Q2 X) Xa)))))) (=> (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o P2))) (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o Q2))))))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ (@ tptp.produc3456481717235892722t_unit F) G)) (@ (@ tptp.comp_h4837689053573563144t_unit G) tptp.produc1126150082675451753t_unit))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ (@ tptp.produc3456481717235892722t_unit F) G)) (@ (@ tptp.comp_r2143332150499412868t_unit F) tptp.produc473321116828791851t_unit))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.num)) (A tptp.nat) (B tptp.num)) (= (@ (@ (@ tptp.produc1665548884793878990um_num F) G) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.nat)) (A tptp.nat) (B tptp.num)) (= (@ (@ (@ tptp.produc5108217098638100356um_nat F) G) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.num tptp.int)) (A tptp.nat) (B tptp.num)) (= (@ (@ (@ tptp.produc5477380188365894716um_int F) G) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.produc3535218481486409604at_num F) G) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.produc6977886695330630970at_nat F) G) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.produc7347049785058425330at_int F) G) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.num)) (A tptp.int) (B tptp.int)) (= (@ (@ (@ tptp.produc2224754261294513212nt_num F) G) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (A tptp.int) (B tptp.int)) (= (@ (@ (@ tptp.produc5667422475138734578nt_nat F) G) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A tptp.int) (B tptp.int)) (= (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.nat)) (G (-> tptp.set_Pr1261947904930325089at_nat tptp.num)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ (@ tptp.produc3932168101365401472at_num F) G) (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ (@ tptp.produc3456481717235892722t_unit F) G) X2)) (@ F (@ tptp.produc473321116828791851t_unit X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ (@ tptp.produc3456481717235892722t_unit F) G) X2)) (@ G (@ tptp.produc1126150082675451753t_unit X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc6529295065807390923at_nat F) (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.produc9060074326276436823at_nat (@ F X2)) Y3))))
% 3.35/4.34  (assert (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc5380969780118646373at_nat F) (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) Y3))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.num)) (= (@ (@ tptp.produc6767424583952363640at_num F) (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.product_Pair_nat_num (@ F X2)) Y3))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ tptp.produc986720760941809198at_nat F) (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_nat (@ F X2)) Y3))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (X2 tptp.int) (Y3 tptp.int)) (= (@ (@ tptp.produc2355237562570658114nt_int F) (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.product_Pair_int_int (@ F X2)) Y3))))
% 3.35/4.34  (assert (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.produc9060074326276436823at_nat X2))) (= (@ (@ tptp.produc8057050257526108681at_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat X2))) (= (@ (@ tptp.produc6468969725218530979at_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num tptp.num)) (X2 tptp.nat) (Y3 tptp.num)) (let ((_let_1 (@ tptp.product_Pair_nat_num X2))) (= (@ (@ tptp.produc8389275579088931588um_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num tptp.nat)) (X2 tptp.nat) (Y3 tptp.num)) (= (@ (@ tptp.produc1035573138926686394at_nat F) (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.product_Pair_nat_nat X2) (@ F Y3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ tptp.produc1225095714263496890um_nat F) (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_num X2) (@ F Y3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.product_Pair_nat_nat X2))) (= (@ (@ tptp.produc3094765310956027504at_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (X2 tptp.int) (Y3 tptp.int)) (let ((_let_1 (@ tptp.product_Pair_int_int X2))) (= (@ (@ tptp.produc4463282112584876420nt_int F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (Y3 tptp.code_integer)) (let ((_let_1 (@ tptp.produc1086072967326762835nteger X2))) (= (@ (@ tptp.produc6499014454317279255nteger F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc4508741384315284437t_unit F) X2)) (@ F (@ tptp.produc473321116828791851t_unit X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc4508741384315284437t_unit F) X2)) (@ tptp.produc1126150082675451753t_unit X2))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger)) (= (@ tptp.produc8508995932063986495nteger (@ (@ tptp.produc6499014454317279255nteger F) X2)) (@ tptp.produc8508995932063986495nteger X2))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc3038839249364385243_ref_a F) X2)) (@ tptp.produc473321116828791851t_unit X2))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger)) (= (@ tptp.produc6174133586879617921nteger (@ (@ tptp.produc6499014454317279255nteger F) X2)) (@ F (@ tptp.produc6174133586879617921nteger X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc3038839249364385243_ref_a F) X2)) (@ F (@ tptp.produc1126150082675451753t_unit X2)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger) (G (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.produc6174133586879617921nteger X2))) (= (= (@ (@ tptp.produc6499014454317279255nteger F) X2) (@ (@ tptp.produc6499014454317279255nteger G) X2)) (= (@ F _let_1) (@ G _let_1))))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_4925883905578568901at_num (@ (@ tptp.produc1665548884793878990um_num F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.nat))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) R3) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B))) (@ (@ tptp.image_4217639968629731195at_nat (@ (@ tptp.produc5108217098638100356um_nat F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.int)) (G (-> tptp.num tptp.int))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) R3) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B))) (@ (@ tptp.image_1039142661021589043nt_int (@ (@ tptp.produc5477380188365894716um_int F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_5877158439796295311at_num (@ (@ tptp.produc3535218481486409604at_num F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R3) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B))) (@ (@ tptp.image_5168914502847457605at_nat (@ (@ tptp.produc6977886695330630970at_nat F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.nat) (B tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R3) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B))) (@ (@ tptp.image_1990417195239315453nt_int (@ (@ tptp.produc7347049785058425330at_int F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.int) (B tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.num))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_6540112122905407959at_num (@ (@ tptp.produc2224754261294513212nt_num F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.int) (B tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R3) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B))) (@ (@ tptp.image_5831868185956570253at_nat (@ (@ tptp.produc5667422475138734578nt_nat F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.int) (B tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R3) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B))) (@ (@ tptp.image_2653370878348428101nt_int (@ (@ tptp.produc6036585564866528938nt_int F) G)) R3)))))
% 3.35/4.34  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.nat)) (G (-> tptp.set_Pr1261947904930325089at_nat tptp.num))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_8033574621161215657at_num (@ (@ tptp.produc3932168101365401472at_num F) G)) R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.ref_a))) (= (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ tptp.produc4508741384315284437t_unit F)) tptp.produc1126150082675451753t_unit)))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_P3428181540658402820nteger tptp.produc8508995932063986495nteger) (@ tptp.produc6499014454317279255nteger F)) tptp.produc8508995932063986495nteger)))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ tptp.produc3038839249364385243_ref_a F)) tptp.produc473321116828791851t_unit)))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc2316621926130398489at_nat F) (@ (@ tptp.produc5080965012319039829_ref_a G) X2)) (@ (@ tptp.produc9060074326276436823at_nat (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc4016808307611786905at_nat F) (@ (@ tptp.produc2928627021203296111_ref_a G) X2)) (@ (@ tptp.produc2922128104949294807at_nat (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.num)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc1704413584773205829at_num F) (@ (@ tptp.produc7633249859560231688_ref_a G) X2)) (@ (@ tptp.product_Pair_nat_num (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc5147081798617427195at_nat F) (@ (@ tptp.produc8366372614399963582_ref_a G) X2)) (@ (@ tptp.product_Pair_nat_nat (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.int)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.int)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc6143945040009431475nt_int F) (@ (@ tptp.produc3558794870892339738_ref_a G) X2)) (@ (@ tptp.product_Pair_int_int (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)) (G (-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc5990651871820846223at_nat F) (@ (@ tptp.produc5988837738927868575t_unit G) X2)) (@ (@ tptp.produc9060074326276436823at_nat (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)) (G (-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc8705118745468743695at_nat F) (@ (@ tptp.produc5323809043756447493t_unit G) X2)) (@ (@ tptp.produc2922128104949294807at_nat (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.num)) (G (-> tptp.ref_a tptp.nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc3902377510303101371um_nat F) (@ (@ tptp.produc6942186945380262242t_unit G) X2)) (@ (@ tptp.product_Pair_nat_num (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.nat)) (G (-> tptp.ref_a tptp.nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc5772047106995631985at_nat F) (@ (@ tptp.produc6942186945380262242t_unit G) X2)) (@ (@ tptp.product_Pair_nat_nat (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.int)) (G (-> tptp.ref_a tptp.int)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc6768910348387636265nt_int F) (@ (@ tptp.produc5845103964736263686t_unit G) X2)) (@ (@ tptp.product_Pair_int_int (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (G (-> tptp.code_integer tptp.code_integer)) (P tptp.produc8923325533196201883nteger)) (let ((_let_1 (@ tptp.produc6499014454317279255nteger F))) (let ((_let_2 (@ tptp.produc3195571438000033749nteger G))) (= (@ _let_1 (@ _let_2 P)) (@ _let_2 (@ _let_1 P)))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (exists ((AA tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat AA) A4) (= B5 (@ (@ tptp.image_nat_rat F) AA)))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (exists ((AA tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat AA) A4) (= B5 (@ (@ tptp.image_nat_nat F) AA)))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (exists ((AA tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat AA) A4) (= B5 (@ (@ tptp.image_nat_int F) AA)))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (exists ((AA tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int AA) A4) (= B5 (@ (@ tptp.image_int_nat F) AA)))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (exists ((AA tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int AA) A4) (= B5 (@ (@ tptp.image_int_int F) AA)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (= (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.member_rat (@ F X4)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.member_nat (@ F X4)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.member_nat (@ F X4)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.member_int (@ F X4)) B5))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.member_int (@ F X4)) B5))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (not (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C2) A4) (not (= B5 (@ (@ tptp.image_nat_rat F) C2)))))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (not (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C2) A4) (not (= B5 (@ (@ tptp.image_nat_nat F) C2)))))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (not (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C2) A4) (not (= B5 (@ (@ tptp.image_nat_int F) C2)))))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (not (forall ((C2 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int C2) A4) (not (= B5 (@ (@ tptp.image_int_nat F) C2)))))))))
% 3.35/4.34  (assert (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (not (forall ((C2 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int C2) A4) (not (= B5 (@ (@ tptp.image_int_int F) C2)))))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_o) (F (-> Bool Bool)) (B5 tptp.set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_o_o F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_o_nat F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (B5 tptp.set_int)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_o_int F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_rat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_int_o F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool)) (I (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P4785046977597218846at_nat (@ (@ tptp.produc1928436952130685430_o_o_o F) G)) (@ (@ tptp.produc6957950696844810486_nat_o H) I)) (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P9057111047297513408at_int (@ (@ tptp.produc3628557804203378146at_num F) G)) (@ (@ tptp.produc8250590009387450446nt_nat H) I)) (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P4962864564169660718at_nat (@ (@ tptp.produc7071226018047599512at_nat F) G)) (@ (@ tptp.produc7251236297486395890at_nat H) I)) (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.int tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P465755969289462830at_int (@ (@ tptp.produc8070579729948654068nt_nat F) G)) (@ (@ tptp.produc8248099538878400170nt_int H) I)) (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_int_nat_int G) I)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> Bool Bool)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P5807473265676440968nt_nat (@ (@ tptp.produc3264868786340801506um_o_o F) G)) (@ (@ tptp.produc8298419091753553490_nat_o H) I)) (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_o_o_nat G) I)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P9218946435557410242nt_int (@ (@ tptp.produc1476026309457068494at_num F) G)) (@ (@ tptp.produc5667422475138734578nt_nat H) I)) (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_num_int G) I)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P5124699952429557552nt_nat (@ (@ tptp.produc4918694523301289860at_nat F) G)) (@ (@ tptp.produc4668068763237680022at_nat H) I)) (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P3772045228931366376nt_int (@ (@ tptp.produc5918048235202344416nt_nat F) G)) (@ (@ tptp.produc5664932004629684302nt_int H) I)) (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_int_nat_int G) I)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> Bool Bool)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P8901546994122883554at_nat (@ (@ tptp.produc2001155298098703512at_o_o F) G)) (@ (@ tptp.produc4787215299218314158_nat_o H) I)) (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P6334688330072917552at_int (@ (@ tptp.produc3535218481486409604at_num F) G)) (@ (@ tptp.produc7977240407231685526nt_nat H) I)) (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool)) (I (-> tptp.nat Bool)) (Prod tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc1928436952130685430_o_o_o F) G) (@ (@ (@ tptp.produc6957950696844810486_nat_o H) I) Prod)) (@ (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.nat)) (Prod tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3628557804203378146at_num F) G) (@ (@ (@ tptp.produc8250590009387450446nt_nat H) I) Prod)) (@ (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.nat tptp.nat)) (Prod tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc7071226018047599512at_nat F) G) (@ (@ (@ tptp.produc7251236297486395890at_nat H) I) Prod)) (@ (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.int tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.int)) (Prod tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc8070579729948654068nt_nat F) G) (@ (@ (@ tptp.produc8248099538878400170nt_int H) I) Prod)) (@ (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_int_nat_int G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> Bool Bool)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat Bool)) (Prod tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc3264868786340801506um_o_o F) G) (@ (@ (@ tptp.produc8298419091753553490_nat_o H) I) Prod)) (@ (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_o_o_nat G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.nat)) (Prod tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc1476026309457068494at_num F) G) (@ (@ (@ tptp.produc5667422475138734578nt_nat H) I) Prod)) (@ (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_num_int G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat tptp.nat)) (Prod tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc4918694523301289860at_nat F) G) (@ (@ (@ tptp.produc4668068763237680022at_nat H) I) Prod)) (@ (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc5918048235202344416nt_nat F) G) (@ (@ (@ tptp.produc5664932004629684302nt_int H) I) Prod)) (@ (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_int_nat_int G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> Bool Bool)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.nat Bool)) (Prod tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc2001155298098703512at_o_o F) G) (@ (@ (@ tptp.produc4787215299218314158_nat_o H) I) Prod)) (@ (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.int tptp.nat)) (Prod tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3535218481486409604at_num F) G) (@ (@ (@ tptp.produc7977240407231685526nt_nat H) I) Prod)) (@ (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)) Prod))))
% 3.35/4.34  (assert (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> Bool Bool)) (G22 (-> tptp.nat Bool))) (= (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_o_o_nat G1) G22)) (@ (@ tptp.comp_P4785046977597218846at_nat (@ (@ tptp.produc1928436952130685430_o_o_o F1) G1)) (@ (@ tptp.produc6957950696844810486_nat_o F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat))) (= (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_nat_num_int G1) G22)) (@ (@ tptp.comp_P9057111047297513408at_int (@ (@ tptp.produc3628557804203378146at_num F1) G1)) (@ (@ tptp.produc8250590009387450446nt_nat F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_nat_nat_nat G1) G22)) (@ (@ tptp.comp_P4962864564169660718at_nat (@ (@ tptp.produc7071226018047599512at_nat F1) G1)) (@ (@ tptp.produc7251236297486395890at_nat F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> tptp.int tptp.nat)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_int_nat_int G1) G22)) (@ (@ tptp.comp_P465755969289462830at_int (@ (@ tptp.produc8070579729948654068nt_nat F1) G1)) (@ (@ tptp.produc8248099538878400170nt_int F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> Bool Bool)) (G22 (-> tptp.nat Bool))) (= (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_o_o_nat G1) G22)) (@ (@ tptp.comp_P5807473265676440968nt_nat (@ (@ tptp.produc3264868786340801506um_o_o F1) G1)) (@ (@ tptp.produc8298419091753553490_nat_o F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat))) (= (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_nat_num_int G1) G22)) (@ (@ tptp.comp_P9218946435557410242nt_int (@ (@ tptp.produc1476026309457068494at_num F1) G1)) (@ (@ tptp.produc5667422475138734578nt_nat F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_nat_nat_nat G1) G22)) (@ (@ tptp.comp_P5124699952429557552nt_nat (@ (@ tptp.produc4918694523301289860at_nat F1) G1)) (@ (@ tptp.produc4668068763237680022at_nat F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> tptp.int tptp.nat)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_int_nat_int G1) G22)) (@ (@ tptp.comp_P3772045228931366376nt_int (@ (@ tptp.produc5918048235202344416nt_nat F1) G1)) (@ (@ tptp.produc5664932004629684302nt_int F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.nat tptp.nat)) (G1 (-> Bool Bool)) (G22 (-> tptp.nat Bool))) (= (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat F1) F22)) (@ (@ tptp.comp_o_o_nat G1) G22)) (@ (@ tptp.comp_P8901546994122883554at_nat (@ (@ tptp.produc2001155298098703512at_o_o F1) G1)) (@ (@ tptp.produc4787215299218314158_nat_o F22) G22)))))
% 3.35/4.34  (assert (forall ((F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.nat tptp.nat)) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat))) (= (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat F1) F22)) (@ (@ tptp.comp_nat_num_int G1) G22)) (@ (@ tptp.comp_P6334688330072917552at_int (@ (@ tptp.produc3535218481486409604at_num F1) G1)) (@ (@ tptp.produc7977240407231685526nt_nat F22) G22)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (G (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger)) (= (@ (@ tptp.produc6499014454317279255nteger F) (@ (@ tptp.produc6499014454317279255nteger G) X2)) (@ (@ tptp.produc6499014454317279255nteger (@ (@ tptp.comp_C7449957260575251196nteger F) G)) X2))))
% 3.35/4.34  (assert (forall ((Z2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat Z2) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.bNF_Gr6677838525845560078at_nat A4) F)))) (@ (@ tptp.member2643936169264416010at_nat (@ tptp.produc6011863565407846595at_nat Z2)) A4))))
% 3.35/4.34  (assert (forall ((Z2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat Z2) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.bNF_Grp_nat_nat A4) F)))) (@ (@ tptp.member_nat (@ tptp.product_fst_nat_nat Z2)) A4))))
% 3.35/4.34  (assert (forall ((Z2 tptp.produc7812382424243267045t_unit) (A4 tptp.set_ref_a) (F (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit))) (=> (@ (@ tptp.member7849944260330398460t_unit Z2) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ tptp.bNF_Gr6510375311308651680t_unit A4) F)))) (@ (@ tptp.member_ref_a (@ tptp.produc473321116828791851t_unit Z2)) A4))))
% 3.35/4.34  (assert (forall ((Z2 tptp.product_prod_int_int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int Z2) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.bNF_Grp_int_int A4) F)))) (@ (@ tptp.member_int (@ tptp.product_fst_int_int Z2)) A4))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_nat_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.num)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.image_4925883905578568901at_num (@ (@ tptp.produc1665548884793878990um_num F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.product_Pair_nat_num (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_nat_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.image_5877158439796295311at_num (@ (@ tptp.produc3535218481486409604at_num F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= C (@ (@ tptp.product_Pair_nat_num (@ F X)) (@ G Y))) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_nat_num) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.num)) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.image_6540112122905407959at_num (@ (@ tptp.produc2224754261294513212nt_num F) G)) R3)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= C (@ (@ tptp.product_Pair_nat_num (@ F X)) (@ G Y))) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.nat)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.image_4217639968629731195at_nat (@ (@ tptp.produc5108217098638100356um_nat F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.product_Pair_nat_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.image_5168914502847457605at_nat (@ (@ tptp.produc6977886695330630970at_nat F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= C (@ (@ tptp.product_Pair_nat_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_nat_nat) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.image_5831868185956570253at_nat (@ (@ tptp.produc5667422475138734578nt_nat F) G)) R3)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= C (@ (@ tptp.product_Pair_nat_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_int_int) (F (-> tptp.nat tptp.int)) (G (-> tptp.num tptp.int)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.image_1039142661021589043nt_int (@ (@ tptp.produc5477380188365894716um_int F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.product_Pair_int_int (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_int_int) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.image_1990417195239315453nt_int (@ (@ tptp.produc7347049785058425330at_int F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= C (@ (@ tptp.product_Pair_int_int (@ F X)) (@ G Y))) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.product_prod_int_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.image_2653370878348428101nt_int (@ (@ tptp.produc6036585564866528938nt_int F) G)) R3)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= C (@ (@ tptp.product_Pair_int_int (@ F X)) (@ G Y))) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((C tptp.produc3843707927480180839at_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (G (-> tptp.num tptp.set_Pr1261947904930325089at_nat)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member8757157785044589968at_nat C) (@ (@ tptp.image_2708129733610033121at_nat (@ (@ tptp.produc170006858110003436at_nat F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.produc2922128104949294807at_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))))
% 3.35/4.34  (assert (forall ((X2 Bool) (A4 tptp.set_o) (B Bool) (F (-> Bool Bool))) (=> (@ (@ tptp.member_o X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_o_o F) A4))))))
% 3.35/4.34  (assert (forall ((X2 Bool) (A4 tptp.set_o) (B tptp.nat) (F (-> Bool tptp.nat))) (=> (@ (@ tptp.member_o X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_o_nat F) A4))))))
% 3.35/4.34  (assert (forall ((X2 Bool) (A4 tptp.set_o) (B tptp.int) (F (-> Bool tptp.int))) (=> (@ (@ tptp.member_o X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_o_int F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B Bool) (F (-> tptp.nat Bool))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B tptp.int) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (B Bool) (F (-> tptp.int Bool))) (=> (@ (@ tptp.member_int X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_int_o F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (B tptp.nat) (F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member_int X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (B tptp.int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member_int X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.rat Bool))) (=> (forall ((X tptp.rat)) (=> (@ (@ tptp.member_rat X) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 X))) (forall ((X6 tptp.nat)) (=> (@ (@ tptp.member_nat X6) A4) (@ P2 (@ F X6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 X))) (forall ((X6 tptp.nat)) (=> (@ (@ tptp.member_nat X6) A4) (@ P2 (@ F X6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.int Bool))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) (@ (@ tptp.image_nat_int F) A4)) (@ P2 X))) (forall ((X6 tptp.nat)) (=> (@ (@ tptp.member_nat X6) A4) (@ P2 (@ F X6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.nat Bool))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) (@ (@ tptp.image_int_nat F) A4)) (@ P2 X))) (forall ((X6 tptp.int)) (=> (@ (@ tptp.member_int X6) A4) (@ P2 (@ F X6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) (@ (@ tptp.image_int_int F) A4)) (@ P2 X))) (forall ((X6 tptp.int)) (=> (@ (@ tptp.member_int X6) A4) (@ P2 (@ F X6)))))))
% 3.35/4.34  (assert (forall ((M tptp.set_nat) (N tptp.set_nat) (F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat))) (=> (= M N) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_nat_rat F) M) (@ (@ tptp.image_nat_rat G) N))))))
% 3.35/4.34  (assert (forall ((M tptp.set_nat) (N tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (= M N) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_nat_nat F) M) (@ (@ tptp.image_nat_nat G) N))))))
% 3.35/4.34  (assert (forall ((M tptp.set_nat) (N tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (= M N) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_nat_int F) M) (@ (@ tptp.image_nat_int G) N))))))
% 3.35/4.34  (assert (forall ((M tptp.set_int) (N tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (= M N) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_int_nat F) M) (@ (@ tptp.image_int_nat G) N))))))
% 3.35/4.34  (assert (forall ((M tptp.set_int) (N tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (= M N) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_int_int F) M) (@ (@ tptp.image_int_int G) N))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.rat Bool))) (=> (exists ((X6 tptp.rat)) (and (@ (@ tptp.member_rat X6) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 X6))) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (@ P2 (@ F X)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (=> (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 X6))) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (@ P2 (@ F X)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.int Bool))) (=> (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) (@ (@ tptp.image_nat_int F) A4)) (@ P2 X6))) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (@ P2 (@ F X)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.nat Bool))) (=> (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) (@ (@ tptp.image_int_nat F) A4)) (@ P2 X6))) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (@ P2 (@ F X)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (=> (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) (@ (@ tptp.image_int_int F) A4)) (@ P2 X6))) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (@ P2 (@ F X)))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.member_rat Z2) (@ (@ tptp.image_nat_rat F) A4)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (= Z2 (@ F X4)))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.member_nat Z2) (@ (@ tptp.image_nat_nat F) A4)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (= Z2 (@ F X4)))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.member_nat Z2) (@ (@ tptp.image_int_nat F) A4)) (exists ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (= Z2 (@ F X4)))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.member_int Z2) (@ (@ tptp.image_nat_int F) A4)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (= Z2 (@ F X4)))))))
% 3.35/4.34  (assert (forall ((Z2 tptp.int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ (@ tptp.member_int Z2) (@ (@ tptp.image_int_int F) A4)) (exists ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (= Z2 (@ F X4)))))))
% 3.35/4.34  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool Bool))) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_o_o F) A4)))))
% 3.35/4.34  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat))) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_o_nat F) A4)))))
% 3.35/4.34  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.int))) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_o_int F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_rat (@ F X2)) (@ (@ tptp.image_nat_rat F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat Bool))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_nat_o F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_nat_nat F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_nat_int F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int Bool))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_int_o F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_int_nat F) A4)))))
% 3.35/4.34  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_int_int F) A4)))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.rat)) (D (-> tptp.nat tptp.rat)) (Sup (-> tptp.set_rat tptp.rat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_nat_rat C3) A4)) (@ Sup (@ (@ tptp.image_nat_rat D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat)) (Sup (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_nat_nat C3) A4)) (@ Sup (@ (@ tptp.image_nat_nat D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int)) (Sup (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_nat_int C3) A4)) (@ Sup (@ (@ tptp.image_nat_int D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat)) (Sup (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_int_nat C3) A4)) (@ Sup (@ (@ tptp.image_int_nat D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int)) (Sup (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_int_int C3) A4)) (@ Sup (@ (@ tptp.image_int_int D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.rat)) (D (-> tptp.nat tptp.rat)) (Inf (-> tptp.set_rat tptp.rat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_nat_rat C3) A4)) (@ Inf (@ (@ tptp.image_nat_rat D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat)) (Inf (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_nat_nat C3) A4)) (@ Inf (@ (@ tptp.image_nat_nat D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int)) (Inf (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_nat_int C3) A4)) (@ Inf (@ (@ tptp.image_nat_int D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat)) (Inf (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_int_nat C3) A4)) (@ Inf (@ (@ tptp.image_int_nat D) B5)))))))
% 3.35/4.34  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int)) (Inf (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_int_int C3) A4)) (@ Inf (@ (@ tptp.image_int_int D) B5)))))))
% 3.35/4.34  (assert (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> tptp.nat Bool)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_o_o_nat A) B) C) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.34  (assert (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.int tptp.num)) (V tptp.int)) (=> (= (@ (@ tptp.comp_nat_num_int A) B) C) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.34  (assert (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) C) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.34  (assert (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (V tptp.int)) (=> (= (@ (@ tptp.comp_int_nat_int A) B) C) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.34  (assert (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (V tptp.code_integer)) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) C) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.34  (assert (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> Bool Bool)) (D2 (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_o_nat A) B) (@ (@ tptp.comp_o_o_nat C) D2)) (forall ((V4 tptp.nat)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))))
% 3.35/4.34  (assert (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.nat tptp.num)) (D2 (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_num_int A) B) (@ (@ tptp.comp_nat_num_int C) D2)) (forall ((V4 tptp.int)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))))
% 3.35/4.34  (assert (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (D2 (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) (@ (@ tptp.comp_nat_nat_nat C) D2)) (forall ((V4 tptp.nat)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))))
% 3.35/4.34  (assert (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (D2 (-> tptp.int tptp.int))) (=> (= (@ (@ tptp.comp_int_nat_int A) B) (@ (@ tptp.comp_int_nat_int C) D2)) (forall ((V4 tptp.int)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))))
% 3.35/4.34  (assert (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (D2 (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) (@ (@ tptp.comp_C8797469213163452608nteger C) D2)) (forall ((V4 tptp.code_integer)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))))
% 3.35/4.34  (assert (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> Bool Bool)) (D2 (-> tptp.nat Bool)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_o_o_nat A) B) (@ (@ tptp.comp_o_o_nat C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))))
% 3.35/4.34  (assert (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.nat tptp.num)) (D2 (-> tptp.int tptp.nat)) (V tptp.int)) (=> (= (@ (@ tptp.comp_nat_num_int A) B) (@ (@ tptp.comp_nat_num_int C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))))
% 3.35/4.34  (assert (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (D2 (-> tptp.nat tptp.nat)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) (@ (@ tptp.comp_nat_nat_nat C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))))
% 3.35/4.34  (assert (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (D2 (-> tptp.int tptp.int)) (V tptp.int)) (=> (= (@ (@ tptp.comp_int_nat_int A) B) (@ (@ tptp.comp_int_nat_int C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))))
% 3.35/4.34  (assert (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (D2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (V tptp.code_integer)) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) (@ (@ tptp.comp_C8797469213163452608nteger C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (= (@ (@ tptp.comp_nat_o_nat (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_nat_o_nat G) H))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (= (@ (@ tptp.comp_int_num_int (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H))))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) G)) H) (@ (@ tptp.comp_o_o_nat F) (@ (@ tptp.comp_o_o_nat G) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_num_num_nat F) G)) H) (@ (@ tptp.comp_num_num_int F) (@ (@ tptp.comp_nat_num_int G) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) G)) H) (@ (@ tptp.comp_nat_num_int F) (@ (@ tptp.comp_nat_nat_int G) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (= (@ (@ tptp.comp_nat_nat_nat (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_nat_nat_nat G) H))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_nat_int F))) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_int_int_int G) H))))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (= (@ (@ tptp.comp_C1593894019821074884nteger (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_C2931745410781319416nteger G) H))))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C8797469213163452608nteger (@ (@ tptp.comp_C3983183376822107068nteger F) G)) H) (@ (@ tptp.comp_C8797469213163452608nteger F) (@ (@ tptp.comp_C2822359487432382964nteger G) H)))))
% 3.35/4.34  (assert (= tptp.comp_o_o_nat (lambda ((F2 (-> Bool Bool)) (G3 (-> tptp.nat Bool)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_nat_num_int (lambda ((F2 (-> tptp.nat tptp.num)) (G3 (-> tptp.int tptp.nat)) (X4 tptp.int)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_nat_nat_nat (lambda ((F2 (-> tptp.nat tptp.nat)) (G3 (-> tptp.nat tptp.nat)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_int_nat_int (lambda ((F2 (-> tptp.int tptp.nat)) (G3 (-> tptp.int tptp.int)) (X4 tptp.int)) (@ F2 (@ G3 X4)))))
% 3.35/4.34  (assert (= tptp.comp_C8797469213163452608nteger (lambda ((F2 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G3 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X4 tptp.code_integer) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ F2 (@ G3 X4)) __flatten_var_0))))
% 3.35/4.34  (assert (forall ((Q tptp.produc1319942482725812455at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (P tptp.produc1319942482725812455at_nat)) (=> (= Q (@ (@ tptp.produc6529295065807390923at_nat F) P)) (not (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (= P (@ (@ tptp.produc9060074326276436823at_nat X) Y)) (not (= Q (@ (@ tptp.produc9060074326276436823at_nat (@ F X)) Y)))))))))
% 3.35/4.34  (assert (forall ((Q tptp.produc3843707927480180839at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (P tptp.produc3843707927480180839at_nat)) (=> (= Q (@ (@ tptp.produc5380969780118646373at_nat F) P)) (not (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (= P (@ (@ tptp.produc2922128104949294807at_nat X) Y)) (not (= Q (@ (@ tptp.produc2922128104949294807at_nat (@ F X)) Y)))))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_nat_num) (F (-> tptp.nat tptp.nat)) (P tptp.product_prod_nat_num)) (=> (= Q (@ (@ tptp.produc6767424583952363640at_num F) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (= Q (@ (@ tptp.product_Pair_nat_num (@ F X)) Y)))))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat)) (P tptp.product_prod_nat_nat)) (=> (= Q (@ (@ tptp.produc986720760941809198at_nat F) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (= Q (@ (@ tptp.product_Pair_nat_nat (@ F X)) Y)))))))))
% 3.35/4.34  (assert (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int)) (P tptp.product_prod_int_int)) (=> (= Q (@ (@ tptp.produc2355237562570658114nt_int F) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (= Q (@ (@ tptp.product_Pair_int_int (@ F X)) Y)))))))))
% 3.35/4.34  (assert (forall ((G1 (-> Bool Bool)) (G22 (-> Bool Bool)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.nat Bool)) (V tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc1928436952130685430_o_o_o G1) G22) (@ (@ (@ tptp.produc6957950696844810486_nat_o F1) F22) V)) (@ (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_o_o_nat G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> Bool Bool)) (G22 (-> tptp.nat tptp.num)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.int tptp.nat)) (V tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3628557804203378146at_num G1) G22) (@ (@ (@ tptp.produc8250590009387450446nt_nat F1) F22) V)) (@ (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_nat_num_int G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> Bool Bool)) (G22 (-> tptp.nat tptp.nat)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.nat tptp.nat)) (V tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc7071226018047599512at_nat G1) G22) (@ (@ (@ tptp.produc7251236297486395890at_nat F1) F22) V)) (@ (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_nat_nat_nat G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> Bool Bool)) (G22 (-> tptp.int tptp.nat)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.int tptp.int)) (V tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc8070579729948654068nt_nat G1) G22) (@ (@ (@ tptp.produc8248099538878400170nt_int F1) F22) V)) (@ (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_int_nat_int G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> Bool Bool)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.nat Bool)) (V tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc3264868786340801506um_o_o G1) G22) (@ (@ (@ tptp.produc8298419091753553490_nat_o F1) F22) V)) (@ (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_o_o_nat G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.nat tptp.num)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.int tptp.nat)) (V tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc1476026309457068494at_num G1) G22) (@ (@ (@ tptp.produc5667422475138734578nt_nat F1) F22) V)) (@ (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_nat_num_int G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.nat tptp.nat)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.nat tptp.nat)) (V tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc4918694523301289860at_nat G1) G22) (@ (@ (@ tptp.produc4668068763237680022at_nat F1) F22) V)) (@ (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_nat_nat_nat G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.int tptp.int)) (V tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc5918048235202344416nt_nat G1) G22) (@ (@ (@ tptp.produc5664932004629684302nt_int F1) F22) V)) (@ (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_int_nat_int G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> tptp.nat tptp.nat)) (G22 (-> Bool Bool)) (F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.nat Bool)) (V tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc2001155298098703512at_o_o G1) G22) (@ (@ (@ tptp.produc4787215299218314158_nat_o F1) F22) V)) (@ (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat G1) F1)) (@ (@ tptp.comp_o_o_nat G22) F22)) V))))
% 3.35/4.34  (assert (forall ((G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.num)) (F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.int tptp.nat)) (V tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3535218481486409604at_num G1) G22) (@ (@ (@ tptp.produc7977240407231685526nt_nat F1) F22) V)) (@ (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat G1) F1)) (@ (@ tptp.comp_nat_num_int G22) F22)) V))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr7459493094073627847at_nat) (S2 tptp.set_Pr7459493094073627847at_nat)) (=> (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le5997549366648089703at_nat R) S2))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr4329608150637261639at_nat) (S2 tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le1268244103169919719at_nat R) S2))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr6200539531224447659at_num) (S2 tptp.set_Pr6200539531224447659at_num)) (=> (forall ((X tptp.nat) (Y tptp.num)) (let ((_let_1 (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le8085105155179020875at_num R) S2))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr1261947904930325089at_nat) (S2 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le3146513528884898305at_nat R) S2))))
% 3.35/4.34  (assert (forall ((R tptp.set_Pr958786334691620121nt_int) (S2 tptp.set_Pr958786334691620121nt_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (let ((_let_1 (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le2843351958646193337nt_int R) S2))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.set_rat Bool))) (= (forall ((B6 tptp.set_rat)) (=> (@ (@ tptp.ord_less_eq_set_rat B6) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_rat F) B6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_nat F) B6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_nat_int F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_int F) B6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_int_nat F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_nat F) B6)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_int_int F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_int F) B6)))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X5 tptp.set_Pr49084382684228242at_int) (X2 tptp.produc4196048018000912732at_int)) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat A4) B5) F) G) (=> (@ (@ tptp.ord_le4604737605482584818at_int X5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o A4))) (=> (@ (@ tptp.member8394280151737582451at_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_P8635049891247748876at_int F) tptp.produc4619704898428564714at_int) X2)) (@ (@ (@ tptp.comp_i5627883460353289149at_int G) tptp.produc3064508320661873192at_int) X2)))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int)) (X5 tptp.set_Pr49084382684228242at_int) (X2 tptp.produc4196048018000912732at_int)) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int A4) B5) F) G) (=> (@ (@ tptp.ord_le4604737605482584818at_int X5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o A4))) (=> (@ (@ tptp.member8394280151737582451at_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_P4524073163769703009at_int F) tptp.produc4619704898428564714at_int) X2)) (@ (@ (@ tptp.comp_i4519014998770822500at_int G) tptp.produc3064508320661873192at_int) X2)))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool)) (X5 tptp.set_Pr49084382684228242at_int) (X2 tptp.produc4196048018000912732at_int)) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o A4) B5) F) G) (=> (@ (@ tptp.ord_le4604737605482584818at_int X5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o A4))) (=> (@ (@ tptp.member8394280151737582451at_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_P7900071416159368952at_int F) tptp.produc4619704898428564714at_int) X2)) (@ (@ (@ tptp.comp_i653165354545908656at_int G) tptp.produc3064508320661873192at_int) X2)))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num)) (X5 tptp.set_Pr8415741480598773322nteger) (X2 tptp.produc2963269191615333738nteger)) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num A4) B5) F) G) (=> (@ (@ tptp.ord_le2638047946463454698nteger X5) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o A4))) (=> (@ (@ tptp.member4345257455949424659nteger X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_i3846818780818535807nteger F) tptp.produc45500017171379470nteger) X2)) (@ (@ (@ tptp.comp_C8580465762518603278nteger G) tptp.produc2153544567185597776nteger) X2)))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num)) (X5 tptp.set_Pr958786334691620121nt_int) (X2 tptp.product_prod_int_int)) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num A4) B5) F) G) (=> (@ (@ tptp.ord_le2843351958646193337nt_int X5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o A4))) (=> (@ (@ tptp.member5262025264175285858nt_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_i7231038107349025742nt_int F) tptp.product_fst_int_int) X2)) (@ (@ (@ tptp.comp_i7231038107349025742nt_int G) tptp.product_snd_int_int) X2)))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat (@ (@ tptp.bNF_co8276296344278409722at_nat (@ (@ tptp.comp_n2711240574518091068at_nat F) tptp.product_fst_nat_nat)) (@ (@ tptp.comp_n2711240574518091068at_nat G) tptp.product_snd_nat_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ (@ tptp.bNF_vi6667456707345531737_nat_o F) G) R3))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_4710180989675653397at_nat (@ (@ tptp.bNF_co5610825919353547504at_nat (@ (@ tptp.comp_r8155216869944865719t_unit F) tptp.produc473321116828791851t_unit)) (@ (@ tptp.comp_h8354993580257045729t_unit G) tptp.produc1126150082675451753t_unit))) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ (@ tptp.bNF_vi4623496019404053219_nat_o F) G) R3))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (R3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_1990417195239315453nt_int (@ (@ tptp.bNF_co49787548815638194nt_int (@ (@ tptp.comp_n5749082658982224864at_nat F) tptp.product_fst_nat_nat)) (@ (@ tptp.comp_n5749082658982224864at_nat G) tptp.product_snd_nat_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ (@ tptp.bNF_vi8357618154448083105_int_o F) G) R3))))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.ref_a tptp.int)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.int)) (R3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_1531683682067511245nt_int (@ (@ tptp.bNF_co6607689160745551784nt_int (@ (@ tptp.comp_r7249815618783853587t_unit F) tptp.produc473321116828791851t_unit)) (@ (@ tptp.comp_h7449592329096033597t_unit G) tptp.produc1126150082675451753t_unit))) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ (@ tptp.bNF_vi7828673959370436579_int_o F) G) R3))))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5831868185956570253at_nat (@ (@ tptp.bNF_co2751916026326257842at_nat (@ (@ tptp.comp_i1292779930663060120nt_int F) tptp.product_fst_int_int)) (@ (@ tptp.comp_i1292779930663060120nt_int G) tptp.product_snd_int_int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ (@ tptp.bNF_vi2193923016096921761_nat_o F) G) R3))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (R3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2653370878348428101nt_int (@ (@ tptp.bNF_co3748779267718262122nt_int (@ (@ tptp.comp_i4330622015127193916nt_int F) tptp.product_fst_int_int)) (@ (@ tptp.comp_i4330622015127193916nt_int G) tptp.product_snd_int_int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o F) G) R3))))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (Fa (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (Ga (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P1567445206330693457at_nat (@ (@ tptp.basic_876126793109182934at_nat F) Fa)) (@ (@ tptp.produc6977886695330630970at_nat G) Ga)) (@ (@ tptp.basic_876126793109182934at_nat (@ (@ tptp.comp_nat_nat_nat F) G)) (@ (@ tptp.comp_nat_nat_nat Fa) Ga)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (Fa (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.nat)) (Ga (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P397146161216181329at_int (@ (@ tptp.basic_873636322600132658at_int F) Fa)) (@ (@ tptp.produc7974749936722635250nt_int G) Ga)) (@ (@ tptp.basic_873636322600132658at_int (@ (@ tptp.comp_nat_nat_nat F) G)) (@ (@ tptp.comp_int_nat_int Fa) Ga)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (Fa (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.int)) (Ga (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P3488689526429045841nt_nat (@ (@ tptp.basic_1875480505010237490nt_nat F) Fa)) (@ (@ tptp.produc5039722323474524658at_nat G) Ga)) (@ (@ tptp.basic_1875480505010237490nt_nat (@ (@ tptp.comp_int_nat_int F) G)) (@ (@ tptp.comp_nat_nat_nat Fa) Ga)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (Fa (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (Ga (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P2318390481314533713nt_int (@ (@ tptp.basic_1872990034501187214nt_int F) Fa)) (@ (@ tptp.produc6036585564866528938nt_int G) Ga)) (@ (@ tptp.basic_1872990034501187214nt_int (@ (@ tptp.comp_int_nat_int F) G)) (@ (@ tptp.comp_int_nat_int Fa) Ga)))))
% 3.35/4.34  (assert (= tptp.bNF_Ca968750328013420230at_nat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.nat))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_nat (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca1968104039914474786nt_nat (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.nat))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_less_eq_nat (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca966259857504369954at_int (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.int))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_int (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca1965613569405424510nt_int (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.int))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_less_eq_int (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca333620267926924494at_rat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.rat))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_rat (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca1332973979827979050nt_rat (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.rat))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_less_eq_rat (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca30959104405961555nteger (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.code_integer))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_le3102999989581377725nteger (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca402612664642806191nteger (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.code_integer))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_le3102999989581377725nteger (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca4949091444211332621at_nat (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (As (-> tptp.set_Pr1261947904930325089at_nat tptp.nat))) (forall ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_nat (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (= tptp.bNF_Ca4946600973702282345at_int (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (As (-> tptp.set_Pr1261947904930325089at_nat tptp.int))) (forall ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_int (@ As I2)) (@ As J)))))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat X5))) (=> (@ _let_1 Y4) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ tptp.fun_in_rel_nat_nat Y4))))))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_Pr958786334691620121nt_int) (Y4 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int X5))) (=> (@ _let_1 Y4) (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ tptp.fun_in_rel_int_int Y4))))))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat X5))) (=> (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ tptp.fun_in_rel_nat_nat Y4)))) (@ _let_1 Y4)))))
% 3.35/4.34  (assert (forall ((X5 tptp.set_Pr958786334691620121nt_int) (Y4 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int X5))) (=> (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ tptp.fun_in_rel_int_int Y4)))) (@ _let_1 Y4)))))
% 3.35/4.34  (assert (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T2 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.relcom8911704206367525917at_int R))) (= (@ (@ tptp.relcom2949942408940504938nt_int (@ _let_1 S2)) T2) (@ _let_1 (@ (@ tptp.relcom2949942408940504938nt_int S2) T2))))))
% 3.35/4.34  (assert (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool)) (T2 (-> tptp.code_integer tptp.code_integer Bool))) (let ((_let_1 (@ tptp.relcom967497705283160040nteger R))) (= (@ (@ tptp.relcom8320293257703906841nteger (@ _let_1 S2)) T2) (@ _let_1 (@ (@ tptp.relcom8320293257703906841nteger S2) T2))))))
% 3.35/4.34  (assert (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (T2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int (@ (@ tptp.relcom282571730187242960at_nat R) S2)) T2) (@ (@ tptp.relcom8911704206367525917at_int R) (@ (@ tptp.relcom8911704206367525917at_int S2) T2)))))
% 3.35/4.34  (assert (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.int Bool)) (T2 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger (@ (@ tptp.relcompp_int_int_int R) S2)) T2) (@ (@ tptp.relcom967497705283160040nteger R) (@ (@ tptp.relcom967497705283160040nteger S2) T2)))))
% 3.35/4.34  (assert (= tptp.relcom8911704206367525917at_int (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A5 tptp.product_prod_nat_nat) (C4 tptp.int)) (exists ((B4 tptp.product_prod_nat_nat)) (and (@ (@ R6 A5) B4) (@ (@ S4 B4) C4))))))
% 3.35/4.34  (assert (= tptp.relcom967497705283160040nteger (lambda ((R6 (-> tptp.int tptp.int Bool)) (S4 (-> tptp.int tptp.code_integer Bool)) (A5 tptp.int) (C4 tptp.code_integer)) (exists ((B4 tptp.int)) (and (@ (@ R6 A5) B4) (@ (@ S4 B4) C4))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat A4) B5) F) G))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int A4) B5) F) G))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o A4) B5) F) G))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num))) (=> (forall ((X tptp.int) (Y tptp.code_integer)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num A4) B5) F) G))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num))) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num A4) B5) F) G))))
% 3.35/4.34  (assert (forall ((Rb (-> Bool Bool Bool)) (Sd (-> Bool Bool Bool))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (@ (@ tptp.bNF_rel_fun_o_o_o_o Rb) Sd)) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_o_o_nat) tptp.comp_o_o_nat)))
% 3.35/4.34  (assert (forall ((Rb (-> Bool tptp.nat Bool)) (Sd (-> Bool tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re1515921786380824775at_nat (@ (@ tptp.bNF_re4209105892566519389_o_nat Rb) Sd)) (@ (@ tptp.bNF_re2144779315220482269at_nat (@ (@ tptp.bNF_re7523573913982466217_o_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7523573913982466217_o_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_o_o_nat) tptp.comp_nat_nat_nat)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.nat tptp.int Bool)) (Sd (-> tptp.num tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re5843449549409830101nt_nat (@ (@ tptp.bNF_re4155804983283621959um_nat Rb) Sd)) (@ (@ tptp.bNF_re3642433447925381491nt_nat (@ (@ tptp.bNF_re3713166177374151349at_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re1845987051190671011um_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_nat_num_int) tptp.comp_int_nat_int)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.nat Bool Bool)) (Sd (-> tptp.nat Bool Bool))) (@ (@ (@ (@ tptp.bNF_re3930744952143938759_nat_o (@ (@ tptp.bNF_re439150893885221597_nat_o Rb) Sd)) (@ (@ tptp.bNF_re7744223787735169245_nat_o (@ (@ tptp.bNF_re1402873238235875719_nat_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re1402873238235875719_nat_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_nat_nat_nat) tptp.comp_o_o_nat)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.nat tptp.nat Bool)) (Sd (-> tptp.nat tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat Rb) Sd)) (@ (@ tptp.bNF_re239970166668089693at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.int tptp.nat Bool)) (Sd (-> tptp.nat tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re4310571189260822741nt_num (@ (@ tptp.bNF_re9124706910656911431at_num Rb) Sd)) (@ (@ tptp.bNF_re7492190849051111027nt_num (@ (@ tptp.bNF_re4715010359784256181nt_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re272988434038980259at_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_int_nat_int) tptp.comp_nat_num_int)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.int tptp.int Bool)) (Sd (-> tptp.nat tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re6307232852808291833nt_nat (@ (@ tptp.bNF_re3715656647883201625at_nat Rb) Sd)) (@ (@ tptp.bNF_re2034674868506727813nt_nat (@ (@ tptp.bNF_re4712519889275205905nt_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_int_nat_int) tptp.comp_int_nat_int)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.nat tptp.nat Bool)) (Sd (-> tptp.num tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re3846787885862361009nt_num (@ (@ tptp.bNF_re341483209202555957um_num Rb) Sd)) (@ (@ tptp.bNF_re9099949428469764705nt_num (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_nat_num_int) tptp.comp_nat_num_int)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.num tptp.num Bool)) (Sd (-> tptp.num tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re5446066262214944985nt_num (@ (@ tptp.bNF_re4736500879113541833um_num Rb) Sd)) (@ (@ tptp.bNF_re4768042542643474933nt_num (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_num_num_int) tptp.comp_num_num_int)))
% 3.35/4.34  (assert (forall ((Rb (-> tptp.int tptp.code_integer Bool)) (Sd (-> tptp.num tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re7839584876883444355nt_num (@ (@ tptp.bNF_re6718328864250387230um_num Rb) Sd)) (@ (@ tptp.bNF_re2961086658867094474nt_num (@ (@ tptp.bNF_re982302072995117890nteger (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_int_num_int) tptp.comp_C2177396528461469320um_int)))
% 3.35/4.34  (assert (= tptp.bNF_re4555766996558763186at_nat (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> tptp.nat tptp.nat Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.nat)) (G3 (-> tptp.int tptp.nat))) (@ (@ tptp.ord_le129227817499904167_int_o R6) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o F2) G3) S4)))))
% 3.35/4.34  (assert (= tptp.bNF_re7408651293131936558nt_int (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.int tptp.int))) (@ (@ tptp.ord_le129227817499904167_int_o R6) (@ (@ (@ tptp.bNF_vi8966365312794588230_int_o F2) G3) S4)))))
% 3.35/4.34  (assert (= tptp.bNF_re717283939379294677_int_o (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le129227817499904167_int_o R6) (@ (@ (@ tptp.bNF_vi5082502771524357669nt_o_o F2) G3) S4)))))
% 3.35/4.34  (assert (= tptp.bNF_re6718328864250387230um_num (lambda ((R6 (-> tptp.int tptp.code_integer Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.code_integer tptp.num))) (@ (@ tptp.ord_le996066559646421213eger_o R6) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o F2) G3) S4)))))
% 3.35/4.34  (assert (= tptp.bNF_re7626690874201225453um_num (lambda ((R6 (-> tptp.int tptp.int Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.int tptp.num))) (@ (@ tptp.ord_le6741204236512500942_int_o R6) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o F2) G3) S4)))))
% 3.35/4.34  (assert (forall ((Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> tptp.nat tptp.nat Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Y (-> tptp.int tptp.int))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat Bool)) (Y (-> tptp.int Bool))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((Y4 (-> tptp.int tptp.code_integer Bool)) (X5 (-> tptp.int tptp.code_integer Bool)) (A4 (-> tptp.num tptp.num Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num))) (=> (forall ((X tptp.int) (Y tptp.code_integer)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((Y4 (-> tptp.int tptp.int Bool)) (X5 (-> tptp.int tptp.int Bool)) (A4 (-> tptp.num tptp.num Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num))) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat)) (Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat X5) A4) F) G) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int)) (Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool))) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int X5) A4) F) G) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Y (-> tptp.int tptp.int))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool)) (Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool))) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o X5) A4) F) G) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat Bool)) (Y (-> tptp.int Bool))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.int tptp.code_integer Bool)) (A4 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num)) (Y4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool))) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num X5) A4) F) G) (=> (forall ((X tptp.int) (Y tptp.code_integer)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.int tptp.int Bool)) (A4 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num)) (Y4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool))) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num X5) A4) F) G) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num Y4) B5) F) G))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num)) (X2 tptp.int) (Y3 tptp.code_integer)) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num)) (X2 tptp.int) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.num tptp.num Bool)) (S5 (-> tptp.num tptp.num Bool))) (= (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.relcompp_num_num_num R3) S5)) (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) S5)))))
% 3.35/4.34  (assert (forall ((R2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ tptp.ord_le5604493270027003598_nat_o R2) R) (=> (@ (@ tptp.ord_le129227817499904167_int_o S3) S2) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int R2) S3)) (@ (@ tptp.relcom8911704206367525917at_int R) S2))))))
% 3.35/4.34  (assert (forall ((R2 (-> tptp.int tptp.int Bool)) (R (-> tptp.int tptp.int Bool)) (S3 (-> tptp.int tptp.code_integer Bool)) (S2 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ tptp.ord_le6741204236512500942_int_o R2) R) (=> (@ (@ tptp.ord_le996066559646421213eger_o S3) S2) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger R2) S3)) (@ (@ tptp.relcom967497705283160040nteger R) S2))))))
% 3.35/4.34  (assert (= tptp.fun_in6812141508599261570at_nat (lambda ((R6 tptp.set_Pr7459493094073627847at_nat) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R6))))
% 3.35/4.34  (assert (= tptp.fun_in8056734985859589634at_nat (lambda ((R6 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R6))))
% 3.35/4.34  (assert (= tptp.fun_in_rel_nat_num (lambda ((R6 tptp.set_Pr6200539531224447659at_num) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R6))))
% 3.35/4.34  (assert (= tptp.fun_in_rel_nat_nat (lambda ((R6 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R6))))
% 3.35/4.34  (assert (= tptp.fun_in_rel_int_int (lambda ((R6 tptp.set_Pr958786334691620121nt_int) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R6))))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.nat tptp.nat Bool))) (= (@ tptp.fun_in_rel_nat_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o X5))) X5)))
% 3.35/4.34  (assert (forall ((X5 (-> tptp.int tptp.int Bool))) (= (@ tptp.fun_in_rel_int_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o X5))) X5)))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.nat tptp.nat Bool)) (B5 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.ord_le2646555220125990790_nat_o A4) B5) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o A4))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o B5))))))
% 3.35/4.34  (assert (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.ord_le6741204236512500942_int_o A4) B5) (@ (@ tptp.ord_le2843351958646193337nt_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o A4))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o B5))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.num tptp.num)) (F (-> tptp.nat tptp.num)) (V (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_num_num_int G) (@ (@ tptp.comp_nat_num_int F) V)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_num_num_nat G) F)) V))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (V (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_nat_int G))) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int F) V)) (@ (@ tptp.comp_int_nat_int (@ _let_1 F)) V)))))
% 3.35/4.34  (assert (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (V (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_o_o_nat G))) (= (@ _let_1 (@ (@ tptp.comp_nat_o_nat F) V)) (@ (@ tptp.comp_nat_o_nat (@ _let_1 F)) V)))))
% 3.35/4.34  (assert (forall ((G (-> Bool Bool)) (F (-> Bool Bool)) (V (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat G) (@ (@ tptp.comp_o_o_nat F) V)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o G) F)) V))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.num)) (F (-> tptp.nat tptp.nat)) (V (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int G) (@ (@ tptp.comp_nat_nat_int F) V)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat G) F)) V))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (V (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_num_int G))) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int F) V)) (@ (@ tptp.comp_int_num_int (@ _let_1 F)) V)))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (V (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat G))) (= (@ _let_1 (@ (@ tptp.comp_nat_nat_nat F) V)) (@ (@ tptp.comp_nat_nat_nat (@ _let_1 F)) V)))))
% 3.35/4.34  (assert (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (V (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_int_nat_int G))) (= (@ _let_1 (@ (@ tptp.comp_int_int_int F) V)) (@ (@ tptp.comp_int_nat_int (@ _let_1 F)) V)))))
% 3.35/4.34  (assert (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (V (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger G))) (= (@ _let_1 (@ (@ tptp.comp_C2931745410781319416nteger F) V)) (@ (@ tptp.comp_C1593894019821074884nteger (@ _let_1 F)) V)))))
% 3.35/4.34  (assert (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (V (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C8797469213163452608nteger G) (@ (@ tptp.comp_C2822359487432382964nteger F) V)) (@ (@ tptp.comp_C8797469213163452608nteger (@ (@ tptp.comp_C3983183376822107068nteger G) F)) V))))
% 3.35/4.34  (assert (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A1 tptp.product_prod_nat_nat) (A22 tptp.int)) (=> (@ (@ (@ (@ tptp.relcom8911704206367525917at_int R) S2) A1) A22) (not (forall ((B3 tptp.product_prod_nat_nat)) (=> (@ (@ R A1) B3) (not (@ (@ S2 B3) A22))))))))
% 3.35/4.34  (assert (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool)) (A1 tptp.int) (A22 tptp.code_integer)) (=> (@ (@ (@ (@ tptp.relcom967497705283160040nteger R) S2) A1) A22) (not (forall ((B3 tptp.int)) (=> (@ (@ R A1) B3) (not (@ (@ S2 B3) A22))))))))
% 3.35/4.34  (assert (= tptp.relcom8911704206367525917at_int (lambda ((R5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S (-> tptp.product_prod_nat_nat tptp.int Bool)) (A12 tptp.product_prod_nat_nat) (A23 tptp.int)) (exists ((A5 tptp.product_prod_nat_nat) (B4 tptp.product_prod_nat_nat) (C4 tptp.int)) (and (= A12 A5) (= A23 C4) (@ (@ R5 A5) B4) (@ (@ S B4) C4))))))
% 3.35/4.34  (assert (= tptp.relcom967497705283160040nteger (lambda ((R5 (-> tptp.int tptp.int Bool)) (S (-> tptp.int tptp.code_integer Bool)) (A12 tptp.int) (A23 tptp.code_integer)) (exists ((A5 tptp.int) (B4 tptp.int) (C4 tptp.code_integer)) (and (= A12 A5) (= A23 C4) (@ (@ R5 A5) B4) (@ (@ S B4) C4))))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int (lambda ((Y2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (= Y2 Z))) R3) R3)))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) R3)))
% 3.35/4.34  (assert (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A tptp.product_prod_nat_nat) (C tptp.int)) (=> (@ (@ (@ (@ tptp.relcom8911704206367525917at_int R) S2) A) C) (not (forall ((B3 tptp.product_prod_nat_nat)) (=> (@ (@ R A) B3) (not (@ (@ S2 B3) C))))))))
% 3.35/4.34  (assert (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool)) (A tptp.int) (C tptp.code_integer)) (=> (@ (@ (@ (@ tptp.relcom967497705283160040nteger R) S2) A) C) (not (forall ((B3 tptp.int)) (=> (@ (@ R A) B3) (not (@ (@ S2 B3) C))))))))
% 3.35/4.34  (assert (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (C tptp.int)) (=> (@ (@ R A) B) (=> (@ (@ S2 B) C) (@ (@ (@ (@ tptp.relcom8911704206367525917at_int R) S2) A) C)))))
% 3.35/4.34  (assert (forall ((R (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int) (S2 (-> tptp.int tptp.code_integer Bool)) (C tptp.code_integer)) (=> (@ (@ R A) B) (=> (@ (@ S2 B) C) (@ (@ (@ (@ tptp.relcom967497705283160040nteger R) S2) A) C)))))
% 3.35/4.34  (assert (forall ((H1 (-> Bool Bool)) (H22 (-> Bool Bool)) (F (-> tptp.nat Bool)) (G (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P7034811116587396339_o_nat (@ (@ tptp.produc1928436952130685430_o_o_o H1) H22)) (@ (@ tptp.bNF_convol_nat_o_o F) G)) (@ (@ tptp.bNF_convol_nat_o_o (@ (@ tptp.comp_o_o_nat H1) F)) (@ (@ tptp.comp_o_o_nat H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> Bool Bool)) (H22 (-> tptp.nat tptp.nat)) (F (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P1391661485614827491at_nat (@ (@ tptp.produc7071226018047599512at_nat H1) H22)) (@ (@ tptp.bNF_convol_nat_o_nat F) G)) (@ (@ tptp.bNF_convol_nat_o_nat (@ (@ tptp.comp_o_o_nat H1) F)) (@ (@ tptp.comp_nat_nat_nat H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> tptp.nat tptp.num)) (H22 (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P7387482301570536291um_int (@ (@ tptp.produc1476026309457068494at_num H1) H22)) (@ (@ tptp.bNF_co1177303703936631735at_nat F) G)) (@ (@ tptp.bNF_co5088337930254655563um_num (@ (@ tptp.comp_nat_num_int H1) F)) (@ (@ tptp.comp_nat_num_int H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> tptp.nat tptp.num)) (H22 (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P8376639181999047357at_int (@ (@ tptp.produc5918048235202344416nt_nat H1) H22)) (@ (@ tptp.bNF_co1174813233427581459at_int F) G)) (@ (@ tptp.bNF_co8531006144098876929um_nat (@ (@ tptp.comp_nat_num_int H1) F)) (@ (@ tptp.comp_int_nat_int H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> tptp.nat tptp.nat)) (H22 (-> Bool Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P5799945282029801519_o_nat (@ (@ tptp.produc2001155298098703512at_o_o H1) H22)) (@ (@ tptp.bNF_convol_nat_nat_o F) G)) (@ (@ tptp.bNF_convol_nat_nat_o (@ (@ tptp.comp_nat_nat_nat H1) F)) (@ (@ tptp.comp_o_o_nat H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> tptp.nat tptp.nat)) (H22 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P7430769850142754163at_nat (@ (@ tptp.produc6977886695330630970at_nat H1) H22)) (@ (@ tptp.bNF_co805650143699787099at_nat F) G)) (@ (@ tptp.bNF_co805650143699787099at_nat (@ (@ tptp.comp_nat_nat_nat H1) F)) (@ (@ tptp.comp_nat_nat_nat H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> tptp.int tptp.nat)) (H22 (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P1145193044942399421um_int (@ (@ tptp.produc1225400549393458656at_num H1) H22)) (@ (@ tptp.bNF_co2176657415837686291nt_nat F) G)) (@ (@ tptp.bNF_co6958007526947186177at_num (@ (@ tptp.comp_int_nat_int H1) F)) (@ (@ tptp.comp_nat_num_int H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> tptp.int tptp.nat)) (H22 (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P2134349925370910487at_int (@ (@ tptp.produc5667422475138734578nt_nat H1) H22)) (@ (@ tptp.bNF_co2174166945328636015nt_int F) G)) (@ (@ tptp.bNF_co1177303703936631735at_nat (@ (@ tptp.comp_int_nat_int H1) F)) (@ (@ tptp.comp_int_nat_int H22) G)))))
% 3.35/4.34  (assert (forall ((H1 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H22 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_P8564252314792299288nteger (@ (@ tptp.produc4724772261320961782nteger H1) H22)) (@ (@ tptp.bNF_co6169604788974073338nteger F) G)) (@ (@ tptp.bNF_co3156833790671340178nteger (@ (@ tptp.comp_C8797469213163452608nteger H1) F)) (@ (@ tptp.comp_C8797469213163452608nteger H22) G)))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o7658611401268416066_o_nat (@ (@ tptp.bNF_convol_o_o_o F) G)) H) (@ (@ tptp.bNF_convol_nat_o_o (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_o_o_nat G) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_n8531277669757933902um_int (@ (@ tptp.bNF_co4716684370017810927um_num F) G)) H) (@ (@ tptp.bNF_co5088337930254655563um_num (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_num_int G) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_n8574565218330151774at_nat (@ (@ tptp.bNF_co805650143699787099at_nat F) G)) H) (@ (@ tptp.bNF_co805650143699787099at_nat (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_nat_nat_nat G) H)))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_i1108739374719436894at_int (@ (@ tptp.bNF_co1177303703936631735at_nat F) G)) H) (@ (@ tptp.bNF_co1177303703936631735at_nat (@ (@ tptp.comp_int_nat_int F) H)) (@ (@ tptp.comp_int_nat_int G) H)))))
% 3.35/4.34  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C6484513282182537548nteger (@ (@ tptp.bNF_co1764293801198077070nteger F) G)) H) (@ (@ tptp.bNF_co3156833790671340178nteger (@ (@ tptp.comp_C8797469213163452608nteger F) H)) (@ (@ tptp.comp_C8797469213163452608nteger G) H)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (H (-> tptp.int tptp.int))) (=> (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int R3) S5)) T3) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int (@ (@ (@ tptp.bNF_vi763171854521451549_nat_o F) G) R3)) (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o G) H) S5))) (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o F) H) T3)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.int tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.product_prod_nat_nat)) (H (-> tptp.code_integer tptp.int))) (=> (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int R3) S5)) T3) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger (@ (@ (@ tptp.bNF_vi1204582724742824157_nat_o F) G) R3)) (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o G) H) S5))) (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o F) H) T3)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool)) (T3 (-> tptp.int tptp.code_integer Bool)) (F (-> tptp.product_prod_nat_nat tptp.int)) (G (-> tptp.product_prod_nat_nat tptp.int)) (H (-> tptp.int tptp.code_integer))) (=> (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger R3) S5)) T3) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int (@ (@ (@ tptp.bNF_vi2682369418337388893_int_o F) G) R3)) (@ (@ (@ tptp.bNF_vi33923956287962137eger_o G) H) S5))) (@ (@ (@ tptp.bNF_vi33923956287962137eger_o F) H) T3)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool)) (T3 (-> tptp.int tptp.code_integer Bool)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (H (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger R3) S5)) T3) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o F) G) R3)) (@ (@ (@ tptp.bNF_vi699694178825965831eger_o G) H) S5))) (@ (@ (@ tptp.bNF_vi699694178825965831eger_o F) H) T3)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.code_integer tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.relcom1848932251921554756er_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re40212662316476751um_num R7) S6))) (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom8320293257703906841nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.code_integer tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.relcom7779292856395800339nt_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re8313794964846168862um_num R7) S6))) (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcom328798225758222312er_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re7626690874201225453um_num R7) S6))) (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcompp_int_int_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.relcom1533066287727470739er_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re6718328864250387230um_num R7) S6))) (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (@ (@ tptp.ord_le7522433683449569238eger_o (@ (@ tptp.relcom7212586982944386682nteger (@ (@ tptp.bNF_re4712519889275205905nt_int R3) S5)) (@ (@ tptp.bNF_re3379532845092657523nteger R7) S6))) (@ (@ tptp.bNF_re3379532845092657523nteger (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.relcom4272412204205018633nt_nat (@ (@ tptp.bNF_re4555766996558763186at_nat R3) S5)) (@ (@ tptp.bNF_re3715656647883201625at_nat R7) S6))) (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom2949942408940504938nt_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.relcom531901107642208332nt_nat (@ (@ tptp.bNF_re8246922863344978751at_nat R3) S5)) (@ (@ tptp.bNF_re4555766996558763186at_nat R7) S6))) (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (@ (@ tptp.ord_le6141271677531915726eger_o (@ (@ tptp.relcom4574826104943343961nteger (@ (@ tptp.bNF_re20414067882207223nt_int R3) S5)) (@ (@ tptp.bNF_re6202762543029211035nteger R7) S6))) (@ (@ tptp.bNF_re6202762543029211035nteger (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ tptp.ord_le8615040745438789472_int_o (@ (@ tptp.relcom2127790875031262553er_int (@ (@ tptp.bNF_re8766404587435608311at_nat R3) S5)) (@ (@ tptp.bNF_re2828929484557863493at_int R7) S6))) (@ (@ tptp.bNF_re2828929484557863493at_int (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6)))))
% 3.35/4.34  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ tptp.relcom4982215633375716084nt_int (@ (@ tptp.bNF_re2241393799969408733at_nat R3) S5)) (@ (@ tptp.bNF_re7400052026677387805at_int R7) S6))) (@ (@ tptp.bNF_re7400052026677387805at_int (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6)))))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re4705727531993890431at_o_o R1))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (lambda ((Y2 (-> Bool Bool)) (Z (-> Bool Bool))) (= Y2 Z))) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ _let_1 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z))))) tptp.comp_o_o_nat) tptp.comp_o_o_nat))))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re5653821019739307937at_nat R1))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (lambda ((Y2 (-> tptp.nat tptp.nat)) (Z (-> tptp.nat tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re239970166668089693at_nat (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat))))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re6307232852808291833nt_nat (lambda ((Y2 (-> tptp.int tptp.nat)) (Z (-> tptp.int tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re2034674868506727813nt_nat (@ (@ tptp.bNF_re4712519889275205905nt_int R1) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)))) (@ (@ tptp.bNF_re3715656647883201625at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_int_nat_int) tptp.comp_int_nat_int)))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.int tptp.code_integer Bool))) (@ (@ (@ (@ tptp.bNF_re2655444144887082515er_num (lambda ((Y2 (-> tptp.nat tptp.num)) (Z (-> tptp.nat tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re5502197115626545091er_num (@ (@ tptp.bNF_re2807294637932363402at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ (@ tptp.bNF_re6718328864250387230um_num R1) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_nat_num_int) tptp.comp_n2103536230552569900nteger)))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re3846787885862361009nt_num (lambda ((Y2 (-> tptp.nat tptp.num)) (Z (-> tptp.nat tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re9099949428469764705nt_num (@ (@ tptp.bNF_re3715656647883201625at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ (@ tptp.bNF_re7626690874201225453um_num R1) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_nat_num_int) tptp.comp_nat_num_int)))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.int tptp.code_integer Bool))) (let ((_let_1 (@ tptp.bNF_re6718328864250387230um_num R1))) (@ (@ (@ (@ tptp.bNF_re4105200416192800571er_num (lambda ((Y2 (-> tptp.num tptp.num)) (Z (-> tptp.num tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re6292805115969292119er_num (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_num_num_int) tptp.comp_n8557746072492896886nteger))))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.bNF_re7626690874201225453um_num R1))) (@ (@ (@ (@ tptp.bNF_re5446066262214944985nt_num (lambda ((Y2 (-> tptp.num tptp.num)) (Z (-> tptp.num tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re4768042542643474933nt_num (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_num_num_int) tptp.comp_num_num_int))))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re4099335476084980305nt_nat (lambda ((Y2 (-> tptp.int tptp.nat)) (Z (-> tptp.int tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re3284331099615978085nt_nat (@ (@ tptp.bNF_re5552630237950767466nt_int R1) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)))) (@ (@ tptp.bNF_re4555766996558763186at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_i4471277238271202272at_nat) tptp.comp_int_nat_int)))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re2742285375668209089nt_num (lambda ((Y2 (-> tptp.nat tptp.num)) (Z (-> tptp.nat tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re2682547871993127601nt_num (@ (@ tptp.bNF_re4555766996558763186at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ (@ tptp.bNF_re8466801222876787014um_num R1) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_n8649498751204056690at_nat) tptp.comp_nat_num_int)))
% 3.35/4.34  (assert (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool))) (let ((_let_1 (@ tptp.bNF_re4555766996558763186at_nat R1))) (@ (@ (@ (@ tptp.bNF_re1160762158786734233nt_nat (lambda ((Y2 (-> tptp.nat tptp.nat)) (Z (-> tptp.nat tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re8419181437172746013nt_nat (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_n2711240574518091068at_nat) tptp.comp_nat_nat_int))))
% 3.35/4.34  (assert (forall ((R22 (-> Bool Bool Bool)) (R32 (-> Bool Bool Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re4705727531993890431at_o_o R1))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (@ (@ tptp.bNF_rel_fun_o_o_o_o R22) R32)) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_o_o_nat) tptp.comp_o_o_nat))))
% 3.35/4.34  (assert (forall ((R22 (-> Bool tptp.nat Bool)) (R32 (-> Bool tptp.num Bool)) (R1 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7387973359137000979nt_num (@ (@ tptp.bNF_re766437678722298023_o_num R22) R32)) (@ (@ tptp.bNF_re4102725726183926567nt_num (@ (@ tptp.bNF_re8210149947023016781_o_nat R1) R22)) (@ (@ tptp.bNF_re4767481733178795415_o_num R1) R32))) tptp.comp_o_o_nat) tptp.comp_nat_num_int)))
% 3.35/4.34  (assert (forall ((R22 (-> Bool tptp.nat Bool)) (R32 (-> Bool tptp.nat Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re7523573913982466217_o_nat R1))) (@ (@ (@ (@ tptp.bNF_re1515921786380824775at_nat (@ (@ tptp.bNF_re4209105892566519389_o_nat R22) R32)) (@ (@ tptp.bNF_re2144779315220482269at_nat (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_o_o_nat) tptp.comp_nat_nat_nat))))
% 3.35/4.34  (assert (forall ((R22 (-> Bool tptp.int Bool)) (R32 (-> Bool tptp.nat Bool)) (R1 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7413876800493218871nt_nat (@ (@ tptp.bNF_re4895681925607069953_o_nat R22) R32)) (@ (@ tptp.bNF_re1982657550219213441nt_nat (@ (@ tptp.bNF_re8207659476513966505_o_int R1) R22)) (@ (@ tptp.bNF_re8210149947023016781_o_nat R1) R32))) tptp.comp_o_o_nat) tptp.comp_int_nat_int)))
% 3.35/4.34  (assert (forall ((R22 (-> tptp.nat Bool Bool)) (R32 (-> tptp.num Bool Bool)) (R1 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re3931674169038344211_nat_o (@ (@ tptp.bNF_re8508505965575957011_num_o R22) R32)) (@ (@ tptp.bNF_re7435575058205011731_nat_o (@ (@ tptp.bNF_re4914077030771115051_nat_o R1) R22)) (@ (@ tptp.bNF_re3760060065607074657_num_o R1) R32))) tptp.comp_nat_num_int) tptp.comp_o_o_nat)))
% 3.35/4.34  (assert (forall ((R22 (-> tptp.nat tptp.nat Bool)) (R32 (-> tptp.num tptp.nat Bool)) (R1 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re6524732562925676389at_nat (@ (@ tptp.bNF_re3784151423046777323um_nat R22) R32)) (@ (@ tptp.bNF_re717418264989850719at_nat (@ (@ tptp.bNF_re3344003087646356989at_nat R1) R22)) (@ (@ tptp.bNF_re1474333490953826375um_nat R1) R32))) tptp.comp_nat_num_int) tptp.comp_nat_nat_nat)))
% 3.35/4.34  (assert (forall ((R22 (-> tptp.nat tptp.int Bool)) (R32 (-> tptp.num tptp.nat Bool)) (R1 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re5843449549409830101nt_nat (@ (@ tptp.bNF_re4155804983283621959um_nat R22) R32)) (@ (@ tptp.bNF_re3642433447925381491nt_nat (@ (@ tptp.bNF_re3713166177374151349at_int R1) R22)) (@ (@ tptp.bNF_re1845987051190671011um_nat R1) R32))) tptp.comp_nat_num_int) tptp.comp_int_nat_int)))
% 3.35/4.34  (assert (forall ((R22 (-> tptp.nat Bool Bool)) (R32 (-> tptp.nat Bool Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re1402873238235875719_nat_o R1))) (@ (@ (@ (@ tptp.bNF_re3930744952143938759_nat_o (@ (@ tptp.bNF_re439150893885221597_nat_o R22) R32)) (@ (@ tptp.bNF_re7744223787735169245_nat_o (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_nat_nat_nat) tptp.comp_o_o_nat))))
% 3.35/4.34  (assert (forall ((R22 (-> tptp.nat tptp.nat Bool)) (R32 (-> tptp.nat tptp.num Bool)) (R1 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re584878643992547173nt_num (@ (@ tptp.bNF_re2211152805895086571at_num R22) R32)) (@ (@ tptp.bNF_re8622501330148003679nt_num (@ (@ tptp.bNF_re6025474579976152573at_nat R1) R22)) (@ (@ tptp.bNF_re2582806366131931207at_num R1) R32))) tptp.comp_nat_nat_nat) tptp.comp_nat_num_int)))
% 3.35/4.34  (assert (forall ((R22 (-> tptp.nat tptp.nat Bool)) (R32 (-> tptp.nat tptp.nat Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re5653821019739307937at_nat R1))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat R22) R32)) (@ (@ tptp.bNF_re239970166668089693at_nat (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat))))
% 3.35/4.34  (assert (forall ((G (-> tptp.int tptp.int)) (H (-> tptp.nat tptp.int)) (R12 (-> tptp.nat tptp.int)) (R23 (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (L (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_int_int_nat G) H) (@ (@ tptp.comp_nat_int_nat R12) R23)) (=> (= (@ (@ tptp.comp_int_nat_nat F) R12) L) (= (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int F) G)) H) (@ (@ tptp.comp_nat_nat_nat L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.int)) (H (-> tptp.nat tptp.nat)) (R12 (-> tptp.int tptp.int)) (R23 (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_int_nat G) H) (@ (@ tptp.comp_int_int_nat R12) R23)) (=> (= (@ (@ tptp.comp_int_nat_int F) R12) L) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_int_nat_nat F) G)) H) (@ (@ tptp.comp_int_nat_nat L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int)) (R12 (-> tptp.int tptp.int)) (R23 (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ (@ tptp.comp_int_int_int G) H) (@ (@ tptp.comp_int_int_int R12) R23)) (=> (= (@ _let_1 R12) L) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ (@ tptp.comp_int_nat_int L) R23)))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R12 (-> Bool Bool)) (R23 (-> tptp.nat Bool)) (F (-> Bool Bool)) (L (-> Bool Bool))) (=> (= (@ (@ tptp.comp_nat_o_nat G) H) (@ (@ tptp.comp_o_o_nat R12) R23)) (=> (= (@ (@ tptp.comp_o_o_o F) R12) L) (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) G)) H) (@ (@ tptp.comp_o_o_nat L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R12 (-> Bool Bool)) (R23 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (L (-> Bool tptp.nat))) (=> (= (@ (@ tptp.comp_nat_o_nat G) H) (@ (@ tptp.comp_o_o_nat R12) R23)) (=> (= (@ (@ tptp.comp_o_nat_o F) R12) L) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat F) G)) H) (@ (@ tptp.comp_o_nat_nat L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.int tptp.num)) (H (-> tptp.int tptp.int)) (R12 (-> tptp.nat tptp.num)) (R23 (-> tptp.int tptp.nat)) (F (-> tptp.num tptp.nat)) (L (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_int_num_int G) H) (@ (@ tptp.comp_nat_num_int R12) R23)) (=> (= (@ (@ tptp.comp_num_nat_nat F) R12) L) (= (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_num_nat_int F) G)) H) (@ (@ tptp.comp_nat_nat_int L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.int tptp.nat)) (H (-> tptp.nat tptp.int)) (R12 (-> tptp.nat tptp.nat)) (R23 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.num)) (L (-> tptp.nat tptp.num))) (=> (= (@ (@ tptp.comp_int_nat_nat G) H) (@ (@ tptp.comp_nat_nat_nat R12) R23)) (=> (= (@ (@ tptp.comp_nat_num_nat F) R12) L) (= (@ (@ tptp.comp_int_num_nat (@ (@ tptp.comp_nat_num_int F) G)) H) (@ (@ tptp.comp_nat_num_nat L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> Bool tptp.nat)) (H (-> tptp.nat Bool)) (R12 (-> tptp.nat tptp.nat)) (R23 (-> tptp.nat tptp.nat)) (F (-> tptp.nat Bool)) (L (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_nat_nat G) H) (@ (@ tptp.comp_nat_nat_nat R12) R23)) (=> (= (@ (@ tptp.comp_nat_o_nat F) R12) L) (= (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_nat_o_o F) G)) H) (@ (@ tptp.comp_nat_o_nat L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R12 (-> tptp.int tptp.nat)) (R23 (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.nat)) (L (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_nat_int G) H) (@ (@ tptp.comp_int_nat_int R12) R23)) (=> (= (@ (@ tptp.comp_nat_nat_int F) R12) L) (= (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_nat_nat_nat F) G)) H) (@ (@ tptp.comp_int_nat_int L) R23))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R12 (-> tptp.int tptp.nat)) (R23 (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.num)) (L (-> tptp.int tptp.num))) (=> (= (@ (@ tptp.comp_nat_nat_int G) H) (@ (@ tptp.comp_int_nat_int R12) R23)) (=> (= (@ (@ tptp.comp_nat_num_int F) R12) L) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) G)) H) (@ (@ tptp.comp_int_num_int L) R23))))))
% 3.35/4.34  (assert (forall ((F (-> Bool tptp.nat)) (G (-> Bool Bool)) (L1 (-> tptp.nat tptp.nat)) (L2 (-> Bool tptp.nat)) (H (-> tptp.nat Bool)) (R (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_o_nat_o F) G) (@ (@ tptp.comp_nat_nat_o L1) L2)) (=> (= (@ (@ tptp.comp_o_nat_nat L2) H) R) (= (@ (@ tptp.comp_o_nat_nat F) (@ (@ tptp.comp_o_o_nat G) H)) (@ (@ tptp.comp_nat_nat_nat L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.nat tptp.num)) (L1 (-> tptp.nat tptp.num)) (L2 (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_num_num_nat F) G) (@ (@ tptp.comp_nat_num_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_nat_int L2) H) R) (= (@ (@ tptp.comp_num_num_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_nat_num_int L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num tptp.nat)) (G (-> tptp.nat tptp.num)) (L1 (-> tptp.int tptp.nat)) (L2 (-> tptp.nat tptp.int)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.int))) (=> (= (@ (@ tptp.comp_num_nat_nat F) G) (@ (@ tptp.comp_int_nat_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_int_int L2) H) R) (= (@ (@ tptp.comp_num_nat_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_int_nat_int L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (L1 (-> Bool Bool)) (L2 (-> Bool Bool)) (H (-> tptp.nat Bool)) (R (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_o_o F) G) (@ (@ tptp.comp_o_o_o L1) L2)) (=> (= (@ (@ tptp.comp_o_o_nat L2) H) R) (= (@ (@ tptp.comp_o_o_nat F) (@ (@ tptp.comp_o_o_nat G) H)) (@ (@ tptp.comp_o_o_nat L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> Bool tptp.nat)) (L1 (-> Bool tptp.nat)) (L2 (-> Bool Bool)) (H (-> tptp.nat Bool)) (R (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_nat_nat_o F) G) (@ (@ tptp.comp_o_nat_o L1) L2)) (=> (= (@ (@ tptp.comp_o_o_nat L2) H) R) (= (@ (@ tptp.comp_nat_nat_nat F) (@ (@ tptp.comp_o_nat_nat G) H)) (@ (@ tptp.comp_o_nat_nat L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (L1 (-> tptp.num tptp.num)) (L2 (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.num))) (=> (= (@ (@ tptp.comp_nat_num_nat F) G) (@ (@ tptp.comp_num_num_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_num_int L2) H) R) (= (@ (@ tptp.comp_nat_num_int F) (@ (@ tptp.comp_nat_nat_int G) H)) (@ (@ tptp.comp_num_num_int L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.int)) (L1 (-> tptp.num tptp.nat)) (L2 (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.num))) (=> (= (@ (@ tptp.comp_int_nat_nat F) G) (@ (@ tptp.comp_num_nat_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_num_int L2) H) R) (= (@ (@ tptp.comp_int_nat_int F) (@ (@ tptp.comp_nat_int_int G) H)) (@ (@ tptp.comp_num_nat_int L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num Bool)) (G (-> tptp.nat tptp.num)) (L1 (-> Bool Bool)) (L2 (-> tptp.nat Bool)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int Bool))) (=> (= (@ (@ tptp.comp_num_o_nat F) G) (@ (@ tptp.comp_o_o_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_o_int L2) H) R) (= (@ (@ tptp.comp_num_o_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_o_o_int L1) R))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat)) (L1 (-> Bool Bool)) (L2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat L1))) (let ((_let_2 (@ tptp.comp_nat_o_nat F))) (=> (= (@ _let_2 G) (@ _let_1 L2)) (=> (= (@ (@ tptp.comp_nat_o_nat L2) H) R) (= (@ _let_2 (@ (@ tptp.comp_nat_nat_nat G) H)) (@ _let_1 R))))))))
% 3.35/4.34  (assert (forall ((F (-> tptp.num tptp.nat)) (G (-> tptp.nat tptp.num)) (L1 (-> tptp.nat tptp.nat)) (L2 (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_num_nat_nat F) G) (@ (@ tptp.comp_nat_nat_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_nat_int L2) H) R) (= (@ (@ tptp.comp_num_nat_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_nat_nat_int L1) R))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R (-> tptp.nat Bool)) (F (-> Bool Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (=> (= (@ (@ tptp.comp_nat_o_nat G) H) R) (= (@ (@ tptp.comp_nat_o_nat (@ _let_1 G)) H) (@ _let_1 R))))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num))) (=> (= (@ (@ tptp.comp_nat_nat_int G) H) R) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) G)) H) (@ (@ tptp.comp_nat_num_int F) R)))))
% 3.35/4.34  (assert (forall ((G (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int)) (R (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ (@ tptp.comp_int_int_int G) H) R) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 R))))))
% 3.35/4.34  (assert (forall ((G (-> Bool Bool)) (H (-> tptp.nat Bool)) (R (-> tptp.nat Bool)) (F (-> Bool Bool))) (=> (= (@ (@ tptp.comp_o_o_nat G) H) R) (= (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) G)) H) (@ (@ tptp.comp_o_o_nat F) R)))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.num)) (F (-> tptp.num tptp.num))) (=> (= (@ (@ tptp.comp_nat_num_int G) H) R) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_num_num_nat F) G)) H) (@ (@ tptp.comp_num_num_int F) R)))))
% 3.35/4.34  (assert (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat)) (R (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (=> (= (@ (@ tptp.comp_nat_nat_nat G) H) R) (= (@ (@ tptp.comp_nat_nat_nat (@ _let_1 G)) H) (@ _let_1 R))))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (R (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num))) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (=> (= (@ (@ tptp.comp_int_nat_int G) H) R) (= (@ (@ tptp.comp_int_num_int (@ _let_1 G)) H) (@ _let_1 R))))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (R (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_int F))) (=> (= (@ (@ tptp.comp_int_nat_int G) H) R) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 R))))))
% 3.35/4.35  (assert (forall ((G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer)) (R (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (=> (= (@ (@ tptp.comp_C2931745410781319416nteger G) H) R) (= (@ (@ tptp.comp_C1593894019821074884nteger (@ _let_1 G)) H) (@ _let_1 R))))))
% 3.35/4.35  (assert (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (R (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (= (@ (@ tptp.comp_C2822359487432382964nteger G) H) R) (= (@ (@ tptp.comp_C8797469213163452608nteger (@ (@ tptp.comp_C3983183376822107068nteger F) G)) H) (@ (@ tptp.comp_C8797469213163452608nteger F) R)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.nat tptp.num)) (L (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_num_num_nat F) G) L) (= (@ (@ tptp.comp_num_num_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_nat_num_int L) H)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_nat_int F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H)) (@ (@ tptp.comp_int_nat_int L) H))))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (L (-> Bool Bool)) (H (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_o_o F) G) L) (= (@ (@ tptp.comp_o_o_nat F) (@ (@ tptp.comp_o_o_nat G) H)) (@ (@ tptp.comp_o_o_nat L) H)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (L (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_num_nat F) G) L) (= (@ (@ tptp.comp_nat_num_int F) (@ (@ tptp.comp_nat_nat_int G) H)) (@ (@ tptp.comp_nat_num_int L) H)))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (L (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_nat_o_nat G) H)) (@ (@ tptp.comp_nat_o_nat L) H))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.num)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H)) (@ (@ tptp.comp_int_num_int L) H))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (L (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_nat_nat_nat G) H)) (@ (@ tptp.comp_nat_nat_nat L) H))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (L (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_int_int_int G) H)) (@ (@ tptp.comp_int_nat_int L) H))))))
% 3.35/4.35  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (L (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_C2931745410781319416nteger G) H)) (@ (@ tptp.comp_C1593894019821074884nteger L) H))))))
% 3.35/4.35  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (L (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (= (@ (@ tptp.comp_C3983183376822107068nteger F) G) L) (= (@ (@ tptp.comp_C8797469213163452608nteger F) (@ (@ tptp.comp_C2822359487432382964nteger G) H)) (@ (@ tptp.comp_C8797469213163452608nteger L) H)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (N (-> Bool Bool)) (H (-> tptp.nat Bool)) (F (-> Bool Bool))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) M)) G) X2) (@ (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (N (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_num_int (@ (@ tptp.comp_nat_num_int F) M)) G) X2) (@ (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (N (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_nat_nat_nat F) M)) G) X2) (@ (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_nat_nat_int F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.int tptp.int)) (G (-> tptp.nat tptp.int)) (X2 tptp.nat) (N (-> tptp.nat tptp.int)) (H (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int F) M)) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_int_nat_nat F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (N (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (F (-> Bool Bool))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) M)) G) X2) (@ (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (N (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.num))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) M)) G) X2) (@ (@ (@ tptp.comp_int_num_int (@ (@ tptp.comp_nat_num_int F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (N (-> tptp.int tptp.int)) (H (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_int_nat_nat F) M)) G) X2) (@ (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (N (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_nat_nat (@ _let_1 M)) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat (@ _let_1 N)) H) X2))))))
% 3.35/4.35  (assert (forall ((M (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (N (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_nat_nat_int F) M)) G) X2) (@ (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_nat_nat_nat F) N)) H) X2)))))
% 3.35/4.35  (assert (forall ((M (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (N (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_nat_int (@ _let_1 M)) G) X2) (@ (@ (@ tptp.comp_int_nat_int (@ _let_1 N)) H) X2))))))
% 3.35/4.35  (assert (forall ((B5 (-> Bool Bool Bool)) (C3 (-> Bool Bool Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re4705727531993890431at_o_o A4))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (@ (@ tptp.bNF_rel_fun_o_o_o_o B5) C3)) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_o_o_nat) tptp.comp_o_o_nat))))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.nat Bool)) (C3 (-> Bool tptp.num Bool)) (A4 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7387973359137000979nt_num (@ (@ tptp.bNF_re766437678722298023_o_num B5) C3)) (@ (@ tptp.bNF_re4102725726183926567nt_num (@ (@ tptp.bNF_re8210149947023016781_o_nat A4) B5)) (@ (@ tptp.bNF_re4767481733178795415_o_num A4) C3))) tptp.comp_o_o_nat) tptp.comp_nat_num_int)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.nat Bool)) (C3 (-> Bool tptp.nat Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re7523573913982466217_o_nat A4))) (@ (@ (@ (@ tptp.bNF_re1515921786380824775at_nat (@ (@ tptp.bNF_re4209105892566519389_o_nat B5) C3)) (@ (@ tptp.bNF_re2144779315220482269at_nat (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_o_o_nat) tptp.comp_nat_nat_nat))))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.int Bool)) (C3 (-> Bool tptp.nat Bool)) (A4 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7413876800493218871nt_nat (@ (@ tptp.bNF_re4895681925607069953_o_nat B5) C3)) (@ (@ tptp.bNF_re1982657550219213441nt_nat (@ (@ tptp.bNF_re8207659476513966505_o_int A4) B5)) (@ (@ tptp.bNF_re8210149947023016781_o_nat A4) C3))) tptp.comp_o_o_nat) tptp.comp_int_nat_int)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat Bool Bool)) (C3 (-> tptp.num Bool Bool)) (A4 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re3931674169038344211_nat_o (@ (@ tptp.bNF_re8508505965575957011_num_o B5) C3)) (@ (@ tptp.bNF_re7435575058205011731_nat_o (@ (@ tptp.bNF_re4914077030771115051_nat_o A4) B5)) (@ (@ tptp.bNF_re3760060065607074657_num_o A4) C3))) tptp.comp_nat_num_int) tptp.comp_o_o_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.nat Bool)) (C3 (-> tptp.num tptp.nat Bool)) (A4 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re6524732562925676389at_nat (@ (@ tptp.bNF_re3784151423046777323um_nat B5) C3)) (@ (@ tptp.bNF_re717418264989850719at_nat (@ (@ tptp.bNF_re3344003087646356989at_nat A4) B5)) (@ (@ tptp.bNF_re1474333490953826375um_nat A4) C3))) tptp.comp_nat_num_int) tptp.comp_nat_nat_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.int Bool)) (C3 (-> tptp.num tptp.nat Bool)) (A4 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re5843449549409830101nt_nat (@ (@ tptp.bNF_re4155804983283621959um_nat B5) C3)) (@ (@ tptp.bNF_re3642433447925381491nt_nat (@ (@ tptp.bNF_re3713166177374151349at_int A4) B5)) (@ (@ tptp.bNF_re1845987051190671011um_nat A4) C3))) tptp.comp_nat_num_int) tptp.comp_int_nat_int)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat Bool Bool)) (C3 (-> tptp.nat Bool Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re1402873238235875719_nat_o A4))) (@ (@ (@ (@ tptp.bNF_re3930744952143938759_nat_o (@ (@ tptp.bNF_re439150893885221597_nat_o B5) C3)) (@ (@ tptp.bNF_re7744223787735169245_nat_o (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_nat_nat_nat) tptp.comp_o_o_nat))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.nat Bool)) (C3 (-> tptp.nat tptp.num Bool)) (A4 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re584878643992547173nt_num (@ (@ tptp.bNF_re2211152805895086571at_num B5) C3)) (@ (@ tptp.bNF_re8622501330148003679nt_num (@ (@ tptp.bNF_re6025474579976152573at_nat A4) B5)) (@ (@ tptp.bNF_re2582806366131931207at_num A4) C3))) tptp.comp_nat_nat_nat) tptp.comp_nat_num_int)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.nat Bool)) (C3 (-> tptp.nat tptp.nat Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re5653821019739307937at_nat A4))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat B5) C3)) (@ (@ tptp.bNF_re239970166668089693at_nat (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat))))
% 3.35/4.35  (assert (= tptp.bNF_re4555766996558763186at_nat (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> tptp.nat tptp.nat Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.nat)) (G3 (-> tptp.int tptp.nat))) (@ (@ tptp.ord_le2646555220125990790_nat_o (@ (@ (@ tptp.bNF_Gr6955563364113978072nt_nat F2) G3) R6)) S4))))
% 3.35/4.35  (assert (= tptp.bNF_re7408651293131936558nt_int (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.int tptp.int))) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ (@ tptp.bNF_Gr1354378531936274772nt_int F2) G3) R6)) S4))))
% 3.35/4.35  (assert (= tptp.bNF_re717283939379294677_int_o (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2932013042137311317nt_o_o (@ (@ (@ tptp.bNF_Gr364077372107685167_int_o F2) G3) R6)) S4))))
% 3.35/4.35  (assert (= tptp.bNF_re6718328864250387230um_num (lambda ((R6 (-> tptp.int tptp.code_integer Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.code_integer tptp.num))) (@ (@ tptp.ord_le6124364862034508274_num_o (@ (@ (@ tptp.bNF_Gr166583433173494904er_num F2) G3) R6)) S4))))
% 3.35/4.35  (assert (= tptp.bNF_re7626690874201225453um_num (lambda ((R6 (-> tptp.int tptp.int Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.int tptp.num))) (@ (@ tptp.ord_le6124364862034508274_num_o (@ (@ (@ tptp.bNF_Gr7020624548710275655nt_num F2) G3) R6)) S4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (= (@ (@ (@ tptp.comp_P5371577678113413053at_nat (@ (@ tptp.produc4918694523301289860at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co805650143699787099at_nat tptp.id_nat) G)) X2) (@ (@ (@ tptp.bNF_co8159352583862032293um_nat (@ (@ tptp.comp_num_num_nat tptp.id_num) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.nat)) (G (-> Bool tptp.nat)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P196761593691424337_nat_o (@ (@ tptp.produc6587185857518356756at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_convol_o_o_nat tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_nat_nat (@ (@ tptp.comp_nat_nat_o tptp.id_nat) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (G (-> Bool tptp.nat)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P1422407636550552773_nat_o (@ (@ tptp.produc7071226018047599512at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_convol_o_o_nat tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_o_nat (@ (@ tptp.comp_o_o_o tptp.id_o) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.num)) (G (-> Bool tptp.nat)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P972951341003599239_nat_o (@ (@ tptp.produc4527993685489015646at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_convol_o_o_nat tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_num_nat (@ (@ tptp.comp_num_num_o tptp.id_num) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.num tptp.nat)) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (= (@ (@ (@ tptp.comp_P2539519431309506803at_num (@ (@ tptp.produc4208724500416182148at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co6100160411832691183um_nat tptp.id_num) G)) X2) (@ (@ (@ tptp.bNF_co7969830008525221797at_nat (@ (@ tptp.comp_nat_nat_num tptp.id_nat) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.num Bool)) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (= (@ (@ (@ tptp.comp_P3192427084145116251at_num (@ (@ tptp.produc8319293927732033832at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co6100160411832691183um_nat tptp.id_num) G)) X2) (@ (@ (@ tptp.bNF_convol_num_o_nat (@ (@ tptp.comp_o_o_num tptp.id_o) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (= (@ (@ (@ tptp.comp_P480327259280165693at_num (@ (@ tptp.produc2149532328386841038at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co6100160411832691183um_nat tptp.id_num) G)) X2) (@ (@ (@ tptp.bNF_co6100160411832691183um_nat (@ (@ tptp.comp_num_num_num tptp.id_num) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat Bool)) (X2 tptp.nat)) (= (@ (@ (@ tptp.comp_P6576135029341976421_o_nat (@ (@ tptp.produc3264868786340801506um_o_o F) tptp.id_o)) (@ (@ tptp.bNF_convol_nat_nat_o tptp.id_nat) G)) X2) (@ (@ (@ tptp.bNF_convol_nat_num_o (@ (@ tptp.comp_num_num_nat tptp.id_num) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.nat)) (G (-> Bool Bool)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P1471321874221585045at_o_o (@ (@ tptp.produc9141321880750005618at_o_o F) tptp.id_o)) (@ (@ tptp.bNF_convol_o_o_o tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_nat_o (@ (@ tptp.comp_nat_nat_o tptp.id_nat) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P551574746845053877_o_o_o (@ (@ tptp.produc1928436952130685430_o_o_o F) tptp.id_o)) (@ (@ tptp.bNF_convol_o_o_o tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_o_o (@ (@ tptp.comp_o_o_o tptp.id_o) F)) G) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le513522071413781156et_rat (@ (@ tptp.image_4408659257933336347et_rat _let_1) (@ tptp.finite_Fpow_nat A4))) (@ tptp.finite_Fpow_rat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) (@ tptp.finite_Fpow_nat A4))) (@ tptp.finite_Fpow_nat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_3739036796817536367et_int _let_1) (@ tptp.finite_Fpow_nat A4))) (@ tptp.finite_Fpow_int B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_4702325430467532143et_nat _let_1) (@ tptp.finite_Fpow_int A4))) (@ tptp.finite_Fpow_nat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_524474410958335435et_int _let_1) (@ tptp.finite_Fpow_int A4))) (@ tptp.finite_Fpow_int B5))))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (G (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member2643936169264416010at_nat X2) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ (@ tptp.bNF_co147202357524637304at_nat tptp.id_set2334057505560298834at_nat) G) X2)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.bNF_Gr6677838525845560078at_nat A4) G)))))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ (@ tptp.bNF_co805650143699787099at_nat tptp.id_nat) G) X2)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.bNF_Grp_nat_nat A4) G)))))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_co2174166945328636015nt_int tptp.id_int) G) X2)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.bNF_Grp_int_int A4) G)))))))
% 3.35/4.35  (assert (= (@ tptp.image_o_o tptp.id_o) tptp.id_set_o))
% 3.35/4.35  (assert (= (@ tptp.image_num_num tptp.id_num) tptp.id_set_num))
% 3.35/4.35  (assert (= (@ tptp.image_nat_nat tptp.id_nat) tptp.id_set_nat))
% 3.35/4.35  (assert (= (@ tptp.image_int_int tptp.id_int) tptp.id_set_int))
% 3.35/4.35  (assert (forall ((T2 (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat tptp.id_o) T2) T2)))
% 3.35/4.35  (assert (forall ((T2 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat tptp.id_nat) T2) T2)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat F) tptp.id_nat) F)))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_int_nat_int F) tptp.id_int) F)))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat tptp.id_o) G) G)))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat tptp.id_nat) G) G)))
% 3.35/4.35  (assert (= (@ tptp.produc5456455677105495163at_nat tptp.produc9060074326276436823at_nat) tptp.id_Pro6043886709289754456at_nat))
% 3.35/4.35  (assert (= (@ tptp.produc7548845685434208379at_nat tptp.produc2922128104949294807at_nat) tptp.id_Pro8722402698821300696at_nat))
% 3.35/4.35  (assert (= (@ tptp.produc49306077274653107at_num tptp.product_Pair_nat_num) tptp.id_Pro8267972854940751164at_num))
% 3.35/4.35  (assert (= (@ tptp.produc2626176000494625587at_nat tptp.product_Pair_nat_nat) tptp.id_Pro7559728917991913458at_nat))
% 3.35/4.35  (assert (= (@ tptp.produc4245557441103728435nt_int tptp.product_Pair_int_int) tptp.id_Pro4381231610383771306nt_int))
% 3.35/4.35  (assert (= (@ tptp.produc6499014454317279255nteger tptp.id_Code_integer) tptp.id_Pro2309048762231606924nteger))
% 3.35/4.35  (assert (= (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) tptp.top_to2503719809363509323t_unit) tptp.top_top_set_ref_a))
% 3.35/4.35  (assert (= (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) tptp.top_to2503719809363509323t_unit) tptp.top_to3956321331435058429t_unit))
% 3.35/4.35  (assert (= (@ tptp.comp_o_o_nat tptp.id_o) tptp.id_nat_o))
% 3.35/4.35  (assert (= (@ tptp.comp_nat_nat_nat tptp.id_nat) tptp.id_nat_nat))
% 3.35/4.35  (assert (= (@ (@ tptp.image_o_o tptp.id_o) tptp.top_top_set_o) tptp.top_top_set_o))
% 3.35/4.35  (assert (= (@ (@ tptp.image_num_num tptp.id_num) tptp.top_top_set_num) tptp.top_top_set_num))
% 3.35/4.35  (assert (= (@ (@ tptp.image_char_char tptp.id_char) tptp.top_top_set_char) tptp.top_top_set_char))
% 3.35/4.35  (assert (= (@ (@ tptp.image_7976474329151083847st_nat tptp.id_list_nat) tptp.top_top_set_list_nat) tptp.top_top_set_list_nat))
% 3.35/4.35  (assert (= (@ (@ tptp.image_rat_rat tptp.id_rat) tptp.top_top_set_rat) tptp.top_top_set_rat))
% 3.35/4.35  (assert (= (@ (@ tptp.image_nat_nat tptp.id_nat) tptp.top_top_set_nat) tptp.top_top_set_nat))
% 3.35/4.35  (assert (= (@ (@ tptp.image_int_int tptp.id_int) tptp.top_top_set_int) tptp.top_top_set_int))
% 3.35/4.35  (assert (forall ((X2 Bool) (Y3 Bool)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_o_o tptp.top_top_set_o) tptp.id_o) X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.num) (Y3 tptp.num)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_num_num tptp.top_top_set_num) tptp.id_num) X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.char) (Y3 tptp.char)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_char_char tptp.top_top_set_char) tptp.id_char) X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.list_nat) (Y3 tptp.list_nat)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Gr600725020315365264st_nat tptp.top_top_set_list_nat) tptp.id_list_nat) X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.rat) (Y3 tptp.rat)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat) tptp.id_rat) X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_nat_nat tptp.top_top_set_nat) tptp.id_nat) X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) tptp.id_int) X2) Y3))))
% 3.35/4.35  (assert (= (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_o_o tptp.top_top_set_o) tptp.id_o)))
% 3.35/4.35  (assert (= (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_num_num tptp.top_top_set_num) tptp.id_num)))
% 3.35/4.35  (assert (= (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_char_char tptp.top_top_set_char) tptp.id_char)))
% 3.35/4.35  (assert (= (lambda ((Y2 tptp.list_nat) (Z tptp.list_nat)) (= Y2 Z)) (@ (@ tptp.bNF_Gr600725020315365264st_nat tptp.top_top_set_list_nat) tptp.id_list_nat)))
% 3.35/4.35  (assert (= (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat) tptp.id_rat)))
% 3.35/4.35  (assert (= (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_nat_nat tptp.top_top_set_nat) tptp.id_nat)))
% 3.35/4.35  (assert (= (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) tptp.id_int)))
% 3.35/4.35  (assert (forall ((Inf (-> tptp.set_o Bool)) (A4 tptp.set_o)) (= (@ Inf (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ Inf A4))))
% 3.35/4.35  (assert (forall ((Inf (-> tptp.set_num tptp.num)) (A4 tptp.set_num)) (= (@ Inf (@ (@ tptp.image_num_num tptp.id_num) A4)) (@ Inf A4))))
% 3.35/4.35  (assert (forall ((Inf (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ Inf A4))))
% 3.35/4.35  (assert (forall ((Inf (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ Inf A4))))
% 3.35/4.35  (assert (forall ((Sup (-> tptp.set_o Bool)) (A4 tptp.set_o)) (= (@ Sup (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ Sup A4))))
% 3.35/4.35  (assert (forall ((Sup (-> tptp.set_num tptp.num)) (A4 tptp.set_num)) (= (@ Sup (@ (@ tptp.image_num_num tptp.id_num) A4)) (@ Sup A4))))
% 3.35/4.35  (assert (forall ((Sup (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ Sup A4))))
% 3.35/4.35  (assert (forall ((Sup (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ Sup A4))))
% 3.35/4.35  (assert (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> tptp.nat Bool)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_o_o_nat A) B) (@ (@ tptp.comp_o_o_nat tptp.id_o) C)) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.35  (assert (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.int tptp.num)) (V tptp.int)) (=> (= (@ (@ tptp.comp_nat_num_int A) B) (@ (@ tptp.comp_num_num_int tptp.id_num) C)) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.35  (assert (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) (@ (@ tptp.comp_nat_nat_nat tptp.id_nat) C)) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.35  (assert (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (V tptp.int)) (=> (= (@ (@ tptp.comp_int_nat_int A) B) (@ (@ tptp.comp_nat_nat_int tptp.id_nat) C)) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.35  (assert (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (V tptp.code_integer)) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) (@ (@ tptp.comp_P3928908779438215820nteger tptp.id_Pro496765588584934260nteger) C)) (= (@ A (@ B V)) (@ C V)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat F) G) tptp.id_nat) (= (@ F (@ G X2)) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (exists ((X tptp.char)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (exists ((X tptp.char)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (exists ((X tptp.char)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_char_int F) tptp.top_top_set_char) tptp.top_top_set_int) (exists ((X tptp.char)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_rat_char F) tptp.top_top_set_rat) tptp.top_top_set_char) (exists ((X tptp.rat)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (exists ((X tptp.rat)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (exists ((X tptp.rat)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (exists ((X tptp.rat)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_nat_char F) tptp.top_top_set_nat) tptp.top_top_set_char) (exists ((X tptp.nat)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (exists ((X tptp.nat)) (= Y3 (@ F X))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_char_int F) tptp.top_top_set_char) tptp.top_top_set_int) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_rat_char F) tptp.top_top_set_rat) tptp.top_top_set_char) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_nat_char F) tptp.top_top_set_nat) tptp.top_top_set_char) (not (forall ((X tptp.nat)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (not (forall ((X tptp.nat)) (not (= Y3 (@ F X))))))))
% 3.35/4.35  (assert (forall ((G (-> tptp.char tptp.char)) (F (-> tptp.char tptp.char))) (=> (forall ((X tptp.char)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_char G) tptp.top_top_set_char) tptp.top_top_set_char))))
% 3.35/4.35  (assert (forall ((G (-> tptp.char tptp.rat)) (F (-> tptp.rat tptp.char))) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_rat G) tptp.top_top_set_char) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((G (-> tptp.char tptp.nat)) (F (-> tptp.nat tptp.char))) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_nat G) tptp.top_top_set_char) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((G (-> tptp.char tptp.int)) (F (-> tptp.int tptp.char))) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_int G) tptp.top_top_set_char) tptp.top_top_set_int))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.char)) (F (-> tptp.char tptp.rat))) (=> (forall ((X tptp.char)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_char G) tptp.top_top_set_rat) tptp.top_top_set_char))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.rat)) (F (-> tptp.rat tptp.rat))) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_rat G) tptp.top_top_set_rat) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat))) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.int)) (F (-> tptp.int tptp.rat))) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat) tptp.top_top_set_int))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.char)) (F (-> tptp.char tptp.nat))) (=> (forall ((X tptp.char)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_nat_char G) tptp.top_top_set_nat) tptp.top_top_set_char))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.nat))) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char Bool)) (X2 tptp.char)) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_char_o F) tptp.top_top_set_char))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (X2 tptp.char)) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.int)) (X2 tptp.char)) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_char_int F) tptp.top_top_set_char))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat Bool)) (X2 tptp.rat)) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (X2 tptp.rat)) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int)) (X2 tptp.rat)) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (@ (@ tptp.member_rat (@ F X2)) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (X2 tptp.nat)) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (X2 tptp.nat)) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char))) (= (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (forall ((Y5 tptp.char)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat))) (= (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (forall ((Y5 tptp.rat)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat))) (= (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (forall ((Y5 tptp.nat)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.int))) (= (= (@ (@ tptp.image_char_int F) tptp.top_top_set_char) tptp.top_top_set_int) (forall ((Y5 tptp.int)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.char))) (= (= (@ (@ tptp.image_rat_char F) tptp.top_top_set_rat) tptp.top_top_set_char) (forall ((Y5 tptp.char)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.rat))) (= (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (forall ((Y5 tptp.rat)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat))) (= (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (forall ((Y5 tptp.nat)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int))) (= (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (forall ((Y5 tptp.int)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.char))) (= (= (@ (@ tptp.image_nat_char F) tptp.top_top_set_nat) tptp.top_top_set_char) (forall ((Y5 tptp.char)) (exists ((X4 tptp.nat)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat))) (= (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (forall ((Y5 tptp.rat)) (exists ((X4 tptp.nat)) (= Y5 (@ F X4)))))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.char Bool)) (X2 tptp.char)) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_char_o F) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.char tptp.nat)) (X2 tptp.char)) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.char tptp.int)) (X2 tptp.char)) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_char_int F) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.rat Bool)) (X2 tptp.rat)) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.rat tptp.nat)) (X2 tptp.rat)) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.rat tptp.int)) (X2 tptp.rat)) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.nat Bool)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)))))
% 3.35/4.35  (assert (forall ((C tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a C) H) H2) R) (@ (@ tptp.heap_success_ref_a C) H))))
% 3.35/4.35  (assert (forall ((C tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit)) (=> (@ (@ tptp.heap_success_ref_a C) H) (not (forall ((R4 tptp.ref_a) (H4 tptp.heap_e7401611519738050253t_unit)) (not (@ (@ (@ (@ tptp.heap_effect_ref_a C) H) H4) R4)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_char G) tptp.top_top_set_char) tptp.top_top_set_char) (= (@ (@ tptp.image_7676512070627423941r_char (@ (@ tptp.produc7830753070125841726r_char F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to1235241553633177651r_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_rat G) tptp.top_top_set_char) tptp.top_top_set_rat) (= (@ (@ tptp.image_7275072250160737868ar_rat (@ (@ tptp.produc5209943433214700613ar_rat F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to8437673547576850234ar_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.nat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_nat G) tptp.top_top_set_char) tptp.top_top_set_nat) (= (@ (@ tptp.image_1559928771699358788ar_nat (@ (@ tptp.produc5845073493301196349ar_nat F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to5594287848199751986ar_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.int))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_int G) tptp.top_top_set_char) tptp.top_top_set_int) (= (@ (@ tptp.image_6605449789044937888ar_int (@ (@ tptp.produc5842583022792146073ar_int F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to3104204703268025230ar_int)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_char G) tptp.top_top_set_rat) tptp.top_top_set_char) (= (@ (@ tptp.image_8036680598759533694r_char (@ (@ tptp.produc5432746246116964165t_char F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to1235241553633177651r_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_rat G) tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ (@ tptp.image_5644637116751559941ar_rat (@ (@ tptp.produc1230515432254573900at_rat F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to8437673547576850234ar_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat) tptp.top_top_set_nat) (= (@ (@ tptp.image_9152865675144956669ar_nat (@ (@ tptp.produc1865645492341069636at_nat F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to5594287848199751986ar_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat) tptp.top_top_set_int) (= (@ (@ tptp.image_4975014655635759961ar_int (@ (@ tptp.produc1863155021832019360at_int F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to3104204703268025230ar_int)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.nat tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_nat_char G) tptp.top_top_set_nat) tptp.top_top_set_char) (= (@ (@ tptp.image_5973708714899544198r_char (@ (@ tptp.produc8759894717825771837t_char F) G)) tptp.top_to5594287848199751986ar_nat) tptp.top_to1235241553633177651r_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.nat tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat) tptp.top_top_set_rat) (= (@ (@ tptp.image_2699825501378146573ar_rat (@ (@ tptp.produc1547070076189439812at_rat F) G)) tptp.top_to5594287848199751986ar_nat) tptp.top_to8437673547576850234ar_rat)))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Fx tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Fx)) (@ (@ tptp.bNF_Gr7888059597227825506at_nat A4) F)) (@ (@ tptp.member6273874620674182256at_nat X2) A4))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Fx tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Fx)) (@ (@ tptp.bNF_Gr1527221351080490466at_nat A4) F)) (@ (@ tptp.member2643936169264416010at_nat X2) A4))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Fx tptp.num) (A4 tptp.set_nat) (F (-> tptp.nat tptp.num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X2) Fx)) (@ (@ tptp.bNF_Gr_nat_num A4) F)) (@ (@ tptp.member_nat X2) A4))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Fx tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Fx)) (@ (@ tptp.bNF_Gr_nat_nat A4) F)) (@ (@ tptp.member_nat X2) A4))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Fx tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Fx)) (@ (@ tptp.bNF_Gr_int_int A4) F)) (@ (@ tptp.member_int X2) A4))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Fx tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Fx)) (@ (@ tptp.bNF_Gr7888059597227825506at_nat A4) F)) (= (@ F X2) Fx))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Fx tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Fx)) (@ (@ tptp.bNF_Gr1527221351080490466at_nat A4) F)) (= (@ F X2) Fx))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Fx tptp.num) (A4 tptp.set_nat) (F (-> tptp.nat tptp.num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X2) Fx)) (@ (@ tptp.bNF_Gr_nat_num A4) F)) (= (@ F X2) Fx))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Fx tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Fx)) (@ (@ tptp.bNF_Gr_nat_nat A4) F)) (= (@ F X2) Fx))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Fx tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Fx)) (@ (@ tptp.bNF_Gr_int_int A4) F)) (= (@ F X2) Fx))))
% 3.35/4.35  (assert (forall ((V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.heap_success_ref_a (@ tptp.ref_a2 V)) H)))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char Bool)) (Ya (-> tptp.char Bool)) (Y3 (-> tptp.char Bool)) (Xa2 (-> tptp.char Bool)) (R3 (-> Bool Bool Bool)) (Ra (-> Bool Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char Bool)) (Ya (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.nat)) (Xa2 (-> tptp.char tptp.nat)) (R3 (-> Bool tptp.nat Bool)) (Ra (-> Bool tptp.nat Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb tptp.nat)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char Bool)) (Ya (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.int)) (Xa2 (-> tptp.char tptp.int)) (R3 (-> Bool tptp.int Bool)) (Ra (-> Bool tptp.int Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb tptp.int)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.nat)) (Ya (-> tptp.char tptp.nat)) (Y3 (-> tptp.char Bool)) (Xa2 (-> tptp.char Bool)) (R3 (-> tptp.nat Bool Bool)) (Ra (-> tptp.nat Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.nat) (Yb Bool)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.nat)) (Ya (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.nat)) (Xa2 (-> tptp.char tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.nat) (Yb tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.nat)) (Ya (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.int)) (Xa2 (-> tptp.char tptp.int)) (R3 (-> tptp.nat tptp.int Bool)) (Ra (-> tptp.nat tptp.int Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.nat) (Yb tptp.int)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.int)) (Ya (-> tptp.char tptp.int)) (Y3 (-> tptp.char Bool)) (Xa2 (-> tptp.char Bool)) (R3 (-> tptp.int Bool Bool)) (Ra (-> tptp.int Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.int) (Yb Bool)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.int)) (Ya (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.nat)) (Xa2 (-> tptp.char tptp.nat)) (R3 (-> tptp.int tptp.nat Bool)) (Ra (-> tptp.int tptp.nat Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.int) (Yb tptp.nat)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.int)) (Ya (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.int)) (Xa2 (-> tptp.char tptp.int)) (R3 (-> tptp.int tptp.int Bool)) (Ra (-> tptp.int tptp.int Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.int) (Yb tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.rat Bool)) (Ya (-> tptp.rat Bool)) (Y3 (-> tptp.rat Bool)) (Xa2 (-> tptp.rat Bool)) (R3 (-> Bool Bool Bool)) (Ra (-> Bool Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_rat_o Ya) tptp.top_top_set_rat)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_rat_o Xa2) tptp.top_top_set_rat)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) Ya) Xa2)))))))
% 3.35/4.35  (assert (forall ((R3 (-> Bool Bool Bool)) (X2 (-> tptp.char Bool)) (Y3 (-> tptp.char Bool)) (Ra (-> Bool Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> Bool tptp.nat Bool)) (X2 (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.nat)) (Ra (-> Bool tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb tptp.nat)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> Bool tptp.int Bool)) (X2 (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.int)) (Ra (-> Bool tptp.int Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb tptp.int)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat Bool Bool)) (X2 (-> tptp.char tptp.nat)) (Y3 (-> tptp.char Bool)) (Ra (-> tptp.nat Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.nat) (Yb Bool)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool)) (X2 (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.nat) (Yb tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.int Bool)) (X2 (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.int)) (Ra (-> tptp.nat tptp.int Bool))) (=> (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.nat) (Yb tptp.int)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int Bool Bool)) (X2 (-> tptp.char tptp.int)) (Y3 (-> tptp.char Bool)) (Ra (-> tptp.int Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.int) (Yb Bool)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.nat Bool)) (X2 (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.nat)) (Ra (-> tptp.int tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.int) (Yb tptp.nat)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (X2 (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.int) (Yb tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((R3 (-> Bool Bool Bool)) (X2 (-> tptp.rat Bool)) (Y3 (-> tptp.rat Bool)) (Ra (-> Bool Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_rat_o X2) tptp.top_top_set_rat)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_rat_o Y3) tptp.top_top_set_rat)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) Y3)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char Bool)) (Ra (-> Bool Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.char tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.rat Bool)) (Ra (-> Bool Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_rat_o X2) tptp.top_top_set_rat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.rat tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_rat_nat X2) tptp.top_top_set_rat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re6557955094579809201at_nat (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.rat tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_rat_int X2) tptp.top_top_set_rat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re7554818335971813481nt_int (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat tptp.rat)) (Ra (-> tptp.rat tptp.rat Bool))) (=> (forall ((Z3 tptp.rat)) (=> (@ (@ tptp.member_rat Z3) (@ (@ tptp.image_nat_rat X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re4702136315717946289at_rat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat Bool)) (Ra (-> Bool Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_nat_int X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re6650684261131312217nt_int (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char Bool)) (B5 tptp.set_o) (I tptp.char)) (=> (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_char_o F) tptp.top_top_set_char)) B5) (@ (@ tptp.member_o (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (B5 tptp.set_nat) (I tptp.char)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)) B5) (@ (@ tptp.member_nat (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.int)) (B5 tptp.set_int) (I tptp.char)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_char_int F) tptp.top_top_set_char)) B5) (@ (@ tptp.member_int (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat Bool)) (B5 tptp.set_o) (I tptp.rat)) (=> (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)) B5) (@ (@ tptp.member_o (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (B5 tptp.set_nat) (I tptp.rat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)) B5) (@ (@ tptp.member_nat (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int)) (B5 tptp.set_int) (I tptp.rat)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)) B5) (@ (@ tptp.member_int (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_rat (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (B5 tptp.set_o) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_o (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_nat (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (B5 tptp.set_int) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_int (@ F I)) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (V (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_nat_rat_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_char_nat V) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (V (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_nat_nat_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_char_nat V) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (V (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_nat_int_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_char_nat V) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (V (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_int_nat_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_char_int V) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (V (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_int_int_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_char_int V) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (V (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_rat (@ (@ tptp.comp_nat_rat_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_rat_nat V) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (V (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_nat (@ (@ tptp.comp_nat_nat_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_rat_nat V) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (V (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_int (@ (@ tptp.comp_nat_int_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_rat_nat V) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (V (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_nat (@ (@ tptp.comp_int_nat_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_rat_int V) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (V (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_int (@ (@ tptp.comp_int_int_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_rat_int V) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (Ya (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (= X2 Ya) (=> (forall ((Z3 (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.member2790140394383616496nteger Z3) (@ (@ tptp.image_2177946750938214461nteger Ya) tptp.top_to4645266643341252675nteger)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_C8797469213163452608nteger F) X2) (@ (@ tptp.comp_C8797469213163452608nteger G) Ya))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat Bool)) (Ya (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> Bool Bool))) (=> (= X2 Ya) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o Ya) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_o_o_nat F) X2) (@ (@ tptp.comp_o_o_nat G) Ya))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat tptp.nat)) (Ya (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (= X2 Ya) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat Ya) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_nat_nat F) X2) (@ (@ tptp.comp_nat_nat_nat G) Ya))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.int tptp.nat)) (Ya (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num))) (=> (= X2 Ya) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_int_nat Ya) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_num_int F) X2) (@ (@ tptp.comp_nat_num_int G) Ya))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.int tptp.int)) (Ya (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (= X2 Ya) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_int_int Ya) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_int_nat_int F) X2) (@ (@ tptp.comp_int_nat_int G) Ya))))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (forall ((Z3 (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.member2790140394383616496nteger Z3) (@ (@ tptp.image_2177946750938214461nteger X2) tptp.top_to4645266643341252675nteger)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_C8797469213163452608nteger F) X2) (@ (@ tptp.comp_C8797469213163452608nteger G) X2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o X2) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_o_o_nat F) X2) (@ (@ tptp.comp_o_o_nat G) X2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat X2) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_nat_nat F) X2) (@ (@ tptp.comp_nat_nat_nat G) X2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_int_nat X2) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_num_int F) X2) (@ (@ tptp.comp_nat_num_int G) X2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_int_int X2) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_int_nat_int F) X2) (@ (@ tptp.comp_int_nat_int G) X2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (Xa2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (Fa (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (forall ((Z3 (-> tptp.code_integer tptp.code_integer)) (Za (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.member2790140394383616496nteger Z3) (@ (@ tptp.image_2177946750938214461nteger X2) tptp.top_to4645266643341252675nteger)) (=> (@ (@ tptp.member2790140394383616496nteger Za) (@ (@ tptp.image_2177946750938214461nteger Xa2) tptp.top_to4645266643341252675nteger)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger F) X2) (@ (@ tptp.comp_C8797469213163452608nteger Fa) Xa2)) (= X2 Xa2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat Bool)) (Xa2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (Fa (-> Bool Bool))) (=> (forall ((Z3 Bool) (Za Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o X2) tptp.top_top_set_nat)) (=> (@ (@ tptp.member_o Za) (@ (@ tptp.image_nat_o Xa2) tptp.top_top_set_nat)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_o_o_nat F) X2) (@ (@ tptp.comp_o_o_nat Fa) Xa2)) (= X2 Xa2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.nat tptp.nat)) (Xa2 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (Fa (-> tptp.nat tptp.nat))) (=> (forall ((Z3 tptp.nat) (Za tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat X2) tptp.top_top_set_nat)) (=> (@ (@ tptp.member_nat Za) (@ (@ tptp.image_nat_nat Xa2) tptp.top_top_set_nat)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_nat_nat_nat F) X2) (@ (@ tptp.comp_nat_nat_nat Fa) Xa2)) (= X2 Xa2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.int tptp.nat)) (Xa2 (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num)) (Fa (-> tptp.nat tptp.num))) (=> (forall ((Z3 tptp.nat) (Za tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_int_nat X2) tptp.top_top_set_int)) (=> (@ (@ tptp.member_nat Za) (@ (@ tptp.image_int_nat Xa2) tptp.top_top_set_int)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_nat_num_int F) X2) (@ (@ tptp.comp_nat_num_int Fa) Xa2)) (= X2 Xa2)))))
% 3.35/4.35  (assert (forall ((X2 (-> tptp.int tptp.int)) (Xa2 (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (Fa (-> tptp.int tptp.nat))) (=> (forall ((Z3 tptp.int) (Za tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_int_int X2) tptp.top_top_set_int)) (=> (@ (@ tptp.member_int Za) (@ (@ tptp.image_int_int Xa2) tptp.top_top_set_int)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_int_nat_int F) X2) (@ (@ tptp.comp_int_nat_int Fa) Xa2)) (= X2 Xa2)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (X5 tptp.set_nat) (G1 (-> Bool Bool)) (G22 (-> Bool Bool))) (=> (= (@ (@ tptp.image_nat_o F) X5) tptp.top_top_set_o) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) X5) (= (@ (@ (@ tptp.comp_o_o_nat G1) F) X) (@ (@ (@ tptp.comp_o_o_nat G22) F) X)))) (= G1 G22)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X5 tptp.set_Code_integer) (G1 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G22 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (= (@ (@ tptp.image_2177946750938214461nteger F) X5) tptp.top_to3804862627464599871nteger) (=> (forall ((X tptp.code_integer)) (=> (@ (@ tptp.member_Code_integer X) X5) (= (@ (@ (@ tptp.comp_C8797469213163452608nteger G1) F) X) (@ (@ (@ tptp.comp_C8797469213163452608nteger G22) F) X)))) (= G1 G22)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (X5 tptp.set_nat) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.image_nat_nat F) X5) tptp.top_top_set_nat) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) X5) (= (@ (@ (@ tptp.comp_nat_nat_nat G1) F) X) (@ (@ (@ tptp.comp_nat_nat_nat G22) F) X)))) (= G1 G22)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (X5 tptp.set_int) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.nat tptp.num))) (=> (= (@ (@ tptp.image_int_nat F) X5) tptp.top_top_set_nat) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) X5) (= (@ (@ (@ tptp.comp_nat_num_int G1) F) X) (@ (@ (@ tptp.comp_nat_num_int G22) F) X)))) (= G1 G22)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (X5 tptp.set_int) (G1 (-> tptp.int tptp.nat)) (G22 (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.image_int_int F) X5) tptp.top_top_set_int) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) X5) (= (@ (@ (@ tptp.comp_int_nat_int G1) F) X) (@ (@ (@ tptp.comp_int_nat_int G22) F) X)))) (= G1 G22)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_char G) tptp.top_top_set_char) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char (@ (@ tptp.comp_char_char_char G) F)) tptp.top_top_set_char) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_rat G) tptp.top_top_set_char) tptp.top_top_set_rat) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_char_rat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.nat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_nat G) tptp.top_top_set_char) tptp.top_top_set_nat) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_char_nat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.int))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_int G) tptp.top_top_set_char) tptp.top_top_set_int) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_char_int_char G) F)) tptp.top_top_set_char) tptp.top_top_set_int)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.char))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_char G) tptp.top_top_set_rat) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char (@ (@ tptp.comp_rat_char_char G) F)) tptp.top_top_set_char) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.rat))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_rat G) tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_rat_rat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat) tptp.top_top_set_nat) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_rat_nat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat) tptp.top_top_set_int) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_rat_int_char G) F)) tptp.top_top_set_char) tptp.top_top_set_int)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (G (-> tptp.nat tptp.char))) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (=> (= (@ (@ tptp.image_nat_char G) tptp.top_top_set_nat) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char (@ (@ tptp.comp_nat_char_char G) F)) tptp.top_top_set_char) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (G (-> tptp.nat tptp.rat))) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (=> (= (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat) tptp.top_top_set_rat) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_nat_rat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (= tptp.produc6499014454317279255nteger (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer)))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat R3) (@ (@ (@ tptp.bNF_Gr6955563364113978072nt_nat F) G) R3)) F) G)))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int))) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int R3) (@ (@ (@ tptp.bNF_Gr1354378531936274772nt_int F) G) R3)) F) G)))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o R3) (@ (@ (@ tptp.bNF_Gr364077372107685167_int_o F) G) R3)) F) G)))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num))) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num R3) (@ (@ (@ tptp.bNF_Gr166583433173494904er_num F) G) R3)) F) G)))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num R3) (@ (@ (@ tptp.bNF_Gr7020624548710275655nt_num F) G) R3)) F) G)))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Co726186806682698383nteger) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (R3 tptp.set_Code_integer)) (=> (@ (@ tptp.finite954763878425697269nteger S5) F) (=> (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger G) tptp.top_to4645266643341252675nteger)) S5) (@ (@ tptp.finite917065715488314481nteger R3) (@ (@ tptp.comp_C8797469213163452608nteger F) G))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Co726186806682698383nteger) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (R3 tptp.set_Code_integer)) (=> (@ (@ tptp.finite6756937295472016048nteger S5) F) (=> (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger G) tptp.top_to4645266643341252675nteger)) S5) (@ (@ tptp.finite366418920864469932nteger R3) (@ (@ tptp.comp_C8797469213163452608nteger F) G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le513522071413781156et_rat (@ (@ tptp.image_4408659257933336347et_rat _let_1) (@ tptp.pow_nat A4))) (@ tptp.pow_rat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) (@ tptp.pow_nat A4))) (@ tptp.pow_nat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_3739036796817536367et_int _let_1) (@ tptp.pow_nat A4))) (@ tptp.pow_int B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_4702325430467532143et_nat _let_1) (@ tptp.pow_int A4))) (@ tptp.pow_nat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_524474410958335435et_int _let_1) (@ tptp.pow_int A4))) (@ tptp.pow_int B5))))))
% 3.35/4.35  (assert (= tptp.bNF_vi7262943168399475603_int_o (lambda ((F2 (-> tptp.char tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.char) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom5819909836510906509nteger (@ (@ tptp.bNF_Grp_char_int tptp.top_top_set_char) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi508398028314858188_int_o (lambda ((F2 (-> tptp.rat tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.rat) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom3409376902655092628nteger (@ (@ tptp.bNF_Grp_rat_int tptp.top_top_set_rat) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi7331807916455492308_int_o (lambda ((F2 (-> tptp.nat tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.nat) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom3277315637376110988nteger (@ (@ tptp.bNF_Grp_nat_int tptp.top_top_set_nat) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi2125572119366604152_int_o (lambda ((F2 (-> tptp.int tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.int) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom967497705283160040nteger (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi467646977814820164_int_o (lambda ((F2 (-> tptp.list_nat tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.list_nat) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom7887202796854296604nteger (@ (@ tptp.bNF_Grp_list_nat_int tptp.top_top_set_list_nat) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi728936465572800120_nat_o (lambda ((F2 (-> tptp.char tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.char) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom7879471502873553579at_int (@ (@ tptp.bNF_Gr8982933507515605408at_nat tptp.top_top_set_char) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi2997284877290766385_nat_o (lambda ((F2 (-> tptp.rat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.rat) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom1211213461163567844at_int (@ (@ tptp.bNF_Gr6883301533820405721at_nat tptp.top_top_set_rat) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi190728152058600505_nat_o (lambda ((F2 (-> tptp.nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.nat) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom8569543703982574316at_int (@ (@ tptp.bNF_Gr3553472063123884001at_nat tptp.top_top_set_nat) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (= tptp.bNF_vi1204582724742824157_nat_o (lambda ((F2 (-> tptp.int tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.int) (__flatten_var_1 tptp.int)) (let ((_let_1 (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int))) (@ (@ (@ (@ tptp.relcom1106208330880909712at_int (@ _let_1 F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ _let_1 G3)))) __flatten_var_0) __flatten_var_1)))))
% 3.35/4.35  (assert (= tptp.bNF_vi5202502398764838569_nat_o (lambda ((F2 (-> tptp.list_nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.list_nat) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom170568170053003356at_int (@ (@ tptp.bNF_Gr4119388860389678161at_nat tptp.top_top_set_list_nat) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.char tptp.nat)) (B (-> tptp.char tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.char tptp.product_prod_nat_nat))) (and (@ (@ tptp.member3295615932019376976at_nat Z4) (@ tptp.collec1683818095804863890at_nat (lambda ((X4 (-> tptp.char tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat X4) tptp.top_top_set_char)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1491501995297412481t_char tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1491501995297412481t_char tptp.product_snd_nat_nat) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.rat tptp.nat)) (B (-> tptp.rat tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re6557955094579809201at_nat (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.rat tptp.product_prod_nat_nat))) (and (@ (@ tptp.member849810989832120969at_nat Z4) (@ tptp.collec2824469931397938891at_nat (lambda ((X4 (-> tptp.rat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat X4) tptp.top_top_set_rat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1320480151300532104at_rat tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1320480151300532104at_rat tptp.product_snd_nat_nat) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.member6743353555990375057at_nat Z4) (@ tptp.collec8718012497556192979at_nat (lambda ((X4 (-> tptp.nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat X4) tptp.top_top_set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_snd_nat_nat) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.int tptp.product_prod_nat_nat))) (and (@ (@ tptp.member557823603599733045at_nat Z4) (@ tptp.collec2532482545165550967at_nat (lambda ((X4 (-> tptp.int tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat X4) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1953119740877977564at_int tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1953119740877977564at_int tptp.product_snd_nat_nat) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.num tptp.num Bool)) (A (-> tptp.int tptp.num)) (B (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.int tptp.product_prod_num_num))) (and (@ (@ tptp.member7514810323860029129um_num Z4) (@ tptp.collec266097228571071243um_num (lambda ((X4 (-> tptp.int tptp.product_prod_num_num))) (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num X4) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o R3)))))) (= (@ (@ tptp.comp_P4305060815297604026um_int tptp.product_fst_num_num) Z4) A) (= (@ (@ tptp.comp_P4305060815297604026um_int tptp.product_snd_num_num) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.char tptp.int)) (B (-> tptp.char tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.char tptp.product_prod_int_int))) (and (@ (@ tptp.member2992454361780672008nt_int Z4) (@ tptp.collec1380656525566158922nt_int (lambda ((X4 (-> tptp.char tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int X4) tptp.top_top_set_char)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P4161745170962941589t_char tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P4161745170962941589t_char tptp.product_snd_int_int) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.rat tptp.int)) (B (-> tptp.rat tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re7554818335971813481nt_int (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.rat tptp.product_prod_int_int))) (and (@ (@ tptp.member546649419593416001nt_int Z4) (@ tptp.collec2521308361159233923nt_int (lambda ((X4 (-> tptp.rat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int X4) tptp.top_top_set_rat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P6018825582104210588nt_rat tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P6018825582104210588nt_rat tptp.product_snd_int_int) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.nat tptp.int)) (B (-> tptp.nat tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re6650684261131312217nt_int (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.nat tptp.product_prod_int_int))) (and (@ (@ tptp.member6440191985751670089nt_int Z4) (@ tptp.collec8414850927317488011nt_int (lambda ((X4 (-> tptp.nat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int X4) tptp.top_top_set_nat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P6653955642190706324nt_nat tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P6653955642190706324nt_nat tptp.product_snd_int_int) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.int tptp.int)) (B (-> tptp.int tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re4712519889275205905nt_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.int tptp.product_prod_int_int))) (and (@ (@ tptp.member254662033361028077nt_int Z4) (@ tptp.collec2229320974926845999nt_int (lambda ((X4 (-> tptp.int tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int X4) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_snd_int_int) Z4) B))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.list_nat tptp.nat)) (B (-> tptp.list_nat tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re4629543205785817921at_nat (lambda ((Y2 tptp.list_nat) (Z tptp.list_nat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.member3963856813518191233at_nat Z4) (@ tptp.collec3092956710985254339at_nat (lambda ((X4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat X4) tptp.top_top_set_list_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P5292260908303971472st_nat tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P5292260908303971472st_nat tptp.product_snd_nat_nat) Z4) B))))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool))) (let ((_let_1 (@ (@ tptp.bNF_Grp_o_o tptp.top_top_set_o) F))) (=> (= F tptp.id_o) (= (@ (@ tptp.relcompp_o_o_o (@ tptp.conversep_o_o _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.num tptp.num))) (let ((_let_1 (@ (@ tptp.bNF_Grp_num_num tptp.top_top_set_num) F))) (=> (= F tptp.id_num) (= (@ (@ tptp.relcompp_num_num_num (@ tptp.conversep_num_num _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.char))) (let ((_let_1 (@ (@ tptp.bNF_Grp_char_char tptp.top_top_set_char) F))) (=> (= F tptp.id_char) (= (@ (@ tptp.relcom5872928454965100966r_char (@ tptp.conversep_char_char _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.list_nat tptp.list_nat))) (let ((_let_1 (@ (@ tptp.bNF_Gr600725020315365264st_nat tptp.top_top_set_list_nat) F))) (=> (= F tptp.id_list_nat) (= (@ (@ tptp.relcom8030397737370142931st_nat (@ tptp.conver909888920752868663st_nat _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.rat))) (let ((_let_1 (@ (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat) F))) (=> (= F tptp.id_rat) (= (@ (@ tptp.relcompp_rat_rat_rat (@ tptp.conversep_rat_rat _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.bNF_Grp_nat_nat tptp.top_top_set_nat) F))) (=> (= F tptp.id_nat) (= (@ (@ tptp.relcompp_nat_nat_nat (@ tptp.conversep_nat_nat _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) F))) (=> (= F tptp.id_int) (= (@ (@ tptp.relcompp_int_int_int (@ tptp.conversep_int_int _let_1)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.rat)) (G (-> tptp.rat tptp.rat))) (=> (@ tptp.order_4774338944571509483at_rat F) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (@ tptp.order_4774338944571509483at_rat G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (G (-> tptp.nat tptp.rat))) (=> (@ tptp.order_5409469004658005219at_nat F) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (@ tptp.order_5090893588506375395at_rat G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int)) (G (-> tptp.int tptp.rat))) (=> (@ tptp.order_5406978534148954943at_int F) (=> (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (@ tptp.order_6090247300407429951nt_rat G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.rat tptp.nat))) (=> (@ tptp.order_5090893588506375395at_rat F) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (@ tptp.order_5409469004658005219at_nat G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.order_5726023648592871131at_nat F) (=> (= (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat) tptp.top_top_set_nat) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (@ tptp.order_5726023648592871131at_nat G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.order_5723533178083820855at_int F) (=> (= (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat) tptp.top_top_set_int) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (@ tptp.order_6725377360493925687nt_nat G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.rat)) (G (-> tptp.rat tptp.int))) (=> (@ tptp.order_6090247300407429951nt_rat F) (=> (= (@ (@ tptp.image_int_rat F) tptp.top_top_set_int) tptp.top_top_set_rat) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (@ tptp.order_5406978534148954943at_int G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.int))) (=> (@ tptp.order_6725377360493925687nt_nat F) (=> (= (@ (@ tptp.image_int_nat F) tptp.top_top_set_int) tptp.top_top_set_nat) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (@ tptp.order_5723533178083820855at_int G))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (@ tptp.order_6722886889984875411nt_int F) (=> (= (@ (@ tptp.image_int_int F) tptp.top_top_set_int) tptp.top_top_set_int) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (@ tptp.order_6722886889984875411nt_int G))))))
% 3.35/4.35  (assert (= tptp.id_on_nat (lambda ((A6 tptp.set_nat)) (@ (@ tptp.bNF_Gr_nat_nat A6) tptp.id_nat))))
% 3.35/4.35  (assert (= tptp.id_on_o (lambda ((A6 tptp.set_o)) (@ (@ tptp.bNF_Gr_o_o A6) tptp.id_o))))
% 3.35/4.35  (assert (= tptp.id_on_num (lambda ((A6 tptp.set_num)) (@ (@ tptp.bNF_Gr_num_num A6) tptp.id_num))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> Bool Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M tptp.id_o) (= (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o Abs) M)) Rep) tptp.id_nat)))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> Bool Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M tptp.id_o) (= (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o Abs) M)) Rep) tptp.id_o)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (M (-> Bool Bool))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (= M tptp.id_o) (= (@ (@ tptp.comp_o_num_num (@ (@ tptp.comp_o_num_o Abs) M)) Rep) tptp.id_num)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (M (-> tptp.num tptp.num))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (=> (= M tptp.id_num) (= (@ (@ tptp.comp_num_nat_nat (@ (@ tptp.comp_num_nat_num Abs) M)) Rep) tptp.id_nat)))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.num)) (Abs (-> tptp.num Bool)) (M (-> tptp.num tptp.num))) (=> (@ (@ (@ tptp.type_d3678713432601627782_o_num Rep) Abs) tptp.top_top_set_num) (=> (= M tptp.id_num) (= (@ (@ tptp.comp_num_o_o (@ (@ tptp.comp_num_o_num Abs) M)) Rep) tptp.id_o)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.num)) (Abs (-> tptp.num tptp.num)) (M (-> tptp.num tptp.num))) (=> (@ (@ (@ tptp.type_d938156138240996706um_num Rep) Abs) tptp.top_top_set_num) (=> (= M tptp.id_num) (= (@ (@ tptp.comp_num_num_num (@ (@ tptp.comp_num_num_num Abs) M)) Rep) tptp.id_num)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (M (-> tptp.char tptp.char))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= M tptp.id_char) (= (@ (@ tptp.comp_char_nat_nat (@ (@ tptp.comp_char_nat_char Abs) M)) Rep) tptp.id_nat)))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (M (-> tptp.char tptp.char))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= M tptp.id_char) (= (@ (@ tptp.comp_char_o_o (@ (@ tptp.comp_char_o_char Abs) M)) Rep) tptp.id_o)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (M (-> tptp.char tptp.char))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= M tptp.id_char) (= (@ (@ tptp.comp_char_num_num (@ (@ tptp.comp_char_num_char Abs) M)) Rep) tptp.id_num)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (M (-> tptp.rat tptp.rat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (=> (= M tptp.id_rat) (= (@ (@ tptp.comp_rat_nat_nat (@ (@ tptp.comp_rat_nat_rat Abs) M)) Rep) tptp.id_nat)))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ tptp.comp_char_nat_nat Abs) Rep) tptp.id_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ tptp.comp_char_o_o Abs) Rep) tptp.id_o))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ tptp.comp_char_num_num Abs) Rep) tptp.id_num))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ tptp.comp_rat_nat_nat Abs) Rep) tptp.id_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.rat)) (Abs (-> tptp.rat Bool))) (=> (@ (@ (@ tptp.type_d6486251586359353412_o_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ tptp.comp_rat_o_o Abs) Rep) tptp.id_o))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.rat)) (Abs (-> tptp.rat tptp.num))) (=> (@ (@ (@ tptp.type_d3745694291998722336um_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ tptp.comp_rat_num_num Abs) Rep) tptp.id_num))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.nat)) (Abs (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d7121381646445849148_o_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_o_o Abs) Rep) tptp.id_o))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.nat)) (Abs (-> tptp.nat tptp.num))) (=> (@ (@ (@ tptp.type_d4380824352085218072um_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_num_num Abs) Rep) tptp.id_num))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_nat_nat Abs) Rep) tptp.id_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.int)) (Abs (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d6248003478268698410at_int Rep) Abs) tptp.top_top_set_int) (= (@ (@ tptp.comp_int_nat_nat Abs) Rep) tptp.id_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_nat_nat Rep) Abs) tptp.id_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ tptp.comp_P5156358013004227690it_o_o Rep) Abs) tptp.id_o))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X2 tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat A3) B3) P) (@ (@ (@ C A3) B3) X2))) (@ (@ (@ tptp.produc8739625826339149834_nat_o C) P) X2))))
% 3.35/4.35  (assert (forall ((Y4 tptp.set_nat)) (= (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) Y4) Y4)))
% 3.35/4.35  (assert (forall ((Y4 tptp.set_int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) Y4) Y4)))
% 3.35/4.35  (assert (forall ((P2 Bool) (Q2 (-> tptp.int tptp.int Bool))) (= (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) (and P2 (@ (@ Q2 A5) B4)))) (lambda ((Ab tptp.product_prod_int_int)) (and P2 (@ (@ tptp.produc4947309494688390418_int_o Q2) Ab))))))
% 3.35/4.35  (assert (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) A)) (@ tptp.id_on_7869290023980668164at_nat A4)))))
% 3.35/4.35  (assert (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) A)) (@ tptp.id_on_2554058798563519774at_nat A4)))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) A)) (@ tptp.id_on_o A4)))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) A)) (@ tptp.id_on_3275838214495744996at_nat A4)))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) A)) (@ tptp.id_on_6713504163309144702at_nat A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) A)) (@ tptp.id_on_nat A4)))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int)) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) A)) (@ tptp.id_on_int A4)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc27273713700761075at_nat F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc4245557441103728435nt_int F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.int)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc8211389475949308722nt_int F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc9020218426428501292_nat_o F) (@ (@ tptp.produc9060074326276436823at_nat A) B)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc410239310623530412_nat_o F) (@ (@ tptp.produc2922128104949294807at_nat A) B)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ F A) B) (@ (@ tptp.produc4927758841916487424_num_o F) (@ (@ tptp.product_Pair_nat_num A) B)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ F A) B) (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)))))
% 3.35/4.35  (assert (forall ((P tptp.produc1319942482725812455at_nat) (C (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool))) (=> (forall ((A3 tptp.set_Pr4329608150637261639at_nat) (B3 tptp.set_Pr4329608150637261639at_nat)) (=> (= P (@ (@ tptp.produc9060074326276436823at_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc9020218426428501292_nat_o C) P))))
% 3.35/4.35  (assert (forall ((P tptp.produc3843707927480180839at_nat) (C (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (=> (= P (@ (@ tptp.produc2922128104949294807at_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc410239310623530412_nat_o C) P))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_num) (C (-> tptp.nat tptp.num Bool))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc4927758841916487424_num_o C) P))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.nat Bool))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc6081775807080527818_nat_o C) P))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_int_int) (C (-> tptp.int tptp.int Bool))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc4947309494688390418_int_o C) P))))
% 3.35/4.35  (assert (forall ((Z2 Bool) (C (-> tptp.nat tptp.num tptp.set_o)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member_o Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc836176033315069408_set_o C) (@ (@ tptp.product_Pair_nat_num A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc4130284055270567454et_nat C) (@ (@ tptp.product_Pair_nat_num A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.num tptp.set_int)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member_int Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc9175805072616146554et_int C) (@ (@ tptp.product_Pair_nat_num A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 Bool) (C (-> tptp.nat tptp.nat tptp.set_o)) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.member_o Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc59986286002894506_set_o C) (@ (@ tptp.product_Pair_nat_nat A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.nat tptp.set_nat)) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.member_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc6189476227299908564et_nat C) (@ (@ tptp.product_Pair_nat_nat A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.nat tptp.set_int)) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.member_int Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc2011625207790711856et_int C) (@ (@ tptp.product_Pair_nat_nat A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 Bool) (C (-> tptp.int tptp.int tptp.set_o)) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.member_o Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc4257766111578684402_set_o C) (@ (@ tptp.product_Pair_int_int A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.nat) (C (-> tptp.int tptp.int tptp.set_nat)) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.member_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc4251311855443802252et_nat C) (@ (@ tptp.product_Pair_int_int A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.int) (C (-> tptp.int tptp.int tptp.set_int)) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.member_int Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc73460835934605544et_int C) (@ (@ tptp.product_Pair_int_int A) B)))))))
% 3.35/4.35  (assert (forall ((Z2 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc859037500352796105at_nat C) (@ (@ tptp.product_Pair_nat_num A) B)))))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_num) (Z2 Bool) (C (-> tptp.nat tptp.num tptp.set_o))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_o Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_o Z2) (@ (@ tptp.produc836176033315069408_set_o C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_num) (Z2 tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4130284055270567454et_nat C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_num) (Z2 tptp.int) (C (-> tptp.nat tptp.num tptp.set_int))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_int Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z2) (@ (@ tptp.produc9175805072616146554et_int C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_nat) (Z2 Bool) (C (-> tptp.nat tptp.nat tptp.set_o))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ tptp.member_o Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_o Z2) (@ (@ tptp.produc59986286002894506_set_o C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_nat) (Z2 tptp.nat) (C (-> tptp.nat tptp.nat tptp.set_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ tptp.member_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc6189476227299908564et_nat C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_nat) (Z2 tptp.int) (C (-> tptp.nat tptp.nat tptp.set_int))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ tptp.member_int Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z2) (@ (@ tptp.produc2011625207790711856et_int C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_int_int) (Z2 Bool) (C (-> tptp.int tptp.int tptp.set_o))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ tptp.member_o Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_o Z2) (@ (@ tptp.produc4257766111578684402_set_o C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_int_int) (Z2 tptp.nat) (C (-> tptp.int tptp.int tptp.set_nat))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ tptp.member_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4251311855443802252et_nat C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_int_int) (Z2 tptp.int) (C (-> tptp.int tptp.int tptp.set_int))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ tptp.member_int Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z2) (@ (@ tptp.produc73460835934605544et_int C) P)))))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_num) (Z2 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ tptp.produc859037500352796105at_nat C) P)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc27273713700761075at_nat (lambda ((Y5 tptp.nat) (X4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F X4) Y5) __flatten_var_0))) (@ tptp.product_swap_nat_nat P)) (@ (@ tptp.produc27273713700761075at_nat F) P))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y5 tptp.nat) (X4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F X4) Y5) __flatten_var_0))) (@ tptp.product_swap_nat_nat P)) (@ (@ tptp.produc8739625826339149834_nat_o F) P))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (P tptp.product_prod_int_int)) (= (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Y5 tptp.int) (X4 tptp.int)) (@ (@ F X4) Y5))) (@ tptp.product_swap_int_int P)) (@ (@ tptp.produc4245557441103728435nt_int F) P))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int)) (= (@ (@ tptp.produc4947309494688390418_int_o (lambda ((Y5 tptp.int) (X4 tptp.int)) (@ (@ F X4) Y5))) (@ tptp.product_swap_int_int P)) (@ (@ tptp.produc4947309494688390418_int_o F) P))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.int)) (P tptp.product_prod_int_int)) (= (@ (@ tptp.produc8211389475949308722nt_int (lambda ((Y5 tptp.int) (X4 tptp.int)) (@ (@ F X4) Y5))) (@ tptp.product_swap_int_int P)) (@ (@ tptp.produc8211389475949308722nt_int F) P))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num Bool))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member_o (@ (@ F A) B)) (@ (@ tptp.image_4451812852358507538_num_o (@ tptp.produc4927758841916487424_num_o F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num tptp.nat))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member_nat (@ (@ F A) B)) (@ (@ tptp.image_4504471508743443926um_nat (@ tptp.produc4973203077627929192um_nat F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num tptp.int))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member_int (@ (@ F A) B)) (@ (@ tptp.image_4501981038234393650um_int (@ tptp.produc4970712607118878916um_int F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) A4) (@ (@ tptp.member_o (@ (@ F A) B)) (@ (@ tptp.image_3693632289388996572_nat_o (@ tptp.produc6081775807080527818_nat_o F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) A4) (@ (@ tptp.member_nat (@ (@ F A) B)) (@ (@ tptp.image_2486076414777270412at_nat (@ tptp.produc6842872674320459806at_nat F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat tptp.int))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) A4) (@ (@ tptp.member_int (@ (@ F A) B)) (@ (@ tptp.image_2483585944268220136at_int (@ tptp.produc6840382203811409530at_int F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int tptp.nat))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) A4) (@ (@ tptp.member_nat (@ (@ F A) B)) (@ (@ tptp.image_5044651549707136836nt_nat (@ tptp.produc8213879946458358998nt_nat F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) A4) (@ (@ tptp.member_o (@ (@ F A) B)) (@ (@ tptp.image_2135063354759101220_int_o (@ tptp.produc4947309494688390418_int_o F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) A4) (@ (@ tptp.member_int (@ (@ F A) B)) (@ (@ tptp.image_5042161079198086560nt_int (@ tptp.produc8211389475949308722nt_int F)) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num tptp.product_prod_nat_nat))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ F A) B)) (@ (@ tptp.image_4217639968629731195at_nat (@ tptp.produc8564434177180591209at_nat F)) A4)))))
% 3.35/4.35  (assert (forall ((Inf (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ Inf A4))))
% 3.35/4.35  (assert (forall ((Inf (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ Inf A4))))
% 3.35/4.35  (assert (forall ((Sup (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ Sup A4))))
% 3.35/4.35  (assert (forall ((Sup (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ Sup A4))))
% 3.35/4.35  (assert (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> Bool Bool)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_o_o F) A4)) (not (forall ((X Bool)) (=> (= B (@ F X)) (not (@ (@ tptp.member_o X) A4))))))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.int Bool)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_int_o F) A4)) (not (forall ((X tptp.int)) (=> (= B (@ F X)) (not (@ (@ tptp.member_int X) A4))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_o_nat F) A4)) (not (forall ((X Bool)) (=> (= B (@ F X)) (not (@ (@ tptp.member_o X) A4))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_int_nat F) A4)) (not (forall ((X tptp.int)) (=> (= B (@ F X)) (not (@ (@ tptp.member_int X) A4))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_o_int F) A4)) (not (forall ((X Bool)) (=> (= B (@ F X)) (not (@ (@ tptp.member_o X) A4))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_int_int F) A4)) (not (forall ((X tptp.int)) (=> (= B (@ F X)) (not (@ (@ tptp.member_int X) A4))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_rat_rat F) (@ (@ tptp.image_nat_rat G) A4)) (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_rat_nat F) (@ (@ tptp.image_nat_rat G) A4)) (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.int)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_rat_int F) (@ (@ tptp.image_nat_rat G) A4)) (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.rat)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_int_rat F) (@ (@ tptp.image_nat_int G) A4)) (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_nat_nat G) A4)) (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_int_nat G) A4)) (@ (@ tptp.image_int_rat (lambda ((X4 tptp.int)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_nat_nat G) A4)) (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_int_nat G) A4)) (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_nat_nat G) A4)) (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_int_nat G) A4)) (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ F (@ G X4)))) A4))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (P2 (-> Bool Bool))) (= (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) (@ (@ tptp.image_o_o F) A4)) (@ P2 X4)))) (@ (@ tptp.image_o_o F) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (P2 (-> Bool Bool))) (= (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) (@ (@ tptp.image_int_o F) A4)) (@ P2 X4)))) (@ (@ tptp.image_int_o F) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (P2 (-> tptp.int Bool))) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) (@ (@ tptp.image_o_int F) A4)) (@ P2 X4)))) (@ (@ tptp.image_o_int F) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) (@ (@ tptp.image_int_int F) A4)) (@ P2 X4)))) (@ (@ tptp.image_int_int F) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.rat Bool))) (= (@ tptp.collect_rat (lambda ((X4 tptp.rat)) (and (@ (@ tptp.member_rat X4) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_rat F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (P2 (-> Bool Bool))) (= (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) (@ (@ tptp.image_nat_o F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_o F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.int Bool))) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) (@ (@ tptp.image_nat_int F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_int F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (P2 (-> tptp.nat Bool))) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) (@ (@ tptp.image_o_nat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_o_nat F) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.nat Bool))) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) (@ (@ tptp.image_int_nat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_int_nat F) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_nat F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.id_on_2554058798563519774at_nat (@ tptp.collec3392354462482085612at_nat A4)) (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (and (= X4 Y5) (@ A4 X4))))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.nat Bool))) (= (@ tptp.id_on_nat (@ tptp.collect_nat A4)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (= X4 Y5) (@ A4 X4))))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.id_on_8598933527810153430nt_int (@ tptp.collec213857154873943460nt_int A4)) (@ tptp.collec7447955092554649554nt_int (@ tptp.produc1676490119946744748_int_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.product_prod_int_int)) (and (= X4 Y5) (@ A4 X4))))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.int Bool))) (= (@ tptp.id_on_int (@ tptp.collect_int A4)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (and (= X4 Y5) (@ A4 X4))))))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (= (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3)) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (= R3 S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (= (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3)) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (= R3 S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (= (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3)) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (= R3 S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (= (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3)) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (= R3 S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (= (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3)) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (= R3 S5))))
% 3.35/4.35  (assert (forall ((C (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat) (Z2 tptp.product_prod_nat_nat)) (=> (@ (@ (@ tptp.produc8739625826339149834_nat_o C) P) Z2) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ (@ C X) Y) Z2))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat) (C tptp.product_prod_nat_nat)) (=> (@ (@ (@ tptp.produc8739625826339149834_nat_o R3) (@ (@ tptp.product_Pair_nat_nat A) B)) C) (@ (@ (@ R3 A) B) C))))
% 3.35/4.35  (assert (forall ((P tptp.produc1319942482725812455at_nat)) (= (@ (@ tptp.produc5456455677105495163at_nat tptp.produc9060074326276436823at_nat) P) P)))
% 3.35/4.35  (assert (forall ((P tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.produc7548845685434208379at_nat tptp.produc2922128104949294807at_nat) P) P)))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_num)) (= (@ (@ tptp.produc49306077274653107at_num tptp.product_Pair_nat_num) P) P)))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc2626176000494625587at_nat tptp.product_Pair_nat_nat) P) P)))
% 3.35/4.35  (assert (forall ((P tptp.product_prod_int_int)) (= (@ (@ tptp.produc4245557441103728435nt_int tptp.product_Pair_int_int) P) P)))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (Q2 (-> tptp.produc3843707927480180839at_nat Bool)) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat B5) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_le1268244103169919719at_nat (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) B5) (@ Q2 X4))))) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) A4) (@ P2 X4)))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_o) (Q2 (-> Bool Bool)) (P2 (-> Bool Bool))) (=> (@ (@ tptp.ord_less_eq_set_o B5) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_less_eq_set_o (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) B5) (@ Q2 X4))))) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 X4)))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_int) (A4 tptp.set_int) (Q2 (-> tptp.int Bool)) (P2 (-> tptp.int Bool))) (=> (@ (@ tptp.ord_less_eq_set_int B5) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_less_eq_set_int (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) B5) (@ Q2 X4))))) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 X4)))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (Q2 (-> tptp.product_prod_nat_nat Bool)) (P2 (-> tptp.product_prod_nat_nat Bool))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) B5) (@ Q2 X4))))) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ P2 X4)))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (Q2 (-> tptp.nat Bool)) (P2 (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_eq_set_nat B5) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) B5) (@ Q2 X4))))) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 X4)))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr958786334691620121nt_int) (A4 tptp.set_Pr958786334691620121nt_int) (Q2 (-> tptp.product_prod_int_int Bool)) (P2 (-> tptp.product_prod_int_int Bool))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) A4) (=> (forall ((X tptp.product_prod_int_int)) (=> (@ (@ tptp.member5262025264175285858nt_int X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) B5) (@ Q2 X4))))) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) A4) (@ P2 X4)))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (let ((_let_1 (@ tptp.ord_le1268244103169919719at_nat B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) A4) (@ P2 X4))))) (forall ((X4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X4) B5) (@ P2 X4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_o) (P2 (-> Bool Bool))) (let ((_let_1 (@ tptp.ord_less_eq_set_o B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 X4))))) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) B5) (@ P2 X4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_int) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (let ((_let_1 (@ tptp.ord_less_eq_set_int B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 X4))))) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) B5) (@ P2 X4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ P2 X4))))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) B5) (@ P2 X4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 X4))))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) B5) (@ P2 X4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr958786334691620121nt_int) (A4 tptp.set_Pr958786334691620121nt_int) (P2 (-> tptp.product_prod_int_int Bool))) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) A4) (@ P2 X4))))) (forall ((X4 tptp.product_prod_int_int)) (=> (@ (@ tptp.member5262025264175285858nt_int X4) B5) (@ P2 X4))))))))
% 3.35/4.35  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (Z5 tptp.set_Pr4329608150637261639at_nat) (X5 tptp.set_Pr4329608150637261639at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat X2) Z5) (=> (@ (@ tptp.ord_le1268244103169919719at_nat Z5) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) X5) (@ P2 X4))))) (@ P2 X2)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (Z5 tptp.set_o) (X5 tptp.set_o) (P2 (-> Bool Bool))) (=> (@ (@ tptp.member_o X2) Z5) (=> (@ (@ tptp.ord_less_eq_set_o Z5) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) X5) (@ P2 X4))))) (@ P2 X2)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Z5 tptp.set_int) (X5 tptp.set_int) (P2 (-> tptp.int Bool))) (=> (@ (@ tptp.member_int X2) Z5) (=> (@ (@ tptp.ord_less_eq_set_int Z5) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) X5) (@ P2 X4))))) (@ P2 X2)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_nat) (Z5 tptp.set_Pr1261947904930325089at_nat) (X5 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) Z5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat Z5) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) X5) (@ P2 X4))))) (@ P2 X2)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Z5 tptp.set_nat) (X5 tptp.set_nat) (P2 (-> tptp.nat Bool))) (=> (@ (@ tptp.member_nat X2) Z5) (=> (@ (@ tptp.ord_less_eq_set_nat Z5) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) X5) (@ P2 X4))))) (@ P2 X2)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_int_int) (Z5 tptp.set_Pr958786334691620121nt_int) (X5 tptp.set_Pr958786334691620121nt_int) (P2 (-> tptp.product_prod_int_int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int X2) Z5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int Z5) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) X5) (@ P2 X4))))) (@ P2 X2)))))
% 3.35/4.35  (assert (forall ((X5 tptp.set_Pr4329608150637261639at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (@ (@ tptp.ord_le1268244103169919719at_nat (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) X5) (@ P2 X4))))) X5)))
% 3.35/4.35  (assert (forall ((X5 tptp.set_o) (P2 (-> Bool Bool))) (@ (@ tptp.ord_less_eq_set_o (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) X5) (@ P2 X4))))) X5)))
% 3.35/4.35  (assert (forall ((X5 tptp.set_int) (P2 (-> tptp.int Bool))) (@ (@ tptp.ord_less_eq_set_int (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) X5) (@ P2 X4))))) X5)))
% 3.35/4.35  (assert (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) X5) (@ P2 X4))))) X5)))
% 3.35/4.35  (assert (forall ((X5 tptp.set_nat) (P2 (-> tptp.nat Bool))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) X5) (@ P2 X4))))) X5)))
% 3.35/4.35  (assert (forall ((X5 tptp.set_Pr958786334691620121nt_int) (P2 (-> tptp.product_prod_int_int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) X5) (@ P2 X4))))) X5)))
% 3.35/4.35  (assert (forall ((T2 (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat (lambda ((X4 Bool)) X4)) T2) T2)))
% 3.35/4.35  (assert (forall ((T2 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat (lambda ((X4 tptp.nat)) X4)) T2) T2)))
% 3.35/4.35  (assert (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((L3 tptp.nat) (R5 tptp.nat)) (@ (@ (@ F2 L3) R5) Y5))) X4))))
% 3.35/4.35  (assert (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((L3 tptp.nat) (R5 tptp.nat)) (@ (@ (@ F2 L3) R5) Y5))) X4))))
% 3.35/4.35  (assert (forall ((H (-> Bool Bool)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> Bool tptp.int)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> tptp.int tptp.int)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> tptp.product_prod_int_int tptp.int)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> Bool tptp.product_prod_int_int)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> tptp.int tptp.product_prod_int_int)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> tptp.product_prod_int_int tptp.product_prod_int_int)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))))
% 3.35/4.35  (assert (forall ((H (-> (-> tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod tptp.product_prod_nat_nat)) (= (@ H (@ (@ tptp.produc8739625826339149834_nat_o F) Prod)) (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X12 tptp.nat) (X23 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ H (@ (@ F X12) X23)) __flatten_var_0))) Prod))))
% 3.35/4.35  (assert (forall ((Prod tptp.product_prod_int_int)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((Uu tptp.int) (Uv tptp.int)) true)) Prod)))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.int)) (=> (@ P2 X) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) (@ tptp.collect_int P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.int)) (=> (@ P2 X) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) (@ tptp.collect_int P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_rat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) (@ tptp.collect_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o F) (@ tptp.collect_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) (@ tptp.collect_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) (@ tptp.collect_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ P2 X) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_3693632289388996572_nat_o F) (@ tptp.collec3392354462482085612at_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ P2 X) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) (@ tptp.collec3392354462482085612at_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ P2 X) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_2483585944268220136at_int F) (@ tptp.collec3392354462482085612at_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.product_prod_nat_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member8440522571783428010at_nat (@ F X)) B5))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) (@ tptp.collect_nat P2))) B5))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_rat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_nat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_int (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_nat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_char_int G) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_int (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_char_int G) tptp.top_top_set_char)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_nat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_int (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_nat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_int (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat)))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.char Bool))) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_char_o F) tptp.top_top_set_char)) (not (forall ((X tptp.char)) (= B (not (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.char tptp.nat))) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)) (not (forall ((X tptp.char)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.char tptp.int))) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_char_int F) tptp.top_top_set_char)) (not (forall ((X tptp.char)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.rat Bool))) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)) (not (forall ((X tptp.rat)) (= B (not (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.rat tptp.nat))) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)) (not (forall ((X tptp.rat)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.rat tptp.int))) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)) (not (forall ((X tptp.rat)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((B Bool) (F (-> tptp.nat Bool))) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (= B (not (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (not (= B (@ F X))))))))
% 3.35/4.35  (assert (forall ((Sb (-> tptp.num tptp.num Bool)) (I (-> tptp.nat tptp.num)) (X2 (-> tptp.int tptp.nat)) (Y3 (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sb) (@ (@ tptp.comp_nat_num_int I) X2)) Y3) (@ (@ (@ (@ tptp.bNF_re272988434038980259at_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.nat) (__flatten_var_0 tptp.num)) (@ (@ Sb (@ I X4)) __flatten_var_0))) X2) Y3))))
% 3.35/4.35  (assert (forall ((Sb (-> tptp.num tptp.num Bool)) (I (-> tptp.num tptp.num)) (X2 (-> tptp.int tptp.num)) (Y3 (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sb) (@ (@ tptp.comp_num_num_int I) X2)) Y3) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.num) (__flatten_var_0 tptp.num)) (@ (@ Sb (@ I X4)) __flatten_var_0))) X2) Y3))))
% 3.35/4.35  (assert (forall ((Sa (-> tptp.num tptp.num Bool)) (X2 (-> tptp.int tptp.num)) (G (-> tptp.nat tptp.num)) (Y3 (-> tptp.int tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sa) X2) (@ (@ tptp.comp_nat_num_int G) Y3)) (@ (@ (@ (@ tptp.bNF_re1845987051190671011um_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ Sa X4) (@ G Y5)))) X2) Y3))))
% 3.35/4.35  (assert (forall ((Sa (-> tptp.num tptp.num Bool)) (X2 (-> tptp.int tptp.num)) (G (-> tptp.num tptp.num)) (Y3 (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sa) X2) (@ (@ tptp.comp_num_num_int G) Y3)) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.num) (Y5 tptp.num)) (@ (@ Sa X4) (@ G Y5)))) X2) Y3))))
% 3.35/4.35  (assert (forall ((Q2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (P2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Z2 tptp.product_prod_nat_nat)) (=> (@ Q2 (@ (@ tptp.produc27273713700761075at_nat P2) Z2)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= Z2 (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))))
% 3.35/4.35  (assert (forall ((Q2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (P2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Z2 tptp.product_prod_nat_nat)) (=> (@ Q2 (@ (@ tptp.produc8739625826339149834_nat_o P2) Z2)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= Z2 (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))))
% 3.35/4.35  (assert (forall ((Q2 (-> tptp.product_prod_int_int Bool)) (P2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (Z2 tptp.product_prod_int_int)) (=> (@ Q2 (@ (@ tptp.produc4245557441103728435nt_int P2) Z2)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= Z2 (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))))
% 3.35/4.35  (assert (forall ((Q2 (-> Bool Bool)) (P2 (-> tptp.int tptp.int Bool)) (Z2 tptp.product_prod_int_int)) (=> (@ Q2 (@ (@ tptp.produc4947309494688390418_int_o P2) Z2)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= Z2 (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))))
% 3.35/4.35  (assert (forall ((Q2 (-> tptp.int Bool)) (P2 (-> tptp.int tptp.int tptp.int)) (Z2 tptp.product_prod_int_int)) (=> (@ Q2 (@ (@ tptp.produc8211389475949308722nt_int P2) Z2)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= Z2 (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ F (@ (@ tptp.product_Pair_nat_nat X4) Y5)) __flatten_var_0))) F)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ F (@ (@ tptp.product_Pair_nat_nat X4) Y5)) __flatten_var_0))) F)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (= (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X4) Y5)))) F)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_prod_int_int Bool))) (= (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X4) Y5)))) F)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_prod_int_int tptp.int))) (= (@ tptp.produc8211389475949308722nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X4) Y5)))) F)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_nat_nat X) Y)))) (= (@ tptp.produc27273713700761075at_nat F) G))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_nat_nat X) Y)))) (= (@ tptp.produc8739625826339149834_nat_o F) G))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (=> (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_int_int X) Y)))) (= (@ tptp.produc4245557441103728435nt_int F) G))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int Bool)) (G (-> tptp.product_prod_int_int Bool))) (=> (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_int_int X) Y)))) (= (@ tptp.produc4947309494688390418_int_o F) G))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.int)) (G (-> tptp.product_prod_int_int tptp.int))) (=> (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_int_int X) Y)))) (= (@ tptp.produc8211389475949308722nt_int F) G))))
% 3.35/4.35  (assert (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.produc9020218426428501292_nat_o F) (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.produc410239310623530412_nat_o F) (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ tptp.produc4927758841916487424_num_o F) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))))
% 3.35/4.35  (assert (forall ((C (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (P tptp.produc1319942482725812455at_nat)) (=> (@ (@ tptp.produc9020218426428501292_nat_o C) P) (not (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (= P (@ (@ tptp.produc9060074326276436823at_nat X) Y)) (not (@ (@ C X) Y))))))))
% 3.35/4.35  (assert (forall ((C (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (P tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.produc410239310623530412_nat_o C) P) (not (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (= P (@ (@ tptp.produc2922128104949294807at_nat X) Y)) (not (@ (@ C X) Y))))))))
% 3.35/4.35  (assert (forall ((C (-> tptp.nat tptp.num Bool)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.produc4927758841916487424_num_o C) P) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ C X) Y))))))))
% 3.35/4.35  (assert (forall ((C (-> tptp.nat tptp.nat Bool)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.produc6081775807080527818_nat_o C) P) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ C X) Y))))))))
% 3.35/4.35  (assert (forall ((C (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.produc4947309494688390418_int_o C) P) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ C X) Y))))))))
% 3.35/4.35  (assert (= tptp.produc473321116828791851t_unit (@ tptp.produc4846201513286513633_ref_a (lambda ((X12 tptp.ref_a) (X23 tptp.heap_e7401611519738050253t_unit)) X12))))
% 3.35/4.35  (assert (= tptp.product_fst_int_int (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) X12))))
% 3.35/4.35  (assert (= tptp.produc1126150082675451753t_unit (@ tptp.produc2552614499379209865t_unit (lambda ((X12 tptp.ref_a) (X23 tptp.heap_e7401611519738050253t_unit)) X23))))
% 3.35/4.35  (assert (= tptp.product_snd_int_int (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) X23))))
% 3.35/4.35  (assert (= tptp.produc6036585564866528938nt_int (lambda ((F2 (-> tptp.int tptp.int)) (G3 (-> tptp.int tptp.int)) (__flatten_var_0 tptp.product_prod_int_int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ F2 X4)) (@ G3 Y5)))) __flatten_var_0))))
% 3.35/4.35  (assert (forall ((H (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc27273713700761075at_nat H) (@ (@ (@ tptp.produc6977886695330630970at_nat F) G) X2)) (@ (@ tptp.produc27273713700761075at_nat (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ H (@ F L3)) (@ G R5)) __flatten_var_0))) X2))))
% 3.35/4.35  (assert (forall ((H (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o H) (@ (@ (@ tptp.produc6977886695330630970at_nat F) G) X2)) (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ H (@ F L3)) (@ G R5)) __flatten_var_0))) X2))))
% 3.35/4.35  (assert (forall ((H (-> tptp.int tptp.int tptp.product_prod_int_int)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.product_prod_int_int)) (= (@ (@ tptp.produc4245557441103728435nt_int H) (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) X2)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ H (@ F L3)) (@ G R5)))) X2))))
% 3.35/4.35  (assert (forall ((H (-> tptp.int tptp.int Bool)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.product_prod_int_int)) (= (@ (@ tptp.produc4947309494688390418_int_o H) (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) X2)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ H (@ F L3)) (@ G R5)))) X2))))
% 3.35/4.35  (assert (forall ((H (-> tptp.int tptp.int tptp.int)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.product_prod_int_int)) (= (@ (@ tptp.produc8211389475949308722nt_int H) (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) X2)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ H (@ F L3)) (@ G R5)))) X2))))
% 3.35/4.35  (assert (forall ((R (-> tptp.int tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.relcom716700242784427165at_nat R) S2)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat S2)) (@ tptp.conver1866313717161370910at_nat R)))))
% 3.35/4.35  (assert (forall ((R (-> tptp.code_integer tptp.int Bool)) (S2 (-> tptp.int tptp.int Bool))) (= (@ tptp.conver1462408618118490240er_int (@ (@ tptp.relcom3789353511612409832nt_int R) S2)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int S2)) (@ tptp.conver1462408618118490240er_int R)))))
% 3.35/4.35  (assert (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ tptp.conver4689305806000247544at_int (@ (@ tptp.relcom8911704206367525917at_int R) S2)) (@ (@ tptp.relcom716700242784427165at_nat (@ tptp.conver4689305806000247544at_int S2)) (@ tptp.conver6965824823119931701at_nat R)))))
% 3.35/4.35  (assert (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool))) (= (@ tptp.conver2101108097643427968nteger (@ (@ tptp.relcom967497705283160040nteger R) S2)) (@ (@ tptp.relcom3789353511612409832nt_int (@ tptp.conver2101108097643427968nteger S2)) (@ tptp.conversep_int_int R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr7459493094073627847at_nat) (R3 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool))) (=> (@ (@ tptp.ord_le5997549366648089703at_nat A4) (@ tptp.collec7872792499061297490at_nat (@ tptp.produc9020218426428501292_nat_o (@ tptp.conver9095369822871743413at_nat R3)))) (@ (@ tptp.ord_le5997549366648089703at_nat (@ (@ tptp.image_3313167189156628421at_nat (@ tptp.produc5456455677105495163at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat Y5) X4)))) A4)) (@ tptp.collec7872792499061297490at_nat (@ tptp.produc9020218426428501292_nat_o R3))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R3 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ tptp.conver5243090411617913141at_nat R3)))) (@ (@ tptp.ord_le1268244103169919719at_nat (@ (@ tptp.image_960689587819713477at_nat (@ tptp.produc7548845685434208379at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat Y5) X4)))) A4)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o R3))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr3280342998896498603um_nat) (R3 (-> tptp.nat tptp.num Bool))) (=> (@ (@ tptp.ord_le5164908622851071819um_nat A4) (@ tptp.collec1522684865789554998um_nat (@ tptp.produc6857965554392702720_nat_o (@ tptp.conversep_nat_num R3)))) (@ (@ tptp.ord_le8085105155179020875at_num (@ (@ tptp.image_7762062833379733445at_num (@ tptp.produc5219324331026901427at_num (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_num Y5) X4)))) A4)) (@ tptp.collec4100598399430923318at_num (@ tptp.produc4927758841916487424_num_o R3))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R3 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ tptp.conversep_nat_nat R3)))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) A4)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr958786334691620121nt_int) (R3 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ tptp.conversep_int_int R3)))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2653370878348428101nt_int (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int Y5) X4)))) A4)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.produc3843707927480180839at_nat) (S5 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (Y3 Bool)) (let ((_let_1 (@ tptp.member8757157785044589968at_nat X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o4913564575355137019t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.product_prod_nat_nat) (S5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (Y3 Bool)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o2254869825208929t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 Bool) (S5 (-> Bool tptp.set_o)) (Y3 Bool)) (let ((_let_1 (@ tptp.member_o X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o6895741221744486154t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.nat) (S5 (-> Bool tptp.set_nat)) (Y3 Bool)) (let ((_let_1 (@ tptp.member_nat X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o9190160103024335696t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.int) (S5 (-> Bool tptp.set_int)) (Y3 Bool)) (let ((_let_1 (@ tptp.member_int X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o1521574261646630388t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (F (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi6818137723729380987_o_o_o F) Rep) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (F (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.char))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi9149698133064535136char_o F) Rep) (@ (@ tptp.bNF_Grp_int_char (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_char_nat_int Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (F (-> tptp.nat Bool)) (P2 (-> Bool Bool)) (H (-> Bool tptp.char))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi8816436626763797690char_o F) Rep) (@ (@ tptp.bNF_Grp_o_char (@ tptp.collect_o P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (F (-> tptp.int tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.char))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi1300075849944819442char_o F) Rep) (@ (@ tptp.bNF_Grp_nat_char (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_int_num (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (F (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.char))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi8943400373106913048char_o F) Rep) (@ (@ tptp.bNF_Grp_nat_char (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_char_nat_nat Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (F (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.rat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi1281217848275042457_rat_o F) Rep) (@ (@ tptp.bNF_Grp_int_rat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_rat_nat_int Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.rat)) (Abs (-> tptp.rat Bool)) (F (-> tptp.nat Bool)) (P2 (-> Bool Bool)) (H (-> Bool tptp.rat))) (=> (@ (@ (@ tptp.type_d6486251586359353412_o_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi3868162310295888627_rat_o F) Rep) (@ (@ tptp.bNF_Grp_o_rat (@ tptp.collect_o P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_rat_o_o Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.rat)) (Abs (-> tptp.rat tptp.num)) (F (-> tptp.int tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.rat))) (=> (@ (@ (@ tptp.type_d3745694291998722336um_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi7769575839906753835_rat_o F) Rep) (@ (@ tptp.bNF_Grp_nat_rat (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_int_num (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_rat_num_nat Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.rat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi2930123780028963665_rat_o F) Rep) (@ (@ tptp.bNF_Grp_nat_rat (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_rat_nat_nat Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi5018550775591610529_nat_o F) Rep) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_nat_nat_int Abs) H)) F))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (G (-> tptp.nat tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (= (@ (@ (@ tptp.bNF_vi1731478210338170163_nat_o G) Abs) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_nat_num (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_int_num_nat (@ (@ tptp.comp_nat_num_int Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (G (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi6818137723729380987_o_o_o G) Abs) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.int))) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi3197508430158922565_int_o G) Abs) (@ (@ tptp.bNF_Grp_int_int (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_int_nat_int Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.int))) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi8357618154448083105_int_o G) Abs) (@ (@ tptp.bNF_Grp_int_int (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi6667456707345531737_nat_o G) Abs) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_nat_nat_nat Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (G (-> tptp.nat Bool)) (P2 (-> Bool Bool)) (H (-> Bool tptp.product_unit))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi5856767400800367702unit_o G) Abs) (@ (@ tptp.bNF_Gr395642070819736771t_unit (@ tptp.collect_o P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_P5156358013004227690it_o_o Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (G (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.product_unit))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi1443435967014148806unit_o G) Abs) (@ (@ tptp.bNF_Gr1993012052113314029t_unit (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_P4985893458130756478_o_nat Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (G (-> tptp.product_prod_nat_nat tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (= (@ (@ (@ tptp.bNF_vi9094538908245281400_nat_o G) Abs) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Gr5974128493091723341at_num (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_i1186163378102392086at_nat (@ (@ tptp.comp_nat_num_int Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (G (-> tptp.product_prod_int_int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (= (@ (@ (@ tptp.bNF_vi1633389952966819264_nat_o G) Abs) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Gr8532703628021589765nt_num (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_i7231038107349025742nt_int (@ (@ tptp.comp_nat_num_int Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (G (-> tptp.product_prod_nat_nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi9025507403824386624_o_o_o G) Abs) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Gr8859634586176591525_nat_o (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_n1662990198670838940at_nat (@ (@ tptp.comp_o_o_nat Rep) H)) G))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat tptp.nat Bool)) (P tptp.product_prod_nat_nat) (Q2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ (@ P2 (@ tptp.product_snd_nat_nat P)) (@ tptp.product_fst_nat_nat P)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc27273713700761075at_nat F) P))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat tptp.nat Bool)) (P tptp.product_prod_nat_nat) (Q2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool))) (=> (@ (@ P2 (@ tptp.product_snd_nat_nat P)) (@ tptp.product_fst_nat_nat P)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc8739625826339149834_nat_o F) P))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int) (Q2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int))) (=> (@ (@ P2 (@ tptp.product_snd_int_int P)) (@ tptp.product_fst_int_int P)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc4245557441103728435nt_int F) P))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int) (Q2 (-> Bool Bool)) (F (-> tptp.int tptp.int Bool))) (=> (@ (@ P2 (@ tptp.product_snd_int_int P)) (@ tptp.product_fst_int_int P)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc4947309494688390418_int_o F) P))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int) (Q2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int))) (=> (@ (@ P2 (@ tptp.product_snd_int_int P)) (@ tptp.product_fst_int_int P)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc8211389475949308722nt_int F) P))))))
% 3.35/4.35  (assert (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X4 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat X4)) (@ tptp.product_snd_nat_nat X4)) __flatten_var_0))))
% 3.35/4.35  (assert (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X4 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat X4)) (@ tptp.product_snd_nat_nat X4)) __flatten_var_0))))
% 3.35/4.35  (assert (= tptp.produc4245557441103728435nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (X4 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int X4)) (@ tptp.product_snd_int_int X4)))))
% 3.35/4.35  (assert (= tptp.produc4947309494688390418_int_o (lambda ((F2 (-> tptp.int tptp.int Bool)) (X4 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int X4)) (@ tptp.product_snd_int_int X4)))))
% 3.35/4.35  (assert (= tptp.produc8211389475949308722nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.int)) (X4 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int X4)) (@ tptp.product_snd_int_int X4)))))
% 3.35/4.35  (assert (= tptp.produc27273713700761075at_nat (lambda ((C4 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ C4 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))))
% 3.35/4.35  (assert (= tptp.produc8739625826339149834_nat_o (lambda ((C4 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ C4 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))))
% 3.35/4.35  (assert (= tptp.produc4245557441103728435nt_int (lambda ((C4 (-> tptp.int tptp.int tptp.product_prod_int_int)) (P3 tptp.product_prod_int_int)) (@ (@ C4 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))))
% 3.35/4.35  (assert (= tptp.produc4947309494688390418_int_o (lambda ((C4 (-> tptp.int tptp.int Bool)) (P3 tptp.product_prod_int_int)) (@ (@ C4 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))))
% 3.35/4.35  (assert (= tptp.produc8211389475949308722nt_int (lambda ((C4 (-> tptp.int tptp.int tptp.int)) (P3 tptp.product_prod_int_int)) (@ (@ C4 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.ord_le3072208448688395470_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (@ (@ tptp.ord_le5997549366648089703at_nat R3) S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.ord_le3935385432712749774_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (@ (@ tptp.ord_le1268244103169919719at_nat R3) S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.ord_le3404735783095501756_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (@ (@ tptp.ord_le8085105155179020875at_num R3) S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le2646555220125990790_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (@ (@ tptp.ord_le3146513528884898305at_nat R3) S5))))
% 3.35/4.35  (assert (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.ord_le6741204236512500942_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (@ (@ tptp.ord_le2843351958646193337nt_int R3) S5))))
% 3.35/4.35  (assert (= tptp.finite8619596206551965927at_nat (lambda ((S4 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat))) (forall ((X4 tptp.produc3843707927480180839at_nat) (Y5 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member8757157785044589968at_nat X4) S4) (=> (@ (@ tptp.member8757157785044589968at_nat Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))
% 3.35/4.35  (assert (= tptp.finite2110315540964234241at_nat (lambda ((S4 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat))) (forall ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member8440522571783428010at_nat X4) S4) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))
% 3.35/4.35  (assert (= tptp.finite4703585013658510744_o_nat (lambda ((S4 tptp.set_o) (F2 (-> Bool tptp.nat tptp.nat))) (forall ((X4 Bool) (Y5 Bool)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member_o X4) S4) (=> (@ (@ tptp.member_o Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))
% 3.35/4.35  (assert (= tptp.finite3582905537739598962at_nat (lambda ((S4 tptp.set_nat) (F2 (-> tptp.nat tptp.nat tptp.nat))) (forall ((X4 tptp.nat) (Y5 tptp.nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member_nat X4) S4) (=> (@ (@ tptp.member_nat Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))
% 3.35/4.35  (assert (= tptp.finite4582259249640653518nt_nat (lambda ((S4 tptp.set_int) (F2 (-> tptp.int tptp.nat tptp.nat))) (forall ((X4 tptp.int) (Y5 tptp.int)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member_int X4) S4) (=> (@ (@ tptp.member_int Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite8619596206551965927at_nat S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite2110315540964234241at_nat S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat)) (X2 Bool) (Y3 Bool)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite4703585013658510744_o_nat S5) F) (=> (@ (@ tptp.member_o X2) S5) (=> (@ (@ tptp.member_o Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite3582905537739598962at_nat S5) F) (=> (@ (@ tptp.member_nat X2) S5) (=> (@ (@ tptp.member_nat Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat)) (X2 tptp.int) (Y3 tptp.int)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite4582259249640653518nt_nat S5) F) (=> (@ (@ tptp.member_int X2) S5) (=> (@ (@ tptp.member_int Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat Bool Bool)) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite2818816984019561153_nat_o S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite8619596206551965927at_nat S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat Bool Bool)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite1496024664758132007_nat_o S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite2110315540964234241at_nat S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_o) (F (-> Bool Bool Bool)) (X2 Bool) (Y3 Bool) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite7905178416053733328on_o_o S5) F) (=> (@ (@ tptp.member_o X2) S5) (=> (@ (@ tptp.member_o Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat)) (X2 Bool) (Y3 Bool) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite4703585013658510744_o_nat S5) F) (=> (@ (@ tptp.member_o X2) S5) (=> (@ (@ tptp.member_o Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.nat Bool Bool)) (X2 tptp.nat) (Y3 tptp.nat) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite7806256374766696054_nat_o S5) F) (=> (@ (@ tptp.member_nat X2) S5) (=> (@ (@ tptp.member_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite3582905537739598962at_nat S5) F) (=> (@ (@ tptp.member_nat X2) S5) (=> (@ (@ tptp.member_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_int) (F (-> tptp.int Bool Bool)) (X2 tptp.int) (Y3 tptp.int) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite5985214029334008090_int_o S5) F) (=> (@ (@ tptp.member_int X2) S5) (=> (@ (@ tptp.member_int Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat)) (X2 tptp.int) (Y3 tptp.int) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite4582259249640653518nt_nat S5) F) (=> (@ (@ tptp.member_int X2) S5) (=> (@ (@ tptp.member_int Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat))) (=> (forall ((X tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member8757157785044589968at_nat X) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite8619596206551965927at_nat S5) F))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member8440522571783428010at_nat X) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite2110315540964234241at_nat S5) F))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat))) (=> (forall ((X Bool) (Y Bool)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member_o X) S5) (=> (@ (@ tptp.member_o Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite4703585013658510744_o_nat S5) F))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member_nat X) S5) (=> (@ (@ tptp.member_nat Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite3582905537739598962at_nat S5) F))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat))) (=> (forall ((X tptp.int) (Y tptp.int)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member_int X) S5) (=> (@ (@ tptp.member_int Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite4582259249640653518nt_nat S5) F))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P3913276677246710332at_nat (@ tptp.produc27273713700761075at_nat F)) (@ (@ tptp.produc6977886695330630970at_nat G1) G22)) (@ tptp.produc27273713700761075at_nat (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F (@ G1 L3)) (@ G22 R5)) __flatten_var_0))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P2002127591014248037at_nat (@ tptp.produc8739625826339149834_nat_o F)) (@ (@ tptp.produc6977886695330630970at_nat G1) G22)) (@ tptp.produc8739625826339149834_nat_o (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F (@ G1 L3)) (@ G22 R5)) __flatten_var_0))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G1 (-> tptp.int tptp.int)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P2788356708182965334nt_int (@ tptp.produc4245557441103728435nt_int F)) (@ (@ tptp.produc6036585564866528938nt_int G1) G22)) (@ tptp.produc4245557441103728435nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ F (@ G1 L3)) (@ G22 R5)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int Bool)) (G1 (-> tptp.int tptp.int)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P9034173210191959223nt_int (@ tptp.produc4947309494688390418_int_o F)) (@ (@ tptp.produc6036585564866528938nt_int G1) G22)) (@ tptp.produc4947309494688390418_int_o (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ F (@ G1 L3)) (@ G22 R5)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int tptp.int)) (G1 (-> tptp.int tptp.int)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P5356232565778667509nt_int (@ tptp.produc8211389475949308722nt_int F)) (@ (@ tptp.produc6036585564866528938nt_int G1) G22)) (@ tptp.produc8211389475949308722nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ F (@ G1 L3)) (@ G22 R5)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Abs (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ (@ tptp.type_d281131942595027436at_nat Rep) Abs) tptp.top_to4669805908274784177at_nat) (= (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o F) G) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat R3)) S5)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ (@ tptp.bNF_vi763171854521451549_nat_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o Rep) G) S5))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.product_prod_nat_nat)) (Abs (-> tptp.product_prod_nat_nat tptp.int)) (F (-> tptp.int tptp.product_prod_nat_nat)) (G (-> tptp.code_integer tptp.int)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ (@ tptp.type_d7732240953928457511at_nat Rep) Abs) tptp.top_to4669805908274784177at_nat) (= (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o F) G) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat R3)) S5)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ (@ tptp.bNF_vi1204582724742824157_nat_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o Rep) G) S5))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_prod_nat_nat tptp.int)) (Abs (-> tptp.int tptp.product_prod_nat_nat)) (F (-> tptp.product_prod_nat_nat tptp.int)) (G (-> tptp.int tptp.code_integer)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ (@ tptp.type_d1331861005912558337at_int Rep) Abs) tptp.top_top_set_int) (= (@ (@ (@ tptp.bNF_vi33923956287962137eger_o F) G) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int R3)) S5)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ (@ tptp.bNF_vi2682369418337388893_int_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi33923956287962137eger_o Rep) G) S5))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.int)) (Abs (-> tptp.int tptp.int)) (F (-> tptp.int tptp.int)) (G (-> tptp.code_integer tptp.code_integer)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ (@ tptp.type_d7247357190169752966nt_int Rep) Abs) tptp.top_top_set_int) (= (@ (@ (@ tptp.bNF_vi699694178825965831eger_o F) G) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int R3)) S5)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi699694178825965831eger_o Rep) G) S5))))))
% 3.35/4.35  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) Y3)) (@ tptp.id_on_7869290023980668164at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member8757157785044589968at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) (@ tptp.id_on_2554058798563519774at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member8440522571783428010at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (Y3 Bool) (A4 tptp.set_o)) (= (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X2) Y3)) (@ tptp.id_on_o A4)) (and (= X2 Y3) (@ (@ tptp.member_o X2) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ tptp.id_on_3275838214495744996at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member6273874620674182256at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ tptp.id_on_6713504163309144702at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member2643936169264416010at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (A4 tptp.set_nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ tptp.id_on_nat A4)) (and (= X2 Y3) (@ (@ tptp.member_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Y3 tptp.int) (A4 tptp.set_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ tptp.id_on_int A4)) (and (= X2 Y3) (@ (@ tptp.member_int X2) A4)))))
% 3.35/4.35  (assert (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (= A B) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) (@ tptp.id_on_7869290023980668164at_nat A4))))))
% 3.35/4.35  (assert (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (= A B) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) (@ tptp.id_on_2554058798563519774at_nat A4))))))
% 3.35/4.35  (assert (forall ((A Bool) (B Bool) (A4 tptp.set_o)) (=> (= A B) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ tptp.id_on_o A4))))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (= A B) (=> (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ tptp.id_on_3275838214495744996at_nat A4))))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (= A B) (=> (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ tptp.id_on_6713504163309144702at_nat A4))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat)) (=> (= A B) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ tptp.id_on_nat A4))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int)) (=> (= A B) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ tptp.id_on_int A4))))))
% 3.35/4.35  (assert (forall ((C tptp.produc1906917888121415911at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6009668390874684176at_nat C) (@ tptp.id_on_7869290023980668164at_nat A4)) (not (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (not (= C (@ (@ tptp.produc2335810615602371415at_nat X) X)))))))))
% 3.35/4.35  (assert (forall ((C tptp.produc859450856879609959at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat C) (@ tptp.id_on_2554058798563519774at_nat A4)) (not (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (not (= C (@ (@ tptp.produc6161850002892822231at_nat X) X)))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_o_o) (A4 tptp.set_o)) (=> (@ (@ tptp.member7466972457876170832od_o_o C) (@ tptp.id_on_o A4)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= C (@ (@ tptp.product_Pair_o_o X) X)))))))))
% 3.35/4.35  (assert (forall ((C tptp.produc1319942482725812455at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat C) (@ tptp.id_on_3275838214495744996at_nat A4)) (not (forall ((X tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X) A4) (not (= C (@ (@ tptp.produc9060074326276436823at_nat X) X)))))))))
% 3.35/4.35  (assert (forall ((C tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat C) (@ tptp.id_on_6713504163309144702at_nat A4)) (not (forall ((X tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X) A4) (not (= C (@ (@ tptp.produc2922128104949294807at_nat X) X)))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ tptp.id_on_nat A4)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (= C (@ (@ tptp.product_Pair_nat_nat X) X)))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_int_int) (A4 tptp.set_int)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ tptp.id_on_int A4)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= C (@ (@ tptp.product_Pair_int_int X) X)))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ (@ tptp.bNF_re578469030762574527_nat_o R1) (@ (@ tptp.bNF_re4705727531993890431at_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ (@ tptp.member8440522571783428010at_nat B) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R1))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R22))) (= (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.product_fst_nat_nat B)) (@ (@ Q2 (@ tptp.product_snd_nat_nat A)) (@ tptp.product_snd_nat_nat B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.int tptp.int Bool)) (P2 (-> tptp.nat tptp.int Bool)) (Q2 (-> tptp.nat tptp.int Bool)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_int_int) (B5 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ (@ (@ tptp.bNF_re605504016728627135_int_o R1) (@ (@ tptp.bNF_re5089333283451836215nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ (@ tptp.member5262025264175285858nt_int B) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R1))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R22))) (= (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.product_fst_int_int B)) (@ (@ Q2 (@ tptp.product_snd_nat_nat A)) (@ tptp.product_snd_int_int B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (P2 (-> tptp.int tptp.nat Bool)) (Q2 (-> tptp.int tptp.nat Bool)) (A tptp.product_prod_int_int) (A4 tptp.set_Pr958786334691620121nt_int) (B tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ (@ tptp.bNF_re3376528473927230327_nat_o R1) (@ (@ tptp.bNF_re4705727531993890431at_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member5262025264175285858nt_int A) A4) (=> (@ (@ tptp.member8440522571783428010at_nat B) B5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R1))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R22))) (= (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.product_fst_nat_nat B)) (@ (@ Q2 (@ tptp.product_snd_int_int A)) (@ tptp.product_snd_nat_nat B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool)) (A tptp.product_prod_int_int) (A4 tptp.set_Pr958786334691620121nt_int) (B tptp.product_prod_int_int) (B5 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ (@ (@ tptp.bNF_re3403563459893282935_int_o R1) (@ (@ tptp.bNF_re5089333283451836215nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member5262025264175285858nt_int A) A4) (=> (@ (@ tptp.member5262025264175285858nt_int B) B5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R1))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R22))) (= (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.product_fst_int_int B)) (@ (@ Q2 (@ tptp.product_snd_int_int A)) (@ tptp.product_snd_int_int B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (P2 (-> tptp.nat tptp.ref_a Bool)) (Q2 (-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.produc7812382424243267045t_unit) (B5 tptp.set_Pr1133966238863718811t_unit)) (=> (@ (@ (@ (@ tptp.bNF_re5655699643857186083unit_o R1) (@ (@ tptp.bNF_re1850668159662942673it_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ (@ tptp.member7849944260330398460t_unit B) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R1))) (=> (@ (@ tptp.ord_le5525191956872776187t_unit B5) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R22))) (= (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.produc473321116828791851t_unit B)) (@ (@ Q2 (@ tptp.product_snd_nat_nat A)) (@ tptp.produc1126150082675451753t_unit B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (P2 (-> tptp.ref_a tptp.nat Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)) (A tptp.produc7812382424243267045t_unit) (A4 tptp.set_Pr1133966238863718811t_unit) (B tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ (@ tptp.bNF_re9202112420002600977_nat_o R1) (@ (@ tptp.bNF_re4705727531993890431at_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member7849944260330398460t_unit A) A4) (=> (@ (@ tptp.member8440522571783428010at_nat B) B5) (=> (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R1))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R22))) (= (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.product_fst_nat_nat B)) (@ (@ Q2 (@ tptp.produc1126150082675451753t_unit A)) (@ tptp.product_snd_nat_nat B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (R22 (-> tptp.int tptp.int Bool)) (P2 (-> tptp.ref_a tptp.int Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)) (A tptp.produc7812382424243267045t_unit) (A4 tptp.set_Pr1133966238863718811t_unit) (B tptp.product_prod_int_int) (B5 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ (@ (@ tptp.bNF_re5775369113877777_int_o R1) (@ (@ tptp.bNF_re5089333283451836215nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member7849944260330398460t_unit A) A4) (=> (@ (@ tptp.member5262025264175285858nt_int B) B5) (=> (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R1))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R22))) (= (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.product_fst_int_int B)) (@ (@ Q2 (@ tptp.produc1126150082675451753t_unit A)) (@ tptp.product_snd_int_int B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (P2 (-> tptp.int tptp.ref_a Bool)) (Q2 (-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)) (A tptp.product_prod_int_int) (A4 tptp.set_Pr958786334691620121nt_int) (B tptp.produc7812382424243267045t_unit) (B5 tptp.set_Pr1133966238863718811t_unit)) (=> (@ (@ (@ (@ tptp.bNF_re5404797796594736747unit_o R1) (@ (@ tptp.bNF_re1850668159662942673it_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member5262025264175285858nt_int A) A4) (=> (@ (@ tptp.member7849944260330398460t_unit B) B5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R1))) (=> (@ (@ tptp.ord_le5525191956872776187t_unit B5) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R22))) (= (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.produc473321116828791851t_unit B)) (@ (@ Q2 (@ tptp.product_snd_int_int A)) (@ tptp.produc1126150082675451753t_unit B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R22 (-> tptp.product_prod_nat_nat tptp.int Bool)) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.int tptp.int Bool)) (A tptp.produc4196048018000912732at_int) (A4 tptp.set_Pr49084382684228242at_int) (B tptp.produc4196048018000912732at_int) (B5 tptp.set_Pr49084382684228242at_int)) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o R1) (@ (@ tptp.bNF_re6644619430987730960nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8394280151737582451at_int A) A4) (=> (@ (@ tptp.member8394280151737582451at_int B) B5) (=> (@ (@ tptp.ord_le4604737605482584818at_int A4) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o R1))) (=> (@ (@ tptp.ord_le4604737605482584818at_int B5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o R22))) (= (@ (@ P2 (@ tptp.produc4619704898428564714at_int A)) (@ tptp.produc4619704898428564714at_int B)) (@ (@ Q2 (@ tptp.produc3064508320661873192at_int A)) (@ tptp.produc3064508320661873192at_int B))))))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (R22 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (P2 (-> tptp.ref_a tptp.ref_a Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)) (A tptp.produc7812382424243267045t_unit) (A4 tptp.set_Pr1133966238863718811t_unit) (B tptp.produc7812382424243267045t_unit) (B5 tptp.set_Pr1133966238863718811t_unit)) (=> (@ (@ (@ (@ tptp.bNF_re1366391616432607057unit_o R1) (@ (@ tptp.bNF_re1850668159662942673it_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member7849944260330398460t_unit A) A4) (=> (@ (@ tptp.member7849944260330398460t_unit B) B5) (=> (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R1))) (=> (@ (@ tptp.ord_le5525191956872776187t_unit B5) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R22))) (= (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.produc473321116828791851t_unit B)) (@ (@ Q2 (@ tptp.produc1126150082675451753t_unit A)) (@ tptp.produc1126150082675451753t_unit B))))))))))
% 3.35/4.35  (assert (forall ((Z2 Bool)) (= (@ (@ (@ tptp.comp_P2137996956111167876_o_o_o tptp.product_fst_o_o) (lambda ((X4 Bool)) (@ (@ tptp.product_Pair_o_o X4) X4))) Z2) (@ tptp.id_o Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.num)) (= (@ (@ (@ tptp.comp_P864883071962432936um_num tptp.product_fst_num_num) (lambda ((X4 tptp.num)) (@ (@ tptp.product_Pair_num_num X4) X4))) Z2) (@ tptp.id_num Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.comp_P8235817900121468292at_nat tptp.produc4486455499028916547at_nat) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat X4) X4))) Z2) (@ tptp.id_set7849613212452405432at_nat Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ (@ tptp.comp_P4528037747288561284at_nat tptp.produc6011863565407846595at_nat) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat X4) X4))) Z2) (@ tptp.id_set2334057505560298834at_nat Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.nat)) (= (@ (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_fst_nat_nat) (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat X4) X4))) Z2) (@ tptp.id_nat Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.int)) (= (@ (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_fst_int_int) (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int X4) X4))) Z2) (@ tptp.id_int Z2))))
% 3.35/4.35  (assert (forall ((Z2 Bool)) (= (@ (@ (@ tptp.comp_P2137996956111167876_o_o_o tptp.product_snd_o_o) (lambda ((X4 Bool)) (@ (@ tptp.product_Pair_o_o X4) X4))) Z2) (@ tptp.id_o Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.num)) (= (@ (@ (@ tptp.comp_P864883071962432936um_num tptp.product_snd_num_num) (lambda ((X4 tptp.num)) (@ (@ tptp.product_Pair_num_num X4) X4))) Z2) (@ tptp.id_num Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.comp_P8235817900121468292at_nat tptp.produc826222791318859909at_nat) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat X4) X4))) Z2) (@ tptp.id_set7849613212452405432at_nat Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ (@ tptp.comp_P4528037747288561284at_nat tptp.produc2937545259423399429at_nat) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat X4) X4))) Z2) (@ tptp.id_set2334057505560298834at_nat Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.nat)) (= (@ (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_snd_nat_nat) (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat X4) X4))) Z2) (@ tptp.id_nat Z2))))
% 3.35/4.35  (assert (forall ((Z2 tptp.int)) (= (@ (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_snd_int_int) (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int X4) X4))) Z2) (@ tptp.id_int Z2))))
% 3.35/4.35  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.produc3346328345660746739nteger)) (= (@ (@ tptp.produc4281629032016041417nteger (@ (@ tptp.comp_C8797469213163452608nteger F) G)) X2) (@ (@ F (@ G (@ tptp.produc1861665112190112313nteger X2))) (@ tptp.produc7955729907432593271nteger X2)))))
% 3.35/4.35  (assert (= tptp.lookup_a (lambda ((R5 tptp.ref_a)) (@ tptp.heap_tap_a (lambda ((H5 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.get_a H5) R5))))))
% 3.35/4.35  (assert (= tptp.produc4486455499028916547at_nat (@ (@ tptp.comp_P3728553842126764068at_nat tptp.produc826222791318859909at_nat) (@ tptp.produc5456455677105495163at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc6011863565407846595at_nat (@ (@ tptp.comp_P4974406650942564362at_nat tptp.produc2937545259423399429at_nat) (@ tptp.produc7548845685434208379at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat Y5) X4))))))
% 3.35/4.35  (assert (= tptp.product_fst_num_nat (@ (@ tptp.comp_P5051845089628979463um_nat tptp.product_snd_nat_num) (@ tptp.produc5219324331026901427at_num (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_num Y5) X4))))))
% 3.35/4.35  (assert (= tptp.product_fst_nat_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc473321116828791851t_unit (@ (@ tptp.comp_P1287623958910499840t_unit tptp.produc6369869760173755749_ref_a) (@ tptp.produc2058451029528183389_ref_a (lambda ((X4 tptp.ref_a) (Y5 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc2564672488694626579_ref_a Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc5717040794327095847_ref_a (@ (@ tptp.comp_P2006160480335490974_ref_a tptp.produc1126150082675451753t_unit) (@ tptp.produc4426278547552487717t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit) (Y5 tptp.ref_a)) (@ (@ tptp.produc6544324848051098391t_unit Y5) X4))))))
% 3.35/4.35  (assert (= tptp.product_fst_int_int (@ (@ tptp.comp_P5356232565778667509nt_int tptp.product_snd_int_int) (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc826222791318859909at_nat (@ (@ tptp.comp_P3728553842126764068at_nat tptp.produc4486455499028916547at_nat) (@ tptp.produc5456455677105495163at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc2937545259423399429at_nat (@ (@ tptp.comp_P4974406650942564362at_nat tptp.produc6011863565407846595at_nat) (@ tptp.produc7548845685434208379at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat Y5) X4))))))
% 3.35/4.35  (assert (= tptp.product_snd_num_nat (@ (@ tptp.comp_P8336958949797789649um_nat tptp.product_fst_nat_num) (@ tptp.produc5219324331026901427at_num (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_num Y5) X4))))))
% 3.35/4.35  (assert (= tptp.product_snd_nat_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_fst_nat_nat) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc6369869760173755749_ref_a (@ (@ tptp.comp_P7254561687666694144_ref_a tptp.produc473321116828791851t_unit) (@ tptp.produc4426278547552487717t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit) (Y5 tptp.ref_a)) (@ (@ tptp.produc6544324848051098391t_unit Y5) X4))))))
% 3.35/4.35  (assert (= tptp.produc1126150082675451753t_unit (@ (@ tptp.comp_P3239167524078694454t_unit tptp.produc5717040794327095847_ref_a) (@ tptp.produc2058451029528183389_ref_a (lambda ((X4 tptp.ref_a) (Y5 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc2564672488694626579_ref_a Y5) X4))))))
% 3.35/4.35  (assert (= tptp.product_snd_int_int (@ (@ tptp.comp_P5356232565778667509nt_int tptp.product_fst_int_int) (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int Y5) X4))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (X2 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite352855791390415404at_nat S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite5150387867909132486at_nat S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat)) (X2 Bool)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite2426395113773319005_o_nat S5) F) (=> (@ (@ tptp.member_o X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat)) (X2 tptp.nat)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite7982400111564556781at_nat S5) F) (=> (@ (@ tptp.member_nat X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))))
% 3.35/4.35  (assert (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat)) (X2 tptp.int)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite8981753823465611337nt_nat S5) F) (=> (@ (@ tptp.member_int X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.int))) (=> (= A4 B5) (= (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ tptp.bNF_Gr7275288873855648526at_nat A4) F))) (@ (@ tptp.bNF_Gr190934199572118623at_int A4) G)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ tptp.bNF_Gr7275288873855648526at_nat B5) F))) (@ (@ tptp.bNF_Gr190934199572118623at_int B5) G))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.code_integer))) (=> (= A4 B5) (= (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ tptp.bNF_Grp_int_int A4) F))) (@ (@ tptp.bNF_Gr6684649993275963353nteger A4) G)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ tptp.bNF_Grp_int_int B5) F))) (@ (@ tptp.bNF_Gr6684649993275963353nteger B5) G))))))
% 3.35/4.35  (assert (= (@ (@ tptp.comp_P9134237804721252988t_unit tptp.produc6942380573175061695_ref_a) (@ (@ tptp.comp_r6154141770783548544t_unit (lambda ((X4 tptp.ref_a)) (@ (@ tptp.produc1340070678782110931_ref_a X4) X4))) tptp.produc473321116828791851t_unit)) tptp.produc473321116828791851t_unit))
% 3.35/4.35  (assert (= (@ (@ tptp.comp_P8237986404257982958t_unit tptp.produc1692618790031806469t_unit) (@ (@ tptp.comp_h5940001671827863714t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc8256076736985659095t_unit X4) X4))) tptp.produc1126150082675451753t_unit)) tptp.produc1126150082675451753t_unit))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat tptp.nat)) (M1 (-> Bool tptp.nat)) (M2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_nat_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_nat_nat_nat F) M)) G) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o (@ (@ tptp.comp_nat_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int Bool)) (Abs (-> Bool tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d8403010662121346494_int_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat F) M)) G) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_o_nat_int (@ (@ tptp.comp_o_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_int_int (@ (@ tptp.comp_o_int_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat F) M)) G) (@ (@ tptp.comp_num_o_int (@ (@ tptp.comp_o_o_num (@ (@ tptp.comp_o_o_o F) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) M)) G) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) M)) G) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat F) M)) G) (@ (@ tptp.comp_o_num_int (@ (@ tptp.comp_o_num_o (@ (@ tptp.comp_o_num_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat F) M)) G) (@ (@ tptp.comp_num_num_int (@ (@ tptp.comp_o_num_num (@ (@ tptp.comp_o_num_o F) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat F) M)) G) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat (@ (@ tptp.comp_o_num_o F) M1)) Rep)) (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat F) M)) G) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o (@ (@ tptp.comp_o_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat F) M)) G) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) G)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int Bool)) (Abs (-> Bool tptp.int)) (Rep2 (-> tptp.nat Bool)) (Abs2 (-> Bool tptp.nat)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d8403010662121346494_int_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat Abs2) M)) Rep3) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_o_nat_int (@ (@ tptp.comp_o_nat_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_int_int (@ (@ tptp.comp_o_int_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (Rep2 (-> Bool Bool)) (Abs2 (-> Bool Bool)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_definition_o_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat Abs2) M)) Rep3) (@ (@ tptp.comp_num_o_int (@ (@ tptp.comp_o_o_num (@ (@ tptp.comp_o_o_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> Bool Bool)) (Abs2 (-> Bool Bool)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_definition_o_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs2) M)) Rep3) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (Rep2 (-> Bool Bool)) (Abs2 (-> Bool Bool)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_definition_o_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs2) M)) Rep3) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (Rep2 (-> tptp.num Bool)) (Abs2 (-> Bool tptp.num)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs2) M)) Rep3) (@ (@ tptp.comp_o_num_int (@ (@ tptp.comp_o_num_o (@ (@ tptp.comp_o_num_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (Rep2 (-> tptp.num Bool)) (Abs2 (-> Bool tptp.num)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs2) M)) Rep3) (@ (@ tptp.comp_num_num_int (@ (@ tptp.comp_o_num_num (@ (@ tptp.comp_o_num_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> tptp.num Bool)) (Abs2 (-> Bool tptp.num)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs2) M)) Rep3) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat (@ (@ tptp.comp_o_num_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (Rep2 (-> tptp.nat Bool)) (Abs2 (-> Bool tptp.nat)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs2) M)) Rep3) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o (@ (@ tptp.comp_o_nat_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> tptp.nat Bool)) (Abs2 (-> Bool tptp.nat)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs2) M)) Rep3) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> Bool tptp.char)) (Abs2 (-> tptp.char Bool)) (Rep3 (-> tptp.nat Bool)) (Abs3 (-> Bool tptp.nat)) (M (-> Bool tptp.char)) (M1 (-> Bool tptp.char)) (M2 (-> Bool Bool))) (let ((_let_1 (@ tptp.comp_char_o_o Abs2))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep2) Abs2) tptp.top_top_set_char) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep3) Abs3) tptp.top_top_set_o) (=> (= (@ (@ tptp.comp_o_o_nat (@ _let_1 M)) Rep3) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat (@ _let_1 M1)) Rep)) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_char_o M1) M2) M))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) (@ (@ tptp.relcom8141925468094106422ar_nat (@ tptp.conver5210974729819302706ar_nat (@ (@ tptp.bNF_Gr1779741795384719769ar_nat (@ tptp.collec1683818095804863890at_nat (lambda ((X4 (-> tptp.char tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat X4) tptp.top_top_set_char)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1491501995297412481t_char tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr1779741795384719769ar_nat (@ tptp.collec1683818095804863890at_nat (lambda ((X4 (-> tptp.char tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat X4) tptp.top_top_set_char)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1491501995297412481t_char tptp.product_snd_nat_nat))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re6557955094579809201at_nat (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) (@ (@ tptp.relcom7707146719550107439at_nat (@ tptp.conver7478146827351332082at_nat (@ (@ tptp.bNF_Gr7368557922277781849at_nat (@ tptp.collec2824469931397938891at_nat (lambda ((X4 (-> tptp.rat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat X4) tptp.top_top_set_rat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1320480151300532104at_rat tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr7368557922277781849at_nat (@ tptp.collec2824469931397938891at_nat (lambda ((X4 (-> tptp.rat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat X4) tptp.top_top_set_rat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1320480151300532104at_rat tptp.product_snd_nat_nat))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) (@ (@ tptp.relcom8186637903969514807at_nat (@ tptp.conver3498139987538047730at_nat (@ (@ tptp.bNF_Gr3388551082464497497at_nat (@ tptp.collec8718012497556192979at_nat (lambda ((X4 (-> tptp.nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat X4) tptp.top_top_set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1955610211387027840at_nat tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr3388551082464497497at_nat (@ tptp.collec8718012497556192979at_nat (lambda ((X4 (-> tptp.nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat X4) tptp.top_top_set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1955610211387027840at_nat tptp.product_snd_nat_nat))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.relcom2406850561174050523nt_nat (@ tptp.conver1572571282669976050nt_nat (@ (@ tptp.bNF_Gr1462982377596425817nt_nat (@ tptp.collec2532482545165550967at_nat (lambda ((X4 (-> tptp.int tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat X4) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1953119740877977564at_int tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr1462982377596425817nt_nat (@ tptp.collec2532482545165550967at_nat (lambda ((X4 (-> tptp.int tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat X4) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1953119740877977564at_int tptp.product_snd_nat_nat))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.num tptp.num Bool))) (= (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.relcom1697847500783689711nt_num (@ tptp.conver5699786650113435344nt_num (@ (@ tptp.bNF_Gr5590197745039885111nt_num (@ tptp.collec266097228571071243um_num (lambda ((X4 (-> tptp.int tptp.product_prod_num_num))) (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num X4) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o R3)))))) (@ tptp.comp_P4305060815297604026um_int tptp.product_fst_num_num)))) (@ (@ tptp.bNF_Gr5590197745039885111nt_num (@ tptp.collec266097228571071243um_num (lambda ((X4 (-> tptp.int tptp.product_prod_num_num))) (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num X4) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o R3)))))) (@ tptp.comp_P4305060815297604026um_int tptp.product_snd_num_num))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) (@ (@ tptp.relcom4417706183330134766ar_int (@ tptp.conver1155128050257070662ar_int (@ (@ tptp.bNF_Gr6947267152677263533ar_int (@ tptp.collec1380656525566158922nt_int (lambda ((X4 (-> tptp.char tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int X4) tptp.top_top_set_char)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P4161745170962941589t_char tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr6947267152677263533ar_int (@ tptp.collec1380656525566158922nt_int (lambda ((X4 (-> tptp.char tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int X4) tptp.top_top_set_char)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P4161745170962941589t_char tptp.product_snd_int_int))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re7554818335971813481nt_int (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) (@ (@ tptp.relcom2810802720173317863at_int (@ tptp.conver6967689361887734790at_int (@ (@ tptp.bNF_Gr6858100456814184557at_int (@ tptp.collec2521308361159233923nt_int (lambda ((X4 (-> tptp.rat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int X4) tptp.top_top_set_rat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6018825582104210588nt_rat tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr6858100456814184557at_int (@ tptp.collec2521308361159233923nt_int (lambda ((X4 (-> tptp.rat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int X4) tptp.top_top_set_rat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6018825582104210588nt_rat tptp.product_snd_int_int))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re6650684261131312217nt_int (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) (@ (@ tptp.relcom3290293904592725231at_int (@ tptp.conver2987682522074450438at_int (@ (@ tptp.bNF_Gr2878093617000900205at_int (@ tptp.collec8414850927317488011nt_int (lambda ((X4 (-> tptp.nat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int X4) tptp.top_top_set_nat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6653955642190706324nt_nat tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr2878093617000900205at_int (@ tptp.collec8414850927317488011nt_int (lambda ((X4 (-> tptp.nat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int X4) tptp.top_top_set_nat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6653955642190706324nt_nat tptp.product_snd_int_int))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re4712519889275205905nt_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.relcom6733878598652036755nt_int (@ tptp.conver1062113817206378758nt_int (@ (@ tptp.bNF_Gr952524912132828525nt_int (@ tptp.collec2229320974926845999nt_int (lambda ((X4 (-> tptp.int tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int X4) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6651465171681656048nt_int tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr952524912132828525nt_int (@ tptp.collec2229320974926845999nt_int (lambda ((X4 (-> tptp.int tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int X4) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6651465171681656048nt_int tptp.product_snd_int_int))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re4629543205785817921at_nat (lambda ((Y2 tptp.list_nat) (Z tptp.list_nat)) (= Y2 Z))) R3) (@ (@ tptp.relcom5920149085449455271at_nat (@ tptp.conver6066198818478722162at_nat (@ (@ tptp.bNF_Gr1532745923208276441at_nat (@ tptp.collec3092956710985254339at_nat (lambda ((X4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat X4) tptp.top_top_set_list_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P5292260908303971472st_nat tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr1532745923208276441at_nat (@ tptp.collec3092956710985254339at_nat (lambda ((X4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat X4) tptp.top_top_set_list_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P5292260908303971472st_nat tptp.product_snd_nat_nat))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_4408659257933336347et_rat _let_1) (@ tptp.pow_nat A4)) (@ tptp.pow_rat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_7916887816326733075et_nat _let_1) (@ tptp.pow_nat A4)) (@ tptp.pow_nat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_3739036796817536367et_int _let_1) (@ tptp.pow_nat A4)) (@ tptp.pow_int B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_4702325430467532143et_nat _let_1) (@ tptp.pow_int A4)) (@ tptp.pow_nat B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_524474410958335435et_int _let_1) (@ tptp.pow_int A4)) (@ tptp.pow_int B5))))))
% 3.35/4.35  (assert (= (@ (@ tptp.comp_P8237986404257982958t_unit tptp.produc2762368996035445955t_unit) (@ (@ tptp.comp_h5940001671827863714t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc8256076736985659095t_unit X4) X4))) tptp.produc1126150082675451753t_unit)) tptp.produc1126150082675451753t_unit))
% 3.35/4.35  (assert (= (@ (@ tptp.comp_P9134237804721252988t_unit tptp.produc8185483580310833921_ref_a) (@ (@ tptp.comp_r6154141770783548544t_unit (lambda ((X4 tptp.ref_a)) (@ (@ tptp.produc1340070678782110931_ref_a X4) X4))) tptp.produc473321116828791851t_unit)) tptp.produc473321116828791851t_unit))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Co726186806682698383nteger) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (= (@ (@ tptp.bNF_re1181178334029315097nteger (lambda ((Y2 tptp.code_integer) (Z tptp.code_integer)) (= Y2 Z))) (@ (@ tptp.bNF_Gr4092539093814444494nteger A4) F)) (@ (@ tptp.bNF_Gr1453458339979195462nteger (@ tptp.collec5651646645946169514nteger (lambda ((X4 (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger X4) tptp.top_to4645266643341252675nteger)) A4)))) (@ tptp.comp_C8797469213163452608nteger F)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool Bool))) (= (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_o_o A4) F)) (@ (@ tptp.bNF_Grp_nat_o_nat_o (@ tptp.collect_nat_o (lambda ((X4 (-> tptp.nat Bool))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o X4) tptp.top_top_set_nat)) A4)))) (@ tptp.comp_o_o_nat F)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_nat_nat A4) F)) (@ (@ tptp.bNF_Gr3847987472475283150at_nat (@ tptp.collect_nat_nat (lambda ((X4 (-> tptp.nat tptp.nat))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat X4) tptp.top_top_set_nat)) A4)))) (@ tptp.comp_nat_nat_nat F)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.num))) (= (@ (@ tptp.bNF_re272988434038980259at_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_nat_num A4) F)) (@ (@ tptp.bNF_Gr6763702254253555408nt_num (@ tptp.collect_int_nat (lambda ((X4 (-> tptp.int tptp.nat))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat X4) tptp.top_top_set_int)) A4)))) (@ tptp.comp_nat_num_int F)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (= (@ (@ tptp.bNF_re4715010359784256181nt_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_int_nat A4) F)) (@ (@ tptp.bNF_Gr2243168462153404386nt_nat (@ tptp.collect_int_int (lambda ((X4 (-> tptp.int tptp.int))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int X4) tptp.top_top_set_int)) A4)))) (@ tptp.comp_int_nat_int F)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_num) (F (-> tptp.num tptp.num))) (= (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_num_num A4) F)) (@ (@ tptp.bNF_Gr318824752125099290nt_num (@ tptp.collect_int_num (lambda ((X4 (-> tptp.int tptp.num))) (@ (@ tptp.ord_less_eq_set_num (@ (@ tptp.image_int_num X4) tptp.top_top_set_int)) A4)))) (@ tptp.comp_num_num_int F)))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_Gr193424670081168899at_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3))))) (= (@ (@ tptp.relcom8572034174491624592at_nat (@ tptp.conver4691796276509297820at_nat (@ _let_1 tptp.product_fst_nat_nat))) (@ _let_1 tptp.product_snd_nat_nat)) R3))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (let ((_let_1 (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R3)))) (= (@ (@ tptp.relcom3136146828236442456t_unit (@ tptp.conver4368408235330554745_ref_a (@ (@ tptp.bNF_Gr5964920315653434322_ref_a _let_1) tptp.produc473321116828791851t_unit))) (@ (@ tptp.bNF_Gr5237703264515865432t_unit _let_1) tptp.produc1126150082675451753t_unit)) R3))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.bNF_Gr2749509334501985047nt_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3))))) (= (@ (@ tptp.relcom3664783465810776136nt_int (@ tptp.conver7247880940930113968nt_int (@ _let_1 tptp.product_fst_int_int))) (@ _let_1 tptp.product_snd_int_int)) R3))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (S5 (-> tptp.char tptp.set_rat)) (M (-> Bool tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> Bool tptp.set_nat)) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.image_nat_rat F))) (let ((_let_2 (@ tptp.comp_char_set_rat_o S5))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ (@ tptp.comp_s8507027185284273247_rat_o _let_1) S6)) (= (@ (@ tptp.comp_o_set_rat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) M)) G)) (@ (@ tptp.comp_s8255929034757298889at_nat _let_1) (@ (@ tptp.comp_o_set_nat_nat S6) G)))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (S5 (-> tptp.char tptp.set_rat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c5738158305436223508at_nat S5) M) (@ (@ tptp.comp_s8255929034757298889at_nat _let_1) S6)) (= (@ (@ tptp.comp_num_set_rat_int (@ (@ tptp.comp_c2295490091592002142at_num S5) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) M)) G)) (@ (@ tptp.comp_s8253438564248248613at_int _let_1) (@ (@ tptp.comp_nat_set_nat_int S6) G))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_rat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_s8255929034757298889at_nat (@ tptp.image_nat_rat F)))) (let ((_let_2 (@ tptp.comp_c5738158305436223508at_nat S5))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_rat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_char_nat_nat Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_nat_set_nat_nat S6) G)))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_rat)) (M (-> tptp.int tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_s8253438564248248613at_int (@ tptp.image_nat_rat F)))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c5735667834927173232at_int S5) M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_rat_int (@ (@ tptp.comp_c5738158305436223508at_nat S5) Rep)) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_char_nat_int Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_int_set_nat_int S6) G))))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (S5 (-> tptp.char tptp.set_nat)) (M (-> Bool tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> Bool tptp.set_nat)) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ tptp.comp_char_set_nat_o S5))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ (@ tptp.comp_s33089643564333159_nat_o _let_1) S6)) (= (@ (@ tptp.comp_o_set_nat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) M)) G)) (@ (@ tptp.comp_s3433241188411525313at_nat _let_1) (@ (@ tptp.comp_o_set_nat_nat S6) G)))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (S5 (-> tptp.char tptp.set_nat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c915470459090449932at_nat S5) M) (@ (@ tptp.comp_s3433241188411525313at_nat _let_1) S6)) (= (@ (@ tptp.comp_num_set_nat_int (@ (@ tptp.comp_c6696174282101004374at_num S5) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) M)) G)) (@ (@ tptp.comp_s3430750717902475037at_int _let_1) (@ (@ tptp.comp_nat_set_nat_int S6) G))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_nat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_s3433241188411525313at_nat (@ tptp.image_nat_nat F)))) (let ((_let_2 (@ tptp.comp_c915470459090449932at_nat S5))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_nat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_char_nat_nat Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_nat_set_nat_nat S6) G)))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_nat)) (M (-> tptp.int tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_s3430750717902475037at_int (@ tptp.image_nat_nat F)))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c912979988581399656at_int S5) M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_nat_int (@ (@ tptp.comp_c915470459090449932at_nat S5) Rep)) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_char_nat_int Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_int_set_nat_int S6) G))))))))
% 3.35/4.35  (assert (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (S5 (-> tptp.char tptp.set_int)) (M (-> Bool tptp.char)) (F (-> tptp.nat tptp.int)) (S6 (-> Bool tptp.set_nat)) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ tptp.comp_char_set_int_o S5))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ (@ tptp.comp_s7011316712748663051_int_o _let_1) S6)) (= (@ (@ tptp.comp_o_set_int_nat (@ _let_2 Rep)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) M)) G)) (@ (@ tptp.comp_s5620162763104547101nt_nat _let_1) (@ (@ tptp.comp_o_set_nat_nat S6) G)))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (S5 (-> tptp.char tptp.set_int)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.int)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c3102392033783471720nt_nat S5) M) (@ (@ tptp.comp_s5620162763104547101nt_nat _let_1) S6)) (= (@ (@ tptp.comp_num_set_int_int (@ (@ tptp.comp_c8883095856794026162nt_num S5) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) M)) G)) (@ (@ tptp.comp_s5617672292595496825nt_int _let_1) (@ (@ tptp.comp_nat_set_nat_int S6) G))))))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (A4 tptp.set_rat)) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) A4) (= (@ (@ tptp.image_nat_rat Rep) tptp.top_top_set_nat) A4))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_nat Rep) tptp.top_top_set_nat) A4))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.int)) (Abs (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d6248003478268698410at_int Rep) Abs) A4) (= (@ (@ tptp.image_nat_int Rep) tptp.top_top_set_nat) A4))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) A4) (= (@ (@ tptp.image_int_nat Rep) tptp.top_top_set_int) A4))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.int)) (Abs (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d7247357190169752966nt_int Rep) Abs) A4) (= (@ (@ tptp.image_int_int Rep) tptp.top_top_set_int) A4))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) A4) (= (@ (@ tptp.image_Product_unit_o Rep) tptp.top_to1996260823553986621t_unit) A4))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.rat tptp.nat)) (Abs (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d5933939304842882774at_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_rat Abs) A4) tptp.top_top_set_rat))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_nat Abs) A4) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.nat tptp.int)) (Abs (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d6248003478268698410at_int Rep) Abs) A4) (= (@ (@ tptp.image_int_nat Abs) A4) tptp.top_top_set_nat))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_int Abs) A4) tptp.top_top_set_int))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.int tptp.int)) (Abs (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d7247357190169752966nt_int Rep) Abs) A4) (= (@ (@ tptp.image_int_int Abs) A4) tptp.top_top_set_int))))
% 3.35/4.35  (assert (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) A4) (= (@ (@ tptp.image_o_Product_unit Abs) A4) tptp.top_to1996260823553986621t_unit))))
% 3.35/4.35  (assert (= tptp.quotient_char_char (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.char)) (Rep4 (-> tptp.char tptp.char)) (T4 (-> tptp.char tptp.char Bool))) (let ((_let_1 (@ tptp.conversep_char_char T4))) (let ((_let_2 (@ tptp.bNF_Grp_char_char tptp.top_top_set_char))) (and (@ (@ tptp.ord_le2540245887939449860char_o T4) (@ _let_2 Abs4)) (@ (@ tptp.ord_le2540245887939449860char_o (@ _let_2 Rep4)) _let_1) (= R6 (@ (@ tptp.relcom5872928454965100966r_char T4) _let_1))))))))
% 3.35/4.35  (assert (= tptp.quotient_char_rat (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.rat)) (Rep4 (-> tptp.rat tptp.char)) (T4 (-> tptp.char tptp.rat Bool))) (let ((_let_1 (@ tptp.conversep_char_rat T4))) (and (@ (@ tptp.ord_le4891902658761385405_rat_o T4) (@ (@ tptp.bNF_Grp_char_rat tptp.top_top_set_char) Abs4)) (@ (@ tptp.ord_le6546876390139131069char_o (@ (@ tptp.bNF_Grp_rat_char tptp.top_top_set_rat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom3428143170894750637t_char T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_char_nat (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.nat)) (Rep4 (-> tptp.nat tptp.char)) (T4 (-> tptp.char tptp.nat Bool))) (let ((_let_1 (@ tptp.conversep_char_nat T4))) (and (@ (@ tptp.ord_le5641337153896221125_nat_o T4) (@ (@ tptp.bNF_Grp_char_nat tptp.top_top_set_char) Abs4)) (@ (@ tptp.ord_le4878496333587278021char_o (@ (@ tptp.bNF_Grp_nat_char tptp.top_top_set_nat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom6755291642603558309t_char T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_char_int (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.int)) (Rep4 (-> tptp.int tptp.char)) (T4 (-> tptp.char tptp.int Bool))) (let ((_let_1 (@ tptp.conversep_char_int T4))) (and (@ (@ tptp.ord_le3396192186225775209_int_o T4) (@ (@ tptp.bNF_Grp_char_int tptp.top_top_set_char) Abs4)) (@ (@ tptp.ord_le7608100903186094441char_o (@ (@ tptp.bNF_Grp_int_char tptp.top_top_set_int) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom750623199913152513t_char T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_rat_char (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.char)) (Rep4 (-> tptp.char tptp.rat)) (T4 (-> tptp.rat tptp.char Bool))) (let ((_let_1 (@ tptp.conversep_rat_char T4))) (and (@ (@ tptp.ord_le6546876390139131069char_o T4) (@ (@ tptp.bNF_Grp_rat_char tptp.top_top_set_rat) Abs4)) (@ (@ tptp.ord_le4891902658761385405_rat_o (@ (@ tptp.bNF_Grp_char_rat tptp.top_top_set_char) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom1505247221262953652ar_rat T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_rat_rat (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.rat)) (Rep4 (-> tptp.rat tptp.rat)) (T4 (-> tptp.rat tptp.rat Bool))) (let ((_let_1 (@ tptp.conversep_rat_rat T4))) (let ((_let_2 (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat))) (and (@ (@ tptp.ord_le4717968354871517046_rat_o T4) (@ _let_2 Abs4)) (@ (@ tptp.ord_le4717968354871517046_rat_o (@ _let_2 Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_rat_rat_rat T4) _let_1))))))))
% 3.35/4.35  (assert (= tptp.quotient_rat_nat (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.nat)) (Rep4 (-> tptp.nat tptp.rat)) (T4 (-> tptp.rat tptp.nat Bool))) (let ((_let_1 (@ tptp.conversep_rat_nat T4))) (and (@ (@ tptp.ord_le5467402850006352766_nat_o T4) (@ (@ tptp.bNF_Grp_rat_nat tptp.top_top_set_rat) Abs4)) (@ (@ tptp.ord_le1897120724991155070_rat_o (@ (@ tptp.bNF_Grp_nat_rat tptp.top_top_set_nat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_rat_nat_rat T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_rat_int (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.int)) (Rep4 (-> tptp.int tptp.rat)) (T4 (-> tptp.rat tptp.int Bool))) (let ((_let_1 (@ tptp.conversep_rat_int T4))) (and (@ (@ tptp.ord_le3222257882335906850_int_o T4) (@ (@ tptp.bNF_Grp_rat_int tptp.top_top_set_rat) Abs4)) (@ (@ tptp.ord_le8236914709048111138_rat_o (@ (@ tptp.bNF_Grp_int_rat tptp.top_top_set_int) Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_rat_int_rat T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_nat_char (lambda ((R6 (-> tptp.nat tptp.nat Bool)) (Abs4 (-> tptp.nat tptp.char)) (Rep4 (-> tptp.char tptp.nat)) (T4 (-> tptp.nat tptp.char Bool))) (let ((_let_1 (@ tptp.conversep_nat_char T4))) (and (@ (@ tptp.ord_le4878496333587278021char_o T4) (@ (@ tptp.bNF_Grp_nat_char tptp.top_top_set_nat) Abs4)) (@ (@ tptp.ord_le5641337153896221125_nat_o (@ (@ tptp.bNF_Grp_char_nat tptp.top_top_set_char) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom8112501251453913252ar_nat T4) _let_1)))))))
% 3.35/4.35  (assert (= tptp.quotient_nat_rat (lambda ((R6 (-> tptp.nat tptp.nat Bool)) (Abs4 (-> tptp.nat tptp.rat)) (Rep4 (-> tptp.rat tptp.nat)) (T4 (-> tptp.nat tptp.rat Bool))) (let ((_let_1 (@ tptp.conversep_nat_rat T4))) (and (@ (@ tptp.ord_le1897120724991155070_rat_o T4) (@ (@ tptp.bNF_Grp_nat_rat tptp.top_top_set_nat) Abs4)) (@ (@ tptp.ord_le5467402850006352766_nat_o (@ (@ tptp.bNF_Grp_rat_nat tptp.top_top_set_rat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_nat_rat_nat T4) _let_1)))))))
% 3.35/4.35  (assert (forall ((C Bool) (F (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat (lambda ((X4 Bool)) C)) F) (lambda ((X4 tptp.nat)) C))))
% 3.35/4.35  (assert (forall ((C tptp.num) (F (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int (lambda ((X4 tptp.nat)) C)) F) (lambda ((X4 tptp.int)) C))))
% 3.35/4.35  (assert (forall ((C tptp.nat) (F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat (lambda ((X4 tptp.nat)) C)) F) (lambda ((X4 tptp.nat)) C))))
% 3.35/4.35  (assert (forall ((C tptp.nat) (F (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_int_nat_int (lambda ((X4 tptp.int)) C)) F) (lambda ((X4 tptp.int)) C))))
% 3.35/4.35  (assert (forall ((C (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C8797469213163452608nteger (lambda ((X4 (-> tptp.code_integer tptp.code_integer)) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ C __flatten_var_0))) F) (lambda ((X4 tptp.code_integer) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ C __flatten_var_0)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_3755276878268593137at_nat (@ tptp.produc5347463441023893471at_nat (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_rat_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc140472662868866674at_nat (@ (@ tptp.image_nat_rat F) A4)) (lambda ((Uu tptp.rat)) (@ (@ tptp.image_int_nat G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_8800797895614172237at_int (@ tptp.produc1169612421514696763at_int (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_rat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc137982192359816398at_int (@ (@ tptp.image_nat_rat F) A4)) (lambda ((Uu tptp.rat)) (@ (@ tptp.image_int_int G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_9117352539549038149at_int (@ tptp.produc1486167065449562675at_int (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_nat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc454536836294682310at_int (@ (@ tptp.image_nat_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_int_int G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_5071185234104513605nt_nat (@ tptp.produc6663371796859813939nt_nat (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_nat_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_int_nat G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_3420722608207172081at_rat (@ tptp.produc877984105854340063at_rat (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_rat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc9045269283572012658at_rat (@ (@ tptp.image_int_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_nat_rat G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_2751100147091372101at_int (@ tptp.produc208361644738540083at_int (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int (@ (@ tptp.image_int_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_nat_int G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.image_1654017166447373545at_int (@ tptp.produc3246203729202673879at_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_nat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int (@ (@ tptp.image_int_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_int_int G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_4420076320108226637nt_rat (@ tptp.produc1877337817755394619nt_rat (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_int_rat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc821250958618291406nt_rat (@ (@ tptp.image_int_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_nat_rat G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_7928304878501623365nt_nat (@ tptp.produc5385566376148791347nt_nat (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_int_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_nat_nat G) B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.image_6831221897857624809nt_nat (@ tptp.produc8423408460612925143nt_nat (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_int_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_int_nat G) B5))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat)) (= (@ (@ tptp.ord_le5989899228261996553at_rat (@ (@ tptp.bNF_Gr_nat_rat A4) F)) (@ (@ tptp.produc9045269283572012658at_rat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_int)) (= (@ (@ tptp.ord_le656430383953171549at_int (@ (@ tptp.bNF_Gr_nat_int A4) F)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_le5333435103577920093nt_nat (@ (@ tptp.bNF_Gr_int_nat A4) F)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (= (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.bNF_Gr_int_int A4) F)) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.bNF_Gr_nat_nat A4) F)) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1133966238863718811t_unit)) (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ (@ tptp.produc3946373962484743846t_unit (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) A4)) (lambda ((Uu tptp.ref_a)) (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) A4))))))
% 3.35/4.35  (assert (= tptp.inv_im2903009620893676101at_nat (lambda ((R5 tptp.set_Pr7459493094073627847at_nat) (F2 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_im4437241714082187487at_nat (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_image_nat_nat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.nat tptp.nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_image_int_nat (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (F2 (-> tptp.nat tptp.int))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_im2900519150384625825at_int (lambda ((R5 tptp.set_Pr7459493094073627847at_nat) (F2 (-> tptp.int tptp.set_Pr4329608150637261639at_nat))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_im4434751243573137211at_int (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_image_nat_int (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.int tptp.nat))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (= tptp.inv_image_int_int (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (F2 (-> tptp.int tptp.int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F2 X4)) (@ F2 Y5))) R5)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (= (@ tptp.the_Pr5012129486825234846t_unit (@ tptp.produc4924168586796184916unit_o P2)) (@ tptp.the_Pr5012129486825234846t_unit (lambda ((Xy tptp.produc7812382424243267045t_unit)) (@ (@ P2 (@ tptp.produc473321116828791851t_unit Xy)) (@ tptp.produc1126150082675451753t_unit Xy)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int tptp.int Bool))) (= (@ tptp.the_Pr4378521158711661632nt_int (@ tptp.produc4947309494688390418_int_o P2)) (@ tptp.the_Pr4378521158711661632nt_int (lambda ((Xy tptp.product_prod_int_int)) (@ (@ P2 (@ tptp.product_fst_int_int Xy)) (@ tptp.product_snd_int_int Xy)))))))
% 3.35/4.35  (assert (forall ((T3 (-> tptp.int tptp.product_prod_nat_nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.left_t8261381459436684205at_nat T3) (=> (@ (@ tptp.ord_le5604493270027003598_nat_o (lambda ((Y2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (= Y2 Z))) R3) (@ (@ tptp.ord_le6741204236512500942_int_o (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.relcom1106208330880909712at_int T3) (@ (@ tptp.relcom8911704206367525917at_int R3) (@ tptp.conver1866313717161370910at_nat T3))))))))
% 3.35/4.35  (assert (forall ((T3 (-> tptp.code_integer tptp.int Bool)) (R3 (-> tptp.int tptp.int Bool))) (=> (@ tptp.left_t1735413524555719857er_int T3) (=> (@ (@ tptp.ord_le6741204236512500942_int_o (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.ord_le3602516367967493612eger_o (lambda ((Y2 tptp.code_integer) (Z tptp.code_integer)) (= Y2 Z))) (@ (@ tptp.relcom692387321444912665nteger T3) (@ (@ tptp.relcom967497705283160040nteger R3) (@ tptp.conver1462408618118490240er_int T3))))))))
% 3.35/4.35  (assert (forall ((T3 (-> tptp.int tptp.product_prod_nat_nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.left_u1182257597767569412at_nat T3) (=> (@ (@ tptp.ord_le5604493270027003598_nat_o R3) (lambda ((Y2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (= Y2 Z))) (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcom1106208330880909712at_int T3) (@ (@ tptp.relcom8911704206367525917at_int R3) (@ tptp.conver1866313717161370910at_nat T3)))) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)))))))
% 3.35/4.35  (assert (forall ((T3 (-> tptp.code_integer tptp.int Bool)) (R3 (-> tptp.int tptp.int Bool))) (=> (@ tptp.left_u6156896403773009178er_int T3) (=> (@ (@ tptp.ord_le6741204236512500942_int_o R3) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.ord_le3602516367967493612eger_o (@ (@ tptp.relcom692387321444912665nteger T3) (@ (@ tptp.relcom967497705283160040nteger R3) (@ tptp.conver1462408618118490240er_int T3)))) (lambda ((Y2 tptp.code_integer) (Z tptp.code_integer)) (= Y2 Z)))))))
% 3.35/4.35  (assert (forall ((A Bool) (B Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (= (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.product_Sigma_o_o A4) B5)) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_o B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A Bool) (B tptp.nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (= (@ (@ tptp.member2802428098988154798_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_nat B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A Bool) (B tptp.int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int))) (= (@ (@ tptp.member7847949116333733898_o_int (@ (@ tptp.product_Pair_o_int A) B)) (@ (@ tptp.product_Sigma_o_int A4) B5)) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_int B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B Bool) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (= (@ (@ tptp.member6310962623043647828_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_o B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int))) (= (@ (@ tptp.member4262671552274231302at_int (@ (@ tptp.product_Pair_nat_int A) B)) (@ (@ tptp.produc454536836294682310at_int A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_int B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B Bool) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (= (@ (@ tptp.member4489920277610959864_int_o (@ (@ tptp.product_Pair_int_o A) B)) (@ (@ tptp.product_Sigma_int_o A4) B5)) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_o B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.nat) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (= (@ (@ tptp.member216504246829706758nt_nat (@ (@ tptp.product_Pair_int_nat A) B)) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_nat B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_num B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_int B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_nat B) (@ B5 A))))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B Bool) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member_o A) A4) (=> (@ (@ tptp.member_o B) (@ B5 A)) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.product_Sigma_o_o A4) B5))))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o A) A4) (=> (@ (@ tptp.member_nat B) (@ B5 A)) (@ (@ tptp.member2802428098988154798_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.product_Sigma_o_nat A4) B5))))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B tptp.int) (B5 (-> Bool tptp.set_int))) (=> (@ (@ tptp.member_o A) A4) (=> (@ (@ tptp.member_int B) (@ B5 A)) (@ (@ tptp.member7847949116333733898_o_int (@ (@ tptp.product_Pair_o_int A) B)) (@ (@ tptp.product_Sigma_o_int A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_o B) (@ B5 A)) (@ (@ tptp.member6310962623043647828_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.product_Sigma_nat_o A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.int) (B5 (-> tptp.nat tptp.set_int))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_int B) (@ B5 A)) (@ (@ tptp.member4262671552274231302at_int (@ (@ tptp.product_Pair_nat_int A) B)) (@ (@ tptp.produc454536836294682310at_int A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B Bool) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member_int A) A4) (=> (@ (@ tptp.member_o B) (@ B5 A)) (@ (@ tptp.member4489920277610959864_int_o (@ (@ tptp.product_Pair_int_o A) B)) (@ (@ tptp.product_Sigma_int_o A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int A) A4) (=> (@ (@ tptp.member_nat B) (@ B5 A)) (@ (@ tptp.member216504246829706758nt_nat (@ (@ tptp.product_Pair_int_nat A) B)) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.num) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_num B) (@ B5 A)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member_int A) A4) (=> (@ (@ tptp.member_int B) (@ B5 A)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_nat B) (@ B5 A)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5))))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.inv_image_nat_nat R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (R tptp.set_Pr958786334691620121nt_int) (F (-> tptp.nat tptp.int))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.inv_image_int_nat R) F)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Y3 tptp.int) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.int tptp.nat))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.inv_image_nat_int R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Y3 tptp.int) (R tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.inv_image_int_int R) F)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.nat))) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.inv_im6750873321330482877at_nat R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr958786334691620121nt_int) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.int))) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.inv_im8510909985083594081at_nat R) F)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (R tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.inv_im4437241714082187487at_nat R) F)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Y3 tptp.int) (R tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.inv_im4434751243573137211at_int R) F)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.inv_im7023619800666061458at_nat R) F)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.nat))) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.inv_im2354225701593503139at_nat R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o (lambda ((A5 tptp.product_prod_nat_nat) (B4 tptp.product_prod_nat_nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc2761391749766926216at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ tptp.collec3392354462482085612at_nat Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.nat Bool))) (= (@ tptp.collec7029190964493513045at_nat (@ tptp.produc8758269395934548017_nat_o (lambda ((A5 tptp.product_prod_nat_nat) (B4 tptp.nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc7672662199629908489at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ tptp.collect_nat Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.collec6785001409445536906nt_int (@ tptp.produc5031841752791441652_int_o (lambda ((A5 tptp.product_prod_nat_nat) (B4 tptp.product_prod_int_int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc8806266479013559872nt_int (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ tptp.collec213857154873943460nt_int Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec5903703980526211963at_nat (@ tptp.produc5864757623865647827_nat_o (lambda ((A5 tptp.nat) (B4 tptp.product_prod_nat_nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc1809337555817847783at_nat (@ tptp.collect_nat P2)) (lambda ((Uu tptp.nat)) (@ tptp.collec3392354462482085612at_nat Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.collec5600542410287506995nt_int (@ tptp.produc4306188689235752475_int_o (lambda ((A5 tptp.nat) (B4 tptp.product_prod_int_int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc7854212285064481439nt_int (@ tptp.collect_nat P2)) (lambda ((Uu tptp.nat)) (@ tptp.collec213857154873943460nt_int Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7751116662793354522at_nat (@ tptp.produc3235059054576640100_nat_o (lambda ((A5 tptp.product_prod_int_int) (B4 tptp.product_prod_nat_nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc3424345432876038864at_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((Uu tptp.product_prod_int_int)) (@ tptp.collec3392354462482085612at_nat Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.nat Bool))) (= (@ tptp.collec364394062568603661nt_nat (@ tptp.produc5441891513209881465_nat_o (lambda ((A5 tptp.product_prod_int_int) (B4 tptp.nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc1007865297704999105nt_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((Uu tptp.product_prod_int_int)) (@ tptp.collect_nat Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.collec7447955092554649554nt_int (@ tptp.produc1676490119946744748_int_o (lambda ((A5 tptp.product_prod_int_int) (B4 tptp.product_prod_int_int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc245848125267896712nt_int (@ tptp.collec213857154873943460nt_int P2)) (lambda ((Uu tptp.product_prod_int_int)) (@ tptp.collec213857154873943460nt_int Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat Bool))) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat P2)) (lambda ((Uu tptp.nat)) (@ tptp.collect_nat Q2))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int Bool)) (Q2 (-> tptp.int Bool))) (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc1453890548195736866nt_int (@ tptp.collect_int P2)) (lambda ((Uu tptp.int)) (@ tptp.collect_int Q2))))))
% 3.35/4.35  (assert (= (@ (@ tptp.produc2936396906406871148r_char tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_char)) tptp.top_to1235241553633177651r_char))
% 3.35/4.35  (assert (= (@ (@ tptp.produc1204236661673008499ar_rat tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_rat)) tptp.top_to8437673547576850234ar_rat))
% 3.35/4.35  (assert (= (@ (@ tptp.produc1839366721759504235ar_nat tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_nat)) tptp.top_to5594287848199751986ar_nat))
% 3.35/4.35  (assert (= (@ (@ tptp.produc1836876251250453959ar_int tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_int)) tptp.top_to3104204703268025230ar_int))
% 3.35/4.35  (assert (= (@ (@ tptp.produc1427039474575272051t_char tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_char)) tptp.top_to3221206985699244474t_char))
% 3.35/4.35  (assert (= (@ (@ tptp.produc8728714639637146746at_rat tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_rat)) tptp.top_to3112507417142880193at_rat))
% 3.35/4.35  (assert (= (@ (@ tptp.produc140472662868866674at_nat tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_nat)) tptp.top_to269121717765781945at_nat))
% 3.35/4.35  (assert (= (@ (@ tptp.produc137982192359816398at_int tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_int)) tptp.top_to7002410609688830997at_int))
% 3.35/4.35  (assert (= (@ (@ tptp.produc4754187946284079723t_char tptp.top_top_set_nat) (lambda ((Uu tptp.nat)) tptp.top_top_set_char)) tptp.top_to7107842681480589234t_char))
% 3.35/4.35  (assert (= (@ (@ tptp.produc9045269283572012658at_rat tptp.top_top_set_nat) (lambda ((Uu tptp.nat)) tptp.top_top_set_rat)) tptp.top_to7513191607651882425at_rat))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.the_Pr4877703158196064750at_nat (@ tptp.produc9020218426428501292_nat_o (lambda ((X7 tptp.set_Pr4329608150637261639at_nat) (Y6 tptp.set_Pr4329608150637261639at_nat)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.produc9060074326276436823at_nat X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.the_Pr4604535484834969198at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((X7 tptp.set_Pr1261947904930325089at_nat) (Y6 tptp.set_Pr1261947904930325089at_nat)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.produc2922128104949294807at_nat X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.the_Pr8265262403268641490at_num (@ tptp.produc4927758841916487424_num_o (lambda ((X7 tptp.nat) (Y6 tptp.num)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.product_Pair_nat_num X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.the_Pr7557018466319803784at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X7 tptp.nat) (Y6 tptp.nat)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.product_Pair_nat_nat X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.the_Pr4378521158711661632nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X7 tptp.int) (Y6 tptp.int)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.product_Pair_int_int X2) Y3))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.member_nat X2) C3) (= (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))) (= A4 B5)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ (@ tptp.produc457027306803732586at_nat A4) C3) (@ (@ tptp.produc457027306803732586at_nat B5) D))))))
% 3.35/4.35  (assert (forall ((A Bool) (B Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.product_Sigma_o_o A4) B5)) (not (=> (@ (@ tptp.member_o A) A4) (not (@ (@ tptp.member_o B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A Bool) (B tptp.nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member2802428098988154798_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (not (=> (@ (@ tptp.member_o A) A4) (not (@ (@ tptp.member_nat B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A Bool) (B tptp.int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int))) (=> (@ (@ tptp.member7847949116333733898_o_int (@ (@ tptp.product_Pair_o_int A) B)) (@ (@ tptp.product_Sigma_o_int A4) B5)) (not (=> (@ (@ tptp.member_o A) A4) (not (@ (@ tptp.member_int B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B Bool) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member6310962623043647828_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_o B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int))) (=> (@ (@ tptp.member4262671552274231302at_int (@ (@ tptp.product_Pair_nat_int A) B)) (@ (@ tptp.produc454536836294682310at_int A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_int B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B Bool) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member4489920277610959864_int_o (@ (@ tptp.product_Pair_int_o A) B)) (@ (@ tptp.product_Sigma_int_o A4) B5)) (not (=> (@ (@ tptp.member_int A) A4) (not (@ (@ tptp.member_o B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.nat) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member216504246829706758nt_nat (@ (@ tptp.product_Pair_int_nat A) B)) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (not (=> (@ (@ tptp.member_int A) A4) (not (@ (@ tptp.member_nat B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_num B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (not (=> (@ (@ tptp.member_int A) A4) (not (@ (@ tptp.member_int B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_nat B) (@ B5 A))))))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (B5 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ tptp.produc6258361011560675592at_nat A4) B5)) (@ (@ tptp.member6273874620674182256at_nat B) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ tptp.produc7726050920695093128at_nat A4) B5)) (@ (@ tptp.member2643936169264416010at_nat B) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (@ (@ tptp.member_num B) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (@ (@ tptp.member_int B) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ (@ tptp.member_nat B) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (B5 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ tptp.produc6258361011560675592at_nat A4) B5)) (@ (@ tptp.member6273874620674182256at_nat A) A4))))
% 3.35/4.35  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ tptp.produc7726050920695093128at_nat A4) B5)) (@ (@ tptp.member2643936169264416010at_nat A) A4))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (@ (@ tptp.member_nat A) A4))))
% 3.35/4.35  (assert (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (@ (@ tptp.member_int A) A4))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ (@ tptp.member_nat A) A4))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_o_o) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member7466972457876170832od_o_o C) (@ (@ tptp.product_Sigma_o_o A4) B5)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_o_o X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_o_nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member2802428098988154798_o_nat C) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_o_nat X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_o_int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int))) (=> (@ (@ tptp.member7847949116333733898_o_int C) (@ (@ tptp.product_Sigma_o_int A4) B5)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_o_int X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_nat_o) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member6310962623043647828_nat_o C) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_o X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_nat_int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int))) (=> (@ (@ tptp.member4262671552274231302at_int C) (@ (@ tptp.produc454536836294682310at_int A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_int X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_int_o) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member4489920277610959864_int_o C) (@ (@ tptp.product_Sigma_int_o A4) B5)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_int_o X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_int_nat) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member216504246829706758nt_nat C) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_int_nat X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_nat_num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y tptp.num)) (=> (@ (@ tptp.member_num Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_num X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_int_int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_int_int X) Y)))))))))))
% 3.35/4.35  (assert (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_nat X) Y)))))))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc2761391749766926216at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.collec3392354462482085612at_nat (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.nat Bool))) (= (@ tptp.collec7029190964493513045at_nat (@ tptp.produc8758269395934548017_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc7672662199629908489at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.collect_nat (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool))) (= (@ tptp.collec6785001409445536906nt_int (@ tptp.produc5031841752791441652_int_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_int_int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc8806266479013559872nt_int (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.collec213857154873943460nt_int (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec5903703980526211963at_nat (@ tptp.produc5864757623865647827_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.product_prod_nat_nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc1809337555817847783at_nat (@ tptp.collect_nat P2)) (lambda ((X4 tptp.nat)) (@ tptp.collec3392354462482085612at_nat (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat tptp.product_prod_int_int Bool))) (= (@ tptp.collec5600542410287506995nt_int (@ tptp.produc4306188689235752475_int_o (lambda ((X4 tptp.nat) (Y5 tptp.product_prod_int_int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc7854212285064481439nt_int (@ tptp.collect_nat P2)) (lambda ((X4 tptp.nat)) (@ tptp.collec213857154873943460nt_int (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7751116662793354522at_nat (@ tptp.produc3235059054576640100_nat_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.product_prod_nat_nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc3424345432876038864at_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.collec3392354462482085612at_nat (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int tptp.nat Bool))) (= (@ tptp.collec364394062568603661nt_nat (@ tptp.produc5441891513209881465_nat_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc1007865297704999105nt_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.collect_nat (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int tptp.product_prod_int_int Bool))) (= (@ tptp.collec7447955092554649554nt_int (@ tptp.produc1676490119946744748_int_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.product_prod_int_int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc245848125267896712nt_int (@ tptp.collec213857154873943460nt_int P2)) (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.collec213857154873943460nt_int (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat P2)) (lambda ((X4 tptp.nat)) (@ tptp.collect_nat (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc1453890548195736866nt_int (@ tptp.collect_int P2)) (lambda ((X4 tptp.int)) (@ tptp.collect_int (@ Q2 X4)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C3 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) (@ D X)))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ (@ tptp.produc457027306803732586at_nat C3) D))))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.member_nat X2) C3) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.ord_less_eq_set_nat A4) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_o_o) (A4 tptp.set_o) (B5 tptp.set_o)) (= (@ (@ tptp.member7466972457876170832od_o_o X2) (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) B5))) (and (@ (@ tptp.member_o (@ tptp.product_fst_o_o X2)) A4) (@ (@ tptp.member_o (@ tptp.product_snd_o_o X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_o_nat) (A4 tptp.set_o) (B5 tptp.set_nat)) (= (@ (@ tptp.member2802428098988154798_o_nat X2) (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) B5))) (and (@ (@ tptp.member_o (@ tptp.product_fst_o_nat X2)) A4) (@ (@ tptp.member_nat (@ tptp.product_snd_o_nat X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_o_int) (A4 tptp.set_o) (B5 tptp.set_int)) (= (@ (@ tptp.member7847949116333733898_o_int X2) (@ (@ tptp.product_Sigma_o_int A4) (lambda ((Uu Bool)) B5))) (and (@ (@ tptp.member_o (@ tptp.product_fst_o_int X2)) A4) (@ (@ tptp.member_int (@ tptp.product_snd_o_int X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_o) (A4 tptp.set_nat) (B5 tptp.set_o)) (= (@ (@ tptp.member6310962623043647828_nat_o X2) (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) B5))) (and (@ (@ tptp.member_nat (@ tptp.product_fst_nat_o X2)) A4) (@ (@ tptp.member_o (@ tptp.product_snd_nat_o X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_int) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.member4262671552274231302at_int X2) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (and (@ (@ tptp.member_nat (@ tptp.product_fst_nat_int X2)) A4) (@ (@ tptp.member_int (@ tptp.product_snd_nat_int X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_int_o) (A4 tptp.set_int) (B5 tptp.set_o)) (= (@ (@ tptp.member4489920277610959864_int_o X2) (@ (@ tptp.product_Sigma_int_o A4) (lambda ((Uu tptp.int)) B5))) (and (@ (@ tptp.member_int (@ tptp.product_fst_int_o X2)) A4) (@ (@ tptp.member_o (@ tptp.product_snd_int_o X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_int_nat) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.member216504246829706758nt_nat X2) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (and (@ (@ tptp.member_int (@ tptp.product_fst_int_nat X2)) A4) (@ (@ tptp.member_nat (@ tptp.product_snd_int_nat X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_int_int) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.member5262025264175285858nt_int X2) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (and (@ (@ tptp.member_int (@ tptp.product_fst_int_int X2)) A4) (@ (@ tptp.member_int (@ tptp.product_snd_int_int X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.member8440522571783428010at_nat X2) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (and (@ (@ tptp.member_nat (@ tptp.product_fst_nat_nat X2)) A4) (@ (@ tptp.member_nat (@ tptp.product_snd_nat_nat X2)) B5)))))
% 3.35/4.35  (assert (forall ((X2 tptp.produc652263959640188542_nat_o) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_o)) (= (@ (@ tptp.member2200362271989506215_nat_o X2) (@ (@ tptp.produc203973861852599583_nat_o A4) (lambda ((Uu tptp.product_prod_nat_nat)) B5))) (and (@ (@ tptp.member8440522571783428010at_nat (@ tptp.produc6435950281062462810_nat_o X2)) A4) (@ (@ tptp.member_o (@ tptp.produc668916169454083228_nat_o X2)) B5)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.image_5168914502847457605at_nat tptp.product_swap_nat_nat) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) A4)))))
% 3.35/4.35  (assert (forall ((R1 (-> Bool Bool Bool)) (Abs1 (-> Bool Bool)) (Rep1 (-> Bool Bool)) (T1 (-> Bool Bool Bool)) (R22 (-> Bool Bool Bool)) (Abs22 (-> Bool tptp.nat)) (Rep22 (-> tptp.nat Bool)) (T22 (-> Bool tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.quotient_o_o R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_o_nat R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_o_nat (@ (@ tptp.relcompp_o_o_o T1) (@ (@ tptp.relcompp_o_o_o R22) (@ tptp.conversep_o_o T1)))) (@ (@ tptp.comp_o_nat_o Abs22) Abs1)) (@ (@ tptp.comp_o_o_nat Rep1) Rep22)) (@ (@ tptp.relcompp_o_o_nat T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.num tptp.num Bool)) (Abs1 (-> tptp.num tptp.nat)) (Rep1 (-> tptp.nat tptp.num)) (T1 (-> tptp.num tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (Abs22 (-> tptp.nat tptp.int)) (Rep22 (-> tptp.int tptp.nat)) (T22 (-> tptp.nat tptp.int Bool))) (=> (@ (@ (@ (@ tptp.quotient_num_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_nat_int R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_num_int (@ (@ tptp.relcompp_num_nat_num T1) (@ (@ tptp.relcompp_nat_nat_num R22) (@ tptp.conversep_num_nat T1)))) (@ (@ tptp.comp_nat_int_num Abs22) Abs1)) (@ (@ tptp.comp_nat_num_int Rep1) Rep22)) (@ (@ tptp.relcompp_num_nat_int T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool)) (Abs1 (-> tptp.nat tptp.int)) (Rep1 (-> tptp.int tptp.nat)) (T1 (-> tptp.nat tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (Abs22 (-> tptp.int tptp.int)) (Rep22 (-> tptp.int tptp.int)) (T22 (-> tptp.int tptp.int Bool))) (=> (@ (@ (@ (@ tptp.quotient_nat_int R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_int_int R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_nat_int (@ (@ tptp.relcompp_nat_int_nat T1) (@ (@ tptp.relcompp_int_int_nat R22) (@ tptp.conversep_nat_int T1)))) (@ (@ tptp.comp_int_int_nat Abs22) Abs1)) (@ (@ tptp.comp_int_nat_int Rep1) Rep22)) (@ (@ tptp.relcompp_nat_int_int T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool)) (Abs1 (-> tptp.nat Bool)) (Rep1 (-> Bool tptp.nat)) (T1 (-> tptp.nat Bool Bool)) (R22 (-> Bool Bool Bool)) (Abs22 (-> Bool Bool)) (Rep22 (-> Bool Bool)) (T22 (-> Bool Bool Bool))) (=> (@ (@ (@ (@ tptp.quotient_nat_o R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_o_o R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_nat_o (@ (@ tptp.relcompp_nat_o_nat T1) (@ (@ tptp.relcompp_o_o_nat R22) (@ tptp.conversep_nat_o T1)))) (@ (@ tptp.comp_o_o_nat Abs22) Abs1)) (@ (@ tptp.comp_o_nat_o Rep1) Rep22)) (@ (@ tptp.relcompp_nat_o_o T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.int tptp.int Bool)) (Abs1 (-> tptp.int tptp.nat)) (Rep1 (-> tptp.nat tptp.int)) (T1 (-> tptp.int tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (Abs22 (-> tptp.nat tptp.num)) (Rep22 (-> tptp.num tptp.nat)) (T22 (-> tptp.nat tptp.num Bool))) (=> (@ (@ (@ (@ tptp.quotient_int_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_nat_num R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_int_num (@ (@ tptp.relcompp_int_nat_int T1) (@ (@ tptp.relcompp_nat_nat_int R22) (@ tptp.conversep_int_nat T1)))) (@ (@ tptp.comp_nat_num_int Abs22) Abs1)) (@ (@ tptp.comp_nat_int_num Rep1) Rep22)) (@ (@ tptp.relcompp_int_nat_num T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.nat tptp.nat Bool)) (Abs1 (-> tptp.nat tptp.nat)) (Rep1 (-> tptp.nat tptp.nat)) (T1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (Abs22 (-> tptp.nat tptp.nat)) (Rep22 (-> tptp.nat tptp.nat)) (T22 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.relcompp_nat_nat_nat T1))) (=> (@ (@ (@ (@ tptp.quotient_nat_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_nat_nat R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_nat_nat (@ _let_1 (@ (@ tptp.relcompp_nat_nat_nat R22) (@ tptp.conversep_nat_nat T1)))) (@ (@ tptp.comp_nat_nat_nat Abs22) Abs1)) (@ (@ tptp.comp_nat_nat_nat Rep1) Rep22)) (@ _let_1 T22)))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.int tptp.int Bool)) (Abs1 (-> tptp.int tptp.int)) (Rep1 (-> tptp.int tptp.int)) (T1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (Abs22 (-> tptp.int tptp.nat)) (Rep22 (-> tptp.nat tptp.int)) (T22 (-> tptp.int tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.quotient_int_int R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_int_nat R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_int_nat (@ (@ tptp.relcompp_int_int_int T1) (@ (@ tptp.relcompp_int_int_int R22) (@ tptp.conversep_int_int T1)))) (@ (@ tptp.comp_int_nat_int Abs22) Abs1)) (@ (@ tptp.comp_int_int_nat Rep1) Rep22)) (@ (@ tptp.relcompp_int_int_nat T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.int tptp.int Bool)) (Abs1 (-> tptp.int tptp.int)) (Rep1 (-> tptp.int tptp.int)) (T1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (Abs22 (-> tptp.int tptp.code_integer)) (Rep22 (-> tptp.code_integer tptp.int)) (T22 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ (@ (@ tptp.quotient_int_int R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotie2291698863146621601nteger R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotie2291698863146621601nteger (@ (@ tptp.relcompp_int_int_int T1) (@ (@ tptp.relcompp_int_int_int R22) (@ tptp.conversep_int_int T1)))) (@ (@ tptp.comp_i1585864551200866970er_int Abs22) Abs1)) (@ (@ tptp.comp_i2224564030725804698nteger Rep1) Rep22)) (@ (@ tptp.relcom967497705283160040nteger T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Abs1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Rep1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (T1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R22 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Abs22 (-> tptp.product_prod_nat_nat tptp.int)) (Rep22 (-> tptp.int tptp.product_prod_nat_nat)) (T22 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ (@ (@ tptp.quotie4166942682936818134at_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotie1194848508323700631at_int R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotie1194848508323700631at_int (@ (@ tptp.relcom282571730187242960at_nat T1) (@ (@ tptp.relcom282571730187242960at_nat R22) (@ tptp.conver6965824823119931701at_nat T1)))) (@ (@ tptp.comp_P4605287290794827253at_nat Abs22) Abs1)) (@ (@ tptp.comp_P7428279379633703887at_int Rep1) Rep22)) (@ (@ tptp.relcom8911704206367525917at_int T1) T22))))))
% 3.35/4.35  (assert (forall ((R1 (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool)) (Abs1 (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer tptp.code_integer)) (Rep1 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (T1 (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) Bool)) (R22 (-> (-> tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) Bool)) (Abs22 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer)) (Rep22 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (T22 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer Bool))) (=> (@ (@ (@ (@ tptp.quotie8207154290130328982nteger R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotie9062115205763428814nteger R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotie8803226531959296410nteger (@ (@ tptp.relcom458776940982682326nteger T1) (@ (@ tptp.relcom1820845089908643850nteger R22) (@ tptp.conver3229387634306789365nteger T1)))) (@ (@ tptp.comp_C7826480081638475456nteger Abs22) Abs1)) (@ (@ tptp.comp_C8797469213163452608nteger Rep1) Rep22)) (@ (@ tptp.relcom4829277440228594702nteger T1) T22))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (B5 tptp.set_se5479201105039950375at_nat)) (= (@ (@ tptp.image_3313167189156628421at_nat (@ tptp.produc5456455677105495163at_nat (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (J tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat J) I2)))) (@ (@ tptp.produc6258361011560675592at_nat A4) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) B5))) (@ (@ tptp.produc6258361011560675592at_nat B5) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.image_960689587819713477at_nat (@ tptp.produc7548845685434208379at_nat (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat J) I2)))) (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) B5))) (@ (@ tptp.produc7726050920695093128at_nat B5) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_num) (B5 tptp.set_nat)) (= (@ (@ tptp.image_7762062833379733445at_num (@ tptp.produc5219324331026901427at_num (lambda ((I2 tptp.num) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_num J) I2)))) (@ (@ tptp.produc7810729746965977780um_nat A4) (lambda ((Uu tptp.num)) B5))) (@ (@ tptp.produc6237731129814287028at_num B5) (lambda ((Uu tptp.nat)) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.image_5168914502847457605at_nat (@ tptp.produc2626176000494625587at_nat (lambda ((I2 tptp.nat) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_nat J) I2)))) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.image_2653370878348428101nt_int (@ tptp.produc4245557441103728435nt_int (lambda ((I2 tptp.int) (J tptp.int)) (@ (@ tptp.product_Pair_int_int J) I2)))) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1453890548195736866nt_int B5) (lambda ((Uu tptp.int)) A4)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (A7 tptp.set_rat) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (B7 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_rat F) A4) A7) (=> (= (@ (@ tptp.image_int_nat G) B5) B7) (= (@ (@ tptp.image_3755276878268593137at_nat (@ (@ tptp.produc8749313216793205150nt_nat F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc140472662868866674at_nat A7) (lambda ((Uu tptp.rat)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (A7 tptp.set_rat) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_rat F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_8800797895614172237at_int (@ (@ tptp.produc8746822746284154874nt_int F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc137982192359816398at_int A7) (lambda ((Uu tptp.rat)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (A7 tptp.set_nat) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_nat F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_9117352539549038149at_int (@ (@ tptp.produc7974749936722635250nt_int F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc454536836294682310at_int A7) (lambda ((Uu tptp.nat)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (A7 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (B7 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_int F) A4) A7) (=> (= (@ (@ tptp.image_int_nat G) B5) B7) (= (@ (@ tptp.image_5071185234104513605nt_nat (@ (@ tptp.produc8348893967468530162nt_nat F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat A7) (lambda ((Uu tptp.int)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (A7 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_int F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_893334214595316897nt_int (@ (@ tptp.produc8346403496959479886nt_int F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc1453890548195736866nt_int A7) (lambda ((Uu tptp.int)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A7 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (B7 tptp.set_rat)) (=> (= (@ (@ tptp.image_int_nat F) A4) A7) (=> (= (@ (@ tptp.image_nat_rat G) B5) B7) (= (@ (@ tptp.image_3420722608207172081at_rat (@ (@ tptp.produc4032938703151184286at_rat F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc9045269283572012658at_rat A7) (lambda ((Uu tptp.nat)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A7 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_int_nat F) A4) A7) (=> (= (@ (@ tptp.image_nat_int G) B5) B7) (= (@ (@ tptp.image_2751100147091372101at_int (@ (@ tptp.produc4665578292728629746at_int F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int A7) (lambda ((Uu tptp.nat)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A7 tptp.set_nat) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_int_nat F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_1654017166447373545at_int (@ (@ tptp.produc5664932004629684302nt_int F) G)) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int A7) (lambda ((Uu tptp.nat)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (A7 tptp.set_int) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (B7 tptp.set_rat)) (=> (= (@ (@ tptp.image_int_int F) A4) A7) (=> (= (@ (@ tptp.image_nat_rat G) B5) B7) (= (@ (@ tptp.image_4420076320108226637nt_rat (@ (@ tptp.produc4404592263388028922at_rat F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc821250958618291406nt_rat A7) (lambda ((Uu tptp.int)) B7)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (A7 tptp.set_int) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (B7 tptp.set_nat)) (=> (= (@ (@ tptp.image_int_int F) A4) A7) (=> (= (@ (@ tptp.image_nat_nat G) B5) B7) (= (@ (@ tptp.image_7928304878501623365nt_nat (@ (@ tptp.produc5039722323474524658at_nat F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat A7) (lambda ((Uu tptp.int)) B7)))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_t5646938096895998950at_nat R3) (=> (@ tptp.left_t1861001511420785031at_int S5) (@ tptp.left_t1861001511420785031at_int (@ (@ tptp.relcom8911704206367525917at_int R3) S5))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_total_int_int R3) (=> (@ tptp.left_t2374113004080657585nteger S5) (@ tptp.left_t2374113004080657585nteger (@ (@ tptp.relcom967497705283160040nteger R3) S5))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.left_u4005249686606446046at_int S5) (@ tptp.left_u4005249686606446046at_int (@ (@ tptp.relcom8911704206367525917at_int R3) S5))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.left_u6795595883297946906nteger S5) (@ tptp.left_u6795595883297946906nteger (@ (@ tptp.relcom967497705283160040nteger R3) S5))))))
% 3.35/4.35  (assert (= tptp.produc929334515565554804at_nat (lambda ((A6 tptp.set_nat) (B6 tptp.set_nat)) (@ (@ tptp.produc457027306803732586at_nat A6) (lambda ((Uu tptp.nat)) B6)))))
% 3.35/4.35  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (let ((_let_1 (@ tptp.member8757157785044589968at_nat X2))) (= (@ _let_1 (@ (@ tptp.produc3241716407206042770at_nat A4) B5)) (@ _let_1 (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) B5)))))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat X2))) (= (@ _let_1 (@ (@ tptp.produc929334515565554804at_nat A4) B5)) (@ _let_1 (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6121607364029222536t_unit A4))) (let ((_let_2 (@ tptp.image_262127665112854123t_unit tptp.produc6786084904866402309t_unit))) (let ((_let_3 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.produc4996980317674386579unit_o A4))) (let ((_let_2 (@ tptp.image_1801747192096393899it_o_o tptp.produc7461459235754980752unit_o))) (let ((_let_3 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.produc6875377002296012693it_nat A4))) (let ((_let_2 (@ tptp.image_6725568594985674851at_nat tptp.produc996414825743149016it_nat))) (let ((_let_3 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc411009820408249917t_unit A4))) (let ((_let_2 (@ tptp.image_4419268941131634678t_unit tptp.produc2875488738488844090t_unit))) (let ((_let_3 (= A4 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_o A4))) (let ((_let_2 (@ tptp.image_7896445794123959606_o_o_o tptp.product_snd_o_o))) (let ((_let_3 (= A4 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.product_Sigma_o_nat A4))) (let ((_let_2 (@ tptp.image_4888532181312399726at_nat tptp.product_snd_o_nat))) (let ((_let_3 (= A4 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc5506539147108004339t_unit A4))) (let ((_let_2 (@ tptp.image_5511522805742971924t_unit tptp.produc8850949007409916470t_unit))) (let ((_let_3 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_nat_o A4))) (let ((_let_2 (@ tptp.image_7478392465989118804at_o_o tptp.product_snd_nat_o))) (let ((_let_3 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.produc457027306803732586at_nat A4))) (let ((_let_2 (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat))) (let ((_let_3 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_ref_a) (B5 tptp.set_he8644174446132254637t_unit)) (let ((_let_1 (@ tptp.produc3946373962484743846t_unit A4))) (let ((_let_2 (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit))) (let ((_let_3 (= A4 tptp.bot_bot_set_ref_a))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) tptp.bot_bo3686245532977126937t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) B5))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6121607364029222536t_unit A4))) (let ((_let_2 (@ tptp.image_262127665112854123t_unit tptp.produc6963936691090040003t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Product_unit) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.produc411009820408249917t_unit A4))) (let ((_let_2 (@ tptp.image_8742399529945250561unit_o tptp.produc5219655352205527288t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Product_unit) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.produc5506539147108004339t_unit A4))) (let ((_let_2 (@ tptp.image_3884712837920099081it_nat tptp.produc3800628931346975736t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc4996980317674386579unit_o A4))) (let ((_let_2 (@ tptp.image_4246157487713968288t_unit tptp.produc582253812616888142unit_o))) (let ((_let_3 (= B5 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_o A4))) (let ((_let_2 (@ tptp.image_7896445794123959606_o_o_o tptp.product_fst_o_o))) (let ((_let_3 (= B5 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.product_Sigma_nat_o A4))) (let ((_let_2 (@ tptp.image_8629803608462650132_o_nat tptp.product_fst_nat_o))) (let ((_let_3 (= B5 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6875377002296012693it_nat A4))) (let ((_let_2 (@ tptp.image_7474191388529947450t_unit tptp.produc5169466786534984090it_nat))) (let ((_let_3 (= B5 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_nat A4))) (let ((_let_2 (@ tptp.image_8105710389281276538_nat_o tptp.product_fst_o_nat))) (let ((_let_3 (= B5 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.produc457027306803732586at_nat A4))) (let ((_let_2 (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat))) (let ((_let_3 (= B5 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_he8644174446132254637t_unit) (A4 tptp.set_ref_a)) (let ((_let_1 (@ tptp.produc3946373962484743846t_unit A4))) (let ((_let_2 (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3686245532977126937t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) tptp.bot_bot_set_ref_a)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) A4))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (= (@ (@ tptp.image_int_int F) A4) tptp.bot_bot_set_int) (= A4 tptp.bot_bot_set_int))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_nat_rat F) A4) tptp.bot_bot_set_rat) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_nat_int F) A4) tptp.bot_bot_set_int) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (= (= (@ (@ tptp.image_405062704495631173t_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (= (= (@ (@ tptp.image_o_Product_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_8730104196221521654t_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_Product_unit)) (= (= (@ (@ tptp.image_Product_unit_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o)) (= (= (@ (@ tptp.image_o_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_nat_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (= (@ (@ tptp.image_int_nat F) A4) tptp.bot_bot_set_nat) (= A4 tptp.bot_bot_set_int))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (= tptp.bot_bot_set_int (@ (@ tptp.image_int_int F) A4)) (= A4 tptp.bot_bot_set_int))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (= tptp.bot_bot_set_rat (@ (@ tptp.image_nat_rat F) A4)) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (= tptp.bot_bot_set_int (@ (@ tptp.image_nat_int F) A4)) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (= (= tptp.bot_bo3957492148770167129t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4)) (= A4 tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (= (= tptp.bot_bo3957492148770167129t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (= A4 tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (= (= tptp.bot_bo3957492148770167129t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_Product_unit)) (= (= tptp.bot_bot_set_o (@ (@ tptp.image_Product_unit_o F) A4)) (= A4 tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o)) (= (= tptp.bot_bot_set_o (@ (@ tptp.image_o_o F) A4)) (= A4 tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (= tptp.bot_bot_set_o (@ (@ tptp.image_nat_o F) A4)) (= A4 tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (= tptp.bot_bot_set_nat (@ (@ tptp.image_int_nat F) A4)) (= A4 tptp.bot_bot_set_int))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int))) (= (@ (@ tptp.image_int_int F) tptp.bot_bot_set_int) tptp.bot_bot_set_int)))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat))) (= (@ (@ tptp.image_int_nat F) tptp.bot_bot_set_int) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.product_unit))) (= (@ (@ tptp.image_405062704495631173t_unit F) tptp.bot_bo3957492148770167129t_unit) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit Bool))) (= (@ (@ tptp.image_Product_unit_o F) tptp.bot_bo3957492148770167129t_unit) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.nat))) (= (@ (@ tptp.image_875570014554754200it_nat F) tptp.bot_bo3957492148770167129t_unit) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.product_unit))) (= (@ (@ tptp.image_o_Product_unit F) tptp.bot_bot_set_o) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((F (-> Bool Bool))) (= (@ (@ tptp.image_o_o F) tptp.bot_bot_set_o) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.nat))) (= (@ (@ tptp.image_o_nat F) tptp.bot_bot_set_o) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat))) (= (@ (@ tptp.image_nat_rat F) tptp.bot_bot_set_nat) tptp.bot_bot_set_rat)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int))) (= (@ (@ tptp.image_nat_int F) tptp.bot_bot_set_nat) tptp.bot_bot_set_int)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (= (@ (@ tptp.produc7726050920695093128at_nat tptp.bot_bo3083307316010499117at_nat) B5) tptp.bot_bo228742789529271731at_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat tptp.bot_bot_set_nat) B5) tptp.bot_bo2099793752762293965at_nat)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) tptp.bot_bo3083307316010499117at_nat)) tptp.bot_bo228742789529271731at_nat)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) tptp.bot_bot_set_nat)) tptp.bot_bo2099793752762293965at_nat)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Product_unit)) (= (= (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo1654022762305692595t_unit) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_o)) (= (= (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo3195362268743713342unit_o) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_o)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_nat)) (= (= (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo2472676621365177558it_nat) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_nat)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_Product_unit)) (= (= (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) B5)) tptp.bot_bo4402188677660116584t_unit) (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) B5)) tptp.bot_bo7073875226086086771od_o_o) (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_o)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_nat)) (= (= (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) B5)) tptp.bot_bo66526543525301729_o_nat) (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_nat)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_Product_unit)) (= (= (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) B5)) tptp.bot_bo5043309098482578556t_unit) (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) B5)) tptp.bot_bo1114129665703605383_nat_o) (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_o)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (= (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)) tptp.bot_bo2099793752762293965at_nat) (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_nat)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc3904733337175673596at_nat A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo6659885642593197735at_nat) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo2099793752762293965at_nat)))))
% 3.35/4.35  (assert (forall ((P2 Bool)) (and (=> P2 (= (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) P2))) tptp.top_to6833984726390702231at_nat)) (=> (not P2) (= (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) P2))) tptp.bot_bo228742789529271731at_nat)))))
% 3.35/4.35  (assert (forall ((P2 Bool)) (and (=> P2 (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) P2))) tptp.top_to4669805908274784177at_nat)) (=> (not P2) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) P2))) tptp.bot_bo2099793752762293965at_nat)))))
% 3.35/4.35  (assert (forall ((P2 Bool)) (and (=> P2 (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) P2))) tptp.top_to4366644338036079209nt_int)) (=> (not P2) (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) P2))) tptp.bot_bo1796632182523588997nt_int)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_se7855581050983116737at_nat) (X5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (= (= (@ (@ tptp.produc7726050920695093128at_nat I3) X5) tptp.bot_bo228742789529271731at_nat) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) I3) (= (@ X5 X4) tptp.bot_bo3083307316010499117at_nat))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (X5 (-> tptp.nat tptp.set_nat))) (= (= (@ (@ tptp.produc457027306803732586at_nat I3) X5) tptp.bot_bo2099793752762293965at_nat) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ X5 X4) tptp.bot_bot_set_nat))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int)) (=> (forall ((X tptp.int)) (not (@ (@ tptp.member_int X) A4))) (@ (@ tptp.ord_less_eq_set_int A4) tptp.bot_bot_set_int))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit)) (=> (forall ((X tptp.product_unit)) (not (@ (@ tptp.member_Product_unit X) A4))) (@ (@ tptp.ord_le3507040750410214029t_unit A4) tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (not (@ (@ tptp.member8757157785044589968at_nat X) A4))) (@ (@ tptp.ord_le1268244103169919719at_nat A4) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.product_prod_nat_nat)) (not (@ (@ tptp.member8440522571783428010at_nat X) A4))) (@ (@ tptp.ord_le3146513528884898305at_nat A4) tptp.bot_bo2099793752762293965at_nat))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o)) (=> (forall ((X Bool)) (not (@ (@ tptp.member_o X) A4))) (@ (@ tptp.ord_less_eq_set_o A4) tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (=> (forall ((X tptp.nat)) (not (@ (@ tptp.member_nat X) A4))) (@ (@ tptp.ord_less_eq_set_nat A4) tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (=> (= A4 tptp.bot_bo228742789529271731at_nat) (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (= A4 tptp.bot_bo2099793752762293965at_nat) (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (C3 tptp.set_Product_unit) (D tptp.set_Product_unit)) (= (= (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc6121607364029222536t_unit C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo3957492148770167129t_unit)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_o) (C3 tptp.set_Product_unit) (D tptp.set_o)) (= (= (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc4996980317674386579unit_o C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_o)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bot_set_o)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_nat) (C3 tptp.set_Product_unit) (D tptp.set_nat)) (= (= (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc6875377002296012693it_nat C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_nat)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bot_set_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_Product_unit) (C3 tptp.set_o) (D tptp.set_Product_unit)) (= (= (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) B5)) (@ (@ tptp.produc411009820408249917t_unit C3) (lambda ((Uu Bool)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bo3957492148770167129t_unit)) (or (= C3 tptp.bot_bot_set_o) (= D tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 tptp.set_o) (D tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) B5)) (@ (@ tptp.product_Sigma_o_o C3) (lambda ((Uu Bool)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_o)) (or (= C3 tptp.bot_bot_set_o) (= D tptp.bot_bot_set_o)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_nat) (C3 tptp.set_o) (D tptp.set_nat)) (= (= (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) B5)) (@ (@ tptp.product_Sigma_o_nat C3) (lambda ((Uu Bool)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_nat)) (or (= C3 tptp.bot_bot_set_o) (= D tptp.bot_bot_set_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_Product_unit) (C3 tptp.set_nat) (D tptp.set_Product_unit)) (= (= (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) B5)) (@ (@ tptp.produc5506539147108004339t_unit C3) (lambda ((Uu tptp.nat)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bo3957492148770167129t_unit)) (or (= C3 tptp.bot_bot_set_nat) (= D tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_o) (C3 tptp.set_nat) (D tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) B5)) (@ (@ tptp.product_Sigma_nat_o C3) (lambda ((Uu tptp.nat)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_o)) (or (= C3 tptp.bot_bot_set_nat) (= D tptp.bot_bot_set_o)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat) (D tptp.set_nat)) (= (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)) (@ (@ tptp.produc457027306803732586at_nat C3) (lambda ((Uu tptp.nat)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_nat)) (or (= C3 tptp.bot_bot_set_nat) (= D tptp.bot_bot_set_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_Product_unit) (D tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc3904733337175673596at_nat A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc3904733337175673596at_nat C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo2099793752762293965at_nat)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bo2099793752762293965at_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (D tptp.set_Product_unit)) (= (@ (@ tptp.ord_le930853871177014503t_unit (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc6121607364029222536t_unit B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bo3957492148770167129t_unit) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_le3507040750410214029t_unit C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_o) (B5 tptp.set_Product_unit) (D tptp.set_o)) (= (@ (@ tptp.ord_le8534741403851954546unit_o (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc4996980317674386579unit_o B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bot_set_o) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_less_eq_set_o C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_nat) (B5 tptp.set_Product_unit) (D tptp.set_nat)) (= (@ (@ tptp.ord_le8121013740822022818it_nat (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc6875377002296012693it_nat B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bot_set_nat) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_less_eq_set_nat C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C3 tptp.set_Product_unit) (B5 tptp.set_o) (D tptp.set_Product_unit)) (= (@ (@ tptp.ord_le518195775913581980t_unit (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) C3))) (@ (@ tptp.produc411009820408249917t_unit B5) (lambda ((Uu Bool)) D))) (or (= A4 tptp.bot_bot_set_o) (= C3 tptp.bot_bo3957492148770167129t_unit) (and (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.ord_le3507040750410214029t_unit C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C3 tptp.set_o) (B5 tptp.set_o) (D tptp.set_o)) (= (@ (@ tptp.ord_le192195778054999463od_o_o (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) C3))) (@ (@ tptp.product_Sigma_o_o B5) (lambda ((Uu Bool)) D))) (or (= A4 tptp.bot_bot_set_o) (= C3 tptp.bot_bot_set_o) (and (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.ord_less_eq_set_o C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C3 tptp.set_nat) (B5 tptp.set_o) (D tptp.set_nat)) (= (@ (@ tptp.ord_le6472378536984071597_o_nat (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) C3))) (@ (@ tptp.product_Sigma_o_nat B5) (lambda ((Uu Bool)) D))) (or (= A4 tptp.bot_bot_set_o) (= C3 tptp.bot_bot_set_nat) (and (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.ord_less_eq_set_nat C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C3 tptp.set_Product_unit) (B5 tptp.set_nat) (D tptp.set_Product_unit)) (= (@ (@ tptp.ord_le1468274181084648008t_unit (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc5506539147108004339t_unit B5) (lambda ((Uu tptp.nat)) D))) (or (= A4 tptp.bot_bot_set_nat) (= C3 tptp.bot_bo3957492148770167129t_unit) (and (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_le3507040750410214029t_unit C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C3 tptp.set_o) (B5 tptp.set_nat) (D tptp.set_o)) (= (@ (@ tptp.ord_le7519981659162375251_nat_o (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.product_Sigma_nat_o B5) (lambda ((Uu tptp.nat)) D))) (or (= A4 tptp.bot_bot_set_nat) (= C3 tptp.bot_bot_set_o) (and (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_o C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C3 tptp.set_nat) (B5 tptp.set_nat) (D tptp.set_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) D))) (or (= A4 tptp.bot_bot_set_nat) (= C3 tptp.bot_bot_set_nat) (and (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_nat C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Product_unit) (D tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le8681960759543468507at_nat (@ (@ tptp.produc3904733337175673596at_nat A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc3904733337175673596at_nat B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bo2099793752762293965at_nat) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_le3146513528884898305at_nat C3) D))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Product_unit))) (= (@ (@ tptp.image_8742399529945250561unit_o tptp.produc5219655352205527288t_unit) (@ (@ tptp.produc411009820408249917t_unit A4) B5)) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (not (= (@ B5 X4) tptp.bot_bo3957492148770167129t_unit))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Product_unit))) (= (@ (@ tptp.image_7716461468295075337it_int tptp.produc917050878549155996t_unit) (@ (@ tptp.produc2622961094310184599t_unit A4) B5)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (not (= (@ B5 X4) tptp.bot_bo3957492148770167129t_unit))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_Product_unit))) (= (@ (@ tptp.image_3884712837920099081it_nat tptp.produc3800628931346975736t_unit) (@ (@ tptp.produc5506539147108004339t_unit A4) B5)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (not (= (@ B5 X4) tptp.bot_bo3957492148770167129t_unit))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (= (@ (@ tptp.image_7896445794123959606_o_o_o tptp.product_fst_o_o) (@ (@ tptp.product_Sigma_o_o A4) B5)) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_o))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (= (@ (@ tptp.image_90517134139374612_o_int tptp.product_fst_int_o) (@ (@ tptp.product_Sigma_int_o A4) B5)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_o))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (= (@ (@ tptp.image_8629803608462650132_o_nat tptp.product_fst_nat_o) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_o))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (= (@ (@ tptp.image_8105710389281276538_nat_o tptp.product_fst_o_nat) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_nat))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (= (@ (@ tptp.image_2855239504505064772at_int tptp.product_fst_int_nat) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_nat))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_nat))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_ref_a) (B5 (-> tptp.ref_a tptp.set_he8644174446132254637t_unit))) (= (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) (@ (@ tptp.produc3946373962484743846t_unit A4) B5)) (@ tptp.collect_ref_a (lambda ((X4 tptp.ref_a)) (and (@ (@ tptp.member_ref_a X4) A4) (not (= (@ B5 X4) tptp.bot_bo3686245532977126937t_unit))))))))
% 3.35/4.35  (assert (forall ((P2 tptp.produc1319942482725812455at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.fun_re2478310338295953701at_nat P2) (@ tptp.fun_re2478310338295953701at_nat (@ (@ tptp.fun_rp8445993449185644698at_nat P2) F)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (X2 tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_nat (@ (@ tptp.image_int_nat F) A4)) (@ F X2))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (X2 tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_int (@ (@ tptp.image_int_int F) A4)) (@ F X2))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_rat (@ (@ tptp.image_nat_rat F) A4)) (@ F X2))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_nat (@ (@ tptp.image_nat_nat F) A4)) (@ F X2))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (X2 tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_int (@ (@ tptp.image_nat_int F) A4)) (@ F X2))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_ref_a) (B5 (-> tptp.ref_a tptp.set_he8644174446132254637t_unit))) (= (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) (@ (@ tptp.produc3946373962484743846t_unit A4) B5)) (@ tptp.comple6989579708249578522t_unit (@ (@ tptp.image_5570573867351727369t_unit B5) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_unit)) (= (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Uu tptp.char)) X2)) tptp.top_top_set_char) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((X2 Bool)) (= (@ (@ tptp.image_char_o (lambda ((Uu tptp.char)) X2)) tptp.top_top_set_char) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat)) (= (@ (@ tptp.image_char_nat (lambda ((Uu tptp.char)) X2)) tptp.top_top_set_char) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_unit)) (= (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Uu tptp.rat)) X2)) tptp.top_top_set_rat) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((X2 Bool)) (= (@ (@ tptp.image_rat_o (lambda ((Uu tptp.rat)) X2)) tptp.top_top_set_rat) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat)) (= (@ (@ tptp.image_rat_nat (lambda ((Uu tptp.rat)) X2)) tptp.top_top_set_rat) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))))
% 3.35/4.35  (assert (forall ((X2 tptp.rat)) (= (@ (@ tptp.image_nat_rat (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_rat X2) tptp.bot_bot_set_rat))))
% 3.35/4.35  (assert (forall ((X2 tptp.int)) (= (@ (@ tptp.image_nat_int (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_unit)) (= (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit))))
% 3.35/4.35  (assert (forall ((X2 Bool)) (= (@ (@ tptp.image_nat_o (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (R7 (-> tptp.code_integer tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_u6795595883297946906nteger R3) (=> (@ tptp.right_7281159819619925802nteger R3) (=> (@ tptp.right_5866438497372881682nteger R7) (=> (@ tptp.left_t2884206969071330nteger R7) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom8320293257703906841nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1848932251921554756er_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re40212662316476751um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (R7 (-> tptp.code_integer tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_u6795595883297946906nteger R3) (=> (@ tptp.right_7281159819619925802nteger R3) (=> (@ tptp.right_7836862732553076961er_int R7) (=> (@ tptp.left_t1735413524555719857er_int R7) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcom328798225758222312er_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom7779292856395800339nt_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re8313794964846168862um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcompp_int_int_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re7626690874201225453um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1533066287727470739er_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re6718328864250387230um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (@ (@ tptp.ord_le7522433683449569238eger_o (@ (@ tptp.bNF_re3379532845092657523nteger (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom7212586982944386682nteger (@ (@ tptp.bNF_re4712519889275205905nt_int R3) S5)) (@ (@ tptp.bNF_re3379532845092657523nteger R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R7 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.left_u4005249686606446046at_int R3) (=> (@ tptp.right_1157779049177982926at_int R3) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom2949942408940504938nt_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom4272412204205018633nt_nat (@ (@ tptp.bNF_re4555766996558763186at_nat R3) S5)) (@ (@ tptp.bNF_re3715656647883201625at_nat R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.right_4094035864313884895at_nat R3) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom531901107642208332nt_nat (@ (@ tptp.bNF_re8246922863344978751at_nat R3) S5)) (@ (@ tptp.bNF_re4555766996558763186at_nat R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.right_4094035864313884895at_nat R3) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (@ (@ tptp.ord_le6141271677531915726eger_o (@ (@ tptp.bNF_re6202762543029211035nteger (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom4574826104943343961nteger (@ (@ tptp.bNF_re20414067882207223nt_int R3) S5)) (@ (@ tptp.bNF_re6202762543029211035nteger R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (@ (@ tptp.ord_le8615040745438789472_int_o (@ (@ tptp.bNF_re2828929484557863493at_int (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom2127790875031262553er_int (@ (@ tptp.bNF_re8766404587435608311at_nat R3) S5)) (@ (@ tptp.bNF_re2828929484557863493at_int R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.right_4094035864313884895at_nat R3) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ tptp.bNF_re7400052026677387805at_int (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom4982215633375716084nt_int (@ (@ tptp.bNF_re2241393799969408733at_nat R3) S5)) (@ (@ tptp.bNF_re7400052026677387805at_int R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.code_integer tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_5866438497372881682nteger R7) (=> (@ tptp.left_t2884206969071330nteger R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom8320293257703906841nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1848932251921554756er_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re40212662316476751um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.code_integer tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_7836862732553076961er_int R7) (=> (@ tptp.left_t1735413524555719857er_int R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcom328798225758222312er_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom7779292856395800339nt_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re8313794964846168862um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcompp_int_int_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re7626690874201225453um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1533066287727470739er_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re6718328864250387230um_num R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.int tptp.code_integer Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.int Bool))) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (=> (@ tptp.left_u6795595883297946906nteger S6) (=> (@ tptp.right_7281159819619925802nteger S6) (@ (@ tptp.ord_le7522433683449569238eger_o (@ (@ tptp.bNF_re3379532845092657523nteger (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom7212586982944386682nteger (@ (@ tptp.bNF_re4712519889275205905nt_int R3) S5)) (@ (@ tptp.bNF_re3379532845092657523nteger R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (=> (@ tptp.left_unique_nat_nat S6) (=> (@ tptp.right_total_nat_nat S6) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom2949942408940504938nt_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom4272412204205018633nt_nat (@ (@ tptp.bNF_re4555766996558763186at_nat R3) S5)) (@ (@ tptp.bNF_re3715656647883201625at_nat R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (=> (@ tptp.left_unique_nat_nat S6) (=> (@ tptp.right_total_nat_nat S6) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom531901107642208332nt_nat (@ (@ tptp.bNF_re8246922863344978751at_nat R3) S5)) (@ (@ tptp.bNF_re4555766996558763186at_nat R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.int tptp.int Bool))) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (=> (@ tptp.left_u6795595883297946906nteger S6) (=> (@ tptp.right_7281159819619925802nteger S6) (@ (@ tptp.ord_le6141271677531915726eger_o (@ (@ tptp.bNF_re6202762543029211035nteger (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom4574826104943343961nteger (@ (@ tptp.bNF_re20414067882207223nt_int R3) S5)) (@ (@ tptp.bNF_re6202762543029211035nteger R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (=> (@ tptp.left_u4005249686606446046at_int S6) (=> (@ tptp.right_1157779049177982926at_int S6) (@ (@ tptp.ord_le8615040745438789472_int_o (@ (@ tptp.bNF_re2828929484557863493at_int (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom2127790875031262553er_int (@ (@ tptp.bNF_re8766404587435608311at_nat R3) S5)) (@ (@ tptp.bNF_re2828929484557863493at_int R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (=> (@ tptp.left_u4005249686606446046at_int S6) (=> (@ tptp.right_1157779049177982926at_int S6) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ tptp.bNF_re7400052026677387805at_int (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom4982215633375716084nt_int (@ (@ tptp.bNF_re2241393799969408733at_nat R3) S5)) (@ (@ tptp.bNF_re7400052026677387805at_int R7) S6)))))))))
% 3.35/4.35  (assert (forall ((R tptp.set_Pr5564308138774400199at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.ord_le3091953645718357095at_nat R) (@ (@ tptp.produc4441300235185154312at_nat A4) (lambda ((Uu tptp.produc3843707927480180839at_nat)) A4))) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X) X)) R))) (@ (@ tptp.refl_o7446464703481863270at_nat A4) R)))))
% 3.35/4.35  (assert (forall ((R tptp.set_Pr8693737435421807431at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.ord_le3000389064537975527at_nat R) (@ (@ tptp.produc2761391749766926216at_nat A4) (lambda ((Uu tptp.product_prod_nat_nat)) A4))) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X) X)) R))) (@ (@ tptp.refl_o7122697186039111552at_nat A4) R)))))
% 3.35/4.35  (assert (forall ((R tptp.set_Product_prod_o_o) (A4 tptp.set_o)) (=> (@ (@ tptp.ord_le192195778054999463od_o_o R) (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) A4))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X) X)) R))) (@ (@ tptp.refl_on_o A4) R)))))
% 3.35/4.35  (assert (forall ((R tptp.set_Pr7459493094073627847at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.ord_le5997549366648089703at_nat R) (@ (@ tptp.produc6258361011560675592at_nat A4) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A4))) (=> (forall ((X tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X) X)) R))) (@ (@ tptp.refl_o6272981002401706822at_nat A4) R)))))
% 3.35/4.35  (assert (forall ((R tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.ord_le1268244103169919719at_nat R) (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A4))) (=> (forall ((X tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X) X)) R))) (@ (@ tptp.refl_o6955724340487615712at_nat A4) R)))))
% 3.35/4.35  (assert (forall ((R tptp.set_Pr958786334691620121nt_int) (A4 tptp.set_int)) (=> (@ (@ tptp.ord_le2843351958646193337nt_int R) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) A4))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) X)) R))) (@ (@ tptp.refl_on_int A4) R)))))
% 3.35/4.35  (assert (forall ((R tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat R) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) A4))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) X)) R))) (@ (@ tptp.refl_on_nat A4) R)))))
% 3.35/4.35  (assert (= tptp.refl_o6272981002401706822at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (R5 tptp.set_Pr7459493094073627847at_nat)) (and (@ (@ tptp.ord_le5997549366648089703at_nat R5) (@ (@ tptp.produc6258361011560675592at_nat A6) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A6))) (forall ((X4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X4) A6) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) X4)) R5)))))))
% 3.35/4.35  (assert (= tptp.refl_o6955724340487615712at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (R5 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.ord_le1268244103169919719at_nat R5) (@ (@ tptp.produc7726050920695093128at_nat A6) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A6))) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) A6) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) X4)) R5)))))))
% 3.35/4.35  (assert (= tptp.refl_on_int (lambda ((A6 tptp.set_int) (R5 tptp.set_Pr958786334691620121nt_int)) (and (@ (@ tptp.ord_le2843351958646193337nt_int R5) (@ (@ tptp.produc1453890548195736866nt_int A6) (lambda ((Uu tptp.int)) A6))) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A6) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) X4)) R5)))))))
% 3.35/4.35  (assert (= tptp.refl_on_nat (lambda ((A6 tptp.set_nat) (R5 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.ord_le3146513528884898305at_nat R5) (@ (@ tptp.produc457027306803732586at_nat A6) (lambda ((Uu tptp.nat)) A6))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A6) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) X4)) R5)))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A tptp.int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ (@ tptp.insert_int A) B5)) (@ (@ tptp.insert_int (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A tptp.int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ (@ tptp.insert_int A) B5)) (@ (@ tptp.insert_nat (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_rat (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_int (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_nat (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_Product_unit (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_o F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_o (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_875570014554754200it_nat F))) (= (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5)) (@ (@ tptp.insert_nat (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (= (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5)) (@ (@ tptp.insert_Product_unit (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit Bool)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_Product_unit_o F))) (= (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5)) (@ (@ tptp.insert_o (@ F A)) (@ _let_1 B5))))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.insert_nat (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.insert_Product_unit (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool Bool))) (let ((_let_1 (@ (@ tptp.image_o_o F) A4))) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.insert_o (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (let ((_let_1 (@ (@ tptp.image_nat_rat F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_rat (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_int (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_nat (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_Product_unit (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat Bool))) (let ((_let_1 (@ (@ tptp.image_nat_o F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_o (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.insert_int (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.insert_nat (@ F X2)) _let_1) _let_1)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ tptp.complete_Sup_Sup_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((X4 tptp.set_nat)) X4)) A4)) (@ tptp.comple7399068483239264473et_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ tptp.complete_Sup_Sup_int A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) X4)) A4)) (@ tptp.comple4687483117567863418t_unit A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ tptp.complete_Inf_Inf_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((X4 tptp.set_nat)) X4)) A4)) (@ tptp.comple7806235888213564991et_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ tptp.complete_Inf_Inf_int A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) X4)) A4)) (@ tptp.comple2584293577114468500t_unit A4))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B Bool) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member_o A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4))))))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B tptp.int) (B5 (-> Bool tptp.set_int))) (let ((_let_1 (@ tptp.member_int B))) (=> (@ (@ tptp.member_o A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B Bool) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.int) (B5 (-> tptp.nat tptp.set_int))) (let ((_let_1 (@ tptp.member_int B))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B Bool) (B5 (-> tptp.int tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member_int A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B5 (-> tptp.int tptp.set_int))) (let ((_let_1 (@ tptp.member_int B))) (=> (@ (@ tptp.member_int A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4))))))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B tptp.nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ (@ tptp.member_o A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ (@ tptp.member_int A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))))))))
% 3.35/4.35  (assert (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B Bool) (B5 (-> tptp.product_prod_nat_nat tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_501298686397505212_set_o B5) A4))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B Bool) (B5 (-> Bool tptp.set_o))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B tptp.int) (B5 (-> Bool tptp.set_int))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_int B) (@ B5 X)))) (@ (@ tptp.member_int B) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B tptp.int) (B5 (-> tptp.nat tptp.set_int))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_int B) (@ B5 X)))) (@ (@ tptp.member_int B) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B Bool) (B5 (-> tptp.int tptp.set_o))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B tptp.int) (B5 (-> tptp.int tptp.set_int))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_int B) (@ B5 X)))) (@ (@ tptp.member_int B) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_nat B) (@ B5 X)))) (@ (@ tptp.member_nat B) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_nat B) (@ B5 X)))) (@ (@ tptp.member_nat B) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_nat B) (@ B5 X)))) (@ (@ tptp.member_nat B) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B Bool) (B5 (-> tptp.product_prod_nat_nat tptp.set_o))) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_501298686397505212_set_o B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ tptp.complete_Sup_Sup_o A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ tptp.complete_Sup_Sup_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat tptp.id_set_nat) A4)) (@ tptp.comple7399068483239264473et_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ tptp.complete_Sup_Sup_int A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit tptp.id_Product_unit) A4)) (@ tptp.comple4687483117567863418t_unit A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ tptp.complete_Inf_Inf_o A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ tptp.complete_Inf_Inf_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat tptp.id_set_nat) A4)) (@ tptp.comple7806235888213564991et_nat A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ tptp.complete_Inf_Inf_int A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit tptp.id_Product_unit) A4)) (@ tptp.comple2584293577114468500t_unit A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) F)) A4)) F))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A tptp.product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A Bool) (B5 (-> tptp.product_unit tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A tptp.nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3)))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A tptp.product_prod_nat_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ B5 X4)))) C3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3)))))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit X4) tptp.bot_bo3957492148770167129t_unit))) A4)) A4)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_7364710425340685989at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.insert9069300056098147895at_nat X4) tptp.bot_bo228742789529271731at_nat))) A4)) A4)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.insert8211810215607154385at_nat X4) tptp.bot_bo2099793752762293965at_nat))) A4)) A4)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o X4) tptp.bot_bot_set_o))) A4)) A4)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat X4) tptp.bot_bot_set_nat))) A4)) A4)))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.refl_o6272981002401706822at_nat (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) X2)) tptp.bot_bo4948859079157340979at_nat))))
% 3.35/4.35  (assert (forall ((X2 tptp.int)) (@ (@ tptp.refl_on_int (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X2) X2)) tptp.bot_bo1796632182523588997nt_int))))
% 3.35/4.35  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.refl_o6955724340487615712at_nat (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) X2)) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_unit)) (@ (@ tptp.refl_on_Product_unit (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit X2) X2)) tptp.bot_bo1654022762305692595t_unit))))
% 3.35/4.35  (assert (forall ((X2 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.refl_o7446464703481863270at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) X2)) tptp.bot_bo7193250159860175667at_nat))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.refl_o7122697186039111552at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) X2)) tptp.bot_bo5327735625951526323at_nat))))
% 3.35/4.35  (assert (forall ((X2 Bool)) (@ (@ tptp.refl_on_o (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o X2) X2)) tptp.bot_bo7073875226086086771od_o_o))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat)) (@ (@ tptp.refl_on_nat (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X2) X2)) tptp.bot_bo2099793752762293965at_nat))))
% 3.35/4.35  (assert (forall ((U Bool) (A4 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U Bool) (A4 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.nat) (A4 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.product_unit) (B5 (-> tptp.int tptp.set_Product_unit))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_8658272795163236474t_unit (lambda ((X4 tptp.int)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.int) (A4 tptp.set_int) (A Bool) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o (lambda ((X4 tptp.int)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4)))))))
% 3.35/4.35  (assert (forall ((U Bool) (A4 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_unit) (B5 (-> tptp.product_prod_nat_nat tptp.set_Product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_121980125215734065t_unit (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_121980125215734065t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U Bool) (A4 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U Bool) (A4 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.nat) (A4 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.product_unit) (B5 (-> tptp.int tptp.set_Product_unit))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit (lambda ((X4 tptp.int)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.int) (A4 tptp.set_int) (A Bool) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o (lambda ((X4 tptp.int)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4)))))))
% 3.35/4.35  (assert (forall ((U Bool) (A4 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4)))))))
% 3.35/4.35  (assert (forall ((U tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_unit) (B5 (-> tptp.product_prod_nat_nat tptp.set_Product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_121980125215734065t_unit (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_121980125215734065t_unit B5) A4)))))))
% 3.35/4.35  (assert (forall ((X5 tptp.set_set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ tptp.comple7399068483239264473et_nat X5)) B5) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_6521575952113991828at_nat (lambda ((A6 tptp.set_nat)) (@ (@ tptp.produc457027306803732586at_nat A6) B5))) X5)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat C3) A4)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat C3) A4)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.int)) (D (-> Bool tptp.int))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int C3) A4)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int C3) A4)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int C3) A4)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.product_unit)) (D (-> Bool tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit C3) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.product_unit)) (D (-> tptp.nat tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit C3) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.product_unit)) (D (-> tptp.int tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit C3) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.set_nat)) (D (-> Bool tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat C3) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat C3) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat C3) A4)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat C3) A4)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.int)) (D (-> Bool tptp.int))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int C3) A4)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int C3) A4)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int C3) A4)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.product_unit)) (D (-> Bool tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit C3) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.product_unit)) (D (-> tptp.nat tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit C3) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.product_unit)) (D (-> tptp.int tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit C3) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.set_nat)) (D (-> Bool tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat C3) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat C3) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat D) B5)))))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (X5 tptp.set_Product_unit)) (=> (@ (@ tptp.member_Product_unit X2) A4) (=> (@ (@ tptp.ord_le3507040750410214029t_unit X5) A4) (@ (@ tptp.ord_le3507040750410214029t_unit (@ (@ tptp.insert_Product_unit X2) X5)) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (X5 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X2) A4) (=> (@ (@ tptp.ord_le1268244103169919719at_nat X5) A4) (@ (@ tptp.ord_le1268244103169919719at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) X5)) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (X5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X2) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat X5) A4) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) X5)) A4)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (X5 tptp.set_o)) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_set_o X5) A4) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.insert_o X2) X5)) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (X5 tptp.set_nat)) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_less_eq_set_nat X5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.insert_nat X2) X5)) A4)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (X5 tptp.set_int)) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_less_eq_set_int X5) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.insert_int X2) X5)) A4)))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A tptp.product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit))) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ _let_1 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) (=> (not _let_3) (= _let_2 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A Bool) (B5 (-> tptp.product_unit tptp.set_o))) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_o))) (=> (not _let_3) (= _let_2 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ _let_1 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_o))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) (=> (not _let_3) (= _let_2 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_o))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_o))) (=> (not _let_3) (= _let_2 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ _let_1 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) (=> (not _let_3) (= _let_2 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_o))) (=> (not _let_3) (= _let_2 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A tptp.nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_o))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (forall ((C3 tptp.set_Product_unit) (A tptp.product_prod_nat_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.insert8211810215607154385at_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo2099793752762293965at_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ B5 X4)))) C3))))))))))
% 3.35/4.35  (assert (= tptp.produc6258361011560675592at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (B6 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat))) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (lambda ((Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) tptp.bot_bo4948859079157340979at_nat))) (@ B6 X4))))) A6)))))
% 3.35/4.35  (assert (= tptp.produc6237731129814287028at_num (lambda ((A6 tptp.set_nat) (B6 (-> tptp.nat tptp.set_num))) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_2893549341467670548at_num (lambda ((X4 tptp.nat)) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (lambda ((Y5 tptp.num)) (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) tptp.bot_bo7038385379056416535at_num))) (@ B6 X4))))) A6)))))
% 3.35/4.35  (assert (= tptp.produc1453890548195736866nt_int (lambda ((A6 tptp.set_int) (B6 (-> tptp.int tptp.set_int))) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_8635204845542730022nt_int (lambda ((X4 tptp.int)) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_8635204845542730022nt_int (lambda ((Y5 tptp.int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) tptp.bot_bo1796632182523588997nt_int))) (@ B6 X4))))) A6)))))
% 3.35/4.35  (assert (= tptp.produc7726050920695093128at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (B6 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_6898982319499645995at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_6898982319499645995at_nat (lambda ((Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) tptp.bot_bo228742789529271731at_nat))) (@ B6 X4))))) A6)))))
% 3.35/4.35  (assert (= tptp.produc457027306803732586at_nat (lambda ((A6 tptp.set_nat) (B6 (-> tptp.nat tptp.set_nat))) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((Y5 tptp.nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) tptp.bot_bo2099793752762293965at_nat))) (@ B6 X4))))) A6)))))
% 3.35/4.35  (assert (forall ((E2 (-> tptp.nat tptp.set_nat)) (F4 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat (@ tptp.produc8197505143624133779at_nat (lambda ((A5 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.produc457027306803732586at_nat (@ E2 A5)) (lambda ((Uu tptp.nat)) (@ F4 B4)))))) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat E2) A4))) (lambda ((Uu tptp.nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F4) B5)))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (B5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.right_4094035864313884895at_nat A4) (=> (@ tptp.right_1157779049177982926at_int B5) (@ tptp.right_1157779049177982926at_int (@ (@ tptp.relcom8911704206367525917at_int A4) B5))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.right_total_int_int A4) (=> (@ tptp.right_7281159819619925802nteger B5) (@ tptp.right_7281159819619925802nteger (@ (@ tptp.relcom967497705283160040nteger A4) B5))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (A Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (A tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) A)) R)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) Y3)) R) (@ (@ tptp.member8757157785044589968at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) R) (@ (@ tptp.member8440522571783428010at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (X2 Bool) (Y3 Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X2) Y3)) R) (@ (@ tptp.member_o X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) R) (@ (@ tptp.member6273874620674182256at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) R) (@ (@ tptp.member2643936169264416010at_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (X2 tptp.nat) (Y3 tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) R) (@ (@ tptp.member_nat X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (X2 tptp.int) (Y3 tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) R) (@ (@ tptp.member_int X2) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) Y3)) R) (@ (@ tptp.member8757157785044589968at_nat Y3) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) R) (@ (@ tptp.member8440522571783428010at_nat Y3) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (X2 Bool) (Y3 Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X2) Y3)) R) (@ (@ tptp.member_o Y3) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) R) (@ (@ tptp.member6273874620674182256at_nat Y3) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) R) (@ (@ tptp.member2643936169264416010at_nat Y3) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (X2 tptp.nat) (Y3 tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) R) (@ (@ tptp.member_nat Y3) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (X2 tptp.int) (Y3 tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) R) (@ (@ tptp.member_int Y3) A4)))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((Y5 tptp.set_nat)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) Y5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) (@ tptp.comple7399068483239264473et_nat A4))))))
% 3.35/4.35  (assert (= tptp.id_on_3275838214495744996at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) X4)) tptp.bot_bo4948859079157340979at_nat))) A6)))))
% 3.35/4.35  (assert (= tptp.id_on_int (lambda ((A6 tptp.set_int)) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_8635204845542730022nt_int (lambda ((X4 tptp.int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X4) X4)) tptp.bot_bo1796632182523588997nt_int))) A6)))))
% 3.35/4.35  (assert (= tptp.id_on_6713504163309144702at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_6898982319499645995at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) X4)) tptp.bot_bo228742789529271731at_nat))) A6)))))
% 3.35/4.35  (assert (= tptp.id_on_nat (lambda ((A6 tptp.set_nat)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X4) X4)) tptp.bot_bo2099793752762293965at_nat))) A6)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_15824709712370754et_nat F) A4))) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_nat_set_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (B5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.right_1383565826979811350at_nat A4) (=> (@ tptp.right_8621877368619751767at_int B5) (@ tptp.right_8621877368619751767at_int (@ (@ tptp.relcom8911704206367525917at_int A4) B5))))))
% 3.35/4.35  (assert (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.right_unique_int_int A4) (=> (@ tptp.right_8475562212078014689nteger B5) (@ tptp.right_8475562212078014689nteger (@ (@ tptp.relcom967497705283160040nteger A4) B5))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> Bool tptp.set_o)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> tptp.nat tptp.set_o)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_nat A) A4)))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> tptp.int tptp.set_o)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_int A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> Bool tptp.set_int)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> tptp.nat tptp.set_int)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_nat A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> tptp.int tptp.set_int)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_int A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> Bool tptp.set_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_nat A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> tptp.int tptp.set_nat)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_int A) A4)))))))
% 3.35/4.35  (assert (forall ((B tptp.product_prod_nat_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat B))) (=> (@ _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> Bool tptp.set_o)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> tptp.nat tptp.set_o)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4))) (=> (@ (@ tptp.member_nat A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> tptp.int tptp.set_o)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4))) (=> (@ (@ tptp.member_int A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> Bool tptp.set_int)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> tptp.nat tptp.set_int)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (=> (@ (@ tptp.member_nat A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> tptp.int tptp.set_int)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (=> (@ (@ tptp.member_int A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> Bool tptp.set_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (=> (@ (@ tptp.member_nat A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> tptp.int tptp.set_nat)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (=> (@ (@ tptp.member_int A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B tptp.product_prod_nat_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat B))) (=> (@ _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> Bool tptp.set_o)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_o B) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member_o B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> tptp.nat tptp.set_o)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_o B) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) A4))) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (@ (@ tptp.member_o B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B Bool) (B5 (-> tptp.int tptp.set_o)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_o B) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4))) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (@ (@ tptp.member_o B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> Bool tptp.set_int)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_int B) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member_int B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> tptp.nat tptp.set_int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_int B) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4))) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (@ (@ tptp.member_int B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.int) (B5 (-> tptp.int tptp.set_int)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_int B) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4))) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (@ (@ tptp.member_int B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> Bool tptp.set_nat)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_nat B) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member_nat B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_nat B) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (@ (@ tptp.member_nat B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.nat) (B5 (-> tptp.int tptp.set_nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_nat B) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (@ (@ tptp.member_nat B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((B tptp.product_prod_nat_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_o)) (=> (@ (@ tptp.member8440522571783428010at_nat B) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member8440522571783428010at_nat B) (@ B5 X)))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_rat (@ F X4)) tptp.bot_bot_set_rat))) A4)) (@ (@ tptp.image_nat_rat F) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_int (@ F X4)) tptp.bot_bot_set_int))) A4)) (@ (@ tptp.image_nat_int F) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.insert_int (@ F X4)) tptp.bot_bot_set_int))) A4)) (@ (@ tptp.image_int_int F) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat (@ F X4)) tptp.bot_bot_set_nat))) A4)) (@ (@ tptp.image_nat_nat F) A4))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.insert_nat (@ F X4)) tptp.bot_bot_set_nat))) A4)) (@ (@ tptp.image_int_nat F) A4))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (G (-> Bool tptp.product_unit)) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_o) (G (-> Bool tptp.product_unit)) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_o) (G (-> Bool tptp.product_unit)) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (G (-> Bool tptp.set_nat)) (F (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_less_eq_set_nat (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X6)) (@ G J2)))))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_nat) (F (-> Bool tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_int) (F (-> Bool tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_o) (F (-> tptp.nat tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_o) (F (-> tptp.int tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_less_eq_set_nat (@ G J2)) (@ F X6)))))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) X2)))))
% 3.35/4.35  (assert (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_int_nat_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_nat_int_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (@ (@ tptp.comp_nat_int_int G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_int_int_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_int_nat_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_nat_int_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (@ (@ tptp.comp_nat_int_int G) F)) A4)))))
% 3.35/4.35  (assert (forall ((G (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_int_int_nat G) F)) A4)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.set_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (U tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (U tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (U tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.product_unit) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (U tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (U tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (U tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member_o I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member_nat I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member_int I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member_o I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member_nat I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member_int I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) U)))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ F I)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (X2 tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (X2 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (X2 tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.product_unit) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (X2 tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (X2 tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (X2 tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.set_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))))))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (U tptp.set_nat) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member_o I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (U tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (U tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member_int I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.product_unit) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))))))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (U tptp.product_unit) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member_o I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (U tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (U tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member_int I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) U))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) X2)))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.rat tptp.set_nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_rat_set_nat B5) (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.35  (assert (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (@ B5 A)))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (C3 tptp.set_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C3 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C3 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C3 tptp.set_nat) (B5 (-> tptp.int tptp.set_nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat G) A4)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat G) A4)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat G) A4)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat G) A4)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat G) A4)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C tptp.int)) (let ((_let_1 (= A4 tptp.bot_bot_set_int))) (and (=> _let_1 (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4) tptp.bot_bot_set_int)) (=> (not _let_1) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C tptp.nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_int))) (and (=> _let_1 (= (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C Bool)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ (@ tptp.image_Product_unit_o (lambda ((X4 tptp.product_unit)) C)) A4) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ (@ tptp.image_Product_unit_o (lambda ((X4 tptp.product_unit)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) C)) A4) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C Bool)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ (@ tptp.image_o_o (lambda ((X4 Bool)) C)) A4) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ (@ tptp.image_o_o (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) C)) A4) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) C)) A4) tptp.bot_bot_set_rat)) (=> (not _let_1) (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_rat C) tptp.bot_bot_set_rat)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.int)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4) tptp.bot_bot_set_int)) (=> (not _let_1) (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C tptp.rat)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_rat C) tptp.bot_bot_set_rat)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C tptp.int)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (C tptp.int)) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (C tptp.product_unit)) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C tptp.product_unit)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (C tptp.product_unit)) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (C Bool)) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.image_o_o (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))
% 3.35/4.35  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C Bool)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_nat_o (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))
% 3.35/4.35  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (C Bool)) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.image_int_o (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))
% 3.35/4.35  (assert (forall ((X2 Bool) (A4 tptp.set_o) (C tptp.nat)) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.rat tptp.set_nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_rat_set_nat B5) (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) tptp.bot_bot_set_o)) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) tptp.bot_bot_set_o)) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) tptp.bot_bot_set_nat)) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) tptp.bot_bot_set_nat)) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) tptp.bot_bot_set_o)) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) tptp.bot_bot_set_nat)) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bo2099793752762293965at_nat)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))) C3))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))) C3))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))) C3))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) C3))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))) C3))))
% 3.35/4.35  (assert (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ (@ tptp.comp_s8709038167382007543et_int tptp.comple3221217463730067765et_int) (@ tptp.image_524474410958335435et_int _let_1)) (@ (@ tptp.comp_s2487324123861929025et_int _let_1) tptp.comple3221217463730067765et_int)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat))) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ (@ tptp.comp_s703482200030188019et_nat tptp.comple3890839924845867745et_rat) (@ tptp.image_4408659257933336347et_rat _let_1)) (@ (@ tptp.comp_s6435139744279249717et_nat _let_1) tptp.comple7399068483239264473et_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int))) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ (@ tptp.comp_s1975749275458958491et_nat tptp.comple3221217463730067765et_int) (@ tptp.image_3739036796817536367et_int _let_1)) (@ (@ tptp.comp_s3768223441818958217et_nat _let_1) tptp.comple7399068483239264473et_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ (@ tptp.comp_s6907669228194913343et_int tptp.comple7399068483239264473et_nat) (@ tptp.image_4702325430467532143et_nat _let_1)) (@ (@ tptp.comp_s5712175470073906149et_int _let_1) tptp.comple3221217463730067765et_int)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ (@ tptp.comp_s174380336271864291et_nat tptp.comple7399068483239264473et_nat) (@ tptp.image_7916887816326733075et_nat _let_1)) (@ (@ tptp.comp_s6993074788030935341et_nat _let_1) tptp.comple7399068483239264473et_nat)))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.int)) (S5 tptp.set_set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ tptp.comple3221217463730067765et_int S5)) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_524474410958335435et_int _let_1) S5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.int tptp.nat)) (S5 tptp.set_set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ tptp.comple3221217463730067765et_int S5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_4702325430467532143et_nat _let_1) S5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (S5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat S5)) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_4408659257933336347et_rat _let_1) S5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (S5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat S5)) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3739036796817536367et_int _let_1) S5))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.nat)) (S5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat S5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) S5))))))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((Y5 tptp.set_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) Y5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) (@ tptp.comple7399068483239264473et_nat A4))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (C tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (C tptp.product_unit) (F (-> tptp.product_unit tptp.product_unit))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (C tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (C tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_int) (C tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Product_unit) (C tptp.set_nat) (F (-> tptp.product_unit tptp.set_nat))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_o) (C tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_nat) (C tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (C tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (C tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.product_unit)) (A tptp.product_unit) (X2 tptp.char)) (=> (= (@ (@ tptp.image_4337914935673063477t_unit F) tptp.top_top_set_char) (@ (@ tptp.insert_Product_unit A) tptp.bot_bo3957492148770167129t_unit)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char Bool)) (A Bool) (X2 tptp.char)) (=> (= (@ (@ tptp.image_char_o F) tptp.top_top_set_char) (@ (@ tptp.insert_o A) tptp.bot_bot_set_o)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.char tptp.nat)) (A tptp.nat) (X2 tptp.char)) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.product_unit)) (A tptp.product_unit) (X2 tptp.rat)) (=> (= (@ (@ tptp.image_2327579789247107822t_unit F) tptp.top_top_set_rat) (@ (@ tptp.insert_Product_unit A) tptp.bot_bo3957492148770167129t_unit)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat Bool)) (A Bool) (X2 tptp.rat)) (=> (= (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat) (@ (@ tptp.insert_o A) tptp.bot_bot_set_o)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.rat tptp.nat)) (A tptp.nat) (X2 tptp.rat)) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.rat)) (A tptp.rat) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) (@ (@ tptp.insert_rat A) tptp.bot_bot_set_rat)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.int)) (A tptp.int) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.product_unit) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_8730104196221521654t_unit F) tptp.top_top_set_nat) (@ (@ tptp.insert_Product_unit A) tptp.bot_bo3957492148770167129t_unit)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat Bool)) (A Bool) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat) (@ (@ tptp.insert_o A) tptp.bot_bot_set_o)) (= (@ F X2) A))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat B5) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o B5) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat B5) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int B5) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (G (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat B5) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (G (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_o) (A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_o B5) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_nat B5) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((B5 tptp.set_int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_int B5) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (G (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (G (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_Product_unit)) (=> (not _let_1) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_Product_unit)) (=> (not _let_1) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_Product_unit)) (=> (not _let_1) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_Product_unit)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) tptp.bot_bot_set_o)) tptp.top_top_Product_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) tptp.bot_bot_set_nat)) tptp.top_top_Product_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_char)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char F) tptp.bot_bot_set_o)) tptp.top_top_set_char)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char F) tptp.bot_bot_set_nat)) tptp.top_top_set_char)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_rat)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat F) tptp.bot_bot_set_o)) tptp.top_top_set_rat)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat F) tptp.bot_bot_set_nat)) tptp.top_top_set_rat)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_int)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_Product_unit)) (=> (not _let_1) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_Product_unit)) (=> (not _let_1) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_Product_unit)) (=> (not _let_1) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_Product_unit)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) tptp.bot_bot_set_o)) tptp.bot_bot_Product_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) tptp.bot_bot_set_nat)) tptp.bot_bot_Product_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit F) tptp.bot_bot_set_o)) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((F (-> Bool tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o F) tptp.bot_bot_set_o)) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit F) tptp.bot_bot_set_nat)) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.35  (assert (forall ((F (-> tptp.nat tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o F) tptp.bot_bot_set_nat)) tptp.bot_bot_set_o)))
% 3.35/4.35  (assert (forall ((F (-> tptp.product_unit tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_nat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_char)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char B5) tptp.bot_bot_set_o)) tptp.top_top_set_char)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char B5) tptp.bot_bot_set_nat)) tptp.top_top_set_char)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_rat)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat B5) tptp.bot_bot_set_o)) tptp.top_top_set_rat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat B5) tptp.bot_bot_set_nat)) tptp.top_top_set_rat)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_int)))
% 3.35/4.35  (assert (forall ((B5 (-> Bool tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) tptp.bot_bot_set_o)) tptp.top_top_set_int)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.nat tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) tptp.bot_bot_set_nat)) tptp.top_top_set_int)))
% 3.35/4.35  (assert (forall ((B5 (-> tptp.product_unit tptp.set_nat))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_nat)))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.int)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_int) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.int)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_o) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) C)) A4)) C))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.char tptp.char tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8077363282794994245t_unit (lambda ((X4 (-> tptp.char tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_char)))) tptp.top_to8079350907815874599r_char)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.char tptp.rat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6940606515012899070t_unit (lambda ((X4 (-> tptp.rat tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_char)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.char tptp.nat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4600008085730780422t_unit (lambda ((X4 (-> tptp.nat tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_char)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.char tptp.int tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4409302170498516394t_unit (lambda ((X4 (-> tptp.int tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_int)))) tptp.top_top_set_int_char)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.rat tptp.char tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7615136836863079294t_unit (lambda ((X4 (-> tptp.char tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char_rat)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.rat tptp.rat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_1193274288206594871t_unit (lambda ((X4 (-> tptp.rat tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_rat)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.rat tptp.nat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_340470173791133503t_unit (lambda ((X4 (-> tptp.nat tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_rat)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.rat tptp.int tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4174709274675160035t_unit (lambda ((X4 (-> tptp.int tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_int)))) tptp.top_top_set_int_rat)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat tptp.char tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_108929247839792006t_unit (lambda ((X4 (-> tptp.char tptp.nat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char_nat)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.nat tptp.rat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2910438736038083391t_unit (lambda ((X4 (-> tptp.rat tptp.nat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_nat)))))
% 3.35/4.35  (assert (forall ((P2 (-> tptp.char tptp.char tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8077363282794994245t_unit (lambda ((F2 (-> tptp.char tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_char)))) tptp.top_to8079350907815874599r_char)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.char tptp.rat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6940606515012899070t_unit (lambda ((F2 (-> tptp.rat tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_char)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.char tptp.nat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4600008085730780422t_unit (lambda ((F2 (-> tptp.nat tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_char)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.char tptp.int tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4409302170498516394t_unit (lambda ((F2 (-> tptp.int tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_int)))) tptp.top_top_set_int_char)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.rat tptp.char tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7615136836863079294t_unit (lambda ((F2 (-> tptp.char tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_char)))) tptp.top_top_set_char_rat)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.rat tptp.rat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_1193274288206594871t_unit (lambda ((F2 (-> tptp.rat tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_rat)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.rat tptp.nat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_340470173791133503t_unit (lambda ((F2 (-> tptp.nat tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_rat)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.rat tptp.int tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4174709274675160035t_unit (lambda ((F2 (-> tptp.int tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_int)))) tptp.top_top_set_int_rat)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat tptp.char tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_108929247839792006t_unit (lambda ((F2 (-> tptp.char tptp.nat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_char)))) tptp.top_top_set_char_nat)))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat tptp.rat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2910438736038083391t_unit (lambda ((F2 (-> tptp.rat tptp.nat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_nat)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M3 tptp.nat) (F (-> tptp.int tptp.nat))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (M3 tptp.nat) (F (-> tptp.product_unit tptp.nat))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M3 tptp.nat) (F (-> Bool tptp.nat))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M3 tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M3 tptp.int) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (M3 tptp.int) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M3 tptp.int) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M3 tptp.int) (F (-> tptp.nat tptp.int))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M3 tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (M3 tptp.product_unit) (F (-> tptp.product_unit tptp.product_unit))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (M tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) M))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (M tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) M))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))) M)))))
% 3.35/4.36  (assert (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4)) C)))))
% 3.35/4.36  (assert (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4)) C)))))
% 3.35/4.36  (assert (forall ((A Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member_o A) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4)) C)))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member_nat A) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4)) C)))))
% 3.35/4.36  (assert (forall ((A tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member_int A) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4)) C)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R) (and (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R) (and (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (A Bool) (B Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_o B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R) (and (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member6273874620674182256at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R) (and (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member2643936169264416010at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_int B) A4))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_char) (B5 (-> tptp.product_unit tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_char A4) (@ tptp.comple4338141846124676698t_char (@ (@ tptp.image_5325685772115642575t_char B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_char) (B5 (-> Bool tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_char A4) (@ tptp.comple4338141846124676698t_char (@ (@ tptp.image_o_set_char B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_char) (B5 (-> tptp.nat tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_char A4) (@ tptp.comple4338141846124676698t_char (@ (@ tptp.image_nat_set_char B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_rat) (B5 (-> tptp.product_unit tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_rat A4) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_4665621433434589782et_rat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_rat) (B5 (-> Bool tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_rat A4) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_o_set_rat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_rat) (B5 (-> tptp.nat tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_rat A4) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_nat_set_rat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_int) (B5 (-> tptp.product_unit tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_int A4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_int) (B5 (-> Bool tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_int A4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_int) (B5 (-> tptp.nat tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_int A4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int R3) tptp.bot_bo5438875203632553179_int_o) tptp.bot_bo5438875203632553179_int_o)))
% 3.35/4.36  (assert (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.relcom967497705283160040nteger R3) tptp.bot_bo341146761387662761eger_o) tptp.bot_bo341146761387662761eger_o)))
% 3.35/4.36  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int tptp.bot_bo4898103413517107610_nat_o) R3) tptp.bot_bo5438875203632553179_int_o)))
% 3.35/4.36  (assert (forall ((R3 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger tptp.bot_bot_int_int_o) R3) tptp.bot_bo341146761387662761eger_o)))
% 3.35/4.36  (assert (forall ((A tptp.int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) tptp.top_top_set_int) tptp.top_top_set_int)))
% 3.35/4.36  (assert (forall ((A tptp.rat)) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) tptp.top_top_set_rat) tptp.top_top_set_rat)))
% 3.35/4.36  (assert (forall ((A tptp.code_integer)) (= (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) tptp.top_to4645266643341252675nteger) tptp.top_to4645266643341252675nteger)))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat (@ A4 X4)) B5))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (J3 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.minus_minus_set_nat I3) J3)) C3) (@ (@ tptp.minus_1356011639430497352at_nat (@ (@ tptp.produc457027306803732586at_nat I3) C3)) (@ (@ tptp.produc457027306803732586at_nat J3) C3)))))
% 3.35/4.36  (assert (forall ((A tptp.int) (S2 tptp.set_int) (T2 tptp.set_int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) (@ (@ tptp.minus_minus_set_int S2) T2)) (@ (@ tptp.minus_minus_set_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) S2)) (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) T2)))))
% 3.35/4.36  (assert (forall ((A tptp.rat) (S2 tptp.set_rat) (T2 tptp.set_rat)) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) (@ (@ tptp.minus_minus_set_rat S2) T2)) (@ (@ tptp.minus_minus_set_rat (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) S2)) (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) T2)))))
% 3.35/4.36  (assert (forall ((A tptp.code_integer) (S2 tptp.set_Code_integer) (T2 tptp.set_Code_integer)) (= (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) (@ (@ tptp.minus_2355218937544613996nteger S2) T2)) (@ (@ tptp.minus_2355218937544613996nteger (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) S2)) (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) T2)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.minus_minus_set_nat A4) B5)) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.minus_1356011639430497352at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.produc457027306803732586at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_set_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.minus_1356011639430497352at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (= tptp.comple1177764198577243945_nat_o (lambda ((S4 tptp.set_Pr7010166363911110284_nat_o) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) S4))))))
% 3.35/4.36  (assert (= tptp.complete_Sup_Sup_o_o (lambda ((S4 tptp.set_o_o) (X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_o_set_o tptp.collect_o) S4))))))
% 3.35/4.36  (assert (= tptp.comple6496622788309502864_int_o (lambda ((S4 tptp.set_int_o) (X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_o_set_int tptp.collect_int) S4))))))
% 3.35/4.36  (assert (= tptp.comple1901448594430626575_nat_o (lambda ((S4 tptp.set_Pr5582243495563764594_nat_o) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) S4))))))
% 3.35/4.36  (assert (= tptp.comple342879659800731223_int_o (lambda ((S4 tptp.set_Pr8049984349381595834_int_o) (X4 tptp.product_prod_int_int)) (@ (@ tptp.member5262025264175285858nt_int X4) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) S4))))))
% 3.35/4.36  (assert (= tptp.comple8317665133742190828_nat_o (lambda ((S4 tptp.set_nat_o) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_o_set_nat tptp.collect_nat) S4))))))
% 3.35/4.36  (assert (= tptp.comple8183010123678664591_nat_o (lambda ((S4 tptp.set_Pr7010166363911110284_nat_o) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) S4))))))
% 3.35/4.36  (assert (= tptp.complete_Inf_Inf_o_o (lambda ((S4 tptp.set_o_o) (X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_o_set_o tptp.collect_o) S4))))))
% 3.35/4.36  (assert (= tptp.comple4393433247856107946_int_o (lambda ((S4 tptp.set_int_o) (X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_o_set_int tptp.collect_int) S4))))))
% 3.35/4.36  (assert (= tptp.comple6265855634338933877_nat_o (lambda ((S4 tptp.set_Pr5582243495563764594_nat_o) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) S4))))))
% 3.35/4.36  (assert (= tptp.comple4707286699709038525_int_o (lambda ((S4 tptp.set_Pr8049984349381595834_int_o) (X4 tptp.product_prod_int_int)) (@ (@ tptp.member5262025264175285858nt_int X4) (@ tptp.comple1626965760690514720nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) S4))))))
% 3.35/4.36  (assert (= tptp.comple6214475593288795910_nat_o (lambda ((S4 tptp.set_nat_o) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_o_set_nat tptp.collect_nat) S4))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se7592288975875140775at_nat)) (= (@ tptp.comple5307621999477653941_nat_o (@ (@ tptp.image_5337237954834410540_nat_o (lambda ((I2 tptp.set_Pr7459493094073627847at_nat) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple4403251139954110286at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple8322679762649017525_nat_o (@ (@ tptp.image_6595146019508340652_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple6751905152567503566at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se4826145725398303499at_num)) (= (@ tptp.comple2433913294995299363_num_o (@ (@ tptp.image_2055017250723459638_num_o (lambda ((I2 tptp.set_Pr6200539531224447659at_num) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple6868718957223342258at_num S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple1675732732025788397_nat_o (@ (@ tptp.image_6923511907955291850_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple1930127330929219688at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se6260736226359567993nt_int)) (= (@ tptp.comple5770381748412298549_int_o (@ (@ tptp.image_4446226961036766042_int_o (lambda ((I2 tptp.set_Pr958786334691620121nt_int) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) I2))) S5)) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple1626965760690514720nt_int S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se7592288975875140775at_nat)) (= (@ tptp.comple4502628867940267931_nat_o (@ (@ tptp.image_5337237954834410540_nat_o (lambda ((I2 tptp.set_Pr7459493094073627847at_nat) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple7342073961973170484at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple493620192902636699_nat_o (@ (@ tptp.image_6595146019508340652_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple4364388969068068532at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se4826145725398303499at_num)) (= (@ tptp.comple4350791933526045961_num_o (@ (@ tptp.image_2055017250723459638_num_o (lambda ((I2 tptp.set_Pr6200539531224447659at_num) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple1400524285282149784at_num S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple3592611370556534995_nat_o (@ (@ tptp.image_6923511907955291850_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple5685304695842803022at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se6260736226359567993nt_int)) (= (@ tptp.comple7687260386943045147_int_o (@ (@ tptp.image_4446226961036766042_int_o (lambda ((I2 tptp.set_Pr958786334691620121nt_int) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) I2))) S5)) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple5382143125604098054nt_int S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple1177764198577243945_nat_o (@ (@ tptp.image_4859512832475012440_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) I2))) S5)) (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple4364388969068068532at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple1901448594430626575_nat_o (@ (@ tptp.image_5253903537071781336_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) I2))) S5)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple5685304695842803022at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_set_o)) (= (@ tptp.complete_Sup_Sup_o_o (@ (@ tptp.image_set_o_o_o (lambda ((I2 tptp.set_o) (X4 Bool)) (@ (@ tptp.member_o X4) I2))) S5)) (lambda ((X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple90263536869209701_set_o S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_set_int)) (= (@ tptp.comple6496622788309502864_int_o (@ (@ tptp.image_set_int_int_o (lambda ((I2 tptp.set_int) (X4 tptp.int)) (@ (@ tptp.member_int X4) I2))) S5)) (lambda ((X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3221217463730067765et_int S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_set_nat)) (= (@ tptp.comple8317665133742190828_nat_o (@ (@ tptp.image_set_nat_nat_o (lambda ((I2 tptp.set_nat) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) I2))) S5)) (lambda ((X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7399068483239264473et_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple8183010123678664591_nat_o (@ (@ tptp.image_4859512832475012440_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) I2))) S5)) (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple6751905152567503566at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple6265855634338933877_nat_o (@ (@ tptp.image_5253903537071781336_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) I2))) S5)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple1930127330929219688at_nat S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_set_o)) (= (@ tptp.complete_Inf_Inf_o_o (@ (@ tptp.image_set_o_o_o (lambda ((I2 tptp.set_o) (X4 Bool)) (@ (@ tptp.member_o X4) I2))) S5)) (lambda ((X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple3063163877087187839_set_o S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_set_int)) (= (@ tptp.comple4393433247856107946_int_o (@ (@ tptp.image_set_int_int_o (lambda ((I2 tptp.set_int) (X4 tptp.int)) (@ (@ tptp.member_int X4) I2))) S5)) (lambda ((X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3628384868704368283et_int S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_set_nat)) (= (@ tptp.comple6214475593288795910_nat_o (@ (@ tptp.image_set_nat_nat_o (lambda ((I2 tptp.set_nat) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) I2))) S5)) (lambda ((X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7806235888213564991et_nat S5))))))
% 3.35/4.36  (assert (= tptp.comple4364388969068068532at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple90263536869209701_set_o (lambda ((A6 tptp.set_set_o)) (@ tptp.collect_o (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple3221217463730067765et_int (lambda ((A6 tptp.set_set_int)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple5685304695842803022at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple5382143125604098054nt_int (lambda ((A6 tptp.set_se6260736226359567993nt_int)) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple7399068483239264473et_nat (lambda ((A6 tptp.set_set_nat)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple6751905152567503566at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple3063163877087187839_set_o (lambda ((A6 tptp.set_set_o)) (@ tptp.collect_o (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple3628384868704368283et_int (lambda ((A6 tptp.set_set_int)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple1930127330929219688at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple1626965760690514720nt_int (lambda ((A6 tptp.set_se6260736226359567993nt_int)) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int X4)) A6)))))))
% 3.35/4.36  (assert (= tptp.comple7806235888213564991et_nat (lambda ((A6 tptp.set_set_nat)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat X4)) A6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.minus_minus_set_rat (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))))))
% 3.35/4.36  (assert (= tptp.comple5307621999477653941_nat_o (lambda ((S4 tptp.set_se7255092946006855566_nat_o) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple4403251139954110286at_nat (@ (@ tptp.image_5694205205332509994at_nat tptp.collec7872792499061297490at_nat) (@ (@ tptp.image_5235725667318448191_nat_o tptp.produc9020218426428501292_nat_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple8322679762649017525_nat_o (lambda ((S4 tptp.set_se9180647916752606350_nat_o) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_6226802281960588479_nat_o tptp.produc410239310623530412_nat_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple2433913294995299363_num_o (lambda ((S4 tptp.set_nat_num_o) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple6868718957223342258at_num (@ (@ tptp.image_6580737572886966642at_num tptp.collec4100598399430923318at_num) (@ (@ tptp.image_8484515203959327177_num_o tptp.produc4927758841916487424_num_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple1675732732025788397_nat_o (lambda ((S4 tptp.set_nat_nat_o) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_7429393840292777309_nat_o tptp.produc6081775807080527818_nat_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple5770381748412298549_int_o (lambda ((S4 tptp.set_int_int_o) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple1626965760690514720nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) (@ (@ tptp.image_1365644804893650413_int_o tptp.produc4947309494688390418_int_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple4502628867940267931_nat_o (lambda ((S4 tptp.set_se7255092946006855566_nat_o) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_5694205205332509994at_nat tptp.collec7872792499061297490at_nat) (@ (@ tptp.image_5235725667318448191_nat_o tptp.produc9020218426428501292_nat_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple493620192902636699_nat_o (lambda ((S4 tptp.set_se9180647916752606350_nat_o) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_6226802281960588479_nat_o tptp.produc410239310623530412_nat_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple4350791933526045961_num_o (lambda ((S4 tptp.set_nat_num_o) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_6580737572886966642at_num tptp.collec4100598399430923318at_num) (@ (@ tptp.image_8484515203959327177_num_o tptp.produc4927758841916487424_num_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple3592611370556534995_nat_o (lambda ((S4 tptp.set_nat_nat_o) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_7429393840292777309_nat_o tptp.produc6081775807080527818_nat_o) S4)))))))
% 3.35/4.36  (assert (= tptp.comple7687260386943045147_int_o (lambda ((S4 tptp.set_int_int_o) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) (@ (@ tptp.image_1365644804893650413_int_o tptp.produc4947309494688390418_int_o) S4)))))))
% 3.35/4.36  (assert (= tptp.bot_bo3364206721330744218_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) tptp.bot_bo4948859079157340979at_nat))))
% 3.35/4.36  (assert (= tptp.bot_bot_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) tptp.bot_bo7038385379056416535at_num))))
% 3.35/4.36  (assert (= tptp.bot_bot_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) tptp.bot_bo1796632182523588997nt_int))))
% 3.35/4.36  (assert (= tptp.bot_bo394778441745866138_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.36  (assert (= tptp.bot_bot_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) tptp.bot_bo2099793752762293965at_nat))))
% 3.35/4.36  (assert (= tptp.top_to1326704617074743934_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) tptp.top_to5281548843312042519at_nat))))
% 3.35/4.36  (assert (= tptp.top_to8903224817164384382_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) tptp.top_to6833984726390702231at_nat))))
% 3.35/4.36  (assert (= tptp.top_top_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) tptp.top_to385025497714130939at_num))))
% 3.35/4.36  (assert (= tptp.top_top_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) tptp.top_to4669805908274784177at_nat))))
% 3.35/4.36  (assert (= tptp.top_top_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) tptp.top_to4366644338036079209nt_int))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_int) (X2 tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.insert_int X2))) (=> (forall ((C2 tptp.set_int)) (=> (@ (@ tptp.member_set_int C2) B5) (not (@ (@ tptp.member_int X2) C2)))) (= (@ (@ tptp.member_set_int A4) (@ (@ tptp.image_524474410958335435et_int _let_1) B5)) (and (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_set_int (@ (@ tptp.minus_minus_set_int A4) (@ _let_1 tptp.bot_bot_set_int))) B5)))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_Product_unit) (X2 tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit X2))) (=> (forall ((C2 tptp.set_Product_unit)) (=> (@ (@ tptp.member5877623283571906838t_unit C2) B5) (not (@ (@ tptp.member_Product_unit X2) C2)))) (= (@ (@ tptp.member5877623283571906838t_unit A4) (@ (@ tptp.image_4019945301284682565t_unit _let_1) B5)) (and (@ (@ tptp.member_Product_unit X2) A4) (@ (@ tptp.member5877623283571906838t_unit (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) B5)))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_se5479201105039950375at_nat) (X2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.insert9069300056098147895at_nat X2))) (=> (forall ((C2 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat C2) B5) (not (@ (@ tptp.member8757157785044589968at_nat X2) C2)))) (= (@ (@ tptp.member6273874620674182256at_nat A4) (@ (@ tptp.image_4303274092540115909at_nat _let_1) B5)) (and (@ (@ tptp.member8757157785044589968at_nat X2) A4) (@ (@ tptp.member6273874620674182256at_nat (@ (@ tptp.minus_3314409938677909166at_nat A4) (@ _let_1 tptp.bot_bo228742789529271731at_nat))) B5)))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_se7855581050983116737at_nat) (X2 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.insert8211810215607154385at_nat X2))) (=> (forall ((C2 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat C2) B5) (not (@ (@ tptp.member8440522571783428010at_nat X2) C2)))) (= (@ (@ tptp.member2643936169264416010at_nat A4) (@ (@ tptp.image_3684629450409544005at_nat _let_1) B5)) (and (@ (@ tptp.member8440522571783428010at_nat X2) A4) (@ (@ tptp.member2643936169264416010at_nat (@ (@ tptp.minus_1356011639430497352at_nat A4) (@ _let_1 tptp.bot_bo2099793752762293965at_nat))) B5)))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_o) (X2 Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o X2))) (=> (forall ((C2 tptp.set_o)) (=> (@ (@ tptp.member_set_o C2) B5) (not (@ (@ tptp.member_o X2) C2)))) (= (@ (@ tptp.member_set_o A4) (@ (@ tptp.image_set_o_set_o _let_1) B5)) (and (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_set_o (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o))) B5)))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_nat) (X2 tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.insert_nat X2))) (=> (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.member_set_nat C2) B5) (not (@ (@ tptp.member_nat X2) C2)))) (= (@ (@ tptp.member_set_nat A4) (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5)) (and (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_set_nat (@ (@ tptp.minus_minus_set_nat A4) (@ _let_1 tptp.bot_bot_set_nat))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_char tptp.top_top_set_char) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_char tptp.top_top_set_char) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_char tptp.top_top_set_char) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_rat tptp.top_top_set_rat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_rat tptp.top_top_set_rat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_rat tptp.top_top_set_rat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_int tptp.top_top_set_int) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_int tptp.top_top_set_int) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_int tptp.top_top_set_int) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_nat tptp.top_top_set_nat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.order_1878278401035043452at_nat (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) X2)) tptp.bot_bo4948859079157340979at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.int)) (@ (@ tptp.order_4471489696718655927on_int (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X2) X2)) tptp.bot_bo1796632182523588997nt_int))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.order_5942792088423767318at_nat (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) X2)) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit)) (@ (@ tptp.order_888282469287196226t_unit (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit X2) X2)) tptp.bot_bo1654022762305692595t_unit))))
% 3.35/4.36  (assert (forall ((X2 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.order_2711500226769404828at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) X2)) tptp.bot_bo7193250159860175667at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.order_7480980593162297270at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) X2)) tptp.bot_bo5327735625951526323at_nat))))
% 3.35/4.36  (assert (forall ((X2 Bool)) (@ (@ tptp.order_6238756238976269133r_on_o (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o X2) X2)) tptp.bot_bo7073875226086086771od_o_o))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat)) (@ (@ tptp.order_4473980167227706203on_nat (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X2) X2)) tptp.bot_bo2099793752762293965at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.total_5117575981256876747at_nat (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) X2)) tptp.bot_bo4948859079157340979at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.int)) (@ (@ tptp.total_on_int (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X2) X2)) tptp.bot_bo1796632182523588997nt_int))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.total_7212417256332265445at_nat (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) X2)) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit)) (@ (@ tptp.total_5665700600833547665t_unit (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit X2) X2)) tptp.bot_bo1654022762305692595t_unit))))
% 3.35/4.36  (assert (forall ((X2 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.total_1513685709984341995at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) X2)) tptp.bot_bo7193250159860175667at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.total_3592101749530773125at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) X2)) tptp.bot_bo5327735625951526323at_nat))))
% 3.35/4.36  (assert (forall ((X2 Bool)) (@ (@ tptp.total_on_o (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o X2) X2)) tptp.bot_bo7073875226086086771od_o_o))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat)) (@ (@ tptp.total_on_nat (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X2) X2)) tptp.bot_bo2099793752762293965at_nat))))
% 3.35/4.36  (assert (= tptp.order_8308734813930759573at_nat (lambda ((P4 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.collec7872792499061297490at_nat (@ tptp.produc9020218426428501292_nat_o (lambda ((A5 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A5) B4)) (@ (@ tptp.produc6258361011560675592at_nat A6) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A6))) (@ (@ P4 A5) B4))))))))
% 3.35/4.36  (assert (= tptp.order_8809246210994205103at_nat (lambda ((P4 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A5) B4)) (@ (@ tptp.produc7726050920695093128at_nat A6) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A6))) (@ (@ P4 A5) B4))))))))
% 3.35/4.36  (assert (= tptp.order_1962693441708344834of_nat (lambda ((P4 (-> tptp.nat tptp.nat Bool)) (A6 tptp.set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) (and (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A5) B4)) (@ (@ tptp.produc457027306803732586at_nat A6) (lambda ((Uu tptp.nat)) A6))) (@ (@ P4 A5) B4))))))))
% 3.35/4.36  (assert (= tptp.order_1960202971199294558of_int (lambda ((P4 (-> tptp.int tptp.int Bool)) (A6 tptp.set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) (and (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A5) B4)) (@ (@ tptp.produc1453890548195736866nt_int A6) (lambda ((Uu tptp.int)) A6))) (@ (@ P4 A5) B4))))))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc5506539147108004339t_unit (@ (@ tptp.insert_nat A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_Product_unit B) B5))) (@ (@ tptp.insert6804906068341198690t_unit (@ (@ tptp.produc3434450474625521892t_unit A) B)) (@ (@ tptp.sup_su4209953369189666580t_unit (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_Product_unit B) B5)))) (@ _let_1 (lambda ((Uu tptp.nat)) B5))))))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_nat_o (@ (@ tptp.insert_nat A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_o B) B5))) (@ (@ tptp.insert2233377226759017069_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.sup_su503371503184139039_nat_o (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_o B) B5)))) (@ _let_1 (lambda ((Uu tptp.nat)) B5))))))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit) (B tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.produc6875377002296012693it_nat (@ (@ tptp.insert_Product_unit A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_nat B) B5))) (@ (@ tptp.insert6879346373837673660it_nat (@ (@ tptp.produc4803288329813530246it_nat A) B)) (@ (@ tptp.sup_su1639320892072265582it_nat (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_nat B) B5)))) (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))))))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit) (B tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6121607364029222536t_unit (@ (@ tptp.insert_Product_unit A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_Product_unit B) B5))) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit A) B)) (@ (@ tptp.sup_su6481247232241170203t_unit (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_Product_unit B) B5)))) (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))))))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit) (B Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.produc4996980317674386579unit_o (@ (@ tptp.insert_Product_unit A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_o B) B5))) (@ (@ tptp.insert3586912282507785154unit_o (@ (@ tptp.produc8487917018914037602unit_o A) B)) (@ (@ tptp.sup_su2851927382625014182unit_o (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_o B) B5)))) (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))))))))
% 3.35/4.36  (assert (forall ((A Bool) (A4 tptp.set_o) (B tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.product_Sigma_o_nat (@ (@ tptp.insert_o A) A4)))) (= (@ _let_1 (lambda ((Uu Bool)) (@ (@ tptp.insert_nat B) B5))) (@ (@ tptp.insert7948214739558299847_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.sup_su8679140417860611193_o_nat (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) (@ (@ tptp.insert_nat B) B5)))) (@ _let_1 (lambda ((Uu Bool)) B5))))))))
% 3.35/4.36  (assert (forall ((A Bool) (A4 tptp.set_o) (B tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc411009820408249917t_unit (@ (@ tptp.insert_o A) A4)))) (= (@ _let_1 (lambda ((Uu Bool)) (@ (@ tptp.insert_Product_unit B) B5))) (@ (@ tptp.insert9112848208840649964t_unit (@ (@ tptp.produc3901946521647900940t_unit A) B)) (@ (@ tptp.sup_su4058753791541417424t_unit (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) (@ (@ tptp.insert_Product_unit B) B5)))) (@ _let_1 (lambda ((Uu Bool)) B5))))))))
% 3.35/4.36  (assert (forall ((A Bool) (A4 tptp.set_o) (B Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_o (@ (@ tptp.insert_o A) A4)))) (= (@ _let_1 (lambda ((Uu Bool)) (@ (@ tptp.insert_o B) B5))) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.sup_su5769328420594410459od_o_o (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) (@ (@ tptp.insert_o B) B5)))) (@ _let_1 (lambda ((Uu Bool)) B5))))))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.num) (B5 tptp.set_num)) (let ((_let_1 (@ tptp.produc6237731129814287028at_num (@ (@ tptp.insert_nat A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_num B) B5))) (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.sup_su2042722026077122175at_num (@ (@ tptp.produc6237731129814287028at_num A4) (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_num B) B5)))) (@ _let_1 (lambda ((Uu tptp.nat)) B5))))))))
% 3.35/4.36  (assert (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.produc1453890548195736866nt_int (@ (@ tptp.insert_int A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.int)) (@ (@ tptp.insert_int B) B5))) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.sup_su6024340866399070445nt_int (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) (@ (@ tptp.insert_int B) B5)))) (@ _let_1 (lambda ((Uu tptp.int)) B5))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_char) (B5 (-> tptp.product_unit tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_char A4) (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_char) (B5 (-> Bool tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_char A4) (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_char) (B5 (-> tptp.nat tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_char A4) (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_rat) (B5 (-> tptp.product_unit tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_rat A4) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_rat) (B5 (-> Bool tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_rat A4) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_rat) (B5 (-> tptp.nat tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_rat A4) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_int) (B5 (-> tptp.product_unit tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_int A4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_int) (B5 (-> Bool tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_int A4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_int) (B5 (-> tptp.nat tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_int A4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.nat tptp.set_nat)) (I3 tptp.set_nat)) (exists ((F5 (-> tptp.nat tptp.product_prod_nat_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F5) _let_1) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F5) _let_1)) (@ (@ tptp.produc457027306803732586at_nat I3) A4)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.basic_1274512288150691911at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.basic_3661821009137050567at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.basic_fsts_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.basic_fsts_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.basic_fsts_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (S5 tptp.set_int)) (let ((_let_1 (@ tptp.inf_inf_set_int S5))) (= (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.image_int_nat F) (@ _let_1 (@ tptp.collect_int P2)))) (@ (@ tptp.image_int_nat G) (@ _let_1 (@ tptp.collect_int (lambda ((X4 tptp.int)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (S5 tptp.set_int)) (let ((_let_1 (@ tptp.inf_inf_set_int S5))) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_int (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_int (@ (@ tptp.image_int_int F) (@ _let_1 (@ tptp.collect_int P2)))) (@ (@ tptp.image_int_int G) (@ _let_1 (@ tptp.collect_int (lambda ((X4 tptp.int)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_rat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_rat (@ (@ tptp.image_nat_rat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_nat_rat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.image_nat_nat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_nat_nat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_int (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_int (@ (@ tptp.image_nat_int F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_nat_int G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.produc859450856879609959at_nat)) (G (-> tptp.nat tptp.produc859450856879609959at_nat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_3276603626957510736at_nat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.image_3276603626957510736at_nat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_3276603626957510736at_nat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (G (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (S5 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.inf_in2269163501485487111nt_int S5))) (= (@ (@ tptp.image_8858061497167895027at_nat (lambda ((X4 tptp.product_prod_int_int)) (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.image_8858061497167895027at_nat F) (@ _let_1 (@ tptp.collec213857154873943460nt_int P2)))) (@ (@ tptp.image_8858061497167895027at_nat G) (@ _let_1 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (G (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (S5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat S5))) (= (@ (@ tptp.image_1119892238107900587at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.image_1119892238107900587at_nat F) (@ _let_1 (@ tptp.collec3392354462482085612at_nat P2)))) (@ (@ tptp.image_1119892238107900587at_nat G) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.produc3843707927480180839at_nat)) (G (-> tptp.nat tptp.produc3843707927480180839at_nat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_2499013659892586576at_nat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_Pro3594990065127090477at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.image_2499013659892586576at_nat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_2499013659892586576at_nat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (G (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (S5 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.inf_in2269163501485487111nt_int S5))) (= (@ (@ tptp.image_6029125644611338739at_nat (lambda ((X4 tptp.product_prod_int_int)) (@ (@ (@ tptp.if_Pro3594990065127090477at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.image_6029125644611338739at_nat F) (@ _let_1 (@ tptp.collec213857154873943460nt_int P2)))) (@ (@ tptp.image_6029125644611338739at_nat G) (@ _let_1 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (not (@ P2 X4)))))))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6654316230217496229at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_3876558564303283877at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7260680879217540773at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7364710425340685989at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_rat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ (@ tptp.inf_inf_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.inf_inf_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_rat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ (@ tptp.sup_sup_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat G) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.sup_sup_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int G) A4))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_o) (B5 (-> tptp.product_unit tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_o A4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_Product_unit) (B5 (-> Bool tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_o A4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_Product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_o) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_o A4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat A4) (@ B5 X4)))) C3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su6327502436637775413at_nat A4) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_o)) (B5 tptp.set_o)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_o)) (B5 tptp.set_o)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_o)) (B5 tptp.set_o)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ A4 X4)) B5))) C3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat A4) C3))) B5)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_4592875511192039216at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_7288820656315755647at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_8493167801588156084at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5803077947706746251at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_1087905878993176368at_nat B5))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ B5 A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_5172358348707908735at_nat B5))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ B5 A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.inj_on20428373856169009nteger (@ tptp.produc6499014454317279255nteger F)) tptp.top_to2363841527343591755nteger) (@ (@ tptp.inj_on1158064722259180589nteger F) tptp.top_to4645266643341252675nteger))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_7178329752028323786at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5423882813909314213at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7979982168039674559at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert9069300056098147895at_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_3617315916088684441at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_7077428525161401678at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert9069300056098147895at_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((B5 (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer)) (= (@ (@ tptp.inj_on20428373856169009nteger (@ tptp.produc6499014454317279255nteger F)) (@ (@ tptp.produc5882431272649516420nteger tptp.top_to4645266643341252675nteger) (lambda ((Uu tptp.code_integer)) A4))) (@ (@ tptp.inj_on1158064722259180589nteger F) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.insert_int A))) (let ((_let_2 (@ tptp.inj_on_int_nat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_int_nat F) (@ (@ tptp.minus_minus_set_int A4) (@ _let_1 tptp.bot_bot_set_int)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.insert_int A))) (let ((_let_2 (@ tptp.inj_on_int_int F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_int_int F) (@ (@ tptp.minus_minus_set_int A4) (@ _let_1 tptp.bot_bot_set_int)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit Bool)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ tptp.inj_on8854722734121536060unit_o F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_Product_unit_o F) (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ tptp.inj_on8430439091780834860it_nat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_875570014554754200it_nat F) (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.int)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ tptp.inj_on8427948621271784584it_int F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_873079544045703924it_int F) (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit)))))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ tptp.inj_on_o_o F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_o_o F) (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o)))))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ tptp.inj_on_o_nat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_o_nat F) (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o)))))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ tptp.inj_on_o_int F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_o_int F) (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ tptp.inj_on_nat_rat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_rat (@ F A)) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.minus_minus_set_nat A4) (@ _let_1 tptp.bot_bot_set_nat)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ tptp.inj_on_nat_o F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_nat_o F) (@ (@ tptp.minus_minus_set_nat A4) (@ _let_1 tptp.bot_bot_set_nat)))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) (@ (@ tptp.sup_sup_set_nat A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) (@ (@ tptp.sup_sup_set_nat A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) (@ (@ tptp.sup_sup_set_nat A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) (@ (@ tptp.sup_sup_set_int A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) (@ (@ tptp.sup_sup_set_int A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (J3 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.sup_sup_set_nat I3) J3)) C3) (@ (@ tptp.sup_su6327502436637775413at_nat (@ (@ tptp.produc457027306803732586at_nat I3) C3)) (@ (@ tptp.produc457027306803732586at_nat J3) C3)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (J3 tptp.set_Pr1261947904930325089at_nat) (C3 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.produc2761391749766926216at_nat (@ (@ tptp.sup_su6327502436637775413at_nat I3) J3)) C3) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.produc2761391749766926216at_nat I3) C3)) (@ (@ tptp.produc2761391749766926216at_nat J3) C3)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_se7855581050983116737at_nat) (J3 tptp.set_se7855581050983116737at_nat) (C3 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (= (@ (@ tptp.produc7726050920695093128at_nat (@ (@ tptp.sup_su3642409539654194069at_nat I3) J3)) C3) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.produc7726050920695093128at_nat I3) C3)) (@ (@ tptp.produc7726050920695093128at_nat J3) C3)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (J3 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.inf_inf_set_nat I3) J3)) C3) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.produc457027306803732586at_nat I3) C3)) (@ (@ tptp.produc457027306803732586at_nat J3) C3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.inj_on_nat_rat G) B5) (=> (= (@ (@ tptp.inf_inf_set_rat (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.image_nat_rat G) B5)) tptp.bot_bot_set_rat) (@ (@ tptp.inj_on_nat_rat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_rat (@ (@ tptp.member_nat X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.inj_on_nat_int G) B5) (=> (= (@ (@ tptp.inf_inf_set_int (@ (@ tptp.image_nat_int F) A4)) (@ (@ tptp.image_nat_int G) B5)) tptp.bot_bot_set_int) (@ (@ tptp.inj_on_nat_int (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.member_nat X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.inj_on_int_int G) B5) (=> (= (@ (@ tptp.inf_inf_set_int (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.image_int_int G) B5)) tptp.bot_bot_set_int) (@ (@ tptp.inj_on_int_int (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_int (@ (@ tptp.member_int X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_int A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (G (-> Bool tptp.product_unit)) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on4268752236855399398t_unit F) A4) (=> (@ (@ tptp.inj_on4268752236855399398t_unit G) B5) (=> (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ (@ tptp.image_o_Product_unit G) B5)) tptp.bot_bo3957492148770167129t_unit) (@ (@ tptp.inj_on4268752236855399398t_unit (lambda ((X4 Bool)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_o X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_o A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on7061601236592826506t_unit F) A4) (=> (@ (@ tptp.inj_on7061601236592826506t_unit G) B5) (=> (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ (@ tptp.image_8730104196221521654t_unit G) B5)) tptp.bot_bo3957492148770167129t_unit) (@ (@ tptp.inj_on7061601236592826506t_unit (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_nat X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on4178023183795006766t_unit F) A4) (=> (@ (@ tptp.inj_on4178023183795006766t_unit G) B5) (=> (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ (@ tptp.image_5846526143423701914t_unit G) B5)) tptp.bot_bo3957492148770167129t_unit) (@ (@ tptp.inj_on4178023183795006766t_unit (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_int X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_int A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (G (-> Bool Bool)) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) A4) (=> (@ (@ tptp.inj_on_o_o G) B5) (=> (= (@ (@ tptp.inf_inf_set_o (@ (@ tptp.image_o_o F) A4)) (@ (@ tptp.image_o_o G) B5)) tptp.bot_bot_set_o) (@ (@ tptp.inj_on_o_o (lambda ((X4 Bool)) (let ((_let_1 (@ (@ tptp.member_o X4) A4))) (and (=> _let_1 (@ F X4)) (=> (not _let_1) (@ G X4)))))) (@ (@ tptp.sup_sup_set_o A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (G (-> tptp.nat Bool)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (@ (@ tptp.inj_on_nat_o G) B5) (=> (= (@ (@ tptp.inf_inf_set_o (@ (@ tptp.image_nat_o F) A4)) (@ (@ tptp.image_nat_o G) B5)) tptp.bot_bot_set_o) (@ (@ tptp.inj_on_nat_o (lambda ((X4 tptp.nat)) (let ((_let_1 (@ (@ tptp.member_nat X4) A4))) (and (=> _let_1 (@ F X4)) (=> (not _let_1) (@ G X4)))))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (G (-> tptp.int Bool)) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_o F) A4) (=> (@ (@ tptp.inj_on_int_o G) B5) (=> (= (@ (@ tptp.inf_inf_set_o (@ (@ tptp.image_int_o F) A4)) (@ (@ tptp.image_int_o G) B5)) tptp.bot_bot_set_o) (@ (@ tptp.inj_on_int_o (lambda ((X4 tptp.int)) (let ((_let_1 (@ (@ tptp.member_int X4) A4))) (and (=> _let_1 (@ F X4)) (=> (not _let_1) (@ G X4)))))) (@ (@ tptp.sup_sup_set_int A4) B5)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (G (-> Bool tptp.nat)) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_nat F) A4) (=> (@ (@ tptp.inj_on_o_nat G) B5) (=> (= (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.image_o_nat F) A4)) (@ (@ tptp.image_o_nat G) B5)) tptp.bot_bot_set_nat) (@ (@ tptp.inj_on_o_nat (lambda ((X4 Bool)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_o A4) B5)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.produc457027306803732586at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.sup_su6327502436637775413at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.produc2761391749766926216at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.sup_su718114333110466843at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_se7855581050983116737at_nat) (A4 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (let ((_let_1 (@ tptp.produc7726050920695093128at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.sup_su3642409539654194069at_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.sup_sup_set_nat A4) B5)) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2761391749766926216at_nat (@ (@ tptp.sup_su6327502436637775413at_nat A4) B5)) (lambda ((Uu tptp.product_prod_nat_nat)) C3)) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.produc2761391749766926216at_nat A4) (lambda ((Uu tptp.product_prod_nat_nat)) C3))) (@ (@ tptp.produc2761391749766926216at_nat B5) (lambda ((Uu tptp.product_prod_nat_nat)) C3))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (B5 tptp.set_se7855581050983116737at_nat) (C3 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.produc7726050920695093128at_nat (@ (@ tptp.sup_su3642409539654194069at_nat A4) B5)) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) C3)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) C3))) (@ (@ tptp.produc7726050920695093128at_nat B5) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) C3))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_Pr1261947904930325089at_nat) (D tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in4302113700860409141at_nat (@ (@ tptp.produc2761391749766926216at_nat A4) (lambda ((Uu tptp.product_prod_nat_nat)) B5))) (@ (@ tptp.produc2761391749766926216at_nat C3) (lambda ((Uu tptp.product_prod_nat_nat)) D))) (@ (@ tptp.produc2761391749766926216at_nat (@ (@ tptp.inf_in2572325071724192079at_nat A4) C3)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat B5) D))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat) (D tptp.set_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc457027306803732586at_nat C3) (lambda ((Uu tptp.nat)) D))) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.inf_inf_set_nat A4) C3)) (lambda ((Uu tptp.nat)) (@ (@ tptp.inf_inf_set_nat B5) D))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.produc457027306803732586at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.inf_inf_set_nat A4) B5)) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (let ((_let_2 (@ tptp.inj_on_nat_rat F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_rat (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat B5) A4))) tptp.bot_bot_set_rat)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ tptp.inj_on_nat_int F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_int (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat B5) A4))) tptp.bot_bot_set_int)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ tptp.inj_on_int_int F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_int A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_int (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int B5) A4))) tptp.bot_bot_set_int)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ tptp.inj_on_nat_nat F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_nat (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat B5) A4))) tptp.bot_bot_set_nat)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ tptp.inj_on_int_nat F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_int A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_nat (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int B5) A4))) tptp.bot_bot_set_nat)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc859450856879609959at_nat tptp.product_unit)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_8487516615895632747t_unit F))) (let ((_let_2 (@ tptp.inj_on1041401102088758999t_unit F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc859450856879609959at_nat Bool)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_3275415580317762038_nat_o F))) (let ((_let_2 (@ tptp.inj_on991952103320416098_nat_o F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_o (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bot_set_o)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc859450856879609959at_nat tptp.nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6160980552072806642at_nat F))) (let ((_let_2 (@ tptp.inj_on490725545064285830at_nat F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_nat (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bot_set_nat)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7082456443403096939t_unit F))) (let ((_let_2 (@ tptp.inj_on3108384905993948887t_unit F))) (= (@ _let_2 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ _let_1 (@ (@ tptp.minus_3314409938677909166at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_3314409938677909166at_nat B5) A4))) tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6706873702294942047at_nat F))) (let ((_let_2 (@ tptp.inj_on229527429751349963at_nat F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bo2099793752762293965at_nat)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_set_int)) (=> (@ (@ tptp.inj_on_int_nat F) (@ tptp.comple3221217463730067765et_int A4)) (@ (@ tptp.inj_on1389844818000382683et_nat (@ tptp.image_int_nat F)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_set_int)) (=> (@ (@ tptp.inj_on_int_int F) (@ tptp.comple3221217463730067765et_int A4)) (@ (@ tptp.inj_on6435365835345961783et_int (@ tptp.image_int_int F)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) (@ tptp.comple7399068483239264473et_nat A4)) (@ (@ tptp.inj_on1096178645466186887et_rat (@ tptp.image_nat_rat F)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) (@ tptp.comple7399068483239264473et_nat A4)) (@ (@ tptp.inj_on4604407203859583615et_nat (@ tptp.image_nat_nat F)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) (@ tptp.comple7399068483239264473et_nat A4)) (@ (@ tptp.inj_on426556184350386907et_int (@ tptp.image_nat_int F)) A4))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_3)) (@ tptp.complete_Sup_Sup_nat _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_3)) (@ tptp.complete_Sup_Sup_nat _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_3)) (@ tptp.comple4687483117567863418t_unit _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_3)) (@ tptp.comple4687483117567863418t_unit _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_3)) (@ tptp.comple4687483117567863418t_unit _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_2) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat _let_3)) (@ tptp.comple7399068483239264473et_nat _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_3)) (@ tptp.complete_Inf_Inf_nat _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_3)) (@ tptp.complete_Inf_Inf_nat _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_3)) (@ tptp.comple2584293577114468500t_unit _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_3)) (@ tptp.comple2584293577114468500t_unit _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_3)) (@ tptp.comple2584293577114468500t_unit _let_2))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_2) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat _let_3)) (@ tptp.comple7806235888213564991et_nat _let_2))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_rat (@ _let_1 A4)) (@ _let_1 B5)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5168914502847457605at_nat F))) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) C3) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) C3) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_rat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.product_prod_nat_nat)) (A4 tptp.set_char) (B5 tptp.set_char)) (let ((_let_1 (@ tptp.image_8382823969816519465at_nat F))) (=> (@ (@ tptp.inj_on1021528964648911549at_nat F) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.inf_inf_set_char A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.product_prod_nat_nat)) (A4 tptp.set_rat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_9175953278516507234at_nat F))) (=> (@ (@ tptp.inj_on8867882244352206326at_nat F) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_rat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_5846123807819985514at_nat F))) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_prod_nat_nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_8883965892284119310at_nat F))) (=> (@ (@ tptp.inj_on8575894858119818402at_nat F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.list_nat tptp.product_prod_nat_nat)) (A4 tptp.set_list_nat) (B5 tptp.set_list_nat)) (let ((_let_1 (@ tptp.image_2795870212791037530at_nat F))) (=> (@ (@ tptp.inj_on7574789179980466158at_nat F) tptp.top_top_set_list_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_list_nat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ (@ tptp.inj_on1096178645466186887et_rat (@ tptp.image_nat_rat F)) (@ tptp.pow_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ (@ tptp.inj_on4604407203859583615et_nat (@ tptp.image_nat_nat F)) (@ tptp.pow_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ (@ tptp.inj_on426556184350386907et_int (@ tptp.image_nat_int F)) (@ tptp.pow_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ (@ tptp.inj_on1389844818000382683et_nat (@ tptp.image_int_nat F)) (@ tptp.pow_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ (@ tptp.inj_on6435365835345961783et_int (@ tptp.image_int_int F)) (@ tptp.pow_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ (@ tptp.inj_on1096178645466186887et_rat (@ tptp.image_nat_rat F)) (@ tptp.finite_Fpow_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ (@ tptp.inj_on4604407203859583615et_nat (@ tptp.image_nat_nat F)) (@ tptp.finite_Fpow_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ (@ tptp.inj_on426556184350386907et_int (@ tptp.image_nat_int F)) (@ tptp.finite_Fpow_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ (@ tptp.inj_on1389844818000382683et_nat (@ tptp.image_int_nat F)) (@ tptp.finite_Fpow_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ (@ tptp.inj_on6435365835345961783et_int (@ tptp.image_int_int F)) (@ tptp.finite_Fpow_int A4)))))
% 3.35/4.36  (assert (forall ((F3 (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat F3) F)) A4) (@ (@ tptp.inj_on_nat_o F) A4))))
% 3.35/4.36  (assert (forall ((F3 (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int F3) F)) A4) (@ (@ tptp.inj_on_int_nat F) A4))))
% 3.35/4.36  (assert (forall ((F3 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat F3) F)) A4) (@ (@ tptp.inj_on_nat_nat F) A4))))
% 3.35/4.36  (assert (forall ((F3 (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int F3) F)) A4) (@ (@ tptp.inj_on_int_int F) A4))))
% 3.35/4.36  (assert (forall ((F3 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer)) (=> (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger F3) F)) A4) (@ (@ tptp.inj_on108595395805848489nteger F) A4))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6654316230217496229at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_3876558564303283877at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7260680879217540773at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7364710425340685989at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.product_unit)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_8487516615895632747t_unit M))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4))) (@ tptp.comple4687483117567863418t_unit (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7082456443403096939t_unit M))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4))) (@ tptp.comple4687483117567863418t_unit (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_1384942819424619199at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7979982168039674559at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.product_unit)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_8487516615895632747t_unit M))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4))) (@ tptp.comple2584293577114468500t_unit (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7082456443403096939t_unit M))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4))) (@ tptp.comple2584293577114468500t_unit (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5)) (@ (@ tptp.sup_sup_set_rat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5)) (@ (@ tptp.sup_sup_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5)) (@ (@ tptp.sup_sup_set_int (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5)) (@ (@ tptp.sup_sup_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5)) (@ (@ tptp.sup_sup_set_int (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6321802852832981957at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (@ (@ tptp.sup_su718114333110466843at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_7637461350386011077at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_5653576389946358725at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5)) (@ (@ tptp.sup_su718114333110466843at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_960689587819713477at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_1384942819424619199at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7979982168039674559at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (X5 tptp.set_se5479201105039950375at_nat)) (@ (@ tptp.inj_on1468925692805905105at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat X4) (@ F X4)))) X5)))
% 3.35/4.36  (assert (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (X5 tptp.set_se7855581050983116737at_nat)) (@ (@ tptp.inj_on699426629415580343at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat X4) (@ F X4)))) X5)))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.num)) (X5 tptp.set_nat)) (@ (@ tptp.inj_on6246296710604522312at_num (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_num X4) (@ F X4)))) X5)))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (X5 tptp.set_nat)) (@ (@ tptp.inj_on5538052773655684606at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat X4) (@ F X4)))) X5)))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (X5 tptp.set_int)) (@ (@ tptp.inj_on5397397550511676250nt_int (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int X4) (@ F X4)))) X5)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat)) (=> (forall ((X tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (=> (@ (@ tptp.member8757157785044589968at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X) Y)) R) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat Y) X)) R)))))) (@ (@ tptp.total_1513685709984341995at_nat A4) R))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o)) (=> (forall ((X Bool) (Y Bool)) (=> (@ (@ tptp.member_o X) A4) (=> (@ (@ tptp.member_o Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X) Y)) R) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o Y) X)) R)))))) (@ (@ tptp.total_on_o A4) R))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat)) (=> (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X) A4) (=> (@ (@ tptp.member6273874620674182256at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X) Y)) R) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat Y) X)) R)))))) (@ (@ tptp.total_5117575981256876747at_nat A4) R))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X) A4) (=> (@ (@ tptp.member2643936169264416010at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X) Y)) R) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat Y) X)) R)))))) (@ (@ tptp.total_7212417256332265445at_nat A4) R))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (=> (@ (@ tptp.member_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat Y) X)) R)))))) (@ (@ tptp.total_on_nat A4) R))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.member_int X) A4) (=> (@ (@ tptp.member_int Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int Y) X)) R)))))) (@ (@ tptp.total_on_int A4) R))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat)) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (=> (@ (@ tptp.member8440522571783428010at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X) Y)) R) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat Y) X)) R)))))) (@ (@ tptp.total_3592101749530773125at_nat A4) R))))
% 3.35/4.36  (assert (= tptp.total_5117575981256876747at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (R5 tptp.set_Pr7459493094073627847at_nat)) (forall ((X4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X4) A6) (forall ((Y5 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R5) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat Y5) X4)) R5))))))))))
% 3.35/4.36  (assert (= tptp.total_7212417256332265445at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (R5 tptp.set_Pr4329608150637261639at_nat)) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) A6) (forall ((Y5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R5) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat Y5) X4)) R5))))))))))
% 3.35/4.36  (assert (= tptp.total_on_nat (lambda ((A6 tptp.set_nat) (R5 tptp.set_Pr1261947904930325089at_nat)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A6) (forall ((Y5 tptp.nat)) (=> (@ (@ tptp.member_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R5) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat Y5) X4)) R5))))))))))
% 3.35/4.36  (assert (= tptp.total_on_int (lambda ((A6 tptp.set_int) (R5 tptp.set_Pr958786334691620121nt_int)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A6) (forall ((Y5 tptp.int)) (=> (@ (@ tptp.member_int Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R5) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int Y5) X4)) R5))))))))))
% 3.35/4.36  (assert (= tptp.total_3592101749530773125at_nat (lambda ((A6 tptp.set_Pr1261947904930325089at_nat) (R5 tptp.set_Pr8693737435421807431at_nat)) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) A6) (forall ((Y5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) R5) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat Y5) X4)) R5))))))))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (= (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (= (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_sup_set_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit A4) tptp.top_top_set_o)) (@ (@ tptp.sup_sup_Product_unit (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_inf_set_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit A4) tptp.top_top_set_o)) (@ (@ tptp.inf_inf_Product_unit (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool))) (=> (@ (@ tptp.inj_on_o_o F) tptp.top_top_set_o) (@ (@ tptp.inj_on_nat_o_nat_o (@ tptp.comp_o_o_nat F)) tptp.top_top_set_nat_o))))
% 3.35/4.36  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (@ (@ tptp.inj_on3998011822705705585nteger F) tptp.top_to3804862627464599871nteger) (@ (@ tptp.inj_on5500977043710295017nteger (@ tptp.comp_C8797469213163452608nteger F)) tptp.top_to3639204395728341691nteger))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.num))) (=> (@ (@ tptp.inj_on_nat_num F) tptp.top_top_set_nat) (@ (@ tptp.inj_on5377432224680912883nt_num (@ tptp.comp_nat_num_int F)) tptp.top_top_set_int_nat))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (@ (@ tptp.inj_on2461717442902640625at_nat (@ tptp.comp_nat_nat_nat F)) tptp.top_top_set_nat_nat))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (@ (@ tptp.inj_on856898432580761861nt_nat (@ tptp.comp_int_nat_int F)) tptp.top_top_set_int_int))))
% 3.35/4.36  (assert (= tptp.sup_su718114333110466843at_nat (lambda ((A6 tptp.set_Pr8693737435421807431at_nat) (B6 tptp.set_Pr8693737435421807431at_nat)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (lambda ((B4 Bool)) (@ (@ (@ tptp.if_set1508868558775481357at_nat B4) A6) B6))) tptp.top_top_set_o)))))
% 3.35/4.36  (assert (= tptp.sup_su5525570899277871387at_nat (lambda ((A6 tptp.set_Pr4329608150637261639at_nat) (B6 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat (lambda ((B4 Bool)) (@ (@ (@ tptp.if_set3208018901896979469at_nat B4) A6) B6))) tptp.top_top_set_o)))))
% 3.35/4.36  (assert (= tptp.sup_sup_set_nat (lambda ((A6 tptp.set_nat) (B6 tptp.set_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((B4 Bool)) (@ (@ (@ tptp.if_set_nat B4) A6) B6))) tptp.top_top_set_o)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (= (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (= (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_sup_set_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_2)) (@ tptp.complete_Sup_Sup_nat _let_1)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((A5 tptp.int)) (@ (@ tptp.sup_sup_nat (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_2)) (@ tptp.complete_Sup_Sup_nat _let_1)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((A5 tptp.nat)) (@ (@ tptp.sup_sup_nat (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) A4))) (let ((_let_2 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((A5 tptp.int)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (G (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) A4))) (let ((_let_2 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((A5 tptp.product_unit)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (G (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) A4))) (let ((_let_2 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((A5 Bool)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (lambda ((A5 tptp.nat)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (G (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_2)) (@ tptp.comple4687483117567863418t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((A5 tptp.product_unit)) (@ (@ tptp.sup_sup_Product_unit (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_2)) (@ tptp.comple4687483117567863418t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((A5 Bool)) (@ (@ tptp.sup_sup_Product_unit (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_2)) (@ tptp.comple4687483117567863418t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((A5 tptp.nat)) (@ (@ tptp.sup_sup_Product_unit (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (G (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_8173849991827986510et_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_2) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (= (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat _let_2)) (@ tptp.comple7399068483239264473et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((A5 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_2)) (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((A5 tptp.int)) (@ (@ tptp.inf_inf_nat (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_2)) (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((A5 tptp.nat)) (@ (@ tptp.inf_inf_nat (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) A4))) (let ((_let_2 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((A5 tptp.int)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (G (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) A4))) (let ((_let_2 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((A5 tptp.product_unit)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (G (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) A4))) (let ((_let_2 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((A5 Bool)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((A5 tptp.nat)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (G (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_2)) (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((A5 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_2)) (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((A5 Bool)) (@ (@ tptp.inf_inf_Product_unit (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_2)) (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((A5 tptp.nat)) (@ (@ tptp.inf_inf_Product_unit (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (G (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_8173849991827986510et_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_2) (=> (@ tptp.condit68592940725977398et_nat _let_1) (= (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat _let_2)) (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((A5 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ F A5)) (@ G A5)))) A4))))))))))
% 3.35/4.36  (assert (forall ((P tptp.produc7812382424243267045t_unit)) (@ (@ tptp.member_ref_a (@ tptp.produc473321116828791851t_unit P)) (@ tptp.basic_685971451221398055t_unit P))))
% 3.35/4.36  (assert (forall ((A tptp.ref_a) (P tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.member_ref_a A) (@ tptp.basic_685971451221398055t_unit P)) (= A (@ tptp.produc473321116828791851t_unit P)))))
% 3.35/4.36  (assert (forall ((A tptp.ref_a) (P tptp.produc7812382424243267045t_unit)) (=> (@ (@ tptp.member_ref_a A) (@ tptp.basic_685971451221398055t_unit P)) (= A (@ tptp.produc473321116828791851t_unit P)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_inf_set_nat (@ A4 true)) (@ A4 false)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_nat _let_1))) (=> (= (@ tptp.complete_Sup_Sup_nat _let_1) _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_nat _let_1))) (=> (= (@ tptp.complete_Sup_Sup_nat _let_1) _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_int A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_int _let_1))) (=> (= (@ tptp.complete_Sup_Sup_int _let_1) _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_o A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_int _let_1))) (=> (= (@ tptp.complete_Sup_Sup_int _let_1) _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_int _let_1))) (=> (= (@ tptp.complete_Sup_Sup_int _let_1) _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_int A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (let ((_let_2 (@ tptp.comple2584293577114468500t_unit _let_1))) (=> (= (@ tptp.comple4687483117567863418t_unit _let_1) _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_o A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (let ((_let_2 (@ tptp.comple2584293577114468500t_unit _let_1))) (=> (= (@ tptp.comple4687483117567863418t_unit _let_1) _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (let ((_let_2 (@ tptp.comple2584293577114468500t_unit _let_1))) (=> (= (@ tptp.comple4687483117567863418t_unit _let_1) _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_int A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (let ((_let_2 (@ tptp.comple7806235888213564991et_nat _let_1))) (=> (= (@ tptp.comple7399068483239264473et_nat _let_1) _let_2) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_o A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_set_nat F) A4))) (let ((_let_2 (@ tptp.comple7806235888213564991et_nat _let_1))) (=> (= (@ tptp.comple7399068483239264473et_nat _let_1) _let_2) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.sup_sup_nat (@ F A)) (@ tptp.complete_Sup_Sup_nat _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_nat (@ F A)) (@ tptp.complete_Sup_Sup_nat _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (A Bool)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (A Bool)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_2) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.inf_inf_nat (@ F A)) (@ tptp.complete_Inf_Inf_nat _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_nat (@ F A)) (@ tptp.complete_Inf_Inf_nat _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (A Bool)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (A Bool)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit _let_2)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_2) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat _let_2)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (B5 tptp.set_o) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.member_o A))) (=> (@ (@ tptp.inj_on_o_o F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_o_o F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (B5 tptp.set_o) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.member_o A))) (=> (@ (@ tptp.inj_on_o_nat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_o_nat F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (B5 tptp.set_o) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.member_o A))) (=> (@ (@ tptp.inj_on_o_int F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_o_int F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_rat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_rat (@ F A)) (@ (@ tptp.image_nat_rat F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_o F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_nat_o F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_nat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_nat_nat F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_int F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_nat_int F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int Bool)) (B5 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.member_int A))) (=> (@ (@ tptp.inj_on_int_o F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_int_o F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (B5 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.member_int A))) (=> (@ (@ tptp.inj_on_int_nat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_int_nat F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (B5 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.member_int A))) (=> (@ (@ tptp.inj_on_int_int F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_int_int F) A4)) (@ _let_1 A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (T3 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_rat S5) (@ (@ tptp.image_nat_rat F) T3)) (exists ((U2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat U2) T3) (@ (@ tptp.inj_on_nat_rat F) U2) (= S5 (@ (@ tptp.image_nat_rat F) U2)))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (T3 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat S5) (@ (@ tptp.image_nat_nat F) T3)) (exists ((U2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat U2) T3) (@ (@ tptp.inj_on_nat_nat F) U2) (= S5 (@ (@ tptp.image_nat_nat F) U2)))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_int) (F (-> tptp.nat tptp.int)) (T3 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_int S5) (@ (@ tptp.image_nat_int F) T3)) (exists ((U2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat U2) T3) (@ (@ tptp.inj_on_nat_int F) U2) (= S5 (@ (@ tptp.image_nat_int F) U2)))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (T3 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_nat S5) (@ (@ tptp.image_int_nat F) T3)) (exists ((U2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int U2) T3) (@ (@ tptp.inj_on_int_nat F) U2) (= S5 (@ (@ tptp.image_int_nat F) U2)))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.int)) (T3 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int S5) (@ (@ tptp.image_int_int F) T3)) (exists ((U2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int U2) T3) (@ (@ tptp.inj_on_int_int F) U2) (= S5 (@ (@ tptp.image_int_int F) U2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on8151373323710067377t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_405062704495631173t_unit F) A4)) (not (forall ((X8 tptp.product_unit) (A8 tptp.set_Product_unit)) (=> (not (@ (@ tptp.member_Product_unit X8) A8)) (=> (= A4 (@ (@ tptp.insert_Product_unit X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_405062704495631173t_unit F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on4268752236855399398t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_o_Product_unit F) A4)) (not (forall ((X8 Bool) (A8 tptp.set_o)) (=> (not (@ (@ tptp.member_o X8) A8)) (=> (= A4 (@ (@ tptp.insert_o X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_o_Product_unit F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (X2 tptp.rat) (B5 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (not (@ (@ tptp.member_rat X2) B5)) (=> (= (@ (@ tptp.insert_rat X2) B5) (@ (@ tptp.image_nat_rat F) A4)) (not (forall ((X8 tptp.nat) (A8 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X8) A8)) (=> (= A4 (@ (@ tptp.insert_nat X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_nat_rat F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on7061601236592826506t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (not (forall ((X8 tptp.nat) (A8 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X8) A8)) (=> (= A4 (@ (@ tptp.insert_nat X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_8730104196221521654t_unit F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on4178023183795006766t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (not (forall ((X8 tptp.int) (A8 tptp.set_int)) (=> (not (@ (@ tptp.member_int X8) A8)) (=> (= A4 (@ (@ tptp.insert_int X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_5846526143423701914t_unit F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_Product_unit) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on8854722734121536060unit_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_Product_unit_o F) A4)) (not (forall ((X8 tptp.product_unit) (A8 tptp.set_Product_unit)) (=> (not (@ (@ tptp.member_Product_unit X8) A8)) (=> (= A4 (@ (@ tptp.insert_Product_unit X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_Product_unit_o F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_o_o F) A4)) (not (forall ((X8 Bool) (A8 tptp.set_o)) (=> (not (@ (@ tptp.member_o X8) A8)) (=> (= A4 (@ (@ tptp.insert_o X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_o_o F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_nat_o F) A4)) (not (forall ((X8 tptp.nat) (A8 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X8) A8)) (=> (= A4 (@ (@ tptp.insert_nat X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_nat_o F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_int_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_int_o F) A4)) (not (forall ((X8 tptp.int) (A8 tptp.set_int)) (=> (not (@ (@ tptp.member_int X8) A8)) (=> (= A4 (@ (@ tptp.insert_int X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_int_o F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_Product_unit) (X2 tptp.nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on8430439091780834860it_nat F) A4) (=> (not (@ (@ tptp.member_nat X2) B5)) (=> (= (@ (@ tptp.insert_nat X2) B5) (@ (@ tptp.image_875570014554754200it_nat F) A4)) (not (forall ((X8 tptp.product_unit) (A8 tptp.set_Product_unit)) (=> (not (@ (@ tptp.member_Product_unit X8) A8)) (=> (= A4 (@ (@ tptp.insert_Product_unit X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_875570014554754200it_nat F) A8)))))))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) tptp.top_top_set_o) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_o_o F) A4)) (@ (@ tptp.member_o A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_nat F) tptp.top_top_set_o) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_o_nat F) A4)) (@ (@ tptp.member_o A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_int F) tptp.top_top_set_o) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_o_int F) A4)) (@ (@ tptp.member_o A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char Bool)) (A tptp.char) (A4 tptp.set_char)) (=> (@ (@ tptp.inj_on_char_o F) tptp.top_top_set_char) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_char_o F) A4)) (@ (@ tptp.member_char A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.nat)) (A tptp.char) (A4 tptp.set_char)) (=> (@ (@ tptp.inj_on_char_nat F) tptp.top_top_set_char) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_char_nat F) A4)) (@ (@ tptp.member_char A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.int)) (A tptp.char) (A4 tptp.set_char)) (=> (@ (@ tptp.inj_on_char_int F) tptp.top_top_set_char) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_char_int F) A4)) (@ (@ tptp.member_char A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat Bool)) (A tptp.rat) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_o F) tptp.top_top_set_rat) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_rat_o F) A4)) (@ (@ tptp.member_rat A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.nat)) (A tptp.rat) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_nat F) tptp.top_top_set_rat) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_rat_nat F) A4)) (@ (@ tptp.member_rat A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.int)) (A tptp.rat) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_int F) tptp.top_top_set_rat) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_rat_int F) A4)) (@ (@ tptp.member_rat A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A tptp.nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.member_rat (@ F A)) (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.member_nat A) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char Bool)) (B Bool)) (=> (@ (@ tptp.inj_on_char_o F) tptp.top_top_set_char) (= (@ (@ tptp.member_o B) (@ (@ tptp.image_char_o F) tptp.top_top_set_char)) (exists ((X4 tptp.char)) (and (= B (@ F X4)) (forall ((Y5 tptp.char)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.inj_on_char_nat F) tptp.top_top_set_char) (= (@ (@ tptp.member_nat B) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)) (exists ((X4 tptp.char)) (and (= B (@ F X4)) (forall ((Y5 tptp.char)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.int)) (B tptp.int)) (=> (@ (@ tptp.inj_on_char_int F) tptp.top_top_set_char) (= (@ (@ tptp.member_int B) (@ (@ tptp.image_char_int F) tptp.top_top_set_char)) (exists ((X4 tptp.char)) (and (= B (@ F X4)) (forall ((Y5 tptp.char)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat Bool)) (B Bool)) (=> (@ (@ tptp.inj_on_rat_o F) tptp.top_top_set_rat) (= (@ (@ tptp.member_o B) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)) (exists ((X4 tptp.rat)) (and (= B (@ F X4)) (forall ((Y5 tptp.rat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.inj_on_rat_nat F) tptp.top_top_set_rat) (= (@ (@ tptp.member_nat B) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)) (exists ((X4 tptp.rat)) (and (= B (@ F X4)) (forall ((Y5 tptp.rat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.int)) (B tptp.int)) (=> (@ (@ tptp.inj_on_rat_int F) tptp.top_top_set_rat) (= (@ (@ tptp.member_int B) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)) (exists ((X4 tptp.rat)) (and (= B (@ F X4)) (forall ((Y5 tptp.rat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (B tptp.rat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (B Bool)) (=> (@ (@ tptp.inj_on_nat_o F) tptp.top_top_set_nat) (= (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (B tptp.int)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (G (-> Bool Bool))) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (@ (@ tptp.inj_on_o_o G) (@ (@ tptp.image_nat_o F) A4)) (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (@ (@ tptp.inj_on108595395805848489nteger F) A4) (=> (@ (@ tptp.inj_on3998011822705705585nteger G) (@ (@ tptp.image_2177946750938214461nteger F) A4)) (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.inj_on_nat_nat G) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.num))) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.inj_on_nat_num G) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.inj_on_int_nat G) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4)))))
% 3.35/4.36  (assert (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4) (@ (@ tptp.inj_on_o_o G) (@ (@ tptp.image_nat_o F) A4)))))
% 3.35/4.36  (assert (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer)) (=> (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) A4) (@ (@ tptp.inj_on3998011822705705585nteger G) (@ (@ tptp.image_2177946750938214461nteger F) A4)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4) (@ (@ tptp.inj_on_nat_nat G) (@ (@ tptp.image_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4) (@ (@ tptp.inj_on_nat_num G) (@ (@ tptp.image_int_nat F) A4)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4) (@ (@ tptp.inj_on_int_nat G) (@ (@ tptp.image_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (F3 (-> Bool Bool))) (=> (@ (@ tptp.inj_on_nat_o F) A4) (= (@ (@ tptp.inj_on_o_o F3) (@ (@ tptp.image_nat_o F) A4)) (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat F3) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer) (F3 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (@ (@ tptp.inj_on108595395805848489nteger F) A4) (= (@ (@ tptp.inj_on3998011822705705585nteger F3) (@ (@ tptp.image_2177946750938214461nteger F) A4)) (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger F3) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (F3 (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ (@ tptp.inj_on_nat_nat F3) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat F3) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (F3 (-> tptp.nat tptp.num))) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ (@ tptp.inj_on_nat_num F3) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int F3) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (F3 (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ (@ tptp.inj_on_int_nat F3) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int F3) F)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.inj_on3998011822705705585nteger F) tptp.top_to3804862627464599871nteger) (=> (@ (@ tptp.inj_on108595395805848489nteger G) tptp.top_to4645266643341252675nteger) (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger F) G)) tptp.top_to4645266643341252675nteger)))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool))) (=> (@ (@ tptp.inj_on_o_o F) tptp.top_top_set_o) (=> (@ (@ tptp.inj_on_nat_o G) tptp.top_top_set_nat) (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat F) G)) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (=> (@ (@ tptp.inj_on_nat_nat G) tptp.top_top_set_nat) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat F) G)) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_nat_num F) tptp.top_top_set_nat) (=> (@ (@ tptp.inj_on_int_nat G) tptp.top_top_set_int) (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int F) G)) tptp.top_top_set_int)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (=> (@ (@ tptp.inj_on_int_int G) tptp.top_top_set_int) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int F) G)) tptp.top_top_set_int)))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat A))) (= (@ _let_1 (@ tptp.comple5685304695842803022at_nat B5)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat A))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat B5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.inf_inf_Product_unit A))) (= (@ _let_1 (@ tptp.comple4687483117567863418t_unit B5)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_se6425085446898223655at_nat)) (let ((_let_1 (@ tptp.sup_su718114333110466843at_nat A))) (= (@ _let_1 (@ tptp.comple6332534001959699150at_nat B5)) (@ tptp.comple6332534001959699150at_nat (@ (@ tptp.image_1013614488123988933at_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_se5479201105039950375at_nat)) (let ((_let_1 (@ tptp.sup_su5525570899277871387at_nat A))) (= (@ _let_1 (@ tptp.comple6751905152567503566at_nat B5)) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4303274092540115909at_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.sup_sup_set_nat A))) (= (@ _let_1 (@ tptp.comple7806235888213564991et_nat B5)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.sup_sup_Product_unit A))) (= (@ _let_1 (@ tptp.comple2584293577114468500t_unit B5)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M tptp.nat) (F (-> Bool tptp.nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat M) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_o_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat M) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M tptp.nat) (F (-> tptp.int tptp.nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat M) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M tptp.int) (F (-> Bool tptp.int))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int M) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_o_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M tptp.int) (F (-> tptp.nat tptp.int))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int M) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M tptp.int) (F (-> tptp.int tptp.int))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int M) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M tptp.rat) (F (-> Bool tptp.rat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_rat M) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_o_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_rat M) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M tptp.rat) (F (-> tptp.int tptp.rat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_rat M) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_int_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M tptp.code_integer) (F (-> Bool tptp.code_integer))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3102999989581377725nteger M) (@ F X)))) (@ tptp.condit4933233095834890765nteger (@ (@ tptp.image_o_Code_integer F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M3 tptp.nat) (F (-> Bool tptp.nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_o_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M3 tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M3 tptp.nat) (F (-> tptp.int tptp.nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M3 tptp.int) (F (-> Bool tptp.int))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_o_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M3 tptp.int) (F (-> tptp.nat tptp.int))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M3 tptp.int) (F (-> tptp.int tptp.int))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M3 tptp.rat) (F (-> Bool tptp.rat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_rat M3) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_o_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (M3 tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_rat M3) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (M3 tptp.rat) (F (-> tptp.int tptp.rat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_rat M3) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_int_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (M3 tptp.code_integer) (F (-> Bool tptp.code_integer))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3102999989581377725nteger M3) (@ F X)))) (@ tptp.condit4933233095834890765nteger (@ (@ tptp.image_o_Code_integer F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (M tptp.nat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_o_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (M tptp.nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (M tptp.nat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (M tptp.int)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_o_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (M tptp.int)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (M tptp.int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.rat)) (M tptp.rat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_rat (@ F X)) M))) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_o_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (M tptp.rat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_rat (@ F X)) M))) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.rat)) (M tptp.rat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_rat (@ F X)) M))) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_int_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.code_integer)) (M tptp.code_integer)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3102999989581377725nteger (@ F X)) M))) (@ tptp.condit1118808407379112185nteger (@ (@ tptp.image_o_Code_integer F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5))) (@ (@ tptp.inf_inf_set_rat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5))) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5))) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5168914502847457605at_nat F))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ _let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr7459493094073627847at_nat)) (@ (@ tptp.inj_on3942866938762682161at_nat (@ tptp.produc5456455677105495163at_nat (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (J tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat J) I2)))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.inj_on8430303779476321073at_nat (@ tptp.produc7548845685434208379at_nat (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat J) I2)))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr3280342998896498603um_nat)) (@ (@ tptp.inj_on2339680571444523825at_num (@ tptp.produc5219324331026901427at_num (lambda ((I2 tptp.num) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_num J) I2)))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inj_on8969904277767023793at_nat (@ tptp.produc2626176000494625587at_nat (lambda ((I2 tptp.nat) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_nat J) I2)))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr958786334691620121nt_int)) (@ (@ tptp.inj_on6454360653267994289nt_int (@ tptp.produc4245557441103728435nt_int (lambda ((I2 tptp.int) (J tptp.int)) (@ (@ tptp.product_Pair_int_int J) I2)))) A4)))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_se7855581050983116737at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple5685304695842803022at_nat B5)) A) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat (lambda ((B4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_nat) (A tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7399068483239264473et_nat B5)) A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((B4 tptp.set_nat)) (@ (@ tptp.inf_inf_set_nat B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_Product_unit) (A tptp.product_unit)) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple4687483117567863418t_unit B5)) A) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((B4 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_se6425085446898223655at_nat) (A tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple6332534001959699150at_nat B5)) A) (@ tptp.comple6332534001959699150at_nat (@ (@ tptp.image_1013614488123988933at_nat (lambda ((B4 tptp.set_Pr8693737435421807431at_nat)) (@ (@ tptp.sup_su718114333110466843at_nat B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_se5479201105039950375at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple6751905152567503566at_nat B5)) A) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4303274092540115909at_nat (lambda ((B4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.sup_su5525570899277871387at_nat B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_nat) (A tptp.set_nat)) (= (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7806235888213564991et_nat B5)) A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((B4 tptp.set_nat)) (@ (@ tptp.sup_sup_set_nat B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_Product_unit) (A tptp.product_unit)) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple2584293577114468500t_unit B5)) A) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((B4 tptp.product_unit)) (@ (@ tptp.sup_sup_Product_unit B4) A))) B5)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_8938366415781434990at_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((A tptp.int) (S2 tptp.set_int) (T2 tptp.set_int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) (@ (@ tptp.inf_inf_set_int S2) T2)) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) S2)) (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) T2)))))
% 3.35/4.36  (assert (forall ((A tptp.rat) (S2 tptp.set_rat) (T2 tptp.set_rat)) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) (@ (@ tptp.inf_inf_set_rat S2) T2)) (@ (@ tptp.inf_inf_set_rat (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) S2)) (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) T2)))))
% 3.35/4.36  (assert (forall ((A tptp.code_integer) (S2 tptp.set_Code_integer) (T2 tptp.set_Code_integer)) (= (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) (@ (@ tptp.inf_in1364745209274528805nteger S2) T2)) (@ (@ tptp.inf_in1364745209274528805nteger (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) S2)) (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) T2)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_525487068563185620at_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_1087905878993176368at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.produc3843707927480180839at_nat) (I3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat A4) I3)))) (=> (@ (@ tptp.member8757157785044589968at_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_8938366415781434990at_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.produc3843707927480180839at_nat) (I3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat A4) I3)))) (=> (@ (@ tptp.member8757157785044589968at_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_se7855581050983116737at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple5685304695842803022at_nat B5)) A4) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat (lambda ((C5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat C5) A4))) B5)))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_set_nat) (A4 tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7399068483239264473et_nat B5)) A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((C5 tptp.set_nat)) (@ (@ tptp.inf_inf_set_nat C5) A4))) B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat A4))) (= (@ _let_1 (@ tptp.comple5685304695842803022at_nat B5)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat A4))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat B5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_se6425085446898223655at_nat)) (let ((_let_1 (@ tptp.sup_su718114333110466843at_nat A4))) (= (@ _let_1 (@ tptp.comple6332534001959699150at_nat B5)) (@ tptp.comple6332534001959699150at_nat (@ (@ tptp.image_1013614488123988933at_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_se5479201105039950375at_nat)) (let ((_let_1 (@ tptp.sup_su5525570899277871387at_nat A4))) (= (@ _let_1 (@ tptp.comple6751905152567503566at_nat B5)) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4303274092540115909at_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.sup_sup_set_nat A4))) (= (@ _let_1 (@ tptp.comple7806235888213564991et_nat B5)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_rat) (A7 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_rat)) (= (exists ((F2 (-> tptp.rat tptp.nat))) (and (@ (@ tptp.inj_on_rat_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat F2) A4)) A7))) (exists ((G3 (-> tptp.nat tptp.rat))) (= (@ (@ tptp.image_nat_rat G3) A7) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (A7 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (exists ((F2 (-> tptp.int tptp.nat))) (and (@ (@ tptp.inj_on_int_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F2) A4)) A7))) (exists ((G3 (-> tptp.nat tptp.int))) (= (@ (@ tptp.image_nat_int G3) A7) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (A7 tptp.set_int)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (exists ((F2 (-> tptp.int tptp.int))) (and (@ (@ tptp.inj_on_int_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F2) A4)) A7))) (exists ((G3 (-> tptp.int tptp.int))) (= (@ (@ tptp.image_int_int G3) A7) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (A7 tptp.set_rat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (exists ((F2 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F2) A4) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F2) A4)) A7))) (exists ((G3 (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_nat G3) A7) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (A7 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (exists ((F2 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F2) A4)) A7))) (exists ((G3 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.image_nat_nat G3) A7) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (A7 tptp.set_int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (exists ((F2 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F2) A4)) A7))) (exists ((G3 (-> tptp.int tptp.nat))) (= (@ (@ tptp.image_int_nat G3) A7) A4))))))
% 3.35/4.36  (assert (forall ((B8 tptp.set_se7855581050983116737at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat A4))) (let ((_let_2 (@ _let_1 (@ tptp.comple1930127330929219688at_nat B8)))) (let ((_let_3 (= B8 tptp.bot_bo3083307316010499117at_nat))) (and (=> _let_3 (= _let_2 A4)) (=> (not _let_3) (= _let_2 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3684629450409544005at_nat _let_1) B8))))))))))
% 3.35/4.36  (assert (forall ((B8 tptp.set_set_nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat A4))) (let ((_let_2 (@ _let_1 (@ tptp.comple7806235888213564991et_nat B8)))) (let ((_let_3 (= B8 tptp.bot_bot_set_set_nat))) (and (=> _let_3 (= _let_2 A4)) (=> (not _let_3) (= _let_2 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B8))))))))))
% 3.35/4.36  (assert (forall ((B8 tptp.set_se7855581050983116737at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat B8)) A4))) (let ((_let_2 (= B8 tptp.bot_bo3083307316010499117at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3684629450409544005at_nat (lambda ((B6 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat B6) A4))) B8)))))))))
% 3.35/4.36  (assert (forall ((B8 tptp.set_set_nat) (A4 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat B8)) A4))) (let ((_let_2 (= B8 tptp.bot_bot_set_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((B6 tptp.set_nat)) (@ (@ tptp.inf_inf_set_nat B6) A4))) B8)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_nat A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_nat A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_nat A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_int A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_int A4) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_nat A4) B5))) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_rat (@ _let_1 A4)) (@ _let_1 B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_nat A4) B5))) (=> (@ (@ tptp.inj_on_nat_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_nat A4) B5))) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_int A4) B5))) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_int _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_int A4) B5))) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_int _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5)) (@ (@ tptp.minus_minus_set_rat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5)) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5)) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5)) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5)) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_less_eq_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_less_eq_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 Bool) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_int (@ F X2)) U) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_less_eq_int (@ F X2)) U) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_less_eq_int (@ F X2)) U) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 Bool) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) U)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ F X2)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_nat U))) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_nat U))) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_nat U))) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 Bool) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_int U))) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_int U))) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_int U))) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 Bool) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (let ((_let_2 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (let ((_let_2 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (let ((_let_2 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_set_nat U))) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple7399068483239264473et_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (@ (@ tptp.ord_less_eq_nat (@ F X2)) (@ tptp.complete_Sup_Sup_nat _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (@ (@ tptp.ord_less_eq_nat (@ F X2)) (@ tptp.complete_Sup_Sup_nat _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ (@ tptp.member_int X2) A4) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (@ (@ tptp.ord_less_eq_nat (@ F X2)) (@ tptp.complete_Sup_Sup_nat _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (@ (@ tptp.ord_less_eq_int (@ F X2)) (@ tptp.complete_Sup_Sup_int _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (@ (@ tptp.ord_less_eq_int (@ F X2)) (@ tptp.complete_Sup_Sup_int _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ (@ tptp.member_int X2) A4) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (@ (@ tptp.ord_less_eq_int (@ F X2)) (@ tptp.complete_Sup_Sup_int _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) (@ tptp.comple4687483117567863418t_unit _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) (@ tptp.comple4687483117567863418t_unit _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (=> (@ (@ tptp.member_int X2) A4) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) (@ tptp.comple4687483117567863418t_unit _let_1)))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (@ (@ tptp.ord_less_eq_set_nat (@ F X2)) (@ tptp.comple7399068483239264473et_nat _let_1)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.product_unit tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) tptp.bot_bo3957492148770167129t_unit))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> Bool tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) tptp.bot_bot_set_o))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) tptp.bot_bot_set_nat))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) tptp.bot_bo2099793752762293965at_nat))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat F) tptp.bot_bo3957492148770167129t_unit))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> Bool tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat F) tptp.bot_bot_set_o))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat F) tptp.bot_bot_set_nat))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat))) (= (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat F) tptp.bot_bo3957492148770167129t_unit))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat F) tptp.bot_bo2099793752762293965at_nat))) A4)))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> Bool tptp.set_Pr4329608150637261639at_nat))) (= (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat F) tptp.bot_bot_set_o))) A4)))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_nat A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_o A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_4592875511192039216at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_nat A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_7288820656315755647at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_Pr8693737435421807431at_nat)) (A Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_8493167801588156084at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_o A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5803077947706746251at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_1087905878993176368at_nat F))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_nat A) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ F A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_5172358348707908735at_nat F))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ F A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_6169909464789311569t_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_4592875511192039216at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_7288820656315755647at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_set_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_set_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat F) I3))) X2)))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Product_unit) (X2 tptp.product_unit) (F (-> tptp.product_unit tptp.product_unit))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_o) (X2 tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (X2 tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Product_unit) (X2 tptp.set_nat) (F (-> tptp.product_unit tptp.set_nat))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_set_nat X2) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_o) (X2 tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_set_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_set_nat X2) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (X2 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_set_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_set_nat X2) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Product_unit) (X2 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_o) (X2 tptp.set_Pr1261947904930325089at_nat) (F (-> Bool tptp.set_Pr1261947904930325089at_nat))) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat F) I3)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat F) I3)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat F))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat F))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_6169909464789311569t_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_7178329752028323786at_nat F))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_3617315916088684441at_nat F))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_7077428525161401678at_nat F))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit _let_1)) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit _let_1)) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F X4))))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_Product_unit) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_Product_unit) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_o) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 Bool)) (=> (@ (@ tptp.member_o M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_o) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 Bool)) (=> (@ (@ tptp.member_o M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.nat)) (=> (@ (@ tptp.member_nat M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.nat)) (=> (@ (@ tptp.member_nat M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_int (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int G) B5)))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_int (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int G) B5)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit _let_1)) U) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit _let_1)) U) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X4)) U)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 Bool)) (=> (@ (@ tptp.member_o N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 Bool)) (=> (@ (@ tptp.member_o N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.nat)) (=> (@ (@ tptp.member_nat N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.nat)) (=> (@ (@ tptp.member_nat N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_int (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_int (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1))))))))
% 3.35/4.36  (assert (= tptp.basic_685971451221398055t_unit (lambda ((P3 tptp.produc7812382424243267045t_unit)) (@ (@ tptp.insert_ref_a (@ tptp.produc473321116828791851t_unit P3)) tptp.bot_bot_set_ref_a))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (J4 Bool)) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_int_int F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_int_int F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (J4 tptp.int)) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_int J4) A4) (= (@ (@ tptp.image_int_int F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (J4 Bool)) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_int_nat F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.image_int_nat F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_int_nat F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_nat F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (J4 tptp.int)) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_int J4) A4) (= (@ (@ tptp.image_int_nat F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_nat F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat)) (J4 Bool)) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_nat_rat F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.image_nat_rat F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat)) (J4 Bool)) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_nat_int F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_nat_int F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_nat_rat F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.image_nat_rat F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_nat_int F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_nat_int F) (@ B5 X4)))) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.nat)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (G (-> Bool tptp.nat)) (B5 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (G (-> Bool tptp.int)) (B5 tptp.set_o) (F (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X)) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X)) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.nat)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (G (-> Bool tptp.nat)) (B5 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (G (-> Bool tptp.int)) (B5 tptp.set_o) (F (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.int tptp.set_Product_unit)) (I tptp.int) (B5 tptp.set_Product_unit) (J3 tptp.set_int)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit (@ (@ (@ tptp.fun_up5054257004045450754t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit A4) (@ (@ tptp.minus_minus_set_int J3) (@ (@ tptp.insert_int I) tptp.bot_bot_set_int))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_int I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.int tptp.set_o)) (I tptp.int) (B5 tptp.set_o) (J3 tptp.set_int)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o (@ (@ (@ tptp.fun_upd_int_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o A4) (@ (@ tptp.minus_minus_set_int J3) (@ (@ tptp.insert_int I) tptp.bot_bot_set_int))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_int I) J3)) B5) tptp.bot_bot_set_o)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.product_unit tptp.set_Product_unit)) (I tptp.product_unit) (B5 tptp.set_Product_unit) (J3 tptp.set_Product_unit)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (@ (@ (@ tptp.fun_up488859312337516701t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit A4) (@ (@ tptp.minus_6452836326544984404t_unit J3) (@ (@ tptp.insert_Product_unit I) tptp.bot_bo3957492148770167129t_unit))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_Product_unit I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.product_unit tptp.set_o)) (I tptp.product_unit) (B5 tptp.set_o) (J3 tptp.set_Product_unit)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (@ (@ (@ tptp.fun_up1762901246852280360_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o A4) (@ (@ tptp.minus_6452836326544984404t_unit J3) (@ (@ tptp.insert_Product_unit I) tptp.bot_bo3957492148770167129t_unit))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_Product_unit I) J3)) B5) tptp.bot_bot_set_o)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_Product_unit)) (I Bool) (B5 tptp.set_Product_unit) (J3 tptp.set_o)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (@ (@ (@ tptp.fun_up4718931970374059986t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit A4) (@ (@ tptp.minus_minus_set_o J3) (@ (@ tptp.insert_o I) tptp.bot_bot_set_o))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_o I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.36  (assert (forall ((A4 (-> Bool tptp.set_o)) (I Bool) (B5 tptp.set_o) (J3 tptp.set_o)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (@ (@ (@ tptp.fun_upd_o_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o A4) (@ (@ tptp.minus_minus_set_o J3) (@ (@ tptp.insert_o I) tptp.bot_bot_set_o))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_o I) J3)) B5) tptp.bot_bot_set_o)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.nat tptp.set_Product_unit)) (I tptp.nat) (B5 tptp.set_Product_unit) (J3 tptp.set_nat)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (@ (@ (@ tptp.fun_up1220017903161424222t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit A4) (@ (@ tptp.minus_minus_set_nat J3) (@ (@ tptp.insert_nat I) tptp.bot_bot_set_nat))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_nat I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.nat tptp.set_o)) (I tptp.nat) (B5 tptp.set_o) (J3 tptp.set_nat)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (@ (@ (@ tptp.fun_upd_nat_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o A4) (@ (@ tptp.minus_minus_set_nat J3) (@ (@ tptp.insert_nat I) tptp.bot_bot_set_nat))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_nat I) J3)) B5) tptp.bot_bot_set_o)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.int tptp.set_nat)) (I tptp.int) (B5 tptp.set_nat) (J3 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (@ (@ (@ tptp.fun_upd_int_set_nat A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat A4) (@ (@ tptp.minus_minus_set_int J3) (@ (@ tptp.insert_int I) tptp.bot_bot_set_int))))) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.member_int I) J3)) B5) tptp.bot_bot_set_nat)))))
% 3.35/4.36  (assert (forall ((A4 (-> tptp.product_unit tptp.set_nat)) (I tptp.product_unit) (B5 tptp.set_nat) (J3 tptp.set_Product_unit)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (@ (@ (@ tptp.fun_up4569834200710200790et_nat A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) (@ (@ tptp.minus_6452836326544984404t_unit J3) (@ (@ tptp.insert_Product_unit I) tptp.bot_bo3957492148770167129t_unit))))) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.member_Product_unit I) J3)) B5) tptp.bot_bot_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_2021340605491722874at_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_rat_rat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc8728714639637146746at_rat (@ (@ tptp.image_nat_rat F) A4)) (lambda ((X4 tptp.rat)) (@ (@ tptp.image_nat_rat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X4) tptp.bot_bot_set_rat))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_5529569163885119602at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_rat_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc140472662868866674at_nat (@ (@ tptp.image_nat_rat F) A4)) (lambda ((X4 tptp.rat)) (@ (@ tptp.image_nat_nat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X4) tptp.bot_bot_set_rat))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_1351718144375922894at_int (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_rat_int (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc137982192359816398at_int (@ (@ tptp.image_nat_rat F) A4)) (lambda ((X4 tptp.rat)) (@ (@ tptp.image_nat_int G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X4) tptp.bot_bot_set_rat))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_3337248961327643342nt_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_int_rat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc821250958618291406nt_rat (@ (@ tptp.image_nat_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_nat_rat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_6845477519721040070nt_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_nat_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_nat_nat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_659947567330398058nt_nat (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_int_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_nat G) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_2667626500211843362nt_int (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_int_int (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1453890548195736866nt_int (@ (@ tptp.image_nat_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_nat_int G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ (@ tptp.image_5705468584675977158nt_int (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1453890548195736866nt_int (@ (@ tptp.image_int_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int G) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_469905907365485675it_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.produc4168158269727034510it_rat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc6240246942209516957it_rat (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_nat_rat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X4) tptp.bot_bo3957492148770167129t_unit))) A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_3978134465758882403it_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.produc4803288329813530246it_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc6875377002296012693it_nat (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_nat_nat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X4) tptp.bot_bo3957492148770167129t_unit))) A4)))))))
% 3.35/4.36  (assert (forall ((I tptp.num) (C3 tptp.set_num) (G (-> tptp.num Bool)) (X2 tptp.num)) (=> (@ (@ tptp.member_num I) C3) (=> (@ (@ tptp.inj_on_num_o G) C3) (= (@ (@ (@ tptp.comp_o_num_num (lambda ((I2 Bool)) (@ (@ (@ tptp.if_num (@ (@ tptp.member_o I2) (@ (@ tptp.image_num_o G) C3))) (@ (@ (@ tptp.the_inv_into_num_o C3) G) I2)) X2))) G) I) (@ tptp.id_num I))))))
% 3.35/4.36  (assert (forall ((I tptp.num) (C3 tptp.set_num) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (=> (@ (@ tptp.member_num I) C3) (=> (@ (@ tptp.inj_on_num_nat G) C3) (= (@ (@ (@ tptp.comp_nat_num_num (lambda ((I2 tptp.nat)) (@ (@ (@ tptp.if_num (@ (@ tptp.member_nat I2) (@ (@ tptp.image_num_nat G) C3))) (@ (@ (@ tptp.the_inv_into_num_nat C3) G) I2)) X2))) G) I) (@ tptp.id_num I))))))
% 3.35/4.36  (assert (forall ((I tptp.num) (C3 tptp.set_num) (G (-> tptp.num tptp.int)) (X2 tptp.num)) (=> (@ (@ tptp.member_num I) C3) (=> (@ (@ tptp.inj_on_num_int G) C3) (= (@ (@ (@ tptp.comp_int_num_num (lambda ((I2 tptp.int)) (@ (@ (@ tptp.if_num (@ (@ tptp.member_int I2) (@ (@ tptp.image_num_int G) C3))) (@ (@ (@ tptp.the_inv_into_num_int C3) G) I2)) X2))) G) I) (@ tptp.id_num I))))))
% 3.35/4.36  (assert (forall ((I Bool) (C3 tptp.set_o) (G (-> Bool Bool)) (X2 Bool)) (=> (@ (@ tptp.member_o I) C3) (=> (@ (@ tptp.inj_on_o_o G) C3) (= (@ (@ (@ tptp.comp_o_o_o (lambda ((I2 Bool)) (let ((_let_1 (@ (@ tptp.member_o I2) (@ (@ tptp.image_o_o G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_o C3) G) I2)) (=> (not _let_1) X2))))) G) I) (@ tptp.id_o I))))))
% 3.35/4.36  (assert (forall ((I Bool) (C3 tptp.set_o) (G (-> Bool tptp.nat)) (X2 Bool)) (=> (@ (@ tptp.member_o I) C3) (=> (@ (@ tptp.inj_on_o_nat G) C3) (= (@ (@ (@ tptp.comp_nat_o_o (lambda ((I2 tptp.nat)) (let ((_let_1 (@ (@ tptp.member_nat I2) (@ (@ tptp.image_o_nat G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_nat C3) G) I2)) (=> (not _let_1) X2))))) G) I) (@ tptp.id_o I))))))
% 3.35/4.36  (assert (forall ((I Bool) (C3 tptp.set_o) (G (-> Bool tptp.int)) (X2 Bool)) (=> (@ (@ tptp.member_o I) C3) (=> (@ (@ tptp.inj_on_o_int G) C3) (= (@ (@ (@ tptp.comp_int_o_o (lambda ((I2 tptp.int)) (let ((_let_1 (@ (@ tptp.member_int I2) (@ (@ tptp.image_o_int G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_int C3) G) I2)) (=> (not _let_1) X2))))) G) I) (@ tptp.id_o I))))))
% 3.35/4.36  (assert (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_rat G) C3) (= (@ (@ (@ tptp.comp_rat_nat_nat (lambda ((I2 tptp.rat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_rat I2) (@ (@ tptp.image_nat_rat G) C3))) (@ (@ (@ tptp.the_inv_into_nat_rat C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))))
% 3.35/4.36  (assert (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat Bool)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_o G) C3) (= (@ (@ (@ tptp.comp_o_nat_nat (lambda ((I2 Bool)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o I2) (@ (@ tptp.image_nat_o G) C3))) (@ (@ (@ tptp.the_inv_into_nat_o C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))))
% 3.35/4.36  (assert (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_nat G) C3) (= (@ (@ (@ tptp.comp_nat_nat_nat (lambda ((I2 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_nat I2) (@ (@ tptp.image_nat_nat G) C3))) (@ (@ (@ tptp.the_inv_into_nat_nat C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))))
% 3.35/4.36  (assert (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat tptp.int)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_int G) C3) (= (@ (@ (@ tptp.comp_int_nat_nat (lambda ((I2 tptp.int)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_int I2) (@ (@ tptp.image_nat_int G) C3))) (@ (@ (@ tptp.the_inv_into_nat_int C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr7459493094073627847at_nat)) (= (@ tptp.field_1428494348145443988at_nat (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R)) (@ (@ tptp.sup_su474284620922681339at_nat (@ (@ tptp.insert2290795007606087959at_nat A) (@ (@ tptp.insert2290795007606087959at_nat B) tptp.bot_bo1534825418459847827at_nat))) (@ tptp.field_1428494348145443988at_nat R)))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.field_3145993188331922222at_nat (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R)) (@ (@ tptp.sup_su3642409539654194069at_nat (@ (@ tptp.insert9200635055090092081at_nat A) (@ (@ tptp.insert9200635055090092081at_nat B) tptp.bot_bo3083307316010499117at_nat))) (@ tptp.field_3145993188331922222at_nat R)))))
% 3.35/4.36  (assert (forall ((A tptp.int) (B tptp.int) (R tptp.set_Pr958786334691620121nt_int)) (= (@ tptp.field_int (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int A) B)) R)) (@ (@ tptp.sup_sup_set_int (@ (@ tptp.insert_int A) (@ (@ tptp.insert_int B) tptp.bot_bot_set_int))) (@ tptp.field_int R)))))
% 3.35/4.36  (assert (forall ((A tptp.produc859450856879609959at_nat) (B tptp.produc859450856879609959at_nat) (R tptp.set_Pr553994874890374343at_nat)) (= (@ tptp.field_3044959742847878580at_nat (@ (@ tptp.insert5475735164933346999at_nat (@ (@ tptp.produc4662710985925991255at_nat A) B)) R)) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.insert5050368324300391991at_nat A) (@ (@ tptp.insert5050368324300391991at_nat B) tptp.bot_bo5327735625951526323at_nat))) (@ tptp.field_3044959742847878580at_nat R)))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (B tptp.product_unit) (R tptp.set_Pr5094982260447487303t_unit)) (= (@ tptp.field_Product_unit (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit A) B)) R)) (@ (@ tptp.sup_su793286257634532545t_unit (@ (@ tptp.insert_Product_unit A) (@ (@ tptp.insert_Product_unit B) tptp.bot_bo3957492148770167129t_unit))) (@ tptp.field_Product_unit R)))))
% 3.35/4.36  (assert (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (R tptp.set_Pr5564308138774400199at_nat)) (= (@ tptp.field_2862844103579723188at_nat (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.insert9069300056098147895at_nat A) (@ (@ tptp.insert9069300056098147895at_nat B) tptp.bot_bo228742789529271731at_nat))) (@ tptp.field_2862844103579723188at_nat R)))))
% 3.35/4.36  (assert (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (R tptp.set_Pr8693737435421807431at_nat)) (= (@ tptp.field_4706345496283612622at_nat (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ (@ tptp.insert8211810215607154385at_nat A) (@ (@ tptp.insert8211810215607154385at_nat B) tptp.bot_bo2099793752762293965at_nat))) (@ tptp.field_4706345496283612622at_nat R)))))
% 3.35/4.36  (assert (forall ((A Bool) (B Bool) (R tptp.set_Product_prod_o_o)) (= (@ tptp.field_o (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R)) (@ (@ tptp.sup_sup_set_o (@ (@ tptp.insert_o A) (@ (@ tptp.insert_o B) tptp.bot_bot_set_o))) (@ tptp.field_o R)))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat) (R tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.field_nat (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R)) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.insert_nat A) (@ (@ tptp.insert_nat B) tptp.bot_bot_set_nat))) (@ tptp.field_nat R)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2045666486212196060at_rat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2680796546298691796at_nat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_2678306075789641520at_int F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_3680150258199746352nt_nat F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_3677659787690696076nt_int F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2045666486212196060at_rat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2680796546298691796at_nat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_2678306075789641520at_int F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_3680150258199746352nt_nat F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_3677659787690696076nt_int F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (Z2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.the_inv_into_nat_nat tptp.top_top_set_nat) F)) F) Z2) (@ tptp.id_nat Z2)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.product_unit Bool)) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (X2 tptp.product_unit)) (let ((_let_1 (@ (@ tptp.sup_su793286257634532545t_unit B5) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ (@ tptp.inj_on8854722734121536060unit_o G) C3) (=> (@ (@ tptp.ord_le3507040750410214029t_unit C3) _let_1) (@ (@ tptp.member2370919827131729009t_unit (lambda ((I2 Bool)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_o I2) (@ (@ tptp.image_Product_unit_o G) C3))) (@ (@ (@ tptp.the_in43325605794470270unit_o C3) G) I2)) X2))) (@ (@ tptp.bNF_We8730861560085513481t_unit tptp.top_top_set_o) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> Bool Bool)) (C3 tptp.set_o) (B5 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.sup_sup_set_o B5) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))) (=> (@ (@ tptp.inj_on_o_o G) C3) (=> (@ (@ tptp.ord_less_eq_set_o C3) _let_1) (@ (@ tptp.member_o_o (lambda ((I2 Bool)) (let ((_let_1 (@ (@ tptp.member_o I2) (@ (@ tptp.image_o_o G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_o C3) G) I2)) (=> (not _let_1) X2))))) (@ (@ tptp.bNF_We7690717809131995284nc_o_o tptp.top_top_set_o) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat Bool)) (C3 tptp.set_nat) (B5 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat B5) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)))) (=> (@ (@ tptp.inj_on_nat_o G) C3) (=> (@ (@ tptp.ord_less_eq_set_nat C3) _let_1) (@ (@ tptp.member_o_nat (lambda ((I2 Bool)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o I2) (@ (@ tptp.image_nat_o G) C3))) (@ (@ (@ tptp.the_inv_into_nat_o C3) G) I2)) X2))) (@ (@ tptp.bNF_We6830391624356636116_o_nat tptp.top_top_set_o) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> tptp.product_unit tptp.char)) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (X2 tptp.product_unit)) (let ((_let_1 (@ (@ tptp.sup_su793286257634532545t_unit B5) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ (@ tptp.inj_on1959294024837303853t_char G) C3) (=> (@ (@ tptp.ord_le3507040750410214029t_unit C3) _let_1) (@ (@ tptp.member379592906918970460t_unit (lambda ((I2 tptp.char)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_char I2) (@ (@ tptp.image_7248553556944771225t_char G) C3))) (@ (@ (@ tptp.the_in3194898024646563179t_char C3) G) I2)) X2))) (@ (@ tptp.bNF_We7396736742984212070t_unit tptp.top_top_set_char) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> Bool tptp.char)) (C3 tptp.set_o) (B5 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.sup_sup_set_o B5) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))) (=> (@ (@ tptp.inj_on_o_char G) C3) (=> (@ (@ tptp.ord_less_eq_set_o C3) _let_1) (@ (@ tptp.member_char_o (lambda ((I2 tptp.char)) (let ((_let_1 (@ (@ tptp.member_char I2) (@ (@ tptp.image_o_char G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_char C3) G) I2)) (=> (not _let_1) X2))))) (@ (@ tptp.bNF_We6174688282833725809char_o tptp.top_top_set_char) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.char)) (C3 tptp.set_nat) (B5 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat B5) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)))) (=> (@ (@ tptp.inj_on_nat_char G) C3) (=> (@ (@ tptp.ord_less_eq_set_nat C3) _let_1) (@ (@ tptp.member_char_nat (lambda ((I2 tptp.char)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_char I2) (@ (@ tptp.image_nat_char G) C3))) (@ (@ (@ tptp.the_in9023905271258939222t_char C3) G) I2)) X2))) (@ (@ tptp.bNF_We935846424581991991ar_nat tptp.top_top_set_char) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> tptp.product_unit tptp.rat)) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (X2 tptp.product_unit)) (let ((_let_1 (@ (@ tptp.sup_su793286257634532545t_unit B5) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ (@ tptp.inj_on7795309031694339124it_rat G) C3) (=> (@ (@ tptp.ord_le3507040750410214029t_unit C3) _let_1) (@ (@ tptp.member7011034171605722901t_unit (lambda ((I2 tptp.rat)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_rat I2) (@ (@ tptp.image_240439954468258464it_rat G) C3))) (@ (@ (@ tptp.the_in3915408195775746418it_rat C3) G) I2)) X2))) (@ (@ tptp.bNF_We8564238559827753503t_unit tptp.top_top_set_rat) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> Bool tptp.rat)) (C3 tptp.set_o) (B5 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.sup_sup_set_o B5) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))) (=> (@ (@ tptp.inj_on_o_rat G) C3) (=> (@ (@ tptp.ord_less_eq_set_o C3) _let_1) (@ (@ tptp.member_rat_o (lambda ((I2 tptp.rat)) (let ((_let_1 (@ (@ tptp.member_rat I2) (@ (@ tptp.image_o_rat G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_rat C3) G) I2)) (=> (not _let_1) X2))))) (@ (@ tptp.bNF_We6195730058148253354_rat_o tptp.top_top_set_rat) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (B5 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat B5) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)))) (=> (@ (@ tptp.inj_on_nat_rat G) C3) (=> (@ (@ tptp.ord_less_eq_set_nat C3) _let_1) (@ (@ tptp.member_rat_nat (lambda ((I2 tptp.rat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_rat I2) (@ (@ tptp.image_nat_rat G) C3))) (@ (@ (@ tptp.the_inv_into_nat_rat C3) G) I2)) X2))) (@ (@ tptp.bNF_We7223962090624190782at_nat tptp.top_top_set_rat) _let_1)))))))
% 3.35/4.36  (assert (forall ((G (-> tptp.int tptp.nat)) (C3 tptp.set_int) (B5 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.sup_sup_set_int B5) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))) (=> (@ (@ tptp.inj_on_int_nat G) C3) (=> (@ (@ tptp.ord_less_eq_set_int C3) _let_1) (@ (@ tptp.member_nat_int (lambda ((I2 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.member_nat I2) (@ (@ tptp.image_int_nat G) C3))) (@ (@ (@ tptp.the_inv_into_int_nat C3) G) I2)) X2))) (@ (@ tptp.bNF_We7538026264050006418at_int tptp.top_top_set_nat) _let_1)))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_nat F) (=> (@ tptp.condit5413489452508810728elow_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_o A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_nat A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_int F) (=> (@ tptp.condit5413489452508810728elow_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_o A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_nat A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ tptp.order_7782127260464396005t_unit F) (=> (@ tptp.condit5413489452508810728elow_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_o A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_nat A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit1735850657277959132ow_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_int A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int)) (=> (@ tptp.order_2843698775922903023t_unit F) (=> (@ tptp.condit1735850657277959132ow_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_int A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit9161856309968323677t_unit A4) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.comple2584293577114468500t_unit A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.int tptp.int)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.product_unit tptp.int)) (I3 tptp.set_Product_unit)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> Bool tptp.int)) (I3 tptp.set_o)) (let ((_let_1 (@ (@ tptp.image_o_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.nat tptp.int)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))))
% 3.35/4.36  (assert (forall ((S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int (@ (@ tptp.sup_su362511073950362882_nat_o S5) T3)) R3) (@ (@ tptp.sup_su5231854730092680051_int_o (@ (@ tptp.relcom8911704206367525917at_int S5) R3)) (@ (@ tptp.relcom8911704206367525917at_int T3) R3)))))
% 3.35/4.36  (assert (forall ((S5 (-> tptp.int tptp.int Bool)) (T3 (-> tptp.int tptp.int Bool)) (R3 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger (@ (@ tptp.sup_sup_int_int_o S5) T3)) R3) (@ (@ tptp.sup_su1544571744061072657eger_o (@ (@ tptp.relcom967497705283160040nteger S5) R3)) (@ (@ tptp.relcom967497705283160040nteger T3) R3)))))
% 3.35/4.36  (assert (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (let ((_let_1 (@ tptp.relcom8911704206367525917at_int R3))) (= (@ _let_1 (@ (@ tptp.sup_su5231854730092680051_int_o S5) T3)) (@ (@ tptp.sup_su5231854730092680051_int_o (@ _let_1 S5)) (@ _let_1 T3))))))
% 3.35/4.36  (assert (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool)) (T3 (-> tptp.int tptp.code_integer Bool))) (let ((_let_1 (@ tptp.relcom967497705283160040nteger R3))) (= (@ _let_1 (@ (@ tptp.sup_su1544571744061072657eger_o S5) T3)) (@ (@ tptp.sup_su1544571744061072657eger_o (@ _let_1 S5)) (@ _let_1 T3))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.field_nat (@ tptp.comple5685304695842803022at_nat R3)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_5853224409075402146et_nat tptp.field_nat) R3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ (@ tptp.image_rat_nat (@ (@ tptp.the_inv_into_nat_rat A4) F)) (@ (@ tptp.image_nat_rat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.nat)) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_nat F) A4) (= (@ (@ tptp.image_nat_rat (@ (@ tptp.the_inv_into_rat_nat A4) F)) (@ (@ tptp.image_rat_nat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ (@ tptp.image_nat_nat (@ (@ tptp.the_inv_into_nat_nat A4) F)) (@ (@ tptp.image_nat_nat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ (@ tptp.image_nat_int (@ (@ tptp.the_inv_into_int_nat A4) F)) (@ (@ tptp.image_int_nat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (= (@ (@ tptp.image_int_nat (@ (@ tptp.the_inv_into_nat_int A4) F)) (@ (@ tptp.image_nat_int F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ (@ tptp.image_int_int (@ (@ tptp.the_inv_into_int_int A4) F)) (@ (@ tptp.image_int_int F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_8382823969816519465at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage8942442433166402803at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_char))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.list_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_2795870212791037530at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage8527374361057053988at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_list_nat))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_9175953278516507234at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage2119786153496215084at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_rat))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ (@ tptp.vimage_nat_rat F) A4)) (@ (@ tptp.inf_inf_set_rat A4) (@ _let_1 tptp.top_top_set_nat))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ (@ tptp.vimage_nat_nat F) A4)) (@ (@ tptp.inf_inf_set_nat A4) (@ _let_1 tptp.top_top_set_nat))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ (@ tptp.vimage_nat_int F) A4)) (@ (@ tptp.inf_inf_set_int A4) (@ _let_1 tptp.top_top_set_nat))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5846123807819985514at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage8013328719654469172at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_nat))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ (@ tptp.vimage_int_nat F) A4)) (@ (@ tptp.inf_inf_set_nat A4) (@ _let_1 tptp.top_top_set_int))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ (@ tptp.vimage_int_int F) A4)) (@ (@ tptp.inf_inf_set_int A4) (@ _let_1 tptp.top_top_set_int))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_8883965892284119310at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage1827798767263827160at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_int))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (G (-> Bool Bool)) (X2 tptp.set_o)) (= (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.vimage_o_o G) X2)) (@ (@ tptp.vimage_nat_o (@ (@ tptp.comp_o_o_nat G) F)) X2))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.num)) (X2 tptp.set_num)) (= (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.vimage_nat_num G) X2)) (@ (@ tptp.vimage_int_num (@ (@ tptp.comp_nat_num_int G) F)) X2))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.set_nat)) (= (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.vimage_nat_nat G) X2)) (@ (@ tptp.vimage_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) X2))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (X2 tptp.set_nat)) (= (@ (@ tptp.vimage_int_int F) (@ (@ tptp.vimage_int_nat G) X2)) (@ (@ tptp.vimage_int_nat (@ (@ tptp.comp_int_nat_int G) F)) X2))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (X2 tptp.set_Pr4111642102156807771nteger)) (= (@ (@ tptp.vimage6029918387083761651nteger F) (@ (@ tptp.vimage4289680085338140859nteger G) X2)) (@ (@ tptp.vimage6839621282666897215nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) X2))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (G (-> Bool Bool)) (Set tptp.set_o)) (= (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.vimage_o_o G) Set)) (@ (@ tptp.vimage_nat_o (@ (@ tptp.comp_o_o_nat G) F)) Set))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.num)) (Set tptp.set_num)) (= (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.vimage_nat_num G) Set)) (@ (@ tptp.vimage_int_num (@ (@ tptp.comp_nat_num_int G) F)) Set))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (Set tptp.set_nat)) (= (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.vimage_nat_nat G) Set)) (@ (@ tptp.vimage_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) Set))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (Set tptp.set_nat)) (= (@ (@ tptp.vimage_int_int F) (@ (@ tptp.vimage_int_nat G) Set)) (@ (@ tptp.vimage_int_nat (@ (@ tptp.comp_int_nat_int G) F)) Set))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (Set tptp.set_Pr4111642102156807771nteger)) (= (@ (@ tptp.vimage6029918387083761651nteger F) (@ (@ tptp.vimage4289680085338140859nteger G) Set)) (@ (@ tptp.vimage6839621282666897215nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) Set))))
% 3.35/4.36  (assert (forall ((I tptp.produc3843707927480180839at_nat) (J4 tptp.produc3843707927480180839at_nat) (R3 tptp.set_Pr5564308138774400199at_nat)) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat I) J4)) R3) (@ (@ tptp.member8757157785044589968at_nat J4) (@ tptp.field_2862844103579723188at_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.product_prod_nat_nat) (J4 tptp.product_prod_nat_nat) (R3 tptp.set_Pr8693737435421807431at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat I) J4)) R3) (@ (@ tptp.member8440522571783428010at_nat J4) (@ tptp.field_4706345496283612622at_nat R3)))))
% 3.35/4.36  (assert (forall ((I Bool) (J4 Bool) (R3 tptp.set_Product_prod_o_o)) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o I) J4)) R3) (@ (@ tptp.member_o J4) (@ tptp.field_o R3)))))
% 3.35/4.36  (assert (forall ((I tptp.set_Pr4329608150637261639at_nat) (J4 tptp.set_Pr4329608150637261639at_nat) (R3 tptp.set_Pr7459493094073627847at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat I) J4)) R3) (@ (@ tptp.member6273874620674182256at_nat J4) (@ tptp.field_1428494348145443988at_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.set_Pr1261947904930325089at_nat) (J4 tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I) J4)) R3) (@ (@ tptp.member2643936169264416010at_nat J4) (@ tptp.field_3145993188331922222at_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.nat) (J4 tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I) J4)) R3) (@ (@ tptp.member_nat J4) (@ tptp.field_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.int) (J4 tptp.int) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I) J4)) R3) (@ (@ tptp.member_int J4) (@ tptp.field_int R3)))))
% 3.35/4.36  (assert (forall ((I tptp.produc3843707927480180839at_nat) (J4 tptp.produc3843707927480180839at_nat) (R3 tptp.set_Pr5564308138774400199at_nat)) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat I) J4)) R3) (@ (@ tptp.member8757157785044589968at_nat I) (@ tptp.field_2862844103579723188at_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.product_prod_nat_nat) (J4 tptp.product_prod_nat_nat) (R3 tptp.set_Pr8693737435421807431at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat I) J4)) R3) (@ (@ tptp.member8440522571783428010at_nat I) (@ tptp.field_4706345496283612622at_nat R3)))))
% 3.35/4.36  (assert (forall ((I Bool) (J4 Bool) (R3 tptp.set_Product_prod_o_o)) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o I) J4)) R3) (@ (@ tptp.member_o I) (@ tptp.field_o R3)))))
% 3.35/4.36  (assert (forall ((I tptp.set_Pr4329608150637261639at_nat) (J4 tptp.set_Pr4329608150637261639at_nat) (R3 tptp.set_Pr7459493094073627847at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat I) J4)) R3) (@ (@ tptp.member6273874620674182256at_nat I) (@ tptp.field_1428494348145443988at_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.set_Pr1261947904930325089at_nat) (J4 tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I) J4)) R3) (@ (@ tptp.member2643936169264416010at_nat I) (@ tptp.field_3145993188331922222at_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.nat) (J4 tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I) J4)) R3) (@ (@ tptp.member_nat I) (@ tptp.field_nat R3)))))
% 3.35/4.36  (assert (forall ((I tptp.int) (J4 tptp.int) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I) J4)) R3) (@ (@ tptp.member_int I) (@ tptp.field_int R3)))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.inf_in6969519006101653788_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ (@ tptp.inf_in2456762090751560885at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.inf_in6124848772414083356_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ (@ tptp.inf_in7913087082777306421at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.inf_inf_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ (@ tptp.inf_in7510916698018314649at_num R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.inf_inf_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ (@ tptp.inf_in2269163501485487111nt_int R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_inf_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ (@ tptp.inf_in2572325071724192079at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (Y3 Bool)) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_nat_o G) X2) Y3)) (@ (@ (@ tptp.fun_upd_nat_o (@ _let_1 G)) X2) (@ F Y3))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_int_nat G) X2) Y3)) (@ (@ (@ tptp.fun_upd_int_num (@ _let_1 G)) X2) (@ F Y3))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_nat_nat G) X2) Y3)) (@ (@ (@ tptp.fun_upd_nat_nat (@ _let_1 G)) X2) (@ F Y3))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (Y3 tptp.int)) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_int_int G) X2) Y3)) (@ (@ (@ tptp.fun_upd_int_nat (@ _let_1 G)) X2) (@ F Y3))))))
% 3.35/4.36  (assert (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (Y3 (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (= (@ _let_1 (@ (@ (@ tptp.fun_up8056716234270145717nteger G) X2) Y3)) (@ (@ (@ tptp.fun_up8139772397987072257nteger (@ _let_1 G)) X2) (@ F Y3))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) (@ (@ tptp.vimage_nat_rat F) A4))) A4)))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) (@ (@ tptp.vimage_nat_nat F) A4))) A4)))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_int)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) (@ (@ tptp.vimage_nat_int F) A4))) A4)))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) (@ (@ tptp.vimage_int_nat F) A4))) A4)))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) (@ (@ tptp.vimage_int_int F) A4))) A4)))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (= (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.vimage_nat_rat F) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.vimage_nat_nat F) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.vimage_nat_int F) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.vimage_int_nat F) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.vimage_int_int F) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.char)) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_char F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.vimage_char_char F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_char_rat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.vimage_char_rat F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_char_nat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.vimage_char_nat F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_char_int F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.vimage_char_int F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.char)) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_rat_char F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.vimage_rat_char F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.vimage_rat_rat F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_rat_nat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.vimage_rat_nat F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_rat_int F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.vimage_rat_int F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.char)) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_nat_char F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.vimage_nat_char F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.vimage_nat_rat F) A4)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_rat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_rat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.sup_su6164525874564267778_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ (@ tptp.sup_su5395584912770621083at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.sup_sup_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ (@ tptp.sup_su2042722026077122175at_num R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.sup_sup_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ (@ tptp.sup_su6327502436637775413at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.sup_sup_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ (@ tptp.sup_su6024340866399070445nt_int R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr8693737435421807431at_nat) (S5 tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ tptp.sup_su362511073950362882_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) R3))) (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) S5))) (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) (@ (@ tptp.sup_su718114333110466843at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.sup_su7519161239522478338_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ (@ tptp.sup_su5525570899277871387at_nat R3) S5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_set_nat)) (let ((_let_1 (@ tptp.vimage_nat_nat F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.vimage2449269961533847803at_nat F) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage4653281326611754070at_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_fst_nat_nat) F)) A4)) (@ (@ tptp.vimage4653281326611754070at_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) F)) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)) (A4 tptp.set_ref_a) (B5 tptp.set_he8644174446132254637t_unit)) (= (@ (@ tptp.vimage4308919176130087787t_unit F) (@ (@ tptp.produc3946373962484743846t_unit A4) (lambda ((Uu tptp.ref_a)) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage7322659125625010723_ref_a (@ (@ tptp.comp_P7986581389989349338at_nat tptp.produc473321116828791851t_unit) F)) A4)) (@ (@ tptp.vimage1024995831485383111t_unit (@ (@ tptp.comp_P6390991081591698364at_nat tptp.produc1126150082675451753t_unit) F)) B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (Y3 tptp.rat) (X2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (not (@ (@ tptp.member_rat Y3) (@ (@ tptp.image_nat_rat F) A4))) (@ (@ tptp.inj_on_nat_rat (@ (@ (@ tptp.fun_upd_nat_rat F) X2) Y3)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (Y3 tptp.nat) (X2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (not (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_nat_nat F) A4))) (@ (@ tptp.inj_on_nat_nat (@ (@ (@ tptp.fun_upd_nat_nat F) X2) Y3)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (Y3 tptp.nat) (X2 tptp.int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (not (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_int_nat F) A4))) (@ (@ tptp.inj_on_int_nat (@ (@ (@ tptp.fun_upd_int_nat F) X2) Y3)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (Y3 tptp.int) (X2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (not (@ (@ tptp.member_int Y3) (@ (@ tptp.image_nat_int F) A4))) (@ (@ tptp.inj_on_nat_int (@ (@ (@ tptp.fun_upd_nat_int F) X2) Y3)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (Y3 tptp.int) (X2 tptp.int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (not (@ (@ tptp.member_int Y3) (@ (@ tptp.image_int_int F) A4))) (@ (@ tptp.inj_on_int_int (@ (@ (@ tptp.fun_upd_int_int F) X2) Y3)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (G (-> Bool Bool))) (= (@ (@ tptp.comp_s9189197539837705563_set_o (@ tptp.vimage_nat_o F)) (@ tptp.vimage_o_o G)) (@ tptp.vimage_nat_o (@ (@ tptp.comp_o_o_nat G) F)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.num))) (= (@ (@ tptp.comp_s6458263553158497821et_num (@ tptp.vimage_int_nat F)) (@ tptp.vimage_nat_num G)) (@ tptp.vimage_int_num (@ (@ tptp.comp_nat_num_int G) F)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_s8964582002068861047et_nat (@ tptp.vimage_nat_nat F)) (@ tptp.vimage_nat_nat G)) (@ tptp.vimage_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_s7717450105097109807et_nat (@ tptp.vimage_int_int F)) (@ tptp.vimage_int_nat G)) (@ tptp.vimage_int_nat (@ (@ tptp.comp_int_nat_int G) F)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (= (@ (@ tptp.comp_s4786119426940707554nteger (@ tptp.vimage6029918387083761651nteger F)) (@ tptp.vimage4289680085338140859nteger G)) (@ tptp.vimage6839621282666897215nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (= (@ (@ tptp.image_405062704495631173t_unit F) tptp.top_to1996260823553986621t_unit) tptp.top_to1996260823553986621t_unit) (= (= (@ (@ tptp.vimage7995052115951654139t_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_o)) (=> (= (@ (@ tptp.image_Product_unit_o F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_o) (= (= (@ (@ tptp.vimage8808348054653608838unit_o F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_o)))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (= (@ (@ tptp.image_o_Product_unit F) tptp.top_top_set_o) tptp.top_to1996260823553986621t_unit) (= (= (@ (@ tptp.vimage4222377557387472176t_unit F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bo3957492148770167129t_unit)))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o)) (=> (= (@ (@ tptp.image_o_o F) tptp.top_top_set_o) tptp.top_top_set_o) (= (= (@ (@ tptp.vimage_o_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_o)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.char)) (A4 tptp.set_char)) (=> (= (@ (@ tptp.image_7248553556944771225t_char F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_char) (= (= (@ (@ tptp.vimage2648087219933717859t_char F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_char)))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.char)) (A4 tptp.set_char)) (=> (= (@ (@ tptp.image_o_char F) tptp.top_top_set_o) tptp.top_top_set_char) (= (= (@ (@ tptp.vimage_o_char F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_char)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.rat)) (A4 tptp.set_rat)) (=> (= (@ (@ tptp.image_240439954468258464it_rat F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_rat) (= (= (@ (@ tptp.vimage5618198413390092650it_rat F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_rat)))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.rat)) (A4 tptp.set_rat)) (=> (= (@ (@ tptp.image_o_rat F) tptp.top_top_set_o) tptp.top_top_set_rat) (= (= (@ (@ tptp.vimage_o_rat F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_rat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_nat)) (=> (= (@ (@ tptp.image_875570014554754200it_nat F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_nat) (= (= (@ (@ tptp.vimage6253328473476588386it_nat F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_nat)) (=> (= (@ (@ tptp.image_o_nat F) tptp.top_top_set_o) tptp.top_top_set_nat) (= (= (@ (@ tptp.vimage_o_nat F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.char)) (B5 tptp.set_char) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_char F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_char) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_char F) B5)) A4) (@ (@ tptp.ord_less_eq_set_char B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_rat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_rat) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_rat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_rat B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_nat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_nat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_nat B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.int)) (B5 tptp.set_int) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_int F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_int F) B5)) A4) (@ (@ tptp.ord_less_eq_set_int B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.char)) (B5 tptp.set_char) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_char F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_char) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_char F) B5)) A4) (@ (@ tptp.ord_less_eq_set_char B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_rat) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_rat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_rat B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_nat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_nat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_nat B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.int)) (B5 tptp.set_int) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_int F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_int F) B5)) A4) (@ (@ tptp.ord_less_eq_set_int B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.char)) (B5 tptp.set_char) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_char F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_char) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_char F) B5)) A4) (@ (@ tptp.ord_less_eq_set_char B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_rat) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_rat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_rat B5) (@ _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_num))) (let ((_let_1 (@ (@ tptp.vimage5436458796434496692at_num (@ tptp.product_Pair_nat_num X2)) (@ (@ tptp.produc6237731129814287028at_num A4) F)))) (let ((_let_2 (@ (@ tptp.member_nat X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_num)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_int))) (let ((_let_1 (@ (@ tptp.vimage7872673496510460816nt_int (@ tptp.product_Pair_int_int X2)) (@ (@ tptp.produc1453890548195736866nt_int A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_int)))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_Product_unit))) (let ((_let_1 (@ (@ tptp.vimage508909887551888138t_unit (@ tptp.produc3901946521647900940t_unit X2)) (@ (@ tptp.produc411009820408249917t_unit A4) F)))) (let ((_let_2 (@ (@ tptp.member_o X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (@ (@ tptp.vimage7305857734363866308t_unit (@ tptp.produc3434450474625521892t_unit X2)) (@ (@ tptp.produc5506539147108004339t_unit A4) F)))) (let ((_let_2 (@ (@ tptp.member_nat X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_Product_unit))) (let ((_let_1 (@ (@ tptp.vimage4422279681566046568t_unit (@ tptp.produc550872421827702152t_unit X2)) (@ (@ tptp.produc2622961094310184599t_unit A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bo3957492148770167129t_unit)))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_o))) (let ((_let_1 (@ (@ tptp.vimage8945963521958007626od_o_o (@ tptp.product_Pair_o_o X2)) (@ (@ tptp.product_Sigma_o_o A4) F)))) (let ((_let_2 (@ (@ tptp.member_o X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_o)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_o))) (let ((_let_1 (@ (@ tptp.vimage6125388955539849434_nat_o (@ tptp.product_Pair_nat_o X2)) (@ (@ tptp.product_Sigma_nat_o A4) F)))) (let ((_let_2 (@ (@ tptp.member_nat X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_o)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_o))) (let ((_let_1 (@ (@ tptp.vimage4304346610107161470_int_o (@ tptp.product_Pair_int_o X2)) (@ (@ tptp.product_Sigma_int_o A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_o)))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.vimage5656379182745576100_o_nat (@ tptp.product_Pair_o_nat X2)) (@ (@ tptp.product_Sigma_o_nat A4) F)))) (let ((_let_2 (@ (@ tptp.member_o X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_nat)))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ (@ tptp.vimage9012682431555523728nt_nat (@ tptp.product_Pair_int_nat X2)) (@ (@ tptp.produc1456381018704787142nt_nat A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_nat)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.image_nat_rat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.image_nat_nat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.image_nat_int F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.image_int_nat F) A4)) A4))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ (@ tptp.vimage_int_int F) (@ (@ tptp.image_int_int F) A4)) A4))))
% 3.35/4.36  (assert (@ (@ tptp.inj_on3412903767820855855at_nat (lambda ((F2 (-> tptp.nat tptp.nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (= Y5 (@ F2 X4))))))) tptp.top_top_set_nat_nat))
% 3.35/4.36  (assert (@ (@ tptp.inj_on7039184780174133295nt_int (lambda ((F2 (-> tptp.int tptp.int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (= Y5 (@ F2 X4))))))) tptp.top_top_set_int_int))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (Y3 tptp.rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.member_rat Y3) (@ (@ tptp.image_nat_rat F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_nat_rat A4) F) Y3)) Y3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (Y3 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_nat_nat F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_nat_nat A4) F) Y3)) Y3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (Y3 tptp.nat)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_int_nat F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_int_nat A4) F) Y3)) Y3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (Y3 tptp.int)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.member_int Y3) (@ (@ tptp.image_nat_int F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_nat_int A4) F) Y3)) Y3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (Y3 tptp.int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.member_int Y3) (@ (@ tptp.image_int_int F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_int_int A4) F) Y3)) Y3)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ (@ tptp.inj_on_rat_nat (@ (@ tptp.the_inv_into_nat_rat A4) F)) (@ (@ tptp.image_nat_rat F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.the_inv_into_nat_nat A4) F)) (@ (@ tptp.image_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.the_inv_into_nat_int A4) F)) (@ (@ tptp.image_nat_int F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ (@ tptp.inj_on_nat_int (@ (@ tptp.the_inv_into_int_nat A4) F)) (@ (@ tptp.image_int_nat F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ (@ tptp.inj_on_int_int (@ (@ tptp.the_inv_into_int_int A4) F)) (@ (@ tptp.image_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_ref_a)) (= (@ (@ tptp.vimage2910454108108208703_ref_a tptp.produc473321116828791851t_unit) A4) (@ (@ tptp.produc3946373962484743846t_unit A4) (lambda ((Uu tptp.ref_a)) tptp.top_to3956321331435058429t_unit)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat)) (= (@ (@ tptp.vimage4653281326611754070at_nat tptp.product_fst_nat_nat) A4) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_he8644174446132254637t_unit)) (= (@ (@ tptp.vimage6116673589273818795t_unit tptp.produc1126150082675451753t_unit) A4) (@ (@ tptp.produc3946373962484743846t_unit tptp.top_top_set_ref_a) (lambda ((Uu tptp.ref_a)) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat)) (= (@ (@ tptp.vimage4653281326611754070at_nat tptp.product_snd_nat_nat) A4) (@ (@ tptp.produc457027306803732586at_nat tptp.top_top_set_nat) (lambda ((Uu tptp.nat)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.set_nat tptp.set_nat)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_1005506198798982270et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat F) A4))) (@ F (@ tptp.comple7399068483239264473et_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_509894322932672675et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.set_nat tptp.product_unit)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_7928700340835332885t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6369283972875870912t_unit F) A4))) (@ F (@ tptp.comple7399068483239264473et_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_4454465170704313136t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.set_nat tptp.set_nat)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_1005506198798982270et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ F (@ tptp.comple7806235888213564991et_nat A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.set_nat tptp.product_unit)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_7928700340835332885t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.comple7806235888213564991et_nat A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6369283972875870912t_unit F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.set_nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_509894322932672675et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ F (@ tptp.comple2584293577114468500t_unit A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_4454465170704313136t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.comple2584293577114468500t_unit A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.pow_nat A4))) (let ((_let_2 (@ tptp.insert_nat A))) (= (@ tptp.pow_nat (@ _let_2 A4)) (@ (@ tptp.sup_sup_set_set_nat _let_1) (@ (@ tptp.image_7916887816326733075et_nat _let_2) _let_1)))))))
% 3.35/4.36  (assert (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.pow_Pr3466873192417945886at_nat A4))) (let ((_let_2 (@ tptp.insert8211810215607154385at_nat A))) (= (@ tptp.pow_Pr3466873192417945886at_nat (@ _let_2 A4)) (@ (@ tptp.sup_su3642409539654194069at_nat _let_1) (@ (@ tptp.image_3684629450409544005at_nat _let_2) _let_1)))))))
% 3.35/4.36  (assert (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.pow_Pr1023649790151954692at_nat A4))) (let ((_let_2 (@ tptp.insert9069300056098147895at_nat A))) (= (@ tptp.pow_Pr1023649790151954692at_nat (@ _let_2 A4)) (@ (@ tptp.sup_su474284620922681339at_nat _let_1) (@ (@ tptp.image_4303274092540115909at_nat _let_2) _let_1)))))))
% 3.35/4.36  (assert (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.pow_Product_unit A4))) (let ((_let_2 (@ tptp.insert_Product_unit A))) (= (@ tptp.pow_Product_unit (@ _let_2 A4)) (@ (@ tptp.sup_su5975557051335651745t_unit _let_1) (@ (@ tptp.image_4019945301284682565t_unit _let_2) _let_1)))))))
% 3.35/4.36  (assert (forall ((A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.pow_o A4))) (let ((_let_2 (@ tptp.insert_o A))) (= (@ tptp.pow_o (@ _let_2 A4)) (@ (@ tptp.sup_sup_set_set_o _let_1) (@ (@ tptp.image_set_o_set_o _let_2) _let_1)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_rat F) B5)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_nat F) B5)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (B5 tptp.set_int) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_int F) B5)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.vimage_int_nat F) B5)) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (B5 tptp.set_int) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.vimage_int_int F) B5)) A4)))))
% 3.35/4.36  (assert (= tptp.vimage4884490618288580032t_unit (lambda ((F2 (-> tptp.nat tptp.product_unit)) (B6 tptp.set_Product_unit)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) (@ (@ tptp.vimage4884490618288580032t_unit F2) (@ (@ tptp.insert_Product_unit Y5) tptp.bot_bo3957492148770167129t_unit)))) B6)))))
% 3.35/4.36  (assert (= tptp.vimage6435164912253009178at_nat (lambda ((F2 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (B6 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((Y5 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.vimage6435164912253009178at_nat F2) (@ (@ tptp.insert9069300056098147895at_nat Y5) tptp.bot_bo228742789529271731at_nat)))) B6)))))
% 3.35/4.36  (assert (= tptp.vimage8013328719654469172at_nat (lambda ((F2 (-> tptp.nat tptp.product_prod_nat_nat)) (B6 tptp.set_Pr1261947904930325089at_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.vimage8013328719654469172at_nat F2) (@ (@ tptp.insert8211810215607154385at_nat Y5) tptp.bot_bo2099793752762293965at_nat)))) B6)))))
% 3.35/4.36  (assert (= tptp.vimage_nat_o (lambda ((F2 (-> tptp.nat Bool)) (B6 tptp.set_o)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((Y5 Bool)) (@ (@ tptp.vimage_nat_o F2) (@ (@ tptp.insert_o Y5) tptp.bot_bot_set_o)))) B6)))))
% 3.35/4.36  (assert (= tptp.vimage_nat_nat (lambda ((F2 (-> tptp.nat tptp.nat)) (B6 tptp.set_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((Y5 tptp.nat)) (@ (@ tptp.vimage_nat_nat F2) (@ (@ tptp.insert_nat Y5) tptp.bot_bot_set_nat)))) B6)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (X2 tptp.rat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.member_rat X2) (@ (@ tptp.image_nat_rat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_rat A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_o_o F) A4)) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.member_o (@ (@ (@ tptp.the_inv_into_o_o A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (X2 Bool) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_nat_o F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_o A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (X2 Bool) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_o F) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_int_o F) A4)) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.member_int (@ (@ (@ tptp.the_inv_into_int_o A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 tptp.nat) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_nat F) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_o_nat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.member_o (@ (@ (@ tptp.the_inv_into_o_nat A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_nat_nat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_nat A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.nat) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_int_nat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.member_int (@ (@ (@ tptp.the_inv_into_int_nat A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 tptp.int) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_int F) A4) (=> (@ (@ tptp.member_int X2) (@ (@ tptp.image_o_int F) A4)) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.member_o (@ (@ (@ tptp.the_inv_into_o_int A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.int) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.member_int X2) (@ (@ tptp.image_nat_int F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_int A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.member_int X2) (@ (@ tptp.image_int_int F) A4)) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.member_int (@ (@ (@ tptp.the_inv_into_int_int A4) F) X2)) B5))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.rat)) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_rat F) _let_1) (=> (@ (@ tptp.inj_on_nat_nat G) A4) (=> (@ (@ tptp.member_rat X2) (@ (@ tptp.image_nat_rat F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_rat A4) (@ (@ tptp.comp_nat_rat_nat F) G)) X2) (@ (@ (@ tptp.comp_nat_nat_rat (@ (@ tptp.the_inv_into_nat_nat A4) G)) (@ (@ tptp.the_inv_into_nat_rat _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.num)) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_num F) _let_1) (=> (@ (@ tptp.inj_on_int_nat G) A4) (=> (@ (@ tptp.member_num X2) (@ (@ tptp.image_nat_num F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_num A4) (@ (@ tptp.comp_nat_num_int F) G)) X2) (@ (@ (@ tptp.comp_nat_int_num (@ (@ tptp.the_inv_into_int_nat A4) G)) (@ (@ tptp.the_inv_into_nat_num _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.rat)) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_rat F) _let_1) (=> (@ (@ tptp.inj_on_int_nat G) A4) (=> (@ (@ tptp.member_rat X2) (@ (@ tptp.image_nat_rat F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_rat A4) (@ (@ tptp.comp_nat_rat_int F) G)) X2) (@ (@ (@ tptp.comp_nat_int_rat (@ (@ tptp.the_inv_into_int_nat A4) G)) (@ (@ tptp.the_inv_into_nat_rat _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_o G) A4))) (let ((_let_2 (@ tptp.the_inv_into_nat_o A4))) (=> (@ (@ tptp.inj_on_o_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_o G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_o_o F) _let_1)) (= (@ (@ _let_2 (@ (@ tptp.comp_o_o_nat F) G)) X2) (@ (@ (@ tptp.comp_o_nat_o (@ _let_2 G)) (@ (@ tptp.the_inv_into_o_o _let_1) F)) X2)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat Bool)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_rat G) A4))) (=> (@ (@ tptp.inj_on_rat_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_rat G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_rat_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_o A4) (@ (@ tptp.comp_rat_o_nat F) G)) X2) (@ (@ (@ tptp.comp_rat_nat_o (@ (@ tptp.the_inv_into_nat_rat A4) G)) (@ (@ tptp.the_inv_into_rat_o _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_nat G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_nat_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_o A4) (@ (@ tptp.comp_nat_o_nat F) G)) X2) (@ (@ (@ tptp.comp_nat_nat_o (@ (@ tptp.the_inv_into_nat_nat A4) G)) (@ (@ tptp.the_inv_into_nat_o _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int Bool)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_int G) A4))) (=> (@ (@ tptp.inj_on_int_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_int G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_int_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_o A4) (@ (@ tptp.comp_int_o_nat F) G)) X2) (@ (@ (@ tptp.comp_int_nat_o (@ (@ tptp.the_inv_into_nat_int A4) G)) (@ (@ tptp.the_inv_into_int_o _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_o F) _let_1) (=> (@ (@ tptp.inj_on_int_nat G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_nat_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_o A4) (@ (@ tptp.comp_nat_o_int F) G)) X2) (@ (@ (@ tptp.comp_nat_int_o (@ (@ tptp.the_inv_into_int_nat A4) G)) (@ (@ tptp.the_inv_into_nat_o _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int Bool)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_int_int G) A4))) (=> (@ (@ tptp.inj_on_int_o F) _let_1) (=> (@ (@ tptp.inj_on_int_int G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_int_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_o A4) (@ (@ tptp.comp_int_o_int F) G)) X2) (@ (@ (@ tptp.comp_int_int_o (@ (@ tptp.the_inv_into_int_int A4) G)) (@ (@ tptp.the_inv_into_int_o _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (G (-> Bool Bool)) (A4 tptp.set_o) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_o G) A4))) (=> (@ (@ tptp.inj_on_o_nat F) _let_1) (=> (@ (@ tptp.inj_on_o_o G) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_o_nat F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_o_nat A4) (@ (@ tptp.comp_o_nat_o F) G)) X2) (@ (@ (@ tptp.comp_o_o_nat (@ (@ tptp.the_inv_into_o_o A4) G)) (@ (@ tptp.the_inv_into_o_nat _let_1) F)) X2))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int)) (Y3 tptp.int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ (@ tptp.image_int_int (@ (@ (@ tptp.fun_upd_int_int F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_int Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ (@ tptp.image_int_nat (@ (@ (@ tptp.fun_upd_int_nat F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_nat Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (Y3 tptp.product_unit)) (let ((_let_1 (@ tptp.image_5846526143423701914t_unit F))) (let ((_let_2 (@ (@ tptp.image_5846526143423701914t_unit (@ (@ (@ tptp.fun_up2220634978854545698t_unit F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_Product_unit Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int Bool)) (Y3 Bool)) (let ((_let_1 (@ tptp.image_int_o F))) (let ((_let_2 (@ (@ tptp.image_int_o (@ (@ (@ tptp.fun_upd_int_o F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_o Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.image_875570014554754200it_nat F))) (let ((_let_2 (@ (@ tptp.image_875570014554754200it_nat (@ (@ (@ tptp.fun_up6473050886840373792it_nat F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_Product_unit X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_nat Y3) (@ _let_1 (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (Y3 tptp.product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ (@ tptp.image_405062704495631173t_unit (@ (@ (@ tptp.fun_up6875000483049295805t_unit F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_Product_unit X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_Product_unit Y3) (@ _let_1 (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (F (-> tptp.product_unit Bool)) (Y3 Bool)) (let ((_let_1 (@ tptp.image_Product_unit_o F))) (let ((_let_2 (@ (@ tptp.image_Product_unit_o (@ (@ (@ tptp.fun_up5432024876597553480unit_o F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_Product_unit X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_o Y3) (@ _let_1 (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat)) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.image_o_nat F))) (let ((_let_2 (@ (@ tptp.image_o_nat (@ (@ (@ tptp.fun_upd_o_nat F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_o X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_nat Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_o A4) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (Y3 tptp.product_unit)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ (@ tptp.image_o_Product_unit (@ (@ (@ tptp.fun_up846054379331416818t_unit F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_o X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_Product_unit Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_o A4) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool Bool)) (Y3 Bool)) (let ((_let_1 (@ tptp.image_o_o F))) (let ((_let_2 (@ (@ tptp.image_o_o (@ (@ (@ tptp.fun_upd_o_o F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_o X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_o Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_o A4) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_nat _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.int tptp.int)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.product_unit tptp.int)) (I3 tptp.set_Product_unit)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> Bool tptp.int)) (I3 tptp.set_o)) (let ((_let_1 (@ (@ tptp.image_o_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.nat tptp.int)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> tptp.int tptp.product_unit)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> tptp.product_unit tptp.product_unit)) (I3 tptp.set_Product_unit)) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> Bool tptp.product_unit)) (I3 tptp.set_o)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> tptp.nat tptp.product_unit)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_nat F) (=> (@ tptp.condit5488710616941104124bove_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ F (@ tptp.complete_Sup_Sup_o A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ F (@ tptp.complete_Sup_Sup_nat A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ F (@ tptp.complete_Sup_Sup_int A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit A4) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_int F) (=> (@ tptp.condit5488710616941104124bove_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) A4))) (@ F (@ tptp.complete_Sup_Sup_o A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int F) A4))) (@ F (@ tptp.complete_Sup_Sup_nat A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit2212336002400062152ve_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ F (@ tptp.complete_Sup_Sup_int A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_unit tptp.int)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_7093624213399680841it_int F) (=> (@ tptp.condit2080475194861589617t_unit A4) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))))))
% 3.35/4.36  (assert (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ tptp.order_7782127260464396005t_unit F) (=> (@ tptp.condit5488710616941104124bove_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ F (@ tptp.complete_Sup_Sup_o A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ F (@ tptp.complete_Sup_Sup_nat A4))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.nat tptp.rat)) (A13 tptp.set_nat) (B1 tptp.set_rat) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_rat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We7904740386373615514nt_rat B22) B1) (@ (@ tptp.image_1904597124500147013nt_rat (@ (@ (@ tptp.bNF_We576767280138975660at_int B22) F1) F22)) (@ (@ tptp.bNF_We8539870446460111250nt_nat A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.nat tptp.nat)) (A13 tptp.set_nat) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_5412825682893543741nt_nat (@ (@ (@ tptp.bNF_We893321924073841572at_int B22) F1) F22)) (@ (@ tptp.bNF_We8539870446460111250nt_nat A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.nat tptp.int)) (A13 tptp.set_nat) (B1 tptp.set_int) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_1234974663384347033nt_int (@ (@ (@ tptp.bNF_We1892675635974896128nt_int B22) F1) F22)) (@ (@ tptp.bNF_We8539870446460111250nt_nat A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.int tptp.nat)) (A13 tptp.set_int) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_int_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_1600535827742230425nt_nat (@ (@ (@ tptp.bNF_We1264975484310686208at_int B22) F1) F22)) (@ (@ tptp.bNF_We8537379975951060974nt_int A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.int tptp.int)) (A13 tptp.set_int) (B1 tptp.set_int) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_int_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_6646056845087809525nt_int (@ (@ (@ tptp.bNF_We2264329196211740764nt_int B22) F1) F22)) (@ (@ tptp.bNF_We8537379975951060974nt_int A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.nat tptp.rat)) (A13 tptp.set_nat) (B1 tptp.set_rat) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_rat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We7904740386373615514nt_rat B22) B1) (@ (@ tptp.image_696479991571767017nt_rat (@ (@ (@ tptp.bNF_We579257750648025936at_nat B22) F1) F22)) (@ (@ tptp.bNF_We7540516734559056694at_nat A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.nat tptp.nat)) (A13 tptp.set_nat) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_4204708549965163745nt_nat (@ (@ (@ tptp.bNF_We895812394582891848at_nat B22) F1) F22)) (@ (@ tptp.bNF_We7540516734559056694at_nat A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.nat tptp.int)) (A13 tptp.set_nat) (B1 tptp.set_int) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_26857530455967037nt_int (@ (@ (@ tptp.bNF_We1895166106483946404nt_nat B22) F1) F22)) (@ (@ tptp.bNF_We7540516734559056694at_nat A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.int tptp.nat)) (A13 tptp.set_int) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_int_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_392418694813850429nt_nat (@ (@ (@ tptp.bNF_We1267465954819736484at_nat B22) F1) F22)) (@ (@ tptp.bNF_We7538026264050006418at_int A24) A13)))))))))
% 3.35/4.36  (assert (forall ((F1 (-> tptp.int tptp.int)) (A13 tptp.set_int) (B1 tptp.set_int) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_int_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_5437939712159429529nt_int (@ (@ (@ tptp.bNF_We2266819666720791040nt_nat B22) F1) F22)) (@ (@ tptp.bNF_We7538026264050006418at_int A24) A13)))))))))
% 3.35/4.36  (assert (= tptp.bNF_Ca6037544080215331608at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (R5 tptp.set_Pr7459493094073627847at_nat)) (forall ((X4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X4) (@ tptp.field_1428494348145443988at_nat R5)) (exists ((Y5 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.member6273874620674182256at_nat Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R5))))))))
% 3.35/4.36  (assert (= tptp.bNF_Ca8448034394003515314at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (R5 tptp.set_Pr4329608150637261639at_nat)) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) (@ tptp.field_3145993188331922222at_nat R5)) (exists ((Y5 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.member2643936169264416010at_nat Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R5))))))))
% 3.35/4.36  (assert (= tptp.bNF_Ca5159621140400407487al_nat (lambda ((A6 tptp.set_nat) (R5 tptp.set_Pr1261947904930325089at_nat)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) (@ tptp.field_nat R5)) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R5))))))))
% 3.35/4.36  (assert (= tptp.bNF_Ca5157130669891357211al_int (lambda ((A6 tptp.set_int) (R5 tptp.set_Pr958786334691620121nt_int)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) (@ tptp.field_int R5)) (exists ((Y5 tptp.int)) (and (@ (@ tptp.member_int Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R5))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr7459493094073627847at_nat)) (=> (@ (@ tptp.total_5117575981256876747at_nat (@ tptp.field_1428494348145443988at_nat R)) R) (=> (@ (@ tptp.ord_le5997549366648089703at_nat R) tptp.id_set4888139568991089827at_nat) (or (= R tptp.bot_bo4948859079157340979at_nat) (exists ((A3 tptp.set_Pr4329608150637261639at_nat)) (= R (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat A3) A3)) tptp.bot_bo4948859079157340979at_nat))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.total_on_int (@ tptp.field_int R)) R) (=> (@ (@ tptp.ord_le2843351958646193337nt_int R) tptp.id_int2) (or (= R tptp.bot_bo1796632182523588997nt_int) (exists ((A3 tptp.int)) (= R (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int A3) A3)) tptp.bot_bo1796632182523588997nt_int))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr8693737435421807431at_nat)) (=> (@ (@ tptp.total_3592101749530773125at_nat (@ tptp.field_4706345496283612622at_nat R)) R) (=> (@ (@ tptp.ord_le3000389064537975527at_nat R) tptp.id_Pro2258643101195443293at_nat) (or (= R tptp.bot_bo5327735625951526323at_nat) (exists ((A3 tptp.product_prod_nat_nat)) (= R (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat A3) A3)) tptp.bot_bo5327735625951526323at_nat))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.total_7212417256332265445at_nat (@ tptp.field_3145993188331922222at_nat R)) R) (=> (@ (@ tptp.ord_le1268244103169919719at_nat R) tptp.id_set1796276052702428605at_nat) (or (= R tptp.bot_bo228742789529271731at_nat) (exists ((A3 tptp.set_Pr1261947904930325089at_nat)) (= R (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat A3) A3)) tptp.bot_bo228742789529271731at_nat))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.total_on_nat (@ tptp.field_nat R)) R) (=> (@ (@ tptp.ord_le3146513528884898305at_nat R) tptp.id_nat2) (or (= R tptp.bot_bo2099793752762293965at_nat) (exists ((A3 tptp.nat)) (= R (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat A3) A3)) tptp.bot_bo2099793752762293965at_nat))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) (@ (@ tptp.image_int_int F) A4)) (not (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.rat)) (and (@ (@ tptp.member_rat X) (@ (@ tptp.image_nat_rat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X) tptp.bot_bot_set_rat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) (@ (@ tptp.image_nat_int F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_nat_o F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_nat_o F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_int_nat F) A4)) (not (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_nat_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage3104651464403166471t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage8013328719654469172at_nat F) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage2444243245536687506_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (not (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int Y) tptp.bot_bot_set_int))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.rat)) (=> (@ (@ tptp.member_rat Y) (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat Y) tptp.bot_bot_set_rat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int Y) tptp.bot_bot_set_int))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit Y) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit Y) tptp.bot_bo3957492148770167129t_unit))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_nat_o F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ (@ tptp.image_nat_o F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.insert_o Y) tptp.bot_bot_set_o))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (not (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.insert_nat Y) tptp.bot_bot_set_nat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.insert_nat Y) tptp.bot_bot_set_nat))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.int)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_2483585944268220136at_int F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (not (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ (@ tptp.image_2483585944268220136at_int F) A4)) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage4650790856102703794at_int F) (@ (@ tptp.insert_int Y) tptp.bot_bot_set_int))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (not (forall ((Y tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit Y) (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage3104651464403166471t_unit F) (@ (@ tptp.insert_Product_unit Y) tptp.bot_bo3957492148770167129t_unit))) A4)))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage8013328719654469172at_nat F) (@ (@ tptp.insert8211810215607154385at_nat Y) tptp.bot_bo2099793752762293965at_nat))) A4)))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.basic_5713354656523905413at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.insert2290795007606087959at_nat Y3) tptp.bot_bo1534825418459847827at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.basic_484852565060450053at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.insert9200635055090092081at_nat Y3) tptp.bot_bo3083307316010499117at_nat))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.basic_snds_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.insert_num Y3) tptp.bot_bot_set_num))))
% 3.35/4.36  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.basic_snds_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.insert_int Y3) tptp.bot_bot_set_int))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.basic_snds_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.insert_nat Y3) tptp.bot_bot_set_nat))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ tptp.field_2862844103579723188at_nat R))) (=> (@ (@ tptp.order_2711500226769404828at_nat _let_1) R) (=> (@ (@ tptp.member8757157785044589968at_nat A) _let_1) (=> (@ (@ tptp.member8757157785044589968at_nat B) _let_1) (= (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R) (not (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat B) A)) (@ (@ tptp.minus_8235382265540049710at_nat R) tptp.id_Pro5428700290092274115at_nat))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Product_prod_o_o) (A Bool) (B Bool)) (let ((_let_1 (@ tptp.field_o R))) (=> (@ (@ tptp.order_6238756238976269133r_on_o _let_1) R) (=> (@ (@ tptp.member_o A) _let_1) (=> (@ (@ tptp.member_o B) _let_1) (= (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R) (not (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o B) A)) (@ (@ tptp.minus_7052513330764642158od_o_o R) tptp.id_o2))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.field_4706345496283612622at_nat R))) (=> (@ (@ tptp.order_7480980593162297270at_nat _let_1) R) (=> (@ (@ tptp.member8440522571783428010at_nat A) _let_1) (=> (@ (@ tptp.member8440522571783428010at_nat B) _let_1) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R) (not (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat B) A)) (@ (@ tptp.minus_8321449233255521966at_nat R) tptp.id_Pro2258643101195443293at_nat))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.field_1428494348145443988at_nat R))) (=> (@ (@ tptp.order_1878278401035043452at_nat _let_1) R) (=> (@ (@ tptp.member6273874620674182256at_nat A) _let_1) (=> (@ (@ tptp.member6273874620674182256at_nat B) _let_1) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R) (not (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat B) A)) (@ (@ tptp.minus_8674369445256047406at_nat R) tptp.id_set4888139568991089827at_nat))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.field_3145993188331922222at_nat R))) (=> (@ (@ tptp.order_5942792088423767318at_nat _let_1) R) (=> (@ (@ tptp.member2643936169264416010at_nat A) _let_1) (=> (@ (@ tptp.member2643936169264416010at_nat B) _let_1) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R) (not (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat B) A)) (@ (@ tptp.minus_3314409938677909166at_nat R) tptp.id_set1796276052702428605at_nat))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.field_nat R))) (=> (@ (@ tptp.order_4473980167227706203on_nat _let_1) R) (=> (@ (@ tptp.member_nat A) _let_1) (=> (@ (@ tptp.member_nat B) _let_1) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) A)) (@ (@ tptp.minus_1356011639430497352at_nat R) tptp.id_nat2))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr958786334691620121nt_int) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.field_int R))) (=> (@ (@ tptp.order_4471489696718655927on_int _let_1) R) (=> (@ (@ tptp.member_int A) _let_1) (=> (@ (@ tptp.member_int B) _let_1) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) A)) (@ (@ tptp.minus_1052850069191792384nt_int R) tptp.id_int2))))))))))
% 3.35/4.36  (assert (= tptp.order_4940263126897443436at_nat (lambda ((R5 tptp.set_Pr8693737435421807431at_nat) (A5 tptp.product_prod_nat_nat)) (@ tptp.collec3392354462482085612at_nat (lambda ((B4 tptp.product_prod_nat_nat)) (and (not (= B4 A5)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A5) B4)) R5)))))))
% 3.35/4.36  (assert (= tptp.order_1761765819289301284nt_int (lambda ((R5 tptp.set_Pr2560585780119916871nt_int) (A5 tptp.product_prod_int_int)) (@ tptp.collec213857154873943460nt_int (lambda ((B4 tptp.product_prod_int_int)) (and (not (= B4 A5)) (@ (@ tptp.member8566619992076573584nt_int (@ (@ tptp.produc3646306378393792727nt_int A5) B4)) R5)))))))
% 3.35/4.36  (assert (= tptp.order_2442354982230848562at_nat (lambda ((R5 tptp.set_Pr7459493094073627847at_nat) (A5 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.collec4573900263915890866at_nat (lambda ((B4 tptp.set_Pr4329608150637261639at_nat)) (and (not (= B4 A5)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A5) B4)) R5)))))))
% 3.35/4.36  (assert (= tptp.order_4440095836999870412at_nat (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (A5 tptp.set_Pr1261947904930325089at_nat)) (@ tptp.collec5514110066124741708at_nat (lambda ((B4 tptp.set_Pr1261947904930325089at_nat)) (and (not (= B4 A5)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A5) B4)) R5)))))))
% 3.35/4.36  (assert (= tptp.order_aboveS_nat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (A5 tptp.nat)) (@ tptp.collect_nat (lambda ((B4 tptp.nat)) (and (not (= B4 A5)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A5) B4)) R5)))))))
% 3.35/4.36  (assert (= tptp.order_aboveS_int (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (A5 tptp.int)) (@ tptp.collect_int (lambda ((B4 tptp.int)) (and (not (= B4 A5)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A5) B4)) R5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_rat A4) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.vimage_nat_rat F) A4)) (@ tptp.finite_card_rat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.vimage_nat_nat F) A4)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.vimage_nat_int F) A4)) (@ tptp.finite_card_int A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.image_int_nat F) tptp.top_top_set_int)) (= (@ tptp.finite_card_int (@ (@ tptp.vimage_int_nat F) A4)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.image_int_int F) tptp.top_top_set_int)) (= (@ tptp.finite_card_int (@ (@ tptp.vimage_int_int F) A4)) (@ tptp.finite_card_int A4))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr7459493094073627847at_nat)) (let ((_let_1 (@ tptp.field_1428494348145443988at_nat R))) (=> (@ (@ tptp.order_1878278401035043452at_nat _let_1) R) (= (@ (@ tptp.order_423636163458052581at_nat _let_1) R) (forall ((A6 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.ord_le7966958417815640519at_nat A6) (@ tptp.field_1428494348145443988at_nat R)) (=> (not (= A6 tptp.bot_bo1534825418459847827at_nat)) (exists ((X4 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.member6273874620674182256at_nat X4) A6) (forall ((Y5 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat Y5) A6) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.field_3145993188331922222at_nat R))) (=> (@ (@ tptp.order_5942792088423767318at_nat _let_1) R) (= (@ (@ tptp.order_1968183844437341695at_nat _let_1) R) (forall ((A6 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.ord_le2077887516847798113at_nat A6) (@ tptp.field_3145993188331922222at_nat R)) (=> (not (= A6 tptp.bot_bo3083307316010499117at_nat)) (exists ((X4 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.member2643936169264416010at_nat X4) A6) (forall ((Y5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat Y5) A6) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.field_int R))) (=> (@ (@ tptp.order_4471489696718655927on_int _let_1) R) (= (@ (@ tptp.order_2886507596567047182on_int _let_1) R) (forall ((A6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int A6) (@ tptp.field_int R)) (=> (not (= A6 tptp.bot_bot_set_int)) (exists ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A6) (forall ((Y5 tptp.int)) (=> (@ (@ tptp.member_int Y5) A6) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr5094982260447487303t_unit)) (let ((_let_1 (@ tptp.field_Product_unit R))) (=> (@ (@ tptp.order_888282469287196226t_unit _let_1) R) (= (@ (@ tptp.order_3164716736300062379t_unit _let_1) R) (forall ((A6 tptp.set_Product_unit)) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A6) (@ tptp.field_Product_unit R)) (=> (not (= A6 tptp.bot_bo3957492148770167129t_unit)) (exists ((X4 tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X4) A6) (forall ((Y5 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit Y5) A6) (@ (@ tptp.member7821138191923116944t_unit (@ (@ tptp.produc5692694829384537815t_unit X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr5564308138774400199at_nat)) (let ((_let_1 (@ tptp.field_2862844103579723188at_nat R))) (=> (@ (@ tptp.order_2711500226769404828at_nat _let_1) R) (= (@ (@ tptp.order_2339240034117818117at_nat _let_1) R) (forall ((A6 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A6) (@ tptp.field_2862844103579723188at_nat R)) (=> (not (= A6 tptp.bot_bo228742789529271731at_nat)) (exists ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) A6) (forall ((Y5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat Y5) A6) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.field_4706345496283612622at_nat R))) (=> (@ (@ tptp.order_7480980593162297270at_nat _let_1) R) (= (@ (@ tptp.order_8331247224601271455at_nat _let_1) R) (forall ((A6 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A6) (@ tptp.field_4706345496283612622at_nat R)) (=> (not (= A6 tptp.bot_bo2099793752762293965at_nat)) (exists ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) A6) (forall ((Y5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) A6) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Product_prod_o_o)) (let ((_let_1 (@ tptp.field_o R))) (=> (@ (@ tptp.order_6238756238976269133r_on_o _let_1) R) (= (@ (@ tptp.order_2615775362358406454r_on_o _let_1) R) (forall ((A6 tptp.set_o)) (=> (@ (@ tptp.ord_less_eq_set_o A6) (@ tptp.field_o R)) (=> (not (= A6 tptp.bot_bot_set_o)) (exists ((X4 Bool)) (and (@ (@ tptp.member_o X4) A6) (forall ((Y5 Bool)) (=> (@ (@ tptp.member_o Y5) A6) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((R tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.field_nat R))) (=> (@ (@ tptp.order_4473980167227706203on_nat _let_1) R) (= (@ (@ tptp.order_2888998067076097458on_nat _let_1) R) (forall ((A6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A6) (@ tptp.field_nat R)) (=> (not (= A6 tptp.bot_bot_set_nat)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A6) (forall ((Y5 tptp.nat)) (=> (@ (@ tptp.member_nat Y5) A6) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R)))))))))))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_int) (H (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int F4) (@ tptp.finite_finite_int (@ (@ tptp.image_int_int H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_int) (H (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int F4) (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (H (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat F4) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (H (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ tptp.finite6177210948735845034at_nat F4) (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat H) F4)))))
% 3.35/4.36  (assert (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat H) F4)))))
% 3.35/4.36  (assert (forall ((A tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) A)) tptp.id_Pro2258643101195443293at_nat)))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) A)) tptp.id_set4888139568991089827at_nat)))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) A)) tptp.id_set1796276052702428605at_nat)))
% 3.35/4.36  (assert (forall ((A tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) A)) tptp.id_nat2)))
% 3.35/4.36  (assert (forall ((A tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) A)) tptp.id_int2)))
% 3.35/4.36  (assert (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) tptp.id_Pro2258643101195443293at_nat) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) tptp.id_set4888139568991089827at_nat) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) tptp.id_set1796276052702428605at_nat) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) tptp.id_nat2) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) tptp.id_int2) (= A B))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (= (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat B5) A4))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 X4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_nat A4) (= (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat B5) A4))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 X4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (= (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ tptp.finite_finite_nat (@ B5 X4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat A4) (= (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ tptp.finite_finite_nat (@ B5 X4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite4343798906461161616at_nat A4) (=> (forall ((A3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7979982168039674559at_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_o A4) (=> (forall ((A3 Bool)) (=> (@ (@ tptp.member_o A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_int A4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_8938366415781434990at_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_nat A4) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ tptp.finite4343798906461161616at_nat A4) (=> (forall ((A3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ tptp.finite_finite_o A4) (=> (forall ((A3 Bool)) (=> (@ (@ tptp.member_o A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ tptp.finite_finite_int A4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat A4) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat I3) (= (@ tptp.condit1738341127787009408ow_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (@ tptp.condit1738341127787009408ow_nat (@ A4 X4))))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat I3) (= (@ tptp.condit1738341127787009408ow_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (@ tptp.condit1738341127787009408ow_nat (@ A4 X4))))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat I3) (= (@ tptp.condit2214826472909112428ve_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (@ tptp.condit2214826472909112428ve_nat (@ A4 X4))))))))
% 3.35/4.36  (assert (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat I3) (= (@ tptp.condit2214826472909112428ve_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (@ tptp.condit2214826472909112428ve_nat (@ A4 X4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.finite_card_int A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.finite_card_int A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.finite_card_nat A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.finite_card_nat A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4))) (@ tptp.finite_card_nat A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat B5)) (@ tptp.finite_card_int A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int B5)) (@ tptp.finite_card_int A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_rat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_rat B5)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat B5)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int B5)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (=> (= (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_card_int A4)) (@ (@ tptp.inj_on_int_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (= (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_card_int A4)) (@ (@ tptp.inj_on_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (=> (= (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_card_nat A4)) (@ (@ tptp.inj_on_nat_rat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (= (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_card_nat A4)) (@ (@ tptp.inj_on_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (=> (= (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_card_nat A4)) (@ (@ tptp.inj_on_nat_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (= (@ (@ tptp.inj_on_int_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_card_int A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (= (@ (@ tptp.inj_on_int_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_card_int A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (= (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (= (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (= (@ (@ tptp.inj_on_nat_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_card_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.order_2339240034117818117at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R) (and (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (@ (@ tptp.order_8331247224601271455at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R) (and (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (A Bool) (B Bool)) (=> (@ (@ tptp.order_2615775362358406454r_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_o B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.order_423636163458052581at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R) (and (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member6273874620674182256at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.order_1968183844437341695at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R) (and (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member2643936169264416010at_nat B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.order_2886507596567047182on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_int B) A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.order_2888998067076097458on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_nat B) A4))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_rat)) (=> (not (@ tptp.finite_finite_rat S5)) (exists ((F5 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F5) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F5) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_int)) (=> (not (@ tptp.finite_finite_int S5)) (exists ((F5 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F5) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F5) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat)) (=> (not (@ tptp.finite6177210948735845034at_nat S5)) (exists ((F5 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F5) tptp.top_top_set_nat) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F5) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat)) (=> (not (@ tptp.finite_finite_nat S5)) (exists ((F5 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F5) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F5) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_rat)) (= (not (@ tptp.finite_finite_rat S5)) (exists ((F2 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F2) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F2) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_int)) (= (not (@ tptp.finite_finite_int S5)) (exists ((F2 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F2) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F2) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat)) (= (not (@ tptp.finite6177210948735845034at_nat S5)) (exists ((F2 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F2) tptp.top_top_set_nat) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F2) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat)) (= (not (@ tptp.finite_finite_nat S5)) (exists ((F2 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F2) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F2) tptp.top_top_set_nat)) S5))))))
% 3.35/4.36  (assert (forall ((P tptp.produc859450856879609959at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat P) tptp.id_Pro2258643101195443293at_nat) (not (forall ((X tptp.product_prod_nat_nat)) (not (= P (@ (@ tptp.produc6161850002892822231at_nat X) X))))))))
% 3.35/4.36  (assert (forall ((P tptp.produc1319942482725812455at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat P) tptp.id_set4888139568991089827at_nat) (not (forall ((X tptp.set_Pr4329608150637261639at_nat)) (not (= P (@ (@ tptp.produc9060074326276436823at_nat X) X))))))))
% 3.35/4.36  (assert (forall ((P tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat P) tptp.id_set1796276052702428605at_nat) (not (forall ((X tptp.set_Pr1261947904930325089at_nat)) (not (= P (@ (@ tptp.produc2922128104949294807at_nat X) X))))))))
% 3.35/4.36  (assert (forall ((P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat P) tptp.id_nat2) (not (forall ((X tptp.nat)) (not (= P (@ (@ tptp.product_Pair_nat_nat X) X))))))))
% 3.35/4.36  (assert (forall ((P tptp.product_prod_int_int)) (=> (@ (@ tptp.member5262025264175285858nt_int P) tptp.id_int2) (not (forall ((X tptp.int)) (not (= P (@ (@ tptp.product_Pair_int_int X) X))))))))
% 3.35/4.36  (assert (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) tptp.id_Pro2258643101195443293at_nat) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) tptp.id_set4888139568991089827at_nat) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) tptp.id_set1796276052702428605at_nat) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) tptp.id_nat2) (= A B))))
% 3.35/4.36  (assert (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) tptp.id_int2) (= A B))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (=> (@ (@ tptp.inj_on_int_int G) B5) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int G) B5)) A4) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_int B5) (= (@ tptp.finite_card_int A4) (@ tptp.finite_card_int B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.nat)) (A4 tptp.set_rat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.inj_on_rat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat F) A4)) B5) (=> (@ (@ tptp.inj_on_nat_rat G) B5) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat G) B5)) A4) (=> (@ tptp.finite_finite_rat A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite_card_rat A4) (@ tptp.finite_card_nat B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (=> (@ (@ tptp.inj_on_nat_int G) B5) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int G) B5)) A4) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite_card_int A4) (@ tptp.finite_card_nat B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) B5) (=> (@ (@ tptp.inj_on8969904277767023793at_nat G) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat G) B5)) A4) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (@ tptp.finite711546835091564841at_nat A4) (@ tptp.finite711546835091564841at_nat B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) B5) (=> (@ (@ tptp.inj_on5538052773655684606at_nat G) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat G) B5)) A4) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite711546835091564841at_nat A4) (@ tptp.finite_card_nat B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat) (G (-> tptp.rat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (=> (@ (@ tptp.inj_on_rat_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_rat B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite_card_rat B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (=> (@ (@ tptp.inj_on_int_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_int B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite_card_int B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (G (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) B5) (=> (@ (@ tptp.inj_on2178005380612969504at_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite711546835091564841at_nat B5))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (=> (@ (@ tptp.inj_on_nat_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite_card_nat B5))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_int B5)) (exists ((F5 (-> tptp.int tptp.int))) (and (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F5) A4)) B5) (@ (@ tptp.inj_on_int_int F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_nat B5)) (exists ((F5 (-> tptp.int tptp.nat))) (and (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F5) A4)) B5) (@ (@ tptp.inj_on_int_nat F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite711546835091564841at_nat B5)) (exists ((F5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F5) A4)) B5) (@ (@ tptp.inj_on8969904277767023793at_nat F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite_card_nat B5)) (exists ((F5 (-> tptp.product_prod_nat_nat tptp.nat))) (and (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F5) A4)) B5) (@ (@ tptp.inj_on2178005380612969504at_nat F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_rat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_rat B5)) (exists ((F5 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F5) A4)) B5) (@ (@ tptp.inj_on_nat_rat F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_int B5)) (exists ((F5 (-> tptp.nat tptp.int))) (and (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F5) A4)) B5) (@ (@ tptp.inj_on_nat_int F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite711546835091564841at_nat B5)) (exists ((F5 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F5) A4)) B5) (@ (@ tptp.inj_on5538052773655684606at_nat F5) A4))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_nat B5)) (exists ((F5 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F5) A4)) B5) (@ (@ tptp.inj_on_nat_nat F5) A4))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (=> (@ tptp.finite_finite_rat B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_rat B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_int B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_int B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_nat B5)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_nat B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_int B5) (= (exists ((F2 (-> tptp.int tptp.int))) (and (@ (@ tptp.inj_on_int_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_int B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_nat B5) (= (exists ((F2 (-> tptp.int tptp.nat))) (and (@ (@ tptp.inj_on_int_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_nat B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (exists ((F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on8969904277767023793at_nat F2) A4) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite711546835091564841at_nat B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (exists ((F2 (-> tptp.product_prod_nat_nat tptp.nat))) (and (@ (@ tptp.inj_on2178005380612969504at_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite_card_nat B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_rat B5) (= (exists ((F2 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F2) A4) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_rat B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_int B5) (= (exists ((F2 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_int B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (exists ((F2 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F2) A4) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite711546835091564841at_nat B5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (exists ((F2 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_nat B5)))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_int) (T3 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_int T3) (=> (= (@ tptp.finite_card_int S5) (@ tptp.finite_card_int T3)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) S5)) T3) (= (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) T3) (exists ((Y5 tptp.int)) (and (@ (@ tptp.member_int Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_int_int F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_int) (T3 tptp.set_nat) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_nat T3) (=> (= (@ tptp.finite_card_int S5) (@ tptp.finite_card_nat T3)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) S5)) T3) (= (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) T3) (exists ((Y5 tptp.int)) (and (@ (@ tptp.member_int Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_int_nat F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat S5) (=> (@ tptp.finite6177210948735845034at_nat T3) (=> (= (@ tptp.finite711546835091564841at_nat S5) (@ tptp.finite711546835091564841at_nat T3)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F) S5)) T3) (= (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) T3) (exists ((Y5 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on8969904277767023793at_nat F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ tptp.finite6177210948735845034at_nat S5) (=> (@ tptp.finite_finite_nat T3) (=> (= (@ tptp.finite711546835091564841at_nat S5) (@ tptp.finite_card_nat T3)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) S5)) T3) (= (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) T3) (exists ((Y5 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on2178005380612969504at_nat F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat) (T3 tptp.set_rat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite_finite_rat T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite_card_rat T3)) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) S5)) T3) (= (forall ((X4 tptp.rat)) (=> (@ (@ tptp.member_rat X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_nat_rat F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat) (T3 tptp.set_int) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite_finite_int T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite_card_int T3)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) S5)) T3) (= (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_nat_int F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat) (T3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite6177210948735845034at_nat T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite711546835091564841at_nat T3)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) S5)) T3) (= (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on5538052773655684606at_nat F) S5))))))))
% 3.35/4.36  (assert (forall ((S5 tptp.set_nat) (T3 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite_finite_nat T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite_card_nat T3)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) S5)) T3) (= (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_nat_nat F) S5))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (not (@ tptp.finite_finite_int A4)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (not (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((A5 tptp.int)) (and (@ (@ tptp.member_int A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat))) (=> (not (@ tptp.finite_finite_o A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_o_nat F) A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) A4) (not (@ tptp.finite_finite_o (@ tptp.collect_o (lambda ((A5 Bool)) (and (@ (@ tptp.member_o A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (not (@ tptp.finite_finite_int A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (not (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((A5 tptp.int)) (and (@ (@ tptp.member_int A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (not (@ tptp.finite_finite_nat A4)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (not (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((A5 tptp.nat)) (and (@ (@ tptp.member_nat A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (not (@ tptp.finite_finite_nat A4)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (not (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((A5 tptp.nat)) (and (@ (@ tptp.member_nat A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (not (@ tptp.finite_finite_nat A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (not (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((A5 tptp.nat)) (and (@ (@ tptp.member_nat A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_prod_nat_nat))) (=> (not (@ tptp.finite_finite_o A4)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_3855930084881510382at_nat F) A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) A4) (not (@ tptp.finite_finite_o (@ tptp.collect_o (lambda ((A5 Bool)) (and (@ (@ tptp.member_o A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_prod_nat_nat))) (=> (not (@ tptp.finite_finite_int A4)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_8883965892284119310at_nat F) A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (not (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((A5 tptp.int)) (and (@ (@ tptp.member_int A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.product_prod_int_int tptp.nat))) (=> (not (@ tptp.finite2998713641127702882nt_int A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_5044651549707136836nt_nat F) A4)) (exists ((X tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X) A4) (not (@ tptp.finite2998713641127702882nt_int (@ tptp.collec213857154873943460nt_int (lambda ((A5 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) A4) (not (@ tptp.finite6177210948735845034at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((A5 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat A5) A4) (= (@ F A5) (@ F X)))))))))))))
% 3.35/4.36  (assert (forall ((P tptp.produc7812382424243267045t_unit)) (@ (@ tptp.member242389114213480694t_unit (@ tptp.produc1126150082675451753t_unit P)) (@ tptp.basic_1496934909540232809t_unit P))))
% 3.35/4.36  (assert (forall ((A tptp.heap_e7401611519738050253t_unit) (P tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.member242389114213480694t_unit A) (@ tptp.basic_1496934909540232809t_unit P)) (= A (@ tptp.produc1126150082675451753t_unit P)))))
% 3.35/4.36  (assert (forall ((A tptp.heap_e7401611519738050253t_unit) (P tptp.produc7812382424243267045t_unit)) (=> (@ (@ tptp.member242389114213480694t_unit A) (@ tptp.basic_1496934909540232809t_unit P)) (= A (@ tptp.produc1126150082675451753t_unit P)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_card_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_card_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_card_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_card_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_card_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_int_int F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4)) (@ P2 (@ (@ tptp.image_int_int F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.set_rat Bool))) (= (forall ((B6 tptp.set_rat)) (=> (and (@ tptp.finite_finite_rat B6) (@ (@ tptp.ord_less_eq_set_rat B6) (@ (@ tptp.image_nat_rat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_nat_rat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_nat_int F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_nat_int F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5168914502847457605at_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4)) (@ P2 (@ (@ tptp.image_5168914502847457605at_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5846123807819985514at_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_5846123807819985514at_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_int_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4)) (@ P2 (@ (@ tptp.image_int_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_2486076414777270412at_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4)) (@ P2 (@ (@ tptp.image_2486076414777270412at_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_nat_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_nat_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.set_int Bool))) (= (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_int_int F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_int F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.set_rat Bool))) (= (exists ((B6 tptp.set_rat)) (and (@ tptp.finite_finite_rat B6) (@ (@ tptp.ord_less_eq_set_rat B6) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_rat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.set_int Bool))) (= (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_nat_int F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_int F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4) (@ P2 (@ (@ tptp.image_5168914502847457605at_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_5846123807819985514at_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.set_nat Bool))) (= (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_int_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_nat Bool))) (= (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4) (@ P2 (@ (@ tptp.image_2486076414777270412at_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_nat Bool))) (= (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_nat F) B6)))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (exists ((C2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int C2) A4) (@ tptp.finite_finite_int C2) (= B5 (@ (@ tptp.image_int_int F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat B5) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_nat_rat F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_nat_int F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (exists ((C2 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.ord_le3146513528884898305at_nat C2) A4) (@ tptp.finite6177210948735845034at_nat C2) (= B5 (@ (@ tptp.image_5168914502847457605at_nat F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_5846123807819985514at_nat F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (exists ((C2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int C2) A4) (@ tptp.finite_finite_int C2) (= B5 (@ (@ tptp.image_int_nat F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (exists ((C2 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.ord_le3146513528884898305at_nat C2) A4) (@ tptp.finite6177210948735845034at_nat C2) (= B5 (@ (@ tptp.image_2486076414777270412at_nat F) C2))))))))
% 3.35/4.36  (assert (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_nat_nat F) C2))))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_finite_int B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_finite_nat B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (@ tptp.finite_finite_nat B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_rat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_finite_rat B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_finite_int B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat B5)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_finite_nat B5)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_finite_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (= (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (= (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (= (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_finite_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (= (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ tptp.finite_finite_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (@ tptp.finite6177210948735845034at_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ tptp.finite_finite_int A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (@ tptp.finite6177210948735845034at_nat A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ tptp.finite_finite_nat A4)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.char tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)) (@ tptp.finite_finite_nat (@ (@ tptp.image_char_nat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)) (@ tptp.finite_finite_nat (@ (@ tptp.image_rat_nat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.rat))) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.int))) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.rat))) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int G) tptp.top_top_set_nat)) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int G) tptp.top_top_set_nat)) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.nat))) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int G) tptp.top_top_set_nat)) (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (= tptp.id_Pro2258643101195443293at_nat (@ tptp.collec7088162979684241874at_nat (lambda ((X4 tptp.produc859450856879609959at_nat)) (= (@ tptp.produc3213797794245857475at_nat X4) (@ tptp.produc6408287024330202629at_nat X4))))))
% 3.35/4.36  (assert (= tptp.id_nat2 (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (= (@ tptp.product_fst_nat_nat X4) (@ tptp.product_snd_nat_nat X4))))))
% 3.35/4.36  (assert (= tptp.id_int2 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (= (@ tptp.product_fst_int_int X4) (@ tptp.product_snd_int_int X4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.inj_on_int_int F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ (@ tptp.inj_on8969904277767023793at_nat F) A4)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.inj_on_nat_nat F) A4)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ tptp.finite_finite_int A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (=> (@ tptp.finite_finite_rat B5) (@ tptp.finite_finite_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ tptp.finite_finite_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) B5) (=> (@ tptp.finite6177210948735845034at_nat B5) (@ tptp.finite6177210948735845034at_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) B5) (=> (@ tptp.finite6177210948735845034at_nat B5) (@ tptp.finite_finite_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ tptp.finite_finite_int A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ tptp.finite6177210948735845034at_nat A4))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ tptp.finite_finite_nat A4))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int _let_1) A4) (=> (@ (@ tptp.inj_on_int_int F) A4) (= _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (let ((_let_1 (@ (@ tptp.image_5168914502847457605at_nat F) A4))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat _let_1) A4) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (= _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat _let_1) A4) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= _let_1 A4)))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat tptp.top_to4669805908274784177at_nat) (=> (= (@ (@ tptp.image_5168914502847457605at_nat F) tptp.top_to4669805908274784177at_nat) tptp.top_to4669805908274784177at_nat) (@ (@ tptp.inj_on8969904277767023793at_nat F) tptp.top_to4669805908274784177at_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.char))) (=> (@ tptp.finite_finite_char tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (@ (@ tptp.inj_on_char_char F) tptp.top_top_set_char)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.list_nat tptp.list_nat))) (=> (@ tptp.finite8100373058378681591st_nat tptp.top_top_set_list_nat) (=> (= (@ (@ tptp.image_7976474329151083847st_nat F) tptp.top_top_set_list_nat) tptp.top_top_set_list_nat) (@ (@ tptp.inj_on3049792774292151987st_nat F) tptp.top_top_set_list_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.rat))) (=> (@ tptp.finite_finite_rat tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (@ (@ tptp.inj_on_rat_rat F) tptp.top_top_set_rat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat tptp.top_top_set_nat) (=> (= (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat) tptp.top_top_set_nat) (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int tptp.top_top_set_int) (=> (= (@ (@ tptp.image_int_int F) tptp.top_top_set_int) tptp.top_top_set_int) (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat tptp.top_to4669805908274784177at_nat) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) tptp.top_to4669805908274784177at_nat) (= (@ (@ tptp.image_5168914502847457605at_nat F) tptp.top_to4669805908274784177at_nat) tptp.top_to4669805908274784177at_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.char tptp.char))) (=> (@ tptp.finite_finite_char tptp.top_top_set_char) (=> (@ (@ tptp.inj_on_char_char F) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.list_nat tptp.list_nat))) (=> (@ tptp.finite8100373058378681591st_nat tptp.top_top_set_list_nat) (=> (@ (@ tptp.inj_on3049792774292151987st_nat F) tptp.top_top_set_list_nat) (= (@ (@ tptp.image_7976474329151083847st_nat F) tptp.top_top_set_list_nat) tptp.top_top_set_list_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.rat tptp.rat))) (=> (@ tptp.finite_finite_rat tptp.top_top_set_rat) (=> (@ (@ tptp.inj_on_rat_rat F) tptp.top_top_set_rat) (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat tptp.top_top_set_nat) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat) tptp.top_top_set_nat)))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int tptp.top_top_set_int) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ (@ tptp.image_int_int F) tptp.top_top_set_int) tptp.top_top_set_int)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.char tptp.char)) (F4 tptp.set_char)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_char H) F4)) (=> (= (@ (@ tptp.image_char_char H) tptp.top_top_set_char) tptp.top_top_set_char) (@ tptp.finite_finite_char F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.char tptp.rat)) (F4 tptp.set_rat)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_rat H) F4)) (=> (= (@ (@ tptp.image_char_rat H) tptp.top_top_set_char) tptp.top_top_set_rat) (@ tptp.finite_finite_rat F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.char tptp.nat)) (F4 tptp.set_nat)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_nat H) F4)) (=> (= (@ (@ tptp.image_char_nat H) tptp.top_top_set_char) tptp.top_top_set_nat) (@ tptp.finite_finite_nat F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.char tptp.int)) (F4 tptp.set_int)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_int H) F4)) (=> (= (@ (@ tptp.image_char_int H) tptp.top_top_set_char) tptp.top_top_set_int) (@ tptp.finite_finite_int F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.rat tptp.char)) (F4 tptp.set_char)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_char H) F4)) (=> (= (@ (@ tptp.image_rat_char H) tptp.top_top_set_rat) tptp.top_top_set_char) (@ tptp.finite_finite_char F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.rat tptp.rat)) (F4 tptp.set_rat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_rat H) F4)) (=> (= (@ (@ tptp.image_rat_rat H) tptp.top_top_set_rat) tptp.top_top_set_rat) (@ tptp.finite_finite_rat F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.rat tptp.nat)) (F4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_nat H) F4)) (=> (= (@ (@ tptp.image_rat_nat H) tptp.top_top_set_rat) tptp.top_top_set_nat) (@ tptp.finite_finite_nat F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.rat tptp.int)) (F4 tptp.set_int)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_int H) F4)) (=> (= (@ (@ tptp.image_rat_int H) tptp.top_top_set_rat) tptp.top_top_set_int) (@ tptp.finite_finite_int F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.nat tptp.char)) (F4 tptp.set_char)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_char H) F4)) (=> (= (@ (@ tptp.image_nat_char H) tptp.top_top_set_nat) tptp.top_top_set_char) (@ tptp.finite_finite_char F4)))))
% 3.35/4.36  (assert (forall ((H (-> tptp.nat tptp.rat)) (F4 tptp.set_rat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_rat H) F4)) (=> (= (@ (@ tptp.image_nat_rat H) tptp.top_top_set_nat) tptp.top_top_set_rat) (@ tptp.finite_finite_rat F4)))))
% 3.35/4.36  (assert (= tptp.basic_1496934909540232809t_unit (lambda ((P3 tptp.produc7812382424243267045t_unit)) (@ (@ tptp.insert8563697753282147485t_unit (@ tptp.produc1126150082675451753t_unit P3)) tptp.bot_bo3686245532977126937t_unit))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_nat_o F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_nat_o F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_int_nat F) A4)) (not (@ tptp.finite_finite_int (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_nat_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage3104651464403166471t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage8013328719654469172at_nat F) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage2444243245536687506_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage4653281326611754070at_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage2449269961533847803at_nat F) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))))))))))
% 3.35/4.36  (assert (forall ((F (-> tptp.nat tptp.produc3843707927480180839at_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite4343798906461161616at_nat (@ (@ tptp.image_2499013659892586576at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X) (@ (@ tptp.image_2499013659892586576at_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage6435164912253009178at_nat F) (@ (@ tptp.insert9069300056098147895at_nat X) tptp.bot_bo228742789529271731at_nat))))))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat) (P2 (-> tptp.nat Bool)) (M3 tptp.nat)) (=> (forall ((K2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N3) K2) (@ P2 K2))) (=> (forall ((K2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K2) N3) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K2) I5) (@ P2 I5))) (@ P2 K2)))) (@ P2 M3)))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ tptp.field_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5)))))) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (@ (@ tptp.order_2888998067076097458on_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (@ (@ tptp.order_2888998067076097458on_nat (@ tptp.field_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (@ tptp.bNF_We3818239936649020644el_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))))
% 3.35/4.36  (assert (@ tptp.wf_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_nat))))
% 3.35/4.36  (assert (= tptp.bNF_Ca8459412986667044542atLess (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_nat))))
% 3.35/4.36  (assert (let ((_let_1 (@ (@ tptp.comp_nat_nat_nat tptp.suc) tptp.suc))) (= _let_1 _let_1)))
% 3.35/4.36  (assert (= tptp.pred_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((M5 tptp.nat) (N4 tptp.nat)) (= N4 (@ tptp.suc M5)))))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_nat)) (not (@ (@ tptp.member_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) A4)))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N3)) (lambda ((Uu tptp.nat)) (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N3)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3)))) (lambda ((Uu tptp.nat)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3)))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))))
% 3.35/4.36  (assert (= tptp.bNF_Ca8665028551170535155natLeq (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_eq_nat))))
% 3.35/4.36  (assert (exists ((F5 (-> tptp.nat tptp.rat))) (= (@ (@ tptp.image_nat_rat F5) tptp.top_top_set_nat) tptp.top_top_set_rat)))
% 3.35/4.36  (assert (= (@ tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) tptp.top_top_set_nat)))
% 3.35/4.36  (assert (forall ((I tptp.nat) (J4 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or4665077453230672383an_nat I) J4)) (@ (@ tptp.set_or4665077453230672383an_nat (@ tptp.suc I)) (@ tptp.suc J4)))))
% 3.35/4.36  (assert (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat) tptp.top_top_set_nat)) tptp.bot_bot_set_nat))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (let ((_let_1 (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat))) (= (@ _let_1 (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ _let_1 N3)))))))
% 3.35/4.36  (assert (forall ((C tptp.nat) (Y3 tptp.nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.set_or4665077453230672383an_nat X2) Y3))) (let ((_let_2 (@ (@ tptp.ord_less_nat X2) Y3))) (let ((_let_3 (@ (@ tptp.ord_less_nat C) Y3))) (and (=> _let_3 (= (@ (@ tptp.image_nat_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_nat I2) C))) _let_1) (@ (@ tptp.set_or4665077453230672383an_nat (@ (@ tptp.minus_minus_nat X2) C)) (@ (@ tptp.minus_minus_nat Y3) C)))) (=> (not _let_3) (and (=> _let_2 (= (@ (@ tptp.image_nat_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_nat I2) C))) _let_1) (@ (@ tptp.insert_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat))) (=> (not _let_2) (= (@ (@ tptp.image_nat_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_nat I2) C))) _let_1) tptp.bot_bot_set_nat))))))))))
% 3.35/4.36  (assert (= (@ (@ tptp.image_nat_rat tptp.nat_to_rat_surj) tptp.top_top_set_nat) tptp.top_top_set_rat))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N3) (= (@ (@ tptp.image_nat_nat (lambda ((M5 tptp.nat)) (@ (@ tptp.modulo_modulo_nat M5) N3))) tptp.top_top_set_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N3)))))
% 3.35/4.36  (assert (= tptp.divmod_nat (lambda ((M5 tptp.nat) (N4 tptp.nat)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (or (= N4 tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat M5) N4))) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) M5)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q3 tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ tptp.suc Q3)) __flatten_var_0))) (@ (@ tptp.divmod_nat (@ (@ tptp.minus_minus_nat M5) N4)) N4))))))
% 3.35/4.36  (assert (= tptp.field_6020823756834552118ts_rat (@ (@ tptp.image_nat_rat tptp.nat_to_rat_surj) tptp.top_top_set_nat)))
% 3.35/4.36  (assert (forall ((I tptp.nat) (J4 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or1269000886237332187st_nat I) J4)) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc I)) (@ tptp.suc J4)))))
% 3.35/4.36  (assert (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat tptp.set_ord_atMost_nat) tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ tptp.set_ord_atMost_nat (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_atMost_nat N3))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (let ((_let_1 (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat))) (= (@ _let_1 (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ _let_1 N3)))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_lessThan_nat N3)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N3))))
% 3.35/4.36  (assert (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat tptp.set_ord_lessThan_nat) tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ tptp.set_ord_lessThan_nat (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_lessThan_nat N3))))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_atMost_nat N3)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) (@ tptp.suc N3)))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ tptp.set_or1266510415728281911st_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or4665077453230672383an_nat A) B)) (@ (@ tptp.set_or4662586982721622107an_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))))
% 3.35/4.36  (assert (forall ((L tptp.int) (U tptp.int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.plus_plus_int X4) L))) (@ (@ tptp.set_or4662586982721622107an_int tptp.zero_zero_int) (@ (@ tptp.minus_minus_int U) L))) (@ (@ tptp.set_or4662586982721622107an_int L) U))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_nat S2) T2) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_less)))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (let ((_let_1 (@ tptp.product_Pair_nat_nat X2))) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ _let_1 Y3)) (@ _let_1 Z2))) tptp.fun_pair_less) (@ (@ tptp.ord_less_nat Y3) Z2)))))
% 3.35/4.36  (assert (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.total_3592101749530773125at_nat A4) tptp.fun_pair_less)))
% 3.35/4.36  (assert (= tptp.complete_Inf_Inf_int (lambda ((X9 tptp.set_int)) (@ tptp.uminus_uminus_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int tptp.uminus_uminus_int) X9))))))
% 3.35/4.36  (assert (@ tptp.wf_Pro7803398752247294826at_nat tptp.fun_pair_less))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_less))))
% 3.35/4.36  (assert (forall ((M tptp.set_nat) (N tptp.set_nat)) (= (@ (@ (@ tptp.bij_betw_nat_nat tptp.suc) M) N) (= (@ (@ tptp.image_nat_nat tptp.suc) M) N))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat S2) T2) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_leq)))))
% 3.35/4.36  (assert (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_leq))))
% 3.35/4.36  (assert (= tptp.fun_pair_leq (@ (@ tptp.sup_su718114333110466843at_nat tptp.fun_pair_less) tptp.id_Pro2258643101195443293at_nat)))
% 3.35/4.36  (assert (forall ((Y3 tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) YS) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_leq) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat XS) YS)) tptp.fun_max_weak) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) XS)) YS)) tptp.fun_max_weak))))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat XS))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) XS) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_leq) (=> (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 YS)) tptp.fun_min_weak) (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat Y3) YS))) tptp.fun_min_weak)))))))
% 3.35/4.36  (assert (forall ((Y3 tptp.product_prod_nat_nat) (Y4 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_prod_nat_nat) (X5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) Y4) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_less) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X5) Y4)) tptp.fun_max_strict) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) X5)) Y4)) tptp.fun_max_strict))))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat XS))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) XS) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_less) (=> (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 YS)) tptp.fun_min_strict) (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat Y3) YS))) tptp.fun_min_strict)))))))
% 3.35/4.36  (assert (@ tptp.fun_re2478310338295953701at_nat (@ (@ tptp.produc9060074326276436823at_nat tptp.fun_max_strict) tptp.fun_max_weak)))
% 3.35/4.36  (assert (@ tptp.fun_re2478310338295953701at_nat (@ (@ tptp.produc9060074326276436823at_nat tptp.fun_min_strict) tptp.fun_min_weak)))
% 3.35/4.36  (assert (forall ((X5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat X5) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) X5)) tptp.fun_max_weak))))
% 3.35/4.36  (assert (forall ((Y4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat Y4) (=> (not (= Y4 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) Y4)) tptp.fun_max_strict)))))
% 3.35/4.36  (assert (forall ((X5 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= X5 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X5) tptp.bot_bo2099793752762293965at_nat)) tptp.fun_min_strict))))
% 3.35/4.36  (assert (forall ((X5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X5) tptp.bot_bo2099793752762293965at_nat)) tptp.fun_min_weak)))
% 3.35/4.36  (assert (= tptp.fun_max_strict (@ tptp.max_ex8135407076693332796at_nat tptp.fun_pair_less)))
% 3.35/4.36  (assert (= tptp.fun_min_strict (@ tptp.min_ex6901939911449802026at_nat tptp.fun_pair_less)))
% 3.35/4.36  (assert (= tptp.fun_min_weak (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.min_ex6901939911449802026at_nat tptp.fun_pair_leq)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo2099793752762293965at_nat)) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.36  (assert (= tptp.fun_max_weak (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.max_ex8135407076693332796at_nat tptp.fun_pair_leq)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo2099793752762293965at_nat)) tptp.bot_bo228742789529271731at_nat))))
% 3.35/4.36  (assert (forall ((U tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) U) (= (@ (@ tptp.set_or4662586982721622107an_int tptp.zero_zero_int) U) (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) (@ tptp.set_ord_lessThan_nat (@ tptp.nat2 U)))))))
% 3.35/4.36  (assert (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat tptp.set_ord_atLeast_nat) tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 3.35/4.36  (assert (@ tptp.trans_4347625901269045472at_nat tptp.fun_pair_less))
% 3.35/4.36  (assert (= tptp.ord_less_eq_int (lambda ((X4 tptp.int) (Xa3 tptp.int)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y5 tptp.nat) (Z4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat Y5) V3)) (@ (@ tptp.plus_plus_nat U3) Z4)))) __flatten_var_0))) (@ tptp.rep_Integ X4)) (@ tptp.rep_Integ Xa3)))))
% 3.35/4.36  (assert (= tptp.nat2 (lambda ((X4 tptp.int)) (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ X4)))))
% 3.35/4.36  (assert (= tptp.ord_less_int (lambda ((X4 tptp.int) (Xa3 tptp.int)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y5 tptp.nat) (Z4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat Y5) V3)) (@ (@ tptp.plus_plus_nat U3) Z4)))) __flatten_var_0))) (@ tptp.rep_Integ X4)) (@ tptp.rep_Integ Xa3)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o tptp.pcr_int) (@ (@ tptp.bNF_re6644619430987730960nt_o_o tptp.pcr_int) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) tptp.ord_less_eq_int))
% 3.35/4.36  (assert (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))) Xa2) X2))))
% 3.35/4.36  (assert (= tptp.int_ge_less_than2 (lambda ((D3 tptp.int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((Z6 tptp.int) (Z4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int D3) Z4) (@ (@ tptp.ord_less_int Z6) Z4))))))))
% 3.35/4.36  (assert (= tptp.int_ge_less_than (lambda ((D3 tptp.int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((Z6 tptp.int) (Z4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int D3) Z6) (@ (@ tptp.ord_less_int Z6) Z4))))))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o tptp.pcr_int) (@ (@ tptp.bNF_re6644619430987730960nt_o_o tptp.pcr_int) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) tptp.ord_less_int))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int tptp.pcr_int) (@ (@ tptp.bNF_re7400052026677387805at_int tptp.pcr_int) tptp.pcr_int)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0)))) tptp.minus_minus_int))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int tptp.pcr_int) (@ (@ tptp.bNF_re7400052026677387805at_int tptp.pcr_int) tptp.pcr_int)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0)))) tptp.plus_plus_int))
% 3.35/4.36  (assert (forall ((X2 tptp.product_prod_nat_nat)) (= (@ tptp.nat2 (@ tptp.abs_Integ X2)) (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) X2))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat tptp.pcr_int) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat)) tptp.nat2))
% 3.35/4.36  (assert (forall ((X2 tptp.product_prod_nat_nat)) (= (@ tptp.uminus_uminus_int (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))) X2)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re7400052026677387805at_int tptp.pcr_int) tptp.pcr_int) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) tptp.uminus_uminus_int))
% 3.35/4.36  (assert (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.times_times_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0))) Xa2) X2)))))
% 3.35/4.36  (assert (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.plus_plus_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0))) Xa2) X2)))))
% 3.35/4.36  (assert (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.minus_minus_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0))) Xa2) X2)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int tptp.pcr_int) (@ (@ tptp.bNF_re7400052026677387805at_int tptp.pcr_int) tptp.pcr_int)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0)))) tptp.times_times_int))
% 3.35/4.36  (assert (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_less_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))) Xa2) X2))))
% 3.35/4.36  (assert (= tptp.uminus_uminus_int (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re3099431351363272937at_nat tptp.intrel) (@ (@ tptp.bNF_re2241393799969408733at_nat tptp.intrel) tptp.intrel)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0)))) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0)))))
% 3.35/4.36  (assert (= tptp.nat2 (@ (@ (@ tptp.map_fu2345160673673942751at_nat tptp.rep_Integ) tptp.id_nat) (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re3099431351363272937at_nat tptp.intrel) (@ (@ tptp.bNF_re2241393799969408733at_nat tptp.intrel) tptp.intrel)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0)))) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re3099431351363272937at_nat tptp.intrel) (@ (@ tptp.bNF_re2241393799969408733at_nat tptp.intrel) tptp.intrel)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0)))) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re4202695980764964119_nat_o tptp.intrel) (@ (@ tptp.bNF_re3666534408544137501at_o_o tptp.intrel) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re2241393799969408733at_nat tptp.intrel) tptp.intrel) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))))
% 3.35/4.36  (assert (let ((_let_1 (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat))) (@ (@ (@ (@ tptp.bNF_re8246922863344978751at_nat tptp.intrel) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) _let_1) _let_1)))
% 3.35/4.36  (assert (= tptp.intrel (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (= (@ (@ tptp.plus_plus_nat X4) V3) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))))
% 3.35/4.36  (assert (@ (@ (@ (@ tptp.bNF_re4202695980764964119_nat_o tptp.intrel) (@ (@ tptp.bNF_re3666534408544137501at_o_o tptp.intrel) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))))
% 3.35/4.36  (assert (= tptp.times_times_int (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0))))))
% 3.35/4.36  (assert (= tptp.minus_minus_int (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0))))))
% 3.35/4.36  (assert (= tptp.plus_plus_int (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0))))))
% 3.35/4.36  (assert (= tptp.ord_less_rat (lambda ((P3 tptp.rat) (Q3 tptp.rat)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((B4 tptp.int) (D3 tptp.int)) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int C4) B4)))) (@ tptp.quotient_of Q3)))) (@ tptp.quotient_of P3)))))
% 3.35/4.36  (assert (= tptp.ord_less_eq_rat (lambda ((P3 tptp.rat) (Q3 tptp.rat)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((B4 tptp.int) (D3 tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int C4) B4)))) (@ tptp.quotient_of Q3)))) (@ tptp.quotient_of P3)))))
% 3.35/4.36  (assert (forall ((P tptp.rat)) (= (@ tptp.quotient_of (@ tptp.uminus_uminus_rat P)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (__flatten_var_0 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ tptp.uminus_uminus_int A5)) __flatten_var_0))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (= tptp.ord_less_int (@ (@ (@ tptp.map_fu434086159418415080_int_o tptp.rep_Integ) (@ (@ tptp.map_fu4826362097070443709at_o_o tptp.rep_Integ) tptp.id_o)) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))))))
% 3.35/4.36  (assert (= tptp.ord_less_eq_int (@ (@ (@ tptp.map_fu434086159418415080_int_o tptp.rep_Integ) (@ (@ tptp.map_fu4826362097070443709at_o_o tptp.rep_Integ) tptp.id_o)) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))))))
% 3.35/4.36  (assert (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.minus_minus_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int B4) C4))) (@ (@ tptp.times_times_int C4) D3))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.plus_plus_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int B4) C4))) (@ (@ tptp.times_times_int C4) D3))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.divide_divide_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int C4) B4))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.times_times_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int A5) B4)) (@ (@ tptp.times_times_int C4) D3))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (= tptp.pcr_int (@ (@ tptp.relcom8911704206367525917at_int (@ (@ tptp.basic_5328504652464829177at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) tptp.cr_int)))
% 3.35/4.36  (assert (= tptp.top_to1996260823553986621t_unit (@ (@ tptp.insert_Product_unit tptp.product_Unity) tptp.bot_bo3957492148770167129t_unit)))
% 3.35/4.36  (assert (= tptp.top_top_Product_unit tptp.product_Unity))
% 3.35/4.36  (assert (= tptp.uminus2952777764628376836t_unit (lambda ((Uu2 tptp.product_unit)) tptp.product_Unity)))
% 3.35/4.36  (assert (= tptp.inf_inf_Product_unit (lambda ((Uu2 tptp.product_unit) (Uv2 tptp.product_unit)) tptp.product_Unity)))
% 3.35/4.36  (assert (forall ((Y3 tptp.product_unit)) (= Y3 tptp.product_Unity)))
% 3.35/4.36  (assert (= tptp.comple2584293577114468500t_unit (lambda ((Uu2 tptp.set_Product_unit)) tptp.product_Unity)))
% 3.35/4.36  (assert (= tptp.comple4687483117567863418t_unit (lambda ((Uu2 tptp.set_Product_unit)) tptp.product_Unity)))
% 3.35/4.36  (assert (= tptp.sup_sup_Product_unit (lambda ((Uu2 tptp.product_unit) (Uv2 tptp.product_unit)) tptp.product_Unity)))
% 3.35/4.36  (assert (= tptp.bot_bot_Product_unit tptp.product_Unity))
% 3.35/4.36  (assert (= tptp.defaul566961228789861419t_unit tptp.product_Unity))
% 3.35/4.36  (assert (forall ((M tptp.set_nat)) (=> (@ tptp.finite_finite_nat M) (=> (not (= M tptp.bot_bot_set_nat)) (=> (not (@ (@ tptp.member_nat tptp.zero_zero_nat) M)) (= (@ tptp.gcd_Gcd_nat M) (@ tptp.lattic8265883725875713057ax_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((M5 tptp.nat)) (@ tptp.collect_nat (lambda ((D3 tptp.nat)) (@ (@ tptp.dvd_dvd_nat D3) M5))))) M)))))))))
% 3.35/4.36  (assert (forall ((N tptp.set_nat)) (= (@ tptp.gcd_Gcd_int (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) N)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Gcd_nat N)))))
% 3.35/4.36  (assert (= tptp.gcd_Gcd_int (lambda ((K3 tptp.set_int)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Gcd_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int)) K3))))))
% 3.35/4.36  (assert (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Gcd_nat (@ (@ tptp.image_int_nat (lambda ((K5 tptp.int)) (@ tptp.nat2 (@ tptp.abs_abs_int K5)))) K4)) (@ tptp.nat2 (@ tptp.gcd_Gcd_int K4)))))
% 3.35/4.36  (assert (= (@ (@ tptp.image_int_int tptp.abs_abs_int) tptp.top_top_set_int) tptp.semiring_1_Nats_int))
% 3.35/4.36  (assert (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Gcd_int (@ (@ tptp.image_int_int tptp.abs_abs_int) K4)) (@ tptp.gcd_Gcd_int K4))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (@ (@ tptp.member_int (@ tptp.semiri1314217659103216013at_int N3)) (@ (@ tptp.image_int_int tptp.abs_abs_int) tptp.top_top_set_int))))
% 3.35/4.36  (assert (@ tptp.fun_is_measure_int (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int)))
% 3.35/4.36  (assert (forall ((P tptp.rat)) (= (@ tptp.quotient_of (@ tptp.abs_abs_rat P)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (__flatten_var_0 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ tptp.abs_abs_int A5)) __flatten_var_0))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (= (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int) tptp.top_top_set_nat))
% 3.35/4.36  (assert (= (@ (@ tptp.image_nat_int tptp.nat_int_decode) tptp.top_top_set_nat) tptp.top_top_set_int))
% 3.35/4.36  (assert (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Lcm_int (@ (@ tptp.image_int_int tptp.abs_abs_int) K4)) (@ tptp.gcd_Lcm_int K4))))
% 3.35/4.36  (assert (= tptp.gcd_Lcm_int (lambda ((K3 tptp.set_int)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Lcm_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int)) K3))))))
% 3.35/4.36  (assert (forall ((N tptp.set_nat)) (= (@ tptp.gcd_Lcm_int (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) N)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Lcm_nat N)))))
% 3.35/4.36  (assert (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Lcm_nat (@ (@ tptp.image_int_nat (lambda ((K5 tptp.int)) (@ tptp.nat2 (@ tptp.abs_abs_int K5)))) K4)) (@ tptp.nat2 (@ tptp.gcd_Lcm_int K4)))))
% 3.35/4.36  (assert (forall ((P tptp.rat)) (= (@ tptp.quotient_of (@ tptp.inverse_inverse_rat P)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (B4 tptp.int)) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (= A5 tptp.zero_zero_int)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int A5)) B4)) (@ tptp.abs_abs_int A5))))) (@ tptp.quotient_of P)))))
% 3.35/4.36  (assert (= tptp.euclid4774559944035922753ze_int (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int)))
% 3.35/4.36  (assert (= tptp.product_Unity (@ tptp.product_Abs_unit true)))
% 3.35/4.36  (assert (= tptp.nat_prod_encode (@ tptp.produc6842872674320459806at_nat (lambda ((M5 tptp.nat) (N4 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ tptp.nat_triangle (@ (@ tptp.plus_plus_nat M5) N4))) M5)))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit)) (not (forall ((Y Bool)) (=> (= X2 (@ tptp.product_Abs_unit Y)) (not (@ (@ tptp.member_o Y) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o))))))))
% 3.35/4.36  (assert (forall ((P2 (-> tptp.product_unit Bool)) (X2 tptp.product_unit)) (=> (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (@ P2 (@ tptp.product_Abs_unit Y)))) (@ P2 X2))))
% 3.35/4.36  (assert (forall ((X2 Bool) (Y3 Bool)) (let ((_let_1 (@ (@ tptp.insert_o true) tptp.bot_bot_set_o))) (=> (@ (@ tptp.member_o X2) _let_1) (=> (@ (@ tptp.member_o Y3) _let_1) (= (= (@ tptp.product_Abs_unit X2) (@ tptp.product_Abs_unit Y3)) (= X2 Y3)))))))
% 3.35/4.36  (assert (= (@ (@ tptp.image_2486076414777270412at_nat tptp.nat_prod_encode) tptp.top_to4669805908274784177at_nat) tptp.top_top_set_nat))
% 3.35/4.36  (assert (@ (@ (@ tptp.type_d6188575255521822967unit_o tptp.product_Rep_unit) tptp.product_Abs_unit) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit) (Y3 tptp.product_unit)) (= (= (@ tptp.product_Rep_unit X2) (@ tptp.product_Rep_unit Y3)) (= X2 Y3))))
% 3.35/4.36  (assert (forall ((Y3 Bool) (P2 (-> Bool Bool))) (=> (@ (@ tptp.member_o Y3) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (=> (forall ((X tptp.product_unit)) (@ P2 (@ tptp.product_Rep_unit X))) (@ P2 Y3)))))
% 3.35/4.36  (assert (forall ((Y3 Bool)) (=> (@ (@ tptp.member_o Y3) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (not (forall ((X tptp.product_unit)) (= Y3 (not (@ tptp.product_Rep_unit X))))))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit)) (@ (@ tptp.member_o (@ tptp.product_Rep_unit X2)) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o))))
% 3.35/4.36  (assert (forall ((X2 tptp.product_unit)) (= (@ tptp.product_Abs_unit (@ tptp.product_Rep_unit X2)) X2)))
% 3.35/4.36  (assert (forall ((Y3 Bool)) (=> (@ (@ tptp.member_o Y3) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (= (@ tptp.product_Rep_unit (@ tptp.product_Abs_unit Y3)) Y3))))
% 3.35/4.36  (assert (= (@ (@ tptp.image_5846123807819985514at_nat tptp.nat_prod_decode) tptp.top_top_set_nat) tptp.top_to4669805908274784177at_nat))
% 3.35/4.36  (assert (= tptp.fun_pair_less (@ (@ tptp.lex_prod_nat_nat tptp.less_than) tptp.less_than)))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.list_nat)) (=> (= (@ tptp.nat_list_decode X2) Y3) (=> (=> (= X2 tptp.zero_zero_nat) (not (= Y3 tptp.nil_nat))) (not (forall ((N2 tptp.nat)) (=> (= X2 (@ tptp.suc N2)) (not (= Y3 (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N2)))))))))))
% 3.35/4.36  (assert (= tptp.nat_to_rat_surj (lambda ((N4 tptp.nat)) (@ (@ tptp.produc6207742614233964070at_rat (lambda ((A5 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.fract (@ tptp.nat_int_decode A5)) (@ tptp.nat_int_decode B4)))) (@ tptp.nat_prod_decode N4)))))
% 3.35/4.36  (assert (forall ((N3 tptp.nat)) (= (@ tptp.nat_list_decode (@ tptp.suc N3)) (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N3)))))
% 3.35/4.36  (assert (forall ((X2 tptp.nat) (Y3 tptp.list_nat)) (let ((_let_1 (@ tptp.accp_nat tptp.nat_list_decode_rel))) (=> (= (@ tptp.nat_list_decode X2) Y3) (=> (@ _let_1 X2) (=> (=> (= X2 tptp.zero_zero_nat) (=> (= Y3 tptp.nil_nat) (not (@ _let_1 tptp.zero_zero_nat)))) (not (forall ((N2 tptp.nat)) (let ((_let_1 (@ tptp.suc N2))) (=> (= X2 _let_1) (=> (= Y3 (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N2))) (not (@ (@ tptp.accp_nat tptp.nat_list_decode_rel) _let_1)))))))))))))
% 3.35/4.37  (assert (= (@ (@ tptp.image_nat_list_nat tptp.nat_list_decode) tptp.top_top_set_nat) tptp.top_top_set_list_nat))
% 3.35/4.37  (assert (forall ((N3 tptp.nat)) (let ((_let_1 (@ tptp.suc N3))) (=> (@ (@ tptp.accp_nat tptp.nat_list_decode_rel) _let_1) (= (@ tptp.nat_list_decode _let_1) (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N3)))))))
% 3.35/4.37  (assert (= (@ (@ tptp.image_1320371278474632150at_nat tptp.nat_sum_encode) tptp.top_to6661820994512907621at_nat) tptp.top_top_set_nat))
% 3.35/4.37  (assert (= (@ (@ tptp.image_list_nat_nat tptp.nat_list_encode) tptp.top_top_set_list_nat) tptp.top_top_set_nat))
% 3.35/4.37  (assert (= (@ (@ tptp.image_678696785212003926at_nat tptp.nat_sum_decode) tptp.top_top_set_nat) tptp.top_to6661820994512907621at_nat))
% 3.35/4.37  (assert (= tptp.unique5024387138958732305ep_int (lambda ((L3 tptp.num) (__flatten_var_0 tptp.product_prod_int_int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Q3 tptp.int) (R5 tptp.int)) (let ((_let_1 (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q3))) (let ((_let_2 (@ tptp.numeral_numeral_int L3))) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (@ (@ tptp.ord_less_eq_int _let_2) R5)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int _let_1) tptp.one_one_int)) (@ (@ tptp.minus_minus_int R5) _let_2))) (@ (@ tptp.product_Pair_int_int _let_1) R5)))))) __flatten_var_0))))
% 3.35/4.37  (assert (= tptp.unique5026877609467782581ep_nat (lambda ((L3 tptp.num) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q3 tptp.nat) (R5 tptp.nat)) (let ((_let_1 (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q3))) (let ((_let_2 (@ tptp.numeral_numeral_nat L3))) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (@ (@ tptp.ord_less_eq_nat _let_2) R5)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat _let_1) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat R5) _let_2))) (@ (@ tptp.product_Pair_nat_nat _let_1) R5)))))) __flatten_var_0))))
% 3.35/4.37  (assert (= tptp.unique4921790084139445826nteger (lambda ((L3 tptp.num) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ tptp.produc6916734918728496179nteger (lambda ((Q3 tptp.code_integer) (R5 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q3))) (let ((_let_2 (@ tptp.numera6620942414471956472nteger L3))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le3102999989581377725nteger _let_2) R5)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.plus_p5714425477246183910nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger R5) _let_2))) (@ (@ tptp.produc1086072967326762835nteger _let_1) R5)))))) __flatten_var_0))))
% 3.35/4.37  (assert (= tptp.code_nat_of_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_le3102999989581377725nteger K5) tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_nat) (@ (@ tptp.produc1555791787009142072er_nat (lambda ((L3 tptp.code_integer) (J tptp.code_integer)) (let ((_let_1 (@ tptp.code_nat_of_integer L3))) (let ((_let_2 (@ (@ tptp.plus_plus_nat _let_1) _let_1))) (@ (@ (@ tptp.if_nat (= J tptp.zero_z3403309356797280102nteger)) _let_2) (@ (@ tptp.plus_plus_nat _let_2) tptp.one_one_nat)))))) (@ (@ tptp.code_divmod_integer K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 3.35/4.37  (assert (= tptp.code_num_of_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_num (@ (@ tptp.ord_le3102999989581377725nteger K5) tptp.one_one_Code_integer)) tptp.one) (@ (@ tptp.produc7336495610019696514er_num (lambda ((L3 tptp.code_integer) (J tptp.code_integer)) (let ((_let_1 (@ tptp.code_num_of_integer L3))) (let ((_let_2 (@ (@ tptp.plus_plus_num _let_1) _let_1))) (@ (@ (@ tptp.if_num (= J tptp.zero_z3403309356797280102nteger)) _let_2) (@ (@ tptp.plus_plus_num _let_2) tptp.one)))))) (@ (@ tptp.code_divmod_integer K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 3.35/4.37  (assert (= tptp.code_divmod_integer (lambda ((K5 tptp.code_integer) (L3 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs K5) L3))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_3 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= K5 tptp.zero_z3403309356797280102nteger)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 L3)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 K5)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= S tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger L3) S)))))) _let_1))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= L3 tptp.zero_z3403309356797280102nteger)) (@ _let_2 K5)) (@ (@ tptp.produc6499014454317279255nteger tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le6747313008572928689nteger K5) tptp.zero_z3403309356797280102nteger)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= S tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger L3)) S)))))) _let_1))))))))))))
% 3.35/4.37  (assert (= tptp.code_int_of_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_le6747313008572928689nteger K5) tptp.zero_z3403309356797280102nteger)) (@ tptp.uminus_uminus_int (@ tptp.code_int_of_integer (@ tptp.uminus1351360451143612070nteger K5)))) (@ (@ (@ tptp.if_int (= K5 tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_int) (@ (@ tptp.produc1553301316500091796er_int (lambda ((L3 tptp.code_integer) (J tptp.code_integer)) (let ((_let_1 (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.code_int_of_integer L3)))) (@ (@ (@ tptp.if_int (= J tptp.zero_z3403309356797280102nteger)) _let_1) (@ (@ tptp.plus_plus_int _let_1) tptp.one_one_int))))) (@ (@ tptp.code_divmod_integer K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))))
% 3.35/4.37  (assert (= tptp.code_negative (@ (@ tptp.comp_C3531382070062128313er_num tptp.uminus1351360451143612070nteger) tptp.numera6620942414471956472nteger)))
% 3.35/4.37  (assert (= tptp.code_bit_cut_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_Pro5737122678794959658eger_o (= K5 tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc6677183202524767010eger_o tptp.zero_z3403309356797280102nteger) false)) (@ (@ tptp.produc9125791028180074456eger_o (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (@ (@ tptp.produc6677183202524767010eger_o (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K5)) R5) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger R5)) S))) (= S tptp.one_one_Code_integer)))) (@ (@ tptp.code_divmod_abs K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))
% 3.35/4.37  (assert (= tptp.code_divmod_integer (lambda ((K5 tptp.code_integer) (L3 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs K5) L3))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= K5 tptp.zero_z3403309356797280102nteger)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= L3 tptp.zero_z3403309356797280102nteger)) (@ _let_2 K5)) (@ (@ (@ (@ tptp.comp_C1593894019821074884nteger (@ (@ tptp.comp_C8797469213163452608nteger tptp.produc6499014454317279255nteger) tptp.times_3573771949741848930nteger)) tptp.sgn_sgn_Code_integer) L3) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= (@ tptp.sgn_sgn_Code_integer K5) (@ tptp.sgn_sgn_Code_integer L3))) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= S tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.abs_abs_Code_integer L3)) S)))))) _let_1))))))))))
% 3.35/4.37  (assert (= tptp.top_top_set_char (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))))))))))
% 3.35/4.37  (assert (= tptp.code_num_of_integer (@ (@ (@ tptp.map_fu1227494855608507351um_num tptp.code_int_of_integer) tptp.id_num) (@ (@ tptp.comp_nat_num_int tptp.num_of_nat) tptp.nat2))))
% 3.35/4.37  (assert (= (@ (@ tptp.image_char_nat tptp.comm_s629917340098488124ar_nat) tptp.top_top_set_char) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))
% 3.35/4.37  (assert (let ((_let_1 (@ (@ tptp.comp_nat_num_int tptp.num_of_nat) tptp.nat2))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))) _let_1) _let_1)))
% 3.35/4.37  (assert (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num tptp.code_pcr_integer) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))) (@ (@ tptp.comp_nat_num_int tptp.num_of_nat) tptp.nat2)) tptp.code_num_of_integer))
% 3.35/4.37  (assert (= tptp.code_pcr_integer (@ (@ tptp.relcom967497705283160040nteger (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) tptp.code_cr_integer)))
% 3.35/4.37  (assert (= tptp.random6974930770145893639ompred (lambda ((P4 (-> tptp.produc7822875418678951345atural tptp.produc4675096598859438275atural)) (S tptp.produc7822875418678951345atural)) (@ (@ tptp.produc6665183775751917029atural (lambda ((P5 tptp.pred_Product_unit) (S7 tptp.produc7822875418678951345atural)) (@ (@ (@ tptp.if_Pro3444522238938527101atural (@ (@ tptp.eval_Product_unit P5) tptp.product_Unity)) (@ (@ tptp.produc5069803637994805237atural tptp.bot_bo2717538794563056311t_unit) S7)) (@ (@ tptp.produc5069803637994805237atural (@ tptp.single_Product_unit tptp.product_Unity)) S7)))) (@ P4 S)))))
% 3.35/4.37  (assert (= tptp.archim3151403230148437115or_rat (lambda ((P3 tptp.rat)) (@ (@ tptp.produc8211389475949308722nt_int tptp.divide_divide_int) (@ tptp.quotient_of P3)))))
% 3.35/4.37  (assert (= tptp.adjust_div (@ tptp.produc8211389475949308722nt_int (lambda ((Q3 tptp.int) (R5 tptp.int)) (@ (@ tptp.plus_plus_int Q3) (@ tptp.zero_n2684676970156552555ol_int (not (= R5 tptp.zero_zero_int))))))))
% 3.35/4.37  (assert (= tptp.bit_take_bit_num (lambda ((N4 tptp.nat) (M5 tptp.num)) (@ (@ tptp.produc478579273971653890on_num (lambda ((A5 tptp.nat) (X4 tptp.num)) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (lambda ((O tptp.nat)) (@ (@ (@ (@ tptp.case_num_option_num (@ tptp.some_num tptp.one)) (lambda ((P3 tptp.num)) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) (lambda ((Q3 tptp.num)) (@ tptp.some_num (@ tptp.bit0 Q3)))) (@ (@ tptp.bit_take_bit_num O) P3)))) (lambda ((P3 tptp.num)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num O) P3))))) X4))) A5))) (@ (@ tptp.product_Pair_nat_num N4) M5)))))
% 3.35/4.37  (assert (forall ((P2 (-> tptp.nat Bool)) (I tptp.nat) (J4 tptp.nat)) (= (@ (@ tptp.list_ex_nat P2) (@ (@ tptp.upt I) J4)) (not (@ (@ (@ tptp.all_interval_nat (@ (@ tptp.comp_o_o_nat (lambda ((_lvar_0 Bool)) (not _lvar_0))) P2)) I) J4)))))
% 3.35/4.37  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ (@ (@ tptp.if_int false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ (@ (@ tptp.if_int true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ (@ tptp.if_nat false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ (@ tptp.if_nat true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.num) (Y3 tptp.num)) (= (@ (@ (@ tptp.if_num false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.num) (Y3 tptp.num)) (= (@ (@ (@ tptp.if_num true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.rat) (Y3 tptp.rat)) (= (@ (@ (@ tptp.if_rat false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.rat) (Y3 tptp.rat)) (= (@ (@ (@ tptp.if_rat true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.set_o) (Y3 tptp.set_o)) (= (@ (@ (@ tptp.if_set_o false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.set_o) (Y3 tptp.set_o)) (= (@ (@ (@ tptp.if_set_o true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.product_unit) (Y3 tptp.product_unit)) (= (@ (@ (@ tptp.if_Product_unit false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.product_unit) (Y3 tptp.product_unit)) (= (@ (@ (@ tptp.if_Product_unit true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.code_integer) (Y3 tptp.code_integer)) (= (@ (@ (@ tptp.if_Code_integer false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.code_integer) (Y3 tptp.code_integer)) (= (@ (@ (@ tptp.if_Code_integer true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (= (@ (@ (@ tptp.if_set_nat false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (= (@ (@ (@ tptp.if_set_nat true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.set_Product_unit) (Y3 tptp.set_Product_unit)) (= (@ (@ (@ tptp.if_set_Product_unit false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.set_Product_unit) (Y3 tptp.set_Product_unit)) (= (@ (@ (@ tptp.if_set_Product_unit true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.heap_Heap_ref_a) (Y3 tptp.heap_Heap_ref_a)) (= (@ (@ (@ tptp.if_Heap_Heap_ref_a false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.heap_Heap_ref_a) (Y3 tptp.heap_Heap_ref_a)) (= (@ (@ (@ tptp.if_Heap_Heap_ref_a true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3027730157355071871nt_int false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3027730157355071871nt_int true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro6206227464963214023at_nat false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro6206227464963214023at_nat true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.produc6271795597528267376eger_o) (Y3 tptp.produc6271795597528267376eger_o)) (= (@ (@ (@ tptp.if_Pro5737122678794959658eger_o false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.produc6271795597528267376eger_o) (Y3 tptp.produc6271795597528267376eger_o)) (= (@ (@ (@ tptp.if_Pro5737122678794959658eger_o true) X2) Y3) X2)))
% 3.35/4.37  (assert (forall ((X2 tptp.produc8923325533196201883nteger) (Y3 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger false) X2) Y3) Y3)))
% 3.35/4.37  (assert (forall ((X2 tptp.produc8923325533196201883nteger) (Y3 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger true) X2) Y3) X2)))
% 13.34/13.69  (assert (forall ((X2 tptp.produc859450856879609959at_nat) (Y3 tptp.produc859450856879609959at_nat)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat false) X2) Y3) Y3)))
% 13.34/13.69  (assert (forall ((X2 tptp.produc859450856879609959at_nat) (Y3 tptp.produc859450856879609959at_nat)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat true) X2) Y3) X2)))
% 13.34/13.69  (assert (forall ((X2 tptp.set_Pr8693737435421807431at_nat) (Y3 tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat false) X2) Y3) Y3)))
% 13.34/13.69  (assert (forall ((X2 tptp.set_Pr8693737435421807431at_nat) (Y3 tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat true) X2) Y3) X2)))
% 13.34/13.69  (assert (forall ((X2 tptp.produc4675096598859438275atural) (Y3 tptp.produc4675096598859438275atural)) (= (@ (@ (@ tptp.if_Pro3444522238938527101atural false) X2) Y3) Y3)))
% 13.34/13.69  (assert (forall ((X2 tptp.produc4675096598859438275atural) (Y3 tptp.produc4675096598859438275atural)) (= (@ (@ (@ tptp.if_Pro3444522238938527101atural true) X2) Y3) X2)))
% 13.34/13.69  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (= (@ (@ (@ tptp.if_Pro3594990065127090477at_nat false) X2) Y3) Y3)))
% 13.34/13.69  (assert (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (= (@ (@ (@ tptp.if_Pro3594990065127090477at_nat true) X2) Y3) X2)))
% 13.34/13.69  (assert (forall ((P2 Bool)) (or (= P2 true) (= P2 false))))
% 13.34/13.69  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat false) X2) Y3) Y3)))
% 13.34/13.69  (assert (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat true) X2) Y3) X2)))
% 13.34/13.69  (assert true)
% 13.34/13.69  (assert (not tptp.thesis))
% 13.34/13.69  (set-info :filename cvc5---1.0.5_9444)
% 13.34/13.69  (check-sat-assuming ( true ))
% 13.34/13.69  ------- get file name : TPTP file name is ITP206^3
% 13.34/13.69  ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9444.smt2...
% 13.34/13.69  --- Run --ho-elim --full-saturate-quant at 10...
% 13.34/13.69  % SZS status Theorem for ITP206^3
% 13.34/13.69  % SZS output start Proof for ITP206^3
% 13.34/13.69  (
% 13.34/13.69  (let ((_let_1 (not tptp.thesis))) (let ((_let_2 (= tptp.adjust_div (@ tptp.produc8211389475949308722nt_int (lambda ((Q3 tptp.int) (R5 tptp.int)) (@ (@ tptp.plus_plus_int Q3) (@ tptp.zero_n2684676970156552555ol_int (not (= R5 tptp.zero_zero_int))))))))) (let ((_let_3 (= tptp.archim3151403230148437115or_rat (lambda ((P3 tptp.rat)) (@ (@ tptp.produc8211389475949308722nt_int tptp.divide_divide_int) (@ tptp.quotient_of P3)))))) (let ((_let_4 (= tptp.random6974930770145893639ompred (lambda ((P4 (-> tptp.produc7822875418678951345atural tptp.produc4675096598859438275atural)) (S tptp.produc7822875418678951345atural)) (@ (@ tptp.produc6665183775751917029atural (lambda ((P5 tptp.pred_Product_unit) (S7 tptp.produc7822875418678951345atural)) (@ (@ (@ tptp.if_Pro3444522238938527101atural (@ (@ tptp.eval_Product_unit P5) tptp.product_Unity)) (@ (@ tptp.produc5069803637994805237atural tptp.bot_bo2717538794563056311t_unit) S7)) (@ (@ tptp.produc5069803637994805237atural (@ tptp.single_Product_unit tptp.product_Unity)) S7)))) (@ P4 S)))))) (let ((_let_5 (= tptp.code_pcr_integer (@ (@ tptp.relcom967497705283160040nteger (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) tptp.code_cr_integer)))) (let ((_let_6 (@ (@ tptp.comp_nat_num_int tptp.num_of_nat) tptp.nat2))) (let ((_let_7 (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one)))))))))))) (let ((_let_8 (= tptp.code_num_of_integer (@ (@ (@ tptp.map_fu1227494855608507351um_num tptp.code_int_of_integer) tptp.id_num) _let_6)))) (let ((_let_9 (= tptp.top_top_set_char (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) _let_7)))) (let ((_let_10 (= tptp.code_bit_cut_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_Pro5737122678794959658eger_o (= K5 tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc6677183202524767010eger_o tptp.zero_z3403309356797280102nteger) false)) (@ (@ tptp.produc9125791028180074456eger_o (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (@ (@ tptp.produc6677183202524767010eger_o (@ (@ (@ tptp.if_Code_integer (@ (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K5)) R5) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger R5)) S))) (= S tptp.one_one_Code_integer)))) (@ (@ tptp.code_divmod_abs K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))))) (let ((_let_11 (= tptp.code_negative (@ (@ tptp.comp_C3531382070062128313er_num tptp.uminus1351360451143612070nteger) tptp.numera6620942414471956472nteger)))) (let ((_let_12 (= tptp.code_divmod_integer (lambda ((K5 tptp.code_integer) (L3 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs K5) L3))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_3 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= K5 tptp.zero_z3403309356797280102nteger)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 L3)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 K5)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= S tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger L3) S)))))) _let_1))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= L3 tptp.zero_z3403309356797280102nteger)) (@ _let_2 K5)) (@ (@ tptp.produc6499014454317279255nteger tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le6747313008572928689nteger K5) tptp.zero_z3403309356797280102nteger)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= S tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger L3)) S)))))) _let_1))))))))))))) (let ((_let_13 (= tptp.unique4921790084139445826nteger (lambda ((L3 tptp.num) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ tptp.produc6916734918728496179nteger (lambda ((Q3 tptp.code_integer) (R5 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.times_3573771949741848930nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) Q3))) (let ((_let_2 (@ tptp.numera6620942414471956472nteger L3))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le3102999989581377725nteger _let_2) R5)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.plus_p5714425477246183910nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger R5) _let_2))) (@ (@ tptp.produc1086072967326762835nteger _let_1) R5)))))) __flatten_var_0))))) (let ((_let_14 (= tptp.unique5026877609467782581ep_nat (lambda ((L3 tptp.num) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q3 tptp.nat) (R5 tptp.nat)) (let ((_let_1 (@ (@ tptp.times_times_nat (@ tptp.numeral_numeral_nat (@ tptp.bit0 tptp.one))) Q3))) (let ((_let_2 (@ tptp.numeral_numeral_nat L3))) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (@ (@ tptp.ord_less_eq_nat _let_2) R5)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat _let_1) tptp.one_one_nat)) (@ (@ tptp.minus_minus_nat R5) _let_2))) (@ (@ tptp.product_Pair_nat_nat _let_1) R5)))))) __flatten_var_0))))) (let ((_let_15 (= tptp.unique5024387138958732305ep_int (lambda ((L3 tptp.num) (__flatten_var_0 tptp.product_prod_int_int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Q3 tptp.int) (R5 tptp.int)) (let ((_let_1 (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) Q3))) (let ((_let_2 (@ tptp.numeral_numeral_int L3))) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (@ (@ tptp.ord_less_eq_int _let_2) R5)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int _let_1) tptp.one_one_int)) (@ (@ tptp.minus_minus_int R5) _let_2))) (@ (@ tptp.product_Pair_int_int _let_1) R5)))))) __flatten_var_0))))) (let ((_let_16 (@ (@ tptp.image_678696785212003926at_nat tptp.nat_sum_decode) tptp.top_top_set_nat))) (let ((_let_17 (= _let_16 tptp.top_to6661820994512907621at_nat))) (let ((_let_18 (@ (@ tptp.image_nat_list_nat tptp.nat_list_decode) tptp.top_top_set_nat))) (let ((_let_19 (= _let_18 tptp.top_top_set_list_nat))) (let ((_let_20 (= tptp.nat_to_rat_surj (lambda ((N4 tptp.nat)) (@ (@ tptp.produc6207742614233964070at_rat (lambda ((A5 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.fract (@ tptp.nat_int_decode A5)) (@ tptp.nat_int_decode B4)))) (@ tptp.nat_prod_decode N4)))))) (let ((_let_21 (= tptp.fun_pair_less (@ (@ tptp.lex_prod_nat_nat tptp.less_than) tptp.less_than)))) (let ((_let_22 (= tptp.nat_prod_encode (@ tptp.produc6842872674320459806at_nat (lambda ((M5 tptp.nat) (N4 tptp.nat)) (@ (@ tptp.plus_plus_nat (@ tptp.nat_triangle (@ (@ tptp.plus_plus_nat M5) N4))) M5)))))) (let ((_let_23 (= tptp.product_Unity (@ tptp.product_Abs_unit true)))) (let ((_let_24 (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int))) (let ((_let_25 (= tptp.euclid4774559944035922753ze_int _let_24))) (let ((_let_26 (= tptp.gcd_Lcm_int (lambda ((K3 tptp.set_int)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Lcm_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int)) K3))))))) (let ((_let_27 (= (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int) tptp.top_top_set_nat))) (let ((_let_28 (= (@ (@ tptp.image_int_int tptp.abs_abs_int) tptp.top_top_set_int) tptp.semiring_1_Nats_int))) (let ((_let_29 (= tptp.gcd_Gcd_int (lambda ((K3 tptp.set_int)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Gcd_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int tptp.nat2) tptp.abs_abs_int)) K3))))))) (let ((_let_30 (= tptp.defaul566961228789861419t_unit tptp.product_Unity))) (let ((_let_31 (= tptp.bot_bot_Product_unit tptp.product_Unity))) (let ((_let_32 (= tptp.sup_sup_Product_unit (lambda ((Uu2 tptp.product_unit) (Uv2 tptp.product_unit)) tptp.product_Unity)))) (let ((_let_33 (= tptp.comple4687483117567863418t_unit (lambda ((Uu2 tptp.set_Product_unit)) tptp.product_Unity)))) (let ((_let_34 (= tptp.comple2584293577114468500t_unit (lambda ((Uu2 tptp.set_Product_unit)) tptp.product_Unity)))) (let ((_let_35 (= tptp.inf_inf_Product_unit (lambda ((Uu2 tptp.product_unit) (Uv2 tptp.product_unit)) tptp.product_Unity)))) (let ((_let_36 (= tptp.uminus2952777764628376836t_unit (lambda ((Uu2 tptp.product_unit)) tptp.product_Unity)))) (let ((_let_37 (= tptp.top_top_Product_unit tptp.product_Unity))) (let ((_let_38 (= tptp.top_to1996260823553986621t_unit (@ (@ tptp.insert_Product_unit tptp.product_Unity) tptp.bot_bo3957492148770167129t_unit)))) (let ((_let_39 (= tptp.pcr_int (@ (@ tptp.relcom8911704206367525917at_int (@ (@ tptp.basic_5328504652464829177at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) tptp.cr_int)))) (let ((_let_40 (@ (@ tptp.map_fu434086159418415080_int_o tptp.rep_Integ) (@ (@ tptp.map_fu4826362097070443709at_o_o tptp.rep_Integ) tptp.id_o)))) (let ((_let_41 (= tptp.ord_less_eq_rat (lambda ((P3 tptp.rat) (Q3 tptp.rat)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((B4 tptp.int) (D3 tptp.int)) (@ (@ tptp.ord_less_eq_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int C4) B4)))) (@ tptp.quotient_of Q3)))) (@ tptp.quotient_of P3)))))) (let ((_let_42 (= tptp.ord_less_rat (lambda ((P3 tptp.rat) (Q3 tptp.rat)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((B4 tptp.int) (D3 tptp.int)) (@ (@ tptp.ord_less_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int C4) B4)))) (@ tptp.quotient_of Q3)))) (@ tptp.quotient_of P3)))))) (let ((_let_43 (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ))) (let ((_let_44 (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) _let_43))) (let ((_let_45 (= tptp.plus_plus_int (@ _let_44 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0))))))) (let ((_let_46 (= tptp.minus_minus_int (@ _let_44 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0))))))) (let ((_let_47 (= tptp.times_times_int (@ _let_44 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0))))))) (let ((_let_48 (@ tptp.bNF_re3666534408544137501at_o_o tptp.intrel))) (let ((_let_49 (@ tptp.bNF_re4202695980764964119_nat_o tptp.intrel))) (let ((_let_50 (= tptp.intrel (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (= (@ (@ tptp.plus_plus_nat X4) V3) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))))) (let ((_let_51 (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat))) (let ((_let_52 (@ (@ tptp.bNF_re2241393799969408733at_nat tptp.intrel) tptp.intrel))) (let ((_let_53 (@ (@ tptp.bNF_re3099431351363272937at_nat tptp.intrel) _let_52))) (let ((_let_54 (= tptp.uminus_uminus_int (@ _let_43 (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))))))) (let ((_let_55 (@ (@ tptp.bNF_re7400052026677387805at_int tptp.pcr_int) tptp.pcr_int))) (let ((_let_56 (@ (@ tptp.bNF_re7408651293131936558nt_int tptp.pcr_int) _let_55))) (let ((_let_57 (@ tptp.bNF_re6644619430987730960nt_o_o tptp.pcr_int))) (let ((_let_58 (@ tptp.bNF_re717283939379294677_int_o tptp.pcr_int))) (let ((_let_59 (= tptp.int_ge_less_than (lambda ((D3 tptp.int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((Z6 tptp.int) (Z4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int D3) Z6) (@ (@ tptp.ord_less_int Z6) Z4))))))))) (let ((_let_60 (= tptp.int_ge_less_than2 (lambda ((D3 tptp.int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((Z6 tptp.int) (Z4 tptp.int)) (and (@ (@ tptp.ord_less_eq_int D3) Z4) (@ (@ tptp.ord_less_int Z6) Z4))))))))) (let ((_let_61 (= tptp.ord_less_int (lambda ((X4 tptp.int) (Xa3 tptp.int)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y5 tptp.nat) (Z4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat Y5) V3)) (@ (@ tptp.plus_plus_nat U3) Z4)))) __flatten_var_0))) (@ tptp.rep_Integ X4)) (@ tptp.rep_Integ Xa3)))))) (let ((_let_62 (= tptp.nat2 (lambda ((X4 tptp.int)) (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ X4)))))) (let ((_let_63 (= tptp.ord_less_eq_int (lambda ((X4 tptp.int) (Xa3 tptp.int)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y5 tptp.nat) (Z4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat Y5) V3)) (@ (@ tptp.plus_plus_nat U3) Z4)))) __flatten_var_0))) (@ tptp.rep_Integ X4)) (@ tptp.rep_Integ Xa3)))))) (let ((_let_64 (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) tptp.bot_bo2099793752762293965at_nat)) tptp.bot_bo228742789529271731at_nat))) (let ((_let_65 (= tptp.fun_max_weak (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.max_ex8135407076693332796at_nat tptp.fun_pair_leq)) _let_64)))) (let ((_let_66 (= tptp.fun_min_weak (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.min_ex6901939911449802026at_nat tptp.fun_pair_leq)) _let_64)))) (let ((_let_67 (= tptp.fun_min_strict (@ tptp.min_ex6901939911449802026at_nat tptp.fun_pair_less)))) (let ((_let_68 (= tptp.fun_max_strict (@ tptp.max_ex8135407076693332796at_nat tptp.fun_pair_less)))) (let ((_let_69 (= tptp.fun_pair_leq (@ (@ tptp.sup_su718114333110466843at_nat tptp.fun_pair_less) tptp.id_Pro2258643101195443293at_nat)))) (let ((_let_70 (= tptp.complete_Inf_Inf_int (lambda ((X9 tptp.set_int)) (@ tptp.uminus_uminus_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int tptp.uminus_uminus_int) X9))))))) (let ((_let_71 (@ (@ tptp.image_nat_rat tptp.nat_to_rat_surj) tptp.top_top_set_nat))) (let ((_let_72 (= tptp.field_6020823756834552118ts_rat _let_71))) (let ((_let_73 (= _let_71 tptp.top_top_set_rat))) (let ((_let_74 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat) tptp.top_top_set_nat)))) (let ((_let_75 (= _let_74 tptp.bot_bot_set_nat))) (let ((_let_76 (= tptp.bNF_Ca8665028551170535155natLeq (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_eq_nat))))) (let ((_let_77 (= tptp.pred_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((M5 tptp.nat) (N4 tptp.nat)) (= N4 (@ tptp.suc M5)))))))) (let ((_let_78 (@ (@ tptp.comp_nat_nat_nat tptp.suc) tptp.suc))) (let ((_let_79 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_nat)))) (let ((_let_80 (= tptp.bNF_Ca8459412986667044542atLess _let_79))) (let ((_let_81 (= tptp.basic_1496934909540232809t_unit (lambda ((P3 tptp.produc7812382424243267045t_unit)) (@ (@ tptp.insert8563697753282147485t_unit (@ tptp.produc1126150082675451753t_unit P3)) tptp.bot_bo3686245532977126937t_unit))))) (let ((_let_82 (= tptp.id_int2 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (= (@ tptp.product_fst_int_int X4) (@ tptp.product_snd_int_int X4))))))) (let ((_let_83 (= tptp.id_nat2 (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (= (@ tptp.product_fst_nat_nat X4) (@ tptp.product_snd_nat_nat X4))))))) (let ((_let_84 (= tptp.id_Pro2258643101195443293at_nat (@ tptp.collec7088162979684241874at_nat (lambda ((X4 tptp.produc859450856879609959at_nat)) (= (@ tptp.produc3213797794245857475at_nat X4) (@ tptp.produc6408287024330202629at_nat X4))))))) (let ((_let_85 (= tptp.order_aboveS_int (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (A5 tptp.int)) (@ tptp.collect_int (lambda ((B4 tptp.int)) (and (not (= B4 A5)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A5) B4)) R5)))))))) (let ((_let_86 (= tptp.order_aboveS_nat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (A5 tptp.nat)) (@ tptp.collect_nat (lambda ((B4 tptp.nat)) (and (not (= B4 A5)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A5) B4)) R5)))))))) (let ((_let_87 (= tptp.order_4440095836999870412at_nat (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (A5 tptp.set_Pr1261947904930325089at_nat)) (@ tptp.collec5514110066124741708at_nat (lambda ((B4 tptp.set_Pr1261947904930325089at_nat)) (and (not (= B4 A5)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A5) B4)) R5)))))))) (let ((_let_88 (= tptp.order_2442354982230848562at_nat (lambda ((R5 tptp.set_Pr7459493094073627847at_nat) (A5 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.collec4573900263915890866at_nat (lambda ((B4 tptp.set_Pr4329608150637261639at_nat)) (and (not (= B4 A5)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A5) B4)) R5)))))))) (let ((_let_89 (= tptp.order_1761765819289301284nt_int (lambda ((R5 tptp.set_Pr2560585780119916871nt_int) (A5 tptp.product_prod_int_int)) (@ tptp.collec213857154873943460nt_int (lambda ((B4 tptp.product_prod_int_int)) (and (not (= B4 A5)) (@ (@ tptp.member8566619992076573584nt_int (@ (@ tptp.produc3646306378393792727nt_int A5) B4)) R5)))))))) (let ((_let_90 (= tptp.order_4940263126897443436at_nat (lambda ((R5 tptp.set_Pr8693737435421807431at_nat) (A5 tptp.product_prod_nat_nat)) (@ tptp.collec3392354462482085612at_nat (lambda ((B4 tptp.product_prod_nat_nat)) (and (not (= B4 A5)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A5) B4)) R5)))))))) (let ((_let_91 (= tptp.bNF_Ca5157130669891357211al_int (lambda ((A6 tptp.set_int) (R5 tptp.set_Pr958786334691620121nt_int)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) (@ tptp.field_int R5)) (exists ((Y5 tptp.int)) (and (@ (@ tptp.member_int Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R5))))))))) (let ((_let_92 (= tptp.bNF_Ca5159621140400407487al_nat (lambda ((A6 tptp.set_nat) (R5 tptp.set_Pr1261947904930325089at_nat)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) (@ tptp.field_nat R5)) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R5))))))))) (let ((_let_93 (= tptp.bNF_Ca8448034394003515314at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (R5 tptp.set_Pr4329608150637261639at_nat)) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) (@ tptp.field_3145993188331922222at_nat R5)) (exists ((Y5 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.member2643936169264416010at_nat Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R5))))))))) (let ((_let_94 (= tptp.bNF_Ca6037544080215331608at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (R5 tptp.set_Pr7459493094073627847at_nat)) (forall ((X4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X4) (@ tptp.field_1428494348145443988at_nat R5)) (exists ((Y5 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.member6273874620674182256at_nat Y5) A6) (not (= X4 Y5)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R5))))))))) (let ((_let_95 (= tptp.basic_685971451221398055t_unit (lambda ((P3 tptp.produc7812382424243267045t_unit)) (@ (@ tptp.insert_ref_a (@ tptp.produc473321116828791851t_unit P3)) tptp.bot_bot_set_ref_a))))) (let ((_let_96 (= tptp.sup_sup_set_nat (lambda ((A6 tptp.set_nat) (B6 tptp.set_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((B4 Bool)) (@ (@ (@ tptp.if_set_nat B4) A6) B6))) tptp.top_top_set_o)))))) (let ((_let_97 (= tptp.sup_su5525570899277871387at_nat (lambda ((A6 tptp.set_Pr4329608150637261639at_nat) (B6 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat (lambda ((B4 Bool)) (@ (@ (@ tptp.if_set3208018901896979469at_nat B4) A6) B6))) tptp.top_top_set_o)))))) (let ((_let_98 (= tptp.sup_su718114333110466843at_nat (lambda ((A6 tptp.set_Pr8693737435421807431at_nat) (B6 tptp.set_Pr8693737435421807431at_nat)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (lambda ((B4 Bool)) (@ (@ (@ tptp.if_set1508868558775481357at_nat B4) A6) B6))) tptp.top_top_set_o)))))) (let ((_let_99 (= tptp.total_3592101749530773125at_nat (lambda ((A6 tptp.set_Pr1261947904930325089at_nat) (R5 tptp.set_Pr8693737435421807431at_nat)) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) A6) (forall ((Y5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) R5) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat Y5) X4)) R5))))))))))) (let ((_let_100 (= tptp.total_on_int (lambda ((A6 tptp.set_int) (R5 tptp.set_Pr958786334691620121nt_int)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A6) (forall ((Y5 tptp.int)) (=> (@ (@ tptp.member_int Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R5) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int Y5) X4)) R5))))))))))) (let ((_let_101 (= tptp.total_on_nat (lambda ((A6 tptp.set_nat) (R5 tptp.set_Pr1261947904930325089at_nat)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A6) (forall ((Y5 tptp.nat)) (=> (@ (@ tptp.member_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R5) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat Y5) X4)) R5))))))))))) (let ((_let_102 (= tptp.total_7212417256332265445at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (R5 tptp.set_Pr4329608150637261639at_nat)) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) A6) (forall ((Y5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R5) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat Y5) X4)) R5))))))))))) (let ((_let_103 (= tptp.total_5117575981256876747at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (R5 tptp.set_Pr7459493094073627847at_nat)) (forall ((X4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X4) A6) (forall ((Y5 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat Y5) A6) (=> (not (= X4 Y5)) (or (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R5) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat Y5) X4)) R5))))))))))) (let ((_let_104 (= tptp.order_1960202971199294558of_int (lambda ((P4 (-> tptp.int tptp.int Bool)) (A6 tptp.set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) (and (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A5) B4)) (@ (@ tptp.produc1453890548195736866nt_int A6) (lambda ((Uu tptp.int)) A6))) (@ (@ P4 A5) B4))))))))) (let ((_let_105 (= tptp.order_1962693441708344834of_nat (lambda ((P4 (-> tptp.nat tptp.nat Bool)) (A6 tptp.set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) (and (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A5) B4)) (@ (@ tptp.produc457027306803732586at_nat A6) (lambda ((Uu tptp.nat)) A6))) (@ (@ P4 A5) B4))))))))) (let ((_let_106 (= tptp.order_8809246210994205103at_nat (lambda ((P4 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A5) B4)) (@ (@ tptp.produc7726050920695093128at_nat A6) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A6))) (@ (@ P4 A5) B4))))))))) (let ((_let_107 (= tptp.order_8308734813930759573at_nat (lambda ((P4 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.collec7872792499061297490at_nat (@ tptp.produc9020218426428501292_nat_o (lambda ((A5 tptp.set_Pr4329608150637261639at_nat) (B4 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A5) B4)) (@ (@ tptp.produc6258361011560675592at_nat A6) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A6))) (@ (@ P4 A5) B4))))))))) (let ((_let_108 (= tptp.top_top_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) tptp.top_to4366644338036079209nt_int))))) (let ((_let_109 (= tptp.top_top_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) tptp.top_to4669805908274784177at_nat))))) (let ((_let_110 (= tptp.top_top_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) tptp.top_to385025497714130939at_num))))) (let ((_let_111 (= tptp.top_to8903224817164384382_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) tptp.top_to6833984726390702231at_nat))))) (let ((_let_112 (= tptp.top_to1326704617074743934_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) tptp.top_to5281548843312042519at_nat))))) (let ((_let_113 (= tptp.bot_bot_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) tptp.bot_bo2099793752762293965at_nat))))) (let ((_let_114 (= tptp.bot_bo394778441745866138_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) tptp.bot_bo228742789529271731at_nat))))) (let ((_let_115 (= tptp.bot_bot_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) tptp.bot_bo1796632182523588997nt_int))))) (let ((_let_116 (= tptp.bot_bot_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_117 (= tptp.bot_bo3364206721330744218_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_118 (= tptp.comple7687260386943045147_int_o (lambda ((S4 tptp.set_int_int_o) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) (@ (@ tptp.image_1365644804893650413_int_o tptp.produc4947309494688390418_int_o) S4)))))))) (let ((_let_119 (= tptp.comple3592611370556534995_nat_o (lambda ((S4 tptp.set_nat_nat_o) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_7429393840292777309_nat_o tptp.produc6081775807080527818_nat_o) S4)))))))) (let ((_let_120 (= tptp.comple4350791933526045961_num_o (lambda ((S4 tptp.set_nat_num_o) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_6580737572886966642at_num tptp.collec4100598399430923318at_num) (@ (@ tptp.image_8484515203959327177_num_o tptp.produc4927758841916487424_num_o) S4)))))))) (let ((_let_121 (= tptp.comple493620192902636699_nat_o (lambda ((S4 tptp.set_se9180647916752606350_nat_o) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_6226802281960588479_nat_o tptp.produc410239310623530412_nat_o) S4)))))))) (let ((_let_122 (= tptp.comple4502628867940267931_nat_o (lambda ((S4 tptp.set_se7255092946006855566_nat_o) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_5694205205332509994at_nat tptp.collec7872792499061297490at_nat) (@ (@ tptp.image_5235725667318448191_nat_o tptp.produc9020218426428501292_nat_o) S4)))))))) (let ((_let_123 (= tptp.comple5770381748412298549_int_o (lambda ((S4 tptp.set_int_int_o) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple1626965760690514720nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) (@ (@ tptp.image_1365644804893650413_int_o tptp.produc4947309494688390418_int_o) S4)))))))) (let ((_let_124 (= tptp.comple1675732732025788397_nat_o (lambda ((S4 tptp.set_nat_nat_o) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_7429393840292777309_nat_o tptp.produc6081775807080527818_nat_o) S4)))))))) (let ((_let_125 (= tptp.comple2433913294995299363_num_o (lambda ((S4 tptp.set_nat_num_o) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple6868718957223342258at_num (@ (@ tptp.image_6580737572886966642at_num tptp.collec4100598399430923318at_num) (@ (@ tptp.image_8484515203959327177_num_o tptp.produc4927758841916487424_num_o) S4)))))))) (let ((_let_126 (= tptp.comple8322679762649017525_nat_o (lambda ((S4 tptp.set_se9180647916752606350_nat_o) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_6226802281960588479_nat_o tptp.produc410239310623530412_nat_o) S4)))))))) (let ((_let_127 (= tptp.comple5307621999477653941_nat_o (lambda ((S4 tptp.set_se7255092946006855566_nat_o) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple4403251139954110286at_nat (@ (@ tptp.image_5694205205332509994at_nat tptp.collec7872792499061297490at_nat) (@ (@ tptp.image_5235725667318448191_nat_o tptp.produc9020218426428501292_nat_o) S4)))))))) (let ((_let_128 (= tptp.comple7806235888213564991et_nat (lambda ((A6 tptp.set_set_nat)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat X4)) A6)))))))) (let ((_let_129 (= tptp.comple1626965760690514720nt_int (lambda ((A6 tptp.set_se6260736226359567993nt_int)) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int X4)) A6)))))))) (let ((_let_130 (= tptp.comple1930127330929219688at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat X4)) A6)))))))) (let ((_let_131 (= tptp.comple3628384868704368283et_int (lambda ((A6 tptp.set_set_int)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int X4)) A6)))))))) (let ((_let_132 (= tptp.comple3063163877087187839_set_o (lambda ((A6 tptp.set_set_o)) (@ tptp.collect_o (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o X4)) A6)))))))) (let ((_let_133 (= tptp.comple6751905152567503566at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat X4)) A6)))))))) (let ((_let_134 (= tptp.comple7399068483239264473et_nat (lambda ((A6 tptp.set_set_nat)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat X4)) A6)))))))) (let ((_let_135 (= tptp.comple5382143125604098054nt_int (lambda ((A6 tptp.set_se6260736226359567993nt_int)) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int X4)) A6)))))))) (let ((_let_136 (= tptp.comple5685304695842803022at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat X4)) A6)))))))) (let ((_let_137 (= tptp.comple3221217463730067765et_int (lambda ((A6 tptp.set_set_int)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int X4)) A6)))))))) (let ((_let_138 (= tptp.comple90263536869209701_set_o (lambda ((A6 tptp.set_set_o)) (@ tptp.collect_o (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o X4)) A6)))))))) (let ((_let_139 (= tptp.comple4364388969068068532at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat X4)) A6)))))))) (let ((_let_140 (= tptp.comple6214475593288795910_nat_o (lambda ((S4 tptp.set_nat_o) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_o_set_nat tptp.collect_nat) S4))))))) (let ((_let_141 (= tptp.comple4707286699709038525_int_o (lambda ((S4 tptp.set_Pr8049984349381595834_int_o) (X4 tptp.product_prod_int_int)) (@ (@ tptp.member5262025264175285858nt_int X4) (@ tptp.comple1626965760690514720nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) S4))))))) (let ((_let_142 (= tptp.comple6265855634338933877_nat_o (lambda ((S4 tptp.set_Pr5582243495563764594_nat_o) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) S4))))))) (let ((_let_143 (= tptp.comple4393433247856107946_int_o (lambda ((S4 tptp.set_int_o) (X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_o_set_int tptp.collect_int) S4))))))) (let ((_let_144 (= tptp.complete_Inf_Inf_o_o (lambda ((S4 tptp.set_o_o) (X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_o_set_o tptp.collect_o) S4))))))) (let ((_let_145 (= tptp.comple8183010123678664591_nat_o (lambda ((S4 tptp.set_Pr7010166363911110284_nat_o) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) S4))))))) (let ((_let_146 (= tptp.comple8317665133742190828_nat_o (lambda ((S4 tptp.set_nat_o) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_o_set_nat tptp.collect_nat) S4))))))) (let ((_let_147 (= tptp.comple342879659800731223_int_o (lambda ((S4 tptp.set_Pr8049984349381595834_int_o) (X4 tptp.product_prod_int_int)) (@ (@ tptp.member5262025264175285858nt_int X4) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) S4))))))) (let ((_let_148 (= tptp.comple1901448594430626575_nat_o (lambda ((S4 tptp.set_Pr5582243495563764594_nat_o) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) S4))))))) (let ((_let_149 (= tptp.comple6496622788309502864_int_o (lambda ((S4 tptp.set_int_o) (X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_o_set_int tptp.collect_int) S4))))))) (let ((_let_150 (= tptp.complete_Sup_Sup_o_o (lambda ((S4 tptp.set_o_o) (X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_o_set_o tptp.collect_o) S4))))))) (let ((_let_151 (= tptp.comple1177764198577243945_nat_o (lambda ((S4 tptp.set_Pr7010166363911110284_nat_o) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) S4))))))) (let ((_let_152 (= tptp.id_on_6713504163309144702at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_6898982319499645995at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) X4)) tptp.bot_bo228742789529271731at_nat))) A6)))))) (let ((_let_153 (= tptp.id_on_int (lambda ((A6 tptp.set_int)) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_8635204845542730022nt_int (lambda ((X4 tptp.int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X4) X4)) tptp.bot_bo1796632182523588997nt_int))) A6)))))) (let ((_let_154 (= tptp.id_on_3275838214495744996at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) X4)) tptp.bot_bo4948859079157340979at_nat))) A6)))))) (let ((_let_155 (= tptp.produc457027306803732586at_nat (lambda ((A6 tptp.set_nat) (B6 (-> tptp.nat tptp.set_nat))) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((Y5 tptp.nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) tptp.bot_bo2099793752762293965at_nat))) (@ B6 X4))))) A6)))))) (let ((_let_156 (= tptp.produc7726050920695093128at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (B6 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_6898982319499645995at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_6898982319499645995at_nat (lambda ((Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) tptp.bot_bo228742789529271731at_nat))) (@ B6 X4))))) A6)))))) (let ((_let_157 (= tptp.produc1453890548195736866nt_int (lambda ((A6 tptp.set_int) (B6 (-> tptp.int tptp.set_int))) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_8635204845542730022nt_int (lambda ((X4 tptp.int)) (@ tptp.comple5382143125604098054nt_int (@ (@ tptp.image_8635204845542730022nt_int (lambda ((Y5 tptp.int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) tptp.bot_bo1796632182523588997nt_int))) (@ B6 X4))))) A6)))))) (let ((_let_158 (= tptp.produc6237731129814287028at_num (lambda ((A6 tptp.set_nat) (B6 (-> tptp.nat tptp.set_num))) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_2893549341467670548at_num (lambda ((X4 tptp.nat)) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (lambda ((Y5 tptp.num)) (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) tptp.bot_bo7038385379056416535at_num))) (@ B6 X4))))) A6)))))) (let ((_let_159 (= tptp.produc6258361011560675592at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (B6 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat))) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (lambda ((Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) tptp.bot_bo4948859079157340979at_nat))) (@ B6 X4))))) A6)))))) (let ((_let_160 (= tptp.refl_on_nat (lambda ((A6 tptp.set_nat) (R5 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.ord_le3146513528884898305at_nat R5) (@ (@ tptp.produc457027306803732586at_nat A6) (lambda ((Uu tptp.nat)) A6))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A6) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) X4)) R5)))))))) (let ((_let_161 (= tptp.refl_on_int (lambda ((A6 tptp.set_int) (R5 tptp.set_Pr958786334691620121nt_int)) (and (@ (@ tptp.ord_le2843351958646193337nt_int R5) (@ (@ tptp.produc1453890548195736866nt_int A6) (lambda ((Uu tptp.int)) A6))) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A6) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) X4)) R5)))))))) (let ((_let_162 (= tptp.refl_o6955724340487615712at_nat (lambda ((A6 tptp.set_se7855581050983116737at_nat) (R5 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.ord_le1268244103169919719at_nat R5) (@ (@ tptp.produc7726050920695093128at_nat A6) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A6))) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) A6) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) X4)) R5)))))))) (let ((_let_163 (= tptp.refl_o6272981002401706822at_nat (lambda ((A6 tptp.set_se5479201105039950375at_nat) (R5 tptp.set_Pr7459493094073627847at_nat)) (and (@ (@ tptp.ord_le5997549366648089703at_nat R5) (@ (@ tptp.produc6258361011560675592at_nat A6) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A6))) (forall ((X4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X4) A6) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) X4)) R5)))))))) (let ((_let_164 (forall ((P2 Bool)) (and (=> P2 (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) P2))) tptp.top_to4366644338036079209nt_int)) (=> (not P2) (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) P2))) tptp.bot_bo1796632182523588997nt_int)))))) (let ((_let_165 (forall ((P2 Bool)) (and (=> P2 (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) P2))) tptp.top_to4669805908274784177at_nat)) (=> (not P2) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) P2))) tptp.bot_bo2099793752762293965at_nat)))))) (let ((_let_166 (forall ((P2 Bool)) (and (=> P2 (= (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) P2))) tptp.top_to6833984726390702231at_nat)) (=> (not P2) (= (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((A5 tptp.set_Pr1261947904930325089at_nat) (B4 tptp.set_Pr1261947904930325089at_nat)) P2))) tptp.bot_bo228742789529271731at_nat)))))) (let ((_let_167 (= tptp.produc929334515565554804at_nat (lambda ((A6 tptp.set_nat) (B6 tptp.set_nat)) (@ (@ tptp.produc457027306803732586at_nat A6) (lambda ((Uu tptp.nat)) B6)))))) (let ((_let_168 (= (@ (@ tptp.produc9045269283572012658at_rat tptp.top_top_set_nat) (lambda ((Uu tptp.nat)) tptp.top_top_set_rat)) tptp.top_to7513191607651882425at_rat))) (let ((_let_169 (= (@ (@ tptp.produc4754187946284079723t_char tptp.top_top_set_nat) (lambda ((Uu tptp.nat)) tptp.top_top_set_char)) tptp.top_to7107842681480589234t_char))) (let ((_let_170 (= (@ (@ tptp.produc137982192359816398at_int tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_int)) tptp.top_to7002410609688830997at_int))) (let ((_let_171 (= (@ (@ tptp.produc140472662868866674at_nat tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_nat)) tptp.top_to269121717765781945at_nat))) (let ((_let_172 (= (@ (@ tptp.produc8728714639637146746at_rat tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_rat)) tptp.top_to3112507417142880193at_rat))) (let ((_let_173 (= (@ (@ tptp.produc1427039474575272051t_char tptp.top_top_set_rat) (lambda ((Uu tptp.rat)) tptp.top_top_set_char)) tptp.top_to3221206985699244474t_char))) (let ((_let_174 (= (@ (@ tptp.produc1836876251250453959ar_int tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_int)) tptp.top_to3104204703268025230ar_int))) (let ((_let_175 (= (@ (@ tptp.produc1839366721759504235ar_nat tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_nat)) tptp.top_to5594287848199751986ar_nat))) (let ((_let_176 (= (@ (@ tptp.produc1204236661673008499ar_rat tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_rat)) tptp.top_to8437673547576850234ar_rat))) (let ((_let_177 (= (@ (@ tptp.produc2936396906406871148r_char tptp.top_top_set_char) (lambda ((Uu tptp.char)) tptp.top_top_set_char)) tptp.top_to1235241553633177651r_char))) (let ((_let_178 (= tptp.inv_image_int_int (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (F2 (-> tptp.int tptp.int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_179 (= tptp.inv_image_nat_int (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.int tptp.nat))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_180 (= tptp.inv_im4434751243573137211at_int (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_181 (= tptp.inv_im2900519150384625825at_int (lambda ((R5 tptp.set_Pr7459493094073627847at_nat) (F2 (-> tptp.int tptp.set_Pr4329608150637261639at_nat))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_182 (= tptp.inv_image_int_nat (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (F2 (-> tptp.nat tptp.int))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_183 (= tptp.inv_image_nat_nat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.nat tptp.nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_184 (= tptp.inv_im4437241714082187487at_nat (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_185 (= tptp.inv_im2903009620893676101at_nat (lambda ((R5 tptp.set_Pr7459493094073627847at_nat) (F2 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat (@ F2 X4)) (@ F2 Y5))) R5)))))))) (let ((_let_186 (= tptp.quotient_nat_rat (lambda ((R6 (-> tptp.nat tptp.nat Bool)) (Abs4 (-> tptp.nat tptp.rat)) (Rep4 (-> tptp.rat tptp.nat)) (T4 (-> tptp.nat tptp.rat Bool))) (let ((_let_1 (@ tptp.conversep_nat_rat T4))) (and (@ (@ tptp.ord_le1897120724991155070_rat_o T4) (@ (@ tptp.bNF_Grp_nat_rat tptp.top_top_set_nat) Abs4)) (@ (@ tptp.ord_le5467402850006352766_nat_o (@ (@ tptp.bNF_Grp_rat_nat tptp.top_top_set_rat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_nat_rat_nat T4) _let_1)))))))) (let ((_let_187 (= tptp.quotient_nat_char (lambda ((R6 (-> tptp.nat tptp.nat Bool)) (Abs4 (-> tptp.nat tptp.char)) (Rep4 (-> tptp.char tptp.nat)) (T4 (-> tptp.nat tptp.char Bool))) (let ((_let_1 (@ tptp.conversep_nat_char T4))) (and (@ (@ tptp.ord_le4878496333587278021char_o T4) (@ (@ tptp.bNF_Grp_nat_char tptp.top_top_set_nat) Abs4)) (@ (@ tptp.ord_le5641337153896221125_nat_o (@ (@ tptp.bNF_Grp_char_nat tptp.top_top_set_char) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom8112501251453913252ar_nat T4) _let_1)))))))) (let ((_let_188 (= tptp.quotient_rat_int (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.int)) (Rep4 (-> tptp.int tptp.rat)) (T4 (-> tptp.rat tptp.int Bool))) (let ((_let_1 (@ tptp.conversep_rat_int T4))) (and (@ (@ tptp.ord_le3222257882335906850_int_o T4) (@ (@ tptp.bNF_Grp_rat_int tptp.top_top_set_rat) Abs4)) (@ (@ tptp.ord_le8236914709048111138_rat_o (@ (@ tptp.bNF_Grp_int_rat tptp.top_top_set_int) Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_rat_int_rat T4) _let_1)))))))) (let ((_let_189 (= tptp.quotient_rat_nat (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.nat)) (Rep4 (-> tptp.nat tptp.rat)) (T4 (-> tptp.rat tptp.nat Bool))) (let ((_let_1 (@ tptp.conversep_rat_nat T4))) (and (@ (@ tptp.ord_le5467402850006352766_nat_o T4) (@ (@ tptp.bNF_Grp_rat_nat tptp.top_top_set_rat) Abs4)) (@ (@ tptp.ord_le1897120724991155070_rat_o (@ (@ tptp.bNF_Grp_nat_rat tptp.top_top_set_nat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_rat_nat_rat T4) _let_1)))))))) (let ((_let_190 (= tptp.quotient_rat_rat (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.rat)) (Rep4 (-> tptp.rat tptp.rat)) (T4 (-> tptp.rat tptp.rat Bool))) (let ((_let_1 (@ tptp.conversep_rat_rat T4))) (let ((_let_2 (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat))) (and (@ (@ tptp.ord_le4717968354871517046_rat_o T4) (@ _let_2 Abs4)) (@ (@ tptp.ord_le4717968354871517046_rat_o (@ _let_2 Rep4)) _let_1) (= R6 (@ (@ tptp.relcompp_rat_rat_rat T4) _let_1))))))))) (let ((_let_191 (= tptp.quotient_rat_char (lambda ((R6 (-> tptp.rat tptp.rat Bool)) (Abs4 (-> tptp.rat tptp.char)) (Rep4 (-> tptp.char tptp.rat)) (T4 (-> tptp.rat tptp.char Bool))) (let ((_let_1 (@ tptp.conversep_rat_char T4))) (and (@ (@ tptp.ord_le6546876390139131069char_o T4) (@ (@ tptp.bNF_Grp_rat_char tptp.top_top_set_rat) Abs4)) (@ (@ tptp.ord_le4891902658761385405_rat_o (@ (@ tptp.bNF_Grp_char_rat tptp.top_top_set_char) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom1505247221262953652ar_rat T4) _let_1)))))))) (let ((_let_192 (= tptp.quotient_char_int (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.int)) (Rep4 (-> tptp.int tptp.char)) (T4 (-> tptp.char tptp.int Bool))) (let ((_let_1 (@ tptp.conversep_char_int T4))) (and (@ (@ tptp.ord_le3396192186225775209_int_o T4) (@ (@ tptp.bNF_Grp_char_int tptp.top_top_set_char) Abs4)) (@ (@ tptp.ord_le7608100903186094441char_o (@ (@ tptp.bNF_Grp_int_char tptp.top_top_set_int) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom750623199913152513t_char T4) _let_1)))))))) (let ((_let_193 (= tptp.quotient_char_nat (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.nat)) (Rep4 (-> tptp.nat tptp.char)) (T4 (-> tptp.char tptp.nat Bool))) (let ((_let_1 (@ tptp.conversep_char_nat T4))) (and (@ (@ tptp.ord_le5641337153896221125_nat_o T4) (@ (@ tptp.bNF_Grp_char_nat tptp.top_top_set_char) Abs4)) (@ (@ tptp.ord_le4878496333587278021char_o (@ (@ tptp.bNF_Grp_nat_char tptp.top_top_set_nat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom6755291642603558309t_char T4) _let_1)))))))) (let ((_let_194 (= tptp.quotient_char_rat (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.rat)) (Rep4 (-> tptp.rat tptp.char)) (T4 (-> tptp.char tptp.rat Bool))) (let ((_let_1 (@ tptp.conversep_char_rat T4))) (and (@ (@ tptp.ord_le4891902658761385405_rat_o T4) (@ (@ tptp.bNF_Grp_char_rat tptp.top_top_set_char) Abs4)) (@ (@ tptp.ord_le6546876390139131069char_o (@ (@ tptp.bNF_Grp_rat_char tptp.top_top_set_rat) Rep4)) _let_1) (= R6 (@ (@ tptp.relcom3428143170894750637t_char T4) _let_1)))))))) (let ((_let_195 (= tptp.quotient_char_char (lambda ((R6 (-> tptp.char tptp.char Bool)) (Abs4 (-> tptp.char tptp.char)) (Rep4 (-> tptp.char tptp.char)) (T4 (-> tptp.char tptp.char Bool))) (let ((_let_1 (@ tptp.conversep_char_char T4))) (let ((_let_2 (@ tptp.bNF_Grp_char_char tptp.top_top_set_char))) (and (@ (@ tptp.ord_le2540245887939449860char_o T4) (@ _let_2 Abs4)) (@ (@ tptp.ord_le2540245887939449860char_o (@ _let_2 Rep4)) _let_1) (= R6 (@ (@ tptp.relcom5872928454965100966r_char T4) _let_1))))))))) (let ((_let_196 (= tptp.produc6369869760173755749_ref_a (@ (@ tptp.comp_P7254561687666694144_ref_a tptp.produc473321116828791851t_unit) (@ tptp.produc4426278547552487717t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit) (Y5 tptp.ref_a)) (@ (@ tptp.produc6544324848051098391t_unit Y5) X4))))))) (let ((_let_197 (= tptp.product_snd_num_nat (@ (@ tptp.comp_P8336958949797789649um_nat tptp.product_fst_nat_num) (@ tptp.produc5219324331026901427at_num (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_num Y5) X4))))))) (let ((_let_198 (= tptp.produc5717040794327095847_ref_a (@ (@ tptp.comp_P2006160480335490974_ref_a tptp.produc1126150082675451753t_unit) (@ tptp.produc4426278547552487717t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit) (Y5 tptp.ref_a)) (@ (@ tptp.produc6544324848051098391t_unit Y5) X4))))))) (let ((_let_199 (= tptp.product_fst_nat_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))))))) (let ((_let_200 (= tptp.product_fst_num_nat (@ (@ tptp.comp_P5051845089628979463um_nat tptp.product_snd_nat_num) (@ tptp.produc5219324331026901427at_num (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_num Y5) X4))))))) (let ((_let_201 (= tptp.produc6011863565407846595at_nat (@ (@ tptp.comp_P4974406650942564362at_nat tptp.produc2937545259423399429at_nat) (@ tptp.produc7548845685434208379at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat Y5) X4))))))) (let ((_let_202 (= tptp.produc4486455499028916547at_nat (@ (@ tptp.comp_P3728553842126764068at_nat tptp.produc826222791318859909at_nat) (@ tptp.produc5456455677105495163at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat Y5) X4))))))) (let ((_let_203 (= tptp.lookup_a (lambda ((R5 tptp.ref_a)) (@ tptp.heap_tap_a (lambda ((H5 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.get_a H5) R5))))))) (let ((_let_204 (= tptp.finite4582259249640653518nt_nat (lambda ((S4 tptp.set_int) (F2 (-> tptp.int tptp.nat tptp.nat))) (forall ((X4 tptp.int) (Y5 tptp.int)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member_int X4) S4) (=> (@ (@ tptp.member_int Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))) (let ((_let_205 (= tptp.finite3582905537739598962at_nat (lambda ((S4 tptp.set_nat) (F2 (-> tptp.nat tptp.nat tptp.nat))) (forall ((X4 tptp.nat) (Y5 tptp.nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member_nat X4) S4) (=> (@ (@ tptp.member_nat Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))) (let ((_let_206 (= tptp.finite4703585013658510744_o_nat (lambda ((S4 tptp.set_o) (F2 (-> Bool tptp.nat tptp.nat))) (forall ((X4 Bool) (Y5 Bool)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member_o X4) S4) (=> (@ (@ tptp.member_o Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))) (let ((_let_207 (= tptp.finite2110315540964234241at_nat (lambda ((S4 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat))) (forall ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member8440522571783428010at_nat X4) S4) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))) (let ((_let_208 (= tptp.finite8619596206551965927at_nat (lambda ((S4 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat))) (forall ((X4 tptp.produc3843707927480180839at_nat) (Y5 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (=> (@ (@ tptp.member8757157785044589968at_nat X4) S4) (=> (@ (@ tptp.member8757157785044589968at_nat Y5) S4) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))))))) (let ((_let_209 (= tptp.produc6036585564866528938nt_int (lambda ((F2 (-> tptp.int tptp.int)) (G3 (-> tptp.int tptp.int)) (__flatten_var_0 tptp.product_prod_int_int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ F2 X4)) (@ G3 Y5)))) __flatten_var_0))))) (let ((_let_210 (@ tptp.produc2552614499379209865t_unit (lambda ((X12 tptp.ref_a) (X23 tptp.heap_e7401611519738050253t_unit)) X23)))) (let ((_let_211 (= tptp.produc1126150082675451753t_unit _let_210))) (let ((_let_212 (@ tptp.produc4846201513286513633_ref_a (lambda ((X12 tptp.ref_a) (X23 tptp.heap_e7401611519738050253t_unit)) X12)))) (let ((_let_213 (= tptp.produc473321116828791851t_unit _let_212))) (let ((_let_214 (= tptp.id_on_num (lambda ((A6 tptp.set_num)) (@ (@ tptp.bNF_Gr_num_num A6) tptp.id_num))))) (let ((_let_215 (= tptp.id_on_o (lambda ((A6 tptp.set_o)) (@ (@ tptp.bNF_Gr_o_o A6) tptp.id_o))))) (let ((_let_216 (= tptp.id_on_nat (lambda ((A6 tptp.set_nat)) (@ (@ tptp.bNF_Gr_nat_nat A6) tptp.id_nat))))) (let ((_let_217 (= tptp.bNF_vi5202502398764838569_nat_o (lambda ((F2 (-> tptp.list_nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.list_nat) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom170568170053003356at_int (@ (@ tptp.bNF_Gr4119388860389678161at_nat tptp.top_top_set_list_nat) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_218 (= tptp.bNF_vi1204582724742824157_nat_o (lambda ((F2 (-> tptp.int tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.int) (__flatten_var_1 tptp.int)) (let ((_let_1 (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int))) (@ (@ (@ (@ tptp.relcom1106208330880909712at_int (@ _let_1 F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ _let_1 G3)))) __flatten_var_0) __flatten_var_1)))))) (let ((_let_219 (= tptp.bNF_vi190728152058600505_nat_o (lambda ((F2 (-> tptp.nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.nat) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom8569543703982574316at_int (@ (@ tptp.bNF_Gr3553472063123884001at_nat tptp.top_top_set_nat) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_220 (= tptp.bNF_vi2997284877290766385_nat_o (lambda ((F2 (-> tptp.rat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.rat) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom1211213461163567844at_int (@ (@ tptp.bNF_Gr6883301533820405721at_nat tptp.top_top_set_rat) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_221 (= tptp.bNF_vi728936465572800120_nat_o (lambda ((F2 (-> tptp.char tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.product_prod_nat_nat)) (P4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (__flatten_var_0 tptp.char) (__flatten_var_1 tptp.int)) (@ (@ (@ (@ tptp.relcom7879471502873553579at_int (@ (@ tptp.bNF_Gr8982933507515605408at_nat tptp.top_top_set_char) F2)) (@ (@ tptp.relcom8911704206367525917at_int P4) (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_222 (= tptp.bNF_vi467646977814820164_int_o (lambda ((F2 (-> tptp.list_nat tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.list_nat) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom7887202796854296604nteger (@ (@ tptp.bNF_Grp_list_nat_int tptp.top_top_set_list_nat) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_223 (= tptp.bNF_vi2125572119366604152_int_o (lambda ((F2 (-> tptp.int tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.int) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom967497705283160040nteger (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_224 (= tptp.bNF_vi7331807916455492308_int_o (lambda ((F2 (-> tptp.nat tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.nat) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom3277315637376110988nteger (@ (@ tptp.bNF_Grp_nat_int tptp.top_top_set_nat) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_225 (= tptp.bNF_vi508398028314858188_int_o (lambda ((F2 (-> tptp.rat tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.rat) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom3409376902655092628nteger (@ (@ tptp.bNF_Grp_rat_int tptp.top_top_set_rat) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_226 (= tptp.bNF_vi7262943168399475603_int_o (lambda ((F2 (-> tptp.char tptp.int)) (G3 (-> tptp.code_integer tptp.int)) (P4 (-> tptp.int tptp.int Bool)) (__flatten_var_0 tptp.char) (__flatten_var_1 tptp.code_integer)) (@ (@ (@ (@ tptp.relcom5819909836510906509nteger (@ (@ tptp.bNF_Grp_char_int tptp.top_top_set_char) F2)) (@ (@ tptp.relcom967497705283160040nteger P4) (@ tptp.conver1462408618118490240er_int (@ (@ tptp.bNF_Gr6045950513751025625er_int tptp.top_to4645266643341252675nteger) G3)))) __flatten_var_0) __flatten_var_1))))) (let ((_let_227 (= tptp.produc6499014454317279255nteger (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer)))) (let ((_let_228 (@ tptp.image_int_int tptp.id_int))) (let ((_let_229 (@ tptp.image_nat_nat tptp.id_nat))) (let ((_let_230 (@ tptp.image_num_num tptp.id_num))) (let ((_let_231 (@ tptp.image_o_o tptp.id_o))) (let ((_let_232 (@ tptp.comp_nat_nat_nat tptp.id_nat))) (let ((_let_233 (= _let_232 tptp.id_nat_nat))) (let ((_let_234 (@ tptp.comp_o_o_nat tptp.id_o))) (let ((_let_235 (= _let_234 tptp.id_nat_o))) (let ((_let_236 (= (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) tptp.top_to2503719809363509323t_unit) tptp.top_to3956321331435058429t_unit))) (let ((_let_237 (= (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) tptp.top_to2503719809363509323t_unit) tptp.top_top_set_ref_a))) (let ((_let_238 (= (@ tptp.produc6499014454317279255nteger tptp.id_Code_integer) tptp.id_Pro2309048762231606924nteger))) (let ((_let_239 (@ tptp.produc4245557441103728435nt_int tptp.product_Pair_int_int))) (let ((_let_240 (= _let_239 tptp.id_Pro4381231610383771306nt_int))) (let ((_let_241 (= (@ tptp.produc2626176000494625587at_nat tptp.product_Pair_nat_nat) tptp.id_Pro7559728917991913458at_nat))) (let ((_let_242 (= (@ tptp.produc49306077274653107at_num tptp.product_Pair_nat_num) tptp.id_Pro8267972854940751164at_num))) (let ((_let_243 (= (@ tptp.produc7548845685434208379at_nat tptp.produc2922128104949294807at_nat) tptp.id_Pro8722402698821300696at_nat))) (let ((_let_244 (= (@ tptp.produc5456455677105495163at_nat tptp.produc9060074326276436823at_nat) tptp.id_Pro6043886709289754456at_nat))) (let ((_let_245 (= _let_228 tptp.id_set_int))) (let ((_let_246 (= _let_229 tptp.id_set_nat))) (let ((_let_247 (= _let_230 tptp.id_set_num))) (let ((_let_248 (= _let_231 tptp.id_set_o))) (let ((_let_249 (= tptp.fun_in_rel_int_int (lambda ((R6 tptp.set_Pr958786334691620121nt_int) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R6))))) (let ((_let_250 (= tptp.fun_in_rel_nat_nat (lambda ((R6 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R6))))) (let ((_let_251 (= tptp.fun_in_rel_nat_num (lambda ((R6 tptp.set_Pr6200539531224447659at_num) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R6))))) (let ((_let_252 (= tptp.fun_in8056734985859589634at_nat (lambda ((R6 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R6))))) (let ((_let_253 (= tptp.fun_in6812141508599261570at_nat (lambda ((R6 tptp.set_Pr7459493094073627847at_nat) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R6))))) (let ((_let_254 (= tptp.bNF_re7626690874201225453um_num (lambda ((R6 (-> tptp.int tptp.int Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.int tptp.num))) (@ (@ tptp.ord_le6741204236512500942_int_o R6) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o F2) G3) S4)))))) (let ((_let_255 (= tptp.bNF_re6718328864250387230um_num (lambda ((R6 (-> tptp.int tptp.code_integer Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.code_integer tptp.num))) (@ (@ tptp.ord_le996066559646421213eger_o R6) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o F2) G3) S4)))))) (let ((_let_256 (= tptp.bNF_re717283939379294677_int_o (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le129227817499904167_int_o R6) (@ (@ (@ tptp.bNF_vi5082502771524357669nt_o_o F2) G3) S4)))))) (let ((_let_257 (= tptp.bNF_re7408651293131936558nt_int (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.int tptp.int))) (@ (@ tptp.ord_le129227817499904167_int_o R6) (@ (@ (@ tptp.bNF_vi8966365312794588230_int_o F2) G3) S4)))))) (let ((_let_258 (= tptp.bNF_re4555766996558763186at_nat (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> tptp.nat tptp.nat Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.nat)) (G3 (-> tptp.int tptp.nat))) (@ (@ tptp.ord_le129227817499904167_int_o R6) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o F2) G3) S4)))))) (let ((_let_259 (= tptp.relcom967497705283160040nteger (lambda ((R6 (-> tptp.int tptp.int Bool)) (S4 (-> tptp.int tptp.code_integer Bool)) (A5 tptp.int) (C4 tptp.code_integer)) (exists ((B4 tptp.int)) (and (@ (@ R6 A5) B4) (@ (@ S4 B4) C4))))))) (let ((_let_260 (= tptp.relcom8911704206367525917at_int (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A5 tptp.product_prod_nat_nat) (C4 tptp.int)) (exists ((B4 tptp.product_prod_nat_nat)) (and (@ (@ R6 A5) B4) (@ (@ S4 B4) C4))))))) (let ((_let_261 (= tptp.bNF_Ca4946600973702282345at_int (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (As (-> tptp.set_Pr1261947904930325089at_nat tptp.int))) (forall ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_int (@ As I2)) (@ As J)))))))) (let ((_let_262 (= tptp.bNF_Ca4949091444211332621at_nat (lambda ((R5 tptp.set_Pr4329608150637261639at_nat) (As (-> tptp.set_Pr1261947904930325089at_nat tptp.nat))) (forall ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_nat (@ As I2)) (@ As J)))))))) (let ((_let_263 (= tptp.bNF_Ca402612664642806191nteger (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.code_integer))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_le3102999989581377725nteger (@ As I2)) (@ As J)))))))) (let ((_let_264 (= tptp.bNF_Ca30959104405961555nteger (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.code_integer))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_le3102999989581377725nteger (@ As I2)) (@ As J)))))))) (let ((_let_265 (= tptp.bNF_Ca1332973979827979050nt_rat (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.rat))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_less_eq_rat (@ As I2)) (@ As J)))))))) (let ((_let_266 (= tptp.bNF_Ca333620267926924494at_rat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.rat))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_rat (@ As I2)) (@ As J)))))))) (let ((_let_267 (= tptp.bNF_Ca1965613569405424510nt_int (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.int))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_less_eq_int (@ As I2)) (@ As J)))))))) (let ((_let_268 (= tptp.bNF_Ca966259857504369954at_int (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.int))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_int (@ As I2)) (@ As J)))))))) (let ((_let_269 (= tptp.bNF_Ca1968104039914474786nt_nat (lambda ((R5 tptp.set_Pr958786334691620121nt_int) (As (-> tptp.int tptp.nat))) (forall ((I2 tptp.int) (J tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I2) J)) R5) (@ (@ tptp.ord_less_eq_nat (@ As I2)) (@ As J)))))))) (let ((_let_270 (= tptp.bNF_Ca968750328013420230at_nat (lambda ((R5 tptp.set_Pr1261947904930325089at_nat) (As (-> tptp.nat tptp.nat))) (forall ((I2 tptp.nat) (J tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I2) J)) R5) (@ (@ tptp.ord_less_eq_nat (@ As I2)) (@ As J)))))))) (let ((_let_271 (= tptp.comp_C8797469213163452608nteger (lambda ((F2 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G3 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X4 tptp.code_integer) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ F2 (@ G3 X4)) __flatten_var_0))))) (let ((_let_272 (= tptp.comp_int_nat_int (lambda ((F2 (-> tptp.int tptp.nat)) (G3 (-> tptp.int tptp.int)) (X4 tptp.int)) (@ F2 (@ G3 X4)))))) (let ((_let_273 (= tptp.comp_nat_nat_nat (lambda ((F2 (-> tptp.nat tptp.nat)) (G3 (-> tptp.nat tptp.nat)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))))) (let ((_let_274 (= tptp.comp_nat_num_int (lambda ((F2 (-> tptp.nat tptp.num)) (G3 (-> tptp.int tptp.nat)) (X4 tptp.int)) (@ F2 (@ G3 X4)))))) (let ((_let_275 (= tptp.comp_o_o_nat (lambda ((F2 (-> Bool Bool)) (G3 (-> tptp.nat Bool)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))))) (let ((_let_276 (= tptp.produc7926200574084438792nt_int tptp.produc8211389475949308722nt_int))) (let ((_let_277 (= tptp.produc8005341501107743676_int_o tptp.produc4947309494688390418_int_o))) (let ((_let_278 (= tptp.produc297006045350968285nt_int tptp.produc4245557441103728435nt_int))) (let ((_let_279 (= tptp.produc4780622933104268256_nat_o tptp.produc8739625826339149834_nat_o))) (let ((_let_280 (= tptp.produc1854806715440696265at_nat tptp.produc27273713700761075at_nat))) (let ((_let_281 (= tptp.produc8211389475949308722nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.int)) (Prod3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int Prod3)) (@ tptp.product_snd_int_int Prod3)))))) (let ((_let_282 (= tptp.produc4947309494688390418_int_o (lambda ((F2 (-> tptp.int tptp.int Bool)) (Prod3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int Prod3)) (@ tptp.product_snd_int_int Prod3)))))) (let ((_let_283 (= tptp.produc4245557441103728435nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int Prod3)) (@ tptp.product_snd_int_int Prod3)))))) (let ((_let_284 (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat Prod3)) (@ tptp.product_snd_nat_nat Prod3)) __flatten_var_0))))) (let ((_let_285 (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Prod3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat Prod3)) (@ tptp.product_snd_nat_nat Prod3)) __flatten_var_0))))) (let ((_let_286 (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R) (not (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (not (= R (@ tptp.produc473321116828791851t_unit _let_1)))))))))) (let ((_let_287 (= tptp.produc970745769005243767t_unit (lambda ((P3 tptp.produc7812382424243267045t_unit)) (@ (@ tptp.produc2564672488694626579_ref_a (@ tptp.produc1126150082675451753t_unit P3)) (@ tptp.produc473321116828791851t_unit P3)))))) (let ((_let_288 (= tptp.product_swap_int_int (lambda ((P3 tptp.product_prod_int_int)) (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int P3)) (@ tptp.product_fst_int_int P3)))))) (let ((_let_289 (= tptp.product_swap_nat_nat (lambda ((P3 tptp.product_prod_nat_nat)) (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_snd_nat_nat P3)) (@ tptp.product_fst_nat_nat P3)))))) (let ((_let_290 (= tptp.product_swap_num_nat (lambda ((P3 tptp.product_prod_num_nat)) (@ (@ tptp.product_Pair_nat_num (@ tptp.product_snd_num_nat P3)) (@ tptp.product_fst_num_nat P3)))))) (let ((_let_291 (= tptp.produc3946833401584108663at_nat (lambda ((P3 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc2937545259423399429at_nat P3)) (@ tptp.produc6011863565407846595at_nat P3)))))) (let ((_let_292 (= tptp.produc5396952528824381687at_nat (lambda ((P3 tptp.produc1319942482725812455at_nat)) (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc826222791318859909at_nat P3)) (@ tptp.produc4486455499028916547at_nat P3)))))) (let ((_let_293 (= tptp.ref_a2 (lambda ((V3 tptp.a)) (@ tptp.heap_heap_ref_a (@ tptp.alloc_a V3)))))) (let ((_let_294 (= tptp.ref_a3 tptp.ref_a2))) (let ((_let_295 (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.ref_a2 tptp.x)) tptp.h) tptp.h2) tptp.r))) (let ((_let_296 (@ tptp.alloc_a tptp.x))) (let ((_let_297 (@ _let_296 tptp.h))) (let ((_let_298 (=> (= tptp.r (@ tptp.produc473321116828791851t_unit _let_297)) (=> (= tptp.h2 (@ tptp.produc1126150082675451753t_unit _let_297)) tptp.thesis)))) (let ((_let_299 (ho_12013 k_12012 tptp.x))) (let ((_let_300 (ho_11998 _let_299 tptp.h))) (let ((_let_301 (= tptp.h2 (ho_10239 (ho_6965 k_6964 k_6962) _let_300)))) (let ((_let_302 (= tptp.r (ho_10244 (ho_10243 k_10242 k_10240) _let_300)))) (let ((_let_303 (and _let_301 _let_302))) (let ((_let_304 (ho_9851 (ho_12019 (ho_12018 (ho_12017 k_12016 (ho_12015 k_12014 _let_299)) tptp.h) tptp.h2) tptp.r))) (let ((_let_305 (not _let_304))) (let ((_let_306 (or _let_305 _let_303))) (let ((_let_307 (forall ((BOUND_VARIABLE_430996 |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (ho_11998 BOUND_VARIABLE_430996 H))) (or (not (ho_9851 (ho_12019 (ho_12018 (ho_12017 k_12016 (ho_12015 k_12014 BOUND_VARIABLE_430996)) H) H2) R)) (and (= H2 (ho_10239 (ho_6965 k_6964 k_6962) _let_1)) (= R (ho_10244 (ho_10243 k_10242 k_10240) _let_1)))))))) (let ((_let_308 (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (or (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R)) (and (= H2 (@ (@ tptp.produc2552614499379209865t_unit ll_2) _let_1)) (= R (@ (@ tptp.produc4846201513286513633_ref_a ll_3) _let_1)))))))) (let ((_let_309 (SYMM (ASSUME :args (_let_294))))) (let ((_let_310 (EQ_RESOLVE (ASSUME :args (_let_293)) (MACRO_SR_EQ_INTRO _let_309 :args (_let_293 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_311 (ASSUME :args (_let_292)))) (let ((_let_312 (ASSUME :args (_let_291)))) (let ((_let_313 (ASSUME :args (_let_290)))) (let ((_let_314 (ASSUME :args (_let_289)))) (let ((_let_315 (ASSUME :args (_let_288)))) (let ((_let_316 (ASSUME :args (_let_287)))) (let ((_let_317 (ASSUME :args (_let_285)))) (let ((_let_318 (ASSUME :args (_let_284)))) (let ((_let_319 (ASSUME :args (_let_283)))) (let ((_let_320 (ASSUME :args (_let_282)))) (let ((_let_321 (ASSUME :args (_let_281)))) (let ((_let_322 (EQ_RESOLVE (ASSUME :args (_let_280)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_280 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_323 (EQ_RESOLVE (ASSUME :args (_let_279)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_279 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_324 (EQ_RESOLVE (ASSUME :args (_let_278)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_278 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_325 (EQ_RESOLVE (ASSUME :args (_let_277)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_277 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_326 (EQ_RESOLVE (ASSUME :args (_let_276)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_276 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_327 (ASSUME :args (_let_275)))) (let ((_let_328 (ASSUME :args (_let_274)))) (let ((_let_329 (ASSUME :args (_let_273)))) (let ((_let_330 (ASSUME :args (_let_272)))) (let ((_let_331 (ASSUME :args (_let_271)))) (let ((_let_332 (EQ_RESOLVE (ASSUME :args (_let_270)) (MACRO_SR_EQ_INTRO :args (_let_270 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_333 (EQ_RESOLVE (ASSUME :args (_let_269)) (MACRO_SR_EQ_INTRO :args (_let_269 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_334 (EQ_RESOLVE (ASSUME :args (_let_268)) (MACRO_SR_EQ_INTRO :args (_let_268 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_335 (EQ_RESOLVE (ASSUME :args (_let_267)) (MACRO_SR_EQ_INTRO :args (_let_267 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_336 (EQ_RESOLVE (ASSUME :args (_let_266)) (MACRO_SR_EQ_INTRO :args (_let_266 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_337 (EQ_RESOLVE (ASSUME :args (_let_265)) (MACRO_SR_EQ_INTRO :args (_let_265 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_338 (EQ_RESOLVE (ASSUME :args (_let_264)) (MACRO_SR_EQ_INTRO :args (_let_264 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_339 (EQ_RESOLVE (ASSUME :args (_let_263)) (MACRO_SR_EQ_INTRO :args (_let_263 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_340 (EQ_RESOLVE (ASSUME :args (_let_262)) (MACRO_SR_EQ_INTRO :args (_let_262 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_341 (EQ_RESOLVE (ASSUME :args (_let_261)) (MACRO_SR_EQ_INTRO :args (_let_261 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_342 (EQ_RESOLVE (ASSUME :args (_let_260)) (MACRO_SR_EQ_INTRO :args (_let_260 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_343 (EQ_RESOLVE (ASSUME :args (_let_259)) (MACRO_SR_EQ_INTRO :args (_let_259 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_344 (ASSUME :args (_let_258)))) (let ((_let_345 (ASSUME :args (_let_257)))) (let ((_let_346 (ASSUME :args (_let_256)))) (let ((_let_347 (ASSUME :args (_let_255)))) (let ((_let_348 (ASSUME :args (_let_254)))) (let ((_let_349 (ASSUME :args (_let_253)))) (let ((_let_350 (ASSUME :args (_let_252)))) (let ((_let_351 (ASSUME :args (_let_251)))) (let ((_let_352 (ASSUME :args (_let_250)))) (let ((_let_353 (ASSUME :args (_let_249)))) (let ((_let_354 (SYMM (ASSUME :args (_let_248))))) (let ((_let_355 (SYMM (ASSUME :args (_let_247))))) (let ((_let_356 (SYMM (ASSUME :args (_let_246))))) (let ((_let_357 (SYMM (ASSUME :args (_let_245))))) (let ((_let_358 (SYMM (ASSUME :args (_let_244))))) (let ((_let_359 (SYMM (ASSUME :args (_let_243))))) (let ((_let_360 (SYMM (ASSUME :args (_let_242))))) (let ((_let_361 (SYMM (ASSUME :args (_let_241))))) (let ((_let_362 (EQ_RESOLVE (SYMM (ASSUME :args (_let_240))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.id_Pro4381231610383771306nt_int _let_239) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_363 (SYMM (ASSUME :args (_let_238))))) (let ((_let_364 (SYMM (ASSUME :args (_let_237))))) (let ((_let_365 (SYMM (ASSUME :args (_let_236))))) (let ((_let_366 (EQ_RESOLVE (SYMM (ASSUME :args (_let_235))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.id_nat_o _let_234) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_367 (EQ_RESOLVE (SYMM (ASSUME :args (_let_233))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.id_nat_nat _let_232) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_368 (ASSUME :args (_let_227)))) (let ((_let_369 (EQ_RESOLVE (ASSUME :args (_let_226)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_226 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_370 (EQ_RESOLVE (ASSUME :args (_let_225)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_225 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_371 (EQ_RESOLVE (ASSUME :args (_let_224)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_224 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_372 (EQ_RESOLVE (ASSUME :args (_let_223)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_223 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_373 (EQ_RESOLVE (ASSUME :args (_let_222)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_222 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_374 (EQ_RESOLVE (ASSUME :args (_let_221)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_221 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_375 (EQ_RESOLVE (ASSUME :args (_let_220)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_220 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_376 (EQ_RESOLVE (ASSUME :args (_let_219)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_219 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_377 (EQ_RESOLVE (ASSUME :args (_let_218)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_218 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_378 (EQ_RESOLVE (ASSUME :args (_let_217)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_217 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_379 (ASSUME :args (_let_216)))) (let ((_let_380 (ASSUME :args (_let_215)))) (let ((_let_381 (ASSUME :args (_let_214)))) (let ((_let_382 (ASSUME :args (_let_213)))) (let ((_let_383 (ASSUME :args (_let_211)))) (let ((_let_384 (EQ_RESOLVE (ASSUME :args (_let_209)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_209 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_385 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_208)) (MACRO_SR_EQ_INTRO :args (_let_208 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.finite8619596206551965927at_nat (lambda ((S4 tptp.set_Pr4329608150637261639at_nat) (F2 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat))) (forall ((X4 tptp.produc3843707927480180839at_nat) (Y5 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (or (not (@ (@ tptp.member8757157785044589968at_nat X4) S4)) (not (@ (@ tptp.member8757157785044589968at_nat Y5) S4)) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_386 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_207)) (MACRO_SR_EQ_INTRO :args (_let_207 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.finite2110315540964234241at_nat (lambda ((S4 tptp.set_Pr1261947904930325089at_nat) (F2 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat))) (forall ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (or (not (@ (@ tptp.member8440522571783428010at_nat X4) S4)) (not (@ (@ tptp.member8440522571783428010at_nat Y5) S4)) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_387 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_206)) (MACRO_SR_EQ_INTRO :args (_let_206 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.finite4703585013658510744_o_nat (lambda ((S4 tptp.set_o) (F2 (-> Bool tptp.nat tptp.nat))) (forall ((X4 Bool) (Y5 Bool)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (or (not (@ (@ tptp.member_o X4) S4)) (not (@ (@ tptp.member_o Y5) S4)) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_388 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_205)) (MACRO_SR_EQ_INTRO :args (_let_205 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.finite3582905537739598962at_nat (lambda ((S4 tptp.set_nat) (F2 (-> tptp.nat tptp.nat tptp.nat))) (forall ((X4 tptp.nat) (Y5 tptp.nat)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (or (not (@ (@ tptp.member_nat X4) S4)) (not (@ (@ tptp.member_nat Y5) S4)) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_389 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_204)) (MACRO_SR_EQ_INTRO :args (_let_204 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.finite4582259249640653518nt_nat (lambda ((S4 tptp.set_int) (F2 (-> tptp.int tptp.nat tptp.nat))) (forall ((X4 tptp.int) (Y5 tptp.int)) (let ((_let_1 (@ F2 Y5))) (let ((_let_2 (@ F2 X4))) (or (not (@ (@ tptp.member_int X4) S4)) (not (@ (@ tptp.member_int Y5) S4)) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_390 (ASSUME :args (_let_203)))) (let ((_let_391 (ASSUME :args (_let_202)))) (let ((_let_392 (ASSUME :args (_let_201)))) (let ((_let_393 (ASSUME :args (_let_200)))) (let ((_let_394 (ASSUME :args (_let_199)))) (let ((_let_395 (EQ_RESOLVE (ASSUME :args (_let_198)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_198 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_396 (ASSUME :args (_let_197)))) (let ((_let_397 (EQ_RESOLVE (ASSUME :args (_let_196)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_196 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_398 (ASSUME :args (_let_195)))) (let ((_let_399 (ASSUME :args (_let_194)))) (let ((_let_400 (ASSUME :args (_let_193)))) (let ((_let_401 (ASSUME :args (_let_192)))) (let ((_let_402 (ASSUME :args (_let_191)))) (let ((_let_403 (ASSUME :args (_let_190)))) (let ((_let_404 (ASSUME :args (_let_189)))) (let ((_let_405 (ASSUME :args (_let_188)))) (let ((_let_406 (ASSUME :args (_let_187)))) (let ((_let_407 (ASSUME :args (_let_186)))) (let ((_let_408 (ASSUME :args (_let_185)))) (let ((_let_409 (ASSUME :args (_let_184)))) (let ((_let_410 (ASSUME :args (_let_183)))) (let ((_let_411 (ASSUME :args (_let_182)))) (let ((_let_412 (EQ_RESOLVE (ASSUME :args (_let_181)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_181 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_413 (EQ_RESOLVE (ASSUME :args (_let_180)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_180 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_414 (EQ_RESOLVE (ASSUME :args (_let_179)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_179 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_415 (EQ_RESOLVE (ASSUME :args (_let_178)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_178 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_416 (SYMM (ASSUME :args (_let_177))))) (let ((_let_417 (SYMM (ASSUME :args (_let_176))))) (let ((_let_418 (SYMM (ASSUME :args (_let_175))))) (let ((_let_419 (SYMM (ASSUME :args (_let_174))))) (let ((_let_420 (SYMM (ASSUME :args (_let_173))))) (let ((_let_421 (SYMM (ASSUME :args (_let_172))))) (let ((_let_422 (SYMM (ASSUME :args (_let_171))))) (let ((_let_423 (SYMM (ASSUME :args (_let_170))))) (let ((_let_424 (SYMM (ASSUME :args (_let_169))))) (let ((_let_425 (SYMM (ASSUME :args (_let_168))))) (let ((_let_426 (ASSUME :args (_let_167)))) (let ((_let_427 (0))) (let ((_let_428 (EQ_RESOLVE (ASSUME :args (_let_166)) (MACRO_SR_EQ_INTRO :args (_let_166 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_429 (AND_ELIM _let_428 :args _let_427))) (let ((_let_430 (1))) (let ((_let_431 (AND_ELIM _let_428 :args _let_430))) (let ((_let_432 (EQ_RESOLVE (ASSUME :args (_let_165)) (MACRO_SR_EQ_INTRO :args (_let_165 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_433 (AND_ELIM _let_432 :args _let_427))) (let ((_let_434 (AND_ELIM _let_432 :args _let_430))) (let ((_let_435 (EQ_RESOLVE (ASSUME :args (_let_164)) (MACRO_SR_EQ_INTRO :args (_let_164 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_436 (EQ_RESOLVE (AND_ELIM _let_435 :args _let_427) (MACRO_SR_EQ_INTRO (AND_INTRO _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.top_to4366644338036079209nt_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((BOUND_VARIABLE_143190 tptp.int) (BOUND_VARIABLE_143192 tptp.int)) true)))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_437 (EQ_RESOLVE (AND_ELIM _let_435 :args _let_430) (MACRO_SR_EQ_INTRO (AND_INTRO _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.bot_bo1796632182523588997nt_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((BOUND_VARIABLE_149122 tptp.int) (BOUND_VARIABLE_149124 tptp.int)) false)))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_438 (EQ_RESOLVE (ASSUME :args (_let_163)) (MACRO_SR_EQ_INTRO :args (_let_163 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_439 (EQ_RESOLVE (ASSUME :args (_let_162)) (MACRO_SR_EQ_INTRO :args (_let_162 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_440 (EQ_RESOLVE (ASSUME :args (_let_161)) (MACRO_SR_EQ_INTRO :args (_let_161 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_441 (EQ_RESOLVE (ASSUME :args (_let_160)) (MACRO_SR_EQ_INTRO :args (_let_160 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_442 (ASSUME :args (_let_159)))) (let ((_let_443 (ASSUME :args (_let_158)))) (let ((_let_444 (EQ_RESOLVE (ASSUME :args (_let_157)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_157 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_445 (EQ_RESOLVE (ASSUME :args (_let_156)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_156 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_446 (EQ_RESOLVE (ASSUME :args (_let_155)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_155 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_447 (ASSUME :args (_let_154)))) (let ((_let_448 (EQ_RESOLVE (ASSUME :args (_let_153)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_153 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_449 (EQ_RESOLVE (ASSUME :args (_let_152)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_152 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_450 (ASSUME :args (_let_151)))) (let ((_let_451 (ASSUME :args (_let_150)))) (let ((_let_452 (ASSUME :args (_let_149)))) (let ((_let_453 (ASSUME :args (_let_148)))) (let ((_let_454 (ASSUME :args (_let_147)))) (let ((_let_455 (ASSUME :args (_let_146)))) (let ((_let_456 (ASSUME :args (_let_145)))) (let ((_let_457 (ASSUME :args (_let_144)))) (let ((_let_458 (ASSUME :args (_let_143)))) (let ((_let_459 (ASSUME :args (_let_142)))) (let ((_let_460 (ASSUME :args (_let_141)))) (let ((_let_461 (ASSUME :args (_let_140)))) (let ((_let_462 (ASSUME :args (_let_139)))) (let ((_let_463 (ASSUME :args (_let_138)))) (let ((_let_464 (ASSUME :args (_let_137)))) (let ((_let_465 (ASSUME :args (_let_136)))) (let ((_let_466 (ASSUME :args (_let_135)))) (let ((_let_467 (ASSUME :args (_let_134)))) (let ((_let_468 (ASSUME :args (_let_133)))) (let ((_let_469 (ASSUME :args (_let_132)))) (let ((_let_470 (ASSUME :args (_let_131)))) (let ((_let_471 (ASSUME :args (_let_130)))) (let ((_let_472 (ASSUME :args (_let_129)))) (let ((_let_473 (ASSUME :args (_let_128)))) (let ((_let_474 (ASSUME :args (_let_127)))) (let ((_let_475 (EQ_RESOLVE (ASSUME :args (_let_126)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_126 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_476 (ASSUME :args (_let_125)))) (let ((_let_477 (EQ_RESOLVE (ASSUME :args (_let_124)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_124 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_478 (EQ_RESOLVE (ASSUME :args (_let_123)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_123 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_479 (ASSUME :args (_let_122)))) (let ((_let_480 (EQ_RESOLVE (ASSUME :args (_let_121)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_121 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_481 (ASSUME :args (_let_120)))) (let ((_let_482 (EQ_RESOLVE (ASSUME :args (_let_119)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_119 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_483 (EQ_RESOLVE (ASSUME :args (_let_118)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_118 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_484 (ASSUME :args (_let_117)))) (let ((_let_485 (ASSUME :args (_let_116)))) (let ((_let_486 (EQ_RESOLVE (ASSUME :args (_let_115)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_115 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_487 (EQ_RESOLVE (ASSUME :args (_let_114)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_114 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_488 (EQ_RESOLVE (ASSUME :args (_let_113)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_113 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_489 (ASSUME :args (_let_112)))) (let ((_let_490 (EQ_RESOLVE (ASSUME :args (_let_111)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_111 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_491 (ASSUME :args (_let_110)))) (let ((_let_492 (EQ_RESOLVE (ASSUME :args (_let_109)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_109 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_493 (EQ_RESOLVE (ASSUME :args (_let_108)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_108 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_494 (EQ_RESOLVE (ASSUME :args (_let_107)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_107 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_495 (EQ_RESOLVE (ASSUME :args (_let_106)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_106 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_496 (EQ_RESOLVE (ASSUME :args (_let_105)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_105 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_497 (EQ_RESOLVE (ASSUME :args (_let_104)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_104 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_498 (EQ_RESOLVE (ASSUME :args (_let_103)) (MACRO_SR_EQ_INTRO :args (_let_103 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_499 (EQ_RESOLVE (ASSUME :args (_let_102)) (MACRO_SR_EQ_INTRO :args (_let_102 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_500 (EQ_RESOLVE (ASSUME :args (_let_101)) (MACRO_SR_EQ_INTRO :args (_let_101 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_501 (EQ_RESOLVE (ASSUME :args (_let_100)) (MACRO_SR_EQ_INTRO :args (_let_100 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_502 (EQ_RESOLVE (ASSUME :args (_let_99)) (MACRO_SR_EQ_INTRO :args (_let_99 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_503 (ASSUME :args (_let_98)))) (let ((_let_504 (EQ_RESOLVE (ASSUME :args (_let_97)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_97 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_505 (EQ_RESOLVE (ASSUME :args (_let_96)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_96 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_506 (EQ_RESOLVE (ASSUME :args (_let_95)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_95 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_507 (EQ_RESOLVE (ASSUME :args (_let_94)) (MACRO_SR_EQ_INTRO :args (_let_94 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_508 (EQ_RESOLVE (ASSUME :args (_let_93)) (MACRO_SR_EQ_INTRO :args (_let_93 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_509 (EQ_RESOLVE (ASSUME :args (_let_92)) (MACRO_SR_EQ_INTRO :args (_let_92 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_510 (EQ_RESOLVE (ASSUME :args (_let_91)) (MACRO_SR_EQ_INTRO :args (_let_91 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_511 (EQ_RESOLVE (ASSUME :args (_let_90)) (MACRO_SR_EQ_INTRO :args (_let_90 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_512 (EQ_RESOLVE (ASSUME :args (_let_89)) (MACRO_SR_EQ_INTRO :args (_let_89 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_513 (EQ_RESOLVE (ASSUME :args (_let_88)) (MACRO_SR_EQ_INTRO :args (_let_88 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_514 (EQ_RESOLVE (ASSUME :args (_let_87)) (MACRO_SR_EQ_INTRO :args (_let_87 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_515 (EQ_RESOLVE (ASSUME :args (_let_86)) (MACRO_SR_EQ_INTRO :args (_let_86 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_516 (EQ_RESOLVE (ASSUME :args (_let_85)) (MACRO_SR_EQ_INTRO :args (_let_85 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_517 (ASSUME :args (_let_84)))) (let ((_let_518 (EQ_RESOLVE (ASSUME :args (_let_83)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_83 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_519 (ASSUME :args (_let_82)))) (let ((_let_520 (EQ_RESOLVE (ASSUME :args (_let_81)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_81 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_521 (ASSUME :args (_let_80)))) (let ((_let_522 (ASSUME :args (_let_77)))) (let ((_let_523 (ASSUME :args (_let_76)))) (let ((_let_524 (EQ_RESOLVE (SYMM (ASSUME :args (_let_75))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.bot_bot_set_nat _let_74) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_525 (SYMM (ASSUME :args (_let_73))))) (let ((_let_526 (ASSUME :args (_let_72)))) (let ((_let_527 (ASSUME :args (_let_70)))) (let ((_let_528 (EQ_RESOLVE (ASSUME :args (_let_69)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_69 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_529 (ASSUME :args (_let_68)))) (let ((_let_530 (ASSUME :args (_let_67)))) (let ((_let_531 (EQ_RESOLVE (ASSUME :args (_let_66)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_66 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_532 (EQ_RESOLVE (ASSUME :args (_let_65)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_65 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_533 (EQ_RESOLVE (ASSUME :args (_let_63)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_63 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_534 (ASSUME :args (_let_62)))) (let ((_let_535 (EQ_RESOLVE (ASSUME :args (_let_61)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_61 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_536 (EQ_RESOLVE (ASSUME :args (_let_60)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_60 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_537 (EQ_RESOLVE (ASSUME :args (_let_59)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_59 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_538 (ASSUME :args (_let_54)))) (let ((_let_539 (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_50 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_540 (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_47 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_541 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_542 (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_45 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_543 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_544 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_545 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_546 (ASSUME :args (_let_38)))) (let ((_let_547 (ASSUME :args (_let_37)))) (let ((_let_548 (ASSUME :args (_let_36)))) (let ((_let_549 (ASSUME :args (_let_35)))) (let ((_let_550 (ASSUME :args (_let_34)))) (let ((_let_551 (ASSUME :args (_let_33)))) (let ((_let_552 (ASSUME :args (_let_32)))) (let ((_let_553 (ASSUME :args (_let_31)))) (let ((_let_554 (ASSUME :args (_let_30)))) (let ((_let_555 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_556 (SYMM (ASSUME :args (_let_28))))) (let ((_let_557 (SYMM (ASSUME :args (_let_27))))) (let ((_let_558 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_559 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_560 (ASSUME :args (_let_23)))) (let ((_let_561 (ASSUME :args (_let_22)))) (let ((_let_562 (ASSUME :args (_let_21)))) (let ((_let_563 (ASSUME :args (_let_20)))) (let ((_let_564 (EQ_RESOLVE (SYMM (ASSUME :args (_let_19))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.top_top_set_list_nat _let_18) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_565 (EQ_RESOLVE (SYMM (ASSUME :args (_let_17))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.top_to6661820994512907621at_nat _let_16) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_566 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_567 (ASSUME :args (_let_14)))) (let ((_let_568 (ASSUME :args (_let_13)))) (let ((_let_569 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.code_divmod_integer (lambda ((K5 tptp.code_integer) (L3 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs K5) L3))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_3 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger K5)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 L3)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 K5)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger S)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger L3) S)))))) _let_1))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger L3)) (@ _let_2 K5)) (@ (@ tptp.produc6499014454317279255nteger tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le6747313008572928689nteger K5) tptp.zero_z3403309356797280102nteger)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger S)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger L3)) S)))))) _let_1))))))))))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_570 (ASSUME :args (_let_11)))) (let ((_let_571 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_572 (ASSUME :args (_let_9)))) (let ((_let_573 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_574 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_575 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_576 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_577 (AND_INTRO (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_1)) :args ((= tptp.thesis false))) (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309) :args ((= tptp.adjust_div (@ tptp.produc8211389475949308722nt_int (lambda ((Q3 tptp.int) (R5 tptp.int)) (@ (@ tptp.plus_plus_int Q3) (@ tptp.zero_n2684676970156552555ol_int (not (= tptp.zero_zero_int R5))))))) SB_DEFAULT SBA_FIXPOINT))) _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_434 _let_433 _let_431 _let_429 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309))) (let ((_let_578 (EQ_RESOLVE (ASSUME :args (_let_286)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_286 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_577 :args ((forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (or (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R)) (and (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (= R (@ tptp.produc473321116828791851t_unit _let_1)))))) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (or (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R)) (and (= H2 (@ (@ tptp.produc2552614499379209865t_unit (lambda ((X12 tptp.ref_a) (X23 tptp.heap_e7401611519738050253t_unit)) X23)) _let_1)) (= R (@ (@ tptp.produc4846201513286513633_ref_a (lambda ((X12 tptp.ref_a) (X23 tptp.heap_e7401611519738050253t_unit)) X12)) _let_1)))))) _let_308))) (PREPROCESS :args ((= _let_308 _let_307))))))) (let ((_let_579 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_306)) :args ((or _let_305 _let_303 (not _let_306)))) (EQ_RESOLVE (ASSUME :args (_let_295)) (TRANS (MACRO_SR_EQ_INTRO _let_577 :args (_let_295 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a _let_296)) tptp.h) tptp.h2) tptp.r) _let_304))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_578 :args (_let_299 tptp.h tptp.h2 tptp.r QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_307))) _let_578 :args (_let_306 false _let_307)) :args (_let_303 false _let_304 false _let_306)))) (let ((_let_580 (not _let_303))) (let ((_let_581 (not _let_301))) (let ((_let_582 (forall ((u |u_(-> tptp.set_int tptp.set_rat tptp.set_int_rat)|) (e |u_(-> tptp.set_rat tptp.set_int_rat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_rat tptp.set_int_rat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15778 v ii) (ite (= i ii) e (ho_15778 u ii)))))))))) (let ((_let_583 (forall ((x |u_(-> tptp.set_int tptp.set_rat tptp.set_int_rat)|) (y |u_(-> tptp.set_int tptp.set_rat tptp.set_int_rat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15778 x z) (ho_15778 y z)))) (= x y))))) (let ((_let_584 (forall ((u |u_(-> tptp.set_rat tptp.set_int_rat)|) (e tptp.set_int_rat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_int_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15779 v ii) (ite (= i ii) e (ho_15779 u ii)))))))))) (let ((_let_585 (forall ((x |u_(-> tptp.set_rat tptp.set_int_rat)|) (y |u_(-> tptp.set_rat tptp.set_int_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15779 x z) (ho_15779 y z)))) (= x y))))) (let ((_let_586 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ Bool)|) (e Bool) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_15776 v ii) (ite (= i ii) e (ho_15776 u ii)))))))))) (let ((_let_587 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_15776 x z) (ho_15776 y z)))) (= x y))))) (let ((_let_588 (forall ((u |u_(-> tptp.set_int_nat Bool)|) (e Bool) (i tptp.set_int_nat)) (not (forall ((v |u_(-> tptp.set_int_nat Bool)|)) (not (forall ((ii tptp.set_int_nat)) (= (ho_15339 v ii) (ite (= i ii) e (ho_15339 u ii)))))))))) (let ((_let_589 (forall ((x |u_(-> tptp.set_int_nat Bool)|) (y |u_(-> tptp.set_int_nat Bool)|)) (or (not (forall ((z tptp.set_int_nat)) (= (ho_15339 x z) (ho_15339 y z)))) (= x y))))) (let ((_let_590 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool Bool)|) (e |u_(-> Bool Bool Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_15772 v ii) (ite (= i ii) e (ho_15772 u ii)))))))))) (let ((_let_591 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_15772 x z) (ho_15772 y z)))) (= x y))))) (let ((_let_592 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool tptp.product_unit)|) (e |u_(-> Bool tptp.product_unit Bool tptp.product_unit)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool tptp.product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_15769 v ii) (ite (= i ii) e (ho_15769 u ii)))))))))) (let ((_let_593 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool tptp.product_unit)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool tptp.product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_15769 x z) (ho_15769 y z)))) (= x y))))) (let ((_let_594 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat Bool tptp.nat)|) (e |u_(-> Bool tptp.nat Bool tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_15766 v ii) (ite (= i ii) e (ho_15766 u ii)))))))))) (let ((_let_595 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_15766 x z) (ho_15766 y z)))) (= x y))))) (let ((_let_596 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit Bool)|) (e |u_(-> tptp.product_unit Bool tptp.product_unit Bool)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_15763 v ii) (ite (= i ii) e (ho_15763 u ii)))))))))) (let ((_let_597 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_15763 x z) (ho_15763 y z)))) (= x y))))) (let ((_let_598 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|) (i |u_(-> tptp.product_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_15760 v ii) (ite (= i ii) e (ho_15760 u ii)))))))))) (let ((_let_599 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_15760 x z) (ho_15760 y z)))) (= x y))))) (let ((_let_600 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|) (e |u_(-> tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15757 v ii) (ite (= i ii) e (ho_15757 u ii)))))))))) (let ((_let_601 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15757 x z) (ho_15757 y z)))) (= x y))))) (let ((_let_602 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool tptp.int Bool)|) (e |u_(-> tptp.int Bool tptp.int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_15754 v ii) (ite (= i ii) e (ho_15754 u ii)))))))))) (let ((_let_603 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_15754 x z) (ho_15754 y z)))) (= x y))))) (let ((_let_604 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit tptp.int tptp.product_unit)|) (e |u_(-> tptp.int tptp.product_unit tptp.int tptp.product_unit)|) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit tptp.int tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15751 v ii) (ite (= i ii) e (ho_15751 u ii)))))))))) (let ((_let_605 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit tptp.int tptp.product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit tptp.int tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15751 x z) (ho_15751 y z)))) (= x y))))) (let ((_let_606 (forall ((u |u_(-> tptp.int tptp.product_unit tptp.int tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.int tptp.product_unit)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_unit tptp.int tptp.product_unit)|)) (not (forall ((ii tptp.int)) (= (ho_15752 v ii) (ite (= i ii) e (ho_15752 u ii)))))))))) (let ((_let_607 (forall ((x |u_(-> tptp.int tptp.product_unit tptp.int tptp.product_unit)|) (y |u_(-> tptp.int tptp.product_unit tptp.int tptp.product_unit)|)) (or (not (forall ((z tptp.int)) (= (ho_15752 x z) (ho_15752 y z)))) (= x y))))) (let ((_let_608 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|) (e |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_15748 v ii) (ite (= i ii) e (ho_15748 u ii)))))))))) (let ((_let_609 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_15748 x z) (ho_15748 y z)))) (= x y))))) (let ((_let_610 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13480 v ii) (ite (= i ii) e (ho_13480 u ii)))))))))) (let ((_let_611 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13480 x z) (ho_13480 y z)))) (= x y))))) (let ((_let_612 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ Bool tptp.rat)|) (e |u_(-> Bool tptp.rat)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ Bool tptp.rat)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_15737 v ii) (ite (= i ii) e (ho_15737 u ii)))))))))) (let ((_let_613 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ Bool tptp.rat)|) (y |u_(-> _u_(-> tptp.rat Bool)_ Bool tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_15737 x z) (ho_15737 y z)))) (= x y))))) (let ((_let_614 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15733 v ii) (ite (= i ii) e (ho_15733 u ii)))))))))) (let ((_let_615 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15733 x z) (ho_15733 y z)))) (= x y))))) (let ((_let_616 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|) (e |u_(-> tptp.num tptp.nat)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_15731 v ii) (ite (= i ii) e (ho_15731 u ii)))))))))) (let ((_let_617 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_15731 x z) (ho_15731 y z)))) (= x y))))) (let ((_let_618 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11453 v ii) (ite (= i ii) e (ho_11453 u ii)))))))))) (let ((_let_619 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11453 x z) (ho_11453 y z)))) (= x y))))) (let ((_let_620 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15727 v ii) (ite (= i ii) e (ho_15727 u ii)))))))))) (let ((_let_621 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15727 x z) (ho_15727 y z)))) (= x y))))) (let ((_let_622 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.int)|) (e |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15724 v ii) (ite (= i ii) e (ho_15724 u ii)))))))))) (let ((_let_623 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15724 x z) (ho_15724 y z)))) (= x y))))) (let ((_let_624 (forall ((u |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (i tptp.set_set_Product_unit)) (not (forall ((v |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_set_Product_unit)) (= (ho_15719 v ii) (ite (= i ii) e (ho_15719 u ii)))))))))) (let ((_let_625 (forall ((x |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_set_Product_unit)) (= (ho_15719 x z) (ho_15719 y z)))) (= x y))))) (let ((_let_626 (forall ((u |u_(-> tptp.set_set_nat tptp.set_set_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_set_nat tptp.set_set_nat)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_set_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_15714 v ii) (ite (= i ii) e (ho_15714 u ii)))))))))) (let ((_let_627 (forall ((x |u_(-> tptp.set_set_nat tptp.set_set_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_set_nat tptp.set_set_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_15714 x z) (ho_15714 y z)))) (= x y))))) (let ((_let_628 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ Bool)|) (e Bool) (i |u_(-> tptp.product_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_15712 v ii) (ite (= i ii) e (ho_15712 u ii)))))))))) (let ((_let_629 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_15712 x z) (ho_15712 y z)))) (= x y))))) (let ((_let_630 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.product_unit)_ Bool)|) (e Bool) (i |u_(-> tptp.set_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.product_unit)_ Bool)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.product_unit)|)) (= (ho_15710 v ii) (ite (= i ii) e (ho_15710 u ii)))))))))) (let ((_let_631 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.product_unit)_ Bool)|) (y |u_(-> _u_(-> tptp.set_nat tptp.product_unit)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.product_unit)|)) (= (ho_15710 x z) (ho_15710 y z)))) (= x y))))) (let ((_let_632 (forall ((u |u_(-> tptp.set_nat tptp.product_unit)|) (e tptp.product_unit) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.product_unit)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15708 v ii) (ite (= i ii) e (ho_15708 u ii)))))))))) (let ((_let_633 (forall ((x |u_(-> tptp.set_nat tptp.product_unit)|) (y |u_(-> tptp.set_nat tptp.product_unit)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15708 x z) (ho_15708 y z)))) (= x y))))) (let ((_let_634 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_15707 v ii) (ite (= i ii) e (ho_15707 u ii)))))))))) (let ((_let_635 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_15707 x z) (ho_15707 y z)))) (= x y))))) (let ((_let_636 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|) (e |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_15702 v ii) (ite (= i ii) e (ho_15702 u ii)))))))))) (let ((_let_637 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_15702 x z) (ho_15702 y z)))) (= x y))))) (let ((_let_638 (forall ((u |u_(-> tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|) (e tptp.set_Pr1133966238863718811t_unit) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_15700 v ii) (ite (= i ii) e (ho_15700 u ii)))))))))) (let ((_let_639 (forall ((x |u_(-> tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_15700 x z) (ho_15700 y z)))) (= x y))))) (let ((_let_640 (forall ((u |u_(-> _u_(-> tptp.num tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.num tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.int Bool)|)) (= (ho_14704 v ii) (ite (= i ii) e (ho_14704 u ii)))))))))) (let ((_let_641 (forall ((x |u_(-> _u_(-> tptp.num tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int Bool)|)) (= (ho_14704 x z) (ho_14704 y z)))) (= x y))))) (let ((_let_642 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_int_int Bool)|) (e |u_(-> tptp.set_int_int Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_int_int Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (= (ho_15697 v ii) (ite (= i ii) e (ho_15697 u ii)))))))))) (let ((_let_643 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_int_int Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_int_int Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (= (ho_15697 x z) (ho_15697 y z)))) (= x y))))) (let ((_let_644 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (= (ho_15692 v ii) (ite (= i ii) e (ho_15692 u ii)))))))))) (let ((_let_645 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (= (ho_15692 x z) (ho_15692 y z)))) (= x y))))) (let ((_let_646 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|) (e |u_(-> tptp.nat Bool tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_7245 v ii) (ite (= i ii) e (ho_7245 u ii)))))))))) (let ((_let_647 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_7245 x z) (ho_7245 y z)))) (= x y))))) (let ((_let_648 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_int_o)_ tptp.set_Pr903927857289325719_int_o tptp.set_o)|) (e |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_o)|) (i |u_(-> Bool tptp.product_prod_int_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_int_o)_ tptp.set_Pr903927857289325719_int_o tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_int_o)|)) (= (ho_15687 v ii) (ite (= i ii) e (ho_15687 u ii)))))))))) (let ((_let_649 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_int_o)_ tptp.set_Pr903927857289325719_int_o tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.product_prod_int_o)_ tptp.set_Pr903927857289325719_int_o tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_int_o)|)) (= (ho_15687 x z) (ho_15687 y z)))) (= x y))))) (let ((_let_650 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ tptp.set_Product_prod_o_o tptp.set_o)|) (e |u_(-> tptp.set_Product_prod_o_o tptp.set_o)|) (i |u_(-> Bool tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ tptp.set_Product_prod_o_o tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_15683 v ii) (ite (= i ii) e (ho_15683 u ii)))))))))) (let ((_let_651 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ tptp.set_Product_prod_o_o tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ tptp.set_Product_prod_o_o tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_15683 x z) (ho_15683 y z)))) (= x y))))) (let ((_let_652 (forall ((u |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|) (e tptp.produc6865911496949736918t_unit) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_16167 v ii) (ite (= i ii) e (ho_16167 u ii)))))))))) (let ((_let_653 (forall ((x |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|) (y |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_16167 x z) (ho_16167 y z)))) (= x y))))) (let ((_let_654 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_15672 v ii) (ite (= i ii) e (ho_15672 u ii)))))))))) (let ((_let_655 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_15672 x z) (ho_15672 y z)))) (= x y))))) (let ((_let_656 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_num)|) (e tptp.set_num) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_num)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_15670 v ii) (ite (= i ii) e (ho_15670 u ii)))))))))) (let ((_let_657 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_num)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_num)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_15670 x z) (ho_15670 y z)))) (= x y))))) (let ((_let_658 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4983 v ii) (ite (= i ii) e (ho_4983 u ii)))))))))) (let ((_let_659 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4983 x z) (ho_4983 y z)))) (= x y))))) (let ((_let_660 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_rat tptp.set_o)|) (e |u_(-> tptp.set_rat tptp.set_o)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_rat tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_15661 v ii) (ite (= i ii) e (ho_15661 u ii)))))))))) (let ((_let_661 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_rat tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_rat tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_15661 x z) (ho_15661 y z)))) (= x y))))) (let ((_let_662 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_char tptp.set_Product_unit)|) (e |u_(-> tptp.set_char tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_char tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.char)|)) (= (ho_15655 v ii) (ite (= i ii) e (ho_15655 u ii)))))))))) (let ((_let_663 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_char tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_char tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.char)|)) (= (ho_15655 x z) (ho_15655 y z)))) (= x y))))) (let ((_let_664 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_o tptp.set_Product_unit)|) (e |u_(-> tptp.set_o tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_o tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_15651 v ii) (ite (= i ii) e (ho_15651 u ii)))))))))) (let ((_let_665 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_o tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_o tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_15651 x z) (ho_15651 y z)))) (= x y))))) (let ((_let_666 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|) (i |u_(-> tptp.set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_15644 v ii) (ite (= i ii) e (ho_15644 u ii)))))))))) (let ((_let_667 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_15644 x z) (ho_15644 y z)))) (= x y))))) (let ((_let_668 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15641 v ii) (ite (= i ii) e (ho_15641 u ii)))))))))) (let ((_let_669 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15641 x z) (ho_15641 y z)))) (= x y))))) (let ((_let_670 (forall ((u |u_(-> _u_(-> tptp.set_o tptp.set_nat)_ _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|) (e |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|) (i |u_(-> tptp.set_o tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_o tptp.set_nat)_ _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_o tptp.set_nat)|)) (= (ho_15635 v ii) (ite (= i ii) e (ho_15635 u ii)))))))))) (let ((_let_671 (forall ((x |u_(-> _u_(-> tptp.set_o tptp.set_nat)_ _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_o tptp.set_nat)_ _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_o tptp.set_nat)|)) (= (ho_15635 x z) (ho_15635 y z)))) (= x y))))) (let ((_let_672 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_15632 v ii) (ite (= i ii) e (ho_15632 u ii)))))))))) (let ((_let_673 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_15632 x z) (ho_15632 y z)))) (= x y))))) (let ((_let_674 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat tptp.nat tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_15629 v ii) (ite (= i ii) e (ho_15629 u ii)))))))))) (let ((_let_675 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_15629 x z) (ho_15629 y z)))) (= x y))))) (let ((_let_676 (forall ((u |u_(-> tptp.nat tptp.rat tptp.nat tptp.rat)|) (e |u_(-> tptp.rat tptp.nat tptp.rat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.rat tptp.nat tptp.rat)|)) (not (forall ((ii tptp.nat)) (= (ho_15630 v ii) (ite (= i ii) e (ho_15630 u ii)))))))))) (let ((_let_677 (forall ((x |u_(-> tptp.nat tptp.rat tptp.nat tptp.rat)|) (y |u_(-> tptp.nat tptp.rat tptp.nat tptp.rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_15630 x z) (ho_15630 y z)))) (= x y))))) (let ((_let_678 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_15623 v ii) (ite (= i ii) e (ho_15623 u ii)))))))))) (let ((_let_679 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_15623 x z) (ho_15623 y z)))) (= x y))))) (let ((_let_680 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13497 v ii) (ite (= i ii) e (ho_13497 u ii)))))))))) (let ((_let_681 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13497 x z) (ho_13497 y z)))) (= x y))))) (let ((_let_682 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7930 v ii) (ite (= i ii) e (ho_7930 u ii)))))))))) (let ((_let_683 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7930 x z) (ho_7930 y z)))) (= x y))))) (let ((_let_684 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (e tptp.heap_e7401611519738050253t_unit) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_16166 v ii) (ite (= i ii) e (ho_16166 u ii)))))))))) (let ((_let_685 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_16166 x z) (ho_16166 y z)))) (= x y))))) (let ((_let_686 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (= (ho_11070 v ii) (ite (= i ii) e (ho_11070 u ii)))))))))) (let ((_let_687 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (= (ho_11070 x z) (ho_11070 y z)))) (= x y))))) (let ((_let_688 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|) (e tptp.produc7812382424243267045t_unit) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_15613 v ii) (ite (= i ii) e (ho_15613 u ii)))))))))) (let ((_let_689 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_15613 x z) (ho_15613 y z)))) (= x y))))) (let ((_let_690 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_int tptp.set_rat)|) (e |u_(-> tptp.set_int tptp.set_rat)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_15602 v ii) (ite (= i ii) e (ho_15602 u ii)))))))))) (let ((_let_691 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_15602 x z) (ho_15602 y z)))) (= x y))))) (let ((_let_692 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_nat tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.set_rat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_15600 v ii) (ite (= i ii) e (ho_15600 u ii)))))))))) (let ((_let_693 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_15600 x z) (ho_15600 y z)))) (= x y))))) (let ((_let_694 (forall ((u |u_(-> tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.int Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7570 v ii) (ite (= i ii) e (ho_7570 u ii)))))))))) (let ((_let_695 (forall ((x |u_(-> tptp.set_o tptp.int Bool)|) (y |u_(-> tptp.set_o tptp.int Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7570 x z) (ho_7570 y z)))) (= x y))))) (let ((_let_696 (forall ((u |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_char tptp.set_rat)|) (e |u_(-> tptp.set_char tptp.set_rat)|) (i |u_(-> tptp.rat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_char tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.char)|)) (= (ho_15597 v ii) (ite (= i ii) e (ho_15597 u ii)))))))))) (let ((_let_697 (forall ((x |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_char tptp.set_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_char tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.char)|)) (= (ho_15597 x z) (ho_15597 y z)))) (= x y))))) (let ((_let_698 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_rat tptp.set_char)|) (e |u_(-> tptp.set_rat tptp.set_char)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_rat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_15590 v ii) (ite (= i ii) e (ho_15590 u ii)))))))))) (let ((_let_699 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_rat tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_rat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_15590 x z) (ho_15590 y z)))) (= x y))))) (let ((_let_700 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_char)|) (e tptp.set_char) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_char)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_15550 v ii) (ite (= i ii) e (ho_15550 u ii)))))))))) (let ((_let_701 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_char)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_char)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_15550 x z) (ho_15550 y z)))) (= x y))))) (let ((_let_702 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15586 v ii) (ite (= i ii) e (ho_15586 u ii)))))))))) (let ((_let_703 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15586 x z) (ho_15586 y z)))) (= x y))))) (let ((_let_704 (forall ((u |u_(-> tptp.int tptp.num tptp.int tptp.num)|) (e |u_(-> tptp.num tptp.int tptp.num)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.num tptp.int tptp.num)|)) (not (forall ((ii tptp.int)) (= (ho_15584 v ii) (ite (= i ii) e (ho_15584 u ii)))))))))) (let ((_let_705 (forall ((x |u_(-> tptp.int tptp.num tptp.int tptp.num)|) (y |u_(-> tptp.int tptp.num tptp.int tptp.num)|)) (or (not (forall ((z tptp.int)) (= (ho_15584 x z) (ho_15584 y z)))) (= x y))))) (let ((_let_706 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|) (e |u_(-> tptp.product_unit tptp.nat)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6926 v ii) (ite (= i ii) e (ho_6926 u ii)))))))))) (let ((_let_707 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6926 x z) (ho_6926 y z)))) (= x y))))) (let ((_let_708 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (= (ho_15618 v ii) (ite (= i ii) e (ho_15618 u ii)))))))))) (let ((_let_709 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (= (ho_15618 x z) (ho_15618 y z)))) (= x y))))) (let ((_let_710 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_12869 v ii) (ite (= i ii) e (ho_12869 u ii)))))))))) (let ((_let_711 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_12869 x z) (ho_12869 y z)))) (= x y))))) (let ((_let_712 (forall ((u |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|) (e tptp.set_Co726186806682698383nteger) (i tptp.set_Pr4111642102156807771nteger)) (not (forall ((v |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (not (forall ((ii tptp.set_Pr4111642102156807771nteger)) (= (ho_15571 v ii) (ite (= i ii) e (ho_15571 u ii)))))))))) (let ((_let_713 (forall ((x |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|) (y |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (or (not (forall ((z tptp.set_Pr4111642102156807771nteger)) (= (ho_15571 x z) (ho_15571 y z)))) (= x y))))) (let ((_let_714 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (e |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15567 v ii) (ite (= i ii) e (ho_15567 u ii)))))))))) (let ((_let_715 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15567 x z) (ho_15567 y z)))) (= x y))))) (let ((_let_716 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_num tptp.set_nat)|) (e |u_(-> tptp.set_num tptp.set_nat)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_num tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_15565 v ii) (ite (= i ii) e (ho_15565 u ii)))))))))) (let ((_let_717 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_num tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_num tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_15565 x z) (ho_15565 y z)))) (= x y))))) (let ((_let_718 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13779 v ii) (ite (= i ii) e (ho_13779 u ii)))))))))) (let ((_let_719 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13779 x z) (ho_13779 y z)))) (= x y))))) (let ((_let_720 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15560 v ii) (ite (= i ii) e (ho_15560 u ii)))))))))) (let ((_let_721 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15560 x z) (ho_15560 y z)))) (= x y))))) (let ((_let_722 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_15555 v ii) (ite (= i ii) e (ho_15555 u ii)))))))))) (let ((_let_723 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_15555 x z) (ho_15555 y z)))) (= x y))))) (let ((_let_724 (forall ((u |u_(-> tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr553994874890374343at_nat)) (not (forall ((v |u_(-> tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr553994874890374343at_nat)) (= (ho_7283 v ii) (ite (= i ii) e (ho_7283 u ii)))))))))) (let ((_let_725 (forall ((x |u_(-> tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr553994874890374343at_nat)) (= (ho_7283 x z) (ho_7283 y z)))) (= x y))))) (let ((_let_726 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_char)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_char)|) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_15549 v ii) (ite (= i ii) e (ho_15549 u ii)))))))))) (let ((_let_727 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_15549 x z) (ho_15549 y z)))) (= x y))))) (let ((_let_728 (forall ((u |u_(-> tptp.set_int tptp.set_nat tptp.int Bool)|) (e |u_(-> tptp.set_nat tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_nat tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8787 v ii) (ite (= i ii) e (ho_8787 u ii)))))))))) (let ((_let_729 (forall ((x |u_(-> tptp.set_int tptp.set_nat tptp.int Bool)|) (y |u_(-> tptp.set_int tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8787 x z) (ho_8787 y z)))) (= x y))))) (let ((_let_730 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15547 v ii) (ite (= i ii) e (ho_15547 u ii)))))))))) (let ((_let_731 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15547 x z) (ho_15547 y z)))) (= x y))))) (let ((_let_732 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15544 v ii) (ite (= i ii) e (ho_15544 u ii)))))))))) (let ((_let_733 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|) (y |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15544 x z) (ho_15544 y z)))) (= x y))))) (let ((_let_734 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15542 v ii) (ite (= i ii) e (ho_15542 u ii)))))))))) (let ((_let_735 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15542 x z) (ho_15542 y z)))) (= x y))))) (let ((_let_736 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15540 v ii) (ite (= i ii) e (ho_15540 u ii)))))))))) (let ((_let_737 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15540 x z) (ho_15540 y z)))) (= x y))))) (let ((_let_738 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ Bool)|) (e Bool) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_15531 v ii) (ite (= i ii) e (ho_15531 u ii)))))))))) (let ((_let_739 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_15531 x z) (ho_15531 y z)))) (= x y))))) (let ((_let_740 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat_int Bool)|) (e |u_(-> tptp.set_nat_int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_15524 v ii) (ite (= i ii) e (ho_15524 u ii)))))))))) (let ((_let_741 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_15524 x z) (ho_15524 y z)))) (= x y))))) (let ((_let_742 (forall ((u |u_(-> tptp.set_nat tptp.set_int tptp.set_nat_int)|) (e |u_(-> tptp.set_int tptp.set_nat_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_int tptp.set_nat_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15521 v ii) (ite (= i ii) e (ho_15521 u ii)))))))))) (let ((_let_743 (forall ((x |u_(-> tptp.set_nat tptp.set_int tptp.set_nat_int)|) (y |u_(-> tptp.set_nat tptp.set_int tptp.set_nat_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15521 x z) (ho_15521 y z)))) (= x y))))) (let ((_let_744 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat_nat Bool)|) (e |u_(-> tptp.set_rat_nat Bool)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_15518 v ii) (ite (= i ii) e (ho_15518 u ii)))))))))) (let ((_let_745 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat_nat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_15518 x z) (ho_15518 y z)))) (= x y))))) (let ((_let_746 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_15513 v ii) (ite (= i ii) e (ho_15513 u ii)))))))))) (let ((_let_747 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_15513 x z) (ho_15513 y z)))) (= x y))))) (let ((_let_748 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat_o Bool)|) (e |u_(-> tptp.set_rat_o Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat_o Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_15510 v ii) (ite (= i ii) e (ho_15510 u ii)))))))))) (let ((_let_749 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat_o Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat_o Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_15510 x z) (ho_15510 y z)))) (= x y))))) (let ((_let_750 (forall ((u |u_(-> tptp.set_rat_o Bool)|) (e Bool) (i tptp.set_rat_o)) (not (forall ((v |u_(-> tptp.set_rat_o Bool)|)) (not (forall ((ii tptp.set_rat_o)) (= (ho_15511 v ii) (ite (= i ii) e (ho_15511 u ii)))))))))) (let ((_let_751 (forall ((x |u_(-> tptp.set_rat_o Bool)|) (y |u_(-> tptp.set_rat_o Bool)|)) (or (not (forall ((z tptp.set_rat_o)) (= (ho_15511 x z) (ho_15511 y z)))) (= x y))))) (let ((_let_752 (forall ((u |u_(-> tptp.set_o tptp.set_rat_o)|) (e tptp.set_rat_o) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_rat_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_15508 v ii) (ite (= i ii) e (ho_15508 u ii)))))))))) (let ((_let_753 (forall ((x |u_(-> tptp.set_o tptp.set_rat_o)|) (y |u_(-> tptp.set_o tptp.set_rat_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15508 x z) (ho_15508 y z)))) (= x y))))) (let ((_let_754 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_o tptp.set_se6425085446898223655at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5501 v ii) (ite (= i ii) e (ho_5501 u ii)))))))))) (let ((_let_755 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5501 x z) (ho_5501 y z)))) (= x y))))) (let ((_let_756 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat_Product_unit Bool)|) (e |u_(-> tptp.set_rat_Product_unit Bool)|) (i |u_(-> tptp.rat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_unit)|)) (= (ho_15502 v ii) (ite (= i ii) e (ho_15502 u ii)))))))))) (let ((_let_757 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_unit)|)) (= (ho_15502 x z) (ho_15502 y z)))) (= x y))))) (let ((_let_758 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_rat_Product_unit)|) (e tptp.set_rat_Product_unit) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_rat_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15500 v ii) (ite (= i ii) e (ho_15500 u ii)))))))))) (let ((_let_759 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_rat_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.set_rat_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15500 x z) (ho_15500 y z)))) (= x y))))) (let ((_let_760 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7456 v ii) (ite (= i ii) e (ho_7456 u ii)))))))))) (let ((_let_761 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7456 x z) (ho_7456 y z)))) (= x y))))) (let ((_let_762 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_15497 v ii) (ite (= i ii) e (ho_15497 u ii)))))))))) (let ((_let_763 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_15497 x z) (ho_15497 y z)))) (= x y))))) (let ((_let_764 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char_nat Bool)|) (e |u_(-> tptp.set_char_nat Bool)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char_nat Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_15494 v ii) (ite (= i ii) e (ho_15494 u ii)))))))))) (let ((_let_765 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char_nat Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_15494 x z) (ho_15494 y z)))) (= x y))))) (let ((_let_766 (forall ((u |u_(-> tptp.set_nat tptp.set_char_nat)|) (e tptp.set_char_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_char_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15492 v ii) (ite (= i ii) e (ho_15492 u ii)))))))))) (let ((_let_767 (forall ((x |u_(-> tptp.set_nat tptp.set_char_nat)|) (y |u_(-> tptp.set_nat tptp.set_char_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15492 x z) (ho_15492 y z)))) (= x y))))) (let ((_let_768 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)_ tptp.set_nat_int tptp.set_int_nat)|) (e |u_(-> tptp.set_nat_int tptp.set_int_nat)|) (i |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)_ tptp.set_nat_int tptp.set_int_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (= (ho_15847 v ii) (ite (= i ii) e (ho_15847 u ii)))))))))) (let ((_let_769 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)_ tptp.set_nat_int tptp.set_int_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)_ tptp.set_nat_int tptp.set_int_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (= (ho_15847 x z) (ho_15847 y z)))) (= x y))))) (let ((_let_770 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_15489 v ii) (ite (= i ii) e (ho_15489 u ii)))))))))) (let ((_let_771 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_15489 x z) (ho_15489 y z)))) (= x y))))) (let ((_let_772 (forall ((u |u_(-> tptp.set_char_o Bool)|) (e Bool) (i tptp.set_char_o)) (not (forall ((v |u_(-> tptp.set_char_o Bool)|)) (not (forall ((ii tptp.set_char_o)) (= (ho_15487 v ii) (ite (= i ii) e (ho_15487 u ii)))))))))) (let ((_let_773 (forall ((x |u_(-> tptp.set_char_o Bool)|) (y |u_(-> tptp.set_char_o Bool)|)) (or (not (forall ((z tptp.set_char_o)) (= (ho_15487 x z) (ho_15487 y z)))) (= x y))))) (let ((_let_774 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit)|) (e tptp.set_set_Product_unit) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15063 v ii) (ite (= i ii) e (ho_15063 u ii)))))))))) (let ((_let_775 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15063 x z) (ho_15063 y z)))) (= x y))))) (let ((_let_776 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_7459 v ii) (ite (= i ii) e (ho_7459 u ii)))))))))) (let ((_let_777 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_7459 x z) (ho_7459 y z)))) (= x y))))) (let ((_let_778 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i |u_(-> tptp.product_unit tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.char)|)) (= (ho_15481 v ii) (ite (= i ii) e (ho_15481 u ii)))))))))) (let ((_let_779 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.char)|)) (= (ho_15481 x z) (ho_15481 y z)))) (= x y))))) (let ((_let_780 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_ch7814610555394875923t_unit Bool)|) (e |u_(-> tptp.set_ch7814610555394875923t_unit Bool)|) (i |u_(-> tptp.char tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_ch7814610555394875923t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_unit)|)) (= (ho_15478 v ii) (ite (= i ii) e (ho_15478 u ii)))))))))) (let ((_let_781 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_ch7814610555394875923t_unit Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_ch7814610555394875923t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_unit)|)) (= (ho_15478 x z) (ho_15478 y z)))) (= x y))))) (let ((_let_782 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o_nat Bool)|) (e |u_(-> tptp.set_o_nat Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_15472 v ii) (ite (= i ii) e (ho_15472 u ii)))))))))) (let ((_let_783 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_15472 x z) (ho_15472 y z)))) (= x y))))) (let ((_let_784 (forall ((u |u_(-> tptp.set_o_nat Bool)|) (e Bool) (i tptp.set_o_nat)) (not (forall ((v |u_(-> tptp.set_o_nat Bool)|)) (not (forall ((ii tptp.set_o_nat)) (= (ho_15473 v ii) (ite (= i ii) e (ho_15473 u ii)))))))))) (let ((_let_785 (forall ((x |u_(-> tptp.set_o_nat Bool)|) (y |u_(-> tptp.set_o_nat Bool)|)) (or (not (forall ((z tptp.set_o_nat)) (= (ho_15473 x z) (ho_15473 y z)))) (= x y))))) (let ((_let_786 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ra2113409117844698048at_nat)|) (e tptp.set_ra2113409117844698048at_nat) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ra2113409117844698048at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13602 v ii) (ite (= i ii) e (ho_13602 u ii)))))))))) (let ((_let_787 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ra2113409117844698048at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ra2113409117844698048at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13602 x z) (ho_13602 y z)))) (= x y))))) (let ((_let_788 (forall ((u |u_(-> tptp.set_nat tptp.set_o_nat)|) (e tptp.set_o_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_o_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15470 v ii) (ite (= i ii) e (ho_15470 u ii)))))))))) (let ((_let_789 (forall ((x |u_(-> tptp.set_nat tptp.set_o_nat)|) (y |u_(-> tptp.set_nat tptp.set_o_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15470 x z) (ho_15470 y z)))) (= x y))))) (let ((_let_790 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_10482 v ii) (ite (= i ii) e (ho_10482 u ii)))))))))) (let ((_let_791 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_10482 x z) (ho_10482 y z)))) (= x y))))) (let ((_let_792 (forall ((u |u_(-> tptp.set_o tptp.set_o tptp.set_o_o)|) (e |u_(-> tptp.set_o tptp.set_o_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_o tptp.set_o_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_15463 v ii) (ite (= i ii) e (ho_15463 u ii)))))))))) (let ((_let_793 (forall ((x |u_(-> tptp.set_o tptp.set_o tptp.set_o_o)|) (y |u_(-> tptp.set_o tptp.set_o tptp.set_o_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15463 x z) (ho_15463 y z)))) (= x y))))) (let ((_let_794 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o_Product_unit Bool)|) (e |u_(-> tptp.set_o_Product_unit Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o_Product_unit Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_15460 v ii) (ite (= i ii) e (ho_15460 u ii)))))))))) (let ((_let_795 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o_Product_unit Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o_Product_unit Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_15460 x z) (ho_15460 y z)))) (= x y))))) (let ((_let_796 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_o_Product_unit)|) (e tptp.set_o_Product_unit) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_o_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15458 v ii) (ite (= i ii) e (ho_15458 u ii)))))))))) (let ((_let_797 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_o_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.set_o_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15458 x z) (ho_15458 y z)))) (= x y))))) (let ((_let_798 (forall ((u |u_(-> tptp.produc349518998152878311at_nat tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|) (e |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|) (i tptp.produc349518998152878311at_nat)) (not (forall ((v |u_(-> tptp.produc349518998152878311at_nat tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|)) (not (forall ((ii tptp.produc349518998152878311at_nat)) (= (ho_15446 v ii) (ite (= i ii) e (ho_15446 u ii)))))))))) (let ((_let_799 (forall ((x |u_(-> tptp.produc349518998152878311at_nat tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|) (y |u_(-> tptp.produc349518998152878311at_nat tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|)) (or (not (forall ((z tptp.produc349518998152878311at_nat)) (= (ho_15446 x z) (ho_15446 y z)))) (= x y))))) (let ((_let_800 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|) (e |u_(-> tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_15443 v ii) (ite (= i ii) e (ho_15443 u ii)))))))))) (let ((_let_801 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_15443 x z) (ho_15443 y z)))) (= x y))))) (let ((_let_802 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|) (e tptp.produc349518998152878311at_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_15444 v ii) (ite (= i ii) e (ho_15444 u ii)))))))))) (let ((_let_803 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.produc349518998152878311at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_15444 x z) (ho_15444 y z)))) (= x y))))) (let ((_let_804 (forall ((u |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|) (e tptp.set_Pr553994874890374343at_nat) (i tptp.set_Pr553994874890374343at_nat)) (not (forall ((v |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|)) (not (forall ((ii tptp.set_Pr553994874890374343at_nat)) (= (ho_15447 v ii) (ite (= i ii) e (ho_15447 u ii)))))))))) (let ((_let_805 (forall ((x |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|) (y |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr553994874890374343at_nat)|)) (or (not (forall ((z tptp.set_Pr553994874890374343at_nat)) (= (ho_15447 x z) (ho_15447 y z)))) (= x y))))) (let ((_let_806 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> tptp.rat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_16165 v ii) (ite (= i ii) e (ho_16165 u ii)))))))))) (let ((_let_807 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_16165 x z) (ho_16165 y z)))) (= x y))))) (let ((_let_808 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num Bool)|) (e |u_(-> tptp.set_num Bool)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_15432 v ii) (ite (= i ii) e (ho_15432 u ii)))))))))) (let ((_let_809 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_15432 x z) (ho_15432 y z)))) (= x y))))) (let ((_let_810 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_15429 v ii) (ite (= i ii) e (ho_15429 u ii)))))))))) (let ((_let_811 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_15429 x z) (ho_15429 y z)))) (= x y))))) (let ((_let_812 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc600557818389255820it_nat)_ tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|) (i |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc600557818389255820it_nat)_ tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|)) (= (ho_15424 v ii) (ite (= i ii) e (ho_15424 u ii)))))))))) (let ((_let_813 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc600557818389255820it_nat)_ tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc600557818389255820it_nat)_ tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|)) (= (ho_15424 x z) (ho_15424 y z)))) (= x y))))) (let ((_let_814 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15421 v ii) (ite (= i ii) e (ho_15421 u ii)))))))))) (let ((_let_815 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15421 x z) (ho_15421 y z)))) (= x y))))) (let ((_let_816 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10521 v ii) (ite (= i ii) e (ho_10521 u ii)))))))))) (let ((_let_817 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10521 x z) (ho_10521 y z)))) (= x y))))) (let ((_let_818 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc6315701296850634900it_rat)_ tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|) (e |u_(-> tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|) (i |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc6315701296850634900it_rat)_ tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|)) (= (ho_15418 v ii) (ite (= i ii) e (ho_15418 u ii)))))))))) (let ((_let_819 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc6315701296850634900it_rat)_ tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc6315701296850634900it_rat)_ tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|)) (= (ho_15418 x z) (ho_15418 y z)))) (= x y))))) (let ((_let_820 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|) (e tptp.set_Pr4105333604307423337at_rat) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14458 v ii) (ite (= i ii) e (ho_14458 u ii)))))))))) (let ((_let_821 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14458 x z) (ho_14458 y z)))) (= x y))))) (let ((_let_822 (forall ((u |u_(-> tptp.set_char _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|) (e |u_(-> _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8871 v ii) (ite (= i ii) e (ho_8871 u ii)))))))))) (let ((_let_823 (forall ((x |u_(-> tptp.set_char _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|) (y |u_(-> tptp.set_char _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8871 x z) (ho_8871 y z)))) (= x y))))) (let ((_let_824 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|) (i |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (= (ho_15412 v ii) (ite (= i ii) e (ho_15412 u ii)))))))))) (let ((_let_825 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_nat)_ tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (= (ho_15412 x z) (ho_15412 y z)))) (= x y))))) (let ((_let_826 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_rat)_ tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|) (e |u_(-> tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|) (i |u_(-> tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_rat)_ tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_rat)|)) (= (ho_15409 v ii) (ite (= i ii) e (ho_15409 u ii)))))))))) (let ((_let_827 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_rat)_ tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_rat)_ tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_rat)|)) (= (ho_15409 x z) (ho_15409 y z)))) (= x y))))) (let ((_let_828 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|) (e tptp.set_Pr6084635751276098665at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15404 v ii) (ite (= i ii) e (ho_15404 u ii)))))))))) (let ((_let_829 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15404 x z) (ho_15404 y z)))) (= x y))))) (let ((_let_830 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|) (e |u_(-> _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15400 v ii) (ite (= i ii) e (ho_15400 u ii)))))))))) (let ((_let_831 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|) (y |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15400 x z) (ho_15400 y z)))) (= x y))))) (let ((_let_832 (forall ((u |u_(-> _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|) (e tptp.set_Pr8928021450653196913at_rat) (i |u_(-> tptp.rat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.set_rat)|)) (= (ho_15401 v ii) (ite (= i ii) e (ho_15401 u ii)))))))))) (let ((_let_833 (forall ((x |u_(-> _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.set_rat)_ tptp.set_Pr8928021450653196913at_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.set_rat)|)) (= (ho_15401 x z) (ho_15401 y z)))) (= x y))))) (let ((_let_834 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_rat)_ tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|) (e |u_(-> tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|) (i |u_(-> tptp.nat tptp.product_prod_rat_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_rat)_ tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_rat_rat)|)) (= (ho_15397 v ii) (ite (= i ii) e (ho_15397 u ii)))))))))) (let ((_let_835 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_rat)_ tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_rat)_ tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_rat_rat)|)) (= (ho_15397 x z) (ho_15397 y z)))) (= x y))))) (let ((_let_836 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|) (e tptp.set_Pr8928021450653196913at_rat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15398 v ii) (ite (= i ii) e (ho_15398 u ii)))))))))) (let ((_let_837 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|) (y |u_(-> tptp.set_nat tptp.set_Pr8928021450653196913at_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15398 x z) (ho_15398 y z)))) (= x y))))) (let ((_let_838 (forall ((u |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4524 v ii) (ite (= i ii) e (ho_4524 u ii)))))))))) (let ((_let_839 (forall ((x |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4524 x z) (ho_4524 y z)))) (= x y))))) (let ((_let_840 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (e |u_(-> tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (i |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_15394 v ii) (ite (= i ii) e (ho_15394 u ii)))))))))) (let ((_let_841 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_15394 x z) (ho_15394 y z)))) (= x y))))) (let ((_let_842 (forall ((u |u_(-> tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.nat)) (= (ho_15395 v ii) (ite (= i ii) e (ho_15395 u ii)))))))))) (let ((_let_843 (forall ((x |u_(-> tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (y |u_(-> tptp.nat tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.nat)) (= (ho_15395 x z) (ho_15395 y z)))) (= x y))))) (let ((_let_844 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|) (e |u_(-> Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_15391 v ii) (ite (= i ii) e (ho_15391 u ii)))))))))) (let ((_let_845 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_15391 x z) (ho_15391 y z)))) (= x y))))) (let ((_let_846 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (e |u_(-> tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_15383 v ii) (ite (= i ii) e (ho_15383 u ii)))))))))) (let ((_let_847 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_15383 x z) (ho_15383 y z)))) (= x y))))) (let ((_let_848 (forall ((u |u_(-> _u_(-> Bool tptp.code_integer)_ tptp.set_o tptp.set_Code_integer)|) (e |u_(-> tptp.set_o tptp.set_Code_integer)|) (i |u_(-> Bool tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.code_integer)_ tptp.set_o tptp.set_Code_integer)|)) (not (forall ((ii |u_(-> Bool tptp.code_integer)|)) (= (ho_15367 v ii) (ite (= i ii) e (ho_15367 u ii)))))))))) (let ((_let_849 (forall ((x |u_(-> _u_(-> Bool tptp.code_integer)_ tptp.set_o tptp.set_Code_integer)|) (y |u_(-> _u_(-> Bool tptp.code_integer)_ tptp.set_o tptp.set_Code_integer)|)) (or (not (forall ((z |u_(-> Bool tptp.code_integer)|)) (= (ho_15367 x z) (ho_15367 y z)))) (= x y))))) (let ((_let_850 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10159 v ii) (ite (= i ii) e (ho_10159 u ii)))))))))) (let ((_let_851 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10159 x z) (ho_10159 y z)))) (= x y))))) (let ((_let_852 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_15361 v ii) (ite (= i ii) e (ho_15361 u ii)))))))))) (let ((_let_853 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_15361 x z) (ho_15361 y z)))) (= x y))))) (let ((_let_854 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_15357 v ii) (ite (= i ii) e (ho_15357 u ii)))))))))) (let ((_let_855 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_15357 x z) (ho_15357 y z)))) (= x y))))) (let ((_let_856 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int Bool)|) (e |u_(-> tptp.set_int_int Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_15345 v ii) (ite (= i ii) e (ho_15345 u ii)))))))))) (let ((_let_857 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_15345 x z) (ho_15345 y z)))) (= x y))))) (let ((_let_858 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10606 v ii) (ite (= i ii) e (ho_10606 u ii)))))))))) (let ((_let_859 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10606 x z) (ho_10606 y z)))) (= x y))))) (let ((_let_860 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ tptp.set_nat_nat Bool)|) (e |u_(-> tptp.set_nat_nat Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ tptp.set_nat_nat Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_15342 v ii) (ite (= i ii) e (ho_15342 u ii)))))))))) (let ((_let_861 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ tptp.set_nat_nat Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ tptp.set_nat_nat Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_15342 x z) (ho_15342 y z)))) (= x y))))) (let ((_let_862 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ tptp.set_int_nat Bool)|) (e |u_(-> tptp.set_int_nat Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ tptp.set_int_nat Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_15338 v ii) (ite (= i ii) e (ho_15338 u ii)))))))))) (let ((_let_863 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ tptp.set_int_nat Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ tptp.set_int_nat Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_15338 x z) (ho_15338 y z)))) (= x y))))) (let ((_let_864 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co726186806682698383nteger Bool)|) (e |u_(-> tptp.set_Co726186806682698383nteger Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co726186806682698383nteger Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15336 v ii) (ite (= i ii) e (ho_15336 u ii)))))))))) (let ((_let_865 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co726186806682698383nteger Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co726186806682698383nteger Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15336 x z) (ho_15336 y z)))) (= x y))))) (let ((_let_866 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co4375521073081744395nteger Bool)|) (e |u_(-> tptp.set_Co4375521073081744395nteger Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co4375521073081744395nteger Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15333 v ii) (ite (= i ii) e (ho_15333 u ii)))))))))) (let ((_let_867 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co4375521073081744395nteger Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Co4375521073081744395nteger Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15333 x z) (ho_15333 y z)))) (= x y))))) (let ((_let_868 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10061 v ii) (ite (= i ii) e (ho_10061 u ii)))))))))) (let ((_let_869 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10061 x z) (ho_10061 y z)))) (= x y))))) (let ((_let_870 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ tptp.set_nat_o Bool)|) (e |u_(-> tptp.set_nat_o Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ tptp.set_nat_o Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_15330 v ii) (ite (= i ii) e (ho_15330 u ii)))))))))) (let ((_let_871 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ tptp.set_nat_o Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ tptp.set_nat_o Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_15330 x z) (ho_15330 y z)))) (= x y))))) (let ((_let_872 (forall ((u |u_(-> tptp.set_nat_o Bool)|) (e Bool) (i tptp.set_nat_o)) (not (forall ((v |u_(-> tptp.set_nat_o Bool)|)) (not (forall ((ii tptp.set_nat_o)) (= (ho_15331 v ii) (ite (= i ii) e (ho_15331 u ii)))))))))) (let ((_let_873 (forall ((x |u_(-> tptp.set_nat_o Bool)|) (y |u_(-> tptp.set_nat_o Bool)|)) (or (not (forall ((z tptp.set_nat_o)) (= (ho_15331 x z) (ho_15331 y z)))) (= x y))))) (let ((_let_874 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_15328 v ii) (ite (= i ii) e (ho_15328 u ii)))))))))) (let ((_let_875 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_15328 x z) (ho_15328 y z)))) (= x y))))) (let ((_let_876 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_num)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_num)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_num)|)) (= (ho_15326 v ii) (ite (= i ii) e (ho_15326 u ii)))))))))) (let ((_let_877 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_num)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_num)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_num)|)) (= (ho_15326 x z) (ho_15326 y z)))) (= x y))))) (let ((_let_878 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_se7855581050983116737at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_se7855581050983116737at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_15324 v ii) (ite (= i ii) e (ho_15324 u ii)))))))))) (let ((_let_879 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_se7855581050983116737at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_se7855581050983116737at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_15324 x z) (ho_15324 y z)))) (= x y))))) (let ((_let_880 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_se5479201105039950375at_nat Bool)|) (e |u_(-> tptp.set_se5479201105039950375at_nat Bool)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_se5479201105039950375at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_15322 v ii) (ite (= i ii) e (ho_15322 u ii)))))))))) (let ((_let_881 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_se5479201105039950375at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_se5479201105039950375at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_15322 x z) (ho_15322 y z)))) (= x y))))) (let ((_let_882 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|) (e |u_(-> tptp.set_Code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_15318 v ii) (ite (= i ii) e (ho_15318 u ii)))))))))) (let ((_let_883 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_15318 x z) (ho_15318 y z)))) (= x y))))) (let ((_let_884 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8243 v ii) (ite (= i ii) e (ho_8243 u ii)))))))))) (let ((_let_885 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8243 x z) (ho_8243 y z)))) (= x y))))) (let ((_let_886 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_15316 v ii) (ite (= i ii) e (ho_15316 u ii)))))))))) (let ((_let_887 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_15316 x z) (ho_15316 y z)))) (= x y))))) (let ((_let_888 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat Bool)|) (e |u_(-> tptp.set_list_nat Bool)|) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_15313 v ii) (ite (= i ii) e (ho_15313 u ii)))))))))) (let ((_let_889 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_15313 x z) (ho_15313 y z)))) (= x y))))) (let ((_let_890 (forall ((u |u_(-> tptp.set_list_nat Bool)|) (e Bool) (i tptp.set_list_nat)) (not (forall ((v |u_(-> tptp.set_list_nat Bool)|)) (not (forall ((ii tptp.set_list_nat)) (= (ho_15314 v ii) (ite (= i ii) e (ho_15314 u ii)))))))))) (let ((_let_891 (forall ((x |u_(-> tptp.set_list_nat Bool)|) (y |u_(-> tptp.set_list_nat Bool)|)) (or (not (forall ((z tptp.set_list_nat)) (= (ho_15314 x z) (ho_15314 y z)))) (= x y))))) (let ((_let_892 (forall ((u |u_(-> tptp.set_list_nat tptp.set_list_nat tptp.set_list_nat)|) (e |u_(-> tptp.set_list_nat tptp.set_list_nat)|) (i tptp.set_list_nat)) (not (forall ((v |u_(-> tptp.set_list_nat tptp.set_list_nat tptp.set_list_nat)|)) (not (forall ((ii tptp.set_list_nat)) (= (ho_15311 v ii) (ite (= i ii) e (ho_15311 u ii)))))))))) (let ((_let_893 (forall ((x |u_(-> tptp.set_list_nat tptp.set_list_nat tptp.set_list_nat)|) (y |u_(-> tptp.set_list_nat tptp.set_list_nat tptp.set_list_nat)|)) (or (not (forall ((z tptp.set_list_nat)) (= (ho_15311 x z) (ho_15311 y z)))) (= x y))))) (let ((_let_894 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_12621 v ii) (ite (= i ii) e (ho_12621 u ii)))))))))) (let ((_let_895 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_12621 x z) (ho_12621 y z)))) (= x y))))) (let ((_let_896 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_15306 v ii) (ite (= i ii) e (ho_15306 u ii)))))))))) (let ((_let_897 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_15306 x z) (ho_15306 y z)))) (= x y))))) (let ((_let_898 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat Bool)|) (e |u_(-> tptp.set_set_nat Bool)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15301 v ii) (ite (= i ii) e (ho_15301 u ii)))))))))) (let ((_let_899 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat Bool)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15301 x z) (ho_15301 y z)))) (= x y))))) (let ((_let_900 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat Bool)|) (e |u_(-> tptp.set_set_nat Bool)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15299 v ii) (ite (= i ii) e (ho_15299 u ii)))))))))) (let ((_let_901 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat Bool)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15299 x z) (ho_15299 y z)))) (= x y))))) (let ((_let_902 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int Bool)|) (e |u_(-> tptp.set_set_int Bool)|) (i |u_(-> tptp.set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int Bool)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_15295 v ii) (ite (= i ii) e (ho_15295 u ii)))))))))) (let ((_let_903 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int Bool)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_15295 x z) (ho_15295 y z)))) (= x y))))) (let ((_let_904 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (= (ho_15291 v ii) (ite (= i ii) e (ho_15291 u ii)))))))))) (let ((_let_905 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (= (ho_15291 x z) (ho_15291 y z)))) (= x y))))) (let ((_let_906 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (= (ho_15285 v ii) (ite (= i ii) e (ho_15285 u ii)))))))))) (let ((_let_907 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (= (ho_15285 x z) (ho_15285 y z)))) (= x y))))) (let ((_let_908 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (= (ho_15283 v ii) (ite (= i ii) e (ho_15283 u ii)))))))))) (let ((_let_909 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)_ tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (= (ho_15283 x z) (ho_15283 y z)))) (= x y))))) (let ((_let_910 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (= (ho_15281 v ii) (ite (= i ii) e (ho_15281 u ii)))))))))) (let ((_let_911 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (= (ho_15281 x z) (ho_15281 y z)))) (= x y))))) (let ((_let_912 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|) (e tptp.nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_15276 v ii) (ite (= i ii) e (ho_15276 u ii)))))))))) (let ((_let_913 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_15276 x z) (ho_15276 y z)))) (= x y))))) (let ((_let_914 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_o)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_15275 v ii) (ite (= i ii) e (ho_15275 u ii)))))))))) (let ((_let_915 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_o)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_15275 x z) (ho_15275 y z)))) (= x y))))) (let ((_let_916 (forall ((u |u_(-> tptp.int tptp.ref_a Bool)|) (e |u_(-> tptp.ref_a Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.ref_a Bool)|)) (not (forall ((ii tptp.int)) (= (ho_14106 v ii) (ite (= i ii) e (ho_14106 u ii)))))))))) (let ((_let_917 (forall ((x |u_(-> tptp.int tptp.ref_a Bool)|) (y |u_(-> tptp.int tptp.ref_a Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_14106 x z) (ho_14106 y z)))) (= x y))))) (let ((_let_918 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_6067 v ii) (ite (= i ii) e (ho_6067 u ii)))))))))) (let ((_let_919 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_6067 x z) (ho_6067 y z)))) (= x y))))) (let ((_let_920 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (= (ho_15272 v ii) (ite (= i ii) e (ho_15272 u ii)))))))))) (let ((_let_921 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (= (ho_15272 x z) (ho_15272 y z)))) (= x y))))) (let ((_let_922 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_15270 v ii) (ite (= i ii) e (ho_15270 u ii)))))))))) (let ((_let_923 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_15270 x z) (ho_15270 y z)))) (= x y))))) (let ((_let_924 (forall ((u |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a Bool)|)) (= (ho_16164 v ii) (ite (= i ii) e (ho_16164 u ii)))))))))) (let ((_let_925 (forall ((x |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a Bool)|)) (= (ho_16164 x z) (ho_16164 y z)))) (= x y))))) (let ((_let_926 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5290 v ii) (ite (= i ii) e (ho_5290 u ii)))))))))) (let ((_let_927 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5290 x z) (ho_5290 y z)))) (= x y))))) (let ((_let_928 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15259 v ii) (ite (= i ii) e (ho_15259 u ii)))))))))) (let ((_let_929 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15259 x z) (ho_15259 y z)))) (= x y))))) (let ((_let_930 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_15257 v ii) (ite (= i ii) e (ho_15257 u ii)))))))))) (let ((_let_931 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_15257 x z) (ho_15257 y z)))) (= x y))))) (let ((_let_932 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15244 v ii) (ite (= i ii) e (ho_15244 u ii)))))))))) (let ((_let_933 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15244 x z) (ho_15244 y z)))) (= x y))))) (let ((_let_934 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_15242 v ii) (ite (= i ii) e (ho_15242 u ii)))))))))) (let ((_let_935 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_15242 x z) (ho_15242 y z)))) (= x y))))) (let ((_let_936 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4811707699266497531nteger Bool)|) (e |u_(-> tptp.set_Pr4811707699266497531nteger Bool)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4811707699266497531nteger Bool)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15232 v ii) (ite (= i ii) e (ho_15232 u ii)))))))))) (let ((_let_937 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4811707699266497531nteger Bool)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4811707699266497531nteger Bool)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15232 x z) (ho_15232 y z)))) (= x y))))) (let ((_let_938 (forall ((u |u_(-> tptp.set_Pr4811707699266497531nteger Bool)|) (e Bool) (i tptp.set_Pr4811707699266497531nteger)) (not (forall ((v |u_(-> tptp.set_Pr4811707699266497531nteger Bool)|)) (not (forall ((ii tptp.set_Pr4811707699266497531nteger)) (= (ho_15233 v ii) (ite (= i ii) e (ho_15233 u ii)))))))))) (let ((_let_939 (forall ((x |u_(-> tptp.set_Pr4811707699266497531nteger Bool)|) (y |u_(-> tptp.set_Pr4811707699266497531nteger Bool)|)) (or (not (forall ((z tptp.set_Pr4811707699266497531nteger)) (= (ho_15233 x z) (ho_15233 y z)))) (= x y))))) (let ((_let_940 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_15221 v ii) (ite (= i ii) e (ho_15221 u ii)))))))))) (let ((_let_941 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_15221 x z) (ho_15221 y z)))) (= x y))))) (let ((_let_942 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_15219 v ii) (ite (= i ii) e (ho_15219 u ii)))))))))) (let ((_let_943 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.produc1319942482725812455at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_15219 x z) (ho_15219 y z)))) (= x y))))) (let ((_let_944 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_15217 v ii) (ite (= i ii) e (ho_15217 u ii)))))))))) (let ((_let_945 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_15217 x z) (ho_15217 y z)))) (= x y))))) (let ((_let_946 (forall ((u |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (e |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (i tptp.set_Product_prod_o_o)) (not (forall ((v |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|)) (not (forall ((ii tptp.set_Product_prod_o_o)) (= (ho_15213 v ii) (ite (= i ii) e (ho_15213 u ii)))))))))) (let ((_let_947 (forall ((x |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (y |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|)) (or (not (forall ((z tptp.set_Product_prod_o_o)) (= (ho_15213 x z) (ho_15213 y z)))) (= x y))))) (let ((_let_948 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_8439 v ii) (ite (= i ii) e (ho_8439 u ii)))))))))) (let ((_let_949 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_8439 x z) (ho_8439 y z)))) (= x y))))) (let ((_let_950 (forall ((u |u_(-> tptp.produc3788275437394581276t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (e |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (i tptp.produc3788275437394581276t_unit)) (not (forall ((v |u_(-> tptp.produc3788275437394581276t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|)) (not (forall ((ii tptp.produc3788275437394581276t_unit)) (= (ho_15211 v ii) (ite (= i ii) e (ho_15211 u ii)))))))))) (let ((_let_951 (forall ((x |u_(-> tptp.produc3788275437394581276t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (y |u_(-> tptp.produc3788275437394581276t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|)) (or (not (forall ((z tptp.produc3788275437394581276t_unit)) (= (ho_15211 x z) (ho_15211 y z)))) (= x y))))) (let ((_let_952 (forall ((u |u_(-> tptp.set_rat tptp.product_unit tptp.set_rat)|) (e |u_(-> tptp.product_unit tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.product_unit tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8813 v ii) (ite (= i ii) e (ho_8813 u ii)))))))))) (let ((_let_953 (forall ((x |u_(-> tptp.set_rat tptp.product_unit tptp.set_rat)|) (y |u_(-> tptp.set_rat tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8813 x z) (ho_8813 y z)))) (= x y))))) (let ((_let_954 (forall ((u |u_(-> Bool tptp.product_unit tptp.produc3788275437394581276t_unit)|) (e |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (not (forall ((ii Bool)) (= (ho_15208 v ii) (ite (= i ii) e (ho_15208 u ii)))))))))) (let ((_let_955 (forall ((x |u_(-> Bool tptp.product_unit tptp.produc3788275437394581276t_unit)|) (y |u_(-> Bool tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (or (not (forall ((z Bool)) (= (ho_15208 x z) (ho_15208 y z)))) (= x y))))) (let ((_let_956 (forall ((u |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|) (e tptp.produc3788275437394581276t_unit) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15209 v ii) (ite (= i ii) e (ho_15209 u ii)))))))))) (let ((_let_957 (forall ((x |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|) (y |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15209 x z) (ho_15209 y z)))) (= x y))))) (let ((_let_958 (forall ((u |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (i tptp.set_Pr2101469702781467981_o_nat)) (not (forall ((v |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|)) (not (forall ((ii tptp.set_Pr2101469702781467981_o_nat)) (= (ho_15200 v ii) (ite (= i ii) e (ho_15200 u ii)))))))))) (let ((_let_959 (forall ((x |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (y |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|)) (or (not (forall ((z tptp.set_Pr2101469702781467981_o_nat)) (= (ho_15200 x z) (ho_15200 y z)))) (= x y))))) (let ((_let_960 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_15693 v ii) (ite (= i ii) e (ho_15693 u ii)))))))))) (let ((_let_961 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_15693 x z) (ho_15693 y z)))) (= x y))))) (let ((_let_962 (forall ((u |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (e |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (i tptp.set_Pr5464989305201766866unit_o)) (not (forall ((v |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|)) (not (forall ((ii tptp.set_Pr5464989305201766866unit_o)) (= (ho_15192 v ii) (ite (= i ii) e (ho_15192 u ii)))))))))) (let ((_let_963 (forall ((x |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (y |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|)) (or (not (forall ((z tptp.set_Pr5464989305201766866unit_o)) (= (ho_15192 x z) (ho_15192 y z)))) (= x y))))) (let ((_let_964 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_set_nat tptp.int Bool)|) (e |u_(-> tptp.set_set_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_9225 v ii) (ite (= i ii) e (ho_9225 u ii)))))))))) (let ((_let_965 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_9225 x z) (ho_9225 y z)))) (= x y))))) (let ((_let_966 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|) (e tptp.set_ch7814610555394875923t_unit) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15476 v ii) (ite (= i ii) e (ho_15476 u ii)))))))))) (let ((_let_967 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|) (y |u_(-> tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15476 x z) (ho_15476 y z)))) (= x y))))) (let ((_let_968 (forall ((u |u_(-> tptp.produc1709102135585200056nt_nat Bool)|) (e Bool) (i tptp.produc1709102135585200056nt_nat)) (not (forall ((v |u_(-> tptp.produc1709102135585200056nt_nat Bool)|)) (not (forall ((ii tptp.produc1709102135585200056nt_nat)) (= (ho_16163 v ii) (ite (= i ii) e (ho_16163 u ii)))))))))) (let ((_let_969 (forall ((x |u_(-> tptp.produc1709102135585200056nt_nat Bool)|) (y |u_(-> tptp.produc1709102135585200056nt_nat Bool)|)) (or (not (forall ((z tptp.produc1709102135585200056nt_nat)) (= (ho_16163 x z) (ho_16163 y z)))) (= x y))))) (let ((_let_970 (forall ((u |u_(-> tptp.produc600557818389255820it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (e |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (i tptp.produc600557818389255820it_nat)) (not (forall ((v |u_(-> tptp.produc600557818389255820it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii tptp.produc600557818389255820it_nat)) (= (ho_15188 v ii) (ite (= i ii) e (ho_15188 u ii)))))))))) (let ((_let_971 (forall ((x |u_(-> tptp.produc600557818389255820it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> tptp.produc600557818389255820it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z tptp.produc600557818389255820it_nat)) (= (ho_15188 x z) (ho_15188 y z)))) (= x y))))) (let ((_let_972 (forall ((u |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (e tptp.set_Pr1763845938948868674it_nat) (i tptp.set_Pr1763845938948868674it_nat)) (not (forall ((v |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii tptp.set_Pr1763845938948868674it_nat)) (= (ho_15186 v ii) (ite (= i ii) e (ho_15186 u ii)))))))))) (let ((_let_973 (forall ((x |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z tptp.set_Pr1763845938948868674it_nat)) (= (ho_15186 x z) (ho_15186 y z)))) (= x y))))) (let ((_let_974 (forall ((u |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (i tptp.set_Pr3149072824959771635_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|)) (not (forall ((ii tptp.set_Pr3149072824959771635_nat_o)) (= (ho_15180 v ii) (ite (= i ii) e (ho_15180 u ii)))))))))) (let ((_let_975 (forall ((x |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (y |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|)) (or (not (forall ((z tptp.set_Pr3149072824959771635_nat_o)) (= (ho_15180 x z) (ho_15180 y z)))) (= x y))))) (let ((_let_976 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_13524 v ii) (ite (= i ii) e (ho_13524 u ii)))))))))) (let ((_let_977 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_13524 x z) (ho_13524 y z)))) (= x y))))) (let ((_let_978 (forall ((u |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (e tptp.set_Pr3149072824959771635_nat_o) (i tptp.set_Pr3149072824959771635_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|)) (not (forall ((ii tptp.set_Pr3149072824959771635_nat_o)) (= (ho_15181 v ii) (ite (= i ii) e (ho_15181 u ii)))))))))) (let ((_let_979 (forall ((x |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (y |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|)) (or (not (forall ((z tptp.set_Pr3149072824959771635_nat_o)) (= (ho_15181 x z) (ho_15181 y z)))) (= x y))))) (let ((_let_980 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11399 v ii) (ite (= i ii) e (ho_11399 u ii)))))))))) (let ((_let_981 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11399 x z) (ho_11399 y z)))) (= x y))))) (let ((_let_982 (forall ((u |u_(-> tptp.set_rat_Product_unit Bool)|) (e Bool) (i tptp.set_rat_Product_unit)) (not (forall ((v |u_(-> tptp.set_rat_Product_unit Bool)|)) (not (forall ((ii tptp.set_rat_Product_unit)) (= (ho_15503 v ii) (ite (= i ii) e (ho_15503 u ii)))))))))) (let ((_let_983 (forall ((x |u_(-> tptp.set_rat_Product_unit Bool)|) (y |u_(-> tptp.set_rat_Product_unit Bool)|)) (or (not (forall ((z tptp.set_rat_Product_unit)) (= (ho_15503 x z) (ho_15503 y z)))) (= x y))))) (let ((_let_984 (forall ((u |u_(-> tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7449 v ii) (ite (= i ii) e (ho_7449 u ii)))))))))) (let ((_let_985 (forall ((x |u_(-> tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7449 x z) (ho_7449 y z)))) (= x y))))) (let ((_let_986 (forall ((u |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|) (e tptp.produc526117512892780850t_unit) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15176 v ii) (ite (= i ii) e (ho_15176 u ii)))))))))) (let ((_let_987 (forall ((x |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|) (y |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15176 x z) (ho_15176 y z)))) (= x y))))) (let ((_let_988 (forall ((u |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (e tptp.set_Pr4334478416066269672t_unit) (i tptp.set_Pr4334478416066269672t_unit)) (not (forall ((v |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|)) (not (forall ((ii tptp.set_Pr4334478416066269672t_unit)) (= (ho_15173 v ii) (ite (= i ii) e (ho_15173 u ii)))))))))) (let ((_let_989 (forall ((x |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (y |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|)) (or (not (forall ((z tptp.set_Pr4334478416066269672t_unit)) (= (ho_15173 x z) (ho_15173 y z)))) (= x y))))) (let ((_let_990 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15167 v ii) (ite (= i ii) e (ho_15167 u ii)))))))))) (let ((_let_991 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15167 x z) (ho_15167 y z)))) (= x y))))) (let ((_let_992 (forall ((u |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_15159 v ii) (ite (= i ii) e (ho_15159 u ii)))))))))) (let ((_let_993 (forall ((x |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int Bool)|) (y |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15159 x z) (ho_15159 y z)))) (= x y))))) (let ((_let_994 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat Bool)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat Bool)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_15157 v ii) (ite (= i ii) e (ho_15157 u ii)))))))))) (let ((_let_995 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat Bool)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7459493094073627847at_nat Bool)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_15157 x z) (ho_15157 y z)))) (= x y))))) (let ((_let_996 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|) (e |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10293 v ii) (ite (= i ii) e (ho_10293 u ii)))))))))) (let ((_let_997 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10293 x z) (ho_10293 y z)))) (= x y))))) (let ((_let_998 (forall ((u |u_(-> tptp.set_nat tptp.set_set_nat Bool)|) (e |u_(-> tptp.set_set_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15155 v ii) (ite (= i ii) e (ho_15155 u ii)))))))))) (let ((_let_999 (forall ((x |u_(-> tptp.set_nat tptp.set_set_nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_set_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15155 x z) (ho_15155 y z)))) (= x y))))) (let ((_let_1000 (forall ((u |u_(-> tptp.set_set_o tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_set_o)) (not (forall ((v |u_(-> tptp.set_set_o tptp.set_set_o)|)) (not (forall ((ii tptp.set_set_o)) (= (ho_15153 v ii) (ite (= i ii) e (ho_15153 u ii)))))))))) (let ((_let_1001 (forall ((x |u_(-> tptp.set_set_o tptp.set_set_o)|) (y |u_(-> tptp.set_set_o tptp.set_set_o)|)) (or (not (forall ((z tptp.set_set_o)) (= (ho_15153 x z) (ho_15153 y z)))) (= x y))))) (let ((_let_1002 (forall ((u |u_(-> _u_(-> tptp.set_Product_unit tptp.set_Product_unit)_ tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (i |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Product_unit tptp.set_Product_unit)_ tptp.set_set_Product_unit tptp.set_set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|)) (= (ho_15145 v ii) (ite (= i ii) e (ho_15145 u ii)))))))))) (let ((_let_1003 (forall ((x |u_(-> _u_(-> tptp.set_Product_unit tptp.set_Product_unit)_ tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (y |u_(-> _u_(-> tptp.set_Product_unit tptp.set_Product_unit)_ tptp.set_set_Product_unit tptp.set_set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|)) (= (ho_15145 x z) (ho_15145 y z)))) (= x y))))) (let ((_let_1004 (forall ((u |u_(-> tptp.set_set_Product_unit Bool)|) (e Bool) (i tptp.set_set_Product_unit)) (not (forall ((v |u_(-> tptp.set_set_Product_unit Bool)|)) (not (forall ((ii tptp.set_set_Product_unit)) (= (ho_15143 v ii) (ite (= i ii) e (ho_15143 u ii)))))))))) (let ((_let_1005 (forall ((x |u_(-> tptp.set_set_Product_unit Bool)|) (y |u_(-> tptp.set_set_Product_unit Bool)|)) (or (not (forall ((z tptp.set_set_Product_unit)) (= (ho_15143 x z) (ho_15143 y z)))) (= x y))))) (let ((_let_1006 (forall ((u |u_(-> tptp.set_int tptp.set_set_int Bool)|) (e |u_(-> tptp.set_set_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_set_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_15140 v ii) (ite (= i ii) e (ho_15140 u ii)))))))))) (let ((_let_1007 (forall ((x |u_(-> tptp.set_int tptp.set_set_int Bool)|) (y |u_(-> tptp.set_int tptp.set_set_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15140 x z) (ho_15140 y z)))) (= x y))))) (let ((_let_1008 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Code_integer)|) (e |u_(-> tptp.set_Code_integer tptp.set_Code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_15134 v ii) (ite (= i ii) e (ho_15134 u ii)))))))))) (let ((_let_1009 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_15134 x z) (ho_15134 y z)))) (= x y))))) (let ((_let_1010 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|) (i |u_(-> tptp.set_set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15130 v ii) (ite (= i ii) e (ho_15130 u ii)))))))))) (let ((_let_1011 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15130 x z) (ho_15130 y z)))) (= x y))))) (let ((_let_1012 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|) (i |u_(-> tptp.set_set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15124 v ii) (ite (= i ii) e (ho_15124 u ii)))))))))) (let ((_let_1013 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15124 x z) (ho_15124 y z)))) (= x y))))) (let ((_let_1014 (forall ((u |u_(-> Bool tptp.produc7485711547916492274unit_o)|) (e tptp.produc7485711547916492274unit_o) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc7485711547916492274unit_o)|)) (not (forall ((ii Bool)) (= (ho_15196 v ii) (ite (= i ii) e (ho_15196 u ii)))))))))) (let ((_let_1015 (forall ((x |u_(-> Bool tptp.produc7485711547916492274unit_o)|) (y |u_(-> Bool tptp.produc7485711547916492274unit_o)|)) (or (not (forall ((z Bool)) (= (ho_15196 x z) (ho_15196 y z)))) (= x y))))) (let ((_let_1016 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|) (i |u_(-> tptp.set_int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_nat)|)) (= (ho_15121 v ii) (ite (= i ii) e (ho_15121 u ii)))))))))) (let ((_let_1017 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_nat)|)) (= (ho_15121 x z) (ho_15121 y z)))) (= x y))))) (let ((_let_1018 (forall ((u |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|) (i |u_(-> tptp.set_set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15118 v ii) (ite (= i ii) e (ho_15118 u ii)))))))))) (let ((_let_1019 (forall ((x |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15118 x z) (ho_15118 y z)))) (= x y))))) (let ((_let_1020 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|) (e |u_(-> tptp.set_set_nat tptp.set_int)|) (i |u_(-> tptp.set_set_nat tptp.set_set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_set_int)|)) (= (ho_15119 v ii) (ite (= i ii) e (ho_15119 u ii)))))))))) (let ((_let_1021 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_int)_ tptp.set_set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_set_int)|)) (= (ho_15119 x z) (ho_15119 y z)))) (= x y))))) (let ((_let_1022 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|) (e |u_(-> tptp.set_set_nat tptp.set_rat)|) (i |u_(-> tptp.set_set_nat tptp.set_set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_set_rat)|)) (= (ho_15113 v ii) (ite (= i ii) e (ho_15113 u ii)))))))))) (let ((_let_1023 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_set_rat)|)) (= (ho_15113 x z) (ho_15113 y z)))) (= x y))))) (let ((_let_1024 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14020 v ii) (ite (= i ii) e (ho_14020 u ii)))))))))) (let ((_let_1025 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14020 x z) (ho_14020 y z)))) (= x y))))) (let ((_let_1026 (forall ((u |u_(-> tptp.set_int tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_int)) (= (ho_15101 v ii) (ite (= i ii) e (ho_15101 u ii)))))))))) (let ((_let_1027 (forall ((x |u_(-> tptp.set_int tptp.set_Product_unit)|) (y |u_(-> tptp.set_int tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15101 x z) (ho_15101 y z)))) (= x y))))) (let ((_let_1028 (forall ((u |u_(-> tptp.product_unit tptp.product_unit Bool)|) (e |u_(-> tptp.product_unit Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.product_unit Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15094 v ii) (ite (= i ii) e (ho_15094 u ii)))))))))) (let ((_let_1029 (forall ((x |u_(-> tptp.product_unit tptp.product_unit Bool)|) (y |u_(-> tptp.product_unit tptp.product_unit Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15094 x z) (ho_15094 y z)))) (= x y))))) (let ((_let_1030 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (= (ho_15091 v ii) (ite (= i ii) e (ho_15091 u ii)))))))))) (let ((_let_1031 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (= (ho_15091 x z) (ho_15091 y z)))) (= x y))))) (let ((_let_1032 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|) (e tptp.set_set_Product_unit) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_15092 v ii) (ite (= i ii) e (ho_15092 u ii)))))))))) (let ((_let_1033 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_15092 x z) (ho_15092 y z)))) (= x y))))) (let ((_let_1034 (forall ((u |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (e |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (i tptp.product_prod_o_o)) (not (forall ((v |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|)) (not (forall ((ii tptp.product_prod_o_o)) (= (ho_15084 v ii) (ite (= i ii) e (ho_15084 u ii)))))))))) (let ((_let_1035 (forall ((x |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (y |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|)) (or (not (forall ((z tptp.product_prod_o_o)) (= (ho_15084 x z) (ho_15084 y z)))) (= x y))))) (let ((_let_1036 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (e tptp.set_Pr5564308138774400199at_nat) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_15082 v ii) (ite (= i ii) e (ho_15082 u ii)))))))))) (let ((_let_1037 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_15082 x z) (ho_15082 y z)))) (= x y))))) (let ((_let_1038 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit Bool)|) (e |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15079 v ii) (ite (= i ii) e (ho_15079 u ii)))))))))) (let ((_let_1039 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit Bool)|) (y |u_(-> tptp.set_Product_unit tptp.set_Pr5094982260447487303t_unit Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15079 x z) (ho_15079 y z)))) (= x y))))) (let ((_let_1040 (forall ((u |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (e |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (i tptp.produc8459935480633519975t_unit)) (not (forall ((v |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|)) (not (forall ((ii tptp.produc8459935480633519975t_unit)) (= (ho_15076 v ii) (ite (= i ii) e (ho_15076 u ii)))))))))) (let ((_let_1041 (forall ((x |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (y |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|)) (or (not (forall ((z tptp.produc8459935480633519975t_unit)) (= (ho_15076 x z) (ho_15076 y z)))) (= x y))))) (let ((_let_1042 (forall ((u |u_(-> tptp.product_unit tptp.product_unit tptp.produc8459935480633519975t_unit)|) (e |u_(-> tptp.product_unit tptp.produc8459935480633519975t_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.product_unit tptp.produc8459935480633519975t_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15073 v ii) (ite (= i ii) e (ho_15073 u ii)))))))))) (let ((_let_1043 (forall ((x |u_(-> tptp.product_unit tptp.product_unit tptp.produc8459935480633519975t_unit)|) (y |u_(-> tptp.product_unit tptp.product_unit tptp.produc8459935480633519975t_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15073 x z) (ho_15073 y z)))) (= x y))))) (let ((_let_1044 (forall ((u |u_(-> tptp.product_unit tptp.produc8459935480633519975t_unit)|) (e tptp.produc8459935480633519975t_unit) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.produc8459935480633519975t_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15074 v ii) (ite (= i ii) e (ho_15074 u ii)))))))))) (let ((_let_1045 (forall ((x |u_(-> tptp.product_unit tptp.produc8459935480633519975t_unit)|) (y |u_(-> tptp.product_unit tptp.produc8459935480633519975t_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15074 x z) (ho_15074 y z)))) (= x y))))) (let ((_let_1046 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_nat tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_nat tptp.set_set_Product_unit)|) (i |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_nat tptp.set_set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_15070 v ii) (ite (= i ii) e (ho_15070 u ii)))))))))) (let ((_let_1047 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_nat tptp.set_set_Product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_nat tptp.set_set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_15070 x z) (ho_15070 y z)))) (= x y))))) (let ((_let_1048 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|) (e tptp.set_Pr7995236796853374141at_int) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14466 v ii) (ite (= i ii) e (ho_14466 u ii)))))))))) (let ((_let_1049 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14466 x z) (ho_14466 y z)))) (= x y))))) (let ((_let_1050 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_o tptp.set_set_Product_unit)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.set_set_Product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_15067 v ii) (ite (= i ii) e (ho_15067 u ii)))))))))) (let ((_let_1051 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.set_set_Product_unit)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.set_set_Product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_15067 x z) (ho_15067 y z)))) (= x y))))) (let ((_let_1052 (forall ((u |u_(-> tptp.set_set_Product_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_set_Product_unit)) (not (forall ((v |u_(-> tptp.set_set_Product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_set_Product_unit)) (= (ho_15065 v ii) (ite (= i ii) e (ho_15065 u ii)))))))))) (let ((_let_1053 (forall ((x |u_(-> tptp.set_set_Product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_set_Product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_set_Product_unit)) (= (ho_15065 x z) (ho_15065 y z)))) (= x y))))) (let ((_let_1054 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.set_set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_15062 v ii) (ite (= i ii) e (ho_15062 u ii)))))))))) (let ((_let_1055 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.set_set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.set_set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_15062 x z) (ho_15062 y z)))) (= x y))))) (let ((_let_1056 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|) (e tptp.set_nat_nat_o) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_6257 v ii) (ite (= i ii) e (ho_6257 u ii)))))))))) (let ((_let_1057 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_6257 x z) (ho_6257 y z)))) (= x y))))) (let ((_let_1058 (forall ((u |u_(-> tptp.set_o tptp.set_Product_prod_o_o Bool)|) (e |u_(-> tptp.set_Product_prod_o_o Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Product_prod_o_o Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_15059 v ii) (ite (= i ii) e (ho_15059 u ii)))))))))) (let ((_let_1059 (forall ((x |u_(-> tptp.set_o tptp.set_Product_prod_o_o Bool)|) (y |u_(-> tptp.set_o tptp.set_Product_prod_o_o Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15059 x z) (ho_15059 y z)))) (= x y))))) (let ((_let_1060 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat Bool)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_15048 v ii) (ite (= i ii) e (ho_15048 u ii)))))))))) (let ((_let_1061 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_15048 x z) (ho_15048 y z)))) (= x y))))) (let ((_let_1062 (forall ((u |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_o tptp.set_set_rat)|) (e |u_(-> tptp.set_o tptp.set_set_rat)|) (i |u_(-> Bool tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_o tptp.set_set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.set_rat)|)) (= (ho_15028 v ii) (ite (= i ii) e (ho_15028 u ii)))))))))) (let ((_let_1063 (forall ((x |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_o tptp.set_set_rat)|) (y |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_o tptp.set_set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_rat)|)) (= (ho_15028 x z) (ho_15028 y z)))) (= x y))))) (let ((_let_1064 (forall ((u |u_(-> tptp.set_o tptp.set_set_rat)|) (e tptp.set_set_rat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_rat)|)) (not (forall ((ii tptp.set_o)) (= (ho_15029 v ii) (ite (= i ii) e (ho_15029 u ii)))))))))) (let ((_let_1065 (forall ((x |u_(-> tptp.set_o tptp.set_set_rat)|) (y |u_(-> tptp.set_o tptp.set_set_rat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15029 x z) (ho_15029 y z)))) (= x y))))) (let ((_let_1066 (forall ((u |u_(-> tptp.set_set_rat tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_set_rat)) (not (forall ((v |u_(-> tptp.set_set_rat tptp.set_rat)|)) (not (forall ((ii tptp.set_set_rat)) (= (ho_15026 v ii) (ite (= i ii) e (ho_15026 u ii)))))))))) (let ((_let_1067 (forall ((x |u_(-> tptp.set_set_rat tptp.set_rat)|) (y |u_(-> tptp.set_set_rat tptp.set_rat)|)) (or (not (forall ((z tptp.set_set_rat)) (= (ho_15026 x z) (ho_15026 y z)))) (= x y))))) (let ((_let_1068 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_rat)|) (e tptp.set_set_rat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_rat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15024 v ii) (ite (= i ii) e (ho_15024 u ii)))))))))) (let ((_let_1069 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_rat)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_rat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15024 x z) (ho_15024 y z)))) (= x y))))) (let ((_let_1070 (forall ((u |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_o tptp.set_set_char)|) (e |u_(-> tptp.set_o tptp.set_set_char)|) (i |u_(-> Bool tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_o tptp.set_set_char)|)) (not (forall ((ii |u_(-> Bool tptp.set_char)|)) (= (ho_15017 v ii) (ite (= i ii) e (ho_15017 u ii)))))))))) (let ((_let_1071 (forall ((x |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_o tptp.set_set_char)|) (y |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_o tptp.set_set_char)|)) (or (not (forall ((z |u_(-> Bool tptp.set_char)|)) (= (ho_15017 x z) (ho_15017 y z)))) (= x y))))) (let ((_let_1072 (forall ((u |u_(-> tptp.set_set_char tptp.set_char)|) (e tptp.set_char) (i tptp.set_set_char)) (not (forall ((v |u_(-> tptp.set_set_char tptp.set_char)|)) (not (forall ((ii tptp.set_set_char)) (= (ho_15015 v ii) (ite (= i ii) e (ho_15015 u ii)))))))))) (let ((_let_1073 (forall ((x |u_(-> tptp.set_set_char tptp.set_char)|) (y |u_(-> tptp.set_set_char tptp.set_char)|)) (or (not (forall ((z tptp.set_set_char)) (= (ho_15015 x z) (ho_15015 y z)))) (= x y))))) (let ((_let_1074 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_char)|) (e tptp.set_set_char) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_char)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15013 v ii) (ite (= i ii) e (ho_15013 u ii)))))))))) (let ((_let_1075 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_char)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_char)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15013 x z) (ho_15013 y z)))) (= x y))))) (let ((_let_1076 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5123 v ii) (ite (= i ii) e (ho_5123 u ii)))))))))) (let ((_let_1077 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5123 x z) (ho_5123 y z)))) (= x y))))) (let ((_let_1078 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9726 v ii) (ite (= i ii) e (ho_9726 u ii)))))))))) (let ((_let_1079 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9726 x z) (ho_9726 y z)))) (= x y))))) (let ((_let_1080 (forall ((u |u_(-> tptp.set_rat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15010 v ii) (ite (= i ii) e (ho_15010 u ii)))))))))) (let ((_let_1081 (forall ((x |u_(-> tptp.set_rat tptp.set_Product_unit)|) (y |u_(-> tptp.set_rat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15010 x z) (ho_15010 y z)))) (= x y))))) (let ((_let_1082 (forall ((u |u_(-> tptp.set_char tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_char)) (= (ho_15007 v ii) (ite (= i ii) e (ho_15007 u ii)))))))))) (let ((_let_1083 (forall ((x |u_(-> tptp.set_char tptp.set_Product_unit)|) (y |u_(-> tptp.set_char tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_char)) (= (ho_15007 x z) (ho_15007 y z)))) (= x y))))) (let ((_let_1084 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|) (e |u_(-> tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|) (i |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (= (ho_15001 v ii) (ite (= i ii) e (ho_15001 u ii)))))))))) (let ((_let_1085 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (= (ho_15001 x z) (ho_15001 y z)))) (= x y))))) (let ((_let_1086 (forall ((u |u_(-> tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|) (e tptp.set_se4612898379794543757t_unit) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_15002 v ii) (ite (= i ii) e (ho_15002 u ii)))))))))) (let ((_let_1087 (forall ((x |u_(-> tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|) (y |u_(-> tptp.set_ref_a tptp.set_se4612898379794543757t_unit)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_15002 x z) (ho_15002 y z)))) (= x y))))) (let ((_let_1088 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8314 v ii) (ite (= i ii) e (ho_8314 u ii)))))))))) (let ((_let_1089 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8314 x z) (ho_8314 y z)))) (= x y))))) (let ((_let_1090 (forall ((u |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_int)|) (e tptp.set_int) (i tptp.set_Pr903927857289325719_int_o)) (not (forall ((v |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_int)|)) (not (forall ((ii tptp.set_Pr903927857289325719_int_o)) (= (ho_14987 v ii) (ite (= i ii) e (ho_14987 u ii)))))))))) (let ((_let_1091 (forall ((x |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_int)|) (y |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_int)|)) (or (not (forall ((z tptp.set_Pr903927857289325719_int_o)) (= (ho_14987 x z) (ho_14987 y z)))) (= x y))))) (let ((_let_1092 (forall ((u |u_(-> _u_(-> tptp.produc6865911496949736918t_unit tptp.int)_ tptp.set_Pr5889264611543340172t_unit tptp.set_int)|) (e |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_int)|) (i |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc6865911496949736918t_unit tptp.int)_ tptp.set_Pr5889264611543340172t_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|)) (= (ho_14983 v ii) (ite (= i ii) e (ho_14983 u ii)))))))))) (let ((_let_1093 (forall ((x |u_(-> _u_(-> tptp.produc6865911496949736918t_unit tptp.int)_ tptp.set_Pr5889264611543340172t_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.produc6865911496949736918t_unit tptp.int)_ tptp.set_Pr5889264611543340172t_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|)) (= (ho_14983 x z) (ho_14983 y z)))) (= x y))))) (let ((_let_1094 (forall ((u |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|) (e tptp.int) (i tptp.produc6865911496949736918t_unit)) (not (forall ((v |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|)) (not (forall ((ii tptp.produc6865911496949736918t_unit)) (= (ho_14981 v ii) (ite (= i ii) e (ho_14981 u ii)))))))))) (let ((_let_1095 (forall ((x |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|) (y |u_(-> tptp.produc6865911496949736918t_unit tptp.int)|)) (or (not (forall ((z tptp.produc6865911496949736918t_unit)) (= (ho_14981 x z) (ho_14981 y z)))) (= x y))))) (let ((_let_1096 (forall ((u |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_int)|) (e tptp.set_int) (i tptp.set_Pr5889264611543340172t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_int)|)) (not (forall ((ii tptp.set_Pr5889264611543340172t_unit)) (= (ho_14984 v ii) (ite (= i ii) e (ho_14984 u ii)))))))))) (let ((_let_1097 (forall ((x |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_int)|) (y |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_int)|)) (or (not (forall ((z tptp.set_Pr5889264611543340172t_unit)) (= (ho_14984 x z) (ho_14984 y z)))) (= x y))))) (let ((_let_1098 (forall ((u |u_(-> tptp.int tptp.code_integer tptp.int)|) (e |u_(-> tptp.code_integer tptp.int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.code_integer tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_12243 v ii) (ite (= i ii) e (ho_12243 u ii)))))))))) (let ((_let_1099 (forall ((x |u_(-> tptp.int tptp.code_integer tptp.int)|) (y |u_(-> tptp.int tptp.code_integer tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_12243 x z) (ho_12243 y z)))) (= x y))))) (let ((_let_1100 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|) (e |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|)) (not (forall ((ii tptp.set_int)) (= (ho_14978 v ii) (ite (= i ii) e (ho_14978 u ii)))))))))) (let ((_let_1101 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14978 x z) (ho_14978 y z)))) (= x y))))) (let ((_let_1102 (forall ((u |u_(-> tptp.set_char_nat Bool)|) (e Bool) (i tptp.set_char_nat)) (not (forall ((v |u_(-> tptp.set_char_nat Bool)|)) (not (forall ((ii tptp.set_char_nat)) (= (ho_15495 v ii) (ite (= i ii) e (ho_15495 u ii)))))))))) (let ((_let_1103 (forall ((x |u_(-> tptp.set_char_nat Bool)|) (y |u_(-> tptp.set_char_nat Bool)|)) (or (not (forall ((z tptp.set_char_nat)) (= (ho_15495 x z) (ho_15495 y z)))) (= x y))))) (let ((_let_1104 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|) (e tptp.set_Pr5889264611543340172t_unit) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_14979 v ii) (ite (= i ii) e (ho_14979 u ii)))))))))) (let ((_let_1105 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_Pr5889264611543340172t_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_14979 x z) (ho_14979 y z)))) (= x y))))) (let ((_let_1106 (forall ((u |u_(-> tptp.set_Pr3798168094891919931at_nat tptp.set_Pr3798168094891919931at_nat Bool)|) (e |u_(-> tptp.set_Pr3798168094891919931at_nat Bool)|) (i tptp.set_Pr3798168094891919931at_nat)) (not (forall ((v |u_(-> tptp.set_Pr3798168094891919931at_nat tptp.set_Pr3798168094891919931at_nat Bool)|)) (not (forall ((ii tptp.set_Pr3798168094891919931at_nat)) (= (ho_14975 v ii) (ite (= i ii) e (ho_14975 u ii)))))))))) (let ((_let_1107 (forall ((x |u_(-> tptp.set_Pr3798168094891919931at_nat tptp.set_Pr3798168094891919931at_nat Bool)|) (y |u_(-> tptp.set_Pr3798168094891919931at_nat tptp.set_Pr3798168094891919931at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr3798168094891919931at_nat)) (= (ho_14975 x z) (ho_14975 y z)))) (= x y))))) (let ((_let_1108 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_8907 v ii) (ite (= i ii) e (ho_8907 u ii)))))))))) (let ((_let_1109 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_8907 x z) (ho_8907 y z)))) (= x y))))) (let ((_let_1110 (forall ((u |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o Bool)|) (i tptp.set_Pr3149072824959771635_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|)) (not (forall ((ii tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14973 v ii) (ite (= i ii) e (ho_14973 u ii)))))))))) (let ((_let_1111 (forall ((x |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|) (y |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|)) (or (not (forall ((z tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14973 x z) (ho_14973 y z)))) (= x y))))) (let ((_let_1112 (forall ((u |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit Bool)|) (e |u_(-> tptp.set_Pr4334478416066269672t_unit Bool)|) (i tptp.set_Pr4334478416066269672t_unit)) (not (forall ((v |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit Bool)|)) (not (forall ((ii tptp.set_Pr4334478416066269672t_unit)) (= (ho_14970 v ii) (ite (= i ii) e (ho_14970 u ii)))))))))) (let ((_let_1113 (forall ((x |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit Bool)|) (y |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr4334478416066269672t_unit)) (= (ho_14970 x z) (ho_14970 y z)))) (= x y))))) (let ((_let_1114 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|) (e |u_(-> tptp.rat tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_6810 v ii) (ite (= i ii) e (ho_6810 u ii)))))))))) (let ((_let_1115 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_6810 x z) (ho_6810 y z)))) (= x y))))) (let ((_let_1116 (forall ((u |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat Bool)|) (i tptp.set_Pr2101469702781467981_o_nat)) (not (forall ((v |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|)) (not (forall ((ii tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14968 v ii) (ite (= i ii) e (ho_14968 u ii)))))))))) (let ((_let_1117 (forall ((x |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|) (y |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|)) (or (not (forall ((z tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14968 x z) (ho_14968 y z)))) (= x y))))) (let ((_let_1118 (forall ((u |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o Bool)|) (e |u_(-> tptp.set_Product_prod_o_o Bool)|) (i tptp.set_Product_prod_o_o)) (not (forall ((v |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o Bool)|)) (not (forall ((ii tptp.set_Product_prod_o_o)) (= (ho_14966 v ii) (ite (= i ii) e (ho_14966 u ii)))))))))) (let ((_let_1119 (forall ((x |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o Bool)|) (y |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o Bool)|)) (or (not (forall ((z tptp.set_Product_prod_o_o)) (= (ho_14966 x z) (ho_14966 y z)))) (= x y))))) (let ((_let_1120 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_4692 v ii) (ite (= i ii) e (ho_4692 u ii)))))))))) (let ((_let_1121 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_4692 x z) (ho_4692 y z)))) (= x y))))) (let ((_let_1122 (forall ((u |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit Bool)|) (e |u_(-> tptp.set_Pr6671815714118170108t_unit Bool)|) (i tptp.set_Pr6671815714118170108t_unit)) (not (forall ((v |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit Bool)|)) (not (forall ((ii tptp.set_Pr6671815714118170108t_unit)) (= (ho_14963 v ii) (ite (= i ii) e (ho_14963 u ii)))))))))) (let ((_let_1123 (forall ((x |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit Bool)|) (y |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr6671815714118170108t_unit)) (= (ho_14963 x z) (ho_14963 y z)))) (= x y))))) (let ((_let_1124 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (= (ho_14200 v ii) (ite (= i ii) e (ho_14200 u ii)))))))))) (let ((_let_1125 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (= (ho_14200 x z) (ho_14200 y z)))) (= x y))))) (let ((_let_1126 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5646 v ii) (ite (= i ii) e (ho_5646 u ii)))))))))) (let ((_let_1127 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5646 x z) (ho_5646 y z)))) (= x y))))) (let ((_let_1128 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5784 v ii) (ite (= i ii) e (ho_5784 u ii)))))))))) (let ((_let_1129 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5784 x z) (ho_5784 y z)))) (= x y))))) (let ((_let_1130 (forall ((u |u_(-> tptp.set_Pr6671815714118170108t_unit Bool)|) (e Bool) (i tptp.set_Pr6671815714118170108t_unit)) (not (forall ((v |u_(-> tptp.set_Pr6671815714118170108t_unit Bool)|)) (not (forall ((ii tptp.set_Pr6671815714118170108t_unit)) (= (ho_14964 v ii) (ite (= i ii) e (ho_14964 u ii)))))))))) (let ((_let_1131 (forall ((x |u_(-> tptp.set_Pr6671815714118170108t_unit Bool)|) (y |u_(-> tptp.set_Pr6671815714118170108t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr6671815714118170108t_unit)) (= (ho_14964 x z) (ho_14964 y z)))) (= x y))))) (let ((_let_1132 (forall ((u |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat Bool)|) (e |u_(-> tptp.set_Pr1763845938948868674it_nat Bool)|) (i tptp.set_Pr1763845938948868674it_nat)) (not (forall ((v |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat Bool)|)) (not (forall ((ii tptp.set_Pr1763845938948868674it_nat)) (= (ho_14960 v ii) (ite (= i ii) e (ho_14960 u ii)))))))))) (let ((_let_1133 (forall ((x |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat Bool)|) (y |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1763845938948868674it_nat)) (= (ho_14960 x z) (ho_14960 y z)))) (= x y))))) (let ((_let_1134 (forall ((u |u_(-> tptp.set_Pr5464989305201766866unit_o Bool)|) (e Bool) (i tptp.set_Pr5464989305201766866unit_o)) (not (forall ((v |u_(-> tptp.set_Pr5464989305201766866unit_o Bool)|)) (not (forall ((ii tptp.set_Pr5464989305201766866unit_o)) (= (ho_14958 v ii) (ite (= i ii) e (ho_14958 u ii)))))))))) (let ((_let_1135 (forall ((x |u_(-> tptp.set_Pr5464989305201766866unit_o Bool)|) (y |u_(-> tptp.set_Pr5464989305201766866unit_o Bool)|)) (or (not (forall ((z tptp.set_Pr5464989305201766866unit_o)) (= (ho_14958 x z) (ho_14958 y z)))) (= x y))))) (let ((_let_1136 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat Bool)|)) (= (ho_13952 v ii) (ite (= i ii) e (ho_13952 u ii)))))))))) (let ((_let_1137 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat Bool)|)) (= (ho_13952 x z) (ho_13952 y z)))) (= x y))))) (let ((_let_1138 (forall ((u |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit Bool)|) (e |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|) (i tptp.set_Pr5094982260447487303t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit Bool)|)) (not (forall ((ii tptp.set_Pr5094982260447487303t_unit)) (= (ho_14954 v ii) (ite (= i ii) e (ho_14954 u ii)))))))))) (let ((_let_1139 (forall ((x |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit Bool)|) (y |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr5094982260447487303t_unit)) (= (ho_14954 x z) (ho_14954 y z)))) (= x y))))) (let ((_let_1140 (forall ((u |u_(-> tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8534 v ii) (ite (= i ii) e (ho_8534 u ii)))))))))) (let ((_let_1141 (forall ((x |u_(-> tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8534 x z) (ho_8534 y z)))) (= x y))))) (let ((_let_1142 (forall ((u |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|) (e Bool) (i tptp.set_Pr5094982260447487303t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|)) (not (forall ((ii tptp.set_Pr5094982260447487303t_unit)) (= (ho_14955 v ii) (ite (= i ii) e (ho_14955 u ii)))))))))) (let ((_let_1143 (forall ((x |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|) (y |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr5094982260447487303t_unit)) (= (ho_14955 x z) (ho_14955 y z)))) (= x y))))) (let ((_let_1144 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Product_unit Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_14952 v ii) (ite (= i ii) e (ho_14952 u ii)))))))))) (let ((_let_1145 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Product_unit Bool)|) (y |u_(-> tptp.set_Product_unit tptp.set_Product_unit Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_14952 x z) (ho_14952 y z)))) (= x y))))) (let ((_let_1146 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_14213 v ii) (ite (= i ii) e (ho_14213 u ii)))))))))) (let ((_let_1147 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_14213 x z) (ho_14213 y z)))) (= x y))))) (let ((_let_1148 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_8384 v ii) (ite (= i ii) e (ho_8384 u ii)))))))))) (let ((_let_1149 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_8384 x z) (ho_8384 y z)))) (= x y))))) (let ((_let_1150 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|) (e tptp.set_Pr3798168094891919931at_nat) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14950 v ii) (ite (= i ii) e (ho_14950 u ii)))))))))) (let ((_let_1151 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14950 x z) (ho_14950 y z)))) (= x y))))) (let ((_let_1152 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_nat tptp.set_Product_unit)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_14944 v ii) (ite (= i ii) e (ho_14944 u ii)))))))))) (let ((_let_1153 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_14944 x z) (ho_14944 y z)))) (= x y))))) (let ((_let_1154 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_14942 v ii) (ite (= i ii) e (ho_14942 u ii)))))))))) (let ((_let_1155 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_14942 x z) (ho_14942 y z)))) (= x y))))) (let ((_let_1156 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat Bool)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|) (i |u_(-> tptp.product_prod_o_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat Bool)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat Bool)|)) (= (ho_14939 v ii) (ite (= i ii) e (ho_14939 u ii)))))))))) (let ((_let_1157 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat Bool)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat Bool)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat Bool)|)) (= (ho_14939 x z) (ho_14939 y z)))) (= x y))))) (let ((_let_1158 (forall ((u |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)_ tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|) (i |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)_ tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|)) (= (ho_14936 v ii) (ite (= i ii) e (ho_14936 u ii)))))))))) (let ((_let_1159 (forall ((x |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)_ tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)_ tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|)) (= (ho_14936 x z) (ho_14936 y z)))) (= x y))))) (let ((_let_1160 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_o tptp.nat)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_o tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_o tptp.nat)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_o tptp.nat)|)) (= (ho_14931 v ii) (ite (= i ii) e (ho_14931 u ii)))))))))) (let ((_let_1161 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_o tptp.nat)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_o tptp.nat)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_o tptp.nat)|)) (= (ho_14931 x z) (ho_14931 y z)))) (= x y))))) (let ((_let_1162 (forall ((u |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr3149072824959771635_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14932 v ii) (ite (= i ii) e (ho_14932 u ii)))))))))) (let ((_let_1163 (forall ((x |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|) (y |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14932 x z) (ho_14932 y z)))) (= x y))))) (let ((_let_1164 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_13186 v ii) (ite (= i ii) e (ho_13186 u ii)))))))))) (let ((_let_1165 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_13186 x z) (ho_13186 y z)))) (= x y))))) (let ((_let_1166 (forall ((u |u_(-> Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (not (forall ((ii Bool)) (= (ho_15392 v ii) (ite (= i ii) e (ho_15392 u ii)))))))))) (let ((_let_1167 (forall ((x |u_(-> Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|) (y |u_(-> Bool tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (or (not (forall ((z Bool)) (= (ho_15392 x z) (ho_15392 y z)))) (= x y))))) (let ((_let_1168 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15705 v ii) (ite (= i ii) e (ho_15705 u ii)))))))))) (let ((_let_1169 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15705 x z) (ho_15705 y z)))) (= x y))))) (let ((_let_1170 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat Bool)|) (e Bool) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_12627 v ii) (ite (= i ii) e (ho_12627 u ii)))))))))) (let ((_let_1171 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_12627 x z) (ho_12627 y z)))) (= x y))))) (let ((_let_1172 (forall ((u |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc7485711547916492274unit_o)) (not (forall ((v |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|)) (not (forall ((ii tptp.produc7485711547916492274unit_o)) (= (ho_14926 v ii) (ite (= i ii) e (ho_14926 u ii)))))))))) (let ((_let_1173 (forall ((x |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|) (y |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|)) (or (not (forall ((z tptp.produc7485711547916492274unit_o)) (= (ho_14926 x z) (ho_14926 y z)))) (= x y))))) (let ((_let_1174 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_8329 v ii) (ite (= i ii) e (ho_8329 u ii)))))))))) (let ((_let_1175 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_8329 x z) (ho_8329 y z)))) (= x y))))) (let ((_let_1176 (forall ((u |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|) (e tptp.nat) (i tptp.produc526117512892780850t_unit)) (not (forall ((v |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|)) (not (forall ((ii tptp.produc526117512892780850t_unit)) (= (ho_14921 v ii) (ite (= i ii) e (ho_14921 u ii)))))))))) (let ((_let_1177 (forall ((x |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|) (y |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|)) (or (not (forall ((z tptp.produc526117512892780850t_unit)) (= (ho_14921 x z) (ho_14921 y z)))) (= x y))))) (let ((_let_1178 (forall ((u |u_(-> tptp.produc3788275437394581276t_unit Bool)|) (e Bool) (i tptp.produc3788275437394581276t_unit)) (not (forall ((v |u_(-> tptp.produc3788275437394581276t_unit Bool)|)) (not (forall ((ii tptp.produc3788275437394581276t_unit)) (= (ho_14916 v ii) (ite (= i ii) e (ho_14916 u ii)))))))))) (let ((_let_1179 (forall ((x |u_(-> tptp.produc3788275437394581276t_unit Bool)|) (y |u_(-> tptp.produc3788275437394581276t_unit Bool)|)) (or (not (forall ((z tptp.produc3788275437394581276t_unit)) (= (ho_14916 x z) (ho_14916 y z)))) (= x y))))) (let ((_let_1180 (forall ((u |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr6671815714118170108t_unit)) (not (forall ((v |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_o)|)) (not (forall ((ii tptp.set_Pr6671815714118170108t_unit)) (= (ho_14919 v ii) (ite (= i ii) e (ho_14919 u ii)))))))))) (let ((_let_1181 (forall ((x |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_o)|) (y |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr6671815714118170108t_unit)) (= (ho_14919 x z) (ho_14919 y z)))) (= x y))))) (let ((_let_1182 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_o Bool)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (i |u_(-> tptp.product_prod_nat_o Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_o Bool)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_o Bool)|)) (= (ho_14912 v ii) (ite (= i ii) e (ho_14912 u ii)))))))))) (let ((_let_1183 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_o Bool)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_o Bool)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_o Bool)|)) (= (ho_14912 x z) (ho_14912 y z)))) (= x y))))) (let ((_let_1184 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_9862 v ii) (ite (= i ii) e (ho_9862 u ii)))))))))) (let ((_let_1185 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_9862 x z) (ho_9862 y z)))) (= x y))))) (let ((_let_1186 (forall ((u |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc526117512892780850t_unit)) (not (forall ((v |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|)) (not (forall ((ii tptp.produc526117512892780850t_unit)) (= (ho_14907 v ii) (ite (= i ii) e (ho_14907 u ii)))))))))) (let ((_let_1187 (forall ((x |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|) (y |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|)) (or (not (forall ((z tptp.produc526117512892780850t_unit)) (= (ho_14907 x z) (ho_14907 y z)))) (= x y))))) (let ((_let_1188 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4573 v ii) (ite (= i ii) e (ho_4573 u ii)))))))))) (let ((_let_1189 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4573 x z) (ho_4573 y z)))) (= x y))))) (let ((_let_1190 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ tptp.set_Product_prod_o_o tptp.set_o)|) (e |u_(-> tptp.set_Product_prod_o_o tptp.set_o)|) (i |u_(-> tptp.product_prod_o_o Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ tptp.set_Product_prod_o_o tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_o Bool)|)) (= (ho_14898 v ii) (ite (= i ii) e (ho_14898 u ii)))))))))) (let ((_let_1191 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ tptp.set_Product_prod_o_o tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ tptp.set_Product_prod_o_o tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_o Bool)|)) (= (ho_14898 x z) (ho_14898 y z)))) (= x y))))) (let ((_let_1192 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_8560 v ii) (ite (= i ii) e (ho_8560 u ii)))))))))) (let ((_let_1193 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8560 x z) (ho_8560 y z)))) (= x y))))) (let ((_let_1194 (forall ((u |u_(-> tptp.set_Product_prod_o_o tptp.set_o)|) (e tptp.set_o) (i tptp.set_Product_prod_o_o)) (not (forall ((v |u_(-> tptp.set_Product_prod_o_o tptp.set_o)|)) (not (forall ((ii tptp.set_Product_prod_o_o)) (= (ho_14899 v ii) (ite (= i ii) e (ho_14899 u ii)))))))))) (let ((_let_1195 (forall ((x |u_(-> tptp.set_Product_prod_o_o tptp.set_o)|) (y |u_(-> tptp.set_Product_prod_o_o tptp.set_o)|)) (or (not (forall ((z tptp.set_Product_prod_o_o)) (= (ho_14899 x z) (ho_14899 y z)))) (= x y))))) (let ((_let_1196 (forall ((u |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc3788275437394581276t_unit)) (not (forall ((v |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|)) (not (forall ((ii tptp.produc3788275437394581276t_unit)) (= (ho_14893 v ii) (ite (= i ii) e (ho_14893 u ii)))))))))) (let ((_let_1197 (forall ((x |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|) (y |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|)) (or (not (forall ((z tptp.produc3788275437394581276t_unit)) (= (ho_14893 x z) (ho_14893 y z)))) (= x y))))) (let ((_let_1198 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|)) (not (forall ((ii tptp.set_o)) (= (ho_14890 v ii) (ite (= i ii) e (ho_14890 u ii)))))))))) (let ((_let_1199 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14890 x z) (ho_14890 y z)))) (= x y))))) (let ((_let_1200 (forall ((u |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|) (e tptp.nat) (i tptp.produc600557818389255820it_nat)) (not (forall ((v |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|)) (not (forall ((ii tptp.produc600557818389255820it_nat)) (= (ho_14885 v ii) (ite (= i ii) e (ho_14885 u ii)))))))))) (let ((_let_1201 (forall ((x |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|) (y |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|)) (or (not (forall ((z tptp.produc600557818389255820it_nat)) (= (ho_14885 x z) (ho_14885 y z)))) (= x y))))) (let ((_let_1202 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_14882 v ii) (ite (= i ii) e (ho_14882 u ii)))))))))) (let ((_let_1203 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_14882 x z) (ho_14882 y z)))) (= x y))))) (let ((_let_1204 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|) (e tptp.set_Pr1763845938948868674it_nat) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_14883 v ii) (ite (= i ii) e (ho_14883 u ii)))))))))) (let ((_let_1205 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_14883 x z) (ho_14883 y z)))) (= x y))))) (let ((_let_1206 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13077 v ii) (ite (= i ii) e (ho_13077 u ii)))))))))) (let ((_let_1207 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13077 x z) (ho_13077 y z)))) (= x y))))) (let ((_let_1208 (forall ((u |u_(-> _u_(-> tptp.produc7485711547916492274unit_o Bool)_ tptp.set_Pr5464989305201766866unit_o tptp.set_o)|) (e |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_o)|) (i |u_(-> tptp.produc7485711547916492274unit_o Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7485711547916492274unit_o Bool)_ tptp.set_Pr5464989305201766866unit_o tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.produc7485711547916492274unit_o Bool)|)) (= (ho_14879 v ii) (ite (= i ii) e (ho_14879 u ii)))))))))) (let ((_let_1209 (forall ((x |u_(-> _u_(-> tptp.produc7485711547916492274unit_o Bool)_ tptp.set_Pr5464989305201766866unit_o tptp.set_o)|) (y |u_(-> _u_(-> tptp.produc7485711547916492274unit_o Bool)_ tptp.set_Pr5464989305201766866unit_o tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.produc7485711547916492274unit_o Bool)|)) (= (ho_14879 x z) (ho_14879 y z)))) (= x y))))) (let ((_let_1210 (forall ((u |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr2101469702781467981_o_nat)) (not (forall ((v |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|)) (not (forall ((ii tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14940 v ii) (ite (= i ii) e (ho_14940 u ii)))))))))) (let ((_let_1211 (forall ((x |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|) (y |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14940 x z) (ho_14940 y z)))) (= x y))))) (let ((_let_1212 (forall ((u |u_(-> tptp.produc7485711547916492274unit_o Bool)|) (e Bool) (i tptp.produc7485711547916492274unit_o)) (not (forall ((v |u_(-> tptp.produc7485711547916492274unit_o Bool)|)) (not (forall ((ii tptp.produc7485711547916492274unit_o)) (= (ho_14877 v ii) (ite (= i ii) e (ho_14877 u ii)))))))))) (let ((_let_1213 (forall ((x |u_(-> tptp.produc7485711547916492274unit_o Bool)|) (y |u_(-> tptp.produc7485711547916492274unit_o Bool)|)) (or (not (forall ((z tptp.produc7485711547916492274unit_o)) (= (ho_14877 x z) (ho_14877 y z)))) (= x y))))) (let ((_let_1214 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5765 v ii) (ite (= i ii) e (ho_5765 u ii)))))))))) (let ((_let_1215 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5765 x z) (ho_5765 y z)))) (= x y))))) (let ((_let_1216 (forall ((u |u_(-> _u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)_ tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|) (i |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)_ tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|)) (= (ho_14871 v ii) (ite (= i ii) e (ho_14871 u ii)))))))))) (let ((_let_1217 (forall ((x |u_(-> _u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)_ tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)_ tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|)) (= (ho_14871 x z) (ho_14871 y z)))) (= x y))))) (let ((_let_1218 (forall ((u |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc8459935480633519975t_unit)) (not (forall ((v |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|)) (not (forall ((ii tptp.produc8459935480633519975t_unit)) (= (ho_14869 v ii) (ite (= i ii) e (ho_14869 u ii)))))))))) (let ((_let_1219 (forall ((x |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|) (y |u_(-> tptp.produc8459935480633519975t_unit tptp.product_unit)|)) (or (not (forall ((z tptp.produc8459935480633519975t_unit)) (= (ho_14869 x z) (ho_14869 y z)))) (= x y))))) (let ((_let_1220 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9934 v ii) (ite (= i ii) e (ho_9934 u ii)))))))))) (let ((_let_1221 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9934 x z) (ho_9934 y z)))) (= x y))))) (let ((_let_1222 (forall ((u |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr5094982260447487303t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr5094982260447487303t_unit)) (= (ho_14872 v ii) (ite (= i ii) e (ho_14872 u ii)))))))))) (let ((_let_1223 (forall ((x |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr5094982260447487303t_unit)) (= (ho_14872 x z) (ho_14872 y z)))) (= x y))))) (let ((_let_1224 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_14853 v ii) (ite (= i ii) e (ho_14853 u ii)))))))))) (let ((_let_1225 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_14853 x z) (ho_14853 y z)))) (= x y))))) (let ((_let_1226 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14849 v ii) (ite (= i ii) e (ho_14849 u ii)))))))))) (let ((_let_1227 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14849 x z) (ho_14849 y z)))) (= x y))))) (let ((_let_1228 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14846 v ii) (ite (= i ii) e (ho_14846 u ii)))))))))) (let ((_let_1229 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14846 x z) (ho_14846 y z)))) (= x y))))) (let ((_let_1230 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_14292 v ii) (ite (= i ii) e (ho_14292 u ii)))))))))) (let ((_let_1231 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_14292 x z) (ho_14292 y z)))) (= x y))))) (let ((_let_1232 (forall ((u |u_(-> tptp.int tptp.product_unit tptp.produc6865911496949736918t_unit)|) (e |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (not (forall ((ii tptp.int)) (= (ho_15678 v ii) (ite (= i ii) e (ho_15678 u ii)))))))))) (let ((_let_1233 (forall ((x |u_(-> tptp.int tptp.product_unit tptp.produc6865911496949736918t_unit)|) (y |u_(-> tptp.int tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (or (not (forall ((z tptp.int)) (= (ho_15678 x z) (ho_15678 y z)))) (= x y))))) (let ((_let_1234 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_14847 v ii) (ite (= i ii) e (ho_14847 u ii)))))))))) (let ((_let_1235 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_14847 x z) (ho_14847 y z)))) (= x y))))) (let ((_let_1236 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10754 v ii) (ite (= i ii) e (ho_10754 u ii)))))))))) (let ((_let_1237 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10754 x z) (ho_10754 y z)))) (= x y))))) (let ((_let_1238 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (= (ho_14843 v ii) (ite (= i ii) e (ho_14843 u ii)))))))))) (let ((_let_1239 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (= (ho_14843 x z) (ho_14843 y z)))) (= x y))))) (let ((_let_1240 (forall ((u |u_(-> tptp.set_int_o tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_int_o)) (not (forall ((v |u_(-> tptp.set_int_o tptp.set_set_int)|)) (not (forall ((ii tptp.set_int_o)) (= (ho_6193 v ii) (ite (= i ii) e (ho_6193 u ii)))))))))) (let ((_let_1241 (forall ((x |u_(-> tptp.set_int_o tptp.set_set_int)|) (y |u_(-> tptp.set_int_o tptp.set_set_int)|)) (or (not (forall ((z tptp.set_int_o)) (= (ho_6193 x z) (ho_6193 y z)))) (= x y))))) (let ((_let_1242 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14841 v ii) (ite (= i ii) e (ho_14841 u ii)))))))))) (let ((_let_1243 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14841 x z) (ho_14841 y z)))) (= x y))))) (let ((_let_1244 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_16162 v ii) (ite (= i ii) e (ho_16162 u ii)))))))))) (let ((_let_1245 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_16162 x z) (ho_16162 y z)))) (= x y))))) (let ((_let_1246 (forall ((u |u_(-> tptp.set_rat _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|) (e |u_(-> _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8859 v ii) (ite (= i ii) e (ho_8859 u ii)))))))))) (let ((_let_1247 (forall ((x |u_(-> tptp.set_rat _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|) (y |u_(-> tptp.set_rat _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8859 x z) (ho_8859 y z)))) (= x y))))) (let ((_let_1248 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14844 v ii) (ite (= i ii) e (ho_14844 u ii)))))))))) (let ((_let_1249 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14844 x z) (ho_14844 y z)))) (= x y))))) (let ((_let_1250 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14837 v ii) (ite (= i ii) e (ho_14837 u ii)))))))))) (let ((_let_1251 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14837 x z) (ho_14837 y z)))) (= x y))))) (let ((_let_1252 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14835 v ii) (ite (= i ii) e (ho_14835 u ii)))))))))) (let ((_let_1253 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14835 x z) (ho_14835 y z)))) (= x y))))) (let ((_let_1254 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_14831 v ii) (ite (= i ii) e (ho_14831 u ii)))))))))) (let ((_let_1255 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_14831 x z) (ho_14831 y z)))) (= x y))))) (let ((_let_1256 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14832 v ii) (ite (= i ii) e (ho_14832 u ii)))))))))) (let ((_let_1257 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14832 x z) (ho_14832 y z)))) (= x y))))) (let ((_let_1258 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|) (e |u_(-> _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|)) (not (forall ((ii tptp.set_num)) (= (ho_14828 v ii) (ite (= i ii) e (ho_14828 u ii)))))))))) (let ((_let_1259 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|)) (or (not (forall ((z tptp.set_num)) (= (ho_14828 x z) (ho_14828 y z)))) (= x y))))) (let ((_let_1260 (forall ((u |u_(-> _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|) (e tptp.set_Pr3280342998896498603um_nat) (i |u_(-> tptp.num tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.set_nat)|)) (= (ho_14829 v ii) (ite (= i ii) e (ho_14829 u ii)))))))))) (let ((_let_1261 (forall ((x |u_(-> _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|) (y |u_(-> _u_(-> tptp.num tptp.set_nat)_ tptp.set_Pr3280342998896498603um_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.set_nat)|)) (= (ho_14829 x z) (ho_14829 y z)))) (= x y))))) (let ((_let_1262 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14823 v ii) (ite (= i ii) e (ho_14823 u ii)))))))))) (let ((_let_1263 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14823 x z) (ho_14823 y z)))) (= x y))))) (let ((_let_1264 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (= (ho_14824 v ii) (ite (= i ii) e (ho_14824 u ii)))))))))) (let ((_let_1265 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (= (ho_14824 x z) (ho_14824 y z)))) (= x y))))) (let ((_let_1266 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14825 v ii) (ite (= i ii) e (ho_14825 u ii)))))))))) (let ((_let_1267 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14825 x z) (ho_14825 y z)))) (= x y))))) (let ((_let_1268 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14826 v ii) (ite (= i ii) e (ho_14826 u ii)))))))))) (let ((_let_1269 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14826 x z) (ho_14826 y z)))) (= x y))))) (let ((_let_1270 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (= (ho_14818 v ii) (ite (= i ii) e (ho_14818 u ii)))))))))) (let ((_let_1271 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (= (ho_14818 x z) (ho_14818 y z)))) (= x y))))) (let ((_let_1272 (forall ((u |u_(-> Bool tptp.nat Bool tptp.nat)|) (e |u_(-> tptp.nat Bool tptp.nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat Bool tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_15767 v ii) (ite (= i ii) e (ho_15767 u ii)))))))))) (let ((_let_1273 (forall ((x |u_(-> Bool tptp.nat Bool tptp.nat)|) (y |u_(-> Bool tptp.nat Bool tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_15767 x z) (ho_15767 y z)))) (= x y))))) (let ((_let_1274 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14809 v ii) (ite (= i ii) e (ho_14809 u ii)))))))))) (let ((_let_1275 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14809 x z) (ho_14809 y z)))) (= x y))))) (let ((_let_1276 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14810 v ii) (ite (= i ii) e (ho_14810 u ii)))))))))) (let ((_let_1277 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14810 x z) (ho_14810 y z)))) (= x y))))) (let ((_let_1278 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_12950 v ii) (ite (= i ii) e (ho_12950 u ii)))))))))) (let ((_let_1279 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_12950 x z) (ho_12950 y z)))) (= x y))))) (let ((_let_1280 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_14804 v ii) (ite (= i ii) e (ho_14804 u ii)))))))))) (let ((_let_1281 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_14804 x z) (ho_14804 y z)))) (= x y))))) (let ((_let_1282 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14803 v ii) (ite (= i ii) e (ho_14803 u ii)))))))))) (let ((_let_1283 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14803 x z) (ho_14803 y z)))) (= x y))))) (let ((_let_1284 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14821 v ii) (ite (= i ii) e (ho_14821 u ii)))))))))) (let ((_let_1285 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14821 x z) (ho_14821 y z)))) (= x y))))) (let ((_let_1286 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (= (ho_14813 v ii) (ite (= i ii) e (ho_14813 u ii)))))))))) (let ((_let_1287 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (= (ho_14813 x z) (ho_14813 y z)))) (= x y))))) (let ((_let_1288 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (e |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (= (ho_14800 v ii) (ite (= i ii) e (ho_14800 u ii)))))))))) (let ((_let_1289 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (= (ho_14800 x z) (ho_14800 y z)))) (= x y))))) (let ((_let_1290 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|) (e tptp.code_integer) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_14798 v ii) (ite (= i ii) e (ho_14798 u ii)))))))))) (let ((_let_1291 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_14798 x z) (ho_14798 y z)))) (= x y))))) (let ((_let_1292 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_12416 v ii) (ite (= i ii) e (ho_12416 u ii)))))))))) (let ((_let_1293 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_12416 x z) (ho_12416 y z)))) (= x y))))) (let ((_let_1294 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (= (ho_14801 v ii) (ite (= i ii) e (ho_14801 u ii)))))))))) (let ((_let_1295 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (= (ho_14801 x z) (ho_14801 y z)))) (= x y))))) (let ((_let_1296 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14814 v ii) (ite (= i ii) e (ho_14814 u ii)))))))))) (let ((_let_1297 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14814 x z) (ho_14814 y z)))) (= x y))))) (let ((_let_1298 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|) (e |u_(-> tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_14792 v ii) (ite (= i ii) e (ho_14792 u ii)))))))))) (let ((_let_1299 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_14792 x z) (ho_14792 y z)))) (= x y))))) (let ((_let_1300 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_8419 v ii) (ite (= i ii) e (ho_8419 u ii)))))))))) (let ((_let_1301 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_8419 x z) (ho_8419 y z)))) (= x y))))) (let ((_let_1302 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (e |u_(-> tptp.code_integer Bool)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_16161 v ii) (ite (= i ii) e (ho_16161 u ii)))))))))) (let ((_let_1303 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_16161 x z) (ho_16161 y z)))) (= x y))))) (let ((_let_1304 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14789 v ii) (ite (= i ii) e (ho_14789 u ii)))))))))) (let ((_let_1305 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14789 x z) (ho_14789 y z)))) (= x y))))) (let ((_let_1306 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> Bool tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4965 v ii) (ite (= i ii) e (ho_4965 u ii)))))))))) (let ((_let_1307 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4965 x z) (ho_4965 y z)))) (= x y))))) (let ((_let_1308 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14791 v ii) (ite (= i ii) e (ho_14791 u ii)))))))))) (let ((_let_1309 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14791 x z) (ho_14791 y z)))) (= x y))))) (let ((_let_1310 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14785 v ii) (ite (= i ii) e (ho_14785 u ii)))))))))) (let ((_let_1311 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14785 x z) (ho_14785 y z)))) (= x y))))) (let ((_let_1312 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|) (e |u_(-> tptp.int tptp.code_integer)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14773 v ii) (ite (= i ii) e (ho_14773 u ii)))))))))) (let ((_let_1313 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14773 x z) (ho_14773 y z)))) (= x y))))) (let ((_let_1314 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.code_integer tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int)|)) (= (ho_14777 v ii) (ite (= i ii) e (ho_14777 u ii)))))))))) (let ((_let_1315 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int)|)) (= (ho_14777 x z) (ho_14777 y z)))) (= x y))))) (let ((_let_1316 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14769 v ii) (ite (= i ii) e (ho_14769 u ii)))))))))) (let ((_let_1317 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14769 x z) (ho_14769 y z)))) (= x y))))) (let ((_let_1318 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13481 v ii) (ite (= i ii) e (ho_13481 u ii)))))))))) (let ((_let_1319 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13481 x z) (ho_13481 y z)))) (= x y))))) (let ((_let_1320 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|) (e |u_(-> tptp.code_integer tptp.int)|) (i |u_(-> tptp.code_integer tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int)|)) (= (ho_14770 v ii) (ite (= i ii) e (ho_14770 u ii)))))))))) (let ((_let_1321 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int)_ tptp.code_integer tptp.int)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int)|)) (= (ho_14770 x z) (ho_14770 y z)))) (= x y))))) (let ((_let_1322 (forall ((u |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (e |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (i tptp.set_Pr5094982260447487303t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|)) (not (forall ((ii tptp.set_Pr5094982260447487303t_unit)) (= (ho_15190 v ii) (ite (= i ii) e (ho_15190 u ii)))))))))) (let ((_let_1323 (forall ((x |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (y |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|)) (or (not (forall ((z tptp.set_Pr5094982260447487303t_unit)) (= (ho_15190 x z) (ho_15190 y z)))) (= x y))))) (let ((_let_1324 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_14766 v ii) (ite (= i ii) e (ho_14766 u ii)))))))))) (let ((_let_1325 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_14766 x z) (ho_14766 y z)))) (= x y))))) (let ((_let_1326 (forall ((u |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_4923 v ii) (ite (= i ii) e (ho_4923 u ii)))))))))) (let ((_let_1327 (forall ((x |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_4923 x z) (ho_4923 y z)))) (= x y))))) (let ((_let_1328 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14761 v ii) (ite (= i ii) e (ho_14761 u ii)))))))))) (let ((_let_1329 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14761 x z) (ho_14761 y z)))) (= x y))))) (let ((_let_1330 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14763 v ii) (ite (= i ii) e (ho_14763 u ii)))))))))) (let ((_let_1331 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14763 x z) (ho_14763 y z)))) (= x y))))) (let ((_let_1332 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14752 v ii) (ite (= i ii) e (ho_14752 u ii)))))))))) (let ((_let_1333 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14752 x z) (ho_14752 y z)))) (= x y))))) (let ((_let_1334 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14746 v ii) (ite (= i ii) e (ho_14746 u ii)))))))))) (let ((_let_1335 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14746 x z) (ho_14746 y z)))) (= x y))))) (let ((_let_1336 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_14753 v ii) (ite (= i ii) e (ho_14753 u ii)))))))))) (let ((_let_1337 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_14753 x z) (ho_14753 y z)))) (= x y))))) (let ((_let_1338 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14741 v ii) (ite (= i ii) e (ho_14741 u ii)))))))))) (let ((_let_1339 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14741 x z) (ho_14741 y z)))) (= x y))))) (let ((_let_1340 (forall ((u |u_(-> tptp.set_int tptp.int Bool Bool)|) (e |u_(-> tptp.int Bool Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int Bool Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_7526 v ii) (ite (= i ii) e (ho_7526 u ii)))))))))) (let ((_let_1341 (forall ((x |u_(-> tptp.set_int tptp.int Bool Bool)|) (y |u_(-> tptp.set_int tptp.int Bool Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7526 x z) (ho_7526 y z)))) (= x y))))) (let ((_let_1342 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> tptp.int tptp.num Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14742 v ii) (ite (= i ii) e (ho_14742 u ii)))))))))) (let ((_let_1343 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14742 x z) (ho_14742 y z)))) (= x y))))) (let ((_let_1344 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_14739 v ii) (ite (= i ii) e (ho_14739 u ii)))))))))) (let ((_let_1345 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_14739 x z) (ho_14739 y z)))) (= x y))))) (let ((_let_1346 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14730 v ii) (ite (= i ii) e (ho_14730 u ii)))))))))) (let ((_let_1347 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14730 x z) (ho_14730 y z)))) (= x y))))) (let ((_let_1348 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_6919 v ii) (ite (= i ii) e (ho_6919 u ii)))))))))) (let ((_let_1349 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_6919 x z) (ho_6919 y z)))) (= x y))))) (let ((_let_1350 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14727 v ii) (ite (= i ii) e (ho_14727 u ii)))))))))) (let ((_let_1351 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14727 x z) (ho_14727 y z)))) (= x y))))) (let ((_let_1352 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14722 v ii) (ite (= i ii) e (ho_14722 u ii)))))))))) (let ((_let_1353 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14722 x z) (ho_14722 y z)))) (= x y))))) (let ((_let_1354 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14720 v ii) (ite (= i ii) e (ho_14720 u ii)))))))))) (let ((_let_1355 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14720 x z) (ho_14720 y z)))) (= x y))))) (let ((_let_1356 (forall ((u |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr5889264611543340172t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr5889264611543340172t_unit)) (= (ho_15681 v ii) (ite (= i ii) e (ho_15681 u ii)))))))))) (let ((_let_1357 (forall ((x |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr5889264611543340172t_unit)) (= (ho_15681 x z) (ho_15681 y z)))) (= x y))))) (let ((_let_1358 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|) (e |u_(-> tptp.nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14716 v ii) (ite (= i ii) e (ho_14716 u ii)))))))))) (let ((_let_1359 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14716 x z) (ho_14716 y z)))) (= x y))))) (let ((_let_1360 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_14710 v ii) (ite (= i ii) e (ho_14710 u ii)))))))))) (let ((_let_1361 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_14710 x z) (ho_14710 y z)))) (= x y))))) (let ((_let_1362 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (e |u_(-> tptp.nat tptp.product_unit)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_8415 v ii) (ite (= i ii) e (ho_8415 u ii)))))))))) (let ((_let_1363 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_8415 x z) (ho_8415 y z)))) (= x y))))) (let ((_let_1364 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4977 v ii) (ite (= i ii) e (ho_4977 u ii)))))))))) (let ((_let_1365 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4977 x z) (ho_4977 y z)))) (= x y))))) (let ((_let_1366 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_14711 v ii) (ite (= i ii) e (ho_14711 u ii)))))))))) (let ((_let_1367 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_14711 x z) (ho_14711 y z)))) (= x y))))) (let ((_let_1368 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_14712 v ii) (ite (= i ii) e (ho_14712 u ii)))))))))) (let ((_let_1369 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_14712 x z) (ho_14712 y z)))) (= x y))))) (let ((_let_1370 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (e |u_(-> tptp.nat tptp.set_Product_unit)|) (i |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_8557 v ii) (ite (= i ii) e (ho_8557 u ii)))))))))) (let ((_let_1371 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_8557 x z) (ho_8557 y z)))) (= x y))))) (let ((_let_1372 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14713 v ii) (ite (= i ii) e (ho_14713 u ii)))))))))) (let ((_let_1373 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14713 x z) (ho_14713 y z)))) (= x y))))) (let ((_let_1374 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14706 v ii) (ite (= i ii) e (ho_14706 u ii)))))))))) (let ((_let_1375 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14706 x z) (ho_14706 y z)))) (= x y))))) (let ((_let_1376 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14707 v ii) (ite (= i ii) e (ho_14707 u ii)))))))))) (let ((_let_1377 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14707 x z) (ho_14707 y z)))) (= x y))))) (let ((_let_1378 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14708 v ii) (ite (= i ii) e (ho_14708 u ii)))))))))) (let ((_let_1379 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14708 x z) (ho_14708 y z)))) (= x y))))) (let ((_let_1380 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14693 v ii) (ite (= i ii) e (ho_14693 u ii)))))))))) (let ((_let_1381 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14693 x z) (ho_14693 y z)))) (= x y))))) (let ((_let_1382 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14690 v ii) (ite (= i ii) e (ho_14690 u ii)))))))))) (let ((_let_1383 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14690 x z) (ho_14690 y z)))) (= x y))))) (let ((_let_1384 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14687 v ii) (ite (= i ii) e (ho_14687 u ii)))))))))) (let ((_let_1385 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14687 x z) (ho_14687 y z)))) (= x y))))) (let ((_let_1386 (forall ((u |u_(-> tptp.num tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.int Bool)|)) (not (forall ((ii tptp.num)) (= (ho_16160 v ii) (ite (= i ii) e (ho_16160 u ii)))))))))) (let ((_let_1387 (forall ((x |u_(-> tptp.num tptp.int Bool)|) (y |u_(-> tptp.num tptp.int Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_16160 x z) (ho_16160 y z)))) (= x y))))) (let ((_let_1388 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14683 v ii) (ite (= i ii) e (ho_14683 u ii)))))))))) (let ((_let_1389 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14683 x z) (ho_14683 y z)))) (= x y))))) (let ((_let_1390 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_14685 v ii) (ite (= i ii) e (ho_14685 u ii)))))))))) (let ((_let_1391 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_14685 x z) (ho_14685 y z)))) (= x y))))) (let ((_let_1392 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_10817 v ii) (ite (= i ii) e (ho_10817 u ii)))))))))) (let ((_let_1393 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10817 x z) (ho_10817 y z)))) (= x y))))) (let ((_let_1394 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14678 v ii) (ite (= i ii) e (ho_14678 u ii)))))))))) (let ((_let_1395 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14678 x z) (ho_14678 y z)))) (= x y))))) (let ((_let_1396 (forall ((u |u_(-> tptp.set_Code_integer tptp.set_Code_integer tptp.set_Code_integer)|) (e |u_(-> tptp.set_Code_integer tptp.set_Code_integer)|) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer tptp.set_Code_integer tptp.set_Code_integer)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_15138 v ii) (ite (= i ii) e (ho_15138 u ii)))))))))) (let ((_let_1397 (forall ((x |u_(-> tptp.set_Code_integer tptp.set_Code_integer tptp.set_Code_integer)|) (y |u_(-> tptp.set_Code_integer tptp.set_Code_integer tptp.set_Code_integer)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_15138 x z) (ho_15138 y z)))) (= x y))))) (let ((_let_1398 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_14680 v ii) (ite (= i ii) e (ho_14680 u ii)))))))))) (let ((_let_1399 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_14680 x z) (ho_14680 y z)))) (= x y))))) (let ((_let_1400 (forall ((u |u_(-> tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15416 v ii) (ite (= i ii) e (ho_15416 u ii)))))))))) (let ((_let_1401 (forall ((x |u_(-> tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15416 x z) (ho_15416 y z)))) (= x y))))) (let ((_let_1402 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14675 v ii) (ite (= i ii) e (ho_14675 u ii)))))))))) (let ((_let_1403 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14675 x z) (ho_14675 y z)))) (= x y))))) (let ((_let_1404 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|) (e |u_(-> Bool tptp.nat Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_14676 v ii) (ite (= i ii) e (ho_14676 u ii)))))))))) (let ((_let_1405 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_14676 x z) (ho_14676 y z)))) (= x y))))) (let ((_let_1406 (forall ((u |u_(-> tptp.product_prod_int_o tptp.int)|) (e tptp.int) (i tptp.product_prod_int_o)) (not (forall ((v |u_(-> tptp.product_prod_int_o tptp.int)|)) (not (forall ((ii tptp.product_prod_int_o)) (= (ho_14659 v ii) (ite (= i ii) e (ho_14659 u ii)))))))))) (let ((_let_1407 (forall ((x |u_(-> tptp.product_prod_int_o tptp.int)|) (y |u_(-> tptp.product_prod_int_o tptp.int)|)) (or (not (forall ((z tptp.product_prod_int_o)) (= (ho_14659 x z) (ho_14659 y z)))) (= x y))))) (let ((_let_1408 (forall ((u |u_(-> tptp.product_prod_nat_o tptp.nat)|) (e tptp.nat) (i tptp.product_prod_nat_o)) (not (forall ((v |u_(-> tptp.product_prod_nat_o tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_o)) (= (ho_14651 v ii) (ite (= i ii) e (ho_14651 u ii)))))))))) (let ((_let_1409 (forall ((x |u_(-> tptp.product_prod_nat_o tptp.nat)|) (y |u_(-> tptp.product_prod_nat_o tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_o)) (= (ho_14651 x z) (ho_14651 y z)))) (= x y))))) (let ((_let_1410 (forall ((u |u_(-> tptp.product_prod_nat_o Bool)|) (e Bool) (i tptp.product_prod_nat_o)) (not (forall ((v |u_(-> tptp.product_prod_nat_o Bool)|)) (not (forall ((ii tptp.product_prod_nat_o)) (= (ho_14649 v ii) (ite (= i ii) e (ho_14649 u ii)))))))))) (let ((_let_1411 (forall ((x |u_(-> tptp.product_prod_nat_o Bool)|) (y |u_(-> tptp.product_prod_nat_o Bool)|)) (or (not (forall ((z tptp.product_prod_nat_o)) (= (ho_14649 x z) (ho_14649 y z)))) (= x y))))) (let ((_let_1412 (forall ((u |u_(-> tptp.product_prod_o_int tptp.int)|) (e tptp.int) (i tptp.product_prod_o_int)) (not (forall ((v |u_(-> tptp.product_prod_o_int tptp.int)|)) (not (forall ((ii tptp.product_prod_o_int)) (= (ho_14645 v ii) (ite (= i ii) e (ho_14645 u ii)))))))))) (let ((_let_1413 (forall ((x |u_(-> tptp.product_prod_o_int tptp.int)|) (y |u_(-> tptp.product_prod_o_int tptp.int)|)) (or (not (forall ((z tptp.product_prod_o_int)) (= (ho_14645 x z) (ho_14645 y z)))) (= x y))))) (let ((_let_1414 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8330 v ii) (ite (= i ii) e (ho_8330 u ii)))))))))) (let ((_let_1415 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8330 x z) (ho_8330 y z)))) (= x y))))) (let ((_let_1416 (forall ((u |u_(-> tptp.product_prod_o_nat Bool)|) (e Bool) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat Bool)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_14643 v ii) (ite (= i ii) e (ho_14643 u ii)))))))))) (let ((_let_1417 (forall ((x |u_(-> tptp.product_prod_o_nat Bool)|) (y |u_(-> tptp.product_prod_o_nat Bool)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_14643 x z) (ho_14643 y z)))) (= x y))))) (let ((_let_1418 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_14702 v ii) (ite (= i ii) e (ho_14702 u ii)))))))))) (let ((_let_1419 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_14702 x z) (ho_14702 y z)))) (= x y))))) (let ((_let_1420 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_10818 v ii) (ite (= i ii) e (ho_10818 u ii)))))))))) (let ((_let_1421 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_10818 x z) (ho_10818 y z)))) (= x y))))) (let ((_let_1422 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_14639 v ii) (ite (= i ii) e (ho_14639 u ii)))))))))) (let ((_let_1423 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_14639 x z) (ho_14639 y z)))) (= x y))))) (let ((_let_1424 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i |u_(-> tptp.product_prod_nat_num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_14637 v ii) (ite (= i ii) e (ho_14637 u ii)))))))))) (let ((_let_1425 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_14637 x z) (ho_14637 y z)))) (= x y))))) (let ((_let_1426 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12553 v ii) (ite (= i ii) e (ho_12553 u ii)))))))))) (let ((_let_1427 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12553 x z) (ho_12553 y z)))) (= x y))))) (let ((_let_1428 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.produc1319942482725812455at_nat)|) (e tptp.produc1319942482725812455at_nat) (i |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_14633 v ii) (ite (= i ii) e (ho_14633 u ii)))))))))) (let ((_let_1429 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_14633 x z) (ho_14633 y z)))) (= x y))))) (let ((_let_1430 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14627 v ii) (ite (= i ii) e (ho_14627 u ii)))))))))) (let ((_let_1431 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14627 x z) (ho_14627 y z)))) (= x y))))) (let ((_let_1432 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.produc1709102135585200056nt_nat Bool)|) (e |u_(-> tptp.produc1709102135585200056nt_nat Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.produc1709102135585200056nt_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (= (ho_14623 v ii) (ite (= i ii) e (ho_14623 u ii)))))))))) (let ((_let_1433 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.produc1709102135585200056nt_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.produc1709102135585200056nt_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (= (ho_14623 x z) (ho_14623 y z)))) (= x y))))) (let ((_let_1434 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14613 v ii) (ite (= i ii) e (ho_14613 u ii)))))))))) (let ((_let_1435 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14613 x z) (ho_14613 y z)))) (= x y))))) (let ((_let_1436 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|) (e tptp.set_Pr6123067485828015636nt_int) (i |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (= (ho_14614 v ii) (ite (= i ii) e (ho_14614 u ii)))))))))) (let ((_let_1437 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr6123067485828015636nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (= (ho_14614 x z) (ho_14614 y z)))) (= x y))))) (let ((_let_1438 (forall ((u |u_(-> _u_(-> tptp.produc6945250483304103390nt_int Bool)_ tptp.set_Pr6123067485828015636nt_int)|) (e tptp.set_Pr6123067485828015636nt_int) (i |u_(-> tptp.produc6945250483304103390nt_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc6945250483304103390nt_int Bool)_ tptp.set_Pr6123067485828015636nt_int)|)) (not (forall ((ii |u_(-> tptp.produc6945250483304103390nt_int Bool)|)) (= (ho_14611 v ii) (ite (= i ii) e (ho_14611 u ii)))))))))) (let ((_let_1439 (forall ((x |u_(-> _u_(-> tptp.produc6945250483304103390nt_int Bool)_ tptp.set_Pr6123067485828015636nt_int)|) (y |u_(-> _u_(-> tptp.produc6945250483304103390nt_int Bool)_ tptp.set_Pr6123067485828015636nt_int)|)) (or (not (forall ((z |u_(-> tptp.produc6945250483304103390nt_int Bool)|)) (= (ho_14611 x z) (ho_14611 y z)))) (= x y))))) (let ((_let_1440 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_11136 v ii) (ite (= i ii) e (ho_11136 u ii)))))))))) (let ((_let_1441 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_11136 x z) (ho_11136 y z)))) (= x y))))) (let ((_let_1442 (forall ((u |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr4334478416066269672t_unit)) (not (forall ((v |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr4334478416066269672t_unit)) (= (ho_14924 v ii) (ite (= i ii) e (ho_14924 u ii)))))))))) (let ((_let_1443 (forall ((x |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|) (y |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr4334478416066269672t_unit)) (= (ho_14924 x z) (ho_14924 y z)))) (= x y))))) (let ((_let_1444 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.produc6945250483304103390nt_int Bool)|) (e |u_(-> tptp.produc6945250483304103390nt_int Bool)|) (i |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.produc6945250483304103390nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (= (ho_14609 v ii) (ite (= i ii) e (ho_14609 u ii)))))))))) (let ((_let_1445 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.produc6945250483304103390nt_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.produc6945250483304103390nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (= (ho_14609 x z) (ho_14609 y z)))) (= x y))))) (let ((_let_1446 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_14363 v ii) (ite (= i ii) e (ho_14363 u ii)))))))))) (let ((_let_1447 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_14363 x z) (ho_14363 y z)))) (= x y))))) (let ((_let_1448 (forall ((u |u_(-> tptp.produc6945250483304103390nt_int Bool)|) (e Bool) (i tptp.produc6945250483304103390nt_int)) (not (forall ((v |u_(-> tptp.produc6945250483304103390nt_int Bool)|)) (not (forall ((ii tptp.produc6945250483304103390nt_int)) (= (ho_16159 v ii) (ite (= i ii) e (ho_16159 u ii)))))))))) (let ((_let_1449 (forall ((x |u_(-> tptp.produc6945250483304103390nt_int Bool)|) (y |u_(-> tptp.produc6945250483304103390nt_int Bool)|)) (or (not (forall ((z tptp.produc6945250483304103390nt_int)) (= (ho_16159 x z) (ho_16159 y z)))) (= x y))))) (let ((_let_1450 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_4533 v ii) (ite (= i ii) e (ho_4533 u ii)))))))))) (let ((_let_1451 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_4533 x z) (ho_4533 y z)))) (= x y))))) (let ((_let_1452 (forall ((u |u_(-> _u_(-> tptp.produc7248412053542808358at_nat Bool)_ tptp.set_Pr7717912310451564380at_nat)|) (e tptp.set_Pr7717912310451564380at_nat) (i |u_(-> tptp.produc7248412053542808358at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7248412053542808358at_nat Bool)_ tptp.set_Pr7717912310451564380at_nat)|)) (not (forall ((ii |u_(-> tptp.produc7248412053542808358at_nat Bool)|)) (= (ho_14604 v ii) (ite (= i ii) e (ho_14604 u ii)))))))))) (let ((_let_1453 (forall ((x |u_(-> _u_(-> tptp.produc7248412053542808358at_nat Bool)_ tptp.set_Pr7717912310451564380at_nat)|) (y |u_(-> _u_(-> tptp.produc7248412053542808358at_nat Bool)_ tptp.set_Pr7717912310451564380at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc7248412053542808358at_nat Bool)|)) (= (ho_14604 x z) (ho_14604 y z)))) (= x y))))) (let ((_let_1454 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.produc7248412053542808358at_nat Bool)|) (e |u_(-> tptp.produc7248412053542808358at_nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.produc7248412053542808358at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14602 v ii) (ite (= i ii) e (ho_14602 u ii)))))))))) (let ((_let_1455 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.produc7248412053542808358at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.produc7248412053542808358at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14602 x z) (ho_14602 y z)))) (= x y))))) (let ((_let_1456 (forall ((u |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_4924 v ii) (ite (= i ii) e (ho_4924 u ii)))))))))) (let ((_let_1457 (forall ((x |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4924 x z) (ho_4924 y z)))) (= x y))))) (let ((_let_1458 (forall ((u |u_(-> tptp.produc7248412053542808358at_nat Bool)|) (e Bool) (i tptp.produc7248412053542808358at_nat)) (not (forall ((v |u_(-> tptp.produc7248412053542808358at_nat Bool)|)) (not (forall ((ii tptp.produc7248412053542808358at_nat)) (= (ho_16158 v ii) (ite (= i ii) e (ho_16158 u ii)))))))))) (let ((_let_1459 (forall ((x |u_(-> tptp.produc7248412053542808358at_nat Bool)|) (y |u_(-> tptp.produc7248412053542808358at_nat Bool)|)) (or (not (forall ((z tptp.produc7248412053542808358at_nat)) (= (ho_16158 x z) (ho_16158 y z)))) (= x y))))) (let ((_let_1460 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|) (e |u_(-> tptp.char tptp.product_unit)|) (i |u_(-> tptp.product_unit tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.char)|)) (= (ho_7239 v ii) (ite (= i ii) e (ho_7239 u ii)))))))))) (let ((_let_1461 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.char)|)) (= (ho_7239 x z) (ho_7239 y z)))) (= x y))))) (let ((_let_1462 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.produc556289286640904991nt_int Bool)|) (e |u_(-> tptp.produc556289286640904991nt_int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.produc556289286640904991nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (= (ho_14595 v ii) (ite (= i ii) e (ho_14595 u ii)))))))))) (let ((_let_1463 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.produc556289286640904991nt_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.produc556289286640904991nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (= (ho_14595 x z) (ho_14595 y z)))) (= x y))))) (let ((_let_1464 (forall ((u |u_(-> tptp.produc556289286640904991nt_int Bool)|) (e Bool) (i tptp.produc556289286640904991nt_int)) (not (forall ((v |u_(-> tptp.produc556289286640904991nt_int Bool)|)) (not (forall ((ii tptp.produc556289286640904991nt_int)) (= (ho_16157 v ii) (ite (= i ii) e (ho_16157 u ii)))))))))) (let ((_let_1465 (forall ((x |u_(-> tptp.produc556289286640904991nt_int Bool)|) (y |u_(-> tptp.produc556289286640904991nt_int Bool)|)) (or (not (forall ((z tptp.produc556289286640904991nt_int)) (= (ho_16157 x z) (ho_16157 y z)))) (= x y))))) (let ((_let_1466 (forall ((u |u_(-> _u_(-> tptp.produc8373899037510109440at_nat Bool)_ tptp.set_Pr2539167527615954998at_nat)|) (e tptp.set_Pr2539167527615954998at_nat) (i |u_(-> tptp.produc8373899037510109440at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8373899037510109440at_nat Bool)_ tptp.set_Pr2539167527615954998at_nat)|)) (not (forall ((ii |u_(-> tptp.produc8373899037510109440at_nat Bool)|)) (= (ho_14590 v ii) (ite (= i ii) e (ho_14590 u ii)))))))))) (let ((_let_1467 (forall ((x |u_(-> _u_(-> tptp.produc8373899037510109440at_nat Bool)_ tptp.set_Pr2539167527615954998at_nat)|) (y |u_(-> _u_(-> tptp.produc8373899037510109440at_nat Bool)_ tptp.set_Pr2539167527615954998at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc8373899037510109440at_nat Bool)|)) (= (ho_14590 x z) (ho_14590 y z)))) (= x y))))) (let ((_let_1468 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|) (e tptp.int) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14577 v ii) (ite (= i ii) e (ho_14577 u ii)))))))))) (let ((_let_1469 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14577 x z) (ho_14577 y z)))) (= x y))))) (let ((_let_1470 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14575 v ii) (ite (= i ii) e (ho_14575 u ii)))))))))) (let ((_let_1471 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14575 x z) (ho_14575 y z)))) (= x y))))) (let ((_let_1472 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5751 v ii) (ite (= i ii) e (ho_5751 u ii)))))))))) (let ((_let_1473 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5751 x z) (ho_5751 y z)))) (= x y))))) (let ((_let_1474 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)_ tptp.set_nat tptp.set_se4826145725398303499at_num)|) (e |u_(-> tptp.set_nat tptp.set_se4826145725398303499at_num)|) (i |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)_ tptp.set_nat tptp.set_se4826145725398303499at_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (= (ho_14570 v ii) (ite (= i ii) e (ho_14570 u ii)))))))))) (let ((_let_1475 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)_ tptp.set_nat tptp.set_se4826145725398303499at_num)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)_ tptp.set_nat tptp.set_se4826145725398303499at_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (= (ho_14570 x z) (ho_14570 y z)))) (= x y))))) (let ((_let_1476 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.set_Pr3448869479623346877nt_nat Bool)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat Bool)|) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.set_Pr3448869479623346877nt_nat Bool)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_14568 v ii) (ite (= i ii) e (ho_14568 u ii)))))))))) (let ((_let_1477 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.set_Pr3448869479623346877nt_nat Bool)|) (y |u_(-> tptp.product_prod_int_nat tptp.set_Pr3448869479623346877nt_nat Bool)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_14568 x z) (ho_14568 y z)))) (= x y))))) (let ((_let_1478 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|)) (not (forall ((ii tptp.set_int)) (= (ho_14559 v ii) (ite (= i ii) e (ho_14559 u ii)))))))))) (let ((_let_1479 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14559 x z) (ho_14559 y z)))) (= x y))))) (let ((_let_1480 (forall ((u |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o Bool)|) (i tptp.product_prod_nat_o)) (not (forall ((v |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|)) (not (forall ((ii tptp.product_prod_nat_o)) (= (ho_14554 v ii) (ite (= i ii) e (ho_14554 u ii)))))))))) (let ((_let_1481 (forall ((x |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|) (y |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o Bool)|)) (or (not (forall ((z tptp.product_prod_nat_o)) (= (ho_14554 x z) (ho_14554 y z)))) (= x y))))) (let ((_let_1482 (forall ((u |u_(-> tptp.set_Pr3149072824959771635_nat_o Bool)|) (e Bool) (i tptp.set_Pr3149072824959771635_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr3149072824959771635_nat_o Bool)|)) (not (forall ((ii tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14555 v ii) (ite (= i ii) e (ho_14555 u ii)))))))))) (let ((_let_1483 (forall ((x |u_(-> tptp.set_Pr3149072824959771635_nat_o Bool)|) (y |u_(-> tptp.set_Pr3149072824959771635_nat_o Bool)|)) (or (not (forall ((z tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14555 x z) (ho_14555 y z)))) (= x y))))) (let ((_let_1484 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5959 v ii) (ite (= i ii) e (ho_5959 u ii)))))))))) (let ((_let_1485 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5959 x z) (ho_5959 y z)))) (= x y))))) (let ((_let_1486 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14549 v ii) (ite (= i ii) e (ho_14549 u ii)))))))))) (let ((_let_1487 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14549 x z) (ho_14549 y z)))) (= x y))))) (let ((_let_1488 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|) (e tptp.set_Pr3149072824959771635_nat_o) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_14550 v ii) (ite (= i ii) e (ho_14550 u ii)))))))))) (let ((_let_1489 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_Pr3149072824959771635_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_14550 x z) (ho_14550 y z)))) (= x y))))) (let ((_let_1490 (forall ((u |u_(-> Bool tptp.int tptp.product_prod_o_int)|) (e |u_(-> tptp.int tptp.product_prod_o_int)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.int tptp.product_prod_o_int)|)) (not (forall ((ii Bool)) (= (ho_14543 v ii) (ite (= i ii) e (ho_14543 u ii)))))))))) (let ((_let_1491 (forall ((x |u_(-> Bool tptp.int tptp.product_prod_o_int)|) (y |u_(-> Bool tptp.int tptp.product_prod_o_int)|)) (or (not (forall ((z Bool)) (= (ho_14543 x z) (ho_14543 y z)))) (= x y))))) (let ((_let_1492 (forall ((u |u_(-> tptp.int tptp.product_prod_o_int)|) (e tptp.product_prod_o_int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_o_int)|)) (not (forall ((ii tptp.int)) (= (ho_14544 v ii) (ite (= i ii) e (ho_14544 u ii)))))))))) (let ((_let_1493 (forall ((x |u_(-> tptp.int tptp.product_prod_o_int)|) (y |u_(-> tptp.int tptp.product_prod_o_int)|)) (or (not (forall ((z tptp.int)) (= (ho_14544 x z) (ho_14544 y z)))) (= x y))))) (let ((_let_1494 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|) (e tptp.produc1906917888121415911at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_13796 v ii) (ite (= i ii) e (ho_13796 u ii)))))))))) (let ((_let_1495 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_13796 x z) (ho_13796 y z)))) (= x y))))) (let ((_let_1496 (forall ((u |u_(-> tptp.set_Pr8834758594704517033_o_int Bool)|) (e Bool) (i tptp.set_Pr8834758594704517033_o_int)) (not (forall ((v |u_(-> tptp.set_Pr8834758594704517033_o_int Bool)|)) (not (forall ((ii tptp.set_Pr8834758594704517033_o_int)) (= (ho_14547 v ii) (ite (= i ii) e (ho_14547 u ii)))))))))) (let ((_let_1497 (forall ((x |u_(-> tptp.set_Pr8834758594704517033_o_int Bool)|) (y |u_(-> tptp.set_Pr8834758594704517033_o_int Bool)|)) (or (not (forall ((z tptp.set_Pr8834758594704517033_o_int)) (= (ho_14547 x z) (ho_14547 y z)))) (= x y))))) (let ((_let_1498 (forall ((u |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7274 v ii) (ite (= i ii) e (ho_7274 u ii)))))))))) (let ((_let_1499 (forall ((x |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7274 x z) (ho_7274 y z)))) (= x y))))) (let ((_let_1500 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|) (e Bool) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_13799 v ii) (ite (= i ii) e (ho_13799 u ii)))))))))) (let ((_let_1501 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_13799 x z) (ho_13799 y z)))) (= x y))))) (let ((_let_1502 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|)) (not (forall ((ii tptp.set_o)) (= (ho_14540 v ii) (ite (= i ii) e (ho_14540 u ii)))))))))) (let ((_let_1503 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14540 x z) (ho_14540 y z)))) (= x y))))) (let ((_let_1504 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|) (e tptp.set_Pr8834758594704517033_o_int) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_14541 v ii) (ite (= i ii) e (ho_14541 u ii)))))))))) (let ((_let_1505 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_Pr8834758594704517033_o_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_14541 x z) (ho_14541 y z)))) (= x y))))) (let ((_let_1506 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat Bool)|) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_14537 v ii) (ite (= i ii) e (ho_14537 u ii)))))))))) (let ((_let_1507 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|) (y |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat Bool)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_14537 x z) (ho_14537 y z)))) (= x y))))) (let ((_let_1508 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.char tptp.product_unit)|) (i |u_(-> tptp.product_unit tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.char)|)) (= (ho_7234 v ii) (ite (= i ii) e (ho_7234 u ii)))))))))) (let ((_let_1509 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.char)|)) (= (ho_7234 x z) (ho_7234 y z)))) (= x y))))) (let ((_let_1510 (forall ((u |u_(-> Bool tptp.nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.nat tptp.product_prod_o_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((ii Bool)) (= (ho_14534 v ii) (ite (= i ii) e (ho_14534 u ii)))))))))) (let ((_let_1511 (forall ((x |u_(-> Bool tptp.nat tptp.product_prod_o_nat)|) (y |u_(-> Bool tptp.nat tptp.product_prod_o_nat)|)) (or (not (forall ((z Bool)) (= (ho_14534 x z) (ho_14534 y z)))) (= x y))))) (let ((_let_1512 (forall ((u |u_(-> tptp.set_Pr2101469702781467981_o_nat Bool)|) (e Bool) (i tptp.set_Pr2101469702781467981_o_nat)) (not (forall ((v |u_(-> tptp.set_Pr2101469702781467981_o_nat Bool)|)) (not (forall ((ii tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14538 v ii) (ite (= i ii) e (ho_14538 u ii)))))))))) (let ((_let_1513 (forall ((x |u_(-> tptp.set_Pr2101469702781467981_o_nat Bool)|) (y |u_(-> tptp.set_Pr2101469702781467981_o_nat Bool)|)) (or (not (forall ((z tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14538 x z) (ho_14538 y z)))) (= x y))))) (let ((_let_1514 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_14516 v ii) (ite (= i ii) e (ho_14516 u ii)))))))))) (let ((_let_1515 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_14516 x z) (ho_14516 y z)))) (= x y))))) (let ((_let_1516 (forall ((u |u_(-> tptp.set_nat tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.int Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7557 v ii) (ite (= i ii) e (ho_7557 u ii)))))))))) (let ((_let_1517 (forall ((x |u_(-> tptp.set_nat tptp.int Bool)|) (y |u_(-> tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7557 x z) (ho_7557 y z)))) (= x y))))) (let ((_let_1518 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_14531 v ii) (ite (= i ii) e (ho_14531 u ii)))))))))) (let ((_let_1519 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14531 x z) (ho_14531 y z)))) (= x y))))) (let ((_let_1520 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|) (e tptp.set_Pr2101469702781467981_o_nat) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_14532 v ii) (ite (= i ii) e (ho_14532 u ii)))))))))) (let ((_let_1521 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_Pr2101469702781467981_o_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_14532 x z) (ho_14532 y z)))) (= x y))))) (let ((_let_1522 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9722 v ii) (ite (= i ii) e (ho_9722 u ii)))))))))) (let ((_let_1523 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9722 x z) (ho_9722 y z)))) (= x y))))) (let ((_let_1524 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_14528 v ii) (ite (= i ii) e (ho_14528 u ii)))))))))) (let ((_let_1525 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14528 x z) (ho_14528 y z)))) (= x y))))) (let ((_let_1526 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|) (e tptp.set_Product_prod_o_o) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_14529 v ii) (ite (= i ii) e (ho_14529 u ii)))))))))) (let ((_let_1527 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_Product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_14529 x z) (ho_14529 y z)))) (= x y))))) (let ((_let_1528 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_14521 v ii) (ite (= i ii) e (ho_14521 u ii)))))))))) (let ((_let_1529 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_14521 x z) (ho_14521 y z)))) (= x y))))) (let ((_let_1530 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (e |u_(-> tptp.product_unit Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4642 v ii) (ite (= i ii) e (ho_4642 u ii)))))))))) (let ((_let_1531 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4642 x z) (ho_4642 y z)))) (= x y))))) (let ((_let_1532 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|) (e |u_(-> tptp.code_integer tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_14519 v ii) (ite (= i ii) e (ho_14519 u ii)))))))))) (let ((_let_1533 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_14519 x z) (ho_14519 y z)))) (= x y))))) (let ((_let_1534 (forall ((u |u_(-> tptp.set_int tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> tptp.set_Product_unit tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8799 v ii) (ite (= i ii) e (ho_8799 u ii)))))))))) (let ((_let_1535 (forall ((x |u_(-> tptp.set_int tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> tptp.set_int tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8799 x z) (ho_8799 y z)))) (= x y))))) (let ((_let_1536 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.produc7812382424243267045t_unit)|) (e tptp.produc7812382424243267045t_unit) (i |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (= (ho_14512 v ii) (ite (= i ii) e (ho_14512 u ii)))))))))) (let ((_let_1537 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (= (ho_14512 x z) (ho_14512 y z)))) (= x y))))) (let ((_let_1538 (forall ((u |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|) (e |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_14509 v ii) (ite (= i ii) e (ho_14509 u ii)))))))))) (let ((_let_1539 (forall ((x |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_14509 x z) (ho_14509 y z)))) (= x y))))) (let ((_let_1540 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat Bool)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat Bool)|) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat Bool)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14506 v ii) (ite (= i ii) e (ho_14506 u ii)))))))))) (let ((_let_1541 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat Bool)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat Bool)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14506 x z) (ho_14506 y z)))) (= x y))))) (let ((_let_1542 (forall ((u |u_(-> tptp.set_o tptp.int tptp.set_o)|) (e |u_(-> tptp.int tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.int tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_7520 v ii) (ite (= i ii) e (ho_7520 u ii)))))))))) (let ((_let_1543 (forall ((x |u_(-> tptp.set_o tptp.int tptp.set_o)|) (y |u_(-> tptp.set_o tptp.int tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7520 x z) (ho_7520 y z)))) (= x y))))) (let ((_let_1544 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_14503 v ii) (ite (= i ii) e (ho_14503 u ii)))))))))) (let ((_let_1545 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14503 x z) (ho_14503 y z)))) (= x y))))) (let ((_let_1546 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|) (e |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_10286 v ii) (ite (= i ii) e (ho_10286 u ii)))))))))) (let ((_let_1547 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_10286 x z) (ho_10286 y z)))) (= x y))))) (let ((_let_1548 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int Bool)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int Bool)|) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int Bool)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14500 v ii) (ite (= i ii) e (ho_14500 u ii)))))))))) (let ((_let_1549 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int Bool)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int Bool)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14500 x z) (ho_14500 y z)))) (= x y))))) (let ((_let_1550 (forall ((u |u_(-> tptp.set_Pr4105333604307423337at_rat tptp.set_Pr4105333604307423337at_rat Bool)|) (e |u_(-> tptp.set_Pr4105333604307423337at_rat Bool)|) (i tptp.set_Pr4105333604307423337at_rat)) (not (forall ((v |u_(-> tptp.set_Pr4105333604307423337at_rat tptp.set_Pr4105333604307423337at_rat Bool)|)) (not (forall ((ii tptp.set_Pr4105333604307423337at_rat)) (= (ho_14494 v ii) (ite (= i ii) e (ho_14494 u ii)))))))))) (let ((_let_1551 (forall ((x |u_(-> tptp.set_Pr4105333604307423337at_rat tptp.set_Pr4105333604307423337at_rat Bool)|) (y |u_(-> tptp.set_Pr4105333604307423337at_rat tptp.set_Pr4105333604307423337at_rat Bool)|)) (or (not (forall ((z tptp.set_Pr4105333604307423337at_rat)) (= (ho_14494 x z) (ho_14494 y z)))) (= x y))))) (let ((_let_1552 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14491 v ii) (ite (= i ii) e (ho_14491 u ii)))))))))) (let ((_let_1553 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14491 x z) (ho_14491 y z)))) (= x y))))) (let ((_let_1554 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (= (ho_14488 v ii) (ite (= i ii) e (ho_14488 u ii)))))))))) (let ((_let_1555 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (= (ho_14488 x z) (ho_14488 y z)))) (= x y))))) (let ((_let_1556 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_int_int tptp.product_prod_int_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|)) (= (ho_14486 v ii) (ite (= i ii) e (ho_14486 u ii)))))))))) (let ((_let_1557 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_int_int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|)) (= (ho_14486 x z) (ho_14486 y z)))) (= x y))))) (let ((_let_1558 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|) (e tptp.product_prod_int_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_16156 v ii) (ite (= i ii) e (ho_16156 u ii)))))))))) (let ((_let_1559 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_16156 x z) (ho_16156 y z)))) (= x y))))) (let ((_let_1560 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|)) (= (ho_14481 v ii) (ite (= i ii) e (ho_14481 u ii)))))))))) (let ((_let_1561 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|)) (= (ho_14481 x z) (ho_14481 y z)))) (= x y))))) (let ((_let_1562 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (e |u_(-> Bool tptp.set_rat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_7573 v ii) (ite (= i ii) e (ho_7573 u ii)))))))))) (let ((_let_1563 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_7573 x z) (ho_7573 y z)))) (= x y))))) (let ((_let_1564 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14484 v ii) (ite (= i ii) e (ho_14484 u ii)))))))))) (let ((_let_1565 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14484 x z) (ho_14484 y z)))) (= x y))))) (let ((_let_1566 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_13829 v ii) (ite (= i ii) e (ho_13829 u ii)))))))))) (let ((_let_1567 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_13829 x z) (ho_13829 y z)))) (= x y))))) (let ((_let_1568 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (e tptp.product_prod_int_rat) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_16155 v ii) (ite (= i ii) e (ho_16155 u ii)))))))))) (let ((_let_1569 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_16155 x z) (ho_16155 y z)))) (= x y))))) (let ((_let_1570 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|) (e |u_(-> tptp.set_int tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7386 v ii) (ite (= i ii) e (ho_7386 u ii)))))))))) (let ((_let_1571 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7386 x z) (ho_7386 y z)))) (= x y))))) (let ((_let_1572 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|) (e |u_(-> tptp.product_unit tptp.set_rat)|) (i |u_(-> tptp.product_unit tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_8864 v ii) (ite (= i ii) e (ho_8864 u ii)))))))))) (let ((_let_1573 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_8864 x z) (ho_8864 y z)))) (= x y))))) (let ((_let_1574 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (= (ho_14470 v ii) (ite (= i ii) e (ho_14470 u ii)))))))))) (let ((_let_1575 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (= (ho_14470 x z) (ho_14470 y z)))) (= x y))))) (let ((_let_1576 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|)) (= (ho_14468 v ii) (ite (= i ii) e (ho_14468 u ii)))))))))) (let ((_let_1577 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|)) (= (ho_14468 x z) (ho_14468 y z)))) (= x y))))) (let ((_let_1578 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|) (e tptp.set_Pr7995236796853374141at_int) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14471 v ii) (ite (= i ii) e (ho_14471 u ii)))))))))) (let ((_let_1579 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14471 x z) (ho_14471 y z)))) (= x y))))) (let ((_let_1580 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12348 v ii) (ite (= i ii) e (ho_12348 u ii)))))))))) (let ((_let_1581 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12348 x z) (ho_12348 y z)))) (= x y))))) (let ((_let_1582 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|) (e |u_(-> tptp.nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7390 v ii) (ite (= i ii) e (ho_7390 u ii)))))))))) (let ((_let_1583 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7390 x z) (ho_7390 y z)))) (= x y))))) (let ((_let_1584 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (= (ho_14465 v ii) (ite (= i ii) e (ho_14465 u ii)))))))))) (let ((_let_1585 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (= (ho_14465 x z) (ho_14465 y z)))) (= x y))))) (let ((_let_1586 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_9861 v ii) (ite (= i ii) e (ho_9861 u ii)))))))))) (let ((_let_1587 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_nat)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_9861 x z) (ho_9861 y z)))) (= x y))))) (let ((_let_1588 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|)) (= (ho_14463 v ii) (ite (= i ii) e (ho_14463 u ii)))))))))) (let ((_let_1589 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|)) (= (ho_14463 x z) (ho_14463 y z)))) (= x y))))) (let ((_let_1590 (forall ((u |u_(-> tptp.set_nat tptp.set_se4826145725398303499at_num)|) (e tptp.set_se4826145725398303499at_num) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_se4826145725398303499at_num)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14571 v ii) (ite (= i ii) e (ho_14571 u ii)))))))))) (let ((_let_1591 (forall ((x |u_(-> tptp.set_nat tptp.set_se4826145725398303499at_num)|) (y |u_(-> tptp.set_nat tptp.set_se4826145725398303499at_num)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14571 x z) (ho_14571 y z)))) (= x y))))) (let ((_let_1592 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ Bool)_ tptp.set_nat_o)|) (e tptp.set_nat_o) (i |u_(-> _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ Bool)_ tptp.set_nat_o)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14284 v ii) (ite (= i ii) e (ho_14284 u ii)))))))))) (let ((_let_1593 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ Bool)_ tptp.set_nat_o)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ Bool)_ tptp.set_nat_o)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14284 x z) (ho_14284 y z)))) (= x y))))) (let ((_let_1594 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (e tptp.product_prod_nat_int) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_16154 v ii) (ite (= i ii) e (ho_16154 u ii)))))))))) (let ((_let_1595 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_16154 x z) (ho_16154 y z)))) (= x y))))) (let ((_let_1596 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|) (e tptp.set_Pr4105333604307423337at_rat) (i |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_14461 v ii) (ite (= i ii) e (ho_14461 u ii)))))))))) (let ((_let_1597 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_14461 x z) (ho_14461 y z)))) (= x y))))) (let ((_let_1598 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (= (ho_14457 v ii) (ite (= i ii) e (ho_14457 u ii)))))))))) (let ((_let_1599 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr4105333604307423337at_rat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (= (ho_14457 x z) (ho_14457 y z)))) (= x y))))) (let ((_let_1600 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|) (e tptp.set_Pr6292255179000445125nt_rat) (i |u_(-> tptp.int tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_rat)|)) (= (ho_14479 v ii) (ite (= i ii) e (ho_14479 u ii)))))))))) (let ((_let_1601 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|) (y |u_(-> _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_rat)|)) (= (ho_14479 x z) (ho_14479 y z)))) (= x y))))) (let ((_let_1602 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (i |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (= (ho_14455 v ii) (ite (= i ii) e (ho_14455 u ii)))))))))) (let ((_let_1603 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)_ tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (= (ho_14455 x z) (ho_14455 y z)))) (= x y))))) (let ((_let_1604 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (e tptp.product_prod_nat_rat) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_16153 v ii) (ite (= i ii) e (ho_16153 u ii)))))))))) (let ((_let_1605 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_16153 x z) (ho_16153 y z)))) (= x y))))) (let ((_let_1606 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (= (ho_14449 v ii) (ite (= i ii) e (ho_14449 u ii)))))))))) (let ((_let_1607 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (= (ho_14449 x z) (ho_14449 y z)))) (= x y))))) (let ((_let_1608 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (e tptp.product_prod_int_nat) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_16152 v ii) (ite (= i ii) e (ho_16152 u ii)))))))))) (let ((_let_1609 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_16152 x z) (ho_16152 y z)))) (= x y))))) (let ((_let_1610 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8268 v ii) (ite (= i ii) e (ho_8268 u ii)))))))))) (let ((_let_1611 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8268 x z) (ho_8268 y z)))) (= x y))))) (let ((_let_1612 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|) (e |u_(-> _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|)) (not (forall ((ii tptp.set_rat)) (= (ho_14439 v ii) (ite (= i ii) e (ho_14439 u ii)))))))))) (let ((_let_1613 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|) (y |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_14439 x z) (ho_14439 y z)))) (= x y))))) (let ((_let_1614 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (= (ho_14436 v ii) (ite (= i ii) e (ho_14436 u ii)))))))))) (let ((_let_1615 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (= (ho_14436 x z) (ho_14436 y z)))) (= x y))))) (let ((_let_1616 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_11079 v ii) (ite (= i ii) e (ho_11079 u ii)))))))))) (let ((_let_1617 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_11079 x z) (ho_11079 y z)))) (= x y))))) (let ((_let_1618 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (e tptp.product_prod_rat_int) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_16151 v ii) (ite (= i ii) e (ho_16151 u ii)))))))))) (let ((_let_1619 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_16151 x z) (ho_16151 y z)))) (= x y))))) (let ((_let_1620 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (= (ho_15288 v ii) (ite (= i ii) e (ho_15288 u ii)))))))))) (let ((_let_1621 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (= (ho_15288 x z) (ho_15288 y z)))) (= x y))))) (let ((_let_1622 (forall ((u |u_(-> tptp.set_Pr4105333604307423337at_rat Bool)|) (e Bool) (i tptp.set_Pr4105333604307423337at_rat)) (not (forall ((v |u_(-> tptp.set_Pr4105333604307423337at_rat Bool)|)) (not (forall ((ii tptp.set_Pr4105333604307423337at_rat)) (= (ho_14495 v ii) (ite (= i ii) e (ho_14495 u ii)))))))))) (let ((_let_1623 (forall ((x |u_(-> tptp.set_Pr4105333604307423337at_rat Bool)|) (y |u_(-> tptp.set_Pr4105333604307423337at_rat Bool)|)) (or (not (forall ((z tptp.set_Pr4105333604307423337at_rat)) (= (ho_14495 x z) (ho_14495 y z)))) (= x y))))) (let ((_let_1624 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|) (e tptp.set_Pr3594552606344371909at_int) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14437 v ii) (ite (= i ii) e (ho_14437 u ii)))))))))) (let ((_let_1625 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3594552606344371909at_int)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14437 x z) (ho_14437 y z)))) (= x y))))) (let ((_let_1626 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> Bool tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_nat_nat)|)) (= (ho_15908 v ii) (ite (= i ii) e (ho_15908 u ii)))))))))) (let ((_let_1627 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_nat_nat)|)) (= (ho_15908 x z) (ho_15908 y z)))) (= x y))))) (let ((_let_1628 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (i |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (= (ho_14426 v ii) (ite (= i ii) e (ho_14426 u ii)))))))))) (let ((_let_1629 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)_ tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (= (ho_14426 x z) (ho_14426 y z)))) (= x y))))) (let ((_let_1630 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (e tptp.product_prod_rat_nat) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_16150 v ii) (ite (= i ii) e (ho_16150 u ii)))))))))) (let ((_let_1631 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_16150 x z) (ho_16150 y z)))) (= x y))))) (let ((_let_1632 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7375 v ii) (ite (= i ii) e (ho_7375 u ii)))))))))) (let ((_let_1633 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7375 x z) (ho_7375 y z)))) (= x y))))) (let ((_let_1634 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_14414 v ii) (ite (= i ii) e (ho_14414 u ii)))))))))) (let ((_let_1635 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_14414 x z) (ho_14414 y z)))) (= x y))))) (let ((_let_1636 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_16149 v ii) (ite (= i ii) e (ho_16149 u ii)))))))))) (let ((_let_1637 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_16149 x z) (ho_16149 y z)))) (= x y))))) (let ((_let_1638 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_14410 v ii) (ite (= i ii) e (ho_14410 u ii)))))))))) (let ((_let_1639 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_14410 x z) (ho_14410 y z)))) (= x y))))) (let ((_let_1640 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_14402 v ii) (ite (= i ii) e (ho_14402 u ii)))))))))) (let ((_let_1641 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_14402 x z) (ho_14402 y z)))) (= x y))))) (let ((_let_1642 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_14397 v ii) (ite (= i ii) e (ho_14397 u ii)))))))))) (let ((_let_1643 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_14397 x z) (ho_14397 y z)))) (= x y))))) (let ((_let_1644 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> Bool tptp.char)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_int)|) (i |u_(-> tptp.char tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> Bool tptp.char)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_int)|)) (= (ho_14394 v ii) (ite (= i ii) e (ho_14394 u ii)))))))))) (let ((_let_1645 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> Bool tptp.char)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> Bool tptp.char)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_int)|)) (= (ho_14394 x z) (ho_14394 y z)))) (= x y))))) (let ((_let_1646 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_int)|) (e |u_(-> Bool tptp.set_int)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_14395 v ii) (ite (= i ii) e (ho_14395 u ii)))))))))) (let ((_let_1647 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_14395 x z) (ho_14395 y z)))) (= x y))))) (let ((_let_1648 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_14398 v ii) (ite (= i ii) e (ho_14398 u ii)))))))))) (let ((_let_1649 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_14398 x z) (ho_14398 y z)))) (= x y))))) (let ((_let_1650 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|) (i |u_(-> tptp.char tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14391 v ii) (ite (= i ii) e (ho_14391 u ii)))))))))) (let ((_let_1651 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14391 x z) (ho_14391 y z)))) (= x y))))) (let ((_let_1652 (forall ((u |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.char)|)) (= (ho_14392 v ii) (ite (= i ii) e (ho_14392 u ii)))))))))) (let ((_let_1653 (forall ((x |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.char)|)) (= (ho_14392 x z) (ho_14392 y z)))) (= x y))))) (let ((_let_1654 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|) (i |u_(-> tptp.char tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14388 v ii) (ite (= i ii) e (ho_14388 u ii)))))))))) (let ((_let_1655 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14388 x z) (ho_14388 y z)))) (= x y))))) (let ((_let_1656 (forall ((u |u_(-> _u_(-> tptp.num tptp.set_nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|) (i |u_(-> tptp.num tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.set_nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.set_nat)|)) (= (ho_14383 v ii) (ite (= i ii) e (ho_14383 u ii)))))))))) (let ((_let_1657 (forall ((x |u_(-> _u_(-> tptp.num tptp.set_nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.num tptp.set_nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.set_nat)|)) (= (ho_14383 x z) (ho_14383 y z)))) (= x y))))) (let ((_let_1658 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7716 v ii) (ite (= i ii) e (ho_7716 u ii)))))))))) (let ((_let_1659 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7716 x z) (ho_7716 y z)))) (= x y))))) (let ((_let_1660 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|) (i |u_(-> tptp.char tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14373 v ii) (ite (= i ii) e (ho_14373 u ii)))))))))) (let ((_let_1661 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14373 x z) (ho_14373 y z)))) (= x y))))) (let ((_let_1662 (forall ((u |u_(-> tptp.product_unit Bool tptp.product_unit Bool)|) (e |u_(-> Bool tptp.product_unit Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool tptp.product_unit Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15764 v ii) (ite (= i ii) e (ho_15764 u ii)))))))))) (let ((_let_1663 (forall ((x |u_(-> tptp.product_unit Bool tptp.product_unit Bool)|) (y |u_(-> tptp.product_unit Bool tptp.product_unit Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15764 x z) (ho_15764 y z)))) (= x y))))) (let ((_let_1664 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_14374 v ii) (ite (= i ii) e (ho_14374 u ii)))))))))) (let ((_let_1665 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_14374 x z) (ho_14374 y z)))) (= x y))))) (let ((_let_1666 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.int)|) (e tptp.int) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.int)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_14663 v ii) (ite (= i ii) e (ho_14663 u ii)))))))))) (let ((_let_1667 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.int)|) (y |u_(-> tptp.product_prod_int_nat tptp.int)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_14663 x z) (ho_14663 y z)))) (= x y))))) (let ((_let_1668 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|) (e |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|) (i |u_(-> tptp.char tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14370 v ii) (ite (= i ii) e (ho_14370 u ii)))))))))) (let ((_let_1669 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14370 x z) (ho_14370 y z)))) (= x y))))) (let ((_let_1670 (forall ((u |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|) (e |u_(-> tptp.int tptp.set_rat)|) (i |u_(-> tptp.int tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.char)|)) (= (ho_14371 v ii) (ite (= i ii) e (ho_14371 u ii)))))))))) (let ((_let_1671 (forall ((x |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.char)|)) (= (ho_14371 x z) (ho_14371 y z)))) (= x y))))) (let ((_let_1672 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10100 v ii) (ite (= i ii) e (ho_10100 u ii)))))))))) (let ((_let_1673 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10100 x z) (ho_10100 y z)))) (= x y))))) (let ((_let_1674 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|) (i |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_14366 v ii) (ite (= i ii) e (ho_14366 u ii)))))))))) (let ((_let_1675 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_14366 x z) (ho_14366 y z)))) (= x y))))) (let ((_let_1676 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_13489 v ii) (ite (= i ii) e (ho_13489 u ii)))))))))) (let ((_let_1677 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_13489 x z) (ho_13489 y z)))) (= x y))))) (let ((_let_1678 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|) (i |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_14356 v ii) (ite (= i ii) e (ho_14356 u ii)))))))))) (let ((_let_1679 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_14356 x z) (ho_14356 y z)))) (= x y))))) (let ((_let_1680 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_13515 v ii) (ite (= i ii) e (ho_13515 u ii)))))))))) (let ((_let_1681 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_13515 x z) (ho_13515 y z)))) (= x y))))) (let ((_let_1682 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (= (ho_10091 v ii) (ite (= i ii) e (ho_10091 u ii)))))))))) (let ((_let_1683 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (= (ho_10091 x z) (ho_10091 y z)))) (= x y))))) (let ((_let_1684 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|) (e |u_(-> tptp.int tptp.set_rat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_14357 v ii) (ite (= i ii) e (ho_14357 u ii)))))))))) (let ((_let_1685 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_14357 x z) (ho_14357 y z)))) (= x y))))) (let ((_let_1686 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|) (e |u_(-> tptp.product_prod_nat_num Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_8989 v ii) (ite (= i ii) e (ho_8989 u ii)))))))))) (let ((_let_1687 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_8989 x z) (ho_8989 y z)))) (= x y))))) (let ((_let_1688 (forall ((u |u_(-> _u_(-> tptp.num tptp.set_rat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|) (i |u_(-> tptp.num tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.set_rat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.num tptp.set_rat)|)) (= (ho_14352 v ii) (ite (= i ii) e (ho_14352 u ii)))))))))) (let ((_let_1689 (forall ((x |u_(-> _u_(-> tptp.num tptp.set_rat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.num tptp.set_rat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.set_rat)|)) (= (ho_14352 x z) (ho_14352 y z)))) (= x y))))) (let ((_let_1690 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|) (e |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|) (i |u_(-> tptp.char tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14349 v ii) (ite (= i ii) e (ho_14349 u ii)))))))))) (let ((_let_1691 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|) (y |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14349 x z) (ho_14349 y z)))) (= x y))))) (let ((_let_1692 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (= (ho_10072 v ii) (ite (= i ii) e (ho_10072 u ii)))))))))) (let ((_let_1693 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (= (ho_10072 x z) (ho_10072 y z)))) (= x y))))) (let ((_let_1694 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.int Bool)|) (e |u_(-> tptp.nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14744 v ii) (ite (= i ii) e (ho_14744 u ii)))))))))) (let ((_let_1695 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14744 x z) (ho_14744 y z)))) (= x y))))) (let ((_let_1696 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5684 v ii) (ite (= i ii) e (ho_5684 u ii)))))))))) (let ((_let_1697 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5684 x z) (ho_5684 y z)))) (= x y))))) (let ((_let_1698 (forall ((u |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|) (e |u_(-> tptp.num tptp.set_rat)|) (i |u_(-> tptp.num tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.num tptp.char)|)) (= (ho_14350 v ii) (ite (= i ii) e (ho_14350 u ii)))))))))) (let ((_let_1699 (forall ((x |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|) (y |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.char)|)) (= (ho_14350 x z) (ho_14350 y z)))) (= x y))))) (let ((_let_1700 (forall ((u |u_(-> tptp.num tptp.set_rat)|) (e tptp.set_rat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_rat)|)) (not (forall ((ii tptp.num)) (= (ho_16148 v ii) (ite (= i ii) e (ho_16148 u ii)))))))))) (let ((_let_1701 (forall ((x |u_(-> tptp.num tptp.set_rat)|) (y |u_(-> tptp.num tptp.set_rat)|)) (or (not (forall ((z tptp.num)) (= (ho_16148 x z) (ho_16148 y z)))) (= x y))))) (let ((_let_1702 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (i |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_14345 v ii) (ite (= i ii) e (ho_14345 u ii)))))))))) (let ((_let_1703 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_14345 x z) (ho_14345 y z)))) (= x y))))) (let ((_let_1704 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_14342 v ii) (ite (= i ii) e (ho_14342 u ii)))))))))) (let ((_let_1705 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_14342 x z) (ho_14342 y z)))) (= x y))))) (let ((_let_1706 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|) (e |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|) (i |u_(-> tptp.char tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14336 v ii) (ite (= i ii) e (ho_14336 u ii)))))))))) (let ((_let_1707 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|) (y |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14336 x z) (ho_14336 y z)))) (= x y))))) (let ((_let_1708 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (= (ho_14331 v ii) (ite (= i ii) e (ho_14331 u ii)))))))))) (let ((_let_1709 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (= (ho_14331 x z) (ho_14331 y z)))) (= x y))))) (let ((_let_1710 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (= (ho_14334 v ii) (ite (= i ii) e (ho_14334 u ii)))))))))) (let ((_let_1711 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (= (ho_14334 x z) (ho_14334 y z)))) (= x y))))) (let ((_let_1712 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7568 v ii) (ite (= i ii) e (ho_7568 u ii)))))))))) (let ((_let_1713 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7568 x z) (ho_7568 y z)))) (= x y))))) (let ((_let_1714 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14328 v ii) (ite (= i ii) e (ho_14328 u ii)))))))))) (let ((_let_1715 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14328 x z) (ho_14328 y z)))) (= x y))))) (let ((_let_1716 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10260 v ii) (ite (= i ii) e (ho_10260 u ii)))))))))) (let ((_let_1717 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10260 x z) (ho_10260 y z)))) (= x y))))) (let ((_let_1718 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_14329 v ii) (ite (= i ii) e (ho_14329 u ii)))))))))) (let ((_let_1719 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_14329 x z) (ho_14329 y z)))) (= x y))))) (let ((_let_1720 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (= (ho_14143 v ii) (ite (= i ii) e (ho_14143 u ii)))))))))) (let ((_let_1721 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (= (ho_14143 x z) (ho_14143 y z)))) (= x y))))) (let ((_let_1722 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|) (e |u_(-> tptp.char tptp.char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13554 v ii) (ite (= i ii) e (ho_13554 u ii)))))))))) (let ((_let_1723 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13554 x z) (ho_13554 y z)))) (= x y))))) (let ((_let_1724 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (= (ho_14325 v ii) (ite (= i ii) e (ho_14325 u ii)))))))))) (let ((_let_1725 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (= (ho_14325 x z) (ho_14325 y z)))) (= x y))))) (let ((_let_1726 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)_ tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|) (e |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)_ tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (= (ho_14323 v ii) (ite (= i ii) e (ho_14323 u ii)))))))))) (let ((_let_1727 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)_ tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)_ tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (= (ho_14323 x z) (ho_14323 y z)))) (= x y))))) (let ((_let_1728 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (e |u_(-> tptp.ref_a Bool)|) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16147 v ii) (ite (= i ii) e (ho_16147 u ii)))))))))) (let ((_let_1729 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16147 x z) (ho_16147 y z)))) (= x y))))) (let ((_let_1730 (forall ((u |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|) (e |u_(-> tptp.produc7812382424243267045t_unit Bool)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_16146 v ii) (ite (= i ii) e (ho_16146 u ii)))))))))) (let ((_let_1731 (forall ((x |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|) (y |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_16146 x z) (ho_16146 y z)))) (= x y))))) (let ((_let_1732 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_6594 v ii) (ite (= i ii) e (ho_6594 u ii)))))))))) (let ((_let_1733 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_6594 x z) (ho_6594 y z)))) (= x y))))) (let ((_let_1734 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_15289 v ii) (ite (= i ii) e (ho_15289 u ii)))))))))) (let ((_let_1735 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_15289 x z) (ho_15289 y z)))) (= x y))))) (let ((_let_1736 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14326 v ii) (ite (= i ii) e (ho_14326 u ii)))))))))) (let ((_let_1737 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14326 x z) (ho_14326 y z)))) (= x y))))) (let ((_let_1738 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_11994 v ii) (ite (= i ii) e (ho_11994 u ii)))))))))) (let ((_let_1739 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_11994 x z) (ho_11994 y z)))) (= x y))))) (let ((_let_1740 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_14317 v ii) (ite (= i ii) e (ho_14317 u ii)))))))))) (let ((_let_1741 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_14317 x z) (ho_14317 y z)))) (= x y))))) (let ((_let_1742 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14314 v ii) (ite (= i ii) e (ho_14314 u ii)))))))))) (let ((_let_1743 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14314 x z) (ho_14314 y z)))) (= x y))))) (let ((_let_1744 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_14312 v ii) (ite (= i ii) e (ho_14312 u ii)))))))))) (let ((_let_1745 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_14312 x z) (ho_14312 y z)))) (= x y))))) (let ((_let_1746 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14309 v ii) (ite (= i ii) e (ho_14309 u ii)))))))))) (let ((_let_1747 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14309 x z) (ho_14309 y z)))) (= x y))))) (let ((_let_1748 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ Bool)_ tptp.set_int_num)|) (e tptp.set_int_num) (i |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ Bool)_ tptp.set_int_num)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_14304 v ii) (ite (= i ii) e (ho_14304 u ii)))))))))) (let ((_let_1749 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ Bool)_ tptp.set_int_num)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ Bool)_ tptp.set_int_num)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_14304 x z) (ho_14304 y z)))) (= x y))))) (let ((_let_1750 (forall ((u |u_(-> tptp.product_unit tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7537 v ii) (ite (= i ii) e (ho_7537 u ii)))))))))) (let ((_let_1751 (forall ((x |u_(-> tptp.product_unit tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.product_unit tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7537 x z) (ho_7537 y z)))) (= x y))))) (let ((_let_1752 (forall ((u |u_(-> _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|) (e |u_(-> tptp.set_set_int tptp.set_int)|) (i |u_(-> tptp.set_set_int tptp.set_set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_set_int tptp.set_set_int)|)) (= (ho_15107 v ii) (ite (= i ii) e (ho_15107 u ii)))))))))) (let ((_let_1753 (forall ((x |u_(-> _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_set_int tptp.set_set_int)|)) (= (ho_15107 x z) (ho_15107 y z)))) (= x y))))) (let ((_let_1754 (forall ((u |u_(-> tptp.set_int_int _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i tptp.set_int_int)) (not (forall ((v |u_(-> tptp.set_int_int _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_int_int)) (= (ho_14301 v ii) (ite (= i ii) e (ho_14301 u ii)))))))))) (let ((_let_1755 (forall ((x |u_(-> tptp.set_int_int _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> tptp.set_int_int _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_int_int)) (= (ho_14301 x z) (ho_14301 y z)))) (= x y))))) (let ((_let_1756 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ Bool)_ tptp.set_int_int)|) (e tptp.set_int_int) (i |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ Bool)_ tptp.set_int_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_14299 v ii) (ite (= i ii) e (ho_14299 u ii)))))))))) (let ((_let_1757 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ Bool)_ tptp.set_int_int)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ Bool)_ tptp.set_int_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_14299 x z) (ho_14299 y z)))) (= x y))))) (let ((_let_1758 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5985 v ii) (ite (= i ii) e (ho_5985 u ii)))))))))) (let ((_let_1759 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5985 x z) (ho_5985 y z)))) (= x y))))) (let ((_let_1760 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_14302 v ii) (ite (= i ii) e (ho_14302 u ii)))))))))) (let ((_let_1761 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_14302 x z) (ho_14302 y z)))) (= x y))))) (let ((_let_1762 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12552 v ii) (ite (= i ii) e (ho_12552 u ii)))))))))) (let ((_let_1763 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12552 x z) (ho_12552 y z)))) (= x y))))) (let ((_let_1764 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ Bool)_ tptp.set_int_nat)|) (e tptp.set_int_nat) (i |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ Bool)_ tptp.set_int_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_14294 v ii) (ite (= i ii) e (ho_14294 u ii)))))))))) (let ((_let_1765 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ Bool)_ tptp.set_int_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ Bool)_ tptp.set_int_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_14294 x z) (ho_14294 y z)))) (= x y))))) (let ((_let_1766 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_14297 v ii) (ite (= i ii) e (ho_14297 u ii)))))))))) (let ((_let_1767 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_14297 x z) (ho_14297 y z)))) (= x y))))) (let ((_let_1768 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12364 v ii) (ite (= i ii) e (ho_12364 u ii)))))))))) (let ((_let_1769 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12364 x z) (ho_12364 y z)))) (= x y))))) (let ((_let_1770 (forall ((u |u_(-> tptp.set_nat_nat _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i tptp.set_nat_nat)) (not (forall ((v |u_(-> tptp.set_nat_nat _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_nat_nat)) (= (ho_14291 v ii) (ite (= i ii) e (ho_14291 u ii)))))))))) (let ((_let_1771 (forall ((x |u_(-> tptp.set_nat_nat _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_nat_nat _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_nat_nat)) (= (ho_14291 x z) (ho_14291 y z)))) (= x y))))) (let ((_let_1772 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)_ tptp.set_nat_nat)|) (e tptp.set_nat_nat) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)_ tptp.set_nat_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_14289 v ii) (ite (= i ii) e (ho_14289 u ii)))))))))) (let ((_let_1773 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)_ tptp.set_nat_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)_ tptp.set_nat_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_14289 x z) (ho_14289 y z)))) (= x y))))) (let ((_let_1774 (forall ((u |u_(-> tptp.set_set_nat tptp.set_int)|) (e tptp.set_int) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_int)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_16145 v ii) (ite (= i ii) e (ho_16145 u ii)))))))))) (let ((_let_1775 (forall ((x |u_(-> tptp.set_set_nat tptp.set_int)|) (y |u_(-> tptp.set_set_nat tptp.set_int)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_16145 x z) (ho_16145 y z)))) (= x y))))) (let ((_let_1776 (forall ((u |u_(-> tptp.set_nat_o _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (i tptp.set_nat_o)) (not (forall ((v |u_(-> tptp.set_nat_o _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii tptp.set_nat_o)) (= (ho_14286 v ii) (ite (= i ii) e (ho_14286 u ii)))))))))) (let ((_let_1777 (forall ((x |u_(-> tptp.set_nat_o _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> tptp.set_nat_o _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z tptp.set_nat_o)) (= (ho_14286 x z) (ho_14286 y z)))) (= x y))))) (let ((_let_1778 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14277 v ii) (ite (= i ii) e (ho_14277 u ii)))))))))) (let ((_let_1779 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14277 x z) (ho_14277 y z)))) (= x y))))) (let ((_let_1780 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5809 v ii) (ite (= i ii) e (ho_5809 u ii)))))))))) (let ((_let_1781 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5809 x z) (ho_5809 y z)))) (= x y))))) (let ((_let_1782 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14274 v ii) (ite (= i ii) e (ho_14274 u ii)))))))))) (let ((_let_1783 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14274 x z) (ho_14274 y z)))) (= x y))))) (let ((_let_1784 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_16144 v ii) (ite (= i ii) e (ho_16144 u ii)))))))))) (let ((_let_1785 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_16144 x z) (ho_16144 y z)))) (= x y))))) (let ((_let_1786 (forall ((u |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (= (ho_14266 v ii) (ite (= i ii) e (ho_14266 u ii)))))))))) (let ((_let_1787 (forall ((x |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (= (ho_14266 x z) (ho_14266 y z)))) (= x y))))) (let ((_let_1788 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.list_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_16143 v ii) (ite (= i ii) e (ho_16143 u ii)))))))))) (let ((_let_1789 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_16143 x z) (ho_16143 y z)))) (= x y))))) (let ((_let_1790 (forall ((u |u_(-> tptp.set_li2168235667650531768at_nat _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i tptp.set_li2168235667650531768at_nat)) (not (forall ((v |u_(-> tptp.set_li2168235667650531768at_nat _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_li2168235667650531768at_nat)) (= (ho_14263 v ii) (ite (= i ii) e (ho_14263 u ii)))))))))) (let ((_let_1791 (forall ((x |u_(-> tptp.set_li2168235667650531768at_nat _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_li2168235667650531768at_nat _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_li2168235667650531768at_nat)) (= (ho_14263 x z) (ho_14263 y z)))) (= x y))))) (let ((_let_1792 (forall ((u |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (= (ho_14264 v ii) (ite (= i ii) e (ho_14264 u ii)))))))))) (let ((_let_1793 (forall ((x |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (= (ho_14264 x z) (ho_14264 y z)))) (= x y))))) (let ((_let_1794 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8375 v ii) (ite (= i ii) e (ho_8375 u ii)))))))))) (let ((_let_1795 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8375 x z) (ho_8375 y z)))) (= x y))))) (let ((_let_1796 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (= (ho_14260 v ii) (ite (= i ii) e (ho_14260 u ii)))))))))) (let ((_let_1797 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (= (ho_14260 x z) (ho_14260 y z)))) (= x y))))) (let ((_let_1798 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_14258 v ii) (ite (= i ii) e (ho_14258 u ii)))))))))) (let ((_let_1799 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_14258 x z) (ho_14258 y z)))) (= x y))))) (let ((_let_1800 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_16142 v ii) (ite (= i ii) e (ho_16142 u ii)))))))))) (let ((_let_1801 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_16142 x z) (ho_16142 y z)))) (= x y))))) (let ((_let_1802 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (= (ho_14252 v ii) (ite (= i ii) e (ho_14252 u ii)))))))))) (let ((_let_1803 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (= (ho_14252 x z) (ho_14252 y z)))) (= x y))))) (let ((_let_1804 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_11169 v ii) (ite (= i ii) e (ho_11169 u ii)))))))))) (let ((_let_1805 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_11169 x z) (ho_11169 y z)))) (= x y))))) (let ((_let_1806 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (= (ho_14250 v ii) (ite (= i ii) e (ho_14250 u ii)))))))))) (let ((_let_1807 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (= (ho_14250 x z) (ho_14250 y z)))) (= x y))))) (let ((_let_1808 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_16141 v ii) (ite (= i ii) e (ho_16141 u ii)))))))))) (let ((_let_1809 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_16141 x z) (ho_16141 y z)))) (= x y))))) (let ((_let_1810 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (= (ho_14253 v ii) (ite (= i ii) e (ho_14253 u ii)))))))))) (let ((_let_1811 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (= (ho_14253 x z) (ho_14253 y z)))) (= x y))))) (let ((_let_1812 (forall ((u |u_(-> tptp.set_na7251125088705586816nt_int _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (i tptp.set_na7251125088705586816nt_int)) (not (forall ((v |u_(-> tptp.set_na7251125088705586816nt_int _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii tptp.set_na7251125088705586816nt_int)) (= (ho_14247 v ii) (ite (= i ii) e (ho_14247 u ii)))))))))) (let ((_let_1813 (forall ((x |u_(-> tptp.set_na7251125088705586816nt_int _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> tptp.set_na7251125088705586816nt_int _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z tptp.set_na7251125088705586816nt_int)) (= (ho_14247 x z) (ho_14247 y z)))) (= x y))))) (let ((_let_1814 (forall ((u |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|) (e |u_(-> tptp.num tptp.set_nat)|) (i |u_(-> tptp.num tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.char)|)) (= (ho_14381 v ii) (ite (= i ii) e (ho_14381 u ii)))))))))) (let ((_let_1815 (forall ((x |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|) (y |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.char)|)) (= (ho_14381 x z) (ho_14381 y z)))) (= x y))))) (let ((_let_1816 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_7249 v ii) (ite (= i ii) e (ho_7249 u ii)))))))))) (let ((_let_1817 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_7249 x z) (ho_7249 y z)))) (= x y))))) (let ((_let_1818 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (= (ho_14244 v ii) (ite (= i ii) e (ho_14244 u ii)))))))))) (let ((_let_1819 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (= (ho_14244 x z) (ho_14244 y z)))) (= x y))))) (let ((_let_1820 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (= (ho_14245 v ii) (ite (= i ii) e (ho_14245 u ii)))))))))) (let ((_let_1821 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (= (ho_14245 x z) (ho_14245 y z)))) (= x y))))) (let ((_let_1822 (forall ((u |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|) (e |u_(-> tptp.int tptp.product_prod_nat_int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.nat)) (= (ho_10282 v ii) (ite (= i ii) e (ho_10282 u ii)))))))))) (let ((_let_1823 (forall ((x |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|) (y |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_10282 x z) (ho_10282 y z)))) (= x y))))) (let ((_let_1824 (forall ((u |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|) (e |u_(-> tptp.set_set_int tptp.set_nat)|) (i |u_(-> tptp.set_set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15122 v ii) (ite (= i ii) e (ho_15122 u ii)))))))))) (let ((_let_1825 (forall ((x |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15122 x z) (ho_15122 y z)))) (= x y))))) (let ((_let_1826 (forall ((u |u_(-> tptp.set_ra518564293221149304nt_int _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (i tptp.set_ra518564293221149304nt_int)) (not (forall ((v |u_(-> tptp.set_ra518564293221149304nt_int _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii tptp.set_ra518564293221149304nt_int)) (= (ho_14239 v ii) (ite (= i ii) e (ho_14239 u ii)))))))))) (let ((_let_1827 (forall ((x |u_(-> tptp.set_ra518564293221149304nt_int _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> tptp.set_ra518564293221149304nt_int _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z tptp.set_ra518564293221149304nt_int)) (= (ho_14239 x z) (ho_14239 y z)))) (= x y))))) (let ((_let_1828 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (= (ho_14240 v ii) (ite (= i ii) e (ho_14240 u ii)))))))))) (let ((_let_1829 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (= (ho_14240 x z) (ho_14240 y z)))) (= x y))))) (let ((_let_1830 (forall ((u |u_(-> tptp.int tptp.rat tptp.product_prod_int_rat)|) (e |u_(-> tptp.rat tptp.product_prod_int_rat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.rat tptp.product_prod_int_rat)|)) (not (forall ((ii tptp.int)) (= (ho_7400 v ii) (ite (= i ii) e (ho_7400 u ii)))))))))) (let ((_let_1831 (forall ((x |u_(-> tptp.int tptp.rat tptp.product_prod_int_rat)|) (y |u_(-> tptp.int tptp.rat tptp.product_prod_int_rat)|)) (or (not (forall ((z tptp.int)) (= (ho_7400 x z) (ho_7400 y z)))) (= x y))))) (let ((_let_1832 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (= (ho_14237 v ii) (ite (= i ii) e (ho_14237 u ii)))))))))) (let ((_let_1833 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (= (ho_14237 x z) (ho_14237 y z)))) (= x y))))) (let ((_let_1834 (forall ((u |u_(-> tptp.set_ch6383161263842509759nt_int _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i tptp.set_ch6383161263842509759nt_int)) (not (forall ((v |u_(-> tptp.set_ch6383161263842509759nt_int _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii tptp.set_ch6383161263842509759nt_int)) (= (ho_14231 v ii) (ite (= i ii) e (ho_14231 u ii)))))))))) (let ((_let_1835 (forall ((x |u_(-> tptp.set_ch6383161263842509759nt_int _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> tptp.set_ch6383161263842509759nt_int _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z tptp.set_ch6383161263842509759nt_int)) (= (ho_14231 x z) (ho_14231 y z)))) (= x y))))) (let ((_let_1836 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (= (ho_14232 v ii) (ite (= i ii) e (ho_14232 u ii)))))))))) (let ((_let_1837 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (= (ho_14232 x z) (ho_14232 y z)))) (= x y))))) (let ((_let_1838 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_14226 v ii) (ite (= i ii) e (ho_14226 u ii)))))))))) (let ((_let_1839 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_14226 x z) (ho_14226 y z)))) (= x y))))) (let ((_let_1840 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_16140 v ii) (ite (= i ii) e (ho_16140 u ii)))))))))) (let ((_let_1841 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_16140 x z) (ho_16140 y z)))) (= x y))))) (let ((_let_1842 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5753 v ii) (ite (= i ii) e (ho_5753 u ii)))))))))) (let ((_let_1843 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5753 x z) (ho_5753 y z)))) (= x y))))) (let ((_let_1844 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_14229 v ii) (ite (= i ii) e (ho_14229 u ii)))))))))) (let ((_let_1845 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_14229 x z) (ho_14229 y z)))) (= x y))))) (let ((_let_1846 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (= (ho_14224 v ii) (ite (= i ii) e (ho_14224 u ii)))))))))) (let ((_let_1847 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (= (ho_14224 x z) (ho_14224 y z)))) (= x y))))) (let ((_let_1848 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_16139 v ii) (ite (= i ii) e (ho_16139 u ii)))))))))) (let ((_let_1849 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_16139 x z) (ho_16139 y z)))) (= x y))))) (let ((_let_1850 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14220 v ii) (ite (= i ii) e (ho_14220 u ii)))))))))) (let ((_let_1851 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14220 x z) (ho_14220 y z)))) (= x y))))) (let ((_let_1852 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_14218 v ii) (ite (= i ii) e (ho_14218 u ii)))))))))) (let ((_let_1853 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_14218 x z) (ho_14218 y z)))) (= x y))))) (let ((_let_1854 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_16138 v ii) (ite (= i ii) e (ho_16138 u ii)))))))))) (let ((_let_1855 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_16138 x z) (ho_16138 y z)))) (= x y))))) (let ((_let_1856 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_14221 v ii) (ite (= i ii) e (ho_14221 u ii)))))))))) (let ((_let_1857 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_14221 x z) (ho_14221 y z)))) (= x y))))) (let ((_let_1858 (forall ((u |u_(-> tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|) (e tptp.set_Co726186806682698383nteger) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_10414 v ii) (ite (= i ii) e (ho_10414 u ii)))))))))) (let ((_let_1859 (forall ((x |u_(-> tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|) (y |u_(-> tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_10414 x z) (ho_10414 y z)))) (= x y))))) (let ((_let_1860 (forall ((u |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4650 v ii) (ite (= i ii) e (ho_4650 u ii)))))))))) (let ((_let_1861 (forall ((x |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4650 x z) (ho_4650 y z)))) (= x y))))) (let ((_let_1862 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14212 v ii) (ite (= i ii) e (ho_14212 u ii)))))))))) (let ((_let_1863 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14212 x z) (ho_14212 y z)))) (= x y))))) (let ((_let_1864 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_14210 v ii) (ite (= i ii) e (ho_14210 u ii)))))))))) (let ((_let_1865 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_14210 x z) (ho_14210 y z)))) (= x y))))) (let ((_let_1866 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_5362 v ii) (ite (= i ii) e (ho_5362 u ii)))))))))) (let ((_let_1867 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_5362 x z) (ho_5362 y z)))) (= x y))))) (let ((_let_1868 (forall ((u |u_(-> tptp.set_na8845969913329135560at_nat _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i tptp.set_na8845969913329135560at_nat)) (not (forall ((v |u_(-> tptp.set_na8845969913329135560at_nat _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_na8845969913329135560at_nat)) (= (ho_14207 v ii) (ite (= i ii) e (ho_14207 u ii)))))))))) (let ((_let_1869 (forall ((x |u_(-> tptp.set_na8845969913329135560at_nat _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_na8845969913329135560at_nat _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_na8845969913329135560at_nat)) (= (ho_14207 x z) (ho_14207 y z)))) (= x y))))) (let ((_let_1870 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (= (ho_14208 v ii) (ite (= i ii) e (ho_14208 u ii)))))))))) (let ((_let_1871 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (= (ho_14208 x z) (ho_14208 y z)))) (= x y))))) (let ((_let_1872 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_14384 v ii) (ite (= i ii) e (ho_14384 u ii)))))))))) (let ((_let_1873 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_14384 x z) (ho_14384 y z)))) (= x y))))) (let ((_let_1874 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.int)|) (e tptp.int) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.int)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_14653 v ii) (ite (= i ii) e (ho_14653 u ii)))))))))) (let ((_let_1875 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.int)|) (y |u_(-> tptp.product_prod_nat_int tptp.int)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_14653 x z) (ho_14653 y z)))) (= x y))))) (let ((_let_1876 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14204 v ii) (ite (= i ii) e (ho_14204 u ii)))))))))) (let ((_let_1877 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14204 x z) (ho_14204 y z)))) (= x y))))) (let ((_let_1878 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (= (ho_14202 v ii) (ite (= i ii) e (ho_14202 u ii)))))))))) (let ((_let_1879 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (= (ho_14202 x z) (ho_14202 y z)))) (= x y))))) (let ((_let_1880 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_14408 v ii) (ite (= i ii) e (ho_14408 u ii)))))))))) (let ((_let_1881 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_14408 x z) (ho_14408 y z)))) (= x y))))) (let ((_let_1882 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_16137 v ii) (ite (= i ii) e (ho_16137 u ii)))))))))) (let ((_let_1883 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_16137 x z) (ho_16137 y z)))) (= x y))))) (let ((_let_1884 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14599 v ii) (ite (= i ii) e (ho_14599 u ii)))))))))) (let ((_let_1885 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14599 x z) (ho_14599 y z)))) (= x y))))) (let ((_let_1886 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (= (ho_14205 v ii) (ite (= i ii) e (ho_14205 u ii)))))))))) (let ((_let_1887 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (= (ho_14205 x z) (ho_14205 y z)))) (= x y))))) (let ((_let_1888 (forall ((u |u_(-> tptp.set_Pr8415741480598773322nteger tptp.set_Pr8415741480598773322nteger Bool)|) (e |u_(-> tptp.set_Pr8415741480598773322nteger Bool)|) (i tptp.set_Pr8415741480598773322nteger)) (not (forall ((v |u_(-> tptp.set_Pr8415741480598773322nteger tptp.set_Pr8415741480598773322nteger Bool)|)) (not (forall ((ii tptp.set_Pr8415741480598773322nteger)) (= (ho_12682 v ii) (ite (= i ii) e (ho_12682 u ii)))))))))) (let ((_let_1889 (forall ((x |u_(-> tptp.set_Pr8415741480598773322nteger tptp.set_Pr8415741480598773322nteger Bool)|) (y |u_(-> tptp.set_Pr8415741480598773322nteger tptp.set_Pr8415741480598773322nteger Bool)|)) (or (not (forall ((z tptp.set_Pr8415741480598773322nteger)) (= (ho_12682 x z) (ho_12682 y z)))) (= x y))))) (let ((_let_1890 (forall ((u |u_(-> tptp.set_ra2113409117844698048at_nat _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (i tptp.set_ra2113409117844698048at_nat)) (not (forall ((v |u_(-> tptp.set_ra2113409117844698048at_nat _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_ra2113409117844698048at_nat)) (= (ho_14199 v ii) (ite (= i ii) e (ho_14199 u ii)))))))))) (let ((_let_1891 (forall ((x |u_(-> tptp.set_ra2113409117844698048at_nat _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_ra2113409117844698048at_nat _u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_ra2113409117844698048at_nat)) (= (ho_14199 x z) (ho_14199 y z)))) (= x y))))) (let ((_let_1892 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_16136 v ii) (ite (= i ii) e (ho_16136 u ii)))))))))) (let ((_let_1893 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_16136 x z) (ho_16136 y z)))) (= x y))))) (let ((_let_1894 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5757 v ii) (ite (= i ii) e (ho_5757 u ii)))))))))) (let ((_let_1895 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5757 x z) (ho_5757 y z)))) (= x y))))) (let ((_let_1896 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (= (ho_14194 v ii) (ite (= i ii) e (ho_14194 u ii)))))))))) (let ((_let_1897 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (= (ho_14194 x z) (ho_14194 y z)))) (= x y))))) (let ((_let_1898 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|) (e |u_(-> _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|)) (not (forall ((ii tptp.set_int)) (= (ho_14478 v ii) (ite (= i ii) e (ho_14478 u ii)))))))))) (let ((_let_1899 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_rat)_ tptp.set_Pr6292255179000445125nt_rat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14478 x z) (ho_14478 y z)))) (= x y))))) (let ((_let_1900 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (= (ho_14192 v ii) (ite (= i ii) e (ho_14192 u ii)))))))))) (let ((_let_1901 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (= (ho_14192 x z) (ho_14192 y z)))) (= x y))))) (let ((_let_1902 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_16135 v ii) (ite (= i ii) e (ho_16135 u ii)))))))))) (let ((_let_1903 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_16135 x z) (ho_16135 y z)))) (= x y))))) (let ((_let_1904 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool Bool)_ Bool tptp.char)|) (e |u_(-> _u_(-> Bool Bool)_ Bool tptp.char)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool Bool)_ Bool tptp.char)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_14188 v ii) (ite (= i ii) e (ho_14188 u ii)))))))))) (let ((_let_1905 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool Bool)_ Bool tptp.char)|) (y |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool Bool)_ Bool tptp.char)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_14188 x z) (ho_14188 y z)))) (= x y))))) (let ((_let_1906 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13476 v ii) (ite (= i ii) e (ho_13476 u ii)))))))))) (let ((_let_1907 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13476 x z) (ho_13476 y z)))) (= x y))))) (let ((_let_1908 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.int Bool)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.int Bool)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_14185 v ii) (ite (= i ii) e (ho_14185 u ii)))))))))) (let ((_let_1909 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.int Bool)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.int Bool)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_14185 x z) (ho_14185 y z)))) (= x y))))) (let ((_let_1910 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_14186 v ii) (ite (= i ii) e (ho_14186 u ii)))))))))) (let ((_let_1911 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_14186 x z) (ho_14186 y z)))) (= x y))))) (let ((_let_1912 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_14183 v ii) (ite (= i ii) e (ho_14183 u ii)))))))))) (let ((_let_1913 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_14183 x z) (ho_14183 y z)))) (= x y))))) (let ((_let_1914 (forall ((u |u_(-> _u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14179 v ii) (ite (= i ii) e (ho_14179 u ii)))))))))) (let ((_let_1915 (forall ((x |u_(-> _u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14179 x z) (ho_14179 y z)))) (= x y))))) (let ((_let_1916 (forall ((u |u_(-> _u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|)) (= (ho_14171 v ii) (ite (= i ii) e (ho_14171 u ii)))))))))) (let ((_let_1917 (forall ((x |u_(-> _u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|)) (= (ho_14171 x z) (ho_14171 y z)))) (= x y))))) (let ((_let_1918 (forall ((u |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|) (e tptp.ref_a) (i tptp.produc5288414631154139675_ref_a)) (not (forall ((v |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|)) (not (forall ((ii tptp.produc5288414631154139675_ref_a)) (= (ho_14169 v ii) (ite (= i ii) e (ho_14169 u ii)))))))))) (let ((_let_1919 (forall ((x |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|) (y |u_(-> tptp.produc5288414631154139675_ref_a tptp.ref_a)|)) (or (not (forall ((z tptp.produc5288414631154139675_ref_a)) (= (ho_14169 x z) (ho_14169 y z)))) (= x y))))) (let ((_let_1920 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13498 v ii) (ite (= i ii) e (ho_13498 u ii)))))))))) (let ((_let_1921 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13498 x z) (ho_13498 y z)))) (= x y))))) (let ((_let_1922 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (= (ho_14172 v ii) (ite (= i ii) e (ho_14172 u ii)))))))))) (let ((_let_1923 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (= (ho_14172 x z) (ho_14172 y z)))) (= x y))))) (let ((_let_1924 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7065 v ii) (ite (= i ii) e (ho_7065 u ii)))))))))) (let ((_let_1925 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7065 x z) (ho_7065 y z)))) (= x y))))) (let ((_let_1926 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_14167 v ii) (ite (= i ii) e (ho_14167 u ii)))))))))) (let ((_let_1927 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_14167 x z) (ho_14167 y z)))) (= x y))))) (let ((_let_1928 (forall ((u |u_(-> tptp.int tptp.set_o)|) (e tptp.set_o) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_o)|)) (not (forall ((ii tptp.int)) (= (ho_6121 v ii) (ite (= i ii) e (ho_6121 u ii)))))))))) (let ((_let_1929 (forall ((x |u_(-> tptp.int tptp.set_o)|) (y |u_(-> tptp.int tptp.set_o)|)) (or (not (forall ((z tptp.int)) (= (ho_6121 x z) (ho_6121 y z)))) (= x y))))) (let ((_let_1930 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.nat)|)) (= (ho_14164 v ii) (ite (= i ii) e (ho_14164 u ii)))))))))) (let ((_let_1931 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.nat)|)) (= (ho_14164 x z) (ho_14164 y z)))) (= x y))))) (let ((_let_1932 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14160 v ii) (ite (= i ii) e (ho_14160 u ii)))))))))) (let ((_let_1933 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14160 x z) (ho_14160 y z)))) (= x y))))) (let ((_let_1934 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_14157 v ii) (ite (= i ii) e (ho_14157 u ii)))))))))) (let ((_let_1935 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14157 x z) (ho_14157 y z)))) (= x y))))) (let ((_let_1936 (forall ((u |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_10139 v ii) (ite (= i ii) e (ho_10139 u ii)))))))))) (let ((_let_1937 (forall ((x |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_10139 x z) (ho_10139 y z)))) (= x y))))) (let ((_let_1938 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14154 v ii) (ite (= i ii) e (ho_14154 u ii)))))))))) (let ((_let_1939 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14154 x z) (ho_14154 y z)))) (= x y))))) (let ((_let_1940 (forall ((u |u_(-> tptp.set_in3169746454734514176um_num _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i tptp.set_in3169746454734514176um_num)) (not (forall ((v |u_(-> tptp.set_in3169746454734514176um_num _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii tptp.set_in3169746454734514176um_num)) (= (ho_14223 v ii) (ite (= i ii) e (ho_14223 u ii)))))))))) (let ((_let_1941 (forall ((x |u_(-> tptp.set_in3169746454734514176um_num _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> tptp.set_in3169746454734514176um_num _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z tptp.set_in3169746454734514176um_num)) (= (ho_14223 x z) (ho_14223 y z)))) (= x y))))) (let ((_let_1942 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (= (ho_14155 v ii) (ite (= i ii) e (ho_14155 u ii)))))))))) (let ((_let_1943 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (= (ho_14155 x z) (ho_14155 y z)))) (= x y))))) (let ((_let_1944 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_14151 v ii) (ite (= i ii) e (ho_14151 u ii)))))))))) (let ((_let_1945 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_14151 x z) (ho_14151 y z)))) (= x y))))) (let ((_let_1946 (forall ((u |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14148 v ii) (ite (= i ii) e (ho_14148 u ii)))))))))) (let ((_let_1947 (forall ((x |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14148 x z) (ho_14148 y z)))) (= x y))))) (let ((_let_1948 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_15378 v ii) (ite (= i ii) e (ho_15378 u ii)))))))))) (let ((_let_1949 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_15378 x z) (ho_15378 y z)))) (= x y))))) (let ((_let_1950 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (= (ho_14149 v ii) (ite (= i ii) e (ho_14149 u ii)))))))))) (let ((_let_1951 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (= (ho_14149 x z) (ho_14149 y z)))) (= x y))))) (let ((_let_1952 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|) (e tptp.produc1799199577659733785_ref_a) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16134 v ii) (ite (= i ii) e (ho_16134 u ii)))))))))) (let ((_let_1953 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16134 x z) (ho_16134 y z)))) (= x y))))) (let ((_let_1954 (forall ((u |u_(-> tptp.produc3346328345660746739nteger tptp.code_integer)|) (e tptp.code_integer) (i tptp.produc3346328345660746739nteger)) (not (forall ((v |u_(-> tptp.produc3346328345660746739nteger tptp.code_integer)|)) (not (forall ((ii tptp.produc3346328345660746739nteger)) (= (ho_14141 v ii) (ite (= i ii) e (ho_14141 u ii)))))))))) (let ((_let_1955 (forall ((x |u_(-> tptp.produc3346328345660746739nteger tptp.code_integer)|) (y |u_(-> tptp.produc3346328345660746739nteger tptp.code_integer)|)) (or (not (forall ((z tptp.produc3346328345660746739nteger)) (= (ho_14141 x z) (ho_14141 y z)))) (= x y))))) (let ((_let_1956 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_9936 v ii) (ite (= i ii) e (ho_9936 u ii)))))))))) (let ((_let_1957 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_9936 x z) (ho_9936 y z)))) (= x y))))) (let ((_let_1958 (forall ((u |u_(-> tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|) (e tptp.produc8923325533196201883nteger) (i tptp.produc3346328345660746739nteger)) (not (forall ((v |u_(-> tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.produc3346328345660746739nteger)) (= (ho_14138 v ii) (ite (= i ii) e (ho_14138 u ii)))))))))) (let ((_let_1959 (forall ((x |u_(-> tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.produc3346328345660746739nteger)) (= (ho_14138 x z) (ho_14138 y z)))) (= x y))))) (let ((_let_1960 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_14400 v ii) (ite (= i ii) e (ho_14400 u ii)))))))))) (let ((_let_1961 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_14400 x z) (ho_14400 y z)))) (= x y))))) (let ((_let_1962 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_14134 v ii) (ite (= i ii) e (ho_14134 u ii)))))))))) (let ((_let_1963 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_14134 x z) (ho_14134 y z)))) (= x y))))) (let ((_let_1964 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_13577 v ii) (ite (= i ii) e (ho_13577 u ii)))))))))) (let ((_let_1965 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_13577 x z) (ho_13577 y z)))) (= x y))))) (let ((_let_1966 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|) (e tptp.produc3438435131210021710_a_nat) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12455 v ii) (ite (= i ii) e (ho_12455 u ii)))))))))) (let ((_let_1967 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12455 x z) (ho_12455 y z)))) (= x y))))) (let ((_let_1968 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_14129 v ii) (ite (= i ii) e (ho_14129 u ii)))))))))) (let ((_let_1969 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_14129 x z) (ho_14129 y z)))) (= x y))))) (let ((_let_1970 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_14130 v ii) (ite (= i ii) e (ho_14130 u ii)))))))))) (let ((_let_1971 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_14130 x z) (ho_14130 y z)))) (= x y))))) (let ((_let_1972 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7715 v ii) (ite (= i ii) e (ho_7715 u ii)))))))))) (let ((_let_1973 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7715 x z) (ho_7715 y z)))) (= x y))))) (let ((_let_1974 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_11051 v ii) (ite (= i ii) e (ho_11051 u ii)))))))))) (let ((_let_1975 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_11051 x z) (ho_11051 y z)))) (= x y))))) (let ((_let_1976 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|) (i |u_(-> tptp.product_prod_num_num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_num tptp.num)|)) (= (ho_14126 v ii) (ite (= i ii) e (ho_14126 u ii)))))))))) (let ((_let_1977 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_num tptp.num)|)) (= (ho_14126 x z) (ho_14126 y z)))) (= x y))))) (let ((_let_1978 (forall ((u |u_(-> _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.product_prod_num_num)|)) (= (ho_14127 v ii) (ite (= i ii) e (ho_14127 u ii)))))))))) (let ((_let_1979 (forall ((x |u_(-> _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.product_prod_num_num)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.product_prod_num_num)|)) (= (ho_14127 x z) (ho_14127 y z)))) (= x y))))) (let ((_let_1980 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11457 v ii) (ite (= i ii) e (ho_11457 u ii)))))))))) (let ((_let_1981 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11457 x z) (ho_11457 y z)))) (= x y))))) (let ((_let_1982 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> Bool tptp.rat)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> Bool tptp.rat)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_15739 v ii) (ite (= i ii) e (ho_15739 u ii)))))))))) (let ((_let_1983 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> Bool tptp.rat)_ Bool tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> Bool tptp.rat)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_15739 x z) (ho_15739 y z)))) (= x y))))) (let ((_let_1984 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_14124 v ii) (ite (= i ii) e (ho_14124 u ii)))))))))) (let ((_let_1985 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_14124 x z) (ho_14124 y z)))) (= x y))))) (let ((_let_1986 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7911 v ii) (ite (= i ii) e (ho_7911 u ii)))))))))) (let ((_let_1987 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7911 x z) (ho_7911 y z)))) (= x y))))) (let ((_let_1988 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6044 v ii) (ite (= i ii) e (ho_6044 u ii)))))))))) (let ((_let_1989 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6044 x z) (ho_6044 y z)))) (= x y))))) (let ((_let_1990 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14119 v ii) (ite (= i ii) e (ho_14119 u ii)))))))))) (let ((_let_1991 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14119 x z) (ho_14119 y z)))) (= x y))))) (let ((_let_1992 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12684 v ii) (ite (= i ii) e (ho_12684 u ii)))))))))) (let ((_let_1993 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12684 x z) (ho_12684 y z)))) (= x y))))) (let ((_let_1994 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_14113 v ii) (ite (= i ii) e (ho_14113 u ii)))))))))) (let ((_let_1995 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_14113 x z) (ho_14113 y z)))) (= x y))))) (let ((_let_1996 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5899 v ii) (ite (= i ii) e (ho_5899 u ii)))))))))) (let ((_let_1997 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5899 x z) (ho_5899 y z)))) (= x y))))) (let ((_let_1998 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14108 v ii) (ite (= i ii) e (ho_14108 u ii)))))))))) (let ((_let_1999 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14108 x z) (ho_14108 y z)))) (= x y))))) (let ((_let_2000 (forall ((u |u_(-> _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.int tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.ref_a Bool)|)) (= (ho_14110 v ii) (ite (= i ii) e (ho_14110 u ii)))))))))) (let ((_let_2001 (forall ((x |u_(-> _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.ref_a Bool)|)) (= (ho_14110 x z) (ho_14110 y z)))) (= x y))))) (let ((_let_2002 (forall ((u |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.int)) (= (ho_14105 v ii) (ite (= i ii) e (ho_14105 u ii)))))))))) (let ((_let_2003 (forall ((x |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_14105 x z) (ho_14105 y z)))) (= x y))))) (let ((_let_2004 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14101 v ii) (ite (= i ii) e (ho_14101 u ii)))))))))) (let ((_let_2005 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14101 x z) (ho_14101 y z)))) (= x y))))) (let ((_let_2006 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|)) (= (ho_14104 v ii) (ite (= i ii) e (ho_14104 u ii)))))))))) (let ((_let_2007 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|)) (= (ho_14104 x z) (ho_14104 y z)))) (= x y))))) (let ((_let_2008 (forall ((u |u_(-> tptp.ref_a tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.int Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_14099 v ii) (ite (= i ii) e (ho_14099 u ii)))))))))) (let ((_let_2009 (forall ((x |u_(-> tptp.ref_a tptp.int Bool)|) (y |u_(-> tptp.ref_a tptp.int Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_14099 x z) (ho_14099 y z)))) (= x y))))) (let ((_let_2010 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_14098 v ii) (ite (= i ii) e (ho_14098 u ii)))))))))) (let ((_let_2011 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_14098 x z) (ho_14098 y z)))) (= x y))))) (let ((_let_2012 (forall ((u |u_(-> tptp.set_he8644174446132254637t_unit Bool)|) (e Bool) (i tptp.set_he8644174446132254637t_unit)) (not (forall ((v |u_(-> tptp.set_he8644174446132254637t_unit Bool)|)) (not (forall ((ii tptp.set_he8644174446132254637t_unit)) (= (ho_12346 v ii) (ite (= i ii) e (ho_12346 u ii)))))))))) (let ((_let_2013 (forall ((x |u_(-> tptp.set_he8644174446132254637t_unit Bool)|) (y |u_(-> tptp.set_he8644174446132254637t_unit Bool)|)) (or (not (forall ((z tptp.set_he8644174446132254637t_unit)) (= (ho_12346 x z) (ho_12346 y z)))) (= x y))))) (let ((_let_2014 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14094 v ii) (ite (= i ii) e (ho_14094 u ii)))))))))) (let ((_let_2015 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14094 x z) (ho_14094 y z)))) (= x y))))) (let ((_let_2016 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_14091 v ii) (ite (= i ii) e (ho_14091 u ii)))))))))) (let ((_let_2017 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_14091 x z) (ho_14091 y z)))) (= x y))))) (let ((_let_2018 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14087 v ii) (ite (= i ii) e (ho_14087 u ii)))))))))) (let ((_let_2019 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14087 x z) (ho_14087 y z)))) (= x y))))) (let ((_let_2020 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14084 v ii) (ite (= i ii) e (ho_14084 u ii)))))))))) (let ((_let_2021 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14084 x z) (ho_14084 y z)))) (= x y))))) (let ((_let_2022 (forall ((u |u_(-> _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14090 v ii) (ite (= i ii) e (ho_14090 u ii)))))))))) (let ((_let_2023 (forall ((x |u_(-> _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14090 x z) (ho_14090 y z)))) (= x y))))) (let ((_let_2024 (forall ((u |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_14081 v ii) (ite (= i ii) e (ho_14081 u ii)))))))))) (let ((_let_2025 (forall ((x |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_14081 x z) (ho_14081 y z)))) (= x y))))) (let ((_let_2026 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14079 v ii) (ite (= i ii) e (ho_14079 u ii)))))))))) (let ((_let_2027 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14079 x z) (ho_14079 y z)))) (= x y))))) (let ((_let_2028 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_14080 v ii) (ite (= i ii) e (ho_14080 u ii)))))))))) (let ((_let_2029 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_14080 x z) (ho_14080 y z)))) (= x y))))) (let ((_let_2030 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14074 v ii) (ite (= i ii) e (ho_14074 u ii)))))))))) (let ((_let_2031 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14074 x z) (ho_14074 y z)))) (= x y))))) (let ((_let_2032 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14066 v ii) (ite (= i ii) e (ho_14066 u ii)))))))))) (let ((_let_2033 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14066 x z) (ho_14066 y z)))) (= x y))))) (let ((_let_2034 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14072 v ii) (ite (= i ii) e (ho_14072 u ii)))))))))) (let ((_let_2035 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14072 x z) (ho_14072 y z)))) (= x y))))) (let ((_let_2036 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15808 v ii) (ite (= i ii) e (ho_15808 u ii)))))))))) (let ((_let_2037 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15808 x z) (ho_15808 y z)))) (= x y))))) (let ((_let_2038 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14063 v ii) (ite (= i ii) e (ho_14063 u ii)))))))))) (let ((_let_2039 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14063 x z) (ho_14063 y z)))) (= x y))))) (let ((_let_2040 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14064 v ii) (ite (= i ii) e (ho_14064 u ii)))))))))) (let ((_let_2041 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14064 x z) (ho_14064 y z)))) (= x y))))) (let ((_let_2042 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_12085 v ii) (ite (= i ii) e (ho_12085 u ii)))))))))) (let ((_let_2043 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_12085 x z) (ho_12085 y z)))) (= x y))))) (let ((_let_2044 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|) (e |u_(-> tptp.set_int Bool tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_5851 v ii) (ite (= i ii) e (ho_5851 u ii)))))))))) (let ((_let_2045 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_5851 x z) (ho_5851 y z)))) (= x y))))) (let ((_let_2046 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14060 v ii) (ite (= i ii) e (ho_14060 u ii)))))))))) (let ((_let_2047 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14060 x z) (ho_14060 y z)))) (= x y))))) (let ((_let_2048 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14058 v ii) (ite (= i ii) e (ho_14058 u ii)))))))))) (let ((_let_2049 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14058 x z) (ho_14058 y z)))) (= x y))))) (let ((_let_2050 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14054 v ii) (ite (= i ii) e (ho_14054 u ii)))))))))) (let ((_let_2051 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14054 x z) (ho_14054 y z)))) (= x y))))) (let ((_let_2052 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14051 v ii) (ite (= i ii) e (ho_14051 u ii)))))))))) (let ((_let_2053 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14051 x z) (ho_14051 y z)))) (= x y))))) (let ((_let_2054 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14052 v ii) (ite (= i ii) e (ho_14052 u ii)))))))))) (let ((_let_2055 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14052 x z) (ho_14052 y z)))) (= x y))))) (let ((_let_2056 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|) (e tptp.set_Pr4155430604743465615at_nat) (i |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14621 v ii) (ite (= i ii) e (ho_14621 u ii)))))))))) (let ((_let_2057 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14621 x z) (ho_14621 y z)))) (= x y))))) (let ((_let_2058 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_14049 v ii) (ite (= i ii) e (ho_14049 u ii)))))))))) (let ((_let_2059 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_14049 x z) (ho_14049 y z)))) (= x y))))) (let ((_let_2060 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12241 v ii) (ite (= i ii) e (ho_12241 u ii)))))))))) (let ((_let_2061 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12241 x z) (ho_12241 y z)))) (= x y))))) (let ((_let_2062 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_14045 v ii) (ite (= i ii) e (ho_14045 u ii)))))))))) (let ((_let_2063 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_14045 x z) (ho_14045 y z)))) (= x y))))) (let ((_let_2064 (forall ((u |u_(-> tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7931 v ii) (ite (= i ii) e (ho_7931 u ii)))))))))) (let ((_let_2065 (forall ((x |u_(-> tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.nat tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7931 x z) (ho_7931 y z)))) (= x y))))) (let ((_let_2066 (forall ((u |u_(-> tptp.nat tptp.ref_a Bool)|) (e |u_(-> tptp.ref_a Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.ref_a Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_14082 v ii) (ite (= i ii) e (ho_14082 u ii)))))))))) (let ((_let_2067 (forall ((x |u_(-> tptp.nat tptp.ref_a Bool)|) (y |u_(-> tptp.nat tptp.ref_a Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_14082 x z) (ho_14082 y z)))) (= x y))))) (let ((_let_2068 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_14046 v ii) (ite (= i ii) e (ho_14046 u ii)))))))))) (let ((_let_2069 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_14046 x z) (ho_14046 y z)))) (= x y))))) (let ((_let_2070 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|) (e |u_(-> Bool tptp.set_int)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_6105 v ii) (ite (= i ii) e (ho_6105 u ii)))))))))) (let ((_let_2071 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_6105 x z) (ho_6105 y z)))) (= x y))))) (let ((_let_2072 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_14043 v ii) (ite (= i ii) e (ho_14043 u ii)))))))))) (let ((_let_2073 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_14043 x z) (ho_14043 y z)))) (= x y))))) (let ((_let_2074 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14041 v ii) (ite (= i ii) e (ho_14041 u ii)))))))))) (let ((_let_2075 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14041 x z) (ho_14041 y z)))) (= x y))))) (let ((_let_2076 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14114 v ii) (ite (= i ii) e (ho_14114 u ii)))))))))) (let ((_let_2077 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14114 x z) (ho_14114 y z)))) (= x y))))) (let ((_let_2078 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.ref_a tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12320 v ii) (ite (= i ii) e (ho_12320 u ii)))))))))) (let ((_let_2079 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12320 x z) (ho_12320 y z)))) (= x y))))) (let ((_let_2080 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14037 v ii) (ite (= i ii) e (ho_14037 u ii)))))))))) (let ((_let_2081 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14037 x z) (ho_14037 y z)))) (= x y))))) (let ((_let_2082 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int Bool Bool)_ Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int Bool Bool)_ Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_14034 v ii) (ite (= i ii) e (ho_14034 u ii)))))))))) (let ((_let_2083 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int Bool Bool)_ Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int Bool Bool)_ Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14034 x z) (ho_14034 y z)))) (= x y))))) (let ((_let_2084 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool Bool)_ Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14031 v ii) (ite (= i ii) e (ho_14031 u ii)))))))))) (let ((_let_2085 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool Bool)_ Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool Bool)_ Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14031 x z) (ho_14031 y z)))) (= x y))))) (let ((_let_2086 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_14032 v ii) (ite (= i ii) e (ho_14032 u ii)))))))))) (let ((_let_2087 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_14032 x z) (ho_14032 y z)))) (= x y))))) (let ((_let_2088 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7686 v ii) (ite (= i ii) e (ho_7686 u ii)))))))))) (let ((_let_2089 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7686 x z) (ho_7686 y z)))) (= x y))))) (let ((_let_2090 (forall ((u |u_(-> tptp.set_o _u_(-> Bool Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool Bool Bool)_ Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_14028 v ii) (ite (= i ii) e (ho_14028 u ii)))))))))) (let ((_let_2091 (forall ((x |u_(-> tptp.set_o _u_(-> Bool Bool Bool)_ Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool Bool Bool)_ Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14028 x z) (ho_14028 y z)))) (= x y))))) (let ((_let_2092 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ Bool)|) (e Bool) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14029 v ii) (ite (= i ii) e (ho_14029 u ii)))))))))) (let ((_let_2093 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14029 x z) (ho_14029 y z)))) (= x y))))) (let ((_let_2094 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14025 v ii) (ite (= i ii) e (ho_14025 u ii)))))))))) (let ((_let_2095 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14025 x z) (ho_14025 y z)))) (= x y))))) (let ((_let_2096 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (= (ho_14026 v ii) (ite (= i ii) e (ho_14026 u ii)))))))))) (let ((_let_2097 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (= (ho_14026 x z) (ho_14026 y z)))) (= x y))))) (let ((_let_2098 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_14022 v ii) (ite (= i ii) e (ho_14022 u ii)))))))))) (let ((_let_2099 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_14022 x z) (ho_14022 y z)))) (= x y))))) (let ((_let_2100 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (= (ho_14023 v ii) (ite (= i ii) e (ho_14023 u ii)))))))))) (let ((_let_2101 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (= (ho_14023 x z) (ho_14023 y z)))) (= x y))))) (let ((_let_2102 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14019 v ii) (ite (= i ii) e (ho_14019 u ii)))))))))) (let ((_let_2103 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14019 x z) (ho_14019 y z)))) (= x y))))) (let ((_let_2104 (forall ((u |u_(-> tptp.produc652263959640188542_nat_o tptp.set_Pr6558897299634722526_nat_o Bool)|) (e |u_(-> tptp.set_Pr6558897299634722526_nat_o Bool)|) (i tptp.produc652263959640188542_nat_o)) (not (forall ((v |u_(-> tptp.produc652263959640188542_nat_o tptp.set_Pr6558897299634722526_nat_o Bool)|)) (not (forall ((ii tptp.produc652263959640188542_nat_o)) (= (ho_14668 v ii) (ite (= i ii) e (ho_14668 u ii)))))))))) (let ((_let_2105 (forall ((x |u_(-> tptp.produc652263959640188542_nat_o tptp.set_Pr6558897299634722526_nat_o Bool)|) (y |u_(-> tptp.produc652263959640188542_nat_o tptp.set_Pr6558897299634722526_nat_o Bool)|)) (or (not (forall ((z tptp.produc652263959640188542_nat_o)) (= (ho_14668 x z) (ho_14668 y z)))) (= x y))))) (let ((_let_2106 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_14014 v ii) (ite (= i ii) e (ho_14014 u ii)))))))))) (let ((_let_2107 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_14014 x z) (ho_14014 y z)))) (= x y))))) (let ((_let_2108 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_14009 v ii) (ite (= i ii) e (ho_14009 u ii)))))))))) (let ((_let_2109 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_14009 x z) (ho_14009 y z)))) (= x y))))) (let ((_let_2110 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14006 v ii) (ite (= i ii) e (ho_14006 u ii)))))))))) (let ((_let_2111 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14006 x z) (ho_14006 y z)))) (= x y))))) (let ((_let_2112 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_14007 v ii) (ite (= i ii) e (ho_14007 u ii)))))))))) (let ((_let_2113 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_14007 x z) (ho_14007 y z)))) (= x y))))) (let ((_let_2114 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_14001 v ii) (ite (= i ii) e (ho_14001 u ii)))))))))) (let ((_let_2115 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_14001 x z) (ho_14001 y z)))) (= x y))))) (let ((_let_2116 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_nat_o)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (i |u_(-> Bool tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_nat_o)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_nat_o)|)) (= (ho_15685 v ii) (ite (= i ii) e (ho_15685 u ii)))))))))) (let ((_let_2117 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_nat_o)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.product_prod_nat_o)_ tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_nat_o)|)) (= (ho_15685 x z) (ho_15685 y z)))) (= x y))))) (let ((_let_2118 (forall ((u |u_(-> tptp.set_Pr3798168094891919931at_nat Bool)|) (e Bool) (i tptp.set_Pr3798168094891919931at_nat)) (not (forall ((v |u_(-> tptp.set_Pr3798168094891919931at_nat Bool)|)) (not (forall ((ii tptp.set_Pr3798168094891919931at_nat)) (= (ho_14976 v ii) (ite (= i ii) e (ho_14976 u ii)))))))))) (let ((_let_2119 (forall ((x |u_(-> tptp.set_Pr3798168094891919931at_nat Bool)|) (y |u_(-> tptp.set_Pr3798168094891919931at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr3798168094891919931at_nat)) (= (ho_14976 x z) (ho_14976 y z)))) (= x y))))) (let ((_let_2120 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|) (e tptp.set_Pr4105333604307423337at_rat) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_14492 v ii) (ite (= i ii) e (ho_14492 u ii)))))))))) (let ((_let_2121 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_14492 x z) (ho_14492 y z)))) (= x y))))) (let ((_let_2122 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_14002 v ii) (ite (= i ii) e (ho_14002 u ii)))))))))) (let ((_let_2123 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_14002 x z) (ho_14002 y z)))) (= x y))))) (let ((_let_2124 (forall ((u |u_(-> tptp.set_Pr49084382684228242at_int Bool)|) (e Bool) (i tptp.set_Pr49084382684228242at_int)) (not (forall ((v |u_(-> tptp.set_Pr49084382684228242at_int Bool)|)) (not (forall ((ii tptp.set_Pr49084382684228242at_int)) (= (ho_12257 v ii) (ite (= i ii) e (ho_12257 u ii)))))))))) (let ((_let_2125 (forall ((x |u_(-> tptp.set_Pr49084382684228242at_int Bool)|) (y |u_(-> tptp.set_Pr49084382684228242at_int Bool)|)) (or (not (forall ((z tptp.set_Pr49084382684228242at_int)) (= (ho_12257 x z) (ho_12257 y z)))) (= x y))))) (let ((_let_2126 (forall ((u |u_(-> tptp.set_o tptp.set_char_o)|) (e tptp.set_char_o) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_char_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_15484 v ii) (ite (= i ii) e (ho_15484 u ii)))))))))) (let ((_let_2127 (forall ((x |u_(-> tptp.set_o tptp.set_char_o)|) (y |u_(-> tptp.set_o tptp.set_char_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15484 x z) (ho_15484 y z)))) (= x y))))) (let ((_let_2128 (forall ((u |u_(-> tptp.product_prod_int_int tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.num Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_16133 v ii) (ite (= i ii) e (ho_16133 u ii)))))))))) (let ((_let_2129 (forall ((x |u_(-> tptp.product_prod_int_int tptp.num Bool)|) (y |u_(-> tptp.product_prod_int_int tptp.num Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_16133 x z) (ho_16133 y z)))) (= x y))))) (let ((_let_2130 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|) (e tptp.set_Pr5564308138774400199at_nat) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_15051 v ii) (ite (= i ii) e (ho_15051 u ii)))))))))) (let ((_let_2131 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_15051 x z) (ho_15051 y z)))) (= x y))))) (let ((_let_2132 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4641 v ii) (ite (= i ii) e (ho_4641 u ii)))))))))) (let ((_let_2133 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4641 x z) (ho_4641 y z)))) (= x y))))) (let ((_let_2134 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_13994 v ii) (ite (= i ii) e (ho_13994 u ii)))))))))) (let ((_let_2135 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_13994 x z) (ho_13994 y z)))) (= x y))))) (let ((_let_2136 (forall ((u |u_(-> tptp.set_ch7814610555394875923t_unit Bool)|) (e Bool) (i tptp.set_ch7814610555394875923t_unit)) (not (forall ((v |u_(-> tptp.set_ch7814610555394875923t_unit Bool)|)) (not (forall ((ii tptp.set_ch7814610555394875923t_unit)) (= (ho_15479 v ii) (ite (= i ii) e (ho_15479 u ii)))))))))) (let ((_let_2137 (forall ((x |u_(-> tptp.set_ch7814610555394875923t_unit Bool)|) (y |u_(-> tptp.set_ch7814610555394875923t_unit Bool)|)) (or (not (forall ((z tptp.set_ch7814610555394875923t_unit)) (= (ho_15479 x z) (ho_15479 y z)))) (= x y))))) (let ((_let_2138 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6899 v ii) (ite (= i ii) e (ho_6899 u ii)))))))))) (let ((_let_2139 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6899 x z) (ho_6899 y z)))) (= x y))))) (let ((_let_2140 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_num Bool)_ tptp.set_Pr8218934625190621173um_num)|) (e tptp.set_Pr8218934625190621173um_num) (i |u_(-> tptp.product_prod_num_num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_num Bool)_ tptp.set_Pr8218934625190621173um_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_num Bool)|)) (= (ho_10491 v ii) (ite (= i ii) e (ho_10491 u ii)))))))))) (let ((_let_2141 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_num Bool)_ tptp.set_Pr8218934625190621173um_num)|) (y |u_(-> _u_(-> tptp.product_prod_num_num Bool)_ tptp.set_Pr8218934625190621173um_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_num Bool)|)) (= (ho_10491 x z) (ho_10491 y z)))) (= x y))))) (let ((_let_2142 (forall ((u |u_(-> tptp.produc7485711547916492274unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (e |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (i tptp.produc7485711547916492274unit_o)) (not (forall ((v |u_(-> tptp.produc7485711547916492274unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|)) (not (forall ((ii tptp.produc7485711547916492274unit_o)) (= (ho_15198 v ii) (ite (= i ii) e (ho_15198 u ii)))))))))) (let ((_let_2143 (forall ((x |u_(-> tptp.produc7485711547916492274unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (y |u_(-> tptp.produc7485711547916492274unit_o tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|)) (or (not (forall ((z tptp.produc7485711547916492274unit_o)) (= (ho_15198 x z) (ho_15198 y z)))) (= x y))))) (let ((_let_2144 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4542 v ii) (ite (= i ii) e (ho_4542 u ii)))))))))) (let ((_let_2145 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4542 x z) (ho_4542 y z)))) (= x y))))) (let ((_let_2146 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.num Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13996 v ii) (ite (= i ii) e (ho_13996 u ii)))))))))) (let ((_let_2147 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13996 x z) (ho_13996 y z)))) (= x y))))) (let ((_let_2148 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_13991 v ii) (ite (= i ii) e (ho_13991 u ii)))))))))) (let ((_let_2149 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_13991 x z) (ho_13991 y z)))) (= x y))))) (let ((_let_2150 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.num Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (= (ho_13992 v ii) (ite (= i ii) e (ho_13992 u ii)))))))))) (let ((_let_2151 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (= (ho_13992 x z) (ho_13992 y z)))) (= x y))))) (let ((_let_2152 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_13988 v ii) (ite (= i ii) e (ho_13988 u ii)))))))))) (let ((_let_2153 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_13988 x z) (ho_13988 y z)))) (= x y))))) (let ((_let_2154 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13984 v ii) (ite (= i ii) e (ho_13984 u ii)))))))))) (let ((_let_2155 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13984 x z) (ho_13984 y z)))) (= x y))))) (let ((_let_2156 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_13985 v ii) (ite (= i ii) e (ho_13985 u ii)))))))))) (let ((_let_2157 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_13985 x z) (ho_13985 y z)))) (= x y))))) (let ((_let_2158 (forall ((u |u_(-> tptp.set_set_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_5856 v ii) (ite (= i ii) e (ho_5856 u ii)))))))))) (let ((_let_2159 (forall ((x |u_(-> tptp.set_set_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_set_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_5856 x z) (ho_5856 y z)))) (= x y))))) (let ((_let_2160 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13978 v ii) (ite (= i ii) e (ho_13978 u ii)))))))))) (let ((_let_2161 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13978 x z) (ho_13978 y z)))) (= x y))))) (let ((_let_2162 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_15203 v ii) (ite (= i ii) e (ho_15203 u ii)))))))))) (let ((_let_2163 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (y |u_(-> tptp.product_prod_o_nat tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_15203 x z) (ho_15203 y z)))) (= x y))))) (let ((_let_2164 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_13979 v ii) (ite (= i ii) e (ho_13979 u ii)))))))))) (let ((_let_2165 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_13979 x z) (ho_13979 y z)))) (= x y))))) (let ((_let_2166 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6870 v ii) (ite (= i ii) e (ho_6870 u ii)))))))))) (let ((_let_2167 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6870 x z) (ho_6870 y z)))) (= x y))))) (let ((_let_2168 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10738 v ii) (ite (= i ii) e (ho_10738 u ii)))))))))) (let ((_let_2169 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10738 x z) (ho_10738 y z)))) (= x y))))) (let ((_let_2170 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13974 v ii) (ite (= i ii) e (ho_13974 u ii)))))))))) (let ((_let_2171 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13974 x z) (ho_13974 y z)))) (= x y))))) (let ((_let_2172 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_13971 v ii) (ite (= i ii) e (ho_13971 u ii)))))))))) (let ((_let_2173 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_13971 x z) (ho_13971 y z)))) (= x y))))) (let ((_let_2174 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13968 v ii) (ite (= i ii) e (ho_13968 u ii)))))))))) (let ((_let_2175 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13968 x z) (ho_13968 y z)))) (= x y))))) (let ((_let_2176 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13969 v ii) (ite (= i ii) e (ho_13969 u ii)))))))))) (let ((_let_2177 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13969 x z) (ho_13969 y z)))) (= x y))))) (let ((_let_2178 (forall ((u |u_(-> tptp.set_Pr1763845938948868674it_nat Bool)|) (e Bool) (i tptp.set_Pr1763845938948868674it_nat)) (not (forall ((v |u_(-> tptp.set_Pr1763845938948868674it_nat Bool)|)) (not (forall ((ii tptp.set_Pr1763845938948868674it_nat)) (= (ho_14961 v ii) (ite (= i ii) e (ho_14961 u ii)))))))))) (let ((_let_2179 (forall ((x |u_(-> tptp.set_Pr1763845938948868674it_nat Bool)|) (y |u_(-> tptp.set_Pr1763845938948868674it_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1763845938948868674it_nat)) (= (ho_14961 x z) (ho_14961 y z)))) (= x y))))) (let ((_let_2180 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13966 v ii) (ite (= i ii) e (ho_13966 u ii)))))))))) (let ((_let_2181 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13966 x z) (ho_13966 y z)))) (= x y))))) (let ((_let_2182 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13960 v ii) (ite (= i ii) e (ho_13960 u ii)))))))))) (let ((_let_2183 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13960 x z) (ho_13960 y z)))) (= x y))))) (let ((_let_2184 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13961 v ii) (ite (= i ii) e (ho_13961 u ii)))))))))) (let ((_let_2185 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13961 x z) (ho_13961 y z)))) (= x y))))) (let ((_let_2186 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13962 v ii) (ite (= i ii) e (ho_13962 u ii)))))))))) (let ((_let_2187 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13962 x z) (ho_13962 y z)))) (= x y))))) (let ((_let_2188 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13946 v ii) (ite (= i ii) e (ho_13946 u ii)))))))))) (let ((_let_2189 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13946 x z) (ho_13946 y z)))) (= x y))))) (let ((_let_2190 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_13943 v ii) (ite (= i ii) e (ho_13943 u ii)))))))))) (let ((_let_2191 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_13943 x z) (ho_13943 y z)))) (= x y))))) (let ((_let_2192 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|) (e |u_(-> tptp.nat tptp.rat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13944 v ii) (ite (= i ii) e (ho_13944 u ii)))))))))) (let ((_let_2193 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13944 x z) (ho_13944 y z)))) (= x y))))) (let ((_let_2194 (forall ((u |u_(-> tptp.nat tptp.rat Bool)|) (e |u_(-> tptp.rat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.rat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_16132 v ii) (ite (= i ii) e (ho_16132 u ii)))))))))) (let ((_let_2195 (forall ((x |u_(-> tptp.nat tptp.rat Bool)|) (y |u_(-> tptp.nat tptp.rat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_16132 x z) (ho_16132 y z)))) (= x y))))) (let ((_let_2196 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|) (i |u_(-> tptp.product_prod_int_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.int)|)) (= (ho_14989 v ii) (ite (= i ii) e (ho_14989 u ii)))))))))) (let ((_let_2197 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.int)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.int)|)) (= (ho_14989 x z) (ho_14989 y z)))) (= x y))))) (let ((_let_2198 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_13940 v ii) (ite (= i ii) e (ho_13940 u ii)))))))))) (let ((_let_2199 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_13940 x z) (ho_13940 y z)))) (= x y))))) (let ((_let_2200 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (= (ho_14483 v ii) (ite (= i ii) e (ho_14483 u ii)))))))))) (let ((_let_2201 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (= (ho_14483 x z) (ho_14483 y z)))) (= x y))))) (let ((_let_2202 (forall ((u |u_(-> _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat Bool)|)) (= (ho_13941 v ii) (ite (= i ii) e (ho_13941 u ii)))))))))) (let ((_let_2203 (forall ((x |u_(-> _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat Bool)|)) (= (ho_13941 x z) (ho_13941 y z)))) (= x y))))) (let ((_let_2204 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|) (e |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_13936 v ii) (ite (= i ii) e (ho_13936 u ii)))))))))) (let ((_let_2205 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_13936 x z) (ho_13936 y z)))) (= x y))))) (let ((_let_2206 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|) (e |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (= (ho_14475 v ii) (ite (= i ii) e (ho_14475 u ii)))))))))) (let ((_let_2207 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)_ tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (= (ho_14475 x z) (ho_14475 y z)))) (= x y))))) (let ((_let_2208 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|) (e |u_(-> Bool tptp.rat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_13937 v ii) (ite (= i ii) e (ho_13937 u ii)))))))))) (let ((_let_2209 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_13937 x z) (ho_13937 y z)))) (= x y))))) (let ((_let_2210 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_13932 v ii) (ite (= i ii) e (ho_13932 u ii)))))))))) (let ((_let_2211 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_13932 x z) (ho_13932 y z)))) (= x y))))) (let ((_let_2212 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10193 v ii) (ite (= i ii) e (ho_10193 u ii)))))))))) (let ((_let_2213 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10193 x z) (ho_10193 y z)))) (= x y))))) (let ((_let_2214 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13933 v ii) (ite (= i ii) e (ho_13933 u ii)))))))))) (let ((_let_2215 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13933 x z) (ho_13933 y z)))) (= x y))))) (let ((_let_2216 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_13929 v ii) (ite (= i ii) e (ho_13929 u ii)))))))))) (let ((_let_2217 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_13929 x z) (ho_13929 y z)))) (= x y))))) (let ((_let_2218 (forall ((u |u_(-> tptp.int tptp.rat Bool)|) (e |u_(-> tptp.rat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.rat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_16131 v ii) (ite (= i ii) e (ho_16131 u ii)))))))))) (let ((_let_2219 (forall ((x |u_(-> tptp.int tptp.rat Bool)|) (y |u_(-> tptp.int tptp.rat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_16131 x z) (ho_16131 y z)))) (= x y))))) (let ((_let_2220 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_nat tptp.set_set_rat)|) (e |u_(-> tptp.set_nat tptp.set_set_rat)|) (i |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_nat tptp.set_set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_15031 v ii) (ite (= i ii) e (ho_15031 u ii)))))))))) (let ((_let_2221 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_nat tptp.set_set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_nat tptp.set_set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_15031 x z) (ho_15031 y z)))) (= x y))))) (let ((_let_2222 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_13926 v ii) (ite (= i ii) e (ho_13926 u ii)))))))))) (let ((_let_2223 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_13926 x z) (ho_13926 y z)))) (= x y))))) (let ((_let_2224 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_nat tptp.set_set_char)|) (e |u_(-> tptp.set_nat tptp.set_set_char)|) (i |u_(-> tptp.nat tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_nat tptp.set_set_char)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_char)|)) (= (ho_15020 v ii) (ite (= i ii) e (ho_15020 u ii)))))))))) (let ((_let_2225 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_nat tptp.set_set_char)|) (y |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_nat tptp.set_set_char)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_char)|)) (= (ho_15020 x z) (ho_15020 y z)))) (= x y))))) (let ((_let_2226 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char Bool)|)) (= (ho_13927 v ii) (ite (= i ii) e (ho_13927 u ii)))))))))) (let ((_let_2227 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char Bool)|)) (= (ho_13927 x z) (ho_13927 y z)))) (= x y))))) (let ((_let_2228 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13921 v ii) (ite (= i ii) e (ho_13921 u ii)))))))))) (let ((_let_2229 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13921 x z) (ho_13921 y z)))) (= x y))))) (let ((_let_2230 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_int)_ tptp.set_nat tptp.set_Pr3594552606344371909at_int)|) (e |u_(-> tptp.set_nat tptp.set_Pr3594552606344371909at_int)|) (i |u_(-> tptp.nat tptp.product_prod_rat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_int)_ tptp.set_nat tptp.set_Pr3594552606344371909at_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_rat_int)|)) (= (ho_15406 v ii) (ite (= i ii) e (ho_15406 u ii)))))))))) (let ((_let_2231 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_int)_ tptp.set_nat tptp.set_Pr3594552606344371909at_int)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_int)_ tptp.set_nat tptp.set_Pr3594552606344371909at_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_rat_int)|)) (= (ho_15406 x z) (ho_15406 y z)))) (= x y))))) (let ((_let_2232 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> tptp.int tptp.num Bool)|) (i |u_(-> tptp.nat tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char Bool)|)) (= (ho_13923 v ii) (ite (= i ii) e (ho_13923 u ii)))))))))) (let ((_let_2233 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char Bool)|)) (= (ho_13923 x z) (ho_13923 y z)))) (= x y))))) (let ((_let_2234 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_nat)_ tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|) (i |u_(-> tptp.nat tptp.product_prod_rat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_nat)_ tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_rat_nat)|)) (= (ho_15403 v ii) (ite (= i ii) e (ho_15403 u ii)))))))))) (let ((_let_2235 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_nat)_ tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_rat_nat)_ tptp.set_nat tptp.set_Pr6084635751276098665at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_rat_nat)|)) (= (ho_15403 x z) (ho_15403 y z)))) (= x y))))) (let ((_let_2236 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|) (e |u_(-> tptp.nat tptp.char Bool)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_13919 v ii) (ite (= i ii) e (ho_13919 u ii)))))))))) (let ((_let_2237 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_13919 x z) (ho_13919 y z)))) (= x y))))) (let ((_let_2238 (forall ((u |u_(-> tptp.nat tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.char Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_16130 v ii) (ite (= i ii) e (ho_16130 u ii)))))))))) (let ((_let_2239 (forall ((x |u_(-> tptp.nat tptp.char Bool)|) (y |u_(-> tptp.nat tptp.char Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_16130 x z) (ho_16130 y z)))) (= x y))))) (let ((_let_2240 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_13915 v ii) (ite (= i ii) e (ho_13915 u ii)))))))))) (let ((_let_2241 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_13915 x z) (ho_13915 y z)))) (= x y))))) (let ((_let_2242 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13911 v ii) (ite (= i ii) e (ho_13911 u ii)))))))))) (let ((_let_2243 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13911 x z) (ho_13911 y z)))) (= x y))))) (let ((_let_2244 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10189 v ii) (ite (= i ii) e (ho_10189 u ii)))))))))) (let ((_let_2245 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10189 x z) (ho_10189 y z)))) (= x y))))) (let ((_let_2246 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_13912 v ii) (ite (= i ii) e (ho_13912 u ii)))))))))) (let ((_let_2247 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_13912 x z) (ho_13912 y z)))) (= x y))))) (let ((_let_2248 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12193 v ii) (ite (= i ii) e (ho_12193 u ii)))))))))) (let ((_let_2249 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12193 x z) (ho_12193 y z)))) (= x y))))) (let ((_let_2250 (forall ((u |u_(-> _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char Bool)|)) (= (ho_13913 v ii) (ite (= i ii) e (ho_13913 u ii)))))))))) (let ((_let_2251 (forall ((x |u_(-> _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.char Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char Bool)|)) (= (ho_13913 x z) (ho_13913 y z)))) (= x y))))) (let ((_let_2252 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (= (ho_12194 v ii) (ite (= i ii) e (ho_12194 u ii)))))))))) (let ((_let_2253 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (= (ho_12194 x z) (ho_12194 y z)))) (= x y))))) (let ((_let_2254 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_13904 v ii) (ite (= i ii) e (ho_13904 u ii)))))))))) (let ((_let_2255 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_13904 x z) (ho_13904 y z)))) (= x y))))) (let ((_let_2256 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_13905 v ii) (ite (= i ii) e (ho_13905 u ii)))))))))) (let ((_let_2257 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_13905 x z) (ho_13905 y z)))) (= x y))))) (let ((_let_2258 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|) (e |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_13901 v ii) (ite (= i ii) e (ho_13901 u ii)))))))))) (let ((_let_2259 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_13901 x z) (ho_13901 y z)))) (= x y))))) (let ((_let_2260 (forall ((u |u_(-> tptp.int tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.char Bool)|)) (not (forall ((ii tptp.int)) (= (ho_16129 v ii) (ite (= i ii) e (ho_16129 u ii)))))))))) (let ((_let_2261 (forall ((x |u_(-> tptp.int tptp.char Bool)|) (y |u_(-> tptp.int tptp.char Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_16129 x z) (ho_16129 y z)))) (= x y))))) (let ((_let_2262 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4667 v ii) (ite (= i ii) e (ho_4667 u ii)))))))))) (let ((_let_2263 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4667 x z) (ho_4667 y z)))) (= x y))))) (let ((_let_2264 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o tptp.set_Product_unit)|) (e |u_(-> tptp.set_o tptp.set_Product_unit)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_14420 v ii) (ite (= i ii) e (ho_14420 u ii)))))))))) (let ((_let_2265 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o tptp.set_Product_unit)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_14420 x z) (ho_14420 y z)))) (= x y))))) (let ((_let_2266 (forall ((u |u_(-> tptp.set_na7251125088705586816nt_int Bool)|) (e Bool) (i tptp.set_na7251125088705586816nt_int)) (not (forall ((v |u_(-> tptp.set_na7251125088705586816nt_int Bool)|)) (not (forall ((ii tptp.set_na7251125088705586816nt_int)) (= (ho_13656 v ii) (ite (= i ii) e (ho_13656 u ii)))))))))) (let ((_let_2267 (forall ((x |u_(-> tptp.set_na7251125088705586816nt_int Bool)|) (y |u_(-> tptp.set_na7251125088705586816nt_int Bool)|)) (or (not (forall ((z tptp.set_na7251125088705586816nt_int)) (= (ho_13656 x z) (ho_13656 y z)))) (= x y))))) (let ((_let_2268 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13895 v ii) (ite (= i ii) e (ho_13895 u ii)))))))))) (let ((_let_2269 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13895 x z) (ho_13895 y z)))) (= x y))))) (let ((_let_2270 (forall ((u |u_(-> tptp.set_nat_int tptp.set_int_nat)|) (e tptp.set_int_nat) (i tptp.set_nat_int)) (not (forall ((v |u_(-> tptp.set_nat_int tptp.set_int_nat)|)) (not (forall ((ii tptp.set_nat_int)) (= (ho_15848 v ii) (ite (= i ii) e (ho_15848 u ii)))))))))) (let ((_let_2271 (forall ((x |u_(-> tptp.set_nat_int tptp.set_int_nat)|) (y |u_(-> tptp.set_nat_int tptp.set_int_nat)|)) (or (not (forall ((z tptp.set_nat_int)) (= (ho_15848 x z) (ho_15848 y z)))) (= x y))))) (let ((_let_2272 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_13888 v ii) (ite (= i ii) e (ho_13888 u ii)))))))))) (let ((_let_2273 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_13888 x z) (ho_13888 y z)))) (= x y))))) (let ((_let_2274 (forall ((u |u_(-> tptp.nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_5033 v ii) (ite (= i ii) e (ho_5033 u ii)))))))))) (let ((_let_2275 (forall ((x |u_(-> tptp.nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_5033 x z) (ho_5033 y z)))) (= x y))))) (let ((_let_2276 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5585 v ii) (ite (= i ii) e (ho_5585 u ii)))))))))) (let ((_let_2277 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5585 x z) (ho_5585 y z)))) (= x y))))) (let ((_let_2278 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|) (e |u_(-> tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13889 v ii) (ite (= i ii) e (ho_13889 u ii)))))))))) (let ((_let_2279 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13889 x z) (ho_13889 y z)))) (= x y))))) (let ((_let_2280 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13886 v ii) (ite (= i ii) e (ho_13886 u ii)))))))))) (let ((_let_2281 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13886 x z) (ho_13886 y z)))) (= x y))))) (let ((_let_2282 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13880 v ii) (ite (= i ii) e (ho_13880 u ii)))))))))) (let ((_let_2283 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13880 x z) (ho_13880 y z)))) (= x y))))) (let ((_let_2284 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_13876 v ii) (ite (= i ii) e (ho_13876 u ii)))))))))) (let ((_let_2285 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_13876 x z) (ho_13876 y z)))) (= x y))))) (let ((_let_2286 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13877 v ii) (ite (= i ii) e (ho_13877 u ii)))))))))) (let ((_let_2287 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13877 x z) (ho_13877 y z)))) (= x y))))) (let ((_let_2288 (forall ((u |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr3280342998896498603um_nat Bool)|) (e |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|) (i tptp.set_Pr3280342998896498603um_nat)) (not (forall ((v |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr3280342998896498603um_nat Bool)|)) (not (forall ((ii tptp.set_Pr3280342998896498603um_nat)) (= (ho_13874 v ii) (ite (= i ii) e (ho_13874 u ii)))))))))) (let ((_let_2289 (forall ((x |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr3280342998896498603um_nat Bool)|) (y |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr3280342998896498603um_nat Bool)|)) (or (not (forall ((z tptp.set_Pr3280342998896498603um_nat)) (= (ho_13874 x z) (ho_13874 y z)))) (= x y))))) (let ((_let_2290 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat Bool)_ tptp.set_Pr3280342998896498603um_nat)|) (e tptp.set_Pr3280342998896498603um_nat) (i |u_(-> tptp.product_prod_num_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat Bool)_ tptp.set_Pr3280342998896498603um_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat Bool)|)) (= (ho_13872 v ii) (ite (= i ii) e (ho_13872 u ii)))))))))) (let ((_let_2291 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat Bool)_ tptp.set_Pr3280342998896498603um_nat)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat Bool)_ tptp.set_Pr3280342998896498603um_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat Bool)|)) (= (ho_13872 x z) (ho_13872 y z)))) (= x y))))) (let ((_let_2292 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.product_prod_num_nat Bool)|) (e |u_(-> tptp.product_prod_num_nat Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.product_prod_num_nat Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_13870 v ii) (ite (= i ii) e (ho_13870 u ii)))))))))) (let ((_let_2293 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.product_prod_num_nat Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ tptp.product_prod_num_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_13870 x z) (ho_13870 y z)))) (= x y))))) (let ((_let_2294 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13572 v ii) (ite (= i ii) e (ho_13572 u ii)))))))))) (let ((_let_2295 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13572 x z) (ho_13572 y z)))) (= x y))))) (let ((_let_2296 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.nat Bool)|) (e |u_(-> tptp.num tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_13868 v ii) (ite (= i ii) e (ho_13868 u ii)))))))))) (let ((_let_2297 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_13868 x z) (ho_13868 y z)))) (= x y))))) (let ((_let_2298 (forall ((u |u_(-> tptp.product_prod_num_nat Bool)|) (e Bool) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat Bool)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_16128 v ii) (ite (= i ii) e (ho_16128 u ii)))))))))) (let ((_let_2299 (forall ((x |u_(-> tptp.product_prod_num_nat Bool)|) (y |u_(-> tptp.product_prod_num_nat Bool)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_16128 x z) (ho_16128 y z)))) (= x y))))) (let ((_let_2300 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.int Bool)|) (e |u_(-> tptp.code_integer tptp.int Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13863 v ii) (ite (= i ii) e (ho_13863 u ii)))))))))) (let ((_let_2301 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13863 x z) (ho_13863 y z)))) (= x y))))) (let ((_let_2302 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|) (e |u_(-> tptp.code_integer tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13859 v ii) (ite (= i ii) e (ho_13859 u ii)))))))))) (let ((_let_2303 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13859 x z) (ho_13859 y z)))) (= x y))))) (let ((_let_2304 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_15793 v ii) (ite (= i ii) e (ho_15793 u ii)))))))))) (let ((_let_2305 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_15793 x z) (ho_15793 y z)))) (= x y))))) (let ((_let_2306 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|)) (= (ho_13851 v ii) (ite (= i ii) e (ho_13851 u ii)))))))))) (let ((_let_2307 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|)) (= (ho_13851 x z) (ho_13851 y z)))) (= x y))))) (let ((_let_2308 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr2560585780119916871nt_int)|) (e tptp.set_Pr2560585780119916871nt_int) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr2560585780119916871nt_int)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_13849 v ii) (ite (= i ii) e (ho_13849 u ii)))))))))) (let ((_let_2309 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr2560585780119916871nt_int)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr2560585780119916871nt_int)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_13849 x z) (ho_13849 y z)))) (= x y))))) (let ((_let_2310 (forall ((u |u_(-> _u_(-> tptp.produc1219242969750017639nt_int Bool)_ tptp.set_Pr2560585780119916871nt_int)|) (e tptp.set_Pr2560585780119916871nt_int) (i |u_(-> tptp.produc1219242969750017639nt_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1219242969750017639nt_int Bool)_ tptp.set_Pr2560585780119916871nt_int)|)) (not (forall ((ii |u_(-> tptp.produc1219242969750017639nt_int Bool)|)) (= (ho_13847 v ii) (ite (= i ii) e (ho_13847 u ii)))))))))) (let ((_let_2311 (forall ((x |u_(-> _u_(-> tptp.produc1219242969750017639nt_int Bool)_ tptp.set_Pr2560585780119916871nt_int)|) (y |u_(-> _u_(-> tptp.produc1219242969750017639nt_int Bool)_ tptp.set_Pr2560585780119916871nt_int)|)) (or (not (forall ((z |u_(-> tptp.produc1219242969750017639nt_int Bool)|)) (= (ho_13847 x z) (ho_13847 y z)))) (= x y))))) (let ((_let_2312 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.produc1219242969750017639nt_int Bool)|) (e |u_(-> tptp.produc1219242969750017639nt_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.produc1219242969750017639nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (= (ho_13845 v ii) (ite (= i ii) e (ho_13845 u ii)))))))))) (let ((_let_2313 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.produc1219242969750017639nt_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.produc1219242969750017639nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (= (ho_13845 x z) (ho_13845 y z)))) (= x y))))) (let ((_let_2314 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat)|) (e tptp.set_rat) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_13843 v ii) (ite (= i ii) e (ho_13843 u ii)))))))))) (let ((_let_2315 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat)|) (y |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_13843 x z) (ho_13843 y z)))) (= x y))))) (let ((_let_2316 (forall ((u |u_(-> tptp.set_Pr8218934625190621173um_num Bool)|) (e Bool) (i tptp.set_Pr8218934625190621173um_num)) (not (forall ((v |u_(-> tptp.set_Pr8218934625190621173um_num Bool)|)) (not (forall ((ii tptp.set_Pr8218934625190621173um_num)) (= (ho_10497 v ii) (ite (= i ii) e (ho_10497 u ii)))))))))) (let ((_let_2317 (forall ((x |u_(-> tptp.set_Pr8218934625190621173um_num Bool)|) (y |u_(-> tptp.set_Pr8218934625190621173um_num Bool)|)) (or (not (forall ((z tptp.set_Pr8218934625190621173um_num)) (= (ho_10497 x z) (ho_10497 y z)))) (= x y))))) (let ((_let_2318 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|)) (= (ho_13841 v ii) (ite (= i ii) e (ho_13841 u ii)))))))))) (let ((_let_2319 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|)) (= (ho_13841 x z) (ho_13841 y z)))) (= x y))))) (let ((_let_2320 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_o)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_13838 v ii) (ite (= i ii) e (ho_13838 u ii)))))))))) (let ((_let_2321 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_o)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_13838 x z) (ho_13838 y z)))) (= x y))))) (let ((_let_2322 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_13834 v ii) (ite (= i ii) e (ho_13834 u ii)))))))))) (let ((_let_2323 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_13834 x z) (ho_13834 y z)))) (= x y))))) (let ((_let_2324 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5726 v ii) (ite (= i ii) e (ho_5726 u ii)))))))))) (let ((_let_2325 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5726 x z) (ho_5726 y z)))) (= x y))))) (let ((_let_2326 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.int tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.nat)|)) (= (ho_13832 v ii) (ite (= i ii) e (ho_13832 u ii)))))))))) (let ((_let_2327 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.nat)|)) (= (ho_13832 x z) (ho_13832 y z)))) (= x y))))) (let ((_let_2328 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> tptp.int tptp.num Bool)|) (i |u_(-> tptp.nat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat Bool)|)) (= (ho_13948 v ii) (ite (= i ii) e (ho_13948 u ii)))))))))) (let ((_let_2329 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat Bool)|)) (= (ho_13948 x z) (ho_13948 y z)))) (= x y))))) (let ((_let_2330 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int)|) (i |u_(-> tptp.nat tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.int)|)) (= (ho_13827 v ii) (ite (= i ii) e (ho_13827 u ii)))))))))) (let ((_let_2331 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.int)|)) (= (ho_13827 x z) (ho_13827 y z)))) (= x y))))) (let ((_let_2332 (forall ((u |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (i |u_(-> tptp.num tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.rat)|)) (= (ho_13947 v ii) (ite (= i ii) e (ho_13947 u ii)))))))))) (let ((_let_2333 (forall ((x |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.rat)|)) (= (ho_13947 x z) (ho_13947 y z)))) (= x y))))) (let ((_let_2334 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_13823 v ii) (ite (= i ii) e (ho_13823 u ii)))))))))) (let ((_let_2335 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_13823 x z) (ho_13823 y z)))) (= x y))))) (let ((_let_2336 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_9859 v ii) (ite (= i ii) e (ho_9859 u ii)))))))))) (let ((_let_2337 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_9859 x z) (ho_9859 y z)))) (= x y))))) (let ((_let_2338 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13951 v ii) (ite (= i ii) e (ho_13951 u ii)))))))))) (let ((_let_2339 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13951 x z) (ho_13951 y z)))) (= x y))))) (let ((_let_2340 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.int)_ tptp.set_Pr6200539531224447659at_num tptp.set_int)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_int)|) (i |u_(-> tptp.product_prod_nat_num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.int)_ tptp.set_Pr6200539531224447659at_num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.int)|)) (= (ho_13820 v ii) (ite (= i ii) e (ho_13820 u ii)))))))))) (let ((_let_2341 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.int)_ tptp.set_Pr6200539531224447659at_num tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.int)_ tptp.set_Pr6200539531224447659at_num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.int)|)) (= (ho_13820 x z) (ho_13820 y z)))) (= x y))))) (let ((_let_2342 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.int)|) (e |u_(-> tptp.product_prod_nat_num tptp.int)|) (i |u_(-> tptp.nat tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.int)|)) (= (ho_13818 v ii) (ite (= i ii) e (ho_13818 u ii)))))))))) (let ((_let_2343 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.int)|)) (= (ho_13818 x z) (ho_13818 y z)))) (= x y))))) (let ((_let_2344 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7555 v ii) (ite (= i ii) e (ho_7555 u ii)))))))))) (let ((_let_2345 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7555 x z) (ho_7555 y z)))) (= x y))))) (let ((_let_2346 (forall ((u |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|) (e tptp.set_Pr6084635751276098665at_nat) (i |u_(-> tptp.rat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_14432 v ii) (ite (= i ii) e (ho_14432 u ii)))))))))) (let ((_let_2347 (forall ((x |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|) (y |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_14432 x z) (ho_14432 y z)))) (= x y))))) (let ((_let_2348 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_nat)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (= (ho_13814 v ii) (ite (= i ii) e (ho_13814 u ii)))))))))) (let ((_let_2349 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (= (ho_13814 x z) (ho_13814 y z)))) (= x y))))) (let ((_let_2350 (forall ((u |u_(-> tptp.set_nat_nat Bool)|) (e Bool) (i tptp.set_nat_nat)) (not (forall ((v |u_(-> tptp.set_nat_nat Bool)|)) (not (forall ((ii tptp.set_nat_nat)) (= (ho_15343 v ii) (ite (= i ii) e (ho_15343 u ii)))))))))) (let ((_let_2351 (forall ((x |u_(-> tptp.set_nat_nat Bool)|) (y |u_(-> tptp.set_nat_nat Bool)|)) (or (not (forall ((z tptp.set_nat_nat)) (= (ho_15343 x z) (ho_15343 y z)))) (= x y))))) (let ((_let_2352 (forall ((u |u_(-> tptp.nat tptp.num tptp.nat)|) (e |u_(-> tptp.num tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_13810 v ii) (ite (= i ii) e (ho_13810 u ii)))))))))) (let ((_let_2353 (forall ((x |u_(-> tptp.nat tptp.num tptp.nat)|) (y |u_(-> tptp.nat tptp.num tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_13810 x z) (ho_13810 y z)))) (= x y))))) (let ((_let_2354 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num tptp.set_o)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_o)|) (i |u_(-> tptp.product_prod_nat_num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_13808 v ii) (ite (= i ii) e (ho_13808 u ii)))))))))) (let ((_let_2355 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_13808 x z) (ho_13808 y z)))) (= x y))))) (let ((_let_2356 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|) (e tptp.produc1799199577659733785_ref_a) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_10652 v ii) (ite (= i ii) e (ho_10652 u ii)))))))))) (let ((_let_2357 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_10652 x z) (ho_10652 y z)))) (= x y))))) (let ((_let_2358 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8263 v ii) (ite (= i ii) e (ho_8263 u ii)))))))))) (let ((_let_2359 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8263 x z) (ho_8263 y z)))) (= x y))))) (let ((_let_2360 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_o)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_13809 v ii) (ite (= i ii) e (ho_13809 u ii)))))))))) (let ((_let_2361 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_o)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_13809 x z) (ho_13809 y z)))) (= x y))))) (let ((_let_2362 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_8981 v ii) (ite (= i ii) e (ho_8981 u ii)))))))))) (let ((_let_2363 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_8981 x z) (ho_8981 y z)))) (= x y))))) (let ((_let_2364 (forall ((u |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o Bool)|) (e |u_(-> tptp.set_Product_prod_o_o Bool)|) (i tptp.product_prod_o_o)) (not (forall ((v |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o Bool)|)) (not (forall ((ii tptp.product_prod_o_o)) (= (ho_13805 v ii) (ite (= i ii) e (ho_13805 u ii)))))))))) (let ((_let_2365 (forall ((x |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o Bool)|) (y |u_(-> tptp.product_prod_o_o tptp.set_Product_prod_o_o Bool)|)) (or (not (forall ((z tptp.product_prod_o_o)) (= (ho_13805 x z) (ho_13805 y z)))) (= x y))))) (let ((_let_2366 (forall ((u |u_(-> tptp.set_Product_prod_o_o Bool)|) (e Bool) (i tptp.set_Product_prod_o_o)) (not (forall ((v |u_(-> tptp.set_Product_prod_o_o Bool)|)) (not (forall ((ii tptp.set_Product_prod_o_o)) (= (ho_13806 v ii) (ite (= i ii) e (ho_13806 u ii)))))))))) (let ((_let_2367 (forall ((x |u_(-> tptp.set_Product_prod_o_o Bool)|) (y |u_(-> tptp.set_Product_prod_o_o Bool)|)) (or (not (forall ((z tptp.set_Product_prod_o_o)) (= (ho_13806 x z) (ho_13806 y z)))) (= x y))))) (let ((_let_2368 (forall ((u |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat Bool)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|) (i tptp.produc1906917888121415911at_nat)) (not (forall ((v |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat Bool)|)) (not (forall ((ii tptp.produc1906917888121415911at_nat)) (= (ho_13798 v ii) (ite (= i ii) e (ho_13798 u ii)))))))))) (let ((_let_2369 (forall ((x |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat Bool)|) (y |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat Bool)|)) (or (not (forall ((z tptp.produc1906917888121415911at_nat)) (= (ho_13798 x z) (ho_13798 y z)))) (= x y))))) (let ((_let_2370 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|) (e |u_(-> Bool tptp.set_rat)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_14337 v ii) (ite (= i ii) e (ho_14337 u ii)))))))))) (let ((_let_2371 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|) (y |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_14337 x z) (ho_14337 y z)))) (= x y))))) (let ((_let_2372 (forall ((u |u_(-> tptp.int tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.set_int)|)) (not (forall ((ii tptp.int)) (= (ho_12162 v ii) (ite (= i ii) e (ho_12162 u ii)))))))))) (let ((_let_2373 (forall ((x |u_(-> tptp.int tptp.int tptp.set_int)|) (y |u_(-> tptp.int tptp.int tptp.set_int)|)) (or (not (forall ((z tptp.int)) (= (ho_12162 x z) (ho_12162 y z)))) (= x y))))) (let ((_let_2374 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_6536 v ii) (ite (= i ii) e (ho_6536 u ii)))))))))) (let ((_let_2375 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_6536 x z) (ho_6536 y z)))) (= x y))))) (let ((_let_2376 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat)|) (e tptp.set_Pr5564308138774400199at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_13793 v ii) (ite (= i ii) e (ho_13793 u ii)))))))))) (let ((_let_2377 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr5564308138774400199at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_13793 x z) (ho_13793 y z)))) (= x y))))) (let ((_let_2378 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5593 v ii) (ite (= i ii) e (ho_5593 u ii)))))))))) (let ((_let_2379 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5593 x z) (ho_5593 y z)))) (= x y))))) (let ((_let_2380 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13790 v ii) (ite (= i ii) e (ho_13790 u ii)))))))))) (let ((_let_2381 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13790 x z) (ho_13790 y z)))) (= x y))))) (let ((_let_2382 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_13791 v ii) (ite (= i ii) e (ho_13791 u ii)))))))))) (let ((_let_2383 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_13791 x z) (ho_13791 y z)))) (= x y))))) (let ((_let_2384 (forall ((u |u_(-> tptp.set_nat tptp.set_set_Product_unit)|) (e tptp.set_set_Product_unit) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15071 v ii) (ite (= i ii) e (ho_15071 u ii)))))))))) (let ((_let_2385 (forall ((x |u_(-> tptp.set_nat tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_nat tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15071 x z) (ho_15071 y z)))) (= x y))))) (let ((_let_2386 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13788 v ii) (ite (= i ii) e (ho_13788 u ii)))))))))) (let ((_let_2387 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13788 x z) (ho_13788 y z)))) (= x y))))) (let ((_let_2388 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13784 v ii) (ite (= i ii) e (ho_13784 u ii)))))))))) (let ((_let_2389 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13784 x z) (ho_13784 y z)))) (= x y))))) (let ((_let_2390 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13781 v ii) (ite (= i ii) e (ho_13781 u ii)))))))))) (let ((_let_2391 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13781 x z) (ho_13781 y z)))) (= x y))))) (let ((_let_2392 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13782 v ii) (ite (= i ii) e (ho_13782 u ii)))))))))) (let ((_let_2393 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13782 x z) (ho_13782 y z)))) (= x y))))) (let ((_let_2394 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13778 v ii) (ite (= i ii) e (ho_13778 u ii)))))))))) (let ((_let_2395 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13778 x z) (ho_13778 y z)))) (= x y))))) (let ((_let_2396 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13776 v ii) (ite (= i ii) e (ho_13776 u ii)))))))))) (let ((_let_2397 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13776 x z) (ho_13776 y z)))) (= x y))))) (let ((_let_2398 (forall ((u |u_(-> tptp.set_nat_int Bool)|) (e Bool) (i tptp.set_nat_int)) (not (forall ((v |u_(-> tptp.set_nat_int Bool)|)) (not (forall ((ii tptp.set_nat_int)) (= (ho_15525 v ii) (ite (= i ii) e (ho_15525 u ii)))))))))) (let ((_let_2399 (forall ((x |u_(-> tptp.set_nat_int Bool)|) (y |u_(-> tptp.set_nat_int Bool)|)) (or (not (forall ((z tptp.set_nat_int)) (= (ho_15525 x z) (ho_15525 y z)))) (= x y))))) (let ((_let_2400 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7408 v ii) (ite (= i ii) e (ho_7408 u ii)))))))))) (let ((_let_2401 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7408 x z) (ho_7408 y z)))) (= x y))))) (let ((_let_2402 (forall ((u |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|) (i |u_(-> tptp.num tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.rat)|)) (= (ho_13772 v ii) (ite (= i ii) e (ho_13772 u ii)))))))))) (let ((_let_2403 (forall ((x |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.num tptp.rat)_ _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.rat)|)) (= (ho_13772 x z) (ho_13772 y z)))) (= x y))))) (let ((_let_2404 (forall ((u |u_(-> _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i |u_(-> tptp.rat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.num)|)) (= (ho_13773 v ii) (ite (= i ii) e (ho_13773 u ii)))))))))) (let ((_let_2405 (forall ((x |u_(-> _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.num)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.num)|)) (= (ho_13773 x z) (ho_13773 y z)))) (= x y))))) (let ((_let_2406 (forall ((u |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|) (i |u_(-> tptp.rat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.rat tptp.num)|)) (= (ho_13769 v ii) (ite (= i ii) e (ho_13769 u ii)))))))))) (let ((_let_2407 (forall ((x |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.num)|)) (= (ho_13769 x z) (ho_13769 y z)))) (= x y))))) (let ((_let_2408 (forall ((u |u_(-> tptp.num tptp.rat)|) (e tptp.rat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.rat)|)) (not (forall ((ii tptp.num)) (= (ho_13767 v ii) (ite (= i ii) e (ho_13767 u ii)))))))))) (let ((_let_2409 (forall ((x |u_(-> tptp.num tptp.rat)|) (y |u_(-> tptp.num tptp.rat)|)) (or (not (forall ((z tptp.num)) (= (ho_13767 x z) (ho_13767 y z)))) (= x y))))) (let ((_let_2410 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|) (e |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_13765 v ii) (ite (= i ii) e (ho_13765 u ii)))))))))) (let ((_let_2411 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_13765 x z) (ho_13765 y z)))) (= x y))))) (let ((_let_2412 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_13766 v ii) (ite (= i ii) e (ho_13766 u ii)))))))))) (let ((_let_2413 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_13766 x z) (ho_13766 y z)))) (= x y))))) (let ((_let_2414 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|) (e |u_(-> tptp.rat tptp.nat)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_13760 v ii) (ite (= i ii) e (ho_13760 u ii)))))))))) (let ((_let_2415 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_13760 x z) (ho_13760 y z)))) (= x y))))) (let ((_let_2416 (forall ((u |u_(-> Bool tptp.set_o tptp.set_o)|) (e |u_(-> tptp.set_o tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_4863 v ii) (ite (= i ii) e (ho_4863 u ii)))))))))) (let ((_let_2417 (forall ((x |u_(-> Bool tptp.set_o tptp.set_o)|) (y |u_(-> Bool tptp.set_o tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_4863 x z) (ho_4863 y z)))) (= x y))))) (let ((_let_2418 (forall ((u |u_(-> tptp.set_int tptp.set_nat_int)|) (e tptp.set_nat_int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_nat_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15522 v ii) (ite (= i ii) e (ho_15522 u ii)))))))))) (let ((_let_2419 (forall ((x |u_(-> tptp.set_int tptp.set_nat_int)|) (y |u_(-> tptp.set_int tptp.set_nat_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15522 x z) (ho_15522 y z)))) (= x y))))) (let ((_let_2420 (forall ((u |u_(-> tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_list_nat)) (not (forall ((v |u_(-> tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_list_nat)) (= (ho_10439 v ii) (ite (= i ii) e (ho_10439 u ii)))))))))) (let ((_let_2421 (forall ((x |u_(-> tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_list_nat)) (= (ho_10439 x z) (ho_10439 y z)))) (= x y))))) (let ((_let_2422 (forall ((u |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|) (e |u_(-> _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|) (i |u_(-> tptp.num tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.char)|)) (= (ho_13756 v ii) (ite (= i ii) e (ho_13756 u ii)))))))))) (let ((_let_2423 (forall ((x |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.char)|)) (= (ho_13756 x z) (ho_13756 y z)))) (= x y))))) (let ((_let_2424 (forall ((u |u_(-> _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i |u_(-> tptp.char tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.num)|)) (= (ho_13757 v ii) (ite (= i ii) e (ho_13757 u ii)))))))))) (let ((_let_2425 (forall ((x |u_(-> _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.num)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.num)|)) (= (ho_13757 x z) (ho_13757 y z)))) (= x y))))) (let ((_let_2426 (forall ((u |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|) (i |u_(-> tptp.char tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.char tptp.num)|)) (= (ho_13753 v ii) (ite (= i ii) e (ho_13753 u ii)))))))))) (let ((_let_2427 (forall ((x |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.char tptp.num)|)) (= (ho_13753 x z) (ho_13753 y z)))) (= x y))))) (let ((_let_2428 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.set_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (= (ho_10079 v ii) (ite (= i ii) e (ho_10079 u ii)))))))))) (let ((_let_2429 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (= (ho_10079 x z) (ho_10079 y z)))) (= x y))))) (let ((_let_2430 (forall ((u |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (e tptp.set_Pr6671815714118170108t_unit) (i tptp.set_Pr6671815714118170108t_unit)) (not (forall ((v |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|)) (not (forall ((ii tptp.set_Pr6671815714118170108t_unit)) (= (ho_15206 v ii) (ite (= i ii) e (ho_15206 u ii)))))))))) (let ((_let_2431 (forall ((x |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (y |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|)) (or (not (forall ((z tptp.set_Pr6671815714118170108t_unit)) (= (ho_15206 x z) (ho_15206 y z)))) (= x y))))) (let ((_let_2432 (forall ((u |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|) (i |u_(-> tptp.char tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|)) (not (forall ((ii |u_(-> tptp.char tptp.num)|)) (= (ho_13750 v ii) (ite (= i ii) e (ho_13750 u ii)))))))))) (let ((_let_2433 (forall ((x |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|) (y |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|)) (or (not (forall ((z |u_(-> tptp.char tptp.num)|)) (= (ho_13750 x z) (ho_13750 y z)))) (= x y))))) (let ((_let_2434 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|) (e |u_(-> tptp.char tptp.num)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13751 v ii) (ite (= i ii) e (ho_13751 u ii)))))))))) (let ((_let_2435 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.num)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13751 x z) (ho_13751 y z)))) (= x y))))) (let ((_let_2436 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.char Bool)_ tptp.set_char Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.char Bool)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_13746 v ii) (ite (= i ii) e (ho_13746 u ii)))))))))) (let ((_let_2437 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.char Bool)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.char Bool)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_13746 x z) (ho_13746 y z)))) (= x y))))) (let ((_let_2438 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_rat tptp.product_unit tptp.set_rat)|) (e |u_(-> tptp.set_rat tptp.product_unit tptp.set_rat)|) (i |u_(-> tptp.product_unit tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_rat tptp.product_unit tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_8812 v ii) (ite (= i ii) e (ho_8812 u ii)))))))))) (let ((_let_2439 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_rat tptp.product_unit tptp.set_rat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_rat tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_8812 x z) (ho_8812 y z)))) (= x y))))) (let ((_let_2440 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13747 v ii) (ite (= i ii) e (ho_13747 u ii)))))))))) (let ((_let_2441 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13747 x z) (ho_13747 y z)))) (= x y))))) (let ((_let_2442 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.char)_ tptp.char Bool)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.char)_ tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13743 v ii) (ite (= i ii) e (ho_13743 u ii)))))))))) (let ((_let_2443 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.char)_ tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.char)_ tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13743 x z) (ho_13743 y z)))) (= x y))))) (let ((_let_2444 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13744 v ii) (ite (= i ii) e (ho_13744 u ii)))))))))) (let ((_let_2445 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13744 x z) (ho_13744 y z)))) (= x y))))) (let ((_let_2446 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_13740 v ii) (ite (= i ii) e (ho_13740 u ii)))))))))) (let ((_let_2447 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_13740 x z) (ho_13740 y z)))) (= x y))))) (let ((_let_2448 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13741 v ii) (ite (= i ii) e (ho_13741 u ii)))))))))) (let ((_let_2449 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13741 x z) (ho_13741 y z)))) (= x y))))) (let ((_let_2450 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13737 v ii) (ite (= i ii) e (ho_13737 u ii)))))))))) (let ((_let_2451 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13737 x z) (ho_13737 y z)))) (= x y))))) (let ((_let_2452 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|) (e tptp.ref_a) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_16127 v ii) (ite (= i ii) e (ho_16127 u ii)))))))))) (let ((_let_2453 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|) (y |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_16127 x z) (ho_16127 y z)))) (= x y))))) (let ((_let_2454 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|) (e |u_(-> tptp.set_num Bool)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13738 v ii) (ite (= i ii) e (ho_13738 u ii)))))))))) (let ((_let_2455 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13738 x z) (ho_13738 y z)))) (= x y))))) (let ((_let_2456 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num Bool)|) (e |u_(-> tptp.set_num Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13735 v ii) (ite (= i ii) e (ho_13735 u ii)))))))))) (let ((_let_2457 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13735 x z) (ho_13735 y z)))) (= x y))))) (let ((_let_2458 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.num)_ Bool Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13731 v ii) (ite (= i ii) e (ho_13731 u ii)))))))))) (let ((_let_2459 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13731 x z) (ho_13731 y z)))) (= x y))))) (let ((_let_2460 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13728 v ii) (ite (= i ii) e (ho_13728 u ii)))))))))) (let ((_let_2461 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13728 x z) (ho_13728 y z)))) (= x y))))) (let ((_let_2462 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_int)|) (e tptp.product_prod_nat_int) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.nat)) (= (ho_10288 v ii) (ite (= i ii) e (ho_10288 u ii)))))))))) (let ((_let_2463 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_int)|) (y |u_(-> tptp.nat tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_10288 x z) (ho_10288 y z)))) (= x y))))) (let ((_let_2464 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_char tptp.set_nat)|) (e |u_(-> tptp.set_char tptp.set_nat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_char tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_15604 v ii) (ite (= i ii) e (ho_15604 u ii)))))))))) (let ((_let_2465 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_char tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_char tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_15604 x z) (ho_15604 y z)))) (= x y))))) (let ((_let_2466 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14504 v ii) (ite (= i ii) e (ho_14504 u ii)))))))))) (let ((_let_2467 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14504 x z) (ho_14504 y z)))) (= x y))))) (let ((_let_2468 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13729 v ii) (ite (= i ii) e (ho_13729 u ii)))))))))) (let ((_let_2469 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13729 x z) (ho_13729 y z)))) (= x y))))) (let ((_let_2470 (forall ((u |u_(-> _u_(-> tptp.set_o Bool Bool)_ tptp.set_set_o tptp.set_o_o)|) (e |u_(-> tptp.set_set_o tptp.set_o_o)|) (i |u_(-> tptp.set_o Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_o Bool Bool)_ tptp.set_set_o tptp.set_o_o)|)) (not (forall ((ii |u_(-> tptp.set_o Bool Bool)|)) (= (ho_6201 v ii) (ite (= i ii) e (ho_6201 u ii)))))))))) (let ((_let_2471 (forall ((x |u_(-> _u_(-> tptp.set_o Bool Bool)_ tptp.set_set_o tptp.set_o_o)|) (y |u_(-> _u_(-> tptp.set_o Bool Bool)_ tptp.set_set_o tptp.set_o_o)|)) (or (not (forall ((z |u_(-> tptp.set_o Bool Bool)|)) (= (ho_6201 x z) (ho_6201 y z)))) (= x y))))) (let ((_let_2472 (forall ((u |u_(-> _u_(-> tptp.num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_num)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_num)|) (i |u_(-> tptp.num tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.product_prod_nat_num)|)) (= (ho_15669 v ii) (ite (= i ii) e (ho_15669 u ii)))))))))) (let ((_let_2473 (forall ((x |u_(-> _u_(-> tptp.num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_num)|) (y |u_(-> _u_(-> tptp.num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.product_prod_nat_num)|)) (= (ho_15669 x z) (ho_15669 y z)))) (= x y))))) (let ((_let_2474 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat Bool)|) (e Bool) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat Bool)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14507 v ii) (ite (= i ii) e (ho_14507 u ii)))))))))) (let ((_let_2475 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat Bool)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat Bool)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14507 x z) (ho_14507 y z)))) (= x y))))) (let ((_let_2476 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_4879 v ii) (ite (= i ii) e (ho_4879 u ii)))))))))) (let ((_let_2477 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_4879 x z) (ho_4879 y z)))) (= x y))))) (let ((_let_2478 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13732 v ii) (ite (= i ii) e (ho_13732 u ii)))))))))) (let ((_let_2479 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.num)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13732 x z) (ho_13732 y z)))) (= x y))))) (let ((_let_2480 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13725 v ii) (ite (= i ii) e (ho_13725 u ii)))))))))) (let ((_let_2481 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13725 x z) (ho_13725 y z)))) (= x y))))) (let ((_let_2482 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|) (e |u_(-> tptp.set_num Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13726 v ii) (ite (= i ii) e (ho_13726 u ii)))))))))) (let ((_let_2483 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13726 x z) (ho_13726 y z)))) (= x y))))) (let ((_let_2484 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ tptp.set_o Bool)|) (e |u_(-> _u_(-> Bool tptp.num)_ tptp.set_o Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13719 v ii) (ite (= i ii) e (ho_13719 u ii)))))))))) (let ((_let_2485 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> Bool tptp.num)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13719 x z) (ho_13719 y z)))) (= x y))))) (let ((_let_2486 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13720 v ii) (ite (= i ii) e (ho_13720 u ii)))))))))) (let ((_let_2487 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool tptp.num)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13720 x z) (ho_13720 y z)))) (= x y))))) (let ((_let_2488 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.set_set_int)|) (e |u_(-> tptp.set_Product_unit tptp.set_set_int)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.set_set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8711 v ii) (ite (= i ii) e (ho_8711 u ii)))))))))) (let ((_let_2489 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.set_set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.set_set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8711 x z) (ho_8711 y z)))) (= x y))))) (let ((_let_2490 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13717 v ii) (ite (= i ii) e (ho_13717 u ii)))))))))) (let ((_let_2491 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num Bool)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13717 x z) (ho_13717 y z)))) (= x y))))) (let ((_let_2492 (forall ((u |u_(-> tptp.set_rat_nat Bool)|) (e Bool) (i tptp.set_rat_nat)) (not (forall ((v |u_(-> tptp.set_rat_nat Bool)|)) (not (forall ((ii tptp.set_rat_nat)) (= (ho_15519 v ii) (ite (= i ii) e (ho_15519 u ii)))))))))) (let ((_let_2493 (forall ((x |u_(-> tptp.set_rat_nat Bool)|) (y |u_(-> tptp.set_rat_nat Bool)|)) (or (not (forall ((z tptp.set_rat_nat)) (= (ho_15519 x z) (ho_15519 y z)))) (= x y))))) (let ((_let_2494 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_int tptp.set_Pr8218934625190621173um_num)|) (e |u_(-> tptp.set_int tptp.set_Pr8218934625190621173um_num)|) (i |u_(-> tptp.int tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_int tptp.set_Pr8218934625190621173um_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10493 v ii) (ite (= i ii) e (ho_10493 u ii)))))))))) (let ((_let_2495 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_int tptp.set_Pr8218934625190621173um_num)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_int tptp.set_Pr8218934625190621173um_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10493 x z) (ho_10493 y z)))) (= x y))))) (let ((_let_2496 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.set_o Bool)|) (e |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13713 v ii) (ite (= i ii) e (ho_13713 u ii)))))))))) (let ((_let_2497 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13713 x z) (ho_13713 y z)))) (= x y))))) (let ((_let_2498 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13714 v ii) (ite (= i ii) e (ho_13714 u ii)))))))))) (let ((_let_2499 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13714 x z) (ho_13714 y z)))) (= x y))))) (let ((_let_2500 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13710 v ii) (ite (= i ii) e (ho_13710 u ii)))))))))) (let ((_let_2501 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13710 x z) (ho_13710 y z)))) (= x y))))) (let ((_let_2502 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7264 v ii) (ite (= i ii) e (ho_7264 u ii)))))))))) (let ((_let_2503 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7264 x z) (ho_7264 y z)))) (= x y))))) (let ((_let_2504 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13711 v ii) (ite (= i ii) e (ho_13711 u ii)))))))))) (let ((_let_2505 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13711 x z) (ho_13711 y z)))) (= x y))))) (let ((_let_2506 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_13703 v ii) (ite (= i ii) e (ho_13703 u ii)))))))))) (let ((_let_2507 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_13703 x z) (ho_13703 y z)))) (= x y))))) (let ((_let_2508 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|) (i |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13696 v ii) (ite (= i ii) e (ho_13696 u ii)))))))))) (let ((_let_2509 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13696 x z) (ho_13696 y z)))) (= x y))))) (let ((_let_2510 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (e |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_11150 v ii) (ite (= i ii) e (ho_11150 u ii)))))))))) (let ((_let_2511 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_11150 x z) (ho_11150 y z)))) (= x y))))) (let ((_let_2512 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|) (e |u_(-> tptp.rat tptp.rat Bool)|) (i |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13694 v ii) (ite (= i ii) e (ho_13694 u ii)))))))))) (let ((_let_2513 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ tptp.rat tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13694 x z) (ho_13694 y z)))) (= x y))))) (let ((_let_2514 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|) (e |u_(-> tptp.list_nat tptp.list_nat Bool)|) (i |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (= (ho_13690 v ii) (ite (= i ii) e (ho_13690 u ii)))))))))) (let ((_let_2515 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (= (ho_13690 x z) (ho_13690 y z)))) (= x y))))) (let ((_let_2516 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|) (e |u_(-> tptp.char tptp.char Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13686 v ii) (ite (= i ii) e (ho_13686 u ii)))))))))) (let ((_let_2517 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13686 x z) (ho_13686 y z)))) (= x y))))) (let ((_let_2518 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ Bool Bool Bool)|) (e |u_(-> Bool Bool Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_13681 v ii) (ite (= i ii) e (ho_13681 u ii)))))))))) (let ((_let_2519 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ Bool Bool Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_13681 x z) (ho_13681 y z)))) (= x y))))) (let ((_let_2520 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_li2168235667650531768at_nat Bool)|) (e |u_(-> tptp.set_li2168235667650531768at_nat Bool)|) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_li2168235667650531768at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_13678 v ii) (ite (= i ii) e (ho_13678 u ii)))))))))) (let ((_let_2521 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_li2168235667650531768at_nat Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_li2168235667650531768at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_13678 x z) (ho_13678 y z)))) (= x y))))) (let ((_let_2522 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_14411 v ii) (ite (= i ii) e (ho_14411 u ii)))))))))) (let ((_let_2523 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_14411 x z) (ho_14411 y z)))) (= x y))))) (let ((_let_2524 (forall ((u |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_li2168235667650531768at_nat)|) (e tptp.set_li2168235667650531768at_nat) (i |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_li2168235667650531768at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13676 v ii) (ite (= i ii) e (ho_13676 u ii)))))))))) (let ((_let_2525 (forall ((x |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_li2168235667650531768at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_li2168235667650531768at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13676 x z) (ho_13676 y z)))) (= x y))))) (let ((_let_2526 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|) (e |u_(-> tptp.list_nat tptp.nat)|) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_13674 v ii) (ite (= i ii) e (ho_13674 u ii)))))))))) (let ((_let_2527 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_13674 x z) (ho_13674 y z)))) (= x y))))) (let ((_let_2528 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (= (ho_13668 v ii) (ite (= i ii) e (ho_13668 u ii)))))))))) (let ((_let_2529 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (= (ho_13668 x z) (ho_13668 y z)))) (= x y))))) (let ((_let_2530 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13669 v ii) (ite (= i ii) e (ho_13669 u ii)))))))))) (let ((_let_2531 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13669 x z) (ho_13669 y z)))) (= x y))))) (let ((_let_2532 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10438 v ii) (ite (= i ii) e (ho_10438 u ii)))))))))) (let ((_let_2533 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_list_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10438 x z) (ho_10438 y z)))) (= x y))))) (let ((_let_2534 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.list_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_13670 v ii) (ite (= i ii) e (ho_13670 u ii)))))))))) (let ((_let_2535 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_13670 x z) (ho_13670 y z)))) (= x y))))) (let ((_let_2536 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat tptp.set_o)|) (e |u_(-> tptp.set_nat tptp.set_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_7251 v ii) (ite (= i ii) e (ho_7251 u ii)))))))))) (let ((_let_2537 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_7251 x z) (ho_7251 y z)))) (= x y))))) (let ((_let_2538 (forall ((u |u_(-> tptp.list_nat tptp.nat)|) (e tptp.nat) (i tptp.list_nat)) (not (forall ((v |u_(-> tptp.list_nat tptp.nat)|)) (not (forall ((ii tptp.list_nat)) (= (ho_13666 v ii) (ite (= i ii) e (ho_13666 u ii)))))))))) (let ((_let_2539 (forall ((x |u_(-> tptp.list_nat tptp.nat)|) (y |u_(-> tptp.list_nat tptp.nat)|)) (or (not (forall ((z tptp.list_nat)) (= (ho_13666 x z) (ho_13666 y z)))) (= x y))))) (let ((_let_2540 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_in6154042108061588260nt_int Bool)|) (e |u_(-> tptp.set_in6154042108061588260nt_int Bool)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_in6154042108061588260nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_13664 v ii) (ite (= i ii) e (ho_13664 u ii)))))))))) (let ((_let_2541 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_in6154042108061588260nt_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_in6154042108061588260nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_13664 x z) (ho_13664 y z)))) (= x y))))) (let ((_let_2542 (forall ((u |u_(-> tptp.set_in6154042108061588260nt_int Bool)|) (e Bool) (i tptp.set_in6154042108061588260nt_int)) (not (forall ((v |u_(-> tptp.set_in6154042108061588260nt_int Bool)|)) (not (forall ((ii tptp.set_in6154042108061588260nt_int)) (= (ho_13665 v ii) (ite (= i ii) e (ho_13665 u ii)))))))))) (let ((_let_2543 (forall ((x |u_(-> tptp.set_in6154042108061588260nt_int Bool)|) (y |u_(-> tptp.set_in6154042108061588260nt_int Bool)|)) (or (not (forall ((z tptp.set_in6154042108061588260nt_int)) (= (ho_13665 x z) (ho_13665 y z)))) (= x y))))) (let ((_let_2544 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ tptp.set_in6154042108061588260nt_int)|) (e tptp.set_in6154042108061588260nt_int) (i |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ tptp.set_in6154042108061588260nt_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (= (ho_13662 v ii) (ite (= i ii) e (ho_13662 u ii)))))))))) (let ((_let_2545 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ tptp.set_in6154042108061588260nt_int)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)_ tptp.set_in6154042108061588260nt_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (= (ho_13662 x z) (ho_13662 y z)))) (= x y))))) (let ((_let_2546 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13659 v ii) (ite (= i ii) e (ho_13659 u ii)))))))))) (let ((_let_2547 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13659 x z) (ho_13659 y z)))) (= x y))))) (let ((_let_2548 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_13660 v ii) (ite (= i ii) e (ho_13660 u ii)))))))))) (let ((_let_2549 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_13660 x z) (ho_13660 y z)))) (= x y))))) (let ((_let_2550 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_na7251125088705586816nt_int Bool)|) (e |u_(-> tptp.set_na7251125088705586816nt_int Bool)|) (i |u_(-> tptp.nat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_na7251125088705586816nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_13655 v ii) (ite (= i ii) e (ho_13655 u ii)))))))))) (let ((_let_2551 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_na7251125088705586816nt_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_na7251125088705586816nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_13655 x z) (ho_13655 y z)))) (= x y))))) (let ((_let_2552 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ tptp.set_na7251125088705586816nt_int)|) (e tptp.set_na7251125088705586816nt_int) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ tptp.set_na7251125088705586816nt_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (= (ho_13653 v ii) (ite (= i ii) e (ho_13653 u ii)))))))))) (let ((_let_2553 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ tptp.set_na7251125088705586816nt_int)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)_ tptp.set_na7251125088705586816nt_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (= (ho_13653 x z) (ho_13653 y z)))) (= x y))))) (let ((_let_2554 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_13651 v ii) (ite (= i ii) e (ho_13651 u ii)))))))))) (let ((_let_2555 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_13651 x z) (ho_13651 y z)))) (= x y))))) (let ((_let_2556 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_ra518564293221149304nt_int Bool)|) (e |u_(-> tptp.set_ra518564293221149304nt_int Bool)|) (i |u_(-> tptp.rat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_ra518564293221149304nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_13647 v ii) (ite (= i ii) e (ho_13647 u ii)))))))))) (let ((_let_2557 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_ra518564293221149304nt_int Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_ra518564293221149304nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_13647 x z) (ho_13647 y z)))) (= x y))))) (let ((_let_2558 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (i |u_(-> tptp.product_prod_o_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.nat)|)) (= (ho_14901 v ii) (ite (= i ii) e (ho_14901 u ii)))))))))) (let ((_let_2559 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.nat)|)) (= (ho_14901 x z) (ho_14901 y z)))) (= x y))))) (let ((_let_2560 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7389 v ii) (ite (= i ii) e (ho_7389 u ii)))))))))) (let ((_let_2561 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7389 x z) (ho_7389 y z)))) (= x y))))) (let ((_let_2562 (forall ((u |u_(-> tptp.set_ra518564293221149304nt_int Bool)|) (e Bool) (i tptp.set_ra518564293221149304nt_int)) (not (forall ((v |u_(-> tptp.set_ra518564293221149304nt_int Bool)|)) (not (forall ((ii tptp.set_ra518564293221149304nt_int)) (= (ho_13648 v ii) (ite (= i ii) e (ho_13648 u ii)))))))))) (let ((_let_2563 (forall ((x |u_(-> tptp.set_ra518564293221149304nt_int Bool)|) (y |u_(-> tptp.set_ra518564293221149304nt_int Bool)|)) (or (not (forall ((z tptp.set_ra518564293221149304nt_int)) (= (ho_13648 x z) (ho_13648 y z)))) (= x y))))) (let ((_let_2564 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ tptp.set_ra518564293221149304nt_int)|) (e tptp.set_ra518564293221149304nt_int) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ tptp.set_ra518564293221149304nt_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (= (ho_13645 v ii) (ite (= i ii) e (ho_13645 u ii)))))))))) (let ((_let_2565 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ tptp.set_ra518564293221149304nt_int)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)_ tptp.set_ra518564293221149304nt_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (= (ho_13645 x z) (ho_13645 y z)))) (= x y))))) (let ((_let_2566 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13642 v ii) (ite (= i ii) e (ho_13642 u ii)))))))))) (let ((_let_2567 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13642 x z) (ho_13642 y z)))) (= x y))))) (let ((_let_2568 (forall ((u |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> Bool tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat tptp.nat)|)) (= (ho_14158 v ii) (ite (= i ii) e (ho_14158 u ii)))))))))) (let ((_let_2569 (forall ((x |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat tptp.nat)|)) (= (ho_14158 x z) (ho_14158 y z)))) (= x y))))) (let ((_let_2570 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|) (e |u_(-> tptp.rat tptp.int)|) (i |u_(-> tptp.rat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_13643 v ii) (ite (= i ii) e (ho_13643 u ii)))))))))) (let ((_let_2571 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_13643 x z) (ho_13643 y z)))) (= x y))))) (let ((_let_2572 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_ch6383161263842509759nt_int Bool)|) (e |u_(-> tptp.set_ch6383161263842509759nt_int Bool)|) (i |u_(-> tptp.char tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_ch6383161263842509759nt_int Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_13639 v ii) (ite (= i ii) e (ho_13639 u ii)))))))))) (let ((_let_2573 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_ch6383161263842509759nt_int Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_ch6383161263842509759nt_int Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_13639 x z) (ho_13639 y z)))) (= x y))))) (let ((_let_2574 (forall ((u |u_(-> tptp.set_set_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_o)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_4704 v ii) (ite (= i ii) e (ho_4704 u ii)))))))))) (let ((_let_2575 (forall ((x |u_(-> tptp.set_set_nat tptp.set_o)|) (y |u_(-> tptp.set_set_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_4704 x z) (ho_4704 y z)))) (= x y))))) (let ((_let_2576 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ tptp.set_ch6383161263842509759nt_int)|) (e tptp.set_ch6383161263842509759nt_int) (i |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ tptp.set_ch6383161263842509759nt_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (= (ho_13637 v ii) (ite (= i ii) e (ho_13637 u ii)))))))))) (let ((_let_2577 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ tptp.set_ch6383161263842509759nt_int)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ tptp.set_ch6383161263842509759nt_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (= (ho_13637 x z) (ho_13637 y z)))) (= x y))))) (let ((_let_2578 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13634 v ii) (ite (= i ii) e (ho_13634 u ii)))))))))) (let ((_let_2579 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13634 x z) (ho_13634 y z)))) (= x y))))) (let ((_let_2580 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_in3169746454734514176um_num Bool)|) (e |u_(-> tptp.set_in3169746454734514176um_num Bool)|) (i |u_(-> tptp.int tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_in3169746454734514176um_num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_13631 v ii) (ite (= i ii) e (ho_13631 u ii)))))))))) (let ((_let_2581 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_in3169746454734514176um_num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.set_in3169746454734514176um_num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_13631 x z) (ho_13631 y z)))) (= x y))))) (let ((_let_2582 (forall ((u |u_(-> tptp.set_in3169746454734514176um_num Bool)|) (e Bool) (i tptp.set_in3169746454734514176um_num)) (not (forall ((v |u_(-> tptp.set_in3169746454734514176um_num Bool)|)) (not (forall ((ii tptp.set_in3169746454734514176um_num)) (= (ho_13632 v ii) (ite (= i ii) e (ho_13632 u ii)))))))))) (let ((_let_2583 (forall ((x |u_(-> tptp.set_in3169746454734514176um_num Bool)|) (y |u_(-> tptp.set_in3169746454734514176um_num Bool)|)) (or (not (forall ((z tptp.set_in3169746454734514176um_num)) (= (ho_13632 x z) (ho_13632 y z)))) (= x y))))) (let ((_let_2584 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7529 v ii) (ite (= i ii) e (ho_7529 u ii)))))))))) (let ((_let_2585 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7529 x z) (ho_7529 y z)))) (= x y))))) (let ((_let_2586 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ tptp.set_in3169746454734514176um_num)|) (e tptp.set_in3169746454734514176um_num) (i |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ tptp.set_in3169746454734514176um_num)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (= (ho_13629 v ii) (ite (= i ii) e (ho_13629 u ii)))))))))) (let ((_let_2587 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ tptp.set_in3169746454734514176um_num)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ tptp.set_in3169746454734514176um_num)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (= (ho_13629 x z) (ho_13629 y z)))) (= x y))))) (let ((_let_2588 (forall ((u |u_(-> tptp.set_num tptp.set_se4826145725398303499at_num)|) (e tptp.set_se4826145725398303499at_num) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.set_se4826145725398303499at_num)|)) (not (forall ((ii tptp.set_num)) (= (ho_6980 v ii) (ite (= i ii) e (ho_6980 u ii)))))))))) (let ((_let_2589 (forall ((x |u_(-> tptp.set_num tptp.set_se4826145725398303499at_num)|) (y |u_(-> tptp.set_num tptp.set_se4826145725398303499at_num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_6980 x z) (ho_6980 y z)))) (= x y))))) (let ((_let_2590 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_in7748886932685137004at_nat Bool)|) (e |u_(-> tptp.set_in7748886932685137004at_nat Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_in7748886932685137004at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_13620 v ii) (ite (= i ii) e (ho_13620 u ii)))))))))) (let ((_let_2591 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_in7748886932685137004at_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_in7748886932685137004at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_13620 x z) (ho_13620 y z)))) (= x y))))) (let ((_let_2592 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_o)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_4570 v ii) (ite (= i ii) e (ho_4570 u ii)))))))))) (let ((_let_2593 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_o)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_4570 x z) (ho_4570 y z)))) (= x y))))) (let ((_let_2594 (forall ((u |u_(-> tptp.set_in7748886932685137004at_nat Bool)|) (e Bool) (i tptp.set_in7748886932685137004at_nat)) (not (forall ((v |u_(-> tptp.set_in7748886932685137004at_nat Bool)|)) (not (forall ((ii tptp.set_in7748886932685137004at_nat)) (= (ho_13621 v ii) (ite (= i ii) e (ho_13621 u ii)))))))))) (let ((_let_2595 (forall ((x |u_(-> tptp.set_in7748886932685137004at_nat Bool)|) (y |u_(-> tptp.set_in7748886932685137004at_nat Bool)|)) (or (not (forall ((z tptp.set_in7748886932685137004at_nat)) (= (ho_13621 x z) (ho_13621 y z)))) (= x y))))) (let ((_let_2596 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_na8845969913329135560at_nat Bool)|) (e |u_(-> tptp.set_na8845969913329135560at_nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_na8845969913329135560at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_13612 v ii) (ite (= i ii) e (ho_13612 u ii)))))))))) (let ((_let_2597 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_na8845969913329135560at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_na8845969913329135560at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_13612 x z) (ho_13612 y z)))) (= x y))))) (let ((_let_2598 (forall ((u |u_(-> tptp.set_na8845969913329135560at_nat Bool)|) (e Bool) (i tptp.set_na8845969913329135560at_nat)) (not (forall ((v |u_(-> tptp.set_na8845969913329135560at_nat Bool)|)) (not (forall ((ii tptp.set_na8845969913329135560at_nat)) (= (ho_13613 v ii) (ite (= i ii) e (ho_13613 u ii)))))))))) (let ((_let_2599 (forall ((x |u_(-> tptp.set_na8845969913329135560at_nat Bool)|) (y |u_(-> tptp.set_na8845969913329135560at_nat Bool)|)) (or (not (forall ((z tptp.set_na8845969913329135560at_nat)) (= (ho_13613 x z) (ho_13613 y z)))) (= x y))))) (let ((_let_2600 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10487 v ii) (ite (= i ii) e (ho_10487 u ii)))))))))) (let ((_let_2601 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10487 x z) (ho_10487 y z)))) (= x y))))) (let ((_let_2602 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_na8845969913329135560at_nat)|) (e tptp.set_na8845969913329135560at_nat) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_na8845969913329135560at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13610 v ii) (ite (= i ii) e (ho_13610 u ii)))))))))) (let ((_let_2603 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_na8845969913329135560at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)_ tptp.set_na8845969913329135560at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13610 x z) (ho_13610 y z)))) (= x y))))) (let ((_let_2604 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13607 v ii) (ite (= i ii) e (ho_13607 u ii)))))))))) (let ((_let_2605 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13607 x z) (ho_13607 y z)))) (= x y))))) (let ((_let_2606 (forall ((u |u_(-> _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|) (e |u_(-> tptp.set_set_int tptp.set_nat)|) (i |u_(-> tptp.set_set_int tptp.set_set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_set_int tptp.set_set_nat)|)) (= (ho_15125 v ii) (ite (= i ii) e (ho_15125 u ii)))))))))) (let ((_let_2607 (forall ((x |u_(-> _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_set_int tptp.set_set_nat)_ tptp.set_set_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_set_int tptp.set_set_nat)|)) (= (ho_15125 x z) (ho_15125 y z)))) (= x y))))) (let ((_let_2608 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_13608 v ii) (ite (= i ii) e (ho_13608 u ii)))))))))) (let ((_let_2609 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_13608 x z) (ho_13608 y z)))) (= x y))))) (let ((_let_2610 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_ra2113409117844698048at_nat Bool)|) (e |u_(-> tptp.set_ra2113409117844698048at_nat Bool)|) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_ra2113409117844698048at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_13604 v ii) (ite (= i ii) e (ho_13604 u ii)))))))))) (let ((_let_2611 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_ra2113409117844698048at_nat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_ra2113409117844698048at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_13604 x z) (ho_13604 y z)))) (= x y))))) (let ((_let_2612 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13599 v ii) (ite (= i ii) e (ho_13599 u ii)))))))))) (let ((_let_2613 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13599 x z) (ho_13599 y z)))) (= x y))))) (let ((_let_2614 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_ch7978006088466058503at_nat Bool)|) (e |u_(-> tptp.set_ch7978006088466058503at_nat Bool)|) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_ch7978006088466058503at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_13596 v ii) (ite (= i ii) e (ho_13596 u ii)))))))))) (let ((_let_2615 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_ch7978006088466058503at_nat Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_ch7978006088466058503at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_13596 x z) (ho_13596 y z)))) (= x y))))) (let ((_let_2616 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13591 v ii) (ite (= i ii) e (ho_13591 u ii)))))))))) (let ((_let_2617 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13591 x z) (ho_13591 y z)))) (= x y))))) (let ((_let_2618 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10115 v ii) (ite (= i ii) e (ho_10115 u ii)))))))))) (let ((_let_2619 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10115 x z) (ho_10115 y z)))) (= x y))))) (let ((_let_2620 (forall ((u |u_(-> tptp.set_nat tptp.set_set_rat)|) (e tptp.set_set_rat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15032 v ii) (ite (= i ii) e (ho_15032 u ii)))))))))) (let ((_let_2621 (forall ((x |u_(-> tptp.set_nat tptp.set_set_rat)|) (y |u_(-> tptp.set_nat tptp.set_set_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15032 x z) (ho_15032 y z)))) (= x y))))) (let ((_let_2622 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_13592 v ii) (ite (= i ii) e (ho_13592 u ii)))))))))) (let ((_let_2623 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_13592 x z) (ho_13592 y z)))) (= x y))))) (let ((_let_2624 (forall ((u |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_13580 v ii) (ite (= i ii) e (ho_13580 u ii)))))))))) (let ((_let_2625 (forall ((x |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_13580 x z) (ho_13580 y z)))) (= x y))))) (let ((_let_2626 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|) (e |u_(-> tptp.char tptp.char)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13578 v ii) (ite (= i ii) e (ho_13578 u ii)))))))))) (let ((_let_2627 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13578 x z) (ho_13578 y z)))) (= x y))))) (let ((_let_2628 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|) (e |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_13574 v ii) (ite (= i ii) e (ho_13574 u ii)))))))))) (let ((_let_2629 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_13574 x z) (ho_13574 y z)))) (= x y))))) (let ((_let_2630 (forall ((u |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (e |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (i |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (= (ho_12051 v ii) (ite (= i ii) e (ho_12051 u ii)))))))))) (let ((_let_2631 (forall ((x |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (= (ho_12051 x z) (ho_12051 y z)))) (= x y))))) (let ((_let_2632 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|) (e |u_(-> tptp.char tptp.int)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13575 v ii) (ite (= i ii) e (ho_13575 u ii)))))))))) (let ((_let_2633 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13575 x z) (ho_13575 y z)))) (= x y))))) (let ((_let_2634 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int Bool)|) (e |u_(-> tptp.produc4196048018000912732at_int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12187 v ii) (ite (= i ii) e (ho_12187 u ii)))))))))) (let ((_let_2635 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12187 x z) (ho_12187 y z)))) (= x y))))) (let ((_let_2636 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_13571 v ii) (ite (= i ii) e (ho_13571 u ii)))))))))) (let ((_let_2637 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_13571 x z) (ho_13571 y z)))) (= x y))))) (let ((_let_2638 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13510 v ii) (ite (= i ii) e (ho_13510 u ii)))))))))) (let ((_let_2639 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13510 x z) (ho_13510 y z)))) (= x y))))) (let ((_let_2640 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|) (e |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_13568 v ii) (ite (= i ii) e (ho_13568 u ii)))))))))) (let ((_let_2641 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_13568 x z) (ho_13568 y z)))) (= x y))))) (let ((_let_2642 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|) (e |u_(-> tptp.char tptp.rat)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13569 v ii) (ite (= i ii) e (ho_13569 u ii)))))))))) (let ((_let_2643 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13569 x z) (ho_13569 y z)))) (= x y))))) (let ((_let_2644 (forall ((u |u_(-> tptp.nat tptp.num tptp.set_o)|) (e |u_(-> tptp.num tptp.set_o)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.set_o)|)) (not (forall ((ii tptp.nat)) (= (ho_12132 v ii) (ite (= i ii) e (ho_12132 u ii)))))))))) (let ((_let_2645 (forall ((x |u_(-> tptp.nat tptp.num tptp.set_o)|) (y |u_(-> tptp.nat tptp.num tptp.set_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_12132 x z) (ho_12132 y z)))) (= x y))))) (let ((_let_2646 (forall ((u |u_(-> _u_(-> tptp.rat tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|) (e |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|) (i |u_(-> tptp.rat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|)) (not (forall ((ii |u_(-> tptp.rat tptp.char)|)) (= (ho_13565 v ii) (ite (= i ii) e (ho_13565 u ii)))))))))) (let ((_let_2647 (forall ((x |u_(-> _u_(-> tptp.rat tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|) (y |u_(-> _u_(-> tptp.rat tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.char)|)) (= (ho_13565 x z) (ho_13565 y z)))) (= x y))))) (let ((_let_2648 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6877 v ii) (ite (= i ii) e (ho_6877 u ii)))))))))) (let ((_let_2649 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6877 x z) (ho_6877 y z)))) (= x y))))) (let ((_let_2650 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|) (e |u_(-> tptp.char tptp.char)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13566 v ii) (ite (= i ii) e (ho_13566 u ii)))))))))) (let ((_let_2651 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.char tptp.char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13566 x z) (ho_13566 y z)))) (= x y))))) (let ((_let_2652 (forall ((u |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4523 v ii) (ite (= i ii) e (ho_4523 u ii)))))))))) (let ((_let_2653 (forall ((x |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4523 x z) (ho_4523 y z)))) (= x y))))) (let ((_let_2654 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13562 v ii) (ite (= i ii) e (ho_13562 u ii)))))))))) (let ((_let_2655 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13562 x z) (ho_13562 y z)))) (= x y))))) (let ((_let_2656 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13559 v ii) (ite (= i ii) e (ho_13559 u ii)))))))))) (let ((_let_2657 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13559 x z) (ho_13559 y z)))) (= x y))))) (let ((_let_2658 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13560 v ii) (ite (= i ii) e (ho_13560 u ii)))))))))) (let ((_let_2659 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13560 x z) (ho_13560 y z)))) (= x y))))) (let ((_let_2660 (forall ((u |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|) (e |u_(-> tptp.int tptp.product_prod_int_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_10304 v ii) (ite (= i ii) e (ho_10304 u ii)))))))))) (let ((_let_2661 (forall ((x |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|) (y |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10304 x z) (ho_10304 y z)))) (= x y))))) (let ((_let_2662 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|) (e |u_(-> tptp.char tptp.rat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13557 v ii) (ite (= i ii) e (ho_13557 u ii)))))))))) (let ((_let_2663 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13557 x z) (ho_13557 y z)))) (= x y))))) (let ((_let_2664 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13553 v ii) (ite (= i ii) e (ho_13553 u ii)))))))))) (let ((_let_2665 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13553 x z) (ho_13553 y z)))) (= x y))))) (let ((_let_2666 (forall ((u |u_(-> tptp.set_Code_integer Bool)|) (e Bool) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer Bool)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_13551 v ii) (ite (= i ii) e (ho_13551 u ii)))))))))) (let ((_let_2667 (forall ((x |u_(-> tptp.set_Code_integer Bool)|) (y |u_(-> tptp.set_Code_integer Bool)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_13551 x z) (ho_13551 y z)))) (= x y))))) (let ((_let_2668 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger Bool)|) (e |u_(-> tptp.set_Co726186806682698383nteger Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_13548 v ii) (ite (= i ii) e (ho_13548 u ii)))))))))) (let ((_let_2669 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_13548 x z) (ho_13548 y z)))) (= x y))))) (let ((_let_2670 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.a)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12001 v ii) (ite (= i ii) e (ho_12001 u ii)))))))))) (let ((_let_2671 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.a)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12001 x z) (ho_12001 y z)))) (= x y))))) (let ((_let_2672 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13536 v ii) (ite (= i ii) e (ho_13536 u ii)))))))))) (let ((_let_2673 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13536 x z) (ho_13536 y z)))) (= x y))))) (let ((_let_2674 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13527 v ii) (ite (= i ii) e (ho_13527 u ii)))))))))) (let ((_let_2675 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13527 x z) (ho_13527 y z)))) (= x y))))) (let ((_let_2676 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (i |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13528 v ii) (ite (= i ii) e (ho_13528 u ii)))))))))) (let ((_let_2677 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13528 x z) (ho_13528 y z)))) (= x y))))) (let ((_let_2678 (forall ((u |u_(-> tptp.set_set_nat tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.int Bool)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_9226 v ii) (ite (= i ii) e (ho_9226 u ii)))))))))) (let ((_let_2679 (forall ((x |u_(-> tptp.set_set_nat tptp.int Bool)|) (y |u_(-> tptp.set_set_nat tptp.int Bool)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_9226 x z) (ho_9226 y z)))) (= x y))))) (let ((_let_2680 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13530 v ii) (ite (= i ii) e (ho_13530 u ii)))))))))) (let ((_let_2681 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13530 x z) (ho_13530 y z)))) (= x y))))) (let ((_let_2682 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13522 v ii) (ite (= i ii) e (ho_13522 u ii)))))))))) (let ((_let_2683 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13522 x z) (ho_13522 y z)))) (= x y))))) (let ((_let_2684 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_o Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_o Bool Bool)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_o Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_8520 v ii) (ite (= i ii) e (ho_8520 u ii)))))))))) (let ((_let_2685 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_o Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_o Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_8520 x z) (ho_8520 y z)))) (= x y))))) (let ((_let_2686 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13523 v ii) (ite (= i ii) e (ho_13523 u ii)))))))))) (let ((_let_2687 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13523 x z) (ho_13523 y z)))) (= x y))))) (let ((_let_2688 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ Bool)|) (e Bool) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_13525 v ii) (ite (= i ii) e (ho_13525 u ii)))))))))) (let ((_let_2689 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_13525 x z) (ho_13525 y z)))) (= x y))))) (let ((_let_2690 (forall ((u |u_(-> tptp.set_int_int Bool)|) (e Bool) (i tptp.set_int_int)) (not (forall ((v |u_(-> tptp.set_int_int Bool)|)) (not (forall ((ii tptp.set_int_int)) (= (ho_15346 v ii) (ite (= i ii) e (ho_15346 u ii)))))))))) (let ((_let_2691 (forall ((x |u_(-> tptp.set_int_int Bool)|) (y |u_(-> tptp.set_int_int Bool)|)) (or (not (forall ((z tptp.set_int_int)) (= (ho_15346 x z) (ho_15346 y z)))) (= x y))))) (let ((_let_2692 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_13824 v ii) (ite (= i ii) e (ho_13824 u ii)))))))))) (let ((_let_2693 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_13824 x z) (ho_13824 y z)))) (= x y))))) (let ((_let_2694 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7116 v ii) (ite (= i ii) e (ho_7116 u ii)))))))))) (let ((_let_2695 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7116 x z) (ho_7116 y z)))) (= x y))))) (let ((_let_2696 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13517 v ii) (ite (= i ii) e (ho_13517 u ii)))))))))) (let ((_let_2697 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13517 x z) (ho_13517 y z)))) (= x y))))) (let ((_let_2698 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_14819 v ii) (ite (= i ii) e (ho_14819 u ii)))))))))) (let ((_let_2699 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_14819 x z) (ho_14819 y z)))) (= x y))))) (let ((_let_2700 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13518 v ii) (ite (= i ii) e (ho_13518 u ii)))))))))) (let ((_let_2701 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13518 x z) (ho_13518 y z)))) (= x y))))) (let ((_let_2702 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (= (ho_14820 v ii) (ite (= i ii) e (ho_14820 u ii)))))))))) (let ((_let_2703 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (= (ho_14820 x z) (ho_14820 y z)))) (= x y))))) (let ((_let_2704 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ Bool)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_13519 v ii) (ite (= i ii) e (ho_13519 u ii)))))))))) (let ((_let_2705 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_13519 x z) (ho_13519 y z)))) (= x y))))) (let ((_let_2706 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (i |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13512 v ii) (ite (= i ii) e (ho_13512 u ii)))))))))) (let ((_let_2707 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat Bool)|)) (= (ho_13512 x z) (ho_13512 y z)))) (= x y))))) (let ((_let_2708 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Code_integer Bool)|) (e |u_(-> tptp.set_Code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15320 v ii) (ite (= i ii) e (ho_15320 u ii)))))))))) (let ((_let_2709 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15320 x z) (ho_15320 y z)))) (= x y))))) (let ((_let_2710 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_13513 v ii) (ite (= i ii) e (ho_13513 u ii)))))))))) (let ((_let_2711 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_13513 x z) (ho_13513 y z)))) (= x y))))) (let ((_let_2712 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|) (e |u_(-> tptp.set_Code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_15235 v ii) (ite (= i ii) e (ho_15235 u ii)))))))))) (let ((_let_2713 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_15235 x z) (ho_15235 y z)))) (= x y))))) (let ((_let_2714 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.rat Bool)_ Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_13514 v ii) (ite (= i ii) e (ho_13514 u ii)))))))))) (let ((_let_2715 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.rat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_13514 x z) (ho_13514 y z)))) (= x y))))) (let ((_let_2716 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (i |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_14347 v ii) (ite (= i ii) e (ho_14347 u ii)))))))))) (let ((_let_2717 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_14347 x z) (ho_14347 y z)))) (= x y))))) (let ((_let_2718 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_15262 v ii) (ite (= i ii) e (ho_15262 u ii)))))))))) (let ((_let_2719 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_15262 x z) (ho_15262 y z)))) (= x y))))) (let ((_let_2720 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13509 v ii) (ite (= i ii) e (ho_13509 u ii)))))))))) (let ((_let_2721 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13509 x z) (ho_13509 y z)))) (= x y))))) (let ((_let_2722 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|) (e |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_13759 v ii) (ite (= i ii) e (ho_13759 u ii)))))))))) (let ((_let_2723 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_13759 x z) (ho_13759 y z)))) (= x y))))) (let ((_let_2724 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13504 v ii) (ite (= i ii) e (ho_13504 u ii)))))))))) (let ((_let_2725 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13504 x z) (ho_13504 y z)))) (= x y))))) (let ((_let_2726 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_9291 v ii) (ite (= i ii) e (ho_9291 u ii)))))))))) (let ((_let_2727 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_9291 x z) (ho_9291 y z)))) (= x y))))) (let ((_let_2728 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13500 v ii) (ite (= i ii) e (ho_13500 u ii)))))))))) (let ((_let_2729 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13500 x z) (ho_13500 y z)))) (= x y))))) (let ((_let_2730 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15115 v ii) (ite (= i ii) e (ho_15115 u ii)))))))))) (let ((_let_2731 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15115 x z) (ho_15115 y z)))) (= x y))))) (let ((_let_2732 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7866 v ii) (ite (= i ii) e (ho_7866 u ii)))))))))) (let ((_let_2733 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7866 x z) (ho_7866 y z)))) (= x y))))) (let ((_let_2734 (forall ((u |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> Bool tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int Bool)|)) (= (ho_13484 v ii) (ite (= i ii) e (ho_13484 u ii)))))))))) (let ((_let_2735 (forall ((x |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int Bool)|)) (= (ho_13484 x z) (ho_13484 y z)))) (= x y))))) (let ((_let_2736 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13478 v ii) (ite (= i ii) e (ho_13478 u ii)))))))))) (let ((_let_2737 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13478 x z) (ho_13478 y z)))) (= x y))))) (let ((_let_2738 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14055 v ii) (ite (= i ii) e (ho_14055 u ii)))))))))) (let ((_let_2739 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14055 x z) (ho_14055 y z)))) (= x y))))) (let ((_let_2740 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11495 v ii) (ite (= i ii) e (ho_11495 u ii)))))))))) (let ((_let_2741 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11495 x z) (ho_11495 y z)))) (= x y))))) (let ((_let_2742 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6342 v ii) (ite (= i ii) e (ho_6342 u ii)))))))))) (let ((_let_2743 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6342 x z) (ho_6342 y z)))) (= x y))))) (let ((_let_2744 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5930 v ii) (ite (= i ii) e (ho_5930 u ii)))))))))) (let ((_let_2745 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5930 x z) (ho_5930 y z)))) (= x y))))) (let ((_let_2746 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7809 v ii) (ite (= i ii) e (ho_7809 u ii)))))))))) (let ((_let_2747 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7809 x z) (ho_7809 y z)))) (= x y))))) (let ((_let_2748 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13473 v ii) (ite (= i ii) e (ho_13473 u ii)))))))))) (let ((_let_2749 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13473 x z) (ho_13473 y z)))) (= x y))))) (let ((_let_2750 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_13471 v ii) (ite (= i ii) e (ho_13471 u ii)))))))))) (let ((_let_2751 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_13471 x z) (ho_13471 y z)))) (= x y))))) (let ((_let_2752 (forall ((u |u_(-> tptp.set_nat tptp.set_set_char)|) (e tptp.set_set_char) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_char)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15021 v ii) (ite (= i ii) e (ho_15021 u ii)))))))))) (let ((_let_2753 (forall ((x |u_(-> tptp.set_nat tptp.set_set_char)|) (y |u_(-> tptp.set_nat tptp.set_set_char)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15021 x z) (ho_15021 y z)))) (= x y))))) (let ((_let_2754 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_13466 v ii) (ite (= i ii) e (ho_13466 u ii)))))))))) (let ((_let_2755 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_13466 x z) (ho_13466 y z)))) (= x y))))) (let ((_let_2756 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_13467 v ii) (ite (= i ii) e (ho_13467 u ii)))))))))) (let ((_let_2757 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_13467 x z) (ho_13467 y z)))) (= x y))))) (let ((_let_2758 (forall ((u |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (= (ho_14088 v ii) (ite (= i ii) e (ho_14088 u ii)))))))))) (let ((_let_2759 (forall ((x |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (= (ho_14088 x z) (ho_14088 y z)))) (= x y))))) (let ((_let_2760 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_10147 v ii) (ite (= i ii) e (ho_10147 u ii)))))))))) (let ((_let_2761 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_10147 x z) (ho_10147 y z)))) (= x y))))) (let ((_let_2762 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_13463 v ii) (ite (= i ii) e (ho_13463 u ii)))))))))) (let ((_let_2763 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_13463 x z) (ho_13463 y z)))) (= x y))))) (let ((_let_2764 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_14017 v ii) (ite (= i ii) e (ho_14017 u ii)))))))))) (let ((_let_2765 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_14017 x z) (ho_14017 y z)))) (= x y))))) (let ((_let_2766 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7648 v ii) (ite (= i ii) e (ho_7648 u ii)))))))))) (let ((_let_2767 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7648 x z) (ho_7648 y z)))) (= x y))))) (let ((_let_2768 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool)|) (e |u_(-> tptp.set_se5479201105039950375at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_13460 v ii) (ite (= i ii) e (ho_13460 u ii)))))))))) (let ((_let_2769 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_13460 x z) (ho_13460 y z)))) (= x y))))) (let ((_let_2770 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat Bool)|) (e Bool) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat Bool)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_13461 v ii) (ite (= i ii) e (ho_13461 u ii)))))))))) (let ((_let_2771 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat Bool)|) (y |u_(-> tptp.set_se5479201105039950375at_nat Bool)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_13461 x z) (ho_13461 y z)))) (= x y))))) (let ((_let_2772 (forall ((u |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|) (e |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|) (i |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (= (ho_13457 v ii) (ite (= i ii) e (ho_13457 u ii)))))))))) (let ((_let_2773 (forall ((x |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (= (ho_13457 x z) (ho_13457 y z)))) (= x y))))) (let ((_let_2774 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_6659 v ii) (ite (= i ii) e (ho_6659 u ii)))))))))) (let ((_let_2775 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_6659 x z) (ho_6659 y z)))) (= x y))))) (let ((_let_2776 (forall ((u |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (e tptp.produc414006230660905482ar_rat) (i tptp.produc3922234789054302210ar_nat)) (not (forall ((v |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii tptp.produc3922234789054302210ar_nat)) (= (ho_16126 v ii) (ite (= i ii) e (ho_16126 u ii)))))))))) (let ((_let_2777 (forall ((x |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (y |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z tptp.produc3922234789054302210ar_nat)) (= (ho_16126 x z) (ho_16126 y z)))) (= x y))))) (let ((_let_2778 (forall ((u |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|) (e |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|) (i |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (= (ho_13451 v ii) (ite (= i ii) e (ho_13451 u ii)))))))))) (let ((_let_2779 (forall ((x |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> _u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)_ tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (= (ho_13451 x z) (ho_13451 y z)))) (= x y))))) (let ((_let_2780 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_7042 v ii) (ite (= i ii) e (ho_7042 u ii)))))))))) (let ((_let_2781 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_7042 x z) (ho_7042 y z)))) (= x y))))) (let ((_let_2782 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13448 v ii) (ite (= i ii) e (ho_13448 u ii)))))))))) (let ((_let_2783 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13448 x z) (ho_13448 y z)))) (= x y))))) (let ((_let_2784 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num Bool)_ tptp.num tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13716 v ii) (ite (= i ii) e (ho_13716 u ii)))))))))) (let ((_let_2785 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13716 x z) (ho_13716 y z)))) (= x y))))) (let ((_let_2786 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (e |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_13449 v ii) (ite (= i ii) e (ho_13449 u ii)))))))))) (let ((_let_2787 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_13449 x z) (ho_13449 y z)))) (= x y))))) (let ((_let_2788 (forall ((u |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger)|) (e tptp.produc8923325533196201883nteger) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5396 v ii) (ite (= i ii) e (ho_5396 u ii)))))))))) (let ((_let_2789 (forall ((x |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5396 x z) (ho_5396 y z)))) (= x y))))) (let ((_let_2790 (forall ((u |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|) (e |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|) (i |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|)) (not (forall ((ii |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (= (ho_13445 v ii) (ite (= i ii) e (ho_13445 u ii)))))))))) (let ((_let_2791 (forall ((x |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|) (y |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|)) (or (not (forall ((z |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (= (ho_13445 x z) (ho_13445 y z)))) (= x y))))) (let ((_let_2792 (forall ((u |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|) (e |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|) (i |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|)) (not (forall ((ii |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (= (ho_13439 v ii) (ite (= i ii) e (ho_13439 u ii)))))))))) (let ((_let_2793 (forall ((x |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|) (y |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|)) (or (not (forall ((z |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (= (ho_13439 x z) (ho_13439 y z)))) (= x y))))) (let ((_let_2794 (forall ((u |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (e tptp.produc3922234789054302210ar_nat) (i tptp.produc414006230660905482ar_rat)) (not (forall ((v |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (not (forall ((ii tptp.produc414006230660905482ar_rat)) (= (ho_16125 v ii) (ite (= i ii) e (ho_16125 u ii)))))))))) (let ((_let_2795 (forall ((x |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (y |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (or (not (forall ((z tptp.produc414006230660905482ar_rat)) (= (ho_16125 x z) (ho_16125 y z)))) (= x y))))) (let ((_let_2796 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (e |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13430 v ii) (ite (= i ii) e (ho_13430 u ii)))))))))) (let ((_let_2797 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13430 x z) (ho_13430 y z)))) (= x y))))) (let ((_let_2798 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_14307 v ii) (ite (= i ii) e (ho_14307 u ii)))))))))) (let ((_let_2799 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_14307 x z) (ho_14307 y z)))) (= x y))))) (let ((_let_2800 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (e |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_13431 v ii) (ite (= i ii) e (ho_13431 u ii)))))))))) (let ((_let_2801 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_13431 x z) (ho_13431 y z)))) (= x y))))) (let ((_let_2802 (forall ((u |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|) (e tptp.set_Pr4256460214963601898ar_rat) (i tptp.set_Pr4256460214963601898ar_rat)) (not (forall ((v |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13434 v ii) (ite (= i ii) e (ho_13434 u ii)))))))))) (let ((_let_2803 (forall ((x |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13434 x z) (ho_13434 y z)))) (= x y))))) (let ((_let_2804 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|) (e tptp.set_Pr4334478416066269672t_unit) (i |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_14905 v ii) (ite (= i ii) e (ho_14905 u ii)))))))))) (let ((_let_2805 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_14905 x z) (ho_14905 y z)))) (= x y))))) (let ((_let_2806 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (e |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13424 v ii) (ite (= i ii) e (ho_13424 u ii)))))))))) (let ((_let_2807 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13424 x z) (ho_13424 y z)))) (= x y))))) (let ((_let_2808 (forall ((u |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (e tptp.produc143505574896075907r_char) (i tptp.produc414006230660905482ar_rat)) (not (forall ((v |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (not (forall ((ii tptp.produc414006230660905482ar_rat)) (= (ho_16124 v ii) (ite (= i ii) e (ho_16124 u ii)))))))))) (let ((_let_2809 (forall ((x |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (y |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (or (not (forall ((z tptp.produc414006230660905482ar_rat)) (= (ho_16124 x z) (ho_16124 y z)))) (= x y))))) (let ((_let_2810 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|) (e |u_(-> _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|)) (not (forall ((ii tptp.set_char)) (= (ho_13421 v ii) (ite (= i ii) e (ho_13421 u ii)))))))))) (let ((_let_2811 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|) (y |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13421 x z) (ho_13421 y z)))) (= x y))))) (let ((_let_2812 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|) (e tptp.set_Pr8146363407509552702ar_int) (i |u_(-> tptp.char tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_int)|)) (= (ho_13422 v ii) (ite (= i ii) e (ho_13422 u ii)))))))))) (let ((_let_2813 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|) (y |u_(-> _u_(-> tptp.char tptp.set_int)_ tptp.set_Pr8146363407509552702ar_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_int)|)) (= (ho_13422 x z) (ho_13422 y z)))) (= x y))))) (let ((_let_2814 (forall ((u |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|) (e |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|) (i |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|)) (not (forall ((ii |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (= (ho_13418 v ii) (ite (= i ii) e (ho_13418 u ii)))))))))) (let ((_let_2815 (forall ((x |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|) (y |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|)) (or (not (forall ((z |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (= (ho_13418 x z) (ho_13418 y z)))) (= x y))))) (let ((_let_2816 (forall ((u |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr4334478416066269672t_unit)) (not (forall ((v |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr4334478416066269672t_unit)) (= (ho_14910 v ii) (ite (= i ii) e (ho_14910 u ii)))))))))) (let ((_let_2817 (forall ((x |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr4334478416066269672t_unit)) (= (ho_14910 x z) (ho_14910 y z)))) (= x y))))) (let ((_let_2818 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13415 v ii) (ite (= i ii) e (ho_13415 u ii)))))))))) (let ((_let_2819 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13415 x z) (ho_13415 y z)))) (= x y))))) (let ((_let_2820 (forall ((u |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (e tptp.produc8967755806399881310ar_int) (i tptp.produc143505574896075907r_char)) (not (forall ((v |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (not (forall ((ii tptp.produc143505574896075907r_char)) (= (ho_16123 v ii) (ite (= i ii) e (ho_16123 u ii)))))))))) (let ((_let_2821 (forall ((x |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (y |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (or (not (forall ((z tptp.produc143505574896075907r_char)) (= (ho_16123 x z) (ho_16123 y z)))) (= x y))))) (let ((_let_2822 (forall ((u |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i tptp.set_Co726186806682698383nteger)) (not (forall ((v |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii tptp.set_Co726186806682698383nteger)) (= (ho_13583 v ii) (ite (= i ii) e (ho_13583 u ii)))))))))) (let ((_let_2823 (forall ((x |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z tptp.set_Co726186806682698383nteger)) (= (ho_13583 x z) (ho_13583 y z)))) (= x y))))) (let ((_let_2824 (forall ((u |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|) (e tptp.set_Pr8146363407509552702ar_int) (i tptp.set_Pr3309569728657787619r_char)) (not (forall ((v |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|)) (not (forall ((ii tptp.set_Pr3309569728657787619r_char)) (= (ho_13419 v ii) (ite (= i ii) e (ho_13419 u ii)))))))))) (let ((_let_2825 (forall ((x |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|) (y |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr8146363407509552702ar_int)|)) (or (not (forall ((z tptp.set_Pr3309569728657787619r_char)) (= (ho_13419 x z) (ho_13419 y z)))) (= x y))))) (let ((_let_2826 (forall ((u |u_(-> tptp.num tptp.char)|) (e tptp.char) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.char)|)) (not (forall ((ii tptp.num)) (= (ho_13748 v ii) (ite (= i ii) e (ho_13748 u ii)))))))))) (let ((_let_2827 (forall ((x |u_(-> tptp.num tptp.char)|) (y |u_(-> tptp.num tptp.char)|)) (or (not (forall ((z tptp.num)) (= (ho_13748 x z) (ho_13748 y z)))) (= x y))))) (let ((_let_2828 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_4659 v ii) (ite (= i ii) e (ho_4659 u ii)))))))))) (let ((_let_2829 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_4659 x z) (ho_4659 y z)))) (= x y))))) (let ((_let_2830 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|) (e tptp.set_Pr1413074515586503650ar_nat) (i |u_(-> tptp.char tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_nat)|)) (= (ho_13413 v ii) (ite (= i ii) e (ho_13413 u ii)))))))))) (let ((_let_2831 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|) (y |u_(-> _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_nat)|)) (= (ho_13413 x z) (ho_13413 y z)))) (= x y))))) (let ((_let_2832 (forall ((u |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|) (e |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|) (i |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|)) (not (forall ((ii |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (= (ho_13409 v ii) (ite (= i ii) e (ho_13409 u ii)))))))))) (let ((_let_2833 (forall ((x |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|) (y |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|)) (or (not (forall ((z |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (= (ho_13409 x z) (ho_13409 y z)))) (= x y))))) (let ((_let_2834 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13406 v ii) (ite (= i ii) e (ho_13406 u ii)))))))))) (let ((_let_2835 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13406 x z) (ho_13406 y z)))) (= x y))))) (let ((_let_2836 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_6538 v ii) (ite (= i ii) e (ho_6538 u ii)))))))))) (let ((_let_2837 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_6538 x z) (ho_6538 y z)))) (= x y))))) (let ((_let_2838 (forall ((u |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|) (e tptp.set_Pr1413074515586503650ar_nat) (i tptp.set_Pr3309569728657787619r_char)) (not (forall ((v |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|)) (not (forall ((ii tptp.set_Pr3309569728657787619r_char)) (= (ho_13410 v ii) (ite (= i ii) e (ho_13410 u ii)))))))))) (let ((_let_2839 (forall ((x |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|) (y |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr1413074515586503650ar_nat)|)) (or (not (forall ((z tptp.set_Pr3309569728657787619r_char)) (= (ho_13410 x z) (ho_13410 y z)))) (= x y))))) (let ((_let_2840 (forall ((u |u_(-> tptp.set_o tptp.set_Product_unit tptp.set_o_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_o_Product_unit)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Product_unit tptp.set_o_Product_unit)|)) (not (forall ((ii tptp.set_o)) (= (ho_15457 v ii) (ite (= i ii) e (ho_15457 u ii)))))))))) (let ((_let_2841 (forall ((x |u_(-> tptp.set_o tptp.set_Product_unit tptp.set_o_Product_unit)|) (y |u_(-> tptp.set_o tptp.set_Product_unit tptp.set_o_Product_unit)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15457 x z) (ho_15457 y z)))) (= x y))))) (let ((_let_2842 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|) (e |u_(-> _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii tptp.set_char)) (= (ho_13403 v ii) (ite (= i ii) e (ho_13403 u ii)))))))))) (let ((_let_2843 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13403 x z) (ho_13403 y z)))) (= x y))))) (let ((_let_2844 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|) (e tptp.set_Pr4256460214963601898ar_rat) (i |u_(-> tptp.char tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_rat)|)) (= (ho_13404 v ii) (ite (= i ii) e (ho_13404 u ii)))))))))) (let ((_let_2845 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> _u_(-> tptp.char tptp.set_rat)_ tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_rat)|)) (= (ho_13404 x z) (ho_13404 y z)))) (= x y))))) (let ((_let_2846 (forall ((u |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|) (e |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|) (i |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (= (ho_13400 v ii) (ite (= i ii) e (ho_13400 u ii)))))))))) (let ((_let_2847 (forall ((x |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (= (ho_13400 x z) (ho_13400 y z)))) (= x y))))) (let ((_let_2848 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (e |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13397 v ii) (ite (= i ii) e (ho_13397 u ii)))))))))) (let ((_let_2849 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13397 x z) (ho_13397 y z)))) (= x y))))) (let ((_let_2850 (forall ((u |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|) (e tptp.set_Pr4256460214963601898ar_rat) (i tptp.set_Pr3309569728657787619r_char)) (not (forall ((v |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii tptp.set_Pr3309569728657787619r_char)) (= (ho_13401 v ii) (ite (= i ii) e (ho_13401 u ii)))))))))) (let ((_let_2851 (forall ((x |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z tptp.set_Pr3309569728657787619r_char)) (= (ho_13401 x z) (ho_13401 y z)))) (= x y))))) (let ((_let_2852 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7859 v ii) (ite (= i ii) e (ho_7859 u ii)))))))))) (let ((_let_2853 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7859 x z) (ho_7859 y z)))) (= x y))))) (let ((_let_2854 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13391 v ii) (ite (= i ii) e (ho_13391 u ii)))))))))) (let ((_let_2855 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13391 x z) (ho_13391 y z)))) (= x y))))) (let ((_let_2856 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_14310 v ii) (ite (= i ii) e (ho_14310 u ii)))))))))) (let ((_let_2857 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_14310 x z) (ho_14310 y z)))) (= x y))))) (let ((_let_2858 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (e |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13392 v ii) (ite (= i ii) e (ho_13392 u ii)))))))))) (let ((_let_2859 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13392 x z) (ho_13392 y z)))) (= x y))))) (let ((_let_2860 (forall ((u |u_(-> tptp.set_se4612898379794543757t_unit tptp.set_he8644174446132254637t_unit)|) (e tptp.set_he8644174446132254637t_unit) (i tptp.set_se4612898379794543757t_unit)) (not (forall ((v |u_(-> tptp.set_se4612898379794543757t_unit tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.set_se4612898379794543757t_unit)) (= (ho_15004 v ii) (ite (= i ii) e (ho_15004 u ii)))))))))) (let ((_let_2861 (forall ((x |u_(-> tptp.set_se4612898379794543757t_unit tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.set_se4612898379794543757t_unit tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.set_se4612898379794543757t_unit)) (= (ho_15004 x z) (ho_15004 y z)))) (= x y))))) (let ((_let_2862 (forall ((u |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|) (e tptp.set_Pr3309569728657787619r_char) (i tptp.set_Pr3309569728657787619r_char)) (not (forall ((v |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii tptp.set_Pr3309569728657787619r_char)) (= (ho_13395 v ii) (ite (= i ii) e (ho_13395 u ii)))))))))) (let ((_let_2863 (forall ((x |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z tptp.set_Pr3309569728657787619r_char)) (= (ho_13395 x z) (ho_13395 y z)))) (= x y))))) (let ((_let_2864 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10178 v ii) (ite (= i ii) e (ho_10178 u ii)))))))))) (let ((_let_2865 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10178 x z) (ho_10178 y z)))) (= x y))))) (let ((_let_2866 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_13954 v ii) (ite (= i ii) e (ho_13954 u ii)))))))))) (let ((_let_2867 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_13954 x z) (ho_13954 y z)))) (= x y))))) (let ((_let_2868 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|) (e tptp.set_Pr3309569728657787619r_char) (i |u_(-> tptp.char tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_char)|)) (= (ho_13389 v ii) (ite (= i ii) e (ho_13389 u ii)))))))))) (let ((_let_2869 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_char)|)) (= (ho_13389 x z) (ho_13389 y z)))) (= x y))))) (let ((_let_2870 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5939 v ii) (ite (= i ii) e (ho_5939 u ii)))))))))) (let ((_let_2871 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5939 x z) (ho_5939 y z)))) (= x y))))) (let ((_let_2872 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_10358 v ii) (ite (= i ii) e (ho_10358 u ii)))))))))) (let ((_let_2873 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_10358 x z) (ho_10358 y z)))) (= x y))))) (let ((_let_2874 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat tptp.set_o)|) (e |u_(-> tptp.set_rat tptp.set_o)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_13383 v ii) (ite (= i ii) e (ho_13383 u ii)))))))))) (let ((_let_2875 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat tptp.set_o)|) (y |u_(-> _u_(-> tptp.rat Bool)_ tptp.set_rat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_13383 x z) (ho_13383 y z)))) (= x y))))) (let ((_let_2876 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char tptp.set_o)|) (e |u_(-> tptp.set_char tptp.set_o)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13380 v ii) (ite (= i ii) e (ho_13380 u ii)))))))))) (let ((_let_2877 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char tptp.set_o)|) (y |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13380 x z) (ho_13380 y z)))) (= x y))))) (let ((_let_2878 (forall ((u |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_rat tptp.set_char)|) (e |u_(-> tptp.set_rat tptp.set_char)|) (i |u_(-> tptp.rat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_rat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.rat tptp.char)|)) (= (ho_13377 v ii) (ite (= i ii) e (ho_13377 u ii)))))))))) (let ((_let_2879 (forall ((x |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_rat tptp.set_char)|) (y |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.set_rat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.char)|)) (= (ho_13377 x z) (ho_13377 y z)))) (= x y))))) (let ((_let_2880 (forall ((u |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|) (e tptp.set_int_int_o) (i tptp.set_se6260736226359567993nt_int)) (not (forall ((v |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|)) (not (forall ((ii tptp.set_se6260736226359567993nt_int)) (= (ho_6243 v ii) (ite (= i ii) e (ho_6243 u ii)))))))))) (let ((_let_2881 (forall ((x |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|) (y |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|)) (or (not (forall ((z tptp.set_se6260736226359567993nt_int)) (= (ho_6243 x z) (ho_6243 y z)))) (= x y))))) (let ((_let_2882 (forall ((u |u_(-> tptp.set_char tptp.set_int)|) (e tptp.set_int) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_int)|)) (not (forall ((ii tptp.set_char)) (= (ho_13374 v ii) (ite (= i ii) e (ho_13374 u ii)))))))))) (let ((_let_2883 (forall ((x |u_(-> tptp.set_char tptp.set_int)|) (y |u_(-> tptp.set_char tptp.set_int)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13374 x z) (ho_13374 y z)))) (= x y))))) (let ((_let_2884 (forall ((u |u_(-> tptp.set_o _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|) (e |u_(-> _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_13802 v ii) (ite (= i ii) e (ho_13802 u ii)))))))))) (let ((_let_2885 (forall ((x |u_(-> tptp.set_o _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|) (y |u_(-> tptp.set_o _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_13802 x z) (ho_13802 y z)))) (= x y))))) (let ((_let_2886 (forall ((u |u_(-> tptp.set_Pr4334478416066269672t_unit Bool)|) (e Bool) (i tptp.set_Pr4334478416066269672t_unit)) (not (forall ((v |u_(-> tptp.set_Pr4334478416066269672t_unit Bool)|)) (not (forall ((ii tptp.set_Pr4334478416066269672t_unit)) (= (ho_14971 v ii) (ite (= i ii) e (ho_14971 u ii)))))))))) (let ((_let_2887 (forall ((x |u_(-> tptp.set_Pr4334478416066269672t_unit Bool)|) (y |u_(-> tptp.set_Pr4334478416066269672t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr4334478416066269672t_unit)) (= (ho_14971 x z) (ho_14971 y z)))) (= x y))))) (let ((_let_2888 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char tptp.set_nat)|) (e |u_(-> tptp.set_char tptp.set_nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13370 v ii) (ite (= i ii) e (ho_13370 u ii)))))))))) (let ((_let_2889 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char tptp.set_nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_char tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13370 x z) (ho_13370 y z)))) (= x y))))) (let ((_let_2890 (forall ((u |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.char)|)) (= (ho_13754 v ii) (ite (= i ii) e (ho_13754 u ii)))))))))) (let ((_let_2891 (forall ((x |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.char)|)) (= (ho_13754 x z) (ho_13754 y z)))) (= x y))))) (let ((_let_2892 (forall ((u |u_(-> tptp.set_char tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_nat)|)) (not (forall ((ii tptp.set_char)) (= (ho_13371 v ii) (ite (= i ii) e (ho_13371 u ii)))))))))) (let ((_let_2893 (forall ((x |u_(-> tptp.set_char tptp.set_nat)|) (y |u_(-> tptp.set_char tptp.set_nat)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13371 x z) (ho_13371 y z)))) (= x y))))) (let ((_let_2894 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|)) (not (forall ((ii tptp.set_rat)) (= (ho_13359 v ii) (ite (= i ii) e (ho_13359 u ii)))))))))) (let ((_let_2895 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|) (y |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_13359 x z) (ho_13359 y z)))) (= x y))))) (let ((_let_2896 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|) (e |u_(-> tptp.rat tptp.rat Bool)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_13360 v ii) (ite (= i ii) e (ho_13360 u ii)))))))))) (let ((_let_2897 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.rat tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_13360 x z) (ho_13360 y z)))) (= x y))))) (let ((_let_2898 (forall ((u |u_(-> tptp.set_list_nat _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|) (i tptp.set_list_nat)) (not (forall ((v |u_(-> tptp.set_list_nat _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((ii tptp.set_list_nat)) (= (ho_13356 v ii) (ite (= i ii) e (ho_13356 u ii)))))))))) (let ((_let_2899 (forall ((x |u_(-> tptp.set_list_nat _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|) (y |u_(-> tptp.set_list_nat _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|)) (or (not (forall ((z tptp.set_list_nat)) (= (ho_13356 x z) (ho_13356 y z)))) (= x y))))) (let ((_let_2900 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7840 v ii) (ite (= i ii) e (ho_7840 u ii)))))))))) (let ((_let_2901 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7840 x z) (ho_7840 y z)))) (= x y))))) (let ((_let_2902 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|) (e |u_(-> tptp.list_nat tptp.list_nat Bool)|) (i |u_(-> tptp.list_nat tptp.list_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.list_nat)|)) (= (ho_13357 v ii) (ite (= i ii) e (ho_13357 u ii)))))))))) (let ((_let_2903 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.list_nat tptp.list_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.list_nat)|)) (= (ho_13357 x z) (ho_13357 y z)))) (= x y))))) (let ((_let_2904 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_13353 v ii) (ite (= i ii) e (ho_13353 u ii)))))))))) (let ((_let_2905 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|) (y |u_(-> tptp.set_char _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13353 x z) (ho_13353 y z)))) (= x y))))) (let ((_let_2906 (forall ((u |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_13350 v ii) (ite (= i ii) e (ho_13350 u ii)))))))))) (let ((_let_2907 (forall ((x |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_13350 x z) (ho_13350 y z)))) (= x y))))) (let ((_let_2908 (forall ((u |u_(-> tptp.set_nat tptp.int tptp.set_rat)|) (e |u_(-> tptp.int tptp.set_rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.int tptp.set_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7405 v ii) (ite (= i ii) e (ho_7405 u ii)))))))))) (let ((_let_2909 (forall ((x |u_(-> tptp.set_nat tptp.int tptp.set_rat)|) (y |u_(-> tptp.set_nat tptp.int tptp.set_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7405 x z) (ho_7405 y z)))) (= x y))))) (let ((_let_2910 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool)|) (e |u_(-> Bool Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13351 v ii) (ite (= i ii) e (ho_13351 u ii)))))))))) (let ((_let_2911 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13351 x z) (ho_13351 y z)))) (= x y))))) (let ((_let_2912 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat tptp.set_list_nat)|) (e |u_(-> tptp.set_list_nat tptp.set_list_nat)|) (i |u_(-> tptp.list_nat tptp.list_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat tptp.set_list_nat)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.list_nat)|)) (= (ho_13346 v ii) (ite (= i ii) e (ho_13346 u ii)))))))))) (let ((_let_2913 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat tptp.set_list_nat)|) (y |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat tptp.set_list_nat)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.list_nat)|)) (= (ho_13346 x z) (ho_13346 y z)))) (= x y))))) (let ((_let_2914 (forall ((u |u_(-> tptp.set_list_nat tptp.set_list_nat)|) (e tptp.set_list_nat) (i tptp.set_list_nat)) (not (forall ((v |u_(-> tptp.set_list_nat tptp.set_list_nat)|)) (not (forall ((ii tptp.set_list_nat)) (= (ho_13347 v ii) (ite (= i ii) e (ho_13347 u ii)))))))))) (let ((_let_2915 (forall ((x |u_(-> tptp.set_list_nat tptp.set_list_nat)|) (y |u_(-> tptp.set_list_nat tptp.set_list_nat)|)) (or (not (forall ((z tptp.set_list_nat)) (= (ho_13347 x z) (ho_13347 y z)))) (= x y))))) (let ((_let_2916 (forall ((u |u_(-> tptp.set_rat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_nat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_7424 v ii) (ite (= i ii) e (ho_7424 u ii)))))))))) (let ((_let_2917 (forall ((x |u_(-> tptp.set_rat tptp.set_nat)|) (y |u_(-> tptp.set_rat tptp.set_nat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_7424 x z) (ho_7424 y z)))) (= x y))))) (let ((_let_2918 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char tptp.set_char)|) (e |u_(-> tptp.set_char tptp.set_char)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13343 v ii) (ite (= i ii) e (ho_13343 u ii)))))))))) (let ((_let_2919 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13343 x z) (ho_13343 y z)))) (= x y))))) (let ((_let_2920 (forall ((u |u_(-> tptp.set_set_int tptp.set_set_int Bool)|) (e |u_(-> tptp.set_set_int Bool)|) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_set_int Bool)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_13333 v ii) (ite (= i ii) e (ho_13333 u ii)))))))))) (let ((_let_2921 (forall ((x |u_(-> tptp.set_set_int tptp.set_set_int Bool)|) (y |u_(-> tptp.set_set_int tptp.set_set_int Bool)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_13333 x z) (ho_13333 y z)))) (= x y))))) (let ((_let_2922 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_o_o Bool)|) (e |u_(-> tptp.set_o_o Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_o_o Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_15466 v ii) (ite (= i ii) e (ho_15466 u ii)))))))))) (let ((_let_2923 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_o_o Bool)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_o_o Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_15466 x z) (ho_15466 y z)))) (= x y))))) (let ((_let_2924 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|) (e tptp.produc1319942482725812455at_nat) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14995 v ii) (ite (= i ii) e (ho_14995 u ii)))))))))) (let ((_let_2925 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14995 x z) (ho_14995 y z)))) (= x y))))) (let ((_let_2926 (forall ((u |u_(-> tptp.set_set_int Bool)|) (e Bool) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int Bool)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_13334 v ii) (ite (= i ii) e (ho_13334 u ii)))))))))) (let ((_let_2927 (forall ((x |u_(-> tptp.set_set_int Bool)|) (y |u_(-> tptp.set_set_int Bool)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_13334 x z) (ho_13334 y z)))) (= x y))))) (let ((_let_2928 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8306 v ii) (ite (= i ii) e (ho_8306 u ii)))))))))) (let ((_let_2929 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8306 x z) (ho_8306 y z)))) (= x y))))) (let ((_let_2930 (forall ((u |u_(-> tptp.set_set_nat Bool)|) (e Bool) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat Bool)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_13330 v ii) (ite (= i ii) e (ho_13330 u ii)))))))))) (let ((_let_2931 (forall ((x |u_(-> tptp.set_set_nat Bool)|) (y |u_(-> tptp.set_set_nat Bool)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_13330 x z) (ho_13330 y z)))) (= x y))))) (let ((_let_2932 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_10144 v ii) (ite (= i ii) e (ho_10144 u ii)))))))))) (let ((_let_2933 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_10144 x z) (ho_10144 y z)))) (= x y))))) (let ((_let_2934 (forall ((u |u_(-> Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii Bool)) (= (ho_5772 v ii) (ite (= i ii) e (ho_5772 u ii)))))))))) (let ((_let_2935 (forall ((x |u_(-> Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z Bool)) (= (ho_5772 x z) (ho_5772 y z)))) (= x y))))) (let ((_let_2936 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13762 v ii) (ite (= i ii) e (ho_13762 u ii)))))))))) (let ((_let_2937 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13762 x z) (ho_13762 y z)))) (= x y))))) (let ((_let_2938 (forall ((u |u_(-> tptp.set_set_rat Bool)|) (e Bool) (i tptp.set_set_rat)) (not (forall ((v |u_(-> tptp.set_set_rat Bool)|)) (not (forall ((ii tptp.set_set_rat)) (= (ho_13327 v ii) (ite (= i ii) e (ho_13327 u ii)))))))))) (let ((_let_2939 (forall ((x |u_(-> tptp.set_set_rat Bool)|) (y |u_(-> tptp.set_set_rat Bool)|)) (or (not (forall ((z tptp.set_set_rat)) (= (ho_13327 x z) (ho_13327 y z)))) (= x y))))) (let ((_let_2940 (forall ((u |u_(-> tptp.set_rat tptp.set_set_rat)|) (e tptp.set_set_rat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_13320 v ii) (ite (= i ii) e (ho_13320 u ii)))))))))) (let ((_let_2941 (forall ((x |u_(-> tptp.set_rat tptp.set_set_rat)|) (y |u_(-> tptp.set_rat tptp.set_set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_13320 x z) (ho_13320 y z)))) (= x y))))) (let ((_let_2942 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_5546 v ii) (ite (= i ii) e (ho_5546 u ii)))))))))) (let ((_let_2943 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_5546 x z) (ho_5546 y z)))) (= x y))))) (let ((_let_2944 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|) (e |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|) (i |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (= (ho_13317 v ii) (ite (= i ii) e (ho_13317 u ii)))))))))) (let ((_let_2945 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (= (ho_13317 x z) (ho_13317 y z)))) (= x y))))) (let ((_let_2946 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.set_num Bool)|) (e |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num Bool)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.set_num Bool)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13734 v ii) (ite (= i ii) e (ho_13734 u ii)))))))))) (let ((_let_2947 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.set_num Bool)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.num Bool)_ tptp.set_num Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13734 x z) (ho_13734 y z)))) (= x y))))) (let ((_let_2948 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|) (e |u_(-> Bool tptp.product_prod_o_o)|) (i |u_(-> Bool tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_13318 v ii) (ite (= i ii) e (ho_13318 u ii)))))))))) (let ((_let_2949 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_13318 x z) (ho_13318 y z)))) (= x y))))) (let ((_let_2950 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_8311 v ii) (ite (= i ii) e (ho_8311 u ii)))))))))) (let ((_let_2951 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_8311 x z) (ho_8311 y z)))) (= x y))))) (let ((_let_2952 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13311 v ii) (ite (= i ii) e (ho_13311 u ii)))))))))) (let ((_let_2953 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13311 x z) (ho_13311 y z)))) (= x y))))) (let ((_let_2954 (forall ((u |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|) (e tptp.product_prod_nat_o) (i tptp.product_prod_o_o)) (not (forall ((v |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (not (forall ((ii tptp.product_prod_o_o)) (= (ho_16122 v ii) (ite (= i ii) e (ho_16122 u ii)))))))))) (let ((_let_2955 (forall ((x |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|) (y |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (or (not (forall ((z tptp.product_prod_o_o)) (= (ho_16122 x z) (ho_16122 y z)))) (= x y))))) (let ((_let_2956 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13493 v ii) (ite (= i ii) e (ho_13493 u ii)))))))))) (let ((_let_2957 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13493 x z) (ho_13493 y z)))) (= x y))))) (let ((_let_2958 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13307 v ii) (ite (= i ii) e (ho_13307 u ii)))))))))) (let ((_let_2959 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13307 x z) (ho_13307 y z)))) (= x y))))) (let ((_let_2960 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|) (e |u_(-> Bool tptp.product_prod_nat_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13308 v ii) (ite (= i ii) e (ho_13308 u ii)))))))))) (let ((_let_2961 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13308 x z) (ho_13308 y z)))) (= x y))))) (let ((_let_2962 (forall ((u |u_(-> Bool tptp.product_prod_nat_o)|) (e tptp.product_prod_nat_o) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_nat_o)|)) (not (forall ((ii Bool)) (= (ho_13309 v ii) (ite (= i ii) e (ho_13309 u ii)))))))))) (let ((_let_2963 (forall ((x |u_(-> Bool tptp.product_prod_nat_o)|) (y |u_(-> Bool tptp.product_prod_nat_o)|)) (or (not (forall ((z Bool)) (= (ho_13309 x z) (ho_13309 y z)))) (= x y))))) (let ((_let_2964 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_8221 v ii) (ite (= i ii) e (ho_8221 u ii)))))))))) (let ((_let_2965 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_8221 x z) (ho_8221 y z)))) (= x y))))) (let ((_let_2966 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_14522 v ii) (ite (= i ii) e (ho_14522 u ii)))))))))) (let ((_let_2967 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_14522 x z) (ho_14522 y z)))) (= x y))))) (let ((_let_2968 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|) (e tptp.set_list_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_15553 v ii) (ite (= i ii) e (ho_15553 u ii)))))))))) (let ((_let_2969 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_15553 x z) (ho_15553 y z)))) (= x y))))) (let ((_let_2970 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|) (e tptp.set_Pr1133966238863718811t_unit) (i |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (= (ho_14510 v ii) (ite (= i ii) e (ho_14510 u ii)))))))))) (let ((_let_2971 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (= (ho_14510 x z) (ho_14510 y z)))) (= x y))))) (let ((_let_2972 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Product_unit tptp.set_set_rat)|) (e |u_(-> tptp.set_Product_unit tptp.set_set_rat)|) (i |u_(-> tptp.product_unit tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Product_unit tptp.set_set_rat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_15023 v ii) (ite (= i ii) e (ho_15023 u ii)))))))))) (let ((_let_2973 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Product_unit tptp.set_set_rat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Product_unit tptp.set_set_rat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_15023 x z) (ho_15023 y z)))) (= x y))))) (let ((_let_2974 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|) (e |u_(-> tptp.nat tptp.product_prod_num_o)|) (i |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (= (ho_13305 v ii) (ite (= i ii) e (ho_13305 u ii)))))))))) (let ((_let_2975 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (= (ho_13305 x z) (ho_13305 y z)))) (= x y))))) (let ((_let_2976 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12279 v ii) (ite (= i ii) e (ho_12279 u ii)))))))))) (let ((_let_2977 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12279 x z) (ho_12279 y z)))) (= x y))))) (let ((_let_2978 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13300 v ii) (ite (= i ii) e (ho_13300 u ii)))))))))) (let ((_let_2979 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13300 x z) (ho_13300 y z)))) (= x y))))) (let ((_let_2980 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7820 v ii) (ite (= i ii) e (ho_7820 u ii)))))))))) (let ((_let_2981 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7820 x z) (ho_7820 y z)))) (= x y))))) (let ((_let_2982 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|) (e |u_(-> tptp.nat tptp.product_prod_num_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13301 v ii) (ite (= i ii) e (ho_13301 u ii)))))))))) (let ((_let_2983 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13301 x z) (ho_13301 y z)))) (= x y))))) (let ((_let_2984 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13294 v ii) (ite (= i ii) e (ho_13294 u ii)))))))))) (let ((_let_2985 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13294 x z) (ho_13294 y z)))) (= x y))))) (let ((_let_2986 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|) (e tptp.set_Pr1763845938948868674it_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15425 v ii) (ite (= i ii) e (ho_15425 u ii)))))))))) (let ((_let_2987 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15425 x z) (ho_15425 y z)))) (= x y))))) (let ((_let_2988 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13295 v ii) (ite (= i ii) e (ho_13295 u ii)))))))))) (let ((_let_2989 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13295 x z) (ho_13295 y z)))) (= x y))))) (let ((_let_2990 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_16121 v ii) (ite (= i ii) e (ho_16121 u ii)))))))))) (let ((_let_2991 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_16121 x z) (ho_16121 y z)))) (= x y))))) (let ((_let_2992 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_int tptp.set_char)|) (e |u_(-> tptp.set_int tptp.set_char)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_int tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_15594 v ii) (ite (= i ii) e (ho_15594 u ii)))))))))) (let ((_let_2993 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_int tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_int tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_15594 x z) (ho_15594 y z)))) (= x y))))) (let ((_let_2994 (forall ((u |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|) (e |u_(-> tptp.num tptp.product_prod_num_nat)|) (i |u_(-> tptp.num tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.product_prod_num_nat)|)) (= (ho_13298 v ii) (ite (= i ii) e (ho_13298 u ii)))))))))) (let ((_let_2995 (forall ((x |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.product_prod_num_nat)|)) (= (ho_13298 x z) (ho_13298 y z)))) (= x y))))) (let ((_let_2996 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_9782 v ii) (ite (= i ii) e (ho_9782 u ii)))))))))) (let ((_let_2997 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_9782 x z) (ho_9782 y z)))) (= x y))))) (let ((_let_2998 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13291 v ii) (ite (= i ii) e (ho_13291 u ii)))))))))) (let ((_let_2999 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13291 x z) (ho_13291 y z)))) (= x y))))) (let ((_let_3000 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (= (ho_13287 v ii) (ite (= i ii) e (ho_13287 u ii)))))))))) (let ((_let_3001 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (= (ho_13287 x z) (ho_13287 y z)))) (= x y))))) (let ((_let_3002 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_15286 v ii) (ite (= i ii) e (ho_15286 u ii)))))))))) (let ((_let_3003 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_15286 x z) (ho_15286 y z)))) (= x y))))) (let ((_let_3004 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13284 v ii) (ite (= i ii) e (ho_13284 u ii)))))))))) (let ((_let_3005 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13284 x z) (ho_13284 y z)))) (= x y))))) (let ((_let_3006 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_nat tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15663 v ii) (ite (= i ii) e (ho_15663 u ii)))))))))) (let ((_let_3007 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_15663 x z) (ho_15663 y z)))) (= x y))))) (let ((_let_3008 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13285 v ii) (ite (= i ii) e (ho_13285 u ii)))))))))) (let ((_let_3009 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13285 x z) (ho_13285 y z)))) (= x y))))) (let ((_let_3010 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (= (ho_15674 v ii) (ite (= i ii) e (ho_15674 u ii)))))))))) (let ((_let_3011 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.produc3788275437394581276t_unit)|)) (= (ho_15674 x z) (ho_15674 y z)))) (= x y))))) (let ((_let_3012 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_10925 v ii) (ite (= i ii) e (ho_10925 u ii)))))))))) (let ((_let_3013 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_10925 x z) (ho_10925 y z)))) (= x y))))) (let ((_let_3014 (forall ((u |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|) (e |u_(-> tptp.num tptp.product_prod_o_nat)|) (i |u_(-> tptp.num tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.product_prod_num_nat)|)) (= (ho_13288 v ii) (ite (= i ii) e (ho_13288 u ii)))))))))) (let ((_let_3015 (forall ((x |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.product_prod_num_nat)|)) (= (ho_13288 x z) (ho_13288 y z)))) (= x y))))) (let ((_let_3016 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13280 v ii) (ite (= i ii) e (ho_13280 u ii)))))))))) (let ((_let_3017 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13280 x z) (ho_13280 y z)))) (= x y))))) (let ((_let_3018 (forall ((u |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|) (e tptp.set_Pr8146363407509552702ar_int) (i tptp.set_Pr4256460214963601898ar_rat)) (not (forall ((v |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|)) (not (forall ((ii tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13446 v ii) (ite (= i ii) e (ho_13446 u ii)))))))))) (let ((_let_3019 (forall ((x |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|) (y |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr8146363407509552702ar_int)|)) (or (not (forall ((z tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13446 x z) (ho_13446 y z)))) (= x y))))) (let ((_let_3020 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.num Bool)_ tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.num Bool)_ tptp.num Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13277 v ii) (ite (= i ii) e (ho_13277 u ii)))))))))) (let ((_let_3021 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.num Bool)_ tptp.num Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.num Bool)_ tptp.num Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13277 x z) (ho_13277 y z)))) (= x y))))) (let ((_let_3022 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_rat tptp.set_Product_unit)|) (e |u_(-> tptp.set_rat tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_rat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_15659 v ii) (ite (= i ii) e (ho_15659 u ii)))))))))) (let ((_let_3023 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_rat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_rat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_15659 x z) (ho_15659 y z)))) (= x y))))) (let ((_let_3024 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|) (e |u_(-> tptp.num tptp.product_prod_o_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13281 v ii) (ite (= i ii) e (ho_13281 u ii)))))))))) (let ((_let_3025 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13281 x z) (ho_13281 y z)))) (= x y))))) (let ((_let_3026 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (= (ho_13274 v ii) (ite (= i ii) e (ho_13274 u ii)))))))))) (let ((_let_3027 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (= (ho_13274 x z) (ho_13274 y z)))) (= x y))))) (let ((_let_3028 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13271 v ii) (ite (= i ii) e (ho_13271 u ii)))))))))) (let ((_let_3029 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13271 x z) (ho_13271 y z)))) (= x y))))) (let ((_let_3030 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5779 v ii) (ite (= i ii) e (ho_5779 u ii)))))))))) (let ((_let_3031 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5779 x z) (ho_5779 y z)))) (= x y))))) (let ((_let_3032 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13272 v ii) (ite (= i ii) e (ho_13272 u ii)))))))))) (let ((_let_3033 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13272 x z) (ho_13272 y z)))) (= x y))))) (let ((_let_3034 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (e |u_(-> Bool tptp.set_o)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_6045 v ii) (ite (= i ii) e (ho_6045 u ii)))))))))) (let ((_let_3035 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_6045 x z) (ho_6045 y z)))) (= x y))))) (let ((_let_3036 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|) (e |u_(-> tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_15699 v ii) (ite (= i ii) e (ho_15699 u ii)))))))))) (let ((_let_3037 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_15699 x z) (ho_15699 y z)))) (= x y))))) (let ((_let_3038 (forall ((u |u_(-> tptp.set_set_int tptp.set_int_o)|) (e tptp.set_int_o) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_int_o)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_6190 v ii) (ite (= i ii) e (ho_6190 u ii)))))))))) (let ((_let_3039 (forall ((x |u_(-> tptp.set_set_int tptp.set_int_o)|) (y |u_(-> tptp.set_set_int tptp.set_int_o)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_6190 x z) (ho_6190 y z)))) (= x y))))) (let ((_let_3040 (forall ((u |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|) (e |u_(-> tptp.num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.num tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.product_prod_num_nat)|)) (= (ho_13275 v ii) (ite (= i ii) e (ho_13275 u ii)))))))))) (let ((_let_3041 (forall ((x |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.product_prod_num_nat)|)) (= (ho_13275 x z) (ho_13275 y z)))) (= x y))))) (let ((_let_3042 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5612 v ii) (ite (= i ii) e (ho_5612 u ii)))))))))) (let ((_let_3043 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5612 x z) (ho_5612 y z)))) (= x y))))) (let ((_let_3044 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13268 v ii) (ite (= i ii) e (ho_13268 u ii)))))))))) (let ((_let_3045 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13268 x z) (ho_13268 y z)))) (= x y))))) (let ((_let_3046 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7826 v ii) (ite (= i ii) e (ho_7826 u ii)))))))))) (let ((_let_3047 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7826 x z) (ho_7826 y z)))) (= x y))))) (let ((_let_3048 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13264 v ii) (ite (= i ii) e (ho_13264 u ii)))))))))) (let ((_let_3049 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13264 x z) (ho_13264 y z)))) (= x y))))) (let ((_let_3050 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5149 v ii) (ite (= i ii) e (ho_5149 u ii)))))))))) (let ((_let_3051 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5149 x z) (ho_5149 y z)))) (= x y))))) (let ((_let_3052 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7823 v ii) (ite (= i ii) e (ho_7823 u ii)))))))))) (let ((_let_3053 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7823 x z) (ho_7823 y z)))) (= x y))))) (let ((_let_3054 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13261 v ii) (ite (= i ii) e (ho_13261 u ii)))))))))) (let ((_let_3055 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13261 x z) (ho_13261 y z)))) (= x y))))) (let ((_let_3056 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|) (e |u_(-> tptp.num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13265 v ii) (ite (= i ii) e (ho_13265 u ii)))))))))) (let ((_let_3057 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13265 x z) (ho_13265 y z)))) (= x y))))) (let ((_let_3058 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8605 v ii) (ite (= i ii) e (ho_8605 u ii)))))))))) (let ((_let_3059 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8605 x z) (ho_8605 y z)))) (= x y))))) (let ((_let_3060 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (= (ho_15620 v ii) (ite (= i ii) e (ho_15620 u ii)))))))))) (let ((_let_3061 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)_ tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (= (ho_15620 x z) (ho_15620 y z)))) (= x y))))) (let ((_let_3062 (forall ((u |u_(-> tptp.num tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.num)) (= (ho_13266 v ii) (ite (= i ii) e (ho_13266 u ii)))))))))) (let ((_let_3063 (forall ((x |u_(-> tptp.num tptp.product_prod_nat_nat)|) (y |u_(-> tptp.num tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.num)) (= (ho_13266 x z) (ho_13266 y z)))) (= x y))))) (let ((_let_3064 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13255 v ii) (ite (= i ii) e (ho_13255 u ii)))))))))) (let ((_let_3065 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13255 x z) (ho_13255 y z)))) (= x y))))) (let ((_let_3066 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_14287 v ii) (ite (= i ii) e (ho_14287 u ii)))))))))) (let ((_let_3067 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_14287 x z) (ho_14287 y z)))) (= x y))))) (let ((_let_3068 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int Bool)|) (e Bool) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int Bool)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14501 v ii) (ite (= i ii) e (ho_14501 u ii)))))))))) (let ((_let_3069 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int Bool)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int Bool)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14501 x z) (ho_14501 y z)))) (= x y))))) (let ((_let_3070 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5714 v ii) (ite (= i ii) e (ho_5714 u ii)))))))))) (let ((_let_3071 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5714 x z) (ho_5714 y z)))) (= x y))))) (let ((_let_3072 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7361 v ii) (ite (= i ii) e (ho_7361 u ii)))))))))) (let ((_let_3073 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7361 x z) (ho_7361 y z)))) (= x y))))) (let ((_let_3074 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13256 v ii) (ite (= i ii) e (ho_13256 u ii)))))))))) (let ((_let_3075 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13256 x z) (ho_13256 y z)))) (= x y))))) (let ((_let_3076 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|) (e |u_(-> Bool tptp.product_prod_num_nat)|) (i |u_(-> Bool tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_nat)|)) (= (ho_13259 v ii) (ite (= i ii) e (ho_13259 u ii)))))))))) (let ((_let_3077 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_nat)|)) (= (ho_13259 x z) (ho_13259 y z)))) (= x y))))) (let ((_let_3078 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13251 v ii) (ite (= i ii) e (ho_13251 u ii)))))))))) (let ((_let_3079 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13251 x z) (ho_13251 y z)))) (= x y))))) (let ((_let_3080 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> Bool tptp.num)_ Bool tptp.num)|) (e |u_(-> _u_(-> Bool tptp.num)_ Bool tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> Bool tptp.num)_ Bool tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13248 v ii) (ite (= i ii) e (ho_13248 u ii)))))))))) (let ((_let_3081 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> Bool tptp.num)_ Bool tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> Bool tptp.num)_ Bool tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13248 x z) (ho_13248 y z)))) (= x y))))) (let ((_let_3082 (forall ((u |u_(-> tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.produc8483956148555600810_a_int)) (not (forall ((v |u_(-> tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|)) (not (forall ((ii tptp.produc8483956148555600810_a_int)) (= (ho_12466 v ii) (ite (= i ii) e (ho_12466 u ii)))))))))) (let ((_let_3083 (forall ((x |u_(-> tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|) (y |u_(-> tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.produc8483956148555600810_a_int)) (= (ho_12466 x z) (ho_12466 y z)))) (= x y))))) (let ((_let_3084 (forall ((u |u_(-> tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7775 v ii) (ite (= i ii) e (ho_7775 u ii)))))))))) (let ((_let_3085 (forall ((x |u_(-> tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7775 x z) (ho_7775 y z)))) (= x y))))) (let ((_let_3086 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ Bool tptp.num)|) (e |u_(-> Bool tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ Bool tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_13249 v ii) (ite (= i ii) e (ho_13249 u ii)))))))))) (let ((_let_3087 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ Bool tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ Bool tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_13249 x z) (ho_13249 y z)))) (= x y))))) (let ((_let_3088 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8611 v ii) (ite (= i ii) e (ho_8611 u ii)))))))))) (let ((_let_3089 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8611 x z) (ho_8611 y z)))) (= x y))))) (let ((_let_3090 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (= (ho_15690 v ii) (ite (= i ii) e (ho_15690 u ii)))))))))) (let ((_let_3091 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (= (ho_15690 x z) (ho_15690 y z)))) (= x y))))) (let ((_let_3092 (forall ((u |u_(-> Bool tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_num_nat)|)) (not (forall ((ii Bool)) (= (ho_13253 v ii) (ite (= i ii) e (ho_13253 u ii)))))))))) (let ((_let_3093 (forall ((x |u_(-> Bool tptp.product_prod_num_nat)|) (y |u_(-> Bool tptp.product_prod_num_nat)|)) (or (not (forall ((z Bool)) (= (ho_13253 x z) (ho_13253 y z)))) (= x y))))) (let ((_let_3094 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|) (e |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_15573 v ii) (ite (= i ii) e (ho_15573 u ii)))))))))) (let ((_let_3095 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_15573 x z) (ho_15573 y z)))) (= x y))))) (let ((_let_3096 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|) (e |u_(-> Bool tptp.product_prod_o_nat)|) (i |u_(-> Bool tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_nat)|)) (= (ho_13246 v ii) (ite (= i ii) e (ho_13246 u ii)))))))))) (let ((_let_3097 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_nat)|)) (= (ho_13246 x z) (ho_13246 y z)))) (= x y))))) (let ((_let_3098 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (= (ho_13241 v ii) (ite (= i ii) e (ho_13241 u ii)))))))))) (let ((_let_3099 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (= (ho_13241 x z) (ho_13241 y z)))) (= x y))))) (let ((_let_3100 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13238 v ii) (ite (= i ii) e (ho_13238 u ii)))))))))) (let ((_let_3101 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13238 x z) (ho_13238 y z)))) (= x y))))) (let ((_let_3102 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|) (e |u_(-> tptp.product_prod_nat_nat tptp.num)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_13989 v ii) (ite (= i ii) e (ho_13989 u ii)))))))))) (let ((_let_3103 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_13989 x z) (ho_13989 y z)))) (= x y))))) (let ((_let_3104 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5615 v ii) (ite (= i ii) e (ho_5615 u ii)))))))))) (let ((_let_3105 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5615 x z) (ho_5615 y z)))) (= x y))))) (let ((_let_3106 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13239 v ii) (ite (= i ii) e (ho_13239 u ii)))))))))) (let ((_let_3107 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13239 x z) (ho_13239 y z)))) (= x y))))) (let ((_let_3108 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_16120 v ii) (ite (= i ii) e (ho_16120 u ii)))))))))) (let ((_let_3109 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_o_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_16120 x z) (ho_16120 y z)))) (= x y))))) (let ((_let_3110 (forall ((u |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.produc5066145461314735602t_unit)) (not (forall ((v |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.produc5066145461314735602t_unit)) (= (ho_12484 v ii) (ite (= i ii) e (ho_12484 u ii)))))))))) (let ((_let_3111 (forall ((x |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|) (y |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.produc5066145461314735602t_unit)) (= (ho_12484 x z) (ho_12484 y z)))) (= x y))))) (let ((_let_3112 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|) (e |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15570 v ii) (ite (= i ii) e (ho_15570 u ii)))))))))) (let ((_let_3113 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_15570 x z) (ho_15570 y z)))) (= x y))))) (let ((_let_3114 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|) (e tptp.set_Pr7010166363911110284_nat_o) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_6225 v ii) (ite (= i ii) e (ho_6225 u ii)))))))))) (let ((_let_3115 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_6225 x z) (ho_6225 y z)))) (= x y))))) (let ((_let_3116 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5695 v ii) (ite (= i ii) e (ho_5695 u ii)))))))))) (let ((_let_3117 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5695 x z) (ho_5695 y z)))) (= x y))))) (let ((_let_3118 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|) (e |u_(-> Bool tptp.product_prod_o_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13236 v ii) (ite (= i ii) e (ho_13236 u ii)))))))))) (let ((_let_3119 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13236 x z) (ho_13236 y z)))) (= x y))))) (let ((_let_3120 (forall ((u |u_(-> Bool tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_o_nat)|)) (not (forall ((ii Bool)) (= (ho_13243 v ii) (ite (= i ii) e (ho_13243 u ii)))))))))) (let ((_let_3121 (forall ((x |u_(-> Bool tptp.product_prod_o_nat)|) (y |u_(-> Bool tptp.product_prod_o_nat)|)) (or (not (forall ((z Bool)) (= (ho_13243 x z) (ho_13243 y z)))) (= x y))))) (let ((_let_3122 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (= (ho_13229 v ii) (ite (= i ii) e (ho_13229 u ii)))))))))) (let ((_let_3123 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (= (ho_13229 x z) (ho_13229 y z)))) (= x y))))) (let ((_let_3124 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_13230 v ii) (ite (= i ii) e (ho_13230 u ii)))))))))) (let ((_let_3125 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_13230 x z) (ho_13230 y z)))) (= x y))))) (let ((_let_3126 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13226 v ii) (ite (= i ii) e (ho_13226 u ii)))))))))) (let ((_let_3127 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13226 x z) (ho_13226 y z)))) (= x y))))) (let ((_let_3128 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13227 v ii) (ite (= i ii) e (ho_13227 u ii)))))))))) (let ((_let_3129 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13227 x z) (ho_13227 y z)))) (= x y))))) (let ((_let_3130 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13223 v ii) (ite (= i ii) e (ho_13223 u ii)))))))))) (let ((_let_3131 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13223 x z) (ho_13223 y z)))) (= x y))))) (let ((_let_3132 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_16119 v ii) (ite (= i ii) e (ho_16119 u ii)))))))))) (let ((_let_3133 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_16119 x z) (ho_16119 y z)))) (= x y))))) (let ((_let_3134 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13224 v ii) (ite (= i ii) e (ho_13224 u ii)))))))))) (let ((_let_3135 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13224 x z) (ho_13224 y z)))) (= x y))))) (let ((_let_3136 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13218 v ii) (ite (= i ii) e (ho_13218 u ii)))))))))) (let ((_let_3137 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13218 x z) (ho_13218 y z)))) (= x y))))) (let ((_let_3138 (forall ((u |u_(-> Bool tptp.product_unit Bool tptp.product_unit)|) (e |u_(-> tptp.product_unit Bool tptp.product_unit)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_unit Bool tptp.product_unit)|)) (not (forall ((ii Bool)) (= (ho_15770 v ii) (ite (= i ii) e (ho_15770 u ii)))))))))) (let ((_let_3139 (forall ((x |u_(-> Bool tptp.product_unit Bool tptp.product_unit)|) (y |u_(-> Bool tptp.product_unit Bool tptp.product_unit)|)) (or (not (forall ((z Bool)) (= (ho_15770 x z) (ho_15770 y z)))) (= x y))))) (let ((_let_3140 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_14518 v ii) (ite (= i ii) e (ho_14518 u ii)))))))))) (let ((_let_3141 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.code_integer tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_14518 x z) (ho_14518 y z)))) (= x y))))) (let ((_let_3142 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_13219 v ii) (ite (= i ii) e (ho_13219 u ii)))))))))) (let ((_let_3143 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_13219 x z) (ho_13219 y z)))) (= x y))))) (let ((_let_3144 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_13213 v ii) (ite (= i ii) e (ho_13213 u ii)))))))))) (let ((_let_3145 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_13213 x z) (ho_13213 y z)))) (= x y))))) (let ((_let_3146 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13211 v ii) (ite (= i ii) e (ho_13211 u ii)))))))))) (let ((_let_3147 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13211 x z) (ho_13211 y z)))) (= x y))))) (let ((_let_3148 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11709 v ii) (ite (= i ii) e (ho_11709 u ii)))))))))) (let ((_let_3149 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11709 x z) (ho_11709 y z)))) (= x y))))) (let ((_let_3150 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13204 v ii) (ite (= i ii) e (ho_13204 u ii)))))))))) (let ((_let_3151 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13204 x z) (ho_13204 y z)))) (= x y))))) (let ((_let_3152 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13201 v ii) (ite (= i ii) e (ho_13201 u ii)))))))))) (let ((_let_3153 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13201 x z) (ho_13201 y z)))) (= x y))))) (let ((_let_3154 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16118 v ii) (ite (= i ii) e (ho_16118 u ii)))))))))) (let ((_let_3155 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16118 x z) (ho_16118 y z)))) (= x y))))) (let ((_let_3156 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5586 v ii) (ite (= i ii) e (ho_5586 u ii)))))))))) (let ((_let_3157 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5586 x z) (ho_5586 y z)))) (= x y))))) (let ((_let_3158 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_13205 v ii) (ite (= i ii) e (ho_13205 u ii)))))))))) (let ((_let_3159 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_13205 x z) (ho_13205 y z)))) (= x y))))) (let ((_let_3160 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13198 v ii) (ite (= i ii) e (ho_13198 u ii)))))))))) (let ((_let_3161 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13198 x z) (ho_13198 y z)))) (= x y))))) (let ((_let_3162 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12339 v ii) (ite (= i ii) e (ho_12339 u ii)))))))))) (let ((_let_3163 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12339 x z) (ho_12339 y z)))) (= x y))))) (let ((_let_3164 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7807 v ii) (ite (= i ii) e (ho_7807 u ii)))))))))) (let ((_let_3165 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7807 x z) (ho_7807 y z)))) (= x y))))) (let ((_let_3166 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13195 v ii) (ite (= i ii) e (ho_13195 u ii)))))))))) (let ((_let_3167 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13195 x z) (ho_13195 y z)))) (= x y))))) (let ((_let_3168 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|)) (= (ho_14447 v ii) (ite (= i ii) e (ho_14447 u ii)))))))))) (let ((_let_3169 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|)) (= (ho_14447 x z) (ho_14447 y z)))) (= x y))))) (let ((_let_3170 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_7560 v ii) (ite (= i ii) e (ho_7560 u ii)))))))))) (let ((_let_3171 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_7560 x z) (ho_7560 y z)))) (= x y))))) (let ((_let_3172 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13196 v ii) (ite (= i ii) e (ho_13196 u ii)))))))))) (let ((_let_3173 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13196 x z) (ho_13196 y z)))) (= x y))))) (let ((_let_3174 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13199 v ii) (ite (= i ii) e (ho_13199 u ii)))))))))) (let ((_let_3175 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13199 x z) (ho_13199 y z)))) (= x y))))) (let ((_let_3176 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_8630 v ii) (ite (= i ii) e (ho_8630 u ii)))))))))) (let ((_let_3177 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_8630 x z) (ho_8630 y z)))) (= x y))))) (let ((_let_3178 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13192 v ii) (ite (= i ii) e (ho_13192 u ii)))))))))) (let ((_let_3179 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13192 x z) (ho_13192 y z)))) (= x y))))) (let ((_let_3180 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (i |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|)) (= (ho_14434 v ii) (ite (= i ii) e (ho_14434 u ii)))))))))) (let ((_let_3181 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|)) (= (ho_14434 x z) (ho_14434 y z)))) (= x y))))) (let ((_let_3182 (forall ((u |u_(-> tptp.set_num tptp.set_int)|) (e tptp.set_int) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.set_int)|)) (not (forall ((ii tptp.set_num)) (= (ho_7321 v ii) (ite (= i ii) e (ho_7321 u ii)))))))))) (let ((_let_3183 (forall ((x |u_(-> tptp.set_num tptp.set_int)|) (y |u_(-> tptp.set_num tptp.set_int)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7321 x z) (ho_7321 y z)))) (= x y))))) (let ((_let_3184 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_13193 v ii) (ite (= i ii) e (ho_13193 u ii)))))))))) (let ((_let_3185 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_13193 x z) (ho_13193 y z)))) (= x y))))) (let ((_let_3186 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16117 v ii) (ite (= i ii) e (ho_16117 u ii)))))))))) (let ((_let_3187 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16117 x z) (ho_16117 y z)))) (= x y))))) (let ((_let_3188 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_16116 v ii) (ite (= i ii) e (ho_16116 u ii)))))))))) (let ((_let_3189 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_16116 x z) (ho_16116 y z)))) (= x y))))) (let ((_let_3190 (forall ((u |u_(-> tptp.set_o tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_5789 v ii) (ite (= i ii) e (ho_5789 u ii)))))))))) (let ((_let_3191 (forall ((x |u_(-> tptp.set_o tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_o tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5789 x z) (ho_5789 y z)))) (= x y))))) (let ((_let_3192 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6846 v ii) (ite (= i ii) e (ho_6846 u ii)))))))))) (let ((_let_3193 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6846 x z) (ho_6846 y z)))) (= x y))))) (let ((_let_3194 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_13206 v ii) (ite (= i ii) e (ho_13206 u ii)))))))))) (let ((_let_3195 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_13206 x z) (ho_13206 y z)))) (= x y))))) (let ((_let_3196 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13188 v ii) (ite (= i ii) e (ho_13188 u ii)))))))))) (let ((_let_3197 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13188 x z) (ho_13188 y z)))) (= x y))))) (let ((_let_3198 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13185 v ii) (ite (= i ii) e (ho_13185 u ii)))))))))) (let ((_let_3199 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13185 x z) (ho_13185 y z)))) (= x y))))) (let ((_let_3200 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13182 v ii) (ite (= i ii) e (ho_13182 u ii)))))))))) (let ((_let_3201 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13182 x z) (ho_13182 y z)))) (= x y))))) (let ((_let_3202 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (= (ho_14576 v ii) (ite (= i ii) e (ho_14576 u ii)))))))))) (let ((_let_3203 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (= (ho_14576 x z) (ho_14576 y z)))) (= x y))))) (let ((_let_3204 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_16115 v ii) (ite (= i ii) e (ho_16115 u ii)))))))))) (let ((_let_3205 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_16115 x z) (ho_16115 y z)))) (= x y))))) (let ((_let_3206 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12328 v ii) (ite (= i ii) e (ho_12328 u ii)))))))))) (let ((_let_3207 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12328 x z) (ho_12328 y z)))) (= x y))))) (let ((_let_3208 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14137 v ii) (ite (= i ii) e (ho_14137 u ii)))))))))) (let ((_let_3209 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc3346328345660746739nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14137 x z) (ho_14137 y z)))) (= x y))))) (let ((_let_3210 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_13177 v ii) (ite (= i ii) e (ho_13177 u ii)))))))))) (let ((_let_3211 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_13177 x z) (ho_13177 y z)))) (= x y))))) (let ((_let_3212 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_16114 v ii) (ite (= i ii) e (ho_16114 u ii)))))))))) (let ((_let_3213 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_16114 x z) (ho_16114 y z)))) (= x y))))) (let ((_let_3214 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16113 v ii) (ite (= i ii) e (ho_16113 u ii)))))))))) (let ((_let_3215 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16113 x z) (ho_16113 y z)))) (= x y))))) (let ((_let_3216 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_13190 v ii) (ite (= i ii) e (ho_13190 u ii)))))))))) (let ((_let_3217 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_13190 x z) (ho_13190 y z)))) (= x y))))) (let ((_let_3218 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (= (ho_13172 v ii) (ite (= i ii) e (ho_13172 u ii)))))))))) (let ((_let_3219 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (= (ho_13172 x z) (ho_13172 y z)))) (= x y))))) (let ((_let_3220 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_13169 v ii) (ite (= i ii) e (ho_13169 u ii)))))))))) (let ((_let_3221 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_13169 x z) (ho_13169 y z)))) (= x y))))) (let ((_let_3222 (forall ((u |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (i |u_(-> tptp.num Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool Bool)|)) (= (ho_13170 v ii) (ite (= i ii) e (ho_13170 u ii)))))))))) (let ((_let_3223 (forall ((x |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool Bool)|)) (= (ho_13170 x z) (ho_13170 y z)))) (= x y))))) (let ((_let_3224 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8740 v ii) (ite (= i ii) e (ho_8740 u ii)))))))))) (let ((_let_3225 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8740 x z) (ho_8740 y z)))) (= x y))))) (let ((_let_3226 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_16112 v ii) (ite (= i ii) e (ho_16112 u ii)))))))))) (let ((_let_3227 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_16112 x z) (ho_16112 y z)))) (= x y))))) (let ((_let_3228 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13442 v ii) (ite (= i ii) e (ho_13442 u ii)))))))))) (let ((_let_3229 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13442 x z) (ho_13442 y z)))) (= x y))))) (let ((_let_3230 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (= (ho_13173 v ii) (ite (= i ii) e (ho_13173 u ii)))))))))) (let ((_let_3231 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (= (ho_13173 x z) (ho_13173 y z)))) (= x y))))) (let ((_let_3232 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_13166 v ii) (ite (= i ii) e (ho_13166 u ii)))))))))) (let ((_let_3233 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_13166 x z) (ho_13166 y z)))) (= x y))))) (let ((_let_3234 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13163 v ii) (ite (= i ii) e (ho_13163 u ii)))))))))) (let ((_let_3235 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13163 x z) (ho_13163 y z)))) (= x y))))) (let ((_let_3236 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13436 v ii) (ite (= i ii) e (ho_13436 u ii)))))))))) (let ((_let_3237 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13436 x z) (ho_13436 y z)))) (= x y))))) (let ((_let_3238 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_13164 v ii) (ite (= i ii) e (ho_13164 u ii)))))))))) (let ((_let_3239 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_13164 x z) (ho_13164 y z)))) (= x y))))) (let ((_let_3240 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_16111 v ii) (ite (= i ii) e (ho_16111 u ii)))))))))) (let ((_let_3241 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_16111 x z) (ho_16111 y z)))) (= x y))))) (let ((_let_3242 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_16110 v ii) (ite (= i ii) e (ho_16110 u ii)))))))))) (let ((_let_3243 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_16110 x z) (ho_16110 y z)))) (= x y))))) (let ((_let_3244 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16109 v ii) (ite (= i ii) e (ho_16109 u ii)))))))))) (let ((_let_3245 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16109 x z) (ho_16109 y z)))) (= x y))))) (let ((_let_3246 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13155 v ii) (ite (= i ii) e (ho_13155 u ii)))))))))) (let ((_let_3247 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13155 x z) (ho_13155 y z)))) (= x y))))) (let ((_let_3248 (forall ((u |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int Bool)|)) (= (ho_13152 v ii) (ite (= i ii) e (ho_13152 u ii)))))))))) (let ((_let_3249 (forall ((x |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int Bool)|)) (= (ho_13152 x z) (ho_13152 y z)))) (= x y))))) (let ((_let_3250 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_13153 v ii) (ite (= i ii) e (ho_13153 u ii)))))))))) (let ((_let_3251 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_13153 x z) (ho_13153 y z)))) (= x y))))) (let ((_let_3252 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_16108 v ii) (ite (= i ii) e (ho_16108 u ii)))))))))) (let ((_let_3253 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_16108 x z) (ho_16108 y z)))) (= x y))))) (let ((_let_3254 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|)) (= (ho_14580 v ii) (ite (= i ii) e (ho_14580 u ii)))))))))) (let ((_let_3255 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)|)) (= (ho_14580 x z) (ho_14580 y z)))) (= x y))))) (let ((_let_3256 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13149 v ii) (ite (= i ii) e (ho_13149 u ii)))))))))) (let ((_let_3257 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13149 x z) (ho_13149 y z)))) (= x y))))) (let ((_let_3258 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13146 v ii) (ite (= i ii) e (ho_13146 u ii)))))))))) (let ((_let_3259 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13146 x z) (ho_13146 y z)))) (= x y))))) (let ((_let_3260 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o Bool Bool)|) (e |u_(-> tptp.set_o Bool Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8527 v ii) (ite (= i ii) e (ho_8527 u ii)))))))))) (let ((_let_3261 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8527 x z) (ho_8527 y z)))) (= x y))))) (let ((_let_3262 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_14834 v ii) (ite (= i ii) e (ho_14834 u ii)))))))))) (let ((_let_3263 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_14834 x z) (ho_14834 y z)))) (= x y))))) (let ((_let_3264 (forall ((u |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> Bool tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int Bool)|)) (= (ho_13147 v ii) (ite (= i ii) e (ho_13147 u ii)))))))))) (let ((_let_3265 (forall ((x |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int Bool)|)) (= (ho_13147 x z) (ho_13147 y z)))) (= x y))))) (let ((_let_3266 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_16107 v ii) (ite (= i ii) e (ho_16107 u ii)))))))))) (let ((_let_3267 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_16107 x z) (ho_16107 y z)))) (= x y))))) (let ((_let_3268 (forall ((u |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr2101469702781467981_o_nat)) (not (forall ((v |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14902 v ii) (ite (= i ii) e (ho_14902 u ii)))))))))) (let ((_let_3269 (forall ((x |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr2101469702781467981_o_nat)) (= (ho_14902 x z) (ho_14902 y z)))) (= x y))))) (let ((_let_3270 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_6821 v ii) (ite (= i ii) e (ho_6821 u ii)))))))))) (let ((_let_3271 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_6821 x z) (ho_6821 y z)))) (= x y))))) (let ((_let_3272 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13150 v ii) (ite (= i ii) e (ho_13150 u ii)))))))))) (let ((_let_3273 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13150 x z) (ho_13150 y z)))) (= x y))))) (let ((_let_3274 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16106 v ii) (ite (= i ii) e (ho_16106 u ii)))))))))) (let ((_let_3275 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16106 x z) (ho_16106 y z)))) (= x y))))) (let ((_let_3276 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13142 v ii) (ite (= i ii) e (ho_13142 u ii)))))))))) (let ((_let_3277 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13142 x z) (ho_13142 y z)))) (= x y))))) (let ((_let_3278 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7788 v ii) (ite (= i ii) e (ho_7788 u ii)))))))))) (let ((_let_3279 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7788 x z) (ho_7788 y z)))) (= x y))))) (let ((_let_3280 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_13139 v ii) (ite (= i ii) e (ho_13139 u ii)))))))))) (let ((_let_3281 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_13139 x z) (ho_13139 y z)))) (= x y))))) (let ((_let_3282 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_16105 v ii) (ite (= i ii) e (ho_16105 u ii)))))))))) (let ((_let_3283 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_16105 x z) (ho_16105 y z)))) (= x y))))) (let ((_let_3284 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6086 v ii) (ite (= i ii) e (ho_6086 u ii)))))))))) (let ((_let_3285 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6086 x z) (ho_6086 y z)))) (= x y))))) (let ((_let_3286 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_13143 v ii) (ite (= i ii) e (ho_13143 u ii)))))))))) (let ((_let_3287 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_13143 x z) (ho_13143 y z)))) (= x y))))) (let ((_let_3288 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13136 v ii) (ite (= i ii) e (ho_13136 u ii)))))))))) (let ((_let_3289 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13136 x z) (ho_13136 y z)))) (= x y))))) (let ((_let_3290 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13133 v ii) (ite (= i ii) e (ho_13133 u ii)))))))))) (let ((_let_3291 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13133 x z) (ho_13133 y z)))) (= x y))))) (let ((_let_3292 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_13134 v ii) (ite (= i ii) e (ho_13134 u ii)))))))))) (let ((_let_3293 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_13134 x z) (ho_13134 y z)))) (= x y))))) (let ((_let_3294 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8746 v ii) (ite (= i ii) e (ho_8746 u ii)))))))))) (let ((_let_3295 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8746 x z) (ho_8746 y z)))) (= x y))))) (let ((_let_3296 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_16104 v ii) (ite (= i ii) e (ho_16104 u ii)))))))))) (let ((_let_3297 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_16104 x z) (ho_16104 y z)))) (= x y))))) (let ((_let_3298 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_5534 v ii) (ite (= i ii) e (ho_5534 u ii)))))))))) (let ((_let_3299 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_5534 x z) (ho_5534 y z)))) (= x y))))) (let ((_let_3300 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13130 v ii) (ite (= i ii) e (ho_13130 u ii)))))))))) (let ((_let_3301 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_13130 x z) (ho_13130 y z)))) (= x y))))) (let ((_let_3302 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14840 v ii) (ite (= i ii) e (ho_14840 u ii)))))))))) (let ((_let_3303 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14840 x z) (ho_14840 y z)))) (= x y))))) (let ((_let_3304 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10449 v ii) (ite (= i ii) e (ho_10449 u ii)))))))))) (let ((_let_3305 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10449 x z) (ho_10449 y z)))) (= x y))))) (let ((_let_3306 (forall ((u |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> Bool tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.num Bool)|)) (= (ho_13131 v ii) (ite (= i ii) e (ho_13131 u ii)))))))))) (let ((_let_3307 (forall ((x |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.num Bool)|)) (= (ho_13131 x z) (ho_13131 y z)))) (= x y))))) (let ((_let_3308 (forall ((u |u_(-> Bool tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.num Bool)|)) (not (forall ((ii Bool)) (= (ho_13128 v ii) (ite (= i ii) e (ho_13128 u ii)))))))))) (let ((_let_3309 (forall ((x |u_(-> Bool tptp.num Bool)|) (y |u_(-> Bool tptp.num Bool)|)) (or (not (forall ((z Bool)) (= (ho_13128 x z) (ho_13128 y z)))) (= x y))))) (let ((_let_3310 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_16103 v ii) (ite (= i ii) e (ho_16103 u ii)))))))))) (let ((_let_3311 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_16103 x z) (ho_16103 y z)))) (= x y))))) (let ((_let_3312 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13122 v ii) (ite (= i ii) e (ho_13122 u ii)))))))))) (let ((_let_3313 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13122 x z) (ho_13122 y z)))) (= x y))))) (let ((_let_3314 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_16102 v ii) (ite (= i ii) e (ho_16102 u ii)))))))))) (let ((_let_3315 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_16102 x z) (ho_16102 y z)))) (= x y))))) (let ((_let_3316 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14852 v ii) (ite (= i ii) e (ho_14852 u ii)))))))))) (let ((_let_3317 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14852 x z) (ho_14852 y z)))) (= x y))))) (let ((_let_3318 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13126 v ii) (ite (= i ii) e (ho_13126 u ii)))))))))) (let ((_let_3319 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13126 x z) (ho_13126 y z)))) (= x y))))) (let ((_let_3320 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9541 v ii) (ite (= i ii) e (ho_9541 u ii)))))))))) (let ((_let_3321 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9541 x z) (ho_9541 y z)))) (= x y))))) (let ((_let_3322 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13114 v ii) (ite (= i ii) e (ho_13114 u ii)))))))))) (let ((_let_3323 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13114 x z) (ho_13114 y z)))) (= x y))))) (let ((_let_3324 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13115 v ii) (ite (= i ii) e (ho_13115 u ii)))))))))) (let ((_let_3325 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13115 x z) (ho_13115 y z)))) (= x y))))) (let ((_let_3326 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13111 v ii) (ite (= i ii) e (ho_13111 u ii)))))))))) (let ((_let_3327 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13111 x z) (ho_13111 y z)))) (= x y))))) (let ((_let_3328 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_13112 v ii) (ite (= i ii) e (ho_13112 u ii)))))))))) (let ((_let_3329 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_13112 x z) (ho_13112 y z)))) (= x y))))) (let ((_let_3330 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13102 v ii) (ite (= i ii) e (ho_13102 u ii)))))))))) (let ((_let_3331 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13102 x z) (ho_13102 y z)))) (= x y))))) (let ((_let_3332 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13099 v ii) (ite (= i ii) e (ho_13099 u ii)))))))))) (let ((_let_3333 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13099 x z) (ho_13099 y z)))) (= x y))))) (let ((_let_3334 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_12365 v ii) (ite (= i ii) e (ho_12365 u ii)))))))))) (let ((_let_3335 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_12365 x z) (ho_12365 y z)))) (= x y))))) (let ((_let_3336 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13103 v ii) (ite (= i ii) e (ho_13103 u ii)))))))))) (let ((_let_3337 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13103 x z) (ho_13103 y z)))) (= x y))))) (let ((_let_3338 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13097 v ii) (ite (= i ii) e (ho_13097 u ii)))))))))) (let ((_let_3339 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13097 x z) (ho_13097 y z)))) (= x y))))) (let ((_let_3340 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5920 v ii) (ite (= i ii) e (ho_5920 u ii)))))))))) (let ((_let_3341 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5920 x z) (ho_5920 y z)))) (= x y))))) (let ((_let_3342 (forall ((u |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (= (ho_13092 v ii) (ite (= i ii) e (ho_13092 u ii)))))))))) (let ((_let_3343 (forall ((x |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (= (ho_13092 x z) (ho_13092 y z)))) (= x y))))) (let ((_let_3344 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7798 v ii) (ite (= i ii) e (ho_7798 u ii)))))))))) (let ((_let_3345 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7798 x z) (ho_7798 y z)))) (= x y))))) (let ((_let_3346 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13089 v ii) (ite (= i ii) e (ho_13089 u ii)))))))))) (let ((_let_3347 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13089 x z) (ho_13089 y z)))) (= x y))))) (let ((_let_3348 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|) (e |u_(-> _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|)) (not (forall ((ii tptp.set_char)) (= (ho_13412 v ii) (ite (= i ii) e (ho_13412 u ii)))))))))) (let ((_let_3349 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|) (y |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_nat)_ tptp.set_Pr1413074515586503650ar_nat)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13412 x z) (ho_13412 y z)))) (= x y))))) (let ((_let_3350 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13090 v ii) (ite (= i ii) e (ho_13090 u ii)))))))))) (let ((_let_3351 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13090 x z) (ho_13090 y z)))) (= x y))))) (let ((_let_3352 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_16101 v ii) (ite (= i ii) e (ho_16101 u ii)))))))))) (let ((_let_3353 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_16101 x z) (ho_16101 y z)))) (= x y))))) (let ((_let_3354 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4636 v ii) (ite (= i ii) e (ho_4636 u ii)))))))))) (let ((_let_3355 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4636 x z) (ho_4636 y z)))) (= x y))))) (let ((_let_3356 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13087 v ii) (ite (= i ii) e (ho_13087 u ii)))))))))) (let ((_let_3357 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13087 x z) (ho_13087 y z)))) (= x y))))) (let ((_let_3358 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13082 v ii) (ite (= i ii) e (ho_13082 u ii)))))))))) (let ((_let_3359 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13082 x z) (ho_13082 y z)))) (= x y))))) (let ((_let_3360 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_6075 v ii) (ite (= i ii) e (ho_6075 u ii)))))))))) (let ((_let_3361 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_6075 x z) (ho_6075 y z)))) (= x y))))) (let ((_let_3362 (forall ((u |u_(-> _u_(-> tptp.int Bool Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool Bool)|)) (= (ho_14035 v ii) (ite (= i ii) e (ho_14035 u ii)))))))))) (let ((_let_3363 (forall ((x |u_(-> _u_(-> tptp.int Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool Bool)|)) (= (ho_14035 x z) (ho_14035 y z)))) (= x y))))) (let ((_let_3364 (forall ((u |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.list_nat)) (not (forall ((v |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.list_nat)) (= (ho_10430 v ii) (ite (= i ii) e (ho_10430 u ii)))))))))) (let ((_let_3365 (forall ((x |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.list_nat)) (= (ho_10430 x z) (ho_10430 y z)))) (= x y))))) (let ((_let_3366 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7842 v ii) (ite (= i ii) e (ho_7842 u ii)))))))))) (let ((_let_3367 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7842 x z) (ho_7842 y z)))) (= x y))))) (let ((_let_3368 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|) (e |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10278 v ii) (ite (= i ii) e (ho_10278 u ii)))))))))) (let ((_let_3369 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10278 x z) (ho_10278 y z)))) (= x y))))) (let ((_let_3370 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (= (ho_13079 v ii) (ite (= i ii) e (ho_13079 u ii)))))))))) (let ((_let_3371 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (= (ho_13079 x z) (ho_13079 y z)))) (= x y))))) (let ((_let_3372 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13076 v ii) (ite (= i ii) e (ho_13076 u ii)))))))))) (let ((_let_3373 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13076 x z) (ho_13076 y z)))) (= x y))))) (let ((_let_3374 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_16100 v ii) (ite (= i ii) e (ho_16100 u ii)))))))))) (let ((_let_3375 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.code_integer tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_16100 x z) (ho_16100 y z)))) (= x y))))) (let ((_let_3376 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_6070 v ii) (ite (= i ii) e (ho_6070 u ii)))))))))) (let ((_let_3377 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_6070 x z) (ho_6070 y z)))) (= x y))))) (let ((_let_3378 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_13084 v ii) (ite (= i ii) e (ho_13084 u ii)))))))))) (let ((_let_3379 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_13084 x z) (ho_13084 y z)))) (= x y))))) (let ((_let_3380 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|) (e |u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13074 v ii) (ite (= i ii) e (ho_13074 u ii)))))))))) (let ((_let_3381 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13074 x z) (ho_13074 y z)))) (= x y))))) (let ((_let_3382 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13068 v ii) (ite (= i ii) e (ho_13068 u ii)))))))))) (let ((_let_3383 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13068 x z) (ho_13068 y z)))) (= x y))))) (let ((_let_3384 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_15946 v ii) (ite (= i ii) e (ho_15946 u ii)))))))))) (let ((_let_3385 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_15946 x z) (ho_15946 y z)))) (= x y))))) (let ((_let_3386 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13066 v ii) (ite (= i ii) e (ho_13066 u ii)))))))))) (let ((_let_3387 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13066 x z) (ho_13066 y z)))) (= x y))))) (let ((_let_3388 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (= (ho_13063 v ii) (ite (= i ii) e (ho_13063 u ii)))))))))) (let ((_let_3389 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (= (ho_13063 x z) (ho_13063 y z)))) (= x y))))) (let ((_let_3390 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13058 v ii) (ite (= i ii) e (ho_13058 u ii)))))))))) (let ((_let_3391 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13058 x z) (ho_13058 y z)))) (= x y))))) (let ((_let_3392 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (= (ho_13061 v ii) (ite (= i ii) e (ho_13061 u ii)))))))))) (let ((_let_3393 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (= (ho_13061 x z) (ho_13061 y z)))) (= x y))))) (let ((_let_3394 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (= (ho_13064 v ii) (ite (= i ii) e (ho_13064 u ii)))))))))) (let ((_let_3395 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (= (ho_13064 x z) (ho_13064 y z)))) (= x y))))) (let ((_let_3396 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13054 v ii) (ite (= i ii) e (ho_13054 u ii)))))))))) (let ((_let_3397 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13054 x z) (ho_13054 y z)))) (= x y))))) (let ((_let_3398 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_13051 v ii) (ite (= i ii) e (ho_13051 u ii)))))))))) (let ((_let_3399 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_13051 x z) (ho_13051 y z)))) (= x y))))) (let ((_let_3400 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13045 v ii) (ite (= i ii) e (ho_13045 u ii)))))))))) (let ((_let_3401 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13045 x z) (ho_13045 y z)))) (= x y))))) (let ((_let_3402 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13046 v ii) (ite (= i ii) e (ho_13046 u ii)))))))))) (let ((_let_3403 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13046 x z) (ho_13046 y z)))) (= x y))))) (let ((_let_3404 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13042 v ii) (ite (= i ii) e (ho_13042 u ii)))))))))) (let ((_let_3405 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13042 x z) (ho_13042 y z)))) (= x y))))) (let ((_let_3406 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13043 v ii) (ite (= i ii) e (ho_13043 u ii)))))))))) (let ((_let_3407 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13043 x z) (ho_13043 y z)))) (= x y))))) (let ((_let_3408 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (= (ho_13039 v ii) (ite (= i ii) e (ho_13039 u ii)))))))))) (let ((_let_3409 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (= (ho_13039 x z) (ho_13039 y z)))) (= x y))))) (let ((_let_3410 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13036 v ii) (ite (= i ii) e (ho_13036 u ii)))))))))) (let ((_let_3411 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13036 x z) (ho_13036 y z)))) (= x y))))) (let ((_let_3412 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13037 v ii) (ite (= i ii) e (ho_13037 u ii)))))))))) (let ((_let_3413 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13037 x z) (ho_13037 y z)))) (= x y))))) (let ((_let_3414 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_14389 v ii) (ite (= i ii) e (ho_14389 u ii)))))))))) (let ((_let_3415 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_14389 x z) (ho_14389 y z)))) (= x y))))) (let ((_let_3416 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15947 v ii) (ite (= i ii) e (ho_15947 u ii)))))))))) (let ((_let_3417 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15947 x z) (ho_15947 y z)))) (= x y))))) (let ((_let_3418 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13040 v ii) (ite (= i ii) e (ho_13040 u ii)))))))))) (let ((_let_3419 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13040 x z) (ho_13040 y z)))) (= x y))))) (let ((_let_3420 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10732 v ii) (ite (= i ii) e (ho_10732 u ii)))))))))) (let ((_let_3421 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10732 x z) (ho_10732 y z)))) (= x y))))) (let ((_let_3422 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13033 v ii) (ite (= i ii) e (ho_13033 u ii)))))))))) (let ((_let_3423 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13033 x z) (ho_13033 y z)))) (= x y))))) (let ((_let_3424 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13030 v ii) (ite (= i ii) e (ho_13030 u ii)))))))))) (let ((_let_3425 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13030 x z) (ho_13030 y z)))) (= x y))))) (let ((_let_3426 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13529 v ii) (ite (= i ii) e (ho_13529 u ii)))))))))) (let ((_let_3427 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13529 x z) (ho_13529 y z)))) (= x y))))) (let ((_let_3428 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_13027 v ii) (ite (= i ii) e (ho_13027 u ii)))))))))) (let ((_let_3429 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_13027 x z) (ho_13027 y z)))) (= x y))))) (let ((_let_3430 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_13025 v ii) (ite (= i ii) e (ho_13025 u ii)))))))))) (let ((_let_3431 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_13025 x z) (ho_13025 y z)))) (= x y))))) (let ((_let_3432 (forall ((u |u_(-> tptp.set_char tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_15667 v ii) (ite (= i ii) e (ho_15667 u ii)))))))))) (let ((_let_3433 (forall ((x |u_(-> tptp.set_char tptp.set_char Bool)|) (y |u_(-> tptp.set_char tptp.set_char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_15667 x z) (ho_15667 y z)))) (= x y))))) (let ((_let_3434 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_13028 v ii) (ite (= i ii) e (ho_13028 u ii)))))))))) (let ((_let_3435 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_13028 x z) (ho_13028 y z)))) (= x y))))) (let ((_let_3436 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13022 v ii) (ite (= i ii) e (ho_13022 u ii)))))))))) (let ((_let_3437 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13022 x z) (ho_13022 y z)))) (= x y))))) (let ((_let_3438 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13015 v ii) (ite (= i ii) e (ho_13015 u ii)))))))))) (let ((_let_3439 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13015 x z) (ho_13015 y z)))) (= x y))))) (let ((_let_3440 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_13009 v ii) (ite (= i ii) e (ho_13009 u ii)))))))))) (let ((_let_3441 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_13009 x z) (ho_13009 y z)))) (= x y))))) (let ((_let_3442 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|) (e tptp.set_he8644174446132254637t_unit) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_6968 v ii) (ite (= i ii) e (ho_6968 u ii)))))))))) (let ((_let_3443 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_6968 x z) (ho_6968 y z)))) (= x y))))) (let ((_let_3444 (forall ((u |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7799 v ii) (ite (= i ii) e (ho_7799 u ii)))))))))) (let ((_let_3445 (forall ((x |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7799 x z) (ho_7799 y z)))) (= x y))))) (let ((_let_3446 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8533 v ii) (ite (= i ii) e (ho_8533 u ii)))))))))) (let ((_let_3447 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8533 x z) (ho_8533 y z)))) (= x y))))) (let ((_let_3448 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_13010 v ii) (ite (= i ii) e (ho_13010 u ii)))))))))) (let ((_let_3449 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_13010 x z) (ho_13010 y z)))) (= x y))))) (let ((_let_3450 (forall ((u |u_(-> tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_4962 v ii) (ite (= i ii) e (ho_4962 u ii)))))))))) (let ((_let_3451 (forall ((x |u_(-> tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_4962 x z) (ho_4962 y z)))) (= x y))))) (let ((_let_3452 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13016 v ii) (ite (= i ii) e (ho_13016 u ii)))))))))) (let ((_let_3453 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13016 x z) (ho_13016 y z)))) (= x y))))) (let ((_let_3454 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13003 v ii) (ite (= i ii) e (ho_13003 u ii)))))))))) (let ((_let_3455 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13003 x z) (ho_13003 y z)))) (= x y))))) (let ((_let_3456 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_13000 v ii) (ite (= i ii) e (ho_13000 u ii)))))))))) (let ((_let_3457 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_13000 x z) (ho_13000 y z)))) (= x y))))) (let ((_let_3458 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_13001 v ii) (ite (= i ii) e (ho_13001 u ii)))))))))) (let ((_let_3459 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_13001 x z) (ho_13001 y z)))) (= x y))))) (let ((_let_3460 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (= (ho_12997 v ii) (ite (= i ii) e (ho_12997 u ii)))))))))) (let ((_let_3461 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (= (ho_12997 x z) (ho_12997 y z)))) (= x y))))) (let ((_let_3462 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (e tptp.produc101387210554329899nteger) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_16099 v ii) (ite (= i ii) e (ho_16099 u ii)))))))))) (let ((_let_3463 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_16099 x z) (ho_16099 y z)))) (= x y))))) (let ((_let_3464 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_5607 v ii) (ite (= i ii) e (ho_5607 u ii)))))))))) (let ((_let_3465 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_5607 x z) (ho_5607 y z)))) (= x y))))) (let ((_let_3466 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7738 v ii) (ite (= i ii) e (ho_7738 u ii)))))))))) (let ((_let_3467 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7738 x z) (ho_7738 y z)))) (= x y))))) (let ((_let_3468 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (e |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_12998 v ii) (ite (= i ii) e (ho_12998 u ii)))))))))) (let ((_let_3469 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_12998 x z) (ho_12998 y z)))) (= x y))))) (let ((_let_3470 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_12991 v ii) (ite (= i ii) e (ho_12991 u ii)))))))))) (let ((_let_3471 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_12991 x z) (ho_12991 y z)))) (= x y))))) (let ((_let_3472 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12992 v ii) (ite (= i ii) e (ho_12992 u ii)))))))))) (let ((_let_3473 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12992 x z) (ho_12992 y z)))) (= x y))))) (let ((_let_3474 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_12989 v ii) (ite (= i ii) e (ho_12989 u ii)))))))))) (let ((_let_3475 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_12989 x z) (ho_12989 y z)))) (= x y))))) (let ((_let_3476 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|) (i |u_(-> tptp.nat tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_num_num)|)) (= (ho_12986 v ii) (ite (= i ii) e (ho_12986 u ii)))))))))) (let ((_let_3477 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_num_num)|)) (= (ho_12986 x z) (ho_12986 y z)))) (= x y))))) (let ((_let_3478 (forall ((u |u_(-> tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.produc4146679068158859416_a_num)) (not (forall ((v |u_(-> tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.produc4146679068158859416_a_num)) (= (ho_12452 v ii) (ite (= i ii) e (ho_12452 u ii)))))))))) (let ((_let_3479 (forall ((x |u_(-> tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|) (y |u_(-> tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.produc4146679068158859416_a_num)) (= (ho_12452 x z) (ho_12452 y z)))) (= x y))))) (let ((_let_3480 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12983 v ii) (ite (= i ii) e (ho_12983 u ii)))))))))) (let ((_let_3481 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12983 x z) (ho_12983 y z)))) (= x y))))) (let ((_let_3482 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|) (e |u_(-> tptp.nat tptp.product_prod_num_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12984 v ii) (ite (= i ii) e (ho_12984 u ii)))))))))) (let ((_let_3483 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12984 x z) (ho_12984 y z)))) (= x y))))) (let ((_let_3484 (forall ((u |u_(-> tptp.nat tptp.product_prod_num_num)|) (e tptp.product_prod_num_num) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_num_num)|)) (not (forall ((ii tptp.nat)) (= (ho_16098 v ii) (ite (= i ii) e (ho_16098 u ii)))))))))) (let ((_let_3485 (forall ((x |u_(-> tptp.nat tptp.product_prod_num_num)|) (y |u_(-> tptp.nat tptp.product_prod_num_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_16098 x z) (ho_16098 y z)))) (= x y))))) (let ((_let_3486 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|) (e |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12978 v ii) (ite (= i ii) e (ho_12978 u ii)))))))))) (let ((_let_3487 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12978 x z) (ho_12978 y z)))) (= x y))))) (let ((_let_3488 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7825 v ii) (ite (= i ii) e (ho_7825 u ii)))))))))) (let ((_let_3489 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7825 x z) (ho_7825 y z)))) (= x y))))) (let ((_let_3490 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|) (e |u_(-> Bool tptp.product_prod_o_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12979 v ii) (ite (= i ii) e (ho_12979 u ii)))))))))) (let ((_let_3491 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|) (y |u_(-> _u_(-> Bool Bool)_ Bool tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12979 x z) (ho_12979 y z)))) (= x y))))) (let ((_let_3492 (forall ((u |u_(-> _u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (i |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (= (ho_12975 v ii) (ite (= i ii) e (ho_12975 u ii)))))))))) (let ((_let_3493 (forall ((x |u_(-> _u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)_ _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (= (ho_12975 x z) (ho_12975 y z)))) (= x y))))) (let ((_let_3494 (forall ((u |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr5464989305201766866unit_o)) (not (forall ((v |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_o)|)) (not (forall ((ii tptp.set_Pr5464989305201766866unit_o)) (= (ho_14880 v ii) (ite (= i ii) e (ho_14880 u ii)))))))))) (let ((_let_3495 (forall ((x |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_o)|) (y |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr5464989305201766866unit_o)) (= (ho_14880 x z) (ho_14880 y z)))) (= x y))))) (let ((_let_3496 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12972 v ii) (ite (= i ii) e (ho_12972 u ii)))))))))) (let ((_let_3497 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12972 x z) (ho_12972 y z)))) (= x y))))) (let ((_let_3498 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (e |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12973 v ii) (ite (= i ii) e (ho_12973 u ii)))))))))) (let ((_let_3499 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12973 x z) (ho_12973 y z)))) (= x y))))) (let ((_let_3500 (forall ((u |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (e tptp.produc101387210554329899nteger) (i tptp.produc723880050079548563nteger)) (not (forall ((v |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (not (forall ((ii tptp.produc723880050079548563nteger)) (= (ho_16097 v ii) (ite (= i ii) e (ho_16097 u ii)))))))))) (let ((_let_3501 (forall ((x |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|) (y |u_(-> tptp.produc723880050079548563nteger tptp.produc101387210554329899nteger)|)) (or (not (forall ((z tptp.produc723880050079548563nteger)) (= (ho_16097 x z) (ho_16097 y z)))) (= x y))))) (let ((_let_3502 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14775 v ii) (ite (= i ii) e (ho_14775 u ii)))))))))) (let ((_let_3503 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14775 x z) (ho_14775 y z)))) (= x y))))) (let ((_let_3504 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (e |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|) (i |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|)) (= (ho_12976 v ii) (ite (= i ii) e (ho_12976 u ii)))))))))) (let ((_let_3505 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc723880050079548563nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|)) (= (ho_12976 x z) (ho_12976 y z)))) (= x y))))) (let ((_let_3506 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_12969 v ii) (ite (= i ii) e (ho_12969 u ii)))))))))) (let ((_let_3507 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_12969 x z) (ho_12969 y z)))) (= x y))))) (let ((_let_3508 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14038 v ii) (ite (= i ii) e (ho_14038 u ii)))))))))) (let ((_let_3509 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14038 x z) (ho_14038 y z)))) (= x y))))) (let ((_let_3510 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14725 v ii) (ite (= i ii) e (ho_14725 u ii)))))))))) (let ((_let_3511 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_14725 x z) (ho_14725 y z)))) (= x y))))) (let ((_let_3512 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|) (e |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_12970 v ii) (ite (= i ii) e (ho_12970 u ii)))))))))) (let ((_let_3513 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc723880050079548563nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_12970 x z) (ho_12970 y z)))) (= x y))))) (let ((_let_3514 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12966 v ii) (ite (= i ii) e (ho_12966 u ii)))))))))) (let ((_let_3515 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12966 x z) (ho_12966 y z)))) (= x y))))) (let ((_let_3516 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14737 v ii) (ite (= i ii) e (ho_14737 u ii)))))))))) (let ((_let_3517 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14737 x z) (ho_14737 y z)))) (= x y))))) (let ((_let_3518 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (e |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12967 v ii) (ite (= i ii) e (ho_12967 u ii)))))))))) (let ((_let_3519 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12967 x z) (ho_12967 y z)))) (= x y))))) (let ((_let_3520 (forall ((u |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|) (e tptp.produc101387210554329899nteger) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_16096 v ii) (ite (= i ii) e (ho_16096 u ii)))))))))) (let ((_let_3521 (forall ((x |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|) (y |u_(-> tptp.code_integer tptp.produc101387210554329899nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_16096 x z) (ho_16096 y z)))) (= x y))))) (let ((_let_3522 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (= (ho_12963 v ii) (ite (= i ii) e (ho_12963 u ii)))))))))) (let ((_let_3523 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (= (ho_12963 x z) (ho_12963 y z)))) (= x y))))) (let ((_let_3524 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_12964 v ii) (ite (= i ii) e (ho_12964 u ii)))))))))) (let ((_let_3525 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_12964 x z) (ho_12964 y z)))) (= x y))))) (let ((_let_3526 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12957 v ii) (ite (= i ii) e (ho_12957 u ii)))))))))) (let ((_let_3527 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12957 x z) (ho_12957 y z)))) (= x y))))) (let ((_let_3528 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|) (e |u_(-> tptp.int tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_nat)|)) (= (ho_12960 v ii) (ite (= i ii) e (ho_12960 u ii)))))))))) (let ((_let_3529 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_nat)|)) (= (ho_12960 x z) (ho_12960 y z)))) (= x y))))) (let ((_let_3530 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12952 v ii) (ite (= i ii) e (ho_12952 u ii)))))))))) (let ((_let_3531 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12952 x z) (ho_12952 y z)))) (= x y))))) (let ((_let_3532 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|) (e |u_(-> tptp.int tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12953 v ii) (ite (= i ii) e (ho_12953 u ii)))))))))) (let ((_let_3533 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12953 x z) (ho_12953 y z)))) (= x y))))) (let ((_let_3534 (forall ((u |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (e |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (i tptp.set_Pr4334478416066269672t_unit)) (not (forall ((v |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|)) (not (forall ((ii tptp.set_Pr4334478416066269672t_unit)) (= (ho_15172 v ii) (ite (= i ii) e (ho_15172 u ii)))))))))) (let ((_let_3535 (forall ((x |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (y |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|)) (or (not (forall ((z tptp.set_Pr4334478416066269672t_unit)) (= (ho_15172 x z) (ho_15172 y z)))) (= x y))))) (let ((_let_3536 (forall ((u |u_(-> tptp.int tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.int)) (= (ho_16095 v ii) (ite (= i ii) e (ho_16095 u ii)))))))))) (let ((_let_3537 (forall ((x |u_(-> tptp.int tptp.product_prod_nat_num)|) (y |u_(-> tptp.int tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.int)) (= (ho_16095 x z) (ho_16095 y z)))) (= x y))))) (let ((_let_3538 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12947 v ii) (ite (= i ii) e (ho_12947 u ii)))))))))) (let ((_let_3539 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12947 x z) (ho_12947 y z)))) (= x y))))) (let ((_let_3540 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (= (ho_12944 v ii) (ite (= i ii) e (ho_12944 u ii)))))))))) (let ((_let_3541 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (= (ho_12944 x z) (ho_12944 y z)))) (= x y))))) (let ((_let_3542 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|) (e |u_(-> tptp.nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (= (ho_12945 v ii) (ite (= i ii) e (ho_12945 u ii)))))))))) (let ((_let_3543 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (= (ho_12945 x z) (ho_12945 y z)))) (= x y))))) (let ((_let_3544 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|) (e |u_(-> tptp.nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12942 v ii) (ite (= i ii) e (ho_12942 u ii)))))))))) (let ((_let_3545 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12942 x z) (ho_12942 y z)))) (= x y))))) (let ((_let_3546 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (= (ho_12938 v ii) (ite (= i ii) e (ho_12938 u ii)))))))))) (let ((_let_3547 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (= (ho_12938 x z) (ho_12938 y z)))) (= x y))))) (let ((_let_3548 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4981 v ii) (ite (= i ii) e (ho_4981 u ii)))))))))) (let ((_let_3549 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4981 x z) (ho_4981 y z)))) (= x y))))) (let ((_let_3550 (forall ((u |u_(-> Bool tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|)) (not (forall ((ii Bool)) (= (ho_15381 v ii) (ite (= i ii) e (ho_15381 u ii)))))))))) (let ((_let_3551 (forall ((x |u_(-> Bool tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (y |u_(-> Bool tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|)) (or (not (forall ((z Bool)) (= (ho_15381 x z) (ho_15381 y z)))) (= x y))))) (let ((_let_3552 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|) (e |u_(-> tptp.int tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_int)|)) (= (ho_12939 v ii) (ite (= i ii) e (ho_12939 u ii)))))))))) (let ((_let_3553 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_int)_ tptp.int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_int)|)) (= (ho_12939 x z) (ho_12939 y z)))) (= x y))))) (let ((_let_3554 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|) (e |u_(-> tptp.int tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12933 v ii) (ite (= i ii) e (ho_12933 u ii)))))))))) (let ((_let_3555 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12933 x z) (ho_12933 y z)))) (= x y))))) (let ((_let_3556 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|) (e |u_(-> tptp.int tptp.product_prod_num_num)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_12930 v ii) (ite (= i ii) e (ho_12930 u ii)))))))))) (let ((_let_3557 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_12930 x z) (ho_12930 y z)))) (= x y))))) (let ((_let_3558 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12923 v ii) (ite (= i ii) e (ho_12923 u ii)))))))))) (let ((_let_3559 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12923 x z) (ho_12923 y z)))) (= x y))))) (let ((_let_3560 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (= (ho_12921 v ii) (ite (= i ii) e (ho_12921 u ii)))))))))) (let ((_let_3561 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (= (ho_12921 x z) (ho_12921 y z)))) (= x y))))) (let ((_let_3562 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12917 v ii) (ite (= i ii) e (ho_12917 u ii)))))))))) (let ((_let_3563 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12917 x z) (ho_12917 y z)))) (= x y))))) (let ((_let_3564 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|) (i |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (= (ho_12914 v ii) (ite (= i ii) e (ho_12914 u ii)))))))))) (let ((_let_3565 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (= (ho_12914 x z) (ho_12914 y z)))) (= x y))))) (let ((_let_3566 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|) (e |u_(-> tptp.nat tptp.product_prod_o_o)|) (i |u_(-> tptp.nat tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_o_o)|)) (= (ho_12915 v ii) (ite (= i ii) e (ho_12915 u ii)))))))))) (let ((_let_3567 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_o_o)_ tptp.nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_o_o)|)) (= (ho_12915 x z) (ho_12915 y z)))) (= x y))))) (let ((_let_3568 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|) (e |u_(-> tptp.num tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14688 v ii) (ite (= i ii) e (ho_14688 u ii)))))))))) (let ((_let_3569 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.num tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14688 x z) (ho_14688 y z)))) (= x y))))) (let ((_let_3570 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (e |u_(-> tptp.nat tptp.product_prod_o_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12912 v ii) (ite (= i ii) e (ho_12912 u ii)))))))))) (let ((_let_3571 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12912 x z) (ho_12912 y z)))) (= x y))))) (let ((_let_3572 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12908 v ii) (ite (= i ii) e (ho_12908 u ii)))))))))) (let ((_let_3573 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12908 x z) (ho_12908 y z)))) (= x y))))) (let ((_let_3574 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12909 v ii) (ite (= i ii) e (ho_12909 u ii)))))))))) (let ((_let_3575 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12909 x z) (ho_12909 y z)))) (= x y))))) (let ((_let_3576 (forall ((u |u_(-> _u_(-> tptp.set_set_rat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|) (i |u_(-> tptp.set_set_rat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_rat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_set_rat tptp.set_rat)|)) (= (ho_15112 v ii) (ite (= i ii) e (ho_15112 u ii)))))))))) (let ((_let_3577 (forall ((x |u_(-> _u_(-> tptp.set_set_rat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_set_rat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_set_rat)_ tptp.set_set_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_set_rat tptp.set_rat)|)) (= (ho_15112 x z) (ho_15112 y z)))) (= x y))))) (let ((_let_3578 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10083 v ii) (ite (= i ii) e (ho_10083 u ii)))))))))) (let ((_let_3579 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10083 x z) (ho_10083 y z)))) (= x y))))) (let ((_let_3580 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12906 v ii) (ite (= i ii) e (ho_12906 u ii)))))))))) (let ((_let_3581 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12906 x z) (ho_12906 y z)))) (= x y))))) (let ((_let_3582 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_12900 v ii) (ite (= i ii) e (ho_12900 u ii)))))))))) (let ((_let_3583 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_12900 x z) (ho_12900 y z)))) (= x y))))) (let ((_let_3584 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12901 v ii) (ite (= i ii) e (ho_12901 u ii)))))))))) (let ((_let_3585 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12901 x z) (ho_12901 y z)))) (= x y))))) (let ((_let_3586 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_16094 v ii) (ite (= i ii) e (ho_16094 u ii)))))))))) (let ((_let_3587 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_16094 x z) (ho_16094 y z)))) (= x y))))) (let ((_let_3588 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (= (ho_16093 v ii) (ite (= i ii) e (ho_16093 u ii)))))))))) (let ((_let_3589 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (= (ho_16093 x z) (ho_16093 y z)))) (= x y))))) (let ((_let_3590 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (= (ho_12902 v ii) (ite (= i ii) e (ho_12902 u ii)))))))))) (let ((_let_3591 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (= (ho_12902 x z) (ho_12902 y z)))) (= x y))))) (let ((_let_3592 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|)) (= (ho_12903 v ii) (ite (= i ii) e (ho_12903 u ii)))))))))) (let ((_let_3593 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|)) (= (ho_12903 x z) (ho_12903 y z)))) (= x y))))) (let ((_let_3594 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_12892 v ii) (ite (= i ii) e (ho_12892 u ii)))))))))) (let ((_let_3595 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_12892 x z) (ho_12892 y z)))) (= x y))))) (let ((_let_3596 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_12885 v ii) (ite (= i ii) e (ho_12885 u ii)))))))))) (let ((_let_3597 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_12885 x z) (ho_12885 y z)))) (= x y))))) (let ((_let_3598 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12888 v ii) (ite (= i ii) e (ho_12888 u ii)))))))))) (let ((_let_3599 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12888 x z) (ho_12888 y z)))) (= x y))))) (let ((_let_3600 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12882 v ii) (ite (= i ii) e (ho_12882 u ii)))))))))) (let ((_let_3601 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12882 x z) (ho_12882 y z)))) (= x y))))) (let ((_let_3602 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_16092 v ii) (ite (= i ii) e (ho_16092 u ii)))))))))) (let ((_let_3603 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_16092 x z) (ho_16092 y z)))) (= x y))))) (let ((_let_3604 (forall ((u |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_12890 v ii) (ite (= i ii) e (ho_12890 u ii)))))))))) (let ((_let_3605 (forall ((x |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_12890 x z) (ho_12890 y z)))) (= x y))))) (let ((_let_3606 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_4872 v ii) (ite (= i ii) e (ho_4872 u ii)))))))))) (let ((_let_3607 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_4872 x z) (ho_4872 y z)))) (= x y))))) (let ((_let_3608 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12874 v ii) (ite (= i ii) e (ho_12874 u ii)))))))))) (let ((_let_3609 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12874 x z) (ho_12874 y z)))) (= x y))))) (let ((_let_3610 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_10211 v ii) (ite (= i ii) e (ho_10211 u ii)))))))))) (let ((_let_3611 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_10211 x z) (ho_10211 y z)))) (= x y))))) (let ((_let_3612 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_12875 v ii) (ite (= i ii) e (ho_12875 u ii)))))))))) (let ((_let_3613 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_12875 x z) (ho_12875 y z)))) (= x y))))) (let ((_let_3614 (forall ((u |u_(-> tptp.nat tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.num)|)) (not (forall ((ii tptp.nat)) (= (ho_7063 v ii) (ite (= i ii) e (ho_7063 u ii)))))))))) (let ((_let_3615 (forall ((x |u_(-> tptp.nat tptp.int tptp.num)|) (y |u_(-> tptp.nat tptp.int tptp.num)|)) (or (not (forall ((z tptp.nat)) (= (ho_7063 x z) (ho_7063 y z)))) (= x y))))) (let ((_let_3616 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12878 v ii) (ite (= i ii) e (ho_12878 u ii)))))))))) (let ((_let_3617 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12878 x z) (ho_12878 y z)))) (= x y))))) (let ((_let_3618 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12871 v ii) (ite (= i ii) e (ho_12871 u ii)))))))))) (let ((_let_3619 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12871 x z) (ho_12871 y z)))) (= x y))))) (let ((_let_3620 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12872 v ii) (ite (= i ii) e (ho_12872 u ii)))))))))) (let ((_let_3621 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12872 x z) (ho_12872 y z)))) (= x y))))) (let ((_let_3622 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16091 v ii) (ite (= i ii) e (ho_16091 u ii)))))))))) (let ((_let_3623 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16091 x z) (ho_16091 y z)))) (= x y))))) (let ((_let_3624 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12867 v ii) (ite (= i ii) e (ho_12867 u ii)))))))))) (let ((_let_3625 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12867 x z) (ho_12867 y z)))) (= x y))))) (let ((_let_3626 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4647 v ii) (ite (= i ii) e (ho_4647 u ii)))))))))) (let ((_let_3627 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4647 x z) (ho_4647 y z)))) (= x y))))) (let ((_let_3628 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_12864 v ii) (ite (= i ii) e (ho_12864 u ii)))))))))) (let ((_let_3629 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_12864 x z) (ho_12864 y z)))) (= x y))))) (let ((_let_3630 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_6076 v ii) (ite (= i ii) e (ho_6076 u ii)))))))))) (let ((_let_3631 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_6076 x z) (ho_6076 y z)))) (= x y))))) (let ((_let_3632 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12861 v ii) (ite (= i ii) e (ho_12861 u ii)))))))))) (let ((_let_3633 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12861 x z) (ho_12861 y z)))) (= x y))))) (let ((_let_3634 (forall ((u |u_(-> tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_15587 v ii) (ite (= i ii) e (ho_15587 u ii)))))))))) (let ((_let_3635 (forall ((x |u_(-> tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.code_integer _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_15587 x z) (ho_15587 y z)))) (= x y))))) (let ((_let_3636 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12862 v ii) (ite (= i ii) e (ho_12862 u ii)))))))))) (let ((_let_3637 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12862 x z) (ho_12862 y z)))) (= x y))))) (let ((_let_3638 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12865 v ii) (ite (= i ii) e (ho_12865 u ii)))))))))) (let ((_let_3639 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12865 x z) (ho_12865 y z)))) (= x y))))) (let ((_let_3640 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12858 v ii) (ite (= i ii) e (ho_12858 u ii)))))))))) (let ((_let_3641 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12858 x z) (ho_12858 y z)))) (= x y))))) (let ((_let_3642 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12859 v ii) (ite (= i ii) e (ho_12859 u ii)))))))))) (let ((_let_3643 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12859 x z) (ho_12859 y z)))) (= x y))))) (let ((_let_3644 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_16090 v ii) (ite (= i ii) e (ho_16090 u ii)))))))))) (let ((_let_3645 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_16090 x z) (ho_16090 y z)))) (= x y))))) (let ((_let_3646 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_12853 v ii) (ite (= i ii) e (ho_12853 u ii)))))))))) (let ((_let_3647 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_12853 x z) (ho_12853 y z)))) (= x y))))) (let ((_let_3648 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5650 v ii) (ite (= i ii) e (ho_5650 u ii)))))))))) (let ((_let_3649 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5650 x z) (ho_5650 y z)))) (= x y))))) (let ((_let_3650 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_12850 v ii) (ite (= i ii) e (ho_12850 u ii)))))))))) (let ((_let_3651 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_12850 x z) (ho_12850 y z)))) (= x y))))) (let ((_let_3652 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_12851 v ii) (ite (= i ii) e (ho_12851 u ii)))))))))) (let ((_let_3653 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_12851 x z) (ho_12851 y z)))) (= x y))))) (let ((_let_3654 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_16089 v ii) (ite (= i ii) e (ho_16089 u ii)))))))))) (let ((_let_3655 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_16089 x z) (ho_16089 y z)))) (= x y))))) (let ((_let_3656 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12854 v ii) (ite (= i ii) e (ho_12854 u ii)))))))))) (let ((_let_3657 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_12854 x z) (ho_12854 y z)))) (= x y))))) (let ((_let_3658 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12847 v ii) (ite (= i ii) e (ho_12847 u ii)))))))))) (let ((_let_3659 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12847 x z) (ho_12847 y z)))) (= x y))))) (let ((_let_3660 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12844 v ii) (ite (= i ii) e (ho_12844 u ii)))))))))) (let ((_let_3661 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12844 x z) (ho_12844 y z)))) (= x y))))) (let ((_let_3662 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_16088 v ii) (ite (= i ii) e (ho_16088 u ii)))))))))) (let ((_let_3663 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_16088 x z) (ho_16088 y z)))) (= x y))))) (let ((_let_3664 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_6078 v ii) (ite (= i ii) e (ho_6078 u ii)))))))))) (let ((_let_3665 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_6078 x z) (ho_6078 y z)))) (= x y))))) (let ((_let_3666 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12848 v ii) (ite (= i ii) e (ho_12848 u ii)))))))))) (let ((_let_3667 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12848 x z) (ho_12848 y z)))) (= x y))))) (let ((_let_3668 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12841 v ii) (ite (= i ii) e (ho_12841 u ii)))))))))) (let ((_let_3669 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12841 x z) (ho_12841 y z)))) (= x y))))) (let ((_let_3670 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_12842 v ii) (ite (= i ii) e (ho_12842 u ii)))))))))) (let ((_let_3671 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_12842 x z) (ho_12842 y z)))) (= x y))))) (let ((_let_3672 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_7070 v ii) (ite (= i ii) e (ho_7070 u ii)))))))))) (let ((_let_3673 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_7070 x z) (ho_7070 y z)))) (= x y))))) (let ((_let_3674 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_15952 v ii) (ite (= i ii) e (ho_15952 u ii)))))))))) (let ((_let_3675 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_15952 x z) (ho_15952 y z)))) (= x y))))) (let ((_let_3676 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_16087 v ii) (ite (= i ii) e (ho_16087 u ii)))))))))) (let ((_let_3677 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_16087 x z) (ho_16087 y z)))) (= x y))))) (let ((_let_3678 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7806 v ii) (ite (= i ii) e (ho_7806 u ii)))))))))) (let ((_let_3679 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7806 x z) (ho_7806 y z)))) (= x y))))) (let ((_let_3680 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_12855 v ii) (ite (= i ii) e (ho_12855 u ii)))))))))) (let ((_let_3681 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_12855 x z) (ho_12855 y z)))) (= x y))))) (let ((_let_3682 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12837 v ii) (ite (= i ii) e (ho_12837 u ii)))))))))) (let ((_let_3683 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12837 x z) (ho_12837 y z)))) (= x y))))) (let ((_let_3684 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (= (ho_12838 v ii) (ite (= i ii) e (ho_12838 u ii)))))))))) (let ((_let_3685 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (= (ho_12838 x z) (ho_12838 y z)))) (= x y))))) (let ((_let_3686 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12834 v ii) (ite (= i ii) e (ho_12834 u ii)))))))))) (let ((_let_3687 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12834 x z) (ho_12834 y z)))) (= x y))))) (let ((_let_3688 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12831 v ii) (ite (= i ii) e (ho_12831 u ii)))))))))) (let ((_let_3689 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12831 x z) (ho_12831 y z)))) (= x y))))) (let ((_let_3690 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12832 v ii) (ite (= i ii) e (ho_12832 u ii)))))))))) (let ((_let_3691 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12832 x z) (ho_12832 y z)))) (= x y))))) (let ((_let_3692 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_16086 v ii) (ite (= i ii) e (ho_16086 u ii)))))))))) (let ((_let_3693 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_16086 x z) (ho_16086 y z)))) (= x y))))) (let ((_let_3694 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12336 v ii) (ite (= i ii) e (ho_12336 u ii)))))))))) (let ((_let_3695 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12336 x z) (ho_12336 y z)))) (= x y))))) (let ((_let_3696 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_12839 v ii) (ite (= i ii) e (ho_12839 u ii)))))))))) (let ((_let_3697 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_12839 x z) (ho_12839 y z)))) (= x y))))) (let ((_let_3698 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat Bool Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_9668 v ii) (ite (= i ii) e (ho_9668 u ii)))))))))) (let ((_let_3699 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat Bool Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat Bool Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_9668 x z) (ho_9668 y z)))) (= x y))))) (let ((_let_3700 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_12825 v ii) (ite (= i ii) e (ho_12825 u ii)))))))))) (let ((_let_3701 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_12825 x z) (ho_12825 y z)))) (= x y))))) (let ((_let_3702 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16085 v ii) (ite (= i ii) e (ho_16085 u ii)))))))))) (let ((_let_3703 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16085 x z) (ho_16085 y z)))) (= x y))))) (let ((_let_3704 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (e |u_(-> tptp.set_Product_unit Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5747 v ii) (ite (= i ii) e (ho_5747 u ii)))))))))) (let ((_let_3705 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5747 x z) (ho_5747 y z)))) (= x y))))) (let ((_let_3706 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12821 v ii) (ite (= i ii) e (ho_12821 u ii)))))))))) (let ((_let_3707 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12821 x z) (ho_12821 y z)))) (= x y))))) (let ((_let_3708 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_12819 v ii) (ite (= i ii) e (ho_12819 u ii)))))))))) (let ((_let_3709 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_12819 x z) (ho_12819 y z)))) (= x y))))) (let ((_let_3710 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10911 v ii) (ite (= i ii) e (ho_10911 u ii)))))))))) (let ((_let_3711 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10911 x z) (ho_10911 y z)))) (= x y))))) (let ((_let_3712 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16084 v ii) (ite (= i ii) e (ho_16084 u ii)))))))))) (let ((_let_3713 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16084 x z) (ho_16084 y z)))) (= x y))))) (let ((_let_3714 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7810 v ii) (ite (= i ii) e (ho_7810 u ii)))))))))) (let ((_let_3715 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7810 x z) (ho_7810 y z)))) (= x y))))) (let ((_let_3716 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_16083 v ii) (ite (= i ii) e (ho_16083 u ii)))))))))) (let ((_let_3717 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_16083 x z) (ho_16083 y z)))) (= x y))))) (let ((_let_3718 (forall ((u |u_(-> tptp.set_Product_unit Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5748 v ii) (ite (= i ii) e (ho_5748 u ii)))))))))) (let ((_let_3719 (forall ((x |u_(-> tptp.set_Product_unit Bool tptp.set_nat)|) (y |u_(-> tptp.set_Product_unit Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5748 x z) (ho_5748 y z)))) (= x y))))) (let ((_let_3720 (forall ((u |u_(-> tptp.set_char tptp.set_o)|) (e tptp.set_o) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_o)|)) (not (forall ((ii tptp.set_char)) (= (ho_13381 v ii) (ite (= i ii) e (ho_13381 u ii)))))))))) (let ((_let_3721 (forall ((x |u_(-> tptp.set_char tptp.set_o)|) (y |u_(-> tptp.set_char tptp.set_o)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13381 x z) (ho_13381 y z)))) (= x y))))) (let ((_let_3722 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_12810 v ii) (ite (= i ii) e (ho_12810 u ii)))))))))) (let ((_let_3723 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_12810 x z) (ho_12810 y z)))) (= x y))))) (let ((_let_3724 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_12811 v ii) (ite (= i ii) e (ho_12811 u ii)))))))))) (let ((_let_3725 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_12811 x z) (ho_12811 y z)))) (= x y))))) (let ((_let_3726 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_16082 v ii) (ite (= i ii) e (ho_16082 u ii)))))))))) (let ((_let_3727 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_16082 x z) (ho_16082 y z)))) (= x y))))) (let ((_let_3728 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_12814 v ii) (ite (= i ii) e (ho_12814 u ii)))))))))) (let ((_let_3729 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_12814 x z) (ho_12814 y z)))) (= x y))))) (let ((_let_3730 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_12807 v ii) (ite (= i ii) e (ho_12807 u ii)))))))))) (let ((_let_3731 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_12807 x z) (ho_12807 y z)))) (= x y))))) (let ((_let_3732 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5900 v ii) (ite (= i ii) e (ho_5900 u ii)))))))))) (let ((_let_3733 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5900 x z) (ho_5900 y z)))) (= x y))))) (let ((_let_3734 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_12805 v ii) (ite (= i ii) e (ho_12805 u ii)))))))))) (let ((_let_3735 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_12805 x z) (ho_12805 y z)))) (= x y))))) (let ((_let_3736 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12808 v ii) (ite (= i ii) e (ho_12808 u ii)))))))))) (let ((_let_3737 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12808 x z) (ho_12808 y z)))) (= x y))))) (let ((_let_3738 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12800 v ii) (ite (= i ii) e (ho_12800 u ii)))))))))) (let ((_let_3739 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12800 x z) (ho_12800 y z)))) (= x y))))) (let ((_let_3740 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16081 v ii) (ite (= i ii) e (ho_16081 u ii)))))))))) (let ((_let_3741 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16081 x z) (ho_16081 y z)))) (= x y))))) (let ((_let_3742 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7801 v ii) (ite (= i ii) e (ho_7801 u ii)))))))))) (let ((_let_3743 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7801 x z) (ho_7801 y z)))) (= x y))))) (let ((_let_3744 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_12792 v ii) (ite (= i ii) e (ho_12792 u ii)))))))))) (let ((_let_3745 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_12792 x z) (ho_12792 y z)))) (= x y))))) (let ((_let_3746 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_12793 v ii) (ite (= i ii) e (ho_12793 u ii)))))))))) (let ((_let_3747 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_12793 x z) (ho_12793 y z)))) (= x y))))) (let ((_let_3748 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (= (ho_12796 v ii) (ite (= i ii) e (ho_12796 u ii)))))))))) (let ((_let_3749 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (= (ho_12796 x z) (ho_12796 y z)))) (= x y))))) (let ((_let_3750 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12789 v ii) (ite (= i ii) e (ho_12789 u ii)))))))))) (let ((_let_3751 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12789 x z) (ho_12789 y z)))) (= x y))))) (let ((_let_3752 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_12787 v ii) (ite (= i ii) e (ho_12787 u ii)))))))))) (let ((_let_3753 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_12787 x z) (ho_12787 y z)))) (= x y))))) (let ((_let_3754 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int tptp.int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_5431 v ii) (ite (= i ii) e (ho_5431 u ii)))))))))) (let ((_let_3755 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_5431 x z) (ho_5431 y z)))) (= x y))))) (let ((_let_3756 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7002 v ii) (ite (= i ii) e (ho_7002 u ii)))))))))) (let ((_let_3757 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7002 x z) (ho_7002 y z)))) (= x y))))) (let ((_let_3758 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_16080 v ii) (ite (= i ii) e (ho_16080 u ii)))))))))) (let ((_let_3759 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_16080 x z) (ho_16080 y z)))) (= x y))))) (let ((_let_3760 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16079 v ii) (ite (= i ii) e (ho_16079 u ii)))))))))) (let ((_let_3761 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16079 x z) (ho_16079 y z)))) (= x y))))) (let ((_let_3762 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_12798 v ii) (ite (= i ii) e (ho_12798 u ii)))))))))) (let ((_let_3763 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_12798 x z) (ho_12798 y z)))) (= x y))))) (let ((_let_3764 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (= (ho_12781 v ii) (ite (= i ii) e (ho_12781 u ii)))))))))) (let ((_let_3765 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (= (ho_12781 x z) (ho_12781 y z)))) (= x y))))) (let ((_let_3766 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_6091 v ii) (ite (= i ii) e (ho_6091 u ii)))))))))) (let ((_let_3767 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_6091 x z) (ho_6091 y z)))) (= x y))))) (let ((_let_3768 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_12778 v ii) (ite (= i ii) e (ho_12778 u ii)))))))))) (let ((_let_3769 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_12778 x z) (ho_12778 y z)))) (= x y))))) (let ((_let_3770 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (= (ho_12782 v ii) (ite (= i ii) e (ho_12782 u ii)))))))))) (let ((_let_3771 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (= (ho_12782 x z) (ho_12782 y z)))) (= x y))))) (let ((_let_3772 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.set_o tptp.int Bool)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_7590 v ii) (ite (= i ii) e (ho_7590 u ii)))))))))) (let ((_let_3773 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_7590 x z) (ho_7590 y z)))) (= x y))))) (let ((_let_3774 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16078 v ii) (ite (= i ii) e (ho_16078 u ii)))))))))) (let ((_let_3775 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16078 x z) (ho_16078 y z)))) (= x y))))) (let ((_let_3776 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (e |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6089 v ii) (ite (= i ii) e (ho_6089 u ii)))))))))) (let ((_let_3777 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6089 x z) (ho_6089 y z)))) (= x y))))) (let ((_let_3778 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_12784 v ii) (ite (= i ii) e (ho_12784 u ii)))))))))) (let ((_let_3779 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_12784 x z) (ho_12784 y z)))) (= x y))))) (let ((_let_3780 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12766 v ii) (ite (= i ii) e (ho_12766 u ii)))))))))) (let ((_let_3781 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12766 x z) (ho_12766 y z)))) (= x y))))) (let ((_let_3782 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12767 v ii) (ite (= i ii) e (ho_12767 u ii)))))))))) (let ((_let_3783 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12767 x z) (ho_12767 y z)))) (= x y))))) (let ((_let_3784 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|) (i |u_(-> tptp.product_prod_int_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.nat)|)) (= (ho_12763 v ii) (ite (= i ii) e (ho_12763 u ii)))))))))) (let ((_let_3785 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.nat)|)) (= (ho_12763 x z) (ho_12763 y z)))) (= x y))))) (let ((_let_3786 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.nat)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (= (ho_12764 v ii) (ite (= i ii) e (ho_12764 u ii)))))))))) (let ((_let_3787 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)_ tptp.product_prod_int_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (= (ho_12764 x z) (ho_12764 y z)))) (= x y))))) (let ((_let_3788 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12760 v ii) (ite (= i ii) e (ho_12760 u ii)))))))))) (let ((_let_3789 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12760 x z) (ho_12760 y z)))) (= x y))))) (let ((_let_3790 (forall ((u |u_(-> tptp.set_he8644174446132254637t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (e |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (i tptp.set_he8644174446132254637t_unit)) (not (forall ((v |u_(-> tptp.set_he8644174446132254637t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.set_he8644174446132254637t_unit)) (= (ho_6959 v ii) (ite (= i ii) e (ho_6959 u ii)))))))))) (let ((_let_3791 (forall ((x |u_(-> tptp.set_he8644174446132254637t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.set_he8644174446132254637t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.set_he8644174446132254637t_unit)) (= (ho_6959 x z) (ho_6959 y z)))) (= x y))))) (let ((_let_3792 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (e tptp.product_prod_int_nat) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_16077 v ii) (ite (= i ii) e (ho_16077 u ii)))))))))) (let ((_let_3793 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_16077 x z) (ho_16077 y z)))) (= x y))))) (let ((_let_3794 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12757 v ii) (ite (= i ii) e (ho_12757 u ii)))))))))) (let ((_let_3795 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12757 x z) (ho_12757 y z)))) (= x y))))) (let ((_let_3796 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.nat)|) (e tptp.nat) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_14661 v ii) (ite (= i ii) e (ho_14661 u ii)))))))))) (let ((_let_3797 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.nat)|) (y |u_(-> tptp.product_prod_int_nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_14661 x z) (ho_14661 y z)))) (= x y))))) (let ((_let_3798 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (= (ho_12755 v ii) (ite (= i ii) e (ho_12755 u ii)))))))))) (let ((_let_3799 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (= (ho_12755 x z) (ho_12755 y z)))) (= x y))))) (let ((_let_3800 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12751 v ii) (ite (= i ii) e (ho_12751 u ii)))))))))) (let ((_let_3801 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12751 x z) (ho_12751 y z)))) (= x y))))) (let ((_let_3802 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12752 v ii) (ite (= i ii) e (ho_12752 u ii)))))))))) (let ((_let_3803 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12752 x z) (ho_12752 y z)))) (= x y))))) (let ((_let_3804 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12748 v ii) (ite (= i ii) e (ho_12748 u ii)))))))))) (let ((_let_3805 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12748 x z) (ho_12748 y z)))) (= x y))))) (let ((_let_3806 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.nat)|) (e tptp.nat) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_14655 v ii) (ite (= i ii) e (ho_14655 u ii)))))))))) (let ((_let_3807 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.nat)|) (y |u_(-> tptp.product_prod_nat_int tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_14655 x z) (ho_14655 y z)))) (= x y))))) (let ((_let_3808 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_12801 v ii) (ite (= i ii) e (ho_12801 u ii)))))))))) (let ((_let_3809 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_12801 x z) (ho_12801 y z)))) (= x y))))) (let ((_let_3810 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12745 v ii) (ite (= i ii) e (ho_12745 u ii)))))))))) (let ((_let_3811 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12745 x z) (ho_12745 y z)))) (= x y))))) (let ((_let_3812 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12742 v ii) (ite (= i ii) e (ho_12742 u ii)))))))))) (let ((_let_3813 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12742 x z) (ho_12742 y z)))) (= x y))))) (let ((_let_3814 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_11014 v ii) (ite (= i ii) e (ho_11014 u ii)))))))))) (let ((_let_3815 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_11014 x z) (ho_11014 y z)))) (= x y))))) (let ((_let_3816 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12743 v ii) (ite (= i ii) e (ho_12743 u ii)))))))))) (let ((_let_3817 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12743 x z) (ho_12743 y z)))) (= x y))))) (let ((_let_3818 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_12739 v ii) (ite (= i ii) e (ho_12739 u ii)))))))))) (let ((_let_3819 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_12739 x z) (ho_12739 y z)))) (= x y))))) (let ((_let_3820 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_12740 v ii) (ite (= i ii) e (ho_12740 u ii)))))))))) (let ((_let_3821 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_12740 x z) (ho_12740 y z)))) (= x y))))) (let ((_let_3822 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12932 v ii) (ite (= i ii) e (ho_12932 u ii)))))))))) (let ((_let_3823 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12932 x z) (ho_12932 y z)))) (= x y))))) (let ((_let_3824 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12737 v ii) (ite (= i ii) e (ho_12737 u ii)))))))))) (let ((_let_3825 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12737 x z) (ho_12737 y z)))) (= x y))))) (let ((_let_3826 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat Bool)|)) (= (ho_13934 v ii) (ite (= i ii) e (ho_13934 u ii)))))))))) (let ((_let_3827 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.rat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat Bool)|)) (= (ho_13934 x z) (ho_13934 y z)))) (= x y))))) (let ((_let_3828 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (= (ho_12733 v ii) (ite (= i ii) e (ho_12733 u ii)))))))))) (let ((_let_3829 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (= (ho_12733 x z) (ho_12733 y z)))) (= x y))))) (let ((_let_3830 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (= (ho_12730 v ii) (ite (= i ii) e (ho_12730 u ii)))))))))) (let ((_let_3831 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (= (ho_12730 x z) (ho_12730 y z)))) (= x y))))) (let ((_let_3832 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (= (ho_12731 v ii) (ite (= i ii) e (ho_12731 u ii)))))))))) (let ((_let_3833 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (= (ho_12731 x z) (ho_12731 y z)))) (= x y))))) (let ((_let_3834 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13235 v ii) (ite (= i ii) e (ho_13235 u ii)))))))))) (let ((_let_3835 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13235 x z) (ho_13235 y z)))) (= x y))))) (let ((_let_3836 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12725 v ii) (ite (= i ii) e (ho_12725 u ii)))))))))) (let ((_let_3837 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12725 x z) (ho_12725 y z)))) (= x y))))) (let ((_let_3838 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|) (e tptp.int) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16076 v ii) (ite (= i ii) e (ho_16076 u ii)))))))))) (let ((_let_3839 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16076 x z) (ho_16076 y z)))) (= x y))))) (let ((_let_3840 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_5610 v ii) (ite (= i ii) e (ho_5610 u ii)))))))))) (let ((_let_3841 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_5610 x z) (ho_5610 y z)))) (= x y))))) (let ((_let_3842 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16075 v ii) (ite (= i ii) e (ho_16075 u ii)))))))))) (let ((_let_3843 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16075 x z) (ho_16075 y z)))) (= x y))))) (let ((_let_3844 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.int tptp.set_nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7393 v ii) (ite (= i ii) e (ho_7393 u ii)))))))))) (let ((_let_3845 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7393 x z) (ho_7393 y z)))) (= x y))))) (let ((_let_3846 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13232 v ii) (ite (= i ii) e (ho_13232 u ii)))))))))) (let ((_let_3847 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13232 x z) (ho_13232 y z)))) (= x y))))) (let ((_let_3848 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_12734 v ii) (ite (= i ii) e (ho_12734 u ii)))))))))) (let ((_let_3849 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_12734 x z) (ho_12734 y z)))) (= x y))))) (let ((_let_3850 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.ref_a tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12720 v ii) (ite (= i ii) e (ho_12720 u ii)))))))))) (let ((_let_3851 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12720 x z) (ho_12720 y z)))) (= x y))))) (let ((_let_3852 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_10199 v ii) (ite (= i ii) e (ho_10199 u ii)))))))))) (let ((_let_3853 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_10199 x z) (ho_10199 y z)))) (= x y))))) (let ((_let_3854 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12722 v ii) (ite (= i ii) e (ho_12722 u ii)))))))))) (let ((_let_3855 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12722 x z) (ho_12722 y z)))) (= x y))))) (let ((_let_3856 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5632 v ii) (ite (= i ii) e (ho_5632 u ii)))))))))) (let ((_let_3857 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5632 x z) (ho_5632 y z)))) (= x y))))) (let ((_let_3858 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_12717 v ii) (ite (= i ii) e (ho_12717 u ii)))))))))) (let ((_let_3859 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_12717 x z) (ho_12717 y z)))) (= x y))))) (let ((_let_3860 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_12718 v ii) (ite (= i ii) e (ho_12718 u ii)))))))))) (let ((_let_3861 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_12718 x z) (ho_12718 y z)))) (= x y))))) (let ((_let_3862 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12714 v ii) (ite (= i ii) e (ho_12714 u ii)))))))))) (let ((_let_3863 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12714 x z) (ho_12714 y z)))) (= x y))))) (let ((_let_3864 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12715 v ii) (ite (= i ii) e (ho_12715 u ii)))))))))) (let ((_let_3865 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12715 x z) (ho_12715 y z)))) (= x y))))) (let ((_let_3866 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12710 v ii) (ite (= i ii) e (ho_12710 u ii)))))))))) (let ((_let_3867 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12710 x z) (ho_12710 y z)))) (= x y))))) (let ((_let_3868 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|)) (= (ho_12387 v ii) (ite (= i ii) e (ho_12387 u ii)))))))))) (let ((_let_3869 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|)) (= (ho_12387 x z) (ho_12387 y z)))) (= x y))))) (let ((_let_3870 (forall ((u |u_(-> tptp.rat tptp.char)|) (e tptp.char) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.char)|)) (not (forall ((ii tptp.rat)) (= (ho_13375 v ii) (ite (= i ii) e (ho_13375 u ii)))))))))) (let ((_let_3871 (forall ((x |u_(-> tptp.rat tptp.char)|) (y |u_(-> tptp.rat tptp.char)|)) (or (not (forall ((z tptp.rat)) (= (ho_13375 x z) (ho_13375 y z)))) (= x y))))) (let ((_let_3872 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12711 v ii) (ite (= i ii) e (ho_12711 u ii)))))))))) (let ((_let_3873 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12711 x z) (ho_12711 y z)))) (= x y))))) (let ((_let_3874 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12712 v ii) (ite (= i ii) e (ho_12712 u ii)))))))))) (let ((_let_3875 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12712 x z) (ho_12712 y z)))) (= x y))))) (let ((_let_3876 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|) (e |u_(-> tptp.int tptp.rat Bool)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_13930 v ii) (ite (= i ii) e (ho_13930 u ii)))))))))) (let ((_let_3877 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_13930 x z) (ho_13930 y z)))) (= x y))))) (let ((_let_3878 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (= (ho_12707 v ii) (ite (= i ii) e (ho_12707 u ii)))))))))) (let ((_let_3879 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (= (ho_12707 x z) (ho_12707 y z)))) (= x y))))) (let ((_let_3880 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_9867 v ii) (ite (= i ii) e (ho_9867 u ii)))))))))) (let ((_let_3881 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_9867 x z) (ho_9867 y z)))) (= x y))))) (let ((_let_3882 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (= (ho_12704 v ii) (ite (= i ii) e (ho_12704 u ii)))))))))) (let ((_let_3883 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (= (ho_12704 x z) (ho_12704 y z)))) (= x y))))) (let ((_let_3884 (forall ((u |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4758 v ii) (ite (= i ii) e (ho_4758 u ii)))))))))) (let ((_let_3885 (forall ((x |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4758 x z) (ho_4758 y z)))) (= x y))))) (let ((_let_3886 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12702 v ii) (ite (= i ii) e (ho_12702 u ii)))))))))) (let ((_let_3887 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12702 x z) (ho_12702 y z)))) (= x y))))) (let ((_let_3888 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12698 v ii) (ite (= i ii) e (ho_12698 u ii)))))))))) (let ((_let_3889 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12698 x z) (ho_12698 y z)))) (= x y))))) (let ((_let_3890 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_14320 v ii) (ite (= i ii) e (ho_14320 u ii)))))))))) (let ((_let_3891 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_14320 x z) (ho_14320 y z)))) (= x y))))) (let ((_let_3892 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12699 v ii) (ite (= i ii) e (ho_12699 u ii)))))))))) (let ((_let_3893 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12699 x z) (ho_12699 y z)))) (= x y))))) (let ((_let_3894 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10776 v ii) (ite (= i ii) e (ho_10776 u ii)))))))))) (let ((_let_3895 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10776 x z) (ho_10776 y z)))) (= x y))))) (let ((_let_3896 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16074 v ii) (ite (= i ii) e (ho_16074 u ii)))))))))) (let ((_let_3897 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16074 x z) (ho_16074 y z)))) (= x y))))) (let ((_let_3898 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.ref_a tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12694 v ii) (ite (= i ii) e (ho_12694 u ii)))))))))) (let ((_let_3899 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12694 x z) (ho_12694 y z)))) (= x y))))) (let ((_let_3900 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (i |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_8514 v ii) (ite (= i ii) e (ho_8514 u ii)))))))))) (let ((_let_3901 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_8514 x z) (ho_8514 y z)))) (= x y))))) (let ((_let_3902 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12691 v ii) (ite (= i ii) e (ho_12691 u ii)))))))))) (let ((_let_3903 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12691 x z) (ho_12691 y z)))) (= x y))))) (let ((_let_3904 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13365 v ii) (ite (= i ii) e (ho_13365 u ii)))))))))) (let ((_let_3905 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13365 x z) (ho_13365 y z)))) (= x y))))) (let ((_let_3906 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12692 v ii) (ite (= i ii) e (ho_12692 u ii)))))))))) (let ((_let_3907 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12692 x z) (ho_12692 y z)))) (= x y))))) (let ((_let_3908 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12688 v ii) (ite (= i ii) e (ho_12688 u ii)))))))))) (let ((_let_3909 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12688 x z) (ho_12688 y z)))) (= x y))))) (let ((_let_3910 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12689 v ii) (ite (= i ii) e (ho_12689 u ii)))))))))) (let ((_let_3911 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12689 x z) (ho_12689 y z)))) (= x y))))) (let ((_let_3912 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|) (e |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12679 v ii) (ite (= i ii) e (ho_12679 u ii)))))))))) (let ((_let_3913 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12679 x z) (ho_12679 y z)))) (= x y))))) (let ((_let_3914 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (= (ho_14118 v ii) (ite (= i ii) e (ho_14118 u ii)))))))))) (let ((_let_3915 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (= (ho_14118 x z) (ho_14118 y z)))) (= x y))))) (let ((_let_3916 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|) (e |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_12675 v ii) (ite (= i ii) e (ho_12675 u ii)))))))))) (let ((_let_3917 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_12675 x z) (ho_12675 y z)))) (= x y))))) (let ((_let_3918 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|) (e |u_(-> tptp.set_set_nat tptp.set_nat)|) (i |u_(-> tptp.set_set_nat tptp.set_set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_set_nat)|)) (= (ho_15131 v ii) (ite (= i ii) e (ho_15131 u ii)))))))))) (let ((_let_3919 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_set_nat)|)) (= (ho_15131 x z) (ho_15131 y z)))) (= x y))))) (let ((_let_3920 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|) (e |u_(-> tptp.char tptp.int)|) (i |u_(-> tptp.char tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_13635 v ii) (ite (= i ii) e (ho_13635 u ii)))))))))) (let ((_let_3921 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_13635 x z) (ho_13635 y z)))) (= x y))))) (let ((_let_3922 (forall ((u |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|) (e |u_(-> tptp.produc2963269191615333738nteger tptp.num)|) (i |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|)) (not (forall ((ii |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|)) (= (ho_12676 v ii) (ite (= i ii) e (ho_12676 u ii)))))))))) (let ((_let_3923 (forall ((x |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|) (y |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)_ tptp.produc2963269191615333738nteger tptp.num)|)) (or (not (forall ((z |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|)) (= (ho_12676 x z) (ho_12676 y z)))) (= x y))))) (let ((_let_3924 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12668 v ii) (ite (= i ii) e (ho_12668 u ii)))))))))) (let ((_let_3925 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12668 x z) (ho_12668 y z)))) (= x y))))) (let ((_let_3926 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4973 v ii) (ite (= i ii) e (ho_4973 u ii)))))))))) (let ((_let_3927 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4973 x z) (ho_4973 y z)))) (= x y))))) (let ((_let_3928 (forall ((u |u_(-> tptp.set_in6154042108061588260nt_int _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i tptp.set_in6154042108061588260nt_int)) (not (forall ((v |u_(-> tptp.set_in6154042108061588260nt_int _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii tptp.set_in6154042108061588260nt_int)) (= (ho_14255 v ii) (ite (= i ii) e (ho_14255 u ii)))))))))) (let ((_let_3929 (forall ((x |u_(-> tptp.set_in6154042108061588260nt_int _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> tptp.set_in6154042108061588260nt_int _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z tptp.set_in6154042108061588260nt_int)) (= (ho_14255 x z) (ho_14255 y z)))) (= x y))))) (let ((_let_3930 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12670 v ii) (ite (= i ii) e (ho_12670 u ii)))))))))) (let ((_let_3931 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12670 x z) (ho_12670 y z)))) (= x y))))) (let ((_let_3932 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4964 v ii) (ite (= i ii) e (ho_4964 u ii)))))))))) (let ((_let_3933 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4964 x z) (ho_4964 y z)))) (= x y))))) (let ((_let_3934 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_13616 v ii) (ite (= i ii) e (ho_13616 u ii)))))))))) (let ((_let_3935 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_13616 x z) (ho_13616 y z)))) (= x y))))) (let ((_let_3936 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_12671 v ii) (ite (= i ii) e (ho_12671 u ii)))))))))) (let ((_let_3937 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_12671 x z) (ho_12671 y z)))) (= x y))))) (let ((_let_3938 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.int Bool)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (= (ho_12665 v ii) (ite (= i ii) e (ho_12665 u ii)))))))))) (let ((_let_3939 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (= (ho_12665 x z) (ho_12665 y z)))) (= x y))))) (let ((_let_3940 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_13626 v ii) (ite (= i ii) e (ho_13626 u ii)))))))))) (let ((_let_3941 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_13626 x z) (ho_13626 y z)))) (= x y))))) (let ((_let_3942 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.int Bool)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12666 v ii) (ite (= i ii) e (ho_12666 u ii)))))))))) (let ((_let_3943 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.int Bool)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.int Bool)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12666 x z) (ho_12666 y z)))) (= x y))))) (let ((_let_3944 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12660 v ii) (ite (= i ii) e (ho_12660 u ii)))))))))) (let ((_let_3945 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12660 x z) (ho_12660 y z)))) (= x y))))) (let ((_let_3946 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12661 v ii) (ite (= i ii) e (ho_12661 u ii)))))))))) (let ((_let_3947 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12661 x z) (ho_12661 y z)))) (= x y))))) (let ((_let_3948 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_nat)) (= (ho_13469 v ii) (ite (= i ii) e (ho_13469 u ii)))))))))) (let ((_let_3949 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_13469 x z) (ho_13469 y z)))) (= x y))))) (let ((_let_3950 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12662 v ii) (ite (= i ii) e (ho_12662 u ii)))))))))) (let ((_let_3951 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12662 x z) (ho_12662 y z)))) (= x y))))) (let ((_let_3952 (forall ((u |u_(-> tptp.set_Pr49084382684228242at_int tptp.set_Pr49084382684228242at_int Bool)|) (e |u_(-> tptp.set_Pr49084382684228242at_int Bool)|) (i tptp.set_Pr49084382684228242at_int)) (not (forall ((v |u_(-> tptp.set_Pr49084382684228242at_int tptp.set_Pr49084382684228242at_int Bool)|)) (not (forall ((ii tptp.set_Pr49084382684228242at_int)) (= (ho_12654 v ii) (ite (= i ii) e (ho_12654 u ii)))))))))) (let ((_let_3953 (forall ((x |u_(-> tptp.set_Pr49084382684228242at_int tptp.set_Pr49084382684228242at_int Bool)|) (y |u_(-> tptp.set_Pr49084382684228242at_int tptp.set_Pr49084382684228242at_int Bool)|)) (or (not (forall ((z tptp.set_Pr49084382684228242at_int)) (= (ho_12654 x z) (ho_12654 y z)))) (= x y))))) (let ((_let_3954 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12651 v ii) (ite (= i ii) e (ho_12651 u ii)))))))))) (let ((_let_3955 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12651 x z) (ho_12651 y z)))) (= x y))))) (let ((_let_3956 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12647 v ii) (ite (= i ii) e (ho_12647 u ii)))))))))) (let ((_let_3957 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12647 x z) (ho_12647 y z)))) (= x y))))) (let ((_let_3958 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.nat)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (= (ho_12648 v ii) (ite (= i ii) e (ho_12648 u ii)))))))))) (let ((_let_3959 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (= (ho_12648 x z) (ho_12648 y z)))) (= x y))))) (let ((_let_3960 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.int)|) (e tptp.int) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12645 v ii) (ite (= i ii) e (ho_12645 u ii)))))))))) (let ((_let_3961 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.int)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12645 x z) (ho_12645 y z)))) (= x y))))) (let ((_let_3962 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.nat)|) (e tptp.nat) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.nat)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12649 v ii) (ite (= i ii) e (ho_12649 u ii)))))))))) (let ((_let_3963 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.nat)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.nat)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12649 x z) (ho_12649 y z)))) (= x y))))) (let ((_let_3964 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num Bool)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num Bool)|) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num Bool)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_12643 v ii) (ite (= i ii) e (ho_12643 u ii)))))))))) (let ((_let_3965 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num Bool)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num Bool)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_12643 x z) (ho_12643 y z)))) (= x y))))) (let ((_let_3966 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7376 v ii) (ite (= i ii) e (ho_7376 u ii)))))))))) (let ((_let_3967 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7376 x z) (ho_7376 y z)))) (= x y))))) (let ((_let_3968 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat Bool)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat Bool)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_12640 v ii) (ite (= i ii) e (ho_12640 u ii)))))))))) (let ((_let_3969 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat Bool)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_12640 x z) (ho_12640 y z)))) (= x y))))) (let ((_let_3970 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12638 v ii) (ite (= i ii) e (ho_12638 u ii)))))))))) (let ((_let_3971 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12638 x z) (ho_12638 y z)))) (= x y))))) (let ((_let_3972 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12635 v ii) (ite (= i ii) e (ho_12635 u ii)))))))))) (let ((_let_3973 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12635 x z) (ho_12635 y z)))) (= x y))))) (let ((_let_3974 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12629 v ii) (ite (= i ii) e (ho_12629 u ii)))))))))) (let ((_let_3975 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12629 x z) (ho_12629 y z)))) (= x y))))) (let ((_let_3976 (forall ((u |u_(-> _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12630 v ii) (ite (= i ii) e (ho_12630 u ii)))))))))) (let ((_let_3977 (forall ((x |u_(-> _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12630 x z) (ho_12630 y z)))) (= x y))))) (let ((_let_3978 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12369 v ii) (ite (= i ii) e (ho_12369 u ii)))))))))) (let ((_let_3979 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12369 x z) (ho_12369 y z)))) (= x y))))) (let ((_let_3980 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_12626 v ii) (ite (= i ii) e (ho_12626 u ii)))))))))) (let ((_let_3981 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_12626 x z) (ho_12626 y z)))) (= x y))))) (let ((_let_3982 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (= (ho_12597 v ii) (ite (= i ii) e (ho_12597 u ii)))))))))) (let ((_let_3983 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (= (ho_12597 x z) (ho_12597 y z)))) (= x y))))) (let ((_let_3984 (forall ((u |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (= (ho_12055 v ii) (ite (= i ii) e (ho_12055 u ii)))))))))) (let ((_let_3985 (forall ((x |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (= (ho_12055 x z) (ho_12055 y z)))) (= x y))))) (let ((_let_3986 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7870 v ii) (ite (= i ii) e (ho_7870 u ii)))))))))) (let ((_let_3987 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7870 x z) (ho_7870 y z)))) (= x y))))) (let ((_let_3988 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7645 v ii) (ite (= i ii) e (ho_7645 u ii)))))))))) (let ((_let_3989 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7645 x z) (ho_7645 y z)))) (= x y))))) (let ((_let_3990 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14765 v ii) (ite (= i ii) e (ho_14765 u ii)))))))))) (let ((_let_3991 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14765 x z) (ho_14765 y z)))) (= x y))))) (let ((_let_3992 (forall ((u |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5023 v ii) (ite (= i ii) e (ho_5023 u ii)))))))))) (let ((_let_3993 (forall ((x |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5023 x z) (ho_5023 y z)))) (= x y))))) (let ((_let_3994 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (= (ho_12598 v ii) (ite (= i ii) e (ho_12598 u ii)))))))))) (let ((_let_3995 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (= (ho_12598 x z) (ho_12598 y z)))) (= x y))))) (let ((_let_3996 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14757 v ii) (ite (= i ii) e (ho_14757 u ii)))))))))) (let ((_let_3997 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14757 x z) (ho_14757 y z)))) (= x y))))) (let ((_let_3998 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12595 v ii) (ite (= i ii) e (ho_12595 u ii)))))))))) (let ((_let_3999 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12595 x z) (ho_12595 y z)))) (= x y))))) (let ((_let_4000 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_12622 v ii) (ite (= i ii) e (ho_12622 u ii)))))))))) (let ((_let_4001 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_12622 x z) (ho_12622 y z)))) (= x y))))) (let ((_let_4002 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12591 v ii) (ite (= i ii) e (ho_12591 u ii)))))))))) (let ((_let_4003 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12591 x z) (ho_12591 y z)))) (= x y))))) (let ((_let_4004 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_14701 v ii) (ite (= i ii) e (ho_14701 u ii)))))))))) (let ((_let_4005 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_14701 x z) (ho_14701 y z)))) (= x y))))) (let ((_let_4006 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12592 v ii) (ite (= i ii) e (ho_12592 u ii)))))))))) (let ((_let_4007 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12592 x z) (ho_12592 y z)))) (= x y))))) (let ((_let_4008 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13485 v ii) (ite (= i ii) e (ho_13485 u ii)))))))))) (let ((_let_4009 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13485 x z) (ho_13485 y z)))) (= x y))))) (let ((_let_4010 (forall ((u |u_(-> tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|) (e tptp.produc1319942482725812455at_nat) (i tptp.produc4041253808165279839at_nat)) (not (forall ((v |u_(-> tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii tptp.produc4041253808165279839at_nat)) (= (ho_12436 v ii) (ite (= i ii) e (ho_12436 u ii)))))))))) (let ((_let_4011 (forall ((x |u_(-> tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z tptp.produc4041253808165279839at_nat)) (= (ho_12436 x z) (ho_12436 y z)))) (= x y))))) (let ((_let_4012 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (= (ho_12588 v ii) (ite (= i ii) e (ho_12588 u ii)))))))))) (let ((_let_4013 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (= (ho_12588 x z) (ho_12588 y z)))) (= x y))))) (let ((_let_4014 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12585 v ii) (ite (= i ii) e (ho_12585 u ii)))))))))) (let ((_let_4015 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12585 x z) (ho_12585 y z)))) (= x y))))) (let ((_let_4016 (forall ((u |u_(-> tptp.rat tptp.produc6315701296850634900it_rat)|) (e tptp.produc6315701296850634900it_rat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.produc6315701296850634900it_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_7359 v ii) (ite (= i ii) e (ho_7359 u ii)))))))))) (let ((_let_4017 (forall ((x |u_(-> tptp.rat tptp.produc6315701296850634900it_rat)|) (y |u_(-> tptp.rat tptp.produc6315701296850634900it_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7359 x z) (ho_7359 y z)))) (= x y))))) (let ((_let_4018 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14793 v ii) (ite (= i ii) e (ho_14793 u ii)))))))))) (let ((_let_4019 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14793 x z) (ho_14793 y z)))) (= x y))))) (let ((_let_4020 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (e |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12586 v ii) (ite (= i ii) e (ho_12586 u ii)))))))))) (let ((_let_4021 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12586 x z) (ho_12586 y z)))) (= x y))))) (let ((_let_4022 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (e tptp.code_integer) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_16073 v ii) (ite (= i ii) e (ho_16073 u ii)))))))))) (let ((_let_4023 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_16073 x z) (ho_16073 y z)))) (= x y))))) (let ((_let_4024 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6998 v ii) (ite (= i ii) e (ho_6998 u ii)))))))))) (let ((_let_4025 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6998 x z) (ho_6998 y z)))) (= x y))))) (let ((_let_4026 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (= (ho_12589 v ii) (ite (= i ii) e (ho_12589 u ii)))))))))) (let ((_let_4027 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (= (ho_12589 x z) (ho_12589 y z)))) (= x y))))) (let ((_let_4028 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_set_int tptp.int Bool)|) (e |u_(-> tptp.set_set_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_9240 v ii) (ite (= i ii) e (ho_9240 u ii)))))))))) (let ((_let_4029 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_9240 x z) (ho_9240 y z)))) (= x y))))) (let ((_let_4030 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12582 v ii) (ite (= i ii) e (ho_12582 u ii)))))))))) (let ((_let_4031 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12582 x z) (ho_12582 y z)))) (= x y))))) (let ((_let_4032 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14812 v ii) (ite (= i ii) e (ho_14812 u ii)))))))))) (let ((_let_4033 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14812 x z) (ho_14812 y z)))) (= x y))))) (let ((_let_4034 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12583 v ii) (ite (= i ii) e (ho_12583 u ii)))))))))) (let ((_let_4035 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12583 x z) (ho_12583 y z)))) (= x y))))) (let ((_let_4036 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (e tptp.product_prod_nat_o) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12619 v ii) (ite (= i ii) e (ho_12619 u ii)))))))))) (let ((_let_4037 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12619 x z) (ho_12619 y z)))) (= x y))))) (let ((_let_4038 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5110 v ii) (ite (= i ii) e (ho_5110 u ii)))))))))) (let ((_let_4039 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5110 x z) (ho_5110 y z)))) (= x y))))) (let ((_let_4040 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12576 v ii) (ite (= i ii) e (ho_12576 u ii)))))))))) (let ((_let_4041 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12576 x z) (ho_12576 y z)))) (= x y))))) (let ((_let_4042 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7582 v ii) (ite (= i ii) e (ho_7582 u ii)))))))))) (let ((_let_4043 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7582 x z) (ho_7582 y z)))) (= x y))))) (let ((_let_4044 (forall ((u |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (e |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (i tptp.set_Pr1763845938948868674it_nat)) (not (forall ((v |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|)) (not (forall ((ii tptp.set_Pr1763845938948868674it_nat)) (= (ho_15185 v ii) (ite (= i ii) e (ho_15185 u ii)))))))))) (let ((_let_4045 (forall ((x |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|) (y |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat tptp.set_Pr1763845938948868674it_nat)|)) (or (not (forall ((z tptp.set_Pr1763845938948868674it_nat)) (= (ho_15185 x z) (ho_15185 y z)))) (= x y))))) (let ((_let_4046 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12577 v ii) (ite (= i ii) e (ho_12577 u ii)))))))))) (let ((_let_4047 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12577 x z) (ho_12577 y z)))) (= x y))))) (let ((_let_4048 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_12618 v ii) (ite (= i ii) e (ho_12618 u ii)))))))))) (let ((_let_4049 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_12618 x z) (ho_12618 y z)))) (= x y))))) (let ((_let_4050 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (= (ho_13127 v ii) (ite (= i ii) e (ho_13127 u ii)))))))))) (let ((_let_4051 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (= (ho_13127 x z) (ho_13127 y z)))) (= x y))))) (let ((_let_4052 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12573 v ii) (ite (= i ii) e (ho_12573 u ii)))))))))) (let ((_let_4053 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12573 x z) (ho_12573 y z)))) (= x y))))) (let ((_let_4054 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12574 v ii) (ite (= i ii) e (ho_12574 u ii)))))))))) (let ((_let_4055 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12574 x z) (ho_12574 y z)))) (= x y))))) (let ((_let_4056 (forall ((u |u_(-> Bool tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (e |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|)) (not (forall ((ii Bool)) (= (ho_16004 v ii) (ite (= i ii) e (ho_16004 u ii)))))))))) (let ((_let_4057 (forall ((x |u_(-> Bool tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (y |u_(-> Bool tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|)) (or (not (forall ((z Bool)) (= (ho_16004 x z) (ho_16004 y z)))) (= x y))))) (let ((_let_4058 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|) (e tptp.product_prod_nat_int) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12617 v ii) (ite (= i ii) e (ho_12617 u ii)))))))))) (let ((_let_4059 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12617 x z) (ho_12617 y z)))) (= x y))))) (let ((_let_4060 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12570 v ii) (ite (= i ii) e (ho_12570 u ii)))))))))) (let ((_let_4061 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12570 x z) (ho_12570 y z)))) (= x y))))) (let ((_let_4062 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12564 v ii) (ite (= i ii) e (ho_12564 u ii)))))))))) (let ((_let_4063 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12564 x z) (ho_12564 y z)))) (= x y))))) (let ((_let_4064 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12565 v ii) (ite (= i ii) e (ho_12565 u ii)))))))))) (let ((_let_4065 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12565 x z) (ho_12565 y z)))) (= x y))))) (let ((_let_4066 (forall ((u |u_(-> tptp.literal tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i tptp.literal)) (not (forall ((v |u_(-> tptp.literal tptp.heap_Heap_ref_a)|)) (not (forall ((ii tptp.literal)) (= (ho_12116 v ii) (ite (= i ii) e (ho_12116 u ii)))))))))) (let ((_let_4067 (forall ((x |u_(-> tptp.literal tptp.heap_Heap_ref_a)|) (y |u_(-> tptp.literal tptp.heap_Heap_ref_a)|)) (or (not (forall ((z tptp.literal)) (= (ho_12116 x z) (ho_12116 y z)))) (= x y))))) (let ((_let_4068 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12615 v ii) (ite (= i ii) e (ho_12615 u ii)))))))))) (let ((_let_4069 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12615 x z) (ho_12615 y z)))) (= x y))))) (let ((_let_4070 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num Bool)_ Bool)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_14754 v ii) (ite (= i ii) e (ho_14754 u ii)))))))))) (let ((_let_4071 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_14754 x z) (ho_14754 y z)))) (= x y))))) (let ((_let_4072 (forall ((u |u_(-> _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|) (e |u_(-> tptp.nat tptp.option_num)|) (i |u_(-> tptp.nat tptp.option_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.option_num)|)) (= (ho_5391 v ii) (ite (= i ii) e (ho_5391 u ii)))))))))) (let ((_let_4073 (forall ((x |u_(-> _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|) (y |u_(-> _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.option_num)|)) (= (ho_5391 x z) (ho_5391 y z)))) (= x y))))) (let ((_let_4074 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (= (ho_12568 v ii) (ite (= i ii) e (ho_12568 u ii)))))))))) (let ((_let_4075 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (= (ho_12568 x z) (ho_12568 y z)))) (= x y))))) (let ((_let_4076 (forall ((u |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.heap_Heap_ref_a)) (not (forall ((v |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.heap_Heap_ref_a)) (= (ho_13386 v ii) (ite (= i ii) e (ho_13386 u ii)))))))))) (let ((_let_4077 (forall ((x |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.heap_Heap_ref_a)) (= (ho_13386 x z) (ho_13386 y z)))) (= x y))))) (let ((_let_4078 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12562 v ii) (ite (= i ii) e (ho_12562 u ii)))))))))) (let ((_let_4079 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12562 x z) (ho_12562 y z)))) (= x y))))) (let ((_let_4080 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5671 v ii) (ite (= i ii) e (ho_5671 u ii)))))))))) (let ((_let_4081 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5671 x z) (ho_5671 y z)))) (= x y))))) (let ((_let_4082 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|) (e tptp.ref_a) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12010 v ii) (ite (= i ii) e (ho_12010 u ii)))))))))) (let ((_let_4083 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12010 x z) (ho_12010 y z)))) (= x y))))) (let ((_let_4084 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13490 v ii) (ite (= i ii) e (ho_13490 u ii)))))))))) (let ((_let_4085 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13490 x z) (ho_13490 y z)))) (= x y))))) (let ((_let_4086 (forall ((u |u_(-> tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.produc3438435131210021710_a_nat)) (not (forall ((v |u_(-> tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc3438435131210021710_a_nat)) (= (ho_12458 v ii) (ite (= i ii) e (ho_12458 u ii)))))))))) (let ((_let_4087 (forall ((x |u_(-> tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc3438435131210021710_a_nat)) (= (ho_12458 x z) (ho_12458 y z)))) (= x y))))) (let ((_let_4088 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_14362 v ii) (ite (= i ii) e (ho_14362 u ii)))))))))) (let ((_let_4089 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_14362 x z) (ho_14362 y z)))) (= x y))))) (let ((_let_4090 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_12614 v ii) (ite (= i ii) e (ho_12614 u ii)))))))))) (let ((_let_4091 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_12614 x z) (ho_12614 y z)))) (= x y))))) (let ((_let_4092 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|) (e tptp.set_Pr6671815714118170108t_unit) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_14891 v ii) (ite (= i ii) e (ho_14891 u ii)))))))))) (let ((_let_4093 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Pr6671815714118170108t_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_14891 x z) (ho_14891 y z)))) (= x y))))) (let ((_let_4094 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12558 v ii) (ite (= i ii) e (ho_12558 u ii)))))))))) (let ((_let_4095 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12558 x z) (ho_12558 y z)))) (= x y))))) (let ((_let_4096 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7587 v ii) (ite (= i ii) e (ho_7587 u ii)))))))))) (let ((_let_4097 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7587 x z) (ho_7587 y z)))) (= x y))))) (let ((_let_4098 (forall ((u |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (e |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (i tptp.set_Pr6671815714118170108t_unit)) (not (forall ((v |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|)) (not (forall ((ii tptp.set_Pr6671815714118170108t_unit)) (= (ho_15205 v ii) (ite (= i ii) e (ho_15205 u ii)))))))))) (let ((_let_4099 (forall ((x |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|) (y |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit tptp.set_Pr6671815714118170108t_unit)|)) (or (not (forall ((z tptp.set_Pr6671815714118170108t_unit)) (= (ho_15205 x z) (ho_15205 y z)))) (= x y))))) (let ((_let_4100 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12559 v ii) (ite (= i ii) e (ho_12559 u ii)))))))))) (let ((_let_4101 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12559 x z) (ho_12559 y z)))) (= x y))))) (let ((_let_4102 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (e tptp.product_prod_num_num) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12612 v ii) (ite (= i ii) e (ho_12612 u ii)))))))))) (let ((_let_4103 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12612 x z) (ho_12612 y z)))) (= x y))))) (let ((_let_4104 (forall ((u |u_(-> tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4757 v ii) (ite (= i ii) e (ho_4757 u ii)))))))))) (let ((_let_4105 (forall ((x |u_(-> tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4757 x z) (ho_4757 y z)))) (= x y))))) (let ((_let_4106 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14762 v ii) (ite (= i ii) e (ho_14762 u ii)))))))))) (let ((_let_4107 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14762 x z) (ho_14762 y z)))) (= x y))))) (let ((_let_4108 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_num_num)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (= (ho_12556 v ii) (ite (= i ii) e (ho_12556 u ii)))))))))) (let ((_let_4109 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (= (ho_12556 x z) (ho_12556 y z)))) (= x y))))) (let ((_let_4110 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_14635 v ii) (ite (= i ii) e (ho_14635 u ii)))))))))) (let ((_let_4111 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_14635 x z) (ho_14635 y z)))) (= x y))))) (let ((_let_4112 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12549 v ii) (ite (= i ii) e (ho_12549 u ii)))))))))) (let ((_let_4113 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12549 x z) (ho_12549 y z)))) (= x y))))) (let ((_let_4114 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_14759 v ii) (ite (= i ii) e (ho_14759 u ii)))))))))) (let ((_let_4115 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_14759 x z) (ho_14759 y z)))) (= x y))))) (let ((_let_4116 (forall ((u |u_(-> tptp.int tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_8882 v ii) (ite (= i ii) e (ho_8882 u ii)))))))))) (let ((_let_4117 (forall ((x |u_(-> tptp.int tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_8882 x z) (ho_8882 y z)))) (= x y))))) (let ((_let_4118 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_num_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12550 v ii) (ite (= i ii) e (ho_12550 u ii)))))))))) (let ((_let_4119 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12550 x z) (ho_12550 y z)))) (= x y))))) (let ((_let_4120 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_num_num)|) (e tptp.product_prod_num_num) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_num_num)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12611 v ii) (ite (= i ii) e (ho_12611 u ii)))))))))) (let ((_let_4121 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_num_num)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_num_num)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12611 x z) (ho_12611 y z)))) (= x y))))) (let ((_let_4122 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_6562 v ii) (ite (= i ii) e (ho_6562 u ii)))))))))) (let ((_let_4123 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_6562 x z) (ho_6562 y z)))) (= x y))))) (let ((_let_4124 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|) (e |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12543 v ii) (ite (= i ii) e (ho_12543 u ii)))))))))) (let ((_let_4125 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12543 x z) (ho_12543 y z)))) (= x y))))) (let ((_let_4126 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_o)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (= (ho_12547 v ii) (ite (= i ii) e (ho_12547 u ii)))))))))) (let ((_let_4127 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (= (ho_12547 x z) (ho_12547 y z)))) (= x y))))) (let ((_let_4128 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12540 v ii) (ite (= i ii) e (ho_12540 u ii)))))))))) (let ((_let_4129 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12540 x z) (ho_12540 y z)))) (= x y))))) (let ((_let_4130 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12541 v ii) (ite (= i ii) e (ho_12541 u ii)))))))))) (let ((_let_4131 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12541 x z) (ho_12541 y z)))) (= x y))))) (let ((_let_4132 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12537 v ii) (ite (= i ii) e (ho_12537 u ii)))))))))) (let ((_let_4133 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12537 x z) (ho_12537 y z)))) (= x y))))) (let ((_let_4134 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (= (ho_12534 v ii) (ite (= i ii) e (ho_12534 u ii)))))))))) (let ((_let_4135 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (= (ho_12534 x z) (ho_12534 y z)))) (= x y))))) (let ((_let_4136 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|) (e tptp.produc3629471303718939987t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12475 v ii) (ite (= i ii) e (ho_12475 u ii)))))))))) (let ((_let_4137 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12475 x z) (ho_12475 y z)))) (= x y))))) (let ((_let_4138 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12531 v ii) (ite (= i ii) e (ho_12531 u ii)))))))))) (let ((_let_4139 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12531 x z) (ho_12531 y z)))) (= x y))))) (let ((_let_4140 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12532 v ii) (ite (= i ii) e (ho_12532 u ii)))))))))) (let ((_let_4141 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12532 x z) (ho_12532 y z)))) (= x y))))) (let ((_let_4142 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5638 v ii) (ite (= i ii) e (ho_5638 u ii)))))))))) (let ((_let_4143 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5638 x z) (ho_5638 y z)))) (= x y))))) (let ((_let_4144 (forall ((u |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.product_prod_o_int)) (not (forall ((v |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.product_prod_o_int)) (= (ho_12607 v ii) (ite (= i ii) e (ho_12607 u ii)))))))))) (let ((_let_4145 (forall ((x |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|) (y |u_(-> tptp.product_prod_o_int tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.product_prod_o_int)) (= (ho_12607 x z) (ho_12607 y z)))) (= x y))))) (let ((_let_4146 (forall ((u |u_(-> tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.produc3629471303718939987t_unit)) (not (forall ((v |u_(-> tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.produc3629471303718939987t_unit)) (= (ho_12478 v ii) (ite (= i ii) e (ho_12478 u ii)))))))))) (let ((_let_4147 (forall ((x |u_(-> tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.produc3629471303718939987t_unit)) (= (ho_12478 x z) (ho_12478 y z)))) (= x y))))) (let ((_let_4148 (forall ((u |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr6671815714118170108t_unit)) (not (forall ((v |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr6671815714118170108t_unit)) (= (ho_14896 v ii) (ite (= i ii) e (ho_14896 u ii)))))))))) (let ((_let_4149 (forall ((x |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr6671815714118170108t_unit)) (= (ho_14896 x z) (ho_14896 y z)))) (= x y))))) (let ((_let_4150 (forall ((u |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> Bool tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.num Bool)|)) (= (ho_13140 v ii) (ite (= i ii) e (ho_13140 u ii)))))))))) (let ((_let_4151 (forall ((x |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.num Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.num Bool)|)) (= (ho_13140 x z) (ho_13140 y z)))) (= x y))))) (let ((_let_4152 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12528 v ii) (ite (= i ii) e (ho_12528 u ii)))))))))) (let ((_let_4153 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12528 x z) (ho_12528 y z)))) (= x y))))) (let ((_let_4154 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|) (e tptp.product_prod_o_int) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_12606 v ii) (ite (= i ii) e (ho_12606 u ii)))))))))) (let ((_let_4155 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_12606 x z) (ho_12606 y z)))) (= x y))))) (let ((_let_4156 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_7935 v ii) (ite (= i ii) e (ho_7935 u ii)))))))))) (let ((_let_4157 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_7935 x z) (ho_7935 y z)))) (= x y))))) (let ((_let_4158 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_14102 v ii) (ite (= i ii) e (ho_14102 u ii)))))))))) (let ((_let_4159 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_14102 x z) (ho_14102 y z)))) (= x y))))) (let ((_let_4160 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (= (ho_12525 v ii) (ite (= i ii) e (ho_12525 u ii)))))))))) (let ((_let_4161 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (= (ho_12525 x z) (ho_12525 y z)))) (= x y))))) (let ((_let_4162 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7736 v ii) (ite (= i ii) e (ho_7736 u ii)))))))))) (let ((_let_4163 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7736 x z) (ho_7736 y z)))) (= x y))))) (let ((_let_4164 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12522 v ii) (ite (= i ii) e (ho_12522 u ii)))))))))) (let ((_let_4165 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12522 x z) (ho_12522 y z)))) (= x y))))) (let ((_let_4166 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10467 v ii) (ite (= i ii) e (ho_10467 u ii)))))))))) (let ((_let_4167 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10467 x z) (ho_10467 y z)))) (= x y))))) (let ((_let_4168 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_12605 v ii) (ite (= i ii) e (ho_12605 u ii)))))))))) (let ((_let_4169 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (y |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_12605 x z) (ho_12605 y z)))) (= x y))))) (let ((_let_4170 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14723 v ii) (ite (= i ii) e (ho_14723 u ii)))))))))) (let ((_let_4171 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14723 x z) (ho_14723 y z)))) (= x y))))) (let ((_let_4172 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (= (ho_12526 v ii) (ite (= i ii) e (ho_12526 u ii)))))))))) (let ((_let_4173 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (= (ho_12526 x z) (ho_12526 y z)))) (= x y))))) (let ((_let_4174 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13137 v ii) (ite (= i ii) e (ho_13137 u ii)))))))))) (let ((_let_4175 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13137 x z) (ho_13137 y z)))) (= x y))))) (let ((_let_4176 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12519 v ii) (ite (= i ii) e (ho_12519 u ii)))))))))) (let ((_let_4177 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12519 x z) (ho_12519 y z)))) (= x y))))) (let ((_let_4178 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (e |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (i |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (= (ho_12516 v ii) (ite (= i ii) e (ho_12516 u ii)))))))))) (let ((_let_4179 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (= (ho_12516 x z) (ho_12516 y z)))) (= x y))))) (let ((_let_4180 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|) (e |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12514 v ii) (ite (= i ii) e (ho_12514 u ii)))))))))) (let ((_let_4181 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12514 x z) (ho_12514 y z)))) (= x y))))) (let ((_let_4182 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_5249 v ii) (ite (= i ii) e (ho_5249 u ii)))))))))) (let ((_let_4183 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_5249 x z) (ho_5249 y z)))) (= x y))))) (let ((_let_4184 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|) (e tptp.product_prod_o_num) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_12603 v ii) (ite (= i ii) e (ho_12603 u ii)))))))))) (let ((_let_4185 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|) (y |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_12603 x z) (ho_12603 y z)))) (= x y))))) (let ((_let_4186 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12510 v ii) (ite (= i ii) e (ho_12510 u ii)))))))))) (let ((_let_4187 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12510 x z) (ho_12510 y z)))) (= x y))))) (let ((_let_4188 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_12602 v ii) (ite (= i ii) e (ho_12602 u ii)))))))))) (let ((_let_4189 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_12602 x z) (ho_12602 y z)))) (= x y))))) (let ((_let_4190 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12507 v ii) (ite (= i ii) e (ho_12507 u ii)))))))))) (let ((_let_4191 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12507 x z) (ho_12507 y z)))) (= x y))))) (let ((_let_4192 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|) (e |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12502 v ii) (ite (= i ii) e (ho_12502 u ii)))))))))) (let ((_let_4193 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12502 x z) (ho_12502 y z)))) (= x y))))) (let ((_let_4194 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15730 v ii) (ite (= i ii) e (ho_15730 u ii)))))))))) (let ((_let_4195 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15730 x z) (ho_15730 y z)))) (= x y))))) (let ((_let_4196 (forall ((u |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|) (e tptp.product_prod_o_o) (i tptp.product_prod_o_o)) (not (forall ((v |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (not (forall ((ii tptp.product_prod_o_o)) (= (ho_12600 v ii) (ite (= i ii) e (ho_12600 u ii)))))))))) (let ((_let_4197 (forall ((x |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|) (y |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (or (not (forall ((z tptp.product_prod_o_o)) (= (ho_12600 x z) (ho_12600 y z)))) (= x y))))) (let ((_let_4198 (forall ((u |u_(-> tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_7764 v ii) (ite (= i ii) e (ho_7764 u ii)))))))))) (let ((_let_4199 (forall ((x |u_(-> tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7764 x z) (ho_7764 y z)))) (= x y))))) (let ((_let_4200 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (= (ho_12505 v ii) (ite (= i ii) e (ho_12505 u ii)))))))))) (let ((_let_4201 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (= (ho_12505 x z) (ho_12505 y z)))) (= x y))))) (let ((_let_4202 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (e tptp.product_prod_o_o) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12599 v ii) (ite (= i ii) e (ho_12599 u ii)))))))))) (let ((_let_4203 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12599 x z) (ho_12599 y z)))) (= x y))))) (let ((_let_4204 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7710 v ii) (ite (= i ii) e (ho_7710 u ii)))))))))) (let ((_let_4205 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7710 x z) (ho_7710 y z)))) (= x y))))) (let ((_let_4206 (forall ((u |u_(-> tptp.set_rat tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_rat Bool)|)) (not (forall ((ii tptp.set_rat)) (= (ho_12496 v ii) (ite (= i ii) e (ho_12496 u ii)))))))))) (let ((_let_4207 (forall ((x |u_(-> tptp.set_rat tptp.set_rat Bool)|) (y |u_(-> tptp.set_rat tptp.set_rat Bool)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_12496 x z) (ho_12496 y z)))) (= x y))))) (let ((_let_4208 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|) (e |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12486 v ii) (ite (= i ii) e (ho_12486 u ii)))))))))) (let ((_let_4209 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12486 x z) (ho_12486 y z)))) (= x y))))) (let ((_let_4210 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12949 v ii) (ite (= i ii) e (ho_12949 u ii)))))))))) (let ((_let_4211 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12949 x z) (ho_12949 y z)))) (= x y))))) (let ((_let_4212 (forall ((u |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.produc5066145461314735602t_unit)) (not (forall ((v |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc5066145461314735602t_unit)) (= (ho_12487 v ii) (ite (= i ii) e (ho_12487 u ii)))))))))) (let ((_let_4213 (forall ((x |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc5066145461314735602t_unit)) (= (ho_12487 x z) (ho_12487 y z)))) (= x y))))) (let ((_let_4214 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7711 v ii) (ite (= i ii) e (ho_7711 u ii)))))))))) (let ((_let_4215 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7711 x z) (ho_7711 y z)))) (= x y))))) (let ((_let_4216 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14782 v ii) (ite (= i ii) e (ho_14782 u ii)))))))))) (let ((_let_4217 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14782 x z) (ho_14782 y z)))) (= x y))))) (let ((_let_4218 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13615 v ii) (ite (= i ii) e (ho_13615 u ii)))))))))) (let ((_let_4219 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13615 x z) (ho_13615 y z)))) (= x y))))) (let ((_let_4220 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|) (e tptp.produc5066145461314735602t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12481 v ii) (ite (= i ii) e (ho_12481 u ii)))))))))) (let ((_let_4221 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12481 x z) (ho_12481 y z)))) (= x y))))) (let ((_let_4222 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12477 v ii) (ite (= i ii) e (ho_12477 u ii)))))))))) (let ((_let_4223 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3629471303718939987t_unit tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12477 x z) (ho_12477 y z)))) (= x y))))) (let ((_let_4224 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (e tptp.product_prod_nat_int) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_16072 v ii) (ite (= i ii) e (ho_16072 u ii)))))))))) (let ((_let_4225 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_16072 x z) (ho_16072 y z)))) (= x y))))) (let ((_let_4226 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_16071 v ii) (ite (= i ii) e (ho_16071 u ii)))))))))) (let ((_let_4227 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_16071 x z) (ho_16071 y z)))) (= x y))))) (let ((_let_4228 (forall ((u |u_(-> tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|) (e tptp.produc1319942482725812455at_nat) (i tptp.produc2296667697112141421t_unit)) (not (forall ((v |u_(-> tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii tptp.produc2296667697112141421t_unit)) (= (ho_12472 v ii) (ite (= i ii) e (ho_12472 u ii)))))))))) (let ((_let_4229 (forall ((x |u_(-> tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|) (y |u_(-> tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z tptp.produc2296667697112141421t_unit)) (= (ho_12472 x z) (ho_12472 y z)))) (= x y))))) (let ((_let_4230 (forall ((u |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|) (e tptp.produc723880050079548563nteger) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_16070 v ii) (ite (= i ii) e (ho_16070 u ii)))))))))) (let ((_let_4231 (forall ((x |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|) (y |u_(-> tptp.code_integer tptp.produc723880050079548563nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_16070 x z) (ho_16070 y z)))) (= x y))))) (let ((_let_4232 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|) (i |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12468 v ii) (ite (= i ii) e (ho_12468 u ii)))))))))) (let ((_let_4233 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12468 x z) (ho_12468 y z)))) (= x y))))) (let ((_let_4234 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|) (e |u_(-> tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|) (i |u_(-> tptp.ref_a tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12465 v ii) (ite (= i ii) e (ho_12465 u ii)))))))))) (let ((_let_4235 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc8483956148555600810_a_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12465 x z) (ho_12465 y z)))) (= x y))))) (let ((_let_4236 (forall ((u |u_(-> tptp.ref_a tptp.int)|) (e tptp.int) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.int)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12460 v ii) (ite (= i ii) e (ho_12460 u ii)))))))))) (let ((_let_4237 (forall ((x |u_(-> tptp.ref_a tptp.int)|) (y |u_(-> tptp.ref_a tptp.int)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12460 x z) (ho_12460 y z)))) (= x y))))) (let ((_let_4238 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|) (e tptp.int) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12459 v ii) (ite (= i ii) e (ho_12459 u ii)))))))))) (let ((_let_4239 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12459 x z) (ho_12459 y z)))) (= x y))))) (let ((_let_4240 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|) (e |u_(-> tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|) (i |u_(-> tptp.ref_a tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12451 v ii) (ite (= i ii) e (ho_12451 u ii)))))))))) (let ((_let_4241 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc4146679068158859416_a_num tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12451 x z) (ho_12451 y z)))) (= x y))))) (let ((_let_4242 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (e tptp.produc8126358835630522215t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16069 v ii) (ite (= i ii) e (ho_16069 u ii)))))))))) (let ((_let_4243 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16069 x z) (ho_16069 y z)))) (= x y))))) (let ((_let_4244 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (= (ho_12448 v ii) (ite (= i ii) e (ho_12448 u ii)))))))))) (let ((_let_4245 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (= (ho_12448 x z) (ho_12448 y z)))) (= x y))))) (let ((_let_4246 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|) (e tptp.produc4146679068158859416_a_num) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12449 v ii) (ite (= i ii) e (ho_12449 u ii)))))))))) (let ((_let_4247 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4146679068158859416_a_num)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12449 x z) (ho_12449 y z)))) (= x y))))) (let ((_let_4248 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_11185 v ii) (ite (= i ii) e (ho_11185 u ii)))))))))) (let ((_let_4249 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_11185 x z) (ho_11185 y z)))) (= x y))))) (let ((_let_4250 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|) (e tptp.num) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12445 v ii) (ite (= i ii) e (ho_12445 u ii)))))))))) (let ((_let_4251 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12445 x z) (ho_12445 y z)))) (= x y))))) (let ((_let_4252 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12443 v ii) (ite (= i ii) e (ho_12443 u ii)))))))))) (let ((_let_4253 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12443 x z) (ho_12443 y z)))) (= x y))))) (let ((_let_4254 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12440 v ii) (ite (= i ii) e (ho_12440 u ii)))))))))) (let ((_let_4255 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12440 x z) (ho_12440 y z)))) (= x y))))) (let ((_let_4256 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12604 v ii) (ite (= i ii) e (ho_12604 u ii)))))))))) (let ((_let_4257 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12604 x z) (ho_12604 y z)))) (= x y))))) (let ((_let_4258 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7735 v ii) (ite (= i ii) e (ho_7735 u ii)))))))))) (let ((_let_4259 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7735 x z) (ho_7735 y z)))) (= x y))))) (let ((_let_4260 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|) (e tptp.produc5561445381605014009at_nat) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12441 v ii) (ite (= i ii) e (ho_12441 u ii)))))))))) (let ((_let_4261 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5561445381605014009at_nat)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12441 x z) (ho_12441 y z)))) (= x y))))) (let ((_let_4262 (forall ((u |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12438 v ii) (ite (= i ii) e (ho_12438 u ii)))))))))) (let ((_let_4263 (forall ((x |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12438 x z) (ho_12438 y z)))) (= x y))))) (let ((_let_4264 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|) (e |u_(-> tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|) (i |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12435 v ii) (ite (= i ii) e (ho_12435 u ii)))))))))) (let ((_let_4265 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)_ tptp.produc4041253808165279839at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12435 x z) (ho_12435 y z)))) (= x y))))) (let ((_let_4266 (forall ((u |u_(-> tptp.nat tptp.product_prod_o_o)|) (e tptp.product_prod_o_o) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_o_o)|)) (not (forall ((ii tptp.nat)) (= (ho_16068 v ii) (ite (= i ii) e (ho_16068 u ii)))))))))) (let ((_let_4267 (forall ((x |u_(-> tptp.nat tptp.product_prod_o_o)|) (y |u_(-> tptp.nat tptp.product_prod_o_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_16068 x z) (ho_16068 y z)))) (= x y))))) (let ((_let_4268 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12432 v ii) (ite (= i ii) e (ho_12432 u ii)))))))))) (let ((_let_4269 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12432 x z) (ho_12432 y z)))) (= x y))))) (let ((_let_4270 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|) (e tptp.produc4041253808165279839at_nat) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12433 v ii) (ite (= i ii) e (ho_12433 u ii)))))))))) (let ((_let_4271 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc4041253808165279839at_nat)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12433 x z) (ho_12433 y z)))) (= x y))))) (let ((_let_4272 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13486 v ii) (ite (= i ii) e (ho_13486 u ii)))))))))) (let ((_let_4273 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13486 x z) (ho_13486 y z)))) (= x y))))) (let ((_let_4274 (forall ((u |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12430 v ii) (ite (= i ii) e (ho_12430 u ii)))))))))) (let ((_let_4275 (forall ((x |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12430 x z) (ho_12430 y z)))) (= x y))))) (let ((_let_4276 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|) (e tptp.set_Pr6292255179000445125nt_rat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15410 v ii) (ite (= i ii) e (ho_15410 u ii)))))))))) (let ((_let_4277 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|) (y |u_(-> tptp.set_nat tptp.set_Pr6292255179000445125nt_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15410 x z) (ho_15410 y z)))) (= x y))))) (let ((_let_4278 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12429 v ii) (ite (= i ii) e (ho_12429 u ii)))))))))) (let ((_let_4279 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12429 x z) (ho_12429 y z)))) (= x y))))) (let ((_let_4280 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (= (ho_12427 v ii) (ite (= i ii) e (ho_12427 u ii)))))))))) (let ((_let_4281 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (= (ho_12427 x z) (ho_12427 y z)))) (= x y))))) (let ((_let_4282 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14095 v ii) (ite (= i ii) e (ho_14095 u ii)))))))))) (let ((_let_4283 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14095 x z) (ho_14095 y z)))) (= x y))))) (let ((_let_4284 (forall ((u |u_(-> tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5697 v ii) (ite (= i ii) e (ho_5697 u ii)))))))))) (let ((_let_4285 (forall ((x |u_(-> tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5697 x z) (ho_5697 y z)))) (= x y))))) (let ((_let_4286 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13722 v ii) (ite (= i ii) e (ho_13722 u ii)))))))))) (let ((_let_4287 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13722 x z) (ho_13722 y z)))) (= x y))))) (let ((_let_4288 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_12428 v ii) (ite (= i ii) e (ho_12428 u ii)))))))))) (let ((_let_4289 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_12428 x z) (ho_12428 y z)))) (= x y))))) (let ((_let_4290 (forall ((u |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (= (ho_14117 v ii) (ite (= i ii) e (ho_14117 u ii)))))))))) (let ((_let_4291 (forall ((x |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (= (ho_14117 x z) (ho_14117 y z)))) (= x y))))) (let ((_let_4292 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (= (ho_12424 v ii) (ite (= i ii) e (ho_12424 u ii)))))))))) (let ((_let_4293 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (= (ho_12424 x z) (ho_12424 y z)))) (= x y))))) (let ((_let_4294 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_12425 v ii) (ite (= i ii) e (ho_12425 u ii)))))))))) (let ((_let_4295 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_12425 x z) (ho_12425 y z)))) (= x y))))) (let ((_let_4296 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7878 v ii) (ite (= i ii) e (ho_7878 u ii)))))))))) (let ((_let_4297 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7878 x z) (ho_7878 y z)))) (= x y))))) (let ((_let_4298 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|) (i |u_(-> tptp.ref_a tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12727 v ii) (ite (= i ii) e (ho_12727 u ii)))))))))) (let ((_let_4299 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|) (y |u_(-> _u_(-> tptp.ref_a tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12727 x z) (ho_12727 y z)))) (= x y))))) (let ((_let_4300 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (= (ho_12421 v ii) (ite (= i ii) e (ho_12421 u ii)))))))))) (let ((_let_4301 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (= (ho_12421 x z) (ho_12421 y z)))) (= x y))))) (let ((_let_4302 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_12422 v ii) (ite (= i ii) e (ho_12422 u ii)))))))))) (let ((_let_4303 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_12422 x z) (ho_12422 y z)))) (= x y))))) (let ((_let_4304 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_12419 v ii) (ite (= i ii) e (ho_12419 u ii)))))))))) (let ((_let_4305 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_12419 x z) (ho_12419 y z)))) (= x y))))) (let ((_let_4306 (forall ((u |u_(-> Bool tptp.set_nat)|) (e tptp.set_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_nat)|)) (not (forall ((ii Bool)) (= (ho_4556 v ii) (ite (= i ii) e (ho_4556 u ii)))))))))) (let ((_let_4307 (forall ((x |u_(-> Bool tptp.set_nat)|) (y |u_(-> Bool tptp.set_nat)|)) (or (not (forall ((z Bool)) (= (ho_4556 x z) (ho_4556 y z)))) (= x y))))) (let ((_let_4308 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (= (ho_12415 v ii) (ite (= i ii) e (ho_12415 u ii)))))))))) (let ((_let_4309 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (= (ho_12415 x z) (ho_12415 y z)))) (= x y))))) (let ((_let_4310 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7784 v ii) (ite (= i ii) e (ho_7784 u ii)))))))))) (let ((_let_4311 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7784 x z) (ho_7784 y z)))) (= x y))))) (let ((_let_4312 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7371 v ii) (ite (= i ii) e (ho_7371 u ii)))))))))) (let ((_let_4313 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7371 x z) (ho_7371 y z)))) (= x y))))) (let ((_let_4314 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.list_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_13671 v ii) (ite (= i ii) e (ho_13671 u ii)))))))))) (let ((_let_4315 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_13671 x z) (ho_13671 y z)))) (= x y))))) (let ((_let_4316 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7162 v ii) (ite (= i ii) e (ho_7162 u ii)))))))))) (let ((_let_4317 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7162 x z) (ho_7162 y z)))) (= x y))))) (let ((_let_4318 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_14453 v ii) (ite (= i ii) e (ho_14453 u ii)))))))))) (let ((_let_4319 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_14453 x z) (ho_14453 y z)))) (= x y))))) (let ((_let_4320 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.set_int)|) (e |u_(-> tptp.set_nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_4930 v ii) (ite (= i ii) e (ho_4930 u ii)))))))))) (let ((_let_4321 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_4930 x z) (ho_4930 y z)))) (= x y))))) (let ((_let_4322 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (= (ho_12412 v ii) (ite (= i ii) e (ho_12412 u ii)))))))))) (let ((_let_4323 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (= (ho_12412 x z) (ho_12412 y z)))) (= x y))))) (let ((_let_4324 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4992 v ii) (ite (= i ii) e (ho_4992 u ii)))))))))) (let ((_let_4325 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4992 x z) (ho_4992 y z)))) (= x y))))) (let ((_let_4326 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (= (ho_12409 v ii) (ite (= i ii) e (ho_12409 u ii)))))))))) (let ((_let_4327 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (= (ho_12409 x z) (ho_12409 y z)))) (= x y))))) (let ((_let_4328 (forall ((u |u_(-> tptp.set_li2168235667650531768at_nat Bool)|) (e Bool) (i tptp.set_li2168235667650531768at_nat)) (not (forall ((v |u_(-> tptp.set_li2168235667650531768at_nat Bool)|)) (not (forall ((ii tptp.set_li2168235667650531768at_nat)) (= (ho_13679 v ii) (ite (= i ii) e (ho_13679 u ii)))))))))) (let ((_let_4329 (forall ((x |u_(-> tptp.set_li2168235667650531768at_nat Bool)|) (y |u_(-> tptp.set_li2168235667650531768at_nat Bool)|)) (or (not (forall ((z tptp.set_li2168235667650531768at_nat)) (= (ho_13679 x z) (ho_13679 y z)))) (= x y))))) (let ((_let_4330 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (= (ho_12407 v ii) (ite (= i ii) e (ho_12407 u ii)))))))))) (let ((_let_4331 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (= (ho_12407 x z) (ho_12407 y z)))) (= x y))))) (let ((_let_4332 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5022 v ii) (ite (= i ii) e (ho_5022 u ii)))))))))) (let ((_let_4333 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5022 x z) (ho_5022 y z)))) (= x y))))) (let ((_let_4334 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12395 v ii) (ite (= i ii) e (ho_12395 u ii)))))))))) (let ((_let_4335 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12395 x z) (ho_12395 y z)))) (= x y))))) (let ((_let_4336 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12393 v ii) (ite (= i ii) e (ho_12393 u ii)))))))))) (let ((_let_4337 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12393 x z) (ho_12393 y z)))) (= x y))))) (let ((_let_4338 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (e |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12391 v ii) (ite (= i ii) e (ho_12391 u ii)))))))))) (let ((_let_4339 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12391 x z) (ho_12391 y z)))) (= x y))))) (let ((_let_4340 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (= (ho_12386 v ii) (ite (= i ii) e (ho_12386 u ii)))))))))) (let ((_let_4341 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)_ tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (= (ho_12386 x z) (ho_12386 y z)))) (= x y))))) (let ((_let_4342 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_12388 v ii) (ite (= i ii) e (ho_12388 u ii)))))))))) (let ((_let_4343 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_12388 x z) (ho_12388 y z)))) (= x y))))) (let ((_let_4344 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8256 v ii) (ite (= i ii) e (ho_8256 u ii)))))))))) (let ((_let_4345 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8256 x z) (ho_8256 y z)))) (= x y))))) (let ((_let_4346 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12380 v ii) (ite (= i ii) e (ho_12380 u ii)))))))))) (let ((_let_4347 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12380 x z) (ho_12380 y z)))) (= x y))))) (let ((_let_4348 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12382 v ii) (ite (= i ii) e (ho_12382 u ii)))))))))) (let ((_let_4349 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12382 x z) (ho_12382 y z)))) (= x y))))) (let ((_let_4350 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12376 v ii) (ite (= i ii) e (ho_12376 u ii)))))))))) (let ((_let_4351 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12376 x z) (ho_12376 y z)))) (= x y))))) (let ((_let_4352 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12377 v ii) (ite (= i ii) e (ho_12377 u ii)))))))))) (let ((_let_4353 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12377 x z) (ho_12377 y z)))) (= x y))))) (let ((_let_4354 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12378 v ii) (ite (= i ii) e (ho_12378 u ii)))))))))) (let ((_let_4355 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12378 x z) (ho_12378 y z)))) (= x y))))) (let ((_let_4356 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12373 v ii) (ite (= i ii) e (ho_12373 u ii)))))))))) (let ((_let_4357 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12373 x z) (ho_12373 y z)))) (= x y))))) (let ((_let_4358 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12374 v ii) (ite (= i ii) e (ho_12374 u ii)))))))))) (let ((_let_4359 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12374 x z) (ho_12374 y z)))) (= x y))))) (let ((_let_4360 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12368 v ii) (ite (= i ii) e (ho_12368 u ii)))))))))) (let ((_let_4361 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12368 x z) (ho_12368 y z)))) (= x y))))) (let ((_let_4362 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4652 v ii) (ite (= i ii) e (ho_4652 u ii)))))))))) (let ((_let_4363 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4652 x z) (ho_4652 y z)))) (= x y))))) (let ((_let_4364 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13107 v ii) (ite (= i ii) e (ho_13107 u ii)))))))))) (let ((_let_4365 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13107 x z) (ho_13107 y z)))) (= x y))))) (let ((_let_4366 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12370 v ii) (ite (= i ii) e (ho_12370 u ii)))))))))) (let ((_let_4367 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12370 x z) (ho_12370 y z)))) (= x y))))) (let ((_let_4368 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12360 v ii) (ite (= i ii) e (ho_12360 u ii)))))))))) (let ((_let_4369 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12360 x z) (ho_12360 y z)))) (= x y))))) (let ((_let_4370 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_12361 v ii) (ite (= i ii) e (ho_12361 u ii)))))))))) (let ((_let_4371 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_12361 x z) (ho_12361 y z)))) (= x y))))) (let ((_let_4372 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12356 v ii) (ite (= i ii) e (ho_12356 u ii)))))))))) (let ((_let_4373 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12356 x z) (ho_12356 y z)))) (= x y))))) (let ((_let_4374 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12358 v ii) (ite (= i ii) e (ho_12358 u ii)))))))))) (let ((_let_4375 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (y |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12358 x z) (ho_12358 y z)))) (= x y))))) (let ((_let_4376 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.ref_a tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12354 v ii) (ite (= i ii) e (ho_12354 u ii)))))))))) (let ((_let_4377 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12354 x z) (ho_12354 y z)))) (= x y))))) (let ((_let_4378 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_14321 v ii) (ite (= i ii) e (ho_14321 u ii)))))))))) (let ((_let_4379 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a Bool)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_14321 x z) (ho_14321 y z)))) (= x y))))) (let ((_let_4380 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (= (ho_6652 v ii) (ite (= i ii) e (ho_6652 u ii)))))))))) (let ((_let_4381 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (= (ho_6652 x z) (ho_6652 y z)))) (= x y))))) (let ((_let_4382 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ Bool tptp.num)|) (e |u_(-> Bool tptp.num)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ Bool tptp.num)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_7340 v ii) (ite (= i ii) e (ho_7340 u ii)))))))))) (let ((_let_4383 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ Bool tptp.num)|) (y |u_(-> _u_(-> tptp.num Bool)_ Bool tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_7340 x z) (ho_7340 y z)))) (= x y))))) (let ((_let_4384 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (e tptp.set_int) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_int)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_12352 v ii) (ite (= i ii) e (ho_12352 u ii)))))))))) (let ((_let_4385 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_int)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_12352 x z) (ho_12352 y z)))) (= x y))))) (let ((_let_4386 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit Bool)|) (e |u_(-> tptp.set_he8644174446132254637t_unit Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12345 v ii) (ite (= i ii) e (ho_12345 u ii)))))))))) (let ((_let_4387 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12345 x z) (ho_12345 y z)))) (= x y))))) (let ((_let_4388 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12341 v ii) (ite (= i ii) e (ho_12341 u ii)))))))))) (let ((_let_4389 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12341 x z) (ho_12341 y z)))) (= x y))))) (let ((_let_4390 (forall ((u |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_12338 v ii) (ite (= i ii) e (ho_12338 u ii)))))))))) (let ((_let_4391 (forall ((x |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_12338 x z) (ho_12338 y z)))) (= x y))))) (let ((_let_4392 (forall ((u |u_(-> tptp.ref_a tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.nat Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_14092 v ii) (ite (= i ii) e (ho_14092 u ii)))))))))) (let ((_let_4393 (forall ((x |u_(-> tptp.ref_a tptp.nat Bool)|) (y |u_(-> tptp.ref_a tptp.nat Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_14092 x z) (ho_14092 y z)))) (= x y))))) (let ((_let_4394 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14075 v ii) (ite (= i ii) e (ho_14075 u ii)))))))))) (let ((_let_4395 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_14075 x z) (ho_14075 y z)))) (= x y))))) (let ((_let_4396 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12335 v ii) (ite (= i ii) e (ho_12335 u ii)))))))))) (let ((_let_4397 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12335 x z) (ho_12335 y z)))) (= x y))))) (let ((_let_4398 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|) (e tptp.heap_e7401611519738050253t_unit) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12333 v ii) (ite (= i ii) e (ho_12333 u ii)))))))))) (let ((_let_4399 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12333 x z) (ho_12333 y z)))) (= x y))))) (let ((_let_4400 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12330 v ii) (ite (= i ii) e (ho_12330 u ii)))))))))) (let ((_let_4401 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12330 x z) (ho_12330 y z)))) (= x y))))) (let ((_let_4402 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12331 v ii) (ite (= i ii) e (ho_12331 u ii)))))))))) (let ((_let_4403 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12331 x z) (ho_12331 y z)))) (= x y))))) (let ((_let_4404 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_12327 v ii) (ite (= i ii) e (ho_12327 u ii)))))))))) (let ((_let_4405 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_12327 x z) (ho_12327 y z)))) (= x y))))) (let ((_let_4406 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12321 v ii) (ite (= i ii) e (ho_12321 u ii)))))))))) (let ((_let_4407 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12321 x z) (ho_12321 y z)))) (= x y))))) (let ((_let_4408 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_16067 v ii) (ite (= i ii) e (ho_16067 u ii)))))))))) (let ((_let_4409 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_16067 x z) (ho_16067 y z)))) (= x y))))) (let ((_let_4410 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5926 v ii) (ite (= i ii) e (ho_5926 u ii)))))))))) (let ((_let_4411 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5926 x z) (ho_5926 y z)))) (= x y))))) (let ((_let_4412 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12318 v ii) (ite (= i ii) e (ho_12318 u ii)))))))))) (let ((_let_4413 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12318 x z) (ho_12318 y z)))) (= x y))))) (let ((_let_4414 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12315 v ii) (ite (= i ii) e (ho_12315 u ii)))))))))) (let ((_let_4415 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12315 x z) (ho_12315 y z)))) (= x y))))) (let ((_let_4416 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (= (ho_16066 v ii) (ite (= i ii) e (ho_16066 u ii)))))))))) (let ((_let_4417 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (= (ho_16066 x z) (ho_16066 y z)))) (= x y))))) (let ((_let_4418 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12316 v ii) (ite (= i ii) e (ho_12316 u ii)))))))))) (let ((_let_4419 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12316 x z) (ho_12316 y z)))) (= x y))))) (let ((_let_4420 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_12312 v ii) (ite (= i ii) e (ho_12312 u ii)))))))))) (let ((_let_4421 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_12312 x z) (ho_12312 y z)))) (= x y))))) (let ((_let_4422 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_5578 v ii) (ite (= i ii) e (ho_5578 u ii)))))))))) (let ((_let_4423 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_5578 x z) (ho_5578 y z)))) (= x y))))) (let ((_let_4424 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_9671 v ii) (ite (= i ii) e (ho_9671 u ii)))))))))) (let ((_let_4425 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_9671 x z) (ho_9671 y z)))) (= x y))))) (let ((_let_4426 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_13337 v ii) (ite (= i ii) e (ho_13337 u ii)))))))))) (let ((_let_4427 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_13337 x z) (ho_13337 y z)))) (= x y))))) (let ((_let_4428 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|) (e |u_(-> tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_6117 v ii) (ite (= i ii) e (ho_6117 u ii)))))))))) (let ((_let_4429 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_6117 x z) (ho_6117 y z)))) (= x y))))) (let ((_let_4430 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_12305 v ii) (ite (= i ii) e (ho_12305 u ii)))))))))) (let ((_let_4431 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_12305 x z) (ho_12305 y z)))) (= x y))))) (let ((_let_4432 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat tptp.set_num)|) (e |u_(-> tptp.set_nat tptp.set_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat tptp.set_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12299 v ii) (ite (= i ii) e (ho_12299 u ii)))))))))) (let ((_let_4433 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat tptp.set_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_nat tptp.set_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12299 x z) (ho_12299 y z)))) (= x y))))) (let ((_let_4434 (forall ((u |u_(-> tptp.set_num tptp.num)|) (e tptp.num) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_12297 v ii) (ite (= i ii) e (ho_12297 u ii)))))))))) (let ((_let_4435 (forall ((x |u_(-> tptp.set_num tptp.num)|) (y |u_(-> tptp.set_num tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_12297 x z) (ho_12297 y z)))) (= x y))))) (let ((_let_4436 (forall ((u |u_(-> tptp.list_nat Bool)|) (e Bool) (i tptp.list_nat)) (not (forall ((v |u_(-> tptp.list_nat Bool)|)) (not (forall ((ii tptp.list_nat)) (= (ho_10429 v ii) (ite (= i ii) e (ho_10429 u ii)))))))))) (let ((_let_4437 (forall ((x |u_(-> tptp.list_nat Bool)|) (y |u_(-> tptp.list_nat Bool)|)) (or (not (forall ((z tptp.list_nat)) (= (ho_10429 x z) (ho_10429 y z)))) (= x y))))) (let ((_let_4438 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat tptp.set_int)|) (e |u_(-> tptp.set_rat tptp.set_int)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_12291 v ii) (ite (= i ii) e (ho_12291 u ii)))))))))) (let ((_let_4439 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat tptp.set_int)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.set_rat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_12291 x z) (ho_12291 y z)))) (= x y))))) (let ((_let_4440 (forall ((u |u_(-> tptp.set_rat tptp.set_int)|) (e tptp.set_int) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_int)|)) (not (forall ((ii tptp.set_rat)) (= (ho_12292 v ii) (ite (= i ii) e (ho_12292 u ii)))))))))) (let ((_let_4441 (forall ((x |u_(-> tptp.set_rat tptp.set_int)|) (y |u_(-> tptp.set_rat tptp.set_int)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_12292 x z) (ho_12292 y z)))) (= x y))))) (let ((_let_4442 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8226 v ii) (ite (= i ii) e (ho_8226 u ii)))))))))) (let ((_let_4443 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8226 x z) (ho_8226 y z)))) (= x y))))) (let ((_let_4444 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat tptp.set_nat)|) (e |u_(-> tptp.set_rat tptp.set_nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_12288 v ii) (ite (= i ii) e (ho_12288 u ii)))))))))) (let ((_let_4445 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_12288 x z) (ho_12288 y z)))) (= x y))))) (let ((_let_4446 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat tptp.set_rat)|) (e |u_(-> tptp.set_rat tptp.set_rat)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_12286 v ii) (ite (= i ii) e (ho_12286 u ii)))))))))) (let ((_let_4447 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_12286 x z) (ho_12286 y z)))) (= x y))))) (let ((_let_4448 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|) (e |u_(-> Bool tptp.product_prod_nat_nat)|) (i |u_(-> Bool tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_nat)|)) (= (ho_13242 v ii) (ite (= i ii) e (ho_13242 u ii)))))))))) (let ((_let_4449 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_nat)|)) (= (ho_13242 x z) (ho_13242 y z)))) (= x y))))) (let ((_let_4450 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7700 v ii) (ite (= i ii) e (ho_7700 u ii)))))))))) (let ((_let_4451 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7700 x z) (ho_7700 y z)))) (= x y))))) (let ((_let_4452 (forall ((u |u_(-> tptp.set_rat tptp.rat)|) (e tptp.rat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_12284 v ii) (ite (= i ii) e (ho_12284 u ii)))))))))) (let ((_let_4453 (forall ((x |u_(-> tptp.set_rat tptp.rat)|) (y |u_(-> tptp.set_rat tptp.rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_12284 x z) (ho_12284 y z)))) (= x y))))) (let ((_let_4454 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_nat tptp.set_int)|) (e |u_(-> tptp.set_nat tptp.set_int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15558 v ii) (ite (= i ii) e (ho_15558 u ii)))))))))) (let ((_let_4455 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15558 x z) (ho_15558 y z)))) (= x y))))) (let ((_let_4456 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (= (ho_12282 v ii) (ite (= i ii) e (ho_12282 u ii)))))))))) (let ((_let_4457 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (= (ho_12282 x z) (ho_12282 y z)))) (= x y))))) (let ((_let_4458 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12278 v ii) (ite (= i ii) e (ho_12278 u ii)))))))))) (let ((_let_4459 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12278 x z) (ho_12278 y z)))) (= x y))))) (let ((_let_4460 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_num tptp.set_int)|) (e |u_(-> tptp.set_num tptp.set_int)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_15563 v ii) (ite (= i ii) e (ho_15563 u ii)))))))))) (let ((_let_4461 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_num tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_15563 x z) (ho_15563 y z)))) (= x y))))) (let ((_let_4462 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.num Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.num)|)) (= (ho_13999 v ii) (ite (= i ii) e (ho_13999 u ii)))))))))) (let ((_let_4463 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.num)|)) (= (ho_13999 x z) (ho_13999 y z)))) (= x y))))) (let ((_let_4464 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12276 v ii) (ite (= i ii) e (ho_12276 u ii)))))))))) (let ((_let_4465 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12276 x z) (ho_12276 y z)))) (= x y))))) (let ((_let_4466 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_num)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (= (ho_12517 v ii) (ite (= i ii) e (ho_12517 u ii)))))))))) (let ((_let_4467 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (= (ho_12517 x z) (ho_12517 y z)))) (= x y))))) (let ((_let_4468 (forall ((u |u_(-> tptp.heap_Heap_ref_a _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|) (e |u_(-> _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|) (i tptp.heap_Heap_ref_a)) (not (forall ((v |u_(-> tptp.heap_Heap_ref_a _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|)) (not (forall ((ii tptp.heap_Heap_ref_a)) (= (ho_12274 v ii) (ite (= i ii) e (ho_12274 u ii)))))))))) (let ((_let_4469 (forall ((x |u_(-> tptp.heap_Heap_ref_a _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|) (y |u_(-> tptp.heap_Heap_ref_a _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|)) (or (not (forall ((z tptp.heap_Heap_ref_a)) (= (ho_12274 x z) (ho_12274 y z)))) (= x y))))) (let ((_let_4470 (forall ((u |u_(-> tptp.produc526117512892780850t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (e |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (i tptp.produc526117512892780850t_unit)) (not (forall ((v |u_(-> tptp.produc526117512892780850t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|)) (not (forall ((ii tptp.produc526117512892780850t_unit)) (= (ho_15178 v ii) (ite (= i ii) e (ho_15178 u ii)))))))))) (let ((_let_4471 (forall ((x |u_(-> tptp.produc526117512892780850t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|) (y |u_(-> tptp.produc526117512892780850t_unit tptp.set_Pr4334478416066269672t_unit tptp.set_Pr4334478416066269672t_unit)|)) (or (not (forall ((z tptp.produc526117512892780850t_unit)) (= (ho_15178 x z) (ho_15178 y z)))) (= x y))))) (let ((_let_4472 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|)) (= (ho_12275 v ii) (ite (= i ii) e (ho_12275 u ii)))))))))) (let ((_let_4473 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_Heap_ref_a)_ tptp.heap_Heap_ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|)) (= (ho_12275 x z) (ho_12275 y z)))) (= x y))))) (let ((_let_4474 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_9789 v ii) (ite (= i ii) e (ho_9789 u ii)))))))))) (let ((_let_4475 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_9789 x z) (ho_9789 y z)))) (= x y))))) (let ((_let_4476 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12264 v ii) (ite (= i ii) e (ho_12264 u ii)))))))))) (let ((_let_4477 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12264 x z) (ho_12264 y z)))) (= x y))))) (let ((_let_4478 (forall ((u |u_(-> tptp.produc2963269191615333738nteger tptp.set_Pr8415741480598773322nteger Bool)|) (e |u_(-> tptp.set_Pr8415741480598773322nteger Bool)|) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger tptp.set_Pr8415741480598773322nteger Bool)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_12261 v ii) (ite (= i ii) e (ho_12261 u ii)))))))))) (let ((_let_4479 (forall ((x |u_(-> tptp.produc2963269191615333738nteger tptp.set_Pr8415741480598773322nteger Bool)|) (y |u_(-> tptp.produc2963269191615333738nteger tptp.set_Pr8415741480598773322nteger Bool)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_12261 x z) (ho_12261 y z)))) (= x y))))) (let ((_let_4480 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.set_Pr49084382684228242at_int Bool)|) (e |u_(-> tptp.set_Pr49084382684228242at_int Bool)|) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.set_Pr49084382684228242at_int Bool)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12256 v ii) (ite (= i ii) e (ho_12256 u ii)))))))))) (let ((_let_4481 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.set_Pr49084382684228242at_int Bool)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.set_Pr49084382684228242at_int Bool)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12256 x z) (ho_12256 y z)))) (= x y))))) (let ((_let_4482 (forall ((u |u_(-> tptp.set_o Bool tptp.char Bool)|) (e |u_(-> Bool tptp.char Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.char Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7229 v ii) (ite (= i ii) e (ho_7229 u ii)))))))))) (let ((_let_4483 (forall ((x |u_(-> tptp.set_o Bool tptp.char Bool)|) (y |u_(-> tptp.set_o Bool tptp.char Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7229 x z) (ho_7229 y z)))) (= x y))))) (let ((_let_4484 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12251 v ii) (ite (= i ii) e (ho_12251 u ii)))))))))) (let ((_let_4485 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12251 x z) (ho_12251 y z)))) (= x y))))) (let ((_let_4486 (forall ((u |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|) (e |u_(-> tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|) (i |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (= (ho_13394 v ii) (ite (= i ii) e (ho_13394 u ii)))))))))) (let ((_let_4487 (forall ((x |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> _u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)_ tptp.set_Pr3309569728657787619r_char tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (= (ho_13394 x z) (ho_13394 y z)))) (= x y))))) (let ((_let_4488 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|) (e |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7346 v ii) (ite (= i ii) e (ho_7346 u ii)))))))))) (let ((_let_4489 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7346 x z) (ho_7346 y z)))) (= x y))))) (let ((_let_4490 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12252 v ii) (ite (= i ii) e (ho_12252 u ii)))))))))) (let ((_let_4491 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12252 x z) (ho_12252 y z)))) (= x y))))) (let ((_let_4492 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_8649 v ii) (ite (= i ii) e (ho_8649 u ii)))))))))) (let ((_let_4493 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_8649 x z) (ho_8649 y z)))) (= x y))))) (let ((_let_4494 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12538 v ii) (ite (= i ii) e (ho_12538 u ii)))))))))) (let ((_let_4495 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12538 x z) (ho_12538 y z)))) (= x y))))) (let ((_let_4496 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12248 v ii) (ite (= i ii) e (ho_12248 u ii)))))))))) (let ((_let_4497 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12248 x z) (ho_12248 y z)))) (= x y))))) (let ((_let_4498 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12249 v ii) (ite (= i ii) e (ho_12249 u ii)))))))))) (let ((_let_4499 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12249 x z) (ho_12249 y z)))) (= x y))))) (let ((_let_4500 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12246 v ii) (ite (= i ii) e (ho_12246 u ii)))))))))) (let ((_let_4501 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12246 x z) (ho_12246 y z)))) (= x y))))) (let ((_let_4502 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|) (e tptp.set_Pr7995236796853374141at_int) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14445 v ii) (ite (= i ii) e (ho_14445 u ii)))))))))) (let ((_let_4503 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14445 x z) (ho_14445 y z)))) (= x y))))) (let ((_let_4504 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int tptp.set_o)|) (e |u_(-> tptp.set_int tptp.set_o)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_11172 v ii) (ite (= i ii) e (ho_11172 u ii)))))))))) (let ((_let_4505 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int tptp.set_o)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_11172 x z) (ho_11172 y z)))) (= x y))))) (let ((_let_4506 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|) (e |u_(-> tptp.int tptp.code_integer tptp.int)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12242 v ii) (ite (= i ii) e (ho_12242 u ii)))))))))) (let ((_let_4507 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12242 x z) (ho_12242 y z)))) (= x y))))) (let ((_let_4508 (forall ((u |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (e tptp.set_set_Product_unit) (i tptp.set_set_Product_unit)) (not (forall ((v |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_set_Product_unit)) (= (ho_15146 v ii) (ite (= i ii) e (ho_15146 u ii)))))))))) (let ((_let_4509 (forall ((x |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_set_Product_unit tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_set_Product_unit)) (= (ho_15146 x z) (ho_15146 y z)))) (= x y))))) (let ((_let_4510 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (= (ho_12231 v ii) (ite (= i ii) e (ho_12231 u ii)))))))))) (let ((_let_4511 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (= (ho_12231 x z) (ho_12231 y z)))) (= x y))))) (let ((_let_4512 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12232 v ii) (ite (= i ii) e (ho_12232 u ii)))))))))) (let ((_let_4513 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12232 x z) (ho_12232 y z)))) (= x y))))) (let ((_let_4514 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_12229 v ii) (ite (= i ii) e (ho_12229 u ii)))))))))) (let ((_let_4515 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_12229 x z) (ho_12229 y z)))) (= x y))))) (let ((_let_4516 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7385 v ii) (ite (= i ii) e (ho_7385 u ii)))))))))) (let ((_let_4517 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7385 x z) (ho_7385 y z)))) (= x y))))) (let ((_let_4518 (forall ((u |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.set_Pr3280342998896498603um_nat)) (not (forall ((v |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr3280342998896498603um_nat)) (= (ho_12225 v ii) (ite (= i ii) e (ho_12225 u ii)))))))))) (let ((_let_4519 (forall ((x |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr3280342998896498603um_nat)) (= (ho_12225 x z) (ho_12225 y z)))) (= x y))))) (let ((_let_4520 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (i |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_12222 v ii) (ite (= i ii) e (ho_12222 u ii)))))))))) (let ((_let_4521 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_12222 x z) (ho_12222 y z)))) (= x y))))) (let ((_let_4522 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.set_Pr3280342998896498603um_nat Bool)|) (e |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.set_Pr3280342998896498603um_nat Bool)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_12219 v ii) (ite (= i ii) e (ho_12219 u ii)))))))))) (let ((_let_4523 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.set_Pr3280342998896498603um_nat Bool)|) (y |u_(-> tptp.product_prod_num_nat tptp.set_Pr3280342998896498603um_nat Bool)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_12219 x z) (ho_12219 y z)))) (= x y))))) (let ((_let_4524 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|) (e tptp.set_Pr3280342998896498603um_nat) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_12217 v ii) (ite (= i ii) e (ho_12217 u ii)))))))))) (let ((_let_4525 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_12217 x z) (ho_12217 y z)))) (= x y))))) (let ((_let_4526 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12918 v ii) (ite (= i ii) e (ho_12918 u ii)))))))))) (let ((_let_4527 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12918 x z) (ho_12918 y z)))) (= x y))))) (let ((_let_4528 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.heap_Heap_ref_a)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (= (ho_12214 v ii) (ite (= i ii) e (ho_12214 u ii)))))))))) (let ((_let_4529 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.heap_Heap_ref_a)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.heap_Heap_ref_a)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (= (ho_12214 x z) (ho_12214 y z)))) (= x y))))) (let ((_let_4530 (forall ((u |u_(-> tptp.set_Pr8415741480598773322nteger _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (i tptp.set_Pr8415741480598773322nteger)) (not (forall ((v |u_(-> tptp.set_Pr8415741480598773322nteger _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (not (forall ((ii tptp.set_Pr8415741480598773322nteger)) (= (ho_12208 v ii) (ite (= i ii) e (ho_12208 u ii)))))))))) (let ((_let_4531 (forall ((x |u_(-> tptp.set_Pr8415741480598773322nteger _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (y |u_(-> tptp.set_Pr8415741480598773322nteger _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (or (not (forall ((z tptp.set_Pr8415741480598773322nteger)) (= (ho_12208 x z) (ho_12208 y z)))) (= x y))))) (let ((_let_4532 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|) (e |u_(-> tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_6112 v ii) (ite (= i ii) e (ho_6112 u ii)))))))))) (let ((_let_4533 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_6112 x z) (ho_6112 y z)))) (= x y))))) (let ((_let_4534 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger Bool)|) (e |u_(-> tptp.produc2963269191615333738nteger Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12204 v ii) (ite (= i ii) e (ho_12204 u ii)))))))))) (let ((_let_4535 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12204 x z) (ho_12204 y z)))) (= x y))))) (let ((_let_4536 (forall ((u |u_(-> tptp.produc2963269191615333738nteger tptp.int)|) (e tptp.int) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_12203 v ii) (ite (= i ii) e (ho_12203 u ii)))))))))) (let ((_let_4537 (forall ((x |u_(-> tptp.produc2963269191615333738nteger tptp.int)|) (y |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_12203 x z) (ho_12203 y z)))) (= x y))))) (let ((_let_4538 (forall ((u |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (i |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (= (ho_12211 v ii) (ite (= i ii) e (ho_12211 u ii)))))))))) (let ((_let_4539 (forall ((x |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (= (ho_12211 x z) (ho_12211 y z)))) (= x y))))) (let ((_let_4540 (forall ((u |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_12271 v ii) (ite (= i ii) e (ho_12271 u ii)))))))))) (let ((_let_4541 (forall ((x |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (y |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_12271 x z) (ho_12271 y z)))) (= x y))))) (let ((_let_4542 (forall ((u |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (e Bool) (i |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (= (ho_12212 v ii) (ite (= i ii) e (ho_12212 u ii)))))))))) (let ((_let_4543 (forall ((x |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (= (ho_12212 x z) (ho_12212 y z)))) (= x y))))) (let ((_let_4544 (forall ((u |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6414 v ii) (ite (= i ii) e (ho_6414 u ii)))))))))) (let ((_let_4545 (forall ((x |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (y |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6414 x z) (ho_6414 y z)))) (= x y))))) (let ((_let_4546 (forall ((u |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (e tptp.produc2963269191615333738nteger) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_12259 v ii) (ite (= i ii) e (ho_12259 u ii)))))))))) (let ((_let_4547 (forall ((x |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (y |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_12259 x z) (ho_12259 y z)))) (= x y))))) (let ((_let_4548 (forall ((u |u_(-> tptp.set_Pr49084382684228242at_int _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (i tptp.set_Pr49084382684228242at_int)) (not (forall ((v |u_(-> tptp.set_Pr49084382684228242at_int _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (not (forall ((ii tptp.set_Pr49084382684228242at_int)) (= (ho_12191 v ii) (ite (= i ii) e (ho_12191 u ii)))))))))) (let ((_let_4549 (forall ((x |u_(-> tptp.set_Pr49084382684228242at_int _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (y |u_(-> tptp.set_Pr49084382684228242at_int _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (or (not (forall ((z tptp.set_Pr49084382684228242at_int)) (= (ho_12191 x z) (ho_12191 y z)))) (= x y))))) (let ((_let_4550 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int Bool)_ tptp.set_Pr49084382684228242at_int)|) (e tptp.set_Pr49084382684228242at_int) (i |u_(-> tptp.produc4196048018000912732at_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int Bool)_ tptp.set_Pr49084382684228242at_int)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int Bool)|)) (= (ho_12189 v ii) (ite (= i ii) e (ho_12189 u ii)))))))))) (let ((_let_4551 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int Bool)_ tptp.set_Pr49084382684228242at_int)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int Bool)_ tptp.set_Pr49084382684228242at_int)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int Bool)|)) (= (ho_12189 x z) (ho_12189 y z)))) (= x y))))) (let ((_let_4552 (forall ((u |u_(-> tptp.produc1219242969750017639nt_int Bool)|) (e Bool) (i tptp.produc1219242969750017639nt_int)) (not (forall ((v |u_(-> tptp.produc1219242969750017639nt_int Bool)|)) (not (forall ((ii tptp.produc1219242969750017639nt_int)) (= (ho_16065 v ii) (ite (= i ii) e (ho_16065 u ii)))))))))) (let ((_let_4553 (forall ((x |u_(-> tptp.produc1219242969750017639nt_int Bool)|) (y |u_(-> tptp.produc1219242969750017639nt_int Bool)|)) (or (not (forall ((z tptp.produc1219242969750017639nt_int)) (= (ho_16065 x z) (ho_16065 y z)))) (= x y))))) (let ((_let_4554 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (= (ho_12192 v ii) (ite (= i ii) e (ho_12192 u ii)))))))))) (let ((_let_4555 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (= (ho_12192 x z) (ho_12192 y z)))) (= x y))))) (let ((_let_4556 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12186 v ii) (ite (= i ii) e (ho_12186 u ii)))))))))) (let ((_let_4557 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12186 x z) (ho_12186 y z)))) (= x y))))) (let ((_let_4558 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7817 v ii) (ite (= i ii) e (ho_7817 u ii)))))))))) (let ((_let_4559 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7817 x z) (ho_7817 y z)))) (= x y))))) (let ((_let_4560 (forall ((u |u_(-> _u_(-> tptp.produc1522404539988722607at_nat Bool)_ tptp.set_Pr4155430604743465615at_nat)|) (e tptp.set_Pr4155430604743465615at_nat) (i |u_(-> tptp.produc1522404539988722607at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1522404539988722607at_nat Bool)_ tptp.set_Pr4155430604743465615at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1522404539988722607at_nat Bool)|)) (= (ho_14618 v ii) (ite (= i ii) e (ho_14618 u ii)))))))))) (let ((_let_4561 (forall ((x |u_(-> _u_(-> tptp.produc1522404539988722607at_nat Bool)_ tptp.set_Pr4155430604743465615at_nat)|) (y |u_(-> _u_(-> tptp.produc1522404539988722607at_nat Bool)_ tptp.set_Pr4155430604743465615at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1522404539988722607at_nat Bool)|)) (= (ho_14618 x z) (ho_14618 y z)))) (= x y))))) (let ((_let_4562 (forall ((u |u_(-> tptp.produc4196048018000912732at_int Bool)|) (e Bool) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int Bool)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_16064 v ii) (ite (= i ii) e (ho_16064 u ii)))))))))) (let ((_let_4563 (forall ((x |u_(-> tptp.produc4196048018000912732at_int Bool)|) (y |u_(-> tptp.produc4196048018000912732at_int Bool)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_16064 x z) (ho_16064 y z)))) (= x y))))) (let ((_let_4564 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12184 v ii) (ite (= i ii) e (ho_12184 u ii)))))))))) (let ((_let_4565 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12184 x z) (ho_12184 y z)))) (= x y))))) (let ((_let_4566 (forall ((u |u_(-> tptp.produc8373899037510109440at_nat Bool)|) (e Bool) (i tptp.produc8373899037510109440at_nat)) (not (forall ((v |u_(-> tptp.produc8373899037510109440at_nat Bool)|)) (not (forall ((ii tptp.produc8373899037510109440at_nat)) (= (ho_16063 v ii) (ite (= i ii) e (ho_16063 u ii)))))))))) (let ((_let_4567 (forall ((x |u_(-> tptp.produc8373899037510109440at_nat Bool)|) (y |u_(-> tptp.produc8373899037510109440at_nat Bool)|)) (or (not (forall ((z tptp.produc8373899037510109440at_nat)) (= (ho_16063 x z) (ho_16063 y z)))) (= x y))))) (let ((_let_4568 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (e Bool) (i |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (= (ho_12195 v ii) (ite (= i ii) e (ho_12195 u ii)))))))))) (let ((_let_4569 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (= (ho_12195 x z) (ho_12195 y z)))) (= x y))))) (let ((_let_4570 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12180 v ii) (ite (= i ii) e (ho_12180 u ii)))))))))) (let ((_let_4571 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12180 x z) (ho_12180 y z)))) (= x y))))) (let ((_let_4572 (forall ((u |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12178 v ii) (ite (= i ii) e (ho_12178 u ii)))))))))) (let ((_let_4573 (forall ((x |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|) (y |u_(-> tptp.ref_a tptp.heap_Heap_ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12178 x z) (ho_12178 y z)))) (= x y))))) (let ((_let_4574 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13861 v ii) (ite (= i ii) e (ho_13861 u ii)))))))))) (let ((_let_4575 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13861 x z) (ho_13861 y z)))) (= x y))))) (let ((_let_4576 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit Bool)|) (e Bool) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit Bool)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_12176 v ii) (ite (= i ii) e (ho_12176 u ii)))))))))) (let ((_let_4577 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit Bool)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_12176 x z) (ho_12176 y z)))) (= x y))))) (let ((_let_4578 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4503 v ii) (ite (= i ii) e (ho_4503 u ii)))))))))) (let ((_let_4579 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4503 x z) (ho_4503 y z)))) (= x y))))) (let ((_let_4580 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.set_Pr1133966238863718811t_unit)|) (e tptp.set_Pr1133966238863718811t_unit) (i |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (= (ho_12173 v ii) (ite (= i ii) e (ho_12173 u ii)))))))))) (let ((_let_4581 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit Bool)_ tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (= (ho_12173 x z) (ho_12173 y z)))) (= x y))))) (let ((_let_4582 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12169 v ii) (ite (= i ii) e (ho_12169 u ii)))))))))) (let ((_let_4583 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12169 x z) (ho_12169 y z)))) (= x y))))) (let ((_let_4584 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12170 v ii) (ite (= i ii) e (ho_12170 u ii)))))))))) (let ((_let_4585 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12170 x z) (ho_12170 y z)))) (= x y))))) (let ((_let_4586 (forall ((u |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_12166 v ii) (ite (= i ii) e (ho_12166 u ii)))))))))) (let ((_let_4587 (forall ((x |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_12166 x z) (ho_12166 y z)))) (= x y))))) (let ((_let_4588 (forall ((u |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.num)) (= (ho_12167 v ii) (ite (= i ii) e (ho_12167 u ii)))))))))) (let ((_let_4589 (forall ((x |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.num tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.num)) (= (ho_12167 x z) (ho_12167 y z)))) (= x y))))) (let ((_let_4590 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5819 v ii) (ite (= i ii) e (ho_5819 u ii)))))))))) (let ((_let_4591 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5819 x z) (ho_5819 y z)))) (= x y))))) (let ((_let_4592 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.set_int)_ tptp.product_prod_int_int tptp.set_int)|) (e |u_(-> tptp.product_prod_int_int tptp.set_int)|) (i |u_(-> tptp.int tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.set_int)_ tptp.product_prod_int_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.set_int)|)) (= (ho_12164 v ii) (ite (= i ii) e (ho_12164 u ii)))))))))) (let ((_let_4593 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.set_int)_ tptp.product_prod_int_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.set_int)_ tptp.product_prod_int_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.set_int)|)) (= (ho_12164 x z) (ho_12164 y z)))) (= x y))))) (let ((_let_4594 (forall ((u |u_(-> tptp.int tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.set_nat)|)) (not (forall ((ii tptp.int)) (= (ho_12159 v ii) (ite (= i ii) e (ho_12159 u ii)))))))))) (let ((_let_4595 (forall ((x |u_(-> tptp.int tptp.int tptp.set_nat)|) (y |u_(-> tptp.int tptp.int tptp.set_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_12159 x z) (ho_12159 y z)))) (= x y))))) (let ((_let_4596 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5774 v ii) (ite (= i ii) e (ho_5774 u ii)))))))))) (let ((_let_4597 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5774 x z) (ho_5774 y z)))) (= x y))))) (let ((_let_4598 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.set_o)_ tptp.product_prod_int_int tptp.set_o)|) (e |u_(-> tptp.product_prod_int_int tptp.set_o)|) (i |u_(-> tptp.int tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.set_o)_ tptp.product_prod_int_int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.set_o)|)) (= (ho_12157 v ii) (ite (= i ii) e (ho_12157 u ii)))))))))) (let ((_let_4599 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.set_o)_ tptp.product_prod_int_int tptp.set_o)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.set_o)_ tptp.product_prod_int_int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.set_o)|)) (= (ho_12157 x z) (ho_12157 y z)))) (= x y))))) (let ((_let_4600 (forall ((u |u_(-> tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (e |u_(-> tptp.int tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.int tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15385 v ii) (ite (= i ii) e (ho_15385 u ii)))))))))) (let ((_let_4601 (forall ((x |u_(-> tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.int tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15385 x z) (ho_15385 y z)))) (= x y))))) (let ((_let_4602 (forall ((u |u_(-> tptp.nat tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.set_int)|)) (not (forall ((ii tptp.nat)) (= (ho_12151 v ii) (ite (= i ii) e (ho_12151 u ii)))))))))) (let ((_let_4603 (forall ((x |u_(-> tptp.nat tptp.nat tptp.set_int)|) (y |u_(-> tptp.nat tptp.nat tptp.set_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_12151 x z) (ho_12151 y z)))) (= x y))))) (let ((_let_4604 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.set_nat)|)) (= (ho_12150 v ii) (ite (= i ii) e (ho_12150 u ii)))))))))) (let ((_let_4605 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.set_nat)|)) (= (ho_12150 x z) (ho_12150 y z)))) (= x y))))) (let ((_let_4606 (forall ((u |u_(-> tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|)) (not (forall ((ii tptp.int)) (= (ho_15384 v ii) (ite (= i ii) e (ho_15384 u ii)))))))))) (let ((_let_4607 (forall ((x |u_(-> tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|) (y |u_(-> tptp.int tptp.set_Product_unit tptp.int tptp.set_Product_unit)|)) (or (not (forall ((z tptp.int)) (= (ho_15384 x z) (ho_15384 y z)))) (= x y))))) (let ((_let_4608 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8389 v ii) (ite (= i ii) e (ho_8389 u ii)))))))))) (let ((_let_4609 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8389 x z) (ho_8389 y z)))) (= x y))))) (let ((_let_4610 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_o)_ tptp.product_prod_nat_nat tptp.set_o)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_o)|) (i |u_(-> tptp.nat tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_o)_ tptp.product_prod_nat_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.set_o)|)) (= (ho_12148 v ii) (ite (= i ii) e (ho_12148 u ii)))))))))) (let ((_let_4611 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_o)_ tptp.product_prod_nat_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_o)_ tptp.product_prod_nat_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.set_o)|)) (= (ho_12148 x z) (ho_12148 y z)))) (= x y))))) (let ((_let_4612 (forall ((u |u_(-> tptp.nat tptp.nat tptp.set_o)|) (e |u_(-> tptp.nat tptp.set_o)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.set_o)|)) (not (forall ((ii tptp.nat)) (= (ho_12146 v ii) (ite (= i ii) e (ho_12146 u ii)))))))))) (let ((_let_4613 (forall ((x |u_(-> tptp.nat tptp.nat tptp.set_o)|) (y |u_(-> tptp.nat tptp.nat tptp.set_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_12146 x z) (ho_12146 y z)))) (= x y))))) (let ((_let_4614 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.set_int)_ tptp.product_prod_nat_num tptp.set_int)|) (e |u_(-> tptp.product_prod_nat_num tptp.set_int)|) (i |u_(-> tptp.nat tptp.num tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.set_int)_ tptp.product_prod_nat_num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.set_int)|)) (= (ho_12144 v ii) (ite (= i ii) e (ho_12144 u ii)))))))))) (let ((_let_4615 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.set_int)_ tptp.product_prod_nat_num tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.set_int)_ tptp.product_prod_nat_num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.set_int)|)) (= (ho_12144 x z) (ho_12144 y z)))) (= x y))))) (let ((_let_4616 (forall ((u |u_(-> tptp.num tptp.set_int)|) (e tptp.set_int) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_int)|)) (not (forall ((ii tptp.num)) (= (ho_12142 v ii) (ite (= i ii) e (ho_12142 u ii)))))))))) (let ((_let_4617 (forall ((x |u_(-> tptp.num tptp.set_int)|) (y |u_(-> tptp.num tptp.set_int)|)) (or (not (forall ((z tptp.num)) (= (ho_12142 x z) (ho_12142 y z)))) (= x y))))) (let ((_let_4618 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.set_nat)_ tptp.product_prod_nat_num tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_num tptp.set_nat)|) (i |u_(-> tptp.nat tptp.num tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.set_nat)_ tptp.product_prod_nat_num tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.set_nat)|)) (= (ho_12139 v ii) (ite (= i ii) e (ho_12139 u ii)))))))))) (let ((_let_4619 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.set_nat)_ tptp.product_prod_nat_num tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.set_nat)_ tptp.product_prod_nat_num tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.set_nat)|)) (= (ho_12139 x z) (ho_12139 y z)))) (= x y))))) (let ((_let_4620 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_nat)|) (e tptp.set_nat) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_nat)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12140 v ii) (ite (= i ii) e (ho_12140 u ii)))))))))) (let ((_let_4621 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_nat)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_nat)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12140 x z) (ho_12140 y z)))) (= x y))))) (let ((_let_4622 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7778 v ii) (ite (= i ii) e (ho_7778 u ii)))))))))) (let ((_let_4623 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7778 x z) (ho_7778 y z)))) (= x y))))) (let ((_let_4624 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.set_o)_ tptp.product_prod_nat_num tptp.set_o)|) (e |u_(-> tptp.product_prod_nat_num tptp.set_o)|) (i |u_(-> tptp.nat tptp.num tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.set_o)_ tptp.product_prod_nat_num tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.set_o)|)) (= (ho_12135 v ii) (ite (= i ii) e (ho_12135 u ii)))))))))) (let ((_let_4625 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.set_o)_ tptp.product_prod_nat_num tptp.set_o)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.set_o)_ tptp.product_prod_nat_num tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.set_o)|)) (= (ho_12135 x z) (ho_12135 y z)))) (= x y))))) (let ((_let_4626 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_o)|) (e tptp.set_o) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_o)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12136 v ii) (ite (= i ii) e (ho_12136 u ii)))))))))) (let ((_let_4627 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_o)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_o)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12136 x z) (ho_12136 y z)))) (= x y))))) (let ((_let_4628 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_14261 v ii) (ite (= i ii) e (ho_14261 u ii)))))))))) (let ((_let_4629 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_14261 x z) (ho_14261 y z)))) (= x y))))) (let ((_let_4630 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_13167 v ii) (ite (= i ii) e (ho_13167 u ii)))))))))) (let ((_let_4631 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_13167 x z) (ho_13167 y z)))) (= x y))))) (let ((_let_4632 (forall ((u |u_(-> tptp.num tptp.set_o)|) (e tptp.set_o) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_o)|)) (not (forall ((ii tptp.num)) (= (ho_12133 v ii) (ite (= i ii) e (ho_12133 u ii)))))))))) (let ((_let_4633 (forall ((x |u_(-> tptp.num tptp.set_o)|) (y |u_(-> tptp.num tptp.set_o)|)) (or (not (forall ((z tptp.num)) (= (ho_12133 x z) (ho_12133 y z)))) (= x y))))) (let ((_let_4634 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_12131 v ii) (ite (= i ii) e (ho_12131 u ii)))))))))) (let ((_let_4635 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_12131 x z) (ho_12131 y z)))) (= x y))))) (let ((_let_4636 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i |u_(-> tptp.product_prod_nat_num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_12129 v ii) (ite (= i ii) e (ho_12129 u ii)))))))))) (let ((_let_4637 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_12129 x z) (ho_12129 y z)))) (= x y))))) (let ((_let_4638 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_12127 v ii) (ite (= i ii) e (ho_12127 u ii)))))))))) (let ((_let_4639 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_12127 x z) (ho_12127 y z)))) (= x y))))) (let ((_let_4640 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_12125 v ii) (ite (= i ii) e (ho_12125 u ii)))))))))) (let ((_let_4641 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_12125 x z) (ho_12125 y z)))) (= x y))))) (let ((_let_4642 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_12114 v ii) (ite (= i ii) e (ho_12114 u ii)))))))))) (let ((_let_4643 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_12114 x z) (ho_12114 y z)))) (= x y))))) (let ((_let_4644 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_13052 v ii) (ite (= i ii) e (ho_13052 u ii)))))))))) (let ((_let_4645 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_13052 x z) (ho_13052 y z)))) (= x y))))) (let ((_let_4646 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12113 v ii) (ite (= i ii) e (ho_12113 u ii)))))))))) (let ((_let_4647 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12113 x z) (ho_12113 y z)))) (= x y))))) (let ((_let_4648 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (e tptp.set_int) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_int)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_13830 v ii) (ite (= i ii) e (ho_13830 u ii)))))))))) (let ((_let_4649 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_int)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_int)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_13830 x z) (ho_13830 y z)))) (= x y))))) (let ((_let_4650 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|) (e tptp.nat) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12112 v ii) (ite (= i ii) e (ho_12112 u ii)))))))))) (let ((_let_4651 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12112 x z) (ho_12112 y z)))) (= x y))))) (let ((_let_4652 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_12108 v ii) (ite (= i ii) e (ho_12108 u ii)))))))))) (let ((_let_4653 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_12108 x z) (ho_12108 y z)))) (= x y))))) (let ((_let_4654 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_13520 v ii) (ite (= i ii) e (ho_13520 u ii)))))))))) (let ((_let_4655 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_13520 x z) (ho_13520 y z)))) (= x y))))) (let ((_let_4656 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4626 v ii) (ite (= i ii) e (ho_4626 u ii)))))))))) (let ((_let_4657 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4626 x z) (ho_4626 y z)))) (= x y))))) (let ((_let_4658 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12109 v ii) (ite (= i ii) e (ho_12109 u ii)))))))))) (let ((_let_4659 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_12109 x z) (ho_12109 y z)))) (= x y))))) (let ((_let_4660 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.num)|) (e tptp.num) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12106 v ii) (ite (= i ii) e (ho_12106 u ii)))))))))) (let ((_let_4661 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.num)|) (y |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12106 x z) (ho_12106 y z)))) (= x y))))) (let ((_let_4662 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_12773 v ii) (ite (= i ii) e (ho_12773 u ii)))))))))) (let ((_let_4663 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_12773 x z) (ho_12773 y z)))) (= x y))))) (let ((_let_4664 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_12100 v ii) (ite (= i ii) e (ho_12100 u ii)))))))))) (let ((_let_4665 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_12100 x z) (ho_12100 y z)))) (= x y))))) (let ((_let_4666 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10176 v ii) (ite (= i ii) e (ho_10176 u ii)))))))))) (let ((_let_4667 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10176 x z) (ho_10176 y z)))) (= x y))))) (let ((_let_4668 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (e |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13398 v ii) (ite (= i ii) e (ho_13398 u ii)))))))))) (let ((_let_4669 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13398 x z) (ho_13398 y z)))) (= x y))))) (let ((_let_4670 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12101 v ii) (ite (= i ii) e (ho_12101 u ii)))))))))) (let ((_let_4671 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12101 x z) (ho_12101 y z)))) (= x y))))) (let ((_let_4672 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12102 v ii) (ite (= i ii) e (ho_12102 u ii)))))))))) (let ((_let_4673 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12102 x z) (ho_12102 y z)))) (= x y))))) (let ((_let_4674 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_o)) (= (ho_12096 v ii) (ite (= i ii) e (ho_12096 u ii)))))))))) (let ((_let_4675 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_o)) (= (ho_12096 x z) (ho_12096 y z)))) (= x y))))) (let ((_let_4676 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_15057 v ii) (ite (= i ii) e (ho_15057 u ii)))))))))) (let ((_let_4677 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_15057 x z) (ho_15057 y z)))) (= x y))))) (let ((_let_4678 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_12097 v ii) (ite (= i ii) e (ho_12097 u ii)))))))))) (let ((_let_4679 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_12097 x z) (ho_12097 y z)))) (= x y))))) (let ((_let_4680 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat Bool)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat Bool)|) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat Bool)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_15053 v ii) (ite (= i ii) e (ho_15053 u ii)))))))))) (let ((_let_4681 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat Bool)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_15053 x z) (ho_15053 y z)))) (= x y))))) (let ((_let_4682 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13019 v ii) (ite (= i ii) e (ho_13019 u ii)))))))))) (let ((_let_4683 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13019 x z) (ho_13019 y z)))) (= x y))))) (let ((_let_4684 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_12098 v ii) (ite (= i ii) e (ho_12098 u ii)))))))))) (let ((_let_4685 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_12098 x z) (ho_12098 y z)))) (= x y))))) (let ((_let_4686 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_12092 v ii) (ite (= i ii) e (ho_12092 u ii)))))))))) (let ((_let_4687 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_12092 x z) (ho_12092 y z)))) (= x y))))) (let ((_let_4688 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12093 v ii) (ite (= i ii) e (ho_12093 u ii)))))))))) (let ((_let_4689 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12093 x z) (ho_12093 y z)))) (= x y))))) (let ((_let_4690 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12094 v ii) (ite (= i ii) e (ho_12094 u ii)))))))))) (let ((_let_4691 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12094 x z) (ho_12094 y z)))) (= x y))))) (let ((_let_4692 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_12089 v ii) (ite (= i ii) e (ho_12089 u ii)))))))))) (let ((_let_4693 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_12089 x z) (ho_12089 y z)))) (= x y))))) (let ((_let_4694 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12090 v ii) (ite (= i ii) e (ho_12090 u ii)))))))))) (let ((_let_4695 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12090 x z) (ho_12090 y z)))) (= x y))))) (let ((_let_4696 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_12779 v ii) (ite (= i ii) e (ho_12779 u ii)))))))))) (let ((_let_4697 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_12779 x z) (ho_12779 y z)))) (= x y))))) (let ((_let_4698 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_int)) (= (ho_12081 v ii) (ite (= i ii) e (ho_12081 u ii)))))))))) (let ((_let_4699 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_int)) (= (ho_12081 x z) (ho_12081 y z)))) (= x y))))) (let ((_let_4700 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_16062 v ii) (ite (= i ii) e (ho_16062 u ii)))))))))) (let ((_let_4701 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_16062 x z) (ho_16062 y z)))) (= x y))))) (let ((_let_4702 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12082 v ii) (ite (= i ii) e (ho_12082 u ii)))))))))) (let ((_let_4703 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12082 x z) (ho_12082 y z)))) (= x y))))) (let ((_let_4704 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12083 v ii) (ite (= i ii) e (ho_12083 u ii)))))))))) (let ((_let_4705 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12083 x z) (ho_12083 y z)))) (= x y))))) (let ((_let_4706 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_nat)) (= (ho_12077 v ii) (ite (= i ii) e (ho_12077 u ii)))))))))) (let ((_let_4707 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_12077 x z) (ho_12077 y z)))) (= x y))))) (let ((_let_4708 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12078 v ii) (ite (= i ii) e (ho_12078 u ii)))))))))) (let ((_let_4709 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12078 x z) (ho_12078 y z)))) (= x y))))) (let ((_let_4710 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_12079 v ii) (ite (= i ii) e (ho_12079 u ii)))))))))) (let ((_let_4711 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_12079 x z) (ho_12079 y z)))) (= x y))))) (let ((_let_4712 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_o)) (= (ho_12073 v ii) (ite (= i ii) e (ho_12073 u ii)))))))))) (let ((_let_4713 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_o)) (= (ho_12073 x z) (ho_12073 y z)))) (= x y))))) (let ((_let_4714 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10179 v ii) (ite (= i ii) e (ho_10179 u ii)))))))))) (let ((_let_4715 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10179 x z) (ho_10179 y z)))) (= x y))))) (let ((_let_4716 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_12074 v ii) (ite (= i ii) e (ho_12074 u ii)))))))))) (let ((_let_4717 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_12074 x z) (ho_12074 y z)))) (= x y))))) (let ((_let_4718 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12520 v ii) (ite (= i ii) e (ho_12520 u ii)))))))))) (let ((_let_4719 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12520 x z) (ho_12520 y z)))) (= x y))))) (let ((_let_4720 (forall ((u |u_(-> Bool tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (e |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((ii Bool)) (= (ho_12069 v ii) (ite (= i ii) e (ho_12069 u ii)))))))))) (let ((_let_4721 (forall ((x |u_(-> Bool tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (y |u_(-> Bool tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|)) (or (not (forall ((z Bool)) (= (ho_12069 x z) (ho_12069 y z)))) (= x y))))) (let ((_let_4722 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|) (e |u_(-> tptp.int tptp.product_prod_num_num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12987 v ii) (ite (= i ii) e (ho_12987 u ii)))))))))) (let ((_let_4723 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12987 x z) (ho_12987 y z)))) (= x y))))) (let ((_let_4724 (forall ((u |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (e |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (i tptp.heap_Heap_ref_a)) (not (forall ((v |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((ii tptp.heap_Heap_ref_a)) (= (ho_12070 v ii) (ite (= i ii) e (ho_12070 u ii)))))))))) (let ((_let_4725 (forall ((x |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (y |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|)) (or (not (forall ((z tptp.heap_Heap_ref_a)) (= (ho_12070 x z) (ho_12070 y z)))) (= x y))))) (let ((_let_4726 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12508 v ii) (ite (= i ii) e (ho_12508 u ii)))))))))) (let ((_let_4727 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12508 x z) (ho_12508 y z)))) (= x y))))) (let ((_let_4728 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12067 v ii) (ite (= i ii) e (ho_12067 u ii)))))))))) (let ((_let_4729 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_12067 x z) (ho_12067 y z)))) (= x y))))) (let ((_let_4730 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|) (e |u_(-> tptp.num tptp.int)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_14691 v ii) (ite (= i ii) e (ho_14691 u ii)))))))))) (let ((_let_4731 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.int)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_14691 x z) (ho_14691 y z)))) (= x y))))) (let ((_let_4732 (forall ((u |u_(-> tptp.product_prod_nat_num Bool)|) (e Bool) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num Bool)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12065 v ii) (ite (= i ii) e (ho_12065 u ii)))))))))) (let ((_let_4733 (forall ((x |u_(-> tptp.product_prod_nat_num Bool)|) (y |u_(-> tptp.product_prod_nat_num Bool)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12065 x z) (ho_12065 y z)))) (= x y))))) (let ((_let_4734 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat Bool)|) (e Bool) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_12064 v ii) (ite (= i ii) e (ho_12064 u ii)))))))))) (let ((_let_4735 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat Bool)|) (y |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_12064 x z) (ho_12064 y z)))) (= x y))))) (let ((_let_4736 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12063 v ii) (ite (= i ii) e (ho_12063 u ii)))))))))) (let ((_let_4737 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12063 x z) (ho_12063 y z)))) (= x y))))) (let ((_let_4738 (forall ((u |u_(-> tptp.nat tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_12061 v ii) (ite (= i ii) e (ho_12061 u ii)))))))))) (let ((_let_4739 (forall ((x |u_(-> tptp.nat tptp.product_prod_num_nat)|) (y |u_(-> tptp.nat tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_12061 x z) (ho_12061 y z)))) (= x y))))) (let ((_let_4740 (forall ((u |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|) (e tptp.produc7812382424243267045t_unit) (i tptp.produc1799199577659733785_ref_a)) (not (forall ((v |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.produc1799199577659733785_ref_a)) (= (ho_12058 v ii) (ite (= i ii) e (ho_12058 u ii)))))))))) (let ((_let_4741 (forall ((x |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.produc1799199577659733785_ref_a)) (= (ho_12058 x z) (ho_12058 y z)))) (= x y))))) (let ((_let_4742 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_13479 v ii) (ite (= i ii) e (ho_13479 u ii)))))))))) (let ((_let_4743 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_13479 x z) (ho_13479 y z)))) (= x y))))) (let ((_let_4744 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|) (i |u_(-> tptp.int tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer)|)) (= (ho_14772 v ii) (ite (= i ii) e (ho_14772 u ii)))))))))) (let ((_let_4745 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer)|)) (= (ho_14772 x z) (ho_14772 y z)))) (= x y))))) (let ((_let_4746 (forall ((u |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (e tptp.ref_a) (i tptp.produc1799199577659733785_ref_a)) (not (forall ((v |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (not (forall ((ii tptp.produc1799199577659733785_ref_a)) (= (ho_12052 v ii) (ite (= i ii) e (ho_12052 u ii)))))))))) (let ((_let_4747 (forall ((x |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (y |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (or (not (forall ((z tptp.produc1799199577659733785_ref_a)) (= (ho_12052 x z) (ho_12052 y z)))) (= x y))))) (let ((_let_4748 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.ref_ref_a tptp.heap_Heap_ref_a)|) (e |u_(-> tptp.ref_ref_a tptp.heap_Heap_ref_a)|) (i |u_(-> tptp.ref_a tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.ref_ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12042 v ii) (ite (= i ii) e (ho_12042 u ii)))))))))) (let ((_let_4749 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.ref_ref_a tptp.heap_Heap_ref_a)|) (y |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.ref_ref_a tptp.heap_Heap_ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12042 x z) (ho_12042 y z)))) (= x y))))) (let ((_let_4750 (forall ((u |u_(-> tptp.ref_ref_a tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (i tptp.ref_ref_a)) (not (forall ((v |u_(-> tptp.ref_ref_a tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.ref_ref_a)) (= (ho_12040 v ii) (ite (= i ii) e (ho_12040 u ii)))))))))) (let ((_let_4751 (forall ((x |u_(-> tptp.ref_ref_a tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.ref_ref_a tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.ref_ref_a)) (= (ho_12040 x z) (ho_12040 y z)))) (= x y))))) (let ((_let_4752 (forall ((u |u_(-> tptp.ref_a tptp.ref_a)|) (e tptp.ref_a) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12038 v ii) (ite (= i ii) e (ho_12038 u ii)))))))))) (let ((_let_4753 (forall ((x |u_(-> tptp.ref_a tptp.ref_a)|) (y |u_(-> tptp.ref_a tptp.ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12038 x z) (ho_12038 y z)))) (= x y))))) (let ((_let_4754 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_ref_a tptp.ref_a)|) (e |u_(-> tptp.ref_ref_a tptp.ref_a)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_ref_a tptp.ref_a)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12036 v ii) (ite (= i ii) e (ho_12036 u ii)))))))))) (let ((_let_4755 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_ref_a tptp.ref_a)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_ref_a tptp.ref_a)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12036 x z) (ho_12036 y z)))) (= x y))))) (let ((_let_4756 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12795 v ii) (ite (= i ii) e (ho_12795 u ii)))))))))) (let ((_let_4757 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12795 x z) (ho_12795 y z)))) (= x y))))) (let ((_let_4758 (forall ((u |u_(-> tptp.ref_ref_a tptp.ref_a)|) (e tptp.ref_a) (i tptp.ref_ref_a)) (not (forall ((v |u_(-> tptp.ref_ref_a tptp.ref_a)|)) (not (forall ((ii tptp.ref_ref_a)) (= (ho_12037 v ii) (ite (= i ii) e (ho_12037 u ii)))))))))) (let ((_let_4759 (forall ((x |u_(-> tptp.ref_ref_a tptp.ref_a)|) (y |u_(-> tptp.ref_ref_a tptp.ref_a)|)) (or (not (forall ((z tptp.ref_ref_a)) (= (ho_12037 x z) (ho_12037 y z)))) (= x y))))) (let ((_let_4760 (forall ((u |u_(-> tptp.heap_Heap_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (i tptp.heap_Heap_a)) (not (forall ((v |u_(-> tptp.heap_Heap_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|)) (not (forall ((ii tptp.heap_Heap_a)) (= (ho_12031 v ii) (ite (= i ii) e (ho_12031 u ii)))))))))) (let ((_let_4761 (forall ((x |u_(-> tptp.heap_Heap_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (y |u_(-> tptp.heap_Heap_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|)) (or (not (forall ((z tptp.heap_Heap_a)) (= (ho_12031 x z) (ho_12031 y z)))) (= x y))))) (let ((_let_4762 (forall ((u |u_(-> _u_(-> tptp.a tptp.a)_ tptp.ref_a tptp.heap_Heap_a)|) (e |u_(-> tptp.ref_a tptp.heap_Heap_a)|) (i |u_(-> tptp.a tptp.a)|)) (not (forall ((v |u_(-> _u_(-> tptp.a tptp.a)_ tptp.ref_a tptp.heap_Heap_a)|)) (not (forall ((ii |u_(-> tptp.a tptp.a)|)) (= (ho_12028 v ii) (ite (= i ii) e (ho_12028 u ii)))))))))) (let ((_let_4763 (forall ((x |u_(-> _u_(-> tptp.a tptp.a)_ tptp.ref_a tptp.heap_Heap_a)|) (y |u_(-> _u_(-> tptp.a tptp.a)_ tptp.ref_a tptp.heap_Heap_a)|)) (or (not (forall ((z |u_(-> tptp.a tptp.a)|)) (= (ho_12028 x z) (ho_12028 y z)))) (= x y))))) (let ((_let_4764 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12033 v ii) (ite (= i ii) e (ho_12033 u ii)))))))))) (let ((_let_4765 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12033 x z) (ho_12033 y z)))) (= x y))))) (let ((_let_4766 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12749 v ii) (ite (= i ii) e (ho_12749 u ii)))))))))) (let ((_let_4767 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12749 x z) (ho_12749 y z)))) (= x y))))) (let ((_let_4768 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12245 v ii) (ite (= i ii) e (ho_12245 u ii)))))))))) (let ((_let_4769 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_12245 x z) (ho_12245 y z)))) (= x y))))) (let ((_let_4770 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_12034 v ii) (ite (= i ii) e (ho_12034 u ii)))))))))) (let ((_let_4771 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_12034 x z) (ho_12034 y z)))) (= x y))))) (let ((_let_4772 (forall ((u |u_(-> tptp.a tptp.a)|) (e tptp.a) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a)|)) (not (forall ((ii tptp.a)) (= (ho_12026 v ii) (ite (= i ii) e (ho_12026 u ii)))))))))) (let ((_let_4773 (forall ((x |u_(-> tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_12026 x z) (ho_12026 y z)))) (= x y))))) (let ((_let_4774 (forall ((u |u_(-> tptp.ref_a tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12021 v ii) (ite (= i ii) e (ho_12021 u ii)))))))))) (let ((_let_4775 (forall ((x |u_(-> tptp.ref_a tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.ref_a tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12021 x z) (ho_12021 y z)))) (= x y))))) (let ((_let_4776 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12511 v ii) (ite (= i ii) e (ho_12511 u ii)))))))))) (let ((_let_4777 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12511 x z) (ho_12511 y z)))) (= x y))))) (let ((_let_4778 (forall ((u |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (i tptp.heap_Heap_ref_a)) (not (forall ((v |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|)) (not (forall ((ii tptp.heap_Heap_ref_a)) (= (ho_12017 v ii) (ite (= i ii) e (ho_12017 u ii)))))))))) (let ((_let_4779 (forall ((x |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (y |u_(-> tptp.heap_Heap_ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|)) (or (not (forall ((z tptp.heap_Heap_ref_a)) (= (ho_12017 x z) (ho_12017 y z)))) (= x y))))) (let ((_let_4780 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (= (ho_12015 v ii) (ite (= i ii) e (ho_12015 u ii)))))))))) (let ((_let_4781 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)_ tptp.heap_Heap_ref_a)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (= (ho_12015 x z) (ho_12015 y z)))) (= x y))))) (let ((_let_4782 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (e |u_(-> tptp.ref_a Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12019 v ii) (ite (= i ii) e (ho_12019 u ii)))))))))) (let ((_let_4783 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12019 x z) (ho_12019 y z)))) (= x y))))) (let ((_let_4784 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5762 v ii) (ite (= i ii) e (ho_5762 u ii)))))))))) (let ((_let_4785 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5762 x z) (ho_5762 y z)))) (= x y))))) (let ((_let_4786 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_12413 v ii) (ite (= i ii) e (ho_12413 u ii)))))))))) (let ((_let_4787 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_12413 x z) (ho_12413 y z)))) (= x y))))) (let ((_let_4788 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (e tptp.heap_e7401611519738050253t_unit) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12011 v ii) (ite (= i ii) e (ho_12011 u ii)))))))))) (let ((_let_4789 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12011 x z) (ho_12011 y z)))) (= x y))))) (let ((_let_4790 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit Bool)|) (e |u_(-> tptp.produc7812382424243267045t_unit Bool)|) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12008 v ii) (ite (= i ii) e (ho_12008 u ii)))))))))) (let ((_let_4791 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit Bool)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit Bool)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12008 x z) (ho_12008 y z)))) (= x y))))) (let ((_let_4792 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.a)|) (e |u_(-> tptp.ref_a tptp.a)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.a)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12004 v ii) (ite (= i ii) e (ho_12004 u ii)))))))))) (let ((_let_4793 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.a)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.a)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12004 x z) (ho_12004 y z)))) (= x y))))) (let ((_let_4794 (forall ((u |u_(-> _u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)_ _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (e |u_(-> _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (i |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)_ _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (not (forall ((ii |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (= (ho_15647 v ii) (ite (= i ii) e (ho_15647 u ii)))))))))) (let ((_let_4795 (forall ((x |u_(-> _u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)_ _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (y |u_(-> _u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)_ _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (or (not (forall ((z |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (= (ho_15647 x z) (ho_15647 y z)))) (= x y))))) (let ((_let_4796 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12523 v ii) (ite (= i ii) e (ho_12523 u ii)))))))))) (let ((_let_4797 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12523 x z) (ho_12523 y z)))) (= x y))))) (let ((_let_4798 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|) (e tptp.a) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12002 v ii) (ite (= i ii) e (ho_12002 u ii)))))))))) (let ((_let_4799 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12002 x z) (ho_12002 y z)))) (= x y))))) (let ((_let_4800 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_12613 v ii) (ite (= i ii) e (ho_12613 u ii)))))))))) (let ((_let_4801 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_12613 x z) (ho_12613 y z)))) (= x y))))) (let ((_let_4802 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_11997 v ii) (ite (= i ii) e (ho_11997 u ii)))))))))) (let ((_let_4803 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_11997 x z) (ho_11997 y z)))) (= x y))))) (let ((_let_4804 (forall ((u |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr3149072824959771635_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|)) (not (forall ((ii tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14913 v ii) (ite (= i ii) e (ho_14913 u ii)))))))))) (let ((_let_4805 (forall ((x |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|) (y |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr3149072824959771635_nat_o)) (= (ho_14913 x z) (ho_14913 y z)))) (= x y))))) (let ((_let_4806 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_15437 v ii) (ite (= i ii) e (ho_15437 u ii)))))))))) (let ((_let_4807 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_15437 x z) (ho_15437 y z)))) (= x y))))) (let ((_let_4808 (forall ((u |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit)|) (e tptp.produc7812382424243267045t_unit) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_11995 v ii) (ite (= i ii) e (ho_11995 u ii)))))))))) (let ((_let_4809 (forall ((x |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_11995 x z) (ho_11995 y z)))) (= x y))))) (let ((_let_4810 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11981 v ii) (ite (= i ii) e (ho_11981 u ii)))))))))) (let ((_let_4811 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11981 x z) (ho_11981 y z)))) (= x y))))) (let ((_let_4812 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_16061 v ii) (ite (= i ii) e (ho_16061 u ii)))))))))) (let ((_let_4813 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_16061 x z) (ho_16061 y z)))) (= x y))))) (let ((_let_4814 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11978 v ii) (ite (= i ii) e (ho_11978 u ii)))))))))) (let ((_let_4815 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11978 x z) (ho_11978 y z)))) (= x y))))) (let ((_let_4816 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_11973 v ii) (ite (= i ii) e (ho_11973 u ii)))))))))) (let ((_let_4817 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_11973 x z) (ho_11973 y z)))) (= x y))))) (let ((_let_4818 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12122 v ii) (ite (= i ii) e (ho_12122 u ii)))))))))) (let ((_let_4819 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12122 x z) (ho_12122 y z)))) (= x y))))) (let ((_let_4820 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_11970 v ii) (ite (= i ii) e (ho_11970 u ii)))))))))) (let ((_let_4821 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.int tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_11970 x z) (ho_11970 y z)))) (= x y))))) (let ((_let_4822 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (e tptp.produc1319942482725812455at_nat) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_11944 v ii) (ite (= i ii) e (ho_11944 u ii)))))))))) (let ((_let_4823 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_11944 x z) (ho_11944 y z)))) (= x y))))) (let ((_let_4824 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_11932 v ii) (ite (= i ii) e (ho_11932 u ii)))))))))) (let ((_let_4825 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_11932 x z) (ho_11932 y z)))) (= x y))))) (let ((_let_4826 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_11929 v ii) (ite (= i ii) e (ho_11929 u ii)))))))))) (let ((_let_4827 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_11929 x z) (ho_11929 y z)))) (= x y))))) (let ((_let_4828 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|) (e |u_(-> tptp.int tptp.set_rat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14367 v ii) (ite (= i ii) e (ho_14367 u ii)))))))))) (let ((_let_4829 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14367 x z) (ho_14367 y z)))) (= x y))))) (let ((_let_4830 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|) (e |u_(-> tptp.product_prod_num_nat tptp.nat)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_11923 v ii) (ite (= i ii) e (ho_11923 u ii)))))))))) (let ((_let_4831 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_11923 x z) (ho_11923 y z)))) (= x y))))) (let ((_let_4832 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14133 v ii) (ite (= i ii) e (ho_14133 u ii)))))))))) (let ((_let_4833 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14133 x z) (ho_14133 y z)))) (= x y))))) (let ((_let_4834 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.num)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|) (e |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|) (i |u_(-> tptp.product_prod_nat_num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.num)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.num)|)) (= (ho_11915 v ii) (ite (= i ii) e (ho_11915 u ii)))))))))) (let ((_let_4835 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.num)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.num)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.num)|)) (= (ho_11915 x z) (ho_11915 y z)))) (= x y))))) (let ((_let_4836 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.num)|) (e tptp.num) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.num)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_11913 v ii) (ite (= i ii) e (ho_11913 u ii)))))))))) (let ((_let_4837 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.num)|) (y |u_(-> tptp.product_prod_nat_num tptp.num)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_11913 x z) (ho_11913 y z)))) (= x y))))) (let ((_let_4838 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13505 v ii) (ite (= i ii) e (ho_13505 u ii)))))))))) (let ((_let_4839 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13505 x z) (ho_13505 y z)))) (= x y))))) (let ((_let_4840 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|) (e |u_(-> tptp.product_prod_num_nat tptp.num)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_11916 v ii) (ite (= i ii) e (ho_11916 u ii)))))))))) (let ((_let_4841 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_11916 x z) (ho_11916 y z)))) (= x y))))) (let ((_let_4842 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (= (ho_12579 v ii) (ite (= i ii) e (ho_12579 u ii)))))))))) (let ((_let_4843 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_num_nat)|)) (= (ho_12579 x z) (ho_12579 y z)))) (= x y))))) (let ((_let_4844 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|)) (= (ho_11911 v ii) (ite (= i ii) e (ho_11911 u ii)))))))))) (let ((_let_4845 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|)) (= (ho_11911 x z) (ho_11911 y z)))) (= x y))))) (let ((_let_4846 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.num)|) (e tptp.num) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.num)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_11917 v ii) (ite (= i ii) e (ho_11917 u ii)))))))))) (let ((_let_4847 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.num)|) (y |u_(-> tptp.product_prod_num_nat tptp.num)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_11917 x z) (ho_11917 y z)))) (= x y))))) (let ((_let_4848 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11894 v ii) (ite (= i ii) e (ho_11894 u ii)))))))))) (let ((_let_4849 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11894 x z) (ho_11894 y z)))) (= x y))))) (let ((_let_4850 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_13835 v ii) (ite (= i ii) e (ho_13835 u ii)))))))))) (let ((_let_4851 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_13835 x z) (ho_13835 y z)))) (= x y))))) (let ((_let_4852 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_15938 v ii) (ite (= i ii) e (ho_15938 u ii)))))))))) (let ((_let_4853 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_15938 x z) (ho_15938 y z)))) (= x y))))) (let ((_let_4854 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11739 v ii) (ite (= i ii) e (ho_11739 u ii)))))))))) (let ((_let_4855 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11739 x z) (ho_11739 y z)))) (= x y))))) (let ((_let_4856 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12381 v ii) (ite (= i ii) e (ho_12381 u ii)))))))))) (let ((_let_4857 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12381 x z) (ho_12381 y z)))) (= x y))))) (let ((_let_4858 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11740 v ii) (ite (= i ii) e (ho_11740 u ii)))))))))) (let ((_let_4859 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11740 x z) (ho_11740 y z)))) (= x y))))) (let ((_let_4860 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10222 v ii) (ite (= i ii) e (ho_10222 u ii)))))))))) (let ((_let_4861 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10222 x z) (ho_10222 y z)))) (= x y))))) (let ((_let_4862 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11741 v ii) (ite (= i ii) e (ho_11741 u ii)))))))))) (let ((_let_4863 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11741 x z) (ho_11741 y z)))) (= x y))))) (let ((_let_4864 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11735 v ii) (ite (= i ii) e (ho_11735 u ii)))))))))) (let ((_let_4865 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11735 x z) (ho_11735 y z)))) (= x y))))) (let ((_let_4866 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11736 v ii) (ite (= i ii) e (ho_11736 u ii)))))))))) (let ((_let_4867 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11736 x z) (ho_11736 y z)))) (= x y))))) (let ((_let_4868 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11716 v ii) (ite (= i ii) e (ho_11716 u ii)))))))))) (let ((_let_4869 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11716 x z) (ho_11716 y z)))) (= x y))))) (let ((_let_4870 (forall ((u |u_(-> tptp.set_ch7978006088466058503at_nat _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i tptp.set_ch7978006088466058503at_nat)) (not (forall ((v |u_(-> tptp.set_ch7978006088466058503at_nat _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_ch7978006088466058503at_nat)) (= (ho_14191 v ii) (ite (= i ii) e (ho_14191 u ii)))))))))) (let ((_let_4871 (forall ((x |u_(-> tptp.set_ch7978006088466058503at_nat _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> tptp.set_ch7978006088466058503at_nat _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_ch7978006088466058503at_nat)) (= (ho_14191 x z) (ho_14191 y z)))) (= x y))))) (let ((_let_4872 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|) (e |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10271 v ii) (ite (= i ii) e (ho_10271 u ii)))))))))) (let ((_let_4873 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10271 x z) (ho_10271 y z)))) (= x y))))) (let ((_let_4874 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11710 v ii) (ite (= i ii) e (ho_11710 u ii)))))))))) (let ((_let_4875 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11710 x z) (ho_11710 y z)))) (= x y))))) (let ((_let_4876 (forall ((u |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|) (e tptp.code_integer) (i tptp.produc8923325533196201883nteger)) (not (forall ((v |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((ii tptp.produc8923325533196201883nteger)) (= (ho_12307 v ii) (ite (= i ii) e (ho_12307 u ii)))))))))) (let ((_let_4877 (forall ((x |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|) (y |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (or (not (forall ((z tptp.produc8923325533196201883nteger)) (= (ho_12307 x z) (ho_12307 y z)))) (= x y))))) (let ((_let_4878 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_11614 v ii) (ite (= i ii) e (ho_11614 u ii)))))))))) (let ((_let_4879 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_11614 x z) (ho_11614 y z)))) (= x y))))) (let ((_let_4880 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8642 v ii) (ite (= i ii) e (ho_8642 u ii)))))))))) (let ((_let_4881 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8642 x z) (ho_8642 y z)))) (= x y))))) (let ((_let_4882 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12664 v ii) (ite (= i ii) e (ho_12664 u ii)))))))))) (let ((_let_4883 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12664 x z) (ho_12664 y z)))) (= x y))))) (let ((_let_4884 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11615 v ii) (ite (= i ii) e (ho_11615 u ii)))))))))) (let ((_let_4885 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11615 x z) (ho_11615 y z)))) (= x y))))) (let ((_let_4886 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_11582 v ii) (ite (= i ii) e (ho_11582 u ii)))))))))) (let ((_let_4887 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_11582 x z) (ho_11582 y z)))) (= x y))))) (let ((_let_4888 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|) (e |u_(-> tptp.set_nat tptp.set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15645 v ii) (ite (= i ii) e (ho_15645 u ii)))))))))) (let ((_let_4889 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15645 x z) (ho_15645 y z)))) (= x y))))) (let ((_let_4890 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_11567 v ii) (ite (= i ii) e (ho_11567 u ii)))))))))) (let ((_let_4891 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_11567 x z) (ho_11567 y z)))) (= x y))))) (let ((_let_4892 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_15389 v ii) (ite (= i ii) e (ho_15389 u ii)))))))))) (let ((_let_4893 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_15389 x z) (ho_15389 y z)))) (= x y))))) (let ((_let_4894 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11563 v ii) (ite (= i ii) e (ho_11563 u ii)))))))))) (let ((_let_4895 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11563 x z) (ho_11563 y z)))) (= x y))))) (let ((_let_4896 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_11560 v ii) (ite (= i ii) e (ho_11560 u ii)))))))))) (let ((_let_4897 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_11560 x z) (ho_11560 y z)))) (= x y))))) (let ((_let_4898 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ Bool)|) (e Bool) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_11561 v ii) (ite (= i ii) e (ho_11561 u ii)))))))))) (let ((_let_4899 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_11561 x z) (ho_11561 y z)))) (= x y))))) (let ((_let_4900 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11556 v ii) (ite (= i ii) e (ho_11556 u ii)))))))))) (let ((_let_4901 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11556 x z) (ho_11556 y z)))) (= x y))))) (let ((_let_4902 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12310 v ii) (ite (= i ii) e (ho_12310 u ii)))))))))) (let ((_let_4903 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12310 x z) (ho_12310 y z)))) (= x y))))) (let ((_let_4904 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (= (ho_12313 v ii) (ite (= i ii) e (ho_12313 u ii)))))))))) (let ((_let_4905 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (= (ho_12313 x z) (ho_12313 y z)))) (= x y))))) (let ((_let_4906 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7818 v ii) (ite (= i ii) e (ho_7818 u ii)))))))))) (let ((_let_4907 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7818 x z) (ho_7818 y z)))) (= x y))))) (let ((_let_4908 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13852 v ii) (ite (= i ii) e (ho_13852 u ii)))))))))) (let ((_let_4909 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13852 x z) (ho_13852 y z)))) (= x y))))) (let ((_let_4910 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11551 v ii) (ite (= i ii) e (ho_11551 u ii)))))))))) (let ((_let_4911 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11551 x z) (ho_11551 y z)))) (= x y))))) (let ((_let_4912 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11552 v ii) (ite (= i ii) e (ho_11552 u ii)))))))))) (let ((_let_4913 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11552 x z) (ho_11552 y z)))) (= x y))))) (let ((_let_4914 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_11546 v ii) (ite (= i ii) e (ho_11546 u ii)))))))))) (let ((_let_4915 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_11546 x z) (ho_11546 y z)))) (= x y))))) (let ((_let_4916 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11539 v ii) (ite (= i ii) e (ho_11539 u ii)))))))))) (let ((_let_4917 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11539 x z) (ho_11539 y z)))) (= x y))))) (let ((_let_4918 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_15161 v ii) (ite (= i ii) e (ho_15161 u ii)))))))))) (let ((_let_4919 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_15161 x z) (ho_15161 y z)))) (= x y))))) (let ((_let_4920 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_11530 v ii) (ite (= i ii) e (ho_11530 u ii)))))))))) (let ((_let_4921 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_11530 x z) (ho_11530 y z)))) (= x y))))) (let ((_let_4922 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_11526 v ii) (ite (= i ii) e (ho_11526 u ii)))))))))) (let ((_let_4923 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_11526 x z) (ho_11526 y z)))) (= x y))))) (let ((_let_4924 (forall ((u |u_(-> tptp.list_nat tptp.list_nat)|) (e tptp.list_nat) (i tptp.list_nat)) (not (forall ((v |u_(-> tptp.list_nat tptp.list_nat)|)) (not (forall ((ii tptp.list_nat)) (= (ho_6687 v ii) (ite (= i ii) e (ho_6687 u ii)))))))))) (let ((_let_4925 (forall ((x |u_(-> tptp.list_nat tptp.list_nat)|) (y |u_(-> tptp.list_nat tptp.list_nat)|)) (or (not (forall ((z tptp.list_nat)) (= (ho_6687 x z) (ho_6687 y z)))) (= x y))))) (let ((_let_4926 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_11527 v ii) (ite (= i ii) e (ho_11527 u ii)))))))))) (let ((_let_4927 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_11527 x z) (ho_11527 y z)))) (= x y))))) (let ((_let_4928 (forall ((u |u_(-> tptp.set_ref_a tptp.set_ref_a)|) (e tptp.set_ref_a) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a tptp.set_ref_a)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_15349 v ii) (ite (= i ii) e (ho_15349 u ii)))))))))) (let ((_let_4929 (forall ((x |u_(-> tptp.set_ref_a tptp.set_ref_a)|) (y |u_(-> tptp.set_ref_a tptp.set_ref_a)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_15349 x z) (ho_15349 y z)))) (= x y))))) (let ((_let_4930 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_14735 v ii) (ite (= i ii) e (ho_14735 u ii)))))))))) (let ((_let_4931 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_14735 x z) (ho_14735 y z)))) (= x y))))) (let ((_let_4932 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_11520 v ii) (ite (= i ii) e (ho_11520 u ii)))))))))) (let ((_let_4933 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_11520 x z) (ho_11520 y z)))) (= x y))))) (let ((_let_4934 (forall ((u |u_(-> tptp.char tptp.char)|) (e tptp.char) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.char)|)) (not (forall ((ii tptp.char)) (= (ho_13341 v ii) (ite (= i ii) e (ho_13341 u ii)))))))))) (let ((_let_4935 (forall ((x |u_(-> tptp.char tptp.char)|) (y |u_(-> tptp.char tptp.char)|)) (or (not (forall ((z tptp.char)) (= (ho_13341 x z) (ho_13341 y z)))) (= x y))))) (let ((_let_4936 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_11501 v ii) (ite (= i ii) e (ho_11501 u ii)))))))))) (let ((_let_4937 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_11501 x z) (ho_11501 y z)))) (= x y))))) (let ((_let_4938 (forall ((u |u_(-> tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4511 v ii) (ite (= i ii) e (ho_4511 u ii)))))))))) (let ((_let_4939 (forall ((x |u_(-> tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4511 x z) (ho_4511 y z)))) (= x y))))) (let ((_let_4940 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_11496 v ii) (ite (= i ii) e (ho_11496 u ii)))))))))) (let ((_let_4941 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_11496 x z) (ho_11496 y z)))) (= x y))))) (let ((_let_4942 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11468 v ii) (ite (= i ii) e (ho_11468 u ii)))))))))) (let ((_let_4943 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11468 x z) (ho_11468 y z)))) (= x y))))) (let ((_let_4944 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_11458 v ii) (ite (= i ii) e (ho_11458 u ii)))))))))) (let ((_let_4945 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_11458 x z) (ho_11458 y z)))) (= x y))))) (let ((_let_4946 (forall ((u |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (e tptp.produc143505574896075907r_char) (i tptp.produc3922234789054302210ar_nat)) (not (forall ((v |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (not (forall ((ii tptp.produc3922234789054302210ar_nat)) (= (ho_16060 v ii) (ite (= i ii) e (ho_16060 u ii)))))))))) (let ((_let_4947 (forall ((x |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|) (y |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc143505574896075907r_char)|)) (or (not (forall ((z tptp.produc3922234789054302210ar_nat)) (= (ho_16060 x z) (ho_16060 y z)))) (= x y))))) (let ((_let_4948 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|) (e tptp.set_se9180647916752606350_nat_o) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_6272 v ii) (ite (= i ii) e (ho_6272 u ii)))))))))) (let ((_let_4949 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_6272 x z) (ho_6272 y z)))) (= x y))))) (let ((_let_4950 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|) (e tptp.set_Pr7995236796853374141at_int) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_14424 v ii) (ite (= i ii) e (ho_14424 u ii)))))))))) (let ((_let_4951 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_14424 x z) (ho_14424 y z)))) (= x y))))) (let ((_let_4952 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)_ tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|) (e |u_(-> tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|) (i |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)_ tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|)) (= (ho_9017 v ii) (ite (= i ii) e (ho_9017 u ii)))))))))) (let ((_let_4953 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)_ tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)_ tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|)) (= (ho_9017 x z) (ho_9017 y z)))) (= x y))))) (let ((_let_4954 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10194 v ii) (ite (= i ii) e (ho_10194 u ii)))))))))) (let ((_let_4955 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10194 x z) (ho_10194 y z)))) (= x y))))) (let ((_let_4956 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11446 v ii) (ite (= i ii) e (ho_11446 u ii)))))))))) (let ((_let_4957 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11446 x z) (ho_11446 y z)))) (= x y))))) (let ((_let_4958 (forall ((u |u_(-> tptp.set_int tptp.set_char)|) (e tptp.set_char) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_char)|)) (not (forall ((ii tptp.set_int)) (= (ho_15595 v ii) (ite (= i ii) e (ho_15595 u ii)))))))))) (let ((_let_4959 (forall ((x |u_(-> tptp.set_int tptp.set_char)|) (y |u_(-> tptp.set_int tptp.set_char)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15595 x z) (ho_15595 y z)))) (= x y))))) (let ((_let_4960 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_11440 v ii) (ite (= i ii) e (ho_11440 u ii)))))))))) (let ((_let_4961 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_11440 x z) (ho_11440 y z)))) (= x y))))) (let ((_let_4962 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_11437 v ii) (ite (= i ii) e (ho_11437 u ii)))))))))) (let ((_let_4963 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_11437 x z) (ho_11437 y z)))) (= x y))))) (let ((_let_4964 (forall ((u |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|) (e tptp.set_Pr1413074515586503650ar_nat) (i tptp.set_Pr4256460214963601898ar_rat)) (not (forall ((v |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|)) (not (forall ((ii tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13440 v ii) (ite (= i ii) e (ho_13440 u ii)))))))))) (let ((_let_4965 (forall ((x |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|) (y |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr1413074515586503650ar_nat)|)) (or (not (forall ((z tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13440 x z) (ho_13440 y z)))) (= x y))))) (let ((_let_4966 (forall ((u |u_(-> tptp.nat tptp.num tptp.option_num)|) (e |u_(-> tptp.num tptp.option_num)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.option_num)|)) (not (forall ((ii tptp.nat)) (= (ho_4579 v ii) (ite (= i ii) e (ho_4579 u ii)))))))))) (let ((_let_4967 (forall ((x |u_(-> tptp.nat tptp.num tptp.option_num)|) (y |u_(-> tptp.nat tptp.num tptp.option_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_4579 x z) (ho_4579 y z)))) (= x y))))) (let ((_let_4968 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14076 v ii) (ite (= i ii) e (ho_14076 u ii)))))))))) (let ((_let_4969 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14076 x z) (ho_14076 y z)))) (= x y))))) (let ((_let_4970 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_11434 v ii) (ite (= i ii) e (ho_11434 u ii)))))))))) (let ((_let_4971 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_11434 x z) (ho_11434 y z)))) (= x y))))) (let ((_let_4972 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (= (ho_11435 v ii) (ite (= i ii) e (ho_11435 u ii)))))))))) (let ((_let_4973 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (= (ho_11435 x z) (ho_11435 y z)))) (= x y))))) (let ((_let_4974 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_11431 v ii) (ite (= i ii) e (ho_11431 u ii)))))))))) (let ((_let_4975 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_11431 x z) (ho_11431 y z)))) (= x y))))) (let ((_let_4976 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7345 v ii) (ite (= i ii) e (ho_7345 u ii)))))))))) (let ((_let_4977 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.produc600557818389255820it_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7345 x z) (ho_7345 y z)))) (= x y))))) (let ((_let_4978 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|) (e tptp.set_Pr6292255179000445125nt_rat) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14476 v ii) (ite (= i ii) e (ho_14476 u ii)))))))))) (let ((_let_4979 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_Pr6292255179000445125nt_rat)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14476 x z) (ho_14476 y z)))) (= x y))))) (let ((_let_4980 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (= (ho_11428 v ii) (ite (= i ii) e (ho_11428 u ii)))))))))) (let ((_let_4981 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (= (ho_11428 x z) (ho_11428 y z)))) (= x y))))) (let ((_let_4982 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (e |u_(-> tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_13437 v ii) (ite (= i ii) e (ho_13437 u ii)))))))))) (let ((_let_4983 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.produc414006230660905482ar_rat tptp.produc3922234789054302210ar_nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_13437 x z) (ho_13437 y z)))) (= x y))))) (let ((_let_4984 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_11425 v ii) (ite (= i ii) e (ho_11425 u ii)))))))))) (let ((_let_4985 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_11425 x z) (ho_11425 y z)))) (= x y))))) (let ((_let_4986 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11415 v ii) (ite (= i ii) e (ho_11415 u ii)))))))))) (let ((_let_4987 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11415 x z) (ho_11415 y z)))) (= x y))))) (let ((_let_4988 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_11411 v ii) (ite (= i ii) e (ho_11411 u ii)))))))))) (let ((_let_4989 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_11411 x z) (ho_11411 y z)))) (= x y))))) (let ((_let_4990 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|) (e |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13312 v ii) (ite (= i ii) e (ho_13312 u ii)))))))))) (let ((_let_4991 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13312 x z) (ho_13312 y z)))) (= x y))))) (let ((_let_4992 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11416 v ii) (ite (= i ii) e (ho_11416 u ii)))))))))) (let ((_let_4993 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11416 x z) (ho_11416 y z)))) (= x y))))) (let ((_let_4994 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11406 v ii) (ite (= i ii) e (ho_11406 u ii)))))))))) (let ((_let_4995 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11406 x z) (ho_11406 y z)))) (= x y))))) (let ((_let_4996 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool tptp.char)|) (e |u_(-> Bool tptp.char)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool tptp.char)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_14189 v ii) (ite (= i ii) e (ho_14189 u ii)))))))))) (let ((_let_4997 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool tptp.char)|) (y |u_(-> _u_(-> Bool Bool)_ Bool tptp.char)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_14189 x z) (ho_14189 y z)))) (= x y))))) (let ((_let_4998 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11404 v ii) (ite (= i ii) e (ho_11404 u ii)))))))))) (let ((_let_4999 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11404 x z) (ho_11404 y z)))) (= x y))))) (let ((_let_5000 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11407 v ii) (ite (= i ii) e (ho_11407 u ii)))))))))) (let ((_let_5001 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11407 x z) (ho_11407 y z)))) (= x y))))) (let ((_let_5002 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11397 v ii) (ite (= i ii) e (ho_11397 u ii)))))))))) (let ((_let_5003 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11397 x z) (ho_11397 y z)))) (= x y))))) (let ((_let_5004 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|) (e tptp.nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_12384 v ii) (ite (= i ii) e (ho_12384 u ii)))))))))) (let ((_let_5005 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_12384 x z) (ho_12384 y z)))) (= x y))))) (let ((_let_5006 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11393 v ii) (ite (= i ii) e (ho_11393 u ii)))))))))) (let ((_let_5007 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_11393 x z) (ho_11393 y z)))) (= x y))))) (let ((_let_5008 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11390 v ii) (ite (= i ii) e (ho_11390 u ii)))))))))) (let ((_let_5009 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11390 x z) (ho_11390 y z)))) (= x y))))) (let ((_let_5010 (forall ((u |u_(-> tptp.set_int Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_5852 v ii) (ite (= i ii) e (ho_5852 u ii)))))))))) (let ((_let_5011 (forall ((x |u_(-> tptp.set_int Bool tptp.set_nat)|) (y |u_(-> tptp.set_int Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5852 x z) (ho_5852 y z)))) (= x y))))) (let ((_let_5012 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11395 v ii) (ite (= i ii) e (ho_11395 u ii)))))))))) (let ((_let_5013 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11395 x z) (ho_11395 y z)))) (= x y))))) (let ((_let_5014 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11388 v ii) (ite (= i ii) e (ho_11388 u ii)))))))))) (let ((_let_5015 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11388 x z) (ho_11388 y z)))) (= x y))))) (let ((_let_5016 (forall ((u |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5394 v ii) (ite (= i ii) e (ho_5394 u ii)))))))))) (let ((_let_5017 (forall ((x |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5394 x z) (ho_5394 y z)))) (= x y))))) (let ((_let_5018 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_char tptp.set_rat)|) (e |u_(-> tptp.set_char tptp.set_rat)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_char tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13367 v ii) (ite (= i ii) e (ho_13367 u ii)))))))))) (let ((_let_5019 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_char tptp.set_rat)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ tptp.set_char tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13367 x z) (ho_13367 y z)))) (= x y))))) (let ((_let_5020 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11389 v ii) (ite (= i ii) e (ho_11389 u ii)))))))))) (let ((_let_5021 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11389 x z) (ho_11389 y z)))) (= x y))))) (let ((_let_5022 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11379 v ii) (ite (= i ii) e (ho_11379 u ii)))))))))) (let ((_let_5023 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11379 x z) (ho_11379 y z)))) (= x y))))) (let ((_let_5024 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_14070 v ii) (ite (= i ii) e (ho_14070 u ii)))))))))) (let ((_let_5025 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_14070 x z) (ho_14070 y z)))) (= x y))))) (let ((_let_5026 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10168 v ii) (ite (= i ii) e (ho_10168 u ii)))))))))) (let ((_let_5027 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10168 x z) (ho_10168 y z)))) (= x y))))) (let ((_let_5028 (forall ((u |u_(-> tptp.set_rat tptp.set_Product_unit tptp.set_rat_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_rat_Product_unit)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_Product_unit tptp.set_rat_Product_unit)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15499 v ii) (ite (= i ii) e (ho_15499 u ii)))))))))) (let ((_let_5029 (forall ((x |u_(-> tptp.set_rat tptp.set_Product_unit tptp.set_rat_Product_unit)|) (y |u_(-> tptp.set_rat tptp.set_Product_unit tptp.set_rat_Product_unit)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15499 x z) (ho_15499 y z)))) (= x y))))) (let ((_let_5030 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (e |u_(-> tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13416 v ii) (ite (= i ii) e (ho_13416 u ii)))))))))) (let ((_let_5031 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ tptp.produc143505574896075907r_char tptp.produc8967755806399881310ar_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13416 x z) (ho_13416 y z)))) (= x y))))) (let ((_let_5032 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11380 v ii) (ite (= i ii) e (ho_11380 u ii)))))))))) (let ((_let_5033 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11380 x z) (ho_11380 y z)))) (= x y))))) (let ((_let_5034 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_13815 v ii) (ite (= i ii) e (ho_13815 u ii)))))))))) (let ((_let_5035 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_nat)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_13815 x z) (ho_13815 y z)))) (= x y))))) (let ((_let_5036 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11375 v ii) (ite (= i ii) e (ho_11375 u ii)))))))))) (let ((_let_5037 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11375 x z) (ho_11375 y z)))) (= x y))))) (let ((_let_5038 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_5910 v ii) (ite (= i ii) e (ho_5910 u ii)))))))))) (let ((_let_5039 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_5910 x z) (ho_5910 y z)))) (= x y))))) (let ((_let_5040 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_11373 v ii) (ite (= i ii) e (ho_11373 u ii)))))))))) (let ((_let_5041 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_11373 x z) (ho_11373 y z)))) (= x y))))) (let ((_let_5042 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_11370 v ii) (ite (= i ii) e (ho_11370 u ii)))))))))) (let ((_let_5043 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_11370 x z) (ho_11370 y z)))) (= x y))))) (let ((_let_5044 (forall ((u |u_(-> tptp.ref_a tptp.set_ref_a tptp.set_ref_a)|) (e |u_(-> tptp.set_ref_a tptp.set_ref_a)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.set_ref_a tptp.set_ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_15348 v ii) (ite (= i ii) e (ho_15348 u ii)))))))))) (let ((_let_5045 (forall ((x |u_(-> tptp.ref_a tptp.set_ref_a tptp.set_ref_a)|) (y |u_(-> tptp.ref_a tptp.set_ref_a tptp.set_ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_15348 x z) (ho_15348 y z)))) (= x y))))) (let ((_let_5046 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_11371 v ii) (ite (= i ii) e (ho_11371 u ii)))))))))) (let ((_let_5047 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_11371 x z) (ho_11371 y z)))) (= x y))))) (let ((_let_5048 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_14011 v ii) (ite (= i ii) e (ho_14011 u ii)))))))))) (let ((_let_5049 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_14011 x z) (ho_14011 y z)))) (= x y))))) (let ((_let_5050 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11365 v ii) (ite (= i ii) e (ho_11365 u ii)))))))))) (let ((_let_5051 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11365 x z) (ho_11365 y z)))) (= x y))))) (let ((_let_5052 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_11361 v ii) (ite (= i ii) e (ho_11361 u ii)))))))))) (let ((_let_5053 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_11361 x z) (ho_11361 y z)))) (= x y))))) (let ((_let_5054 (forall ((u |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (e |u_(-> tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (i tptp.product_prod_nat_o)) (not (forall ((v |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|)) (not (forall ((ii tptp.product_prod_nat_o)) (= (ho_15183 v ii) (ite (= i ii) e (ho_15183 u ii)))))))))) (let ((_let_5055 (forall ((x |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|) (y |u_(-> tptp.product_prod_nat_o tptp.set_Pr3149072824959771635_nat_o tptp.set_Pr3149072824959771635_nat_o)|)) (or (not (forall ((z tptp.product_prod_nat_o)) (= (ho_15183 x z) (ho_15183 y z)))) (= x y))))) (let ((_let_5056 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|) (e tptp.set_Product_prod_o_o) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_13803 v ii) (ite (= i ii) e (ho_13803 u ii)))))))))) (let ((_let_5057 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_Product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_13803 x z) (ho_13803 y z)))) (= x y))))) (let ((_let_5058 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> tptp.num tptp.num Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11363 v ii) (ite (= i ii) e (ho_11363 u ii)))))))))) (let ((_let_5059 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11363 x z) (ho_11363 y z)))) (= x y))))) (let ((_let_5060 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_10908 v ii) (ite (= i ii) e (ho_10908 u ii)))))))))) (let ((_let_5061 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_10908 x z) (ho_10908 y z)))) (= x y))))) (let ((_let_5062 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11366 v ii) (ite (= i ii) e (ho_11366 u ii)))))))))) (let ((_let_5063 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11366 x z) (ho_11366 y z)))) (= x y))))) (let ((_let_5064 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|) (e |u_(-> tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (= (ho_12483 v ii) (ite (= i ii) e (ho_12483 u ii)))))))))) (let ((_let_5065 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)_ tptp.produc5066145461314735602t_unit tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.num)|)) (= (ho_12483 x z) (ho_12483 y z)))) (= x y))))) (let ((_let_5066 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_11356 v ii) (ite (= i ii) e (ho_11356 u ii)))))))))) (let ((_let_5067 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11356 x z) (ho_11356 y z)))) (= x y))))) (let ((_let_5068 (forall ((u |u_(-> tptp.char tptp.set_char)|) (e tptp.set_char) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_char)|)) (not (forall ((ii tptp.char)) (= (ho_11327 v ii) (ite (= i ii) e (ho_11327 u ii)))))))))) (let ((_let_5069 (forall ((x |u_(-> tptp.char tptp.set_char)|) (y |u_(-> tptp.char tptp.set_char)|)) (or (not (forall ((z tptp.char)) (= (ho_11327 x z) (ho_11327 y z)))) (= x y))))) (let ((_let_5070 (forall ((u |u_(-> tptp.char tptp.set_rat)|) (e tptp.set_rat) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_rat)|)) (not (forall ((ii tptp.char)) (= (ho_11325 v ii) (ite (= i ii) e (ho_11325 u ii)))))))))) (let ((_let_5071 (forall ((x |u_(-> tptp.char tptp.set_rat)|) (y |u_(-> tptp.char tptp.set_rat)|)) (or (not (forall ((z tptp.char)) (= (ho_11325 x z) (ho_11325 y z)))) (= x y))))) (let ((_let_5072 (forall ((u |u_(-> tptp.char tptp.set_nat)|) (e tptp.set_nat) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_nat)|)) (not (forall ((ii tptp.char)) (= (ho_11323 v ii) (ite (= i ii) e (ho_11323 u ii)))))))))) (let ((_let_5073 (forall ((x |u_(-> tptp.char tptp.set_nat)|) (y |u_(-> tptp.char tptp.set_nat)|)) (or (not (forall ((z tptp.char)) (= (ho_11323 x z) (ho_11323 y z)))) (= x y))))) (let ((_let_5074 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|) (e |u_(-> tptp.product_prod_int_int tptp.num)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12685 v ii) (ite (= i ii) e (ho_12685 u ii)))))))))) (let ((_let_5075 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12685 x z) (ho_12685 y z)))) (= x y))))) (let ((_let_5076 (forall ((u |u_(-> Bool _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii Bool)) (= (ho_11210 v ii) (ite (= i ii) e (ho_11210 u ii)))))))))) (let ((_let_5077 (forall ((x |u_(-> Bool _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> Bool _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z Bool)) (= (ho_11210 x z) (ho_11210 y z)))) (= x y))))) (let ((_let_5078 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_14360 v ii) (ite (= i ii) e (ho_14360 u ii)))))))))) (let ((_let_5079 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_14360 x z) (ho_14360 y z)))) (= x y))))) (let ((_let_5080 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11205 v ii) (ite (= i ii) e (ho_11205 u ii)))))))))) (let ((_let_5081 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11205 x z) (ho_11205 y z)))) (= x y))))) (let ((_let_5082 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14817 v ii) (ite (= i ii) e (ho_14817 u ii)))))))))) (let ((_let_5083 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14817 x z) (ho_14817 y z)))) (= x y))))) (let ((_let_5084 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (e |u_(-> Bool tptp.product_unit)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_8420 v ii) (ite (= i ii) e (ho_8420 u ii)))))))))) (let ((_let_5085 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_8420 x z) (ho_8420 y z)))) (= x y))))) (let ((_let_5086 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11203 v ii) (ite (= i ii) e (ho_11203 u ii)))))))))) (let ((_let_5087 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11203 x z) (ho_11203 y z)))) (= x y))))) (let ((_let_5088 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> tptp.int tptp.rat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11186 v ii) (ite (= i ii) e (ho_11186 u ii)))))))))) (let ((_let_5089 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11186 x z) (ho_11186 y z)))) (= x y))))) (let ((_let_5090 (forall ((u |u_(-> tptp.set_int tptp.set_o)|) (e tptp.set_o) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_o)|)) (not (forall ((ii tptp.set_int)) (= (ho_11173 v ii) (ite (= i ii) e (ho_11173 u ii)))))))))) (let ((_let_5091 (forall ((x |u_(-> tptp.set_int tptp.set_o)|) (y |u_(-> tptp.set_int tptp.set_o)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11173 x z) (ho_11173 y z)))) (= x y))))) (let ((_let_5092 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13179 v ii) (ite (= i ii) e (ho_13179 u ii)))))))))) (let ((_let_5093 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13179 x z) (ho_13179 y z)))) (= x y))))) (let ((_let_5094 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_11165 v ii) (ite (= i ii) e (ho_11165 u ii)))))))))) (let ((_let_5095 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_11165 x z) (ho_11165 y z)))) (= x y))))) (let ((_let_5096 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool Bool)|) (e |u_(-> tptp.set_int tptp.int Bool Bool)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_7525 v ii) (ite (= i ii) e (ho_7525 u ii)))))))))) (let ((_let_5097 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_7525 x z) (ho_7525 y z)))) (= x y))))) (let ((_let_5098 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_11162 v ii) (ite (= i ii) e (ho_11162 u ii)))))))))) (let ((_let_5099 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_11162 x z) (ho_11162 y z)))) (= x y))))) (let ((_let_5100 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_11163 v ii) (ite (= i ii) e (ho_11163 u ii)))))))))) (let ((_let_5101 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_11163 x z) (ho_11163 y z)))) (= x y))))) (let ((_let_5102 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_12884 v ii) (ite (= i ii) e (ho_12884 u ii)))))))))) (let ((_let_5103 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_12884 x z) (ho_12884 y z)))) (= x y))))) (let ((_let_5104 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_11158 v ii) (ite (= i ii) e (ho_11158 u ii)))))))))) (let ((_let_5105 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_11158 x z) (ho_11158 y z)))) (= x y))))) (let ((_let_5106 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_11155 v ii) (ite (= i ii) e (ho_11155 u ii)))))))))) (let ((_let_5107 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_11155 x z) (ho_11155 y z)))) (= x y))))) (let ((_let_5108 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (e |u_(-> _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11151 v ii) (ite (= i ii) e (ho_11151 u ii)))))))))) (let ((_let_5109 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ tptp.rat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11151 x z) (ho_11151 y z)))) (= x y))))) (let ((_let_5110 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13483 v ii) (ite (= i ii) e (ho_13483 u ii)))))))))) (let ((_let_5111 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> Bool tptp.int Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13483 x z) (ho_13483 y z)))) (= x y))))) (let ((_let_5112 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (e |u_(-> tptp.rat Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ tptp.rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_11152 v ii) (ite (= i ii) e (ho_11152 u ii)))))))))) (let ((_let_5113 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ tptp.rat Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ tptp.rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_11152 x z) (ho_11152 y z)))) (= x y))))) (let ((_let_5114 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13496 v ii) (ite (= i ii) e (ho_13496 u ii)))))))))) (let ((_let_5115 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13496 x z) (ho_13496 y z)))) (= x y))))) (let ((_let_5116 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11148 v ii) (ite (= i ii) e (ho_11148 u ii)))))))))) (let ((_let_5117 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11148 x z) (ho_11148 y z)))) (= x y))))) (let ((_let_5118 (forall ((u |u_(-> tptp.ref_a tptp.nat)|) (e tptp.nat) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.nat)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12446 v ii) (ite (= i ii) e (ho_12446 u ii)))))))))) (let ((_let_5119 (forall ((x |u_(-> tptp.ref_a tptp.nat)|) (y |u_(-> tptp.ref_a tptp.nat)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12446 x z) (ho_12446 y z)))) (= x y))))) (let ((_let_5120 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_11145 v ii) (ite (= i ii) e (ho_11145 u ii)))))))))) (let ((_let_5121 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_11145 x z) (ho_11145 y z)))) (= x y))))) (let ((_let_5122 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11143 v ii) (ite (= i ii) e (ho_11143 u ii)))))))))) (let ((_let_5123 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11143 x z) (ho_11143 y z)))) (= x y))))) (let ((_let_5124 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_10458 v ii) (ite (= i ii) e (ho_10458 u ii)))))))))) (let ((_let_5125 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_10458 x z) (ho_10458 y z)))) (= x y))))) (let ((_let_5126 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_11140 v ii) (ite (= i ii) e (ho_11140 u ii)))))))))) (let ((_let_5127 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_11140 x z) (ho_11140 y z)))) (= x y))))) (let ((_let_5128 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13939 v ii) (ite (= i ii) e (ho_13939 u ii)))))))))) (let ((_let_5129 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> Bool tptp.rat Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13939 x z) (ho_13939 y z)))) (= x y))))) (let ((_let_5130 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11141 v ii) (ite (= i ii) e (ho_11141 u ii)))))))))) (let ((_let_5131 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11141 x z) (ho_11141 y z)))) (= x y))))) (let ((_let_5132 (forall ((u |u_(-> tptp.nat tptp.product_unit Bool)|) (e |u_(-> tptp.product_unit Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_unit Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_16059 v ii) (ite (= i ii) e (ho_16059 u ii)))))))))) (let ((_let_5133 (forall ((x |u_(-> tptp.nat tptp.product_unit Bool)|) (y |u_(-> tptp.nat tptp.product_unit Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_16059 x z) (ho_16059 y z)))) (= x y))))) (let ((_let_5134 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_11138 v ii) (ite (= i ii) e (ho_11138 u ii)))))))))) (let ((_let_5135 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_11138 x z) (ho_11138 y z)))) (= x y))))) (let ((_let_5136 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_6395 v ii) (ite (= i ii) e (ho_6395 u ii)))))))))) (let ((_let_5137 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_6395 x z) (ho_6395 y z)))) (= x y))))) (let ((_let_5138 (forall ((u |u_(-> tptp.set_nat tptp.nat Bool tptp.set_nat)|) (e |u_(-> tptp.nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5558 v ii) (ite (= i ii) e (ho_5558 u ii)))))))))) (let ((_let_5139 (forall ((x |u_(-> tptp.set_nat tptp.nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5558 x z) (ho_5558 y z)))) (= x y))))) (let ((_let_5140 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_11131 v ii) (ite (= i ii) e (ho_11131 u ii)))))))))) (let ((_let_5141 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11131 x z) (ho_11131 y z)))) (= x y))))) (let ((_let_5142 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ tptp.char Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_7225 v ii) (ite (= i ii) e (ho_7225 u ii)))))))))) (let ((_let_5143 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ tptp.char Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ tptp.char Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_7225 x z) (ho_7225 y z)))) (= x y))))) (let ((_let_5144 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12776 v ii) (ite (= i ii) e (ho_12776 u ii)))))))))) (let ((_let_5145 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12776 x z) (ho_12776 y z)))) (= x y))))) (let ((_let_5146 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11128 v ii) (ite (= i ii) e (ho_11128 u ii)))))))))) (let ((_let_5147 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11128 x z) (ho_11128 y z)))) (= x y))))) (let ((_let_5148 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11126 v ii) (ite (= i ii) e (ho_11126 u ii)))))))))) (let ((_let_5149 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11126 x z) (ho_11126 y z)))) (= x y))))) (let ((_let_5150 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_7211 v ii) (ite (= i ii) e (ho_7211 u ii)))))))))) (let ((_let_5151 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_7211 x z) (ho_7211 y z)))) (= x y))))) (let ((_let_5152 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_11083 v ii) (ite (= i ii) e (ho_11083 u ii)))))))))) (let ((_let_5153 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_11083 x z) (ho_11083 y z)))) (= x y))))) (let ((_let_5154 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num tptp.set_int)|) (e |u_(-> tptp.set_num tptp.set_int)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_7320 v ii) (ite (= i ii) e (ho_7320 u ii)))))))))) (let ((_let_5155 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num tptp.set_int)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ tptp.set_num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_7320 x z) (ho_7320 y z)))) (= x y))))) (let ((_let_5156 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_11084 v ii) (ite (= i ii) e (ho_11084 u ii)))))))))) (let ((_let_5157 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_11084 x z) (ho_11084 y z)))) (= x y))))) (let ((_let_5158 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_5343 v ii) (ite (= i ii) e (ho_5343 u ii)))))))))) (let ((_let_5159 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_5343 x z) (ho_5343 y z)))) (= x y))))) (let ((_let_5160 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|) (e |u_(-> tptp.nat tptp.set_char)|) (i |u_(-> tptp.nat tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_char)|)) (= (ho_8868 v ii) (ite (= i ii) e (ho_8868 u ii)))))))))) (let ((_let_5161 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|) (y |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_char)|)) (= (ho_8868 x z) (ho_8868 y z)))) (= x y))))) (let ((_let_5162 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_11076 v ii) (ite (= i ii) e (ho_11076 u ii)))))))))) (let ((_let_5163 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_11076 x z) (ho_11076 y z)))) (= x y))))) (let ((_let_5164 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_11065 v ii) (ite (= i ii) e (ho_11065 u ii)))))))))) (let ((_let_5165 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_11065 x z) (ho_11065 y z)))) (= x y))))) (let ((_let_5166 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|) (e |u_(-> tptp.char tptp.rat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_11066 v ii) (ite (= i ii) e (ho_11066 u ii)))))))))) (let ((_let_5167 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_11066 x z) (ho_11066 y z)))) (= x y))))) (let ((_let_5168 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_11061 v ii) (ite (= i ii) e (ho_11061 u ii)))))))))) (let ((_let_5169 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_11061 x z) (ho_11061 y z)))) (= x y))))) (let ((_let_5170 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11058 v ii) (ite (= i ii) e (ho_11058 u ii)))))))))) (let ((_let_5171 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11058 x z) (ho_11058 y z)))) (= x y))))) (let ((_let_5172 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_11059 v ii) (ite (= i ii) e (ho_11059 u ii)))))))))) (let ((_let_5173 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_11059 x z) (ho_11059 y z)))) (= x y))))) (let ((_let_5174 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|) (e |u_(-> tptp.char tptp.int)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_11056 v ii) (ite (= i ii) e (ho_11056 u ii)))))))))) (let ((_let_5175 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_11056 x z) (ho_11056 y z)))) (= x y))))) (let ((_let_5176 (forall ((u |u_(-> tptp.char tptp.int)|) (e tptp.int) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.int)|)) (not (forall ((ii tptp.char)) (= (ho_11053 v ii) (ite (= i ii) e (ho_11053 u ii)))))))))) (let ((_let_5177 (forall ((x |u_(-> tptp.char tptp.int)|) (y |u_(-> tptp.char tptp.int)|)) (or (not (forall ((z tptp.char)) (= (ho_11053 x z) (ho_11053 y z)))) (= x y))))) (let ((_let_5178 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8556 v ii) (ite (= i ii) e (ho_8556 u ii)))))))))) (let ((_let_5179 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8556 x z) (ho_8556 y z)))) (= x y))))) (let ((_let_5180 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_11047 v ii) (ite (= i ii) e (ho_11047 u ii)))))))))) (let ((_let_5181 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_11047 x z) (ho_11047 y z)))) (= x y))))) (let ((_let_5182 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_11041 v ii) (ite (= i ii) e (ho_11041 u ii)))))))))) (let ((_let_5183 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_11041 x z) (ho_11041 y z)))) (= x y))))) (let ((_let_5184 (forall ((u |u_(-> tptp.nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_5148 v ii) (ite (= i ii) e (ho_5148 u ii)))))))))) (let ((_let_5185 (forall ((x |u_(-> tptp.nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_5148 x z) (ho_5148 y z)))) (= x y))))) (let ((_let_5186 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|) (e |u_(-> tptp.rat tptp.int)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_11042 v ii) (ite (= i ii) e (ho_11042 u ii)))))))))) (let ((_let_5187 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_11042 x z) (ho_11042 y z)))) (= x y))))) (let ((_let_5188 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11037 v ii) (ite (= i ii) e (ho_11037 u ii)))))))))) (let ((_let_5189 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11037 x z) (ho_11037 y z)))) (= x y))))) (let ((_let_5190 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat_nat Bool)|) (e |u_(-> tptp.set_nat_nat Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat_nat Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_15695 v ii) (ite (= i ii) e (ho_15695 u ii)))))))))) (let ((_let_5191 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat_nat Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat_nat Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_15695 x z) (ho_15695 y z)))) (= x y))))) (let ((_let_5192 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11026 v ii) (ite (= i ii) e (ho_11026 u ii)))))))))) (let ((_let_5193 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11026 x z) (ho_11026 y z)))) (= x y))))) (let ((_let_5194 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|) (e |u_(-> tptp.num tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_11027 v ii) (ite (= i ii) e (ho_11027 u ii)))))))))) (let ((_let_5195 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.num tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_11027 x z) (ho_11027 y z)))) (= x y))))) (let ((_let_5196 (forall ((u |u_(-> tptp.num tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((ii tptp.num)) (= (ho_11028 v ii) (ite (= i ii) e (ho_11028 u ii)))))))))) (let ((_let_5197 (forall ((x |u_(-> tptp.num tptp.nat Bool)|) (y |u_(-> tptp.num tptp.nat Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_11028 x z) (ho_11028 y z)))) (= x y))))) (let ((_let_5198 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11022 v ii) (ite (= i ii) e (ho_11022 u ii)))))))))) (let ((_let_5199 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11022 x z) (ho_11022 y z)))) (= x y))))) (let ((_let_5200 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11017 v ii) (ite (= i ii) e (ho_11017 u ii)))))))))) (let ((_let_5201 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11017 x z) (ho_11017 y z)))) (= x y))))) (let ((_let_5202 (forall ((u |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7056 v ii) (ite (= i ii) e (ho_7056 u ii)))))))))) (let ((_let_5203 (forall ((x |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat)|) (y |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7056 x z) (ho_7056 y z)))) (= x y))))) (let ((_let_5204 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12894 v ii) (ite (= i ii) e (ho_12894 u ii)))))))))) (let ((_let_5205 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12894 x z) (ho_12894 y z)))) (= x y))))) (let ((_let_5206 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_11011 v ii) (ite (= i ii) e (ho_11011 u ii)))))))))) (let ((_let_5207 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_11011 x z) (ho_11011 y z)))) (= x y))))) (let ((_let_5208 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_10973 v ii) (ite (= i ii) e (ho_10973 u ii)))))))))) (let ((_let_5209 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_10973 x z) (ho_10973 y z)))) (= x y))))) (let ((_let_5210 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_10970 v ii) (ite (= i ii) e (ho_10970 u ii)))))))))) (let ((_let_5211 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_10970 x z) (ho_10970 y z)))) (= x y))))) (let ((_let_5212 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14057 v ii) (ite (= i ii) e (ho_14057 u ii)))))))))) (let ((_let_5213 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14057 x z) (ho_14057 y z)))) (= x y))))) (let ((_let_5214 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_10967 v ii) (ite (= i ii) e (ho_10967 u ii)))))))))) (let ((_let_5215 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_10967 x z) (ho_10967 y z)))) (= x y))))) (let ((_let_5216 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_nat tptp.set_o)|) (e |u_(-> tptp.set_nat tptp.set_o)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_nat tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_15665 v ii) (ite (= i ii) e (ho_15665 u ii)))))))))) (let ((_let_5217 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_nat tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_15665 x z) (ho_15665 y z)))) (= x y))))) (let ((_let_5218 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_7329 v ii) (ite (= i ii) e (ho_7329 u ii)))))))))) (let ((_let_5219 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_7329 x z) (ho_7329 y z)))) (= x y))))) (let ((_let_5220 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14592 v ii) (ite (= i ii) e (ho_14592 u ii)))))))))) (let ((_let_5221 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14592 x z) (ho_14592 y z)))) (= x y))))) (let ((_let_5222 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10181 v ii) (ite (= i ii) e (ho_10181 u ii)))))))))) (let ((_let_5223 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10181 x z) (ho_10181 y z)))) (= x y))))) (let ((_let_5224 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_9717 v ii) (ite (= i ii) e (ho_9717 u ii)))))))))) (let ((_let_5225 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_9717 x z) (ho_9717 y z)))) (= x y))))) (let ((_let_5226 (forall ((u |u_(-> tptp.num tptp.nat)|) (e tptp.nat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat)|)) (not (forall ((ii tptp.num)) (= (ho_7322 v ii) (ite (= i ii) e (ho_7322 u ii)))))))))) (let ((_let_5227 (forall ((x |u_(-> tptp.num tptp.nat)|) (y |u_(-> tptp.num tptp.nat)|)) (or (not (forall ((z tptp.num)) (= (ho_7322 x z) (ho_7322 y z)))) (= x y))))) (let ((_let_5228 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4970 v ii) (ite (= i ii) e (ho_4970 u ii)))))))))) (let ((_let_5229 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4970 x z) (ho_4970 y z)))) (= x y))))) (let ((_let_5230 (forall ((u |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8843 v ii) (ite (= i ii) e (ho_8843 u ii)))))))))) (let ((_let_5231 (forall ((x |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8843 x z) (ho_8843 y z)))) (= x y))))) (let ((_let_5232 (forall ((u |u_(-> tptp.set_o Bool tptp.nat Bool)|) (e |u_(-> Bool tptp.nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7310 v ii) (ite (= i ii) e (ho_7310 u ii)))))))))) (let ((_let_5233 (forall ((x |u_(-> tptp.set_o Bool tptp.nat Bool)|) (y |u_(-> tptp.set_o Bool tptp.nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7310 x z) (ho_7310 y z)))) (= x y))))) (let ((_let_5234 (forall ((u |u_(-> tptp.nat tptp.set_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4854 v ii) (ite (= i ii) e (ho_4854 u ii)))))))))) (let ((_let_5235 (forall ((x |u_(-> tptp.nat tptp.set_nat tptp.set_nat)|) (y |u_(-> tptp.nat tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4854 x z) (ho_4854 y z)))) (= x y))))) (let ((_let_5236 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool tptp.int Bool)|) (e |u_(-> tptp.set_o Bool tptp.int Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_7300 v ii) (ite (= i ii) e (ho_7300 u ii)))))))))) (let ((_let_5237 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_7300 x z) (ho_7300 y z)))) (= x y))))) (let ((_let_5238 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_7287 v ii) (ite (= i ii) e (ho_7287 u ii)))))))))) (let ((_let_5239 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_7287 x z) (ho_7287 y z)))) (= x y))))) (let ((_let_5240 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.int)_ tptp.int Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7297 v ii) (ite (= i ii) e (ho_7297 u ii)))))))))) (let ((_let_5241 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ tptp.int Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.int)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7297 x z) (ho_7297 y z)))) (= x y))))) (let ((_let_5242 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_10971 v ii) (ite (= i ii) e (ho_10971 u ii)))))))))) (let ((_let_5243 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_10971 x z) (ho_10971 y z)))) (= x y))))) (let ((_let_5244 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5011 v ii) (ite (= i ii) e (ho_5011 u ii)))))))))) (let ((_let_5245 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5011 x z) (ho_5011 y z)))) (= x y))))) (let ((_let_5246 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7292 v ii) (ite (= i ii) e (ho_7292 u ii)))))))))) (let ((_let_5247 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7292 x z) (ho_7292 y z)))) (= x y))))) (let ((_let_5248 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (e |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_11937 v ii) (ite (= i ii) e (ho_11937 u ii)))))))))) (let ((_let_5249 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_11937 x z) (ho_11937 y z)))) (= x y))))) (let ((_let_5250 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (e |u_(-> Bool tptp.set_int)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_5616 v ii) (ite (= i ii) e (ho_5616 u ii)))))))))) (let ((_let_5251 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_5616 x z) (ho_5616 y z)))) (= x y))))) (let ((_let_5252 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10277 v ii) (ite (= i ii) e (ho_10277 u ii)))))))))) (let ((_let_5253 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10277 x z) (ho_10277 y z)))) (= x y))))) (let ((_let_5254 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14318 v ii) (ite (= i ii) e (ho_14318 u ii)))))))))) (let ((_let_5255 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14318 x z) (ho_14318 y z)))) (= x y))))) (let ((_let_5256 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5777 v ii) (ite (= i ii) e (ho_5777 u ii)))))))))) (let ((_let_5257 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5777 x z) (ho_5777 y z)))) (= x y))))) (let ((_let_5258 (forall ((u |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_Pr553994874890374343at_nat)) (not (forall ((v |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr553994874890374343at_nat)) (= (ho_7285 v ii) (ite (= i ii) e (ho_7285 u ii)))))))))) (let ((_let_5259 (forall ((x |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr553994874890374343at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr553994874890374343at_nat)) (= (ho_7285 x z) (ho_7285 y z)))) (= x y))))) (let ((_let_5260 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7352 v ii) (ite (= i ii) e (ho_7352 u ii)))))))))) (let ((_let_5261 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7352 x z) (ho_7352 y z)))) (= x y))))) (let ((_let_5262 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit tptp.set_o)|) (e |u_(-> tptp.set_Product_unit tptp.set_o)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_7271 v ii) (ite (= i ii) e (ho_7271 u ii)))))))))) (let ((_let_5263 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.set_Product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_7271 x z) (ho_7271 y z)))) (= x y))))) (let ((_let_5264 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_7282 v ii) (ite (= i ii) e (ho_7282 u ii)))))))))) (let ((_let_5265 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_7282 x z) (ho_7282 y z)))) (= x y))))) (let ((_let_5266 (forall ((u |u_(-> tptp.set_o tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_6874 v ii) (ite (= i ii) e (ho_6874 u ii)))))))))) (let ((_let_5267 (forall ((x |u_(-> tptp.set_o tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_o tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6874 x z) (ho_6874 y z)))) (= x y))))) (let ((_let_5268 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_15552 v ii) (ite (= i ii) e (ho_15552 u ii)))))))))) (let ((_let_5269 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_list_nat)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_15552 x z) (ho_15552 y z)))) (= x y))))) (let ((_let_5270 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7244 v ii) (ite (= i ii) e (ho_7244 u ii)))))))))) (let ((_let_5271 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7244 x z) (ho_7244 y z)))) (= x y))))) (let ((_let_5272 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|) (e tptp.set_Pr7995236796853374141at_int) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14498 v ii) (ite (= i ii) e (ho_14498 u ii)))))))))) (let ((_let_5273 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14498 x z) (ho_14498 y z)))) (= x y))))) (let ((_let_5274 (forall ((u |u_(-> tptp.set_num Bool)|) (e Bool) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num Bool)|)) (not (forall ((ii tptp.set_num)) (= (ho_10376 v ii) (ite (= i ii) e (ho_10376 u ii)))))))))) (let ((_let_5275 (forall ((x |u_(-> tptp.set_num Bool)|) (y |u_(-> tptp.set_num Bool)|)) (or (not (forall ((z tptp.set_num)) (= (ho_10376 x z) (ho_10376 y z)))) (= x y))))) (let ((_let_5276 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_7278 v ii) (ite (= i ii) e (ho_7278 u ii)))))))))) (let ((_let_5277 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_7278 x z) (ho_7278 y z)))) (= x y))))) (let ((_let_5278 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_6264 v ii) (ite (= i ii) e (ho_6264 u ii)))))))))) (let ((_let_5279 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_6264 x z) (ho_6264 y z)))) (= x y))))) (let ((_let_5280 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|) (e |u_(-> Bool tptp.product_unit)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_7269 v ii) (ite (= i ii) e (ho_7269 u ii)))))))))) (let ((_let_5281 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_7269 x z) (ho_7269 y z)))) (= x y))))) (let ((_let_5282 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8251 v ii) (ite (= i ii) e (ho_8251 u ii)))))))))) (let ((_let_5283 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8251 x z) (ho_8251 y z)))) (= x y))))) (let ((_let_5284 (forall ((u |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (e tptp.produc3922234789054302210ar_nat) (i tptp.produc143505574896075907r_char)) (not (forall ((v |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (not (forall ((ii tptp.produc143505574896075907r_char)) (= (ho_16058 v ii) (ite (= i ii) e (ho_16058 u ii)))))))))) (let ((_let_5285 (forall ((x |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (y |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (or (not (forall ((z tptp.produc143505574896075907r_char)) (= (ho_16058 x z) (ho_16058 y z)))) (= x y))))) (let ((_let_5286 (forall ((u |u_(-> tptp.set_o Bool Bool Bool)|) (e |u_(-> Bool Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7261 v ii) (ite (= i ii) e (ho_7261 u ii)))))))))) (let ((_let_5287 (forall ((x |u_(-> tptp.set_o Bool Bool Bool)|) (y |u_(-> tptp.set_o Bool Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7261 x z) (ho_7261 y z)))) (= x y))))) (let ((_let_5288 (forall ((u |u_(-> tptp.set_o tptp.set_o_o)|) (e tptp.set_o_o) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_o_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_15464 v ii) (ite (= i ii) e (ho_15464 u ii)))))))))) (let ((_let_5289 (forall ((x |u_(-> tptp.set_o tptp.set_o_o)|) (y |u_(-> tptp.set_o tptp.set_o_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15464 x z) (ho_15464 y z)))) (= x y))))) (let ((_let_5290 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_5427 v ii) (ite (= i ii) e (ho_5427 u ii)))))))))) (let ((_let_5291 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_5427 x z) (ho_5427 y z)))) (= x y))))) (let ((_let_5292 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_7258 v ii) (ite (= i ii) e (ho_7258 u ii)))))))))) (let ((_let_5293 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_7258 x z) (ho_7258 y z)))) (= x y))))) (let ((_let_5294 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_o tptp.set_o)|) (e |u_(-> tptp.set_o tptp.set_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_o tptp.set_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_7255 v ii) (ite (= i ii) e (ho_7255 u ii)))))))))) (let ((_let_5295 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_o tptp.set_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_o tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_7255 x z) (ho_7255 y z)))) (= x y))))) (let ((_let_5296 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|) (e |u_(-> tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12492 v ii) (ite (= i ii) e (ho_12492 u ii)))))))))) (let ((_let_5297 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12492 x z) (ho_12492 y z)))) (= x y))))) (let ((_let_5298 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_6361 v ii) (ite (= i ii) e (ho_6361 u ii)))))))))) (let ((_let_5299 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_6361 x z) (ho_6361 y z)))) (= x y))))) (let ((_let_5300 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_15246 v ii) (ite (= i ii) e (ho_15246 u ii)))))))))) (let ((_let_5301 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_15246 x z) (ho_15246 y z)))) (= x y))))) (let ((_let_5302 (forall ((u |u_(-> tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4654 v ii) (ite (= i ii) e (ho_4654 u ii)))))))))) (let ((_let_5303 (forall ((x |u_(-> tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4654 x z) (ho_4654 y z)))) (= x y))))) (let ((_let_5304 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14795 v ii) (ite (= i ii) e (ho_14795 u ii)))))))))) (let ((_let_5305 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14795 x z) (ho_14795 y z)))) (= x y))))) (let ((_let_5306 (forall ((u |u_(-> tptp.nat Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7246 v ii) (ite (= i ii) e (ho_7246 u ii)))))))))) (let ((_let_5307 (forall ((x |u_(-> tptp.nat Bool tptp.nat)|) (y |u_(-> tptp.nat Bool tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7246 x z) (ho_7246 y z)))) (= x y))))) (let ((_let_5308 (forall ((u |u_(-> tptp.set_set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_9542 v ii) (ite (= i ii) e (ho_9542 u ii)))))))))) (let ((_let_5309 (forall ((x |u_(-> tptp.set_set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_9542 x z) (ho_9542 y z)))) (= x y))))) (let ((_let_5310 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7238 v ii) (ite (= i ii) e (ho_7238 u ii)))))))))) (let ((_let_5311 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.char tptp.product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7238 x z) (ho_7238 y z)))) (= x y))))) (let ((_let_5312 (forall ((u |u_(-> tptp.product_unit tptp.char)|) (e tptp.char) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.char)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7231 v ii) (ite (= i ii) e (ho_7231 u ii)))))))))) (let ((_let_5313 (forall ((x |u_(-> tptp.product_unit tptp.char)|) (y |u_(-> tptp.product_unit tptp.char)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7231 x z) (ho_7231 y z)))) (= x y))))) (let ((_let_5314 (forall ((u |u_(-> Bool tptp.product_prod_int_o)|) (e tptp.product_prod_int_o) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_int_o)|)) (not (forall ((ii Bool)) (= (ho_14563 v ii) (ite (= i ii) e (ho_14563 u ii)))))))))) (let ((_let_5315 (forall ((x |u_(-> Bool tptp.product_prod_int_o)|) (y |u_(-> Bool tptp.product_prod_int_o)|)) (or (not (forall ((z Bool)) (= (ho_14563 x z) (ho_14563 y z)))) (= x y))))) (let ((_let_5316 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|) (e |u_(-> Bool tptp.product_prod_nat_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13233 v ii) (ite (= i ii) e (ho_13233 u ii)))))))))) (let ((_let_5317 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13233 x z) (ho_13233 y z)))) (= x y))))) (let ((_let_5318 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_nat_num)|) (e |u_(-> tptp.nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_8217 v ii) (ite (= i ii) e (ho_8217 u ii)))))))))) (let ((_let_5319 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_8217 x z) (ho_8217 y z)))) (= x y))))) (let ((_let_5320 (forall ((u |u_(-> tptp.char tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_char Bool)|)) (not (forall ((ii tptp.char)) (= (ho_7216 v ii) (ite (= i ii) e (ho_7216 u ii)))))))))) (let ((_let_5321 (forall ((x |u_(-> tptp.char tptp.set_char Bool)|) (y |u_(-> tptp.char tptp.set_char Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_7216 x z) (ho_7216 y z)))) (= x y))))) (let ((_let_5322 (forall ((u |u_(-> tptp.set_char Bool)|) (e Bool) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_7217 v ii) (ite (= i ii) e (ho_7217 u ii)))))))))) (let ((_let_5323 (forall ((x |u_(-> tptp.set_char Bool)|) (y |u_(-> tptp.set_char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_7217 x z) (ho_7217 y z)))) (= x y))))) (let ((_let_5324 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat tptp.set_char)|) (e |u_(-> tptp.set_nat tptp.set_char)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_7213 v ii) (ite (= i ii) e (ho_7213 u ii)))))))))) (let ((_let_5325 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat tptp.set_char)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.set_nat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_7213 x z) (ho_7213 y z)))) (= x y))))) (let ((_let_5326 (forall ((u |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|) (e tptp.set_he8644174446132254637t_unit) (i tptp.set_he8644174446132254637t_unit)) (not (forall ((v |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.set_he8644174446132254637t_unit)) (= (ho_15912 v ii) (ite (= i ii) e (ho_15912 u ii)))))))))) (let ((_let_5327 (forall ((x |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.set_he8644174446132254637t_unit)) (= (ho_15912 x z) (ho_15912 y z)))) (= x y))))) (let ((_let_5328 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7210 v ii) (ite (= i ii) e (ho_7210 u ii)))))))))) (let ((_let_5329 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.char tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7210 x z) (ho_7210 y z)))) (= x y))))) (let ((_let_5330 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_11055 v ii) (ite (= i ii) e (ho_11055 u ii)))))))))) (let ((_let_5331 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.char tptp.int)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_11055 x z) (ho_11055 y z)))) (= x y))))) (let ((_let_5332 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10715 v ii) (ite (= i ii) e (ho_10715 u ii)))))))))) (let ((_let_5333 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10715 x z) (ho_10715 y z)))) (= x y))))) (let ((_let_5334 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7206 v ii) (ite (= i ii) e (ho_7206 u ii)))))))))) (let ((_let_5335 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7206 x z) (ho_7206 y z)))) (= x y))))) (let ((_let_5336 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12529 v ii) (ite (= i ii) e (ho_12529 u ii)))))))))) (let ((_let_5337 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12529 x z) (ho_12529 y z)))) (= x y))))) (let ((_let_5338 (forall ((u |u_(-> Bool tptp.product_unit tptp.product_unit tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_unit tptp.product_unit tptp.product_unit)|)) (not (forall ((ii Bool)) (= (ho_7202 v ii) (ite (= i ii) e (ho_7202 u ii)))))))))) (let ((_let_5339 (forall ((x |u_(-> Bool tptp.product_unit tptp.product_unit tptp.product_unit)|) (y |u_(-> Bool tptp.product_unit tptp.product_unit tptp.product_unit)|)) (or (not (forall ((z Bool)) (= (ho_7202 x z) (ho_7202 y z)))) (= x y))))) (let ((_let_5340 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_rat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7200 v ii) (ite (= i ii) e (ho_7200 u ii)))))))))) (let ((_let_5341 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_rat)|) (y |u_(-> tptp.set_Product_unit tptp.set_rat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7200 x z) (ho_7200 y z)))) (= x y))))) (let ((_let_5342 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|) (i |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_6227 v ii) (ite (= i ii) e (ho_6227 u ii)))))))))) (let ((_let_5343 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_6227 x z) (ho_6227 y z)))) (= x y))))) (let ((_let_5344 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|) (e tptp.set_Pr6084635751276098665at_nat) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14429 v ii) (ite (= i ii) e (ho_14429 u ii)))))))))) (let ((_let_5345 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14429 x z) (ho_14429 y z)))) (= x y))))) (let ((_let_5346 (forall ((u |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14268 v ii) (ite (= i ii) e (ho_14268 u ii)))))))))) (let ((_let_5347 (forall ((x |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14268 x z) (ho_14268 y z)))) (= x y))))) (let ((_let_5348 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (= (ho_10105 v ii) (ite (= i ii) e (ho_10105 u ii)))))))))) (let ((_let_5349 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (= (ho_10105 x z) (ho_10105 y z)))) (= x y))))) (let ((_let_5350 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|) (i |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (= (ho_13692 v ii) (ite (= i ii) e (ho_13692 u ii)))))))))) (let ((_let_5351 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.list_nat Bool)_ _u_(-> tptp.list_nat tptp.list_nat Bool)_ tptp.list_nat tptp.list_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (= (ho_13692 x z) (ho_13692 y z)))) (= x y))))) (let ((_let_5352 (forall ((u |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5052 v ii) (ite (= i ii) e (ho_5052 u ii)))))))))) (let ((_let_5353 (forall ((x |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5052 x z) (ho_5052 y z)))) (= x y))))) (let ((_let_5354 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14630 v ii) (ite (= i ii) e (ho_14630 u ii)))))))))) (let ((_let_5355 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14630 x z) (ho_14630 y z)))) (= x y))))) (let ((_let_5356 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10527 v ii) (ite (= i ii) e (ho_10527 u ii)))))))))) (let ((_let_5357 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10527 x z) (ho_10527 y z)))) (= x y))))) (let ((_let_5358 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10184 v ii) (ite (= i ii) e (ho_10184 u ii)))))))))) (let ((_let_5359 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10184 x z) (ho_10184 y z)))) (= x y))))) (let ((_let_5360 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10717 v ii) (ite (= i ii) e (ho_10717 u ii)))))))))) (let ((_let_5361 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10717 x z) (ho_10717 y z)))) (= x y))))) (let ((_let_5362 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_12879 v ii) (ite (= i ii) e (ho_12879 u ii)))))))))) (let ((_let_5363 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_12879 x z) (ho_12879 y z)))) (= x y))))) (let ((_let_5364 (forall ((u |u_(-> tptp.set_Product_unit tptp.product_unit Bool Bool)|) (e |u_(-> tptp.product_unit Bool Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.product_unit Bool Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7510 v ii) (ite (= i ii) e (ho_7510 u ii)))))))))) (let ((_let_5365 (forall ((x |u_(-> tptp.set_Product_unit tptp.product_unit Bool Bool)|) (y |u_(-> tptp.set_Product_unit tptp.product_unit Bool Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7510 x z) (ho_7510 y z)))) (= x y))))) (let ((_let_5366 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6482 v ii) (ite (= i ii) e (ho_6482 u ii)))))))))) (let ((_let_5367 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6482 x z) (ho_6482 y z)))) (= x y))))) (let ((_let_5368 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ tptp.rat Bool)|) (e |u_(-> _u_(-> Bool tptp.rat)_ tptp.rat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ tptp.rat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7182 v ii) (ite (= i ii) e (ho_7182 u ii)))))))))) (let ((_let_5369 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ tptp.rat Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.rat)_ tptp.rat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7182 x z) (ho_7182 y z)))) (= x y))))) (let ((_let_5370 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5653 v ii) (ite (= i ii) e (ho_5653 u ii)))))))))) (let ((_let_5371 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5653 x z) (ho_5653 y z)))) (= x y))))) (let ((_let_5372 (forall ((u |u_(-> tptp.rat Bool)|) (e Bool) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_7184 v ii) (ite (= i ii) e (ho_7184 u ii)))))))))) (let ((_let_5373 (forall ((x |u_(-> tptp.rat Bool)|) (y |u_(-> tptp.rat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_7184 x z) (ho_7184 y z)))) (= x y))))) (let ((_let_5374 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7743 v ii) (ite (= i ii) e (ho_7743 u ii)))))))))) (let ((_let_5375 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7743 x z) (ho_7743 y z)))) (= x y))))) (let ((_let_5376 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5711 v ii) (ite (= i ii) e (ho_5711 u ii)))))))))) (let ((_let_5377 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5711 x z) (ho_5711 y z)))) (= x y))))) (let ((_let_5378 (forall ((u |u_(-> tptp.nat tptp.num tptp.int)|) (e |u_(-> tptp.num tptp.int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.int)|)) (not (forall ((ii tptp.nat)) (= (ho_13816 v ii) (ite (= i ii) e (ho_13816 u ii)))))))))) (let ((_let_5379 (forall ((x |u_(-> tptp.nat tptp.num tptp.int)|) (y |u_(-> tptp.nat tptp.num tptp.int)|)) (or (not (forall ((z tptp.nat)) (= (ho_13816 x z) (ho_13816 y z)))) (= x y))))) (let ((_let_5380 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6351 v ii) (ite (= i ii) e (ho_6351 u ii)))))))))) (let ((_let_5381 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6351 x z) (ho_6351 y z)))) (= x y))))) (let ((_let_5382 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6783 v ii) (ite (= i ii) e (ho_6783 u ii)))))))))) (let ((_let_5383 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6783 x z) (ho_6783 y z)))) (= x y))))) (let ((_let_5384 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8722 v ii) (ite (= i ii) e (ho_8722 u ii)))))))))) (let ((_let_5385 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8722 x z) (ho_8722 y z)))) (= x y))))) (let ((_let_5386 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|) (e |u_(-> tptp.nat tptp.rat tptp.nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7165 v ii) (ite (= i ii) e (ho_7165 u ii)))))))))) (let ((_let_5387 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7165 x z) (ho_7165 y z)))) (= x y))))) (let ((_let_5388 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_Product_unit tptp.set_o)|) (e |u_(-> tptp.set_Product_unit tptp.set_o)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_Product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_15653 v ii) (ite (= i ii) e (ho_15653 u ii)))))))))) (let ((_let_5389 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_Product_unit tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ tptp.set_Product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_15653 x z) (ho_15653 y z)))) (= x y))))) (let ((_let_5390 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.product_unit tptp.set_o)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_6049 v ii) (ite (= i ii) e (ho_6049 u ii)))))))))) (let ((_let_5391 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_6049 x z) (ho_6049 y z)))) (= x y))))) (let ((_let_5392 (forall ((u |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (e tptp.heap_e7401611519738050253t_unit) (i tptp.produc1799199577659733785_ref_a)) (not (forall ((v |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.produc1799199577659733785_ref_a)) (= (ho_12056 v ii) (ite (= i ii) e (ho_12056 u ii)))))))))) (let ((_let_5393 (forall ((x |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.produc1799199577659733785_ref_a)) (= (ho_12056 x z) (ho_12056 y z)))) (= x y))))) (let ((_let_5394 (forall ((u |u_(-> tptp.nat tptp.rat tptp.nat)|) (e |u_(-> tptp.rat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.rat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7166 v ii) (ite (= i ii) e (ho_7166 u ii)))))))))) (let ((_let_5395 (forall ((x |u_(-> tptp.nat tptp.rat tptp.nat)|) (y |u_(-> tptp.nat tptp.rat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7166 x z) (ho_7166 y z)))) (= x y))))) (let ((_let_5396 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|) (e |u_(-> tptp.produc1319942482725812455at_nat Bool)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_9010 v ii) (ite (= i ii) e (ho_9010 u ii)))))))))) (let ((_let_5397 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_9010 x z) (ho_9010 y z)))) (= x y))))) (let ((_let_5398 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5768 v ii) (ite (= i ii) e (ho_5768 u ii)))))))))) (let ((_let_5399 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5768 x z) (ho_5768 y z)))) (= x y))))) (let ((_let_5400 (forall ((u |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i tptp.heap_Heap_ref_a)) (not (forall ((v |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((ii tptp.heap_Heap_ref_a)) (= (ho_12071 v ii) (ite (= i ii) e (ho_12071 u ii)))))))))) (let ((_let_5401 (forall ((x |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|) (y |u_(-> tptp.heap_Heap_ref_a tptp.heap_Heap_ref_a)|)) (or (not (forall ((z tptp.heap_Heap_ref_a)) (= (ho_12071 x z) (ho_12071 y z)))) (= x y))))) (let ((_let_5402 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_7157 v ii) (ite (= i ii) e (ho_7157 u ii)))))))))) (let ((_let_5403 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7157 x z) (ho_7157 y z)))) (= x y))))) (let ((_let_5404 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_11942 v ii) (ite (= i ii) e (ho_11942 u ii)))))))))) (let ((_let_5405 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_11942 x z) (ho_11942 y z)))) (= x y))))) (let ((_let_5406 (forall ((u |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (e tptp.product_prod_nat_o) (i tptp.product_prod_nat_o)) (not (forall ((v |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (not (forall ((ii tptp.product_prod_nat_o)) (= (ho_12620 v ii) (ite (= i ii) e (ho_12620 u ii)))))))))) (let ((_let_5407 (forall ((x |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|) (y |u_(-> tptp.product_prod_nat_o tptp.product_prod_nat_o)|)) (or (not (forall ((z tptp.product_prod_nat_o)) (= (ho_12620 x z) (ho_12620 y z)))) (= x y))))) (let ((_let_5408 (forall ((u |u_(-> tptp.nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.nat)) (= (ho_8512 v ii) (ite (= i ii) e (ho_8512 u ii)))))))))) (let ((_let_5409 (forall ((x |u_(-> tptp.nat tptp.set_Product_unit)|) (y |u_(-> tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.nat)) (= (ho_8512 x z) (ho_8512 y z)))) (= x y))))) (let ((_let_5410 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12926 v ii) (ite (= i ii) e (ho_12926 u ii)))))))))) (let ((_let_5411 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12926 x z) (ho_12926 y z)))) (= x y))))) (let ((_let_5412 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_10553 v ii) (ite (= i ii) e (ho_10553 u ii)))))))))) (let ((_let_5413 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_10553 x z) (ho_10553 y z)))) (= x y))))) (let ((_let_5414 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|) (e |u_(-> tptp.int tptp.nat tptp.int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7158 v ii) (ite (= i ii) e (ho_7158 u ii)))))))))) (let ((_let_5415 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7158 x z) (ho_7158 y z)))) (= x y))))) (let ((_let_5416 (forall ((u |u_(-> tptp.set_ch6383161263842509759nt_int Bool)|) (e Bool) (i tptp.set_ch6383161263842509759nt_int)) (not (forall ((v |u_(-> tptp.set_ch6383161263842509759nt_int Bool)|)) (not (forall ((ii tptp.set_ch6383161263842509759nt_int)) (= (ho_13640 v ii) (ite (= i ii) e (ho_13640 u ii)))))))))) (let ((_let_5417 (forall ((x |u_(-> tptp.set_ch6383161263842509759nt_int Bool)|) (y |u_(-> tptp.set_ch6383161263842509759nt_int Bool)|)) (or (not (forall ((z tptp.set_ch6383161263842509759nt_int)) (= (ho_13640 x z) (ho_13640 y z)))) (= x y))))) (let ((_let_5418 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8239 v ii) (ite (= i ii) e (ho_8239 u ii)))))))))) (let ((_let_5419 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8239 x z) (ho_8239 y z)))) (= x y))))) (let ((_let_5420 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.set_set_int)|) (e |u_(-> tptp.set_nat tptp.set_set_int)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.set_set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_7552 v ii) (ite (= i ii) e (ho_7552 u ii)))))))))) (let ((_let_5421 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.set_set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.set_set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_7552 x z) (ho_7552 y z)))) (= x y))))) (let ((_let_5422 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7984 v ii) (ite (= i ii) e (ho_7984 u ii)))))))))) (let ((_let_5423 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7984 x z) (ho_7984 y z)))) (= x y))))) (let ((_let_5424 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (e |u_(-> tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_13455 v ii) (ite (= i ii) e (ho_13455 u ii)))))))))) (let ((_let_5425 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_13455 x z) (ho_13455 y z)))) (= x y))))) (let ((_let_5426 (forall ((u |u_(-> tptp.set_se4826145725398303499at_num tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.set_se4826145725398303499at_num)) (not (forall ((v |u_(-> tptp.set_se4826145725398303499at_num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_se4826145725398303499at_num)) (= (ho_6982 v ii) (ite (= i ii) e (ho_6982 u ii)))))))))) (let ((_let_5427 (forall ((x |u_(-> tptp.set_se4826145725398303499at_num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_se4826145725398303499at_num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_se4826145725398303499at_num)) (= (ho_6982 x z) (ho_6982 y z)))) (= x y))))) (let ((_let_5428 (forall ((u |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii Bool)) (= (ho_5639 v ii) (ite (= i ii) e (ho_5639 u ii)))))))))) (let ((_let_5429 (forall ((x |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z Bool)) (= (ho_5639 x z) (ho_5639 y z)))) (= x y))))) (let ((_let_5430 (forall ((u |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9513 v ii) (ite (= i ii) e (ho_9513 u ii)))))))))) (let ((_let_5431 (forall ((x |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9513 x z) (ho_9513 y z)))) (= x y))))) (let ((_let_5432 (forall ((u |u_(-> tptp.char tptp.set_int)|) (e tptp.set_int) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_int)|)) (not (forall ((ii tptp.char)) (= (ho_11321 v ii) (ite (= i ii) e (ho_11321 u ii)))))))))) (let ((_let_5433 (forall ((x |u_(-> tptp.char tptp.set_int)|) (y |u_(-> tptp.char tptp.set_int)|)) (or (not (forall ((z tptp.char)) (= (ho_11321 x z) (ho_11321 y z)))) (= x y))))) (let ((_let_5434 (forall ((u |u_(-> tptp.int tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_7159 v ii) (ite (= i ii) e (ho_7159 u ii)))))))))) (let ((_let_5435 (forall ((x |u_(-> tptp.int tptp.nat tptp.int)|) (y |u_(-> tptp.int tptp.nat tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_7159 x z) (ho_7159 y z)))) (= x y))))) (let ((_let_5436 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7150 v ii) (ite (= i ii) e (ho_7150 u ii)))))))))) (let ((_let_5437 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7150 x z) (ho_7150 y z)))) (= x y))))) (let ((_let_5438 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (e tptp.produc1319942482725812455at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 v ii) (ite (= i ii) e (ho_6283 u ii)))))))))) (let ((_let_5439 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 x z) (ho_6283 y z)))) (= x y))))) (let ((_let_5440 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7147 v ii) (ite (= i ii) e (ho_7147 u ii)))))))))) (let ((_let_5441 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7147 x z) (ho_7147 y z)))) (= x y))))) (let ((_let_5442 (forall ((u |u_(-> tptp.set_nat tptp.set_num)|) (e tptp.set_num) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_num)|)) (not (forall ((ii tptp.set_nat)) (= (ho_12300 v ii) (ite (= i ii) e (ho_12300 u ii)))))))))) (let ((_let_5443 (forall ((x |u_(-> tptp.set_nat tptp.set_num)|) (y |u_(-> tptp.set_nat tptp.set_num)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_12300 x z) (ho_12300 y z)))) (= x y))))) (let ((_let_5444 (forall ((u |u_(-> tptp.set_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5055 v ii) (ite (= i ii) e (ho_5055 u ii)))))))))) (let ((_let_5445 (forall ((x |u_(-> tptp.set_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5055 x z) (ho_5055 y z)))) (= x y))))) (let ((_let_5446 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7143 v ii) (ite (= i ii) e (ho_7143 u ii)))))))))) (let ((_let_5447 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7143 x z) (ho_7143 y z)))) (= x y))))) (let ((_let_5448 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7248 v ii) (ite (= i ii) e (ho_7248 u ii)))))))))) (let ((_let_5449 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7248 x z) (ho_7248 y z)))) (= x y))))) (let ((_let_5450 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|) (e |u_(-> tptp.char tptp.char Bool)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13354 v ii) (ite (= i ii) e (ho_13354 u ii)))))))))) (let ((_let_5451 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13354 x z) (ho_13354 y z)))) (= x y))))) (let ((_let_5452 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8378 v ii) (ite (= i ii) e (ho_8378 u ii)))))))))) (let ((_let_5453 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8378 x z) (ho_8378 y z)))) (= x y))))) (let ((_let_5454 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_7277 v ii) (ite (= i ii) e (ho_7277 u ii)))))))))) (let ((_let_5455 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_7277 x z) (ho_7277 y z)))) (= x y))))) (let ((_let_5456 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ tptp.set_o Bool)|) (e |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ tptp.set_o Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_14182 v ii) (ite (= i ii) e (ho_14182 u ii)))))))))) (let ((_let_5457 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ tptp.set_o Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ tptp.set_o Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_14182 x z) (ho_14182 y z)))) (= x y))))) (let ((_let_5458 (forall ((u |u_(-> tptp.set_nat_o tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_nat_o)) (not (forall ((v |u_(-> tptp.set_nat_o tptp.set_set_nat)|)) (not (forall ((ii tptp.set_nat_o)) (= (ho_6185 v ii) (ite (= i ii) e (ho_6185 u ii)))))))))) (let ((_let_5459 (forall ((x |u_(-> tptp.set_nat_o tptp.set_set_nat)|) (y |u_(-> tptp.set_nat_o tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_nat_o)) (= (ho_6185 x z) (ho_6185 y z)))) (= x y))))) (let ((_let_5460 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat tptp.set_Product_unit)|) (e |u_(-> tptp.set_rat tptp.set_Product_unit)|) (i |u_(-> tptp.rat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_unit)|)) (= (ho_15009 v ii) (ite (= i ii) e (ho_15009 u ii)))))))))) (let ((_let_5461 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.rat tptp.product_unit)_ tptp.set_rat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_unit)|)) (= (ho_15009 x z) (ho_15009 y z)))) (= x y))))) (let ((_let_5462 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7125 v ii) (ite (= i ii) e (ho_7125 u ii)))))))))) (let ((_let_5463 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7125 x z) (ho_7125 y z)))) (= x y))))) (let ((_let_5464 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14904 v ii) (ite (= i ii) e (ho_14904 u ii)))))))))) (let ((_let_5465 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.set_Pr4334478416066269672t_unit)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14904 x z) (ho_14904 y z)))) (= x y))))) (let ((_let_5466 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7110 v ii) (ite (= i ii) e (ho_7110 u ii)))))))))) (let ((_let_5467 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7110 x z) (ho_7110 y z)))) (= x y))))) (let ((_let_5468 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_7111 v ii) (ite (= i ii) e (ho_7111 u ii)))))))))) (let ((_let_5469 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_7111 x z) (ho_7111 y z)))) (= x y))))) (let ((_let_5470 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_12829 v ii) (ite (= i ii) e (ho_12829 u ii)))))))))) (let ((_let_5471 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (= (ho_12829 x z) (ho_12829 y z)))) (= x y))))) (let ((_let_5472 (forall ((u |u_(-> tptp.nat Bool tptp.nat Bool)|) (e |u_(-> Bool tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7072 v ii) (ite (= i ii) e (ho_7072 u ii)))))))))) (let ((_let_5473 (forall ((x |u_(-> tptp.nat Bool tptp.nat Bool)|) (y |u_(-> tptp.nat Bool tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7072 x z) (ho_7072 y z)))) (= x y))))) (let ((_let_5474 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13506 v ii) (ite (= i ii) e (ho_13506 u ii)))))))))) (let ((_let_5475 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13506 x z) (ho_13506 y z)))) (= x y))))) (let ((_let_5476 (forall ((u |u_(-> tptp.num tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat tptp.num)|)) (not (forall ((ii tptp.num)) (= (ho_7326 v ii) (ite (= i ii) e (ho_7326 u ii)))))))))) (let ((_let_5477 (forall ((x |u_(-> tptp.num tptp.nat tptp.num)|) (y |u_(-> tptp.num tptp.nat tptp.num)|)) (or (not (forall ((z tptp.num)) (= (ho_7326 x z) (ho_7326 y z)))) (= x y))))) (let ((_let_5478 (forall ((u |u_(-> tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_5229 v ii) (ite (= i ii) e (ho_5229 u ii)))))))))) (let ((_let_5479 (forall ((x |u_(-> tptp.set_int tptp.int Bool)|) (y |u_(-> tptp.set_int tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5229 x z) (ho_5229 y z)))) (= x y))))) (let ((_let_5480 (forall ((u |u_(-> tptp.nat tptp.product_prod_int_nat)|) (e tptp.product_prod_int_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7383 v ii) (ite (= i ii) e (ho_7383 u ii)))))))))) (let ((_let_5481 (forall ((x |u_(-> tptp.nat tptp.product_prod_int_nat)|) (y |u_(-> tptp.nat tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7383 x z) (ho_7383 y z)))) (= x y))))) (let ((_let_5482 (forall ((u |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr5464989305201766866unit_o)) (not (forall ((v |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr5464989305201766866unit_o)) (= (ho_14929 v ii) (ite (= i ii) e (ho_14929 u ii)))))))))) (let ((_let_5483 (forall ((x |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr5464989305201766866unit_o)) (= (ho_14929 x z) (ho_14929 y z)))) (= x y))))) (let ((_let_5484 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_8744 v ii) (ite (= i ii) e (ho_8744 u ii)))))))))) (let ((_let_5485 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_8744 x z) (ho_8744 y z)))) (= x y))))) (let ((_let_5486 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14282 v ii) (ite (= i ii) e (ho_14282 u ii)))))))))) (let ((_let_5487 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14282 x z) (ho_14282 y z)))) (= x y))))) (let ((_let_5488 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_6245 v ii) (ite (= i ii) e (ho_6245 u ii)))))))))) (let ((_let_5489 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_6245 x z) (ho_6245 y z)))) (= x y))))) (let ((_let_5490 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.nat tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7061 v ii) (ite (= i ii) e (ho_7061 u ii)))))))))) (let ((_let_5491 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7061 x z) (ho_7061 y z)))) (= x y))))) (let ((_let_5492 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7994 v ii) (ite (= i ii) e (ho_7994 u ii)))))))))) (let ((_let_5493 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7994 x z) (ho_7994 y z)))) (= x y))))) (let ((_let_5494 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|) (e tptp.set_Pr7459493094073627847at_nat) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_13464 v ii) (ite (= i ii) e (ho_13464 u ii)))))))))) (let ((_let_5495 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_13464 x z) (ho_13464 y z)))) (= x y))))) (let ((_let_5496 (forall ((u |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_5373 v ii) (ite (= i ii) e (ho_5373 u ii)))))))))) (let ((_let_5497 (forall ((x |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_5373 x z) (ho_5373 y z)))) (= x y))))) (let ((_let_5498 (forall ((u |u_(-> tptp.product_unit tptp.rat)|) (e tptp.rat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.rat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7189 v ii) (ite (= i ii) e (ho_7189 u ii)))))))))) (let ((_let_5499 (forall ((x |u_(-> tptp.product_unit tptp.rat)|) (y |u_(-> tptp.product_unit tptp.rat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7189 x z) (ho_7189 y z)))) (= x y))))) (let ((_let_5500 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.produc8373899037510109440at_nat Bool)|) (e |u_(-> tptp.produc8373899037510109440at_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.produc8373899037510109440at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_14588 v ii) (ite (= i ii) e (ho_14588 u ii)))))))))) (let ((_let_5501 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.produc8373899037510109440at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.produc8373899037510109440at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_14588 x z) (ho_14588 y z)))) (= x y))))) (let ((_let_5502 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.product_unit tptp.set_o)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_13883 v ii) (ite (= i ii) e (ho_13883 u ii)))))))))) (let ((_let_5503 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_13883 x z) (ho_13883 y z)))) (= x y))))) (let ((_let_5504 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7293 v ii) (ite (= i ii) e (ho_7293 u ii)))))))))) (let ((_let_5505 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7293 x z) (ho_7293 y z)))) (= x y))))) (let ((_let_5506 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_10912 v ii) (ite (= i ii) e (ho_10912 u ii)))))))))) (let ((_let_5507 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_10912 x z) (ho_10912 y z)))) (= x y))))) (let ((_let_5508 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_7040 v ii) (ite (= i ii) e (ho_7040 u ii)))))))))) (let ((_let_5509 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_7040 x z) (ho_7040 y z)))) (= x y))))) (let ((_let_5510 (forall ((u |u_(-> _u_(-> tptp.nat tptp.list_nat)_ tptp.set_nat tptp.set_list_nat)|) (e |u_(-> tptp.set_nat tptp.set_list_nat)|) (i |u_(-> tptp.nat tptp.list_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.list_nat)_ tptp.set_nat tptp.set_list_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.list_nat)|)) (= (ho_10435 v ii) (ite (= i ii) e (ho_10435 u ii)))))))))) (let ((_let_5511 (forall ((x |u_(-> _u_(-> tptp.nat tptp.list_nat)_ tptp.set_nat tptp.set_list_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.list_nat)_ tptp.set_nat tptp.set_list_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.list_nat)|)) (= (ho_10435 x z) (ho_10435 y z)))) (= x y))))) (let ((_let_5512 (forall ((u |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|)) (= (ho_13095 v ii) (ite (= i ii) e (ho_13095 u ii)))))))))) (let ((_let_5513 (forall ((x |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)|)) (= (ho_13095 x z) (ho_13095 y z)))) (= x y))))) (let ((_let_5514 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|) (i |u_(-> tptp.ref_a tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12489 v ii) (ite (= i ii) e (ho_12489 u ii)))))))))) (let ((_let_5515 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.int)|)) (= (ho_12489 x z) (ho_12489 y z)))) (= x y))))) (let ((_let_5516 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10171 v ii) (ite (= i ii) e (ho_10171 u ii)))))))))) (let ((_let_5517 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10171 x z) (ho_10171 y z)))) (= x y))))) (let ((_let_5518 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7013 v ii) (ite (= i ii) e (ho_7013 u ii)))))))))) (let ((_let_5519 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7013 x z) (ho_7013 y z)))) (= x y))))) (let ((_let_5520 (forall ((u |u_(-> tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5712 v ii) (ite (= i ii) e (ho_5712 u ii)))))))))) (let ((_let_5521 (forall ((x |u_(-> tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5712 x z) (ho_5712 y z)))) (= x y))))) (let ((_let_5522 (forall ((u |u_(-> tptp.num tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.num)) (= (ho_10142 v ii) (ite (= i ii) e (ho_10142 u ii)))))))))) (let ((_let_5523 (forall ((x |u_(-> tptp.num tptp.nat tptp.num Bool)|) (y |u_(-> tptp.num tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_10142 x z) (ho_10142 y z)))) (= x y))))) (let ((_let_5524 (forall ((u |u_(-> tptp.set_int tptp.nat)|) (e tptp.nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15888 v ii) (ite (= i ii) e (ho_15888 u ii)))))))))) (let ((_let_5525 (forall ((x |u_(-> tptp.set_int tptp.nat)|) (y |u_(-> tptp.set_int tptp.nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15888 x z) (ho_15888 y z)))) (= x y))))) (let ((_let_5526 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (= (ho_11430 v ii) (ite (= i ii) e (ho_11430 u ii)))))))))) (let ((_let_5527 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (= (ho_11430 x z) (ho_11430 y z)))) (= x y))))) (let ((_let_5528 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_9877 v ii) (ite (= i ii) e (ho_9877 u ii)))))))))) (let ((_let_5529 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_9877 x z) (ho_9877 y z)))) (= x y))))) (let ((_let_5530 (forall ((u |u_(-> _u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)_ tptp.set_num tptp.set_se4826145725398303499at_num)|) (e |u_(-> tptp.set_num tptp.set_se4826145725398303499at_num)|) (i |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)_ tptp.set_num tptp.set_se4826145725398303499at_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|)) (= (ho_6979 v ii) (ite (= i ii) e (ho_6979 u ii)))))))))) (let ((_let_5531 (forall ((x |u_(-> _u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)_ tptp.set_num tptp.set_se4826145725398303499at_num)|) (y |u_(-> _u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)_ tptp.set_num tptp.set_se4826145725398303499at_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|)) (= (ho_6979 x z) (ho_6979 y z)))) (= x y))))) (let ((_let_5532 (forall ((u |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (e tptp.set_Product_prod_o_o) (i tptp.set_Product_prod_o_o)) (not (forall ((v |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|)) (not (forall ((ii tptp.set_Product_prod_o_o)) (= (ho_15085 v ii) (ite (= i ii) e (ho_15085 u ii)))))))))) (let ((_let_5533 (forall ((x |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|) (y |u_(-> tptp.set_Product_prod_o_o tptp.set_Product_prod_o_o)|)) (or (not (forall ((z tptp.set_Product_prod_o_o)) (= (ho_15085 x z) (ho_15085 y z)))) (= x y))))) (let ((_let_5534 (forall ((u |u_(-> tptp.nat tptp.set_num)|) (e tptp.set_num) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_num)|)) (not (forall ((ii tptp.nat)) (= (ho_6977 v ii) (ite (= i ii) e (ho_6977 u ii)))))))))) (let ((_let_5535 (forall ((x |u_(-> tptp.nat tptp.set_num)|) (y |u_(-> tptp.nat tptp.set_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_6977 x z) (ho_6977 y z)))) (= x y))))) (let ((_let_5536 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7655 v ii) (ite (= i ii) e (ho_7655 u ii)))))))))) (let ((_let_5537 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7655 x z) (ho_7655 y z)))) (= x y))))) (let ((_let_5538 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6973 v ii) (ite (= i ii) e (ho_6973 u ii)))))))))) (let ((_let_5539 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6973 x z) (ho_6973 y z)))) (= x y))))) (let ((_let_5540 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o tptp.set_char)|) (e |u_(-> tptp.set_o tptp.set_char)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o tptp.set_char)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_7221 v ii) (ite (= i ii) e (ho_7221 u ii)))))))))) (let ((_let_5541 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o tptp.set_char)|) (y |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o tptp.set_char)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_7221 x z) (ho_7221 y z)))) (= x y))))) (let ((_let_5542 (forall ((u |u_(-> tptp.set_o_o Bool)|) (e Bool) (i tptp.set_o_o)) (not (forall ((v |u_(-> tptp.set_o_o Bool)|)) (not (forall ((ii tptp.set_o_o)) (= (ho_15467 v ii) (ite (= i ii) e (ho_15467 u ii)))))))))) (let ((_let_5543 (forall ((x |u_(-> tptp.set_o_o Bool)|) (y |u_(-> tptp.set_o_o Bool)|)) (or (not (forall ((z tptp.set_o_o)) (= (ho_15467 x z) (ho_15467 y z)))) (= x y))))) (let ((_let_5544 (forall ((u |u_(-> Bool tptp.set_o tptp.set_o Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_o Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.set_o Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_7486 v ii) (ite (= i ii) e (ho_7486 u ii)))))))))) (let ((_let_5545 (forall ((x |u_(-> Bool tptp.set_o tptp.set_o Bool Bool)|) (y |u_(-> Bool tptp.set_o tptp.set_o Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_7486 x z) (ho_7486 y z)))) (= x y))))) (let ((_let_5546 (forall ((u |u_(-> _u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_15363 v ii) (ite (= i ii) e (ho_15363 u ii)))))))))) (let ((_let_5547 (forall ((x |u_(-> _u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_15363 x z) (ho_15363 y z)))) (= x y))))) (let ((_let_5548 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11412 v ii) (ite (= i ii) e (ho_11412 u ii)))))))))) (let ((_let_5549 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11412 x z) (ho_11412 y z)))) (= x y))))) (let ((_let_5550 (forall ((u |u_(-> tptp.set_o tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_5502 v ii) (ite (= i ii) e (ho_5502 u ii)))))))))) (let ((_let_5551 (forall ((x |u_(-> tptp.set_o tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_o tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5502 x z) (ho_5502 y z)))) (= x y))))) (let ((_let_5552 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|) (e |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9562 v ii) (ite (= i ii) e (ho_9562 u ii)))))))))) (let ((_let_5553 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9562 x z) (ho_9562 y z)))) (= x y))))) (let ((_let_5554 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6971 v ii) (ite (= i ii) e (ho_6971 u ii)))))))))) (let ((_let_5555 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6971 x z) (ho_6971 y z)))) (= x y))))) (let ((_let_5556 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_6967 v ii) (ite (= i ii) e (ho_6967 u ii)))))))))) (let ((_let_5557 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_6967 x z) (ho_6967 y z)))) (= x y))))) (let ((_let_5558 (forall ((u |u_(-> tptp.int tptp.nat tptp.int tptp.nat)|) (e |u_(-> tptp.nat tptp.int tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.int tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_7066 v ii) (ite (= i ii) e (ho_7066 u ii)))))))))) (let ((_let_5559 (forall ((x |u_(-> tptp.int tptp.nat tptp.int tptp.nat)|) (y |u_(-> tptp.int tptp.nat tptp.int tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_7066 x z) (ho_7066 y z)))) (= x y))))) (let ((_let_5560 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12761 v ii) (ite (= i ii) e (ho_12761 u ii)))))))))) (let ((_let_5561 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12761 x z) (ho_12761 y z)))) (= x y))))) (let ((_let_5562 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_7006 v ii) (ite (= i ii) e (ho_7006 u ii)))))))))) (let ((_let_5563 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_7006 x z) (ho_7006 y z)))) (= x y))))) (let ((_let_5564 (forall ((u |u_(-> tptp.set_nat tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.int tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7394 v ii) (ite (= i ii) e (ho_7394 u ii)))))))))) (let ((_let_5565 (forall ((x |u_(-> tptp.set_nat tptp.int tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.int tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7394 x z) (ho_7394 y z)))) (= x y))))) (let ((_let_5566 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_8371 v ii) (ite (= i ii) e (ho_8371 u ii)))))))))) (let ((_let_5567 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_8371 x z) (ho_8371 y z)))) (= x y))))) (let ((_let_5568 (forall ((u |u_(-> tptp.set_set_nat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_6952 v ii) (ite (= i ii) e (ho_6952 u ii)))))))))) (let ((_let_5569 (forall ((x |u_(-> tptp.set_set_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_set_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_6952 x z) (ho_6952 y z)))) (= x y))))) (let ((_let_5570 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5051 v ii) (ite (= i ii) e (ho_5051 u ii)))))))))) (let ((_let_5571 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5051 x z) (ho_5051 y z)))) (= x y))))) (let ((_let_5572 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4634 v ii) (ite (= i ii) e (ho_4634 u ii)))))))))) (let ((_let_5573 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4634 x z) (ho_4634 y z)))) (= x y))))) (let ((_let_5574 (forall ((u |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii Bool)) (= (ho_5499 v ii) (ite (= i ii) e (ho_5499 u ii)))))))))) (let ((_let_5575 (forall ((x |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z Bool)) (= (ho_5499 x z) (ho_5499 y z)))) (= x y))))) (let ((_let_5576 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|) (e |u_(-> tptp.nat tptp.product_prod_rat_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7437 v ii) (ite (= i ii) e (ho_7437 u ii)))))))))) (let ((_let_5577 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7437 x z) (ho_7437 y z)))) (= x y))))) (let ((_let_5578 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_6938 v ii) (ite (= i ii) e (ho_6938 u ii)))))))))) (let ((_let_5579 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_6938 x z) (ho_6938 y z)))) (= x y))))) (let ((_let_5580 (forall ((u |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr1763845938948868674it_nat)) (not (forall ((v |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr1763845938948868674it_nat)) (= (ho_14937 v ii) (ite (= i ii) e (ho_14937 u ii)))))))))) (let ((_let_5581 (forall ((x |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr1763845938948868674it_nat)) (= (ho_14937 x z) (ho_14937 y z)))) (= x y))))) (let ((_let_5582 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.int tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7046 v ii) (ite (= i ii) e (ho_7046 u ii)))))))))) (let ((_let_5583 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7046 x z) (ho_7046 y z)))) (= x y))))) (let ((_let_5584 (forall ((u |u_(-> tptp.rat tptp.int tptp.product_prod_rat_int)|) (e |u_(-> tptp.int tptp.product_prod_rat_int)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.int tptp.product_prod_rat_int)|)) (not (forall ((ii tptp.rat)) (= (ho_7412 v ii) (ite (= i ii) e (ho_7412 u ii)))))))))) (let ((_let_5585 (forall ((x |u_(-> tptp.rat tptp.int tptp.product_prod_rat_int)|) (y |u_(-> tptp.rat tptp.int tptp.product_prod_rat_int)|)) (or (not (forall ((z tptp.rat)) (= (ho_7412 x z) (ho_7412 y z)))) (= x y))))) (let ((_let_5586 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6935 v ii) (ite (= i ii) e (ho_6935 u ii)))))))))) (let ((_let_5587 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6935 x z) (ho_6935 y z)))) (= x y))))) (let ((_let_5588 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6931 v ii) (ite (= i ii) e (ho_6931 u ii)))))))))) (let ((_let_5589 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6931 x z) (ho_6931 y z)))) (= x y))))) (let ((_let_5590 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|) (e |u_(-> tptp.set_set_nat tptp.set_int)|) (i |u_(-> tptp.set_set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15116 v ii) (ite (= i ii) e (ho_15116 u ii)))))))))) (let ((_let_5591 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15116 x z) (ho_15116 y z)))) (= x y))))) (let ((_let_5592 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6932 v ii) (ite (= i ii) e (ho_6932 u ii)))))))))) (let ((_let_5593 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6932 x z) (ho_6932 y z)))) (= x y))))) (let ((_let_5594 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.int tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.int tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_9987 v ii) (ite (= i ii) e (ho_9987 u ii)))))))))) (let ((_let_5595 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_9987 x z) (ho_9987 y z)))) (= x y))))) (let ((_let_5596 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7845 v ii) (ite (= i ii) e (ho_7845 u ii)))))))))) (let ((_let_5597 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7845 x z) (ho_7845 y z)))) (= x y))))) (let ((_let_5598 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|) (e tptp.set_Pr4811707699266497531nteger) (i |u_(-> tptp.code_integer tptp.set_Code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.set_Code_integer)|)) (= (ho_15238 v ii) (ite (= i ii) e (ho_15238 u ii)))))))))) (let ((_let_5599 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.set_Code_integer)|)) (= (ho_15238 x z) (ho_15238 y z)))) (= x y))))) (let ((_let_5600 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_10385 v ii) (ite (= i ii) e (ho_10385 u ii)))))))))) (let ((_let_5601 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10385 x z) (ho_10385 y z)))) (= x y))))) (let ((_let_5602 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11377 v ii) (ite (= i ii) e (ho_11377 u ii)))))))))) (let ((_let_5603 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11377 x z) (ho_11377 y z)))) (= x y))))) (let ((_let_5604 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6929 v ii) (ite (= i ii) e (ho_6929 u ii)))))))))) (let ((_let_5605 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6929 x z) (ho_6929 y z)))) (= x y))))) (let ((_let_5606 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14780 v ii) (ite (= i ii) e (ho_14780 u ii)))))))))) (let ((_let_5607 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14780 x z) (ho_14780 y z)))) (= x y))))) (let ((_let_5608 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_9598 v ii) (ite (= i ii) e (ho_9598 u ii)))))))))) (let ((_let_5609 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_9598 x z) (ho_9598 y z)))) (= x y))))) (let ((_let_5610 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4850 v ii) (ite (= i ii) e (ho_4850 u ii)))))))))) (let ((_let_5611 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4850 x z) (ho_4850 y z)))) (= x y))))) (let ((_let_5612 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6925 v ii) (ite (= i ii) e (ho_6925 u ii)))))))))) (let ((_let_5613 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6925 x z) (ho_6925 y z)))) (= x y))))) (let ((_let_5614 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_6923 v ii) (ite (= i ii) e (ho_6923 u ii)))))))))) (let ((_let_5615 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_6923 x z) (ho_6923 y z)))) (= x y))))) (let ((_let_5616 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool Bool)|) (e |u_(-> Bool Bool Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_6843 v ii) (ite (= i ii) e (ho_6843 u ii)))))))))) (let ((_let_5617 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_6843 x z) (ho_6843 y z)))) (= x y))))) (let ((_let_5618 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6163 v ii) (ite (= i ii) e (ho_6163 u ii)))))))))) (let ((_let_5619 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (y |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6163 x z) (ho_6163 y z)))) (= x y))))) (let ((_let_5620 (forall ((u |u_(-> tptp.int tptp.product_unit)|) (e tptp.product_unit) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((ii tptp.int)) (= (ho_6916 v ii) (ite (= i ii) e (ho_6916 u ii)))))))))) (let ((_let_5621 (forall ((x |u_(-> tptp.int tptp.product_unit)|) (y |u_(-> tptp.int tptp.product_unit)|)) (or (not (forall ((z tptp.int)) (= (ho_6916 x z) (ho_6916 y z)))) (= x y))))) (let ((_let_5622 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (= (ho_12632 v ii) (ite (= i ii) e (ho_12632 u ii)))))))))) (let ((_let_5623 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (= (ho_12632 x z) (ho_12632 y z)))) (= x y))))) (let ((_let_5624 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6914 v ii) (ite (= i ii) e (ho_6914 u ii)))))))))) (let ((_let_5625 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6914 x z) (ho_6914 y z)))) (= x y))))) (let ((_let_5626 (forall ((u |u_(-> tptp.num tptp.set_nat)|) (e tptp.set_nat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_nat)|)) (not (forall ((ii tptp.num)) (= (ho_10024 v ii) (ite (= i ii) e (ho_10024 u ii)))))))))) (let ((_let_5627 (forall ((x |u_(-> tptp.num tptp.set_nat)|) (y |u_(-> tptp.num tptp.set_nat)|)) (or (not (forall ((z tptp.num)) (= (ho_10024 x z) (ho_10024 y z)))) (= x y))))) (let ((_let_5628 (forall ((u |u_(-> tptp.product_unit tptp.product_unit)|) (e tptp.product_unit) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_6912 v ii) (ite (= i ii) e (ho_6912 u ii)))))))))) (let ((_let_5629 (forall ((x |u_(-> tptp.product_unit tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_6912 x z) (ho_6912 y z)))) (= x y))))) (let ((_let_5630 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_8456 v ii) (ite (= i ii) e (ho_8456 u ii)))))))))) (let ((_let_5631 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_8456 x z) (ho_8456 y z)))) (= x y))))) (let ((_let_5632 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12835 v ii) (ite (= i ii) e (ho_12835 u ii)))))))))) (let ((_let_5633 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12835 x z) (ho_12835 y z)))) (= x y))))) (let ((_let_5634 (forall ((u |u_(-> tptp.nat tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7067 v ii) (ite (= i ii) e (ho_7067 u ii)))))))))) (let ((_let_5635 (forall ((x |u_(-> tptp.nat tptp.int tptp.nat)|) (y |u_(-> tptp.nat tptp.int tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7067 x z) (ho_7067 y z)))) (= x y))))) (let ((_let_5636 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_6911 v ii) (ite (= i ii) e (ho_6911 u ii)))))))))) (let ((_let_5637 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_6911 x z) (ho_6911 y z)))) (= x y))))) (let ((_let_5638 (forall ((u |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.nat)_ tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|) (i |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.nat)_ tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|)) (= (ho_14887 v ii) (ite (= i ii) e (ho_14887 u ii)))))))))) (let ((_let_5639 (forall ((x |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.nat)_ tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc600557818389255820it_nat tptp.nat)_ tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc600557818389255820it_nat tptp.nat)|)) (= (ho_14887 x z) (ho_14887 y z)))) (= x y))))) (let ((_let_5640 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4761 v ii) (ite (= i ii) e (ho_4761 u ii)))))))))) (let ((_let_5641 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4761 x z) (ho_4761 y z)))) (= x y))))) (let ((_let_5642 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8852 v ii) (ite (= i ii) e (ho_8852 u ii)))))))))) (let ((_let_5643 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8852 x z) (ho_8852 y z)))) (= x y))))) (let ((_let_5644 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6906 v ii) (ite (= i ii) e (ho_6906 u ii)))))))))) (let ((_let_5645 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6906 x z) (ho_6906 y z)))) (= x y))))) (let ((_let_5646 (forall ((u |u_(-> tptp.product_unit tptp.nat)|) (e tptp.nat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_6904 v ii) (ite (= i ii) e (ho_6904 u ii)))))))))) (let ((_let_5647 (forall ((x |u_(-> tptp.product_unit tptp.nat)|) (y |u_(-> tptp.product_unit tptp.nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_6904 x z) (ho_6904 y z)))) (= x y))))) (let ((_let_5648 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10065 v ii) (ite (= i ii) e (ho_10065 u ii)))))))))) (let ((_let_5649 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10065 x z) (ho_10065 y z)))) (= x y))))) (let ((_let_5650 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|) (e |u_(-> tptp.int tptp.num Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_13916 v ii) (ite (= i ii) e (ho_13916 u ii)))))))))) (let ((_let_5651 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_13916 x z) (ho_13916 y z)))) (= x y))))) (let ((_let_5652 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7171 v ii) (ite (= i ii) e (ho_7171 u ii)))))))))) (let ((_let_5653 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7171 x z) (ho_7171 y z)))) (= x y))))) (let ((_let_5654 (forall ((u |u_(-> tptp.nat tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_8911 v ii) (ite (= i ii) e (ho_8911 u ii)))))))))) (let ((_let_5655 (forall ((x |u_(-> tptp.nat tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> tptp.nat tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_8911 x z) (ho_8911 y z)))) (= x y))))) (let ((_let_5656 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.nat tptp.nat Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_6902 v ii) (ite (= i ii) e (ho_6902 u ii)))))))))) (let ((_let_5657 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_6902 x z) (ho_6902 y z)))) (= x y))))) (let ((_let_5658 (forall ((u |u_(-> tptp.set_nat tptp.nat)|) (e tptp.nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7140 v ii) (ite (= i ii) e (ho_7140 u ii)))))))))) (let ((_let_5659 (forall ((x |u_(-> tptp.set_nat tptp.nat)|) (y |u_(-> tptp.set_nat tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7140 x z) (ho_7140 y z)))) (= x y))))) (let ((_let_5660 (forall ((u |u_(-> tptp.set_o tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_6903 v ii) (ite (= i ii) e (ho_6903 u ii)))))))))) (let ((_let_5661 (forall ((x |u_(-> tptp.set_o tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_o tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6903 x z) (ho_6903 y z)))) (= x y))))) (let ((_let_5662 (forall ((u |u_(-> tptp.set_char tptp.set_nat tptp.set_char_nat)|) (e |u_(-> tptp.set_nat tptp.set_char_nat)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_nat tptp.set_char_nat)|)) (not (forall ((ii tptp.set_char)) (= (ho_15491 v ii) (ite (= i ii) e (ho_15491 u ii)))))))))) (let ((_let_5663 (forall ((x |u_(-> tptp.set_char tptp.set_nat tptp.set_char_nat)|) (y |u_(-> tptp.set_char tptp.set_nat tptp.set_char_nat)|)) (or (not (forall ((z tptp.set_char)) (= (ho_15491 x z) (ho_15491 y z)))) (= x y))))) (let ((_let_5664 (forall ((u |u_(-> tptp.set_int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_6897 v ii) (ite (= i ii) e (ho_6897 u ii)))))))))) (let ((_let_5665 (forall ((x |u_(-> tptp.set_int tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6897 x z) (ho_6897 y z)))) (= x y))))) (let ((_let_5666 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_6965 v ii) (ite (= i ii) e (ho_6965 u ii)))))))))) (let ((_let_5667 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_6965 x z) (ho_6965 y z)))) (= x y))))) (let ((_let_5668 (forall ((u |u_(-> tptp.set_int tptp.int)|) (e tptp.int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6891 v ii) (ite (= i ii) e (ho_6891 u ii)))))))))) (let ((_let_5669 (forall ((x |u_(-> tptp.set_int tptp.int)|) (y |u_(-> tptp.set_int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6891 x z) (ho_6891 y z)))) (= x y))))) (let ((_let_5670 (forall ((u |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|) (e tptp.set_Pr3309569728657787619r_char) (i tptp.set_Pr1413074515586503650ar_nat)) (not (forall ((v |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii tptp.set_Pr1413074515586503650ar_nat)) (= (ho_13452 v ii) (ite (= i ii) e (ho_13452 u ii)))))))))) (let ((_let_5671 (forall ((x |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z tptp.set_Pr1413074515586503650ar_nat)) (= (ho_13452 x z) (ho_13452 y z)))) (= x y))))) (let ((_let_5672 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_6887 v ii) (ite (= i ii) e (ho_6887 u ii)))))))))) (let ((_let_5673 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_6887 x z) (ho_6887 y z)))) (= x y))))) (let ((_let_5674 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11394 v ii) (ite (= i ii) e (ho_11394 u ii)))))))))) (let ((_let_5675 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11394 x z) (ho_11394 y z)))) (= x y))))) (let ((_let_5676 (forall ((u |u_(-> tptp.set_o Bool tptp.rat Bool)|) (e |u_(-> Bool tptp.rat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.rat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7187 v ii) (ite (= i ii) e (ho_7187 u ii)))))))))) (let ((_let_5677 (forall ((x |u_(-> tptp.set_o Bool tptp.rat Bool)|) (y |u_(-> tptp.set_o Bool tptp.rat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7187 x z) (ho_7187 y z)))) (= x y))))) (let ((_let_5678 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6833 v ii) (ite (= i ii) e (ho_6833 u ii)))))))))) (let ((_let_5679 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6833 x z) (ho_6833 y z)))) (= x y))))) (let ((_let_5680 (forall ((u |u_(-> Bool tptp.rat Bool)|) (e |u_(-> tptp.rat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.rat Bool)|)) (not (forall ((ii Bool)) (= (ho_7188 v ii) (ite (= i ii) e (ho_7188 u ii)))))))))) (let ((_let_5681 (forall ((x |u_(-> Bool tptp.rat Bool)|) (y |u_(-> Bool tptp.rat Bool)|)) (or (not (forall ((z Bool)) (= (ho_7188 x z) (ho_7188 y z)))) (= x y))))) (let ((_let_5682 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_int tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6867 v ii) (ite (= i ii) e (ho_6867 u ii)))))))))) (let ((_let_5683 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6867 x z) (ho_6867 y z)))) (= x y))))) (let ((_let_5684 (forall ((u |u_(-> tptp.int tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.num Bool)|)) (not (forall ((ii tptp.int)) (= (ho_16057 v ii) (ite (= i ii) e (ho_16057 u ii)))))))))) (let ((_let_5685 (forall ((x |u_(-> tptp.int tptp.num Bool)|) (y |u_(-> tptp.int tptp.num Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_16057 x z) (ho_16057 y z)))) (= x y))))) (let ((_let_5686 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5028 v ii) (ite (= i ii) e (ho_5028 u ii)))))))))) (let ((_let_5687 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5028 x z) (ho_5028 y z)))) (= x y))))) (let ((_let_5688 (forall ((u |u_(-> tptp.set_int tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_6868 v ii) (ite (= i ii) e (ho_6868 u ii)))))))))) (let ((_let_5689 (forall ((x |u_(-> tptp.set_int tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_int tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6868 x z) (ho_6868 y z)))) (= x y))))) (let ((_let_5690 (forall ((u |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.int)) (= (ho_6862 v ii) (ite (= i ii) e (ho_6862 u ii)))))))))) (let ((_let_5691 (forall ((x |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_6862 x z) (ho_6862 y z)))) (= x y))))) (let ((_let_5692 (forall ((u |u_(-> _u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)_ tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|) (i |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)_ tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|)) (= (ho_14928 v ii) (ite (= i ii) e (ho_14928 u ii)))))))))) (let ((_let_5693 (forall ((x |u_(-> _u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)_ tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)_ tptp.set_Pr5464989305201766866unit_o tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7485711547916492274unit_o tptp.product_unit)|)) (= (ho_14928 x z) (ho_14928 y z)))) (= x y))))) (let ((_let_5694 (forall ((u |u_(-> tptp.set_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_6865 v ii) (ite (= i ii) e (ho_6865 u ii)))))))))) (let ((_let_5695 (forall ((x |u_(-> tptp.set_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6865 x z) (ho_6865 y z)))) (= x y))))) (let ((_let_5696 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (= (ho_6256 v ii) (ite (= i ii) e (ho_6256 u ii)))))))))) (let ((_let_5697 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_nat_nat_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (= (ho_6256 x z) (ho_6256 y z)))) (= x y))))) (let ((_let_5698 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_13106 v ii) (ite (= i ii) e (ho_13106 u ii)))))))))) (let ((_let_5699 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_13106 x z) (ho_13106 y z)))) (= x y))))) (let ((_let_5700 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10163 v ii) (ite (= i ii) e (ho_10163 u ii)))))))))) (let ((_let_5701 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10163 x z) (ho_10163 y z)))) (= x y))))) (let ((_let_5702 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14071 v ii) (ite (= i ii) e (ho_14071 u ii)))))))))) (let ((_let_5703 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14071 x z) (ho_14071 y z)))) (= x y))))) (let ((_let_5704 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15850 v ii) (ite (= i ii) e (ho_15850 u ii)))))))))) (let ((_let_5705 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15850 x z) (ho_15850 y z)))) (= x y))))) (let ((_let_5706 (forall ((u |u_(-> tptp.set_rat tptp.set_char)|) (e tptp.set_char) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_char)|)) (not (forall ((ii tptp.set_rat)) (= (ho_13378 v ii) (ite (= i ii) e (ho_13378 u ii)))))))))) (let ((_let_5707 (forall ((x |u_(-> tptp.set_rat tptp.set_char)|) (y |u_(-> tptp.set_rat tptp.set_char)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_13378 x z) (ho_13378 y z)))) (= x y))))) (let ((_let_5708 (forall ((u |u_(-> Bool tptp.nat)|) (e tptp.nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_6840 v ii) (ite (= i ii) e (ho_6840 u ii)))))))))) (let ((_let_5709 (forall ((x |u_(-> Bool tptp.nat)|) (y |u_(-> Bool tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_6840 x z) (ho_6840 y z)))) (= x y))))) (let ((_let_5710 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5099 v ii) (ite (= i ii) e (ho_5099 u ii)))))))))) (let ((_let_5711 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5099 x z) (ho_5099 y z)))) (= x y))))) (let ((_let_5712 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_5114 v ii) (ite (= i ii) e (ho_5114 u ii)))))))))) (let ((_let_5713 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_5114 x z) (ho_5114 y z)))) (= x y))))) (let ((_let_5714 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_16056 v ii) (ite (= i ii) e (ho_16056 u ii)))))))))) (let ((_let_5715 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_16056 x z) (ho_16056 y z)))) (= x y))))) (let ((_let_5716 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8250 v ii) (ite (= i ii) e (ho_8250 u ii)))))))))) (let ((_let_5717 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8250 x z) (ho_8250 y z)))) (= x y))))) (let ((_let_5718 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5125 v ii) (ite (= i ii) e (ho_5125 u ii)))))))))) (let ((_let_5719 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5125 x z) (ho_5125 y z)))) (= x y))))) (let ((_let_5720 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_6838 v ii) (ite (= i ii) e (ho_6838 u ii)))))))))) (let ((_let_5721 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6838 x z) (ho_6838 y z)))) (= x y))))) (let ((_let_5722 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int tptp.set_set_int)|) (e |u_(-> tptp.set_set_int tptp.set_set_int)|) (i |u_(-> tptp.set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int tptp.set_set_int)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_9242 v ii) (ite (= i ii) e (ho_9242 u ii)))))))))) (let ((_let_5723 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int tptp.set_set_int)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_int)_ tptp.set_set_int tptp.set_set_int)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_9242 x z) (ho_9242 y z)))) (= x y))))) (let ((_let_5724 (forall ((u |u_(-> tptp.product_unit tptp.nat tptp.product_unit)|) (e |u_(-> tptp.nat tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.nat tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9303 v ii) (ite (= i ii) e (ho_9303 u ii)))))))))) (let ((_let_5725 (forall ((x |u_(-> tptp.product_unit tptp.nat tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.nat tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9303 x z) (ho_9303 y z)))) (= x y))))) (let ((_let_5726 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.nat Bool)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_7593 v ii) (ite (= i ii) e (ho_7593 u ii)))))))))) (let ((_let_5727 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_7593 x z) (ho_7593 y z)))) (= x y))))) (let ((_let_5728 (forall ((u |u_(-> tptp.ref_a tptp.heap_Heap_a)|) (e tptp.heap_Heap_a) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_Heap_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12029 v ii) (ite (= i ii) e (ho_12029 u ii)))))))))) (let ((_let_5729 (forall ((x |u_(-> tptp.ref_a tptp.heap_Heap_a)|) (y |u_(-> tptp.ref_a tptp.heap_Heap_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12029 x z) (ho_12029 y z)))) (= x y))))) (let ((_let_5730 (forall ((u |u_(-> tptp.rat _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_8109 v ii) (ite (= i ii) e (ho_8109 u ii)))))))))) (let ((_let_5731 (forall ((x |u_(-> tptp.rat _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.rat _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_8109 x z) (ho_8109 y z)))) (= x y))))) (let ((_let_5732 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9788 v ii) (ite (= i ii) e (ho_9788 u ii)))))))))) (let ((_let_5733 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9788 x z) (ho_9788 y z)))) (= x y))))) (let ((_let_5734 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.set_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10166 v ii) (ite (= i ii) e (ho_10166 u ii)))))))))) (let ((_let_5735 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10166 x z) (ho_10166 y z)))) (= x y))))) (let ((_let_5736 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15801 v ii) (ite (= i ii) e (ho_15801 u ii)))))))))) (let ((_let_5737 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15801 x z) (ho_15801 y z)))) (= x y))))) (let ((_let_5738 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6835 v ii) (ite (= i ii) e (ho_6835 u ii)))))))))) (let ((_let_5739 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6835 x z) (ho_6835 y z)))) (= x y))))) (let ((_let_5740 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.nat)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12652 v ii) (ite (= i ii) e (ho_12652 u ii)))))))))) (let ((_let_5741 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12652 x z) (ho_12652 y z)))) (= x y))))) (let ((_let_5742 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_6836 v ii) (ite (= i ii) e (ho_6836 u ii)))))))))) (let ((_let_5743 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_6836 x z) (ho_6836 y z)))) (= x y))))) (let ((_let_5744 (forall ((u |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|) (e tptp.product_prod_num_o) (i tptp.product_prod_nat_o)) (not (forall ((v |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (not (forall ((ii tptp.product_prod_nat_o)) (= (ho_12610 v ii) (ite (= i ii) e (ho_12610 u ii)))))))))) (let ((_let_5745 (forall ((x |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|) (y |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (or (not (forall ((z tptp.product_prod_nat_o)) (= (ho_12610 x z) (ho_12610 y z)))) (= x y))))) (let ((_let_5746 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5672 v ii) (ite (= i ii) e (ho_5672 u ii)))))))))) (let ((_let_5747 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5672 x z) (ho_5672 y z)))) (= x y))))) (let ((_let_5748 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8641 v ii) (ite (= i ii) e (ho_8641 u ii)))))))))) (let ((_let_5749 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8641 x z) (ho_8641 y z)))) (= x y))))) (let ((_let_5750 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6832 v ii) (ite (= i ii) e (ho_6832 u ii)))))))))) (let ((_let_5751 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6832 x z) (ho_6832 y z)))) (= x y))))) (let ((_let_5752 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10935 v ii) (ite (= i ii) e (ho_10935 u ii)))))))))) (let ((_let_5753 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10935 x z) (ho_10935 y z)))) (= x y))))) (let ((_let_5754 (forall ((u |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i tptp.set_Co726186806682698383nteger)) (not (forall ((v |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii tptp.set_Co726186806682698383nteger)) (= (ho_14273 v ii) (ite (= i ii) e (ho_14273 u ii)))))))))) (let ((_let_5755 (forall ((x |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> tptp.set_Co726186806682698383nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z tptp.set_Co726186806682698383nteger)) (= (ho_14273 x z) (ho_14273 y z)))) (= x y))))) (let ((_let_5756 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11376 v ii) (ite (= i ii) e (ho_11376 u ii)))))))))) (let ((_let_5757 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11376 x z) (ho_11376 y z)))) (= x y))))) (let ((_let_5758 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_6827 v ii) (ite (= i ii) e (ho_6827 u ii)))))))))) (let ((_let_5759 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6827 x z) (ho_6827 y z)))) (= x y))))) (let ((_let_5760 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8618 v ii) (ite (= i ii) e (ho_8618 u ii)))))))))) (let ((_let_5761 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8618 x z) (ho_8618 y z)))) (= x y))))) (let ((_let_5762 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_6822 v ii) (ite (= i ii) e (ho_6822 u ii)))))))))) (let ((_let_5763 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_6822 x z) (ho_6822 y z)))) (= x y))))) (let ((_let_5764 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_6807 v ii) (ite (= i ii) e (ho_6807 u ii)))))))))) (let ((_let_5765 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_6807 x z) (ho_6807 y z)))) (= x y))))) (let ((_let_5766 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8294 v ii) (ite (= i ii) e (ho_8294 u ii)))))))))) (let ((_let_5767 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8294 x z) (ho_8294 y z)))) (= x y))))) (let ((_let_5768 (forall ((u |u_(-> tptp.rat tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.set_rat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_7174 v ii) (ite (= i ii) e (ho_7174 u ii)))))))))) (let ((_let_5769 (forall ((x |u_(-> tptp.rat tptp.set_rat Bool)|) (y |u_(-> tptp.rat tptp.set_rat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_7174 x z) (ho_7174 y z)))) (= x y))))) (let ((_let_5770 (forall ((u |u_(-> tptp.set_o tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_o Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_10406 v ii) (ite (= i ii) e (ho_10406 u ii)))))))))) (let ((_let_5771 (forall ((x |u_(-> tptp.set_o tptp.set_o Bool)|) (y |u_(-> tptp.set_o tptp.set_o Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_10406 x z) (ho_10406 y z)))) (= x y))))) (let ((_let_5772 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_6802 v ii) (ite (= i ii) e (ho_6802 u ii)))))))))) (let ((_let_5773 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_6802 x z) (ho_6802 y z)))) (= x y))))) (let ((_let_5774 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12746 v ii) (ite (= i ii) e (ho_12746 u ii)))))))))) (let ((_let_5775 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12746 x z) (ho_12746 y z)))) (= x y))))) (let ((_let_5776 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (e tptp.produc4196048018000912732at_int) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12254 v ii) (ite (= i ii) e (ho_12254 u ii)))))))))) (let ((_let_5777 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12254 x z) (ho_12254 y z)))) (= x y))))) (let ((_let_5778 (forall ((u |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_6407 v ii) (ite (= i ii) e (ho_6407 u ii)))))))))) (let ((_let_5779 (forall ((x |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (y |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_6407 x z) (ho_6407 y z)))) (= x y))))) (let ((_let_5780 (forall ((u |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (= (ho_14145 v ii) (ite (= i ii) e (ho_14145 u ii)))))))))) (let ((_let_5781 (forall ((x |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (= (ho_14145 x z) (ho_14145 y z)))) (= x y))))) (let ((_let_5782 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8654 v ii) (ite (= i ii) e (ho_8654 u ii)))))))))) (let ((_let_5783 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8654 x z) (ho_8654 y z)))) (= x y))))) (let ((_let_5784 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_6111 v ii) (ite (= i ii) e (ho_6111 u ii)))))))))) (let ((_let_5785 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_6111 x z) (ho_6111 y z)))) (= x y))))) (let ((_let_5786 (forall ((u |u_(-> tptp.int tptp.int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int tptp.int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.int tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_7051 v ii) (ite (= i ii) e (ho_7051 u ii)))))))))) (let ((_let_5787 (forall ((x |u_(-> tptp.int tptp.int tptp.int tptp.int)|) (y |u_(-> tptp.int tptp.int tptp.int tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_7051 x z) (ho_7051 y z)))) (= x y))))) (let ((_let_5788 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6796 v ii) (ite (= i ii) e (ho_6796 u ii)))))))))) (let ((_let_5789 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6796 x z) (ho_6796 y z)))) (= x y))))) (let ((_let_5790 (forall ((u |u_(-> tptp.product_prod_o_int Bool)|) (e Bool) (i tptp.product_prod_o_int)) (not (forall ((v |u_(-> tptp.product_prod_o_int Bool)|)) (not (forall ((ii tptp.product_prod_o_int)) (= (ho_14647 v ii) (ite (= i ii) e (ho_14647 u ii)))))))))) (let ((_let_5791 (forall ((x |u_(-> tptp.product_prod_o_int Bool)|) (y |u_(-> tptp.product_prod_o_int Bool)|)) (or (not (forall ((z tptp.product_prod_o_int)) (= (ho_14647 x z) (ho_14647 y z)))) (= x y))))) (let ((_let_5792 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6348 v ii) (ite (= i ii) e (ho_6348 u ii)))))))))) (let ((_let_5793 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6348 x z) (ho_6348 y z)))) (= x y))))) (let ((_let_5794 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_5613 v ii) (ite (= i ii) e (ho_5613 u ii)))))))))) (let ((_let_5795 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_5613 x z) (ho_5613 y z)))) (= x y))))) (let ((_let_5796 (forall ((u |u_(-> tptp.set_int_nat _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i tptp.set_int_nat)) (not (forall ((v |u_(-> tptp.set_int_nat _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii tptp.set_int_nat)) (= (ho_14296 v ii) (ite (= i ii) e (ho_14296 u ii)))))))))) (let ((_let_5797 (forall ((x |u_(-> tptp.set_int_nat _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> tptp.set_int_nat _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z tptp.set_int_nat)) (= (ho_14296 x z) (ho_14296 y z)))) (= x y))))) (let ((_let_5798 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_6792 v ii) (ite (= i ii) e (ho_6792 u ii)))))))))) (let ((_let_5799 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_6792 x z) (ho_6792 y z)))) (= x y))))) (let ((_let_5800 (forall ((u |u_(-> tptp.set_o tptp.nat tptp.set_o)|) (e |u_(-> tptp.nat tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.nat tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6014 v ii) (ite (= i ii) e (ho_6014 u ii)))))))))) (let ((_let_5801 (forall ((x |u_(-> tptp.set_o tptp.nat tptp.set_o)|) (y |u_(-> tptp.set_o tptp.nat tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6014 x z) (ho_6014 y z)))) (= x y))))) (let ((_let_5802 (forall ((u |u_(-> tptp.int Bool tptp.product_prod_int_o)|) (e |u_(-> Bool tptp.product_prod_int_o)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int Bool tptp.product_prod_int_o)|)) (not (forall ((ii tptp.int)) (= (ho_14562 v ii) (ite (= i ii) e (ho_14562 u ii)))))))))) (let ((_let_5803 (forall ((x |u_(-> tptp.int Bool tptp.product_prod_int_o)|) (y |u_(-> tptp.int Bool tptp.product_prod_int_o)|)) (or (not (forall ((z tptp.int)) (= (ho_14562 x z) (ho_14562 y z)))) (= x y))))) (let ((_let_5804 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_6752 v ii) (ite (= i ii) e (ho_6752 u ii)))))))))) (let ((_let_5805 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_6752 x z) (ho_6752 y z)))) (= x y))))) (let ((_let_5806 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_5079 v ii) (ite (= i ii) e (ho_5079 u ii)))))))))) (let ((_let_5807 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_5079 x z) (ho_5079 y z)))) (= x y))))) (let ((_let_5808 (forall ((u |u_(-> tptp.nat tptp.list_nat tptp.list_nat)|) (e |u_(-> tptp.list_nat tptp.list_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.list_nat tptp.list_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6686 v ii) (ite (= i ii) e (ho_6686 u ii)))))))))) (let ((_let_5809 (forall ((x |u_(-> tptp.nat tptp.list_nat tptp.list_nat)|) (y |u_(-> tptp.nat tptp.list_nat tptp.list_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6686 x z) (ho_6686 y z)))) (= x y))))) (let ((_let_5810 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13534 v ii) (ite (= i ii) e (ho_13534 u ii)))))))))) (let ((_let_5811 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13534 x z) (ho_13534 y z)))) (= x y))))) (let ((_let_5812 (forall ((u |u_(-> tptp.nat tptp.rat)|) (e tptp.rat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.rat)|)) (not (forall ((ii tptp.nat)) (= (ho_6357 v ii) (ite (= i ii) e (ho_6357 u ii)))))))))) (let ((_let_5813 (forall ((x |u_(-> tptp.nat tptp.rat)|) (y |u_(-> tptp.nat tptp.rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6357 x z) (ho_6357 y z)))) (= x y))))) (let ((_let_5814 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8566 v ii) (ite (= i ii) e (ho_8566 u ii)))))))))) (let ((_let_5815 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8566 x z) (ho_8566 y z)))) (= x y))))) (let ((_let_5816 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4617 v ii) (ite (= i ii) e (ho_4617 u ii)))))))))) (let ((_let_5817 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4617 x z) (ho_4617 y z)))) (= x y))))) (let ((_let_5818 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14585 v ii) (ite (= i ii) e (ho_14585 u ii)))))))))) (let ((_let_5819 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14585 x z) (ho_14585 y z)))) (= x y))))) (let ((_let_5820 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5552 v ii) (ite (= i ii) e (ho_5552 u ii)))))))))) (let ((_let_5821 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5552 x z) (ho_5552 y z)))) (= x y))))) (let ((_let_5822 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_8790 v ii) (ite (= i ii) e (ho_8790 u ii)))))))))) (let ((_let_5823 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_8790 x z) (ho_8790 y z)))) (= x y))))) (let ((_let_5824 (forall ((u |u_(-> _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.int Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool Bool)|)) (= (ho_13501 v ii) (ite (= i ii) e (ho_13501 u ii)))))))))) (let ((_let_5825 (forall ((x |u_(-> _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int Bool Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool Bool)|)) (= (ho_13501 x z) (ho_13501 y z)))) (= x y))))) (let ((_let_5826 (forall ((u |u_(-> tptp.int tptp.product_prod_nat_int)|) (e tptp.product_prod_nat_int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.int)) (= (ho_10280 v ii) (ite (= i ii) e (ho_10280 u ii)))))))))) (let ((_let_5827 (forall ((x |u_(-> tptp.int tptp.product_prod_nat_int)|) (y |u_(-> tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.int)) (= (ho_10280 x z) (ho_10280 y z)))) (= x y))))) (let ((_let_5828 (forall ((u |u_(-> tptp.char tptp.num)|) (e tptp.num) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.num)|)) (not (forall ((ii tptp.char)) (= (ho_10336 v ii) (ite (= i ii) e (ho_10336 u ii)))))))))) (let ((_let_5829 (forall ((x |u_(-> tptp.char tptp.num)|) (y |u_(-> tptp.char tptp.num)|)) (or (not (forall ((z tptp.char)) (= (ho_10336 x z) (ho_10336 y z)))) (= x y))))) (let ((_let_5830 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|) (e tptp.nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_14583 v ii) (ite (= i ii) e (ho_14583 u ii)))))))))) (let ((_let_5831 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_14583 x z) (ho_14583 y z)))) (= x y))))) (let ((_let_5832 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_o)|) (e tptp.set_o) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_o)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7272 v ii) (ite (= i ii) e (ho_7272 u ii)))))))))) (let ((_let_5833 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_o)|) (y |u_(-> tptp.set_Product_unit tptp.set_o)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7272 x z) (ho_7272 y z)))) (= x y))))) (let ((_let_5834 (forall ((u |u_(-> tptp.set_o _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_11179 v ii) (ite (= i ii) e (ho_11179 u ii)))))))))) (let ((_let_5835 (forall ((x |u_(-> tptp.set_o _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_11179 x z) (ho_11179 y z)))) (= x y))))) (let ((_let_5836 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7753 v ii) (ite (= i ii) e (ho_7753 u ii)))))))))) (let ((_let_5837 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7753 x z) (ho_7753 y z)))) (= x y))))) (let ((_let_5838 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6350 v ii) (ite (= i ii) e (ho_6350 u ii)))))))))) (let ((_let_5839 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6350 x z) (ho_6350 y z)))) (= x y))))) (let ((_let_5840 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.int)_ tptp.produc8923325533196201883nteger tptp.int)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.int)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.int)_ tptp.produc8923325533196201883nteger tptp.int)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.int)|)) (= (ho_6662 v ii) (ite (= i ii) e (ho_6662 u ii)))))))))) (let ((_let_5841 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.int)_ tptp.produc8923325533196201883nteger tptp.int)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.int)_ tptp.produc8923325533196201883nteger tptp.int)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.int)|)) (= (ho_6662 x z) (ho_6662 y z)))) (= x y))))) (let ((_let_5842 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char_o Bool)|) (e |u_(-> tptp.set_char_o Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char_o Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_15486 v ii) (ite (= i ii) e (ho_15486 u ii)))))))))) (let ((_let_5843 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char_o Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char_o Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_15486 x z) (ho_15486 y z)))) (= x y))))) (let ((_let_5844 (forall ((u |u_(-> tptp.code_integer tptp.code_integer Bool)|) (e |u_(-> tptp.code_integer Bool)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((ii tptp.code_integer)) (= (ho_6654 v ii) (ite (= i ii) e (ho_6654 u ii)))))))))) (let ((_let_5845 (forall ((x |u_(-> tptp.code_integer tptp.code_integer Bool)|) (y |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_6654 x z) (ho_6654 y z)))) (= x y))))) (let ((_let_5846 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7796 v ii) (ite (= i ii) e (ho_7796 u ii)))))))))) (let ((_let_5847 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7796 x z) (ho_7796 y z)))) (= x y))))) (let ((_let_5848 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13183 v ii) (ite (= i ii) e (ho_13183 u ii)))))))))) (let ((_let_5849 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13183 x z) (ho_13183 y z)))) (= x y))))) (let ((_let_5850 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_8741 v ii) (ite (= i ii) e (ho_8741 u ii)))))))))) (let ((_let_5851 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_8741 x z) (ho_8741 y z)))) (= x y))))) (let ((_let_5852 (forall ((u |u_(-> Bool tptp.int)|) (e tptp.int) (i Bool)) (not (forall ((v |u_(-> Bool tptp.int)|)) (not (forall ((ii Bool)) (= (ho_6094 v ii) (ite (= i ii) e (ho_6094 u ii)))))))))) (let ((_let_5853 (forall ((x |u_(-> Bool tptp.int)|) (y |u_(-> Bool tptp.int)|)) (or (not (forall ((z Bool)) (= (ho_6094 x z) (ho_6094 y z)))) (= x y))))) (let ((_let_5854 (forall ((u |u_(-> tptp.nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_6770 v ii) (ite (= i ii) e (ho_6770 u ii)))))))))) (let ((_let_5855 (forall ((x |u_(-> tptp.nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_6770 x z) (ho_6770 y z)))) (= x y))))) (let ((_let_5856 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_10640 v ii) (ite (= i ii) e (ho_10640 u ii)))))))))) (let ((_let_5857 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_10640 x z) (ho_10640 y z)))) (= x y))))) (let ((_let_5858 (forall ((u |u_(-> tptp.int tptp.rat)|) (e tptp.rat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.rat)|)) (not (forall ((ii tptp.int)) (= (ho_6617 v ii) (ite (= i ii) e (ho_6617 u ii)))))))))) (let ((_let_5859 (forall ((x |u_(-> tptp.int tptp.rat)|) (y |u_(-> tptp.int tptp.rat)|)) (or (not (forall ((z tptp.int)) (= (ho_6617 x z) (ho_6617 y z)))) (= x y))))) (let ((_let_5860 (forall ((u |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6601 v ii) (ite (= i ii) e (ho_6601 u ii)))))))))) (let ((_let_5861 (forall ((x |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6601 x z) (ho_6601 y z)))) (= x y))))) (let ((_let_5862 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7004 v ii) (ite (= i ii) e (ho_7004 u ii)))))))))) (let ((_let_5863 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7004 x z) (ho_7004 y z)))) (= x y))))) (let ((_let_5864 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_14378 v ii) (ite (= i ii) e (ho_14378 u ii)))))))))) (let ((_let_5865 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_14378 x z) (ho_14378 y z)))) (= x y))))) (let ((_let_5866 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6597 v ii) (ite (= i ii) e (ho_6597 u ii)))))))))) (let ((_let_5867 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6597 x z) (ho_6597 y z)))) (= x y))))) (let ((_let_5868 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (e Bool) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7010 v ii) (ite (= i ii) e (ho_7010 u ii)))))))))) (let ((_let_5869 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7010 x z) (ho_7010 y z)))) (= x y))))) (let ((_let_5870 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o tptp.set_o Bool Bool)|) (e |u_(-> Bool tptp.set_o tptp.set_o Bool Bool)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o tptp.set_o Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_7485 v ii) (ite (= i ii) e (ho_7485 u ii)))))))))) (let ((_let_5871 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o tptp.set_o Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o tptp.set_o Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_7485 x z) (ho_7485 y z)))) (= x y))))) (let ((_let_5872 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_12783 v ii) (ite (= i ii) e (ho_12783 u ii)))))))))) (let ((_let_5873 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_12783 x z) (ho_12783 y z)))) (= x y))))) (let ((_let_5874 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_10921 v ii) (ite (= i ii) e (ho_10921 u ii)))))))))) (let ((_let_5875 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_10921 x z) (ho_10921 y z)))) (= x y))))) (let ((_let_5876 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7741 v ii) (ite (= i ii) e (ho_7741 u ii)))))))))) (let ((_let_5877 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7741 x z) (ho_7741 y z)))) (= x y))))) (let ((_let_5878 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13508 v ii) (ite (= i ii) e (ho_13508 u ii)))))))))) (let ((_let_5879 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13508 x z) (ho_13508 y z)))) (= x y))))) (let ((_let_5880 (forall ((u |u_(-> tptp.nat tptp.option_num)|) (e tptp.option_num) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.option_num)|)) (not (forall ((ii tptp.nat)) (= (ho_4841 v ii) (ite (= i ii) e (ho_4841 u ii)))))))))) (let ((_let_5881 (forall ((x |u_(-> tptp.nat tptp.option_num)|) (y |u_(-> tptp.nat tptp.option_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_4841 x z) (ho_4841 y z)))) (= x y))))) (let ((_let_5882 (forall ((u |u_(-> tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_15627 v ii) (ite (= i ii) e (ho_15627 u ii)))))))))) (let ((_let_5883 (forall ((x |u_(-> tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_15627 x z) (ho_15627 y z)))) (= x y))))) (let ((_let_5884 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7643 v ii) (ite (= i ii) e (ho_7643 u ii)))))))))) (let ((_let_5885 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7643 x z) (ho_7643 y z)))) (= x y))))) (let ((_let_5886 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5702 v ii) (ite (= i ii) e (ho_5702 u ii)))))))))) (let ((_let_5887 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5702 x z) (ho_5702 y z)))) (= x y))))) (let ((_let_5888 (forall ((u |u_(-> tptp.nat tptp.char)|) (e tptp.char) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.char)|)) (not (forall ((ii tptp.nat)) (= (ho_7204 v ii) (ite (= i ii) e (ho_7204 u ii)))))))))) (let ((_let_5889 (forall ((x |u_(-> tptp.nat tptp.char)|) (y |u_(-> tptp.nat tptp.char)|)) (or (not (forall ((z tptp.nat)) (= (ho_7204 x z) (ho_7204 y z)))) (= x y))))) (let ((_let_5890 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|) (e |u_(-> tptp.int tptp.set_o)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_6420 v ii) (ite (= i ii) e (ho_6420 u ii)))))))))) (let ((_let_5891 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_6420 x z) (ho_6420 y z)))) (= x y))))) (let ((_let_5892 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8318 v ii) (ite (= i ii) e (ho_8318 u ii)))))))))) (let ((_let_5893 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8318 x z) (ho_8318 y z)))) (= x y))))) (let ((_let_5894 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6411 v ii) (ite (= i ii) e (ho_6411 u ii)))))))))) (let ((_let_5895 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6411 x z) (ho_6411 y z)))) (= x y))))) (let ((_let_5896 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8660 v ii) (ite (= i ii) e (ho_8660 u ii)))))))))) (let ((_let_5897 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8660 x z) (ho_8660 y z)))) (= x y))))) (let ((_let_5898 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_6405 v ii) (ite (= i ii) e (ho_6405 u ii)))))))))) (let ((_let_5899 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|) (y |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_6405 x z) (ho_6405 y z)))) (= x y))))) (let ((_let_5900 (forall ((u |u_(-> tptp.ref_a tptp.a)|) (e tptp.a) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12005 v ii) (ite (= i ii) e (ho_12005 u ii)))))))))) (let ((_let_5901 (forall ((x |u_(-> tptp.ref_a tptp.a)|) (y |u_(-> tptp.ref_a tptp.a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12005 x z) (ho_12005 y z)))) (= x y))))) (let ((_let_5902 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e tptp.heap_e7401611519738050253t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_10239 v ii) (ite (= i ii) e (ho_10239 u ii)))))))))) (let ((_let_5903 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_10239 x z) (ho_10239 y z)))) (= x y))))) (let ((_let_5904 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_10974 v ii) (ite (= i ii) e (ho_10974 u ii)))))))))) (let ((_let_5905 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_10974 x z) (ho_10974 y z)))) (= x y))))) (let ((_let_5906 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_12824 v ii) (ite (= i ii) e (ho_12824 u ii)))))))))) (let ((_let_5907 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_12824 x z) (ho_12824 y z)))) (= x y))))) (let ((_let_5908 (forall ((u |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6401 v ii) (ite (= i ii) e (ho_6401 u ii)))))))))) (let ((_let_5909 (forall ((x |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6401 x z) (ho_6401 y z)))) (= x y))))) (let ((_let_5910 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (i |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (= (ho_14166 v ii) (ite (= i ii) e (ho_14166 u ii)))))))))) (let ((_let_5911 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (y |u_(-> _u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (= (ho_14166 x z) (ho_14166 y z)))) (= x y))))) (let ((_let_5912 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8683 v ii) (ite (= i ii) e (ho_8683 u ii)))))))))) (let ((_let_5913 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8683 x z) (ho_8683 y z)))) (= x y))))) (let ((_let_5914 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13956 v ii) (ite (= i ii) e (ho_13956 u ii)))))))))) (let ((_let_5915 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13956 x z) (ho_13956 y z)))) (= x y))))) (let ((_let_5916 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|) (e tptp.set_Pr2560585780119916871nt_int) (i |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (= (ho_14631 v ii) (ite (= i ii) e (ho_14631 u ii)))))))))) (let ((_let_5917 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr2560585780119916871nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (= (ho_14631 x z) (ho_14631 y z)))) (= x y))))) (let ((_let_5918 (forall ((u |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.char tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.char tptp.num)|)) (= (ho_10338 v ii) (ite (= i ii) e (ho_10338 u ii)))))))))) (let ((_let_5919 (forall ((x |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.char tptp.num)|)) (= (ho_10338 x z) (ho_10338 y z)))) (= x y))))) (let ((_let_5920 (forall ((u |u_(-> tptp.int tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.int)) (= (ho_6166 v ii) (ite (= i ii) e (ho_6166 u ii)))))))))) (let ((_let_5921 (forall ((x |u_(-> tptp.int tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.int tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.int)) (= (ho_6166 x z) (ho_6166 y z)))) (= x y))))) (let ((_let_5922 (forall ((u |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6399 v ii) (ite (= i ii) e (ho_6399 u ii)))))))))) (let ((_let_5923 (forall ((x |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6399 x z) (ho_6399 y z)))) (= x y))))) (let ((_let_5924 (forall ((u |u_(-> tptp.option_num tptp.option_num)|) (e tptp.option_num) (i tptp.option_num)) (not (forall ((v |u_(-> tptp.option_num tptp.option_num)|)) (not (forall ((ii tptp.option_num)) (= (ho_4583 v ii) (ite (= i ii) e (ho_4583 u ii)))))))))) (let ((_let_5925 (forall ((x |u_(-> tptp.option_num tptp.option_num)|) (y |u_(-> tptp.option_num tptp.option_num)|)) (or (not (forall ((z tptp.option_num)) (= (ho_4583 x z) (ho_4583 y z)))) (= x y))))) (let ((_let_5926 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.rat)|) (e tptp.rat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.rat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_11347 v ii) (ite (= i ii) e (ho_11347 u ii)))))))))) (let ((_let_5927 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.rat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.rat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_11347 x z) (ho_11347 y z)))) (= x y))))) (let ((_let_5928 (forall ((u |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7203 v ii) (ite (= i ii) e (ho_7203 u ii)))))))))) (let ((_let_5929 (forall ((x |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7203 x z) (ho_7203 y z)))) (= x y))))) (let ((_let_5930 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_rat tptp.nat tptp.set_rat)|) (e |u_(-> tptp.set_rat tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_rat tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_8802 v ii) (ite (= i ii) e (ho_8802 u ii)))))))))) (let ((_let_5931 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_rat tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_rat tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_8802 x z) (ho_8802 y z)))) (= x y))))) (let ((_let_5932 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12561 v ii) (ite (= i ii) e (ho_12561 u ii)))))))))) (let ((_let_5933 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12561 x z) (ho_12561 y z)))) (= x y))))) (let ((_let_5934 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10150 v ii) (ite (= i ii) e (ho_10150 u ii)))))))))) (let ((_let_5935 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10150 x z) (ho_10150 y z)))) (= x y))))) (let ((_let_5936 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5675 v ii) (ite (= i ii) e (ho_5675 u ii)))))))))) (let ((_let_5937 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5675 x z) (ho_5675 y z)))) (= x y))))) (let ((_let_5938 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7756 v ii) (ite (= i ii) e (ho_7756 u ii)))))))))) (let ((_let_5939 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7756 x z) (ho_7756 y z)))) (= x y))))) (let ((_let_5940 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_14684 v ii) (ite (= i ii) e (ho_14684 u ii)))))))))) (let ((_let_5941 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_14684 x z) (ho_14684 y z)))) (= x y))))) (let ((_let_5942 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6372 v ii) (ite (= i ii) e (ho_6372 u ii)))))))))) (let ((_let_5943 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6372 x z) (ho_6372 y z)))) (= x y))))) (let ((_let_5944 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12209 v ii) (ite (= i ii) e (ho_12209 u ii)))))))))) (let ((_let_5945 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12209 x z) (ho_12209 y z)))) (= x y))))) (let ((_let_5946 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5892 v ii) (ite (= i ii) e (ho_5892 u ii)))))))))) (let ((_let_5947 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5892 x z) (ho_5892 y z)))) (= x y))))) (let ((_let_5948 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_10208 v ii) (ite (= i ii) e (ho_10208 u ii)))))))))) (let ((_let_5949 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_10208 x z) (ho_10208 y z)))) (= x y))))) (let ((_let_5950 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)_ tptp.set_Co4375521073081744395nteger)|) (e tptp.set_Co4375521073081744395nteger) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)_ tptp.set_Co4375521073081744395nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14279 v ii) (ite (= i ii) e (ho_14279 u ii)))))))))) (let ((_let_5951 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)_ tptp.set_Co4375521073081744395nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)_ tptp.set_Co4375521073081744395nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14279 x z) (ho_14279 y z)))) (= x y))))) (let ((_let_5952 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool tptp.nat Bool)|) (e |u_(-> tptp.set_o Bool tptp.nat Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_7309 v ii) (ite (= i ii) e (ho_7309 u ii)))))))))) (let ((_let_5953 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_7309 x z) (ho_7309 y z)))) (= x y))))) (let ((_let_5954 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10998 v ii) (ite (= i ii) e (ho_10998 u ii)))))))))) (let ((_let_5955 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10998 x z) (ho_10998 y z)))) (= x y))))) (let ((_let_5956 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_6988 v ii) (ite (= i ii) e (ho_6988 u ii)))))))))) (let ((_let_5957 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_6988 x z) (ho_6988 y z)))) (= x y))))) (let ((_let_5958 (forall ((u |u_(-> tptp.set_rat Bool tptp.set_rat)|) (e |u_(-> Bool tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat Bool tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8809 v ii) (ite (= i ii) e (ho_8809 u ii)))))))))) (let ((_let_5959 (forall ((x |u_(-> tptp.set_rat Bool tptp.set_rat)|) (y |u_(-> tptp.set_rat Bool tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8809 x z) (ho_8809 y z)))) (= x y))))) (let ((_let_5960 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15611 v ii) (ite (= i ii) e (ho_15611 u ii)))))))))) (let ((_let_5961 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15611 x z) (ho_15611 y z)))) (= x y))))) (let ((_let_5962 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_6353 v ii) (ite (= i ii) e (ho_6353 u ii)))))))))) (let ((_let_5963 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_6353 x z) (ho_6353 y z)))) (= x y))))) (let ((_let_5964 (forall ((u |u_(-> Bool tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.int Bool)|)) (not (forall ((ii Bool)) (= (ho_7302 v ii) (ite (= i ii) e (ho_7302 u ii)))))))))) (let ((_let_5965 (forall ((x |u_(-> Bool tptp.int Bool)|) (y |u_(-> Bool tptp.int Bool)|)) (or (not (forall ((z Bool)) (= (ho_7302 x z) (ho_7302 y z)))) (= x y))))) (let ((_let_5966 (forall ((u |u_(-> tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_num)) (= (ho_8890 v ii) (ite (= i ii) e (ho_8890 u ii)))))))))) (let ((_let_5967 (forall ((x |u_(-> tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_8890 x z) (ho_8890 y z)))) (= x y))))) (let ((_let_5968 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_6327 v ii) (ite (= i ii) e (ho_6327 u ii)))))))))) (let ((_let_5969 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_6327 x z) (ho_6327 y z)))) (= x y))))) (let ((_let_5970 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_6080 v ii) (ite (= i ii) e (ho_6080 u ii)))))))))) (let ((_let_5971 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_6080 x z) (ho_6080 y z)))) (= x y))))) (let ((_let_5972 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13176 v ii) (ite (= i ii) e (ho_13176 u ii)))))))))) (let ((_let_5973 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13176 x z) (ho_13176 y z)))) (= x y))))) (let ((_let_5974 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_4934 v ii) (ite (= i ii) e (ho_4934 u ii)))))))))) (let ((_let_5975 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_4934 x z) (ho_4934 y z)))) (= x y))))) (let ((_let_5976 (forall ((u |u_(-> tptp.num _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|)) (not (forall ((ii tptp.num)) (= (ho_4588 v ii) (ite (= i ii) e (ho_4588 u ii)))))))))) (let ((_let_5977 (forall ((x |u_(-> tptp.num _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|) (y |u_(-> tptp.num _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|)) (or (not (forall ((z tptp.num)) (= (ho_4588 x z) (ho_4588 y z)))) (= x y))))) (let ((_let_5978 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_7161 v ii) (ite (= i ii) e (ho_7161 u ii)))))))))) (let ((_let_5979 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7161 x z) (ho_7161 y z)))) (= x y))))) (let ((_let_5980 (forall ((u |u_(-> tptp.code_integer Bool)|) (e Bool) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer Bool)|)) (not (forall ((ii tptp.code_integer)) (= (ho_6488 v ii) (ite (= i ii) e (ho_6488 u ii)))))))))) (let ((_let_5981 (forall ((x |u_(-> tptp.code_integer Bool)|) (y |u_(-> tptp.code_integer Bool)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_6488 x z) (ho_6488 y z)))) (= x y))))) (let ((_let_5982 (forall ((u |u_(-> tptp.int tptp.int tptp.rat)|) (e |u_(-> tptp.int tptp.rat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.rat)|)) (not (forall ((ii tptp.int)) (= (ho_6616 v ii) (ite (= i ii) e (ho_6616 u ii)))))))))) (let ((_let_5983 (forall ((x |u_(-> tptp.int tptp.int tptp.rat)|) (y |u_(-> tptp.int tptp.int tptp.rat)|)) (or (not (forall ((z tptp.int)) (= (ho_6616 x z) (ho_6616 y z)))) (= x y))))) (let ((_let_5984 (forall ((u |u_(-> tptp.int tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_10636 v ii) (ite (= i ii) e (ho_10636 u ii)))))))))) (let ((_let_5985 (forall ((x |u_(-> tptp.int tptp.nat tptp.nat)|) (y |u_(-> tptp.int tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_10636 x z) (ho_10636 y z)))) (= x y))))) (let ((_let_5986 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (e tptp.produc859450856879609959at_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_7007 v ii) (ite (= i ii) e (ho_7007 u ii)))))))))) (let ((_let_5987 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_7007 x z) (ho_7007 y z)))) (= x y))))) (let ((_let_5988 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8269 v ii) (ite (= i ii) e (ho_8269 u ii)))))))))) (let ((_let_5989 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8269 x z) (ho_8269 y z)))) (= x y))))) (let ((_let_5990 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6324 v ii) (ite (= i ii) e (ho_6324 u ii)))))))))) (let ((_let_5991 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6324 x z) (ho_6324 y z)))) (= x y))))) (let ((_let_5992 (forall ((u |u_(-> tptp.set_int tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_rat)|)) (not (forall ((ii tptp.set_int)) (= (ho_12296 v ii) (ite (= i ii) e (ho_12296 u ii)))))))))) (let ((_let_5993 (forall ((x |u_(-> tptp.set_int tptp.set_rat)|) (y |u_(-> tptp.set_int tptp.set_rat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_12296 x z) (ho_12296 y z)))) (= x y))))) (let ((_let_5994 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat Bool)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat Bool)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_6285 v ii) (ite (= i ii) e (ho_6285 u ii)))))))))) (let ((_let_5995 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat Bool)|) (y |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr7459493094073627847at_nat Bool)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_6285 x z) (ho_6285 y z)))) (= x y))))) (let ((_let_5996 (forall ((u |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_se7592288975875140775at_nat)) (not (forall ((v |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_se7592288975875140775at_nat)) (= (ho_9003 v ii) (ite (= i ii) e (ho_9003 u ii)))))))))) (let ((_let_5997 (forall ((x |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_se7592288975875140775at_nat)) (= (ho_9003 x z) (ho_9003 y z)))) (= x y))))) (let ((_let_5998 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|) (e |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_14431 v ii) (ite (= i ii) e (ho_14431 u ii)))))))))) (let ((_let_5999 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|) (y |u_(-> tptp.set_rat _u_(-> tptp.rat tptp.set_nat)_ tptp.set_Pr6084635751276098665at_nat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_14431 x z) (ho_14431 y z)))) (= x y))))) (let ((_let_6000 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|) (e Bool) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_6286 v ii) (ite (= i ii) e (ho_6286 u ii)))))))))) (let ((_let_6001 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_6286 x z) (ho_6286 y z)))) (= x y))))) (let ((_let_6002 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_11731 v ii) (ite (= i ii) e (ho_11731 u ii)))))))))) (let ((_let_6003 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_11731 x z) (ho_11731 y z)))) (= x y))))) (let ((_let_6004 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num Bool)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num Bool)|) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num Bool)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_6268 v ii) (ite (= i ii) e (ho_6268 u ii)))))))))) (let ((_let_6005 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num Bool)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num Bool)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_6268 x z) (ho_6268 y z)))) (= x y))))) (let ((_let_6006 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num Bool)|) (e Bool) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num Bool)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_6269 v ii) (ite (= i ii) e (ho_6269 u ii)))))))))) (let ((_let_6007 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num Bool)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num Bool)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_6269 x z) (ho_6269 y z)))) (= x y))))) (let ((_let_6008 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|) (e |u_(-> tptp.rat tptp.nat)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_11045 v ii) (ite (= i ii) e (ho_11045 u ii)))))))))) (let ((_let_6009 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_11045 x z) (ho_11045 y z)))) (= x y))))) (let ((_let_6010 (forall ((u |u_(-> tptp.code_integer tptp.set_Code_integer)|) (e tptp.set_Code_integer) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.set_Code_integer)|)) (not (forall ((ii tptp.code_integer)) (= (ho_8450 v ii) (ite (= i ii) e (ho_8450 u ii)))))))))) (let ((_let_6011 (forall ((x |u_(-> tptp.code_integer tptp.set_Code_integer)|) (y |u_(-> tptp.code_integer tptp.set_Code_integer)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_8450 x z) (ho_8450 y z)))) (= x y))))) (let ((_let_6012 (forall ((u |u_(-> tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_11170 v ii) (ite (= i ii) e (ho_11170 u ii)))))))))) (let ((_let_6013 (forall ((x |u_(-> tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> tptp.set_int _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11170 x z) (ho_11170 y z)))) (= x y))))) (let ((_let_6014 (forall ((u |u_(-> tptp.nat tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_6265 v ii) (ite (= i ii) e (ho_6265 u ii)))))))))) (let ((_let_6015 (forall ((x |u_(-> tptp.nat tptp.num Bool)|) (y |u_(-> tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_6265 x z) (ho_6265 y z)))) (= x y))))) (let ((_let_6016 (forall ((u |u_(-> tptp.num Bool)|) (e Bool) (i tptp.num)) (not (forall ((v |u_(-> tptp.num Bool)|)) (not (forall ((ii tptp.num)) (= (ho_6266 v ii) (ite (= i ii) e (ho_6266 u ii)))))))))) (let ((_let_6017 (forall ((x |u_(-> tptp.num Bool)|) (y |u_(-> tptp.num Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_6266 x z) (ho_6266 y z)))) (= x y))))) (let ((_let_6018 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4755 v ii) (ite (= i ii) e (ho_4755 u ii)))))))))) (let ((_let_6019 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4755 x z) (ho_4755 y z)))) (= x y))))) (let ((_let_6020 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_11529 v ii) (ite (= i ii) e (ho_11529 u ii)))))))))) (let ((_let_6021 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_11529 x z) (ho_11529 y z)))) (= x y))))) (let ((_let_6022 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|) (i |u_(-> tptp.char tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14359 v ii) (ite (= i ii) e (ho_14359 u ii)))))))))) (let ((_let_6023 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.char tptp.set_rat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_rat)|)) (= (ho_14359 x z) (ho_14359 y z)))) (= x y))))) (let ((_let_6024 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7149 v ii) (ite (= i ii) e (ho_7149 u ii)))))))))) (let ((_let_6025 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7149 x z) (ho_7149 y z)))) (= x y))))) (let ((_let_6026 (forall ((u |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|) (e Bool) (i tptp.set_Pr3280342998896498603um_nat)) (not (forall ((v |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|)) (not (forall ((ii tptp.set_Pr3280342998896498603um_nat)) (= (ho_12220 v ii) (ite (= i ii) e (ho_12220 u ii)))))))))) (let ((_let_6027 (forall ((x |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|) (y |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|)) (or (not (forall ((z tptp.set_Pr3280342998896498603um_nat)) (= (ho_12220 x z) (ho_12220 y z)))) (= x y))))) (let ((_let_6028 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6048 v ii) (ite (= i ii) e (ho_6048 u ii)))))))))) (let ((_let_6029 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|) (y |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6048 x z) (ho_6048 y z)))) (= x y))))) (let ((_let_6030 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7725 v ii) (ite (= i ii) e (ho_7725 u ii)))))))))) (let ((_let_6031 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7725 x z) (ho_7725 y z)))) (= x y))))) (let ((_let_6032 (forall ((u |u_(-> tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|) (e tptp.set_se6260736226359567993nt_int) (i tptp.set_Pr8049984349381595834_int_o)) (not (forall ((v |u_(-> tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|)) (not (forall ((ii tptp.set_Pr8049984349381595834_int_o)) (= (ho_6251 v ii) (ite (= i ii) e (ho_6251 u ii)))))))))) (let ((_let_6033 (forall ((x |u_(-> tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|) (y |u_(-> tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|)) (or (not (forall ((z tptp.set_Pr8049984349381595834_int_o)) (= (ho_6251 x z) (ho_6251 y z)))) (= x y))))) (let ((_let_6034 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12227 v ii) (ite (= i ii) e (ho_12227 u ii)))))))))) (let ((_let_6035 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_12227 x z) (ho_12227 y z)))) (= x y))))) (let ((_let_6036 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_11465 v ii) (ite (= i ii) e (ho_11465 u ii)))))))))) (let ((_let_6037 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_11465 x z) (ho_11465 y z)))) (= x y))))) (let ((_let_6038 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5894 v ii) (ite (= i ii) e (ho_5894 u ii)))))))))) (let ((_let_6039 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5894 x z) (ho_5894 y z)))) (= x y))))) (let ((_let_6040 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_6907 v ii) (ite (= i ii) e (ho_6907 u ii)))))))))) (let ((_let_6041 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_6907 x z) (ho_6907 y z)))) (= x y))))) (let ((_let_6042 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_15430 v ii) (ite (= i ii) e (ho_15430 u ii)))))))))) (let ((_let_6043 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_15430 x z) (ho_15430 y z)))) (= x y))))) (let ((_let_6044 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|) (e |u_(-> tptp.char tptp.int)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13563 v ii) (ite (= i ii) e (ho_13563 u ii)))))))))) (let ((_let_6045 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13563 x z) (ho_13563 y z)))) (= x y))))) (let ((_let_6046 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.list_nat)_ tptp.product_prod_nat_nat tptp.list_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.list_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.list_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.list_nat)_ tptp.product_prod_nat_nat tptp.list_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.list_nat)|)) (= (ho_15973 v ii) (ite (= i ii) e (ho_15973 u ii)))))))))) (let ((_let_6047 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.list_nat)_ tptp.product_prod_nat_nat tptp.list_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.list_nat)_ tptp.product_prod_nat_nat tptp.list_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.list_nat)|)) (= (ho_15973 x z) (ho_15973 y z)))) (= x y))))) (let ((_let_6048 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)_ tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|) (e |u_(-> tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|) (i |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)_ tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (= (ho_6247 v ii) (ite (= i ii) e (ho_6247 u ii)))))))))) (let ((_let_6049 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)_ tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)_ tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (= (ho_6247 x z) (ho_6247 y z)))) (= x y))))) (let ((_let_6050 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (= (ho_13048 v ii) (ite (= i ii) e (ho_13048 u ii)))))))))) (let ((_let_6051 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (= (ho_13048 x z) (ho_13048 y z)))) (= x y))))) (let ((_let_6052 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4888 v ii) (ite (= i ii) e (ho_4888 u ii)))))))))) (let ((_let_6053 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4888 x z) (ho_4888 y z)))) (= x y))))) (let ((_let_6054 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13121 v ii) (ite (= i ii) e (ho_13121 u ii)))))))))) (let ((_let_6055 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13121 x z) (ho_13121 y z)))) (= x y))))) (let ((_let_6056 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10560 v ii) (ite (= i ii) e (ho_10560 u ii)))))))))) (let ((_let_6057 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10560 x z) (ho_10560 y z)))) (= x y))))) (let ((_let_6058 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7759 v ii) (ite (= i ii) e (ho_7759 u ii)))))))))) (let ((_let_6059 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7759 x z) (ho_7759 y z)))) (= x y))))) (let ((_let_6060 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_15802 v ii) (ite (= i ii) e (ho_15802 u ii)))))))))) (let ((_let_6061 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_15802 x z) (ho_15802 y z)))) (= x y))))) (let ((_let_6062 (forall ((u |u_(-> tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|) (e tptp.set_Pr8049984349381595834_int_o) (i tptp.set_int_int_o)) (not (forall ((v |u_(-> tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|)) (not (forall ((ii tptp.set_int_int_o)) (= (ho_6248 v ii) (ite (= i ii) e (ho_6248 u ii)))))))))) (let ((_let_6063 (forall ((x |u_(-> tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|) (y |u_(-> tptp.set_int_int_o tptp.set_Pr8049984349381595834_int_o)|)) (or (not (forall ((z tptp.set_int_int_o)) (= (ho_6248 x z) (ho_6248 y z)))) (= x y))))) (let ((_let_6064 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_7324 v ii) (ite (= i ii) e (ho_7324 u ii)))))))))) (let ((_let_6065 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7324 x z) (ho_7324 y z)))) (= x y))))) (let ((_let_6066 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (e |u_(-> tptp.num tptp.num Bool)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_10379 v ii) (ite (= i ii) e (ho_10379 u ii)))))))))) (let ((_let_6067 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_10379 x z) (ho_10379 y z)))) (= x y))))) (let ((_let_6068 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6215 v ii) (ite (= i ii) e (ho_6215 u ii)))))))))) (let ((_let_6069 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6215 x z) (ho_6215 y z)))) (= x y))))) (let ((_let_6070 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_10361 v ii) (ite (= i ii) e (ho_10361 u ii)))))))))) (let ((_let_6071 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_10361 x z) (ho_10361 y z)))) (= x y))))) (let ((_let_6072 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit tptp.set_rat)|) (e |u_(-> tptp.set_Product_unit tptp.set_rat)|) (i |u_(-> tptp.product_unit tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_7199 v ii) (ite (= i ii) e (ho_7199 u ii)))))))))) (let ((_let_6073 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit tptp.set_rat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_7199 x z) (ho_7199 y z)))) (= x y))))) (let ((_let_6074 (forall ((u |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (i |u_(-> tptp.num tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.char)|)) (= (ho_13922 v ii) (ite (= i ii) e (ho_13922 u ii)))))))))) (let ((_let_6075 (forall ((x |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.char)|)) (= (ho_13922 x z) (ho_13922 y z)))) (= x y))))) (let ((_let_6076 (forall ((u |u_(-> tptp.set_se4826145725398303499at_num tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i tptp.set_se4826145725398303499at_num)) (not (forall ((v |u_(-> tptp.set_se4826145725398303499at_num tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.set_se4826145725398303499at_num)) (= (ho_8984 v ii) (ite (= i ii) e (ho_8984 u ii)))))))))) (let ((_let_6077 (forall ((x |u_(-> tptp.set_se4826145725398303499at_num tptp.nat tptp.num Bool)|) (y |u_(-> tptp.set_se4826145725398303499at_num tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.set_se4826145725398303499at_num)) (= (ho_8984 x z) (ho_8984 y z)))) (= x y))))) (let ((_let_6078 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_6975 v ii) (ite (= i ii) e (ho_6975 u ii)))))))))) (let ((_let_6079 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_6975 x z) (ho_6975 y z)))) (= x y))))) (let ((_let_6080 (forall ((u |u_(-> Bool Bool Bool)|) (e |u_(-> Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_6701 v ii) (ite (= i ii) e (ho_6701 u ii)))))))))) (let ((_let_6081 (forall ((x |u_(-> Bool Bool Bool)|) (y |u_(-> Bool Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_6701 x z) (ho_6701 y z)))) (= x y))))) (let ((_let_6082 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8537 v ii) (ite (= i ii) e (ho_8537 u ii)))))))))) (let ((_let_6083 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8537 x z) (ho_8537 y z)))) (= x y))))) (let ((_let_6084 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|) (i |u_(-> tptp.ref_a tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12480 v ii) (ite (= i ii) e (ho_12480 u ii)))))))))) (let ((_let_6085 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc5066145461314735602t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12480 x z) (ho_12480 y z)))) (= x y))))) (let ((_let_6086 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|)) (not (forall ((ii Bool)) (= (ho_5811 v ii) (ite (= i ii) e (ho_5811 u ii)))))))))) (let ((_let_6087 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (y |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|)) (or (not (forall ((z Bool)) (= (ho_5811 x z) (ho_5811 y z)))) (= x y))))) (let ((_let_6088 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_5525 v ii) (ite (= i ii) e (ho_5525 u ii)))))))))) (let ((_let_6089 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_5525 x z) (ho_5525 y z)))) (= x y))))) (let ((_let_6090 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8849 v ii) (ite (= i ii) e (ho_8849 u ii)))))))))) (let ((_let_6091 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8849 x z) (ho_8849 y z)))) (= x y))))) (let ((_let_6092 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_8303 v ii) (ite (= i ii) e (ho_8303 u ii)))))))))) (let ((_let_6093 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_8303 x z) (ho_8303 y z)))) (= x y))))) (let ((_let_6094 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14423 v ii) (ite (= i ii) e (ho_14423 u ii)))))))))) (let ((_let_6095 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_int)_ tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14423 x z) (ho_14423 y z)))) (= x y))))) (let ((_let_6096 (forall ((u |u_(-> tptp.set_set_o Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.set_set_o)) (not (forall ((v |u_(-> tptp.set_set_o Bool Bool)|)) (not (forall ((ii tptp.set_set_o)) (= (ho_6212 v ii) (ite (= i ii) e (ho_6212 u ii)))))))))) (let ((_let_6097 (forall ((x |u_(-> tptp.set_set_o Bool Bool)|) (y |u_(-> tptp.set_set_o Bool Bool)|)) (or (not (forall ((z tptp.set_set_o)) (= (ho_6212 x z) (ho_6212 y z)))) (= x y))))) (let ((_let_6098 (forall ((u |u_(-> _u_(-> tptp.set_o Bool)_ tptp.set_set_o tptp.set_o)|) (e |u_(-> tptp.set_set_o tptp.set_o)|) (i |u_(-> tptp.set_o Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_o Bool)_ tptp.set_set_o tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.set_o Bool)|)) (= (ho_6209 v ii) (ite (= i ii) e (ho_6209 u ii)))))))))) (let ((_let_6099 (forall ((x |u_(-> _u_(-> tptp.set_o Bool)_ tptp.set_set_o tptp.set_o)|) (y |u_(-> _u_(-> tptp.set_o Bool)_ tptp.set_set_o tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.set_o Bool)|)) (= (ho_6209 x z) (ho_6209 y z)))) (= x y))))) (let ((_let_6100 (forall ((u |u_(-> tptp.set_set_o tptp.set_o)|) (e tptp.set_o) (i tptp.set_set_o)) (not (forall ((v |u_(-> tptp.set_set_o tptp.set_o)|)) (not (forall ((ii tptp.set_set_o)) (= (ho_6210 v ii) (ite (= i ii) e (ho_6210 u ii)))))))))) (let ((_let_6101 (forall ((x |u_(-> tptp.set_set_o tptp.set_o)|) (y |u_(-> tptp.set_set_o tptp.set_o)|)) (or (not (forall ((z tptp.set_set_o)) (= (ho_6210 x z) (ho_6210 y z)))) (= x y))))) (let ((_let_6102 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (= (ho_12929 v ii) (ite (= i ii) e (ho_12929 u ii)))))))))) (let ((_let_6103 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (= (ho_12929 x z) (ho_12929 y z)))) (= x y))))) (let ((_let_6104 (forall ((u |u_(-> _u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (i |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|)) (= (ho_14895 v ii) (ite (= i ii) e (ho_14895 u ii)))))))))) (let ((_let_6105 (forall ((x |u_(-> _u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)_ tptp.set_Pr6671815714118170108t_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc3788275437394581276t_unit tptp.product_unit)|)) (= (ho_14895 x z) (ho_14895 y z)))) (= x y))))) (let ((_let_6106 (forall ((u |u_(-> tptp.set_rat tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_rat)) (= (ho_10465 v ii) (ite (= i ii) e (ho_10465 u ii)))))))))) (let ((_let_6107 (forall ((x |u_(-> tptp.set_rat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_rat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_10465 x z) (ho_10465 y z)))) (= x y))))) (let ((_let_6108 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7448 v ii) (ite (= i ii) e (ho_7448 u ii)))))))))) (let ((_let_6109 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7448 x z) (ho_7448 y z)))) (= x y))))) (let ((_let_6110 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|) (e tptp.set_o) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_6204 v ii) (ite (= i ii) e (ho_6204 u ii)))))))))) (let ((_let_6111 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_6204 x z) (ho_6204 y z)))) (= x y))))) (let ((_let_6112 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat tptp.nat Bool)|) (e |u_(-> Bool tptp.nat tptp.nat Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_7532 v ii) (ite (= i ii) e (ho_7532 u ii)))))))))) (let ((_let_6113 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_7532 x z) (ho_7532 y z)))) (= x y))))) (let ((_let_6114 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8236 v ii) (ite (= i ii) e (ho_8236 u ii)))))))))) (let ((_let_6115 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8236 x z) (ho_8236 y z)))) (= x y))))) (let ((_let_6116 (forall ((u |u_(-> tptp.set_set_o tptp.set_o_o)|) (e tptp.set_o_o) (i tptp.set_set_o)) (not (forall ((v |u_(-> tptp.set_set_o tptp.set_o_o)|)) (not (forall ((ii tptp.set_set_o)) (= (ho_6202 v ii) (ite (= i ii) e (ho_6202 u ii)))))))))) (let ((_let_6117 (forall ((x |u_(-> tptp.set_set_o tptp.set_o_o)|) (y |u_(-> tptp.set_set_o tptp.set_o_o)|)) (or (not (forall ((z tptp.set_set_o)) (= (ho_6202 x z) (ho_6202 y z)))) (= x y))))) (let ((_let_6118 (forall ((u |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5708 v ii) (ite (= i ii) e (ho_5708 u ii)))))))))) (let ((_let_6119 (forall ((x |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5708 x z) (ho_5708 y z)))) (= x y))))) (let ((_let_6120 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|) (e |u_(-> tptp.nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7397 v ii) (ite (= i ii) e (ho_7397 u ii)))))))))) (let ((_let_6121 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7397 x z) (ho_7397 y z)))) (= x y))))) (let ((_let_6122 (forall ((u |u_(-> tptp.set_o tptp.set_set_o Bool)|) (e |u_(-> tptp.set_set_o Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_o Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_15149 v ii) (ite (= i ii) e (ho_15149 u ii)))))))))) (let ((_let_6123 (forall ((x |u_(-> tptp.set_o tptp.set_set_o Bool)|) (y |u_(-> tptp.set_o tptp.set_set_o Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15149 x z) (ho_15149 y z)))) (= x y))))) (let ((_let_6124 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6799 v ii) (ite (= i ii) e (ho_6799 u ii)))))))))) (let ((_let_6125 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6799 x z) (ho_6799 y z)))) (= x y))))) (let ((_let_6126 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|) (e |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12501 v ii) (ite (= i ii) e (ho_12501 u ii)))))))))) (let ((_let_6127 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ tptp.product_prod_o_o tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12501 x z) (ho_12501 y z)))) (= x y))))) (let ((_let_6128 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_9277 v ii) (ite (= i ii) e (ho_9277 u ii)))))))))) (let ((_let_6129 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_9277 x z) (ho_9277 y z)))) (= x y))))) (let ((_let_6130 (forall ((u |u_(-> tptp.set_int tptp.set_nat tptp.set_int_nat)|) (e |u_(-> tptp.set_nat tptp.set_int_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_nat tptp.set_int_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15781 v ii) (ite (= i ii) e (ho_15781 u ii)))))))))) (let ((_let_6131 (forall ((x |u_(-> tptp.set_int tptp.set_nat tptp.set_int_nat)|) (y |u_(-> tptp.set_int tptp.set_nat tptp.set_int_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15781 x z) (ho_15781 y z)))) (= x y))))) (let ((_let_6132 (forall ((u |u_(-> _u_(-> tptp.set_int Bool)_ tptp.set_set_int tptp.set_o)|) (e |u_(-> tptp.set_set_int tptp.set_o)|) (i |u_(-> tptp.set_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int Bool)_ tptp.set_set_int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.set_int Bool)|)) (= (ho_6195 v ii) (ite (= i ii) e (ho_6195 u ii)))))))))) (let ((_let_6133 (forall ((x |u_(-> _u_(-> tptp.set_int Bool)_ tptp.set_set_int tptp.set_o)|) (y |u_(-> _u_(-> tptp.set_int Bool)_ tptp.set_set_int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.set_int Bool)|)) (= (ho_6195 x z) (ho_6195 y z)))) (= x y))))) (let ((_let_6134 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_char tptp.nat tptp.set_char)|) (e |u_(-> tptp.set_char tptp.nat tptp.set_char)|) (i |u_(-> tptp.nat tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_char tptp.nat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_char)|)) (= (ho_8817 v ii) (ite (= i ii) e (ho_8817 u ii)))))))))) (let ((_let_6135 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_char tptp.nat tptp.set_char)|) (y |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.set_char tptp.nat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_char)|)) (= (ho_8817 x z) (ho_8817 y z)))) (= x y))))) (let ((_let_6136 (forall ((u |u_(-> tptp.nat tptp.product_unit tptp.nat)|) (e |u_(-> tptp.product_unit tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_unit tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_9320 v ii) (ite (= i ii) e (ho_9320 u ii)))))))))) (let ((_let_6137 (forall ((x |u_(-> tptp.nat tptp.product_unit tptp.nat)|) (y |u_(-> tptp.nat tptp.product_unit tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_9320 x z) (ho_9320 y z)))) (= x y))))) (let ((_let_6138 (forall ((u |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (e tptp.set_he8644174446132254637t_unit) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_6960 v ii) (ite (= i ii) e (ho_6960 u ii)))))))))) (let ((_let_6139 (forall ((x |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_6960 x z) (ho_6960 y z)))) (= x y))))) (let ((_let_6140 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 v ii) (ite (= i ii) e (ho_4498 u ii)))))))))) (let ((_let_6141 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 x z) (ho_4498 y z)))) (= x y))))) (let ((_let_6142 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_10109 v ii) (ite (= i ii) e (ho_10109 u ii)))))))))) (let ((_let_6143 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_10109 x z) (ho_10109 y z)))) (= x y))))) (let ((_let_6144 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_7677 v ii) (ite (= i ii) e (ho_7677 u ii)))))))))) (let ((_let_6145 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_7677 x z) (ho_7677 y z)))) (= x y))))) (let ((_let_6146 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_12086 v ii) (ite (= i ii) e (ho_12086 u ii)))))))))) (let ((_let_6147 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_12086 x z) (ho_12086 y z)))) (= x y))))) (let ((_let_6148 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7837 v ii) (ite (= i ii) e (ho_7837 u ii)))))))))) (let ((_let_6149 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7837 x z) (ho_7837 y z)))) (= x y))))) (let ((_let_6150 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.int Bool)_ tptp.set_set_int tptp.set_int_o)|) (e |u_(-> tptp.set_set_int tptp.set_int_o)|) (i |u_(-> tptp.set_int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.int Bool)_ tptp.set_set_int tptp.set_int_o)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.int Bool)|)) (= (ho_6189 v ii) (ite (= i ii) e (ho_6189 u ii)))))))))) (let ((_let_6151 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.int Bool)_ tptp.set_set_int tptp.set_int_o)|) (y |u_(-> _u_(-> tptp.set_int tptp.int Bool)_ tptp.set_set_int tptp.set_int_o)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.int Bool)|)) (= (ho_6189 x z) (ho_6189 y z)))) (= x y))))) (let ((_let_6152 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|) (i |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12474 v ii) (ite (= i ii) e (ho_12474 u ii)))))))))) (let ((_let_6153 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)_ tptp.produc7812382424243267045t_unit tptp.produc3629471303718939987t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12474 x z) (ho_12474 y z)))) (= x y))))) (let ((_let_6154 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_16055 v ii) (ite (= i ii) e (ho_16055 u ii)))))))))) (let ((_let_6155 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_16055 x z) (ho_16055 y z)))) (= x y))))) (let ((_let_6156 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_7917 v ii) (ite (= i ii) e (ho_7917 u ii)))))))))) (let ((_let_6157 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> Bool _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_7917 x z) (ho_7917 y z)))) (= x y))))) (let ((_let_6158 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|) (e tptp.nat) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16054 v ii) (ite (= i ii) e (ho_16054 u ii)))))))))) (let ((_let_6159 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16054 x z) (ho_16054 y z)))) (= x y))))) (let ((_let_6160 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_6128 v ii) (ite (= i ii) e (ho_6128 u ii)))))))))) (let ((_let_6161 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_6128 x z) (ho_6128 y z)))) (= x y))))) (let ((_let_6162 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8719 v ii) (ite (= i ii) e (ho_8719 u ii)))))))))) (let ((_let_6163 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8719 x z) (ho_8719 y z)))) (= x y))))) (let ((_let_6164 (forall ((u |u_(-> tptp.set_nat tptp.set_char)|) (e tptp.set_char) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_char)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7214 v ii) (ite (= i ii) e (ho_7214 u ii)))))))))) (let ((_let_6165 (forall ((x |u_(-> tptp.set_nat tptp.set_char)|) (y |u_(-> tptp.set_nat tptp.set_char)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7214 x z) (ho_7214 y z)))) (= x y))))) (let ((_let_6166 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_11448 v ii) (ite (= i ii) e (ho_11448 u ii)))))))))) (let ((_let_6167 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_11448 x z) (ho_11448 y z)))) (= x y))))) (let ((_let_6168 (forall ((u |u_(-> tptp.product_unit tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4940 v ii) (ite (= i ii) e (ho_4940 u ii)))))))))) (let ((_let_6169 (forall ((x |u_(-> tptp.product_unit tptp.nat Bool)|) (y |u_(-> tptp.product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4940 x z) (ho_4940 y z)))) (= x y))))) (let ((_let_6170 (forall ((u |u_(-> Bool tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (e |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|)) (not (forall ((ii Bool)) (= (ho_16000 v ii) (ite (= i ii) e (ho_16000 u ii)))))))))) (let ((_let_6171 (forall ((x |u_(-> Bool tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (y |u_(-> Bool tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|)) (or (not (forall ((z Bool)) (= (ho_16000 x z) (ho_16000 y z)))) (= x y))))) (let ((_let_6172 (forall ((u |u_(-> tptp.int _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5322 v ii) (ite (= i ii) e (ho_5322 u ii)))))))))) (let ((_let_6173 (forall ((x |u_(-> tptp.int _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5322 x z) (ho_5322 y z)))) (= x y))))) (let ((_let_6174 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14077 v ii) (ite (= i ii) e (ho_14077 u ii)))))))))) (let ((_let_6175 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14077 x z) (ho_14077 y z)))) (= x y))))) (let ((_let_6176 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_8684 v ii) (ite (= i ii) e (ho_8684 u ii)))))))))) (let ((_let_6177 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_8684 x z) (ho_8684 y z)))) (= x y))))) (let ((_let_6178 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13034 v ii) (ite (= i ii) e (ho_13034 u ii)))))))))) (let ((_let_6179 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13034 x z) (ho_13034 y z)))) (= x y))))) (let ((_let_6180 (forall ((u |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6160 v ii) (ite (= i ii) e (ho_6160 u ii)))))))))) (let ((_let_6181 (forall ((x |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|) (y |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ Bool tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6160 x z) (ho_6160 y z)))) (= x y))))) (let ((_let_6182 (forall ((u |u_(-> tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|) (e tptp.set_Pr5582243495563764594_nat_o) (i tptp.set_nat_nat_o)) (not (forall ((v |u_(-> tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|)) (not (forall ((ii tptp.set_nat_nat_o)) (= (ho_6260 v ii) (ite (= i ii) e (ho_6260 u ii)))))))))) (let ((_let_6183 (forall ((x |u_(-> tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|) (y |u_(-> tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|)) (or (not (forall ((z tptp.set_nat_nat_o)) (= (ho_6260 x z) (ho_6260 y z)))) (= x y))))) (let ((_let_6184 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|) (e |u_(-> tptp.char tptp.int)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_11062 v ii) (ite (= i ii) e (ho_11062 u ii)))))))))) (let ((_let_6185 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_11062 x z) (ho_11062 y z)))) (= x y))))) (let ((_let_6186 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6157 v ii) (ite (= i ii) e (ho_6157 u ii)))))))))) (let ((_let_6187 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6157 x z) (ho_6157 y z)))) (= x y))))) (let ((_let_6188 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_13156 v ii) (ite (= i ii) e (ho_13156 u ii)))))))))) (let ((_let_6189 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_13156 x z) (ho_13156 y z)))) (= x y))))) (let ((_let_6190 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.product_unit tptp.set_int)|) (e |u_(-> tptp.set_int tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_6151 v ii) (ite (= i ii) e (ho_6151 u ii)))))))))) (let ((_let_6191 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_6151 x z) (ho_6151 y z)))) (= x y))))) (let ((_let_6192 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5565 v ii) (ite (= i ii) e (ho_5565 u ii)))))))))) (let ((_let_6193 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5565 x z) (ho_5565 y z)))) (= x y))))) (let ((_let_6194 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12818 v ii) (ite (= i ii) e (ho_12818 u ii)))))))))) (let ((_let_6195 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12818 x z) (ho_12818 y z)))) (= x y))))) (let ((_let_6196 (forall ((u |u_(-> tptp.set_ref_a Bool)|) (e Bool) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a Bool)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_9854 v ii) (ite (= i ii) e (ho_9854 u ii)))))))))) (let ((_let_6197 (forall ((x |u_(-> tptp.set_ref_a Bool)|) (y |u_(-> tptp.set_ref_a Bool)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_9854 x z) (ho_9854 y z)))) (= x y))))) (let ((_let_6198 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14116 v ii) (ite (= i ii) e (ho_14116 u ii)))))))))) (let ((_let_6199 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.ref_a tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14116 x z) (ho_14116 y z)))) (= x y))))) (let ((_let_6200 (forall ((u |u_(-> tptp.set_int tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.nat tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6144 v ii) (ite (= i ii) e (ho_6144 u ii)))))))))) (let ((_let_6201 (forall ((x |u_(-> tptp.set_int tptp.nat tptp.set_int)|) (y |u_(-> tptp.set_int tptp.nat tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6144 x z) (ho_6144 y z)))) (= x y))))) (let ((_let_6202 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|) (e |u_(-> tptp.int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7367 v ii) (ite (= i ii) e (ho_7367 u ii)))))))))) (let ((_let_6203 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7367 x z) (ho_7367 y z)))) (= x y))))) (let ((_let_6204 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|) (e |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6127 v ii) (ite (= i ii) e (ho_6127 u ii)))))))))) (let ((_let_6205 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6127 x z) (ho_6127 y z)))) (= x y))))) (let ((_let_6206 (forall ((u |u_(-> tptp.int Bool tptp.int Bool)|) (e |u_(-> Bool tptp.int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int Bool tptp.int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_15755 v ii) (ite (= i ii) e (ho_15755 u ii)))))))))) (let ((_let_6207 (forall ((x |u_(-> tptp.int Bool tptp.int Bool)|) (y |u_(-> tptp.int Bool tptp.int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_15755 x z) (ho_15755 y z)))) (= x y))))) (let ((_let_6208 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14718 v ii) (ite (= i ii) e (ho_14718 u ii)))))))))) (let ((_let_6209 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14718 x z) (ho_14718 y z)))) (= x y))))) (let ((_let_6210 (forall ((u |u_(-> tptp.set_o tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_o)) (= (ho_14421 v ii) (ite (= i ii) e (ho_14421 u ii)))))))))) (let ((_let_6211 (forall ((x |u_(-> tptp.set_o tptp.set_Product_unit)|) (y |u_(-> tptp.set_o tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_o)) (= (ho_14421 x z) (ho_14421 y z)))) (= x y))))) (let ((_let_6212 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_16053 v ii) (ite (= i ii) e (ho_16053 u ii)))))))))) (let ((_let_6213 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_16053 x z) (ho_16053 y z)))) (= x y))))) (let ((_let_6214 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6218 v ii) (ite (= i ii) e (ho_6218 u ii)))))))))) (let ((_let_6215 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6218 x z) (ho_6218 y z)))) (= x y))))) (let ((_let_6216 (forall ((u |u_(-> tptp.set_o tptp.set_o)|) (e tptp.set_o) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_4864 v ii) (ite (= i ii) e (ho_4864 u ii)))))))))) (let ((_let_6217 (forall ((x |u_(-> tptp.set_o tptp.set_o)|) (y |u_(-> tptp.set_o tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_4864 x z) (ho_4864 y z)))) (= x y))))) (let ((_let_6218 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10096 v ii) (ite (= i ii) e (ho_10096 u ii)))))))))) (let ((_let_6219 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10096 x z) (ho_10096 y z)))) (= x y))))) (let ((_let_6220 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15642 v ii) (ite (= i ii) e (ho_15642 u ii)))))))))) (let ((_let_6221 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15642 x z) (ho_15642 y z)))) (= x y))))) (let ((_let_6222 (forall ((u |u_(-> tptp.int tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((ii tptp.int)) (= (ho_6125 v ii) (ite (= i ii) e (ho_6125 u ii)))))))))) (let ((_let_6223 (forall ((x |u_(-> tptp.int tptp.set_Product_unit)|) (y |u_(-> tptp.int tptp.set_Product_unit)|)) (or (not (forall ((z tptp.int)) (= (ho_6125 x z) (ho_6125 y z)))) (= x y))))) (let ((_let_6224 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (= (ho_14180 v ii) (ite (= i ii) e (ho_14180 u ii)))))))))) (let ((_let_6225 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (= (ho_14180 x z) (ho_14180 y z)))) (= x y))))) (let ((_let_6226 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (= (ho_14146 v ii) (ite (= i ii) e (ho_14146 u ii)))))))))) (let ((_let_6227 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.produc1799199577659733785_ref_a)|)) (= (ho_14146 x z) (ho_14146 y z)))) (= x y))))) (let ((_let_6228 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6119 v ii) (ite (= i ii) e (ho_6119 u ii)))))))))) (let ((_let_6229 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6119 x z) (ho_6119 y z)))) (= x y))))) (let ((_let_6230 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6116 v ii) (ite (= i ii) e (ho_6116 u ii)))))))))) (let ((_let_6231 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6116 x z) (ho_6116 y z)))) (= x y))))) (let ((_let_6232 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_6114 v ii) (ite (= i ii) e (ho_6114 u ii)))))))))) (let ((_let_6233 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_6114 x z) (ho_6114 y z)))) (= x y))))) (let ((_let_6234 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_15098 v ii) (ite (= i ii) e (ho_15098 u ii)))))))))) (let ((_let_6235 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.product_unit)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_15098 x z) (ho_15098 y z)))) (= x y))))) (let ((_let_6236 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13892 v ii) (ite (= i ii) e (ho_13892 u ii)))))))))) (let ((_let_6237 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13892 x z) (ho_13892 y z)))) (= x y))))) (let ((_let_6238 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_4878 v ii) (ite (= i ii) e (ho_4878 u ii)))))))))) (let ((_let_6239 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_4878 x z) (ho_4878 y z)))) (= x y))))) (let ((_let_6240 (forall ((u |u_(-> tptp.nat tptp.set_o tptp.nat tptp.set_o)|) (e |u_(-> tptp.set_o tptp.nat tptp.set_o)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_o tptp.nat tptp.set_o)|)) (not (forall ((ii tptp.nat)) (= (ho_7476 v ii) (ite (= i ii) e (ho_7476 u ii)))))))))) (let ((_let_6241 (forall ((x |u_(-> tptp.nat tptp.set_o tptp.nat tptp.set_o)|) (y |u_(-> tptp.nat tptp.set_o tptp.nat tptp.set_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_7476 x z) (ho_7476 y z)))) (= x y))))) (let ((_let_6242 (forall ((u |u_(-> tptp.ref_a tptp.ref_a tptp.produc5288414631154139675_ref_a)|) (e |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_10422 v ii) (ite (= i ii) e (ho_10422 u ii)))))))))) (let ((_let_6243 (forall ((x |u_(-> tptp.ref_a tptp.ref_a tptp.produc5288414631154139675_ref_a)|) (y |u_(-> tptp.ref_a tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_10422 x z) (ho_10422 y z)))) (= x y))))) (let ((_let_6244 (forall ((u |u_(-> tptp.product_prod_int_int tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_16052 v ii) (ite (= i ii) e (ho_16052 u ii)))))))))) (let ((_let_6245 (forall ((x |u_(-> tptp.product_prod_int_int tptp.int Bool)|) (y |u_(-> tptp.product_prod_int_int tptp.int Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_16052 x z) (ho_16052 y z)))) (= x y))))) (let ((_let_6246 (forall ((u |u_(-> tptp.rat tptp.int)|) (e tptp.int) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.int)|)) (not (forall ((ii tptp.rat)) (= (ho_6800 v ii) (ite (= i ii) e (ho_6800 u ii)))))))))) (let ((_let_6247 (forall ((x |u_(-> tptp.rat tptp.int)|) (y |u_(-> tptp.rat tptp.int)|)) (or (not (forall ((z tptp.rat)) (= (ho_6800 x z) (ho_6800 y z)))) (= x y))))) (let ((_let_6248 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5935 v ii) (ite (= i ii) e (ho_5935 u ii)))))))))) (let ((_let_6249 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5935 x z) (ho_5935 y z)))) (= x y))))) (let ((_let_6250 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_13853 v ii) (ite (= i ii) e (ho_13853 u ii)))))))))) (let ((_let_6251 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_13853 x z) (ho_13853 y z)))) (= x y))))) (let ((_let_6252 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10611 v ii) (ite (= i ii) e (ho_10611 u ii)))))))))) (let ((_let_6253 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10611 x z) (ho_10611 y z)))) (= x y))))) (let ((_let_6254 (forall ((u |u_(-> tptp.set_int_int tptp.set_int_nat)|) (e tptp.set_int_nat) (i tptp.set_int_int)) (not (forall ((v |u_(-> tptp.set_int_int tptp.set_int_nat)|)) (not (forall ((ii tptp.set_int_int)) (= (ho_15811 v ii) (ite (= i ii) e (ho_15811 u ii)))))))))) (let ((_let_6255 (forall ((x |u_(-> tptp.set_int_int tptp.set_int_nat)|) (y |u_(-> tptp.set_int_int tptp.set_int_nat)|)) (or (not (forall ((z tptp.set_int_int)) (= (ho_15811 x z) (ho_15811 y z)))) (= x y))))) (let ((_let_6256 (forall ((u |u_(-> tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_Pr5582243495563764594_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_Pr5582243495563764594_nat_o)) (= (ho_6219 v ii) (ite (= i ii) e (ho_6219 u ii)))))))))) (let ((_let_6257 (forall ((x |u_(-> tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_Pr5582243495563764594_nat_o tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_Pr5582243495563764594_nat_o)) (= (ho_6219 x z) (ho_6219 y z)))) (= x y))))) (let ((_let_6258 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (= (ho_14428 v ii) (ite (= i ii) e (ho_14428 u ii)))))))))) (let ((_let_6259 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr6084635751276098665at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_rat_nat)|)) (= (ho_14428 x z) (ho_14428 y z)))) (= x y))))) (let ((_let_6260 (forall ((u |u_(-> tptp.set_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_o)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7252 v ii) (ite (= i ii) e (ho_7252 u ii)))))))))) (let ((_let_6261 (forall ((x |u_(-> tptp.set_nat tptp.set_o)|) (y |u_(-> tptp.set_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7252 x z) (ho_7252 y z)))) (= x y))))) (let ((_let_6262 (forall ((u |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii Bool)) (= (ho_4621 v ii) (ite (= i ii) e (ho_4621 u ii)))))))))) (let ((_let_6263 (forall ((x |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z Bool)) (= (ho_4621 x z) (ho_4621 y z)))) (= x y))))) (let ((_let_6264 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_15579 v ii) (ite (= i ii) e (ho_15579 u ii)))))))))) (let ((_let_6265 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_15579 x z) (ho_15579 y z)))) (= x y))))) (let ((_let_6266 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_int)|) (e tptp.set_int) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_int)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_6108 v ii) (ite (= i ii) e (ho_6108 u ii)))))))))) (let ((_let_6267 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_int)|) (y |u_(-> tptp.set_Product_unit tptp.set_int)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_6108 x z) (ho_6108 y z)))) (= x y))))) (let ((_let_6268 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14175 v ii) (ite (= i ii) e (ho_14175 u ii)))))))))) (let ((_let_6269 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_14175 x z) (ho_14175 y z)))) (= x y))))) (let ((_let_6270 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7055 v ii) (ite (= i ii) e (ho_7055 u ii)))))))))) (let ((_let_6271 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7055 x z) (ho_7055 y z)))) (= x y))))) (let ((_let_6272 (forall ((u |u_(-> tptp.set_nat tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat tptp.set_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_9998 v ii) (ite (= i ii) e (ho_9998 u ii)))))))))) (let ((_let_6273 (forall ((x |u_(-> tptp.set_nat tptp.nat tptp.set_rat)|) (y |u_(-> tptp.set_nat tptp.nat tptp.set_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_9998 x z) (ho_9998 y z)))) (= x y))))) (let ((_let_6274 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.nat)|) (e |u_(-> tptp.product_prod_nat_num tptp.nat)|) (i |u_(-> tptp.nat tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.nat)|)) (= (ho_13812 v ii) (ite (= i ii) e (ho_13812 u ii)))))))))) (let ((_let_6275 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.nat)_ tptp.product_prod_nat_num tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.nat)|)) (= (ho_13812 x z) (ho_13812 y z)))) (= x y))))) (let ((_let_6276 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5771 v ii) (ite (= i ii) e (ho_5771 u ii)))))))))) (let ((_let_6277 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5771 x z) (ho_5771 y z)))) (= x y))))) (let ((_let_6278 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6789 v ii) (ite (= i ii) e (ho_6789 u ii)))))))))) (let ((_let_6279 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6789 x z) (ho_6789 y z)))) (= x y))))) (let ((_let_6280 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ Bool tptp.num)|) (e |u_(-> _u_(-> tptp.num Bool)_ Bool tptp.num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ Bool tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_7339 v ii) (ite (= i ii) e (ho_7339 u ii)))))))))) (let ((_let_6281 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ Bool tptp.num)|) (y |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ Bool tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7339 x z) (ho_7339 y z)))) (= x y))))) (let ((_let_6282 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12927 v ii) (ite (= i ii) e (ho_12927 u ii)))))))))) (let ((_let_6283 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12927 x z) (ho_12927 y z)))) (= x y))))) (let ((_let_6284 (forall ((u |u_(-> Bool tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii Bool)) (= (ho_6762 v ii) (ite (= i ii) e (ho_6762 u ii)))))))))) (let ((_let_6285 (forall ((x |u_(-> Bool tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> Bool tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z Bool)) (= (ho_6762 x z) (ho_6762 y z)))) (= x y))))) (let ((_let_6286 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (= (ho_12580 v ii) (ite (= i ii) e (ho_12580 u ii)))))))))) (let ((_let_6287 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_int)|)) (= (ho_12580 x z) (ho_12580 y z)))) (= x y))))) (let ((_let_6288 (forall ((u |u_(-> Bool tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii Bool)) (= (ho_7863 v ii) (ite (= i ii) e (ho_7863 u ii)))))))))) (let ((_let_6289 (forall ((x |u_(-> Bool tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> Bool tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_7863 x z) (ho_7863 y z)))) (= x y))))) (let ((_let_6290 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13100 v ii) (ite (= i ii) e (ho_13100 u ii)))))))))) (let ((_let_6291 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13100 x z) (ho_13100 y z)))) (= x y))))) (let ((_let_6292 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6354 v ii) (ite (= i ii) e (ho_6354 u ii)))))))))) (let ((_let_6293 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6354 x z) (ho_6354 y z)))) (= x y))))) (let ((_let_6294 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_11540 v ii) (ite (= i ii) e (ho_11540 u ii)))))))))) (let ((_let_6295 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_11540 x z) (ho_11540 y z)))) (= x y))))) (let ((_let_6296 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_6665 v ii) (ite (= i ii) e (ho_6665 u ii)))))))))) (let ((_let_6297 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_6665 x z) (ho_6665 y z)))) (= x y))))) (let ((_let_6298 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5662 v ii) (ite (= i ii) e (ho_5662 u ii)))))))))) (let ((_let_6299 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5662 x z) (ho_5662 y z)))) (= x y))))) (let ((_let_6300 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8850 v ii) (ite (= i ii) e (ho_8850 u ii)))))))))) (let ((_let_6301 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8850 x z) (ho_8850 y z)))) (= x y))))) (let ((_let_6302 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5555 v ii) (ite (= i ii) e (ho_5555 u ii)))))))))) (let ((_let_6303 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5555 x z) (ho_5555 y z)))) (= x y))))) (let ((_let_6304 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_6096 v ii) (ite (= i ii) e (ho_6096 u ii)))))))))) (let ((_let_6305 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_6096 x z) (ho_6096 y z)))) (= x y))))) (let ((_let_6306 (forall ((u |u_(-> tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|) (e |u_(-> tptp.nat tptp.product_unit tptp.nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15758 v ii) (ite (= i ii) e (ho_15758 u ii)))))))))) (let ((_let_6307 (forall ((x |u_(-> tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|) (y |u_(-> tptp.product_unit tptp.nat tptp.product_unit tptp.nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15758 x z) (ho_15758 y z)))) (= x y))))) (let ((_let_6308 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|) (e |u_(-> Bool tptp.set_int)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_6097 v ii) (ite (= i ii) e (ho_6097 u ii)))))))))) (let ((_let_6309 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_6097 x z) (ho_6097 y z)))) (= x y))))) (let ((_let_6310 (forall ((u |u_(-> tptp.int tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5250 v ii) (ite (= i ii) e (ho_5250 u ii)))))))))) (let ((_let_6311 (forall ((x |u_(-> tptp.int tptp.int Bool)|) (y |u_(-> tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5250 x z) (ho_5250 y z)))) (= x y))))) (let ((_let_6312 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5969 v ii) (ite (= i ii) e (ho_5969 u ii)))))))))) (let ((_let_6313 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5969 x z) (ho_5969 y z)))) (= x y))))) (let ((_let_6314 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14620 v ii) (ite (= i ii) e (ho_14620 u ii)))))))))) (let ((_let_6315 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4155430604743465615at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14620 x z) (ho_14620 y z)))) (= x y))))) (let ((_let_6316 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|)) (= (ho_13085 v ii) (ite (= i ii) e (ho_13085 u ii)))))))))) (let ((_let_6317 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)|)) (= (ho_13085 x z) (ho_13085 y z)))) (= x y))))) (let ((_let_6318 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6088 v ii) (ite (= i ii) e (ho_6088 u ii)))))))))) (let ((_let_6319 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6088 x z) (ho_6088 y z)))) (= x y))))) (let ((_let_6320 (forall ((u |u_(-> tptp.rat tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.product_prod_int_int)|)) (not (forall ((ii tptp.rat)) (= (ho_8094 v ii) (ite (= i ii) e (ho_8094 u ii)))))))))) (let ((_let_6321 (forall ((x |u_(-> tptp.rat tptp.product_prod_int_int)|) (y |u_(-> tptp.rat tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.rat)) (= (ho_8094 x z) (ho_8094 y z)))) (= x y))))) (let ((_let_6322 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_6090 v ii) (ite (= i ii) e (ho_6090 u ii)))))))))) (let ((_let_6323 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6090 x z) (ho_6090 y z)))) (= x y))))) (let ((_let_6324 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_6585 v ii) (ite (= i ii) e (ho_6585 u ii)))))))))) (let ((_let_6325 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_6585 x z) (ho_6585 y z)))) (= x y))))) (let ((_let_6326 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_15725 v ii) (ite (= i ii) e (ho_15725 u ii)))))))))) (let ((_let_6327 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.int)|) (y |u_(-> _u_(-> tptp.int Bool)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_15725 x z) (ho_15725 y z)))) (= x y))))) (let ((_let_6328 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6084 v ii) (ite (= i ii) e (ho_6084 u ii)))))))))) (let ((_let_6329 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6084 x z) (ho_6084 y z)))) (= x y))))) (let ((_let_6330 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6085 v ii) (ite (= i ii) e (ho_6085 u ii)))))))))) (let ((_let_6331 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6085 x z) (ho_6085 y z)))) (= x y))))) (let ((_let_6332 (forall ((u |u_(-> tptp.int tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.int)) (= (ho_4609 v ii) (ite (= i ii) e (ho_4609 u ii)))))))))) (let ((_let_6333 (forall ((x |u_(-> tptp.int tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.int)) (= (ho_4609 x z) (ho_4609 y z)))) (= x y))))) (let ((_let_6334 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7168 v ii) (ite (= i ii) e (ho_7168 u ii)))))))))) (let ((_let_6335 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7168 x z) (ho_7168 y z)))) (= x y))))) (let ((_let_6336 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8796 v ii) (ite (= i ii) e (ho_8796 u ii)))))))))) (let ((_let_6337 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8796 x z) (ho_8796 y z)))) (= x y))))) (let ((_let_6338 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5677 v ii) (ite (= i ii) e (ho_5677 u ii)))))))))) (let ((_let_6339 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5677 x z) (ho_5677 y z)))) (= x y))))) (let ((_let_6340 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12772 v ii) (ite (= i ii) e (ho_12772 u ii)))))))))) (let ((_let_6341 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12772 x z) (ho_12772 y z)))) (= x y))))) (let ((_let_6342 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Product_unit Bool tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8523 v ii) (ite (= i ii) e (ho_8523 u ii)))))))))) (let ((_let_6343 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Product_unit Bool tptp.set_Product_unit)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8523 x z) (ho_8523 y z)))) (= x y))))) (let ((_let_6344 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (= (ho_12705 v ii) (ite (= i ii) e (ho_12705 u ii)))))))))) (let ((_let_6345 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.nat)|)) (= (ho_12705 x z) (ho_12705 y z)))) (= x y))))) (let ((_let_6346 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_rat)|) (e tptp.product_prod_nat_rat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_rat)|)) (not (forall ((ii tptp.nat)) (= (ho_10295 v ii) (ite (= i ii) e (ho_10295 u ii)))))))))) (let ((_let_6347 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_rat)|) (y |u_(-> tptp.nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10295 x z) (ho_10295 y z)))) (= x y))))) (let ((_let_6348 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (= (ho_12920 v ii) (ite (= i ii) e (ho_12920 u ii)))))))))) (let ((_let_6349 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> tptp.nat tptp.product_prod_o_nat)_ tptp.nat tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (= (ho_12920 x z) (ho_12920 y z)))) (= x y))))) (let ((_let_6350 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.set_o tptp.int Bool)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8701 v ii) (ite (= i ii) e (ho_8701 u ii)))))))))) (let ((_let_6351 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8701 x z) (ho_8701 y z)))) (= x y))))) (let ((_let_6352 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10597 v ii) (ite (= i ii) e (ho_10597 u ii)))))))))) (let ((_let_6353 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10597 x z) (ho_10597 y z)))) (= x y))))) (let ((_let_6354 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8309 v ii) (ite (= i ii) e (ho_8309 u ii)))))))))) (let ((_let_6355 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8309 x z) (ho_8309 y z)))) (= x y))))) (let ((_let_6356 (forall ((u |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|) (e tptp.set_Pr3309569728657787619r_char) (i tptp.set_Pr4256460214963601898ar_rat)) (not (forall ((v |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13428 v ii) (ite (= i ii) e (ho_13428 u ii)))))))))) (let ((_let_6357 (forall ((x |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z tptp.set_Pr4256460214963601898ar_rat)) (= (ho_13428 x z) (ho_13428 y z)))) (= x y))))) (let ((_let_6358 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15829 v ii) (ite (= i ii) e (ho_15829 u ii)))))))))) (let ((_let_6359 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15829 x z) (ho_15829 y z)))) (= x y))))) (let ((_let_6360 (forall ((u |u_(-> tptp.product_prod_nat_nat Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10845 v ii) (ite (= i ii) e (ho_10845 u ii)))))))))) (let ((_let_6361 (forall ((x |u_(-> tptp.product_prod_nat_nat Bool Bool)|) (y |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10845 x z) (ho_10845 y z)))) (= x y))))) (let ((_let_6362 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_6963 v ii) (ite (= i ii) e (ho_6963 u ii)))))))))) (let ((_let_6363 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_6963 x z) (ho_6963 y z)))) (= x y))))) (let ((_let_6364 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_14864 v ii) (ite (= i ii) e (ho_14864 u ii)))))))))) (let ((_let_6365 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_14864 x z) (ho_14864 y z)))) (= x y))))) (let ((_let_6366 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.produc859450856879609959at_nat Bool)|) (e |u_(-> tptp.produc859450856879609959at_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.produc859450856879609959at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12269 v ii) (ite (= i ii) e (ho_12269 u ii)))))))))) (let ((_let_6367 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.produc859450856879609959at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.produc859450856879609959at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12269 x z) (ho_12269 y z)))) (= x y))))) (let ((_let_6368 (forall ((u |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5769 v ii) (ite (= i ii) e (ho_5769 u ii)))))))))) (let ((_let_6369 (forall ((x |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5769 x z) (ho_5769 y z)))) (= x y))))) (let ((_let_6370 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_8613 v ii) (ite (= i ii) e (ho_8613 u ii)))))))))) (let ((_let_6371 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_8613 x z) (ho_8613 y z)))) (= x y))))) (let ((_let_6372 (forall ((u |u_(-> tptp.set_nat tptp.set_int_nat)|) (e tptp.set_int_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_int_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15782 v ii) (ite (= i ii) e (ho_15782 u ii)))))))))) (let ((_let_6373 (forall ((x |u_(-> tptp.set_nat tptp.set_int_nat)|) (y |u_(-> tptp.set_nat tptp.set_int_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15782 x z) (ho_15782 y z)))) (= x y))))) (let ((_let_6374 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_6064 v ii) (ite (= i ii) e (ho_6064 u ii)))))))))) (let ((_let_6375 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_6064 x z) (ho_6064 y z)))) (= x y))))) (let ((_let_6376 (forall ((u |u_(-> tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_Pr7010166363911110284_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_Pr7010166363911110284_nat_o)) (= (ho_6228 v ii) (ite (= i ii) e (ho_6228 u ii)))))))))) (let ((_let_6377 (forall ((x |u_(-> tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_Pr7010166363911110284_nat_o tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_Pr7010166363911110284_nat_o)) (= (ho_6228 x z) (ho_6228 y z)))) (= x y))))) (let ((_let_6378 (forall ((u |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_6062 v ii) (ite (= i ii) e (ho_6062 u ii)))))))))) (let ((_let_6379 (forall ((x |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_6062 x z) (ho_6062 y z)))) (= x y))))) (let ((_let_6380 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_9865 v ii) (ite (= i ii) e (ho_9865 u ii)))))))))) (let ((_let_6381 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_9865 x z) (ho_9865 y z)))) (= x y))))) (let ((_let_6382 (forall ((u |u_(-> tptp.code_integer tptp.code_integer tptp.int)|) (e |u_(-> tptp.code_integer tptp.int)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer tptp.int)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5437 v ii) (ite (= i ii) e (ho_5437 u ii)))))))))) (let ((_let_6383 (forall ((x |u_(-> tptp.code_integer tptp.code_integer tptp.int)|) (y |u_(-> tptp.code_integer tptp.code_integer tptp.int)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5437 x z) (ho_5437 y z)))) (= x y))))) (let ((_let_6384 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10739 v ii) (ite (= i ii) e (ho_10739 u ii)))))))))) (let ((_let_6385 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10739 x z) (ho_10739 y z)))) (= x y))))) (let ((_let_6386 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|) (e |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (= (ho_15624 v ii) (ite (= i ii) e (ho_15624 u ii)))))))))) (let ((_let_6387 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (= (ho_15624 x z) (ho_15624 y z)))) (= x y))))) (let ((_let_6388 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_6806 v ii) (ite (= i ii) e (ho_6806 u ii)))))))))) (let ((_let_6389 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_6806 x z) (ho_6806 y z)))) (= x y))))) (let ((_let_6390 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_o)|) (e tptp.product_prod_num_o) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_12608 v ii) (ite (= i ii) e (ho_12608 u ii)))))))))) (let ((_let_6391 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_o)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_12608 x z) (ho_12608 y z)))) (= x y))))) (let ((_let_6392 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9714 v ii) (ite (= i ii) e (ho_9714 u ii)))))))))) (let ((_let_6393 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9714 x z) (ho_9714 y z)))) (= x y))))) (let ((_let_6394 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15127 v ii) (ite (= i ii) e (ho_15127 u ii)))))))))) (let ((_let_6395 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_15127 x z) (ho_15127 y z)))) (= x y))))) (let ((_let_6396 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|) (e |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5609 v ii) (ite (= i ii) e (ho_5609 u ii)))))))))) (let ((_let_6397 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5609 x z) (ho_5609 y z)))) (= x y))))) (let ((_let_6398 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (= (ho_12235 v ii) (ite (= i ii) e (ho_12235 u ii)))))))))) (let ((_let_6399 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (= (ho_12235 x z) (ho_12235 y z)))) (= x y))))) (let ((_let_6400 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_9785 v ii) (ite (= i ii) e (ho_9785 u ii)))))))))) (let ((_let_6401 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_9785 x z) (ho_9785 y z)))) (= x y))))) (let ((_let_6402 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_o tptp.set_se7855581050983116737at_nat)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6873 v ii) (ite (= i ii) e (ho_6873 u ii)))))))))) (let ((_let_6403 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6873 x z) (ho_6873 y z)))) (= x y))))) (let ((_let_6404 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6040 v ii) (ite (= i ii) e (ho_6040 u ii)))))))))) (let ((_let_6405 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (y |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6040 x z) (ho_6040 y z)))) (= x y))))) (let ((_let_6406 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13787 v ii) (ite (= i ii) e (ho_13787 u ii)))))))))) (let ((_let_6407 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13787 x z) (ho_13787 y z)))) (= x y))))) (let ((_let_6408 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_6025 v ii) (ite (= i ii) e (ho_6025 u ii)))))))))) (let ((_let_6409 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.product_unit tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_6025 x z) (ho_6025 y z)))) (= x y))))) (let ((_let_6410 (forall ((u |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.product_unit tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6026 v ii) (ite (= i ii) e (ho_6026 u ii)))))))))) (let ((_let_6411 (forall ((x |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|) (y |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6026 x z) (ho_6026 y z)))) (= x y))))) (let ((_let_6412 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_11933 v ii) (ite (= i ii) e (ho_11933 u ii)))))))))) (let ((_let_6413 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_11933 x z) (ho_11933 y z)))) (= x y))))) (let ((_let_6414 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (e |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (i |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (= (ho_12546 v ii) (ite (= i ii) e (ho_12546 u ii)))))))))) (let ((_let_6415 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)_ tptp.product_prod_int_nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (= (ho_12546 x z) (ho_12546 y z)))) (= x y))))) (let ((_let_6416 (forall ((u |u_(-> tptp.product_unit tptp.set_o)|) (e tptp.set_o) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((ii tptp.product_unit)) (= (ho_6023 v ii) (ite (= i ii) e (ho_6023 u ii)))))))))) (let ((_let_6417 (forall ((x |u_(-> tptp.product_unit tptp.set_o)|) (y |u_(-> tptp.product_unit tptp.set_o)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_6023 x z) (ho_6023 y z)))) (= x y))))) (let ((_let_6418 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.int tptp.int)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12658 v ii) (ite (= i ii) e (ho_12658 u ii)))))))))) (let ((_let_6419 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.int tptp.int)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12658 x z) (ho_12658 y z)))) (= x y))))) (let ((_let_6420 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11713 v ii) (ite (= i ii) e (ho_11713 u ii)))))))))) (let ((_let_6421 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11713 x z) (ho_11713 y z)))) (= x y))))) (let ((_let_6422 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (e |u_(-> tptp.code_integer tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_5444 v ii) (ite (= i ii) e (ho_5444 u ii)))))))))) (let ((_let_6423 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_5444 x z) (ho_5444 y z)))) (= x y))))) (let ((_let_6424 (forall ((u |u_(-> tptp.set_o Bool tptp.set_o)|) (e |u_(-> Bool tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6021 v ii) (ite (= i ii) e (ho_6021 u ii)))))))))) (let ((_let_6425 (forall ((x |u_(-> tptp.set_o Bool tptp.set_o)|) (y |u_(-> tptp.set_o Bool tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6021 x z) (ho_6021 y z)))) (= x y))))) (let ((_let_6426 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13006 v ii) (ite (= i ii) e (ho_13006 u ii)))))))))) (let ((_let_6427 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13006 x z) (ho_13006 y z)))) (= x y))))) (let ((_let_6428 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7836 v ii) (ite (= i ii) e (ho_7836 u ii)))))))))) (let ((_let_6429 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7836 x z) (ho_7836 y z)))) (= x y))))) (let ((_let_6430 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10399 v ii) (ite (= i ii) e (ho_10399 u ii)))))))))) (let ((_let_6431 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10399 x z) (ho_10399 y z)))) (= x y))))) (let ((_let_6432 (forall ((u |u_(-> tptp.nat tptp.set_o)|) (e tptp.set_o) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((ii tptp.nat)) (= (ho_6011 v ii) (ite (= i ii) e (ho_6011 u ii)))))))))) (let ((_let_6433 (forall ((x |u_(-> tptp.nat tptp.set_o)|) (y |u_(-> tptp.nat tptp.set_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_6011 x z) (ho_6011 y z)))) (= x y))))) (let ((_let_6434 (forall ((u |u_(-> tptp.nat tptp.product_prod_rat_rat)|) (e tptp.product_prod_rat_rat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_rat_rat)|)) (not (forall ((ii tptp.nat)) (= (ho_7438 v ii) (ite (= i ii) e (ho_7438 u ii)))))))))) (let ((_let_6435 (forall ((x |u_(-> tptp.nat tptp.product_prod_rat_rat)|) (y |u_(-> tptp.nat tptp.product_prod_rat_rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7438 x z) (ho_7438 y z)))) (= x y))))) (let ((_let_6436 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_9878 v ii) (ite (= i ii) e (ho_9878 u ii)))))))))) (let ((_let_6437 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_9878 x z) (ho_9878 y z)))) (= x y))))) (let ((_let_6438 (forall ((u |u_(-> tptp.int tptp.int tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.int tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.int tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_7047 v ii) (ite (= i ii) e (ho_7047 u ii)))))))))) (let ((_let_6439 (forall ((x |u_(-> tptp.int tptp.int tptp.int tptp.nat)|) (y |u_(-> tptp.int tptp.int tptp.int tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_7047 x z) (ho_7047 y z)))) (= x y))))) (let ((_let_6440 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12895 v ii) (ite (= i ii) e (ho_12895 u ii)))))))))) (let ((_let_6441 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12895 x z) (ho_12895 y z)))) (= x y))))) (let ((_let_6442 (forall ((u |u_(-> Bool tptp.char)|) (e tptp.char) (i Bool)) (not (forall ((v |u_(-> Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_7219 v ii) (ite (= i ii) e (ho_7219 u ii)))))))))) (let ((_let_6443 (forall ((x |u_(-> Bool tptp.char)|) (y |u_(-> Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_7219 x z) (ho_7219 y z)))) (= x y))))) (let ((_let_6444 (forall ((u |u_(-> tptp.rat tptp.set_int)|) (e tptp.set_int) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.set_int)|)) (not (forall ((ii tptp.rat)) (= (ho_7418 v ii) (ite (= i ii) e (ho_7418 u ii)))))))))) (let ((_let_6445 (forall ((x |u_(-> tptp.rat tptp.set_int)|) (y |u_(-> tptp.rat tptp.set_int)|)) (or (not (forall ((z tptp.rat)) (= (ho_7418 x z) (ho_7418 y z)))) (= x y))))) (let ((_let_6446 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|) (e tptp.set_Pr2539167527615954998at_nat) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_14593 v ii) (ite (= i ii) e (ho_14593 u ii)))))))))) (let ((_let_6447 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr2539167527615954998at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_14593 x z) (ho_14593 y z)))) (= x y))))) (let ((_let_6448 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9771 v ii) (ite (= i ii) e (ho_9771 u ii)))))))))) (let ((_let_6449 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9771 x z) (ho_9771 y z)))) (= x y))))) (let ((_let_6450 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int Bool)|) (e |u_(-> tptp.set_set_int Bool)|) (i |u_(-> tptp.set_int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int Bool)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_nat)|)) (= (ho_15293 v ii) (ite (= i ii) e (ho_15293 u ii)))))))))) (let ((_let_6451 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int Bool)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_nat)|)) (= (ho_15293 x z) (ho_15293 y z)))) (= x y))))) (let ((_let_6452 (forall ((u |u_(-> tptp.int tptp.int tptp.set_o)|) (e |u_(-> tptp.int tptp.set_o)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.set_o)|)) (not (forall ((ii tptp.int)) (= (ho_12155 v ii) (ite (= i ii) e (ho_12155 u ii)))))))))) (let ((_let_6453 (forall ((x |u_(-> tptp.int tptp.int tptp.set_o)|) (y |u_(-> tptp.int tptp.int tptp.set_o)|)) (or (not (forall ((z tptp.int)) (= (ho_12155 x z) (ho_12155 y z)))) (= x y))))) (let ((_let_6454 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8725 v ii) (ite (= i ii) e (ho_8725 u ii)))))))))) (let ((_let_6455 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8725 x z) (ho_8725 y z)))) (= x y))))) (let ((_let_6456 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_9745 v ii) (ite (= i ii) e (ho_9745 u ii)))))))))) (let ((_let_6457 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_9745 x z) (ho_9745 y z)))) (= x y))))) (let ((_let_6458 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10191 v ii) (ite (= i ii) e (ho_10191 u ii)))))))))) (let ((_let_6459 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10191 x z) (ho_10191 y z)))) (= x y))))) (let ((_let_6460 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5934 v ii) (ite (= i ii) e (ho_5934 u ii)))))))))) (let ((_let_6461 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5934 x z) (ho_5934 y z)))) (= x y))))) (let ((_let_6462 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11392 v ii) (ite (= i ii) e (ho_11392 u ii)))))))))) (let ((_let_6463 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11392 x z) (ho_11392 y z)))) (= x y))))) (let ((_let_6464 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_4513 v ii) (ite (= i ii) e (ho_4513 u ii)))))))))) (let ((_let_6465 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_4513 x z) (ho_4513 y z)))) (= x y))))) (let ((_let_6466 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13012 v ii) (ite (= i ii) e (ho_13012 u ii)))))))))) (let ((_let_6467 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13012 x z) (ho_13012 y z)))) (= x y))))) (let ((_let_6468 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii Bool)) (= (ho_7937 v ii) (ite (= i ii) e (ho_7937 u ii)))))))))) (let ((_let_6469 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> Bool _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z Bool)) (= (ho_7937 x z) (ho_7937 y z)))) (= x y))))) (let ((_let_6470 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5919 v ii) (ite (= i ii) e (ho_5919 u ii)))))))))) (let ((_let_6471 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5919 x z) (ho_5919 y z)))) (= x y))))) (let ((_let_6472 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14779 v ii) (ite (= i ii) e (ho_14779 u ii)))))))))) (let ((_let_6473 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14779 x z) (ho_14779 y z)))) (= x y))))) (let ((_let_6474 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_6596 v ii) (ite (= i ii) e (ho_6596 u ii)))))))))) (let ((_let_6475 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_6596 x z) (ho_6596 y z)))) (= x y))))) (let ((_let_6476 (forall ((u |u_(-> tptp.set_char tptp.nat tptp.set_char)|) (e |u_(-> tptp.nat tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.nat tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8818 v ii) (ite (= i ii) e (ho_8818 u ii)))))))))) (let ((_let_6477 (forall ((x |u_(-> tptp.set_char tptp.nat tptp.set_char)|) (y |u_(-> tptp.set_char tptp.nat tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8818 x z) (ho_8818 y z)))) (= x y))))) (let ((_let_6478 (forall ((u |u_(-> tptp.char tptp.product_unit)|) (e tptp.product_unit) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.product_unit)|)) (not (forall ((ii tptp.char)) (= (ho_7236 v ii) (ite (= i ii) e (ho_7236 u ii)))))))))) (let ((_let_6479 (forall ((x |u_(-> tptp.char tptp.product_unit)|) (y |u_(-> tptp.char tptp.product_unit)|)) (or (not (forall ((z tptp.char)) (= (ho_7236 x z) (ho_7236 y z)))) (= x y))))) (let ((_let_6480 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5909 v ii) (ite (= i ii) e (ho_5909 u ii)))))))))) (let ((_let_6481 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5909 x z) (ho_5909 y z)))) (= x y))))) (let ((_let_6482 (forall ((u |u_(-> _u_(-> tptp.produc556289286640904991nt_int Bool)_ tptp.set_Pr7098892610798258687nt_int)|) (e tptp.set_Pr7098892610798258687nt_int) (i |u_(-> tptp.produc556289286640904991nt_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc556289286640904991nt_int Bool)_ tptp.set_Pr7098892610798258687nt_int)|)) (not (forall ((ii |u_(-> tptp.produc556289286640904991nt_int Bool)|)) (= (ho_14597 v ii) (ite (= i ii) e (ho_14597 u ii)))))))))) (let ((_let_6483 (forall ((x |u_(-> _u_(-> tptp.produc556289286640904991nt_int Bool)_ tptp.set_Pr7098892610798258687nt_int)|) (y |u_(-> _u_(-> tptp.produc556289286640904991nt_int Bool)_ tptp.set_Pr7098892610798258687nt_int)|)) (or (not (forall ((z |u_(-> tptp.produc556289286640904991nt_int Bool)|)) (= (ho_14597 x z) (ho_14597 y z)))) (= x y))))) (let ((_let_6484 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_7466 v ii) (ite (= i ii) e (ho_7466 u ii)))))))))) (let ((_let_6485 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_7466 x z) (ho_7466 y z)))) (= x y))))) (let ((_let_6486 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7729 v ii) (ite (= i ii) e (ho_7729 u ii)))))))))) (let ((_let_6487 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7729 x z) (ho_7729 y z)))) (= x y))))) (let ((_let_6488 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (= (ho_15269 v ii) (ite (= i ii) e (ho_15269 u ii)))))))))) (let ((_let_6489 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (= (ho_15269 x z) (ho_15269 y z)))) (= x y))))) (let ((_let_6490 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5696 v ii) (ite (= i ii) e (ho_5696 u ii)))))))))) (let ((_let_6491 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5696 x z) (ho_5696 y z)))) (= x y))))) (let ((_let_6492 (forall ((u |u_(-> tptp.set_rat tptp.nat)|) (e tptp.nat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.nat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15885 v ii) (ite (= i ii) e (ho_15885 u ii)))))))))) (let ((_let_6493 (forall ((x |u_(-> tptp.set_rat tptp.nat)|) (y |u_(-> tptp.set_rat tptp.nat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15885 x z) (ho_15885 y z)))) (= x y))))) (let ((_let_6494 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5898 v ii) (ite (= i ii) e (ho_5898 u ii)))))))))) (let ((_let_6495 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5898 x z) (ho_5898 y z)))) (= x y))))) (let ((_let_6496 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|) (e tptp.set_Pr7459493094073627847at_nat) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|)) (= (ho_14586 v ii) (ite (= i ii) e (ho_14586 u ii)))))))))) (let ((_let_6497 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)_ tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat)|)) (= (ho_14586 x z) (ho_14586 y z)))) (= x y))))) (let ((_let_6498 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (= (ho_16051 v ii) (ite (= i ii) e (ho_16051 u ii)))))))))) (let ((_let_6499 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (= (ho_16051 x z) (ho_16051 y z)))) (= x y))))) (let ((_let_6500 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10562 v ii) (ite (= i ii) e (ho_10562 u ii)))))))))) (let ((_let_6501 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10562 x z) (ho_10562 y z)))) (= x y))))) (let ((_let_6502 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_15803 v ii) (ite (= i ii) e (ho_15803 u ii)))))))))) (let ((_let_6503 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_15803 x z) (ho_15803 y z)))) (= x y))))) (let ((_let_6504 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_7117 v ii) (ite (= i ii) e (ho_7117 u ii)))))))))) (let ((_let_6505 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_7117 x z) (ho_7117 y z)))) (= x y))))) (let ((_let_6506 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_10964 v ii) (ite (= i ii) e (ho_10964 u ii)))))))))) (let ((_let_6507 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_10964 x z) (ho_10964 y z)))) (= x y))))) (let ((_let_6508 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6392 v ii) (ite (= i ii) e (ho_6392 u ii)))))))))) (let ((_let_6509 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6392 x z) (ho_6392 y z)))) (= x y))))) (let ((_let_6510 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_7281 v ii) (ite (= i ii) e (ho_7281 u ii)))))))))) (let ((_let_6511 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.set_Pr553994874890374343at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_7281 x z) (ho_7281 y z)))) (= x y))))) (let ((_let_6512 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4956 v ii) (ite (= i ii) e (ho_4956 u ii)))))))))) (let ((_let_6513 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4956 x z) (ho_4956 y z)))) (= x y))))) (let ((_let_6514 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|)) (= (ho_15676 v ii) (ite (= i ii) e (ho_15676 u ii)))))))))) (let ((_let_6515 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|)) (= (ho_15676 x z) (ho_15676 y z)))) (= x y))))) (let ((_let_6516 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13488 v ii) (ite (= i ii) e (ho_13488 u ii)))))))))) (let ((_let_6517 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat Bool Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13488 x z) (ho_13488 y z)))) (= x y))))) (let ((_let_6518 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ tptp.char Bool)|) (e |u_(-> _u_(-> Bool tptp.char)_ tptp.char Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ tptp.char Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7224 v ii) (ite (= i ii) e (ho_7224 u ii)))))))))) (let ((_let_6519 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ tptp.char Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ tptp.char Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7224 x z) (ho_7224 y z)))) (= x y))))) (let ((_let_6520 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7045 v ii) (ite (= i ii) e (ho_7045 u ii)))))))))) (let ((_let_6521 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7045 x z) (ho_7045 y z)))) (= x y))))) (let ((_let_6522 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_14452 v ii) (ite (= i ii) e (ho_14452 u ii)))))))))) (let ((_let_6523 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14452 x z) (ho_14452 y z)))) (= x y))))) (let ((_let_6524 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (e |u_(-> tptp.set_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_7585 v ii) (ite (= i ii) e (ho_7585 u ii)))))))))) (let ((_let_6525 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_7585 x z) (ho_7585 y z)))) (= x y))))) (let ((_let_6526 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8319 v ii) (ite (= i ii) e (ho_8319 u ii)))))))))) (let ((_let_6527 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8319 x z) (ho_8319 y z)))) (= x y))))) (let ((_let_6528 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6104 v ii) (ite (= i ii) e (ho_6104 u ii)))))))))) (let ((_let_6529 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6104 x z) (ho_6104 y z)))) (= x y))))) (let ((_let_6530 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_8625 v ii) (ite (= i ii) e (ho_8625 u ii)))))))))) (let ((_let_6531 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_8625 x z) (ho_8625 y z)))) (= x y))))) (let ((_let_6532 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12822 v ii) (ite (= i ii) e (ho_12822 u ii)))))))))) (let ((_let_6533 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12822 x z) (ho_12822 y z)))) (= x y))))) (let ((_let_6534 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_5360 v ii) (ite (= i ii) e (ho_5360 u ii)))))))))) (let ((_let_6535 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_5360 x z) (ho_5360 y z)))) (= x y))))) (let ((_let_6536 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.set_set_int)|) (e |u_(-> tptp.set_o tptp.set_set_int)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.set_set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_7565 v ii) (ite (= i ii) e (ho_7565 u ii)))))))))) (let ((_let_6537 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.set_set_int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.set_set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_7565 x z) (ho_7565 y z)))) (= x y))))) (let ((_let_6538 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5760 v ii) (ite (= i ii) e (ho_5760 u ii)))))))))) (let ((_let_6539 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5760 x z) (ho_5760 y z)))) (= x y))))) (let ((_let_6540 (forall ((u |u_(-> tptp.rat tptp.rat tptp.rat)|) (e |u_(-> tptp.rat tptp.rat)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.rat tptp.rat)|)) (not (forall ((ii tptp.rat)) (= (ho_8051 v ii) (ite (= i ii) e (ho_8051 u ii)))))))))) (let ((_let_6541 (forall ((x |u_(-> tptp.rat tptp.rat tptp.rat)|) (y |u_(-> tptp.rat tptp.rat tptp.rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_8051 x z) (ho_8051 y z)))) (= x y))))) (let ((_let_6542 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (= (ho_6750 v ii) (ite (= i ii) e (ho_6750 u ii)))))))))) (let ((_let_6543 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (= (ho_6750 x z) (ho_6750 y z)))) (= x y))))) (let ((_let_6544 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12721 v ii) (ite (= i ii) e (ho_12721 u ii)))))))))) (let ((_let_6545 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12721 x z) (ho_12721 y z)))) (= x y))))) (let ((_let_6546 (forall ((u |u_(-> Bool tptp.num)|) (e tptp.num) (i Bool)) (not (forall ((v |u_(-> Bool tptp.num)|)) (not (forall ((ii Bool)) (= (ho_7337 v ii) (ite (= i ii) e (ho_7337 u ii)))))))))) (let ((_let_6547 (forall ((x |u_(-> Bool tptp.num)|) (y |u_(-> Bool tptp.num)|)) (or (not (forall ((z Bool)) (= (ho_7337 x z) (ho_7337 y z)))) (= x y))))) (let ((_let_6548 (forall ((u |u_(-> tptp.set_set_o Bool)|) (e Bool) (i tptp.set_set_o)) (not (forall ((v |u_(-> tptp.set_set_o Bool)|)) (not (forall ((ii tptp.set_set_o)) (= (ho_15150 v ii) (ite (= i ii) e (ho_15150 u ii)))))))))) (let ((_let_6549 (forall ((x |u_(-> tptp.set_set_o Bool)|) (y |u_(-> tptp.set_set_o Bool)|)) (or (not (forall ((z tptp.set_set_o)) (= (ho_15150 x z) (ho_15150 y z)))) (= x y))))) (let ((_let_6550 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13950 v ii) (ite (= i ii) e (ho_13950 u ii)))))))))) (let ((_let_6551 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13950 x z) (ho_13950 y z)))) (= x y))))) (let ((_let_6552 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5839 v ii) (ite (= i ii) e (ho_5839 u ii)))))))))) (let ((_let_6553 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5839 x z) (ho_5839 y z)))) (= x y))))) (let ((_let_6554 (forall ((u |u_(-> tptp.set_set_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_5836 v ii) (ite (= i ii) e (ho_5836 u ii)))))))))) (let ((_let_6555 (forall ((x |u_(-> tptp.set_set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_5836 x z) (ho_5836 y z)))) (= x y))))) (let ((_let_6556 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10743 v ii) (ite (= i ii) e (ho_10743 u ii)))))))))) (let ((_let_6557 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10743 x z) (ho_10743 y z)))) (= x y))))) (let ((_let_6558 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_6487 v ii) (ite (= i ii) e (ho_6487 u ii)))))))))) (let ((_let_6559 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_6487 x z) (ho_6487 y z)))) (= x y))))) (let ((_let_6560 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12736 v ii) (ite (= i ii) e (ho_12736 u ii)))))))))) (let ((_let_6561 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12736 x z) (ho_12736 y z)))) (= x y))))) (let ((_let_6562 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4649 v ii) (ite (= i ii) e (ho_4649 u ii)))))))))) (let ((_let_6563 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4649 x z) (ho_4649 y z)))) (= x y))))) (let ((_let_6564 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (= (ho_12048 v ii) (ite (= i ii) e (ho_12048 u ii)))))))))) (let ((_let_6565 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc7812382424243267045t_unit)|)) (= (ho_12048 x z) (ho_12048 y z)))) (= x y))))) (let ((_let_6566 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5817 v ii) (ite (= i ii) e (ho_5817 u ii)))))))))) (let ((_let_6567 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5817 x z) (ho_5817 y z)))) (= x y))))) (let ((_let_6568 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12786 v ii) (ite (= i ii) e (ho_12786 u ii)))))))))) (let ((_let_6569 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12786 x z) (ho_12786 y z)))) (= x y))))) (let ((_let_6570 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_11160 v ii) (ite (= i ii) e (ho_11160 u ii)))))))))) (let ((_let_6571 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11160 x z) (ho_11160 y z)))) (= x y))))) (let ((_let_6572 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_6593 v ii) (ite (= i ii) e (ho_6593 u ii)))))))))) (let ((_let_6573 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_6593 x z) (ho_6593 y z)))) (= x y))))) (let ((_let_6574 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|) (e tptp.set_Pr5464989305201766866unit_o) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_14875 v ii) (ite (= i ii) e (ho_14875 u ii)))))))))) (let ((_let_6575 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_14875 x z) (ho_14875 y z)))) (= x y))))) (let ((_let_6576 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8175 v ii) (ite (= i ii) e (ho_8175 u ii)))))))))) (let ((_let_6577 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8175 x z) (ho_8175 y z)))) (= x y))))) (let ((_let_6578 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10772 v ii) (ite (= i ii) e (ho_10772 u ii)))))))))) (let ((_let_6579 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10772 x z) (ho_10772 y z)))) (= x y))))) (let ((_let_6580 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5794 v ii) (ite (= i ii) e (ho_5794 u ii)))))))))) (let ((_let_6581 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5794 x z) (ho_5794 y z)))) (= x y))))) (let ((_let_6582 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5159 v ii) (ite (= i ii) e (ho_5159 u ii)))))))))) (let ((_let_6583 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5159 x z) (ho_5159 y z)))) (= x y))))) (let ((_let_6584 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14749 v ii) (ite (= i ii) e (ho_14749 u ii)))))))))) (let ((_let_6585 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14749 x z) (ho_14749 y z)))) (= x y))))) (let ((_let_6586 (forall ((u |u_(-> tptp.set_o tptp.set_int Bool Bool)|) (e |u_(-> tptp.set_int Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_int Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7515 v ii) (ite (= i ii) e (ho_7515 u ii)))))))))) (let ((_let_6587 (forall ((x |u_(-> tptp.set_o tptp.set_int Bool Bool)|) (y |u_(-> tptp.set_o tptp.set_int Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7515 x z) (ho_7515 y z)))) (= x y))))) (let ((_let_6588 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14783 v ii) (ite (= i ii) e (ho_14783 u ii)))))))))) (let ((_let_6589 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14783 x z) (ho_14783 y z)))) (= x y))))) (let ((_let_6590 (forall ((u |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|) (e |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|) (i tptp.option_num)) (not (forall ((v |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|)) (not (forall ((ii tptp.option_num)) (= (ho_4581 v ii) (ite (= i ii) e (ho_4581 u ii)))))))))) (let ((_let_6591 (forall ((x |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|) (y |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|)) (or (not (forall ((z tptp.option_num)) (= (ho_4581 x z) (ho_4581 y z)))) (= x y))))) (let ((_let_6592 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_4922 v ii) (ite (= i ii) e (ho_4922 u ii)))))))))) (let ((_let_6593 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_4922 x z) (ho_4922 y z)))) (= x y))))) (let ((_let_6594 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_5413 v ii) (ite (= i ii) e (ho_5413 u ii)))))))))) (let ((_let_6595 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_5413 x z) (ho_5413 y z)))) (= x y))))) (let ((_let_6596 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.set_nat tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.set_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8786 v ii) (ite (= i ii) e (ho_8786 u ii)))))))))) (let ((_let_6597 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8786 x z) (ho_8786 y z)))) (= x y))))) (let ((_let_6598 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.rat)_ tptp.product_prod_nat_nat tptp.rat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.rat)|) (i |u_(-> tptp.nat tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.rat)_ tptp.product_prod_nat_nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.rat)|)) (= (ho_11346 v ii) (ite (= i ii) e (ho_11346 u ii)))))))))) (let ((_let_6599 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.rat)_ tptp.product_prod_nat_nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.rat)_ tptp.product_prod_nat_nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.rat)|)) (= (ho_11346 x z) (ho_11346 y z)))) (= x y))))) (let ((_let_6600 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5070 v ii) (ite (= i ii) e (ho_5070 u ii)))))))))) (let ((_let_6601 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5070 x z) (ho_5070 y z)))) (= x y))))) (let ((_let_6602 (forall ((u |u_(-> tptp.int tptp.set_o tptp.set_int Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_int Bool Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_o tptp.set_int Bool Bool)|)) (not (forall ((ii tptp.int)) (= (ho_7514 v ii) (ite (= i ii) e (ho_7514 u ii)))))))))) (let ((_let_6603 (forall ((x |u_(-> tptp.int tptp.set_o tptp.set_int Bool Bool)|) (y |u_(-> tptp.int tptp.set_o tptp.set_int Bool Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_7514 x z) (ho_7514 y z)))) (= x y))))) (let ((_let_6604 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_13049 v ii) (ite (= i ii) e (ho_13049 u ii)))))))))) (let ((_let_6605 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_13049 x z) (ho_13049 y z)))) (= x y))))) (let ((_let_6606 (forall ((u |u_(-> tptp.set_set_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_5067 v ii) (ite (= i ii) e (ho_5067 u ii)))))))))) (let ((_let_6607 (forall ((x |u_(-> tptp.set_set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_5067 x z) (ho_5067 y z)))) (= x y))))) (let ((_let_6608 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (= (ho_15945 v ii) (ite (= i ii) e (ho_15945 u ii)))))))))) (let ((_let_6609 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (= (ho_15945 x z) (ho_15945 y z)))) (= x y))))) (let ((_let_6610 (forall ((u |u_(-> tptp.rat tptp.set_rat tptp.set_rat)|) (e |u_(-> tptp.set_rat tptp.set_rat)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.set_rat tptp.set_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_7420 v ii) (ite (= i ii) e (ho_7420 u ii)))))))))) (let ((_let_6611 (forall ((x |u_(-> tptp.rat tptp.set_rat tptp.set_rat)|) (y |u_(-> tptp.rat tptp.set_rat tptp.set_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7420 x z) (ho_7420 y z)))) (= x y))))) (let ((_let_6612 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10716 v ii) (ite (= i ii) e (ho_10716 u ii)))))))))) (let ((_let_6613 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10716 x z) (ho_10716 y z)))) (= x y))))) (let ((_let_6614 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_6798 v ii) (ite (= i ii) e (ho_6798 u ii)))))))))) (let ((_let_6615 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_6798 x z) (ho_6798 y z)))) (= x y))))) (let ((_let_6616 (forall ((u |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_6871 v ii) (ite (= i ii) e (ho_6871 u ii)))))))))) (let ((_let_6617 (forall ((x |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6871 x z) (ho_6871 y z)))) (= x y))))) (let ((_let_6618 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_11705 v ii) (ite (= i ii) e (ho_11705 u ii)))))))))) (let ((_let_6619 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_11705 x z) (ho_11705 y z)))) (= x y))))) (let ((_let_6620 (forall ((u |u_(-> tptp.nat tptp.product_unit)|) (e tptp.product_unit) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((ii tptp.nat)) (= (ho_4880 v ii) (ite (= i ii) e (ho_4880 u ii)))))))))) (let ((_let_6621 (forall ((x |u_(-> tptp.nat tptp.product_unit)|) (y |u_(-> tptp.nat tptp.product_unit)|)) (or (not (forall ((z tptp.nat)) (= (ho_4880 x z) (ho_4880 y z)))) (= x y))))) (let ((_let_6622 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_8553 v ii) (ite (= i ii) e (ho_8553 u ii)))))))))) (let ((_let_6623 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8553 x z) (ho_8553 y z)))) (= x y))))) (let ((_let_6624 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_8299 v ii) (ite (= i ii) e (ho_8299 u ii)))))))))) (let ((_let_6625 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_8299 x z) (ho_8299 y z)))) (= x y))))) (let ((_let_6626 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (= (ho_14216 v ii) (ite (= i ii) e (ho_14216 u ii)))))))))) (let ((_let_6627 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)|)) (= (ho_14216 x z) (ho_14216 y z)))) (= x y))))) (let ((_let_6628 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat tptp.nat Bool)|) (e |u_(-> Bool tptp.set_nat tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5037 v ii) (ite (= i ii) e (ho_5037 u ii)))))))))) (let ((_let_6629 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5037 x z) (ho_5037 y z)))) (= x y))))) (let ((_let_6630 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11548 v ii) (ite (= i ii) e (ho_11548 u ii)))))))))) (let ((_let_6631 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11548 x z) (ho_11548 y z)))) (= x y))))) (let ((_let_6632 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5027 v ii) (ite (= i ii) e (ho_5027 u ii)))))))))) (let ((_let_6633 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5027 x z) (ho_5027 y z)))) (= x y))))) (let ((_let_6634 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_14679 v ii) (ite (= i ii) e (ho_14679 u ii)))))))))) (let ((_let_6635 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_14679 x z) (ho_14679 y z)))) (= x y))))) (let ((_let_6636 (forall ((u |u_(-> tptp.set_o tptp.set_o tptp.set_o)|) (e |u_(-> tptp.set_o tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_o tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_6016 v ii) (ite (= i ii) e (ho_6016 u ii)))))))))) (let ((_let_6637 (forall ((x |u_(-> tptp.set_o tptp.set_o tptp.set_o)|) (y |u_(-> tptp.set_o tptp.set_o tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6016 x z) (ho_6016 y z)))) (= x y))))) (let ((_let_6638 (forall ((u |u_(-> tptp.set_char tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_rat)|)) (not (forall ((ii tptp.set_char)) (= (ho_13368 v ii) (ite (= i ii) e (ho_13368 u ii)))))))))) (let ((_let_6639 (forall ((x |u_(-> tptp.set_char tptp.set_rat)|) (y |u_(-> tptp.set_char tptp.set_rat)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13368 x z) (ho_13368 y z)))) (= x y))))) (let ((_let_6640 (forall ((u |u_(-> tptp.int tptp.int)|) (e tptp.int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_4914 v ii) (ite (= i ii) e (ho_4914 u ii)))))))))) (let ((_let_6641 (forall ((x |u_(-> tptp.int tptp.int)|) (y |u_(-> tptp.int tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_4914 x z) (ho_4914 y z)))) (= x y))))) (let ((_let_6642 (forall ((u |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.a)) (= (ho_12022 v ii) (ite (= i ii) e (ho_12022 u ii)))))))))) (let ((_let_6643 (forall ((x |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.a)) (= (ho_12022 x z) (ho_12022 y z)))) (= x y))))) (let ((_let_6644 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.int)|) (e tptp.int) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5423 v ii) (ite (= i ii) e (ho_5423 u ii)))))))))) (let ((_let_6645 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.int)|) (y |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5423 x z) (ho_5423 y z)))) (= x y))))) (let ((_let_6646 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13057 v ii) (ite (= i ii) e (ho_13057 u ii)))))))))) (let ((_let_6647 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_13057 x z) (ho_13057 y z)))) (= x y))))) (let ((_let_6648 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.set_Product_unit Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_Product_unit Bool Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8529 v ii) (ite (= i ii) e (ho_8529 u ii)))))))))) (let ((_let_6649 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.set_Product_unit Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_o tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8529 x z) (ho_8529 y z)))) (= x y))))) (let ((_let_6650 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5382 v ii) (ite (= i ii) e (ho_5382 u ii)))))))))) (let ((_let_6651 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5382 x z) (ho_5382 y z)))) (= x y))))) (let ((_let_6652 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|) (e |u_(-> tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|) (i |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|)) (= (ho_6250 v ii) (ite (= i ii) e (ho_6250 u ii)))))))))) (let ((_let_6653 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr8049984349381595834_int_o tptp.set_se6260736226359567993nt_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|)) (= (ho_6250 x z) (ho_6250 y z)))) (= x y))))) (let ((_let_6654 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_11454 v ii) (ite (= i ii) e (ho_11454 u ii)))))))))) (let ((_let_6655 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_11454 x z) (ho_11454 y z)))) (= x y))))) (let ((_let_6656 (forall ((u |u_(-> tptp.set_set_int tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.int Bool)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_6198 v ii) (ite (= i ii) e (ho_6198 u ii)))))))))) (let ((_let_6657 (forall ((x |u_(-> tptp.set_set_int tptp.int Bool)|) (y |u_(-> tptp.set_set_int tptp.int Bool)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_6198 x z) (ho_6198 y z)))) (= x y))))) (let ((_let_6658 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5738 v ii) (ite (= i ii) e (ho_5738 u ii)))))))))) (let ((_let_6659 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5738 x z) (ho_5738 y z)))) (= x y))))) (let ((_let_6660 (forall ((u |u_(-> tptp.set_o tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_4867 v ii) (ite (= i ii) e (ho_4867 u ii)))))))))) (let ((_let_6661 (forall ((x |u_(-> tptp.set_o tptp.set_nat)|) (y |u_(-> tptp.set_o tptp.set_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_4867 x z) (ho_4867 y z)))) (= x y))))) (let ((_let_6662 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_6739 v ii) (ite (= i ii) e (ho_6739 u ii)))))))))) (let ((_let_6663 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_6739 x z) (ho_6739 y z)))) (= x y))))) (let ((_let_6664 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10610 v ii) (ite (= i ii) e (ho_10610 u ii)))))))))) (let ((_let_6665 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10610 x z) (ho_10610 y z)))) (= x y))))) (let ((_let_6666 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4989 v ii) (ite (= i ii) e (ho_4989 u ii)))))))))) (let ((_let_6667 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4989 x z) (ho_4989 y z)))) (= x y))))) (let ((_let_6668 (forall ((u |u_(-> tptp.product_unit tptp.int)|) (e tptp.int) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((ii tptp.product_unit)) (= (ho_6102 v ii) (ite (= i ii) e (ho_6102 u ii)))))))))) (let ((_let_6669 (forall ((x |u_(-> tptp.product_unit tptp.int)|) (y |u_(-> tptp.product_unit tptp.int)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_6102 x z) (ho_6102 y z)))) (= x y))))) (let ((_let_6670 (forall ((u |u_(-> _u_(-> tptp.produc2963269191615333738nteger Bool)_ tptp.set_Pr8415741480598773322nteger)|) (e tptp.set_Pr8415741480598773322nteger) (i |u_(-> tptp.produc2963269191615333738nteger Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc2963269191615333738nteger Bool)_ tptp.set_Pr8415741480598773322nteger)|)) (not (forall ((ii |u_(-> tptp.produc2963269191615333738nteger Bool)|)) (= (ho_12206 v ii) (ite (= i ii) e (ho_12206 u ii)))))))))) (let ((_let_6671 (forall ((x |u_(-> _u_(-> tptp.produc2963269191615333738nteger Bool)_ tptp.set_Pr8415741480598773322nteger)|) (y |u_(-> _u_(-> tptp.produc2963269191615333738nteger Bool)_ tptp.set_Pr8415741480598773322nteger)|)) (or (not (forall ((z |u_(-> tptp.produc2963269191615333738nteger Bool)|)) (= (ho_12206 x z) (ho_12206 y z)))) (= x y))))) (let ((_let_6672 (forall ((u |u_(-> Bool tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_7533 v ii) (ite (= i ii) e (ho_7533 u ii)))))))))) (let ((_let_6673 (forall ((x |u_(-> Bool tptp.nat tptp.nat Bool)|) (y |u_(-> Bool tptp.nat tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_7533 x z) (ho_7533 y z)))) (= x y))))) (let ((_let_6674 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6876 v ii) (ite (= i ii) e (ho_6876 u ii)))))))))) (let ((_let_6675 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6876 x z) (ho_6876 y z)))) (= x y))))) (let ((_let_6676 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5723 v ii) (ite (= i ii) e (ho_5723 u ii)))))))))) (let ((_let_6677 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5723 x z) (ho_5723 y z)))) (= x y))))) (let ((_let_6678 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5636 v ii) (ite (= i ii) e (ho_5636 u ii)))))))))) (let ((_let_6679 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5636 x z) (ho_5636 y z)))) (= x y))))) (let ((_let_6680 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (i |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|)) (= (ho_14442 v ii) (ite (= i ii) e (ho_14442 u ii)))))))))) (let ((_let_6681 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|)) (= (ho_14442 x z) (ho_14442 y z)))) (= x y))))) (let ((_let_6682 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_14343 v ii) (ite (= i ii) e (ho_14343 u ii)))))))))) (let ((_let_6683 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_14343 x z) (ho_14343 y z)))) (= x y))))) (let ((_let_6684 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7022 v ii) (ite (= i ii) e (ho_7022 u ii)))))))))) (let ((_let_6685 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7022 x z) (ho_7022 y z)))) (= x y))))) (let ((_let_6686 (forall ((u |u_(-> tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_5080 v ii) (ite (= i ii) e (ho_5080 u ii)))))))))) (let ((_let_6687 (forall ((x |u_(-> tptp.set_int tptp.nat Bool)|) (y |u_(-> tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5080 x z) (ho_5080 y z)))) (= x y))))) (let ((_let_6688 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.set_set_Product_unit)|) (e |u_(-> tptp.set_int tptp.set_set_Product_unit)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.set_set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_15088 v ii) (ite (= i ii) e (ho_15088 u ii)))))))))) (let ((_let_6689 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.set_set_Product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.set_set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_15088 x z) (ho_15088 y z)))) (= x y))))) (let ((_let_6690 (forall ((u |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i tptp.set_Pr7995236796853374141at_int)) (not (forall ((v |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_Pr7995236796853374141at_int)) (= (ho_14450 v ii) (ite (= i ii) e (ho_14450 u ii)))))))))) (let ((_let_6691 (forall ((x |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_Pr7995236796853374141at_int)) (= (ho_14450 x z) (ho_14450 y z)))) (= x y))))) (let ((_let_6692 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_4861 v ii) (ite (= i ii) e (ho_4861 u ii)))))))))) (let ((_let_6693 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_4861 x z) (ho_4861 y z)))) (= x y))))) (let ((_let_6694 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14790 v ii) (ite (= i ii) e (ho_14790 u ii)))))))))) (let ((_let_6695 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_14790 x z) (ho_14790 y z)))) (= x y))))) (let ((_let_6696 (forall ((u |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i tptp.produc8923325533196201883nteger)) (not (forall ((v |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.produc8923325533196201883nteger)) (= (ho_5404 v ii) (ite (= i ii) e (ho_5404 u ii)))))))))) (let ((_let_6697 (forall ((x |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.produc8923325533196201883nteger)) (= (ho_5404 x z) (ho_5404 y z)))) (= x y))))) (let ((_let_6698 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10843 v ii) (ite (= i ii) e (ho_10843 u ii)))))))))) (let ((_let_6699 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10843 x z) (ho_10843 y z)))) (= x y))))) (let ((_let_6700 (forall ((u |u_(-> tptp.set_nat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4765 v ii) (ite (= i ii) e (ho_4765 u ii)))))))))) (let ((_let_6701 (forall ((x |u_(-> tptp.set_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4765 x z) (ho_4765 y z)))) (= x y))))) (let ((_let_6702 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4961 v ii) (ite (= i ii) e (ho_4961 u ii)))))))))) (let ((_let_6703 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4961 x z) (ho_4961 y z)))) (= x y))))) (let ((_let_6704 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7773 v ii) (ite (= i ii) e (ho_7773 u ii)))))))))) (let ((_let_6705 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7773 x z) (ho_7773 y z)))) (= x y))))) (let ((_let_6706 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15843 v ii) (ite (= i ii) e (ho_15843 u ii)))))))))) (let ((_let_6707 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15843 x z) (ho_15843 y z)))) (= x y))))) (let ((_let_6708 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_14418 v ii) (ite (= i ii) e (ho_14418 u ii)))))))))) (let ((_let_6709 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_14418 x z) (ho_14418 y z)))) (= x y))))) (let ((_let_6710 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7164 v ii) (ite (= i ii) e (ho_7164 u ii)))))))))) (let ((_let_6711 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7164 x z) (ho_7164 y z)))) (= x y))))) (let ((_let_6712 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_char tptp.product_unit tptp.set_char)|) (e |u_(-> tptp.set_char tptp.product_unit tptp.set_char)|) (i |u_(-> tptp.product_unit tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_char tptp.product_unit tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_char)|)) (= (ho_8830 v ii) (ite (= i ii) e (ho_8830 u ii)))))))))) (let ((_let_6713 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_char tptp.product_unit tptp.set_char)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_char tptp.product_unit tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_char)|)) (= (ho_8830 x z) (ho_8830 y z)))) (= x y))))) (let ((_let_6714 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5706 v ii) (ite (= i ii) e (ho_5706 u ii)))))))))) (let ((_let_6715 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5706 x z) (ho_5706 y z)))) (= x y))))) (let ((_let_6716 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.nat)_ tptp.produc8923325533196201883nteger tptp.nat)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.nat)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.nat)_ tptp.produc8923325533196201883nteger tptp.nat)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|)) (= (ho_6678 v ii) (ite (= i ii) e (ho_6678 u ii)))))))))) (let ((_let_6717 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.nat)_ tptp.produc8923325533196201883nteger tptp.nat)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.nat)_ tptp.produc8923325533196201883nteger tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|)) (= (ho_6678 x z) (ho_6678 y z)))) (= x y))))) (let ((_let_6718 (forall ((u |u_(-> tptp.product_prod_o_o Bool)|) (e Bool) (i tptp.product_prod_o_o)) (not (forall ((v |u_(-> tptp.product_prod_o_o Bool)|)) (not (forall ((ii tptp.product_prod_o_o)) (= (ho_14121 v ii) (ite (= i ii) e (ho_14121 u ii)))))))))) (let ((_let_6719 (forall ((x |u_(-> tptp.product_prod_o_o Bool)|) (y |u_(-> tptp.product_prod_o_o Bool)|)) (or (not (forall ((z tptp.product_prod_o_o)) (= (ho_14121 x z) (ho_14121 y z)))) (= x y))))) (let ((_let_6720 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7415 v ii) (ite (= i ii) e (ho_7415 u ii)))))))))) (let ((_let_6721 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7415 x z) (ho_7415 y z)))) (= x y))))) (let ((_let_6722 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_6279 v ii) (ite (= i ii) e (ho_6279 u ii)))))))))) (let ((_let_6723 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_6279 x z) (ho_6279 y z)))) (= x y))))) (let ((_let_6724 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_num)|) (e tptp.product_prod_o_num) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_12601 v ii) (ite (= i ii) e (ho_12601 u ii)))))))))) (let ((_let_6725 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_num)|) (y |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_num)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_12601 x z) (ho_12601 y z)))) (= x y))))) (let ((_let_6726 (forall ((u |u_(-> tptp.num tptp.nat tptp.product_prod_num_nat)|) (e |u_(-> tptp.nat tptp.product_prod_num_nat)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.num)) (= (ho_12060 v ii) (ite (= i ii) e (ho_12060 u ii)))))))))) (let ((_let_6727 (forall ((x |u_(-> tptp.num tptp.nat tptp.product_prod_num_nat)|) (y |u_(-> tptp.num tptp.nat tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.num)) (= (ho_12060 x z) (ho_12060 y z)))) (= x y))))) (let ((_let_6728 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|) (e |u_(-> tptp.option_num tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_4589 v ii) (ite (= i ii) e (ho_4589 u ii)))))))))) (let ((_let_6729 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.option_num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_4589 x z) (ho_4589 y z)))) (= x y))))) (let ((_let_6730 (forall ((u |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (i |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (= (ho_14242 v ii) (ite (= i ii) e (ho_14242 u ii)))))))))) (let ((_let_6731 (forall ((x |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)_ _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ _u_(-> tptp.rat tptp.int)_ Bool)|)) (= (ho_14242 x z) (ho_14242 y z)))) (= x y))))) (let ((_let_6732 (forall ((u |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|) (e |u_(-> tptp.num tptp.set_int)|) (i |u_(-> tptp.num tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.num tptp.char)|)) (= (ho_14405 v ii) (ite (= i ii) e (ho_14405 u ii)))))))))) (let ((_let_6733 (forall ((x |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|) (y |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.num tptp.char)|)) (= (ho_14405 x z) (ho_14405 y z)))) (= x y))))) (let ((_let_6734 (forall ((u |u_(-> tptp.product_unit tptp.int tptp.product_unit)|) (e |u_(-> tptp.int tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.int tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9301 v ii) (ite (= i ii) e (ho_9301 u ii)))))))))) (let ((_let_6735 (forall ((x |u_(-> tptp.product_unit tptp.int tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.int tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9301 x z) (ho_9301 y z)))) (= x y))))) (let ((_let_6736 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_14949 v ii) (ite (= i ii) e (ho_14949 u ii)))))))))) (let ((_let_6737 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr3798168094891919931at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_14949 x z) (ho_14949 y z)))) (= x y))))) (let ((_let_6738 (forall ((u |u_(-> tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_5000 v ii) (ite (= i ii) e (ho_5000 u ii)))))))))) (let ((_let_6739 (forall ((x |u_(-> tptp.set_o tptp.nat Bool)|) (y |u_(-> tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5000 x z) (ho_5000 y z)))) (= x y))))) (let ((_let_6740 (forall ((u |u_(-> tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5821 v ii) (ite (= i ii) e (ho_5821 u ii)))))))))) (let ((_let_6741 (forall ((x |u_(-> tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5821 x z) (ho_5821 y z)))) (= x y))))) (let ((_let_6742 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8784 v ii) (ite (= i ii) e (ho_8784 u ii)))))))))) (let ((_let_6743 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8784 x z) (ho_8784 y z)))) (= x y))))) (let ((_let_6744 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12669 v ii) (ite (= i ii) e (ho_12669 u ii)))))))))) (let ((_let_6745 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)_ tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.product_prod_nat_nat)|)) (= (ho_12669 x z) (ho_12669 y z)))) (= x y))))) (let ((_let_6746 (forall ((u |u_(-> tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|) (e tptp.set_Pr5908833319024110760_num_o) (i tptp.set_nat_num_o)) (not (forall ((v |u_(-> tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|)) (not (forall ((ii tptp.set_nat_num_o)) (= (ho_8992 v ii) (ite (= i ii) e (ho_8992 u ii)))))))))) (let ((_let_6747 (forall ((x |u_(-> tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|) (y |u_(-> tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|)) (or (not (forall ((z tptp.set_nat_num_o)) (= (ho_8992 x z) (ho_8992 y z)))) (= x y))))) (let ((_let_6748 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|) (e |u_(-> tptp.set_set_nat tptp.set_rat)|) (i |u_(-> tptp.set_set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15110 v ii) (ite (= i ii) e (ho_15110 u ii)))))))))) (let ((_let_6749 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15110 x z) (ho_15110 y z)))) (= x y))))) (let ((_let_6750 (forall ((u |u_(-> tptp.int tptp.product_prod_num_num)|) (e tptp.product_prod_num_num) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii tptp.int)) (= (ho_10484 v ii) (ite (= i ii) e (ho_10484 u ii)))))))))) (let ((_let_6751 (forall ((x |u_(-> tptp.int tptp.product_prod_num_num)|) (y |u_(-> tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z tptp.int)) (= (ho_10484 x z) (ho_10484 y z)))) (= x y))))) (let ((_let_6752 (forall ((u |u_(-> tptp.set_o tptp.set_nat tptp.set_o_nat)|) (e |u_(-> tptp.set_nat tptp.set_o_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_nat tptp.set_o_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_15469 v ii) (ite (= i ii) e (ho_15469 u ii)))))))))) (let ((_let_6753 (forall ((x |u_(-> tptp.set_o tptp.set_nat tptp.set_o_nat)|) (y |u_(-> tptp.set_o tptp.set_nat tptp.set_o_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15469 x z) (ho_15469 y z)))) (= x y))))) (let ((_let_6754 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4968 v ii) (ite (= i ii) e (ho_4968 u ii)))))))))) (let ((_let_6755 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4968 x z) (ho_4968 y z)))) (= x y))))) (let ((_let_6756 (forall ((u |u_(-> Bool tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.char Bool)|)) (not (forall ((ii Bool)) (= (ho_7230 v ii) (ite (= i ii) e (ho_7230 u ii)))))))))) (let ((_let_6757 (forall ((x |u_(-> Bool tptp.char Bool)|) (y |u_(-> Bool tptp.char Bool)|)) (or (not (forall ((z Bool)) (= (ho_7230 x z) (ho_7230 y z)))) (= x y))))) (let ((_let_6758 (forall ((u |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_o)|) (e tptp.set_o) (i tptp.set_se6260736226359567993nt_int)) (not (forall ((v |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_o)|)) (not (forall ((ii tptp.set_se6260736226359567993nt_int)) (= (ho_4904 v ii) (ite (= i ii) e (ho_4904 u ii)))))))))) (let ((_let_6759 (forall ((x |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_o)|) (y |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_o)|)) (or (not (forall ((z tptp.set_se6260736226359567993nt_int)) (= (ho_4904 x z) (ho_4904 y z)))) (= x y))))) (let ((_let_6760 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10188 v ii) (ite (= i ii) e (ho_10188 u ii)))))))))) (let ((_let_6761 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10188 x z) (ho_10188 y z)))) (= x y))))) (let ((_let_6762 (forall ((u |u_(-> tptp.num tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.num tptp.num)|)) (not (forall ((ii tptp.num)) (= (ho_5447 v ii) (ite (= i ii) e (ho_5447 u ii)))))))))) (let ((_let_6763 (forall ((x |u_(-> tptp.num tptp.num tptp.num)|) (y |u_(-> tptp.num tptp.num tptp.num)|)) (or (not (forall ((z tptp.num)) (= (ho_5447 x z) (ho_5447 y z)))) (= x y))))) (let ((_let_6764 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|) (e |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12544 v ii) (ite (= i ii) e (ho_12544 u ii)))))))))) (let ((_let_6765 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12544 x z) (ho_12544 y z)))) (= x y))))) (let ((_let_6766 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.set_o tptp.int Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_7569 v ii) (ite (= i ii) e (ho_7569 u ii)))))))))) (let ((_let_6767 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_7569 x z) (ho_7569 y z)))) (= x y))))) (let ((_let_6768 (forall ((u |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|) (e |u_(-> tptp.nat tptp.product_prod_int_rat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((ii tptp.int)) (= (ho_10272 v ii) (ite (= i ii) e (ho_10272 u ii)))))))))) (let ((_let_6769 (forall ((x |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|) (y |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|)) (or (not (forall ((z tptp.int)) (= (ho_10272 x z) (ho_10272 y z)))) (= x y))))) (let ((_let_6770 (forall ((u |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_he8644174446132254637t_unit)) (not (forall ((v |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_he8644174446132254637t_unit)) (= (ho_15621 v ii) (ite (= i ii) e (ho_15621 u ii)))))))))) (let ((_let_6771 (forall ((x |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_he8644174446132254637t_unit)) (= (ho_15621 x z) (ho_15621 y z)))) (= x y))))) (let ((_let_6772 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|) (e |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|) (i |u_(-> tptp.char tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_int)|)) (= (ho_14404 v ii) (ite (= i ii) e (ho_14404 u ii)))))))))) (let ((_let_6773 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|) (y |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_int)|)) (= (ho_14404 x z) (ho_14404 y z)))) (= x y))))) (let ((_let_6774 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_9428 v ii) (ite (= i ii) e (ho_9428 u ii)))))))))) (let ((_let_6775 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_9428 x z) (ho_9428 y z)))) (= x y))))) (let ((_let_6776 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_6738 v ii) (ite (= i ii) e (ho_6738 u ii)))))))))) (let ((_let_6777 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_6738 x z) (ho_6738 y z)))) (= x y))))) (let ((_let_6778 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12935 v ii) (ite (= i ii) e (ho_12935 u ii)))))))))) (let ((_let_6779 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12935 x z) (ho_12935 y z)))) (= x y))))) (let ((_let_6780 (forall ((u |u_(-> tptp.set_nat tptp.set_rat_nat)|) (e tptp.set_rat_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_rat_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15516 v ii) (ite (= i ii) e (ho_15516 u ii)))))))))) (let ((_let_6781 (forall ((x |u_(-> tptp.set_nat tptp.set_rat_nat)|) (y |u_(-> tptp.set_nat tptp.set_rat_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15516 x z) (ho_15516 y z)))) (= x y))))) (let ((_let_6782 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int tptp.set_Product_unit)|) (e |u_(-> tptp.set_int tptp.set_Product_unit)|) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15100 v ii) (ite (= i ii) e (ho_15100 u ii)))))))))) (let ((_let_6783 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.set_int tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_15100 x z) (ho_15100 y z)))) (= x y))))) (let ((_let_6784 (forall ((u |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|) (e tptp.set_int) (i tptp.set_Pr3448869479623346877nt_nat)) (not (forall ((v |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|)) (not (forall ((ii tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14990 v ii) (ite (= i ii) e (ho_14990 u ii)))))))))) (let ((_let_6785 (forall ((x |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|) (y |u_(-> tptp.set_Pr3448869479623346877nt_nat tptp.set_int)|)) (or (not (forall ((z tptp.set_Pr3448869479623346877nt_nat)) (= (ho_14990 x z) (ho_14990 y z)))) (= x y))))) (let ((_let_6786 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13775 v ii) (ite (= i ii) e (ho_13775 u ii)))))))))) (let ((_let_6787 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13775 x z) (ho_13775 y z)))) (= x y))))) (let ((_let_6788 (forall ((u |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7275 v ii) (ite (= i ii) e (ho_7275 u ii)))))))))) (let ((_let_6789 (forall ((x |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7275 x z) (ho_7275 y z)))) (= x y))))) (let ((_let_6790 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_6560 v ii) (ite (= i ii) e (ho_6560 u ii)))))))))) (let ((_let_6791 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_6560 x z) (ho_6560 y z)))) (= x y))))) (let ((_let_6792 (forall ((u |u_(-> Bool Bool Bool Bool)|) (e |u_(-> Bool Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_15773 v ii) (ite (= i ii) e (ho_15773 u ii)))))))))) (let ((_let_6793 (forall ((x |u_(-> Bool Bool Bool Bool)|) (y |u_(-> Bool Bool Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_15773 x z) (ho_15773 y z)))) (= x y))))) (let ((_let_6794 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6073 v ii) (ite (= i ii) e (ho_6073 u ii)))))))))) (let ((_let_6795 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6073 x z) (ho_6073 y z)))) (= x y))))) (let ((_let_6796 (forall ((u |u_(-> tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.int)) (= (ho_5589 v ii) (ite (= i ii) e (ho_5589 u ii)))))))))) (let ((_let_6797 (forall ((x |u_(-> tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_5589 x z) (ho_5589 y z)))) (= x y))))) (let ((_let_6798 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7432 v ii) (ite (= i ii) e (ho_7432 u ii)))))))))) (let ((_let_6799 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7432 x z) (ho_7432 y z)))) (= x y))))) (let ((_let_6800 (forall ((u |u_(-> tptp.produc2963269191615333738nteger tptp.num)|) (e tptp.num) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger tptp.num)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_12677 v ii) (ite (= i ii) e (ho_12677 u ii)))))))))) (let ((_let_6801 (forall ((x |u_(-> tptp.produc2963269191615333738nteger tptp.num)|) (y |u_(-> tptp.produc2963269191615333738nteger tptp.num)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_12677 x z) (ho_12677 y z)))) (= x y))))) (let ((_let_6802 (forall ((u |u_(-> tptp.rat tptp.nat)|) (e tptp.nat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.nat)|)) (not (forall ((ii tptp.rat)) (= (ho_6790 v ii) (ite (= i ii) e (ho_6790 u ii)))))))))) (let ((_let_6803 (forall ((x |u_(-> tptp.rat tptp.nat)|) (y |u_(-> tptp.rat tptp.nat)|)) (or (not (forall ((z tptp.rat)) (= (ho_6790 x z) (ho_6790 y z)))) (= x y))))) (let ((_let_6804 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7839 v ii) (ite (= i ii) e (ho_7839 u ii)))))))))) (let ((_let_6805 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7839 x z) (ho_7839 y z)))) (= x y))))) (let ((_let_6806 (forall ((u |u_(-> tptp.set_rat tptp.set_nat tptp.set_rat_nat)|) (e |u_(-> tptp.set_nat tptp.set_rat_nat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_nat tptp.set_rat_nat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15515 v ii) (ite (= i ii) e (ho_15515 u ii)))))))))) (let ((_let_6807 (forall ((x |u_(-> tptp.set_rat tptp.set_nat tptp.set_rat_nat)|) (y |u_(-> tptp.set_rat tptp.set_nat tptp.set_rat_nat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15515 x z) (ho_15515 y z)))) (= x y))))) (let ((_let_6808 (forall ((u |u_(-> tptp.set_nat tptp.set_set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_set_nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5835 v ii) (ite (= i ii) e (ho_5835 u ii)))))))))) (let ((_let_6809 (forall ((x |u_(-> tptp.set_nat tptp.set_set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.set_set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5835 x z) (ho_5835 y z)))) (= x y))))) (let ((_let_6810 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_6814 v ii) (ite (= i ii) e (ho_6814 u ii)))))))))) (let ((_let_6811 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_6814 x z) (ho_6814 y z)))) (= x y))))) (let ((_let_6812 (forall ((u |u_(-> tptp.product_unit tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4663 v ii) (ite (= i ii) e (ho_4663 u ii)))))))))) (let ((_let_6813 (forall ((x |u_(-> tptp.product_unit tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.product_unit tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4663 x z) (ho_4663 y z)))) (= x y))))) (let ((_let_6814 (forall ((u |u_(-> Bool tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii Bool)) (= (ho_4966 v ii) (ite (= i ii) e (ho_4966 u ii)))))))))) (let ((_let_6815 (forall ((x |u_(-> Bool tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> Bool tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_4966 x z) (ho_4966 y z)))) (= x y))))) (let ((_let_6816 (forall ((u |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|) (e |u_(-> tptp.num tptp.product_prod_nat_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_13839 v ii) (ite (= i ii) e (ho_13839 u ii)))))))))) (let ((_let_6817 (forall ((x |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|) (y |u_(-> tptp.nat tptp.num tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_13839 x z) (ho_13839 y z)))) (= x y))))) (let ((_let_6818 (forall ((u |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (e tptp.produc143505574896075907r_char) (i tptp.produc143505574896075907r_char)) (not (forall ((v |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (not (forall ((ii tptp.produc143505574896075907r_char)) (= (ho_16050 v ii) (ite (= i ii) e (ho_16050 u ii)))))))))) (let ((_let_6819 (forall ((x |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|) (y |u_(-> tptp.produc143505574896075907r_char tptp.produc143505574896075907r_char)|)) (or (not (forall ((z tptp.produc143505574896075907r_char)) (= (ho_16050 x z) (ho_16050 y z)))) (= x y))))) (let ((_let_6820 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_5601 v ii) (ite (= i ii) e (ho_5601 u ii)))))))))) (let ((_let_6821 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_5601 x z) (ho_5601 y z)))) (= x y))))) (let ((_let_6822 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10579 v ii) (ite (= i ii) e (ho_10579 u ii)))))))))) (let ((_let_6823 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10579 x z) (ho_10579 y z)))) (= x y))))) (let ((_let_6824 (forall ((u |u_(-> tptp.set_o tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_4959 v ii) (ite (= i ii) e (ho_4959 u ii)))))))))) (let ((_let_6825 (forall ((x |u_(-> tptp.set_o tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_o tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_4959 x z) (ho_4959 y z)))) (= x y))))) (let ((_let_6826 (forall ((u |u_(-> tptp.set_nat tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_10394 v ii) (ite (= i ii) e (ho_10394 u ii)))))))))) (let ((_let_6827 (forall ((x |u_(-> tptp.set_nat tptp.set_nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_10394 x z) (ho_10394 y z)))) (= x y))))) (let ((_let_6828 (forall ((u |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|) (e tptp.set_Pr1133966238863718811t_unit) (i tptp.set_he8644174446132254637t_unit)) (not (forall ((v |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|)) (not (forall ((ii tptp.set_he8644174446132254637t_unit)) (= (ho_15703 v ii) (ite (= i ii) e (ho_15703 u ii)))))))))) (let ((_let_6829 (forall ((x |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|) (y |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_Pr1133966238863718811t_unit)|)) (or (not (forall ((z tptp.set_he8644174446132254637t_unit)) (= (ho_15703 x z) (ho_15703 y z)))) (= x y))))) (let ((_let_6830 (forall ((u |u_(-> tptp.produc8923325533196201883nteger tptp.int)|) (e tptp.int) (i tptp.produc8923325533196201883nteger)) (not (forall ((v |u_(-> tptp.produc8923325533196201883nteger tptp.int)|)) (not (forall ((ii tptp.produc8923325533196201883nteger)) (= (ho_6663 v ii) (ite (= i ii) e (ho_6663 u ii)))))))))) (let ((_let_6831 (forall ((x |u_(-> tptp.produc8923325533196201883nteger tptp.int)|) (y |u_(-> tptp.produc8923325533196201883nteger tptp.int)|)) (or (not (forall ((z tptp.produc8923325533196201883nteger)) (= (ho_6663 x z) (ho_6663 y z)))) (= x y))))) (let ((_let_6832 (forall ((u |u_(-> tptp.set_se6260736226359567993nt_int tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i tptp.set_se6260736226359567993nt_int)) (not (forall ((v |u_(-> tptp.set_se6260736226359567993nt_int tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.set_se6260736226359567993nt_int)) (= (ho_8978 v ii) (ite (= i ii) e (ho_8978 u ii)))))))))) (let ((_let_6833 (forall ((x |u_(-> tptp.set_se6260736226359567993nt_int tptp.int tptp.int Bool)|) (y |u_(-> tptp.set_se6260736226359567993nt_int tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.set_se6260736226359567993nt_int)) (= (ho_8978 x z) (ho_8978 y z)))) (= x y))))) (let ((_let_6834 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ Bool)|) (e Bool) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_15534 v ii) (ite (= i ii) e (ho_15534 u ii)))))))))) (let ((_let_6835 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_15534 x z) (ho_15534 y z)))) (= x y))))) (let ((_let_6836 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (e |u_(-> tptp.nat tptp.set_o)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_6041 v ii) (ite (= i ii) e (ho_6041 u ii)))))))))) (let ((_let_6837 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_6041 x z) (ho_6041 y z)))) (= x y))))) (let ((_let_6838 (forall ((u |u_(-> tptp.nat tptp.set_rat)|) (e tptp.set_rat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((ii tptp.nat)) (= (ho_7561 v ii) (ite (= i ii) e (ho_7561 u ii)))))))))) (let ((_let_6839 (forall ((x |u_(-> tptp.nat tptp.set_rat)|) (y |u_(-> tptp.nat tptp.set_rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7561 x z) (ho_7561 y z)))) (= x y))))) (let ((_let_6840 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_5567 v ii) (ite (= i ii) e (ho_5567 u ii)))))))))) (let ((_let_6841 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_5567 x z) (ho_5567 y z)))) (= x y))))) (let ((_let_6842 (forall ((u |u_(-> tptp.int Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int Bool tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_9138 v ii) (ite (= i ii) e (ho_9138 u ii)))))))))) (let ((_let_6843 (forall ((x |u_(-> tptp.int Bool tptp.int)|) (y |u_(-> tptp.int Bool tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_9138 x z) (ho_9138 y z)))) (= x y))))) (let ((_let_6844 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14489 v ii) (ite (= i ii) e (ho_14489 u ii)))))))))) (let ((_let_6845 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14489 x z) (ho_14489 y z)))) (= x y))))) (let ((_let_6846 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4884 v ii) (ite (= i ii) e (ho_4884 u ii)))))))))) (let ((_let_6847 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4884 x z) (ho_4884 y z)))) (= x y))))) (let ((_let_6848 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7867 v ii) (ite (= i ii) e (ho_7867 u ii)))))))))) (let ((_let_6849 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7867 x z) (ho_7867 y z)))) (= x y))))) (let ((_let_6850 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10090 v ii) (ite (= i ii) e (ho_10090 u ii)))))))))) (let ((_let_6851 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10090 x z) (ho_10090 y z)))) (= x y))))) (let ((_let_6852 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13955 v ii) (ite (= i ii) e (ho_13955 u ii)))))))))) (let ((_let_6853 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13955 x z) (ho_13955 y z)))) (= x y))))) (let ((_let_6854 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_5896 v ii) (ite (= i ii) e (ho_5896 u ii)))))))))) (let ((_let_6855 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_5896 x z) (ho_5896 y z)))) (= x y))))) (let ((_let_6856 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8255 v ii) (ite (= i ii) e (ho_8255 u ii)))))))))) (let ((_let_6857 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8255 x z) (ho_8255 y z)))) (= x y))))) (let ((_let_6858 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5689 v ii) (ite (= i ii) e (ho_5689 u ii)))))))))) (let ((_let_6859 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5689 x z) (ho_5689 y z)))) (= x y))))) (let ((_let_6860 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_10081 v ii) (ite (= i ii) e (ho_10081 u ii)))))))))) (let ((_let_6861 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_10081 x z) (ho_10081 y z)))) (= x y))))) (let ((_let_6862 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4942 v ii) (ite (= i ii) e (ho_4942 u ii)))))))))) (let ((_let_6863 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.set_Product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4942 x z) (ho_4942 y z)))) (= x y))))) (let ((_let_6864 (forall ((u |u_(-> tptp.rat tptp.rat)|) (e tptp.rat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.rat)|)) (not (forall ((ii tptp.rat)) (= (ho_6804 v ii) (ite (= i ii) e (ho_6804 u ii)))))))))) (let ((_let_6865 (forall ((x |u_(-> tptp.rat tptp.rat)|) (y |u_(-> tptp.rat tptp.rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_6804 x z) (ho_6804 y z)))) (= x y))))) (let ((_let_6866 (forall ((u |u_(-> tptp.set_rat tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.nat tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8803 v ii) (ite (= i ii) e (ho_8803 u ii)))))))))) (let ((_let_6867 (forall ((x |u_(-> tptp.set_rat tptp.nat tptp.set_rat)|) (y |u_(-> tptp.set_rat tptp.nat tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8803 x z) (ho_8803 y z)))) (= x y))))) (let ((_let_6868 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_9706 v ii) (ite (= i ii) e (ho_9706 u ii)))))))))) (let ((_let_6869 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_9706 x z) (ho_9706 y z)))) (= x y))))) (let ((_let_6870 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_4933 v ii) (ite (= i ii) e (ho_4933 u ii)))))))))) (let ((_let_6871 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_4933 x z) (ho_4933 y z)))) (= x y))))) (let ((_let_6872 (forall ((u |u_(-> tptp.set_int tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_10388 v ii) (ite (= i ii) e (ho_10388 u ii)))))))))) (let ((_let_6873 (forall ((x |u_(-> tptp.set_int tptp.set_int Bool)|) (y |u_(-> tptp.set_int tptp.set_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10388 x z) (ho_10388 y z)))) (= x y))))) (let ((_let_6874 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5929 v ii) (ite (= i ii) e (ho_5929 u ii)))))))))) (let ((_let_6875 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5929 x z) (ho_5929 y z)))) (= x y))))) (let ((_let_6876 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9280 v ii) (ite (= i ii) e (ho_9280 u ii)))))))))) (let ((_let_6877 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9280 x z) (ho_9280 y z)))) (= x y))))) (let ((_let_6878 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11384 v ii) (ite (= i ii) e (ho_11384 u ii)))))))))) (let ((_let_6879 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_11384 x z) (ho_11384 y z)))) (= x y))))) (let ((_let_6880 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6896 v ii) (ite (= i ii) e (ho_6896 u ii)))))))))) (let ((_let_6881 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6896 x z) (ho_6896 y z)))) (= x y))))) (let ((_let_6882 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13080 v ii) (ite (= i ii) e (ho_13080 u ii)))))))))) (let ((_let_6883 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13080 x z) (ho_13080 y z)))) (= x y))))) (let ((_let_6884 (forall ((u |u_(-> tptp.nat tptp.set_char)|) (e tptp.set_char) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_char)|)) (not (forall ((ii tptp.nat)) (= (ho_8815 v ii) (ite (= i ii) e (ho_8815 u ii)))))))))) (let ((_let_6885 (forall ((x |u_(-> tptp.nat tptp.set_char)|) (y |u_(-> tptp.nat tptp.set_char)|)) (or (not (forall ((z tptp.nat)) (= (ho_8815 x z) (ho_8815 y z)))) (= x y))))) (let ((_let_6886 (forall ((u |u_(-> tptp.nat tptp.int)|) (e tptp.int) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int)|)) (not (forall ((ii tptp.nat)) (= (ho_4925 v ii) (ite (= i ii) e (ho_4925 u ii)))))))))) (let ((_let_6887 (forall ((x |u_(-> tptp.nat tptp.int)|) (y |u_(-> tptp.nat tptp.int)|)) (or (not (forall ((z tptp.nat)) (= (ho_4925 x z) (ho_4925 y z)))) (= x y))))) (let ((_let_6888 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat tptp.set_o)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_o)|) (i |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (= (ho_15274 v ii) (ite (= i ii) e (ho_15274 u ii)))))))))) (let ((_let_6889 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat Bool)_ tptp.set_Pr8693737435421807431at_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (= (ho_15274 x z) (ho_15274 y z)))) (= x y))))) (let ((_let_6890 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10588 v ii) (ite (= i ii) e (ho_10588 u ii)))))))))) (let ((_let_6891 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10588 x z) (ho_10588 y z)))) (= x y))))) (let ((_let_6892 (forall ((u |u_(-> tptp.nat tptp.num tptp.set_nat)|) (e |u_(-> tptp.num tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_12137 v ii) (ite (= i ii) e (ho_12137 u ii)))))))))) (let ((_let_6893 (forall ((x |u_(-> tptp.nat tptp.num tptp.set_nat)|) (y |u_(-> tptp.nat tptp.num tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_12137 x z) (ho_12137 y z)))) (= x y))))) (let ((_let_6894 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.nat tptp.set_int)|) (e |u_(-> tptp.set_int tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_6143 v ii) (ite (= i ii) e (ho_6143 u ii)))))))))) (let ((_let_6895 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_int tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_6143 x z) (ho_6143 y z)))) (= x y))))) (let ((_let_6896 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7630 v ii) (ite (= i ii) e (ho_7630 u ii)))))))))) (let ((_let_6897 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7630 x z) (ho_7630 y z)))) (= x y))))) (let ((_let_6898 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_4921 v ii) (ite (= i ii) e (ho_4921 u ii)))))))))) (let ((_let_6899 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_4921 x z) (ho_4921 y z)))) (= x y))))) (let ((_let_6900 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8308 v ii) (ite (= i ii) e (ho_8308 u ii)))))))))) (let ((_let_6901 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8308 x z) (ho_8308 y z)))) (= x y))))) (let ((_let_6902 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_14514 v ii) (ite (= i ii) e (ho_14514 u ii)))))))))) (let ((_let_6903 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_14514 x z) (ho_14514 y z)))) (= x y))))) (let ((_let_6904 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10602 v ii) (ite (= i ii) e (ho_10602 u ii)))))))))) (let ((_let_6905 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10602 x z) (ho_10602 y z)))) (= x y))))) (let ((_let_6906 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_4535 v ii) (ite (= i ii) e (ho_4535 u ii)))))))))) (let ((_let_6907 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_4535 x z) (ho_4535 y z)))) (= x y))))) (let ((_let_6908 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8297 v ii) (ite (= i ii) e (ho_8297 u ii)))))))))) (let ((_let_6909 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8297 x z) (ho_8297 y z)))) (= x y))))) (let ((_let_6910 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_4607 v ii) (ite (= i ii) e (ho_4607 u ii)))))))))) (let ((_let_6911 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_4607 x z) (ho_4607 y z)))) (= x y))))) (let ((_let_6912 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.set_int)|) (e |u_(-> tptp.set_int tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_4916 v ii) (ite (= i ii) e (ho_4916 u ii)))))))))) (let ((_let_6913 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_4916 x z) (ho_4916 y z)))) (= x y))))) (let ((_let_6914 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|) (e |u_(-> tptp.int tptp.set_Product_unit)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_9563 v ii) (ite (= i ii) e (ho_9563 u ii)))))))))) (let ((_let_6915 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_9563 x z) (ho_9563 y z)))) (= x y))))) (let ((_let_6916 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_10752 v ii) (ite (= i ii) e (ho_10752 u ii)))))))))) (let ((_let_6917 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_10752 x z) (ho_10752 y z)))) (= x y))))) (let ((_let_6918 (forall ((u |u_(-> tptp.int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_4907 v ii) (ite (= i ii) e (ho_4907 u ii)))))))))) (let ((_let_6919 (forall ((x |u_(-> tptp.int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_4907 x z) (ho_4907 y z)))) (= x y))))) (let ((_let_6920 (forall ((u |u_(-> tptp.int tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.int)) (= (ho_16049 v ii) (ite (= i ii) e (ho_16049 u ii)))))))))) (let ((_let_6921 (forall ((x |u_(-> tptp.int tptp.product_prod_num_nat)|) (y |u_(-> tptp.int tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_16049 x z) (ho_16049 y z)))) (= x y))))) (let ((_let_6922 (forall ((u |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.int)) (= (ho_4610 v ii) (ite (= i ii) e (ho_4610 u ii)))))))))) (let ((_let_6923 (forall ((x |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.int)) (= (ho_4610 x z) (ho_4610 y z)))) (= x y))))) (let ((_let_6924 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_5363 v ii) (ite (= i ii) e (ho_5363 u ii)))))))))) (let ((_let_6925 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_5363 x z) (ho_5363 y z)))) (= x y))))) (let ((_let_6926 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|) (e tptp.produc3969062480670737046t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12490 v ii) (ite (= i ii) e (ho_12490 u ii)))))))))) (let ((_let_6927 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3969062480670737046t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12490 x z) (ho_12490 y z)))) (= x y))))) (let ((_let_6928 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (= (ho_11922 v ii) (ite (= i ii) e (ho_11922 u ii)))))))))) (let ((_let_6929 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.nat)_ _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.product_prod_num_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (= (ho_11922 x z) (ho_11922 y z)))) (= x y))))) (let ((_let_6930 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_8637 v ii) (ite (= i ii) e (ho_8637 u ii)))))))))) (let ((_let_6931 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_8637 x z) (ho_8637 y z)))) (= x y))))) (let ((_let_6932 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|) (e |u_(-> tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|) (i |u_(-> tptp.int tptp.product_prod_int_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_nat)|)) (= (ho_15415 v ii) (ite (= i ii) e (ho_15415 u ii)))))))))) (let ((_let_6933 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.set_int tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_nat)|)) (= (ho_15415 x z) (ho_15415 y z)))) (= x y))))) (let ((_let_6934 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_5840 v ii) (ite (= i ii) e (ho_5840 u ii)))))))))) (let ((_let_6935 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_5840 x z) (ho_5840 y z)))) (= x y))))) (let ((_let_6936 (forall ((u |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.rat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_9290 v ii) (ite (= i ii) e (ho_9290 u ii)))))))))) (let ((_let_6937 (forall ((x |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_9290 x z) (ho_9290 y z)))) (= x y))))) (let ((_let_6938 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_4901 v ii) (ite (= i ii) e (ho_4901 u ii)))))))))) (let ((_let_6939 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int Bool)|) (y |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_4901 x z) (ho_4901 y z)))) (= x y))))) (let ((_let_6940 (forall ((u |u_(-> tptp.set_o Bool tptp.int Bool)|) (e |u_(-> Bool tptp.int Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.int Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7301 v ii) (ite (= i ii) e (ho_7301 u ii)))))))))) (let ((_let_6941 (forall ((x |u_(-> tptp.set_o Bool tptp.int Bool)|) (y |u_(-> tptp.set_o Bool tptp.int Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7301 x z) (ho_7301 y z)))) (= x y))))) (let ((_let_6942 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9721 v ii) (ite (= i ii) e (ho_9721 u ii)))))))))) (let ((_let_6943 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9721 x z) (ho_9721 y z)))) (= x y))))) (let ((_let_6944 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_14734 v ii) (ite (= i ii) e (ho_14734 u ii)))))))))) (let ((_let_6945 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_14734 x z) (ho_14734 y z)))) (= x y))))) (let ((_let_6946 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5820 v ii) (ite (= i ii) e (ho_5820 u ii)))))))))) (let ((_let_6947 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5820 x z) (ho_5820 y z)))) (= x y))))) (let ((_let_6948 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_num)_ tptp.nat tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.nat tptp.set_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_num)_ tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_num)|)) (= (ho_6984 v ii) (ite (= i ii) e (ho_6984 u ii)))))))))) (let ((_let_6949 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_num)_ tptp.nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.nat tptp.set_num)_ tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_num)|)) (= (ho_6984 x z) (ho_6984 y z)))) (= x y))))) (let ((_let_6950 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_12877 v ii) (ite (= i ii) e (ho_12877 u ii)))))))))) (let ((_let_6951 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_12877 x z) (ho_12877 y z)))) (= x y))))) (let ((_let_6952 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_10824 v ii) (ite (= i ii) e (ho_10824 u ii)))))))))) (let ((_let_6953 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_10824 x z) (ho_10824 y z)))) (= x y))))) (let ((_let_6954 (forall ((u |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_o)|) (e tptp.set_o) (i tptp.set_Pr903927857289325719_int_o)) (not (forall ((v |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_o)|)) (not (forall ((ii tptp.set_Pr903927857289325719_int_o)) (= (ho_15688 v ii) (ite (= i ii) e (ho_15688 u ii)))))))))) (let ((_let_6955 (forall ((x |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_o)|) (y |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_o)|)) (or (not (forall ((z tptp.set_Pr903927857289325719_int_o)) (= (ho_15688 x z) (ho_15688 y z)))) (= x y))))) (let ((_let_6956 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_7028 v ii) (ite (= i ii) e (ho_7028 u ii)))))))))) (let ((_let_6957 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_7028 x z) (ho_7028 y z)))) (= x y))))) (let ((_let_6958 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_9590 v ii) (ite (= i ii) e (ho_9590 u ii)))))))))) (let ((_let_6959 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_9590 x z) (ho_9590 y z)))) (= x y))))) (let ((_let_6960 (forall ((u |u_(-> tptp.set_rat tptp.set_rat tptp.set_rat)|) (e |u_(-> tptp.set_rat tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_rat tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8805 v ii) (ite (= i ii) e (ho_8805 u ii)))))))))) (let ((_let_6961 (forall ((x |u_(-> tptp.set_rat tptp.set_rat tptp.set_rat)|) (y |u_(-> tptp.set_rat tptp.set_rat tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8805 x z) (ho_8805 y z)))) (= x y))))) (let ((_let_6962 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_5235 v ii) (ite (= i ii) e (ho_5235 u ii)))))))))) (let ((_let_6963 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_5235 x z) (ho_5235 y z)))) (= x y))))) (let ((_let_6964 (forall ((u |u_(-> tptp.option_num _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|) (e |u_(-> _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|) (i tptp.option_num)) (not (forall ((v |u_(-> tptp.option_num _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|)) (not (forall ((ii tptp.option_num)) (= (ho_5390 v ii) (ite (= i ii) e (ho_5390 u ii)))))))))) (let ((_let_6965 (forall ((x |u_(-> tptp.option_num _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|) (y |u_(-> tptp.option_num _u_(-> tptp.nat tptp.option_num)_ tptp.nat tptp.option_num)|)) (or (not (forall ((z tptp.option_num)) (= (ho_5390 x z) (ho_5390 y z)))) (= x y))))) (let ((_let_6966 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_9724 v ii) (ite (= i ii) e (ho_9724 u ii)))))))))) (let ((_let_6967 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_9724 x z) (ho_9724 y z)))) (= x y))))) (let ((_let_6968 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|) (e Bool) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_5251 v ii) (ite (= i ii) e (ho_5251 u ii)))))))))) (let ((_let_6969 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_5251 x z) (ho_5251 y z)))) (= x y))))) (let ((_let_6970 (forall ((u |u_(-> tptp.set_int tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_set_o)|)) (not (forall ((ii tptp.set_int)) (= (ho_7523 v ii) (ite (= i ii) e (ho_7523 u ii)))))))))) (let ((_let_6971 (forall ((x |u_(-> tptp.set_int tptp.set_set_o)|) (y |u_(-> tptp.set_int tptp.set_set_o)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7523 x z) (ho_7523 y z)))) (= x y))))) (let ((_let_6972 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13124 v ii) (ite (= i ii) e (ho_13124 u ii)))))))))) (let ((_let_6973 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_13124 x z) (ho_13124 y z)))) (= x y))))) (let ((_let_6974 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.int)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8697 v ii) (ite (= i ii) e (ho_8697 u ii)))))))))) (let ((_let_6975 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8697 x z) (ho_8697 y z)))) (= x y))))) (let ((_let_6976 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_7017 v ii) (ite (= i ii) e (ho_7017 u ii)))))))))) (let ((_let_6977 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_7017 x z) (ho_7017 y z)))) (= x y))))) (let ((_let_6978 (forall ((u |u_(-> _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.char Bool)|)) (= (ho_13906 v ii) (ite (= i ii) e (ho_13906 u ii)))))))))) (let ((_let_6979 (forall ((x |u_(-> _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.char Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.char Bool)|)) (= (ho_13906 x z) (ho_13906 y z)))) (= x y))))) (let ((_let_6980 (forall ((u |u_(-> tptp.set_ra2113409117844698048at_nat Bool)|) (e Bool) (i tptp.set_ra2113409117844698048at_nat)) (not (forall ((v |u_(-> tptp.set_ra2113409117844698048at_nat Bool)|)) (not (forall ((ii tptp.set_ra2113409117844698048at_nat)) (= (ho_13605 v ii) (ite (= i ii) e (ho_13605 u ii)))))))))) (let ((_let_6981 (forall ((x |u_(-> tptp.set_ra2113409117844698048at_nat Bool)|) (y |u_(-> tptp.set_ra2113409117844698048at_nat Bool)|)) (or (not (forall ((z tptp.set_ra2113409117844698048at_nat)) (= (ho_13605 x z) (ho_13605 y z)))) (= x y))))) (let ((_let_6982 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_o tptp.set_se5479201105039950375at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4958 v ii) (ite (= i ii) e (ho_4958 u ii)))))))))) (let ((_let_6983 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4958 x z) (ho_4958 y z)))) (= x y))))) (let ((_let_6984 (forall ((u |u_(-> tptp.set_nat tptp.rat tptp.set_rat)|) (e |u_(-> tptp.rat tptp.set_rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.rat tptp.set_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7445 v ii) (ite (= i ii) e (ho_7445 u ii)))))))))) (let ((_let_6985 (forall ((x |u_(-> tptp.set_nat tptp.rat tptp.set_rat)|) (y |u_(-> tptp.set_nat tptp.rat tptp.set_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7445 x z) (ho_7445 y z)))) (= x y))))) (let ((_let_6986 (forall ((u |u_(-> tptp.nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4551 v ii) (ite (= i ii) e (ho_4551 u ii)))))))))) (let ((_let_6987 (forall ((x |u_(-> tptp.nat tptp.set_nat)|) (y |u_(-> tptp.nat tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4551 x z) (ho_4551 y z)))) (= x y))))) (let ((_let_6988 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (= (ho_14444 v ii) (ite (= i ii) e (ho_14444 u ii)))))))))) (let ((_let_6989 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.set_Pr7995236796853374141at_int tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)|)) (= (ho_14444 x z) (ho_14444 y z)))) (= x y))))) (let ((_let_6990 (forall ((u |u_(-> tptp.set_int tptp.set_se6260736226359567993nt_int)|) (e tptp.set_se6260736226359567993nt_int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_se6260736226359567993nt_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_4899 v ii) (ite (= i ii) e (ho_4899 u ii)))))))))) (let ((_let_6991 (forall ((x |u_(-> tptp.set_int tptp.set_se6260736226359567993nt_int)|) (y |u_(-> tptp.set_int tptp.set_se6260736226359567993nt_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4899 x z) (ho_4899 y z)))) (= x y))))) (let ((_let_6992 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4501 v ii) (ite (= i ii) e (ho_4501 u ii)))))))))) (let ((_let_6993 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4501 x z) (ho_4501 y z)))) (= x y))))) (let ((_let_6994 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> Bool tptp.rat tptp.nat tptp.nat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_8103 v ii) (ite (= i ii) e (ho_8103 u ii)))))))))) (let ((_let_6995 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_8103 x z) (ho_8103 y z)))) (= x y))))) (let ((_let_6996 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|) (e tptp.set_Pr7717912310451564380at_nat) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14607 v ii) (ite (= i ii) e (ho_14607 u ii)))))))))) (let ((_let_6997 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_14607 x z) (ho_14607 y z)))) (= x y))))) (let ((_let_6998 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13160 v ii) (ite (= i ii) e (ho_13160 u ii)))))))))) (let ((_let_6999 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_13160 x z) (ho_13160 y z)))) (= x y))))) (let ((_let_7000 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10544 v ii) (ite (= i ii) e (ho_10544 u ii)))))))))) (let ((_let_7001 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10544 x z) (ho_10544 y z)))) (= x y))))) (let ((_let_7002 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7723 v ii) (ite (= i ii) e (ho_7723 u ii)))))))))) (let ((_let_7003 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7723 x z) (ho_7723 y z)))) (= x y))))) (let ((_let_7004 (forall ((u |u_(-> tptp.set_int tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_4949 v ii) (ite (= i ii) e (ho_4949 u ii)))))))))) (let ((_let_7005 (forall ((x |u_(-> tptp.set_int tptp.int tptp.nat Bool)|) (y |u_(-> tptp.set_int tptp.int tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4949 x z) (ho_4949 y z)))) (= x y))))) (let ((_let_7006 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.set_nat)|) (e |u_(-> tptp.set_int tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_4893 v ii) (ite (= i ii) e (ho_4893 u ii)))))))))) (let ((_let_7007 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_4893 x z) (ho_4893 y z)))) (= x y))))) (let ((_let_7008 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.int Bool)|)) (= (ho_14103 v ii) (ite (= i ii) e (ho_14103 u ii)))))))))) (let ((_let_7009 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.int Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.int Bool)|)) (= (ho_14103 x z) (ho_14103 y z)))) (= x y))))) (let ((_let_7010 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_16048 v ii) (ite (= i ii) e (ho_16048 u ii)))))))))) (let ((_let_7011 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_16048 x z) (ho_16048 y z)))) (= x y))))) (let ((_let_7012 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8729 v ii) (ite (= i ii) e (ho_8729 u ii)))))))))) (let ((_let_7013 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8729 x z) (ho_8729 y z)))) (= x y))))) (let ((_let_7014 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5323 v ii) (ite (= i ii) e (ho_5323 u ii)))))))))) (let ((_let_7015 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5323 x z) (ho_5323 y z)))) (= x y))))) (let ((_let_7016 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7124 v ii) (ite (= i ii) e (ho_7124 u ii)))))))))) (let ((_let_7017 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7124 x z) (ho_7124 y z)))) (= x y))))) (let ((_let_7018 (forall ((u |u_(-> tptp.int tptp.nat)|) (e tptp.nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_4891 v ii) (ite (= i ii) e (ho_4891 u ii)))))))))) (let ((_let_7019 (forall ((x |u_(-> tptp.int tptp.nat)|) (y |u_(-> tptp.int tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_4891 x z) (ho_4891 y z)))) (= x y))))) (let ((_let_7020 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9734 v ii) (ite (= i ii) e (ho_9734 u ii)))))))))) (let ((_let_7021 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9734 x z) (ho_9734 y z)))) (= x y))))) (let ((_let_7022 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_5517 v ii) (ite (= i ii) e (ho_5517 u ii)))))))))) (let ((_let_7023 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_5517 x z) (ho_5517 y z)))) (= x y))))) (let ((_let_7024 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5133 v ii) (ite (= i ii) e (ho_5133 u ii)))))))))) (let ((_let_7025 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5133 x z) (ho_5133 y z)))) (= x y))))) (let ((_let_7026 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_4887 v ii) (ite (= i ii) e (ho_4887 u ii)))))))))) (let ((_let_7027 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_4887 x z) (ho_4887 y z)))) (= x y))))) (let ((_let_7028 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_13157 v ii) (ite (= i ii) e (ho_13157 u ii)))))))))) (let ((_let_7029 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_13157 x z) (ho_13157 y z)))) (= x y))))) (let ((_let_7030 (forall ((u |u_(-> tptp.nat tptp.num tptp.nat tptp.num Bool)|) (e |u_(-> tptp.num tptp.nat tptp.num Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_10141 v ii) (ite (= i ii) e (ho_10141 u ii)))))))))) (let ((_let_7031 (forall ((x |u_(-> tptp.nat tptp.num tptp.nat tptp.num Bool)|) (y |u_(-> tptp.nat tptp.num tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_10141 x z) (ho_10141 y z)))) (= x y))))) (let ((_let_7032 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_13898 v ii) (ite (= i ii) e (ho_13898 u ii)))))))))) (let ((_let_7033 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_13898 x z) (ho_13898 y z)))) (= x y))))) (let ((_let_7034 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11704 v ii) (ite (= i ii) e (ho_11704 u ii)))))))))) (let ((_let_7035 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11704 x z) (ho_11704 y z)))) (= x y))))) (let ((_let_7036 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_6817 v ii) (ite (= i ii) e (ho_6817 u ii)))))))))) (let ((_let_7037 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_6817 x z) (ho_6817 y z)))) (= x y))))) (let ((_let_7038 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_12797 v ii) (ite (= i ii) e (ho_12797 u ii)))))))))) (let ((_let_7039 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_12797 x z) (ho_12797 y z)))) (= x y))))) (let ((_let_7040 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|) (e |u_(-> tptp.set_int Bool Bool)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_8738 v ii) (ite (= i ii) e (ho_8738 u ii)))))))))) (let ((_let_7041 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_8738 x z) (ho_8738 y z)))) (= x y))))) (let ((_let_7042 (forall ((u |u_(-> Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii Bool)) (= (ho_4619 v ii) (ite (= i ii) e (ho_4619 u ii)))))))))) (let ((_let_7043 (forall ((x |u_(-> Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> Bool Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z Bool)) (= (ho_4619 x z) (ho_4619 y z)))) (= x y))))) (let ((_let_7044 (forall ((u |u_(-> tptp.num tptp.nat tptp.option_num)|) (e |u_(-> tptp.nat tptp.option_num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat tptp.option_num)|)) (not (forall ((ii tptp.num)) (= (ho_4840 v ii) (ite (= i ii) e (ho_4840 u ii)))))))))) (let ((_let_7045 (forall ((x |u_(-> tptp.num tptp.nat tptp.option_num)|) (y |u_(-> tptp.num tptp.nat tptp.option_num)|)) (or (not (forall ((z tptp.num)) (= (ho_4840 x z) (ho_4840 y z)))) (= x y))))) (let ((_let_7046 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5971 v ii) (ite (= i ii) e (ho_5971 u ii)))))))))) (let ((_let_7047 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5971 x z) (ho_5971 y z)))) (= x y))))) (let ((_let_7048 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5239 v ii) (ite (= i ii) e (ho_5239 u ii)))))))))) (let ((_let_7049 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5239 x z) (ho_5239 y z)))) (= x y))))) (let ((_let_7050 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|) (e |u_(-> tptp.num tptp.int tptp.num)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_7314 v ii) (ite (= i ii) e (ho_7314 u ii)))))))))) (let ((_let_7051 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_7314 x z) (ho_7314 y z)))) (= x y))))) (let ((_let_7052 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4885 v ii) (ite (= i ii) e (ho_4885 u ii)))))))))) (let ((_let_7053 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4885 x z) (ho_4885 y z)))) (= x y))))) (let ((_let_7054 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_15617 v ii) (ite (= i ii) e (ho_15617 u ii)))))))))) (let ((_let_7055 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.product_prod_nat_nat tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_15617 x z) (ho_15617 y z)))) (= x y))))) (let ((_let_7056 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|) (e |u_(-> Bool tptp.product_prod_num_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_13252 v ii) (ite (= i ii) e (ho_13252 u ii)))))))))) (let ((_let_7057 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_13252 x z) (ho_13252 y z)))) (= x y))))) (let ((_let_7058 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_4875 v ii) (ite (= i ii) e (ho_4875 u ii)))))))))) (let ((_let_7059 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_4875 x z) (ho_4875 y z)))) (= x y))))) (let ((_let_7060 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_num_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12571 v ii) (ite (= i ii) e (ho_12571 u ii)))))))))) (let ((_let_7061 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12571 x z) (ho_12571 y z)))) (= x y))))) (let ((_let_7062 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_14010 v ii) (ite (= i ii) e (ho_14010 u ii)))))))))) (let ((_let_7063 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.product_prod_nat_nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_14010 x z) (ho_14010 y z)))) (= x y))))) (let ((_let_7064 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_4869 v ii) (ite (= i ii) e (ho_4869 u ii)))))))))) (let ((_let_7065 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_4869 x z) (ho_4869 y z)))) (= x y))))) (let ((_let_7066 (forall ((u |u_(-> tptp.nat tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.int)|)) (not (forall ((ii tptp.nat)) (= (ho_13825 v ii) (ite (= i ii) e (ho_13825 u ii)))))))))) (let ((_let_7067 (forall ((x |u_(-> tptp.nat tptp.nat tptp.int)|) (y |u_(-> tptp.nat tptp.nat tptp.int)|)) (or (not (forall ((z tptp.nat)) (= (ho_13825 x z) (ho_13825 y z)))) (= x y))))) (let ((_let_7068 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4645 v ii) (ite (= i ii) e (ho_4645 u ii)))))))))) (let ((_let_7069 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4645 x z) (ho_4645 y z)))) (= x y))))) (let ((_let_7070 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7559 v ii) (ite (= i ii) e (ho_7559 u ii)))))))))) (let ((_let_7071 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7559 x z) (ho_7559 y z)))) (= x y))))) (let ((_let_7072 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7777 v ii) (ite (= i ii) e (ho_7777 u ii)))))))))) (let ((_let_7073 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7777 x z) (ho_7777 y z)))) (= x y))))) (let ((_let_7074 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.int)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.int)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6922 v ii) (ite (= i ii) e (ho_6922 u ii)))))))))) (let ((_let_7075 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.int)_ Bool tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.int)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6922 x z) (ho_6922 y z)))) (= x y))))) (let ((_let_7076 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_5570 v ii) (ite (= i ii) e (ho_5570 u ii)))))))))) (let ((_let_7077 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_5570 x z) (ho_5570 y z)))) (= x y))))) (let ((_let_7078 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10723 v ii) (ite (= i ii) e (ho_10723 u ii)))))))))) (let ((_let_7079 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10723 x z) (ho_10723 y z)))) (= x y))))) (let ((_let_7080 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.set_nat)|) (e |u_(-> tptp.set_o tptp.set_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_4866 v ii) (ite (= i ii) e (ho_4866 u ii)))))))))) (let ((_let_7081 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_4866 x z) (ho_4866 y z)))) (= x y))))) (let ((_let_7082 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12790 v ii) (ite (= i ii) e (ho_12790 u ii)))))))))) (let ((_let_7083 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (= (ho_12790 x z) (ho_12790 y z)))) (= x y))))) (let ((_let_7084 (forall ((u |u_(-> tptp.product_prod_nat_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4632 v ii) (ite (= i ii) e (ho_4632 u ii)))))))))) (let ((_let_7085 (forall ((x |u_(-> tptp.product_prod_nat_nat Bool tptp.set_nat)|) (y |u_(-> tptp.product_prod_nat_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4632 x z) (ho_4632 y z)))) (= x y))))) (let ((_let_7086 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5118 v ii) (ite (= i ii) e (ho_5118 u ii)))))))))) (let ((_let_7087 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5118 x z) (ho_5118 y z)))) (= x y))))) (let ((_let_7088 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9752 v ii) (ite (= i ii) e (ho_9752 u ii)))))))))) (let ((_let_7089 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9752 x z) (ho_9752 y z)))) (= x y))))) (let ((_let_7090 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii tptp.set_num)) (= (ho_10370 v ii) (ite (= i ii) e (ho_10370 u ii)))))))))) (let ((_let_7091 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> tptp.set_num _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z tptp.set_num)) (= (ho_10370 x z) (ho_10370 y z)))) (= x y))))) (let ((_let_7092 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int Bool tptp.set_int)|) (e |u_(-> tptp.set_int Bool tptp.set_int)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_6147 v ii) (ite (= i ii) e (ho_6147 u ii)))))))))) (let ((_let_7093 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_6147 x z) (ho_6147 y z)))) (= x y))))) (let ((_let_7094 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_14417 v ii) (ite (= i ii) e (ho_14417 u ii)))))))))) (let ((_let_7095 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_14417 x z) (ho_14417 y z)))) (= x y))))) (let ((_let_7096 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5687 v ii) (ite (= i ii) e (ho_5687 u ii)))))))))) (let ((_let_7097 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5687 x z) (ho_5687 y z)))) (= x y))))) (let ((_let_7098 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8301 v ii) (ite (= i ii) e (ho_8301 u ii)))))))))) (let ((_let_7099 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8301 x z) (ho_8301 y z)))) (= x y))))) (let ((_let_7100 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (= (ho_10124 v ii) (ite (= i ii) e (ho_10124 u ii)))))))))) (let ((_let_7101 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (= (ho_10124 x z) (ho_10124 y z)))) (= x y))))) (let ((_let_7102 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_o tptp.nat Bool)|) (e |u_(-> Bool tptp.set_o tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_o tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_7873 v ii) (ite (= i ii) e (ho_7873 u ii)))))))))) (let ((_let_7103 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_o tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_7873 x z) (ho_7873 y z)))) (= x y))))) (let ((_let_7104 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5649 v ii) (ite (= i ii) e (ho_5649 u ii)))))))))) (let ((_let_7105 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5649 x z) (ho_5649 y z)))) (= x y))))) (let ((_let_7106 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_13865 v ii) (ite (= i ii) e (ho_13865 u ii)))))))))) (let ((_let_7107 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_13865 x z) (ho_13865 y z)))) (= x y))))) (let ((_let_7108 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_4859 v ii) (ite (= i ii) e (ho_4859 u ii)))))))))) (let ((_let_7109 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_4859 x z) (ho_4859 y z)))) (= x y))))) (let ((_let_7110 (forall ((u |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|) (e |u_(-> tptp.nat tptp.product_prod_nat_num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.num)) (= (ho_8089 v ii) (ite (= i ii) e (ho_8089 u ii)))))))))) (let ((_let_7111 (forall ((x |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|) (y |u_(-> tptp.num tptp.nat tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.num)) (= (ho_8089 x z) (ho_8089 y z)))) (= x y))))) (let ((_let_7112 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (= (ho_13119 v ii) (ite (= i ii) e (ho_13119 u ii)))))))))) (let ((_let_7113 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (= (ho_13119 x z) (ho_13119 y z)))) (= x y))))) (let ((_let_7114 (forall ((u |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15761 v ii) (ite (= i ii) e (ho_15761 u ii)))))))))) (let ((_let_7115 (forall ((x |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.product_unit tptp.product_unit tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15761 x z) (ho_15761 y z)))) (= x y))))) (let ((_let_7116 (forall ((u |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4847 v ii) (ite (= i ii) e (ho_4847 u ii)))))))))) (let ((_let_7117 (forall ((x |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4847 x z) (ho_4847 y z)))) (= x y))))) (let ((_let_7118 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_7317 v ii) (ite (= i ii) e (ho_7317 u ii)))))))))) (let ((_let_7119 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7317 x z) (ho_7317 y z)))) (= x y))))) (let ((_let_7120 (forall ((u |u_(-> _u_(-> tptp.num tptp.set_int)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|) (i |u_(-> tptp.num tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.set_int)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.num tptp.set_int)|)) (= (ho_14407 v ii) (ite (= i ii) e (ho_14407 u ii)))))))))) (let ((_let_7121 (forall ((x |u_(-> _u_(-> tptp.num tptp.set_int)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.num tptp.set_int)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.num tptp.set_int)|)) (= (ho_14407 x z) (ho_14407 y z)))) (= x y))))) (let ((_let_7122 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|)) (= (ho_14097 v ii) (ite (= i ii) e (ho_14097 u ii)))))))))) (let ((_let_7123 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)|)) (= (ho_14097 x z) (ho_14097 y z)))) (= x y))))) (let ((_let_7124 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8665 v ii) (ite (= i ii) e (ho_8665 u ii)))))))))) (let ((_let_7125 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8665 x z) (ho_8665 y z)))) (= x y))))) (let ((_let_7126 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_16047 v ii) (ite (= i ii) e (ho_16047 u ii)))))))))) (let ((_let_7127 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_16047 x z) (ho_16047 y z)))) (= x y))))) (let ((_let_7128 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10957 v ii) (ite (= i ii) e (ho_10957 u ii)))))))))) (let ((_let_7129 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10957 x z) (ho_10957 y z)))) (= x y))))) (let ((_let_7130 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14787 v ii) (ite (= i ii) e (ho_14787 u ii)))))))))) (let ((_let_7131 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_14787 x z) (ho_14787 y z)))) (= x y))))) (let ((_let_7132 (forall ((u |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (e |u_(-> _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (i tptp.option_num)) (not (forall ((v |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|)) (not (forall ((ii tptp.option_num)) (= (ho_4836 v ii) (ite (= i ii) e (ho_4836 u ii)))))))))) (let ((_let_7133 (forall ((x |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (y |u_(-> tptp.option_num _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|)) (or (not (forall ((z tptp.option_num)) (= (ho_4836 x z) (ho_4836 y z)))) (= x y))))) (let ((_let_7134 (forall ((u |u_(-> tptp.nat tptp.nat)|) (e tptp.nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4855 v ii) (ite (= i ii) e (ho_4855 u ii)))))))))) (let ((_let_7135 (forall ((x |u_(-> tptp.nat tptp.nat)|) (y |u_(-> tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4855 x z) (ho_4855 y z)))) (= x y))))) (let ((_let_7136 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6879 v ii) (ite (= i ii) e (ho_6879 u ii)))))))))) (let ((_let_7137 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6879 x z) (ho_6879 y z)))) (= x y))))) (let ((_let_7138 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.product_unit tptp.set_rat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7362 v ii) (ite (= i ii) e (ho_7362 u ii)))))))))) (let ((_let_7139 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7362 x z) (ho_7362 y z)))) (= x y))))) (let ((_let_7140 (forall ((u |u_(-> tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4939 v ii) (ite (= i ii) e (ho_4939 u ii)))))))))) (let ((_let_7141 (forall ((x |u_(-> tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4939 x z) (ho_4939 y z)))) (= x y))))) (let ((_let_7142 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6280 v ii) (ite (= i ii) e (ho_6280 u ii)))))))))) (let ((_let_7143 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6280 x z) (ho_6280 y z)))) (= x y))))) (let ((_let_7144 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_8169 v ii) (ite (= i ii) e (ho_8169 u ii)))))))))) (let ((_let_7145 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_8169 x z) (ho_8169 y z)))) (= x y))))) (let ((_let_7146 (forall ((u |u_(-> tptp.set_int tptp.set_set_Product_unit)|) (e tptp.set_set_Product_unit) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_int)) (= (ho_15089 v ii) (ite (= i ii) e (ho_15089 u ii)))))))))) (let ((_let_7147 (forall ((x |u_(-> tptp.set_int tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_int tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15089 x z) (ho_15089 y z)))) (= x y))))) (let ((_let_7148 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8387 v ii) (ite (= i ii) e (ho_8387 u ii)))))))))) (let ((_let_7149 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8387 x z) (ho_8387 y z)))) (= x y))))) (let ((_let_7150 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12454 v ii) (ite (= i ii) e (ho_12454 u ii)))))))))) (let ((_let_7151 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ tptp.produc7812382424243267045t_unit tptp.produc3438435131210021710_a_nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12454 x z) (ho_12454 y z)))) (= x y))))) (let ((_let_7152 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5523 v ii) (ite (= i ii) e (ho_5523 u ii)))))))))) (let ((_let_7153 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5523 x z) (ho_5523 y z)))) (= x y))))) (let ((_let_7154 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.nat tptp.set_o)|) (e |u_(-> tptp.nat tptp.set_o tptp.nat tptp.set_o)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7475 v ii) (ite (= i ii) e (ho_7475 u ii)))))))))) (let ((_let_7155 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7475 x z) (ho_7475 y z)))) (= x y))))) (let ((_let_7156 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|) (e tptp.set_nat) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_4845 v ii) (ite (= i ii) e (ho_4845 u ii)))))))))) (let ((_let_7157 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_4845 x z) (ho_4845 y z)))) (= x y))))) (let ((_let_7158 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 v ii) (ite (= i ii) e (ho_9729 u ii)))))))))) (let ((_let_7159 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 x z) (ho_9729 y z)))) (= x y))))) (let ((_let_7160 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8391 v ii) (ite (= i ii) e (ho_8391 u ii)))))))))) (let ((_let_7161 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8391 x z) (ho_8391 y z)))) (= x y))))) (let ((_let_7162 (forall ((u |u_(-> tptp.set_int tptp.product_unit tptp.set_int)|) (e |u_(-> tptp.product_unit tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.product_unit tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6152 v ii) (ite (= i ii) e (ho_6152 u ii)))))))))) (let ((_let_7163 (forall ((x |u_(-> tptp.set_int tptp.product_unit tptp.set_int)|) (y |u_(-> tptp.set_int tptp.product_unit tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6152 x z) (ho_6152 y z)))) (= x y))))) (let ((_let_7164 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.set_int)|) (e |u_(-> tptp.set_Product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6107 v ii) (ite (= i ii) e (ho_6107 u ii)))))))))) (let ((_let_7165 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6107 x z) (ho_6107 y z)))) (= x y))))) (let ((_let_7166 (forall ((u |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8846 v ii) (ite (= i ii) e (ho_8846 u ii)))))))))) (let ((_let_7167 (forall ((x |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8846 x z) (ho_8846 y z)))) (= x y))))) (let ((_let_7168 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5255 v ii) (ite (= i ii) e (ho_5255 u ii)))))))))) (let ((_let_7169 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5255 x z) (ho_5255 y z)))) (= x y))))) (let ((_let_7170 (forall ((u |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (e |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (i |u_(-> tptp.rat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (not (forall ((ii |u_(-> tptp.rat tptp.char)|)) (= (ho_13425 v ii) (ite (= i ii) e (ho_13425 u ii)))))))))) (let ((_let_7171 (forall ((x |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|) (y |u_(-> _u_(-> tptp.rat tptp.char)_ tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.char)|)) (= (ho_13425 x z) (ho_13425 y z)))) (= x y))))) (let ((_let_7172 (forall ((u |u_(-> tptp.nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5457 v ii) (ite (= i ii) e (ho_5457 u ii)))))))))) (let ((_let_7173 (forall ((x |u_(-> tptp.nat tptp.nat tptp.nat)|) (y |u_(-> tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5457 x z) (ho_5457 y z)))) (= x y))))) (let ((_let_7174 (forall ((u |u_(-> tptp.produc1522404539988722607at_nat Bool)|) (e Bool) (i tptp.produc1522404539988722607at_nat)) (not (forall ((v |u_(-> tptp.produc1522404539988722607at_nat Bool)|)) (not (forall ((ii tptp.produc1522404539988722607at_nat)) (= (ho_16046 v ii) (ite (= i ii) e (ho_16046 u ii)))))))))) (let ((_let_7175 (forall ((x |u_(-> tptp.produc1522404539988722607at_nat Bool)|) (y |u_(-> tptp.produc1522404539988722607at_nat Bool)|)) (or (not (forall ((z tptp.produc1522404539988722607at_nat)) (= (ho_16046 x z) (ho_16046 y z)))) (= x y))))) (let ((_let_7176 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_11133 v ii) (ite (= i ii) e (ho_11133 u ii)))))))))) (let ((_let_7177 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_11133 x z) (ho_11133 y z)))) (= x y))))) (let ((_let_7178 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat Bool)|) (e |u_(-> tptp.set_Pr3280342998896498603um_nat Bool)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_15376 v ii) (ite (= i ii) e (ho_15376 u ii)))))))))) (let ((_let_7179 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_15376 x z) (ho_15376 y z)))) (= x y))))) (let ((_let_7180 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|) (e |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10320 v ii) (ite (= i ii) e (ho_10320 u ii)))))))))) (let ((_let_7181 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10320 x z) (ho_10320 y z)))) (= x y))))) (let ((_let_7182 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ tptp.nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7306 v ii) (ite (= i ii) e (ho_7306 u ii)))))))))) (let ((_let_7183 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7306 x z) (ho_7306 y z)))) (= x y))))) (let ((_let_7184 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8259 v ii) (ite (= i ii) e (ho_8259 u ii)))))))))) (let ((_let_7185 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8259 x z) (ho_8259 y z)))) (= x y))))) (let ((_let_7186 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7191 v ii) (ite (= i ii) e (ho_7191 u ii)))))))))) (let ((_let_7187 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7191 x z) (ho_7191 y z)))) (= x y))))) (let ((_let_7188 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.set_o tptp.int Bool)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_8792 v ii) (ite (= i ii) e (ho_8792 u ii)))))))))) (let ((_let_7189 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_int tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_8792 x z) (ho_8792 y z)))) (= x y))))) (let ((_let_7190 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_13891 v ii) (ite (= i ii) e (ho_13891 u ii)))))))))) (let ((_let_7191 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_13891 x z) (ho_13891 y z)))) (= x y))))) (let ((_let_7192 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10633 v ii) (ite (= i ii) e (ho_10633 u ii)))))))))) (let ((_let_7193 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10633 x z) (ho_10633 y z)))) (= x y))))) (let ((_let_7194 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (e Bool) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 v ii) (ite (= i ii) e (ho_5240 u ii)))))))))) (let ((_let_7195 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 x z) (ho_5240 y z)))) (= x y))))) (let ((_let_7196 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_13174 v ii) (ite (= i ii) e (ho_13174 u ii)))))))))) (let ((_let_7197 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_13174 x z) (ho_13174 y z)))) (= x y))))) (let ((_let_7198 (forall ((u |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_10788 v ii) (ite (= i ii) e (ho_10788 u ii)))))))))) (let ((_let_7199 (forall ((x |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|) (y |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_10788 x z) (ho_10788 y z)))) (= x y))))) (let ((_let_7200 (forall ((u |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4623 v ii) (ite (= i ii) e (ho_4623 u ii)))))))))) (let ((_let_7201 (forall ((x |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4623 x z) (ho_4623 y z)))) (= x y))))) (let ((_let_7202 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (= (ho_7107 v ii) (ite (= i ii) e (ho_7107 u ii)))))))))) (let ((_let_7203 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (= (ho_7107 x z) (ho_7107 y z)))) (= x y))))) (let ((_let_7204 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6861 v ii) (ite (= i ii) e (ho_6861 u ii)))))))))) (let ((_let_7205 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6861 x z) (ho_6861 y z)))) (= x y))))) (let ((_let_7206 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5719 v ii) (ite (= i ii) e (ho_5719 u ii)))))))))) (let ((_let_7207 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5719 x z) (ho_5719 y z)))) (= x y))))) (let ((_let_7208 (forall ((u |u_(-> tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_4935 v ii) (ite (= i ii) e (ho_4935 u ii)))))))))) (let ((_let_7209 (forall ((x |u_(-> tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_4935 x z) (ho_4935 y z)))) (= x y))))) (let ((_let_7210 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_7105 v ii) (ite (= i ii) e (ho_7105 u ii)))))))))) (let ((_let_7211 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_7105 x z) (ho_7105 y z)))) (= x y))))) (let ((_let_7212 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (= (ho_14248 v ii) (ite (= i ii) e (ho_14248 u ii)))))))))) (let ((_let_7213 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (= (ho_14248 x z) (ho_14248 y z)))) (= x y))))) (let ((_let_7214 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_7032 v ii) (ite (= i ii) e (ho_7032 u ii)))))))))) (let ((_let_7215 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_7032 x z) (ho_7032 y z)))) (= x y))))) (let ((_let_7216 (forall ((u |u_(-> tptp.int tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.rat tptp.nat tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_8097 v ii) (ite (= i ii) e (ho_8097 u ii)))))))))) (let ((_let_7217 (forall ((x |u_(-> tptp.int tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.int tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_8097 x z) (ho_8097 y z)))) (= x y))))) (let ((_let_7218 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_set_nat tptp.set_set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_6951 v ii) (ite (= i ii) e (ho_6951 u ii)))))))))) (let ((_let_7219 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_6951 x z) (ho_6951 y z)))) (= x y))))) (let ((_let_7220 (forall ((u |u_(-> tptp.product_prod_int_int tptp.num)|) (e tptp.num) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.num)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12686 v ii) (ite (= i ii) e (ho_12686 u ii)))))))))) (let ((_let_7221 (forall ((x |u_(-> tptp.product_prod_int_int tptp.num)|) (y |u_(-> tptp.product_prod_int_int tptp.num)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12686 x z) (ho_12686 y z)))) (= x y))))) (let ((_let_7222 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7830 v ii) (ite (= i ii) e (ho_7830 u ii)))))))))) (let ((_let_7223 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7830 x z) (ho_7830 y z)))) (= x y))))) (let ((_let_7224 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5626 v ii) (ite (= i ii) e (ho_5626 u ii)))))))))) (let ((_let_7225 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5626 x z) (ho_5626 y z)))) (= x y))))) (let ((_let_7226 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6928 v ii) (ite (= i ii) e (ho_6928 u ii)))))))))) (let ((_let_7227 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6928 x z) (ho_6928 y z)))) (= x y))))) (let ((_let_7228 (forall ((u |u_(-> tptp.product_prod_int_int Bool)|) (e Bool) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_4599 v ii) (ite (= i ii) e (ho_4599 u ii)))))))))) (let ((_let_7229 (forall ((x |u_(-> tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_4599 x z) (ho_4599 y z)))) (= x y))))) (let ((_let_7230 (forall ((u |u_(-> tptp.code_integer tptp.nat)|) (e tptp.nat) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.nat)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5454 v ii) (ite (= i ii) e (ho_5454 u ii)))))))))) (let ((_let_7231 (forall ((x |u_(-> tptp.code_integer tptp.nat)|) (y |u_(-> tptp.code_integer tptp.nat)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5454 x z) (ho_5454 y z)))) (= x y))))) (let ((_let_7232 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_6069 v ii) (ite (= i ii) e (ho_6069 u ii)))))))))) (let ((_let_7233 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_6069 x z) (ho_6069 y z)))) (= x y))))) (let ((_let_7234 (forall ((u |u_(-> tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_10807 v ii) (ite (= i ii) e (ho_10807 u ii)))))))))) (let ((_let_7235 (forall ((x |u_(-> tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_10807 x z) (ho_10807 y z)))) (= x y))))) (let ((_let_7236 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|) (e |u_(-> tptp.nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14747 v ii) (ite (= i ii) e (ho_14747 u ii)))))))))) (let ((_let_7237 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14747 x z) (ho_14747 y z)))) (= x y))))) (let ((_let_7238 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_5600 v ii) (ite (= i ii) e (ho_5600 u ii)))))))))) (let ((_let_7239 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_5600 x z) (ho_5600 y z)))) (= x y))))) (let ((_let_7240 (forall ((u |u_(-> tptp.set_Pr6558897299634722526_nat_o Bool)|) (e Bool) (i tptp.set_Pr6558897299634722526_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr6558897299634722526_nat_o Bool)|)) (not (forall ((ii tptp.set_Pr6558897299634722526_nat_o)) (= (ho_14669 v ii) (ite (= i ii) e (ho_14669 u ii)))))))))) (let ((_let_7241 (forall ((x |u_(-> tptp.set_Pr6558897299634722526_nat_o Bool)|) (y |u_(-> tptp.set_Pr6558897299634722526_nat_o Bool)|)) (or (not (forall ((z tptp.set_Pr6558897299634722526_nat_o)) (= (ho_14669 x z) (ho_14669 y z)))) (= x y))))) (let ((_let_7242 (forall ((u |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.nat)_ tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|) (e |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|) (i |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.nat)_ tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|)) (= (ho_14923 v ii) (ite (= i ii) e (ho_14923 u ii)))))))))) (let ((_let_7243 (forall ((x |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.nat)_ tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.nat)_ tptp.set_Pr4334478416066269672t_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc526117512892780850t_unit tptp.nat)|)) (= (ho_14923 x z) (ho_14923 y z)))) (= x y))))) (let ((_let_7244 (forall ((u |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_5754 v ii) (ite (= i ii) e (ho_5754 u ii)))))))))) (let ((_let_7245 (forall ((x |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_o tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5754 x z) (ho_5754 y z)))) (= x y))))) (let ((_let_7246 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|) (e |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|) (i |u_(-> tptp.set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_15103 v ii) (ite (= i ii) e (ho_15103 u ii)))))))))) (let ((_let_7247 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_int)|)) (= (ho_15103 x z) (ho_15103 y z)))) (= x y))))) (let ((_let_7248 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4625 v ii) (ite (= i ii) e (ho_4625 u ii)))))))))) (let ((_let_7249 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4625 x z) (ho_4625 y z)))) (= x y))))) (let ((_let_7250 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_12624 v ii) (ite (= i ii) e (ho_12624 u ii)))))))))) (let ((_let_7251 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_12624 x z) (ho_12624 y z)))) (= x y))))) (let ((_let_7252 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9766 v ii) (ite (= i ii) e (ho_9766 u ii)))))))))) (let ((_let_7253 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9766 x z) (ho_9766 y z)))) (= x y))))) (let ((_let_7254 (forall ((u |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc600557818389255820it_nat)) (not (forall ((v |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|)) (not (forall ((ii tptp.produc600557818389255820it_nat)) (= (ho_14934 v ii) (ite (= i ii) e (ho_14934 u ii)))))))))) (let ((_let_7255 (forall ((x |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|) (y |u_(-> tptp.produc600557818389255820it_nat tptp.product_unit)|)) (or (not (forall ((z tptp.produc600557818389255820it_nat)) (= (ho_14934 x z) (ho_14934 y z)))) (= x y))))) (let ((_let_7256 (forall ((u |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|) (e |u_(-> Bool tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8524 v ii) (ite (= i ii) e (ho_8524 u ii)))))))))) (let ((_let_7257 (forall ((x |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8524 x z) (ho_8524 y z)))) (= x y))))) (let ((_let_7258 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num tptp.option_num)_ tptp.product_prod_nat_num tptp.option_num)|) (e |u_(-> tptp.product_prod_nat_num tptp.option_num)|) (i |u_(-> tptp.nat tptp.num tptp.option_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num tptp.option_num)_ tptp.product_prod_nat_num tptp.option_num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num tptp.option_num)|)) (= (ho_6642 v ii) (ite (= i ii) e (ho_6642 u ii)))))))))) (let ((_let_7259 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num tptp.option_num)_ tptp.product_prod_nat_num tptp.option_num)|) (y |u_(-> _u_(-> tptp.nat tptp.num tptp.option_num)_ tptp.product_prod_nat_num tptp.option_num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num tptp.option_num)|)) (= (ho_6642 x z) (ho_6642 y z)))) (= x y))))) (let ((_let_7260 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_4548 v ii) (ite (= i ii) e (ho_4548 u ii)))))))))) (let ((_let_7261 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_4548 x z) (ho_4548 y z)))) (= x y))))) (let ((_let_7262 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10511 v ii) (ite (= i ii) e (ho_10511 u ii)))))))))) (let ((_let_7263 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10511 x z) (ho_10511 y z)))) (= x y))))) (let ((_let_7264 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|) (e tptp.set_Pr4607231638325966922it_rat) (i |u_(-> tptp.product_unit tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_15422 v ii) (ite (= i ii) e (ho_15422 u ii)))))))))) (let ((_let_7265 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.set_Pr4607231638325966922it_rat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_rat)|)) (= (ho_15422 x z) (ho_15422 y z)))) (= x y))))) (let ((_let_7266 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10997 v ii) (ite (= i ii) e (ho_10997 u ii)))))))))) (let ((_let_7267 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10997 x z) (ho_10997 y z)))) (= x y))))) (let ((_let_7268 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|) (e |u_(-> _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13688 v ii) (ite (= i ii) e (ho_13688 u ii)))))))))) (let ((_let_7269 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.char tptp.char Bool)_ tptp.char tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13688 x z) (ho_13688 y z)))) (= x y))))) (let ((_let_7270 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6839 v ii) (ite (= i ii) e (ho_6839 u ii)))))))))) (let ((_let_7271 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6839 x z) (ho_6839 y z)))) (= x y))))) (let ((_let_7272 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (= (ho_12110 v ii) (ite (= i ii) e (ho_12110 u ii)))))))))) (let ((_let_7273 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.num)|)) (= (ho_12110 x z) (ho_12110 y z)))) (= x y))))) (let ((_let_7274 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4559 v ii) (ite (= i ii) e (ho_4559 u ii)))))))))) (let ((_let_7275 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4559 x z) (ho_4559 y z)))) (= x y))))) (let ((_let_7276 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_6782 v ii) (ite (= i ii) e (ho_6782 u ii)))))))))) (let ((_let_7277 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_6782 x z) (ho_6782 y z)))) (= x y))))) (let ((_let_7278 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (e |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_12357 v ii) (ite (= i ii) e (ho_12357 u ii)))))))))) (let ((_let_7279 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.product_prod_nat_num tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_12357 x z) (ho_12357 y z)))) (= x y))))) (let ((_let_7280 (forall ((u |u_(-> tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5663 v ii) (ite (= i ii) e (ho_5663 u ii)))))))))) (let ((_let_7281 (forall ((x |u_(-> tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5663 x z) (ho_5663 y z)))) (= x y))))) (let ((_let_7282 (forall ((u |u_(-> tptp.nat tptp.list_nat)|) (e tptp.list_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.list_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6683 v ii) (ite (= i ii) e (ho_6683 u ii)))))))))) (let ((_let_7283 (forall ((x |u_(-> tptp.nat tptp.list_nat)|) (y |u_(-> tptp.nat tptp.list_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6683 x z) (ho_6683 y z)))) (= x y))))) (let ((_let_7284 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6864 v ii) (ite (= i ii) e (ho_6864 u ii)))))))))) (let ((_let_7285 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6864 x z) (ho_6864 y z)))) (= x y))))) (let ((_let_7286 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4549 v ii) (ite (= i ii) e (ho_4549 u ii)))))))))) (let ((_let_7287 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4549 x z) (ho_4549 y z)))) (= x y))))) (let ((_let_7288 (forall ((u |u_(-> tptp.nat tptp.nat tptp.list_nat)|) (e |u_(-> tptp.nat tptp.list_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.list_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6682 v ii) (ite (= i ii) e (ho_6682 u ii)))))))))) (let ((_let_7289 (forall ((x |u_(-> tptp.nat tptp.nat tptp.list_nat)|) (y |u_(-> tptp.nat tptp.nat tptp.list_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6682 x z) (ho_6682 y z)))) (= x y))))) (let ((_let_7290 (forall ((u |u_(-> tptp.nat tptp.product_prod_num_o)|) (e tptp.product_prod_num_o) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_num_o)|)) (not (forall ((ii tptp.nat)) (= (ho_13302 v ii) (ite (= i ii) e (ho_13302 u ii)))))))))) (let ((_let_7291 (forall ((x |u_(-> tptp.nat tptp.product_prod_num_o)|) (y |u_(-> tptp.nat tptp.product_prod_num_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_13302 x z) (ho_13302 y z)))) (= x y))))) (let ((_let_7292 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9750 v ii) (ite (= i ii) e (ho_9750 u ii)))))))))) (let ((_let_7293 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9750 x z) (ho_9750 y z)))) (= x y))))) (let ((_let_7294 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_7279 v ii) (ite (= i ii) e (ho_7279 u ii)))))))))) (let ((_let_7295 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_7279 x z) (ho_7279 y z)))) (= x y))))) (let ((_let_7296 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_13202 v ii) (ite (= i ii) e (ho_13202 u ii)))))))))) (let ((_let_7297 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_13202 x z) (ho_13202 y z)))) (= x y))))) (let ((_let_7298 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4986 v ii) (ite (= i ii) e (ho_4986 u ii)))))))))) (let ((_let_7299 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4986 x z) (ho_4986 y z)))) (= x y))))) (let ((_let_7300 (forall ((u |u_(-> tptp.num tptp.int)|) (e tptp.int) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.int)|)) (not (forall ((ii tptp.num)) (= (ho_5419 v ii) (ite (= i ii) e (ho_5419 u ii)))))))))) (let ((_let_7301 (forall ((x |u_(-> tptp.num tptp.int)|) (y |u_(-> tptp.num tptp.int)|)) (or (not (forall ((z tptp.num)) (= (ho_5419 x z) (ho_5419 y z)))) (= x y))))) (let ((_let_7302 (forall ((u |u_(-> tptp.product_prod_int_int tptp.int)|) (e tptp.int) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_5531 v ii) (ite (= i ii) e (ho_5531 u ii)))))))))) (let ((_let_7303 (forall ((x |u_(-> tptp.product_prod_int_int tptp.int)|) (y |u_(-> tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_5531 x z) (ho_5531 y z)))) (= x y))))) (let ((_let_7304 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6934 v ii) (ite (= i ii) e (ho_6934 u ii)))))))))) (let ((_let_7305 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6934 x z) (ho_6934 y z)))) (= x y))))) (let ((_let_7306 (forall ((u |u_(-> tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|) (e tptp.set_Pr7010166363911110284_nat_o) (i tptp.set_se9180647916752606350_nat_o)) (not (forall ((v |u_(-> tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|)) (not (forall ((ii tptp.set_se9180647916752606350_nat_o)) (= (ho_6275 v ii) (ite (= i ii) e (ho_6275 u ii)))))))))) (let ((_let_7307 (forall ((x |u_(-> tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|) (y |u_(-> tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|)) (or (not (forall ((z tptp.set_se9180647916752606350_nat_o)) (= (ho_6275 x z) (ho_6275 y z)))) (= x y))))) (let ((_let_7308 (forall ((u |u_(-> Bool tptp.set_o)|) (e tptp.set_o) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_6018 v ii) (ite (= i ii) e (ho_6018 u ii)))))))))) (let ((_let_7309 (forall ((x |u_(-> Bool tptp.set_o)|) (y |u_(-> Bool tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_6018 x z) (ho_6018 y z)))) (= x y))))) (let ((_let_7310 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8247 v ii) (ite (= i ii) e (ho_8247 u ii)))))))))) (let ((_let_7311 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8247 x z) (ho_8247 y z)))) (= x y))))) (let ((_let_7312 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7455 v ii) (ite (= i ii) e (ho_7455 u ii)))))))))) (let ((_let_7313 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7455 x z) (ho_7455 y z)))) (= x y))))) (let ((_let_7314 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)_ tptp.set_nat_nat tptp.set_int_nat)|) (e |u_(-> tptp.set_nat_nat tptp.set_int_nat)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)_ tptp.set_nat_nat tptp.set_int_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (= (ho_15833 v ii) (ite (= i ii) e (ho_15833 u ii)))))))))) (let ((_let_7315 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)_ tptp.set_nat_nat tptp.set_int_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)_ tptp.set_nat_nat tptp.set_int_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (= (ho_15833 x z) (ho_15833 y z)))) (= x y))))) (let ((_let_7316 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4980 v ii) (ite (= i ii) e (ho_4980 u ii)))))))))) (let ((_let_7317 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4980 x z) (ho_4980 y z)))) (= x y))))) (let ((_let_7318 (forall ((u |u_(-> Bool tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_5004 v ii) (ite (= i ii) e (ho_5004 u ii)))))))))) (let ((_let_7319 (forall ((x |u_(-> Bool tptp.nat Bool)|) (y |u_(-> Bool tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_5004 x z) (ho_5004 y z)))) (= x y))))) (let ((_let_7320 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_13981 v ii) (ite (= i ii) e (ho_13981 u ii)))))))))) (let ((_let_7321 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_13981 x z) (ho_13981 y z)))) (= x y))))) (let ((_let_7322 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9081 v ii) (ite (= i ii) e (ho_9081 u ii)))))))))) (let ((_let_7323 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9081 x z) (ho_9081 y z)))) (= x y))))) (let ((_let_7324 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_4543 v ii) (ite (= i ii) e (ho_4543 u ii)))))))))) (let ((_let_7325 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_4543 x z) (ho_4543 y z)))) (= x y))))) (let ((_let_7326 (forall ((u |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_6419 v ii) (ite (= i ii) e (ho_6419 u ii)))))))))) (let ((_let_7327 (forall ((x |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|) (y |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_6419 x z) (ho_6419 y z)))) (= x y))))) (let ((_let_7328 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_15837 v ii) (ite (= i ii) e (ho_15837 u ii)))))))))) (let ((_let_7329 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_15837 x z) (ho_15837 y z)))) (= x y))))) (let ((_let_7330 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|) (e tptp.set_Pr3448869479623346877nt_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15413 v ii) (ite (= i ii) e (ho_15413 u ii)))))))))) (let ((_let_7331 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr3448869479623346877nt_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15413 x z) (ho_15413 y z)))) (= x y))))) (let ((_let_7332 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12437 v ii) (ite (= i ii) e (ho_12437 u ii)))))))))) (let ((_let_7333 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12437 x z) (ho_12437 y z)))) (= x y))))) (let ((_let_7334 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16045 v ii) (ite (= i ii) e (ho_16045 u ii)))))))))) (let ((_let_7335 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16045 x z) (ho_16045 y z)))) (= x y))))) (let ((_let_7336 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9531 v ii) (ite (= i ii) e (ho_9531 u ii)))))))))) (let ((_let_7337 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9531 x z) (ho_9531 y z)))) (= x y))))) (let ((_let_7338 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5780 v ii) (ite (= i ii) e (ho_5780 u ii)))))))))) (let ((_let_7339 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5780 x z) (ho_5780 y z)))) (= x y))))) (let ((_let_7340 (forall ((u |u_(-> tptp.set_nat Bool)|) (e Bool) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5227 v ii) (ite (= i ii) e (ho_5227 u ii)))))))))) (let ((_let_7341 (forall ((x |u_(-> tptp.set_nat Bool)|) (y |u_(-> tptp.set_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5227 x z) (ho_5227 y z)))) (= x y))))) (let ((_let_7342 (forall ((u |u_(-> tptp.num tptp.code_integer)|) (e tptp.code_integer) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.code_integer)|)) (not (forall ((ii tptp.num)) (= (ho_5462 v ii) (ite (= i ii) e (ho_5462 u ii)))))))))) (let ((_let_7343 (forall ((x |u_(-> tptp.num tptp.code_integer)|) (y |u_(-> tptp.num tptp.code_integer)|)) (or (not (forall ((z tptp.num)) (= (ho_5462 x z) (ho_5462 y z)))) (= x y))))) (let ((_let_7344 (forall ((u |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_10778 v ii) (ite (= i ii) e (ho_10778 u ii)))))))))) (let ((_let_7345 (forall ((x |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|) (y |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_10778 x z) (ho_10778 y z)))) (= x y))))) (let ((_let_7346 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4574 v ii) (ite (= i ii) e (ho_4574 u ii)))))))))) (let ((_let_7347 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4574 x z) (ho_4574 y z)))) (= x y))))) (let ((_let_7348 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (i |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (= (ho_12504 v ii) (ite (= i ii) e (ho_12504 u ii)))))))))) (let ((_let_7349 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_o tptp.product_prod_o_o)|)) (= (ho_12504 x z) (ho_12504 y z)))) (= x y))))) (let ((_let_7350 (forall ((u |u_(-> tptp.nat tptp.char tptp.nat)|) (e |u_(-> tptp.char tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.char tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7208 v ii) (ite (= i ii) e (ho_7208 u ii)))))))))) (let ((_let_7351 (forall ((x |u_(-> tptp.nat tptp.char tptp.nat)|) (y |u_(-> tptp.nat tptp.char tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7208 x z) (ho_7208 y z)))) (= x y))))) (let ((_let_7352 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5710 v ii) (ite (= i ii) e (ho_5710 u ii)))))))))) (let ((_let_7353 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5710 x z) (ho_5710 y z)))) (= x y))))) (let ((_let_7354 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char tptp.set_int)|) (e |u_(-> tptp.set_char tptp.set_int)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13373 v ii) (ite (= i ii) e (ho_13373 u ii)))))))))) (let ((_let_7355 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char tptp.set_int)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ tptp.set_char tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13373 x z) (ho_13373 y z)))) (= x y))))) (let ((_let_7356 (forall ((u |u_(-> tptp.nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4555 v ii) (ite (= i ii) e (ho_4555 u ii)))))))))) (let ((_let_7357 (forall ((x |u_(-> tptp.nat Bool tptp.set_nat)|) (y |u_(-> tptp.nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4555 x z) (ho_4555 y z)))) (= x y))))) (let ((_let_7358 (forall ((u |u_(-> Bool tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_7874 v ii) (ite (= i ii) e (ho_7874 u ii)))))))))) (let ((_let_7359 (forall ((x |u_(-> Bool tptp.set_o tptp.nat Bool)|) (y |u_(-> Bool tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_7874 x z) (ho_7874 y z)))) (= x y))))) (let ((_let_7360 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (e |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12050 v ii) (ite (= i ii) e (ho_12050 u ii)))))))))) (let ((_let_7361 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12050 x z) (ho_12050 y z)))) (= x y))))) (let ((_let_7362 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5683 v ii) (ite (= i ii) e (ho_5683 u ii)))))))))) (let ((_let_7363 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5683 x z) (ho_5683 y z)))) (= x y))))) (let ((_let_7364 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)_ tptp.heap_Heap_a)|) (e tptp.heap_Heap_a) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)_ tptp.heap_Heap_a)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|)) (= (ho_12045 v ii) (ite (= i ii) e (ho_12045 u ii)))))))))) (let ((_let_7365 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)_ tptp.heap_Heap_a)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)_ tptp.heap_Heap_a)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a)|)) (= (ho_12045 x z) (ho_12045 y z)))) (= x y))))) (let ((_let_7366 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13004 v ii) (ite (= i ii) e (ho_13004 u ii)))))))))) (let ((_let_7367 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13004 x z) (ho_13004 y z)))) (= x y))))) (let ((_let_7368 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10949 v ii) (ite (= i ii) e (ho_10949 u ii)))))))))) (let ((_let_7369 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10949 x z) (ho_10949 y z)))) (= x y))))) (let ((_let_7370 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5426 v ii) (ite (= i ii) e (ho_5426 u ii)))))))))) (let ((_let_7371 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5426 x z) (ho_5426 y z)))) (= x y))))) (let ((_let_7372 (forall ((u |u_(-> tptp.set_set_int tptp.set_o)|) (e tptp.set_o) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_o)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_6196 v ii) (ite (= i ii) e (ho_6196 u ii)))))))))) (let ((_let_7373 (forall ((x |u_(-> tptp.set_set_int tptp.set_o)|) (y |u_(-> tptp.set_set_int tptp.set_o)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_6196 x z) (ho_6196 y z)))) (= x y))))) (let ((_let_7374 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_5117 v ii) (ite (= i ii) e (ho_5117 u ii)))))))))) (let ((_let_7375 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_5117 x z) (ho_5117 y z)))) (= x y))))) (let ((_let_7376 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4553 v ii) (ite (= i ii) e (ho_4553 u ii)))))))))) (let ((_let_7377 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4553 x z) (ho_4553 y z)))) (= x y))))) (let ((_let_7378 (forall ((u |u_(-> tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5287 v ii) (ite (= i ii) e (ho_5287 u ii)))))))))) (let ((_let_7379 (forall ((x |u_(-> tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5287 x z) (ho_5287 y z)))) (= x y))))) (let ((_let_7380 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (e tptp.produc5288414631154139675_ref_a) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16044 v ii) (ite (= i ii) e (ho_16044 u ii)))))))))) (let ((_let_7381 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc5288414631154139675_ref_a)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16044 x z) (ho_16044 y z)))) (= x y))))) (let ((_let_7382 (forall ((u |u_(-> tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.produc3969062480670737046t_unit)) (not (forall ((v |u_(-> tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|)) (not (forall ((ii tptp.produc3969062480670737046t_unit)) (= (ho_12493 v ii) (ite (= i ii) e (ho_12493 u ii)))))))))) (let ((_let_7383 (forall ((x |u_(-> tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|) (y |u_(-> tptp.produc3969062480670737046t_unit tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.produc3969062480670737046t_unit)) (= (ho_12493 x z) (ho_12493 y z)))) (= x y))))) (let ((_let_7384 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12813 v ii) (ite (= i ii) e (ho_12813 u ii)))))))))) (let ((_let_7385 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_12813 x z) (ho_12813 y z)))) (= x y))))) (let ((_let_7386 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5727 v ii) (ite (= i ii) e (ho_5727 u ii)))))))))) (let ((_let_7387 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5727 x z) (ho_5727 y z)))) (= x y))))) (let ((_let_7388 (forall ((u |u_(-> tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|) (e tptp.set_se4826145725398303499at_num) (i tptp.set_Pr5908833319024110760_num_o)) (not (forall ((v |u_(-> tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|)) (not (forall ((ii tptp.set_Pr5908833319024110760_num_o)) (= (ho_8997 v ii) (ite (= i ii) e (ho_8997 u ii)))))))))) (let ((_let_7389 (forall ((x |u_(-> tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|) (y |u_(-> tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|)) (or (not (forall ((z tptp.set_Pr5908833319024110760_num_o)) (= (ho_8997 x z) (ho_8997 y z)))) (= x y))))) (let ((_let_7390 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_10205 v ii) (ite (= i ii) e (ho_10205 u ii)))))))))) (let ((_let_7391 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_10205 x z) (ho_10205 y z)))) (= x y))))) (let ((_let_7392 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_7588 v ii) (ite (= i ii) e (ho_7588 u ii)))))))))) (let ((_let_7393 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_7588 x z) (ho_7588 y z)))) (= x y))))) (let ((_let_7394 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (= (ho_9114 v ii) (ite (= i ii) e (ho_9114 u ii)))))))))) (let ((_let_7395 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (= (ho_9114 x z) (ho_9114 y z)))) (= x y))))) (let ((_let_7396 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5042 v ii) (ite (= i ii) e (ho_5042 u ii)))))))))) (let ((_let_7397 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5042 x z) (ho_5042 y z)))) (= x y))))) (let ((_let_7398 (forall ((u |u_(-> tptp.num tptp.option_num)|) (e tptp.option_num) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.option_num)|)) (not (forall ((ii tptp.num)) (= (ho_4527 v ii) (ite (= i ii) e (ho_4527 u ii)))))))))) (let ((_let_7399 (forall ((x |u_(-> tptp.num tptp.option_num)|) (y |u_(-> tptp.num tptp.option_num)|)) (or (not (forall ((z tptp.num)) (= (ho_4527 x z) (ho_4527 y z)))) (= x y))))) (let ((_let_7400 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5641 v ii) (ite (= i ii) e (ho_5641 u ii)))))))))) (let ((_let_7401 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5641 x z) (ho_5641 y z)))) (= x y))))) (let ((_let_7402 (forall ((u |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|) (e tptp.set_Code_integer) (i tptp.set_Co726186806682698383nteger)) (not (forall ((v |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (not (forall ((ii tptp.set_Co726186806682698383nteger)) (= (ho_15574 v ii) (ite (= i ii) e (ho_15574 u ii)))))))))) (let ((_let_7403 (forall ((x |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|) (y |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Code_integer)|)) (or (not (forall ((z tptp.set_Co726186806682698383nteger)) (= (ho_15574 x z) (ho_15574 y z)))) (= x y))))) (let ((_let_7404 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9725 v ii) (ite (= i ii) e (ho_9725 u ii)))))))))) (let ((_let_7405 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9725 x z) (ho_9725 y z)))) (= x y))))) (let ((_let_7406 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11413 v ii) (ite (= i ii) e (ho_11413 u ii)))))))))) (let ((_let_7407 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11413 x z) (ho_11413 y z)))) (= x y))))) (let ((_let_7408 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5018 v ii) (ite (= i ii) e (ho_5018 u ii)))))))))) (let ((_let_7409 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5018 x z) (ho_5018 y z)))) (= x y))))) (let ((_let_7410 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5629 v ii) (ite (= i ii) e (ho_5629 u ii)))))))))) (let ((_let_7411 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5629 x z) (ho_5629 y z)))) (= x y))))) (let ((_let_7412 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6077 v ii) (ite (= i ii) e (ho_6077 u ii)))))))))) (let ((_let_7413 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6077 x z) (ho_6077 y z)))) (= x y))))) (let ((_let_7414 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7815 v ii) (ite (= i ii) e (ho_7815 u ii)))))))))) (let ((_let_7415 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7815 x z) (ho_7815 y z)))) (= x y))))) (let ((_let_7416 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_11362 v ii) (ite (= i ii) e (ho_11362 u ii)))))))))) (let ((_let_7417 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.int Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_11362 x z) (ho_11362 y z)))) (= x y))))) (let ((_let_7418 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_4606 v ii) (ite (= i ii) e (ho_4606 u ii)))))))))) (let ((_let_7419 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_4606 x z) (ho_4606 y z)))) (= x y))))) (let ((_let_7420 (forall ((u |u_(-> tptp.product_unit tptp.char tptp.product_unit)|) (e |u_(-> tptp.char tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.char tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7235 v ii) (ite (= i ii) e (ho_7235 u ii)))))))))) (let ((_let_7421 (forall ((x |u_(-> tptp.product_unit tptp.char tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.char tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7235 x z) (ho_7235 y z)))) (= x y))))) (let ((_let_7422 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ tptp.rat Bool)|) (e |u_(-> tptp.rat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ tptp.rat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_7183 v ii) (ite (= i ii) e (ho_7183 u ii)))))))))) (let ((_let_7423 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ tptp.rat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ tptp.rat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_7183 x z) (ho_7183 y z)))) (= x y))))) (let ((_let_7424 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o tptp.set_rat)|) (e |u_(-> tptp.set_o tptp.set_rat)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o tptp.set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_7179 v ii) (ite (= i ii) e (ho_7179 u ii)))))))))) (let ((_let_7425 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o tptp.set_rat)|) (y |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o tptp.set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_7179 x z) (ho_7179 y z)))) (= x y))))) (let ((_let_7426 (forall ((u |u_(-> tptp.set_int tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_4894 v ii) (ite (= i ii) e (ho_4894 u ii)))))))))) (let ((_let_7427 (forall ((x |u_(-> tptp.set_int tptp.set_nat)|) (y |u_(-> tptp.set_int tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4894 x z) (ho_4894 y z)))) (= x y))))) (let ((_let_7428 (forall ((u |u_(-> tptp.int Bool)|) (e Bool) (i tptp.int)) (not (forall ((v |u_(-> tptp.int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5218 v ii) (ite (= i ii) e (ho_5218 u ii)))))))))) (let ((_let_7429 (forall ((x |u_(-> tptp.int Bool)|) (y |u_(-> tptp.int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5218 x z) (ho_5218 y z)))) (= x y))))) (let ((_let_7430 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5961 v ii) (ite (= i ii) e (ho_5961 u ii)))))))))) (let ((_let_7431 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5961 x z) (ho_5961 y z)))) (= x y))))) (let ((_let_7432 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14069 v ii) (ite (= i ii) e (ho_14069 u ii)))))))))) (let ((_let_7433 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14069 x z) (ho_14069 y z)))) (= x y))))) (let ((_let_7434 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|) (e tptp.set_ref_a) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_12349 v ii) (ite (= i ii) e (ho_12349 u ii)))))))))) (let ((_let_7435 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_ref_a)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_12349 x z) (ho_12349 y z)))) (= x y))))) (let ((_let_7436 (forall ((u |u_(-> tptp.num tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((ii tptp.num)) (= (ho_6623 v ii) (ite (= i ii) e (ho_6623 u ii)))))))))) (let ((_let_7437 (forall ((x |u_(-> tptp.num tptp.num Bool)|) (y |u_(-> tptp.num tptp.num Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_6623 x z) (ho_6623 y z)))) (= x y))))) (let ((_let_7438 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9497 v ii) (ite (= i ii) e (ho_9497 u ii)))))))))) (let ((_let_7439 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9497 x z) (ho_9497 y z)))) (= x y))))) (let ((_let_7440 (forall ((u |u_(-> Bool tptp.code_integer)|) (e tptp.code_integer) (i Bool)) (not (forall ((v |u_(-> Bool tptp.code_integer)|)) (not (forall ((ii Bool)) (= (ho_15365 v ii) (ite (= i ii) e (ho_15365 u ii)))))))))) (let ((_let_7441 (forall ((x |u_(-> Bool tptp.code_integer)|) (y |u_(-> Bool tptp.code_integer)|)) (or (not (forall ((z Bool)) (= (ho_15365 x z) (ho_15365 y z)))) (= x y))))) (let ((_let_7442 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7443 v ii) (ite (= i ii) e (ho_7443 u ii)))))))))) (let ((_let_7443 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7443 x z) (ho_7443 y z)))) (= x y))))) (let ((_let_7444 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5162 v ii) (ite (= i ii) e (ho_5162 u ii)))))))))) (let ((_let_7445 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5162 x z) (ho_5162 y z)))) (= x y))))) (let ((_let_7446 (forall ((u |u_(-> tptp.product_prod_int_o tptp.set_Pr903927857289325719_int_o Bool)|) (e |u_(-> tptp.set_Pr903927857289325719_int_o Bool)|) (i tptp.product_prod_int_o)) (not (forall ((v |u_(-> tptp.product_prod_int_o tptp.set_Pr903927857289325719_int_o Bool)|)) (not (forall ((ii tptp.product_prod_int_o)) (= (ho_14565 v ii) (ite (= i ii) e (ho_14565 u ii)))))))))) (let ((_let_7447 (forall ((x |u_(-> tptp.product_prod_int_o tptp.set_Pr903927857289325719_int_o Bool)|) (y |u_(-> tptp.product_prod_int_o tptp.set_Pr903927857289325719_int_o Bool)|)) (or (not (forall ((z tptp.product_prod_int_o)) (= (ho_14565 x z) (ho_14565 y z)))) (= x y))))) (let ((_let_7448 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_6793 v ii) (ite (= i ii) e (ho_6793 u ii)))))))))) (let ((_let_7449 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_6793 x z) (ho_6793 y z)))) (= x y))))) (let ((_let_7450 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_14579 v ii) (ite (= i ii) e (ho_14579 u ii)))))))))) (let ((_let_7451 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.int)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_14579 x z) (ho_14579 y z)))) (= x y))))) (let ((_let_7452 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_4493 v ii) (ite (= i ii) e (ho_4493 u ii)))))))))) (let ((_let_7453 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_4493 x z) (ho_4493 y z)))) (= x y))))) (let ((_let_7454 (forall ((u |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4974 v ii) (ite (= i ii) e (ho_4974 u ii)))))))))) (let ((_let_7455 (forall ((x |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4974 x z) (ho_4974 y z)))) (= x y))))) (let ((_let_7456 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14040 v ii) (ite (= i ii) e (ho_14040 u ii)))))))))) (let ((_let_7457 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_14040 x z) (ho_14040 y z)))) (= x y))))) (let ((_let_7458 (forall ((u |u_(-> _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (e |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (i |u_(-> tptp.num tptp.option_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.option_num)|)) (= (ho_4837 v ii) (ite (= i ii) e (ho_4837 u ii)))))))))) (let ((_let_7459 (forall ((x |u_(-> _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (y |u_(-> _u_(-> tptp.num tptp.option_num)_ _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.option_num)|)) (= (ho_4837 x z) (ho_4837 y z)))) (= x y))))) (let ((_let_7460 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|) (e tptp.set_Pr5094982260447487303t_unit) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_14867 v ii) (ite (= i ii) e (ho_14867 u ii)))))))))) (let ((_let_7461 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_14867 x z) (ho_14867 y z)))) (= x y))))) (let ((_let_7462 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_13118 v ii) (ite (= i ii) e (ho_13118 u ii)))))))))) (let ((_let_7463 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (= (ho_13118 x z) (ho_13118 y z)))) (= x y))))) (let ((_let_7464 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (e |u_(-> tptp.product_unit Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12123 v ii) (ite (= i ii) e (ho_12123 u ii)))))))))) (let ((_let_7465 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12123 x z) (ho_12123 y z)))) (= x y))))) (let ((_let_7466 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11737 v ii) (ite (= i ii) e (ho_11737 u ii)))))))))) (let ((_let_7467 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_11737 x z) (ho_11737 y z)))) (= x y))))) (let ((_let_7468 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.int tptp.int tptp.product_prod_int_int)|) (e |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.int tptp.int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_11976 v ii) (ite (= i ii) e (ho_11976 u ii)))))))))) (let ((_let_7469 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.int tptp.int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.int tptp.int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_11976 x z) (ho_11976 y z)))) (= x y))))) (let ((_let_7470 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_5521 v ii) (ite (= i ii) e (ho_5521 u ii)))))))))) (let ((_let_7471 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_5521 x z) (ho_5521 y z)))) (= x y))))) (let ((_let_7472 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4971 v ii) (ite (= i ii) e (ho_4971 u ii)))))))))) (let ((_let_7473 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4971 x z) (ho_4971 y z)))) (= x y))))) (let ((_let_7474 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7705 v ii) (ite (= i ii) e (ho_7705 u ii)))))))))) (let ((_let_7475 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7705 x z) (ho_7705 y z)))) (= x y))))) (let ((_let_7476 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_o tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5788 v ii) (ite (= i ii) e (ho_5788 u ii)))))))))) (let ((_let_7477 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5788 x z) (ho_5788 y z)))) (= x y))))) (let ((_let_7478 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_8400 v ii) (ite (= i ii) e (ho_8400 u ii)))))))))) (let ((_let_7479 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_8400 x z) (ho_8400 y z)))) (= x y))))) (let ((_let_7480 (forall ((u |u_(-> Bool tptp.product_unit)|) (e tptp.product_unit) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_unit)|)) (not (forall ((ii Bool)) (= (ho_6908 v ii) (ite (= i ii) e (ho_6908 u ii)))))))))) (let ((_let_7481 (forall ((x |u_(-> Bool tptp.product_unit)|) (y |u_(-> Bool tptp.product_unit)|)) (or (not (forall ((z Bool)) (= (ho_6908 x z) (ho_6908 y z)))) (= x y))))) (let ((_let_7482 (forall ((u |u_(-> tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4627 v ii) (ite (= i ii) e (ho_4627 u ii)))))))))) (let ((_let_7483 (forall ((x |u_(-> tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4627 x z) (ho_4627 y z)))) (= x y))))) (let ((_let_7484 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5623 v ii) (ite (= i ii) e (ho_5623 u ii)))))))))) (let ((_let_7485 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5623 x z) (ho_5623 y z)))) (= x y))))) (let ((_let_7486 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_10145 v ii) (ite (= i ii) e (ho_10145 u ii)))))))))) (let ((_let_7487 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_10145 x z) (ho_10145 y z)))) (= x y))))) (let ((_let_7488 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5766 v ii) (ite (= i ii) e (ho_5766 u ii)))))))))) (let ((_let_7489 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5766 x z) (ho_5766 y z)))) (= x y))))) (let ((_let_7490 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6910 v ii) (ite (= i ii) e (ho_6910 u ii)))))))))) (let ((_let_7491 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6910 x z) (ho_6910 y z)))) (= x y))))) (let ((_let_7492 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5707 v ii) (ite (= i ii) e (ho_5707 u ii)))))))))) (let ((_let_7493 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5707 x z) (ho_5707 y z)))) (= x y))))) (let ((_let_7494 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (= (ho_10761 v ii) (ite (= i ii) e (ho_10761 u ii)))))))))) (let ((_let_7495 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (= (ho_10761 x z) (ho_10761 y z)))) (= x y))))) (let ((_let_7496 (forall ((u |u_(-> tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.code_integer Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((ii tptp.int)) (= (ho_6484 v ii) (ite (= i ii) e (ho_6484 u ii)))))))))) (let ((_let_7497 (forall ((x |u_(-> tptp.int tptp.code_integer Bool)|) (y |u_(-> tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_6484 x z) (ho_6484 y z)))) (= x y))))) (let ((_let_7498 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5654 v ii) (ite (= i ii) e (ho_5654 u ii)))))))))) (let ((_let_7499 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5654 x z) (ho_5654 y z)))) (= x y))))) (let ((_let_7500 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8612 v ii) (ite (= i ii) e (ho_8612 u ii)))))))))) (let ((_let_7501 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8612 x z) (ho_8612 y z)))) (= x y))))) (let ((_let_7502 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_5603 v ii) (ite (= i ii) e (ho_5603 u ii)))))))))) (let ((_let_7503 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_5603 x z) (ho_5603 y z)))) (= x y))))) (let ((_let_7504 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_4500 v ii) (ite (= i ii) e (ho_4500 u ii)))))))))) (let ((_let_7505 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_4500 x z) (ho_4500 y z)))) (= x y))))) (let ((_let_7506 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_15055 v ii) (ite (= i ii) e (ho_15055 u ii)))))))))) (let ((_let_7507 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_15055 x z) (ho_15055 y z)))) (= x y))))) (let ((_let_7508 (forall ((u |u_(-> tptp.produc8923325533196201883nteger tptp.nat)|) (e tptp.nat) (i tptp.produc8923325533196201883nteger)) (not (forall ((v |u_(-> tptp.produc8923325533196201883nteger tptp.nat)|)) (not (forall ((ii tptp.produc8923325533196201883nteger)) (= (ho_6679 v ii) (ite (= i ii) e (ho_6679 u ii)))))))))) (let ((_let_7509 (forall ((x |u_(-> tptp.produc8923325533196201883nteger tptp.nat)|) (y |u_(-> tptp.produc8923325533196201883nteger tptp.nat)|)) (or (not (forall ((z tptp.produc8923325533196201883nteger)) (= (ho_6679 x z) (ho_6679 y z)))) (= x y))))) (let ((_let_7510 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7844 v ii) (ite (= i ii) e (ho_7844 u ii)))))))))) (let ((_let_7511 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_7844 x z) (ho_7844 y z)))) (= x y))))) (let ((_let_7512 (forall ((u |u_(-> tptp.code_integer tptp.code_integer)|) (e tptp.code_integer) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5399 v ii) (ite (= i ii) e (ho_5399 u ii)))))))))) (let ((_let_7513 (forall ((x |u_(-> tptp.code_integer tptp.code_integer)|) (y |u_(-> tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5399 x z) (ho_5399 y z)))) (= x y))))) (let ((_let_7514 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6859 v ii) (ite (= i ii) e (ho_6859 u ii)))))))))) (let ((_let_7515 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6859 x z) (ho_6859 y z)))) (= x y))))) (let ((_let_7516 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_16043 v ii) (ite (= i ii) e (ho_16043 u ii)))))))))) (let ((_let_7517 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|) (y |u_(-> tptp.product_prod_num_nat tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_16043 x z) (ho_16043 y z)))) (= x y))))) (let ((_let_7518 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_10111 v ii) (ite (= i ii) e (ho_10111 u ii)))))))))) (let ((_let_7519 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_10111 x z) (ho_10111 y z)))) (= x y))))) (let ((_let_7520 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10433 v ii) (ite (= i ii) e (ho_10433 u ii)))))))))) (let ((_let_7521 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10433 x z) (ho_10433 y z)))) (= x y))))) (let ((_let_7522 (forall ((u |u_(-> tptp.rat tptp.set_nat)|) (e tptp.set_nat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.set_nat)|)) (not (forall ((ii tptp.rat)) (= (ho_6358 v ii) (ite (= i ii) e (ho_6358 u ii)))))))))) (let ((_let_7523 (forall ((x |u_(-> tptp.rat tptp.set_nat)|) (y |u_(-> tptp.rat tptp.set_nat)|)) (or (not (forall ((z tptp.rat)) (= (ho_6358 x z) (ho_6358 y z)))) (= x y))))) (let ((_let_7524 (forall ((u |u_(-> tptp.product_unit tptp.set_nat)|) (e tptp.set_nat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4639 v ii) (ite (= i ii) e (ho_4639 u ii)))))))))) (let ((_let_7525 (forall ((x |u_(-> tptp.product_unit tptp.set_nat)|) (y |u_(-> tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4639 x z) (ho_4639 y z)))) (= x y))))) (let ((_let_7526 (forall ((u |u_(-> tptp.nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4657 v ii) (ite (= i ii) e (ho_4657 u ii)))))))))) (let ((_let_7527 (forall ((x |u_(-> tptp.nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4657 x z) (ho_4657 y z)))) (= x y))))) (let ((_let_7528 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4532 v ii) (ite (= i ii) e (ho_4532 u ii)))))))))) (let ((_let_7529 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4532 x z) (ho_4532 y z)))) (= x y))))) (let ((_let_7530 (forall ((u |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5717 v ii) (ite (= i ii) e (ho_5717 u ii)))))))))) (let ((_let_7531 (forall ((x |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5717 x z) (ho_5717 y z)))) (= x y))))) (let ((_let_7532 (forall ((u |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (e |u_(-> tptp.int tptp.product_prod_int_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (not (forall ((ii tptp.int)) (= (ho_4603 v ii) (ite (= i ii) e (ho_4603 u ii)))))))))) (let ((_let_7533 (forall ((x |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (y |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.int)) (= (ho_4603 x z) (ho_4603 y z)))) (= x y))))) (let ((_let_7534 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5115 v ii) (ite (= i ii) e (ho_5115 u ii)))))))))) (let ((_let_7535 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5115 x z) (ho_5115 y z)))) (= x y))))) (let ((_let_7536 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12941 v ii) (ite (= i ii) e (ho_12941 u ii)))))))))) (let ((_let_7537 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12941 x z) (ho_12941 y z)))) (= x y))))) (let ((_let_7538 (forall ((u |u_(-> tptp.set_o Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_5234 v ii) (ite (= i ii) e (ho_5234 u ii)))))))))) (let ((_let_7539 (forall ((x |u_(-> tptp.set_o Bool Bool)|) (y |u_(-> tptp.set_o Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5234 x z) (ho_5234 y z)))) (= x y))))) (let ((_let_7540 (forall ((u |u_(-> Bool tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((ii Bool)) (= (ho_6101 v ii) (ite (= i ii) e (ho_6101 u ii)))))))))) (let ((_let_7541 (forall ((x |u_(-> Bool tptp.set_Product_unit)|) (y |u_(-> Bool tptp.set_Product_unit)|)) (or (not (forall ((z Bool)) (= (ho_6101 x z) (ho_6101 y z)))) (= x y))))) (let ((_let_7542 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10069 v ii) (ite (= i ii) e (ho_10069 u ii)))))))))) (let ((_let_7543 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10069 x z) (ho_10069 y z)))) (= x y))))) (let ((_let_7544 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4491 v ii) (ite (= i ii) e (ho_4491 u ii)))))))))) (let ((_let_7545 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4491 x z) (ho_4491 y z)))) (= x y))))) (let ((_let_7546 (forall ((u |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer tptp.code_integer)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5398 v ii) (ite (= i ii) e (ho_5398 u ii)))))))))) (let ((_let_7547 (forall ((x |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5398 x z) (ho_5398 y z)))) (= x y))))) (let ((_let_7548 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_14767 v ii) (ite (= i ii) e (ho_14767 u ii)))))))))) (let ((_let_7549 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_14767 x z) (ho_14767 y z)))) (= x y))))) (let ((_let_7550 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_5545 v ii) (ite (= i ii) e (ho_5545 u ii)))))))))) (let ((_let_7551 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_5545 x z) (ho_5545 y z)))) (= x y))))) (let ((_let_7552 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7749 v ii) (ite (= i ii) e (ho_7749 u ii)))))))))) (let ((_let_7553 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7749 x z) (ho_7749 y z)))) (= x y))))) (let ((_let_7554 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i |u_(-> tptp.product_prod_nat_num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_8994 v ii) (ite (= i ii) e (ho_8994 u ii)))))))))) (let ((_let_7555 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num Bool)|)) (= (ho_8994 x z) (ho_8994 y z)))) (= x y))))) (let ((_let_7556 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_char)|) (e tptp.set_char) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_char)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7242 v ii) (ite (= i ii) e (ho_7242 u ii)))))))))) (let ((_let_7557 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_char)|) (y |u_(-> tptp.set_Product_unit tptp.set_char)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7242 x z) (ho_7242 y z)))) (= x y))))) (let ((_let_7558 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (= (ho_14228 v ii) (ite (= i ii) e (ho_14228 u ii)))))))))) (let ((_let_7559 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (= (ho_14228 x z) (ho_14228 y z)))) (= x y))))) (let ((_let_7560 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5924 v ii) (ite (= i ii) e (ho_5924 u ii)))))))))) (let ((_let_7561 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5924 x z) (ho_5924 y z)))) (= x y))))) (let ((_let_7562 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15784 v ii) (ite (= i ii) e (ho_15784 u ii)))))))))) (let ((_let_7563 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15784 x z) (ho_15784 y z)))) (= x y))))) (let ((_let_7564 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12696 v ii) (ite (= i ii) e (ho_12696 u ii)))))))))) (let ((_let_7565 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_12696 x z) (ho_12696 y z)))) (= x y))))) (let ((_let_7566 (forall ((u |u_(-> tptp.product_prod_nat_nat Bool)|) (e Bool) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4575 v ii) (ite (= i ii) e (ho_4575 u ii)))))))))) (let ((_let_7567 (forall ((x |u_(-> tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4575 x z) (ho_4575 y z)))) (= x y))))) (let ((_let_7568 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_8550 v ii) (ite (= i ii) e (ho_8550 u ii)))))))))) (let ((_let_7569 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8550 x z) (ho_8550 y z)))) (= x y))))) (let ((_let_7570 (forall ((u |u_(-> tptp.ref_a tptp.produc1799199577659733785_ref_a)|) (e tptp.produc1799199577659733785_ref_a) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.produc1799199577659733785_ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_10655 v ii) (ite (= i ii) e (ho_10655 u ii)))))))))) (let ((_let_7571 (forall ((x |u_(-> tptp.ref_a tptp.produc1799199577659733785_ref_a)|) (y |u_(-> tptp.ref_a tptp.produc1799199577659733785_ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_10655 x z) (ho_10655 y z)))) (= x y))))) (let ((_let_7572 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4622 v ii) (ite (= i ii) e (ho_4622 u ii)))))))))) (let ((_let_7573 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4622 x z) (ho_4622 y z)))) (= x y))))) (let ((_let_7574 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8662 v ii) (ite (= i ii) e (ho_8662 u ii)))))))))) (let ((_let_7575 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8662 x z) (ho_8662 y z)))) (= x y))))) (let ((_let_7576 (forall ((u |u_(-> tptp.int tptp.set_int)|) (e tptp.set_int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int)|)) (not (forall ((ii tptp.int)) (= (ho_4896 v ii) (ite (= i ii) e (ho_4896 u ii)))))))))) (let ((_let_7577 (forall ((x |u_(-> tptp.int tptp.set_int)|) (y |u_(-> tptp.int tptp.set_int)|)) (or (not (forall ((z tptp.int)) (= (ho_4896 x z) (ho_4896 y z)))) (= x y))))) (let ((_let_7578 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8424 v ii) (ite (= i ii) e (ho_8424 u ii)))))))))) (let ((_let_7579 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8424 x z) (ho_8424 y z)))) (= x y))))) (let ((_let_7580 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5902 v ii) (ite (= i ii) e (ho_5902 u ii)))))))))) (let ((_let_7581 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_5902 x z) (ho_5902 y z)))) (= x y))))) (let ((_let_7582 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_16042 v ii) (ite (= i ii) e (ho_16042 u ii)))))))))) (let ((_let_7583 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_16042 x z) (ho_16042 y z)))) (= x y))))) (let ((_let_7584 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5815 v ii) (ite (= i ii) e (ho_5815 u ii)))))))))) (let ((_let_7585 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5815 x z) (ho_5815 y z)))) (= x y))))) (let ((_let_7586 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7760 v ii) (ite (= i ii) e (ho_7760 u ii)))))))))) (let ((_let_7587 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7760 x z) (ho_7760 y z)))) (= x y))))) (let ((_let_7588 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5529 v ii) (ite (= i ii) e (ho_5529 u ii)))))))))) (let ((_let_7589 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5529 x z) (ho_5529 y z)))) (= x y))))) (let ((_let_7590 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10793 v ii) (ite (= i ii) e (ho_10793 u ii)))))))))) (let ((_let_7591 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10793 x z) (ho_10793 y z)))) (= x y))))) (let ((_let_7592 (forall ((u |u_(-> tptp.nat tptp.num)|) (e tptp.num) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num)|)) (not (forall ((ii tptp.nat)) (= (ho_6671 v ii) (ite (= i ii) e (ho_6671 u ii)))))))))) (let ((_let_7593 (forall ((x |u_(-> tptp.nat tptp.num)|) (y |u_(-> tptp.nat tptp.num)|)) (or (not (forall ((z tptp.nat)) (= (ho_6671 x z) (ho_6671 y z)))) (= x y))))) (let ((_let_7594 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8278 v ii) (ite (= i ii) e (ho_8278 u ii)))))))))) (let ((_let_7595 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8278 x z) (ho_8278 y z)))) (= x y))))) (let ((_let_7596 (forall ((u |u_(-> Bool _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_10834 v ii) (ite (= i ii) e (ho_10834 u ii)))))))))) (let ((_let_7597 (forall ((x |u_(-> Bool _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> Bool _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_10834 x z) (ho_10834 y z)))) (= x y))))) (let ((_let_7598 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8577 v ii) (ite (= i ii) e (ho_8577 u ii)))))))))) (let ((_let_7599 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8577 x z) (ho_8577 y z)))) (= x y))))) (let ((_let_7600 (forall ((u |u_(-> tptp.produc652263959640188542_nat_o tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.produc652263959640188542_nat_o)) (not (forall ((v |u_(-> tptp.produc652263959640188542_nat_o tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.produc652263959640188542_nat_o)) (= (ho_14673 v ii) (ite (= i ii) e (ho_14673 u ii)))))))))) (let ((_let_7601 (forall ((x |u_(-> tptp.produc652263959640188542_nat_o tptp.product_prod_nat_nat)|) (y |u_(-> tptp.produc652263959640188542_nat_o tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.produc652263959640188542_nat_o)) (= (ho_14673 x z) (ho_14673 y z)))) (= x y))))) (let ((_let_7602 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10860 v ii) (ite (= i ii) e (ho_10860 u ii)))))))))) (let ((_let_7603 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10860 x z) (ho_10860 y z)))) (= x y))))) (let ((_let_7604 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5164 v ii) (ite (= i ii) e (ho_5164 u ii)))))))))) (let ((_let_7605 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5164 x z) (ho_5164 y z)))) (= x y))))) (let ((_let_7606 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> tptp.num tptp.num Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14699 v ii) (ite (= i ii) e (ho_14699 u ii)))))))))) (let ((_let_7607 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14699 x z) (ho_14699 y z)))) (= x y))))) (let ((_let_7608 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12499 v ii) (ite (= i ii) e (ho_12499 u ii)))))))))) (let ((_let_7609 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12499 x z) (ho_12499 y z)))) (= x y))))) (let ((_let_7610 (forall ((u |u_(-> tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8883 v ii) (ite (= i ii) e (ho_8883 u ii)))))))))) (let ((_let_7611 (forall ((x |u_(-> tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8883 x z) (ho_8883 y z)))) (= x y))))) (let ((_let_7612 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_11427 v ii) (ite (= i ii) e (ho_11427 u ii)))))))))) (let ((_let_7613 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_11427 x z) (ho_11427 y z)))) (= x y))))) (let ((_let_7614 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4504 v ii) (ite (= i ii) e (ho_4504 u ii)))))))))) (let ((_let_7615 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4504 x z) (ho_4504 y z)))) (= x y))))) (let ((_let_7616 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|) (e |u_(-> Bool Bool Bool)|) (i |u_(-> Bool tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_nat_nat)|)) (= (ho_6828 v ii) (ite (= i ii) e (ho_6828 u ii)))))))))) (let ((_let_7617 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.product_prod_nat_nat)_ Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_nat_nat)|)) (= (ho_6828 x z) (ho_6828 y z)))) (= x y))))) (let ((_let_7618 (forall ((u |u_(-> tptp.int tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((ii tptp.int)) (= (ho_4604 v ii) (ite (= i ii) e (ho_4604 u ii)))))))))) (let ((_let_7619 (forall ((x |u_(-> tptp.int tptp.product_prod_int_int)|) (y |u_(-> tptp.int tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.int)) (= (ho_4604 x z) (ho_4604 y z)))) (= x y))))) (let ((_let_7620 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_5121 v ii) (ite (= i ii) e (ho_5121 u ii)))))))))) (let ((_let_7621 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_5121 x z) (ho_5121 y z)))) (= x y))))) (let ((_let_7622 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_4999 v ii) (ite (= i ii) e (ho_4999 u ii)))))))))) (let ((_let_7623 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_4999 x z) (ho_4999 y z)))) (= x y))))) (let ((_let_7624 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_12816 v ii) (ite (= i ii) e (ho_12816 u ii)))))))))) (let ((_let_7625 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_12816 x z) (ho_12816 y z)))) (= x y))))) (let ((_let_7626 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7752 v ii) (ite (= i ii) e (ho_7752 u ii)))))))))) (let ((_let_7627 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7752 x z) (ho_7752 y z)))) (= x y))))) (let ((_let_7628 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13018 v ii) (ite (= i ii) e (ho_13018 u ii)))))))))) (let ((_let_7629 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13018 x z) (ho_13018 y z)))) (= x y))))) (let ((_let_7630 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5620 v ii) (ite (= i ii) e (ho_5620 u ii)))))))))) (let ((_let_7631 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5620 x z) (ho_5620 y z)))) (= x y))))) (let ((_let_7632 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4521 v ii) (ite (= i ii) e (ho_4521 u ii)))))))))) (let ((_let_7633 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4521 x z) (ho_4521 y z)))) (= x y))))) (let ((_let_7634 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7131 v ii) (ite (= i ii) e (ho_7131 u ii)))))))))) (let ((_let_7635 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7131 x z) (ho_7131 y z)))) (= x y))))) (let ((_let_7636 (forall ((u |u_(-> tptp.set_set_int tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.nat Bool)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_9234 v ii) (ite (= i ii) e (ho_9234 u ii)))))))))) (let ((_let_7637 (forall ((x |u_(-> tptp.set_set_int tptp.nat Bool)|) (y |u_(-> tptp.set_set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_9234 x z) (ho_9234 y z)))) (= x y))))) (let ((_let_7638 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_13109 v ii) (ite (= i ii) e (ho_13109 u ii)))))))))) (let ((_let_7639 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_13109 x z) (ho_13109 y z)))) (= x y))))) (let ((_let_7640 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5703 v ii) (ite (= i ii) e (ho_5703 u ii)))))))))) (let ((_let_7641 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5703 x z) (ho_5703 y z)))) (= x y))))) (let ((_let_7642 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7673 v ii) (ite (= i ii) e (ho_7673 u ii)))))))))) (let ((_let_7643 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7673 x z) (ho_7673 y z)))) (= x y))))) (let ((_let_7644 (forall ((u |u_(-> tptp.ref_a tptp.a tptp.heap_H6156071679106078628t_unit)|) (e |u_(-> tptp.a tptp.heap_H6156071679106078628t_unit)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.a tptp.heap_H6156071679106078628t_unit)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12118 v ii) (ite (= i ii) e (ho_12118 u ii)))))))))) (let ((_let_7645 (forall ((x |u_(-> tptp.ref_a tptp.a tptp.heap_H6156071679106078628t_unit)|) (y |u_(-> tptp.ref_a tptp.a tptp.heap_H6156071679106078628t_unit)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12118 x z) (ho_12118 y z)))) (= x y))))) (let ((_let_7646 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_8110 v ii) (ite (= i ii) e (ho_8110 u ii)))))))))) (let ((_let_7647 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_8110 x z) (ho_8110 y z)))) (= x y))))) (let ((_let_7648 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (= (ho_10855 v ii) (ite (= i ii) e (ho_10855 u ii)))))))))) (let ((_let_7649 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (= (ho_10855 x z) (ho_10855 y z)))) (= x y))))) (let ((_let_7650 (forall ((u |u_(-> tptp.product_unit Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4643 v ii) (ite (= i ii) e (ho_4643 u ii)))))))))) (let ((_let_7651 (forall ((x |u_(-> tptp.product_unit Bool tptp.set_nat)|) (y |u_(-> tptp.product_unit Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4643 x z) (ho_4643 y z)))) (= x y))))) (let ((_let_7652 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8355 v ii) (ite (= i ii) e (ho_8355 u ii)))))))))) (let ((_let_7653 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8355 x z) (ho_8355 y z)))) (= x y))))) (let ((_let_7654 (forall ((u |u_(-> tptp.product_prod_int_int tptp.nat)|) (e tptp.nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_6818 v ii) (ite (= i ii) e (ho_6818 u ii)))))))))) (let ((_let_7655 (forall ((x |u_(-> tptp.product_prod_int_int tptp.nat)|) (y |u_(-> tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_6818 x z) (ho_6818 y z)))) (= x y))))) (let ((_let_7656 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_6124 v ii) (ite (= i ii) e (ho_6124 u ii)))))))))) (let ((_let_7657 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_6124 x z) (ho_6124 y z)))) (= x y))))) (let ((_let_7658 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10711 v ii) (ite (= i ii) e (ho_10711 u ii)))))))))) (let ((_let_7659 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10711 x z) (ho_10711 y z)))) (= x y))))) (let ((_let_7660 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_11438 v ii) (ite (= i ii) e (ho_11438 u ii)))))))))) (let ((_let_7661 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_11438 x z) (ho_11438 y z)))) (= x y))))) (let ((_let_7662 (forall ((u |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_o)|) (e |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_o)|) (i |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|)) (= (ho_4903 v ii) (ite (= i ii) e (ho_4903 u ii)))))))))) (let ((_let_7663 (forall ((x |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_o)|) (y |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|)) (= (ho_4903 x z) (ho_4903 y z)))) (= x y))))) (let ((_let_7664 (forall ((u |u_(-> tptp.set_char tptp.product_unit tptp.set_char)|) (e |u_(-> tptp.product_unit tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.product_unit tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8831 v ii) (ite (= i ii) e (ho_8831 u ii)))))))))) (let ((_let_7665 (forall ((x |u_(-> tptp.set_char tptp.product_unit tptp.set_char)|) (y |u_(-> tptp.set_char tptp.product_unit tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8831 x z) (ho_8831 y z)))) (= x y))))) (let ((_let_7666 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (= (ho_14152 v ii) (ite (= i ii) e (ho_14152 u ii)))))))))) (let ((_let_7667 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (= (ho_14152 x z) (ho_14152 y z)))) (= x y))))) (let ((_let_7668 (forall ((u |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e tptp.produc8923325533196201883nteger) (i tptp.produc8923325533196201883nteger)) (not (forall ((v |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.produc8923325533196201883nteger)) (= (ho_5405 v ii) (ite (= i ii) e (ho_5405 u ii)))))))))) (let ((_let_7669 (forall ((x |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.produc8923325533196201883nteger)) (= (ho_5405 x z) (ho_5405 y z)))) (= x y))))) (let ((_let_7670 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_11732 v ii) (ite (= i ii) e (ho_11732 u ii)))))))))) (let ((_let_7671 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_11732 x z) (ho_11732 y z)))) (= x y))))) (let ((_let_7672 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_7009 v ii) (ite (= i ii) e (ho_7009 u ii)))))))))) (let ((_let_7673 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_7009 x z) (ho_7009 y z)))) (= x y))))) (let ((_let_7674 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8798 v ii) (ite (= i ii) e (ho_8798 u ii)))))))))) (let ((_let_7675 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_int tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8798 x z) (ho_8798 y z)))) (= x y))))) (let ((_let_7676 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (e |u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12198 v ii) (ite (= i ii) e (ho_12198 u ii)))))))))) (let ((_let_7677 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12198 x z) (ho_12198 y z)))) (= x y))))) (let ((_let_7678 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ tptp.set_o)_ tptp.set_o_o tptp.set_set_o)|) (e |u_(-> tptp.set_o_o tptp.set_set_o)|) (i |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ tptp.set_o)_ tptp.set_o_o tptp.set_set_o)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|)) (= (ho_6206 v ii) (ite (= i ii) e (ho_6206 u ii)))))))))) (let ((_let_7679 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ tptp.set_o)_ tptp.set_o_o tptp.set_set_o)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ tptp.set_o)_ tptp.set_o_o tptp.set_set_o)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ tptp.set_o)|)) (= (ho_6206 x z) (ho_6206 y z)))) (= x y))))) (let ((_let_7680 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5253 v ii) (ite (= i ii) e (ho_5253 u ii)))))))))) (let ((_let_7681 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5253 x z) (ho_5253 y z)))) (= x y))))) (let ((_let_7682 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4985 v ii) (ite (= i ii) e (ho_4985 u ii)))))))))) (let ((_let_7683 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4985 x z) (ho_4985 y z)))) (= x y))))) (let ((_let_7684 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_15374 v ii) (ite (= i ii) e (ho_15374 u ii)))))))))) (let ((_let_7685 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_15374 x z) (ho_15374 y z)))) (= x y))))) (let ((_let_7686 (forall ((u |u_(-> tptp.code_integer tptp.num)|) (e tptp.num) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5445 v ii) (ite (= i ii) e (ho_5445 u ii)))))))))) (let ((_let_7687 (forall ((x |u_(-> tptp.code_integer tptp.num)|) (y |u_(-> tptp.code_integer tptp.num)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5445 x z) (ho_5445 y z)))) (= x y))))) (let ((_let_7688 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|) (e |u_(-> tptp.num tptp.nat)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13723 v ii) (ite (= i ii) e (ho_13723 u ii)))))))))) (let ((_let_7689 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13723 x z) (ho_13723 y z)))) (= x y))))) (let ((_let_7690 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (e |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_8410 v ii) (ite (= i ii) e (ho_8410 u ii)))))))))) (let ((_let_7691 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_8410 x z) (ho_8410 y z)))) (= x y))))) (let ((_let_7692 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_int tptp.set_nat)|) (e |u_(-> tptp.set_int tptp.set_nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_4927 v ii) (ite (= i ii) e (ho_4927 u ii)))))))))) (let ((_let_7693 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_4927 x z) (ho_4927 y z)))) (= x y))))) (let ((_let_7694 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9753 v ii) (ite (= i ii) e (ho_9753 u ii)))))))))) (let ((_let_7695 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9753 x z) (ho_9753 y z)))) (= x y))))) (let ((_let_7696 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5715 v ii) (ite (= i ii) e (ho_5715 u ii)))))))))) (let ((_let_7697 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ Bool Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5715 x z) (ho_5715 y z)))) (= x y))))) (let ((_let_7698 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (e |u_(-> tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13407 v ii) (ite (= i ii) e (ho_13407 u ii)))))))))) (let ((_let_7699 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.produc143505574896075907r_char tptp.produc3922234789054302210ar_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13407 x z) (ho_13407 y z)))) (= x y))))) (let ((_let_7700 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10174 v ii) (ite (= i ii) e (ho_10174 u ii)))))))))) (let ((_let_7701 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10174 x z) (ho_10174 y z)))) (= x y))))) (let ((_let_7702 (forall ((u |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4517 v ii) (ite (= i ii) e (ho_4517 u ii)))))))))) (let ((_let_7703 (forall ((x |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4517 x z) (ho_4517 y z)))) (= x y))))) (let ((_let_7704 (forall ((u |u_(-> Bool Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool tptp.set_nat)|)) (not (forall ((ii Bool)) (= (ho_4638 v ii) (ite (= i ii) e (ho_4638 u ii)))))))))) (let ((_let_7705 (forall ((x |u_(-> Bool Bool tptp.set_nat)|) (y |u_(-> Bool Bool tptp.set_nat)|)) (or (not (forall ((z Bool)) (= (ho_4638 x z) (ho_4638 y z)))) (= x y))))) (let ((_let_7706 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1133966238863718811t_unit Bool)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit Bool)|) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1133966238863718811t_unit Bool)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_12343 v ii) (ite (= i ii) e (ho_12343 u ii)))))))))) (let ((_let_7707 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1133966238863718811t_unit Bool)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1133966238863718811t_unit Bool)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_12343 x z) (ho_12343 y z)))) (= x y))))) (let ((_let_7708 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5678 v ii) (ite (= i ii) e (ho_5678 u ii)))))))))) (let ((_let_7709 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5678 x z) (ho_5678 y z)))) (= x y))))) (let ((_let_7710 (forall ((u |u_(-> tptp.int tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_4950 v ii) (ite (= i ii) e (ho_4950 u ii)))))))))) (let ((_let_7711 (forall ((x |u_(-> tptp.int tptp.nat Bool)|) (y |u_(-> tptp.int tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_4950 x z) (ho_4950 y z)))) (= x y))))) (let ((_let_7712 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8413 v ii) (ite (= i ii) e (ho_8413 u ii)))))))))) (let ((_let_7713 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8413 x z) (ho_8413 y z)))) (= x y))))) (let ((_let_7714 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_5128 v ii) (ite (= i ii) e (ho_5128 u ii)))))))))) (let ((_let_7715 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_5128 x z) (ho_5128 y z)))) (= x y))))) (let ((_let_7716 (forall ((u |u_(-> Bool tptp.nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat tptp.nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_5459 v ii) (ite (= i ii) e (ho_5459 u ii)))))))))) (let ((_let_7717 (forall ((x |u_(-> Bool tptp.nat tptp.nat tptp.nat)|) (y |u_(-> Bool tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_5459 x z) (ho_5459 y z)))) (= x y))))) (let ((_let_7718 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13894 v ii) (ite (= i ii) e (ho_13894 u ii)))))))))) (let ((_let_7719 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13894 x z) (ho_13894 y z)))) (= x y))))) (let ((_let_7720 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10186 v ii) (ite (= i ii) e (ho_10186 u ii)))))))))) (let ((_let_7721 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10186 x z) (ho_10186 y z)))) (= x y))))) (let ((_let_7722 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7767 v ii) (ite (= i ii) e (ho_7767 u ii)))))))))) (let ((_let_7723 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7767 x z) (ho_7767 y z)))) (= x y))))) (let ((_let_7724 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (= (ho_12827 v ii) (ite (= i ii) e (ho_12827 u ii)))))))))) (let ((_let_7725 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool Bool)_ Bool)|)) (= (ho_12827 x z) (ho_12827 y z)))) (= x y))))) (let ((_let_7726 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (e |u_(-> tptp.set_o Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5739 v ii) (ite (= i ii) e (ho_5739 u ii)))))))))) (let ((_let_7727 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5739 x z) (ho_5739 y z)))) (= x y))))) (let ((_let_7728 (forall ((u |u_(-> tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|) (e tptp.set_se7592288975875140775at_nat) (i tptp.set_Pr7669914128964046860_nat_o)) (not (forall ((v |u_(-> tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|)) (not (forall ((ii tptp.set_Pr7669914128964046860_nat_o)) (= (ho_9018 v ii) (ite (= i ii) e (ho_9018 u ii)))))))))) (let ((_let_7729 (forall ((x |u_(-> tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|) (y |u_(-> tptp.set_Pr7669914128964046860_nat_o tptp.set_se7592288975875140775at_nat)|)) (or (not (forall ((z tptp.set_Pr7669914128964046860_nat_o)) (= (ho_9018 x z) (ho_9018 y z)))) (= x y))))) (let ((_let_7730 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_4882 v ii) (ite (= i ii) e (ho_4882 u ii)))))))))) (let ((_let_7731 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_4882 x z) (ho_4882 y z)))) (= x y))))) (let ((_let_7732 (forall ((u |u_(-> _u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|) (e |u_(-> tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|) (i |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|)) (not (forall ((ii |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_6274 v ii) (ite (= i ii) e (ho_6274 u ii)))))))))) (let ((_let_7733 (forall ((x |u_(-> _u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|) (y |u_(-> _u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se9180647916752606350_nat_o tptp.set_Pr7010166363911110284_nat_o)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_6274 x z) (ho_6274 y z)))) (= x y))))) (let ((_let_7734 (forall ((u |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5651 v ii) (ite (= i ii) e (ho_5651 u ii)))))))))) (let ((_let_7735 (forall ((x |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5651 x z) (ho_5651 y z)))) (= x y))))) (let ((_let_7736 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_o tptp.int)_ tptp.set_Pr903927857289325719_int_o tptp.set_int)|) (e |u_(-> tptp.set_Pr903927857289325719_int_o tptp.set_int)|) (i |u_(-> tptp.product_prod_int_o tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_o tptp.int)_ tptp.set_Pr903927857289325719_int_o tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_o tptp.int)|)) (= (ho_14986 v ii) (ite (= i ii) e (ho_14986 u ii)))))))))) (let ((_let_7737 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_o tptp.int)_ tptp.set_Pr903927857289325719_int_o tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_o tptp.int)_ tptp.set_Pr903927857289325719_int_o tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_o tptp.int)|)) (= (ho_14986 x z) (ho_14986 y z)))) (= x y))))) (let ((_let_7738 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5744 v ii) (ite (= i ii) e (ho_5744 u ii)))))))))) (let ((_let_7739 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5744 x z) (ho_5744 y z)))) (= x y))))) (let ((_let_7740 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_13855 v ii) (ite (= i ii) e (ho_13855 u ii)))))))))) (let ((_let_7741 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_13855 x z) (ho_13855 y z)))) (= x y))))) (let ((_let_7742 (forall ((u |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9529 v ii) (ite (= i ii) e (ho_9529 u ii)))))))))) (let ((_let_7743 (forall ((x |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (y |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9529 x z) (ho_9529 y z)))) (= x y))))) (let ((_let_7744 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_4857 v ii) (ite (= i ii) e (ho_4857 u ii)))))))))) (let ((_let_7745 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_4857 x z) (ho_4857 y z)))) (= x y))))) (let ((_let_7746 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_4945 v ii) (ite (= i ii) e (ho_4945 u ii)))))))))) (let ((_let_7747 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_4945 x z) (ho_4945 y z)))) (= x y))))) (let ((_let_7748 (forall ((u |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|) (e |u_(-> tptp.int tptp.product_prod_int_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.int)) (= (ho_10262 v ii) (ite (= i ii) e (ho_10262 u ii)))))))))) (let ((_let_7749 (forall ((x |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|) (y |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_10262 x z) (ho_10262 y z)))) (= x y))))) (let ((_let_7750 (forall ((u |u_(-> tptp.set_rat Bool)|) (e Bool) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat Bool)|)) (not (forall ((ii tptp.set_rat)) (= (ho_7175 v ii) (ite (= i ii) e (ho_7175 u ii)))))))))) (let ((_let_7751 (forall ((x |u_(-> tptp.set_rat Bool)|) (y |u_(-> tptp.set_rat Bool)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_7175 x z) (ho_7175 y z)))) (= x y))))) (let ((_let_7752 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_14703 v ii) (ite (= i ii) e (ho_14703 u ii)))))))))) (let ((_let_7753 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_14703 x z) (ho_14703 y z)))) (= x y))))) (let ((_let_7754 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (e Bool) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_4544 v ii) (ite (= i ii) e (ho_4544 u ii)))))))))) (let ((_let_7755 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_4544 x z) (ho_4544 y z)))) (= x y))))) (let ((_let_7756 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_7307 v ii) (ite (= i ii) e (ho_7307 u ii)))))))))) (let ((_let_7757 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_7307 x z) (ho_7307 y z)))) (= x y))))) (let ((_let_7758 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5645 v ii) (ite (= i ii) e (ho_5645 u ii)))))))))) (let ((_let_7759 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5645 x z) (ho_5645 y z)))) (= x y))))) (let ((_let_7760 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_4601 v ii) (ite (= i ii) e (ho_4601 u ii)))))))))) (let ((_let_7761 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_4601 x z) (ho_4601 y z)))) (= x y))))) (let ((_let_7762 (forall ((u |u_(-> tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_10506 v ii) (ite (= i ii) e (ho_10506 u ii)))))))))) (let ((_let_7763 (forall ((x |u_(-> tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10506 x z) (ho_10506 y z)))) (= x y))))) (let ((_let_7764 (forall ((u |u_(-> tptp.set_se6260736226359567993nt_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.set_se6260736226359567993nt_int)) (not (forall ((v |u_(-> tptp.set_se6260736226359567993nt_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_se6260736226359567993nt_int)) (= (ho_6253 v ii) (ite (= i ii) e (ho_6253 u ii)))))))))) (let ((_let_7765 (forall ((x |u_(-> tptp.set_se6260736226359567993nt_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_se6260736226359567993nt_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_se6260736226359567993nt_int)) (= (ho_6253 x z) (ho_6253 y z)))) (= x y))))) (let ((_let_7766 (forall ((u |u_(-> tptp.int _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.int)) (= (ho_8030 v ii) (ite (= i ii) e (ho_8030 u ii)))))))))) (let ((_let_7767 (forall ((x |u_(-> tptp.int _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.int _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_8030 x z) (ho_8030 y z)))) (= x y))))) (let ((_let_7768 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_5072 v ii) (ite (= i ii) e (ho_5072 u ii)))))))))) (let ((_let_7769 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_5072 x z) (ho_5072 y z)))) (= x y))))) (let ((_let_7770 (forall ((u |u_(-> tptp.char Bool)|) (e Bool) (i tptp.char)) (not (forall ((v |u_(-> tptp.char Bool)|)) (not (forall ((ii tptp.char)) (= (ho_7226 v ii) (ite (= i ii) e (ho_7226 u ii)))))))))) (let ((_let_7771 (forall ((x |u_(-> tptp.char Bool)|) (y |u_(-> tptp.char Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_7226 x z) (ho_7226 y z)))) (= x y))))) (let ((_let_7772 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|) (e |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11044 v ii) (ite (= i ii) e (ho_11044 u ii)))))))))) (let ((_let_7773 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.rat tptp.int)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11044 x z) (ho_11044 y z)))) (= x y))))) (let ((_let_7774 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.int)|) (e tptp.int) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.int)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_16041 v ii) (ite (= i ii) e (ho_16041 u ii)))))))))) (let ((_let_7775 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.int)|) (y |u_(-> tptp.product_prod_nat_num tptp.int)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_16041 x z) (ho_16041 y z)))) (= x y))))) (let ((_let_7776 (forall ((u |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5775 v ii) (ite (= i ii) e (ho_5775 u ii)))))))))) (let ((_let_7777 (forall ((x |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5775 x z) (ho_5775 y z)))) (= x y))))) (let ((_let_7778 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5660 v ii) (ite (= i ii) e (ho_5660 u ii)))))))))) (let ((_let_7779 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5660 x z) (ho_5660 y z)))) (= x y))))) (let ((_let_7780 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_5381 v ii) (ite (= i ii) e (ho_5381 u ii)))))))))) (let ((_let_7781 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_5381 x z) (ho_5381 y z)))) (= x y))))) (let ((_let_7782 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_5889 v ii) (ite (= i ii) e (ho_5889 u ii)))))))))) (let ((_let_7783 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_5889 x z) (ho_5889 y z)))) (= x y))))) (let ((_let_7784 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8472 v ii) (ite (= i ii) e (ho_8472 u ii)))))))))) (let ((_let_7785 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8472 x z) (ho_8472 y z)))) (= x y))))) (let ((_let_7786 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_15867 v ii) (ite (= i ii) e (ho_15867 u ii)))))))))) (let ((_let_7787 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_15867 x z) (ho_15867 y z)))) (= x y))))) (let ((_let_7788 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5746 v ii) (ite (= i ii) e (ho_5746 u ii)))))))))) (let ((_let_7789 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5746 x z) (ho_5746 y z)))) (= x y))))) (let ((_let_7790 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_o)|) (e tptp.product_prod_nat_o) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (not (forall ((ii tptp.nat)) (= (ho_16040 v ii) (ite (= i ii) e (ho_16040 u ii)))))))))) (let ((_let_7791 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_o)|) (y |u_(-> tptp.nat tptp.product_prod_nat_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_16040 x z) (ho_16040 y z)))) (= x y))))) (let ((_let_7792 (forall ((u |u_(-> tptp.set_char tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|) (e |u_(-> tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|)) (not (forall ((ii tptp.set_char)) (= (ho_15475 v ii) (ite (= i ii) e (ho_15475 u ii)))))))))) (let ((_let_7793 (forall ((x |u_(-> tptp.set_char tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|) (y |u_(-> tptp.set_char tptp.set_Product_unit tptp.set_ch7814610555394875923t_unit)|)) (or (not (forall ((z tptp.set_char)) (= (ho_15475 x z) (ho_15475 y z)))) (= x y))))) (let ((_let_7794 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5743 v ii) (ite (= i ii) e (ho_5743 u ii)))))))))) (let ((_let_7795 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5743 x z) (ho_5743 y z)))) (= x y))))) (let ((_let_7796 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4618 v ii) (ite (= i ii) e (ho_4618 u ii)))))))))) (let ((_let_7797 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_4618 x z) (ho_4618 y z)))) (= x y))))) (let ((_let_7798 (forall ((u |u_(-> tptp.int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5493 v ii) (ite (= i ii) e (ho_5493 u ii)))))))))) (let ((_let_7799 (forall ((x |u_(-> tptp.int tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5493 x z) (ho_5493 y z)))) (= x y))))) (let ((_let_7800 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ Bool Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ Bool Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_6842 v ii) (ite (= i ii) e (ho_6842 u ii)))))))))) (let ((_let_7801 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ Bool Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ Bool Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6842 x z) (ho_6842 y z)))) (= x y))))) (let ((_let_7802 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5379 v ii) (ite (= i ii) e (ho_5379 u ii)))))))))) (let ((_let_7803 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5379 x z) (ho_5379 y z)))) (= x y))))) (let ((_let_7804 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_14016 v ii) (ite (= i ii) e (ho_14016 u ii)))))))))) (let ((_let_7805 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_14016 x z) (ho_14016 y z)))) (= x y))))) (let ((_let_7806 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13007 v ii) (ite (= i ii) e (ho_13007 u ii)))))))))) (let ((_let_7807 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13007 x z) (ho_13007 y z)))) (= x y))))) (let ((_let_7808 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7828 v ii) (ite (= i ii) e (ho_7828 u ii)))))))))) (let ((_let_7809 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7828 x z) (ho_7828 y z)))) (= x y))))) (let ((_let_7810 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii Bool)) (= (ho_5847 v ii) (ite (= i ii) e (ho_5847 u ii)))))))))) (let ((_let_7811 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z Bool)) (= (ho_5847 x z) (ho_5847 y z)))) (= x y))))) (let ((_let_7812 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.nat Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (= (ho_10077 v ii) (ite (= i ii) e (ho_10077 u ii)))))))))) (let ((_let_7813 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (= (ho_10077 x z) (ho_10077 y z)))) (= x y))))) (let ((_let_7814 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|) (e |u_(-> _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|) (i |u_(-> tptp.char tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14380 v ii) (ite (= i ii) e (ho_14380 u ii)))))))))) (let ((_let_7815 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|) (y |u_(-> _u_(-> tptp.char tptp.set_nat)_ _u_(-> tptp.num tptp.char)_ tptp.num tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_nat)|)) (= (ho_14380 x z) (ho_14380 y z)))) (= x y))))) (let ((_let_7816 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4876 v ii) (ite (= i ii) e (ho_4876 u ii)))))))))) (let ((_let_7817 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4876 x z) (ho_4876 y z)))) (= x y))))) (let ((_let_7818 (forall ((u |u_(-> Bool tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii Bool)) (= (ho_4660 v ii) (ite (= i ii) e (ho_4660 u ii)))))))))) (let ((_let_7819 (forall ((x |u_(-> Bool tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> Bool tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z Bool)) (= (ho_4660 x z) (ho_4660 y z)))) (= x y))))) (let ((_let_7820 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8264 v ii) (ite (= i ii) e (ho_8264 u ii)))))))))) (let ((_let_7821 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8264 x z) (ho_8264 y z)))) (= x y))))) (let ((_let_7822 (forall ((u |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (i |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|)) (= (ho_14909 v ii) (ite (= i ii) e (ho_14909 u ii)))))))))) (let ((_let_7823 (forall ((x |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)_ tptp.set_Pr4334478416066269672t_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.produc526117512892780850t_unit tptp.product_unit)|)) (= (ho_14909 x z) (ho_14909 y z)))) (= x y))))) (let ((_let_7824 (forall ((u |u_(-> Bool tptp.set_nat tptp.set_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_nat tptp.set_nat tptp.set_nat)|)) (not (forall ((ii Bool)) (= (ho_4558 v ii) (ite (= i ii) e (ho_4558 u ii)))))))))) (let ((_let_7825 (forall ((x |u_(-> Bool tptp.set_nat tptp.set_nat tptp.set_nat)|) (y |u_(-> Bool tptp.set_nat tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z Bool)) (= (ho_4558 x z) (ho_4558 y z)))) (= x y))))) (let ((_let_7826 (forall ((u |u_(-> Bool tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_5038 v ii) (ite (= i ii) e (ho_5038 u ii)))))))))) (let ((_let_7827 (forall ((x |u_(-> Bool tptp.set_nat tptp.nat Bool)|) (y |u_(-> Bool tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_5038 x z) (ho_5038 y z)))) (= x y))))) (let ((_let_7828 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12032 v ii) (ite (= i ii) e (ho_12032 u ii)))))))))) (let ((_let_7829 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.a Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12032 x z) (ho_12032 y z)))) (= x y))))) (let ((_let_7830 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5383 v ii) (ite (= i ii) e (ho_5383 u ii)))))))))) (let ((_let_7831 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5383 x z) (ho_5383 y z)))) (= x y))))) (let ((_let_7832 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4567 v ii) (ite (= i ii) e (ho_4567 u ii)))))))))) (let ((_let_7833 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4567 x z) (ho_4567 y z)))) (= x y))))) (let ((_let_7834 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_12897 v ii) (ite (= i ii) e (ho_12897 u ii)))))))))) (let ((_let_7835 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.code_integer)_ Bool)|)) (= (ho_12897 x z) (ho_12897 y z)))) (= x y))))) (let ((_let_7836 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4707 v ii) (ite (= i ii) e (ho_4707 u ii)))))))))) (let ((_let_7837 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4707 x z) (ho_4707 y z)))) (= x y))))) (let ((_let_7838 (forall ((u |u_(-> Bool tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii Bool)) (= (ho_5403 v ii) (ite (= i ii) e (ho_5403 u ii)))))))))) (let ((_let_7839 (forall ((x |u_(-> Bool tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> Bool tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z Bool)) (= (ho_5403 x z) (ho_5403 y z)))) (= x y))))) (let ((_let_7840 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7812 v ii) (ite (= i ii) e (ho_7812 u ii)))))))))) (let ((_let_7841 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7812 x z) (ho_7812 y z)))) (= x y))))) (let ((_let_7842 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_9761 v ii) (ite (= i ii) e (ho_9761 u ii)))))))))) (let ((_let_7843 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_9761 x z) (ho_9761 y z)))) (= x y))))) (let ((_let_7844 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (e |u_(-> tptp.product_unit tptp.set_int)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_6120 v ii) (ite (= i ii) e (ho_6120 u ii)))))))))) (let ((_let_7845 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_6120 x z) (ho_6120 y z)))) (= x y))))) (let ((_let_7846 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7289 v ii) (ite (= i ii) e (ho_7289 u ii)))))))))) (let ((_let_7847 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7289 x z) (ho_7289 y z)))) (= x y))))) (let ((_let_7848 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_15869 v ii) (ite (= i ii) e (ho_15869 u ii)))))))))) (let ((_let_7849 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_o tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_15869 x z) (ho_15869 y z)))) (= x y))))) (let ((_let_7850 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o Bool Bool)|) (e |u_(-> tptp.set_o Bool Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8507 v ii) (ite (= i ii) e (ho_8507 u ii)))))))))) (let ((_let_7851 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8507 x z) (ho_8507 y z)))) (= x y))))) (let ((_let_7852 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_int)_ tptp.product_prod_nat_nat tptp.set_int)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_int)_ tptp.product_prod_nat_nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.set_int)|)) (= (ho_12153 v ii) (ite (= i ii) e (ho_12153 u ii)))))))))) (let ((_let_7853 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_int)_ tptp.product_prod_nat_nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_int)_ tptp.product_prod_nat_nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.set_int)|)) (= (ho_12153 x z) (ho_12153 y z)))) (= x y))))) (let ((_let_7854 (forall ((u |u_(-> tptp.set_o tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7854 v ii) (ite (= i ii) e (ho_7854 u ii)))))))))) (let ((_let_7855 (forall ((x |u_(-> tptp.set_o tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_o tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7854 x z) (ho_7854 y z)))) (= x y))))) (let ((_let_7856 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_o)|) (e tptp.set_o) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_o)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_4538 v ii) (ite (= i ii) e (ho_4538 u ii)))))))))) (let ((_let_7857 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_o)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_4538 x z) (ho_4538 y z)))) (= x y))))) (let ((_let_7858 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_10198 v ii) (ite (= i ii) e (ho_10198 u ii)))))))))) (let ((_let_7859 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_10198 x z) (ho_10198 y z)))) (= x y))))) (let ((_let_7860 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_6061 v ii) (ite (= i ii) e (ho_6061 u ii)))))))))) (let ((_let_7861 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_6061 x z) (ho_6061 y z)))) (= x y))))) (let ((_let_7862 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_7036 v ii) (ite (= i ii) e (ho_7036 u ii)))))))))) (let ((_let_7863 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_7036 x z) (ho_7036 y z)))) (= x y))))) (let ((_let_7864 (forall ((u |u_(-> tptp.rat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_8112 v ii) (ite (= i ii) e (ho_8112 u ii)))))))))) (let ((_let_7865 (forall ((x |u_(-> tptp.rat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.rat _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_8112 x z) (ho_8112 y z)))) (= x y))))) (let ((_let_7866 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_rat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_rat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.rat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_rat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_10464 v ii) (ite (= i ii) e (ho_10464 u ii)))))))))) (let ((_let_7867 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_rat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ tptp.set_rat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_10464 x z) (ho_10464 y z)))) (= x y))))) (let ((_let_7868 (forall ((u |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_se6425085446898223655at_nat)) (not (forall ((v |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_se6425085446898223655at_nat)) (= (ho_5504 v ii) (ite (= i ii) e (ho_5504 u ii)))))))))) (let ((_let_7869 (forall ((x |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_se6425085446898223655at_nat)) (= (ho_5504 x z) (ho_5504 y z)))) (= x y))))) (let ((_let_7870 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12200 v ii) (ite (= i ii) e (ho_12200 u ii)))))))))) (let ((_let_7871 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12200 x z) (ho_12200 y z)))) (= x y))))) (let ((_let_7872 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|) (e |u_(-> tptp.product_unit tptp.int)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8720 v ii) (ite (= i ii) e (ho_8720 u ii)))))))))) (let ((_let_7873 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8720 x z) (ho_8720 y z)))) (= x y))))) (let ((_let_7874 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12237 v ii) (ite (= i ii) e (ho_12237 u ii)))))))))) (let ((_let_7875 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12237 x z) (ho_12237 y z)))) (= x y))))) (let ((_let_7876 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_5588 v ii) (ite (= i ii) e (ho_5588 u ii)))))))))) (let ((_let_7877 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_int tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_5588 x z) (ho_5588 y z)))) (= x y))))) (let ((_let_7878 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4673 v ii) (ite (= i ii) e (ho_4673 u ii)))))))))) (let ((_let_7879 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4673 x z) (ho_4673 y z)))) (= x y))))) (let ((_let_7880 (forall ((u |u_(-> tptp.int tptp.nat tptp.int tptp.num)|) (e |u_(-> tptp.nat tptp.int tptp.num)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.int tptp.num)|)) (not (forall ((ii tptp.int)) (= (ho_7062 v ii) (ite (= i ii) e (ho_7062 u ii)))))))))) (let ((_let_7881 (forall ((x |u_(-> tptp.int tptp.nat tptp.int tptp.num)|) (y |u_(-> tptp.int tptp.nat tptp.int tptp.num)|)) (or (not (forall ((z tptp.int)) (= (ho_7062 x z) (ho_7062 y z)))) (= x y))))) (let ((_let_7882 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4990 v ii) (ite (= i ii) e (ho_4990 u ii)))))))))) (let ((_let_7883 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4990 x z) (ho_4990 y z)))) (= x y))))) (let ((_let_7884 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)_ tptp.set_int tptp.set_se6260736226359567993nt_int)|) (e |u_(-> tptp.set_int tptp.set_se6260736226359567993nt_int)|) (i |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)_ tptp.set_int tptp.set_se6260736226359567993nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|)) (= (ho_4898 v ii) (ite (= i ii) e (ho_4898 u ii)))))))))) (let ((_let_7885 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)_ tptp.set_int tptp.set_se6260736226359567993nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)_ tptp.set_int tptp.set_se6260736226359567993nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|)) (= (ho_4898 x z) (ho_4898 y z)))) (= x y))))) (let ((_let_7886 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4518 v ii) (ite (= i ii) e (ho_4518 u ii)))))))))) (let ((_let_7887 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4518 x z) (ho_4518 y z)))) (= x y))))) (let ((_let_7888 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11402 v ii) (ite (= i ii) e (ho_11402 u ii)))))))))) (let ((_let_7889 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_11402 x z) (ho_11402 y z)))) (= x y))))) (let ((_let_7890 (forall ((u |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.a)) (= (ho_12013 v ii) (ite (= i ii) e (ho_12013 u ii)))))))))) (let ((_let_7891 (forall ((x |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.a tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.a)) (= (ho_12013 x z) (ho_12013 y z)))) (= x y))))) (let ((_let_7892 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5032 v ii) (ite (= i ii) e (ho_5032 u ii)))))))))) (let ((_let_7893 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5032 x z) (ho_5032 y z)))) (= x y))))) (let ((_let_7894 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5668 v ii) (ite (= i ii) e (ho_5668 u ii)))))))))) (let ((_let_7895 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5668 x z) (ho_5668 y z)))) (= x y))))) (let ((_let_7896 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.nat Bool)_ tptp.set_set_nat tptp.set_nat_o)|) (e |u_(-> tptp.set_set_nat tptp.set_nat_o)|) (i |u_(-> tptp.set_nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.nat Bool)_ tptp.set_set_nat tptp.set_nat_o)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.nat Bool)|)) (= (ho_6181 v ii) (ite (= i ii) e (ho_6181 u ii)))))))))) (let ((_let_7897 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.nat Bool)_ tptp.set_set_nat tptp.set_nat_o)|) (y |u_(-> _u_(-> tptp.set_nat tptp.nat Bool)_ tptp.set_set_nat tptp.set_nat_o)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.nat Bool)|)) (= (ho_6181 x z) (ho_6181 y z)))) (= x y))))) (let ((_let_7898 (forall ((u |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (i |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (= (ho_12657 v ii) (ite (= i ii) e (ho_12657 u ii)))))))))) (let ((_let_7899 (forall ((x |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.produc4196048018000912732at_int tptp.int)|)) (= (ho_12657 x z) (ho_12657 y z)))) (= x y))))) (let ((_let_7900 (forall ((u |u_(-> tptp.num tptp.num)|) (e tptp.num) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.num)|)) (not (forall ((ii tptp.num)) (= (ho_4529 v ii) (ite (= i ii) e (ho_4529 u ii)))))))))) (let ((_let_7901 (forall ((x |u_(-> tptp.num tptp.num)|) (y |u_(-> tptp.num tptp.num)|)) (or (not (forall ((z tptp.num)) (= (ho_4529 x z) (ho_4529 y z)))) (= x y))))) (let ((_let_7902 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_16039 v ii) (ite (= i ii) e (ho_16039 u ii)))))))))) (let ((_let_7903 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_16039 x z) (ho_16039 y z)))) (= x y))))) (let ((_let_7904 (forall ((u |u_(-> tptp.set_int _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_11175 v ii) (ite (= i ii) e (ho_11175 u ii)))))))))) (let ((_let_7905 (forall ((x |u_(-> tptp.set_int _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11175 x z) (ho_11175 y z)))) (= x y))))) (let ((_let_7906 (forall ((u |u_(-> tptp.ref_ref_a tptp.heap_Heap_ref_a)|) (e tptp.heap_Heap_ref_a) (i tptp.ref_ref_a)) (not (forall ((v |u_(-> tptp.ref_ref_a tptp.heap_Heap_ref_a)|)) (not (forall ((ii tptp.ref_ref_a)) (= (ho_12043 v ii) (ite (= i ii) e (ho_12043 u ii)))))))))) (let ((_let_7907 (forall ((x |u_(-> tptp.ref_ref_a tptp.heap_Heap_ref_a)|) (y |u_(-> tptp.ref_ref_a tptp.heap_Heap_ref_a)|)) (or (not (forall ((z tptp.ref_ref_a)) (= (ho_12043 x z) (ho_12043 y z)))) (= x y))))) (let ((_let_7908 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.int tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_4948 v ii) (ite (= i ii) e (ho_4948 u ii)))))))))) (let ((_let_7909 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_4948 x z) (ho_4948 y z)))) (= x y))))) (let ((_let_7910 (forall ((u |u_(-> Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii Bool)) (= (ho_4646 v ii) (ite (= i ii) e (ho_4646 u ii)))))))))) (let ((_let_7911 (forall ((x |u_(-> Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> Bool tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z Bool)) (= (ho_4646 x z) (ho_4646 y z)))) (= x y))))) (let ((_let_7912 (forall ((u |u_(-> Bool tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_nat_nat)|)) (not (forall ((ii Bool)) (= (ho_6825 v ii) (ite (= i ii) e (ho_6825 u ii)))))))))) (let ((_let_7913 (forall ((x |u_(-> Bool tptp.product_prod_nat_nat)|) (y |u_(-> Bool tptp.product_prod_nat_nat)|)) (or (not (forall ((z Bool)) (= (ho_6825 x z) (ho_6825 y z)))) (= x y))))) (let ((_let_7914 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11386 v ii) (ite (= i ii) e (ho_11386 u ii)))))))))) (let ((_let_7915 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_11386 x z) (ho_11386 y z)))) (= x y))))) (let ((_let_7916 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_5569 v ii) (ite (= i ii) e (ho_5569 u ii)))))))))) (let ((_let_7917 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_5569 x z) (ho_5569 y z)))) (= x y))))) (let ((_let_7918 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_8609 v ii) (ite (= i ii) e (ho_8609 u ii)))))))))) (let ((_let_7919 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_8609 x z) (ho_8609 y z)))) (= x y))))) (let ((_let_7920 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|) (e |u_(-> tptp.set_int Bool tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_5905 v ii) (ite (= i ii) e (ho_5905 u ii)))))))))) (let ((_let_7921 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_5905 x z) (ho_5905 y z)))) (= x y))))) (let ((_let_7922 (forall ((u |u_(-> tptp.nat tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4701 v ii) (ite (= i ii) e (ho_4701 u ii)))))))))) (let ((_let_7923 (forall ((x |u_(-> tptp.nat tptp.set_nat Bool)|) (y |u_(-> tptp.nat tptp.set_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4701 x z) (ho_4701 y z)))) (= x y))))) (let ((_let_7924 (forall ((u |u_(-> tptp.set_int tptp.set_int)|) (e tptp.set_int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_4913 v ii) (ite (= i ii) e (ho_4913 u ii)))))))))) (let ((_let_7925 (forall ((x |u_(-> tptp.set_int tptp.set_int)|) (y |u_(-> tptp.set_int tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4913 x z) (ho_4913 y z)))) (= x y))))) (let ((_let_7926 (forall ((u |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> Bool tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat Bool)|)) (= (ho_14681 v ii) (ite (= i ii) e (ho_14681 u ii)))))))))) (let ((_let_7927 (forall ((x |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat Bool)|)) (= (ho_14681 x z) (ho_14681 y z)))) (= x y))))) (let ((_let_7928 (forall ((u |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (e |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (i tptp.produc6271795597528267376eger_o)) (not (forall ((v |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|)) (not (forall ((ii tptp.produc6271795597528267376eger_o)) (= (ho_16001 v ii) (ite (= i ii) e (ho_16001 u ii)))))))))) (let ((_let_7929 (forall ((x |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (y |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|)) (or (not (forall ((z tptp.produc6271795597528267376eger_o)) (= (ho_16001 x z) (ho_16001 y z)))) (= x y))))) (let ((_let_7930 (forall ((u |u_(-> tptp.set_int tptp.set_int tptp.set_int)|) (e |u_(-> tptp.set_int tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_int tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_4918 v ii) (ite (= i ii) e (ho_4918 u ii)))))))))) (let ((_let_7931 (forall ((x |u_(-> tptp.set_int tptp.set_int tptp.set_int)|) (y |u_(-> tptp.set_int tptp.set_int tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4918 x z) (ho_4918 y z)))) (= x y))))) (let ((_let_7932 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5126 v ii) (ite (= i ii) e (ho_5126 u ii)))))))))) (let ((_let_7933 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5126 x z) (ho_5126 y z)))) (= x y))))) (let ((_let_7934 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr3594552606344371909at_int)|) (e tptp.set_Pr3594552606344371909at_int) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr3594552606344371909at_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15407 v ii) (ite (= i ii) e (ho_15407 u ii)))))))))) (let ((_let_7935 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr3594552606344371909at_int)|) (y |u_(-> tptp.set_nat tptp.set_Pr3594552606344371909at_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15407 x z) (ho_15407 y z)))) (= x y))))) (let ((_let_7936 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10173 v ii) (ite (= i ii) e (ho_10173 u ii)))))))))) (let ((_let_7937 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10173 x z) (ho_10173 y z)))) (= x y))))) (let ((_let_7938 (forall ((u |u_(-> tptp.set_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4560 v ii) (ite (= i ii) e (ho_4560 u ii)))))))))) (let ((_let_7939 (forall ((x |u_(-> tptp.set_nat tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4560 x z) (ho_4560 y z)))) (= x y))))) (let ((_let_7940 (forall ((u |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (e tptp.produc414006230660905482ar_rat) (i tptp.produc143505574896075907r_char)) (not (forall ((v |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii tptp.produc143505574896075907r_char)) (= (ho_16038 v ii) (ite (= i ii) e (ho_16038 u ii)))))))))) (let ((_let_7941 (forall ((x |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|) (y |u_(-> tptp.produc143505574896075907r_char tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z tptp.produc143505574896075907r_char)) (= (ho_16038 x z) (ho_16038 y z)))) (= x y))))) (let ((_let_7942 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_5604 v ii) (ite (= i ii) e (ho_5604 u ii)))))))))) (let ((_let_7943 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_5604 x z) (ho_5604 y z)))) (= x y))))) (let ((_let_7944 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13362 v ii) (ite (= i ii) e (ho_13362 u ii)))))))))) (let ((_let_7945 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13362 x z) (ho_13362 y z)))) (= x y))))) (let ((_let_7946 (forall ((u |u_(-> tptp.set_set_nat tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_rat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_16037 v ii) (ite (= i ii) e (ho_16037 u ii)))))))))) (let ((_let_7947 (forall ((x |u_(-> tptp.set_set_nat tptp.set_rat)|) (y |u_(-> tptp.set_set_nat tptp.set_rat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_16037 x z) (ho_16037 y z)))) (= x y))))) (let ((_let_7948 (forall ((u |u_(-> tptp.set_in7748886932685137004at_nat _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i tptp.set_in7748886932685137004at_nat)) (not (forall ((v |u_(-> tptp.set_in7748886932685137004at_nat _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_in7748886932685137004at_nat)) (= (ho_14215 v ii) (ite (= i ii) e (ho_14215 u ii)))))))))) (let ((_let_7949 (forall ((x |u_(-> tptp.set_in7748886932685137004at_nat _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> tptp.set_in7748886932685137004at_nat _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_in7748886932685137004at_nat)) (= (ho_14215 x z) (ho_14215 y z)))) (= x y))))) (let ((_let_7950 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)_ tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|) (e |u_(-> tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|) (i |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)_ tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (= (ho_6259 v ii) (ite (= i ii) e (ho_6259 u ii)))))))))) (let ((_let_7951 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)_ tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)_ tptp.set_nat_nat_o tptp.set_Pr5582243495563764594_nat_o)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (= (ho_6259 x z) (ho_6259 y z)))) (= x y))))) (let ((_let_7952 (forall ((u |u_(-> tptp.set_char tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_char)) (= (ho_10531 v ii) (ite (= i ii) e (ho_10531 u ii)))))))))) (let ((_let_7953 (forall ((x |u_(-> tptp.set_char tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_char tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_char)) (= (ho_10531 x z) (ho_10531 y z)))) (= x y))))) (let ((_let_7954 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_5925 v ii) (ite (= i ii) e (ho_5925 u ii)))))))))) (let ((_let_7955 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_5925 x z) (ho_5925 y z)))) (= x y))))) (let ((_let_7956 (forall ((u |u_(-> _u_(-> tptp.set_nat Bool)_ tptp.set_set_nat tptp.set_o)|) (e |u_(-> tptp.set_set_nat tptp.set_o)|) (i |u_(-> tptp.set_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat Bool)_ tptp.set_set_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.set_nat Bool)|)) (= (ho_4703 v ii) (ite (= i ii) e (ho_4703 u ii)))))))))) (let ((_let_7957 (forall ((x |u_(-> _u_(-> tptp.set_nat Bool)_ tptp.set_set_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.set_nat Bool)_ tptp.set_set_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.set_nat Bool)|)) (= (ho_4703 x z) (ho_4703 y z)))) (= x y))))) (let ((_let_7958 (forall ((u |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13492 v ii) (ite (= i ii) e (ho_13492 u ii)))))))))) (let ((_let_7959 (forall ((x |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char Bool)|)) (= (ho_13492 x z) (ho_13492 y z)))) (= x y))))) (let ((_let_7960 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|) (e |u_(-> Bool Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_4637 v ii) (ite (= i ii) e (ho_4637 u ii)))))))))) (let ((_let_7961 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_4637 x z) (ho_4637 y z)))) (= x y))))) (let ((_let_7962 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9768 v ii) (ite (= i ii) e (ho_9768 u ii)))))))))) (let ((_let_7963 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9768 x z) (ho_9768 y z)))) (= x y))))) (let ((_let_7964 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8647 v ii) (ite (= i ii) e (ho_8647 u ii)))))))))) (let ((_let_7965 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8647 x z) (ho_8647 y z)))) (= x y))))) (let ((_let_7966 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5429 v ii) (ite (= i ii) e (ho_5429 u ii)))))))))) (let ((_let_7967 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5429 x z) (ho_5429 y z)))) (= x y))))) (let ((_let_7968 (forall ((u |u_(-> tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_5575 v ii) (ite (= i ii) e (ho_5575 u ii)))))))))) (let ((_let_7969 (forall ((x |u_(-> tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5575 x z) (ho_5575 y z)))) (= x y))))) (let ((_let_7970 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e Bool) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13581 v ii) (ite (= i ii) e (ho_13581 u ii)))))))))) (let ((_let_7971 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13581 x z) (ho_13581 y z)))) (= x y))))) (let ((_let_7972 (forall ((u |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5049 v ii) (ite (= i ii) e (ho_5049 u ii)))))))))) (let ((_let_7973 (forall ((x |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5049 x z) (ho_5049 y z)))) (= x y))))) (let ((_let_7974 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_14276 v ii) (ite (= i ii) e (ho_14276 u ii)))))))))) (let ((_let_7975 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_14276 x z) (ho_14276 y z)))) (= x y))))) (let ((_let_7976 (forall ((u |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_6403 v ii) (ite (= i ii) e (ho_6403 u ii)))))))))) (let ((_let_7977 (forall ((x |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|) (y |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_6403 x z) (ho_6403 y z)))) (= x y))))) (let ((_let_7978 (forall ((u |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii Bool)) (= (ho_5017 v ii) (ite (= i ii) e (ho_5017 u ii)))))))))) (let ((_let_7979 (forall ((x |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_5017 x z) (ho_5017 y z)))) (= x y))))) (let ((_let_7980 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|) (e |u_(-> Bool tptp.product_unit Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_13972 v ii) (ite (= i ii) e (ho_13972 u ii)))))))))) (let ((_let_7981 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_13972 x z) (ho_13972 y z)))) (= x y))))) (let ((_let_7982 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_5571 v ii) (ite (= i ii) e (ho_5571 u ii)))))))))) (let ((_let_7983 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_5571 x z) (ho_5571 y z)))) (= x y))))) (let ((_let_7984 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4768 v ii) (ite (= i ii) e (ho_4768 u ii)))))))))) (let ((_let_7985 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4768 x z) (ho_4768 y z)))) (= x y))))) (let ((_let_7986 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|) (e |u_(-> _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15638 v ii) (ite (= i ii) e (ho_15638 u ii)))))))))) (let ((_let_7987 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_15638 x z) (ho_15638 y z)))) (= x y))))) (let ((_let_7988 (forall ((u |u_(-> tptp.rat tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.nat tptp.rat)|)) (not (forall ((ii tptp.rat)) (= (ho_9308 v ii) (ite (= i ii) e (ho_9308 u ii)))))))))) (let ((_let_7989 (forall ((x |u_(-> tptp.rat tptp.nat tptp.rat)|) (y |u_(-> tptp.rat tptp.nat tptp.rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_9308 x z) (ho_9308 y z)))) (= x y))))) (let ((_let_7990 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14786 v ii) (ite (= i ii) e (ho_14786 u ii)))))))))) (let ((_let_7991 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_14786 x z) (ho_14786 y z)))) (= x y))))) (let ((_let_7992 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5016 v ii) (ite (= i ii) e (ho_5016 u ii)))))))))) (let ((_let_7993 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5016 x z) (ho_5016 y z)))) (= x y))))) (let ((_let_7994 (forall ((u |u_(-> tptp.product_unit tptp.set_int)|) (e tptp.set_int) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((ii tptp.product_unit)) (= (ho_6113 v ii) (ite (= i ii) e (ho_6113 u ii)))))))))) (let ((_let_7995 (forall ((x |u_(-> tptp.product_unit tptp.set_int)|) (y |u_(-> tptp.product_unit tptp.set_int)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_6113 x z) (ho_6113 y z)))) (= x y))))) (let ((_let_7996 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (e tptp.set_Pr7459493094073627847at_nat) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_6328 v ii) (ite (= i ii) e (ho_6328 u ii)))))))))) (let ((_let_7997 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_6328 x z) (ho_6328 y z)))) (= x y))))) (let ((_let_7998 (forall ((u |u_(-> tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_10519 v ii) (ite (= i ii) e (ho_10519 u ii)))))))))) (let ((_let_7999 (forall ((x |u_(-> tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_10519 x z) (ho_10519 y z)))) (= x y))))) (let ((_let_8000 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4656 v ii) (ite (= i ii) e (ho_4656 u ii)))))))))) (let ((_let_8001 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4656 x z) (ho_4656 y z)))) (= x y))))) (let ((_let_8002 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_9276 v ii) (ite (= i ii) e (ho_9276 u ii)))))))))) (let ((_let_8003 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_9276 x z) (ho_9276 y z)))) (= x y))))) (let ((_let_8004 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12197 v ii) (ite (= i ii) e (ho_12197 u ii)))))))))) (let ((_let_8005 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12197 x z) (ho_12197 y z)))) (= x y))))) (let ((_let_8006 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (e |u_(-> tptp.nat Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4554 v ii) (ite (= i ii) e (ho_4554 u ii)))))))))) (let ((_let_8007 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4554 x z) (ho_4554 y z)))) (= x y))))) (let ((_let_8008 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat tptp.set_set_int)|) (e |u_(-> tptp.set_set_nat tptp.set_set_int)|) (i |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat tptp.set_set_int)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_9228 v ii) (ite (= i ii) e (ho_9228 u ii)))))))))) (let ((_let_8009 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat tptp.set_set_int)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_int)_ tptp.set_set_nat tptp.set_set_int)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_int)|)) (= (ho_9228 x z) (ho_9228 y z)))) (= x y))))) (let ((_let_8010 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6356 v ii) (ite (= i ii) e (ho_6356 u ii)))))))))) (let ((_let_8011 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6356 x z) (ho_6356 y z)))) (= x y))))) (let ((_let_8012 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|) (e |u_(-> tptp.product_unit tptp.int)|) (i |u_(-> tptp.product_unit tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8733 v ii) (ite (= i ii) e (ho_8733 u ii)))))))))) (let ((_let_8013 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_int)|)) (= (ho_8733 x z) (ho_8733 y z)))) (= x y))))) (let ((_let_8014 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_6845 v ii) (ite (= i ii) e (ho_6845 u ii)))))))))) (let ((_let_8015 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6845 x z) (ho_6845 y z)))) (= x y))))) (let ((_let_8016 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|) (e tptp.produc8483956148555600810_a_int) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12463 v ii) (ite (= i ii) e (ho_12463 u ii)))))))))) (let ((_let_8017 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12463 x z) (ho_12463 y z)))) (= x y))))) (let ((_let_8018 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5792 v ii) (ite (= i ii) e (ho_5792 u ii)))))))))) (let ((_let_8019 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5792 x z) (ho_5792 y z)))) (= x y))))) (let ((_let_8020 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5107 v ii) (ite (= i ii) e (ho_5107 u ii)))))))))) (let ((_let_8021 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5107 x z) (ho_5107 y z)))) (= x y))))) (let ((_let_8022 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5106 v ii) (ite (= i ii) e (ho_5106 u ii)))))))))) (let ((_let_8023 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5106 x z) (ho_5106 y z)))) (= x y))))) (let ((_let_8024 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_7313 v ii) (ite (= i ii) e (ho_7313 u ii)))))))))) (let ((_let_8025 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.int)_ tptp.num tptp.int tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7313 x z) (ho_7313 y z)))) (= x y))))) (let ((_let_8026 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5643 v ii) (ite (= i ii) e (ho_5643 u ii)))))))))) (let ((_let_8027 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5643 x z) (ho_5643 y z)))) (= x y))))) (let ((_let_8028 (forall ((u |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (i tptp.produc1906917888121415911at_nat)) (not (forall ((v |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|)) (not (forall ((ii tptp.produc1906917888121415911at_nat)) (= (ho_15081 v ii) (ite (= i ii) e (ho_15081 u ii)))))))))) (let ((_let_8029 (forall ((x |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (y |u_(-> tptp.produc1906917888121415911at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|)) (or (not (forall ((z tptp.produc1906917888121415911at_nat)) (= (ho_15081 x z) (ho_15081 y z)))) (= x y))))) (let ((_let_8030 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13995 v ii) (ite (= i ii) e (ho_13995 u ii)))))))))) (let ((_let_8031 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13995 x z) (ho_13995 y z)))) (= x y))))) (let ((_let_8032 (forall ((u |u_(-> tptp.set_char tptp.set_char tptp.set_char)|) (e |u_(-> tptp.set_char tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_char tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8820 v ii) (ite (= i ii) e (ho_8820 u ii)))))))))) (let ((_let_8033 (forall ((x |u_(-> tptp.set_char tptp.set_char tptp.set_char)|) (y |u_(-> tptp.set_char tptp.set_char tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8820 x z) (ho_8820 y z)))) (= x y))))) (let ((_let_8034 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10536 v ii) (ite (= i ii) e (ho_10536 u ii)))))))))) (let ((_let_8035 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10536 x z) (ho_10536 y z)))) (= x y))))) (let ((_let_8036 (forall ((u |u_(-> Bool tptp.rat)|) (e tptp.rat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.rat)|)) (not (forall ((ii Bool)) (= (ho_7177 v ii) (ite (= i ii) e (ho_7177 u ii)))))))))) (let ((_let_8037 (forall ((x |u_(-> Bool tptp.rat)|) (y |u_(-> Bool tptp.rat)|)) (or (not (forall ((z Bool)) (= (ho_7177 x z) (ho_7177 y z)))) (= x y))))) (let ((_let_8038 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5131 v ii) (ite (= i ii) e (ho_5131 u ii)))))))))) (let ((_let_8039 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5131 x z) (ho_5131 y z)))) (= x y))))) (let ((_let_8040 (forall ((u |u_(-> tptp.int tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.int)) (= (ho_5378 v ii) (ite (= i ii) e (ho_5378 u ii)))))))))) (let ((_let_8041 (forall ((x |u_(-> tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_5378 x z) (ho_5378 y z)))) (= x y))))) (let ((_let_8042 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5130 v ii) (ite (= i ii) e (ho_5130 u ii)))))))))) (let ((_let_8043 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5130 x z) (ho_5130 y z)))) (= x y))))) (let ((_let_8044 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11036 v ii) (ite (= i ii) e (ho_11036 u ii)))))))))) (let ((_let_8045 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_11036 x z) (ho_11036 y z)))) (= x y))))) (let ((_let_8046 (forall ((u |u_(-> tptp.set_o tptp.set_char)|) (e tptp.set_char) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_char)|)) (not (forall ((ii tptp.set_o)) (= (ho_7222 v ii) (ite (= i ii) e (ho_7222 u ii)))))))))) (let ((_let_8047 (forall ((x |u_(-> tptp.set_o tptp.set_char)|) (y |u_(-> tptp.set_o tptp.set_char)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7222 x z) (ho_7222 y z)))) (= x y))))) (let ((_let_8048 (forall ((u |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_13094 v ii) (ite (= i ii) e (ho_13094 u ii)))))))))) (let ((_let_8049 (forall ((x |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_13094 x z) (ho_13094 y z)))) (= x y))))) (let ((_let_8050 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (i |u_(-> tptp.ref_a tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12323 v ii) (ite (= i ii) e (ho_12323 u ii)))))))))) (let ((_let_8051 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> _u_(-> tptp.ref_a tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.ref_a)|)) (= (ho_12323 x z) (ho_12323 y z)))) (= x y))))) (let ((_let_8052 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_4976 v ii) (ite (= i ii) e (ho_4976 u ii)))))))))) (let ((_let_8053 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_4976 x z) (ho_4976 y z)))) (= x y))))) (let ((_let_8054 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5152 v ii) (ite (= i ii) e (ho_5152 u ii)))))))))) (let ((_let_8055 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5152 x z) (ho_5152 y z)))) (= x y))))) (let ((_let_8056 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat tptp.set_set_rat)|) (e |u_(-> tptp.set_set_nat tptp.set_set_rat)|) (i |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat tptp.set_set_rat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_13323 v ii) (ite (= i ii) e (ho_13323 u ii)))))))))) (let ((_let_8057 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat tptp.set_set_rat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat tptp.set_set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_13323 x z) (ho_13323 y z)))) (= x y))))) (let ((_let_8058 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_5214 v ii) (ite (= i ii) e (ho_5214 u ii)))))))))) (let ((_let_8059 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_5214 x z) (ho_5214 y z)))) (= x y))))) (let ((_let_8060 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_10351 v ii) (ite (= i ii) e (ho_10351 u ii)))))))))) (let ((_let_8061 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_10351 x z) (ho_10351 y z)))) (= x y))))) (let ((_let_8062 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool tptp.nat Bool)|) (e |u_(-> Bool tptp.nat Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_14732 v ii) (ite (= i ii) e (ho_14732 u ii)))))))))) (let ((_let_8063 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_14732 x z) (ho_14732 y z)))) (= x y))))) (let ((_let_8064 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7739 v ii) (ite (= i ii) e (ho_7739 u ii)))))))))) (let ((_let_8065 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7739 x z) (ho_7739 y z)))) (= x y))))) (let ((_let_8066 (forall ((u |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii Bool)) (= (ho_4615 v ii) (ite (= i ii) e (ho_4615 u ii)))))))))) (let ((_let_8067 (forall ((x |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z Bool)) (= (ho_4615 x z) (ho_4615 y z)))) (= x y))))) (let ((_let_8068 (forall ((u |u_(-> tptp.set_Pr8218934625190621173um_num tptp.set_Pr8218934625190621173um_num Bool)|) (e |u_(-> tptp.set_Pr8218934625190621173um_num Bool)|) (i tptp.set_Pr8218934625190621173um_num)) (not (forall ((v |u_(-> tptp.set_Pr8218934625190621173um_num tptp.set_Pr8218934625190621173um_num Bool)|)) (not (forall ((ii tptp.set_Pr8218934625190621173um_num)) (= (ho_10496 v ii) (ite (= i ii) e (ho_10496 u ii)))))))))) (let ((_let_8069 (forall ((x |u_(-> tptp.set_Pr8218934625190621173um_num tptp.set_Pr8218934625190621173um_num Bool)|) (y |u_(-> tptp.set_Pr8218934625190621173um_num tptp.set_Pr8218934625190621173um_num Bool)|)) (or (not (forall ((z tptp.set_Pr8218934625190621173um_num)) (= (ho_10496 x z) (ho_10496 y z)))) (= x y))))) (let ((_let_8070 (forall ((u |u_(-> tptp.char tptp.nat)|) (e tptp.nat) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.nat)|)) (not (forall ((ii tptp.char)) (= (ho_6811 v ii) (ite (= i ii) e (ho_6811 u ii)))))))))) (let ((_let_8071 (forall ((x |u_(-> tptp.char tptp.nat)|) (y |u_(-> tptp.char tptp.nat)|)) (or (not (forall ((z tptp.char)) (= (ho_6811 x z) (ho_6811 y z)))) (= x y))))) (let ((_let_8072 (forall ((u |u_(-> tptp.set_rat tptp.set_o tptp.set_rat_o)|) (e |u_(-> tptp.set_o tptp.set_rat_o)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_o tptp.set_rat_o)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15507 v ii) (ite (= i ii) e (ho_15507 u ii)))))))))) (let ((_let_8073 (forall ((x |u_(-> tptp.set_rat tptp.set_o tptp.set_rat_o)|) (y |u_(-> tptp.set_rat tptp.set_o tptp.set_rat_o)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15507 x z) (ho_15507 y z)))) (= x y))))) (let ((_let_8074 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4631 v ii) (ite (= i ii) e (ho_4631 u ii)))))))))) (let ((_let_8075 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_4631 x z) (ho_4631 y z)))) (= x y))))) (let ((_let_8076 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6813 v ii) (ite (= i ii) e (ho_6813 u ii)))))))))) (let ((_let_8077 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.char tptp.nat)_ tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6813 x z) (ho_6813 y z)))) (= x y))))) (let ((_let_8078 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (= (ho_14197 v ii) (ite (= i ii) e (ho_14197 u ii)))))))))) (let ((_let_8079 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (= (ho_14197 x z) (ho_14197 y z)))) (= x y))))) (let ((_let_8080 (forall ((u |u_(-> tptp.nat tptp.set_int)|) (e tptp.set_int) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((ii tptp.nat)) (= (ho_5594 v ii) (ite (= i ii) e (ho_5594 u ii)))))))))) (let ((_let_8081 (forall ((x |u_(-> tptp.nat tptp.set_int)|) (y |u_(-> tptp.nat tptp.set_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_5594 x z) (ho_5594 y z)))) (= x y))))) (let ((_let_8082 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_7037 v ii) (ite (= i ii) e (ho_7037 u ii)))))))))) (let ((_let_8083 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_7037 x z) (ho_7037 y z)))) (= x y))))) (let ((_let_8084 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12462 v ii) (ite (= i ii) e (ho_12462 u ii)))))))))) (let ((_let_8085 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ tptp.produc7812382424243267045t_unit tptp.produc8483956148555600810_a_int)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12462 x z) (ho_12462 y z)))) (= x y))))) (let ((_let_8086 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5665 v ii) (ite (= i ii) e (ho_5665 u ii)))))))))) (let ((_let_8087 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5665 x z) (ho_5665 y z)))) (= x y))))) (let ((_let_8088 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_6669 v ii) (ite (= i ii) e (ho_6669 u ii)))))))))) (let ((_let_8089 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_6669 x z) (ho_6669 y z)))) (= x y))))) (let ((_let_8090 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.set_set_nat)|) (e |u_(-> tptp.set_int tptp.set_set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_4953 v ii) (ite (= i ii) e (ho_4953 u ii)))))))))) (let ((_let_8091 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_4953 x z) (ho_4953 y z)))) (= x y))))) (let ((_let_8092 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_4997 v ii) (ite (= i ii) e (ho_4997 u ii)))))))))) (let ((_let_8093 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_4997 x z) (ho_4997 y z)))) (= x y))))) (let ((_let_8094 (forall ((u |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (i tptp.set_Pr7459493094073627847at_nat)) (not (forall ((v |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_Pr7459493094073627847at_nat)) (= (ho_7034 v ii) (ite (= i ii) e (ho_7034 u ii)))))))))) (let ((_let_8095 (forall ((x |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_Pr7459493094073627847at_nat)) (= (ho_7034 x z) (ho_7034 y z)))) (= x y))))) (let ((_let_8096 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10285 v ii) (ite (= i ii) e (ho_10285 u ii)))))))))) (let ((_let_8097 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10285 x z) (ho_10285 y z)))) (= x y))))) (let ((_let_8098 (forall ((u |u_(-> tptp.set_int Bool)|) (e Bool) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_5232 v ii) (ite (= i ii) e (ho_5232 u ii)))))))))) (let ((_let_8099 (forall ((x |u_(-> tptp.set_int Bool)|) (y |u_(-> tptp.set_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5232 x z) (ho_5232 y z)))) (= x y))))) (let ((_let_8100 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|) (e |u_(-> Bool tptp.product_prod_nat_o)|) (i |u_(-> Bool tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_13315 v ii) (ite (= i ii) e (ho_13315 u ii)))))))))) (let ((_let_8101 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_13315 x z) (ho_13315 y z)))) (= x y))))) (let ((_let_8102 (forall ((u |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5666 v ii) (ite (= i ii) e (ho_5666 u ii)))))))))) (let ((_let_8103 (forall ((x |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5666 x z) (ho_5666 y z)))) (= x y))))) (let ((_let_8104 (forall ((u |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_se6425085446898223655at_nat)) (not (forall ((v |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_se6425085446898223655at_nat)) (= (ho_8071 v ii) (ite (= i ii) e (ho_8071 u ii)))))))))) (let ((_let_8105 (forall ((x |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_se6425085446898223655at_nat)) (= (ho_8071 x z) (ho_8071 y z)))) (= x y))))) (let ((_let_8106 (forall ((u |u_(-> tptp.set_o tptp.product_prod_nat_nat tptp.set_o)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_o)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.product_prod_nat_nat tptp.set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_10046 v ii) (ite (= i ii) e (ho_10046 u ii)))))))))) (let ((_let_8107 (forall ((x |u_(-> tptp.set_o tptp.product_prod_nat_nat tptp.set_o)|) (y |u_(-> tptp.set_o tptp.product_prod_nat_nat tptp.set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_10046 x z) (ho_10046 y z)))) (= x y))))) (let ((_let_8108 (forall ((u |u_(-> tptp.int tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5231 v ii) (ite (= i ii) e (ho_5231 u ii)))))))))) (let ((_let_8109 (forall ((x |u_(-> tptp.int tptp.set_int Bool)|) (y |u_(-> tptp.int tptp.set_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5231 x z) (ho_5231 y z)))) (= x y))))) (let ((_let_8110 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9749 v ii) (ite (= i ii) e (ho_9749 u ii)))))))))) (let ((_let_8111 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9749 x z) (ho_9749 y z)))) (= x y))))) (let ((_let_8112 (forall ((u |u_(-> Bool tptp.set_o Bool)|) (e |u_(-> tptp.set_o Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o Bool)|)) (not (forall ((ii Bool)) (= (ho_5237 v ii) (ite (= i ii) e (ho_5237 u ii)))))))))) (let ((_let_8113 (forall ((x |u_(-> Bool tptp.set_o Bool)|) (y |u_(-> Bool tptp.set_o Bool)|)) (or (not (forall ((z Bool)) (= (ho_5237 x z) (ho_5237 y z)))) (= x y))))) (let ((_let_8114 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_6486 v ii) (ite (= i ii) e (ho_6486 u ii)))))))))) (let ((_let_8115 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_6486 x z) (ho_6486 y z)))) (= x y))))) (let ((_let_8116 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_10822 v ii) (ite (= i ii) e (ho_10822 u ii)))))))))) (let ((_let_8117 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_10822 x z) (ho_10822 y z)))) (= x y))))) (let ((_let_8118 (forall ((u |u_(-> tptp.rat tptp.product_unit)|) (e tptp.product_unit) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.product_unit)|)) (not (forall ((ii tptp.rat)) (= (ho_7194 v ii) (ite (= i ii) e (ho_7194 u ii)))))))))) (let ((_let_8119 (forall ((x |u_(-> tptp.rat tptp.product_unit)|) (y |u_(-> tptp.rat tptp.product_unit)|)) (or (not (forall ((z tptp.rat)) (= (ho_7194 x z) (ho_7194 y z)))) (= x y))))) (let ((_let_8120 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10753 v ii) (ite (= i ii) e (ho_10753 u ii)))))))))) (let ((_let_8121 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10753 x z) (ho_10753 y z)))) (= x y))))) (let ((_let_8122 (forall ((u |u_(-> tptp.int tptp.int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5299 v ii) (ite (= i ii) e (ho_5299 u ii)))))))))) (let ((_let_8123 (forall ((x |u_(-> tptp.int tptp.int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5299 x z) (ho_5299 y z)))) (= x y))))) (let ((_let_8124 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5699 v ii) (ite (= i ii) e (ho_5699 u ii)))))))))) (let ((_let_8125 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5699 x z) (ho_5699 y z)))) (= x y))))) (let ((_let_8126 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_5443 v ii) (ite (= i ii) e (ho_5443 u ii)))))))))) (let ((_let_8127 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_5443 x z) (ho_5443 y z)))) (= x y))))) (let ((_let_8128 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_5592 v ii) (ite (= i ii) e (ho_5592 u ii)))))))))) (let ((_let_8129 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_5592 x z) (ho_5592 y z)))) (= x y))))) (let ((_let_8130 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_6989 v ii) (ite (= i ii) e (ho_6989 u ii)))))))))) (let ((_let_8131 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_6989 x z) (ho_6989 y z)))) (= x y))))) (let ((_let_8132 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (= (ho_10848 v ii) (ite (= i ii) e (ho_10848 u ii)))))))))) (let ((_let_8133 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool Bool)|)) (= (ho_10848 x z) (ho_10848 y z)))) (= x y))))) (let ((_let_8134 (forall ((u |u_(-> tptp.set_list_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_list_nat)) (not (forall ((v |u_(-> tptp.set_list_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_list_nat)) (= (ho_15991 v ii) (ite (= i ii) e (ho_15991 u ii)))))))))) (let ((_let_8135 (forall ((x |u_(-> tptp.set_list_nat tptp.set_nat)|) (y |u_(-> tptp.set_list_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_list_nat)) (= (ho_15991 x z) (ho_15991 y z)))) (= x y))))) (let ((_let_8136 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7639 v ii) (ite (= i ii) e (ho_7639 u ii)))))))))) (let ((_let_8137 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7639 x z) (ho_7639 y z)))) (= x y))))) (let ((_let_8138 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.set_int)|) (e |u_(-> tptp.set_o tptp.set_int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_6099 v ii) (ite (= i ii) e (ho_6099 u ii)))))))))) (let ((_let_8139 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.set_o tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_6099 x z) (ho_6099 y z)))) (= x y))))) (let ((_let_8140 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_7298 v ii) (ite (= i ii) e (ho_7298 u ii)))))))))) (let ((_let_8141 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_7298 x z) (ho_7298 y z)))) (= x y))))) (let ((_let_8142 (forall ((u |u_(-> tptp.set_o_Product_unit Bool)|) (e Bool) (i tptp.set_o_Product_unit)) (not (forall ((v |u_(-> tptp.set_o_Product_unit Bool)|)) (not (forall ((ii tptp.set_o_Product_unit)) (= (ho_15461 v ii) (ite (= i ii) e (ho_15461 u ii)))))))))) (let ((_let_8143 (forall ((x |u_(-> tptp.set_o_Product_unit Bool)|) (y |u_(-> tptp.set_o_Product_unit Bool)|)) (or (not (forall ((z tptp.set_o_Product_unit)) (= (ho_15461 x z) (ho_15461 y z)))) (= x y))))) (let ((_let_8144 (forall ((u |u_(-> tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4762 v ii) (ite (= i ii) e (ho_4762 u ii)))))))))) (let ((_let_8145 (forall ((x |u_(-> tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4762 x z) (ho_4762 y z)))) (= x y))))) (let ((_let_8146 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5285 v ii) (ite (= i ii) e (ho_5285 u ii)))))))))) (let ((_let_8147 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5285 x z) (ho_5285 y z)))) (= x y))))) (let ((_let_8148 (forall ((u |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|) (e |u_(-> tptp.set_o tptp.set_nat)|) (i |u_(-> tptp.set_o tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_o tptp.set_o)|)) (= (ho_15636 v ii) (ite (= i ii) e (ho_15636 u ii)))))))))) (let ((_let_8149 (forall ((x |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_o tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_o tptp.set_o)|)) (= (ho_15636 x z) (ho_15636 y z)))) (= x y))))) (let ((_let_8150 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11398 v ii) (ite (= i ii) e (ho_11398 u ii)))))))))) (let ((_let_8151 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11398 x z) (ho_11398 y z)))) (= x y))))) (let ((_let_8152 (forall ((u |u_(-> tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7450 v ii) (ite (= i ii) e (ho_7450 u ii)))))))))) (let ((_let_8153 (forall ((x |u_(-> tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7450 x z) (ho_7450 y z)))) (= x y))))) (let ((_let_8154 (forall ((u |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.rat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.rat tptp.num)|)) (= (ho_10956 v ii) (ite (= i ii) e (ho_10956 u ii)))))))))) (let ((_let_8155 (forall ((x |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.num)|)) (= (ho_10956 x z) (ho_10956 y z)))) (= x y))))) (let ((_let_8156 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11154 v ii) (ite (= i ii) e (ho_11154 u ii)))))))))) (let ((_let_8157 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.rat Bool)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11154 x z) (ho_11154 y z)))) (= x y))))) (let ((_let_8158 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7540 v ii) (ite (= i ii) e (ho_7540 u ii)))))))))) (let ((_let_8159 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7540 x z) (ho_7540 y z)))) (= x y))))) (let ((_let_8160 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_5577 v ii) (ite (= i ii) e (ho_5577 u ii)))))))))) (let ((_let_8161 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_5577 x z) (ho_5577 y z)))) (= x y))))) (let ((_let_8162 (forall ((u |u_(-> tptp.set_Pr8415741480598773322nteger Bool)|) (e Bool) (i tptp.set_Pr8415741480598773322nteger)) (not (forall ((v |u_(-> tptp.set_Pr8415741480598773322nteger Bool)|)) (not (forall ((ii tptp.set_Pr8415741480598773322nteger)) (= (ho_12262 v ii) (ite (= i ii) e (ho_12262 u ii)))))))))) (let ((_let_8163 (forall ((x |u_(-> tptp.set_Pr8415741480598773322nteger Bool)|) (y |u_(-> tptp.set_Pr8415741480598773322nteger Bool)|)) (or (not (forall ((z tptp.set_Pr8415741480598773322nteger)) (= (ho_12262 x z) (ho_12262 y z)))) (= x y))))) (let ((_let_8164 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit tptp.set_char)|) (e |u_(-> tptp.set_Product_unit tptp.set_char)|) (i |u_(-> tptp.product_unit tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.char)|)) (= (ho_7241 v ii) (ite (= i ii) e (ho_7241 u ii)))))))))) (let ((_let_8165 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit tptp.set_char)|) (y |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.set_Product_unit tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.char)|)) (= (ho_7241 x z) (ho_7241 y z)))) (= x y))))) (let ((_let_8166 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10704 v ii) (ite (= i ii) e (ho_10704 u ii)))))))))) (let ((_let_8167 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10704 x z) (ho_10704 y z)))) (= x y))))) (let ((_let_8168 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12898 v ii) (ite (= i ii) e (ho_12898 u ii)))))))))) (let ((_let_8169 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.code_integer)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12898 x z) (ho_12898 y z)))) (= x y))))) (let ((_let_8170 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (e Bool) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 v ii) (ite (= i ii) e (ho_5242 u ii)))))))))) (let ((_let_8171 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 x z) (ho_5242 y z)))) (= x y))))) (let ((_let_8172 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i |u_(-> tptp.product_unit tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_15505 v ii) (ite (= i ii) e (ho_15505 u ii)))))))))) (let ((_let_8173 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.set_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_15505 x z) (ho_15505 y z)))) (= x y))))) (let ((_let_8174 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10313 v ii) (ite (= i ii) e (ho_10313 u ii)))))))))) (let ((_let_8175 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10313 x z) (ho_10313 y z)))) (= x y))))) (let ((_let_8176 (forall ((u |u_(-> _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.char)|)) (= (ho_10352 v ii) (ite (= i ii) e (ho_10352 u ii)))))))))) (let ((_let_8177 (forall ((x |u_(-> _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.char)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.char)|)) (= (ho_10352 x z) (ho_10352 y z)))) (= x y))))) (let ((_let_8178 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_16036 v ii) (ite (= i ii) e (ho_16036 u ii)))))))))) (let ((_let_8179 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_16036 x z) (ho_16036 y z)))) (= x y))))) (let ((_let_8180 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_12770 v ii) (ite (= i ii) e (ho_12770 u ii)))))))))) (let ((_let_8181 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (= (ho_12770 x z) (ho_12770 y z)))) (= x y))))) (let ((_let_8182 (forall ((u |u_(-> tptp.product_unit tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5043 v ii) (ite (= i ii) e (ho_5043 u ii)))))))))) (let ((_let_8183 (forall ((x |u_(-> tptp.product_unit tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5043 x z) (ho_5043 y z)))) (= x y))))) (let ((_let_8184 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_8709 v ii) (ite (= i ii) e (ho_8709 u ii)))))))))) (let ((_let_8185 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_8709 x z) (ho_8709 y z)))) (= x y))))) (let ((_let_8186 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5295 v ii) (ite (= i ii) e (ho_5295 u ii)))))))))) (let ((_let_8187 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5295 x z) (ho_5295 y z)))) (= x y))))) (let ((_let_8188 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5297 v ii) (ite (= i ii) e (ho_5297 u ii)))))))))) (let ((_let_8189 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5297 x z) (ho_5297 y z)))) (= x y))))) (let ((_let_8190 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (= (ho_12828 v ii) (ite (= i ii) e (ho_12828 u ii)))))))))) (let ((_let_8191 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (= (ho_12828 x z) (ho_12828 y z)))) (= x y))))) (let ((_let_8192 (forall ((u |u_(-> tptp.set_Product_unit tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_6894 v ii) (ite (= i ii) e (ho_6894 u ii)))))))))) (let ((_let_8193 (forall ((x |u_(-> tptp.set_Product_unit tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_6894 x z) (ho_6894 y z)))) (= x y))))) (let ((_let_8194 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9715 v ii) (ite (= i ii) e (ho_9715 u ii)))))))))) (let ((_let_8195 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9715 x z) (ho_9715 y z)))) (= x y))))) (let ((_let_8196 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_13896 v ii) (ite (= i ii) e (ho_13896 u ii)))))))))) (let ((_let_8197 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_13896 x z) (ho_13896 y z)))) (= x y))))) (let ((_let_8198 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_11167 v ii) (ite (= i ii) e (ho_11167 u ii)))))))))) (let ((_let_8199 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_11167 x z) (ho_11167 y z)))) (= x y))))) (let ((_let_8200 (forall ((u |u_(-> tptp.set_int Bool tptp.set_int)|) (e |u_(-> Bool tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int Bool tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_6148 v ii) (ite (= i ii) e (ho_6148 u ii)))))))))) (let ((_let_8201 (forall ((x |u_(-> tptp.set_int Bool tptp.set_int)|) (y |u_(-> tptp.set_int Bool tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6148 x z) (ho_6148 y z)))) (= x y))))) (let ((_let_8202 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6918 v ii) (ite (= i ii) e (ho_6918 u ii)))))))))) (let ((_let_8203 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_6918 x z) (ho_6918 y z)))) (= x y))))) (let ((_let_8204 (forall ((u |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr1763845938948868674it_nat)) (not (forall ((v |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr1763845938948868674it_nat)) (= (ho_14888 v ii) (ite (= i ii) e (ho_14888 u ii)))))))))) (let ((_let_8205 (forall ((x |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr1763845938948868674it_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr1763845938948868674it_nat)) (= (ho_14888 x z) (ho_14888 y z)))) (= x y))))) (let ((_let_8206 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.set_nat Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_nat Bool Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.set_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8509 v ii) (ite (= i ii) e (ho_8509 u ii)))))))))) (let ((_let_8207 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.set_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.set_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8509 x z) (ho_8509 y z)))) (= x y))))) (let ((_let_8208 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9791 v ii) (ite (= i ii) e (ho_9791 u ii)))))))))) (let ((_let_8209 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9791 x z) (ho_9791 y z)))) (= x y))))) (let ((_let_8210 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7696 v ii) (ite (= i ii) e (ho_7696 u ii)))))))))) (let ((_let_8211 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7696 x z) (ho_7696 y z)))) (= x y))))) (let ((_let_8212 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10270 v ii) (ite (= i ii) e (ho_10270 u ii)))))))))) (let ((_let_8213 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10270 x z) (ho_10270 y z)))) (= x y))))) (let ((_let_8214 (forall ((u |u_(-> tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5721 v ii) (ite (= i ii) e (ho_5721 u ii)))))))))) (let ((_let_8215 (forall ((x |u_(-> tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5721 x z) (ho_5721 y z)))) (= x y))))) (let ((_let_8216 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_12656 v ii) (ite (= i ii) e (ho_12656 u ii)))))))))) (let ((_let_8217 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.produc4196048018000912732at_int tptp.int)_ tptp.produc4196048018000912732at_int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_12656 x z) (ho_12656 y z)))) (= x y))))) (let ((_let_8218 (forall ((u |u_(-> tptp.set_nat tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_int tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7461 v ii) (ite (= i ii) e (ho_7461 u ii)))))))))) (let ((_let_8219 (forall ((x |u_(-> tptp.set_nat tptp.set_int tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7461 x z) (ho_7461 y z)))) (= x y))))) (let ((_let_8220 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)_ tptp.set_int_int tptp.set_int_int)|) (e |u_(-> tptp.set_int_int tptp.set_int_int)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)_ tptp.set_int_int tptp.set_int_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (= (ho_15816 v ii) (ite (= i ii) e (ho_15816 u ii)))))))))) (let ((_let_8221 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)_ tptp.set_int_int tptp.set_int_int)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)_ tptp.set_int_int tptp.set_int_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (= (ho_15816 x z) (ho_15816 y z)))) (= x y))))) (let ((_let_8222 (forall ((u |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii tptp.code_integer)) (= (ho_7041 v ii) (ite (= i ii) e (ho_7041 u ii)))))))))) (let ((_let_8223 (forall ((x |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_7041 x z) (ho_7041 y z)))) (= x y))))) (let ((_let_8224 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_13964 v ii) (ite (= i ii) e (ho_13964 u ii)))))))))) (let ((_let_8225 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_13964 x z) (ho_13964 y z)))) (= x y))))) (let ((_let_8226 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5573 v ii) (ite (= i ii) e (ho_5573 u ii)))))))))) (let ((_let_8227 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5573 x z) (ho_5573 y z)))) (= x y))))) (let ((_let_8228 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5730 v ii) (ite (= i ii) e (ho_5730 u ii)))))))))) (let ((_let_8229 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5730 x z) (ho_5730 y z)))) (= x y))))) (let ((_let_8230 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10153 v ii) (ite (= i ii) e (ho_10153 u ii)))))))))) (let ((_let_8231 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10153 x z) (ho_10153 y z)))) (= x y))))) (let ((_let_8232 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_7912 v ii) (ite (= i ii) e (ho_7912 u ii)))))))))) (let ((_let_8233 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_7912 x z) (ho_7912 y z)))) (= x y))))) (let ((_let_8234 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|) (e |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6809 v ii) (ite (= i ii) e (ho_6809 u ii)))))))))) (let ((_let_8235 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6809 x z) (ho_6809 y z)))) (= x y))))) (let ((_let_8236 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_12956 v ii) (ite (= i ii) e (ho_12956 u ii)))))))))) (let ((_let_8237 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_12956 x z) (ho_12956 y z)))) (= x y))))) (let ((_let_8238 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (= (ho_10649 v ii) (ite (= i ii) e (ho_10649 u ii)))))))))) (let ((_let_8239 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (= (ho_10649 x z) (ho_10649 y z)))) (= x y))))) (let ((_let_8240 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_5341 v ii) (ite (= i ii) e (ho_5341 u ii)))))))))) (let ((_let_8241 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_5341 x z) (ho_5341 y z)))) (= x y))))) (let ((_let_8242 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_16035 v ii) (ite (= i ii) e (ho_16035 u ii)))))))))) (let ((_let_8243 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_16035 x z) (ho_16035 y z)))) (= x y))))) (let ((_let_8244 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_10719 v ii) (ite (= i ii) e (ho_10719 u ii)))))))))) (let ((_let_8245 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_10719 x z) (ho_10719 y z)))) (= x y))))) (let ((_let_8246 (forall ((u |u_(-> tptp.int _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5359 v ii) (ite (= i ii) e (ho_5359 u ii)))))))))) (let ((_let_8247 (forall ((x |u_(-> tptp.int _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5359 x z) (ho_5359 y z)))) (= x y))))) (let ((_let_8248 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (e tptp.nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5369 v ii) (ite (= i ii) e (ho_5369 u ii)))))))))) (let ((_let_8249 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5369 x z) (ho_5369 y z)))) (= x y))))) (let ((_let_8250 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int tptp.set_o)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_o)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_13837 v ii) (ite (= i ii) e (ho_13837 u ii)))))))))) (let ((_let_8251 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.set_Pr958786334691620121nt_int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_13837 x z) (ho_13837 y z)))) (= x y))))) (let ((_let_8252 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5724 v ii) (ite (= i ii) e (ho_5724 u ii)))))))))) (let ((_let_8253 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5724 x z) (ho_5724 y z)))) (= x y))))) (let ((_let_8254 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5479 v ii) (ite (= i ii) e (ho_5479 u ii)))))))))) (let ((_let_8255 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5479 x z) (ho_5479 y z)))) (= x y))))) (let ((_let_8256 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5142 v ii) (ite (= i ii) e (ho_5142 u ii)))))))))) (let ((_let_8257 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5142 x z) (ho_5142 y z)))) (= x y))))) (let ((_let_8258 (forall ((u |u_(-> tptp.char tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.char Bool)|)) (not (forall ((ii tptp.char)) (= (ho_10471 v ii) (ite (= i ii) e (ho_10471 u ii)))))))))) (let ((_let_8259 (forall ((x |u_(-> tptp.char tptp.char Bool)|) (y |u_(-> tptp.char tptp.char Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_10471 x z) (ho_10471 y z)))) (= x y))))) (let ((_let_8260 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_13125 v ii) (ite (= i ii) e (ho_13125 u ii)))))))))) (let ((_let_8261 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_13125 x z) (ho_13125 y z)))) (= x y))))) (let ((_let_8262 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_5519 v ii) (ite (= i ii) e (ho_5519 u ii)))))))))) (let ((_let_8263 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_5519 x z) (ho_5519 y z)))) (= x y))))) (let ((_let_8264 (forall ((u |u_(-> tptp.num tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.num)) (= (ho_13292 v ii) (ite (= i ii) e (ho_13292 u ii)))))))))) (let ((_let_8265 (forall ((x |u_(-> tptp.num tptp.product_prod_num_nat)|) (y |u_(-> tptp.num tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.num)) (= (ho_13292 x z) (ho_13292 y z)))) (= x y))))) (let ((_let_8266 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8840 v ii) (ite (= i ii) e (ho_8840 u ii)))))))))) (let ((_let_8267 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8840 x z) (ho_8840 y z)))) (= x y))))) (let ((_let_8268 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5008 v ii) (ite (= i ii) e (ho_5008 u ii)))))))))) (let ((_let_8269 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5008 x z) (ho_5008 y z)))) (= x y))))) (let ((_let_8270 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14606 v ii) (ite (= i ii) e (ho_14606 u ii)))))))))) (let ((_let_8271 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr7717912310451564380at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14606 x z) (ho_14606 y z)))) (= x y))))) (let ((_let_8272 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14460 v ii) (ite (= i ii) e (ho_14460 u ii)))))))))) (let ((_let_8273 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_rat)_ tptp.set_Pr4105333604307423337at_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14460 x z) (ho_14460 y z)))) (= x y))))) (let ((_let_8274 (forall ((u |u_(-> tptp.set_int Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int Bool Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_7516 v ii) (ite (= i ii) e (ho_7516 u ii)))))))))) (let ((_let_8275 (forall ((x |u_(-> tptp.set_int Bool Bool)|) (y |u_(-> tptp.set_int Bool Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7516 x z) (ho_7516 y z)))) (= x y))))) (let ((_let_8276 (forall ((u |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_10227 v ii) (ite (= i ii) e (ho_10227 u ii)))))))))) (let ((_let_8277 (forall ((x |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_10227 x z) (ho_10227 y z)))) (= x y))))) (let ((_let_8278 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10744 v ii) (ite (= i ii) e (ho_10744 u ii)))))))))) (let ((_let_8279 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10744 x z) (ho_10744 y z)))) (= x y))))) (let ((_let_8280 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_4685 v ii) (ite (= i ii) e (ho_4685 u ii)))))))))) (let ((_let_8281 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_4685 x z) (ho_4685 y z)))) (= x y))))) (let ((_let_8282 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9742 v ii) (ite (= i ii) e (ho_9742 u ii)))))))))) (let ((_let_8283 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9742 x z) (ho_9742 y z)))) (= x y))))) (let ((_let_8284 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6788 v ii) (ite (= i ii) e (ho_6788 u ii)))))))))) (let ((_let_8285 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6788 x z) (ho_6788 y z)))) (= x y))))) (let ((_let_8286 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_5385 v ii) (ite (= i ii) e (ho_5385 u ii)))))))))) (let ((_let_8287 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5385 x z) (ho_5385 y z)))) (= x y))))) (let ((_let_8288 (forall ((u |u_(-> tptp.num tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.num)) (= (ho_5543 v ii) (ite (= i ii) e (ho_5543 u ii)))))))))) (let ((_let_8289 (forall ((x |u_(-> tptp.num tptp.product_prod_nat_num)|) (y |u_(-> tptp.num tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.num)) (= (ho_5543 x z) (ho_5543 y z)))) (= x y))))) (let ((_let_8290 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|) (e |u_(-> tptp.int tptp.set_rat)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_14353 v ii) (ite (= i ii) e (ho_14353 u ii)))))))))) (let ((_let_8291 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_14353 x z) (ho_14353 y z)))) (= x y))))) (let ((_let_8292 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_5388 v ii) (ite (= i ii) e (ho_5388 u ii)))))))))) (let ((_let_8293 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|)) (= (ho_5388 x z) (ho_5388 y z)))) (= x y))))) (let ((_let_8294 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4628 v ii) (ite (= i ii) e (ho_4628 u ii)))))))))) (let ((_let_8295 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4628 x z) (ho_4628 y z)))) (= x y))))) (let ((_let_8296 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_o)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_o)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_4537 v ii) (ite (= i ii) e (ho_4537 u ii)))))))))) (let ((_let_8297 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_4537 x z) (ho_4537 y z)))) (= x y))))) (let ((_let_8298 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|) (e tptp.set_Pr7098892610798258687nt_int) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (= (ho_14600 v ii) (ite (= i ii) e (ho_14600 u ii)))))))))) (let ((_let_8299 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)_ tptp.set_Pr7098892610798258687nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (= (ho_14600 x z) (ho_14600 y z)))) (= x y))))) (let ((_let_8300 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12804 v ii) (ite (= i ii) e (ho_12804 u ii)))))))))) (let ((_let_8301 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12804 x z) (ho_12804 y z)))) (= x y))))) (let ((_let_8302 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14085 v ii) (ite (= i ii) e (ho_14085 u ii)))))))))) (let ((_let_8303 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14085 x z) (ho_14085 y z)))) (= x y))))) (let ((_let_8304 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|) (e |u_(-> tptp.ref_a Bool)|) (i |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (= (ho_9850 v ii) (ite (= i ii) e (ho_9850 u ii)))))))))) (let ((_let_8305 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (= (ho_9850 x z) (ho_9850 y z)))) (= x y))))) (let ((_let_8306 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (= (ho_15278 v ii) (ite (= i ii) e (ho_15278 u ii)))))))))) (let ((_let_8307 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.nat)|)) (= (ho_15278 x z) (ho_15278 y z)))) (= x y))))) (let ((_let_8308 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_13858 v ii) (ite (= i ii) e (ho_13858 u ii)))))))))) (let ((_let_8309 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.code_integer tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_13858 x z) (ho_13858 y z)))) (= x y))))) (let ((_let_8310 (forall ((u |u_(-> tptp.product_unit Bool tptp.product_unit)|) (e |u_(-> Bool tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7266 v ii) (ite (= i ii) e (ho_7266 u ii)))))))))) (let ((_let_8311 (forall ((x |u_(-> tptp.product_unit Bool tptp.product_unit)|) (y |u_(-> tptp.product_unit Bool tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7266 x z) (ho_7266 y z)))) (= x y))))) (let ((_let_8312 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7572 v ii) (ite (= i ii) e (ho_7572 u ii)))))))))) (let ((_let_8313 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7572 x z) (ho_7572 y z)))) (= x y))))) (let ((_let_8314 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9774 v ii) (ite (= i ii) e (ho_9774 u ii)))))))))) (let ((_let_8315 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9774 x z) (ho_9774 y z)))) (= x y))))) (let ((_let_8316 (forall ((u |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5395 v ii) (ite (= i ii) e (ho_5395 u ii)))))))))) (let ((_let_8317 (forall ((x |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.code_integer tptp.code_integer tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5395 x z) (ho_5395 y z)))) (= x y))))) (let ((_let_8318 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.nat)|) (e tptp.nat) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_11920 v ii) (ite (= i ii) e (ho_11920 u ii)))))))))) (let ((_let_8319 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.nat)|) (y |u_(-> tptp.product_prod_nat_num tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_11920 x z) (ho_11920 y z)))) (= x y))))) (let ((_let_8320 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8635 v ii) (ite (= i ii) e (ho_8635 u ii)))))))))) (let ((_let_8321 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8635 x z) (ho_8635 y z)))) (= x y))))) (let ((_let_8322 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_14161 v ii) (ite (= i ii) e (ho_14161 u ii)))))))))) (let ((_let_8323 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.nat)|)) (= (ho_14161 x z) (ho_14161 y z)))) (= x y))))) (let ((_let_8324 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5878 v ii) (ite (= i ii) e (ho_5878 u ii)))))))))) (let ((_let_8325 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5878 x z) (ho_5878 y z)))) (= x y))))) (let ((_let_8326 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13105 v ii) (ite (= i ii) e (ho_13105 u ii)))))))))) (let ((_let_8327 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13105 x z) (ho_13105 y z)))) (= x y))))) (let ((_let_8328 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5921 v ii) (ite (= i ii) e (ho_5921 u ii)))))))))) (let ((_let_8329 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5921 x z) (ho_5921 y z)))) (= x y))))) (let ((_let_8330 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_13795 v ii) (ite (= i ii) e (ho_13795 u ii)))))))))) (let ((_let_8331 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc1906917888121415911at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_13795 x z) (ho_13795 y z)))) (= x y))))) (let ((_let_8332 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4988 v ii) (ite (= i ii) e (ho_4988 u ii)))))))))) (let ((_let_8333 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4988 x z) (ho_4988 y z)))) (= x y))))) (let ((_let_8334 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5160 v ii) (ite (= i ii) e (ho_5160 u ii)))))))))) (let ((_let_8335 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5160 x z) (ho_5160 y z)))) (= x y))))) (let ((_let_8336 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7728 v ii) (ite (= i ii) e (ho_7728 u ii)))))))))) (let ((_let_8337 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7728 x z) (ho_7728 y z)))) (= x y))))) (let ((_let_8338 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_10201 v ii) (ite (= i ii) e (ho_10201 u ii)))))))))) (let ((_let_8339 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_10201 x z) (ho_10201 y z)))) (= x y))))) (let ((_let_8340 (forall ((u |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|) (e |u_(-> tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|) (i |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (= (ho_6242 v ii) (ite (= i ii) e (ho_6242 u ii)))))))))) (let ((_let_8341 (forall ((x |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|) (y |u_(-> _u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)_ tptp.set_se6260736226359567993nt_int tptp.set_int_int_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr958786334691620121nt_int tptp.int tptp.int Bool)|)) (= (ho_6242 x z) (ho_6242 y z)))) (= x y))))) (let ((_let_8342 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8837 v ii) (ite (= i ii) e (ho_8837 u ii)))))))))) (let ((_let_8343 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8837 x z) (ho_8837 y z)))) (= x y))))) (let ((_let_8344 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10540 v ii) (ite (= i ii) e (ho_10540 u ii)))))))))) (let ((_let_8345 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10540 x z) (ho_10540 y z)))) (= x y))))) (let ((_let_8346 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5581 v ii) (ite (= i ii) e (ho_5581 u ii)))))))))) (let ((_let_8347 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit Bool)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5581 x z) (ho_5581 y z)))) (= x y))))) (let ((_let_8348 (forall ((u |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Co726186806682698383nteger Bool)|) (e |u_(-> tptp.set_Co726186806682698383nteger Bool)|) (i tptp.set_Co726186806682698383nteger)) (not (forall ((v |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Co726186806682698383nteger Bool)|)) (not (forall ((ii tptp.set_Co726186806682698383nteger)) (= (ho_10416 v ii) (ite (= i ii) e (ho_10416 u ii)))))))))) (let ((_let_8349 (forall ((x |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Co726186806682698383nteger Bool)|) (y |u_(-> tptp.set_Co726186806682698383nteger tptp.set_Co726186806682698383nteger Bool)|)) (or (not (forall ((z tptp.set_Co726186806682698383nteger)) (= (ho_10416 x z) (ho_10416 y z)))) (= x y))))) (let ((_let_8350 (forall ((u |u_(-> tptp.product_prod_num_num tptp.num)|) (e tptp.num) (i tptp.product_prod_num_num)) (not (forall ((v |u_(-> tptp.product_prod_num_num tptp.num)|)) (not (forall ((ii tptp.product_prod_num_num)) (= (ho_13623 v ii) (ite (= i ii) e (ho_13623 u ii)))))))))) (let ((_let_8351 (forall ((x |u_(-> tptp.product_prod_num_num tptp.num)|) (y |u_(-> tptp.product_prod_num_num tptp.num)|)) (or (not (forall ((z tptp.product_prod_num_num)) (= (ho_13623 x z) (ho_13623 y z)))) (= x y))))) (let ((_let_8352 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4630 v ii) (ite (= i ii) e (ho_4630 u ii)))))))))) (let ((_let_8353 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4630 x z) (ho_4630 y z)))) (= x y))))) (let ((_let_8354 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> tptp.nat tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit Bool)|)) (= (ho_13986 v ii) (ite (= i ii) e (ho_13986 u ii)))))))))) (let ((_let_8355 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit Bool)|)) (= (ho_13986 x z) (ho_13986 y z)))) (= x y))))) (let ((_let_8356 (forall ((u |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (i |u_(-> Bool tptp.product_prod_o_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_12981 v ii) (ite (= i ii) e (ho_12981 u ii)))))))))) (let ((_let_8357 (forall ((x |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> Bool tptp.product_prod_o_o)|)) (= (ho_12981 x z) (ho_12981 y z)))) (= x y))))) (let ((_let_8358 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8240 v ii) (ite (= i ii) e (ho_8240 u ii)))))))))) (let ((_let_8359 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8240 x z) (ho_8240 y z)))) (= x y))))) (let ((_let_8360 (forall ((u |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5408 v ii) (ite (= i ii) e (ho_5408 u ii)))))))))) (let ((_let_8361 (forall ((x |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5408 x z) (ho_5408 y z)))) (= x y))))) (let ((_let_8362 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_4495 v ii) (ite (= i ii) e (ho_4495 u ii)))))))))) (let ((_let_8363 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_4495 x z) (ho_4495 y z)))) (= x y))))) (let ((_let_8364 (forall ((u |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.nat)) (= (ho_6985 v ii) (ite (= i ii) e (ho_6985 u ii)))))))))) (let ((_let_8365 (forall ((x |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_6985 x z) (ho_6985 y z)))) (= x y))))) (let ((_let_8366 (forall ((u |u_(-> _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|) (e |u_(-> Bool tptp.set_char)|) (i |u_(-> Bool tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|)) (not (forall ((ii |u_(-> Bool tptp.set_char)|)) (= (ho_8872 v ii) (ite (= i ii) e (ho_8872 u ii)))))))))) (let ((_let_8367 (forall ((x |u_(-> _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|) (y |u_(-> _u_(-> Bool tptp.set_char)_ Bool tptp.set_char)|)) (or (not (forall ((z |u_(-> Bool tptp.set_char)|)) (= (ho_8872 x z) (ho_8872 y z)))) (= x y))))) (let ((_let_8368 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_9875 v ii) (ite (= i ii) e (ho_9875 u ii)))))))))) (let ((_let_8369 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_9875 x z) (ho_9875 y z)))) (= x y))))) (let ((_let_8370 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7452 v ii) (ite (= i ii) e (ho_7452 u ii)))))))))) (let ((_let_8371 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7452 x z) (ho_7452 y z)))) (= x y))))) (let ((_let_8372 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6412 v ii) (ite (= i ii) e (ho_6412 u ii)))))))))) (let ((_let_8373 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6412 x z) (ho_6412 y z)))) (= x y))))) (let ((_let_8374 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_5412 v ii) (ite (= i ii) e (ho_5412 u ii)))))))))) (let ((_let_8375 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_5412 x z) (ho_5412 y z)))) (= x y))))) (let ((_let_8376 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit Bool tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit Bool tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_8896 v ii) (ite (= i ii) e (ho_8896 u ii)))))))))) (let ((_let_8377 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit Bool tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit Bool tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_8896 x z) (ho_8896 y z)))) (= x y))))) (let ((_let_8378 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_7691 v ii) (ite (= i ii) e (ho_7691 u ii)))))))))) (let ((_let_8379 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_7691 x z) (ho_7691 y z)))) (= x y))))) (let ((_let_8380 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_8469 v ii) (ite (= i ii) e (ho_8469 u ii)))))))))) (let ((_let_8381 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_8469 x z) (ho_8469 y z)))) (= x y))))) (let ((_let_8382 (forall ((u |u_(-> tptp.int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_5432 v ii) (ite (= i ii) e (ho_5432 u ii)))))))))) (let ((_let_8383 (forall ((x |u_(-> tptp.int tptp.int tptp.int)|) (y |u_(-> tptp.int tptp.int tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_5432 x z) (ho_5432 y z)))) (= x y))))) (let ((_let_8384 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10207 v ii) (ite (= i ii) e (ho_10207 u ii)))))))))) (let ((_let_8385 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10207 x z) (ho_10207 y z)))) (= x y))))) (let ((_let_8386 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7050 v ii) (ite (= i ii) e (ho_7050 u ii)))))))))) (let ((_let_8387 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7050 x z) (ho_7050 y z)))) (= x y))))) (let ((_let_8388 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_nat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_nat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.nat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_10454 v ii) (ite (= i ii) e (ho_10454 u ii)))))))))) (let ((_let_8389 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.set_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_10454 x z) (ho_10454 y z)))) (= x y))))) (let ((_let_8390 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10599 v ii) (ite (= i ii) e (ho_10599 u ii)))))))))) (let ((_let_8391 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10599 x z) (ho_10599 y z)))) (= x y))))) (let ((_let_8392 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5421 v ii) (ite (= i ii) e (ho_5421 u ii)))))))))) (let ((_let_8393 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5421 x z) (ho_5421 y z)))) (= x y))))) (let ((_let_8394 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_14758 v ii) (ite (= i ii) e (ho_14758 u ii)))))))))) (let ((_let_8395 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_14758 x z) (ho_14758 y z)))) (= x y))))) (let ((_let_8396 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|) (e |u_(-> tptp.nat tptp.char tptp.nat)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_7207 v ii) (ite (= i ii) e (ho_7207 u ii)))))))))) (let ((_let_8397 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_7207 x z) (ho_7207 y z)))) (= x y))))) (let ((_let_8398 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (= (ho_12555 v ii) (ite (= i ii) e (ho_12555 u ii)))))))))) (let ((_let_8399 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat)_ tptp.product_prod_int_int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_num)|)) (= (ho_12555 x z) (ho_12555 y z)))) (= x y))))) (let ((_let_8400 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8627 v ii) (ite (= i ii) e (ho_8627 u ii)))))))))) (let ((_let_8401 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8627 x z) (ho_8627 y z)))) (= x y))))) (let ((_let_8402 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (= (ho_5430 v ii) (ite (= i ii) e (ho_5430 u ii)))))))))) (let ((_let_8403 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.int tptp.int)|)) (= (ho_5430 x z) (ho_5430 y z)))) (= x y))))) (let ((_let_8404 (forall ((u |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (e tptp.produc8967755806399881310ar_int) (i tptp.produc414006230660905482ar_rat)) (not (forall ((v |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (not (forall ((ii tptp.produc414006230660905482ar_rat)) (= (ho_16034 v ii) (ite (= i ii) e (ho_16034 u ii)))))))))) (let ((_let_8405 (forall ((x |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (y |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (or (not (forall ((z tptp.produc414006230660905482ar_rat)) (= (ho_16034 x z) (ho_16034 y z)))) (= x y))))) (let ((_let_8406 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7351 v ii) (ite (= i ii) e (ho_7351 u ii)))))))))) (let ((_let_8407 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7351 x z) (ho_7351 y z)))) (= x y))))) (let ((_let_8408 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10758 v ii) (ite (= i ii) e (ho_10758 u ii)))))))))) (let ((_let_8409 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10758 x z) (ho_10758 y z)))) (= x y))))) (let ((_let_8410 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8031 v ii) (ite (= i ii) e (ho_8031 u ii)))))))))) (let ((_let_8411 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8031 x z) (ho_8031 y z)))) (= x y))))) (let ((_let_8412 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> tptp.num tptp.num Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9743 v ii) (ite (= i ii) e (ho_9743 u ii)))))))))) (let ((_let_8413 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9743 x z) (ho_9743 y z)))) (= x y))))) (let ((_let_8414 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|) (e tptp.set_Pr4607231638325966922it_rat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15419 v ii) (ite (= i ii) e (ho_15419 u ii)))))))))) (let ((_let_8415 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|) (y |u_(-> tptp.set_nat tptp.set_Pr4607231638325966922it_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15419 x z) (ho_15419 y z)))) (= x y))))) (let ((_let_8416 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5972 v ii) (ite (= i ii) e (ho_5972 u ii)))))))))) (let ((_let_8417 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_5972 x z) (ho_5972 y z)))) (= x y))))) (let ((_let_8418 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10076 v ii) (ite (= i ii) e (ho_10076 u ii)))))))))) (let ((_let_8419 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10076 x z) (ho_10076 y z)))) (= x y))))) (let ((_let_8420 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7146 v ii) (ite (= i ii) e (ho_7146 u ii)))))))))) (let ((_let_8421 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7146 x z) (ho_7146 y z)))) (= x y))))) (let ((_let_8422 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_o)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_o)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_4569 v ii) (ite (= i ii) e (ho_4569 u ii)))))))))) (let ((_let_8423 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se7855581050983116737at_nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_4569 x z) (ho_4569 y z)))) (= x y))))) (let ((_let_8424 (forall ((u |u_(-> tptp.int tptp.num)|) (e tptp.num) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.num)|)) (not (forall ((ii tptp.int)) (= (ho_5439 v ii) (ite (= i ii) e (ho_5439 u ii)))))))))) (let ((_let_8425 (forall ((x |u_(-> tptp.int tptp.num)|) (y |u_(-> tptp.int tptp.num)|)) (or (not (forall ((z tptp.int)) (= (ho_5439 x z) (ho_5439 y z)))) (= x y))))) (let ((_let_8426 (forall ((u |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7257 v ii) (ite (= i ii) e (ho_7257 u ii)))))))))) (let ((_let_8427 (forall ((x |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7257 x z) (ho_7257 y z)))) (= x y))))) (let ((_let_8428 (forall ((u |u_(-> Bool tptp.num tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num tptp.num)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.num tptp.num tptp.num)|)) (not (forall ((ii Bool)) (= (ho_5449 v ii) (ite (= i ii) e (ho_5449 u ii)))))))))) (let ((_let_8429 (forall ((x |u_(-> Bool tptp.num tptp.num tptp.num)|) (y |u_(-> Bool tptp.num tptp.num tptp.num)|)) (or (not (forall ((z Bool)) (= (ho_5449 x z) (ho_5449 y z)))) (= x y))))) (let ((_let_8430 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16033 v ii) (ite (= i ii) e (ho_16033 u ii)))))))))) (let ((_let_8431 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16033 x z) (ho_16033 y z)))) (= x y))))) (let ((_let_8432 (forall ((u |u_(-> tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|) (e tptp.set_Pr7669914128964046860_nat_o) (i tptp.set_se7255092946006855566_nat_o)) (not (forall ((v |u_(-> tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|)) (not (forall ((ii tptp.set_se7255092946006855566_nat_o)) (= (ho_9013 v ii) (ite (= i ii) e (ho_9013 u ii)))))))))) (let ((_let_8433 (forall ((x |u_(-> tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|) (y |u_(-> tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|)) (or (not (forall ((z tptp.set_se7255092946006855566_nat_o)) (= (ho_9013 x z) (ho_9013 y z)))) (= x y))))) (let ((_let_8434 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_char tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_char tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.char tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_char tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_10478 v ii) (ite (= i ii) e (ho_10478 u ii)))))))))) (let ((_let_8435 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_char tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ tptp.set_char tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_10478 x z) (ho_10478 y z)))) (= x y))))) (let ((_let_8436 (forall ((u |u_(-> tptp.code_integer tptp.code_integer tptp.num)|) (e |u_(-> tptp.code_integer tptp.num)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer tptp.num)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5451 v ii) (ite (= i ii) e (ho_5451 u ii)))))))))) (let ((_let_8437 (forall ((x |u_(-> tptp.code_integer tptp.code_integer tptp.num)|) (y |u_(-> tptp.code_integer tptp.code_integer tptp.num)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5451 x z) (ho_5451 y z)))) (= x y))))) (let ((_let_8438 (forall ((u |u_(-> tptp.set_o tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_rat)|)) (not (forall ((ii tptp.set_o)) (= (ho_7180 v ii) (ite (= i ii) e (ho_7180 u ii)))))))))) (let ((_let_8439 (forall ((x |u_(-> tptp.set_o tptp.set_rat)|) (y |u_(-> tptp.set_o tptp.set_rat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7180 x z) (ho_7180 y z)))) (= x y))))) (let ((_let_8440 (forall ((u |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|) (e |u_(-> tptp.code_integer tptp.nat)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5453 v ii) (ite (= i ii) e (ho_5453 u ii)))))))))) (let ((_let_8441 (forall ((x |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|) (y |u_(-> tptp.code_integer tptp.code_integer tptp.nat)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5453 x z) (ho_5453 y z)))) (= x y))))) (let ((_let_8442 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_6605 v ii) (ite (= i ii) e (ho_6605 u ii)))))))))) (let ((_let_8443 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_6605 x z) (ho_6605 y z)))) (= x y))))) (let ((_let_8444 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_5469 v ii) (ite (= i ii) e (ho_5469 u ii)))))))))) (let ((_let_8445 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_5469 x z) (ho_5469 y z)))) (= x y))))) (let ((_let_8446 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_13975 v ii) (ite (= i ii) e (ho_13975 u ii)))))))))) (let ((_let_8447 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_13975 x z) (ho_13975 y z)))) (= x y))))) (let ((_let_8448 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_6224 v ii) (ite (= i ii) e (ho_6224 u ii)))))))))) (let ((_let_8449 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_Pr7010166363911110284_nat_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (= (ho_6224 x z) (ho_6224 y z)))) (= x y))))) (let ((_let_8450 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8246 v ii) (ite (= i ii) e (ho_8246 u ii)))))))))) (let ((_let_8451 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8246 x z) (ho_8246 y z)))) (= x y))))) (let ((_let_8452 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)_ tptp.set_int_o tptp.set_set_int)|) (e |u_(-> tptp.set_int_o tptp.set_set_int)|) (i |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)_ tptp.set_int_o tptp.set_set_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|)) (= (ho_6192 v ii) (ite (= i ii) e (ho_6192 u ii)))))))))) (let ((_let_8453 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)_ tptp.set_int_o tptp.set_set_int)|) (y |u_(-> _u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)_ tptp.set_int_o tptp.set_set_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|)) (= (ho_6192 x z) (ho_6192 y z)))) (= x y))))) (let ((_let_8454 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5472 v ii) (ite (= i ii) e (ho_5472 u ii)))))))))) (let ((_let_8455 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5472 x z) (ho_5472 y z)))) (= x y))))) (let ((_let_8456 (forall ((u |u_(-> tptp.list_nat tptp.list_nat Bool)|) (e |u_(-> tptp.list_nat Bool)|) (i tptp.list_nat)) (not (forall ((v |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (not (forall ((ii tptp.list_nat)) (= (ho_10428 v ii) (ite (= i ii) e (ho_10428 u ii)))))))))) (let ((_let_8457 (forall ((x |u_(-> tptp.list_nat tptp.list_nat Bool)|) (y |u_(-> tptp.list_nat tptp.list_nat Bool)|)) (or (not (forall ((z tptp.list_nat)) (= (ho_10428 x z) (ho_10428 y z)))) (= x y))))) (let ((_let_8458 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i |u_(-> Bool tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit Bool)|)) (= (ho_13976 v ii) (ite (= i ii) e (ho_13976 u ii)))))))))) (let ((_let_8459 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit Bool)|)) (= (ho_13976 x z) (ho_13976 y z)))) (= x y))))) (let ((_let_8460 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_6271 v ii) (ite (= i ii) e (ho_6271 u ii)))))))))) (let ((_let_8461 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)_ tptp.set_se5479201105039950375at_nat tptp.set_se9180647916752606350_nat_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (= (ho_6271 x z) (ho_6271 y z)))) (= x y))))) (let ((_let_8462 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool Bool Bool)|) (e |u_(-> tptp.set_o Bool Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_7260 v ii) (ite (= i ii) e (ho_7260 u ii)))))))))) (let ((_let_8463 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_o Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_7260 x z) (ho_7260 y z)))) (= x y))))) (let ((_let_8464 (forall ((u |u_(-> tptp.set_char Bool tptp.set_char)|) (e |u_(-> Bool tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char Bool tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8826 v ii) (ite (= i ii) e (ho_8826 u ii)))))))))) (let ((_let_8465 (forall ((x |u_(-> tptp.set_char Bool tptp.set_char)|) (y |u_(-> tptp.set_char Bool tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8826 x z) (ho_8826 y z)))) (= x y))))) (let ((_let_8466 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_5904 v ii) (ite (= i ii) e (ho_5904 u ii)))))))))) (let ((_let_8467 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5904 x z) (ho_5904 y z)))) (= x y))))) (let ((_let_8468 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_5371 v ii) (ite (= i ii) e (ho_5371 u ii)))))))))) (let ((_let_8469 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_5371 x z) (ho_5371 y z)))) (= x y))))) (let ((_let_8470 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5642 v ii) (ite (= i ii) e (ho_5642 u ii)))))))))) (let ((_let_8471 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5642 x z) (ho_5642 y z)))) (= x y))))) (let ((_let_8472 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12362 v ii) (ite (= i ii) e (ho_12362 u ii)))))))))) (let ((_let_8473 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_nat_num tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12362 x z) (ho_12362 y z)))) (= x y))))) (let ((_let_8474 (forall ((u |u_(-> Bool tptp.set_o tptp.set_o tptp.set_o)|) (e |u_(-> tptp.set_o tptp.set_o tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.set_o tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_15387 v ii) (ite (= i ii) e (ho_15387 u ii)))))))))) (let ((_let_8475 (forall ((x |u_(-> Bool tptp.set_o tptp.set_o tptp.set_o)|) (y |u_(-> Bool tptp.set_o tptp.set_o tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_15387 x z) (ho_15387 y z)))) (= x y))))) (let ((_let_8476 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_set_nat tptp.nat Bool)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_6949 v ii) (ite (= i ii) e (ho_6949 u ii)))))))))) (let ((_let_8477 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_6949 x z) (ho_6949 y z)))) (= x y))))) (let ((_let_8478 (forall ((u |u_(-> _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|) (e |u_(-> tptp.set_num tptp.set_int)|) (i |u_(-> tptp.set_num tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_num tptp.set_nat)|)) (= (ho_15639 v ii) (ite (= i ii) e (ho_15639 u ii)))))))))) (let ((_let_8479 (forall ((x |u_(-> _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_num tptp.set_nat)_ tptp.set_num tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_num tptp.set_nat)|)) (= (ho_15639 x z) (ho_15639 y z)))) (= x y))))) (let ((_let_8480 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|) (e |u_(-> tptp.num tptp.nat tptp.num)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_7325 v ii) (ite (= i ii) e (ho_7325 u ii)))))))))) (let ((_let_8481 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_7325 x z) (ho_7325 y z)))) (= x y))))) (let ((_let_8482 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5624 v ii) (ite (= i ii) e (ho_5624 u ii)))))))))) (let ((_let_8483 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5624 x z) (ho_5624 y z)))) (= x y))))) (let ((_let_8484 (forall ((u |u_(-> _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|) (e |u_(-> tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.rat)|)) (= (ho_13770 v ii) (ite (= i ii) e (ho_13770 u ii)))))))))) (let ((_let_8485 (forall ((x |u_(-> _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.rat)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.rat)|)) (= (ho_13770 x z) (ho_13770 y z)))) (= x y))))) (let ((_let_8486 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5506 v ii) (ite (= i ii) e (ho_5506 u ii)))))))))) (let ((_let_8487 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5506 x z) (ho_5506 y z)))) (= x y))))) (let ((_let_8488 (forall ((u |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|) (e |u_(-> tptp.produc2963269191615333738nteger tptp.num)|) (i |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|)) (not (forall ((ii |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (= (ho_12680 v ii) (ite (= i ii) e (ho_12680 u ii)))))))))) (let ((_let_8489 (forall ((x |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|) (y |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ tptp.produc2963269191615333738nteger tptp.num)|)) (or (not (forall ((z |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (= (ho_12680 x z) (ho_12680 y z)))) (= x y))))) (let ((_let_8490 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_6820 v ii) (ite (= i ii) e (ho_6820 u ii)))))))))) (let ((_let_8491 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.nat)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_6820 x z) (ho_6820 y z)))) (= x y))))) (let ((_let_8492 (forall ((u |u_(-> tptp.rat tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.rat)) (= (ho_10516 v ii) (ite (= i ii) e (ho_10516 u ii)))))))))) (let ((_let_8493 (forall ((x |u_(-> tptp.rat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.rat)) (= (ho_10516 x z) (ho_10516 y z)))) (= x y))))) (let ((_let_8494 (forall ((u |u_(-> tptp.nat tptp.num tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.nat)) (= (ho_5539 v ii) (ite (= i ii) e (ho_5539 u ii)))))))))) (let ((_let_8495 (forall ((x |u_(-> tptp.nat tptp.num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.nat tptp.num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_5539 x z) (ho_5539 y z)))) (= x y))))) (let ((_let_8496 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_10360 v ii) (ite (= i ii) e (ho_10360 u ii)))))))))) (let ((_let_8497 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_10360 x z) (ho_10360 y z)))) (= x y))))) (let ((_let_8498 (forall ((u |u_(-> tptp.nat tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.rat tptp.nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_8101 v ii) (ite (= i ii) e (ho_8101 u ii)))))))))) (let ((_let_8499 (forall ((x |u_(-> tptp.nat tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_8101 x z) (ho_8101 y z)))) (= x y))))) (let ((_let_8500 (forall ((u |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.num)) (= (ho_5540 v ii) (ite (= i ii) e (ho_5540 u ii)))))))))) (let ((_let_8501 (forall ((x |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.num tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.num)) (= (ho_5540 x z) (ho_5540 y z)))) (= x y))))) (let ((_let_8502 (forall ((u |u_(-> tptp.set_num tptp.set_num)|) (e tptp.set_num) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.set_num)|)) (not (forall ((ii tptp.set_num)) (= (ho_8887 v ii) (ite (= i ii) e (ho_8887 u ii)))))))))) (let ((_let_8503 (forall ((x |u_(-> tptp.set_num tptp.set_num)|) (y |u_(-> tptp.set_num tptp.set_num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_8887 x z) (ho_8887 y z)))) (= x y))))) (let ((_let_8504 (forall ((u |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|) (e |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|) (i |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (= (ho_13427 v ii) (ite (= i ii) e (ho_13427 u ii)))))))))) (let ((_let_8505 (forall ((x |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z |u_(-> tptp.produc414006230660905482ar_rat tptp.produc143505574896075907r_char)|)) (= (ho_13427 x z) (ho_13427 y z)))) (= x y))))) (let ((_let_8506 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_5289 v ii) (ite (= i ii) e (ho_5289 u ii)))))))))) (let ((_let_8507 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_5289 x z) (ho_5289 y z)))) (= x y))))) (let ((_let_8508 (forall ((u |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_set_o tptp.set_set_o)|) (e |u_(-> tptp.set_set_o tptp.set_set_o)|) (i |u_(-> tptp.set_o tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_set_o tptp.set_set_o)|)) (not (forall ((ii |u_(-> tptp.set_o tptp.set_o)|)) (= (ho_15152 v ii) (ite (= i ii) e (ho_15152 u ii)))))))))) (let ((_let_8509 (forall ((x |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_set_o tptp.set_set_o)|) (y |u_(-> _u_(-> tptp.set_o tptp.set_o)_ tptp.set_set_o tptp.set_set_o)|)) (or (not (forall ((z |u_(-> tptp.set_o tptp.set_o)|)) (= (ho_15152 x z) (ho_15152 y z)))) (= x y))))) (let ((_let_8510 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12265 v ii) (ite (= i ii) e (ho_12265 u ii)))))))))) (let ((_let_8511 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_12265 x z) (ho_12265 y z)))) (= x y))))) (let ((_let_8512 (forall ((u |u_(-> tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5579 v ii) (ite (= i ii) e (ho_5579 u ii)))))))))) (let ((_let_8513 (forall ((x |u_(-> tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_nat tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5579 x z) (ho_5579 y z)))) (= x y))))) (let ((_let_8514 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat Bool)|) (e |u_(-> tptp.set_set_nat Bool)|) (i |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_15297 v ii) (ite (= i ii) e (ho_15297 u ii)))))))))) (let ((_let_8515 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat Bool)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ tptp.set_set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_15297 x z) (ho_15297 y z)))) (= x y))))) (let ((_let_8516 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7668 v ii) (ite (= i ii) e (ho_7668 u ii)))))))))) (let ((_let_8517 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7668 x z) (ho_7668 y z)))) (= x y))))) (let ((_let_8518 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|) (e |u_(-> tptp.nat tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7290 v ii) (ite (= i ii) e (ho_7290 u ii)))))))))) (let ((_let_8519 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7290 x z) (ho_7290 y z)))) (= x y))))) (let ((_let_8520 (forall ((u |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.char tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.int)|)) (= (ho_13502 v ii) (ite (= i ii) e (ho_13502 u ii)))))))))) (let ((_let_8521 (forall ((x |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.int)|)) (= (ho_13502 x z) (ho_13502 y z)))) (= x y))))) (let ((_let_8522 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5551 v ii) (ite (= i ii) e (ho_5551 u ii)))))))))) (let ((_let_8523 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5551 x z) (ho_5551 y z)))) (= x y))))) (let ((_let_8524 (forall ((u |u_(-> tptp.set_o tptp.set_set_Product_unit)|) (e tptp.set_set_Product_unit) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_Product_unit)|)) (not (forall ((ii tptp.set_o)) (= (ho_15068 v ii) (ite (= i ii) e (ho_15068 u ii)))))))))) (let ((_let_8525 (forall ((x |u_(-> tptp.set_o tptp.set_set_Product_unit)|) (y |u_(-> tptp.set_o tptp.set_set_Product_unit)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15068 x z) (ho_15068 y z)))) (= x y))))) (let ((_let_8526 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_14738 v ii) (ite (= i ii) e (ho_14738 u ii)))))))))) (let ((_let_8527 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_14738 x z) (ho_14738 y z)))) (= x y))))) (let ((_let_8528 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5556 v ii) (ite (= i ii) e (ho_5556 u ii)))))))))) (let ((_let_8529 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5556 x z) (ho_5556 y z)))) (= x y))))) (let ((_let_8530 (forall ((u |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (e tptp.product_prod_nat_o) (i tptp.product_prod_int_nat)) (not (forall ((v |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (not (forall ((ii tptp.product_prod_int_nat)) (= (ho_12609 v ii) (ite (= i ii) e (ho_12609 u ii)))))))))) (let ((_let_8531 (forall ((x |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|) (y |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_o)|)) (or (not (forall ((z tptp.product_prod_int_nat)) (= (ho_12609 x z) (ho_12609 y z)))) (= x y))))) (let ((_let_8532 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8648 v ii) (ite (= i ii) e (ho_8648 u ii)))))))))) (let ((_let_8533 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8648 x z) (ho_8648 y z)))) (= x y))))) (let ((_let_8534 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|) (e |u_(-> tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12471 v ii) (ite (= i ii) e (ho_12471 u ii)))))))))) (let ((_let_8535 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.produc2296667697112141421t_unit tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_12471 x z) (ho_12471 y z)))) (= x y))))) (let ((_let_8536 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10161 v ii) (ite (= i ii) e (ho_10161 u ii)))))))))) (let ((_let_8537 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10161 x z) (ho_10161 y z)))) (= x y))))) (let ((_let_8538 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_set_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4944 v ii) (ite (= i ii) e (ho_4944 u ii)))))))))) (let ((_let_8539 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4944 x z) (ho_4944 y z)))) (= x y))))) (let ((_let_8540 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|) (e |u_(-> Bool tptp.nat tptp.nat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_8116 v ii) (ite (= i ii) e (ho_8116 u ii)))))))))) (let ((_let_8541 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_8116 x z) (ho_8116 y z)))) (= x y))))) (let ((_let_8542 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|) (e |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (= (ho_13245 v ii) (ite (= i ii) e (ho_13245 u ii)))))))))) (let ((_let_8543 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.product_prod_o_nat)|)) (= (ho_13245 x z) (ho_13245 y z)))) (= x y))))) (let ((_let_8544 (forall ((u |u_(-> Bool tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii Bool)) (= (ho_5554 v ii) (ite (= i ii) e (ho_5554 u ii)))))))))) (let ((_let_8545 (forall ((x |u_(-> Bool tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> Bool tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z Bool)) (= (ho_5554 x z) (ho_5554 y z)))) (= x y))))) (let ((_let_8546 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_12513 v ii) (ite (= i ii) e (ho_12513 u ii)))))))))) (let ((_let_8547 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.num)_ tptp.product_prod_o_nat tptp.product_prod_o_num)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_12513 x z) (ho_12513 y z)))) (= x y))))) (let ((_let_8548 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5734 v ii) (ite (= i ii) e (ho_5734 u ii)))))))))) (let ((_let_8549 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5734 x z) (ho_5734 y z)))) (= x y))))) (let ((_let_8550 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7592 v ii) (ite (= i ii) e (ho_7592 u ii)))))))))) (let ((_let_8551 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7592 x z) (ho_7592 y z)))) (= x y))))) (let ((_let_8552 (forall ((u |u_(-> tptp.set_int_num _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i tptp.set_int_num)) (not (forall ((v |u_(-> tptp.set_int_num _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii tptp.set_int_num)) (= (ho_14306 v ii) (ite (= i ii) e (ho_14306 u ii)))))))))) (let ((_let_8553 (forall ((x |u_(-> tptp.set_int_num _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> tptp.set_int_num _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z tptp.set_int_num)) (= (ho_14306 x z) (ho_14306 y z)))) (= x y))))) (let ((_let_8554 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5876 v ii) (ite (= i ii) e (ho_5876 u ii)))))))))) (let ((_let_8555 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5876 x z) (ho_5876 y z)))) (= x y))))) (let ((_let_8556 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_16032 v ii) (ite (= i ii) e (ho_16032 u ii)))))))))) (let ((_let_8557 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_16032 x z) (ho_16032 y z)))) (= x y))))) (let ((_let_8558 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10102 v ii) (ite (= i ii) e (ho_10102 u ii)))))))))) (let ((_let_8559 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10102 x z) (ho_10102 y z)))) (= x y))))) (let ((_let_8560 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> tptp.num tptp.num Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_11372 v ii) (ite (= i ii) e (ho_11372 u ii)))))))))) (let ((_let_8561 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_11372 x z) (ho_11372 y z)))) (= x y))))) (let ((_let_8562 (forall ((u |u_(-> tptp.int tptp.set_int tptp.set_int)|) (e |u_(-> tptp.set_int tptp.set_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.set_int)|)) (not (forall ((ii tptp.int)) (= (ho_4912 v ii) (ite (= i ii) e (ho_4912 u ii)))))))))) (let ((_let_8563 (forall ((x |u_(-> tptp.int tptp.set_int tptp.set_int)|) (y |u_(-> tptp.int tptp.set_int tptp.set_int)|)) (or (not (forall ((z tptp.int)) (= (ho_4912 x z) (ho_4912 y z)))) (= x y))))) (let ((_let_8564 (forall ((u |u_(-> tptp.set_o tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_4699 v ii) (ite (= i ii) e (ho_4699 u ii)))))))))) (let ((_let_8565 (forall ((x |u_(-> tptp.set_o tptp.set_set_nat)|) (y |u_(-> tptp.set_o tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_4699 x z) (ho_4699 y z)))) (= x y))))) (let ((_let_8566 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_10601 v ii) (ite (= i ii) e (ho_10601 u ii)))))))))) (let ((_let_8567 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_10601 x z) (ho_10601 y z)))) (= x y))))) (let ((_let_8568 (forall ((u |u_(-> tptp.produc652263959640188542_nat_o Bool)|) (e Bool) (i tptp.produc652263959640188542_nat_o)) (not (forall ((v |u_(-> tptp.produc652263959640188542_nat_o Bool)|)) (not (forall ((ii tptp.produc652263959640188542_nat_o)) (= (ho_14671 v ii) (ite (= i ii) e (ho_14671 u ii)))))))))) (let ((_let_8569 (forall ((x |u_(-> tptp.produc652263959640188542_nat_o Bool)|) (y |u_(-> tptp.produc652263959640188542_nat_o Bool)|)) (or (not (forall ((z tptp.produc652263959640188542_nat_o)) (= (ho_14671 x z) (ho_14671 y z)))) (= x y))))) (let ((_let_8570 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10854 v ii) (ite (= i ii) e (ho_10854 u ii)))))))))) (let ((_let_8571 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10854 x z) (ho_10854 y z)))) (= x y))))) (let ((_let_8572 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6880 v ii) (ite (= i ii) e (ho_6880 u ii)))))))))) (let ((_let_8573 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6880 x z) (ho_6880 y z)))) (= x y))))) (let ((_let_8574 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_15308 v ii) (ite (= i ii) e (ho_15308 u ii)))))))))) (let ((_let_8575 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_15308 x z) (ho_15308 y z)))) (= x y))))) (let ((_let_8576 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7658 v ii) (ite (= i ii) e (ho_7658 u ii)))))))))) (let ((_let_8577 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7658 x z) (ho_7658 y z)))) (= x y))))) (let ((_let_8578 (forall ((u |u_(-> tptp.set_int tptp.rat tptp.set_int)|) (e |u_(-> tptp.rat tptp.set_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.rat tptp.set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_10011 v ii) (ite (= i ii) e (ho_10011 u ii)))))))))) (let ((_let_8579 (forall ((x |u_(-> tptp.set_int tptp.rat tptp.set_int)|) (y |u_(-> tptp.set_int tptp.rat tptp.set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10011 x z) (ho_10011 y z)))) (= x y))))) (let ((_let_8580 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_10344 v ii) (ite (= i ii) e (ho_10344 u ii)))))))))) (let ((_let_8581 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_10344 x z) (ho_10344 y z)))) (= x y))))) (let ((_let_8582 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_14524 v ii) (ite (= i ii) e (ho_14524 u ii)))))))))) (let ((_let_8583 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_14524 x z) (ho_14524 y z)))) (= x y))))) (let ((_let_8584 (forall ((u |u_(-> tptp.set_o_o tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_o_o)) (not (forall ((v |u_(-> tptp.set_o_o tptp.set_set_o)|)) (not (forall ((ii tptp.set_o_o)) (= (ho_6207 v ii) (ite (= i ii) e (ho_6207 u ii)))))))))) (let ((_let_8585 (forall ((x |u_(-> tptp.set_o_o tptp.set_set_o)|) (y |u_(-> tptp.set_o_o tptp.set_set_o)|)) (or (not (forall ((z tptp.set_o_o)) (= (ho_6207 x z) (ho_6207 y z)))) (= x y))))) (let ((_let_8586 (forall ((u |u_(-> tptp.set_Co4375521073081744395nteger Bool)|) (e Bool) (i tptp.set_Co4375521073081744395nteger)) (not (forall ((v |u_(-> tptp.set_Co4375521073081744395nteger Bool)|)) (not (forall ((ii tptp.set_Co4375521073081744395nteger)) (= (ho_15334 v ii) (ite (= i ii) e (ho_15334 u ii)))))))))) (let ((_let_8587 (forall ((x |u_(-> tptp.set_Co4375521073081744395nteger Bool)|) (y |u_(-> tptp.set_Co4375521073081744395nteger Bool)|)) (or (not (forall ((z tptp.set_Co4375521073081744395nteger)) (= (ho_15334 x z) (ho_15334 y z)))) (= x y))))) (let ((_let_8588 (forall ((u |u_(-> tptp.nat tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.rat)|)) (not (forall ((ii tptp.nat)) (= (ho_6613 v ii) (ite (= i ii) e (ho_6613 u ii)))))))))) (let ((_let_8589 (forall ((x |u_(-> tptp.nat tptp.nat tptp.rat)|) (y |u_(-> tptp.nat tptp.nat tptp.rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6613 x z) (ho_6613 y z)))) (= x y))))) (let ((_let_8590 (forall ((u |u_(-> tptp.set_int tptp.set_Pr8218934625190621173um_num)|) (e tptp.set_Pr8218934625190621173um_num) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Pr8218934625190621173um_num)|)) (not (forall ((ii tptp.set_int)) (= (ho_10494 v ii) (ite (= i ii) e (ho_10494 u ii)))))))))) (let ((_let_8591 (forall ((x |u_(-> tptp.set_int tptp.set_Pr8218934625190621173um_num)|) (y |u_(-> tptp.set_int tptp.set_Pr8218934625190621173um_num)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10494 x z) (ho_10494 y z)))) (= x y))))) (let ((_let_8592 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.product_unit Bool Bool)|) (e |u_(-> tptp.set_Product_unit tptp.product_unit Bool Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.product_unit Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7509 v ii) (ite (= i ii) e (ho_7509 u ii)))))))))) (let ((_let_8593 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.product_unit Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.product_unit Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7509 x z) (ho_7509 y z)))) (= x y))))) (let ((_let_8594 (forall ((u |u_(-> tptp.set_Product_unit Bool)|) (e Bool) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5582 v ii) (ite (= i ii) e (ho_5582 u ii)))))))))) (let ((_let_8595 (forall ((x |u_(-> tptp.set_Product_unit Bool)|) (y |u_(-> tptp.set_Product_unit Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5582 x z) (ho_5582 y z)))) (= x y))))) (let ((_let_8596 (forall ((u |u_(-> tptp.set_char tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_char)) (= (ho_10479 v ii) (ite (= i ii) e (ho_10479 u ii)))))))))) (let ((_let_8597 (forall ((x |u_(-> tptp.set_char tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_char tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_char)) (= (ho_10479 x z) (ho_10479 y z)))) (= x y))))) (let ((_let_8598 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_nat tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_4564 v ii) (ite (= i ii) e (ho_4564 u ii)))))))))) (let ((_let_8599 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_4564 x z) (ho_4564 y z)))) (= x y))))) (let ((_let_8600 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13072 v ii) (ite (= i ii) e (ho_13072 u ii)))))))))) (let ((_let_8601 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13072 x z) (ho_13072 y z)))) (= x y))))) (let ((_let_8602 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_Product_unit tptp.set_set_char)|) (e |u_(-> tptp.set_Product_unit tptp.set_set_char)|) (i |u_(-> tptp.product_unit tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_Product_unit tptp.set_set_char)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_char)|)) (= (ho_15012 v ii) (ite (= i ii) e (ho_15012 u ii)))))))))) (let ((_let_8603 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_Product_unit tptp.set_set_char)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.set_Product_unit tptp.set_set_char)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_char)|)) (= (ho_15012 x z) (ho_15012 y z)))) (= x y))))) (let ((_let_8604 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_13531 v ii) (ite (= i ii) e (ho_13531 u ii)))))))))) (let ((_let_8605 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_13531 x z) (ho_13531 y z)))) (= x y))))) (let ((_let_8606 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5584 v ii) (ite (= i ii) e (ho_5584 u ii)))))))))) (let ((_let_8607 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5584 x z) (ho_5584 y z)))) (= x y))))) (let ((_let_8608 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_char tptp.set_Product_unit)|) (e |u_(-> tptp.set_char tptp.set_Product_unit)|) (i |u_(-> tptp.char tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_char tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_unit)|)) (= (ho_15006 v ii) (ite (= i ii) e (ho_15006 u ii)))))))))) (let ((_let_8609 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_char tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.char tptp.product_unit)_ tptp.set_char tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_unit)|)) (= (ho_15006 x z) (ho_15006 y z)))) (= x y))))) (let ((_let_8610 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5733 v ii) (ite (= i ii) e (ho_5733 u ii)))))))))) (let ((_let_8611 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5733 x z) (ho_5733 y z)))) (= x y))))) (let ((_let_8612 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4497 v ii) (ite (= i ii) e (ho_4497 u ii)))))))))) (let ((_let_8613 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4497 x z) (ho_4497 y z)))) (= x y))))) (let ((_let_8614 (forall ((u |u_(-> tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_5590 v ii) (ite (= i ii) e (ho_5590 u ii)))))))))) (let ((_let_8615 (forall ((x |u_(-> tptp.set_int tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_int tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_5590 x z) (ho_5590 y z)))) (= x y))))) (let ((_let_8616 (forall ((u |u_(-> Bool tptp.set_int)|) (e tptp.set_int) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_int)|)) (not (forall ((ii Bool)) (= (ho_5598 v ii) (ite (= i ii) e (ho_5598 u ii)))))))))) (let ((_let_8617 (forall ((x |u_(-> Bool tptp.set_int)|) (y |u_(-> Bool tptp.set_int)|)) (or (not (forall ((z Bool)) (= (ho_5598 x z) (ho_5598 y z)))) (= x y))))) (let ((_let_8618 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_int)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8712 v ii) (ite (= i ii) e (ho_8712 u ii)))))))))) (let ((_let_8619 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_int)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_int)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8712 x z) (ho_8712 y z)))) (= x y))))) (let ((_let_8620 (forall ((u |u_(-> tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4936 v ii) (ite (= i ii) e (ho_4936 u ii)))))))))) (let ((_let_8621 (forall ((x |u_(-> tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4936 x z) (ho_4936 y z)))) (= x y))))) (let ((_let_8622 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_5596 v ii) (ite (= i ii) e (ho_5596 u ii)))))))))) (let ((_let_8623 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_5596 x z) (ho_5596 y z)))) (= x y))))) (let ((_let_8624 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12911 v ii) (ite (= i ii) e (ho_12911 u ii)))))))))) (let ((_let_8625 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12911 x z) (ho_12911 y z)))) (= x y))))) (let ((_let_8626 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|) (e |u_(-> tptp.product_unit tptp.int)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8726 v ii) (ite (= i ii) e (ho_8726 u ii)))))))))) (let ((_let_8627 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8726 x z) (ho_8726 y z)))) (= x y))))) (let ((_let_8628 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_4515 v ii) (ite (= i ii) e (ho_4515 u ii)))))))))) (let ((_let_8629 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_4515 x z) (ho_4515 y z)))) (= x y))))) (let ((_let_8630 (forall ((u |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_10805 v ii) (ite (= i ii) e (ho_10805 u ii)))))))))) (let ((_let_8631 (forall ((x |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.int _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_10805 x z) (ho_10805 y z)))) (= x y))))) (let ((_let_8632 (forall ((u |u_(-> tptp.nat tptp.product_unit tptp.produc526117512892780850t_unit)|) (e |u_(-> tptp.product_unit tptp.produc526117512892780850t_unit)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_unit tptp.produc526117512892780850t_unit)|)) (not (forall ((ii tptp.nat)) (= (ho_15175 v ii) (ite (= i ii) e (ho_15175 u ii)))))))))) (let ((_let_8633 (forall ((x |u_(-> tptp.nat tptp.product_unit tptp.produc526117512892780850t_unit)|) (y |u_(-> tptp.nat tptp.product_unit tptp.produc526117512892780850t_unit)|)) (or (not (forall ((z tptp.nat)) (= (ho_15175 x z) (ho_15175 y z)))) (= x y))))) (let ((_let_8634 (forall ((u |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (e |u_(-> tptp.num tptp.option_num)|) (i |u_(-> tptp.num tptp.option_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.option_num)|)) (= (ho_4838 v ii) (ite (= i ii) e (ho_4838 u ii)))))))))) (let ((_let_8635 (forall ((x |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|) (y |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.num tptp.option_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.option_num)|)) (= (ho_4838 x z) (ho_4838 y z)))) (= x y))))) (let ((_let_8636 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_7060 v ii) (ite (= i ii) e (ho_7060 u ii)))))))))) (let ((_let_8637 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_7060 x z) (ho_7060 y z)))) (= x y))))) (let ((_let_8638 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4938 v ii) (ite (= i ii) e (ho_4938 u ii)))))))))) (let ((_let_8639 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4938 x z) (ho_4938 y z)))) (= x y))))) (let ((_let_8640 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_6753 v ii) (ite (= i ii) e (ho_6753 u ii)))))))))) (let ((_let_8641 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_6753 x z) (ho_6753 y z)))) (= x y))))) (let ((_let_8642 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_12637 v ii) (ite (= i ii) e (ho_12637 u ii)))))))))) (let ((_let_8643 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_12637 x z) (ho_12637 y z)))) (= x y))))) (let ((_let_8644 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_10559 v ii) (ite (= i ii) e (ho_10559 u ii)))))))))) (let ((_let_8645 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_10559 x z) (ho_10559 y z)))) (= x y))))) (let ((_let_8646 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7768 v ii) (ite (= i ii) e (ho_7768 u ii)))))))))) (let ((_let_8647 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7768 x z) (ho_7768 y z)))) (= x y))))) (let ((_let_8648 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.set_o tptp.int Bool)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_8694 v ii) (ite (= i ii) e (ho_8694 u ii)))))))))) (let ((_let_8649 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_8694 x z) (ho_8694 y z)))) (= x y))))) (let ((_let_8650 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_9547 v ii) (ite (= i ii) e (ho_9547 u ii)))))))))) (let ((_let_8651 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_9547 x z) (ho_9547 y z)))) (= x y))))) (let ((_let_8652 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4995 v ii) (ite (= i ii) e (ho_4995 u ii)))))))))) (let ((_let_8653 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4995 x z) (ho_4995 y z)))) (= x y))))) (let ((_let_8654 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14807 v ii) (ite (= i ii) e (ho_14807 u ii)))))))))) (let ((_let_8655 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (= (ho_14807 x z) (ho_14807 y z)))) (= x y))))) (let ((_let_8656 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_8215 v ii) (ite (= i ii) e (ho_8215 u ii)))))))))) (let ((_let_8657 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_8215 x z) (ho_8215 y z)))) (= x y))))) (let ((_let_8658 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7268 v ii) (ite (= i ii) e (ho_7268 u ii)))))))))) (let ((_let_8659 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit Bool)_ Bool tptp.product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7268 x z) (ho_7268 y z)))) (= x y))))) (let ((_let_8660 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5627 v ii) (ite (= i ii) e (ho_5627 u ii)))))))))) (let ((_let_8661 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.product_prod_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|)) (= (ho_5627 x z) (ho_5627 y z)))) (= x y))))) (let ((_let_8662 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5633 v ii) (ite (= i ii) e (ho_5633 u ii)))))))))) (let ((_let_8663 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5633 x z) (ho_5633 y z)))) (= x y))))) (let ((_let_8664 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (= (ho_12418 v ii) (ite (= i ii) e (ho_12418 u ii)))))))))) (let ((_let_8665 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (= (ho_12418 x z) (ho_12418 y z)))) (= x y))))) (let ((_let_8666 (forall ((u |u_(-> tptp.set_o tptp.set_int)|) (e tptp.set_int) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_int)|)) (not (forall ((ii tptp.set_o)) (= (ho_6100 v ii) (ite (= i ii) e (ho_6100 u ii)))))))))) (let ((_let_8667 (forall ((x |u_(-> tptp.set_o tptp.set_int)|) (y |u_(-> tptp.set_o tptp.set_int)|)) (or (not (forall ((z tptp.set_o)) (= (ho_6100 x z) (ho_6100 y z)))) (= x y))))) (let ((_let_8668 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12994 v ii) (ite (= i ii) e (ho_12994 u ii)))))))))) (let ((_let_8669 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12994 x z) (ho_12994 y z)))) (= x y))))) (let ((_let_8670 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.int)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12728 v ii) (ite (= i ii) e (ho_12728 u ii)))))))))) (let ((_let_8671 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12728 x z) (ho_12728 y z)))) (= x y))))) (let ((_let_8672 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5635 v ii) (ite (= i ii) e (ho_5635 u ii)))))))))) (let ((_let_8673 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5635 x z) (ho_5635 y z)))) (= x y))))) (let ((_let_8674 (forall ((u |u_(-> tptp.set_nat tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5658 v ii) (ite (= i ii) e (ho_5658 u ii)))))))))) (let ((_let_8675 (forall ((x |u_(-> tptp.set_nat tptp.nat tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5658 x z) (ho_5658 y z)))) (= x y))))) (let ((_let_8676 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.nat tptp.set_o)|) (e |u_(-> tptp.set_o tptp.nat tptp.set_o)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.nat tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_6013 v ii) (ite (= i ii) e (ho_6013 u ii)))))))))) (let ((_let_8677 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.nat tptp.set_o)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_o tptp.nat tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_6013 x z) (ho_6013 y z)))) (= x y))))) (let ((_let_8678 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8427 v ii) (ite (= i ii) e (ho_8427 u ii)))))))))) (let ((_let_8679 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8427 x z) (ho_8427 y z)))) (= x y))))) (let ((_let_8680 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5674 v ii) (ite (= i ii) e (ho_5674 u ii)))))))))) (let ((_let_8681 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5674 x z) (ho_5674 y z)))) (= x y))))) (let ((_let_8682 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_11129 v ii) (ite (= i ii) e (ho_11129 u ii)))))))))) (let ((_let_8683 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_11129 x z) (ho_11129 y z)))) (= x y))))) (let ((_let_8684 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4653 v ii) (ite (= i ii) e (ho_4653 u ii)))))))))) (let ((_let_8685 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4653 x z) (ho_4653 y z)))) (= x y))))) (let ((_let_8686 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8616 v ii) (ite (= i ii) e (ho_8616 u ii)))))))))) (let ((_let_8687 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8616 x z) (ho_8616 y z)))) (= x y))))) (let ((_let_8688 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10856 v ii) (ite (= i ii) e (ho_10856 u ii)))))))))) (let ((_let_8689 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10856 x z) (ho_10856 y z)))) (= x y))))) (let ((_let_8690 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6604 v ii) (ite (= i ii) e (ho_6604 u ii)))))))))) (let ((_let_8691 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6604 x z) (ho_6604 y z)))) (= x y))))) (let ((_let_8692 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13024 v ii) (ite (= i ii) e (ho_13024 u ii)))))))))) (let ((_let_8693 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (= (ho_13024 x z) (ho_13024 y z)))) (= x y))))) (let ((_let_8694 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13031 v ii) (ite (= i ii) e (ho_13031 u ii)))))))))) (let ((_let_8695 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (= (ho_13031 x z) (ho_13031 y z)))) (= x y))))) (let ((_let_8696 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5680 v ii) (ite (= i ii) e (ho_5680 u ii)))))))))) (let ((_let_8697 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_5680 x z) (ho_5680 y z)))) (= x y))))) (let ((_let_8698 (forall ((u |u_(-> tptp.code_integer tptp.set_Code_integer Bool)|) (e |u_(-> tptp.set_Code_integer Bool)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.set_Code_integer Bool)|)) (not (forall ((ii tptp.code_integer)) (= (ho_13550 v ii) (ite (= i ii) e (ho_13550 u ii)))))))))) (let ((_let_8699 (forall ((x |u_(-> tptp.code_integer tptp.set_Code_integer Bool)|) (y |u_(-> tptp.code_integer tptp.set_Code_integer Bool)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_13550 x z) (ho_13550 y z)))) (= x y))))) (let ((_let_8700 (forall ((u |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_12889 v ii) (ite (= i ii) e (ho_12889 u ii)))))))))) (let ((_let_8701 (forall ((x |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)|)) (= (ho_12889 x z) (ho_12889 y z)))) (= x y))))) (let ((_let_8702 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10858 v ii) (ite (= i ii) e (ho_10858 u ii)))))))))) (let ((_let_8703 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10858 x z) (ho_10858 y z)))) (= x y))))) (let ((_let_8704 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14715 v ii) (ite (= i ii) e (ho_14715 u ii)))))))))) (let ((_let_8705 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14715 x z) (ho_14715 y z)))) (= x y))))) (let ((_let_8706 (forall ((u |u_(-> tptp.num tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.int tptp.num)|)) (not (forall ((ii tptp.num)) (= (ho_7315 v ii) (ite (= i ii) e (ho_7315 u ii)))))))))) (let ((_let_8707 (forall ((x |u_(-> tptp.num tptp.int tptp.num)|) (y |u_(-> tptp.num tptp.int tptp.num)|)) (or (not (forall ((z tptp.num)) (= (ho_7315 x z) (ho_7315 y z)))) (= x y))))) (let ((_let_8708 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_nat tptp.set_se5479201105039950375at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5054 v ii) (ite (= i ii) e (ho_5054 u ii)))))))))) (let ((_let_8709 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5054 x z) (ho_5054 y z)))) (= x y))))) (let ((_let_8710 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7926 v ii) (ite (= i ii) e (ho_7926 u ii)))))))))) (let ((_let_8711 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7926 x z) (ho_7926 y z)))) (= x y))))) (let ((_let_8712 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_nat tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7746 v ii) (ite (= i ii) e (ho_7746 u ii)))))))))) (let ((_let_8713 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7746 x z) (ho_7746 y z)))) (= x y))))) (let ((_let_8714 (forall ((u |u_(-> tptp.int tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_8879 v ii) (ite (= i ii) e (ho_8879 u ii)))))))))) (let ((_let_8715 (forall ((x |u_(-> tptp.int tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_8879 x z) (ho_8879 y z)))) (= x y))))) (let ((_let_8716 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_6072 v ii) (ite (= i ii) e (ho_6072 u ii)))))))))) (let ((_let_8717 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_6072 x z) (ho_6072 y z)))) (= x y))))) (let ((_let_8718 (forall ((u |u_(-> tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_5691 v ii) (ite (= i ii) e (ho_5691 u ii)))))))))) (let ((_let_8719 (forall ((x |u_(-> tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5691 x z) (ho_5691 y z)))) (= x y))))) (let ((_let_8720 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10169 v ii) (ite (= i ii) e (ho_10169 u ii)))))))))) (let ((_let_8721 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10169 x z) (ho_10169 y z)))) (= x y))))) (let ((_let_8722 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15813 v ii) (ite (= i ii) e (ho_15813 u ii)))))))))) (let ((_let_8723 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15813 x z) (ho_15813 y z)))) (= x y))))) (let ((_let_8724 (forall ((u |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_4873 v ii) (ite (= i ii) e (ho_4873 u ii)))))))))) (let ((_let_8725 (forall ((x |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_4873 x z) (ho_4873 y z)))) (= x y))))) (let ((_let_8726 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5690 v ii) (ite (= i ii) e (ho_5690 u ii)))))))))) (let ((_let_8727 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5690 x z) (ho_5690 y z)))) (= x y))))) (let ((_let_8728 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5693 v ii) (ite (= i ii) e (ho_5693 u ii)))))))))) (let ((_let_8729 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5693 x z) (ho_5693 y z)))) (= x y))))) (let ((_let_8730 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10617 v ii) (ite (= i ii) e (ho_10617 u ii)))))))))) (let ((_let_8731 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10617 x z) (ho_10617 y z)))) (= x y))))) (let ((_let_8732 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|) (e tptp.num) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_12383 v ii) (ite (= i ii) e (ho_12383 u ii)))))))))) (let ((_let_8733 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.num)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_12383 x z) (ho_12383 y z)))) (= x y))))) (let ((_let_8734 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (= (ho_10646 v ii) (ite (= i ii) e (ho_10646 u ii)))))))))) (let ((_let_8735 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (= (ho_10646 x z) (ho_10646 y z)))) (= x y))))) (let ((_let_8736 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (= (ho_13189 v ii) (ite (= i ii) e (ho_13189 u ii)))))))))) (let ((_let_8737 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)_ Bool)|)) (= (ho_13189 x z) (ho_13189 y z)))) (= x y))))) (let ((_let_8738 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.num)_ tptp.produc8923325533196201883nteger tptp.num)|) (e |u_(-> tptp.produc8923325533196201883nteger tptp.num)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.num)_ tptp.produc8923325533196201883nteger tptp.num)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.num)|)) (= (ho_6673 v ii) (ite (= i ii) e (ho_6673 u ii)))))))))) (let ((_let_8739 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.num)_ tptp.produc8923325533196201883nteger tptp.num)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.num)_ tptp.produc8923325533196201883nteger tptp.num)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.num)|)) (= (ho_6673 x z) (ho_6673 y z)))) (= x y))))) (let ((_let_8740 (forall ((u |u_(-> tptp.set_num tptp.set_o)|) (e tptp.set_o) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.set_o)|)) (not (forall ((ii tptp.set_num)) (= (ho_7343 v ii) (ite (= i ii) e (ho_7343 u ii)))))))))) (let ((_let_8741 (forall ((x |u_(-> tptp.set_num tptp.set_o)|) (y |u_(-> tptp.set_num tptp.set_o)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7343 x z) (ho_7343 y z)))) (= x y))))) (let ((_let_8742 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_7026 v ii) (ite (= i ii) e (ho_7026 u ii)))))))))) (let ((_let_8743 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_7026 x z) (ho_7026 y z)))) (= x y))))) (let ((_let_8744 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7142 v ii) (ite (= i ii) e (ho_7142 u ii)))))))))) (let ((_let_8745 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7142 x z) (ho_7142 y z)))) (= x y))))) (let ((_let_8746 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_10447 v ii) (ite (= i ii) e (ho_10447 u ii)))))))))) (let ((_let_8747 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr958786334691620121nt_int Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_10447 x z) (ho_10447 y z)))) (= x y))))) (let ((_let_8748 (forall ((u |u_(-> tptp.int tptp.set_o tptp.int tptp.set_o)|) (e |u_(-> tptp.set_o tptp.int tptp.set_o)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_o tptp.int tptp.set_o)|)) (not (forall ((ii tptp.int)) (= (ho_7519 v ii) (ite (= i ii) e (ho_7519 u ii)))))))))) (let ((_let_8749 (forall ((x |u_(-> tptp.int tptp.set_o tptp.int tptp.set_o)|) (y |u_(-> tptp.int tptp.set_o tptp.int tptp.set_o)|)) (or (not (forall ((z tptp.int)) (= (ho_7519 x z) (ho_7519 y z)))) (= x y))))) (let ((_let_8750 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)_ tptp.set_nat_o tptp.set_set_nat)|) (e |u_(-> tptp.set_nat_o tptp.set_set_nat)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)_ tptp.set_nat_o tptp.set_set_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|)) (= (ho_6184 v ii) (ite (= i ii) e (ho_6184 u ii)))))))))) (let ((_let_8751 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)_ tptp.set_nat_o tptp.set_set_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)_ tptp.set_nat_o tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat)|)) (= (ho_6184 x z) (ho_6184 y z)))) (= x y))))) (let ((_let_8752 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8551 v ii) (ite (= i ii) e (ho_8551 u ii)))))))))) (let ((_let_8753 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8551 x z) (ho_8551 y z)))) (= x y))))) (let ((_let_8754 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|)) (not (forall ((ii tptp.set_o)) (= (ho_8418 v ii) (ite (= i ii) e (ho_8418 u ii)))))))))) (let ((_let_8755 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.product_unit)_ _u_(-> Bool tptp.product_unit)_ Bool tptp.product_unit)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8418 x z) (ho_8418 y z)))) (= x y))))) (let ((_let_8756 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_4520 v ii) (ite (= i ii) e (ho_4520 u ii)))))))))) (let ((_let_8757 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_4520 x z) (ho_4520 y z)))) (= x y))))) (let ((_let_8758 (forall ((u |u_(-> tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5704 v ii) (ite (= i ii) e (ho_5704 u ii)))))))))) (let ((_let_8759 (forall ((x |u_(-> tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Product_unit Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5704 x z) (ho_5704 y z)))) (= x y))))) (let ((_let_8760 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13117 v ii) (ite (= i ii) e (ho_13117 u ii)))))))))) (let ((_let_8761 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.num)_ Bool)|)) (= (ho_13117 x z) (ho_13117 y z)))) (= x y))))) (let ((_let_8762 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_6824 v ii) (ite (= i ii) e (ho_6824 u ii)))))))))) (let ((_let_8763 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_6824 x z) (ho_6824 y z)))) (= x y))))) (let ((_let_8764 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_4906 v ii) (ite (= i ii) e (ho_4906 u ii)))))))))) (let ((_let_8765 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_4906 x z) (ho_4906 y z)))) (= x y))))) (let ((_let_8766 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6795 v ii) (ite (= i ii) e (ho_6795 u ii)))))))))) (let ((_let_8767 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6795 x z) (ho_6795 y z)))) (= x y))))) (let ((_let_8768 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (= (ho_14174 v ii) (ite (= i ii) e (ho_14174 u ii)))))))))) (let ((_let_8769 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.produc8126358835630522215t_unit)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (= (ho_14174 x z) (ho_14174 y z)))) (= x y))))) (let ((_let_8770 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_8679 v ii) (ite (= i ii) e (ho_8679 u ii)))))))))) (let ((_let_8771 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_8679 x z) (ho_8679 y z)))) (= x y))))) (let ((_let_8772 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_9864 v ii) (ite (= i ii) e (ho_9864 u ii)))))))))) (let ((_let_8773 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_o)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_9864 x z) (ho_9864 y z)))) (= x y))))) (let ((_let_8774 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_11941 v ii) (ite (= i ii) e (ho_11941 u ii)))))))))) (let ((_let_8775 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)_ _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_11941 x z) (ho_11941 y z)))) (= x y))))) (let ((_let_8776 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_8473 v ii) (ite (= i ii) e (ho_8473 u ii)))))))))) (let ((_let_8777 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_8473 x z) (ho_8473 y z)))) (= x y))))) (let ((_let_8778 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_10382 v ii) (ite (= i ii) e (ho_10382 u ii)))))))))) (let ((_let_8779 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_10382 x z) (ho_10382 y z)))) (= x y))))) (let ((_let_8780 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_set_nat)|) (e |u_(-> tptp.set_o tptp.set_set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_4698 v ii) (ite (= i ii) e (ho_4698 u ii)))))))))) (let ((_let_8781 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_4698 x z) (ho_4698 y z)))) (= x y))))) (let ((_let_8782 (forall ((u |u_(-> _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|) (e tptp.set_Pr3594552606344371909at_int) (i |u_(-> tptp.rat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.set_int)|)) (= (ho_14440 v ii) (ite (= i ii) e (ho_14440 u ii)))))))))) (let ((_let_8783 (forall ((x |u_(-> _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|) (y |u_(-> _u_(-> tptp.rat tptp.set_int)_ tptp.set_Pr3594552606344371909at_int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.set_int)|)) (= (ho_14440 x z) (ho_14440 y z)))) (= x y))))) (let ((_let_8784 (forall ((u |u_(-> Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii Bool)) (= (ho_5716 v ii) (ite (= i ii) e (ho_5716 u ii)))))))))) (let ((_let_8785 (forall ((x |u_(-> Bool Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> Bool Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z Bool)) (= (ho_5716 x z) (ho_5716 y z)))) (= x y))))) (let ((_let_8786 (forall ((u |u_(-> tptp.set_int tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_set_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_7580 v ii) (ite (= i ii) e (ho_7580 u ii)))))))))) (let ((_let_8787 (forall ((x |u_(-> tptp.set_int tptp.set_set_int)|) (y |u_(-> tptp.set_int tptp.set_set_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7580 x z) (ho_7580 y z)))) (= x y))))) (let ((_let_8788 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|) (e tptp.set_Pr2543308735921124078nt_nat) (i |u_(-> tptp.product_prod_int_int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.set_nat)|)) (= (ho_14628 v ii) (ite (= i ii) e (ho_14628 u ii)))))))))) (let ((_let_8789 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.set_nat)_ tptp.set_Pr2543308735921124078nt_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.set_nat)|)) (= (ho_14628 x z) (ho_14628 y z)))) (= x y))))) (let ((_let_8790 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9731 v ii) (ite (= i ii) e (ho_9731 u ii)))))))))) (let ((_let_8791 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9731 x z) (ho_9731 y z)))) (= x y))))) (let ((_let_8792 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5074 v ii) (ite (= i ii) e (ho_5074 u ii)))))))))) (let ((_let_8793 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5074 x z) (ho_5074 y z)))) (= x y))))) (let ((_let_8794 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5720 v ii) (ite (= i ii) e (ho_5720 u ii)))))))))) (let ((_let_8795 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_5720 x z) (ho_5720 y z)))) (= x y))))) (let ((_let_8796 (forall ((u |u_(-> tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_int tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_7460 v ii) (ite (= i ii) e (ho_7460 u ii)))))))))) (let ((_let_8797 (forall ((x |u_(-> tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|) (y |u_(-> tptp.int tptp.set_nat tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_7460 x z) (ho_7460 y z)))) (= x y))))) (let ((_let_8798 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8181 v ii) (ite (= i ii) e (ho_8181 u ii)))))))))) (let ((_let_8799 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8181 x z) (ho_8181 y z)))) (= x y))))) (let ((_let_8800 (forall ((u |u_(-> tptp.set_Code_integer tptp.set_Code_integer)|) (e tptp.set_Code_integer) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer tptp.set_Code_integer)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_15135 v ii) (ite (= i ii) e (ho_15135 u ii)))))))))) (let ((_let_8801 (forall ((x |u_(-> tptp.set_Code_integer tptp.set_Code_integer)|) (y |u_(-> tptp.set_Code_integer tptp.set_Code_integer)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_15135 x z) (ho_15135 y z)))) (= x y))))) (let ((_let_8802 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9784 v ii) (ite (= i ii) e (ho_9784 u ii)))))))))) (let ((_let_8803 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9784 x z) (ho_9784 y z)))) (= x y))))) (let ((_let_8804 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5700 v ii) (ite (= i ii) e (ho_5700 u ii)))))))))) (let ((_let_8805 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_5700 x z) (ho_5700 y z)))) (= x y))))) (let ((_let_8806 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5731 v ii) (ite (= i ii) e (ho_5731 u ii)))))))))) (let ((_let_8807 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5731 x z) (ho_5731 y z)))) (= x y))))) (let ((_let_8808 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_16031 v ii) (ite (= i ii) e (ho_16031 u ii)))))))))) (let ((_let_8809 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_16031 x z) (ho_16031 y z)))) (= x y))))) (let ((_let_8810 (forall ((u |u_(-> tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7453 v ii) (ite (= i ii) e (ho_7453 u ii)))))))))) (let ((_let_8811 (forall ((x |u_(-> tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> tptp.product_unit tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7453 x z) (ho_7453 y z)))) (= x y))))) (let ((_let_8812 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (= (ho_14236 v ii) (ite (= i ii) e (ho_14236 u ii)))))))))) (let ((_let_8813 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (= (ho_14236 x z) (ho_14236 y z)))) (= x y))))) (let ((_let_8814 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10099 v ii) (ite (= i ii) e (ho_10099 u ii)))))))))) (let ((_let_8815 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10099 x z) (ho_10099 y z)))) (= x y))))) (let ((_let_8816 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_5216 v ii) (ite (= i ii) e (ho_5216 u ii)))))))))) (let ((_let_8817 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_5216 x z) (ho_5216 y z)))) (= x y))))) (let ((_let_8818 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|) (e tptp.set_Pr903927857289325719_int_o) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_14560 v ii) (ite (= i ii) e (ho_14560 u ii)))))))))) (let ((_let_8819 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_Pr903927857289325719_int_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_14560 x z) (ho_14560 y z)))) (= x y))))) (let ((_let_8820 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|) (e tptp.set_Pr5582243495563764594_nat_o) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_6216 v ii) (ite (= i ii) e (ho_6216 u ii)))))))))) (let ((_let_8821 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr5582243495563764594_nat_o)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_6216 x z) (ho_6216 y z)))) (= x y))))) (let ((_let_8822 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_9474 v ii) (ite (= i ii) e (ho_9474 u ii)))))))))) (let ((_let_8823 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_9474 x z) (ho_9474 y z)))) (= x y))))) (let ((_let_8824 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (e tptp.set_Pr7459493094073627847at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 v ii) (ite (= i ii) e (ho_6325 u ii)))))))))) (let ((_let_8825 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 x z) (ho_6325 y z)))) (= x y))))) (let ((_let_8826 (forall ((u |u_(-> tptp.nat Bool)|) (e Bool) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4593 v ii) (ite (= i ii) e (ho_4593 u ii)))))))))) (let ((_let_8827 (forall ((x |u_(-> tptp.nat Bool)|) (y |u_(-> tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4593 x z) (ho_4593 y z)))) (= x y))))) (let ((_let_8828 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14196 v ii) (ite (= i ii) e (ho_14196 u ii)))))))))) (let ((_let_8829 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ _u_(-> tptp.char tptp.nat)_ Bool)_ _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_14196 x z) (ho_14196 y z)))) (= x y))))) (let ((_let_8830 (forall ((u |u_(-> tptp.set_o tptp.set_Code_integer)|) (e tptp.set_Code_integer) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Code_integer)|)) (not (forall ((ii tptp.set_o)) (= (ho_15368 v ii) (ite (= i ii) e (ho_15368 u ii)))))))))) (let ((_let_8831 (forall ((x |u_(-> tptp.set_o tptp.set_Code_integer)|) (y |u_(-> tptp.set_o tptp.set_Code_integer)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15368 x z) (ho_15368 y z)))) (= x y))))) (let ((_let_8832 (forall ((u |u_(-> tptp.nat tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_14535 v ii) (ite (= i ii) e (ho_14535 u ii)))))))))) (let ((_let_8833 (forall ((x |u_(-> tptp.nat tptp.product_prod_o_nat)|) (y |u_(-> tptp.nat tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_14535 x z) (ho_14535 y z)))) (= x y))))) (let ((_let_8834 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_16030 v ii) (ite (= i ii) e (ho_16030 u ii)))))))))) (let ((_let_8835 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_16030 x z) (ho_16030 y z)))) (= x y))))) (let ((_let_8836 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|) (e |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|) (i |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (= (ho_13314 v ii) (ite (= i ii) e (ho_13314 u ii)))))))))) (let ((_let_8837 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|) (y |u_(-> _u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool tptp.product_prod_nat_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_o tptp.product_prod_nat_o)|)) (= (ho_13314 x z) (ho_13314 y z)))) (= x y))))) (let ((_let_8838 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_11519 v ii) (ite (= i ii) e (ho_11519 u ii)))))))))) (let ((_let_8839 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_11519 x z) (ho_11519 y z)))) (= x y))))) (let ((_let_8840 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool tptp.char Bool)|) (e |u_(-> tptp.set_o Bool tptp.char Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool tptp.char Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_7228 v ii) (ite (= i ii) e (ho_7228 u ii)))))))))) (let ((_let_8841 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool tptp.char Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ tptp.set_o Bool tptp.char Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_7228 x z) (ho_7228 y z)))) (= x y))))) (let ((_let_8842 (forall ((u |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (e tptp.set_Code_integer) (i tptp.set_Pr4111642102156807771nteger)) (not (forall ((v |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (not (forall ((ii tptp.set_Pr4111642102156807771nteger)) (= (ho_15568 v ii) (ite (= i ii) e (ho_15568 u ii)))))))))) (let ((_let_8843 (forall ((x |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (y |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (or (not (forall ((z tptp.set_Pr4111642102156807771nteger)) (= (ho_15568 x z) (ho_15568 y z)))) (= x y))))) (let ((_let_8844 (forall ((u |u_(-> Bool tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii Bool)) (= (ho_8629 v ii) (ite (= i ii) e (ho_8629 u ii)))))))))) (let ((_let_8845 (forall ((x |u_(-> Bool tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> Bool tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z Bool)) (= (ho_8629 x z) (ho_8629 y z)))) (= x y))))) (let ((_let_8846 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10319 v ii) (ite (= i ii) e (ho_10319 u ii)))))))))) (let ((_let_8847 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10319 x z) (ho_10319 y z)))) (= x y))))) (let ((_let_8848 (forall ((u |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_rat Bool tptp.set_rat)|) (e |u_(-> tptp.set_rat Bool tptp.set_rat)|) (i |u_(-> Bool tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_rat Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.set_rat)|)) (= (ho_8808 v ii) (ite (= i ii) e (ho_8808 u ii)))))))))) (let ((_let_8849 (forall ((x |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_rat Bool tptp.set_rat)|) (y |u_(-> _u_(-> Bool tptp.set_rat)_ tptp.set_rat Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_rat)|)) (= (ho_8808 x z) (ho_8808 y z)))) (= x y))))) (let ((_let_8850 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_15977 v ii) (ite (= i ii) e (ho_15977 u ii)))))))))) (let ((_let_8851 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_15977 x z) (ho_15977 y z)))) (= x y))))) (let ((_let_8852 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10156 v ii) (ite (= i ii) e (ho_10156 u ii)))))))))) (let ((_let_8853 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10156 x z) (ho_10156 y z)))) (= x y))))) (let ((_let_8854 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5763 v ii) (ite (= i ii) e (ho_5763 u ii)))))))))) (let ((_let_8855 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5763 x z) (ho_5763 y z)))) (= x y))))) (let ((_let_8856 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int)|) (e |u_(-> tptp.int tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_6370 v ii) (ite (= i ii) e (ho_6370 u ii)))))))))) (let ((_let_8857 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_6370 x z) (ho_6370 y z)))) (= x y))))) (let ((_let_8858 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5006 v ii) (ite (= i ii) e (ho_5006 u ii)))))))))) (let ((_let_8859 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5006 x z) (ho_5006 y z)))) (= x y))))) (let ((_let_8860 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5686 v ii) (ite (= i ii) e (ho_5686 u ii)))))))))) (let ((_let_8861 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5686 x z) (ho_5686 y z)))) (= x y))))) (let ((_let_8862 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ Bool tptp.num)|) (e |u_(-> _u_(-> Bool Bool)_ Bool tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ Bool tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_10565 v ii) (ite (= i ii) e (ho_10565 u ii)))))))))) (let ((_let_8863 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ Bool tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ Bool tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_10565 x z) (ho_10565 y z)))) (= x y))))) (let ((_let_8864 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o tptp.set_nat)|) (e |u_(-> tptp.set_o tptp.set_nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_7304 v ii) (ite (= i ii) e (ho_7304 u ii)))))))))) (let ((_let_8865 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_o tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_7304 x z) (ho_7304 y z)))) (= x y))))) (let ((_let_8866 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_13474 v ii) (ite (= i ii) e (ho_13474 u ii)))))))))) (let ((_let_8867 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_13474 x z) (ho_13474 y z)))) (= x y))))) (let ((_let_8868 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8855 v ii) (ite (= i ii) e (ho_8855 u ii)))))))))) (let ((_let_8869 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|) (y |u_(-> tptp.set_rat _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8855 x z) (ho_8855 y z)))) (= x y))))) (let ((_let_8870 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.set_Pr1133966238863718811t_unit Bool)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit Bool)|) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.set_Pr1133966238863718811t_unit Bool)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12175 v ii) (ite (= i ii) e (ho_12175 u ii)))))))))) (let ((_let_8871 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.set_Pr1133966238863718811t_unit Bool)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.set_Pr1133966238863718811t_unit Bool)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12175 x z) (ho_12175 y z)))) (= x y))))) (let ((_let_8872 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5956 v ii) (ite (= i ii) e (ho_5956 u ii)))))))))) (let ((_let_8873 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5956 x z) (ho_5956 y z)))) (= x y))))) (let ((_let_8874 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool tptp.set_o)|) (e |u_(-> tptp.set_o Bool tptp.set_o)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_6020 v ii) (ite (= i ii) e (ho_6020 u ii)))))))))) (let ((_let_8875 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_6020 x z) (ho_6020 y z)))) (= x y))))) (let ((_let_8876 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7122 v ii) (ite (= i ii) e (ho_7122 u ii)))))))))) (let ((_let_8877 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_7122 x z) (ho_7122 y z)))) (= x y))))) (let ((_let_8878 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13093 v ii) (ite (= i ii) e (ho_13093 u ii)))))))))) (let ((_let_8879 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.num)_ tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13093 x z) (ho_13093 y z)))) (= x y))))) (let ((_let_8880 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4546 v ii) (ite (= i ii) e (ho_4546 u ii)))))))))) (let ((_let_8881 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4546 x z) (ho_4546 y z)))) (= x y))))) (let ((_let_8882 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|) (e |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|) (i |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|)) (= (ho_12216 v ii) (ite (= i ii) e (ho_12216 u ii)))))))))) (let ((_let_8883 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)_ tptp.set_Pr6200539531224447659at_num tptp.set_Pr3280342998896498603um_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_num tptp.product_prod_num_nat)|)) (= (ho_12216 x z) (ho_12216 y z)))) (= x y))))) (let ((_let_8884 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7369 v ii) (ite (= i ii) e (ho_7369 u ii)))))))))) (let ((_let_8885 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7369 x z) (ho_7369 y z)))) (= x y))))) (let ((_let_8886 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_11447 v ii) (ite (= i ii) e (ho_11447 u ii)))))))))) (let ((_let_8887 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_11447 x z) (ho_11447 y z)))) (= x y))))) (let ((_let_8888 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_5536 v ii) (ite (= i ii) e (ho_5536 u ii)))))))))) (let ((_let_8889 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_5536 x z) (ho_5536 y z)))) (= x y))))) (let ((_let_8890 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (= (ho_10070 v ii) (ite (= i ii) e (ho_10070 u ii)))))))))) (let ((_let_8891 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (= (ho_10070 x z) (ho_10070 y z)))) (= x y))))) (let ((_let_8892 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|) (e |u_(-> Bool tptp.char Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_13909 v ii) (ite (= i ii) e (ho_13909 u ii)))))))))) (let ((_let_8893 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_13909 x z) (ho_13909 y z)))) (= x y))))) (let ((_let_8894 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6600 v ii) (ite (= i ii) e (ho_6600 u ii)))))))))) (let ((_let_8895 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_6600 x z) (ho_6600 y z)))) (= x y))))) (let ((_let_8896 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10183 v ii) (ite (= i ii) e (ho_10183 u ii)))))))))) (let ((_let_8897 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10183 x z) (ho_10183 y z)))) (= x y))))) (let ((_let_8898 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12366 v ii) (ite (= i ii) e (ho_12366 u ii)))))))))) (let ((_let_8899 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|) (y |u_(-> tptp.product_prod_nat_num tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12366 x z) (ho_12366 y z)))) (= x y))))) (let ((_let_8900 (forall ((u |u_(-> tptp.set_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4565 v ii) (ite (= i ii) e (ho_4565 u ii)))))))))) (let ((_let_8901 (forall ((x |u_(-> tptp.set_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4565 x z) (ho_4565 y z)))) (= x y))))) (let ((_let_8902 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_7328 v ii) (ite (= i ii) e (ho_7328 u ii)))))))))) (let ((_let_8903 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.nat)_ tptp.nat tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7328 x z) (ho_7328 y z)))) (= x y))))) (let ((_let_8904 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num tptp.set_nat)|) (e |u_(-> tptp.set_num tptp.set_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_7331 v ii) (ite (= i ii) e (ho_7331 u ii)))))))))) (let ((_let_8905 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num tptp.set_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.set_num tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_7331 x z) (ho_7331 y z)))) (= x y))))) (let ((_let_8906 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (= (ho_14256 v ii) (ite (= i ii) e (ho_14256 u ii)))))))))) (let ((_let_8907 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)_ _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.int tptp.int)|)) (= (ho_14256 x z) (ho_14256 y z)))) (= x y))))) (let ((_let_8908 (forall ((u |u_(-> tptp.set_nat tptp.set_set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_set_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7979 v ii) (ite (= i ii) e (ho_7979 u ii)))))))))) (let ((_let_8909 (forall ((x |u_(-> tptp.set_nat tptp.set_set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7979 x z) (ho_7979 y z)))) (= x y))))) (let ((_let_8910 (forall ((u |u_(-> tptp.num Bool tptp.num)|) (e |u_(-> Bool tptp.num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num Bool tptp.num)|)) (not (forall ((ii tptp.num)) (= (ho_7336 v ii) (ite (= i ii) e (ho_7336 u ii)))))))))) (let ((_let_8911 (forall ((x |u_(-> tptp.num Bool tptp.num)|) (y |u_(-> tptp.num Bool tptp.num)|)) (or (not (forall ((z tptp.num)) (= (ho_7336 x z) (ho_7336 y z)))) (= x y))))) (let ((_let_8912 (forall ((u |u_(-> tptp.product_unit tptp.set_char)|) (e tptp.set_char) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_char)|)) (not (forall ((ii tptp.product_unit)) (= (ho_8828 v ii) (ite (= i ii) e (ho_8828 u ii)))))))))) (let ((_let_8913 (forall ((x |u_(-> tptp.product_unit tptp.set_char)|) (y |u_(-> tptp.product_unit tptp.set_char)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_8828 x z) (ho_8828 y z)))) (= x y))))) (let ((_let_8914 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|) (e |u_(-> tptp.num Bool tptp.num)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_7335 v ii) (ite (= i ii) e (ho_7335 u ii)))))))))) (let ((_let_8915 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|) (y |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_7335 x z) (ho_7335 y z)))) (= x y))))) (let ((_let_8916 (forall ((u |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|) (i |u_(-> tptp.char tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.char tptp.set_int)|)) (= (ho_14413 v ii) (ite (= i ii) e (ho_14413 u ii)))))))))) (let ((_let_8917 (forall ((x |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.char tptp.set_int)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.char tptp.set_int)|)) (= (ho_14413 x z) (ho_14413 y z)))) (= x y))))) (let ((_let_8918 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|) (e |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|)) (not (forall ((ii tptp.set_num)) (= (ho_7334 v ii) (ite (= i ii) e (ho_7334 u ii)))))))))) (let ((_let_8919 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|) (y |u_(-> tptp.set_num _u_(-> tptp.num Bool)_ tptp.num Bool tptp.num)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7334 x z) (ho_7334 y z)))) (= x y))))) (let ((_let_8920 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7667 v ii) (ite (= i ii) e (ho_7667 u ii)))))))))) (let ((_let_8921 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7667 x z) (ho_7667 y z)))) (= x y))))) (let ((_let_8922 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16029 v ii) (ite (= i ii) e (ho_16029 u ii)))))))))) (let ((_let_8923 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_16029 x z) (ho_16029 y z)))) (= x y))))) (let ((_let_8924 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|) (e |u_(-> tptp.product_prod_int_nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12758 v ii) (ite (= i ii) e (ho_12758 u ii)))))))))) (let ((_let_8925 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_int_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12758 x z) (ho_12758 y z)))) (= x y))))) (let ((_let_8926 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9775 v ii) (ite (= i ii) e (ho_9775 u ii)))))))))) (let ((_let_8927 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9775 x z) (ho_9775 y z)))) (= x y))))) (let ((_let_8928 (forall ((u |u_(-> _u_(-> tptp.ref_a Bool)_ tptp.set_ref_a)|) (e tptp.set_ref_a) (i |u_(-> tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a Bool)_ tptp.set_ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a Bool)|)) (= (ho_14992 v ii) (ite (= i ii) e (ho_14992 u ii)))))))))) (let ((_let_8929 (forall ((x |u_(-> _u_(-> tptp.ref_a Bool)_ tptp.set_ref_a)|) (y |u_(-> _u_(-> tptp.ref_a Bool)_ tptp.set_ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a Bool)|)) (= (ho_14992 x z) (ho_14992 y z)))) (= x y))))) (let ((_let_8930 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num tptp.set_o)|) (e |u_(-> tptp.set_num tptp.set_o)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_7342 v ii) (ite (= i ii) e (ho_7342 u ii)))))))))) (let ((_let_8931 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num tptp.set_o)|) (y |u_(-> _u_(-> tptp.num Bool)_ tptp.set_num tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_7342 x z) (ho_7342 y z)))) (= x y))))) (let ((_let_8932 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_9872 v ii) (ite (= i ii) e (ho_9872 u ii)))))))))) (let ((_let_8933 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Product_unit)|)) (= (ho_9872 x z) (ho_9872 y z)))) (= x y))))) (let ((_let_8934 (forall ((u |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|) (e tptp.produc600557818389255820it_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7347 v ii) (ite (= i ii) e (ho_7347 u ii)))))))))) (let ((_let_8935 (forall ((x |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|) (y |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7347 x z) (ho_7347 y z)))) (= x y))))) (let ((_let_8936 (forall ((u |u_(-> tptp.set_set_nat tptp.set_set_rat)|) (e tptp.set_set_rat) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_set_rat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_13324 v ii) (ite (= i ii) e (ho_13324 u ii)))))))))) (let ((_let_8937 (forall ((x |u_(-> tptp.set_set_nat tptp.set_set_rat)|) (y |u_(-> tptp.set_set_nat tptp.set_set_rat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_13324 x z) (ho_13324 y z)))) (= x y))))) (let ((_let_8938 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> Bool tptp.set_o tptp.product_prod_nat_nat Bool)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7862 v ii) (ite (= i ii) e (ho_7862 u ii)))))))))) (let ((_let_8939 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7862 x z) (ho_7862 y z)))) (= x y))))) (let ((_let_8940 (forall ((u |u_(-> tptp.product_unit tptp.nat tptp.produc600557818389255820it_nat)|) (e |u_(-> tptp.nat tptp.produc600557818389255820it_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.nat tptp.produc600557818389255820it_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7349 v ii) (ite (= i ii) e (ho_7349 u ii)))))))))) (let ((_let_8941 (forall ((x |u_(-> tptp.product_unit tptp.nat tptp.produc600557818389255820it_nat)|) (y |u_(-> tptp.product_unit tptp.nat tptp.produc600557818389255820it_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7349 x z) (ho_7349 y z)))) (= x y))))) (let ((_let_8942 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13856 v ii) (ite (= i ii) e (ho_13856 u ii)))))))))) (let ((_let_8943 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13856 x z) (ho_13856 y z)))) (= x y))))) (let ((_let_8944 (forall ((u |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9626 v ii) (ite (= i ii) e (ho_9626 u ii)))))))))) (let ((_let_8945 (forall ((x |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (y |u_(-> Bool _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9626 x z) (ho_9626 y z)))) (= x y))))) (let ((_let_8946 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12325 v ii) (ite (= i ii) e (ho_12325 u ii)))))))))) (let ((_let_8947 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_12325 x z) (ho_12325 y z)))) (= x y))))) (let ((_let_8948 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (= (ho_15266 v ii) (ite (= i ii) e (ho_15266 u ii)))))))))) (let ((_let_8949 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)_ tptp.set_Pr8693737435421807431at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (= (ho_15266 x z) (ho_15266 y z)))) (= x y))))) (let ((_let_8950 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.rat tptp.set_int)|) (e |u_(-> tptp.set_int tptp.rat tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.rat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10010 v ii) (ite (= i ii) e (ho_10010 u ii)))))))))) (let ((_let_8951 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.rat tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.rat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10010 x z) (ho_10010 y z)))) (= x y))))) (let ((_let_8952 (forall ((u |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|) (e tptp.produc6315701296850634900it_rat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|)) (not (forall ((ii tptp.nat)) (= (ho_7356 v ii) (ite (= i ii) e (ho_7356 u ii)))))))))) (let ((_let_8953 (forall ((x |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|) (y |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7356 x z) (ho_7356 y z)))) (= x y))))) (let ((_let_8954 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_14386 v ii) (ite (= i ii) e (ho_14386 u ii)))))))))) (let ((_let_8955 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_14386 x z) (ho_14386 y z)))) (= x y))))) (let ((_let_8956 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|) (e |u_(-> tptp.nat tptp.produc6315701296850634900it_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7355 v ii) (ite (= i ii) e (ho_7355 u ii)))))))))) (let ((_let_8957 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7355 x z) (ho_7355 y z)))) (= x y))))) (let ((_let_8958 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5109 v ii) (ite (= i ii) e (ho_5109 u ii)))))))))) (let ((_let_8959 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5109 x z) (ho_5109 y z)))) (= x y))))) (let ((_let_8960 (forall ((u |u_(-> tptp.set_num tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.set_nat)|)) (not (forall ((ii tptp.set_num)) (= (ho_7332 v ii) (ite (= i ii) e (ho_7332 u ii)))))))))) (let ((_let_8961 (forall ((x |u_(-> tptp.set_num tptp.set_nat)|) (y |u_(-> tptp.set_num tptp.set_nat)|)) (or (not (forall ((z tptp.set_num)) (= (ho_7332 x z) (ho_7332 y z)))) (= x y))))) (let ((_let_8962 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7354 v ii) (ite (= i ii) e (ho_7354 u ii)))))))))) (let ((_let_8963 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.produc6315701296850634900it_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_7354 x z) (ho_7354 y z)))) (= x y))))) (let ((_let_8964 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|) (e tptp.produc859450856879609959at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_8253 v ii) (ite (= i ii) e (ho_8253 u ii)))))))))) (let ((_let_8965 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_8253 x z) (ho_8253 y z)))) (= x y))))) (let ((_let_8966 (forall ((u |u_(-> tptp.product_unit tptp.rat tptp.produc6315701296850634900it_rat)|) (e |u_(-> tptp.rat tptp.produc6315701296850634900it_rat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.rat tptp.produc6315701296850634900it_rat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7358 v ii) (ite (= i ii) e (ho_7358 u ii)))))))))) (let ((_let_8967 (forall ((x |u_(-> tptp.product_unit tptp.rat tptp.produc6315701296850634900it_rat)|) (y |u_(-> tptp.product_unit tptp.rat tptp.produc6315701296850634900it_rat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7358 x z) (ho_7358 y z)))) (= x y))))) (let ((_let_8968 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_o)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7507 v ii) (ite (= i ii) e (ho_7507 u ii)))))))))) (let ((_let_8969 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_o)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_o)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7507 x z) (ho_7507 y z)))) (= x y))))) (let ((_let_8970 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_7802 v ii) (ite (= i ii) e (ho_7802 u ii)))))))))) (let ((_let_8971 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_7802 x z) (ho_7802 y z)))) (= x y))))) (let ((_let_8972 (forall ((u |u_(-> tptp.ref_a Bool)|) (e Bool) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_9851 v ii) (ite (= i ii) e (ho_9851 u ii)))))))))) (let ((_let_8973 (forall ((x |u_(-> tptp.ref_a Bool)|) (y |u_(-> tptp.ref_a Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_9851 x z) (ho_9851 y z)))) (= x y))))) (let ((_let_8974 (forall ((u |u_(-> tptp.product_unit tptp.set_rat)|) (e tptp.set_rat) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_rat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7364 v ii) (ite (= i ii) e (ho_7364 u ii)))))))))) (let ((_let_8975 (forall ((x |u_(-> tptp.product_unit tptp.set_rat)|) (y |u_(-> tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7364 x z) (ho_7364 y z)))) (= x y))))) (let ((_let_8976 (forall ((u |u_(-> tptp.set_nat tptp.product_unit tptp.set_rat)|) (e |u_(-> tptp.product_unit tptp.set_rat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.product_unit tptp.set_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7363 v ii) (ite (= i ii) e (ho_7363 u ii)))))))))) (let ((_let_8977 (forall ((x |u_(-> tptp.set_nat tptp.product_unit tptp.set_rat)|) (y |u_(-> tptp.set_nat tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7363 x z) (ho_7363 y z)))) (= x y))))) (let ((_let_8978 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (i |u_(-> tptp.set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_14376 v ii) (ite (= i ii) e (ho_14376 u ii)))))))))) (let ((_let_8979 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_nat)|)) (= (ho_14376 x z) (ho_14376 y z)))) (= x y))))) (let ((_let_8980 (forall ((u |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|)) (not (forall ((ii tptp.int)) (= (ho_5850 v ii) (ite (= i ii) e (ho_5850 u ii)))))))))) (let ((_let_8981 (forall ((x |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|) (y |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int Bool tptp.set_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_5850 x z) (ho_5850 y z)))) (= x y))))) (let ((_let_8982 (forall ((u |u_(-> tptp.set_nat tptp.set_int)|) (e tptp.set_int) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4931 v ii) (ite (= i ii) e (ho_4931 u ii)))))))))) (let ((_let_8983 (forall ((x |u_(-> tptp.set_nat tptp.set_int)|) (y |u_(-> tptp.set_nat tptp.set_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4931 x z) (ho_4931 y z)))) (= x y))))) (let ((_let_8984 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7366 v ii) (ite (= i ii) e (ho_7366 u ii)))))))))) (let ((_let_8985 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7366 x z) (ho_7366 y z)))) (= x y))))) (let ((_let_8986 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.nat)_ Bool)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_13494 v ii) (ite (= i ii) e (ho_13494 u ii)))))))))) (let ((_let_8987 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.char tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_13494 x z) (ho_13494 y z)))) (= x y))))) (let ((_let_8988 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_12304 v ii) (ite (= i ii) e (ho_12304 u ii)))))))))) (let ((_let_8989 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ _u_(-> tptp.int tptp.rat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_12304 x z) (ho_12304 y z)))) (= x y))))) (let ((_let_8990 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_6598 v ii) (ite (= i ii) e (ho_6598 u ii)))))))))) (let ((_let_8991 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_6598 x z) (ho_6598 y z)))) (= x y))))) (let ((_let_8992 (forall ((u |u_(-> tptp.set_set_nat tptp.set_nat_o)|) (e tptp.set_nat_o) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_nat_o)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_6182 v ii) (ite (= i ii) e (ho_6182 u ii)))))))))) (let ((_let_8993 (forall ((x |u_(-> tptp.set_set_nat tptp.set_nat_o)|) (y |u_(-> tptp.set_set_nat tptp.set_nat_o)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_6182 x z) (ho_6182 y z)))) (= x y))))) (let ((_let_8994 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9755 v ii) (ite (= i ii) e (ho_9755 u ii)))))))))) (let ((_let_8995 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9755 x z) (ho_9755 y z)))) (= x y))))) (let ((_let_8996 (forall ((u |u_(-> tptp.nat tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_int_int)|)) (not (forall ((ii tptp.nat)) (= (ho_7373 v ii) (ite (= i ii) e (ho_7373 u ii)))))))))) (let ((_let_8997 (forall ((x |u_(-> tptp.nat tptp.product_prod_int_int)|) (y |u_(-> tptp.nat tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_7373 x z) (ho_7373 y z)))) (= x y))))) (let ((_let_8998 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|) (i |u_(-> tptp.product_prod_num_num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_num tptp.num)|)) (= (ho_13625 v ii) (ite (= i ii) e (ho_13625 u ii)))))))))) (let ((_let_8999 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.product_prod_num_num tptp.num)_ _u_(-> tptp.int tptp.product_prod_num_num)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_num tptp.num)|)) (= (ho_13625 x z) (ho_13625 y z)))) (= x y))))) (let ((_let_9000 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|) (e |u_(-> tptp.nat tptp.product_prod_int_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7372 v ii) (ite (= i ii) e (ho_7372 u ii)))))))))) (let ((_let_9001 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7372 x z) (ho_7372 y z)))) (= x y))))) (let ((_let_9002 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (= (ho_9670 v ii) (ite (= i ii) e (ho_9670 u ii)))))))))) (let ((_let_9003 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat tptp.set_set_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (= (ho_9670 x z) (ho_9670 y z)))) (= x y))))) (let ((_let_9004 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10928 v ii) (ite (= i ii) e (ho_10928 u ii)))))))))) (let ((_let_9005 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10928 x z) (ho_10928 y z)))) (= x y))))) (let ((_let_9006 (forall ((u |u_(-> tptp.int tptp.product_prod_int_nat)|) (e tptp.product_prod_int_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.int)) (= (ho_7380 v ii) (ite (= i ii) e (ho_7380 u ii)))))))))) (let ((_let_9007 (forall ((x |u_(-> tptp.int tptp.product_prod_int_nat)|) (y |u_(-> tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_7380 x z) (ho_7380 y z)))) (= x y))))) (let ((_let_9008 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10404 v ii) (ite (= i ii) e (ho_10404 u ii)))))))))) (let ((_let_9009 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10404 x z) (ho_10404 y z)))) (= x y))))) (let ((_let_9010 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|) (e |u_(-> tptp.int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_7379 v ii) (ite (= i ii) e (ho_7379 u ii)))))))))) (let ((_let_9011 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_7379 x z) (ho_7379 y z)))) (= x y))))) (let ((_let_9012 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_15545 v ii) (ite (= i ii) e (ho_15545 u ii)))))))))) (let ((_let_9013 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_15545 x z) (ho_15545 y z)))) (= x y))))) (let ((_let_9014 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7378 v ii) (ite (= i ii) e (ho_7378 u ii)))))))))) (let ((_let_9015 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7378 x z) (ho_7378 y z)))) (= x y))))) (let ((_let_9016 (forall ((u |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|) (e |u_(-> tptp.option_num tptp.option_num)|) (i |u_(-> tptp.num tptp.option_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.option_num)|)) (= (ho_4582 v ii) (ite (= i ii) e (ho_4582 u ii)))))))))) (let ((_let_9017 (forall ((x |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|) (y |u_(-> _u_(-> tptp.num tptp.option_num)_ tptp.option_num tptp.option_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.option_num)|)) (= (ho_4582 x z) (ho_4582 y z)))) (= x y))))) (let ((_let_9018 (forall ((u |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|) (e |u_(-> tptp.nat tptp.product_prod_int_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((ii tptp.int)) (= (ho_7382 v ii) (ite (= i ii) e (ho_7382 u ii)))))))))) (let ((_let_9019 (forall ((x |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|) (y |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_7382 x z) (ho_7382 y z)))) (= x y))))) (let ((_let_9020 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|) (e tptp.set_Pr6558897299634722526_nat_o) (i |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (= (ho_14666 v ii) (ite (= i ii) e (ho_14666 u ii)))))))))) (let ((_let_9021 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (= (ho_14666 x z) (ho_14666 y z)))) (= x y))))) (let ((_let_9022 (forall ((u |u_(-> tptp.set_int tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_7387 v ii) (ite (= i ii) e (ho_7387 u ii)))))))))) (let ((_let_9023 (forall ((x |u_(-> tptp.set_int tptp.int tptp.set_nat)|) (y |u_(-> tptp.set_int tptp.int tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7387 x z) (ho_7387 y z)))) (= x y))))) (let ((_let_9024 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13021 v ii) (ite (= i ii) e (ho_13021 u ii)))))))))) (let ((_let_9025 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_13021 x z) (ho_13021 y z)))) (= x y))))) (let ((_let_9026 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8691 v ii) (ite (= i ii) e (ho_8691 u ii)))))))))) (let ((_let_9027 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8691 x z) (ho_8691 y z)))) (= x y))))) (let ((_let_9028 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7928 v ii) (ite (= i ii) e (ho_7928 u ii)))))))))) (let ((_let_9029 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7928 x z) (ho_7928 y z)))) (= x y))))) (let ((_let_9030 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)_ _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|) (i |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)_ _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (= (ho_12959 v ii) (ite (= i ii) e (ho_12959 u ii)))))))))) (let ((_let_9031 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)_ _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|) (y |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)_ _u_(-> tptp.int tptp.product_prod_int_nat)_ tptp.int tptp.product_prod_nat_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_num)|)) (= (ho_12959 x z) (ho_12959 y z)))) (= x y))))) (let ((_let_9032 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8571 v ii) (ite (= i ii) e (ho_8571 u ii)))))))))) (let ((_let_9033 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8571 x z) (ho_8571 y z)))) (= x y))))) (let ((_let_9034 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.product_prod_num_num Bool)|) (e |u_(-> tptp.product_prod_num_num Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.product_prod_num_num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_10489 v ii) (ite (= i ii) e (ho_10489 u ii)))))))))) (let ((_let_9035 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.product_prod_num_num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.product_prod_num_num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_10489 x z) (ho_10489 y z)))) (= x y))))) (let ((_let_9036 (forall ((u |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (= (ho_14109 v ii) (ite (= i ii) e (ho_14109 u ii)))))))))) (let ((_let_9037 (forall ((x |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)_ _u_(-> tptp.int tptp.ref_a Bool)_ _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.ref_a Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (= (ho_14109 x z) (ho_14109 y z)))) (= x y))))) (let ((_let_9038 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_13882 v ii) (ite (= i ii) e (ho_13882 u ii)))))))))) (let ((_let_9039 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_13882 x z) (ho_13882 y z)))) (= x y))))) (let ((_let_9040 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13650 v ii) (ite (= i ii) e (ho_13650 u ii)))))))))) (let ((_let_9041 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_13650 x z) (ho_13650 y z)))) (= x y))))) (let ((_let_9042 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7392 v ii) (ite (= i ii) e (ho_7392 u ii)))))))))) (let ((_let_9043 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7392 x z) (ho_7392 y z)))) (= x y))))) (let ((_let_9044 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7923 v ii) (ite (= i ii) e (ho_7923 u ii)))))))))) (let ((_let_9045 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7923 x z) (ho_7923 y z)))) (= x y))))) (let ((_let_9046 (forall ((u |u_(-> tptp.nat tptp.product_prod_int_rat)|) (e tptp.product_prod_int_rat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((ii tptp.nat)) (= (ho_7398 v ii) (ite (= i ii) e (ho_7398 u ii)))))))))) (let ((_let_9047 (forall ((x |u_(-> tptp.nat tptp.product_prod_int_rat)|) (y |u_(-> tptp.nat tptp.product_prod_int_rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7398 x z) (ho_7398 y z)))) (= x y))))) (let ((_let_9048 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7814 v ii) (ite (= i ii) e (ho_7814 u ii)))))))))) (let ((_let_9049 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Product_unit tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7814 x z) (ho_7814 y z)))) (= x y))))) (let ((_let_9050 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10775 v ii) (ite (= i ii) e (ho_10775 u ii)))))))))) (let ((_let_9051 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10775 x z) (ho_10775 y z)))) (= x y))))) (let ((_let_9052 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12281 v ii) (ite (= i ii) e (ho_12281 u ii)))))))))) (let ((_let_9053 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (= (ho_12281 x z) (ho_12281 y z)))) (= x y))))) (let ((_let_9054 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.int tptp.set_rat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7404 v ii) (ite (= i ii) e (ho_7404 u ii)))))))))) (let ((_let_9055 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7404 x z) (ho_7404 y z)))) (= x y))))) (let ((_let_9056 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (= (ho_12309 v ii) (ite (= i ii) e (ho_12309 u ii)))))))))) (let ((_let_9057 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.code_integer)|)) (= (ho_12309 x z) (ho_12309 y z)))) (= x y))))) (let ((_let_9058 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7403 v ii) (ite (= i ii) e (ho_7403 u ii)))))))))) (let ((_let_9059 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7403 x z) (ho_7403 y z)))) (= x y))))) (let ((_let_9060 (forall ((u |u_(-> tptp.product_prod_nat_int tptp.set_Pr7995236796853374141at_int Bool)|) (e |u_(-> tptp.set_Pr7995236796853374141at_int Bool)|) (i tptp.product_prod_nat_int)) (not (forall ((v |u_(-> tptp.product_prod_nat_int tptp.set_Pr7995236796853374141at_int Bool)|)) (not (forall ((ii tptp.product_prod_nat_int)) (= (ho_14557 v ii) (ite (= i ii) e (ho_14557 u ii)))))))))) (let ((_let_9061 (forall ((x |u_(-> tptp.product_prod_nat_int tptp.set_Pr7995236796853374141at_int Bool)|) (y |u_(-> tptp.product_prod_nat_int tptp.set_Pr7995236796853374141at_int Bool)|)) (or (not (forall ((z tptp.product_prod_nat_int)) (= (ho_14557 x z) (ho_14557 y z)))) (= x y))))) (let ((_let_9062 (forall ((u |u_(-> tptp.nat tptp.product_prod_rat_int)|) (e tptp.product_prod_rat_int) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_rat_int)|)) (not (forall ((ii tptp.nat)) (= (ho_7410 v ii) (ite (= i ii) e (ho_7410 u ii)))))))))) (let ((_let_9063 (forall ((x |u_(-> tptp.nat tptp.product_prod_rat_int)|) (y |u_(-> tptp.nat tptp.product_prod_rat_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_7410 x z) (ho_7410 y z)))) (= x y))))) (let ((_let_9064 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_12224 v ii) (ite (= i ii) e (ho_12224 u ii)))))))))) (let ((_let_9065 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)_ tptp.set_Pr3280342998896498603um_nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (= (ho_12224 x z) (ho_12224 y z)))) (= x y))))) (let ((_let_9066 (forall ((u |u_(-> tptp.int tptp.product_prod_rat_int)|) (e tptp.product_prod_rat_int) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_rat_int)|)) (not (forall ((ii tptp.int)) (= (ho_7413 v ii) (ite (= i ii) e (ho_7413 u ii)))))))))) (let ((_let_9067 (forall ((x |u_(-> tptp.int tptp.product_prod_rat_int)|) (y |u_(-> tptp.int tptp.product_prod_rat_int)|)) (or (not (forall ((z tptp.int)) (= (ho_7413 x z) (ho_7413 y z)))) (= x y))))) (let ((_let_9068 (forall ((u |u_(-> tptp.set_nat tptp.rat tptp.set_int)|) (e |u_(-> tptp.rat tptp.set_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.rat tptp.set_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7417 v ii) (ite (= i ii) e (ho_7417 u ii)))))))))) (let ((_let_9069 (forall ((x |u_(-> tptp.set_nat tptp.rat tptp.set_int)|) (y |u_(-> tptp.set_nat tptp.rat tptp.set_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7417 x z) (ho_7417 y z)))) (= x y))))) (let ((_let_9070 (forall ((u |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (e tptp.produc859450856879609959at_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_8651 v ii) (ite (= i ii) e (ho_8651 u ii)))))))))) (let ((_let_9071 (forall ((x |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_8651 x z) (ho_8651 y z)))) (= x y))))) (let ((_let_9072 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (e tptp.produc7812382424243267045t_unit) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_11998 v ii) (ite (= i ii) e (ho_11998 u ii)))))))))) (let ((_let_9073 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_11998 x z) (ho_11998 y z)))) (= x y))))) (let ((_let_9074 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8177 v ii) (ite (= i ii) e (ho_8177 u ii)))))))))) (let ((_let_9075 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8177 x z) (ho_8177 y z)))) (= x y))))) (let ((_let_9076 (forall ((u |u_(-> tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.produc5561445381605014009at_nat)) (not (forall ((v |u_(-> tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.produc5561445381605014009at_nat)) (= (ho_12444 v ii) (ite (= i ii) e (ho_12444 u ii)))))))))) (let ((_let_9077 (forall ((x |u_(-> tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.produc5561445381605014009at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.produc5561445381605014009at_nat)) (= (ho_12444 x z) (ho_12444 y z)))) (= x y))))) (let ((_let_9078 (forall ((u |u_(-> tptp.int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.int)) (= (ho_5223 v ii) (ite (= i ii) e (ho_5223 u ii)))))))))) (let ((_let_9079 (forall ((x |u_(-> tptp.int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_5223 x z) (ho_5223 y z)))) (= x y))))) (let ((_let_9080 (forall ((u |u_(-> tptp.product_unit tptp.rat tptp.product_unit)|) (e |u_(-> tptp.rat tptp.product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.rat tptp.product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7193 v ii) (ite (= i ii) e (ho_7193 u ii)))))))))) (let ((_let_9081 (forall ((x |u_(-> tptp.product_unit tptp.rat tptp.product_unit)|) (y |u_(-> tptp.product_unit tptp.rat tptp.product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7193 x z) (ho_7193 y z)))) (= x y))))) (let ((_let_9082 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.set_set_o)|) (e |u_(-> tptp.set_Product_unit tptp.set_set_o)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.set_set_o)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7506 v ii) (ite (= i ii) e (ho_7506 u ii)))))))))) (let ((_let_9083 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.set_set_o)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.set_set_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7506 x z) (ho_7506 y z)))) (= x y))))) (let ((_let_9084 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|) (e |u_(-> tptp.set_nat tptp.rat tptp.set_int)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7416 v ii) (ite (= i ii) e (ho_7416 u ii)))))))))) (let ((_let_9085 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7416 x z) (ho_7416 y z)))) (= x y))))) (let ((_let_9086 (forall ((u |u_(-> tptp.set_rat tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_7421 v ii) (ite (= i ii) e (ho_7421 u ii)))))))))) (let ((_let_9087 (forall ((x |u_(-> tptp.set_rat tptp.set_rat)|) (y |u_(-> tptp.set_rat tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_7421 x z) (ho_7421 y z)))) (= x y))))) (let ((_let_9088 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10106 v ii) (ite (= i ii) e (ho_10106 u ii)))))))))) (let ((_let_9089 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10106 x z) (ho_10106 y z)))) (= x y))))) (let ((_let_9090 (forall ((u |u_(-> tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_4978 v ii) (ite (= i ii) e (ho_4978 u ii)))))))))) (let ((_let_9091 (forall ((x |u_(-> tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_4978 x z) (ho_4978 y z)))) (= x y))))) (let ((_let_9092 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (e Bool) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_10246 v ii) (ite (= i ii) e (ho_10246 u ii)))))))))) (let ((_let_9093 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_10246 x z) (ho_10246 y z)))) (= x y))))) (let ((_let_9094 (forall ((u |u_(-> tptp.product_prod_o_int tptp.set_Pr8834758594704517033_o_int Bool)|) (e |u_(-> tptp.set_Pr8834758594704517033_o_int Bool)|) (i tptp.product_prod_o_int)) (not (forall ((v |u_(-> tptp.product_prod_o_int tptp.set_Pr8834758594704517033_o_int Bool)|)) (not (forall ((ii tptp.product_prod_o_int)) (= (ho_14546 v ii) (ite (= i ii) e (ho_14546 u ii)))))))))) (let ((_let_9095 (forall ((x |u_(-> tptp.product_prod_o_int tptp.set_Pr8834758594704517033_o_int Bool)|) (y |u_(-> tptp.product_prod_o_int tptp.set_Pr8834758594704517033_o_int Bool)|)) (or (not (forall ((z tptp.product_prod_o_int)) (= (ho_14546 x z) (ho_14546 y z)))) (= x y))))) (let ((_let_9096 (forall ((u |u_(-> tptp.nat tptp.product_prod_rat_nat)|) (e tptp.product_prod_rat_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_rat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7428 v ii) (ite (= i ii) e (ho_7428 u ii)))))))))) (let ((_let_9097 (forall ((x |u_(-> tptp.nat tptp.product_prod_rat_nat)|) (y |u_(-> tptp.nat tptp.product_prod_rat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7428 x z) (ho_7428 y z)))) (= x y))))) (let ((_let_9098 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_11467 v ii) (ite (= i ii) e (ho_11467 u ii)))))))))) (let ((_let_9099 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_11467 x z) (ho_11467 y z)))) (= x y))))) (let ((_let_9100 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|) (e |u_(-> tptp.nat tptp.product_prod_rat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7427 v ii) (ite (= i ii) e (ho_7427 u ii)))))))))) (let ((_let_9101 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7427 x z) (ho_7427 y z)))) (= x y))))) (let ((_let_9102 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13210 v ii) (ite (= i ii) e (ho_13210 u ii)))))))))) (let ((_let_9103 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13210 x z) (ho_13210 y z)))) (= x y))))) (let ((_let_9104 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7426 v ii) (ite (= i ii) e (ho_7426 u ii)))))))))) (let ((_let_9105 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.product_prod_rat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7426 x z) (ho_7426 y z)))) (= x y))))) (let ((_let_9106 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (= (ho_10764 v ii) (ite (= i ii) e (ho_10764 u ii)))))))))) (let ((_let_9107 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|)) (= (ho_10764 x z) (ho_10764 y z)))) (= x y))))) (let ((_let_9108 (forall ((u |u_(-> tptp.rat tptp.nat tptp.product_prod_rat_nat)|) (e |u_(-> tptp.nat tptp.product_prod_rat_nat)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.nat tptp.product_prod_rat_nat)|)) (not (forall ((ii tptp.rat)) (= (ho_7430 v ii) (ite (= i ii) e (ho_7430 u ii)))))))))) (let ((_let_9109 (forall ((x |u_(-> tptp.rat tptp.nat tptp.product_prod_rat_nat)|) (y |u_(-> tptp.rat tptp.nat tptp.product_prod_rat_nat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7430 x z) (ho_7430 y z)))) (= x y))))) (let ((_let_9110 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.ref_a tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.nat Bool)|)) (= (ho_14096 v ii) (ite (= i ii) e (ho_14096 u ii)))))))))) (let ((_let_9111 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.nat Bool)_ _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.nat Bool)|)) (= (ho_14096 x z) (ho_14096 y z)))) (= x y))))) (let ((_let_9112 (forall ((u |u_(-> tptp.set_nat tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_o)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7479 v ii) (ite (= i ii) e (ho_7479 u ii)))))))))) (let ((_let_9113 (forall ((x |u_(-> tptp.set_nat tptp.set_set_o)|) (y |u_(-> tptp.set_nat tptp.set_set_o)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7479 x z) (ho_7479 y z)))) (= x y))))) (let ((_let_9114 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9754 v ii) (ite (= i ii) e (ho_9754 u ii)))))))))) (let ((_let_9115 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9754 x z) (ho_9754 y z)))) (= x y))))) (let ((_let_9116 (forall ((u |u_(-> tptp.set_nat tptp.rat tptp.set_nat)|) (e |u_(-> tptp.rat tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.rat tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7434 v ii) (ite (= i ii) e (ho_7434 u ii)))))))))) (let ((_let_9117 (forall ((x |u_(-> tptp.set_nat tptp.rat tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.rat tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7434 x z) (ho_7434 y z)))) (= x y))))) (let ((_let_9118 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.set_set_int)|) (e |u_(-> tptp.set_int tptp.set_set_int)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.set_set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_7579 v ii) (ite (= i ii) e (ho_7579 u ii)))))))))) (let ((_let_9119 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.set_set_int)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.set_set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_7579 x z) (ho_7579 y z)))) (= x y))))) (let ((_let_9120 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6830 v ii) (ite (= i ii) e (ho_6830 u ii)))))))))) (let ((_let_9121 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6830 x z) (ho_6830 y z)))) (= x y))))) (let ((_let_9122 (forall ((u |u_(-> tptp.set_o tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_int)|)) (not (forall ((ii tptp.set_o)) (= (ho_7566 v ii) (ite (= i ii) e (ho_7566 u ii)))))))))) (let ((_let_9123 (forall ((x |u_(-> tptp.set_o tptp.set_set_int)|) (y |u_(-> tptp.set_o tptp.set_set_int)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7566 x z) (ho_7566 y z)))) (= x y))))) (let ((_let_9124 (forall ((u |u_(-> tptp.code_integer tptp.int)|) (e tptp.int) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.int)|)) (not (forall ((ii tptp.code_integer)) (= (ho_5417 v ii) (ite (= i ii) e (ho_5417 u ii)))))))))) (let ((_let_9125 (forall ((x |u_(-> tptp.code_integer tptp.int)|) (y |u_(-> tptp.code_integer tptp.int)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_5417 x z) (ho_5417 y z)))) (= x y))))) (let ((_let_9126 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10728 v ii) (ite (= i ii) e (ho_10728 u ii)))))))))) (let ((_let_9127 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10728 x z) (ho_10728 y z)))) (= x y))))) (let ((_let_9128 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_5647 v ii) (ite (= i ii) e (ho_5647 u ii)))))))))) (let ((_let_9129 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_5647 x z) (ho_5647 y z)))) (= x y))))) (let ((_let_9130 (forall ((u |u_(-> tptp.set_int tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_4954 v ii) (ite (= i ii) e (ho_4954 u ii)))))))))) (let ((_let_9131 (forall ((x |u_(-> tptp.set_int tptp.set_set_nat)|) (y |u_(-> tptp.set_int tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_4954 x z) (ho_4954 y z)))) (= x y))))) (let ((_let_9132 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|) (e |u_(-> tptp.rat tptp.int)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_11048 v ii) (ite (= i ii) e (ho_11048 u ii)))))))))) (let ((_let_9133 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_11048 x z) (ho_11048 y z)))) (= x y))))) (let ((_let_9134 (forall ((u |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o Bool)|) (e |u_(-> tptp.set_Pr5464989305201766866unit_o Bool)|) (i tptp.set_Pr5464989305201766866unit_o)) (not (forall ((v |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o Bool)|)) (not (forall ((ii tptp.set_Pr5464989305201766866unit_o)) (= (ho_14957 v ii) (ite (= i ii) e (ho_14957 u ii)))))))))) (let ((_let_9135 (forall ((x |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o Bool)|) (y |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o Bool)|)) (or (not (forall ((z tptp.set_Pr5464989305201766866unit_o)) (= (ho_14957 x z) (ho_14957 y z)))) (= x y))))) (let ((_let_9136 (forall ((u |u_(-> tptp.rat tptp.rat tptp.product_prod_rat_rat)|) (e |u_(-> tptp.rat tptp.product_prod_rat_rat)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.rat tptp.product_prod_rat_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_7440 v ii) (ite (= i ii) e (ho_7440 u ii)))))))))) (let ((_let_9137 (forall ((x |u_(-> tptp.rat tptp.rat tptp.product_prod_rat_rat)|) (y |u_(-> tptp.rat tptp.rat tptp.product_prod_rat_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7440 x z) (ho_7440 y z)))) (= x y))))) (let ((_let_9138 (forall ((u |u_(-> tptp.rat tptp.set_rat)|) (e tptp.set_rat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.set_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_7446 v ii) (ite (= i ii) e (ho_7446 u ii)))))))))) (let ((_let_9139 (forall ((x |u_(-> tptp.rat tptp.set_rat)|) (y |u_(-> tptp.rat tptp.set_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7446 x z) (ho_7446 y z)))) (= x y))))) (let ((_let_9140 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_6785 v ii) (ite (= i ii) e (ho_6785 u ii)))))))))) (let ((_let_9141 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_6785 x z) (ho_6785 y z)))) (= x y))))) (let ((_let_9142 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7701 v ii) (ite (= i ii) e (ho_7701 u ii)))))))))) (let ((_let_9143 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7701 x z) (ho_7701 y z)))) (= x y))))) (let ((_let_9144 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.rat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7444 v ii) (ite (= i ii) e (ho_7444 u ii)))))))))) (let ((_let_9145 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7444 x z) (ho_7444 y z)))) (= x y))))) (let ((_let_9146 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13216 v ii) (ite (= i ii) e (ho_13216 u ii)))))))))) (let ((_let_9147 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13216 x z) (ho_13216 y z)))) (= x y))))) (let ((_let_9148 (forall ((u |u_(-> tptp.set_Co4375521073081744395nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i tptp.set_Co4375521073081744395nteger)) (not (forall ((v |u_(-> tptp.set_Co4375521073081744395nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii tptp.set_Co4375521073081744395nteger)) (= (ho_14281 v ii) (ite (= i ii) e (ho_14281 u ii)))))))))) (let ((_let_9149 (forall ((x |u_(-> tptp.set_Co4375521073081744395nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> tptp.set_Co4375521073081744395nteger _u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z tptp.set_Co4375521073081744395nteger)) (= (ho_14281 x z) (ho_14281 y z)))) (= x y))))) (let ((_let_9150 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7596 v ii) (ite (= i ii) e (ho_7596 u ii)))))))))) (let ((_let_9151 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7596 x z) (ho_7596 y z)))) (= x y))))) (let ((_let_9152 (forall ((u |u_(-> tptp.int tptp.set_nat)|) (e tptp.set_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((ii tptp.int)) (= (ho_4946 v ii) (ite (= i ii) e (ho_4946 u ii)))))))))) (let ((_let_9153 (forall ((x |u_(-> tptp.int tptp.set_nat)|) (y |u_(-> tptp.int tptp.set_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_4946 x z) (ho_4946 y z)))) (= x y))))) (let ((_let_9154 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13180 v ii) (ite (= i ii) e (ho_13180 u ii)))))))))) (let ((_let_9155 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13180 x z) (ho_13180 y z)))) (= x y))))) (let ((_let_9156 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7457 v ii) (ite (= i ii) e (ho_7457 u ii)))))))))) (let ((_let_9157 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7457 x z) (ho_7457 y z)))) (= x y))))) (let ((_let_9158 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15822 v ii) (ite (= i ii) e (ho_15822 u ii)))))))))) (let ((_let_9159 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15822 x z) (ho_15822 y z)))) (= x y))))) (let ((_let_9160 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_10450 v ii) (ite (= i ii) e (ho_10450 u ii)))))))))) (let ((_let_9161 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_10450 x z) (ho_10450 y z)))) (= x y))))) (let ((_let_9162 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.nat)_ Bool tptp.int)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.nat)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_15745 v ii) (ite (= i ii) e (ho_15745 u ii)))))))))) (let ((_let_9163 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.nat)_ Bool tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> Bool tptp.nat)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_15745 x z) (ho_15745 y z)))) (= x y))))) (let ((_let_9164 (forall ((u |u_(-> tptp.int tptp.set_nat tptp.int tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.int tptp.set_nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_nat tptp.int tptp.set_nat)|)) (not (forall ((ii tptp.int)) (= (ho_7464 v ii) (ite (= i ii) e (ho_7464 u ii)))))))))) (let ((_let_9165 (forall ((x |u_(-> tptp.int tptp.set_nat tptp.int tptp.set_nat)|) (y |u_(-> tptp.int tptp.set_nat tptp.int tptp.set_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_7464 x z) (ho_7464 y z)))) (= x y))))) (let ((_let_9166 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_6123 v ii) (ite (= i ii) e (ho_6123 u ii)))))))))) (let ((_let_9167 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_6123 x z) (ho_6123 y z)))) (= x y))))) (let ((_let_9168 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_7463 v ii) (ite (= i ii) e (ho_7463 u ii)))))))))) (let ((_let_9169 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_7463 x z) (ho_7463 y z)))) (= x y))))) (let ((_let_9170 (forall ((u |u_(-> tptp.set_int tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_7468 v ii) (ite (= i ii) e (ho_7468 u ii)))))))))) (let ((_let_9171 (forall ((x |u_(-> tptp.set_int tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_int tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_7468 x z) (ho_7468 y z)))) (= x y))))) (let ((_let_9172 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_8563 v ii) (ite (= i ii) e (ho_8563 u ii)))))))))) (let ((_let_9173 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8563 x z) (ho_8563 y z)))) (= x y))))) (let ((_let_9174 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.int)_ Bool Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_11166 v ii) (ite (= i ii) e (ho_11166 u ii)))))))))) (let ((_let_9175 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_11166 x z) (ho_11166 y z)))) (= x y))))) (let ((_let_9176 (forall ((u |u_(-> tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.set_nat tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_7467 v ii) (ite (= i ii) e (ho_7467 u ii)))))))))) (let ((_let_9177 (forall ((x |u_(-> tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.int tptp.set_int tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_7467 x z) (ho_7467 y z)))) (= x y))))) (let ((_let_9178 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int tptp.set_int_nat)|) (e |u_(-> tptp.set_int_int tptp.set_int_nat)|) (i |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int tptp.set_int_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_15810 v ii) (ite (= i ii) e (ho_15810 u ii)))))))))) (let ((_let_9179 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int tptp.set_int_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ tptp.set_int_int tptp.set_int_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (= (ho_15810 x z) (ho_15810 y z)))) (= x y))))) (let ((_let_9180 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7762 v ii) (ite (= i ii) e (ho_7762 u ii)))))))))) (let ((_let_9181 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7762 x z) (ho_7762 y z)))) (= x y))))) (let ((_let_9182 (forall ((u |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (e |u_(-> tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (i |u_(-> tptp.rat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (not (forall ((ii |u_(-> tptp.rat tptp.int)|)) (= (ho_13443 v ii) (ite (= i ii) e (ho_13443 u ii)))))))))) (let ((_let_9183 (forall ((x |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|) (y |u_(-> _u_(-> tptp.rat tptp.int)_ tptp.produc414006230660905482ar_rat tptp.produc8967755806399881310ar_int)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.int)|)) (= (ho_13443 x z) (ho_13443 y z)))) (= x y))))) (let ((_let_9184 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_14340 v ii) (ite (= i ii) e (ho_14340 u ii)))))))))) (let ((_let_9185 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_14340 x z) (ho_14340 y z)))) (= x y))))) (let ((_let_9186 (forall ((u |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|) (e |u_(-> tptp.nat tptp.product_prod_nat_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.int)) (= (ho_10287 v ii) (ite (= i ii) e (ho_10287 u ii)))))))))) (let ((_let_9187 (forall ((x |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|) (y |u_(-> tptp.int tptp.nat tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.int)) (= (ho_10287 x z) (ho_10287 y z)))) (= x y))))) (let ((_let_9188 (forall ((u |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5669 v ii) (ite (= i ii) e (ho_5669 u ii)))))))))) (let ((_let_9189 (forall ((x |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5669 x z) (ho_5669 y z)))) (= x y))))) (let ((_let_9190 (forall ((u |u_(-> tptp.set_o tptp.set_nat Bool Bool)|) (e |u_(-> tptp.set_nat Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_nat Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7472 v ii) (ite (= i ii) e (ho_7472 u ii)))))))))) (let ((_let_9191 (forall ((x |u_(-> tptp.set_o tptp.set_nat Bool Bool)|) (y |u_(-> tptp.set_o tptp.set_nat Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7472 x z) (ho_7472 y z)))) (= x y))))) (let ((_let_9192 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_9871 v ii) (ite (= i ii) e (ho_9871 u ii)))))))))) (let ((_let_9193 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_9871 x z) (ho_9871 y z)))) (= x y))))) (let ((_let_9194 (forall ((u |u_(-> tptp.nat tptp.set_o tptp.set_nat Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_nat Bool Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_o tptp.set_nat Bool Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7471 v ii) (ite (= i ii) e (ho_7471 u ii)))))))))) (let ((_let_9195 (forall ((x |u_(-> tptp.nat tptp.set_o tptp.set_nat Bool Bool)|) (y |u_(-> tptp.nat tptp.set_o tptp.set_nat Bool Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7471 x z) (ho_7471 y z)))) (= x y))))) (let ((_let_9196 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_10556 v ii) (ite (= i ii) e (ho_10556 u ii)))))))))) (let ((_let_9197 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_10556 x z) (ho_10556 y z)))) (= x y))))) (let ((_let_9198 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.set_nat Bool Bool)|) (e |u_(-> tptp.nat tptp.set_o tptp.set_nat Bool Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.set_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7470 v ii) (ite (= i ii) e (ho_7470 u ii)))))))))) (let ((_let_9199 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.set_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.nat tptp.set_o tptp.set_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7470 x z) (ho_7470 y z)))) (= x y))))) (let ((_let_9200 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10542 v ii) (ite (= i ii) e (ho_10542 u ii)))))))))) (let ((_let_9201 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10542 x z) (ho_10542 y z)))) (= x y))))) (let ((_let_9202 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|) (e |u_(-> tptp.set_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_7556 v ii) (ite (= i ii) e (ho_7556 u ii)))))))))) (let ((_let_9203 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_7556 x z) (ho_7556 y z)))) (= x y))))) (let ((_let_9204 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9759 v ii) (ite (= i ii) e (ho_9759 u ii)))))))))) (let ((_let_9205 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9759 x z) (ho_9759 y z)))) (= x y))))) (let ((_let_9206 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_5960 v ii) (ite (= i ii) e (ho_5960 u ii)))))))))) (let ((_let_9207 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_5960 x z) (ho_5960 y z)))) (= x y))))) (let ((_let_9208 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|) (i |u_(-> tptp.product_prod_int_int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_12769 v ii) (ite (= i ii) e (ho_12769 u ii)))))))))) (let ((_let_9209 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.nat)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.nat)|)) (= (ho_12769 x z) (ho_12769 y z)))) (= x y))))) (let ((_let_9210 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12054 v ii) (ite (= i ii) e (ho_12054 u ii)))))))))) (let ((_let_9211 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc1799199577659733785_ref_a tptp.produc7812382424243267045t_unit)_ tptp.produc1799199577659733785_ref_a tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12054 x z) (ho_12054 y z)))) (= x y))))) (let ((_let_9212 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7396 v ii) (ite (= i ii) e (ho_7396 u ii)))))))))) (let ((_let_9213 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7396 x z) (ho_7396 y z)))) (= x y))))) (let ((_let_9214 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8661 v ii) (ite (= i ii) e (ho_8661 u ii)))))))))) (let ((_let_9215 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8661 x z) (ho_8661 y z)))) (= x y))))) (let ((_let_9216 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_10342 v ii) (ite (= i ii) e (ho_10342 u ii)))))))))) (let ((_let_9217 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_10342 x z) (ho_10342 y z)))) (= x y))))) (let ((_let_9218 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.set_set_o)|) (e |u_(-> tptp.set_nat tptp.set_set_o)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.set_set_o)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7478 v ii) (ite (= i ii) e (ho_7478 u ii)))))))))) (let ((_let_9219 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.set_set_o)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.set_set_o)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7478 x z) (ho_7478 y z)))) (= x y))))) (let ((_let_9220 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7877 v ii) (ite (= i ii) e (ho_7877 u ii)))))))))) (let ((_let_9221 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7877 x z) (ho_7877 y z)))) (= x y))))) (let ((_let_9222 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|) (e tptp.produc8126358835630522215t_unit) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_10424 v ii) (ite (= i ii) e (ho_10424 u ii)))))))))) (let ((_let_9223 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_10424 x z) (ho_10424 y z)))) (= x y))))) (let ((_let_9224 (forall ((u |u_(-> tptp.nat Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7483 v ii) (ite (= i ii) e (ho_7483 u ii)))))))))) (let ((_let_9225 (forall ((x |u_(-> tptp.nat Bool Bool)|) (y |u_(-> tptp.nat Bool Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7483 x z) (ho_7483 y z)))) (= x y))))) (let ((_let_9226 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_15279 v ii) (ite (= i ii) e (ho_15279 u ii)))))))))) (let ((_let_9227 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_15279 x z) (ho_15279 y z)))) (= x y))))) (let ((_let_9228 (forall ((u |u_(-> tptp.set_nat tptp.nat Bool Bool)|) (e |u_(-> tptp.nat Bool Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat Bool Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7482 v ii) (ite (= i ii) e (ho_7482 u ii)))))))))) (let ((_let_9229 (forall ((x |u_(-> tptp.set_nat tptp.nat Bool Bool)|) (y |u_(-> tptp.set_nat tptp.nat Bool Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7482 x z) (ho_7482 y z)))) (= x y))))) (let ((_let_9230 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (e |u_(-> tptp.int tptp.product_unit)|) (i |u_(-> tptp.int tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_unit)|)) (= (ho_8411 v ii) (ite (= i ii) e (ho_8411 u ii)))))))))) (let ((_let_9231 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (y |u_(-> _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_unit)|)) (= (ho_8411 x z) (ho_8411 y z)))) (= x y))))) (let ((_let_9232 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13364 v ii) (ite (= i ii) e (ho_13364 u ii)))))))))) (let ((_let_9233 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13364 x z) (ho_13364 y z)))) (= x y))))) (let ((_let_9234 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.nat Bool Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7481 v ii) (ite (= i ii) e (ho_7481 u ii)))))))))) (let ((_let_9235 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_7481 x z) (ho_7481 y z)))) (= x y))))) (let ((_let_9236 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_14315 v ii) (ite (= i ii) e (ho_14315 u ii)))))))))) (let ((_let_9237 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|)) (= (ho_14315 x z) (ho_14315 y z)))) (= x y))))) (let ((_let_9238 (forall ((u |u_(-> tptp.set_o tptp.set_o Bool Bool)|) (e |u_(-> tptp.set_o Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_o Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7487 v ii) (ite (= i ii) e (ho_7487 u ii)))))))))) (let ((_let_9239 (forall ((x |u_(-> tptp.set_o tptp.set_o Bool Bool)|) (y |u_(-> tptp.set_o tptp.set_o Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7487 x z) (ho_7487 y z)))) (= x y))))) (let ((_let_9240 (forall ((u |u_(-> tptp.code_integer tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((ii tptp.code_integer)) (= (ho_9779 v ii) (ite (= i ii) e (ho_9779 u ii)))))))))) (let ((_let_9241 (forall ((x |u_(-> tptp.code_integer tptp.int Bool)|) (y |u_(-> tptp.code_integer tptp.int Bool)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_9779 x z) (ho_9779 y z)))) (= x y))))) (let ((_let_9242 (forall ((u |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (e |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (i |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (not (forall ((ii |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (= (ho_12210 v ii) (ite (= i ii) e (ho_12210 u ii)))))))))) (let ((_let_9243 (forall ((x |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|) (y |u_(-> _u_(-> tptp.produc2963269191615333738nteger tptp.int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)_ _u_(-> tptp.produc2963269191615333738nteger tptp.produc2963269191615333738nteger)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.produc2963269191615333738nteger tptp.int)|)) (= (ho_12210 x z) (ho_12210 y z)))) (= x y))))) (let ((_let_9244 (forall ((u |u_(-> tptp.set_o tptp.set_set_o)|) (e tptp.set_set_o) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_o)|)) (not (forall ((ii tptp.set_o)) (= (ho_7493 v ii) (ite (= i ii) e (ho_7493 u ii)))))))))) (let ((_let_9245 (forall ((x |u_(-> tptp.set_o tptp.set_set_o)|) (y |u_(-> tptp.set_o tptp.set_set_o)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7493 x z) (ho_7493 y z)))) (= x y))))) (let ((_let_9246 (forall ((u |u_(-> Bool tptp.set_o Bool tptp.set_o)|) (e |u_(-> tptp.set_o Bool tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o Bool tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_7490 v ii) (ite (= i ii) e (ho_7490 u ii)))))))))) (let ((_let_9247 (forall ((x |u_(-> Bool tptp.set_o Bool tptp.set_o)|) (y |u_(-> Bool tptp.set_o Bool tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_7490 x z) (ho_7490 y z)))) (= x y))))) (let ((_let_9248 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_5467 v ii) (ite (= i ii) e (ho_5467 u ii)))))))))) (let ((_let_9249 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_5467 x z) (ho_5467 y z)))) (= x y))))) (let ((_let_9250 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_7851 v ii) (ite (= i ii) e (ho_7851 u ii)))))))))) (let ((_let_9251 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_7851 x z) (ho_7851 y z)))) (= x y))))) (let ((_let_9252 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o Bool tptp.set_o)|) (e |u_(-> Bool tptp.set_o Bool tptp.set_o)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o Bool tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_7489 v ii) (ite (= i ii) e (ho_7489 u ii)))))))))) (let ((_let_9253 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o Bool tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.set_o Bool tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_7489 x z) (ho_7489 y z)))) (= x y))))) (let ((_let_9254 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13533 v ii) (ite (= i ii) e (ho_13533 u ii)))))))))) (let ((_let_9255 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_13533 x z) (ho_13533 y z)))) (= x y))))) (let ((_let_9256 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9737 v ii) (ite (= i ii) e (ho_9737 u ii)))))))))) (let ((_let_9257 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9737 x z) (ho_9737 y z)))) (= x y))))) (let ((_let_9258 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_set_o)|) (e |u_(-> tptp.set_o tptp.set_set_o)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_set_o)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_7492 v ii) (ite (= i ii) e (ho_7492 u ii)))))))))) (let ((_let_9259 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_set_o)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.set_set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_7492 x z) (ho_7492 y z)))) (= x y))))) (let ((_let_9260 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7436 v ii) (ite (= i ii) e (ho_7436 u ii)))))))))) (let ((_let_9261 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.product_prod_rat_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7436 x z) (ho_7436 y z)))) (= x y))))) (let ((_let_9262 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_10455 v ii) (ite (= i ii) e (ho_10455 u ii)))))))))) (let ((_let_9263 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_10455 x z) (ho_10455 y z)))) (= x y))))) (let ((_let_9264 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_14163 v ii) (ite (= i ii) e (ho_14163 u ii)))))))))) (let ((_let_9265 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_14163 x z) (ho_14163 y z)))) (= x y))))) (let ((_let_9266 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool Bool)|) (e |u_(-> tptp.set_o Bool Bool Bool)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_7495 v ii) (ite (= i ii) e (ho_7495 u ii)))))))))) (let ((_let_9267 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_7495 x z) (ho_7495 y z)))) (= x y))))) (let ((_let_9268 (forall ((u |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i tptp.code_integer)) (not (forall ((v |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii tptp.code_integer)) (= (ho_7038 v ii) (ite (= i ii) e (ho_7038 u ii)))))))))) (let ((_let_9269 (forall ((x |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> tptp.code_integer _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z tptp.code_integer)) (= (ho_7038 x z) (ho_7038 y z)))) (= x y))))) (let ((_let_9270 (forall ((u |u_(-> tptp.set_Product_unit Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7501 v ii) (ite (= i ii) e (ho_7501 u ii)))))))))) (let ((_let_9271 (forall ((x |u_(-> tptp.set_Product_unit Bool Bool)|) (y |u_(-> tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7501 x z) (ho_7501 y z)))) (= x y))))) (let ((_let_9272 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.nat)|) (e tptp.nat) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_11924 v ii) (ite (= i ii) e (ho_11924 u ii)))))))))) (let ((_let_9273 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.nat)|) (y |u_(-> tptp.product_prod_num_nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_11924 x z) (ho_11924 y z)))) (= x y))))) (let ((_let_9274 (forall ((u |u_(-> tptp.set_o tptp.set_Product_unit Bool Bool)|) (e |u_(-> tptp.set_Product_unit Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_7500 v ii) (ite (= i ii) e (ho_7500 u ii)))))))))) (let ((_let_9275 (forall ((x |u_(-> tptp.set_o tptp.set_Product_unit Bool Bool)|) (y |u_(-> tptp.set_o tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7500 x z) (ho_7500 y z)))) (= x y))))) (let ((_let_9276 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_9498 v ii) (ite (= i ii) e (ho_9498 u ii)))))))))) (let ((_let_9277 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_9498 x z) (ho_9498 y z)))) (= x y))))) (let ((_let_9278 (forall ((u |u_(-> tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|) (e |u_(-> tptp.set_o tptp.set_Product_unit Bool Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7499 v ii) (ite (= i ii) e (ho_7499 u ii)))))))))) (let ((_let_9279 (forall ((x |u_(-> tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|) (y |u_(-> tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7499 x z) (ho_7499 y z)))) (= x y))))) (let ((_let_9280 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9736 v ii) (ite (= i ii) e (ho_9736 u ii)))))))))) (let ((_let_9281 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9736 x z) (ho_9736 y z)))) (= x y))))) (let ((_let_9282 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_14013 v ii) (ite (= i ii) e (ho_14013 u ii)))))))))) (let ((_let_9283 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_14013 x z) (ho_14013 y z)))) (= x y))))) (let ((_let_9284 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_5002 v ii) (ite (= i ii) e (ho_5002 u ii)))))))))) (let ((_let_9285 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_5002 x z) (ho_5002 y z)))) (= x y))))) (let ((_let_9286 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_9000 v ii) (ite (= i ii) e (ho_9000 u ii)))))))))) (let ((_let_9287 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_9000 x z) (ho_9000 y z)))) (= x y))))) (let ((_let_9288 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|) (e |u_(-> tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7498 v ii) (ite (= i ii) e (ho_7498 u ii)))))))))) (let ((_let_9289 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7498 x z) (ho_7498 y z)))) (= x y))))) (let ((_let_9290 (forall ((u |u_(-> _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (e |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (i |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (not (forall ((ii |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (= (ho_15648 v ii) (ite (= i ii) e (ho_15648 u ii)))))))))) (let ((_let_9291 (forall ((x |u_(-> _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|) (y |u_(-> _u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)_ tptp.set_Pr4111642102156807771nteger tptp.set_Code_integer)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4111642102156807771nteger tptp.set_Co726186806682698383nteger)|)) (= (ho_15648 x z) (ho_15648 y z)))) (= x y))))) (let ((_let_9292 (forall ((u |u_(-> tptp.rat _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_8115 v ii) (ite (= i ii) e (ho_8115 u ii)))))))))) (let ((_let_9293 (forall ((x |u_(-> tptp.rat _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.rat _u_(-> Bool tptp.rat)_ Bool tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_8115 x z) (ho_8115 y z)))) (= x y))))) (let ((_let_9294 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7503 v ii) (ite (= i ii) e (ho_7503 u ii)))))))))) (let ((_let_9295 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_7503 x z) (ho_7503 y z)))) (= x y))))) (let ((_let_9296 (forall ((u |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5563 v ii) (ite (= i ii) e (ho_5563 u ii)))))))))) (let ((_let_9297 (forall ((x |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5563 x z) (ho_5563 y z)))) (= x y))))) (let ((_let_9298 (forall ((u |u_(-> tptp.product_unit Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7511 v ii) (ite (= i ii) e (ho_7511 u ii)))))))))) (let ((_let_9299 (forall ((x |u_(-> tptp.product_unit Bool Bool)|) (y |u_(-> tptp.product_unit Bool Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7511 x z) (ho_7511 y z)))) (= x y))))) (let ((_let_9300 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|) (e |u_(-> _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_13388 v ii) (ite (= i ii) e (ho_13388 u ii)))))))))) (let ((_let_9301 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|) (y |u_(-> tptp.set_char _u_(-> tptp.char tptp.set_char)_ tptp.set_Pr3309569728657787619r_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_13388 x z) (ho_13388 y z)))) (= x y))))) (let ((_let_9302 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_9283 v ii) (ite (= i ii) e (ho_9283 u ii)))))))))) (let ((_let_9303 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_9283 x z) (ho_9283 y z)))) (= x y))))) (let ((_let_9304 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_12868 v ii) (ite (= i ii) e (ho_12868 u ii)))))))))) (let ((_let_9305 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ _u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (= (ho_12868 x z) (ho_12868 y z)))) (= x y))))) (let ((_let_9306 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13584 v ii) (ite (= i ii) e (ho_13584 u ii)))))))))) (let ((_let_9307 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_13584 x z) (ho_13584 y z)))) (= x y))))) (let ((_let_9308 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10113 v ii) (ite (= i ii) e (ho_10113 u ii)))))))))) (let ((_let_9309 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10113 x z) (ho_10113 y z)))) (= x y))))) (let ((_let_9310 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_11156 v ii) (ite (= i ii) e (ho_11156 u ii)))))))))) (let ((_let_9311 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_11156 x z) (ho_11156 y z)))) (= x y))))) (let ((_let_9312 (forall ((u |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9552 v ii) (ite (= i ii) e (ho_9552 u ii)))))))))) (let ((_let_9313 (forall ((x |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9552 x z) (ho_9552 y z)))) (= x y))))) (let ((_let_9314 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_o)|) (e tptp.set_o) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_o)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12158 v ii) (ite (= i ii) e (ho_12158 u ii)))))))))) (let ((_let_9315 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_o)|) (y |u_(-> tptp.product_prod_int_int tptp.set_o)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12158 x z) (ho_12158 y z)))) (= x y))))) (let ((_let_9316 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7602 v ii) (ite (= i ii) e (ho_7602 u ii)))))))))) (let ((_let_9317 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7602 x z) (ho_7602 y z)))) (= x y))))) (let ((_let_9318 (forall ((u |u_(-> tptp.nat tptp.num tptp.set_int)|) (e |u_(-> tptp.num tptp.set_int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.set_int)|)) (not (forall ((ii tptp.nat)) (= (ho_12141 v ii) (ite (= i ii) e (ho_12141 u ii)))))))))) (let ((_let_9319 (forall ((x |u_(-> tptp.nat tptp.num tptp.set_int)|) (y |u_(-> tptp.nat tptp.num tptp.set_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_12141 x z) (ho_12141 y z)))) (= x y))))) (let ((_let_9320 (forall ((u |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_5009 v ii) (ite (= i ii) e (ho_5009 u ii)))))))))) (let ((_let_9321 (forall ((x |u_(-> tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_5009 x z) (ho_5009 y z)))) (= x y))))) (let ((_let_9322 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.int tptp.set_o)|) (e |u_(-> tptp.int tptp.set_o tptp.int tptp.set_o)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.int tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_7518 v ii) (ite (= i ii) e (ho_7518 u ii)))))))))) (let ((_let_9323 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.int tptp.set_o)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.int tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_7518 x z) (ho_7518 y z)))) (= x y))))) (let ((_let_9324 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.set_set_o)|) (e |u_(-> tptp.set_int tptp.set_set_o)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.set_set_o)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_7522 v ii) (ite (= i ii) e (ho_7522 u ii)))))))))) (let ((_let_9325 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.set_set_o)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.set_set_o)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_7522 x z) (ho_7522 y z)))) (= x y))))) (let ((_let_9326 (forall ((u |u_(-> tptp.int Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int Bool Bool)|)) (not (forall ((ii tptp.int)) (= (ho_7527 v ii) (ite (= i ii) e (ho_7527 u ii)))))))))) (let ((_let_9327 (forall ((x |u_(-> tptp.int Bool Bool)|) (y |u_(-> tptp.int Bool Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_7527 x z) (ho_7527 y z)))) (= x y))))) (let ((_let_9328 (forall ((u |u_(-> tptp.set_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_6900 v ii) (ite (= i ii) e (ho_6900 u ii)))))))))) (let ((_let_9329 (forall ((x |u_(-> tptp.set_nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_6900 x z) (ho_6900 y z)))) (= x y))))) (let ((_let_9330 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_16028 v ii) (ite (= i ii) e (ho_16028 u ii)))))))))) (let ((_let_9331 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_16028 x z) (ho_16028 y z)))) (= x y))))) (let ((_let_9332 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_7933 v ii) (ite (= i ii) e (ho_7933 u ii)))))))))) (let ((_let_9333 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_7933 x z) (ho_7933 y z)))) (= x y))))) (let ((_let_9334 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_5220 v ii) (ite (= i ii) e (ho_5220 u ii)))))))))) (let ((_let_9335 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_5220 x z) (ho_5220 y z)))) (= x y))))) (let ((_let_9336 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_12856 v ii) (ite (= i ii) e (ho_12856 u ii)))))))))) (let ((_let_9337 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_12856 x z) (ho_12856 y z)))) (= x y))))) (let ((_let_9338 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.set_int Bool Bool)|) (e |u_(-> tptp.int tptp.set_o tptp.set_int Bool Bool)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.set_int Bool Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_7513 v ii) (ite (= i ii) e (ho_7513 u ii)))))))))) (let ((_let_9339 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.set_int Bool Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int tptp.set_o tptp.set_int Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_7513 x z) (ho_7513 y z)))) (= x y))))) (let ((_let_9340 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10952 v ii) (ite (= i ii) e (ho_10952 u ii)))))))))) (let ((_let_9341 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10952 x z) (ho_10952 y z)))) (= x y))))) (let ((_let_9342 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_12815 v ii) (ite (= i ii) e (ho_12815 u ii)))))))))) (let ((_let_9343 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_12815 x z) (ho_12815 y z)))) (= x y))))) (let ((_let_9344 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10916 v ii) (ite (= i ii) e (ho_10916 u ii)))))))))) (let ((_let_9345 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10916 x z) (ho_10916 y z)))) (= x y))))) (let ((_let_9346 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_int)|) (e tptp.set_int) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12165 v ii) (ite (= i ii) e (ho_12165 u ii)))))))))) (let ((_let_9347 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_int)|) (y |u_(-> tptp.product_prod_int_int tptp.set_int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12165 x z) (ho_12165 y z)))) (= x y))))) (let ((_let_9348 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_7536 v ii) (ite (= i ii) e (ho_7536 u ii)))))))))) (let ((_let_9349 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_7536 x z) (ho_7536 y z)))) (= x y))))) (let ((_let_9350 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_12708 v ii) (ite (= i ii) e (ho_12708 u ii)))))))))) (let ((_let_9351 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_12708 x z) (ho_12708 y z)))) (= x y))))) (let ((_let_9352 (forall ((u |u_(-> tptp.set_nat tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_set_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7553 v ii) (ite (= i ii) e (ho_7553 u ii)))))))))) (let ((_let_9353 (forall ((x |u_(-> tptp.set_nat tptp.set_set_int)|) (y |u_(-> tptp.set_nat tptp.set_set_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7553 x z) (ho_7553 y z)))) (= x y))))) (let ((_let_9354 (forall ((u |u_(-> tptp.set_nat tptp.set_Product_unit)|) (e tptp.set_Product_unit) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14945 v ii) (ite (= i ii) e (ho_14945 u ii)))))))))) (let ((_let_9355 (forall ((x |u_(-> tptp.set_nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14945 x z) (ho_14945 y z)))) (= x y))))) (let ((_let_9356 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> tptp.nat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_16027 v ii) (ite (= i ii) e (ho_16027 u ii)))))))))) (let ((_let_9357 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_16027 x z) (ho_16027 y z)))) (= x y))))) (let ((_let_9358 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_8398 v ii) (ite (= i ii) e (ho_8398 u ii)))))))))) (let ((_let_9359 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_8398 x z) (ho_8398 y z)))) (= x y))))) (let ((_let_9360 (forall ((u |u_(-> tptp.set_set_nat tptp.set_set_nat Bool)|) (e |u_(-> tptp.set_set_nat Bool)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_set_nat Bool)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_13329 v ii) (ite (= i ii) e (ho_13329 u ii)))))))))) (let ((_let_9361 (forall ((x |u_(-> tptp.set_set_nat tptp.set_set_nat Bool)|) (y |u_(-> tptp.set_set_nat tptp.set_set_nat Bool)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_13329 x z) (ho_13329 y z)))) (= x y))))) (let ((_let_9362 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7822 v ii) (ite (= i ii) e (ho_7822 u ii)))))))))) (let ((_let_9363 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7822 x z) (ho_7822 y z)))) (= x y))))) (let ((_let_9364 (forall ((u |u_(-> tptp.ref_a tptp.ref_a Bool)|) (e |u_(-> tptp.ref_a Bool)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_12025 v ii) (ite (= i ii) e (ho_12025 u ii)))))))))) (let ((_let_9365 (forall ((x |u_(-> tptp.ref_a tptp.ref_a Bool)|) (y |u_(-> tptp.ref_a tptp.ref_a Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_12025 x z) (ho_12025 y z)))) (= x y))))) (let ((_let_9366 (forall ((u |u_(-> _u_(-> Bool Bool)_ tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_8407 v ii) (ite (= i ii) e (ho_8407 u ii)))))))))) (let ((_let_9367 (forall ((x |u_(-> _u_(-> Bool Bool)_ tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ tptp.set_o _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_8407 x z) (ho_8407 y z)))) (= x y))))) (let ((_let_9368 (forall ((u |u_(-> tptp.set_set_nat tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_set_int)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_9229 v ii) (ite (= i ii) e (ho_9229 u ii)))))))))) (let ((_let_9369 (forall ((x |u_(-> tptp.set_set_nat tptp.set_set_int)|) (y |u_(-> tptp.set_set_nat tptp.set_set_int)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_9229 x z) (ho_9229 y z)))) (= x y))))) (let ((_let_9370 (forall ((u |u_(-> Bool tptp.set_rat)|) (e tptp.set_rat) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_rat)|)) (not (forall ((ii Bool)) (= (ho_7574 v ii) (ite (= i ii) e (ho_7574 u ii)))))))))) (let ((_let_9371 (forall ((x |u_(-> Bool tptp.set_rat)|) (y |u_(-> Bool tptp.set_rat)|)) (or (not (forall ((z Bool)) (= (ho_7574 x z) (ho_7574 y z)))) (= x y))))) (let ((_let_9372 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_16026 v ii) (ite (= i ii) e (ho_16026 u ii)))))))))) (let ((_let_9373 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_16026 x z) (ho_16026 y z)))) (= x y))))) (let ((_let_9374 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_10073 v ii) (ite (= i ii) e (ho_10073 u ii)))))))))) (let ((_let_9375 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.product_prod_int_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_10073 x z) (ho_10073 y z)))) (= x y))))) (let ((_let_9376 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_7577 v ii) (ite (= i ii) e (ho_7577 u ii)))))))))) (let ((_let_9377 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_7577 x z) (ho_7577 y z)))) (= x y))))) (let ((_let_9378 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_7583 v ii) (ite (= i ii) e (ho_7583 u ii)))))))))) (let ((_let_9379 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_7583 x z) (ho_7583 y z)))) (= x y))))) (let ((_let_9380 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_16025 v ii) (ite (= i ii) e (ho_16025 u ii)))))))))) (let ((_let_9381 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_16025 x z) (ho_16025 y z)))) (= x y))))) (let ((_let_9382 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_7599 v ii) (ite (= i ii) e (ho_7599 u ii)))))))))) (let ((_let_9383 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_7599 x z) (ho_7599 y z)))) (= x y))))) (let ((_let_9384 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15435 v ii) (ite (= i ii) e (ho_15435 u ii)))))))))) (let ((_let_9385 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15435 x z) (ho_15435 y z)))) (= x y))))) (let ((_let_9386 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_10302 v ii) (ite (= i ii) e (ho_10302 u ii)))))))))) (let ((_let_9387 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_10302 x z) (ho_10302 y z)))) (= x y))))) (let ((_let_9388 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|) (e |u_(-> tptp.nat tptp.rat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_6786 v ii) (ite (= i ii) e (ho_6786 u ii)))))))))) (let ((_let_9389 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_6786 x z) (ho_6786 y z)))) (= x y))))) (let ((_let_9390 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_10486 v ii) (ite (= i ii) e (ho_10486 u ii)))))))))) (let ((_let_9391 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.product_prod_num_num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_10486 x z) (ho_10486 y z)))) (= x y))))) (let ((_let_9392 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7626 v ii) (ite (= i ii) e (ho_7626 u ii)))))))))) (let ((_let_9393 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7626 x z) (ho_7626 y z)))) (= x y))))) (let ((_let_9394 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7634 v ii) (ite (= i ii) e (ho_7634 u ii)))))))))) (let ((_let_9395 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7634 x z) (ho_7634 y z)))) (= x y))))) (let ((_let_9396 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12724 v ii) (ite (= i ii) e (ho_12724 u ii)))))))))) (let ((_let_9397 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ tptp.produc7812382424243267045t_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.int)|)) (= (ho_12724 x z) (ho_12724 y z)))) (= x y))))) (let ((_let_9398 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|) (e |u_(-> tptp.product_unit tptp.set_char)|) (i |u_(-> tptp.product_unit tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_char)|)) (= (ho_8876 v ii) (ite (= i ii) e (ho_8876 u ii)))))))))) (let ((_let_9399 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_char)|)) (= (ho_8876 x z) (ho_8876 y z)))) (= x y))))) (let ((_let_9400 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_nat tptp.set_char)|) (e |u_(-> tptp.set_nat tptp.set_char)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_nat tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_15592 v ii) (ite (= i ii) e (ho_15592 u ii)))))))))) (let ((_let_9401 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_nat tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ tptp.set_nat tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_15592 x z) (ho_15592 y z)))) (= x y))))) (let ((_let_9402 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_10348 v ii) (ite (= i ii) e (ho_10348 u ii)))))))))) (let ((_let_9403 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_10348 x z) (ho_10348 y z)))) (= x y))))) (let ((_let_9404 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (= (ho_14234 v ii) (ite (= i ii) e (ho_14234 u ii)))))))))) (let ((_let_9405 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)_ _u_(-> tptp.char tptp.int)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (= (ho_14234 x z) (ho_14234 y z)))) (= x y))))) (let ((_let_9406 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_7636 v ii) (ite (= i ii) e (ho_7636 u ii)))))))))) (let ((_let_9407 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_7636 x z) (ho_7636 y z)))) (= x y))))) (let ((_let_9408 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit Bool)|) (e |u_(-> tptp.set_Product_unit Bool)|) (i |u_(-> tptp.product_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_15353 v ii) (ite (= i ii) e (ho_15353 u ii)))))))))) (let ((_let_9409 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.set_Product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_15353 x z) (ho_15353 y z)))) (= x y))))) (let ((_let_9410 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7650 v ii) (ite (= i ii) e (ho_7650 u ii)))))))))) (let ((_let_9411 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7650 x z) (ho_7650 y z)))) (= x y))))) (let ((_let_9412 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7653 v ii) (ite (= i ii) e (ho_7653 u ii)))))))))) (let ((_let_9413 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7653 x z) (ho_7653 y z)))) (= x y))))) (let ((_let_9414 (forall ((u |u_(-> tptp.set_set_rat tptp.set_set_rat Bool)|) (e |u_(-> tptp.set_set_rat Bool)|) (i tptp.set_set_rat)) (not (forall ((v |u_(-> tptp.set_set_rat tptp.set_set_rat Bool)|)) (not (forall ((ii tptp.set_set_rat)) (= (ho_13326 v ii) (ite (= i ii) e (ho_13326 u ii)))))))))) (let ((_let_9415 (forall ((x |u_(-> tptp.set_set_rat tptp.set_set_rat Bool)|) (y |u_(-> tptp.set_set_rat tptp.set_set_rat Bool)|)) (or (not (forall ((z tptp.set_set_rat)) (= (ho_13326 x z) (ho_13326 y z)))) (= x y))))) (let ((_let_9416 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_16024 v ii) (ite (= i ii) e (ho_16024 u ii)))))))))) (let ((_let_9417 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_16024 x z) (ho_16024 y z)))) (= x y))))) (let ((_let_9418 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5621 v ii) (ite (= i ii) e (ho_5621 u ii)))))))))) (let ((_let_9419 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5621 x z) (ho_5621 y z)))) (= x y))))) (let ((_let_9420 (forall ((u |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7671 v ii) (ite (= i ii) e (ho_7671 u ii)))))))))) (let ((_let_9421 (forall ((x |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7671 x z) (ho_7671 y z)))) (= x y))))) (let ((_let_9422 (forall ((u |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|) (e |u_(-> _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|) (i tptp.set_ref_a)) (not (forall ((v |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|)) (not (forall ((ii tptp.set_ref_a)) (= (ho_9849 v ii) (ite (= i ii) e (ho_9849 u ii)))))))))) (let ((_let_9423 (forall ((x |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|) (y |u_(-> tptp.set_ref_a _u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)_ tptp.ref_a Bool)|)) (or (not (forall ((z tptp.set_ref_a)) (= (ho_9849 x z) (ho_9849 y z)))) (= x y))))) (let ((_let_9424 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7670 v ii) (ite (= i ii) e (ho_7670 u ii)))))))))) (let ((_let_9425 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7670 x z) (ho_7670 y z)))) (= x y))))) (let ((_let_9426 (forall ((u |u_(-> tptp.set_nat tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_o tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7682 v ii) (ite (= i ii) e (ho_7682 u ii)))))))))) (let ((_let_9427 (forall ((x |u_(-> tptp.set_nat tptp.set_o tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7682 x z) (ho_7682 y z)))) (= x y))))) (let ((_let_9428 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5950 v ii) (ite (= i ii) e (ho_5950 u ii)))))))))) (let ((_let_9429 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5950 x z) (ho_5950 y z)))) (= x y))))) (let ((_let_9430 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|) (e |u_(-> tptp.rat tptp.int)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_15734 v ii) (ite (= i ii) e (ho_15734 u ii)))))))))) (let ((_let_9431 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.rat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_15734 x z) (ho_15734 y z)))) (= x y))))) (let ((_let_9432 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.set_o tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_o tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.set_o tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_7681 v ii) (ite (= i ii) e (ho_7681 u ii)))))))))) (let ((_let_9433 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.set_o tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_nat tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_7681 x z) (ho_7681 y z)))) (= x y))))) (let ((_let_9434 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.set_nat)_ tptp.product_prod_int_int tptp.set_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.set_nat)|) (i |u_(-> tptp.int tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.set_nat)_ tptp.product_prod_int_int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.set_nat)|)) (= (ho_12161 v ii) (ite (= i ii) e (ho_12161 u ii)))))))))) (let ((_let_9435 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.set_nat)_ tptp.product_prod_int_int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.set_nat)_ tptp.product_prod_int_int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.set_nat)|)) (= (ho_12161 x z) (ho_12161 y z)))) (= x y))))) (let ((_let_9436 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7687 v ii) (ite (= i ii) e (ho_7687 u ii)))))))))) (let ((_let_9437 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7687 x z) (ho_7687 y z)))) (= x y))))) (let ((_let_9438 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12995 v ii) (ite (= i ii) e (ho_12995 u ii)))))))))) (let ((_let_9439 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc101387210554329899nteger)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_12995 x z) (ho_12995 y z)))) (= x y))))) (let ((_let_9440 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7692 v ii) (ite (= i ii) e (ho_7692 u ii)))))))))) (let ((_let_9441 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7692 x z) (ho_7692 y z)))) (= x y))))) (let ((_let_9442 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.int tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.nat)|)) (= (ho_10806 v ii) (ite (= i ii) e (ho_10806 u ii)))))))))) (let ((_let_9443 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.nat)|)) (= (ho_10806 x z) (ho_10806 y z)))) (= x y))))) (let ((_let_9444 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_10354 v ii) (ite (= i ii) e (ho_10354 u ii)))))))))) (let ((_let_9445 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_10354 x z) (ho_10354 y z)))) (= x y))))) (let ((_let_9446 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (= (ho_10084 v ii) (ite (= i ii) e (ho_10084 u ii)))))))))) (let ((_let_9447 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (= (ho_10084 x z) (ho_10084 y z)))) (= x y))))) (let ((_let_9448 (forall ((u |u_(-> tptp.set_nat tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7172 v ii) (ite (= i ii) e (ho_7172 u ii)))))))))) (let ((_let_9449 (forall ((x |u_(-> tptp.set_nat tptp.set_rat)|) (y |u_(-> tptp.set_nat tptp.set_rat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7172 x z) (ho_7172 y z)))) (= x y))))) (let ((_let_9450 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_o tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7706 v ii) (ite (= i ii) e (ho_7706 u ii)))))))))) (let ((_let_9451 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_o tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7706 x z) (ho_7706 y z)))) (= x y))))) (let ((_let_9452 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_6065 v ii) (ite (= i ii) e (ho_6065 u ii)))))))))) (let ((_let_9453 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_6065 x z) (ho_6065 y z)))) (= x y))))) (let ((_let_9454 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7720 v ii) (ite (= i ii) e (ho_7720 u ii)))))))))) (let ((_let_9455 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7720 x z) (ho_7720 y z)))) (= x y))))) (let ((_let_9456 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6893 v ii) (ite (= i ii) e (ho_6893 u ii)))))))))) (let ((_let_9457 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.set_Product_unit tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_6893 x z) (ho_6893 y z)))) (= x y))))) (let ((_let_9458 (forall ((u |u_(-> tptp.int _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_10810 v ii) (ite (= i ii) e (ho_10810 u ii)))))))))) (let ((_let_9459 (forall ((x |u_(-> tptp.int _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.int _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_10810 x z) (ho_10810 y z)))) (= x y))))) (let ((_let_9460 (forall ((u |u_(-> tptp.set_char tptp.set_o tptp.set_char_o)|) (e |u_(-> tptp.set_o tptp.set_char_o)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_o tptp.set_char_o)|)) (not (forall ((ii tptp.set_char)) (= (ho_15483 v ii) (ite (= i ii) e (ho_15483 u ii)))))))))) (let ((_let_9461 (forall ((x |u_(-> tptp.set_char tptp.set_o tptp.set_char_o)|) (y |u_(-> tptp.set_char tptp.set_o tptp.set_char_o)|)) (or (not (forall ((z tptp.set_char)) (= (ho_15483 x z) (ho_15483 y z)))) (= x y))))) (let ((_let_9462 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_14067 v ii) (ite (= i ii) e (ho_14067 u ii)))))))))) (let ((_let_9463 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_14067 x z) (ho_14067 y z)))) (= x y))))) (let ((_let_9464 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7732 v ii) (ite (= i ii) e (ho_7732 u ii)))))))))) (let ((_let_9465 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7732 x z) (ho_7732 y z)))) (= x y))))) (let ((_let_9466 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_15814 v ii) (ite (= i ii) e (ho_15814 u ii)))))))))) (let ((_let_9467 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_15814 x z) (ho_15814 y z)))) (= x y))))) (let ((_let_9468 (forall ((u |u_(-> tptp.rat tptp.num)|) (e tptp.num) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.num)|)) (not (forall ((ii tptp.rat)) (= (ho_10954 v ii) (ite (= i ii) e (ho_10954 u ii)))))))))) (let ((_let_9469 (forall ((x |u_(-> tptp.rat tptp.num)|) (y |u_(-> tptp.rat tptp.num)|)) (or (not (forall ((z tptp.rat)) (= (ho_10954 x z) (ho_10954 y z)))) (= x y))))) (let ((_let_9470 (forall ((u |u_(-> tptp.int tptp.product_prod_rat_nat)|) (e tptp.product_prod_rat_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_prod_rat_nat)|)) (not (forall ((ii tptp.int)) (= (ho_10322 v ii) (ite (= i ii) e (ho_10322 u ii)))))))))) (let ((_let_9471 (forall ((x |u_(-> tptp.int tptp.product_prod_rat_nat)|) (y |u_(-> tptp.int tptp.product_prod_rat_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_10322 x z) (ho_10322 y z)))) (= x y))))) (let ((_let_9472 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8468 v ii) (ite (= i ii) e (ho_8468 u ii)))))))))) (let ((_let_9473 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8468 x z) (ho_8468 y z)))) (= x y))))) (let ((_let_9474 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8622 v ii) (ite (= i ii) e (ho_8622 u ii)))))))))) (let ((_let_9475 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8622 x z) (ho_8622 y z)))) (= x y))))) (let ((_let_9476 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7731 v ii) (ite (= i ii) e (ho_7731 u ii)))))))))) (let ((_let_9477 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7731 x z) (ho_7731 y z)))) (= x y))))) (let ((_let_9478 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_7734 v ii) (ite (= i ii) e (ho_7734 u ii)))))))))) (let ((_let_9479 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_7734 x z) (ho_7734 y z)))) (= x y))))) (let ((_let_9480 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10605 v ii) (ite (= i ii) e (ho_10605 u ii)))))))))) (let ((_let_9481 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.int Bool)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10605 x z) (ho_10605 y z)))) (= x y))))) (let ((_let_9482 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10849 v ii) (ite (= i ii) e (ho_10849 u ii)))))))))) (let ((_let_9483 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10849 x z) (ho_10849 y z)))) (= x y))))) (let ((_let_9484 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.int tptp.rat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_8096 v ii) (ite (= i ii) e (ho_8096 u ii)))))))))) (let ((_let_9485 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.int tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_8096 x z) (ho_8096 y z)))) (= x y))))) (let ((_let_9486 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_12104 v ii) (ite (= i ii) e (ho_12104 u ii)))))))))) (let ((_let_9487 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_12104 x z) (ho_12104 y z)))) (= x y))))) (let ((_let_9488 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7750 v ii) (ite (= i ii) e (ho_7750 u ii)))))))))) (let ((_let_9489 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7750 x z) (ho_7750 y z)))) (= x y))))) (let ((_let_9490 (forall ((u |u_(-> tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7754 v ii) (ite (= i ii) e (ho_7754 u ii)))))))))) (let ((_let_9491 (forall ((x |u_(-> tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7754 x z) (ho_7754 y z)))) (= x y))))) (let ((_let_9492 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7663 v ii) (ite (= i ii) e (ho_7663 u ii)))))))))) (let ((_let_9493 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7663 x z) (ho_7663 y z)))) (= x y))))) (let ((_let_9494 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8632 v ii) (ite (= i ii) e (ho_8632 u ii)))))))))) (let ((_let_9495 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8632 x z) (ho_8632 y z)))) (= x y))))) (let ((_let_9496 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7757 v ii) (ite (= i ii) e (ho_7757 u ii)))))))))) (let ((_let_9497 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7757 x z) (ho_7757 y z)))) (= x y))))) (let ((_let_9498 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_8645 v ii) (ite (= i ii) e (ho_8645 u ii)))))))))) (let ((_let_9499 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_8645 x z) (ho_8645 y z)))) (= x y))))) (let ((_let_9500 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13060 v ii) (ite (= i ii) e (ho_13060 u ii)))))))))) (let ((_let_9501 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13060 x z) (ho_13060 y z)))) (= x y))))) (let ((_let_9502 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7763 v ii) (ite (= i ii) e (ho_7763 u ii)))))))))) (let ((_let_9503 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr8693737435421807431at_nat)_ tptp.set_o Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7763 x z) (ho_7763 y z)))) (= x y))))) (let ((_let_9504 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10196 v ii) (ite (= i ii) e (ho_10196 u ii)))))))))) (let ((_let_9505 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10196 x z) (ho_10196 y z)))) (= x y))))) (let ((_let_9506 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10706 v ii) (ite (= i ii) e (ho_10706 u ii)))))))))) (let ((_let_9507 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10706 x z) (ho_10706 y z)))) (= x y))))) (let ((_let_9508 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13925 v ii) (ite (= i ii) e (ho_13925 u ii)))))))))) (let ((_let_9509 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.char Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13925 x z) (ho_13925 y z)))) (= x y))))) (let ((_let_9510 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7771 v ii) (ite (= i ii) e (ho_7771 u ii)))))))))) (let ((_let_9511 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7771 x z) (ho_7771 y z)))) (= x y))))) (let ((_let_9512 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_5891 v ii) (ite (= i ii) e (ho_5891 u ii)))))))))) (let ((_let_9513 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_5891 x z) (ho_5891 y z)))) (= x y))))) (let ((_let_9514 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7770 v ii) (ite (= i ii) e (ho_7770 u ii)))))))))) (let ((_let_9515 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7770 x z) (ho_7770 y z)))) (= x y))))) (let ((_let_9516 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_7721 v ii) (ite (= i ii) e (ho_7721 u ii)))))))))) (let ((_let_9517 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_7721 x z) (ho_7721 y z)))) (= x y))))) (let ((_let_9518 (forall ((u |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_10829 v ii) (ite (= i ii) e (ho_10829 u ii)))))))))) (let ((_let_9519 (forall ((x |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> Bool _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_10829 x z) (ho_10829 y z)))) (= x y))))) (let ((_let_9520 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14806 v ii) (ite (= i ii) e (ho_14806 u ii)))))))))) (let ((_let_9521 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)_ _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.code_integer tptp.code_integer)_ Bool)|)) (= (ho_14806 x z) (ho_14806 y z)))) (= x y))))) (let ((_let_9522 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_6068 v ii) (ite (= i ii) e (ho_6068 u ii)))))))))) (let ((_let_9523 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_6068 x z) (ho_6068 y z)))) (= x y))))) (let ((_let_9524 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7774 v ii) (ite (= i ii) e (ho_7774 u ii)))))))))) (let ((_let_9525 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7774 x z) (ho_7774 y z)))) (= x y))))) (let ((_let_9526 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_6347 v ii) (ite (= i ii) e (ho_6347 u ii)))))))))) (let ((_let_9527 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_6347 x z) (ho_6347 y z)))) (= x y))))) (let ((_let_9528 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8673 v ii) (ite (= i ii) e (ho_8673 u ii)))))))))) (let ((_let_9529 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8673 x z) (ho_8673 y z)))) (= x y))))) (let ((_let_9530 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7780 v ii) (ite (= i ii) e (ho_7780 u ii)))))))))) (let ((_let_9531 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7780 x z) (ho_7780 y z)))) (= x y))))) (let ((_let_9532 (forall ((u |u_(-> tptp.int tptp.set_rat)|) (e tptp.set_rat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_rat)|)) (not (forall ((ii tptp.int)) (= (ho_7406 v ii) (ite (= i ii) e (ho_7406 u ii)))))))))) (let ((_let_9533 (forall ((x |u_(-> tptp.int tptp.set_rat)|) (y |u_(-> tptp.int tptp.set_rat)|)) (or (not (forall ((z tptp.int)) (= (ho_7406 x z) (ho_7406 y z)))) (= x y))))) (let ((_let_9534 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_14850 v ii) (ite (= i ii) e (ho_14850 u ii)))))))))) (let ((_let_9535 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_int_nat tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_14850 x z) (ho_14850 y z)))) (= x y))))) (let ((_let_9536 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7804 v ii) (ite (= i ii) e (ho_7804 u ii)))))))))) (let ((_let_9537 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7804 x z) (ho_7804 y z)))) (= x y))))) (let ((_let_9538 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12775 v ii) (ite (= i ii) e (ho_12775 u ii)))))))))) (let ((_let_9539 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ Bool)|)) (= (ho_12775 x z) (ho_12775 y z)))) (= x y))))) (let ((_let_9540 (forall ((u |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (e tptp.set_Pr5094982260447487303t_unit) (i tptp.set_Pr5094982260447487303t_unit)) (not (forall ((v |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|)) (not (forall ((ii tptp.set_Pr5094982260447487303t_unit)) (= (ho_15077 v ii) (ite (= i ii) e (ho_15077 u ii)))))))))) (let ((_let_9541 (forall ((x |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|) (y |u_(-> tptp.set_Pr5094982260447487303t_unit tptp.set_Pr5094982260447487303t_unit)|)) (or (not (forall ((z tptp.set_Pr5094982260447487303t_unit)) (= (ho_15077 x z) (ho_15077 y z)))) (= x y))))) (let ((_let_9542 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_6282 v ii) (ite (= i ii) e (ho_6282 u ii)))))))))) (let ((_let_9543 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_6282 x z) (ho_6282 y z)))) (= x y))))) (let ((_let_9544 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ Bool)|) (e Bool) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_13699 v ii) (ite (= i ii) e (ho_13699 u ii)))))))))) (let ((_let_9545 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_13699 x z) (ho_13699 y z)))) (= x y))))) (let ((_let_9546 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool)|) (e Bool) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_15528 v ii) (ite (= i ii) e (ho_15528 u ii)))))))))) (let ((_let_9547 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_15528 x z) (ho_15528 y z)))) (= x y))))) (let ((_let_9548 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ Bool)|) (e Bool) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_15536 v ii) (ite (= i ii) e (ho_15536 u ii)))))))))) (let ((_let_9549 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_15536 x z) (ho_15536 y z)))) (= x y))))) (let ((_let_9550 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12105 v ii) (ite (= i ii) e (ho_12105 u ii)))))))))) (let ((_let_9551 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12105 x z) (ho_12105 y z)))) (= x y))))) (let ((_let_9552 (forall ((u |u_(-> tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_7831 v ii) (ite (= i ii) e (ho_7831 u ii)))))))))) (let ((_let_9553 (forall ((x |u_(-> tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_o tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_7831 x z) (ho_7831 y z)))) (= x y))))) (let ((_let_9554 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13013 v ii) (ite (= i ii) e (ho_13013 u ii)))))))))) (let ((_let_9555 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_13013 x z) (ho_13013 y z)))) (= x y))))) (let ((_let_9556 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6389 v ii) (ite (= i ii) e (ho_6389 u ii)))))))))) (let ((_let_9557 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_6389 x z) (ho_6389 y z)))) (= x y))))) (let ((_let_9558 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8623 v ii) (ite (= i ii) e (ho_8623 u ii)))))))))) (let ((_let_9559 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8623 x z) (ho_8623 y z)))) (= x y))))) (let ((_let_9560 (forall ((u |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|) (i |u_(-> tptp.rat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.rat tptp.num)|)) (= (ho_10959 v ii) (ite (= i ii) e (ho_10959 u ii)))))))))) (let ((_let_9561 (forall ((x |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.rat tptp.num)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.num)|)) (= (ho_10959 x z) (ho_10959 y z)))) (= x y))))) (let ((_let_9562 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_12087 v ii) (ite (= i ii) e (ho_12087 u ii)))))))))) (let ((_let_9563 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_12087 x z) (ho_12087 y z)))) (= x y))))) (let ((_let_9564 (forall ((u |u_(-> tptp.produc8923325533196201883nteger tptp.num)|) (e tptp.num) (i tptp.produc8923325533196201883nteger)) (not (forall ((v |u_(-> tptp.produc8923325533196201883nteger tptp.num)|)) (not (forall ((ii tptp.produc8923325533196201883nteger)) (= (ho_6674 v ii) (ite (= i ii) e (ho_6674 u ii)))))))))) (let ((_let_9565 (forall ((x |u_(-> tptp.produc8923325533196201883nteger tptp.num)|) (y |u_(-> tptp.produc8923325533196201883nteger tptp.num)|)) (or (not (forall ((z tptp.produc8923325533196201883nteger)) (= (ho_6674 x z) (ho_6674 y z)))) (= x y))))) (let ((_let_9566 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_o tptp.set_nat tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_7853 v ii) (ite (= i ii) e (ho_7853 u ii)))))))))) (let ((_let_9567 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_7853 x z) (ho_7853 y z)))) (= x y))))) (let ((_let_9568 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5386 v ii) (ite (= i ii) e (ho_5386 u ii)))))))))) (let ((_let_9569 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.int tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_5386 x z) (ho_5386 y z)))) (= x y))))) (let ((_let_9570 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (e Bool) (i |u_(-> tptp.rat tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_10468 v ii) (ite (= i ii) e (ho_10468 u ii)))))))))) (let ((_let_9571 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_10468 x z) (ho_10468 y z)))) (= x y))))) (let ((_let_9572 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|) (e |u_(-> tptp.int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_12936 v ii) (ite (= i ii) e (ho_12936 u ii)))))))))) (let ((_let_9573 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_12936 x z) (ho_12936 y z)))) (= x y))))) (let ((_let_9574 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7857 v ii) (ite (= i ii) e (ho_7857 u ii)))))))))) (let ((_let_9575 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_7857 x z) (ho_7857 y z)))) (= x y))))) (let ((_let_9576 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.int)_ Bool)|) (i |u_(-> tptp.char tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_16023 v ii) (ite (= i ii) e (ho_16023 u ii)))))))))) (let ((_let_9577 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ _u_(-> tptp.char tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_16023 x z) (ho_16023 y z)))) (= x y))))) (let ((_let_9578 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7909 v ii) (ite (= i ii) e (ho_7909 u ii)))))))))) (let ((_let_9579 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7909 x z) (ho_7909 y z)))) (= x y))))) (let ((_let_9580 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_8676 v ii) (ite (= i ii) e (ho_8676 u ii)))))))))) (let ((_let_9581 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_8676 x z) (ho_8676 y z)))) (= x y))))) (let ((_let_9582 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_10616 v ii) (ite (= i ii) e (ho_10616 u ii)))))))))) (let ((_let_9583 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> Bool tptp.num)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_10616 x z) (ho_10616 y z)))) (= x y))))) (let ((_let_9584 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10737 v ii) (ite (= i ii) e (ho_10737 u ii)))))))))) (let ((_let_9585 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10737 x z) (ho_10737 y z)))) (= x y))))) (let ((_let_9586 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_7914 v ii) (ite (= i ii) e (ho_7914 u ii)))))))))) (let ((_let_9587 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.set_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_7914 x z) (ho_7914 y z)))) (= x y))))) (let ((_let_9588 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10576 v ii) (ite (= i ii) e (ho_10576 u ii)))))))))) (let ((_let_9589 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10576 x z) (ho_10576 y z)))) (= x y))))) (let ((_let_9590 (forall ((u |u_(-> tptp.int tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.nat)|)) (not (forall ((ii tptp.int)) (= (ho_7048 v ii) (ite (= i ii) e (ho_7048 u ii)))))))))) (let ((_let_9591 (forall ((x |u_(-> tptp.int tptp.int tptp.nat)|) (y |u_(-> tptp.int tptp.int tptp.nat)|)) (or (not (forall ((z tptp.int)) (= (ho_7048 x z) (ho_7048 y z)))) (= x y))))) (let ((_let_9592 (forall ((u |u_(-> tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_se6425085446898223655at_nat)) (not (forall ((v |u_(-> tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_se6425085446898223655at_nat)) (= (ho_8001 v ii) (ite (= i ii) e (ho_8001 u ii)))))))))) (let ((_let_9593 (forall ((x |u_(-> tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_se6425085446898223655at_nat)) (= (ho_8001 x z) (ho_8001 y z)))) (= x y))))) (let ((_let_9594 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_11939 v ii) (ite (= i ii) e (ho_11939 u ii)))))))))) (let ((_let_9595 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.produc1319942482725812455at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_11939 x z) (ho_11939 y z)))) (= x y))))) (let ((_let_9596 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8620 v ii) (ite (= i ii) e (ho_8620 u ii)))))))))) (let ((_let_9597 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8620 x z) (ho_8620 y z)))) (= x y))))) (let ((_let_9598 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_4870 v ii) (ite (= i ii) e (ho_4870 u ii)))))))))) (let ((_let_9599 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_4870 x z) (ho_4870 y z)))) (= x y))))) (let ((_let_9600 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7920 v ii) (ite (= i ii) e (ho_7920 u ii)))))))))) (let ((_let_9601 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7920 x z) (ho_7920 y z)))) (= x y))))) (let ((_let_9602 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7925 v ii) (ite (= i ii) e (ho_7925 u ii)))))))))) (let ((_let_9603 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)_ tptp.product_unit tptp.set_Product_unit tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7925 x z) (ho_7925 y z)))) (= x y))))) (let ((_let_9604 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.nat)|)) (= (ho_12754 v ii) (ite (= i ii) e (ho_12754 u ii)))))))))) (let ((_let_9605 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.nat)_ _u_(-> tptp.product_prod_nat_int tptp.product_prod_nat_int)_ tptp.product_prod_nat_int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.nat)|)) (= (ho_12754 x z) (ho_12754 y z)))) (= x y))))) (let ((_let_9606 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int Bool)|)) (= (ho_14333 v ii) (ite (= i ii) e (ho_14333 u ii)))))))))) (let ((_let_9607 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int Bool)|)) (= (ho_14333 x z) (ho_14333 y z)))) (= x y))))) (let ((_let_9608 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.int tptp.product_prod_nat_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12239 v ii) (ite (= i ii) e (ho_12239 u ii)))))))))) (let ((_let_9609 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12239 x z) (ho_12239 y z)))) (= x y))))) (let ((_let_9610 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8242 v ii) (ite (= i ii) e (ho_8242 u ii)))))))))) (let ((_let_9611 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8242 x z) (ho_8242 y z)))) (= x y))))) (let ((_let_9612 (forall ((u |u_(-> _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (i |u_(-> tptp.nat tptp.ref_a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.ref_a Bool)|)) (= (ho_14089 v ii) (ite (= i ii) e (ho_14089 u ii)))))))))) (let ((_let_9613 (forall ((x |u_(-> _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.ref_a Bool)_ _u_(-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.ref_a Bool)|)) (= (ho_14089 x z) (ho_14089 y z)))) (= x y))))) (let ((_let_9614 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_8670 v ii) (ite (= i ii) e (ho_8670 u ii)))))))))) (let ((_let_9615 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_8670 x z) (ho_8670 y z)))) (= x y))))) (let ((_let_9616 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7982 v ii) (ite (= i ii) e (ho_7982 u ii)))))))))) (let ((_let_9617 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7982 x z) (ho_7982 y z)))) (= x y))))) (let ((_let_9618 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (e |u_(-> tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (i |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|)) (= (ho_14473 v ii) (ite (= i ii) e (ho_14473 u ii)))))))))) (let ((_let_9619 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)_ tptp.product_prod_int_nat tptp.product_prod_int_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.product_prod_int_rat)|)) (= (ho_14473 x z) (ho_14473 y z)))) (= x y))))) (let ((_let_9620 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_13657 v ii) (ite (= i ii) e (ho_13657 u ii)))))))))) (let ((_let_9621 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_13657 x z) (ho_13657 y z)))) (= x y))))) (let ((_let_9622 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10583 v ii) (ite (= i ii) e (ho_10583 u ii)))))))))) (let ((_let_9623 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10583 x z) (ho_10583 y z)))) (= x y))))) (let ((_let_9624 (forall ((u |u_(-> tptp.nat Bool tptp.product_prod_nat_o)|) (e |u_(-> Bool tptp.product_prod_nat_o)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool tptp.product_prod_nat_o)|)) (not (forall ((ii tptp.nat)) (= (ho_14552 v ii) (ite (= i ii) e (ho_14552 u ii)))))))))) (let ((_let_9625 (forall ((x |u_(-> tptp.nat Bool tptp.product_prod_nat_o)|) (y |u_(-> tptp.nat Bool tptp.product_prod_nat_o)|)) (or (not (forall ((z tptp.nat)) (= (ho_14552 x z) (ho_14552 y z)))) (= x y))))) (let ((_let_9626 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_10202 v ii) (ite (= i ii) e (ho_10202 u ii)))))))))) (let ((_let_9627 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_10202 x z) (ho_10202 y z)))) (= x y))))) (let ((_let_9628 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_7997 v ii) (ite (= i ii) e (ho_7997 u ii)))))))))) (let ((_let_9629 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_7997 x z) (ho_7997 y z)))) (= x y))))) (let ((_let_9630 (forall ((u |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_5564 v ii) (ite (= i ii) e (ho_5564 u ii)))))))))) (let ((_let_9631 (forall ((x |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|) (y |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_5564 x z) (ho_5564 y z)))) (= x y))))) (let ((_let_9632 (forall ((u |u_(-> tptp.rat tptp.product_prod_int_rat)|) (e tptp.product_prod_int_rat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.product_prod_int_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_7401 v ii) (ite (= i ii) e (ho_7401 u ii)))))))))) (let ((_let_9633 (forall ((x |u_(-> tptp.rat tptp.product_prod_int_rat)|) (y |u_(-> tptp.rat tptp.product_prod_int_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7401 x z) (ho_7401 y z)))) (= x y))))) (let ((_let_9634 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8644 v ii) (ite (= i ii) e (ho_8644 u ii)))))))))) (let ((_let_9635 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.set_Pr958786334691620121nt_int tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (= (ho_8644 x z) (ho_8644 y z)))) (= x y))))) (let ((_let_9636 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7996 v ii) (ite (= i ii) e (ho_7996 u ii)))))))))) (let ((_let_9637 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|)) (= (ho_7996 x z) (ho_7996 y z)))) (= x y))))) (let ((_let_9638 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|) (i |u_(-> tptp.product_prod_o_o Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_o Bool)|)) (= (ho_14123 v ii) (ite (= i ii) e (ho_14123 u ii)))))))))) (let ((_let_9639 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.product_prod_o_o Bool)_ _u_(-> Bool tptp.product_prod_o_o)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_o Bool)|)) (= (ho_14123 x z) (ho_14123 y z)))) (= x y))))) (let ((_let_9640 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9781 v ii) (ite (= i ii) e (ho_9781 u ii)))))))))) (let ((_let_9641 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ _u_(-> tptp.code_integer tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_9781 x z) (ho_9781 y z)))) (= x y))))) (let ((_let_9642 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (= (ho_10243 v ii) (ite (= i ii) e (ho_10243 u ii)))))))))) (let ((_let_9643 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (= (ho_10243 x z) (ho_10243 y z)))) (= x y))))) (let ((_let_9644 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8000 v ii) (ite (= i ii) e (ho_8000 u ii)))))))))) (let ((_let_9645 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8000 x z) (ho_8000 y z)))) (= x y))))) (let ((_let_9646 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii Bool)) (= (ho_8026 v ii) (ite (= i ii) e (ho_8026 u ii)))))))))) (let ((_let_9647 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> Bool _u_(-> Bool tptp.set_Pr4329608150637261639at_nat)_ tptp.set_o tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_8026 x z) (ho_8026 y z)))) (= x y))))) (let ((_let_9648 (forall ((u |u_(-> tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_8032 v ii) (ite (= i ii) e (ho_8032 u ii)))))))))) (let ((_let_9649 (forall ((x |u_(-> tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_int Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8032 x z) (ho_8032 y z)))) (= x y))))) (let ((_let_9650 (forall ((u |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.int)) (= (ho_8028 v ii) (ite (= i ii) e (ho_8028 u ii)))))))))) (let ((_let_9651 (forall ((x |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.int)) (= (ho_8028 x z) (ho_8028 y z)))) (= x y))))) (let ((_let_9652 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (= (ho_15615 v ii) (ite (= i ii) e (ho_15615 u ii)))))))))) (let ((_let_9653 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)_ tptp.set_Pr1133966238863718811t_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)|)) (= (ho_15615 x z) (ho_15615 y z)))) (= x y))))) (let ((_let_9654 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_int tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8034 v ii) (ite (= i ii) e (ho_8034 u ii)))))))))) (let ((_let_9655 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)_ tptp.set_int tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8034 x z) (ho_8034 y z)))) (= x y))))) (let ((_let_9656 (forall ((u |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_8042 v ii) (ite (= i ii) e (ho_8042 u ii)))))))))) (let ((_let_9657 (forall ((x |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> tptp.int _u_(-> tptp.int tptp.set_nat)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_8042 x z) (ho_8042 y z)))) (= x y))))) (let ((_let_9658 (forall ((u |u_(-> tptp.set_set_nat tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_8065 v ii) (ite (= i ii) e (ho_8065 u ii)))))))))) (let ((_let_9659 (forall ((x |u_(-> tptp.set_set_nat tptp.set_nat tptp.nat Bool)|) (y |u_(-> tptp.set_set_nat tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_8065 x z) (ho_8065 y z)))) (= x y))))) (let ((_let_9660 (forall ((u |u_(-> _u_(-> tptp.produc3788275437394581276t_unit Bool)_ tptp.set_Pr6671815714118170108t_unit tptp.set_o)|) (e |u_(-> tptp.set_Pr6671815714118170108t_unit tptp.set_o)|) (i |u_(-> tptp.produc3788275437394581276t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3788275437394581276t_unit Bool)_ tptp.set_Pr6671815714118170108t_unit tptp.set_o)|)) (not (forall ((ii |u_(-> tptp.produc3788275437394581276t_unit Bool)|)) (= (ho_14918 v ii) (ite (= i ii) e (ho_14918 u ii)))))))))) (let ((_let_9661 (forall ((x |u_(-> _u_(-> tptp.produc3788275437394581276t_unit Bool)_ tptp.set_Pr6671815714118170108t_unit tptp.set_o)|) (y |u_(-> _u_(-> tptp.produc3788275437394581276t_unit Bool)_ tptp.set_Pr6671815714118170108t_unit tptp.set_o)|)) (or (not (forall ((z |u_(-> tptp.produc3788275437394581276t_unit Bool)|)) (= (ho_14918 x z) (ho_14918 y z)))) (= x y))))) (let ((_let_9662 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_8068 v ii) (ite (= i ii) e (ho_8068 u ii)))))))))) (let ((_let_9663 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_8068 x z) (ho_8068 y z)))) (= x y))))) (let ((_let_9664 (forall ((u |u_(-> tptp.nat tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.nat)) (= (ho_8090 v ii) (ite (= i ii) e (ho_8090 u ii)))))))))) (let ((_let_9665 (forall ((x |u_(-> tptp.nat tptp.product_prod_nat_num)|) (y |u_(-> tptp.nat tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_8090 x z) (ho_8090 y z)))) (= x y))))) (let ((_let_9666 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13055 v ii) (ite (= i ii) e (ho_13055 u ii)))))))))) (let ((_let_9667 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_13055 x z) (ho_13055 y z)))) (= x y))))) (let ((_let_9668 (forall ((u |u_(-> tptp.set_set_int tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_nat)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_16022 v ii) (ite (= i ii) e (ho_16022 u ii)))))))))) (let ((_let_9669 (forall ((x |u_(-> tptp.set_set_int tptp.set_nat)|) (y |u_(-> tptp.set_set_int tptp.set_nat)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_16022 x z) (ho_16022 y z)))) (= x y))))) (let ((_let_9670 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.ref_a tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12457 v ii) (ite (= i ii) e (ho_12457 u ii)))))))))) (let ((_let_9671 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.ref_a tptp.nat)_ tptp.produc3438435131210021710_a_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12457 x z) (ho_12457 y z)))) (= x y))))) (let ((_let_9672 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat Bool Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (= (ho_9667 v ii) (ite (= i ii) e (ho_9667 u ii)))))))))) (let ((_let_9673 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr1261947904930325089at_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (= (ho_9667 x z) (ho_9667 y z)))) (= x y))))) (let ((_let_9674 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.rat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_8100 v ii) (ite (= i ii) e (ho_8100 u ii)))))))))) (let ((_let_9675 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_8100 x z) (ho_8100 y z)))) (= x y))))) (let ((_let_9676 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_14729 v ii) (ite (= i ii) e (ho_14729 u ii)))))))))) (let ((_let_9677 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ _u_(-> Bool Bool Bool)_ tptp.nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_14729 x z) (ho_14729 y z)))) (= x y))))) (let ((_let_9678 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7660 v ii) (ite (= i ii) e (ho_7660 u ii)))))))))) (let ((_let_9679 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7660 x z) (ho_7660 y z)))) (= x y))))) (let ((_let_9680 (forall ((u |u_(-> Bool tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.rat tptp.nat tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_8104 v ii) (ite (= i ii) e (ho_8104 u ii)))))))))) (let ((_let_9681 (forall ((x |u_(-> Bool tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> Bool tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_8104 x z) (ho_8104 y z)))) (= x y))))) (let ((_let_9682 (forall ((u |u_(-> tptp.product_prod_o_nat tptp.nat)|) (e tptp.nat) (i tptp.product_prod_o_nat)) (not (forall ((v |u_(-> tptp.product_prod_o_nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_o_nat)) (= (ho_14641 v ii) (ite (= i ii) e (ho_14641 u ii)))))))))) (let ((_let_9683 (forall ((x |u_(-> tptp.product_prod_o_nat tptp.nat)|) (y |u_(-> tptp.product_prod_o_nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_o_nat)) (= (ho_14641 x z) (ho_14641 y z)))) (= x y))))) (let ((_let_9684 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_13475 v ii) (ite (= i ii) e (ho_13475 u ii)))))))))) (let ((_let_9685 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_13475 x z) (ho_13475 y z)))) (= x y))))) (let ((_let_9686 (forall ((u |u_(-> _u_(-> Bool tptp.set_rat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|) (i |u_(-> Bool tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_rat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.set_rat)|)) (= (ho_14339 v ii) (ite (= i ii) e (ho_14339 u ii)))))))))) (let ((_let_9687 (forall ((x |u_(-> _u_(-> Bool tptp.set_rat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> Bool tptp.set_rat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_rat)|)) (= (ho_14339 x z) (ho_14339 y z)))) (= x y))))) (let ((_let_9688 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_8171 v ii) (ite (= i ii) e (ho_8171 u ii)))))))))) (let ((_let_9689 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_8171 x z) (ho_8171 y z)))) (= x y))))) (let ((_let_9690 (forall ((u |u_(-> Bool tptp.int tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int tptp.int)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.int tptp.int tptp.int)|)) (not (forall ((ii Bool)) (= (ho_5435 v ii) (ite (= i ii) e (ho_5435 u ii)))))))))) (let ((_let_9691 (forall ((x |u_(-> Bool tptp.int tptp.int tptp.int)|) (y |u_(-> Bool tptp.int tptp.int tptp.int)|)) (or (not (forall ((z Bool)) (= (ho_5435 x z) (ho_5435 y z)))) (= x y))))) (let ((_let_9692 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|) (e |u_(-> _u_(-> Bool tptp.int)_ Bool tptp.int)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8174 v ii) (ite (= i ii) e (ho_8174 u ii)))))))))) (let ((_let_9693 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.int)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8174 x z) (ho_8174 y z)))) (= x y))))) (let ((_let_9694 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_6603 v ii) (ite (= i ii) e (ho_6603 u ii)))))))))) (let ((_let_9695 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat tptp.nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_6603 x z) (ho_6603 y z)))) (= x y))))) (let ((_let_9696 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8180 v ii) (ite (= i ii) e (ho_8180 u ii)))))))))) (let ((_let_9697 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8180 x z) (ho_8180 y z)))) (= x y))))) (let ((_let_9698 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (i |u_(-> tptp.ref_a tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12701 v ii) (ite (= i ii) e (ho_12701 u ii)))))))))) (let ((_let_9699 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.ref_a tptp.nat)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)_ tptp.produc7812382424243267045t_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.nat)|)) (= (ho_12701 x z) (ho_12701 y z)))) (= x y))))) (let ((_let_9700 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_8185 v ii) (ite (= i ii) e (ho_8185 u ii)))))))))) (let ((_let_9701 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_8185 x z) (ho_8185 y z)))) (= x y))))) (let ((_let_9702 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_12498 v ii) (ite (= i ii) e (ho_12498 u ii)))))))))) (let ((_let_9703 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_o_o)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_12498 x z) (ho_12498 y z)))) (= x y))))) (let ((_let_9704 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8219 v ii) (ite (= i ii) e (ho_8219 u ii)))))))))) (let ((_let_9705 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8219 x z) (ho_8219 y z)))) (= x y))))) (let ((_let_9706 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_8225 v ii) (ite (= i ii) e (ho_8225 u ii)))))))))) (let ((_let_9707 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_8225 x z) (ho_8225 y z)))) (= x y))))) (let ((_let_9708 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat Bool)|) (e |u_(-> tptp.set_Pr7459493094073627847at_nat Bool)|) (i |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_15372 v ii) (ite (= i ii) e (ho_15372 u ii)))))))))) (let ((_let_9709 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat Bool)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)_ tptp.set_Pr7459493094073627847at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat tptp.produc1319942482725812455at_nat)|)) (= (ho_15372 x z) (ho_15372 y z)))) (= x y))))) (let ((_let_9710 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8231 v ii) (ite (= i ii) e (ho_8231 u ii)))))))))) (let ((_let_9711 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8231 x z) (ho_8231 y z)))) (= x y))))) (let ((_let_9712 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|) (e tptp.product_unit) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_15264 v ii) (ite (= i ii) e (ho_15264 u ii)))))))))) (let ((_let_9713 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.product_unit)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_15264 x z) (ho_15264 y z)))) (= x y))))) (let ((_let_9714 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_8230 v ii) (ite (= i ii) e (ho_8230 u ii)))))))))) (let ((_let_9715 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (= (ho_8230 x z) (ho_8230 y z)))) (= x y))))) (let ((_let_9716 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8235 v ii) (ite (= i ii) e (ho_8235 u ii)))))))))) (let ((_let_9717 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8235 x z) (ho_8235 y z)))) (= x y))))) (let ((_let_9718 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_8237 v ii) (ite (= i ii) e (ho_8237 u ii)))))))))) (let ((_let_9719 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_8237 x z) (ho_8237 y z)))) (= x y))))) (let ((_let_9720 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8257 v ii) (ite (= i ii) e (ho_8257 u ii)))))))))) (let ((_let_9721 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8257 x z) (ho_8257 y z)))) (= x y))))) (let ((_let_9722 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (= (ho_12567 v ii) (ite (= i ii) e (ho_12567 u ii)))))))))) (let ((_let_9723 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)_ _u_(-> tptp.product_prod_int_nat tptp.product_prod_nat_nat)_ tptp.product_prod_int_nat tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_num_nat)|)) (= (ho_12567 x z) (ho_12567 y z)))) (= x y))))) (let ((_let_9724 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8260 v ii) (ite (= i ii) e (ho_8260 u ii)))))))))) (let ((_let_9725 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8260 x z) (ho_8260 y z)))) (= x y))))) (let ((_let_9726 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (e tptp.produc859450856879609959at_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_8266 v ii) (ite (= i ii) e (ho_8266 u ii)))))))))) (let ((_let_9727 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_8266 x z) (ho_8266 y z)))) (= x y))))) (let ((_let_9728 (forall ((u |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (e |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (i |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12234 v ii) (ite (= i ii) e (ho_12234 u ii)))))))))) (let ((_let_9729 (forall ((x |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> _u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)_ _u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)_ tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z |u_(-> tptp.produc7812382424243267045t_unit tptp.heap_e7401611519738050253t_unit)|)) (= (ho_12234 x z) (ho_12234 y z)))) (= x y))))) (let ((_let_9730 (forall ((u |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|) (e |u_(-> tptp.set_set_nat tptp.set_nat)|) (i |u_(-> tptp.set_set_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15128 v ii) (ite (= i ii) e (ho_15128 u ii)))))))))) (let ((_let_9731 (forall ((x |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_set_nat tptp.set_nat)|)) (= (ho_15128 x z) (ho_15128 y z)))) (= x y))))) (let ((_let_9732 (forall ((u |u_(-> tptp.char tptp.product_prod_nat_nat)|) (e tptp.product_prod_nat_nat) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((ii tptp.char)) (= (ho_10525 v ii) (ite (= i ii) e (ho_10525 u ii)))))))))) (let ((_let_9733 (forall ((x |u_(-> tptp.char tptp.product_prod_nat_nat)|) (y |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (or (not (forall ((z tptp.char)) (= (ho_10525 x z) (ho_10525 y z)))) (= x y))))) (let ((_let_9734 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8271 v ii) (ite (= i ii) e (ho_8271 u ii)))))))))) (let ((_let_9735 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8271 x z) (ho_8271 y z)))) (= x y))))) (let ((_let_9736 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> tptp.set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_8274 v ii) (ite (= i ii) e (ho_8274 u ii)))))))))) (let ((_let_9737 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_8274 x z) (ho_8274 y z)))) (= x y))))) (let ((_let_9738 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int tptp.product_prod_int_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_10444 v ii) (ite (= i ii) e (ho_10444 u ii)))))))))) (let ((_let_9739 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_int_int)_ tptp.set_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_10444 x z) (ho_10444 y z)))) (= x y))))) (let ((_let_9740 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12351 v ii) (ite (= i ii) e (ho_12351 u ii)))))))))) (let ((_let_9741 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_12351 x z) (ho_12351 y z)))) (= x y))))) (let ((_let_9742 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_8863 v ii) (ite (= i ii) e (ho_8863 u ii)))))))))) (let ((_let_9743 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|) (y |u_(-> tptp.set_rat _u_(-> tptp.product_unit tptp.set_rat)_ tptp.product_unit tptp.set_rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_8863 x z) (ho_8863 y z)))) (= x y))))) (let ((_let_9744 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7665 v ii) (ite (= i ii) e (ho_7665 u ii)))))))))) (let ((_let_9745 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_7665 x z) (ho_7665 y z)))) (= x y))))) (let ((_let_9746 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|) (e tptp.set_se7592288975875140775at_nat) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_9115 v ii) (ite (= i ii) e (ho_9115 u ii)))))))))) (let ((_let_9747 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se7592288975875140775at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_9115 x z) (ho_9115 y z)))) (= x y))))) (let ((_let_9748 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|) (e |u_(-> tptp.nat Bool tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_7071 v ii) (ite (= i ii) e (ho_7071 u ii)))))))))) (let ((_let_9749 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_7071 x z) (ho_7071 y z)))) (= x y))))) (let ((_let_9750 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8312 v ii) (ite (= i ii) e (ho_8312 u ii)))))))))) (let ((_let_9751 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_Pr8693737435421807431at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8312 x z) (ho_8312 y z)))) (= x y))))) (let ((_let_9752 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_5681 v ii) (ite (= i ii) e (ho_5681 u ii)))))))))) (let ((_let_9753 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_5681 x z) (ho_5681 y z)))) (= x y))))) (let ((_let_9754 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_8316 v ii) (ite (= i ii) e (ho_8316 u ii)))))))))) (let ((_let_9755 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_8316 x z) (ho_8316 y z)))) (= x y))))) (let ((_let_9756 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_8322 v ii) (ite (= i ii) e (ho_8322 u ii)))))))))) (let ((_let_9757 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_8322 x z) (ho_8322 y z)))) (= x y))))) (let ((_let_9758 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_13958 v ii) (ite (= i ii) e (ho_13958 u ii)))))))))) (let ((_let_9759 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.num)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_13958 x z) (ho_13958 y z)))) (= x y))))) (let ((_let_9760 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_8736 v ii) (ite (= i ii) e (ho_8736 u ii)))))))))) (let ((_let_9761 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_8736 x z) (ho_8736 y z)))) (= x y))))) (let ((_let_9762 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|) (e |u_(-> tptp.num tptp.int)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_15728 v ii) (ite (= i ii) e (ho_15728 u ii)))))))))) (let ((_let_9763 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.num tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_15728 x z) (ho_15728 y z)))) (= x y))))) (let ((_let_9764 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_10241 v ii) (ite (= i ii) e (ho_10241 u ii)))))))))) (let ((_let_9765 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_10241 x z) (ho_10241 y z)))) (= x y))))) (let ((_let_9766 (forall ((u |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|) (i |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8321 v ii) (ite (= i ii) e (ho_8321 u ii)))))))))) (let ((_let_9767 (forall ((x |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> _u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_8321 x z) (ho_8321 y z)))) (= x y))))) (let ((_let_9768 (forall ((u |u_(-> tptp.nat tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_12802 v ii) (ite (= i ii) e (ho_12802 u ii)))))))))) (let ((_let_9769 (forall ((x |u_(-> tptp.nat tptp.int Bool)|) (y |u_(-> tptp.nat tptp.int Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_12802 x z) (ho_12802 y z)))) (= x y))))) (let ((_let_9770 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_5813 v ii) (ite (= i ii) e (ho_5813 u ii)))))))))) (let ((_let_9771 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit Bool tptp.set_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_5813 x z) (ho_5813 y z)))) (= x y))))) (let ((_let_9772 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.product_unit)_ Bool Bool)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_10924 v ii) (ite (= i ii) e (ho_10924 u ii)))))))))) (let ((_let_9773 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ _u_(-> Bool tptp.product_unit)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_10924 x z) (ho_10924 y z)))) (= x y))))) (let ((_let_9774 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8338 v ii) (ite (= i ii) e (ho_8338 u ii)))))))))) (let ((_let_9775 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_nat)_ tptp.set_Product_unit tptp.nat Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8338 x z) (ho_8338 y z)))) (= x y))))) (let ((_let_9776 (forall ((u |u_(-> tptp.num tptp.product_prod_num_num)|) (e tptp.product_prod_num_num) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.product_prod_num_num)|)) (not (forall ((ii tptp.num)) (= (ho_10666 v ii) (ite (= i ii) e (ho_10666 u ii)))))))))) (let ((_let_9777 (forall ((x |u_(-> tptp.num tptp.product_prod_num_num)|) (y |u_(-> tptp.num tptp.product_prod_num_num)|)) (or (not (forall ((z tptp.num)) (= (ho_10666 x z) (ho_10666 y z)))) (= x y))))) (let ((_let_9778 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_8359 v ii) (ite (= i ii) e (ho_8359 u ii)))))))))) (let ((_let_9779 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_8359 x z) (ho_8359 y z)))) (= x y))))) (let ((_let_9780 (forall ((u |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|) (e |u_(-> tptp.set_set_int tptp.set_int)|) (i |u_(-> tptp.set_set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15104 v ii) (ite (= i ii) e (ho_15104 u ii)))))))))) (let ((_let_9781 (forall ((x |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ tptp.set_set_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15104 x z) (ho_15104 y z)))) (= x y))))) (let ((_let_9782 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8365 v ii) (ite (= i ii) e (ho_8365 u ii)))))))))) (let ((_let_9783 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8365 x z) (ho_8365 y z)))) (= x y))))) (let ((_let_9784 (forall ((u |u_(-> tptp.set_o tptp.set_set_char)|) (e tptp.set_set_char) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_set_char)|)) (not (forall ((ii tptp.set_o)) (= (ho_15018 v ii) (ite (= i ii) e (ho_15018 u ii)))))))))) (let ((_let_9785 (forall ((x |u_(-> tptp.set_o tptp.set_set_char)|) (y |u_(-> tptp.set_o tptp.set_set_char)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15018 x z) (ho_15018 y z)))) (= x y))))) (let ((_let_9786 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8369 v ii) (ite (= i ii) e (ho_8369 u ii)))))))))) (let ((_let_9787 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8369 x z) (ho_8369 y z)))) (= x y))))) (let ((_let_9788 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8703 v ii) (ite (= i ii) e (ho_8703 u ii)))))))))) (let ((_let_9789 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8703 x z) (ho_8703 y z)))) (= x y))))) (let ((_let_9790 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_13785 v ii) (ite (= i ii) e (ho_13785 u ii)))))))))) (let ((_let_9791 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_13785 x z) (ho_13785 y z)))) (= x y))))) (let ((_let_9792 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.rat tptp.set_nat)|) (e |u_(-> tptp.set_int tptp.rat tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.rat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10014 v ii) (ite (= i ii) e (ho_10014 u ii)))))))))) (let ((_let_9793 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.rat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.rat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10014 x z) (ho_10014 y z)))) (= x y))))) (let ((_let_9794 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ tptp.set_in7748886932685137004at_nat)|) (e tptp.set_in7748886932685137004at_nat) (i |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ tptp.set_in7748886932685137004at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13618 v ii) (ite (= i ii) e (ho_13618 u ii)))))))))) (let ((_let_9795 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ tptp.set_in7748886932685137004at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)_ tptp.set_in7748886932685137004at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13618 x z) (ho_13618 y z)))) (= x y))))) (let ((_let_9796 (forall ((u |u_(-> tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_11146 v ii) (ite (= i ii) e (ho_11146 u ii)))))))))) (let ((_let_9797 (forall ((x |u_(-> tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> tptp.set_nat _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_11146 x z) (ho_11146 y z)))) (= x y))))) (let ((_let_9798 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9523 v ii) (ite (= i ii) e (ho_9523 u ii)))))))))) (let ((_let_9799 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (y |u_(-> Bool _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9523 x z) (ho_9523 y z)))) (= x y))))) (let ((_let_9800 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8379 v ii) (ite (= i ii) e (ho_8379 u ii)))))))))) (let ((_let_9801 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8379 x z) (ho_8379 y z)))) (= x y))))) (let ((_let_9802 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6857 v ii) (ite (= i ii) e (ho_6857 u ii)))))))))) (let ((_let_9803 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_6857 x z) (ho_6857 y z)))) (= x y))))) (let ((_let_9804 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (e |u_(-> Bool tptp.set_Product_unit)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8567 v ii) (ite (= i ii) e (ho_8567 u ii)))))))))) (let ((_let_9805 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8567 x z) (ho_8567 y z)))) (= x y))))) (let ((_let_9806 (forall ((u |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> Bool tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat tptp.nat)|)) (= (ho_10830 v ii) (ite (= i ii) e (ho_10830 u ii)))))))))) (let ((_let_9807 (forall ((x |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat tptp.nat)|)) (= (ho_10830 x z) (ho_10830 y z)))) (= x y))))) (let ((_let_9808 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10722 v ii) (ite (= i ii) e (ho_10722 u ii)))))))))) (let ((_let_9809 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_10722 x z) (ho_10722 y z)))) (= x y))))) (let ((_let_9810 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8390 v ii) (ite (= i ii) e (ho_8390 u ii)))))))))) (let ((_let_9811 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8390 x z) (ho_8390 y z)))) (= x y))))) (let ((_let_9812 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_8397 v ii) (ite (= i ii) e (ho_8397 u ii)))))))))) (let ((_let_9813 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_8397 x z) (ho_8397 y z)))) (= x y))))) (let ((_let_9814 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10748 v ii) (ite (= i ii) e (ho_10748 u ii)))))))))) (let ((_let_9815 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10748 x z) (ho_10748 y z)))) (= x y))))) (let ((_let_9816 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_8396 v ii) (ite (= i ii) e (ho_8396 u ii)))))))))) (let ((_let_9817 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.nat)_ _u_(-> Bool tptp.nat)_ Bool tptp.nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8396 x z) (ho_8396 y z)))) (= x y))))) (let ((_let_9818 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8401 v ii) (ite (= i ii) e (ho_8401 u ii)))))))))) (let ((_let_9819 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8401 x z) (ho_8401 y z)))) (= x y))))) (let ((_let_9820 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14695 v ii) (ite (= i ii) e (ho_14695 u ii)))))))))) (let ((_let_9821 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_14695 x z) (ho_14695 y z)))) (= x y))))) (let ((_let_9822 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8404 v ii) (ite (= i ii) e (ho_8404 u ii)))))))))) (let ((_let_9823 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8404 x z) (ho_8404 y z)))) (= x y))))) (let ((_let_9824 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)_ tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|) (i |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)_ tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (= (ho_15680 v ii) (ite (= i ii) e (ho_15680 u ii)))))))))) (let ((_let_9825 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)_ tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)_ tptp.set_Pr5889264611543340172t_unit tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.produc6865911496949736918t_unit)|)) (= (ho_15680 x z) (ho_15680 y z)))) (= x y))))) (let ((_let_9826 (forall ((u |u_(-> tptp.num tptp.product_prod_o_nat)|) (e tptp.product_prod_o_nat) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.product_prod_o_nat)|)) (not (forall ((ii tptp.num)) (= (ho_13282 v ii) (ite (= i ii) e (ho_13282 u ii)))))))))) (let ((_let_9827 (forall ((x |u_(-> tptp.num tptp.product_prod_o_nat)|) (y |u_(-> tptp.num tptp.product_prod_o_nat)|)) (or (not (forall ((z tptp.num)) (= (ho_13282 x z) (ho_13282 y z)))) (= x y))))) (let ((_let_9828 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8403 v ii) (ite (= i ii) e (ho_8403 u ii)))))))))) (let ((_let_9829 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8403 x z) (ho_8403 y z)))) (= x y))))) (let ((_let_9830 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (e |u_(-> _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|)) (not (forall ((ii tptp.set_int)) (= (ho_8409 v ii) (ite (= i ii) e (ho_8409 u ii)))))))))) (let ((_let_9831 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.product_unit)_ _u_(-> tptp.int tptp.product_unit)_ tptp.int tptp.product_unit)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8409 x z) (ho_8409 y z)))) (= x y))))) (let ((_let_9832 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.num Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14003 v ii) (ite (= i ii) e (ho_14003 u ii)))))))))) (let ((_let_9833 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ tptp.product_prod_int_int tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_14003 x z) (ho_14003 y z)))) (= x y))))) (let ((_let_9834 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (e |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_8414 v ii) (ite (= i ii) e (ho_8414 u ii)))))))))) (let ((_let_9835 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_8414 x z) (ho_8414 y z)))) (= x y))))) (let ((_let_9836 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (= (ho_10086 v ii) (ite (= i ii) e (ho_10086 u ii)))))))))) (let ((_let_9837 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (= (ho_10086 x z) (ho_10086 y z)))) (= x y))))) (let ((_let_9838 (forall ((u |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|) (e |u_(-> _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|) (i |u_(-> tptp.set_set_int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15106 v ii) (ite (= i ii) e (ho_15106 u ii)))))))))) (let ((_let_9839 (forall ((x |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|) (y |u_(-> _u_(-> tptp.set_set_int tptp.set_int)_ _u_(-> tptp.set_set_int tptp.set_set_int)_ tptp.set_set_int tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.set_set_int tptp.set_int)|)) (= (ho_15106 x z) (ho_15106 y z)))) (= x y))))) (let ((_let_9840 (forall ((u |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|) (i |u_(-> tptp.rat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_6360 v ii) (ite (= i ii) e (ho_6360 u ii)))))))))) (let ((_let_9841 (forall ((x |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.rat tptp.set_nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_6360 x z) (ho_6360 y z)))) (= x y))))) (let ((_let_9842 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10097 v ii) (ite (= i ii) e (ho_10097 u ii)))))))))) (let ((_let_9843 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10097 x z) (ho_10097 y z)))) (= x y))))) (let ((_let_9844 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_8422 v ii) (ite (= i ii) e (ho_8422 u ii)))))))))) (let ((_let_9845 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8422 x z) (ho_8422 y z)))) (= x y))))) (let ((_let_9846 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_8428 v ii) (ite (= i ii) e (ho_8428 u ii)))))))))) (let ((_let_9847 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_8428 x z) (ho_8428 y z)))) (= x y))))) (let ((_let_9848 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_8433 v ii) (ite (= i ii) e (ho_8433 u ii)))))))))) (let ((_let_9849 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_8433 x z) (ho_8433 y z)))) (= x y))))) (let ((_let_9850 (forall ((u |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (e tptp.produc414006230660905482ar_rat) (i tptp.produc414006230660905482ar_rat)) (not (forall ((v |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii tptp.produc414006230660905482ar_rat)) (= (ho_16021 v ii) (ite (= i ii) e (ho_16021 u ii)))))))))) (let ((_let_9851 (forall ((x |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|) (y |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z tptp.produc414006230660905482ar_rat)) (= (ho_16021 x z) (ho_16021 y z)))) (= x y))))) (let ((_let_9852 (forall ((u |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_8437 v ii) (ite (= i ii) e (ho_8437 u ii)))))))))) (let ((_let_9853 (forall ((x |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)_ tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|)) (= (ho_8437 x z) (ho_8437 y z)))) (= x y))))) (let ((_let_9854 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|) (e |u_(-> tptp.product_unit tptp.nat)|) (i |u_(-> tptp.product_unit tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_6915 v ii) (ite (= i ii) e (ho_6915 u ii)))))))))) (let ((_let_9855 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.product_unit)_ tptp.product_unit tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.product_unit)|)) (= (ho_6915 x z) (ho_6915 y z)))) (= x y))))) (let ((_let_9856 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8441 v ii) (ite (= i ii) e (ho_8441 u ii)))))))))) (let ((_let_9857 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8441 x z) (ho_8441 y z)))) (= x y))))) (let ((_let_9858 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_set_nat)|) (e |u_(-> tptp.set_nat tptp.set_set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4764 v ii) (ite (= i ii) e (ho_4764 u ii)))))))))) (let ((_let_9859 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4764 x z) (ho_4764 y z)))) (= x y))))) (let ((_let_9860 (forall ((u |u_(-> tptp.set_Code_integer tptp.code_integer tptp.set_Code_integer)|) (e |u_(-> tptp.code_integer tptp.set_Code_integer)|) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer tptp.code_integer tptp.set_Code_integer)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_8449 v ii) (ite (= i ii) e (ho_8449 u ii)))))))))) (let ((_let_9861 (forall ((x |u_(-> tptp.set_Code_integer tptp.code_integer tptp.set_Code_integer)|) (y |u_(-> tptp.set_Code_integer tptp.code_integer tptp.set_Code_integer)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_8449 x z) (ho_8449 y z)))) (= x y))))) (let ((_let_9862 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_8457 v ii) (ite (= i ii) e (ho_8457 u ii)))))))))) (let ((_let_9863 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat tptp.nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_8457 x z) (ho_8457 y z)))) (= x y))))) (let ((_let_9864 (forall ((u |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (= (ho_13258 v ii) (ite (= i ii) e (ho_13258 u ii)))))))))) (let ((_let_9865 (forall ((x |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)_ _u_(-> Bool tptp.product_prod_o_nat)_ Bool tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_o_nat tptp.product_prod_num_nat)|)) (= (ho_13258 x z) (ho_13258 y z)))) (= x y))))) (let ((_let_9866 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8273 v ii) (ite (= i ii) e (ho_8273 u ii)))))))))) (let ((_let_9867 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.nat Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8273 x z) (ho_8273 y z)))) (= x y))))) (let ((_let_9868 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9773 v ii) (ite (= i ii) e (ho_9773 u ii)))))))))) (let ((_let_9869 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9773 x z) (ho_9773 y z)))) (= x y))))) (let ((_let_9870 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_10392 v ii) (ite (= i ii) e (ho_10392 u ii)))))))))) (let ((_let_9871 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_10392 x z) (ho_10392 y z)))) (= x y))))) (let ((_let_9872 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8494 v ii) (ite (= i ii) e (ho_8494 u ii)))))))))) (let ((_let_9873 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr1261947904930325089at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8494 x z) (ho_8494 y z)))) (= x y))))) (let ((_let_9874 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_6221 v ii) (ite (= i ii) e (ho_6221 u ii)))))))))) (let ((_let_9875 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_6221 x z) (ho_6221 y z)))) (= x y))))) (let ((_let_9876 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (e |u_(-> tptp.set_nat Bool Bool)|) (i |u_(-> tptp.nat tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8511 v ii) (ite (= i ii) e (ho_8511 u ii)))))))))) (let ((_let_9877 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_o)|)) (= (ho_8511 x z) (ho_8511 y z)))) (= x y))))) (let ((_let_9878 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_14863 v ii) (ite (= i ii) e (ho_14863 u ii)))))))))) (let ((_let_9879 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_14863 x z) (ho_14863 y z)))) (= x y))))) (let ((_let_9880 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13214 v ii) (ite (= i ii) e (ho_13214 u ii)))))))))) (let ((_let_9881 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13214 x z) (ho_13214 y z)))) (= x y))))) (let ((_let_9882 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (i |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5630 v ii) (ite (= i ii) e (ho_5630 u ii)))))))))) (let ((_let_9883 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)_ tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|)) (= (ho_5630 x z) (ho_5630 y z)))) (= x y))))) (let ((_let_9884 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_8113 v ii) (ite (= i ii) e (ho_8113 u ii)))))))))) (let ((_let_9885 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_8113 x z) (ho_8113 y z)))) (= x y))))) (let ((_let_9886 (forall ((u |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (e |u_(-> tptp.nat tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8515 v ii) (ite (= i ii) e (ho_8515 u ii)))))))))) (let ((_let_9887 (forall ((x |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8515 x z) (ho_8515 y z)))) (= x y))))) (let ((_let_9888 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (e |u_(-> tptp.set_o Bool Bool)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_8518 v ii) (ite (= i ii) e (ho_8518 u ii)))))))))) (let ((_let_9889 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_8518 x z) (ho_8518 y z)))) (= x y))))) (let ((_let_9890 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_14866 v ii) (ite (= i ii) e (ho_14866 u ii)))))))))) (let ((_let_9891 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Pr5094982260447487303t_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_14866 x z) (ho_14866 y z)))) (= x y))))) (let ((_let_9892 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10740 v ii) (ite (= i ii) e (ho_10740 u ii)))))))))) (let ((_let_9893 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10740 x z) (ho_10740 y z)))) (= x y))))) (let ((_let_9894 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_14665 v ii) (ite (= i ii) e (ho_14665 u ii)))))))))) (let ((_let_9895 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.set_o)_ tptp.set_Pr6558897299634722526_nat_o)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_14665 x z) (ho_14665 y z)))) (= x y))))) (let ((_let_9896 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (e |u_(-> tptp.set_Product_unit Bool Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8531 v ii) (ite (= i ii) e (ho_8531 u ii)))))))))) (let ((_let_9897 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8531 x z) (ho_8531 y z)))) (= x y))))) (let ((_let_9898 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.produc1522404539988722607at_nat Bool)|) (e |u_(-> tptp.produc1522404539988722607at_nat Bool)|) (i |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.produc1522404539988722607at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (= (ho_14616 v ii) (ite (= i ii) e (ho_14616 u ii)))))))))) (let ((_let_9899 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.produc1522404539988722607at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)_ tptp.produc1522404539988722607at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|)) (= (ho_14616 x z) (ho_14616 y z)))) (= x y))))) (let ((_let_9900 (forall ((u |u_(-> tptp.product_unit Bool tptp.produc7485711547916492274unit_o)|) (e |u_(-> Bool tptp.produc7485711547916492274unit_o)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool tptp.produc7485711547916492274unit_o)|)) (not (forall ((ii tptp.product_unit)) (= (ho_15195 v ii) (ite (= i ii) e (ho_15195 u ii)))))))))) (let ((_let_9901 (forall ((x |u_(-> tptp.product_unit Bool tptp.produc7485711547916492274unit_o)|) (y |u_(-> tptp.product_unit Bool tptp.produc7485711547916492274unit_o)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_15195 x z) (ho_15195 y z)))) (= x y))))) (let ((_let_9902 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.option_num)|) (e tptp.option_num) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.option_num)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_6643 v ii) (ite (= i ii) e (ho_6643 u ii)))))))))) (let ((_let_9903 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.option_num)|) (y |u_(-> tptp.product_prod_nat_num tptp.option_num)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_6643 x z) (ho_6643 y z)))) (= x y))))) (let ((_let_9904 (forall ((u |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|) (e |u_(-> tptp.num tptp.product_prod_nat_num)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.nat)) (= (ho_5542 v ii) (ite (= i ii) e (ho_5542 u ii)))))))))) (let ((_let_9905 (forall ((x |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|) (y |u_(-> tptp.nat tptp.num tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.nat)) (= (ho_5542 x z) (ho_5542 y z)))) (= x y))))) (let ((_let_9906 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_8561 v ii) (ite (= i ii) e (ho_8561 u ii)))))))))) (let ((_let_9907 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ Bool Bool)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_8561 x z) (ho_8561 y z)))) (= x y))))) (let ((_let_9908 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_6939 v ii) (ite (= i ii) e (ho_6939 u ii)))))))))) (let ((_let_9909 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_6939 x z) (ho_6939 y z)))) (= x y))))) (let ((_let_9910 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_int)|)) (= (ho_8752 v ii) (ite (= i ii) e (ho_8752 u ii)))))))))) (let ((_let_9911 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_int)|)) (= (ho_8752 x z) (ho_8752 y z)))) (= x y))))) (let ((_let_9912 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_13885 v ii) (ite (= i ii) e (ho_13885 u ii)))))))))) (let ((_let_9913 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_13885 x z) (ho_13885 y z)))) (= x y))))) (let ((_let_9914 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|) (e |u_(-> tptp.product_unit tptp.rat tptp.product_unit)|) (i |u_(-> tptp.product_unit tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_7192 v ii) (ite (= i ii) e (ho_7192 u ii)))))))))) (let ((_let_9915 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.product_unit tptp.rat tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_7192 x z) (ho_7192 y z)))) (= x y))))) (let ((_let_9916 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_8570 v ii) (ite (= i ii) e (ho_8570 u ii)))))))))) (let ((_let_9917 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8570 x z) (ho_8570 y z)))) (= x y))))) (let ((_let_9918 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14750 v ii) (ite (= i ii) e (ho_14750 u ii)))))))))) (let ((_let_9919 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int Bool)|)) (= (ho_14750 x z) (ho_14750 y z)))) (= x y))))) (let ((_let_9920 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_8573 v ii) (ite (= i ii) e (ho_8573 u ii)))))))))) (let ((_let_9921 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit Bool Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_8573 x z) (ho_8573 y z)))) (= x y))))) (let ((_let_9922 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8576 v ii) (ite (= i ii) e (ho_8576 u ii)))))))))) (let ((_let_9923 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.product_unit tptp.set_Product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8576 x z) (ho_8576 y z)))) (= x y))))) (let ((_let_9924 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13071 v ii) (ite (= i ii) e (ho_13071 u ii)))))))))) (let ((_let_9925 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13071 x z) (ho_13071 y z)))) (= x y))))) (let ((_let_9926 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (= (ho_10103 v ii) (ite (= i ii) e (ho_10103 u ii)))))))))) (let ((_let_9927 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|)) (= (ho_10103 x z) (ho_10103 y z)))) (= x y))))) (let ((_let_9928 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|) (e |u_(-> _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|) (i |u_(-> tptp.set_nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_15109 v ii) (ite (= i ii) e (ho_15109 u ii)))))))))) (let ((_let_9929 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_rat)_ _u_(-> tptp.set_set_nat tptp.set_nat)_ tptp.set_set_nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_rat)|)) (= (ho_15109 x z) (ho_15109 y z)))) (= x y))))) (let ((_let_9930 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8606 v ii) (ite (= i ii) e (ho_8606 u ii)))))))))) (let ((_let_9931 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (= (ho_8606 x z) (ho_8606 y z)))) (= x y))))) (let ((_let_9932 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8604 v ii) (ite (= i ii) e (ho_8604 u ii)))))))))) (let ((_let_9933 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)_ tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8604 x z) (ho_8604 y z)))) (= x y))))) (let ((_let_9934 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|) (e |u_(-> tptp.num tptp.product_prod_num_nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13269 v ii) (ite (= i ii) e (ho_13269 u ii)))))))))) (let ((_let_9935 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13269 x z) (ho_13269 y z)))) (= x y))))) (let ((_let_9936 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|) (e |u_(-> tptp.int tptp.product_prod_num_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_12924 v ii) (ite (= i ii) e (ho_12924 u ii)))))))))) (let ((_let_9937 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.product_prod_num_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_12924 x z) (ho_12924 y z)))) (= x y))))) (let ((_let_9938 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (i |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (= (ho_12535 v ii) (ite (= i ii) e (ho_12535 u ii)))))))))) (let ((_let_9939 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)_ tptp.product_prod_nat_int tptp.product_prod_o_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_int tptp.product_prod_o_int)|)) (= (ho_12535 x z) (ho_12535 y z)))) (= x y))))) (let ((_let_9940 (forall ((u |u_(-> Bool tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii Bool)) (= (ho_8608 v ii) (ite (= i ii) e (ho_8608 u ii)))))))))) (let ((_let_9941 (forall ((x |u_(-> Bool tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> Bool tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z Bool)) (= (ho_8608 x z) (ho_8608 y z)))) (= x y))))) (let ((_let_9942 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8617 v ii) (ite (= i ii) e (ho_8617 u ii)))))))))) (let ((_let_9943 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.nat tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8617 x z) (ho_8617 y z)))) (= x y))))) (let ((_let_9944 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_12594 v ii) (ite (= i ii) e (ho_12594 u ii)))))))))) (let ((_let_9945 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_12594 x z) (ho_12594 y z)))) (= x y))))) (let ((_let_9946 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_10148 v ii) (ite (= i ii) e (ho_10148 u ii)))))))))) (let ((_let_9947 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_10148 x z) (ho_10148 y z)))) (= x y))))) (let ((_let_9948 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8621 v ii) (ite (= i ii) e (ho_8621 u ii)))))))))) (let ((_let_9949 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.produc3843707927480180839at_nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|)) (= (ho_8621 x z) (ho_8621 y z)))) (= x y))))) (let ((_let_9950 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8626 v ii) (ite (= i ii) e (ho_8626 u ii)))))))))) (let ((_let_9951 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8626 x z) (ho_8626 y z)))) (= x y))))) (let ((_let_9952 (forall ((u |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|) (e tptp.product_prod_nat_num) (i tptp.product_prod_num_nat)) (not (forall ((v |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (not (forall ((ii tptp.product_prod_num_nat)) (= (ho_11926 v ii) (ite (= i ii) e (ho_11926 u ii)))))))))) (let ((_let_9953 (forall ((x |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|) (y |u_(-> tptp.product_prod_num_nat tptp.product_prod_nat_num)|)) (or (not (forall ((z tptp.product_prod_num_nat)) (= (ho_11926 x z) (ho_11926 y z)))) (= x y))))) (let ((_let_9954 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_8636 v ii) (ite (= i ii) e (ho_8636 u ii)))))))))) (let ((_let_9955 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_8636 x z) (ho_8636 y z)))) (= x y))))) (let ((_let_9956 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num)|)) (= (ho_16020 v ii) (ite (= i ii) e (ho_16020 u ii)))))))))) (let ((_let_9957 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num)|)) (= (ho_16020 x z) (ho_16020 y z)))) (= x y))))) (let ((_let_9958 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8634 v ii) (ite (= i ii) e (ho_8634 u ii)))))))))) (let ((_let_9959 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)_ tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|)) (= (ho_8634 x z) (ho_8634 y z)))) (= x y))))) (let ((_let_9960 (forall ((u |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (e tptp.produc859450856879609959at_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_8638 v ii) (ite (= i ii) e (ho_8638 u ii)))))))))) (let ((_let_9961 (forall ((x |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_8638 x z) (ho_8638 y z)))) (= x y))))) (let ((_let_9962 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|) (i |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (= (ho_13304 v ii) (ite (= i ii) e (ho_13304 u ii)))))))))) (let ((_let_9963 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|) (y |u_(-> _u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)_ _u_(-> tptp.nat tptp.product_prod_nat_o)_ tptp.nat tptp.product_prod_num_o)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_o tptp.product_prod_num_o)|)) (= (ho_13304 x z) (ho_13304 y z)))) (= x y))))) (let ((_let_9964 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|) (e |u_(-> tptp.set_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14061 v ii) (ite (= i ii) e (ho_14061 u ii)))))))))) (let ((_let_9965 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14061 x z) (ho_14061 y z)))) (= x y))))) (let ((_let_9966 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_5606 v ii) (ite (= i ii) e (ho_5606 u ii)))))))))) (let ((_let_9967 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> Bool tptp.set_int)_ Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_5606 x z) (ho_5606 y z)))) (= x y))))) (let ((_let_9968 (forall ((u |u_(-> _u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)_ tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|) (e |u_(-> tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|) (i |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)_ tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (= (ho_8986 v ii) (ite (= i ii) e (ho_8986 u ii)))))))))) (let ((_let_9969 (forall ((x |u_(-> _u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)_ tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|) (y |u_(-> _u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)_ tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr6200539531224447659at_num tptp.nat tptp.num Bool)|)) (= (ho_8986 x z) (ho_8986 y z)))) (= x y))))) (let ((_let_9970 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|) (e tptp.produc2296667697112141421t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12469 v ii) (ite (= i ii) e (ho_12469 u ii)))))))))) (let ((_let_9971 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc2296667697112141421t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12469 x z) (ho_12469 y z)))) (= x y))))) (let ((_let_9972 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8640 v ii) (ite (= i ii) e (ho_8640 u ii)))))))))) (let ((_let_9973 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ _u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)_ tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8640 x z) (ho_8640 y z)))) (= x y))))) (let ((_let_9974 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_10398 v ii) (ite (= i ii) e (ho_10398 u ii)))))))))) (let ((_let_9975 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_10398 x z) (ho_10398 y z)))) (= x y))))) (let ((_let_9976 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8650 v ii) (ite (= i ii) e (ho_8650 u ii)))))))))) (let ((_let_9977 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8650 x z) (ho_8650 y z)))) (= x y))))) (let ((_let_9978 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (e |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8655 v ii) (ite (= i ii) e (ho_8655 u ii)))))))))) (let ((_let_9979 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8655 x z) (ho_8655 y z)))) (= x y))))) (let ((_let_9980 (forall ((u |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|) (e tptp.heap_e7401611519738050253t_unit) (i tptp.produc8126358835630522215t_unit)) (not (forall ((v |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|)) (not (forall ((ii tptp.produc8126358835630522215t_unit)) (= (ho_14177 v ii) (ite (= i ii) e (ho_14177 u ii)))))))))) (let ((_let_9981 (forall ((x |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|) (y |u_(-> tptp.produc8126358835630522215t_unit tptp.heap_e7401611519738050253t_unit)|)) (or (not (forall ((z tptp.produc8126358835630522215t_unit)) (= (ho_14177 x z) (ho_14177 y z)))) (= x y))))) (let ((_let_9982 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8653 v ii) (ite (= i ii) e (ho_8653 u ii)))))))))) (let ((_let_9983 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.nat tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8653 x z) (ho_8653 y z)))) (= x y))))) (let ((_let_9984 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12238 v ii) (ite (= i ii) e (ho_12238 u ii)))))))))) (let ((_let_9985 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12238 x z) (ho_12238 y z)))) (= x y))))) (let ((_let_9986 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7907 v ii) (ite (= i ii) e (ho_7907 u ii)))))))))) (let ((_let_9987 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Product_unit Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7907 x z) (ho_7907 y z)))) (= x y))))) (let ((_let_9988 (forall ((u |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_8658 v ii) (ite (= i ii) e (ho_8658 u ii)))))))))) (let ((_let_9989 (forall ((x |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_8658 x z) (ho_8658 y z)))) (= x y))))) (let ((_let_9990 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_10746 v ii) (ite (= i ii) e (ho_10746 u ii)))))))))) (let ((_let_9991 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_10746 x z) (ho_10746 y z)))) (= x y))))) (let ((_let_9992 (forall ((u |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8657 v ii) (ite (= i ii) e (ho_8657 u ii)))))))))) (let ((_let_9993 (forall ((x |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.produc859450856879609959at_nat)_ tptp.set_nat tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|)) (= (ho_8657 x z) (ho_8657 y z)))) (= x y))))) (let ((_let_9994 (forall ((u |u_(-> tptp.rat tptp.product_prod_nat_rat)|) (e tptp.product_prod_nat_rat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.product_prod_nat_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_10298 v ii) (ite (= i ii) e (ho_10298 u ii)))))))))) (let ((_let_9995 (forall ((x |u_(-> tptp.rat tptp.product_prod_nat_rat)|) (y |u_(-> tptp.rat tptp.product_prod_nat_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_10298 x z) (ho_10298 y z)))) (= x y))))) (let ((_let_9996 (forall ((u |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_rat tptp.set_set_nat)|) (e |u_(-> tptp.set_rat tptp.set_set_nat)|) (i |u_(-> tptp.rat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_rat tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_9294 v ii) (ite (= i ii) e (ho_9294 u ii)))))))))) (let ((_let_9997 (forall ((x |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_rat tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.rat tptp.set_nat)_ tptp.set_rat tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.set_nat)|)) (= (ho_9294 x z) (ho_9294 y z)))) (= x y))))) (let ((_let_9998 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_8671 v ii) (ite (= i ii) e (ho_8671 u ii)))))))))) (let ((_let_9999 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_8671 x z) (ho_8671 y z)))) (= x y))))) (let ((_let_10000 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> tptp.int tptp.rat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16019 v ii) (ite (= i ii) e (ho_16019 u ii)))))))))) (let ((_let_10001 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16019 x z) (ho_16019 y z)))) (= x y))))) (let ((_let_10002 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (= (ho_9550 v ii) (ite (= i ii) e (ho_9550 u ii)))))))))) (let ((_let_10003 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (= (ho_9550 x z) (ho_9550 y z)))) (= x y))))) (let ((_let_10004 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8690 v ii) (ite (= i ii) e (ho_8690 u ii)))))))))) (let ((_let_10005 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.set_int)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8690 x z) (ho_8690 y z)))) (= x y))))) (let ((_let_10006 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16018 v ii) (ite (= i ii) e (ho_16018 u ii)))))))))) (let ((_let_10007 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (= (ho_16018 x z) (ho_16018 y z)))) (= x y))))) (let ((_let_10008 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8693 v ii) (ite (= i ii) e (ho_8693 u ii)))))))))) (let ((_let_10009 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> Bool tptp.set_o)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8693 x z) (ho_8693 y z)))) (= x y))))) (let ((_let_10010 (forall ((u |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i |u_(-> Bool tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.set_o)|)) (= (ho_8698 v ii) (ite (= i ii) e (ho_8698 u ii)))))))))) (let ((_let_10011 (forall ((x |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.set_o)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_o)|)) (= (ho_8698 x z) (ho_8698 y z)))) (= x y))))) (let ((_let_10012 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12881 v ii) (ite (= i ii) e (ho_12881 u ii)))))))))) (let ((_let_10013 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12881 x z) (ho_12881 y z)))) (= x y))))) (let ((_let_10014 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8700 v ii) (ite (= i ii) e (ho_8700 u ii)))))))))) (let ((_let_10015 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> Bool tptp.set_Product_unit)_ tptp.set_o tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8700 x z) (ho_8700 y z)))) (= x y))))) (let ((_let_10016 (forall ((u |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i |u_(-> Bool tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8704 v ii) (ite (= i ii) e (ho_8704 u ii)))))))))) (let ((_let_10017 (forall ((x |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Product_unit)|)) (= (ho_8704 x z) (ho_8704 y z)))) (= x y))))) (let ((_let_10018 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10596 v ii) (ite (= i ii) e (ho_10596 u ii)))))))))) (let ((_let_10019 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10596 x z) (ho_10596 y z)))) (= x y))))) (let ((_let_10020 (forall ((u |u_(-> tptp.produc859450856879609959at_nat Bool)|) (e Bool) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_6748 v ii) (ite (= i ii) e (ho_6748 u ii)))))))))) (let ((_let_10021 (forall ((x |u_(-> tptp.produc859450856879609959at_nat Bool)|) (y |u_(-> tptp.produc859450856879609959at_nat Bool)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_6748 x z) (ho_6748 y z)))) (= x y))))) (let ((_let_10022 (forall ((u |u_(-> tptp.set_int tptp.rat tptp.set_nat)|) (e |u_(-> tptp.rat tptp.set_nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.rat tptp.set_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_10015 v ii) (ite (= i ii) e (ho_10015 u ii)))))))))) (let ((_let_10023 (forall ((x |u_(-> tptp.set_int tptp.rat tptp.set_nat)|) (y |u_(-> tptp.set_int tptp.rat tptp.set_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10015 x z) (ho_10015 y z)))) (= x y))))) (let ((_let_10024 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|) (e tptp.set_rat) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_15556 v ii) (ite (= i ii) e (ho_15556 u ii)))))))))) (let ((_let_10025 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_rat)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_15556 x z) (ho_15556 y z)))) (= x y))))) (let ((_let_10026 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_16017 v ii) (ite (= i ii) e (ho_16017 u ii)))))))))) (let ((_let_10027 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_16017 x z) (ho_16017 y z)))) (= x y))))) (let ((_let_10028 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.int)|) (e |u_(-> _u_(-> Bool tptp.set_int)_ Bool tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8708 v ii) (ite (= i ii) e (ho_8708 u ii)))))))))) (let ((_let_10029 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> Bool tptp.set_int)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8708 x z) (ho_8708 y z)))) (= x y))))) (let ((_let_10030 (forall ((u |u_(-> tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_8716 v ii) (ite (= i ii) e (ho_8716 u ii)))))))))) (let ((_let_10031 (forall ((x |u_(-> tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_8716 x z) (ho_8716 y z)))) (= x y))))) (let ((_let_10032 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8715 v ii) (ite (= i ii) e (ho_8715 u ii)))))))))) (let ((_let_10033 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_o)|)) (= (ho_8715 x z) (ho_8715 y z)))) (= x y))))) (let ((_let_10034 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.int tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_12845 v ii) (ite (= i ii) e (ho_12845 u ii)))))))))) (let ((_let_10035 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat Bool)|)) (= (ho_12845 x z) (ho_12845 y z)))) (= x y))))) (let ((_let_10036 (forall ((u |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr7459493094073627847at_nat)|) (e tptp.set_Pr7459493094073627847at_nat) (i tptp.set_se7592288975875140775at_nat)) (not (forall ((v |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_se7592288975875140775at_nat)) (= (ho_9005 v ii) (ite (= i ii) e (ho_9005 u ii)))))))))) (let ((_let_10037 (forall ((x |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_se7592288975875140775at_nat)) (= (ho_9005 x z) (ho_9005 y z)))) (= x y))))) (let ((_let_10038 (forall ((u |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (e tptp.produc859450856879609959at_nat) (i tptp.produc4196048018000912732at_int)) (not (forall ((v |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii tptp.produc4196048018000912732at_int)) (= (ho_12270 v ii) (ite (= i ii) e (ho_12270 u ii)))))))))) (let ((_let_10039 (forall ((x |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (y |u_(-> tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z tptp.produc4196048018000912732at_int)) (= (ho_12270 x z) (ho_12270 y z)))) (= x y))))) (let ((_let_10040 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8714 v ii) (ite (= i ii) e (ho_8714 u ii)))))))))) (let ((_let_10041 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8714 x z) (ho_8714 y z)))) (= x y))))) (let ((_let_10042 (forall ((u |u_(-> tptp.set_set_int tptp.set_int)|) (e tptp.set_int) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_int)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_9247 v ii) (ite (= i ii) e (ho_9247 u ii)))))))))) (let ((_let_10043 (forall ((x |u_(-> tptp.set_set_int tptp.set_int)|) (y |u_(-> tptp.set_set_int tptp.set_int)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_9247 x z) (ho_9247 y z)))) (= x y))))) (let ((_let_10044 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10554 v ii) (ite (= i ii) e (ho_10554 u ii)))))))))) (let ((_let_10045 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10554 x z) (ho_10554 y z)))) (= x y))))) (let ((_let_10046 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8723 v ii) (ite (= i ii) e (ho_8723 u ii)))))))))) (let ((_let_10047 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Product_unit)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Product_unit)|)) (= (ho_8723 x z) (ho_8723 y z)))) (= x y))))) (let ((_let_10048 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8728 v ii) (ite (= i ii) e (ho_8728 u ii)))))))))) (let ((_let_10049 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.set_Product_unit tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8728 x z) (ho_8728 y z)))) (= x y))))) (let ((_let_10050 (forall ((u |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|) (e |u_(-> tptp.int tptp.product_prod_rat_int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|)) (not (forall ((ii tptp.nat)) (= (ho_10315 v ii) (ite (= i ii) e (ho_10315 u ii)))))))))) (let ((_let_10051 (forall ((x |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|) (y |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_10315 x z) (ho_10315 y z)))) (= x y))))) (let ((_let_10052 (forall ((u |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|) (i tptp.set_Pr958786334691620121nt_int)) (not (forall ((v |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|)) (not (forall ((ii tptp.set_Pr958786334691620121nt_int)) (= (ho_13998 v ii) (ite (= i ii) e (ho_13998 u ii)))))))))) (let ((_let_10053 (forall ((x |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|) (y |u_(-> tptp.set_Pr958786334691620121nt_int _u_(-> tptp.product_prod_int_int tptp.num)_ tptp.product_prod_int_int tptp.num Bool)|)) (or (not (forall ((z tptp.set_Pr958786334691620121nt_int)) (= (ho_13998 x z) (ho_13998 y z)))) (= x y))))) (let ((_let_10054 (forall ((u |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (i |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12695 v ii) (ite (= i ii) e (ho_12695 u ii)))))))))) (let ((_let_10055 (forall ((x |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> _u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.heap_e7401611519738050253t_unit tptp.nat)|)) (= (ho_12695 x z) (ho_12695 y z)))) (= x y))))) (let ((_let_10056 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8732 v ii) (ite (= i ii) e (ho_8732 u ii)))))))))) (let ((_let_10057 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.product_unit tptp.set_int)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8732 x z) (ho_8732 y z)))) (= x y))))) (let ((_let_10058 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_8735 v ii) (ite (= i ii) e (ho_8735 u ii)))))))))) (let ((_let_10059 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.int tptp.set_o)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_8735 x z) (ho_8735 y z)))) (= x y))))) (let ((_let_10060 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|) (e |u_(-> tptp.rat tptp.nat)|) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_13600 v ii) (ite (= i ii) e (ho_13600 u ii)))))))))) (let ((_let_10061 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_13600 x z) (ho_13600 y z)))) (= x y))))) (let ((_let_10062 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_12018 v ii) (ite (= i ii) e (ho_12018 u ii)))))))))) (let ((_let_10063 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_12018 x z) (ho_12018 y z)))) (= x y))))) (let ((_let_10064 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.set_Product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_8747 v ii) (ite (= i ii) e (ho_8747 u ii)))))))))) (let ((_let_10065 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_Product_unit)|)) (= (ho_8747 x z) (ho_8747 y z)))) (= x y))))) (let ((_let_10066 (forall ((u |u_(-> tptp.set_Pr903927857289325719_int_o Bool)|) (e Bool) (i tptp.set_Pr903927857289325719_int_o)) (not (forall ((v |u_(-> tptp.set_Pr903927857289325719_int_o Bool)|)) (not (forall ((ii tptp.set_Pr903927857289325719_int_o)) (= (ho_14566 v ii) (ite (= i ii) e (ho_14566 u ii)))))))))) (let ((_let_10067 (forall ((x |u_(-> tptp.set_Pr903927857289325719_int_o Bool)|) (y |u_(-> tptp.set_Pr903927857289325719_int_o Bool)|)) (or (not (forall ((z tptp.set_Pr903927857289325719_int_o)) (= (ho_14566 x z) (ho_14566 y z)))) (= x y))))) (let ((_let_10068 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_14497 v ii) (ite (= i ii) e (ho_14497 u ii)))))))))) (let ((_let_10069 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.int)_ tptp.set_Pr7995236796853374141at_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_14497 x z) (ho_14497 y z)))) (= x y))))) (let ((_let_10070 (forall ((u |u_(-> tptp.set_nat tptp.nat tptp.set_int)|) (e |u_(-> tptp.nat tptp.set_int)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.nat tptp.set_int)|)) (not (forall ((ii tptp.set_nat)) (= (ho_9994 v ii) (ite (= i ii) e (ho_9994 u ii)))))))))) (let ((_let_10071 (forall ((x |u_(-> tptp.set_nat tptp.nat tptp.set_int)|) (y |u_(-> tptp.set_nat tptp.nat tptp.set_int)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_9994 x z) (ho_9994 y z)))) (= x y))))) (let ((_let_10072 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_8751 v ii) (ite (= i ii) e (ho_8751 u ii)))))))))) (let ((_let_10073 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.set_int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_8751 x z) (ho_8751 y z)))) (= x y))))) (let ((_let_10074 (forall ((u |u_(-> tptp.nat tptp.int tptp.nat tptp.int)|) (e |u_(-> tptp.int tptp.nat tptp.int)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.nat tptp.int)|)) (not (forall ((ii tptp.nat)) (= (ho_15633 v ii) (ite (= i ii) e (ho_15633 u ii)))))))))) (let ((_let_10075 (forall ((x |u_(-> tptp.nat tptp.int tptp.nat tptp.int)|) (y |u_(-> tptp.nat tptp.int tptp.nat tptp.int)|)) (or (not (forall ((z tptp.nat)) (= (ho_15633 x z) (ho_15633 y z)))) (= x y))))) (let ((_let_10076 (forall ((u |u_(-> _u_(-> tptp.char tptp.rat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|) (e |u_(-> _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|) (i |u_(-> tptp.char tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.rat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.rat)|)) (= (ho_13556 v ii) (ite (= i ii) e (ho_13556 u ii)))))))))) (let ((_let_10077 (forall ((x |u_(-> _u_(-> tptp.char tptp.rat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|) (y |u_(-> _u_(-> tptp.char tptp.rat)_ _u_(-> tptp.char tptp.char)_ tptp.char tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.rat)|)) (= (ho_13556 x z) (ho_13556 y z)))) (= x y))))) (let ((_let_10078 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.set_int)|) (e |u_(-> tptp.set_nat tptp.nat tptp.set_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_9993 v ii) (ite (= i ii) e (ho_9993 u ii)))))))))) (let ((_let_10079 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_9993 x z) (ho_9993 y z)))) (= x y))))) (let ((_let_10080 (forall ((u |u_(-> tptp.set_int tptp.set_o tptp.int Bool)|) (e |u_(-> tptp.set_o tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_o tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8793 v ii) (ite (= i ii) e (ho_8793 u ii)))))))))) (let ((_let_10081 (forall ((x |u_(-> tptp.set_int tptp.set_o tptp.int Bool)|) (y |u_(-> tptp.set_int tptp.set_o tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8793 x z) (ho_8793 y z)))) (= x y))))) (let ((_let_10082 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (= (ho_15862 v ii) (ite (= i ii) e (ho_15862 u ii)))))))))) (let ((_let_10083 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (= (ho_15862 x z) (ho_15862 y z)))) (= x y))))) (let ((_let_10084 (forall ((u |u_(-> tptp.produc1319942482725812455at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|) (i tptp.produc1319942482725812455at_nat)) (not (forall ((v |u_(-> tptp.produc1319942482725812455at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|)) (not (forall ((ii tptp.produc1319942482725812455at_nat)) (= (ho_14994 v ii) (ite (= i ii) e (ho_14994 u ii)))))))))) (let ((_let_10085 (forall ((x |u_(-> tptp.produc1319942482725812455at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|) (y |u_(-> tptp.produc1319942482725812455at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.produc1319942482725812455at_nat)|)) (or (not (forall ((z tptp.produc1319942482725812455at_nat)) (= (ho_14994 x z) (ho_14994 y z)))) (= x y))))) (let ((_let_10086 (forall ((u |u_(-> tptp.int tptp.code_integer)|) (e tptp.code_integer) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.code_integer)|)) (not (forall ((ii tptp.int)) (= (ho_10713 v ii) (ite (= i ii) e (ho_10713 u ii)))))))))) (let ((_let_10087 (forall ((x |u_(-> tptp.int tptp.code_integer)|) (y |u_(-> tptp.int tptp.code_integer)|)) (or (not (forall ((z tptp.int)) (= (ho_10713 x z) (ho_10713 y z)))) (= x y))))) (let ((_let_10088 (forall ((u |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (e tptp.set_Pr5464989305201766866unit_o) (i tptp.set_Pr5464989305201766866unit_o)) (not (forall ((v |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|)) (not (forall ((ii tptp.set_Pr5464989305201766866unit_o)) (= (ho_15193 v ii) (ite (= i ii) e (ho_15193 u ii)))))))))) (let ((_let_10089 (forall ((x |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|) (y |u_(-> tptp.set_Pr5464989305201766866unit_o tptp.set_Pr5464989305201766866unit_o)|)) (or (not (forall ((z tptp.set_Pr5464989305201766866unit_o)) (= (ho_15193 x z) (ho_15193 y z)))) (= x y))))) (let ((_let_10090 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7792 v ii) (ite (= i ii) e (ho_7792 u ii)))))))))) (let ((_let_10091 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7792 x z) (ho_7792 y z)))) (= x y))))) (let ((_let_10092 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|) (e Bool) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_10411 v ii) (ite (= i ii) e (ho_10411 u ii)))))))))) (let ((_let_10093 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_10411 x z) (ho_10411 y z)))) (= x y))))) (let ((_let_10094 (forall ((u |u_(-> tptp.set_char tptp.set_char)|) (e tptp.set_char) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8821 v ii) (ite (= i ii) e (ho_8821 u ii)))))))))) (let ((_let_10095 (forall ((x |u_(-> tptp.set_char tptp.set_char)|) (y |u_(-> tptp.set_char tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8821 x z) (ho_8821 y z)))) (= x y))))) (let ((_let_10096 (forall ((u |u_(-> Bool tptp.set_char)|) (e tptp.set_char) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_char)|)) (not (forall ((ii Bool)) (= (ho_8823 v ii) (ite (= i ii) e (ho_8823 u ii)))))))))) (let ((_let_10097 (forall ((x |u_(-> Bool tptp.set_char)|) (y |u_(-> Bool tptp.set_char)|)) (or (not (forall ((z Bool)) (= (ho_8823 x z) (ho_8823 y z)))) (= x y))))) (let ((_let_10098 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_8305 v ii) (ite (= i ii) e (ho_8305 u ii)))))))))) (let ((_let_10099 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_8305 x z) (ho_8305 y z)))) (= x y))))) (let ((_let_10100 (forall ((u |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_char Bool tptp.set_char)|) (e |u_(-> tptp.set_char Bool tptp.set_char)|) (i |u_(-> Bool tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_char Bool tptp.set_char)|)) (not (forall ((ii |u_(-> Bool tptp.set_char)|)) (= (ho_8825 v ii) (ite (= i ii) e (ho_8825 u ii)))))))))) (let ((_let_10101 (forall ((x |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_char Bool tptp.set_char)|) (y |u_(-> _u_(-> Bool tptp.set_char)_ tptp.set_char Bool tptp.set_char)|)) (or (not (forall ((z |u_(-> Bool tptp.set_char)|)) (= (ho_8825 x z) (ho_8825 y z)))) (= x y))))) (let ((_let_10102 (forall ((u |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (= (ho_12887 v ii) (ite (= i ii) e (ho_12887 u ii)))))))))) (let ((_let_10103 (forall ((x |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)_ _u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ Bool)|)) (= (ho_12887 x z) (ho_12887 y z)))) (= x y))))) (let ((_let_10104 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.nat tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8838 v ii) (ite (= i ii) e (ho_8838 u ii)))))))))) (let ((_let_10105 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_int)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_int)|)) (= (ho_8838 x z) (ho_8838 y z)))) (= x y))))) (let ((_let_10106 (forall ((u |u_(-> _u_(-> Bool tptp.set_int)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> Bool tptp.set_int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_int)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_int)|)) (= (ho_8844 v ii) (ite (= i ii) e (ho_8844 u ii)))))))))) (let ((_let_10107 (forall ((x |u_(-> _u_(-> Bool tptp.set_int)_ tptp.int Bool)|) (y |u_(-> _u_(-> Bool tptp.set_int)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_int)|)) (= (ho_8844 x z) (ho_8844 y z)))) (= x y))))) (let ((_let_10108 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|) (e |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13673 v ii) (ite (= i ii) e (ho_13673 u ii)))))))))) (let ((_let_10109 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ tptp.list_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_13673 x z) (ho_13673 y z)))) (= x y))))) (let ((_let_10110 (forall ((u |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_13918 v ii) (ite (= i ii) e (ho_13918 u ii)))))))))) (let ((_let_10111 (forall ((x |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|) (y |u_(-> tptp.set_nat _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.char Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_13918 x z) (ho_13918 y z)))) (= x y))))) (let ((_let_10112 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (e tptp.produc7812382424243267045t_unit) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_12389 v ii) (ite (= i ii) e (ho_12389 u ii)))))))))) (let ((_let_10113 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.produc7812382424243267045t_unit)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_12389 x z) (ho_12389 y z)))) (= x y))))) (let ((_let_10114 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8663 v ii) (ite (= i ii) e (ho_8663 u ii)))))))))) (let ((_let_10115 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8663 x z) (ho_8663 y z)))) (= x y))))) (let ((_let_10116 (forall ((u |u_(-> _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|) (e |u_(-> Bool tptp.set_rat)|) (i |u_(-> Bool tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|)) (not (forall ((ii |u_(-> Bool tptp.set_rat)|)) (= (ho_8860 v ii) (ite (= i ii) e (ho_8860 u ii)))))))))) (let ((_let_10117 (forall ((x |u_(-> _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|) (y |u_(-> _u_(-> Bool tptp.set_rat)_ Bool tptp.set_rat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_rat)|)) (= (ho_8860 x z) (ho_8860 y z)))) (= x y))))) (let ((_let_10118 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int Bool)|) (e |u_(-> tptp.set_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_9426 v ii) (ite (= i ii) e (ho_9426 u ii)))))))))) (let ((_let_10119 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_9426 x z) (ho_9426 y z)))) (= x y))))) (let ((_let_10120 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_8668 v ii) (ite (= i ii) e (ho_8668 u ii)))))))))) (let ((_let_10121 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_8668 x z) (ho_8668 y z)))) (= x y))))) (let ((_let_10122 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.nat)_ Bool Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_11137 v ii) (ite (= i ii) e (ho_11137 u ii)))))))))) (let ((_let_10123 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_11137 x z) (ho_11137 y z)))) (= x y))))) (let ((_let_10124 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|) (e |u_(-> _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8867 v ii) (ite (= i ii) e (ho_8867 u ii)))))))))) (let ((_let_10125 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|) (y |u_(-> tptp.set_char _u_(-> tptp.nat tptp.set_char)_ tptp.nat tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8867 x z) (ho_8867 y z)))) (= x y))))) (let ((_let_10126 (forall ((u |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|) (e tptp.set_Pr4256460214963601898ar_rat) (i tptp.set_Pr1413074515586503650ar_nat)) (not (forall ((v |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii tptp.set_Pr1413074515586503650ar_nat)) (= (ho_13458 v ii) (ite (= i ii) e (ho_13458 u ii)))))))))) (let ((_let_10127 (forall ((x |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> tptp.set_Pr1413074515586503650ar_nat tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z tptp.set_Pr1413074515586503650ar_nat)) (= (ho_13458 x z) (ho_13458 y z)))) (= x y))))) (let ((_let_10128 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_12410 v ii) (ite (= i ii) e (ho_12410 u ii)))))))))) (let ((_let_10129 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_12410 x z) (ho_12410 y z)))) (= x y))))) (let ((_let_10130 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_8875 v ii) (ite (= i ii) e (ho_8875 u ii)))))))))) (let ((_let_10131 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|) (y |u_(-> tptp.set_char _u_(-> tptp.product_unit tptp.set_char)_ tptp.product_unit tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_8875 x z) (ho_8875 y z)))) (= x y))))) (let ((_let_10132 (forall ((u |u_(-> tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_8880 v ii) (ite (= i ii) e (ho_8880 u ii)))))))))) (let ((_let_10133 (forall ((x |u_(-> tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_int tptp.int tptp.set_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8880 x z) (ho_8880 y z)))) (= x y))))) (let ((_let_10134 (forall ((u |u_(-> tptp.num tptp.set_num tptp.set_num)|) (e |u_(-> tptp.set_num tptp.set_num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_num tptp.set_num)|)) (not (forall ((ii tptp.num)) (= (ho_8886 v ii) (ite (= i ii) e (ho_8886 u ii)))))))))) (let ((_let_10135 (forall ((x |u_(-> tptp.num tptp.set_num tptp.set_num)|) (y |u_(-> tptp.num tptp.set_num tptp.set_num)|)) (or (not (forall ((z tptp.num)) (= (ho_8886 x z) (ho_8886 y z)))) (= x y))))) (let ((_let_10136 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (e |u_(-> tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12201 v ii) (ite (= i ii) e (ho_12201 u ii)))))))))) (let ((_let_10137 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.produc2963269191615333738nteger tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer Bool)|)) (= (ho_12201 x z) (ho_12201 y z)))) (= x y))))) (let ((_let_10138 (forall ((u |u_(-> _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num)|) (i |u_(-> tptp.num tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.int)|)) (= (ho_7318 v ii) (ite (= i ii) e (ho_7318 u ii)))))))))) (let ((_let_10139 (forall ((x |u_(-> _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.int)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.int)|)) (= (ho_7318 x z) (ho_7318 y z)))) (= x y))))) (let ((_let_10140 (forall ((u |u_(-> Bool tptp.set_o tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.product_unit tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_8903 v ii) (ite (= i ii) e (ho_8903 u ii)))))))))) (let ((_let_10141 (forall ((x |u_(-> Bool tptp.set_o tptp.product_unit tptp.set_o)|) (y |u_(-> Bool tptp.set_o tptp.product_unit tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_8903 x z) (ho_8903 y z)))) (= x y))))) (let ((_let_10142 (forall ((u |u_(-> Bool tptp.set_o tptp.nat tptp.set_o)|) (e |u_(-> tptp.set_o tptp.nat tptp.set_o)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.set_o tptp.nat tptp.set_o)|)) (not (forall ((ii Bool)) (= (ho_8915 v ii) (ite (= i ii) e (ho_8915 u ii)))))))))) (let ((_let_10143 (forall ((x |u_(-> Bool tptp.set_o tptp.nat tptp.set_o)|) (y |u_(-> Bool tptp.set_o tptp.nat tptp.set_o)|)) (or (not (forall ((z Bool)) (= (ho_8915 x z) (ho_8915 y z)))) (= x y))))) (let ((_let_10144 (forall ((u |u_(-> Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii Bool)) (= (ho_10836 v ii) (ite (= i ii) e (ho_10836 u ii)))))))))) (let ((_let_10145 (forall ((x |u_(-> Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z Bool)) (= (ho_10836 x z) (ho_10836 y z)))) (= x y))))) (let ((_let_10146 (forall ((u |u_(-> tptp.char tptp.rat)|) (e tptp.rat) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.rat)|)) (not (forall ((ii tptp.char)) (= (ho_11067 v ii) (ite (= i ii) e (ho_11067 u ii)))))))))) (let ((_let_10147 (forall ((x |u_(-> tptp.char tptp.rat)|) (y |u_(-> tptp.char tptp.rat)|)) (or (not (forall ((z tptp.char)) (= (ho_11067 x z) (ho_11067 y z)))) (= x y))))) (let ((_let_10148 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (e |u_(-> Bool tptp.set_int)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5597 v ii) (ite (= i ii) e (ho_5597 u ii)))))))))) (let ((_let_10149 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.set_int)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5597 x z) (ho_5597 y z)))) (= x y))))) (let ((_let_10150 (forall ((u |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_8919 v ii) (ite (= i ii) e (ho_8919 u ii)))))))))) (let ((_let_10151 (forall ((x |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit tptp.set_Product_unit tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_8919 x z) (ho_8919 y z)))) (= x y))))) (let ((_let_10152 (forall ((u |u_(-> tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|) (e tptp.set_nat_num_o) (i tptp.set_se4826145725398303499at_num)) (not (forall ((v |u_(-> tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|)) (not (forall ((ii tptp.set_se4826145725398303499at_num)) (= (ho_8987 v ii) (ite (= i ii) e (ho_8987 u ii)))))))))) (let ((_let_10153 (forall ((x |u_(-> tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|) (y |u_(-> tptp.set_se4826145725398303499at_num tptp.set_nat_num_o)|)) (or (not (forall ((z tptp.set_se4826145725398303499at_num)) (= (ho_8987 x z) (ho_8987 y z)))) (= x y))))) (let ((_let_10154 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)_ tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|) (e |u_(-> tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|) (i |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)_ tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|)) (= (ho_8991 v ii) (ite (= i ii) e (ho_8991 u ii)))))))))) (let ((_let_10155 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)_ tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)_ tptp.set_nat_num_o tptp.set_Pr5908833319024110760_num_o)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.product_prod_nat_num Bool)|)) (= (ho_8991 x z) (ho_8991 y z)))) (= x y))))) (let ((_let_10156 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)_ tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|) (e |u_(-> tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|) (i |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)_ tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|)) (= (ho_8996 v ii) (ite (= i ii) e (ho_8996 u ii)))))))))) (let ((_let_10157 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)_ tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)_ tptp.set_Pr5908833319024110760_num_o tptp.set_se4826145725398303499at_num)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_num Bool)_ tptp.set_Pr6200539531224447659at_num)|)) (= (ho_8996 x z) (ho_8996 y z)))) (= x y))))) (let ((_let_10158 (forall ((u |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|) (e tptp.set_se7255092946006855566_nat_o) (i tptp.set_se7592288975875140775at_nat)) (not (forall ((v |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|)) (not (forall ((ii tptp.set_se7592288975875140775at_nat)) (= (ho_9008 v ii) (ite (= i ii) e (ho_9008 u ii)))))))))) (let ((_let_10159 (forall ((x |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|) (y |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|)) (or (not (forall ((z tptp.set_se7592288975875140775at_nat)) (= (ho_9008 x z) (ho_9008 y z)))) (= x y))))) (let ((_let_10160 (forall ((u |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (i |u_(-> tptp.int tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11403 v ii) (ite (= i ii) e (ho_11403 u ii)))))))))) (let ((_let_10161 (forall ((x |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11403 x z) (ho_11403 y z)))) (= x y))))) (let ((_let_10162 (forall ((u |u_(-> _u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|) (e |u_(-> tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|) (i |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|)) (not (forall ((ii |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_9007 v ii) (ite (= i ii) e (ho_9007 u ii)))))))))) (let ((_let_10163 (forall ((x |u_(-> _u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|) (y |u_(-> _u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_se7592288975875140775at_nat tptp.set_se7255092946006855566_nat_o)|)) (or (not (forall ((z |u_(-> tptp.set_Pr7459493094073627847at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_9007 x z) (ho_9007 y z)))) (= x y))))) (let ((_let_10164 (forall ((u |u_(-> _u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)_ tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|) (e |u_(-> tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|) (i |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)_ tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|)) (not (forall ((ii |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_9012 v ii) (ite (= i ii) e (ho_9012 u ii)))))))))) (let ((_let_10165 (forall ((x |u_(-> _u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)_ tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|) (y |u_(-> _u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)_ tptp.set_se7255092946006855566_nat_o tptp.set_Pr7669914128964046860_nat_o)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_9012 x z) (ho_9012 y z)))) (= x y))))) (let ((_let_10166 (forall ((u |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|) (e tptp.set_Pr7459493094073627847at_nat) (i |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_9015 v ii) (ite (= i ii) e (ho_9015 u ii)))))))))) (let ((_let_10167 (forall ((x |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> _u_(-> tptp.produc1319942482725812455at_nat Bool)_ tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1319942482725812455at_nat Bool)|)) (= (ho_9015 x z) (ho_9015 y z)))) (= x y))))) (let ((_let_10168 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_9084 v ii) (ite (= i ii) e (ho_9084 u ii)))))))))) (let ((_let_10169 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_9084 x z) (ho_9084 y z)))) (= x y))))) (let ((_let_10170 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_9117 v ii) (ite (= i ii) e (ho_9117 u ii)))))))))) (let ((_let_10171 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat tptp.set_Pr7459493094073627847at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_9117 x z) (ho_9117 y z)))) (= x y))))) (let ((_let_10172 (forall ((u |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.char)|)) (= (ho_10339 v ii) (ite (= i ii) e (ho_10339 u ii)))))))))) (let ((_let_10173 (forall ((x |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.char)|)) (= (ho_10339 x z) (ho_10339 y z)))) (= x y))))) (let ((_let_10174 (forall ((u |u_(-> tptp.int tptp.product_unit tptp.int)|) (e |u_(-> tptp.product_unit tptp.int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.product_unit tptp.int)|)) (not (forall ((ii tptp.int)) (= (ho_9140 v ii) (ite (= i ii) e (ho_9140 u ii)))))))))) (let ((_let_10175 (forall ((x |u_(-> tptp.int tptp.product_unit tptp.int)|) (y |u_(-> tptp.int tptp.product_unit tptp.int)|)) (or (not (forall ((z tptp.int)) (= (ho_9140 x z) (ho_9140 y z)))) (= x y))))) (let ((_let_10176 (forall ((u |u_(-> tptp.set_o Bool)|) (e Bool) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_4540 v ii) (ite (= i ii) e (ho_4540 u ii)))))))))) (let ((_let_10177 (forall ((x |u_(-> tptp.set_o Bool)|) (y |u_(-> tptp.set_o Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_4540 x z) (ho_4540 y z)))) (= x y))))) (let ((_let_10178 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9219 v ii) (ite (= i ii) e (ho_9219 u ii)))))))))) (let ((_let_10179 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9219 x z) (ho_9219 y z)))) (= x y))))) (let ((_let_10180 (forall ((u |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|) (e |u_(-> tptp.int tptp.product_prod_rat_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_10321 v ii) (ite (= i ii) e (ho_10321 u ii)))))))))) (let ((_let_10181 (forall ((x |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|) (y |u_(-> tptp.nat tptp.int tptp.product_prod_rat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10321 x z) (ho_10321 y z)))) (= x y))))) (let ((_let_10182 (forall ((u |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|) (i tptp.set_Code_integer)) (not (forall ((v |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|)) (not (forall ((ii tptp.set_Code_integer)) (= (ho_15237 v ii) (ite (= i ii) e (ho_15237 u ii)))))))))) (let ((_let_10183 (forall ((x |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|) (y |u_(-> tptp.set_Code_integer _u_(-> tptp.code_integer tptp.set_Code_integer)_ tptp.set_Pr4811707699266497531nteger)|)) (or (not (forall ((z tptp.set_Code_integer)) (= (ho_15237 x z) (ho_15237 y z)))) (= x y))))) (let ((_let_10184 (forall ((u |u_(-> tptp.set_nat Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat Bool Bool)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7473 v ii) (ite (= i ii) e (ho_7473 u ii)))))))))) (let ((_let_10185 (forall ((x |u_(-> tptp.set_nat Bool Bool)|) (y |u_(-> tptp.set_nat Bool Bool)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7473 x z) (ho_7473 y z)))) (= x y))))) (let ((_let_10186 (forall ((u |u_(-> tptp.set_Co726186806682698383nteger Bool)|) (e Bool) (i tptp.set_Co726186806682698383nteger)) (not (forall ((v |u_(-> tptp.set_Co726186806682698383nteger Bool)|)) (not (forall ((ii tptp.set_Co726186806682698383nteger)) (= (ho_10417 v ii) (ite (= i ii) e (ho_10417 u ii)))))))))) (let ((_let_10187 (forall ((x |u_(-> tptp.set_Co726186806682698383nteger Bool)|) (y |u_(-> tptp.set_Co726186806682698383nteger Bool)|)) (or (not (forall ((z tptp.set_Co726186806682698383nteger)) (= (ho_10417 x z) (ho_10417 y z)))) (= x y))))) (let ((_let_10188 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_set_int tptp.nat Bool)|) (e |u_(-> tptp.set_set_int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_set_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_9233 v ii) (ite (= i ii) e (ho_9233 u ii)))))))))) (let ((_let_10189 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_set_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_set_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_9233 x z) (ho_9233 y z)))) (= x y))))) (let ((_let_10190 (forall ((u |u_(-> tptp.set_set_int tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_set_nat)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_9237 v ii) (ite (= i ii) e (ho_9237 u ii)))))))))) (let ((_let_10191 (forall ((x |u_(-> tptp.set_set_int tptp.set_set_nat)|) (y |u_(-> tptp.set_set_int tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_9237 x z) (ho_9237 y z)))) (= x y))))) (let ((_let_10192 (forall ((u |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int tptp.set_set_nat)|) (e |u_(-> tptp.set_set_int tptp.set_set_nat)|) (i |u_(-> tptp.set_int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int tptp.set_set_nat)|)) (not (forall ((ii |u_(-> tptp.set_int tptp.set_nat)|)) (= (ho_9236 v ii) (ite (= i ii) e (ho_9236 u ii)))))))))) (let ((_let_10193 (forall ((x |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int tptp.set_set_nat)|) (y |u_(-> _u_(-> tptp.set_int tptp.set_nat)_ tptp.set_set_int tptp.set_set_nat)|)) (or (not (forall ((z |u_(-> tptp.set_int tptp.set_nat)|)) (= (ho_9236 x z) (ho_9236 y z)))) (= x y))))) (let ((_let_10194 (forall ((u |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|) (e |u_(-> tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|) (i |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|)) (not (forall ((ii |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (= (ho_13433 v ii) (ite (= i ii) e (ho_13433 u ii)))))))))) (let ((_let_10195 (forall ((x |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|) (y |u_(-> _u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)_ tptp.set_Pr4256460214963601898ar_rat tptp.set_Pr4256460214963601898ar_rat)|)) (or (not (forall ((z |u_(-> tptp.produc414006230660905482ar_rat tptp.produc414006230660905482ar_rat)|)) (= (ho_13433 x z) (ho_13433 y z)))) (= x y))))) (let ((_let_10196 (forall ((u |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (e tptp.set_Pr2101469702781467981_o_nat) (i tptp.set_Pr2101469702781467981_o_nat)) (not (forall ((v |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|)) (not (forall ((ii tptp.set_Pr2101469702781467981_o_nat)) (= (ho_15201 v ii) (ite (= i ii) e (ho_15201 u ii)))))))))) (let ((_let_10197 (forall ((x |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|) (y |u_(-> tptp.set_Pr2101469702781467981_o_nat tptp.set_Pr2101469702781467981_o_nat)|)) (or (not (forall ((z tptp.set_Pr2101469702781467981_o_nat)) (= (ho_15201 x z) (ho_15201 y z)))) (= x y))))) (let ((_let_10198 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8614 v ii) (ite (= i ii) e (ho_8614 u ii)))))))))) (let ((_let_10199 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.produc3843707927480180839at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_8614 x z) (ho_8614 y z)))) (= x y))))) (let ((_let_10200 (forall ((u |u_(-> tptp.set_set_int tptp.set_set_int)|) (e tptp.set_set_int) (i tptp.set_set_int)) (not (forall ((v |u_(-> tptp.set_set_int tptp.set_set_int)|)) (not (forall ((ii tptp.set_set_int)) (= (ho_9243 v ii) (ite (= i ii) e (ho_9243 u ii)))))))))) (let ((_let_10201 (forall ((x |u_(-> tptp.set_set_int tptp.set_set_int)|) (y |u_(-> tptp.set_set_int tptp.set_set_int)|)) (or (not (forall ((z tptp.set_set_int)) (= (ho_9243 x z) (ho_9243 y z)))) (= x y))))) (let ((_let_10202 (forall ((u |u_(-> tptp.set_set_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_9245 v ii) (ite (= i ii) e (ho_9245 u ii)))))))))) (let ((_let_10203 (forall ((x |u_(-> tptp.set_set_nat tptp.set_nat)|) (y |u_(-> tptp.set_set_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_9245 x z) (ho_9245 y z)))) (= x y))))) (let ((_let_10204 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|) (e |u_(-> tptp.nat tptp.int)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_6803 v ii) (ite (= i ii) e (ho_6803 u ii)))))))))) (let ((_let_10205 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_6803 x z) (ho_6803 y z)))) (= x y))))) (let ((_let_10206 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10510 v ii) (ite (= i ii) e (ho_10510 u ii)))))))))) (let ((_let_10207 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10510 x z) (ho_10510 y z)))) (= x y))))) (let ((_let_10208 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|) (e tptp.set_Pr8693737435421807431at_nat) (i |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8376 v ii) (ite (= i ii) e (ho_8376 u ii)))))))))) (let ((_let_10209 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_8376 x z) (ho_8376 y z)))) (= x y))))) (let ((_let_10210 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_9284 v ii) (ite (= i ii) e (ho_9284 u ii)))))))))) (let ((_let_10211 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_9284 x z) (ho_9284 y z)))) (= x y))))) (let ((_let_10212 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_15050 v ii) (ite (= i ii) e (ho_15050 u ii)))))))))) (let ((_let_10213 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)_ tptp.set_Pr5564308138774400199at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_15050 x z) (ho_15050 y z)))) (= x y))))) (let ((_let_10214 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9287 v ii) (ite (= i ii) e (ho_9287 u ii)))))))))) (let ((_let_10215 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9287 x z) (ho_9287 y z)))) (= x y))))) (let ((_let_10216 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_6483 v ii) (ite (= i ii) e (ho_6483 u ii)))))))))) (let ((_let_10217 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_6483 x z) (ho_6483 y z)))) (= x y))))) (let ((_let_10218 (forall ((u |u_(-> tptp.set_rat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_9295 v ii) (ite (= i ii) e (ho_9295 u ii)))))))))) (let ((_let_10219 (forall ((x |u_(-> tptp.set_rat tptp.set_set_nat)|) (y |u_(-> tptp.set_rat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_9295 x z) (ho_9295 y z)))) (= x y))))) (let ((_let_10220 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|) (e |u_(-> _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|) (i |u_(-> tptp.product_prod_int_int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_14048 v ii) (ite (= i ii) e (ho_14048 u ii)))))))))) (let ((_let_10221 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|) (y |u_(-> _u_(-> tptp.product_prod_int_int tptp.int)_ _u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)_ tptp.product_prod_int_int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int tptp.int)|)) (= (ho_14048 x z) (ho_14048 y z)))) (= x y))))) (let ((_let_10222 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6397 v ii) (ite (= i ii) e (ho_6397 u ii)))))))))) (let ((_let_10223 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6397 x z) (ho_6397 y z)))) (= x y))))) (let ((_let_10224 (forall ((u |u_(-> Bool tptp.product_unit Bool)|) (e |u_(-> tptp.product_unit Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_unit Bool)|)) (not (forall ((ii Bool)) (= (ho_9323 v ii) (ite (= i ii) e (ho_9323 u ii)))))))))) (let ((_let_10225 (forall ((x |u_(-> Bool tptp.product_unit Bool)|) (y |u_(-> Bool tptp.product_unit Bool)|)) (or (not (forall ((z Bool)) (= (ho_9323 x z) (ho_9323 y z)))) (= x y))))) (let ((_let_10226 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num tptp.int tptp.num)|) (e |u_(-> tptp.int tptp.num tptp.int tptp.num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_15583 v ii) (ite (= i ii) e (ho_15583 u ii)))))))))) (let ((_let_10227 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.int tptp.num tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_15583 x z) (ho_15583 y z)))) (= x y))))) (let ((_let_10228 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int Bool)|) (e |u_(-> tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_9424 v ii) (ite (= i ii) e (ho_9424 u ii)))))))))) (let ((_let_10229 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_9424 x z) (ho_9424 y z)))) (= x y))))) (let ((_let_10230 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_9493 v ii) (ite (= i ii) e (ho_9493 u ii)))))))))) (let ((_let_10231 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)_ tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_9493 x z) (ho_9493 y z)))) (= x y))))) (let ((_let_10232 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_int)|) (e tptp.set_int) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_int)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_13821 v ii) (ite (= i ii) e (ho_13821 u ii)))))))))) (let ((_let_10233 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_int)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_int)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_13821 x z) (ho_13821 y z)))) (= x y))))) (let ((_let_10234 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9495 v ii) (ite (= i ii) e (ho_9495 u ii)))))))))) (let ((_let_10235 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.set_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_9495 x z) (ho_9495 y z)))) (= x y))))) (let ((_let_10236 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num tptp.set_num)|) (e |u_(-> tptp.set_num tptp.set_num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num tptp.set_num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13339 v ii) (ite (= i ii) e (ho_13339 u ii)))))))))) (let ((_let_10237 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num tptp.set_num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ tptp.set_num tptp.set_num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13339 x z) (ho_13339 y z)))) (= x y))))) (let ((_let_10238 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_9502 v ii) (ite (= i ii) e (ho_9502 u ii)))))))))) (let ((_let_10239 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Product_unit tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_9502 x z) (ho_9502 y z)))) (= x y))))) (let ((_let_10240 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|) (e |u_(-> tptp.rat tptp.nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7169 v ii) (ite (= i ii) e (ho_7169 u ii)))))))))) (let ((_let_10241 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.rat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7169 x z) (ho_7169 y z)))) (= x y))))) (let ((_let_10242 (forall ((u |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9509 v ii) (ite (= i ii) e (ho_9509 u ii)))))))))) (let ((_let_10243 (forall ((x |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.set_o tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9509 x z) (ho_9509 y z)))) (= x y))))) (let ((_let_10244 (forall ((u |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9517 v ii) (ite (= i ii) e (ho_9517 u ii)))))))))) (let ((_let_10245 (forall ((x |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|) (y |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ tptp.set_nat Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9517 x z) (ho_9517 y z)))) (= x y))))) (let ((_let_10246 (forall ((u |u_(-> tptp.produc2963269191615333738nteger Bool)|) (e Bool) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger Bool)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_16016 v ii) (ite (= i ii) e (ho_16016 u ii)))))))))) (let ((_let_10247 (forall ((x |u_(-> tptp.produc2963269191615333738nteger Bool)|) (y |u_(-> tptp.produc2963269191615333738nteger Bool)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_16016 x z) (ho_16016 y z)))) (= x y))))) (let ((_let_10248 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (e |u_(-> _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9519 v ii) (ite (= i ii) e (ho_9519 u ii)))))))))) (let ((_let_10249 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit _u_(-> tptp.nat tptp.set_Product_unit)_ tptp.nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9519 x z) (ho_9519 y z)))) (= x y))))) (let ((_let_10250 (forall ((u |u_(-> tptp.product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (e |u_(-> _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9525 v ii) (ite (= i ii) e (ho_9525 u ii)))))))))) (let ((_let_10251 (forall ((x |u_(-> tptp.product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit _u_(-> Bool tptp.set_Product_unit)_ Bool tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9525 x z) (ho_9525 y z)))) (= x y))))) (let ((_let_10252 (forall ((u |u_(-> tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|) (e |u_(-> tptp.set_o tptp.product_unit tptp.set_o)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7504 v ii) (ite (= i ii) e (ho_7504 u ii)))))))))) (let ((_let_10253 (forall ((x |u_(-> tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|) (y |u_(-> tptp.product_unit tptp.set_o tptp.product_unit tptp.set_o)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7504 x z) (ho_7504 y z)))) (= x y))))) (let ((_let_10254 (forall ((u |u_(-> tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|) (e tptp.set_se7855581050983116737at_nat) (i tptp.set_set_nat)) (not (forall ((v |u_(-> tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii tptp.set_set_nat)) (= (ho_9545 v ii) (ite (= i ii) e (ho_9545 u ii)))))))))) (let ((_let_10255 (forall ((x |u_(-> tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z tptp.set_set_nat)) (= (ho_9545 x z) (ho_9545 y z)))) (= x y))))) (let ((_let_10256 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4706 v ii) (ite (= i ii) e (ho_4706 u ii)))))))))) (let ((_let_10257 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_4706 x z) (ho_4706 y z)))) (= x y))))) (let ((_let_10258 (forall ((u |u_(-> _u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|) (e |u_(-> tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|) (i |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|)) (not (forall ((ii |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_9544 v ii) (ite (= i ii) e (ho_9544 u ii)))))))))) (let ((_let_10259 (forall ((x |u_(-> _u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|) (y |u_(-> _u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_set_nat tptp.set_se7855581050983116737at_nat)|)) (or (not (forall ((z |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_9544 x z) (ho_9544 y z)))) (= x y))))) (let ((_let_10260 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10547 v ii) (ite (= i ii) e (ho_10547 u ii)))))))))) (let ((_let_10261 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool Bool)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10547 x z) (ho_10547 y z)))) (= x y))))) (let ((_let_10262 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|) (e |u_(-> tptp.rat tptp.product_unit)|) (i |u_(-> tptp.product_unit tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_7197 v ii) (ite (= i ii) e (ho_7197 u ii)))))))))) (let ((_let_10263 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.rat)|)) (= (ho_7197 x z) (ho_7197 y z)))) (= x y))))) (let ((_let_10264 (forall ((u |u_(-> tptp.product_unit _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (not (forall ((ii tptp.product_unit)) (= (ho_9549 v ii) (ite (= i ii) e (ho_9549 u ii)))))))))) (let ((_let_10265 (forall ((x |u_(-> tptp.product_unit _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|) (y |u_(-> tptp.product_unit _u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)_ tptp.product_prod_nat_nat tptp.set_Product_unit)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_9549 x z) (ho_9549 y z)))) (= x y))))) (let ((_let_10266 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10733 v ii) (ite (= i ii) e (ho_10733 u ii)))))))))) (let ((_let_10267 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10733 x z) (ho_10733 y z)))) (= x y))))) (let ((_let_10268 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (e |u_(-> tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_14838 v ii) (ite (= i ii) e (ho_14838 u ii)))))))))) (let ((_let_10269 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.product_prod_nat_int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_14838 x z) (ho_14838 y z)))) (= x y))))) (let ((_let_10270 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_10210 v ii) (ite (= i ii) e (ho_10210 u ii)))))))))) (let ((_let_10271 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_10210 x z) (ho_10210 y z)))) (= x y))))) (let ((_let_10272 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10213 v ii) (ite (= i ii) e (ho_10213 u ii)))))))))) (let ((_let_10273 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10213 x z) (ho_10213 y z)))) (= x y))))) (let ((_let_10274 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|) (e |u_(-> tptp.nat tptp.product_unit Bool)|) (i |u_(-> tptp.nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_13982 v ii) (ite (= i ii) e (ho_13982 u ii)))))))))) (let ((_let_10275 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.product_unit)_ tptp.nat tptp.product_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_unit)|)) (= (ho_13982 x z) (ho_13982 y z)))) (= x y))))) (let ((_let_10276 (forall ((u |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9559 v ii) (ite (= i ii) e (ho_9559 u ii)))))))))) (let ((_let_10277 (forall ((x |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|) (y |u_(-> Bool _u_(-> tptp.int tptp.set_o)_ tptp.set_int Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9559 x z) (ho_9559 y z)))) (= x y))))) (let ((_let_10278 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9602 v ii) (ite (= i ii) e (ho_9602 u ii)))))))))) (let ((_let_10279 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9602 x z) (ho_9602 y z)))) (= x y))))) (let ((_let_10280 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|) (e |u_(-> tptp.int tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_13899 v ii) (ite (= i ii) e (ho_13899 u ii)))))))))) (let ((_let_10281 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_13899 x z) (ho_13899 y z)))) (= x y))))) (let ((_let_10282 (forall ((u |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9606 v ii) (ite (= i ii) e (ho_9606 u ii)))))))))) (let ((_let_10283 (forall ((x |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> Bool tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9606 x z) (ho_9606 y z)))) (= x y))))) (let ((_let_10284 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_10518 v ii) (ite (= i ii) e (ho_10518 u ii)))))))))) (let ((_let_10285 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ tptp.set_rat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_10518 x z) (ho_10518 y z)))) (= x y))))) (let ((_let_10286 (forall ((u |u_(-> tptp.set_nat tptp.num tptp.set_nat)|) (e |u_(-> tptp.num tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.num tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_10023 v ii) (ite (= i ii) e (ho_10023 u ii)))))))))) (let ((_let_10287 (forall ((x |u_(-> tptp.set_nat tptp.num tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.num tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_10023 x z) (ho_10023 y z)))) (= x y))))) (let ((_let_10288 (forall ((u |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9610 v ii) (ite (= i ii) e (ho_9610 u ii)))))))))) (let ((_let_10289 (forall ((x |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.product_unit tptp.set_nat)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9610 x z) (ho_9610 y z)))) (= x y))))) (let ((_let_10290 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|) (e |u_(-> tptp.nat tptp.int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10303 v ii) (ite (= i ii) e (ho_10303 u ii)))))))))) (let ((_let_10291 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.nat tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10303 x z) (ho_10303 y z)))) (= x y))))) (let ((_let_10292 (forall ((u |u_(-> tptp.set_ch7978006088466058503at_nat Bool)|) (e Bool) (i tptp.set_ch7978006088466058503at_nat)) (not (forall ((v |u_(-> tptp.set_ch7978006088466058503at_nat Bool)|)) (not (forall ((ii tptp.set_ch7978006088466058503at_nat)) (= (ho_13597 v ii) (ite (= i ii) e (ho_13597 u ii)))))))))) (let ((_let_10293 (forall ((x |u_(-> tptp.set_ch7978006088466058503at_nat Bool)|) (y |u_(-> tptp.set_ch7978006088466058503at_nat Bool)|)) (or (not (forall ((z tptp.set_ch7978006088466058503at_nat)) (= (ho_13597 x z) (ho_13597 y z)))) (= x y))))) (let ((_let_10294 (forall ((u |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9614 v ii) (ite (= i ii) e (ho_9614 u ii)))))))))) (let ((_let_10295 (forall ((x |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|) (y |u_(-> Bool _u_(-> tptp.nat tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9614 x z) (ho_9614 y z)))) (= x y))))) (let ((_let_10296 (forall ((u |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_10445 v ii) (ite (= i ii) e (ho_10445 u ii)))))))))) (let ((_let_10297 (forall ((x |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.set_int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10445 x z) (ho_10445 y z)))) (= x y))))) (let ((_let_10298 (forall ((u |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.set_o)_ Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_9620 v ii) (ite (= i ii) e (ho_9620 u ii)))))))))) (let ((_let_10299 (forall ((x |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool Bool)|) (y |u_(-> Bool _u_(-> Bool tptp.set_o)_ Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_9620 x z) (ho_9620 y z)))) (= x y))))) (let ((_let_10300 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_o)|) (e tptp.set_o) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_9665 v ii) (ite (= i ii) e (ho_9665 u ii)))))))))) (let ((_let_10301 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_o)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_o)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_9665 x z) (ho_9665 y z)))) (= x y))))) (let ((_let_10302 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.rat)_ Bool Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_10966 v ii) (ite (= i ii) e (ho_10966 u ii)))))))))) (let ((_let_10303 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_10966 x z) (ho_10966 y z)))) (= x y))))) (let ((_let_10304 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_5574 v ii) (ite (= i ii) e (ho_5574 u ii)))))))))) (let ((_let_10305 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.int tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_5574 x z) (ho_5574 y z)))) (= x y))))) (let ((_let_10306 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9719 v ii) (ite (= i ii) e (ho_9719 u ii)))))))))) (let ((_let_10307 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9719 x z) (ho_9719 y z)))) (= x y))))) (let ((_let_10308 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_9718 v ii) (ite (= i ii) e (ho_9718 u ii)))))))))) (let ((_let_10309 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_9718 x z) (ho_9718 y z)))) (= x y))))) (let ((_let_10310 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_11134 v ii) (ite (= i ii) e (ho_11134 u ii)))))))))) (let ((_let_10311 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_11134 x z) (ho_11134 y z)))) (= x y))))) (let ((_let_10312 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_9728 v ii) (ite (= i ii) e (ho_9728 u ii)))))))))) (let ((_let_10313 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_9728 x z) (ho_9728 y z)))) (= x y))))) (let ((_let_10314 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9727 v ii) (ite (= i ii) e (ho_9727 u ii)))))))))) (let ((_let_10315 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_9727 x z) (ho_9727 y z)))) (= x y))))) (let ((_let_10316 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9733 v ii) (ite (= i ii) e (ho_9733 u ii)))))))))) (let ((_let_10317 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_9733 x z) (ho_9733 y z)))) (= x y))))) (let ((_let_10318 (forall ((u |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_13879 v ii) (ite (= i ii) e (ho_13879 u ii)))))))))) (let ((_let_10319 (forall ((x |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> Bool tptp.set_Pr1261947904930325089at_nat)_ _u_(-> tptp.product_unit Bool)_ tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|)) (= (ho_13879 x z) (ho_13879 y z)))) (= x y))))) (let ((_let_10320 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9747 v ii) (ite (= i ii) e (ho_9747 u ii)))))))))) (let ((_let_10321 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9747 x z) (ho_9747 y z)))) (= x y))))) (let ((_let_10322 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9746 v ii) (ite (= i ii) e (ho_9746 u ii)))))))))) (let ((_let_10323 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9746 x z) (ho_9746 y z)))) (= x y))))) (let ((_let_10324 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8743 v ii) (ite (= i ii) e (ho_8743 u ii)))))))))) (let ((_let_10325 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ _u_(-> tptp.int tptp.set_Product_unit)_ tptp.set_int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8743 x z) (ho_8743 y z)))) (= x y))))) (let ((_let_10326 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e Bool) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 v ii) (ite (= i ii) e (ho_9757 u ii)))))))))) (let ((_let_10327 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 x z) (ho_9757 y z)))) (= x y))))) (let ((_let_10328 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_9756 v ii) (ite (= i ii) e (ho_9756 u ii)))))))))) (let ((_let_10329 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_9756 x z) (ho_9756 y z)))) (= x y))))) (let ((_let_10330 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.product_unit tptp.set_nat Bool tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4662 v ii) (ite (= i ii) e (ho_4662 u ii)))))))))) (let ((_let_10331 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_4662 x z) (ho_4662 y z)))) (= x y))))) (let ((_let_10332 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_9762 v ii) (ite (= i ii) e (ho_9762 u ii)))))))))) (let ((_let_10333 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_9762 x z) (ho_9762 y z)))) (= x y))))) (let ((_let_10334 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_rat tptp.set_nat)|) (e |u_(-> tptp.set_rat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_rat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7423 v ii) (ite (= i ii) e (ho_7423 u ii)))))))))) (let ((_let_10335 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_rat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_rat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7423 x z) (ho_7423 y z)))) (= x y))))) (let ((_let_10336 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10001 v ii) (ite (= i ii) e (ho_10001 u ii)))))))))) (let ((_let_10337 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10001 x z) (ho_10001 y z)))) (= x y))))) (let ((_let_10338 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (e |u_(-> tptp.product_unit tptp.nat Bool)|) (i |u_(-> tptp.product_unit tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5012 v ii) (ite (= i ii) e (ho_5012 u ii)))))))))) (let ((_let_10339 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_nat)_ tptp.product_unit tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_nat)|)) (= (ho_5012 x z) (ho_5012 y z)))) (= x y))))) (let ((_let_10340 (forall ((u |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> tptp.num tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9760 v ii) (ite (= i ii) e (ho_9760 u ii)))))))))) (let ((_let_10341 (forall ((x |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.num tptp.num Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num Bool)|)) (= (ho_9760 x z) (ho_9760 y z)))) (= x y))))) (let ((_let_10342 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_6658 v ii) (ite (= i ii) e (ho_6658 u ii)))))))))) (let ((_let_10343 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_6658 x z) (ho_6658 y z)))) (= x y))))) (let ((_let_10344 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_9765 v ii) (ite (= i ii) e (ho_9765 u ii)))))))))) (let ((_let_10345 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_9765 x z) (ho_9765 y z)))) (= x y))))) (let ((_let_10346 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_9764 v ii) (ite (= i ii) e (ho_9764 u ii)))))))))) (let ((_let_10347 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.num tptp.num Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_9764 x z) (ho_9764 y z)))) (= x y))))) (let ((_let_10348 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9769 v ii) (ite (= i ii) e (ho_9769 u ii)))))))))) (let ((_let_10349 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9769 x z) (ho_9769 y z)))) (= x y))))) (let ((_let_10350 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|) (e |u_(-> tptp.nat tptp.product_prod_rat_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_7409 v ii) (ite (= i ii) e (ho_7409 u ii)))))))))) (let ((_let_10351 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_7409 x z) (ho_7409 y z)))) (= x y))))) (let ((_let_10352 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|) (e |u_(-> tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.set_rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_8856 v ii) (ite (= i ii) e (ho_8856 u ii)))))))))) (let ((_let_10353 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_rat)_ tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_rat)|)) (= (ho_8856 x z) (ho_8856 y z)))) (= x y))))) (let ((_let_10354 (forall ((u |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|) (i |u_(-> tptp.num tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|)) (not (forall ((ii |u_(-> tptp.num tptp.num)|)) (= (ho_13290 v ii) (ite (= i ii) e (ho_13290 u ii)))))))))) (let ((_let_10355 (forall ((x |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|) (y |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.num tptp.num)_ tptp.num tptp.num)|)) (or (not (forall ((z |u_(-> tptp.num tptp.num)|)) (= (ho_13290 x z) (ho_13290 y z)))) (= x y))))) (let ((_let_10356 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.rat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_7433 v ii) (ite (= i ii) e (ho_7433 u ii)))))))))) (let ((_let_10357 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.rat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_7433 x z) (ho_7433 y z)))) (= x y))))) (let ((_let_10358 (forall ((u |u_(-> tptp.set_rat tptp.set_o)|) (e tptp.set_o) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat tptp.set_o)|)) (not (forall ((ii tptp.set_rat)) (= (ho_13384 v ii) (ite (= i ii) e (ho_13384 u ii)))))))))) (let ((_let_10359 (forall ((x |u_(-> tptp.set_rat tptp.set_o)|) (y |u_(-> tptp.set_rat tptp.set_o)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_13384 x z) (ho_13384 y z)))) (= x y))))) (let ((_let_10360 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_9792 v ii) (ite (= i ii) e (ho_9792 u ii)))))))))) (let ((_let_10361 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer Bool)|)) (= (ho_9792 x z) (ho_9792 y z)))) (= x y))))) (let ((_let_10362 (forall ((u |u_(-> tptp.set_nat tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_7747 v ii) (ite (= i ii) e (ho_7747 u ii)))))))))) (let ((_let_10363 (forall ((x |u_(-> tptp.set_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_7747 x z) (ho_7747 y z)))) (= x y))))) (let ((_let_10364 (forall ((u |u_(-> tptp.ref_a tptp.set_ref_a Bool)|) (e |u_(-> tptp.set_ref_a Bool)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.set_ref_a Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_9853 v ii) (ite (= i ii) e (ho_9853 u ii)))))))))) (let ((_let_10365 (forall ((x |u_(-> tptp.ref_a tptp.set_ref_a Bool)|) (y |u_(-> tptp.ref_a tptp.set_ref_a Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_9853 x z) (ho_9853 y z)))) (= x y))))) (let ((_let_10366 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_9858 v ii) (ite (= i ii) e (ho_9858 u ii)))))))))) (let ((_let_10367 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_nat)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_9858 x z) (ho_9858 y z)))) (= x y))))) (let ((_let_10368 (forall ((u |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|) (e tptp.code_integer) (i tptp.produc2963269191615333738nteger)) (not (forall ((v |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|)) (not (forall ((ii tptp.produc2963269191615333738nteger)) (= (ho_12673 v ii) (ite (= i ii) e (ho_12673 u ii)))))))))) (let ((_let_10369 (forall ((x |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|) (y |u_(-> tptp.produc2963269191615333738nteger tptp.code_integer)|)) (or (not (forall ((z tptp.produc2963269191615333738nteger)) (= (ho_12673 x z) (ho_12673 y z)))) (= x y))))) (let ((_let_10370 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int tptp.set_o)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_o)|)) (= (ho_9868 v ii) (ite (= i ii) e (ho_9868 u ii)))))))))) (let ((_let_10371 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.set_o)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_o)|)) (= (ho_9868 x z) (ho_9868 y z)))) (= x y))))) (let ((_let_10372 (forall ((u |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_se6425085446898223655at_nat)) (not (forall ((v |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_se6425085446898223655at_nat)) (= (ho_15364 v ii) (ite (= i ii) e (ho_15364 u ii)))))))))) (let ((_let_10373 (forall ((x |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_se6425085446898223655at_nat tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_se6425085446898223655at_nat)) (= (ho_15364 x z) (ho_15364 y z)))) (= x y))))) (let ((_let_10374 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_8681 v ii) (ite (= i ii) e (ho_8681 u ii)))))))))) (let ((_let_10375 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_8681 x z) (ho_8681 y z)))) (= x y))))) (let ((_let_10376 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11381 v ii) (ite (= i ii) e (ho_11381 u ii)))))))))) (let ((_let_10377 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (= (ho_11381 x z) (ho_11381 y z)))) (= x y))))) (let ((_let_10378 (forall ((u |u_(-> tptp.product_unit Bool)|) (e Bool) (i tptp.product_unit)) (not (forall ((v |u_(-> tptp.product_unit Bool)|)) (not (forall ((ii tptp.product_unit)) (= (ho_7262 v ii) (ite (= i ii) e (ho_7262 u ii)))))))))) (let ((_let_10379 (forall ((x |u_(-> tptp.product_unit Bool)|) (y |u_(-> tptp.product_unit Bool)|)) (or (not (forall ((z tptp.product_unit)) (= (ho_7262 x z) (ho_7262 y z)))) (= x y))))) (let ((_let_10380 (forall ((u |u_(-> _u_(-> tptp.produc1709102135585200056nt_nat Bool)_ tptp.set_Pr2543308735921124078nt_nat)|) (e tptp.set_Pr2543308735921124078nt_nat) (i |u_(-> tptp.produc1709102135585200056nt_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1709102135585200056nt_nat Bool)_ tptp.set_Pr2543308735921124078nt_nat)|)) (not (forall ((ii |u_(-> tptp.produc1709102135585200056nt_nat Bool)|)) (= (ho_14625 v ii) (ite (= i ii) e (ho_14625 u ii)))))))))) (let ((_let_10381 (forall ((x |u_(-> _u_(-> tptp.produc1709102135585200056nt_nat Bool)_ tptp.set_Pr2543308735921124078nt_nat)|) (y |u_(-> _u_(-> tptp.produc1709102135585200056nt_nat Bool)_ tptp.set_Pr2543308735921124078nt_nat)|)) (or (not (forall ((z |u_(-> tptp.produc1709102135585200056nt_nat Bool)|)) (= (ho_14625 x z) (ho_14625 y z)))) (= x y))))) (let ((_let_10382 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10063 v ii) (ite (= i ii) e (ho_10063 u ii)))))))))) (let ((_let_10383 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int Bool)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10063 x z) (ho_10063 y z)))) (= x y))))) (let ((_let_10384 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.nat)|) (e |u_(-> _u_(-> Bool Bool)_ Bool tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10546 v ii) (ite (= i ii) e (ho_10546 u ii)))))))))) (let ((_let_10385 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10546 x z) (ho_10546 y z)))) (= x y))))) (let ((_let_10386 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int Bool)_ tptp.int Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_11176 v ii) (ite (= i ii) e (ho_11176 u ii)))))))))) (let ((_let_10387 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_11176 x z) (ho_11176 y z)))) (= x y))))) (let ((_let_10388 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_9874 v ii) (ite (= i ii) e (ho_9874 u ii)))))))))) (let ((_let_10389 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.int tptp.set_Product_unit)_ tptp.int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_9874 x z) (ho_9874 y z)))) (= x y))))) (let ((_let_10390 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer tptp.code_integer)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14797 v ii) (ite (= i ii) e (ho_14797 u ii)))))))))) (let ((_let_10391 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_14797 x z) (ho_14797 y z)))) (= x y))))) (let ((_let_10392 (forall ((u |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|) (e |u_(-> Bool tptp.nat Bool)|) (i |u_(-> Bool tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.set_nat)|)) (= (ho_5003 v ii) (ite (= i ii) e (ho_5003 u ii)))))))))) (let ((_let_10393 (forall ((x |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.set_nat)_ Bool tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.set_nat)|)) (= (ho_5003 x z) (ho_5003 y z)))) (= x y))))) (let ((_let_10394 (forall ((u |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_13144 v ii) (ite (= i ii) e (ho_13144 u ii)))))))))) (let ((_let_10395 (forall ((x |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (= (ho_13144 x z) (ho_13144 y z)))) (= x y))))) (let ((_let_10396 (forall ((u |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|) (e tptp.set_Pr4329608150637261639at_nat) (i tptp.set_Pr6200539531224447659at_num)) (not (forall ((v |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr6200539531224447659at_num)) (= (ho_12633 v ii) (ite (= i ii) e (ho_12633 u ii)))))))))) (let ((_let_10397 (forall ((x |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr6200539531224447659at_num tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr6200539531224447659at_num)) (= (ho_12633 x z) (ho_12633 y z)))) (= x y))))) (let ((_let_10398 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_12372 v ii) (ite (= i ii) e (ho_12372 u ii)))))))))) (let ((_let_10399 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ tptp.product_prod_nat_nat tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_12372 x z) (ho_12372 y z)))) (= x y))))) (let ((_let_10400 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12183 v ii) (ite (= i ii) e (ho_12183 u ii)))))))))) (let ((_let_10401 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc859450856879609959at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_12183 x z) (ho_12183 y z)))) (= x y))))) (let ((_let_10402 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.int tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.int tptp.set_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_9984 v ii) (ite (= i ii) e (ho_9984 u ii)))))))))) (let ((_let_10403 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_9984 x z) (ho_9984 y z)))) (= x y))))) (let ((_let_10404 (forall ((u |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|) (e |u_(-> _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_13908 v ii) (ite (= i ii) e (ho_13908 u ii)))))))))) (let ((_let_10405 (forall ((x |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|) (y |u_(-> tptp.set_o _u_(-> Bool tptp.char)_ Bool tptp.char Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_13908 x z) (ho_13908 y z)))) (= x y))))) (let ((_let_10406 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.set_int)|) (e |u_(-> tptp.set_int tptp.nat tptp.set_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_9989 v ii) (ite (= i ii) e (ho_9989 u ii)))))))))) (let ((_let_10407 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.set_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_int tptp.nat tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_9989 x z) (ho_9989 y z)))) (= x y))))) (let ((_let_10408 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10770 v ii) (ite (= i ii) e (ho_10770 u ii)))))))))) (let ((_let_10409 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10770 x z) (ho_10770 y z)))) (= x y))))) (let ((_let_10410 (forall ((u |u_(-> tptp.set_rat _u_(-> tptp.rat Bool)_ Bool tptp.rat)|) (e |u_(-> _u_(-> tptp.rat Bool)_ Bool tptp.rat)|) (i tptp.set_rat)) (not (forall ((v |u_(-> tptp.set_rat _u_(-> tptp.rat Bool)_ Bool tptp.rat)|)) (not (forall ((ii tptp.set_rat)) (= (ho_15736 v ii) (ite (= i ii) e (ho_15736 u ii)))))))))) (let ((_let_10411 (forall ((x |u_(-> tptp.set_rat _u_(-> tptp.rat Bool)_ Bool tptp.rat)|) (y |u_(-> tptp.set_rat _u_(-> tptp.rat Bool)_ Bool tptp.rat)|)) (or (not (forall ((z tptp.set_rat)) (= (ho_15736 x z) (ho_15736 y z)))) (= x y))))) (let ((_let_10412 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat tptp.set_rat)|) (e |u_(-> tptp.set_nat tptp.nat tptp.set_rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_9997 v ii) (ite (= i ii) e (ho_9997 u ii)))))))))) (let ((_let_10413 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat tptp.set_rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.set_nat tptp.nat tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_9997 x z) (ho_9997 y z)))) (= x y))))) (let ((_let_10414 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|)) (= (ho_15626 v ii) (ite (= i ii) e (ho_15626 u ii)))))))))) (let ((_let_10415 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.ref_a)_ tptp.set_ref_a tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.ref_a)|)) (= (ho_15626 x z) (ho_15626 y z)))) (= x y))))) (let ((_let_10416 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|) (e |u_(-> tptp.num tptp.nat)|) (i |u_(-> tptp.num tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat)|)) (= (ho_13262 v ii) (ite (= i ii) e (ho_13262 u ii)))))))))) (let ((_let_10417 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|) (y |u_(-> _u_(-> tptp.num tptp.nat)_ tptp.num tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat)|)) (= (ho_13262 x z) (ho_13262 y z)))) (= x y))))) (let ((_let_10418 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.set_int)) (= (ho_10002 v ii) (ite (= i ii) e (ho_10002 u ii)))))))))) (let ((_let_10419 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ tptp.set_nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10002 x z) (ho_10002 y z)))) (= x y))))) (let ((_let_10420 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.int tptp.set_nat)|) (e |u_(-> tptp.set_int tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10005 v ii) (ite (= i ii) e (ho_10005 u ii)))))))))) (let ((_let_10421 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10005 x z) (ho_10005 y z)))) (= x y))))) (let ((_let_10422 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (e |u_(-> tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12181 v ii) (ite (= i ii) e (ho_12181 u ii)))))))))) (let ((_let_10423 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.produc4196048018000912732at_int tptp.produc4196048018000912732at_int)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_12181 x z) (ho_12181 y z)))) (= x y))))) (let ((_let_10424 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|) (e tptp.set_int) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_5339 v ii) (ite (= i ii) e (ho_5339 u ii)))))))))) (let ((_let_10425 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|) (y |u_(-> _u_(-> tptp.int Bool)_ tptp.set_int)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_5339 x z) (ho_5339 y z)))) (= x y))))) (let ((_let_10426 (forall ((u |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|) (e tptp.set_se5479201105039950375at_nat) (i tptp.set_Pr8693737435421807431at_nat)) (not (forall ((v |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_Pr8693737435421807431at_nat)) (= (ho_5134 v ii) (ite (= i ii) e (ho_5134 u ii)))))))))) (let ((_let_10427 (forall ((x |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_Pr8693737435421807431at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_Pr8693737435421807431at_nat)) (= (ho_5134 x z) (ho_5134 y z)))) (= x y))))) (let ((_let_10428 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7129 v ii) (ite (= i ii) e (ho_7129 u ii)))))))))) (let ((_let_10429 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7129 x z) (ho_7129 y z)))) (= x y))))) (let ((_let_10430 (forall ((u |u_(-> tptp.product_prod_int_int tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_10074 v ii) (ite (= i ii) e (ho_10074 u ii)))))))))) (let ((_let_10431 (forall ((x |u_(-> tptp.product_prod_int_int tptp.nat Bool)|) (y |u_(-> tptp.product_prod_int_int tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_10074 x z) (ho_10074 y z)))) (= x y))))) (let ((_let_10432 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_nat)|) (e tptp.set_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_10080 v ii) (ite (= i ii) e (ho_10080 u ii)))))))))) (let ((_let_10433 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.set_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_10080 x z) (ho_10080 y z)))) (= x y))))) (let ((_let_10434 (forall ((u |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|) (i |u_(-> tptp.num tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14698 v ii) (ite (= i ii) e (ho_14698 u ii)))))))))) (let ((_let_10435 (forall ((x |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num tptp.nat Bool)_ _u_(-> tptp.nat tptp.num Bool)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num tptp.nat Bool)|)) (= (ho_14698 x z) (ho_14698 y z)))) (= x y))))) (let ((_let_10436 (forall ((u |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_10087 v ii) (ite (= i ii) e (ho_10087 u ii)))))))))) (let ((_let_10437 (forall ((x |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_10087 x z) (ho_10087 y z)))) (= x y))))) (let ((_let_10438 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat)|) (e |u_(-> Bool tptp.nat)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_15740 v ii) (ite (= i ii) e (ho_15740 u ii)))))))))) (let ((_let_10439 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.rat)_ Bool tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_15740 x z) (ho_15740 y z)))) (= x y))))) (let ((_let_10440 (forall ((u |u_(-> tptp.nat tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.product_prod_int_int Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_10088 v ii) (ite (= i ii) e (ho_10088 u ii)))))))))) (let ((_let_10441 (forall ((x |u_(-> tptp.nat tptp.product_prod_int_int Bool)|) (y |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_10088 x z) (ho_10088 y z)))) (= x y))))) (let ((_let_10442 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13083 v ii) (ite (= i ii) e (ho_13083 u ii)))))))))) (let ((_let_10443 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.nat tptp.num)_ _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)_ _u_(-> _u_(-> tptp.code_integer tptp.nat)_ tptp.code_integer tptp.num)_ Bool)|)) (= (ho_13083 x z) (ho_13083 y z)))) (= x y))))) (let ((_let_10444 (forall ((u |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|) (e tptp.set_Pr958786334691620121nt_int) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii tptp.nat)) (= (ho_10094 v ii) (ite (= i ii) e (ho_10094 u ii)))))))))) (let ((_let_10445 (forall ((x |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z tptp.nat)) (= (ho_10094 x z) (ho_10094 y z)))) (= x y))))) (let ((_let_10446 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|) (e |u_(-> tptp.nat tptp.set_Pr958786334691620121nt_int)|) (i |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (= (ho_10093 v ii) (ite (= i ii) e (ho_10093 u ii)))))))))) (let ((_let_10447 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int Bool)_ tptp.nat tptp.set_Pr958786334691620121nt_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_int_int Bool)|)) (= (ho_10093 x z) (ho_10093 y z)))) (= x y))))) (let ((_let_10448 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12905 v ii) (ite (= i ii) e (ho_12905 u ii)))))))))) (let ((_let_10449 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (= (ho_12905 x z) (ho_12905 y z)))) (= x y))))) (let ((_let_10450 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.num)_ Bool)|) (i |u_(-> tptp.code_integer tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.num)|)) (= (ho_16015 v ii) (ite (= i ii) e (ho_16015 u ii)))))))))) (let ((_let_10451 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.num)_ _u_(-> tptp.code_integer tptp.num)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.num)|)) (= (ho_16015 x z) (ho_16015 y z)))) (= x y))))) (let ((_let_10452 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10108 v ii) (ite (= i ii) e (ho_10108 u ii)))))))))) (let ((_let_10453 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat Bool)_ tptp.product_prod_nat_nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_10108 x z) (ho_10108 y z)))) (= x y))))) (let ((_let_10454 (forall ((u |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (i |u_(-> tptp.num Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool Bool)|)) (= (ho_13161 v ii) (ite (= i ii) e (ho_13161 u ii)))))))))) (let ((_let_10455 (forall ((x |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.num Bool Bool)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool Bool)|)) (= (ho_13161 x z) (ho_13161 y z)))) (= x y))))) (let ((_let_10456 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10841 v ii) (ite (= i ii) e (ho_10841 u ii)))))))))) (let ((_let_10457 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10841 x z) (ho_10841 y z)))) (= x y))))) (let ((_let_10458 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_13454 v ii) (ite (= i ii) e (ho_13454 u ii)))))))))) (let ((_let_10459 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ _u_(-> tptp.nat tptp.rat)_ tptp.produc3922234789054302210ar_nat tptp.produc414006230660905482ar_rat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_13454 x z) (ho_13454 y z)))) (= x y))))) (let ((_let_10460 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10154 v ii) (ite (= i ii) e (ho_10154 u ii)))))))))) (let ((_let_10461 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10154 x z) (ho_10154 y z)))) (= x y))))) (let ((_let_10462 (forall ((u |u_(-> tptp.a tptp.heap_H6156071679106078628t_unit)|) (e tptp.heap_H6156071679106078628t_unit) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.heap_H6156071679106078628t_unit)|)) (not (forall ((ii tptp.a)) (= (ho_12119 v ii) (ite (= i ii) e (ho_12119 u ii)))))))))) (let ((_let_10463 (forall ((x |u_(-> tptp.a tptp.heap_H6156071679106078628t_unit)|) (y |u_(-> tptp.a tptp.heap_H6156071679106078628t_unit)|)) (or (not (forall ((z tptp.a)) (= (ho_12119 x z) (ho_12119 y z)))) (= x y))))) (let ((_let_10464 (forall ((u |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.product_prod_int_int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10158 v ii) (ite (= i ii) e (ho_10158 u ii)))))))))) (let ((_let_10465 (forall ((x |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_int_int Bool)_ _u_(-> tptp.product_prod_int_int Bool)_ tptp.product_prod_int_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_int_int Bool)|)) (= (ho_10158 x z) (ho_10158 y z)))) (= x y))))) (let ((_let_10466 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (e |u_(-> tptp.product_prod_int_int tptp.nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10164 v ii) (ite (= i ii) e (ho_10164 u ii)))))))))) (let ((_let_10467 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_int_int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10164 x z) (ho_10164 y z)))) (= x y))))) (let ((_let_10468 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|) (e |u_(-> _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_14874 v ii) (ite (= i ii) e (ho_14874 u ii)))))))))) (let ((_let_10469 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.set_o)_ tptp.set_Pr5464989305201766866unit_o)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_14874 x z) (ho_14874 y z)))) (= x y))))) (let ((_let_10470 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|) (e |u_(-> tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10204 v ii) (ite (= i ii) e (ho_10204 u ii)))))))))) (let ((_let_10471 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.set_Pr958786334691620121nt_int tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10204 x z) (ho_10204 y z)))) (= x y))))) (let ((_let_10472 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool)|) (e Bool) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_11583 v ii) (ite (= i ii) e (ho_11583 u ii)))))))))) (let ((_let_10473 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_11583 x z) (ho_11583 y z)))) (= x y))))) (let ((_let_10474 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ch7978006088466058503at_nat)|) (e tptp.set_ch7978006088466058503at_nat) (i |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ch7978006088466058503at_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13594 v ii) (ite (= i ii) e (ho_13594 u ii)))))))))) (let ((_let_10475 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ch7978006088466058503at_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)_ tptp.set_ch7978006088466058503at_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_13594 x z) (ho_13594 y z)))) (= x y))))) (let ((_let_10476 (forall ((u |u_(-> tptp.rat tptp.product_prod_rat_rat)|) (e tptp.product_prod_rat_rat) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.product_prod_rat_rat)|)) (not (forall ((ii tptp.rat)) (= (ho_7441 v ii) (ite (= i ii) e (ho_7441 u ii)))))))))) (let ((_let_10477 (forall ((x |u_(-> tptp.rat tptp.product_prod_rat_rat)|) (y |u_(-> tptp.rat tptp.product_prod_rat_rat)|)) (or (not (forall ((z tptp.rat)) (= (ho_7441 x z) (ho_7441 y z)))) (= x y))))) (let ((_let_10478 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_10223 v ii) (ite (= i ii) e (ho_10223 u ii)))))))))) (let ((_let_10479 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int Bool)|)) (= (ho_10223 x z) (ho_10223 y z)))) (= x y))))) (let ((_let_10480 (forall ((u |u_(-> tptp.heap_H6156071679106078628t_unit tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (i tptp.heap_H6156071679106078628t_unit)) (not (forall ((v |u_(-> tptp.heap_H6156071679106078628t_unit tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|)) (not (forall ((ii tptp.heap_H6156071679106078628t_unit)) (= (ho_12121 v ii) (ite (= i ii) e (ho_12121 u ii)))))))))) (let ((_let_10481 (forall ((x |u_(-> tptp.heap_H6156071679106078628t_unit tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|) (y |u_(-> tptp.heap_H6156071679106078628t_unit tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.product_unit Bool)|)) (or (not (forall ((z tptp.heap_H6156071679106078628t_unit)) (= (ho_12121 x z) (ho_12121 y z)))) (= x y))))) (let ((_let_10482 (forall ((u |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (e |u_(-> tptp.nat tptp.num Bool)|) (i |u_(-> tptp.nat tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14696 v ii) (ite (= i ii) e (ho_14696 u ii)))))))))) (let ((_let_10483 (forall ((x |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.num Bool)_ tptp.nat tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.num Bool)|)) (= (ho_14696 x z) (ho_14696 y z)))) (= x y))))) (let ((_let_10484 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit Bool)|) (e Bool) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_10249 v ii) (ite (= i ii) e (ho_10249 u ii)))))))))) (let ((_let_10485 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit Bool)|) (y |u_(-> tptp.produc7812382424243267045t_unit Bool)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_10249 x z) (ho_10249 y z)))) (= x y))))) (let ((_let_10486 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10229 v ii) (ite (= i ii) e (ho_10229 u ii)))))))))) (let ((_let_10487 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10229 x z) (ho_10229 y z)))) (= x y))))) (let ((_let_10488 (forall ((u |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (e tptp.ref_a) (i tptp.produc7812382424243267045t_unit)) (not (forall ((v |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (not (forall ((ii tptp.produc7812382424243267045t_unit)) (= (ho_10244 v ii) (ite (= i ii) e (ho_10244 u ii)))))))))) (let ((_let_10489 (forall ((x |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|) (y |u_(-> tptp.produc7812382424243267045t_unit tptp.ref_a)|)) (or (not (forall ((z tptp.produc7812382424243267045t_unit)) (= (ho_10244 x z) (ho_10244 y z)))) (= x y))))) (let ((_let_10490 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|) (e |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_5470 v ii) (ite (= i ii) e (ho_5470 u ii)))))))))) (let ((_let_10491 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ tptp.product_prod_nat_nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_5470 x z) (ho_5470 y z)))) (= x y))))) (let ((_let_10492 (forall ((u |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_nat)|) (e |u_(-> tptp.set_nat tptp.nat tptp.set_nat)|) (i |u_(-> tptp.nat tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5657 v ii) (ite (= i ii) e (ho_5657 u ii)))))))))) (let ((_let_10493 (forall ((x |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.set_nat tptp.nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.set_nat)|)) (= (ho_5657 x z) (ho_5657 y z)))) (= x y))))) (let ((_let_10494 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool)|) (e |u_(-> tptp.set_se7855581050983116737at_nat Bool)|) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_15893 v ii) (ite (= i ii) e (ho_15893 u ii)))))))))) (let ((_let_10495 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_se7855581050983116737at_nat Bool)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_15893 x z) (ho_15893 y z)))) (= x y))))) (let ((_let_10496 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit Bool)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((ii tptp.ref_a)) (= (ho_10245 v ii) (ite (= i ii) e (ho_10245 u ii)))))))))) (let ((_let_10497 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_10245 x z) (ho_10245 y z)))) (= x y))))) (let ((_let_10498 (forall ((u |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit Bool)|) (e |u_(-> tptp.produc7812382424243267045t_unit Bool)|) (i |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit Bool)|)) (not (forall ((ii |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_10248 v ii) (ite (= i ii) e (ho_10248 u ii)))))))))) (let ((_let_10499 (forall ((x |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit Bool)|) (y |u_(-> _u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)_ tptp.produc7812382424243267045t_unit Bool)|)) (or (not (forall ((z |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_10248 x z) (ho_10248 y z)))) (= x y))))) (let ((_let_10500 (forall ((u |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (e |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (i tptp.set_Pr1133966238863718811t_unit)) (not (forall ((v |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.set_Pr1133966238863718811t_unit)) (= (ho_10251 v ii) (ite (= i ii) e (ho_10251 u ii)))))))))) (let ((_let_10501 (forall ((x |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.set_Pr1133966238863718811t_unit tptp.ref_a tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.set_Pr1133966238863718811t_unit)) (= (ho_10251 x z) (ho_10251 y z)))) (= x y))))) (let ((_let_10502 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|) (e |u_(-> tptp.int tptp.int tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10261 v ii) (ite (= i ii) e (ho_10261 u ii)))))))))) (let ((_let_10503 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10261 x z) (ho_10261 y z)))) (= x y))))) (let ((_let_10504 (forall ((u |u_(-> _u_(-> tptp.int tptp.num Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.num Bool)|)) (= (ho_14755 v ii) (ite (= i ii) e (ho_14755 u ii)))))))))) (let ((_let_10505 (forall ((x |u_(-> _u_(-> tptp.int tptp.num Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.num Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num Bool)|)) (= (ho_14755 x z) (ho_14755 y z)))) (= x y))))) (let ((_let_10506 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|) (e |u_(-> tptp.int tptp.nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10266 v ii) (ite (= i ii) e (ho_10266 u ii)))))))))) (let ((_let_10507 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10266 x z) (ho_10266 y z)))) (= x y))))) (let ((_let_10508 (forall ((u |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (e |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (i |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_15576 v ii) (ite (= i ii) e (ho_15576 u ii)))))))))) (let ((_let_10509 (forall ((x |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|) (y |u_(-> _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ _u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)_ tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)|)) (= (ho_15576 x z) (ho_15576 y z)))) (= x y))))) (let ((_let_10510 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10265 v ii) (ite (= i ii) e (ho_10265 u ii)))))))))) (let ((_let_10511 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.product_prod_int_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10265 x z) (ho_10265 y z)))) (= x y))))) (let ((_let_10512 (forall ((u |u_(-> Bool tptp.rat tptp.rat tptp.rat)|) (e |u_(-> tptp.rat tptp.rat tptp.rat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.rat tptp.rat tptp.rat)|)) (not (forall ((ii Bool)) (= (ho_8430 v ii) (ite (= i ii) e (ho_8430 u ii)))))))))) (let ((_let_10513 (forall ((x |u_(-> Bool tptp.rat tptp.rat tptp.rat)|) (y |u_(-> Bool tptp.rat tptp.rat tptp.rat)|)) (or (not (forall ((z Bool)) (= (ho_8430 x z) (ho_8430 y z)))) (= x y))))) (let ((_let_10514 (forall ((u |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|) (e |u_(-> tptp.int tptp.product_prod_nat_int)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii tptp.int)) (= (ho_10279 v ii) (ite (= i ii) e (ho_10279 u ii)))))))))) (let ((_let_10515 (forall ((x |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|) (y |u_(-> tptp.int tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z tptp.int)) (= (ho_10279 x z) (ho_10279 y z)))) (= x y))))) (let ((_let_10516 (forall ((u |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i tptp.set_Pr1261947904930325089at_nat)) (not (forall ((v |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.set_Pr1261947904930325089at_nat)) (= (ho_6816 v ii) (ite (= i ii) e (ho_6816 u ii)))))))))) (let ((_let_10517 (forall ((x |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.set_Pr1261947904930325089at_nat _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.set_Pr1261947904930325089at_nat)) (= (ho_6816 x z) (ho_6816 y z)))) (= x y))))) (let ((_let_10518 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_4572 v ii) (ite (= i ii) e (ho_4572 u ii)))))))))) (let ((_let_10519 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.set_nat)_ tptp.nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_4572 x z) (ho_4572 y z)))) (= x y))))) (let ((_let_10520 (forall ((u |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|) (e |u_(-> tptp.nat tptp.product_prod_nat_rat)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (not (forall ((ii tptp.int)) (= (ho_10294 v ii) (ite (= i ii) e (ho_10294 u ii)))))))))) (let ((_let_10521 (forall ((x |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|) (y |u_(-> tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z tptp.int)) (= (ho_10294 x z) (ho_10294 y z)))) (= x y))))) (let ((_let_10522 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10292 v ii) (ite (= i ii) e (ho_10292 u ii)))))))))) (let ((_let_10523 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ tptp.int tptp.nat tptp.product_prod_nat_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10292 x z) (ho_10292 y z)))) (= x y))))) (let ((_let_10524 (forall ((u |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (= (ho_14815 v ii) (ite (= i ii) e (ho_14815 u ii)))))))))) (let ((_let_10525 (forall ((x |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (= (ho_14815 x z) (ho_14815 y z)))) (= x y))))) (let ((_let_10526 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int)|)) (= (ho_10729 v ii) (ite (= i ii) e (ho_10729 u ii)))))))))) (let ((_let_10527 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int)|)) (= (ho_10729 x z) (ho_10729 y z)))) (= x y))))) (let ((_let_10528 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|) (e |u_(-> tptp.rat tptp.rat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_11052 v ii) (ite (= i ii) e (ho_11052 u ii)))))))))) (let ((_let_10529 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.rat tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_11052 x z) (ho_11052 y z)))) (= x y))))) (let ((_let_10530 (forall ((u |u_(-> tptp.nat tptp.rat tptp.product_prod_nat_rat)|) (e |u_(-> tptp.rat tptp.product_prod_nat_rat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.rat tptp.product_prod_nat_rat)|)) (not (forall ((ii tptp.nat)) (= (ho_10297 v ii) (ite (= i ii) e (ho_10297 u ii)))))))))) (let ((_let_10531 (forall ((x |u_(-> tptp.nat tptp.rat tptp.product_prod_nat_rat)|) (y |u_(-> tptp.nat tptp.rat tptp.product_prod_nat_rat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10297 x z) (ho_10297 y z)))) (= x y))))) (let ((_let_10532 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_10783 v ii) (ite (= i ii) e (ho_10783 u ii)))))))))) (let ((_let_10533 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10783 x z) (ho_10783 y z)))) (= x y))))) (let ((_let_10534 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|) (e |u_(-> tptp.nat tptp.int tptp.product_prod_nat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10309 v ii) (ite (= i ii) e (ho_10309 u ii)))))))))) (let ((_let_10535 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10309 x z) (ho_10309 y z)))) (= x y))))) (let ((_let_10536 (forall ((u |u_(-> Bool tptp.product_prod_o_o)|) (e tptp.product_prod_o_o) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_o_o)|)) (not (forall ((ii Bool)) (= (ho_10670 v ii) (ite (= i ii) e (ho_10670 u ii)))))))))) (let ((_let_10537 (forall ((x |u_(-> Bool tptp.product_prod_o_o)|) (y |u_(-> Bool tptp.product_prod_o_o)|)) (or (not (forall ((z Bool)) (= (ho_10670 x z) (ho_10670 y z)))) (= x y))))) (let ((_let_10538 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (i |u_(-> tptp.code_integer tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.int)|)) (= (ho_5442 v ii) (ite (= i ii) e (ho_5442 u ii)))))))))) (let ((_let_10539 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|) (y |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ tptp.code_integer tptp.num)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.int)|)) (= (ho_5442 x z) (ho_5442 y z)))) (= x y))))) (let ((_let_10540 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10308 v ii) (ite (= i ii) e (ho_10308 u ii)))))))))) (let ((_let_10541 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_nat_int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10308 x z) (ho_10308 y z)))) (= x y))))) (let ((_let_10542 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_13763 v ii) (ite (= i ii) e (ho_13763 u ii)))))))))) (let ((_let_10543 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_13763 x z) (ho_13763 y z)))) (= x y))))) (let ((_let_10544 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_5859 v ii) (ite (= i ii) e (ho_5859 u ii)))))))))) (let ((_let_10545 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_Pr4329608150637261639at_nat Bool tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_5859 x z) (ho_5859 y z)))) (= x y))))) (let ((_let_10546 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|) (e |u_(-> tptp.nat tptp.int tptp.product_prod_rat_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10314 v ii) (ite (= i ii) e (ho_10314 u ii)))))))))) (let ((_let_10547 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.nat tptp.int tptp.product_prod_rat_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10314 x z) (ho_10314 y z)))) (= x y))))) (let ((_let_10548 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10915 v ii) (ite (= i ii) e (ho_10915 u ii)))))))))) (let ((_let_10549 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10915 x z) (ho_10915 y z)))) (= x y))))) (let ((_let_10550 (forall ((u |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (e |u_(-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (i |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (not (forall ((ii |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_10326 v ii) (ite (= i ii) e (ho_10326 u ii)))))))))) (let ((_let_10551 (forall ((x |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (y |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (or (not (forall ((z |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|)) (= (ho_10326 x z) (ho_10326 y z)))) (= x y))))) (let ((_let_10552 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (i |u_(-> tptp.int tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer)|)) (= (ho_14776 v ii) (ite (= i ii) e (ho_14776 u ii)))))))))) (let ((_let_10553 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.code_integer tptp.int)_ _u_(-> tptp.int tptp.code_integer Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer)|)) (= (ho_14776 x z) (ho_14776 y z)))) (= x y))))) (let ((_let_10554 (forall ((u |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|) (i |u_(-> tptp.char tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.char tptp.num)|)) (= (ho_10341 v ii) (ite (= i ii) e (ho_10341 u ii)))))))))) (let ((_let_10555 (forall ((x |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.char tptp.num)_ _u_(-> tptp.nat tptp.char)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.char tptp.num)|)) (= (ho_10341 x z) (ho_10341 y z)))) (= x y))))) (let ((_let_10556 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_10345 v ii) (ite (= i ii) e (ho_10345 u ii)))))))))) (let ((_let_10557 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.char)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_10345 x z) (ho_10345 y z)))) (= x y))))) (let ((_let_10558 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ Bool Bool)|) (e |u_(-> _u_(-> Bool tptp.char)_ Bool Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ Bool Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_10347 v ii) (ite (= i ii) e (ho_10347 u ii)))))))))) (let ((_let_10559 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ Bool Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> Bool tptp.char)_ Bool Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_10347 x z) (ho_10347 y z)))) (= x y))))) (let ((_let_10560 (forall ((u |u_(-> tptp.int tptp.char)|) (e tptp.char) (i tptp.int)) (not (forall ((v |u_(-> tptp.int tptp.char)|)) (not (forall ((ii tptp.int)) (= (ho_10349 v ii) (ite (= i ii) e (ho_10349 u ii)))))))))) (let ((_let_10561 (forall ((x |u_(-> tptp.int tptp.char)|) (y |u_(-> tptp.int tptp.char)|)) (or (not (forall ((z tptp.int)) (= (ho_10349 x z) (ho_10349 y z)))) (= x y))))) (let ((_let_10562 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (e |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_15439 v ii) (ite (= i ii) e (ho_15439 u ii)))))))))) (let ((_let_10563 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_15439 x z) (ho_15439 y z)))) (= x y))))) (let ((_let_10564 (forall ((u |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.set_int tptp.set_rat)|) (e |u_(-> tptp.set_int tptp.set_rat)|) (i |u_(-> tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.set_int tptp.set_rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.rat)|)) (= (ho_12295 v ii) (ite (= i ii) e (ho_12295 u ii)))))))))) (let ((_let_10565 (forall ((x |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.set_int tptp.set_rat)|) (y |u_(-> _u_(-> tptp.int tptp.rat)_ tptp.set_int tptp.set_rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.rat)|)) (= (ho_12295 x z) (ho_12295 y z)))) (= x y))))) (let ((_let_10566 (forall ((u |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.char)|)) (= (ho_10355 v ii) (ite (= i ii) e (ho_10355 u ii)))))))))) (let ((_let_10567 (forall ((x |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.char)|)) (= (ho_10355 x z) (ho_10355 y z)))) (= x y))))) (let ((_let_10568 (forall ((u |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.char tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.nat)|)) (= (ho_10357 v ii) (ite (= i ii) e (ho_10357 u ii)))))))))) (let ((_let_10569 (forall ((x |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.char tptp.nat)_ _u_(-> tptp.nat tptp.char)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.nat)|)) (= (ho_10357 x z) (ho_10357 y z)))) (= x y))))) (let ((_let_10570 (forall ((u |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i |u_(-> tptp.num Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool)|)) (not (forall ((ii |u_(-> tptp.num Bool)|)) (= (ho_13278 v ii) (ite (= i ii) e (ho_13278 u ii)))))))))) (let ((_let_10571 (forall ((x |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool)|) (y |u_(-> _u_(-> tptp.num Bool)_ tptp.num Bool)|)) (or (not (forall ((z |u_(-> tptp.num Bool)|)) (= (ho_13278 x z) (ho_13278 y z)))) (= x y))))) (let ((_let_10572 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|) (e |u_(-> tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|) (i |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_10413 v ii) (ite (= i ii) e (ho_10413 u ii)))))))))) (let ((_let_10573 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ tptp.set_Code_integer tptp.set_Co726186806682698383nteger)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_10413 x z) (ho_10413 y z)))) (= x y))))) (let ((_let_10574 (forall ((u |u_(-> tptp.set_int tptp.set_num)|) (e tptp.set_num) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_num)|)) (not (forall ((ii tptp.set_int)) (= (ho_10373 v ii) (ite (= i ii) e (ho_10373 u ii)))))))))) (let ((_let_10575 (forall ((x |u_(-> tptp.set_int tptp.set_num)|) (y |u_(-> tptp.set_int tptp.set_num)|)) (or (not (forall ((z tptp.set_int)) (= (ho_10373 x z) (ho_10373 y z)))) (= x y))))) (let ((_let_10576 (forall ((u |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|) (e |u_(-> tptp.int tptp.char Bool)|) (i |u_(-> tptp.int tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.char)|)) (= (ho_13902 v ii) (ite (= i ii) e (ho_13902 u ii)))))))))) (let ((_let_10577 (forall ((x |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|) (y |u_(-> _u_(-> tptp.int tptp.char)_ tptp.int tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.char)|)) (= (ho_13902 x z) (ho_13902 y z)))) (= x y))))) (let ((_let_10578 (forall ((u |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int tptp.set_num)|) (e |u_(-> tptp.set_int tptp.set_num)|) (i |u_(-> tptp.int tptp.num)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int tptp.set_num)|)) (not (forall ((ii |u_(-> tptp.int tptp.num)|)) (= (ho_10372 v ii) (ite (= i ii) e (ho_10372 u ii)))))))))) (let ((_let_10579 (forall ((x |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int tptp.set_num)|) (y |u_(-> _u_(-> tptp.int tptp.num)_ tptp.set_int tptp.set_num)|)) (or (not (forall ((z |u_(-> tptp.int tptp.num)|)) (= (ho_10372 x z) (ho_10372 y z)))) (= x y))))) (let ((_let_10580 (forall ((u |u_(-> tptp.set_num tptp.set_num Bool)|) (e |u_(-> tptp.set_num Bool)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num tptp.set_num Bool)|)) (not (forall ((ii tptp.set_num)) (= (ho_10375 v ii) (ite (= i ii) e (ho_10375 u ii)))))))))) (let ((_let_10581 (forall ((x |u_(-> tptp.set_num tptp.set_num Bool)|) (y |u_(-> tptp.set_num tptp.set_num Bool)|)) (or (not (forall ((z tptp.set_num)) (= (ho_10375 x z) (ho_10375 y z)))) (= x y))))) (let ((_let_10582 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|)) (not (forall ((ii tptp.set_num)) (= (ho_10378 v ii) (ite (= i ii) e (ho_10378 u ii)))))))))) (let ((_let_10583 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ tptp.num tptp.num Bool)|)) (or (not (forall ((z tptp.set_num)) (= (ho_10378 x z) (ho_10378 y z)))) (= x y))))) (let ((_let_10584 (forall ((u |u_(-> tptp.rat tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat tptp.nat Bool)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_8098 v ii) (ite (= i ii) e (ho_8098 u ii)))))))))) (let ((_let_10585 (forall ((x |u_(-> tptp.rat tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.rat tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_8098 x z) (ho_8098 y z)))) (= x y))))) (let ((_let_10586 (forall ((u |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool Bool)|)) (= (ho_10823 v ii) (ite (= i ii) e (ho_10823 u ii)))))))))) (let ((_let_10587 (forall ((x |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool Bool)_ tptp.nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool Bool)|)) (= (ho_10823 x z) (ho_10823 y z)))) (= x y))))) (let ((_let_10588 (forall ((u |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|) (e |u_(-> _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|) (i |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (= (ho_13297 v ii) (ite (= i ii) e (ho_13297 u ii)))))))))) (let ((_let_10589 (forall ((x |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|) (y |u_(-> _u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)_ _u_(-> tptp.num tptp.product_prod_num_nat)_ tptp.num tptp.product_prod_num_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_num_nat tptp.product_prod_num_nat)|)) (= (ho_13297 x z) (ho_13297 y z)))) (= x y))))) (let ((_let_10590 (forall ((u |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (e |u_(-> _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (i tptp.set_num)) (not (forall ((v |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (not (forall ((ii tptp.set_num)) (= (ho_10381 v ii) (ite (= i ii) e (ho_10381 u ii)))))))))) (let ((_let_10591 (forall ((x |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|) (y |u_(-> tptp.set_num _u_(-> tptp.num tptp.num)_ _u_(-> tptp.int tptp.num)_ _u_(-> tptp.int tptp.num)_ Bool)|)) (or (not (forall ((z tptp.set_num)) (= (ho_10381 x z) (ho_10381 y z)))) (= x y))))) (let ((_let_10592 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10386 v ii) (ite (= i ii) e (ho_10386 u ii)))))))))) (let ((_let_10593 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10386 x z) (ho_10386 y z)))) (= x y))))) (let ((_let_10594 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13535 v ii) (ite (= i ii) e (ho_13535 u ii)))))))))) (let ((_let_10595 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.nat tptp.int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13535 x z) (ho_13535 y z)))) (= x y))))) (let ((_let_10596 (forall ((u |u_(-> _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14111 v ii) (ite (= i ii) e (ho_14111 u ii)))))))))) (let ((_let_10597 (forall ((x |u_(-> _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)|)) (= (ho_14111 x z) (ho_14111 y z)))) (= x y))))) (let ((_let_10598 (forall ((u |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ Bool)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ Bool)|)) (not (forall ((ii tptp.set_o)) (= (ho_10403 v ii) (ite (= i ii) e (ho_10403 u ii)))))))))) (let ((_let_10599 (forall ((x |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ Bool)|) (y |u_(-> tptp.set_o _u_(-> tptp.nat Bool)_ Bool)|)) (or (not (forall ((z tptp.set_o)) (= (ho_10403 x z) (ho_10403 y z)))) (= x y))))) (let ((_let_10600 (forall ((u |u_(-> tptp.set_Co726186806682698383nteger _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|) (e |u_(-> _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|) (i tptp.set_Co726186806682698383nteger)) (not (forall ((v |u_(-> tptp.set_Co726186806682698383nteger _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (not (forall ((ii tptp.set_Co726186806682698383nteger)) (= (ho_10410 v ii) (ite (= i ii) e (ho_10410 u ii)))))))))) (let ((_let_10601 (forall ((x |u_(-> tptp.set_Co726186806682698383nteger _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|) (y |u_(-> tptp.set_Co726186806682698383nteger _u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)_ Bool)|)) (or (not (forall ((z tptp.set_Co726186806682698383nteger)) (= (ho_10410 x z) (ho_10410 y z)))) (= x y))))) (let ((_let_10602 (forall ((u |u_(-> tptp.set_nat tptp.set_nat Bool tptp.set_nat)|) (e |u_(-> tptp.set_nat Bool tptp.set_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_4665 v ii) (ite (= i ii) e (ho_4665 u ii)))))))))) (let ((_let_10603 (forall ((x |u_(-> tptp.set_nat tptp.set_nat Bool tptp.set_nat)|) (y |u_(-> tptp.set_nat tptp.set_nat Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_4665 x z) (ho_4665 y z)))) (= x y))))) (let ((_let_10604 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_8682 v ii) (ite (= i ii) e (ho_8682 u ii)))))))))) (let ((_let_10605 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.set_int _u_(-> tptp.int Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_8682 x z) (ho_8682 y z)))) (= x y))))) (let ((_let_10606 (forall ((u |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|) (e tptp.produc5288414631154139675_ref_a) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_10420 v ii) (ite (= i ii) e (ho_10420 u ii)))))))))) (let ((_let_10607 (forall ((x |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|) (y |u_(-> tptp.ref_a tptp.produc5288414631154139675_ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_10420 x z) (ho_10420 y z)))) (= x y))))) (let ((_let_10608 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_10426 v ii) (ite (= i ii) e (ho_10426 u ii)))))))))) (let ((_let_10609 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit tptp.produc8126358835630522215t_unit)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_10426 x z) (ho_10426 y z)))) (= x y))))) (let ((_let_10610 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10577 v ii) (ite (= i ii) e (ho_10577 u ii)))))))))) (let ((_let_10611 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10577 x z) (ho_10577 y z)))) (= x y))))) (let ((_let_10612 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10432 v ii) (ite (= i ii) e (ho_10432 u ii)))))))))) (let ((_let_10613 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10432 x z) (ho_10432 y z)))) (= x y))))) (let ((_let_10614 (forall ((u |u_(-> tptp.set_set_o tptp.set_set_o tptp.set_set_o)|) (e |u_(-> tptp.set_set_o tptp.set_set_o)|) (i tptp.set_set_o)) (not (forall ((v |u_(-> tptp.set_set_o tptp.set_set_o tptp.set_set_o)|)) (not (forall ((ii tptp.set_set_o)) (= (ho_15722 v ii) (ite (= i ii) e (ho_15722 u ii)))))))))) (let ((_let_10615 (forall ((x |u_(-> tptp.set_set_o tptp.set_set_o tptp.set_set_o)|) (y |u_(-> tptp.set_set_o tptp.set_set_o tptp.set_set_o)|)) (or (not (forall ((z tptp.set_set_o)) (= (ho_15722 x z) (ho_15722 y z)))) (= x y))))) (let ((_let_10616 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_num_nat)|) (e tptp.product_prod_num_nat) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_12616 v ii) (ite (= i ii) e (ho_12616 u ii)))))))))) (let ((_let_10617 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_num_nat)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_num_nat)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_12616 x z) (ho_12616 y z)))) (= x y))))) (let ((_let_10618 (forall ((u |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool tptp.rat Bool)|) (e |u_(-> tptp.set_o Bool tptp.rat Bool)|) (i |u_(-> Bool tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool tptp.rat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.rat)|)) (= (ho_7186 v ii) (ite (= i ii) e (ho_7186 u ii)))))))))) (let ((_let_10619 (forall ((x |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool tptp.rat Bool)|) (y |u_(-> _u_(-> Bool tptp.rat)_ tptp.set_o Bool tptp.rat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.rat)|)) (= (ho_7186 x z) (ho_7186 y z)))) (= x y))))) (let ((_let_10620 (forall ((u |u_(-> tptp.set_nat tptp.set_list_nat)|) (e tptp.set_list_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_list_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_10436 v ii) (ite (= i ii) e (ho_10436 u ii)))))))))) (let ((_let_10621 (forall ((x |u_(-> tptp.set_nat tptp.set_list_nat)|) (y |u_(-> tptp.set_nat tptp.set_list_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_10436 x z) (ho_10436 y z)))) (= x y))))) (let ((_let_10622 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (e tptp.produc3843707927480180839at_nat) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_16014 v ii) (ite (= i ii) e (ho_16014 u ii)))))))))) (let ((_let_10623 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|) (y |u_(-> tptp.product_prod_nat_num tptp.produc3843707927480180839at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_16014 x z) (ho_16014 y z)))) (= x y))))) (let ((_let_10624 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_5758 v ii) (ite (= i ii) e (ho_5758 u ii)))))))))) (let ((_let_10625 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_5758 x z) (ho_5758 y z)))) (= x y))))) (let ((_let_10626 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10644 v ii) (ite (= i ii) e (ho_10644 u ii)))))))))) (let ((_let_10627 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10644 x z) (ho_10644 y z)))) (= x y))))) (let ((_let_10628 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10457 v ii) (ite (= i ii) e (ho_10457 u ii)))))))))) (let ((_let_10629 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.nat tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10457 x z) (ho_10457 y z)))) (= x y))))) (let ((_let_10630 (forall ((u |u_(-> tptp.rat tptp.rat Bool)|) (e |u_(-> tptp.rat Bool)|) (i tptp.rat)) (not (forall ((v |u_(-> tptp.rat tptp.rat Bool)|)) (not (forall ((ii tptp.rat)) (= (ho_10461 v ii) (ite (= i ii) e (ho_10461 u ii)))))))))) (let ((_let_10631 (forall ((x |u_(-> tptp.rat tptp.rat Bool)|) (y |u_(-> tptp.rat tptp.rat Bool)|)) (or (not (forall ((z tptp.rat)) (= (ho_10461 x z) (ho_10461 y z)))) (= x y))))) (let ((_let_10632 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.set_int)|) (e tptp.set_int) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.set_int)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_12154 v ii) (ite (= i ii) e (ho_12154 u ii)))))))))) (let ((_let_10633 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.set_int)|) (y |u_(-> tptp.product_prod_nat_nat tptp.set_int)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_12154 x z) (ho_12154 y z)))) (= x y))))) (let ((_let_10634 (forall ((u |u_(-> tptp.nat tptp.nat tptp.set_nat)|) (e |u_(-> tptp.nat tptp.set_nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.set_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_10474 v ii) (ite (= i ii) e (ho_10474 u ii)))))))))) (let ((_let_10635 (forall ((x |u_(-> tptp.nat tptp.nat tptp.set_nat)|) (y |u_(-> tptp.nat tptp.nat tptp.set_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10474 x z) (ho_10474 y z)))) (= x y))))) (let ((_let_10636 (forall ((u |u_(-> tptp.char tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.product_prod_int_int)|)) (not (forall ((ii tptp.char)) (= (ho_10476 v ii) (ite (= i ii) e (ho_10476 u ii)))))))))) (let ((_let_10637 (forall ((x |u_(-> tptp.char tptp.product_prod_int_int)|) (y |u_(-> tptp.char tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.char)) (= (ho_10476 x z) (ho_10476 y z)))) (= x y))))) (let ((_let_10638 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10481 v ii) (ite (= i ii) e (ho_10481 u ii)))))))))) (let ((_let_10639 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.char tptp.product_prod_int_int)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10481 x z) (ho_10481 y z)))) (= x y))))) (let ((_let_10640 (forall ((u |u_(-> tptp.product_prod_num_num Bool)|) (e Bool) (i tptp.product_prod_num_num)) (not (forall ((v |u_(-> tptp.product_prod_num_num Bool)|)) (not (forall ((ii tptp.product_prod_num_num)) (= (ho_16013 v ii) (ite (= i ii) e (ho_16013 u ii)))))))))) (let ((_let_10641 (forall ((x |u_(-> tptp.product_prod_num_num Bool)|) (y |u_(-> tptp.product_prod_num_num Bool)|)) (or (not (forall ((z tptp.product_prod_num_num)) (= (ho_16013 x z) (ho_16013 y z)))) (= x y))))) (let ((_let_10642 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10503 v ii) (ite (= i ii) e (ho_10503 u ii)))))))))) (let ((_let_10643 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10503 x z) (ho_10503 y z)))) (= x y))))) (let ((_let_10644 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit Bool)|) (e |u_(-> tptp.set_set_Product_unit Bool)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit Bool)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15142 v ii) (ite (= i ii) e (ho_15142 u ii)))))))))) (let ((_let_10645 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit Bool)|) (y |u_(-> tptp.set_Product_unit tptp.set_set_Product_unit Bool)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15142 x z) (ho_15142 y z)))) (= x y))))) (let ((_let_10646 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10502 v ii) (ite (= i ii) e (ho_10502 u ii)))))))))) (let ((_let_10647 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.int tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10502 x z) (ho_10502 y z)))) (= x y))))) (let ((_let_10648 (forall ((u |u_(-> tptp.num tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|) (e |u_(-> tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii tptp.num)) (= (ho_8889 v ii) (ite (= i ii) e (ho_8889 u ii)))))))))) (let ((_let_10649 (forall ((x |u_(-> tptp.num tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> tptp.num tptp.set_num tptp.nat tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z tptp.num)) (= (ho_8889 x z) (ho_8889 y z)))) (= x y))))) (let ((_let_10650 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10505 v ii) (ite (= i ii) e (ho_10505 u ii)))))))))) (let ((_let_10651 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10505 x z) (ho_10505 y z)))) (= x y))))) (let ((_let_10652 (forall ((u |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10513 v ii) (ite (= i ii) e (ho_10513 u ii)))))))))) (let ((_let_10653 (forall ((x |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.product_prod_nat_nat)_ tptp.set_nat tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10513 x z) (ho_10513 y z)))) (= x y))))) (let ((_let_10654 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10067 v ii) (ite (= i ii) e (ho_10067 u ii)))))))))) (let ((_let_10655 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat Bool)_ _u_(-> tptp.nat Bool)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat Bool)|)) (= (ho_10067 x z) (ho_10067 y z)))) (= x y))))) (let ((_let_10656 (forall ((u |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_10522 v ii) (ite (= i ii) e (ho_10522 u ii)))))))))) (let ((_let_10657 (forall ((x |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_10522 x z) (ho_10522 y z)))) (= x y))))) (let ((_let_10658 (forall ((u |u_(-> tptp.num tptp.set_num Bool)|) (e |u_(-> tptp.set_num Bool)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.set_num Bool)|)) (not (forall ((ii tptp.num)) (= (ho_14573 v ii) (ite (= i ii) e (ho_14573 u ii)))))))))) (let ((_let_10659 (forall ((x |u_(-> tptp.num tptp.set_num Bool)|) (y |u_(-> tptp.num tptp.set_num Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_14573 x z) (ho_14573 y z)))) (= x y))))) (let ((_let_10660 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10528 v ii) (ite (= i ii) e (ho_10528 u ii)))))))))) (let ((_let_10661 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10528 x z) (ho_10528 y z)))) (= x y))))) (let ((_let_10662 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11385 v ii) (ite (= i ii) e (ho_11385 u ii)))))))))) (let ((_let_10663 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_11385 x z) (ho_11385 y z)))) (= x y))))) (let ((_let_10664 (forall ((u |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_char tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10530 v ii) (ite (= i ii) e (ho_10530 u ii)))))))))) (let ((_let_10665 (forall ((x |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.char tptp.product_prod_nat_nat)_ tptp.set_char tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10530 x z) (ho_10530 y z)))) (= x y))))) (let ((_let_10666 (forall ((u |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (= (ho_10861 v ii) (ite (= i ii) e (ho_10861 u ii)))))))))) (let ((_let_10667 (forall ((x |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.produc3843707927480180839at_nat Bool Bool)_ tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|)) (= (ho_10861 x z) (ho_10861 y z)))) (= x y))))) (let ((_let_10668 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10537 v ii) (ite (= i ii) e (ho_10537 u ii)))))))))) (let ((_let_10669 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10537 x z) (ho_10537 y z)))) (= x y))))) (let ((_let_10670 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (e |u_(-> tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (i |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7834 v ii) (ite (= i ii) e (ho_7834 u ii)))))))))) (let ((_let_10671 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)_ tptp.set_Pr8693737435421807431at_nat Bool tptp.set_Pr8693737435421807431at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|)) (= (ho_7834 x z) (ho_7834 y z)))) (= x y))))) (let ((_let_10672 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10539 v ii) (ite (= i ii) e (ho_10539 u ii)))))))))) (let ((_let_10673 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10539 x z) (ho_10539 y z)))) (= x y))))) (let ((_let_10674 (forall ((u |u_(-> tptp.num Bool Bool)|) (e |u_(-> Bool Bool)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num Bool Bool)|)) (not (forall ((ii tptp.num)) (= (ho_13158 v ii) (ite (= i ii) e (ho_13158 u ii)))))))))) (let ((_let_10675 (forall ((x |u_(-> tptp.num Bool Bool)|) (y |u_(-> tptp.num Bool Bool)|)) (or (not (forall ((z tptp.num)) (= (ho_13158 x z) (ho_13158 y z)))) (= x y))))) (let ((_let_10676 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10543 v ii) (ite (= i ii) e (ho_10543 u ii)))))))))) (let ((_let_10677 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10543 x z) (ho_10543 y z)))) (= x y))))) (let ((_let_10678 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10705 v ii) (ite (= i ii) e (ho_10705 u ii)))))))))) (let ((_let_10679 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10705 x z) (ho_10705 y z)))) (= x y))))) (let ((_let_10680 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_14726 v ii) (ite (= i ii) e (ho_14726 u ii)))))))))) (let ((_let_10681 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_14726 x z) (ho_14726 y z)))) (= x y))))) (let ((_let_10682 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7233 v ii) (ite (= i ii) e (ho_7233 u ii)))))))))) (let ((_let_10683 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.char)_ tptp.product_unit tptp.char tptp.product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7233 x z) (ho_7233 y z)))) (= x y))))) (let ((_let_10684 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|) (e |u_(-> tptp.product_unit tptp.int)|) (i |u_(-> tptp.product_unit tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8178 v ii) (ite (= i ii) e (ho_8178 u ii)))))))))) (let ((_let_10685 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|) (y |u_(-> _u_(-> tptp.product_unit tptp.int)_ tptp.product_unit tptp.int)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.int)|)) (= (ho_8178 x z) (ho_8178 y z)))) (= x y))))) (let ((_let_10686 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10557 v ii) (ite (= i ii) e (ho_10557 u ii)))))))))) (let ((_let_10687 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10557 x z) (ho_10557 y z)))) (= x y))))) (let ((_let_10688 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (e |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10561 v ii) (ite (= i ii) e (ho_10561 u ii)))))))))) (let ((_let_10689 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> Bool tptp.nat)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10561 x z) (ho_10561 y z)))) (= x y))))) (let ((_let_10690 (forall ((u |u_(-> _u_(-> Bool tptp.char)_ tptp.set_char tptp.set_o)|) (e |u_(-> tptp.set_char tptp.set_o)|) (i |u_(-> Bool tptp.char)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.char)_ tptp.set_char tptp.set_o)|)) (not (forall ((ii |u_(-> Bool tptp.char)|)) (= (ho_15657 v ii) (ite (= i ii) e (ho_15657 u ii)))))))))) (let ((_let_10691 (forall ((x |u_(-> _u_(-> Bool tptp.char)_ tptp.set_char tptp.set_o)|) (y |u_(-> _u_(-> Bool tptp.char)_ tptp.set_char tptp.set_o)|)) (or (not (forall ((z |u_(-> Bool tptp.char)|)) (= (ho_15657 x z) (ho_15657 y z)))) (= x y))))) (let ((_let_10692 (forall ((u |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|) (e tptp.set_set_nat) (i tptp.set_se7855581050983116737at_nat)) (not (forall ((v |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|)) (not (forall ((ii tptp.set_se7855581050983116737at_nat)) (= (ho_7108 v ii) (ite (= i ii) e (ho_7108 u ii)))))))))) (let ((_let_10693 (forall ((x |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|) (y |u_(-> tptp.set_se7855581050983116737at_nat tptp.set_set_nat)|)) (or (not (forall ((z tptp.set_se7855581050983116737at_nat)) (= (ho_7108 x z) (ho_7108 y z)))) (= x y))))) (let ((_let_10694 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool tptp.num)|) (e |u_(-> Bool tptp.num)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool tptp.num)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10566 v ii) (ite (= i ii) e (ho_10566 u ii)))))))))) (let ((_let_10695 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool tptp.num)|) (y |u_(-> _u_(-> Bool Bool)_ Bool tptp.num)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10566 x z) (ho_10566 y z)))) (= x y))))) (let ((_let_10696 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10584 v ii) (ite (= i ii) e (ho_10584 u ii)))))))))) (let ((_let_10697 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10584 x z) (ho_10584 y z)))) (= x y))))) (let ((_let_10698 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10582 v ii) (ite (= i ii) e (ho_10582 u ii)))))))))) (let ((_let_10699 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10582 x z) (ho_10582 y z)))) (= x y))))) (let ((_let_10700 (forall ((u |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_10581 v ii) (ite (= i ii) e (ho_10581 u ii)))))))))) (let ((_let_10701 (forall ((x |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> Bool Bool)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_10581 x z) (ho_10581 y z)))) (= x y))))) (let ((_let_10702 (forall ((u |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> Bool tptp.int)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.int)|)) (= (ho_10598 v ii) (ite (= i ii) e (ho_10598 u ii)))))))))) (let ((_let_10703 (forall ((x |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.int)|)) (= (ho_10598 x z) (ho_10598 y z)))) (= x y))))) (let ((_let_10704 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_10595 v ii) (ite (= i ii) e (ho_10595 u ii)))))))))) (let ((_let_10705 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.int Bool)_ _u_(-> Bool tptp.int)_ _u_(-> tptp.nat Bool)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_10595 x z) (ho_10595 y z)))) (= x y))))) (let ((_let_10706 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_7054 v ii) (ite (= i ii) e (ho_7054 u ii)))))))))) (let ((_let_10707 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_7054 x z) (ho_7054 y z)))) (= x y))))) (let ((_let_10708 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|) (e |u_(-> tptp.int tptp.nat tptp.nat)|) (i |u_(-> tptp.int tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat tptp.nat)|)) (= (ho_10638 v ii) (ite (= i ii) e (ho_10638 u ii)))))))))) (let ((_let_10709 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat tptp.nat)_ tptp.int tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat tptp.nat)|)) (= (ho_10638 x z) (ho_10638 y z)))) (= x y))))) (let ((_let_10710 (forall ((u |u_(-> Bool tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.nat tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_10641 v ii) (ite (= i ii) e (ho_10641 u ii)))))))))) (let ((_let_10711 (forall ((x |u_(-> Bool tptp.nat tptp.nat)|) (y |u_(-> Bool tptp.nat tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_10641 x z) (ho_10641 y z)))) (= x y))))) (let ((_let_10712 (forall ((u |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|) (e |u_(-> Bool tptp.nat tptp.nat)|) (i |u_(-> Bool tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> Bool tptp.nat tptp.nat)|)) (= (ho_10643 v ii) (ite (= i ii) e (ho_10643 u ii)))))))))) (let ((_let_10713 (forall ((x |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|) (y |u_(-> _u_(-> Bool tptp.nat tptp.nat)_ Bool tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> Bool tptp.nat tptp.nat)|)) (= (ho_10643 x z) (ho_10643 y z)))) (= x y))))) (let ((_let_10714 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10647 v ii) (ite (= i ii) e (ho_10647 u ii)))))))))) (let ((_let_10715 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10647 x z) (ho_10647 y z)))) (= x y))))) (let ((_let_10716 (forall ((u |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (e |u_(-> _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (i |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (= (ho_14269 v ii) (ite (= i ii) e (ho_14269 u ii)))))))))) (let ((_let_10717 (forall ((x |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)_ _u_(-> tptp.list_nat tptp.nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.list_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.list_nat tptp.nat)_ Bool)|)) (= (ho_14269 x z) (ho_14269 y z)))) (= x y))))) (let ((_let_10718 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_int)|) (e tptp.set_int) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_int)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_12145 v ii) (ite (= i ii) e (ho_12145 u ii)))))))))) (let ((_let_10719 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_int)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_int)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_12145 x z) (ho_12145 y z)))) (= x y))))) (let ((_let_10720 (forall ((u |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|) (e |u_(-> tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|) (i tptp.ref_a)) (not (forall ((v |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (not (forall ((ii tptp.ref_a)) (= (ho_10651 v ii) (ite (= i ii) e (ho_10651 u ii)))))))))) (let ((_let_10721 (forall ((x |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|) (y |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit tptp.produc1799199577659733785_ref_a)|)) (or (not (forall ((z tptp.ref_a)) (= (ho_10651 x z) (ho_10651 y z)))) (= x y))))) (let ((_let_10722 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc1799199577659733785_ref_a)|) (e |u_(-> tptp.ref_a tptp.produc1799199577659733785_ref_a)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc1799199577659733785_ref_a)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_10654 v ii) (ite (= i ii) e (ho_10654 u ii)))))))))) (let ((_let_10723 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc1799199577659733785_ref_a)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.ref_a tptp.produc1799199577659733785_ref_a)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_10654 x z) (ho_10654 y z)))) (= x y))))) (let ((_let_10724 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13069 v ii) (ite (= i ii) e (ho_13069 u ii)))))))))) (let ((_let_10725 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_13069 x z) (ho_13069 y z)))) (= x y))))) (let ((_let_10726 (forall ((u |u_(-> Bool Bool tptp.product_prod_o_o)|) (e |u_(-> Bool tptp.product_prod_o_o)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool tptp.product_prod_o_o)|)) (not (forall ((ii Bool)) (= (ho_10672 v ii) (ite (= i ii) e (ho_10672 u ii)))))))))) (let ((_let_10727 (forall ((x |u_(-> Bool Bool tptp.product_prod_o_o)|) (y |u_(-> Bool Bool tptp.product_prod_o_o)|)) (or (not (forall ((z Bool)) (= (ho_10672 x z) (ho_10672 y z)))) (= x y))))) (let ((_let_10728 (forall ((u |u_(-> tptp.set_int tptp.set_se6425085446898223655at_nat)|) (e tptp.set_se6425085446898223655at_nat) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_se6425085446898223655at_nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_8035 v ii) (ite (= i ii) e (ho_8035 u ii)))))))))) (let ((_let_10729 (forall ((x |u_(-> tptp.set_int tptp.set_se6425085446898223655at_nat)|) (y |u_(-> tptp.set_int tptp.set_se6425085446898223655at_nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_8035 x z) (ho_8035 y z)))) (= x y))))) (let ((_let_10730 (forall ((u |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (e tptp.produc4675096598859438275atural) (i tptp.produc4675096598859438275atural)) (not (forall ((v |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|)) (not (forall ((ii tptp.produc4675096598859438275atural)) (= (ho_16006 v ii) (ite (= i ii) e (ho_16006 u ii)))))))))) (let ((_let_10731 (forall ((x |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (y |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|)) (or (not (forall ((z tptp.produc4675096598859438275atural)) (= (ho_16006 x z) (ho_16006 y z)))) (= x y))))) (let ((_let_10732 (forall ((u |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.code_integer tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_10707 v ii) (ite (= i ii) e (ho_10707 u ii)))))))))) (let ((_let_10733 (forall ((x |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.code_integer tptp.code_integer)|)) (= (ho_10707 x z) (ho_10707 y z)))) (= x y))))) (let ((_let_10734 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10710 v ii) (ite (= i ii) e (ho_10710 u ii)))))))))) (let ((_let_10735 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10710 x z) (ho_10710 y z)))) (= x y))))) (let ((_let_10736 (forall ((u |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (i |u_(-> tptp.int tptp.code_integer)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.code_integer)|)) (= (ho_10718 v ii) (ite (= i ii) e (ho_10718 u ii)))))))))) (let ((_let_10737 (forall ((x |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.code_integer)_ _u_(-> tptp.int tptp.code_integer Bool)_ tptp.product_prod_nat_nat tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.code_integer)|)) (= (ho_10718 x z) (ho_10718 y z)))) (= x y))))) (let ((_let_10738 (forall ((u |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.int tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10724 v ii) (ite (= i ii) e (ho_10724 u ii)))))))))) (let ((_let_10739 (forall ((x |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int Bool)|)) (= (ho_10724 x z) (ho_10724 y z)))) (= x y))))) (let ((_let_10740 (forall ((u |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (e |u_(-> _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (i |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (= (ho_14796 v ii) (ite (= i ii) e (ho_14796 u ii)))))))))) (let ((_let_10741 (forall ((x |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)_ _u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)_ tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer Bool)|)) (= (ho_14796 x z) (ho_14796 y z)))) (= x y))))) (let ((_let_10742 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (e |u_(-> tptp.int tptp.code_integer Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_10730 v ii) (ite (= i ii) e (ho_10730 u ii)))))))))) (let ((_let_10743 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int Bool)_ tptp.int tptp.code_integer Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|)) (= (ho_10730 x z) (ho_10730 y z)))) (= x y))))) (let ((_let_10744 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.num Bool)|) (e |u_(-> tptp.num Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.num Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_16012 v ii) (ite (= i ii) e (ho_16012 u ii)))))))))) (let ((_let_10745 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.num Bool)|) (y |u_(-> tptp.product_prod_nat_nat tptp.num Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_16012 x z) (ho_16012 y z)))) (= x y))))) (let ((_let_10746 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (e tptp.product_prod_int_int) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_10750 v ii) (ite (= i ii) e (ho_10750 u ii)))))))))) (let ((_let_10747 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_10750 x z) (ho_10750 y z)))) (= x y))))) (let ((_let_10748 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10749 v ii) (ite (= i ii) e (ho_10749 u ii)))))))))) (let ((_let_10749 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10749 x z) (ho_10749 y z)))) (= x y))))) (let ((_let_10750 (forall ((u |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit tptp.set_nat)|) (e |u_(-> tptp.set_Product_unit tptp.set_nat)|) (i |u_(-> tptp.product_unit tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_14947 v ii) (ite (= i ii) e (ho_14947 u ii)))))))))) (let ((_let_10751 (forall ((x |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit tptp.set_nat)|) (y |u_(-> _u_(-> tptp.product_unit tptp.nat)_ tptp.set_Product_unit tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.product_unit tptp.nat)|)) (= (ho_14947 x z) (ho_14947 y z)))) (= x y))))) (let ((_let_10752 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10759 v ii) (ite (= i ii) e (ho_10759 u ii)))))))))) (let ((_let_10753 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.product_prod_int_int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10759 x z) (ho_10759 y z)))) (= x y))))) (let ((_let_10754 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10766 v ii) (ite (= i ii) e (ho_10766 u ii)))))))))) (let ((_let_10755 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10766 x z) (ho_10766 y z)))) (= x y))))) (let ((_let_10756 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10769 v ii) (ite (= i ii) e (ho_10769 u ii)))))))))) (let ((_let_10757 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10769 x z) (ho_10769 y z)))) (= x y))))) (let ((_let_10758 (forall ((u |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|) (e |u_(-> tptp.product_unit Bool tptp.product_unit)|) (i |u_(-> tptp.product_unit Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|)) (not (forall ((ii |u_(-> tptp.product_unit Bool)|)) (= (ho_7265 v ii) (ite (= i ii) e (ho_7265 u ii)))))))))) (let ((_let_10759 (forall ((x |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|) (y |u_(-> _u_(-> tptp.product_unit Bool)_ tptp.product_unit Bool tptp.product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_unit Bool)|)) (= (ho_7265 x z) (ho_7265 y z)))) (= x y))))) (let ((_let_10760 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10768 v ii) (ite (= i ii) e (ho_10768 u ii)))))))))) (let ((_let_10761 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|)) (= (ho_10768 x z) (ho_10768 y z)))) (= x y))))) (let ((_let_10762 (forall ((u |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|) (e |u_(-> _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_7196 v ii) (ite (= i ii) e (ho_7196 u ii)))))))))) (let ((_let_10763 (forall ((x |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|) (y |u_(-> tptp.set_Product_unit _u_(-> tptp.product_unit tptp.rat)_ tptp.rat tptp.product_unit)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_7196 x z) (ho_7196 y z)))) (= x y))))) (let ((_let_10764 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (i |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10774 v ii) (ite (= i ii) e (ho_10774 u ii)))))))))) (let ((_let_10765 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_10774 x z) (ho_10774 y z)))) (= x y))))) (let ((_let_10766 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10798 v ii) (ite (= i ii) e (ho_10798 u ii)))))))))) (let ((_let_10767 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (y |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)_ tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10798 x z) (ho_10798 y z)))) (= x y))))) (let ((_let_10768 (forall ((u |u_(-> tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.int)) (not (forall ((v |u_(-> tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.int)) (= (ho_10812 v ii) (ite (= i ii) e (ho_10812 u ii)))))))))) (let ((_let_10769 (forall ((x |u_(-> tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.int)) (= (ho_10812 x z) (ho_10812 y z)))) (= x y))))) (let ((_let_10770 (forall ((u |u_(-> _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.int Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool Bool)|)) (= (ho_10811 v ii) (ite (= i ii) e (ho_10811 u ii)))))))))) (let ((_let_10771 (forall ((x |u_(-> _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int Bool Bool)_ tptp.int _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool Bool)|)) (= (ho_10811 x z) (ho_10811 y z)))) (= x y))))) (let ((_let_10772 (forall ((u |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_10819 v ii) (ite (= i ii) e (ho_10819 u ii)))))))))) (let ((_let_10773 (forall ((x |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> tptp.nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_10819 x z) (ho_10819 y z)))) (= x y))))) (let ((_let_10774 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool Bool Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ Bool Bool Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_13683 v ii) (ite (= i ii) e (ho_13683 u ii)))))))))) (let ((_let_10775 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool Bool Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> Bool Bool Bool)_ Bool Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_13683 x z) (ho_13683 y z)))) (= x y))))) (let ((_let_10776 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10953 v ii) (ite (= i ii) e (ho_10953 u ii)))))))))) (let ((_let_10777 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10953 x z) (ho_10953 y z)))) (= x y))))) (let ((_let_10778 (forall ((u |u_(-> Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii Bool)) (= (ho_10831 v ii) (ite (= i ii) e (ho_10831 u ii)))))))))) (let ((_let_10779 (forall ((x |u_(-> Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> Bool _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z Bool)) (= (ho_10831 x z) (ho_10831 y z)))) (= x y))))) (let ((_let_10780 (forall ((u |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (e |u_(-> tptp.int tptp.set_nat)|) (i |u_(-> tptp.int tptp.set_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.set_nat)|)) (= (ho_6415 v ii) (ite (= i ii) e (ho_6415 u ii)))))))))) (let ((_let_10781 (forall ((x |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|) (y |u_(-> _u_(-> tptp.int tptp.set_nat)_ tptp.int tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.set_nat)|)) (= (ho_6415 x z) (ho_6415 y z)))) (= x y))))) (let ((_let_10782 (forall ((u |u_(-> tptp.set_o Bool tptp.set_nat)|) (e |u_(-> Bool tptp.set_nat)|) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o Bool tptp.set_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_5740 v ii) (ite (= i ii) e (ho_5740 u ii)))))))))) (let ((_let_10783 (forall ((x |u_(-> tptp.set_o Bool tptp.set_nat)|) (y |u_(-> tptp.set_o Bool tptp.set_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_5740 x z) (ho_5740 y z)))) (= x y))))) (let ((_let_10784 (forall ((u |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (e |u_(-> _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (i tptp.set_Pr4329608150637261639at_nat)) (not (forall ((v |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (not (forall ((ii tptp.set_Pr4329608150637261639at_nat)) (= (ho_14582 v ii) (ite (= i ii) e (ho_14582 u ii)))))))))) (let ((_let_10785 (forall ((x |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|) (y |u_(-> tptp.set_Pr4329608150637261639at_nat _u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)_ tptp.set_Pr4329608150637261639at_nat)|)) (or (not (forall ((z tptp.set_Pr4329608150637261639at_nat)) (= (ho_14582 x z) (ho_14582 y z)))) (= x y))))) (let ((_let_10786 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_10835 v ii) (ite (= i ii) e (ho_10835 u ii)))))))))) (let ((_let_10787 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_10835 x z) (ho_10835 y z)))) (= x y))))) (let ((_let_10788 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (e |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7132 v ii) (ite (= i ii) e (ho_7132 u ii)))))))))) (let ((_let_10789 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_7132 x z) (ho_7132 y z)))) (= x y))))) (let ((_let_10790 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (= (ho_10842 v ii) (ite (= i ii) e (ho_10842 u ii)))))))))) (let ((_let_10791 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)_ tptp.product_prod_nat_nat _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|)) (= (ho_10842 x z) (ho_10842 y z)))) (= x y))))) (let ((_let_10792 (forall ((u |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_10847 v ii) (ite (= i ii) e (ho_10847 u ii)))))))))) (let ((_let_10793 (forall ((x |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.product_prod_nat_nat _u_(-> tptp.product_prod_nat_nat Bool Bool)_ tptp.product_prod_nat_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_10847 x z) (ho_10847 y z)))) (= x y))))) (let ((_let_10794 (forall ((u |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.int)|) (e |u_(-> Bool tptp.int)|) (i |u_(-> Bool tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.int)|)) (not (forall ((ii |u_(-> Bool tptp.nat)|)) (= (ho_15746 v ii) (ite (= i ii) e (ho_15746 u ii)))))))))) (let ((_let_10795 (forall ((x |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.int)|) (y |u_(-> _u_(-> Bool tptp.nat)_ Bool tptp.int)|)) (or (not (forall ((z |u_(-> Bool tptp.nat)|)) (= (ho_15746 x z) (ho_15746 y z)))) (= x y))))) (let ((_let_10796 (forall ((u |u_(-> tptp.product_prod_int_o Bool)|) (e Bool) (i tptp.product_prod_int_o)) (not (forall ((v |u_(-> tptp.product_prod_int_o Bool)|)) (not (forall ((ii tptp.product_prod_int_o)) (= (ho_14657 v ii) (ite (= i ii) e (ho_14657 u ii)))))))))) (let ((_let_10797 (forall ((x |u_(-> tptp.product_prod_int_o Bool)|) (y |u_(-> tptp.product_prod_int_o Bool)|)) (or (not (forall ((z tptp.product_prod_int_o)) (= (ho_14657 x z) (ho_14657 y z)))) (= x y))))) (let ((_let_10798 (forall ((u |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i tptp.produc3843707927480180839at_nat)) (not (forall ((v |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii tptp.produc3843707927480180839at_nat)) (= (ho_10862 v ii) (ite (= i ii) e (ho_10862 u ii)))))))))) (let ((_let_10799 (forall ((x |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> tptp.produc3843707927480180839at_nat _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z tptp.produc3843707927480180839at_nat)) (= (ho_10862 x z) (ho_10862 y z)))) (= x y))))) (let ((_let_10800 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_10907 v ii) (ite (= i ii) e (ho_10907 u ii)))))))))) (let ((_let_10801 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.product_prod_nat_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_10907 x z) (ho_10907 y z)))) (= x y))))) (let ((_let_10802 (forall ((u |u_(-> tptp.option_num tptp.num)|) (e tptp.num) (i tptp.option_num)) (not (forall ((v |u_(-> tptp.option_num tptp.num)|)) (not (forall ((ii tptp.option_num)) (= (ho_4590 v ii) (ite (= i ii) e (ho_4590 u ii)))))))))) (let ((_let_10803 (forall ((x |u_(-> tptp.option_num tptp.num)|) (y |u_(-> tptp.option_num tptp.num)|)) (or (not (forall ((z tptp.option_num)) (= (ho_4590 x z) (ho_4590 y z)))) (= x y))))) (let ((_let_10804 (forall ((u |u_(-> tptp.num tptp.num tptp.product_prod_num_num)|) (e |u_(-> tptp.num tptp.product_prod_num_num)|) (i tptp.num)) (not (forall ((v |u_(-> tptp.num tptp.num tptp.product_prod_num_num)|)) (not (forall ((ii tptp.num)) (= (ho_10668 v ii) (ite (= i ii) e (ho_10668 u ii)))))))))) (let ((_let_10805 (forall ((x |u_(-> tptp.num tptp.num tptp.product_prod_num_num)|) (y |u_(-> tptp.num tptp.num tptp.product_prod_num_num)|)) (or (not (forall ((z tptp.num)) (= (ho_10668 x z) (ho_10668 y z)))) (= x y))))) (let ((_let_10806 (forall ((u |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> Bool tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> Bool tptp.product_unit)|)) (= (ho_10922 v ii) (ite (= i ii) e (ho_10922 u ii)))))))))) (let ((_let_10807 (forall ((x |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> Bool tptp.product_unit)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> Bool tptp.product_unit)|)) (= (ho_10922 x z) (ho_10922 y z)))) (= x y))))) (let ((_let_10808 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_10931 v ii) (ite (= i ii) e (ho_10931 u ii)))))))))) (let ((_let_10809 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_10931 x z) (ho_10931 y z)))) (= x y))))) (let ((_let_10810 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10930 v ii) (ite (= i ii) e (ho_10930 u ii)))))))))) (let ((_let_10811 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.nat tptp.int)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10930 x z) (ho_10930 y z)))) (= x y))))) (let ((_let_10812 (forall ((u |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (i |u_(-> tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int Bool)|)) (= (ho_10934 v ii) (ite (= i ii) e (ho_10934 u ii)))))))))) (let ((_let_10813 (forall ((x |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int Bool)_ _u_(-> tptp.int tptp.int)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int Bool)|)) (= (ho_10934 x z) (ho_10934 y z)))) (= x y))))) (let ((_let_10814 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_10938 v ii) (ite (= i ii) e (ho_10938 u ii)))))))))) (let ((_let_10815 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_10938 x z) (ho_10938 y z)))) (= x y))))) (let ((_let_10816 (forall ((u |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.produc859450856879609959at_nat)) (not (forall ((v |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (not (forall ((ii tptp.produc859450856879609959at_nat)) (= (ho_5112 v ii) (ite (= i ii) e (ho_5112 u ii)))))))))) (let ((_let_10817 (forall ((x |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (y |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|)) (or (not (forall ((z tptp.produc859450856879609959at_nat)) (= (ho_5112 x z) (ho_5112 y z)))) (= x y))))) (let ((_let_10818 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_10937 v ii) (ite (= i ii) e (ho_10937 u ii)))))))))) (let ((_let_10819 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_10937 x z) (ho_10937 y z)))) (= x y))))) (let ((_let_10820 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (e |u_(-> _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_13965 v ii) (ite (= i ii) e (ho_13965 u ii)))))))))) (let ((_let_10821 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.int Bool)_ tptp.int tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_13965 x z) (ho_13965 y z)))) (= x y))))) (let ((_let_10822 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_10945 v ii) (ite (= i ii) e (ho_10945 u ii)))))))))) (let ((_let_10823 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_10945 x z) (ho_10945 y z)))) (= x y))))) (let ((_let_10824 (forall ((u |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (i |u_(-> tptp.rat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (not (forall ((ii |u_(-> tptp.rat tptp.nat)|)) (= (ho_10948 v ii) (ite (= i ii) e (ho_10948 u ii)))))))))) (let ((_let_10825 (forall ((x |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|) (y |u_(-> _u_(-> tptp.rat tptp.nat)_ _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.nat tptp.nat)_ tptp.nat tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.nat)|)) (= (ho_10948 x z) (ho_10948 y z)))) (= x y))))) (let ((_let_10826 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|) (e tptp.product_unit) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_15097 v ii) (ite (= i ii) e (ho_15097 u ii)))))))))) (let ((_let_10827 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|) (y |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_15097 x z) (ho_15097 y z)))) (= x y))))) (let ((_let_10828 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|) (e |u_(-> tptp.nat tptp.num)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_10960 v ii) (ite (= i ii) e (ho_10960 u ii)))))))))) (let ((_let_10829 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ tptp.nat tptp.num)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_10960 x z) (ho_10960 y z)))) (= x y))))) (let ((_let_10830 (forall ((u |u_(-> _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (e tptp.set_Pr6200539531224447659at_num) (i |u_(-> Bool tptp.num)|)) (not (forall ((v |u_(-> _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (not (forall ((ii |u_(-> Bool tptp.num)|)) (= (ho_12075 v ii) (ite (= i ii) e (ho_12075 u ii)))))))))) (let ((_let_10831 (forall ((x |u_(-> _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|) (y |u_(-> _u_(-> Bool tptp.num)_ tptp.set_Pr6200539531224447659at_num)|)) (or (not (forall ((z |u_(-> Bool tptp.num)|)) (= (ho_12075 x z) (ho_12075 y z)))) (= x y))))) (let ((_let_10832 (forall ((u |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (e |u_(-> _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (i |u_(-> tptp.rat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (not (forall ((ii |u_(-> tptp.rat Bool)|)) (= (ho_10963 v ii) (ite (= i ii) e (ho_10963 u ii)))))))))) (let ((_let_10833 (forall ((x |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|) (y |u_(-> _u_(-> tptp.rat Bool)_ _u_(-> Bool tptp.rat)_ _u_(-> tptp.nat Bool)_ tptp.nat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat Bool)|)) (= (ho_10963 x z) (ho_10963 y z)))) (= x y))))) (let ((_let_10834 (forall ((u |u_(-> tptp.set_int_nat tptp.set_int_rat)|) (e tptp.set_int_rat) (i tptp.set_int_nat)) (not (forall ((v |u_(-> tptp.set_int_nat tptp.set_int_rat)|)) (not (forall ((ii tptp.set_int_nat)) (= (ho_15789 v ii) (ite (= i ii) e (ho_15789 u ii)))))))))) (let ((_let_10835 (forall ((x |u_(-> tptp.set_int_nat tptp.set_int_rat)|) (y |u_(-> tptp.set_int_nat tptp.set_int_rat)|)) (or (not (forall ((z tptp.set_int_nat)) (= (ho_15789 x z) (ho_15789 y z)))) (= x y))))) (let ((_let_10836 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_15786 v ii) (ite (= i ii) e (ho_15786 u ii)))))))))) (let ((_let_10837 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_15786 x z) (ho_15786 y z)))) (= x y))))) (let ((_let_10838 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_15785 v ii) (ite (= i ii) e (ho_15785 u ii)))))))))) (let ((_let_10839 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_15785 x z) (ho_15785 y z)))) (= x y))))) (let ((_let_10840 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)_ tptp.set_int_nat tptp.set_int_rat)|) (e |u_(-> tptp.set_int_nat tptp.set_int_rat)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)_ tptp.set_int_nat tptp.set_int_rat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (= (ho_15788 v ii) (ite (= i ii) e (ho_15788 u ii)))))))))) (let ((_let_10841 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)_ tptp.set_int_nat tptp.set_int_rat)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)_ tptp.set_int_nat tptp.set_int_rat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.rat)|)) (= (ho_15788 x z) (ho_15788 y z)))) (= x y))))) (let ((_let_10842 (forall ((u |u_(-> tptp.set_int_nat tptp.set_int_nat)|) (e tptp.set_int_nat) (i tptp.set_int_nat)) (not (forall ((v |u_(-> tptp.set_int_nat tptp.set_int_nat)|)) (not (forall ((ii tptp.set_int_nat)) (= (ho_15796 v ii) (ite (= i ii) e (ho_15796 u ii)))))))))) (let ((_let_10843 (forall ((x |u_(-> tptp.set_int_nat tptp.set_int_nat)|) (y |u_(-> tptp.set_int_nat tptp.set_int_nat)|)) (or (not (forall ((z tptp.set_int_nat)) (= (ho_15796 x z) (ho_15796 y z)))) (= x y))))) (let ((_let_10844 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_15792 v ii) (ite (= i ii) e (ho_15792 u ii)))))))))) (let ((_let_10845 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_15792 x z) (ho_15792 y z)))) (= x y))))) (let ((_let_10846 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii tptp.set_int)) (= (ho_15791 v ii) (ite (= i ii) e (ho_15791 u ii)))))))))) (let ((_let_10847 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15791 x z) (ho_15791 y z)))) (= x y))))) (let ((_let_10848 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ tptp.set_int_nat tptp.set_int_nat)|) (e |u_(-> tptp.set_int_nat tptp.set_int_nat)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ tptp.set_int_nat tptp.set_int_nat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (= (ho_15795 v ii) (ite (= i ii) e (ho_15795 u ii)))))))))) (let ((_let_10849 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ tptp.set_int_nat tptp.set_int_nat)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)_ tptp.set_int_nat tptp.set_int_nat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.nat)|)) (= (ho_15795 x z) (ho_15795 y z)))) (= x y))))) (let ((_let_10850 (forall ((u |u_(-> tptp.set_int tptp.set_int_int)|) (e tptp.set_int_int) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_int_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15799 v ii) (ite (= i ii) e (ho_15799 u ii)))))))))) (let ((_let_10851 (forall ((x |u_(-> tptp.set_int tptp.set_int_int)|) (y |u_(-> tptp.set_int tptp.set_int_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15799 x z) (ho_15799 y z)))) (= x y))))) (let ((_let_10852 (forall ((u |u_(-> tptp.set_int tptp.set_int tptp.set_int_int)|) (e |u_(-> tptp.set_int tptp.set_int_int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int tptp.set_int tptp.set_int_int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15798 v ii) (ite (= i ii) e (ho_15798 u ii)))))))))) (let ((_let_10853 (forall ((x |u_(-> tptp.set_int tptp.set_int tptp.set_int_int)|) (y |u_(-> tptp.set_int tptp.set_int tptp.set_int_int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15798 x z) (ho_15798 y z)))) (= x y))))) (let ((_let_10854 (forall ((u |u_(-> tptp.set_int_nat tptp.set_int_int)|) (e tptp.set_int_int) (i tptp.set_int_nat)) (not (forall ((v |u_(-> tptp.set_int_nat tptp.set_int_int)|)) (not (forall ((ii tptp.set_int_nat)) (= (ho_15806 v ii) (ite (= i ii) e (ho_15806 u ii)))))))))) (let ((_let_10855 (forall ((x |u_(-> tptp.set_int_nat tptp.set_int_int)|) (y |u_(-> tptp.set_int_nat tptp.set_int_int)|)) (or (not (forall ((z tptp.set_int_nat)) (= (ho_15806 x z) (ho_15806 y z)))) (= x y))))) (let ((_let_10856 (forall ((u |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)_ tptp.set_int_nat tptp.set_int_int)|) (e |u_(-> tptp.set_int_nat tptp.set_int_int)|) (i |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)_ tptp.set_int_nat tptp.set_int_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (= (ho_15805 v ii) (ite (= i ii) e (ho_15805 u ii)))))))))) (let ((_let_10857 (forall ((x |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)_ tptp.set_int_nat tptp.set_int_int)|) (y |u_(-> _u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)_ tptp.set_int_nat tptp.set_int_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.int tptp.nat)_ tptp.int tptp.int)|)) (= (ho_15805 x z) (ho_15805 y z)))) (= x y))))) (let ((_let_10858 (forall ((u |u_(-> tptp.set_int_int tptp.set_int_int)|) (e tptp.set_int_int) (i tptp.set_int_int)) (not (forall ((v |u_(-> tptp.set_int_int tptp.set_int_int)|)) (not (forall ((ii tptp.set_int_int)) (= (ho_15817 v ii) (ite (= i ii) e (ho_15817 u ii)))))))))) (let ((_let_10859 (forall ((x |u_(-> tptp.set_int_int tptp.set_int_int)|) (y |u_(-> tptp.set_int_int tptp.set_int_int)|)) (or (not (forall ((z tptp.set_int_int)) (= (ho_15817 x z) (ho_15817 y z)))) (= x y))))) (let ((_let_10860 (forall ((u |u_(-> tptp.set_nat tptp.set_nat_nat)|) (e tptp.set_nat_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15820 v ii) (ite (= i ii) e (ho_15820 u ii)))))))))) (let ((_let_10861 (forall ((x |u_(-> tptp.set_nat tptp.set_nat_nat)|) (y |u_(-> tptp.set_nat tptp.set_nat_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15820 x z) (ho_15820 y z)))) (= x y))))) (let ((_let_10862 (forall ((u |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat_nat)|) (e |u_(-> tptp.set_nat tptp.set_nat_nat)|) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15819 v ii) (ite (= i ii) e (ho_15819 u ii)))))))))) (let ((_let_10863 (forall ((x |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat_nat)|) (y |u_(-> tptp.set_nat tptp.set_nat tptp.set_nat_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15819 x z) (ho_15819 y z)))) (= x y))))) (let ((_let_10864 (forall ((u |u_(-> tptp.set_nat_nat tptp.set_int_rat)|) (e tptp.set_int_rat) (i tptp.set_nat_nat)) (not (forall ((v |u_(-> tptp.set_nat_nat tptp.set_int_rat)|)) (not (forall ((ii tptp.set_nat_nat)) (= (ho_15827 v ii) (ite (= i ii) e (ho_15827 u ii)))))))))) (let ((_let_10865 (forall ((x |u_(-> tptp.set_nat_nat tptp.set_int_rat)|) (y |u_(-> tptp.set_nat_nat tptp.set_int_rat)|)) (or (not (forall ((z tptp.set_nat_nat)) (= (ho_15827 x z) (ho_15827 y z)))) (= x y))))) (let ((_let_10866 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15824 v ii) (ite (= i ii) e (ho_15824 u ii)))))))))) (let ((_let_10867 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15824 x z) (ho_15824 y z)))) (= x y))))) (let ((_let_10868 (forall ((u |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (i |u_(-> tptp.nat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.rat)|)) (= (ho_15823 v ii) (ite (= i ii) e (ho_15823 u ii)))))))))) (let ((_let_10869 (forall ((x |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|) (y |u_(-> _u_(-> tptp.nat tptp.rat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.rat)|)) (= (ho_15823 x z) (ho_15823 y z)))) (= x y))))) (let ((_let_10870 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)_ tptp.set_nat_nat tptp.set_int_rat)|) (e |u_(-> tptp.set_nat_nat tptp.set_int_rat)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)_ tptp.set_nat_nat tptp.set_int_rat)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (= (ho_15826 v ii) (ite (= i ii) e (ho_15826 u ii)))))))))) (let ((_let_10871 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)_ tptp.set_nat_nat tptp.set_int_rat)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)_ tptp.set_nat_nat tptp.set_int_rat)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.rat)|)) (= (ho_15826 x z) (ho_15826 y z)))) (= x y))))) (let ((_let_10872 (forall ((u |u_(-> tptp.set_nat_nat tptp.set_int_nat)|) (e tptp.set_int_nat) (i tptp.set_nat_nat)) (not (forall ((v |u_(-> tptp.set_nat_nat tptp.set_int_nat)|)) (not (forall ((ii tptp.set_nat_nat)) (= (ho_15834 v ii) (ite (= i ii) e (ho_15834 u ii)))))))))) (let ((_let_10873 (forall ((x |u_(-> tptp.set_nat_nat tptp.set_int_nat)|) (y |u_(-> tptp.set_nat_nat tptp.set_int_nat)|)) (or (not (forall ((z tptp.set_nat_nat)) (= (ho_15834 x z) (ho_15834 y z)))) (= x y))))) (let ((_let_10874 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16011 v ii) (ite (= i ii) e (ho_16011 u ii)))))))))) (let ((_let_10875 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16011 x z) (ho_16011 y z)))) (= x y))))) (let ((_let_10876 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15831 v ii) (ite (= i ii) e (ho_15831 u ii)))))))))) (let ((_let_10877 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15831 x z) (ho_15831 y z)))) (= x y))))) (let ((_let_10878 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_15830 v ii) (ite (= i ii) e (ho_15830 u ii)))))))))) (let ((_let_10879 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_15830 x z) (ho_15830 y z)))) (= x y))))) (let ((_let_10880 (forall ((u |u_(-> tptp.set_nat_nat tptp.set_int_int)|) (e tptp.set_int_int) (i tptp.set_nat_nat)) (not (forall ((v |u_(-> tptp.set_nat_nat tptp.set_int_int)|)) (not (forall ((ii tptp.set_nat_nat)) (= (ho_15841 v ii) (ite (= i ii) e (ho_15841 u ii)))))))))) (let ((_let_10881 (forall ((x |u_(-> tptp.set_nat_nat tptp.set_int_int)|) (y |u_(-> tptp.set_nat_nat tptp.set_int_int)|)) (or (not (forall ((z tptp.set_nat_nat)) (= (ho_15841 x z) (ho_15841 y z)))) (= x y))))) (let ((_let_10882 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_16010 v ii) (ite (= i ii) e (ho_16010 u ii)))))))))) (let ((_let_10883 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_16010 x z) (ho_16010 y z)))) (= x y))))) (let ((_let_10884 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15838 v ii) (ite (= i ii) e (ho_15838 u ii)))))))))) (let ((_let_10885 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15838 x z) (ho_15838 y z)))) (= x y))))) (let ((_let_10886 (forall ((u |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (i tptp.set_int)) (not (forall ((v |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((ii tptp.set_int)) (= (ho_15836 v ii) (ite (= i ii) e (ho_15836 u ii)))))))))) (let ((_let_10887 (forall ((x |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|) (y |u_(-> tptp.set_int _u_(-> tptp.nat tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (or (not (forall ((z tptp.set_int)) (= (ho_15836 x z) (ho_15836 y z)))) (= x y))))) (let ((_let_10888 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)_ tptp.set_nat_nat tptp.set_int_int)|) (e |u_(-> tptp.set_nat_nat tptp.set_int_int)|) (i |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)_ tptp.set_nat_nat tptp.set_int_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (= (ho_15840 v ii) (ite (= i ii) e (ho_15840 u ii)))))))))) (let ((_let_10889 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)_ tptp.set_nat_nat tptp.set_int_int)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)_ tptp.set_nat_nat tptp.set_int_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.int tptp.int)|)) (= (ho_15840 x z) (ho_15840 y z)))) (= x y))))) (let ((_let_10890 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15845 v ii) (ite (= i ii) e (ho_15845 u ii)))))))))) (let ((_let_10891 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15845 x z) (ho_15845 y z)))) (= x y))))) (let ((_let_10892 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15844 v ii) (ite (= i ii) e (ho_15844 u ii)))))))))) (let ((_let_10893 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15844 x z) (ho_15844 y z)))) (= x y))))) (let ((_let_10894 (forall ((u |u_(-> tptp.set_nat_int tptp.set_int_int)|) (e tptp.set_int_int) (i tptp.set_nat_int)) (not (forall ((v |u_(-> tptp.set_nat_int tptp.set_int_int)|)) (not (forall ((ii tptp.set_nat_int)) (= (ho_15855 v ii) (ite (= i ii) e (ho_15855 u ii)))))))))) (let ((_let_10895 (forall ((x |u_(-> tptp.set_nat_int tptp.set_int_int)|) (y |u_(-> tptp.set_nat_int tptp.set_int_int)|)) (or (not (forall ((z tptp.set_nat_int)) (= (ho_15855 x z) (ho_15855 y z)))) (= x y))))) (let ((_let_10896 (forall ((u |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (e |u_(-> tptp.int tptp.int)|) (i |u_(-> tptp.nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.nat tptp.int)|)) (= (ho_16009 v ii) (ite (= i ii) e (ho_16009 u ii)))))))))) (let ((_let_10897 (forall ((x |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.int)|)) (= (ho_16009 x z) (ho_16009 y z)))) (= x y))))) (let ((_let_10898 (forall ((u |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.nat)|)) (= (ho_15852 v ii) (ite (= i ii) e (ho_15852 u ii)))))))))) (let ((_let_10899 (forall ((x |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.nat)|)) (= (ho_15852 x z) (ho_15852 y z)))) (= x y))))) (let ((_let_10900 (forall ((u |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (e |u_(-> _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (i |u_(-> tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (not (forall ((ii |u_(-> tptp.int tptp.int)|)) (= (ho_15851 v ii) (ite (= i ii) e (ho_15851 u ii)))))))))) (let ((_let_10901 (forall ((x |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|) (y |u_(-> _u_(-> tptp.int tptp.int)_ _u_(-> tptp.int tptp.nat)_ _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (or (not (forall ((z |u_(-> tptp.int tptp.int)|)) (= (ho_15851 x z) (ho_15851 y z)))) (= x y))))) (let ((_let_10902 (forall ((u |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)_ tptp.set_nat_int tptp.set_int_int)|) (e |u_(-> tptp.set_nat_int tptp.set_int_int)|) (i |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)_ tptp.set_nat_int tptp.set_int_int)|)) (not (forall ((ii |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (= (ho_15854 v ii) (ite (= i ii) e (ho_15854 u ii)))))))))) (let ((_let_10903 (forall ((x |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)_ tptp.set_nat_int tptp.set_int_int)|) (y |u_(-> _u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)_ tptp.set_nat_int tptp.set_int_int)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.nat tptp.int)_ tptp.int tptp.int)|)) (= (ho_15854 x z) (ho_15854 y z)))) (= x y))))) (let ((_let_10904 (forall ((u |u_(-> tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_Product_unit)) (not (forall ((v |u_(-> tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_Product_unit)) (= (ho_15863 v ii) (ite (= i ii) e (ho_15863 u ii)))))))))) (let ((_let_10905 (forall ((x |u_(-> tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_Product_unit tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_Product_unit)) (= (ho_15863 x z) (ho_15863 y z)))) (= x y))))) (let ((_let_10906 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (= (ho_15866 v ii) (ite (= i ii) e (ho_15866 u ii)))))))))) (let ((_let_10907 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_unit)_ tptp.set_Pr1261947904930325089at_nat tptp.set_Product_unit)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_unit)|)) (= (ho_15866 x z) (ho_15866 y z)))) (= x y))))) (let ((_let_10908 (forall ((u |u_(-> tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (e tptp.set_Pr1261947904930325089at_nat) (i tptp.set_o)) (not (forall ((v |u_(-> tptp.set_o tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii tptp.set_o)) (= (ho_15870 v ii) (ite (= i ii) e (ho_15870 u ii)))))))))) (let ((_let_10909 (forall ((x |u_(-> tptp.set_o tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> tptp.set_o tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z tptp.set_o)) (= (ho_15870 x z) (ho_15870 y z)))) (= x y))))) (let ((_let_10910 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (e |u_(-> tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_15872 v ii) (ite (= i ii) e (ho_15872 u ii)))))))))) (let ((_let_10911 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.int)_ tptp.set_int tptp.set_Pr1261947904930325089at_nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.int)|)) (= (ho_15872 x z) (ho_15872 y z)))) (= x y))))) (let ((_let_10912 (forall ((u |u_(-> tptp.product_prod_nat_num tptp.set_num)|) (e tptp.set_num) (i tptp.product_prod_nat_num)) (not (forall ((v |u_(-> tptp.product_prod_nat_num tptp.set_num)|)) (not (forall ((ii tptp.product_prod_nat_num)) (= (ho_15876 v ii) (ite (= i ii) e (ho_15876 u ii)))))))))) (let ((_let_10913 (forall ((x |u_(-> tptp.product_prod_nat_num tptp.set_num)|) (y |u_(-> tptp.product_prod_nat_num tptp.set_num)|)) (or (not (forall ((z tptp.product_prod_nat_num)) (= (ho_15876 x z) (ho_15876 y z)))) (= x y))))) (let ((_let_10914 (forall ((u |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (e |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (i tptp.set_Pr5564308138774400199at_nat)) (not (forall ((v |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|)) (not (forall ((ii tptp.set_Pr5564308138774400199at_nat)) (= (ho_15880 v ii) (ite (= i ii) e (ho_15880 u ii)))))))))) (let ((_let_10915 (forall ((x |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|) (y |u_(-> tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat tptp.set_Pr5564308138774400199at_nat)|)) (or (not (forall ((z tptp.set_Pr5564308138774400199at_nat)) (= (ho_15880 x z) (ho_15880 y z)))) (= x y))))) (let ((_let_10916 (forall ((u |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat Bool)|) (e |u_(-> tptp.set_se5479201105039950375at_nat Bool)|) (i tptp.set_se5479201105039950375at_nat)) (not (forall ((v |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat Bool)|)) (not (forall ((ii tptp.set_se5479201105039950375at_nat)) (= (ho_15890 v ii) (ite (= i ii) e (ho_15890 u ii)))))))))) (let ((_let_10917 (forall ((x |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat Bool)|) (y |u_(-> tptp.set_se5479201105039950375at_nat tptp.set_se5479201105039950375at_nat Bool)|)) (or (not (forall ((z tptp.set_se5479201105039950375at_nat)) (= (ho_15890 x z) (ho_15890 y z)))) (= x y))))) (let ((_let_10918 (forall ((u |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit Bool)|) (e |u_(-> tptp.set_Pr5094982260447487303t_unit Bool)|) (i tptp.produc8459935480633519975t_unit)) (not (forall ((v |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit Bool)|)) (not (forall ((ii tptp.produc8459935480633519975t_unit)) (= (ho_15897 v ii) (ite (= i ii) e (ho_15897 u ii)))))))))) (let ((_let_10919 (forall ((x |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit Bool)|) (y |u_(-> tptp.produc8459935480633519975t_unit tptp.set_Pr5094982260447487303t_unit Bool)|)) (or (not (forall ((z tptp.produc8459935480633519975t_unit)) (= (ho_15897 x z) (ho_15897 y z)))) (= x y))))) (let ((_let_10920 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (e |u_(-> tptp.set_Pr1261947904930325089at_nat Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15906 v ii) (ite (= i ii) e (ho_15906 u ii)))))))))) (let ((_let_10921 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.set_Pr1261947904930325089at_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15906 x z) (ho_15906 y z)))) (= x y))))) (let ((_let_10922 (forall ((u |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|) (e |u_(-> tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|) (i tptp.heap_e7401611519738050253t_unit)) (not (forall ((v |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|)) (not (forall ((ii tptp.heap_e7401611519738050253t_unit)) (= (ho_15911 v ii) (ite (= i ii) e (ho_15911 u ii)))))))))) (let ((_let_10923 (forall ((x |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|) (y |u_(-> tptp.heap_e7401611519738050253t_unit tptp.set_he8644174446132254637t_unit tptp.set_he8644174446132254637t_unit)|)) (or (not (forall ((z tptp.heap_e7401611519738050253t_unit)) (= (ho_15911 x z) (ho_15911 y z)))) (= x y))))) (let ((_let_10924 (forall ((u |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i |u_(-> tptp.char tptp.char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.char)|)) (= (ho_15914 v ii) (ite (= i ii) e (ho_15914 u ii)))))))))) (let ((_let_10925 (forall ((x |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char Bool)|) (y |u_(-> _u_(-> tptp.char tptp.char)_ tptp.set_char Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.char)|)) (= (ho_15914 x z) (ho_15914 y z)))) (= x y))))) (let ((_let_10926 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat Bool)|) (e |u_(-> tptp.set_list_nat Bool)|) (i |u_(-> tptp.list_nat tptp.list_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat Bool)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.list_nat)|)) (= (ho_15917 v ii) (ite (= i ii) e (ho_15917 u ii)))))))))) (let ((_let_10927 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat Bool)|) (y |u_(-> _u_(-> tptp.list_nat tptp.list_nat)_ tptp.set_list_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.list_nat)|)) (= (ho_15917 x z) (ho_15917 y z)))) (= x y))))) (let ((_let_10928 (forall ((u |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat Bool)|) (e |u_(-> tptp.set_rat Bool)|) (i |u_(-> tptp.rat tptp.rat)|)) (not (forall ((v |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat Bool)|)) (not (forall ((ii |u_(-> tptp.rat tptp.rat)|)) (= (ho_15920 v ii) (ite (= i ii) e (ho_15920 u ii)))))))))) (let ((_let_10929 (forall ((x |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat Bool)|) (y |u_(-> _u_(-> tptp.rat tptp.rat)_ tptp.set_rat Bool)|)) (or (not (forall ((z |u_(-> tptp.rat tptp.rat)|)) (= (ho_15920 x z) (ho_15920 y z)))) (= x y))))) (let ((_let_10930 (forall ((u |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat Bool)|) (e |u_(-> tptp.set_nat tptp.set_nat Bool)|) (i |u_(-> tptp.nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat tptp.nat)|)) (= (ho_15929 v ii) (ite (= i ii) e (ho_15929 u ii)))))))))) (let ((_let_10931 (forall ((x |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat Bool)|) (y |u_(-> _u_(-> tptp.nat tptp.nat)_ tptp.set_nat tptp.set_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.nat)|)) (= (ho_15929 x z) (ho_15929 y z)))) (= x y))))) (let ((_let_10932 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_15935 v ii) (ite (= i ii) e (ho_15935 u ii)))))))))) (let ((_let_10933 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_15935 x z) (ho_15935 y z)))) (= x y))))) (let ((_let_10934 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_15934 v ii) (ite (= i ii) e (ho_15934 u ii)))))))))) (let ((_let_10935 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|)) (= (ho_15934 x z) (ho_15934 y z)))) (= x y))))) (let ((_let_10936 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_15933 v ii) (ite (= i ii) e (ho_15933 u ii)))))))))) (let ((_let_10937 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (= (ho_15933 x z) (ho_15933 y z)))) (= x y))))) (let ((_let_10938 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15932 v ii) (ite (= i ii) e (ho_15932 u ii)))))))))) (let ((_let_10939 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15932 x z) (ho_15932 y z)))) (= x y))))) (let ((_let_10940 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> tptp.int tptp.nat)|) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15939 v ii) (ite (= i ii) e (ho_15939 u ii)))))))))) (let ((_let_10941 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15939 x z) (ho_15939 y z)))) (= x y))))) (let ((_let_10942 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (e |u_(-> _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15937 v ii) (ite (= i ii) e (ho_15937 u ii)))))))))) (let ((_let_10943 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> tptp.nat tptp.nat)_ _u_(-> tptp.product_prod_nat_nat tptp.nat)_ tptp.int tptp.nat)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15937 x z) (ho_15937 y z)))) (= x y))))) (let ((_let_10944 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_16008 v ii) (ite (= i ii) e (ho_16008 u ii)))))))))) (let ((_let_10945 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_16008 x z) (ho_16008 y z)))) (= x y))))) (let ((_let_10946 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_15942 v ii) (ite (= i ii) e (ho_15942 u ii)))))))))) (let ((_let_10947 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_15942 x z) (ho_15942 y z)))) (= x y))))) (let ((_let_10948 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15941 v ii) (ite (= i ii) e (ho_15941 u ii)))))))))) (let ((_let_10949 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> Bool Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15941 x z) (ho_15941 y z)))) (= x y))))) (let ((_let_10950 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15944 v ii) (ite (= i ii) e (ho_15944 u ii)))))))))) (let ((_let_10951 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15944 x z) (ho_15944 y z)))) (= x y))))) (let ((_let_10952 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (e Bool) (i |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15948 v ii) (ite (= i ii) e (ho_15948 u ii)))))))))) (let ((_let_10953 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.nat)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.nat)|)) (= (ho_15948 x z) (ho_15948 y z)))) (= x y))))) (let ((_let_10954 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> tptp.int tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15956 v ii) (ite (= i ii) e (ho_15956 u ii)))))))))) (let ((_let_10955 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|)) (= (ho_15956 x z) (ho_15956 y z)))) (= x y))))) (let ((_let_10956 (forall ((u |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (e |u_(-> tptp.int Bool)|) (i |u_(-> tptp.product_prod_nat_nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_16007 v ii) (ite (= i ii) e (ho_16007 u ii)))))))))) (let ((_let_10957 (forall ((x |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.product_prod_nat_nat Bool)|)) (= (ho_16007 x z) (ho_16007 y z)))) (= x y))))) (let ((_let_10958 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (e |u_(-> _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15951 v ii) (ite (= i ii) e (ho_15951 u ii)))))))))) (let ((_let_10959 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> Bool Bool)_ _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15951 x z) (ho_15951 y z)))) (= x y))))) (let ((_let_10960 (forall ((u |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (= (ho_15955 v ii) (ite (= i ii) e (ho_15955 u ii)))))))))) (let ((_let_10961 (forall ((x |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)|)) (= (ho_15955 x z) (ho_15955 y z)))) (= x y))))) (let ((_let_10962 (forall ((u |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (i |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|)) (not (forall ((ii |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15954 v ii) (ite (= i ii) e (ho_15954 u ii)))))))))) (let ((_let_10963 (forall ((x |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|) (y |u_(-> _u_(-> tptp.int tptp.product_prod_nat_nat)_ _u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.int Bool)_ _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)_ tptp.int tptp.int Bool)|)) (or (not (forall ((z |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_15954 x z) (ho_15954 y z)))) (= x y))))) (let ((_let_10964 (forall ((u |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (i tptp.product_prod_int_int)) (not (forall ((v |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii tptp.product_prod_int_int)) (= (ho_15969 v ii) (ite (= i ii) e (ho_15969 u ii)))))))))) (let ((_let_10965 (forall ((x |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z tptp.product_prod_int_int)) (= (ho_15969 x z) (ho_15969 y z)))) (= x y))))) (let ((_let_10966 (forall ((u |u_(-> Bool tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|) (e |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|)) (not (forall ((ii Bool)) (= (ho_15968 v ii) (ite (= i ii) e (ho_15968 u ii)))))))))) (let ((_let_10967 (forall ((x |u_(-> Bool tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|) (y |u_(-> Bool tptp.product_prod_int_int tptp.product_prod_int_int tptp.product_prod_int_int)|)) (or (not (forall ((z Bool)) (= (ho_15968 x z) (ho_15968 y z)))) (= x y))))) (let ((_let_10968 (forall ((u |u_(-> tptp.product_prod_nat_nat tptp.list_nat)|) (e tptp.list_nat) (i tptp.product_prod_nat_nat)) (not (forall ((v |u_(-> tptp.product_prod_nat_nat tptp.list_nat)|)) (not (forall ((ii tptp.product_prod_nat_nat)) (= (ho_15974 v ii) (ite (= i ii) e (ho_15974 u ii)))))))))) (let ((_let_10969 (forall ((x |u_(-> tptp.product_prod_nat_nat tptp.list_nat)|) (y |u_(-> tptp.product_prod_nat_nat tptp.list_nat)|)) (or (not (forall ((z tptp.product_prod_nat_nat)) (= (ho_15974 x z) (ho_15974 y z)))) (= x y))))) (let ((_let_10970 (forall ((u |u_(-> tptp.set_nat tptp.set_Sum_sum_nat_nat)|) (e tptp.set_Sum_sum_nat_nat) (i tptp.set_nat)) (not (forall ((v |u_(-> tptp.set_nat tptp.set_Sum_sum_nat_nat)|)) (not (forall ((ii tptp.set_nat)) (= (ho_15982 v ii) (ite (= i ii) e (ho_15982 u ii)))))))))) (let ((_let_10971 (forall ((x |u_(-> tptp.set_nat tptp.set_Sum_sum_nat_nat)|) (y |u_(-> tptp.set_nat tptp.set_Sum_sum_nat_nat)|)) (or (not (forall ((z tptp.set_nat)) (= (ho_15982 x z) (ho_15982 y z)))) (= x y))))) (let ((_let_10972 (forall ((u |u_(-> tptp.nat tptp.sum_sum_nat_nat)|) (e tptp.sum_sum_nat_nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.sum_sum_nat_nat)|)) (not (forall ((ii tptp.nat)) (= (ho_15979 v ii) (ite (= i ii) e (ho_15979 u ii)))))))))) (let ((_let_10973 (forall ((x |u_(-> tptp.nat tptp.sum_sum_nat_nat)|) (y |u_(-> tptp.nat tptp.sum_sum_nat_nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_15979 x z) (ho_15979 y z)))) (= x y))))) (let ((_let_10974 (forall ((u |u_(-> _u_(-> tptp.nat tptp.sum_sum_nat_nat)_ tptp.set_nat tptp.set_Sum_sum_nat_nat)|) (e |u_(-> tptp.set_nat tptp.set_Sum_sum_nat_nat)|) (i |u_(-> tptp.nat tptp.sum_sum_nat_nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat tptp.sum_sum_nat_nat)_ tptp.set_nat tptp.set_Sum_sum_nat_nat)|)) (not (forall ((ii |u_(-> tptp.nat tptp.sum_sum_nat_nat)|)) (= (ho_15981 v ii) (ite (= i ii) e (ho_15981 u ii)))))))))) (let ((_let_10975 (forall ((x |u_(-> _u_(-> tptp.nat tptp.sum_sum_nat_nat)_ tptp.set_nat tptp.set_Sum_sum_nat_nat)|) (y |u_(-> _u_(-> tptp.nat tptp.sum_sum_nat_nat)_ tptp.set_nat tptp.set_Sum_sum_nat_nat)|)) (or (not (forall ((z |u_(-> tptp.nat tptp.sum_sum_nat_nat)|)) (= (ho_15981 x z) (ho_15981 y z)))) (= x y))))) (let ((_let_10976 (forall ((u |u_(-> tptp.set_Sum_sum_nat_nat tptp.set_nat)|) (e tptp.set_nat) (i tptp.set_Sum_sum_nat_nat)) (not (forall ((v |u_(-> tptp.set_Sum_sum_nat_nat tptp.set_nat)|)) (not (forall ((ii tptp.set_Sum_sum_nat_nat)) (= (ho_15987 v ii) (ite (= i ii) e (ho_15987 u ii)))))))))) (let ((_let_10977 (forall ((x |u_(-> tptp.set_Sum_sum_nat_nat tptp.set_nat)|) (y |u_(-> tptp.set_Sum_sum_nat_nat tptp.set_nat)|)) (or (not (forall ((z tptp.set_Sum_sum_nat_nat)) (= (ho_15987 x z) (ho_15987 y z)))) (= x y))))) (let ((_let_10978 (forall ((u |u_(-> tptp.sum_sum_nat_nat tptp.nat)|) (e tptp.nat) (i tptp.sum_sum_nat_nat)) (not (forall ((v |u_(-> tptp.sum_sum_nat_nat tptp.nat)|)) (not (forall ((ii tptp.sum_sum_nat_nat)) (= (ho_15984 v ii) (ite (= i ii) e (ho_15984 u ii)))))))))) (let ((_let_10979 (forall ((x |u_(-> tptp.sum_sum_nat_nat tptp.nat)|) (y |u_(-> tptp.sum_sum_nat_nat tptp.nat)|)) (or (not (forall ((z tptp.sum_sum_nat_nat)) (= (ho_15984 x z) (ho_15984 y z)))) (= x y))))) (let ((_let_10980 (forall ((u |u_(-> _u_(-> tptp.sum_sum_nat_nat tptp.nat)_ tptp.set_Sum_sum_nat_nat tptp.set_nat)|) (e |u_(-> tptp.set_Sum_sum_nat_nat tptp.set_nat)|) (i |u_(-> tptp.sum_sum_nat_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.sum_sum_nat_nat tptp.nat)_ tptp.set_Sum_sum_nat_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.sum_sum_nat_nat tptp.nat)|)) (= (ho_15986 v ii) (ite (= i ii) e (ho_15986 u ii)))))))))) (let ((_let_10981 (forall ((x |u_(-> _u_(-> tptp.sum_sum_nat_nat tptp.nat)_ tptp.set_Sum_sum_nat_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.sum_sum_nat_nat tptp.nat)_ tptp.set_Sum_sum_nat_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.sum_sum_nat_nat tptp.nat)|)) (= (ho_15986 x z) (ho_15986 y z)))) (= x y))))) (let ((_let_10982 (forall ((u |u_(-> _u_(-> tptp.list_nat tptp.nat)_ tptp.set_list_nat tptp.set_nat)|) (e |u_(-> tptp.set_list_nat tptp.set_nat)|) (i |u_(-> tptp.list_nat tptp.nat)|)) (not (forall ((v |u_(-> _u_(-> tptp.list_nat tptp.nat)_ tptp.set_list_nat tptp.set_nat)|)) (not (forall ((ii |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_15990 v ii) (ite (= i ii) e (ho_15990 u ii)))))))))) (let ((_let_10983 (forall ((x |u_(-> _u_(-> tptp.list_nat tptp.nat)_ tptp.set_list_nat tptp.set_nat)|) (y |u_(-> _u_(-> tptp.list_nat tptp.nat)_ tptp.set_list_nat tptp.set_nat)|)) (or (not (forall ((z |u_(-> tptp.list_nat tptp.nat)|)) (= (ho_15990 x z) (ho_15990 y z)))) (= x y))))) (let ((_let_10984 (forall ((u |u_(-> _u_(-> tptp.nat Bool)_ tptp.list_nat Bool)|) (e |u_(-> tptp.list_nat Bool)|) (i |u_(-> tptp.nat Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.nat Bool)_ tptp.list_nat Bool)|)) (not (forall ((ii |u_(-> tptp.nat Bool)|)) (= (ho_15996 v ii) (ite (= i ii) e (ho_15996 u ii)))))))))) (let ((_let_10985 (forall ((x |u_(-> _u_(-> tptp.nat Bool)_ tptp.list_nat Bool)|) (y |u_(-> _u_(-> tptp.nat Bool)_ tptp.list_nat Bool)|)) (or (not (forall ((z |u_(-> tptp.nat Bool)|)) (= (ho_15996 x z) (ho_15996 y z)))) (= x y))))) (let ((_let_10986 (forall ((u |u_(-> Bool tptp.code_integer tptp.code_integer tptp.code_integer)|) (e |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.code_integer tptp.code_integer tptp.code_integer)|)) (not (forall ((ii Bool)) (= (ho_15998 v ii) (ite (= i ii) e (ho_15998 u ii)))))))))) (let ((_let_10987 (forall ((x |u_(-> Bool tptp.code_integer tptp.code_integer tptp.code_integer)|) (y |u_(-> Bool tptp.code_integer tptp.code_integer tptp.code_integer)|)) (or (not (forall ((z Bool)) (= (ho_15998 x z) (ho_15998 y z)))) (= x y))))) (let ((_let_10988 (forall ((u |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (e tptp.produc6271795597528267376eger_o) (i tptp.produc6271795597528267376eger_o)) (not (forall ((v |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|)) (not (forall ((ii tptp.produc6271795597528267376eger_o)) (= (ho_16002 v ii) (ite (= i ii) e (ho_16002 u ii)))))))))) (let ((_let_10989 (forall ((x |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|) (y |u_(-> tptp.produc6271795597528267376eger_o tptp.produc6271795597528267376eger_o)|)) (or (not (forall ((z tptp.produc6271795597528267376eger_o)) (= (ho_16002 x z) (ho_16002 y z)))) (= x y))))) (let ((_let_10990 (forall ((u |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (e |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (i tptp.produc4675096598859438275atural)) (not (forall ((v |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|)) (not (forall ((ii tptp.produc4675096598859438275atural)) (= (ho_16005 v ii) (ite (= i ii) e (ho_16005 u ii)))))))))) (let ((_let_10991 (forall ((x |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|) (y |u_(-> tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural tptp.produc4675096598859438275atural)|)) (or (not (forall ((z tptp.produc4675096598859438275atural)) (= (ho_16005 x z) (ho_16005 y z)))) (= x y))))) (let ((_let_10992 (forall ((BOUND_VARIABLE_336242 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336243 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_336242) BOUND_VARIABLE_336243)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4502 BOUND_VARIABLE_336242) BOUND_VARIABLE_336243))))) (let ((_let_10993 (forall ((BOUND_VARIABLE_336229 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336230 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_336229) BOUND_VARIABLE_336230)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4505 BOUND_VARIABLE_336229) BOUND_VARIABLE_336230))))) (let ((_let_10994 (forall ((BOUND_VARIABLE_336216 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336217 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_336216) BOUND_VARIABLE_336217)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4506 BOUND_VARIABLE_336216) BOUND_VARIABLE_336217))))) (let ((_let_10995 (forall ((BOUND_VARIABLE_336203 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336204 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_336203) BOUND_VARIABLE_336204)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4507 BOUND_VARIABLE_336203) BOUND_VARIABLE_336204))))) (let ((_let_10996 (forall ((BOUND_VARIABLE_336190 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336191 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_336190) BOUND_VARIABLE_336191)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4508 BOUND_VARIABLE_336190) BOUND_VARIABLE_336191))))) (let ((_let_10997 (forall ((BOUND_VARIABLE_336177 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336178 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_336177) BOUND_VARIABLE_336178)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4509 BOUND_VARIABLE_336177) BOUND_VARIABLE_336178))))) (let ((_let_10998 (forall ((BOUND_VARIABLE_336164 tptp.nat) (BOUND_VARIABLE_336165 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_336164) BOUND_VARIABLE_336165)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4522 BOUND_VARIABLE_336164) BOUND_VARIABLE_336165))))) (let ((_let_10999 (forall ((BOUND_VARIABLE_336151 tptp.nat) (BOUND_VARIABLE_336152 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_336151) BOUND_VARIABLE_336152)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4525 BOUND_VARIABLE_336151) BOUND_VARIABLE_336152))))) (let ((_let_11000 (forall ((BOUND_VARIABLE_336144 tptp.num)) (= (ho_4527 k_4526 BOUND_VARIABLE_336144) (ho_4527 k_4530 (ho_4529 k_4528 BOUND_VARIABLE_336144)))))) (let ((_let_11001 (forall ((BOUND_VARIABLE_336111 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336112 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_336113 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_336113)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4502 BOUND_VARIABLE_336111)) BOUND_VARIABLE_336112))) (ho_4544 (ho_4543 (ho_4542 k_4541 BOUND_VARIABLE_336111) BOUND_VARIABLE_336112) BOUND_VARIABLE_336113))))) (let ((_let_11002 (forall ((BOUND_VARIABLE_336078 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336079 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_336080 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_336080)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4505 BOUND_VARIABLE_336078)) BOUND_VARIABLE_336079))) (ho_4544 (ho_4543 (ho_4542 k_4545 BOUND_VARIABLE_336078) BOUND_VARIABLE_336079) BOUND_VARIABLE_336080))))) (let ((_let_11003 (forall ((BOUND_VARIABLE_342592 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_336045 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336046 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_336046)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4506 BOUND_VARIABLE_336045)) (ho_4546 BOUND_VARIABLE_342592 BOUND_VARIABLE_336045)))) (ho_4544 (ho_4549 (ho_4548 k_4547 BOUND_VARIABLE_342592) BOUND_VARIABLE_336045) BOUND_VARIABLE_336046))))) (let ((_let_11004 (forall ((BOUND_VARIABLE_342620 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_336011 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336012 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_336012)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4507 BOUND_VARIABLE_336011)) (ho_4546 BOUND_VARIABLE_342620 BOUND_VARIABLE_336011)))) (ho_4544 (ho_4549 (ho_4548 k_4550 BOUND_VARIABLE_342620) BOUND_VARIABLE_336011) BOUND_VARIABLE_336012))))) (let ((_let_11005 (forall ((BOUND_VARIABLE_342647 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_342644 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_335999 tptp.nat) (BOUND_VARIABLE_336000 Bool)) (= (ho_4556 (ho_4555 (ho_4554 (ho_4553 k_4552 BOUND_VARIABLE_342647) BOUND_VARIABLE_342644) BOUND_VARIABLE_335999) BOUND_VARIABLE_336000) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_336000) (ho_4551 BOUND_VARIABLE_342647 BOUND_VARIABLE_335999)) (ho_4551 BOUND_VARIABLE_342644 BOUND_VARIABLE_335999)))))) (let ((_let_11006 (forall ((BOUND_VARIABLE_342685 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_335964 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335965 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_335965)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4508 BOUND_VARIABLE_335964)) (ho_4546 BOUND_VARIABLE_342685 BOUND_VARIABLE_335964)))) (ho_4544 (ho_4549 (ho_4548 k_4561 BOUND_VARIABLE_342685) BOUND_VARIABLE_335964) BOUND_VARIABLE_335965))))) (let ((_let_11007 (forall ((BOUND_VARIABLE_342704 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_335930 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335931 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_335931)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4509 BOUND_VARIABLE_335930)) (ho_4546 BOUND_VARIABLE_342704 BOUND_VARIABLE_335930)))) (ho_4544 (ho_4549 (ho_4548 k_4562 BOUND_VARIABLE_342704) BOUND_VARIABLE_335930) BOUND_VARIABLE_335931))))) (let ((_let_11008 (forall ((BOUND_VARIABLE_335894 tptp.nat) (BOUND_VARIABLE_342723 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_335896 tptp.nat) (BOUND_VARIABLE_335897 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_335897)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4522 BOUND_VARIABLE_335894)) (ho_4551 BOUND_VARIABLE_342723 BOUND_VARIABLE_335896)))) (ho_4575 (ho_4574 (ho_4573 (ho_4572 k_4571 BOUND_VARIABLE_335894) BOUND_VARIABLE_342723) BOUND_VARIABLE_335896) BOUND_VARIABLE_335897))))) (let ((_let_11009 (forall ((BOUND_VARIABLE_335881 tptp.nat) (BOUND_VARIABLE_335882 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335881) BOUND_VARIABLE_335882)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4576 BOUND_VARIABLE_335881) BOUND_VARIABLE_335882))))) (let ((_let_11010 (forall ((BOUND_VARIABLE_342788 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_335848 tptp.nat) (BOUND_VARIABLE_335849 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_335849)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4525 BOUND_VARIABLE_335848)) (ho_4551 BOUND_VARIABLE_342788 BOUND_VARIABLE_335848)))) (ho_4575 (ho_4574 (ho_4573 k_4577 BOUND_VARIABLE_342788) BOUND_VARIABLE_335848) BOUND_VARIABLE_335849))))) (let ((_let_11011 (forall ((BOUND_VARIABLE_335833 tptp.nat) (BOUND_VARIABLE_335834 tptp.num)) (= (ho_4583 (ho_4582 (ho_4581 k_4580 tptp.none_num) k_4526) (ho_4527 (ho_4579 k_4578 BOUND_VARIABLE_335833) BOUND_VARIABLE_335834)) (ho_4527 (ho_4579 k_4584 BOUND_VARIABLE_335833) BOUND_VARIABLE_335834))))) (let ((_let_11012 (forall ((BOUND_VARIABLE_335823 tptp.nat) (BOUND_VARIABLE_335824 tptp.num)) (= (ho_4527 (ho_4579 k_4585 BOUND_VARIABLE_335823) BOUND_VARIABLE_335824) (ho_4527 k_4530 (ho_4590 (ho_4589 (ho_4588 k_4587 tptp.one) k_4586) (ho_4527 (ho_4579 k_4578 BOUND_VARIABLE_335823) BOUND_VARIABLE_335824))))))) (let ((_let_11013 (forall ((BOUND_VARIABLE_335810 tptp.nat) (BOUND_VARIABLE_335811 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335810) BOUND_VARIABLE_335811)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4591 BOUND_VARIABLE_335810) BOUND_VARIABLE_335811))))) (let ((_let_11014 (forall ((BOUND_VARIABLE_335802 tptp.nat) (BOUND_VARIABLE_335803 tptp.nat)) (= (ho_4593 (ho_4511 k_4592 BOUND_VARIABLE_335802) BOUND_VARIABLE_335803) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_335803) BOUND_VARIABLE_335802))))) (let ((_let_11015 (forall ((BOUND_VARIABLE_335789 tptp.nat) (BOUND_VARIABLE_335790 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335789) BOUND_VARIABLE_335790)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4595 BOUND_VARIABLE_335789) BOUND_VARIABLE_335790))))) (let ((_let_11016 (forall ((BOUND_VARIABLE_335776 tptp.nat) (BOUND_VARIABLE_335777 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335776) BOUND_VARIABLE_335777)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4596 BOUND_VARIABLE_335776) BOUND_VARIABLE_335777))))) (let ((_let_11017 (forall ((BOUND_VARIABLE_335763 tptp.nat) (BOUND_VARIABLE_335764 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335763) BOUND_VARIABLE_335764)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4597 BOUND_VARIABLE_335763) BOUND_VARIABLE_335764))))) (let ((_let_11018 (forall ((BOUND_VARIABLE_335750 tptp.int) (BOUND_VARIABLE_335751 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_335750) BOUND_VARIABLE_335751)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4608 BOUND_VARIABLE_335750) BOUND_VARIABLE_335751))))) (let ((_let_11019 (forall ((BOUND_VARIABLE_335737 tptp.int) (BOUND_VARIABLE_335738 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_335737) BOUND_VARIABLE_335738)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4611 BOUND_VARIABLE_335737) BOUND_VARIABLE_335738))))) (let ((_let_11020 (forall ((BOUND_VARIABLE_335724 tptp.nat) (BOUND_VARIABLE_335725 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335724) BOUND_VARIABLE_335725)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4612 BOUND_VARIABLE_335724) BOUND_VARIABLE_335725))))) (let ((_let_11021 (forall ((BOUND_VARIABLE_335711 tptp.int) (BOUND_VARIABLE_335712 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_335711) BOUND_VARIABLE_335712)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4613 BOUND_VARIABLE_335711) BOUND_VARIABLE_335712))))) (let ((_let_11022 (forall ((BOUND_VARIABLE_335698 tptp.int) (BOUND_VARIABLE_335699 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_335698) BOUND_VARIABLE_335699)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4614 BOUND_VARIABLE_335698) BOUND_VARIABLE_335699))))) (let ((_let_11023 (forall ((BOUND_VARIABLE_335686 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_343007 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_335688 Bool) (BOUND_VARIABLE_335689 Bool)) (= (ho_4615 (ho_4619 (ho_4618 (ho_4617 k_4616 BOUND_VARIABLE_335686) BOUND_VARIABLE_343007) BOUND_VARIABLE_335688) BOUND_VARIABLE_335689) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335689) BOUND_VARIABLE_335686) (ho_4615 BOUND_VARIABLE_343007 BOUND_VARIABLE_335688)))))) (let ((_let_11024 (forall ((BOUND_VARIABLE_335674 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_343045 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_335676 tptp.product_unit) (BOUND_VARIABLE_335677 Bool)) (= (ho_4615 (ho_4627 (ho_4626 (ho_4625 k_4624 BOUND_VARIABLE_335674) BOUND_VARIABLE_343045) BOUND_VARIABLE_335676) BOUND_VARIABLE_335677) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335677) BOUND_VARIABLE_335674) (ho_4623 BOUND_VARIABLE_343045 BOUND_VARIABLE_335676)))))) (let ((_let_11025 (forall ((BOUND_VARIABLE_335662 tptp.set_nat) (BOUND_VARIABLE_343076 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_335664 tptp.product_prod_nat_nat) (BOUND_VARIABLE_335665 Bool)) (= (ho_4556 (ho_4632 (ho_4631 (ho_4630 k_4629 BOUND_VARIABLE_335662) BOUND_VARIABLE_343076) BOUND_VARIABLE_335664) BOUND_VARIABLE_335665) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335665) BOUND_VARIABLE_335662) (ho_4628 BOUND_VARIABLE_343076 BOUND_VARIABLE_335664)))))) (let ((_let_11026 (forall ((BOUND_VARIABLE_335650 tptp.set_nat) (BOUND_VARIABLE_343106 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_335652 tptp.nat) (BOUND_VARIABLE_335653 Bool)) (= (ho_4556 (ho_4555 (ho_4554 (ho_4634 k_4633 BOUND_VARIABLE_335650) BOUND_VARIABLE_343106) BOUND_VARIABLE_335652) BOUND_VARIABLE_335653) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335653) BOUND_VARIABLE_335650) (ho_4551 BOUND_VARIABLE_343106 BOUND_VARIABLE_335652)))))) (let ((_let_11027 (forall ((BOUND_VARIABLE_335638 tptp.set_nat) (BOUND_VARIABLE_343127 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_335640 Bool) (BOUND_VARIABLE_335641 Bool)) (= (ho_4556 (ho_4638 (ho_4637 (ho_4636 k_4635 BOUND_VARIABLE_335638) BOUND_VARIABLE_343127) BOUND_VARIABLE_335640) BOUND_VARIABLE_335641) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335641) BOUND_VARIABLE_335638) (ho_4556 BOUND_VARIABLE_343127 BOUND_VARIABLE_335640)))))) (let ((_let_11028 (forall ((BOUND_VARIABLE_335626 tptp.set_nat) (BOUND_VARIABLE_343156 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_335628 tptp.product_unit) (BOUND_VARIABLE_335629 Bool)) (= (ho_4556 (ho_4643 (ho_4642 (ho_4641 k_4640 BOUND_VARIABLE_335626) BOUND_VARIABLE_343156) BOUND_VARIABLE_335628) BOUND_VARIABLE_335629) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335629) BOUND_VARIABLE_335626) (ho_4639 BOUND_VARIABLE_343156 BOUND_VARIABLE_335628)))))) (let ((_let_11029 (forall ((BOUND_VARIABLE_343186 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_335615 Bool) (BOUND_VARIABLE_335616 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335617 Bool)) (= (ho_4615 (ho_4647 (ho_4646 (ho_4645 k_4644 BOUND_VARIABLE_343186) BOUND_VARIABLE_335615) BOUND_VARIABLE_335616) BOUND_VARIABLE_335617) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335617) (ho_4615 BOUND_VARIABLE_343186 BOUND_VARIABLE_335615)) BOUND_VARIABLE_335616))))) (let ((_let_11030 (forall ((BOUND_VARIABLE_343213 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_335603 tptp.product_unit) (BOUND_VARIABLE_335604 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335605 Bool)) (= (ho_4615 (ho_4647 (ho_4650 (ho_4649 k_4648 BOUND_VARIABLE_343213) BOUND_VARIABLE_335603) BOUND_VARIABLE_335604) BOUND_VARIABLE_335605) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335605) (ho_4623 BOUND_VARIABLE_343213 BOUND_VARIABLE_335603)) BOUND_VARIABLE_335604))))) (let ((_let_11031 (forall ((BOUND_VARIABLE_343237 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_335591 tptp.product_prod_nat_nat) (BOUND_VARIABLE_335592 tptp.set_nat) (BOUND_VARIABLE_335593 Bool)) (= (ho_4556 (ho_4654 (ho_4653 (ho_4652 k_4651 BOUND_VARIABLE_343237) BOUND_VARIABLE_335591) BOUND_VARIABLE_335592) BOUND_VARIABLE_335593) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335593) (ho_4628 BOUND_VARIABLE_343237 BOUND_VARIABLE_335591)) BOUND_VARIABLE_335592))))) (let ((_let_11032 (forall ((BOUND_VARIABLE_343264 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_335579 tptp.nat) (BOUND_VARIABLE_335580 tptp.set_nat) (BOUND_VARIABLE_335581 Bool)) (= (ho_4556 (ho_4654 (ho_4657 (ho_4656 k_4655 BOUND_VARIABLE_343264) BOUND_VARIABLE_335579) BOUND_VARIABLE_335580) BOUND_VARIABLE_335581) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335581) (ho_4551 BOUND_VARIABLE_343264 BOUND_VARIABLE_335579)) BOUND_VARIABLE_335580))))) (let ((_let_11033 (forall ((BOUND_VARIABLE_343288 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_335567 Bool) (BOUND_VARIABLE_335568 tptp.set_nat) (BOUND_VARIABLE_335569 Bool)) (= (ho_4556 (ho_4654 (ho_4660 (ho_4659 k_4658 BOUND_VARIABLE_343288) BOUND_VARIABLE_335567) BOUND_VARIABLE_335568) BOUND_VARIABLE_335569) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335569) (ho_4556 BOUND_VARIABLE_343288 BOUND_VARIABLE_335567)) BOUND_VARIABLE_335568))))) (let ((_let_11034 (forall ((BOUND_VARIABLE_343312 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_335555 tptp.product_unit) (BOUND_VARIABLE_335556 tptp.set_nat) (BOUND_VARIABLE_335557 Bool)) (= (ho_4556 (ho_4654 (ho_4663 (ho_4662 k_4661 BOUND_VARIABLE_343312) BOUND_VARIABLE_335555) BOUND_VARIABLE_335556) BOUND_VARIABLE_335557) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335557) (ho_4639 BOUND_VARIABLE_343312 BOUND_VARIABLE_335555)) BOUND_VARIABLE_335556))))) (let ((_let_11035 (forall ((BOUND_VARIABLE_335544 tptp.set_nat) (BOUND_VARIABLE_335545 tptp.set_nat) (BOUND_VARIABLE_335546 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_4664 BOUND_VARIABLE_335544) BOUND_VARIABLE_335545) BOUND_VARIABLE_335546) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335546) BOUND_VARIABLE_335544) BOUND_VARIABLE_335545))))) (let ((_let_11036 (forall ((BOUND_VARIABLE_335534 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335535 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335536 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_4666 BOUND_VARIABLE_335534) BOUND_VARIABLE_335535) BOUND_VARIABLE_335536) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335536) BOUND_VARIABLE_335534) BOUND_VARIABLE_335535))))) (let ((_let_11037 (forall ((BOUND_VARIABLE_335524 tptp.set_nat) (BOUND_VARIABLE_335525 tptp.set_nat) (BOUND_VARIABLE_335526 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_4668 BOUND_VARIABLE_335524) BOUND_VARIABLE_335525) BOUND_VARIABLE_335526) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335526) BOUND_VARIABLE_335524) BOUND_VARIABLE_335525))))) (let ((_let_11038 (forall ((BOUND_VARIABLE_335514 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335515 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335516 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_4669 BOUND_VARIABLE_335514) BOUND_VARIABLE_335515) BOUND_VARIABLE_335516) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335516) BOUND_VARIABLE_335514) BOUND_VARIABLE_335515))))) (let ((_let_11039 (forall ((BOUND_VARIABLE_335504 tptp.set_nat) (BOUND_VARIABLE_335505 tptp.set_nat) (BOUND_VARIABLE_335506 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_4670 BOUND_VARIABLE_335504) BOUND_VARIABLE_335505) BOUND_VARIABLE_335506) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335506) BOUND_VARIABLE_335504) BOUND_VARIABLE_335505))))) (let ((_let_11040 (forall ((BOUND_VARIABLE_335494 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335495 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335496 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_4671 BOUND_VARIABLE_335494) BOUND_VARIABLE_335495) BOUND_VARIABLE_335496) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_335496) BOUND_VARIABLE_335494) BOUND_VARIABLE_335495))))) (let ((_let_11041 (forall ((BOUND_VARIABLE_343415 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_343414 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_335483 tptp.product_unit) (BOUND_VARIABLE_335484 Bool)) (= (ho_4556 (ho_4643 (ho_4642 (ho_4673 k_4672 BOUND_VARIABLE_343415) BOUND_VARIABLE_343414) BOUND_VARIABLE_335483) BOUND_VARIABLE_335484) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_335484) (ho_4639 BOUND_VARIABLE_343415 BOUND_VARIABLE_335483)) (ho_4639 BOUND_VARIABLE_343414 BOUND_VARIABLE_335483)))))) (let ((_let_11042 (forall ((BOUND_VARIABLE_335468 tptp.nat) (BOUND_VARIABLE_335469 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335468) BOUND_VARIABLE_335469)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4674 BOUND_VARIABLE_335468) BOUND_VARIABLE_335469))))) (let ((_let_11043 (forall ((BOUND_VARIABLE_335455 tptp.nat) (BOUND_VARIABLE_335456 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335455) BOUND_VARIABLE_335456)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4675 BOUND_VARIABLE_335455) BOUND_VARIABLE_335456))))) (let ((_let_11044 (forall ((BOUND_VARIABLE_335442 tptp.nat) (BOUND_VARIABLE_335443 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335442) BOUND_VARIABLE_335443)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4676 BOUND_VARIABLE_335442) BOUND_VARIABLE_335443))))) (let ((_let_11045 (forall ((BOUND_VARIABLE_335429 tptp.nat) (BOUND_VARIABLE_335430 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335429) BOUND_VARIABLE_335430)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4677 BOUND_VARIABLE_335429) BOUND_VARIABLE_335430))))) (let ((_let_11046 (forall ((BOUND_VARIABLE_335416 tptp.nat) (BOUND_VARIABLE_335417 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335416) BOUND_VARIABLE_335417)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4678 BOUND_VARIABLE_335416) BOUND_VARIABLE_335417))))) (let ((_let_11047 (forall ((BOUND_VARIABLE_335403 tptp.nat) (BOUND_VARIABLE_335404 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335403) BOUND_VARIABLE_335404)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4679 BOUND_VARIABLE_335403) BOUND_VARIABLE_335404))))) (let ((_let_11048 (forall ((BOUND_VARIABLE_335390 tptp.nat) (BOUND_VARIABLE_335391 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335390) BOUND_VARIABLE_335391)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4680 BOUND_VARIABLE_335390) BOUND_VARIABLE_335391))))) (let ((_let_11049 (forall ((BOUND_VARIABLE_335377 tptp.nat) (BOUND_VARIABLE_335378 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335377) BOUND_VARIABLE_335378)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4681 BOUND_VARIABLE_335377) BOUND_VARIABLE_335378))))) (let ((_let_11050 (forall ((BOUND_VARIABLE_335364 tptp.nat) (BOUND_VARIABLE_335365 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335364) BOUND_VARIABLE_335365)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4682 BOUND_VARIABLE_335364) BOUND_VARIABLE_335365))))) (let ((_let_11051 (forall ((BOUND_VARIABLE_335351 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335352 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_335351) BOUND_VARIABLE_335352)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4683 BOUND_VARIABLE_335351) BOUND_VARIABLE_335352))))) (let ((_let_11052 (forall ((BOUND_VARIABLE_335315 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_335316 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_4541 BOUND_VARIABLE_335316) BOUND_VARIABLE_335315)) (ho_4504 (ho_4685 k_4684 BOUND_VARIABLE_335315) BOUND_VARIABLE_335316))))) (let ((_let_11053 (forall ((BOUND_VARIABLE_335279 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_335280 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_4545 BOUND_VARIABLE_335280) BOUND_VARIABLE_335279)) (ho_4504 (ho_4685 k_4686 BOUND_VARIABLE_335279) BOUND_VARIABLE_335280))))) (let ((_let_11054 (forall ((BOUND_VARIABLE_335266 tptp.nat) (BOUND_VARIABLE_335267 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335266) BOUND_VARIABLE_335267)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4687 BOUND_VARIABLE_335266) BOUND_VARIABLE_335267))))) (let ((_let_11055 (forall ((BOUND_VARIABLE_335253 tptp.nat) (BOUND_VARIABLE_335254 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335253) BOUND_VARIABLE_335254)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4688 BOUND_VARIABLE_335253) BOUND_VARIABLE_335254))))) (let ((_let_11056 (forall ((BOUND_VARIABLE_335240 tptp.nat) (BOUND_VARIABLE_335241 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335240) BOUND_VARIABLE_335241)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4689 BOUND_VARIABLE_335240) BOUND_VARIABLE_335241))))) (let ((_let_11057 (forall ((BOUND_VARIABLE_335227 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335228 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_335227) BOUND_VARIABLE_335228)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4690 BOUND_VARIABLE_335227) BOUND_VARIABLE_335228))))) (let ((_let_11058 (forall ((BOUND_VARIABLE_343610 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_335190 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_4547 BOUND_VARIABLE_343610) BOUND_VARIABLE_335190)) (ho_4504 (ho_4692 k_4691 BOUND_VARIABLE_343610) BOUND_VARIABLE_335190))))) (let ((_let_11059 (forall ((BOUND_VARIABLE_343626 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_335152 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_4550 BOUND_VARIABLE_343626) BOUND_VARIABLE_335152)) (ho_4504 (ho_4692 k_4693 BOUND_VARIABLE_343626) BOUND_VARIABLE_335152))))) (let ((_let_11060 (forall ((BOUND_VARIABLE_335138 tptp.nat) (BOUND_VARIABLE_335139 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335138) BOUND_VARIABLE_335139)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4694 BOUND_VARIABLE_335138) BOUND_VARIABLE_335139))))) (let ((_let_11061 (forall ((BOUND_VARIABLE_335125 tptp.nat) (BOUND_VARIABLE_335126 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335125) BOUND_VARIABLE_335126)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4695 BOUND_VARIABLE_335125) BOUND_VARIABLE_335126))))) (let ((_let_11062 (forall ((BOUND_VARIABLE_335112 tptp.nat) (BOUND_VARIABLE_335113 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335112) BOUND_VARIABLE_335113)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4696 BOUND_VARIABLE_335112) BOUND_VARIABLE_335113))))) (let ((_let_11063 (forall ((BOUND_VARIABLE_343672 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_343671 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_335075 tptp.nat) (BOUND_VARIABLE_335076 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_335076)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_4554 (ho_4553 k_4552 BOUND_VARIABLE_343672) BOUND_VARIABLE_343671) BOUND_VARIABLE_335075)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_4707 (ho_4706 k_4705 BOUND_VARIABLE_343672) BOUND_VARIABLE_343671) BOUND_VARIABLE_335075) BOUND_VARIABLE_335076))))) (let ((_let_11064 (forall ((BOUND_VARIABLE_335060 tptp.nat) (BOUND_VARIABLE_335061 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335060) BOUND_VARIABLE_335061)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4708 BOUND_VARIABLE_335060) BOUND_VARIABLE_335061))))) (let ((_let_11065 (forall ((BOUND_VARIABLE_335047 tptp.nat) (BOUND_VARIABLE_335048 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335047) BOUND_VARIABLE_335048)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4709 BOUND_VARIABLE_335047) BOUND_VARIABLE_335048))))) (let ((_let_11066 (forall ((BOUND_VARIABLE_335034 tptp.nat) (BOUND_VARIABLE_335035 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_335034) BOUND_VARIABLE_335035)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4710 BOUND_VARIABLE_335034) BOUND_VARIABLE_335035))))) (let ((_let_11067 (forall ((BOUND_VARIABLE_335021 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335022 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_335021) BOUND_VARIABLE_335022)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4711 BOUND_VARIABLE_335021) BOUND_VARIABLE_335022))))) (let ((_let_11068 (forall ((BOUND_VARIABLE_343767 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_334984 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_4561 BOUND_VARIABLE_343767) BOUND_VARIABLE_334984)) (ho_4504 (ho_4692 k_4712 BOUND_VARIABLE_343767) BOUND_VARIABLE_334984))))) (let ((_let_11069 (forall ((BOUND_VARIABLE_343779 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_334946 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_4562 BOUND_VARIABLE_343779) BOUND_VARIABLE_334946)) (ho_4504 (ho_4692 k_4713 BOUND_VARIABLE_343779) BOUND_VARIABLE_334946))))) (let ((_let_11070 (forall ((BOUND_VARIABLE_334932 tptp.nat) (BOUND_VARIABLE_334933 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334932) BOUND_VARIABLE_334933)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4714 BOUND_VARIABLE_334932) BOUND_VARIABLE_334933))))) (let ((_let_11071 (forall ((BOUND_VARIABLE_334919 tptp.nat) (BOUND_VARIABLE_334920 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334919) BOUND_VARIABLE_334920)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4715 BOUND_VARIABLE_334919) BOUND_VARIABLE_334920))))) (let ((_let_11072 (forall ((BOUND_VARIABLE_334906 tptp.nat) (BOUND_VARIABLE_334907 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334906) BOUND_VARIABLE_334907)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4716 BOUND_VARIABLE_334906) BOUND_VARIABLE_334907))))) (let ((_let_11073 (forall ((BOUND_VARIABLE_343828 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334895 tptp.nat) (BOUND_VARIABLE_334896 tptp.set_nat) (BOUND_VARIABLE_334897 Bool)) (= (ho_4556 (ho_4654 (ho_4657 (ho_4656 k_4717 BOUND_VARIABLE_343828) BOUND_VARIABLE_334895) BOUND_VARIABLE_334896) BOUND_VARIABLE_334897) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334897) (ho_4551 BOUND_VARIABLE_343828 BOUND_VARIABLE_334895)) BOUND_VARIABLE_334896))))) (let ((_let_11074 (forall ((BOUND_VARIABLE_343845 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334883 tptp.nat) (BOUND_VARIABLE_334884 tptp.set_nat) (BOUND_VARIABLE_334885 Bool)) (= (ho_4556 (ho_4654 (ho_4657 (ho_4656 k_4718 BOUND_VARIABLE_343845) BOUND_VARIABLE_334883) BOUND_VARIABLE_334884) BOUND_VARIABLE_334885) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334885) (ho_4551 BOUND_VARIABLE_343845 BOUND_VARIABLE_334883)) BOUND_VARIABLE_334884))))) (let ((_let_11075 (forall ((BOUND_VARIABLE_343862 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_334871 Bool) (BOUND_VARIABLE_334872 tptp.set_nat) (BOUND_VARIABLE_334873 Bool)) (= (ho_4556 (ho_4654 (ho_4660 (ho_4659 k_4719 BOUND_VARIABLE_343862) BOUND_VARIABLE_334871) BOUND_VARIABLE_334872) BOUND_VARIABLE_334873) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334873) (ho_4556 BOUND_VARIABLE_343862 BOUND_VARIABLE_334871)) BOUND_VARIABLE_334872))))) (let ((_let_11076 (forall ((BOUND_VARIABLE_343879 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_334859 Bool) (BOUND_VARIABLE_334860 tptp.set_nat) (BOUND_VARIABLE_334861 Bool)) (= (ho_4556 (ho_4654 (ho_4660 (ho_4659 k_4720 BOUND_VARIABLE_343879) BOUND_VARIABLE_334859) BOUND_VARIABLE_334860) BOUND_VARIABLE_334861) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334861) (ho_4556 BOUND_VARIABLE_343879 BOUND_VARIABLE_334859)) BOUND_VARIABLE_334860))))) (let ((_let_11077 (forall ((BOUND_VARIABLE_343896 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_334847 tptp.product_unit) (BOUND_VARIABLE_334848 tptp.set_nat) (BOUND_VARIABLE_334849 Bool)) (= (ho_4556 (ho_4654 (ho_4663 (ho_4662 k_4721 BOUND_VARIABLE_343896) BOUND_VARIABLE_334847) BOUND_VARIABLE_334848) BOUND_VARIABLE_334849) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334849) (ho_4639 BOUND_VARIABLE_343896 BOUND_VARIABLE_334847)) BOUND_VARIABLE_334848))))) (let ((_let_11078 (forall ((BOUND_VARIABLE_343913 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_334835 tptp.product_unit) (BOUND_VARIABLE_334836 tptp.set_nat) (BOUND_VARIABLE_334837 Bool)) (= (ho_4556 (ho_4654 (ho_4663 (ho_4662 k_4722 BOUND_VARIABLE_343913) BOUND_VARIABLE_334835) BOUND_VARIABLE_334836) BOUND_VARIABLE_334837) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334837) (ho_4639 BOUND_VARIABLE_343913 BOUND_VARIABLE_334835)) BOUND_VARIABLE_334836))))) (let ((_let_11079 (forall ((BOUND_VARIABLE_334822 tptp.set_nat) (BOUND_VARIABLE_343930 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334824 tptp.nat) (BOUND_VARIABLE_334825 Bool)) (= (ho_4556 (ho_4555 (ho_4554 (ho_4634 k_4723 BOUND_VARIABLE_334822) BOUND_VARIABLE_343930) BOUND_VARIABLE_334824) BOUND_VARIABLE_334825) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334825) BOUND_VARIABLE_334822) (ho_4551 BOUND_VARIABLE_343930 BOUND_VARIABLE_334824)))))) (let ((_let_11080 (forall ((BOUND_VARIABLE_334810 tptp.set_nat) (BOUND_VARIABLE_343947 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334812 tptp.nat) (BOUND_VARIABLE_334813 Bool)) (= (ho_4556 (ho_4555 (ho_4554 (ho_4634 k_4724 BOUND_VARIABLE_334810) BOUND_VARIABLE_343947) BOUND_VARIABLE_334812) BOUND_VARIABLE_334813) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334813) BOUND_VARIABLE_334810) (ho_4551 BOUND_VARIABLE_343947 BOUND_VARIABLE_334812)))))) (let ((_let_11081 (forall ((BOUND_VARIABLE_334798 tptp.set_nat) (BOUND_VARIABLE_343964 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_334800 Bool) (BOUND_VARIABLE_334801 Bool)) (= (ho_4556 (ho_4638 (ho_4637 (ho_4636 k_4725 BOUND_VARIABLE_334798) BOUND_VARIABLE_343964) BOUND_VARIABLE_334800) BOUND_VARIABLE_334801) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334801) BOUND_VARIABLE_334798) (ho_4556 BOUND_VARIABLE_343964 BOUND_VARIABLE_334800)))))) (let ((_let_11082 (forall ((BOUND_VARIABLE_334786 tptp.set_nat) (BOUND_VARIABLE_343981 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_334788 Bool) (BOUND_VARIABLE_334789 Bool)) (= (ho_4556 (ho_4638 (ho_4637 (ho_4636 k_4726 BOUND_VARIABLE_334786) BOUND_VARIABLE_343981) BOUND_VARIABLE_334788) BOUND_VARIABLE_334789) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334789) BOUND_VARIABLE_334786) (ho_4556 BOUND_VARIABLE_343981 BOUND_VARIABLE_334788)))))) (let ((_let_11083 (forall ((BOUND_VARIABLE_334774 tptp.set_nat) (BOUND_VARIABLE_343998 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_334776 tptp.product_unit) (BOUND_VARIABLE_334777 Bool)) (= (ho_4556 (ho_4643 (ho_4642 (ho_4641 k_4727 BOUND_VARIABLE_334774) BOUND_VARIABLE_343998) BOUND_VARIABLE_334776) BOUND_VARIABLE_334777) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334777) BOUND_VARIABLE_334774) (ho_4639 BOUND_VARIABLE_343998 BOUND_VARIABLE_334776)))))) (let ((_let_11084 (forall ((BOUND_VARIABLE_334762 tptp.set_nat) (BOUND_VARIABLE_344015 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_334764 tptp.product_unit) (BOUND_VARIABLE_334765 Bool)) (= (ho_4556 (ho_4643 (ho_4642 (ho_4641 k_4728 BOUND_VARIABLE_334762) BOUND_VARIABLE_344015) BOUND_VARIABLE_334764) BOUND_VARIABLE_334765) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_334765) BOUND_VARIABLE_334762) (ho_4639 BOUND_VARIABLE_344015 BOUND_VARIABLE_334764)))))) (let ((_let_11085 (forall ((BOUND_VARIABLE_334749 tptp.nat) (BOUND_VARIABLE_334750 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334749) BOUND_VARIABLE_334750)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4729 BOUND_VARIABLE_334749) BOUND_VARIABLE_334750))))) (let ((_let_11086 (forall ((BOUND_VARIABLE_334736 tptp.int) (BOUND_VARIABLE_334737 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334736) BOUND_VARIABLE_334737)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4730 BOUND_VARIABLE_334736) BOUND_VARIABLE_334737))))) (let ((_let_11087 (forall ((BOUND_VARIABLE_334723 tptp.int) (BOUND_VARIABLE_334724 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334723) BOUND_VARIABLE_334724)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4731 BOUND_VARIABLE_334723) BOUND_VARIABLE_334724))))) (let ((_let_11088 (forall ((BOUND_VARIABLE_334710 tptp.int) (BOUND_VARIABLE_334711 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334710) BOUND_VARIABLE_334711)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4732 BOUND_VARIABLE_334710) BOUND_VARIABLE_334711))))) (let ((_let_11089 (forall ((BOUND_VARIABLE_334697 tptp.nat) (BOUND_VARIABLE_334698 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334697) BOUND_VARIABLE_334698)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4733 BOUND_VARIABLE_334697) BOUND_VARIABLE_334698))))) (let ((_let_11090 (forall ((BOUND_VARIABLE_334684 tptp.nat) (BOUND_VARIABLE_334685 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334684) BOUND_VARIABLE_334685)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4734 BOUND_VARIABLE_334684) BOUND_VARIABLE_334685))))) (let ((_let_11091 (forall ((BOUND_VARIABLE_334671 tptp.nat) (BOUND_VARIABLE_334672 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334671) BOUND_VARIABLE_334672)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4735 BOUND_VARIABLE_334671) BOUND_VARIABLE_334672))))) (let ((_let_11092 (forall ((BOUND_VARIABLE_334658 tptp.nat) (BOUND_VARIABLE_334659 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334658) BOUND_VARIABLE_334659)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4736 BOUND_VARIABLE_334658) BOUND_VARIABLE_334659))))) (let ((_let_11093 (forall ((BOUND_VARIABLE_334645 tptp.nat) (BOUND_VARIABLE_334646 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334645) BOUND_VARIABLE_334646)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4737 BOUND_VARIABLE_334645) BOUND_VARIABLE_334646))))) (let ((_let_11094 (forall ((BOUND_VARIABLE_334632 tptp.nat) (BOUND_VARIABLE_334633 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334632) BOUND_VARIABLE_334633)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4738 BOUND_VARIABLE_334632) BOUND_VARIABLE_334633))))) (let ((_let_11095 (forall ((BOUND_VARIABLE_334619 tptp.nat) (BOUND_VARIABLE_334620 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334619) BOUND_VARIABLE_334620)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4739 BOUND_VARIABLE_334619) BOUND_VARIABLE_334620))))) (let ((_let_11096 (forall ((BOUND_VARIABLE_334606 tptp.nat) (BOUND_VARIABLE_334607 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334606) BOUND_VARIABLE_334607)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4740 BOUND_VARIABLE_334606) BOUND_VARIABLE_334607))))) (let ((_let_11097 (forall ((BOUND_VARIABLE_334593 tptp.nat) (BOUND_VARIABLE_334594 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334593) BOUND_VARIABLE_334594)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4741 BOUND_VARIABLE_334593) BOUND_VARIABLE_334594))))) (let ((_let_11098 (forall ((BOUND_VARIABLE_334580 tptp.int) (BOUND_VARIABLE_334581 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334580) BOUND_VARIABLE_334581)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4742 BOUND_VARIABLE_334580) BOUND_VARIABLE_334581))))) (let ((_let_11099 (forall ((BOUND_VARIABLE_334567 tptp.nat) (BOUND_VARIABLE_334568 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334567) BOUND_VARIABLE_334568)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4743 BOUND_VARIABLE_334567) BOUND_VARIABLE_334568))))) (let ((_let_11100 (forall ((BOUND_VARIABLE_334554 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334555 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334554) BOUND_VARIABLE_334555)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4744 BOUND_VARIABLE_334554) BOUND_VARIABLE_334555))))) (let ((_let_11101 (forall ((BOUND_VARIABLE_334541 tptp.int) (BOUND_VARIABLE_334542 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334541) BOUND_VARIABLE_334542)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4745 BOUND_VARIABLE_334541) BOUND_VARIABLE_334542))))) (let ((_let_11102 (forall ((BOUND_VARIABLE_334528 tptp.nat) (BOUND_VARIABLE_334529 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334528) BOUND_VARIABLE_334529)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4746 BOUND_VARIABLE_334528) BOUND_VARIABLE_334529))))) (let ((_let_11103 (forall ((BOUND_VARIABLE_334515 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334516 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334515) BOUND_VARIABLE_334516)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4747 BOUND_VARIABLE_334515) BOUND_VARIABLE_334516))))) (let ((_let_11104 (forall ((BOUND_VARIABLE_334502 tptp.int) (BOUND_VARIABLE_334503 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334502) BOUND_VARIABLE_334503)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4748 BOUND_VARIABLE_334502) BOUND_VARIABLE_334503))))) (let ((_let_11105 (forall ((BOUND_VARIABLE_334489 tptp.nat) (BOUND_VARIABLE_334490 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334489) BOUND_VARIABLE_334490)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4749 BOUND_VARIABLE_334489) BOUND_VARIABLE_334490))))) (let ((_let_11106 (forall ((BOUND_VARIABLE_334476 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334477 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334476) BOUND_VARIABLE_334477)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4750 BOUND_VARIABLE_334476) BOUND_VARIABLE_334477))))) (let ((_let_11107 (forall ((BOUND_VARIABLE_334463 tptp.int) (BOUND_VARIABLE_334464 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334463) BOUND_VARIABLE_334464)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4751 BOUND_VARIABLE_334463) BOUND_VARIABLE_334464))))) (let ((_let_11108 (forall ((BOUND_VARIABLE_334450 tptp.nat) (BOUND_VARIABLE_334451 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334450) BOUND_VARIABLE_334451)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4752 BOUND_VARIABLE_334450) BOUND_VARIABLE_334451))))) (let ((_let_11109 (forall ((BOUND_VARIABLE_334437 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334438 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334437) BOUND_VARIABLE_334438)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4753 BOUND_VARIABLE_334437) BOUND_VARIABLE_334438))))) (let ((_let_11110 (forall ((BOUND_VARIABLE_344303 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334396 tptp.nat) (BOUND_VARIABLE_334397 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 (ho_4572 k_4571 BOUND_VARIABLE_334397) BOUND_VARIABLE_344303) BOUND_VARIABLE_334396)) (ho_4524 (ho_4523 (ho_4755 k_4754 BOUND_VARIABLE_344303) BOUND_VARIABLE_334396) BOUND_VARIABLE_334397))))) (let ((_let_11111 (forall ((BOUND_VARIABLE_334362 tptp.nat) (BOUND_VARIABLE_334363 tptp.set_nat) (BOUND_VARIABLE_334364 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_334364)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4576 BOUND_VARIABLE_334362)) BOUND_VARIABLE_334363))) (ho_4575 (ho_4758 (ho_4757 k_4756 BOUND_VARIABLE_334362) BOUND_VARIABLE_334363) BOUND_VARIABLE_334364))))) (let ((_let_11112 (forall ((BOUND_VARIABLE_334349 tptp.nat) (BOUND_VARIABLE_334350 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334349) BOUND_VARIABLE_334350)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4759 BOUND_VARIABLE_334349) BOUND_VARIABLE_334350))))) (let ((_let_11113 (forall ((BOUND_VARIABLE_344358 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334337 tptp.set_nat) (BOUND_VARIABLE_334338 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_4760 BOUND_VARIABLE_344358) BOUND_VARIABLE_334337) BOUND_VARIABLE_334338) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_334338)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_344358) BOUND_VARIABLE_334337))))))) (let ((_let_11114 (forall ((BOUND_VARIABLE_334323 tptp.nat) (BOUND_VARIABLE_334324 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334323) BOUND_VARIABLE_334324)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4766 BOUND_VARIABLE_334323) BOUND_VARIABLE_334324))))) (let ((_let_11115 (forall ((BOUND_VARIABLE_344398 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_334286 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_4577 BOUND_VARIABLE_344398) BOUND_VARIABLE_334286)) (ho_4524 (ho_4768 k_4767 BOUND_VARIABLE_344398) BOUND_VARIABLE_334286))))) (let ((_let_11116 (forall ((BOUND_VARIABLE_334272 tptp.nat) (BOUND_VARIABLE_334273 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334272) BOUND_VARIABLE_334273)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4769 BOUND_VARIABLE_334272) BOUND_VARIABLE_334273))))) (let ((_let_11117 (forall ((BOUND_VARIABLE_334259 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334260 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334259) BOUND_VARIABLE_334260)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4770 BOUND_VARIABLE_334259) BOUND_VARIABLE_334260))))) (let ((_let_11118 (forall ((BOUND_VARIABLE_334246 tptp.int) (BOUND_VARIABLE_334247 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334246) BOUND_VARIABLE_334247)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4771 BOUND_VARIABLE_334246) BOUND_VARIABLE_334247))))) (let ((_let_11119 (forall ((BOUND_VARIABLE_334233 tptp.nat) (BOUND_VARIABLE_334234 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334233) BOUND_VARIABLE_334234)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4772 BOUND_VARIABLE_334233) BOUND_VARIABLE_334234))))) (let ((_let_11120 (forall ((BOUND_VARIABLE_334220 tptp.int) (BOUND_VARIABLE_334221 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_334220) BOUND_VARIABLE_334221)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4773 BOUND_VARIABLE_334220) BOUND_VARIABLE_334221))))) (let ((_let_11121 (forall ((BOUND_VARIABLE_334207 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334208 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334207) BOUND_VARIABLE_334208)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4774 BOUND_VARIABLE_334207) BOUND_VARIABLE_334208))))) (let ((_let_11122 (forall ((BOUND_VARIABLE_334194 tptp.nat) (BOUND_VARIABLE_334195 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334194) BOUND_VARIABLE_334195)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4775 BOUND_VARIABLE_334194) BOUND_VARIABLE_334195))))) (let ((_let_11123 (forall ((BOUND_VARIABLE_334181 tptp.nat) (BOUND_VARIABLE_334182 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334181) BOUND_VARIABLE_334182)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4776 BOUND_VARIABLE_334181) BOUND_VARIABLE_334182))))) (let ((_let_11124 (forall ((BOUND_VARIABLE_334168 tptp.nat) (BOUND_VARIABLE_334169 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334168) BOUND_VARIABLE_334169)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4777 BOUND_VARIABLE_334168) BOUND_VARIABLE_334169))))) (let ((_let_11125 (forall ((BOUND_VARIABLE_334155 tptp.nat) (BOUND_VARIABLE_334156 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334155) BOUND_VARIABLE_334156)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4778 BOUND_VARIABLE_334155) BOUND_VARIABLE_334156))))) (let ((_let_11126 (forall ((BOUND_VARIABLE_334142 tptp.nat) (BOUND_VARIABLE_334143 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334142) BOUND_VARIABLE_334143)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4779 BOUND_VARIABLE_334142) BOUND_VARIABLE_334143))))) (let ((_let_11127 (forall ((BOUND_VARIABLE_334129 tptp.nat) (BOUND_VARIABLE_334130 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334129) BOUND_VARIABLE_334130)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4780 BOUND_VARIABLE_334129) BOUND_VARIABLE_334130))))) (let ((_let_11128 (forall ((BOUND_VARIABLE_334116 tptp.nat) (BOUND_VARIABLE_334117 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334116) BOUND_VARIABLE_334117)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4781 BOUND_VARIABLE_334116) BOUND_VARIABLE_334117))))) (let ((_let_11129 (forall ((BOUND_VARIABLE_334103 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334104 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334103) BOUND_VARIABLE_334104)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4782 BOUND_VARIABLE_334103) BOUND_VARIABLE_334104))))) (let ((_let_11130 (forall ((BOUND_VARIABLE_334090 tptp.nat) (BOUND_VARIABLE_334091 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334090) BOUND_VARIABLE_334091)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4783 BOUND_VARIABLE_334090) BOUND_VARIABLE_334091))))) (let ((_let_11131 (forall ((BOUND_VARIABLE_334077 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334078 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334077) BOUND_VARIABLE_334078)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4784 BOUND_VARIABLE_334077) BOUND_VARIABLE_334078))))) (let ((_let_11132 (forall ((BOUND_VARIABLE_334064 tptp.nat) (BOUND_VARIABLE_334065 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334064) BOUND_VARIABLE_334065)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4785 BOUND_VARIABLE_334064) BOUND_VARIABLE_334065))))) (let ((_let_11133 (forall ((BOUND_VARIABLE_334051 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334052 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_334051) BOUND_VARIABLE_334052)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4786 BOUND_VARIABLE_334051) BOUND_VARIABLE_334052))))) (let ((_let_11134 (forall ((BOUND_VARIABLE_334038 tptp.nat) (BOUND_VARIABLE_334039 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334038) BOUND_VARIABLE_334039)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4787 BOUND_VARIABLE_334038) BOUND_VARIABLE_334039))))) (let ((_let_11135 (forall ((BOUND_VARIABLE_334025 tptp.nat) (BOUND_VARIABLE_334026 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334025) BOUND_VARIABLE_334026)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4788 BOUND_VARIABLE_334025) BOUND_VARIABLE_334026))))) (let ((_let_11136 (forall ((BOUND_VARIABLE_334012 tptp.nat) (BOUND_VARIABLE_334013 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_334012) BOUND_VARIABLE_334013)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4789 BOUND_VARIABLE_334012) BOUND_VARIABLE_334013))))) (let ((_let_11137 (forall ((BOUND_VARIABLE_333999 tptp.nat) (BOUND_VARIABLE_334000 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333999) BOUND_VARIABLE_334000)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4790 BOUND_VARIABLE_333999) BOUND_VARIABLE_334000))))) (let ((_let_11138 (forall ((BOUND_VARIABLE_333986 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333987 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_333986) BOUND_VARIABLE_333987)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4791 BOUND_VARIABLE_333986) BOUND_VARIABLE_333987))))) (let ((_let_11139 (forall ((BOUND_VARIABLE_333973 tptp.int) (BOUND_VARIABLE_333974 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333973) BOUND_VARIABLE_333974)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4792 BOUND_VARIABLE_333973) BOUND_VARIABLE_333974))))) (let ((_let_11140 (forall ((BOUND_VARIABLE_333960 tptp.int) (BOUND_VARIABLE_333961 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333960) BOUND_VARIABLE_333961)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4793 BOUND_VARIABLE_333960) BOUND_VARIABLE_333961))))) (let ((_let_11141 (forall ((BOUND_VARIABLE_333947 tptp.int) (BOUND_VARIABLE_333948 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333947) BOUND_VARIABLE_333948)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4794 BOUND_VARIABLE_333947) BOUND_VARIABLE_333948))))) (let ((_let_11142 (forall ((BOUND_VARIABLE_333934 tptp.int) (BOUND_VARIABLE_333935 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333934) BOUND_VARIABLE_333935)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4795 BOUND_VARIABLE_333934) BOUND_VARIABLE_333935))))) (let ((_let_11143 (forall ((BOUND_VARIABLE_333921 tptp.nat) (BOUND_VARIABLE_333922 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333921) BOUND_VARIABLE_333922)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4796 BOUND_VARIABLE_333921) BOUND_VARIABLE_333922))))) (let ((_let_11144 (forall ((BOUND_VARIABLE_333908 tptp.nat) (BOUND_VARIABLE_333909 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333908) BOUND_VARIABLE_333909)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4797 BOUND_VARIABLE_333908) BOUND_VARIABLE_333909))))) (let ((_let_11145 (forall ((BOUND_VARIABLE_333895 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333896 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_333895) BOUND_VARIABLE_333896)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4798 BOUND_VARIABLE_333895) BOUND_VARIABLE_333896))))) (let ((_let_11146 (forall ((BOUND_VARIABLE_333882 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333883 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_333882) BOUND_VARIABLE_333883)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4799 BOUND_VARIABLE_333882) BOUND_VARIABLE_333883))))) (let ((_let_11147 (forall ((BOUND_VARIABLE_333869 tptp.nat) (BOUND_VARIABLE_333870 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333869) BOUND_VARIABLE_333870)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4800 BOUND_VARIABLE_333869) BOUND_VARIABLE_333870))))) (let ((_let_11148 (forall ((BOUND_VARIABLE_333856 tptp.nat) (BOUND_VARIABLE_333857 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333856) BOUND_VARIABLE_333857)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4801 BOUND_VARIABLE_333856) BOUND_VARIABLE_333857))))) (let ((_let_11149 (forall ((BOUND_VARIABLE_333843 tptp.nat) (BOUND_VARIABLE_333844 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333843) BOUND_VARIABLE_333844)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4802 BOUND_VARIABLE_333843) BOUND_VARIABLE_333844))))) (let ((_let_11150 (forall ((BOUND_VARIABLE_333830 tptp.int) (BOUND_VARIABLE_333831 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333830) BOUND_VARIABLE_333831)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4803 BOUND_VARIABLE_333830) BOUND_VARIABLE_333831))))) (let ((_let_11151 (forall ((BOUND_VARIABLE_333817 tptp.nat) (BOUND_VARIABLE_333818 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333817) BOUND_VARIABLE_333818)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4804 BOUND_VARIABLE_333817) BOUND_VARIABLE_333818))))) (let ((_let_11152 (forall ((BOUND_VARIABLE_333804 tptp.nat) (BOUND_VARIABLE_333805 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333804) BOUND_VARIABLE_333805)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4805 BOUND_VARIABLE_333804) BOUND_VARIABLE_333805))))) (let ((_let_11153 (forall ((BOUND_VARIABLE_333791 tptp.nat) (BOUND_VARIABLE_333792 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333791) BOUND_VARIABLE_333792)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4806 BOUND_VARIABLE_333791) BOUND_VARIABLE_333792))))) (let ((_let_11154 (forall ((BOUND_VARIABLE_333778 tptp.nat) (BOUND_VARIABLE_333779 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333778) BOUND_VARIABLE_333779)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4807 BOUND_VARIABLE_333778) BOUND_VARIABLE_333779))))) (let ((_let_11155 (forall ((BOUND_VARIABLE_333765 tptp.int) (BOUND_VARIABLE_333766 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333765) BOUND_VARIABLE_333766)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4808 BOUND_VARIABLE_333765) BOUND_VARIABLE_333766))))) (let ((_let_11156 (forall ((BOUND_VARIABLE_333752 tptp.nat) (BOUND_VARIABLE_333753 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333752) BOUND_VARIABLE_333753)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4809 BOUND_VARIABLE_333752) BOUND_VARIABLE_333753))))) (let ((_let_11157 (forall ((BOUND_VARIABLE_333739 tptp.nat) (BOUND_VARIABLE_333740 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333739) BOUND_VARIABLE_333740)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4810 BOUND_VARIABLE_333739) BOUND_VARIABLE_333740))))) (let ((_let_11158 (forall ((BOUND_VARIABLE_333726 tptp.int) (BOUND_VARIABLE_333727 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333726) BOUND_VARIABLE_333727)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4811 BOUND_VARIABLE_333726) BOUND_VARIABLE_333727))))) (let ((_let_11159 (forall ((BOUND_VARIABLE_333713 tptp.nat) (BOUND_VARIABLE_333714 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333713) BOUND_VARIABLE_333714)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4812 BOUND_VARIABLE_333713) BOUND_VARIABLE_333714))))) (let ((_let_11160 (forall ((BOUND_VARIABLE_333700 tptp.int) (BOUND_VARIABLE_333701 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333700) BOUND_VARIABLE_333701)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4813 BOUND_VARIABLE_333700) BOUND_VARIABLE_333701))))) (let ((_let_11161 (forall ((BOUND_VARIABLE_333687 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333688 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_333687) BOUND_VARIABLE_333688)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4814 BOUND_VARIABLE_333687) BOUND_VARIABLE_333688))))) (let ((_let_11162 (forall ((BOUND_VARIABLE_333674 tptp.nat) (BOUND_VARIABLE_333675 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333674) BOUND_VARIABLE_333675)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4815 BOUND_VARIABLE_333674) BOUND_VARIABLE_333675))))) (let ((_let_11163 (forall ((BOUND_VARIABLE_333661 tptp.int) (BOUND_VARIABLE_333662 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333661) BOUND_VARIABLE_333662)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4816 BOUND_VARIABLE_333661) BOUND_VARIABLE_333662))))) (let ((_let_11164 (forall ((BOUND_VARIABLE_333648 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333649 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_333648) BOUND_VARIABLE_333649)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 (ho_4503 k_4817 BOUND_VARIABLE_333648) BOUND_VARIABLE_333649))))) (let ((_let_11165 (forall ((BOUND_VARIABLE_333635 tptp.nat) (BOUND_VARIABLE_333636 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333635) BOUND_VARIABLE_333636)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4818 BOUND_VARIABLE_333635) BOUND_VARIABLE_333636))))) (let ((_let_11166 (forall ((BOUND_VARIABLE_333622 tptp.int) (BOUND_VARIABLE_333623 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333622) BOUND_VARIABLE_333623)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4819 BOUND_VARIABLE_333622) BOUND_VARIABLE_333623))))) (let ((_let_11167 (forall ((BOUND_VARIABLE_333609 tptp.nat) (BOUND_VARIABLE_333610 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333609) BOUND_VARIABLE_333610)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4820 BOUND_VARIABLE_333609) BOUND_VARIABLE_333610))))) (let ((_let_11168 (forall ((BOUND_VARIABLE_333596 tptp.nat) (BOUND_VARIABLE_333597 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333596) BOUND_VARIABLE_333597)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4821 BOUND_VARIABLE_333596) BOUND_VARIABLE_333597))))) (let ((_let_11169 (forall ((BOUND_VARIABLE_333583 tptp.nat) (BOUND_VARIABLE_333584 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333583) BOUND_VARIABLE_333584)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4822 BOUND_VARIABLE_333583) BOUND_VARIABLE_333584))))) (let ((_let_11170 (forall ((BOUND_VARIABLE_333570 tptp.nat) (BOUND_VARIABLE_333571 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333570) BOUND_VARIABLE_333571)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4823 BOUND_VARIABLE_333570) BOUND_VARIABLE_333571))))) (let ((_let_11171 (forall ((BOUND_VARIABLE_333557 tptp.int) (BOUND_VARIABLE_333558 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333557) BOUND_VARIABLE_333558)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4824 BOUND_VARIABLE_333557) BOUND_VARIABLE_333558))))) (let ((_let_11172 (forall ((BOUND_VARIABLE_333544 tptp.nat) (BOUND_VARIABLE_333545 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333544) BOUND_VARIABLE_333545)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4825 BOUND_VARIABLE_333544) BOUND_VARIABLE_333545))))) (let ((_let_11173 (forall ((BOUND_VARIABLE_333531 tptp.nat) (BOUND_VARIABLE_333532 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333531) BOUND_VARIABLE_333532)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4826 BOUND_VARIABLE_333531) BOUND_VARIABLE_333532))))) (let ((_let_11174 (forall ((BOUND_VARIABLE_333518 tptp.int) (BOUND_VARIABLE_333519 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333518) BOUND_VARIABLE_333519)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4827 BOUND_VARIABLE_333518) BOUND_VARIABLE_333519))))) (let ((_let_11175 (forall ((BOUND_VARIABLE_333505 tptp.nat) (BOUND_VARIABLE_333506 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333505) BOUND_VARIABLE_333506)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4828 BOUND_VARIABLE_333505) BOUND_VARIABLE_333506))))) (let ((_let_11176 (forall ((BOUND_VARIABLE_333492 tptp.int) (BOUND_VARIABLE_333493 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333492) BOUND_VARIABLE_333493)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4829 BOUND_VARIABLE_333492) BOUND_VARIABLE_333493))))) (let ((_let_11177 (forall ((BOUND_VARIABLE_333479 tptp.nat) (BOUND_VARIABLE_333480 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333479) BOUND_VARIABLE_333480)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4830 BOUND_VARIABLE_333479) BOUND_VARIABLE_333480))))) (let ((_let_11178 (forall ((BOUND_VARIABLE_333466 tptp.nat) (BOUND_VARIABLE_333467 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_333466) BOUND_VARIABLE_333467)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 (ho_4523 k_4831 BOUND_VARIABLE_333466) BOUND_VARIABLE_333467))))) (let ((_let_11179 (forall ((BOUND_VARIABLE_333453 tptp.int) (BOUND_VARIABLE_333454 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333453) BOUND_VARIABLE_333454)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4832 BOUND_VARIABLE_333453) BOUND_VARIABLE_333454))))) (let ((_let_11180 (forall ((BOUND_VARIABLE_333440 tptp.int) (BOUND_VARIABLE_333441 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333440) BOUND_VARIABLE_333441)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4833 BOUND_VARIABLE_333440) BOUND_VARIABLE_333441))))) (let ((_let_11181 (forall ((BOUND_VARIABLE_333427 tptp.int) (BOUND_VARIABLE_333428 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_333427) BOUND_VARIABLE_333428)) (ho_4601 k_4600 k_4598)) (ho_4610 (ho_4609 k_4834 BOUND_VARIABLE_333427) BOUND_VARIABLE_333428))))) (let ((_let_11182 (forall ((BOUND_VARIABLE_333388 tptp.num) (BOUND_VARIABLE_333389 tptp.nat)) (= (ho_4527 (ho_4838 (ho_4837 (ho_4836 k_4835 (ho_4527 k_4530 tptp.one)) (ho_4579 k_4584 BOUND_VARIABLE_333389)) (ho_4579 k_4585 BOUND_VARIABLE_333389)) BOUND_VARIABLE_333388) (ho_4841 (ho_4840 k_4839 BOUND_VARIABLE_333388) BOUND_VARIABLE_333389))))) (let ((_let_11183 (forall ((BOUND_VARIABLE_333380 tptp.nat) (BOUND_VARIABLE_333381 tptp.nat)) (= (ho_4593 (ho_4511 k_4842 BOUND_VARIABLE_333380) BOUND_VARIABLE_333381) (ho_4593 (ho_4511 k_4843 BOUND_VARIABLE_333381) BOUND_VARIABLE_333380))))) (let ((_let_11184 (forall ((BOUND_VARIABLE_333337 tptp.nat) (BOUND_VARIABLE_333338 tptp.nat) (BOUND_VARIABLE_333339 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_333339)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4591 BOUND_VARIABLE_333337)) (ho_4845 k_4844 (ho_4511 k_4592 BOUND_VARIABLE_333338))))) (ho_4575 (ho_4574 (ho_4847 k_4846 BOUND_VARIABLE_333337) BOUND_VARIABLE_333338) BOUND_VARIABLE_333339))))) (let ((_let_11185 (forall ((BOUND_VARIABLE_333303 tptp.nat) (BOUND_VARIABLE_333304 tptp.nat) (BOUND_VARIABLE_333305 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_333305)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4595 BOUND_VARIABLE_333303)) (ho_4551 (ho_4850 k_4849 (ho_4515 k_4514 (ho_4513 k_4512 k_4848))) BOUND_VARIABLE_333304)))) (ho_4575 (ho_4574 (ho_4847 k_4851 BOUND_VARIABLE_333303) BOUND_VARIABLE_333304) BOUND_VARIABLE_333305))))) (let ((_let_11186 (forall ((BOUND_VARIABLE_345242 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_333290 tptp.nat)) (= (ho_4560 (ho_4857 k_4856 BOUND_VARIABLE_345242) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_333290) (ho_4845 k_4844 k_4852))) (ho_4551 (ho_4859 k_4858 BOUND_VARIABLE_345242) BOUND_VARIABLE_333290))))) (let ((_let_11187 (forall ((BOUND_VARIABLE_345266 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_333280 Bool)) (= (ho_4556 (ho_4861 k_4860 BOUND_VARIABLE_345266) BOUND_VARIABLE_333280) (ho_4867 (ho_4866 k_4865 BOUND_VARIABLE_345266) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_333280) tptp.bot_bot_set_o)))))) (let ((_let_11188 (forall ((BOUND_VARIABLE_345298 |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_333266 tptp.product_prod_nat_nat)) (= (ho_4870 (ho_4869 k_4868 BOUND_VARIABLE_345298) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_333266) (ho_4515 k_4514 (ho_4513 k_4512 k_4510)))) (ho_4628 (ho_4872 k_4871 BOUND_VARIABLE_345298) BOUND_VARIABLE_333266))))) (let ((_let_11189 (forall ((BOUND_VARIABLE_345324 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_333252 tptp.produc3843707927480180839at_nat)) (= (ho_4876 (ho_4875 k_4874 BOUND_VARIABLE_345324) (ho_4501 (ho_4500 k_4499 BOUND_VARIABLE_333252) (ho_4495 k_4494 (ho_4493 k_4492 k_4490)))) (ho_4879 (ho_4878 k_4877 BOUND_VARIABLE_345324) BOUND_VARIABLE_333252))))) (let ((_let_11190 (forall ((BOUND_VARIABLE_345355 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_333242 tptp.product_unit)) (= (ho_4639 (ho_4882 k_4881 BOUND_VARIABLE_345355) BOUND_VARIABLE_333242) (ho_4888 (ho_4887 k_4886 BOUND_VARIABLE_345355) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_333242) tptp.bot_bo3957492148770167129t_unit)))))) (let ((_let_11191 (forall ((BOUND_VARIABLE_333208 tptp.nat) (BOUND_VARIABLE_333209 tptp.set_nat) (BOUND_VARIABLE_333210 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_333210)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4596 BOUND_VARIABLE_333208)) BOUND_VARIABLE_333209))) (ho_4575 (ho_4758 (ho_4757 k_4889 BOUND_VARIABLE_333208) BOUND_VARIABLE_333209) BOUND_VARIABLE_333210))))) (let ((_let_11192 (forall ((BOUND_VARIABLE_333176 tptp.nat) (BOUND_VARIABLE_333177 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_333177)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4597 BOUND_VARIABLE_333176)) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4575 (ho_4574 k_4895 BOUND_VARIABLE_333176) BOUND_VARIABLE_333177))))) (let ((_let_11193 (forall ((BOUND_VARIABLE_345432 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_333143 tptp.int) (BOUND_VARIABLE_333144 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_333144)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4608 BOUND_VARIABLE_333143)) (ho_4896 BOUND_VARIABLE_345432 BOUND_VARIABLE_333143)))) (ho_4599 (ho_4907 (ho_4906 k_4905 BOUND_VARIABLE_345432) BOUND_VARIABLE_333143) BOUND_VARIABLE_333144))))) (let ((_let_11194 (forall ((BOUND_VARIABLE_345481 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_333109 tptp.int) (BOUND_VARIABLE_333110 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_333110)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4611 BOUND_VARIABLE_333109)) (ho_4896 BOUND_VARIABLE_345481 BOUND_VARIABLE_333109)))) (ho_4599 (ho_4907 (ho_4906 k_4908 BOUND_VARIABLE_345481) BOUND_VARIABLE_333109) BOUND_VARIABLE_333110))))) (let ((_let_11195 (forall ((BOUND_VARIABLE_333075 tptp.nat) (BOUND_VARIABLE_333076 tptp.set_nat) (BOUND_VARIABLE_333077 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_333077)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4612 BOUND_VARIABLE_333075)) BOUND_VARIABLE_333076))) (ho_4575 (ho_4758 (ho_4757 k_4909 BOUND_VARIABLE_333075) BOUND_VARIABLE_333076) BOUND_VARIABLE_333077))))) (let ((_let_11196 (forall ((BOUND_VARIABLE_333065 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_333066 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_333067 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_4910 BOUND_VARIABLE_333065) BOUND_VARIABLE_333066) BOUND_VARIABLE_333067) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_333067) BOUND_VARIABLE_333065) BOUND_VARIABLE_333066))))) (let ((_let_11197 (forall ((BOUND_VARIABLE_345554 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_345538 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_333024 tptp.int) (BOUND_VARIABLE_333025 tptp.set_int) (BOUND_VARIABLE_333026 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_333026)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4613 BOUND_VARIABLE_333024)) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_345554) (ho_4913 (ho_4918 k_4917 (ho_4913 (ho_4916 k_4915 BOUND_VARIABLE_345538) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_333024) tptp.bot_bot_set_int))) BOUND_VARIABLE_333025))))) (ho_4599 (ho_4924 (ho_4923 (ho_4922 (ho_4921 k_4920 BOUND_VARIABLE_345554) BOUND_VARIABLE_345538) BOUND_VARIABLE_333024) BOUND_VARIABLE_333025) BOUND_VARIABLE_333026))))) (let ((_let_11198 (forall ((BOUND_VARIABLE_345609 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_345596 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_332981 tptp.int) (BOUND_VARIABLE_332982 tptp.set_nat) (BOUND_VARIABLE_332983 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_332983)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4614 BOUND_VARIABLE_332981)) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_345609) (ho_4560 (ho_4559 k_4928 (ho_4894 (ho_4927 k_4926 BOUND_VARIABLE_345596) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_332981) tptp.bot_bot_set_int))) BOUND_VARIABLE_332982))))) (ho_4599 (ho_4936 (ho_4935 (ho_4934 (ho_4933 k_4932 BOUND_VARIABLE_345609) BOUND_VARIABLE_345596) BOUND_VARIABLE_332981) BOUND_VARIABLE_332982) BOUND_VARIABLE_332983))))) (let ((_let_11199 (forall ((BOUND_VARIABLE_345659 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332962 tptp.set_Product_unit) (BOUND_VARIABLE_332963 tptp.product_unit) (BOUND_VARIABLE_332964 tptp.nat)) (= (ho_4593 (ho_4940 (ho_4939 (ho_4938 k_4937 BOUND_VARIABLE_345659) BOUND_VARIABLE_332962) BOUND_VARIABLE_332963) BOUND_VARIABLE_332964) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332964)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_345659) (ho_4885 (ho_4942 k_4941 BOUND_VARIABLE_332962) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_332963) tptp.bot_bo3957492148770167129t_unit))))))))) (let ((_let_11200 (forall ((BOUND_VARIABLE_345705 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_332944 tptp.set_int) (BOUND_VARIABLE_332945 tptp.int) (BOUND_VARIABLE_332946 tptp.nat)) (= (ho_4593 (ho_4950 (ho_4949 (ho_4948 k_4947 BOUND_VARIABLE_345705) BOUND_VARIABLE_332944) BOUND_VARIABLE_332945) BOUND_VARIABLE_332946) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332946)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_345705) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_332944) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_332945) tptp.bot_bot_set_int))))))))) (let ((_let_11201 (forall ((BOUND_VARIABLE_345747 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332932 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4956 k_4955 BOUND_VARIABLE_345747) BOUND_VARIABLE_332932) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332932)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_345747) tptp.bot_bot_set_o))))))) (let ((_let_11202 (forall ((BOUND_VARIABLE_345775 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332919 tptp.set_o) (BOUND_VARIABLE_332920 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4962 (ho_4961 k_4960 BOUND_VARIABLE_345775) BOUND_VARIABLE_332919) BOUND_VARIABLE_332920) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332920)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_345775) BOUND_VARIABLE_332919))))))) (let ((_let_11203 (forall ((BOUND_VARIABLE_332881 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_345796 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332883 Bool) (BOUND_VARIABLE_332884 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332884)) (ho_4959 (ho_4958 k_4957 (ho_4619 (ho_4618 (ho_4617 k_4616 BOUND_VARIABLE_332881) BOUND_VARIABLE_345796) BOUND_VARIABLE_332883)) tptp.top_top_set_o))) (ho_4544 (ho_4966 (ho_4965 (ho_4964 k_4963 BOUND_VARIABLE_332881) BOUND_VARIABLE_345796) BOUND_VARIABLE_332883) BOUND_VARIABLE_332884))))) (let ((_let_11204 (forall ((BOUND_VARIABLE_345831 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332870 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4968 k_4967 BOUND_VARIABLE_345831) BOUND_VARIABLE_332870) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332870)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_345831) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_11205 (forall ((BOUND_VARIABLE_345859 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332857 tptp.set_Product_unit) (BOUND_VARIABLE_332858 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4974 (ho_4973 k_4972 BOUND_VARIABLE_345859) BOUND_VARIABLE_332857) BOUND_VARIABLE_332858) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332858)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_345859) BOUND_VARIABLE_332857))))))) (let ((_let_11206 (forall ((BOUND_VARIABLE_332819 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_345880 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332821 tptp.product_unit) (BOUND_VARIABLE_332822 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332822)) (ho_4959 (ho_4958 k_4957 (ho_4627 (ho_4626 (ho_4625 k_4624 BOUND_VARIABLE_332819) BOUND_VARIABLE_345880) BOUND_VARIABLE_332821)) tptp.top_top_set_o))) (ho_4544 (ho_4978 (ho_4977 (ho_4976 k_4975 BOUND_VARIABLE_332819) BOUND_VARIABLE_345880) BOUND_VARIABLE_332821) BOUND_VARIABLE_332822))))) (let ((_let_11207 (forall ((BOUND_VARIABLE_345913 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332803 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332803)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_345913) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4593 (ho_4983 k_4982 BOUND_VARIABLE_345913) BOUND_VARIABLE_332803))))) (let ((_let_11208 (forall ((BOUND_VARIABLE_345943 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332790 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332791 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_4984 BOUND_VARIABLE_345943) BOUND_VARIABLE_332790) BOUND_VARIABLE_332791) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332791)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_345943) BOUND_VARIABLE_332790))))))) (let ((_let_11209 (forall ((BOUND_VARIABLE_332752 tptp.set_nat) (BOUND_VARIABLE_345964 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332754 tptp.product_prod_nat_nat) (BOUND_VARIABLE_332755 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332755)) (ho_4699 (ho_4698 k_4697 (ho_4632 (ho_4631 (ho_4630 k_4629 BOUND_VARIABLE_332752) BOUND_VARIABLE_345964) BOUND_VARIABLE_332754)) tptp.top_top_set_o))) (ho_4593 (ho_4990 (ho_4989 (ho_4988 k_4987 BOUND_VARIABLE_332752) BOUND_VARIABLE_345964) BOUND_VARIABLE_332754) BOUND_VARIABLE_332755))))) (let ((_let_11210 (forall ((BOUND_VARIABLE_345997 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332736 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332736)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_345997) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 k_4991 BOUND_VARIABLE_345997) BOUND_VARIABLE_332736))))) (let ((_let_11211 (forall ((BOUND_VARIABLE_346019 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332723 tptp.set_nat) (BOUND_VARIABLE_332724 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_4993 BOUND_VARIABLE_346019) BOUND_VARIABLE_332723) BOUND_VARIABLE_332724) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332724)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_346019) BOUND_VARIABLE_332723))))))) (let ((_let_11212 (forall ((BOUND_VARIABLE_332686 tptp.set_nat) (BOUND_VARIABLE_346033 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332688 tptp.nat) (BOUND_VARIABLE_332689 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332689)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_4554 (ho_4634 k_4633 BOUND_VARIABLE_332686) BOUND_VARIABLE_346033) BOUND_VARIABLE_332688)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_4707 (ho_4995 k_4994 BOUND_VARIABLE_332686) BOUND_VARIABLE_346033) BOUND_VARIABLE_332688) BOUND_VARIABLE_332689))))) (let ((_let_11213 (forall ((BOUND_VARIABLE_346061 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332675 tptp.nat)) (= (ho_4593 (ho_4997 k_4996 BOUND_VARIABLE_346061) BOUND_VARIABLE_332675) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332675)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346061) tptp.bot_bot_set_o))))))) (let ((_let_11214 (forall ((BOUND_VARIABLE_346081 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332662 tptp.set_o) (BOUND_VARIABLE_332663 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_4998 BOUND_VARIABLE_346081) BOUND_VARIABLE_332662) BOUND_VARIABLE_332663) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332663)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346081) BOUND_VARIABLE_332662))))))) (let ((_let_11215 (forall ((BOUND_VARIABLE_332625 tptp.set_nat) (BOUND_VARIABLE_346102 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332627 Bool) (BOUND_VARIABLE_332628 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332628)) (ho_4699 (ho_4698 k_4697 (ho_4638 (ho_4637 (ho_4636 k_4635 BOUND_VARIABLE_332625) BOUND_VARIABLE_346102) BOUND_VARIABLE_332627)) tptp.top_top_set_o))) (ho_4593 (ho_5004 (ho_5003 (ho_5002 k_5001 BOUND_VARIABLE_332625) BOUND_VARIABLE_346102) BOUND_VARIABLE_332627) BOUND_VARIABLE_332628))))) (let ((_let_11216 (forall ((BOUND_VARIABLE_346137 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332614 tptp.nat)) (= (ho_4593 (ho_5006 k_5005 BOUND_VARIABLE_346137) BOUND_VARIABLE_332614) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332614)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346137) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_11217 (forall ((BOUND_VARIABLE_346157 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332601 tptp.set_Product_unit) (BOUND_VARIABLE_332602 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5007 BOUND_VARIABLE_346157) BOUND_VARIABLE_332601) BOUND_VARIABLE_332602) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332602)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346157) BOUND_VARIABLE_332601))))))) (let ((_let_11218 (forall ((BOUND_VARIABLE_332564 tptp.set_nat) (BOUND_VARIABLE_346178 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332566 tptp.product_unit) (BOUND_VARIABLE_332567 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332567)) (ho_4699 (ho_4698 k_4697 (ho_4643 (ho_4642 (ho_4641 k_4640 BOUND_VARIABLE_332564) BOUND_VARIABLE_346178) BOUND_VARIABLE_332566)) tptp.top_top_set_o))) (ho_4593 (ho_4940 (ho_5012 (ho_5011 k_5010 BOUND_VARIABLE_332564) BOUND_VARIABLE_346178) BOUND_VARIABLE_332566) BOUND_VARIABLE_332567))))) (let ((_let_11219 (forall ((BOUND_VARIABLE_346210 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332553 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4956 k_5013 BOUND_VARIABLE_346210) BOUND_VARIABLE_332553) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332553)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_346210) tptp.bot_bot_set_o))))))) (let ((_let_11220 (forall ((BOUND_VARIABLE_346226 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332540 tptp.set_o) (BOUND_VARIABLE_332541 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4962 (ho_4961 k_5014 BOUND_VARIABLE_346226) BOUND_VARIABLE_332540) BOUND_VARIABLE_332541) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332541)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_346226) BOUND_VARIABLE_332540))))))) (let ((_let_11221 (forall ((BOUND_VARIABLE_346240 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332503 Bool) (BOUND_VARIABLE_332504 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_332505 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332505)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4646 (ho_4645 k_4644 BOUND_VARIABLE_346240) BOUND_VARIABLE_332503) BOUND_VARIABLE_332504)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5017 (ho_5016 k_5015 BOUND_VARIABLE_346240) BOUND_VARIABLE_332503) BOUND_VARIABLE_332504) BOUND_VARIABLE_332505))))) (let ((_let_11222 (forall ((BOUND_VARIABLE_346274 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332491 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4968 k_5019 BOUND_VARIABLE_346274) BOUND_VARIABLE_332491) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332491)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_346274) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_11223 (forall ((BOUND_VARIABLE_346290 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332478 tptp.set_Product_unit) (BOUND_VARIABLE_332479 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4974 (ho_4973 k_5020 BOUND_VARIABLE_346290) BOUND_VARIABLE_332478) BOUND_VARIABLE_332479) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332479)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_346290) BOUND_VARIABLE_332478))))))) (let ((_let_11224 (forall ((BOUND_VARIABLE_346304 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332441 tptp.product_unit) (BOUND_VARIABLE_332442 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_332443 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332443)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4650 (ho_4649 k_4648 BOUND_VARIABLE_346304) BOUND_VARIABLE_332441) BOUND_VARIABLE_332442)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5023 (ho_5022 k_5021 BOUND_VARIABLE_346304) BOUND_VARIABLE_332441) BOUND_VARIABLE_332442) BOUND_VARIABLE_332443))))) (let ((_let_11225 (forall ((BOUND_VARIABLE_346333 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332424 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332424)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_346333) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4593 (ho_4983 k_5024 BOUND_VARIABLE_346333) BOUND_VARIABLE_332424))))) (let ((_let_11226 (forall ((BOUND_VARIABLE_346351 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332411 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332412 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_5025 BOUND_VARIABLE_346351) BOUND_VARIABLE_332411) BOUND_VARIABLE_332412) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332412)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_346351) BOUND_VARIABLE_332411))))))) (let ((_let_11227 (forall ((BOUND_VARIABLE_346365 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332374 tptp.product_prod_nat_nat) (BOUND_VARIABLE_332375 tptp.set_nat) (BOUND_VARIABLE_332376 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332376)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4653 (ho_4652 k_4651 BOUND_VARIABLE_346365) BOUND_VARIABLE_332374) BOUND_VARIABLE_332375)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5028 (ho_5027 k_5026 BOUND_VARIABLE_346365) BOUND_VARIABLE_332374) BOUND_VARIABLE_332375) BOUND_VARIABLE_332376))))) (let ((_let_11228 (forall ((BOUND_VARIABLE_346394 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332357 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332357)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_346394) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 k_5029 BOUND_VARIABLE_346394) BOUND_VARIABLE_332357))))) (let ((_let_11229 (forall ((BOUND_VARIABLE_346412 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332344 tptp.set_nat) (BOUND_VARIABLE_332345 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5030 BOUND_VARIABLE_346412) BOUND_VARIABLE_332344) BOUND_VARIABLE_332345) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332345)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_346412) BOUND_VARIABLE_332344))))))) (let ((_let_11230 (forall ((BOUND_VARIABLE_346426 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332308 tptp.nat) (BOUND_VARIABLE_332309 tptp.set_nat) (BOUND_VARIABLE_332310 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332310)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4657 (ho_4656 k_4655 BOUND_VARIABLE_346426) BOUND_VARIABLE_332308) BOUND_VARIABLE_332309)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_5031 BOUND_VARIABLE_346426) BOUND_VARIABLE_332308) BOUND_VARIABLE_332309) BOUND_VARIABLE_332310))))) (let ((_let_11231 (forall ((BOUND_VARIABLE_346457 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332296 tptp.nat)) (= (ho_4593 (ho_4997 k_5034 BOUND_VARIABLE_346457) BOUND_VARIABLE_332296) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332296)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346457) tptp.bot_bot_set_o))))))) (let ((_let_11232 (forall ((BOUND_VARIABLE_346473 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332283 tptp.set_o) (BOUND_VARIABLE_332284 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5035 BOUND_VARIABLE_346473) BOUND_VARIABLE_332283) BOUND_VARIABLE_332284) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332284)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346473) BOUND_VARIABLE_332283))))))) (let ((_let_11233 (forall ((BOUND_VARIABLE_346487 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332247 Bool) (BOUND_VARIABLE_332248 tptp.set_nat) (BOUND_VARIABLE_332249 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332249)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4660 (ho_4659 k_4658 BOUND_VARIABLE_346487) BOUND_VARIABLE_332247) BOUND_VARIABLE_332248)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5038 (ho_5037 k_5036 BOUND_VARIABLE_346487) BOUND_VARIABLE_332247) BOUND_VARIABLE_332248) BOUND_VARIABLE_332249))))) (let ((_let_11234 (forall ((BOUND_VARIABLE_346518 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332235 tptp.nat)) (= (ho_4593 (ho_5006 k_5039 BOUND_VARIABLE_346518) BOUND_VARIABLE_332235) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332235)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346518) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_11235 (forall ((BOUND_VARIABLE_346534 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332222 tptp.set_Product_unit) (BOUND_VARIABLE_332223 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5040 BOUND_VARIABLE_346534) BOUND_VARIABLE_332222) BOUND_VARIABLE_332223) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332223)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346534) BOUND_VARIABLE_332222))))))) (let ((_let_11236 (forall ((BOUND_VARIABLE_346548 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332186 tptp.product_unit) (BOUND_VARIABLE_332187 tptp.set_nat) (BOUND_VARIABLE_332188 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332188)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4663 (ho_4662 k_4661 BOUND_VARIABLE_346548) BOUND_VARIABLE_332186) BOUND_VARIABLE_332187)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5043 (ho_5042 k_5041 BOUND_VARIABLE_346548) BOUND_VARIABLE_332186) BOUND_VARIABLE_332187) BOUND_VARIABLE_332188))))) (let ((_let_11237 (forall ((BOUND_VARIABLE_346580 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332173 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332174 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_5044 BOUND_VARIABLE_346580) BOUND_VARIABLE_332173) BOUND_VARIABLE_332174) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332174)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_346580) BOUND_VARIABLE_332173))))))) (let ((_let_11238 (forall ((BOUND_VARIABLE_346597 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332160 tptp.set_o) (BOUND_VARIABLE_332161 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5045 BOUND_VARIABLE_346597) BOUND_VARIABLE_332160) BOUND_VARIABLE_332161) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332161)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346597) BOUND_VARIABLE_332160))))))) (let ((_let_11239 (forall ((BOUND_VARIABLE_346614 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332147 tptp.set_Product_unit) (BOUND_VARIABLE_332148 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5046 BOUND_VARIABLE_346614) BOUND_VARIABLE_332147) BOUND_VARIABLE_332148) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332148)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346614) BOUND_VARIABLE_332147))))))) (let ((_let_11240 (forall ((BOUND_VARIABLE_346631 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332134 tptp.set_nat) (BOUND_VARIABLE_332135 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5047 BOUND_VARIABLE_346631) BOUND_VARIABLE_332134) BOUND_VARIABLE_332135) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332135)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_346631) BOUND_VARIABLE_332134))))))) (let ((_let_11241 (forall ((BOUND_VARIABLE_346648 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332121 tptp.set_Product_unit) (BOUND_VARIABLE_332122 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4974 (ho_4973 k_5048 BOUND_VARIABLE_346648) BOUND_VARIABLE_332121) BOUND_VARIABLE_332122) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332122)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_346648) BOUND_VARIABLE_332121))))))) (let ((_let_11242 (forall ((BOUND_VARIABLE_346666 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332108 tptp.set_nat) (BOUND_VARIABLE_332109 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5052 (ho_5051 k_5050 BOUND_VARIABLE_346666) BOUND_VARIABLE_332108) BOUND_VARIABLE_332109) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332109)) (ho_5055 (ho_5054 k_5053 BOUND_VARIABLE_346666) BOUND_VARIABLE_332108))))))) (let ((_let_11243 (forall ((BOUND_VARIABLE_346700 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332095 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332096 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_5056 BOUND_VARIABLE_346700) BOUND_VARIABLE_332095) BOUND_VARIABLE_332096) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332096)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_346700) BOUND_VARIABLE_332095))))))) (let ((_let_11244 (forall ((BOUND_VARIABLE_346717 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_332082 tptp.set_o) (BOUND_VARIABLE_332083 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5057 BOUND_VARIABLE_346717) BOUND_VARIABLE_332082) BOUND_VARIABLE_332083) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332083)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346717) BOUND_VARIABLE_332082))))))) (let ((_let_11245 (forall ((BOUND_VARIABLE_346734 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_332069 tptp.set_Product_unit) (BOUND_VARIABLE_332070 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5058 BOUND_VARIABLE_346734) BOUND_VARIABLE_332069) BOUND_VARIABLE_332070) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332070)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346734) BOUND_VARIABLE_332069))))))) (let ((_let_11246 (forall ((BOUND_VARIABLE_346751 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_332056 tptp.set_nat) (BOUND_VARIABLE_332057 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5059 BOUND_VARIABLE_346751) BOUND_VARIABLE_332056) BOUND_VARIABLE_332057) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332057)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_346751) BOUND_VARIABLE_332056))))))) (let ((_let_11247 (forall ((BOUND_VARIABLE_346767 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332044 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4956 k_5060 BOUND_VARIABLE_346767) BOUND_VARIABLE_332044) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332044)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_346767) tptp.bot_bot_set_o))))))) (let ((_let_11248 (forall ((BOUND_VARIABLE_346782 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_332032 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4968 k_5061 BOUND_VARIABLE_346782) BOUND_VARIABLE_332032) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_332032)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_346782) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_11249 (forall ((BOUND_VARIABLE_346795 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_332015 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_332015)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_346795) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4593 (ho_4983 k_5062 BOUND_VARIABLE_346795) BOUND_VARIABLE_332015))))) (let ((_let_11250 (forall ((BOUND_VARIABLE_346810 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_331998 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331998)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_346810) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 k_5063 BOUND_VARIABLE_346810) BOUND_VARIABLE_331998))))) (let ((_let_11251 (forall ((BOUND_VARIABLE_346827 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_331986 tptp.nat)) (= (ho_4593 (ho_4997 k_5064 BOUND_VARIABLE_346827) BOUND_VARIABLE_331986) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331986)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_346827) tptp.bot_bot_set_o))))))) (let ((_let_11252 (forall ((BOUND_VARIABLE_346842 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331974 tptp.nat)) (= (ho_4593 (ho_5006 k_5065 BOUND_VARIABLE_346842) BOUND_VARIABLE_331974) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331974)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_346842) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_11253 (forall ((BOUND_VARIABLE_331963 tptp.set_set_nat) (BOUND_VARIABLE_331964 tptp.nat)) (= (ho_4593 (ho_5067 k_5066 BOUND_VARIABLE_331963) BOUND_VARIABLE_331964) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331964)) BOUND_VARIABLE_331963)))))) (let ((_let_11254 (forall ((BOUND_VARIABLE_331932 tptp.set_nat) (BOUND_VARIABLE_331933 tptp.set_nat) (BOUND_VARIABLE_331934 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331934)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_4664 BOUND_VARIABLE_331932) BOUND_VARIABLE_331933)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_5069 BOUND_VARIABLE_331932) BOUND_VARIABLE_331933) BOUND_VARIABLE_331934))))) (let ((_let_11255 (forall ((BOUND_VARIABLE_331922 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_331923 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_5071 BOUND_VARIABLE_331922) BOUND_VARIABLE_331923) (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331923)) BOUND_VARIABLE_331922)))))) (let ((_let_11256 (forall ((BOUND_VARIABLE_331891 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331892 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331893 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331893)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_4666 BOUND_VARIABLE_331891) BOUND_VARIABLE_331892)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5073 BOUND_VARIABLE_331891) BOUND_VARIABLE_331892) BOUND_VARIABLE_331893))))) (let ((_let_11257 (forall ((BOUND_VARIABLE_346927 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_331879 tptp.set_nat) (BOUND_VARIABLE_331880 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5052 (ho_5051 k_5075 BOUND_VARIABLE_346927) BOUND_VARIABLE_331879) BOUND_VARIABLE_331880) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331880)) (ho_5055 (ho_5054 k_5053 BOUND_VARIABLE_346927) BOUND_VARIABLE_331879))))))) (let ((_let_11258 (forall ((BOUND_VARIABLE_346944 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_331866 tptp.set_o) (BOUND_VARIABLE_331867 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4962 (ho_4961 k_5076 BOUND_VARIABLE_346944) BOUND_VARIABLE_331866) BOUND_VARIABLE_331867) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331867)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_346944) BOUND_VARIABLE_331866))))))) (let ((_let_11259 (forall ((BOUND_VARIABLE_346961 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_331853 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_331854 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_5077 BOUND_VARIABLE_346961) BOUND_VARIABLE_331853) BOUND_VARIABLE_331854) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331854)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_346961) BOUND_VARIABLE_331853))))))) (let ((_let_11260 (forall ((BOUND_VARIABLE_346978 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_331840 tptp.set_int) (BOUND_VARIABLE_331841 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_5078 BOUND_VARIABLE_346978) BOUND_VARIABLE_331840) BOUND_VARIABLE_331841) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331841)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_346978) BOUND_VARIABLE_331840))))))) (let ((_let_11261 (forall ((BOUND_VARIABLE_347002 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_331827 tptp.set_nat) (BOUND_VARIABLE_331828 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5081 BOUND_VARIABLE_347002) BOUND_VARIABLE_331827) BOUND_VARIABLE_331828) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331828)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_347002) BOUND_VARIABLE_331827))))))) (let ((_let_11262 (forall ((BOUND_VARIABLE_347019 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_331814 tptp.set_o) (BOUND_VARIABLE_331815 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5082 BOUND_VARIABLE_347019) BOUND_VARIABLE_331814) BOUND_VARIABLE_331815) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331815)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_347019) BOUND_VARIABLE_331814))))))) (let ((_let_11263 (forall ((BOUND_VARIABLE_331803 tptp.set_set_nat) (BOUND_VARIABLE_331804 tptp.nat)) (= (ho_4593 (ho_5067 k_5083 BOUND_VARIABLE_331803) BOUND_VARIABLE_331804) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331804)) BOUND_VARIABLE_331803)))))) (let ((_let_11264 (forall ((BOUND_VARIABLE_331772 tptp.set_nat) (BOUND_VARIABLE_331773 tptp.set_nat) (BOUND_VARIABLE_331774 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331774)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_4668 BOUND_VARIABLE_331772) BOUND_VARIABLE_331773)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_5084 BOUND_VARIABLE_331772) BOUND_VARIABLE_331773) BOUND_VARIABLE_331774))))) (let ((_let_11265 (forall ((BOUND_VARIABLE_331762 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_331763 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_5085 BOUND_VARIABLE_331762) BOUND_VARIABLE_331763) (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331763)) BOUND_VARIABLE_331762)))))) (let ((_let_11266 (forall ((BOUND_VARIABLE_331731 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331732 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331733 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331733)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_4669 BOUND_VARIABLE_331731) BOUND_VARIABLE_331732)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5086 BOUND_VARIABLE_331731) BOUND_VARIABLE_331732) BOUND_VARIABLE_331733))))) (let ((_let_11267 (forall ((BOUND_VARIABLE_347092 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_331719 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_331720 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_5087 BOUND_VARIABLE_347092) BOUND_VARIABLE_331719) BOUND_VARIABLE_331720) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331720)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_347092) BOUND_VARIABLE_331719))))))) (let ((_let_11268 (forall ((BOUND_VARIABLE_347109 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_331706 tptp.set_int) (BOUND_VARIABLE_331707 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_5088 BOUND_VARIABLE_347109) BOUND_VARIABLE_331706) BOUND_VARIABLE_331707) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331707)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_347109) BOUND_VARIABLE_331706))))))) (let ((_let_11269 (forall ((BOUND_VARIABLE_347126 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_331693 tptp.set_nat) (BOUND_VARIABLE_331694 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5089 BOUND_VARIABLE_347126) BOUND_VARIABLE_331693) BOUND_VARIABLE_331694) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331694)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_347126) BOUND_VARIABLE_331693))))))) (let ((_let_11270 (forall ((BOUND_VARIABLE_347143 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_331680 tptp.set_o) (BOUND_VARIABLE_331681 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5090 BOUND_VARIABLE_347143) BOUND_VARIABLE_331680) BOUND_VARIABLE_331681) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331681)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_347143) BOUND_VARIABLE_331680))))))) (let ((_let_11271 (forall ((BOUND_VARIABLE_331669 tptp.set_set_nat) (BOUND_VARIABLE_331670 tptp.nat)) (= (ho_4593 (ho_5067 k_5091 BOUND_VARIABLE_331669) BOUND_VARIABLE_331670) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331670)) BOUND_VARIABLE_331669)))))) (let ((_let_11272 (forall ((BOUND_VARIABLE_331638 tptp.set_nat) (BOUND_VARIABLE_331639 tptp.set_nat) (BOUND_VARIABLE_331640 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331640)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_4670 BOUND_VARIABLE_331638) BOUND_VARIABLE_331639)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_5092 BOUND_VARIABLE_331638) BOUND_VARIABLE_331639) BOUND_VARIABLE_331640))))) (let ((_let_11273 (forall ((BOUND_VARIABLE_331628 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_331629 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_5093 BOUND_VARIABLE_331628) BOUND_VARIABLE_331629) (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331629)) BOUND_VARIABLE_331628)))))) (let ((_let_11274 (forall ((BOUND_VARIABLE_331597 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331598 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331599 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331599)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_4671 BOUND_VARIABLE_331597) BOUND_VARIABLE_331598)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5094 BOUND_VARIABLE_331597) BOUND_VARIABLE_331598) BOUND_VARIABLE_331599))))) (let ((_let_11275 (forall ((BOUND_VARIABLE_347216 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331585 tptp.set_Product_unit) (BOUND_VARIABLE_331586 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5095 BOUND_VARIABLE_347216) BOUND_VARIABLE_331585) BOUND_VARIABLE_331586) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331586)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_347216) BOUND_VARIABLE_331585))))))) (let ((_let_11276 (forall ((BOUND_VARIABLE_347233 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331572 tptp.set_Product_unit) (BOUND_VARIABLE_331573 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5096 BOUND_VARIABLE_347233) BOUND_VARIABLE_331572) BOUND_VARIABLE_331573) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331573)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_347233) BOUND_VARIABLE_331572))))))) (let ((_let_11277 (forall ((BOUND_VARIABLE_347250 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331559 tptp.set_Product_unit) (BOUND_VARIABLE_331560 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5097 BOUND_VARIABLE_347250) BOUND_VARIABLE_331559) BOUND_VARIABLE_331560) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331560)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_347250) BOUND_VARIABLE_331559))))))) (let ((_let_11278 (forall ((BOUND_VARIABLE_347265 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_347264 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331521 tptp.product_unit) (BOUND_VARIABLE_331522 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331522)) (ho_4699 (ho_4698 k_4697 (ho_4643 (ho_4642 (ho_4673 k_4672 BOUND_VARIABLE_347265) BOUND_VARIABLE_347264) BOUND_VARIABLE_331521)) tptp.top_top_set_o))) (ho_4593 (ho_4940 (ho_5012 (ho_5099 k_5098 BOUND_VARIABLE_347265) BOUND_VARIABLE_347264) BOUND_VARIABLE_331521) BOUND_VARIABLE_331522))))) (let ((_let_11279 (forall ((BOUND_VARIABLE_331509 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331510 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331511 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5100 BOUND_VARIABLE_331509) BOUND_VARIABLE_331510) BOUND_VARIABLE_331511) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_331511) BOUND_VARIABLE_331509) BOUND_VARIABLE_331510))))) (let ((_let_11280 (forall ((BOUND_VARIABLE_331499 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331500 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331501 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5101 BOUND_VARIABLE_331499) BOUND_VARIABLE_331500) BOUND_VARIABLE_331501) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_331501) BOUND_VARIABLE_331499) BOUND_VARIABLE_331500))))) (let ((_let_11281 (forall ((BOUND_VARIABLE_331489 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331490 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331491 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5102 BOUND_VARIABLE_331489) BOUND_VARIABLE_331490) BOUND_VARIABLE_331491) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_331491) BOUND_VARIABLE_331489) BOUND_VARIABLE_331490))))) (let ((_let_11282 (forall ((BOUND_VARIABLE_331479 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331480 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331481 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5103 BOUND_VARIABLE_331479) BOUND_VARIABLE_331480) BOUND_VARIABLE_331481) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_331481) BOUND_VARIABLE_331479) BOUND_VARIABLE_331480))))) (let ((_let_11283 (forall ((BOUND_VARIABLE_331469 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331470 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331471 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5104 BOUND_VARIABLE_331469) BOUND_VARIABLE_331470) BOUND_VARIABLE_331471) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_331471) BOUND_VARIABLE_331469) BOUND_VARIABLE_331470))))) (let ((_let_11284 (forall ((BOUND_VARIABLE_347354 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_331457 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331458 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_5105 BOUND_VARIABLE_347354) BOUND_VARIABLE_331457) BOUND_VARIABLE_331458) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331458)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_347354) BOUND_VARIABLE_331457))))))) (let ((_let_11285 (forall ((BOUND_VARIABLE_347386 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_331444 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331445 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_5111 BOUND_VARIABLE_347386) BOUND_VARIABLE_331444) BOUND_VARIABLE_331445) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331445)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_347386) BOUND_VARIABLE_331444))))))) (let ((_let_11286 (forall ((BOUND_VARIABLE_347404 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_331431 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331432 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_5113 BOUND_VARIABLE_347404) BOUND_VARIABLE_331431) BOUND_VARIABLE_331432) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331432)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_347404) BOUND_VARIABLE_331431))))))) (let ((_let_11287 (forall ((BOUND_VARIABLE_347438 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_331418 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331419 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_5119 BOUND_VARIABLE_347438) BOUND_VARIABLE_331418) BOUND_VARIABLE_331419) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331419)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_347438) BOUND_VARIABLE_331418))))))) (let ((_let_11288 (forall ((BOUND_VARIABLE_331407 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331408 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331409 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5120 BOUND_VARIABLE_331407) BOUND_VARIABLE_331408) BOUND_VARIABLE_331409) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_331409) BOUND_VARIABLE_331407) BOUND_VARIABLE_331408))))) (let ((_let_11289 (forall ((BOUND_VARIABLE_347468 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_331395 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331396 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 (ho_5123 k_5122 BOUND_VARIABLE_347468) BOUND_VARIABLE_331395) BOUND_VARIABLE_331396) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331396)) (ho_5126 (ho_5125 k_5124 BOUND_VARIABLE_347468) BOUND_VARIABLE_331395))))))) (let ((_let_11290 (forall ((BOUND_VARIABLE_347499 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_331382 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331383 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 (ho_5123 k_5127 BOUND_VARIABLE_347499) BOUND_VARIABLE_331382) BOUND_VARIABLE_331383) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331383)) (ho_5126 (ho_5125 k_5124 BOUND_VARIABLE_347499) BOUND_VARIABLE_331382))))))) (let ((_let_11291 (forall ((BOUND_VARIABLE_347517 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_331369 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331370 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5131 (ho_5130 k_5129 BOUND_VARIABLE_347517) BOUND_VARIABLE_331369) BOUND_VARIABLE_331370) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331370)) (ho_5134 (ho_5133 k_5132 BOUND_VARIABLE_347517) BOUND_VARIABLE_331369))))))) (let ((_let_11292 (forall ((BOUND_VARIABLE_347551 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_331356 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331357 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5131 (ho_5130 k_5135 BOUND_VARIABLE_347551) BOUND_VARIABLE_331356) BOUND_VARIABLE_331357) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_331357)) (ho_5134 (ho_5133 k_5132 BOUND_VARIABLE_347551) BOUND_VARIABLE_331356))))))) (let ((_let_11293 (forall ((BOUND_VARIABLE_347568 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331343 tptp.set_Product_unit) (BOUND_VARIABLE_331344 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5136 BOUND_VARIABLE_347568) BOUND_VARIABLE_331343) BOUND_VARIABLE_331344) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331344)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_347568) BOUND_VARIABLE_331343))))))) (let ((_let_11294 (forall ((BOUND_VARIABLE_347585 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_331330 tptp.set_Product_unit) (BOUND_VARIABLE_331331 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5137 BOUND_VARIABLE_347585) BOUND_VARIABLE_331330) BOUND_VARIABLE_331331) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_331331)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_347585) BOUND_VARIABLE_331330))))))) (let ((_let_11295 (forall ((BOUND_VARIABLE_331296 tptp.nat) (BOUND_VARIABLE_331297 tptp.set_nat) (BOUND_VARIABLE_331298 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331298)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4674 BOUND_VARIABLE_331296)) BOUND_VARIABLE_331297))) (ho_4575 (ho_4758 (ho_4757 k_5138 BOUND_VARIABLE_331296) BOUND_VARIABLE_331297) BOUND_VARIABLE_331298))))) (let ((_let_11296 (forall ((BOUND_VARIABLE_331263 tptp.nat) (BOUND_VARIABLE_331264 tptp.set_nat) (BOUND_VARIABLE_331265 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331265)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4675 BOUND_VARIABLE_331263)) BOUND_VARIABLE_331264))) (ho_4575 (ho_4758 (ho_4757 k_5139 BOUND_VARIABLE_331263) BOUND_VARIABLE_331264) BOUND_VARIABLE_331265))))) (let ((_let_11297 (forall ((BOUND_VARIABLE_331230 tptp.nat) (BOUND_VARIABLE_331231 tptp.set_nat) (BOUND_VARIABLE_331232 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331232)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4676 BOUND_VARIABLE_331230)) BOUND_VARIABLE_331231))) (ho_4575 (ho_4758 (ho_4757 k_5140 BOUND_VARIABLE_331230) BOUND_VARIABLE_331231) BOUND_VARIABLE_331232))))) (let ((_let_11298 (forall ((BOUND_VARIABLE_347649 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_347647 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_331194 tptp.nat) (BOUND_VARIABLE_331195 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331195)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4677 BOUND_VARIABLE_331194)) (ho_4560 (ho_4559 k_4928 (ho_4551 BOUND_VARIABLE_347649 BOUND_VARIABLE_331194)) (ho_4551 BOUND_VARIABLE_347647 BOUND_VARIABLE_331194))))) (ho_4575 (ho_4574 (ho_4573 (ho_5142 k_5141 BOUND_VARIABLE_347649) BOUND_VARIABLE_347647) BOUND_VARIABLE_331194) BOUND_VARIABLE_331195))))) (let ((_let_11299 (forall ((BOUND_VARIABLE_347676 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_331159 tptp.nat) (BOUND_VARIABLE_331160 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331160)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4678 BOUND_VARIABLE_331159)) (ho_4551 BOUND_VARIABLE_347676 BOUND_VARIABLE_331159)))) (ho_4575 (ho_4574 (ho_4573 k_5143 BOUND_VARIABLE_347676) BOUND_VARIABLE_331159) BOUND_VARIABLE_331160))))) (let ((_let_11300 (forall ((BOUND_VARIABLE_347695 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_331125 tptp.nat) (BOUND_VARIABLE_331126 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331126)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4679 BOUND_VARIABLE_331125)) (ho_4551 BOUND_VARIABLE_347695 BOUND_VARIABLE_331125)))) (ho_4575 (ho_4574 (ho_4573 k_5144 BOUND_VARIABLE_347695) BOUND_VARIABLE_331125) BOUND_VARIABLE_331126))))) (let ((_let_11301 (forall ((BOUND_VARIABLE_331091 tptp.nat) (BOUND_VARIABLE_331092 tptp.set_nat) (BOUND_VARIABLE_331093 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331093)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4680 BOUND_VARIABLE_331091)) BOUND_VARIABLE_331092))) (ho_4575 (ho_4758 (ho_4757 k_5145 BOUND_VARIABLE_331091) BOUND_VARIABLE_331092) BOUND_VARIABLE_331093))))) (let ((_let_11302 (forall ((BOUND_VARIABLE_331058 tptp.nat) (BOUND_VARIABLE_331059 tptp.set_nat) (BOUND_VARIABLE_331060 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331060)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4681 BOUND_VARIABLE_331058)) BOUND_VARIABLE_331059))) (ho_4575 (ho_4758 (ho_4757 k_5146 BOUND_VARIABLE_331058) BOUND_VARIABLE_331059) BOUND_VARIABLE_331060))))) (let ((_let_11303 (forall ((BOUND_VARIABLE_331022 tptp.nat) (BOUND_VARIABLE_331023 tptp.set_nat) (BOUND_VARIABLE_331024 tptp.set_nat) (BOUND_VARIABLE_331025 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_331025)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4682 BOUND_VARIABLE_331022)) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_331023) BOUND_VARIABLE_331024)))) (ho_4575 (ho_4758 (ho_5149 (ho_5148 k_5147 BOUND_VARIABLE_331022) BOUND_VARIABLE_331023) BOUND_VARIABLE_331024) BOUND_VARIABLE_331025))))) (let ((_let_11304 (forall ((BOUND_VARIABLE_330989 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330990 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330991 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330991)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4683 BOUND_VARIABLE_330989)) BOUND_VARIABLE_330990))) (ho_4544 (ho_4543 (ho_4542 k_5150 BOUND_VARIABLE_330989) BOUND_VARIABLE_330990) BOUND_VARIABLE_330991))))) (let ((_let_11305 (forall ((BOUND_VARIABLE_330954 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330955 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330956 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330956)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_4684 BOUND_VARIABLE_330954)) BOUND_VARIABLE_330955))) (ho_4544 (ho_4543 (ho_5152 k_5151 BOUND_VARIABLE_330954) BOUND_VARIABLE_330955) BOUND_VARIABLE_330956))))) (let ((_let_11306 (forall ((BOUND_VARIABLE_330919 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330920 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330921 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330921)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_4686 BOUND_VARIABLE_330919)) BOUND_VARIABLE_330920))) (ho_4544 (ho_4543 (ho_5152 k_5153 BOUND_VARIABLE_330919) BOUND_VARIABLE_330920) BOUND_VARIABLE_330921))))) (let ((_let_11307 (forall ((BOUND_VARIABLE_330886 tptp.nat) (BOUND_VARIABLE_330887 tptp.set_nat) (BOUND_VARIABLE_330888 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330888)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4687 BOUND_VARIABLE_330886)) BOUND_VARIABLE_330887))) (ho_4575 (ho_4758 (ho_4757 k_5154 BOUND_VARIABLE_330886) BOUND_VARIABLE_330887) BOUND_VARIABLE_330888))))) (let ((_let_11308 (forall ((BOUND_VARIABLE_330853 tptp.nat) (BOUND_VARIABLE_330854 tptp.set_nat) (BOUND_VARIABLE_330855 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330855)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4688 BOUND_VARIABLE_330853)) BOUND_VARIABLE_330854))) (ho_4575 (ho_4758 (ho_4757 k_5155 BOUND_VARIABLE_330853) BOUND_VARIABLE_330854) BOUND_VARIABLE_330855))))) (let ((_let_11309 (forall ((BOUND_VARIABLE_330820 tptp.nat) (BOUND_VARIABLE_330821 tptp.set_nat) (BOUND_VARIABLE_330822 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330822)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4689 BOUND_VARIABLE_330820)) BOUND_VARIABLE_330821))) (ho_4575 (ho_4758 (ho_4757 k_5156 BOUND_VARIABLE_330820) BOUND_VARIABLE_330821) BOUND_VARIABLE_330822))))) (let ((_let_11310 (forall ((BOUND_VARIABLE_330810 tptp.set_nat) (BOUND_VARIABLE_330811 tptp.set_nat) (BOUND_VARIABLE_330812 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5157 BOUND_VARIABLE_330810) BOUND_VARIABLE_330811) BOUND_VARIABLE_330812) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_330812) BOUND_VARIABLE_330810) BOUND_VARIABLE_330811))))) (let ((_let_11311 (forall ((BOUND_VARIABLE_347885 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_347883 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_330774 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330775 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330775)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4690 BOUND_VARIABLE_330774)) (ho_5160 (ho_5159 k_5158 (ho_4546 BOUND_VARIABLE_347885 BOUND_VARIABLE_330774)) (ho_4546 BOUND_VARIABLE_347883 BOUND_VARIABLE_330774))))) (ho_4544 (ho_4549 (ho_4548 (ho_5162 k_5161 BOUND_VARIABLE_347885) BOUND_VARIABLE_347883) BOUND_VARIABLE_330774) BOUND_VARIABLE_330775))))) (let ((_let_11312 (forall ((BOUND_VARIABLE_347919 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_330736 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330737 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330737)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_4691 BOUND_VARIABLE_347919)) BOUND_VARIABLE_330736))) (ho_4544 (ho_4543 (ho_5164 k_5163 BOUND_VARIABLE_347919) BOUND_VARIABLE_330736) BOUND_VARIABLE_330737))))) (let ((_let_11313 (forall ((BOUND_VARIABLE_347941 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_330699 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330700 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330700)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_4693 BOUND_VARIABLE_347941)) BOUND_VARIABLE_330699))) (ho_4544 (ho_4543 (ho_5164 k_5165 BOUND_VARIABLE_347941) BOUND_VARIABLE_330699) BOUND_VARIABLE_330700))))) (let ((_let_11314 (forall ((BOUND_VARIABLE_347959 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330665 tptp.nat) (BOUND_VARIABLE_330666 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330666)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4694 BOUND_VARIABLE_330665)) (ho_4551 BOUND_VARIABLE_347959 BOUND_VARIABLE_330665)))) (ho_4575 (ho_4574 (ho_4573 k_5166 BOUND_VARIABLE_347959) BOUND_VARIABLE_330665) BOUND_VARIABLE_330666))))) (let ((_let_11315 (forall ((BOUND_VARIABLE_347978 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330631 tptp.nat) (BOUND_VARIABLE_330632 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330632)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4695 BOUND_VARIABLE_330631)) (ho_4551 BOUND_VARIABLE_347978 BOUND_VARIABLE_330631)))) (ho_4575 (ho_4574 (ho_4573 k_5167 BOUND_VARIABLE_347978) BOUND_VARIABLE_330631) BOUND_VARIABLE_330632))))) (let ((_let_11316 (forall ((BOUND_VARIABLE_347998 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_347997 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330567 tptp.nat) (BOUND_VARIABLE_330568 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330568)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4696 BOUND_VARIABLE_330567)) (ho_4845 k_4844 (ho_4511 (ho_4707 (ho_4706 k_4705 BOUND_VARIABLE_347998) BOUND_VARIABLE_347997) BOUND_VARIABLE_330567))))) (ho_4575 (ho_4574 (ho_4573 (ho_5142 k_5168 BOUND_VARIABLE_347998) BOUND_VARIABLE_347997) BOUND_VARIABLE_330567) BOUND_VARIABLE_330568))))) (let ((_let_11317 (forall ((BOUND_VARIABLE_348022 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330532 tptp.nat) (BOUND_VARIABLE_330533 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330533)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4708 BOUND_VARIABLE_330532)) (ho_4551 BOUND_VARIABLE_348022 BOUND_VARIABLE_330532)))) (ho_4575 (ho_4574 (ho_4573 k_5169 BOUND_VARIABLE_348022) BOUND_VARIABLE_330532) BOUND_VARIABLE_330533))))) (let ((_let_11318 (forall ((BOUND_VARIABLE_348041 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330498 tptp.nat) (BOUND_VARIABLE_330499 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330499)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4709 BOUND_VARIABLE_330498)) (ho_4551 BOUND_VARIABLE_348041 BOUND_VARIABLE_330498)))) (ho_4575 (ho_4574 (ho_4573 k_5170 BOUND_VARIABLE_348041) BOUND_VARIABLE_330498) BOUND_VARIABLE_330499))))) (let ((_let_11319 (forall ((BOUND_VARIABLE_348060 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330464 tptp.nat) (BOUND_VARIABLE_330465 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330465)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4710 BOUND_VARIABLE_330464)) (ho_4551 BOUND_VARIABLE_348060 BOUND_VARIABLE_330464)))) (ho_4575 (ho_4574 (ho_4573 k_5171 BOUND_VARIABLE_348060) BOUND_VARIABLE_330464) BOUND_VARIABLE_330465))))) (let ((_let_11320 (forall ((BOUND_VARIABLE_348079 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_330430 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330431 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330431)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4711 BOUND_VARIABLE_330430)) (ho_4546 BOUND_VARIABLE_348079 BOUND_VARIABLE_330430)))) (ho_4544 (ho_4549 (ho_4548 k_5172 BOUND_VARIABLE_348079) BOUND_VARIABLE_330430) BOUND_VARIABLE_330431))))) (let ((_let_11321 (forall ((BOUND_VARIABLE_348098 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_330393 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330394 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330394)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_4712 BOUND_VARIABLE_348098)) BOUND_VARIABLE_330393))) (ho_4544 (ho_4543 (ho_5164 k_5173 BOUND_VARIABLE_348098) BOUND_VARIABLE_330393) BOUND_VARIABLE_330394))))) (let ((_let_11322 (forall ((BOUND_VARIABLE_348116 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_330356 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330357 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330357)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_4713 BOUND_VARIABLE_348116)) BOUND_VARIABLE_330356))) (ho_4544 (ho_4543 (ho_5164 k_5174 BOUND_VARIABLE_348116) BOUND_VARIABLE_330356) BOUND_VARIABLE_330357))))) (let ((_let_11323 (forall ((BOUND_VARIABLE_348134 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330322 tptp.nat) (BOUND_VARIABLE_330323 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330323)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4714 BOUND_VARIABLE_330322)) (ho_4551 BOUND_VARIABLE_348134 BOUND_VARIABLE_330322)))) (ho_4575 (ho_4574 (ho_4573 k_5175 BOUND_VARIABLE_348134) BOUND_VARIABLE_330322) BOUND_VARIABLE_330323))))) (let ((_let_11324 (forall ((BOUND_VARIABLE_348153 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330288 tptp.nat) (BOUND_VARIABLE_330289 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330289)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4715 BOUND_VARIABLE_330288)) (ho_4551 BOUND_VARIABLE_348153 BOUND_VARIABLE_330288)))) (ho_4575 (ho_4574 (ho_4573 k_5176 BOUND_VARIABLE_348153) BOUND_VARIABLE_330288) BOUND_VARIABLE_330289))))) (let ((_let_11325 (forall ((BOUND_VARIABLE_348172 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330254 tptp.nat) (BOUND_VARIABLE_330255 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_330255)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4716 BOUND_VARIABLE_330254)) (ho_4551 BOUND_VARIABLE_348172 BOUND_VARIABLE_330254)))) (ho_4575 (ho_4574 (ho_4573 k_5177 BOUND_VARIABLE_348172) BOUND_VARIABLE_330254) BOUND_VARIABLE_330255))))) (let ((_let_11326 (forall ((BOUND_VARIABLE_330243 tptp.set_nat) (BOUND_VARIABLE_330244 tptp.set_nat) (BOUND_VARIABLE_330245 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5178 BOUND_VARIABLE_330243) BOUND_VARIABLE_330244) BOUND_VARIABLE_330245) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_330245) BOUND_VARIABLE_330243) BOUND_VARIABLE_330244))))) (let ((_let_11327 (forall ((BOUND_VARIABLE_348206 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_330231 tptp.set_Product_unit) (BOUND_VARIABLE_330232 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4974 (ho_4973 k_5179 BOUND_VARIABLE_348206) BOUND_VARIABLE_330231) BOUND_VARIABLE_330232) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330232)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_348206) BOUND_VARIABLE_330231))))))) (let ((_let_11328 (forall ((BOUND_VARIABLE_348223 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_330218 tptp.set_nat) (BOUND_VARIABLE_330219 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5052 (ho_5051 k_5180 BOUND_VARIABLE_348223) BOUND_VARIABLE_330218) BOUND_VARIABLE_330219) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_330219)) (ho_5055 (ho_5054 k_5053 BOUND_VARIABLE_348223) BOUND_VARIABLE_330218))))))) (let ((_let_11329 (forall ((BOUND_VARIABLE_348240 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_330205 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330206 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_5181 BOUND_VARIABLE_348240) BOUND_VARIABLE_330205) BOUND_VARIABLE_330206) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330206)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_348240) BOUND_VARIABLE_330205))))))) (let ((_let_11330 (forall ((BOUND_VARIABLE_348257 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_330192 tptp.set_o) (BOUND_VARIABLE_330193 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5182 BOUND_VARIABLE_348257) BOUND_VARIABLE_330192) BOUND_VARIABLE_330193) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330193)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_348257) BOUND_VARIABLE_330192))))))) (let ((_let_11331 (forall ((BOUND_VARIABLE_348274 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_330179 tptp.set_Product_unit) (BOUND_VARIABLE_330180 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5183 BOUND_VARIABLE_348274) BOUND_VARIABLE_330179) BOUND_VARIABLE_330180) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330180)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_348274) BOUND_VARIABLE_330179))))))) (let ((_let_11332 (forall ((BOUND_VARIABLE_348291 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330166 tptp.set_nat) (BOUND_VARIABLE_330167 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5184 BOUND_VARIABLE_348291) BOUND_VARIABLE_330166) BOUND_VARIABLE_330167) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330167)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_348291) BOUND_VARIABLE_330166))))))) (let ((_let_11333 (forall ((BOUND_VARIABLE_348305 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330130 tptp.nat) (BOUND_VARIABLE_330131 tptp.set_nat) (BOUND_VARIABLE_330132 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330132)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4657 (ho_4656 k_4717 BOUND_VARIABLE_348305) BOUND_VARIABLE_330130) BOUND_VARIABLE_330131)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_5185 BOUND_VARIABLE_348305) BOUND_VARIABLE_330130) BOUND_VARIABLE_330131) BOUND_VARIABLE_330132))))) (let ((_let_11334 (forall ((BOUND_VARIABLE_348327 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330093 tptp.nat) (BOUND_VARIABLE_330094 tptp.set_nat) (BOUND_VARIABLE_330095 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330095)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4657 (ho_4656 k_4718 BOUND_VARIABLE_348327) BOUND_VARIABLE_330093) BOUND_VARIABLE_330094)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_5186 BOUND_VARIABLE_348327) BOUND_VARIABLE_330093) BOUND_VARIABLE_330094) BOUND_VARIABLE_330095))))) (let ((_let_11335 (forall ((BOUND_VARIABLE_348352 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_330080 tptp.set_nat) (BOUND_VARIABLE_330081 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5187 BOUND_VARIABLE_348352) BOUND_VARIABLE_330080) BOUND_VARIABLE_330081) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330081)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_348352) BOUND_VARIABLE_330080))))))) (let ((_let_11336 (forall ((BOUND_VARIABLE_348366 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_330044 Bool) (BOUND_VARIABLE_330045 tptp.set_nat) (BOUND_VARIABLE_330046 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330046)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4660 (ho_4659 k_4719 BOUND_VARIABLE_348366) BOUND_VARIABLE_330044) BOUND_VARIABLE_330045)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5038 (ho_5037 k_5188 BOUND_VARIABLE_348366) BOUND_VARIABLE_330044) BOUND_VARIABLE_330045) BOUND_VARIABLE_330046))))) (let ((_let_11337 (forall ((BOUND_VARIABLE_348388 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_330007 Bool) (BOUND_VARIABLE_330008 tptp.set_nat) (BOUND_VARIABLE_330009 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_330009)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4660 (ho_4659 k_4720 BOUND_VARIABLE_348388) BOUND_VARIABLE_330007) BOUND_VARIABLE_330008)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5038 (ho_5037 k_5189 BOUND_VARIABLE_348388) BOUND_VARIABLE_330007) BOUND_VARIABLE_330008) BOUND_VARIABLE_330009))))) (let ((_let_11338 (forall ((BOUND_VARIABLE_348413 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_329994 tptp.set_o) (BOUND_VARIABLE_329995 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5190 BOUND_VARIABLE_348413) BOUND_VARIABLE_329994) BOUND_VARIABLE_329995) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329995)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_348413) BOUND_VARIABLE_329994))))))) (let ((_let_11339 (forall ((BOUND_VARIABLE_348427 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_329958 tptp.product_unit) (BOUND_VARIABLE_329959 tptp.set_nat) (BOUND_VARIABLE_329960 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329960)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4663 (ho_4662 k_4721 BOUND_VARIABLE_348427) BOUND_VARIABLE_329958) BOUND_VARIABLE_329959)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5043 (ho_5042 k_5191 BOUND_VARIABLE_348427) BOUND_VARIABLE_329958) BOUND_VARIABLE_329959) BOUND_VARIABLE_329960))))) (let ((_let_11340 (forall ((BOUND_VARIABLE_348449 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_329921 tptp.product_unit) (BOUND_VARIABLE_329922 tptp.set_nat) (BOUND_VARIABLE_329923 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329923)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4663 (ho_4662 k_4722 BOUND_VARIABLE_348449) BOUND_VARIABLE_329921) BOUND_VARIABLE_329922)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5043 (ho_5042 k_5192 BOUND_VARIABLE_348449) BOUND_VARIABLE_329921) BOUND_VARIABLE_329922) BOUND_VARIABLE_329923))))) (let ((_let_11341 (forall ((BOUND_VARIABLE_348474 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_329908 tptp.set_Product_unit) (BOUND_VARIABLE_329909 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5193 BOUND_VARIABLE_348474) BOUND_VARIABLE_329908) BOUND_VARIABLE_329909) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329909)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_348474) BOUND_VARIABLE_329908))))))) (let ((_let_11342 (forall ((BOUND_VARIABLE_329871 tptp.set_nat) (BOUND_VARIABLE_348488 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329873 tptp.nat) (BOUND_VARIABLE_329874 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329874)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_4554 (ho_4634 k_4723 BOUND_VARIABLE_329871) BOUND_VARIABLE_348488) BOUND_VARIABLE_329873)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_4707 (ho_4995 k_5194 BOUND_VARIABLE_329871) BOUND_VARIABLE_348488) BOUND_VARIABLE_329873) BOUND_VARIABLE_329874))))) (let ((_let_11343 (forall ((BOUND_VARIABLE_329834 tptp.set_nat) (BOUND_VARIABLE_348510 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329836 tptp.nat) (BOUND_VARIABLE_329837 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329837)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_4554 (ho_4634 k_4724 BOUND_VARIABLE_329834) BOUND_VARIABLE_348510) BOUND_VARIABLE_329836)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_4707 (ho_4995 k_5195 BOUND_VARIABLE_329834) BOUND_VARIABLE_348510) BOUND_VARIABLE_329836) BOUND_VARIABLE_329837))))) (let ((_let_11344 (forall ((BOUND_VARIABLE_348535 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329822 tptp.set_nat) (BOUND_VARIABLE_329823 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5196 BOUND_VARIABLE_348535) BOUND_VARIABLE_329822) BOUND_VARIABLE_329823) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329823)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_348535) BOUND_VARIABLE_329822))))))) (let ((_let_11345 (forall ((BOUND_VARIABLE_329785 tptp.set_nat) (BOUND_VARIABLE_348549 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_329787 Bool) (BOUND_VARIABLE_329788 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329788)) (ho_4699 (ho_4698 k_4697 (ho_4638 (ho_4637 (ho_4636 k_4725 BOUND_VARIABLE_329785) BOUND_VARIABLE_348549) BOUND_VARIABLE_329787)) tptp.top_top_set_o))) (ho_4593 (ho_5004 (ho_5003 (ho_5002 k_5197 BOUND_VARIABLE_329785) BOUND_VARIABLE_348549) BOUND_VARIABLE_329787) BOUND_VARIABLE_329788))))) (let ((_let_11346 (forall ((BOUND_VARIABLE_329748 tptp.set_nat) (BOUND_VARIABLE_348571 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_329750 Bool) (BOUND_VARIABLE_329751 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329751)) (ho_4699 (ho_4698 k_4697 (ho_4638 (ho_4637 (ho_4636 k_4726 BOUND_VARIABLE_329748) BOUND_VARIABLE_348571) BOUND_VARIABLE_329750)) tptp.top_top_set_o))) (ho_4593 (ho_5004 (ho_5003 (ho_5002 k_5198 BOUND_VARIABLE_329748) BOUND_VARIABLE_348571) BOUND_VARIABLE_329750) BOUND_VARIABLE_329751))))) (let ((_let_11347 (forall ((BOUND_VARIABLE_348596 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_329736 tptp.set_o) (BOUND_VARIABLE_329737 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_5199 BOUND_VARIABLE_348596) BOUND_VARIABLE_329736) BOUND_VARIABLE_329737) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329737)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_348596) BOUND_VARIABLE_329736))))))) (let ((_let_11348 (forall ((BOUND_VARIABLE_329699 tptp.set_nat) (BOUND_VARIABLE_348610 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_329701 tptp.product_unit) (BOUND_VARIABLE_329702 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329702)) (ho_4699 (ho_4698 k_4697 (ho_4643 (ho_4642 (ho_4641 k_4727 BOUND_VARIABLE_329699) BOUND_VARIABLE_348610) BOUND_VARIABLE_329701)) tptp.top_top_set_o))) (ho_4593 (ho_4940 (ho_5012 (ho_5011 k_5200 BOUND_VARIABLE_329699) BOUND_VARIABLE_348610) BOUND_VARIABLE_329701) BOUND_VARIABLE_329702))))) (let ((_let_11349 (forall ((BOUND_VARIABLE_329662 tptp.set_nat) (BOUND_VARIABLE_348632 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_329664 tptp.product_unit) (BOUND_VARIABLE_329665 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329665)) (ho_4699 (ho_4698 k_4697 (ho_4643 (ho_4642 (ho_4641 k_4728 BOUND_VARIABLE_329662) BOUND_VARIABLE_348632) BOUND_VARIABLE_329664)) tptp.top_top_set_o))) (ho_4593 (ho_4940 (ho_5012 (ho_5011 k_5201 BOUND_VARIABLE_329662) BOUND_VARIABLE_348632) BOUND_VARIABLE_329664) BOUND_VARIABLE_329665))))) (let ((_let_11350 (forall ((BOUND_VARIABLE_348657 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_329650 tptp.set_Product_unit) (BOUND_VARIABLE_329651 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_5202 BOUND_VARIABLE_348657) BOUND_VARIABLE_329650) BOUND_VARIABLE_329651) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329651)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_348657) BOUND_VARIABLE_329650))))))) (let ((_let_11351 (forall ((BOUND_VARIABLE_329639 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329640 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329641 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5203 BOUND_VARIABLE_329639) BOUND_VARIABLE_329640) BOUND_VARIABLE_329641) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_329641) BOUND_VARIABLE_329639) BOUND_VARIABLE_329640))))) (let ((_let_11352 (forall ((BOUND_VARIABLE_348686 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_329627 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329628 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_5204 BOUND_VARIABLE_348686) BOUND_VARIABLE_329627) BOUND_VARIABLE_329628) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329628)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_348686) BOUND_VARIABLE_329627))))))) (let ((_let_11353 (forall ((BOUND_VARIABLE_348703 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_329614 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329615 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_5205 BOUND_VARIABLE_348703) BOUND_VARIABLE_329614) BOUND_VARIABLE_329615) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329615)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_348703) BOUND_VARIABLE_329614))))))) (let ((_let_11354 (forall ((BOUND_VARIABLE_348720 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_329601 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329602 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_5206 BOUND_VARIABLE_348720) BOUND_VARIABLE_329601) BOUND_VARIABLE_329602) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329602)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_348720) BOUND_VARIABLE_329601))))))) (let ((_let_11355 (forall ((BOUND_VARIABLE_348737 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_329588 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329589 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_5207 BOUND_VARIABLE_348737) BOUND_VARIABLE_329588) BOUND_VARIABLE_329589) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_329589)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_348737) BOUND_VARIABLE_329588))))))) (let ((_let_11356 (forall ((BOUND_VARIABLE_329577 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329578 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329579 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5208 BOUND_VARIABLE_329577) BOUND_VARIABLE_329578) BOUND_VARIABLE_329579) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_329579) BOUND_VARIABLE_329577) BOUND_VARIABLE_329578))))) (let ((_let_11357 (forall ((BOUND_VARIABLE_348766 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_329565 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329566 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 (ho_5123 k_5209 BOUND_VARIABLE_348766) BOUND_VARIABLE_329565) BOUND_VARIABLE_329566) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_329566)) (ho_5126 (ho_5125 k_5124 BOUND_VARIABLE_348766) BOUND_VARIABLE_329565))))))) (let ((_let_11358 (forall ((BOUND_VARIABLE_348783 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_329552 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329553 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 (ho_5123 k_5210 BOUND_VARIABLE_348783) BOUND_VARIABLE_329552) BOUND_VARIABLE_329553) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_329553)) (ho_5126 (ho_5125 k_5124 BOUND_VARIABLE_348783) BOUND_VARIABLE_329552))))))) (let ((_let_11359 (forall ((BOUND_VARIABLE_348800 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_329539 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329540 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5131 (ho_5130 k_5211 BOUND_VARIABLE_348800) BOUND_VARIABLE_329539) BOUND_VARIABLE_329540) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_329540)) (ho_5134 (ho_5133 k_5132 BOUND_VARIABLE_348800) BOUND_VARIABLE_329539))))))) (let ((_let_11360 (forall ((BOUND_VARIABLE_348817 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_329526 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329527 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5131 (ho_5130 k_5212 BOUND_VARIABLE_348817) BOUND_VARIABLE_329526) BOUND_VARIABLE_329527) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_329527)) (ho_5134 (ho_5133 k_5132 BOUND_VARIABLE_348817) BOUND_VARIABLE_329526))))))) (let ((_let_11361 (forall ((BOUND_VARIABLE_348833 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_329518 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 k_5213 BOUND_VARIABLE_348833) BOUND_VARIABLE_329518) (not (ho_4599 BOUND_VARIABLE_348833 BOUND_VARIABLE_329518)))))) (let ((_let_11362 (forall ((BOUND_VARIABLE_348847 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_329510 tptp.nat)) (= (ho_4593 (ho_5216 k_5215 BOUND_VARIABLE_348847) BOUND_VARIABLE_329510) (not (ho_4593 BOUND_VARIABLE_348847 BOUND_VARIABLE_329510)))))) (let ((_let_11363 (forall ((BOUND_VARIABLE_348861 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_329502 tptp.nat)) (= (ho_4593 (ho_5216 k_5217 BOUND_VARIABLE_348861) BOUND_VARIABLE_329502) (not (ho_4593 BOUND_VARIABLE_348861 BOUND_VARIABLE_329502)))))) (let ((_let_11364 (forall ((BOUND_VARIABLE_348873 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_329494 tptp.int)) (= (ho_5218 (ho_5220 k_5219 BOUND_VARIABLE_348873) BOUND_VARIABLE_329494) (not (ho_5218 BOUND_VARIABLE_348873 BOUND_VARIABLE_329494)))))) (let ((_let_11365 (forall ((BOUND_VARIABLE_348887 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329460 tptp.nat) (BOUND_VARIABLE_329461 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329461)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4729 BOUND_VARIABLE_329460)) (ho_4551 BOUND_VARIABLE_348887 BOUND_VARIABLE_329460)))) (ho_4575 (ho_4574 (ho_4573 k_5221 BOUND_VARIABLE_348887) BOUND_VARIABLE_329460) BOUND_VARIABLE_329461))))) (let ((_let_11366 (forall ((BOUND_VARIABLE_329423 tptp.int) (BOUND_VARIABLE_329424 tptp.int) (BOUND_VARIABLE_329425 tptp.set_int) (BOUND_VARIABLE_329426 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_329426)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4730 BOUND_VARIABLE_329423)) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_329424) BOUND_VARIABLE_329425)))) (ho_4599 (ho_4924 (ho_4923 (ho_5223 k_5222 BOUND_VARIABLE_329423) BOUND_VARIABLE_329424) BOUND_VARIABLE_329425) BOUND_VARIABLE_329426))))) (let ((_let_11367 (forall ((BOUND_VARIABLE_329387 tptp.int) (BOUND_VARIABLE_329388 tptp.int) (BOUND_VARIABLE_329389 tptp.set_int) (BOUND_VARIABLE_329390 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_329390)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4731 BOUND_VARIABLE_329387)) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_329388) BOUND_VARIABLE_329389)))) (ho_4599 (ho_4924 (ho_4923 (ho_5223 k_5224 BOUND_VARIABLE_329387) BOUND_VARIABLE_329388) BOUND_VARIABLE_329389) BOUND_VARIABLE_329390))))) (let ((_let_11368 (forall ((BOUND_VARIABLE_329354 tptp.int) (BOUND_VARIABLE_329355 tptp.set_int) (BOUND_VARIABLE_329356 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_329356)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4732 BOUND_VARIABLE_329354)) BOUND_VARIABLE_329355))) (ho_4599 (ho_4924 (ho_4923 k_5225 BOUND_VARIABLE_329354) BOUND_VARIABLE_329355) BOUND_VARIABLE_329356))))) (let ((_let_11369 (forall ((BOUND_VARIABLE_329346 tptp.set_nat) (BOUND_VARIABLE_329347 tptp.nat)) (= (ho_4593 (ho_4762 k_5226 BOUND_VARIABLE_329346) BOUND_VARIABLE_329347) (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_329347) BOUND_VARIABLE_329346))))) (let ((_let_11370 (forall ((BOUND_VARIABLE_329338 tptp.set_int) (BOUND_VARIABLE_329339 tptp.int)) (= (ho_5218 (ho_5229 k_5228 BOUND_VARIABLE_329338) BOUND_VARIABLE_329339) (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_329339) BOUND_VARIABLE_329338))))) (let ((_let_11371 (forall ((BOUND_VARIABLE_329330 tptp.set_o) (BOUND_VARIABLE_329331 Bool)) (= (ho_5235 (ho_5234 k_5233 BOUND_VARIABLE_329330) BOUND_VARIABLE_329331) (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_329331) BOUND_VARIABLE_329330))))) (let ((_let_11372 (forall ((BOUND_VARIABLE_329322 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329323 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 k_5238 BOUND_VARIABLE_329322) BOUND_VARIABLE_329323) (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_329323) BOUND_VARIABLE_329322))))) (let ((_let_11373 (forall ((BOUND_VARIABLE_329314 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329315 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 k_5241 BOUND_VARIABLE_329314) BOUND_VARIABLE_329315) (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_329315) BOUND_VARIABLE_329314))))) (let ((_let_11374 (forall ((BOUND_VARIABLE_329306 tptp.set_nat) (BOUND_VARIABLE_329307 tptp.nat)) (= (ho_4593 (ho_4762 k_5243 BOUND_VARIABLE_329306) BOUND_VARIABLE_329307) (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_329307) BOUND_VARIABLE_329306))))) (let ((_let_11375 (forall ((BOUND_VARIABLE_329298 tptp.set_int) (BOUND_VARIABLE_329299 tptp.int)) (= (ho_5218 (ho_5229 k_5244 BOUND_VARIABLE_329298) BOUND_VARIABLE_329299) (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_329299) BOUND_VARIABLE_329298))))) (let ((_let_11376 (forall ((BOUND_VARIABLE_329290 tptp.set_o) (BOUND_VARIABLE_329291 Bool)) (= (ho_5235 (ho_5234 k_5245 BOUND_VARIABLE_329290) BOUND_VARIABLE_329291) (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_329291) BOUND_VARIABLE_329290))))) (let ((_let_11377 (forall ((BOUND_VARIABLE_329282 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329283 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 k_5246 BOUND_VARIABLE_329282) BOUND_VARIABLE_329283) (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_329283) BOUND_VARIABLE_329282))))) (let ((_let_11378 (forall ((BOUND_VARIABLE_329274 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329275 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 k_5247 BOUND_VARIABLE_329274) BOUND_VARIABLE_329275) (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_329275) BOUND_VARIABLE_329274))))) (let ((_let_11379 (forall ((BOUND_VARIABLE_329263 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_329264 tptp.int) (BOUND_VARIABLE_329265 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_5248 BOUND_VARIABLE_329263) BOUND_VARIABLE_329264) BOUND_VARIABLE_329265) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_329264) BOUND_VARIABLE_329265)) BOUND_VARIABLE_329263))))) (let ((_let_11380 (forall ((BOUND_VARIABLE_329252 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329253 tptp.nat) (BOUND_VARIABLE_329254 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_5252 BOUND_VARIABLE_329252) BOUND_VARIABLE_329253) BOUND_VARIABLE_329254) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_329253) BOUND_VARIABLE_329254)) BOUND_VARIABLE_329252))))) (let ((_let_11381 (forall ((BOUND_VARIABLE_329241 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329242 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329243 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_5254 BOUND_VARIABLE_329241) BOUND_VARIABLE_329242) BOUND_VARIABLE_329243) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_329242) BOUND_VARIABLE_329243)) BOUND_VARIABLE_329241))))) (let ((_let_11382 (forall ((BOUND_VARIABLE_329230 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_329231 tptp.int) (BOUND_VARIABLE_329232 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_5256 BOUND_VARIABLE_329230) BOUND_VARIABLE_329231) BOUND_VARIABLE_329232) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_329231) BOUND_VARIABLE_329232)) BOUND_VARIABLE_329230))))) (let ((_let_11383 (forall ((BOUND_VARIABLE_329219 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329220 tptp.nat) (BOUND_VARIABLE_329221 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_5257 BOUND_VARIABLE_329219) BOUND_VARIABLE_329220) BOUND_VARIABLE_329221) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_329220) BOUND_VARIABLE_329221)) BOUND_VARIABLE_329219))))) (let ((_let_11384 (forall ((BOUND_VARIABLE_329208 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329209 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329210 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_5258 BOUND_VARIABLE_329208) BOUND_VARIABLE_329209) BOUND_VARIABLE_329210) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_329209) BOUND_VARIABLE_329210)) BOUND_VARIABLE_329208))))) (let ((_let_11385 (forall ((BOUND_VARIABLE_349178 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_349176 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329172 tptp.nat) (BOUND_VARIABLE_329173 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329173)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4733 BOUND_VARIABLE_329172)) (ho_4560 (ho_4559 k_5259 (ho_4551 BOUND_VARIABLE_349178 BOUND_VARIABLE_329172)) (ho_4551 BOUND_VARIABLE_349176 BOUND_VARIABLE_329172))))) (ho_4575 (ho_4574 (ho_4573 (ho_5142 k_5260 BOUND_VARIABLE_349178) BOUND_VARIABLE_349176) BOUND_VARIABLE_329172) BOUND_VARIABLE_329173))))) (let ((_let_11386 (forall ((BOUND_VARIABLE_349202 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329137 tptp.nat) (BOUND_VARIABLE_329138 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329138)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4734 BOUND_VARIABLE_329137)) (ho_4551 BOUND_VARIABLE_349202 BOUND_VARIABLE_329137)))) (ho_4575 (ho_4574 (ho_4573 k_5261 BOUND_VARIABLE_349202) BOUND_VARIABLE_329137) BOUND_VARIABLE_329138))))) (let ((_let_11387 (forall ((BOUND_VARIABLE_349221 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_329103 tptp.nat) (BOUND_VARIABLE_329104 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329104)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4735 BOUND_VARIABLE_329103)) (ho_4551 BOUND_VARIABLE_349221 BOUND_VARIABLE_329103)))) (ho_4575 (ho_4574 (ho_4573 k_5262 BOUND_VARIABLE_349221) BOUND_VARIABLE_329103) BOUND_VARIABLE_329104))))) (let ((_let_11388 (forall ((BOUND_VARIABLE_329069 tptp.nat) (BOUND_VARIABLE_329070 tptp.set_nat) (BOUND_VARIABLE_329071 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329071)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4736 BOUND_VARIABLE_329069)) BOUND_VARIABLE_329070))) (ho_4575 (ho_4758 (ho_4757 k_5263 BOUND_VARIABLE_329069) BOUND_VARIABLE_329070) BOUND_VARIABLE_329071))))) (let ((_let_11389 (forall ((BOUND_VARIABLE_329036 tptp.nat) (BOUND_VARIABLE_329037 tptp.set_nat) (BOUND_VARIABLE_329038 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329038)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4737 BOUND_VARIABLE_329036)) BOUND_VARIABLE_329037))) (ho_4575 (ho_4758 (ho_4757 k_5264 BOUND_VARIABLE_329036) BOUND_VARIABLE_329037) BOUND_VARIABLE_329038))))) (let ((_let_11390 (forall ((BOUND_VARIABLE_329003 tptp.nat) (BOUND_VARIABLE_329004 tptp.set_nat) (BOUND_VARIABLE_329005 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_329005)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4738 BOUND_VARIABLE_329003)) BOUND_VARIABLE_329004))) (ho_4575 (ho_4758 (ho_4757 k_5265 BOUND_VARIABLE_329003) BOUND_VARIABLE_329004) BOUND_VARIABLE_329005))))) (let ((_let_11391 (forall ((BOUND_VARIABLE_349288 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328970 tptp.nat) (BOUND_VARIABLE_328971 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328971)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4739 BOUND_VARIABLE_328970)) (ho_4551 BOUND_VARIABLE_349288 BOUND_VARIABLE_328970)))) (ho_4575 (ho_4574 (ho_4573 k_5266 BOUND_VARIABLE_349288) BOUND_VARIABLE_328970) BOUND_VARIABLE_328971))))) (let ((_let_11392 (forall ((BOUND_VARIABLE_349307 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328936 tptp.nat) (BOUND_VARIABLE_328937 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328937)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4740 BOUND_VARIABLE_328936)) (ho_4551 BOUND_VARIABLE_349307 BOUND_VARIABLE_328936)))) (ho_4575 (ho_4574 (ho_4573 k_5267 BOUND_VARIABLE_349307) BOUND_VARIABLE_328936) BOUND_VARIABLE_328937))))) (let ((_let_11393 (forall ((BOUND_VARIABLE_349326 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328902 tptp.nat) (BOUND_VARIABLE_328903 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328903)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4741 BOUND_VARIABLE_328902)) (ho_4551 BOUND_VARIABLE_349326 BOUND_VARIABLE_328902)))) (ho_4575 (ho_4574 (ho_4573 k_5268 BOUND_VARIABLE_349326) BOUND_VARIABLE_328902) BOUND_VARIABLE_328903))))) (let ((_let_11394 (forall ((BOUND_VARIABLE_328868 tptp.int) (BOUND_VARIABLE_328869 tptp.set_int) (BOUND_VARIABLE_328870 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_328870)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4742 BOUND_VARIABLE_328868)) BOUND_VARIABLE_328869))) (ho_4599 (ho_4924 (ho_4923 k_5269 BOUND_VARIABLE_328868) BOUND_VARIABLE_328869) BOUND_VARIABLE_328870))))) (let ((_let_11395 (forall ((BOUND_VARIABLE_328835 tptp.nat) (BOUND_VARIABLE_328836 tptp.set_nat) (BOUND_VARIABLE_328837 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328837)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4743 BOUND_VARIABLE_328835)) BOUND_VARIABLE_328836))) (ho_4575 (ho_4758 (ho_4757 k_5270 BOUND_VARIABLE_328835) BOUND_VARIABLE_328836) BOUND_VARIABLE_328837))))) (let ((_let_11396 (forall ((BOUND_VARIABLE_328802 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328803 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328804 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_328804)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4744 BOUND_VARIABLE_328802)) BOUND_VARIABLE_328803))) (ho_4544 (ho_4543 (ho_4542 k_5271 BOUND_VARIABLE_328802) BOUND_VARIABLE_328803) BOUND_VARIABLE_328804))))) (let ((_let_11397 (forall ((BOUND_VARIABLE_349396 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328790 tptp.set_nat) (BOUND_VARIABLE_328791 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5272 BOUND_VARIABLE_349396) BOUND_VARIABLE_328790) BOUND_VARIABLE_328791) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_328791)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_349396) BOUND_VARIABLE_328790))))))) (let ((_let_11398 (forall ((BOUND_VARIABLE_328777 tptp.nat)) (= (ho_4521 (ho_4520 k_4519 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_328777) BOUND_VARIABLE_328777)) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_4524 k_5273 BOUND_VARIABLE_328777))))) (let ((_let_11399 (forall ((BOUND_VARIABLE_349422 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328765 tptp.set_nat) (BOUND_VARIABLE_328766 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_5274 BOUND_VARIABLE_349422) BOUND_VARIABLE_328765) BOUND_VARIABLE_328766) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_328766)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_349422) BOUND_VARIABLE_328765))))))) (let ((_let_11400 (forall ((BOUND_VARIABLE_328731 tptp.int) (BOUND_VARIABLE_328732 tptp.set_int) (BOUND_VARIABLE_328733 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_328733)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4745 BOUND_VARIABLE_328731)) BOUND_VARIABLE_328732))) (ho_4599 (ho_4924 (ho_4923 k_5275 BOUND_VARIABLE_328731) BOUND_VARIABLE_328732) BOUND_VARIABLE_328733))))) (let ((_let_11401 (forall ((BOUND_VARIABLE_328698 tptp.nat) (BOUND_VARIABLE_328699 tptp.set_nat) (BOUND_VARIABLE_328700 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328700)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4746 BOUND_VARIABLE_328698)) BOUND_VARIABLE_328699))) (ho_4575 (ho_4758 (ho_4757 k_5276 BOUND_VARIABLE_328698) BOUND_VARIABLE_328699) BOUND_VARIABLE_328700))))) (let ((_let_11402 (forall ((BOUND_VARIABLE_328665 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328666 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328667 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_328667)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4747 BOUND_VARIABLE_328665)) BOUND_VARIABLE_328666))) (ho_4544 (ho_4543 (ho_4542 k_5277 BOUND_VARIABLE_328665) BOUND_VARIABLE_328666) BOUND_VARIABLE_328667))))) (let ((_let_11403 (forall ((BOUND_VARIABLE_328632 tptp.int) (BOUND_VARIABLE_328633 tptp.set_int) (BOUND_VARIABLE_328634 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_328634)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4748 BOUND_VARIABLE_328632)) BOUND_VARIABLE_328633))) (ho_4599 (ho_4924 (ho_4923 k_5278 BOUND_VARIABLE_328632) BOUND_VARIABLE_328633) BOUND_VARIABLE_328634))))) (let ((_let_11404 (forall ((BOUND_VARIABLE_328599 tptp.nat) (BOUND_VARIABLE_328600 tptp.set_nat) (BOUND_VARIABLE_328601 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328601)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4749 BOUND_VARIABLE_328599)) BOUND_VARIABLE_328600))) (ho_4575 (ho_4758 (ho_4757 k_5279 BOUND_VARIABLE_328599) BOUND_VARIABLE_328600) BOUND_VARIABLE_328601))))) (let ((_let_11405 (forall ((BOUND_VARIABLE_328566 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328567 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328568 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_328568)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4750 BOUND_VARIABLE_328566)) BOUND_VARIABLE_328567))) (ho_4544 (ho_4543 (ho_4542 k_5280 BOUND_VARIABLE_328566) BOUND_VARIABLE_328567) BOUND_VARIABLE_328568))))) (let ((_let_11406 (forall ((BOUND_VARIABLE_328533 tptp.int) (BOUND_VARIABLE_328534 tptp.set_int) (BOUND_VARIABLE_328535 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_328535)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4751 BOUND_VARIABLE_328533)) BOUND_VARIABLE_328534))) (ho_4599 (ho_4924 (ho_4923 k_5281 BOUND_VARIABLE_328533) BOUND_VARIABLE_328534) BOUND_VARIABLE_328535))))) (let ((_let_11407 (forall ((BOUND_VARIABLE_328500 tptp.nat) (BOUND_VARIABLE_328501 tptp.set_nat) (BOUND_VARIABLE_328502 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328502)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4752 BOUND_VARIABLE_328500)) BOUND_VARIABLE_328501))) (ho_4575 (ho_4758 (ho_4757 k_5282 BOUND_VARIABLE_328500) BOUND_VARIABLE_328501) BOUND_VARIABLE_328502))))) (let ((_let_11408 (forall ((BOUND_VARIABLE_328467 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328468 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328469 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_328469)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4753 BOUND_VARIABLE_328467)) BOUND_VARIABLE_328468))) (ho_4544 (ho_4543 (ho_4542 k_5283 BOUND_VARIABLE_328467) BOUND_VARIABLE_328468) BOUND_VARIABLE_328469))))) (let ((_let_11409 (forall ((BOUND_VARIABLE_349582 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328425 tptp.nat) (BOUND_VARIABLE_349580 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328427 tptp.nat) (BOUND_VARIABLE_328428 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328428)) (ho_4565 (ho_4564 k_4563 (ho_4523 (ho_4755 k_4754 BOUND_VARIABLE_349582) BOUND_VARIABLE_328425)) (ho_4551 BOUND_VARIABLE_349580 BOUND_VARIABLE_328427)))) (ho_4575 (ho_4574 (ho_4573 (ho_4572 (ho_5285 k_5284 BOUND_VARIABLE_349582) BOUND_VARIABLE_328425) BOUND_VARIABLE_349580) BOUND_VARIABLE_328427) BOUND_VARIABLE_328428))))) (let ((_let_11410 (forall ((BOUND_VARIABLE_328388 tptp.set_nat) (BOUND_VARIABLE_328389 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_4756 BOUND_VARIABLE_328389) BOUND_VARIABLE_328388)) (ho_4524 (ho_5287 k_5286 BOUND_VARIABLE_328388) BOUND_VARIABLE_328389))))) (let ((_let_11411 (forall ((BOUND_VARIABLE_328336 tptp.nat) (BOUND_VARIABLE_349622 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328338 tptp.set_nat) (BOUND_VARIABLE_328339 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328339)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4759 BOUND_VARIABLE_328336)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_4760 BOUND_VARIABLE_349622) BOUND_VARIABLE_328338))))) (ho_4575 (ho_4758 (ho_5290 (ho_5289 k_5288 BOUND_VARIABLE_328336) BOUND_VARIABLE_349622) BOUND_VARIABLE_328338) BOUND_VARIABLE_328339))))) (let ((_let_11412 (forall ((BOUND_VARIABLE_349653 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328303 tptp.nat) (BOUND_VARIABLE_328304 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328304)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4766 BOUND_VARIABLE_328303)) (ho_4551 BOUND_VARIABLE_349653 BOUND_VARIABLE_328303)))) (ho_4575 (ho_4574 (ho_4573 k_5291 BOUND_VARIABLE_349653) BOUND_VARIABLE_328303) BOUND_VARIABLE_328304))))) (let ((_let_11413 (forall ((BOUND_VARIABLE_349672 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328266 tptp.set_nat) (BOUND_VARIABLE_328267 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328267)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_4767 BOUND_VARIABLE_349672)) BOUND_VARIABLE_328266))) (ho_4575 (ho_4758 (ho_5290 k_5292 BOUND_VARIABLE_349672) BOUND_VARIABLE_328266) BOUND_VARIABLE_328267))))) (let ((_let_11414 (forall ((BOUND_VARIABLE_328229 tptp.nat) (BOUND_VARIABLE_328230 tptp.nat) (BOUND_VARIABLE_328231 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328231)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4769 BOUND_VARIABLE_328229)) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_328230) (ho_4845 k_4844 k_4852))))) (ho_4575 (ho_4574 (ho_4847 k_5293 BOUND_VARIABLE_328229) BOUND_VARIABLE_328230) BOUND_VARIABLE_328231))))) (let ((_let_11415 (forall ((BOUND_VARIABLE_328194 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328195 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328196 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_328196)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4770 BOUND_VARIABLE_328194)) (ho_5160 (ho_5295 k_5294 BOUND_VARIABLE_328195) tptp.bot_bo3083307316010499117at_nat)))) (ho_4544 (ho_4549 (ho_5297 k_5296 BOUND_VARIABLE_328194) BOUND_VARIABLE_328195) BOUND_VARIABLE_328196))))) (let ((_let_11416 (forall ((BOUND_VARIABLE_328159 tptp.int) (BOUND_VARIABLE_328160 tptp.int) (BOUND_VARIABLE_328161 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_328161)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4771 BOUND_VARIABLE_328159)) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_328160) tptp.bot_bot_set_int)))) (ho_4599 (ho_4907 (ho_5299 k_5298 BOUND_VARIABLE_328159) BOUND_VARIABLE_328160) BOUND_VARIABLE_328161))))) (let ((_let_11417 (forall ((BOUND_VARIABLE_328126 tptp.nat) (BOUND_VARIABLE_328127 tptp.set_nat) (BOUND_VARIABLE_328128 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328128)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4772 BOUND_VARIABLE_328126)) BOUND_VARIABLE_328127))) (ho_4575 (ho_4758 (ho_4757 k_5300 BOUND_VARIABLE_328126) BOUND_VARIABLE_328127) BOUND_VARIABLE_328128))))) (let ((_let_11418 (forall ((BOUND_VARIABLE_328093 tptp.int) (BOUND_VARIABLE_328094 tptp.set_int) (BOUND_VARIABLE_328095 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_328095)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4773 BOUND_VARIABLE_328093)) BOUND_VARIABLE_328094))) (ho_4599 (ho_4924 (ho_4923 k_5301 BOUND_VARIABLE_328093) BOUND_VARIABLE_328094) BOUND_VARIABLE_328095))))) (let ((_let_11419 (forall ((BOUND_VARIABLE_328060 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328061 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328062 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_328062)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4774 BOUND_VARIABLE_328060)) BOUND_VARIABLE_328061))) (ho_4544 (ho_4543 (ho_4542 k_5302 BOUND_VARIABLE_328060) BOUND_VARIABLE_328061) BOUND_VARIABLE_328062))))) (let ((_let_11420 (forall ((BOUND_VARIABLE_349802 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_328027 tptp.nat) (BOUND_VARIABLE_328028 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_328028)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4775 BOUND_VARIABLE_328027)) (ho_4551 BOUND_VARIABLE_349802 BOUND_VARIABLE_328027)))) (ho_4575 (ho_4574 (ho_4573 k_5303 BOUND_VARIABLE_349802) BOUND_VARIABLE_328027) BOUND_VARIABLE_328028))))) (let ((_let_11421 (forall ((BOUND_VARIABLE_349821 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_327993 tptp.nat) (BOUND_VARIABLE_327994 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327994)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4776 BOUND_VARIABLE_327993)) (ho_4551 BOUND_VARIABLE_349821 BOUND_VARIABLE_327993)))) (ho_4575 (ho_4574 (ho_4573 k_5304 BOUND_VARIABLE_349821) BOUND_VARIABLE_327993) BOUND_VARIABLE_327994))))) (let ((_let_11422 (forall ((BOUND_VARIABLE_327959 tptp.nat) (BOUND_VARIABLE_327960 tptp.set_nat) (BOUND_VARIABLE_327961 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327961)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4777 BOUND_VARIABLE_327959)) BOUND_VARIABLE_327960))) (ho_4575 (ho_4758 (ho_4757 k_5305 BOUND_VARIABLE_327959) BOUND_VARIABLE_327960) BOUND_VARIABLE_327961))))) (let ((_let_11423 (forall ((BOUND_VARIABLE_327926 tptp.nat) (BOUND_VARIABLE_327927 tptp.set_nat) (BOUND_VARIABLE_327928 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327928)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4778 BOUND_VARIABLE_327926)) BOUND_VARIABLE_327927))) (ho_4575 (ho_4758 (ho_4757 k_5306 BOUND_VARIABLE_327926) BOUND_VARIABLE_327927) BOUND_VARIABLE_327928))))) (let ((_let_11424 (forall ((BOUND_VARIABLE_327893 tptp.nat) (BOUND_VARIABLE_327894 tptp.set_nat) (BOUND_VARIABLE_327895 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327895)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4779 BOUND_VARIABLE_327893)) BOUND_VARIABLE_327894))) (ho_4575 (ho_4758 (ho_4757 k_5307 BOUND_VARIABLE_327893) BOUND_VARIABLE_327894) BOUND_VARIABLE_327895))))) (let ((_let_11425 (forall ((BOUND_VARIABLE_327860 tptp.nat) (BOUND_VARIABLE_327861 tptp.set_nat) (BOUND_VARIABLE_327862 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327862)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4780 BOUND_VARIABLE_327860)) BOUND_VARIABLE_327861))) (ho_4575 (ho_4758 (ho_4757 k_5308 BOUND_VARIABLE_327860) BOUND_VARIABLE_327861) BOUND_VARIABLE_327862))))) (let ((_let_11426 (forall ((BOUND_VARIABLE_349904 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_327827 tptp.nat) (BOUND_VARIABLE_327828 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327828)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4781 BOUND_VARIABLE_327827)) (ho_4551 BOUND_VARIABLE_349904 BOUND_VARIABLE_327827)))) (ho_4575 (ho_4574 (ho_4573 k_5309 BOUND_VARIABLE_349904) BOUND_VARIABLE_327827) BOUND_VARIABLE_327828))))) (let ((_let_11427 (forall ((BOUND_VARIABLE_349923 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_327793 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327794 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_327794)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4782 BOUND_VARIABLE_327793)) (ho_4546 BOUND_VARIABLE_349923 BOUND_VARIABLE_327793)))) (ho_4544 (ho_4549 (ho_4548 k_5310 BOUND_VARIABLE_349923) BOUND_VARIABLE_327793) BOUND_VARIABLE_327794))))) (let ((_let_11428 (forall ((BOUND_VARIABLE_327759 tptp.nat) (BOUND_VARIABLE_327760 tptp.set_nat) (BOUND_VARIABLE_327761 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327761)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4783 BOUND_VARIABLE_327759)) BOUND_VARIABLE_327760))) (ho_4575 (ho_4758 (ho_4757 k_5311 BOUND_VARIABLE_327759) BOUND_VARIABLE_327760) BOUND_VARIABLE_327761))))) (let ((_let_11429 (forall ((BOUND_VARIABLE_327727 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327728 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_327728)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4784 BOUND_VARIABLE_327727)) tptp.bot_bo3083307316010499117at_nat))) (ho_4544 (ho_4549 k_5312 BOUND_VARIABLE_327727) BOUND_VARIABLE_327728))))) (let ((_let_11430 (forall ((BOUND_VARIABLE_349972 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_327694 tptp.nat) (BOUND_VARIABLE_327695 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327695)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4785 BOUND_VARIABLE_327694)) (ho_4551 BOUND_VARIABLE_349972 BOUND_VARIABLE_327694)))) (ho_4575 (ho_4574 (ho_4573 k_5313 BOUND_VARIABLE_349972) BOUND_VARIABLE_327694) BOUND_VARIABLE_327695))))) (let ((_let_11431 (forall ((BOUND_VARIABLE_349991 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_327660 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327661 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_327661)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4786 BOUND_VARIABLE_327660)) (ho_4546 BOUND_VARIABLE_349991 BOUND_VARIABLE_327660)))) (ho_4544 (ho_4549 (ho_4548 k_5314 BOUND_VARIABLE_349991) BOUND_VARIABLE_327660) BOUND_VARIABLE_327661))))) (let ((_let_11432 (forall ((BOUND_VARIABLE_327627 tptp.nat) (BOUND_VARIABLE_327628 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327628)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4787 BOUND_VARIABLE_327627)) (ho_4845 k_4844 k_4852)))) (ho_4575 (ho_4574 k_5315 BOUND_VARIABLE_327627) BOUND_VARIABLE_327628))))) (let ((_let_11433 (forall ((BOUND_VARIABLE_327594 tptp.nat) (BOUND_VARIABLE_327595 tptp.set_nat) (BOUND_VARIABLE_327596 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327596)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4788 BOUND_VARIABLE_327594)) BOUND_VARIABLE_327595))) (ho_4575 (ho_4758 (ho_4757 k_5316 BOUND_VARIABLE_327594) BOUND_VARIABLE_327595) BOUND_VARIABLE_327596))))) (let ((_let_11434 (forall ((BOUND_VARIABLE_327561 tptp.nat) (BOUND_VARIABLE_327562 tptp.set_nat) (BOUND_VARIABLE_327563 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327563)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4789 BOUND_VARIABLE_327561)) BOUND_VARIABLE_327562))) (ho_4575 (ho_4758 (ho_4757 k_5317 BOUND_VARIABLE_327561) BOUND_VARIABLE_327562) BOUND_VARIABLE_327563))))) (let ((_let_11435 (forall ((BOUND_VARIABLE_327528 tptp.nat) (BOUND_VARIABLE_327529 tptp.set_nat) (BOUND_VARIABLE_327530 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327530)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4790 BOUND_VARIABLE_327528)) BOUND_VARIABLE_327529))) (ho_4575 (ho_4758 (ho_4757 k_5318 BOUND_VARIABLE_327528) BOUND_VARIABLE_327529) BOUND_VARIABLE_327530))))) (let ((_let_11436 (forall ((BOUND_VARIABLE_327495 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327496 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_327497 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_327497)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4791 BOUND_VARIABLE_327495)) BOUND_VARIABLE_327496))) (ho_4544 (ho_4543 (ho_4542 k_5319 BOUND_VARIABLE_327495) BOUND_VARIABLE_327496) BOUND_VARIABLE_327497))))) (let ((_let_11437 (forall ((BOUND_VARIABLE_327462 tptp.int) (BOUND_VARIABLE_327463 tptp.set_int) (BOUND_VARIABLE_327464 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_327464)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4792 BOUND_VARIABLE_327462)) BOUND_VARIABLE_327463))) (ho_4599 (ho_4924 (ho_4923 k_5320 BOUND_VARIABLE_327462) BOUND_VARIABLE_327463) BOUND_VARIABLE_327464))))) (let ((_let_11438 (forall ((BOUND_VARIABLE_327426 tptp.int) (BOUND_VARIABLE_350104 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_327428 tptp.set_int) (BOUND_VARIABLE_327429 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_327429)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4793 BOUND_VARIABLE_327426)) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_350104) BOUND_VARIABLE_327428)))) (ho_4599 (ho_4924 (ho_5323 (ho_5322 k_5321 BOUND_VARIABLE_327426) BOUND_VARIABLE_350104) BOUND_VARIABLE_327428) BOUND_VARIABLE_327429))))) (let ((_let_11439 (forall ((BOUND_VARIABLE_327393 tptp.int) (BOUND_VARIABLE_327394 tptp.set_int) (BOUND_VARIABLE_327395 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_327395)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4794 BOUND_VARIABLE_327393)) BOUND_VARIABLE_327394))) (ho_4599 (ho_4924 (ho_4923 k_5324 BOUND_VARIABLE_327393) BOUND_VARIABLE_327394) BOUND_VARIABLE_327395))))) (let ((_let_11440 (forall ((BOUND_VARIABLE_327360 tptp.int) (BOUND_VARIABLE_327361 tptp.set_int) (BOUND_VARIABLE_327362 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_327362)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4795 BOUND_VARIABLE_327360)) BOUND_VARIABLE_327361))) (ho_4599 (ho_4924 (ho_4923 k_5325 BOUND_VARIABLE_327360) BOUND_VARIABLE_327361) BOUND_VARIABLE_327362))))) (let ((_let_11441 (forall ((BOUND_VARIABLE_327327 tptp.nat) (BOUND_VARIABLE_327328 tptp.set_nat) (BOUND_VARIABLE_327329 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327329)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4796 BOUND_VARIABLE_327327)) BOUND_VARIABLE_327328))) (ho_4575 (ho_4758 (ho_4757 k_5326 BOUND_VARIABLE_327327) BOUND_VARIABLE_327328) BOUND_VARIABLE_327329))))) (let ((_let_11442 (forall ((BOUND_VARIABLE_327294 tptp.nat) (BOUND_VARIABLE_327295 tptp.set_nat) (BOUND_VARIABLE_327296 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327296)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4797 BOUND_VARIABLE_327294)) BOUND_VARIABLE_327295))) (ho_4575 (ho_4758 (ho_4757 k_5327 BOUND_VARIABLE_327294) BOUND_VARIABLE_327295) BOUND_VARIABLE_327296))))) (let ((_let_11443 (forall ((BOUND_VARIABLE_327261 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327262 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_327263 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_327263)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4798 BOUND_VARIABLE_327261)) BOUND_VARIABLE_327262))) (ho_4544 (ho_4543 (ho_4542 k_5328 BOUND_VARIABLE_327261) BOUND_VARIABLE_327262) BOUND_VARIABLE_327263))))) (let ((_let_11444 (forall ((BOUND_VARIABLE_327228 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327229 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_327230 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_327230)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4799 BOUND_VARIABLE_327228)) BOUND_VARIABLE_327229))) (ho_4544 (ho_4543 (ho_4542 k_5329 BOUND_VARIABLE_327228) BOUND_VARIABLE_327229) BOUND_VARIABLE_327230))))) (let ((_let_11445 (forall ((BOUND_VARIABLE_327195 tptp.nat) (BOUND_VARIABLE_327196 tptp.set_nat) (BOUND_VARIABLE_327197 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327197)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4800 BOUND_VARIABLE_327195)) BOUND_VARIABLE_327196))) (ho_4575 (ho_4758 (ho_4757 k_5330 BOUND_VARIABLE_327195) BOUND_VARIABLE_327196) BOUND_VARIABLE_327197))))) (let ((_let_11446 (forall ((BOUND_VARIABLE_327162 tptp.nat) (BOUND_VARIABLE_327163 tptp.set_nat) (BOUND_VARIABLE_327164 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327164)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4801 BOUND_VARIABLE_327162)) BOUND_VARIABLE_327163))) (ho_4575 (ho_4758 (ho_4757 k_5331 BOUND_VARIABLE_327162) BOUND_VARIABLE_327163) BOUND_VARIABLE_327164))))) (let ((_let_11447 (forall ((BOUND_VARIABLE_327129 tptp.nat) (BOUND_VARIABLE_327130 tptp.set_nat) (BOUND_VARIABLE_327131 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327131)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4802 BOUND_VARIABLE_327129)) BOUND_VARIABLE_327130))) (ho_4575 (ho_4758 (ho_4757 k_5332 BOUND_VARIABLE_327129) BOUND_VARIABLE_327130) BOUND_VARIABLE_327131))))) (let ((_let_11448 (forall ((BOUND_VARIABLE_327096 tptp.int) (BOUND_VARIABLE_327097 tptp.set_int) (BOUND_VARIABLE_327098 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_327098)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4803 BOUND_VARIABLE_327096)) BOUND_VARIABLE_327097))) (ho_4599 (ho_4924 (ho_4923 k_5333 BOUND_VARIABLE_327096) BOUND_VARIABLE_327097) BOUND_VARIABLE_327098))))) (let ((_let_11449 (forall ((BOUND_VARIABLE_327063 tptp.nat) (BOUND_VARIABLE_327064 tptp.set_nat) (BOUND_VARIABLE_327065 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327065)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4804 BOUND_VARIABLE_327063)) BOUND_VARIABLE_327064))) (ho_4575 (ho_4758 (ho_4757 k_5334 BOUND_VARIABLE_327063) BOUND_VARIABLE_327064) BOUND_VARIABLE_327065))))) (let ((_let_11450 (forall ((BOUND_VARIABLE_327030 tptp.nat) (BOUND_VARIABLE_327031 tptp.set_nat) (BOUND_VARIABLE_327032 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_327032)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4805 BOUND_VARIABLE_327030)) BOUND_VARIABLE_327031))) (ho_4575 (ho_4758 (ho_4757 k_5335 BOUND_VARIABLE_327030) BOUND_VARIABLE_327031) BOUND_VARIABLE_327032))))) (let ((_let_11451 (forall ((BOUND_VARIABLE_350326 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326997 tptp.nat) (BOUND_VARIABLE_326998 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326998)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4806 BOUND_VARIABLE_326997)) (ho_4551 BOUND_VARIABLE_350326 BOUND_VARIABLE_326997)))) (ho_4575 (ho_4574 (ho_4573 k_5336 BOUND_VARIABLE_350326) BOUND_VARIABLE_326997) BOUND_VARIABLE_326998))))) (let ((_let_11452 (forall ((BOUND_VARIABLE_350345 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326963 tptp.nat) (BOUND_VARIABLE_326964 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326964)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4807 BOUND_VARIABLE_326963)) (ho_4551 BOUND_VARIABLE_350345 BOUND_VARIABLE_326963)))) (ho_4575 (ho_4574 (ho_4573 k_5337 BOUND_VARIABLE_350345) BOUND_VARIABLE_326963) BOUND_VARIABLE_326964))))) (let ((_let_11453 (forall ((BOUND_VARIABLE_350364 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_326928 tptp.int) (BOUND_VARIABLE_326929 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326929)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4808 BOUND_VARIABLE_326928)) (ho_5339 k_5338 (ho_5250 BOUND_VARIABLE_350364 BOUND_VARIABLE_326928))))) (ho_4599 (ho_4907 (ho_5341 k_5340 BOUND_VARIABLE_350364) BOUND_VARIABLE_326928) BOUND_VARIABLE_326929))))) (let ((_let_11454 (forall ((BOUND_VARIABLE_350393 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_326893 tptp.nat) (BOUND_VARIABLE_326894 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326894)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4809 BOUND_VARIABLE_326893)) (ho_4845 k_4844 (ho_4511 BOUND_VARIABLE_350393 BOUND_VARIABLE_326893))))) (ho_4575 (ho_4574 (ho_5343 k_5342 BOUND_VARIABLE_350393) BOUND_VARIABLE_326893) BOUND_VARIABLE_326894))))) (let ((_let_11455 (forall ((BOUND_VARIABLE_350417 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326859 tptp.nat) (BOUND_VARIABLE_326860 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326860)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4810 BOUND_VARIABLE_326859)) (ho_4551 BOUND_VARIABLE_350417 BOUND_VARIABLE_326859)))) (ho_4575 (ho_4574 (ho_4573 k_5344 BOUND_VARIABLE_350417) BOUND_VARIABLE_326859) BOUND_VARIABLE_326860))))) (let ((_let_11456 (forall ((BOUND_VARIABLE_350436 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_326825 tptp.int) (BOUND_VARIABLE_326826 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326826)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4811 BOUND_VARIABLE_326825)) (ho_4896 BOUND_VARIABLE_350436 BOUND_VARIABLE_326825)))) (ho_4599 (ho_4907 (ho_4906 k_5345 BOUND_VARIABLE_350436) BOUND_VARIABLE_326825) BOUND_VARIABLE_326826))))) (let ((_let_11457 (forall ((BOUND_VARIABLE_350455 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326791 tptp.nat) (BOUND_VARIABLE_326792 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326792)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4812 BOUND_VARIABLE_326791)) (ho_4551 BOUND_VARIABLE_350455 BOUND_VARIABLE_326791)))) (ho_4575 (ho_4574 (ho_4573 k_5346 BOUND_VARIABLE_350455) BOUND_VARIABLE_326791) BOUND_VARIABLE_326792))))) (let ((_let_11458 (forall ((BOUND_VARIABLE_350474 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_326757 tptp.int) (BOUND_VARIABLE_326758 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326758)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4813 BOUND_VARIABLE_326757)) (ho_4896 BOUND_VARIABLE_350474 BOUND_VARIABLE_326757)))) (ho_4599 (ho_4907 (ho_4906 k_5347 BOUND_VARIABLE_350474) BOUND_VARIABLE_326757) BOUND_VARIABLE_326758))))) (let ((_let_11459 (forall ((BOUND_VARIABLE_350493 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_326723 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_326724 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_326724)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4814 BOUND_VARIABLE_326723)) (ho_4546 BOUND_VARIABLE_350493 BOUND_VARIABLE_326723)))) (ho_4544 (ho_4549 (ho_4548 k_5348 BOUND_VARIABLE_350493) BOUND_VARIABLE_326723) BOUND_VARIABLE_326724))))) (let ((_let_11460 (forall ((BOUND_VARIABLE_350512 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326689 tptp.nat) (BOUND_VARIABLE_326690 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326690)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4815 BOUND_VARIABLE_326689)) (ho_4551 BOUND_VARIABLE_350512 BOUND_VARIABLE_326689)))) (ho_4575 (ho_4574 (ho_4573 k_5349 BOUND_VARIABLE_350512) BOUND_VARIABLE_326689) BOUND_VARIABLE_326690))))) (let ((_let_11461 (forall ((BOUND_VARIABLE_350531 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_326655 tptp.int) (BOUND_VARIABLE_326656 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326656)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4816 BOUND_VARIABLE_326655)) (ho_4896 BOUND_VARIABLE_350531 BOUND_VARIABLE_326655)))) (ho_4599 (ho_4907 (ho_4906 k_5350 BOUND_VARIABLE_350531) BOUND_VARIABLE_326655) BOUND_VARIABLE_326656))))) (let ((_let_11462 (forall ((BOUND_VARIABLE_350550 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_326621 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_326622 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_326622)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_4817 BOUND_VARIABLE_326621)) (ho_4546 BOUND_VARIABLE_350550 BOUND_VARIABLE_326621)))) (ho_4544 (ho_4549 (ho_4548 k_5351 BOUND_VARIABLE_350550) BOUND_VARIABLE_326621) BOUND_VARIABLE_326622))))) (let ((_let_11463 (forall ((BOUND_VARIABLE_350569 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326587 tptp.nat) (BOUND_VARIABLE_326588 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326588)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4818 BOUND_VARIABLE_326587)) (ho_4551 BOUND_VARIABLE_350569 BOUND_VARIABLE_326587)))) (ho_4575 (ho_4574 (ho_4573 k_5352 BOUND_VARIABLE_350569) BOUND_VARIABLE_326587) BOUND_VARIABLE_326588))))) (let ((_let_11464 (forall ((BOUND_VARIABLE_350588 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_326553 tptp.int) (BOUND_VARIABLE_326554 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326554)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4819 BOUND_VARIABLE_326553)) (ho_4896 BOUND_VARIABLE_350588 BOUND_VARIABLE_326553)))) (ho_4599 (ho_4907 (ho_4906 k_5353 BOUND_VARIABLE_350588) BOUND_VARIABLE_326553) BOUND_VARIABLE_326554))))) (let ((_let_11465 (forall ((BOUND_VARIABLE_350607 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326519 tptp.nat) (BOUND_VARIABLE_326520 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326520)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4820 BOUND_VARIABLE_326519)) (ho_4551 BOUND_VARIABLE_350607 BOUND_VARIABLE_326519)))) (ho_4575 (ho_4574 (ho_4573 k_5354 BOUND_VARIABLE_350607) BOUND_VARIABLE_326519) BOUND_VARIABLE_326520))))) (let ((_let_11466 (forall ((BOUND_VARIABLE_350626 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326485 tptp.nat) (BOUND_VARIABLE_326486 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326486)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4821 BOUND_VARIABLE_326485)) (ho_4551 BOUND_VARIABLE_350626 BOUND_VARIABLE_326485)))) (ho_4575 (ho_4574 (ho_4573 k_5355 BOUND_VARIABLE_350626) BOUND_VARIABLE_326485) BOUND_VARIABLE_326486))))) (let ((_let_11467 (forall ((BOUND_VARIABLE_326451 tptp.nat) (BOUND_VARIABLE_326452 tptp.set_nat) (BOUND_VARIABLE_326453 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326453)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4822 BOUND_VARIABLE_326451)) BOUND_VARIABLE_326452))) (ho_4575 (ho_4758 (ho_4757 k_5356 BOUND_VARIABLE_326451) BOUND_VARIABLE_326452) BOUND_VARIABLE_326453))))) (let ((_let_11468 (forall ((BOUND_VARIABLE_326418 tptp.nat) (BOUND_VARIABLE_326419 tptp.set_nat) (BOUND_VARIABLE_326420 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326420)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4823 BOUND_VARIABLE_326418)) BOUND_VARIABLE_326419))) (ho_4575 (ho_4758 (ho_4757 k_5357 BOUND_VARIABLE_326418) BOUND_VARIABLE_326419) BOUND_VARIABLE_326420))))) (let ((_let_11469 (forall ((BOUND_VARIABLE_326384 tptp.int) (BOUND_VARIABLE_350677 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_326386 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326386)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4824 BOUND_VARIABLE_326384)) (ho_5339 k_5338 BOUND_VARIABLE_350677)))) (ho_4599 (ho_5360 (ho_5359 k_5358 BOUND_VARIABLE_326384) BOUND_VARIABLE_350677) BOUND_VARIABLE_326386))))) (let ((_let_11470 (forall ((BOUND_VARIABLE_326350 tptp.nat) (BOUND_VARIABLE_350704 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_326352 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326352)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4825 BOUND_VARIABLE_326350)) (ho_4845 k_4844 BOUND_VARIABLE_350704)))) (ho_4575 (ho_5363 (ho_5362 k_5361 BOUND_VARIABLE_326350) BOUND_VARIABLE_350704) BOUND_VARIABLE_326352))))) (let ((_let_11471 (forall ((BOUND_VARIABLE_350731 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326317 tptp.nat) (BOUND_VARIABLE_326318 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326318)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4826 BOUND_VARIABLE_326317)) (ho_4551 BOUND_VARIABLE_350731 BOUND_VARIABLE_326317)))) (ho_4575 (ho_4574 (ho_4573 k_5364 BOUND_VARIABLE_350731) BOUND_VARIABLE_326317) BOUND_VARIABLE_326318))))) (let ((_let_11472 (forall ((BOUND_VARIABLE_350750 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_326283 tptp.int) (BOUND_VARIABLE_326284 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326284)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4827 BOUND_VARIABLE_326283)) (ho_4896 BOUND_VARIABLE_350750 BOUND_VARIABLE_326283)))) (ho_4599 (ho_4907 (ho_4906 k_5365 BOUND_VARIABLE_350750) BOUND_VARIABLE_326283) BOUND_VARIABLE_326284))))) (let ((_let_11473 (forall ((BOUND_VARIABLE_350769 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_326249 tptp.nat) (BOUND_VARIABLE_326250 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326250)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4828 BOUND_VARIABLE_326249)) (ho_4551 BOUND_VARIABLE_350769 BOUND_VARIABLE_326249)))) (ho_4575 (ho_4574 (ho_4573 k_5366 BOUND_VARIABLE_350769) BOUND_VARIABLE_326249) BOUND_VARIABLE_326250))))) (let ((_let_11474 (forall ((BOUND_VARIABLE_350788 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_326215 tptp.int) (BOUND_VARIABLE_326216 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326216)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4829 BOUND_VARIABLE_326215)) (ho_4896 BOUND_VARIABLE_350788 BOUND_VARIABLE_326215)))) (ho_4599 (ho_4907 (ho_4906 k_5367 BOUND_VARIABLE_350788) BOUND_VARIABLE_326215) BOUND_VARIABLE_326216))))) (let ((_let_11475 (forall ((BOUND_VARIABLE_326180 tptp.nat) (BOUND_VARIABLE_326181 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_326182 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326182)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4830 BOUND_VARIABLE_326180)) (ho_4870 (ho_5371 k_5370 k_5368) BOUND_VARIABLE_326181)))) (ho_4575 (ho_5239 (ho_5373 k_5372 BOUND_VARIABLE_326180) BOUND_VARIABLE_326181) BOUND_VARIABLE_326182))))) (let ((_let_11476 (forall ((BOUND_VARIABLE_326147 tptp.nat) (BOUND_VARIABLE_326148 tptp.set_nat) (BOUND_VARIABLE_326149 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_326149)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_4831 BOUND_VARIABLE_326147)) BOUND_VARIABLE_326148))) (ho_4575 (ho_4758 (ho_4757 k_5374 BOUND_VARIABLE_326147) BOUND_VARIABLE_326148) BOUND_VARIABLE_326149))))) (let ((_let_11477 (forall ((BOUND_VARIABLE_326114 tptp.int) (BOUND_VARIABLE_326115 tptp.set_int) (BOUND_VARIABLE_326116 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326116)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4832 BOUND_VARIABLE_326114)) BOUND_VARIABLE_326115))) (ho_4599 (ho_4924 (ho_4923 k_5375 BOUND_VARIABLE_326114) BOUND_VARIABLE_326115) BOUND_VARIABLE_326116))))) (let ((_let_11478 (forall ((BOUND_VARIABLE_326081 tptp.int) (BOUND_VARIABLE_326082 tptp.set_int) (BOUND_VARIABLE_326083 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326083)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4833 BOUND_VARIABLE_326081)) BOUND_VARIABLE_326082))) (ho_4599 (ho_4924 (ho_4923 k_5376 BOUND_VARIABLE_326081) BOUND_VARIABLE_326082) BOUND_VARIABLE_326083))))) (let ((_let_11479 (forall ((BOUND_VARIABLE_326048 tptp.int) (BOUND_VARIABLE_326049 tptp.set_int) (BOUND_VARIABLE_326050 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_326050)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_4834 BOUND_VARIABLE_326048)) BOUND_VARIABLE_326049))) (ho_4599 (ho_4924 (ho_4923 k_5377 BOUND_VARIABLE_326048) BOUND_VARIABLE_326049) BOUND_VARIABLE_326050))))) (let ((_let_11480 (forall ((BOUND_VARIABLE_350910 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_350906 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_326031 tptp.product_prod_nat_nat) (BOUND_VARIABLE_326032 tptp.int)) (= (ho_5218 (ho_5383 (ho_5382 (ho_5381 k_5380 BOUND_VARIABLE_350910) BOUND_VARIABLE_350906) BOUND_VARIABLE_326031) BOUND_VARIABLE_326032) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_350910 BOUND_VARIABLE_326031) B4)) (not (ho_5218 (ho_5383 (ho_5388 k_5387 (ho_5386 (ho_5385 k_5384 tptp.top_top_set_int) BOUND_VARIABLE_350906)) B4) BOUND_VARIABLE_326032))))))))) (let ((_let_11481 (forall ((BOUND_VARIABLE_326008 tptp.nat) (BOUND_VARIABLE_326009 tptp.num)) (= (ho_4841 (ho_5391 (ho_5390 k_5389 tptp.none_num) (ho_4840 k_4839 BOUND_VARIABLE_326009)) BOUND_VARIABLE_326008) (ho_4527 (ho_4579 k_5392 BOUND_VARIABLE_326008) BOUND_VARIABLE_326009))))) (let ((_let_11482 (forall ((BOUND_VARIABLE_325988 tptp.code_integer) (BOUND_VARIABLE_325989 tptp.code_integer) (BOUND_VARIABLE_325990 tptp.code_integer)) (let ((_let_1 (ho_5399 k_5400 BOUND_VARIABLE_325989))) (= (ho_5396 (ho_5395 (ho_5394 k_5393 BOUND_VARIABLE_325988) BOUND_VARIABLE_325989) BOUND_VARIABLE_325990) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325990)) (ho_5396 (ho_5395 k_5401 _let_1) tptp.zero_z3403309356797280102nteger)) (ho_5396 (ho_5395 k_5401 (ho_5399 (ho_5398 k_5397 _let_1) tptp.one_one_Code_integer)) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_325988) BOUND_VARIABLE_325990)))))))) (let ((_let_11483 (forall ((BOUND_VARIABLE_325967 tptp.code_integer) (BOUND_VARIABLE_325968 tptp.code_integer) (BOUND_VARIABLE_325969 tptp.code_integer)) (let ((_let_1 (ho_5399 k_5400 BOUND_VARIABLE_325968))) (= (ho_5396 (ho_5395 (ho_5394 k_5406 BOUND_VARIABLE_325967) BOUND_VARIABLE_325968) BOUND_VARIABLE_325969) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325969)) (ho_5396 (ho_5395 k_5401 _let_1) tptp.zero_z3403309356797280102nteger)) (ho_5396 (ho_5395 k_5401 (ho_5399 (ho_5398 k_5397 _let_1) tptp.one_one_Code_integer)) (ho_5399 (ho_5398 k_5397 (ho_5399 k_5400 BOUND_VARIABLE_325967)) BOUND_VARIABLE_325969)))))))) (let ((_let_11484 (forall ((BOUND_VARIABLE_325958 tptp.code_integer) (BOUND_VARIABLE_325959 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 k_5407 BOUND_VARIABLE_325958) BOUND_VARIABLE_325959) (ho_5405 (ho_5413 (ho_5412 k_5411 k_5410) (ho_5398 k_5409 BOUND_VARIABLE_325958)) BOUND_VARIABLE_325959))))) (let ((_let_11485 (forall ((BOUND_VARIABLE_325937 tptp.code_integer) (BOUND_VARIABLE_325938 tptp.code_integer) (BOUND_VARIABLE_325939 tptp.code_integer)) (let ((_let_1 (ho_5399 k_5400 BOUND_VARIABLE_325938))) (= (ho_5396 (ho_5395 (ho_5394 k_5414 BOUND_VARIABLE_325937) BOUND_VARIABLE_325938) BOUND_VARIABLE_325939) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325939)) (ho_5396 (ho_5395 k_5401 _let_1) tptp.zero_z3403309356797280102nteger)) (ho_5396 (ho_5395 k_5401 (ho_5399 (ho_5398 k_5397 _let_1) tptp.one_one_Code_integer)) (ho_5399 (ho_5398 k_5397 (ho_5399 k_5415 BOUND_VARIABLE_325937)) BOUND_VARIABLE_325939)))))))) (let ((_let_11486 (forall ((BOUND_VARIABLE_325915 tptp.code_integer) (BOUND_VARIABLE_325916 tptp.code_integer)) (let ((_let_1 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)))) (let ((_let_2 (ho_4914 (ho_5432 (ho_5431 _let_1 k_5420) (ho_5419 k_5418 (ho_4529 k_4528 tptp.one))) (ho_5417 k_5416 BOUND_VARIABLE_325915)))) (= (ho_4914 (ho_5432 (ho_5435 k_5434 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325916)) _let_2) (ho_4914 (ho_5432 (ho_5431 _let_1 k_5433) _let_2) tptp.one_one_int)) (ho_5417 (ho_5437 k_5436 BOUND_VARIABLE_325915) BOUND_VARIABLE_325916))))))) (let ((_let_11487 (forall ((BOUND_VARIABLE_325891 tptp.code_integer) (BOUND_VARIABLE_325892 tptp.code_integer)) (let ((_let_1 (ho_5445 (ho_5444 (ho_5443 (ho_5442 k_5441 k_5416) k_5440) k_5438) BOUND_VARIABLE_325891))) (let ((_let_2 (ho_4529 (ho_5447 k_5446 _let_1) _let_1))) (= (ho_4529 (ho_5447 (ho_5449 k_5448 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325892)) _let_2) (ho_4529 (ho_5447 k_5446 _let_2) tptp.one)) (ho_5445 (ho_5451 k_5450 BOUND_VARIABLE_325891) BOUND_VARIABLE_325892))))))) (let ((_let_11488 (forall ((BOUND_VARIABLE_325876 tptp.code_integer) (BOUND_VARIABLE_325877 tptp.code_integer)) (let ((_let_1 (ho_5454 k_5455 BOUND_VARIABLE_325876))) (let ((_let_2 (ho_4855 (ho_5457 k_5456 _let_1) _let_1))) (= (ho_5454 (ho_5453 k_5452 BOUND_VARIABLE_325876) BOUND_VARIABLE_325877) (ho_4855 (ho_5457 (ho_5459 k_5458 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325877)) _let_2) (ho_4855 (ho_5457 k_5456 _let_2) tptp.one_one_nat)))))))) (let ((_let_11489 (forall ((BOUND_VARIABLE_325858 tptp.code_integer) (BOUND_VARIABLE_325859 tptp.code_integer)) (let ((_let_1 (ho_5399 k_5400 BOUND_VARIABLE_325858))) (= (ho_5396 (ho_5395 k_5460 BOUND_VARIABLE_325858) BOUND_VARIABLE_325859) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325859)) (ho_5396 (ho_5395 k_5401 _let_1) tptp.zero_z3403309356797280102nteger)) (ho_5396 (ho_5395 k_5401 (ho_5399 (ho_5398 k_5397 _let_1) tptp.one_one_Code_integer)) (ho_5399 (ho_5398 k_5397 (ho_5462 k_5461 (ho_4529 k_4528 tptp.one))) BOUND_VARIABLE_325859)))))))) (let ((_let_11490 (forall ((BOUND_VARIABLE_325840 tptp.code_integer) (BOUND_VARIABLE_325841 tptp.code_integer)) (let ((_let_1 (ho_5399 k_5400 BOUND_VARIABLE_325840))) (= (ho_5396 (ho_5395 k_5463 BOUND_VARIABLE_325840) BOUND_VARIABLE_325841) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325841)) (ho_5396 (ho_5395 k_5401 _let_1) tptp.zero_z3403309356797280102nteger)) (ho_5396 (ho_5395 k_5401 (ho_5399 (ho_5398 k_5397 _let_1) tptp.one_one_Code_integer)) (ho_5399 (ho_5398 k_5397 (ho_5399 k_5400 (ho_5462 k_5461 (ho_4529 k_4528 tptp.one)))) BOUND_VARIABLE_325841)))))))) (let ((_let_11491 (forall ((BOUND_VARIABLE_325823 tptp.nat)) (= (ho_4845 k_4844 (ho_4511 k_4842 BOUND_VARIABLE_325823)) (ho_4551 k_5464 BOUND_VARIABLE_325823))))) (let ((_let_11492 (forall ((BOUND_VARIABLE_325801 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325802 tptp.nat) (BOUND_VARIABLE_325803 tptp.nat)) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325801)) BOUND_VARIABLE_325803)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325802) (ho_5369 k_5368 BOUND_VARIABLE_325801))) (ho_4593 (ho_4511 (ho_5472 k_5471 BOUND_VARIABLE_325801) BOUND_VARIABLE_325802) BOUND_VARIABLE_325803))))) (let ((_let_11493 (forall ((BOUND_VARIABLE_325779 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325780 tptp.nat) (BOUND_VARIABLE_325781 tptp.nat)) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325779)) BOUND_VARIABLE_325781)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325780) (ho_5369 k_5368 BOUND_VARIABLE_325779))) (ho_4593 (ho_4511 (ho_5472 k_5473 BOUND_VARIABLE_325779) BOUND_VARIABLE_325780) BOUND_VARIABLE_325781))))) (let ((_let_11494 (forall ((BOUND_VARIABLE_325757 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325758 tptp.nat) (BOUND_VARIABLE_325759 tptp.nat)) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325757)) BOUND_VARIABLE_325759)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325758) (ho_5369 k_5368 BOUND_VARIABLE_325757))) (ho_4593 (ho_4511 (ho_5472 k_5474 BOUND_VARIABLE_325757) BOUND_VARIABLE_325758) BOUND_VARIABLE_325759))))) (let ((_let_11495 (forall ((BOUND_VARIABLE_325735 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325736 tptp.nat) (BOUND_VARIABLE_325737 tptp.nat)) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325735)) BOUND_VARIABLE_325737)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325736) (ho_5369 k_5368 BOUND_VARIABLE_325735))) (ho_4593 (ho_4511 (ho_5472 k_5475 BOUND_VARIABLE_325735) BOUND_VARIABLE_325736) BOUND_VARIABLE_325737))))) (let ((_let_11496 (forall ((BOUND_VARIABLE_325713 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325714 tptp.nat) (BOUND_VARIABLE_325715 tptp.nat)) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325713)) BOUND_VARIABLE_325715)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325714) (ho_5369 k_5368 BOUND_VARIABLE_325713))) (ho_4593 (ho_4511 (ho_5472 k_5476 BOUND_VARIABLE_325713) BOUND_VARIABLE_325714) BOUND_VARIABLE_325715))))) (let ((_let_11497 (forall ((BOUND_VARIABLE_325691 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325692 tptp.nat) (BOUND_VARIABLE_325693 tptp.nat)) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325691)) BOUND_VARIABLE_325693)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325692) (ho_5369 k_5368 BOUND_VARIABLE_325691))) (ho_4593 (ho_4511 (ho_5472 k_5477 BOUND_VARIABLE_325691) BOUND_VARIABLE_325692) BOUND_VARIABLE_325693))))) (let ((_let_11498 (forall ((BOUND_VARIABLE_325669 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325670 tptp.nat) (BOUND_VARIABLE_325671 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325669)) BOUND_VARIABLE_325670)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325669)) BOUND_VARIABLE_325671)) (ho_4518 (ho_4517 (ho_5479 k_5478 BOUND_VARIABLE_325669) BOUND_VARIABLE_325670) BOUND_VARIABLE_325671))))) (let ((_let_11499 (forall ((BOUND_VARIABLE_325647 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325648 tptp.nat) (BOUND_VARIABLE_325649 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325647)) BOUND_VARIABLE_325648)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325647)) BOUND_VARIABLE_325649)) (ho_4518 (ho_4517 (ho_5479 k_5480 BOUND_VARIABLE_325647) BOUND_VARIABLE_325648) BOUND_VARIABLE_325649))))) (let ((_let_11500 (forall ((BOUND_VARIABLE_325625 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325626 tptp.nat) (BOUND_VARIABLE_325627 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325625)) BOUND_VARIABLE_325627)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325625)) BOUND_VARIABLE_325626)) (ho_4518 (ho_4517 (ho_5479 k_5481 BOUND_VARIABLE_325625) BOUND_VARIABLE_325626) BOUND_VARIABLE_325627))))) (let ((_let_11501 (forall ((BOUND_VARIABLE_325603 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325604 tptp.nat) (BOUND_VARIABLE_325605 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325603)) BOUND_VARIABLE_325605)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325603)) BOUND_VARIABLE_325604)) (ho_4518 (ho_4517 (ho_5479 k_5482 BOUND_VARIABLE_325603) BOUND_VARIABLE_325604) BOUND_VARIABLE_325605))))) (let ((_let_11502 (forall ((BOUND_VARIABLE_325583 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325584 tptp.nat) (BOUND_VARIABLE_325585 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5472 k_5483 BOUND_VARIABLE_325583) BOUND_VARIABLE_325584) BOUND_VARIABLE_325585) (= (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325583)) BOUND_VARIABLE_325585) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325584) (ho_5369 k_5368 BOUND_VARIABLE_325583))))))) (let ((_let_11503 (forall ((BOUND_VARIABLE_325550 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325551 tptp.nat) (BOUND_VARIABLE_325552 tptp.nat)) (let ((_let_1 (ho_5457 k_5484 (ho_5369 k_5368 BOUND_VARIABLE_325550)))) (let ((_let_2 (ho_5457 k_5484 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325550)))) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_325551)) (ho_4855 _let_1 BOUND_VARIABLE_325552))) (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_325552)) (ho_4855 _let_1 BOUND_VARIABLE_325551))) (ho_4518 (ho_4517 (ho_5479 k_5485 BOUND_VARIABLE_325550) BOUND_VARIABLE_325551) BOUND_VARIABLE_325552))))))) (let ((_let_11504 (forall ((BOUND_VARIABLE_325517 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325518 tptp.nat) (BOUND_VARIABLE_325519 tptp.nat)) (let ((_let_1 (ho_5457 k_5484 (ho_5369 k_5368 BOUND_VARIABLE_325517)))) (let ((_let_2 (ho_5457 k_5484 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325517)))) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_325518)) (ho_4855 _let_1 BOUND_VARIABLE_325519))) (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_325519)) (ho_4855 _let_1 BOUND_VARIABLE_325518))) (ho_4518 (ho_4517 (ho_5479 k_5486 BOUND_VARIABLE_325517) BOUND_VARIABLE_325518) BOUND_VARIABLE_325519))))))) (let ((_let_11505 (forall ((BOUND_VARIABLE_325484 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325485 tptp.nat) (BOUND_VARIABLE_325486 tptp.nat)) (let ((_let_1 (ho_5457 k_5484 (ho_5369 k_5368 BOUND_VARIABLE_325484)))) (let ((_let_2 (ho_5457 k_5484 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325484)))) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_325485)) (ho_4855 _let_1 BOUND_VARIABLE_325486))) (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_325486)) (ho_4855 _let_1 BOUND_VARIABLE_325485))) (ho_4518 (ho_4517 (ho_5479 k_5487 BOUND_VARIABLE_325484) BOUND_VARIABLE_325485) BOUND_VARIABLE_325486))))))) (let ((_let_11506 (forall ((BOUND_VARIABLE_325462 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325463 tptp.nat) (BOUND_VARIABLE_325464 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325462)) BOUND_VARIABLE_325463)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325462)) BOUND_VARIABLE_325464)) (ho_4518 (ho_4517 (ho_5479 k_5488 BOUND_VARIABLE_325462) BOUND_VARIABLE_325463) BOUND_VARIABLE_325464))))) (let ((_let_11507 (forall ((BOUND_VARIABLE_325440 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325441 tptp.nat) (BOUND_VARIABLE_325442 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325440)) BOUND_VARIABLE_325441)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325440)) BOUND_VARIABLE_325442)) (ho_4518 (ho_4517 (ho_5479 k_5489 BOUND_VARIABLE_325440) BOUND_VARIABLE_325441) BOUND_VARIABLE_325442))))) (let ((_let_11508 (forall ((BOUND_VARIABLE_325418 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325419 tptp.nat) (BOUND_VARIABLE_325420 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325418)) BOUND_VARIABLE_325420)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325418)) BOUND_VARIABLE_325419)) (ho_4518 (ho_4517 (ho_5479 k_5490 BOUND_VARIABLE_325418) BOUND_VARIABLE_325419) BOUND_VARIABLE_325420))))) (let ((_let_11509 (forall ((BOUND_VARIABLE_325396 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325397 tptp.nat) (BOUND_VARIABLE_325398 tptp.nat)) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325396)) BOUND_VARIABLE_325398)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325397) (ho_5369 k_5368 BOUND_VARIABLE_325396))) (ho_4593 (ho_4511 (ho_5472 k_5491 BOUND_VARIABLE_325396) BOUND_VARIABLE_325397) BOUND_VARIABLE_325398))))) (let ((_let_11510 (forall ((BOUND_VARIABLE_325373 tptp.int) (BOUND_VARIABLE_325374 tptp.nat) (BOUND_VARIABLE_325375 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_325373))) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_325375)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325374) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_5492 BOUND_VARIABLE_325373) BOUND_VARIABLE_325374) BOUND_VARIABLE_325375)))))) (let ((_let_11511 (forall ((BOUND_VARIABLE_325351 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325352 tptp.nat) (BOUND_VARIABLE_325353 tptp.nat)) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325351)) BOUND_VARIABLE_325353)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325352) (ho_5369 k_5368 BOUND_VARIABLE_325351))) (ho_4593 (ho_4511 (ho_5472 k_5494 BOUND_VARIABLE_325351) BOUND_VARIABLE_325352) BOUND_VARIABLE_325353))))) (let ((_let_11512 (forall ((BOUND_VARIABLE_325328 tptp.int) (BOUND_VARIABLE_325329 tptp.nat) (BOUND_VARIABLE_325330 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_325328))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_325330)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_325329) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_5495 BOUND_VARIABLE_325328) BOUND_VARIABLE_325329) BOUND_VARIABLE_325330)))))) (let ((_let_11513 (forall ((BOUND_VARIABLE_325321 tptp.nat) (BOUND_VARIABLE_325322 tptp.nat)) (= (= BOUND_VARIABLE_325321 BOUND_VARIABLE_325322) (ho_4593 (ho_4511 k_5496 BOUND_VARIABLE_325321) BOUND_VARIABLE_325322))))) (let ((_let_11514 (forall ((BOUND_VARIABLE_325314 tptp.nat) (BOUND_VARIABLE_325315 tptp.nat)) (= (= BOUND_VARIABLE_325314 BOUND_VARIABLE_325315) (ho_4593 (ho_4511 k_5497 BOUND_VARIABLE_325314) BOUND_VARIABLE_325315))))) (let ((_let_11515 (forall ((BOUND_VARIABLE_325301 Bool)) (let ((_let_1 (ho_4515 k_4514 (ho_4513 k_4512 k_4510)))) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_325301) (ho_5506 k_5505 (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 k_5498) tptp.top_top_set_o)))) (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 _let_1) _let_1)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490)))) (ho_4615 k_5507 BOUND_VARIABLE_325301)))))) (let ((_let_11516 (forall ((BOUND_VARIABLE_325285 Bool)) (let ((_let_1 (ho_4515 k_4514 (ho_4513 k_4512 k_4510)))) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_325285) (ho_5506 k_5508 (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 k_5498) tptp.top_top_set_o)))) (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 _let_1) _let_1)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490)))) (ho_4615 k_5509 BOUND_VARIABLE_325285)))))) (let ((_let_11517 (forall ((BOUND_VARIABLE_325263 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325264 tptp.nat) (BOUND_VARIABLE_325265 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_325263)) BOUND_VARIABLE_325265)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_325263)) BOUND_VARIABLE_325264)) (ho_4518 (ho_4517 (ho_5479 k_5510 BOUND_VARIABLE_325263) BOUND_VARIABLE_325264) BOUND_VARIABLE_325265))))) (let ((_let_11518 (forall ((BOUND_VARIABLE_325254 tptp.nat) (BOUND_VARIABLE_325255 tptp.nat)) (= (ho_4518 (ho_4517 k_5511 BOUND_VARIABLE_325254) BOUND_VARIABLE_325255) (ho_4518 (ho_4517 k_4516 (ho_4855 k_5512 BOUND_VARIABLE_325254)) BOUND_VARIABLE_325255))))) (let ((_let_11519 (forall ((BOUND_VARIABLE_325212 tptp.nat) (BOUND_VARIABLE_325213 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4847 k_4846 BOUND_VARIABLE_325213) BOUND_VARIABLE_325212)) (ho_4524 (ho_4523 k_5513 BOUND_VARIABLE_325212) BOUND_VARIABLE_325213))))) (let ((_let_11520 (forall ((BOUND_VARIABLE_325204 tptp.nat) (BOUND_VARIABLE_325205 tptp.nat)) (= (ho_4593 (ho_4511 k_5514 BOUND_VARIABLE_325204) BOUND_VARIABLE_325205) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_325205) BOUND_VARIABLE_325204))))) (let ((_let_11521 (forall ((BOUND_VARIABLE_325166 tptp.nat) (BOUND_VARIABLE_325167 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4847 k_4851 BOUND_VARIABLE_325167) BOUND_VARIABLE_325166)) (ho_4524 (ho_4523 k_5515 BOUND_VARIABLE_325166) BOUND_VARIABLE_325167))))) (let ((_let_11522 (forall ((BOUND_VARIABLE_351825 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_325138 tptp.set_nat) (BOUND_VARIABLE_325139 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_325139)) (ho_4765 (ho_4764 k_4763 (ho_4859 k_4858 BOUND_VARIABLE_351825)) BOUND_VARIABLE_325138))) (ho_4593 (ho_4762 (ho_5517 k_5516 BOUND_VARIABLE_351825) BOUND_VARIABLE_325138) BOUND_VARIABLE_325139))))) (let ((_let_11523 (forall ((BOUND_VARIABLE_351847 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_325108 tptp.set_o) (BOUND_VARIABLE_325109 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_325109)) (ho_4699 (ho_4698 k_4697 (ho_4861 k_4860 BOUND_VARIABLE_351847)) BOUND_VARIABLE_325108))) (ho_4593 (ho_5000 (ho_5519 k_5518 BOUND_VARIABLE_351847) BOUND_VARIABLE_325108) BOUND_VARIABLE_325109))))) (let ((_let_11524 (forall ((BOUND_VARIABLE_351869 |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_325078 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_325079 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_325079)) (ho_4981 (ho_4980 k_4979 (ho_4872 k_4871 BOUND_VARIABLE_351869)) BOUND_VARIABLE_325078))) (ho_4593 (ho_4986 (ho_5521 k_5520 BOUND_VARIABLE_351869) BOUND_VARIABLE_325078) BOUND_VARIABLE_325079))))) (let ((_let_11525 (forall ((BOUND_VARIABLE_351891 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_325048 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_325049 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_325049)) (ho_5110 (ho_5109 k_5108 (ho_4878 k_4877 BOUND_VARIABLE_351891)) BOUND_VARIABLE_325048))) (ho_4593 (ho_5107 (ho_5523 k_5522 BOUND_VARIABLE_351891) BOUND_VARIABLE_325048) BOUND_VARIABLE_325049))))) (let ((_let_11526 (forall ((BOUND_VARIABLE_351913 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_325018 tptp.set_Product_unit) (BOUND_VARIABLE_325019 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_325019)) (ho_4945 (ho_4944 k_4943 (ho_4882 k_4881 BOUND_VARIABLE_351913)) BOUND_VARIABLE_325018))) (ho_4593 (ho_5009 (ho_5525 k_5524 BOUND_VARIABLE_351913) BOUND_VARIABLE_325018) BOUND_VARIABLE_325019))))) (let ((_let_11527 (forall ((BOUND_VARIABLE_324981 tptp.set_nat) (BOUND_VARIABLE_324982 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_4889 BOUND_VARIABLE_324982) BOUND_VARIABLE_324981)) (ho_4524 (ho_5287 k_5526 BOUND_VARIABLE_324981) BOUND_VARIABLE_324982))))) (let ((_let_11528 (forall ((BOUND_VARIABLE_324948 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 k_4895 BOUND_VARIABLE_324948)) (ho_4524 k_5527 BOUND_VARIABLE_324948))))) (let ((_let_11529 (forall ((BOUND_VARIABLE_351954 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_324939 tptp.product_prod_int_int)) (= (ho_4599 (ho_5529 k_5528 BOUND_VARIABLE_351954) BOUND_VARIABLE_324939) (= (ho_4914 BOUND_VARIABLE_351954 (ho_5531 k_5530 BOUND_VARIABLE_324939)) (ho_5531 k_5532 BOUND_VARIABLE_324939)))))) (let ((_let_11530 (forall ((BOUND_VARIABLE_351977 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_324930 tptp.nat) (BOUND_VARIABLE_324931 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5534 k_5533 BOUND_VARIABLE_351977) BOUND_VARIABLE_324930) BOUND_VARIABLE_324931) (= BOUND_VARIABLE_324931 (ho_4855 BOUND_VARIABLE_351977 BOUND_VARIABLE_324930)))))) (let ((_let_11531 (forall ((BOUND_VARIABLE_351991 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_324892 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_4905 BOUND_VARIABLE_351991) BOUND_VARIABLE_324892)) (ho_4610 (ho_5536 k_5535 BOUND_VARIABLE_351991) BOUND_VARIABLE_324892))))) (let ((_let_11532 (forall ((BOUND_VARIABLE_352007 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_324854 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_4908 BOUND_VARIABLE_352007) BOUND_VARIABLE_324854)) (ho_4610 (ho_5536 k_5537 BOUND_VARIABLE_352007) BOUND_VARIABLE_324854))))) (let ((_let_11533 (forall ((BOUND_VARIABLE_324843 tptp.nat) (BOUND_VARIABLE_324844 tptp.num)) (= (ho_5540 (ho_5539 k_5538 BOUND_VARIABLE_324843) BOUND_VARIABLE_324844) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_324843) BOUND_VARIABLE_324844)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_11534 (forall ((BOUND_VARIABLE_324833 tptp.nat) (BOUND_VARIABLE_324834 tptp.num)) (= (ho_5540 (ho_5539 k_5547 BOUND_VARIABLE_324833) BOUND_VARIABLE_324834) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_324833) BOUND_VARIABLE_324834)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_11535 (forall ((BOUND_VARIABLE_324797 tptp.set_nat) (BOUND_VARIABLE_324798 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_4909 BOUND_VARIABLE_324798) BOUND_VARIABLE_324797)) (ho_4524 (ho_5287 k_5548 BOUND_VARIABLE_324797) BOUND_VARIABLE_324798))))) (let ((_let_11536 (forall ((BOUND_VARIABLE_324766 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324767 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324768 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_324768)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_4910 BOUND_VARIABLE_324766) BOUND_VARIABLE_324767)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5549 BOUND_VARIABLE_324766) BOUND_VARIABLE_324767) BOUND_VARIABLE_324768))))) (let ((_let_11537 (forall ((BOUND_VARIABLE_324756 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_324757 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_324758 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5550 BOUND_VARIABLE_324756) BOUND_VARIABLE_324757) BOUND_VARIABLE_324758) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_324758) BOUND_VARIABLE_324756) BOUND_VARIABLE_324757))))) (let ((_let_11538 (forall ((BOUND_VARIABLE_324740 tptp.set_nat) (BOUND_VARIABLE_324741 tptp.nat) (BOUND_VARIABLE_324742 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_324742) BOUND_VARIABLE_324740) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_324741) (ho_4845 k_4844 k_4852))) (ho_4556 (ho_4555 (ho_5558 k_5557 BOUND_VARIABLE_324740) BOUND_VARIABLE_324741) BOUND_VARIABLE_324742))))) (let ((_let_11539 (forall ((BOUND_VARIABLE_324724 tptp.set_nat) (BOUND_VARIABLE_324725 tptp.nat) (BOUND_VARIABLE_324726 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_324726) BOUND_VARIABLE_324724) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_324725) (ho_4845 k_4844 k_4852))) (ho_4556 (ho_4555 (ho_5558 k_5559 BOUND_VARIABLE_324724) BOUND_VARIABLE_324725) BOUND_VARIABLE_324726))))) (let ((_let_11540 (forall ((BOUND_VARIABLE_324708 tptp.set_nat) (BOUND_VARIABLE_324709 tptp.nat) (BOUND_VARIABLE_324710 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_324710) BOUND_VARIABLE_324708) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_324709) (ho_4845 k_4844 k_4852))) (ho_4556 (ho_4555 (ho_5558 k_5560 BOUND_VARIABLE_324708) BOUND_VARIABLE_324709) BOUND_VARIABLE_324710))))) (let ((_let_11541 (forall ((BOUND_VARIABLE_324686 tptp.nat) (BOUND_VARIABLE_324687 tptp.nat) (BOUND_VARIABLE_324688 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324689 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_324689) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_324686) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_324687) (ho_4845 k_4844 k_4852)))) (ho_4870 k_5561 BOUND_VARIABLE_324688)) (ho_4556 (ho_5565 (ho_5564 (ho_5563 k_5562 BOUND_VARIABLE_324686) BOUND_VARIABLE_324687) BOUND_VARIABLE_324688) BOUND_VARIABLE_324689))))) (let ((_let_11542 (forall ((BOUND_VARIABLE_324664 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_324665 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_324666 tptp.set_Pr5564308138774400199at_nat) (BOUND_VARIABLE_324667 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_324667) (ho_4501 (ho_4500 k_4499 BOUND_VARIABLE_324664) (ho_4501 (ho_4500 k_4499 BOUND_VARIABLE_324665) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))))) (ho_5567 k_5566 BOUND_VARIABLE_324666)) (ho_4615 (ho_5571 (ho_5570 (ho_5569 k_5568 BOUND_VARIABLE_324664) BOUND_VARIABLE_324665) BOUND_VARIABLE_324666) BOUND_VARIABLE_324667))))) (let ((_let_11543 (forall ((BOUND_VARIABLE_352223 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_352222 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_324607 tptp.set_int) (BOUND_VARIABLE_324608 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 (ho_4922 (ho_4921 k_4920 BOUND_VARIABLE_352223) BOUND_VARIABLE_352222) BOUND_VARIABLE_324608) BOUND_VARIABLE_324607)) (ho_4610 (ho_5575 (ho_5574 (ho_5573 k_5572 BOUND_VARIABLE_352223) BOUND_VARIABLE_352222) BOUND_VARIABLE_324607) BOUND_VARIABLE_324608))))) (let ((_let_11544 (forall ((BOUND_VARIABLE_352253 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_352252 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_324548 tptp.set_nat) (BOUND_VARIABLE_324549 tptp.int)) (= (ho_4601 k_4600 (ho_4936 (ho_4935 (ho_4934 (ho_4933 k_4932 BOUND_VARIABLE_352253) BOUND_VARIABLE_352252) BOUND_VARIABLE_324549) BOUND_VARIABLE_324548)) (ho_4610 (ho_5579 (ho_5578 (ho_5577 k_5576 BOUND_VARIABLE_352253) BOUND_VARIABLE_352252) BOUND_VARIABLE_324548) BOUND_VARIABLE_324549))))) (let ((_let_11545 (forall ((BOUND_VARIABLE_352294 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_324496 tptp.product_unit) (BOUND_VARIABLE_324497 tptp.set_Product_unit) (BOUND_VARIABLE_324498 tptp.set_nat) (BOUND_VARIABLE_324499 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_324499) (ho_4845 k_4844 (ho_4940 (ho_4939 (ho_4938 k_4937 BOUND_VARIABLE_352294) BOUND_VARIABLE_324497) BOUND_VARIABLE_324496))) (ho_4560 (ho_4559 (ho_4558 k_4557 (ho_5582 (ho_5581 k_5580 BOUND_VARIABLE_324496) BOUND_VARIABLE_324497)) BOUND_VARIABLE_324498) (ho_4845 k_4844 k_4852))) (ho_4556 (ho_4654 (ho_5586 (ho_5585 (ho_5584 k_5583 BOUND_VARIABLE_352294) BOUND_VARIABLE_324496) BOUND_VARIABLE_324497) BOUND_VARIABLE_324498) BOUND_VARIABLE_324499))))) (let ((_let_11546 (forall ((BOUND_VARIABLE_352331 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_324445 tptp.int) (BOUND_VARIABLE_324446 tptp.set_int) (BOUND_VARIABLE_324447 tptp.set_nat) (BOUND_VARIABLE_324448 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_324448) (ho_4845 k_4844 (ho_4950 (ho_4949 (ho_4948 k_4947 BOUND_VARIABLE_352331) BOUND_VARIABLE_324446) BOUND_VARIABLE_324445))) (ho_4560 (ho_4559 (ho_4558 k_4557 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_324445) BOUND_VARIABLE_324446)) BOUND_VARIABLE_324447) (ho_4845 k_4844 k_4852))) (ho_4556 (ho_4654 (ho_5590 (ho_5589 (ho_5588 k_5587 BOUND_VARIABLE_352331) BOUND_VARIABLE_324445) BOUND_VARIABLE_324446) BOUND_VARIABLE_324447) BOUND_VARIABLE_324448))))) (let ((_let_11547 (forall ((BOUND_VARIABLE_352367 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_352366 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_324436 tptp.nat)) (= (ho_5594 (ho_5593 (ho_5592 k_5591 BOUND_VARIABLE_352367) BOUND_VARIABLE_352366) BOUND_VARIABLE_324436) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_352367) (ho_4551 BOUND_VARIABLE_352366 BOUND_VARIABLE_324436)))))) (let ((_let_11548 (forall ((BOUND_VARIABLE_352393 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_352392 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_324426 Bool)) (= (ho_5598 (ho_5597 (ho_5596 k_5595 BOUND_VARIABLE_352393) BOUND_VARIABLE_352392) BOUND_VARIABLE_324426) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_352393) (ho_4556 BOUND_VARIABLE_352392 BOUND_VARIABLE_324426)))))) (let ((_let_11549 (forall ((BOUND_VARIABLE_352419 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_352418 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_324416 tptp.int)) (= (ho_4946 (ho_5601 (ho_5600 k_5599 BOUND_VARIABLE_352419) BOUND_VARIABLE_352418) BOUND_VARIABLE_324416) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_352419) (ho_4896 BOUND_VARIABLE_352418 BOUND_VARIABLE_324416)))))) (let ((_let_11550 (forall ((BOUND_VARIABLE_352442 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_352441 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_324406 tptp.nat)) (= (ho_4551 (ho_5604 (ho_5603 k_5602 BOUND_VARIABLE_352442) BOUND_VARIABLE_352441) BOUND_VARIABLE_324406) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_352442) (ho_5594 BOUND_VARIABLE_352441 BOUND_VARIABLE_324406)))))) (let ((_let_11551 (forall ((BOUND_VARIABLE_352465 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_352464 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_324396 Bool)) (= (ho_4556 (ho_5607 (ho_5606 k_5605 BOUND_VARIABLE_352465) BOUND_VARIABLE_352464) BOUND_VARIABLE_324396) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_352465) (ho_5598 BOUND_VARIABLE_352464 BOUND_VARIABLE_324396)))))) (let ((_let_11552 (forall ((BOUND_VARIABLE_352488 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_352487 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_324386 tptp.int)) (= (ho_4896 (ho_5610 (ho_5609 k_5608 BOUND_VARIABLE_352488) BOUND_VARIABLE_352487) BOUND_VARIABLE_324386) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_352488) (ho_4896 BOUND_VARIABLE_352487 BOUND_VARIABLE_324386)))))) (let ((_let_11553 (forall ((BOUND_VARIABLE_352510 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_352509 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_324376 tptp.nat)) (= (ho_5594 (ho_5613 (ho_5612 k_5611 BOUND_VARIABLE_352510) BOUND_VARIABLE_352509) BOUND_VARIABLE_324376) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_352510) (ho_5594 BOUND_VARIABLE_352509 BOUND_VARIABLE_324376)))))) (let ((_let_11554 (forall ((BOUND_VARIABLE_352532 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_352531 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_324366 Bool)) (= (ho_5598 (ho_5616 (ho_5615 k_5614 BOUND_VARIABLE_352532) BOUND_VARIABLE_352531) BOUND_VARIABLE_324366) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_352532) (ho_5598 BOUND_VARIABLE_352531 BOUND_VARIABLE_324366)))))) (let ((_let_11555 (forall ((BOUND_VARIABLE_324355 tptp.nat)) (= (ho_4593 k_5617 BOUND_VARIABLE_324355) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_324355)) (ho_4765 (ho_4764 k_4763 k_5618) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))))))) (let ((_let_11556 (forall ((BOUND_VARIABLE_324345 tptp.set_nat) (BOUND_VARIABLE_352565 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_324347 tptp.nat)) (= (ho_4551 (ho_5621 (ho_5620 k_5619 BOUND_VARIABLE_324345) BOUND_VARIABLE_352565) BOUND_VARIABLE_324347) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_324345) (ho_4551 BOUND_VARIABLE_352565 BOUND_VARIABLE_324347)))))) (let ((_let_11557 (forall ((BOUND_VARIABLE_324335 tptp.set_nat) (BOUND_VARIABLE_352586 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_324337 Bool)) (= (ho_4556 (ho_5624 (ho_5623 k_5622 BOUND_VARIABLE_324335) BOUND_VARIABLE_352586) BOUND_VARIABLE_324337) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_324335) (ho_4556 BOUND_VARIABLE_352586 BOUND_VARIABLE_324337)))))) (let ((_let_11558 (forall ((BOUND_VARIABLE_324325 tptp.set_nat) (BOUND_VARIABLE_352607 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_324327 tptp.product_prod_nat_nat)) (= (ho_4628 (ho_5627 (ho_5626 k_5625 BOUND_VARIABLE_324325) BOUND_VARIABLE_352607) BOUND_VARIABLE_324327) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_324325) (ho_4628 BOUND_VARIABLE_352607 BOUND_VARIABLE_324327)))))) (let ((_let_11559 (forall ((BOUND_VARIABLE_324315 tptp.set_nat) (BOUND_VARIABLE_352628 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_324317 tptp.produc3843707927480180839at_nat)) (= (ho_4879 (ho_5630 (ho_5629 k_5628 BOUND_VARIABLE_324315) BOUND_VARIABLE_352628) BOUND_VARIABLE_324317) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_324315) (ho_4879 BOUND_VARIABLE_352628 BOUND_VARIABLE_324317)))))) (let ((_let_11560 (forall ((BOUND_VARIABLE_324305 tptp.set_nat) (BOUND_VARIABLE_352649 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_324307 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_5631 BOUND_VARIABLE_324305) BOUND_VARIABLE_352649) BOUND_VARIABLE_324307) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_324305) (ho_4639 BOUND_VARIABLE_352649 BOUND_VARIABLE_324307)))))) (let ((_let_11561 (forall ((BOUND_VARIABLE_324295 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_352670 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324297 tptp.nat)) (= (ho_4524 (ho_5636 (ho_5635 k_5634 BOUND_VARIABLE_324295) BOUND_VARIABLE_352670) BOUND_VARIABLE_324297) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_324295) (ho_4524 BOUND_VARIABLE_352670 BOUND_VARIABLE_324297)))))) (let ((_let_11562 (forall ((BOUND_VARIABLE_324285 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_352696 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324287 Bool)) (= (ho_5639 (ho_5642 (ho_5641 k_5640 BOUND_VARIABLE_324285) BOUND_VARIABLE_352696) BOUND_VARIABLE_324287) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_324285) (ho_5639 BOUND_VARIABLE_352696 BOUND_VARIABLE_324287)))))) (let ((_let_11563 (forall ((BOUND_VARIABLE_324275 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_352720 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324277 tptp.product_prod_nat_nat)) (= (ho_5643 (ho_5646 (ho_5645 k_5644 BOUND_VARIABLE_324275) BOUND_VARIABLE_352720) BOUND_VARIABLE_324277) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_324275) (ho_5643 BOUND_VARIABLE_352720 BOUND_VARIABLE_324277)))))) (let ((_let_11564 (forall ((BOUND_VARIABLE_324265 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_352744 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324267 tptp.produc3843707927480180839at_nat)) (= (ho_5647 (ho_5650 (ho_5649 k_5648 BOUND_VARIABLE_324265) BOUND_VARIABLE_352744) BOUND_VARIABLE_324267) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_324265) (ho_5647 BOUND_VARIABLE_352744 BOUND_VARIABLE_324267)))))) (let ((_let_11565 (forall ((BOUND_VARIABLE_324255 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_352768 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324257 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_5653 k_5652 BOUND_VARIABLE_324255) BOUND_VARIABLE_352768) BOUND_VARIABLE_324257) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_324255) (ho_5651 BOUND_VARIABLE_352768 BOUND_VARIABLE_324257)))))) (let ((_let_11566 (forall ((BOUND_VARIABLE_324246 tptp.nat)) (= (ho_4593 k_5655 BOUND_VARIABLE_324246) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_324246)) (ho_4765 (ho_4764 k_4763 k_5618) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))))))) (let ((_let_11567 (forall ((BOUND_VARIABLE_352800 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_324237 tptp.set_nat) (BOUND_VARIABLE_324238 tptp.nat)) (= (ho_4551 (ho_5658 (ho_5657 k_5656 BOUND_VARIABLE_352800) BOUND_VARIABLE_324237) BOUND_VARIABLE_324238) (ho_4560 (ho_4559 k_4928 (ho_4551 BOUND_VARIABLE_352800 BOUND_VARIABLE_324238)) BOUND_VARIABLE_324237))))) (let ((_let_11568 (forall ((BOUND_VARIABLE_352821 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_324227 tptp.set_nat) (BOUND_VARIABLE_324228 Bool)) (= (ho_4556 (ho_4654 (ho_5660 k_5659 BOUND_VARIABLE_352821) BOUND_VARIABLE_324227) BOUND_VARIABLE_324228) (ho_4560 (ho_4559 k_4928 (ho_4556 BOUND_VARIABLE_352821 BOUND_VARIABLE_324228)) BOUND_VARIABLE_324227))))) (let ((_let_11569 (forall ((BOUND_VARIABLE_352839 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_324217 tptp.set_nat) (BOUND_VARIABLE_324218 tptp.product_prod_nat_nat)) (= (ho_4628 (ho_5663 (ho_5662 k_5661 BOUND_VARIABLE_352839) BOUND_VARIABLE_324217) BOUND_VARIABLE_324218) (ho_4560 (ho_4559 k_4928 (ho_4628 BOUND_VARIABLE_352839 BOUND_VARIABLE_324218)) BOUND_VARIABLE_324217))))) (let ((_let_11570 (forall ((BOUND_VARIABLE_352860 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_324207 tptp.set_nat) (BOUND_VARIABLE_324208 tptp.produc3843707927480180839at_nat)) (= (ho_4879 (ho_5666 (ho_5665 k_5664 BOUND_VARIABLE_352860) BOUND_VARIABLE_324207) BOUND_VARIABLE_324208) (ho_4560 (ho_4559 k_4928 (ho_4879 BOUND_VARIABLE_352860 BOUND_VARIABLE_324208)) BOUND_VARIABLE_324207))))) (let ((_let_11571 (forall ((BOUND_VARIABLE_352881 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_324197 tptp.set_nat) (BOUND_VARIABLE_324198 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_5667 BOUND_VARIABLE_352881) BOUND_VARIABLE_324197) BOUND_VARIABLE_324198) (ho_4560 (ho_4559 k_4928 (ho_4639 BOUND_VARIABLE_352881 BOUND_VARIABLE_324198)) BOUND_VARIABLE_324197))))) (let ((_let_11572 (forall ((BOUND_VARIABLE_352902 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324187 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324188 tptp.nat)) (= (ho_4524 (ho_5672 (ho_5671 k_5670 BOUND_VARIABLE_352902) BOUND_VARIABLE_324187) BOUND_VARIABLE_324188) (ho_4521 (ho_5638 k_5637 (ho_4524 BOUND_VARIABLE_352902 BOUND_VARIABLE_324188)) BOUND_VARIABLE_324187))))) (let ((_let_11573 (forall ((BOUND_VARIABLE_352923 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324177 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324178 Bool)) (= (ho_5639 (ho_5675 (ho_5674 k_5673 BOUND_VARIABLE_352923) BOUND_VARIABLE_324177) BOUND_VARIABLE_324178) (ho_4521 (ho_5638 k_5637 (ho_5639 BOUND_VARIABLE_352923 BOUND_VARIABLE_324178)) BOUND_VARIABLE_324177))))) (let ((_let_11574 (forall ((BOUND_VARIABLE_352944 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324167 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324168 tptp.product_prod_nat_nat)) (= (ho_5643 (ho_5678 (ho_5677 k_5676 BOUND_VARIABLE_352944) BOUND_VARIABLE_324167) BOUND_VARIABLE_324168) (ho_4521 (ho_5638 k_5637 (ho_5643 BOUND_VARIABLE_352944 BOUND_VARIABLE_324168)) BOUND_VARIABLE_324167))))) (let ((_let_11575 (forall ((BOUND_VARIABLE_352965 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324157 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324158 tptp.produc3843707927480180839at_nat)) (= (ho_5647 (ho_5681 (ho_5680 k_5679 BOUND_VARIABLE_352965) BOUND_VARIABLE_324157) BOUND_VARIABLE_324158) (ho_4521 (ho_5638 k_5637 (ho_5647 BOUND_VARIABLE_352965 BOUND_VARIABLE_324158)) BOUND_VARIABLE_324157))))) (let ((_let_11576 (forall ((BOUND_VARIABLE_352986 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_324147 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324148 tptp.product_unit)) (= (ho_5651 (ho_5684 (ho_5683 k_5682 BOUND_VARIABLE_352986) BOUND_VARIABLE_324147) BOUND_VARIABLE_324148) (ho_4521 (ho_5638 k_5637 (ho_5651 BOUND_VARIABLE_352986 BOUND_VARIABLE_324148)) BOUND_VARIABLE_324147))))) (let ((_let_11577 (forall ((BOUND_VARIABLE_324117 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_353004 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_324119 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_324119) BOUND_VARIABLE_324117) (ho_4495 k_4494 (ho_4956 k_4955 BOUND_VARIABLE_353004))) (ho_4615 (ho_5687 (ho_5686 k_5685 BOUND_VARIABLE_324117) BOUND_VARIABLE_353004) BOUND_VARIABLE_324119))))) (let ((_let_11578 (forall ((BOUND_VARIABLE_324085 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_353027 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_324087 tptp.set_o) (BOUND_VARIABLE_324088 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_324088) BOUND_VARIABLE_324085) (ho_4495 k_4494 (ho_4962 (ho_4961 k_4960 BOUND_VARIABLE_353027) BOUND_VARIABLE_324087))) (ho_4615 (ho_5691 (ho_5690 (ho_5689 k_5688 BOUND_VARIABLE_324085) BOUND_VARIABLE_353027) BOUND_VARIABLE_324087) BOUND_VARIABLE_324088))))) (let ((_let_11579 (forall ((BOUND_VARIABLE_324047 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_353057 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_324049 Bool)) (= (ho_4495 k_4494 (ho_4966 (ho_4965 (ho_4964 k_4963 BOUND_VARIABLE_324047) BOUND_VARIABLE_353057) BOUND_VARIABLE_324049)) (ho_4615 (ho_5687 (ho_5686 k_5692 BOUND_VARIABLE_324047) BOUND_VARIABLE_353057) BOUND_VARIABLE_324049))))) (let ((_let_11580 (forall ((BOUND_VARIABLE_324035 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_353077 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_324037 tptp.product_prod_nat_nat) (BOUND_VARIABLE_324038 Bool)) (= (ho_5499 (ho_5697 (ho_5696 (ho_5695 k_5694 BOUND_VARIABLE_324035) BOUND_VARIABLE_353077) BOUND_VARIABLE_324037) BOUND_VARIABLE_324038) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_324038) BOUND_VARIABLE_324035) (ho_5693 BOUND_VARIABLE_353077 BOUND_VARIABLE_324037)))))) (let ((_let_11581 (forall ((BOUND_VARIABLE_324006 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_353103 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_324008 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_324008) BOUND_VARIABLE_324006) (ho_4495 k_4494 (ho_4968 k_4967 BOUND_VARIABLE_353103))) (ho_4615 (ho_5700 (ho_5699 k_5698 BOUND_VARIABLE_324006) BOUND_VARIABLE_353103) BOUND_VARIABLE_324008))))) (let ((_let_11582 (forall ((BOUND_VARIABLE_323974 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_353127 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323976 tptp.set_Product_unit) (BOUND_VARIABLE_323977 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_323977) BOUND_VARIABLE_323974) (ho_4495 k_4494 (ho_4974 (ho_4973 k_4972 BOUND_VARIABLE_353127) BOUND_VARIABLE_323976))) (ho_4615 (ho_5704 (ho_5703 (ho_5702 k_5701 BOUND_VARIABLE_323974) BOUND_VARIABLE_353127) BOUND_VARIABLE_323976) BOUND_VARIABLE_323977))))) (let ((_let_11583 (forall ((BOUND_VARIABLE_323936 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_353157 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323938 tptp.product_unit)) (= (ho_4495 k_4494 (ho_4978 (ho_4977 (ho_4976 k_4975 BOUND_VARIABLE_323936) BOUND_VARIABLE_353157) BOUND_VARIABLE_323938)) (ho_4623 (ho_5707 (ho_5706 k_5705 BOUND_VARIABLE_323936) BOUND_VARIABLE_353157) BOUND_VARIABLE_323938))))) (let ((_let_11584 (forall ((BOUND_VARIABLE_323924 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_353184 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323926 tptp.nat) (BOUND_VARIABLE_323927 Bool)) (= (ho_5499 (ho_5712 (ho_5711 (ho_5710 k_5709 BOUND_VARIABLE_323924) BOUND_VARIABLE_353184) BOUND_VARIABLE_323926) BOUND_VARIABLE_323927) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323927) BOUND_VARIABLE_323924) (ho_5708 BOUND_VARIABLE_353184 BOUND_VARIABLE_323926)))))) (let ((_let_11585 (forall ((BOUND_VARIABLE_323912 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_353214 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323914 Bool) (BOUND_VARIABLE_323915 Bool)) (= (ho_5499 (ho_5716 (ho_5715 (ho_5714 k_5713 BOUND_VARIABLE_323912) BOUND_VARIABLE_353214) BOUND_VARIABLE_323914) BOUND_VARIABLE_323915) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323915) BOUND_VARIABLE_323912) (ho_5499 BOUND_VARIABLE_353214 BOUND_VARIABLE_323914)))))) (let ((_let_11586 (forall ((BOUND_VARIABLE_323900 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_353243 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323902 tptp.product_unit) (BOUND_VARIABLE_323903 Bool)) (= (ho_5499 (ho_5721 (ho_5720 (ho_5719 k_5718 BOUND_VARIABLE_323900) BOUND_VARIABLE_353243) BOUND_VARIABLE_323902) BOUND_VARIABLE_323903) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323903) BOUND_VARIABLE_323900) (ho_5717 BOUND_VARIABLE_353243 BOUND_VARIABLE_323902)))))) (let ((_let_11587 (forall ((BOUND_VARIABLE_323871 tptp.set_nat) (BOUND_VARIABLE_353269 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_323873 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323873) BOUND_VARIABLE_323871) (ho_4845 k_4844 (ho_4983 k_4982 BOUND_VARIABLE_353269))) (ho_4556 (ho_5724 (ho_5723 k_5722 BOUND_VARIABLE_323871) BOUND_VARIABLE_353269) BOUND_VARIABLE_323873))))) (let ((_let_11588 (forall ((BOUND_VARIABLE_323839 tptp.set_nat) (BOUND_VARIABLE_353293 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_323841 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_323842 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323842) BOUND_VARIABLE_323839) (ho_4845 k_4844 (ho_4986 (ho_4985 k_4984 BOUND_VARIABLE_353293) BOUND_VARIABLE_323841))) (ho_4556 (ho_5565 (ho_5727 (ho_5726 k_5725 BOUND_VARIABLE_323839) BOUND_VARIABLE_353293) BOUND_VARIABLE_323841) BOUND_VARIABLE_323842))))) (let ((_let_11589 (forall ((BOUND_VARIABLE_323801 tptp.set_nat) (BOUND_VARIABLE_353320 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_323803 tptp.product_prod_nat_nat)) (= (ho_4845 k_4844 (ho_4990 (ho_4989 (ho_4988 k_4987 BOUND_VARIABLE_323801) BOUND_VARIABLE_353320) BOUND_VARIABLE_323803)) (ho_4628 (ho_5627 (ho_5626 k_5728 BOUND_VARIABLE_323801) BOUND_VARIABLE_353320) BOUND_VARIABLE_323803))))) (let ((_let_11590 (forall ((BOUND_VARIABLE_323772 tptp.set_nat) (BOUND_VARIABLE_353335 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_323774 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323774) BOUND_VARIABLE_323772) (ho_4845 k_4844 (ho_4992 k_4991 BOUND_VARIABLE_353335))) (ho_4556 (ho_5731 (ho_5730 k_5729 BOUND_VARIABLE_323772) BOUND_VARIABLE_353335) BOUND_VARIABLE_323774))))) (let ((_let_11591 (forall ((BOUND_VARIABLE_323740 tptp.set_nat) (BOUND_VARIABLE_353359 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_323742 tptp.set_nat) (BOUND_VARIABLE_323743 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323743) BOUND_VARIABLE_323740) (ho_4845 k_4844 (ho_4762 (ho_4761 k_4993 BOUND_VARIABLE_353359) BOUND_VARIABLE_323742))) (ho_4556 (ho_4654 (ho_5734 (ho_5733 k_5732 BOUND_VARIABLE_323740) BOUND_VARIABLE_353359) BOUND_VARIABLE_323742) BOUND_VARIABLE_323743))))) (let ((_let_11592 (forall ((BOUND_VARIABLE_323703 tptp.set_nat) (BOUND_VARIABLE_353386 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_323705 tptp.nat)) (= (ho_4845 k_4844 (ho_4511 (ho_4707 (ho_4995 k_4994 BOUND_VARIABLE_323703) BOUND_VARIABLE_353386) BOUND_VARIABLE_323705)) (ho_4551 (ho_5621 (ho_5620 k_5735 BOUND_VARIABLE_323703) BOUND_VARIABLE_353386) BOUND_VARIABLE_323705))))) (let ((_let_11593 (forall ((BOUND_VARIABLE_323674 tptp.set_nat) (BOUND_VARIABLE_353401 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_323676 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323676) BOUND_VARIABLE_323674) (ho_4845 k_4844 (ho_4997 k_4996 BOUND_VARIABLE_353401))) (ho_4556 (ho_5624 (ho_5623 k_5736 BOUND_VARIABLE_323674) BOUND_VARIABLE_353401) BOUND_VARIABLE_323676))))) (let ((_let_11594 (forall ((BOUND_VARIABLE_323642 tptp.set_nat) (BOUND_VARIABLE_353417 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_323644 tptp.set_o) (BOUND_VARIABLE_323645 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323645) BOUND_VARIABLE_323642) (ho_4845 k_4844 (ho_5000 (ho_4999 k_4998 BOUND_VARIABLE_353417) BOUND_VARIABLE_323644))) (ho_4556 (ho_5740 (ho_5739 (ho_5738 k_5737 BOUND_VARIABLE_323642) BOUND_VARIABLE_353417) BOUND_VARIABLE_323644) BOUND_VARIABLE_323645))))) (let ((_let_11595 (forall ((BOUND_VARIABLE_323605 tptp.set_nat) (BOUND_VARIABLE_353447 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_323607 Bool)) (= (ho_4845 k_4844 (ho_5004 (ho_5003 (ho_5002 k_5001 BOUND_VARIABLE_323605) BOUND_VARIABLE_353447) BOUND_VARIABLE_323607)) (ho_4556 (ho_5624 (ho_5623 k_5741 BOUND_VARIABLE_323605) BOUND_VARIABLE_353447) BOUND_VARIABLE_323607))))) (let ((_let_11596 (forall ((BOUND_VARIABLE_323576 tptp.set_nat) (BOUND_VARIABLE_353462 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_323578 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323578) BOUND_VARIABLE_323576) (ho_4845 k_4844 (ho_5006 k_5005 BOUND_VARIABLE_353462))) (ho_4556 (ho_5744 (ho_5743 k_5742 BOUND_VARIABLE_323576) BOUND_VARIABLE_353462) BOUND_VARIABLE_323578))))) (let ((_let_11597 (forall ((BOUND_VARIABLE_323544 tptp.set_nat) (BOUND_VARIABLE_353486 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_323546 tptp.set_Product_unit) (BOUND_VARIABLE_323547 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323547) BOUND_VARIABLE_323544) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5007 BOUND_VARIABLE_353486) BOUND_VARIABLE_323546))) (ho_4556 (ho_5748 (ho_5747 (ho_5746 k_5745 BOUND_VARIABLE_323544) BOUND_VARIABLE_353486) BOUND_VARIABLE_323546) BOUND_VARIABLE_323547))))) (let ((_let_11598 (forall ((BOUND_VARIABLE_323507 tptp.set_nat) (BOUND_VARIABLE_353516 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_323509 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4940 (ho_5012 (ho_5011 k_5010 BOUND_VARIABLE_323507) BOUND_VARIABLE_353516) BOUND_VARIABLE_323509)) (ho_4639 (ho_5633 (ho_5632 k_5749 BOUND_VARIABLE_323507) BOUND_VARIABLE_353516) BOUND_VARIABLE_323509))))) (let ((_let_11599 (forall ((BOUND_VARIABLE_353531 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323478 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323479 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_323479) (ho_4495 k_4494 (ho_4956 k_5013 BOUND_VARIABLE_353531))) BOUND_VARIABLE_323478) (ho_4615 (ho_4647 (ho_5751 k_5750 BOUND_VARIABLE_353531) BOUND_VARIABLE_323478) BOUND_VARIABLE_323479))))) (let ((_let_11600 (forall ((BOUND_VARIABLE_353551 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323445 tptp.set_o) (BOUND_VARIABLE_323446 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323447 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_323447) (ho_4495 k_4494 (ho_4962 (ho_4961 k_5014 BOUND_VARIABLE_353551) BOUND_VARIABLE_323445))) BOUND_VARIABLE_323446) (ho_4615 (ho_4647 (ho_5754 (ho_5753 k_5752 BOUND_VARIABLE_353551) BOUND_VARIABLE_323445) BOUND_VARIABLE_323446) BOUND_VARIABLE_323447))))) (let ((_let_11601 (forall ((BOUND_VARIABLE_353577 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323407 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323408 Bool)) (= (ho_4495 k_4494 (ho_5018 (ho_5017 (ho_5016 k_5015 BOUND_VARIABLE_353577) BOUND_VARIABLE_323408) BOUND_VARIABLE_323407)) (ho_4615 (ho_4647 (ho_5751 k_5755 BOUND_VARIABLE_353577) BOUND_VARIABLE_323407) BOUND_VARIABLE_323408))))) (let ((_let_11602 (forall ((BOUND_VARIABLE_353596 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323395 tptp.product_prod_nat_nat) (BOUND_VARIABLE_323396 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323397 Bool)) (= (ho_5499 (ho_5552 (ho_5758 (ho_5757 k_5756 BOUND_VARIABLE_353596) BOUND_VARIABLE_323395) BOUND_VARIABLE_323396) BOUND_VARIABLE_323397) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323397) (ho_5693 BOUND_VARIABLE_353596 BOUND_VARIABLE_323395)) BOUND_VARIABLE_323396))))) (let ((_let_11603 (forall ((BOUND_VARIABLE_353616 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323365 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323366 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_323366) (ho_4495 k_4494 (ho_4968 k_5019 BOUND_VARIABLE_353616))) BOUND_VARIABLE_323365) (ho_4615 (ho_4647 (ho_5760 k_5759 BOUND_VARIABLE_353616) BOUND_VARIABLE_323365) BOUND_VARIABLE_323366))))) (let ((_let_11604 (forall ((BOUND_VARIABLE_353636 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323332 tptp.set_Product_unit) (BOUND_VARIABLE_323333 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323334 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_323334) (ho_4495 k_4494 (ho_4974 (ho_4973 k_5020 BOUND_VARIABLE_353636) BOUND_VARIABLE_323332))) BOUND_VARIABLE_323333) (ho_4615 (ho_4647 (ho_5763 (ho_5762 k_5761 BOUND_VARIABLE_353636) BOUND_VARIABLE_323332) BOUND_VARIABLE_323333) BOUND_VARIABLE_323334))))) (let ((_let_11605 (forall ((BOUND_VARIABLE_353662 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_323294 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323295 tptp.product_unit)) (= (ho_4495 k_4494 (ho_5018 (ho_5023 (ho_5022 k_5021 BOUND_VARIABLE_353662) BOUND_VARIABLE_323295) BOUND_VARIABLE_323294)) (ho_4623 (ho_5766 (ho_5765 k_5764 BOUND_VARIABLE_353662) BOUND_VARIABLE_323294) BOUND_VARIABLE_323295))))) (let ((_let_11606 (forall ((BOUND_VARIABLE_353688 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323282 tptp.nat) (BOUND_VARIABLE_323283 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323284 Bool)) (= (ho_5499 (ho_5552 (ho_5769 (ho_5768 k_5767 BOUND_VARIABLE_353688) BOUND_VARIABLE_323282) BOUND_VARIABLE_323283) BOUND_VARIABLE_323284) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323284) (ho_5708 BOUND_VARIABLE_353688 BOUND_VARIABLE_323282)) BOUND_VARIABLE_323283))))) (let ((_let_11607 (forall ((BOUND_VARIABLE_353712 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323270 Bool) (BOUND_VARIABLE_323271 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323272 Bool)) (= (ho_5499 (ho_5552 (ho_5772 (ho_5771 k_5770 BOUND_VARIABLE_353712) BOUND_VARIABLE_323270) BOUND_VARIABLE_323271) BOUND_VARIABLE_323272) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323272) (ho_5499 BOUND_VARIABLE_353712 BOUND_VARIABLE_323270)) BOUND_VARIABLE_323271))))) (let ((_let_11608 (forall ((BOUND_VARIABLE_353736 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_323258 tptp.product_unit) (BOUND_VARIABLE_323259 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323260 Bool)) (= (ho_5499 (ho_5552 (ho_5775 (ho_5774 k_5773 BOUND_VARIABLE_353736) BOUND_VARIABLE_323258) BOUND_VARIABLE_323259) BOUND_VARIABLE_323260) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_323260) (ho_5717 BOUND_VARIABLE_353736 BOUND_VARIABLE_323258)) BOUND_VARIABLE_323259))))) (let ((_let_11609 (forall ((BOUND_VARIABLE_353756 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_323228 tptp.set_nat) (BOUND_VARIABLE_323229 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323229) (ho_4845 k_4844 (ho_4983 k_5024 BOUND_VARIABLE_353756))) BOUND_VARIABLE_323228) (ho_4556 (ho_4654 (ho_5777 k_5776 BOUND_VARIABLE_353756) BOUND_VARIABLE_323228) BOUND_VARIABLE_323229))))) (let ((_let_11610 (forall ((BOUND_VARIABLE_353776 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_323195 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_323196 tptp.set_nat) (BOUND_VARIABLE_323197 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323197) (ho_4845 k_4844 (ho_4986 (ho_4985 k_5025 BOUND_VARIABLE_353776) BOUND_VARIABLE_323195))) BOUND_VARIABLE_323196) (ho_4556 (ho_4654 (ho_5780 (ho_5779 k_5778 BOUND_VARIABLE_353776) BOUND_VARIABLE_323195) BOUND_VARIABLE_323196) BOUND_VARIABLE_323197))))) (let ((_let_11611 (forall ((BOUND_VARIABLE_353802 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_323157 tptp.set_nat) (BOUND_VARIABLE_323158 tptp.product_prod_nat_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5028 (ho_5027 k_5026 BOUND_VARIABLE_353802) BOUND_VARIABLE_323158) BOUND_VARIABLE_323157)) (ho_4628 (ho_5663 (ho_5662 k_5781 BOUND_VARIABLE_353802) BOUND_VARIABLE_323157) BOUND_VARIABLE_323158))))) (let ((_let_11612 (forall ((BOUND_VARIABLE_353817 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_323127 tptp.set_nat) (BOUND_VARIABLE_323128 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323128) (ho_4845 k_4844 (ho_4992 k_5029 BOUND_VARIABLE_353817))) BOUND_VARIABLE_323127) (ho_4556 (ho_4654 (ho_5734 k_5782 BOUND_VARIABLE_353817) BOUND_VARIABLE_323127) BOUND_VARIABLE_323128))))) (let ((_let_11613 (forall ((BOUND_VARIABLE_353833 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_323094 tptp.set_nat) (BOUND_VARIABLE_323095 tptp.set_nat) (BOUND_VARIABLE_323096 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323096) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5030 BOUND_VARIABLE_353833) BOUND_VARIABLE_323094))) BOUND_VARIABLE_323095) (ho_4556 (ho_4654 (ho_4665 (ho_5784 k_5783 BOUND_VARIABLE_353833) BOUND_VARIABLE_323094) BOUND_VARIABLE_323095) BOUND_VARIABLE_323096))))) (let ((_let_11614 (forall ((BOUND_VARIABLE_353856 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_323057 tptp.set_nat) (BOUND_VARIABLE_323058 tptp.nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5033 (ho_5032 k_5031 BOUND_VARIABLE_353856) BOUND_VARIABLE_323058) BOUND_VARIABLE_323057)) (ho_4551 (ho_5658 (ho_5657 k_5785 BOUND_VARIABLE_353856) BOUND_VARIABLE_323057) BOUND_VARIABLE_323058))))) (let ((_let_11615 (forall ((BOUND_VARIABLE_353871 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_323027 tptp.set_nat) (BOUND_VARIABLE_323028 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_323028) (ho_4845 k_4844 (ho_4997 k_5034 BOUND_VARIABLE_353871))) BOUND_VARIABLE_323027) (ho_4556 (ho_4654 (ho_5660 k_5786 BOUND_VARIABLE_353871) BOUND_VARIABLE_323027) BOUND_VARIABLE_323028))))) (let ((_let_11616 (forall ((BOUND_VARIABLE_353887 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322994 tptp.set_o) (BOUND_VARIABLE_322995 tptp.set_nat) (BOUND_VARIABLE_322996 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322996) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5035 BOUND_VARIABLE_353887) BOUND_VARIABLE_322994))) BOUND_VARIABLE_322995) (ho_4556 (ho_4654 (ho_5789 (ho_5788 k_5787 BOUND_VARIABLE_353887) BOUND_VARIABLE_322994) BOUND_VARIABLE_322995) BOUND_VARIABLE_322996))))) (let ((_let_11617 (forall ((BOUND_VARIABLE_353913 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322957 tptp.set_nat) (BOUND_VARIABLE_322958 Bool)) (= (ho_4845 k_4844 (ho_4762 (ho_5038 (ho_5037 k_5036 BOUND_VARIABLE_353913) BOUND_VARIABLE_322958) BOUND_VARIABLE_322957)) (ho_4556 (ho_4654 (ho_5660 k_5790 BOUND_VARIABLE_353913) BOUND_VARIABLE_322957) BOUND_VARIABLE_322958))))) (let ((_let_11618 (forall ((BOUND_VARIABLE_353928 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322927 tptp.set_nat) (BOUND_VARIABLE_322928 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322928) (ho_4845 k_4844 (ho_5006 k_5039 BOUND_VARIABLE_353928))) BOUND_VARIABLE_322927) (ho_4556 (ho_4654 (ho_5792 k_5791 BOUND_VARIABLE_353928) BOUND_VARIABLE_322927) BOUND_VARIABLE_322928))))) (let ((_let_11619 (forall ((BOUND_VARIABLE_353948 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322894 tptp.set_Product_unit) (BOUND_VARIABLE_322895 tptp.set_nat) (BOUND_VARIABLE_322896 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322896) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5040 BOUND_VARIABLE_353948) BOUND_VARIABLE_322894))) BOUND_VARIABLE_322895) (ho_4556 (ho_4654 (ho_5586 (ho_5794 k_5793 BOUND_VARIABLE_353948) BOUND_VARIABLE_322894) BOUND_VARIABLE_322895) BOUND_VARIABLE_322896))))) (let ((_let_11620 (forall ((BOUND_VARIABLE_353971 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322857 tptp.set_nat) (BOUND_VARIABLE_322858 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4762 (ho_5043 (ho_5042 k_5041 BOUND_VARIABLE_353971) BOUND_VARIABLE_322858) BOUND_VARIABLE_322857)) (ho_4639 (ho_5669 (ho_5668 k_5795 BOUND_VARIABLE_353971) BOUND_VARIABLE_322857) BOUND_VARIABLE_322858))))) (let ((_let_11621 (forall ((BOUND_VARIABLE_322846 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_353989 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_322848 tptp.nat)) (= (ho_4524 (ho_5636 (ho_5635 k_5796 BOUND_VARIABLE_322846) BOUND_VARIABLE_353989) BOUND_VARIABLE_322848) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_322846) (ho_4524 BOUND_VARIABLE_353989 BOUND_VARIABLE_322848)))))) (let ((_let_11622 (forall ((BOUND_VARIABLE_322836 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_354003 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_322838 Bool)) (= (ho_5639 (ho_5642 (ho_5641 k_5797 BOUND_VARIABLE_322836) BOUND_VARIABLE_354003) BOUND_VARIABLE_322838) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_322836) (ho_5639 BOUND_VARIABLE_354003 BOUND_VARIABLE_322838)))))) (let ((_let_11623 (forall ((BOUND_VARIABLE_322826 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_354017 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_322828 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_5653 k_5798 BOUND_VARIABLE_322826) BOUND_VARIABLE_354017) BOUND_VARIABLE_322828) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_322826) (ho_5651 BOUND_VARIABLE_354017 BOUND_VARIABLE_322828)))))) (let ((_let_11624 (forall ((BOUND_VARIABLE_322816 tptp.set_nat) (BOUND_VARIABLE_354031 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_322818 tptp.nat)) (= (ho_4551 (ho_5621 (ho_5620 k_5799 BOUND_VARIABLE_322816) BOUND_VARIABLE_354031) BOUND_VARIABLE_322818) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_322816) (ho_4551 BOUND_VARIABLE_354031 BOUND_VARIABLE_322818)))))) (let ((_let_11625 (forall ((BOUND_VARIABLE_322806 tptp.set_nat) (BOUND_VARIABLE_354045 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322808 Bool)) (= (ho_4556 (ho_5624 (ho_5623 k_5800 BOUND_VARIABLE_322806) BOUND_VARIABLE_354045) BOUND_VARIABLE_322808) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_322806) (ho_4556 BOUND_VARIABLE_354045 BOUND_VARIABLE_322808)))))) (let ((_let_11626 (forall ((BOUND_VARIABLE_322796 tptp.set_nat) (BOUND_VARIABLE_354059 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322798 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_5801 BOUND_VARIABLE_322796) BOUND_VARIABLE_354059) BOUND_VARIABLE_322798) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_322796) (ho_4639 BOUND_VARIABLE_354059 BOUND_VARIABLE_322798)))))) (let ((_let_11627 (forall ((BOUND_VARIABLE_354073 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_322787 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322788 tptp.nat)) (= (ho_4524 (ho_5672 (ho_5671 k_5802 BOUND_VARIABLE_354073) BOUND_VARIABLE_322787) BOUND_VARIABLE_322788) (ho_4521 (ho_5638 k_5637 (ho_4524 BOUND_VARIABLE_354073 BOUND_VARIABLE_322788)) BOUND_VARIABLE_322787))))) (let ((_let_11628 (forall ((BOUND_VARIABLE_354087 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_322777 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322778 Bool)) (= (ho_5639 (ho_5675 (ho_5674 k_5803 BOUND_VARIABLE_354087) BOUND_VARIABLE_322777) BOUND_VARIABLE_322778) (ho_4521 (ho_5638 k_5637 (ho_5639 BOUND_VARIABLE_354087 BOUND_VARIABLE_322778)) BOUND_VARIABLE_322777))))) (let ((_let_11629 (forall ((BOUND_VARIABLE_354101 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_322767 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322768 tptp.product_unit)) (= (ho_5651 (ho_5684 (ho_5683 k_5804 BOUND_VARIABLE_354101) BOUND_VARIABLE_322767) BOUND_VARIABLE_322768) (ho_4521 (ho_5638 k_5637 (ho_5651 BOUND_VARIABLE_354101 BOUND_VARIABLE_322768)) BOUND_VARIABLE_322767))))) (let ((_let_11630 (forall ((BOUND_VARIABLE_354115 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_322757 tptp.set_nat) (BOUND_VARIABLE_322758 tptp.nat)) (= (ho_4551 (ho_5658 (ho_5657 k_5805 BOUND_VARIABLE_354115) BOUND_VARIABLE_322757) BOUND_VARIABLE_322758) (ho_4560 (ho_4559 k_4928 (ho_4551 BOUND_VARIABLE_354115 BOUND_VARIABLE_322758)) BOUND_VARIABLE_322757))))) (let ((_let_11631 (forall ((BOUND_VARIABLE_354129 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322747 tptp.set_nat) (BOUND_VARIABLE_322748 Bool)) (= (ho_4556 (ho_4654 (ho_5660 k_5806 BOUND_VARIABLE_354129) BOUND_VARIABLE_322747) BOUND_VARIABLE_322748) (ho_4560 (ho_4559 k_4928 (ho_4556 BOUND_VARIABLE_354129 BOUND_VARIABLE_322748)) BOUND_VARIABLE_322747))))) (let ((_let_11632 (forall ((BOUND_VARIABLE_354143 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322737 tptp.set_nat) (BOUND_VARIABLE_322738 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_5807 BOUND_VARIABLE_354143) BOUND_VARIABLE_322737) BOUND_VARIABLE_322738) (ho_4560 (ho_4559 k_4928 (ho_4639 BOUND_VARIABLE_354143 BOUND_VARIABLE_322738)) BOUND_VARIABLE_322737))))) (let ((_let_11633 (forall ((BOUND_VARIABLE_322703 tptp.product_prod_nat_nat) (BOUND_VARIABLE_354154 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_322705 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322706 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322706) (ho_4628 BOUND_VARIABLE_354154 BOUND_VARIABLE_322703)) (ho_4845 k_4844 (ho_4986 (ho_4985 k_5044 BOUND_VARIABLE_354154) BOUND_VARIABLE_322705))) (ho_4556 (ho_5565 (ho_5727 (ho_5809 k_5808 BOUND_VARIABLE_322703) BOUND_VARIABLE_354154) BOUND_VARIABLE_322705) BOUND_VARIABLE_322706))))) (let ((_let_11634 (forall ((BOUND_VARIABLE_322670 Bool) (BOUND_VARIABLE_354178 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322672 tptp.set_o) (BOUND_VARIABLE_322673 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322673) (ho_4556 BOUND_VARIABLE_354178 BOUND_VARIABLE_322670)) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5045 BOUND_VARIABLE_354178) BOUND_VARIABLE_322672))) (ho_4556 (ho_5740 (ho_5739 (ho_5811 k_5810 BOUND_VARIABLE_322670) BOUND_VARIABLE_354178) BOUND_VARIABLE_322672) BOUND_VARIABLE_322673))))) (let ((_let_11635 (forall ((BOUND_VARIABLE_322637 tptp.product_unit) (BOUND_VARIABLE_354202 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322639 tptp.set_Product_unit) (BOUND_VARIABLE_322640 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322640) (ho_4639 BOUND_VARIABLE_354202 BOUND_VARIABLE_322637)) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5046 BOUND_VARIABLE_354202) BOUND_VARIABLE_322639))) (ho_4556 (ho_5748 (ho_5747 (ho_5813 k_5812 BOUND_VARIABLE_322637) BOUND_VARIABLE_354202) BOUND_VARIABLE_322639) BOUND_VARIABLE_322640))))) (let ((_let_11636 (forall ((BOUND_VARIABLE_322604 tptp.nat) (BOUND_VARIABLE_354226 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_322606 tptp.set_nat) (BOUND_VARIABLE_322607 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322607) (ho_4551 BOUND_VARIABLE_354226 BOUND_VARIABLE_322604)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5047 BOUND_VARIABLE_354226) BOUND_VARIABLE_322606))) (ho_4556 (ho_4654 (ho_5734 (ho_5815 k_5814 BOUND_VARIABLE_322604) BOUND_VARIABLE_354226) BOUND_VARIABLE_322606) BOUND_VARIABLE_322607))))) (let ((_let_11637 (forall ((BOUND_VARIABLE_322571 tptp.product_unit) (BOUND_VARIABLE_354250 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_322573 tptp.set_Product_unit) (BOUND_VARIABLE_322574 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322574) (ho_4623 BOUND_VARIABLE_354250 BOUND_VARIABLE_322571)) (ho_4495 k_4494 (ho_4974 (ho_4973 k_5048 BOUND_VARIABLE_354250) BOUND_VARIABLE_322573))) (ho_4615 (ho_5704 (ho_5703 (ho_5817 k_5816 BOUND_VARIABLE_322571) BOUND_VARIABLE_354250) BOUND_VARIABLE_322573) BOUND_VARIABLE_322574))))) (let ((_let_11638 (forall ((BOUND_VARIABLE_322538 tptp.nat) (BOUND_VARIABLE_354274 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_322540 tptp.set_nat) (BOUND_VARIABLE_322541 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322541) (ho_5049 BOUND_VARIABLE_354274 BOUND_VARIABLE_322538)) (ho_4495 k_4494 (ho_5052 (ho_5051 k_5050 BOUND_VARIABLE_354274) BOUND_VARIABLE_322540))) (ho_4615 (ho_5821 (ho_5820 (ho_5819 k_5818 BOUND_VARIABLE_322538) BOUND_VARIABLE_354274) BOUND_VARIABLE_322540) BOUND_VARIABLE_322541))))) (let ((_let_11639 (forall ((BOUND_VARIABLE_322505 tptp.product_prod_nat_nat) (BOUND_VARIABLE_354305 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_322507 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322508 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322508) (ho_4628 BOUND_VARIABLE_354305 BOUND_VARIABLE_322505)) (ho_4845 k_4844 (ho_4986 (ho_4985 k_5056 BOUND_VARIABLE_354305) BOUND_VARIABLE_322507))) (ho_4556 (ho_5565 (ho_5727 (ho_5809 k_5822 BOUND_VARIABLE_322505) BOUND_VARIABLE_354305) BOUND_VARIABLE_322507) BOUND_VARIABLE_322508))))) (let ((_let_11640 (forall ((BOUND_VARIABLE_322472 Bool) (BOUND_VARIABLE_354325 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322474 tptp.set_o) (BOUND_VARIABLE_322475 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322475) (ho_4556 BOUND_VARIABLE_354325 BOUND_VARIABLE_322472)) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5057 BOUND_VARIABLE_354325) BOUND_VARIABLE_322474))) (ho_4556 (ho_5740 (ho_5739 (ho_5811 k_5823 BOUND_VARIABLE_322472) BOUND_VARIABLE_354325) BOUND_VARIABLE_322474) BOUND_VARIABLE_322475))))) (let ((_let_11641 (forall ((BOUND_VARIABLE_322439 tptp.product_unit) (BOUND_VARIABLE_354345 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322441 tptp.set_Product_unit) (BOUND_VARIABLE_322442 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322442) (ho_4639 BOUND_VARIABLE_354345 BOUND_VARIABLE_322439)) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5058 BOUND_VARIABLE_354345) BOUND_VARIABLE_322441))) (ho_4556 (ho_5748 (ho_5747 (ho_5813 k_5824 BOUND_VARIABLE_322439) BOUND_VARIABLE_354345) BOUND_VARIABLE_322441) BOUND_VARIABLE_322442))))) (let ((_let_11642 (forall ((BOUND_VARIABLE_322406 tptp.nat) (BOUND_VARIABLE_354365 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_322408 tptp.set_nat) (BOUND_VARIABLE_322409 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322409) (ho_4551 BOUND_VARIABLE_354365 BOUND_VARIABLE_322406)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5059 BOUND_VARIABLE_354365) BOUND_VARIABLE_322408))) (ho_4556 (ho_4654 (ho_5734 (ho_5815 k_5825 BOUND_VARIABLE_322406) BOUND_VARIABLE_354365) BOUND_VARIABLE_322408) BOUND_VARIABLE_322409))))) (let ((_let_11643 (forall ((BOUND_VARIABLE_322377 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_354385 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_322379 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322379) BOUND_VARIABLE_322377) (ho_4495 k_4494 (ho_4956 k_5060 BOUND_VARIABLE_354385))) (ho_4615 (ho_5687 (ho_5686 k_5826 BOUND_VARIABLE_322377) BOUND_VARIABLE_354385) BOUND_VARIABLE_322379))))) (let ((_let_11644 (forall ((BOUND_VARIABLE_322348 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_354401 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_322350 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322350) BOUND_VARIABLE_322348) (ho_4495 k_4494 (ho_4968 k_5061 BOUND_VARIABLE_354401))) (ho_4615 (ho_5700 (ho_5699 k_5827 BOUND_VARIABLE_322348) BOUND_VARIABLE_354401) BOUND_VARIABLE_322350))))) (let ((_let_11645 (forall ((BOUND_VARIABLE_322319 tptp.set_nat) (BOUND_VARIABLE_354417 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_322321 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322321) BOUND_VARIABLE_322319) (ho_4845 k_4844 (ho_4983 k_5062 BOUND_VARIABLE_354417))) (ho_4556 (ho_5724 (ho_5723 k_5828 BOUND_VARIABLE_322319) BOUND_VARIABLE_354417) BOUND_VARIABLE_322321))))) (let ((_let_11646 (forall ((BOUND_VARIABLE_322290 tptp.set_nat) (BOUND_VARIABLE_354433 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_322292 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322292) BOUND_VARIABLE_322290) (ho_4845 k_4844 (ho_4992 k_5063 BOUND_VARIABLE_354433))) (ho_4556 (ho_5731 (ho_5730 k_5829 BOUND_VARIABLE_322290) BOUND_VARIABLE_354433) BOUND_VARIABLE_322292))))) (let ((_let_11647 (forall ((BOUND_VARIABLE_322261 tptp.set_nat) (BOUND_VARIABLE_354449 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_322263 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322263) BOUND_VARIABLE_322261) (ho_4845 k_4844 (ho_4997 k_5064 BOUND_VARIABLE_354449))) (ho_4556 (ho_5624 (ho_5623 k_5830 BOUND_VARIABLE_322261) BOUND_VARIABLE_354449) BOUND_VARIABLE_322263))))) (let ((_let_11648 (forall ((BOUND_VARIABLE_322232 tptp.set_nat) (BOUND_VARIABLE_354465 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_322234 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322234) BOUND_VARIABLE_322232) (ho_4845 k_4844 (ho_5006 k_5065 BOUND_VARIABLE_354465))) (ho_4556 (ho_5744 (ho_5743 k_5831 BOUND_VARIABLE_322232) BOUND_VARIABLE_354465) BOUND_VARIABLE_322234))))) (let ((_let_11649 (forall ((BOUND_VARIABLE_322224 tptp.set_nat) (BOUND_VARIABLE_322225 tptp.set_nat)) (= (ho_4560 (ho_4559 k_5832 BOUND_VARIABLE_322224) BOUND_VARIABLE_322225) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_322225) BOUND_VARIABLE_322224))))) (let ((_let_11650 (forall ((BOUND_VARIABLE_322216 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322217 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4521 (ho_5638 k_5833 BOUND_VARIABLE_322216) BOUND_VARIABLE_322217) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_322217) BOUND_VARIABLE_322216))))) (let ((_let_11651 (forall ((BOUND_VARIABLE_322191 tptp.set_nat) (BOUND_VARIABLE_322192 tptp.set_set_nat) (BOUND_VARIABLE_322193 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_322193) BOUND_VARIABLE_322191) (ho_4845 k_4844 (ho_5067 k_5066 BOUND_VARIABLE_322192))) (ho_4556 (ho_5836 (ho_5835 k_5834 BOUND_VARIABLE_322191) BOUND_VARIABLE_322192) BOUND_VARIABLE_322193))))) (let ((_let_11652 (forall ((BOUND_VARIABLE_322159 tptp.set_nat) (BOUND_VARIABLE_322160 tptp.set_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5070 k_5069 BOUND_VARIABLE_322159) BOUND_VARIABLE_322160)) (ho_4560 (ho_4559 k_5837 BOUND_VARIABLE_322159) BOUND_VARIABLE_322160))))) (let ((_let_11653 (forall ((BOUND_VARIABLE_322134 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_322135 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_322136 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322136) BOUND_VARIABLE_322134) (ho_4495 k_4494 (ho_5072 k_5071 BOUND_VARIABLE_322135))) (ho_4615 (ho_5840 (ho_5839 k_5838 BOUND_VARIABLE_322134) BOUND_VARIABLE_322135) BOUND_VARIABLE_322136))))) (let ((_let_11654 (forall ((BOUND_VARIABLE_322102 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_322103 tptp.set_Pr4329608150637261639at_nat)) (= (ho_4495 k_4494 (ho_5018 (ho_5074 k_5073 BOUND_VARIABLE_322102) BOUND_VARIABLE_322103)) (ho_4501 (ho_4622 k_5841 BOUND_VARIABLE_322102) BOUND_VARIABLE_322103))))) (let ((_let_11655 (forall ((BOUND_VARIABLE_322092 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_322093 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_322094 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5842 BOUND_VARIABLE_322092) BOUND_VARIABLE_322093) BOUND_VARIABLE_322094) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_322094) BOUND_VARIABLE_322092) BOUND_VARIABLE_322093))))) (let ((_let_11656 (forall ((BOUND_VARIABLE_322084 tptp.set_nat) (BOUND_VARIABLE_322085 tptp.set_nat)) (= (ho_4560 (ho_4559 k_5843 BOUND_VARIABLE_322084) BOUND_VARIABLE_322085) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_322085) BOUND_VARIABLE_322084))))) (let ((_let_11657 (forall ((BOUND_VARIABLE_322076 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322077 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4521 (ho_5638 k_5844 BOUND_VARIABLE_322076) BOUND_VARIABLE_322077) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_322077) BOUND_VARIABLE_322076))))) (let ((_let_11658 (forall ((BOUND_VARIABLE_322043 tptp.nat) (BOUND_VARIABLE_354589 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_322045 tptp.set_nat) (BOUND_VARIABLE_322046 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322046) (ho_5049 BOUND_VARIABLE_354589 BOUND_VARIABLE_322043)) (ho_4495 k_4494 (ho_5052 (ho_5051 k_5075 BOUND_VARIABLE_354589) BOUND_VARIABLE_322045))) (ho_4615 (ho_5821 (ho_5820 (ho_5819 k_5845 BOUND_VARIABLE_322043) BOUND_VARIABLE_354589) BOUND_VARIABLE_322045) BOUND_VARIABLE_322046))))) (let ((_let_11659 (forall ((BOUND_VARIABLE_322010 Bool) (BOUND_VARIABLE_354609 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_322012 tptp.set_o) (BOUND_VARIABLE_322013 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_322013) (ho_4615 BOUND_VARIABLE_354609 BOUND_VARIABLE_322010)) (ho_4495 k_4494 (ho_4962 (ho_4961 k_5076 BOUND_VARIABLE_354609) BOUND_VARIABLE_322012))) (ho_4615 (ho_5691 (ho_5690 (ho_5847 k_5846 BOUND_VARIABLE_322010) BOUND_VARIABLE_354609) BOUND_VARIABLE_322012) BOUND_VARIABLE_322013))))) (let ((_let_11660 (forall ((BOUND_VARIABLE_321977 tptp.product_prod_nat_nat) (BOUND_VARIABLE_354633 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_321979 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_321980 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321980) (ho_4628 BOUND_VARIABLE_354633 BOUND_VARIABLE_321977)) (ho_4845 k_4844 (ho_4986 (ho_4985 k_5077 BOUND_VARIABLE_354633) BOUND_VARIABLE_321979))) (ho_4556 (ho_5565 (ho_5727 (ho_5809 k_5848 BOUND_VARIABLE_321977) BOUND_VARIABLE_354633) BOUND_VARIABLE_321979) BOUND_VARIABLE_321980))))) (let ((_let_11661 (forall ((BOUND_VARIABLE_321944 tptp.int) (BOUND_VARIABLE_354653 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_321946 tptp.set_int) (BOUND_VARIABLE_321947 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321947) (ho_4946 BOUND_VARIABLE_354653 BOUND_VARIABLE_321944)) (ho_4845 k_4844 (ho_5080 (ho_5079 k_5078 BOUND_VARIABLE_354653) BOUND_VARIABLE_321946))) (ho_4556 (ho_5852 (ho_5851 (ho_5850 k_5849 BOUND_VARIABLE_321944) BOUND_VARIABLE_354653) BOUND_VARIABLE_321946) BOUND_VARIABLE_321947))))) (let ((_let_11662 (forall ((BOUND_VARIABLE_321911 tptp.nat) (BOUND_VARIABLE_354684 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_321913 tptp.set_nat) (BOUND_VARIABLE_321914 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321914) (ho_4551 BOUND_VARIABLE_354684 BOUND_VARIABLE_321911)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5081 BOUND_VARIABLE_354684) BOUND_VARIABLE_321913))) (ho_4556 (ho_4654 (ho_5734 (ho_5815 k_5853 BOUND_VARIABLE_321911) BOUND_VARIABLE_354684) BOUND_VARIABLE_321913) BOUND_VARIABLE_321914))))) (let ((_let_11663 (forall ((BOUND_VARIABLE_321878 Bool) (BOUND_VARIABLE_354704 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_321880 tptp.set_o) (BOUND_VARIABLE_321881 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321881) (ho_4556 BOUND_VARIABLE_354704 BOUND_VARIABLE_321878)) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5082 BOUND_VARIABLE_354704) BOUND_VARIABLE_321880))) (ho_4556 (ho_5740 (ho_5739 (ho_5811 k_5854 BOUND_VARIABLE_321878) BOUND_VARIABLE_354704) BOUND_VARIABLE_321880) BOUND_VARIABLE_321881))))) (let ((_let_11664 (forall ((BOUND_VARIABLE_321852 tptp.set_set_nat) (BOUND_VARIABLE_321853 tptp.set_nat) (BOUND_VARIABLE_321854 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321854) (ho_4845 k_4844 (ho_5067 k_5083 BOUND_VARIABLE_321852))) BOUND_VARIABLE_321853) (ho_4556 (ho_4654 (ho_5856 k_5855 BOUND_VARIABLE_321852) BOUND_VARIABLE_321853) BOUND_VARIABLE_321854))))) (let ((_let_11665 (forall ((BOUND_VARIABLE_321820 tptp.set_nat) (BOUND_VARIABLE_321821 tptp.set_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5070 k_5084 BOUND_VARIABLE_321821) BOUND_VARIABLE_321820)) (ho_4560 (ho_4559 k_5857 BOUND_VARIABLE_321820) BOUND_VARIABLE_321821))))) (let ((_let_11666 (forall ((BOUND_VARIABLE_321794 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_321795 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321796 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321796) (ho_4495 k_4494 (ho_5072 k_5085 BOUND_VARIABLE_321794))) BOUND_VARIABLE_321795) (ho_4615 (ho_4647 (ho_5859 k_5858 BOUND_VARIABLE_321794) BOUND_VARIABLE_321795) BOUND_VARIABLE_321796))))) (let ((_let_11667 (forall ((BOUND_VARIABLE_321762 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321763 tptp.set_Pr4329608150637261639at_nat)) (= (ho_4495 k_4494 (ho_5018 (ho_5074 k_5086 BOUND_VARIABLE_321763) BOUND_VARIABLE_321762)) (ho_4501 (ho_4622 k_5860 BOUND_VARIABLE_321762) BOUND_VARIABLE_321763))))) (let ((_let_11668 (forall ((BOUND_VARIABLE_321752 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321753 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321754 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5861 BOUND_VARIABLE_321752) BOUND_VARIABLE_321753) BOUND_VARIABLE_321754) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_321754) BOUND_VARIABLE_321752) BOUND_VARIABLE_321753))))) (let ((_let_11669 (forall ((BOUND_VARIABLE_321744 tptp.set_nat) (BOUND_VARIABLE_321745 tptp.set_nat)) (= (ho_4560 (ho_4559 k_5862 BOUND_VARIABLE_321744) BOUND_VARIABLE_321745) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_321745) BOUND_VARIABLE_321744))))) (let ((_let_11670 (forall ((BOUND_VARIABLE_321736 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_321737 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4521 (ho_5638 k_5863 BOUND_VARIABLE_321736) BOUND_VARIABLE_321737) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_321737) BOUND_VARIABLE_321736))))) (let ((_let_11671 (forall ((BOUND_VARIABLE_321703 tptp.product_prod_nat_nat) (BOUND_VARIABLE_354808 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_321705 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_321706 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321706) (ho_4628 BOUND_VARIABLE_354808 BOUND_VARIABLE_321703)) (ho_4845 k_4844 (ho_4986 (ho_4985 k_5087 BOUND_VARIABLE_354808) BOUND_VARIABLE_321705))) (ho_4556 (ho_5565 (ho_5727 (ho_5809 k_5864 BOUND_VARIABLE_321703) BOUND_VARIABLE_354808) BOUND_VARIABLE_321705) BOUND_VARIABLE_321706))))) (let ((_let_11672 (forall ((BOUND_VARIABLE_321670 tptp.int) (BOUND_VARIABLE_354828 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_321672 tptp.set_int) (BOUND_VARIABLE_321673 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321673) (ho_4946 BOUND_VARIABLE_354828 BOUND_VARIABLE_321670)) (ho_4845 k_4844 (ho_5080 (ho_5079 k_5088 BOUND_VARIABLE_354828) BOUND_VARIABLE_321672))) (ho_4556 (ho_5852 (ho_5851 (ho_5850 k_5865 BOUND_VARIABLE_321670) BOUND_VARIABLE_354828) BOUND_VARIABLE_321672) BOUND_VARIABLE_321673))))) (let ((_let_11673 (forall ((BOUND_VARIABLE_321637 tptp.nat) (BOUND_VARIABLE_354848 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_321639 tptp.set_nat) (BOUND_VARIABLE_321640 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321640) (ho_4551 BOUND_VARIABLE_354848 BOUND_VARIABLE_321637)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5089 BOUND_VARIABLE_354848) BOUND_VARIABLE_321639))) (ho_4556 (ho_4654 (ho_5734 (ho_5815 k_5866 BOUND_VARIABLE_321637) BOUND_VARIABLE_354848) BOUND_VARIABLE_321639) BOUND_VARIABLE_321640))))) (let ((_let_11674 (forall ((BOUND_VARIABLE_321604 Bool) (BOUND_VARIABLE_354868 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_321606 tptp.set_o) (BOUND_VARIABLE_321607 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321607) (ho_4556 BOUND_VARIABLE_354868 BOUND_VARIABLE_321604)) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5090 BOUND_VARIABLE_354868) BOUND_VARIABLE_321606))) (ho_4556 (ho_5740 (ho_5739 (ho_5811 k_5867 BOUND_VARIABLE_321604) BOUND_VARIABLE_354868) BOUND_VARIABLE_321606) BOUND_VARIABLE_321607))))) (let ((_let_11675 (forall ((BOUND_VARIABLE_321571 tptp.product_prod_nat_nat) (BOUND_VARIABLE_321572 tptp.nat) (BOUND_VARIABLE_321573 tptp.nat)) (let ((_let_1 (ho_5457 k_5484 (ho_5369 k_5368 BOUND_VARIABLE_321571)))) (let ((_let_2 (ho_5457 k_5484 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_321571)))) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_321572)) (ho_4855 _let_1 BOUND_VARIABLE_321573))) (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_321573)) (ho_4855 _let_1 BOUND_VARIABLE_321572))) (ho_4518 (ho_4517 (ho_5479 k_5868 BOUND_VARIABLE_321571) BOUND_VARIABLE_321572) BOUND_VARIABLE_321573))))))) (let ((_let_11676 (forall ((BOUND_VARIABLE_321546 tptp.set_nat) (BOUND_VARIABLE_321547 tptp.set_set_nat) (BOUND_VARIABLE_321548 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321548) BOUND_VARIABLE_321546) (ho_4845 k_4844 (ho_5067 k_5091 BOUND_VARIABLE_321547))) (ho_4556 (ho_5836 (ho_5835 k_5869 BOUND_VARIABLE_321546) BOUND_VARIABLE_321547) BOUND_VARIABLE_321548))))) (let ((_let_11677 (forall ((BOUND_VARIABLE_321514 tptp.set_nat) (BOUND_VARIABLE_321515 tptp.set_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5070 k_5092 BOUND_VARIABLE_321514) BOUND_VARIABLE_321515)) (ho_4560 (ho_4559 k_5870 BOUND_VARIABLE_321514) BOUND_VARIABLE_321515))))) (let ((_let_11678 (forall ((BOUND_VARIABLE_321489 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321490 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_321491 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321491) BOUND_VARIABLE_321489) (ho_4495 k_4494 (ho_5072 k_5093 BOUND_VARIABLE_321490))) (ho_4615 (ho_5840 (ho_5839 k_5871 BOUND_VARIABLE_321489) BOUND_VARIABLE_321490) BOUND_VARIABLE_321491))))) (let ((_let_11679 (forall ((BOUND_VARIABLE_321457 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321458 tptp.set_Pr4329608150637261639at_nat)) (= (ho_4495 k_4494 (ho_5018 (ho_5074 k_5094 BOUND_VARIABLE_321457) BOUND_VARIABLE_321458)) (ho_4501 (ho_4622 k_5872 BOUND_VARIABLE_321457) BOUND_VARIABLE_321458))))) (let ((_let_11680 (forall ((BOUND_VARIABLE_321447 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321448 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321449 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5873 BOUND_VARIABLE_321447) BOUND_VARIABLE_321448) BOUND_VARIABLE_321449) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_321449) BOUND_VARIABLE_321447) BOUND_VARIABLE_321448))))) (let ((_let_11681 (forall ((BOUND_VARIABLE_321414 tptp.product_unit) (BOUND_VARIABLE_354971 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_321416 tptp.set_Product_unit) (BOUND_VARIABLE_321417 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321417) (ho_4639 BOUND_VARIABLE_354971 BOUND_VARIABLE_321414)) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5095 BOUND_VARIABLE_354971) BOUND_VARIABLE_321416))) (ho_4556 (ho_5748 (ho_5747 (ho_5813 k_5874 BOUND_VARIABLE_321414) BOUND_VARIABLE_354971) BOUND_VARIABLE_321416) BOUND_VARIABLE_321417))))) (let ((_let_11682 (forall ((BOUND_VARIABLE_354995 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_354994 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_321405 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5876 k_5875 BOUND_VARIABLE_354995) BOUND_VARIABLE_354994) BOUND_VARIABLE_321405) (ho_4560 (ho_4559 k_4928 (ho_4639 BOUND_VARIABLE_354995 BOUND_VARIABLE_321405)) (ho_4639 BOUND_VARIABLE_354994 BOUND_VARIABLE_321405)))))) (let ((_let_11683 (forall ((BOUND_VARIABLE_355015 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_355011 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_321354 tptp.set_Product_unit) (BOUND_VARIABLE_321355 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321355) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5096 BOUND_VARIABLE_355015) BOUND_VARIABLE_321354))) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5097 BOUND_VARIABLE_355011) BOUND_VARIABLE_321354))) (ho_4556 (ho_5748 (ho_5747 (ho_5878 k_5877 BOUND_VARIABLE_355015) BOUND_VARIABLE_355011) BOUND_VARIABLE_321354) BOUND_VARIABLE_321355))))) (let ((_let_11684 (forall ((BOUND_VARIABLE_355039 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_355038 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_321314 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4940 (ho_5012 (ho_5099 k_5098 BOUND_VARIABLE_355039) BOUND_VARIABLE_355038) BOUND_VARIABLE_321314)) (ho_4639 (ho_5633 (ho_5876 k_5879 BOUND_VARIABLE_355039) BOUND_VARIABLE_355038) BOUND_VARIABLE_321314))))) (let ((_let_11685 (forall ((BOUND_VARIABLE_355056 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_321302 Bool)) (= (ho_4556 (ho_5624 k_5880 BOUND_VARIABLE_355056) BOUND_VARIABLE_321302) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321302) (ho_4556 BOUND_VARIABLE_355056 true)) (ho_4556 BOUND_VARIABLE_355056 false)))))) (let ((_let_11686 (forall ((BOUND_VARIABLE_355070 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_321291 Bool)) (= (ho_4615 (ho_5687 k_5881 BOUND_VARIABLE_355070) BOUND_VARIABLE_321291) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321291) (ho_4615 BOUND_VARIABLE_355070 true)) (ho_4615 BOUND_VARIABLE_355070 false)))))) (let ((_let_11687 (forall ((BOUND_VARIABLE_355084 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_321280 Bool)) (= (ho_4556 (ho_5624 k_5882 BOUND_VARIABLE_355084) BOUND_VARIABLE_321280) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321280) (ho_4556 BOUND_VARIABLE_355084 true)) (ho_4556 BOUND_VARIABLE_355084 false)))))) (let ((_let_11688 (forall ((BOUND_VARIABLE_355098 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_321269 Bool)) (= (ho_4615 (ho_5687 k_5883 BOUND_VARIABLE_355098) BOUND_VARIABLE_321269) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321269) (ho_4615 BOUND_VARIABLE_355098 true)) (ho_4615 BOUND_VARIABLE_355098 false)))))) (let ((_let_11689 (forall ((BOUND_VARIABLE_321237 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321238 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321239 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_321239)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5100 BOUND_VARIABLE_321237) BOUND_VARIABLE_321238)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5884 BOUND_VARIABLE_321237) BOUND_VARIABLE_321238) BOUND_VARIABLE_321239))))) (let ((_let_11690 (forall ((BOUND_VARIABLE_321227 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321228 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321229 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5885 BOUND_VARIABLE_321227) BOUND_VARIABLE_321228) BOUND_VARIABLE_321229) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_321229) BOUND_VARIABLE_321227) BOUND_VARIABLE_321228))))) (let ((_let_11691 (forall ((BOUND_VARIABLE_321196 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321197 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321198 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_321198)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5101 BOUND_VARIABLE_321196) BOUND_VARIABLE_321197)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5886 BOUND_VARIABLE_321196) BOUND_VARIABLE_321197) BOUND_VARIABLE_321198))))) (let ((_let_11692 (forall ((BOUND_VARIABLE_321186 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321187 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321188 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5887 BOUND_VARIABLE_321186) BOUND_VARIABLE_321187) BOUND_VARIABLE_321188) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_321188) BOUND_VARIABLE_321186) BOUND_VARIABLE_321187))))) (let ((_let_11693 (forall ((BOUND_VARIABLE_321176 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321177 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321178 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5888 BOUND_VARIABLE_321176) BOUND_VARIABLE_321177) BOUND_VARIABLE_321178) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321178) BOUND_VARIABLE_321176) BOUND_VARIABLE_321177))))) (let ((_let_11694 (forall ((BOUND_VARIABLE_321162 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_355185 |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_321164 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321165 Bool)) (let ((_let_1 (ho_5894 k_5893 BOUND_VARIABLE_355185))) (= (ho_4615 (ho_4647 (ho_5892 (ho_5891 k_5890 BOUND_VARIABLE_321162) BOUND_VARIABLE_355185) BOUND_VARIABLE_321164) BOUND_VARIABLE_321165) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321165) (ho_4501 _let_1 BOUND_VARIABLE_321162)) (ho_4501 _let_1 BOUND_VARIABLE_321164))))))) (let ((_let_11695 (forall ((BOUND_VARIABLE_321152 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321153 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321154 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5895 BOUND_VARIABLE_321152) BOUND_VARIABLE_321153) BOUND_VARIABLE_321154) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321154) BOUND_VARIABLE_321152) BOUND_VARIABLE_321153))))) (let ((_let_11696 (forall ((BOUND_VARIABLE_321138 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_355232 |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_321140 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321141 Bool)) (let ((_let_1 (ho_5902 k_5901 BOUND_VARIABLE_355232))) (= (ho_4615 (ho_5900 (ho_5899 (ho_5898 k_5897 BOUND_VARIABLE_321138) BOUND_VARIABLE_355232) BOUND_VARIABLE_321140) BOUND_VARIABLE_321141) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_321141) (ho_5506 _let_1 BOUND_VARIABLE_321138)) (ho_5506 _let_1 BOUND_VARIABLE_321140))))))) (let ((_let_11697 (forall ((BOUND_VARIABLE_321124 tptp.set_int) (BOUND_VARIABLE_355269 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_321126 tptp.set_int) (BOUND_VARIABLE_321127 Bool)) (let ((_let_1 (ho_4893 k_4892 BOUND_VARIABLE_355269))) (= (ho_4556 (ho_5852 (ho_5905 (ho_5904 k_5903 BOUND_VARIABLE_321124) BOUND_VARIABLE_355269) BOUND_VARIABLE_321126) BOUND_VARIABLE_321127) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321127) (ho_4894 _let_1 BOUND_VARIABLE_321124)) (ho_4894 _let_1 BOUND_VARIABLE_321126))))))) (let ((_let_11698 (forall ((BOUND_VARIABLE_321114 tptp.set_nat) (BOUND_VARIABLE_321115 tptp.set_nat) (BOUND_VARIABLE_321116 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5906 BOUND_VARIABLE_321114) BOUND_VARIABLE_321115) BOUND_VARIABLE_321116) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321116) BOUND_VARIABLE_321114) BOUND_VARIABLE_321115))))) (let ((_let_11699 (forall ((BOUND_VARIABLE_321104 tptp.set_nat) (BOUND_VARIABLE_321105 tptp.set_nat) (BOUND_VARIABLE_321106 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5907 BOUND_VARIABLE_321104) BOUND_VARIABLE_321105) BOUND_VARIABLE_321106) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321106) BOUND_VARIABLE_321104) BOUND_VARIABLE_321105))))) (let ((_let_11700 (forall ((BOUND_VARIABLE_321090 tptp.set_nat) (BOUND_VARIABLE_355320 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_321092 tptp.set_nat) (BOUND_VARIABLE_321093 Bool)) (let ((_let_1 (ho_4857 k_5911 BOUND_VARIABLE_355320))) (= (ho_4556 (ho_4654 (ho_5910 (ho_5909 k_5908 BOUND_VARIABLE_321090) BOUND_VARIABLE_355320) BOUND_VARIABLE_321092) BOUND_VARIABLE_321093) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321093) (ho_4560 _let_1 BOUND_VARIABLE_321090)) (ho_4560 _let_1 BOUND_VARIABLE_321092))))))) (let ((_let_11701 (forall ((BOUND_VARIABLE_321080 tptp.set_nat) (BOUND_VARIABLE_321081 tptp.set_nat) (BOUND_VARIABLE_321082 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5912 BOUND_VARIABLE_321080) BOUND_VARIABLE_321081) BOUND_VARIABLE_321082) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_321082) BOUND_VARIABLE_321080) BOUND_VARIABLE_321081))))) (let ((_let_11702 (forall ((BOUND_VARIABLE_321049 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321050 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321051 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_321051)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5102 BOUND_VARIABLE_321049) BOUND_VARIABLE_321050)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5913 BOUND_VARIABLE_321049) BOUND_VARIABLE_321050) BOUND_VARIABLE_321051))))) (let ((_let_11703 (forall ((BOUND_VARIABLE_321039 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321040 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321041 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5914 BOUND_VARIABLE_321039) BOUND_VARIABLE_321040) BOUND_VARIABLE_321041) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_321041) BOUND_VARIABLE_321039) BOUND_VARIABLE_321040))))) (let ((_let_11704 (forall ((BOUND_VARIABLE_321008 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321009 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321010 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_321010)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5103 BOUND_VARIABLE_321008) BOUND_VARIABLE_321009)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5915 BOUND_VARIABLE_321008) BOUND_VARIABLE_321009) BOUND_VARIABLE_321010))))) (let ((_let_11705 (forall ((BOUND_VARIABLE_320998 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320999 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321000 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5916 BOUND_VARIABLE_320998) BOUND_VARIABLE_320999) BOUND_VARIABLE_321000) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_321000) BOUND_VARIABLE_320998) BOUND_VARIABLE_320999))))) (let ((_let_11706 (forall ((BOUND_VARIABLE_320967 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320968 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320969 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_320969)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5104 BOUND_VARIABLE_320967) BOUND_VARIABLE_320968)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5917 BOUND_VARIABLE_320967) BOUND_VARIABLE_320968) BOUND_VARIABLE_320969))))) (let ((_let_11707 (forall ((BOUND_VARIABLE_320917 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_355431 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_320919 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320920 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320920) (ho_4845 k_4844 (ho_5107 (ho_5106 k_5105 BOUND_VARIABLE_355431) BOUND_VARIABLE_320917))) (ho_4845 k_4844 (ho_5107 (ho_5106 k_5111 BOUND_VARIABLE_355431) BOUND_VARIABLE_320919))) (ho_4556 (ho_5921 (ho_5920 (ho_5919 k_5918 BOUND_VARIABLE_320917) BOUND_VARIABLE_355431) BOUND_VARIABLE_320919) BOUND_VARIABLE_320920))))) (let ((_let_11708 (forall ((BOUND_VARIABLE_320907 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320908 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320909 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5922 BOUND_VARIABLE_320907) BOUND_VARIABLE_320908) BOUND_VARIABLE_320909) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_320909) BOUND_VARIABLE_320907) BOUND_VARIABLE_320908))))) (let ((_let_11709 (forall ((BOUND_VARIABLE_320857 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_355476 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_320859 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320860 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320860) (ho_4845 k_4844 (ho_5115 (ho_5114 k_5113 BOUND_VARIABLE_355476) BOUND_VARIABLE_320857))) (ho_4845 k_4844 (ho_5115 (ho_5114 k_5119 BOUND_VARIABLE_355476) BOUND_VARIABLE_320859))) (ho_4556 (ho_5926 (ho_5925 (ho_5924 k_5923 BOUND_VARIABLE_320857) BOUND_VARIABLE_355476) BOUND_VARIABLE_320859) BOUND_VARIABLE_320860))))) (let ((_let_11710 (forall ((BOUND_VARIABLE_320826 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320827 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320828 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_320828)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5120 BOUND_VARIABLE_320826) BOUND_VARIABLE_320827)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_5927 BOUND_VARIABLE_320826) BOUND_VARIABLE_320827) BOUND_VARIABLE_320828))))) (let ((_let_11711 (forall ((BOUND_VARIABLE_320776 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_355526 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_320778 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320779 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_320779) (ho_4495 k_4494 (ho_5018 (ho_5123 k_5122 BOUND_VARIABLE_355526) BOUND_VARIABLE_320776))) (ho_4495 k_4494 (ho_5018 (ho_5123 k_5127 BOUND_VARIABLE_355526) BOUND_VARIABLE_320778))) (ho_4615 (ho_4647 (ho_5930 (ho_5929 k_5928 BOUND_VARIABLE_320776) BOUND_VARIABLE_355526) BOUND_VARIABLE_320778) BOUND_VARIABLE_320779))))) (let ((_let_11712 (forall ((BOUND_VARIABLE_320766 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320767 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320768 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5931 BOUND_VARIABLE_320766) BOUND_VARIABLE_320767) BOUND_VARIABLE_320768) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_320768) BOUND_VARIABLE_320766) BOUND_VARIABLE_320767))))) (let ((_let_11713 (forall ((BOUND_VARIABLE_320756 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320757 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320758 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_5932 BOUND_VARIABLE_320756) BOUND_VARIABLE_320757) BOUND_VARIABLE_320758) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_320758) BOUND_VARIABLE_320756) BOUND_VARIABLE_320757))))) (let ((_let_11714 (forall ((BOUND_VARIABLE_320706 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_355580 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_320708 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320709 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_320709) (ho_4495 k_4494 (ho_5131 (ho_5130 k_5129 BOUND_VARIABLE_355580) BOUND_VARIABLE_320706))) (ho_4495 k_4494 (ho_5131 (ho_5130 k_5135 BOUND_VARIABLE_355580) BOUND_VARIABLE_320708))) (ho_4615 (ho_5900 (ho_5935 (ho_5934 k_5933 BOUND_VARIABLE_320706) BOUND_VARIABLE_355580) BOUND_VARIABLE_320708) BOUND_VARIABLE_320709))))) (let ((_let_11715 (forall ((BOUND_VARIABLE_320696 tptp.set_nat) (BOUND_VARIABLE_320697 tptp.set_nat) (BOUND_VARIABLE_320698 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5936 BOUND_VARIABLE_320696) BOUND_VARIABLE_320697) BOUND_VARIABLE_320698) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320698) BOUND_VARIABLE_320696) BOUND_VARIABLE_320697))))) (let ((_let_11716 (forall ((BOUND_VARIABLE_320686 tptp.set_nat) (BOUND_VARIABLE_320687 tptp.set_nat) (BOUND_VARIABLE_320688 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5937 BOUND_VARIABLE_320686) BOUND_VARIABLE_320687) BOUND_VARIABLE_320688) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320688) BOUND_VARIABLE_320686) BOUND_VARIABLE_320687))))) (let ((_let_11717 (forall ((BOUND_VARIABLE_320636 tptp.set_Product_unit) (BOUND_VARIABLE_355634 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_320638 tptp.set_Product_unit) (BOUND_VARIABLE_320639 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320639) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5136 BOUND_VARIABLE_355634) BOUND_VARIABLE_320636))) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5137 BOUND_VARIABLE_355634) BOUND_VARIABLE_320638))) (ho_4556 (ho_5748 (ho_5747 (ho_5939 k_5938 BOUND_VARIABLE_320636) BOUND_VARIABLE_355634) BOUND_VARIABLE_320638) BOUND_VARIABLE_320639))))) (let ((_let_11718 (forall ((BOUND_VARIABLE_320626 tptp.set_nat) (BOUND_VARIABLE_320627 tptp.set_nat) (BOUND_VARIABLE_320628 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5940 BOUND_VARIABLE_320626) BOUND_VARIABLE_320627) BOUND_VARIABLE_320628) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320628) BOUND_VARIABLE_320626) BOUND_VARIABLE_320627))))) (let ((_let_11719 (forall ((BOUND_VARIABLE_320616 tptp.set_nat) (BOUND_VARIABLE_320617 tptp.set_nat) (BOUND_VARIABLE_320618 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5941 BOUND_VARIABLE_320616) BOUND_VARIABLE_320617) BOUND_VARIABLE_320618) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320618) BOUND_VARIABLE_320616) BOUND_VARIABLE_320617))))) (let ((_let_11720 (forall ((BOUND_VARIABLE_320606 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320607 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320608 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_5942 BOUND_VARIABLE_320606) BOUND_VARIABLE_320607) BOUND_VARIABLE_320608) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_320608) BOUND_VARIABLE_320606) BOUND_VARIABLE_320607))))) (let ((_let_11721 (forall ((BOUND_VARIABLE_320596 tptp.set_nat) (BOUND_VARIABLE_320597 tptp.set_nat) (BOUND_VARIABLE_320598 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5943 BOUND_VARIABLE_320596) BOUND_VARIABLE_320597) BOUND_VARIABLE_320598) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320598) BOUND_VARIABLE_320596) BOUND_VARIABLE_320597))))) (let ((_let_11722 (forall ((BOUND_VARIABLE_320586 tptp.set_nat) (BOUND_VARIABLE_320587 tptp.set_nat) (BOUND_VARIABLE_320588 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5944 BOUND_VARIABLE_320586) BOUND_VARIABLE_320587) BOUND_VARIABLE_320588) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320588) BOUND_VARIABLE_320586) BOUND_VARIABLE_320587))))) (let ((_let_11723 (forall ((BOUND_VARIABLE_320576 tptp.set_nat) (BOUND_VARIABLE_320577 tptp.set_nat) (BOUND_VARIABLE_320578 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5945 BOUND_VARIABLE_320576) BOUND_VARIABLE_320577) BOUND_VARIABLE_320578) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_320578) BOUND_VARIABLE_320576) BOUND_VARIABLE_320577))))) (let ((_let_11724 (forall ((BOUND_VARIABLE_320540 tptp.set_nat) (BOUND_VARIABLE_320541 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5138 BOUND_VARIABLE_320541) BOUND_VARIABLE_320540)) (ho_4524 (ho_5287 k_5946 BOUND_VARIABLE_320540) BOUND_VARIABLE_320541))))) (let ((_let_11725 (forall ((BOUND_VARIABLE_320504 tptp.set_nat) (BOUND_VARIABLE_320505 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5139 BOUND_VARIABLE_320505) BOUND_VARIABLE_320504)) (ho_4524 (ho_5287 k_5947 BOUND_VARIABLE_320504) BOUND_VARIABLE_320505))))) (let ((_let_11726 (forall ((BOUND_VARIABLE_320468 tptp.set_nat) (BOUND_VARIABLE_320469 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5140 BOUND_VARIABLE_320469) BOUND_VARIABLE_320468)) (ho_4524 (ho_5287 k_5948 BOUND_VARIABLE_320468) BOUND_VARIABLE_320469))))) (let ((_let_11727 (forall ((BOUND_VARIABLE_355763 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_355762 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_320423 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 (ho_5142 k_5141 BOUND_VARIABLE_355763) BOUND_VARIABLE_355762) BOUND_VARIABLE_320423)) (ho_4524 (ho_4768 (ho_5950 k_5949 BOUND_VARIABLE_355763) BOUND_VARIABLE_355762) BOUND_VARIABLE_320423))))) (let ((_let_11728 (forall ((BOUND_VARIABLE_355782 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_320384 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5143 BOUND_VARIABLE_355782) BOUND_VARIABLE_320384)) (ho_4524 (ho_4768 k_5951 BOUND_VARIABLE_355782) BOUND_VARIABLE_320384))))) (let ((_let_11729 (forall ((BOUND_VARIABLE_355794 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_320346 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5144 BOUND_VARIABLE_355794) BOUND_VARIABLE_320346)) (ho_4524 (ho_4768 k_5952 BOUND_VARIABLE_355794) BOUND_VARIABLE_320346))))) (let ((_let_11730 (forall ((BOUND_VARIABLE_320309 tptp.set_nat) (BOUND_VARIABLE_320310 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5145 BOUND_VARIABLE_320310) BOUND_VARIABLE_320309)) (ho_4524 (ho_5287 k_5953 BOUND_VARIABLE_320309) BOUND_VARIABLE_320310))))) (let ((_let_11731 (forall ((BOUND_VARIABLE_320273 tptp.set_nat) (BOUND_VARIABLE_320274 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5146 BOUND_VARIABLE_320274) BOUND_VARIABLE_320273)) (ho_4524 (ho_5287 k_5954 BOUND_VARIABLE_320273) BOUND_VARIABLE_320274))))) (let ((_let_11732 (forall ((BOUND_VARIABLE_320229 tptp.set_nat) (BOUND_VARIABLE_320230 tptp.set_nat) (BOUND_VARIABLE_320231 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_5149 (ho_5148 k_5147 BOUND_VARIABLE_320231) BOUND_VARIABLE_320229) BOUND_VARIABLE_320230)) (ho_4524 (ho_5287 (ho_5956 k_5955 BOUND_VARIABLE_320229) BOUND_VARIABLE_320230) BOUND_VARIABLE_320231))))) (let ((_let_11733 (forall ((BOUND_VARIABLE_320193 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320194 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5150 BOUND_VARIABLE_320194) BOUND_VARIABLE_320193)) (ho_4504 (ho_4685 k_5957 BOUND_VARIABLE_320193) BOUND_VARIABLE_320194))))) (let ((_let_11734 (forall ((BOUND_VARIABLE_320125 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320126 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320127 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320128 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_320128) (ho_4495 k_4494 (ho_4543 (ho_5152 k_5151 BOUND_VARIABLE_320126) BOUND_VARIABLE_320125))) (ho_4495 k_4494 (ho_4543 (ho_5152 k_5153 BOUND_VARIABLE_320126) BOUND_VARIABLE_320127))) (ho_4615 (ho_5961 (ho_5960 (ho_5959 k_5958 BOUND_VARIABLE_320125) BOUND_VARIABLE_320126) BOUND_VARIABLE_320127) BOUND_VARIABLE_320128))))) (let ((_let_11735 (forall ((BOUND_VARIABLE_320119 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_320120 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_320119 (ho_5643 (ho_5678 k_5962 BOUND_VARIABLE_320119) BOUND_VARIABLE_320120))))) (let ((_let_11736 (forall ((BOUND_VARIABLE_320113 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_320114 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_320113 (ho_5643 (ho_5678 k_5963 BOUND_VARIABLE_320113) BOUND_VARIABLE_320114))))) (let ((_let_11737 (forall ((BOUND_VARIABLE_320077 tptp.set_nat) (BOUND_VARIABLE_320078 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5154 BOUND_VARIABLE_320078) BOUND_VARIABLE_320077)) (ho_4524 (ho_5287 k_5964 BOUND_VARIABLE_320077) BOUND_VARIABLE_320078))))) (let ((_let_11738 (forall ((BOUND_VARIABLE_320041 tptp.set_nat) (BOUND_VARIABLE_320042 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5155 BOUND_VARIABLE_320042) BOUND_VARIABLE_320041)) (ho_4524 (ho_5287 k_5965 BOUND_VARIABLE_320041) BOUND_VARIABLE_320042))))) (let ((_let_11739 (forall ((BOUND_VARIABLE_320005 tptp.set_nat) (BOUND_VARIABLE_320006 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5156 BOUND_VARIABLE_320006) BOUND_VARIABLE_320005)) (ho_4524 (ho_5287 k_5966 BOUND_VARIABLE_320005) BOUND_VARIABLE_320006))))) (let ((_let_11740 (forall ((BOUND_VARIABLE_319974 tptp.set_nat) (BOUND_VARIABLE_319975 tptp.set_nat) (BOUND_VARIABLE_319976 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_319976)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5157 BOUND_VARIABLE_319974) BOUND_VARIABLE_319975)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_5967 BOUND_VARIABLE_319974) BOUND_VARIABLE_319975) BOUND_VARIABLE_319976))))) (let ((_let_11741 (forall ((BOUND_VARIABLE_355943 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_355942 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_319928 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 (ho_5162 k_5161 BOUND_VARIABLE_355943) BOUND_VARIABLE_355942) BOUND_VARIABLE_319928)) (ho_4504 (ho_4692 (ho_5969 k_5968 BOUND_VARIABLE_355943) BOUND_VARIABLE_355942) BOUND_VARIABLE_319928))))) (let ((_let_11742 (forall ((BOUND_VARIABLE_355966 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_355962 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_319849 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_319850 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_319850) (ho_4495 k_4494 (ho_4543 (ho_5164 k_5163 BOUND_VARIABLE_355966) BOUND_VARIABLE_319849))) (ho_4495 k_4494 (ho_4543 (ho_5164 k_5165 BOUND_VARIABLE_355962) BOUND_VARIABLE_319849))) (ho_4615 (ho_5961 (ho_5972 (ho_5971 k_5970 BOUND_VARIABLE_355966) BOUND_VARIABLE_355962) BOUND_VARIABLE_319849) BOUND_VARIABLE_319850))))) (let ((_let_11743 (forall ((BOUND_VARIABLE_355993 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319810 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5166 BOUND_VARIABLE_355993) BOUND_VARIABLE_319810)) (ho_4524 (ho_4768 k_5973 BOUND_VARIABLE_355993) BOUND_VARIABLE_319810))))) (let ((_let_11744 (forall ((BOUND_VARIABLE_356005 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319772 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5167 BOUND_VARIABLE_356005) BOUND_VARIABLE_319772)) (ho_4524 (ho_4768 k_5974 BOUND_VARIABLE_356005) BOUND_VARIABLE_319772))))) (let ((_let_11745 (forall ((BOUND_VARIABLE_356018 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_356017 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319712 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 (ho_5142 k_5168 BOUND_VARIABLE_356018) BOUND_VARIABLE_356017) BOUND_VARIABLE_319712)) (ho_4524 (ho_4768 (ho_5950 k_5975 BOUND_VARIABLE_356018) BOUND_VARIABLE_356017) BOUND_VARIABLE_319712))))) (let ((_let_11746 (forall ((BOUND_VARIABLE_319700 tptp.set_nat) (BOUND_VARIABLE_319701 tptp.set_nat) (BOUND_VARIABLE_319702 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5976 BOUND_VARIABLE_319700) BOUND_VARIABLE_319701) BOUND_VARIABLE_319702) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319702) BOUND_VARIABLE_319700) BOUND_VARIABLE_319701))))) (let ((_let_11747 (forall ((BOUND_VARIABLE_319690 tptp.set_nat) (BOUND_VARIABLE_319691 tptp.set_nat) (BOUND_VARIABLE_319692 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5977 BOUND_VARIABLE_319690) BOUND_VARIABLE_319691) BOUND_VARIABLE_319692) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319692) BOUND_VARIABLE_319690) BOUND_VARIABLE_319691))))) (let ((_let_11748 (forall ((BOUND_VARIABLE_319680 tptp.set_nat) (BOUND_VARIABLE_319681 tptp.set_nat) (BOUND_VARIABLE_319682 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5978 BOUND_VARIABLE_319680) BOUND_VARIABLE_319681) BOUND_VARIABLE_319682) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319682) BOUND_VARIABLE_319680) BOUND_VARIABLE_319681))))) (let ((_let_11749 (forall ((BOUND_VARIABLE_319670 tptp.set_nat) (BOUND_VARIABLE_319671 tptp.set_nat) (BOUND_VARIABLE_319672 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5979 BOUND_VARIABLE_319670) BOUND_VARIABLE_319671) BOUND_VARIABLE_319672) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319672) BOUND_VARIABLE_319670) BOUND_VARIABLE_319671))))) (let ((_let_11750 (forall ((BOUND_VARIABLE_356081 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319633 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5169 BOUND_VARIABLE_356081) BOUND_VARIABLE_319633)) (ho_4524 (ho_4768 k_5980 BOUND_VARIABLE_356081) BOUND_VARIABLE_319633))))) (let ((_let_11751 (forall ((BOUND_VARIABLE_356093 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319595 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5170 BOUND_VARIABLE_356093) BOUND_VARIABLE_319595)) (ho_4524 (ho_4768 k_5981 BOUND_VARIABLE_356093) BOUND_VARIABLE_319595))))) (let ((_let_11752 (forall ((BOUND_VARIABLE_356105 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319557 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5171 BOUND_VARIABLE_356105) BOUND_VARIABLE_319557)) (ho_4524 (ho_4768 k_5982 BOUND_VARIABLE_356105) BOUND_VARIABLE_319557))))) (let ((_let_11753 (forall ((BOUND_VARIABLE_356117 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_319519 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_5172 BOUND_VARIABLE_356117) BOUND_VARIABLE_319519)) (ho_4504 (ho_4692 k_5983 BOUND_VARIABLE_356117) BOUND_VARIABLE_319519))))) (let ((_let_11754 (forall ((BOUND_VARIABLE_319447 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_356129 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_319449 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_319450 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_319450) (ho_4495 k_4494 (ho_4543 (ho_5164 k_5173 BOUND_VARIABLE_356129) BOUND_VARIABLE_319447))) (ho_4495 k_4494 (ho_4543 (ho_5164 k_5174 BOUND_VARIABLE_356129) BOUND_VARIABLE_319449))) (ho_4615 (ho_5961 (ho_5972 (ho_5985 k_5984 BOUND_VARIABLE_319447) BOUND_VARIABLE_356129) BOUND_VARIABLE_319449) BOUND_VARIABLE_319450))))) (let ((_let_11755 (forall ((BOUND_VARIABLE_356155 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319410 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5175 BOUND_VARIABLE_356155) BOUND_VARIABLE_319410)) (ho_4524 (ho_4768 k_5986 BOUND_VARIABLE_356155) BOUND_VARIABLE_319410))))) (let ((_let_11756 (forall ((BOUND_VARIABLE_356167 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319372 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5176 BOUND_VARIABLE_356167) BOUND_VARIABLE_319372)) (ho_4524 (ho_4768 k_5987 BOUND_VARIABLE_356167) BOUND_VARIABLE_319372))))) (let ((_let_11757 (forall ((BOUND_VARIABLE_356179 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319334 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5177 BOUND_VARIABLE_356179) BOUND_VARIABLE_319334)) (ho_4524 (ho_4768 k_5988 BOUND_VARIABLE_356179) BOUND_VARIABLE_319334))))) (let ((_let_11758 (forall ((BOUND_VARIABLE_319302 tptp.set_nat) (BOUND_VARIABLE_319303 tptp.set_nat) (BOUND_VARIABLE_319304 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_319304)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5178 BOUND_VARIABLE_319302) BOUND_VARIABLE_319303)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_5989 BOUND_VARIABLE_319302) BOUND_VARIABLE_319303) BOUND_VARIABLE_319304))))) (let ((_let_11759 (forall ((BOUND_VARIABLE_319292 tptp.set_nat) (BOUND_VARIABLE_319293 tptp.set_nat) (BOUND_VARIABLE_319294 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5990 BOUND_VARIABLE_319292) BOUND_VARIABLE_319293) BOUND_VARIABLE_319294) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319294) BOUND_VARIABLE_319292) BOUND_VARIABLE_319293))))) (let ((_let_11760 (forall ((BOUND_VARIABLE_319282 tptp.set_nat) (BOUND_VARIABLE_319283 tptp.set_nat) (BOUND_VARIABLE_319284 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5991 BOUND_VARIABLE_319282) BOUND_VARIABLE_319283) BOUND_VARIABLE_319284) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319284) BOUND_VARIABLE_319282) BOUND_VARIABLE_319283))))) (let ((_let_11761 (forall ((BOUND_VARIABLE_319272 tptp.set_nat) (BOUND_VARIABLE_319273 tptp.set_nat) (BOUND_VARIABLE_319274 Bool)) (= (ho_4556 (ho_4654 (ho_4665 k_5992 BOUND_VARIABLE_319272) BOUND_VARIABLE_319273) BOUND_VARIABLE_319274) (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319274) BOUND_VARIABLE_319272) BOUND_VARIABLE_319273))))) (let ((_let_11762 (forall ((BOUND_VARIABLE_319239 tptp.product_unit) (BOUND_VARIABLE_356244 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_319241 tptp.set_Product_unit) (BOUND_VARIABLE_319242 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_319242) (ho_4623 BOUND_VARIABLE_356244 BOUND_VARIABLE_319239)) (ho_4495 k_4494 (ho_4974 (ho_4973 k_5179 BOUND_VARIABLE_356244) BOUND_VARIABLE_319241))) (ho_4615 (ho_5704 (ho_5703 (ho_5817 k_5993 BOUND_VARIABLE_319239) BOUND_VARIABLE_356244) BOUND_VARIABLE_319241) BOUND_VARIABLE_319242))))) (let ((_let_11763 (forall ((BOUND_VARIABLE_319206 tptp.nat) (BOUND_VARIABLE_356264 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_319208 tptp.set_nat) (BOUND_VARIABLE_319209 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_319209) (ho_5049 BOUND_VARIABLE_356264 BOUND_VARIABLE_319206)) (ho_4495 k_4494 (ho_5052 (ho_5051 k_5180 BOUND_VARIABLE_356264) BOUND_VARIABLE_319208))) (ho_4615 (ho_5821 (ho_5820 (ho_5819 k_5994 BOUND_VARIABLE_319206) BOUND_VARIABLE_356264) BOUND_VARIABLE_319208) BOUND_VARIABLE_319209))))) (let ((_let_11764 (forall ((BOUND_VARIABLE_319173 tptp.product_prod_nat_nat) (BOUND_VARIABLE_356284 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_319175 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_319176 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319176) (ho_4628 BOUND_VARIABLE_356284 BOUND_VARIABLE_319173)) (ho_4845 k_4844 (ho_4986 (ho_4985 k_5181 BOUND_VARIABLE_356284) BOUND_VARIABLE_319175))) (ho_4556 (ho_5565 (ho_5727 (ho_5809 k_5995 BOUND_VARIABLE_319173) BOUND_VARIABLE_356284) BOUND_VARIABLE_319175) BOUND_VARIABLE_319176))))) (let ((_let_11765 (forall ((BOUND_VARIABLE_319140 Bool) (BOUND_VARIABLE_356304 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_319142 tptp.set_o) (BOUND_VARIABLE_319143 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319143) (ho_4556 BOUND_VARIABLE_356304 BOUND_VARIABLE_319140)) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5182 BOUND_VARIABLE_356304) BOUND_VARIABLE_319142))) (ho_4556 (ho_5740 (ho_5739 (ho_5811 k_5996 BOUND_VARIABLE_319140) BOUND_VARIABLE_356304) BOUND_VARIABLE_319142) BOUND_VARIABLE_319143))))) (let ((_let_11766 (forall ((BOUND_VARIABLE_319107 tptp.product_unit) (BOUND_VARIABLE_356324 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_319109 tptp.set_Product_unit) (BOUND_VARIABLE_319110 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319110) (ho_4639 BOUND_VARIABLE_356324 BOUND_VARIABLE_319107)) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5183 BOUND_VARIABLE_356324) BOUND_VARIABLE_319109))) (ho_4556 (ho_5748 (ho_5747 (ho_5813 k_5997 BOUND_VARIABLE_319107) BOUND_VARIABLE_356324) BOUND_VARIABLE_319109) BOUND_VARIABLE_319110))))) (let ((_let_11767 (forall ((BOUND_VARIABLE_319074 tptp.nat) (BOUND_VARIABLE_356344 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319076 tptp.set_nat) (BOUND_VARIABLE_319077 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_319077) (ho_4551 BOUND_VARIABLE_356344 BOUND_VARIABLE_319074)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5184 BOUND_VARIABLE_356344) BOUND_VARIABLE_319076))) (ho_4556 (ho_4654 (ho_5734 (ho_5815 k_5998 BOUND_VARIABLE_319074) BOUND_VARIABLE_356344) BOUND_VARIABLE_319076) BOUND_VARIABLE_319077))))) (let ((_let_11768 (forall ((BOUND_VARIABLE_356367 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_319065 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_319066 tptp.product_unit)) (= (ho_5651 (ho_5684 (ho_5683 k_5999 BOUND_VARIABLE_356367) BOUND_VARIABLE_319065) BOUND_VARIABLE_319066) (ho_4521 (ho_5638 k_6000 (ho_5651 BOUND_VARIABLE_356367 BOUND_VARIABLE_319066)) BOUND_VARIABLE_319065))))) (let ((_let_11769 (forall ((BOUND_VARIABLE_356382 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_319055 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_319056 tptp.product_unit)) (= (ho_5651 (ho_5684 (ho_5683 k_6001 BOUND_VARIABLE_356382) BOUND_VARIABLE_319055) BOUND_VARIABLE_319056) (ho_4521 (ho_5638 k_6000 (ho_5651 BOUND_VARIABLE_356382 BOUND_VARIABLE_319056)) BOUND_VARIABLE_319055))))) (let ((_let_11770 (forall ((BOUND_VARIABLE_356393 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_319018 tptp.set_nat) (BOUND_VARIABLE_319019 tptp.nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5033 (ho_5032 k_5185 BOUND_VARIABLE_356393) BOUND_VARIABLE_319019) BOUND_VARIABLE_319018)) (ho_4551 (ho_5658 (ho_5657 k_6002 BOUND_VARIABLE_356393) BOUND_VARIABLE_319018) BOUND_VARIABLE_319019))))) (let ((_let_11771 (forall ((BOUND_VARIABLE_356408 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_318981 tptp.set_nat) (BOUND_VARIABLE_318982 tptp.nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5033 (ho_5032 k_5186 BOUND_VARIABLE_356408) BOUND_VARIABLE_318982) BOUND_VARIABLE_318981)) (ho_4551 (ho_5658 (ho_5657 k_6003 BOUND_VARIABLE_356408) BOUND_VARIABLE_318981) BOUND_VARIABLE_318982))))) (let ((_let_11772 (forall ((BOUND_VARIABLE_356423 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_318948 tptp.set_nat) (BOUND_VARIABLE_318949 tptp.set_nat) (BOUND_VARIABLE_318950 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318950) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5187 BOUND_VARIABLE_356423) BOUND_VARIABLE_318948))) BOUND_VARIABLE_318949) (ho_4556 (ho_4654 (ho_4665 (ho_5784 k_6004 BOUND_VARIABLE_356423) BOUND_VARIABLE_318948) BOUND_VARIABLE_318949) BOUND_VARIABLE_318950))))) (let ((_let_11773 (forall ((BOUND_VARIABLE_356442 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_318911 tptp.set_nat) (BOUND_VARIABLE_318912 Bool)) (= (ho_4845 k_4844 (ho_4762 (ho_5038 (ho_5037 k_5188 BOUND_VARIABLE_356442) BOUND_VARIABLE_318912) BOUND_VARIABLE_318911)) (ho_4556 (ho_4654 (ho_5660 k_6005 BOUND_VARIABLE_356442) BOUND_VARIABLE_318911) BOUND_VARIABLE_318912))))) (let ((_let_11774 (forall ((BOUND_VARIABLE_356457 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_318873 tptp.set_nat) (BOUND_VARIABLE_318874 Bool)) (= (ho_4845 k_4844 (ho_4762 (ho_5038 (ho_5037 k_5189 BOUND_VARIABLE_356457) BOUND_VARIABLE_318874) BOUND_VARIABLE_318873)) (ho_4556 (ho_4654 (ho_5660 k_6006 BOUND_VARIABLE_356457) BOUND_VARIABLE_318873) BOUND_VARIABLE_318874))))) (let ((_let_11775 (forall ((BOUND_VARIABLE_356472 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_318840 tptp.set_o) (BOUND_VARIABLE_318841 tptp.set_nat) (BOUND_VARIABLE_318842 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318842) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5190 BOUND_VARIABLE_356472) BOUND_VARIABLE_318840))) BOUND_VARIABLE_318841) (ho_4556 (ho_4654 (ho_5789 (ho_5788 k_6007 BOUND_VARIABLE_356472) BOUND_VARIABLE_318840) BOUND_VARIABLE_318841) BOUND_VARIABLE_318842))))) (let ((_let_11776 (forall ((BOUND_VARIABLE_356491 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_318803 tptp.set_nat) (BOUND_VARIABLE_318804 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4762 (ho_5043 (ho_5042 k_5191 BOUND_VARIABLE_356491) BOUND_VARIABLE_318804) BOUND_VARIABLE_318803)) (ho_4639 (ho_5669 (ho_5668 k_6008 BOUND_VARIABLE_356491) BOUND_VARIABLE_318803) BOUND_VARIABLE_318804))))) (let ((_let_11777 (forall ((BOUND_VARIABLE_356506 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_318765 tptp.set_nat) (BOUND_VARIABLE_318766 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4762 (ho_5043 (ho_5042 k_5192 BOUND_VARIABLE_356506) BOUND_VARIABLE_318766) BOUND_VARIABLE_318765)) (ho_4639 (ho_5669 (ho_5668 k_6009 BOUND_VARIABLE_356506) BOUND_VARIABLE_318765) BOUND_VARIABLE_318766))))) (let ((_let_11778 (forall ((BOUND_VARIABLE_356521 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_318732 tptp.set_Product_unit) (BOUND_VARIABLE_318733 tptp.set_nat) (BOUND_VARIABLE_318734 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318734) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5193 BOUND_VARIABLE_356521) BOUND_VARIABLE_318732))) BOUND_VARIABLE_318733) (ho_4556 (ho_4654 (ho_5586 (ho_5794 k_6010 BOUND_VARIABLE_356521) BOUND_VARIABLE_318732) BOUND_VARIABLE_318733) BOUND_VARIABLE_318734))))) (let ((_let_11779 (forall ((BOUND_VARIABLE_356544 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_318722 tptp.set_o) (BOUND_VARIABLE_318723 tptp.nat)) (= (ho_6011 (ho_6014 (ho_6013 k_6012 BOUND_VARIABLE_356544) BOUND_VARIABLE_318722) BOUND_VARIABLE_318723) (ho_4864 (ho_6016 k_6015 (ho_6011 BOUND_VARIABLE_356544 BOUND_VARIABLE_318723)) BOUND_VARIABLE_318722))))) (let ((_let_11780 (forall ((BOUND_VARIABLE_356571 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_318712 tptp.set_o) (BOUND_VARIABLE_318713 tptp.nat)) (= (ho_6011 (ho_6014 (ho_6013 k_6017 BOUND_VARIABLE_356571) BOUND_VARIABLE_318712) BOUND_VARIABLE_318713) (ho_4864 (ho_6016 k_6015 (ho_6011 BOUND_VARIABLE_356571 BOUND_VARIABLE_318713)) BOUND_VARIABLE_318712))))) (let ((_let_11781 (forall ((BOUND_VARIABLE_356586 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_318702 tptp.set_o) (BOUND_VARIABLE_318703 Bool)) (= (ho_6018 (ho_6021 (ho_6020 k_6019 BOUND_VARIABLE_356586) BOUND_VARIABLE_318702) BOUND_VARIABLE_318703) (ho_4864 (ho_6016 k_6015 (ho_6018 BOUND_VARIABLE_356586 BOUND_VARIABLE_318703)) BOUND_VARIABLE_318702))))) (let ((_let_11782 (forall ((BOUND_VARIABLE_356609 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_318692 tptp.set_o) (BOUND_VARIABLE_318693 Bool)) (= (ho_6018 (ho_6021 (ho_6020 k_6022 BOUND_VARIABLE_356609) BOUND_VARIABLE_318692) BOUND_VARIABLE_318693) (ho_4864 (ho_6016 k_6015 (ho_6018 BOUND_VARIABLE_356609 BOUND_VARIABLE_318693)) BOUND_VARIABLE_318692))))) (let ((_let_11783 (forall ((BOUND_VARIABLE_356624 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_318682 tptp.set_o) (BOUND_VARIABLE_318683 tptp.product_unit)) (= (ho_6023 (ho_6026 (ho_6025 k_6024 BOUND_VARIABLE_356624) BOUND_VARIABLE_318682) BOUND_VARIABLE_318683) (ho_4864 (ho_6016 k_6015 (ho_6023 BOUND_VARIABLE_356624 BOUND_VARIABLE_318683)) BOUND_VARIABLE_318682))))) (let ((_let_11784 (forall ((BOUND_VARIABLE_356647 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_318672 tptp.set_o) (BOUND_VARIABLE_318673 tptp.product_unit)) (= (ho_6023 (ho_6026 (ho_6025 k_6027 BOUND_VARIABLE_356647) BOUND_VARIABLE_318672) BOUND_VARIABLE_318673) (ho_4864 (ho_6016 k_6015 (ho_6023 BOUND_VARIABLE_356647 BOUND_VARIABLE_318673)) BOUND_VARIABLE_318672))))) (let ((_let_11785 (forall ((BOUND_VARIABLE_318661 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_356661 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_318663 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_5653 k_6028 BOUND_VARIABLE_318661) BOUND_VARIABLE_356661) BOUND_VARIABLE_318663) (ho_4521 (ho_5638 k_6000 BOUND_VARIABLE_318661) (ho_5651 BOUND_VARIABLE_356661 BOUND_VARIABLE_318663)))))) (let ((_let_11786 (forall ((BOUND_VARIABLE_318651 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_356675 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_318653 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_5653 k_6029 BOUND_VARIABLE_318651) BOUND_VARIABLE_356675) BOUND_VARIABLE_318653) (ho_4521 (ho_5638 k_6000 BOUND_VARIABLE_318651) (ho_5651 BOUND_VARIABLE_356675 BOUND_VARIABLE_318653)))))) (let ((_let_11787 (forall ((BOUND_VARIABLE_318614 tptp.set_nat) (BOUND_VARIABLE_356686 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_318616 tptp.nat)) (= (ho_4845 k_4844 (ho_4511 (ho_4707 (ho_4995 k_5194 BOUND_VARIABLE_318614) BOUND_VARIABLE_356686) BOUND_VARIABLE_318616)) (ho_4551 (ho_5621 (ho_5620 k_6030 BOUND_VARIABLE_318614) BOUND_VARIABLE_356686) BOUND_VARIABLE_318616))))) (let ((_let_11788 (forall ((BOUND_VARIABLE_318576 tptp.set_nat) (BOUND_VARIABLE_356701 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_318578 tptp.nat)) (= (ho_4845 k_4844 (ho_4511 (ho_4707 (ho_4995 k_5195 BOUND_VARIABLE_318576) BOUND_VARIABLE_356701) BOUND_VARIABLE_318578)) (ho_4551 (ho_5621 (ho_5620 k_6031 BOUND_VARIABLE_318576) BOUND_VARIABLE_356701) BOUND_VARIABLE_318578))))) (let ((_let_11789 (forall ((BOUND_VARIABLE_318544 tptp.set_nat) (BOUND_VARIABLE_356716 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_318546 tptp.set_nat) (BOUND_VARIABLE_318547 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318547) BOUND_VARIABLE_318544) (ho_4845 k_4844 (ho_4762 (ho_4761 k_5196 BOUND_VARIABLE_356716) BOUND_VARIABLE_318546))) (ho_4556 (ho_4654 (ho_5734 (ho_5733 k_6032 BOUND_VARIABLE_318544) BOUND_VARIABLE_356716) BOUND_VARIABLE_318546) BOUND_VARIABLE_318547))))) (let ((_let_11790 (forall ((BOUND_VARIABLE_318507 tptp.set_nat) (BOUND_VARIABLE_356735 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_318509 Bool)) (= (ho_4845 k_4844 (ho_5004 (ho_5003 (ho_5002 k_5197 BOUND_VARIABLE_318507) BOUND_VARIABLE_356735) BOUND_VARIABLE_318509)) (ho_4556 (ho_5624 (ho_5623 k_6033 BOUND_VARIABLE_318507) BOUND_VARIABLE_356735) BOUND_VARIABLE_318509))))) (let ((_let_11791 (forall ((BOUND_VARIABLE_318469 tptp.set_nat) (BOUND_VARIABLE_356750 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_318471 Bool)) (= (ho_4845 k_4844 (ho_5004 (ho_5003 (ho_5002 k_5198 BOUND_VARIABLE_318469) BOUND_VARIABLE_356750) BOUND_VARIABLE_318471)) (ho_4556 (ho_5624 (ho_5623 k_6034 BOUND_VARIABLE_318469) BOUND_VARIABLE_356750) BOUND_VARIABLE_318471))))) (let ((_let_11792 (forall ((BOUND_VARIABLE_318437 tptp.set_nat) (BOUND_VARIABLE_356765 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_318439 tptp.set_o) (BOUND_VARIABLE_318440 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318440) BOUND_VARIABLE_318437) (ho_4845 k_4844 (ho_5000 (ho_4999 k_5199 BOUND_VARIABLE_356765) BOUND_VARIABLE_318439))) (ho_4556 (ho_5740 (ho_5739 (ho_5738 k_6035 BOUND_VARIABLE_318437) BOUND_VARIABLE_356765) BOUND_VARIABLE_318439) BOUND_VARIABLE_318440))))) (let ((_let_11793 (forall ((BOUND_VARIABLE_318400 tptp.set_nat) (BOUND_VARIABLE_356784 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_318402 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4940 (ho_5012 (ho_5011 k_5200 BOUND_VARIABLE_318400) BOUND_VARIABLE_356784) BOUND_VARIABLE_318402)) (ho_4639 (ho_5633 (ho_5632 k_6036 BOUND_VARIABLE_318400) BOUND_VARIABLE_356784) BOUND_VARIABLE_318402))))) (let ((_let_11794 (forall ((BOUND_VARIABLE_318362 tptp.set_nat) (BOUND_VARIABLE_356799 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_318364 tptp.product_unit)) (= (ho_4845 k_4844 (ho_4940 (ho_5012 (ho_5011 k_5201 BOUND_VARIABLE_318362) BOUND_VARIABLE_356799) BOUND_VARIABLE_318364)) (ho_4639 (ho_5633 (ho_5632 k_6037 BOUND_VARIABLE_318362) BOUND_VARIABLE_356799) BOUND_VARIABLE_318364))))) (let ((_let_11795 (forall ((BOUND_VARIABLE_318330 tptp.set_nat) (BOUND_VARIABLE_356814 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_318332 tptp.set_Product_unit) (BOUND_VARIABLE_318333 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318333) BOUND_VARIABLE_318330) (ho_4845 k_4844 (ho_5009 (ho_5008 k_5202 BOUND_VARIABLE_356814) BOUND_VARIABLE_318332))) (ho_4556 (ho_5748 (ho_5747 (ho_5746 k_6038 BOUND_VARIABLE_318330) BOUND_VARIABLE_356814) BOUND_VARIABLE_318332) BOUND_VARIABLE_318333))))) (let ((_let_11796 (forall ((BOUND_VARIABLE_318320 tptp.set_o) (BOUND_VARIABLE_356836 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_318322 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6040 k_6039 BOUND_VARIABLE_318320) BOUND_VARIABLE_356836) BOUND_VARIABLE_318322) (ho_4864 (ho_6016 k_6015 BOUND_VARIABLE_318320) (ho_6011 BOUND_VARIABLE_356836 BOUND_VARIABLE_318322)))))) (let ((_let_11797 (forall ((BOUND_VARIABLE_318310 tptp.set_o) (BOUND_VARIABLE_356857 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_318312 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6040 k_6042 BOUND_VARIABLE_318310) BOUND_VARIABLE_356857) BOUND_VARIABLE_318312) (ho_4864 (ho_6016 k_6015 BOUND_VARIABLE_318310) (ho_6011 BOUND_VARIABLE_356857 BOUND_VARIABLE_318312)))))) (let ((_let_11798 (forall ((BOUND_VARIABLE_318300 tptp.set_o) (BOUND_VARIABLE_356871 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_318302 Bool)) (= (ho_6018 (ho_6045 (ho_6044 k_6043 BOUND_VARIABLE_318300) BOUND_VARIABLE_356871) BOUND_VARIABLE_318302) (ho_4864 (ho_6016 k_6015 BOUND_VARIABLE_318300) (ho_6018 BOUND_VARIABLE_356871 BOUND_VARIABLE_318302)))))) (let ((_let_11799 (forall ((BOUND_VARIABLE_318290 tptp.set_o) (BOUND_VARIABLE_356892 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_318292 Bool)) (= (ho_6018 (ho_6045 (ho_6044 k_6046 BOUND_VARIABLE_318290) BOUND_VARIABLE_356892) BOUND_VARIABLE_318292) (ho_4864 (ho_6016 k_6015 BOUND_VARIABLE_318290) (ho_6018 BOUND_VARIABLE_356892 BOUND_VARIABLE_318292)))))) (let ((_let_11800 (forall ((BOUND_VARIABLE_318280 tptp.set_o) (BOUND_VARIABLE_356906 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_318282 tptp.product_unit)) (= (ho_6023 (ho_6049 (ho_6048 k_6047 BOUND_VARIABLE_318280) BOUND_VARIABLE_356906) BOUND_VARIABLE_318282) (ho_4864 (ho_6016 k_6015 BOUND_VARIABLE_318280) (ho_6023 BOUND_VARIABLE_356906 BOUND_VARIABLE_318282)))))) (let ((_let_11801 (forall ((BOUND_VARIABLE_318270 tptp.set_o) (BOUND_VARIABLE_356927 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_318272 tptp.product_unit)) (= (ho_6023 (ho_6049 (ho_6048 k_6050 BOUND_VARIABLE_318270) BOUND_VARIABLE_356927) BOUND_VARIABLE_318272) (ho_4864 (ho_6016 k_6015 BOUND_VARIABLE_318270) (ho_6023 BOUND_VARIABLE_356927 BOUND_VARIABLE_318272)))))) (let ((_let_11802 (forall ((BOUND_VARIABLE_318239 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318240 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318241 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_318241)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5203 BOUND_VARIABLE_318239) BOUND_VARIABLE_318240)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_6051 BOUND_VARIABLE_318239) BOUND_VARIABLE_318240) BOUND_VARIABLE_318241))))) (let ((_let_11803 (forall ((BOUND_VARIABLE_318189 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_356955 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_318191 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318192 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318192) (ho_4845 k_4844 (ho_5107 (ho_5106 k_5204 BOUND_VARIABLE_356955) BOUND_VARIABLE_318189))) (ho_4845 k_4844 (ho_5107 (ho_5106 k_5205 BOUND_VARIABLE_356955) BOUND_VARIABLE_318191))) (ho_4556 (ho_5921 (ho_5920 (ho_5919 k_6052 BOUND_VARIABLE_318189) BOUND_VARIABLE_356955) BOUND_VARIABLE_318191) BOUND_VARIABLE_318192))))) (let ((_let_11804 (forall ((BOUND_VARIABLE_318179 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318180 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318181 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_6053 BOUND_VARIABLE_318179) BOUND_VARIABLE_318180) BOUND_VARIABLE_318181) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_318181) BOUND_VARIABLE_318179) BOUND_VARIABLE_318180))))) (let ((_let_11805 (forall ((BOUND_VARIABLE_318129 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_356989 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_318131 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318132 Bool)) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_318132) (ho_4845 k_4844 (ho_5115 (ho_5114 k_5206 BOUND_VARIABLE_356989) BOUND_VARIABLE_318129))) (ho_4845 k_4844 (ho_5115 (ho_5114 k_5207 BOUND_VARIABLE_356989) BOUND_VARIABLE_318131))) (ho_4556 (ho_5926 (ho_5925 (ho_5924 k_6054 BOUND_VARIABLE_318129) BOUND_VARIABLE_356989) BOUND_VARIABLE_318131) BOUND_VARIABLE_318132))))) (let ((_let_11806 (forall ((BOUND_VARIABLE_318098 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318099 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318100 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_318100)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5208 BOUND_VARIABLE_318098) BOUND_VARIABLE_318099)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_6055 BOUND_VARIABLE_318098) BOUND_VARIABLE_318099) BOUND_VARIABLE_318100))))) (let ((_let_11807 (forall ((BOUND_VARIABLE_318048 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_357028 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_318050 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318051 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_318051) (ho_4495 k_4494 (ho_5018 (ho_5123 k_5209 BOUND_VARIABLE_357028) BOUND_VARIABLE_318048))) (ho_4495 k_4494 (ho_5018 (ho_5123 k_5210 BOUND_VARIABLE_357028) BOUND_VARIABLE_318050))) (ho_4615 (ho_4647 (ho_5930 (ho_5929 k_6056 BOUND_VARIABLE_318048) BOUND_VARIABLE_357028) BOUND_VARIABLE_318050) BOUND_VARIABLE_318051))))) (let ((_let_11808 (forall ((BOUND_VARIABLE_318038 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318039 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318040 Bool)) (= (ho_4615 (ho_4647 (ho_4667 k_6057 BOUND_VARIABLE_318038) BOUND_VARIABLE_318039) BOUND_VARIABLE_318040) (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_318040) BOUND_VARIABLE_318038) BOUND_VARIABLE_318039))))) (let ((_let_11809 (forall ((BOUND_VARIABLE_318028 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318029 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318030 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_6058 BOUND_VARIABLE_318028) BOUND_VARIABLE_318029) BOUND_VARIABLE_318030) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_318030) BOUND_VARIABLE_318028) BOUND_VARIABLE_318029))))) (let ((_let_11810 (forall ((BOUND_VARIABLE_317978 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_357074 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_317980 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_317981 Bool)) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_317981) (ho_4495 k_4494 (ho_5131 (ho_5130 k_5211 BOUND_VARIABLE_357074) BOUND_VARIABLE_317978))) (ho_4495 k_4494 (ho_5131 (ho_5130 k_5212 BOUND_VARIABLE_357074) BOUND_VARIABLE_317980))) (ho_4615 (ho_5900 (ho_5935 (ho_5934 k_6059 BOUND_VARIABLE_317978) BOUND_VARIABLE_357074) BOUND_VARIABLE_317980) BOUND_VARIABLE_317981))))) (let ((_let_11811 (forall ((BOUND_VARIABLE_357121 |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_357106 |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_317943 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_357096 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_317945 Bool)) (let ((_let_1 (ho_6061 k_6060 BOUND_VARIABLE_317943))) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_317945) (ho_6065 (ho_6064 k_6063 BOUND_VARIABLE_357121) (ho_4607 _let_1 (ho_4601 k_4600 BOUND_VARIABLE_357096)))) (ho_6065 (ho_6064 k_6063 BOUND_VARIABLE_357106) (ho_4607 _let_1 (ho_4601 k_4600 (ho_5214 k_5213 BOUND_VARIABLE_357096))))) (ho_4615 (ho_6070 (ho_6069 (ho_6068 (ho_6067 k_6066 BOUND_VARIABLE_357121) BOUND_VARIABLE_357106) BOUND_VARIABLE_317943) BOUND_VARIABLE_357096) BOUND_VARIABLE_317945)))))) (let ((_let_11812 (forall ((BOUND_VARIABLE_357175 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_357162 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_317906 tptp.set_nat) (BOUND_VARIABLE_357157 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_317908 Bool)) (let ((_let_1 (ho_4559 k_4928 BOUND_VARIABLE_317906))) (= (ho_4501 (ho_4622 (ho_4621 k_4620 BOUND_VARIABLE_317908) (ho_6073 (ho_6072 k_6071 BOUND_VARIABLE_357175) (ho_4560 _let_1 (ho_4845 k_4844 BOUND_VARIABLE_357157)))) (ho_6073 (ho_6072 k_6071 BOUND_VARIABLE_357162) (ho_4560 _let_1 (ho_4845 k_4844 (ho_5216 k_5215 BOUND_VARIABLE_357157))))) (ho_4615 (ho_6078 (ho_6077 (ho_6076 (ho_6075 k_6074 BOUND_VARIABLE_357175) BOUND_VARIABLE_357162) BOUND_VARIABLE_317906) BOUND_VARIABLE_357157) BOUND_VARIABLE_317908)))))) (let ((_let_11813 (forall ((BOUND_VARIABLE_357213 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_317897 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 k_6079 BOUND_VARIABLE_357213) BOUND_VARIABLE_317897) (not (ho_4575 BOUND_VARIABLE_357213 BOUND_VARIABLE_317897)))))) (let ((_let_11814 (forall ((BOUND_VARIABLE_357227 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_317889 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 k_6081 BOUND_VARIABLE_357227) BOUND_VARIABLE_317889) (not (ho_4599 BOUND_VARIABLE_357227 BOUND_VARIABLE_317889)))))) (let ((_let_11815 (forall ((BOUND_VARIABLE_357238 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_317881 tptp.nat)) (= (ho_4593 (ho_5216 k_6082 BOUND_VARIABLE_357238) BOUND_VARIABLE_317881) (not (ho_4593 BOUND_VARIABLE_357238 BOUND_VARIABLE_317881)))))) (let ((_let_11816 (forall ((BOUND_VARIABLE_357257 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_357252 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_317845 tptp.set_nat) (BOUND_VARIABLE_357247 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_317847 Bool)) (let ((_let_1 (ho_4559 k_4928 BOUND_VARIABLE_317845))) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_317847) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_357257) (ho_4560 _let_1 (ho_4845 k_4844 BOUND_VARIABLE_357247)))) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_357252) (ho_4560 _let_1 (ho_4845 k_4844 (ho_5216 k_5217 BOUND_VARIABLE_357247))))) (ho_4556 (ho_4861 (ho_6086 (ho_6085 (ho_6084 k_6083 BOUND_VARIABLE_357257) BOUND_VARIABLE_357252) BOUND_VARIABLE_317845) BOUND_VARIABLE_357247) BOUND_VARIABLE_317847)))))) (let ((_let_11817 (forall ((BOUND_VARIABLE_357299 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_357294 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_317808 tptp.set_int) (BOUND_VARIABLE_357289 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_317810 Bool)) (let ((_let_1 (ho_4918 k_4917 BOUND_VARIABLE_317808))) (= (ho_4560 (ho_4559 (ho_4558 k_4557 BOUND_VARIABLE_317810) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_357299) (ho_4913 _let_1 (ho_5339 k_5338 BOUND_VARIABLE_357289)))) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_357294) (ho_4913 _let_1 (ho_5339 k_5338 (ho_5220 k_5219 BOUND_VARIABLE_357289))))) (ho_4556 (ho_6091 (ho_6090 (ho_6089 (ho_6088 k_6087 BOUND_VARIABLE_357299) BOUND_VARIABLE_357294) BOUND_VARIABLE_317808) BOUND_VARIABLE_357289) BOUND_VARIABLE_317810)))))) (let ((_let_11818 (forall ((BOUND_VARIABLE_357335 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_317769 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5221 BOUND_VARIABLE_357335) BOUND_VARIABLE_317769)) (ho_4524 (ho_4768 k_6092 BOUND_VARIABLE_357335) BOUND_VARIABLE_317769))))) (let ((_let_11819 (forall ((BOUND_VARIABLE_357351 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357350 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317760 tptp.nat)) (= (ho_5594 (ho_5613 (ho_5612 k_6093 BOUND_VARIABLE_357351) BOUND_VARIABLE_357350) BOUND_VARIABLE_317760) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357351) (ho_5594 BOUND_VARIABLE_357350 BOUND_VARIABLE_317760)))))) (let ((_let_11820 (forall ((BOUND_VARIABLE_357367 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_357365 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_317750 Bool)) (= (ho_5598 (ho_6097 (ho_6096 k_6095 BOUND_VARIABLE_357367) BOUND_VARIABLE_357365) BOUND_VARIABLE_317750) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_357367) (ho_6018 BOUND_VARIABLE_357365 BOUND_VARIABLE_317750)))))) (let ((_let_11821 (forall ((BOUND_VARIABLE_357404 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_357400 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_317740 Bool)) (= (ho_5598 (ho_6105 (ho_6104 k_6103 BOUND_VARIABLE_357404) BOUND_VARIABLE_357400) BOUND_VARIABLE_317740) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_357404) (ho_6101 BOUND_VARIABLE_357400 BOUND_VARIABLE_317740)))))) (let ((_let_11822 (forall ((BOUND_VARIABLE_357437 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357436 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317730 Bool)) (= (ho_5598 (ho_5616 (ho_5615 k_6109 BOUND_VARIABLE_357437) BOUND_VARIABLE_357436) BOUND_VARIABLE_317730) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357437) (ho_5598 BOUND_VARIABLE_357436 BOUND_VARIABLE_317730)))))) (let ((_let_11823 (forall ((BOUND_VARIABLE_357452 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_357451 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_317720 tptp.product_unit)) (= (ho_6113 (ho_6112 (ho_6111 k_6110 BOUND_VARIABLE_357452) BOUND_VARIABLE_357451) BOUND_VARIABLE_317720) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_357452) (ho_6023 BOUND_VARIABLE_357451 BOUND_VARIABLE_317720)))))) (let ((_let_11824 (forall ((BOUND_VARIABLE_357481 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_357478 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_317710 tptp.product_unit)) (= (ho_6113 (ho_6117 (ho_6116 k_6115 BOUND_VARIABLE_357481) BOUND_VARIABLE_357478) BOUND_VARIABLE_317710) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_357481) (ho_6114 BOUND_VARIABLE_357478 BOUND_VARIABLE_317710)))))) (let ((_let_11825 (forall ((BOUND_VARIABLE_357504 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357503 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317700 tptp.product_unit)) (= (ho_6113 (ho_6120 (ho_6119 k_6118 BOUND_VARIABLE_357504) BOUND_VARIABLE_357503) BOUND_VARIABLE_317700) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357504) (ho_6113 BOUND_VARIABLE_357503 BOUND_VARIABLE_317700)))))) (let ((_let_11826 (forall ((BOUND_VARIABLE_357529 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_357526 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_317690 tptp.int)) (= (ho_4896 (ho_6124 (ho_6123 k_6122 BOUND_VARIABLE_357529) BOUND_VARIABLE_357526) BOUND_VARIABLE_317690) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_357529) (ho_6121 BOUND_VARIABLE_357526 BOUND_VARIABLE_317690)))))) (let ((_let_11827 (forall ((BOUND_VARIABLE_357555 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_357552 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_317680 tptp.int)) (= (ho_4896 (ho_6128 (ho_6127 k_6126 BOUND_VARIABLE_357555) BOUND_VARIABLE_357552) BOUND_VARIABLE_317680) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_357555) (ho_6125 BOUND_VARIABLE_357552 BOUND_VARIABLE_317680)))))) (let ((_let_11828 (forall ((BOUND_VARIABLE_357578 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357577 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_317670 tptp.int)) (= (ho_4896 (ho_5610 (ho_5609 k_6129 BOUND_VARIABLE_357578) BOUND_VARIABLE_357577) BOUND_VARIABLE_317670) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357578) (ho_4896 BOUND_VARIABLE_357577 BOUND_VARIABLE_317670)))))) (let ((_let_11829 (forall ((BOUND_VARIABLE_357593 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357592 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317660 tptp.nat)) (= (ho_5594 (ho_5613 (ho_5612 k_6130 BOUND_VARIABLE_357593) BOUND_VARIABLE_357592) BOUND_VARIABLE_317660) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357593) (ho_5594 BOUND_VARIABLE_357592 BOUND_VARIABLE_317660)))))) (let ((_let_11830 (forall ((BOUND_VARIABLE_357608 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_357607 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_317650 Bool)) (= (ho_5598 (ho_6097 (ho_6096 k_6131 BOUND_VARIABLE_357608) BOUND_VARIABLE_357607) BOUND_VARIABLE_317650) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_357608) (ho_6018 BOUND_VARIABLE_357607 BOUND_VARIABLE_317650)))))) (let ((_let_11831 (forall ((BOUND_VARIABLE_357623 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_357622 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_317640 Bool)) (= (ho_5598 (ho_6105 (ho_6104 k_6132 BOUND_VARIABLE_357623) BOUND_VARIABLE_357622) BOUND_VARIABLE_317640) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_357623) (ho_6101 BOUND_VARIABLE_357622 BOUND_VARIABLE_317640)))))) (let ((_let_11832 (forall ((BOUND_VARIABLE_357638 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357637 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317630 Bool)) (= (ho_5598 (ho_5616 (ho_5615 k_6133 BOUND_VARIABLE_357638) BOUND_VARIABLE_357637) BOUND_VARIABLE_317630) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357638) (ho_5598 BOUND_VARIABLE_357637 BOUND_VARIABLE_317630)))))) (let ((_let_11833 (forall ((BOUND_VARIABLE_357653 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_357652 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_317620 tptp.product_unit)) (= (ho_6113 (ho_6112 (ho_6111 k_6134 BOUND_VARIABLE_357653) BOUND_VARIABLE_357652) BOUND_VARIABLE_317620) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_357653) (ho_6023 BOUND_VARIABLE_357652 BOUND_VARIABLE_317620)))))) (let ((_let_11834 (forall ((BOUND_VARIABLE_357668 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_357667 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_317610 tptp.product_unit)) (= (ho_6113 (ho_6117 (ho_6116 k_6135 BOUND_VARIABLE_357668) BOUND_VARIABLE_357667) BOUND_VARIABLE_317610) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_357668) (ho_6114 BOUND_VARIABLE_357667 BOUND_VARIABLE_317610)))))) (let ((_let_11835 (forall ((BOUND_VARIABLE_357683 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357682 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317600 tptp.product_unit)) (= (ho_6113 (ho_6120 (ho_6119 k_6136 BOUND_VARIABLE_357683) BOUND_VARIABLE_357682) BOUND_VARIABLE_317600) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357683) (ho_6113 BOUND_VARIABLE_357682 BOUND_VARIABLE_317600)))))) (let ((_let_11836 (forall ((BOUND_VARIABLE_357698 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_357697 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_317590 tptp.int)) (= (ho_4896 (ho_6124 (ho_6123 k_6137 BOUND_VARIABLE_357698) BOUND_VARIABLE_357697) BOUND_VARIABLE_317590) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_357698) (ho_6121 BOUND_VARIABLE_357697 BOUND_VARIABLE_317590)))))) (let ((_let_11837 (forall ((BOUND_VARIABLE_357713 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_357712 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_317580 tptp.int)) (= (ho_4896 (ho_6128 (ho_6127 k_6138 BOUND_VARIABLE_357713) BOUND_VARIABLE_357712) BOUND_VARIABLE_317580) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_357713) (ho_6125 BOUND_VARIABLE_357712 BOUND_VARIABLE_317580)))))) (let ((_let_11838 (forall ((BOUND_VARIABLE_357728 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_357727 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_317570 tptp.int)) (= (ho_4896 (ho_5610 (ho_5609 k_6139 BOUND_VARIABLE_357728) BOUND_VARIABLE_357727) BOUND_VARIABLE_317570) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_357728) (ho_4896 BOUND_VARIABLE_357727 BOUND_VARIABLE_317570)))))) (let ((_let_11839 (forall ((BOUND_VARIABLE_357742 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_317559 tptp.set_nat) (BOUND_VARIABLE_317560 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_6140 BOUND_VARIABLE_357742) BOUND_VARIABLE_317559) BOUND_VARIABLE_317560) (ho_4560 (ho_4559 k_4928 (ho_4639 BOUND_VARIABLE_357742 BOUND_VARIABLE_317560)) BOUND_VARIABLE_317559))))) (let ((_let_11840 (forall ((BOUND_VARIABLE_357756 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_317549 tptp.set_nat) (BOUND_VARIABLE_317550 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_6141 BOUND_VARIABLE_357756) BOUND_VARIABLE_317549) BOUND_VARIABLE_317550) (ho_4560 (ho_4559 k_4928 (ho_4639 BOUND_VARIABLE_357756 BOUND_VARIABLE_317550)) BOUND_VARIABLE_317549))))) (let ((_let_11841 (forall ((BOUND_VARIABLE_357770 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317539 tptp.set_int) (BOUND_VARIABLE_317540 tptp.nat)) (= (ho_5594 (ho_6144 (ho_6143 k_6142 BOUND_VARIABLE_357770) BOUND_VARIABLE_317539) BOUND_VARIABLE_317540) (ho_4913 (ho_4918 k_4917 (ho_5594 BOUND_VARIABLE_357770 BOUND_VARIABLE_317540)) BOUND_VARIABLE_317539))))) (let ((_let_11842 (forall ((BOUND_VARIABLE_357791 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317529 tptp.set_int) (BOUND_VARIABLE_317530 tptp.nat)) (= (ho_5594 (ho_6144 (ho_6143 k_6145 BOUND_VARIABLE_357791) BOUND_VARIABLE_317529) BOUND_VARIABLE_317530) (ho_4913 (ho_4918 k_4917 (ho_5594 BOUND_VARIABLE_357791 BOUND_VARIABLE_317530)) BOUND_VARIABLE_317529))))) (let ((_let_11843 (forall ((BOUND_VARIABLE_357805 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317519 tptp.set_int) (BOUND_VARIABLE_317520 Bool)) (= (ho_5598 (ho_6148 (ho_6147 k_6146 BOUND_VARIABLE_357805) BOUND_VARIABLE_317519) BOUND_VARIABLE_317520) (ho_4913 (ho_4918 k_4917 (ho_5598 BOUND_VARIABLE_357805 BOUND_VARIABLE_317520)) BOUND_VARIABLE_317519))))) (let ((_let_11844 (forall ((BOUND_VARIABLE_357826 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317509 tptp.set_int) (BOUND_VARIABLE_317510 Bool)) (= (ho_5598 (ho_6148 (ho_6147 k_6149 BOUND_VARIABLE_357826) BOUND_VARIABLE_317509) BOUND_VARIABLE_317510) (ho_4913 (ho_4918 k_4917 (ho_5598 BOUND_VARIABLE_357826 BOUND_VARIABLE_317510)) BOUND_VARIABLE_317509))))) (let ((_let_11845 (forall ((BOUND_VARIABLE_357840 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317499 tptp.set_int) (BOUND_VARIABLE_317500 tptp.product_unit)) (= (ho_6113 (ho_6152 (ho_6151 k_6150 BOUND_VARIABLE_357840) BOUND_VARIABLE_317499) BOUND_VARIABLE_317500) (ho_4913 (ho_4918 k_4917 (ho_6113 BOUND_VARIABLE_357840 BOUND_VARIABLE_317500)) BOUND_VARIABLE_317499))))) (let ((_let_11846 (forall ((BOUND_VARIABLE_357861 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317489 tptp.set_int) (BOUND_VARIABLE_317490 tptp.product_unit)) (= (ho_6113 (ho_6152 (ho_6151 k_6153 BOUND_VARIABLE_357861) BOUND_VARIABLE_317489) BOUND_VARIABLE_317490) (ho_4913 (ho_4918 k_4917 (ho_6113 BOUND_VARIABLE_357861 BOUND_VARIABLE_317490)) BOUND_VARIABLE_317489))))) (let ((_let_11847 (forall ((BOUND_VARIABLE_317478 tptp.set_nat) (BOUND_VARIABLE_357875 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_317480 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_6154 BOUND_VARIABLE_317478) BOUND_VARIABLE_357875) BOUND_VARIABLE_317480) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_317478) (ho_4639 BOUND_VARIABLE_357875 BOUND_VARIABLE_317480)))))) (let ((_let_11848 (forall ((BOUND_VARIABLE_317468 tptp.set_nat) (BOUND_VARIABLE_357889 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_317470 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_6155 BOUND_VARIABLE_317468) BOUND_VARIABLE_357889) BOUND_VARIABLE_317470) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_317468) (ho_4639 BOUND_VARIABLE_357889 BOUND_VARIABLE_317470)))))) (let ((_let_11849 (forall ((BOUND_VARIABLE_317458 tptp.set_int) (BOUND_VARIABLE_357903 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317460 tptp.nat)) (= (ho_5594 (ho_5613 (ho_6157 k_6156 BOUND_VARIABLE_317458) BOUND_VARIABLE_357903) BOUND_VARIABLE_317460) (ho_4913 (ho_4918 k_4917 BOUND_VARIABLE_317458) (ho_5594 BOUND_VARIABLE_357903 BOUND_VARIABLE_317460)))))) (let ((_let_11850 (forall ((BOUND_VARIABLE_317448 tptp.set_int) (BOUND_VARIABLE_357921 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317450 tptp.nat)) (= (ho_5594 (ho_5613 (ho_6157 k_6158 BOUND_VARIABLE_317448) BOUND_VARIABLE_357921) BOUND_VARIABLE_317450) (ho_4913 (ho_4918 k_4917 BOUND_VARIABLE_317448) (ho_5594 BOUND_VARIABLE_357921 BOUND_VARIABLE_317450)))))) (let ((_let_11851 (forall ((BOUND_VARIABLE_317438 tptp.set_int) (BOUND_VARIABLE_357935 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317440 Bool)) (= (ho_5598 (ho_5616 (ho_6160 k_6159 BOUND_VARIABLE_317438) BOUND_VARIABLE_357935) BOUND_VARIABLE_317440) (ho_4913 (ho_4918 k_4917 BOUND_VARIABLE_317438) (ho_5598 BOUND_VARIABLE_357935 BOUND_VARIABLE_317440)))))) (let ((_let_11852 (forall ((BOUND_VARIABLE_317428 tptp.set_int) (BOUND_VARIABLE_357953 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317430 Bool)) (= (ho_5598 (ho_5616 (ho_6160 k_6161 BOUND_VARIABLE_317428) BOUND_VARIABLE_357953) BOUND_VARIABLE_317430) (ho_4913 (ho_4918 k_4917 BOUND_VARIABLE_317428) (ho_5598 BOUND_VARIABLE_357953 BOUND_VARIABLE_317430)))))) (let ((_let_11853 (forall ((BOUND_VARIABLE_317418 tptp.set_int) (BOUND_VARIABLE_357967 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317420 tptp.product_unit)) (= (ho_6113 (ho_6120 (ho_6163 k_6162 BOUND_VARIABLE_317418) BOUND_VARIABLE_357967) BOUND_VARIABLE_317420) (ho_4913 (ho_4918 k_4917 BOUND_VARIABLE_317418) (ho_6113 BOUND_VARIABLE_357967 BOUND_VARIABLE_317420)))))) (let ((_let_11854 (forall ((BOUND_VARIABLE_317408 tptp.set_int) (BOUND_VARIABLE_357985 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317410 tptp.product_unit)) (= (ho_6113 (ho_6120 (ho_6163 k_6164 BOUND_VARIABLE_317408) BOUND_VARIABLE_357985) BOUND_VARIABLE_317410) (ho_4913 (ho_4918 k_4917 BOUND_VARIABLE_317408) (ho_6113 BOUND_VARIABLE_357985 BOUND_VARIABLE_317410)))))) (let ((_let_11855 (forall ((BOUND_VARIABLE_317365 tptp.int) (BOUND_VARIABLE_317366 tptp.set_int) (BOUND_VARIABLE_317367 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 (ho_5223 k_5222 BOUND_VARIABLE_317367) BOUND_VARIABLE_317365) BOUND_VARIABLE_317366)) (ho_4610 (ho_5575 (ho_6166 k_6165 BOUND_VARIABLE_317365) BOUND_VARIABLE_317366) BOUND_VARIABLE_317367))))) (let ((_let_11856 (forall ((BOUND_VARIABLE_317321 tptp.int) (BOUND_VARIABLE_317322 tptp.set_int) (BOUND_VARIABLE_317323 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 (ho_5223 k_5224 BOUND_VARIABLE_317323) BOUND_VARIABLE_317321) BOUND_VARIABLE_317322)) (ho_4610 (ho_5575 (ho_6166 k_6167 BOUND_VARIABLE_317321) BOUND_VARIABLE_317322) BOUND_VARIABLE_317323))))) (let ((_let_11857 (forall ((BOUND_VARIABLE_317285 tptp.set_int) (BOUND_VARIABLE_317286 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5225 BOUND_VARIABLE_317286) BOUND_VARIABLE_317285)) (ho_4610 (ho_5575 k_6168 BOUND_VARIABLE_317285) BOUND_VARIABLE_317286))))) (let ((_let_11858 (forall ((BOUND_VARIABLE_317275 tptp.nat) (BOUND_VARIABLE_317276 tptp.num)) (= (ho_5540 (ho_5539 k_6169 BOUND_VARIABLE_317275) BOUND_VARIABLE_317276) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_317275) BOUND_VARIABLE_317276)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_11859 (forall ((BOUND_VARIABLE_317265 tptp.nat) (BOUND_VARIABLE_317266 tptp.num)) (= (ho_5540 (ho_5539 k_6170 BOUND_VARIABLE_317265) BOUND_VARIABLE_317266) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_317265) BOUND_VARIABLE_317266)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_11860 (forall ((BOUND_VARIABLE_317255 tptp.set_nat) (BOUND_VARIABLE_358060 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_317257 tptp.nat)) (= (ho_4551 (ho_5621 (ho_5620 k_6171 BOUND_VARIABLE_317255) BOUND_VARIABLE_358060) BOUND_VARIABLE_317257) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_317255) (ho_4551 BOUND_VARIABLE_358060 BOUND_VARIABLE_317257)))))) (let ((_let_11861 (forall ((BOUND_VARIABLE_317245 tptp.set_nat) (BOUND_VARIABLE_358074 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_317247 Bool)) (= (ho_4556 (ho_5624 (ho_5623 k_6172 BOUND_VARIABLE_317245) BOUND_VARIABLE_358074) BOUND_VARIABLE_317247) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_317245) (ho_4556 BOUND_VARIABLE_358074 BOUND_VARIABLE_317247)))))) (let ((_let_11862 (forall ((BOUND_VARIABLE_317235 tptp.set_nat) (BOUND_VARIABLE_358088 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_317237 tptp.product_prod_nat_nat)) (= (ho_4628 (ho_5627 (ho_5626 k_6173 BOUND_VARIABLE_317235) BOUND_VARIABLE_358088) BOUND_VARIABLE_317237) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_317235) (ho_4628 BOUND_VARIABLE_358088 BOUND_VARIABLE_317237)))))) (let ((_let_11863 (forall ((BOUND_VARIABLE_317225 tptp.set_nat) (BOUND_VARIABLE_358102 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_317227 tptp.produc3843707927480180839at_nat)) (= (ho_4879 (ho_5630 (ho_5629 k_6174 BOUND_VARIABLE_317225) BOUND_VARIABLE_358102) BOUND_VARIABLE_317227) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_317225) (ho_4879 BOUND_VARIABLE_358102 BOUND_VARIABLE_317227)))))) (let ((_let_11864 (forall ((BOUND_VARIABLE_317215 tptp.set_nat) (BOUND_VARIABLE_358116 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_317217 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_6175 BOUND_VARIABLE_317215) BOUND_VARIABLE_358116) BOUND_VARIABLE_317217) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_317215) (ho_4639 BOUND_VARIABLE_358116 BOUND_VARIABLE_317217)))))) (let ((_let_11865 (forall ((BOUND_VARIABLE_358130 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_317206 tptp.set_nat) (BOUND_VARIABLE_317207 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_6176 BOUND_VARIABLE_358130) BOUND_VARIABLE_317206) BOUND_VARIABLE_317207) (ho_4560 (ho_4559 k_5259 (ho_4639 BOUND_VARIABLE_358130 BOUND_VARIABLE_317207)) BOUND_VARIABLE_317206))))) (let ((_let_11866 (forall ((BOUND_VARIABLE_358144 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_317196 tptp.set_int) (BOUND_VARIABLE_317197 tptp.nat)) (= (ho_5594 (ho_6144 (ho_6143 k_6177 BOUND_VARIABLE_358144) BOUND_VARIABLE_317196) BOUND_VARIABLE_317197) (ho_4913 (ho_4918 k_4951 (ho_5594 BOUND_VARIABLE_358144 BOUND_VARIABLE_317197)) BOUND_VARIABLE_317196))))) (let ((_let_11867 (forall ((BOUND_VARIABLE_358158 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_317186 tptp.set_int) (BOUND_VARIABLE_317187 Bool)) (= (ho_5598 (ho_6148 (ho_6147 k_6178 BOUND_VARIABLE_358158) BOUND_VARIABLE_317186) BOUND_VARIABLE_317187) (ho_4913 (ho_4918 k_4951 (ho_5598 BOUND_VARIABLE_358158 BOUND_VARIABLE_317187)) BOUND_VARIABLE_317186))))) (let ((_let_11868 (forall ((BOUND_VARIABLE_358172 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_317176 tptp.set_int) (BOUND_VARIABLE_317177 tptp.product_unit)) (= (ho_6113 (ho_6152 (ho_6151 k_6179 BOUND_VARIABLE_358172) BOUND_VARIABLE_317176) BOUND_VARIABLE_317177) (ho_4913 (ho_4918 k_4951 (ho_6113 BOUND_VARIABLE_358172 BOUND_VARIABLE_317177)) BOUND_VARIABLE_317176))))) (let ((_let_11869 (forall ((BOUND_VARIABLE_317155 tptp.set_set_nat) (BOUND_VARIABLE_317156 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_317156)) (ho_6185 (ho_6184 k_6183 k_4844) (ho_6182 (ho_6181 k_6180 k_5226) BOUND_VARIABLE_317155)))) (ho_4593 (ho_5067 k_6186 BOUND_VARIABLE_317155) BOUND_VARIABLE_317156))))) (let ((_let_11870 (forall ((BOUND_VARIABLE_317145 tptp.set_set_nat) (BOUND_VARIABLE_317146 tptp.nat)) (= (ho_4593 (ho_5067 k_6187 BOUND_VARIABLE_317145) BOUND_VARIABLE_317146) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_317146)) BOUND_VARIABLE_317145)))))) (let ((_let_11871 (forall ((BOUND_VARIABLE_317125 tptp.set_set_int) (BOUND_VARIABLE_317126 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_317126)) (ho_6193 (ho_6192 k_6191 k_5338) (ho_6190 (ho_6189 k_6188 k_5228) BOUND_VARIABLE_317125)))) (ho_5218 (ho_6198 k_6197 BOUND_VARIABLE_317125) BOUND_VARIABLE_317126))))) (let ((_let_11872 (forall ((BOUND_VARIABLE_317115 tptp.set_set_int) (BOUND_VARIABLE_317116 tptp.int)) (= (ho_5218 (ho_6198 k_6199 BOUND_VARIABLE_317115) BOUND_VARIABLE_317116) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_317116)) BOUND_VARIABLE_317115)))))) (let ((_let_11873 (forall ((BOUND_VARIABLE_317095 tptp.set_set_o) (BOUND_VARIABLE_317096 Bool)) (= (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_317096)) (ho_6207 (ho_6206 k_6205 k_6203) (ho_6202 (ho_6201 k_6200 k_5233) BOUND_VARIABLE_317095)))) (ho_5235 (ho_6212 k_6211 BOUND_VARIABLE_317095) BOUND_VARIABLE_317096))))) (let ((_let_11874 (forall ((BOUND_VARIABLE_317085 tptp.set_set_o) (BOUND_VARIABLE_317086 Bool)) (= (ho_5235 (ho_6212 k_6213 BOUND_VARIABLE_317085) BOUND_VARIABLE_317086) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_317086)) BOUND_VARIABLE_317085)))))) (let ((_let_11875 (forall ((BOUND_VARIABLE_317065 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_317066 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_317066)) (ho_6219 (ho_6218 k_6217 k_4514) (ho_6216 (ho_6215 k_6214 k_5238) BOUND_VARIABLE_317065)))) (ho_4575 (ho_6221 k_6220 BOUND_VARIABLE_317065) BOUND_VARIABLE_317066))))) (let ((_let_11876 (forall ((BOUND_VARIABLE_317055 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_317056 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_6222 BOUND_VARIABLE_317055) BOUND_VARIABLE_317056) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_317056)) BOUND_VARIABLE_317055)))))) (let ((_let_11877 (forall ((BOUND_VARIABLE_317035 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_317036 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_317036)) (ho_6228 (ho_6227 k_6226 k_4494) (ho_6225 (ho_6224 k_6223 k_5241) BOUND_VARIABLE_317035)))) (ho_4544 (ho_5072 k_6229 BOUND_VARIABLE_317035) BOUND_VARIABLE_317036))))) (let ((_let_11878 (forall ((BOUND_VARIABLE_317025 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_317026 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_6230 BOUND_VARIABLE_317025) BOUND_VARIABLE_317026) (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_317026)) BOUND_VARIABLE_317025)))))) (let ((_let_11879 (forall ((BOUND_VARIABLE_317005 tptp.set_set_nat) (BOUND_VARIABLE_317006 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_317006)) (ho_6185 (ho_6184 k_6183 k_4844) (ho_6182 (ho_6181 k_6180 k_5243) BOUND_VARIABLE_317005)))) (ho_4593 (ho_5067 k_6231 BOUND_VARIABLE_317005) BOUND_VARIABLE_317006))))) (let ((_let_11880 (forall ((BOUND_VARIABLE_316995 tptp.set_set_nat) (BOUND_VARIABLE_316996 tptp.nat)) (= (ho_4593 (ho_5067 k_6232 BOUND_VARIABLE_316995) BOUND_VARIABLE_316996) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_316996)) BOUND_VARIABLE_316995)))))) (let ((_let_11881 (forall ((BOUND_VARIABLE_316975 tptp.set_set_int) (BOUND_VARIABLE_316976 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_316976)) (ho_6193 (ho_6192 k_6191 k_5338) (ho_6190 (ho_6189 k_6188 k_5244) BOUND_VARIABLE_316975)))) (ho_5218 (ho_6198 k_6233 BOUND_VARIABLE_316975) BOUND_VARIABLE_316976))))) (let ((_let_11882 (forall ((BOUND_VARIABLE_316965 tptp.set_set_int) (BOUND_VARIABLE_316966 tptp.int)) (= (ho_5218 (ho_6198 k_6234 BOUND_VARIABLE_316965) BOUND_VARIABLE_316966) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_316966)) BOUND_VARIABLE_316965)))))) (let ((_let_11883 (forall ((BOUND_VARIABLE_316945 tptp.set_set_o) (BOUND_VARIABLE_316946 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_316946)) (ho_6207 (ho_6206 k_6205 k_6203) (ho_6202 (ho_6201 k_6200 k_5245) BOUND_VARIABLE_316945)))) (ho_5235 (ho_6212 k_6235 BOUND_VARIABLE_316945) BOUND_VARIABLE_316946))))) (let ((_let_11884 (forall ((BOUND_VARIABLE_316935 tptp.set_set_o) (BOUND_VARIABLE_316936 Bool)) (= (ho_5235 (ho_6212 k_6236 BOUND_VARIABLE_316935) BOUND_VARIABLE_316936) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_316936)) BOUND_VARIABLE_316935)))))) (let ((_let_11885 (forall ((BOUND_VARIABLE_316915 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316916 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_316916)) (ho_6219 (ho_6218 k_6217 k_4514) (ho_6216 (ho_6215 k_6214 k_5246) BOUND_VARIABLE_316915)))) (ho_4575 (ho_6221 k_6237 BOUND_VARIABLE_316915) BOUND_VARIABLE_316916))))) (let ((_let_11886 (forall ((BOUND_VARIABLE_316905 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316906 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_6238 BOUND_VARIABLE_316905) BOUND_VARIABLE_316906) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_316906)) BOUND_VARIABLE_316905)))))) (let ((_let_11887 (forall ((BOUND_VARIABLE_316885 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316886 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_316886)) (ho_6228 (ho_6227 k_6226 k_4494) (ho_6225 (ho_6224 k_6223 k_5247) BOUND_VARIABLE_316885)))) (ho_4544 (ho_5072 k_6239 BOUND_VARIABLE_316885) BOUND_VARIABLE_316886))))) (let ((_let_11888 (forall ((BOUND_VARIABLE_316875 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316876 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_6240 BOUND_VARIABLE_316875) BOUND_VARIABLE_316876) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_316876)) BOUND_VARIABLE_316875)))))) (let ((_let_11889 (forall ((BOUND_VARIABLE_316853 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316854 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_316854)) (ho_6251 (ho_6250 k_6249 k_4600) (ho_6248 (ho_6247 k_6246 k_6244) (ho_6243 (ho_6242 k_6241 k_5248) BOUND_VARIABLE_316853))))) (ho_4599 (ho_6253 k_6252 BOUND_VARIABLE_316853) BOUND_VARIABLE_316854))))) (let ((_let_11890 (forall ((BOUND_VARIABLE_316843 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316844 tptp.product_prod_int_int)) (= (ho_4599 (ho_6253 k_6254 BOUND_VARIABLE_316843) BOUND_VARIABLE_316844) (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_316844)) BOUND_VARIABLE_316843)))))) (let ((_let_11891 (forall ((BOUND_VARIABLE_316821 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316822 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_316822)) (ho_6219 (ho_6218 k_6217 k_4514) (ho_6260 (ho_6259 k_6258 k_4512) (ho_6257 (ho_6256 k_6255 k_5252) BOUND_VARIABLE_316821))))) (ho_4575 (ho_6221 k_6261 BOUND_VARIABLE_316821) BOUND_VARIABLE_316822))))) (let ((_let_11892 (forall ((BOUND_VARIABLE_316811 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316812 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_6262 BOUND_VARIABLE_316811) BOUND_VARIABLE_316812) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_316812)) BOUND_VARIABLE_316811)))))) (let ((_let_11893 (forall ((BOUND_VARIABLE_316800 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_316801 tptp.nat) (BOUND_VARIABLE_316802 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_6263 BOUND_VARIABLE_316800) BOUND_VARIABLE_316801) BOUND_VARIABLE_316802) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_316801) BOUND_VARIABLE_316802)) BOUND_VARIABLE_316800))))) (let ((_let_11894 (forall ((BOUND_VARIABLE_316778 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316779 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_316779)) (ho_6228 (ho_6227 k_6226 k_4494) (ho_6275 (ho_6274 k_6273 k_4492) (ho_6272 (ho_6271 k_6270 k_5254) BOUND_VARIABLE_316778))))) (ho_4544 (ho_5072 k_6276 BOUND_VARIABLE_316778) BOUND_VARIABLE_316779))))) (let ((_let_11895 (forall ((BOUND_VARIABLE_316768 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316769 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_6277 BOUND_VARIABLE_316768) BOUND_VARIABLE_316769) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_316769)) BOUND_VARIABLE_316768)))))) (let ((_let_11896 (forall ((BOUND_VARIABLE_316757 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_316758 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_316759 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_6278 BOUND_VARIABLE_316757) BOUND_VARIABLE_316758) BOUND_VARIABLE_316759) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_316758) BOUND_VARIABLE_316759)) BOUND_VARIABLE_316757))))) (let ((_let_11897 (forall ((BOUND_VARIABLE_316734 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316735 tptp.product_prod_int_int)) (= (ho_4540 k_5068 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_316735)) (ho_6251 (ho_6250 k_6249 k_4600) (ho_6248 (ho_6247 k_6246 k_6244) (ho_6243 (ho_6242 k_6241 k_5256) BOUND_VARIABLE_316734))))) (ho_4599 (ho_6253 k_6287 BOUND_VARIABLE_316734) BOUND_VARIABLE_316735))))) (let ((_let_11898 (forall ((BOUND_VARIABLE_316724 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316725 tptp.product_prod_int_int)) (= (ho_4599 (ho_6253 k_6288 BOUND_VARIABLE_316724) BOUND_VARIABLE_316725) (ho_4540 k_5068 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_316725)) BOUND_VARIABLE_316724)))))) (let ((_let_11899 (forall ((BOUND_VARIABLE_316702 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316703 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_316703)) (ho_6219 (ho_6218 k_6217 k_4514) (ho_6260 (ho_6259 k_6258 k_4512) (ho_6257 (ho_6256 k_6255 k_5257) BOUND_VARIABLE_316702))))) (ho_4575 (ho_6221 k_6289 BOUND_VARIABLE_316702) BOUND_VARIABLE_316703))))) (let ((_let_11900 (forall ((BOUND_VARIABLE_316692 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316693 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_6290 BOUND_VARIABLE_316692) BOUND_VARIABLE_316693) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_316693)) BOUND_VARIABLE_316692)))))) (let ((_let_11901 (forall ((BOUND_VARIABLE_316681 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_316682 tptp.nat) (BOUND_VARIABLE_316683 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_6291 BOUND_VARIABLE_316681) BOUND_VARIABLE_316682) BOUND_VARIABLE_316683) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_316682) BOUND_VARIABLE_316683)) BOUND_VARIABLE_316681))))) (let ((_let_11902 (forall ((BOUND_VARIABLE_316659 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316660 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_316660)) (ho_6228 (ho_6227 k_6226 k_4494) (ho_6275 (ho_6274 k_6273 k_4492) (ho_6272 (ho_6271 k_6270 k_5258) BOUND_VARIABLE_316659))))) (ho_4544 (ho_5072 k_6292 BOUND_VARIABLE_316659) BOUND_VARIABLE_316660))))) (let ((_let_11903 (forall ((BOUND_VARIABLE_316649 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316650 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5072 k_6293 BOUND_VARIABLE_316649) BOUND_VARIABLE_316650) (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_316650)) BOUND_VARIABLE_316649)))))) (let ((_let_11904 (forall ((BOUND_VARIABLE_316638 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_316639 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_316640 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_6294 BOUND_VARIABLE_316638) BOUND_VARIABLE_316639) BOUND_VARIABLE_316640) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_316639) BOUND_VARIABLE_316640)) BOUND_VARIABLE_316638))))) (let ((_let_11905 (forall ((BOUND_VARIABLE_358861 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_358860 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_316592 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 (ho_5142 k_5260 BOUND_VARIABLE_358861) BOUND_VARIABLE_358860) BOUND_VARIABLE_316592)) (ho_4524 (ho_4768 (ho_5950 k_6295 BOUND_VARIABLE_358861) BOUND_VARIABLE_358860) BOUND_VARIABLE_316592))))) (let ((_let_11906 (forall ((BOUND_VARIABLE_358876 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_316553 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5261 BOUND_VARIABLE_358876) BOUND_VARIABLE_316553)) (ho_4524 (ho_4768 k_6296 BOUND_VARIABLE_358876) BOUND_VARIABLE_316553))))) (let ((_let_11907 (forall ((BOUND_VARIABLE_358888 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_316515 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5262 BOUND_VARIABLE_358888) BOUND_VARIABLE_316515)) (ho_4524 (ho_4768 k_6297 BOUND_VARIABLE_358888) BOUND_VARIABLE_316515))))) (let ((_let_11908 (forall ((BOUND_VARIABLE_316478 tptp.set_nat) (BOUND_VARIABLE_316479 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5263 BOUND_VARIABLE_316479) BOUND_VARIABLE_316478)) (ho_4524 (ho_5287 k_6298 BOUND_VARIABLE_316478) BOUND_VARIABLE_316479))))) (let ((_let_11909 (forall ((BOUND_VARIABLE_316442 tptp.set_nat) (BOUND_VARIABLE_316443 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5264 BOUND_VARIABLE_316443) BOUND_VARIABLE_316442)) (ho_4524 (ho_5287 k_6299 BOUND_VARIABLE_316442) BOUND_VARIABLE_316443))))) (let ((_let_11910 (forall ((BOUND_VARIABLE_316406 tptp.set_nat) (BOUND_VARIABLE_316407 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5265 BOUND_VARIABLE_316407) BOUND_VARIABLE_316406)) (ho_4524 (ho_5287 k_6300 BOUND_VARIABLE_316406) BOUND_VARIABLE_316407))))) (let ((_let_11911 (forall ((BOUND_VARIABLE_358930 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_316369 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5266 BOUND_VARIABLE_358930) BOUND_VARIABLE_316369)) (ho_4524 (ho_4768 k_6301 BOUND_VARIABLE_358930) BOUND_VARIABLE_316369))))) (let ((_let_11912 (forall ((BOUND_VARIABLE_358942 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_316331 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5267 BOUND_VARIABLE_358942) BOUND_VARIABLE_316331)) (ho_4524 (ho_4768 k_6302 BOUND_VARIABLE_358942) BOUND_VARIABLE_316331))))) (let ((_let_11913 (forall ((BOUND_VARIABLE_358954 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_316293 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5268 BOUND_VARIABLE_358954) BOUND_VARIABLE_316293)) (ho_4524 (ho_4768 k_6303 BOUND_VARIABLE_358954) BOUND_VARIABLE_316293))))) (let ((_let_11914 (forall ((BOUND_VARIABLE_358969 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_316283 tptp.set_nat) (BOUND_VARIABLE_316284 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_6304 BOUND_VARIABLE_358969) BOUND_VARIABLE_316283) BOUND_VARIABLE_316284) (ho_4560 (ho_4559 k_5259 (ho_4639 BOUND_VARIABLE_358969 BOUND_VARIABLE_316284)) BOUND_VARIABLE_316283))))) (let ((_let_11915 (forall ((BOUND_VARIABLE_358983 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_316273 tptp.set_nat) (BOUND_VARIABLE_316274 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_5668 k_6305 BOUND_VARIABLE_358983) BOUND_VARIABLE_316273) BOUND_VARIABLE_316274) (ho_4560 (ho_4559 k_5259 (ho_4639 BOUND_VARIABLE_358983 BOUND_VARIABLE_316274)) BOUND_VARIABLE_316273))))) (let ((_let_11916 (forall ((BOUND_VARIABLE_358997 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_316263 tptp.set_int) (BOUND_VARIABLE_316264 tptp.nat)) (= (ho_5594 (ho_6144 (ho_6143 k_6306 BOUND_VARIABLE_358997) BOUND_VARIABLE_316263) BOUND_VARIABLE_316264) (ho_4913 (ho_4918 k_4951 (ho_5594 BOUND_VARIABLE_358997 BOUND_VARIABLE_316264)) BOUND_VARIABLE_316263))))) (let ((_let_11917 (forall ((BOUND_VARIABLE_359011 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_316253 tptp.set_int) (BOUND_VARIABLE_316254 tptp.nat)) (= (ho_5594 (ho_6144 (ho_6143 k_6307 BOUND_VARIABLE_359011) BOUND_VARIABLE_316253) BOUND_VARIABLE_316254) (ho_4913 (ho_4918 k_4951 (ho_5594 BOUND_VARIABLE_359011 BOUND_VARIABLE_316254)) BOUND_VARIABLE_316253))))) (let ((_let_11918 (forall ((BOUND_VARIABLE_359025 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_316243 tptp.set_int) (BOUND_VARIABLE_316244 Bool)) (= (ho_5598 (ho_6148 (ho_6147 k_6308 BOUND_VARIABLE_359025) BOUND_VARIABLE_316243) BOUND_VARIABLE_316244) (ho_4913 (ho_4918 k_4951 (ho_5598 BOUND_VARIABLE_359025 BOUND_VARIABLE_316244)) BOUND_VARIABLE_316243))))) (let ((_let_11919 (forall ((BOUND_VARIABLE_359039 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_316233 tptp.set_int) (BOUND_VARIABLE_316234 Bool)) (= (ho_5598 (ho_6148 (ho_6147 k_6309 BOUND_VARIABLE_359039) BOUND_VARIABLE_316233) BOUND_VARIABLE_316234) (ho_4913 (ho_4918 k_4951 (ho_5598 BOUND_VARIABLE_359039 BOUND_VARIABLE_316234)) BOUND_VARIABLE_316233))))) (let ((_let_11920 (forall ((BOUND_VARIABLE_359053 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_316223 tptp.set_int) (BOUND_VARIABLE_316224 tptp.product_unit)) (= (ho_6113 (ho_6152 (ho_6151 k_6310 BOUND_VARIABLE_359053) BOUND_VARIABLE_316223) BOUND_VARIABLE_316224) (ho_4913 (ho_4918 k_4951 (ho_6113 BOUND_VARIABLE_359053 BOUND_VARIABLE_316224)) BOUND_VARIABLE_316223))))) (let ((_let_11921 (forall ((BOUND_VARIABLE_359067 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_316213 tptp.set_int) (BOUND_VARIABLE_316214 tptp.product_unit)) (= (ho_6113 (ho_6152 (ho_6151 k_6311 BOUND_VARIABLE_359067) BOUND_VARIABLE_316213) BOUND_VARIABLE_316214) (ho_4913 (ho_4918 k_4951 (ho_6113 BOUND_VARIABLE_359067 BOUND_VARIABLE_316214)) BOUND_VARIABLE_316213))))) (let ((_let_11922 (forall ((BOUND_VARIABLE_316202 tptp.set_nat) (BOUND_VARIABLE_359081 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_316204 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_6312 BOUND_VARIABLE_316202) BOUND_VARIABLE_359081) BOUND_VARIABLE_316204) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_316202) (ho_4639 BOUND_VARIABLE_359081 BOUND_VARIABLE_316204)))))) (let ((_let_11923 (forall ((BOUND_VARIABLE_316192 tptp.set_nat) (BOUND_VARIABLE_359095 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_316194 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_5632 k_6313 BOUND_VARIABLE_316192) BOUND_VARIABLE_359095) BOUND_VARIABLE_316194) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_316192) (ho_4639 BOUND_VARIABLE_359095 BOUND_VARIABLE_316194)))))) (let ((_let_11924 (forall ((BOUND_VARIABLE_316182 tptp.set_int) (BOUND_VARIABLE_359109 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_316184 tptp.nat)) (= (ho_5594 (ho_5613 (ho_6157 k_6314 BOUND_VARIABLE_316182) BOUND_VARIABLE_359109) BOUND_VARIABLE_316184) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_316182) (ho_5594 BOUND_VARIABLE_359109 BOUND_VARIABLE_316184)))))) (let ((_let_11925 (forall ((BOUND_VARIABLE_316172 tptp.set_int) (BOUND_VARIABLE_359123 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_316174 tptp.nat)) (= (ho_5594 (ho_5613 (ho_6157 k_6315 BOUND_VARIABLE_316172) BOUND_VARIABLE_359123) BOUND_VARIABLE_316174) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_316172) (ho_5594 BOUND_VARIABLE_359123 BOUND_VARIABLE_316174)))))) (let ((_let_11926 (forall ((BOUND_VARIABLE_316162 tptp.set_int) (BOUND_VARIABLE_359137 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_316164 Bool)) (= (ho_5598 (ho_5616 (ho_6160 k_6316 BOUND_VARIABLE_316162) BOUND_VARIABLE_359137) BOUND_VARIABLE_316164) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_316162) (ho_5598 BOUND_VARIABLE_359137 BOUND_VARIABLE_316164)))))) (let ((_let_11927 (forall ((BOUND_VARIABLE_316152 tptp.set_int) (BOUND_VARIABLE_359151 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_316154 Bool)) (= (ho_5598 (ho_5616 (ho_6160 k_6317 BOUND_VARIABLE_316152) BOUND_VARIABLE_359151) BOUND_VARIABLE_316154) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_316152) (ho_5598 BOUND_VARIABLE_359151 BOUND_VARIABLE_316154)))))) (let ((_let_11928 (forall ((BOUND_VARIABLE_316142 tptp.set_int) (BOUND_VARIABLE_359165 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_316144 tptp.product_unit)) (= (ho_6113 (ho_6120 (ho_6163 k_6318 BOUND_VARIABLE_316142) BOUND_VARIABLE_359165) BOUND_VARIABLE_316144) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_316142) (ho_6113 BOUND_VARIABLE_359165 BOUND_VARIABLE_316144)))))) (let ((_let_11929 (forall ((BOUND_VARIABLE_316132 tptp.set_int) (BOUND_VARIABLE_359179 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_316134 tptp.product_unit)) (= (ho_6113 (ho_6120 (ho_6163 k_6319 BOUND_VARIABLE_316132) BOUND_VARIABLE_359179) BOUND_VARIABLE_316134) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_316132) (ho_6113 BOUND_VARIABLE_359179 BOUND_VARIABLE_316134)))))) (let ((_let_11930 (forall ((BOUND_VARIABLE_316096 tptp.set_int) (BOUND_VARIABLE_316097 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5269 BOUND_VARIABLE_316097) BOUND_VARIABLE_316096)) (ho_4610 (ho_5575 k_6320 BOUND_VARIABLE_316096) BOUND_VARIABLE_316097))))) (let ((_let_11931 (forall ((BOUND_VARIABLE_316060 tptp.set_nat) (BOUND_VARIABLE_316061 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5270 BOUND_VARIABLE_316061) BOUND_VARIABLE_316060)) (ho_4524 (ho_5287 k_6321 BOUND_VARIABLE_316060) BOUND_VARIABLE_316061))))) (let ((_let_11932 (forall ((BOUND_VARIABLE_316024 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316025 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5271 BOUND_VARIABLE_316025) BOUND_VARIABLE_316024)) (ho_4504 (ho_4685 k_6322 BOUND_VARIABLE_316024) BOUND_VARIABLE_316025))))) (let ((_let_11933 (forall ((BOUND_VARIABLE_316014 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_316015 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6323 BOUND_VARIABLE_316014) BOUND_VARIABLE_316015) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_316014) BOUND_VARIABLE_316015)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_11934 (forall ((BOUND_VARIABLE_316008 tptp.set_nat) (BOUND_VARIABLE_316009 tptp.product_unit)) (= BOUND_VARIABLE_316008 (ho_4639 (ho_5669 k_6329 BOUND_VARIABLE_316008) BOUND_VARIABLE_316009))))) (let ((_let_11935 (forall ((BOUND_VARIABLE_316002 tptp.set_nat) (BOUND_VARIABLE_316003 tptp.product_unit)) (= BOUND_VARIABLE_316002 (ho_4639 (ho_5669 k_6330 BOUND_VARIABLE_316002) BOUND_VARIABLE_316003))))) (let ((_let_11936 (forall ((BOUND_VARIABLE_315996 tptp.set_nat) (BOUND_VARIABLE_315997 tptp.product_unit)) (= BOUND_VARIABLE_315996 (ho_4639 (ho_5669 k_6331 BOUND_VARIABLE_315996) BOUND_VARIABLE_315997))))) (let ((_let_11937 (forall ((BOUND_VARIABLE_315990 tptp.set_nat) (BOUND_VARIABLE_315991 tptp.product_unit)) (= BOUND_VARIABLE_315990 (ho_4639 (ho_5669 k_6332 BOUND_VARIABLE_315990) BOUND_VARIABLE_315991))))) (let ((_let_11938 (forall ((BOUND_VARIABLE_315984 tptp.set_o) (BOUND_VARIABLE_315985 tptp.nat)) (= BOUND_VARIABLE_315984 (ho_6011 (ho_6014 k_6333 BOUND_VARIABLE_315984) BOUND_VARIABLE_315985))))) (let ((_let_11939 (forall ((BOUND_VARIABLE_315978 tptp.set_o) (BOUND_VARIABLE_315979 tptp.nat)) (= BOUND_VARIABLE_315978 (ho_6011 (ho_6014 k_6334 BOUND_VARIABLE_315978) BOUND_VARIABLE_315979))))) (let ((_let_11940 (forall ((BOUND_VARIABLE_315972 tptp.set_o) (BOUND_VARIABLE_315973 Bool)) (= BOUND_VARIABLE_315972 (ho_6018 (ho_6021 k_6335 BOUND_VARIABLE_315972) BOUND_VARIABLE_315973))))) (let ((_let_11941 (forall ((BOUND_VARIABLE_315966 tptp.set_o) (BOUND_VARIABLE_315967 Bool)) (= BOUND_VARIABLE_315966 (ho_6018 (ho_6021 k_6336 BOUND_VARIABLE_315966) BOUND_VARIABLE_315967))))) (let ((_let_11942 (forall ((BOUND_VARIABLE_315960 tptp.set_o) (BOUND_VARIABLE_315961 tptp.product_unit)) (= BOUND_VARIABLE_315960 (ho_6023 (ho_6026 k_6337 BOUND_VARIABLE_315960) BOUND_VARIABLE_315961))))) (let ((_let_11943 (forall ((BOUND_VARIABLE_315954 tptp.set_o) (BOUND_VARIABLE_315955 tptp.product_unit)) (= BOUND_VARIABLE_315954 (ho_6023 (ho_6026 k_6338 BOUND_VARIABLE_315954) BOUND_VARIABLE_315955))))) (let ((_let_11944 (forall ((BOUND_VARIABLE_315948 tptp.set_int) (BOUND_VARIABLE_315949 tptp.product_unit)) (= BOUND_VARIABLE_315948 (ho_6113 (ho_6152 k_6339 BOUND_VARIABLE_315948) BOUND_VARIABLE_315949))))) (let ((_let_11945 (forall ((BOUND_VARIABLE_315942 tptp.set_int) (BOUND_VARIABLE_315943 tptp.product_unit)) (= BOUND_VARIABLE_315942 (ho_6113 (ho_6152 k_6340 BOUND_VARIABLE_315942) BOUND_VARIABLE_315943))))) (let ((_let_11946 (forall ((BOUND_VARIABLE_359328 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315917 tptp.set_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_4761 k_5272 BOUND_VARIABLE_359328) BOUND_VARIABLE_315917)) (ho_4560 (ho_6342 k_6341 BOUND_VARIABLE_359328) BOUND_VARIABLE_315917))))) (let ((_let_11947 (forall ((BOUND_VARIABLE_315906 tptp.set_set_nat) (BOUND_VARIABLE_315907 tptp.nat)) (= (ho_4593 (ho_5067 k_6343 BOUND_VARIABLE_315906) BOUND_VARIABLE_315907) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_315907)) BOUND_VARIABLE_315906)))))) (let ((_let_11948 (forall ((BOUND_VARIABLE_315896 tptp.set_set_nat) (BOUND_VARIABLE_315897 tptp.nat)) (= (ho_4593 (ho_5067 k_6344 BOUND_VARIABLE_315896) BOUND_VARIABLE_315897) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_315897)) BOUND_VARIABLE_315896)))))) (let ((_let_11949 (forall ((BOUND_VARIABLE_315886 tptp.set_set_int) (BOUND_VARIABLE_315887 tptp.int)) (= (ho_5218 (ho_6198 k_6345 BOUND_VARIABLE_315886) BOUND_VARIABLE_315887) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_315887)) BOUND_VARIABLE_315886)))))) (let ((_let_11950 (forall ((BOUND_VARIABLE_359381 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_359380 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_315879 tptp.int)) (= (ho_4946 (ho_6348 (ho_6347 k_6346 BOUND_VARIABLE_359381) BOUND_VARIABLE_359380) BOUND_VARIABLE_315879) (ho_4946 BOUND_VARIABLE_359381 (ho_4914 BOUND_VARIABLE_359380 BOUND_VARIABLE_315879)))))) (let ((_let_11951 (forall ((BOUND_VARIABLE_359403 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_359402 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_315870 tptp.int)) (= (ho_4946 (ho_6351 (ho_6350 k_6349 BOUND_VARIABLE_359403) BOUND_VARIABLE_359402) BOUND_VARIABLE_315870) (ho_4551 BOUND_VARIABLE_359403 (ho_4891 BOUND_VARIABLE_359402 BOUND_VARIABLE_315870)))))) (let ((_let_11952 (forall ((BOUND_VARIABLE_359425 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_359424 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_315861 tptp.nat)) (= (ho_4551 (ho_6354 (ho_6353 k_6352 BOUND_VARIABLE_359425) BOUND_VARIABLE_359424) BOUND_VARIABLE_315861) (ho_4946 BOUND_VARIABLE_359425 (ho_4925 BOUND_VARIABLE_359424 BOUND_VARIABLE_315861)))))) (let ((_let_11953 (forall ((BOUND_VARIABLE_359447 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_359446 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_315852 tptp.nat)) (= (ho_4551 (ho_4859 (ho_6356 k_6355 BOUND_VARIABLE_359447) BOUND_VARIABLE_359446) BOUND_VARIABLE_315852) (ho_4551 BOUND_VARIABLE_359447 (ho_4855 BOUND_VARIABLE_359446 BOUND_VARIABLE_315852)))))) (let ((_let_11954 (forall ((BOUND_VARIABLE_359469 |u_(-> tptp.rat tptp.set_nat)|) (BOUND_VARIABLE_359465 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_315843 tptp.nat)) (= (ho_4551 (ho_6361 (ho_6360 k_6359 BOUND_VARIABLE_359469) BOUND_VARIABLE_359465) BOUND_VARIABLE_315843) (ho_6358 BOUND_VARIABLE_359469 (ho_6357 BOUND_VARIABLE_359465 BOUND_VARIABLE_315843)))))) (let ((_let_11955 (forall ((BOUND_VARIABLE_359493 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_359492 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_315834 tptp.int)) (= (ho_4946 (ho_6348 (ho_6347 k_6362 BOUND_VARIABLE_359493) BOUND_VARIABLE_359492) BOUND_VARIABLE_315834) (ho_4946 BOUND_VARIABLE_359493 (ho_4914 BOUND_VARIABLE_359492 BOUND_VARIABLE_315834)))))) (let ((_let_11956 (forall ((BOUND_VARIABLE_359507 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_359506 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_315825 tptp.int)) (= (ho_4946 (ho_6351 (ho_6350 k_6363 BOUND_VARIABLE_359507) BOUND_VARIABLE_359506) BOUND_VARIABLE_315825) (ho_4551 BOUND_VARIABLE_359507 (ho_4891 BOUND_VARIABLE_359506 BOUND_VARIABLE_315825)))))) (let ((_let_11957 (forall ((BOUND_VARIABLE_359521 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_359520 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_315816 tptp.nat)) (= (ho_4551 (ho_6354 (ho_6353 k_6364 BOUND_VARIABLE_359521) BOUND_VARIABLE_359520) BOUND_VARIABLE_315816) (ho_4946 BOUND_VARIABLE_359521 (ho_4925 BOUND_VARIABLE_359520 BOUND_VARIABLE_315816)))))) (let ((_let_11958 (forall ((BOUND_VARIABLE_359535 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_359534 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_315807 tptp.nat)) (= (ho_4551 (ho_4859 (ho_6356 k_6365 BOUND_VARIABLE_359535) BOUND_VARIABLE_359534) BOUND_VARIABLE_315807) (ho_4551 BOUND_VARIABLE_359535 (ho_4855 BOUND_VARIABLE_359534 BOUND_VARIABLE_315807)))))) (let ((_let_11959 (forall ((BOUND_VARIABLE_359549 |u_(-> tptp.rat tptp.set_nat)|) (BOUND_VARIABLE_359548 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_315798 tptp.nat)) (= (ho_4551 (ho_6361 (ho_6360 k_6366 BOUND_VARIABLE_359549) BOUND_VARIABLE_359548) BOUND_VARIABLE_315798) (ho_6358 BOUND_VARIABLE_359549 (ho_6357 BOUND_VARIABLE_359548 BOUND_VARIABLE_315798)))))) (let ((_let_11960 (forall ((BOUND_VARIABLE_359559 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_315785 tptp.int)) (= (ho_4560 (ho_4854 k_4853 (ho_4891 BOUND_VARIABLE_359559 BOUND_VARIABLE_315785)) (ho_4845 k_4844 k_4852)) (ho_4946 (ho_6351 k_6367 BOUND_VARIABLE_359559) BOUND_VARIABLE_315785))))) (let ((_let_11961 (forall ((BOUND_VARIABLE_359571 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_315773 tptp.nat)) (= (ho_4560 (ho_4854 k_4853 (ho_4855 BOUND_VARIABLE_359571 BOUND_VARIABLE_315773)) (ho_4845 k_4844 k_4852)) (ho_4551 (ho_4859 k_6368 BOUND_VARIABLE_359571) BOUND_VARIABLE_315773))))) (let ((_let_11962 (forall ((BOUND_VARIABLE_359585 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_315764 tptp.int)) (= (ho_4896 (ho_6370 k_6369 BOUND_VARIABLE_359585) BOUND_VARIABLE_315764) (ho_4913 (ho_4912 k_4911 (ho_4914 BOUND_VARIABLE_359585 BOUND_VARIABLE_315764)) tptp.bot_bot_set_int))))) (let ((_let_11963 (forall ((BOUND_VARIABLE_359601 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_315755 tptp.nat)) (= (ho_5594 (ho_6372 k_6371 BOUND_VARIABLE_359601) BOUND_VARIABLE_315755) (ho_4913 (ho_4912 k_4911 (ho_4925 BOUND_VARIABLE_359601 BOUND_VARIABLE_315755)) tptp.bot_bot_set_int))))) (let ((_let_11964 (forall ((BOUND_VARIABLE_315736 tptp.set_nat) (BOUND_VARIABLE_315737 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_315737)) (ho_4565 (ho_4564 k_4563 k_5273) BOUND_VARIABLE_315736))) (ho_4575 (ho_4758 k_6373 BOUND_VARIABLE_315736) BOUND_VARIABLE_315737))))) (let ((_let_11965 (forall ((BOUND_VARIABLE_359628 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315711 tptp.set_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_4761 k_5274 BOUND_VARIABLE_359628) BOUND_VARIABLE_315711)) (ho_4560 (ho_6342 k_6374 BOUND_VARIABLE_359628) BOUND_VARIABLE_315711))))) (let ((_let_11966 (forall ((BOUND_VARIABLE_315700 tptp.set_set_nat) (BOUND_VARIABLE_315701 tptp.nat)) (= (ho_4593 (ho_5067 k_6375 BOUND_VARIABLE_315700) BOUND_VARIABLE_315701) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_315701)) BOUND_VARIABLE_315700)))))) (let ((_let_11967 (forall ((BOUND_VARIABLE_315664 tptp.set_int) (BOUND_VARIABLE_315665 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5275 BOUND_VARIABLE_315665) BOUND_VARIABLE_315664)) (ho_4610 (ho_5575 k_6376 BOUND_VARIABLE_315664) BOUND_VARIABLE_315665))))) (let ((_let_11968 (forall ((BOUND_VARIABLE_315628 tptp.set_nat) (BOUND_VARIABLE_315629 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5276 BOUND_VARIABLE_315629) BOUND_VARIABLE_315628)) (ho_4524 (ho_5287 k_6377 BOUND_VARIABLE_315628) BOUND_VARIABLE_315629))))) (let ((_let_11969 (forall ((BOUND_VARIABLE_315592 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_315593 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5277 BOUND_VARIABLE_315593) BOUND_VARIABLE_315592)) (ho_4504 (ho_4685 k_6378 BOUND_VARIABLE_315592) BOUND_VARIABLE_315593))))) (let ((_let_11970 (forall ((BOUND_VARIABLE_315582 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_315583 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6379 BOUND_VARIABLE_315582) BOUND_VARIABLE_315583) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_315582) BOUND_VARIABLE_315583)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_11971 (forall ((BOUND_VARIABLE_315546 tptp.set_int) (BOUND_VARIABLE_315547 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5278 BOUND_VARIABLE_315547) BOUND_VARIABLE_315546)) (ho_4610 (ho_5575 k_6380 BOUND_VARIABLE_315546) BOUND_VARIABLE_315547))))) (let ((_let_11972 (forall ((BOUND_VARIABLE_315510 tptp.set_nat) (BOUND_VARIABLE_315511 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5279 BOUND_VARIABLE_315511) BOUND_VARIABLE_315510)) (ho_4524 (ho_5287 k_6381 BOUND_VARIABLE_315510) BOUND_VARIABLE_315511))))) (let ((_let_11973 (forall ((BOUND_VARIABLE_315474 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_315475 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5280 BOUND_VARIABLE_315475) BOUND_VARIABLE_315474)) (ho_4504 (ho_4685 k_6382 BOUND_VARIABLE_315474) BOUND_VARIABLE_315475))))) (let ((_let_11974 (forall ((BOUND_VARIABLE_315464 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_315465 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6383 BOUND_VARIABLE_315464) BOUND_VARIABLE_315465) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_315464) BOUND_VARIABLE_315465)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_11975 (forall ((BOUND_VARIABLE_315428 tptp.set_int) (BOUND_VARIABLE_315429 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5281 BOUND_VARIABLE_315429) BOUND_VARIABLE_315428)) (ho_4610 (ho_5575 k_6384 BOUND_VARIABLE_315428) BOUND_VARIABLE_315429))))) (let ((_let_11976 (forall ((BOUND_VARIABLE_315392 tptp.set_nat) (BOUND_VARIABLE_315393 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5282 BOUND_VARIABLE_315393) BOUND_VARIABLE_315392)) (ho_4524 (ho_5287 k_6385 BOUND_VARIABLE_315392) BOUND_VARIABLE_315393))))) (let ((_let_11977 (forall ((BOUND_VARIABLE_315356 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_315357 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5283 BOUND_VARIABLE_315357) BOUND_VARIABLE_315356)) (ho_4504 (ho_4685 k_6386 BOUND_VARIABLE_315356) BOUND_VARIABLE_315357))))) (let ((_let_11978 (forall ((BOUND_VARIABLE_315346 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_315347 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6387 BOUND_VARIABLE_315346) BOUND_VARIABLE_315347) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_315346) BOUND_VARIABLE_315347)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_11979 (forall ((BOUND_VARIABLE_359775 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_359774 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315299 tptp.nat) (BOUND_VARIABLE_315300 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 (ho_4572 (ho_5285 k_5284 BOUND_VARIABLE_359775) BOUND_VARIABLE_315300) BOUND_VARIABLE_359774) BOUND_VARIABLE_315299)) (ho_4524 (ho_4523 (ho_4755 (ho_6389 k_6388 BOUND_VARIABLE_359775) BOUND_VARIABLE_359774) BOUND_VARIABLE_315299) BOUND_VARIABLE_315300))))) (let ((_let_11980 (forall ((BOUND_VARIABLE_315262 tptp.set_nat) (BOUND_VARIABLE_315263 tptp.set_nat) (BOUND_VARIABLE_315264 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_315264)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5286 BOUND_VARIABLE_315262)) BOUND_VARIABLE_315263))) (ho_4575 (ho_4758 (ho_5149 k_6390 BOUND_VARIABLE_315262) BOUND_VARIABLE_315263) BOUND_VARIABLE_315264))))) (let ((_let_11981 (forall ((BOUND_VARIABLE_359813 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315211 tptp.set_nat) (BOUND_VARIABLE_315212 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_5290 (ho_5289 k_5288 BOUND_VARIABLE_315212) BOUND_VARIABLE_359813) BOUND_VARIABLE_315211)) (ho_4524 (ho_5287 (ho_6392 k_6391 BOUND_VARIABLE_359813) BOUND_VARIABLE_315211) BOUND_VARIABLE_315212))))) (let ((_let_11982 (forall ((BOUND_VARIABLE_359835 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315198 tptp.set_nat) (BOUND_VARIABLE_315199 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_6393 BOUND_VARIABLE_359835) BOUND_VARIABLE_315198) BOUND_VARIABLE_315199) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_315199)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_359835) BOUND_VARIABLE_315198))))))) (let ((_let_11983 (forall ((BOUND_VARIABLE_315187 tptp.product_prod_nat_nat) (BOUND_VARIABLE_359852 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_315189 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_6395 k_6394 BOUND_VARIABLE_315187) BOUND_VARIABLE_359852) BOUND_VARIABLE_315189) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_315187) (ho_5651 BOUND_VARIABLE_359852 BOUND_VARIABLE_315189)))))) (let ((_let_11984 (forall ((BOUND_VARIABLE_315177 tptp.nat) (BOUND_VARIABLE_359870 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315179 tptp.nat)) (= (ho_4551 (ho_5621 (ho_6397 k_6396 BOUND_VARIABLE_315177) BOUND_VARIABLE_359870) BOUND_VARIABLE_315179) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_315177) (ho_4551 BOUND_VARIABLE_359870 BOUND_VARIABLE_315179)))))) (let ((_let_11985 (forall ((BOUND_VARIABLE_315167 tptp.nat) (BOUND_VARIABLE_359888 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_315169 Bool)) (= (ho_4556 (ho_5624 (ho_6399 k_6398 BOUND_VARIABLE_315167) BOUND_VARIABLE_359888) BOUND_VARIABLE_315169) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_315167) (ho_4556 BOUND_VARIABLE_359888 BOUND_VARIABLE_315169)))))) (let ((_let_11986 (forall ((BOUND_VARIABLE_315157 tptp.nat) (BOUND_VARIABLE_359906 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_315159 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_6401 k_6400 BOUND_VARIABLE_315157) BOUND_VARIABLE_359906) BOUND_VARIABLE_315159) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_315157) (ho_4639 BOUND_VARIABLE_359906 BOUND_VARIABLE_315159)))))) (let ((_let_11987 (forall ((BOUND_VARIABLE_315147 Bool) (BOUND_VARIABLE_359924 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_315149 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6403 k_6402 BOUND_VARIABLE_315147) BOUND_VARIABLE_359924) BOUND_VARIABLE_315149) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_315147) (ho_6011 BOUND_VARIABLE_359924 BOUND_VARIABLE_315149)))))) (let ((_let_11988 (forall ((BOUND_VARIABLE_315137 Bool) (BOUND_VARIABLE_359942 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_315139 Bool)) (= (ho_6018 (ho_6045 (ho_6405 k_6404 BOUND_VARIABLE_315137) BOUND_VARIABLE_359942) BOUND_VARIABLE_315139) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_315137) (ho_6018 BOUND_VARIABLE_359942 BOUND_VARIABLE_315139)))))) (let ((_let_11989 (forall ((BOUND_VARIABLE_315127 Bool) (BOUND_VARIABLE_359960 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_315129 tptp.product_unit)) (= (ho_6023 (ho_6049 (ho_6407 k_6406 BOUND_VARIABLE_315127) BOUND_VARIABLE_359960) BOUND_VARIABLE_315129) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_315127) (ho_6023 BOUND_VARIABLE_359960 BOUND_VARIABLE_315129)))))) (let ((_let_11990 (forall ((BOUND_VARIABLE_359975 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315090 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5291 BOUND_VARIABLE_359975) BOUND_VARIABLE_315090)) (ho_4524 (ho_4768 k_6408 BOUND_VARIABLE_359975) BOUND_VARIABLE_315090))))) (let ((_let_11991 (forall ((BOUND_VARIABLE_315079 tptp.set_set_nat) (BOUND_VARIABLE_315080 tptp.nat)) (= (ho_4593 (ho_5067 k_6409 BOUND_VARIABLE_315079) BOUND_VARIABLE_315080) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_315080)) BOUND_VARIABLE_315079)))))) (let ((_let_11992 (forall ((BOUND_VARIABLE_359998 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315040 tptp.set_nat)) (= (ho_4515 k_4514 (ho_4758 (ho_5290 k_5292 BOUND_VARIABLE_359998) BOUND_VARIABLE_315040)) (ho_6412 (ho_6411 k_6410 BOUND_VARIABLE_359998) BOUND_VARIABLE_315040))))) (let ((_let_11993 (forall ((BOUND_VARIABLE_315029 tptp.nat) (BOUND_VARIABLE_360020 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_315031 tptp.int)) (= (ho_4946 (ho_6415 (ho_6414 k_6413 BOUND_VARIABLE_315029) BOUND_VARIABLE_360020) BOUND_VARIABLE_315031) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_315029) (ho_4946 BOUND_VARIABLE_360020 BOUND_VARIABLE_315031)))))) (let ((_let_11994 (forall ((BOUND_VARIABLE_315019 tptp.nat) (BOUND_VARIABLE_360041 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_315021 tptp.nat)) (= (ho_4551 (ho_5621 (ho_6397 k_6416 BOUND_VARIABLE_315019) BOUND_VARIABLE_360041) BOUND_VARIABLE_315021) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_315019) (ho_4551 BOUND_VARIABLE_360041 BOUND_VARIABLE_315021)))))) (let ((_let_11995 (forall ((BOUND_VARIABLE_315009 tptp.nat) (BOUND_VARIABLE_360055 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_315011 Bool)) (= (ho_4556 (ho_5624 (ho_6399 k_6417 BOUND_VARIABLE_315009) BOUND_VARIABLE_360055) BOUND_VARIABLE_315011) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_315009) (ho_4556 BOUND_VARIABLE_360055 BOUND_VARIABLE_315011)))))) (let ((_let_11996 (forall ((BOUND_VARIABLE_314999 Bool) (BOUND_VARIABLE_360069 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_315001 tptp.int)) (= (ho_6121 (ho_6420 (ho_6419 k_6418 BOUND_VARIABLE_314999) BOUND_VARIABLE_360069) BOUND_VARIABLE_315001) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314999) (ho_6121 BOUND_VARIABLE_360069 BOUND_VARIABLE_315001)))))) (let ((_let_11997 (forall ((BOUND_VARIABLE_314989 Bool) (BOUND_VARIABLE_360090 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_314991 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6403 k_6421 BOUND_VARIABLE_314989) BOUND_VARIABLE_360090) BOUND_VARIABLE_314991) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314989) (ho_6011 BOUND_VARIABLE_360090 BOUND_VARIABLE_314991)))))) (let ((_let_11998 (forall ((BOUND_VARIABLE_314979 Bool) (BOUND_VARIABLE_360104 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_314981 Bool)) (= (ho_6018 (ho_6045 (ho_6405 k_6422 BOUND_VARIABLE_314979) BOUND_VARIABLE_360104) BOUND_VARIABLE_314981) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314979) (ho_6018 BOUND_VARIABLE_360104 BOUND_VARIABLE_314981)))))) (let ((_let_11999 (forall ((BOUND_VARIABLE_314969 tptp.nat) (BOUND_VARIABLE_360118 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_314971 tptp.int)) (= (ho_4946 (ho_6415 (ho_6414 k_6423 BOUND_VARIABLE_314969) BOUND_VARIABLE_360118) BOUND_VARIABLE_314971) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314969) (ho_4946 BOUND_VARIABLE_360118 BOUND_VARIABLE_314971)))))) (let ((_let_12000 (forall ((BOUND_VARIABLE_314959 tptp.nat) (BOUND_VARIABLE_360132 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_314961 tptp.nat)) (= (ho_4551 (ho_5621 (ho_6397 k_6424 BOUND_VARIABLE_314959) BOUND_VARIABLE_360132) BOUND_VARIABLE_314961) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314959) (ho_4551 BOUND_VARIABLE_360132 BOUND_VARIABLE_314961)))))) (let ((_let_12001 (forall ((BOUND_VARIABLE_314949 tptp.nat) (BOUND_VARIABLE_360146 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_314951 Bool)) (= (ho_4556 (ho_5624 (ho_6399 k_6425 BOUND_VARIABLE_314949) BOUND_VARIABLE_360146) BOUND_VARIABLE_314951) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314949) (ho_4556 BOUND_VARIABLE_360146 BOUND_VARIABLE_314951)))))) (let ((_let_12002 (forall ((BOUND_VARIABLE_314939 Bool) (BOUND_VARIABLE_360160 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_314941 tptp.int)) (= (ho_6121 (ho_6420 (ho_6419 k_6426 BOUND_VARIABLE_314939) BOUND_VARIABLE_360160) BOUND_VARIABLE_314941) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314939) (ho_6121 BOUND_VARIABLE_360160 BOUND_VARIABLE_314941)))))) (let ((_let_12003 (forall ((BOUND_VARIABLE_314929 Bool) (BOUND_VARIABLE_360174 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_314931 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6403 k_6427 BOUND_VARIABLE_314929) BOUND_VARIABLE_360174) BOUND_VARIABLE_314931) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314929) (ho_6011 BOUND_VARIABLE_360174 BOUND_VARIABLE_314931)))))) (let ((_let_12004 (forall ((BOUND_VARIABLE_314919 Bool) (BOUND_VARIABLE_360188 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_314921 Bool)) (= (ho_6018 (ho_6045 (ho_6405 k_6428 BOUND_VARIABLE_314919) BOUND_VARIABLE_360188) BOUND_VARIABLE_314921) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314919) (ho_6018 BOUND_VARIABLE_360188 BOUND_VARIABLE_314921)))))) (let ((_let_12005 (forall ((BOUND_VARIABLE_314879 tptp.nat) (BOUND_VARIABLE_314880 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4847 k_5293 BOUND_VARIABLE_314880) BOUND_VARIABLE_314879)) (ho_4524 (ho_4523 k_6429 BOUND_VARIABLE_314879) BOUND_VARIABLE_314880))))) (let ((_let_12006 (forall ((BOUND_VARIABLE_314838 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_314839 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_5297 k_5296 BOUND_VARIABLE_314839) BOUND_VARIABLE_314838)) (ho_4504 (ho_4503 k_6430 BOUND_VARIABLE_314838) BOUND_VARIABLE_314839))))) (let ((_let_12007 (forall ((BOUND_VARIABLE_314798 tptp.int) (BOUND_VARIABLE_314799 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_5299 k_5298 BOUND_VARIABLE_314799) BOUND_VARIABLE_314798)) (ho_4610 (ho_4609 k_6431 BOUND_VARIABLE_314798) BOUND_VARIABLE_314799))))) (let ((_let_12008 (forall ((BOUND_VARIABLE_314788 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_314789 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6432 BOUND_VARIABLE_314788) BOUND_VARIABLE_314789) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_314788) BOUND_VARIABLE_314789)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_12009 (forall ((BOUND_VARIABLE_314778 tptp.nat)) (= (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314778) (ho_4845 k_4844 k_4852)) (ho_4551 k_6433 BOUND_VARIABLE_314778))))) (let ((_let_12010 (forall ((BOUND_VARIABLE_314771 Bool)) (= (ho_6018 k_6434 BOUND_VARIABLE_314771) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314771) tptp.bot_bot_set_o))))) (let ((_let_12011 (forall ((BOUND_VARIABLE_314761 tptp.product_prod_nat_nat)) (= (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_314761) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))) (ho_5643 k_6435 BOUND_VARIABLE_314761))))) (let ((_let_12012 (forall ((BOUND_VARIABLE_314751 tptp.produc3843707927480180839at_nat)) (= (ho_4501 (ho_4500 k_4499 BOUND_VARIABLE_314751) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_5121 k_6436 BOUND_VARIABLE_314751))))) (let ((_let_12013 (forall ((BOUND_VARIABLE_314741 tptp.product_prod_nat_nat) (BOUND_VARIABLE_360271 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_314743 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_6395 k_6437 BOUND_VARIABLE_314741) BOUND_VARIABLE_360271) BOUND_VARIABLE_314743) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_314741) (ho_5651 BOUND_VARIABLE_360271 BOUND_VARIABLE_314743)))))) (let ((_let_12014 (forall ((BOUND_VARIABLE_314731 tptp.product_prod_nat_nat) (BOUND_VARIABLE_360285 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_314733 tptp.product_unit)) (= (ho_5651 (ho_5654 (ho_6395 k_6438 BOUND_VARIABLE_314731) BOUND_VARIABLE_360285) BOUND_VARIABLE_314733) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_314731) (ho_5651 BOUND_VARIABLE_360285 BOUND_VARIABLE_314733)))))) (let ((_let_12015 (forall ((BOUND_VARIABLE_314721 tptp.nat) (BOUND_VARIABLE_360299 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_314723 tptp.nat)) (= (ho_4551 (ho_5621 (ho_6397 k_6439 BOUND_VARIABLE_314721) BOUND_VARIABLE_360299) BOUND_VARIABLE_314723) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314721) (ho_4551 BOUND_VARIABLE_360299 BOUND_VARIABLE_314723)))))) (let ((_let_12016 (forall ((BOUND_VARIABLE_314711 tptp.nat) (BOUND_VARIABLE_360313 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_314713 tptp.nat)) (= (ho_4551 (ho_5621 (ho_6397 k_6440 BOUND_VARIABLE_314711) BOUND_VARIABLE_360313) BOUND_VARIABLE_314713) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314711) (ho_4551 BOUND_VARIABLE_360313 BOUND_VARIABLE_314713)))))) (let ((_let_12017 (forall ((BOUND_VARIABLE_314701 tptp.nat) (BOUND_VARIABLE_360327 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_314703 Bool)) (= (ho_4556 (ho_5624 (ho_6399 k_6441 BOUND_VARIABLE_314701) BOUND_VARIABLE_360327) BOUND_VARIABLE_314703) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314701) (ho_4556 BOUND_VARIABLE_360327 BOUND_VARIABLE_314703)))))) (let ((_let_12018 (forall ((BOUND_VARIABLE_314691 tptp.nat) (BOUND_VARIABLE_360341 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_314693 Bool)) (= (ho_4556 (ho_5624 (ho_6399 k_6442 BOUND_VARIABLE_314691) BOUND_VARIABLE_360341) BOUND_VARIABLE_314693) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314691) (ho_4556 BOUND_VARIABLE_360341 BOUND_VARIABLE_314693)))))) (let ((_let_12019 (forall ((BOUND_VARIABLE_314681 tptp.nat) (BOUND_VARIABLE_360355 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_314683 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_6401 k_6443 BOUND_VARIABLE_314681) BOUND_VARIABLE_360355) BOUND_VARIABLE_314683) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314681) (ho_4639 BOUND_VARIABLE_360355 BOUND_VARIABLE_314683)))))) (let ((_let_12020 (forall ((BOUND_VARIABLE_314671 tptp.nat) (BOUND_VARIABLE_360369 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_314673 tptp.product_unit)) (= (ho_4639 (ho_5633 (ho_6401 k_6444 BOUND_VARIABLE_314671) BOUND_VARIABLE_360369) BOUND_VARIABLE_314673) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_314671) (ho_4639 BOUND_VARIABLE_360369 BOUND_VARIABLE_314673)))))) (let ((_let_12021 (forall ((BOUND_VARIABLE_314661 Bool) (BOUND_VARIABLE_360383 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_314663 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6403 k_6445 BOUND_VARIABLE_314661) BOUND_VARIABLE_360383) BOUND_VARIABLE_314663) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314661) (ho_6011 BOUND_VARIABLE_360383 BOUND_VARIABLE_314663)))))) (let ((_let_12022 (forall ((BOUND_VARIABLE_314651 Bool) (BOUND_VARIABLE_360397 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_314653 tptp.nat)) (= (ho_6011 (ho_6041 (ho_6403 k_6446 BOUND_VARIABLE_314651) BOUND_VARIABLE_360397) BOUND_VARIABLE_314653) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314651) (ho_6011 BOUND_VARIABLE_360397 BOUND_VARIABLE_314653)))))) (let ((_let_12023 (forall ((BOUND_VARIABLE_314641 Bool) (BOUND_VARIABLE_360411 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_314643 Bool)) (= (ho_6018 (ho_6045 (ho_6405 k_6447 BOUND_VARIABLE_314641) BOUND_VARIABLE_360411) BOUND_VARIABLE_314643) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314641) (ho_6018 BOUND_VARIABLE_360411 BOUND_VARIABLE_314643)))))) (let ((_let_12024 (forall ((BOUND_VARIABLE_314631 Bool) (BOUND_VARIABLE_360425 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_314633 Bool)) (= (ho_6018 (ho_6045 (ho_6405 k_6448 BOUND_VARIABLE_314631) BOUND_VARIABLE_360425) BOUND_VARIABLE_314633) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314631) (ho_6018 BOUND_VARIABLE_360425 BOUND_VARIABLE_314633)))))) (let ((_let_12025 (forall ((BOUND_VARIABLE_314621 Bool) (BOUND_VARIABLE_360439 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_314623 tptp.product_unit)) (= (ho_6023 (ho_6049 (ho_6407 k_6449 BOUND_VARIABLE_314621) BOUND_VARIABLE_360439) BOUND_VARIABLE_314623) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314621) (ho_6023 BOUND_VARIABLE_360439 BOUND_VARIABLE_314623)))))) (let ((_let_12026 (forall ((BOUND_VARIABLE_314611 Bool) (BOUND_VARIABLE_360453 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_314613 tptp.product_unit)) (= (ho_6023 (ho_6049 (ho_6407 k_6450 BOUND_VARIABLE_314611) BOUND_VARIABLE_360453) BOUND_VARIABLE_314613) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_314611) (ho_6023 BOUND_VARIABLE_360453 BOUND_VARIABLE_314613)))))) (let ((_let_12027 (forall ((BOUND_VARIABLE_314605 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_314606 tptp.product_unit)) (= BOUND_VARIABLE_314605 (ho_5651 (ho_5684 k_6451 BOUND_VARIABLE_314605) BOUND_VARIABLE_314606))))) (let ((_let_12028 (forall ((BOUND_VARIABLE_314599 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_314600 tptp.product_unit)) (= BOUND_VARIABLE_314599 (ho_5651 (ho_5684 k_6452 BOUND_VARIABLE_314599) BOUND_VARIABLE_314600))))) (let ((_let_12029 (forall ((BOUND_VARIABLE_314593 tptp.set_nat) (BOUND_VARIABLE_314594 tptp.nat)) (= BOUND_VARIABLE_314593 (ho_4551 (ho_5658 k_6453 BOUND_VARIABLE_314593) BOUND_VARIABLE_314594))))) (let ((_let_12030 (forall ((BOUND_VARIABLE_314587 tptp.set_nat) (BOUND_VARIABLE_314588 tptp.nat)) (= BOUND_VARIABLE_314587 (ho_4551 (ho_5658 k_6454 BOUND_VARIABLE_314587) BOUND_VARIABLE_314588))))) (let ((_let_12031 (forall ((BOUND_VARIABLE_314581 tptp.set_nat) (BOUND_VARIABLE_314582 Bool)) (= BOUND_VARIABLE_314581 (ho_4556 (ho_4654 k_6455 BOUND_VARIABLE_314581) BOUND_VARIABLE_314582))))) (let ((_let_12032 (forall ((BOUND_VARIABLE_314575 tptp.set_nat) (BOUND_VARIABLE_314576 Bool)) (= BOUND_VARIABLE_314575 (ho_4556 (ho_4654 k_6456 BOUND_VARIABLE_314575) BOUND_VARIABLE_314576))))) (let ((_let_12033 (forall ((BOUND_VARIABLE_314569 tptp.set_nat) (BOUND_VARIABLE_314570 tptp.product_unit)) (= BOUND_VARIABLE_314569 (ho_4639 (ho_5669 k_6457 BOUND_VARIABLE_314569) BOUND_VARIABLE_314570))))) (let ((_let_12034 (forall ((BOUND_VARIABLE_314563 tptp.set_nat) (BOUND_VARIABLE_314564 tptp.product_unit)) (= BOUND_VARIABLE_314563 (ho_4639 (ho_5669 k_6458 BOUND_VARIABLE_314563) BOUND_VARIABLE_314564))))) (let ((_let_12035 (forall ((BOUND_VARIABLE_314557 tptp.set_o) (BOUND_VARIABLE_314558 tptp.nat)) (= BOUND_VARIABLE_314557 (ho_6011 (ho_6014 k_6459 BOUND_VARIABLE_314557) BOUND_VARIABLE_314558))))) (let ((_let_12036 (forall ((BOUND_VARIABLE_314551 tptp.set_o) (BOUND_VARIABLE_314552 tptp.nat)) (= BOUND_VARIABLE_314551 (ho_6011 (ho_6014 k_6460 BOUND_VARIABLE_314551) BOUND_VARIABLE_314552))))) (let ((_let_12037 (forall ((BOUND_VARIABLE_314545 tptp.set_o) (BOUND_VARIABLE_314546 Bool)) (= BOUND_VARIABLE_314545 (ho_6018 (ho_6021 k_6461 BOUND_VARIABLE_314545) BOUND_VARIABLE_314546))))) (let ((_let_12038 (forall ((BOUND_VARIABLE_314539 tptp.set_o) (BOUND_VARIABLE_314540 Bool)) (= BOUND_VARIABLE_314539 (ho_6018 (ho_6021 k_6462 BOUND_VARIABLE_314539) BOUND_VARIABLE_314540))))) (let ((_let_12039 (forall ((BOUND_VARIABLE_314533 tptp.set_o) (BOUND_VARIABLE_314534 tptp.product_unit)) (= BOUND_VARIABLE_314533 (ho_6023 (ho_6026 k_6463 BOUND_VARIABLE_314533) BOUND_VARIABLE_314534))))) (let ((_let_12040 (forall ((BOUND_VARIABLE_314527 tptp.set_o) (BOUND_VARIABLE_314528 tptp.product_unit)) (= BOUND_VARIABLE_314527 (ho_6023 (ho_6026 k_6464 BOUND_VARIABLE_314527) BOUND_VARIABLE_314528))))) (let ((_let_12041 (forall ((BOUND_VARIABLE_314521 tptp.set_nat) (BOUND_VARIABLE_314522 tptp.nat)) (= BOUND_VARIABLE_314521 (ho_4551 (ho_5658 k_6465 BOUND_VARIABLE_314521) BOUND_VARIABLE_314522))))) (let ((_let_12042 (forall ((BOUND_VARIABLE_314515 tptp.set_nat) (BOUND_VARIABLE_314516 Bool)) (= BOUND_VARIABLE_314515 (ho_4556 (ho_4654 k_6466 BOUND_VARIABLE_314515) BOUND_VARIABLE_314516))))) (let ((_let_12043 (forall ((BOUND_VARIABLE_314509 tptp.set_nat) (BOUND_VARIABLE_314510 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_314509 (ho_4628 (ho_5663 k_6467 BOUND_VARIABLE_314509) BOUND_VARIABLE_314510))))) (let ((_let_12044 (forall ((BOUND_VARIABLE_314503 tptp.set_nat) (BOUND_VARIABLE_314504 tptp.produc3843707927480180839at_nat)) (= BOUND_VARIABLE_314503 (ho_4879 (ho_5666 k_6468 BOUND_VARIABLE_314503) BOUND_VARIABLE_314504))))) (let ((_let_12045 (forall ((BOUND_VARIABLE_314497 tptp.set_nat) (BOUND_VARIABLE_314498 tptp.product_unit)) (= BOUND_VARIABLE_314497 (ho_4639 (ho_5669 k_6469 BOUND_VARIABLE_314497) BOUND_VARIABLE_314498))))) (let ((_let_12046 (forall ((BOUND_VARIABLE_314491 tptp.set_nat) (BOUND_VARIABLE_314492 tptp.nat)) (= BOUND_VARIABLE_314491 (ho_4551 (ho_5658 k_6470 BOUND_VARIABLE_314491) BOUND_VARIABLE_314492))))) (let ((_let_12047 (forall ((BOUND_VARIABLE_314485 tptp.set_nat) (BOUND_VARIABLE_314486 Bool)) (= BOUND_VARIABLE_314485 (ho_4556 (ho_4654 k_6471 BOUND_VARIABLE_314485) BOUND_VARIABLE_314486))))) (let ((_let_12048 (forall ((BOUND_VARIABLE_314479 tptp.set_nat) (BOUND_VARIABLE_314480 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_314479 (ho_4628 (ho_5663 k_6472 BOUND_VARIABLE_314479) BOUND_VARIABLE_314480))))) (let ((_let_12049 (forall ((BOUND_VARIABLE_314473 tptp.set_nat) (BOUND_VARIABLE_314474 tptp.produc3843707927480180839at_nat)) (= BOUND_VARIABLE_314473 (ho_4879 (ho_5666 k_6473 BOUND_VARIABLE_314473) BOUND_VARIABLE_314474))))) (let ((_let_12050 (forall ((BOUND_VARIABLE_314467 tptp.set_nat) (BOUND_VARIABLE_314468 tptp.product_unit)) (= BOUND_VARIABLE_314467 (ho_4639 (ho_5669 k_6474 BOUND_VARIABLE_314467) BOUND_VARIABLE_314468))))) (let ((_let_12051 (forall ((BOUND_VARIABLE_314462 tptp.set_nat)) (= BOUND_VARIABLE_314462 (ho_4560 k_6475 BOUND_VARIABLE_314462))))) (let ((_let_12052 (forall ((BOUND_VARIABLE_314457 tptp.set_nat)) (= BOUND_VARIABLE_314457 (ho_4560 k_6476 BOUND_VARIABLE_314457))))) (let ((_let_12053 (forall ((BOUND_VARIABLE_314421 tptp.set_nat) (BOUND_VARIABLE_314422 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5300 BOUND_VARIABLE_314422) BOUND_VARIABLE_314421)) (ho_4524 (ho_5287 k_6477 BOUND_VARIABLE_314421) BOUND_VARIABLE_314422))))) (let ((_let_12054 (forall ((BOUND_VARIABLE_314385 tptp.set_int) (BOUND_VARIABLE_314386 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5301 BOUND_VARIABLE_314386) BOUND_VARIABLE_314385)) (ho_4610 (ho_5575 k_6478 BOUND_VARIABLE_314385) BOUND_VARIABLE_314386))))) (let ((_let_12055 (forall ((BOUND_VARIABLE_314349 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_314350 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5302 BOUND_VARIABLE_314350) BOUND_VARIABLE_314349)) (ho_4504 (ho_4685 k_6479 BOUND_VARIABLE_314349) BOUND_VARIABLE_314350))))) (let ((_let_12056 (forall ((BOUND_VARIABLE_314339 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_314340 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6480 BOUND_VARIABLE_314339) BOUND_VARIABLE_314340) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_314339) BOUND_VARIABLE_314340)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_12057 (forall ((BOUND_VARIABLE_360688 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_360687 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_314324 tptp.product_prod_nat_nat) (BOUND_VARIABLE_314325 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_6481 BOUND_VARIABLE_360688) BOUND_VARIABLE_360687) BOUND_VARIABLE_314324) BOUND_VARIABLE_314325) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_360688 BOUND_VARIABLE_314324) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_360687 B4) BOUND_VARIABLE_314325))))))))) (let ((_let_12058 (forall ((BOUND_VARIABLE_360723 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_360719 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_314307 tptp.int) (BOUND_VARIABLE_314308 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_6485 BOUND_VARIABLE_360723) BOUND_VARIABLE_360719) BOUND_VARIABLE_314307) BOUND_VARIABLE_314308) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_360723 BOUND_VARIABLE_314307) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_360719 B4) BOUND_VARIABLE_314308))))))))) (let ((_let_12059 (forall ((BOUND_VARIABLE_360756 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_360755 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_314290 tptp.product_prod_nat_nat) (BOUND_VARIABLE_314291 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_6489 BOUND_VARIABLE_360756) BOUND_VARIABLE_360755) BOUND_VARIABLE_314290) BOUND_VARIABLE_314291) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_360756 BOUND_VARIABLE_314290) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_360755 B4) BOUND_VARIABLE_314291))))))))) (let ((_let_12060 (forall ((BOUND_VARIABLE_360779 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_360778 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_314273 tptp.int) (BOUND_VARIABLE_314274 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_6490 BOUND_VARIABLE_360779) BOUND_VARIABLE_360778) BOUND_VARIABLE_314273) BOUND_VARIABLE_314274) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_360779 BOUND_VARIABLE_314273) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_360778 B4) BOUND_VARIABLE_314274))))))))) (let ((_let_12061 (forall ((BOUND_VARIABLE_314265 tptp.set_nat) (BOUND_VARIABLE_314266 tptp.product_unit)) (= BOUND_VARIABLE_314265 (ho_4639 (ho_5669 k_6491 BOUND_VARIABLE_314265) BOUND_VARIABLE_314266))))) (let ((_let_12062 (forall ((BOUND_VARIABLE_314259 tptp.set_nat) (BOUND_VARIABLE_314260 tptp.product_unit)) (= BOUND_VARIABLE_314259 (ho_4639 (ho_5669 k_6492 BOUND_VARIABLE_314259) BOUND_VARIABLE_314260))))) (let ((_let_12063 (forall ((BOUND_VARIABLE_314253 tptp.set_int) (BOUND_VARIABLE_314254 tptp.nat)) (= BOUND_VARIABLE_314253 (ho_5594 (ho_6144 k_6493 BOUND_VARIABLE_314253) BOUND_VARIABLE_314254))))) (let ((_let_12064 (forall ((BOUND_VARIABLE_314247 tptp.set_int) (BOUND_VARIABLE_314248 tptp.nat)) (= BOUND_VARIABLE_314247 (ho_5594 (ho_6144 k_6494 BOUND_VARIABLE_314247) BOUND_VARIABLE_314248))))) (let ((_let_12065 (forall ((BOUND_VARIABLE_314241 tptp.set_int) (BOUND_VARIABLE_314242 Bool)) (= BOUND_VARIABLE_314241 (ho_5598 (ho_6148 k_6495 BOUND_VARIABLE_314241) BOUND_VARIABLE_314242))))) (let ((_let_12066 (forall ((BOUND_VARIABLE_314235 tptp.set_int) (BOUND_VARIABLE_314236 Bool)) (= BOUND_VARIABLE_314235 (ho_5598 (ho_6148 k_6496 BOUND_VARIABLE_314235) BOUND_VARIABLE_314236))))) (let ((_let_12067 (forall ((BOUND_VARIABLE_314229 tptp.set_int) (BOUND_VARIABLE_314230 tptp.product_unit)) (= BOUND_VARIABLE_314229 (ho_6113 (ho_6152 k_6497 BOUND_VARIABLE_314229) BOUND_VARIABLE_314230))))) (let ((_let_12068 (forall ((BOUND_VARIABLE_314223 tptp.set_int) (BOUND_VARIABLE_314224 tptp.product_unit)) (= BOUND_VARIABLE_314223 (ho_6113 (ho_6152 k_6498 BOUND_VARIABLE_314223) BOUND_VARIABLE_314224))))) (let ((_let_12069 (forall ((BOUND_VARIABLE_360853 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_314186 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5303 BOUND_VARIABLE_360853) BOUND_VARIABLE_314186)) (ho_4524 (ho_4768 k_6499 BOUND_VARIABLE_360853) BOUND_VARIABLE_314186))))) (let ((_let_12070 (forall ((BOUND_VARIABLE_360865 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_314148 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5304 BOUND_VARIABLE_360865) BOUND_VARIABLE_314148)) (ho_4524 (ho_4768 k_6500 BOUND_VARIABLE_360865) BOUND_VARIABLE_314148))))) (let ((_let_12071 (forall ((BOUND_VARIABLE_314111 tptp.set_nat) (BOUND_VARIABLE_314112 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5305 BOUND_VARIABLE_314112) BOUND_VARIABLE_314111)) (ho_4524 (ho_5287 k_6501 BOUND_VARIABLE_314111) BOUND_VARIABLE_314112))))) (let ((_let_12072 (forall ((BOUND_VARIABLE_314075 tptp.set_nat) (BOUND_VARIABLE_314076 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5306 BOUND_VARIABLE_314076) BOUND_VARIABLE_314075)) (ho_4524 (ho_5287 k_6502 BOUND_VARIABLE_314075) BOUND_VARIABLE_314076))))) (let ((_let_12073 (forall ((BOUND_VARIABLE_314039 tptp.set_nat) (BOUND_VARIABLE_314040 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5307 BOUND_VARIABLE_314040) BOUND_VARIABLE_314039)) (ho_4524 (ho_5287 k_6503 BOUND_VARIABLE_314039) BOUND_VARIABLE_314040))))) (let ((_let_12074 (forall ((BOUND_VARIABLE_314003 tptp.set_nat) (BOUND_VARIABLE_314004 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5308 BOUND_VARIABLE_314004) BOUND_VARIABLE_314003)) (ho_4524 (ho_5287 k_6504 BOUND_VARIABLE_314003) BOUND_VARIABLE_314004))))) (let ((_let_12075 (forall ((BOUND_VARIABLE_360917 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_313966 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5309 BOUND_VARIABLE_360917) BOUND_VARIABLE_313966)) (ho_4524 (ho_4768 k_6505 BOUND_VARIABLE_360917) BOUND_VARIABLE_313966))))) (let ((_let_12076 (forall ((BOUND_VARIABLE_360929 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_313928 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_5310 BOUND_VARIABLE_360929) BOUND_VARIABLE_313928)) (ho_4504 (ho_4692 k_6506 BOUND_VARIABLE_360929) BOUND_VARIABLE_313928))))) (let ((_let_12077 (forall ((BOUND_VARIABLE_313891 tptp.set_nat) (BOUND_VARIABLE_313892 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5311 BOUND_VARIABLE_313892) BOUND_VARIABLE_313891)) (ho_4524 (ho_5287 k_6507 BOUND_VARIABLE_313891) BOUND_VARIABLE_313892))))) (let ((_let_12078 (forall ((BOUND_VARIABLE_313858 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 k_5312 BOUND_VARIABLE_313858)) (ho_4504 k_6508 BOUND_VARIABLE_313858))))) (let ((_let_12079 (forall ((BOUND_VARIABLE_360958 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_313821 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5313 BOUND_VARIABLE_360958) BOUND_VARIABLE_313821)) (ho_4524 (ho_4768 k_6509 BOUND_VARIABLE_360958) BOUND_VARIABLE_313821))))) (let ((_let_12080 (forall ((BOUND_VARIABLE_360970 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_313783 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_5314 BOUND_VARIABLE_360970) BOUND_VARIABLE_313783)) (ho_4504 (ho_4692 k_6510 BOUND_VARIABLE_360970) BOUND_VARIABLE_313783))))) (let ((_let_12081 (forall ((BOUND_VARIABLE_313749 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 k_5315 BOUND_VARIABLE_313749)) (ho_4524 k_6511 BOUND_VARIABLE_313749))))) (let ((_let_12082 (forall ((BOUND_VARIABLE_313713 tptp.set_nat) (BOUND_VARIABLE_313714 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5316 BOUND_VARIABLE_313714) BOUND_VARIABLE_313713)) (ho_4524 (ho_5287 k_6512 BOUND_VARIABLE_313713) BOUND_VARIABLE_313714))))) (let ((_let_12083 (forall ((BOUND_VARIABLE_313677 tptp.set_nat) (BOUND_VARIABLE_313678 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5317 BOUND_VARIABLE_313678) BOUND_VARIABLE_313677)) (ho_4524 (ho_5287 k_6513 BOUND_VARIABLE_313677) BOUND_VARIABLE_313678))))) (let ((_let_12084 (forall ((BOUND_VARIABLE_313641 tptp.set_nat) (BOUND_VARIABLE_313642 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5318 BOUND_VARIABLE_313642) BOUND_VARIABLE_313641)) (ho_4524 (ho_5287 k_6514 BOUND_VARIABLE_313641) BOUND_VARIABLE_313642))))) (let ((_let_12085 (forall ((BOUND_VARIABLE_313605 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_313606 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5319 BOUND_VARIABLE_313606) BOUND_VARIABLE_313605)) (ho_4504 (ho_4685 k_6515 BOUND_VARIABLE_313605) BOUND_VARIABLE_313606))))) (let ((_let_12086 (forall ((BOUND_VARIABLE_313569 tptp.set_int) (BOUND_VARIABLE_313570 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5320 BOUND_VARIABLE_313570) BOUND_VARIABLE_313569)) (ho_4610 (ho_5575 k_6516 BOUND_VARIABLE_313569) BOUND_VARIABLE_313570))))) (let ((_let_12087 (forall ((BOUND_VARIABLE_361039 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_313526 tptp.set_int) (BOUND_VARIABLE_313527 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_5323 (ho_5322 k_5321 BOUND_VARIABLE_313527) BOUND_VARIABLE_361039) BOUND_VARIABLE_313526)) (ho_4610 (ho_5575 (ho_5574 k_6517 BOUND_VARIABLE_361039) BOUND_VARIABLE_313526) BOUND_VARIABLE_313527))))) (let ((_let_12088 (forall ((BOUND_VARIABLE_313489 tptp.set_int) (BOUND_VARIABLE_313490 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5324 BOUND_VARIABLE_313490) BOUND_VARIABLE_313489)) (ho_4610 (ho_5575 k_6518 BOUND_VARIABLE_313489) BOUND_VARIABLE_313490))))) (let ((_let_12089 (forall ((BOUND_VARIABLE_313453 tptp.set_int) (BOUND_VARIABLE_313454 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5325 BOUND_VARIABLE_313454) BOUND_VARIABLE_313453)) (ho_4610 (ho_5575 k_6519 BOUND_VARIABLE_313453) BOUND_VARIABLE_313454))))) (let ((_let_12090 (forall ((BOUND_VARIABLE_313417 tptp.set_nat) (BOUND_VARIABLE_313418 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5326 BOUND_VARIABLE_313418) BOUND_VARIABLE_313417)) (ho_4524 (ho_5287 k_6520 BOUND_VARIABLE_313417) BOUND_VARIABLE_313418))))) (let ((_let_12091 (forall ((BOUND_VARIABLE_313381 tptp.set_nat) (BOUND_VARIABLE_313382 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5327 BOUND_VARIABLE_313382) BOUND_VARIABLE_313381)) (ho_4524 (ho_5287 k_6521 BOUND_VARIABLE_313381) BOUND_VARIABLE_313382))))) (let ((_let_12092 (forall ((BOUND_VARIABLE_313371 tptp.nat) (BOUND_VARIABLE_313372 tptp.num)) (= (ho_5540 (ho_5539 k_6522 BOUND_VARIABLE_313371) BOUND_VARIABLE_313372) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_313371) BOUND_VARIABLE_313372)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12093 (forall ((BOUND_VARIABLE_313335 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_313336 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5328 BOUND_VARIABLE_313336) BOUND_VARIABLE_313335)) (ho_4504 (ho_4685 k_6523 BOUND_VARIABLE_313335) BOUND_VARIABLE_313336))))) (let ((_let_12094 (forall ((BOUND_VARIABLE_313298 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_313299 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4543 (ho_4542 k_5329 BOUND_VARIABLE_313299) BOUND_VARIABLE_313298)) (ho_4504 (ho_4685 k_6524 BOUND_VARIABLE_313298) BOUND_VARIABLE_313299))))) (let ((_let_12095 (forall ((BOUND_VARIABLE_313288 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_313289 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6525 BOUND_VARIABLE_313288) BOUND_VARIABLE_313289) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_313288) BOUND_VARIABLE_313289)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_12096 (forall ((BOUND_VARIABLE_313278 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_313279 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6526 BOUND_VARIABLE_313278) BOUND_VARIABLE_313279) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_313278) BOUND_VARIABLE_313279)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_12097 (forall ((BOUND_VARIABLE_313242 tptp.set_nat) (BOUND_VARIABLE_313243 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5330 BOUND_VARIABLE_313243) BOUND_VARIABLE_313242)) (ho_4524 (ho_5287 k_6527 BOUND_VARIABLE_313242) BOUND_VARIABLE_313243))))) (let ((_let_12098 (forall ((BOUND_VARIABLE_313206 tptp.set_nat) (BOUND_VARIABLE_313207 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5331 BOUND_VARIABLE_313207) BOUND_VARIABLE_313206)) (ho_4524 (ho_5287 k_6528 BOUND_VARIABLE_313206) BOUND_VARIABLE_313207))))) (let ((_let_12099 (forall ((BOUND_VARIABLE_313170 tptp.set_nat) (BOUND_VARIABLE_313171 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5332 BOUND_VARIABLE_313171) BOUND_VARIABLE_313170)) (ho_4524 (ho_5287 k_6529 BOUND_VARIABLE_313170) BOUND_VARIABLE_313171))))) (let ((_let_12100 (forall ((BOUND_VARIABLE_313134 tptp.set_int) (BOUND_VARIABLE_313135 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5333 BOUND_VARIABLE_313135) BOUND_VARIABLE_313134)) (ho_4610 (ho_5575 k_6530 BOUND_VARIABLE_313134) BOUND_VARIABLE_313135))))) (let ((_let_12101 (forall ((BOUND_VARIABLE_313098 tptp.set_nat) (BOUND_VARIABLE_313099 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5334 BOUND_VARIABLE_313099) BOUND_VARIABLE_313098)) (ho_4524 (ho_5287 k_6531 BOUND_VARIABLE_313098) BOUND_VARIABLE_313099))))) (let ((_let_12102 (forall ((BOUND_VARIABLE_313062 tptp.set_nat) (BOUND_VARIABLE_313063 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5335 BOUND_VARIABLE_313063) BOUND_VARIABLE_313062)) (ho_4524 (ho_5287 k_6532 BOUND_VARIABLE_313062) BOUND_VARIABLE_313063))))) (let ((_let_12103 (forall ((BOUND_VARIABLE_361207 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_313025 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5336 BOUND_VARIABLE_361207) BOUND_VARIABLE_313025)) (ho_4524 (ho_4768 k_6533 BOUND_VARIABLE_361207) BOUND_VARIABLE_313025))))) (let ((_let_12104 (forall ((BOUND_VARIABLE_361219 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312987 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5337 BOUND_VARIABLE_361219) BOUND_VARIABLE_312987)) (ho_4524 (ho_4768 k_6534 BOUND_VARIABLE_361219) BOUND_VARIABLE_312987))))) (let ((_let_12105 (forall ((BOUND_VARIABLE_361231 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_312946 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_5341 k_5340 BOUND_VARIABLE_361231) BOUND_VARIABLE_312946)) (ho_4610 (ho_6536 k_6535 BOUND_VARIABLE_361231) BOUND_VARIABLE_312946))))) (let ((_let_12106 (forall ((BOUND_VARIABLE_361247 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_312905 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_5343 k_5342 BOUND_VARIABLE_361247) BOUND_VARIABLE_312905)) (ho_4524 (ho_6538 k_6537 BOUND_VARIABLE_361247) BOUND_VARIABLE_312905))))) (let ((_let_12107 (forall ((BOUND_VARIABLE_361263 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312867 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5344 BOUND_VARIABLE_361263) BOUND_VARIABLE_312867)) (ho_4524 (ho_4768 k_6539 BOUND_VARIABLE_361263) BOUND_VARIABLE_312867))))) (let ((_let_12108 (forall ((BOUND_VARIABLE_361275 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_312829 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_5345 BOUND_VARIABLE_361275) BOUND_VARIABLE_312829)) (ho_4610 (ho_5536 k_6540 BOUND_VARIABLE_361275) BOUND_VARIABLE_312829))))) (let ((_let_12109 (forall ((BOUND_VARIABLE_312818 tptp.nat) (BOUND_VARIABLE_312819 tptp.num)) (= (ho_5540 (ho_5539 k_6541 BOUND_VARIABLE_312818) BOUND_VARIABLE_312819) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_312818) BOUND_VARIABLE_312819)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12110 (forall ((BOUND_VARIABLE_361298 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312781 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5346 BOUND_VARIABLE_361298) BOUND_VARIABLE_312781)) (ho_4524 (ho_4768 k_6542 BOUND_VARIABLE_361298) BOUND_VARIABLE_312781))))) (let ((_let_12111 (forall ((BOUND_VARIABLE_361310 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_312743 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_5347 BOUND_VARIABLE_361310) BOUND_VARIABLE_312743)) (ho_4610 (ho_5536 k_6543 BOUND_VARIABLE_361310) BOUND_VARIABLE_312743))))) (let ((_let_12112 (forall ((BOUND_VARIABLE_312732 tptp.nat) (BOUND_VARIABLE_312733 tptp.num)) (= (ho_5540 (ho_5539 k_6544 BOUND_VARIABLE_312732) BOUND_VARIABLE_312733) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_312732) BOUND_VARIABLE_312733)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12113 (forall ((BOUND_VARIABLE_361333 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_312695 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_5348 BOUND_VARIABLE_361333) BOUND_VARIABLE_312695)) (ho_4504 (ho_4692 k_6545 BOUND_VARIABLE_361333) BOUND_VARIABLE_312695))))) (let ((_let_12114 (forall ((BOUND_VARIABLE_312684 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_312685 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6546 BOUND_VARIABLE_312684) BOUND_VARIABLE_312685) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_312684) BOUND_VARIABLE_312685)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_12115 (forall ((BOUND_VARIABLE_361356 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312647 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5349 BOUND_VARIABLE_361356) BOUND_VARIABLE_312647)) (ho_4524 (ho_4768 k_6547 BOUND_VARIABLE_361356) BOUND_VARIABLE_312647))))) (let ((_let_12116 (forall ((BOUND_VARIABLE_361368 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_312609 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_5350 BOUND_VARIABLE_361368) BOUND_VARIABLE_312609)) (ho_4610 (ho_5536 k_6548 BOUND_VARIABLE_361368) BOUND_VARIABLE_312609))))) (let ((_let_12117 (forall ((BOUND_VARIABLE_312598 tptp.nat) (BOUND_VARIABLE_312599 tptp.num)) (= (ho_5540 (ho_5539 k_6549 BOUND_VARIABLE_312598) BOUND_VARIABLE_312599) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_312598) BOUND_VARIABLE_312599)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12118 (forall ((BOUND_VARIABLE_361391 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_312560 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4495 k_4494 (ho_4549 (ho_4548 k_5351 BOUND_VARIABLE_361391) BOUND_VARIABLE_312560)) (ho_4504 (ho_4692 k_6550 BOUND_VARIABLE_361391) BOUND_VARIABLE_312560))))) (let ((_let_12119 (forall ((BOUND_VARIABLE_312549 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_312550 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 (ho_6324 k_6551 BOUND_VARIABLE_312549) BOUND_VARIABLE_312550) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_312549) BOUND_VARIABLE_312550)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_12120 (forall ((BOUND_VARIABLE_361414 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312512 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5352 BOUND_VARIABLE_361414) BOUND_VARIABLE_312512)) (ho_4524 (ho_4768 k_6552 BOUND_VARIABLE_361414) BOUND_VARIABLE_312512))))) (let ((_let_12121 (forall ((BOUND_VARIABLE_361426 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_312474 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_5353 BOUND_VARIABLE_361426) BOUND_VARIABLE_312474)) (ho_4610 (ho_5536 k_6553 BOUND_VARIABLE_361426) BOUND_VARIABLE_312474))))) (let ((_let_12122 (forall ((BOUND_VARIABLE_312463 tptp.nat) (BOUND_VARIABLE_312464 tptp.num)) (= (ho_5540 (ho_5539 k_6554 BOUND_VARIABLE_312463) BOUND_VARIABLE_312464) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_312463) BOUND_VARIABLE_312464)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12123 (forall ((BOUND_VARIABLE_361449 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312426 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5354 BOUND_VARIABLE_361449) BOUND_VARIABLE_312426)) (ho_4524 (ho_4768 k_6555 BOUND_VARIABLE_361449) BOUND_VARIABLE_312426))))) (let ((_let_12124 (forall ((BOUND_VARIABLE_361461 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312388 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5355 BOUND_VARIABLE_361461) BOUND_VARIABLE_312388)) (ho_4524 (ho_4768 k_6556 BOUND_VARIABLE_361461) BOUND_VARIABLE_312388))))) (let ((_let_12125 (forall ((BOUND_VARIABLE_312351 tptp.set_nat) (BOUND_VARIABLE_312352 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5356 BOUND_VARIABLE_312352) BOUND_VARIABLE_312351)) (ho_4524 (ho_5287 k_6557 BOUND_VARIABLE_312351) BOUND_VARIABLE_312352))))) (let ((_let_12126 (forall ((BOUND_VARIABLE_312315 tptp.set_nat) (BOUND_VARIABLE_312316 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5357 BOUND_VARIABLE_312316) BOUND_VARIABLE_312315)) (ho_4524 (ho_5287 k_6558 BOUND_VARIABLE_312315) BOUND_VARIABLE_312316))))) (let ((_let_12127 (forall ((BOUND_VARIABLE_361493 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_312277 tptp.int)) (= (ho_4601 k_4600 (ho_5360 (ho_5359 k_5358 BOUND_VARIABLE_312277) BOUND_VARIABLE_361493)) (ho_4610 (ho_6560 k_6559 BOUND_VARIABLE_361493) BOUND_VARIABLE_312277))))) (let ((_let_12128 (forall ((BOUND_VARIABLE_361509 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_312238 tptp.nat)) (= (ho_4515 k_4514 (ho_5363 (ho_5362 k_5361 BOUND_VARIABLE_312238) BOUND_VARIABLE_361509)) (ho_4524 (ho_6562 k_6561 BOUND_VARIABLE_361509) BOUND_VARIABLE_312238))))) (let ((_let_12129 (forall ((BOUND_VARIABLE_361525 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312200 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5364 BOUND_VARIABLE_361525) BOUND_VARIABLE_312200)) (ho_4524 (ho_4768 k_6563 BOUND_VARIABLE_361525) BOUND_VARIABLE_312200))))) (let ((_let_12130 (forall ((BOUND_VARIABLE_361537 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_312162 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_5365 BOUND_VARIABLE_361537) BOUND_VARIABLE_312162)) (ho_4610 (ho_5536 k_6564 BOUND_VARIABLE_361537) BOUND_VARIABLE_312162))))) (let ((_let_12131 (forall ((BOUND_VARIABLE_312151 tptp.nat) (BOUND_VARIABLE_312152 tptp.num)) (= (ho_5540 (ho_5539 k_6565 BOUND_VARIABLE_312151) BOUND_VARIABLE_312152) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_312151) BOUND_VARIABLE_312152)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12132 (forall ((BOUND_VARIABLE_361560 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_312113 tptp.nat)) (= (ho_4515 k_4514 (ho_4574 (ho_4573 k_5366 BOUND_VARIABLE_361560) BOUND_VARIABLE_312113)) (ho_4524 (ho_4768 k_6566 BOUND_VARIABLE_361560) BOUND_VARIABLE_312113))))) (let ((_let_12133 (forall ((BOUND_VARIABLE_361572 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_312074 tptp.int)) (= (ho_4601 k_4600 (ho_4907 (ho_4906 k_5367 BOUND_VARIABLE_361572) BOUND_VARIABLE_312074)) (ho_4610 (ho_5536 k_6567 BOUND_VARIABLE_361572) BOUND_VARIABLE_312074))))) (let ((_let_12134 (forall ((BOUND_VARIABLE_312063 tptp.nat) (BOUND_VARIABLE_312064 tptp.num)) (= (ho_5540 (ho_5539 k_6568 BOUND_VARIABLE_312063) BOUND_VARIABLE_312064) (ho_5546 (ho_5545 k_5544 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_312063) BOUND_VARIABLE_312064)) tptp.bot_bo7038385379056416535at_num))))) (let ((_let_12135 (forall ((BOUND_VARIABLE_312024 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_312025 tptp.nat)) (= (ho_4515 k_4514 (ho_5239 (ho_5373 k_5372 BOUND_VARIABLE_312025) BOUND_VARIABLE_312024)) (ho_4524 (ho_5672 k_6569 BOUND_VARIABLE_312024) BOUND_VARIABLE_312025))))) (let ((_let_12136 (forall ((BOUND_VARIABLE_311988 tptp.set_nat) (BOUND_VARIABLE_311989 tptp.nat)) (= (ho_4515 k_4514 (ho_4758 (ho_4757 k_5374 BOUND_VARIABLE_311989) BOUND_VARIABLE_311988)) (ho_4524 (ho_5287 k_6570 BOUND_VARIABLE_311988) BOUND_VARIABLE_311989))))) (let ((_let_12137 (forall ((BOUND_VARIABLE_311952 tptp.set_int) (BOUND_VARIABLE_311953 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5375 BOUND_VARIABLE_311953) BOUND_VARIABLE_311952)) (ho_4610 (ho_5575 k_6571 BOUND_VARIABLE_311952) BOUND_VARIABLE_311953))))) (let ((_let_12138 (forall ((BOUND_VARIABLE_311916 tptp.set_int) (BOUND_VARIABLE_311917 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5376 BOUND_VARIABLE_311917) BOUND_VARIABLE_311916)) (ho_4610 (ho_5575 k_6572 BOUND_VARIABLE_311916) BOUND_VARIABLE_311917))))) (let ((_let_12139 (forall ((BOUND_VARIABLE_311880 tptp.set_int) (BOUND_VARIABLE_311881 tptp.int)) (= (ho_4601 k_4600 (ho_4924 (ho_4923 k_5377 BOUND_VARIABLE_311881) BOUND_VARIABLE_311880)) (ho_4610 (ho_5575 k_6573 BOUND_VARIABLE_311880) BOUND_VARIABLE_311881))))) (let ((_let_12140 (forall ((BOUND_VARIABLE_311873 tptp.int) (BOUND_VARIABLE_311874 tptp.int)) (= (= BOUND_VARIABLE_311873 BOUND_VARIABLE_311874) (ho_5218 (ho_5250 k_6574 BOUND_VARIABLE_311873) BOUND_VARIABLE_311874))))) (let ((_let_12141 (forall ((BOUND_VARIABLE_361654 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311864 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6575 BOUND_VARIABLE_361654) BOUND_VARIABLE_311864) (ho_5218 (ho_5250 BOUND_VARIABLE_361654 (ho_5531 k_5530 BOUND_VARIABLE_311864)) (ho_5531 k_5532 BOUND_VARIABLE_311864)))))) (let ((_let_12142 (forall ((BOUND_VARIABLE_361667 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311854 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6576 BOUND_VARIABLE_361667) BOUND_VARIABLE_311854) (ho_5218 (ho_5250 BOUND_VARIABLE_361667 (ho_5531 k_5530 BOUND_VARIABLE_311854)) (ho_5531 k_5532 BOUND_VARIABLE_311854)))))) (let ((_let_12143 (forall ((BOUND_VARIABLE_361680 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311844 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6577 BOUND_VARIABLE_361680) BOUND_VARIABLE_311844) (ho_5218 (ho_5250 BOUND_VARIABLE_361680 (ho_5531 k_5530 BOUND_VARIABLE_311844)) (ho_5531 k_5532 BOUND_VARIABLE_311844)))))) (let ((_let_12144 (forall ((BOUND_VARIABLE_361693 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311834 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6578 BOUND_VARIABLE_361693) BOUND_VARIABLE_311834) (ho_5218 (ho_5250 BOUND_VARIABLE_361693 (ho_5531 k_5530 BOUND_VARIABLE_311834)) (ho_5531 k_5532 BOUND_VARIABLE_311834)))))) (let ((_let_12145 (forall ((BOUND_VARIABLE_361706 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311824 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6579 BOUND_VARIABLE_361706) BOUND_VARIABLE_311824) (ho_5218 (ho_5250 BOUND_VARIABLE_361706 (ho_5531 k_5530 BOUND_VARIABLE_311824)) (ho_5531 k_5532 BOUND_VARIABLE_311824)))))) (let ((_let_12146 (forall ((BOUND_VARIABLE_361719 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311814 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6580 BOUND_VARIABLE_361719) BOUND_VARIABLE_311814) (ho_5218 (ho_5250 BOUND_VARIABLE_361719 (ho_5531 k_5530 BOUND_VARIABLE_311814)) (ho_5531 k_5532 BOUND_VARIABLE_311814)))))) (let ((_let_12147 (forall ((BOUND_VARIABLE_361732 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311804 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6581 BOUND_VARIABLE_361732) BOUND_VARIABLE_311804) (ho_5218 (ho_5250 BOUND_VARIABLE_361732 (ho_5531 k_5530 BOUND_VARIABLE_311804)) (ho_5531 k_5532 BOUND_VARIABLE_311804)))))) (let ((_let_12148 (forall ((BOUND_VARIABLE_361745 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311794 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6582 BOUND_VARIABLE_361745) BOUND_VARIABLE_311794) (ho_5218 (ho_5250 BOUND_VARIABLE_361745 (ho_5531 k_5530 BOUND_VARIABLE_311794)) (ho_5531 k_5532 BOUND_VARIABLE_311794)))))) (let ((_let_12149 (forall ((BOUND_VARIABLE_311786 tptp.int) (BOUND_VARIABLE_311787 tptp.int)) (= (= BOUND_VARIABLE_311786 BOUND_VARIABLE_311787) (ho_5218 (ho_5250 k_6583 BOUND_VARIABLE_311786) BOUND_VARIABLE_311787))))) (let ((_let_12150 (forall ((BOUND_VARIABLE_361767 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361766 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311779 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6584 BOUND_VARIABLE_361767) BOUND_VARIABLE_361766) BOUND_VARIABLE_311779) (ho_5235 BOUND_VARIABLE_361767 (ho_4593 BOUND_VARIABLE_361766 BOUND_VARIABLE_311779)))))) (let ((_let_12151 (forall ((BOUND_VARIABLE_361785 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361784 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311770 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6586 BOUND_VARIABLE_361785) BOUND_VARIABLE_361784) BOUND_VARIABLE_311770) (ho_5235 BOUND_VARIABLE_361785 (ho_4593 BOUND_VARIABLE_361784 BOUND_VARIABLE_311770)))))) (let ((_let_12152 (forall ((BOUND_VARIABLE_361799 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361798 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311761 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6587 BOUND_VARIABLE_361799) BOUND_VARIABLE_361798) BOUND_VARIABLE_311761) (ho_5235 BOUND_VARIABLE_361799 (ho_4593 BOUND_VARIABLE_361798 BOUND_VARIABLE_311761)))))) (let ((_let_12153 (forall ((BOUND_VARIABLE_361813 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361812 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311752 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6588 BOUND_VARIABLE_361813) BOUND_VARIABLE_361812) BOUND_VARIABLE_311752) (ho_5235 BOUND_VARIABLE_361813 (ho_4593 BOUND_VARIABLE_361812 BOUND_VARIABLE_311752)))))) (let ((_let_12154 (forall ((BOUND_VARIABLE_361827 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361826 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311743 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6589 BOUND_VARIABLE_361827) BOUND_VARIABLE_361826) BOUND_VARIABLE_311743) (ho_5235 BOUND_VARIABLE_361827 (ho_4593 BOUND_VARIABLE_361826 BOUND_VARIABLE_311743)))))) (let ((_let_12155 (forall ((BOUND_VARIABLE_361841 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361840 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311734 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6590 BOUND_VARIABLE_361841) BOUND_VARIABLE_361840) BOUND_VARIABLE_311734) (ho_5235 BOUND_VARIABLE_361841 (ho_4593 BOUND_VARIABLE_361840 BOUND_VARIABLE_311734)))))) (let ((_let_12156 (forall ((BOUND_VARIABLE_361855 |u_(-> Bool Bool)|) (BOUND_VARIABLE_361854 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311725 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6591 BOUND_VARIABLE_361855) BOUND_VARIABLE_361854) BOUND_VARIABLE_311725) (ho_5235 BOUND_VARIABLE_361855 (ho_4593 BOUND_VARIABLE_361854 BOUND_VARIABLE_311725)))))) (let ((_let_12157 (forall ((BOUND_VARIABLE_361869 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_361866 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_361865 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_311677 tptp.int) (BOUND_VARIABLE_311678 tptp.int)) (= (ho_5218 (ho_5250 (ho_6594 (ho_6593 k_6592 (ho_5386 (ho_5385 k_5384 tptp.top_top_set_int) BOUND_VARIABLE_361869)) (ho_5382 (ho_5381 k_5380 BOUND_VARIABLE_361866) BOUND_VARIABLE_361865)) BOUND_VARIABLE_311677) BOUND_VARIABLE_311678) (ho_5218 (ho_5250 (ho_6598 (ho_6597 (ho_6596 k_6595 BOUND_VARIABLE_361869) BOUND_VARIABLE_361866) BOUND_VARIABLE_361865) BOUND_VARIABLE_311677) BOUND_VARIABLE_311678))))) (let ((_let_12158 (forall ((BOUND_VARIABLE_361914 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_311664 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311665 tptp.nat) (BOUND_VARIABLE_311666 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5472 (ho_6600 k_6599 BOUND_VARIABLE_361914) BOUND_VARIABLE_311664) BOUND_VARIABLE_311665) BOUND_VARIABLE_311666) (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_361914 BOUND_VARIABLE_311665) BOUND_VARIABLE_311666) BOUND_VARIABLE_311664))))) (let ((_let_12159 (forall ((BOUND_VARIABLE_361935 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_311653 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311654 tptp.nat) (BOUND_VARIABLE_311655 tptp.nat)) (= (ho_4518 (ho_4517 (ho_5479 (ho_6603 k_6602 BOUND_VARIABLE_361935) BOUND_VARIABLE_311653) BOUND_VARIABLE_311654) BOUND_VARIABLE_311655) (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_361935 BOUND_VARIABLE_311654) BOUND_VARIABLE_311655) BOUND_VARIABLE_311653))))) (let ((_let_12160 (forall ((BOUND_VARIABLE_311640 tptp.int)) (= (ho_4607 (ho_4606 k_4605 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_311640) BOUND_VARIABLE_311640)) (ho_4601 k_4600 k_4598)) (ho_4610 k_6606 BOUND_VARIABLE_311640))))) (let ((_let_12161 (forall ((BOUND_VARIABLE_311628 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4501 (ho_4500 k_4499 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_311628) BOUND_VARIABLE_311628)) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))) (ho_4504 k_6607 BOUND_VARIABLE_311628))))) (let ((_let_12162 (forall ((BOUND_VARIABLE_361978 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311619 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6608 BOUND_VARIABLE_361978) BOUND_VARIABLE_311619) (ho_5218 (ho_5250 BOUND_VARIABLE_361978 (ho_5531 k_5530 BOUND_VARIABLE_311619)) (ho_5531 k_5532 BOUND_VARIABLE_311619)))))) (let ((_let_12163 (forall ((BOUND_VARIABLE_361991 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311609 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6609 BOUND_VARIABLE_361991) BOUND_VARIABLE_311609) (ho_5218 (ho_5250 BOUND_VARIABLE_361991 (ho_5531 k_5530 BOUND_VARIABLE_311609)) (ho_5531 k_5532 BOUND_VARIABLE_311609)))))) (let ((_let_12164 (forall ((BOUND_VARIABLE_362004 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311599 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6610 BOUND_VARIABLE_362004) BOUND_VARIABLE_311599) (ho_5218 (ho_5250 BOUND_VARIABLE_362004 (ho_5531 k_5530 BOUND_VARIABLE_311599)) (ho_5531 k_5532 BOUND_VARIABLE_311599)))))) (let ((_let_12165 (forall ((BOUND_VARIABLE_362017 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311589 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6611 BOUND_VARIABLE_362017) BOUND_VARIABLE_311589) (ho_5218 (ho_5250 BOUND_VARIABLE_362017 (ho_5531 k_5530 BOUND_VARIABLE_311589)) (ho_5531 k_5532 BOUND_VARIABLE_311589)))))) (let ((_let_12166 (forall ((BOUND_VARIABLE_311578 tptp.nat) (BOUND_VARIABLE_311579 tptp.nat)) (= (ho_6357 (ho_6613 k_6612 BOUND_VARIABLE_311578) BOUND_VARIABLE_311579) (ho_6617 (ho_6616 k_6615 (ho_4925 k_6614 BOUND_VARIABLE_311578)) (ho_4925 k_6614 BOUND_VARIABLE_311579)))))) (let ((_let_12167 (forall ((BOUND_VARIABLE_311571 tptp.nat) (BOUND_VARIABLE_311572 tptp.nat)) (= (= BOUND_VARIABLE_311571 BOUND_VARIABLE_311572) (ho_4593 (ho_4511 k_6618 BOUND_VARIABLE_311571) BOUND_VARIABLE_311572))))) (let ((_let_12168 (forall ((BOUND_VARIABLE_311564 tptp.nat) (BOUND_VARIABLE_311565 tptp.nat)) (= (= BOUND_VARIABLE_311564 BOUND_VARIABLE_311565) (ho_4593 (ho_4511 k_6619 BOUND_VARIABLE_311564) BOUND_VARIABLE_311565))))) (let ((_let_12169 (forall ((BOUND_VARIABLE_311557 tptp.nat) (BOUND_VARIABLE_311558 tptp.nat)) (= (= BOUND_VARIABLE_311557 BOUND_VARIABLE_311558) (ho_4593 (ho_4511 k_6620 BOUND_VARIABLE_311557) BOUND_VARIABLE_311558))))) (let ((_let_12170 (forall ((BOUND_VARIABLE_311550 tptp.nat) (BOUND_VARIABLE_311551 tptp.nat)) (= (= BOUND_VARIABLE_311550 BOUND_VARIABLE_311551) (ho_4593 (ho_4511 k_6621 BOUND_VARIABLE_311550) BOUND_VARIABLE_311551))))) (let ((_let_12171 (forall ((BOUND_VARIABLE_311543 tptp.num) (BOUND_VARIABLE_311544 tptp.num)) (= (= BOUND_VARIABLE_311543 BOUND_VARIABLE_311544) (ho_6266 (ho_6623 k_6622 BOUND_VARIABLE_311543) BOUND_VARIABLE_311544))))) (let ((_let_12172 (forall ((BOUND_VARIABLE_311536 tptp.num) (BOUND_VARIABLE_311537 tptp.num)) (= (= BOUND_VARIABLE_311536 BOUND_VARIABLE_311537) (ho_6266 (ho_6623 k_6624 BOUND_VARIABLE_311536) BOUND_VARIABLE_311537))))) (let ((_let_12173 (forall ((BOUND_VARIABLE_311529 tptp.num) (BOUND_VARIABLE_311530 tptp.num)) (= (= BOUND_VARIABLE_311529 BOUND_VARIABLE_311530) (ho_6266 (ho_6623 k_6625 BOUND_VARIABLE_311529) BOUND_VARIABLE_311530))))) (let ((_let_12174 (forall ((BOUND_VARIABLE_311522 tptp.num) (BOUND_VARIABLE_311523 tptp.num)) (= (= BOUND_VARIABLE_311522 BOUND_VARIABLE_311523) (ho_6266 (ho_6623 k_6626 BOUND_VARIABLE_311522) BOUND_VARIABLE_311523))))) (let ((_let_12175 (forall ((BOUND_VARIABLE_311515 tptp.num) (BOUND_VARIABLE_311516 tptp.num)) (= (= BOUND_VARIABLE_311515 BOUND_VARIABLE_311516) (ho_6266 (ho_6623 k_6627 BOUND_VARIABLE_311515) BOUND_VARIABLE_311516))))) (let ((_let_12176 (forall ((BOUND_VARIABLE_311508 tptp.num) (BOUND_VARIABLE_311509 tptp.num)) (= (= BOUND_VARIABLE_311508 BOUND_VARIABLE_311509) (ho_6266 (ho_6623 k_6628 BOUND_VARIABLE_311508) BOUND_VARIABLE_311509))))) (let ((_let_12177 (forall ((BOUND_VARIABLE_362128 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_362127 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_311493 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311494 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_6629 BOUND_VARIABLE_362128) BOUND_VARIABLE_362127) BOUND_VARIABLE_311493) BOUND_VARIABLE_311494) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_362128 BOUND_VARIABLE_311493) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_362127 B4) BOUND_VARIABLE_311494))))))))) (let ((_let_12178 (forall ((BOUND_VARIABLE_362151 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_362150 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_311476 tptp.int) (BOUND_VARIABLE_311477 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_6630 BOUND_VARIABLE_362151) BOUND_VARIABLE_362150) BOUND_VARIABLE_311476) BOUND_VARIABLE_311477) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_362151 BOUND_VARIABLE_311476) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_362150 B4) BOUND_VARIABLE_311477))))))))) (let ((_let_12179 (forall ((BOUND_VARIABLE_362174 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_362173 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_311457 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311458 tptp.int)) (= (ho_5218 (ho_5383 (ho_5382 (ho_5381 k_6631 BOUND_VARIABLE_362174) BOUND_VARIABLE_362173) BOUND_VARIABLE_311457) BOUND_VARIABLE_311458) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_362174 BOUND_VARIABLE_311457) B4)) (not (ho_5218 (ho_5383 (ho_5388 k_5387 (ho_5386 (ho_5385 k_5384 tptp.top_top_set_int) BOUND_VARIABLE_362173)) B4) BOUND_VARIABLE_311458))))))))) (let ((_let_12180 (forall ((BOUND_VARIABLE_362196 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_311446 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6632 BOUND_VARIABLE_362196) BOUND_VARIABLE_311446) (ho_5218 (ho_5250 BOUND_VARIABLE_362196 (ho_5531 k_5530 BOUND_VARIABLE_311446)) (ho_5531 k_5532 BOUND_VARIABLE_311446)))))) (let ((_let_12181 (forall ((BOUND_VARIABLE_311438 tptp.int) (BOUND_VARIABLE_311439 tptp.int)) (= (= BOUND_VARIABLE_311438 BOUND_VARIABLE_311439) (ho_5218 (ho_5250 k_6633 BOUND_VARIABLE_311438) BOUND_VARIABLE_311439))))) (let ((_let_12182 (forall ((BOUND_VARIABLE_311431 tptp.int) (BOUND_VARIABLE_311432 tptp.int)) (= (= BOUND_VARIABLE_311431 BOUND_VARIABLE_311432) (ho_5218 (ho_5250 k_6634 BOUND_VARIABLE_311431) BOUND_VARIABLE_311432))))) (let ((_let_12183 (forall ((BOUND_VARIABLE_311424 tptp.int) (BOUND_VARIABLE_311425 tptp.int)) (= (= BOUND_VARIABLE_311424 BOUND_VARIABLE_311425) (ho_5218 (ho_5250 k_6635 BOUND_VARIABLE_311424) BOUND_VARIABLE_311425))))) (let ((_let_12184 (forall ((BOUND_VARIABLE_311417 tptp.int) (BOUND_VARIABLE_311418 tptp.int)) (= (= BOUND_VARIABLE_311417 BOUND_VARIABLE_311418) (ho_5218 (ho_5250 k_6636 BOUND_VARIABLE_311417) BOUND_VARIABLE_311418))))) (let ((_let_12185 (forall ((BOUND_VARIABLE_311410 tptp.int) (BOUND_VARIABLE_311411 tptp.int)) (= (= BOUND_VARIABLE_311410 BOUND_VARIABLE_311411) (ho_5218 (ho_5250 k_6637 BOUND_VARIABLE_311410) BOUND_VARIABLE_311411))))) (let ((_let_12186 (forall ((BOUND_VARIABLE_311403 tptp.int) (BOUND_VARIABLE_311404 tptp.int)) (= (= BOUND_VARIABLE_311403 BOUND_VARIABLE_311404) (ho_5218 (ho_5250 k_6638 BOUND_VARIABLE_311403) BOUND_VARIABLE_311404))))) (let ((_let_12187 (forall ((BOUND_VARIABLE_311396 tptp.int) (BOUND_VARIABLE_311397 tptp.int)) (= (= BOUND_VARIABLE_311396 BOUND_VARIABLE_311397) (ho_5218 (ho_5250 k_6639 BOUND_VARIABLE_311396) BOUND_VARIABLE_311397))))) (let ((_let_12188 (forall ((BOUND_VARIABLE_362258 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_311389 tptp.nat)) (= (ho_4593 (ho_5216 k_6640 BOUND_VARIABLE_362258) BOUND_VARIABLE_311389) (not (ho_4593 BOUND_VARIABLE_362258 BOUND_VARIABLE_311389)))))) (let ((_let_12189 (forall ((BOUND_VARIABLE_311374 tptp.nat) (BOUND_VARIABLE_311375 tptp.num)) (= (ho_6643 (ho_6642 k_6641 k_5392) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_311374) BOUND_VARIABLE_311375)) (ho_4527 (ho_4579 k_6644 BOUND_VARIABLE_311374) BOUND_VARIABLE_311375))))) (let ((_let_12190 (forall ((BOUND_VARIABLE_311366 tptp.int) (BOUND_VARIABLE_311367 tptp.code_integer)) (= (ho_6488 (ho_6484 k_6645 BOUND_VARIABLE_311366) BOUND_VARIABLE_311367) (ho_6488 (ho_6484 k_6646 BOUND_VARIABLE_311366) BOUND_VARIABLE_311367))))) (let ((_let_12191 (forall ((BOUND_VARIABLE_311359 tptp.num) (BOUND_VARIABLE_311360 tptp.num)) (= (= BOUND_VARIABLE_311359 BOUND_VARIABLE_311360) (ho_6266 (ho_6623 k_6647 BOUND_VARIABLE_311359) BOUND_VARIABLE_311360))))) (let ((_let_12192 (forall ((BOUND_VARIABLE_311352 tptp.int) (BOUND_VARIABLE_311353 tptp.int)) (= (= BOUND_VARIABLE_311352 BOUND_VARIABLE_311353) (ho_5218 (ho_5250 k_6648 BOUND_VARIABLE_311352) BOUND_VARIABLE_311353))))) (let ((_let_12193 (forall ((BOUND_VARIABLE_311345 tptp.num) (BOUND_VARIABLE_311346 tptp.num)) (= (= BOUND_VARIABLE_311345 BOUND_VARIABLE_311346) (ho_6266 (ho_6623 k_6649 BOUND_VARIABLE_311345) BOUND_VARIABLE_311346))))) (let ((_let_12194 (forall ((BOUND_VARIABLE_311267 tptp.code_integer) (BOUND_VARIABLE_311268 tptp.code_integer)) (let ((_let_1 (ho_5396 (ho_5395 k_6650 BOUND_VARIABLE_311267) BOUND_VARIABLE_311268))) (let ((_let_2 (ho_5395 k_5401 tptp.zero_z3403309356797280102nteger))) (let ((_let_3 (ho_6654 k_6653 tptp.zero_z3403309356797280102nteger))) (= (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311267)) (ho_5396 _let_2 tptp.zero_z3403309356797280102nteger)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_3 BOUND_VARIABLE_311268)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_3 BOUND_VARIABLE_311267)) _let_1) (ho_5405 (ho_6652 k_6651 (ho_5394 k_5393 BOUND_VARIABLE_311268)) _let_1))) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311268)) (ho_5396 _let_2 BOUND_VARIABLE_311267)) (ho_5405 (ho_5413 (ho_5412 k_5411 k_5410) k_5400) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 (ho_6654 k_6653 BOUND_VARIABLE_311267) tptp.zero_z3403309356797280102nteger)) _let_1) (ho_5405 (ho_6652 k_6651 (ho_5394 k_5406 BOUND_VARIABLE_311268)) _let_1)))))) (ho_5396 (ho_5395 k_6655 BOUND_VARIABLE_311267) BOUND_VARIABLE_311268)))))))) (let ((_let_12195 (forall ((BOUND_VARIABLE_311211 tptp.code_integer) (BOUND_VARIABLE_311212 tptp.code_integer)) (let ((_let_1 (ho_5396 (ho_5395 k_6650 BOUND_VARIABLE_311211) BOUND_VARIABLE_311212))) (let ((_let_2 (ho_5395 k_5401 tptp.zero_z3403309356797280102nteger))) (= (ho_5396 (ho_5395 k_6660 BOUND_VARIABLE_311211) BOUND_VARIABLE_311212) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311211)) (ho_5396 _let_2 tptp.zero_z3403309356797280102nteger)) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311212)) (ho_5396 _let_2 BOUND_VARIABLE_311211)) (ho_5405 (ho_5408 (ho_6659 (ho_6658 k_6657 k_5407) k_6656) BOUND_VARIABLE_311212) (ho_5405 (ho_5404 (ho_5403 k_5402 (= (ho_5399 k_6656 BOUND_VARIABLE_311212) (ho_5399 k_6656 BOUND_VARIABLE_311211))) _let_1) (ho_5405 (ho_6652 k_6651 (ho_5394 k_5414 BOUND_VARIABLE_311212)) _let_1))))))))))) (let ((_let_12196 (forall ((BOUND_VARIABLE_311155 tptp.code_integer)) (let ((_let_1 (ho_5462 k_5461 (ho_4529 k_4528 tptp.one)))) (let ((_let_2 (ho_5396 (ho_5395 k_6650 BOUND_VARIABLE_311155) _let_1))) (let ((_let_3 (ho_6488 (ho_6654 k_6653 BOUND_VARIABLE_311155) tptp.zero_z3403309356797280102nteger))) (let ((_let_4 (ho_5395 k_5401 tptp.zero_z3403309356797280102nteger))) (let ((_let_5 (ho_6654 k_6653 tptp.zero_z3403309356797280102nteger))) (let ((_let_6 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311155))) (= (ho_4914 (ho_5432 (ho_5435 k_5434 _let_3) (ho_4914 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)) (ho_5417 k_5416 (ho_5399 k_5400 BOUND_VARIABLE_311155)))) (ho_4914 (ho_5432 (ho_5435 k_5434 _let_6) tptp.zero_zero_int) (ho_6663 (ho_6662 k_6661 k_5436) (ho_5405 (ho_5404 (ho_5403 k_5402 _let_6) (ho_5396 _let_4 tptp.zero_z3403309356797280102nteger)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_5 _let_1)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_5 BOUND_VARIABLE_311155)) _let_2) (ho_5405 (ho_6652 k_6651 k_5460) _let_2))) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger _let_1)) (ho_5396 _let_4 BOUND_VARIABLE_311155)) (ho_5405 (ho_5413 (ho_5412 k_5411 k_5410) k_5400) (ho_5405 (ho_5404 (ho_5403 k_5402 _let_3) _let_2) (ho_5405 (ho_6652 k_6651 k_5463) _let_2))))))))) (ho_5417 k_6666 BOUND_VARIABLE_311155))))))))))) (let ((_let_12197 (forall ((BOUND_VARIABLE_311147 tptp.int)) (= (ho_5439 k_5438 BOUND_VARIABLE_311147) (ho_6671 k_6670 (ho_5369 (ho_6669 k_6668 k_6667) (ho_5378 k_5424 BOUND_VARIABLE_311147))))))) (let ((_let_12198 (forall ((BOUND_VARIABLE_311098 tptp.code_integer)) (let ((_let_1 (ho_5462 k_5461 (ho_4529 k_4528 tptp.one)))) (let ((_let_2 (ho_5396 (ho_5395 k_6650 BOUND_VARIABLE_311098) _let_1))) (let ((_let_3 (ho_5395 k_5401 tptp.zero_z3403309356797280102nteger))) (let ((_let_4 (ho_6654 k_6653 tptp.zero_z3403309356797280102nteger))) (= (ho_4529 (ho_5447 (ho_5449 k_5448 (ho_6488 (ho_6654 k_6675 BOUND_VARIABLE_311098) tptp.one_one_Code_integer)) tptp.one) (ho_6674 (ho_6673 k_6672 k_5450) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311098)) (ho_5396 _let_3 tptp.zero_z3403309356797280102nteger)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_4 _let_1)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_4 BOUND_VARIABLE_311098)) _let_2) (ho_5405 (ho_6652 k_6651 k_5460) _let_2))) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger _let_1)) (ho_5396 _let_3 BOUND_VARIABLE_311098)) (ho_5405 (ho_5413 (ho_5412 k_5411 k_5410) k_5400) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 (ho_6654 k_6653 BOUND_VARIABLE_311098) tptp.zero_z3403309356797280102nteger)) _let_2) (ho_5405 (ho_6652 k_6651 k_5463) _let_2)))))))) (ho_5445 k_6676 BOUND_VARIABLE_311098))))))))) (let ((_let_12199 (forall ((BOUND_VARIABLE_311045 tptp.code_integer)) (let ((_let_1 (ho_5462 k_5461 (ho_4529 k_4528 tptp.one)))) (let ((_let_2 (ho_5396 (ho_5395 k_6650 BOUND_VARIABLE_311045) _let_1))) (let ((_let_3 (ho_5395 k_5401 tptp.zero_z3403309356797280102nteger))) (let ((_let_4 (ho_6654 k_6653 tptp.zero_z3403309356797280102nteger))) (= (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_6488 (ho_6654 k_6675 BOUND_VARIABLE_311045) tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_nat) (ho_6679 (ho_6678 k_6677 k_5452) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311045)) (ho_5396 _let_3 tptp.zero_z3403309356797280102nteger)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_4 _let_1)) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 _let_4 BOUND_VARIABLE_311045)) _let_2) (ho_5405 (ho_6652 k_6651 k_5460) _let_2))) (ho_5405 (ho_5404 (ho_5403 k_5402 (= tptp.zero_z3403309356797280102nteger _let_1)) (ho_5396 _let_3 BOUND_VARIABLE_311045)) (ho_5405 (ho_5413 (ho_5412 k_5411 k_5410) k_5400) (ho_5405 (ho_5404 (ho_5403 k_5402 (ho_6488 (ho_6654 k_6653 BOUND_VARIABLE_311045) tptp.zero_z3403309356797280102nteger)) _let_2) (ho_5405 (ho_6652 k_6651 k_5463) _let_2)))))))) (ho_5454 k_6680 BOUND_VARIABLE_311045))))))))) (let ((_let_12200 (forall ((BOUND_VARIABLE_311036 tptp.nat) (BOUND_VARIABLE_311037 tptp.nat)) (= (ho_6683 (ho_6682 k_6681 BOUND_VARIABLE_311036) BOUND_VARIABLE_311037) (ho_6687 (ho_6686 k_6685 BOUND_VARIABLE_311036) (ho_6683 k_6684 BOUND_VARIABLE_311037)))))) (let ((_let_12201 (forall ((BOUND_VARIABLE_311027 tptp.nat) (BOUND_VARIABLE_311028 tptp.nat)) (= (ho_6683 (ho_6682 k_6688 BOUND_VARIABLE_311027) BOUND_VARIABLE_311028) (ho_6687 (ho_6686 k_6685 BOUND_VARIABLE_311027) (ho_6683 k_6684 BOUND_VARIABLE_311028)))))) (let ((_let_12202 (forall ((BOUND_VARIABLE_311018 tptp.nat) (BOUND_VARIABLE_311019 tptp.nat)) (= (ho_6683 (ho_6682 k_6689 BOUND_VARIABLE_311018) BOUND_VARIABLE_311019) (ho_6687 (ho_6686 k_6685 BOUND_VARIABLE_311018) (ho_6683 k_6684 BOUND_VARIABLE_311019)))))) (let ((_let_12203 (forall ((BOUND_VARIABLE_311009 tptp.nat) (BOUND_VARIABLE_311010 tptp.nat)) (= (ho_6683 (ho_6682 k_6690 BOUND_VARIABLE_311009) BOUND_VARIABLE_311010) (ho_6687 (ho_6686 k_6685 BOUND_VARIABLE_311009) (ho_6683 k_6684 BOUND_VARIABLE_311010)))))) (let ((_let_12204 (forall ((BOUND_VARIABLE_310998 tptp.nat) (BOUND_VARIABLE_310999 tptp.nat)) (= (ho_4855 (ho_5457 k_6691 BOUND_VARIABLE_310998) BOUND_VARIABLE_310999) (ho_4855 (ho_5457 k_5456 (ho_4855 k_6692 (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_310998) BOUND_VARIABLE_310999))) BOUND_VARIABLE_310998))))) (let ((_let_12205 (forall ((BOUND_VARIABLE_310990 tptp.int)) (= (ho_4891 k_6693 BOUND_VARIABLE_310990) (ho_5369 (ho_6669 k_6668 k_6667) (ho_5378 k_5424 (ho_4914 k_6694 BOUND_VARIABLE_310990))))))) (let ((_let_12206 (forall ((BOUND_VARIABLE_310982 tptp.int)) (= (ho_4891 k_6695 BOUND_VARIABLE_310982) (ho_5369 (ho_6669 k_6668 k_6667) (ho_5378 k_5424 (ho_4914 k_6694 BOUND_VARIABLE_310982))))))) (let ((_let_12207 (forall ((BOUND_VARIABLE_310974 tptp.int)) (= (ho_4891 k_6696 BOUND_VARIABLE_310974) (ho_5369 (ho_6669 k_6668 k_6667) (ho_5378 k_5424 (ho_4914 k_6694 BOUND_VARIABLE_310974))))))) (let ((_let_12208 (forall ((BOUND_VARIABLE_310956 tptp.set_nat) (BOUND_VARIABLE_310957 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_310957)) (ho_4765 (ho_4764 k_4763 k_5464) BOUND_VARIABLE_310956))) (ho_4593 (ho_4762 k_6697 BOUND_VARIABLE_310956) BOUND_VARIABLE_310957))))) (let ((_let_12209 (forall ((BOUND_VARIABLE_310924 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310925 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5471 BOUND_VARIABLE_310924)) BOUND_VARIABLE_310925) (ho_4575 (ho_5379 k_6698 BOUND_VARIABLE_310924) BOUND_VARIABLE_310925))))) (let ((_let_12210 (forall ((BOUND_VARIABLE_310892 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310893 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5473 BOUND_VARIABLE_310892)) BOUND_VARIABLE_310893) (ho_4575 (ho_5379 k_6699 BOUND_VARIABLE_310892) BOUND_VARIABLE_310893))))) (let ((_let_12211 (forall ((BOUND_VARIABLE_310885 Bool) (BOUND_VARIABLE_310886 Bool)) (= (= BOUND_VARIABLE_310885 BOUND_VARIABLE_310886) (ho_5235 (ho_6701 k_6700 BOUND_VARIABLE_310885) BOUND_VARIABLE_310886))))) (let ((_let_12212 (forall ((BOUND_VARIABLE_310853 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310854 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5474 BOUND_VARIABLE_310853)) BOUND_VARIABLE_310854) (ho_4575 (ho_5379 k_6702 BOUND_VARIABLE_310853) BOUND_VARIABLE_310854))))) (let ((_let_12213 (forall ((BOUND_VARIABLE_310821 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310822 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5475 BOUND_VARIABLE_310821)) BOUND_VARIABLE_310822) (ho_4575 (ho_5379 k_6703 BOUND_VARIABLE_310821) BOUND_VARIABLE_310822))))) (let ((_let_12214 (forall ((BOUND_VARIABLE_310814 tptp.nat) (BOUND_VARIABLE_310815 tptp.nat)) (= (= BOUND_VARIABLE_310814 BOUND_VARIABLE_310815) (ho_4593 (ho_4511 k_6704 BOUND_VARIABLE_310814) BOUND_VARIABLE_310815))))) (let ((_let_12215 (forall ((BOUND_VARIABLE_310806 tptp.nat) (BOUND_VARIABLE_310807 tptp.nat)) (= (ho_4518 (ho_4517 k_6705 BOUND_VARIABLE_310806) BOUND_VARIABLE_310807) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_310807) BOUND_VARIABLE_310806))))) (let ((_let_12216 (forall ((BOUND_VARIABLE_310798 tptp.nat) (BOUND_VARIABLE_310799 tptp.nat)) (= (ho_4518 (ho_4517 k_6706 BOUND_VARIABLE_310798) BOUND_VARIABLE_310799) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_310799) BOUND_VARIABLE_310798))))) (let ((_let_12217 (forall ((BOUND_VARIABLE_310791 Bool) (BOUND_VARIABLE_310792 Bool)) (= (= BOUND_VARIABLE_310791 BOUND_VARIABLE_310792) (ho_5235 (ho_6701 k_6707 BOUND_VARIABLE_310791) BOUND_VARIABLE_310792))))) (let ((_let_12218 (forall ((BOUND_VARIABLE_310759 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310760 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5476 BOUND_VARIABLE_310759)) BOUND_VARIABLE_310760) (ho_4575 (ho_5379 k_6708 BOUND_VARIABLE_310759) BOUND_VARIABLE_310760))))) (let ((_let_12219 (forall ((BOUND_VARIABLE_310727 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310728 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5477 BOUND_VARIABLE_310727)) BOUND_VARIABLE_310728) (ho_4575 (ho_5379 k_6709 BOUND_VARIABLE_310727) BOUND_VARIABLE_310728))))) (let ((_let_12220 (forall ((BOUND_VARIABLE_310693 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310694 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5478 BOUND_VARIABLE_310693)) BOUND_VARIABLE_310694) (ho_6605 (ho_5421 k_6710 BOUND_VARIABLE_310693) BOUND_VARIABLE_310694))))) (let ((_let_12221 (forall ((BOUND_VARIABLE_310659 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310660 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5480 BOUND_VARIABLE_310659)) BOUND_VARIABLE_310660) (ho_6605 (ho_5421 k_6711 BOUND_VARIABLE_310659) BOUND_VARIABLE_310660))))) (let ((_let_12222 (forall ((BOUND_VARIABLE_310625 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310626 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5481 BOUND_VARIABLE_310625)) BOUND_VARIABLE_310626) (ho_6605 (ho_5421 k_6712 BOUND_VARIABLE_310625) BOUND_VARIABLE_310626))))) (let ((_let_12223 (forall ((BOUND_VARIABLE_310591 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310592 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5482 BOUND_VARIABLE_310591)) BOUND_VARIABLE_310592) (ho_6605 (ho_5421 k_6713 BOUND_VARIABLE_310591) BOUND_VARIABLE_310592))))) (let ((_let_12224 (forall ((BOUND_VARIABLE_310561 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310562 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5483 BOUND_VARIABLE_310561)) BOUND_VARIABLE_310562) (ho_4575 (ho_5379 k_6714 BOUND_VARIABLE_310561) BOUND_VARIABLE_310562))))) (let ((_let_12225 (forall ((BOUND_VARIABLE_310515 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310516 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5485 BOUND_VARIABLE_310515)) BOUND_VARIABLE_310516) (ho_6605 (ho_5421 k_6715 BOUND_VARIABLE_310515) BOUND_VARIABLE_310516))))) (let ((_let_12226 (forall ((BOUND_VARIABLE_310469 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310470 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5486 BOUND_VARIABLE_310469)) BOUND_VARIABLE_310470) (ho_6605 (ho_5421 k_6716 BOUND_VARIABLE_310469) BOUND_VARIABLE_310470))))) (let ((_let_12227 (forall ((BOUND_VARIABLE_310447 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310448 tptp.nat) (BOUND_VARIABLE_310449 tptp.nat)) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_310447)) BOUND_VARIABLE_310449)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_310448) (ho_5369 k_5368 BOUND_VARIABLE_310447))) (ho_4593 (ho_4511 (ho_5472 k_6717 BOUND_VARIABLE_310447) BOUND_VARIABLE_310448) BOUND_VARIABLE_310449))))) (let ((_let_12228 (forall ((BOUND_VARIABLE_310423 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310424 tptp.nat) (BOUND_VARIABLE_310425 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_5423 k_5422 BOUND_VARIABLE_310423)))) (= (ho_4593 (ho_4511 k_4594 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_310425)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_310424) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5472 k_6718 BOUND_VARIABLE_310423) BOUND_VARIABLE_310424) BOUND_VARIABLE_310425)))))) (let ((_let_12229 (forall ((BOUND_VARIABLE_310377 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310378 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5487 BOUND_VARIABLE_310377)) BOUND_VARIABLE_310378) (ho_6605 (ho_5421 k_6719 BOUND_VARIABLE_310377) BOUND_VARIABLE_310378))))) (let ((_let_12230 (forall ((BOUND_VARIABLE_310355 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310356 tptp.nat) (BOUND_VARIABLE_310357 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_310355)) BOUND_VARIABLE_310357)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_310355)) BOUND_VARIABLE_310356)) (ho_4518 (ho_4517 (ho_5479 k_6720 BOUND_VARIABLE_310355) BOUND_VARIABLE_310356) BOUND_VARIABLE_310357))))) (let ((_let_12231 (forall ((BOUND_VARIABLE_310333 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310334 tptp.nat) (BOUND_VARIABLE_310335 tptp.nat)) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_310333)) BOUND_VARIABLE_310334)) (ho_4855 (ho_5457 k_5456 (ho_5369 k_5368 BOUND_VARIABLE_310333)) BOUND_VARIABLE_310335)) (ho_4518 (ho_4517 (ho_5479 k_6721 BOUND_VARIABLE_310333) BOUND_VARIABLE_310334) BOUND_VARIABLE_310335))))) (let ((_let_12232 (forall ((BOUND_VARIABLE_310300 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310301 tptp.nat) (BOUND_VARIABLE_310302 tptp.nat)) (let ((_let_1 (ho_5457 k_5484 (ho_5369 k_5368 BOUND_VARIABLE_310300)))) (let ((_let_2 (ho_5457 k_5484 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_310300)))) (= (ho_4518 (ho_4517 k_4516 (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_310301)) (ho_4855 _let_1 BOUND_VARIABLE_310302))) (ho_4855 (ho_5457 k_5456 (ho_4855 _let_2 BOUND_VARIABLE_310302)) (ho_4855 _let_1 BOUND_VARIABLE_310301))) (ho_4518 (ho_4517 (ho_5479 k_6722 BOUND_VARIABLE_310300) BOUND_VARIABLE_310301) BOUND_VARIABLE_310302))))))) (let ((_let_12233 (forall ((BOUND_VARIABLE_310292 tptp.nat) (BOUND_VARIABLE_310293 tptp.nat)) (= (ho_4518 (ho_4517 k_6723 BOUND_VARIABLE_310292) BOUND_VARIABLE_310293) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_310293) BOUND_VARIABLE_310292))))) (let ((_let_12234 (forall ((BOUND_VARIABLE_310284 tptp.nat) (BOUND_VARIABLE_310285 tptp.nat)) (= (ho_4518 (ho_4517 k_6724 BOUND_VARIABLE_310284) BOUND_VARIABLE_310285) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_310285) BOUND_VARIABLE_310284))))) (let ((_let_12235 (forall ((BOUND_VARIABLE_310277 tptp.int)) (= (ho_4891 k_6725 BOUND_VARIABLE_310277) (ho_5369 (ho_6669 k_6668 k_6667) (ho_5378 k_5424 BOUND_VARIABLE_310277)))))) (let ((_let_12236 (forall ((BOUND_VARIABLE_310270 tptp.nat) (BOUND_VARIABLE_310271 tptp.nat)) (= (= BOUND_VARIABLE_310270 BOUND_VARIABLE_310271) (ho_4593 (ho_4511 k_6726 BOUND_VARIABLE_310270) BOUND_VARIABLE_310271))))) (let ((_let_12237 (forall ((BOUND_VARIABLE_310236 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310237 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5488 BOUND_VARIABLE_310236)) BOUND_VARIABLE_310237) (ho_6605 (ho_5421 k_6727 BOUND_VARIABLE_310236) BOUND_VARIABLE_310237))))) (let ((_let_12238 (forall ((BOUND_VARIABLE_310202 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310203 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5489 BOUND_VARIABLE_310202)) BOUND_VARIABLE_310203) (ho_6605 (ho_5421 k_5433 BOUND_VARIABLE_310202) BOUND_VARIABLE_310203))))) (let ((_let_12239 (forall ((BOUND_VARIABLE_310168 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310169 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5490 BOUND_VARIABLE_310168)) BOUND_VARIABLE_310169) (ho_6605 (ho_5421 k_6728 BOUND_VARIABLE_310168) BOUND_VARIABLE_310169))))) (let ((_let_12240 (forall ((BOUND_VARIABLE_310136 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310137 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5491 BOUND_VARIABLE_310136)) BOUND_VARIABLE_310137) (ho_4575 (ho_5379 k_6729 BOUND_VARIABLE_310136) BOUND_VARIABLE_310137))))) (let ((_let_12241 (forall ((BOUND_VARIABLE_310101 tptp.int) (BOUND_VARIABLE_310102 tptp.int)) (= (ho_4575 (ho_4513 k_4512 (ho_5493 k_5492 BOUND_VARIABLE_310101)) (ho_5378 k_5424 BOUND_VARIABLE_310102)) (ho_5218 (ho_5250 k_6730 BOUND_VARIABLE_310101) BOUND_VARIABLE_310102))))) (let ((_let_12242 (forall ((BOUND_VARIABLE_310094 Bool) (BOUND_VARIABLE_310095 Bool)) (= (= BOUND_VARIABLE_310094 BOUND_VARIABLE_310095) (ho_5235 (ho_6701 k_6731 BOUND_VARIABLE_310094) BOUND_VARIABLE_310095))))) (let ((_let_12243 (forall ((BOUND_VARIABLE_310072 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310073 tptp.nat) (BOUND_VARIABLE_310074 tptp.nat)) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_310072)) BOUND_VARIABLE_310074)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_310073) (ho_5369 k_5368 BOUND_VARIABLE_310072))) (ho_4593 (ho_4511 (ho_5472 k_6732 BOUND_VARIABLE_310072) BOUND_VARIABLE_310073) BOUND_VARIABLE_310074))))) (let ((_let_12244 (forall ((BOUND_VARIABLE_310048 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310049 tptp.nat) (BOUND_VARIABLE_310050 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_5423 k_5422 BOUND_VARIABLE_310048)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_310050)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_310049) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5472 k_6733 BOUND_VARIABLE_310048) BOUND_VARIABLE_310049) BOUND_VARIABLE_310050)))))) (let ((_let_12245 (forall ((BOUND_VARIABLE_310016 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310017 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 k_5494 BOUND_VARIABLE_310016)) BOUND_VARIABLE_310017) (ho_4575 (ho_5379 k_6734 BOUND_VARIABLE_310016) BOUND_VARIABLE_310017))))) (let ((_let_12246 (forall ((BOUND_VARIABLE_309981 tptp.int) (BOUND_VARIABLE_309982 tptp.int)) (= (ho_4575 (ho_4513 k_4512 (ho_5493 k_5495 BOUND_VARIABLE_309981)) (ho_5378 k_5424 BOUND_VARIABLE_309982)) (ho_5218 (ho_5250 k_6735 BOUND_VARIABLE_309981) BOUND_VARIABLE_309982))))) (let ((_let_12247 (forall ((BOUND_VARIABLE_309955 tptp.product_prod_nat_nat) (BOUND_VARIABLE_309956 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_6739 (ho_6738 k_6737 k_5496) k_5497) BOUND_VARIABLE_309955) B4)) (not (ho_5218 (ho_5383 k_6736 B4) BOUND_VARIABLE_309956))))) (ho_5218 (ho_5383 k_6740 BOUND_VARIABLE_309955) BOUND_VARIABLE_309956))))) (let ((_let_12248 (forall ((BOUND_VARIABLE_309948 Bool) (BOUND_VARIABLE_309949 Bool)) (= (= BOUND_VARIABLE_309948 BOUND_VARIABLE_309949) (ho_5235 (ho_6701 k_6741 BOUND_VARIABLE_309948) BOUND_VARIABLE_309949))))) (let ((_let_12249 (forall ((BOUND_VARIABLE_309939 tptp.nat)) (= (ho_4593 k_6742 BOUND_VARIABLE_309939) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309939)) (ho_4765 (ho_4764 k_4763 k_6743) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))))))) (let ((_let_12250 (forall ((BOUND_VARIABLE_309921 tptp.nat) (BOUND_VARIABLE_309922 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 tptp.zero_zero_int))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_309922)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_309921) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 k_6744 BOUND_VARIABLE_309921) BOUND_VARIABLE_309922)))))) (let ((_let_12251 (forall ((BOUND_VARIABLE_309905 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_309905)) (ho_4959 (ho_4958 k_4957 k_5507) tptp.top_top_set_o))) (ho_4544 k_6745 BOUND_VARIABLE_309905))))) (let ((_let_12252 (forall ((BOUND_VARIABLE_309889 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_309889)) (ho_4959 (ho_4958 k_4957 k_5509) tptp.top_top_set_o))) (ho_4544 k_6746 BOUND_VARIABLE_309889))))) (let ((_let_12253 (forall ((BOUND_VARIABLE_309878 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_309878) (ho_6753 (ho_6752 k_6751 tptp.less_than) tptp.less_than)) (ho_6750 k_6749 k_6747)) (ho_5499 k_5498 BOUND_VARIABLE_309878))))) (let ((_let_12254 (forall ((BOUND_VARIABLE_309866 tptp.int) (BOUND_VARIABLE_309867 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5433) BOUND_VARIABLE_309867) BOUND_VARIABLE_309866) (ho_4914 (ho_5432 k_6754 BOUND_VARIABLE_309866) BOUND_VARIABLE_309867))))) (let ((_let_12255 (forall ((BOUND_VARIABLE_309832 tptp.product_prod_nat_nat) (BOUND_VARIABLE_309833 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5510 BOUND_VARIABLE_309832)) BOUND_VARIABLE_309833) (ho_6605 (ho_5421 k_6755 BOUND_VARIABLE_309832) BOUND_VARIABLE_309833))))) (let ((_let_12256 (forall ((BOUND_VARIABLE_309823 tptp.nat)) (= (ho_4593 k_6756 BOUND_VARIABLE_309823) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309823)) (ho_4765 (ho_4764 k_4763 k_6757) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))))))) (let ((_let_12257 (forall ((BOUND_VARIABLE_309814 tptp.nat)) (= (ho_4593 k_6758 BOUND_VARIABLE_309814) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309814)) (ho_4765 (ho_4764 k_4763 k_6759) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))))))) (let ((_let_12258 (forall ((BOUND_VARIABLE_309789 tptp.nat) (BOUND_VARIABLE_309790 tptp.nat)) (= (ho_6605 (ho_5421 (ho_6762 k_6761 (or (= tptp.zero_zero_nat BOUND_VARIABLE_309790) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309789) BOUND_VARIABLE_309790))) (ho_4518 (ho_4517 k_4516 tptp.zero_zero_nat) BOUND_VARIABLE_309789)) (ho_6605 (ho_5467 k_5466 k_5511) (ho_4518 (ho_4517 k_6760 (ho_4855 (ho_5457 k_6667 BOUND_VARIABLE_309789) BOUND_VARIABLE_309790)) BOUND_VARIABLE_309790))) (ho_4518 (ho_4517 k_6763 BOUND_VARIABLE_309789) BOUND_VARIABLE_309790))))) (let ((_let_12259 (forall ((BOUND_VARIABLE_309781 tptp.nat) (BOUND_VARIABLE_309782 tptp.nat)) (= (ho_4855 (ho_5457 k_6764 BOUND_VARIABLE_309781) BOUND_VARIABLE_309782) (ho_4855 (ho_5457 k_6765 BOUND_VARIABLE_309782) BOUND_VARIABLE_309781))))) (let ((_let_12260 (forall ((BOUND_VARIABLE_309773 tptp.nat) (BOUND_VARIABLE_309774 tptp.nat)) (= (ho_4855 (ho_5457 k_6766 BOUND_VARIABLE_309773) BOUND_VARIABLE_309774) (ho_4855 (ho_5457 k_6667 BOUND_VARIABLE_309774) BOUND_VARIABLE_309773))))) (let ((_let_12261 (forall ((BOUND_VARIABLE_309765 tptp.nat) (BOUND_VARIABLE_309766 tptp.nat)) (= (ho_4855 (ho_5457 k_6767 BOUND_VARIABLE_309765) BOUND_VARIABLE_309766) (ho_4855 (ho_5457 k_6667 BOUND_VARIABLE_309766) BOUND_VARIABLE_309765))))) (let ((_let_12262 (forall ((BOUND_VARIABLE_309757 tptp.nat) (BOUND_VARIABLE_309758 tptp.nat)) (= (ho_4855 (ho_5457 k_6768 BOUND_VARIABLE_309757) BOUND_VARIABLE_309758) (ho_4855 (ho_5457 k_6667 BOUND_VARIABLE_309758) BOUND_VARIABLE_309757))))) (let ((_let_12263 (forall ((BOUND_VARIABLE_309743 tptp.nat) (BOUND_VARIABLE_309744 tptp.nat) (BOUND_VARIABLE_309745 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6769 BOUND_VARIABLE_309743) BOUND_VARIABLE_309744) BOUND_VARIABLE_309745) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309744) BOUND_VARIABLE_309743) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309745) BOUND_VARIABLE_309743) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309744) BOUND_VARIABLE_309745)))))) (let ((_let_12264 (forall ((BOUND_VARIABLE_309693 tptp.nat) (BOUND_VARIABLE_309694 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309694)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_5513 BOUND_VARIABLE_309693)) (ho_4845 k_4844 (ho_4511 k_5514 BOUND_VARIABLE_309693))))) (ho_4575 (ho_4574 k_6771 BOUND_VARIABLE_309693) BOUND_VARIABLE_309694))))) (let ((_let_12265 (forall ((BOUND_VARIABLE_309679 tptp.nat) (BOUND_VARIABLE_309680 tptp.nat) (BOUND_VARIABLE_309681 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6772 BOUND_VARIABLE_309679) BOUND_VARIABLE_309680) BOUND_VARIABLE_309681) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309680) BOUND_VARIABLE_309679) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309681) BOUND_VARIABLE_309679) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309680) BOUND_VARIABLE_309681)))))) (let ((_let_12266 (forall ((BOUND_VARIABLE_309643 tptp.nat) (BOUND_VARIABLE_309644 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309644)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_5515 BOUND_VARIABLE_309643)) (ho_4551 (ho_4850 k_4849 (ho_4515 k_4514 (ho_4513 k_4512 k_4848))) BOUND_VARIABLE_309643)))) (ho_4575 (ho_4574 k_6773 BOUND_VARIABLE_309643) BOUND_VARIABLE_309644))))) (let ((_let_12267 (forall ((BOUND_VARIABLE_309629 tptp.nat) (BOUND_VARIABLE_309630 tptp.nat) (BOUND_VARIABLE_309631 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6774 BOUND_VARIABLE_309629) BOUND_VARIABLE_309630) BOUND_VARIABLE_309631) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309630) BOUND_VARIABLE_309629) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309631) BOUND_VARIABLE_309629) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309630) BOUND_VARIABLE_309631)))))) (let ((_let_12268 (forall ((BOUND_VARIABLE_309615 tptp.nat) (BOUND_VARIABLE_309616 tptp.nat) (BOUND_VARIABLE_309617 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6775 BOUND_VARIABLE_309615) BOUND_VARIABLE_309616) BOUND_VARIABLE_309617) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309616) BOUND_VARIABLE_309615) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309617) BOUND_VARIABLE_309615) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309616) BOUND_VARIABLE_309617)))))) (let ((_let_12269 (forall ((BOUND_VARIABLE_309601 tptp.nat) (BOUND_VARIABLE_309602 tptp.nat) (BOUND_VARIABLE_309603 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6776 BOUND_VARIABLE_309601) BOUND_VARIABLE_309602) BOUND_VARIABLE_309603) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309602) BOUND_VARIABLE_309601) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309603) BOUND_VARIABLE_309601) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309602) BOUND_VARIABLE_309603)))))) (let ((_let_12270 (forall ((BOUND_VARIABLE_309593 tptp.nat) (BOUND_VARIABLE_309594 tptp.nat)) (= (ho_4593 (ho_4511 k_6777 BOUND_VARIABLE_309593) BOUND_VARIABLE_309594) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309594) BOUND_VARIABLE_309593))))) (let ((_let_12271 (forall ((BOUND_VARIABLE_309579 tptp.nat) (BOUND_VARIABLE_309580 tptp.nat) (BOUND_VARIABLE_309581 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6778 BOUND_VARIABLE_309579) BOUND_VARIABLE_309580) BOUND_VARIABLE_309581) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309580) BOUND_VARIABLE_309579) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309581) BOUND_VARIABLE_309579) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309580) BOUND_VARIABLE_309581)))))) (let ((_let_12272 (forall ((BOUND_VARIABLE_309565 tptp.nat) (BOUND_VARIABLE_309566 tptp.nat) (BOUND_VARIABLE_309567 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6770 k_6779 BOUND_VARIABLE_309565) BOUND_VARIABLE_309566) BOUND_VARIABLE_309567) (and (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309566) BOUND_VARIABLE_309565) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309567) BOUND_VARIABLE_309565) (ho_4593 (ho_4511 k_4848 BOUND_VARIABLE_309566) BOUND_VARIABLE_309567)))))) (let ((_let_12273 (forall ((BOUND_VARIABLE_309557 tptp.nat) (BOUND_VARIABLE_309558 tptp.nat)) (= (ho_4593 (ho_4511 k_6780 BOUND_VARIABLE_309557) BOUND_VARIABLE_309558) (ho_4593 (ho_4511 k_4594 BOUND_VARIABLE_309558) BOUND_VARIABLE_309557))))) (let ((_let_12274 (forall ((BOUND_VARIABLE_363477 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_363476 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_309550 tptp.nat)) (= (ho_4925 (ho_6783 (ho_6782 k_6781 BOUND_VARIABLE_363477) BOUND_VARIABLE_363476) BOUND_VARIABLE_309550) (ho_4925 BOUND_VARIABLE_363477 (ho_4855 BOUND_VARIABLE_363476 BOUND_VARIABLE_309550)))))) (let ((_let_12275 (forall ((BOUND_VARIABLE_363499 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_363498 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_309541 tptp.nat)) (= (ho_6357 (ho_6786 (ho_6785 k_6784 BOUND_VARIABLE_363499) BOUND_VARIABLE_363498) BOUND_VARIABLE_309541) (ho_6357 BOUND_VARIABLE_363499 (ho_4855 BOUND_VARIABLE_363498 BOUND_VARIABLE_309541)))))) (let ((_let_12276 (forall ((BOUND_VARIABLE_363521 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_363520 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_309532 tptp.nat)) (= (ho_4855 (ho_6789 (ho_6788 k_6787 BOUND_VARIABLE_363521) BOUND_VARIABLE_363520) BOUND_VARIABLE_309532) (ho_4891 BOUND_VARIABLE_363521 (ho_4925 BOUND_VARIABLE_363520 BOUND_VARIABLE_309532)))))) (let ((_let_12277 (forall ((BOUND_VARIABLE_363544 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_363542 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_309523 tptp.nat)) (= (ho_4855 (ho_6793 (ho_6792 k_6791 BOUND_VARIABLE_363544) BOUND_VARIABLE_363542) BOUND_VARIABLE_309523) (ho_6790 BOUND_VARIABLE_363544 (ho_6357 BOUND_VARIABLE_363542 BOUND_VARIABLE_309523)))))) (let ((_let_12278 (forall ((BOUND_VARIABLE_363568 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_363567 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_309514 tptp.nat)) (= (ho_4925 (ho_6796 (ho_6795 k_6794 BOUND_VARIABLE_363568) BOUND_VARIABLE_363567) BOUND_VARIABLE_309514) (ho_4914 BOUND_VARIABLE_363568 (ho_4925 BOUND_VARIABLE_363567 BOUND_VARIABLE_309514)))))) (let ((_let_12279 (forall ((BOUND_VARIABLE_363589 |u_(-> tptp.int tptp.rat)|) (BOUND_VARIABLE_363588 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_309505 tptp.nat)) (= (ho_6357 (ho_6799 (ho_6798 k_6797 BOUND_VARIABLE_363589) BOUND_VARIABLE_363588) BOUND_VARIABLE_309505) (ho_6617 BOUND_VARIABLE_363589 (ho_4925 BOUND_VARIABLE_363588 BOUND_VARIABLE_309505)))))) (let ((_let_12280 (forall ((BOUND_VARIABLE_363612 |u_(-> tptp.rat tptp.int)|) (BOUND_VARIABLE_363610 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_309496 tptp.nat)) (= (ho_4925 (ho_6803 (ho_6802 k_6801 BOUND_VARIABLE_363612) BOUND_VARIABLE_363610) BOUND_VARIABLE_309496) (ho_6800 BOUND_VARIABLE_363612 (ho_6357 BOUND_VARIABLE_363610 BOUND_VARIABLE_309496)))))) (let ((_let_12281 (forall ((BOUND_VARIABLE_363637 |u_(-> tptp.rat tptp.rat)|) (BOUND_VARIABLE_363635 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_309487 tptp.nat)) (= (ho_6357 (ho_6807 (ho_6806 k_6805 BOUND_VARIABLE_363637) BOUND_VARIABLE_363635) BOUND_VARIABLE_309487) (ho_6804 BOUND_VARIABLE_363637 (ho_6357 BOUND_VARIABLE_363635 BOUND_VARIABLE_309487)))))) (let ((_let_12282 (forall ((BOUND_VARIABLE_363660 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_363659 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_309478 tptp.rat)) (= (ho_6790 (ho_6810 (ho_6809 k_6808 BOUND_VARIABLE_363660) BOUND_VARIABLE_363659) BOUND_VARIABLE_309478) (ho_4855 BOUND_VARIABLE_363660 (ho_6790 BOUND_VARIABLE_363659 BOUND_VARIABLE_309478)))))) (let ((_let_12283 (forall ((BOUND_VARIABLE_363684 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_363681 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_309469 tptp.char)) (= (ho_6811 (ho_6814 (ho_6813 k_6812 BOUND_VARIABLE_363684) BOUND_VARIABLE_363681) BOUND_VARIABLE_309469) (ho_4855 BOUND_VARIABLE_363684 (ho_6811 BOUND_VARIABLE_363681 BOUND_VARIABLE_309469)))))) (let ((_let_12284 (forall ((BOUND_VARIABLE_309453 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_363705 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_309455 tptp.product_prod_nat_nat) (BOUND_VARIABLE_309456 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 (ho_6817 (ho_6816 k_6815 BOUND_VARIABLE_309453) BOUND_VARIABLE_363705) BOUND_VARIABLE_309455) BOUND_VARIABLE_309456) (and (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_309456) BOUND_VARIABLE_309453) (= (ho_5369 BOUND_VARIABLE_363705 BOUND_VARIABLE_309455) (ho_5369 BOUND_VARIABLE_363705 BOUND_VARIABLE_309456))))))) (let ((_let_12285 (forall ((BOUND_VARIABLE_309439 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_363733 |u_(-> tptp.product_prod_int_int tptp.nat)|) (BOUND_VARIABLE_309441 tptp.product_prod_int_int) (BOUND_VARIABLE_309442 tptp.product_prod_int_int)) (= (ho_4599 (ho_6822 (ho_6821 (ho_6820 k_6819 BOUND_VARIABLE_309439) BOUND_VARIABLE_363733) BOUND_VARIABLE_309441) BOUND_VARIABLE_309442) (and (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_309442) BOUND_VARIABLE_309439) (= (ho_6818 BOUND_VARIABLE_363733 BOUND_VARIABLE_309441) (ho_6818 BOUND_VARIABLE_363733 BOUND_VARIABLE_309442))))))) (let ((_let_12286 (forall ((BOUND_VARIABLE_309425 tptp.set_int) (BOUND_VARIABLE_363765 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_309427 tptp.int) (BOUND_VARIABLE_309428 tptp.int)) (= (ho_5218 (ho_5250 (ho_6598 (ho_6824 k_6823 BOUND_VARIABLE_309425) BOUND_VARIABLE_363765) BOUND_VARIABLE_309427) BOUND_VARIABLE_309428) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_309428) BOUND_VARIABLE_309425) (= (ho_5378 BOUND_VARIABLE_363765 BOUND_VARIABLE_309427) (ho_5378 BOUND_VARIABLE_363765 BOUND_VARIABLE_309428))))))) (let ((_let_12287 (forall ((BOUND_VARIABLE_309411 tptp.set_o) (BOUND_VARIABLE_363789 |u_(-> Bool tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_309413 Bool) (BOUND_VARIABLE_309414 Bool)) (= (ho_5235 (ho_6701 (ho_6828 (ho_6827 k_6826 BOUND_VARIABLE_309411) BOUND_VARIABLE_363789) BOUND_VARIABLE_309413) BOUND_VARIABLE_309414) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_309414) BOUND_VARIABLE_309411) (= (ho_6825 BOUND_VARIABLE_363789 BOUND_VARIABLE_309413) (ho_6825 BOUND_VARIABLE_363789 BOUND_VARIABLE_309414))))))) (let ((_let_12288 (forall ((BOUND_VARIABLE_309397 tptp.set_nat) (BOUND_VARIABLE_363818 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_309399 tptp.nat) (BOUND_VARIABLE_309400 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5534 (ho_6830 k_6829 BOUND_VARIABLE_309397) BOUND_VARIABLE_363818) BOUND_VARIABLE_309399) BOUND_VARIABLE_309400) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_309400) BOUND_VARIABLE_309397) (= (ho_4855 BOUND_VARIABLE_363818 BOUND_VARIABLE_309399) (ho_4855 BOUND_VARIABLE_363818 BOUND_VARIABLE_309400))))))) (let ((_let_12289 (forall ((BOUND_VARIABLE_309383 tptp.set_nat) (BOUND_VARIABLE_363841 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_309385 tptp.nat) (BOUND_VARIABLE_309386 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6833 (ho_6832 k_6831 BOUND_VARIABLE_309383) BOUND_VARIABLE_363841) BOUND_VARIABLE_309385) BOUND_VARIABLE_309386) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_309386) BOUND_VARIABLE_309383) (= (ho_4925 BOUND_VARIABLE_363841 BOUND_VARIABLE_309385) (ho_4925 BOUND_VARIABLE_363841 BOUND_VARIABLE_309386))))))) (let ((_let_12290 (forall ((BOUND_VARIABLE_309369 tptp.set_nat) (BOUND_VARIABLE_363868 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_309371 tptp.nat) (BOUND_VARIABLE_309372 tptp.nat)) (= (ho_4593 (ho_4511 (ho_6836 (ho_6835 k_6834 BOUND_VARIABLE_309369) BOUND_VARIABLE_363868) BOUND_VARIABLE_309371) BOUND_VARIABLE_309372) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_309372) BOUND_VARIABLE_309369) (= (ho_6357 BOUND_VARIABLE_363868 BOUND_VARIABLE_309371) (ho_6357 BOUND_VARIABLE_363868 BOUND_VARIABLE_309372))))))) (let ((_let_12291 (forall ((BOUND_VARIABLE_309355 tptp.set_int) (BOUND_VARIABLE_363895 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_309357 tptp.int) (BOUND_VARIABLE_309358 tptp.int)) (= (ho_5218 (ho_5250 (ho_6839 (ho_6838 k_6837 BOUND_VARIABLE_309355) BOUND_VARIABLE_363895) BOUND_VARIABLE_309357) BOUND_VARIABLE_309358) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_309358) BOUND_VARIABLE_309355) (= (ho_4891 BOUND_VARIABLE_363895 BOUND_VARIABLE_309357) (ho_4891 BOUND_VARIABLE_363895 BOUND_VARIABLE_309358))))))) (let ((_let_12292 (forall ((BOUND_VARIABLE_309341 tptp.set_o) (BOUND_VARIABLE_363923 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_309343 Bool) (BOUND_VARIABLE_309344 Bool)) (= (ho_5235 (ho_6701 (ho_6843 (ho_6842 k_6841 BOUND_VARIABLE_309341) BOUND_VARIABLE_363923) BOUND_VARIABLE_309343) BOUND_VARIABLE_309344) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_309344) BOUND_VARIABLE_309341) (= (ho_6840 BOUND_VARIABLE_363923 BOUND_VARIABLE_309343) (ho_6840 BOUND_VARIABLE_363923 BOUND_VARIABLE_309344))))))) (let ((_let_12293 (forall ((BOUND_VARIABLE_309327 tptp.set_int) (BOUND_VARIABLE_363952 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_309329 tptp.int) (BOUND_VARIABLE_309330 tptp.int)) (= (ho_5218 (ho_5250 (ho_6846 (ho_6845 k_6844 BOUND_VARIABLE_309327) BOUND_VARIABLE_363952) BOUND_VARIABLE_309329) BOUND_VARIABLE_309330) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_309330) BOUND_VARIABLE_309327) (= (ho_4914 BOUND_VARIABLE_363952 BOUND_VARIABLE_309329) (ho_4914 BOUND_VARIABLE_363952 BOUND_VARIABLE_309330))))))) (let ((_let_12294 (forall ((BOUND_VARIABLE_363978 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_309315 tptp.set_nat) (BOUND_VARIABLE_309316 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_6847 BOUND_VARIABLE_363978) BOUND_VARIABLE_309315) BOUND_VARIABLE_309316) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309316)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_363978) BOUND_VARIABLE_309315))))))) (let ((_let_12295 (forall ((BOUND_VARIABLE_363995 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_309302 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309303 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_6848 BOUND_VARIABLE_363995) BOUND_VARIABLE_309302) BOUND_VARIABLE_309303) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309303)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_363995) BOUND_VARIABLE_309302))))))) (let ((_let_12296 (forall ((BOUND_VARIABLE_364012 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_309289 tptp.set_nat) (BOUND_VARIABLE_309290 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_6849 BOUND_VARIABLE_364012) BOUND_VARIABLE_309289) BOUND_VARIABLE_309290) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309290)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_364012) BOUND_VARIABLE_309289))))))) (let ((_let_12297 (forall ((BOUND_VARIABLE_364029 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_309276 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309277 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_6850 BOUND_VARIABLE_364029) BOUND_VARIABLE_309276) BOUND_VARIABLE_309277) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309277)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_364029) BOUND_VARIABLE_309276))))))) (let ((_let_12298 (forall ((BOUND_VARIABLE_364046 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_309263 tptp.set_nat) (BOUND_VARIABLE_309264 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_6851 BOUND_VARIABLE_364046) BOUND_VARIABLE_309263) BOUND_VARIABLE_309264) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309264)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_364046) BOUND_VARIABLE_309263))))))) (let ((_let_12299 (forall ((BOUND_VARIABLE_364063 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_309250 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309251 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_6852 BOUND_VARIABLE_364063) BOUND_VARIABLE_309250) BOUND_VARIABLE_309251) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309251)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_364063) BOUND_VARIABLE_309250))))))) (let ((_let_12300 (forall ((BOUND_VARIABLE_364080 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_309237 tptp.set_int) (BOUND_VARIABLE_309238 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_6853 BOUND_VARIABLE_364080) BOUND_VARIABLE_309237) BOUND_VARIABLE_309238) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309238)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_364080) BOUND_VARIABLE_309237))))))) (let ((_let_12301 (forall ((BOUND_VARIABLE_364097 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_309224 tptp.set_o) (BOUND_VARIABLE_309225 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_6854 BOUND_VARIABLE_364097) BOUND_VARIABLE_309224) BOUND_VARIABLE_309225) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309225)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_364097) BOUND_VARIABLE_309224))))))) (let ((_let_12302 (forall ((BOUND_VARIABLE_364114 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_309211 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_309212 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_6855 BOUND_VARIABLE_364114) BOUND_VARIABLE_309211) BOUND_VARIABLE_309212) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309212)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_364114) BOUND_VARIABLE_309211))))))) (let ((_let_12303 (forall ((BOUND_VARIABLE_364131 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309198 tptp.set_nat) (BOUND_VARIABLE_309199 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_6856 BOUND_VARIABLE_364131) BOUND_VARIABLE_309198) BOUND_VARIABLE_309199) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309199)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_364131) BOUND_VARIABLE_309198))))))) (let ((_let_12304 (forall ((BOUND_VARIABLE_364152 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309185 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309186 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_6859 k_6858 BOUND_VARIABLE_364152) BOUND_VARIABLE_309185) BOUND_VARIABLE_309186) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309186)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_364152) BOUND_VARIABLE_309185))))))) (let ((_let_12305 (forall ((BOUND_VARIABLE_364179 |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309172 tptp.set_int) (BOUND_VARIABLE_309173 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6865 (ho_6864 k_6863 BOUND_VARIABLE_364179) BOUND_VARIABLE_309172) BOUND_VARIABLE_309173) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309173)) (ho_6868 (ho_6867 k_6866 BOUND_VARIABLE_364179) BOUND_VARIABLE_309172))))))) (let ((_let_12306 (forall ((BOUND_VARIABLE_364213 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309159 tptp.set_o) (BOUND_VARIABLE_309160 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_6869 BOUND_VARIABLE_364213) BOUND_VARIABLE_309159) BOUND_VARIABLE_309160) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309160)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_364213) BOUND_VARIABLE_309159))))))) (let ((_let_12307 (forall ((BOUND_VARIABLE_364245 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309146 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_309147 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_6875 BOUND_VARIABLE_364245) BOUND_VARIABLE_309146) BOUND_VARIABLE_309147) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309147)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_364245) BOUND_VARIABLE_309146))))))) (let ((_let_12308 (forall ((BOUND_VARIABLE_364277 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_309133 tptp.set_nat) (BOUND_VARIABLE_309134 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_6881 BOUND_VARIABLE_364277) BOUND_VARIABLE_309133) BOUND_VARIABLE_309134) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309134)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_364277) BOUND_VARIABLE_309133))))))) (let ((_let_12309 (forall ((BOUND_VARIABLE_364294 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_309120 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309121 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_6882 BOUND_VARIABLE_364294) BOUND_VARIABLE_309120) BOUND_VARIABLE_309121) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_309121)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_364294) BOUND_VARIABLE_309120))))))) (let ((_let_12310 (forall ((BOUND_VARIABLE_364311 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309107 tptp.set_nat) (BOUND_VARIABLE_309108 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_6883 BOUND_VARIABLE_364311) BOUND_VARIABLE_309107) BOUND_VARIABLE_309108) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309108)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_364311) BOUND_VARIABLE_309107))))))) (let ((_let_12311 (forall ((BOUND_VARIABLE_364328 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_309094 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309095 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_6859 k_6884 BOUND_VARIABLE_364328) BOUND_VARIABLE_309094) BOUND_VARIABLE_309095) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_309095)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_364328) BOUND_VARIABLE_309094))))))) (let ((_let_12312 (forall ((BOUND_VARIABLE_309081 tptp.product_prod_nat_nat)) (= (ho_4575 k_6885 BOUND_VARIABLE_309081) (= (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_309081) (ho_5369 k_5368 BOUND_VARIABLE_309081)))))) (let ((_let_12313 (forall ((BOUND_VARIABLE_309073 tptp.produc859450856879609959at_nat)) (= (ho_6748 k_6747 BOUND_VARIABLE_309073) (= (ho_6887 k_6886 BOUND_VARIABLE_309073) (ho_6887 k_6888 BOUND_VARIABLE_309073)))))) (let ((_let_12314 (forall ((BOUND_VARIABLE_309065 tptp.product_prod_int_int)) (= (ho_4599 k_6889 BOUND_VARIABLE_309065) (= (ho_5531 k_5532 BOUND_VARIABLE_309065) (ho_5531 k_5530 BOUND_VARIABLE_309065)))))) (let ((_let_12315 (forall ((BOUND_VARIABLE_364370 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_309039 tptp.set_Product_unit) (BOUND_VARIABLE_309040 tptp.nat) (BOUND_VARIABLE_309041 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_364370) BOUND_VARIABLE_309039))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_309041)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_309040) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6894 (ho_6893 k_6892 BOUND_VARIABLE_364370) BOUND_VARIABLE_309039) BOUND_VARIABLE_309040) BOUND_VARIABLE_309041)))))) (let ((_let_12316 (forall ((BOUND_VARIABLE_364406 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_309012 tptp.set_int) (BOUND_VARIABLE_309013 tptp.nat) (BOUND_VARIABLE_309014 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_364406) BOUND_VARIABLE_309012))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_309014)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_309013) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_6895 BOUND_VARIABLE_364406) BOUND_VARIABLE_309012) BOUND_VARIABLE_309013) BOUND_VARIABLE_309014)))))) (let ((_let_12317 (forall ((BOUND_VARIABLE_364438 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_308985 tptp.set_nat) (BOUND_VARIABLE_308986 tptp.nat) (BOUND_VARIABLE_308987 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_364438) BOUND_VARIABLE_308985))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_308987)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_308986) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_6898 BOUND_VARIABLE_364438) BOUND_VARIABLE_308985) BOUND_VARIABLE_308986) BOUND_VARIABLE_308987)))))) (let ((_let_12318 (forall ((BOUND_VARIABLE_364470 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_308958 tptp.set_o) (BOUND_VARIABLE_308959 tptp.nat) (BOUND_VARIABLE_308960 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_364470) BOUND_VARIABLE_308958))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_308960)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_308959) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_6901 BOUND_VARIABLE_364470) BOUND_VARIABLE_308958) BOUND_VARIABLE_308959) BOUND_VARIABLE_308960)))))) (let ((_let_12319 (forall ((BOUND_VARIABLE_364507 |u_(-> tptp.product_unit tptp.nat)|) (BOUND_VARIABLE_364505 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_308950 tptp.nat)) (= (ho_4855 (ho_6907 (ho_6906 k_6905 BOUND_VARIABLE_364507) BOUND_VARIABLE_364505) BOUND_VARIABLE_308950) (ho_6904 BOUND_VARIABLE_364507 (ho_4880 BOUND_VARIABLE_364505 BOUND_VARIABLE_308950)))))) (let ((_let_12320 (forall ((BOUND_VARIABLE_364534 |u_(-> tptp.product_unit tptp.nat)|) (BOUND_VARIABLE_364531 |u_(-> Bool tptp.product_unit)|) (BOUND_VARIABLE_308941 Bool)) (= (ho_6840 (ho_6911 (ho_6910 k_6909 BOUND_VARIABLE_364534) BOUND_VARIABLE_364531) BOUND_VARIABLE_308941) (ho_6904 BOUND_VARIABLE_364534 (ho_6908 BOUND_VARIABLE_364531 BOUND_VARIABLE_308941)))))) (let ((_let_12321 (forall ((BOUND_VARIABLE_364559 |u_(-> tptp.product_unit tptp.nat)|) (BOUND_VARIABLE_364556 |u_(-> tptp.product_unit tptp.product_unit)|) (BOUND_VARIABLE_308932 tptp.product_unit)) (= (ho_6904 (ho_6915 (ho_6914 k_6913 BOUND_VARIABLE_364559) BOUND_VARIABLE_364556) BOUND_VARIABLE_308932) (ho_6904 BOUND_VARIABLE_364559 (ho_6912 BOUND_VARIABLE_364556 BOUND_VARIABLE_308932)))))) (let ((_let_12322 (forall ((BOUND_VARIABLE_364584 |u_(-> tptp.product_unit tptp.nat)|) (BOUND_VARIABLE_364581 |u_(-> tptp.int tptp.product_unit)|) (BOUND_VARIABLE_308923 tptp.int)) (= (ho_4891 (ho_6919 (ho_6918 k_6917 BOUND_VARIABLE_364584) BOUND_VARIABLE_364581) BOUND_VARIABLE_308923) (ho_6904 BOUND_VARIABLE_364584 (ho_6916 BOUND_VARIABLE_364581 BOUND_VARIABLE_308923)))))) (let ((_let_12323 (forall ((BOUND_VARIABLE_364606 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_364605 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_308914 tptp.nat)) (= (ho_4855 (ho_6789 (ho_6788 k_6920 BOUND_VARIABLE_364606) BOUND_VARIABLE_364605) BOUND_VARIABLE_308914) (ho_4891 BOUND_VARIABLE_364606 (ho_4925 BOUND_VARIABLE_364605 BOUND_VARIABLE_308914)))))) (let ((_let_12324 (forall ((BOUND_VARIABLE_364620 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_364619 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_308905 Bool)) (= (ho_6840 (ho_6923 (ho_6922 k_6921 BOUND_VARIABLE_364620) BOUND_VARIABLE_364619) BOUND_VARIABLE_308905) (ho_4891 BOUND_VARIABLE_364620 (ho_6094 BOUND_VARIABLE_364619 BOUND_VARIABLE_308905)))))) (let ((_let_12325 (forall ((BOUND_VARIABLE_364642 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_364641 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_308896 tptp.product_unit)) (= (ho_6904 (ho_6926 (ho_6925 k_6924 BOUND_VARIABLE_364642) BOUND_VARIABLE_364641) BOUND_VARIABLE_308896) (ho_4891 BOUND_VARIABLE_364642 (ho_6102 BOUND_VARIABLE_364641 BOUND_VARIABLE_308896)))))) (let ((_let_12326 (forall ((BOUND_VARIABLE_364664 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_364663 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_308887 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_6927 BOUND_VARIABLE_364664) BOUND_VARIABLE_364663) BOUND_VARIABLE_308887) (ho_4891 BOUND_VARIABLE_364664 (ho_4914 BOUND_VARIABLE_364663 BOUND_VARIABLE_308887)))))) (let ((_let_12327 (forall ((BOUND_VARIABLE_364686 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_364685 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_308878 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_6930 BOUND_VARIABLE_364686) BOUND_VARIABLE_364685) BOUND_VARIABLE_308878) (ho_4855 BOUND_VARIABLE_364686 (ho_4855 BOUND_VARIABLE_364685 BOUND_VARIABLE_308878)))))) (let ((_let_12328 (forall ((BOUND_VARIABLE_364707 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_364706 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_308869 tptp.int)) (= (ho_4891 (ho_6935 (ho_6934 k_6933 BOUND_VARIABLE_364707) BOUND_VARIABLE_364706) BOUND_VARIABLE_308869) (ho_4855 BOUND_VARIABLE_364707 (ho_4891 BOUND_VARIABLE_364706 BOUND_VARIABLE_308869)))))) (let ((_let_12329 (forall ((BOUND_VARIABLE_364728 |u_(-> Bool Bool)|) (BOUND_VARIABLE_364727 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_308860 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6936 BOUND_VARIABLE_364728) BOUND_VARIABLE_364727) BOUND_VARIABLE_308860) (ho_5235 BOUND_VARIABLE_364728 (ho_4593 BOUND_VARIABLE_364727 BOUND_VARIABLE_308860)))))) (let ((_let_12330 (forall ((BOUND_VARIABLE_364742 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_364741 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_308851 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_6937 BOUND_VARIABLE_364742) BOUND_VARIABLE_364741) BOUND_VARIABLE_308851) (ho_6671 BOUND_VARIABLE_364742 (ho_4891 BOUND_VARIABLE_364741 BOUND_VARIABLE_308851)))))) (let ((_let_12331 (forall ((BOUND_VARIABLE_364760 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_308818 tptp.set_nat)) (= (ho_4845 k_4844 (ho_4762 (ho_5517 k_5516 BOUND_VARIABLE_364760) BOUND_VARIABLE_308818)) (ho_4560 (ho_4857 k_6940 BOUND_VARIABLE_364760) BOUND_VARIABLE_308818))))) (let ((_let_12332 (forall ((BOUND_VARIABLE_364772 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_308785 tptp.set_o)) (= (ho_4845 k_4844 (ho_5000 (ho_5519 k_5518 BOUND_VARIABLE_364772) BOUND_VARIABLE_308785)) (ho_4867 (ho_4866 k_6941 BOUND_VARIABLE_364772) BOUND_VARIABLE_308785))))) (let ((_let_12333 (forall ((BOUND_VARIABLE_364784 |u_(-> tptp.nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_308752 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4845 k_4844 (ho_4986 (ho_5521 k_5520 BOUND_VARIABLE_364784) BOUND_VARIABLE_308752)) (ho_4870 (ho_4869 k_6942 BOUND_VARIABLE_364784) BOUND_VARIABLE_308752))))) (let ((_let_12334 (forall ((BOUND_VARIABLE_364796 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_308719 tptp.set_Pr4329608150637261639at_nat)) (= (ho_4845 k_4844 (ho_5107 (ho_5523 k_5522 BOUND_VARIABLE_364796) BOUND_VARIABLE_308719)) (ho_4876 (ho_4875 k_6943 BOUND_VARIABLE_364796) BOUND_VARIABLE_308719))))) (let ((_let_12335 (forall ((BOUND_VARIABLE_364808 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_308686 tptp.set_Product_unit)) (= (ho_4845 k_4844 (ho_5009 (ho_5525 k_5524 BOUND_VARIABLE_364808) BOUND_VARIABLE_308686)) (ho_4888 (ho_4887 k_6944 BOUND_VARIABLE_364808) BOUND_VARIABLE_308686))))) (let ((_let_12336 (forall ((BOUND_VARIABLE_364823 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_308673 tptp.set_Product_unit) (BOUND_VARIABLE_308674 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_6945 BOUND_VARIABLE_364823) BOUND_VARIABLE_308673) BOUND_VARIABLE_308674) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308674)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_364823) BOUND_VARIABLE_308673))))))) (let ((_let_12337 (forall ((BOUND_VARIABLE_308662 tptp.set_set_nat) (BOUND_VARIABLE_308663 tptp.nat)) (= (ho_4593 (ho_5067 k_6946 BOUND_VARIABLE_308662) BOUND_VARIABLE_308663) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308663)) BOUND_VARIABLE_308662)))))) (let ((_let_12338 (forall ((BOUND_VARIABLE_308652 tptp.set_set_nat) (BOUND_VARIABLE_308653 tptp.nat)) (= (ho_4593 (ho_5067 k_6947 BOUND_VARIABLE_308652) BOUND_VARIABLE_308653) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308653)) BOUND_VARIABLE_308652)))))) (let ((_let_12339 (forall ((BOUND_VARIABLE_364862 |u_(-> tptp.set_nat tptp.set_nat)|) (BOUND_VARIABLE_308640 tptp.set_set_nat) (BOUND_VARIABLE_308641 tptp.nat)) (= (ho_4593 (ho_5067 (ho_6949 k_6948 BOUND_VARIABLE_364862) BOUND_VARIABLE_308640) BOUND_VARIABLE_308641) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308641)) (ho_6952 (ho_6951 k_6950 BOUND_VARIABLE_364862) BOUND_VARIABLE_308640))))))) (let ((_let_12340 (forall ((BOUND_VARIABLE_308629 tptp.set_set_nat) (BOUND_VARIABLE_308630 tptp.nat)) (= (ho_4593 (ho_5067 k_6953 BOUND_VARIABLE_308629) BOUND_VARIABLE_308630) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308630)) BOUND_VARIABLE_308629)))))) (let ((_let_12341 (forall ((BOUND_VARIABLE_364902 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_308617 tptp.set_Product_unit) (BOUND_VARIABLE_308618 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_6954 BOUND_VARIABLE_364902) BOUND_VARIABLE_308617) BOUND_VARIABLE_308618) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308618)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_364902) BOUND_VARIABLE_308617))))))) (let ((_let_12342 (forall ((BOUND_VARIABLE_364919 |u_(-> tptp.set_nat tptp.set_nat)|) (BOUND_VARIABLE_308604 tptp.set_set_nat) (BOUND_VARIABLE_308605 tptp.nat)) (= (ho_4593 (ho_5067 (ho_6949 k_6955 BOUND_VARIABLE_364919) BOUND_VARIABLE_308604) BOUND_VARIABLE_308605) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308605)) (ho_6952 (ho_6951 k_6950 BOUND_VARIABLE_364919) BOUND_VARIABLE_308604))))))) (let ((_let_12343 (forall ((BOUND_VARIABLE_308593 tptp.set_set_nat) (BOUND_VARIABLE_308594 tptp.nat)) (= (ho_4593 (ho_5067 k_6956 BOUND_VARIABLE_308593) BOUND_VARIABLE_308594) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308594)) BOUND_VARIABLE_308593)))))) (let ((_let_12344 (forall ((BOUND_VARIABLE_308559 tptp.set_nat) (BOUND_VARIABLE_308560 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_308560)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5526 BOUND_VARIABLE_308559)) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4575 (ho_4758 k_6957 BOUND_VARIABLE_308559) BOUND_VARIABLE_308560))))) (let ((_let_12345 (forall ((BOUND_VARIABLE_308553 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_308554 tptp.ref_a)) (= BOUND_VARIABLE_308553 (ho_6960 (ho_6959 k_6958 BOUND_VARIABLE_308553) BOUND_VARIABLE_308554))))) (let ((_let_12346 (forall ((BOUND_VARIABLE_308535 tptp.set_nat) (BOUND_VARIABLE_308536 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_308536)) (ho_4565 (ho_4564 k_4563 k_5527) BOUND_VARIABLE_308535))) (ho_4575 (ho_4758 k_6961 BOUND_VARIABLE_308535) BOUND_VARIABLE_308536))))) (let ((_let_12347 (forall ((BOUND_VARIABLE_308527 tptp.ref_a)) (= (ho_6968 (ho_6967 k_6966 (ho_6965 k_6964 k_6962)) tptp.top_to2503719809363509323t_unit) (ho_6960 k_6969 BOUND_VARIABLE_308527))))) (let ((_let_12348 (forall ((BOUND_VARIABLE_365011 |u_(-> tptp.int tptp.int)|)) (= (ho_4601 k_4600 (ho_5529 k_5528 BOUND_VARIABLE_365011)) (ho_6971 k_6970 BOUND_VARIABLE_365011))))) (let ((_let_12349 (forall ((BOUND_VARIABLE_365024 |u_(-> tptp.nat tptp.nat)|)) (= (ho_4515 k_4514 (ho_4513 k_4512 (ho_5534 k_5533 BOUND_VARIABLE_365024))) (ho_6973 k_6972 BOUND_VARIABLE_365024))))) (let ((_let_12350 (forall ((BOUND_VARIABLE_365038 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_308451 tptp.set_int) (BOUND_VARIABLE_308452 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_308452)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_5535 BOUND_VARIABLE_365038)) BOUND_VARIABLE_308451))) (ho_4599 (ho_4924 (ho_6975 k_6974 BOUND_VARIABLE_365038) BOUND_VARIABLE_308451) BOUND_VARIABLE_308452))))) (let ((_let_12351 (forall ((BOUND_VARIABLE_365060 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_308414 tptp.set_int) (BOUND_VARIABLE_308415 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_308415)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_5537 BOUND_VARIABLE_365060)) BOUND_VARIABLE_308414))) (ho_4599 (ho_4924 (ho_6975 k_6976 BOUND_VARIABLE_365060) BOUND_VARIABLE_308414) BOUND_VARIABLE_308415))))) (let ((_let_12352 (forall ((BOUND_VARIABLE_365079 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_308385 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_5538 BOUND_VARIABLE_308385)) (ho_6977 BOUND_VARIABLE_365079 BOUND_VARIABLE_308385))) (ho_6985 (ho_6984 k_6983 BOUND_VARIABLE_365079) BOUND_VARIABLE_308385))))) (let ((_let_12353 (forall ((BOUND_VARIABLE_365114 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_308356 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_5547 BOUND_VARIABLE_308356)) (ho_6977 BOUND_VARIABLE_365114 BOUND_VARIABLE_308356))) (ho_6985 (ho_6984 k_6986 BOUND_VARIABLE_365114) BOUND_VARIABLE_308356))))) (let ((_let_12354 (forall ((BOUND_VARIABLE_365133 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_365132 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_308346 tptp.code_integer) (BOUND_VARIABLE_308347 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_6987 BOUND_VARIABLE_365133) BOUND_VARIABLE_365132) BOUND_VARIABLE_308346) BOUND_VARIABLE_308347) (ho_5405 (ho_5413 BOUND_VARIABLE_365133 (ho_5398 BOUND_VARIABLE_365132 BOUND_VARIABLE_308346)) BOUND_VARIABLE_308347))))) (let ((_let_12355 (forall ((BOUND_VARIABLE_365157 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_365156 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_308337 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_6990 BOUND_VARIABLE_365157) BOUND_VARIABLE_365156) BOUND_VARIABLE_308337) (ho_4891 BOUND_VARIABLE_365157 (ho_4914 BOUND_VARIABLE_365156 BOUND_VARIABLE_308337)))))) (let ((_let_12356 (forall ((BOUND_VARIABLE_365171 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_365170 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_308328 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_6991 BOUND_VARIABLE_365171) BOUND_VARIABLE_365170) BOUND_VARIABLE_308328) (ho_4855 BOUND_VARIABLE_365171 (ho_4855 BOUND_VARIABLE_365170 BOUND_VARIABLE_308328)))))) (let ((_let_12357 (forall ((BOUND_VARIABLE_365185 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_365184 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_308319 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_6992 BOUND_VARIABLE_365185) BOUND_VARIABLE_365184) BOUND_VARIABLE_308319) (ho_6671 BOUND_VARIABLE_365185 (ho_4891 BOUND_VARIABLE_365184 BOUND_VARIABLE_308319)))))) (let ((_let_12358 (forall ((BOUND_VARIABLE_365199 |u_(-> Bool Bool)|) (BOUND_VARIABLE_365198 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_308310 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_6993 BOUND_VARIABLE_365199) BOUND_VARIABLE_365198) BOUND_VARIABLE_308310) (ho_5235 BOUND_VARIABLE_365199 (ho_4593 BOUND_VARIABLE_365198 BOUND_VARIABLE_308310)))))) (let ((_let_12359 (forall ((BOUND_VARIABLE_308302 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_308303 tptp.ref_a)) (= BOUND_VARIABLE_308302 (ho_6960 (ho_6959 k_6994 BOUND_VARIABLE_308302) BOUND_VARIABLE_308303))))) (let ((_let_12360 (forall ((BOUND_VARIABLE_308267 tptp.set_nat) (BOUND_VARIABLE_308268 tptp.set_nat) (BOUND_VARIABLE_308269 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_308269)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5548 BOUND_VARIABLE_308267)) BOUND_VARIABLE_308268))) (ho_4575 (ho_4758 (ho_5149 k_6995 BOUND_VARIABLE_308267) BOUND_VARIABLE_308268) BOUND_VARIABLE_308269))))) (let ((_let_12361 (forall ((BOUND_VARIABLE_308257 tptp.set_set_nat) (BOUND_VARIABLE_308258 tptp.nat)) (= (ho_4593 (ho_5067 k_6996 BOUND_VARIABLE_308257) BOUND_VARIABLE_308258) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308258)) BOUND_VARIABLE_308257)))))) (let ((_let_12362 (forall ((BOUND_VARIABLE_365246 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_308244 tptp.set_set_nat) (BOUND_VARIABLE_308245 tptp.nat)) (= (ho_4593 (ho_5067 (ho_6998 k_6997 BOUND_VARIABLE_365246) BOUND_VARIABLE_308244) BOUND_VARIABLE_308245) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_308245)) (ho_6952 (ho_6951 k_6950 (ho_4857 k_4856 BOUND_VARIABLE_365246)) BOUND_VARIABLE_308244))))))) (let ((_let_12363 (forall ((BOUND_VARIABLE_308232 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308233 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308234 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_6999 BOUND_VARIABLE_308232) BOUND_VARIABLE_308233) BOUND_VARIABLE_308234) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_308233) BOUND_VARIABLE_308234)) BOUND_VARIABLE_308232))))) (let ((_let_12364 (forall ((BOUND_VARIABLE_308221 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308222 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308223 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_7000 BOUND_VARIABLE_308221) BOUND_VARIABLE_308222) BOUND_VARIABLE_308223) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_308222) BOUND_VARIABLE_308223)) BOUND_VARIABLE_308221))))) (let ((_let_12365 (forall ((BOUND_VARIABLE_308182 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308183 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308184 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308185 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_308184) BOUND_VARIABLE_308185)) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5549 BOUND_VARIABLE_308182) BOUND_VARIABLE_308183))) (ho_5240 (ho_4491 (ho_5255 (ho_7002 k_7001 BOUND_VARIABLE_308182) BOUND_VARIABLE_308183) BOUND_VARIABLE_308184) BOUND_VARIABLE_308185))))) (let ((_let_12366 (forall ((BOUND_VARIABLE_308171 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308172 tptp.product_prod_nat_nat) (BOUND_VARIABLE_308173 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 (ho_7004 k_7003 BOUND_VARIABLE_308171) BOUND_VARIABLE_308172) BOUND_VARIABLE_308173) (ho_7010 (ho_7009 k_7008 (ho_7007 (ho_7006 k_7005 BOUND_VARIABLE_308172) BOUND_VARIABLE_308173)) BOUND_VARIABLE_308171))))) (let ((_let_12367 (forall ((BOUND_VARIABLE_308160 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308161 tptp.product_prod_nat_nat) (BOUND_VARIABLE_308162 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 (ho_7004 k_7011 BOUND_VARIABLE_308160) BOUND_VARIABLE_308161) BOUND_VARIABLE_308162) (ho_7010 (ho_7009 k_7008 (ho_7007 (ho_7006 k_7005 BOUND_VARIABLE_308161) BOUND_VARIABLE_308162)) BOUND_VARIABLE_308160))))) (let ((_let_12368 (forall ((BOUND_VARIABLE_308127 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308128 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308129 tptp.product_prod_nat_nat) (BOUND_VARIABLE_308130 tptp.product_prod_nat_nat)) (= (ho_7010 (ho_7009 k_7008 (ho_7007 (ho_7006 k_7005 BOUND_VARIABLE_308129) BOUND_VARIABLE_308130)) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5550 BOUND_VARIABLE_308127) BOUND_VARIABLE_308128)) tptp.top_top_set_o))) (ho_4575 (ho_5379 (ho_7004 (ho_7013 k_7012 BOUND_VARIABLE_308127) BOUND_VARIABLE_308128) BOUND_VARIABLE_308129) BOUND_VARIABLE_308130))))) (let ((_let_12369 (forall ((BOUND_VARIABLE_308116 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308117 tptp.int) (BOUND_VARIABLE_308118 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_7014 BOUND_VARIABLE_308116) BOUND_VARIABLE_308117) BOUND_VARIABLE_308118) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_308117) BOUND_VARIABLE_308118)) BOUND_VARIABLE_308116))))) (let ((_let_12370 (forall ((BOUND_VARIABLE_308105 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308106 tptp.int) (BOUND_VARIABLE_308107 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_7015 BOUND_VARIABLE_308105) BOUND_VARIABLE_308106) BOUND_VARIABLE_308107) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_308106) BOUND_VARIABLE_308107)) BOUND_VARIABLE_308105))))) (let ((_let_12371 (forall ((BOUND_VARIABLE_308091 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308092 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308093 tptp.int) (BOUND_VARIABLE_308094 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 (ho_7017 k_7016 BOUND_VARIABLE_308091) BOUND_VARIABLE_308092) BOUND_VARIABLE_308093) BOUND_VARIABLE_308094) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_308093) BOUND_VARIABLE_308094)) (ho_4607 (ho_6061 k_7018 BOUND_VARIABLE_308091) BOUND_VARIABLE_308092)))))) (let ((_let_12372 (forall ((BOUND_VARIABLE_308080 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308081 tptp.nat) (BOUND_VARIABLE_308082 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_7019 BOUND_VARIABLE_308080) BOUND_VARIABLE_308081) BOUND_VARIABLE_308082) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_308081) BOUND_VARIABLE_308082)) BOUND_VARIABLE_308080))))) (let ((_let_12373 (forall ((BOUND_VARIABLE_308069 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308070 tptp.nat) (BOUND_VARIABLE_308071 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_7020 BOUND_VARIABLE_308069) BOUND_VARIABLE_308070) BOUND_VARIABLE_308071) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_308070) BOUND_VARIABLE_308071)) BOUND_VARIABLE_308069))))) (let ((_let_12374 (forall ((BOUND_VARIABLE_308055 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308056 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308057 tptp.nat) (BOUND_VARIABLE_308058 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 (ho_7022 k_7021 BOUND_VARIABLE_308055) BOUND_VARIABLE_308056) BOUND_VARIABLE_308057) BOUND_VARIABLE_308058) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_308057) BOUND_VARIABLE_308058)) (ho_4521 (ho_5638 k_6000 BOUND_VARIABLE_308055) BOUND_VARIABLE_308056)))))) (let ((_let_12375 (forall ((BOUND_VARIABLE_308044 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308045 tptp.nat) (BOUND_VARIABLE_308046 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_7023 BOUND_VARIABLE_308044) BOUND_VARIABLE_308045) BOUND_VARIABLE_308046) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_308045) BOUND_VARIABLE_308046)) BOUND_VARIABLE_308044))))) (let ((_let_12376 (forall ((BOUND_VARIABLE_308033 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308034 tptp.nat) (BOUND_VARIABLE_308035 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_7024 BOUND_VARIABLE_308033) BOUND_VARIABLE_308034) BOUND_VARIABLE_308035) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_308034) BOUND_VARIABLE_308035)) BOUND_VARIABLE_308033))))) (let ((_let_12377 (forall ((BOUND_VARIABLE_308019 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308020 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308021 tptp.nat) (BOUND_VARIABLE_308022 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 (ho_7026 k_7025 BOUND_VARIABLE_308019) BOUND_VARIABLE_308020) BOUND_VARIABLE_308021) BOUND_VARIABLE_308022) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_308021) BOUND_VARIABLE_308022)) (ho_5546 (ho_7028 k_7027 BOUND_VARIABLE_308019) BOUND_VARIABLE_308020)))))) (let ((_let_12378 (forall ((BOUND_VARIABLE_308008 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_308009 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308010 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_7029 BOUND_VARIABLE_308008) BOUND_VARIABLE_308009) BOUND_VARIABLE_308010) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_308009) BOUND_VARIABLE_308010)) BOUND_VARIABLE_308008))))) (let ((_let_12379 (forall ((BOUND_VARIABLE_307997 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307998 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307999 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_7030 BOUND_VARIABLE_307997) BOUND_VARIABLE_307998) BOUND_VARIABLE_307999) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_307998) BOUND_VARIABLE_307999)) BOUND_VARIABLE_307997))))) (let ((_let_12380 (forall ((BOUND_VARIABLE_307983 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307984 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307985 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307986 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 (ho_7032 k_7031 BOUND_VARIABLE_307983) BOUND_VARIABLE_307984) BOUND_VARIABLE_307985) BOUND_VARIABLE_307986) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_307985) BOUND_VARIABLE_307986)) (ho_6328 (ho_7034 k_7033 BOUND_VARIABLE_307983) BOUND_VARIABLE_307984)))))) (let ((_let_12381 (forall ((BOUND_VARIABLE_365579 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_365578 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_307969 tptp.code_integer) (BOUND_VARIABLE_365577 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_307971 tptp.code_integer) (BOUND_VARIABLE_307972 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6659 (ho_7038 (ho_7037 (ho_7036 k_7035 BOUND_VARIABLE_365579) BOUND_VARIABLE_365578) BOUND_VARIABLE_307969) BOUND_VARIABLE_365577) BOUND_VARIABLE_307971) BOUND_VARIABLE_307972) (ho_5405 (ho_5413 BOUND_VARIABLE_365579 (ho_5398 (ho_7042 (ho_7041 (ho_7040 k_7039 BOUND_VARIABLE_365578) BOUND_VARIABLE_307969) BOUND_VARIABLE_365577) BOUND_VARIABLE_307971)) BOUND_VARIABLE_307972))))) (let ((_let_12382 (forall ((BOUND_VARIABLE_365626 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_365625 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_307958 tptp.code_integer) (BOUND_VARIABLE_307959 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_7043 BOUND_VARIABLE_365626) BOUND_VARIABLE_365625) BOUND_VARIABLE_307958) BOUND_VARIABLE_307959) (ho_5405 (ho_5413 BOUND_VARIABLE_365626 (ho_5398 BOUND_VARIABLE_365625 BOUND_VARIABLE_307958)) BOUND_VARIABLE_307959))))) (let ((_let_12383 (forall ((BOUND_VARIABLE_365644 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_365643 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_307944 tptp.int) (BOUND_VARIABLE_307945 tptp.int) (BOUND_VARIABLE_307946 tptp.int)) (= (ho_4891 (ho_7048 (ho_7047 (ho_7046 (ho_7045 k_7044 BOUND_VARIABLE_365644) BOUND_VARIABLE_365643) BOUND_VARIABLE_307944) BOUND_VARIABLE_307945) BOUND_VARIABLE_307946) (ho_4891 BOUND_VARIABLE_365644 (ho_4914 (ho_5432 (ho_7051 (ho_7050 k_7049 BOUND_VARIABLE_365643) BOUND_VARIABLE_307944) BOUND_VARIABLE_307945) BOUND_VARIABLE_307946)))))) (let ((_let_12384 (forall ((BOUND_VARIABLE_365685 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_365684 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_307935 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_7052 BOUND_VARIABLE_365685) BOUND_VARIABLE_365684) BOUND_VARIABLE_307935) (ho_4891 BOUND_VARIABLE_365685 (ho_4914 BOUND_VARIABLE_365684 BOUND_VARIABLE_307935)))))) (let ((_let_12385 (forall ((BOUND_VARIABLE_365701 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_365700 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307921 tptp.nat) (BOUND_VARIABLE_307922 tptp.nat) (BOUND_VARIABLE_307923 tptp.nat)) (= (ho_4855 (ho_5457 (ho_7056 (ho_7055 (ho_7054 k_7053 BOUND_VARIABLE_365701) BOUND_VARIABLE_365700) BOUND_VARIABLE_307921) BOUND_VARIABLE_307922) BOUND_VARIABLE_307923) (ho_4855 BOUND_VARIABLE_365701 (ho_4855 (ho_5457 (ho_7056 (ho_7055 k_7057 BOUND_VARIABLE_365700) BOUND_VARIABLE_307921) BOUND_VARIABLE_307922) BOUND_VARIABLE_307923)))))) (let ((_let_12386 (forall ((BOUND_VARIABLE_365732 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_365731 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307912 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_7058 BOUND_VARIABLE_365732) BOUND_VARIABLE_365731) BOUND_VARIABLE_307912) (ho_4855 BOUND_VARIABLE_365732 (ho_4855 BOUND_VARIABLE_365731 BOUND_VARIABLE_307912)))))) (let ((_let_12387 (forall ((BOUND_VARIABLE_365748 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_365747 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307898 tptp.int) (BOUND_VARIABLE_307899 tptp.nat) (BOUND_VARIABLE_307900 tptp.int)) (= (ho_5439 (ho_7063 (ho_7062 (ho_7061 (ho_7060 k_7059 BOUND_VARIABLE_365748) BOUND_VARIABLE_365747) BOUND_VARIABLE_307898) BOUND_VARIABLE_307899) BOUND_VARIABLE_307900) (ho_6671 BOUND_VARIABLE_365748 (ho_4891 (ho_7067 (ho_7066 (ho_7065 k_7064 BOUND_VARIABLE_365747) BOUND_VARIABLE_307898) BOUND_VARIABLE_307899) BOUND_VARIABLE_307900)))))) (let ((_let_12388 (forall ((BOUND_VARIABLE_365792 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_365791 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307889 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_7068 BOUND_VARIABLE_365792) BOUND_VARIABLE_365791) BOUND_VARIABLE_307889) (ho_6671 BOUND_VARIABLE_365792 (ho_4891 BOUND_VARIABLE_365791 BOUND_VARIABLE_307889)))))) (let ((_let_12389 (forall ((BOUND_VARIABLE_365808 |u_(-> Bool Bool)|) (BOUND_VARIABLE_365807 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_307875 tptp.nat) (BOUND_VARIABLE_307876 Bool) (BOUND_VARIABLE_307877 tptp.nat)) (= (ho_4593 (ho_5004 (ho_7072 (ho_7071 (ho_7070 k_7069 BOUND_VARIABLE_365808) BOUND_VARIABLE_365807) BOUND_VARIABLE_307875) BOUND_VARIABLE_307876) BOUND_VARIABLE_307877) (ho_5235 BOUND_VARIABLE_365808 (ho_4593 (ho_5004 (ho_7072 (ho_7071 k_7073 BOUND_VARIABLE_365807) BOUND_VARIABLE_307875) BOUND_VARIABLE_307876) BOUND_VARIABLE_307877)))))) (let ((_let_12390 (forall ((BOUND_VARIABLE_365839 |u_(-> Bool Bool)|) (BOUND_VARIABLE_365838 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_307866 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_7074 BOUND_VARIABLE_365839) BOUND_VARIABLE_365838) BOUND_VARIABLE_307866) (ho_5235 BOUND_VARIABLE_365839 (ho_4593 BOUND_VARIABLE_365838 BOUND_VARIABLE_307866)))))) (let ((_let_12391 (forall ((BOUND_VARIABLE_307853 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307854 tptp.nat) (BOUND_VARIABLE_307855 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_7075 BOUND_VARIABLE_307853) BOUND_VARIABLE_307854) BOUND_VARIABLE_307855) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_307854) BOUND_VARIABLE_307855)) BOUND_VARIABLE_307853))))) (let ((_let_12392 (forall ((BOUND_VARIABLE_307842 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307843 tptp.nat) (BOUND_VARIABLE_307844 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_7076 BOUND_VARIABLE_307842) BOUND_VARIABLE_307843) BOUND_VARIABLE_307844) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_307843) BOUND_VARIABLE_307844)) BOUND_VARIABLE_307842))))) (let ((_let_12393 (forall ((BOUND_VARIABLE_307828 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307829 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307830 tptp.nat) (BOUND_VARIABLE_307831 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 (ho_7022 k_7077 BOUND_VARIABLE_307828) BOUND_VARIABLE_307829) BOUND_VARIABLE_307830) BOUND_VARIABLE_307831) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_307830) BOUND_VARIABLE_307831)) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_307828) BOUND_VARIABLE_307829)))))) (let ((_let_12394 (forall ((BOUND_VARIABLE_307817 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307818 tptp.int) (BOUND_VARIABLE_307819 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_7078 BOUND_VARIABLE_307817) BOUND_VARIABLE_307818) BOUND_VARIABLE_307819) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_307818) BOUND_VARIABLE_307819)) BOUND_VARIABLE_307817))))) (let ((_let_12395 (forall ((BOUND_VARIABLE_307806 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307807 tptp.int) (BOUND_VARIABLE_307808 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_7079 BOUND_VARIABLE_307806) BOUND_VARIABLE_307807) BOUND_VARIABLE_307808) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_307807) BOUND_VARIABLE_307808)) BOUND_VARIABLE_307806))))) (let ((_let_12396 (forall ((BOUND_VARIABLE_307792 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307793 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307794 tptp.int) (BOUND_VARIABLE_307795 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 (ho_7017 k_7080 BOUND_VARIABLE_307792) BOUND_VARIABLE_307793) BOUND_VARIABLE_307794) BOUND_VARIABLE_307795) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_307794) BOUND_VARIABLE_307795)) (ho_4607 (ho_6061 k_6060 BOUND_VARIABLE_307792) BOUND_VARIABLE_307793)))))) (let ((_let_12397 (forall ((BOUND_VARIABLE_307781 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307782 tptp.nat) (BOUND_VARIABLE_307783 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_7081 BOUND_VARIABLE_307781) BOUND_VARIABLE_307782) BOUND_VARIABLE_307783) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_307782) BOUND_VARIABLE_307783)) BOUND_VARIABLE_307781))))) (let ((_let_12398 (forall ((BOUND_VARIABLE_307770 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307771 tptp.nat) (BOUND_VARIABLE_307772 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_7082 BOUND_VARIABLE_307770) BOUND_VARIABLE_307771) BOUND_VARIABLE_307772) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_307771) BOUND_VARIABLE_307772)) BOUND_VARIABLE_307770))))) (let ((_let_12399 (forall ((BOUND_VARIABLE_307756 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307757 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307758 tptp.nat) (BOUND_VARIABLE_307759 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 (ho_7026 k_7083 BOUND_VARIABLE_307756) BOUND_VARIABLE_307757) BOUND_VARIABLE_307758) BOUND_VARIABLE_307759) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_307758) BOUND_VARIABLE_307759)) (ho_5546 (ho_7028 k_7084 BOUND_VARIABLE_307756) BOUND_VARIABLE_307757)))))) (let ((_let_12400 (forall ((BOUND_VARIABLE_307745 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307746 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307747 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_7085 BOUND_VARIABLE_307745) BOUND_VARIABLE_307746) BOUND_VARIABLE_307747) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_307746) BOUND_VARIABLE_307747)) BOUND_VARIABLE_307745))))) (let ((_let_12401 (forall ((BOUND_VARIABLE_307734 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307735 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307736 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_7086 BOUND_VARIABLE_307734) BOUND_VARIABLE_307735) BOUND_VARIABLE_307736) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_307735) BOUND_VARIABLE_307736)) BOUND_VARIABLE_307734))))) (let ((_let_12402 (forall ((BOUND_VARIABLE_307720 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307721 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307722 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307723 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 (ho_7002 k_7087 BOUND_VARIABLE_307720) BOUND_VARIABLE_307721) BOUND_VARIABLE_307722) BOUND_VARIABLE_307723) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_307722) BOUND_VARIABLE_307723)) (ho_4501 (ho_4622 k_7088 BOUND_VARIABLE_307720) BOUND_VARIABLE_307721)))))) (let ((_let_12403 (forall ((BOUND_VARIABLE_307709 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307710 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307711 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_7089 BOUND_VARIABLE_307709) BOUND_VARIABLE_307710) BOUND_VARIABLE_307711) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_307710) BOUND_VARIABLE_307711)) BOUND_VARIABLE_307709))))) (let ((_let_12404 (forall ((BOUND_VARIABLE_307698 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307699 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307700 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_7090 BOUND_VARIABLE_307698) BOUND_VARIABLE_307699) BOUND_VARIABLE_307700) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_307699) BOUND_VARIABLE_307700)) BOUND_VARIABLE_307698))))) (let ((_let_12405 (forall ((BOUND_VARIABLE_307684 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307685 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307686 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307687 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 (ho_7032 k_7091 BOUND_VARIABLE_307684) BOUND_VARIABLE_307685) BOUND_VARIABLE_307686) BOUND_VARIABLE_307687) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_307686) BOUND_VARIABLE_307687)) (ho_6328 (ho_7034 k_7092 BOUND_VARIABLE_307684) BOUND_VARIABLE_307685)))))) (let ((_let_12406 (forall ((BOUND_VARIABLE_366072 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_366071 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_307675 tptp.code_integer) (BOUND_VARIABLE_307676 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_7093 BOUND_VARIABLE_366072) BOUND_VARIABLE_366071) BOUND_VARIABLE_307675) BOUND_VARIABLE_307676) (ho_5405 (ho_5413 BOUND_VARIABLE_366072 (ho_5398 BOUND_VARIABLE_366071 BOUND_VARIABLE_307675)) BOUND_VARIABLE_307676))))) (let ((_let_12407 (forall ((BOUND_VARIABLE_366088 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_366087 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_307666 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_7094 BOUND_VARIABLE_366088) BOUND_VARIABLE_366087) BOUND_VARIABLE_307666) (ho_4891 BOUND_VARIABLE_366088 (ho_4914 BOUND_VARIABLE_366087 BOUND_VARIABLE_307666)))))) (let ((_let_12408 (forall ((BOUND_VARIABLE_366102 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_366101 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307657 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_7095 BOUND_VARIABLE_366102) BOUND_VARIABLE_366101) BOUND_VARIABLE_307657) (ho_4855 BOUND_VARIABLE_366102 (ho_4855 BOUND_VARIABLE_366101 BOUND_VARIABLE_307657)))))) (let ((_let_12409 (forall ((BOUND_VARIABLE_366116 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_366115 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307648 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_7096 BOUND_VARIABLE_366116) BOUND_VARIABLE_366115) BOUND_VARIABLE_307648) (ho_6671 BOUND_VARIABLE_366116 (ho_4891 BOUND_VARIABLE_366115 BOUND_VARIABLE_307648)))))) (let ((_let_12410 (forall ((BOUND_VARIABLE_366130 |u_(-> Bool Bool)|) (BOUND_VARIABLE_366129 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_307639 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_7097 BOUND_VARIABLE_366130) BOUND_VARIABLE_366129) BOUND_VARIABLE_307639) (ho_5235 BOUND_VARIABLE_366130 (ho_4593 BOUND_VARIABLE_366129 BOUND_VARIABLE_307639)))))) (let ((_let_12411 (forall ((BOUND_VARIABLE_366145 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_366144 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_307628 tptp.code_integer) (BOUND_VARIABLE_307629 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_7098 BOUND_VARIABLE_366145) BOUND_VARIABLE_366144) BOUND_VARIABLE_307628) BOUND_VARIABLE_307629) (ho_5405 (ho_5413 BOUND_VARIABLE_366145 (ho_5398 BOUND_VARIABLE_366144 BOUND_VARIABLE_307628)) BOUND_VARIABLE_307629))))) (let ((_let_12412 (forall ((BOUND_VARIABLE_366161 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_366160 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_307619 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_7099 BOUND_VARIABLE_366161) BOUND_VARIABLE_366160) BOUND_VARIABLE_307619) (ho_4891 BOUND_VARIABLE_366161 (ho_4914 BOUND_VARIABLE_366160 BOUND_VARIABLE_307619)))))) (let ((_let_12413 (forall ((BOUND_VARIABLE_366175 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_366174 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307610 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_7100 BOUND_VARIABLE_366175) BOUND_VARIABLE_366174) BOUND_VARIABLE_307610) (ho_4855 BOUND_VARIABLE_366175 (ho_4855 BOUND_VARIABLE_366174 BOUND_VARIABLE_307610)))))) (let ((_let_12414 (forall ((BOUND_VARIABLE_366189 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_366188 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307601 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_7101 BOUND_VARIABLE_366189) BOUND_VARIABLE_366188) BOUND_VARIABLE_307601) (ho_6671 BOUND_VARIABLE_366189 (ho_4891 BOUND_VARIABLE_366188 BOUND_VARIABLE_307601)))))) (let ((_let_12415 (forall ((BOUND_VARIABLE_366203 |u_(-> Bool Bool)|) (BOUND_VARIABLE_366202 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_307592 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_7102 BOUND_VARIABLE_366203) BOUND_VARIABLE_366202) BOUND_VARIABLE_307592) (ho_5235 BOUND_VARIABLE_366203 (ho_4593 BOUND_VARIABLE_366202 BOUND_VARIABLE_307592)))))) (let ((_let_12416 (forall ((BOUND_VARIABLE_307580 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_307581 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_7103 BOUND_VARIABLE_307580) BOUND_VARIABLE_307581) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_307581)) BOUND_VARIABLE_307580)))))) (let ((_let_12417 (forall ((BOUND_VARIABLE_307569 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_307570 tptp.nat)) (= (ho_4593 (ho_7105 k_7104 BOUND_VARIABLE_307569) BOUND_VARIABLE_307570) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_307570)) (ho_7108 (ho_7107 k_7106 k_5561) BOUND_VARIABLE_307569))))))) (let ((_let_12418 (forall ((BOUND_VARIABLE_366255 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366254 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_366253 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_307552 tptp.int) (BOUND_VARIABLE_307553 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_7111 (ho_7110 k_7109 BOUND_VARIABLE_366255) BOUND_VARIABLE_366254) BOUND_VARIABLE_366253) BOUND_VARIABLE_307552) BOUND_VARIABLE_307553) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_366255 BOUND_VARIABLE_307552) B4)) (not (ho_6488 (ho_6484 (ho_6487 (ho_7111 k_7112 BOUND_VARIABLE_366254) BOUND_VARIABLE_366253) B4) BOUND_VARIABLE_307553))))))))) (let ((_let_12419 (forall ((BOUND_VARIABLE_366290 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366289 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_307534 tptp.int) (BOUND_VARIABLE_307535 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_7113 BOUND_VARIABLE_366290) BOUND_VARIABLE_366289) BOUND_VARIABLE_307534) BOUND_VARIABLE_307535) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_366290 BOUND_VARIABLE_307534) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_366289 B4) BOUND_VARIABLE_307535))))))))) (let ((_let_12420 (forall ((BOUND_VARIABLE_366313 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366312 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_307517 tptp.int) (BOUND_VARIABLE_307518 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_7114 BOUND_VARIABLE_366313) BOUND_VARIABLE_366312) BOUND_VARIABLE_307517) BOUND_VARIABLE_307518) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_366313 BOUND_VARIABLE_307517) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_366312 B4) BOUND_VARIABLE_307518))))))))) (let ((_let_12421 (forall ((BOUND_VARIABLE_366338 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366337 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_366336 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_307498 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307499 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_7117 (ho_7116 k_7115 BOUND_VARIABLE_366338) BOUND_VARIABLE_366337) BOUND_VARIABLE_366336) BOUND_VARIABLE_307498) BOUND_VARIABLE_307499) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_366338 BOUND_VARIABLE_307498) B4)) (not (ho_5218 (ho_5383 (ho_6483 (ho_7117 k_7118 BOUND_VARIABLE_366337) BOUND_VARIABLE_366336) B4) BOUND_VARIABLE_307499))))))))) (let ((_let_12422 (forall ((BOUND_VARIABLE_366373 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366372 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_307480 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307481 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_7119 BOUND_VARIABLE_366373) BOUND_VARIABLE_366372) BOUND_VARIABLE_307480) BOUND_VARIABLE_307481) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_366373 BOUND_VARIABLE_307480) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_366372 B4) BOUND_VARIABLE_307481))))))))) (let ((_let_12423 (forall ((BOUND_VARIABLE_366396 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366395 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_307463 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307464 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_7120 BOUND_VARIABLE_366396) BOUND_VARIABLE_366395) BOUND_VARIABLE_307463) BOUND_VARIABLE_307464) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_366396 BOUND_VARIABLE_307463) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_366395 B4) BOUND_VARIABLE_307464))))))))) (let ((_let_12424 (forall ((BOUND_VARIABLE_366421 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366420 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366419 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_307444 tptp.int) (BOUND_VARIABLE_307445 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 (ho_7122 k_7121 BOUND_VARIABLE_366421) BOUND_VARIABLE_366420) BOUND_VARIABLE_366419) BOUND_VARIABLE_307444) BOUND_VARIABLE_307445) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 (ho_7124 k_7123 BOUND_VARIABLE_366421) BOUND_VARIABLE_366420) BOUND_VARIABLE_307444) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_366419 B4) BOUND_VARIABLE_307445))))))))) (let ((_let_12425 (forall ((BOUND_VARIABLE_366460 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366459 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_307426 tptp.int) (BOUND_VARIABLE_307427 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_7126 BOUND_VARIABLE_366460) BOUND_VARIABLE_366459) BOUND_VARIABLE_307426) BOUND_VARIABLE_307427) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_366460 BOUND_VARIABLE_307426) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_366459 B4) BOUND_VARIABLE_307427))))))))) (let ((_let_12426 (forall ((BOUND_VARIABLE_366483 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_366482 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_307409 tptp.int) (BOUND_VARIABLE_307410 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_7127 BOUND_VARIABLE_366483) BOUND_VARIABLE_366482) BOUND_VARIABLE_307409) BOUND_VARIABLE_307410) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_366483 BOUND_VARIABLE_307409) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_366482 B4) BOUND_VARIABLE_307410))))))))) (let ((_let_12427 (forall ((BOUND_VARIABLE_366508 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366507 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366506 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_307390 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307391 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 (ho_7129 k_7128 BOUND_VARIABLE_366508) BOUND_VARIABLE_366507) BOUND_VARIABLE_366506) BOUND_VARIABLE_307390) BOUND_VARIABLE_307391) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 (ho_7131 k_7130 BOUND_VARIABLE_366508) BOUND_VARIABLE_366507) BOUND_VARIABLE_307390) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_366506 B4) BOUND_VARIABLE_307391))))))))) (let ((_let_12428 (forall ((BOUND_VARIABLE_366547 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366546 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_307372 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307373 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_7133 BOUND_VARIABLE_366547) BOUND_VARIABLE_366546) BOUND_VARIABLE_307372) BOUND_VARIABLE_307373) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_366547 BOUND_VARIABLE_307372) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_366546 B4) BOUND_VARIABLE_307373))))))))) (let ((_let_12429 (forall ((BOUND_VARIABLE_366570 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_366569 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_307355 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307356 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_7134 BOUND_VARIABLE_366570) BOUND_VARIABLE_366569) BOUND_VARIABLE_307355) BOUND_VARIABLE_307356) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_366570 BOUND_VARIABLE_307355) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_366569 B4) BOUND_VARIABLE_307356))))))))) (let ((_let_12430 (forall ((BOUND_VARIABLE_366592 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_366591 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_307346 tptp.nat)) (= (ho_4855 (ho_6789 (ho_6788 k_7135 BOUND_VARIABLE_366592) BOUND_VARIABLE_366591) BOUND_VARIABLE_307346) (ho_4891 BOUND_VARIABLE_366592 (ho_4925 BOUND_VARIABLE_366591 BOUND_VARIABLE_307346)))))) (let ((_let_12431 (forall ((BOUND_VARIABLE_366606 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_366605 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_307337 Bool)) (= (ho_6840 (ho_6923 (ho_6922 k_7136 BOUND_VARIABLE_366606) BOUND_VARIABLE_366605) BOUND_VARIABLE_307337) (ho_4891 BOUND_VARIABLE_366606 (ho_6094 BOUND_VARIABLE_366605 BOUND_VARIABLE_307337)))))) (let ((_let_12432 (forall ((BOUND_VARIABLE_366620 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_366619 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_307328 tptp.product_unit)) (= (ho_6904 (ho_6926 (ho_6925 k_7137 BOUND_VARIABLE_366620) BOUND_VARIABLE_366619) BOUND_VARIABLE_307328) (ho_4891 BOUND_VARIABLE_366620 (ho_6102 BOUND_VARIABLE_366619 BOUND_VARIABLE_307328)))))) (let ((_let_12433 (forall ((BOUND_VARIABLE_366634 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_366633 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_307319 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_7138 BOUND_VARIABLE_366634) BOUND_VARIABLE_366633) BOUND_VARIABLE_307319) (ho_4891 BOUND_VARIABLE_366634 (ho_4914 BOUND_VARIABLE_366633 BOUND_VARIABLE_307319)))))) (let ((_let_12434 (forall ((BOUND_VARIABLE_366652 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_366644 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307290 tptp.set_nat) (BOUND_VARIABLE_307291 tptp.nat) (BOUND_VARIABLE_307292 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_366652 (ho_7140 k_7139 (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_366644) BOUND_VARIABLE_307290)))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_307292)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_307291) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6900 (ho_7143 (ho_7142 k_7141 BOUND_VARIABLE_366652) BOUND_VARIABLE_366644) BOUND_VARIABLE_307290) BOUND_VARIABLE_307291) BOUND_VARIABLE_307292)))))) (let ((_let_12435 (forall ((BOUND_VARIABLE_366689 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_366688 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307281 tptp.nat)) (= (ho_4925 (ho_6783 (ho_6782 k_7144 BOUND_VARIABLE_366689) BOUND_VARIABLE_366688) BOUND_VARIABLE_307281) (ho_4925 BOUND_VARIABLE_366689 (ho_4855 BOUND_VARIABLE_366688 BOUND_VARIABLE_307281)))))) (let ((_let_12436 (forall ((BOUND_VARIABLE_366703 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_366699 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307252 tptp.set_int) (BOUND_VARIABLE_307253 tptp.nat) (BOUND_VARIABLE_307254 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_366703 (ho_7140 k_7139 (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_366699) BOUND_VARIABLE_307252)))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_307254)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_307253) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_7147 (ho_7146 k_7145 BOUND_VARIABLE_366703) BOUND_VARIABLE_366699) BOUND_VARIABLE_307252) BOUND_VARIABLE_307253) BOUND_VARIABLE_307254)))))) (let ((_let_12437 (forall ((BOUND_VARIABLE_366740 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_366739 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307243 tptp.int)) (= (ho_4914 (ho_7150 (ho_7149 k_7148 BOUND_VARIABLE_366740) BOUND_VARIABLE_366739) BOUND_VARIABLE_307243) (ho_4925 BOUND_VARIABLE_366740 (ho_4891 BOUND_VARIABLE_366739 BOUND_VARIABLE_307243)))))) (let ((_let_12438 (forall ((BOUND_VARIABLE_366762 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_366761 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_307234 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_7151 BOUND_VARIABLE_366762) BOUND_VARIABLE_366761) BOUND_VARIABLE_307234) (ho_4855 BOUND_VARIABLE_366762 (ho_4855 BOUND_VARIABLE_366761 BOUND_VARIABLE_307234)))))) (let ((_let_12439 (forall ((BOUND_VARIABLE_366776 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_366775 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307225 tptp.int)) (= (ho_4891 (ho_6935 (ho_6934 k_7152 BOUND_VARIABLE_366776) BOUND_VARIABLE_366775) BOUND_VARIABLE_307225) (ho_4855 BOUND_VARIABLE_366776 (ho_4891 BOUND_VARIABLE_366775 BOUND_VARIABLE_307225)))))) (let ((_let_12440 (forall ((BOUND_VARIABLE_366790 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_307189 tptp.set_int) (BOUND_VARIABLE_307190 tptp.nat) (BOUND_VARIABLE_307191 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_366790 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) BOUND_VARIABLE_307189))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_307191)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_307190) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7153 BOUND_VARIABLE_366790) BOUND_VARIABLE_307189) BOUND_VARIABLE_307190) BOUND_VARIABLE_307191))))))) (let ((_let_12441 (forall ((BOUND_VARIABLE_366814 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_307163 tptp.set_nat) (BOUND_VARIABLE_307164 tptp.nat) (BOUND_VARIABLE_307165 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_366814 (ho_7140 k_7139 BOUND_VARIABLE_307163))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_307165)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_307164) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7154 BOUND_VARIABLE_366814) BOUND_VARIABLE_307163) BOUND_VARIABLE_307164) BOUND_VARIABLE_307165)))))) (let ((_let_12442 (forall ((BOUND_VARIABLE_366838 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_307137 tptp.set_o) (BOUND_VARIABLE_307138 tptp.nat) (BOUND_VARIABLE_307139 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_366838 (ho_4540 k_5068 BOUND_VARIABLE_307137))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_307139)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_307138) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_7155 BOUND_VARIABLE_366838) BOUND_VARIABLE_307137) BOUND_VARIABLE_307138) BOUND_VARIABLE_307139)))))) (let ((_let_12443 (forall ((BOUND_VARIABLE_307118 tptp.set_int) (BOUND_VARIABLE_366865 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_307120 tptp.int) (BOUND_VARIABLE_307121 tptp.nat)) (= (ho_4925 (ho_7159 (ho_7158 (ho_7157 k_7156 BOUND_VARIABLE_307118) BOUND_VARIABLE_366865) BOUND_VARIABLE_307120) BOUND_VARIABLE_307121) (ho_4914 (ho_5432 (ho_5435 k_5434 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_307121) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_366865) BOUND_VARIABLE_307118))) (ho_4925 (ho_7162 (ho_7161 k_7160 BOUND_VARIABLE_307118) BOUND_VARIABLE_366865) BOUND_VARIABLE_307121)) BOUND_VARIABLE_307120))))) (let ((_let_12444 (forall ((BOUND_VARIABLE_307100 tptp.set_nat) (BOUND_VARIABLE_366908 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_307102 tptp.nat) (BOUND_VARIABLE_307103 tptp.rat)) (= (ho_6790 (ho_7166 (ho_7165 (ho_7164 k_7163 BOUND_VARIABLE_307100) BOUND_VARIABLE_366908) BOUND_VARIABLE_307102) BOUND_VARIABLE_307103) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_7175 (ho_7174 k_7173 BOUND_VARIABLE_307103) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_366908) BOUND_VARIABLE_307100))) (ho_6790 (ho_7169 (ho_7168 k_7167 BOUND_VARIABLE_307100) BOUND_VARIABLE_366908) BOUND_VARIABLE_307103)) BOUND_VARIABLE_307102))))) (let ((_let_12445 (forall ((BOUND_VARIABLE_307065 tptp.set_nat) (BOUND_VARIABLE_307066 tptp.nat) (BOUND_VARIABLE_307067 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_307067)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_5558 k_5557 BOUND_VARIABLE_307065) BOUND_VARIABLE_307066)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_6900 k_7176 BOUND_VARIABLE_307065) BOUND_VARIABLE_307066) BOUND_VARIABLE_307067))))) (let ((_let_12446 (forall ((BOUND_VARIABLE_366980 |u_(-> Bool tptp.rat)|) (BOUND_VARIABLE_307047 tptp.set_o) (BOUND_VARIABLE_307048 Bool) (BOUND_VARIABLE_307049 tptp.rat)) (let ((_let_1 (ho_7175 (ho_7174 k_7173 BOUND_VARIABLE_307049) (ho_7180 (ho_7179 k_7178 BOUND_VARIABLE_366980) BOUND_VARIABLE_307047)))) (= (and (or (not _let_1) (ho_7184 (ho_7183 (ho_7182 k_7181 BOUND_VARIABLE_307047) BOUND_VARIABLE_366980) BOUND_VARIABLE_307049)) (or _let_1 BOUND_VARIABLE_307048)) (ho_7184 (ho_7188 (ho_7187 (ho_7186 k_7185 BOUND_VARIABLE_366980) BOUND_VARIABLE_307047) BOUND_VARIABLE_307048) BOUND_VARIABLE_307049)))))) (let ((_let_12447 (forall ((BOUND_VARIABLE_307028 tptp.set_Product_unit) (BOUND_VARIABLE_367041 |u_(-> tptp.product_unit tptp.rat)|) (BOUND_VARIABLE_307030 tptp.product_unit) (BOUND_VARIABLE_307031 tptp.rat)) (= (ho_7194 (ho_7193 (ho_7192 (ho_7191 k_7190 BOUND_VARIABLE_307028) BOUND_VARIABLE_367041) BOUND_VARIABLE_307030) BOUND_VARIABLE_307031) (ho_6912 (ho_7203 (ho_7202 k_7201 (ho_7175 (ho_7174 k_7173 BOUND_VARIABLE_307031) (ho_7200 (ho_7199 k_7198 BOUND_VARIABLE_367041) BOUND_VARIABLE_307028))) (ho_7194 (ho_7197 (ho_7196 k_7195 BOUND_VARIABLE_307028) BOUND_VARIABLE_367041) BOUND_VARIABLE_307031)) BOUND_VARIABLE_307030))))) (let ((_let_12448 (forall ((BOUND_VARIABLE_307010 tptp.set_nat) (BOUND_VARIABLE_367105 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_307012 tptp.nat) (BOUND_VARIABLE_307013 tptp.char)) (= (ho_6811 (ho_7208 (ho_7207 (ho_7206 k_7205 BOUND_VARIABLE_307010) BOUND_VARIABLE_367105) BOUND_VARIABLE_307012) BOUND_VARIABLE_307013) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_7217 (ho_7216 k_7215 BOUND_VARIABLE_307013) (ho_7214 (ho_7213 k_7212 BOUND_VARIABLE_367105) BOUND_VARIABLE_307010))) (ho_6811 (ho_7211 (ho_7210 k_7209 BOUND_VARIABLE_307010) BOUND_VARIABLE_367105) BOUND_VARIABLE_307013)) BOUND_VARIABLE_307012))))) (let ((_let_12449 (forall ((BOUND_VARIABLE_306975 tptp.set_nat) (BOUND_VARIABLE_306976 tptp.nat) (BOUND_VARIABLE_306977 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306977)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_5558 k_5559 BOUND_VARIABLE_306975) BOUND_VARIABLE_306976)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_6900 k_7218 BOUND_VARIABLE_306975) BOUND_VARIABLE_306976) BOUND_VARIABLE_306977))))) (let ((_let_12450 (forall ((BOUND_VARIABLE_367179 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_306957 tptp.set_o) (BOUND_VARIABLE_306958 Bool) (BOUND_VARIABLE_306959 tptp.char)) (let ((_let_1 (ho_7217 (ho_7216 k_7215 BOUND_VARIABLE_306959) (ho_7222 (ho_7221 k_7220 BOUND_VARIABLE_367179) BOUND_VARIABLE_306957)))) (= (and (or (not _let_1) (ho_7226 (ho_7225 (ho_7224 k_7223 BOUND_VARIABLE_306957) BOUND_VARIABLE_367179) BOUND_VARIABLE_306959)) (or _let_1 BOUND_VARIABLE_306958)) (ho_7226 (ho_7230 (ho_7229 (ho_7228 k_7227 BOUND_VARIABLE_367179) BOUND_VARIABLE_306957) BOUND_VARIABLE_306958) BOUND_VARIABLE_306959)))))) (let ((_let_12451 (forall ((BOUND_VARIABLE_306938 tptp.set_Product_unit) (BOUND_VARIABLE_367240 |u_(-> tptp.product_unit tptp.char)|) (BOUND_VARIABLE_306940 tptp.product_unit) (BOUND_VARIABLE_306941 tptp.char)) (= (ho_7236 (ho_7235 (ho_7234 (ho_7233 k_7232 BOUND_VARIABLE_306938) BOUND_VARIABLE_367240) BOUND_VARIABLE_306940) BOUND_VARIABLE_306941) (ho_6912 (ho_7203 (ho_7202 k_7201 (ho_7217 (ho_7216 k_7215 BOUND_VARIABLE_306941) (ho_7242 (ho_7241 k_7240 BOUND_VARIABLE_367240) BOUND_VARIABLE_306938))) (ho_7236 (ho_7239 (ho_7238 k_7237 BOUND_VARIABLE_306938) BOUND_VARIABLE_367240) BOUND_VARIABLE_306941)) BOUND_VARIABLE_306940))))) (let ((_let_12452 (forall ((BOUND_VARIABLE_306920 tptp.set_nat) (BOUND_VARIABLE_367296 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_306922 tptp.nat) (BOUND_VARIABLE_306923 Bool)) (= (ho_6840 (ho_7246 (ho_7245 (ho_7244 k_7243 BOUND_VARIABLE_306920) BOUND_VARIABLE_367296) BOUND_VARIABLE_306922) BOUND_VARIABLE_306923) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_306923) (ho_7252 (ho_7251 k_7250 BOUND_VARIABLE_367296) BOUND_VARIABLE_306920))) (ho_6840 (ho_7249 (ho_7248 k_7247 BOUND_VARIABLE_306920) BOUND_VARIABLE_367296) BOUND_VARIABLE_306923)) BOUND_VARIABLE_306922))))) (let ((_let_12453 (forall ((BOUND_VARIABLE_306884 tptp.set_nat) (BOUND_VARIABLE_306885 tptp.nat) (BOUND_VARIABLE_306886 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306886)) (ho_4699 (ho_4698 k_4697 (ho_4555 (ho_5558 k_5560 BOUND_VARIABLE_306884) BOUND_VARIABLE_306885)) tptp.top_top_set_o))) (ho_4593 (ho_4511 (ho_6900 k_7253 BOUND_VARIABLE_306884) BOUND_VARIABLE_306885) BOUND_VARIABLE_306886))))) (let ((_let_12454 (forall ((BOUND_VARIABLE_367360 |u_(-> Bool Bool)|) (BOUND_VARIABLE_306866 tptp.set_o) (BOUND_VARIABLE_306867 Bool) (BOUND_VARIABLE_306868 Bool)) (let ((_let_1 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_306868) (ho_4864 (ho_7255 k_7254 BOUND_VARIABLE_367360) BOUND_VARIABLE_306866)))) (= (and (or (not _let_1) (ho_5235 (ho_7258 (ho_7257 k_7256 BOUND_VARIABLE_306866) BOUND_VARIABLE_367360) BOUND_VARIABLE_306868)) (or _let_1 BOUND_VARIABLE_306867)) (ho_5235 (ho_6701 (ho_7261 (ho_7260 k_7259 BOUND_VARIABLE_367360) BOUND_VARIABLE_306866) BOUND_VARIABLE_306867) BOUND_VARIABLE_306868)))))) (let ((_let_12455 (forall ((BOUND_VARIABLE_306847 tptp.set_Product_unit) (BOUND_VARIABLE_367409 |u_(-> tptp.product_unit Bool)|) (BOUND_VARIABLE_306849 tptp.product_unit) (BOUND_VARIABLE_306850 Bool)) (= (ho_6908 (ho_7266 (ho_7265 (ho_7264 k_7263 BOUND_VARIABLE_306847) BOUND_VARIABLE_367409) BOUND_VARIABLE_306849) BOUND_VARIABLE_306850) (ho_6912 (ho_7203 (ho_7202 k_7201 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_306850) (ho_7272 (ho_7271 k_7270 BOUND_VARIABLE_367409) BOUND_VARIABLE_306847))) (ho_6908 (ho_7269 (ho_7268 k_7267 BOUND_VARIABLE_306847) BOUND_VARIABLE_367409) BOUND_VARIABLE_306850)) BOUND_VARIABLE_306849))))) (let ((_let_12456 (forall ((BOUND_VARIABLE_306802 tptp.nat) (BOUND_VARIABLE_306803 tptp.nat) (BOUND_VARIABLE_306804 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_306805 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306805)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5564 (ho_5563 k_5562 BOUND_VARIABLE_306802) BOUND_VARIABLE_306803) BOUND_VARIABLE_306804)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_7275 (ho_7274 k_7273 BOUND_VARIABLE_306802) BOUND_VARIABLE_306803) BOUND_VARIABLE_306804) BOUND_VARIABLE_306805))))) (let ((_let_12457 (forall ((BOUND_VARIABLE_306757 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_306758 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_306759 tptp.set_Pr5564308138774400199at_nat) (BOUND_VARIABLE_306760 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_306760)) (ho_4959 (ho_4958 k_4957 (ho_5571 (ho_5570 (ho_5569 k_5568 BOUND_VARIABLE_306757) BOUND_VARIABLE_306758) BOUND_VARIABLE_306759)) tptp.top_top_set_o))) (ho_4544 (ho_7279 (ho_7278 (ho_7277 k_7276 BOUND_VARIABLE_306757) BOUND_VARIABLE_306758) BOUND_VARIABLE_306759) BOUND_VARIABLE_306760))))) (let ((_let_12458 (forall ((BOUND_VARIABLE_306741 tptp.produc859450856879609959at_nat) (BOUND_VARIABLE_306742 tptp.produc859450856879609959at_nat) (BOUND_VARIABLE_306743 tptp.set_Pr553994874890374343at_nat) (BOUND_VARIABLE_306744 Bool)) (= (ho_5499 (ho_7283 (ho_7282 (ho_7281 k_7280 BOUND_VARIABLE_306741) BOUND_VARIABLE_306742) BOUND_VARIABLE_306743) BOUND_VARIABLE_306744) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_306744) (ho_5556 (ho_7287 k_7286 BOUND_VARIABLE_306741) (ho_5556 (ho_7287 k_7286 BOUND_VARIABLE_306742) tptp.bot_bo5327735625951526323at_nat))) (ho_7285 k_7284 BOUND_VARIABLE_306743)))))) (let ((_let_12459 (forall ((BOUND_VARIABLE_306723 tptp.set_nat) (BOUND_VARIABLE_367553 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_306725 tptp.nat) (BOUND_VARIABLE_306726 tptp.int)) (= (ho_4891 (ho_7067 (ho_7290 (ho_7289 k_7288 BOUND_VARIABLE_306723) BOUND_VARIABLE_367553) BOUND_VARIABLE_306725) BOUND_VARIABLE_306726) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_306726) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_367553) BOUND_VARIABLE_306723))) (ho_4891 (ho_7293 (ho_7292 k_7291 BOUND_VARIABLE_306723) BOUND_VARIABLE_367553) BOUND_VARIABLE_306726)) BOUND_VARIABLE_306725))))) (let ((_let_12460 (forall ((BOUND_VARIABLE_306705 tptp.set_nat) (BOUND_VARIABLE_367593 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_306707 tptp.nat) (BOUND_VARIABLE_306708 Bool)) (= (ho_6840 (ho_7246 (ho_7245 (ho_7244 k_7294 BOUND_VARIABLE_306705) BOUND_VARIABLE_367593) BOUND_VARIABLE_306707) BOUND_VARIABLE_306708) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_306708) (ho_7252 (ho_7251 k_7250 BOUND_VARIABLE_367593) BOUND_VARIABLE_306705))) (ho_6840 (ho_7249 (ho_7248 k_7247 BOUND_VARIABLE_306705) BOUND_VARIABLE_367593) BOUND_VARIABLE_306708)) BOUND_VARIABLE_306707))))) (let ((_let_12461 (forall ((BOUND_VARIABLE_306687 tptp.set_nat) (BOUND_VARIABLE_367616 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306689 tptp.nat) (BOUND_VARIABLE_306690 tptp.rat)) (= (ho_6790 (ho_7166 (ho_7165 (ho_7164 k_7295 BOUND_VARIABLE_306687) BOUND_VARIABLE_367616) BOUND_VARIABLE_306689) BOUND_VARIABLE_306690) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_7175 (ho_7174 k_7173 BOUND_VARIABLE_306690) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_367616) BOUND_VARIABLE_306687))) (ho_6790 (ho_7169 (ho_7168 k_7167 BOUND_VARIABLE_306687) BOUND_VARIABLE_367616) BOUND_VARIABLE_306690)) BOUND_VARIABLE_306689))))) (let ((_let_12462 (forall ((BOUND_VARIABLE_367635 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_306669 tptp.set_o) (BOUND_VARIABLE_306670 Bool) (BOUND_VARIABLE_306671 tptp.int)) (let ((_let_1 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_306671) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_367635) BOUND_VARIABLE_306669)))) (= (and (or (not _let_1) (ho_5218 (ho_7298 (ho_7297 k_7296 BOUND_VARIABLE_306669) BOUND_VARIABLE_367635) BOUND_VARIABLE_306671)) (or _let_1 BOUND_VARIABLE_306670)) (ho_5218 (ho_7302 (ho_7301 (ho_7300 k_7299 BOUND_VARIABLE_367635) BOUND_VARIABLE_306669) BOUND_VARIABLE_306670) BOUND_VARIABLE_306671)))))) (let ((_let_12463 (forall ((BOUND_VARIABLE_367678 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_306650 tptp.set_o) (BOUND_VARIABLE_306651 Bool) (BOUND_VARIABLE_306652 tptp.nat)) (let ((_let_1 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_306652) (ho_4867 (ho_7304 k_7303 BOUND_VARIABLE_367678) BOUND_VARIABLE_306650)))) (= (and (or (not _let_1) (ho_4593 (ho_7307 (ho_7306 k_7305 BOUND_VARIABLE_306650) BOUND_VARIABLE_367678) BOUND_VARIABLE_306652)) (or _let_1 BOUND_VARIABLE_306651)) (ho_4593 (ho_5004 (ho_7310 (ho_7309 k_7308 BOUND_VARIABLE_367678) BOUND_VARIABLE_306650) BOUND_VARIABLE_306651) BOUND_VARIABLE_306652)))))) (let ((_let_12464 (forall ((BOUND_VARIABLE_367723 |u_(-> Bool Bool)|) (BOUND_VARIABLE_306631 tptp.set_o) (BOUND_VARIABLE_306632 Bool) (BOUND_VARIABLE_306633 Bool)) (let ((_let_1 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_306633) (ho_4864 (ho_7255 k_7254 BOUND_VARIABLE_367723) BOUND_VARIABLE_306631)))) (= (and (or (not _let_1) (ho_5235 (ho_7258 (ho_7257 k_7256 BOUND_VARIABLE_306631) BOUND_VARIABLE_367723) BOUND_VARIABLE_306633)) (or _let_1 BOUND_VARIABLE_306632)) (ho_5235 (ho_6701 (ho_7261 (ho_7260 k_7311 BOUND_VARIABLE_367723) BOUND_VARIABLE_306631) BOUND_VARIABLE_306632) BOUND_VARIABLE_306633)))))) (let ((_let_12465 (forall ((BOUND_VARIABLE_306612 tptp.set_num) (BOUND_VARIABLE_367751 |u_(-> tptp.num tptp.int)|) (BOUND_VARIABLE_306614 tptp.num) (BOUND_VARIABLE_306615 tptp.int)) (= (ho_5439 (ho_7315 (ho_7314 (ho_7313 k_7312 BOUND_VARIABLE_306612) BOUND_VARIABLE_367751) BOUND_VARIABLE_306614) BOUND_VARIABLE_306615) (ho_4529 (ho_5447 (ho_5449 k_5448 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_306615) (ho_7321 (ho_7320 k_7319 BOUND_VARIABLE_367751) BOUND_VARIABLE_306612))) (ho_5439 (ho_7318 (ho_7317 k_7316 BOUND_VARIABLE_306612) BOUND_VARIABLE_367751) BOUND_VARIABLE_306615)) BOUND_VARIABLE_306614))))) (let ((_let_12466 (forall ((BOUND_VARIABLE_306594 tptp.set_num) (BOUND_VARIABLE_367803 |u_(-> tptp.num tptp.nat)|) (BOUND_VARIABLE_306596 tptp.num) (BOUND_VARIABLE_306597 tptp.nat)) (= (ho_6671 (ho_7326 (ho_7325 (ho_7324 k_7323 BOUND_VARIABLE_306594) BOUND_VARIABLE_367803) BOUND_VARIABLE_306596) BOUND_VARIABLE_306597) (ho_4529 (ho_5447 (ho_5449 k_5448 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_306597) (ho_7332 (ho_7331 k_7330 BOUND_VARIABLE_367803) BOUND_VARIABLE_306594))) (ho_6671 (ho_7329 (ho_7328 k_7327 BOUND_VARIABLE_306594) BOUND_VARIABLE_367803) BOUND_VARIABLE_306597)) BOUND_VARIABLE_306596))))) (let ((_let_12467 (forall ((BOUND_VARIABLE_306576 tptp.set_num) (BOUND_VARIABLE_367856 |u_(-> tptp.num Bool)|) (BOUND_VARIABLE_306578 tptp.num) (BOUND_VARIABLE_306579 Bool)) (= (ho_7337 (ho_7336 (ho_7335 (ho_7334 k_7333 BOUND_VARIABLE_306576) BOUND_VARIABLE_367856) BOUND_VARIABLE_306578) BOUND_VARIABLE_306579) (ho_4529 (ho_5447 (ho_5449 k_5448 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_306579) (ho_7343 (ho_7342 k_7341 BOUND_VARIABLE_367856) BOUND_VARIABLE_306576))) (ho_7337 (ho_7340 (ho_7339 k_7338 BOUND_VARIABLE_306576) BOUND_VARIABLE_367856) BOUND_VARIABLE_306579)) BOUND_VARIABLE_306578))))) (let ((_let_12468 (forall ((BOUND_VARIABLE_367910 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_367909 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_306567 tptp.nat)) (= (ho_7347 (ho_7346 (ho_7345 k_7344 BOUND_VARIABLE_367910) BOUND_VARIABLE_367909) BOUND_VARIABLE_306567) (ho_7347 (ho_7349 k_7348 (ho_4880 BOUND_VARIABLE_367910 BOUND_VARIABLE_306567)) (ho_4855 BOUND_VARIABLE_367909 BOUND_VARIABLE_306567)))))) (let ((_let_12469 (forall ((BOUND_VARIABLE_367942 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_367941 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_306551 tptp.set_nat) (BOUND_VARIABLE_306552 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_7352 (ho_7351 k_7350 BOUND_VARIABLE_367942) BOUND_VARIABLE_367941) BOUND_VARIABLE_306551) BOUND_VARIABLE_306552) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_367942) (ho_4560 (ho_4559 k_4928 (ho_4888 (ho_4887 k_4886 BOUND_VARIABLE_367941) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_306552) tptp.bot_bo3957492148770167129t_unit))) BOUND_VARIABLE_306551)))))) (let ((_let_12470 (forall ((BOUND_VARIABLE_367971 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_367970 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306540 tptp.nat)) (= (ho_7356 (ho_7355 (ho_7354 k_7353 BOUND_VARIABLE_367971) BOUND_VARIABLE_367970) BOUND_VARIABLE_306540) (ho_7359 (ho_7358 k_7357 (ho_4880 BOUND_VARIABLE_367971 BOUND_VARIABLE_306540)) (ho_6357 BOUND_VARIABLE_367970 BOUND_VARIABLE_306540)))))) (let ((_let_12471 (forall ((BOUND_VARIABLE_368006 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_368005 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_306524 tptp.set_nat) (BOUND_VARIABLE_306525 tptp.product_unit)) (= (ho_7364 (ho_7363 (ho_7362 (ho_7361 k_7360 BOUND_VARIABLE_368006) BOUND_VARIABLE_368005) BOUND_VARIABLE_306524) BOUND_VARIABLE_306525) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_368006) (ho_4560 (ho_4559 k_4928 (ho_4888 (ho_4887 k_4886 BOUND_VARIABLE_368005) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_306525) tptp.bot_bo3957492148770167129t_unit))) BOUND_VARIABLE_306524)))))) (let ((_let_12472 (forall ((BOUND_VARIABLE_368041 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_368040 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_306513 tptp.int)) (= (ho_4604 (ho_7367 (ho_7366 k_7365 BOUND_VARIABLE_368041) BOUND_VARIABLE_368040) BOUND_VARIABLE_306513) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_368041 BOUND_VARIABLE_306513)) (ho_4914 BOUND_VARIABLE_368040 BOUND_VARIABLE_306513)))))) (let ((_let_12473 (forall ((BOUND_VARIABLE_368064 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_368061 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_306458 tptp.set_int) (BOUND_VARIABLE_306459 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_306459)) (ho_4899 (ho_4898 k_4897 (ho_5575 (ho_5574 (ho_5573 k_5572 BOUND_VARIABLE_368064) BOUND_VARIABLE_368061) BOUND_VARIABLE_306458)) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_368061) BOUND_VARIABLE_306458)))) (ho_4599 (ho_4924 (ho_5323 (ho_7369 k_7368 BOUND_VARIABLE_368064) BOUND_VARIABLE_368061) BOUND_VARIABLE_306458) BOUND_VARIABLE_306459))))) (let ((_let_12474 (forall ((BOUND_VARIABLE_368094 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_368093 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_306447 tptp.nat)) (= (ho_7373 (ho_7372 (ho_7371 k_7370 BOUND_VARIABLE_368094) BOUND_VARIABLE_368093) BOUND_VARIABLE_306447) (ho_4604 (ho_4603 k_4602 (ho_4925 BOUND_VARIABLE_368094 BOUND_VARIABLE_306447)) (ho_4925 BOUND_VARIABLE_368093 BOUND_VARIABLE_306447)))))) (let ((_let_12475 (forall ((BOUND_VARIABLE_368120 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_368117 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_306392 tptp.set_nat) (BOUND_VARIABLE_306393 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_306393)) (ho_4899 (ho_4898 k_4897 (ho_5579 (ho_5578 (ho_5577 k_5576 BOUND_VARIABLE_368120) BOUND_VARIABLE_368117) BOUND_VARIABLE_306392)) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_368117) BOUND_VARIABLE_306392)))) (ho_4599 (ho_4936 (ho_7376 (ho_7375 k_7374 BOUND_VARIABLE_368120) BOUND_VARIABLE_368117) BOUND_VARIABLE_306392) BOUND_VARIABLE_306393))))) (let ((_let_12476 (forall ((BOUND_VARIABLE_368154 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_368153 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_306381 tptp.int)) (= (ho_7380 (ho_7379 (ho_7378 k_7377 BOUND_VARIABLE_368154) BOUND_VARIABLE_368153) BOUND_VARIABLE_306381) (ho_7383 (ho_7382 k_7381 (ho_4914 BOUND_VARIABLE_368154 BOUND_VARIABLE_306381)) (ho_4891 BOUND_VARIABLE_368153 BOUND_VARIABLE_306381)))))) (let ((_let_12477 (forall ((BOUND_VARIABLE_368189 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_368188 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_306365 tptp.set_int) (BOUND_VARIABLE_306366 tptp.int)) (= (ho_4946 (ho_7387 (ho_7386 (ho_7385 k_7384 BOUND_VARIABLE_368189) BOUND_VARIABLE_368188) BOUND_VARIABLE_306365) BOUND_VARIABLE_306366) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_368189) (ho_4913 (ho_4918 k_4917 (ho_4913 (ho_4916 k_4915 BOUND_VARIABLE_368188) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_306366) tptp.bot_bot_set_int))) BOUND_VARIABLE_306365)))))) (let ((_let_12478 (forall ((BOUND_VARIABLE_368221 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_368220 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_306354 tptp.nat)) (= (ho_7383 (ho_7390 (ho_7389 k_7388 BOUND_VARIABLE_368221) BOUND_VARIABLE_368220) BOUND_VARIABLE_306354) (ho_7383 (ho_7382 k_7381 (ho_4925 BOUND_VARIABLE_368221 BOUND_VARIABLE_306354)) (ho_4855 BOUND_VARIABLE_368220 BOUND_VARIABLE_306354)))))) (let ((_let_12479 (forall ((BOUND_VARIABLE_368246 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_368245 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_306338 tptp.set_nat) (BOUND_VARIABLE_306339 tptp.int)) (= (ho_4946 (ho_7394 (ho_7393 (ho_7392 k_7391 BOUND_VARIABLE_368246) BOUND_VARIABLE_368245) BOUND_VARIABLE_306338) BOUND_VARIABLE_306339) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_368246) (ho_4560 (ho_4559 k_4928 (ho_4894 (ho_4927 k_4926 BOUND_VARIABLE_368245) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_306339) tptp.bot_bot_set_int))) BOUND_VARIABLE_306338)))))) (let ((_let_12480 (forall ((BOUND_VARIABLE_368278 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_368277 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306327 tptp.nat)) (= (ho_7398 (ho_7397 (ho_7396 k_7395 BOUND_VARIABLE_368278) BOUND_VARIABLE_368277) BOUND_VARIABLE_306327) (ho_7401 (ho_7400 k_7399 (ho_4925 BOUND_VARIABLE_368278 BOUND_VARIABLE_306327)) (ho_6357 BOUND_VARIABLE_368277 BOUND_VARIABLE_306327)))))) (let ((_let_12481 (forall ((BOUND_VARIABLE_368313 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_368312 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_306311 tptp.set_nat) (BOUND_VARIABLE_306312 tptp.int)) (= (ho_7406 (ho_7405 (ho_7404 (ho_7403 k_7402 BOUND_VARIABLE_368313) BOUND_VARIABLE_368312) BOUND_VARIABLE_306311) BOUND_VARIABLE_306312) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_368313) (ho_4560 (ho_4559 k_4928 (ho_4894 (ho_4927 k_4926 BOUND_VARIABLE_368312) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_306312) tptp.bot_bot_set_int))) BOUND_VARIABLE_306311)))))) (let ((_let_12482 (forall ((BOUND_VARIABLE_368348 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_368347 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_306300 tptp.nat)) (= (ho_7410 (ho_7409 (ho_7408 k_7407 BOUND_VARIABLE_368348) BOUND_VARIABLE_368347) BOUND_VARIABLE_306300) (ho_7413 (ho_7412 k_7411 (ho_6357 BOUND_VARIABLE_368348 BOUND_VARIABLE_306300)) (ho_4925 BOUND_VARIABLE_368347 BOUND_VARIABLE_306300)))))) (let ((_let_12483 (forall ((BOUND_VARIABLE_368383 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_368382 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306284 tptp.set_nat) (BOUND_VARIABLE_306285 tptp.rat)) (= (ho_7418 (ho_7417 (ho_7416 (ho_7415 k_7414 BOUND_VARIABLE_368383) BOUND_VARIABLE_368382) BOUND_VARIABLE_306284) BOUND_VARIABLE_306285) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_368383) (ho_4560 (ho_4559 k_4928 (ho_7424 (ho_7423 k_7422 BOUND_VARIABLE_368382) (ho_7421 (ho_7420 k_7419 BOUND_VARIABLE_306285) tptp.bot_bot_set_rat))) BOUND_VARIABLE_306284)))))) (let ((_let_12484 (forall ((BOUND_VARIABLE_368433 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_368432 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_306273 tptp.nat)) (= (ho_7428 (ho_7427 (ho_7426 k_7425 BOUND_VARIABLE_368433) BOUND_VARIABLE_368432) BOUND_VARIABLE_306273) (ho_7428 (ho_7430 k_7429 (ho_6357 BOUND_VARIABLE_368433 BOUND_VARIABLE_306273)) (ho_4855 BOUND_VARIABLE_368432 BOUND_VARIABLE_306273)))))) (let ((_let_12485 (forall ((BOUND_VARIABLE_368465 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_368464 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306257 tptp.set_nat) (BOUND_VARIABLE_306258 tptp.rat)) (= (ho_6358 (ho_7434 (ho_7433 (ho_7432 k_7431 BOUND_VARIABLE_368465) BOUND_VARIABLE_368464) BOUND_VARIABLE_306257) BOUND_VARIABLE_306258) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_368465) (ho_4560 (ho_4559 k_4928 (ho_7424 (ho_7423 k_7422 BOUND_VARIABLE_368464) (ho_7421 (ho_7420 k_7419 BOUND_VARIABLE_306258) tptp.bot_bot_set_rat))) BOUND_VARIABLE_306257)))))) (let ((_let_12486 (forall ((BOUND_VARIABLE_368497 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_368496 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306246 tptp.nat)) (= (ho_7438 (ho_7437 (ho_7436 k_7435 BOUND_VARIABLE_368497) BOUND_VARIABLE_368496) BOUND_VARIABLE_306246) (ho_7441 (ho_7440 k_7439 (ho_6357 BOUND_VARIABLE_368497 BOUND_VARIABLE_306246)) (ho_6357 BOUND_VARIABLE_368496 BOUND_VARIABLE_306246)))))) (let ((_let_12487 (forall ((BOUND_VARIABLE_368532 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_368531 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_306230 tptp.set_nat) (BOUND_VARIABLE_306231 tptp.rat)) (= (ho_7446 (ho_7445 (ho_7444 (ho_7443 k_7442 BOUND_VARIABLE_368532) BOUND_VARIABLE_368531) BOUND_VARIABLE_306230) BOUND_VARIABLE_306231) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_368532) (ho_4560 (ho_4559 k_4928 (ho_7424 (ho_7423 k_7422 BOUND_VARIABLE_368531) (ho_7421 (ho_7420 k_7419 BOUND_VARIABLE_306231) tptp.bot_bot_set_rat))) BOUND_VARIABLE_306230)))))) (let ((_let_12488 (forall ((BOUND_VARIABLE_368568 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_306211 tptp.product_unit) (BOUND_VARIABLE_306212 tptp.set_nat) (BOUND_VARIABLE_306213 tptp.set_Product_unit) (BOUND_VARIABLE_306214 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7450 (ho_7449 (ho_7448 k_7447 BOUND_VARIABLE_368568) BOUND_VARIABLE_306211) BOUND_VARIABLE_306212) BOUND_VARIABLE_306213) BOUND_VARIABLE_306214) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306214)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_7453 (ho_7452 k_7451 BOUND_VARIABLE_368568) BOUND_VARIABLE_306211) BOUND_VARIABLE_306212)) BOUND_VARIABLE_306213))))))) (let ((_let_12489 (forall ((BOUND_VARIABLE_368605 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_306143 tptp.product_unit) (BOUND_VARIABLE_306144 tptp.set_Product_unit) (BOUND_VARIABLE_306145 tptp.set_nat) (BOUND_VARIABLE_306146 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306146)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5586 (ho_5585 (ho_5584 k_5583 BOUND_VARIABLE_368605) BOUND_VARIABLE_306143) BOUND_VARIABLE_306144) BOUND_VARIABLE_306145)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7457 (ho_7456 (ho_7455 k_7454 BOUND_VARIABLE_368605) BOUND_VARIABLE_306143) BOUND_VARIABLE_306144) BOUND_VARIABLE_306145) BOUND_VARIABLE_306146))))) (let ((_let_12490 (forall ((BOUND_VARIABLE_368645 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_306125 tptp.int) (BOUND_VARIABLE_306126 tptp.set_nat) (BOUND_VARIABLE_306127 tptp.set_int) (BOUND_VARIABLE_306128 tptp.nat)) (= (ho_4593 (ho_5080 (ho_7461 (ho_7460 (ho_7459 k_7458 BOUND_VARIABLE_368645) BOUND_VARIABLE_306125) BOUND_VARIABLE_306126) BOUND_VARIABLE_306127) BOUND_VARIABLE_306128) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306128)) (ho_4954 (ho_4953 k_4952 (ho_7394 (ho_7464 (ho_7463 k_7462 BOUND_VARIABLE_368645) BOUND_VARIABLE_306125) BOUND_VARIABLE_306126)) BOUND_VARIABLE_306127))))))) (let ((_let_12491 (forall ((BOUND_VARIABLE_368682 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_306057 tptp.int) (BOUND_VARIABLE_306058 tptp.set_int) (BOUND_VARIABLE_306059 tptp.set_nat) (BOUND_VARIABLE_306060 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_306060)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5590 (ho_5589 (ho_5588 k_5587 BOUND_VARIABLE_368682) BOUND_VARIABLE_306057) BOUND_VARIABLE_306058) BOUND_VARIABLE_306059)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7468 (ho_7467 (ho_7466 k_7465 BOUND_VARIABLE_368682) BOUND_VARIABLE_306057) BOUND_VARIABLE_306058) BOUND_VARIABLE_306059) BOUND_VARIABLE_306060))))) (let ((_let_12492 (forall ((BOUND_VARIABLE_368722 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_306039 tptp.nat) (BOUND_VARIABLE_306040 tptp.set_o) (BOUND_VARIABLE_306041 tptp.set_nat) (BOUND_VARIABLE_306042 Bool)) (= (ho_5235 (ho_7473 (ho_7472 (ho_7471 (ho_7470 k_7469 BOUND_VARIABLE_368722) BOUND_VARIABLE_306039) BOUND_VARIABLE_306040) BOUND_VARIABLE_306041) BOUND_VARIABLE_306042) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_306042)) (ho_7479 (ho_7478 k_7477 (ho_6014 (ho_7476 (ho_7475 k_7474 BOUND_VARIABLE_368722) BOUND_VARIABLE_306039) BOUND_VARIABLE_306040)) BOUND_VARIABLE_306041))))))) (let ((_let_12493 (forall ((BOUND_VARIABLE_368774 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_306014 tptp.set_nat) (BOUND_VARIABLE_306015 tptp.nat) (BOUND_VARIABLE_306016 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_306016)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_368774) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_306014) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_306015) (ho_4845 k_4844 k_4852)))))) (ho_5235 (ho_7483 (ho_7482 (ho_7481 k_7480 BOUND_VARIABLE_368774) BOUND_VARIABLE_306014) BOUND_VARIABLE_306015) BOUND_VARIABLE_306016))))) (let ((_let_12494 (forall ((BOUND_VARIABLE_368808 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_305996 Bool) (BOUND_VARIABLE_305997 tptp.set_o) (BOUND_VARIABLE_305998 tptp.set_o) (BOUND_VARIABLE_305999 Bool)) (= (ho_5235 (ho_5234 (ho_7487 (ho_7486 (ho_7485 k_7484 BOUND_VARIABLE_368808) BOUND_VARIABLE_305996) BOUND_VARIABLE_305997) BOUND_VARIABLE_305998) BOUND_VARIABLE_305999) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_305999)) (ho_7493 (ho_7492 k_7491 (ho_6021 (ho_7490 (ho_7489 k_7488 BOUND_VARIABLE_368808) BOUND_VARIABLE_305996) BOUND_VARIABLE_305997)) BOUND_VARIABLE_305998))))))) (let ((_let_12495 (forall ((BOUND_VARIABLE_368857 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_305978 tptp.set_o) (BOUND_VARIABLE_305979 Bool) (BOUND_VARIABLE_305980 Bool)) (= (ho_5235 (ho_6701 (ho_7261 (ho_7495 k_7494 BOUND_VARIABLE_368857) BOUND_VARIABLE_305978) BOUND_VARIABLE_305979) BOUND_VARIABLE_305980) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_305980)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_368857) (ho_4864 (ho_6016 k_7496 BOUND_VARIABLE_305978) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_305979) tptp.bot_bot_set_o))))))))) (let ((_let_12496 (forall ((BOUND_VARIABLE_368886 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_305960 tptp.product_unit) (BOUND_VARIABLE_305961 tptp.set_o) (BOUND_VARIABLE_305962 tptp.set_Product_unit) (BOUND_VARIABLE_305963 Bool)) (= (ho_5235 (ho_7501 (ho_7500 (ho_7499 (ho_7498 k_7497 BOUND_VARIABLE_368886) BOUND_VARIABLE_305960) BOUND_VARIABLE_305961) BOUND_VARIABLE_305962) BOUND_VARIABLE_305963) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_305963)) (ho_7507 (ho_7506 k_7505 (ho_6026 (ho_7504 (ho_7503 k_7502 BOUND_VARIABLE_368886) BOUND_VARIABLE_305960) BOUND_VARIABLE_305961)) BOUND_VARIABLE_305962))))))) (let ((_let_12497 (forall ((BOUND_VARIABLE_368938 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_305942 tptp.set_Product_unit) (BOUND_VARIABLE_305943 tptp.product_unit) (BOUND_VARIABLE_305944 Bool)) (= (ho_5235 (ho_7511 (ho_7510 (ho_7509 k_7508 BOUND_VARIABLE_368938) BOUND_VARIABLE_305942) BOUND_VARIABLE_305943) BOUND_VARIABLE_305944) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_305944)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_368938) (ho_4885 (ho_4942 k_4941 BOUND_VARIABLE_305942) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_305943) tptp.bot_bo3957492148770167129t_unit))))))))) (let ((_let_12498 (forall ((BOUND_VARIABLE_368972 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_305924 tptp.int) (BOUND_VARIABLE_305925 tptp.set_o) (BOUND_VARIABLE_305926 tptp.set_int) (BOUND_VARIABLE_305927 Bool)) (= (ho_5235 (ho_7516 (ho_7515 (ho_7514 (ho_7513 k_7512 BOUND_VARIABLE_368972) BOUND_VARIABLE_305924) BOUND_VARIABLE_305925) BOUND_VARIABLE_305926) BOUND_VARIABLE_305927) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_305927)) (ho_7523 (ho_7522 k_7521 (ho_7520 (ho_7519 (ho_7518 k_7517 BOUND_VARIABLE_368972) BOUND_VARIABLE_305924) BOUND_VARIABLE_305925)) BOUND_VARIABLE_305926))))))) (let ((_let_12499 (forall ((BOUND_VARIABLE_369027 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_305906 tptp.set_int) (BOUND_VARIABLE_305907 tptp.int) (BOUND_VARIABLE_305908 Bool)) (= (ho_5235 (ho_7527 (ho_7526 (ho_7525 k_7524 BOUND_VARIABLE_369027) BOUND_VARIABLE_305906) BOUND_VARIABLE_305907) BOUND_VARIABLE_305908) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_305908)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_369027) (ho_4913 (ho_4918 k_4951 BOUND_VARIABLE_305906) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_305907) tptp.bot_bot_set_int))))))))) (let ((_let_12500 (forall ((BOUND_VARIABLE_369056 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_305881 tptp.nat) (BOUND_VARIABLE_305882 tptp.nat) (BOUND_VARIABLE_305883 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_369056 BOUND_VARIABLE_305881)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305883)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305882) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_7528 BOUND_VARIABLE_369056) BOUND_VARIABLE_305881) BOUND_VARIABLE_305882) BOUND_VARIABLE_305883)))))) (let ((_let_12501 (forall ((BOUND_VARIABLE_369083 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_305854 tptp.set_nat) (BOUND_VARIABLE_305855 tptp.nat) (BOUND_VARIABLE_305856 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_369083) BOUND_VARIABLE_305854))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305856)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305855) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7530 BOUND_VARIABLE_369083) BOUND_VARIABLE_305854) BOUND_VARIABLE_305855) BOUND_VARIABLE_305856)))))) (let ((_let_12502 (forall ((BOUND_VARIABLE_369108 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_305829 Bool) (BOUND_VARIABLE_305830 tptp.nat) (BOUND_VARIABLE_305831 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_369108 BOUND_VARIABLE_305829)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305831)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305830) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_7531 BOUND_VARIABLE_369108) BOUND_VARIABLE_305829) BOUND_VARIABLE_305830) BOUND_VARIABLE_305831)))))) (let ((_let_12503 (forall ((BOUND_VARIABLE_369138 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_305802 tptp.set_o) (BOUND_VARIABLE_305803 tptp.nat) (BOUND_VARIABLE_305804 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_369138) BOUND_VARIABLE_305802))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305804)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305803) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_7534 BOUND_VARIABLE_369138) BOUND_VARIABLE_305802) BOUND_VARIABLE_305803) BOUND_VARIABLE_305804)))))) (let ((_let_12504 (forall ((BOUND_VARIABLE_369163 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_305777 tptp.product_unit) (BOUND_VARIABLE_305778 tptp.nat) (BOUND_VARIABLE_305779 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6102 BOUND_VARIABLE_369163 BOUND_VARIABLE_305777)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305779)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305778) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7537 (ho_7536 k_7535 BOUND_VARIABLE_369163) BOUND_VARIABLE_305777) BOUND_VARIABLE_305778) BOUND_VARIABLE_305779)))))) (let ((_let_12505 (forall ((BOUND_VARIABLE_369193 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_305750 tptp.set_Product_unit) (BOUND_VARIABLE_305751 tptp.nat) (BOUND_VARIABLE_305752 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_369193) BOUND_VARIABLE_305750))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305752)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305751) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6894 (ho_6893 k_7538 BOUND_VARIABLE_369193) BOUND_VARIABLE_305750) BOUND_VARIABLE_305751) BOUND_VARIABLE_305752)))))) (let ((_let_12506 (forall ((BOUND_VARIABLE_369218 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_305725 tptp.int) (BOUND_VARIABLE_305726 tptp.nat) (BOUND_VARIABLE_305727 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_369218 BOUND_VARIABLE_305725)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305727)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305726) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7539 BOUND_VARIABLE_369218) BOUND_VARIABLE_305725) BOUND_VARIABLE_305726) BOUND_VARIABLE_305727)))))) (let ((_let_12507 (forall ((BOUND_VARIABLE_369245 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_305698 tptp.set_int) (BOUND_VARIABLE_305699 tptp.nat) (BOUND_VARIABLE_305700 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_369245) BOUND_VARIABLE_305698))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305700)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305699) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7541 BOUND_VARIABLE_369245) BOUND_VARIABLE_305698) BOUND_VARIABLE_305699) BOUND_VARIABLE_305700)))))) (let ((_let_12508 (forall ((BOUND_VARIABLE_369270 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_305673 tptp.nat) (BOUND_VARIABLE_305674 tptp.nat) (BOUND_VARIABLE_305675 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_369270 BOUND_VARIABLE_305673)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305675)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305674) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_7542 BOUND_VARIABLE_369270) BOUND_VARIABLE_305673) BOUND_VARIABLE_305674) BOUND_VARIABLE_305675)))))) (let ((_let_12509 (forall ((BOUND_VARIABLE_369293 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_305638 tptp.set_nat) (BOUND_VARIABLE_305639 tptp.nat) (BOUND_VARIABLE_305640 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_369293) BOUND_VARIABLE_305638))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_305640)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305639) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7543 BOUND_VARIABLE_369293) BOUND_VARIABLE_305638) BOUND_VARIABLE_305639) BOUND_VARIABLE_305640))))))) (let ((_let_12510 (forall ((BOUND_VARIABLE_369320 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_305613 Bool) (BOUND_VARIABLE_305614 tptp.nat) (BOUND_VARIABLE_305615 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_369320 BOUND_VARIABLE_305613)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305615)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305614) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_7544 BOUND_VARIABLE_369320) BOUND_VARIABLE_305613) BOUND_VARIABLE_305614) BOUND_VARIABLE_305615)))))) (let ((_let_12511 (forall ((BOUND_VARIABLE_369343 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_305578 tptp.set_o) (BOUND_VARIABLE_305579 tptp.nat) (BOUND_VARIABLE_305580 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_369343) BOUND_VARIABLE_305578))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_305580)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305579) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_7545 BOUND_VARIABLE_369343) BOUND_VARIABLE_305578) BOUND_VARIABLE_305579) BOUND_VARIABLE_305580))))))) (let ((_let_12512 (forall ((BOUND_VARIABLE_369370 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_305553 tptp.product_unit) (BOUND_VARIABLE_305554 tptp.nat) (BOUND_VARIABLE_305555 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6102 BOUND_VARIABLE_369370 BOUND_VARIABLE_305553)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305555)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305554) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7537 (ho_7536 k_7546 BOUND_VARIABLE_369370) BOUND_VARIABLE_305553) BOUND_VARIABLE_305554) BOUND_VARIABLE_305555)))))) (let ((_let_12513 (forall ((BOUND_VARIABLE_369393 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_305518 tptp.set_Product_unit) (BOUND_VARIABLE_305519 tptp.nat) (BOUND_VARIABLE_305520 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_369393) BOUND_VARIABLE_305518))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_305520)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305519) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6894 (ho_6893 k_7547 BOUND_VARIABLE_369393) BOUND_VARIABLE_305518) BOUND_VARIABLE_305519) BOUND_VARIABLE_305520))))))) (let ((_let_12514 (forall ((BOUND_VARIABLE_369420 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_305493 tptp.int) (BOUND_VARIABLE_305494 tptp.nat) (BOUND_VARIABLE_305495 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_369420 BOUND_VARIABLE_305493)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305495)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305494) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7548 BOUND_VARIABLE_369420) BOUND_VARIABLE_305493) BOUND_VARIABLE_305494) BOUND_VARIABLE_305495)))))) (let ((_let_12515 (forall ((BOUND_VARIABLE_369443 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_305458 tptp.set_int) (BOUND_VARIABLE_305459 tptp.nat) (BOUND_VARIABLE_305460 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_369443) BOUND_VARIABLE_305458))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_305460)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305459) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7549 BOUND_VARIABLE_369443) BOUND_VARIABLE_305458) BOUND_VARIABLE_305459) BOUND_VARIABLE_305460))))))) (let ((_let_12516 (forall ((BOUND_VARIABLE_369473 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_305445 tptp.set_nat) (BOUND_VARIABLE_305446 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7550 BOUND_VARIABLE_369473) BOUND_VARIABLE_305445) BOUND_VARIABLE_305446) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305446)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_369473) BOUND_VARIABLE_305445))))))) (let ((_let_12517 (forall ((BOUND_VARIABLE_369488 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_369487 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_305411 tptp.set_nat) (BOUND_VARIABLE_305412 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305412)) (ho_7553 (ho_7552 k_7551 (ho_5593 (ho_5592 k_5591 BOUND_VARIABLE_369488) BOUND_VARIABLE_369487)) BOUND_VARIABLE_305411))) (ho_5218 (ho_7557 (ho_7556 (ho_7555 k_7554 BOUND_VARIABLE_369488) BOUND_VARIABLE_369487) BOUND_VARIABLE_305411) BOUND_VARIABLE_305412))))) (let ((_let_12518 (forall ((BOUND_VARIABLE_369532 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_369531 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_305401 tptp.nat)) (= (ho_7561 (ho_7560 (ho_7559 k_7558 BOUND_VARIABLE_369532) BOUND_VARIABLE_369531) BOUND_VARIABLE_305401) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_369532) (ho_4551 BOUND_VARIABLE_369531 BOUND_VARIABLE_305401)))))) (let ((_let_12519 (forall ((BOUND_VARIABLE_369557 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_305387 tptp.set_nat) (BOUND_VARIABLE_305388 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7562 BOUND_VARIABLE_369557) BOUND_VARIABLE_305387) BOUND_VARIABLE_305388) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305388)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_369557) BOUND_VARIABLE_305387))))))) (let ((_let_12520 (forall ((BOUND_VARIABLE_369574 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_305374 tptp.set_o) (BOUND_VARIABLE_305375 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7563 BOUND_VARIABLE_369574) BOUND_VARIABLE_305374) BOUND_VARIABLE_305375) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305375)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_369574) BOUND_VARIABLE_305374))))))) (let ((_let_12521 (forall ((BOUND_VARIABLE_369589 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_369588 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_305340 tptp.set_o) (BOUND_VARIABLE_305341 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305341)) (ho_7566 (ho_7565 k_7564 (ho_5597 (ho_5596 k_5595 BOUND_VARIABLE_369589) BOUND_VARIABLE_369588)) BOUND_VARIABLE_305340))) (ho_5218 (ho_7570 (ho_7569 (ho_7568 k_7567 BOUND_VARIABLE_369589) BOUND_VARIABLE_369588) BOUND_VARIABLE_305340) BOUND_VARIABLE_305341))))) (let ((_let_12522 (forall ((BOUND_VARIABLE_369633 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_369632 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_305330 Bool)) (= (ho_7574 (ho_7573 (ho_7572 k_7571 BOUND_VARIABLE_369633) BOUND_VARIABLE_369632) BOUND_VARIABLE_305330) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_369633) (ho_4556 BOUND_VARIABLE_369632 BOUND_VARIABLE_305330)))))) (let ((_let_12523 (forall ((BOUND_VARIABLE_369658 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_305316 tptp.set_o) (BOUND_VARIABLE_305317 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7575 BOUND_VARIABLE_369658) BOUND_VARIABLE_305316) BOUND_VARIABLE_305317) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305317)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_369658) BOUND_VARIABLE_305316))))))) (let ((_let_12524 (forall ((BOUND_VARIABLE_369675 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_305303 tptp.set_int) (BOUND_VARIABLE_305304 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_7576 BOUND_VARIABLE_369675) BOUND_VARIABLE_305303) BOUND_VARIABLE_305304) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305304)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_369675) BOUND_VARIABLE_305303))))))) (let ((_let_12525 (forall ((BOUND_VARIABLE_369702 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_369701 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_305269 tptp.set_int) (BOUND_VARIABLE_305270 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305270)) (ho_4954 (ho_4953 k_4952 (ho_5601 (ho_5600 k_5599 BOUND_VARIABLE_369702) BOUND_VARIABLE_369701)) BOUND_VARIABLE_305269))) (ho_4593 (ho_5080 (ho_7583 (ho_7582 k_7581 BOUND_VARIABLE_369702) BOUND_VARIABLE_369701) BOUND_VARIABLE_305269) BOUND_VARIABLE_305270))))) (let ((_let_12526 (forall ((BOUND_VARIABLE_369734 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_305255 tptp.set_nat) (BOUND_VARIABLE_305256 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_7584 BOUND_VARIABLE_369734) BOUND_VARIABLE_305255) BOUND_VARIABLE_305256) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305256)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_369734) BOUND_VARIABLE_305255))))))) (let ((_let_12527 (forall ((BOUND_VARIABLE_369753 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_369752 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_305221 tptp.set_nat) (BOUND_VARIABLE_305222 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305222)) (ho_4765 (ho_4764 k_4763 (ho_5604 (ho_5603 k_5602 BOUND_VARIABLE_369753) BOUND_VARIABLE_369752)) BOUND_VARIABLE_305221))) (ho_4593 (ho_4762 (ho_7588 (ho_7587 k_7586 BOUND_VARIABLE_369753) BOUND_VARIABLE_369752) BOUND_VARIABLE_305221) BOUND_VARIABLE_305222))))) (let ((_let_12528 (forall ((BOUND_VARIABLE_369785 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_305207 tptp.set_o) (BOUND_VARIABLE_305208 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_7589 BOUND_VARIABLE_369785) BOUND_VARIABLE_305207) BOUND_VARIABLE_305208) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305208)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_369785) BOUND_VARIABLE_305207))))))) (let ((_let_12529 (forall ((BOUND_VARIABLE_369804 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_369803 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_305173 tptp.set_o) (BOUND_VARIABLE_305174 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_305174)) (ho_4699 (ho_4698 k_4697 (ho_5607 (ho_5606 k_5605 BOUND_VARIABLE_369804) BOUND_VARIABLE_369803)) BOUND_VARIABLE_305173))) (ho_4593 (ho_5000 (ho_7593 (ho_7592 k_7591 BOUND_VARIABLE_369804) BOUND_VARIABLE_369803) BOUND_VARIABLE_305173) BOUND_VARIABLE_305174))))) (let ((_let_12530 (forall ((BOUND_VARIABLE_369836 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_305159 tptp.set_int) (BOUND_VARIABLE_305160 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_7594 BOUND_VARIABLE_369836) BOUND_VARIABLE_305159) BOUND_VARIABLE_305160) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305160)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_369836) BOUND_VARIABLE_305159))))))) (let ((_let_12531 (forall ((BOUND_VARIABLE_369851 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_369850 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_305126 tptp.set_int) (BOUND_VARIABLE_305127 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305127)) (ho_7580 (ho_7579 k_7578 (ho_5610 (ho_5609 k_5608 BOUND_VARIABLE_369851) BOUND_VARIABLE_369850)) BOUND_VARIABLE_305126))) (ho_5218 (ho_5229 (ho_7577 (ho_7596 k_7595 BOUND_VARIABLE_369851) BOUND_VARIABLE_369850) BOUND_VARIABLE_305126) BOUND_VARIABLE_305127))))) (let ((_let_12532 (forall ((BOUND_VARIABLE_369879 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_305112 tptp.set_nat) (BOUND_VARIABLE_305113 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_7597 BOUND_VARIABLE_369879) BOUND_VARIABLE_305112) BOUND_VARIABLE_305113) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305113)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_369879) BOUND_VARIABLE_305112))))))) (let ((_let_12533 (forall ((BOUND_VARIABLE_369894 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_369893 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_305079 tptp.set_nat) (BOUND_VARIABLE_305080 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305080)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_5612 k_5611 BOUND_VARIABLE_369894) BOUND_VARIABLE_369893)) BOUND_VARIABLE_305079))) (ho_5218 (ho_7557 (ho_7585 (ho_7599 k_7598 BOUND_VARIABLE_369894) BOUND_VARIABLE_369893) BOUND_VARIABLE_305079) BOUND_VARIABLE_305080))))) (let ((_let_12534 (forall ((BOUND_VARIABLE_369922 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_305065 tptp.set_o) (BOUND_VARIABLE_305066 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_7600 BOUND_VARIABLE_369922) BOUND_VARIABLE_305065) BOUND_VARIABLE_305066) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305066)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_369922) BOUND_VARIABLE_305065))))))) (let ((_let_12535 (forall ((BOUND_VARIABLE_369937 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_369936 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_305032 tptp.set_o) (BOUND_VARIABLE_305033 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_305033)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_5615 k_5614 BOUND_VARIABLE_369937) BOUND_VARIABLE_369936)) BOUND_VARIABLE_305032))) (ho_5218 (ho_7570 (ho_7590 (ho_7602 k_7601 BOUND_VARIABLE_369937) BOUND_VARIABLE_369936) BOUND_VARIABLE_305032) BOUND_VARIABLE_305033))))) (let ((_let_12536 (forall ((BOUND_VARIABLE_369962 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_305006 tptp.int) (BOUND_VARIABLE_305007 tptp.nat) (BOUND_VARIABLE_305008 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_369962 BOUND_VARIABLE_305006)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_305008)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_305007) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7603 BOUND_VARIABLE_369962) BOUND_VARIABLE_305006) BOUND_VARIABLE_305007) BOUND_VARIABLE_305008)))))) (let ((_let_12537 (forall ((BOUND_VARIABLE_369985 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304979 tptp.set_int) (BOUND_VARIABLE_304980 tptp.nat) (BOUND_VARIABLE_304981 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_369985) BOUND_VARIABLE_304979))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304981)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304980) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7604 BOUND_VARIABLE_369985) BOUND_VARIABLE_304979) BOUND_VARIABLE_304980) BOUND_VARIABLE_304981)))))) (let ((_let_12538 (forall ((BOUND_VARIABLE_370010 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304954 tptp.int) (BOUND_VARIABLE_304955 tptp.nat) (BOUND_VARIABLE_304956 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_370010 BOUND_VARIABLE_304954)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304956)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304955) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7605 BOUND_VARIABLE_370010) BOUND_VARIABLE_304954) BOUND_VARIABLE_304955) BOUND_VARIABLE_304956)))))) (let ((_let_12539 (forall ((BOUND_VARIABLE_370033 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304927 tptp.set_int) (BOUND_VARIABLE_304928 tptp.nat) (BOUND_VARIABLE_304929 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_370033) BOUND_VARIABLE_304927))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304929)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304928) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7606 BOUND_VARIABLE_370033) BOUND_VARIABLE_304927) BOUND_VARIABLE_304928) BOUND_VARIABLE_304929)))))) (let ((_let_12540 (forall ((BOUND_VARIABLE_370058 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_304902 tptp.nat) (BOUND_VARIABLE_304903 tptp.nat) (BOUND_VARIABLE_304904 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_370058 BOUND_VARIABLE_304902)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304904)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304903) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_7607 BOUND_VARIABLE_370058) BOUND_VARIABLE_304902) BOUND_VARIABLE_304903) BOUND_VARIABLE_304904)))))) (let ((_let_12541 (forall ((BOUND_VARIABLE_370081 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_304875 tptp.set_nat) (BOUND_VARIABLE_304876 tptp.nat) (BOUND_VARIABLE_304877 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_370081) BOUND_VARIABLE_304875))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304877)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304876) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7608 BOUND_VARIABLE_370081) BOUND_VARIABLE_304875) BOUND_VARIABLE_304876) BOUND_VARIABLE_304877)))))) (let ((_let_12542 (forall ((BOUND_VARIABLE_370106 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_304850 Bool) (BOUND_VARIABLE_304851 tptp.nat) (BOUND_VARIABLE_304852 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_370106 BOUND_VARIABLE_304850)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304852)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304851) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_7609 BOUND_VARIABLE_370106) BOUND_VARIABLE_304850) BOUND_VARIABLE_304851) BOUND_VARIABLE_304852)))))) (let ((_let_12543 (forall ((BOUND_VARIABLE_370129 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_304823 tptp.set_o) (BOUND_VARIABLE_304824 tptp.nat) (BOUND_VARIABLE_304825 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_370129) BOUND_VARIABLE_304823))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304825)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304824) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_7610 BOUND_VARIABLE_370129) BOUND_VARIABLE_304823) BOUND_VARIABLE_304824) BOUND_VARIABLE_304825)))))) (let ((_let_12544 (forall ((BOUND_VARIABLE_370154 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_304798 tptp.product_unit) (BOUND_VARIABLE_304799 tptp.nat) (BOUND_VARIABLE_304800 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6102 BOUND_VARIABLE_370154 BOUND_VARIABLE_304798)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304800)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304799) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7537 (ho_7536 k_7611 BOUND_VARIABLE_370154) BOUND_VARIABLE_304798) BOUND_VARIABLE_304799) BOUND_VARIABLE_304800)))))) (let ((_let_12545 (forall ((BOUND_VARIABLE_370177 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_304771 tptp.set_Product_unit) (BOUND_VARIABLE_304772 tptp.nat) (BOUND_VARIABLE_304773 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_370177) BOUND_VARIABLE_304771))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304773)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304772) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6894 (ho_6893 k_7612 BOUND_VARIABLE_370177) BOUND_VARIABLE_304771) BOUND_VARIABLE_304772) BOUND_VARIABLE_304773)))))) (let ((_let_12546 (forall ((BOUND_VARIABLE_370202 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304746 tptp.int) (BOUND_VARIABLE_304747 tptp.nat) (BOUND_VARIABLE_304748 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_370202 BOUND_VARIABLE_304746)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304748)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304747) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7613 BOUND_VARIABLE_370202) BOUND_VARIABLE_304746) BOUND_VARIABLE_304747) BOUND_VARIABLE_304748)))))) (let ((_let_12547 (forall ((BOUND_VARIABLE_370225 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304719 tptp.set_int) (BOUND_VARIABLE_304720 tptp.nat) (BOUND_VARIABLE_304721 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_370225) BOUND_VARIABLE_304719))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304721)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304720) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7614 BOUND_VARIABLE_370225) BOUND_VARIABLE_304719) BOUND_VARIABLE_304720) BOUND_VARIABLE_304721)))))) (let ((_let_12548 (forall ((BOUND_VARIABLE_370250 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304694 tptp.int) (BOUND_VARIABLE_304695 tptp.nat) (BOUND_VARIABLE_304696 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_370250 BOUND_VARIABLE_304694)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304696)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304695) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7615 BOUND_VARIABLE_370250) BOUND_VARIABLE_304694) BOUND_VARIABLE_304695) BOUND_VARIABLE_304696)))))) (let ((_let_12549 (forall ((BOUND_VARIABLE_370273 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_304659 tptp.set_int) (BOUND_VARIABLE_304660 tptp.nat) (BOUND_VARIABLE_304661 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_370273) BOUND_VARIABLE_304659))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_304661)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304660) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7616 BOUND_VARIABLE_370273) BOUND_VARIABLE_304659) BOUND_VARIABLE_304660) BOUND_VARIABLE_304661))))))) (let ((_let_12550 (forall ((BOUND_VARIABLE_370300 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_304634 tptp.nat) (BOUND_VARIABLE_304635 tptp.nat) (BOUND_VARIABLE_304636 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_370300 BOUND_VARIABLE_304634)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304636)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304635) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_7617 BOUND_VARIABLE_370300) BOUND_VARIABLE_304634) BOUND_VARIABLE_304635) BOUND_VARIABLE_304636)))))) (let ((_let_12551 (forall ((BOUND_VARIABLE_370323 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_304599 tptp.set_nat) (BOUND_VARIABLE_304600 tptp.nat) (BOUND_VARIABLE_304601 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_370323) BOUND_VARIABLE_304599))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_304601)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304600) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7618 BOUND_VARIABLE_370323) BOUND_VARIABLE_304599) BOUND_VARIABLE_304600) BOUND_VARIABLE_304601))))))) (let ((_let_12552 (forall ((BOUND_VARIABLE_304575 tptp.int) (BOUND_VARIABLE_304576 tptp.nat) (BOUND_VARIABLE_304577 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_304575))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304577)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304576) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7619 BOUND_VARIABLE_304575) BOUND_VARIABLE_304576) BOUND_VARIABLE_304577)))))) (let ((_let_12553 (forall ((BOUND_VARIABLE_304552 tptp.int) (BOUND_VARIABLE_304553 tptp.nat) (BOUND_VARIABLE_304554 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_304552))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304554)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304553) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7620 BOUND_VARIABLE_304552) BOUND_VARIABLE_304553) BOUND_VARIABLE_304554)))))) (let ((_let_12554 (forall ((BOUND_VARIABLE_304529 tptp.int) (BOUND_VARIABLE_304530 tptp.nat) (BOUND_VARIABLE_304531 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_304529))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304531)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304530) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7621 BOUND_VARIABLE_304529) BOUND_VARIABLE_304530) BOUND_VARIABLE_304531)))))) (let ((_let_12555 (forall ((BOUND_VARIABLE_304506 tptp.int) (BOUND_VARIABLE_304507 tptp.nat) (BOUND_VARIABLE_304508 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_304506))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_304508)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_304507) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7622 BOUND_VARIABLE_304506) BOUND_VARIABLE_304507) BOUND_VARIABLE_304508)))))) (let ((_let_12556 (forall ((BOUND_VARIABLE_370423 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_304488 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304488)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_370423) (ho_4845 k_4844 k_5617)))) (ho_4593 (ho_4992 k_7623 BOUND_VARIABLE_370423) BOUND_VARIABLE_304488))))) (let ((_let_12557 (forall ((BOUND_VARIABLE_370441 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_304475 tptp.set_nat) (BOUND_VARIABLE_304476 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7624 BOUND_VARIABLE_370441) BOUND_VARIABLE_304475) BOUND_VARIABLE_304476) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304476)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_370441) BOUND_VARIABLE_304475))))))) (let ((_let_12558 (forall ((BOUND_VARIABLE_304440 tptp.set_nat) (BOUND_VARIABLE_370455 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_304442 tptp.set_nat) (BOUND_VARIABLE_304443 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304443)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_5620 k_5619 BOUND_VARIABLE_304440) BOUND_VARIABLE_370455)) BOUND_VARIABLE_304442))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_7625 BOUND_VARIABLE_304440) BOUND_VARIABLE_370455) BOUND_VARIABLE_304442) BOUND_VARIABLE_304443))))) (let ((_let_12559 (forall ((BOUND_VARIABLE_370482 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_304429 tptp.nat)) (= (ho_4593 (ho_4997 k_7627 BOUND_VARIABLE_370482) BOUND_VARIABLE_304429) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304429)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_370482) tptp.bot_bot_set_o))))))) (let ((_let_12560 (forall ((BOUND_VARIABLE_370498 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_304416 tptp.set_o) (BOUND_VARIABLE_304417 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7628 BOUND_VARIABLE_370498) BOUND_VARIABLE_304416) BOUND_VARIABLE_304417) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304417)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_370498) BOUND_VARIABLE_304416))))))) (let ((_let_12561 (forall ((BOUND_VARIABLE_304381 tptp.set_nat) (BOUND_VARIABLE_370512 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_304383 tptp.set_o) (BOUND_VARIABLE_304384 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304384)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_5622 BOUND_VARIABLE_304381) BOUND_VARIABLE_370512)) BOUND_VARIABLE_304383))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_7629 BOUND_VARIABLE_304381) BOUND_VARIABLE_370512) BOUND_VARIABLE_304383) BOUND_VARIABLE_304384))))) (let ((_let_12562 (forall ((BOUND_VARIABLE_370537 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_304365 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304365)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_370537) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4593 (ho_4983 k_7631 BOUND_VARIABLE_370537) BOUND_VARIABLE_304365))))) (let ((_let_12563 (forall ((BOUND_VARIABLE_370555 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_304352 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304353 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_7632 BOUND_VARIABLE_370555) BOUND_VARIABLE_304352) BOUND_VARIABLE_304353) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304353)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_370555) BOUND_VARIABLE_304352))))))) (let ((_let_12564 (forall ((BOUND_VARIABLE_304317 tptp.set_nat) (BOUND_VARIABLE_370569 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_304319 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304320 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304320)) (ho_4981 (ho_4980 k_4979 (ho_5627 (ho_5626 k_5625 BOUND_VARIABLE_304317) BOUND_VARIABLE_370569)) BOUND_VARIABLE_304319))) (ho_4593 (ho_4986 (ho_4985 (ho_7634 k_7633 BOUND_VARIABLE_304317) BOUND_VARIABLE_370569) BOUND_VARIABLE_304319) BOUND_VARIABLE_304320))))) (let ((_let_12565 (forall ((BOUND_VARIABLE_370594 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_304301 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304301)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_370594) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))))) (ho_4593 (ho_7636 k_7635 BOUND_VARIABLE_370594) BOUND_VARIABLE_304301))))) (let ((_let_12566 (forall ((BOUND_VARIABLE_370616 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_304288 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_304289 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_7637 BOUND_VARIABLE_370616) BOUND_VARIABLE_304288) BOUND_VARIABLE_304289) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304289)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_370616) BOUND_VARIABLE_304288))))))) (let ((_let_12567 (forall ((BOUND_VARIABLE_304253 tptp.set_nat) (BOUND_VARIABLE_370630 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_304255 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_304256 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304256)) (ho_5110 (ho_5109 k_5108 (ho_5630 (ho_5629 k_5628 BOUND_VARIABLE_304253) BOUND_VARIABLE_370630)) BOUND_VARIABLE_304255))) (ho_4593 (ho_5107 (ho_5106 (ho_7639 k_7638 BOUND_VARIABLE_304253) BOUND_VARIABLE_370630) BOUND_VARIABLE_304255) BOUND_VARIABLE_304256))))) (let ((_let_12568 (forall ((BOUND_VARIABLE_370657 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_304242 tptp.nat)) (= (ho_4593 (ho_5006 k_7640 BOUND_VARIABLE_370657) BOUND_VARIABLE_304242) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304242)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_370657) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_12569 (forall ((BOUND_VARIABLE_370673 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_304229 tptp.set_Product_unit) (BOUND_VARIABLE_304230 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_7641 BOUND_VARIABLE_370673) BOUND_VARIABLE_304229) BOUND_VARIABLE_304230) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304230)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_370673) BOUND_VARIABLE_304229))))))) (let ((_let_12570 (forall ((BOUND_VARIABLE_304194 tptp.set_nat) (BOUND_VARIABLE_370687 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_304196 tptp.set_Product_unit) (BOUND_VARIABLE_304197 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_304197)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_5631 BOUND_VARIABLE_304194) BOUND_VARIABLE_370687)) BOUND_VARIABLE_304196))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_7642 BOUND_VARIABLE_304194) BOUND_VARIABLE_370687) BOUND_VARIABLE_304196) BOUND_VARIABLE_304197))))) (let ((_let_12571 (forall ((BOUND_VARIABLE_370712 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304178 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304178)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_370712) (ho_4845 k_4844 k_4852)))) (ho_4575 (ho_7645 k_7644 BOUND_VARIABLE_370712) BOUND_VARIABLE_304178))))) (let ((_let_12572 (forall ((BOUND_VARIABLE_370734 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304165 tptp.set_nat) (BOUND_VARIABLE_304166 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_7646 BOUND_VARIABLE_370734) BOUND_VARIABLE_304165) BOUND_VARIABLE_304166) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304166)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_370734) BOUND_VARIABLE_304165))))))) (let ((_let_12573 (forall ((BOUND_VARIABLE_304130 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_370748 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304132 tptp.set_nat) (BOUND_VARIABLE_304133 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304133)) (ho_4565 (ho_4564 k_4563 (ho_5636 (ho_5635 k_5634 BOUND_VARIABLE_304130) BOUND_VARIABLE_370748)) BOUND_VARIABLE_304132))) (ho_4575 (ho_4758 (ho_6857 (ho_7648 k_7647 BOUND_VARIABLE_304130) BOUND_VARIABLE_370748) BOUND_VARIABLE_304132) BOUND_VARIABLE_304133))))) (let ((_let_12574 (forall ((BOUND_VARIABLE_370775 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304119 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7650 k_7649 BOUND_VARIABLE_370775) BOUND_VARIABLE_304119) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304119)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_370775) tptp.bot_bot_set_o))))))) (let ((_let_12575 (forall ((BOUND_VARIABLE_370795 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304106 tptp.set_o) (BOUND_VARIABLE_304107 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_7651 BOUND_VARIABLE_370795) BOUND_VARIABLE_304106) BOUND_VARIABLE_304107) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304107)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_370795) BOUND_VARIABLE_304106))))))) (let ((_let_12576 (forall ((BOUND_VARIABLE_304071 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_370809 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304073 tptp.set_o) (BOUND_VARIABLE_304074 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304074)) (ho_6874 (ho_6873 k_6872 (ho_5642 (ho_5641 k_5640 BOUND_VARIABLE_304071) BOUND_VARIABLE_370809)) BOUND_VARIABLE_304073))) (ho_4575 (ho_6871 (ho_6870 (ho_7653 k_7652 BOUND_VARIABLE_304071) BOUND_VARIABLE_370809) BOUND_VARIABLE_304073) BOUND_VARIABLE_304074))))) (let ((_let_12577 (forall ((BOUND_VARIABLE_370834 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304055 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304055)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_370834) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4575 (ho_7655 k_7654 BOUND_VARIABLE_370834) BOUND_VARIABLE_304055))))) (let ((_let_12578 (forall ((BOUND_VARIABLE_370856 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304042 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304043 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_6859 k_7656 BOUND_VARIABLE_370856) BOUND_VARIABLE_304042) BOUND_VARIABLE_304043) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304043)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_370856) BOUND_VARIABLE_304042))))))) (let ((_let_12579 (forall ((BOUND_VARIABLE_304006 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_370870 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_304008 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304009 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_304009)) (ho_4546 (ho_6861 k_6860 (ho_5646 (ho_5645 k_5644 BOUND_VARIABLE_304006) BOUND_VARIABLE_370870)) BOUND_VARIABLE_304008))) (ho_4575 (ho_5239 (ho_6859 (ho_7658 k_7657 BOUND_VARIABLE_304006) BOUND_VARIABLE_370870) BOUND_VARIABLE_304008) BOUND_VARIABLE_304009))))) (let ((_let_12580 (forall ((BOUND_VARIABLE_370895 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303990 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303990)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_370895) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))))) (ho_4575 (ho_7660 k_7659 BOUND_VARIABLE_370895) BOUND_VARIABLE_303990))))) (let ((_let_12581 (forall ((BOUND_VARIABLE_370917 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303977 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303978 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_7661 BOUND_VARIABLE_370917) BOUND_VARIABLE_303977) BOUND_VARIABLE_303978) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303978)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_370917) BOUND_VARIABLE_303977))))))) (let ((_let_12582 (forall ((BOUND_VARIABLE_303941 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_370931 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303943 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303944 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303944)) (ho_6880 (ho_6879 k_6878 (ho_5650 (ho_5649 k_5648 BOUND_VARIABLE_303941) BOUND_VARIABLE_370931)) BOUND_VARIABLE_303943))) (ho_4575 (ho_6877 (ho_6876 (ho_7663 k_7662 BOUND_VARIABLE_303941) BOUND_VARIABLE_370931) BOUND_VARIABLE_303943) BOUND_VARIABLE_303944))))) (let ((_let_12583 (forall ((BOUND_VARIABLE_370958 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303930 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7665 k_7664 BOUND_VARIABLE_370958) BOUND_VARIABLE_303930) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303930)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_370958) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_12584 (forall ((BOUND_VARIABLE_370986 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303917 tptp.set_Product_unit) (BOUND_VARIABLE_303918 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_7669 BOUND_VARIABLE_370986) BOUND_VARIABLE_303917) BOUND_VARIABLE_303918) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303918)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_370986) BOUND_VARIABLE_303917))))))) (let ((_let_12585 (forall ((BOUND_VARIABLE_303882 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_371007 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303884 tptp.set_Product_unit) (BOUND_VARIABLE_303885 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303885)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_5653 k_5652 BOUND_VARIABLE_303882) BOUND_VARIABLE_371007)) BOUND_VARIABLE_303884))) (ho_4575 (ho_7671 (ho_7670 (ho_7673 k_7672 BOUND_VARIABLE_303882) BOUND_VARIABLE_371007) BOUND_VARIABLE_303884) BOUND_VARIABLE_303885))))) (let ((_let_12586 (forall ((BOUND_VARIABLE_371033 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_303864 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303864)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_371033) (ho_4845 k_4844 k_5655)))) (ho_4593 (ho_4992 k_7674 BOUND_VARIABLE_371033) BOUND_VARIABLE_303864))))) (let ((_let_12587 (forall ((BOUND_VARIABLE_371051 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_303851 tptp.set_nat) (BOUND_VARIABLE_303852 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7675 BOUND_VARIABLE_371051) BOUND_VARIABLE_303851) BOUND_VARIABLE_303852) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303852)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_371051) BOUND_VARIABLE_303851))))))) (let ((_let_12588 (forall ((BOUND_VARIABLE_371065 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_303817 tptp.set_nat) (BOUND_VARIABLE_303818 tptp.set_nat) (BOUND_VARIABLE_303819 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303819)) (ho_4765 (ho_4764 k_4763 (ho_5658 (ho_5657 k_5656 BOUND_VARIABLE_371065) BOUND_VARIABLE_303817)) BOUND_VARIABLE_303818))) (ho_4593 (ho_4762 (ho_5070 (ho_7677 k_7676 BOUND_VARIABLE_371065) BOUND_VARIABLE_303817) BOUND_VARIABLE_303818) BOUND_VARIABLE_303819))))) (let ((_let_12589 (forall ((BOUND_VARIABLE_371092 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_303805 tptp.nat)) (= (ho_4593 (ho_4997 k_7678 BOUND_VARIABLE_371092) BOUND_VARIABLE_303805) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303805)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_371092) tptp.bot_bot_set_o))))))) (let ((_let_12590 (forall ((BOUND_VARIABLE_371108 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_303792 tptp.set_o) (BOUND_VARIABLE_303793 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7679 BOUND_VARIABLE_371108) BOUND_VARIABLE_303792) BOUND_VARIABLE_303793) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303793)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_371108) BOUND_VARIABLE_303792))))))) (let ((_let_12591 (forall ((BOUND_VARIABLE_371122 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_303758 tptp.set_nat) (BOUND_VARIABLE_303759 tptp.set_o) (BOUND_VARIABLE_303760 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303760)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5660 k_5659 BOUND_VARIABLE_371122) BOUND_VARIABLE_303758)) BOUND_VARIABLE_303759))) (ho_4593 (ho_5000 (ho_7682 (ho_7681 k_7680 BOUND_VARIABLE_371122) BOUND_VARIABLE_303758) BOUND_VARIABLE_303759) BOUND_VARIABLE_303760))))) (let ((_let_12592 (forall ((BOUND_VARIABLE_371150 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_303741 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303741)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_371150) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4593 (ho_4983 k_7683 BOUND_VARIABLE_371150) BOUND_VARIABLE_303741))))) (let ((_let_12593 (forall ((BOUND_VARIABLE_371168 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_303728 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303729 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_7684 BOUND_VARIABLE_371168) BOUND_VARIABLE_303728) BOUND_VARIABLE_303729) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303729)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_371168) BOUND_VARIABLE_303728))))))) (let ((_let_12594 (forall ((BOUND_VARIABLE_371182 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_303694 tptp.set_nat) (BOUND_VARIABLE_303695 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303696 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303696)) (ho_4981 (ho_4980 k_4979 (ho_5663 (ho_5662 k_5661 BOUND_VARIABLE_371182) BOUND_VARIABLE_303694)) BOUND_VARIABLE_303695))) (ho_4593 (ho_4986 (ho_7687 (ho_7686 k_7685 BOUND_VARIABLE_371182) BOUND_VARIABLE_303694) BOUND_VARIABLE_303695) BOUND_VARIABLE_303696))))) (let ((_let_12595 (forall ((BOUND_VARIABLE_371210 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_303677 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303677)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_371210) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))))) (ho_4593 (ho_7636 k_7688 BOUND_VARIABLE_371210) BOUND_VARIABLE_303677))))) (let ((_let_12596 (forall ((BOUND_VARIABLE_371228 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_303664 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303665 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_7689 BOUND_VARIABLE_371228) BOUND_VARIABLE_303664) BOUND_VARIABLE_303665) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303665)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_371228) BOUND_VARIABLE_303664))))))) (let ((_let_12597 (forall ((BOUND_VARIABLE_371242 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_303629 tptp.set_nat) (BOUND_VARIABLE_303630 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303631 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303631)) (ho_5110 (ho_5109 k_5108 (ho_5666 (ho_5665 k_5664 BOUND_VARIABLE_371242) BOUND_VARIABLE_303629)) BOUND_VARIABLE_303630))) (ho_4593 (ho_5107 (ho_7692 (ho_7691 k_7690 BOUND_VARIABLE_371242) BOUND_VARIABLE_303629) BOUND_VARIABLE_303630) BOUND_VARIABLE_303631))))) (let ((_let_12598 (forall ((BOUND_VARIABLE_371272 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_303617 tptp.nat)) (= (ho_4593 (ho_5006 k_7693 BOUND_VARIABLE_371272) BOUND_VARIABLE_303617) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303617)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_371272) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_12599 (forall ((BOUND_VARIABLE_371288 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_303604 tptp.set_Product_unit) (BOUND_VARIABLE_303605 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_7694 BOUND_VARIABLE_371288) BOUND_VARIABLE_303604) BOUND_VARIABLE_303605) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303605)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_371288) BOUND_VARIABLE_303604))))))) (let ((_let_12600 (forall ((BOUND_VARIABLE_371302 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_303570 tptp.set_nat) (BOUND_VARIABLE_303571 tptp.set_Product_unit) (BOUND_VARIABLE_303572 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_303572)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_5667 BOUND_VARIABLE_371302) BOUND_VARIABLE_303570)) BOUND_VARIABLE_303571))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_7695 BOUND_VARIABLE_371302) BOUND_VARIABLE_303570) BOUND_VARIABLE_303571) BOUND_VARIABLE_303572))))) (let ((_let_12601 (forall ((BOUND_VARIABLE_371327 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303553 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303553)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_371327) (ho_4845 k_4844 k_4852)))) (ho_4575 (ho_7645 k_7697 BOUND_VARIABLE_371327) BOUND_VARIABLE_303553))))) (let ((_let_12602 (forall ((BOUND_VARIABLE_371345 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303540 tptp.set_nat) (BOUND_VARIABLE_303541 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_7698 BOUND_VARIABLE_371345) BOUND_VARIABLE_303540) BOUND_VARIABLE_303541) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303541)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_371345) BOUND_VARIABLE_303540))))))) (let ((_let_12603 (forall ((BOUND_VARIABLE_371359 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303506 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303507 tptp.set_nat) (BOUND_VARIABLE_303508 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303508)) (ho_4565 (ho_4564 k_4563 (ho_5672 (ho_5671 k_5670 BOUND_VARIABLE_371359) BOUND_VARIABLE_303506)) BOUND_VARIABLE_303507))) (ho_4575 (ho_4758 (ho_7701 (ho_7700 k_7699 BOUND_VARIABLE_371359) BOUND_VARIABLE_303506) BOUND_VARIABLE_303507) BOUND_VARIABLE_303508))))) (let ((_let_12604 (forall ((BOUND_VARIABLE_371389 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303494 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7650 k_7702 BOUND_VARIABLE_371389) BOUND_VARIABLE_303494) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303494)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_371389) tptp.bot_bot_set_o))))))) (let ((_let_12605 (forall ((BOUND_VARIABLE_371405 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303481 tptp.set_o) (BOUND_VARIABLE_303482 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_7703 BOUND_VARIABLE_371405) BOUND_VARIABLE_303481) BOUND_VARIABLE_303482) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303482)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_371405) BOUND_VARIABLE_303481))))))) (let ((_let_12606 (forall ((BOUND_VARIABLE_371419 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303447 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303448 tptp.set_o) (BOUND_VARIABLE_303449 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303449)) (ho_6874 (ho_6873 k_6872 (ho_5675 (ho_5674 k_5673 BOUND_VARIABLE_371419) BOUND_VARIABLE_303447)) BOUND_VARIABLE_303448))) (ho_4575 (ho_6871 (ho_7706 (ho_7705 k_7704 BOUND_VARIABLE_371419) BOUND_VARIABLE_303447) BOUND_VARIABLE_303448) BOUND_VARIABLE_303449))))) (let ((_let_12607 (forall ((BOUND_VARIABLE_371447 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303430 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303430)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_371447) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4575 (ho_7655 k_7707 BOUND_VARIABLE_371447) BOUND_VARIABLE_303430))))) (let ((_let_12608 (forall ((BOUND_VARIABLE_371465 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303417 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303418 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_6859 k_7708 BOUND_VARIABLE_371465) BOUND_VARIABLE_303417) BOUND_VARIABLE_303418) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303418)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_371465) BOUND_VARIABLE_303417))))))) (let ((_let_12609 (forall ((BOUND_VARIABLE_371479 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303382 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303383 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303384 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303384)) (ho_4546 (ho_6861 k_6860 (ho_5678 (ho_5677 k_5676 BOUND_VARIABLE_371479) BOUND_VARIABLE_303382)) BOUND_VARIABLE_303383))) (ho_4575 (ho_5239 (ho_7711 (ho_7710 k_7709 BOUND_VARIABLE_371479) BOUND_VARIABLE_303382) BOUND_VARIABLE_303383) BOUND_VARIABLE_303384))))) (let ((_let_12610 (forall ((BOUND_VARIABLE_371507 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303365 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303365)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_371507) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))))) (ho_4575 (ho_7660 k_7712 BOUND_VARIABLE_371507) BOUND_VARIABLE_303365))))) (let ((_let_12611 (forall ((BOUND_VARIABLE_371525 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303352 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303353 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_7713 BOUND_VARIABLE_371525) BOUND_VARIABLE_303352) BOUND_VARIABLE_303353) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303353)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_371525) BOUND_VARIABLE_303352))))))) (let ((_let_12612 (forall ((BOUND_VARIABLE_371539 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303317 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303318 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303319 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303319)) (ho_6880 (ho_6879 k_6878 (ho_5681 (ho_5680 k_5679 BOUND_VARIABLE_371539) BOUND_VARIABLE_303317)) BOUND_VARIABLE_303318))) (ho_4575 (ho_6877 (ho_7716 (ho_7715 k_7714 BOUND_VARIABLE_371539) BOUND_VARIABLE_303317) BOUND_VARIABLE_303318) BOUND_VARIABLE_303319))))) (let ((_let_12613 (forall ((BOUND_VARIABLE_371569 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303305 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7665 k_7717 BOUND_VARIABLE_371569) BOUND_VARIABLE_303305) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303305)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_371569) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_12614 (forall ((BOUND_VARIABLE_371585 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303292 tptp.set_Product_unit) (BOUND_VARIABLE_303293 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_7718 BOUND_VARIABLE_371585) BOUND_VARIABLE_303292) BOUND_VARIABLE_303293) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303293)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_371585) BOUND_VARIABLE_303292))))))) (let ((_let_12615 (forall ((BOUND_VARIABLE_371599 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_303258 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303259 tptp.set_Product_unit) (BOUND_VARIABLE_303260 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_303260)) (ho_7668 (ho_7667 k_7666 (ho_5684 (ho_5683 k_5682 BOUND_VARIABLE_371599) BOUND_VARIABLE_303258)) BOUND_VARIABLE_303259))) (ho_4575 (ho_7671 (ho_7721 (ho_7720 k_7719 BOUND_VARIABLE_371599) BOUND_VARIABLE_303258) BOUND_VARIABLE_303259) BOUND_VARIABLE_303260))))) (let ((_let_12616 (forall ((BOUND_VARIABLE_303214 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_371627 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_303216 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_303216)) (ho_4959 (ho_4958 k_4957 (ho_5687 (ho_5686 k_5685 BOUND_VARIABLE_303214) BOUND_VARIABLE_371627)) tptp.top_top_set_o))) (ho_4544 (ho_4956 (ho_7723 k_7722 BOUND_VARIABLE_303214) BOUND_VARIABLE_371627) BOUND_VARIABLE_303216))))) (let ((_let_12617 (forall ((BOUND_VARIABLE_303167 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_371650 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_303169 tptp.set_o) (BOUND_VARIABLE_303170 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_303170)) (ho_4959 (ho_4958 k_4957 (ho_5691 (ho_5690 (ho_5689 k_5688 BOUND_VARIABLE_303167) BOUND_VARIABLE_371650) BOUND_VARIABLE_303169)) tptp.top_top_set_o))) (ho_4544 (ho_4962 (ho_4961 (ho_7725 k_7724 BOUND_VARIABLE_303167) BOUND_VARIABLE_371650) BOUND_VARIABLE_303169) BOUND_VARIABLE_303170))))) (let ((_let_12618 (forall ((BOUND_VARIABLE_303119 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_371676 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_303121 tptp.set_o) (BOUND_VARIABLE_303122 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_303122)) (ho_4959 (ho_4958 k_4957 (ho_5687 (ho_5686 k_5692 BOUND_VARIABLE_303119) BOUND_VARIABLE_371676)) BOUND_VARIABLE_303121))) (ho_4544 (ho_4962 (ho_4961 (ho_7725 k_7726 BOUND_VARIABLE_303119) BOUND_VARIABLE_371676) BOUND_VARIABLE_303121) BOUND_VARIABLE_303122))))) (let ((_let_12619 (forall ((BOUND_VARIABLE_303101 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371697 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_303103 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_303103) BOUND_VARIABLE_303101) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_371697) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_5499 (ho_7732 (ho_7731 k_7730 BOUND_VARIABLE_303101) BOUND_VARIABLE_371697) BOUND_VARIABLE_303103))))) (let ((_let_12620 (forall ((BOUND_VARIABLE_303087 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371734 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_303089 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303090 Bool)) (= (ho_5499 (ho_7736 (ho_7735 (ho_7734 k_7733 BOUND_VARIABLE_303087) BOUND_VARIABLE_371734) BOUND_VARIABLE_303089) BOUND_VARIABLE_303090) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_303090) BOUND_VARIABLE_303087) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_371734) BOUND_VARIABLE_303089))))))) (let ((_let_12621 (forall ((BOUND_VARIABLE_303055 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371760 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_303057 tptp.product_prod_nat_nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5697 (ho_5696 (ho_5695 k_5694 BOUND_VARIABLE_303055) BOUND_VARIABLE_371760) BOUND_VARIABLE_303057)) tptp.top_top_set_o)) (ho_5693 (ho_7739 (ho_7738 k_7737 BOUND_VARIABLE_303055) BOUND_VARIABLE_371760) BOUND_VARIABLE_303057))))) (let ((_let_12622 (forall ((BOUND_VARIABLE_303012 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_371784 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_303014 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_303014)) (ho_4959 (ho_4958 k_4957 (ho_5700 (ho_5699 k_5698 BOUND_VARIABLE_303012) BOUND_VARIABLE_371784)) tptp.top_top_set_o))) (ho_4544 (ho_4968 (ho_7741 k_7740 BOUND_VARIABLE_303012) BOUND_VARIABLE_371784) BOUND_VARIABLE_303014))))) (let ((_let_12623 (forall ((BOUND_VARIABLE_302965 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_371807 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_302967 tptp.set_Product_unit) (BOUND_VARIABLE_302968 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_302968)) (ho_4959 (ho_4958 k_4957 (ho_5704 (ho_5703 (ho_5702 k_5701 BOUND_VARIABLE_302965) BOUND_VARIABLE_371807) BOUND_VARIABLE_302967)) tptp.top_top_set_o))) (ho_4544 (ho_4974 (ho_4973 (ho_7743 k_7742 BOUND_VARIABLE_302965) BOUND_VARIABLE_371807) BOUND_VARIABLE_302967) BOUND_VARIABLE_302968))))) (let ((_let_12624 (forall ((BOUND_VARIABLE_302916 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_371833 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_302918 tptp.set_Product_unit) (BOUND_VARIABLE_302919 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_302919)) (ho_4971 (ho_4970 k_4969 (ho_5707 (ho_5706 k_5705 BOUND_VARIABLE_302916) BOUND_VARIABLE_371833)) BOUND_VARIABLE_302918))) (ho_4544 (ho_4974 (ho_4973 (ho_7743 k_7744 BOUND_VARIABLE_302916) BOUND_VARIABLE_371833) BOUND_VARIABLE_302918) BOUND_VARIABLE_302919))))) (let ((_let_12625 (forall ((BOUND_VARIABLE_302898 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371854 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302900 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302900) BOUND_VARIABLE_302898) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_371854) (ho_4845 k_4844 k_4852)))) (ho_5499 (ho_7750 (ho_7749 k_7748 BOUND_VARIABLE_302898) BOUND_VARIABLE_371854) BOUND_VARIABLE_302900))))) (let ((_let_12626 (forall ((BOUND_VARIABLE_302884 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371891 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302886 tptp.set_nat) (BOUND_VARIABLE_302887 Bool)) (= (ho_5499 (ho_7754 (ho_7753 (ho_7752 k_7751 BOUND_VARIABLE_302884) BOUND_VARIABLE_371891) BOUND_VARIABLE_302886) BOUND_VARIABLE_302887) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302887) BOUND_VARIABLE_302884) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_371891) BOUND_VARIABLE_302886))))))) (let ((_let_12627 (forall ((BOUND_VARIABLE_302852 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371917 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302854 tptp.nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5712 (ho_5711 (ho_5710 k_5709 BOUND_VARIABLE_302852) BOUND_VARIABLE_371917) BOUND_VARIABLE_302854)) tptp.top_top_set_o)) (ho_5708 (ho_7757 (ho_7756 k_7755 BOUND_VARIABLE_302852) BOUND_VARIABLE_371917) BOUND_VARIABLE_302854))))) (let ((_let_12628 (forall ((BOUND_VARIABLE_302839 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371944 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302841 Bool)) (= (ho_5499 (ho_7760 (ho_7759 k_7758 BOUND_VARIABLE_302839) BOUND_VARIABLE_371944) BOUND_VARIABLE_302841) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302841) BOUND_VARIABLE_302839) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_371944) tptp.bot_bot_set_o))))))) (let ((_let_12629 (forall ((BOUND_VARIABLE_302825 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371969 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302827 tptp.set_o) (BOUND_VARIABLE_302828 Bool)) (= (ho_5499 (ho_7764 (ho_7763 (ho_7762 k_7761 BOUND_VARIABLE_302825) BOUND_VARIABLE_371969) BOUND_VARIABLE_302827) BOUND_VARIABLE_302828) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302828) BOUND_VARIABLE_302825) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_371969) BOUND_VARIABLE_302827))))))) (let ((_let_12630 (forall ((BOUND_VARIABLE_302793 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_371995 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302795 Bool)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5716 (ho_5715 (ho_5714 k_5713 BOUND_VARIABLE_302793) BOUND_VARIABLE_371995) BOUND_VARIABLE_302795)) tptp.top_top_set_o)) (ho_5499 (ho_7760 (ho_7759 k_7765 BOUND_VARIABLE_302793) BOUND_VARIABLE_371995) BOUND_VARIABLE_302795))))) (let ((_let_12631 (forall ((BOUND_VARIABLE_302780 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_372015 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302782 Bool)) (= (ho_5499 (ho_7768 (ho_7767 k_7766 BOUND_VARIABLE_302780) BOUND_VARIABLE_372015) BOUND_VARIABLE_302782) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302782) BOUND_VARIABLE_302780) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_372015) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_12632 (forall ((BOUND_VARIABLE_302766 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_372049 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302768 tptp.set_Product_unit) (BOUND_VARIABLE_302769 Bool)) (= (ho_5499 (ho_7775 (ho_7774 (ho_7773 k_7772 BOUND_VARIABLE_302766) BOUND_VARIABLE_372049) BOUND_VARIABLE_302768) BOUND_VARIABLE_302769) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302769) BOUND_VARIABLE_302766) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_372049) BOUND_VARIABLE_302768))))))) (let ((_let_12633 (forall ((BOUND_VARIABLE_302734 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_372075 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302736 tptp.product_unit)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5721 (ho_5720 (ho_5719 k_5718 BOUND_VARIABLE_302734) BOUND_VARIABLE_372075) BOUND_VARIABLE_302736)) tptp.top_top_set_o)) (ho_5717 (ho_7778 (ho_7777 k_7776 BOUND_VARIABLE_302734) BOUND_VARIABLE_372075) BOUND_VARIABLE_302736))))) (let ((_let_12634 (forall ((BOUND_VARIABLE_302691 tptp.set_nat) (BOUND_VARIABLE_372099 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_302693 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302693)) (ho_4699 (ho_4698 k_4697 (ho_5724 (ho_5723 k_5722 BOUND_VARIABLE_302691) BOUND_VARIABLE_372099)) tptp.top_top_set_o))) (ho_4593 (ho_4983 (ho_7780 k_7779 BOUND_VARIABLE_302691) BOUND_VARIABLE_372099) BOUND_VARIABLE_302693))))) (let ((_let_12635 (forall ((BOUND_VARIABLE_302644 tptp.set_nat) (BOUND_VARIABLE_372122 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_302646 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_302647 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302647)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5727 (ho_5726 k_5725 BOUND_VARIABLE_302644) BOUND_VARIABLE_372122) BOUND_VARIABLE_302646)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_4985 (ho_7634 k_7781 BOUND_VARIABLE_302644) BOUND_VARIABLE_372122) BOUND_VARIABLE_302646) BOUND_VARIABLE_302647))))) (let ((_let_12636 (forall ((BOUND_VARIABLE_302596 tptp.set_nat) (BOUND_VARIABLE_372144 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_302598 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_302599 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302599)) (ho_4981 (ho_4980 k_4979 (ho_5627 (ho_5626 k_5728 BOUND_VARIABLE_302596) BOUND_VARIABLE_372144)) BOUND_VARIABLE_302598))) (ho_4593 (ho_4986 (ho_4985 (ho_7634 k_7782 BOUND_VARIABLE_302596) BOUND_VARIABLE_372144) BOUND_VARIABLE_302598) BOUND_VARIABLE_302599))))) (let ((_let_12637 (forall ((BOUND_VARIABLE_302553 tptp.set_nat) (BOUND_VARIABLE_372165 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_302555 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302555)) (ho_4699 (ho_4698 k_4697 (ho_5731 (ho_5730 k_5729 BOUND_VARIABLE_302553) BOUND_VARIABLE_372165)) tptp.top_top_set_o))) (ho_4593 (ho_4992 (ho_7784 k_7783 BOUND_VARIABLE_302553) BOUND_VARIABLE_372165) BOUND_VARIABLE_302555))))) (let ((_let_12638 (forall ((BOUND_VARIABLE_302507 tptp.set_nat) (BOUND_VARIABLE_372188 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_302509 tptp.set_nat) (BOUND_VARIABLE_302510 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302510)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5733 k_5732 BOUND_VARIABLE_302507) BOUND_VARIABLE_372188) BOUND_VARIABLE_302509)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_7785 BOUND_VARIABLE_302507) BOUND_VARIABLE_372188) BOUND_VARIABLE_302509) BOUND_VARIABLE_302510))))) (let ((_let_12639 (forall ((BOUND_VARIABLE_302459 tptp.set_nat) (BOUND_VARIABLE_372210 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_302461 tptp.set_nat) (BOUND_VARIABLE_302462 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302462)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_5620 k_5735 BOUND_VARIABLE_302459) BOUND_VARIABLE_372210)) BOUND_VARIABLE_302461))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_7786 BOUND_VARIABLE_302459) BOUND_VARIABLE_372210) BOUND_VARIABLE_302461) BOUND_VARIABLE_302462))))) (let ((_let_12640 (forall ((BOUND_VARIABLE_302416 tptp.set_nat) (BOUND_VARIABLE_372231 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_302418 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302418)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_5736 BOUND_VARIABLE_302416) BOUND_VARIABLE_372231)) tptp.top_top_set_o))) (ho_4593 (ho_4997 (ho_7788 k_7787 BOUND_VARIABLE_302416) BOUND_VARIABLE_372231) BOUND_VARIABLE_302418))))) (let ((_let_12641 (forall ((BOUND_VARIABLE_302370 tptp.set_nat) (BOUND_VARIABLE_372254 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_302372 tptp.set_o) (BOUND_VARIABLE_302373 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302373)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5738 k_5737 BOUND_VARIABLE_302370) BOUND_VARIABLE_372254) BOUND_VARIABLE_302372)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_7789 BOUND_VARIABLE_302370) BOUND_VARIABLE_372254) BOUND_VARIABLE_302372) BOUND_VARIABLE_302373))))) (let ((_let_12642 (forall ((BOUND_VARIABLE_302322 tptp.set_nat) (BOUND_VARIABLE_372276 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_302324 tptp.set_o) (BOUND_VARIABLE_302325 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302325)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_5741 BOUND_VARIABLE_302322) BOUND_VARIABLE_372276)) BOUND_VARIABLE_302324))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_7790 BOUND_VARIABLE_302322) BOUND_VARIABLE_372276) BOUND_VARIABLE_302324) BOUND_VARIABLE_302325))))) (let ((_let_12643 (forall ((BOUND_VARIABLE_302279 tptp.set_nat) (BOUND_VARIABLE_372297 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_302281 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302281)) (ho_4699 (ho_4698 k_4697 (ho_5744 (ho_5743 k_5742 BOUND_VARIABLE_302279) BOUND_VARIABLE_372297)) tptp.top_top_set_o))) (ho_4593 (ho_5006 (ho_7792 k_7791 BOUND_VARIABLE_302279) BOUND_VARIABLE_372297) BOUND_VARIABLE_302281))))) (let ((_let_12644 (forall ((BOUND_VARIABLE_302233 tptp.set_nat) (BOUND_VARIABLE_372320 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_302235 tptp.set_Product_unit) (BOUND_VARIABLE_302236 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302236)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5746 k_5745 BOUND_VARIABLE_302233) BOUND_VARIABLE_372320) BOUND_VARIABLE_302235)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_7793 BOUND_VARIABLE_302233) BOUND_VARIABLE_372320) BOUND_VARIABLE_302235) BOUND_VARIABLE_302236))))) (let ((_let_12645 (forall ((BOUND_VARIABLE_302185 tptp.set_nat) (BOUND_VARIABLE_372342 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_302187 tptp.set_Product_unit) (BOUND_VARIABLE_302188 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_302188)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_5749 BOUND_VARIABLE_302185) BOUND_VARIABLE_372342)) BOUND_VARIABLE_302187))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_7794 BOUND_VARIABLE_302185) BOUND_VARIABLE_372342) BOUND_VARIABLE_302187) BOUND_VARIABLE_302188))))) (let ((_let_12646 (forall ((BOUND_VARIABLE_372363 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_302143 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302144 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_302144)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5751 k_5750 BOUND_VARIABLE_372363) BOUND_VARIABLE_302143)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_7796 k_7795 BOUND_VARIABLE_372363) BOUND_VARIABLE_302143) BOUND_VARIABLE_302144))))) (let ((_let_12647 (forall ((BOUND_VARIABLE_372386 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_302096 tptp.set_o) (BOUND_VARIABLE_302097 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302098 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_302098)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5754 (ho_5753 k_5752 BOUND_VARIABLE_372386) BOUND_VARIABLE_302096) BOUND_VARIABLE_302097)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_7799 (ho_7798 k_7797 BOUND_VARIABLE_372386) BOUND_VARIABLE_302096) BOUND_VARIABLE_302097) BOUND_VARIABLE_302098))))) (let ((_let_12648 (forall ((BOUND_VARIABLE_372415 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_302047 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302048 tptp.set_o) (BOUND_VARIABLE_302049 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_302049)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5751 k_5755 BOUND_VARIABLE_372415) BOUND_VARIABLE_302047)) BOUND_VARIABLE_302048))) (ho_4544 (ho_4962 (ho_7802 (ho_7801 k_7800 BOUND_VARIABLE_372415) BOUND_VARIABLE_302047) BOUND_VARIABLE_302048) BOUND_VARIABLE_302049))))) (let ((_let_12649 (forall ((BOUND_VARIABLE_372443 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302028 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302029 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302029) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_372443) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) BOUND_VARIABLE_302028) (ho_5499 (ho_5552 (ho_7804 k_7803 BOUND_VARIABLE_372443) BOUND_VARIABLE_302028) BOUND_VARIABLE_302029))))) (let ((_let_12650 (forall ((BOUND_VARIABLE_372468 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_302014 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_302015 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302016 Bool)) (= (ho_5499 (ho_5552 (ho_7807 (ho_7806 k_7805 BOUND_VARIABLE_372468) BOUND_VARIABLE_302014) BOUND_VARIABLE_302015) BOUND_VARIABLE_302016) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_302016) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_372468) BOUND_VARIABLE_302014))) BOUND_VARIABLE_302015))))) (let ((_let_12651 (forall ((BOUND_VARIABLE_372490 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301982 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301983 tptp.product_prod_nat_nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5758 (ho_5757 k_5756 BOUND_VARIABLE_372490) BOUND_VARIABLE_301983) BOUND_VARIABLE_301982)) tptp.top_top_set_o)) (ho_5693 (ho_7810 (ho_7809 k_7808 BOUND_VARIABLE_372490) BOUND_VARIABLE_301982) BOUND_VARIABLE_301983))))) (let ((_let_12652 (forall ((BOUND_VARIABLE_372514 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_301938 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_301939 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_301939)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5760 k_5759 BOUND_VARIABLE_372514) BOUND_VARIABLE_301938)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_7812 k_7811 BOUND_VARIABLE_372514) BOUND_VARIABLE_301938) BOUND_VARIABLE_301939))))) (let ((_let_12653 (forall ((BOUND_VARIABLE_372537 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_301891 tptp.set_Product_unit) (BOUND_VARIABLE_301892 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_301893 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_301893)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5763 (ho_5762 k_5761 BOUND_VARIABLE_372537) BOUND_VARIABLE_301891) BOUND_VARIABLE_301892)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_7815 (ho_7814 k_7813 BOUND_VARIABLE_372537) BOUND_VARIABLE_301891) BOUND_VARIABLE_301892) BOUND_VARIABLE_301893))))) (let ((_let_12654 (forall ((BOUND_VARIABLE_372566 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_301842 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_301843 tptp.set_Product_unit) (BOUND_VARIABLE_301844 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_301844)) (ho_4971 (ho_4970 k_4969 (ho_5766 (ho_5765 k_5764 BOUND_VARIABLE_372566) BOUND_VARIABLE_301842)) BOUND_VARIABLE_301843))) (ho_4544 (ho_4974 (ho_7818 (ho_7817 k_7816 BOUND_VARIABLE_372566) BOUND_VARIABLE_301842) BOUND_VARIABLE_301843) BOUND_VARIABLE_301844))))) (let ((_let_12655 (forall ((BOUND_VARIABLE_372594 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301823 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301824 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_301824) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_372594) (ho_4845 k_4844 k_4852)))) BOUND_VARIABLE_301823) (ho_5499 (ho_5552 (ho_7820 k_7819 BOUND_VARIABLE_372594) BOUND_VARIABLE_301823) BOUND_VARIABLE_301824))))) (let ((_let_12656 (forall ((BOUND_VARIABLE_372619 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301809 tptp.set_nat) (BOUND_VARIABLE_301810 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301811 Bool)) (= (ho_5499 (ho_5552 (ho_7823 (ho_7822 k_7821 BOUND_VARIABLE_372619) BOUND_VARIABLE_301809) BOUND_VARIABLE_301810) BOUND_VARIABLE_301811) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_301811) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_372619) BOUND_VARIABLE_301809))) BOUND_VARIABLE_301810))))) (let ((_let_12657 (forall ((BOUND_VARIABLE_372641 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301777 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301778 tptp.nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5769 (ho_5768 k_5767 BOUND_VARIABLE_372641) BOUND_VARIABLE_301778) BOUND_VARIABLE_301777)) tptp.top_top_set_o)) (ho_5708 (ho_7826 (ho_7825 k_7824 BOUND_VARIABLE_372641) BOUND_VARIABLE_301777) BOUND_VARIABLE_301778))))) (let ((_let_12658 (forall ((BOUND_VARIABLE_372668 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301764 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301765 Bool)) (= (ho_5499 (ho_5552 (ho_7828 k_7827 BOUND_VARIABLE_372668) BOUND_VARIABLE_301764) BOUND_VARIABLE_301765) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_301765) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_372668) tptp.bot_bot_set_o))) BOUND_VARIABLE_301764))))) (let ((_let_12659 (forall ((BOUND_VARIABLE_372690 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301750 tptp.set_o) (BOUND_VARIABLE_301751 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301752 Bool)) (= (ho_5499 (ho_5552 (ho_7831 (ho_7830 k_7829 BOUND_VARIABLE_372690) BOUND_VARIABLE_301750) BOUND_VARIABLE_301751) BOUND_VARIABLE_301752) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_301752) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_372690) BOUND_VARIABLE_301750))) BOUND_VARIABLE_301751))))) (let ((_let_12660 (forall ((BOUND_VARIABLE_372712 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301718 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301719 Bool)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5772 (ho_5771 k_5770 BOUND_VARIABLE_372712) BOUND_VARIABLE_301719) BOUND_VARIABLE_301718)) tptp.top_top_set_o)) (ho_5499 (ho_5552 (ho_7828 k_7832 BOUND_VARIABLE_372712) BOUND_VARIABLE_301718) BOUND_VARIABLE_301719))))) (let ((_let_12661 (forall ((BOUND_VARIABLE_372732 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301705 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301706 Bool)) (= (ho_5499 (ho_5552 (ho_7834 k_7833 BOUND_VARIABLE_372732) BOUND_VARIABLE_301705) BOUND_VARIABLE_301706) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_301706) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_372732) tptp.bot_bo3957492148770167129t_unit))) BOUND_VARIABLE_301705))))) (let ((_let_12662 (forall ((BOUND_VARIABLE_372754 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301691 tptp.set_Product_unit) (BOUND_VARIABLE_301692 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301693 Bool)) (= (ho_5499 (ho_5552 (ho_7837 (ho_7836 k_7835 BOUND_VARIABLE_372754) BOUND_VARIABLE_301691) BOUND_VARIABLE_301692) BOUND_VARIABLE_301693) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_301693) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_372754) BOUND_VARIABLE_301691))) BOUND_VARIABLE_301692))))) (let ((_let_12663 (forall ((BOUND_VARIABLE_372776 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_301659 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301660 tptp.product_unit)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5775 (ho_5774 k_5773 BOUND_VARIABLE_372776) BOUND_VARIABLE_301660) BOUND_VARIABLE_301659)) tptp.top_top_set_o)) (ho_5717 (ho_7840 (ho_7839 k_7838 BOUND_VARIABLE_372776) BOUND_VARIABLE_301659) BOUND_VARIABLE_301660))))) (let ((_let_12664 (forall ((BOUND_VARIABLE_372800 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_301615 tptp.set_nat) (BOUND_VARIABLE_301616 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301616)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5777 k_5776 BOUND_VARIABLE_372800) BOUND_VARIABLE_301615)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7842 k_7841 BOUND_VARIABLE_372800) BOUND_VARIABLE_301615) BOUND_VARIABLE_301616))))) (let ((_let_12665 (forall ((BOUND_VARIABLE_372823 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_301568 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_301569 tptp.set_nat) (BOUND_VARIABLE_301570 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301570)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5780 (ho_5779 k_5778 BOUND_VARIABLE_372823) BOUND_VARIABLE_301568) BOUND_VARIABLE_301569)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7845 (ho_7844 k_7843 BOUND_VARIABLE_372823) BOUND_VARIABLE_301568) BOUND_VARIABLE_301569) BOUND_VARIABLE_301570))))) (let ((_let_12666 (forall ((BOUND_VARIABLE_372852 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_301519 tptp.set_nat) (BOUND_VARIABLE_301520 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_301521 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301521)) (ho_4981 (ho_4980 k_4979 (ho_5663 (ho_5662 k_5781 BOUND_VARIABLE_372852) BOUND_VARIABLE_301519)) BOUND_VARIABLE_301520))) (ho_4593 (ho_4986 (ho_7687 (ho_7686 k_7846 BOUND_VARIABLE_372852) BOUND_VARIABLE_301519) BOUND_VARIABLE_301520) BOUND_VARIABLE_301521))))) (let ((_let_12667 (forall ((BOUND_VARIABLE_372873 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_301475 tptp.set_nat) (BOUND_VARIABLE_301476 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301476)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 k_5782 BOUND_VARIABLE_372873) BOUND_VARIABLE_301475)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 k_7847 BOUND_VARIABLE_372873) BOUND_VARIABLE_301475) BOUND_VARIABLE_301476))))) (let ((_let_12668 (forall ((BOUND_VARIABLE_372892 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_301429 tptp.set_nat) (BOUND_VARIABLE_301430 tptp.set_nat) (BOUND_VARIABLE_301431 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301431)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 (ho_5784 k_5783 BOUND_VARIABLE_372892) BOUND_VARIABLE_301429) BOUND_VARIABLE_301430)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 (ho_7677 k_7848 BOUND_VARIABLE_372892) BOUND_VARIABLE_301429) BOUND_VARIABLE_301430) BOUND_VARIABLE_301431))))) (let ((_let_12669 (forall ((BOUND_VARIABLE_372914 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_301381 tptp.set_nat) (BOUND_VARIABLE_301382 tptp.set_nat) (BOUND_VARIABLE_301383 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301383)) (ho_4765 (ho_4764 k_4763 (ho_5658 (ho_5657 k_5785 BOUND_VARIABLE_372914) BOUND_VARIABLE_301381)) BOUND_VARIABLE_301382))) (ho_4593 (ho_4762 (ho_5070 (ho_7677 k_7849 BOUND_VARIABLE_372914) BOUND_VARIABLE_301381) BOUND_VARIABLE_301382) BOUND_VARIABLE_301383))))) (let ((_let_12670 (forall ((BOUND_VARIABLE_372935 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_301338 tptp.set_nat) (BOUND_VARIABLE_301339 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301339)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5660 k_5786 BOUND_VARIABLE_372935) BOUND_VARIABLE_301338)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7851 k_7850 BOUND_VARIABLE_372935) BOUND_VARIABLE_301338) BOUND_VARIABLE_301339))))) (let ((_let_12671 (forall ((BOUND_VARIABLE_372958 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_301292 tptp.set_o) (BOUND_VARIABLE_301293 tptp.set_nat) (BOUND_VARIABLE_301294 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301294)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5789 (ho_5788 k_5787 BOUND_VARIABLE_372958) BOUND_VARIABLE_301292) BOUND_VARIABLE_301293)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7854 (ho_7853 k_7852 BOUND_VARIABLE_372958) BOUND_VARIABLE_301292) BOUND_VARIABLE_301293) BOUND_VARIABLE_301294))))) (let ((_let_12672 (forall ((BOUND_VARIABLE_372987 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_301244 tptp.set_nat) (BOUND_VARIABLE_301245 tptp.set_o) (BOUND_VARIABLE_301246 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301246)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5660 k_5790 BOUND_VARIABLE_372987) BOUND_VARIABLE_301244)) BOUND_VARIABLE_301245))) (ho_4593 (ho_5000 (ho_7682 (ho_7681 k_7855 BOUND_VARIABLE_372987) BOUND_VARIABLE_301244) BOUND_VARIABLE_301245) BOUND_VARIABLE_301246))))) (let ((_let_12673 (forall ((BOUND_VARIABLE_373008 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_301200 tptp.set_nat) (BOUND_VARIABLE_301201 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301201)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5792 k_5791 BOUND_VARIABLE_373008) BOUND_VARIABLE_301200)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7857 k_7856 BOUND_VARIABLE_373008) BOUND_VARIABLE_301200) BOUND_VARIABLE_301201))))) (let ((_let_12674 (forall ((BOUND_VARIABLE_373031 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_301154 tptp.set_Product_unit) (BOUND_VARIABLE_301155 tptp.set_nat) (BOUND_VARIABLE_301156 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301156)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5586 (ho_5794 k_5793 BOUND_VARIABLE_373031) BOUND_VARIABLE_301154) BOUND_VARIABLE_301155)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7457 (ho_7859 k_7858 BOUND_VARIABLE_373031) BOUND_VARIABLE_301154) BOUND_VARIABLE_301155) BOUND_VARIABLE_301156))))) (let ((_let_12675 (forall ((BOUND_VARIABLE_373057 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_301106 tptp.set_nat) (BOUND_VARIABLE_301107 tptp.set_Product_unit) (BOUND_VARIABLE_301108 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301108)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_5795 BOUND_VARIABLE_373057) BOUND_VARIABLE_301106)) BOUND_VARIABLE_301107))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_7860 BOUND_VARIABLE_373057) BOUND_VARIABLE_301106) BOUND_VARIABLE_301107) BOUND_VARIABLE_301108))))) (let ((_let_12676 (forall ((BOUND_VARIABLE_373082 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_301090 Bool) (BOUND_VARIABLE_301091 tptp.set_o) (BOUND_VARIABLE_301092 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_7863 (ho_7862 k_7861 BOUND_VARIABLE_373082) BOUND_VARIABLE_301090) BOUND_VARIABLE_301091) BOUND_VARIABLE_301092) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_301092)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_373082) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_301090) BOUND_VARIABLE_301091)))))))) (let ((_let_12677 (forall ((BOUND_VARIABLE_373109 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_301077 tptp.set_o) (BOUND_VARIABLE_301078 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_7864 BOUND_VARIABLE_373109) BOUND_VARIABLE_301077) BOUND_VARIABLE_301078) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_301078)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_373109) BOUND_VARIABLE_301077))))))) (let ((_let_12678 (forall ((BOUND_VARIABLE_373127 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_301061 tptp.product_unit) (BOUND_VARIABLE_301062 tptp.set_Product_unit) (BOUND_VARIABLE_301063 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7867 (ho_7866 k_7865 BOUND_VARIABLE_373127) BOUND_VARIABLE_301061) BOUND_VARIABLE_301062) BOUND_VARIABLE_301063) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_301063)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_373127) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_301061) BOUND_VARIABLE_301062)))))))) (let ((_let_12679 (forall ((BOUND_VARIABLE_373154 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_301048 tptp.set_Product_unit) (BOUND_VARIABLE_301049 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_7868 BOUND_VARIABLE_373154) BOUND_VARIABLE_301048) BOUND_VARIABLE_301049) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_301049)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_373154) BOUND_VARIABLE_301048))))))) (let ((_let_12680 (forall ((BOUND_VARIABLE_373172 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_301032 tptp.nat) (BOUND_VARIABLE_301033 tptp.set_nat) (BOUND_VARIABLE_301034 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_4757 (ho_7870 k_7869 BOUND_VARIABLE_373172) BOUND_VARIABLE_301032) BOUND_VARIABLE_301033) BOUND_VARIABLE_301034) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_301034)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_373172) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_301032) BOUND_VARIABLE_301033)))))))) (let ((_let_12681 (forall ((BOUND_VARIABLE_373196 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_301019 tptp.set_nat) (BOUND_VARIABLE_301020 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_7871 BOUND_VARIABLE_373196) BOUND_VARIABLE_301019) BOUND_VARIABLE_301020) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_301020)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_373196) BOUND_VARIABLE_301019))))))) (let ((_let_12682 (forall ((BOUND_VARIABLE_373214 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_301003 Bool) (BOUND_VARIABLE_301004 tptp.set_o) (BOUND_VARIABLE_301005 tptp.nat)) (= (ho_4593 (ho_5000 (ho_7874 (ho_7873 k_7872 BOUND_VARIABLE_373214) BOUND_VARIABLE_301003) BOUND_VARIABLE_301004) BOUND_VARIABLE_301005) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_301005)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_373214) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_301003) BOUND_VARIABLE_301004)))))))) (let ((_let_12683 (forall ((BOUND_VARIABLE_373241 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300990 tptp.set_o) (BOUND_VARIABLE_300991 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7875 BOUND_VARIABLE_373241) BOUND_VARIABLE_300990) BOUND_VARIABLE_300991) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300991)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_373241) BOUND_VARIABLE_300990))))))) (let ((_let_12684 (forall ((BOUND_VARIABLE_373259 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300974 tptp.product_unit) (BOUND_VARIABLE_300975 tptp.set_Product_unit) (BOUND_VARIABLE_300976 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_7876 BOUND_VARIABLE_373259) BOUND_VARIABLE_300974) BOUND_VARIABLE_300975) BOUND_VARIABLE_300976) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300976)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_373259) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_300974) BOUND_VARIABLE_300975)))))))) (let ((_let_12685 (forall ((BOUND_VARIABLE_373286 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300961 tptp.set_Product_unit) (BOUND_VARIABLE_300962 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_7879 BOUND_VARIABLE_373286) BOUND_VARIABLE_300961) BOUND_VARIABLE_300962) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300962)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_373286) BOUND_VARIABLE_300961))))))) (let ((_let_12686 (forall ((BOUND_VARIABLE_373304 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300945 tptp.nat) (BOUND_VARIABLE_300946 tptp.set_nat) (BOUND_VARIABLE_300947 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_7880 BOUND_VARIABLE_373304) BOUND_VARIABLE_300945) BOUND_VARIABLE_300946) BOUND_VARIABLE_300947) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300947)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_373304) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_300945) BOUND_VARIABLE_300946)))))))) (let ((_let_12687 (forall ((BOUND_VARIABLE_373324 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300932 tptp.set_nat) (BOUND_VARIABLE_300933 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7881 BOUND_VARIABLE_373324) BOUND_VARIABLE_300932) BOUND_VARIABLE_300933) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300933)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_373324) BOUND_VARIABLE_300932))))))) (let ((_let_12688 (forall ((BOUND_VARIABLE_300896 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_373338 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300898 tptp.set_nat) (BOUND_VARIABLE_300899 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300899)) (ho_4565 (ho_4564 k_4563 (ho_5636 (ho_5635 k_5796 BOUND_VARIABLE_300896) BOUND_VARIABLE_373338)) BOUND_VARIABLE_300898))) (ho_4575 (ho_4758 (ho_6857 (ho_7648 k_7882 BOUND_VARIABLE_300896) BOUND_VARIABLE_373338) BOUND_VARIABLE_300898) BOUND_VARIABLE_300899))))) (let ((_let_12689 (forall ((BOUND_VARIABLE_373362 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300884 tptp.set_nat) (BOUND_VARIABLE_300885 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_7883 BOUND_VARIABLE_373362) BOUND_VARIABLE_300884) BOUND_VARIABLE_300885) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300885)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_373362) BOUND_VARIABLE_300884))))))) (let ((_let_12690 (forall ((BOUND_VARIABLE_300848 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_373376 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300850 tptp.set_o) (BOUND_VARIABLE_300851 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300851)) (ho_6874 (ho_6873 k_6872 (ho_5642 (ho_5641 k_5797 BOUND_VARIABLE_300848) BOUND_VARIABLE_373376)) BOUND_VARIABLE_300850))) (ho_4575 (ho_6871 (ho_6870 (ho_7653 k_7884 BOUND_VARIABLE_300848) BOUND_VARIABLE_373376) BOUND_VARIABLE_300850) BOUND_VARIABLE_300851))))) (let ((_let_12691 (forall ((BOUND_VARIABLE_373400 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300836 tptp.set_o) (BOUND_VARIABLE_300837 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_7885 BOUND_VARIABLE_373400) BOUND_VARIABLE_300836) BOUND_VARIABLE_300837) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300837)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_373400) BOUND_VARIABLE_300836))))))) (let ((_let_12692 (forall ((BOUND_VARIABLE_300801 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_373414 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300803 tptp.set_Product_unit) (BOUND_VARIABLE_300804 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300804)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_5653 k_5798 BOUND_VARIABLE_300801) BOUND_VARIABLE_373414)) BOUND_VARIABLE_300803))) (ho_4575 (ho_7671 (ho_7670 (ho_7673 k_7886 BOUND_VARIABLE_300801) BOUND_VARIABLE_373414) BOUND_VARIABLE_300803) BOUND_VARIABLE_300804))))) (let ((_let_12693 (forall ((BOUND_VARIABLE_373438 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300789 tptp.set_Product_unit) (BOUND_VARIABLE_300790 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_7887 BOUND_VARIABLE_373438) BOUND_VARIABLE_300789) BOUND_VARIABLE_300790) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300790)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_373438) BOUND_VARIABLE_300789))))))) (let ((_let_12694 (forall ((BOUND_VARIABLE_300754 tptp.set_nat) (BOUND_VARIABLE_373452 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300756 tptp.set_nat) (BOUND_VARIABLE_300757 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300757)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_5620 k_5799 BOUND_VARIABLE_300754) BOUND_VARIABLE_373452)) BOUND_VARIABLE_300756))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_7888 BOUND_VARIABLE_300754) BOUND_VARIABLE_373452) BOUND_VARIABLE_300756) BOUND_VARIABLE_300757))))) (let ((_let_12695 (forall ((BOUND_VARIABLE_373476 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300742 tptp.set_nat) (BOUND_VARIABLE_300743 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7889 BOUND_VARIABLE_373476) BOUND_VARIABLE_300742) BOUND_VARIABLE_300743) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300743)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_373476) BOUND_VARIABLE_300742))))))) (let ((_let_12696 (forall ((BOUND_VARIABLE_300707 tptp.set_nat) (BOUND_VARIABLE_373490 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300709 tptp.set_o) (BOUND_VARIABLE_300710 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300710)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_5800 BOUND_VARIABLE_300707) BOUND_VARIABLE_373490)) BOUND_VARIABLE_300709))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_7890 BOUND_VARIABLE_300707) BOUND_VARIABLE_373490) BOUND_VARIABLE_300709) BOUND_VARIABLE_300710))))) (let ((_let_12697 (forall ((BOUND_VARIABLE_373514 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300695 tptp.set_o) (BOUND_VARIABLE_300696 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7891 BOUND_VARIABLE_373514) BOUND_VARIABLE_300695) BOUND_VARIABLE_300696) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300696)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_373514) BOUND_VARIABLE_300695))))))) (let ((_let_12698 (forall ((BOUND_VARIABLE_300660 tptp.set_nat) (BOUND_VARIABLE_373528 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300662 tptp.set_Product_unit) (BOUND_VARIABLE_300663 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300663)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_5801 BOUND_VARIABLE_300660) BOUND_VARIABLE_373528)) BOUND_VARIABLE_300662))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_7892 BOUND_VARIABLE_300660) BOUND_VARIABLE_373528) BOUND_VARIABLE_300662) BOUND_VARIABLE_300663))))) (let ((_let_12699 (forall ((BOUND_VARIABLE_373552 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300648 tptp.set_Product_unit) (BOUND_VARIABLE_300649 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_7893 BOUND_VARIABLE_373552) BOUND_VARIABLE_300648) BOUND_VARIABLE_300649) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300649)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_373552) BOUND_VARIABLE_300648))))))) (let ((_let_12700 (forall ((BOUND_VARIABLE_373566 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300613 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300614 tptp.set_nat) (BOUND_VARIABLE_300615 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300615)) (ho_4565 (ho_4564 k_4563 (ho_5672 (ho_5671 k_5802 BOUND_VARIABLE_373566) BOUND_VARIABLE_300613)) BOUND_VARIABLE_300614))) (ho_4575 (ho_4758 (ho_7701 (ho_7700 k_7894 BOUND_VARIABLE_373566) BOUND_VARIABLE_300613) BOUND_VARIABLE_300614) BOUND_VARIABLE_300615))))) (let ((_let_12701 (forall ((BOUND_VARIABLE_373590 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300600 tptp.set_nat) (BOUND_VARIABLE_300601 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_7895 BOUND_VARIABLE_373590) BOUND_VARIABLE_300600) BOUND_VARIABLE_300601) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300601)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_373590) BOUND_VARIABLE_300600))))))) (let ((_let_12702 (forall ((BOUND_VARIABLE_373604 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300565 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300566 tptp.set_o) (BOUND_VARIABLE_300567 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300567)) (ho_6874 (ho_6873 k_6872 (ho_5675 (ho_5674 k_5803 BOUND_VARIABLE_373604) BOUND_VARIABLE_300565)) BOUND_VARIABLE_300566))) (ho_4575 (ho_6871 (ho_7706 (ho_7705 k_7896 BOUND_VARIABLE_373604) BOUND_VARIABLE_300565) BOUND_VARIABLE_300566) BOUND_VARIABLE_300567))))) (let ((_let_12703 (forall ((BOUND_VARIABLE_373628 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300552 tptp.set_o) (BOUND_VARIABLE_300553 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_7897 BOUND_VARIABLE_373628) BOUND_VARIABLE_300552) BOUND_VARIABLE_300553) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300553)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_373628) BOUND_VARIABLE_300552))))))) (let ((_let_12704 (forall ((BOUND_VARIABLE_373642 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300518 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300519 tptp.set_Product_unit) (BOUND_VARIABLE_300520 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300520)) (ho_7668 (ho_7667 k_7666 (ho_5684 (ho_5683 k_5804 BOUND_VARIABLE_373642) BOUND_VARIABLE_300518)) BOUND_VARIABLE_300519))) (ho_4575 (ho_7671 (ho_7721 (ho_7720 k_7898 BOUND_VARIABLE_373642) BOUND_VARIABLE_300518) BOUND_VARIABLE_300519) BOUND_VARIABLE_300520))))) (let ((_let_12705 (forall ((BOUND_VARIABLE_373666 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_300505 tptp.set_Product_unit) (BOUND_VARIABLE_300506 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_7899 BOUND_VARIABLE_373666) BOUND_VARIABLE_300505) BOUND_VARIABLE_300506) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_300506)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_373666) BOUND_VARIABLE_300505))))))) (let ((_let_12706 (forall ((BOUND_VARIABLE_373680 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300471 tptp.set_nat) (BOUND_VARIABLE_300472 tptp.set_nat) (BOUND_VARIABLE_300473 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300473)) (ho_4765 (ho_4764 k_4763 (ho_5658 (ho_5657 k_5805 BOUND_VARIABLE_373680) BOUND_VARIABLE_300471)) BOUND_VARIABLE_300472))) (ho_4593 (ho_4762 (ho_5070 (ho_7677 k_7900 BOUND_VARIABLE_373680) BOUND_VARIABLE_300471) BOUND_VARIABLE_300472) BOUND_VARIABLE_300473))))) (let ((_let_12707 (forall ((BOUND_VARIABLE_373704 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300458 tptp.set_nat) (BOUND_VARIABLE_300459 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_7901 BOUND_VARIABLE_373704) BOUND_VARIABLE_300458) BOUND_VARIABLE_300459) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300459)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_373704) BOUND_VARIABLE_300458))))))) (let ((_let_12708 (forall ((BOUND_VARIABLE_373718 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300424 tptp.set_nat) (BOUND_VARIABLE_300425 tptp.set_o) (BOUND_VARIABLE_300426 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300426)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5660 k_5806 BOUND_VARIABLE_373718) BOUND_VARIABLE_300424)) BOUND_VARIABLE_300425))) (ho_4593 (ho_5000 (ho_7682 (ho_7681 k_7902 BOUND_VARIABLE_373718) BOUND_VARIABLE_300424) BOUND_VARIABLE_300425) BOUND_VARIABLE_300426))))) (let ((_let_12709 (forall ((BOUND_VARIABLE_373742 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300411 tptp.set_o) (BOUND_VARIABLE_300412 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7903 BOUND_VARIABLE_373742) BOUND_VARIABLE_300411) BOUND_VARIABLE_300412) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300412)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_373742) BOUND_VARIABLE_300411))))))) (let ((_let_12710 (forall ((BOUND_VARIABLE_373756 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300377 tptp.set_nat) (BOUND_VARIABLE_300378 tptp.set_Product_unit) (BOUND_VARIABLE_300379 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300379)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_5807 BOUND_VARIABLE_373756) BOUND_VARIABLE_300377)) BOUND_VARIABLE_300378))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_7904 BOUND_VARIABLE_373756) BOUND_VARIABLE_300377) BOUND_VARIABLE_300378) BOUND_VARIABLE_300379))))) (let ((_let_12711 (forall ((BOUND_VARIABLE_373780 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300364 tptp.set_Product_unit) (BOUND_VARIABLE_300365 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_7905 BOUND_VARIABLE_373780) BOUND_VARIABLE_300364) BOUND_VARIABLE_300365) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300365)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_373780) BOUND_VARIABLE_300364))))))) (let ((_let_12712 (forall ((BOUND_VARIABLE_300348 tptp.product_unit) (BOUND_VARIABLE_373798 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_300350 tptp.set_Product_unit) (BOUND_VARIABLE_300351 Bool)) (= (ho_5499 (ho_7775 (ho_7774 (ho_7907 k_7906 BOUND_VARIABLE_300348) BOUND_VARIABLE_373798) BOUND_VARIABLE_300350) BOUND_VARIABLE_300351) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_300351) (ho_5717 BOUND_VARIABLE_373798 BOUND_VARIABLE_300348)) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_373798) BOUND_VARIABLE_300350))))))) (let ((_let_12713 (forall ((BOUND_VARIABLE_300333 tptp.nat) (BOUND_VARIABLE_373822 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_300335 tptp.set_nat) (BOUND_VARIABLE_300336 Bool)) (= (ho_5499 (ho_7754 (ho_7753 (ho_7909 k_7908 BOUND_VARIABLE_300333) BOUND_VARIABLE_373822) BOUND_VARIABLE_300335) BOUND_VARIABLE_300336) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_300336) (ho_5708 BOUND_VARIABLE_373822 BOUND_VARIABLE_300333)) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_373822) BOUND_VARIABLE_300335))))))) (let ((_let_12714 (forall ((BOUND_VARIABLE_373846 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_300318 tptp.product_prod_nat_nat) (BOUND_VARIABLE_300319 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300320 tptp.nat)) (= (ho_4593 (ho_4986 (ho_7912 (ho_7911 k_7910 BOUND_VARIABLE_373846) BOUND_VARIABLE_300318) BOUND_VARIABLE_300319) BOUND_VARIABLE_300320) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300320)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_373846) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_300318) BOUND_VARIABLE_300319)))))))) (let ((_let_12715 (forall ((BOUND_VARIABLE_300269 tptp.product_prod_nat_nat) (BOUND_VARIABLE_373870 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_300271 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300272 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300272)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5727 (ho_5809 k_5808 BOUND_VARIABLE_300269) BOUND_VARIABLE_373870) BOUND_VARIABLE_300271)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_4985 (ho_7914 k_7913 BOUND_VARIABLE_300269) BOUND_VARIABLE_373870) BOUND_VARIABLE_300271) BOUND_VARIABLE_300272))))) (let ((_let_12716 (forall ((BOUND_VARIABLE_373900 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300254 Bool) (BOUND_VARIABLE_300255 tptp.set_o) (BOUND_VARIABLE_300256 tptp.nat)) (= (ho_4593 (ho_5000 (ho_7874 (ho_7873 k_7915 BOUND_VARIABLE_373900) BOUND_VARIABLE_300254) BOUND_VARIABLE_300255) BOUND_VARIABLE_300256) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300256)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_373900) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_300254) BOUND_VARIABLE_300255)))))))) (let ((_let_12717 (forall ((BOUND_VARIABLE_300205 Bool) (BOUND_VARIABLE_373917 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_300207 tptp.set_o) (BOUND_VARIABLE_300208 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300208)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5811 k_5810 BOUND_VARIABLE_300205) BOUND_VARIABLE_373917) BOUND_VARIABLE_300207)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7917 k_7916 BOUND_VARIABLE_300205) BOUND_VARIABLE_373917) BOUND_VARIABLE_300207) BOUND_VARIABLE_300208))))) (let ((_let_12718 (forall ((BOUND_VARIABLE_373947 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300190 tptp.product_unit) (BOUND_VARIABLE_300191 tptp.set_Product_unit) (BOUND_VARIABLE_300192 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_7918 BOUND_VARIABLE_373947) BOUND_VARIABLE_300190) BOUND_VARIABLE_300191) BOUND_VARIABLE_300192) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300192)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_373947) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_300190) BOUND_VARIABLE_300191)))))))) (let ((_let_12719 (forall ((BOUND_VARIABLE_300141 tptp.product_unit) (BOUND_VARIABLE_373964 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_300143 tptp.set_Product_unit) (BOUND_VARIABLE_300144 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300144)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5813 k_5812 BOUND_VARIABLE_300141) BOUND_VARIABLE_373964) BOUND_VARIABLE_300143)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_7920 k_7919 BOUND_VARIABLE_300141) BOUND_VARIABLE_373964) BOUND_VARIABLE_300143) BOUND_VARIABLE_300144))))) (let ((_let_12720 (forall ((BOUND_VARIABLE_373994 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300126 tptp.nat) (BOUND_VARIABLE_300127 tptp.set_nat) (BOUND_VARIABLE_300128 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_7921 BOUND_VARIABLE_373994) BOUND_VARIABLE_300126) BOUND_VARIABLE_300127) BOUND_VARIABLE_300128) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300128)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_373994) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_300126) BOUND_VARIABLE_300127)))))))) (let ((_let_12721 (forall ((BOUND_VARIABLE_300077 tptp.nat) (BOUND_VARIABLE_374011 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_300079 tptp.set_nat) (BOUND_VARIABLE_300080 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_300080)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5815 k_5814 BOUND_VARIABLE_300077) BOUND_VARIABLE_374011) BOUND_VARIABLE_300079)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_7922 BOUND_VARIABLE_300077) BOUND_VARIABLE_374011) BOUND_VARIABLE_300079) BOUND_VARIABLE_300080))))) (let ((_let_12722 (forall ((BOUND_VARIABLE_374041 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_300062 tptp.product_unit) (BOUND_VARIABLE_300063 tptp.set_Product_unit) (BOUND_VARIABLE_300064 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4974 (ho_7926 (ho_7925 k_7924 BOUND_VARIABLE_374041) BOUND_VARIABLE_300062) BOUND_VARIABLE_300063) BOUND_VARIABLE_300064) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_300064)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_374041) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_300062) BOUND_VARIABLE_300063)))))))) (let ((_let_12723 (forall ((BOUND_VARIABLE_300013 tptp.product_unit) (BOUND_VARIABLE_374065 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_300015 tptp.set_Product_unit) (BOUND_VARIABLE_300016 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_300016)) (ho_4959 (ho_4958 k_4957 (ho_5704 (ho_5703 (ho_5817 k_5816 BOUND_VARIABLE_300013) BOUND_VARIABLE_374065) BOUND_VARIABLE_300015)) tptp.top_top_set_o))) (ho_4544 (ho_4974 (ho_4973 (ho_7928 k_7927 BOUND_VARIABLE_300013) BOUND_VARIABLE_374065) BOUND_VARIABLE_300015) BOUND_VARIABLE_300016))))) (let ((_let_12724 (forall ((BOUND_VARIABLE_374095 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_299998 tptp.nat) (BOUND_VARIABLE_299999 tptp.set_nat) (BOUND_VARIABLE_300000 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5052 (ho_7931 (ho_7930 k_7929 BOUND_VARIABLE_374095) BOUND_VARIABLE_299998) BOUND_VARIABLE_299999) BOUND_VARIABLE_300000) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_300000)) (ho_5055 (ho_5054 k_5053 BOUND_VARIABLE_374095) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_299998) BOUND_VARIABLE_299999)))))))) (let ((_let_12725 (forall ((BOUND_VARIABLE_299949 tptp.nat) (BOUND_VARIABLE_374119 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_299951 tptp.set_nat) (BOUND_VARIABLE_299952 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_299952)) (ho_4959 (ho_4958 k_4957 (ho_5821 (ho_5820 (ho_5819 k_5818 BOUND_VARIABLE_299949) BOUND_VARIABLE_374119) BOUND_VARIABLE_299951)) tptp.top_top_set_o))) (ho_4544 (ho_5052 (ho_5051 (ho_7933 k_7932 BOUND_VARIABLE_299949) BOUND_VARIABLE_374119) BOUND_VARIABLE_299951) BOUND_VARIABLE_299952))))) (let ((_let_12726 (forall ((BOUND_VARIABLE_299934 tptp.product_prod_nat_nat) (BOUND_VARIABLE_374149 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299936 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_299937 Bool)) (= (ho_5499 (ho_7736 (ho_7735 (ho_7935 k_7934 BOUND_VARIABLE_299934) BOUND_VARIABLE_374149) BOUND_VARIABLE_299936) BOUND_VARIABLE_299937) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299937) (ho_5693 BOUND_VARIABLE_374149 BOUND_VARIABLE_299934)) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_374149) BOUND_VARIABLE_299936))))))) (let ((_let_12727 (forall ((BOUND_VARIABLE_299919 Bool) (BOUND_VARIABLE_374173 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299921 tptp.set_o) (BOUND_VARIABLE_299922 Bool)) (= (ho_5499 (ho_7764 (ho_7763 (ho_7937 k_7936 BOUND_VARIABLE_299919) BOUND_VARIABLE_374173) BOUND_VARIABLE_299921) BOUND_VARIABLE_299922) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299922) (ho_5499 BOUND_VARIABLE_374173 BOUND_VARIABLE_299919)) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_374173) BOUND_VARIABLE_299921))))))) (let ((_let_12728 (forall ((BOUND_VARIABLE_299904 tptp.product_unit) (BOUND_VARIABLE_374197 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299906 tptp.set_Product_unit) (BOUND_VARIABLE_299907 Bool)) (= (ho_5499 (ho_7775 (ho_7774 (ho_7907 k_7938 BOUND_VARIABLE_299904) BOUND_VARIABLE_374197) BOUND_VARIABLE_299906) BOUND_VARIABLE_299907) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299907) (ho_5717 BOUND_VARIABLE_374197 BOUND_VARIABLE_299904)) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_374197) BOUND_VARIABLE_299906))))))) (let ((_let_12729 (forall ((BOUND_VARIABLE_299889 tptp.nat) (BOUND_VARIABLE_374217 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299891 tptp.set_nat) (BOUND_VARIABLE_299892 Bool)) (= (ho_5499 (ho_7754 (ho_7753 (ho_7909 k_7939 BOUND_VARIABLE_299889) BOUND_VARIABLE_374217) BOUND_VARIABLE_299891) BOUND_VARIABLE_299892) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299892) (ho_5708 BOUND_VARIABLE_374217 BOUND_VARIABLE_299889)) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_374217) BOUND_VARIABLE_299891))))))) (let ((_let_12730 (forall ((BOUND_VARIABLE_374237 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_299874 tptp.product_prod_nat_nat) (BOUND_VARIABLE_299875 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_299876 tptp.nat)) (= (ho_4593 (ho_4986 (ho_7912 (ho_7911 k_7940 BOUND_VARIABLE_374237) BOUND_VARIABLE_299874) BOUND_VARIABLE_299875) BOUND_VARIABLE_299876) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299876)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_374237) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_299874) BOUND_VARIABLE_299875)))))))) (let ((_let_12731 (forall ((BOUND_VARIABLE_299825 tptp.product_prod_nat_nat) (BOUND_VARIABLE_374254 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_299827 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_299828 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299828)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5727 (ho_5809 k_5822 BOUND_VARIABLE_299825) BOUND_VARIABLE_374254) BOUND_VARIABLE_299827)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_4985 (ho_7914 k_7941 BOUND_VARIABLE_299825) BOUND_VARIABLE_374254) BOUND_VARIABLE_299827) BOUND_VARIABLE_299828))))) (let ((_let_12732 (forall ((BOUND_VARIABLE_374280 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299810 Bool) (BOUND_VARIABLE_299811 tptp.set_o) (BOUND_VARIABLE_299812 tptp.nat)) (= (ho_4593 (ho_5000 (ho_7874 (ho_7873 k_7942 BOUND_VARIABLE_374280) BOUND_VARIABLE_299810) BOUND_VARIABLE_299811) BOUND_VARIABLE_299812) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299812)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_374280) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_299810) BOUND_VARIABLE_299811)))))))) (let ((_let_12733 (forall ((BOUND_VARIABLE_299761 Bool) (BOUND_VARIABLE_374297 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299763 tptp.set_o) (BOUND_VARIABLE_299764 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299764)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5811 k_5823 BOUND_VARIABLE_299761) BOUND_VARIABLE_374297) BOUND_VARIABLE_299763)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7917 k_7943 BOUND_VARIABLE_299761) BOUND_VARIABLE_374297) BOUND_VARIABLE_299763) BOUND_VARIABLE_299764))))) (let ((_let_12734 (forall ((BOUND_VARIABLE_374323 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_299746 tptp.product_unit) (BOUND_VARIABLE_299747 tptp.set_Product_unit) (BOUND_VARIABLE_299748 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_7944 BOUND_VARIABLE_374323) BOUND_VARIABLE_299746) BOUND_VARIABLE_299747) BOUND_VARIABLE_299748) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299748)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_374323) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_299746) BOUND_VARIABLE_299747)))))))) (let ((_let_12735 (forall ((BOUND_VARIABLE_299697 tptp.product_unit) (BOUND_VARIABLE_374340 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_299699 tptp.set_Product_unit) (BOUND_VARIABLE_299700 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299700)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5813 k_5824 BOUND_VARIABLE_299697) BOUND_VARIABLE_374340) BOUND_VARIABLE_299699)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_7920 k_7945 BOUND_VARIABLE_299697) BOUND_VARIABLE_374340) BOUND_VARIABLE_299699) BOUND_VARIABLE_299700))))) (let ((_let_12736 (forall ((BOUND_VARIABLE_374366 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_299682 tptp.nat) (BOUND_VARIABLE_299683 tptp.set_nat) (BOUND_VARIABLE_299684 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_7946 BOUND_VARIABLE_374366) BOUND_VARIABLE_299682) BOUND_VARIABLE_299683) BOUND_VARIABLE_299684) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299684)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_374366) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_299682) BOUND_VARIABLE_299683)))))))) (let ((_let_12737 (forall ((BOUND_VARIABLE_299633 tptp.nat) (BOUND_VARIABLE_374383 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_299635 tptp.set_nat) (BOUND_VARIABLE_299636 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299636)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5815 k_5825 BOUND_VARIABLE_299633) BOUND_VARIABLE_374383) BOUND_VARIABLE_299635)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_7947 BOUND_VARIABLE_299633) BOUND_VARIABLE_374383) BOUND_VARIABLE_299635) BOUND_VARIABLE_299636))))) (let ((_let_12738 (forall ((BOUND_VARIABLE_299589 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_374405 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_299591 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_299591)) (ho_4959 (ho_4958 k_4957 (ho_5687 (ho_5686 k_5826 BOUND_VARIABLE_299589) BOUND_VARIABLE_374405)) tptp.top_top_set_o))) (ho_4544 (ho_4956 (ho_7723 k_7948 BOUND_VARIABLE_299589) BOUND_VARIABLE_374405) BOUND_VARIABLE_299591))))) (let ((_let_12739 (forall ((BOUND_VARIABLE_299571 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_374424 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299573 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299573) BOUND_VARIABLE_299571) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_374424) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_5499 (ho_7732 (ho_7731 k_7949 BOUND_VARIABLE_299571) BOUND_VARIABLE_374424) BOUND_VARIABLE_299573))))) (let ((_let_12740 (forall ((BOUND_VARIABLE_299527 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_374441 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_299529 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_299529)) (ho_4959 (ho_4958 k_4957 (ho_5700 (ho_5699 k_5827 BOUND_VARIABLE_299527) BOUND_VARIABLE_374441)) tptp.top_top_set_o))) (ho_4544 (ho_4968 (ho_7741 k_7950 BOUND_VARIABLE_299527) BOUND_VARIABLE_374441) BOUND_VARIABLE_299529))))) (let ((_let_12741 (forall ((BOUND_VARIABLE_299509 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_374460 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299511 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299511) BOUND_VARIABLE_299509) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_374460) (ho_4845 k_4844 k_4852)))) (ho_5499 (ho_7750 (ho_7749 k_7951 BOUND_VARIABLE_299509) BOUND_VARIABLE_374460) BOUND_VARIABLE_299511))))) (let ((_let_12742 (forall ((BOUND_VARIABLE_299496 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_374480 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299498 Bool)) (= (ho_5499 (ho_7760 (ho_7759 k_7952 BOUND_VARIABLE_299496) BOUND_VARIABLE_374480) BOUND_VARIABLE_299498) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299498) BOUND_VARIABLE_299496) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_374480) tptp.bot_bot_set_o))))))) (let ((_let_12743 (forall ((BOUND_VARIABLE_299483 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_374497 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_299485 Bool)) (= (ho_5499 (ho_7768 (ho_7767 k_7953 BOUND_VARIABLE_299483) BOUND_VARIABLE_374497) BOUND_VARIABLE_299485) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_299485) BOUND_VARIABLE_299483) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_374497) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_12744 (forall ((BOUND_VARIABLE_299439 tptp.set_nat) (BOUND_VARIABLE_374511 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_299441 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299441)) (ho_4699 (ho_4698 k_4697 (ho_5724 (ho_5723 k_5828 BOUND_VARIABLE_299439) BOUND_VARIABLE_374511)) tptp.top_top_set_o))) (ho_4593 (ho_4983 (ho_7780 k_7954 BOUND_VARIABLE_299439) BOUND_VARIABLE_374511) BOUND_VARIABLE_299441))))) (let ((_let_12745 (forall ((BOUND_VARIABLE_299395 tptp.set_nat) (BOUND_VARIABLE_374530 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_299397 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299397)) (ho_4699 (ho_4698 k_4697 (ho_5731 (ho_5730 k_5829 BOUND_VARIABLE_299395) BOUND_VARIABLE_374530)) tptp.top_top_set_o))) (ho_4593 (ho_4992 (ho_7784 k_7955 BOUND_VARIABLE_299395) BOUND_VARIABLE_374530) BOUND_VARIABLE_299397))))) (let ((_let_12746 (forall ((BOUND_VARIABLE_299352 tptp.set_nat) (BOUND_VARIABLE_374549 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299354 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299354)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_5830 BOUND_VARIABLE_299352) BOUND_VARIABLE_374549)) tptp.top_top_set_o))) (ho_4593 (ho_4997 (ho_7788 k_7956 BOUND_VARIABLE_299352) BOUND_VARIABLE_374549) BOUND_VARIABLE_299354))))) (let ((_let_12747 (forall ((BOUND_VARIABLE_299308 tptp.set_nat) (BOUND_VARIABLE_374568 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_299310 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299310)) (ho_4699 (ho_4698 k_4697 (ho_5744 (ho_5743 k_5831 BOUND_VARIABLE_299308) BOUND_VARIABLE_374568)) tptp.top_top_set_o))) (ho_4593 (ho_5006 (ho_7792 k_7957 BOUND_VARIABLE_299308) BOUND_VARIABLE_374568) BOUND_VARIABLE_299310))))) (let ((_let_12748 (forall ((BOUND_VARIABLE_374590 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299296 tptp.set_o) (BOUND_VARIABLE_299297 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7958 BOUND_VARIABLE_374590) BOUND_VARIABLE_299296) BOUND_VARIABLE_299297) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299297)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_374590) BOUND_VARIABLE_299296))))))) (let ((_let_12749 (forall ((BOUND_VARIABLE_374604 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_299271 tptp.int) (BOUND_VARIABLE_299272 tptp.nat) (BOUND_VARIABLE_299273 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_374604 BOUND_VARIABLE_299271)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_299273)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299272) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7959 BOUND_VARIABLE_374604) BOUND_VARIABLE_299271) BOUND_VARIABLE_299272) BOUND_VARIABLE_299273)))))) (let ((_let_12750 (forall ((BOUND_VARIABLE_374627 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_299246 tptp.nat) (BOUND_VARIABLE_299247 tptp.nat) (BOUND_VARIABLE_299248 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_374627 BOUND_VARIABLE_299246)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_299248)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299247) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_7960 BOUND_VARIABLE_374627) BOUND_VARIABLE_299246) BOUND_VARIABLE_299247) BOUND_VARIABLE_299248)))))) (let ((_let_12751 (forall ((BOUND_VARIABLE_374650 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_299221 Bool) (BOUND_VARIABLE_299222 tptp.nat) (BOUND_VARIABLE_299223 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_374650 BOUND_VARIABLE_299221)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_299223)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299222) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_7961 BOUND_VARIABLE_374650) BOUND_VARIABLE_299221) BOUND_VARIABLE_299222) BOUND_VARIABLE_299223)))))) (let ((_let_12752 (forall ((BOUND_VARIABLE_374676 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299208 tptp.set_o) (BOUND_VARIABLE_299209 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7962 BOUND_VARIABLE_374676) BOUND_VARIABLE_299208) BOUND_VARIABLE_299209) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299209)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_374676) BOUND_VARIABLE_299208))))))) (let ((_let_12753 (forall ((BOUND_VARIABLE_299184 tptp.int) (BOUND_VARIABLE_299185 tptp.nat) (BOUND_VARIABLE_299186 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_299184))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_299186)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299185) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7963 BOUND_VARIABLE_299184) BOUND_VARIABLE_299185) BOUND_VARIABLE_299186)))))) (let ((_let_12754 (forall ((BOUND_VARIABLE_299161 tptp.int) (BOUND_VARIABLE_299162 tptp.nat) (BOUND_VARIABLE_299163 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_299161))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_299163)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299162) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7964 BOUND_VARIABLE_299161) BOUND_VARIABLE_299162) BOUND_VARIABLE_299163)))))) (let ((_let_12755 (forall ((BOUND_VARIABLE_299138 tptp.int) (BOUND_VARIABLE_299139 tptp.nat) (BOUND_VARIABLE_299140 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_299138))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_299140)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299139) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_7965 BOUND_VARIABLE_299138) BOUND_VARIABLE_299139) BOUND_VARIABLE_299140)))))) (let ((_let_12756 (forall ((BOUND_VARIABLE_374747 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299126 tptp.set_o) (BOUND_VARIABLE_299127 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7966 BOUND_VARIABLE_374747) BOUND_VARIABLE_299126) BOUND_VARIABLE_299127) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299127)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_374747) BOUND_VARIABLE_299126))))))) (let ((_let_12757 (forall ((BOUND_VARIABLE_374761 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_299091 tptp.set_int) (BOUND_VARIABLE_299092 tptp.nat) (BOUND_VARIABLE_299093 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_374761) BOUND_VARIABLE_299091))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_299093)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299092) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7967 BOUND_VARIABLE_374761) BOUND_VARIABLE_299091) BOUND_VARIABLE_299092) BOUND_VARIABLE_299093))))))) (let ((_let_12758 (forall ((BOUND_VARIABLE_374788 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_299056 tptp.set_nat) (BOUND_VARIABLE_299057 tptp.nat) (BOUND_VARIABLE_299058 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_374788) BOUND_VARIABLE_299056))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_299058)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299057) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7968 BOUND_VARIABLE_374788) BOUND_VARIABLE_299056) BOUND_VARIABLE_299057) BOUND_VARIABLE_299058))))))) (let ((_let_12759 (forall ((BOUND_VARIABLE_374815 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_299021 tptp.set_o) (BOUND_VARIABLE_299022 tptp.nat) (BOUND_VARIABLE_299023 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_374815) BOUND_VARIABLE_299021))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_299023)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_299022) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_7969 BOUND_VARIABLE_374815) BOUND_VARIABLE_299021) BOUND_VARIABLE_299022) BOUND_VARIABLE_299023))))))) (let ((_let_12760 (forall ((BOUND_VARIABLE_374845 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_299008 tptp.set_o) (BOUND_VARIABLE_299009 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_7970 BOUND_VARIABLE_374845) BOUND_VARIABLE_299008) BOUND_VARIABLE_299009) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_299009)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_374845) BOUND_VARIABLE_299008))))))) (let ((_let_12761 (forall ((BOUND_VARIABLE_374859 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_298983 tptp.int) (BOUND_VARIABLE_298984 tptp.nat) (BOUND_VARIABLE_298985 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_374859 BOUND_VARIABLE_298983)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_298985)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_298984) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_7971 BOUND_VARIABLE_374859) BOUND_VARIABLE_298983) BOUND_VARIABLE_298984) BOUND_VARIABLE_298985)))))) (let ((_let_12762 (forall ((BOUND_VARIABLE_374882 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_298948 tptp.set_int) (BOUND_VARIABLE_298949 tptp.nat) (BOUND_VARIABLE_298950 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_374882) BOUND_VARIABLE_298948))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_298950)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_298949) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_7972 BOUND_VARIABLE_374882) BOUND_VARIABLE_298948) BOUND_VARIABLE_298949) BOUND_VARIABLE_298950))))))) (let ((_let_12763 (forall ((BOUND_VARIABLE_374909 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_298923 tptp.nat) (BOUND_VARIABLE_298924 tptp.nat) (BOUND_VARIABLE_298925 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_374909 BOUND_VARIABLE_298923)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_298925)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_298924) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_7973 BOUND_VARIABLE_374909) BOUND_VARIABLE_298923) BOUND_VARIABLE_298924) BOUND_VARIABLE_298925)))))) (let ((_let_12764 (forall ((BOUND_VARIABLE_374932 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_298888 tptp.set_nat) (BOUND_VARIABLE_298889 tptp.nat) (BOUND_VARIABLE_298890 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_374932) BOUND_VARIABLE_298888))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_298890)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_298889) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_7974 BOUND_VARIABLE_374932) BOUND_VARIABLE_298888) BOUND_VARIABLE_298889) BOUND_VARIABLE_298890))))))) (let ((_let_12765 (forall ((BOUND_VARIABLE_374959 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_298863 Bool) (BOUND_VARIABLE_298864 tptp.nat) (BOUND_VARIABLE_298865 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_374959 BOUND_VARIABLE_298863)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_298865)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_298864) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_7975 BOUND_VARIABLE_374959) BOUND_VARIABLE_298863) BOUND_VARIABLE_298864) BOUND_VARIABLE_298865)))))) (let ((_let_12766 (forall ((BOUND_VARIABLE_374982 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_298828 tptp.set_o) (BOUND_VARIABLE_298829 tptp.nat) (BOUND_VARIABLE_298830 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (let ((_let_2 (ho_5378 k_5424 (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_374982) BOUND_VARIABLE_298828))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_2)) BOUND_VARIABLE_298830)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_298829) (ho_5369 k_5368 _let_2))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_7976 BOUND_VARIABLE_374982) BOUND_VARIABLE_298828) BOUND_VARIABLE_298829) BOUND_VARIABLE_298830))))))) (let ((_let_12767 (forall ((BOUND_VARIABLE_298817 tptp.set_set_nat) (BOUND_VARIABLE_298818 tptp.nat)) (= (ho_4593 (ho_5067 k_7977 BOUND_VARIABLE_298817) BOUND_VARIABLE_298818) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298818)) BOUND_VARIABLE_298817)))))) (let ((_let_12768 (forall ((BOUND_VARIABLE_298790 tptp.set_nat) (BOUND_VARIABLE_298791 tptp.set_set_nat) (BOUND_VARIABLE_298792 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298792)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_5832 BOUND_VARIABLE_298790)) BOUND_VARIABLE_298791))) (ho_4593 (ho_5067 (ho_7979 k_7978 BOUND_VARIABLE_298790) BOUND_VARIABLE_298791) BOUND_VARIABLE_298792))))) (let ((_let_12769 (forall ((BOUND_VARIABLE_298780 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298781 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_7980 BOUND_VARIABLE_298780) BOUND_VARIABLE_298781) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298781)) BOUND_VARIABLE_298780)))))) (let ((_let_12770 (forall ((BOUND_VARIABLE_298753 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298754 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298755 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298755)) (ho_5160 (ho_7982 k_7981 (ho_5638 k_5833 BOUND_VARIABLE_298753)) BOUND_VARIABLE_298754))) (ho_4575 (ho_6221 (ho_7984 k_7983 BOUND_VARIABLE_298753) BOUND_VARIABLE_298754) BOUND_VARIABLE_298755))))) (let ((_let_12771 (forall ((BOUND_VARIABLE_298744 tptp.nat)) (= (ho_4593 k_7985 BOUND_VARIABLE_298744) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298744)) tptp.bot_bot_set_set_nat)))))) (let ((_let_12772 (forall ((BOUND_VARIABLE_298734 tptp.set_set_nat) (BOUND_VARIABLE_298735 tptp.nat)) (= (ho_4593 (ho_5067 k_7986 BOUND_VARIABLE_298734) BOUND_VARIABLE_298735) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298735)) BOUND_VARIABLE_298734)))))) (let ((_let_12773 (forall ((BOUND_VARIABLE_298720 tptp.set_nat) (BOUND_VARIABLE_298721 tptp.set_set_nat) (BOUND_VARIABLE_298722 tptp.nat)) (= (ho_4593 (ho_5067 (ho_7979 k_7987 BOUND_VARIABLE_298720) BOUND_VARIABLE_298721) BOUND_VARIABLE_298722) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298722)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_4928 BOUND_VARIABLE_298720)) BOUND_VARIABLE_298721))))))) (let ((_let_12774 (forall ((BOUND_VARIABLE_298711 tptp.product_prod_nat_nat)) (= (ho_4575 k_7988 BOUND_VARIABLE_298711) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298711)) tptp.bot_bo3083307316010499117at_nat)))))) (let ((_let_12775 (forall ((BOUND_VARIABLE_298701 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298702 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_7989 BOUND_VARIABLE_298701) BOUND_VARIABLE_298702) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298702)) BOUND_VARIABLE_298701)))))) (let ((_let_12776 (forall ((BOUND_VARIABLE_298687 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298688 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298689 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 (ho_7984 k_7990 BOUND_VARIABLE_298687) BOUND_VARIABLE_298688) BOUND_VARIABLE_298689) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298689)) (ho_5160 (ho_7982 k_7981 (ho_5638 k_5637 BOUND_VARIABLE_298687)) BOUND_VARIABLE_298688))))))) (let ((_let_12777 (forall ((BOUND_VARIABLE_298648 tptp.set_nat) (BOUND_VARIABLE_298649 tptp.set_set_nat) (BOUND_VARIABLE_298650 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298650)) (ho_4699 (ho_4698 k_4697 (ho_5836 (ho_5835 k_5834 BOUND_VARIABLE_298648) BOUND_VARIABLE_298649)) tptp.top_top_set_o))) (ho_4593 (ho_5067 (ho_7979 k_7991 BOUND_VARIABLE_298648) BOUND_VARIABLE_298649) BOUND_VARIABLE_298650))))) (let ((_let_12778 (forall ((BOUND_VARIABLE_298605 tptp.set_nat) (BOUND_VARIABLE_298606 tptp.set_set_nat) (BOUND_VARIABLE_298607 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298607)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_5837 BOUND_VARIABLE_298605)) BOUND_VARIABLE_298606))) (ho_4593 (ho_5067 (ho_7979 k_7992 BOUND_VARIABLE_298605) BOUND_VARIABLE_298606) BOUND_VARIABLE_298607))))) (let ((_let_12779 (forall ((BOUND_VARIABLE_298566 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298567 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_298568 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_298568)) (ho_4959 (ho_4958 k_4957 (ho_5840 (ho_5839 k_5838 BOUND_VARIABLE_298566) BOUND_VARIABLE_298567)) tptp.top_top_set_o))) (ho_4544 (ho_5072 (ho_7994 k_7993 BOUND_VARIABLE_298566) BOUND_VARIABLE_298567) BOUND_VARIABLE_298568))))) (let ((_let_12780 (forall ((BOUND_VARIABLE_298523 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298524 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_298525 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_298525)) (ho_7997 (ho_7996 k_7995 (ho_4622 k_5841 BOUND_VARIABLE_298523)) BOUND_VARIABLE_298524))) (ho_4544 (ho_5072 (ho_7994 k_7998 BOUND_VARIABLE_298523) BOUND_VARIABLE_298524) BOUND_VARIABLE_298525))))) (let ((_let_12781 (forall ((BOUND_VARIABLE_298512 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_298513 tptp.set_se6425085446898223655at_nat) (BOUND_VARIABLE_298514 Bool)) (= (ho_5499 (ho_8001 (ho_8000 k_7999 BOUND_VARIABLE_298512) BOUND_VARIABLE_298513) BOUND_VARIABLE_298514) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_298514) BOUND_VARIABLE_298512) (ho_5504 k_8002 BOUND_VARIABLE_298513)))))) (let ((_let_12782 (forall ((BOUND_VARIABLE_298486 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_298487 tptp.set_Pr8693737435421807431at_nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5842 BOUND_VARIABLE_298486) BOUND_VARIABLE_298487)) tptp.top_top_set_o)) (ho_5556 (ho_5555 k_8003 BOUND_VARIABLE_298486) BOUND_VARIABLE_298487))))) (let ((_let_12783 (forall ((BOUND_VARIABLE_298476 tptp.set_set_nat) (BOUND_VARIABLE_298477 tptp.nat)) (= (ho_4593 (ho_5067 k_8004 BOUND_VARIABLE_298476) BOUND_VARIABLE_298477) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298477)) BOUND_VARIABLE_298476)))))) (let ((_let_12784 (forall ((BOUND_VARIABLE_298462 tptp.set_nat) (BOUND_VARIABLE_298463 tptp.set_set_nat) (BOUND_VARIABLE_298464 tptp.nat)) (= (ho_4593 (ho_5067 (ho_7979 k_8005 BOUND_VARIABLE_298462) BOUND_VARIABLE_298463) BOUND_VARIABLE_298464) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298464)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_4928 BOUND_VARIABLE_298462)) BOUND_VARIABLE_298463))))))) (let ((_let_12785 (forall ((BOUND_VARIABLE_298452 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298453 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_8006 BOUND_VARIABLE_298452) BOUND_VARIABLE_298453) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298453)) BOUND_VARIABLE_298452)))))) (let ((_let_12786 (forall ((BOUND_VARIABLE_298438 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298439 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298440 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 (ho_7984 k_8007 BOUND_VARIABLE_298438) BOUND_VARIABLE_298439) BOUND_VARIABLE_298440) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298440)) (ho_5160 (ho_7982 k_7981 (ho_5638 k_5637 BOUND_VARIABLE_298438)) BOUND_VARIABLE_298439))))))) (let ((_let_12787 (forall ((BOUND_VARIABLE_298428 tptp.set_set_nat) (BOUND_VARIABLE_298429 tptp.nat)) (= (ho_4593 (ho_5067 k_8008 BOUND_VARIABLE_298428) BOUND_VARIABLE_298429) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298429)) BOUND_VARIABLE_298428)))))) (let ((_let_12788 (forall ((BOUND_VARIABLE_298401 tptp.set_nat) (BOUND_VARIABLE_298402 tptp.set_set_nat) (BOUND_VARIABLE_298403 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298403)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_5843 BOUND_VARIABLE_298401)) BOUND_VARIABLE_298402))) (ho_4593 (ho_5067 (ho_7979 k_8009 BOUND_VARIABLE_298401) BOUND_VARIABLE_298402) BOUND_VARIABLE_298403))))) (let ((_let_12789 (forall ((BOUND_VARIABLE_298391 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298392 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_8010 BOUND_VARIABLE_298391) BOUND_VARIABLE_298392) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298392)) BOUND_VARIABLE_298391)))))) (let ((_let_12790 (forall ((BOUND_VARIABLE_298364 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298365 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298366 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298366)) (ho_5160 (ho_7982 k_7981 (ho_5638 k_5844 BOUND_VARIABLE_298364)) BOUND_VARIABLE_298365))) (ho_4575 (ho_6221 (ho_7984 k_8011 BOUND_VARIABLE_298364) BOUND_VARIABLE_298365) BOUND_VARIABLE_298366))))) (let ((_let_12791 (forall ((BOUND_VARIABLE_375366 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_298352 tptp.set_int) (BOUND_VARIABLE_298353 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_8012 BOUND_VARIABLE_375366) BOUND_VARIABLE_298352) BOUND_VARIABLE_298353) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298353)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_375366) BOUND_VARIABLE_298352))))))) (let ((_let_12792 (forall ((BOUND_VARIABLE_375383 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_298339 tptp.set_nat) (BOUND_VARIABLE_298340 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8013 BOUND_VARIABLE_375383) BOUND_VARIABLE_298339) BOUND_VARIABLE_298340) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298340)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_375383) BOUND_VARIABLE_298339))))))) (let ((_let_12793 (forall ((BOUND_VARIABLE_375400 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_298326 tptp.set_o) (BOUND_VARIABLE_298327 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8014 BOUND_VARIABLE_375400) BOUND_VARIABLE_298326) BOUND_VARIABLE_298327) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298327)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_375400) BOUND_VARIABLE_298326))))))) (let ((_let_12794 (forall ((BOUND_VARIABLE_375417 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_298313 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298314 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_8015 BOUND_VARIABLE_375417) BOUND_VARIABLE_298313) BOUND_VARIABLE_298314) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298314)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_375417) BOUND_VARIABLE_298313))))))) (let ((_let_12795 (forall ((BOUND_VARIABLE_375434 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_298300 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298301 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8016 BOUND_VARIABLE_375434) BOUND_VARIABLE_298300) BOUND_VARIABLE_298301) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298301)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_375434) BOUND_VARIABLE_298300))))))) (let ((_let_12796 (forall ((BOUND_VARIABLE_375451 |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_298287 tptp.set_int) (BOUND_VARIABLE_298288 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6865 (ho_6864 k_8017 BOUND_VARIABLE_375451) BOUND_VARIABLE_298287) BOUND_VARIABLE_298288) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298288)) (ho_6868 (ho_6867 k_6866 BOUND_VARIABLE_375451) BOUND_VARIABLE_298287))))))) (let ((_let_12797 (forall ((BOUND_VARIABLE_375468 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_298274 tptp.set_nat) (BOUND_VARIABLE_298275 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_8018 BOUND_VARIABLE_375468) BOUND_VARIABLE_298274) BOUND_VARIABLE_298275) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298275)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_375468) BOUND_VARIABLE_298274))))))) (let ((_let_12798 (forall ((BOUND_VARIABLE_375485 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_298261 tptp.set_o) (BOUND_VARIABLE_298262 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_8019 BOUND_VARIABLE_375485) BOUND_VARIABLE_298261) BOUND_VARIABLE_298262) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298262)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_375485) BOUND_VARIABLE_298261))))))) (let ((_let_12799 (forall ((BOUND_VARIABLE_375502 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_298248 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298249 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_6859 k_8020 BOUND_VARIABLE_375502) BOUND_VARIABLE_298248) BOUND_VARIABLE_298249) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298249)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_375502) BOUND_VARIABLE_298248))))))) (let ((_let_12800 (forall ((BOUND_VARIABLE_375519 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_298235 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298236 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_8021 BOUND_VARIABLE_375519) BOUND_VARIABLE_298235) BOUND_VARIABLE_298236) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_298236)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_375519) BOUND_VARIABLE_298235))))))) (let ((_let_12801 (forall ((BOUND_VARIABLE_375536 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_298222 tptp.set_nat) (BOUND_VARIABLE_298223 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5052 (ho_5051 k_8022 BOUND_VARIABLE_375536) BOUND_VARIABLE_298222) BOUND_VARIABLE_298223) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_298223)) (ho_5055 (ho_5054 k_5053 BOUND_VARIABLE_375536) BOUND_VARIABLE_298222))))))) (let ((_let_12802 (forall ((BOUND_VARIABLE_298173 tptp.nat) (BOUND_VARIABLE_375550 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_298175 tptp.set_nat) (BOUND_VARIABLE_298176 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_298176)) (ho_4959 (ho_4958 k_4957 (ho_5821 (ho_5820 (ho_5819 k_5845 BOUND_VARIABLE_298173) BOUND_VARIABLE_375550) BOUND_VARIABLE_298175)) tptp.top_top_set_o))) (ho_4544 (ho_5052 (ho_5051 (ho_7933 k_8023 BOUND_VARIABLE_298173) BOUND_VARIABLE_375550) BOUND_VARIABLE_298175) BOUND_VARIABLE_298176))))) (let ((_let_12803 (forall ((BOUND_VARIABLE_375575 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_298161 tptp.set_o) (BOUND_VARIABLE_298162 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4962 (ho_4961 k_8024 BOUND_VARIABLE_375575) BOUND_VARIABLE_298161) BOUND_VARIABLE_298162) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_298162)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_375575) BOUND_VARIABLE_298161))))))) (let ((_let_12804 (forall ((BOUND_VARIABLE_298111 Bool) (BOUND_VARIABLE_375589 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_298113 tptp.set_o) (BOUND_VARIABLE_298114 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_298114)) (ho_4959 (ho_4958 k_4957 (ho_5691 (ho_5690 (ho_5847 k_5846 BOUND_VARIABLE_298111) BOUND_VARIABLE_375589) BOUND_VARIABLE_298113)) tptp.top_top_set_o))) (ho_4544 (ho_4962 (ho_4961 (ho_8026 k_8025 BOUND_VARIABLE_298111) BOUND_VARIABLE_375589) BOUND_VARIABLE_298113) BOUND_VARIABLE_298114))))) (let ((_let_12805 (forall ((BOUND_VARIABLE_298096 tptp.product_prod_nat_nat) (BOUND_VARIABLE_375619 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_298098 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298099 Bool)) (= (ho_5499 (ho_7736 (ho_7735 (ho_7935 k_8027 BOUND_VARIABLE_298096) BOUND_VARIABLE_375619) BOUND_VARIABLE_298098) BOUND_VARIABLE_298099) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_298099) (ho_5693 BOUND_VARIABLE_375619 BOUND_VARIABLE_298096)) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_375619) BOUND_VARIABLE_298098))))))) (let ((_let_12806 (forall ((BOUND_VARIABLE_298081 tptp.int) (BOUND_VARIABLE_375640 |u_(-> tptp.int tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_298083 tptp.set_int) (BOUND_VARIABLE_298084 Bool)) (= (ho_5499 (ho_8032 (ho_8031 (ho_8030 k_8029 BOUND_VARIABLE_298081) BOUND_VARIABLE_375640) BOUND_VARIABLE_298083) BOUND_VARIABLE_298084) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_298084) (ho_8028 BOUND_VARIABLE_375640 BOUND_VARIABLE_298081)) (ho_5504 k_5503 (ho_8035 (ho_8034 k_8033 BOUND_VARIABLE_375640) BOUND_VARIABLE_298083))))))) (let ((_let_12807 (forall ((BOUND_VARIABLE_298066 tptp.nat) (BOUND_VARIABLE_375681 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_298068 tptp.set_nat) (BOUND_VARIABLE_298069 Bool)) (= (ho_5499 (ho_7754 (ho_7753 (ho_7909 k_8036 BOUND_VARIABLE_298066) BOUND_VARIABLE_375681) BOUND_VARIABLE_298068) BOUND_VARIABLE_298069) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_298069) (ho_5708 BOUND_VARIABLE_375681 BOUND_VARIABLE_298066)) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_375681) BOUND_VARIABLE_298068))))))) (let ((_let_12808 (forall ((BOUND_VARIABLE_298051 Bool) (BOUND_VARIABLE_375701 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_298053 tptp.set_o) (BOUND_VARIABLE_298054 Bool)) (= (ho_5499 (ho_7764 (ho_7763 (ho_7937 k_8037 BOUND_VARIABLE_298051) BOUND_VARIABLE_375701) BOUND_VARIABLE_298053) BOUND_VARIABLE_298054) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_298054) (ho_5499 BOUND_VARIABLE_375701 BOUND_VARIABLE_298051)) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_375701) BOUND_VARIABLE_298053))))))) (let ((_let_12809 (forall ((BOUND_VARIABLE_375720 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_298039 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298040 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_8038 BOUND_VARIABLE_375720) BOUND_VARIABLE_298039) BOUND_VARIABLE_298040) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_298040)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_375720) BOUND_VARIABLE_298039))))))) (let ((_let_12810 (forall ((BOUND_VARIABLE_297990 tptp.product_prod_nat_nat) (BOUND_VARIABLE_375734 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_297992 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297993 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297993)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5727 (ho_5809 k_5848 BOUND_VARIABLE_297990) BOUND_VARIABLE_375734) BOUND_VARIABLE_297992)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_4985 (ho_7914 k_8039 BOUND_VARIABLE_297990) BOUND_VARIABLE_375734) BOUND_VARIABLE_297992) BOUND_VARIABLE_297993))))) (let ((_let_12811 (forall ((BOUND_VARIABLE_375759 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_297978 tptp.set_int) (BOUND_VARIABLE_297979 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_8040 BOUND_VARIABLE_375759) BOUND_VARIABLE_297978) BOUND_VARIABLE_297979) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297979)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_375759) BOUND_VARIABLE_297978))))))) (let ((_let_12812 (forall ((BOUND_VARIABLE_297929 tptp.int) (BOUND_VARIABLE_375773 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_297931 tptp.set_int) (BOUND_VARIABLE_297932 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297932)) (ho_4699 (ho_4698 k_4697 (ho_5852 (ho_5851 (ho_5850 k_5849 BOUND_VARIABLE_297929) BOUND_VARIABLE_375773) BOUND_VARIABLE_297931)) tptp.top_top_set_o))) (ho_4593 (ho_5080 (ho_5079 (ho_8042 k_8041 BOUND_VARIABLE_297929) BOUND_VARIABLE_375773) BOUND_VARIABLE_297931) BOUND_VARIABLE_297932))))) (let ((_let_12813 (forall ((BOUND_VARIABLE_375802 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_297917 tptp.set_nat) (BOUND_VARIABLE_297918 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8043 BOUND_VARIABLE_375802) BOUND_VARIABLE_297917) BOUND_VARIABLE_297918) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297918)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_375802) BOUND_VARIABLE_297917))))))) (let ((_let_12814 (forall ((BOUND_VARIABLE_297868 tptp.nat) (BOUND_VARIABLE_375816 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_297870 tptp.set_nat) (BOUND_VARIABLE_297871 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297871)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5815 k_5853 BOUND_VARIABLE_297868) BOUND_VARIABLE_375816) BOUND_VARIABLE_297870)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_8044 BOUND_VARIABLE_297868) BOUND_VARIABLE_375816) BOUND_VARIABLE_297870) BOUND_VARIABLE_297871))))) (let ((_let_12815 (forall ((BOUND_VARIABLE_375841 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_297856 tptp.set_o) (BOUND_VARIABLE_297857 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8045 BOUND_VARIABLE_375841) BOUND_VARIABLE_297856) BOUND_VARIABLE_297857) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297857)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_375841) BOUND_VARIABLE_297856))))))) (let ((_let_12816 (forall ((BOUND_VARIABLE_297807 Bool) (BOUND_VARIABLE_375855 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_297809 tptp.set_o) (BOUND_VARIABLE_297810 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297810)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5811 k_5854 BOUND_VARIABLE_297807) BOUND_VARIABLE_375855) BOUND_VARIABLE_297809)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7917 k_8046 BOUND_VARIABLE_297807) BOUND_VARIABLE_375855) BOUND_VARIABLE_297809) BOUND_VARIABLE_297810))))) (let ((_let_12817 (forall ((BOUND_VARIABLE_297799 tptp.code_integer) (BOUND_VARIABLE_297800 tptp.code_integer)) (= (ho_5399 (ho_5398 k_8047 BOUND_VARIABLE_297799) BOUND_VARIABLE_297800) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_297800) BOUND_VARIABLE_297799))))) (let ((_let_12818 (forall ((BOUND_VARIABLE_297791 tptp.code_integer) (BOUND_VARIABLE_297792 tptp.code_integer)) (= (ho_5399 (ho_5398 k_8048 BOUND_VARIABLE_297791) BOUND_VARIABLE_297792) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_297792) BOUND_VARIABLE_297791))))) (let ((_let_12819 (forall ((BOUND_VARIABLE_297783 tptp.code_integer) (BOUND_VARIABLE_297784 tptp.code_integer)) (= (ho_5399 (ho_5398 k_8049 BOUND_VARIABLE_297783) BOUND_VARIABLE_297784) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_297784) BOUND_VARIABLE_297783))))) (let ((_let_12820 (forall ((BOUND_VARIABLE_297775 tptp.rat) (BOUND_VARIABLE_297776 tptp.rat)) (= (ho_6804 (ho_8051 k_8050 BOUND_VARIABLE_297775) BOUND_VARIABLE_297776) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_297776) BOUND_VARIABLE_297775))))) (let ((_let_12821 (forall ((BOUND_VARIABLE_297767 tptp.rat) (BOUND_VARIABLE_297768 tptp.rat)) (= (ho_6804 (ho_8051 k_8053 BOUND_VARIABLE_297767) BOUND_VARIABLE_297768) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_297768) BOUND_VARIABLE_297767))))) (let ((_let_12822 (forall ((BOUND_VARIABLE_297759 tptp.rat) (BOUND_VARIABLE_297760 tptp.rat)) (= (ho_6804 (ho_8051 k_8054 BOUND_VARIABLE_297759) BOUND_VARIABLE_297760) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_297760) BOUND_VARIABLE_297759))))) (let ((_let_12823 (forall ((BOUND_VARIABLE_297747 tptp.int) (BOUND_VARIABLE_297748 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_297748) BOUND_VARIABLE_297747) (ho_4914 (ho_5432 k_8055 BOUND_VARIABLE_297747) BOUND_VARIABLE_297748))))) (let ((_let_12824 (forall ((BOUND_VARIABLE_297735 tptp.int) (BOUND_VARIABLE_297736 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_297736) BOUND_VARIABLE_297735) (ho_4914 (ho_5432 k_8056 BOUND_VARIABLE_297735) BOUND_VARIABLE_297736))))) (let ((_let_12825 (forall ((BOUND_VARIABLE_297723 tptp.int) (BOUND_VARIABLE_297724 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_297724) BOUND_VARIABLE_297723) (ho_4914 (ho_5432 k_8057 BOUND_VARIABLE_297723) BOUND_VARIABLE_297724))))) (let ((_let_12826 (forall ((BOUND_VARIABLE_375966 |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_297711 tptp.set_int) (BOUND_VARIABLE_297712 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6865 (ho_6864 k_8058 BOUND_VARIABLE_375966) BOUND_VARIABLE_297711) BOUND_VARIABLE_297712) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_297712)) (ho_6868 (ho_6867 k_6866 BOUND_VARIABLE_375966) BOUND_VARIABLE_297711))))))) (let ((_let_12827 (forall ((BOUND_VARIABLE_375983 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_297698 tptp.set_nat) (BOUND_VARIABLE_297699 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_8059 BOUND_VARIABLE_375983) BOUND_VARIABLE_297698) BOUND_VARIABLE_297699) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_297699)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_375983) BOUND_VARIABLE_297698))))))) (let ((_let_12828 (forall ((BOUND_VARIABLE_376000 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_297685 tptp.set_o) (BOUND_VARIABLE_297686 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_8060 BOUND_VARIABLE_376000) BOUND_VARIABLE_297685) BOUND_VARIABLE_297686) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_297686)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_376000) BOUND_VARIABLE_297685))))))) (let ((_let_12829 (forall ((BOUND_VARIABLE_376017 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_297672 tptp.set_int) (BOUND_VARIABLE_297673 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_8061 BOUND_VARIABLE_376017) BOUND_VARIABLE_297672) BOUND_VARIABLE_297673) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297673)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_376017) BOUND_VARIABLE_297672))))))) (let ((_let_12830 (forall ((BOUND_VARIABLE_376034 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_297659 tptp.set_nat) (BOUND_VARIABLE_297660 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8062 BOUND_VARIABLE_376034) BOUND_VARIABLE_297659) BOUND_VARIABLE_297660) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297660)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_376034) BOUND_VARIABLE_297659))))))) (let ((_let_12831 (forall ((BOUND_VARIABLE_376051 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_297646 tptp.set_o) (BOUND_VARIABLE_297647 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8063 BOUND_VARIABLE_376051) BOUND_VARIABLE_297646) BOUND_VARIABLE_297647) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297647)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_376051) BOUND_VARIABLE_297646))))))) (let ((_let_12832 (forall ((BOUND_VARIABLE_297605 tptp.set_set_nat) (BOUND_VARIABLE_297606 tptp.set_nat) (BOUND_VARIABLE_297607 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297607)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5856 k_5855 BOUND_VARIABLE_297605) BOUND_VARIABLE_297606)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_8065 k_8064 BOUND_VARIABLE_297605) BOUND_VARIABLE_297606) BOUND_VARIABLE_297607))))) (let ((_let_12833 (forall ((BOUND_VARIABLE_297564 tptp.set_nat) (BOUND_VARIABLE_297565 tptp.set_set_nat) (BOUND_VARIABLE_297566 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297566)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_5857 BOUND_VARIABLE_297564)) BOUND_VARIABLE_297565))) (ho_4593 (ho_5067 (ho_7979 k_8066 BOUND_VARIABLE_297564) BOUND_VARIABLE_297565) BOUND_VARIABLE_297566))))) (let ((_let_12834 (forall ((BOUND_VARIABLE_297524 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_297525 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_297526 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_297526)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5859 k_5858 BOUND_VARIABLE_297524) BOUND_VARIABLE_297525)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_8068 k_8067 BOUND_VARIABLE_297524) BOUND_VARIABLE_297525) BOUND_VARIABLE_297526))))) (let ((_let_12835 (forall ((BOUND_VARIABLE_297483 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_297484 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_297485 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_297485)) (ho_7997 (ho_7996 k_7995 (ho_4622 k_5860 BOUND_VARIABLE_297483)) BOUND_VARIABLE_297484))) (ho_4544 (ho_5072 (ho_7994 k_8069 BOUND_VARIABLE_297483) BOUND_VARIABLE_297484) BOUND_VARIABLE_297485))))) (let ((_let_12836 (forall ((BOUND_VARIABLE_297472 tptp.set_se6425085446898223655at_nat) (BOUND_VARIABLE_297473 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_297474 Bool)) (= (ho_5499 (ho_5552 (ho_8071 k_8070 BOUND_VARIABLE_297472) BOUND_VARIABLE_297473) BOUND_VARIABLE_297474) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_297474) (ho_5504 k_8002 BOUND_VARIABLE_297472)) BOUND_VARIABLE_297473))))) (let ((_let_12837 (forall ((BOUND_VARIABLE_297446 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_297447 tptp.set_Pr8693737435421807431at_nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5861 BOUND_VARIABLE_297447) BOUND_VARIABLE_297446)) tptp.top_top_set_o)) (ho_5556 (ho_5555 k_8072 BOUND_VARIABLE_297446) BOUND_VARIABLE_297447))))) (let ((_let_12838 (forall ((BOUND_VARIABLE_297436 tptp.set_set_nat) (BOUND_VARIABLE_297437 tptp.nat)) (= (ho_4593 (ho_5067 k_8073 BOUND_VARIABLE_297436) BOUND_VARIABLE_297437) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297437)) BOUND_VARIABLE_297436)))))) (let ((_let_12839 (forall ((BOUND_VARIABLE_297409 tptp.set_nat) (BOUND_VARIABLE_297410 tptp.set_set_nat) (BOUND_VARIABLE_297411 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297411)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_5862 BOUND_VARIABLE_297409)) BOUND_VARIABLE_297410))) (ho_4593 (ho_5067 (ho_7979 k_8074 BOUND_VARIABLE_297409) BOUND_VARIABLE_297410) BOUND_VARIABLE_297411))))) (let ((_let_12840 (forall ((BOUND_VARIABLE_297399 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_297400 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_8075 BOUND_VARIABLE_297399) BOUND_VARIABLE_297400) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_297400)) BOUND_VARIABLE_297399)))))) (let ((_let_12841 (forall ((BOUND_VARIABLE_297372 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297373 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_297374 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_297374)) (ho_5160 (ho_7982 k_7981 (ho_5638 k_5863 BOUND_VARIABLE_297372)) BOUND_VARIABLE_297373))) (ho_4575 (ho_6221 (ho_7984 k_8076 BOUND_VARIABLE_297372) BOUND_VARIABLE_297373) BOUND_VARIABLE_297374))))) (let ((_let_12842 (forall ((BOUND_VARIABLE_297357 tptp.nat) (BOUND_VARIABLE_376223 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_297359 tptp.set_nat) (BOUND_VARIABLE_297360 Bool)) (= (ho_5499 (ho_7754 (ho_7753 (ho_7909 k_8077 BOUND_VARIABLE_297357) BOUND_VARIABLE_376223) BOUND_VARIABLE_297359) BOUND_VARIABLE_297360) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_297360) (ho_5708 BOUND_VARIABLE_376223 BOUND_VARIABLE_297357)) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_376223) BOUND_VARIABLE_297359))))))) (let ((_let_12843 (forall ((BOUND_VARIABLE_297342 Bool) (BOUND_VARIABLE_376243 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_297344 tptp.set_o) (BOUND_VARIABLE_297345 Bool)) (= (ho_5499 (ho_7764 (ho_7763 (ho_7937 k_8078 BOUND_VARIABLE_297342) BOUND_VARIABLE_376243) BOUND_VARIABLE_297344) BOUND_VARIABLE_297345) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_297345) (ho_5499 BOUND_VARIABLE_376243 BOUND_VARIABLE_297342)) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_376243) BOUND_VARIABLE_297344))))))) (let ((_let_12844 (forall ((BOUND_VARIABLE_376262 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_297330 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297331 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_8079 BOUND_VARIABLE_376262) BOUND_VARIABLE_297330) BOUND_VARIABLE_297331) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297331)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_376262) BOUND_VARIABLE_297330))))))) (let ((_let_12845 (forall ((BOUND_VARIABLE_297281 tptp.product_prod_nat_nat) (BOUND_VARIABLE_376276 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_297283 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297284 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297284)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5727 (ho_5809 k_5864 BOUND_VARIABLE_297281) BOUND_VARIABLE_376276) BOUND_VARIABLE_297283)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_4985 (ho_7914 k_8080 BOUND_VARIABLE_297281) BOUND_VARIABLE_376276) BOUND_VARIABLE_297283) BOUND_VARIABLE_297284))))) (let ((_let_12846 (forall ((BOUND_VARIABLE_376301 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_297269 tptp.set_int) (BOUND_VARIABLE_297270 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_8081 BOUND_VARIABLE_376301) BOUND_VARIABLE_297269) BOUND_VARIABLE_297270) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297270)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_376301) BOUND_VARIABLE_297269))))))) (let ((_let_12847 (forall ((BOUND_VARIABLE_297219 tptp.int) (BOUND_VARIABLE_376315 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_297221 tptp.set_int) (BOUND_VARIABLE_297222 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297222)) (ho_4699 (ho_4698 k_4697 (ho_5852 (ho_5851 (ho_5850 k_5865 BOUND_VARIABLE_297219) BOUND_VARIABLE_376315) BOUND_VARIABLE_297221)) tptp.top_top_set_o))) (ho_4593 (ho_5080 (ho_5079 (ho_8042 k_8082 BOUND_VARIABLE_297219) BOUND_VARIABLE_376315) BOUND_VARIABLE_297221) BOUND_VARIABLE_297222))))) (let ((_let_12848 (forall ((BOUND_VARIABLE_376340 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_297207 tptp.set_nat) (BOUND_VARIABLE_297208 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8083 BOUND_VARIABLE_376340) BOUND_VARIABLE_297207) BOUND_VARIABLE_297208) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297208)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_376340) BOUND_VARIABLE_297207))))))) (let ((_let_12849 (forall ((BOUND_VARIABLE_297158 tptp.nat) (BOUND_VARIABLE_376354 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_297160 tptp.set_nat) (BOUND_VARIABLE_297161 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297161)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5815 k_5866 BOUND_VARIABLE_297158) BOUND_VARIABLE_376354) BOUND_VARIABLE_297160)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_8084 BOUND_VARIABLE_297158) BOUND_VARIABLE_376354) BOUND_VARIABLE_297160) BOUND_VARIABLE_297161))))) (let ((_let_12850 (forall ((BOUND_VARIABLE_376379 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_297146 tptp.set_o) (BOUND_VARIABLE_297147 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8085 BOUND_VARIABLE_376379) BOUND_VARIABLE_297146) BOUND_VARIABLE_297147) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297147)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_376379) BOUND_VARIABLE_297146))))))) (let ((_let_12851 (forall ((BOUND_VARIABLE_297097 Bool) (BOUND_VARIABLE_376393 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_297099 tptp.set_o) (BOUND_VARIABLE_297100 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_297100)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5811 k_5867 BOUND_VARIABLE_297097) BOUND_VARIABLE_376393) BOUND_VARIABLE_297099)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7917 k_8086 BOUND_VARIABLE_297097) BOUND_VARIABLE_376393) BOUND_VARIABLE_297099) BOUND_VARIABLE_297100))))) (let ((_let_12852 (forall ((BOUND_VARIABLE_297089 tptp.nat) (BOUND_VARIABLE_297090 tptp.nat)) (= (ho_4518 (ho_4517 k_8087 BOUND_VARIABLE_297089) BOUND_VARIABLE_297090) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_297090) BOUND_VARIABLE_297089))))) (let ((_let_12853 (forall ((BOUND_VARIABLE_297081 tptp.num) (BOUND_VARIABLE_297082 tptp.nat)) (= (ho_8090 (ho_8089 k_8088 BOUND_VARIABLE_297081) BOUND_VARIABLE_297082) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_297082) BOUND_VARIABLE_297081))))) (let ((_let_12854 (forall ((BOUND_VARIABLE_297073 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297074 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 (ho_4497 k_8091 BOUND_VARIABLE_297073) BOUND_VARIABLE_297074) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_297074) BOUND_VARIABLE_297073))))) (let ((_let_12855 (forall ((BOUND_VARIABLE_297065 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_297066 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 (ho_6282 k_8092 BOUND_VARIABLE_297065) BOUND_VARIABLE_297066) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_297066) BOUND_VARIABLE_297065))))) (let ((_let_12856 (forall ((BOUND_VARIABLE_376463 |u_(-> tptp.int tptp.rat)|) (BOUND_VARIABLE_297029 tptp.int) (BOUND_VARIABLE_297030 tptp.rat) (BOUND_VARIABLE_297031 tptp.nat) (BOUND_VARIABLE_297032 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 (ho_6617 BOUND_VARIABLE_376463 BOUND_VARIABLE_297029)))) (ho_5531 k_5532 (ho_8094 k_8093 BOUND_VARIABLE_297030)))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_297032)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_297031) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_8098 (ho_8097 (ho_8096 k_8095 BOUND_VARIABLE_376463) BOUND_VARIABLE_297029) BOUND_VARIABLE_297030) BOUND_VARIABLE_297031) BOUND_VARIABLE_297032)))))) (let ((_let_12857 (forall ((BOUND_VARIABLE_376504 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_296992 tptp.nat) (BOUND_VARIABLE_296993 tptp.rat) (BOUND_VARIABLE_296994 tptp.nat) (BOUND_VARIABLE_296995 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 (ho_6357 BOUND_VARIABLE_376504 BOUND_VARIABLE_296992)))) (ho_5531 k_5532 (ho_8094 k_8093 BOUND_VARIABLE_296993)))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296995)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296994) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_8098 (ho_8101 (ho_8100 k_8099 BOUND_VARIABLE_376504) BOUND_VARIABLE_296992) BOUND_VARIABLE_296993) BOUND_VARIABLE_296994) BOUND_VARIABLE_296995)))))) (let ((_let_12858 (forall ((BOUND_VARIABLE_376542 |u_(-> Bool tptp.rat)|) (BOUND_VARIABLE_296955 Bool) (BOUND_VARIABLE_296956 tptp.rat) (BOUND_VARIABLE_296957 tptp.nat) (BOUND_VARIABLE_296958 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 (ho_7177 BOUND_VARIABLE_376542 BOUND_VARIABLE_296955)))) (ho_5531 k_5532 (ho_8094 k_8093 BOUND_VARIABLE_296956)))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296958)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296957) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_8098 (ho_8104 (ho_8103 k_8102 BOUND_VARIABLE_376542) BOUND_VARIABLE_296955) BOUND_VARIABLE_296956) BOUND_VARIABLE_296957) BOUND_VARIABLE_296958)))))) (let ((_let_12859 (forall ((BOUND_VARIABLE_376578 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_296930 tptp.int) (BOUND_VARIABLE_296931 tptp.nat) (BOUND_VARIABLE_296932 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_376578 BOUND_VARIABLE_296930)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296932)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296931) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_8105 BOUND_VARIABLE_376578) BOUND_VARIABLE_296930) BOUND_VARIABLE_296931) BOUND_VARIABLE_296932)))))) (let ((_let_12860 (forall ((BOUND_VARIABLE_376601 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_296905 tptp.nat) (BOUND_VARIABLE_296906 tptp.nat) (BOUND_VARIABLE_296907 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_376601 BOUND_VARIABLE_296905)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296907)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296906) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_8106 BOUND_VARIABLE_376601) BOUND_VARIABLE_296905) BOUND_VARIABLE_296906) BOUND_VARIABLE_296907)))))) (let ((_let_12861 (forall ((BOUND_VARIABLE_376624 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_296880 Bool) (BOUND_VARIABLE_296881 tptp.nat) (BOUND_VARIABLE_296882 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_376624 BOUND_VARIABLE_296880)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296882)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296881) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_8107 BOUND_VARIABLE_376624) BOUND_VARIABLE_296880) BOUND_VARIABLE_296881) BOUND_VARIABLE_296882)))))) (let ((_let_12862 (forall ((BOUND_VARIABLE_296842 tptp.rat) (BOUND_VARIABLE_376647 |u_(-> tptp.int tptp.rat)|) (BOUND_VARIABLE_296844 tptp.int) (BOUND_VARIABLE_296845 tptp.nat) (BOUND_VARIABLE_296846 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 BOUND_VARIABLE_296842))) (ho_5531 k_5532 (ho_8094 k_8093 (ho_6617 BOUND_VARIABLE_376647 BOUND_VARIABLE_296844))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296846)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296845) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_8110 (ho_8109 k_8108 BOUND_VARIABLE_296842) BOUND_VARIABLE_376647) BOUND_VARIABLE_296844) BOUND_VARIABLE_296845) BOUND_VARIABLE_296846)))))) (let ((_let_12863 (forall ((BOUND_VARIABLE_296805 tptp.rat) (BOUND_VARIABLE_376686 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_296807 tptp.nat) (BOUND_VARIABLE_296808 tptp.nat) (BOUND_VARIABLE_296809 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 BOUND_VARIABLE_296805))) (ho_5531 k_5532 (ho_8094 k_8093 (ho_6357 BOUND_VARIABLE_376686 BOUND_VARIABLE_296807))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296809)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296808) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_8113 (ho_8112 k_8111 BOUND_VARIABLE_296805) BOUND_VARIABLE_376686) BOUND_VARIABLE_296807) BOUND_VARIABLE_296808) BOUND_VARIABLE_296809)))))) (let ((_let_12864 (forall ((BOUND_VARIABLE_296768 tptp.rat) (BOUND_VARIABLE_376725 |u_(-> Bool tptp.rat)|) (BOUND_VARIABLE_296770 Bool) (BOUND_VARIABLE_296771 tptp.nat) (BOUND_VARIABLE_296772 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 BOUND_VARIABLE_296768))) (ho_5531 k_5532 (ho_8094 k_8093 (ho_7177 BOUND_VARIABLE_376725 BOUND_VARIABLE_296770))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296772)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296771) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_8116 (ho_8115 k_8114 BOUND_VARIABLE_296768) BOUND_VARIABLE_376725) BOUND_VARIABLE_296770) BOUND_VARIABLE_296771) BOUND_VARIABLE_296772)))))) (let ((_let_12865 (forall ((BOUND_VARIABLE_296745 tptp.int) (BOUND_VARIABLE_296746 tptp.nat) (BOUND_VARIABLE_296747 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_296745))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296747)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296746) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_8117 BOUND_VARIABLE_296745) BOUND_VARIABLE_296746) BOUND_VARIABLE_296747)))))) (let ((_let_12866 (forall ((BOUND_VARIABLE_296722 tptp.int) (BOUND_VARIABLE_296723 tptp.nat) (BOUND_VARIABLE_296724 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_296722))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296724)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296723) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_8118 BOUND_VARIABLE_296722) BOUND_VARIABLE_296723) BOUND_VARIABLE_296724)))))) (let ((_let_12867 (forall ((BOUND_VARIABLE_296699 tptp.int) (BOUND_VARIABLE_296700 tptp.nat) (BOUND_VARIABLE_296701 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_296699))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296701)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296700) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_8119 BOUND_VARIABLE_296699) BOUND_VARIABLE_296700) BOUND_VARIABLE_296701)))))) (let ((_let_12868 (forall ((BOUND_VARIABLE_296662 tptp.rat) (BOUND_VARIABLE_376818 |u_(-> tptp.int tptp.rat)|) (BOUND_VARIABLE_296664 tptp.int) (BOUND_VARIABLE_296665 tptp.nat) (BOUND_VARIABLE_296666 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 BOUND_VARIABLE_296662))) (ho_5531 k_5532 (ho_8094 k_8093 (ho_6617 BOUND_VARIABLE_376818 BOUND_VARIABLE_296664))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296666)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296665) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_8110 (ho_8109 k_8120 BOUND_VARIABLE_296662) BOUND_VARIABLE_376818) BOUND_VARIABLE_296664) BOUND_VARIABLE_296665) BOUND_VARIABLE_296666)))))) (let ((_let_12869 (forall ((BOUND_VARIABLE_296625 tptp.rat) (BOUND_VARIABLE_376849 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_296627 tptp.nat) (BOUND_VARIABLE_296628 tptp.nat) (BOUND_VARIABLE_296629 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 BOUND_VARIABLE_296625))) (ho_5531 k_5532 (ho_8094 k_8093 (ho_6357 BOUND_VARIABLE_376849 BOUND_VARIABLE_296627))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296629)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296628) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_8113 (ho_8112 k_8121 BOUND_VARIABLE_296625) BOUND_VARIABLE_376849) BOUND_VARIABLE_296627) BOUND_VARIABLE_296628) BOUND_VARIABLE_296629)))))) (let ((_let_12870 (forall ((BOUND_VARIABLE_296588 tptp.rat) (BOUND_VARIABLE_376880 |u_(-> Bool tptp.rat)|) (BOUND_VARIABLE_296590 Bool) (BOUND_VARIABLE_296591 tptp.nat) (BOUND_VARIABLE_296592 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_5420) (ho_5531 k_5530 (ho_8094 k_8093 BOUND_VARIABLE_296588))) (ho_5531 k_5532 (ho_8094 k_8093 (ho_7177 BOUND_VARIABLE_376880 BOUND_VARIABLE_296590))))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296592)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296591) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_8116 (ho_8115 k_8122 BOUND_VARIABLE_296588) BOUND_VARIABLE_376880) BOUND_VARIABLE_296590) BOUND_VARIABLE_296591) BOUND_VARIABLE_296592)))))) (let ((_let_12871 (forall ((BOUND_VARIABLE_296542 tptp.product_prod_nat_nat) (BOUND_VARIABLE_296543 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 k_5868 BOUND_VARIABLE_296542)) BOUND_VARIABLE_296543) (ho_6605 (ho_5421 k_5420 BOUND_VARIABLE_296542) BOUND_VARIABLE_296543))))) (let ((_let_12872 (forall ((BOUND_VARIABLE_296519 tptp.int) (BOUND_VARIABLE_296520 tptp.nat) (BOUND_VARIABLE_296521 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_296519))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296521)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296520) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_8123 BOUND_VARIABLE_296519) BOUND_VARIABLE_296520) BOUND_VARIABLE_296521)))))) (let ((_let_12873 (forall ((BOUND_VARIABLE_296496 tptp.int) (BOUND_VARIABLE_296497 tptp.nat) (BOUND_VARIABLE_296498 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_296496))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296498)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296497) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_8124 BOUND_VARIABLE_296496) BOUND_VARIABLE_296497) BOUND_VARIABLE_296498)))))) (let ((_let_12874 (forall ((BOUND_VARIABLE_296473 tptp.int) (BOUND_VARIABLE_296474 tptp.nat) (BOUND_VARIABLE_296475 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_296473))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_296475)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_296474) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_8125 BOUND_VARIABLE_296473) BOUND_VARIABLE_296474) BOUND_VARIABLE_296475)))))) (let ((_let_12875 (forall ((BOUND_VARIABLE_296433 tptp.set_nat) (BOUND_VARIABLE_296434 tptp.set_set_nat) (BOUND_VARIABLE_296435 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_296435)) (ho_4699 (ho_4698 k_4697 (ho_5836 (ho_5835 k_5869 BOUND_VARIABLE_296433) BOUND_VARIABLE_296434)) tptp.top_top_set_o))) (ho_4593 (ho_5067 (ho_7979 k_8126 BOUND_VARIABLE_296433) BOUND_VARIABLE_296434) BOUND_VARIABLE_296435))))) (let ((_let_12876 (forall ((BOUND_VARIABLE_296390 tptp.set_nat) (BOUND_VARIABLE_296391 tptp.set_set_nat) (BOUND_VARIABLE_296392 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_296392)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_5870 BOUND_VARIABLE_296390)) BOUND_VARIABLE_296391))) (ho_4593 (ho_5067 (ho_7979 k_8127 BOUND_VARIABLE_296390) BOUND_VARIABLE_296391) BOUND_VARIABLE_296392))))) (let ((_let_12877 (forall ((BOUND_VARIABLE_296350 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_296351 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_296352 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_296352)) (ho_4959 (ho_4958 k_4957 (ho_5840 (ho_5839 k_5871 BOUND_VARIABLE_296350) BOUND_VARIABLE_296351)) tptp.top_top_set_o))) (ho_4544 (ho_5072 (ho_7994 k_8128 BOUND_VARIABLE_296350) BOUND_VARIABLE_296351) BOUND_VARIABLE_296352))))) (let ((_let_12878 (forall ((BOUND_VARIABLE_296307 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_296308 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_296309 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_5068 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_296309)) (ho_7997 (ho_7996 k_7995 (ho_4622 k_5872 BOUND_VARIABLE_296307)) BOUND_VARIABLE_296308))) (ho_4544 (ho_5072 (ho_7994 k_8129 BOUND_VARIABLE_296307) BOUND_VARIABLE_296308) BOUND_VARIABLE_296309))))) (let ((_let_12879 (forall ((BOUND_VARIABLE_296296 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_296297 tptp.set_se6425085446898223655at_nat) (BOUND_VARIABLE_296298 Bool)) (= (ho_5499 (ho_8001 (ho_8000 k_8130 BOUND_VARIABLE_296296) BOUND_VARIABLE_296297) BOUND_VARIABLE_296298) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_296298) BOUND_VARIABLE_296296) (ho_5504 k_8002 BOUND_VARIABLE_296297)))))) (let ((_let_12880 (forall ((BOUND_VARIABLE_296270 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_296271 tptp.set_Pr8693737435421807431at_nat)) (= (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5873 BOUND_VARIABLE_296270) BOUND_VARIABLE_296271)) tptp.top_top_set_o)) (ho_5556 (ho_5555 k_8131 BOUND_VARIABLE_296270) BOUND_VARIABLE_296271))))) (let ((_let_12881 (forall ((BOUND_VARIABLE_296260 tptp.set_set_nat) (BOUND_VARIABLE_296261 tptp.nat)) (= (ho_4593 (ho_5067 k_8132 BOUND_VARIABLE_296260) BOUND_VARIABLE_296261) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_296261)) BOUND_VARIABLE_296260)))))) (let ((_let_12882 (forall ((BOUND_VARIABLE_296246 tptp.set_nat) (BOUND_VARIABLE_296247 tptp.set_set_nat) (BOUND_VARIABLE_296248 tptp.nat)) (= (ho_4593 (ho_5067 (ho_7979 k_8133 BOUND_VARIABLE_296246) BOUND_VARIABLE_296247) BOUND_VARIABLE_296248) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_296248)) (ho_6952 (ho_6951 k_6950 (ho_4559 k_4928 BOUND_VARIABLE_296246)) BOUND_VARIABLE_296247))))))) (let ((_let_12883 (forall ((BOUND_VARIABLE_296236 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_296237 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 k_8134 BOUND_VARIABLE_296236) BOUND_VARIABLE_296237) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_296237)) BOUND_VARIABLE_296236)))))) (let ((_let_12884 (forall ((BOUND_VARIABLE_296222 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_296223 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_296224 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6221 (ho_7984 k_8135 BOUND_VARIABLE_296222) BOUND_VARIABLE_296223) BOUND_VARIABLE_296224) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_296224)) (ho_5160 (ho_7982 k_7981 (ho_5638 k_5637 BOUND_VARIABLE_296222)) BOUND_VARIABLE_296223))))))) (let ((_let_12885 (forall ((BOUND_VARIABLE_377123 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377122 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_296215 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_8136 BOUND_VARIABLE_377123) BOUND_VARIABLE_377122) BOUND_VARIABLE_296215) (ho_4891 BOUND_VARIABLE_377123 (ho_4914 BOUND_VARIABLE_377122 BOUND_VARIABLE_296215)))))) (let ((_let_12886 (forall ((BOUND_VARIABLE_377137 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_377136 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_296206 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_8137 BOUND_VARIABLE_377137) BOUND_VARIABLE_377136) BOUND_VARIABLE_296206) (ho_6671 BOUND_VARIABLE_377137 (ho_4891 BOUND_VARIABLE_377136 BOUND_VARIABLE_296206)))))) (let ((_let_12887 (forall ((BOUND_VARIABLE_377151 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_377150 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_296197 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8138 BOUND_VARIABLE_377151) BOUND_VARIABLE_377150) BOUND_VARIABLE_296197) (ho_4855 BOUND_VARIABLE_377151 (ho_4855 BOUND_VARIABLE_377150 BOUND_VARIABLE_296197)))))) (let ((_let_12888 (forall ((BOUND_VARIABLE_377165 |u_(-> Bool Bool)|) (BOUND_VARIABLE_377164 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_296188 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_8139 BOUND_VARIABLE_377165) BOUND_VARIABLE_377164) BOUND_VARIABLE_296188) (ho_5235 BOUND_VARIABLE_377165 (ho_4593 BOUND_VARIABLE_377164 BOUND_VARIABLE_296188)))))) (let ((_let_12889 (forall ((BOUND_VARIABLE_377180 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_377179 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_296177 tptp.code_integer) (BOUND_VARIABLE_296178 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_8140 BOUND_VARIABLE_377180) BOUND_VARIABLE_377179) BOUND_VARIABLE_296177) BOUND_VARIABLE_296178) (ho_5405 (ho_5413 BOUND_VARIABLE_377180 (ho_5398 BOUND_VARIABLE_377179 BOUND_VARIABLE_296177)) BOUND_VARIABLE_296178))))) (let ((_let_12890 (forall ((BOUND_VARIABLE_377196 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377195 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_296168 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_8141 BOUND_VARIABLE_377196) BOUND_VARIABLE_377195) BOUND_VARIABLE_296168) (ho_4891 BOUND_VARIABLE_377196 (ho_4914 BOUND_VARIABLE_377195 BOUND_VARIABLE_296168)))))) (let ((_let_12891 (forall ((BOUND_VARIABLE_377210 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_377209 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_296159 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_8142 BOUND_VARIABLE_377210) BOUND_VARIABLE_377209) BOUND_VARIABLE_296159) (ho_6671 BOUND_VARIABLE_377210 (ho_4891 BOUND_VARIABLE_377209 BOUND_VARIABLE_296159)))))) (let ((_let_12892 (forall ((BOUND_VARIABLE_377224 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_377223 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_296150 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8143 BOUND_VARIABLE_377224) BOUND_VARIABLE_377223) BOUND_VARIABLE_296150) (ho_4855 BOUND_VARIABLE_377224 (ho_4855 BOUND_VARIABLE_377223 BOUND_VARIABLE_296150)))))) (let ((_let_12893 (forall ((BOUND_VARIABLE_377239 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_377238 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_296139 tptp.code_integer) (BOUND_VARIABLE_296140 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_8144 BOUND_VARIABLE_377239) BOUND_VARIABLE_377238) BOUND_VARIABLE_296139) BOUND_VARIABLE_296140) (ho_5405 (ho_5413 BOUND_VARIABLE_377239 (ho_5398 BOUND_VARIABLE_377238 BOUND_VARIABLE_296139)) BOUND_VARIABLE_296140))))) (let ((_let_12894 (forall ((BOUND_VARIABLE_377255 |u_(-> Bool Bool)|) (BOUND_VARIABLE_377254 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_296130 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_8145 BOUND_VARIABLE_377255) BOUND_VARIABLE_377254) BOUND_VARIABLE_296130) (ho_5235 BOUND_VARIABLE_377255 (ho_4593 BOUND_VARIABLE_377254 BOUND_VARIABLE_296130)))))) (let ((_let_12895 (forall ((BOUND_VARIABLE_377269 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377268 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_296121 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_8146 BOUND_VARIABLE_377269) BOUND_VARIABLE_377268) BOUND_VARIABLE_296121) (ho_4891 BOUND_VARIABLE_377269 (ho_4914 BOUND_VARIABLE_377268 BOUND_VARIABLE_296121)))))) (let ((_let_12896 (forall ((BOUND_VARIABLE_377283 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_377282 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_296112 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_8147 BOUND_VARIABLE_377283) BOUND_VARIABLE_377282) BOUND_VARIABLE_296112) (ho_6671 BOUND_VARIABLE_377283 (ho_4891 BOUND_VARIABLE_377282 BOUND_VARIABLE_296112)))))) (let ((_let_12897 (forall ((BOUND_VARIABLE_377297 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_377296 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_296103 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8148 BOUND_VARIABLE_377297) BOUND_VARIABLE_377296) BOUND_VARIABLE_296103) (ho_4855 BOUND_VARIABLE_377297 (ho_4855 BOUND_VARIABLE_377296 BOUND_VARIABLE_296103)))))) (let ((_let_12898 (forall ((BOUND_VARIABLE_377312 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_377311 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_296092 tptp.code_integer) (BOUND_VARIABLE_296093 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_8149 BOUND_VARIABLE_377312) BOUND_VARIABLE_377311) BOUND_VARIABLE_296092) BOUND_VARIABLE_296093) (ho_5405 (ho_5413 BOUND_VARIABLE_377312 (ho_5398 BOUND_VARIABLE_377311 BOUND_VARIABLE_296092)) BOUND_VARIABLE_296093))))) (let ((_let_12899 (forall ((BOUND_VARIABLE_377328 |u_(-> Bool Bool)|) (BOUND_VARIABLE_377327 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_296083 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_8150 BOUND_VARIABLE_377328) BOUND_VARIABLE_377327) BOUND_VARIABLE_296083) (ho_5235 BOUND_VARIABLE_377328 (ho_4593 BOUND_VARIABLE_377327 BOUND_VARIABLE_296083)))))) (let ((_let_12900 (forall ((BOUND_VARIABLE_377342 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377341 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_296074 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_8151 BOUND_VARIABLE_377342) BOUND_VARIABLE_377341) BOUND_VARIABLE_296074) (ho_4891 BOUND_VARIABLE_377342 (ho_4914 BOUND_VARIABLE_377341 BOUND_VARIABLE_296074)))))) (let ((_let_12901 (forall ((BOUND_VARIABLE_377356 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_377355 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_296065 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_8152 BOUND_VARIABLE_377356) BOUND_VARIABLE_377355) BOUND_VARIABLE_296065) (ho_6671 BOUND_VARIABLE_377356 (ho_4891 BOUND_VARIABLE_377355 BOUND_VARIABLE_296065)))))) (let ((_let_12902 (forall ((BOUND_VARIABLE_377370 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_377369 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_296056 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8153 BOUND_VARIABLE_377370) BOUND_VARIABLE_377369) BOUND_VARIABLE_296056) (ho_4855 BOUND_VARIABLE_377370 (ho_4855 BOUND_VARIABLE_377369 BOUND_VARIABLE_296056)))))) (let ((_let_12903 (forall ((BOUND_VARIABLE_377385 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_377384 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_296045 tptp.code_integer) (BOUND_VARIABLE_296046 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_8154 BOUND_VARIABLE_377385) BOUND_VARIABLE_377384) BOUND_VARIABLE_296045) BOUND_VARIABLE_296046) (ho_5405 (ho_5413 BOUND_VARIABLE_377385 (ho_5398 BOUND_VARIABLE_377384 BOUND_VARIABLE_296045)) BOUND_VARIABLE_296046))))) (let ((_let_12904 (forall ((BOUND_VARIABLE_377401 |u_(-> Bool Bool)|) (BOUND_VARIABLE_377400 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_296036 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_8155 BOUND_VARIABLE_377401) BOUND_VARIABLE_377400) BOUND_VARIABLE_296036) (ho_5235 BOUND_VARIABLE_377401 (ho_4593 BOUND_VARIABLE_377400 BOUND_VARIABLE_296036)))))) (let ((_let_12905 (forall ((BOUND_VARIABLE_377415 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_296019 tptp.product_unit) (BOUND_VARIABLE_296020 tptp.set_Product_unit) (BOUND_VARIABLE_296021 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_8156 BOUND_VARIABLE_377415) BOUND_VARIABLE_296019) BOUND_VARIABLE_296020) BOUND_VARIABLE_296021) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_296021)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_377415) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_296019) BOUND_VARIABLE_296020)))))))) (let ((_let_12906 (forall ((BOUND_VARIABLE_377435 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_296006 tptp.set_Product_unit) (BOUND_VARIABLE_296007 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8157 BOUND_VARIABLE_377435) BOUND_VARIABLE_296006) BOUND_VARIABLE_296007) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_296007)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_377435) BOUND_VARIABLE_296006))))))) (let ((_let_12907 (forall ((BOUND_VARIABLE_377453 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295990 tptp.product_unit) (BOUND_VARIABLE_295991 tptp.set_Product_unit) (BOUND_VARIABLE_295992 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_8158 BOUND_VARIABLE_377453) BOUND_VARIABLE_295990) BOUND_VARIABLE_295991) BOUND_VARIABLE_295992) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295992)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_377453) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_295990) BOUND_VARIABLE_295991)))))))) (let ((_let_12908 (forall ((BOUND_VARIABLE_295941 tptp.product_unit) (BOUND_VARIABLE_377470 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295943 tptp.set_Product_unit) (BOUND_VARIABLE_295944 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295944)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5813 k_5874 BOUND_VARIABLE_295941) BOUND_VARIABLE_377470) BOUND_VARIABLE_295943)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_7920 k_8159 BOUND_VARIABLE_295941) BOUND_VARIABLE_377470) BOUND_VARIABLE_295943) BOUND_VARIABLE_295944))))) (let ((_let_12909 (forall ((BOUND_VARIABLE_377495 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_295929 tptp.set_nat) (BOUND_VARIABLE_295930 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8160 BOUND_VARIABLE_377495) BOUND_VARIABLE_295929) BOUND_VARIABLE_295930) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295930)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_377495) BOUND_VARIABLE_295929))))))) (let ((_let_12910 (forall ((BOUND_VARIABLE_377512 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_295916 tptp.set_nat) (BOUND_VARIABLE_295917 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8161 BOUND_VARIABLE_377512) BOUND_VARIABLE_295916) BOUND_VARIABLE_295917) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295917)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_377512) BOUND_VARIABLE_295916))))))) (let ((_let_12911 (forall ((BOUND_VARIABLE_377529 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295903 tptp.set_o) (BOUND_VARIABLE_295904 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8162 BOUND_VARIABLE_377529) BOUND_VARIABLE_295903) BOUND_VARIABLE_295904) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295904)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_377529) BOUND_VARIABLE_295903))))))) (let ((_let_12912 (forall ((BOUND_VARIABLE_377546 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295890 tptp.set_o) (BOUND_VARIABLE_295891 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8163 BOUND_VARIABLE_377546) BOUND_VARIABLE_295890) BOUND_VARIABLE_295891) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295891)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_377546) BOUND_VARIABLE_295890))))))) (let ((_let_12913 (forall ((BOUND_VARIABLE_377562 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295878 tptp.nat)) (= (ho_4593 (ho_4997 k_8164 BOUND_VARIABLE_377562) BOUND_VARIABLE_295878) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295878)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_377562) tptp.top_top_set_o))))))) (let ((_let_12914 (forall ((BOUND_VARIABLE_377577 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295866 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7650 k_8165 BOUND_VARIABLE_377577) BOUND_VARIABLE_295866) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295866)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_377577) tptp.top_top_set_o))))))) (let ((_let_12915 (forall ((BOUND_VARIABLE_377593 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295853 tptp.set_Product_unit) (BOUND_VARIABLE_295854 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8166 BOUND_VARIABLE_377593) BOUND_VARIABLE_295853) BOUND_VARIABLE_295854) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295854)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_377593) BOUND_VARIABLE_295853))))))) (let ((_let_12916 (forall ((BOUND_VARIABLE_377610 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295840 tptp.set_Product_unit) (BOUND_VARIABLE_295841 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8167 BOUND_VARIABLE_377610) BOUND_VARIABLE_295840) BOUND_VARIABLE_295841) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295841)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_377610) BOUND_VARIABLE_295840))))))) (let ((_let_12917 (forall ((BOUND_VARIABLE_377625 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_377624 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295805 tptp.set_Product_unit) (BOUND_VARIABLE_295806 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295806)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5876 k_5875 BOUND_VARIABLE_377625) BOUND_VARIABLE_377624)) BOUND_VARIABLE_295805))) (ho_4593 (ho_5009 (ho_5008 (ho_8169 k_8168 BOUND_VARIABLE_377625) BOUND_VARIABLE_377624) BOUND_VARIABLE_295805) BOUND_VARIABLE_295806))))) (let ((_let_12918 (forall ((BOUND_VARIABLE_377654 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_377653 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_295794 tptp.nat)) (= (ho_4925 (ho_6796 (ho_8171 k_8170 BOUND_VARIABLE_377654) BOUND_VARIABLE_377653) BOUND_VARIABLE_295794) (ho_4914 (ho_5432 k_8172 (ho_4925 BOUND_VARIABLE_377654 BOUND_VARIABLE_295794)) (ho_4925 BOUND_VARIABLE_377653 BOUND_VARIABLE_295794)))))) (let ((_let_12919 (forall ((BOUND_VARIABLE_377675 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_377674 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_295783 Bool)) (= (ho_6094 (ho_8175 (ho_8174 k_8173 BOUND_VARIABLE_377675) BOUND_VARIABLE_377674) BOUND_VARIABLE_295783) (ho_4914 (ho_5432 k_8172 (ho_6094 BOUND_VARIABLE_377675 BOUND_VARIABLE_295783)) (ho_6094 BOUND_VARIABLE_377674 BOUND_VARIABLE_295783)))))) (let ((_let_12920 (forall ((BOUND_VARIABLE_377698 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_377697 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_295772 tptp.product_unit)) (= (ho_6102 (ho_8178 (ho_8177 k_8176 BOUND_VARIABLE_377698) BOUND_VARIABLE_377697) BOUND_VARIABLE_295772) (ho_4914 (ho_5432 k_8172 (ho_6102 BOUND_VARIABLE_377698 BOUND_VARIABLE_295772)) (ho_6102 BOUND_VARIABLE_377697 BOUND_VARIABLE_295772)))))) (let ((_let_12921 (forall ((BOUND_VARIABLE_377721 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_377720 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_295761 tptp.int)) (= (ho_4914 (ho_8181 (ho_8180 k_8179 BOUND_VARIABLE_377721) BOUND_VARIABLE_377720) BOUND_VARIABLE_295761) (ho_4914 (ho_5432 k_8172 (ho_4914 BOUND_VARIABLE_377721 BOUND_VARIABLE_295761)) (ho_4914 BOUND_VARIABLE_377720 BOUND_VARIABLE_295761)))))) (let ((_let_12922 (forall ((BOUND_VARIABLE_377744 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_377743 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_295750 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8182 BOUND_VARIABLE_377744) BOUND_VARIABLE_377743) BOUND_VARIABLE_295750) (ho_4855 (ho_5457 k_8183 (ho_4855 BOUND_VARIABLE_377744 BOUND_VARIABLE_295750)) (ho_4855 BOUND_VARIABLE_377743 BOUND_VARIABLE_295750)))))) (let ((_let_12923 (forall ((BOUND_VARIABLE_377761 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377760 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_295739 tptp.int)) (= (ho_4891 (ho_6935 (ho_8185 k_8184 BOUND_VARIABLE_377761) BOUND_VARIABLE_377760) BOUND_VARIABLE_295739) (ho_4855 (ho_5457 k_8183 (ho_4891 BOUND_VARIABLE_377761 BOUND_VARIABLE_295739)) (ho_4891 BOUND_VARIABLE_377760 BOUND_VARIABLE_295739)))))) (let ((_let_12924 (forall ((BOUND_VARIABLE_377778 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_377777 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295680 tptp.set_Product_unit) (BOUND_VARIABLE_295681 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295681)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5878 k_5877 BOUND_VARIABLE_377778) BOUND_VARIABLE_377777) BOUND_VARIABLE_295680)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_8169 k_8186 BOUND_VARIABLE_377778) BOUND_VARIABLE_377777) BOUND_VARIABLE_295680) BOUND_VARIABLE_295681))))) (let ((_let_12925 (forall ((BOUND_VARIABLE_377801 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_377800 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_295629 tptp.set_Product_unit) (BOUND_VARIABLE_295630 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295630)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5876 k_5879 BOUND_VARIABLE_377801) BOUND_VARIABLE_377800)) BOUND_VARIABLE_295629))) (ho_4593 (ho_5009 (ho_5008 (ho_8169 k_8187 BOUND_VARIABLE_377801) BOUND_VARIABLE_377800) BOUND_VARIABLE_295629) BOUND_VARIABLE_295630))))) (let ((_let_12926 (forall ((BOUND_VARIABLE_377826 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_377825 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_295618 tptp.nat)) (= (ho_4925 (ho_6796 (ho_8171 k_8188 BOUND_VARIABLE_377826) BOUND_VARIABLE_377825) BOUND_VARIABLE_295618) (ho_4914 (ho_5432 k_8189 (ho_4925 BOUND_VARIABLE_377826 BOUND_VARIABLE_295618)) (ho_4925 BOUND_VARIABLE_377825 BOUND_VARIABLE_295618)))))) (let ((_let_12927 (forall ((BOUND_VARIABLE_377843 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_377842 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_295607 Bool)) (= (ho_6094 (ho_8175 (ho_8174 k_8190 BOUND_VARIABLE_377843) BOUND_VARIABLE_377842) BOUND_VARIABLE_295607) (ho_4914 (ho_5432 k_8189 (ho_6094 BOUND_VARIABLE_377843 BOUND_VARIABLE_295607)) (ho_6094 BOUND_VARIABLE_377842 BOUND_VARIABLE_295607)))))) (let ((_let_12928 (forall ((BOUND_VARIABLE_377859 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_377858 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_295596 tptp.product_unit)) (= (ho_6102 (ho_8178 (ho_8177 k_8191 BOUND_VARIABLE_377859) BOUND_VARIABLE_377858) BOUND_VARIABLE_295596) (ho_4914 (ho_5432 k_8189 (ho_6102 BOUND_VARIABLE_377859 BOUND_VARIABLE_295596)) (ho_6102 BOUND_VARIABLE_377858 BOUND_VARIABLE_295596)))))) (let ((_let_12929 (forall ((BOUND_VARIABLE_377875 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_377874 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_295585 tptp.int)) (= (ho_4914 (ho_8181 (ho_8180 k_8192 BOUND_VARIABLE_377875) BOUND_VARIABLE_377874) BOUND_VARIABLE_295585) (ho_4914 (ho_5432 k_8189 (ho_4914 BOUND_VARIABLE_377875 BOUND_VARIABLE_295585)) (ho_4914 BOUND_VARIABLE_377874 BOUND_VARIABLE_295585)))))) (let ((_let_12930 (forall ((BOUND_VARIABLE_377891 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_377890 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_295574 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8193 BOUND_VARIABLE_377891) BOUND_VARIABLE_377890) BOUND_VARIABLE_295574) (ho_4855 (ho_5457 k_8194 (ho_4855 BOUND_VARIABLE_377891 BOUND_VARIABLE_295574)) (ho_4855 BOUND_VARIABLE_377890 BOUND_VARIABLE_295574)))))) (let ((_let_12931 (forall ((BOUND_VARIABLE_377908 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377907 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_295563 tptp.int)) (= (ho_4891 (ho_6935 (ho_8185 k_8195 BOUND_VARIABLE_377908) BOUND_VARIABLE_377907) BOUND_VARIABLE_295563) (ho_4855 (ho_5457 k_8194 (ho_4891 BOUND_VARIABLE_377908 BOUND_VARIABLE_295563)) (ho_4891 BOUND_VARIABLE_377907 BOUND_VARIABLE_295563)))))) (let ((_let_12932 (forall ((BOUND_VARIABLE_377922 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295550 tptp.nat)) (= (ho_4593 (ho_4997 k_8196 BOUND_VARIABLE_377922) BOUND_VARIABLE_295550) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295550)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_377922) tptp.top_top_set_o))))))) (let ((_let_12933 (forall ((BOUND_VARIABLE_377935 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295518 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295518)) (ho_4699 (ho_4698 k_4697 (ho_5624 k_5880 BOUND_VARIABLE_377935)) tptp.top_top_set_o))) (ho_4593 (ho_4997 k_8197 BOUND_VARIABLE_377935) BOUND_VARIABLE_295518))))) (let ((_let_12934 (forall ((BOUND_VARIABLE_377953 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_295506 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4956 k_8198 BOUND_VARIABLE_377953) BOUND_VARIABLE_295506) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_295506)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_377953) tptp.top_top_set_o))))))) (let ((_let_12935 (forall ((BOUND_VARIABLE_377966 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_295474 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_295474)) (ho_4959 (ho_4958 k_4957 (ho_5687 k_5881 BOUND_VARIABLE_377966)) tptp.top_top_set_o))) (ho_4544 (ho_4956 k_8199 BOUND_VARIABLE_377966) BOUND_VARIABLE_295474))))) (let ((_let_12936 (forall ((BOUND_VARIABLE_377984 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_295463 Bool)) (= (ho_5499 (ho_7760 k_8200 BOUND_VARIABLE_377984) BOUND_VARIABLE_295463) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_295463) (ho_5499 BOUND_VARIABLE_377984 true)) (ho_5499 BOUND_VARIABLE_377984 false)))))) (let ((_let_12937 (forall ((BOUND_VARIABLE_378000 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_377999 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_295455 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_8201 BOUND_VARIABLE_378000) BOUND_VARIABLE_377999) BOUND_VARIABLE_295455) (ho_4891 BOUND_VARIABLE_378000 (ho_4914 BOUND_VARIABLE_377999 BOUND_VARIABLE_295455)))))) (let ((_let_12938 (forall ((BOUND_VARIABLE_378014 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_378013 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_295446 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8202 BOUND_VARIABLE_378014) BOUND_VARIABLE_378013) BOUND_VARIABLE_295446) (ho_4855 BOUND_VARIABLE_378014 (ho_4855 BOUND_VARIABLE_378013 BOUND_VARIABLE_295446)))))) (let ((_let_12939 (forall ((BOUND_VARIABLE_378028 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_378027 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_295437 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_8203 BOUND_VARIABLE_378028) BOUND_VARIABLE_378027) BOUND_VARIABLE_295437) (ho_6671 BOUND_VARIABLE_378028 (ho_4891 BOUND_VARIABLE_378027 BOUND_VARIABLE_295437)))))) (let ((_let_12940 (forall ((BOUND_VARIABLE_378043 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_378042 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_295426 tptp.code_integer) (BOUND_VARIABLE_295427 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_8204 BOUND_VARIABLE_378043) BOUND_VARIABLE_378042) BOUND_VARIABLE_295426) BOUND_VARIABLE_295427) (ho_5405 (ho_5413 BOUND_VARIABLE_378043 (ho_5398 BOUND_VARIABLE_378042 BOUND_VARIABLE_295426)) BOUND_VARIABLE_295427))))) (let ((_let_12941 (forall ((BOUND_VARIABLE_378059 |u_(-> Bool Bool)|) (BOUND_VARIABLE_378058 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_295417 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_8205 BOUND_VARIABLE_378059) BOUND_VARIABLE_378058) BOUND_VARIABLE_295417) (ho_5235 BOUND_VARIABLE_378059 (ho_4593 BOUND_VARIABLE_378058 BOUND_VARIABLE_295417)))))) (let ((_let_12942 (forall ((BOUND_VARIABLE_378071 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295404 tptp.nat)) (= (ho_4593 (ho_4997 k_8206 BOUND_VARIABLE_378071) BOUND_VARIABLE_295404) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295404)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_378071) tptp.top_top_set_o))))))) (let ((_let_12943 (forall ((BOUND_VARIABLE_378086 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295392 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7650 k_8207 BOUND_VARIABLE_378086) BOUND_VARIABLE_295392) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295392)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_378086) tptp.top_top_set_o))))))) (let ((_let_12944 (forall ((BOUND_VARIABLE_378101 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295380 tptp.nat)) (= (ho_4593 (ho_4997 k_8208 BOUND_VARIABLE_378101) BOUND_VARIABLE_295380) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295380)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_378101) tptp.top_top_set_o))))))) (let ((_let_12945 (forall ((BOUND_VARIABLE_378114 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_295348 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295348)) (ho_4699 (ho_4698 k_4697 (ho_5624 k_5882 BOUND_VARIABLE_378114)) tptp.top_top_set_o))) (ho_4593 (ho_4997 k_8209 BOUND_VARIABLE_378114) BOUND_VARIABLE_295348))))) (let ((_let_12946 (forall ((BOUND_VARIABLE_378132 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_295336 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4956 k_8210 BOUND_VARIABLE_378132) BOUND_VARIABLE_295336) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_295336)) (ho_4959 (ho_4958 k_4957 BOUND_VARIABLE_378132) tptp.top_top_set_o))))))) (let ((_let_12947 (forall ((BOUND_VARIABLE_378145 |u_(-> Bool tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_295303 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_295303)) (ho_4959 (ho_4958 k_4957 (ho_5687 k_5883 BOUND_VARIABLE_378145)) tptp.top_top_set_o))) (ho_4544 (ho_4956 k_8211 BOUND_VARIABLE_378145) BOUND_VARIABLE_295303))))) (let ((_let_12948 (forall ((BOUND_VARIABLE_378163 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_295292 Bool)) (= (ho_5499 (ho_7760 k_8212 BOUND_VARIABLE_378163) BOUND_VARIABLE_295292) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_295292) (ho_5499 BOUND_VARIABLE_378163 true)) (ho_5499 BOUND_VARIABLE_378163 false)))))) (let ((_let_12949 (forall ((BOUND_VARIABLE_378177 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_295283 tptp.int)) (= (ho_4604 (ho_7367 k_8213 BOUND_VARIABLE_378177) BOUND_VARIABLE_295283) (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_295283) (ho_4914 BOUND_VARIABLE_378177 BOUND_VARIABLE_295283)))))) (let ((_let_12950 (forall ((BOUND_VARIABLE_378189 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_295274 tptp.nat)) (= (ho_4518 (ho_8215 k_8214 BOUND_VARIABLE_378189) BOUND_VARIABLE_295274) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_295274) (ho_4855 BOUND_VARIABLE_378189 BOUND_VARIABLE_295274)))))) (let ((_let_12951 (forall ((BOUND_VARIABLE_378205 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_295265 tptp.nat)) (= (ho_8090 (ho_8217 k_8216 BOUND_VARIABLE_378205) BOUND_VARIABLE_295265) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_295265) (ho_6671 BOUND_VARIABLE_378205 BOUND_VARIABLE_295265)))))) (let ((_let_12952 (forall ((BOUND_VARIABLE_378221 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295256 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 (ho_8219 k_8218 BOUND_VARIABLE_378221) BOUND_VARIABLE_295256) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_295256) (ho_4521 BOUND_VARIABLE_378221 BOUND_VARIABLE_295256)))))) (let ((_let_12953 (forall ((BOUND_VARIABLE_378237 |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_295247 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 (ho_8221 k_8220 BOUND_VARIABLE_378237) BOUND_VARIABLE_295247) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_295247) (ho_4501 BOUND_VARIABLE_378237 BOUND_VARIABLE_295247)))))) (let ((_let_12954 (forall ((BOUND_VARIABLE_378254 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_295234 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295235 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8222 BOUND_VARIABLE_378254) BOUND_VARIABLE_295234) BOUND_VARIABLE_295235) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295235)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_378254) BOUND_VARIABLE_295234))))))) (let ((_let_12955 (forall ((BOUND_VARIABLE_378271 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_295221 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295222 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8223 BOUND_VARIABLE_378271) BOUND_VARIABLE_295221) BOUND_VARIABLE_295222) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295222)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_378271) BOUND_VARIABLE_295221))))))) (let ((_let_12956 (forall ((BOUND_VARIABLE_378288 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_295178 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295179 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295180 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295180)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_378288) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5884 BOUND_VARIABLE_295178) BOUND_VARIABLE_295179))))) (ho_4593 (ho_5107 (ho_8226 (ho_8225 k_8224 BOUND_VARIABLE_378288) BOUND_VARIABLE_295178) BOUND_VARIABLE_295179) BOUND_VARIABLE_295180))))) (let ((_let_12957 (forall ((BOUND_VARIABLE_378317 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_295165 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295166 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_8227 BOUND_VARIABLE_378317) BOUND_VARIABLE_295165) BOUND_VARIABLE_295166) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295166)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_378317) BOUND_VARIABLE_295165))))))) (let ((_let_12958 (forall ((BOUND_VARIABLE_378334 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_295152 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295153 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_8228 BOUND_VARIABLE_378334) BOUND_VARIABLE_295152) BOUND_VARIABLE_295153) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295153)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_378334) BOUND_VARIABLE_295152))))))) (let ((_let_12959 (forall ((BOUND_VARIABLE_378353 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_295115 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295116 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295117 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_295117)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_378353) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5885 BOUND_VARIABLE_295115) BOUND_VARIABLE_295116)) tptp.top_top_set_o))))) (ho_4593 (ho_5115 (ho_8231 (ho_8230 k_8229 BOUND_VARIABLE_378353) BOUND_VARIABLE_295115) BOUND_VARIABLE_295116) BOUND_VARIABLE_295117))))) (let ((_let_12960 (forall ((BOUND_VARIABLE_378382 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295102 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295103 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_8232 BOUND_VARIABLE_378382) BOUND_VARIABLE_295102) BOUND_VARIABLE_295103) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295103)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_378382) BOUND_VARIABLE_295102))))))) (let ((_let_12961 (forall ((BOUND_VARIABLE_378399 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295089 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295090 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_8233 BOUND_VARIABLE_378399) BOUND_VARIABLE_295089) BOUND_VARIABLE_295090) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295090)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_378399) BOUND_VARIABLE_295089))))))) (let ((_let_12962 (forall ((BOUND_VARIABLE_378416 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295046 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295047 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295048 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295048)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_378416) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5886 BOUND_VARIABLE_295046) BOUND_VARIABLE_295047))))) (ho_4575 (ho_6877 (ho_8236 (ho_8235 k_8234 BOUND_VARIABLE_378416) BOUND_VARIABLE_295046) BOUND_VARIABLE_295047) BOUND_VARIABLE_295048))))) (let ((_let_12963 (forall ((BOUND_VARIABLE_378446 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295033 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295034 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_8240 (ho_8239 k_8238 BOUND_VARIABLE_378446) BOUND_VARIABLE_295033) BOUND_VARIABLE_295034) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295034)) (ho_8243 (ho_8242 k_8241 BOUND_VARIABLE_378446) BOUND_VARIABLE_295033))))))) (let ((_let_12964 (forall ((BOUND_VARIABLE_378480 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_295020 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295021 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_8240 (ho_8239 k_8244 BOUND_VARIABLE_378480) BOUND_VARIABLE_295020) BOUND_VARIABLE_295021) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_295021)) (ho_8243 (ho_8242 k_8241 BOUND_VARIABLE_378480) BOUND_VARIABLE_295020))))))) (let ((_let_12965 (forall ((BOUND_VARIABLE_378499 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294983 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294984 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294985 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294985)) (ho_8243 (ho_8242 k_8241 BOUND_VARIABLE_378499) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5887 BOUND_VARIABLE_294983) BOUND_VARIABLE_294984)) tptp.top_top_set_o))))) (ho_4575 (ho_8240 (ho_8247 (ho_8246 k_8245 BOUND_VARIABLE_378499) BOUND_VARIABLE_294983) BOUND_VARIABLE_294984) BOUND_VARIABLE_294985))))) (let ((_let_12966 (forall ((BOUND_VARIABLE_294951 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294952 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294953 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294953)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5888 BOUND_VARIABLE_294951) BOUND_VARIABLE_294952)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_8248 BOUND_VARIABLE_294951) BOUND_VARIABLE_294952) BOUND_VARIABLE_294953))))) (let ((_let_12967 (forall ((BOUND_VARIABLE_294910 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_378542 |u_(-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_294912 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294913 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294913)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5892 (ho_5891 k_5890 BOUND_VARIABLE_294910) BOUND_VARIABLE_378542) BOUND_VARIABLE_294912)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_8251 (ho_8250 k_8249 BOUND_VARIABLE_294910) BOUND_VARIABLE_378542) BOUND_VARIABLE_294912) BOUND_VARIABLE_294913))))) (let ((_let_12968 (forall ((BOUND_VARIABLE_294879 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294880 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294881 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294881)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5895 BOUND_VARIABLE_294879) BOUND_VARIABLE_294880)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_8252 BOUND_VARIABLE_294879) BOUND_VARIABLE_294880) BOUND_VARIABLE_294881))))) (let ((_let_12969 (forall ((BOUND_VARIABLE_294865 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_378594 |u_(-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_294867 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294868 Bool)) (let ((_let_1 (ho_8259 k_8258 BOUND_VARIABLE_378594))) (= (ho_5499 (ho_8257 (ho_8256 (ho_8255 k_8254 BOUND_VARIABLE_294865) BOUND_VARIABLE_378594) BOUND_VARIABLE_294867) BOUND_VARIABLE_294868) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_294868) (ho_8260 _let_1 BOUND_VARIABLE_294865)) (ho_8260 _let_1 BOUND_VARIABLE_294867))))))) (let ((_let_12970 (forall ((BOUND_VARIABLE_294855 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294856 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294857 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8261 BOUND_VARIABLE_294855) BOUND_VARIABLE_294856) BOUND_VARIABLE_294857) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_294857) BOUND_VARIABLE_294855) BOUND_VARIABLE_294856))))) (let ((_let_12971 (forall ((BOUND_VARIABLE_294814 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_378642 |u_(-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_294816 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294817 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294817)) (ho_4959 (ho_4958 k_4957 (ho_5900 (ho_5899 (ho_5898 k_5897 BOUND_VARIABLE_294814) BOUND_VARIABLE_378642) BOUND_VARIABLE_294816)) tptp.top_top_set_o))) (ho_4544 (ho_5131 (ho_8264 (ho_8263 k_8262 BOUND_VARIABLE_294814) BOUND_VARIABLE_378642) BOUND_VARIABLE_294816) BOUND_VARIABLE_294817))))) (let ((_let_12972 (forall ((BOUND_VARIABLE_294804 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294805 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294806 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8265 BOUND_VARIABLE_294804) BOUND_VARIABLE_294805) BOUND_VARIABLE_294806) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_294806) BOUND_VARIABLE_294804) BOUND_VARIABLE_294805))))) (let ((_let_12973 (forall ((BOUND_VARIABLE_294790 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_378689 |u_(-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_294792 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294793 Bool)) (let ((_let_1 (ho_8271 k_8270 BOUND_VARIABLE_378689))) (= (ho_5499 (ho_5552 (ho_8269 (ho_8268 k_8267 BOUND_VARIABLE_294790) BOUND_VARIABLE_378689) BOUND_VARIABLE_294792) BOUND_VARIABLE_294793) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_294793) (ho_5556 _let_1 BOUND_VARIABLE_294790)) (ho_5556 _let_1 BOUND_VARIABLE_294792))))))) (let ((_let_12974 (forall ((BOUND_VARIABLE_294749 tptp.set_int) (BOUND_VARIABLE_378719 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_294751 tptp.set_int) (BOUND_VARIABLE_294752 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294752)) (ho_4699 (ho_4698 k_4697 (ho_5852 (ho_5905 (ho_5904 k_5903 BOUND_VARIABLE_294749) BOUND_VARIABLE_378719) BOUND_VARIABLE_294751)) tptp.top_top_set_o))) (ho_4593 (ho_5080 (ho_8274 (ho_8273 k_8272 BOUND_VARIABLE_294749) BOUND_VARIABLE_378719) BOUND_VARIABLE_294751) BOUND_VARIABLE_294752))))) (let ((_let_12975 (forall ((BOUND_VARIABLE_294718 tptp.set_nat) (BOUND_VARIABLE_294719 tptp.set_nat) (BOUND_VARIABLE_294720 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294720)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5906 BOUND_VARIABLE_294718) BOUND_VARIABLE_294719)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8275 BOUND_VARIABLE_294718) BOUND_VARIABLE_294719) BOUND_VARIABLE_294720))))) (let ((_let_12976 (forall ((BOUND_VARIABLE_294687 tptp.set_nat) (BOUND_VARIABLE_294688 tptp.set_nat) (BOUND_VARIABLE_294689 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294689)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5907 BOUND_VARIABLE_294687) BOUND_VARIABLE_294688)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8276 BOUND_VARIABLE_294687) BOUND_VARIABLE_294688) BOUND_VARIABLE_294689))))) (let ((_let_12977 (forall ((BOUND_VARIABLE_294646 tptp.set_nat) (BOUND_VARIABLE_378783 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_294648 tptp.set_nat) (BOUND_VARIABLE_294649 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294649)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5910 (ho_5909 k_5908 BOUND_VARIABLE_294646) BOUND_VARIABLE_378783) BOUND_VARIABLE_294648)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5517 (ho_8278 k_8277 BOUND_VARIABLE_294646) BOUND_VARIABLE_378783) BOUND_VARIABLE_294648) BOUND_VARIABLE_294649))))) (let ((_let_12978 (forall ((BOUND_VARIABLE_294615 tptp.set_nat) (BOUND_VARIABLE_294616 tptp.set_nat) (BOUND_VARIABLE_294617 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294617)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5912 BOUND_VARIABLE_294615) BOUND_VARIABLE_294616)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8279 BOUND_VARIABLE_294615) BOUND_VARIABLE_294616) BOUND_VARIABLE_294617))))) (let ((_let_12979 (forall ((BOUND_VARIABLE_378829 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_294603 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294604 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8280 BOUND_VARIABLE_378829) BOUND_VARIABLE_294603) BOUND_VARIABLE_294604) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294604)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_378829) BOUND_VARIABLE_294603))))))) (let ((_let_12980 (forall ((BOUND_VARIABLE_378846 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_294590 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294591 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8281 BOUND_VARIABLE_378846) BOUND_VARIABLE_294590) BOUND_VARIABLE_294591) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294591)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_378846) BOUND_VARIABLE_294590))))))) (let ((_let_12981 (forall ((BOUND_VARIABLE_378863 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_294547 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294548 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294549 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294549)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_378863) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5913 BOUND_VARIABLE_294547) BOUND_VARIABLE_294548))))) (ho_4593 (ho_5107 (ho_8226 (ho_8225 k_8282 BOUND_VARIABLE_378863) BOUND_VARIABLE_294547) BOUND_VARIABLE_294548) BOUND_VARIABLE_294549))))) (let ((_let_12982 (forall ((BOUND_VARIABLE_378885 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_294534 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294535 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_8283 BOUND_VARIABLE_378885) BOUND_VARIABLE_294534) BOUND_VARIABLE_294535) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294535)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_378885) BOUND_VARIABLE_294534))))))) (let ((_let_12983 (forall ((BOUND_VARIABLE_378902 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_294521 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294522 tptp.nat)) (= (ho_4593 (ho_5115 (ho_5114 k_8284 BOUND_VARIABLE_378902) BOUND_VARIABLE_294521) BOUND_VARIABLE_294522) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294522)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_378902) BOUND_VARIABLE_294521))))))) (let ((_let_12984 (forall ((BOUND_VARIABLE_378921 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_294484 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294485 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294486 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294486)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_378921) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5914 BOUND_VARIABLE_294484) BOUND_VARIABLE_294485)) tptp.top_top_set_o))))) (ho_4593 (ho_5115 (ho_8231 (ho_8230 k_8285 BOUND_VARIABLE_378921) BOUND_VARIABLE_294484) BOUND_VARIABLE_294485) BOUND_VARIABLE_294486))))) (let ((_let_12985 (forall ((BOUND_VARIABLE_378943 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294471 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294472 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_8286 BOUND_VARIABLE_378943) BOUND_VARIABLE_294471) BOUND_VARIABLE_294472) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294472)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_378943) BOUND_VARIABLE_294471))))))) (let ((_let_12986 (forall ((BOUND_VARIABLE_378960 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294458 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294459 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_8287 BOUND_VARIABLE_378960) BOUND_VARIABLE_294458) BOUND_VARIABLE_294459) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294459)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_378960) BOUND_VARIABLE_294458))))))) (let ((_let_12987 (forall ((BOUND_VARIABLE_378977 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294415 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294416 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294417 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294417)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_378977) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5915 BOUND_VARIABLE_294415) BOUND_VARIABLE_294416))))) (ho_4575 (ho_6877 (ho_8236 (ho_8235 k_8288 BOUND_VARIABLE_378977) BOUND_VARIABLE_294415) BOUND_VARIABLE_294416) BOUND_VARIABLE_294417))))) (let ((_let_12988 (forall ((BOUND_VARIABLE_378999 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294402 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294403 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_8240 (ho_8239 k_8289 BOUND_VARIABLE_378999) BOUND_VARIABLE_294402) BOUND_VARIABLE_294403) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294403)) (ho_8243 (ho_8242 k_8241 BOUND_VARIABLE_378999) BOUND_VARIABLE_294402))))))) (let ((_let_12989 (forall ((BOUND_VARIABLE_379016 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294389 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294390 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_8240 (ho_8239 k_8290 BOUND_VARIABLE_379016) BOUND_VARIABLE_294389) BOUND_VARIABLE_294390) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294390)) (ho_8243 (ho_8242 k_8241 BOUND_VARIABLE_379016) BOUND_VARIABLE_294389))))))) (let ((_let_12990 (forall ((BOUND_VARIABLE_379035 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_294352 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294353 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294354 tptp.product_prod_nat_nat)) (= (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_294354)) (ho_8243 (ho_8242 k_8241 BOUND_VARIABLE_379035) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5916 BOUND_VARIABLE_294352) BOUND_VARIABLE_294353)) tptp.top_top_set_o))))) (ho_4575 (ho_8240 (ho_8247 (ho_8246 k_8291 BOUND_VARIABLE_379035) BOUND_VARIABLE_294352) BOUND_VARIABLE_294353) BOUND_VARIABLE_294354))))) (let ((_let_12991 (forall ((BOUND_VARIABLE_379057 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_294309 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294310 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294311 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294311)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_379057) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5917 BOUND_VARIABLE_294309) BOUND_VARIABLE_294310))))) (ho_4593 (ho_5107 (ho_8226 (ho_8225 k_8292 BOUND_VARIABLE_379057) BOUND_VARIABLE_294309) BOUND_VARIABLE_294310) BOUND_VARIABLE_294311))))) (let ((_let_12992 (forall ((BOUND_VARIABLE_294252 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_379076 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_294254 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294255 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294255)) (ho_4699 (ho_4698 k_4697 (ho_5921 (ho_5920 (ho_5919 k_5918 BOUND_VARIABLE_294252) BOUND_VARIABLE_379076) BOUND_VARIABLE_294254)) tptp.top_top_set_o))) (ho_4593 (ho_5107 (ho_5106 (ho_8294 k_8293 BOUND_VARIABLE_294252) BOUND_VARIABLE_379076) BOUND_VARIABLE_294254) BOUND_VARIABLE_294255))))) (let ((_let_12993 (forall ((BOUND_VARIABLE_379107 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_294216 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294217 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294218 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294218)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_379107) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5922 BOUND_VARIABLE_294216) BOUND_VARIABLE_294217)) tptp.top_top_set_o))))) (ho_4593 (ho_5115 (ho_8231 (ho_8230 k_8295 BOUND_VARIABLE_379107) BOUND_VARIABLE_294216) BOUND_VARIABLE_294217) BOUND_VARIABLE_294218))))) (let ((_let_12994 (forall ((BOUND_VARIABLE_294159 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_379126 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_294161 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294162 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_294162)) (ho_4699 (ho_4698 k_4697 (ho_5926 (ho_5925 (ho_5924 k_5923 BOUND_VARIABLE_294159) BOUND_VARIABLE_379126) BOUND_VARIABLE_294161)) tptp.top_top_set_o))) (ho_4593 (ho_5115 (ho_5114 (ho_8297 k_8296 BOUND_VARIABLE_294159) BOUND_VARIABLE_379126) BOUND_VARIABLE_294161) BOUND_VARIABLE_294162))))) (let ((_let_12995 (forall ((BOUND_VARIABLE_379155 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_294117 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294118 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294119 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294119)) (ho_5126 (ho_5125 k_5124 BOUND_VARIABLE_379155) (ho_4495 k_4494 (ho_5018 (ho_5074 k_5927 BOUND_VARIABLE_294117) BOUND_VARIABLE_294118))))) (ho_4544 (ho_5018 (ho_5074 (ho_8299 k_8298 BOUND_VARIABLE_379155) BOUND_VARIABLE_294117) BOUND_VARIABLE_294118) BOUND_VARIABLE_294119))))) (let ((_let_12996 (forall ((BOUND_VARIABLE_294060 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_379178 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_294062 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294063 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294063)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5930 (ho_5929 k_5928 BOUND_VARIABLE_294060) BOUND_VARIABLE_379178) BOUND_VARIABLE_294062)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5123 (ho_8301 k_8300 BOUND_VARIABLE_294060) BOUND_VARIABLE_379178) BOUND_VARIABLE_294062) BOUND_VARIABLE_294063))))) (let ((_let_12997 (forall ((BOUND_VARIABLE_294029 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294030 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294031 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_294031)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5931 BOUND_VARIABLE_294029) BOUND_VARIABLE_294030)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_8302 BOUND_VARIABLE_294029) BOUND_VARIABLE_294030) BOUND_VARIABLE_294031))))) (let ((_let_12998 (forall ((BOUND_VARIABLE_294013 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_379226 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_294015 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294016 Bool)) (let ((_let_1 (ho_8308 k_8307 BOUND_VARIABLE_379226))) (= (ho_5499 (ho_8257 (ho_8306 (ho_8305 k_8304 BOUND_VARIABLE_294013) BOUND_VARIABLE_379226) BOUND_VARIABLE_294015) BOUND_VARIABLE_294016) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_294016) (ho_5504 k_5503 (ho_8309 _let_1 BOUND_VARIABLE_294013))) (ho_5504 k_5503 (ho_8309 _let_1 BOUND_VARIABLE_294015)))))))) (let ((_let_12999 (forall ((BOUND_VARIABLE_379266 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_293977 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293978 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293979 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_293979)) (ho_5134 (ho_5133 k_5132 BOUND_VARIABLE_379266) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_5932 BOUND_VARIABLE_293977) BOUND_VARIABLE_293978)) tptp.top_top_set_o))))) (ho_4544 (ho_5131 (ho_8312 (ho_8311 k_8310 BOUND_VARIABLE_379266) BOUND_VARIABLE_293977) BOUND_VARIABLE_293978) BOUND_VARIABLE_293979))))) (let ((_let_13000 (forall ((BOUND_VARIABLE_293920 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_379292 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_293922 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293923 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_293923)) (ho_4959 (ho_4958 k_4957 (ho_5900 (ho_5935 (ho_5934 k_5933 BOUND_VARIABLE_293920) BOUND_VARIABLE_379292) BOUND_VARIABLE_293922)) tptp.top_top_set_o))) (ho_4544 (ho_5131 (ho_5130 (ho_8314 k_8313 BOUND_VARIABLE_293920) BOUND_VARIABLE_379292) BOUND_VARIABLE_293922) BOUND_VARIABLE_293923))))) (let ((_let_13001 (forall ((BOUND_VARIABLE_293910 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293911 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293912 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8315 BOUND_VARIABLE_293910) BOUND_VARIABLE_293911) BOUND_VARIABLE_293912) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_293912) BOUND_VARIABLE_293910) BOUND_VARIABLE_293911))))) (let ((_let_13002 (forall ((BOUND_VARIABLE_293894 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_379335 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_293896 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293897 Bool)) (let ((_let_1 (ho_8321 k_8320 BOUND_VARIABLE_379335))) (= (ho_5499 (ho_5552 (ho_8319 (ho_8318 k_8317 BOUND_VARIABLE_293894) BOUND_VARIABLE_379335) BOUND_VARIABLE_293896) BOUND_VARIABLE_293897) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_293897) (ho_5504 k_5503 (ho_8322 _let_1 BOUND_VARIABLE_293894))) (ho_5504 k_5503 (ho_8322 _let_1 BOUND_VARIABLE_293896)))))))) (let ((_let_13003 (forall ((BOUND_VARIABLE_379375 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_379374 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_293885 tptp.code_integer) (BOUND_VARIABLE_293886 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_8323 BOUND_VARIABLE_379375) BOUND_VARIABLE_379374) BOUND_VARIABLE_293885) BOUND_VARIABLE_293886) (ho_5405 (ho_5413 BOUND_VARIABLE_379375 (ho_5398 BOUND_VARIABLE_379374 BOUND_VARIABLE_293885)) BOUND_VARIABLE_293886))))) (let ((_let_13004 (forall ((BOUND_VARIABLE_379391 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_379390 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_293876 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_8324 BOUND_VARIABLE_379391) BOUND_VARIABLE_379390) BOUND_VARIABLE_293876) (ho_4891 BOUND_VARIABLE_379391 (ho_4914 BOUND_VARIABLE_379390 BOUND_VARIABLE_293876)))))) (let ((_let_13005 (forall ((BOUND_VARIABLE_379405 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_379404 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_293867 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8325 BOUND_VARIABLE_379405) BOUND_VARIABLE_379404) BOUND_VARIABLE_293867) (ho_4855 BOUND_VARIABLE_379405 (ho_4855 BOUND_VARIABLE_379404 BOUND_VARIABLE_293867)))))) (let ((_let_13006 (forall ((BOUND_VARIABLE_379419 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_379418 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_293858 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_8326 BOUND_VARIABLE_379419) BOUND_VARIABLE_379418) BOUND_VARIABLE_293858) (ho_6671 BOUND_VARIABLE_379419 (ho_4891 BOUND_VARIABLE_379418 BOUND_VARIABLE_293858)))))) (let ((_let_13007 (forall ((BOUND_VARIABLE_379433 |u_(-> Bool Bool)|) (BOUND_VARIABLE_379432 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_293849 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_8327 BOUND_VARIABLE_379433) BOUND_VARIABLE_379432) BOUND_VARIABLE_293849) (ho_5235 BOUND_VARIABLE_379433 (ho_4593 BOUND_VARIABLE_379432 BOUND_VARIABLE_293849)))))) (let ((_let_13008 (forall ((BOUND_VARIABLE_379447 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_293832 tptp.set_Product_unit) (BOUND_VARIABLE_293833 tptp.set_Product_unit) (BOUND_VARIABLE_293834 tptp.nat)) (= (ho_4593 (ho_5009 (ho_8330 (ho_8329 k_8328 BOUND_VARIABLE_379447) BOUND_VARIABLE_293832) BOUND_VARIABLE_293833) BOUND_VARIABLE_293834) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293834)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_379447) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_293832) BOUND_VARIABLE_293833)))))))) (let ((_let_13009 (forall ((BOUND_VARIABLE_379475 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_293819 tptp.set_Product_unit) (BOUND_VARIABLE_293820 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8332 BOUND_VARIABLE_379475) BOUND_VARIABLE_293819) BOUND_VARIABLE_293820) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293820)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_379475) BOUND_VARIABLE_293819))))))) (let ((_let_13010 (forall ((BOUND_VARIABLE_379492 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_293806 tptp.set_Product_unit) (BOUND_VARIABLE_293807 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8333 BOUND_VARIABLE_379492) BOUND_VARIABLE_293806) BOUND_VARIABLE_293807) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293807)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_379492) BOUND_VARIABLE_293806))))))) (let ((_let_13011 (forall ((BOUND_VARIABLE_293774 tptp.set_nat) (BOUND_VARIABLE_293775 tptp.set_nat) (BOUND_VARIABLE_293776 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293776)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5936 BOUND_VARIABLE_293774) BOUND_VARIABLE_293775)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8334 BOUND_VARIABLE_293774) BOUND_VARIABLE_293775) BOUND_VARIABLE_293776))))) (let ((_let_13012 (forall ((BOUND_VARIABLE_293743 tptp.set_nat) (BOUND_VARIABLE_293744 tptp.set_nat) (BOUND_VARIABLE_293745 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293745)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5937 BOUND_VARIABLE_293743) BOUND_VARIABLE_293744)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8335 BOUND_VARIABLE_293743) BOUND_VARIABLE_293744) BOUND_VARIABLE_293745))))) (let ((_let_13013 (forall ((BOUND_VARIABLE_379544 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_293728 tptp.set_Product_unit) (BOUND_VARIABLE_293729 tptp.set_Product_unit) (BOUND_VARIABLE_293730 tptp.nat)) (= (ho_4593 (ho_5009 (ho_8330 (ho_8329 k_8336 BOUND_VARIABLE_379544) BOUND_VARIABLE_293728) BOUND_VARIABLE_293729) BOUND_VARIABLE_293730) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293730)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_379544) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_293728) BOUND_VARIABLE_293729)))))))) (let ((_let_13014 (forall ((BOUND_VARIABLE_293670 tptp.set_Product_unit) (BOUND_VARIABLE_379561 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_293672 tptp.set_Product_unit) (BOUND_VARIABLE_293673 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293673)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5939 k_5938 BOUND_VARIABLE_293670) BOUND_VARIABLE_379561) BOUND_VARIABLE_293672)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_8338 k_8337 BOUND_VARIABLE_293670) BOUND_VARIABLE_379561) BOUND_VARIABLE_293672) BOUND_VARIABLE_293673))))) (let ((_let_13015 (forall ((BOUND_VARIABLE_293639 tptp.set_nat) (BOUND_VARIABLE_293640 tptp.set_nat) (BOUND_VARIABLE_293641 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293641)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5940 BOUND_VARIABLE_293639) BOUND_VARIABLE_293640)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8339 BOUND_VARIABLE_293639) BOUND_VARIABLE_293640) BOUND_VARIABLE_293641))))) (let ((_let_13016 (forall ((BOUND_VARIABLE_293608 tptp.set_nat) (BOUND_VARIABLE_293609 tptp.set_nat) (BOUND_VARIABLE_293610 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293610)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5941 BOUND_VARIABLE_293608) BOUND_VARIABLE_293609)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8340 BOUND_VARIABLE_293608) BOUND_VARIABLE_293609) BOUND_VARIABLE_293610))))) (let ((_let_13017 (forall ((BOUND_VARIABLE_293598 tptp.set_set_nat) (BOUND_VARIABLE_293599 tptp.nat)) (= (ho_4593 (ho_5067 k_8341 BOUND_VARIABLE_293598) BOUND_VARIABLE_293599) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293599)) BOUND_VARIABLE_293598)))))) (let ((_let_13018 (forall ((BOUND_VARIABLE_293588 tptp.set_set_nat) (BOUND_VARIABLE_293589 tptp.nat)) (= (ho_4593 (ho_5067 k_8342 BOUND_VARIABLE_293588) BOUND_VARIABLE_293589) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293589)) BOUND_VARIABLE_293588)))))) (let ((_let_13019 (forall ((BOUND_VARIABLE_293578 tptp.set_set_nat) (BOUND_VARIABLE_293579 tptp.nat)) (= (ho_4593 (ho_5067 k_8343 BOUND_VARIABLE_293578) BOUND_VARIABLE_293579) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293579)) BOUND_VARIABLE_293578)))))) (let ((_let_13020 (forall ((BOUND_VARIABLE_293568 tptp.set_set_int) (BOUND_VARIABLE_293569 tptp.int)) (= (ho_5218 (ho_6198 k_8344 BOUND_VARIABLE_293568) BOUND_VARIABLE_293569) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_293569)) BOUND_VARIABLE_293568)))))) (let ((_let_13021 (forall ((BOUND_VARIABLE_293558 tptp.set_set_int) (BOUND_VARIABLE_293559 tptp.int)) (= (ho_5218 (ho_6198 k_8345 BOUND_VARIABLE_293558) BOUND_VARIABLE_293559) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_293559)) BOUND_VARIABLE_293558)))))) (let ((_let_13022 (forall ((BOUND_VARIABLE_293548 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293549 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293550 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8346 BOUND_VARIABLE_293548) BOUND_VARIABLE_293549) BOUND_VARIABLE_293550) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_293550) BOUND_VARIABLE_293548) BOUND_VARIABLE_293549))))) (let ((_let_13023 (forall ((BOUND_VARIABLE_293517 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_293518 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_293519 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_293519)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_5942 BOUND_VARIABLE_293517) BOUND_VARIABLE_293518)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_8347 BOUND_VARIABLE_293517) BOUND_VARIABLE_293518) BOUND_VARIABLE_293519))))) (let ((_let_13024 (forall ((BOUND_VARIABLE_293507 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293508 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293509 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8348 BOUND_VARIABLE_293507) BOUND_VARIABLE_293508) BOUND_VARIABLE_293509) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_293509) BOUND_VARIABLE_293507) BOUND_VARIABLE_293508))))) (let ((_let_13025 (forall ((BOUND_VARIABLE_293497 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293498 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293499 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8349 BOUND_VARIABLE_293497) BOUND_VARIABLE_293498) BOUND_VARIABLE_293499) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_293499) BOUND_VARIABLE_293497) BOUND_VARIABLE_293498))))) (let ((_let_13026 (forall ((BOUND_VARIABLE_293487 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293488 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293489 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8350 BOUND_VARIABLE_293487) BOUND_VARIABLE_293488) BOUND_VARIABLE_293489) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_293489) BOUND_VARIABLE_293487) BOUND_VARIABLE_293488))))) (let ((_let_13027 (forall ((BOUND_VARIABLE_293456 tptp.set_nat) (BOUND_VARIABLE_293457 tptp.set_nat) (BOUND_VARIABLE_293458 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293458)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5943 BOUND_VARIABLE_293456) BOUND_VARIABLE_293457)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8351 BOUND_VARIABLE_293456) BOUND_VARIABLE_293457) BOUND_VARIABLE_293458))))) (let ((_let_13028 (forall ((BOUND_VARIABLE_293425 tptp.set_nat) (BOUND_VARIABLE_293426 tptp.set_nat) (BOUND_VARIABLE_293427 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293427)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5944 BOUND_VARIABLE_293425) BOUND_VARIABLE_293426)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8352 BOUND_VARIABLE_293425) BOUND_VARIABLE_293426) BOUND_VARIABLE_293427))))) (let ((_let_13029 (forall ((BOUND_VARIABLE_293394 tptp.set_nat) (BOUND_VARIABLE_293395 tptp.set_nat) (BOUND_VARIABLE_293396 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_293396)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5945 BOUND_VARIABLE_293394) BOUND_VARIABLE_293395)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8353 BOUND_VARIABLE_293394) BOUND_VARIABLE_293395) BOUND_VARIABLE_293396))))) (let ((_let_13030 (forall ((BOUND_VARIABLE_293356 tptp.set_nat) (BOUND_VARIABLE_293357 tptp.set_nat) (BOUND_VARIABLE_293358 tptp.set_nat) (BOUND_VARIABLE_293359 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293359)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5946 BOUND_VARIABLE_293356)) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_293357) BOUND_VARIABLE_293358)))) (ho_4575 (ho_4758 (ho_5149 (ho_8355 k_8354 BOUND_VARIABLE_293356) BOUND_VARIABLE_293357) BOUND_VARIABLE_293358) BOUND_VARIABLE_293359))))) (let ((_let_13031 (forall ((BOUND_VARIABLE_293321 tptp.set_nat) (BOUND_VARIABLE_293322 tptp.set_nat) (BOUND_VARIABLE_293323 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293323)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5947 BOUND_VARIABLE_293321)) BOUND_VARIABLE_293322))) (ho_4575 (ho_4758 (ho_5149 k_8356 BOUND_VARIABLE_293321) BOUND_VARIABLE_293322) BOUND_VARIABLE_293323))))) (let ((_let_13032 (forall ((BOUND_VARIABLE_293286 tptp.set_nat) (BOUND_VARIABLE_293287 tptp.set_nat) (BOUND_VARIABLE_293288 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293288)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5948 BOUND_VARIABLE_293286)) BOUND_VARIABLE_293287))) (ho_4575 (ho_4758 (ho_5149 k_8357 BOUND_VARIABLE_293286) BOUND_VARIABLE_293287) BOUND_VARIABLE_293288))))) (let ((_let_13033 (forall ((BOUND_VARIABLE_379848 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_379847 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_293242 tptp.set_nat) (BOUND_VARIABLE_293243 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293243)) (ho_4565 (ho_4564 k_4563 (ho_4768 (ho_5950 k_5949 BOUND_VARIABLE_379848) BOUND_VARIABLE_379847)) BOUND_VARIABLE_293242))) (ho_4575 (ho_4758 (ho_5290 (ho_8359 k_8358 BOUND_VARIABLE_379848) BOUND_VARIABLE_379847) BOUND_VARIABLE_293242) BOUND_VARIABLE_293243))))) (let ((_let_13034 (forall ((BOUND_VARIABLE_379873 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_293204 tptp.set_nat) (BOUND_VARIABLE_293205 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293205)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5951 BOUND_VARIABLE_379873)) BOUND_VARIABLE_293204))) (ho_4575 (ho_4758 (ho_5290 k_8360 BOUND_VARIABLE_379873) BOUND_VARIABLE_293204) BOUND_VARIABLE_293205))))) (let ((_let_13035 (forall ((BOUND_VARIABLE_379891 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_293167 tptp.set_nat) (BOUND_VARIABLE_293168 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293168)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5952 BOUND_VARIABLE_379891)) BOUND_VARIABLE_293167))) (ho_4575 (ho_4758 (ho_5290 k_8361 BOUND_VARIABLE_379891) BOUND_VARIABLE_293167) BOUND_VARIABLE_293168))))) (let ((_let_13036 (forall ((BOUND_VARIABLE_293131 tptp.set_nat) (BOUND_VARIABLE_293132 tptp.set_nat) (BOUND_VARIABLE_293133 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293133)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5953 BOUND_VARIABLE_293131)) BOUND_VARIABLE_293132))) (ho_4575 (ho_4758 (ho_5149 k_8362 BOUND_VARIABLE_293131) BOUND_VARIABLE_293132) BOUND_VARIABLE_293133))))) (let ((_let_13037 (forall ((BOUND_VARIABLE_293096 tptp.set_nat) (BOUND_VARIABLE_293097 tptp.set_nat) (BOUND_VARIABLE_293098 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293098)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5954 BOUND_VARIABLE_293096)) BOUND_VARIABLE_293097))) (ho_4575 (ho_4758 (ho_5149 k_8363 BOUND_VARIABLE_293096) BOUND_VARIABLE_293097) BOUND_VARIABLE_293098))))) (let ((_let_13038 (forall ((BOUND_VARIABLE_293050 tptp.set_nat) (BOUND_VARIABLE_293051 tptp.set_nat) (BOUND_VARIABLE_293052 tptp.set_nat) (BOUND_VARIABLE_293053 tptp.set_nat) (BOUND_VARIABLE_293054 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_293054)) (ho_4565 (ho_4564 k_4563 (ho_5287 (ho_5956 k_5955 BOUND_VARIABLE_293050) BOUND_VARIABLE_293051)) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_293052) BOUND_VARIABLE_293053)))) (ho_4575 (ho_4758 (ho_5149 (ho_8355 (ho_8365 k_8364 BOUND_VARIABLE_293050) BOUND_VARIABLE_293051) BOUND_VARIABLE_293052) BOUND_VARIABLE_293053) BOUND_VARIABLE_293054))))) (let ((_let_13039 (forall ((BOUND_VARIABLE_293044 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293045 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_293044 (ho_5643 (ho_5678 k_8366 BOUND_VARIABLE_293044) BOUND_VARIABLE_293045))))) (let ((_let_13040 (forall ((BOUND_VARIABLE_293038 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293039 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_293038 (ho_5643 (ho_5678 k_8367 BOUND_VARIABLE_293038) BOUND_VARIABLE_293039))))) (let ((_let_13041 (forall ((BOUND_VARIABLE_293029 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293030 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293031 tptp.product_prod_nat_nat)) (= (ho_5643 (ho_5678 (ho_8369 k_8368 BOUND_VARIABLE_293029) BOUND_VARIABLE_293030) BOUND_VARIABLE_293031) (ho_4521 (ho_5638 k_5637 BOUND_VARIABLE_293029) BOUND_VARIABLE_293030))))) (let ((_let_13042 (forall ((BOUND_VARIABLE_292991 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292992 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292993 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292994 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_292994)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_5957 BOUND_VARIABLE_292991)) (ho_5160 (ho_5159 k_5158 BOUND_VARIABLE_292992) BOUND_VARIABLE_292993)))) (ho_4544 (ho_4543 (ho_5152 (ho_8371 k_8370 BOUND_VARIABLE_292991) BOUND_VARIABLE_292992) BOUND_VARIABLE_292993) BOUND_VARIABLE_292994))))) (let ((_let_13043 (forall ((BOUND_VARIABLE_292922 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292923 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292924 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292925 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_292925)) (ho_4959 (ho_4958 k_4957 (ho_5961 (ho_5960 (ho_5959 k_5958 BOUND_VARIABLE_292922) BOUND_VARIABLE_292923) BOUND_VARIABLE_292924)) tptp.top_top_set_o))) (ho_4544 (ho_4543 (ho_5152 (ho_8371 k_8372 BOUND_VARIABLE_292922) BOUND_VARIABLE_292923) BOUND_VARIABLE_292924) BOUND_VARIABLE_292925))))) (let ((_let_13044 (forall ((BOUND_VARIABLE_292916 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292917 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_292916 (ho_5643 (ho_5678 k_8373 BOUND_VARIABLE_292916) BOUND_VARIABLE_292917))))) (let ((_let_13045 (forall ((BOUND_VARIABLE_292883 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292884 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292885 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292886 Bool)) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_292886) (ho_8376 (ho_8375 k_8374 BOUND_VARIABLE_292883) (ho_5678 k_5962 BOUND_VARIABLE_292885))) (ho_8376 (ho_8375 k_8374 BOUND_VARIABLE_292884) (ho_5678 k_5963 BOUND_VARIABLE_292885))) (ho_5499 (ho_7736 (ho_8379 (ho_8378 k_8377 BOUND_VARIABLE_292883) BOUND_VARIABLE_292884) BOUND_VARIABLE_292885) BOUND_VARIABLE_292886))))) (let ((_let_13046 (forall ((BOUND_VARIABLE_292848 tptp.set_nat) (BOUND_VARIABLE_292849 tptp.set_nat) (BOUND_VARIABLE_292850 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292850)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5964 BOUND_VARIABLE_292848)) BOUND_VARIABLE_292849))) (ho_4575 (ho_4758 (ho_5149 k_8380 BOUND_VARIABLE_292848) BOUND_VARIABLE_292849) BOUND_VARIABLE_292850))))) (let ((_let_13047 (forall ((BOUND_VARIABLE_292813 tptp.set_nat) (BOUND_VARIABLE_292814 tptp.set_nat) (BOUND_VARIABLE_292815 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292815)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5965 BOUND_VARIABLE_292813)) BOUND_VARIABLE_292814))) (ho_4575 (ho_4758 (ho_5149 k_8381 BOUND_VARIABLE_292813) BOUND_VARIABLE_292814) BOUND_VARIABLE_292815))))) (let ((_let_13048 (forall ((BOUND_VARIABLE_292753 tptp.set_nat) (BOUND_VARIABLE_292754 tptp.set_nat) (BOUND_VARIABLE_292755 tptp.set_nat) (BOUND_VARIABLE_292756 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292756)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_5966 BOUND_VARIABLE_292753)) (ho_4845 k_4844 (ho_4762 (ho_5070 k_5967 BOUND_VARIABLE_292754) BOUND_VARIABLE_292755))))) (ho_4575 (ho_4758 (ho_5149 (ho_8355 k_8382 BOUND_VARIABLE_292753) BOUND_VARIABLE_292754) BOUND_VARIABLE_292755) BOUND_VARIABLE_292756))))) (let ((_let_13049 (forall ((BOUND_VARIABLE_380134 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_380133 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_292708 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292709 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_292709)) (ho_4533 (ho_4532 k_4531 (ho_4692 (ho_5969 k_5968 BOUND_VARIABLE_380134) BOUND_VARIABLE_380133)) BOUND_VARIABLE_292708))) (ho_4544 (ho_4543 (ho_5164 (ho_8384 k_8383 BOUND_VARIABLE_380134) BOUND_VARIABLE_380133) BOUND_VARIABLE_292708) BOUND_VARIABLE_292709))))) (let ((_let_13050 (forall ((BOUND_VARIABLE_380160 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_380159 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_292621 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292622 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_292622)) (ho_4959 (ho_4958 k_4957 (ho_5961 (ho_5972 (ho_5971 k_5970 BOUND_VARIABLE_380160) BOUND_VARIABLE_380159) BOUND_VARIABLE_292621)) tptp.top_top_set_o))) (ho_4544 (ho_4543 (ho_5164 (ho_8384 k_8385 BOUND_VARIABLE_380160) BOUND_VARIABLE_380159) BOUND_VARIABLE_292621) BOUND_VARIABLE_292622))))) (let ((_let_13051 (forall ((BOUND_VARIABLE_380186 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_380185 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_292610 tptp.product_prod_nat_nat)) (= (ho_5643 (ho_5646 (ho_8387 k_8386 BOUND_VARIABLE_380186) BOUND_VARIABLE_380185) BOUND_VARIABLE_292610) (ho_4521 (ho_5638 k_6000 (ho_5643 BOUND_VARIABLE_380186 BOUND_VARIABLE_292610)) (ho_5643 BOUND_VARIABLE_380185 BOUND_VARIABLE_292610)))))) (let ((_let_13052 (forall ((BOUND_VARIABLE_380207 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_292595 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_380206 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_292597 Bool)) (let ((_let_1 (ho_8375 k_8374 BOUND_VARIABLE_292595))) (= (ho_5499 (ho_8391 (ho_8390 (ho_8389 k_8388 BOUND_VARIABLE_380207) BOUND_VARIABLE_292595) BOUND_VARIABLE_380206) BOUND_VARIABLE_292597) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_292597) (ho_8376 _let_1 BOUND_VARIABLE_380207)) (ho_8376 _let_1 BOUND_VARIABLE_380206))))))) (let ((_let_13053 (forall ((BOUND_VARIABLE_380234 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_292558 tptp.set_nat) (BOUND_VARIABLE_292559 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292559)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5973 BOUND_VARIABLE_380234)) BOUND_VARIABLE_292558))) (ho_4575 (ho_4758 (ho_5290 k_8392 BOUND_VARIABLE_380234) BOUND_VARIABLE_292558) BOUND_VARIABLE_292559))))) (let ((_let_13054 (forall ((BOUND_VARIABLE_380252 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_292521 tptp.set_nat) (BOUND_VARIABLE_292522 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292522)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5974 BOUND_VARIABLE_380252)) BOUND_VARIABLE_292521))) (ho_4575 (ho_4758 (ho_5290 k_8393 BOUND_VARIABLE_380252) BOUND_VARIABLE_292521) BOUND_VARIABLE_292522))))) (let ((_let_13055 (forall ((BOUND_VARIABLE_380271 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_380270 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_292462 tptp.set_nat) (BOUND_VARIABLE_292463 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292463)) (ho_4565 (ho_4564 k_4563 (ho_4768 (ho_5950 k_5975 BOUND_VARIABLE_380271) BOUND_VARIABLE_380270)) BOUND_VARIABLE_292462))) (ho_4575 (ho_4758 (ho_5290 (ho_8359 k_8394 BOUND_VARIABLE_380271) BOUND_VARIABLE_380270) BOUND_VARIABLE_292462) BOUND_VARIABLE_292463))))) (let ((_let_13056 (forall ((BOUND_VARIABLE_292445 tptp.set_o) (BOUND_VARIABLE_380297 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_380296 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_292448 Bool)) (= (ho_6840 (ho_8398 (ho_8397 (ho_8396 k_8395 BOUND_VARIABLE_292445) BOUND_VARIABLE_380297) BOUND_VARIABLE_380296) BOUND_VARIABLE_292448) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_292448) BOUND_VARIABLE_292445)) (ho_6840 BOUND_VARIABLE_380297 BOUND_VARIABLE_292448)) (ho_6840 BOUND_VARIABLE_380296 BOUND_VARIABLE_292448)))))) (let ((_let_13057 (forall ((BOUND_VARIABLE_380329 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_292430 tptp.set_int) (BOUND_VARIABLE_380324 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_292432 tptp.int)) (let ((_let_1 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_292432) BOUND_VARIABLE_292430))) (= (and (or (not _let_1) (ho_5218 BOUND_VARIABLE_380329 BOUND_VARIABLE_292432)) (or _let_1 (ho_5218 BOUND_VARIABLE_380324 BOUND_VARIABLE_292432))) (ho_5218 (ho_5220 (ho_8401 (ho_8400 k_8399 BOUND_VARIABLE_380329) BOUND_VARIABLE_292430) BOUND_VARIABLE_380324) BOUND_VARIABLE_292432)))))) (let ((_let_13058 (forall ((BOUND_VARIABLE_380359 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_292414 tptp.set_nat) (BOUND_VARIABLE_380354 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_292416 tptp.nat)) (let ((_let_1 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_292416) BOUND_VARIABLE_292414))) (= (and (or (not _let_1) (ho_4593 BOUND_VARIABLE_380359 BOUND_VARIABLE_292416)) (or _let_1 (ho_4593 BOUND_VARIABLE_380354 BOUND_VARIABLE_292416))) (ho_4593 (ho_5216 (ho_8404 (ho_8403 k_8402 BOUND_VARIABLE_380359) BOUND_VARIABLE_292414) BOUND_VARIABLE_380354) BOUND_VARIABLE_292416)))))) (let ((_let_13059 (forall ((BOUND_VARIABLE_292382 tptp.set_nat) (BOUND_VARIABLE_292383 tptp.set_nat) (BOUND_VARIABLE_292384 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_292384)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5976 BOUND_VARIABLE_292382) BOUND_VARIABLE_292383)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8405 BOUND_VARIABLE_292382) BOUND_VARIABLE_292383) BOUND_VARIABLE_292384))))) (let ((_let_13060 (forall ((BOUND_VARIABLE_380406 |u_(-> Bool Bool)|) (BOUND_VARIABLE_292367 tptp.set_o) (BOUND_VARIABLE_380401 |u_(-> Bool Bool)|) (BOUND_VARIABLE_292369 Bool)) (let ((_let_1 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_292369) BOUND_VARIABLE_292367))) (= (and (or (not _let_1) (ho_5235 BOUND_VARIABLE_380406 BOUND_VARIABLE_292369)) (or _let_1 (ho_5235 BOUND_VARIABLE_380401 BOUND_VARIABLE_292369))) (ho_5235 (ho_7258 (ho_7257 (ho_8407 k_8406 BOUND_VARIABLE_380406) BOUND_VARIABLE_292367) BOUND_VARIABLE_380401) BOUND_VARIABLE_292369)))))) (let ((_let_13061 (forall ((BOUND_VARIABLE_292351 tptp.set_int) (BOUND_VARIABLE_380432 |u_(-> tptp.int tptp.product_unit)|) (BOUND_VARIABLE_380431 |u_(-> tptp.int tptp.product_unit)|) (BOUND_VARIABLE_292354 tptp.int)) (= (ho_6916 (ho_8411 (ho_8410 (ho_8409 k_8408 BOUND_VARIABLE_292351) BOUND_VARIABLE_380432) BOUND_VARIABLE_380431) BOUND_VARIABLE_292354) (ho_6912 (ho_7203 (ho_7202 k_7201 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_292354) BOUND_VARIABLE_292351)) (ho_6916 BOUND_VARIABLE_380432 BOUND_VARIABLE_292354)) (ho_6916 BOUND_VARIABLE_380431 BOUND_VARIABLE_292354)))))) (let ((_let_13062 (forall ((BOUND_VARIABLE_292336 tptp.set_nat) (BOUND_VARIABLE_380464 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_380463 |u_(-> tptp.nat tptp.product_unit)|) (BOUND_VARIABLE_292339 tptp.nat)) (= (ho_4880 (ho_8415 (ho_8414 (ho_8413 k_8412 BOUND_VARIABLE_292336) BOUND_VARIABLE_380464) BOUND_VARIABLE_380463) BOUND_VARIABLE_292339) (ho_6912 (ho_7203 (ho_7202 k_7201 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_292339) BOUND_VARIABLE_292336)) (ho_4880 BOUND_VARIABLE_380464 BOUND_VARIABLE_292339)) (ho_4880 BOUND_VARIABLE_380463 BOUND_VARIABLE_292339)))))) (let ((_let_13063 (forall ((BOUND_VARIABLE_292305 tptp.set_nat) (BOUND_VARIABLE_292306 tptp.set_nat) (BOUND_VARIABLE_292307 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_292307)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5977 BOUND_VARIABLE_292305) BOUND_VARIABLE_292306)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8416 BOUND_VARIABLE_292305) BOUND_VARIABLE_292306) BOUND_VARIABLE_292307))))) (let ((_let_13064 (forall ((BOUND_VARIABLE_292290 tptp.set_o) (BOUND_VARIABLE_380513 |u_(-> Bool tptp.product_unit)|) (BOUND_VARIABLE_380512 |u_(-> Bool tptp.product_unit)|) (BOUND_VARIABLE_292293 Bool)) (= (ho_6908 (ho_8420 (ho_8419 (ho_8418 k_8417 BOUND_VARIABLE_292290) BOUND_VARIABLE_380513) BOUND_VARIABLE_380512) BOUND_VARIABLE_292293) (ho_6912 (ho_7203 (ho_7202 k_7201 (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_292293) BOUND_VARIABLE_292290)) (ho_6908 BOUND_VARIABLE_380513 BOUND_VARIABLE_292293)) (ho_6908 BOUND_VARIABLE_380512 BOUND_VARIABLE_292293)))))) (let ((_let_13065 (forall ((BOUND_VARIABLE_292275 tptp.set_int) (BOUND_VARIABLE_380545 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_380544 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_292278 tptp.int)) (= (ho_4914 (ho_8181 (ho_8180 (ho_8422 k_8421 BOUND_VARIABLE_292275) BOUND_VARIABLE_380545) BOUND_VARIABLE_380544) BOUND_VARIABLE_292278) (ho_4914 (ho_5432 (ho_5435 k_5434 (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_292278) BOUND_VARIABLE_292275)) (ho_4914 BOUND_VARIABLE_380545 BOUND_VARIABLE_292278)) (ho_4914 BOUND_VARIABLE_380544 BOUND_VARIABLE_292278)))))) (let ((_let_13066 (forall ((BOUND_VARIABLE_292260 tptp.set_nat) (BOUND_VARIABLE_380570 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_380569 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_292263 tptp.nat)) (= (ho_4925 (ho_6796 (ho_8171 (ho_8424 k_8423 BOUND_VARIABLE_292260) BOUND_VARIABLE_380570) BOUND_VARIABLE_380569) BOUND_VARIABLE_292263) (ho_4914 (ho_5432 (ho_5435 k_5434 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_292263) BOUND_VARIABLE_292260)) (ho_4925 BOUND_VARIABLE_380570 BOUND_VARIABLE_292263)) (ho_4925 BOUND_VARIABLE_380569 BOUND_VARIABLE_292263)))))) (let ((_let_13067 (forall ((BOUND_VARIABLE_292229 tptp.set_nat) (BOUND_VARIABLE_292230 tptp.set_nat) (BOUND_VARIABLE_292231 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_292231)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5978 BOUND_VARIABLE_292229) BOUND_VARIABLE_292230)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8425 BOUND_VARIABLE_292229) BOUND_VARIABLE_292230) BOUND_VARIABLE_292231))))) (let ((_let_13068 (forall ((BOUND_VARIABLE_292214 tptp.set_nat) (BOUND_VARIABLE_380612 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_380611 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_292217 tptp.nat)) (= (ho_6357 (ho_6807 (ho_8428 (ho_8427 k_8426 BOUND_VARIABLE_292214) BOUND_VARIABLE_380612) BOUND_VARIABLE_380611) BOUND_VARIABLE_292217) (ho_6804 (ho_8051 (ho_8430 k_8429 (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_292217) BOUND_VARIABLE_292214)) (ho_6357 BOUND_VARIABLE_380612 BOUND_VARIABLE_292217)) (ho_6357 BOUND_VARIABLE_380611 BOUND_VARIABLE_292217)))))) (let ((_let_13069 (forall ((BOUND_VARIABLE_292183 tptp.set_nat) (BOUND_VARIABLE_292184 tptp.set_nat) (BOUND_VARIABLE_292185 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_292185)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5979 BOUND_VARIABLE_292183) BOUND_VARIABLE_292184)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8431 BOUND_VARIABLE_292183) BOUND_VARIABLE_292184) BOUND_VARIABLE_292185))))) (let ((_let_13070 (forall ((BOUND_VARIABLE_380659 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_292144 tptp.set_nat) (BOUND_VARIABLE_292145 tptp.set_nat) (BOUND_VARIABLE_292146 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292146)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5980 BOUND_VARIABLE_380659)) (ho_4560 (ho_4559 k_4928 BOUND_VARIABLE_292144) BOUND_VARIABLE_292145)))) (ho_4575 (ho_4758 (ho_5149 (ho_8433 k_8432 BOUND_VARIABLE_380659) BOUND_VARIABLE_292144) BOUND_VARIABLE_292145) BOUND_VARIABLE_292146))))) (let ((_let_13071 (forall ((BOUND_VARIABLE_380683 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_292107 tptp.set_nat) (BOUND_VARIABLE_292108 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292108)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5981 BOUND_VARIABLE_380683)) BOUND_VARIABLE_292107))) (ho_4575 (ho_4758 (ho_5290 k_8434 BOUND_VARIABLE_380683) BOUND_VARIABLE_292107) BOUND_VARIABLE_292108))))) (let ((_let_13072 (forall ((BOUND_VARIABLE_380701 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_292070 tptp.set_nat) (BOUND_VARIABLE_292071 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_292071)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5982 BOUND_VARIABLE_380701)) BOUND_VARIABLE_292070))) (ho_4575 (ho_4758 (ho_5290 k_8435 BOUND_VARIABLE_380701) BOUND_VARIABLE_292070) BOUND_VARIABLE_292071))))) (let ((_let_13073 (forall ((BOUND_VARIABLE_380721 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_292030 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292031 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292032 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_292032)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_5983 BOUND_VARIABLE_380721)) (ho_5160 (ho_5159 k_5158 BOUND_VARIABLE_292030) BOUND_VARIABLE_292031)))) (ho_4544 (ho_4543 (ho_5152 (ho_8437 k_8436 BOUND_VARIABLE_380721) BOUND_VARIABLE_292030) BOUND_VARIABLE_292031) BOUND_VARIABLE_292032))))) (let ((_let_13074 (forall ((BOUND_VARIABLE_291958 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_380745 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_291960 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_291961 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_291961)) (ho_4959 (ho_4958 k_4957 (ho_5961 (ho_5972 (ho_5985 k_5984 BOUND_VARIABLE_291958) BOUND_VARIABLE_380745) BOUND_VARIABLE_291960)) tptp.top_top_set_o))) (ho_4544 (ho_4543 (ho_5164 (ho_8439 k_8438 BOUND_VARIABLE_291958) BOUND_VARIABLE_380745) BOUND_VARIABLE_291960) BOUND_VARIABLE_291961))))) (let ((_let_13075 (forall ((BOUND_VARIABLE_291943 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291944 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_380775 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291946 Bool)) (= (ho_5499 (ho_8391 (ho_8390 (ho_8441 k_8440 BOUND_VARIABLE_291943) BOUND_VARIABLE_291944) BOUND_VARIABLE_380775) BOUND_VARIABLE_291946) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_291946) (ho_8376 (ho_8375 k_8374 BOUND_VARIABLE_291943) BOUND_VARIABLE_380775)) (ho_8376 (ho_8375 k_8374 BOUND_VARIABLE_291944) BOUND_VARIABLE_380775)))))) (let ((_let_13076 (forall ((BOUND_VARIABLE_380795 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_291907 tptp.set_nat) (BOUND_VARIABLE_291908 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291908)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5986 BOUND_VARIABLE_380795)) BOUND_VARIABLE_291907))) (ho_4575 (ho_4758 (ho_5290 k_8442 BOUND_VARIABLE_380795) BOUND_VARIABLE_291907) BOUND_VARIABLE_291908))))) (let ((_let_13077 (forall ((BOUND_VARIABLE_380813 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_291870 tptp.set_nat) (BOUND_VARIABLE_291871 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291871)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5987 BOUND_VARIABLE_380813)) BOUND_VARIABLE_291870))) (ho_4575 (ho_4758 (ho_5290 k_8443 BOUND_VARIABLE_380813) BOUND_VARIABLE_291870) BOUND_VARIABLE_291871))))) (let ((_let_13078 (forall ((BOUND_VARIABLE_380834 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_291808 tptp.set_nat) (BOUND_VARIABLE_291809 tptp.set_nat) (BOUND_VARIABLE_291810 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291810)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_5988 BOUND_VARIABLE_380834)) (ho_4845 k_4844 (ho_4762 (ho_5070 k_5989 BOUND_VARIABLE_291808) BOUND_VARIABLE_291809))))) (ho_4575 (ho_4758 (ho_5149 (ho_8433 k_8444 BOUND_VARIABLE_380834) BOUND_VARIABLE_291808) BOUND_VARIABLE_291809) BOUND_VARIABLE_291810))))) (let ((_let_13079 (forall ((BOUND_VARIABLE_291776 tptp.set_nat) (BOUND_VARIABLE_291777 tptp.set_nat) (BOUND_VARIABLE_291778 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291778)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5990 BOUND_VARIABLE_291776) BOUND_VARIABLE_291777)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8445 BOUND_VARIABLE_291776) BOUND_VARIABLE_291777) BOUND_VARIABLE_291778))))) (let ((_let_13080 (forall ((BOUND_VARIABLE_291745 tptp.set_nat) (BOUND_VARIABLE_291746 tptp.set_nat) (BOUND_VARIABLE_291747 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291747)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5991 BOUND_VARIABLE_291745) BOUND_VARIABLE_291746)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8446 BOUND_VARIABLE_291745) BOUND_VARIABLE_291746) BOUND_VARIABLE_291747))))) (let ((_let_13081 (forall ((BOUND_VARIABLE_291713 tptp.set_nat) (BOUND_VARIABLE_291714 tptp.set_nat) (BOUND_VARIABLE_291715 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291715)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 k_5992 BOUND_VARIABLE_291713) BOUND_VARIABLE_291714)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 k_8447 BOUND_VARIABLE_291713) BOUND_VARIABLE_291714) BOUND_VARIABLE_291715))))) (let ((_let_13082 (forall ((BOUND_VARIABLE_291707 tptp.set_Code_integer) (BOUND_VARIABLE_291708 tptp.code_integer)) (= BOUND_VARIABLE_291707 (ho_8450 (ho_8449 k_8448 BOUND_VARIABLE_291707) BOUND_VARIABLE_291708))))) (let ((_let_13083 (forall ((BOUND_VARIABLE_380922 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_291692 Bool) (BOUND_VARIABLE_291693 tptp.set_o) (BOUND_VARIABLE_291694 tptp.nat)) (= (ho_4593 (ho_5000 (ho_7874 (ho_7873 k_8451 BOUND_VARIABLE_380922) BOUND_VARIABLE_291692) BOUND_VARIABLE_291693) BOUND_VARIABLE_291694) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291694)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_380922) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_291692) BOUND_VARIABLE_291693)))))))) (let ((_let_13084 (forall ((BOUND_VARIABLE_380942 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_291679 tptp.set_o) (BOUND_VARIABLE_291680 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8452 BOUND_VARIABLE_380942) BOUND_VARIABLE_291679) BOUND_VARIABLE_291680) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291680)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_380942) BOUND_VARIABLE_291679))))))) (let ((_let_13085 (forall ((BOUND_VARIABLE_380960 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_291663 tptp.product_unit) (BOUND_VARIABLE_291664 tptp.set_Product_unit) (BOUND_VARIABLE_291665 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_8453 BOUND_VARIABLE_380960) BOUND_VARIABLE_291663) BOUND_VARIABLE_291664) BOUND_VARIABLE_291665) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291665)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_380960) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_291663) BOUND_VARIABLE_291664)))))))) (let ((_let_13086 (forall ((BOUND_VARIABLE_380980 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_291650 tptp.set_Product_unit) (BOUND_VARIABLE_291651 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8454 BOUND_VARIABLE_380980) BOUND_VARIABLE_291650) BOUND_VARIABLE_291651) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291651)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_380980) BOUND_VARIABLE_291650))))))) (let ((_let_13087 (forall ((BOUND_VARIABLE_380998 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_291634 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_291635 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291636 tptp.nat)) (= (ho_4593 (ho_5107 (ho_8457 (ho_8456 k_8455 BOUND_VARIABLE_380998) BOUND_VARIABLE_291634) BOUND_VARIABLE_291635) BOUND_VARIABLE_291636) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291636)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_380998) (ho_4501 (ho_4500 k_4499 BOUND_VARIABLE_291634) BOUND_VARIABLE_291635)))))))) (let ((_let_13088 (forall ((BOUND_VARIABLE_381025 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_291621 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291622 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8458 BOUND_VARIABLE_381025) BOUND_VARIABLE_291621) BOUND_VARIABLE_291622) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291622)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_381025) BOUND_VARIABLE_291621))))))) (let ((_let_13089 (forall ((BOUND_VARIABLE_381043 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_291605 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291606 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291607 tptp.nat)) (= (ho_4593 (ho_4986 (ho_7912 (ho_7911 k_8459 BOUND_VARIABLE_381043) BOUND_VARIABLE_291605) BOUND_VARIABLE_291606) BOUND_VARIABLE_291607) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291607)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_381043) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_291605) BOUND_VARIABLE_291606)))))))) (let ((_let_13090 (forall ((BOUND_VARIABLE_381063 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_291592 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291593 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_8460 BOUND_VARIABLE_381063) BOUND_VARIABLE_291592) BOUND_VARIABLE_291593) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291593)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_381063) BOUND_VARIABLE_291592))))))) (let ((_let_13091 (forall ((BOUND_VARIABLE_381081 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_291576 tptp.nat) (BOUND_VARIABLE_291577 tptp.set_nat) (BOUND_VARIABLE_291578 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_8461 BOUND_VARIABLE_381081) BOUND_VARIABLE_291576) BOUND_VARIABLE_291577) BOUND_VARIABLE_291578) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291578)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_381081) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_291576) BOUND_VARIABLE_291577)))))))) (let ((_let_13092 (forall ((BOUND_VARIABLE_381101 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_291563 tptp.set_nat) (BOUND_VARIABLE_291564 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8462 BOUND_VARIABLE_381101) BOUND_VARIABLE_291563) BOUND_VARIABLE_291564) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291564)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_381101) BOUND_VARIABLE_291563))))))) (let ((_let_13093 (forall ((BOUND_VARIABLE_381119 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291547 Bool) (BOUND_VARIABLE_291548 tptp.set_o) (BOUND_VARIABLE_291549 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_7863 (ho_7862 k_8463 BOUND_VARIABLE_381119) BOUND_VARIABLE_291547) BOUND_VARIABLE_291548) BOUND_VARIABLE_291549) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291549)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_381119) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_291547) BOUND_VARIABLE_291548)))))))) (let ((_let_13094 (forall ((BOUND_VARIABLE_381139 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291534 tptp.set_o) (BOUND_VARIABLE_291535 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_8464 BOUND_VARIABLE_381139) BOUND_VARIABLE_291534) BOUND_VARIABLE_291535) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291535)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_381139) BOUND_VARIABLE_291534))))))) (let ((_let_13095 (forall ((BOUND_VARIABLE_381157 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291518 tptp.product_unit) (BOUND_VARIABLE_291519 tptp.set_Product_unit) (BOUND_VARIABLE_291520 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7867 (ho_7866 k_8465 BOUND_VARIABLE_381157) BOUND_VARIABLE_291518) BOUND_VARIABLE_291519) BOUND_VARIABLE_291520) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291520)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_381157) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_291518) BOUND_VARIABLE_291519)))))))) (let ((_let_13096 (forall ((BOUND_VARIABLE_381177 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291505 tptp.set_Product_unit) (BOUND_VARIABLE_291506 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_8466 BOUND_VARIABLE_381177) BOUND_VARIABLE_291505) BOUND_VARIABLE_291506) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291506)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_381177) BOUND_VARIABLE_291505))))))) (let ((_let_13097 (forall ((BOUND_VARIABLE_381195 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291489 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_291490 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291491 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_8469 (ho_8468 k_8467 BOUND_VARIABLE_381195) BOUND_VARIABLE_291489) BOUND_VARIABLE_291490) BOUND_VARIABLE_291491) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291491)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_381195) (ho_4501 (ho_4500 k_4499 BOUND_VARIABLE_291489) BOUND_VARIABLE_291490)))))))) (let ((_let_13098 (forall ((BOUND_VARIABLE_381222 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291476 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291477 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6877 (ho_6876 k_8470 BOUND_VARIABLE_381222) BOUND_VARIABLE_291476) BOUND_VARIABLE_291477) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291477)) (ho_6880 (ho_6879 k_6878 BOUND_VARIABLE_381222) BOUND_VARIABLE_291476))))))) (let ((_let_13099 (forall ((BOUND_VARIABLE_381240 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291460 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291461 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291462 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_8473 (ho_8472 k_8471 BOUND_VARIABLE_381240) BOUND_VARIABLE_291460) BOUND_VARIABLE_291461) BOUND_VARIABLE_291462) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291462)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_381240) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_291460) BOUND_VARIABLE_291461)))))))) (let ((_let_13100 (forall ((BOUND_VARIABLE_381267 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291447 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291448 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 (ho_6859 k_8474 BOUND_VARIABLE_381267) BOUND_VARIABLE_291447) BOUND_VARIABLE_291448) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291448)) (ho_4546 (ho_6861 k_6860 BOUND_VARIABLE_381267) BOUND_VARIABLE_291447))))))) (let ((_let_13101 (forall ((BOUND_VARIABLE_381285 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291431 tptp.nat) (BOUND_VARIABLE_291432 tptp.set_nat) (BOUND_VARIABLE_291433 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_4757 (ho_7870 k_8475 BOUND_VARIABLE_381285) BOUND_VARIABLE_291431) BOUND_VARIABLE_291432) BOUND_VARIABLE_291433) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291433)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_381285) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_291431) BOUND_VARIABLE_291432)))))))) (let ((_let_13102 (forall ((BOUND_VARIABLE_381305 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_291418 tptp.set_nat) (BOUND_VARIABLE_291419 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4758 (ho_6857 k_8476 BOUND_VARIABLE_381305) BOUND_VARIABLE_291418) BOUND_VARIABLE_291419) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_291419)) (ho_4565 (ho_4564 k_4563 BOUND_VARIABLE_381305) BOUND_VARIABLE_291418))))))) (let ((_let_13103 (forall ((BOUND_VARIABLE_381323 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_291402 tptp.product_unit) (BOUND_VARIABLE_291403 tptp.set_Product_unit) (BOUND_VARIABLE_291404 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_4974 (ho_7926 (ho_7925 k_8477 BOUND_VARIABLE_381323) BOUND_VARIABLE_291402) BOUND_VARIABLE_291403) BOUND_VARIABLE_291404) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_291404)) (ho_4971 (ho_4970 k_4969 BOUND_VARIABLE_381323) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_291402) BOUND_VARIABLE_291403)))))))) (let ((_let_13104 (forall ((BOUND_VARIABLE_291352 tptp.product_unit) (BOUND_VARIABLE_381340 |u_(-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_291354 tptp.set_Product_unit) (BOUND_VARIABLE_291355 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_291355)) (ho_4959 (ho_4958 k_4957 (ho_5704 (ho_5703 (ho_5817 k_5993 BOUND_VARIABLE_291352) BOUND_VARIABLE_381340) BOUND_VARIABLE_291354)) tptp.top_top_set_o))) (ho_4544 (ho_4974 (ho_4973 (ho_7928 k_8478 BOUND_VARIABLE_291352) BOUND_VARIABLE_381340) BOUND_VARIABLE_291354) BOUND_VARIABLE_291355))))) (let ((_let_13105 (forall ((BOUND_VARIABLE_381366 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_291337 tptp.nat) (BOUND_VARIABLE_291338 tptp.set_nat) (BOUND_VARIABLE_291339 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5052 (ho_7931 (ho_7930 k_8479 BOUND_VARIABLE_381366) BOUND_VARIABLE_291337) BOUND_VARIABLE_291338) BOUND_VARIABLE_291339) (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_291339)) (ho_5055 (ho_5054 k_5053 BOUND_VARIABLE_381366) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_291337) BOUND_VARIABLE_291338)))))))) (let ((_let_13106 (forall ((BOUND_VARIABLE_291287 tptp.nat) (BOUND_VARIABLE_381383 |u_(-> tptp.nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_291289 tptp.set_nat) (BOUND_VARIABLE_291290 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_291290)) (ho_4959 (ho_4958 k_4957 (ho_5821 (ho_5820 (ho_5819 k_5994 BOUND_VARIABLE_291287) BOUND_VARIABLE_381383) BOUND_VARIABLE_291289)) tptp.top_top_set_o))) (ho_4544 (ho_5052 (ho_5051 (ho_7933 k_8480 BOUND_VARIABLE_291287) BOUND_VARIABLE_381383) BOUND_VARIABLE_291289) BOUND_VARIABLE_291290))))) (let ((_let_13107 (forall ((BOUND_VARIABLE_291272 tptp.product_prod_nat_nat) (BOUND_VARIABLE_381409 |u_(-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_291274 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291275 Bool)) (= (ho_5499 (ho_7736 (ho_7735 (ho_7935 k_8481 BOUND_VARIABLE_291272) BOUND_VARIABLE_381409) BOUND_VARIABLE_291274) BOUND_VARIABLE_291275) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_291275) (ho_5693 BOUND_VARIABLE_381409 BOUND_VARIABLE_291272)) (ho_5504 k_5503 (ho_7729 (ho_7728 k_7727 BOUND_VARIABLE_381409) BOUND_VARIABLE_291274))))))) (let ((_let_13108 (forall ((BOUND_VARIABLE_291257 Bool) (BOUND_VARIABLE_381429 |u_(-> Bool tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_291259 tptp.set_o) (BOUND_VARIABLE_291260 Bool)) (= (ho_5499 (ho_7764 (ho_7763 (ho_7937 k_8482 BOUND_VARIABLE_291257) BOUND_VARIABLE_381429) BOUND_VARIABLE_291259) BOUND_VARIABLE_291260) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_291260) (ho_5499 BOUND_VARIABLE_381429 BOUND_VARIABLE_291257)) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 BOUND_VARIABLE_381429) BOUND_VARIABLE_291259))))))) (let ((_let_13109 (forall ((BOUND_VARIABLE_291242 tptp.product_unit) (BOUND_VARIABLE_381449 |u_(-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_291244 tptp.set_Product_unit) (BOUND_VARIABLE_291245 Bool)) (= (ho_5499 (ho_7775 (ho_7774 (ho_7907 k_8483 BOUND_VARIABLE_291242) BOUND_VARIABLE_381449) BOUND_VARIABLE_291244) BOUND_VARIABLE_291245) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_291245) (ho_5717 BOUND_VARIABLE_381449 BOUND_VARIABLE_291242)) (ho_5504 k_5503 (ho_7771 (ho_7770 k_7769 BOUND_VARIABLE_381449) BOUND_VARIABLE_291244))))))) (let ((_let_13110 (forall ((BOUND_VARIABLE_291227 tptp.nat) (BOUND_VARIABLE_381469 |u_(-> tptp.nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_291229 tptp.set_nat) (BOUND_VARIABLE_291230 Bool)) (= (ho_5499 (ho_7754 (ho_7753 (ho_7909 k_8484 BOUND_VARIABLE_291227) BOUND_VARIABLE_381469) BOUND_VARIABLE_291229) BOUND_VARIABLE_291230) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_291230) (ho_5708 BOUND_VARIABLE_381469 BOUND_VARIABLE_291227)) (ho_5504 k_5503 (ho_7747 (ho_7746 k_7745 BOUND_VARIABLE_381469) BOUND_VARIABLE_291229))))))) (let ((_let_13111 (forall ((BOUND_VARIABLE_381489 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_291212 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291213 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291214 tptp.nat)) (= (ho_4593 (ho_4986 (ho_7912 (ho_7911 k_8485 BOUND_VARIABLE_381489) BOUND_VARIABLE_291212) BOUND_VARIABLE_291213) BOUND_VARIABLE_291214) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291214)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_381489) (ho_4521 (ho_4520 k_4519 BOUND_VARIABLE_291212) BOUND_VARIABLE_291213)))))))) (let ((_let_13112 (forall ((BOUND_VARIABLE_291162 tptp.product_prod_nat_nat) (BOUND_VARIABLE_381506 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_291164 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291165 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291165)) (ho_4699 (ho_4698 k_4697 (ho_5565 (ho_5727 (ho_5809 k_5995 BOUND_VARIABLE_291162) BOUND_VARIABLE_381506) BOUND_VARIABLE_291164)) tptp.top_top_set_o))) (ho_4593 (ho_4986 (ho_4985 (ho_7914 k_8486 BOUND_VARIABLE_291162) BOUND_VARIABLE_381506) BOUND_VARIABLE_291164) BOUND_VARIABLE_291165))))) (let ((_let_13113 (forall ((BOUND_VARIABLE_381532 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_291147 Bool) (BOUND_VARIABLE_291148 tptp.set_o) (BOUND_VARIABLE_291149 tptp.nat)) (= (ho_4593 (ho_5000 (ho_7874 (ho_7873 k_8487 BOUND_VARIABLE_381532) BOUND_VARIABLE_291147) BOUND_VARIABLE_291148) BOUND_VARIABLE_291149) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291149)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_381532) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_291147) BOUND_VARIABLE_291148)))))))) (let ((_let_13114 (forall ((BOUND_VARIABLE_291097 Bool) (BOUND_VARIABLE_381549 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_291099 tptp.set_o) (BOUND_VARIABLE_291100 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291100)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5811 k_5996 BOUND_VARIABLE_291097) BOUND_VARIABLE_381549) BOUND_VARIABLE_291099)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7917 k_8488 BOUND_VARIABLE_291097) BOUND_VARIABLE_381549) BOUND_VARIABLE_291099) BOUND_VARIABLE_291100))))) (let ((_let_13115 (forall ((BOUND_VARIABLE_381575 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_291082 tptp.product_unit) (BOUND_VARIABLE_291083 tptp.set_Product_unit) (BOUND_VARIABLE_291084 tptp.nat)) (= (ho_4593 (ho_5009 (ho_7878 (ho_7877 k_8489 BOUND_VARIABLE_381575) BOUND_VARIABLE_291082) BOUND_VARIABLE_291083) BOUND_VARIABLE_291084) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291084)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_381575) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_291082) BOUND_VARIABLE_291083)))))))) (let ((_let_13116 (forall ((BOUND_VARIABLE_291032 tptp.product_unit) (BOUND_VARIABLE_381592 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_291034 tptp.set_Product_unit) (BOUND_VARIABLE_291035 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291035)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5813 k_5997 BOUND_VARIABLE_291032) BOUND_VARIABLE_381592) BOUND_VARIABLE_291034)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_7920 k_8490 BOUND_VARIABLE_291032) BOUND_VARIABLE_381592) BOUND_VARIABLE_291034) BOUND_VARIABLE_291035))))) (let ((_let_13117 (forall ((BOUND_VARIABLE_381618 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_291017 tptp.nat) (BOUND_VARIABLE_291018 tptp.set_nat) (BOUND_VARIABLE_291019 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5033 (ho_5032 k_8491 BOUND_VARIABLE_381618) BOUND_VARIABLE_291017) BOUND_VARIABLE_291018) BOUND_VARIABLE_291019) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_291019)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_381618) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_291017) BOUND_VARIABLE_291018)))))))) (let ((_let_13118 (forall ((BOUND_VARIABLE_290967 tptp.nat) (BOUND_VARIABLE_381635 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_290969 tptp.set_nat) (BOUND_VARIABLE_290970 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290970)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5815 k_5998 BOUND_VARIABLE_290967) BOUND_VARIABLE_381635) BOUND_VARIABLE_290969)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_8492 BOUND_VARIABLE_290967) BOUND_VARIABLE_381635) BOUND_VARIABLE_290969) BOUND_VARIABLE_290970))))) (let ((_let_13119 (forall ((BOUND_VARIABLE_381657 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_290935 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_290936 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_290936)) (ho_7668 (ho_7667 k_7666 (ho_5684 (ho_5683 k_5999 BOUND_VARIABLE_381657) BOUND_VARIABLE_290935)) tptp.bot_bo3957492148770167129t_unit))) (ho_4575 (ho_5239 (ho_8494 k_8493 BOUND_VARIABLE_381657) BOUND_VARIABLE_290935) BOUND_VARIABLE_290936))))) (let ((_let_13120 (forall ((BOUND_VARIABLE_381680 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_290900 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_290901 tptp.set_Product_unit) (BOUND_VARIABLE_290902 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_290902)) (ho_7668 (ho_7667 k_7666 (ho_5684 (ho_5683 k_6001 BOUND_VARIABLE_381680) BOUND_VARIABLE_290900)) BOUND_VARIABLE_290901))) (ho_4575 (ho_7671 (ho_7721 (ho_7720 k_8495 BOUND_VARIABLE_381680) BOUND_VARIABLE_290900) BOUND_VARIABLE_290901) BOUND_VARIABLE_290902))))) (let ((_let_13121 (forall ((BOUND_VARIABLE_381704 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_290887 tptp.set_Product_unit) (BOUND_VARIABLE_290888 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_8496 BOUND_VARIABLE_381704) BOUND_VARIABLE_290887) BOUND_VARIABLE_290888) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_290888)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_381704) BOUND_VARIABLE_290887))))))) (let ((_let_13122 (forall ((BOUND_VARIABLE_381718 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_290840 tptp.set_nat) (BOUND_VARIABLE_290841 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290841)) (ho_4765 (ho_4764 k_4763 (ho_5658 (ho_5657 k_6002 BOUND_VARIABLE_381718) BOUND_VARIABLE_290840)) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4762 (ho_4761 k_8497 BOUND_VARIABLE_381718) BOUND_VARIABLE_290840) BOUND_VARIABLE_290841))))) (let ((_let_13123 (forall ((BOUND_VARIABLE_381737 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_290791 tptp.set_nat) (BOUND_VARIABLE_290792 tptp.set_nat) (BOUND_VARIABLE_290793 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290793)) (ho_4765 (ho_4764 k_4763 (ho_5658 (ho_5657 k_6003 BOUND_VARIABLE_381737) BOUND_VARIABLE_290791)) BOUND_VARIABLE_290792))) (ho_4593 (ho_4762 (ho_5070 (ho_7677 k_8498 BOUND_VARIABLE_381737) BOUND_VARIABLE_290791) BOUND_VARIABLE_290792) BOUND_VARIABLE_290793))))) (let ((_let_13124 (forall ((BOUND_VARIABLE_381758 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_290744 tptp.set_nat) (BOUND_VARIABLE_290745 tptp.set_nat) (BOUND_VARIABLE_290746 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290746)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_4665 (ho_5784 k_6004 BOUND_VARIABLE_381758) BOUND_VARIABLE_290744) BOUND_VARIABLE_290745)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_5070 (ho_7677 k_8499 BOUND_VARIABLE_381758) BOUND_VARIABLE_290744) BOUND_VARIABLE_290745) BOUND_VARIABLE_290746))))) (let ((_let_13125 (forall ((BOUND_VARIABLE_381780 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_290697 tptp.set_nat) (BOUND_VARIABLE_290698 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290698)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5660 k_6005 BOUND_VARIABLE_381780) BOUND_VARIABLE_290697)) tptp.bot_bot_set_o))) (ho_4593 (ho_4762 (ho_7851 k_8500 BOUND_VARIABLE_381780) BOUND_VARIABLE_290697) BOUND_VARIABLE_290698))))) (let ((_let_13126 (forall ((BOUND_VARIABLE_381799 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_290648 tptp.set_nat) (BOUND_VARIABLE_290649 tptp.set_o) (BOUND_VARIABLE_290650 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290650)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5660 k_6006 BOUND_VARIABLE_381799) BOUND_VARIABLE_290648)) BOUND_VARIABLE_290649))) (ho_4593 (ho_5000 (ho_7682 (ho_7681 k_8501 BOUND_VARIABLE_381799) BOUND_VARIABLE_290648) BOUND_VARIABLE_290649) BOUND_VARIABLE_290650))))) (let ((_let_13127 (forall ((BOUND_VARIABLE_381820 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_290601 tptp.set_o) (BOUND_VARIABLE_290602 tptp.set_nat) (BOUND_VARIABLE_290603 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290603)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5789 (ho_5788 k_6007 BOUND_VARIABLE_381820) BOUND_VARIABLE_290601) BOUND_VARIABLE_290602)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7854 (ho_7853 k_8502 BOUND_VARIABLE_381820) BOUND_VARIABLE_290601) BOUND_VARIABLE_290602) BOUND_VARIABLE_290603))))) (let ((_let_13128 (forall ((BOUND_VARIABLE_381842 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_290554 tptp.set_nat) (BOUND_VARIABLE_290555 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290555)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6008 BOUND_VARIABLE_381842) BOUND_VARIABLE_290554)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_4762 (ho_7857 k_8503 BOUND_VARIABLE_381842) BOUND_VARIABLE_290554) BOUND_VARIABLE_290555))))) (let ((_let_13129 (forall ((BOUND_VARIABLE_381861 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_290506 tptp.set_nat) (BOUND_VARIABLE_290507 tptp.set_Product_unit) (BOUND_VARIABLE_290508 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290508)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6009 BOUND_VARIABLE_381861) BOUND_VARIABLE_290506)) BOUND_VARIABLE_290507))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_8504 BOUND_VARIABLE_381861) BOUND_VARIABLE_290506) BOUND_VARIABLE_290507) BOUND_VARIABLE_290508))))) (let ((_let_13130 (forall ((BOUND_VARIABLE_381882 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_290459 tptp.set_Product_unit) (BOUND_VARIABLE_290460 tptp.set_nat) (BOUND_VARIABLE_290461 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290461)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5586 (ho_5794 k_6010 BOUND_VARIABLE_381882) BOUND_VARIABLE_290459) BOUND_VARIABLE_290460)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_7457 (ho_7859 k_8505 BOUND_VARIABLE_381882) BOUND_VARIABLE_290459) BOUND_VARIABLE_290460) BOUND_VARIABLE_290461))))) (let ((_let_13131 (forall ((BOUND_VARIABLE_381904 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_290426 tptp.set_o) (BOUND_VARIABLE_290427 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290427)) (ho_7479 (ho_7478 k_7477 (ho_6014 (ho_6013 k_6012 BOUND_VARIABLE_381904) BOUND_VARIABLE_290426)) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_5234 (ho_8507 k_8506 BOUND_VARIABLE_381904) BOUND_VARIABLE_290426) BOUND_VARIABLE_290427))))) (let ((_let_13132 (forall ((BOUND_VARIABLE_381927 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_290391 tptp.set_o) (BOUND_VARIABLE_290392 tptp.set_nat) (BOUND_VARIABLE_290393 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290393)) (ho_7479 (ho_7478 k_7477 (ho_6014 (ho_6013 k_6017 BOUND_VARIABLE_381927) BOUND_VARIABLE_290391)) BOUND_VARIABLE_290392))) (ho_5235 (ho_7473 (ho_7472 (ho_8509 k_8508 BOUND_VARIABLE_381927) BOUND_VARIABLE_290391) BOUND_VARIABLE_290392) BOUND_VARIABLE_290393))))) (let ((_let_13133 (forall ((BOUND_VARIABLE_381955 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_290378 tptp.set_nat) (BOUND_VARIABLE_290379 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_8510 BOUND_VARIABLE_381955) BOUND_VARIABLE_290378) BOUND_VARIABLE_290379) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290379)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_381955) BOUND_VARIABLE_290378))))))) (let ((_let_13134 (forall ((BOUND_VARIABLE_381977 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_290368 tptp.set_Product_unit) (BOUND_VARIABLE_290369 tptp.nat)) (= (ho_8512 (ho_8515 (ho_8514 k_8513 BOUND_VARIABLE_381977) BOUND_VARIABLE_290368) BOUND_VARIABLE_290369) (ho_4885 (ho_4942 k_8331 (ho_8512 BOUND_VARIABLE_381977 BOUND_VARIABLE_290369)) BOUND_VARIABLE_290368))))) (let ((_let_13135 (forall ((BOUND_VARIABLE_382000 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_290358 tptp.set_Product_unit) (BOUND_VARIABLE_290359 tptp.nat)) (= (ho_8512 (ho_8515 (ho_8514 k_8516 BOUND_VARIABLE_382000) BOUND_VARIABLE_290358) BOUND_VARIABLE_290359) (ho_4885 (ho_4942 k_8331 (ho_8512 BOUND_VARIABLE_382000 BOUND_VARIABLE_290359)) BOUND_VARIABLE_290358))))) (let ((_let_13136 (forall ((BOUND_VARIABLE_382011 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_290325 tptp.set_o) (BOUND_VARIABLE_290326 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290326)) (ho_7493 (ho_7492 k_7491 (ho_6021 (ho_6020 k_6019 BOUND_VARIABLE_382011) BOUND_VARIABLE_290325)) tptp.bot_bot_set_o))) (ho_5235 (ho_5234 (ho_8518 k_8517 BOUND_VARIABLE_382011) BOUND_VARIABLE_290325) BOUND_VARIABLE_290326))))) (let ((_let_13137 (forall ((BOUND_VARIABLE_382034 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_290290 tptp.set_o) (BOUND_VARIABLE_290291 tptp.set_o) (BOUND_VARIABLE_290292 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290292)) (ho_7493 (ho_7492 k_7491 (ho_6021 (ho_6020 k_6022 BOUND_VARIABLE_382034) BOUND_VARIABLE_290290)) BOUND_VARIABLE_290291))) (ho_5235 (ho_5234 (ho_7487 (ho_8520 k_8519 BOUND_VARIABLE_382034) BOUND_VARIABLE_290290) BOUND_VARIABLE_290291) BOUND_VARIABLE_290292))))) (let ((_let_13138 (forall ((BOUND_VARIABLE_382062 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_290277 tptp.set_o) (BOUND_VARIABLE_290278 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_8521 BOUND_VARIABLE_382062) BOUND_VARIABLE_290277) BOUND_VARIABLE_290278) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290278)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_382062) BOUND_VARIABLE_290277))))))) (let ((_let_13139 (forall ((BOUND_VARIABLE_382079 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_290267 tptp.set_Product_unit) (BOUND_VARIABLE_290268 Bool)) (= (ho_6101 (ho_8524 (ho_8523 k_8522 BOUND_VARIABLE_382079) BOUND_VARIABLE_290267) BOUND_VARIABLE_290268) (ho_4885 (ho_4942 k_8331 (ho_6101 BOUND_VARIABLE_382079 BOUND_VARIABLE_290268)) BOUND_VARIABLE_290267))))) (let ((_let_13140 (forall ((BOUND_VARIABLE_382100 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_290257 tptp.set_Product_unit) (BOUND_VARIABLE_290258 Bool)) (= (ho_6101 (ho_8524 (ho_8523 k_8525 BOUND_VARIABLE_382100) BOUND_VARIABLE_290257) BOUND_VARIABLE_290258) (ho_4885 (ho_4942 k_8331 (ho_6101 BOUND_VARIABLE_382100 BOUND_VARIABLE_290258)) BOUND_VARIABLE_290257))))) (let ((_let_13141 (forall ((BOUND_VARIABLE_382111 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_290224 tptp.set_o) (BOUND_VARIABLE_290225 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290225)) (ho_7507 (ho_7506 k_7505 (ho_6026 (ho_6025 k_6024 BOUND_VARIABLE_382111) BOUND_VARIABLE_290224)) tptp.bot_bo3957492148770167129t_unit))) (ho_5235 (ho_5234 (ho_8527 k_8526 BOUND_VARIABLE_382111) BOUND_VARIABLE_290224) BOUND_VARIABLE_290225))))) (let ((_let_13142 (forall ((BOUND_VARIABLE_382134 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_290189 tptp.set_o) (BOUND_VARIABLE_290190 tptp.set_Product_unit) (BOUND_VARIABLE_290191 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290191)) (ho_7507 (ho_7506 k_7505 (ho_6026 (ho_6025 k_6027 BOUND_VARIABLE_382134) BOUND_VARIABLE_290189)) BOUND_VARIABLE_290190))) (ho_5235 (ho_7501 (ho_7500 (ho_8529 k_8528 BOUND_VARIABLE_382134) BOUND_VARIABLE_290189) BOUND_VARIABLE_290190) BOUND_VARIABLE_290191))))) (let ((_let_13143 (forall ((BOUND_VARIABLE_382162 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_290176 tptp.set_Product_unit) (BOUND_VARIABLE_290177 Bool)) (= (ho_5235 (ho_7501 (ho_8531 k_8530 BOUND_VARIABLE_382162) BOUND_VARIABLE_290176) BOUND_VARIABLE_290177) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_290177)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_382162) BOUND_VARIABLE_290176))))))) (let ((_let_13144 (forall ((BOUND_VARIABLE_382183 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_290166 tptp.set_Product_unit) (BOUND_VARIABLE_290167 tptp.product_unit)) (= (ho_6114 (ho_8534 (ho_8533 k_8532 BOUND_VARIABLE_382183) BOUND_VARIABLE_290166) BOUND_VARIABLE_290167) (ho_4885 (ho_4942 k_8331 (ho_6114 BOUND_VARIABLE_382183 BOUND_VARIABLE_290167)) BOUND_VARIABLE_290166))))) (let ((_let_13145 (forall ((BOUND_VARIABLE_382204 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_290156 tptp.set_Product_unit) (BOUND_VARIABLE_290157 tptp.product_unit)) (= (ho_6114 (ho_8534 (ho_8533 k_8535 BOUND_VARIABLE_382204) BOUND_VARIABLE_290156) BOUND_VARIABLE_290157) (ho_4885 (ho_4942 k_8331 (ho_6114 BOUND_VARIABLE_382204 BOUND_VARIABLE_290157)) BOUND_VARIABLE_290156))))) (let ((_let_13146 (forall ((BOUND_VARIABLE_290122 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_382215 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_290124 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_290124)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_5653 k_6028 BOUND_VARIABLE_290122) BOUND_VARIABLE_382215)) tptp.bot_bo3957492148770167129t_unit))) (ho_4575 (ho_7665 (ho_8537 k_8536 BOUND_VARIABLE_290122) BOUND_VARIABLE_382215) BOUND_VARIABLE_290124))))) (let ((_let_13147 (forall ((BOUND_VARIABLE_290087 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_382238 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_290089 tptp.set_Product_unit) (BOUND_VARIABLE_290090 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_290090)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_5653 k_6029 BOUND_VARIABLE_290087) BOUND_VARIABLE_382238)) BOUND_VARIABLE_290089))) (ho_4575 (ho_7671 (ho_7670 (ho_7673 k_8538 BOUND_VARIABLE_290087) BOUND_VARIABLE_382238) BOUND_VARIABLE_290089) BOUND_VARIABLE_290090))))) (let ((_let_13148 (forall ((BOUND_VARIABLE_382262 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_290075 tptp.set_Product_unit) (BOUND_VARIABLE_290076 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_8539 BOUND_VARIABLE_382262) BOUND_VARIABLE_290075) BOUND_VARIABLE_290076) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_290076)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_382262) BOUND_VARIABLE_290075))))))) (let ((_let_13149 (forall ((BOUND_VARIABLE_290027 tptp.set_nat) (BOUND_VARIABLE_382276 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_290029 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_290029)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_5620 k_6030 BOUND_VARIABLE_290027) BOUND_VARIABLE_382276)) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 (ho_7784 k_8540 BOUND_VARIABLE_290027) BOUND_VARIABLE_382276) BOUND_VARIABLE_290029))))) (let ((_let_13150 (forall ((BOUND_VARIABLE_289979 tptp.set_nat) (BOUND_VARIABLE_382295 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_289981 tptp.set_nat) (BOUND_VARIABLE_289982 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289982)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_5620 k_6031 BOUND_VARIABLE_289979) BOUND_VARIABLE_382295)) BOUND_VARIABLE_289981))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_8541 BOUND_VARIABLE_289979) BOUND_VARIABLE_382295) BOUND_VARIABLE_289981) BOUND_VARIABLE_289982))))) (let ((_let_13151 (forall ((BOUND_VARIABLE_289932 tptp.set_nat) (BOUND_VARIABLE_382316 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_289934 tptp.set_nat) (BOUND_VARIABLE_289935 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289935)) (ho_4699 (ho_4698 k_4697 (ho_4654 (ho_5734 (ho_5733 k_6032 BOUND_VARIABLE_289932) BOUND_VARIABLE_382316) BOUND_VARIABLE_289934)) tptp.top_top_set_o))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_8542 BOUND_VARIABLE_289932) BOUND_VARIABLE_382316) BOUND_VARIABLE_289934) BOUND_VARIABLE_289935))))) (let ((_let_13152 (forall ((BOUND_VARIABLE_289885 tptp.set_nat) (BOUND_VARIABLE_382338 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_289887 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289887)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_6033 BOUND_VARIABLE_289885) BOUND_VARIABLE_382338)) tptp.bot_bot_set_o))) (ho_4593 (ho_4997 (ho_7788 k_8543 BOUND_VARIABLE_289885) BOUND_VARIABLE_382338) BOUND_VARIABLE_289887))))) (let ((_let_13153 (forall ((BOUND_VARIABLE_289837 tptp.set_nat) (BOUND_VARIABLE_382357 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_289839 tptp.set_o) (BOUND_VARIABLE_289840 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289840)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_6034 BOUND_VARIABLE_289837) BOUND_VARIABLE_382357)) BOUND_VARIABLE_289839))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_8544 BOUND_VARIABLE_289837) BOUND_VARIABLE_382357) BOUND_VARIABLE_289839) BOUND_VARIABLE_289840))))) (let ((_let_13154 (forall ((BOUND_VARIABLE_289790 tptp.set_nat) (BOUND_VARIABLE_382378 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_289792 tptp.set_o) (BOUND_VARIABLE_289793 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289793)) (ho_4699 (ho_4698 k_4697 (ho_5740 (ho_5739 (ho_5738 k_6035 BOUND_VARIABLE_289790) BOUND_VARIABLE_382378) BOUND_VARIABLE_289792)) tptp.top_top_set_o))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_8545 BOUND_VARIABLE_289790) BOUND_VARIABLE_382378) BOUND_VARIABLE_289792) BOUND_VARIABLE_289793))))) (let ((_let_13155 (forall ((BOUND_VARIABLE_289743 tptp.set_nat) (BOUND_VARIABLE_382400 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_289745 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289745)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6036 BOUND_VARIABLE_289743) BOUND_VARIABLE_382400)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_5006 (ho_7792 k_8546 BOUND_VARIABLE_289743) BOUND_VARIABLE_382400) BOUND_VARIABLE_289745))))) (let ((_let_13156 (forall ((BOUND_VARIABLE_289695 tptp.set_nat) (BOUND_VARIABLE_382419 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_289697 tptp.set_Product_unit) (BOUND_VARIABLE_289698 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289698)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6037 BOUND_VARIABLE_289695) BOUND_VARIABLE_382419)) BOUND_VARIABLE_289697))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_8547 BOUND_VARIABLE_289695) BOUND_VARIABLE_382419) BOUND_VARIABLE_289697) BOUND_VARIABLE_289698))))) (let ((_let_13157 (forall ((BOUND_VARIABLE_289648 tptp.set_nat) (BOUND_VARIABLE_382440 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_289650 tptp.set_Product_unit) (BOUND_VARIABLE_289651 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289651)) (ho_4699 (ho_4698 k_4697 (ho_5748 (ho_5747 (ho_5746 k_6038 BOUND_VARIABLE_289648) BOUND_VARIABLE_382440) BOUND_VARIABLE_289650)) tptp.top_top_set_o))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_8548 BOUND_VARIABLE_289648) BOUND_VARIABLE_382440) BOUND_VARIABLE_289650) BOUND_VARIABLE_289651))))) (let ((_let_13158 (forall ((BOUND_VARIABLE_289615 tptp.set_o) (BOUND_VARIABLE_382462 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_289617 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289617)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6040 k_6039 BOUND_VARIABLE_289615) BOUND_VARIABLE_382462)) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_8551 (ho_8550 k_8549 BOUND_VARIABLE_289615) BOUND_VARIABLE_382462) BOUND_VARIABLE_289617))))) (let ((_let_13159 (forall ((BOUND_VARIABLE_289580 tptp.set_o) (BOUND_VARIABLE_382489 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_289582 tptp.set_nat) (BOUND_VARIABLE_289583 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289583)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6040 k_6042 BOUND_VARIABLE_289580) BOUND_VARIABLE_382489)) BOUND_VARIABLE_289582))) (ho_5235 (ho_7473 (ho_8511 (ho_8553 k_8552 BOUND_VARIABLE_289580) BOUND_VARIABLE_382489) BOUND_VARIABLE_289582) BOUND_VARIABLE_289583))))) (let ((_let_13160 (forall ((BOUND_VARIABLE_382517 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_289568 tptp.set_nat) (BOUND_VARIABLE_289569 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_8554 BOUND_VARIABLE_382517) BOUND_VARIABLE_289568) BOUND_VARIABLE_289569) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289569)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_382517) BOUND_VARIABLE_289568))))))) (let ((_let_13161 (forall ((BOUND_VARIABLE_289557 tptp.set_Product_unit) (BOUND_VARIABLE_382534 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_289559 tptp.nat)) (= (ho_8512 (ho_8557 (ho_8556 k_8555 BOUND_VARIABLE_289557) BOUND_VARIABLE_382534) BOUND_VARIABLE_289559) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_289557) (ho_8512 BOUND_VARIABLE_382534 BOUND_VARIABLE_289559)))))) (let ((_let_13162 (forall ((BOUND_VARIABLE_289547 tptp.set_Product_unit) (BOUND_VARIABLE_382555 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_289549 tptp.nat)) (= (ho_8512 (ho_8557 (ho_8556 k_8558 BOUND_VARIABLE_289547) BOUND_VARIABLE_382555) BOUND_VARIABLE_289549) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_289547) (ho_8512 BOUND_VARIABLE_382555 BOUND_VARIABLE_289549)))))) (let ((_let_13163 (forall ((BOUND_VARIABLE_289514 tptp.set_o) (BOUND_VARIABLE_382566 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_289516 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289516)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6044 k_6043 BOUND_VARIABLE_289514) BOUND_VARIABLE_382566)) tptp.bot_bot_set_o))) (ho_5235 (ho_8561 (ho_8560 k_8559 BOUND_VARIABLE_289514) BOUND_VARIABLE_382566) BOUND_VARIABLE_289516))))) (let ((_let_13164 (forall ((BOUND_VARIABLE_289479 tptp.set_o) (BOUND_VARIABLE_382593 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_289481 tptp.set_o) (BOUND_VARIABLE_289482 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289482)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6044 k_6046 BOUND_VARIABLE_289479) BOUND_VARIABLE_382593)) BOUND_VARIABLE_289481))) (ho_5235 (ho_5234 (ho_8518 (ho_8563 k_8562 BOUND_VARIABLE_289479) BOUND_VARIABLE_382593) BOUND_VARIABLE_289481) BOUND_VARIABLE_289482))))) (let ((_let_13165 (forall ((BOUND_VARIABLE_382621 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_289467 tptp.set_o) (BOUND_VARIABLE_289468 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_8564 BOUND_VARIABLE_382621) BOUND_VARIABLE_289467) BOUND_VARIABLE_289468) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289468)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_382621) BOUND_VARIABLE_289467))))))) (let ((_let_13166 (forall ((BOUND_VARIABLE_289456 tptp.set_Product_unit) (BOUND_VARIABLE_382638 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_289458 Bool)) (= (ho_6101 (ho_8567 (ho_8566 k_8565 BOUND_VARIABLE_289456) BOUND_VARIABLE_382638) BOUND_VARIABLE_289458) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_289456) (ho_6101 BOUND_VARIABLE_382638 BOUND_VARIABLE_289458)))))) (let ((_let_13167 (forall ((BOUND_VARIABLE_289446 tptp.set_Product_unit) (BOUND_VARIABLE_382659 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_289448 Bool)) (= (ho_6101 (ho_8567 (ho_8566 k_8568 BOUND_VARIABLE_289446) BOUND_VARIABLE_382659) BOUND_VARIABLE_289448) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_289446) (ho_6101 BOUND_VARIABLE_382659 BOUND_VARIABLE_289448)))))) (let ((_let_13168 (forall ((BOUND_VARIABLE_289413 tptp.set_o) (BOUND_VARIABLE_382670 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_289415 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289415)) (ho_7507 (ho_7506 k_7505 (ho_6049 (ho_6048 k_6047 BOUND_VARIABLE_289413) BOUND_VARIABLE_382670)) tptp.bot_bo3957492148770167129t_unit))) (ho_5235 (ho_8571 (ho_8570 k_8569 BOUND_VARIABLE_289413) BOUND_VARIABLE_382670) BOUND_VARIABLE_289415))))) (let ((_let_13169 (forall ((BOUND_VARIABLE_289378 tptp.set_o) (BOUND_VARIABLE_382697 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_289380 tptp.set_Product_unit) (BOUND_VARIABLE_289381 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289381)) (ho_7507 (ho_7506 k_7505 (ho_6049 (ho_6048 k_6050 BOUND_VARIABLE_289378) BOUND_VARIABLE_382697)) BOUND_VARIABLE_289380))) (ho_5235 (ho_7501 (ho_8531 (ho_8573 k_8572 BOUND_VARIABLE_289378) BOUND_VARIABLE_382697) BOUND_VARIABLE_289380) BOUND_VARIABLE_289381))))) (let ((_let_13170 (forall ((BOUND_VARIABLE_382725 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_289366 tptp.set_Product_unit) (BOUND_VARIABLE_289367 Bool)) (= (ho_5235 (ho_7501 (ho_8531 k_8574 BOUND_VARIABLE_382725) BOUND_VARIABLE_289366) BOUND_VARIABLE_289367) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_289367)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_382725) BOUND_VARIABLE_289366))))))) (let ((_let_13171 (forall ((BOUND_VARIABLE_289355 tptp.set_Product_unit) (BOUND_VARIABLE_382742 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_289357 tptp.product_unit)) (= (ho_6114 (ho_8577 (ho_8576 k_8575 BOUND_VARIABLE_289355) BOUND_VARIABLE_382742) BOUND_VARIABLE_289357) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_289355) (ho_6114 BOUND_VARIABLE_382742 BOUND_VARIABLE_289357)))))) (let ((_let_13172 (forall ((BOUND_VARIABLE_289345 tptp.set_Product_unit) (BOUND_VARIABLE_382763 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_289347 tptp.product_unit)) (= (ho_6114 (ho_8577 (ho_8576 k_8578 BOUND_VARIABLE_289345) BOUND_VARIABLE_382763) BOUND_VARIABLE_289347) (ho_4885 (ho_4942 k_8331 BOUND_VARIABLE_289345) (ho_6114 BOUND_VARIABLE_382763 BOUND_VARIABLE_289347)))))) (let ((_let_13173 (forall ((BOUND_VARIABLE_382778 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_382777 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_289336 tptp.int)) (= (ho_4914 (ho_8181 (ho_8180 k_8579 BOUND_VARIABLE_382778) BOUND_VARIABLE_382777) BOUND_VARIABLE_289336) (ho_4914 (ho_5432 k_8189 (ho_4914 BOUND_VARIABLE_382778 BOUND_VARIABLE_289336)) (ho_4914 BOUND_VARIABLE_382777 BOUND_VARIABLE_289336)))))) (let ((_let_13174 (forall ((BOUND_VARIABLE_382794 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_382793 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_289325 tptp.int)) (= (ho_4891 (ho_6935 (ho_8185 k_8580 BOUND_VARIABLE_382794) BOUND_VARIABLE_382793) BOUND_VARIABLE_289325) (ho_4855 (ho_5457 k_8194 (ho_4891 BOUND_VARIABLE_382794 BOUND_VARIABLE_289325)) (ho_4891 BOUND_VARIABLE_382793 BOUND_VARIABLE_289325)))))) (let ((_let_13175 (forall ((BOUND_VARIABLE_382810 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_382809 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_289314 tptp.nat)) (= (ho_4925 (ho_6796 (ho_8171 k_8581 BOUND_VARIABLE_382810) BOUND_VARIABLE_382809) BOUND_VARIABLE_289314) (ho_4914 (ho_5432 k_8189 (ho_4925 BOUND_VARIABLE_382810 BOUND_VARIABLE_289314)) (ho_4925 BOUND_VARIABLE_382809 BOUND_VARIABLE_289314)))))) (let ((_let_13176 (forall ((BOUND_VARIABLE_382826 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_382825 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_289303 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8582 BOUND_VARIABLE_382826) BOUND_VARIABLE_382825) BOUND_VARIABLE_289303) (ho_4855 (ho_5457 k_8194 (ho_4855 BOUND_VARIABLE_382826 BOUND_VARIABLE_289303)) (ho_4855 BOUND_VARIABLE_382825 BOUND_VARIABLE_289303)))))) (let ((_let_13177 (forall ((BOUND_VARIABLE_382842 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_382841 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_289292 tptp.nat)) (= (ho_6357 (ho_6807 (ho_8428 k_8583 BOUND_VARIABLE_382842) BOUND_VARIABLE_382841) BOUND_VARIABLE_289292) (ho_6804 (ho_8051 k_8584 (ho_6357 BOUND_VARIABLE_382842 BOUND_VARIABLE_289292)) (ho_6357 BOUND_VARIABLE_382841 BOUND_VARIABLE_289292)))))) (let ((_let_13178 (forall ((BOUND_VARIABLE_382859 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_382858 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_289281 tptp.int)) (= (ho_4914 (ho_8181 (ho_8180 k_8585 BOUND_VARIABLE_382859) BOUND_VARIABLE_382858) BOUND_VARIABLE_289281) (ho_4914 (ho_5432 k_8172 (ho_4914 BOUND_VARIABLE_382859 BOUND_VARIABLE_289281)) (ho_4914 BOUND_VARIABLE_382858 BOUND_VARIABLE_289281)))))) (let ((_let_13179 (forall ((BOUND_VARIABLE_382875 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_382874 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_289270 tptp.int)) (= (ho_4891 (ho_6935 (ho_8185 k_8586 BOUND_VARIABLE_382875) BOUND_VARIABLE_382874) BOUND_VARIABLE_289270) (ho_4855 (ho_5457 k_8183 (ho_4891 BOUND_VARIABLE_382875 BOUND_VARIABLE_289270)) (ho_4891 BOUND_VARIABLE_382874 BOUND_VARIABLE_289270)))))) (let ((_let_13180 (forall ((BOUND_VARIABLE_382891 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_382890 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_289259 tptp.nat)) (= (ho_4925 (ho_6796 (ho_8171 k_8587 BOUND_VARIABLE_382891) BOUND_VARIABLE_382890) BOUND_VARIABLE_289259) (ho_4914 (ho_5432 k_8172 (ho_4925 BOUND_VARIABLE_382891 BOUND_VARIABLE_289259)) (ho_4925 BOUND_VARIABLE_382890 BOUND_VARIABLE_289259)))))) (let ((_let_13181 (forall ((BOUND_VARIABLE_382907 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_382906 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_289248 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_8588 BOUND_VARIABLE_382907) BOUND_VARIABLE_382906) BOUND_VARIABLE_289248) (ho_4855 (ho_5457 k_8183 (ho_4855 BOUND_VARIABLE_382907 BOUND_VARIABLE_289248)) (ho_4855 BOUND_VARIABLE_382906 BOUND_VARIABLE_289248)))))) (let ((_let_13182 (forall ((BOUND_VARIABLE_382923 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_382922 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_289237 tptp.nat)) (= (ho_6357 (ho_6807 (ho_8428 k_8589 BOUND_VARIABLE_382923) BOUND_VARIABLE_382922) BOUND_VARIABLE_289237) (ho_6804 (ho_8051 k_8590 (ho_6357 BOUND_VARIABLE_382923 BOUND_VARIABLE_289237)) (ho_6357 BOUND_VARIABLE_382922 BOUND_VARIABLE_289237)))))) (let ((_let_13183 (forall ((BOUND_VARIABLE_382939 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_289193 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289194 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289195 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289195)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_382939) (ho_4495 k_4494 (ho_5018 (ho_5074 k_6051 BOUND_VARIABLE_289193) BOUND_VARIABLE_289194))))) (ho_4593 (ho_5107 (ho_8226 (ho_8225 k_8591 BOUND_VARIABLE_382939) BOUND_VARIABLE_289193) BOUND_VARIABLE_289194) BOUND_VARIABLE_289195))))) (let ((_let_13184 (forall ((BOUND_VARIABLE_289135 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_382958 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_289137 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289138 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289138)) (ho_4699 (ho_4698 k_4697 (ho_5921 (ho_5920 (ho_5919 k_6052 BOUND_VARIABLE_289135) BOUND_VARIABLE_382958) BOUND_VARIABLE_289137)) tptp.top_top_set_o))) (ho_4593 (ho_5107 (ho_5106 (ho_8294 k_8592 BOUND_VARIABLE_289135) BOUND_VARIABLE_382958) BOUND_VARIABLE_289137) BOUND_VARIABLE_289138))))) (let ((_let_13185 (forall ((BOUND_VARIABLE_382985 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_289099 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289100 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289101 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289101)) (ho_5118 (ho_5117 k_5116 BOUND_VARIABLE_382985) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_6053 BOUND_VARIABLE_289099) BOUND_VARIABLE_289100)) tptp.top_top_set_o))))) (ho_4593 (ho_5115 (ho_8231 (ho_8230 k_8593 BOUND_VARIABLE_382985) BOUND_VARIABLE_289099) BOUND_VARIABLE_289100) BOUND_VARIABLE_289101))))) (let ((_let_13186 (forall ((BOUND_VARIABLE_289041 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_383004 |u_(-> tptp.produc859450856879609959at_nat tptp.set_nat)|) (BOUND_VARIABLE_289043 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289044 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_289044)) (ho_4699 (ho_4698 k_4697 (ho_5926 (ho_5925 (ho_5924 k_6054 BOUND_VARIABLE_289041) BOUND_VARIABLE_383004) BOUND_VARIABLE_289043)) tptp.top_top_set_o))) (ho_4593 (ho_5115 (ho_5114 (ho_8297 k_8594 BOUND_VARIABLE_289041) BOUND_VARIABLE_383004) BOUND_VARIABLE_289043) BOUND_VARIABLE_289044))))) (let ((_let_13187 (forall ((BOUND_VARIABLE_383029 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_288999 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289000 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289001 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_289001)) (ho_5126 (ho_5125 k_5124 BOUND_VARIABLE_383029) (ho_4495 k_4494 (ho_5018 (ho_5074 k_6055 BOUND_VARIABLE_288999) BOUND_VARIABLE_289000))))) (ho_4544 (ho_5018 (ho_5074 (ho_8299 k_8595 BOUND_VARIABLE_383029) BOUND_VARIABLE_288999) BOUND_VARIABLE_289000) BOUND_VARIABLE_289001))))) (let ((_let_13188 (forall ((BOUND_VARIABLE_288941 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_383048 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_288943 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288944 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_288944)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_5930 (ho_5929 k_6056 BOUND_VARIABLE_288941) BOUND_VARIABLE_383048) BOUND_VARIABLE_288943)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5123 (ho_8301 k_8596 BOUND_VARIABLE_288941) BOUND_VARIABLE_383048) BOUND_VARIABLE_288943) BOUND_VARIABLE_288944))))) (let ((_let_13189 (forall ((BOUND_VARIABLE_288909 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288910 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288911 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_288911)) (ho_4959 (ho_4958 k_4957 (ho_4647 (ho_4667 k_6057 BOUND_VARIABLE_288909) BOUND_VARIABLE_288910)) tptp.top_top_set_o))) (ho_4544 (ho_5018 (ho_5074 k_8597 BOUND_VARIABLE_288909) BOUND_VARIABLE_288910) BOUND_VARIABLE_288911))))) (let ((_let_13190 (forall ((BOUND_VARIABLE_288893 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_383091 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_288895 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288896 Bool)) (let ((_let_1 (ho_8308 k_8307 BOUND_VARIABLE_383091))) (= (ho_5499 (ho_8257 (ho_8306 (ho_8305 k_8598 BOUND_VARIABLE_288893) BOUND_VARIABLE_383091) BOUND_VARIABLE_288895) BOUND_VARIABLE_288896) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_288896) (ho_5504 k_5503 (ho_8309 _let_1 BOUND_VARIABLE_288893))) (ho_5504 k_5503 (ho_8309 _let_1 BOUND_VARIABLE_288895)))))))) (let ((_let_13191 (forall ((BOUND_VARIABLE_383113 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_288857 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288858 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288859 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_288859)) (ho_5134 (ho_5133 k_5132 BOUND_VARIABLE_383113) (ho_5504 k_5503 (ho_5502 (ho_5501 k_5500 (ho_5552 (ho_5551 k_6058 BOUND_VARIABLE_288857) BOUND_VARIABLE_288858)) tptp.top_top_set_o))))) (ho_4544 (ho_5131 (ho_8312 (ho_8311 k_8599 BOUND_VARIABLE_383113) BOUND_VARIABLE_288857) BOUND_VARIABLE_288858) BOUND_VARIABLE_288859))))) (let ((_let_13192 (forall ((BOUND_VARIABLE_288799 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_383132 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)|) (BOUND_VARIABLE_288801 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288802 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_288802)) (ho_4959 (ho_4958 k_4957 (ho_5900 (ho_5935 (ho_5934 k_6059 BOUND_VARIABLE_288799) BOUND_VARIABLE_383132) BOUND_VARIABLE_288801)) tptp.top_top_set_o))) (ho_4544 (ho_5131 (ho_5130 (ho_8314 k_8600 BOUND_VARIABLE_288799) BOUND_VARIABLE_383132) BOUND_VARIABLE_288801) BOUND_VARIABLE_288802))))) (let ((_let_13193 (forall ((BOUND_VARIABLE_288789 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288790 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288791 Bool)) (= (ho_5499 (ho_5552 (ho_5551 k_8601 BOUND_VARIABLE_288789) BOUND_VARIABLE_288790) BOUND_VARIABLE_288791) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_288791) BOUND_VARIABLE_288789) BOUND_VARIABLE_288790))))) (let ((_let_13194 (forall ((BOUND_VARIABLE_288773 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_383170 |u_(-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)|) (BOUND_VARIABLE_288775 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288776 Bool)) (let ((_let_1 (ho_8321 k_8320 BOUND_VARIABLE_383170))) (= (ho_5499 (ho_5552 (ho_8319 (ho_8318 k_8602 BOUND_VARIABLE_288773) BOUND_VARIABLE_383170) BOUND_VARIABLE_288775) BOUND_VARIABLE_288776) (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_288776) (ho_5504 k_5503 (ho_8322 _let_1 BOUND_VARIABLE_288773))) (ho_5504 k_5503 (ho_8322 _let_1 BOUND_VARIABLE_288775)))))))) (let ((_let_13195 (forall ((BOUND_VARIABLE_383193 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_383192 |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_383191 |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_288762 tptp.product_prod_int_int)) (= (ho_6062 (ho_8606 (ho_8605 (ho_8604 k_8603 BOUND_VARIABLE_383193) BOUND_VARIABLE_383192) BOUND_VARIABLE_383191) BOUND_VARIABLE_288762) (ho_5889 (ho_8609 (ho_8608 k_8607 (ho_4599 BOUND_VARIABLE_383193 BOUND_VARIABLE_288762)) (ho_6062 BOUND_VARIABLE_383192 BOUND_VARIABLE_288762)) (ho_6062 BOUND_VARIABLE_383191 BOUND_VARIABLE_288762)))))) (let ((_let_13196 (forall ((BOUND_VARIABLE_383228 |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_383227 |u_(-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_288699 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_383226 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_288701 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_288701)) (ho_4959 (ho_4958 k_4957 (ho_6070 (ho_6069 (ho_6068 (ho_6067 k_6066 BOUND_VARIABLE_383228) BOUND_VARIABLE_383227) BOUND_VARIABLE_288699) BOUND_VARIABLE_383226)) tptp.top_top_set_o))) (ho_4544 (ho_8614 (ho_8613 (ho_8612 (ho_8611 k_8610 BOUND_VARIABLE_383228) BOUND_VARIABLE_383227) BOUND_VARIABLE_288699) BOUND_VARIABLE_383226) BOUND_VARIABLE_288701))))) (let ((_let_13197 (forall ((BOUND_VARIABLE_383275 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_383274 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_383273 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_288686 tptp.nat)) (= (ho_4873 (ho_8618 (ho_8617 (ho_8616 k_8615 BOUND_VARIABLE_383275) BOUND_VARIABLE_383274) BOUND_VARIABLE_383273) BOUND_VARIABLE_288686) (ho_5889 (ho_8609 (ho_8608 k_8607 (ho_4593 BOUND_VARIABLE_383275 BOUND_VARIABLE_288686)) (ho_4873 BOUND_VARIABLE_383274 BOUND_VARIABLE_288686)) (ho_4873 BOUND_VARIABLE_383273 BOUND_VARIABLE_288686)))))) (let ((_let_13198 (forall ((BOUND_VARIABLE_383303 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_383302 |u_(-> tptp.nat tptp.produc3843707927480180839at_nat)|) (BOUND_VARIABLE_288623 tptp.set_nat) (BOUND_VARIABLE_383301 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_288625 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_288625)) (ho_4959 (ho_4958 k_4957 (ho_6078 (ho_6077 (ho_6076 (ho_6075 k_6074 BOUND_VARIABLE_383303) BOUND_VARIABLE_383302) BOUND_VARIABLE_288623) BOUND_VARIABLE_383301)) tptp.top_top_set_o))) (ho_4544 (ho_8623 (ho_8622 (ho_8621 (ho_8620 k_8619 BOUND_VARIABLE_383303) BOUND_VARIABLE_383302) BOUND_VARIABLE_288623) BOUND_VARIABLE_383301) BOUND_VARIABLE_288625))))) (let ((_let_13199 (forall ((BOUND_VARIABLE_383350 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_383349 |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_383348 |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_288610 tptp.product_prod_nat_nat)) (= (ho_7007 (ho_8627 (ho_8626 (ho_8625 k_8624 BOUND_VARIABLE_383350) BOUND_VARIABLE_383349) BOUND_VARIABLE_383348) BOUND_VARIABLE_288610) (ho_8266 (ho_8630 (ho_8629 k_8628 (ho_4575 BOUND_VARIABLE_383350 BOUND_VARIABLE_288610)) (ho_7007 BOUND_VARIABLE_383349 BOUND_VARIABLE_288610)) (ho_7007 BOUND_VARIABLE_383348 BOUND_VARIABLE_288610)))))) (let ((_let_13200 (forall ((BOUND_VARIABLE_383398 |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_383388 |u_(-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_288572 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_383383 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_288574 Bool)) (let ((_let_1 (ho_5638 k_5637 BOUND_VARIABLE_288572))) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_288574) (ho_6753 (ho_8632 k_8631 BOUND_VARIABLE_383398) (ho_4521 _let_1 (ho_4515 k_4514 BOUND_VARIABLE_383383)))) (ho_6753 (ho_8632 k_8631 BOUND_VARIABLE_383388) (ho_4521 _let_1 (ho_4515 k_4514 (ho_6080 k_6079 BOUND_VARIABLE_383383))))) (ho_5499 (ho_8637 (ho_8636 (ho_8635 (ho_8634 k_8633 BOUND_VARIABLE_383398) BOUND_VARIABLE_383388) BOUND_VARIABLE_288572) BOUND_VARIABLE_383383) BOUND_VARIABLE_288574)))))) (let ((_let_13201 (forall ((BOUND_VARIABLE_383443 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_383442 |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_383439 |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_288559 tptp.product_prod_int_int)) (= (ho_8638 (ho_8642 (ho_8641 (ho_8640 k_8639 BOUND_VARIABLE_383443) BOUND_VARIABLE_383442) BOUND_VARIABLE_383439) BOUND_VARIABLE_288559) (ho_8266 (ho_8630 (ho_8629 k_8628 (ho_4599 BOUND_VARIABLE_383443 BOUND_VARIABLE_288559)) (ho_8638 BOUND_VARIABLE_383442 BOUND_VARIABLE_288559)) (ho_8638 BOUND_VARIABLE_383439 BOUND_VARIABLE_288559)))))) (let ((_let_13202 (forall ((BOUND_VARIABLE_383487 |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_383474 |u_(-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_288521 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_383469 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_288523 Bool)) (let ((_let_1 (ho_6061 k_6060 BOUND_VARIABLE_288521))) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_288523) (ho_8645 (ho_8644 k_8643 BOUND_VARIABLE_383487) (ho_4607 _let_1 (ho_4601 k_4600 BOUND_VARIABLE_383469)))) (ho_8645 (ho_8644 k_8643 BOUND_VARIABLE_383474) (ho_4607 _let_1 (ho_4601 k_4600 (ho_5214 k_6081 BOUND_VARIABLE_383469))))) (ho_5499 (ho_8650 (ho_8649 (ho_8648 (ho_8647 k_8646 BOUND_VARIABLE_383487) BOUND_VARIABLE_383474) BOUND_VARIABLE_288521) BOUND_VARIABLE_383469) BOUND_VARIABLE_288523)))))) (let ((_let_13203 (forall ((BOUND_VARIABLE_383532 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_383531 |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_383528 |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_288508 tptp.nat)) (= (ho_8651 (ho_8655 (ho_8654 (ho_8653 k_8652 BOUND_VARIABLE_383532) BOUND_VARIABLE_383531) BOUND_VARIABLE_383528) BOUND_VARIABLE_288508) (ho_8266 (ho_8630 (ho_8629 k_8628 (ho_4593 BOUND_VARIABLE_383532 BOUND_VARIABLE_288508)) (ho_8651 BOUND_VARIABLE_383531 BOUND_VARIABLE_288508)) (ho_8651 BOUND_VARIABLE_383528 BOUND_VARIABLE_288508)))))) (let ((_let_13204 (forall ((BOUND_VARIABLE_383576 |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_383563 |u_(-> tptp.nat tptp.produc859450856879609959at_nat)|) (BOUND_VARIABLE_288470 tptp.set_nat) (BOUND_VARIABLE_383558 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_288472 Bool)) (let ((_let_1 (ho_4559 k_4928 BOUND_VARIABLE_288470))) (= (ho_5556 (ho_5555 (ho_5554 k_5553 BOUND_VARIABLE_288472) (ho_8658 (ho_8657 k_8656 BOUND_VARIABLE_383576) (ho_4560 _let_1 (ho_4845 k_4844 BOUND_VARIABLE_383558)))) (ho_8658 (ho_8657 k_8656 BOUND_VARIABLE_383563) (ho_4560 _let_1 (ho_4845 k_4844 (ho_5216 k_6082 BOUND_VARIABLE_383558))))) (ho_5499 (ho_8663 (ho_8662 (ho_8661 (ho_8660 k_8659 BOUND_VARIABLE_383576) BOUND_VARIABLE_383563) BOUND_VARIABLE_288470) BOUND_VARIABLE_383558) BOUND_VARIABLE_288472)))))) (let ((_let_13205 (forall ((BOUND_VARIABLE_383618 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_383617 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_383616 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_288457 tptp.nat)) (= (ho_4925 (ho_6796 (ho_8171 (ho_8665 k_8664 BOUND_VARIABLE_383618) BOUND_VARIABLE_383617) BOUND_VARIABLE_383616) BOUND_VARIABLE_288457) (ho_4914 (ho_5432 (ho_5435 k_5434 (ho_4593 BOUND_VARIABLE_383618 BOUND_VARIABLE_288457)) (ho_4925 BOUND_VARIABLE_383617 BOUND_VARIABLE_288457)) (ho_4925 BOUND_VARIABLE_383616 BOUND_VARIABLE_288457)))))) (let ((_let_13206 (forall ((BOUND_VARIABLE_383639 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_288447 tptp.nat)) (= (ho_4593 (ho_5216 k_8666 BOUND_VARIABLE_383639) BOUND_VARIABLE_288447) (not (ho_4593 BOUND_VARIABLE_383639 BOUND_VARIABLE_288447)))))) (let ((_let_13207 (forall ((BOUND_VARIABLE_383654 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_383653 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_383652 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_288435 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 (ho_8668 k_8667 BOUND_VARIABLE_383654) BOUND_VARIABLE_383653) BOUND_VARIABLE_383652) BOUND_VARIABLE_288435) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_4593 BOUND_VARIABLE_383654 BOUND_VARIABLE_288435)) (ho_4855 BOUND_VARIABLE_383653 BOUND_VARIABLE_288435)) (ho_4855 BOUND_VARIABLE_383652 BOUND_VARIABLE_288435)))))) (let ((_let_13208 (forall ((BOUND_VARIABLE_383675 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_383674 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_288372 tptp.set_nat) (BOUND_VARIABLE_383673 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_288374 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_288374)) (ho_4699 (ho_4698 k_4697 (ho_4861 (ho_6086 (ho_6085 (ho_6084 k_6083 BOUND_VARIABLE_383675) BOUND_VARIABLE_383674) BOUND_VARIABLE_288372) BOUND_VARIABLE_383673)) tptp.top_top_set_o))) (ho_4593 (ho_5216 (ho_8404 (ho_8671 (ho_8670 k_8669 BOUND_VARIABLE_383675) BOUND_VARIABLE_383674) BOUND_VARIABLE_288372) BOUND_VARIABLE_383673) BOUND_VARIABLE_288374))))) (let ((_let_13209 (forall ((BOUND_VARIABLE_383714 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_383713 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_383712 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_288359 tptp.nat)) (= (ho_6357 (ho_6807 (ho_8428 (ho_8673 k_8672 BOUND_VARIABLE_383714) BOUND_VARIABLE_383713) BOUND_VARIABLE_383712) BOUND_VARIABLE_288359) (ho_6804 (ho_8051 (ho_8430 k_8429 (ho_4593 BOUND_VARIABLE_383714 BOUND_VARIABLE_288359)) (ho_6357 BOUND_VARIABLE_383713 BOUND_VARIABLE_288359)) (ho_6357 BOUND_VARIABLE_383712 BOUND_VARIABLE_288359)))))) (let ((_let_13210 (forall ((BOUND_VARIABLE_383735 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_288349 tptp.nat)) (= (ho_4593 (ho_5216 k_8674 BOUND_VARIABLE_383735) BOUND_VARIABLE_288349) (not (ho_4593 BOUND_VARIABLE_383735 BOUND_VARIABLE_288349)))))) (let ((_let_13211 (forall ((BOUND_VARIABLE_383750 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_383749 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_383748 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_288337 tptp.int)) (= (ho_4914 (ho_8181 (ho_8180 (ho_8676 k_8675 BOUND_VARIABLE_383750) BOUND_VARIABLE_383749) BOUND_VARIABLE_383748) BOUND_VARIABLE_288337) (ho_4914 (ho_5432 (ho_5435 k_5434 (ho_5218 BOUND_VARIABLE_383750 BOUND_VARIABLE_288337)) (ho_4914 BOUND_VARIABLE_383749 BOUND_VARIABLE_288337)) (ho_4914 BOUND_VARIABLE_383748 BOUND_VARIABLE_288337)))))) (let ((_let_13212 (forall ((BOUND_VARIABLE_383771 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_288327 tptp.int)) (= (ho_5218 (ho_5220 k_8677 BOUND_VARIABLE_383771) BOUND_VARIABLE_288327) (not (ho_5218 BOUND_VARIABLE_383771 BOUND_VARIABLE_288327)))))) (let ((_let_13213 (forall ((BOUND_VARIABLE_383786 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_383785 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_383784 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_288315 tptp.int)) (= (ho_4891 (ho_6935 (ho_8185 (ho_8679 k_8678 BOUND_VARIABLE_383786) BOUND_VARIABLE_383785) BOUND_VARIABLE_383784) BOUND_VARIABLE_288315) (ho_4855 (ho_5457 (ho_5459 k_5458 (ho_5218 BOUND_VARIABLE_383786 BOUND_VARIABLE_288315)) (ho_4891 BOUND_VARIABLE_383785 BOUND_VARIABLE_288315)) (ho_4891 BOUND_VARIABLE_383784 BOUND_VARIABLE_288315)))))) (let ((_let_13214 (forall ((BOUND_VARIABLE_383807 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_383806 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_288252 tptp.set_int) (BOUND_VARIABLE_383805 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_288254 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_288254)) (ho_4699 (ho_4698 k_4697 (ho_6091 (ho_6090 (ho_6089 (ho_6088 k_6087 BOUND_VARIABLE_383807) BOUND_VARIABLE_383806) BOUND_VARIABLE_288252) BOUND_VARIABLE_383805)) tptp.top_top_set_o))) (ho_4593 (ho_8684 (ho_8683 (ho_8682 (ho_8681 k_8680 BOUND_VARIABLE_383807) BOUND_VARIABLE_383806) BOUND_VARIABLE_288252) BOUND_VARIABLE_383805) BOUND_VARIABLE_288254))))) (let ((_let_13215 (forall ((BOUND_VARIABLE_383851 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_288238 tptp.set_nat) (BOUND_VARIABLE_288239 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8685 BOUND_VARIABLE_383851) BOUND_VARIABLE_288238) BOUND_VARIABLE_288239) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_288239)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_383851) BOUND_VARIABLE_288238))))))) (let ((_let_13216 (forall ((BOUND_VARIABLE_383865 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_288201 tptp.set_nat) (BOUND_VARIABLE_288202 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_288202)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6092 BOUND_VARIABLE_383865)) BOUND_VARIABLE_288201))) (ho_4575 (ho_4758 (ho_5290 k_8686 BOUND_VARIABLE_383865) BOUND_VARIABLE_288201) BOUND_VARIABLE_288202))))) (let ((_let_13217 (forall ((BOUND_VARIABLE_383884 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_383883 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_288168 tptp.set_nat) (BOUND_VARIABLE_288169 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_288169)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_5612 k_6093 BOUND_VARIABLE_383884) BOUND_VARIABLE_383883)) BOUND_VARIABLE_288168))) (ho_5218 (ho_7557 (ho_7585 (ho_7599 k_8687 BOUND_VARIABLE_383884) BOUND_VARIABLE_383883) BOUND_VARIABLE_288168) BOUND_VARIABLE_288169))))) (let ((_let_13218 (forall ((BOUND_VARIABLE_383908 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_288154 tptp.set_nat) (BOUND_VARIABLE_288155 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_8688 BOUND_VARIABLE_383908) BOUND_VARIABLE_288154) BOUND_VARIABLE_288155) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_288155)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_383908) BOUND_VARIABLE_288154))))))) (let ((_let_13219 (forall ((BOUND_VARIABLE_383924 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_383922 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_288137 tptp.nat)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_383924) (ho_5594 BOUND_VARIABLE_383922 BOUND_VARIABLE_288137))))) (ho_4925 (ho_8691 (ho_8690 k_8689 BOUND_VARIABLE_383924) BOUND_VARIABLE_383922) BOUND_VARIABLE_288137)))))) (let ((_let_13220 (forall ((BOUND_VARIABLE_383949 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_383948 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_288103 tptp.set_o) (BOUND_VARIABLE_288104 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_288104)) (ho_7566 (ho_7565 k_7564 (ho_6097 (ho_6096 k_6095 BOUND_VARIABLE_383949) BOUND_VARIABLE_383948)) BOUND_VARIABLE_288103))) (ho_5218 (ho_7570 (ho_8694 (ho_8693 k_8692 BOUND_VARIABLE_383949) BOUND_VARIABLE_383948) BOUND_VARIABLE_288103) BOUND_VARIABLE_288104))))) (let ((_let_13221 (forall ((BOUND_VARIABLE_383981 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_288089 tptp.set_o) (BOUND_VARIABLE_288090 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_8695 BOUND_VARIABLE_383981) BOUND_VARIABLE_288089) BOUND_VARIABLE_288090) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_288090)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_383981) BOUND_VARIABLE_288089))))))) (let ((_let_13222 (forall ((BOUND_VARIABLE_383997 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_383995 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_288072 Bool)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_383997) (ho_6018 BOUND_VARIABLE_383995 BOUND_VARIABLE_288072))))) (ho_6094 (ho_8698 (ho_8697 k_8696 BOUND_VARIABLE_383997) BOUND_VARIABLE_383995) BOUND_VARIABLE_288072)))))) (let ((_let_13223 (forall ((BOUND_VARIABLE_384022 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384021 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_288038 tptp.set_o) (BOUND_VARIABLE_288039 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_288039)) (ho_7566 (ho_7565 k_7564 (ho_6105 (ho_6104 k_6103 BOUND_VARIABLE_384022) BOUND_VARIABLE_384021)) BOUND_VARIABLE_288038))) (ho_5218 (ho_7570 (ho_8701 (ho_8700 k_8699 BOUND_VARIABLE_384022) BOUND_VARIABLE_384021) BOUND_VARIABLE_288038) BOUND_VARIABLE_288039))))) (let ((_let_13224 (forall ((BOUND_VARIABLE_384053 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384051 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_288020 Bool)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_384053) (ho_6101 BOUND_VARIABLE_384051 BOUND_VARIABLE_288020))))) (ho_6094 (ho_8704 (ho_8703 k_8702 BOUND_VARIABLE_384053) BOUND_VARIABLE_384051) BOUND_VARIABLE_288020)))))) (let ((_let_13225 (forall ((BOUND_VARIABLE_384078 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384077 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_287986 tptp.set_o) (BOUND_VARIABLE_287987 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287987)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_5615 k_6109 BOUND_VARIABLE_384078) BOUND_VARIABLE_384077)) BOUND_VARIABLE_287986))) (ho_5218 (ho_7570 (ho_7590 (ho_7602 k_8705 BOUND_VARIABLE_384078) BOUND_VARIABLE_384077) BOUND_VARIABLE_287986) BOUND_VARIABLE_287987))))) (let ((_let_13226 (forall ((BOUND_VARIABLE_384102 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_287972 tptp.set_o) (BOUND_VARIABLE_287973 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_8706 BOUND_VARIABLE_384102) BOUND_VARIABLE_287972) BOUND_VARIABLE_287973) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287973)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_384102) BOUND_VARIABLE_287972))))))) (let ((_let_13227 (forall ((BOUND_VARIABLE_384118 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384116 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_287955 Bool)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_384118) (ho_5598 BOUND_VARIABLE_384116 BOUND_VARIABLE_287955))))) (ho_6094 (ho_8709 (ho_8708 k_8707 BOUND_VARIABLE_384118) BOUND_VARIABLE_384116) BOUND_VARIABLE_287955)))))) (let ((_let_13228 (forall ((BOUND_VARIABLE_384143 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384142 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_287921 tptp.set_Product_unit) (BOUND_VARIABLE_287922 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287922)) (ho_8712 (ho_8711 k_8710 (ho_6112 (ho_6111 k_6110 BOUND_VARIABLE_384143) BOUND_VARIABLE_384142)) BOUND_VARIABLE_287921))) (ho_5218 (ho_8716 (ho_8715 (ho_8714 k_8713 BOUND_VARIABLE_384143) BOUND_VARIABLE_384142) BOUND_VARIABLE_287921) BOUND_VARIABLE_287922))))) (let ((_let_13229 (forall ((BOUND_VARIABLE_384186 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_287907 tptp.set_Product_unit) (BOUND_VARIABLE_287908 Bool)) (= (ho_5235 (ho_7501 (ho_8531 k_8717 BOUND_VARIABLE_384186) BOUND_VARIABLE_287907) BOUND_VARIABLE_287908) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_287908)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_384186) BOUND_VARIABLE_287907))))))) (let ((_let_13230 (forall ((BOUND_VARIABLE_384202 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384200 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_287890 tptp.product_unit)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_384202) (ho_6023 BOUND_VARIABLE_384200 BOUND_VARIABLE_287890))))) (ho_6102 (ho_8720 (ho_8719 k_8718 BOUND_VARIABLE_384202) BOUND_VARIABLE_384200) BOUND_VARIABLE_287890)))))) (let ((_let_13231 (forall ((BOUND_VARIABLE_384227 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384226 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_287856 tptp.set_Product_unit) (BOUND_VARIABLE_287857 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287857)) (ho_8712 (ho_8711 k_8710 (ho_6117 (ho_6116 k_6115 BOUND_VARIABLE_384227) BOUND_VARIABLE_384226)) BOUND_VARIABLE_287856))) (ho_5218 (ho_8716 (ho_8723 (ho_8722 k_8721 BOUND_VARIABLE_384227) BOUND_VARIABLE_384226) BOUND_VARIABLE_287856) BOUND_VARIABLE_287857))))) (let ((_let_13232 (forall ((BOUND_VARIABLE_384258 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384256 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_287838 tptp.product_unit)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_384258) (ho_6114 BOUND_VARIABLE_384256 BOUND_VARIABLE_287838))))) (ho_6102 (ho_8726 (ho_8725 k_8724 BOUND_VARIABLE_384258) BOUND_VARIABLE_384256) BOUND_VARIABLE_287838)))))) (let ((_let_13233 (forall ((BOUND_VARIABLE_384283 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384282 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_287804 tptp.set_Product_unit) (BOUND_VARIABLE_287805 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287805)) (ho_8712 (ho_8711 k_8710 (ho_6120 (ho_6119 k_6118 BOUND_VARIABLE_384283) BOUND_VARIABLE_384282)) BOUND_VARIABLE_287804))) (ho_5218 (ho_8716 (ho_8729 (ho_8728 k_8727 BOUND_VARIABLE_384283) BOUND_VARIABLE_384282) BOUND_VARIABLE_287804) BOUND_VARIABLE_287805))))) (let ((_let_13234 (forall ((BOUND_VARIABLE_384315 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_287790 tptp.set_Product_unit) (BOUND_VARIABLE_287791 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_8730 BOUND_VARIABLE_384315) BOUND_VARIABLE_287790) BOUND_VARIABLE_287791) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287791)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_384315) BOUND_VARIABLE_287790))))))) (let ((_let_13235 (forall ((BOUND_VARIABLE_384331 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384329 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_287773 tptp.product_unit)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_384331) (ho_6113 BOUND_VARIABLE_384329 BOUND_VARIABLE_287773))))) (ho_6102 (ho_8733 (ho_8732 k_8731 BOUND_VARIABLE_384331) BOUND_VARIABLE_384329) BOUND_VARIABLE_287773)))))) (let ((_let_13236 (forall ((BOUND_VARIABLE_384356 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384355 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_287739 tptp.set_int) (BOUND_VARIABLE_287740 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287740)) (ho_7580 (ho_7579 k_7578 (ho_6124 (ho_6123 k_6122 BOUND_VARIABLE_384356) BOUND_VARIABLE_384355)) BOUND_VARIABLE_287739))) (ho_5218 (ho_5229 (ho_8736 (ho_8735 k_8734 BOUND_VARIABLE_384356) BOUND_VARIABLE_384355) BOUND_VARIABLE_287739) BOUND_VARIABLE_287740))))) (let ((_let_13237 (forall ((BOUND_VARIABLE_384388 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_287725 tptp.set_int) (BOUND_VARIABLE_287726 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_8737 BOUND_VARIABLE_384388) BOUND_VARIABLE_287725) BOUND_VARIABLE_287726) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_287726)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_384388) BOUND_VARIABLE_287725))))))) (let ((_let_13238 (forall ((BOUND_VARIABLE_384408 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384406 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_287708 tptp.int)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_384408) (ho_6121 BOUND_VARIABLE_384406 BOUND_VARIABLE_287708))))) (ho_4914 (ho_8741 (ho_8740 k_8739 BOUND_VARIABLE_384408) BOUND_VARIABLE_384406) BOUND_VARIABLE_287708)))))) (let ((_let_13239 (forall ((BOUND_VARIABLE_384433 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384432 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_287674 tptp.set_int) (BOUND_VARIABLE_287675 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287675)) (ho_7580 (ho_7579 k_7578 (ho_6128 (ho_6127 k_6126 BOUND_VARIABLE_384433) BOUND_VARIABLE_384432)) BOUND_VARIABLE_287674))) (ho_5218 (ho_5229 (ho_8744 (ho_8743 k_8742 BOUND_VARIABLE_384433) BOUND_VARIABLE_384432) BOUND_VARIABLE_287674) BOUND_VARIABLE_287675))))) (let ((_let_13240 (forall ((BOUND_VARIABLE_384464 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384462 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_287656 tptp.int)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_384464) (ho_6125 BOUND_VARIABLE_384462 BOUND_VARIABLE_287656))))) (ho_4914 (ho_8747 (ho_8746 k_8745 BOUND_VARIABLE_384464) BOUND_VARIABLE_384462) BOUND_VARIABLE_287656)))))) (let ((_let_13241 (forall ((BOUND_VARIABLE_384489 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384488 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_287622 tptp.set_int) (BOUND_VARIABLE_287623 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287623)) (ho_7580 (ho_7579 k_7578 (ho_5610 (ho_5609 k_6129 BOUND_VARIABLE_384489) BOUND_VARIABLE_384488)) BOUND_VARIABLE_287622))) (ho_5218 (ho_5229 (ho_7577 (ho_7596 k_8748 BOUND_VARIABLE_384489) BOUND_VARIABLE_384488) BOUND_VARIABLE_287622) BOUND_VARIABLE_287623))))) (let ((_let_13242 (forall ((BOUND_VARIABLE_384513 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_287608 tptp.set_int) (BOUND_VARIABLE_287609 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_8749 BOUND_VARIABLE_384513) BOUND_VARIABLE_287608) BOUND_VARIABLE_287609) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287609)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_384513) BOUND_VARIABLE_287608))))))) (let ((_let_13243 (forall ((BOUND_VARIABLE_384529 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384527 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_287591 tptp.int)) (let ((_let_1 (ho_6665 (ho_5427 (ho_5426 k_5425 k_5424) k_5422) (ho_5467 k_5466 k_6664)))) (= (ho_4914 _let_1 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 _let_1) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_384529) (ho_4896 BOUND_VARIABLE_384527 BOUND_VARIABLE_287591))))) (ho_4914 (ho_8752 (ho_8751 k_8750 BOUND_VARIABLE_384529) BOUND_VARIABLE_384527) BOUND_VARIABLE_287591)))))) (let ((_let_13244 (forall ((BOUND_VARIABLE_384554 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384553 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_287556 tptp.set_nat) (BOUND_VARIABLE_287557 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287557)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_5612 k_6130 BOUND_VARIABLE_384554) BOUND_VARIABLE_384553)) BOUND_VARIABLE_287556))) (ho_5218 (ho_7557 (ho_7585 (ho_7599 k_8753 BOUND_VARIABLE_384554) BOUND_VARIABLE_384553) BOUND_VARIABLE_287556) BOUND_VARIABLE_287557))))) (let ((_let_13245 (forall ((BOUND_VARIABLE_384579 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384578 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_287545 tptp.nat)) (= (ho_4925 (ho_8691 (ho_8690 k_8754 BOUND_VARIABLE_384579) BOUND_VARIABLE_384578) BOUND_VARIABLE_287545) (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_384579) (ho_5594 BOUND_VARIABLE_384578 BOUND_VARIABLE_287545))))))) (let ((_let_13246 (forall ((BOUND_VARIABLE_384594 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_287531 tptp.set_nat) (BOUND_VARIABLE_287532 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_8755 BOUND_VARIABLE_384594) BOUND_VARIABLE_287531) BOUND_VARIABLE_287532) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287532)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_384594) BOUND_VARIABLE_287531))))))) (let ((_let_13247 (forall ((BOUND_VARIABLE_384609 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384608 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_287497 tptp.set_o) (BOUND_VARIABLE_287498 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287498)) (ho_7566 (ho_7565 k_7564 (ho_6097 (ho_6096 k_6131 BOUND_VARIABLE_384609) BOUND_VARIABLE_384608)) BOUND_VARIABLE_287497))) (ho_5218 (ho_7570 (ho_8694 (ho_8693 k_8756 BOUND_VARIABLE_384609) BOUND_VARIABLE_384608) BOUND_VARIABLE_287497) BOUND_VARIABLE_287498))))) (let ((_let_13248 (forall ((BOUND_VARIABLE_384634 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384633 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_287486 Bool)) (= (ho_6094 (ho_8698 (ho_8697 k_8757 BOUND_VARIABLE_384634) BOUND_VARIABLE_384633) BOUND_VARIABLE_287486) (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_384634) (ho_6018 BOUND_VARIABLE_384633 BOUND_VARIABLE_287486))))))) (let ((_let_13249 (forall ((BOUND_VARIABLE_384649 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_287472 tptp.set_o) (BOUND_VARIABLE_287473 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_8758 BOUND_VARIABLE_384649) BOUND_VARIABLE_287472) BOUND_VARIABLE_287473) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_287473)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_384649) BOUND_VARIABLE_287472))))))) (let ((_let_13250 (forall ((BOUND_VARIABLE_384664 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384663 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_287438 tptp.set_o) (BOUND_VARIABLE_287439 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287439)) (ho_7566 (ho_7565 k_7564 (ho_6105 (ho_6104 k_6132 BOUND_VARIABLE_384664) BOUND_VARIABLE_384663)) BOUND_VARIABLE_287438))) (ho_5218 (ho_7570 (ho_8701 (ho_8700 k_8759 BOUND_VARIABLE_384664) BOUND_VARIABLE_384663) BOUND_VARIABLE_287438) BOUND_VARIABLE_287439))))) (let ((_let_13251 (forall ((BOUND_VARIABLE_384689 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384688 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_287427 Bool)) (= (ho_6094 (ho_8704 (ho_8703 k_8760 BOUND_VARIABLE_384689) BOUND_VARIABLE_384688) BOUND_VARIABLE_287427) (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_384689) (ho_6101 BOUND_VARIABLE_384688 BOUND_VARIABLE_287427))))))) (let ((_let_13252 (forall ((BOUND_VARIABLE_384702 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384701 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_287392 tptp.set_o) (BOUND_VARIABLE_287393 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287393)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_5615 k_6133 BOUND_VARIABLE_384702) BOUND_VARIABLE_384701)) BOUND_VARIABLE_287392))) (ho_5218 (ho_7570 (ho_7590 (ho_7602 k_8761 BOUND_VARIABLE_384702) BOUND_VARIABLE_384701) BOUND_VARIABLE_287392) BOUND_VARIABLE_287393))))) (let ((_let_13253 (forall ((BOUND_VARIABLE_384727 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384726 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_287381 Bool)) (= (ho_6094 (ho_8709 (ho_8708 k_8762 BOUND_VARIABLE_384727) BOUND_VARIABLE_384726) BOUND_VARIABLE_287381) (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_384727) (ho_5598 BOUND_VARIABLE_384726 BOUND_VARIABLE_287381))))))) (let ((_let_13254 (forall ((BOUND_VARIABLE_384742 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_287367 tptp.set_o) (BOUND_VARIABLE_287368 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_8763 BOUND_VARIABLE_384742) BOUND_VARIABLE_287367) BOUND_VARIABLE_287368) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287368)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_384742) BOUND_VARIABLE_287367))))))) (let ((_let_13255 (forall ((BOUND_VARIABLE_384757 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384756 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_287333 tptp.set_Product_unit) (BOUND_VARIABLE_287334 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287334)) (ho_8712 (ho_8711 k_8710 (ho_6112 (ho_6111 k_6134 BOUND_VARIABLE_384757) BOUND_VARIABLE_384756)) BOUND_VARIABLE_287333))) (ho_5218 (ho_8716 (ho_8715 (ho_8714 k_8764 BOUND_VARIABLE_384757) BOUND_VARIABLE_384756) BOUND_VARIABLE_287333) BOUND_VARIABLE_287334))))) (let ((_let_13256 (forall ((BOUND_VARIABLE_384782 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384781 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_287322 tptp.product_unit)) (= (ho_6102 (ho_8720 (ho_8719 k_8765 BOUND_VARIABLE_384782) BOUND_VARIABLE_384781) BOUND_VARIABLE_287322) (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_384782) (ho_6023 BOUND_VARIABLE_384781 BOUND_VARIABLE_287322))))))) (let ((_let_13257 (forall ((BOUND_VARIABLE_384797 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_287308 tptp.set_Product_unit) (BOUND_VARIABLE_287309 Bool)) (= (ho_5235 (ho_7501 (ho_8531 k_8766 BOUND_VARIABLE_384797) BOUND_VARIABLE_287308) BOUND_VARIABLE_287309) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_287309)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_384797) BOUND_VARIABLE_287308))))))) (let ((_let_13258 (forall ((BOUND_VARIABLE_384812 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384811 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_287274 tptp.set_Product_unit) (BOUND_VARIABLE_287275 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287275)) (ho_8712 (ho_8711 k_8710 (ho_6117 (ho_6116 k_6135 BOUND_VARIABLE_384812) BOUND_VARIABLE_384811)) BOUND_VARIABLE_287274))) (ho_5218 (ho_8716 (ho_8723 (ho_8722 k_8767 BOUND_VARIABLE_384812) BOUND_VARIABLE_384811) BOUND_VARIABLE_287274) BOUND_VARIABLE_287275))))) (let ((_let_13259 (forall ((BOUND_VARIABLE_384837 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384836 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_287263 tptp.product_unit)) (= (ho_6102 (ho_8726 (ho_8725 k_8768 BOUND_VARIABLE_384837) BOUND_VARIABLE_384836) BOUND_VARIABLE_287263) (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_384837) (ho_6114 BOUND_VARIABLE_384836 BOUND_VARIABLE_287263))))))) (let ((_let_13260 (forall ((BOUND_VARIABLE_384850 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384849 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_287228 tptp.set_Product_unit) (BOUND_VARIABLE_287229 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287229)) (ho_8712 (ho_8711 k_8710 (ho_6120 (ho_6119 k_6136 BOUND_VARIABLE_384850) BOUND_VARIABLE_384849)) BOUND_VARIABLE_287228))) (ho_5218 (ho_8716 (ho_8729 (ho_8728 k_8769 BOUND_VARIABLE_384850) BOUND_VARIABLE_384849) BOUND_VARIABLE_287228) BOUND_VARIABLE_287229))))) (let ((_let_13261 (forall ((BOUND_VARIABLE_384875 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384874 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_287217 tptp.product_unit)) (= (ho_6102 (ho_8733 (ho_8732 k_8770 BOUND_VARIABLE_384875) BOUND_VARIABLE_384874) BOUND_VARIABLE_287217) (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_384875) (ho_6113 BOUND_VARIABLE_384874 BOUND_VARIABLE_287217))))))) (let ((_let_13262 (forall ((BOUND_VARIABLE_384890 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_287203 tptp.set_Product_unit) (BOUND_VARIABLE_287204 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_8771 BOUND_VARIABLE_384890) BOUND_VARIABLE_287203) BOUND_VARIABLE_287204) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287204)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_384890) BOUND_VARIABLE_287203))))))) (let ((_let_13263 (forall ((BOUND_VARIABLE_384905 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384904 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_287169 tptp.set_int) (BOUND_VARIABLE_287170 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287170)) (ho_7580 (ho_7579 k_7578 (ho_6124 (ho_6123 k_6137 BOUND_VARIABLE_384905) BOUND_VARIABLE_384904)) BOUND_VARIABLE_287169))) (ho_5218 (ho_5229 (ho_8736 (ho_8735 k_8772 BOUND_VARIABLE_384905) BOUND_VARIABLE_384904) BOUND_VARIABLE_287169) BOUND_VARIABLE_287170))))) (let ((_let_13264 (forall ((BOUND_VARIABLE_384930 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_384929 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_287158 tptp.int)) (= (ho_4914 (ho_8741 (ho_8740 k_8773 BOUND_VARIABLE_384930) BOUND_VARIABLE_384929) BOUND_VARIABLE_287158) (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_384930) (ho_6121 BOUND_VARIABLE_384929 BOUND_VARIABLE_287158))))))) (let ((_let_13265 (forall ((BOUND_VARIABLE_384945 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_287144 tptp.set_int) (BOUND_VARIABLE_287145 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_8774 BOUND_VARIABLE_384945) BOUND_VARIABLE_287144) BOUND_VARIABLE_287145) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_287145)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_384945) BOUND_VARIABLE_287144))))))) (let ((_let_13266 (forall ((BOUND_VARIABLE_384960 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384959 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_287110 tptp.set_int) (BOUND_VARIABLE_287111 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287111)) (ho_7580 (ho_7579 k_7578 (ho_6128 (ho_6127 k_6138 BOUND_VARIABLE_384960) BOUND_VARIABLE_384959)) BOUND_VARIABLE_287110))) (ho_5218 (ho_5229 (ho_8744 (ho_8743 k_8775 BOUND_VARIABLE_384960) BOUND_VARIABLE_384959) BOUND_VARIABLE_287110) BOUND_VARIABLE_287111))))) (let ((_let_13267 (forall ((BOUND_VARIABLE_384985 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_384984 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_287099 tptp.int)) (= (ho_4914 (ho_8747 (ho_8746 k_8776 BOUND_VARIABLE_384985) BOUND_VARIABLE_384984) BOUND_VARIABLE_287099) (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_384985) (ho_6125 BOUND_VARIABLE_384984 BOUND_VARIABLE_287099))))))) (let ((_let_13268 (forall ((BOUND_VARIABLE_384998 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_384997 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_287064 tptp.set_int) (BOUND_VARIABLE_287065 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287065)) (ho_7580 (ho_7579 k_7578 (ho_5610 (ho_5609 k_6139 BOUND_VARIABLE_384998) BOUND_VARIABLE_384997)) BOUND_VARIABLE_287064))) (ho_5218 (ho_5229 (ho_7577 (ho_7596 k_8777 BOUND_VARIABLE_384998) BOUND_VARIABLE_384997) BOUND_VARIABLE_287064) BOUND_VARIABLE_287065))))) (let ((_let_13269 (forall ((BOUND_VARIABLE_385023 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_385022 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_287053 tptp.int)) (= (ho_4914 (ho_8752 (ho_8751 k_8778 BOUND_VARIABLE_385023) BOUND_VARIABLE_385022) BOUND_VARIABLE_287053) (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_385023) (ho_4896 BOUND_VARIABLE_385022 BOUND_VARIABLE_287053))))))) (let ((_let_13270 (forall ((BOUND_VARIABLE_385038 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_287039 tptp.set_int) (BOUND_VARIABLE_287040 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_8779 BOUND_VARIABLE_385038) BOUND_VARIABLE_287039) BOUND_VARIABLE_287040) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_287040)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_385038) BOUND_VARIABLE_287039))))))) (let ((_let_13271 (forall ((BOUND_VARIABLE_385052 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_287006 tptp.set_nat) (BOUND_VARIABLE_287007 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_287007)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6140 BOUND_VARIABLE_385052) BOUND_VARIABLE_287006)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_4762 (ho_7857 k_8780 BOUND_VARIABLE_385052) BOUND_VARIABLE_287006) BOUND_VARIABLE_287007))))) (let ((_let_13272 (forall ((BOUND_VARIABLE_385071 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_286972 tptp.set_nat) (BOUND_VARIABLE_286973 tptp.set_Product_unit) (BOUND_VARIABLE_286974 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_286974)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6141 BOUND_VARIABLE_385071) BOUND_VARIABLE_286972)) BOUND_VARIABLE_286973))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_8781 BOUND_VARIABLE_385071) BOUND_VARIABLE_286972) BOUND_VARIABLE_286973) BOUND_VARIABLE_286974))))) (let ((_let_13273 (forall ((BOUND_VARIABLE_385095 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_286959 tptp.set_Product_unit) (BOUND_VARIABLE_286960 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8782 BOUND_VARIABLE_385095) BOUND_VARIABLE_286959) BOUND_VARIABLE_286960) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_286960)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_385095) BOUND_VARIABLE_286959))))))) (let ((_let_13274 (forall ((BOUND_VARIABLE_385109 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_286926 tptp.set_int) (BOUND_VARIABLE_286927 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286927)) (ho_7553 (ho_7552 k_7551 (ho_6144 (ho_6143 k_6142 BOUND_VARIABLE_385109) BOUND_VARIABLE_286926)) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_5229 (ho_8784 k_8783 BOUND_VARIABLE_385109) BOUND_VARIABLE_286926) BOUND_VARIABLE_286927))))) (let ((_let_13275 (forall ((BOUND_VARIABLE_385132 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_286892 tptp.set_int) (BOUND_VARIABLE_286893 tptp.set_nat) (BOUND_VARIABLE_286894 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286894)) (ho_7553 (ho_7552 k_7551 (ho_6144 (ho_6143 k_6145 BOUND_VARIABLE_385132) BOUND_VARIABLE_286892)) BOUND_VARIABLE_286893))) (ho_5218 (ho_7557 (ho_8787 (ho_8786 k_8785 BOUND_VARIABLE_385132) BOUND_VARIABLE_286892) BOUND_VARIABLE_286893) BOUND_VARIABLE_286894))))) (let ((_let_13276 (forall ((BOUND_VARIABLE_385163 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_286879 tptp.set_nat) (BOUND_VARIABLE_286880 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_8788 BOUND_VARIABLE_385163) BOUND_VARIABLE_286879) BOUND_VARIABLE_286880) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286880)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_385163) BOUND_VARIABLE_286879))))))) (let ((_let_13277 (forall ((BOUND_VARIABLE_385177 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_286846 tptp.set_int) (BOUND_VARIABLE_286847 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286847)) (ho_7566 (ho_7565 k_7564 (ho_6148 (ho_6147 k_6146 BOUND_VARIABLE_385177) BOUND_VARIABLE_286846)) tptp.bot_bot_set_o))) (ho_5218 (ho_5229 (ho_8790 k_8789 BOUND_VARIABLE_385177) BOUND_VARIABLE_286846) BOUND_VARIABLE_286847))))) (let ((_let_13278 (forall ((BOUND_VARIABLE_385200 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_286812 tptp.set_int) (BOUND_VARIABLE_286813 tptp.set_o) (BOUND_VARIABLE_286814 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286814)) (ho_7566 (ho_7565 k_7564 (ho_6148 (ho_6147 k_6149 BOUND_VARIABLE_385200) BOUND_VARIABLE_286812)) BOUND_VARIABLE_286813))) (ho_5218 (ho_7570 (ho_8793 (ho_8792 k_8791 BOUND_VARIABLE_385200) BOUND_VARIABLE_286812) BOUND_VARIABLE_286813) BOUND_VARIABLE_286814))))) (let ((_let_13279 (forall ((BOUND_VARIABLE_385231 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_286799 tptp.set_o) (BOUND_VARIABLE_286800 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_8794 BOUND_VARIABLE_385231) BOUND_VARIABLE_286799) BOUND_VARIABLE_286800) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286800)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_385231) BOUND_VARIABLE_286799))))))) (let ((_let_13280 (forall ((BOUND_VARIABLE_385245 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_286766 tptp.set_int) (BOUND_VARIABLE_286767 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286767)) (ho_8712 (ho_8711 k_8710 (ho_6152 (ho_6151 k_6150 BOUND_VARIABLE_385245) BOUND_VARIABLE_286766)) tptp.bot_bo3957492148770167129t_unit))) (ho_5218 (ho_5229 (ho_8796 k_8795 BOUND_VARIABLE_385245) BOUND_VARIABLE_286766) BOUND_VARIABLE_286767))))) (let ((_let_13281 (forall ((BOUND_VARIABLE_385268 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_286732 tptp.set_int) (BOUND_VARIABLE_286733 tptp.set_Product_unit) (BOUND_VARIABLE_286734 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286734)) (ho_8712 (ho_8711 k_8710 (ho_6152 (ho_6151 k_6153 BOUND_VARIABLE_385268) BOUND_VARIABLE_286732)) BOUND_VARIABLE_286733))) (ho_5218 (ho_8716 (ho_8799 (ho_8798 k_8797 BOUND_VARIABLE_385268) BOUND_VARIABLE_286732) BOUND_VARIABLE_286733) BOUND_VARIABLE_286734))))) (let ((_let_13282 (forall ((BOUND_VARIABLE_385299 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_286719 tptp.set_Product_unit) (BOUND_VARIABLE_286720 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_8800 BOUND_VARIABLE_385299) BOUND_VARIABLE_286719) BOUND_VARIABLE_286720) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286720)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_385299) BOUND_VARIABLE_286719))))))) (let ((_let_13283 (forall ((BOUND_VARIABLE_385316 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_286709 tptp.set_rat) (BOUND_VARIABLE_286710 tptp.nat)) (= (ho_7561 (ho_8803 (ho_8802 k_8801 BOUND_VARIABLE_385316) BOUND_VARIABLE_286709) BOUND_VARIABLE_286710) (ho_7421 (ho_8805 k_8804 (ho_7561 BOUND_VARIABLE_385316 BOUND_VARIABLE_286710)) BOUND_VARIABLE_286709))))) (let ((_let_13284 (forall ((BOUND_VARIABLE_385341 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_286699 tptp.set_rat) (BOUND_VARIABLE_286700 tptp.nat)) (= (ho_7561 (ho_8803 (ho_8802 k_8806 BOUND_VARIABLE_385341) BOUND_VARIABLE_286699) BOUND_VARIABLE_286700) (ho_7421 (ho_8805 k_8804 (ho_7561 BOUND_VARIABLE_385341 BOUND_VARIABLE_286700)) BOUND_VARIABLE_286699))))) (let ((_let_13285 (forall ((BOUND_VARIABLE_385355 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_286689 tptp.set_rat) (BOUND_VARIABLE_286690 Bool)) (= (ho_7574 (ho_8809 (ho_8808 k_8807 BOUND_VARIABLE_385355) BOUND_VARIABLE_286689) BOUND_VARIABLE_286690) (ho_7421 (ho_8805 k_8804 (ho_7574 BOUND_VARIABLE_385355 BOUND_VARIABLE_286690)) BOUND_VARIABLE_286689))))) (let ((_let_13286 (forall ((BOUND_VARIABLE_385376 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_286679 tptp.set_rat) (BOUND_VARIABLE_286680 Bool)) (= (ho_7574 (ho_8809 (ho_8808 k_8810 BOUND_VARIABLE_385376) BOUND_VARIABLE_286679) BOUND_VARIABLE_286680) (ho_7421 (ho_8805 k_8804 (ho_7574 BOUND_VARIABLE_385376 BOUND_VARIABLE_286680)) BOUND_VARIABLE_286679))))) (let ((_let_13287 (forall ((BOUND_VARIABLE_385390 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_286669 tptp.set_rat) (BOUND_VARIABLE_286670 tptp.product_unit)) (= (ho_7364 (ho_8813 (ho_8812 k_8811 BOUND_VARIABLE_385390) BOUND_VARIABLE_286669) BOUND_VARIABLE_286670) (ho_7421 (ho_8805 k_8804 (ho_7364 BOUND_VARIABLE_385390 BOUND_VARIABLE_286670)) BOUND_VARIABLE_286669))))) (let ((_let_13288 (forall ((BOUND_VARIABLE_385411 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_286659 tptp.set_rat) (BOUND_VARIABLE_286660 tptp.product_unit)) (= (ho_7364 (ho_8813 (ho_8812 k_8814 BOUND_VARIABLE_385411) BOUND_VARIABLE_286659) BOUND_VARIABLE_286660) (ho_7421 (ho_8805 k_8804 (ho_7364 BOUND_VARIABLE_385411 BOUND_VARIABLE_286660)) BOUND_VARIABLE_286659))))) (let ((_let_13289 (forall ((BOUND_VARIABLE_385426 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_286649 tptp.set_char) (BOUND_VARIABLE_286650 tptp.nat)) (= (ho_8815 (ho_8818 (ho_8817 k_8816 BOUND_VARIABLE_385426) BOUND_VARIABLE_286649) BOUND_VARIABLE_286650) (ho_8821 (ho_8820 k_8819 (ho_8815 BOUND_VARIABLE_385426 BOUND_VARIABLE_286650)) BOUND_VARIABLE_286649))))) (let ((_let_13290 (forall ((BOUND_VARIABLE_385456 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_286639 tptp.set_char) (BOUND_VARIABLE_286640 tptp.nat)) (= (ho_8815 (ho_8818 (ho_8817 k_8822 BOUND_VARIABLE_385456) BOUND_VARIABLE_286639) BOUND_VARIABLE_286640) (ho_8821 (ho_8820 k_8819 (ho_8815 BOUND_VARIABLE_385456 BOUND_VARIABLE_286640)) BOUND_VARIABLE_286639))))) (let ((_let_13291 (forall ((BOUND_VARIABLE_385471 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_286629 tptp.set_char) (BOUND_VARIABLE_286630 Bool)) (= (ho_8823 (ho_8826 (ho_8825 k_8824 BOUND_VARIABLE_385471) BOUND_VARIABLE_286629) BOUND_VARIABLE_286630) (ho_8821 (ho_8820 k_8819 (ho_8823 BOUND_VARIABLE_385471 BOUND_VARIABLE_286630)) BOUND_VARIABLE_286629))))) (let ((_let_13292 (forall ((BOUND_VARIABLE_385494 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_286619 tptp.set_char) (BOUND_VARIABLE_286620 Bool)) (= (ho_8823 (ho_8826 (ho_8825 k_8827 BOUND_VARIABLE_385494) BOUND_VARIABLE_286619) BOUND_VARIABLE_286620) (ho_8821 (ho_8820 k_8819 (ho_8823 BOUND_VARIABLE_385494 BOUND_VARIABLE_286620)) BOUND_VARIABLE_286619))))) (let ((_let_13293 (forall ((BOUND_VARIABLE_385509 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_286609 tptp.set_char) (BOUND_VARIABLE_286610 tptp.product_unit)) (= (ho_8828 (ho_8831 (ho_8830 k_8829 BOUND_VARIABLE_385509) BOUND_VARIABLE_286609) BOUND_VARIABLE_286610) (ho_8821 (ho_8820 k_8819 (ho_8828 BOUND_VARIABLE_385509 BOUND_VARIABLE_286610)) BOUND_VARIABLE_286609))))) (let ((_let_13294 (forall ((BOUND_VARIABLE_385532 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_286599 tptp.set_char) (BOUND_VARIABLE_286600 tptp.product_unit)) (= (ho_8828 (ho_8831 (ho_8830 k_8832 BOUND_VARIABLE_385532) BOUND_VARIABLE_286599) BOUND_VARIABLE_286600) (ho_8821 (ho_8820 k_8819 (ho_8828 BOUND_VARIABLE_385532 BOUND_VARIABLE_286600)) BOUND_VARIABLE_286599))))) (let ((_let_13295 (forall ((BOUND_VARIABLE_286565 tptp.set_nat) (BOUND_VARIABLE_385543 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_286567 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_286567)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6154 BOUND_VARIABLE_286565) BOUND_VARIABLE_385543)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_5006 (ho_7792 k_8833 BOUND_VARIABLE_286565) BOUND_VARIABLE_385543) BOUND_VARIABLE_286567))))) (let ((_let_13296 (forall ((BOUND_VARIABLE_286531 tptp.set_nat) (BOUND_VARIABLE_385562 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_286533 tptp.set_Product_unit) (BOUND_VARIABLE_286534 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_286534)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6155 BOUND_VARIABLE_286531) BOUND_VARIABLE_385562)) BOUND_VARIABLE_286533))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_8834 BOUND_VARIABLE_286531) BOUND_VARIABLE_385562) BOUND_VARIABLE_286533) BOUND_VARIABLE_286534))))) (let ((_let_13297 (forall ((BOUND_VARIABLE_385586 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_286519 tptp.set_Product_unit) (BOUND_VARIABLE_286520 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8835 BOUND_VARIABLE_385586) BOUND_VARIABLE_286519) BOUND_VARIABLE_286520) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_286520)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_385586) BOUND_VARIABLE_286519))))))) (let ((_let_13298 (forall ((BOUND_VARIABLE_286485 tptp.set_int) (BOUND_VARIABLE_385600 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_286487 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286487)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_6157 k_6156 BOUND_VARIABLE_286485) BOUND_VARIABLE_385600)) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_8838 (ho_8837 k_8836 BOUND_VARIABLE_286485) BOUND_VARIABLE_385600) BOUND_VARIABLE_286487))))) (let ((_let_13299 (forall ((BOUND_VARIABLE_286451 tptp.set_int) (BOUND_VARIABLE_385627 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_286453 tptp.set_nat) (BOUND_VARIABLE_286454 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286454)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_6157 k_6158 BOUND_VARIABLE_286451) BOUND_VARIABLE_385627)) BOUND_VARIABLE_286453))) (ho_5218 (ho_7557 (ho_7585 (ho_8840 k_8839 BOUND_VARIABLE_286451) BOUND_VARIABLE_385627) BOUND_VARIABLE_286453) BOUND_VARIABLE_286454))))) (let ((_let_13300 (forall ((BOUND_VARIABLE_385655 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_286439 tptp.set_nat) (BOUND_VARIABLE_286440 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_8841 BOUND_VARIABLE_385655) BOUND_VARIABLE_286439) BOUND_VARIABLE_286440) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286440)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_385655) BOUND_VARIABLE_286439))))))) (let ((_let_13301 (forall ((BOUND_VARIABLE_286405 tptp.set_int) (BOUND_VARIABLE_385669 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_286407 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286407)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_6160 k_6159 BOUND_VARIABLE_286405) BOUND_VARIABLE_385669)) tptp.bot_bot_set_o))) (ho_5218 (ho_8844 (ho_8843 k_8842 BOUND_VARIABLE_286405) BOUND_VARIABLE_385669) BOUND_VARIABLE_286407))))) (let ((_let_13302 (forall ((BOUND_VARIABLE_286371 tptp.set_int) (BOUND_VARIABLE_385696 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_286373 tptp.set_o) (BOUND_VARIABLE_286374 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286374)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_6160 k_6161 BOUND_VARIABLE_286371) BOUND_VARIABLE_385696)) BOUND_VARIABLE_286373))) (ho_5218 (ho_7570 (ho_7590 (ho_8846 k_8845 BOUND_VARIABLE_286371) BOUND_VARIABLE_385696) BOUND_VARIABLE_286373) BOUND_VARIABLE_286374))))) (let ((_let_13303 (forall ((BOUND_VARIABLE_385724 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_286359 tptp.set_o) (BOUND_VARIABLE_286360 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_8847 BOUND_VARIABLE_385724) BOUND_VARIABLE_286359) BOUND_VARIABLE_286360) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286360)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_385724) BOUND_VARIABLE_286359))))))) (let ((_let_13304 (forall ((BOUND_VARIABLE_286325 tptp.set_int) (BOUND_VARIABLE_385738 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_286327 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286327)) (ho_8712 (ho_8711 k_8710 (ho_6120 (ho_6163 k_6162 BOUND_VARIABLE_286325) BOUND_VARIABLE_385738)) tptp.bot_bo3957492148770167129t_unit))) (ho_5218 (ho_8850 (ho_8849 k_8848 BOUND_VARIABLE_286325) BOUND_VARIABLE_385738) BOUND_VARIABLE_286327))))) (let ((_let_13305 (forall ((BOUND_VARIABLE_286291 tptp.set_int) (BOUND_VARIABLE_385765 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_286293 tptp.set_Product_unit) (BOUND_VARIABLE_286294 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286294)) (ho_8712 (ho_8711 k_8710 (ho_6120 (ho_6163 k_6164 BOUND_VARIABLE_286291) BOUND_VARIABLE_385765)) BOUND_VARIABLE_286293))) (ho_5218 (ho_8716 (ho_8729 (ho_8852 k_8851 BOUND_VARIABLE_286291) BOUND_VARIABLE_385765) BOUND_VARIABLE_286293) BOUND_VARIABLE_286294))))) (let ((_let_13306 (forall ((BOUND_VARIABLE_385793 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_286279 tptp.set_Product_unit) (BOUND_VARIABLE_286280 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_8853 BOUND_VARIABLE_385793) BOUND_VARIABLE_286279) BOUND_VARIABLE_286280) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_286280)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_385793) BOUND_VARIABLE_286279))))))) (let ((_let_13307 (forall ((BOUND_VARIABLE_286268 tptp.set_rat) (BOUND_VARIABLE_385810 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_286270 tptp.nat)) (= (ho_7561 (ho_8856 (ho_8855 k_8854 BOUND_VARIABLE_286268) BOUND_VARIABLE_385810) BOUND_VARIABLE_286270) (ho_7421 (ho_8805 k_8804 BOUND_VARIABLE_286268) (ho_7561 BOUND_VARIABLE_385810 BOUND_VARIABLE_286270)))))) (let ((_let_13308 (forall ((BOUND_VARIABLE_286258 tptp.set_rat) (BOUND_VARIABLE_385831 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_286260 tptp.nat)) (= (ho_7561 (ho_8856 (ho_8855 k_8857 BOUND_VARIABLE_286258) BOUND_VARIABLE_385831) BOUND_VARIABLE_286260) (ho_7421 (ho_8805 k_8804 BOUND_VARIABLE_286258) (ho_7561 BOUND_VARIABLE_385831 BOUND_VARIABLE_286260)))))) (let ((_let_13309 (forall ((BOUND_VARIABLE_286248 tptp.set_rat) (BOUND_VARIABLE_385845 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_286250 Bool)) (= (ho_7574 (ho_8860 (ho_8859 k_8858 BOUND_VARIABLE_286248) BOUND_VARIABLE_385845) BOUND_VARIABLE_286250) (ho_7421 (ho_8805 k_8804 BOUND_VARIABLE_286248) (ho_7574 BOUND_VARIABLE_385845 BOUND_VARIABLE_286250)))))) (let ((_let_13310 (forall ((BOUND_VARIABLE_286238 tptp.set_rat) (BOUND_VARIABLE_385866 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_286240 Bool)) (= (ho_7574 (ho_8860 (ho_8859 k_8861 BOUND_VARIABLE_286238) BOUND_VARIABLE_385866) BOUND_VARIABLE_286240) (ho_7421 (ho_8805 k_8804 BOUND_VARIABLE_286238) (ho_7574 BOUND_VARIABLE_385866 BOUND_VARIABLE_286240)))))) (let ((_let_13311 (forall ((BOUND_VARIABLE_286228 tptp.set_rat) (BOUND_VARIABLE_385880 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_286230 tptp.product_unit)) (= (ho_7364 (ho_8864 (ho_8863 k_8862 BOUND_VARIABLE_286228) BOUND_VARIABLE_385880) BOUND_VARIABLE_286230) (ho_7421 (ho_8805 k_8804 BOUND_VARIABLE_286228) (ho_7364 BOUND_VARIABLE_385880 BOUND_VARIABLE_286230)))))) (let ((_let_13312 (forall ((BOUND_VARIABLE_286218 tptp.set_rat) (BOUND_VARIABLE_385901 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_286220 tptp.product_unit)) (= (ho_7364 (ho_8864 (ho_8863 k_8865 BOUND_VARIABLE_286218) BOUND_VARIABLE_385901) BOUND_VARIABLE_286220) (ho_7421 (ho_8805 k_8804 BOUND_VARIABLE_286218) (ho_7364 BOUND_VARIABLE_385901 BOUND_VARIABLE_286220)))))) (let ((_let_13313 (forall ((BOUND_VARIABLE_286208 tptp.set_char) (BOUND_VARIABLE_385915 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_286210 tptp.nat)) (= (ho_8815 (ho_8868 (ho_8867 k_8866 BOUND_VARIABLE_286208) BOUND_VARIABLE_385915) BOUND_VARIABLE_286210) (ho_8821 (ho_8820 k_8819 BOUND_VARIABLE_286208) (ho_8815 BOUND_VARIABLE_385915 BOUND_VARIABLE_286210)))))) (let ((_let_13314 (forall ((BOUND_VARIABLE_286198 tptp.set_char) (BOUND_VARIABLE_385936 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_286200 tptp.nat)) (= (ho_8815 (ho_8868 (ho_8867 k_8869 BOUND_VARIABLE_286198) BOUND_VARIABLE_385936) BOUND_VARIABLE_286200) (ho_8821 (ho_8820 k_8819 BOUND_VARIABLE_286198) (ho_8815 BOUND_VARIABLE_385936 BOUND_VARIABLE_286200)))))) (let ((_let_13315 (forall ((BOUND_VARIABLE_286188 tptp.set_char) (BOUND_VARIABLE_385950 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_286190 Bool)) (= (ho_8823 (ho_8872 (ho_8871 k_8870 BOUND_VARIABLE_286188) BOUND_VARIABLE_385950) BOUND_VARIABLE_286190) (ho_8821 (ho_8820 k_8819 BOUND_VARIABLE_286188) (ho_8823 BOUND_VARIABLE_385950 BOUND_VARIABLE_286190)))))) (let ((_let_13316 (forall ((BOUND_VARIABLE_286178 tptp.set_char) (BOUND_VARIABLE_385971 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_286180 Bool)) (= (ho_8823 (ho_8872 (ho_8871 k_8873 BOUND_VARIABLE_286178) BOUND_VARIABLE_385971) BOUND_VARIABLE_286180) (ho_8821 (ho_8820 k_8819 BOUND_VARIABLE_286178) (ho_8823 BOUND_VARIABLE_385971 BOUND_VARIABLE_286180)))))) (let ((_let_13317 (forall ((BOUND_VARIABLE_286168 tptp.set_char) (BOUND_VARIABLE_385985 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_286170 tptp.product_unit)) (= (ho_8828 (ho_8876 (ho_8875 k_8874 BOUND_VARIABLE_286168) BOUND_VARIABLE_385985) BOUND_VARIABLE_286170) (ho_8821 (ho_8820 k_8819 BOUND_VARIABLE_286168) (ho_8828 BOUND_VARIABLE_385985 BOUND_VARIABLE_286170)))))) (let ((_let_13318 (forall ((BOUND_VARIABLE_286158 tptp.set_char) (BOUND_VARIABLE_386006 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_286160 tptp.product_unit)) (= (ho_8828 (ho_8876 (ho_8875 k_8877 BOUND_VARIABLE_286158) BOUND_VARIABLE_386006) BOUND_VARIABLE_286160) (ho_8821 (ho_8820 k_8819 BOUND_VARIABLE_286158) (ho_8828 BOUND_VARIABLE_386006 BOUND_VARIABLE_286160)))))) (let ((_let_13319 (forall ((BOUND_VARIABLE_286113 tptp.int) (BOUND_VARIABLE_286114 tptp.set_int) (BOUND_VARIABLE_286115 tptp.int) (BOUND_VARIABLE_286116 tptp.set_int) (BOUND_VARIABLE_286117 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_286117)) (ho_4899 (ho_4898 k_4897 (ho_5575 (ho_6166 k_6165 BOUND_VARIABLE_286113) BOUND_VARIABLE_286114)) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_286115) BOUND_VARIABLE_286116)))) (ho_4599 (ho_4924 (ho_4923 (ho_8880 (ho_8879 k_8878 BOUND_VARIABLE_286113) BOUND_VARIABLE_286114) BOUND_VARIABLE_286115) BOUND_VARIABLE_286116) BOUND_VARIABLE_286117))))) (let ((_let_13320 (forall ((BOUND_VARIABLE_286070 tptp.int) (BOUND_VARIABLE_286071 tptp.set_int) (BOUND_VARIABLE_286072 tptp.set_int) (BOUND_VARIABLE_286073 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_286073)) (ho_4899 (ho_4898 k_4897 (ho_5575 (ho_6166 k_6167 BOUND_VARIABLE_286070) BOUND_VARIABLE_286071)) BOUND_VARIABLE_286072))) (ho_4599 (ho_4924 (ho_8883 (ho_8882 k_8881 BOUND_VARIABLE_286070) BOUND_VARIABLE_286071) BOUND_VARIABLE_286072) BOUND_VARIABLE_286073))))) (let ((_let_13321 (forall ((BOUND_VARIABLE_286032 tptp.set_int) (BOUND_VARIABLE_286033 tptp.int) (BOUND_VARIABLE_286034 tptp.set_int) (BOUND_VARIABLE_286035 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_286035)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6168 BOUND_VARIABLE_286032)) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_286033) BOUND_VARIABLE_286034)))) (ho_4599 (ho_4924 (ho_4923 (ho_8880 k_8884 BOUND_VARIABLE_286032) BOUND_VARIABLE_286033) BOUND_VARIABLE_286034) BOUND_VARIABLE_286035))))) (let ((_let_13322 (forall ((BOUND_VARIABLE_286001 tptp.num) (BOUND_VARIABLE_286002 tptp.set_num) (BOUND_VARIABLE_286003 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6169 BOUND_VARIABLE_286003)) (ho_8887 (ho_8886 k_8885 BOUND_VARIABLE_286001) BOUND_VARIABLE_286002))) (ho_6985 (ho_8890 (ho_8889 k_8888 BOUND_VARIABLE_286001) BOUND_VARIABLE_286002) BOUND_VARIABLE_286003))))) (let ((_let_13323 (forall ((BOUND_VARIABLE_285973 tptp.set_num) (BOUND_VARIABLE_285974 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6170 BOUND_VARIABLE_285974)) BOUND_VARIABLE_285973)) (ho_6985 (ho_8890 k_8891 BOUND_VARIABLE_285973) BOUND_VARIABLE_285974))))) (let ((_let_13324 (forall ((BOUND_VARIABLE_285964 Bool) (BOUND_VARIABLE_285965 tptp.set_o) (BOUND_VARIABLE_285966 Bool)) (= (ho_6018 (ho_6021 (ho_7490 k_8892 BOUND_VARIABLE_285964) BOUND_VARIABLE_285965) BOUND_VARIABLE_285966) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_285964) BOUND_VARIABLE_285965))))) (let ((_let_13325 (forall ((BOUND_VARIABLE_285955 Bool) (BOUND_VARIABLE_285956 tptp.set_o) (BOUND_VARIABLE_285957 Bool)) (= (ho_6018 (ho_6021 (ho_7490 k_8893 BOUND_VARIABLE_285955) BOUND_VARIABLE_285956) BOUND_VARIABLE_285957) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_285955) BOUND_VARIABLE_285956))))) (let ((_let_13326 (forall ((BOUND_VARIABLE_285949 tptp.set_o) (BOUND_VARIABLE_285950 Bool)) (= BOUND_VARIABLE_285949 (ho_6018 (ho_6021 k_8894 BOUND_VARIABLE_285949) BOUND_VARIABLE_285950))))) (let ((_let_13327 (forall ((BOUND_VARIABLE_285940 tptp.product_unit) (BOUND_VARIABLE_285941 tptp.set_Product_unit) (BOUND_VARIABLE_285942 Bool)) (= (ho_6101 (ho_8524 (ho_8896 k_8895 BOUND_VARIABLE_285940) BOUND_VARIABLE_285941) BOUND_VARIABLE_285942) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_285940) BOUND_VARIABLE_285941))))) (let ((_let_13328 (forall ((BOUND_VARIABLE_285931 tptp.product_unit) (BOUND_VARIABLE_285932 tptp.set_Product_unit) (BOUND_VARIABLE_285933 Bool)) (= (ho_6101 (ho_8524 (ho_8896 k_8897 BOUND_VARIABLE_285931) BOUND_VARIABLE_285932) BOUND_VARIABLE_285933) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_285931) BOUND_VARIABLE_285932))))) (let ((_let_13329 (forall ((BOUND_VARIABLE_285925 tptp.set_Product_unit) (BOUND_VARIABLE_285926 Bool)) (= BOUND_VARIABLE_285925 (ho_6101 (ho_8524 k_8898 BOUND_VARIABLE_285925) BOUND_VARIABLE_285926))))) (let ((_let_13330 (forall ((BOUND_VARIABLE_285916 tptp.nat) (BOUND_VARIABLE_285917 tptp.set_nat) (BOUND_VARIABLE_285918 Bool)) (= (ho_4556 (ho_4654 (ho_4657 k_8899 BOUND_VARIABLE_285916) BOUND_VARIABLE_285917) BOUND_VARIABLE_285918) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_285916) BOUND_VARIABLE_285917))))) (let ((_let_13331 (forall ((BOUND_VARIABLE_285907 tptp.nat) (BOUND_VARIABLE_285908 tptp.set_nat) (BOUND_VARIABLE_285909 Bool)) (= (ho_4556 (ho_4654 (ho_4657 k_8900 BOUND_VARIABLE_285907) BOUND_VARIABLE_285908) BOUND_VARIABLE_285909) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_285907) BOUND_VARIABLE_285908))))) (let ((_let_13332 (forall ((BOUND_VARIABLE_285901 tptp.set_nat) (BOUND_VARIABLE_285902 Bool)) (= BOUND_VARIABLE_285901 (ho_4556 (ho_4654 k_8901 BOUND_VARIABLE_285901) BOUND_VARIABLE_285902))))) (let ((_let_13333 (forall ((BOUND_VARIABLE_285892 Bool) (BOUND_VARIABLE_285893 tptp.set_o) (BOUND_VARIABLE_285894 tptp.product_unit)) (= (ho_6023 (ho_6026 (ho_8903 k_8902 BOUND_VARIABLE_285892) BOUND_VARIABLE_285893) BOUND_VARIABLE_285894) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_285892) BOUND_VARIABLE_285893))))) (let ((_let_13334 (forall ((BOUND_VARIABLE_285883 Bool) (BOUND_VARIABLE_285884 tptp.set_o) (BOUND_VARIABLE_285885 tptp.product_unit)) (= (ho_6023 (ho_6026 (ho_8903 k_8904 BOUND_VARIABLE_285883) BOUND_VARIABLE_285884) BOUND_VARIABLE_285885) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_285883) BOUND_VARIABLE_285884))))) (let ((_let_13335 (forall ((BOUND_VARIABLE_285877 tptp.set_o) (BOUND_VARIABLE_285878 tptp.product_unit)) (= BOUND_VARIABLE_285877 (ho_6023 (ho_6026 k_8905 BOUND_VARIABLE_285877) BOUND_VARIABLE_285878))))) (let ((_let_13336 (forall ((BOUND_VARIABLE_285868 tptp.product_unit) (BOUND_VARIABLE_285869 tptp.set_Product_unit) (BOUND_VARIABLE_285870 tptp.product_unit)) (= (ho_6114 (ho_8534 (ho_8907 k_8906 BOUND_VARIABLE_285868) BOUND_VARIABLE_285869) BOUND_VARIABLE_285870) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_285868) BOUND_VARIABLE_285869))))) (let ((_let_13337 (forall ((BOUND_VARIABLE_285859 tptp.product_unit) (BOUND_VARIABLE_285860 tptp.set_Product_unit) (BOUND_VARIABLE_285861 tptp.product_unit)) (= (ho_6114 (ho_8534 (ho_8907 k_8908 BOUND_VARIABLE_285859) BOUND_VARIABLE_285860) BOUND_VARIABLE_285861) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_285859) BOUND_VARIABLE_285860))))) (let ((_let_13338 (forall ((BOUND_VARIABLE_285853 tptp.set_Product_unit) (BOUND_VARIABLE_285854 tptp.product_unit)) (= BOUND_VARIABLE_285853 (ho_6114 (ho_8534 k_8909 BOUND_VARIABLE_285853) BOUND_VARIABLE_285854))))) (let ((_let_13339 (forall ((BOUND_VARIABLE_285844 tptp.nat) (BOUND_VARIABLE_285845 tptp.set_nat) (BOUND_VARIABLE_285846 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_8911 k_8910 BOUND_VARIABLE_285844) BOUND_VARIABLE_285845) BOUND_VARIABLE_285846) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_285844) BOUND_VARIABLE_285845))))) (let ((_let_13340 (forall ((BOUND_VARIABLE_285835 tptp.nat) (BOUND_VARIABLE_285836 tptp.set_nat) (BOUND_VARIABLE_285837 tptp.product_unit)) (= (ho_4639 (ho_5669 (ho_8911 k_8912 BOUND_VARIABLE_285835) BOUND_VARIABLE_285836) BOUND_VARIABLE_285837) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_285835) BOUND_VARIABLE_285836))))) (let ((_let_13341 (forall ((BOUND_VARIABLE_285829 tptp.set_nat) (BOUND_VARIABLE_285830 tptp.product_unit)) (= BOUND_VARIABLE_285829 (ho_4639 (ho_5669 k_8913 BOUND_VARIABLE_285829) BOUND_VARIABLE_285830))))) (let ((_let_13342 (forall ((BOUND_VARIABLE_285820 Bool) (BOUND_VARIABLE_285821 tptp.set_o) (BOUND_VARIABLE_285822 tptp.nat)) (= (ho_6011 (ho_6014 (ho_8915 k_8914 BOUND_VARIABLE_285820) BOUND_VARIABLE_285821) BOUND_VARIABLE_285822) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_285820) BOUND_VARIABLE_285821))))) (let ((_let_13343 (forall ((BOUND_VARIABLE_285811 Bool) (BOUND_VARIABLE_285812 tptp.set_o) (BOUND_VARIABLE_285813 tptp.nat)) (= (ho_6011 (ho_6014 (ho_8915 k_8916 BOUND_VARIABLE_285811) BOUND_VARIABLE_285812) BOUND_VARIABLE_285813) (ho_4864 (ho_4863 k_4862 BOUND_VARIABLE_285811) BOUND_VARIABLE_285812))))) (let ((_let_13344 (forall ((BOUND_VARIABLE_285805 tptp.set_o) (BOUND_VARIABLE_285806 tptp.nat)) (= BOUND_VARIABLE_285805 (ho_6011 (ho_6014 k_8917 BOUND_VARIABLE_285805) BOUND_VARIABLE_285806))))) (let ((_let_13345 (forall ((BOUND_VARIABLE_285796 tptp.product_unit) (BOUND_VARIABLE_285797 tptp.set_Product_unit) (BOUND_VARIABLE_285798 tptp.nat)) (= (ho_8512 (ho_8515 (ho_8919 k_8918 BOUND_VARIABLE_285796) BOUND_VARIABLE_285797) BOUND_VARIABLE_285798) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_285796) BOUND_VARIABLE_285797))))) (let ((_let_13346 (forall ((BOUND_VARIABLE_285787 tptp.product_unit) (BOUND_VARIABLE_285788 tptp.set_Product_unit) (BOUND_VARIABLE_285789 tptp.nat)) (= (ho_8512 (ho_8515 (ho_8919 k_8920 BOUND_VARIABLE_285787) BOUND_VARIABLE_285788) BOUND_VARIABLE_285789) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_285787) BOUND_VARIABLE_285788))))) (let ((_let_13347 (forall ((BOUND_VARIABLE_285781 tptp.set_Product_unit) (BOUND_VARIABLE_285782 tptp.nat)) (= BOUND_VARIABLE_285781 (ho_8512 (ho_8515 k_8921 BOUND_VARIABLE_285781) BOUND_VARIABLE_285782))))) (let ((_let_13348 (forall ((BOUND_VARIABLE_386380 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_285765 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285765)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_386380) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 k_8922 BOUND_VARIABLE_386380) BOUND_VARIABLE_285765))))) (let ((_let_13349 (forall ((BOUND_VARIABLE_386398 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_285752 tptp.set_nat) (BOUND_VARIABLE_285753 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_8923 BOUND_VARIABLE_386398) BOUND_VARIABLE_285752) BOUND_VARIABLE_285753) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285753)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_386398) BOUND_VARIABLE_285752))))))) (let ((_let_13350 (forall ((BOUND_VARIABLE_285716 tptp.set_nat) (BOUND_VARIABLE_386412 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_285718 tptp.set_nat) (BOUND_VARIABLE_285719 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285719)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_5620 k_6171 BOUND_VARIABLE_285716) BOUND_VARIABLE_386412)) BOUND_VARIABLE_285718))) (ho_4593 (ho_4762 (ho_4761 (ho_7626 k_8924 BOUND_VARIABLE_285716) BOUND_VARIABLE_386412) BOUND_VARIABLE_285718) BOUND_VARIABLE_285719))))) (let ((_let_13351 (forall ((BOUND_VARIABLE_386435 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_285705 tptp.nat)) (= (ho_4593 (ho_4997 k_8925 BOUND_VARIABLE_386435) BOUND_VARIABLE_285705) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285705)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_386435) tptp.bot_bot_set_o))))))) (let ((_let_13352 (forall ((BOUND_VARIABLE_386451 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_285692 tptp.set_o) (BOUND_VARIABLE_285693 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_8926 BOUND_VARIABLE_386451) BOUND_VARIABLE_285692) BOUND_VARIABLE_285693) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285693)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_386451) BOUND_VARIABLE_285692))))))) (let ((_let_13353 (forall ((BOUND_VARIABLE_285656 tptp.set_nat) (BOUND_VARIABLE_386465 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_285658 tptp.set_o) (BOUND_VARIABLE_285659 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285659)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_5623 k_6172 BOUND_VARIABLE_285656) BOUND_VARIABLE_386465)) BOUND_VARIABLE_285658))) (ho_4593 (ho_5000 (ho_4999 (ho_7630 k_8927 BOUND_VARIABLE_285656) BOUND_VARIABLE_386465) BOUND_VARIABLE_285658) BOUND_VARIABLE_285659))))) (let ((_let_13354 (forall ((BOUND_VARIABLE_386486 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_285640 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285640)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_386486) (ho_4515 k_4514 (ho_4513 k_4512 k_4510))))) (ho_4593 (ho_4983 k_8928 BOUND_VARIABLE_386486) BOUND_VARIABLE_285640))))) (let ((_let_13355 (forall ((BOUND_VARIABLE_386504 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_285627 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_285628 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_8929 BOUND_VARIABLE_386504) BOUND_VARIABLE_285627) BOUND_VARIABLE_285628) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285628)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_386504) BOUND_VARIABLE_285627))))))) (let ((_let_13356 (forall ((BOUND_VARIABLE_285591 tptp.set_nat) (BOUND_VARIABLE_386518 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_285593 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_285594 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285594)) (ho_4981 (ho_4980 k_4979 (ho_5627 (ho_5626 k_6173 BOUND_VARIABLE_285591) BOUND_VARIABLE_386518)) BOUND_VARIABLE_285593))) (ho_4593 (ho_4986 (ho_4985 (ho_7634 k_8930 BOUND_VARIABLE_285591) BOUND_VARIABLE_386518) BOUND_VARIABLE_285593) BOUND_VARIABLE_285594))))) (let ((_let_13357 (forall ((BOUND_VARIABLE_386539 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_285575 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285575)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_386539) (ho_4495 k_4494 (ho_4493 k_4492 k_4490))))) (ho_4593 (ho_7636 k_8931 BOUND_VARIABLE_386539) BOUND_VARIABLE_285575))))) (let ((_let_13358 (forall ((BOUND_VARIABLE_386557 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_285562 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_285563 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_8932 BOUND_VARIABLE_386557) BOUND_VARIABLE_285562) BOUND_VARIABLE_285563) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285563)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_386557) BOUND_VARIABLE_285562))))))) (let ((_let_13359 (forall ((BOUND_VARIABLE_285526 tptp.set_nat) (BOUND_VARIABLE_386571 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_285528 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_285529 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285529)) (ho_5110 (ho_5109 k_5108 (ho_5630 (ho_5629 k_6174 BOUND_VARIABLE_285526) BOUND_VARIABLE_386571)) BOUND_VARIABLE_285528))) (ho_4593 (ho_5107 (ho_5106 (ho_7639 k_8933 BOUND_VARIABLE_285526) BOUND_VARIABLE_386571) BOUND_VARIABLE_285528) BOUND_VARIABLE_285529))))) (let ((_let_13360 (forall ((BOUND_VARIABLE_386594 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_285515 tptp.nat)) (= (ho_4593 (ho_5006 k_8934 BOUND_VARIABLE_386594) BOUND_VARIABLE_285515) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285515)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_386594) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13361 (forall ((BOUND_VARIABLE_386610 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_285502 tptp.set_Product_unit) (BOUND_VARIABLE_285503 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8935 BOUND_VARIABLE_386610) BOUND_VARIABLE_285502) BOUND_VARIABLE_285503) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285503)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_386610) BOUND_VARIABLE_285502))))))) (let ((_let_13362 (forall ((BOUND_VARIABLE_285467 tptp.set_nat) (BOUND_VARIABLE_386624 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_285469 tptp.set_Product_unit) (BOUND_VARIABLE_285470 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285470)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6175 BOUND_VARIABLE_285467) BOUND_VARIABLE_386624)) BOUND_VARIABLE_285469))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_8936 BOUND_VARIABLE_285467) BOUND_VARIABLE_386624) BOUND_VARIABLE_285469) BOUND_VARIABLE_285470))))) (let ((_let_13363 (forall ((BOUND_VARIABLE_386647 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_285456 tptp.nat)) (= (ho_4593 (ho_5006 k_8937 BOUND_VARIABLE_386647) BOUND_VARIABLE_285456) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285456)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_386647) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13364 (forall ((BOUND_VARIABLE_386663 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_285443 tptp.set_Product_unit) (BOUND_VARIABLE_285444 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_8938 BOUND_VARIABLE_386663) BOUND_VARIABLE_285443) BOUND_VARIABLE_285444) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285444)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_386663) BOUND_VARIABLE_285443))))))) (let ((_let_13365 (forall ((BOUND_VARIABLE_386677 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_285409 tptp.set_nat) (BOUND_VARIABLE_285410 tptp.set_Product_unit) (BOUND_VARIABLE_285411 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_285411)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6176 BOUND_VARIABLE_386677) BOUND_VARIABLE_285409)) BOUND_VARIABLE_285410))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_8939 BOUND_VARIABLE_386677) BOUND_VARIABLE_285409) BOUND_VARIABLE_285410) BOUND_VARIABLE_285411))))) (let ((_let_13366 (forall ((BOUND_VARIABLE_386698 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_285392 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285392)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_386698) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_8838 k_8940 BOUND_VARIABLE_386698) BOUND_VARIABLE_285392))))) (let ((_let_13367 (forall ((BOUND_VARIABLE_386716 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_285379 tptp.set_nat) (BOUND_VARIABLE_285380 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_8941 BOUND_VARIABLE_386716) BOUND_VARIABLE_285379) BOUND_VARIABLE_285380) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285380)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_386716) BOUND_VARIABLE_285379))))))) (let ((_let_13368 (forall ((BOUND_VARIABLE_386730 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_285345 tptp.set_int) (BOUND_VARIABLE_285346 tptp.set_nat) (BOUND_VARIABLE_285347 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285347)) (ho_7553 (ho_7552 k_7551 (ho_6144 (ho_6143 k_6177 BOUND_VARIABLE_386730) BOUND_VARIABLE_285345)) BOUND_VARIABLE_285346))) (ho_5218 (ho_7557 (ho_8787 (ho_8786 k_8942 BOUND_VARIABLE_386730) BOUND_VARIABLE_285345) BOUND_VARIABLE_285346) BOUND_VARIABLE_285347))))) (let ((_let_13369 (forall ((BOUND_VARIABLE_386753 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_285333 tptp.int)) (= (ho_5218 (ho_8844 k_8943 BOUND_VARIABLE_386753) BOUND_VARIABLE_285333) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285333)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_386753) tptp.bot_bot_set_o))))))) (let ((_let_13370 (forall ((BOUND_VARIABLE_386769 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_285320 tptp.set_o) (BOUND_VARIABLE_285321 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_8944 BOUND_VARIABLE_386769) BOUND_VARIABLE_285320) BOUND_VARIABLE_285321) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285321)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_386769) BOUND_VARIABLE_285320))))))) (let ((_let_13371 (forall ((BOUND_VARIABLE_386783 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_285286 tptp.set_int) (BOUND_VARIABLE_285287 tptp.set_o) (BOUND_VARIABLE_285288 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285288)) (ho_7566 (ho_7565 k_7564 (ho_6148 (ho_6147 k_6178 BOUND_VARIABLE_386783) BOUND_VARIABLE_285286)) BOUND_VARIABLE_285287))) (ho_5218 (ho_7570 (ho_8793 (ho_8792 k_8945 BOUND_VARIABLE_386783) BOUND_VARIABLE_285286) BOUND_VARIABLE_285287) BOUND_VARIABLE_285288))))) (let ((_let_13372 (forall ((BOUND_VARIABLE_386806 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_285274 tptp.int)) (= (ho_5218 (ho_8850 k_8946 BOUND_VARIABLE_386806) BOUND_VARIABLE_285274) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285274)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_386806) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13373 (forall ((BOUND_VARIABLE_386822 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_285261 tptp.set_Product_unit) (BOUND_VARIABLE_285262 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_8947 BOUND_VARIABLE_386822) BOUND_VARIABLE_285261) BOUND_VARIABLE_285262) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285262)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_386822) BOUND_VARIABLE_285261))))))) (let ((_let_13374 (forall ((BOUND_VARIABLE_386836 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_285227 tptp.set_int) (BOUND_VARIABLE_285228 tptp.set_Product_unit) (BOUND_VARIABLE_285229 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_285229)) (ho_8712 (ho_8711 k_8710 (ho_6152 (ho_6151 k_6179 BOUND_VARIABLE_386836) BOUND_VARIABLE_285227)) BOUND_VARIABLE_285228))) (ho_5218 (ho_8716 (ho_8799 (ho_8798 k_8948 BOUND_VARIABLE_386836) BOUND_VARIABLE_285227) BOUND_VARIABLE_285228) BOUND_VARIABLE_285229))))) (let ((_let_13375 (forall ((BOUND_VARIABLE_386860 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_285217 tptp.set_rat) (BOUND_VARIABLE_285218 tptp.nat)) (= (ho_7561 (ho_8803 (ho_8802 k_8949 BOUND_VARIABLE_386860) BOUND_VARIABLE_285217) BOUND_VARIABLE_285218) (ho_7421 (ho_8805 k_8950 (ho_7561 BOUND_VARIABLE_386860 BOUND_VARIABLE_285218)) BOUND_VARIABLE_285217))))) (let ((_let_13376 (forall ((BOUND_VARIABLE_386875 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_285207 tptp.set_rat) (BOUND_VARIABLE_285208 Bool)) (= (ho_7574 (ho_8809 (ho_8808 k_8951 BOUND_VARIABLE_386875) BOUND_VARIABLE_285207) BOUND_VARIABLE_285208) (ho_7421 (ho_8805 k_8950 (ho_7574 BOUND_VARIABLE_386875 BOUND_VARIABLE_285208)) BOUND_VARIABLE_285207))))) (let ((_let_13377 (forall ((BOUND_VARIABLE_386889 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_285197 tptp.set_rat) (BOUND_VARIABLE_285198 tptp.product_unit)) (= (ho_7364 (ho_8813 (ho_8812 k_8952 BOUND_VARIABLE_386889) BOUND_VARIABLE_285197) BOUND_VARIABLE_285198) (ho_7421 (ho_8805 k_8950 (ho_7364 BOUND_VARIABLE_386889 BOUND_VARIABLE_285198)) BOUND_VARIABLE_285197))))) (let ((_let_13378 (forall ((BOUND_VARIABLE_386903 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_285187 tptp.set_char) (BOUND_VARIABLE_285188 tptp.nat)) (= (ho_8815 (ho_8818 (ho_8817 k_8953 BOUND_VARIABLE_386903) BOUND_VARIABLE_285187) BOUND_VARIABLE_285188) (ho_8821 (ho_8820 k_8954 (ho_8815 BOUND_VARIABLE_386903 BOUND_VARIABLE_285188)) BOUND_VARIABLE_285187))))) (let ((_let_13379 (forall ((BOUND_VARIABLE_386918 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_285177 tptp.set_char) (BOUND_VARIABLE_285178 Bool)) (= (ho_8823 (ho_8826 (ho_8825 k_8955 BOUND_VARIABLE_386918) BOUND_VARIABLE_285177) BOUND_VARIABLE_285178) (ho_8821 (ho_8820 k_8954 (ho_8823 BOUND_VARIABLE_386918 BOUND_VARIABLE_285178)) BOUND_VARIABLE_285177))))) (let ((_let_13380 (forall ((BOUND_VARIABLE_386932 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_285167 tptp.set_char) (BOUND_VARIABLE_285168 tptp.product_unit)) (= (ho_8828 (ho_8831 (ho_8830 k_8956 BOUND_VARIABLE_386932) BOUND_VARIABLE_285167) BOUND_VARIABLE_285168) (ho_8821 (ho_8820 k_8954 (ho_8828 BOUND_VARIABLE_386932 BOUND_VARIABLE_285168)) BOUND_VARIABLE_285167))))) (let ((_let_13381 (forall ((BOUND_VARIABLE_285139 tptp.set_set_nat) (BOUND_VARIABLE_285140 tptp.nat)) (= (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_285140) (ho_4845 k_4844 (ho_5067 k_6186 BOUND_VARIABLE_285139))) (ho_4593 (ho_5067 k_8957 BOUND_VARIABLE_285139) BOUND_VARIABLE_285140))))) (let ((_let_13382 (forall ((BOUND_VARIABLE_285116 tptp.set_set_nat) (BOUND_VARIABLE_285117 tptp.nat)) (= (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_285117) (ho_4845 k_4844 (ho_5067 k_6187 BOUND_VARIABLE_285116))) (ho_4593 (ho_5067 k_8958 BOUND_VARIABLE_285116) BOUND_VARIABLE_285117))))) (let ((_let_13383 (forall ((BOUND_VARIABLE_285089 tptp.set_set_int) (BOUND_VARIABLE_285090 tptp.int)) (= (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_285090) (ho_5339 k_5338 (ho_6198 k_6197 BOUND_VARIABLE_285089))) (ho_5218 (ho_6198 k_8959 BOUND_VARIABLE_285089) BOUND_VARIABLE_285090))))) (let ((_let_13384 (forall ((BOUND_VARIABLE_285066 tptp.set_set_int) (BOUND_VARIABLE_285067 tptp.int)) (= (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_285067) (ho_5339 k_5338 (ho_6198 k_6199 BOUND_VARIABLE_285066))) (ho_5218 (ho_6198 k_8960 BOUND_VARIABLE_285066) BOUND_VARIABLE_285067))))) (let ((_let_13385 (forall ((BOUND_VARIABLE_285039 tptp.set_set_o) (BOUND_VARIABLE_285040 Bool)) (= (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_285040) (ho_6204 k_6203 (ho_6212 k_6211 BOUND_VARIABLE_285039))) (ho_5235 (ho_6212 k_8961 BOUND_VARIABLE_285039) BOUND_VARIABLE_285040))))) (let ((_let_13386 (forall ((BOUND_VARIABLE_285016 tptp.set_set_o) (BOUND_VARIABLE_285017 Bool)) (= (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_285017) (ho_6204 k_6203 (ho_6212 k_6213 BOUND_VARIABLE_285016))) (ho_5235 (ho_6212 k_8962 BOUND_VARIABLE_285016) BOUND_VARIABLE_285017))))) (let ((_let_13387 (forall ((BOUND_VARIABLE_284989 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284990 tptp.product_prod_nat_nat)) (= (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_284990) (ho_4515 k_4514 (ho_6221 k_6220 BOUND_VARIABLE_284989))) (ho_4575 (ho_6221 k_8963 BOUND_VARIABLE_284989) BOUND_VARIABLE_284990))))) (let ((_let_13388 (forall ((BOUND_VARIABLE_284966 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284967 tptp.product_prod_nat_nat)) (= (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_284967) (ho_4515 k_4514 (ho_6221 k_6222 BOUND_VARIABLE_284966))) (ho_4575 (ho_6221 k_8964 BOUND_VARIABLE_284966) BOUND_VARIABLE_284967))))) (let ((_let_13389 (forall ((BOUND_VARIABLE_284939 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284940 tptp.produc3843707927480180839at_nat)) (= (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_284940) (ho_4495 k_4494 (ho_5072 k_6229 BOUND_VARIABLE_284939))) (ho_4544 (ho_5072 k_8965 BOUND_VARIABLE_284939) BOUND_VARIABLE_284940))))) (let ((_let_13390 (forall ((BOUND_VARIABLE_284916 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284917 tptp.produc3843707927480180839at_nat)) (= (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_284917) (ho_4495 k_4494 (ho_5072 k_6230 BOUND_VARIABLE_284916))) (ho_4544 (ho_5072 k_8966 BOUND_VARIABLE_284916) BOUND_VARIABLE_284917))))) (let ((_let_13391 (forall ((BOUND_VARIABLE_284889 tptp.set_set_nat) (BOUND_VARIABLE_284890 tptp.nat)) (= (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_284890) (ho_4845 k_4844 (ho_5067 k_6231 BOUND_VARIABLE_284889))) (ho_4593 (ho_5067 k_8967 BOUND_VARIABLE_284889) BOUND_VARIABLE_284890))))) (let ((_let_13392 (forall ((BOUND_VARIABLE_284866 tptp.set_set_nat) (BOUND_VARIABLE_284867 tptp.nat)) (= (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_284867) (ho_4845 k_4844 (ho_5067 k_6232 BOUND_VARIABLE_284866))) (ho_4593 (ho_5067 k_8968 BOUND_VARIABLE_284866) BOUND_VARIABLE_284867))))) (let ((_let_13393 (forall ((BOUND_VARIABLE_284839 tptp.set_set_int) (BOUND_VARIABLE_284840 tptp.int)) (= (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_284840) (ho_5339 k_5338 (ho_6198 k_6233 BOUND_VARIABLE_284839))) (ho_5218 (ho_6198 k_8969 BOUND_VARIABLE_284839) BOUND_VARIABLE_284840))))) (let ((_let_13394 (forall ((BOUND_VARIABLE_284816 tptp.set_set_int) (BOUND_VARIABLE_284817 tptp.int)) (= (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_284817) (ho_5339 k_5338 (ho_6198 k_6234 BOUND_VARIABLE_284816))) (ho_5218 (ho_6198 k_8970 BOUND_VARIABLE_284816) BOUND_VARIABLE_284817))))) (let ((_let_13395 (forall ((BOUND_VARIABLE_284789 tptp.set_set_o) (BOUND_VARIABLE_284790 Bool)) (= (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_284790) (ho_6204 k_6203 (ho_6212 k_6235 BOUND_VARIABLE_284789))) (ho_5235 (ho_6212 k_8971 BOUND_VARIABLE_284789) BOUND_VARIABLE_284790))))) (let ((_let_13396 (forall ((BOUND_VARIABLE_284766 tptp.set_set_o) (BOUND_VARIABLE_284767 Bool)) (= (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_284767) (ho_6204 k_6203 (ho_6212 k_6236 BOUND_VARIABLE_284766))) (ho_5235 (ho_6212 k_8972 BOUND_VARIABLE_284766) BOUND_VARIABLE_284767))))) (let ((_let_13397 (forall ((BOUND_VARIABLE_284739 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284740 tptp.product_prod_nat_nat)) (= (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_284740) (ho_4515 k_4514 (ho_6221 k_6237 BOUND_VARIABLE_284739))) (ho_4575 (ho_6221 k_8973 BOUND_VARIABLE_284739) BOUND_VARIABLE_284740))))) (let ((_let_13398 (forall ((BOUND_VARIABLE_284716 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284717 tptp.product_prod_nat_nat)) (= (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_284717) (ho_4515 k_4514 (ho_6221 k_6238 BOUND_VARIABLE_284716))) (ho_4575 (ho_6221 k_8974 BOUND_VARIABLE_284716) BOUND_VARIABLE_284717))))) (let ((_let_13399 (forall ((BOUND_VARIABLE_284689 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284690 tptp.produc3843707927480180839at_nat)) (= (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_284690) (ho_4495 k_4494 (ho_5072 k_6239 BOUND_VARIABLE_284689))) (ho_4544 (ho_5072 k_8975 BOUND_VARIABLE_284689) BOUND_VARIABLE_284690))))) (let ((_let_13400 (forall ((BOUND_VARIABLE_284666 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284667 tptp.produc3843707927480180839at_nat)) (= (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_284667) (ho_4495 k_4494 (ho_5072 k_6240 BOUND_VARIABLE_284666))) (ho_4544 (ho_5072 k_8976 BOUND_VARIABLE_284666) BOUND_VARIABLE_284667))))) (let ((_let_13401 (forall ((BOUND_VARIABLE_284634 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284635 tptp.int) (BOUND_VARIABLE_284636 tptp.int)) (= (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_284635) BOUND_VARIABLE_284636)) (ho_4601 k_4600 (ho_6253 k_6252 BOUND_VARIABLE_284634))) (ho_5218 (ho_5250 (ho_8978 k_8977 BOUND_VARIABLE_284634) BOUND_VARIABLE_284635) BOUND_VARIABLE_284636))))) (let ((_let_13402 (forall ((BOUND_VARIABLE_284608 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284609 tptp.int) (BOUND_VARIABLE_284610 tptp.int)) (= (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_284609) BOUND_VARIABLE_284610)) (ho_4601 k_4600 (ho_6253 k_6254 BOUND_VARIABLE_284608))) (ho_5218 (ho_5250 (ho_8978 k_8979 BOUND_VARIABLE_284608) BOUND_VARIABLE_284609) BOUND_VARIABLE_284610))))) (let ((_let_13403 (forall ((BOUND_VARIABLE_284576 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284577 tptp.nat) (BOUND_VARIABLE_284578 tptp.nat)) (= (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_284577) BOUND_VARIABLE_284578)) (ho_4515 k_4514 (ho_6221 k_6261 BOUND_VARIABLE_284576))) (ho_4593 (ho_4511 (ho_8981 k_8980 BOUND_VARIABLE_284576) BOUND_VARIABLE_284577) BOUND_VARIABLE_284578))))) (let ((_let_13404 (forall ((BOUND_VARIABLE_284550 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284551 tptp.nat) (BOUND_VARIABLE_284552 tptp.nat)) (= (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_284551) BOUND_VARIABLE_284552)) (ho_4515 k_4514 (ho_6221 k_6262 BOUND_VARIABLE_284550))) (ho_4593 (ho_4511 (ho_8981 k_8982 BOUND_VARIABLE_284550) BOUND_VARIABLE_284551) BOUND_VARIABLE_284552))))) (let ((_let_13405 (forall ((BOUND_VARIABLE_284538 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284539 tptp.nat) (BOUND_VARIABLE_284540 tptp.num)) (= (ho_6266 (ho_6265 (ho_8984 k_8983 BOUND_VARIABLE_284538) BOUND_VARIABLE_284539) BOUND_VARIABLE_284540) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_284539) BOUND_VARIABLE_284540)) (ho_6982 k_6981 BOUND_VARIABLE_284538)))))) (let ((_let_13406 (forall ((BOUND_VARIABLE_284514 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284515 tptp.nat) (BOUND_VARIABLE_284516 tptp.num)) (= (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_284515) BOUND_VARIABLE_284516)) (ho_6982 k_6981 (ho_8997 (ho_8996 k_8995 k_8993) (ho_8992 (ho_8991 k_8990 k_8988) (ho_8987 (ho_8986 k_8985 k_6263) BOUND_VARIABLE_284514))))) (ho_6266 (ho_6265 (ho_8984 k_8998 BOUND_VARIABLE_284514) BOUND_VARIABLE_284515) BOUND_VARIABLE_284516))))) (let ((_let_13407 (forall ((BOUND_VARIABLE_284482 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284483 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284484 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_284483) BOUND_VARIABLE_284484)) (ho_4495 k_4494 (ho_5072 k_6276 BOUND_VARIABLE_284482))) (ho_5240 (ho_4491 (ho_9000 k_8999 BOUND_VARIABLE_284482) BOUND_VARIABLE_284483) BOUND_VARIABLE_284484))))) (let ((_let_13408 (forall ((BOUND_VARIABLE_284456 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284457 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284458 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_284457) BOUND_VARIABLE_284458)) (ho_4495 k_4494 (ho_5072 k_6277 BOUND_VARIABLE_284456))) (ho_5240 (ho_4491 (ho_9000 k_9001 BOUND_VARIABLE_284456) BOUND_VARIABLE_284457) BOUND_VARIABLE_284458))))) (let ((_let_13409 (forall ((BOUND_VARIABLE_284444 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284445 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284446 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_9003 k_9002 BOUND_VARIABLE_284444) BOUND_VARIABLE_284445) BOUND_VARIABLE_284446) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_284445) BOUND_VARIABLE_284446)) (ho_9005 k_9004 BOUND_VARIABLE_284444)))))) (let ((_let_13410 (forall ((BOUND_VARIABLE_284420 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284421 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284422 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_284421) BOUND_VARIABLE_284422)) (ho_9005 k_9004 (ho_9018 (ho_9017 k_9016 k_9014) (ho_9013 (ho_9012 k_9011 k_9009) (ho_9008 (ho_9007 k_9006 k_6278) BOUND_VARIABLE_284420))))) (ho_5242 (ho_6280 (ho_9003 k_9019 BOUND_VARIABLE_284420) BOUND_VARIABLE_284421) BOUND_VARIABLE_284422))))) (let ((_let_13411 (forall ((BOUND_VARIABLE_284388 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284389 tptp.int) (BOUND_VARIABLE_284390 tptp.int)) (= (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_284389) BOUND_VARIABLE_284390)) (ho_4601 k_4600 (ho_6253 k_6287 BOUND_VARIABLE_284388))) (ho_5218 (ho_5250 (ho_8978 k_9020 BOUND_VARIABLE_284388) BOUND_VARIABLE_284389) BOUND_VARIABLE_284390))))) (let ((_let_13412 (forall ((BOUND_VARIABLE_284361 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284362 tptp.int) (BOUND_VARIABLE_284363 tptp.int)) (= (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_284362) BOUND_VARIABLE_284363)) (ho_4601 k_4600 (ho_6253 k_6288 BOUND_VARIABLE_284361))) (ho_5218 (ho_5250 (ho_8978 k_9021 BOUND_VARIABLE_284361) BOUND_VARIABLE_284362) BOUND_VARIABLE_284363))))) (let ((_let_13413 (forall ((BOUND_VARIABLE_284329 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284330 tptp.nat) (BOUND_VARIABLE_284331 tptp.nat)) (= (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_284330) BOUND_VARIABLE_284331)) (ho_4515 k_4514 (ho_6221 k_6289 BOUND_VARIABLE_284329))) (ho_4593 (ho_4511 (ho_8981 k_9022 BOUND_VARIABLE_284329) BOUND_VARIABLE_284330) BOUND_VARIABLE_284331))))) (let ((_let_13414 (forall ((BOUND_VARIABLE_284303 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284304 tptp.nat) (BOUND_VARIABLE_284305 tptp.nat)) (= (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_284304) BOUND_VARIABLE_284305)) (ho_4515 k_4514 (ho_6221 k_6290 BOUND_VARIABLE_284303))) (ho_4593 (ho_4511 (ho_8981 k_9023 BOUND_VARIABLE_284303) BOUND_VARIABLE_284304) BOUND_VARIABLE_284305))))) (let ((_let_13415 (forall ((BOUND_VARIABLE_284291 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284292 tptp.nat) (BOUND_VARIABLE_284293 tptp.num)) (= (ho_6266 (ho_6265 (ho_8984 k_9024 BOUND_VARIABLE_284291) BOUND_VARIABLE_284292) BOUND_VARIABLE_284293) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_284292) BOUND_VARIABLE_284293)) (ho_6982 k_9025 BOUND_VARIABLE_284291)))))) (let ((_let_13416 (forall ((BOUND_VARIABLE_284267 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284268 tptp.nat) (BOUND_VARIABLE_284269 tptp.num)) (= (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_284268) BOUND_VARIABLE_284269)) (ho_6982 k_9025 (ho_8997 (ho_8996 k_8995 k_8993) (ho_8992 (ho_8991 k_8990 k_8988) (ho_8987 (ho_8986 k_8985 k_6291) BOUND_VARIABLE_284267))))) (ho_6266 (ho_6265 (ho_8984 k_9026 BOUND_VARIABLE_284267) BOUND_VARIABLE_284268) BOUND_VARIABLE_284269))))) (let ((_let_13417 (forall ((BOUND_VARIABLE_284235 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284236 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284237 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_284236) BOUND_VARIABLE_284237)) (ho_4495 k_4494 (ho_5072 k_6292 BOUND_VARIABLE_284235))) (ho_5240 (ho_4491 (ho_9000 k_9027 BOUND_VARIABLE_284235) BOUND_VARIABLE_284236) BOUND_VARIABLE_284237))))) (let ((_let_13418 (forall ((BOUND_VARIABLE_284209 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284210 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284211 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_284210) BOUND_VARIABLE_284211)) (ho_4495 k_4494 (ho_5072 k_6293 BOUND_VARIABLE_284209))) (ho_5240 (ho_4491 (ho_9000 k_9028 BOUND_VARIABLE_284209) BOUND_VARIABLE_284210) BOUND_VARIABLE_284211))))) (let ((_let_13419 (forall ((BOUND_VARIABLE_284197 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284198 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284199 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_9003 k_9029 BOUND_VARIABLE_284197) BOUND_VARIABLE_284198) BOUND_VARIABLE_284199) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_284198) BOUND_VARIABLE_284199)) (ho_9005 k_9030 BOUND_VARIABLE_284197)))))) (let ((_let_13420 (forall ((BOUND_VARIABLE_284173 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284174 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284175 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_284174) BOUND_VARIABLE_284175)) (ho_9005 k_9030 (ho_9018 (ho_9017 k_9016 k_9014) (ho_9013 (ho_9012 k_9011 k_9009) (ho_9008 (ho_9007 k_9006 k_6294) BOUND_VARIABLE_284173))))) (ho_5242 (ho_6280 (ho_9003 k_9031 BOUND_VARIABLE_284173) BOUND_VARIABLE_284174) BOUND_VARIABLE_284175))))) (let ((_let_13421 (forall ((BOUND_VARIABLE_387567 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_387566 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_284128 tptp.set_nat) (BOUND_VARIABLE_284129 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_284129)) (ho_4565 (ho_4564 k_4563 (ho_4768 (ho_5950 k_6295 BOUND_VARIABLE_387567) BOUND_VARIABLE_387566)) BOUND_VARIABLE_284128))) (ho_4575 (ho_4758 (ho_5290 (ho_8359 k_9032 BOUND_VARIABLE_387567) BOUND_VARIABLE_387566) BOUND_VARIABLE_284128) BOUND_VARIABLE_284129))))) (let ((_let_13422 (forall ((BOUND_VARIABLE_387588 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_284090 tptp.set_nat) (BOUND_VARIABLE_284091 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_284091)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6296 BOUND_VARIABLE_387588)) BOUND_VARIABLE_284090))) (ho_4575 (ho_4758 (ho_5290 k_9033 BOUND_VARIABLE_387588) BOUND_VARIABLE_284090) BOUND_VARIABLE_284091))))) (let ((_let_13423 (forall ((BOUND_VARIABLE_387606 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_284053 tptp.set_nat) (BOUND_VARIABLE_284054 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_284054)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6297 BOUND_VARIABLE_387606)) BOUND_VARIABLE_284053))) (ho_4575 (ho_4758 (ho_5290 k_9034 BOUND_VARIABLE_387606) BOUND_VARIABLE_284053) BOUND_VARIABLE_284054))))) (let ((_let_13424 (forall ((BOUND_VARIABLE_284014 tptp.set_nat) (BOUND_VARIABLE_284015 tptp.set_nat) (BOUND_VARIABLE_284016 tptp.set_nat) (BOUND_VARIABLE_284017 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_284017)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6298 BOUND_VARIABLE_284014)) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_284015) BOUND_VARIABLE_284016)))) (ho_4575 (ho_4758 (ho_5149 (ho_8355 k_9035 BOUND_VARIABLE_284014) BOUND_VARIABLE_284015) BOUND_VARIABLE_284016) BOUND_VARIABLE_284017))))) (let ((_let_13425 (forall ((BOUND_VARIABLE_283979 tptp.set_nat) (BOUND_VARIABLE_283980 tptp.set_nat) (BOUND_VARIABLE_283981 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_283981)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6299 BOUND_VARIABLE_283979)) BOUND_VARIABLE_283980))) (ho_4575 (ho_4758 (ho_5149 k_9036 BOUND_VARIABLE_283979) BOUND_VARIABLE_283980) BOUND_VARIABLE_283981))))) (let ((_let_13426 (forall ((BOUND_VARIABLE_283944 tptp.set_nat) (BOUND_VARIABLE_283945 tptp.set_nat) (BOUND_VARIABLE_283946 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_283946)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6300 BOUND_VARIABLE_283944)) BOUND_VARIABLE_283945))) (ho_4575 (ho_4758 (ho_5149 k_9037 BOUND_VARIABLE_283944) BOUND_VARIABLE_283945) BOUND_VARIABLE_283946))))) (let ((_let_13427 (forall ((BOUND_VARIABLE_283936 tptp.code_integer) (BOUND_VARIABLE_283937 tptp.code_integer)) (= (ho_5399 (ho_5398 k_9038 BOUND_VARIABLE_283936) BOUND_VARIABLE_283937) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_283937) BOUND_VARIABLE_283936))))) (let ((_let_13428 (forall ((BOUND_VARIABLE_283928 tptp.code_integer) (BOUND_VARIABLE_283929 tptp.code_integer)) (= (ho_5399 (ho_5398 k_9039 BOUND_VARIABLE_283928) BOUND_VARIABLE_283929) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_283929) BOUND_VARIABLE_283928))))) (let ((_let_13429 (forall ((BOUND_VARIABLE_283920 tptp.code_integer) (BOUND_VARIABLE_283921 tptp.code_integer)) (= (ho_5399 (ho_5398 k_9040 BOUND_VARIABLE_283920) BOUND_VARIABLE_283921) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_283921) BOUND_VARIABLE_283920))))) (let ((_let_13430 (forall ((BOUND_VARIABLE_283912 tptp.rat) (BOUND_VARIABLE_283913 tptp.rat)) (= (ho_6804 (ho_8051 k_9041 BOUND_VARIABLE_283912) BOUND_VARIABLE_283913) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_283913) BOUND_VARIABLE_283912))))) (let ((_let_13431 (forall ((BOUND_VARIABLE_283904 tptp.rat) (BOUND_VARIABLE_283905 tptp.rat)) (= (ho_6804 (ho_8051 k_9042 BOUND_VARIABLE_283904) BOUND_VARIABLE_283905) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_283905) BOUND_VARIABLE_283904))))) (let ((_let_13432 (forall ((BOUND_VARIABLE_283896 tptp.rat) (BOUND_VARIABLE_283897 tptp.rat)) (= (ho_6804 (ho_8051 k_9043 BOUND_VARIABLE_283896) BOUND_VARIABLE_283897) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_283897) BOUND_VARIABLE_283896))))) (let ((_let_13433 (forall ((BOUND_VARIABLE_283884 tptp.int) (BOUND_VARIABLE_283885 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_283885) BOUND_VARIABLE_283884) (ho_4914 (ho_5432 k_9044 BOUND_VARIABLE_283884) BOUND_VARIABLE_283885))))) (let ((_let_13434 (forall ((BOUND_VARIABLE_283872 tptp.int) (BOUND_VARIABLE_283873 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_283873) BOUND_VARIABLE_283872) (ho_4914 (ho_5432 k_9045 BOUND_VARIABLE_283872) BOUND_VARIABLE_283873))))) (let ((_let_13435 (forall ((BOUND_VARIABLE_283860 tptp.int) (BOUND_VARIABLE_283861 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_283861) BOUND_VARIABLE_283860) (ho_4914 (ho_5432 k_9046 BOUND_VARIABLE_283860) BOUND_VARIABLE_283861))))) (let ((_let_13436 (forall ((BOUND_VARIABLE_387759 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_283821 tptp.set_nat) (BOUND_VARIABLE_283822 tptp.set_nat) (BOUND_VARIABLE_283823 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_283823)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6301 BOUND_VARIABLE_387759)) (ho_4560 (ho_4559 k_5259 BOUND_VARIABLE_283821) BOUND_VARIABLE_283822)))) (ho_4575 (ho_4758 (ho_5149 (ho_8433 k_9047 BOUND_VARIABLE_387759) BOUND_VARIABLE_283821) BOUND_VARIABLE_283822) BOUND_VARIABLE_283823))))) (let ((_let_13437 (forall ((BOUND_VARIABLE_387779 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_283784 tptp.set_nat) (BOUND_VARIABLE_283785 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_283785)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6302 BOUND_VARIABLE_387779)) BOUND_VARIABLE_283784))) (ho_4575 (ho_4758 (ho_5290 k_9048 BOUND_VARIABLE_387779) BOUND_VARIABLE_283784) BOUND_VARIABLE_283785))))) (let ((_let_13438 (forall ((BOUND_VARIABLE_387797 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_283747 tptp.set_nat) (BOUND_VARIABLE_283748 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_283748)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6303 BOUND_VARIABLE_387797)) BOUND_VARIABLE_283747))) (ho_4575 (ho_4758 (ho_5290 k_9049 BOUND_VARIABLE_387797) BOUND_VARIABLE_283747) BOUND_VARIABLE_283748))))) (let ((_let_13439 (forall ((BOUND_VARIABLE_387815 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_283714 tptp.set_nat) (BOUND_VARIABLE_283715 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_283715)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6304 BOUND_VARIABLE_387815) BOUND_VARIABLE_283714)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_4762 (ho_7857 k_9050 BOUND_VARIABLE_387815) BOUND_VARIABLE_283714) BOUND_VARIABLE_283715))))) (let ((_let_13440 (forall ((BOUND_VARIABLE_387834 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_283679 tptp.set_nat) (BOUND_VARIABLE_283680 tptp.set_Product_unit) (BOUND_VARIABLE_283681 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_283681)) (ho_4945 (ho_4944 k_4943 (ho_5669 (ho_5668 k_6305 BOUND_VARIABLE_387834) BOUND_VARIABLE_283679)) BOUND_VARIABLE_283680))) (ho_4593 (ho_5009 (ho_7450 (ho_7696 k_9051 BOUND_VARIABLE_387834) BOUND_VARIABLE_283679) BOUND_VARIABLE_283680) BOUND_VARIABLE_283681))))) (let ((_let_13441 (forall ((BOUND_VARIABLE_387858 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_283666 tptp.set_Product_unit) (BOUND_VARIABLE_283667 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9052 BOUND_VARIABLE_387858) BOUND_VARIABLE_283666) BOUND_VARIABLE_283667) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_283667)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_387858) BOUND_VARIABLE_283666))))))) (let ((_let_13442 (forall ((BOUND_VARIABLE_387872 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_283633 tptp.set_int) (BOUND_VARIABLE_283634 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283634)) (ho_7553 (ho_7552 k_7551 (ho_6144 (ho_6143 k_6306 BOUND_VARIABLE_387872) BOUND_VARIABLE_283633)) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_5229 (ho_8784 k_9053 BOUND_VARIABLE_387872) BOUND_VARIABLE_283633) BOUND_VARIABLE_283634))))) (let ((_let_13443 (forall ((BOUND_VARIABLE_387891 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_283598 tptp.set_int) (BOUND_VARIABLE_283599 tptp.set_nat) (BOUND_VARIABLE_283600 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283600)) (ho_7553 (ho_7552 k_7551 (ho_6144 (ho_6143 k_6307 BOUND_VARIABLE_387891) BOUND_VARIABLE_283598)) BOUND_VARIABLE_283599))) (ho_5218 (ho_7557 (ho_8787 (ho_8786 k_9054 BOUND_VARIABLE_387891) BOUND_VARIABLE_283598) BOUND_VARIABLE_283599) BOUND_VARIABLE_283600))))) (let ((_let_13444 (forall ((BOUND_VARIABLE_387915 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_283585 tptp.set_nat) (BOUND_VARIABLE_283586 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9055 BOUND_VARIABLE_387915) BOUND_VARIABLE_283585) BOUND_VARIABLE_283586) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283586)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_387915) BOUND_VARIABLE_283585))))))) (let ((_let_13445 (forall ((BOUND_VARIABLE_387929 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_283552 tptp.set_int) (BOUND_VARIABLE_283553 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283553)) (ho_7566 (ho_7565 k_7564 (ho_6148 (ho_6147 k_6308 BOUND_VARIABLE_387929) BOUND_VARIABLE_283552)) tptp.bot_bot_set_o))) (ho_5218 (ho_5229 (ho_8790 k_9056 BOUND_VARIABLE_387929) BOUND_VARIABLE_283552) BOUND_VARIABLE_283553))))) (let ((_let_13446 (forall ((BOUND_VARIABLE_387948 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_283517 tptp.set_int) (BOUND_VARIABLE_283518 tptp.set_o) (BOUND_VARIABLE_283519 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283519)) (ho_7566 (ho_7565 k_7564 (ho_6148 (ho_6147 k_6309 BOUND_VARIABLE_387948) BOUND_VARIABLE_283517)) BOUND_VARIABLE_283518))) (ho_5218 (ho_7570 (ho_8793 (ho_8792 k_9057 BOUND_VARIABLE_387948) BOUND_VARIABLE_283517) BOUND_VARIABLE_283518) BOUND_VARIABLE_283519))))) (let ((_let_13447 (forall ((BOUND_VARIABLE_387972 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_283504 tptp.set_o) (BOUND_VARIABLE_283505 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9058 BOUND_VARIABLE_387972) BOUND_VARIABLE_283504) BOUND_VARIABLE_283505) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283505)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_387972) BOUND_VARIABLE_283504))))))) (let ((_let_13448 (forall ((BOUND_VARIABLE_387986 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_283471 tptp.set_int) (BOUND_VARIABLE_283472 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283472)) (ho_8712 (ho_8711 k_8710 (ho_6152 (ho_6151 k_6310 BOUND_VARIABLE_387986) BOUND_VARIABLE_283471)) tptp.bot_bo3957492148770167129t_unit))) (ho_5218 (ho_5229 (ho_8796 k_9059 BOUND_VARIABLE_387986) BOUND_VARIABLE_283471) BOUND_VARIABLE_283472))))) (let ((_let_13449 (forall ((BOUND_VARIABLE_388005 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_283436 tptp.set_int) (BOUND_VARIABLE_283437 tptp.set_Product_unit) (BOUND_VARIABLE_283438 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283438)) (ho_8712 (ho_8711 k_8710 (ho_6152 (ho_6151 k_6311 BOUND_VARIABLE_388005) BOUND_VARIABLE_283436)) BOUND_VARIABLE_283437))) (ho_5218 (ho_8716 (ho_8799 (ho_8798 k_9060 BOUND_VARIABLE_388005) BOUND_VARIABLE_283436) BOUND_VARIABLE_283437) BOUND_VARIABLE_283438))))) (let ((_let_13450 (forall ((BOUND_VARIABLE_388029 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_283423 tptp.set_Product_unit) (BOUND_VARIABLE_283424 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_9061 BOUND_VARIABLE_388029) BOUND_VARIABLE_283423) BOUND_VARIABLE_283424) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283424)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_388029) BOUND_VARIABLE_283423))))))) (let ((_let_13451 (forall ((BOUND_VARIABLE_388046 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_283413 tptp.set_rat) (BOUND_VARIABLE_283414 tptp.nat)) (= (ho_7561 (ho_8803 (ho_8802 k_9062 BOUND_VARIABLE_388046) BOUND_VARIABLE_283413) BOUND_VARIABLE_283414) (ho_7421 (ho_8805 k_8950 (ho_7561 BOUND_VARIABLE_388046 BOUND_VARIABLE_283414)) BOUND_VARIABLE_283413))))) (let ((_let_13452 (forall ((BOUND_VARIABLE_388060 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_283403 tptp.set_rat) (BOUND_VARIABLE_283404 tptp.nat)) (= (ho_7561 (ho_8803 (ho_8802 k_9063 BOUND_VARIABLE_388060) BOUND_VARIABLE_283403) BOUND_VARIABLE_283404) (ho_7421 (ho_8805 k_8950 (ho_7561 BOUND_VARIABLE_388060 BOUND_VARIABLE_283404)) BOUND_VARIABLE_283403))))) (let ((_let_13453 (forall ((BOUND_VARIABLE_388074 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_283393 tptp.set_rat) (BOUND_VARIABLE_283394 Bool)) (= (ho_7574 (ho_8809 (ho_8808 k_9064 BOUND_VARIABLE_388074) BOUND_VARIABLE_283393) BOUND_VARIABLE_283394) (ho_7421 (ho_8805 k_8950 (ho_7574 BOUND_VARIABLE_388074 BOUND_VARIABLE_283394)) BOUND_VARIABLE_283393))))) (let ((_let_13454 (forall ((BOUND_VARIABLE_388088 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_283383 tptp.set_rat) (BOUND_VARIABLE_283384 Bool)) (= (ho_7574 (ho_8809 (ho_8808 k_9065 BOUND_VARIABLE_388088) BOUND_VARIABLE_283383) BOUND_VARIABLE_283384) (ho_7421 (ho_8805 k_8950 (ho_7574 BOUND_VARIABLE_388088 BOUND_VARIABLE_283384)) BOUND_VARIABLE_283383))))) (let ((_let_13455 (forall ((BOUND_VARIABLE_388102 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_283373 tptp.set_rat) (BOUND_VARIABLE_283374 tptp.product_unit)) (= (ho_7364 (ho_8813 (ho_8812 k_9066 BOUND_VARIABLE_388102) BOUND_VARIABLE_283373) BOUND_VARIABLE_283374) (ho_7421 (ho_8805 k_8950 (ho_7364 BOUND_VARIABLE_388102 BOUND_VARIABLE_283374)) BOUND_VARIABLE_283373))))) (let ((_let_13456 (forall ((BOUND_VARIABLE_388116 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_283363 tptp.set_rat) (BOUND_VARIABLE_283364 tptp.product_unit)) (= (ho_7364 (ho_8813 (ho_8812 k_9067 BOUND_VARIABLE_388116) BOUND_VARIABLE_283363) BOUND_VARIABLE_283364) (ho_7421 (ho_8805 k_8950 (ho_7364 BOUND_VARIABLE_388116 BOUND_VARIABLE_283364)) BOUND_VARIABLE_283363))))) (let ((_let_13457 (forall ((BOUND_VARIABLE_388130 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_283353 tptp.set_char) (BOUND_VARIABLE_283354 tptp.nat)) (= (ho_8815 (ho_8818 (ho_8817 k_9068 BOUND_VARIABLE_388130) BOUND_VARIABLE_283353) BOUND_VARIABLE_283354) (ho_8821 (ho_8820 k_8954 (ho_8815 BOUND_VARIABLE_388130 BOUND_VARIABLE_283354)) BOUND_VARIABLE_283353))))) (let ((_let_13458 (forall ((BOUND_VARIABLE_388144 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_283343 tptp.set_char) (BOUND_VARIABLE_283344 tptp.nat)) (= (ho_8815 (ho_8818 (ho_8817 k_9069 BOUND_VARIABLE_388144) BOUND_VARIABLE_283343) BOUND_VARIABLE_283344) (ho_8821 (ho_8820 k_8954 (ho_8815 BOUND_VARIABLE_388144 BOUND_VARIABLE_283344)) BOUND_VARIABLE_283343))))) (let ((_let_13459 (forall ((BOUND_VARIABLE_388158 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_283333 tptp.set_char) (BOUND_VARIABLE_283334 Bool)) (= (ho_8823 (ho_8826 (ho_8825 k_9070 BOUND_VARIABLE_388158) BOUND_VARIABLE_283333) BOUND_VARIABLE_283334) (ho_8821 (ho_8820 k_8954 (ho_8823 BOUND_VARIABLE_388158 BOUND_VARIABLE_283334)) BOUND_VARIABLE_283333))))) (let ((_let_13460 (forall ((BOUND_VARIABLE_388172 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_283323 tptp.set_char) (BOUND_VARIABLE_283324 Bool)) (= (ho_8823 (ho_8826 (ho_8825 k_9071 BOUND_VARIABLE_388172) BOUND_VARIABLE_283323) BOUND_VARIABLE_283324) (ho_8821 (ho_8820 k_8954 (ho_8823 BOUND_VARIABLE_388172 BOUND_VARIABLE_283324)) BOUND_VARIABLE_283323))))) (let ((_let_13461 (forall ((BOUND_VARIABLE_388186 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_283313 tptp.set_char) (BOUND_VARIABLE_283314 tptp.product_unit)) (= (ho_8828 (ho_8831 (ho_8830 k_9072 BOUND_VARIABLE_388186) BOUND_VARIABLE_283313) BOUND_VARIABLE_283314) (ho_8821 (ho_8820 k_8954 (ho_8828 BOUND_VARIABLE_388186 BOUND_VARIABLE_283314)) BOUND_VARIABLE_283313))))) (let ((_let_13462 (forall ((BOUND_VARIABLE_388200 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_283303 tptp.set_char) (BOUND_VARIABLE_283304 tptp.product_unit)) (= (ho_8828 (ho_8831 (ho_8830 k_9073 BOUND_VARIABLE_388200) BOUND_VARIABLE_283303) BOUND_VARIABLE_283304) (ho_8821 (ho_8820 k_8954 (ho_8828 BOUND_VARIABLE_388200 BOUND_VARIABLE_283304)) BOUND_VARIABLE_283303))))) (let ((_let_13463 (forall ((BOUND_VARIABLE_283294 tptp.code_integer) (BOUND_VARIABLE_283295 tptp.code_integer)) (= (ho_5399 (ho_5398 k_9074 BOUND_VARIABLE_283294) BOUND_VARIABLE_283295) (ho_5399 (ho_5398 k_5397 BOUND_VARIABLE_283295) BOUND_VARIABLE_283294))))) (let ((_let_13464 (forall ((BOUND_VARIABLE_283286 tptp.rat) (BOUND_VARIABLE_283287 tptp.rat)) (= (ho_6804 (ho_8051 k_9075 BOUND_VARIABLE_283286) BOUND_VARIABLE_283287) (ho_6804 (ho_8051 k_8052 BOUND_VARIABLE_283287) BOUND_VARIABLE_283286))))) (let ((_let_13465 (forall ((BOUND_VARIABLE_283274 tptp.int) (BOUND_VARIABLE_283275 tptp.int)) (= (ho_4914 (ho_5432 (ho_5431 (ho_5430 (ho_5429 k_5428 k_5424) (ho_5427 (ho_5426 k_5425 k_5424) k_5422)) k_6755) BOUND_VARIABLE_283275) BOUND_VARIABLE_283274) (ho_4914 (ho_5432 k_9076 BOUND_VARIABLE_283274) BOUND_VARIABLE_283275))))) (let ((_let_13466 (forall ((BOUND_VARIABLE_388238 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_283250 tptp.int) (BOUND_VARIABLE_283251 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_283250) B4)) (ho_4601 k_4600 k_4598))) (not (ho_6488 (ho_6484 BOUND_VARIABLE_388238 B4) BOUND_VARIABLE_283251))))) (ho_6488 (ho_6484 (ho_6487 k_9077 BOUND_VARIABLE_388238) BOUND_VARIABLE_283250) BOUND_VARIABLE_283251))))) (let ((_let_13467 (forall ((BOUND_VARIABLE_388263 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_283234 tptp.product_prod_nat_nat) (BOUND_VARIABLE_283235 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 k_9078 BOUND_VARIABLE_388263) BOUND_VARIABLE_283234) BOUND_VARIABLE_283235) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 k_9079 BOUND_VARIABLE_283234) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_388263 B4) BOUND_VARIABLE_283235))))))))) (let ((_let_13468 (forall ((BOUND_VARIABLE_388284 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_283219 tptp.int) (BOUND_VARIABLE_283220 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_9081 k_9080 BOUND_VARIABLE_388284) BOUND_VARIABLE_283219) BOUND_VARIABLE_283220) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_388284 BOUND_VARIABLE_283219) B4)) (not (ho_6488 (ho_6484 k_9082 B4) BOUND_VARIABLE_283220))))))))) (let ((_let_13469 (forall ((BOUND_VARIABLE_388309 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_283204 tptp.product_prod_nat_nat) (BOUND_VARIABLE_283205 tptp.int)) (= (ho_5218 (ho_5383 (ho_9084 k_9083 BOUND_VARIABLE_388309) BOUND_VARIABLE_283204) BOUND_VARIABLE_283205) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_388309 BOUND_VARIABLE_283204) B4)) (not (ho_5218 (ho_5383 k_9085 B4) BOUND_VARIABLE_283205))))))))) (let ((_let_13470 (forall ((BOUND_VARIABLE_283170 tptp.set_nat) (BOUND_VARIABLE_388331 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_283172 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_283172)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6312 BOUND_VARIABLE_283170) BOUND_VARIABLE_388331)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_5006 (ho_7792 k_9086 BOUND_VARIABLE_283170) BOUND_VARIABLE_388331) BOUND_VARIABLE_283172))))) (let ((_let_13471 (forall ((BOUND_VARIABLE_283135 tptp.set_nat) (BOUND_VARIABLE_388350 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_283137 tptp.set_Product_unit) (BOUND_VARIABLE_283138 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_283138)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_5632 k_6313 BOUND_VARIABLE_283135) BOUND_VARIABLE_388350)) BOUND_VARIABLE_283137))) (ho_4593 (ho_5009 (ho_5008 (ho_7643 k_9087 BOUND_VARIABLE_283135) BOUND_VARIABLE_388350) BOUND_VARIABLE_283137) BOUND_VARIABLE_283138))))) (let ((_let_13472 (forall ((BOUND_VARIABLE_388374 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_283123 tptp.set_Product_unit) (BOUND_VARIABLE_283124 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9088 BOUND_VARIABLE_388374) BOUND_VARIABLE_283123) BOUND_VARIABLE_283124) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_283124)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_388374) BOUND_VARIABLE_283123))))))) (let ((_let_13473 (forall ((BOUND_VARIABLE_283089 tptp.set_int) (BOUND_VARIABLE_388388 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_283091 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283091)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_6157 k_6314 BOUND_VARIABLE_283089) BOUND_VARIABLE_388388)) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_8838 (ho_8837 k_9089 BOUND_VARIABLE_283089) BOUND_VARIABLE_388388) BOUND_VARIABLE_283091))))) (let ((_let_13474 (forall ((BOUND_VARIABLE_283054 tptp.set_int) (BOUND_VARIABLE_388407 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_283056 tptp.set_nat) (BOUND_VARIABLE_283057 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283057)) (ho_7553 (ho_7552 k_7551 (ho_5613 (ho_6157 k_6315 BOUND_VARIABLE_283054) BOUND_VARIABLE_388407)) BOUND_VARIABLE_283056))) (ho_5218 (ho_7557 (ho_7585 (ho_8840 k_9090 BOUND_VARIABLE_283054) BOUND_VARIABLE_388407) BOUND_VARIABLE_283056) BOUND_VARIABLE_283057))))) (let ((_let_13475 (forall ((BOUND_VARIABLE_388431 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_283042 tptp.set_nat) (BOUND_VARIABLE_283043 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9091 BOUND_VARIABLE_388431) BOUND_VARIABLE_283042) BOUND_VARIABLE_283043) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283043)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_388431) BOUND_VARIABLE_283042))))))) (let ((_let_13476 (forall ((BOUND_VARIABLE_283008 tptp.set_int) (BOUND_VARIABLE_388445 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_283010 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_283010)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_6160 k_6316 BOUND_VARIABLE_283008) BOUND_VARIABLE_388445)) tptp.bot_bot_set_o))) (ho_5218 (ho_8844 (ho_8843 k_9092 BOUND_VARIABLE_283008) BOUND_VARIABLE_388445) BOUND_VARIABLE_283010))))) (let ((_let_13477 (forall ((BOUND_VARIABLE_282973 tptp.set_int) (BOUND_VARIABLE_388464 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_282975 tptp.set_o) (BOUND_VARIABLE_282976 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282976)) (ho_7566 (ho_7565 k_7564 (ho_5616 (ho_6160 k_6317 BOUND_VARIABLE_282973) BOUND_VARIABLE_388464)) BOUND_VARIABLE_282975))) (ho_5218 (ho_7570 (ho_7590 (ho_8846 k_9093 BOUND_VARIABLE_282973) BOUND_VARIABLE_388464) BOUND_VARIABLE_282975) BOUND_VARIABLE_282976))))) (let ((_let_13478 (forall ((BOUND_VARIABLE_388488 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_282961 tptp.set_o) (BOUND_VARIABLE_282962 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9094 BOUND_VARIABLE_388488) BOUND_VARIABLE_282961) BOUND_VARIABLE_282962) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282962)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_388488) BOUND_VARIABLE_282961))))))) (let ((_let_13479 (forall ((BOUND_VARIABLE_282927 tptp.set_int) (BOUND_VARIABLE_388502 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_282929 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282929)) (ho_8712 (ho_8711 k_8710 (ho_6120 (ho_6163 k_6318 BOUND_VARIABLE_282927) BOUND_VARIABLE_388502)) tptp.bot_bo3957492148770167129t_unit))) (ho_5218 (ho_8850 (ho_8849 k_9095 BOUND_VARIABLE_282927) BOUND_VARIABLE_388502) BOUND_VARIABLE_282929))))) (let ((_let_13480 (forall ((BOUND_VARIABLE_282892 tptp.set_int) (BOUND_VARIABLE_388521 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_282894 tptp.set_Product_unit) (BOUND_VARIABLE_282895 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282895)) (ho_8712 (ho_8711 k_8710 (ho_6120 (ho_6163 k_6319 BOUND_VARIABLE_282892) BOUND_VARIABLE_388521)) BOUND_VARIABLE_282894))) (ho_5218 (ho_8716 (ho_8729 (ho_8852 k_9096 BOUND_VARIABLE_282892) BOUND_VARIABLE_388521) BOUND_VARIABLE_282894) BOUND_VARIABLE_282895))))) (let ((_let_13481 (forall ((BOUND_VARIABLE_388545 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_282880 tptp.set_Product_unit) (BOUND_VARIABLE_282881 tptp.int)) (= (ho_5218 (ho_8716 (ho_8729 k_9097 BOUND_VARIABLE_388545) BOUND_VARIABLE_282880) BOUND_VARIABLE_282881) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282881)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_388545) BOUND_VARIABLE_282880))))))) (let ((_let_13482 (forall ((BOUND_VARIABLE_282869 tptp.set_rat) (BOUND_VARIABLE_388562 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_282871 tptp.nat)) (= (ho_7561 (ho_8856 (ho_8855 k_9098 BOUND_VARIABLE_282869) BOUND_VARIABLE_388562) BOUND_VARIABLE_282871) (ho_7421 (ho_8805 k_8950 BOUND_VARIABLE_282869) (ho_7561 BOUND_VARIABLE_388562 BOUND_VARIABLE_282871)))))) (let ((_let_13483 (forall ((BOUND_VARIABLE_282859 tptp.set_rat) (BOUND_VARIABLE_388576 |u_(-> tptp.nat tptp.set_rat)|) (BOUND_VARIABLE_282861 tptp.nat)) (= (ho_7561 (ho_8856 (ho_8855 k_9099 BOUND_VARIABLE_282859) BOUND_VARIABLE_388576) BOUND_VARIABLE_282861) (ho_7421 (ho_8805 k_8950 BOUND_VARIABLE_282859) (ho_7561 BOUND_VARIABLE_388576 BOUND_VARIABLE_282861)))))) (let ((_let_13484 (forall ((BOUND_VARIABLE_282849 tptp.set_rat) (BOUND_VARIABLE_388590 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_282851 Bool)) (= (ho_7574 (ho_8860 (ho_8859 k_9100 BOUND_VARIABLE_282849) BOUND_VARIABLE_388590) BOUND_VARIABLE_282851) (ho_7421 (ho_8805 k_8950 BOUND_VARIABLE_282849) (ho_7574 BOUND_VARIABLE_388590 BOUND_VARIABLE_282851)))))) (let ((_let_13485 (forall ((BOUND_VARIABLE_282839 tptp.set_rat) (BOUND_VARIABLE_388604 |u_(-> Bool tptp.set_rat)|) (BOUND_VARIABLE_282841 Bool)) (= (ho_7574 (ho_8860 (ho_8859 k_9101 BOUND_VARIABLE_282839) BOUND_VARIABLE_388604) BOUND_VARIABLE_282841) (ho_7421 (ho_8805 k_8950 BOUND_VARIABLE_282839) (ho_7574 BOUND_VARIABLE_388604 BOUND_VARIABLE_282841)))))) (let ((_let_13486 (forall ((BOUND_VARIABLE_282829 tptp.set_rat) (BOUND_VARIABLE_388618 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_282831 tptp.product_unit)) (= (ho_7364 (ho_8864 (ho_8863 k_9102 BOUND_VARIABLE_282829) BOUND_VARIABLE_388618) BOUND_VARIABLE_282831) (ho_7421 (ho_8805 k_8950 BOUND_VARIABLE_282829) (ho_7364 BOUND_VARIABLE_388618 BOUND_VARIABLE_282831)))))) (let ((_let_13487 (forall ((BOUND_VARIABLE_282819 tptp.set_rat) (BOUND_VARIABLE_388632 |u_(-> tptp.product_unit tptp.set_rat)|) (BOUND_VARIABLE_282821 tptp.product_unit)) (= (ho_7364 (ho_8864 (ho_8863 k_9103 BOUND_VARIABLE_282819) BOUND_VARIABLE_388632) BOUND_VARIABLE_282821) (ho_7421 (ho_8805 k_8950 BOUND_VARIABLE_282819) (ho_7364 BOUND_VARIABLE_388632 BOUND_VARIABLE_282821)))))) (let ((_let_13488 (forall ((BOUND_VARIABLE_282809 tptp.set_char) (BOUND_VARIABLE_388646 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_282811 tptp.nat)) (= (ho_8815 (ho_8868 (ho_8867 k_9104 BOUND_VARIABLE_282809) BOUND_VARIABLE_388646) BOUND_VARIABLE_282811) (ho_8821 (ho_8820 k_8954 BOUND_VARIABLE_282809) (ho_8815 BOUND_VARIABLE_388646 BOUND_VARIABLE_282811)))))) (let ((_let_13489 (forall ((BOUND_VARIABLE_282799 tptp.set_char) (BOUND_VARIABLE_388660 |u_(-> tptp.nat tptp.set_char)|) (BOUND_VARIABLE_282801 tptp.nat)) (= (ho_8815 (ho_8868 (ho_8867 k_9105 BOUND_VARIABLE_282799) BOUND_VARIABLE_388660) BOUND_VARIABLE_282801) (ho_8821 (ho_8820 k_8954 BOUND_VARIABLE_282799) (ho_8815 BOUND_VARIABLE_388660 BOUND_VARIABLE_282801)))))) (let ((_let_13490 (forall ((BOUND_VARIABLE_282789 tptp.set_char) (BOUND_VARIABLE_388674 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_282791 Bool)) (= (ho_8823 (ho_8872 (ho_8871 k_9106 BOUND_VARIABLE_282789) BOUND_VARIABLE_388674) BOUND_VARIABLE_282791) (ho_8821 (ho_8820 k_8954 BOUND_VARIABLE_282789) (ho_8823 BOUND_VARIABLE_388674 BOUND_VARIABLE_282791)))))) (let ((_let_13491 (forall ((BOUND_VARIABLE_282779 tptp.set_char) (BOUND_VARIABLE_388688 |u_(-> Bool tptp.set_char)|) (BOUND_VARIABLE_282781 Bool)) (= (ho_8823 (ho_8872 (ho_8871 k_9107 BOUND_VARIABLE_282779) BOUND_VARIABLE_388688) BOUND_VARIABLE_282781) (ho_8821 (ho_8820 k_8954 BOUND_VARIABLE_282779) (ho_8823 BOUND_VARIABLE_388688 BOUND_VARIABLE_282781)))))) (let ((_let_13492 (forall ((BOUND_VARIABLE_282769 tptp.set_char) (BOUND_VARIABLE_388702 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_282771 tptp.product_unit)) (= (ho_8828 (ho_8876 (ho_8875 k_9108 BOUND_VARIABLE_282769) BOUND_VARIABLE_388702) BOUND_VARIABLE_282771) (ho_8821 (ho_8820 k_8954 BOUND_VARIABLE_282769) (ho_8828 BOUND_VARIABLE_388702 BOUND_VARIABLE_282771)))))) (let ((_let_13493 (forall ((BOUND_VARIABLE_282759 tptp.set_char) (BOUND_VARIABLE_388716 |u_(-> tptp.product_unit tptp.set_char)|) (BOUND_VARIABLE_282761 tptp.product_unit)) (= (ho_8828 (ho_8876 (ho_8875 k_9109 BOUND_VARIABLE_282759) BOUND_VARIABLE_388716) BOUND_VARIABLE_282761) (ho_8821 (ho_8820 k_8954 BOUND_VARIABLE_282759) (ho_8828 BOUND_VARIABLE_388716 BOUND_VARIABLE_282761)))))) (let ((_let_13494 (forall ((BOUND_VARIABLE_282725 tptp.set_int) (BOUND_VARIABLE_282726 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_282726)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6320 BOUND_VARIABLE_282725)) BOUND_VARIABLE_282725))) (ho_4599 (ho_4924 k_9110 BOUND_VARIABLE_282725) BOUND_VARIABLE_282726))))) (let ((_let_13495 (forall ((BOUND_VARIABLE_282691 tptp.set_nat) (BOUND_VARIABLE_282692 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_282692)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6321 BOUND_VARIABLE_282691)) BOUND_VARIABLE_282691))) (ho_4575 (ho_4758 k_9111 BOUND_VARIABLE_282691) BOUND_VARIABLE_282692))))) (let ((_let_13496 (forall ((BOUND_VARIABLE_282657 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_282658 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_282658)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6322 BOUND_VARIABLE_282657)) BOUND_VARIABLE_282657))) (ho_4544 (ho_4543 k_9112 BOUND_VARIABLE_282657) BOUND_VARIABLE_282658))))) (let ((_let_13497 (forall ((BOUND_VARIABLE_282629 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_282630 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6323 BOUND_VARIABLE_282630)) BOUND_VARIABLE_282629)) (ho_6325 (ho_9117 k_9116 BOUND_VARIABLE_282629) BOUND_VARIABLE_282630))))) (let ((_let_13498 (forall ((BOUND_VARIABLE_388794 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_282617 tptp.set_int) (BOUND_VARIABLE_282618 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9118 BOUND_VARIABLE_388794) BOUND_VARIABLE_282617) BOUND_VARIABLE_282618) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282618)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_388794) BOUND_VARIABLE_282617))))))) (let ((_let_13499 (forall ((BOUND_VARIABLE_388811 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_282604 tptp.set_nat) (BOUND_VARIABLE_282605 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9119 BOUND_VARIABLE_388811) BOUND_VARIABLE_282604) BOUND_VARIABLE_282605) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282605)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_388811) BOUND_VARIABLE_282604))))))) (let ((_let_13500 (forall ((BOUND_VARIABLE_388828 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_282591 tptp.set_o) (BOUND_VARIABLE_282592 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9120 BOUND_VARIABLE_388828) BOUND_VARIABLE_282591) BOUND_VARIABLE_282592) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282592)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_388828) BOUND_VARIABLE_282591))))))) (let ((_let_13501 (forall ((BOUND_VARIABLE_388845 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_282578 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_282579 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9121 BOUND_VARIABLE_388845) BOUND_VARIABLE_282578) BOUND_VARIABLE_282579) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282579)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_388845) BOUND_VARIABLE_282578))))))) (let ((_let_13502 (forall ((BOUND_VARIABLE_388862 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_282565 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_282566 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9122 BOUND_VARIABLE_388862) BOUND_VARIABLE_282565) BOUND_VARIABLE_282566) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282566)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_388862) BOUND_VARIABLE_282565))))))) (let ((_let_13503 (forall ((BOUND_VARIABLE_388876 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_282540 tptp.nat) (BOUND_VARIABLE_282541 tptp.nat) (BOUND_VARIABLE_282542 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4925 BOUND_VARIABLE_388876 BOUND_VARIABLE_282540)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282542)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282541) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6770 (ho_7529 k_9123 BOUND_VARIABLE_388876) BOUND_VARIABLE_282540) BOUND_VARIABLE_282541) BOUND_VARIABLE_282542)))))) (let ((_let_13504 (forall ((BOUND_VARIABLE_388899 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_282513 tptp.set_nat) (BOUND_VARIABLE_282514 tptp.nat) (BOUND_VARIABLE_282515 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_388899) BOUND_VARIABLE_282513))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282515)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282514) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6900 (ho_6899 k_9124 BOUND_VARIABLE_388899) BOUND_VARIABLE_282513) BOUND_VARIABLE_282514) BOUND_VARIABLE_282515)))))) (let ((_let_13505 (forall ((BOUND_VARIABLE_388924 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_282488 Bool) (BOUND_VARIABLE_282489 tptp.nat) (BOUND_VARIABLE_282490 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6094 BOUND_VARIABLE_388924 BOUND_VARIABLE_282488)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282490)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282489) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7533 (ho_7532 k_9125 BOUND_VARIABLE_388924) BOUND_VARIABLE_282488) BOUND_VARIABLE_282489) BOUND_VARIABLE_282490)))))) (let ((_let_13506 (forall ((BOUND_VARIABLE_388947 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_282461 tptp.set_o) (BOUND_VARIABLE_282462 tptp.nat) (BOUND_VARIABLE_282463 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_388947) BOUND_VARIABLE_282461))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282463)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282462) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6903 (ho_6902 k_9126 BOUND_VARIABLE_388947) BOUND_VARIABLE_282461) BOUND_VARIABLE_282462) BOUND_VARIABLE_282463)))))) (let ((_let_13507 (forall ((BOUND_VARIABLE_388972 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_282436 tptp.product_unit) (BOUND_VARIABLE_282437 tptp.nat) (BOUND_VARIABLE_282438 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6102 BOUND_VARIABLE_388972 BOUND_VARIABLE_282436)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282438)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282437) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_7537 (ho_7536 k_9127 BOUND_VARIABLE_388972) BOUND_VARIABLE_282436) BOUND_VARIABLE_282437) BOUND_VARIABLE_282438)))))) (let ((_let_13508 (forall ((BOUND_VARIABLE_388995 |u_(-> tptp.product_unit tptp.int)|) (BOUND_VARIABLE_282409 tptp.set_Product_unit) (BOUND_VARIABLE_282410 tptp.nat) (BOUND_VARIABLE_282411 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_6108 (ho_6107 k_6106 BOUND_VARIABLE_388995) BOUND_VARIABLE_282409))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282411)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282410) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6894 (ho_6893 k_9128 BOUND_VARIABLE_388995) BOUND_VARIABLE_282409) BOUND_VARIABLE_282410) BOUND_VARIABLE_282411)))))) (let ((_let_13509 (forall ((BOUND_VARIABLE_389020 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_282384 tptp.int) (BOUND_VARIABLE_282385 tptp.nat) (BOUND_VARIABLE_282386 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_4914 BOUND_VARIABLE_389020 BOUND_VARIABLE_282384)))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282386)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282385) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 (ho_7540 k_9129 BOUND_VARIABLE_389020) BOUND_VARIABLE_282384) BOUND_VARIABLE_282385) BOUND_VARIABLE_282386)))))) (let ((_let_13510 (forall ((BOUND_VARIABLE_389043 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_282357 tptp.set_int) (BOUND_VARIABLE_282358 tptp.nat) (BOUND_VARIABLE_282359 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 (ho_6891 k_6890 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_389043) BOUND_VARIABLE_282357))))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282359)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282358) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_6897 (ho_6896 k_9130 BOUND_VARIABLE_389043) BOUND_VARIABLE_282357) BOUND_VARIABLE_282358) BOUND_VARIABLE_282359)))))) (let ((_let_13511 (forall ((BOUND_VARIABLE_282333 tptp.int) (BOUND_VARIABLE_282334 tptp.nat) (BOUND_VARIABLE_282335 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_282333))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282335)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282334) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_9131 BOUND_VARIABLE_282333) BOUND_VARIABLE_282334) BOUND_VARIABLE_282335)))))) (let ((_let_13512 (forall ((BOUND_VARIABLE_282310 tptp.int) (BOUND_VARIABLE_282311 tptp.nat) (BOUND_VARIABLE_282312 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_282310))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282312)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282311) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_9132 BOUND_VARIABLE_282310) BOUND_VARIABLE_282311) BOUND_VARIABLE_282312)))))) (let ((_let_13513 (forall ((BOUND_VARIABLE_282287 tptp.int) (BOUND_VARIABLE_282288 tptp.nat) (BOUND_VARIABLE_282289 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_282287))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282289)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282288) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_9133 BOUND_VARIABLE_282287) BOUND_VARIABLE_282288) BOUND_VARIABLE_282289)))))) (let ((_let_13514 (forall ((BOUND_VARIABLE_282264 tptp.int) (BOUND_VARIABLE_282265 tptp.nat) (BOUND_VARIABLE_282266 tptp.nat)) (let ((_let_1 (ho_5378 k_5424 BOUND_VARIABLE_282264))) (= (ho_4593 (ho_4511 k_4848 (ho_4855 (ho_5457 k_5456 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) BOUND_VARIABLE_282266)) (ho_4855 (ho_5457 k_5456 BOUND_VARIABLE_282265) (ho_5369 k_5368 _let_1))) (ho_4593 (ho_4511 (ho_5493 k_9134 BOUND_VARIABLE_282264) BOUND_VARIABLE_282265) BOUND_VARIABLE_282266)))))) (let ((_let_13515 (forall ((BOUND_VARIABLE_282239 tptp.set_nat) (BOUND_VARIABLE_282240 tptp.set_Product_unit) (BOUND_VARIABLE_282241 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282241)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6329 BOUND_VARIABLE_282239)) BOUND_VARIABLE_282240))) (ho_4593 (ho_5009 (ho_7450 k_9135 BOUND_VARIABLE_282239) BOUND_VARIABLE_282240) BOUND_VARIABLE_282241))))) (let ((_let_13516 (forall ((BOUND_VARIABLE_282233 tptp.int) (BOUND_VARIABLE_282234 tptp.nat)) (= BOUND_VARIABLE_282233 (ho_4925 (ho_7159 k_9136 BOUND_VARIABLE_282233) BOUND_VARIABLE_282234))))) (let ((_let_13517 (forall ((BOUND_VARIABLE_282227 tptp.int) (BOUND_VARIABLE_282228 Bool)) (= BOUND_VARIABLE_282227 (ho_6094 (ho_9138 k_9137 BOUND_VARIABLE_282227) BOUND_VARIABLE_282228))))) (let ((_let_13518 (forall ((BOUND_VARIABLE_282221 tptp.int) (BOUND_VARIABLE_282222 tptp.product_unit)) (= BOUND_VARIABLE_282221 (ho_6102 (ho_9140 k_9139 BOUND_VARIABLE_282221) BOUND_VARIABLE_282222))))) (let ((_let_13519 (forall ((BOUND_VARIABLE_282215 tptp.int) (BOUND_VARIABLE_282216 tptp.int)) (= BOUND_VARIABLE_282215 (ho_4914 (ho_5432 k_9141 BOUND_VARIABLE_282215) BOUND_VARIABLE_282216))))) (let ((_let_13520 (forall ((BOUND_VARIABLE_282209 tptp.nat) (BOUND_VARIABLE_282210 tptp.nat)) (= BOUND_VARIABLE_282209 (ho_4855 (ho_5457 k_9142 BOUND_VARIABLE_282209) BOUND_VARIABLE_282210))))) (let ((_let_13521 (forall ((BOUND_VARIABLE_282203 tptp.nat) (BOUND_VARIABLE_282204 tptp.int)) (= BOUND_VARIABLE_282203 (ho_4891 (ho_7067 k_9143 BOUND_VARIABLE_282203) BOUND_VARIABLE_282204))))) (let ((_let_13522 (forall ((BOUND_VARIABLE_282178 tptp.set_nat) (BOUND_VARIABLE_282179 tptp.set_Product_unit) (BOUND_VARIABLE_282180 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282180)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6330 BOUND_VARIABLE_282178)) BOUND_VARIABLE_282179))) (ho_4593 (ho_5009 (ho_7450 k_9144 BOUND_VARIABLE_282178) BOUND_VARIABLE_282179) BOUND_VARIABLE_282180))))) (let ((_let_13523 (forall ((BOUND_VARIABLE_282172 tptp.int) (BOUND_VARIABLE_282173 tptp.nat)) (= BOUND_VARIABLE_282172 (ho_4925 (ho_7159 k_9145 BOUND_VARIABLE_282172) BOUND_VARIABLE_282173))))) (let ((_let_13524 (forall ((BOUND_VARIABLE_282166 tptp.int) (BOUND_VARIABLE_282167 Bool)) (= BOUND_VARIABLE_282166 (ho_6094 (ho_9138 k_9146 BOUND_VARIABLE_282166) BOUND_VARIABLE_282167))))) (let ((_let_13525 (forall ((BOUND_VARIABLE_282160 tptp.int) (BOUND_VARIABLE_282161 tptp.product_unit)) (= BOUND_VARIABLE_282160 (ho_6102 (ho_9140 k_9147 BOUND_VARIABLE_282160) BOUND_VARIABLE_282161))))) (let ((_let_13526 (forall ((BOUND_VARIABLE_282154 tptp.int) (BOUND_VARIABLE_282155 tptp.int)) (= BOUND_VARIABLE_282154 (ho_4914 (ho_5432 k_9148 BOUND_VARIABLE_282154) BOUND_VARIABLE_282155))))) (let ((_let_13527 (forall ((BOUND_VARIABLE_282148 tptp.nat) (BOUND_VARIABLE_282149 tptp.nat)) (= BOUND_VARIABLE_282148 (ho_4855 (ho_5457 k_9149 BOUND_VARIABLE_282148) BOUND_VARIABLE_282149))))) (let ((_let_13528 (forall ((BOUND_VARIABLE_282142 tptp.nat) (BOUND_VARIABLE_282143 tptp.int)) (= BOUND_VARIABLE_282142 (ho_4891 (ho_7067 k_9150 BOUND_VARIABLE_282142) BOUND_VARIABLE_282143))))) (let ((_let_13529 (forall ((BOUND_VARIABLE_389264 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_282131 tptp.nat)) (= (ho_4593 (ho_5006 k_9151 BOUND_VARIABLE_389264) BOUND_VARIABLE_282131) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282131)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_389264) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13530 (forall ((BOUND_VARIABLE_389277 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_282114 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282114)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_389277) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_8838 k_9152 BOUND_VARIABLE_389277) BOUND_VARIABLE_282114))))) (let ((_let_13531 (forall ((BOUND_VARIABLE_389294 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_282102 tptp.int)) (= (ho_5218 (ho_8844 k_9153 BOUND_VARIABLE_389294) BOUND_VARIABLE_282102) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282102)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_389294) tptp.bot_bot_set_o))))))) (let ((_let_13532 (forall ((BOUND_VARIABLE_389309 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_282090 tptp.int)) (= (ho_5218 (ho_8850 k_9154 BOUND_VARIABLE_389309) BOUND_VARIABLE_282090) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_282090)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_389309) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13533 (forall ((BOUND_VARIABLE_389324 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_282078 tptp.nat)) (= (ho_4593 (ho_5006 k_9155 BOUND_VARIABLE_389324) BOUND_VARIABLE_282078) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282078)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_389324) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13534 (forall ((BOUND_VARIABLE_389337 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_282061 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_282061)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_389337) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_8551 k_9156 BOUND_VARIABLE_389337) BOUND_VARIABLE_282061))))) (let ((_let_13535 (forall ((BOUND_VARIABLE_389354 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_282049 Bool)) (= (ho_5235 (ho_8561 k_9157 BOUND_VARIABLE_389354) BOUND_VARIABLE_282049) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_282049)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_389354) tptp.bot_bot_set_o))))))) (let ((_let_13536 (forall ((BOUND_VARIABLE_389369 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_282037 Bool)) (= (ho_5235 (ho_8571 k_9158 BOUND_VARIABLE_389369) BOUND_VARIABLE_282037) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_282037)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_389369) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13537 (forall ((BOUND_VARIABLE_282012 tptp.set_nat) (BOUND_VARIABLE_282013 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_282013)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6331 BOUND_VARIABLE_282012)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_4762 k_9159 BOUND_VARIABLE_282012) BOUND_VARIABLE_282013))))) (let ((_let_13538 (forall ((BOUND_VARIABLE_281987 tptp.set_nat) (BOUND_VARIABLE_281988 tptp.set_Product_unit) (BOUND_VARIABLE_281989 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281989)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6332 BOUND_VARIABLE_281987)) BOUND_VARIABLE_281988))) (ho_4593 (ho_5009 (ho_7450 k_9160 BOUND_VARIABLE_281987) BOUND_VARIABLE_281988) BOUND_VARIABLE_281989))))) (let ((_let_13539 (forall ((BOUND_VARIABLE_281963 tptp.set_o) (BOUND_VARIABLE_281964 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_281964)) (ho_7479 (ho_7478 k_7477 (ho_6014 k_6333 BOUND_VARIABLE_281963)) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_5234 k_9161 BOUND_VARIABLE_281963) BOUND_VARIABLE_281964))))) (let ((_let_13540 (forall ((BOUND_VARIABLE_281938 tptp.set_o) (BOUND_VARIABLE_281939 tptp.set_nat) (BOUND_VARIABLE_281940 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_281940)) (ho_7479 (ho_7478 k_7477 (ho_6014 k_6334 BOUND_VARIABLE_281938)) BOUND_VARIABLE_281939))) (ho_5235 (ho_7473 (ho_7472 k_9162 BOUND_VARIABLE_281938) BOUND_VARIABLE_281939) BOUND_VARIABLE_281940))))) (let ((_let_13541 (forall ((BOUND_VARIABLE_281932 tptp.set_Product_unit) (BOUND_VARIABLE_281933 tptp.nat)) (= BOUND_VARIABLE_281932 (ho_8512 (ho_8515 k_9163 BOUND_VARIABLE_281932) BOUND_VARIABLE_281933))))) (let ((_let_13542 (forall ((BOUND_VARIABLE_281926 tptp.set_Product_unit) (BOUND_VARIABLE_281927 tptp.nat)) (= BOUND_VARIABLE_281926 (ho_8512 (ho_8515 k_9164 BOUND_VARIABLE_281926) BOUND_VARIABLE_281927))))) (let ((_let_13543 (forall ((BOUND_VARIABLE_281902 tptp.set_o) (BOUND_VARIABLE_281903 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_281903)) (ho_7493 (ho_7492 k_7491 (ho_6021 k_6335 BOUND_VARIABLE_281902)) tptp.bot_bot_set_o))) (ho_5235 (ho_5234 k_9165 BOUND_VARIABLE_281902) BOUND_VARIABLE_281903))))) (let ((_let_13544 (forall ((BOUND_VARIABLE_281877 tptp.set_o) (BOUND_VARIABLE_281878 tptp.set_o) (BOUND_VARIABLE_281879 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_281879)) (ho_7493 (ho_7492 k_7491 (ho_6021 k_6336 BOUND_VARIABLE_281877)) BOUND_VARIABLE_281878))) (ho_5235 (ho_5234 (ho_7487 k_9166 BOUND_VARIABLE_281877) BOUND_VARIABLE_281878) BOUND_VARIABLE_281879))))) (let ((_let_13545 (forall ((BOUND_VARIABLE_281871 tptp.set_Product_unit) (BOUND_VARIABLE_281872 Bool)) (= BOUND_VARIABLE_281871 (ho_6101 (ho_8524 k_9167 BOUND_VARIABLE_281871) BOUND_VARIABLE_281872))))) (let ((_let_13546 (forall ((BOUND_VARIABLE_281865 tptp.set_Product_unit) (BOUND_VARIABLE_281866 Bool)) (= BOUND_VARIABLE_281865 (ho_6101 (ho_8524 k_9168 BOUND_VARIABLE_281865) BOUND_VARIABLE_281866))))) (let ((_let_13547 (forall ((BOUND_VARIABLE_281841 tptp.set_o) (BOUND_VARIABLE_281842 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_281842)) (ho_7507 (ho_7506 k_7505 (ho_6026 k_6337 BOUND_VARIABLE_281841)) tptp.bot_bo3957492148770167129t_unit))) (ho_5235 (ho_5234 k_9169 BOUND_VARIABLE_281841) BOUND_VARIABLE_281842))))) (let ((_let_13548 (forall ((BOUND_VARIABLE_281816 tptp.set_o) (BOUND_VARIABLE_281817 tptp.set_Product_unit) (BOUND_VARIABLE_281818 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_281818)) (ho_7507 (ho_7506 k_7505 (ho_6026 k_6338 BOUND_VARIABLE_281816)) BOUND_VARIABLE_281817))) (ho_5235 (ho_7501 (ho_7500 k_9170 BOUND_VARIABLE_281816) BOUND_VARIABLE_281817) BOUND_VARIABLE_281818))))) (let ((_let_13549 (forall ((BOUND_VARIABLE_281810 tptp.set_Product_unit) (BOUND_VARIABLE_281811 tptp.product_unit)) (= BOUND_VARIABLE_281810 (ho_6114 (ho_8534 k_9171 BOUND_VARIABLE_281810) BOUND_VARIABLE_281811))))) (let ((_let_13550 (forall ((BOUND_VARIABLE_281804 tptp.set_Product_unit) (BOUND_VARIABLE_281805 tptp.product_unit)) (= BOUND_VARIABLE_281804 (ho_6114 (ho_8534 k_9172 BOUND_VARIABLE_281804) BOUND_VARIABLE_281805))))) (let ((_let_13551 (forall ((BOUND_VARIABLE_389546 |u_(-> tptp.product_unit tptp.set_int)|) (BOUND_VARIABLE_281793 tptp.int)) (= (ho_5218 (ho_8850 k_9173 BOUND_VARIABLE_389546) BOUND_VARIABLE_281793) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281793)) (ho_8712 (ho_8711 k_8710 BOUND_VARIABLE_389546) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13552 (forall ((BOUND_VARIABLE_281768 tptp.set_int) (BOUND_VARIABLE_281769 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281769)) (ho_8712 (ho_8711 k_8710 (ho_6152 k_6339 BOUND_VARIABLE_281768)) tptp.bot_bo3957492148770167129t_unit))) (ho_5218 (ho_5229 k_9174 BOUND_VARIABLE_281768) BOUND_VARIABLE_281769))))) (let ((_let_13553 (forall ((BOUND_VARIABLE_281743 tptp.set_int) (BOUND_VARIABLE_281744 tptp.set_Product_unit) (BOUND_VARIABLE_281745 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281745)) (ho_8712 (ho_8711 k_8710 (ho_6152 k_6340 BOUND_VARIABLE_281743)) BOUND_VARIABLE_281744))) (ho_5218 (ho_8716 (ho_8799 k_9175 BOUND_VARIABLE_281743) BOUND_VARIABLE_281744) BOUND_VARIABLE_281745))))) (let ((_let_13554 (forall ((BOUND_VARIABLE_281737 tptp.set_rat) (BOUND_VARIABLE_281738 tptp.nat)) (= BOUND_VARIABLE_281737 (ho_7561 (ho_8803 k_9176 BOUND_VARIABLE_281737) BOUND_VARIABLE_281738))))) (let ((_let_13555 (forall ((BOUND_VARIABLE_281731 tptp.set_rat) (BOUND_VARIABLE_281732 tptp.nat)) (= BOUND_VARIABLE_281731 (ho_7561 (ho_8803 k_9177 BOUND_VARIABLE_281731) BOUND_VARIABLE_281732))))) (let ((_let_13556 (forall ((BOUND_VARIABLE_281725 tptp.set_rat) (BOUND_VARIABLE_281726 Bool)) (= BOUND_VARIABLE_281725 (ho_7574 (ho_8809 k_9178 BOUND_VARIABLE_281725) BOUND_VARIABLE_281726))))) (let ((_let_13557 (forall ((BOUND_VARIABLE_281719 tptp.set_rat) (BOUND_VARIABLE_281720 Bool)) (= BOUND_VARIABLE_281719 (ho_7574 (ho_8809 k_9179 BOUND_VARIABLE_281719) BOUND_VARIABLE_281720))))) (let ((_let_13558 (forall ((BOUND_VARIABLE_281713 tptp.set_rat) (BOUND_VARIABLE_281714 tptp.product_unit)) (= BOUND_VARIABLE_281713 (ho_7364 (ho_8813 k_9180 BOUND_VARIABLE_281713) BOUND_VARIABLE_281714))))) (let ((_let_13559 (forall ((BOUND_VARIABLE_281707 tptp.set_rat) (BOUND_VARIABLE_281708 tptp.product_unit)) (= BOUND_VARIABLE_281707 (ho_7364 (ho_8813 k_9181 BOUND_VARIABLE_281707) BOUND_VARIABLE_281708))))) (let ((_let_13560 (forall ((BOUND_VARIABLE_281701 tptp.set_char) (BOUND_VARIABLE_281702 tptp.nat)) (= BOUND_VARIABLE_281701 (ho_8815 (ho_8818 k_9182 BOUND_VARIABLE_281701) BOUND_VARIABLE_281702))))) (let ((_let_13561 (forall ((BOUND_VARIABLE_281695 tptp.set_char) (BOUND_VARIABLE_281696 tptp.nat)) (= BOUND_VARIABLE_281695 (ho_8815 (ho_8818 k_9183 BOUND_VARIABLE_281695) BOUND_VARIABLE_281696))))) (let ((_let_13562 (forall ((BOUND_VARIABLE_281689 tptp.set_char) (BOUND_VARIABLE_281690 Bool)) (= BOUND_VARIABLE_281689 (ho_8823 (ho_8826 k_9184 BOUND_VARIABLE_281689) BOUND_VARIABLE_281690))))) (let ((_let_13563 (forall ((BOUND_VARIABLE_281683 tptp.set_char) (BOUND_VARIABLE_281684 Bool)) (= BOUND_VARIABLE_281683 (ho_8823 (ho_8826 k_9185 BOUND_VARIABLE_281683) BOUND_VARIABLE_281684))))) (let ((_let_13564 (forall ((BOUND_VARIABLE_281677 tptp.set_char) (BOUND_VARIABLE_281678 tptp.product_unit)) (= BOUND_VARIABLE_281677 (ho_8828 (ho_8831 k_9186 BOUND_VARIABLE_281677) BOUND_VARIABLE_281678))))) (let ((_let_13565 (forall ((BOUND_VARIABLE_281671 tptp.set_char) (BOUND_VARIABLE_281672 tptp.product_unit)) (= BOUND_VARIABLE_281671 (ho_8828 (ho_8831 k_9187 BOUND_VARIABLE_281671) BOUND_VARIABLE_281672))))) (let ((_let_13566 (forall ((BOUND_VARIABLE_389676 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281659 tptp.set_int) (BOUND_VARIABLE_281660 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9188 BOUND_VARIABLE_389676) BOUND_VARIABLE_281659) BOUND_VARIABLE_281660) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281660)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_389676) BOUND_VARIABLE_281659))))))) (let ((_let_13567 (forall ((BOUND_VARIABLE_389693 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281646 tptp.set_int) (BOUND_VARIABLE_281647 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9189 BOUND_VARIABLE_389693) BOUND_VARIABLE_281646) BOUND_VARIABLE_281647) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281647)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_389693) BOUND_VARIABLE_281646))))))) (let ((_let_13568 (forall ((BOUND_VARIABLE_389710 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281633 tptp.set_nat) (BOUND_VARIABLE_281634 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9190 BOUND_VARIABLE_389710) BOUND_VARIABLE_281633) BOUND_VARIABLE_281634) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281634)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_389710) BOUND_VARIABLE_281633))))))) (let ((_let_13569 (forall ((BOUND_VARIABLE_389727 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281620 tptp.set_nat) (BOUND_VARIABLE_281621 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9191 BOUND_VARIABLE_389727) BOUND_VARIABLE_281620) BOUND_VARIABLE_281621) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281621)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_389727) BOUND_VARIABLE_281620))))))) (let ((_let_13570 (forall ((BOUND_VARIABLE_389744 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281607 tptp.set_o) (BOUND_VARIABLE_281608 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9192 BOUND_VARIABLE_389744) BOUND_VARIABLE_281607) BOUND_VARIABLE_281608) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281608)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_389744) BOUND_VARIABLE_281607))))))) (let ((_let_13571 (forall ((BOUND_VARIABLE_389761 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281594 tptp.set_o) (BOUND_VARIABLE_281595 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9193 BOUND_VARIABLE_389761) BOUND_VARIABLE_281594) BOUND_VARIABLE_281595) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281595)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_389761) BOUND_VARIABLE_281594))))))) (let ((_let_13572 (forall ((BOUND_VARIABLE_389778 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281581 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281582 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9194 BOUND_VARIABLE_389778) BOUND_VARIABLE_281581) BOUND_VARIABLE_281582) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281582)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_389778) BOUND_VARIABLE_281581))))))) (let ((_let_13573 (forall ((BOUND_VARIABLE_389795 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281568 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281569 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9195 BOUND_VARIABLE_389795) BOUND_VARIABLE_281568) BOUND_VARIABLE_281569) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281569)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_389795) BOUND_VARIABLE_281568))))))) (let ((_let_13574 (forall ((BOUND_VARIABLE_389812 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_281555 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281556 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9196 BOUND_VARIABLE_389812) BOUND_VARIABLE_281555) BOUND_VARIABLE_281556) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281556)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_389812) BOUND_VARIABLE_281555))))))) (let ((_let_13575 (forall ((BOUND_VARIABLE_389829 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_281542 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281543 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9197 BOUND_VARIABLE_389829) BOUND_VARIABLE_281542) BOUND_VARIABLE_281543) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281543)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_389829) BOUND_VARIABLE_281542))))))) (let ((_let_13576 (forall ((BOUND_VARIABLE_389846 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281529 tptp.set_int) (BOUND_VARIABLE_281530 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9198 BOUND_VARIABLE_389846) BOUND_VARIABLE_281529) BOUND_VARIABLE_281530) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281530)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_389846) BOUND_VARIABLE_281529))))))) (let ((_let_13577 (forall ((BOUND_VARIABLE_389863 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281516 tptp.set_int) (BOUND_VARIABLE_281517 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9199 BOUND_VARIABLE_389863) BOUND_VARIABLE_281516) BOUND_VARIABLE_281517) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281517)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_389863) BOUND_VARIABLE_281516))))))) (let ((_let_13578 (forall ((BOUND_VARIABLE_389880 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281503 tptp.set_nat) (BOUND_VARIABLE_281504 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9200 BOUND_VARIABLE_389880) BOUND_VARIABLE_281503) BOUND_VARIABLE_281504) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281504)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_389880) BOUND_VARIABLE_281503))))))) (let ((_let_13579 (forall ((BOUND_VARIABLE_389897 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281490 tptp.set_nat) (BOUND_VARIABLE_281491 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9201 BOUND_VARIABLE_389897) BOUND_VARIABLE_281490) BOUND_VARIABLE_281491) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281491)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_389897) BOUND_VARIABLE_281490))))))) (let ((_let_13580 (forall ((BOUND_VARIABLE_389914 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281477 tptp.set_o) (BOUND_VARIABLE_281478 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9202 BOUND_VARIABLE_389914) BOUND_VARIABLE_281477) BOUND_VARIABLE_281478) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281478)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_389914) BOUND_VARIABLE_281477))))))) (let ((_let_13581 (forall ((BOUND_VARIABLE_389931 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281464 tptp.set_o) (BOUND_VARIABLE_281465 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9203 BOUND_VARIABLE_389931) BOUND_VARIABLE_281464) BOUND_VARIABLE_281465) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281465)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_389931) BOUND_VARIABLE_281464))))))) (let ((_let_13582 (forall ((BOUND_VARIABLE_389948 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281451 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281452 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9204 BOUND_VARIABLE_389948) BOUND_VARIABLE_281451) BOUND_VARIABLE_281452) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281452)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_389948) BOUND_VARIABLE_281451))))))) (let ((_let_13583 (forall ((BOUND_VARIABLE_389965 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281438 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281439 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9205 BOUND_VARIABLE_389965) BOUND_VARIABLE_281438) BOUND_VARIABLE_281439) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281439)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_389965) BOUND_VARIABLE_281438))))))) (let ((_let_13584 (forall ((BOUND_VARIABLE_389982 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_281425 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281426 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9206 BOUND_VARIABLE_389982) BOUND_VARIABLE_281425) BOUND_VARIABLE_281426) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281426)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_389982) BOUND_VARIABLE_281425))))))) (let ((_let_13585 (forall ((BOUND_VARIABLE_389999 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_281412 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281413 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9207 BOUND_VARIABLE_389999) BOUND_VARIABLE_281412) BOUND_VARIABLE_281413) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281413)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_389999) BOUND_VARIABLE_281412))))))) (let ((_let_13586 (forall ((BOUND_VARIABLE_390016 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281399 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281400 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9208 BOUND_VARIABLE_390016) BOUND_VARIABLE_281399) BOUND_VARIABLE_281400) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281400)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_390016) BOUND_VARIABLE_281399))))))) (let ((_let_13587 (forall ((BOUND_VARIABLE_390033 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281386 tptp.set_nat) (BOUND_VARIABLE_281387 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9209 BOUND_VARIABLE_390033) BOUND_VARIABLE_281386) BOUND_VARIABLE_281387) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281387)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390033) BOUND_VARIABLE_281386))))))) (let ((_let_13588 (forall ((BOUND_VARIABLE_390050 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281373 tptp.set_o) (BOUND_VARIABLE_281374 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9210 BOUND_VARIABLE_390050) BOUND_VARIABLE_281373) BOUND_VARIABLE_281374) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281374)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390050) BOUND_VARIABLE_281373))))))) (let ((_let_13589 (forall ((BOUND_VARIABLE_390067 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_281360 tptp.set_Product_unit) (BOUND_VARIABLE_281361 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9211 BOUND_VARIABLE_390067) BOUND_VARIABLE_281360) BOUND_VARIABLE_281361) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281361)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_390067) BOUND_VARIABLE_281360))))))) (let ((_let_13590 (forall ((BOUND_VARIABLE_390084 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281347 tptp.set_int) (BOUND_VARIABLE_281348 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9212 BOUND_VARIABLE_390084) BOUND_VARIABLE_281347) BOUND_VARIABLE_281348) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281348)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390084) BOUND_VARIABLE_281347))))))) (let ((_let_13591 (forall ((BOUND_VARIABLE_390101 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281334 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281335 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9213 BOUND_VARIABLE_390101) BOUND_VARIABLE_281334) BOUND_VARIABLE_281335) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281335)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_390101) BOUND_VARIABLE_281334))))))) (let ((_let_13592 (forall ((BOUND_VARIABLE_390118 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281321 tptp.set_nat) (BOUND_VARIABLE_281322 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9214 BOUND_VARIABLE_390118) BOUND_VARIABLE_281321) BOUND_VARIABLE_281322) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281322)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390118) BOUND_VARIABLE_281321))))))) (let ((_let_13593 (forall ((BOUND_VARIABLE_390135 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281308 tptp.set_o) (BOUND_VARIABLE_281309 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9215 BOUND_VARIABLE_390135) BOUND_VARIABLE_281308) BOUND_VARIABLE_281309) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281309)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390135) BOUND_VARIABLE_281308))))))) (let ((_let_13594 (forall ((BOUND_VARIABLE_390152 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_281295 tptp.set_Product_unit) (BOUND_VARIABLE_281296 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9216 BOUND_VARIABLE_390152) BOUND_VARIABLE_281295) BOUND_VARIABLE_281296) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281296)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_390152) BOUND_VARIABLE_281295))))))) (let ((_let_13595 (forall ((BOUND_VARIABLE_390169 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281282 tptp.set_int) (BOUND_VARIABLE_281283 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9217 BOUND_VARIABLE_390169) BOUND_VARIABLE_281282) BOUND_VARIABLE_281283) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281283)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390169) BOUND_VARIABLE_281282))))))) (let ((_let_13596 (forall ((BOUND_VARIABLE_390183 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281245 tptp.set_set_nat) (BOUND_VARIABLE_281246 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281246)) (ho_6952 (ho_6951 k_6950 (ho_6342 k_6341 BOUND_VARIABLE_390183)) BOUND_VARIABLE_281245))) (ho_4593 (ho_5067 (ho_9219 k_9218 BOUND_VARIABLE_390183) BOUND_VARIABLE_281245) BOUND_VARIABLE_281246))))) (let ((_let_13597 (forall ((BOUND_VARIABLE_390207 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281215 tptp.set_set_nat) (BOUND_VARIABLE_281216 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281216)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390207) (ho_4845 k_4844 (ho_5067 k_6343 BOUND_VARIABLE_281215))))) (ho_4593 (ho_5067 (ho_9219 k_9220 BOUND_VARIABLE_390207) BOUND_VARIABLE_281215) BOUND_VARIABLE_281216))))) (let ((_let_13598 (forall ((BOUND_VARIABLE_281204 tptp.set_set_nat) (BOUND_VARIABLE_281205 tptp.nat)) (= (ho_4593 (ho_5067 k_9221 BOUND_VARIABLE_281204) BOUND_VARIABLE_281205) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281205)) BOUND_VARIABLE_281204)))))) (let ((_let_13599 (forall ((BOUND_VARIABLE_390238 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_281191 tptp.set_set_nat) (BOUND_VARIABLE_281192 tptp.nat)) (= (ho_4593 (ho_5067 (ho_6998 k_9222 BOUND_VARIABLE_390238) BOUND_VARIABLE_281191) BOUND_VARIABLE_281192) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281192)) (ho_6952 (ho_6951 k_6950 (ho_4857 k_5911 BOUND_VARIABLE_390238)) BOUND_VARIABLE_281191))))))) (let ((_let_13600 (forall ((BOUND_VARIABLE_281180 tptp.set_set_nat) (BOUND_VARIABLE_281181 tptp.nat)) (= (ho_4593 (ho_5067 k_9223 BOUND_VARIABLE_281180) BOUND_VARIABLE_281181) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281181)) BOUND_VARIABLE_281180)))))) (let ((_let_13601 (forall ((BOUND_VARIABLE_390267 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_281167 tptp.set_set_nat) (BOUND_VARIABLE_281168 tptp.int)) (= (ho_5218 (ho_9226 (ho_9225 k_9224 BOUND_VARIABLE_390267) BOUND_VARIABLE_281167) BOUND_VARIABLE_281168) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281168)) (ho_9229 (ho_9228 k_9227 (ho_4930 k_4929 BOUND_VARIABLE_390267)) BOUND_VARIABLE_281167))))))) (let ((_let_13602 (forall ((BOUND_VARIABLE_281156 tptp.set_set_nat) (BOUND_VARIABLE_281157 tptp.nat)) (= (ho_4593 (ho_5067 k_9230 BOUND_VARIABLE_281156) BOUND_VARIABLE_281157) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281157)) BOUND_VARIABLE_281156)))))) (let ((_let_13603 (forall ((BOUND_VARIABLE_281146 tptp.set_set_int) (BOUND_VARIABLE_281147 tptp.int)) (= (ho_5218 (ho_6198 k_9231 BOUND_VARIABLE_281146) BOUND_VARIABLE_281147) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281147)) BOUND_VARIABLE_281146)))))) (let ((_let_13604 (forall ((BOUND_VARIABLE_390322 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_281133 tptp.set_set_int) (BOUND_VARIABLE_281134 tptp.nat)) (= (ho_4593 (ho_9234 (ho_9233 k_9232 BOUND_VARIABLE_390322) BOUND_VARIABLE_281133) BOUND_VARIABLE_281134) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281134)) (ho_9237 (ho_9236 k_9235 (ho_4893 k_4892 BOUND_VARIABLE_390322)) BOUND_VARIABLE_281133))))))) (let ((_let_13605 (forall ((BOUND_VARIABLE_281122 tptp.set_set_int) (BOUND_VARIABLE_281123 tptp.int)) (= (ho_5218 (ho_6198 k_9238 BOUND_VARIABLE_281122) BOUND_VARIABLE_281123) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281123)) BOUND_VARIABLE_281122)))))) (let ((_let_13606 (forall ((BOUND_VARIABLE_390366 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_281109 tptp.set_set_int) (BOUND_VARIABLE_281110 tptp.int)) (= (ho_5218 (ho_6198 (ho_9240 k_9239 BOUND_VARIABLE_390366) BOUND_VARIABLE_281109) BOUND_VARIABLE_281110) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_281110)) (ho_9243 (ho_9242 k_9241 (ho_4916 k_4919 BOUND_VARIABLE_390366)) BOUND_VARIABLE_281109))))))) (let ((_let_13607 (forall ((BOUND_VARIABLE_281089 tptp.set_set_nat)) (= (ho_4845 k_4844 (ho_5067 k_6344 BOUND_VARIABLE_281089)) (ho_9245 k_9244 BOUND_VARIABLE_281089))))) (let ((_let_13608 (forall ((BOUND_VARIABLE_281070 tptp.set_set_int)) (= (ho_5339 k_5338 (ho_6198 k_6345 BOUND_VARIABLE_281070)) (ho_9247 k_9246 BOUND_VARIABLE_281070))))) (let ((_let_13609 (forall ((BOUND_VARIABLE_390416 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_281058 tptp.set_int) (BOUND_VARIABLE_281059 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9248 BOUND_VARIABLE_390416) BOUND_VARIABLE_281058) BOUND_VARIABLE_281059) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281059)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390416) BOUND_VARIABLE_281058))))))) (let ((_let_13610 (forall ((BOUND_VARIABLE_390433 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_281045 tptp.set_nat) (BOUND_VARIABLE_281046 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9249 BOUND_VARIABLE_390433) BOUND_VARIABLE_281045) BOUND_VARIABLE_281046) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281046)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390433) BOUND_VARIABLE_281045))))))) (let ((_let_13611 (forall ((BOUND_VARIABLE_390450 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_281032 tptp.set_o) (BOUND_VARIABLE_281033 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9250 BOUND_VARIABLE_390450) BOUND_VARIABLE_281032) BOUND_VARIABLE_281033) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281033)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390450) BOUND_VARIABLE_281032))))))) (let ((_let_13612 (forall ((BOUND_VARIABLE_390467 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_281019 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281020 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9251 BOUND_VARIABLE_390467) BOUND_VARIABLE_281019) BOUND_VARIABLE_281020) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281020)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_390467) BOUND_VARIABLE_281019))))))) (let ((_let_13613 (forall ((BOUND_VARIABLE_390484 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_281006 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281007 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9252 BOUND_VARIABLE_390484) BOUND_VARIABLE_281006) BOUND_VARIABLE_281007) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_281007)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_390484) BOUND_VARIABLE_281006))))))) (let ((_let_13614 (forall ((BOUND_VARIABLE_390501 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280993 tptp.set_int) (BOUND_VARIABLE_280994 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9253 BOUND_VARIABLE_390501) BOUND_VARIABLE_280993) BOUND_VARIABLE_280994) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280994)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390501) BOUND_VARIABLE_280993))))))) (let ((_let_13615 (forall ((BOUND_VARIABLE_390518 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280980 tptp.set_nat) (BOUND_VARIABLE_280981 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9254 BOUND_VARIABLE_390518) BOUND_VARIABLE_280980) BOUND_VARIABLE_280981) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280981)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390518) BOUND_VARIABLE_280980))))))) (let ((_let_13616 (forall ((BOUND_VARIABLE_390535 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280967 tptp.set_o) (BOUND_VARIABLE_280968 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9255 BOUND_VARIABLE_390535) BOUND_VARIABLE_280967) BOUND_VARIABLE_280968) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280968)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390535) BOUND_VARIABLE_280967))))))) (let ((_let_13617 (forall ((BOUND_VARIABLE_390552 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280954 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280955 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9256 BOUND_VARIABLE_390552) BOUND_VARIABLE_280954) BOUND_VARIABLE_280955) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280955)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_390552) BOUND_VARIABLE_280954))))))) (let ((_let_13618 (forall ((BOUND_VARIABLE_390569 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280941 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280942 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9257 BOUND_VARIABLE_390569) BOUND_VARIABLE_280941) BOUND_VARIABLE_280942) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280942)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_390569) BOUND_VARIABLE_280941))))))) (let ((_let_13619 (forall ((BOUND_VARIABLE_390586 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280928 tptp.set_int) (BOUND_VARIABLE_280929 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9258 BOUND_VARIABLE_390586) BOUND_VARIABLE_280928) BOUND_VARIABLE_280929) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280929)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390586) BOUND_VARIABLE_280928))))))) (let ((_let_13620 (forall ((BOUND_VARIABLE_390603 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280915 tptp.set_int) (BOUND_VARIABLE_280916 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9259 BOUND_VARIABLE_390603) BOUND_VARIABLE_280915) BOUND_VARIABLE_280916) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280916)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390603) BOUND_VARIABLE_280915))))))) (let ((_let_13621 (forall ((BOUND_VARIABLE_390620 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280902 tptp.set_nat) (BOUND_VARIABLE_280903 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9260 BOUND_VARIABLE_390620) BOUND_VARIABLE_280902) BOUND_VARIABLE_280903) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280903)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390620) BOUND_VARIABLE_280902))))))) (let ((_let_13622 (forall ((BOUND_VARIABLE_390637 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280889 tptp.set_nat) (BOUND_VARIABLE_280890 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9261 BOUND_VARIABLE_390637) BOUND_VARIABLE_280889) BOUND_VARIABLE_280890) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280890)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390637) BOUND_VARIABLE_280889))))))) (let ((_let_13623 (forall ((BOUND_VARIABLE_390654 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280876 tptp.set_o) (BOUND_VARIABLE_280877 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9262 BOUND_VARIABLE_390654) BOUND_VARIABLE_280876) BOUND_VARIABLE_280877) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280877)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390654) BOUND_VARIABLE_280876))))))) (let ((_let_13624 (forall ((BOUND_VARIABLE_390671 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280863 tptp.set_o) (BOUND_VARIABLE_280864 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9263 BOUND_VARIABLE_390671) BOUND_VARIABLE_280863) BOUND_VARIABLE_280864) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280864)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390671) BOUND_VARIABLE_280863))))))) (let ((_let_13625 (forall ((BOUND_VARIABLE_390688 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280850 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280851 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9264 BOUND_VARIABLE_390688) BOUND_VARIABLE_280850) BOUND_VARIABLE_280851) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280851)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_390688) BOUND_VARIABLE_280850))))))) (let ((_let_13626 (forall ((BOUND_VARIABLE_390705 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280837 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280838 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9265 BOUND_VARIABLE_390705) BOUND_VARIABLE_280837) BOUND_VARIABLE_280838) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280838)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_390705) BOUND_VARIABLE_280837))))))) (let ((_let_13627 (forall ((BOUND_VARIABLE_390722 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280824 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280825 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9266 BOUND_VARIABLE_390722) BOUND_VARIABLE_280824) BOUND_VARIABLE_280825) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280825)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_390722) BOUND_VARIABLE_280824))))))) (let ((_let_13628 (forall ((BOUND_VARIABLE_390739 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280811 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280812 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9267 BOUND_VARIABLE_390739) BOUND_VARIABLE_280811) BOUND_VARIABLE_280812) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280812)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_390739) BOUND_VARIABLE_280811))))))) (let ((_let_13629 (forall ((BOUND_VARIABLE_390755 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_280799 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7665 k_9268 BOUND_VARIABLE_390755) BOUND_VARIABLE_280799) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_280799)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_390755) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13630 (forall ((BOUND_VARIABLE_390768 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280782 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280782)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390768) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 k_9269 BOUND_VARIABLE_390768) BOUND_VARIABLE_280782))))) (let ((_let_13631 (forall ((BOUND_VARIABLE_390785 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280770 tptp.nat)) (= (ho_4593 (ho_4997 k_9270 BOUND_VARIABLE_390785) BOUND_VARIABLE_280770) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280770)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_390785) tptp.bot_bot_set_o))))))) (let ((_let_13632 (forall ((BOUND_VARIABLE_390800 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_280758 tptp.nat)) (= (ho_4593 (ho_5006 k_9271 BOUND_VARIABLE_390800) BOUND_VARIABLE_280758) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280758)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_390800) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13633 (forall ((BOUND_VARIABLE_390813 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_280741 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_280741)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_390813) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_8551 k_9272 BOUND_VARIABLE_390813) BOUND_VARIABLE_280741))))) (let ((_let_13634 (forall ((BOUND_VARIABLE_390830 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_280729 Bool)) (= (ho_5235 (ho_8561 k_9273 BOUND_VARIABLE_390830) BOUND_VARIABLE_280729) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_280729)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_390830) tptp.bot_bot_set_o))))))) (let ((_let_13635 (forall ((BOUND_VARIABLE_390845 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_280717 Bool)) (= (ho_5235 (ho_8571 k_9274 BOUND_VARIABLE_390845) BOUND_VARIABLE_280717) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_280717)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_390845) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13636 (forall ((BOUND_VARIABLE_390859 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_390858 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_280686 tptp.set_int) (BOUND_VARIABLE_280687 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280687)) (ho_4954 (ho_4953 k_4952 (ho_6348 (ho_6347 k_6346 BOUND_VARIABLE_390859) BOUND_VARIABLE_390858)) BOUND_VARIABLE_280686))) (ho_4593 (ho_5080 (ho_9277 (ho_9276 k_9275 BOUND_VARIABLE_390859) BOUND_VARIABLE_390858) BOUND_VARIABLE_280686) BOUND_VARIABLE_280687))))) (let ((_let_13637 (forall ((BOUND_VARIABLE_390893 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_390892 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_280670 tptp.set_int) (BOUND_VARIABLE_280671 tptp.nat)) (= (ho_4593 (ho_5080 (ho_9277 (ho_9276 k_9278 BOUND_VARIABLE_390893) BOUND_VARIABLE_390892) BOUND_VARIABLE_280670) BOUND_VARIABLE_280671) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280671)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390893) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_390892) BOUND_VARIABLE_280670)))))))) (let ((_let_13638 (forall ((BOUND_VARIABLE_390911 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_390910 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_280638 tptp.set_int) (BOUND_VARIABLE_280639 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280639)) (ho_4954 (ho_4953 k_4952 (ho_6351 (ho_6350 k_6349 BOUND_VARIABLE_390911) BOUND_VARIABLE_390910)) BOUND_VARIABLE_280638))) (ho_4593 (ho_5080 (ho_8274 (ho_9280 k_9279 BOUND_VARIABLE_390911) BOUND_VARIABLE_390910) BOUND_VARIABLE_280638) BOUND_VARIABLE_280639))))) (let ((_let_13639 (forall ((BOUND_VARIABLE_390941 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_390940 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_280622 tptp.set_int) (BOUND_VARIABLE_280623 tptp.nat)) (= (ho_4593 (ho_5080 (ho_8274 (ho_9280 k_9281 BOUND_VARIABLE_390941) BOUND_VARIABLE_390940) BOUND_VARIABLE_280622) BOUND_VARIABLE_280623) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280623)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_390941) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_390940) BOUND_VARIABLE_280622)))))))) (let ((_let_13640 (forall ((BOUND_VARIABLE_390959 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_390958 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_280590 tptp.set_nat) (BOUND_VARIABLE_280591 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280591)) (ho_4765 (ho_4764 k_4763 (ho_6354 (ho_6353 k_6352 BOUND_VARIABLE_390959) BOUND_VARIABLE_390958)) BOUND_VARIABLE_280590))) (ho_4593 (ho_4762 (ho_9284 (ho_9283 k_9282 BOUND_VARIABLE_390959) BOUND_VARIABLE_390958) BOUND_VARIABLE_280590) BOUND_VARIABLE_280591))))) (let ((_let_13641 (forall ((BOUND_VARIABLE_390993 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_390992 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_280574 tptp.set_nat) (BOUND_VARIABLE_280575 tptp.nat)) (= (ho_4593 (ho_4762 (ho_9284 (ho_9283 k_9285 BOUND_VARIABLE_390993) BOUND_VARIABLE_390992) BOUND_VARIABLE_280574) BOUND_VARIABLE_280575) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280575)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_390993) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_390992) BOUND_VARIABLE_280574)))))))) (let ((_let_13642 (forall ((BOUND_VARIABLE_391011 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_391010 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_280542 tptp.set_nat) (BOUND_VARIABLE_280543 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280543)) (ho_4765 (ho_4764 k_4763 (ho_4859 (ho_6356 k_6355 BOUND_VARIABLE_391011) BOUND_VARIABLE_391010)) BOUND_VARIABLE_280542))) (ho_4593 (ho_4762 (ho_5517 (ho_9287 k_9286 BOUND_VARIABLE_391011) BOUND_VARIABLE_391010) BOUND_VARIABLE_280542) BOUND_VARIABLE_280543))))) (let ((_let_13643 (forall ((BOUND_VARIABLE_391041 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_391040 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_280526 tptp.set_nat) (BOUND_VARIABLE_280527 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5517 (ho_9287 k_9288 BOUND_VARIABLE_391041) BOUND_VARIABLE_391040) BOUND_VARIABLE_280526) BOUND_VARIABLE_280527) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280527)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391041) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_391040) BOUND_VARIABLE_280526)))))))) (let ((_let_13644 (forall ((BOUND_VARIABLE_391059 |u_(-> tptp.rat tptp.set_nat)|) (BOUND_VARIABLE_391058 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_280494 tptp.set_nat) (BOUND_VARIABLE_280495 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280495)) (ho_4765 (ho_4764 k_4763 (ho_6361 (ho_6360 k_6359 BOUND_VARIABLE_391059) BOUND_VARIABLE_391058)) BOUND_VARIABLE_280494))) (ho_4593 (ho_4762 (ho_9291 (ho_9290 k_9289 BOUND_VARIABLE_391059) BOUND_VARIABLE_391058) BOUND_VARIABLE_280494) BOUND_VARIABLE_280495))))) (let ((_let_13645 (forall ((BOUND_VARIABLE_391093 |u_(-> tptp.rat tptp.set_nat)|) (BOUND_VARIABLE_391092 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_280478 tptp.set_nat) (BOUND_VARIABLE_280479 tptp.nat)) (= (ho_4593 (ho_4762 (ho_9291 (ho_9290 k_9292 BOUND_VARIABLE_391093) BOUND_VARIABLE_391092) BOUND_VARIABLE_280478) BOUND_VARIABLE_280479) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280479)) (ho_9295 (ho_9294 k_9293 BOUND_VARIABLE_391093) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_391092) BOUND_VARIABLE_280478)))))))) (let ((_let_13646 (forall ((BOUND_VARIABLE_280470 tptp.nat) (BOUND_VARIABLE_280471 Bool)) (= BOUND_VARIABLE_280470 (ho_6840 (ho_7246 k_9296 BOUND_VARIABLE_280470) BOUND_VARIABLE_280471))))) (let ((_let_13647 (forall ((BOUND_VARIABLE_280464 Bool) (BOUND_VARIABLE_280465 tptp.int)) (= BOUND_VARIABLE_280464 (ho_5218 (ho_7302 k_9297 BOUND_VARIABLE_280464) BOUND_VARIABLE_280465))))) (let ((_let_13648 (forall ((BOUND_VARIABLE_280458 Bool) (BOUND_VARIABLE_280459 tptp.nat)) (= BOUND_VARIABLE_280458 (ho_4593 (ho_5004 k_9298 BOUND_VARIABLE_280458) BOUND_VARIABLE_280459))))) (let ((_let_13649 (forall ((BOUND_VARIABLE_280452 Bool) (BOUND_VARIABLE_280453 Bool)) (= BOUND_VARIABLE_280452 (ho_5235 (ho_6701 k_9299 BOUND_VARIABLE_280452) BOUND_VARIABLE_280453))))) (let ((_let_13650 (forall ((BOUND_VARIABLE_280446 tptp.product_unit) (BOUND_VARIABLE_280447 tptp.int)) (= BOUND_VARIABLE_280446 (ho_6916 (ho_9301 k_9300 BOUND_VARIABLE_280446) BOUND_VARIABLE_280447))))) (let ((_let_13651 (forall ((BOUND_VARIABLE_280440 tptp.product_unit) (BOUND_VARIABLE_280441 tptp.nat)) (= BOUND_VARIABLE_280440 (ho_4880 (ho_9303 k_9302 BOUND_VARIABLE_280440) BOUND_VARIABLE_280441))))) (let ((_let_13652 (forall ((BOUND_VARIABLE_280434 tptp.product_unit) (BOUND_VARIABLE_280435 Bool)) (= BOUND_VARIABLE_280434 (ho_6908 (ho_7266 k_9304 BOUND_VARIABLE_280434) BOUND_VARIABLE_280435))))) (let ((_let_13653 (forall ((BOUND_VARIABLE_280428 tptp.int) (BOUND_VARIABLE_280429 tptp.int)) (= BOUND_VARIABLE_280428 (ho_4914 (ho_5432 k_9305 BOUND_VARIABLE_280428) BOUND_VARIABLE_280429))))) (let ((_let_13654 (forall ((BOUND_VARIABLE_280422 tptp.int) (BOUND_VARIABLE_280423 tptp.nat)) (= BOUND_VARIABLE_280422 (ho_4925 (ho_7159 k_9306 BOUND_VARIABLE_280422) BOUND_VARIABLE_280423))))) (let ((_let_13655 (forall ((BOUND_VARIABLE_280416 tptp.rat) (BOUND_VARIABLE_280417 tptp.nat)) (= BOUND_VARIABLE_280416 (ho_6357 (ho_9308 k_9307 BOUND_VARIABLE_280416) BOUND_VARIABLE_280417))))) (let ((_let_13656 (forall ((BOUND_VARIABLE_280410 tptp.int) (BOUND_VARIABLE_280411 tptp.nat)) (= BOUND_VARIABLE_280410 (ho_4925 (ho_7159 k_9309 BOUND_VARIABLE_280410) BOUND_VARIABLE_280411))))) (let ((_let_13657 (forall ((BOUND_VARIABLE_280404 tptp.int) (BOUND_VARIABLE_280405 tptp.nat)) (= BOUND_VARIABLE_280404 (ho_4925 (ho_7159 k_9310 BOUND_VARIABLE_280404) BOUND_VARIABLE_280405))))) (let ((_let_13658 (forall ((BOUND_VARIABLE_280398 tptp.rat) (BOUND_VARIABLE_280399 tptp.nat)) (= BOUND_VARIABLE_280398 (ho_6357 (ho_9308 k_9311 BOUND_VARIABLE_280398) BOUND_VARIABLE_280399))))) (let ((_let_13659 (forall ((BOUND_VARIABLE_280392 tptp.rat) (BOUND_VARIABLE_280393 tptp.nat)) (= BOUND_VARIABLE_280392 (ho_6357 (ho_9308 k_9312 BOUND_VARIABLE_280392) BOUND_VARIABLE_280393))))) (let ((_let_13660 (forall ((BOUND_VARIABLE_280386 tptp.nat) (BOUND_VARIABLE_280387 Bool)) (= BOUND_VARIABLE_280386 (ho_6840 (ho_7246 k_9313 BOUND_VARIABLE_280386) BOUND_VARIABLE_280387))))) (let ((_let_13661 (forall ((BOUND_VARIABLE_280380 tptp.nat) (BOUND_VARIABLE_280381 Bool)) (= BOUND_VARIABLE_280380 (ho_6840 (ho_7246 k_9314 BOUND_VARIABLE_280380) BOUND_VARIABLE_280381))))) (let ((_let_13662 (forall ((BOUND_VARIABLE_280374 Bool) (BOUND_VARIABLE_280375 Bool)) (= BOUND_VARIABLE_280374 (ho_5235 (ho_6701 k_9315 BOUND_VARIABLE_280374) BOUND_VARIABLE_280375))))) (let ((_let_13663 (forall ((BOUND_VARIABLE_280368 Bool) (BOUND_VARIABLE_280369 Bool)) (= BOUND_VARIABLE_280368 (ho_5235 (ho_6701 k_9316 BOUND_VARIABLE_280368) BOUND_VARIABLE_280369))))) (let ((_let_13664 (forall ((BOUND_VARIABLE_280362 tptp.product_unit) (BOUND_VARIABLE_280363 Bool)) (= BOUND_VARIABLE_280362 (ho_6908 (ho_7266 k_9317 BOUND_VARIABLE_280362) BOUND_VARIABLE_280363))))) (let ((_let_13665 (forall ((BOUND_VARIABLE_280356 tptp.product_unit) (BOUND_VARIABLE_280357 Bool)) (= BOUND_VARIABLE_280356 (ho_6908 (ho_7266 k_9318 BOUND_VARIABLE_280356) BOUND_VARIABLE_280357))))) (let ((_let_13666 (forall ((BOUND_VARIABLE_280350 tptp.nat) (BOUND_VARIABLE_280351 tptp.product_unit)) (= BOUND_VARIABLE_280350 (ho_6904 (ho_9320 k_9319 BOUND_VARIABLE_280350) BOUND_VARIABLE_280351))))) (let ((_let_13667 (forall ((BOUND_VARIABLE_280344 tptp.nat) (BOUND_VARIABLE_280345 tptp.product_unit)) (= BOUND_VARIABLE_280344 (ho_6904 (ho_9320 k_9321 BOUND_VARIABLE_280344) BOUND_VARIABLE_280345))))) (let ((_let_13668 (forall ((BOUND_VARIABLE_280338 Bool) (BOUND_VARIABLE_280339 tptp.product_unit)) (= BOUND_VARIABLE_280338 (ho_7262 (ho_9323 k_9322 BOUND_VARIABLE_280338) BOUND_VARIABLE_280339))))) (let ((_let_13669 (forall ((BOUND_VARIABLE_280332 Bool) (BOUND_VARIABLE_280333 tptp.product_unit)) (= BOUND_VARIABLE_280332 (ho_7262 (ho_9323 k_9324 BOUND_VARIABLE_280332) BOUND_VARIABLE_280333))))) (let ((_let_13670 (forall ((BOUND_VARIABLE_280326 tptp.product_unit) (BOUND_VARIABLE_280327 tptp.product_unit)) (= BOUND_VARIABLE_280326 (ho_6912 (ho_7203 k_9325 BOUND_VARIABLE_280326) BOUND_VARIABLE_280327))))) (let ((_let_13671 (forall ((BOUND_VARIABLE_280320 tptp.product_unit) (BOUND_VARIABLE_280321 tptp.product_unit)) (= BOUND_VARIABLE_280320 (ho_6912 (ho_7203 k_9326 BOUND_VARIABLE_280320) BOUND_VARIABLE_280321))))) (let ((_let_13672 (forall ((BOUND_VARIABLE_280314 tptp.nat) (BOUND_VARIABLE_280315 tptp.int)) (= BOUND_VARIABLE_280314 (ho_4891 (ho_7067 k_9327 BOUND_VARIABLE_280314) BOUND_VARIABLE_280315))))) (let ((_let_13673 (forall ((BOUND_VARIABLE_280308 tptp.nat) (BOUND_VARIABLE_280309 tptp.int)) (= BOUND_VARIABLE_280308 (ho_4891 (ho_7067 k_9328 BOUND_VARIABLE_280308) BOUND_VARIABLE_280309))))) (let ((_let_13674 (forall ((BOUND_VARIABLE_280302 tptp.int) (BOUND_VARIABLE_280303 tptp.int)) (= BOUND_VARIABLE_280302 (ho_4914 (ho_5432 k_9329 BOUND_VARIABLE_280302) BOUND_VARIABLE_280303))))) (let ((_let_13675 (forall ((BOUND_VARIABLE_280296 tptp.int) (BOUND_VARIABLE_280297 tptp.int)) (= BOUND_VARIABLE_280296 (ho_4914 (ho_5432 k_9330 BOUND_VARIABLE_280296) BOUND_VARIABLE_280297))))) (let ((_let_13676 (forall ((BOUND_VARIABLE_391346 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280284 tptp.set_int) (BOUND_VARIABLE_280285 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9331 BOUND_VARIABLE_391346) BOUND_VARIABLE_280284) BOUND_VARIABLE_280285) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280285)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391346) BOUND_VARIABLE_280284))))))) (let ((_let_13677 (forall ((BOUND_VARIABLE_391363 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280271 tptp.set_int) (BOUND_VARIABLE_280272 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9332 BOUND_VARIABLE_391363) BOUND_VARIABLE_280271) BOUND_VARIABLE_280272) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280272)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391363) BOUND_VARIABLE_280271))))))) (let ((_let_13678 (forall ((BOUND_VARIABLE_391380 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280258 tptp.set_nat) (BOUND_VARIABLE_280259 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9333 BOUND_VARIABLE_391380) BOUND_VARIABLE_280258) BOUND_VARIABLE_280259) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280259)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391380) BOUND_VARIABLE_280258))))))) (let ((_let_13679 (forall ((BOUND_VARIABLE_391397 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280245 tptp.set_nat) (BOUND_VARIABLE_280246 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9334 BOUND_VARIABLE_391397) BOUND_VARIABLE_280245) BOUND_VARIABLE_280246) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280246)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391397) BOUND_VARIABLE_280245))))))) (let ((_let_13680 (forall ((BOUND_VARIABLE_391414 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280232 tptp.set_o) (BOUND_VARIABLE_280233 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9335 BOUND_VARIABLE_391414) BOUND_VARIABLE_280232) BOUND_VARIABLE_280233) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280233)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_391414) BOUND_VARIABLE_280232))))))) (let ((_let_13681 (forall ((BOUND_VARIABLE_391431 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280219 tptp.set_o) (BOUND_VARIABLE_280220 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9336 BOUND_VARIABLE_391431) BOUND_VARIABLE_280219) BOUND_VARIABLE_280220) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280220)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_391431) BOUND_VARIABLE_280219))))))) (let ((_let_13682 (forall ((BOUND_VARIABLE_391448 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280206 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280207 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9337 BOUND_VARIABLE_391448) BOUND_VARIABLE_280206) BOUND_VARIABLE_280207) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280207)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_391448) BOUND_VARIABLE_280206))))))) (let ((_let_13683 (forall ((BOUND_VARIABLE_391465 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280193 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280194 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9338 BOUND_VARIABLE_391465) BOUND_VARIABLE_280193) BOUND_VARIABLE_280194) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280194)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_391465) BOUND_VARIABLE_280193))))))) (let ((_let_13684 (forall ((BOUND_VARIABLE_391482 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280180 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280181 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9339 BOUND_VARIABLE_391482) BOUND_VARIABLE_280180) BOUND_VARIABLE_280181) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280181)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_391482) BOUND_VARIABLE_280180))))))) (let ((_let_13685 (forall ((BOUND_VARIABLE_391499 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280167 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280168 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9340 BOUND_VARIABLE_391499) BOUND_VARIABLE_280167) BOUND_VARIABLE_280168) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280168)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_391499) BOUND_VARIABLE_280167))))))) (let ((_let_13686 (forall ((BOUND_VARIABLE_391516 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280154 tptp.set_int) (BOUND_VARIABLE_280155 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9341 BOUND_VARIABLE_391516) BOUND_VARIABLE_280154) BOUND_VARIABLE_280155) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280155)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391516) BOUND_VARIABLE_280154))))))) (let ((_let_13687 (forall ((BOUND_VARIABLE_391533 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280141 tptp.set_nat) (BOUND_VARIABLE_280142 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9342 BOUND_VARIABLE_391533) BOUND_VARIABLE_280141) BOUND_VARIABLE_280142) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280142)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391533) BOUND_VARIABLE_280141))))))) (let ((_let_13688 (forall ((BOUND_VARIABLE_391550 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280128 tptp.set_o) (BOUND_VARIABLE_280129 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9343 BOUND_VARIABLE_391550) BOUND_VARIABLE_280128) BOUND_VARIABLE_280129) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280129)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_391550) BOUND_VARIABLE_280128))))))) (let ((_let_13689 (forall ((BOUND_VARIABLE_391567 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280115 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280116 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9344 BOUND_VARIABLE_391567) BOUND_VARIABLE_280115) BOUND_VARIABLE_280116) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280116)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_391567) BOUND_VARIABLE_280115))))))) (let ((_let_13690 (forall ((BOUND_VARIABLE_391584 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280102 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280103 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9345 BOUND_VARIABLE_391584) BOUND_VARIABLE_280102) BOUND_VARIABLE_280103) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280103)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_391584) BOUND_VARIABLE_280102))))))) (let ((_let_13691 (forall ((BOUND_VARIABLE_391601 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_280089 tptp.set_int) (BOUND_VARIABLE_280090 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9346 BOUND_VARIABLE_391601) BOUND_VARIABLE_280089) BOUND_VARIABLE_280090) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280090)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391601) BOUND_VARIABLE_280089))))))) (let ((_let_13692 (forall ((BOUND_VARIABLE_391618 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_280076 tptp.set_nat) (BOUND_VARIABLE_280077 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9347 BOUND_VARIABLE_391618) BOUND_VARIABLE_280076) BOUND_VARIABLE_280077) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280077)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391618) BOUND_VARIABLE_280076))))))) (let ((_let_13693 (forall ((BOUND_VARIABLE_391635 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_280063 tptp.set_o) (BOUND_VARIABLE_280064 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9348 BOUND_VARIABLE_391635) BOUND_VARIABLE_280063) BOUND_VARIABLE_280064) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280064)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_391635) BOUND_VARIABLE_280063))))))) (let ((_let_13694 (forall ((BOUND_VARIABLE_391652 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_280050 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280051 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9349 BOUND_VARIABLE_391652) BOUND_VARIABLE_280050) BOUND_VARIABLE_280051) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280051)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_391652) BOUND_VARIABLE_280050))))))) (let ((_let_13695 (forall ((BOUND_VARIABLE_391669 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_280037 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280038 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9350 BOUND_VARIABLE_391669) BOUND_VARIABLE_280037) BOUND_VARIABLE_280038) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280038)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_391669) BOUND_VARIABLE_280037))))))) (let ((_let_13696 (forall ((BOUND_VARIABLE_391684 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_391683 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_280006 tptp.set_int) (BOUND_VARIABLE_280007 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_280007)) (ho_4954 (ho_4953 k_4952 (ho_6348 (ho_6347 k_6362 BOUND_VARIABLE_391684) BOUND_VARIABLE_391683)) BOUND_VARIABLE_280006))) (ho_4593 (ho_5080 (ho_9277 (ho_9276 k_9351 BOUND_VARIABLE_391684) BOUND_VARIABLE_391683) BOUND_VARIABLE_280006) BOUND_VARIABLE_280007))))) (let ((_let_13697 (forall ((BOUND_VARIABLE_391710 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_391709 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_279990 tptp.set_int) (BOUND_VARIABLE_279991 tptp.nat)) (= (ho_4593 (ho_5080 (ho_9277 (ho_9276 k_9352 BOUND_VARIABLE_391710) BOUND_VARIABLE_391709) BOUND_VARIABLE_279990) BOUND_VARIABLE_279991) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279991)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391710) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_391709) BOUND_VARIABLE_279990)))))))) (let ((_let_13698 (forall ((BOUND_VARIABLE_391728 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_391727 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_279958 tptp.set_int) (BOUND_VARIABLE_279959 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279959)) (ho_4954 (ho_4953 k_4952 (ho_6351 (ho_6350 k_6363 BOUND_VARIABLE_391728) BOUND_VARIABLE_391727)) BOUND_VARIABLE_279958))) (ho_4593 (ho_5080 (ho_8274 (ho_9280 k_9353 BOUND_VARIABLE_391728) BOUND_VARIABLE_391727) BOUND_VARIABLE_279958) BOUND_VARIABLE_279959))))) (let ((_let_13699 (forall ((BOUND_VARIABLE_391754 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_391753 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_279942 tptp.set_int) (BOUND_VARIABLE_279943 tptp.nat)) (= (ho_4593 (ho_5080 (ho_8274 (ho_9280 k_9354 BOUND_VARIABLE_391754) BOUND_VARIABLE_391753) BOUND_VARIABLE_279942) BOUND_VARIABLE_279943) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279943)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391754) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_391753) BOUND_VARIABLE_279942)))))))) (let ((_let_13700 (forall ((BOUND_VARIABLE_391772 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_391771 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_279909 tptp.set_nat) (BOUND_VARIABLE_279910 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279910)) (ho_4765 (ho_4764 k_4763 (ho_6354 (ho_6353 k_6364 BOUND_VARIABLE_391772) BOUND_VARIABLE_391771)) BOUND_VARIABLE_279909))) (ho_4593 (ho_4762 (ho_9284 (ho_9283 k_9355 BOUND_VARIABLE_391772) BOUND_VARIABLE_391771) BOUND_VARIABLE_279909) BOUND_VARIABLE_279910))))) (let ((_let_13701 (forall ((BOUND_VARIABLE_391798 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_391797 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_279893 tptp.set_nat) (BOUND_VARIABLE_279894 tptp.nat)) (= (ho_4593 (ho_4762 (ho_9284 (ho_9283 k_9356 BOUND_VARIABLE_391798) BOUND_VARIABLE_391797) BOUND_VARIABLE_279893) BOUND_VARIABLE_279894) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279894)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391798) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_391797) BOUND_VARIABLE_279893)))))))) (let ((_let_13702 (forall ((BOUND_VARIABLE_391816 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_391815 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_279861 tptp.set_nat) (BOUND_VARIABLE_279862 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279862)) (ho_4765 (ho_4764 k_4763 (ho_4859 (ho_6356 k_6365 BOUND_VARIABLE_391816) BOUND_VARIABLE_391815)) BOUND_VARIABLE_279861))) (ho_4593 (ho_4762 (ho_5517 (ho_9287 k_9357 BOUND_VARIABLE_391816) BOUND_VARIABLE_391815) BOUND_VARIABLE_279861) BOUND_VARIABLE_279862))))) (let ((_let_13703 (forall ((BOUND_VARIABLE_391842 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_391841 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_279845 tptp.set_nat) (BOUND_VARIABLE_279846 tptp.nat)) (= (ho_4593 (ho_4762 (ho_5517 (ho_9287 k_9358 BOUND_VARIABLE_391842) BOUND_VARIABLE_391841) BOUND_VARIABLE_279845) BOUND_VARIABLE_279846) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279846)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391842) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_391841) BOUND_VARIABLE_279845)))))))) (let ((_let_13704 (forall ((BOUND_VARIABLE_391860 |u_(-> tptp.rat tptp.set_nat)|) (BOUND_VARIABLE_391859 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_279812 tptp.set_nat) (BOUND_VARIABLE_279813 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279813)) (ho_4765 (ho_4764 k_4763 (ho_6361 (ho_6360 k_6366 BOUND_VARIABLE_391860) BOUND_VARIABLE_391859)) BOUND_VARIABLE_279812))) (ho_4593 (ho_4762 (ho_9291 (ho_9290 k_9359 BOUND_VARIABLE_391860) BOUND_VARIABLE_391859) BOUND_VARIABLE_279812) BOUND_VARIABLE_279813))))) (let ((_let_13705 (forall ((BOUND_VARIABLE_391886 |u_(-> tptp.rat tptp.set_nat)|) (BOUND_VARIABLE_391885 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_279796 tptp.set_nat) (BOUND_VARIABLE_279797 tptp.nat)) (= (ho_4593 (ho_4762 (ho_9291 (ho_9290 k_9360 BOUND_VARIABLE_391886) BOUND_VARIABLE_391885) BOUND_VARIABLE_279796) BOUND_VARIABLE_279797) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279797)) (ho_9295 (ho_9294 k_9293 BOUND_VARIABLE_391886) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_391885) BOUND_VARIABLE_279796)))))))) (let ((_let_13706 (forall ((BOUND_VARIABLE_391906 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279782 tptp.set_int) (BOUND_VARIABLE_279783 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9361 BOUND_VARIABLE_391906) BOUND_VARIABLE_279782) BOUND_VARIABLE_279783) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279783)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391906) BOUND_VARIABLE_279782))))))) (let ((_let_13707 (forall ((BOUND_VARIABLE_391923 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279769 tptp.set_nat) (BOUND_VARIABLE_279770 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9362 BOUND_VARIABLE_391923) BOUND_VARIABLE_279769) BOUND_VARIABLE_279770) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279770)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_391923) BOUND_VARIABLE_279769))))))) (let ((_let_13708 (forall ((BOUND_VARIABLE_391940 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279756 tptp.set_o) (BOUND_VARIABLE_279757 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9363 BOUND_VARIABLE_391940) BOUND_VARIABLE_279756) BOUND_VARIABLE_279757) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279757)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_391940) BOUND_VARIABLE_279756))))))) (let ((_let_13709 (forall ((BOUND_VARIABLE_391957 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279743 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279744 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9364 BOUND_VARIABLE_391957) BOUND_VARIABLE_279743) BOUND_VARIABLE_279744) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279744)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_391957) BOUND_VARIABLE_279743))))))) (let ((_let_13710 (forall ((BOUND_VARIABLE_391974 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279730 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279731 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9365 BOUND_VARIABLE_391974) BOUND_VARIABLE_279730) BOUND_VARIABLE_279731) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279731)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_391974) BOUND_VARIABLE_279730))))))) (let ((_let_13711 (forall ((BOUND_VARIABLE_391991 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279717 tptp.set_int) (BOUND_VARIABLE_279718 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9366 BOUND_VARIABLE_391991) BOUND_VARIABLE_279717) BOUND_VARIABLE_279718) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279718)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_391991) BOUND_VARIABLE_279717))))))) (let ((_let_13712 (forall ((BOUND_VARIABLE_392008 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279704 tptp.set_nat) (BOUND_VARIABLE_279705 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9367 BOUND_VARIABLE_392008) BOUND_VARIABLE_279704) BOUND_VARIABLE_279705) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279705)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392008) BOUND_VARIABLE_279704))))))) (let ((_let_13713 (forall ((BOUND_VARIABLE_392025 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279691 tptp.set_o) (BOUND_VARIABLE_279692 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9368 BOUND_VARIABLE_392025) BOUND_VARIABLE_279691) BOUND_VARIABLE_279692) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279692)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392025) BOUND_VARIABLE_279691))))))) (let ((_let_13714 (forall ((BOUND_VARIABLE_392042 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279678 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279679 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9369 BOUND_VARIABLE_392042) BOUND_VARIABLE_279678) BOUND_VARIABLE_279679) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279679)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392042) BOUND_VARIABLE_279678))))))) (let ((_let_13715 (forall ((BOUND_VARIABLE_392059 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279665 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279666 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9370 BOUND_VARIABLE_392059) BOUND_VARIABLE_279665) BOUND_VARIABLE_279666) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279666)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392059) BOUND_VARIABLE_279665))))))) (let ((_let_13716 (forall ((BOUND_VARIABLE_392076 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279652 tptp.set_int) (BOUND_VARIABLE_279653 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9371 BOUND_VARIABLE_392076) BOUND_VARIABLE_279652) BOUND_VARIABLE_279653) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279653)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392076) BOUND_VARIABLE_279652))))))) (let ((_let_13717 (forall ((BOUND_VARIABLE_392093 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279639 tptp.set_nat) (BOUND_VARIABLE_279640 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9372 BOUND_VARIABLE_392093) BOUND_VARIABLE_279639) BOUND_VARIABLE_279640) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279640)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392093) BOUND_VARIABLE_279639))))))) (let ((_let_13718 (forall ((BOUND_VARIABLE_392110 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279626 tptp.set_o) (BOUND_VARIABLE_279627 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9373 BOUND_VARIABLE_392110) BOUND_VARIABLE_279626) BOUND_VARIABLE_279627) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279627)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392110) BOUND_VARIABLE_279626))))))) (let ((_let_13719 (forall ((BOUND_VARIABLE_392127 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279613 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279614 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9374 BOUND_VARIABLE_392127) BOUND_VARIABLE_279613) BOUND_VARIABLE_279614) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279614)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392127) BOUND_VARIABLE_279613))))))) (let ((_let_13720 (forall ((BOUND_VARIABLE_392144 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279600 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279601 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9375 BOUND_VARIABLE_392144) BOUND_VARIABLE_279600) BOUND_VARIABLE_279601) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279601)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392144) BOUND_VARIABLE_279600))))))) (let ((_let_13721 (forall ((BOUND_VARIABLE_392161 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279587 tptp.set_int) (BOUND_VARIABLE_279588 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9376 BOUND_VARIABLE_392161) BOUND_VARIABLE_279587) BOUND_VARIABLE_279588) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279588)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392161) BOUND_VARIABLE_279587))))))) (let ((_let_13722 (forall ((BOUND_VARIABLE_392178 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279574 tptp.set_nat) (BOUND_VARIABLE_279575 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9377 BOUND_VARIABLE_392178) BOUND_VARIABLE_279574) BOUND_VARIABLE_279575) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279575)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392178) BOUND_VARIABLE_279574))))))) (let ((_let_13723 (forall ((BOUND_VARIABLE_392195 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279561 tptp.set_o) (BOUND_VARIABLE_279562 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9378 BOUND_VARIABLE_392195) BOUND_VARIABLE_279561) BOUND_VARIABLE_279562) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279562)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392195) BOUND_VARIABLE_279561))))))) (let ((_let_13724 (forall ((BOUND_VARIABLE_392212 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279548 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279549 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9379 BOUND_VARIABLE_392212) BOUND_VARIABLE_279548) BOUND_VARIABLE_279549) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279549)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392212) BOUND_VARIABLE_279548))))))) (let ((_let_13725 (forall ((BOUND_VARIABLE_392229 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279535 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279536 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9380 BOUND_VARIABLE_392229) BOUND_VARIABLE_279535) BOUND_VARIABLE_279536) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279536)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392229) BOUND_VARIABLE_279535))))))) (let ((_let_13726 (forall ((BOUND_VARIABLE_392246 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279522 tptp.set_int) (BOUND_VARIABLE_279523 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9381 BOUND_VARIABLE_392246) BOUND_VARIABLE_279522) BOUND_VARIABLE_279523) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279523)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392246) BOUND_VARIABLE_279522))))))) (let ((_let_13727 (forall ((BOUND_VARIABLE_392263 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279509 tptp.set_nat) (BOUND_VARIABLE_279510 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9382 BOUND_VARIABLE_392263) BOUND_VARIABLE_279509) BOUND_VARIABLE_279510) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279510)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392263) BOUND_VARIABLE_279509))))))) (let ((_let_13728 (forall ((BOUND_VARIABLE_392280 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279496 tptp.set_o) (BOUND_VARIABLE_279497 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9383 BOUND_VARIABLE_392280) BOUND_VARIABLE_279496) BOUND_VARIABLE_279497) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279497)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392280) BOUND_VARIABLE_279496))))))) (let ((_let_13729 (forall ((BOUND_VARIABLE_392297 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279483 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279484 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9384 BOUND_VARIABLE_392297) BOUND_VARIABLE_279483) BOUND_VARIABLE_279484) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279484)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392297) BOUND_VARIABLE_279483))))))) (let ((_let_13730 (forall ((BOUND_VARIABLE_392314 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279470 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279471 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9385 BOUND_VARIABLE_392314) BOUND_VARIABLE_279470) BOUND_VARIABLE_279471) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279471)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392314) BOUND_VARIABLE_279470))))))) (let ((_let_13731 (forall ((BOUND_VARIABLE_392331 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279457 tptp.set_int) (BOUND_VARIABLE_279458 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9386 BOUND_VARIABLE_392331) BOUND_VARIABLE_279457) BOUND_VARIABLE_279458) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279458)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392331) BOUND_VARIABLE_279457))))))) (let ((_let_13732 (forall ((BOUND_VARIABLE_392348 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279444 tptp.set_nat) (BOUND_VARIABLE_279445 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9387 BOUND_VARIABLE_392348) BOUND_VARIABLE_279444) BOUND_VARIABLE_279445) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279445)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392348) BOUND_VARIABLE_279444))))))) (let ((_let_13733 (forall ((BOUND_VARIABLE_392365 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279431 tptp.set_o) (BOUND_VARIABLE_279432 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9388 BOUND_VARIABLE_392365) BOUND_VARIABLE_279431) BOUND_VARIABLE_279432) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279432)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392365) BOUND_VARIABLE_279431))))))) (let ((_let_13734 (forall ((BOUND_VARIABLE_392382 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279418 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279419 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9389 BOUND_VARIABLE_392382) BOUND_VARIABLE_279418) BOUND_VARIABLE_279419) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279419)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392382) BOUND_VARIABLE_279418))))))) (let ((_let_13735 (forall ((BOUND_VARIABLE_392399 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279405 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279406 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9390 BOUND_VARIABLE_392399) BOUND_VARIABLE_279405) BOUND_VARIABLE_279406) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279406)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392399) BOUND_VARIABLE_279405))))))) (let ((_let_13736 (forall ((BOUND_VARIABLE_392416 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279392 tptp.set_int) (BOUND_VARIABLE_279393 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9391 BOUND_VARIABLE_392416) BOUND_VARIABLE_279392) BOUND_VARIABLE_279393) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279393)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392416) BOUND_VARIABLE_279392))))))) (let ((_let_13737 (forall ((BOUND_VARIABLE_392433 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279379 tptp.set_nat) (BOUND_VARIABLE_279380 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9392 BOUND_VARIABLE_392433) BOUND_VARIABLE_279379) BOUND_VARIABLE_279380) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279380)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392433) BOUND_VARIABLE_279379))))))) (let ((_let_13738 (forall ((BOUND_VARIABLE_392450 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279366 tptp.set_o) (BOUND_VARIABLE_279367 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9393 BOUND_VARIABLE_392450) BOUND_VARIABLE_279366) BOUND_VARIABLE_279367) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279367)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392450) BOUND_VARIABLE_279366))))))) (let ((_let_13739 (forall ((BOUND_VARIABLE_392467 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279353 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279354 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9394 BOUND_VARIABLE_392467) BOUND_VARIABLE_279353) BOUND_VARIABLE_279354) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279354)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392467) BOUND_VARIABLE_279353))))))) (let ((_let_13740 (forall ((BOUND_VARIABLE_392484 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279340 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279341 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9395 BOUND_VARIABLE_392484) BOUND_VARIABLE_279340) BOUND_VARIABLE_279341) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279341)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392484) BOUND_VARIABLE_279340))))))) (let ((_let_13741 (forall ((BOUND_VARIABLE_392501 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279327 tptp.set_int) (BOUND_VARIABLE_279328 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9396 BOUND_VARIABLE_392501) BOUND_VARIABLE_279327) BOUND_VARIABLE_279328) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279328)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392501) BOUND_VARIABLE_279327))))))) (let ((_let_13742 (forall ((BOUND_VARIABLE_392518 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279314 tptp.set_nat) (BOUND_VARIABLE_279315 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9397 BOUND_VARIABLE_392518) BOUND_VARIABLE_279314) BOUND_VARIABLE_279315) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279315)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392518) BOUND_VARIABLE_279314))))))) (let ((_let_13743 (forall ((BOUND_VARIABLE_392535 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279301 tptp.set_o) (BOUND_VARIABLE_279302 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9398 BOUND_VARIABLE_392535) BOUND_VARIABLE_279301) BOUND_VARIABLE_279302) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279302)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392535) BOUND_VARIABLE_279301))))))) (let ((_let_13744 (forall ((BOUND_VARIABLE_392552 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279288 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279289 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9399 BOUND_VARIABLE_392552) BOUND_VARIABLE_279288) BOUND_VARIABLE_279289) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279289)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392552) BOUND_VARIABLE_279288))))))) (let ((_let_13745 (forall ((BOUND_VARIABLE_392569 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_279275 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279276 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9400 BOUND_VARIABLE_392569) BOUND_VARIABLE_279275) BOUND_VARIABLE_279276) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279276)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_392569) BOUND_VARIABLE_279275))))))) (let ((_let_13746 (forall ((BOUND_VARIABLE_392587 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_392586 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_279267 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_9401 BOUND_VARIABLE_392587) BOUND_VARIABLE_392586) BOUND_VARIABLE_279267) (ho_4891 BOUND_VARIABLE_392587 (ho_4914 BOUND_VARIABLE_392586 BOUND_VARIABLE_279267)))))) (let ((_let_13747 (forall ((BOUND_VARIABLE_392601 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_392600 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_279258 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_9402 BOUND_VARIABLE_392601) BOUND_VARIABLE_392600) BOUND_VARIABLE_279258) (ho_4855 BOUND_VARIABLE_392601 (ho_4855 BOUND_VARIABLE_392600 BOUND_VARIABLE_279258)))))) (let ((_let_13748 (forall ((BOUND_VARIABLE_392615 |u_(-> Bool Bool)|) (BOUND_VARIABLE_392614 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_279249 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_9403 BOUND_VARIABLE_392615) BOUND_VARIABLE_392614) BOUND_VARIABLE_279249) (ho_5235 BOUND_VARIABLE_392615 (ho_4593 BOUND_VARIABLE_392614 BOUND_VARIABLE_279249)))))) (let ((_let_13749 (forall ((BOUND_VARIABLE_392629 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_392628 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_279240 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_9404 BOUND_VARIABLE_392629) BOUND_VARIABLE_392628) BOUND_VARIABLE_279240) (ho_4891 BOUND_VARIABLE_392629 (ho_4914 BOUND_VARIABLE_392628 BOUND_VARIABLE_279240)))))) (let ((_let_13750 (forall ((BOUND_VARIABLE_392643 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_392642 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_279231 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_9405 BOUND_VARIABLE_392643) BOUND_VARIABLE_392642) BOUND_VARIABLE_279231) (ho_4855 BOUND_VARIABLE_392643 (ho_4855 BOUND_VARIABLE_392642 BOUND_VARIABLE_279231)))))) (let ((_let_13751 (forall ((BOUND_VARIABLE_392657 |u_(-> Bool Bool)|) (BOUND_VARIABLE_392656 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_279222 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_9406 BOUND_VARIABLE_392657) BOUND_VARIABLE_392656) BOUND_VARIABLE_279222) (ho_5235 BOUND_VARIABLE_392657 (ho_4593 BOUND_VARIABLE_392656 BOUND_VARIABLE_279222)))))) (let ((_let_13752 (forall ((BOUND_VARIABLE_392670 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279208 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279209 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9407 BOUND_VARIABLE_392670) BOUND_VARIABLE_279208) BOUND_VARIABLE_279209) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279209)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392670) BOUND_VARIABLE_279208))))))) (let ((_let_13753 (forall ((BOUND_VARIABLE_392687 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279195 tptp.set_nat) (BOUND_VARIABLE_279196 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9408 BOUND_VARIABLE_392687) BOUND_VARIABLE_279195) BOUND_VARIABLE_279196) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279196)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392687) BOUND_VARIABLE_279195))))))) (let ((_let_13754 (forall ((BOUND_VARIABLE_392704 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279182 tptp.set_o) (BOUND_VARIABLE_279183 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9409 BOUND_VARIABLE_392704) BOUND_VARIABLE_279182) BOUND_VARIABLE_279183) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279183)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392704) BOUND_VARIABLE_279182))))))) (let ((_let_13755 (forall ((BOUND_VARIABLE_392721 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_279169 tptp.set_Product_unit) (BOUND_VARIABLE_279170 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9410 BOUND_VARIABLE_392721) BOUND_VARIABLE_279169) BOUND_VARIABLE_279170) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279170)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_392721) BOUND_VARIABLE_279169))))))) (let ((_let_13756 (forall ((BOUND_VARIABLE_392738 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279156 tptp.set_int) (BOUND_VARIABLE_279157 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9411 BOUND_VARIABLE_392738) BOUND_VARIABLE_279156) BOUND_VARIABLE_279157) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279157)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392738) BOUND_VARIABLE_279156))))))) (let ((_let_13757 (forall ((BOUND_VARIABLE_392755 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_279143 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279144 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9412 BOUND_VARIABLE_392755) BOUND_VARIABLE_279143) BOUND_VARIABLE_279144) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279144)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_392755) BOUND_VARIABLE_279143))))))) (let ((_let_13758 (forall ((BOUND_VARIABLE_392772 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_279130 tptp.set_nat) (BOUND_VARIABLE_279131 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9413 BOUND_VARIABLE_392772) BOUND_VARIABLE_279130) BOUND_VARIABLE_279131) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279131)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_392772) BOUND_VARIABLE_279130))))))) (let ((_let_13759 (forall ((BOUND_VARIABLE_392789 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279117 tptp.set_o) (BOUND_VARIABLE_279118 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9414 BOUND_VARIABLE_392789) BOUND_VARIABLE_279117) BOUND_VARIABLE_279118) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279118)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392789) BOUND_VARIABLE_279117))))))) (let ((_let_13760 (forall ((BOUND_VARIABLE_392806 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_279104 tptp.set_Product_unit) (BOUND_VARIABLE_279105 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9415 BOUND_VARIABLE_392806) BOUND_VARIABLE_279104) BOUND_VARIABLE_279105) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279105)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_392806) BOUND_VARIABLE_279104))))))) (let ((_let_13761 (forall ((BOUND_VARIABLE_392823 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_279091 tptp.set_int) (BOUND_VARIABLE_279092 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9416 BOUND_VARIABLE_392823) BOUND_VARIABLE_279091) BOUND_VARIABLE_279092) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279092)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_392823) BOUND_VARIABLE_279091))))))) (let ((_let_13762 (forall ((BOUND_VARIABLE_392840 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279078 tptp.set_o) (BOUND_VARIABLE_279079 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9417 BOUND_VARIABLE_392840) BOUND_VARIABLE_279078) BOUND_VARIABLE_279079) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279079)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392840) BOUND_VARIABLE_279078))))))) (let ((_let_13763 (forall ((BOUND_VARIABLE_392857 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279065 tptp.set_o) (BOUND_VARIABLE_279066 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9418 BOUND_VARIABLE_392857) BOUND_VARIABLE_279065) BOUND_VARIABLE_279066) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279066)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392857) BOUND_VARIABLE_279065))))))) (let ((_let_13764 (forall ((BOUND_VARIABLE_392874 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279052 tptp.set_o) (BOUND_VARIABLE_279053 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9419 BOUND_VARIABLE_392874) BOUND_VARIABLE_279052) BOUND_VARIABLE_279053) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279053)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392874) BOUND_VARIABLE_279052))))))) (let ((_let_13765 (forall ((BOUND_VARIABLE_392891 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_279039 tptp.set_o) (BOUND_VARIABLE_279040 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9420 BOUND_VARIABLE_392891) BOUND_VARIABLE_279039) BOUND_VARIABLE_279040) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279040)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_392891) BOUND_VARIABLE_279039))))))) (let ((_let_13766 (forall ((BOUND_VARIABLE_392905 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_279008 tptp.set_int) (BOUND_VARIABLE_279009 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_279009)) (ho_4954 (ho_4953 k_4952 (ho_6351 k_6367 BOUND_VARIABLE_392905)) BOUND_VARIABLE_279008))) (ho_4593 (ho_5080 (ho_8274 k_9421 BOUND_VARIABLE_392905) BOUND_VARIABLE_279008) BOUND_VARIABLE_279009))))) (let ((_let_13767 (forall ((BOUND_VARIABLE_392923 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_278977 tptp.set_nat) (BOUND_VARIABLE_278978 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278978)) (ho_4765 (ho_4764 k_4763 (ho_4859 k_6368 BOUND_VARIABLE_392923)) BOUND_VARIABLE_278977))) (ho_4593 (ho_4762 (ho_5517 k_9422 BOUND_VARIABLE_392923) BOUND_VARIABLE_278977) BOUND_VARIABLE_278978))))) (let ((_let_13768 (forall ((BOUND_VARIABLE_392941 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_278945 tptp.set_int) (BOUND_VARIABLE_278946 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278946)) (ho_7580 (ho_7579 k_7578 (ho_6370 k_6369 BOUND_VARIABLE_392941)) BOUND_VARIABLE_278945))) (ho_5218 (ho_5229 (ho_9424 k_9423 BOUND_VARIABLE_392941) BOUND_VARIABLE_278945) BOUND_VARIABLE_278946))))) (let ((_let_13769 (forall ((BOUND_VARIABLE_392963 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_278913 tptp.set_nat) (BOUND_VARIABLE_278914 tptp.int)) (= (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278914)) (ho_7553 (ho_7552 k_7551 (ho_6372 k_6371 BOUND_VARIABLE_392963)) BOUND_VARIABLE_278913))) (ho_5218 (ho_7557 (ho_9426 k_9425 BOUND_VARIABLE_392963) BOUND_VARIABLE_278913) BOUND_VARIABLE_278914))))) (let ((_let_13770 (forall ((BOUND_VARIABLE_392987 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_278904 tptp.nat)) (= (ho_7561 (ho_9428 k_9427 BOUND_VARIABLE_392987) BOUND_VARIABLE_278904) (ho_7421 (ho_7420 k_7419 (ho_6357 BOUND_VARIABLE_392987 BOUND_VARIABLE_278904)) tptp.bot_bot_set_rat))))) (let ((_let_13771 (forall ((BOUND_VARIABLE_393004 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_278891 tptp.set_o) (BOUND_VARIABLE_278892 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_9429 BOUND_VARIABLE_393004) BOUND_VARIABLE_278891) BOUND_VARIABLE_278892) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_278892)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_393004) BOUND_VARIABLE_278891))))))) (let ((_let_13772 (forall ((BOUND_VARIABLE_393021 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_278878 tptp.set_int) (BOUND_VARIABLE_278879 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9430 BOUND_VARIABLE_393021) BOUND_VARIABLE_278878) BOUND_VARIABLE_278879) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278879)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_393021) BOUND_VARIABLE_278878))))))) (let ((_let_13773 (forall ((BOUND_VARIABLE_393038 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278865 tptp.set_nat) (BOUND_VARIABLE_278866 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9431 BOUND_VARIABLE_393038) BOUND_VARIABLE_278865) BOUND_VARIABLE_278866) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278866)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_393038) BOUND_VARIABLE_278865))))))) (let ((_let_13774 (forall ((BOUND_VARIABLE_393055 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_278852 tptp.set_o) (BOUND_VARIABLE_278853 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9432 BOUND_VARIABLE_393055) BOUND_VARIABLE_278852) BOUND_VARIABLE_278853) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278853)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_393055) BOUND_VARIABLE_278852))))))) (let ((_let_13775 (forall ((BOUND_VARIABLE_393072 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_278839 tptp.set_int) (BOUND_VARIABLE_278840 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_9433 BOUND_VARIABLE_393072) BOUND_VARIABLE_278839) BOUND_VARIABLE_278840) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278840)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_393072) BOUND_VARIABLE_278839))))))) (let ((_let_13776 (forall ((BOUND_VARIABLE_393089 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_278826 tptp.set_nat) (BOUND_VARIABLE_278827 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9434 BOUND_VARIABLE_393089) BOUND_VARIABLE_278826) BOUND_VARIABLE_278827) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278827)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_393089) BOUND_VARIABLE_278826))))))) (let ((_let_13777 (forall ((BOUND_VARIABLE_393106 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_278813 tptp.set_o) (BOUND_VARIABLE_278814 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9435 BOUND_VARIABLE_393106) BOUND_VARIABLE_278813) BOUND_VARIABLE_278814) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278814)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_393106) BOUND_VARIABLE_278813))))))) (let ((_let_13778 (forall ((BOUND_VARIABLE_393123 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_278800 tptp.set_int) (BOUND_VARIABLE_278801 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9436 BOUND_VARIABLE_393123) BOUND_VARIABLE_278800) BOUND_VARIABLE_278801) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278801)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_393123) BOUND_VARIABLE_278800))))))) (let ((_let_13779 (forall ((BOUND_VARIABLE_393140 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_278787 tptp.set_nat) (BOUND_VARIABLE_278788 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9437 BOUND_VARIABLE_393140) BOUND_VARIABLE_278787) BOUND_VARIABLE_278788) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278788)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_393140) BOUND_VARIABLE_278787))))))) (let ((_let_13780 (forall ((BOUND_VARIABLE_393157 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_278774 tptp.set_o) (BOUND_VARIABLE_278775 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9438 BOUND_VARIABLE_393157) BOUND_VARIABLE_278774) BOUND_VARIABLE_278775) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278775)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_393157) BOUND_VARIABLE_278774))))))) (let ((_let_13781 (forall ((BOUND_VARIABLE_393174 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_278761 tptp.set_o) (BOUND_VARIABLE_278762 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_9439 BOUND_VARIABLE_393174) BOUND_VARIABLE_278761) BOUND_VARIABLE_278762) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_278762)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_393174) BOUND_VARIABLE_278761))))))) (let ((_let_13782 (forall ((BOUND_VARIABLE_393191 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_278748 tptp.set_int) (BOUND_VARIABLE_278749 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9440 BOUND_VARIABLE_393191) BOUND_VARIABLE_278748) BOUND_VARIABLE_278749) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278749)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_393191) BOUND_VARIABLE_278748))))))) (let ((_let_13783 (forall ((BOUND_VARIABLE_393208 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278735 tptp.set_nat) (BOUND_VARIABLE_278736 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9441 BOUND_VARIABLE_393208) BOUND_VARIABLE_278735) BOUND_VARIABLE_278736) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278736)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_393208) BOUND_VARIABLE_278735))))))) (let ((_let_13784 (forall ((BOUND_VARIABLE_393225 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_278722 tptp.set_o) (BOUND_VARIABLE_278723 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9442 BOUND_VARIABLE_393225) BOUND_VARIABLE_278722) BOUND_VARIABLE_278723) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278723)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_393225) BOUND_VARIABLE_278722))))))) (let ((_let_13785 (forall ((BOUND_VARIABLE_393242 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_278709 tptp.set_int) (BOUND_VARIABLE_278710 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_9443 BOUND_VARIABLE_393242) BOUND_VARIABLE_278709) BOUND_VARIABLE_278710) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278710)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_393242) BOUND_VARIABLE_278709))))))) (let ((_let_13786 (forall ((BOUND_VARIABLE_393259 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_278696 tptp.set_nat) (BOUND_VARIABLE_278697 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9444 BOUND_VARIABLE_393259) BOUND_VARIABLE_278696) BOUND_VARIABLE_278697) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278697)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_393259) BOUND_VARIABLE_278696))))))) (let ((_let_13787 (forall ((BOUND_VARIABLE_393276 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_278683 tptp.set_o) (BOUND_VARIABLE_278684 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9445 BOUND_VARIABLE_393276) BOUND_VARIABLE_278683) BOUND_VARIABLE_278684) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278684)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_393276) BOUND_VARIABLE_278683))))))) (let ((_let_13788 (forall ((BOUND_VARIABLE_393293 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_278670 tptp.set_int) (BOUND_VARIABLE_278671 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9446 BOUND_VARIABLE_393293) BOUND_VARIABLE_278670) BOUND_VARIABLE_278671) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278671)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_393293) BOUND_VARIABLE_278670))))))) (let ((_let_13789 (forall ((BOUND_VARIABLE_393310 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_278657 tptp.set_nat) (BOUND_VARIABLE_278658 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9447 BOUND_VARIABLE_393310) BOUND_VARIABLE_278657) BOUND_VARIABLE_278658) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278658)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_393310) BOUND_VARIABLE_278657))))))) (let ((_let_13790 (forall ((BOUND_VARIABLE_393327 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_278644 tptp.set_o) (BOUND_VARIABLE_278645 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9448 BOUND_VARIABLE_393327) BOUND_VARIABLE_278644) BOUND_VARIABLE_278645) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278645)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_393327) BOUND_VARIABLE_278644))))))) (let ((_let_13791 (forall ((BOUND_VARIABLE_393344 |u_(-> Bool tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_278631 tptp.set_o) (BOUND_VARIABLE_278632 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6871 (ho_6870 k_9449 BOUND_VARIABLE_393344) BOUND_VARIABLE_278631) BOUND_VARIABLE_278632) (ho_4540 k_5068 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_278632)) (ho_6874 (ho_6873 k_6872 BOUND_VARIABLE_393344) BOUND_VARIABLE_278631))))))) (let ((_let_13792 (forall ((BOUND_VARIABLE_393361 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_278618 tptp.set_int) (BOUND_VARIABLE_278619 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9450 BOUND_VARIABLE_393361) BOUND_VARIABLE_278618) BOUND_VARIABLE_278619) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278619)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_393361) BOUND_VARIABLE_278618))))))) (let ((_let_13793 (forall ((BOUND_VARIABLE_393378 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278605 tptp.set_nat) (BOUND_VARIABLE_278606 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9451 BOUND_VARIABLE_393378) BOUND_VARIABLE_278605) BOUND_VARIABLE_278606) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278606)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_393378) BOUND_VARIABLE_278605))))))) (let ((_let_13794 (forall ((BOUND_VARIABLE_393395 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_278592 tptp.set_o) (BOUND_VARIABLE_278593 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9452 BOUND_VARIABLE_393395) BOUND_VARIABLE_278592) BOUND_VARIABLE_278593) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278593)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_393395) BOUND_VARIABLE_278592))))))) (let ((_let_13795 (forall ((BOUND_VARIABLE_393412 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_278579 tptp.set_int) (BOUND_VARIABLE_278580 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_9453 BOUND_VARIABLE_393412) BOUND_VARIABLE_278579) BOUND_VARIABLE_278580) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278580)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_393412) BOUND_VARIABLE_278579))))))) (let ((_let_13796 (forall ((BOUND_VARIABLE_393429 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_278566 tptp.set_nat) (BOUND_VARIABLE_278567 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9454 BOUND_VARIABLE_393429) BOUND_VARIABLE_278566) BOUND_VARIABLE_278567) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278567)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_393429) BOUND_VARIABLE_278566))))))) (let ((_let_13797 (forall ((BOUND_VARIABLE_393446 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_278553 tptp.set_o) (BOUND_VARIABLE_278554 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9455 BOUND_VARIABLE_393446) BOUND_VARIABLE_278553) BOUND_VARIABLE_278554) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_278554)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_393446) BOUND_VARIABLE_278553))))))) (let ((_let_13798 (forall ((BOUND_VARIABLE_393463 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_278540 tptp.set_int) (BOUND_VARIABLE_278541 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9456 BOUND_VARIABLE_393463) BOUND_VARIABLE_278540) BOUND_VARIABLE_278541) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278541)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_393463) BOUND_VARIABLE_278540))))))) (let ((_let_13799 (forall ((BOUND_VARIABLE_393480 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_278527 tptp.set_nat) (BOUND_VARIABLE_278528 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9457 BOUND_VARIABLE_393480) BOUND_VARIABLE_278527) BOUND_VARIABLE_278528) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278528)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_393480) BOUND_VARIABLE_278527))))))) (let ((_let_13800 (forall ((BOUND_VARIABLE_393497 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_278514 tptp.set_o) (BOUND_VARIABLE_278515 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9458 BOUND_VARIABLE_393497) BOUND_VARIABLE_278514) BOUND_VARIABLE_278515) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_278515)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_393497) BOUND_VARIABLE_278514))))))) (let ((_let_13801 (forall ((BOUND_VARIABLE_393516 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_393515 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_278498 tptp.int) (BOUND_VARIABLE_278499 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9459 BOUND_VARIABLE_393516) BOUND_VARIABLE_393515) BOUND_VARIABLE_278498) BOUND_VARIABLE_278499) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_393516 BOUND_VARIABLE_278498) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_393515 B4) BOUND_VARIABLE_278499))))))))) (let ((_let_13802 (forall ((BOUND_VARIABLE_393539 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_393538 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_278481 tptp.product_prod_nat_nat) (BOUND_VARIABLE_278482 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9460 BOUND_VARIABLE_393539) BOUND_VARIABLE_393538) BOUND_VARIABLE_278481) BOUND_VARIABLE_278482) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_393539 BOUND_VARIABLE_278481) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_393538 B4) BOUND_VARIABLE_278482))))))))) (let ((_let_13803 (forall ((BOUND_VARIABLE_393560 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278467 tptp.set_nat) (BOUND_VARIABLE_278468 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9461 BOUND_VARIABLE_393560) BOUND_VARIABLE_278467) BOUND_VARIABLE_278468) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278468)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_393560) BOUND_VARIABLE_278467))))))) (let ((_let_13804 (forall ((BOUND_VARIABLE_393577 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278454 tptp.set_nat) (BOUND_VARIABLE_278455 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9462 BOUND_VARIABLE_393577) BOUND_VARIABLE_278454) BOUND_VARIABLE_278455) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278455)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_393577) BOUND_VARIABLE_278454))))))) (let ((_let_13805 (forall ((BOUND_VARIABLE_393594 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_278441 tptp.set_o) (BOUND_VARIABLE_278442 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9463 BOUND_VARIABLE_393594) BOUND_VARIABLE_278441) BOUND_VARIABLE_278442) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278442)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_393594) BOUND_VARIABLE_278441))))))) (let ((_let_13806 (forall ((BOUND_VARIABLE_393611 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_278428 tptp.set_o) (BOUND_VARIABLE_278429 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9464 BOUND_VARIABLE_393611) BOUND_VARIABLE_278428) BOUND_VARIABLE_278429) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278429)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_393611) BOUND_VARIABLE_278428))))))) (let ((_let_13807 (forall ((BOUND_VARIABLE_393628 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_278415 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_278416 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9465 BOUND_VARIABLE_393628) BOUND_VARIABLE_278415) BOUND_VARIABLE_278416) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278416)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_393628) BOUND_VARIABLE_278415))))))) (let ((_let_13808 (forall ((BOUND_VARIABLE_393645 |u_(-> tptp.product_prod_nat_nat tptp.set_nat)|) (BOUND_VARIABLE_278402 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_278403 tptp.nat)) (= (ho_4593 (ho_4986 (ho_4985 k_9466 BOUND_VARIABLE_393645) BOUND_VARIABLE_278402) BOUND_VARIABLE_278403) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278403)) (ho_4981 (ho_4980 k_4979 BOUND_VARIABLE_393645) BOUND_VARIABLE_278402))))))) (let ((_let_13809 (forall ((BOUND_VARIABLE_393662 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_278389 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_278390 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9467 BOUND_VARIABLE_393662) BOUND_VARIABLE_278389) BOUND_VARIABLE_278390) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278390)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_393662) BOUND_VARIABLE_278389))))))) (let ((_let_13810 (forall ((BOUND_VARIABLE_393679 |u_(-> tptp.produc3843707927480180839at_nat tptp.set_nat)|) (BOUND_VARIABLE_278376 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_278377 tptp.nat)) (= (ho_4593 (ho_5107 (ho_5106 k_9468 BOUND_VARIABLE_393679) BOUND_VARIABLE_278376) BOUND_VARIABLE_278377) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278377)) (ho_5110 (ho_5109 k_5108 BOUND_VARIABLE_393679) BOUND_VARIABLE_278376))))))) (let ((_let_13811 (forall ((BOUND_VARIABLE_393696 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_278363 tptp.set_Product_unit) (BOUND_VARIABLE_278364 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9469 BOUND_VARIABLE_393696) BOUND_VARIABLE_278363) BOUND_VARIABLE_278364) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278364)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_393696) BOUND_VARIABLE_278363))))))) (let ((_let_13812 (forall ((BOUND_VARIABLE_393713 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_278350 tptp.set_Product_unit) (BOUND_VARIABLE_278351 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9470 BOUND_VARIABLE_393713) BOUND_VARIABLE_278350) BOUND_VARIABLE_278351) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278351)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_393713) BOUND_VARIABLE_278350))))))) (let ((_let_13813 (forall ((BOUND_VARIABLE_278342 tptp.set_nat)) (= (ho_6412 k_9471 BOUND_VARIABLE_278342) (ho_6973 (ho_9474 k_9473 BOUND_VARIABLE_278342) k_9472))))) (let ((_let_13814 (forall ((BOUND_VARIABLE_278321 tptp.set_nat)) (= (ho_4515 k_4514 (ho_4758 k_6373 BOUND_VARIABLE_278321)) (ho_6412 k_9475 BOUND_VARIABLE_278321))))) (let ((_let_13815 (forall ((BOUND_VARIABLE_393747 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278284 tptp.set_set_nat) (BOUND_VARIABLE_278285 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278285)) (ho_6952 (ho_6951 k_6950 (ho_6342 k_6374 BOUND_VARIABLE_393747)) BOUND_VARIABLE_278284))) (ho_4593 (ho_5067 (ho_9219 k_9476 BOUND_VARIABLE_393747) BOUND_VARIABLE_278284) BOUND_VARIABLE_278285))))) (let ((_let_13816 (forall ((BOUND_VARIABLE_393767 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_278254 tptp.set_set_nat) (BOUND_VARIABLE_278255 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_278255)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_393767) (ho_4845 k_4844 (ho_5067 k_6375 BOUND_VARIABLE_278254))))) (ho_4593 (ho_5067 (ho_9219 k_9477 BOUND_VARIABLE_393767) BOUND_VARIABLE_278254) BOUND_VARIABLE_278255))))) (let ((_let_13817 (forall ((BOUND_VARIABLE_278219 tptp.set_int) (BOUND_VARIABLE_278220 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_278220)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6376 BOUND_VARIABLE_278219)) BOUND_VARIABLE_278219))) (ho_4599 (ho_4924 k_9478 BOUND_VARIABLE_278219) BOUND_VARIABLE_278220))))) (let ((_let_13818 (forall ((BOUND_VARIABLE_278185 tptp.set_nat) (BOUND_VARIABLE_278186 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_278186)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6377 BOUND_VARIABLE_278185)) BOUND_VARIABLE_278185))) (ho_4575 (ho_4758 k_9479 BOUND_VARIABLE_278185) BOUND_VARIABLE_278186))))) (let ((_let_13819 (forall ((BOUND_VARIABLE_278151 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_278152 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_278152)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6378 BOUND_VARIABLE_278151)) BOUND_VARIABLE_278151))) (ho_4544 (ho_4543 k_9480 BOUND_VARIABLE_278151) BOUND_VARIABLE_278152))))) (let ((_let_13820 (forall ((BOUND_VARIABLE_278123 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_278124 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6379 BOUND_VARIABLE_278124)) BOUND_VARIABLE_278123)) (ho_6325 (ho_9117 k_9481 BOUND_VARIABLE_278123) BOUND_VARIABLE_278124))))) (let ((_let_13821 (forall ((BOUND_VARIABLE_278089 tptp.set_int) (BOUND_VARIABLE_278090 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_278090)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6380 BOUND_VARIABLE_278089)) BOUND_VARIABLE_278089))) (ho_4599 (ho_4924 k_9482 BOUND_VARIABLE_278089) BOUND_VARIABLE_278090))))) (let ((_let_13822 (forall ((BOUND_VARIABLE_278055 tptp.set_nat) (BOUND_VARIABLE_278056 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_278056)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6381 BOUND_VARIABLE_278055)) BOUND_VARIABLE_278055))) (ho_4575 (ho_4758 k_9483 BOUND_VARIABLE_278055) BOUND_VARIABLE_278056))))) (let ((_let_13823 (forall ((BOUND_VARIABLE_278021 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_278022 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_278022)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6382 BOUND_VARIABLE_278021)) BOUND_VARIABLE_278021))) (ho_4544 (ho_4543 k_9484 BOUND_VARIABLE_278021) BOUND_VARIABLE_278022))))) (let ((_let_13824 (forall ((BOUND_VARIABLE_277993 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_277994 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6383 BOUND_VARIABLE_277994)) BOUND_VARIABLE_277993)) (ho_6325 (ho_9117 k_9485 BOUND_VARIABLE_277993) BOUND_VARIABLE_277994))))) (let ((_let_13825 (forall ((BOUND_VARIABLE_277959 tptp.set_int) (BOUND_VARIABLE_277960 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_277960)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6384 BOUND_VARIABLE_277959)) BOUND_VARIABLE_277959))) (ho_4599 (ho_4924 k_9486 BOUND_VARIABLE_277959) BOUND_VARIABLE_277960))))) (let ((_let_13826 (forall ((BOUND_VARIABLE_277925 tptp.set_nat) (BOUND_VARIABLE_277926 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277926)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6385 BOUND_VARIABLE_277925)) BOUND_VARIABLE_277925))) (ho_4575 (ho_4758 k_9487 BOUND_VARIABLE_277925) BOUND_VARIABLE_277926))))) (let ((_let_13827 (forall ((BOUND_VARIABLE_277891 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_277892 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_277892)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6386 BOUND_VARIABLE_277891)) BOUND_VARIABLE_277891))) (ho_4544 (ho_4543 k_9488 BOUND_VARIABLE_277891) BOUND_VARIABLE_277892))))) (let ((_let_13828 (forall ((BOUND_VARIABLE_277863 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_277864 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6387 BOUND_VARIABLE_277864)) BOUND_VARIABLE_277863)) (ho_6325 (ho_9117 k_9489 BOUND_VARIABLE_277863) BOUND_VARIABLE_277864))))) (let ((_let_13829 (forall ((BOUND_VARIABLE_393948 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_393947 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_277848 tptp.int) (BOUND_VARIABLE_277849 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9490 BOUND_VARIABLE_393948) BOUND_VARIABLE_393947) BOUND_VARIABLE_277848) BOUND_VARIABLE_277849) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_393948 BOUND_VARIABLE_277848) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_393947 B4) BOUND_VARIABLE_277849))))))))) (let ((_let_13830 (forall ((BOUND_VARIABLE_393971 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_393970 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_277831 tptp.product_prod_nat_nat) (BOUND_VARIABLE_277832 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9491 BOUND_VARIABLE_393971) BOUND_VARIABLE_393970) BOUND_VARIABLE_277831) BOUND_VARIABLE_277832) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_393971 BOUND_VARIABLE_277831) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_393970 B4) BOUND_VARIABLE_277832))))))))) (let ((_let_13831 (forall ((BOUND_VARIABLE_393993 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_393992 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277741 tptp.set_nat) (BOUND_VARIABLE_277742 tptp.set_nat) (BOUND_VARIABLE_277743 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277743)) (ho_4546 (ho_6861 k_6860 (ho_9493 k_9492 (ho_4755 (ho_6389 k_6388 BOUND_VARIABLE_393993) BOUND_VARIABLE_393992))) (ho_4515 k_4514 (ho_4758 (ho_5149 k_6390 BOUND_VARIABLE_277741) BOUND_VARIABLE_277742))))) (ho_4575 (ho_4758 (ho_5149 (ho_8433 (ho_9495 k_9494 BOUND_VARIABLE_393993) BOUND_VARIABLE_393992) BOUND_VARIABLE_277741) BOUND_VARIABLE_277742) BOUND_VARIABLE_277743))))) (let ((_let_13832 (forall ((BOUND_VARIABLE_394030 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277670 tptp.set_nat) (BOUND_VARIABLE_394026 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277672 tptp.set_nat) (BOUND_VARIABLE_277673 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277673)) (ho_4565 (ho_4564 k_4563 (ho_5287 (ho_6392 k_6391 BOUND_VARIABLE_394030) BOUND_VARIABLE_277670)) (ho_4845 k_4844 (ho_4762 (ho_4761 k_6393 BOUND_VARIABLE_394026) BOUND_VARIABLE_277672))))) (ho_4575 (ho_4758 (ho_5290 (ho_9498 (ho_9497 k_9496 BOUND_VARIABLE_394030) BOUND_VARIABLE_277670) BOUND_VARIABLE_394026) BOUND_VARIABLE_277672) BOUND_VARIABLE_277673))))) (let ((_let_13833 (forall ((BOUND_VARIABLE_394063 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_277658 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7665 k_9499 BOUND_VARIABLE_394063) BOUND_VARIABLE_277658) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277658)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_394063) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13834 (forall ((BOUND_VARIABLE_394079 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_277645 tptp.set_Product_unit) (BOUND_VARIABLE_277646 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_9500 BOUND_VARIABLE_394079) BOUND_VARIABLE_277645) BOUND_VARIABLE_277646) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277646)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_394079) BOUND_VARIABLE_277645))))))) (let ((_let_13835 (forall ((BOUND_VARIABLE_277610 tptp.product_prod_nat_nat) (BOUND_VARIABLE_394093 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_277612 tptp.set_Product_unit) (BOUND_VARIABLE_277613 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277613)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_6395 k_6394 BOUND_VARIABLE_277610) BOUND_VARIABLE_394093)) BOUND_VARIABLE_277612))) (ho_4575 (ho_7671 (ho_7670 (ho_9502 k_9501 BOUND_VARIABLE_277610) BOUND_VARIABLE_394093) BOUND_VARIABLE_277612) BOUND_VARIABLE_277613))))) (let ((_let_13836 (forall ((BOUND_VARIABLE_394118 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277594 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277594)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394118) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 k_9503 BOUND_VARIABLE_394118) BOUND_VARIABLE_277594))))) (let ((_let_13837 (forall ((BOUND_VARIABLE_394136 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277581 tptp.set_nat) (BOUND_VARIABLE_277582 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9504 BOUND_VARIABLE_394136) BOUND_VARIABLE_277581) BOUND_VARIABLE_277582) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277582)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394136) BOUND_VARIABLE_277581))))))) (let ((_let_13838 (forall ((BOUND_VARIABLE_277546 tptp.nat) (BOUND_VARIABLE_394150 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277548 tptp.set_nat) (BOUND_VARIABLE_277549 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277549)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_6397 k_6396 BOUND_VARIABLE_277546) BOUND_VARIABLE_394150)) BOUND_VARIABLE_277548))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_9505 BOUND_VARIABLE_277546) BOUND_VARIABLE_394150) BOUND_VARIABLE_277548) BOUND_VARIABLE_277549))))) (let ((_let_13839 (forall ((BOUND_VARIABLE_394173 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277535 tptp.nat)) (= (ho_4593 (ho_4997 k_9506 BOUND_VARIABLE_394173) BOUND_VARIABLE_277535) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277535)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394173) tptp.bot_bot_set_o))))))) (let ((_let_13840 (forall ((BOUND_VARIABLE_394189 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277522 tptp.set_o) (BOUND_VARIABLE_277523 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9507 BOUND_VARIABLE_394189) BOUND_VARIABLE_277522) BOUND_VARIABLE_277523) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277523)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394189) BOUND_VARIABLE_277522))))))) (let ((_let_13841 (forall ((BOUND_VARIABLE_277487 tptp.nat) (BOUND_VARIABLE_394203 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277489 tptp.set_o) (BOUND_VARIABLE_277490 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277490)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_6399 k_6398 BOUND_VARIABLE_277487) BOUND_VARIABLE_394203)) BOUND_VARIABLE_277489))) (ho_4593 (ho_5000 (ho_4999 (ho_9509 k_9508 BOUND_VARIABLE_277487) BOUND_VARIABLE_394203) BOUND_VARIABLE_277489) BOUND_VARIABLE_277490))))) (let ((_let_13842 (forall ((BOUND_VARIABLE_394230 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_277476 tptp.nat)) (= (ho_4593 (ho_5006 k_9510 BOUND_VARIABLE_394230) BOUND_VARIABLE_277476) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277476)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_394230) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13843 (forall ((BOUND_VARIABLE_394246 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_277463 tptp.set_Product_unit) (BOUND_VARIABLE_277464 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9511 BOUND_VARIABLE_394246) BOUND_VARIABLE_277463) BOUND_VARIABLE_277464) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277464)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_394246) BOUND_VARIABLE_277463))))))) (let ((_let_13844 (forall ((BOUND_VARIABLE_277428 tptp.nat) (BOUND_VARIABLE_394260 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_277430 tptp.set_Product_unit) (BOUND_VARIABLE_277431 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277431)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_6401 k_6400 BOUND_VARIABLE_277428) BOUND_VARIABLE_394260)) BOUND_VARIABLE_277430))) (ho_4593 (ho_5009 (ho_5008 (ho_9513 k_9512 BOUND_VARIABLE_277428) BOUND_VARIABLE_394260) BOUND_VARIABLE_277430) BOUND_VARIABLE_277431))))) (let ((_let_13845 (forall ((BOUND_VARIABLE_394285 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_277412 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277412)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_394285) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_8551 k_9514 BOUND_VARIABLE_394285) BOUND_VARIABLE_277412))))) (let ((_let_13846 (forall ((BOUND_VARIABLE_394303 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_277399 tptp.set_nat) (BOUND_VARIABLE_277400 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9515 BOUND_VARIABLE_394303) BOUND_VARIABLE_277399) BOUND_VARIABLE_277400) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277400)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_394303) BOUND_VARIABLE_277399))))))) (let ((_let_13847 (forall ((BOUND_VARIABLE_277364 Bool) (BOUND_VARIABLE_394317 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_277366 tptp.set_nat) (BOUND_VARIABLE_277367 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277367)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6403 k_6402 BOUND_VARIABLE_277364) BOUND_VARIABLE_394317)) BOUND_VARIABLE_277366))) (ho_5235 (ho_7473 (ho_8511 (ho_9517 k_9516 BOUND_VARIABLE_277364) BOUND_VARIABLE_394317) BOUND_VARIABLE_277366) BOUND_VARIABLE_277367))))) (let ((_let_13848 (forall ((BOUND_VARIABLE_277354 tptp.product_unit) (BOUND_VARIABLE_394345 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_277356 tptp.nat)) (= (ho_8512 (ho_8557 (ho_9519 k_9518 BOUND_VARIABLE_277354) BOUND_VARIABLE_394345) BOUND_VARIABLE_277356) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_277354) (ho_8512 BOUND_VARIABLE_394345 BOUND_VARIABLE_277356)))))) (let ((_let_13849 (forall ((BOUND_VARIABLE_394362 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_277343 Bool)) (= (ho_5235 (ho_8561 k_9520 BOUND_VARIABLE_394362) BOUND_VARIABLE_277343) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277343)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_394362) tptp.bot_bot_set_o))))))) (let ((_let_13850 (forall ((BOUND_VARIABLE_394378 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_277330 tptp.set_o) (BOUND_VARIABLE_277331 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9521 BOUND_VARIABLE_394378) BOUND_VARIABLE_277330) BOUND_VARIABLE_277331) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277331)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_394378) BOUND_VARIABLE_277330))))))) (let ((_let_13851 (forall ((BOUND_VARIABLE_277295 Bool) (BOUND_VARIABLE_394392 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_277297 tptp.set_o) (BOUND_VARIABLE_277298 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277298)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6405 k_6404 BOUND_VARIABLE_277295) BOUND_VARIABLE_394392)) BOUND_VARIABLE_277297))) (ho_5235 (ho_5234 (ho_8518 (ho_9523 k_9522 BOUND_VARIABLE_277295) BOUND_VARIABLE_394392) BOUND_VARIABLE_277297) BOUND_VARIABLE_277298))))) (let ((_let_13852 (forall ((BOUND_VARIABLE_277285 tptp.product_unit) (BOUND_VARIABLE_394420 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_277287 Bool)) (= (ho_6101 (ho_8567 (ho_9525 k_9524 BOUND_VARIABLE_277285) BOUND_VARIABLE_394420) BOUND_VARIABLE_277287) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_277285) (ho_6101 BOUND_VARIABLE_394420 BOUND_VARIABLE_277287)))))) (let ((_let_13853 (forall ((BOUND_VARIABLE_394437 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_277274 Bool)) (= (ho_5235 (ho_8571 k_9526 BOUND_VARIABLE_394437) BOUND_VARIABLE_277274) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277274)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_394437) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_13854 (forall ((BOUND_VARIABLE_394453 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_277261 tptp.set_Product_unit) (BOUND_VARIABLE_277262 Bool)) (= (ho_5235 (ho_7501 (ho_8531 k_9527 BOUND_VARIABLE_394453) BOUND_VARIABLE_277261) BOUND_VARIABLE_277262) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277262)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_394453) BOUND_VARIABLE_277261))))))) (let ((_let_13855 (forall ((BOUND_VARIABLE_277226 Bool) (BOUND_VARIABLE_394467 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_277228 tptp.set_Product_unit) (BOUND_VARIABLE_277229 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_277229)) (ho_7507 (ho_7506 k_7505 (ho_6049 (ho_6407 k_6406 BOUND_VARIABLE_277226) BOUND_VARIABLE_394467)) BOUND_VARIABLE_277228))) (ho_5235 (ho_7501 (ho_8531 (ho_9529 k_9528 BOUND_VARIABLE_277226) BOUND_VARIABLE_394467) BOUND_VARIABLE_277228) BOUND_VARIABLE_277229))))) (let ((_let_13856 (forall ((BOUND_VARIABLE_277216 tptp.product_unit) (BOUND_VARIABLE_394495 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_277218 tptp.product_unit)) (= (ho_6114 (ho_8577 (ho_9531 k_9530 BOUND_VARIABLE_277216) BOUND_VARIABLE_394495) BOUND_VARIABLE_277218) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_277216) (ho_6114 BOUND_VARIABLE_394495 BOUND_VARIABLE_277218)))))) (let ((_let_13857 (forall ((BOUND_VARIABLE_394513 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277204 tptp.set_nat) (BOUND_VARIABLE_277205 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9532 BOUND_VARIABLE_394513) BOUND_VARIABLE_277204) BOUND_VARIABLE_277205) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277205)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394513) BOUND_VARIABLE_277204))))))) (let ((_let_13858 (forall ((BOUND_VARIABLE_394530 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277191 tptp.set_nat) (BOUND_VARIABLE_277192 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9533 BOUND_VARIABLE_394530) BOUND_VARIABLE_277191) BOUND_VARIABLE_277192) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277192)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394530) BOUND_VARIABLE_277191))))))) (let ((_let_13859 (forall ((BOUND_VARIABLE_394547 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277178 tptp.set_o) (BOUND_VARIABLE_277179 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9534 BOUND_VARIABLE_394547) BOUND_VARIABLE_277178) BOUND_VARIABLE_277179) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277179)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394547) BOUND_VARIABLE_277178))))))) (let ((_let_13860 (forall ((BOUND_VARIABLE_394564 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277165 tptp.set_o) (BOUND_VARIABLE_277166 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9535 BOUND_VARIABLE_394564) BOUND_VARIABLE_277165) BOUND_VARIABLE_277166) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277166)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394564) BOUND_VARIABLE_277165))))))) (let ((_let_13861 (forall ((BOUND_VARIABLE_394581 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277152 tptp.set_nat) (BOUND_VARIABLE_277153 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9536 BOUND_VARIABLE_394581) BOUND_VARIABLE_277152) BOUND_VARIABLE_277153) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277153)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394581) BOUND_VARIABLE_277152))))))) (let ((_let_13862 (forall ((BOUND_VARIABLE_394598 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277139 tptp.set_nat) (BOUND_VARIABLE_277140 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9537 BOUND_VARIABLE_394598) BOUND_VARIABLE_277139) BOUND_VARIABLE_277140) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277140)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394598) BOUND_VARIABLE_277139))))))) (let ((_let_13863 (forall ((BOUND_VARIABLE_394615 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277126 tptp.set_o) (BOUND_VARIABLE_277127 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9538 BOUND_VARIABLE_394615) BOUND_VARIABLE_277126) BOUND_VARIABLE_277127) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277127)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394615) BOUND_VARIABLE_277126))))))) (let ((_let_13864 (forall ((BOUND_VARIABLE_394632 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_277113 tptp.set_o) (BOUND_VARIABLE_277114 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9539 BOUND_VARIABLE_394632) BOUND_VARIABLE_277113) BOUND_VARIABLE_277114) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_277114)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394632) BOUND_VARIABLE_277113))))))) (let ((_let_13865 (forall ((BOUND_VARIABLE_394648 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277064 tptp.set_set_nat) (BOUND_VARIABLE_277065 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277065)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6408 BOUND_VARIABLE_394648)) (ho_4845 k_4844 (ho_5067 k_6409 BOUND_VARIABLE_277064))))) (ho_4575 (ho_9542 (ho_9541 k_9540 BOUND_VARIABLE_394648) BOUND_VARIABLE_277064) BOUND_VARIABLE_277065))))) (let ((_let_13866 (forall ((BOUND_VARIABLE_394673 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_277012 tptp.set_set_nat) (BOUND_VARIABLE_277013 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_277013)) (ho_9545 (ho_9544 k_9543 (ho_6411 k_6410 BOUND_VARIABLE_394673)) BOUND_VARIABLE_277012))) (ho_4575 (ho_9542 (ho_9541 k_9546 BOUND_VARIABLE_394673) BOUND_VARIABLE_277012) BOUND_VARIABLE_277013))))) (let ((_let_13867 (forall ((BOUND_VARIABLE_277001 tptp.product_unit) (BOUND_VARIABLE_394703 |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|) (BOUND_VARIABLE_277003 tptp.product_prod_nat_nat)) (= (ho_9547 (ho_9550 (ho_9549 k_9548 BOUND_VARIABLE_277001) BOUND_VARIABLE_394703) BOUND_VARIABLE_277003) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_277001) (ho_9547 BOUND_VARIABLE_394703 BOUND_VARIABLE_277003)))))) (let ((_let_13868 (forall ((BOUND_VARIABLE_276967 tptp.nat) (BOUND_VARIABLE_394723 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_276969 tptp.set_int) (BOUND_VARIABLE_276970 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276970)) (ho_4954 (ho_4953 k_4952 (ho_6415 (ho_6414 k_6413 BOUND_VARIABLE_276967) BOUND_VARIABLE_394723)) BOUND_VARIABLE_276969))) (ho_4593 (ho_5080 (ho_5079 (ho_9552 k_9551 BOUND_VARIABLE_276967) BOUND_VARIABLE_394723) BOUND_VARIABLE_276969) BOUND_VARIABLE_276970))))) (let ((_let_13869 (forall ((BOUND_VARIABLE_394751 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_276955 tptp.set_int) (BOUND_VARIABLE_276956 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9553 BOUND_VARIABLE_394751) BOUND_VARIABLE_276955) BOUND_VARIABLE_276956) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276956)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_394751) BOUND_VARIABLE_276955))))))) (let ((_let_13870 (forall ((BOUND_VARIABLE_276920 tptp.nat) (BOUND_VARIABLE_394765 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_276922 tptp.set_nat) (BOUND_VARIABLE_276923 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276923)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_6397 k_6416 BOUND_VARIABLE_276920) BOUND_VARIABLE_394765)) BOUND_VARIABLE_276922))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_9554 BOUND_VARIABLE_276920) BOUND_VARIABLE_394765) BOUND_VARIABLE_276922) BOUND_VARIABLE_276923))))) (let ((_let_13871 (forall ((BOUND_VARIABLE_394789 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_276908 tptp.set_nat) (BOUND_VARIABLE_276909 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9555 BOUND_VARIABLE_394789) BOUND_VARIABLE_276908) BOUND_VARIABLE_276909) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276909)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_394789) BOUND_VARIABLE_276908))))))) (let ((_let_13872 (forall ((BOUND_VARIABLE_276873 tptp.nat) (BOUND_VARIABLE_394803 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_276875 tptp.set_o) (BOUND_VARIABLE_276876 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276876)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_6399 k_6417 BOUND_VARIABLE_276873) BOUND_VARIABLE_394803)) BOUND_VARIABLE_276875))) (ho_4593 (ho_5000 (ho_4999 (ho_9509 k_9556 BOUND_VARIABLE_276873) BOUND_VARIABLE_394803) BOUND_VARIABLE_276875) BOUND_VARIABLE_276876))))) (let ((_let_13873 (forall ((BOUND_VARIABLE_394827 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_276861 tptp.set_o) (BOUND_VARIABLE_276862 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9557 BOUND_VARIABLE_394827) BOUND_VARIABLE_276861) BOUND_VARIABLE_276862) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276862)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_394827) BOUND_VARIABLE_276861))))))) (let ((_let_13874 (forall ((BOUND_VARIABLE_276826 Bool) (BOUND_VARIABLE_394841 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_276828 tptp.set_int) (BOUND_VARIABLE_276829 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276829)) (ho_7523 (ho_7522 k_7521 (ho_6420 (ho_6419 k_6418 BOUND_VARIABLE_276826) BOUND_VARIABLE_394841)) BOUND_VARIABLE_276828))) (ho_5235 (ho_7516 (ho_8738 (ho_9559 k_9558 BOUND_VARIABLE_276826) BOUND_VARIABLE_394841) BOUND_VARIABLE_276828) BOUND_VARIABLE_276829))))) (let ((_let_13875 (forall ((BOUND_VARIABLE_394869 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_276814 tptp.set_int) (BOUND_VARIABLE_276815 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9560 BOUND_VARIABLE_394869) BOUND_VARIABLE_276814) BOUND_VARIABLE_276815) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276815)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_394869) BOUND_VARIABLE_276814))))))) (let ((_let_13876 (forall ((BOUND_VARIABLE_276803 tptp.product_unit) (BOUND_VARIABLE_394886 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_276805 tptp.int)) (= (ho_6125 (ho_9563 (ho_9562 k_9561 BOUND_VARIABLE_276803) BOUND_VARIABLE_394886) BOUND_VARIABLE_276805) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276803) (ho_6125 BOUND_VARIABLE_394886 BOUND_VARIABLE_276805)))))) (let ((_let_13877 (forall ((BOUND_VARIABLE_276769 Bool) (BOUND_VARIABLE_394904 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_276771 tptp.set_nat) (BOUND_VARIABLE_276772 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276772)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6403 k_6421 BOUND_VARIABLE_276769) BOUND_VARIABLE_394904)) BOUND_VARIABLE_276771))) (ho_5235 (ho_7473 (ho_8511 (ho_9517 k_9564 BOUND_VARIABLE_276769) BOUND_VARIABLE_394904) BOUND_VARIABLE_276771) BOUND_VARIABLE_276772))))) (let ((_let_13878 (forall ((BOUND_VARIABLE_394928 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_276757 tptp.set_nat) (BOUND_VARIABLE_276758 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9565 BOUND_VARIABLE_394928) BOUND_VARIABLE_276757) BOUND_VARIABLE_276758) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276758)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_394928) BOUND_VARIABLE_276757))))))) (let ((_let_13879 (forall ((BOUND_VARIABLE_276746 tptp.product_unit) (BOUND_VARIABLE_394945 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_276748 tptp.nat)) (= (ho_8512 (ho_8557 (ho_9519 k_9566 BOUND_VARIABLE_276746) BOUND_VARIABLE_394945) BOUND_VARIABLE_276748) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276746) (ho_8512 BOUND_VARIABLE_394945 BOUND_VARIABLE_276748)))))) (let ((_let_13880 (forall ((BOUND_VARIABLE_276712 Bool) (BOUND_VARIABLE_394956 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_276714 tptp.set_o) (BOUND_VARIABLE_276715 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276715)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6405 k_6422 BOUND_VARIABLE_276712) BOUND_VARIABLE_394956)) BOUND_VARIABLE_276714))) (ho_5235 (ho_5234 (ho_8518 (ho_9523 k_9567 BOUND_VARIABLE_276712) BOUND_VARIABLE_394956) BOUND_VARIABLE_276714) BOUND_VARIABLE_276715))))) (let ((_let_13881 (forall ((BOUND_VARIABLE_394980 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_276700 tptp.set_o) (BOUND_VARIABLE_276701 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9568 BOUND_VARIABLE_394980) BOUND_VARIABLE_276700) BOUND_VARIABLE_276701) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276701)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_394980) BOUND_VARIABLE_276700))))))) (let ((_let_13882 (forall ((BOUND_VARIABLE_276689 tptp.product_unit) (BOUND_VARIABLE_394997 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_276691 Bool)) (= (ho_6101 (ho_8567 (ho_9525 k_9569 BOUND_VARIABLE_276689) BOUND_VARIABLE_394997) BOUND_VARIABLE_276691) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276689) (ho_6101 BOUND_VARIABLE_394997 BOUND_VARIABLE_276691)))))) (let ((_let_13883 (forall ((BOUND_VARIABLE_276679 tptp.product_unit) (BOUND_VARIABLE_395011 |u_(-> tptp.product_prod_nat_nat tptp.set_Product_unit)|) (BOUND_VARIABLE_276681 tptp.product_prod_nat_nat)) (= (ho_9547 (ho_9550 (ho_9549 k_9570 BOUND_VARIABLE_276679) BOUND_VARIABLE_395011) BOUND_VARIABLE_276681) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276679) (ho_9547 BOUND_VARIABLE_395011 BOUND_VARIABLE_276681)))))) (let ((_let_13884 (forall ((BOUND_VARIABLE_276644 tptp.nat) (BOUND_VARIABLE_395022 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_276646 tptp.set_int) (BOUND_VARIABLE_276647 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276647)) (ho_4954 (ho_4953 k_4952 (ho_6415 (ho_6414 k_6423 BOUND_VARIABLE_276644) BOUND_VARIABLE_395022)) BOUND_VARIABLE_276646))) (ho_4593 (ho_5080 (ho_5079 (ho_9552 k_9571 BOUND_VARIABLE_276644) BOUND_VARIABLE_395022) BOUND_VARIABLE_276646) BOUND_VARIABLE_276647))))) (let ((_let_13885 (forall ((BOUND_VARIABLE_395046 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_276632 tptp.set_int) (BOUND_VARIABLE_276633 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9572 BOUND_VARIABLE_395046) BOUND_VARIABLE_276632) BOUND_VARIABLE_276633) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276633)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_395046) BOUND_VARIABLE_276632))))))) (let ((_let_13886 (forall ((BOUND_VARIABLE_276597 tptp.nat) (BOUND_VARIABLE_395060 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_276599 tptp.set_nat) (BOUND_VARIABLE_276600 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276600)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_6397 k_6424 BOUND_VARIABLE_276597) BOUND_VARIABLE_395060)) BOUND_VARIABLE_276599))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_9573 BOUND_VARIABLE_276597) BOUND_VARIABLE_395060) BOUND_VARIABLE_276599) BOUND_VARIABLE_276600))))) (let ((_let_13887 (forall ((BOUND_VARIABLE_395084 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_276585 tptp.set_nat) (BOUND_VARIABLE_276586 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9574 BOUND_VARIABLE_395084) BOUND_VARIABLE_276585) BOUND_VARIABLE_276586) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276586)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_395084) BOUND_VARIABLE_276585))))))) (let ((_let_13888 (forall ((BOUND_VARIABLE_276550 tptp.nat) (BOUND_VARIABLE_395098 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_276552 tptp.set_o) (BOUND_VARIABLE_276553 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276553)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_6399 k_6425 BOUND_VARIABLE_276550) BOUND_VARIABLE_395098)) BOUND_VARIABLE_276552))) (ho_4593 (ho_5000 (ho_4999 (ho_9509 k_9575 BOUND_VARIABLE_276550) BOUND_VARIABLE_395098) BOUND_VARIABLE_276552) BOUND_VARIABLE_276553))))) (let ((_let_13889 (forall ((BOUND_VARIABLE_395122 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_276538 tptp.set_o) (BOUND_VARIABLE_276539 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9576 BOUND_VARIABLE_395122) BOUND_VARIABLE_276538) BOUND_VARIABLE_276539) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276539)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_395122) BOUND_VARIABLE_276538))))))) (let ((_let_13890 (forall ((BOUND_VARIABLE_276502 Bool) (BOUND_VARIABLE_395136 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_276504 tptp.set_int) (BOUND_VARIABLE_276505 Bool)) (= (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276505)) (ho_7523 (ho_7522 k_7521 (ho_6420 (ho_6419 k_6426 BOUND_VARIABLE_276502) BOUND_VARIABLE_395136)) BOUND_VARIABLE_276504))) (ho_5235 (ho_7516 (ho_8738 (ho_9559 k_9577 BOUND_VARIABLE_276502) BOUND_VARIABLE_395136) BOUND_VARIABLE_276504) BOUND_VARIABLE_276505))))) (let ((_let_13891 (forall ((BOUND_VARIABLE_395160 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_276490 tptp.set_int) (BOUND_VARIABLE_276491 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9578 BOUND_VARIABLE_395160) BOUND_VARIABLE_276490) BOUND_VARIABLE_276491) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276491)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_395160) BOUND_VARIABLE_276490))))))) (let ((_let_13892 (forall ((BOUND_VARIABLE_276479 tptp.product_unit) (BOUND_VARIABLE_395177 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_276481 tptp.int)) (= (ho_6125 (ho_9563 (ho_9562 k_9579 BOUND_VARIABLE_276479) BOUND_VARIABLE_395177) BOUND_VARIABLE_276481) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276479) (ho_6125 BOUND_VARIABLE_395177 BOUND_VARIABLE_276481)))))) (let ((_let_13893 (forall ((BOUND_VARIABLE_276445 Bool) (BOUND_VARIABLE_395188 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_276447 tptp.set_nat) (BOUND_VARIABLE_276448 Bool)) (= (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276448)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6403 k_6427 BOUND_VARIABLE_276445) BOUND_VARIABLE_395188)) BOUND_VARIABLE_276447))) (ho_5235 (ho_7473 (ho_8511 (ho_9517 k_9580 BOUND_VARIABLE_276445) BOUND_VARIABLE_395188) BOUND_VARIABLE_276447) BOUND_VARIABLE_276448))))) (let ((_let_13894 (forall ((BOUND_VARIABLE_395212 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_276433 tptp.set_nat) (BOUND_VARIABLE_276434 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9581 BOUND_VARIABLE_395212) BOUND_VARIABLE_276433) BOUND_VARIABLE_276434) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276434)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_395212) BOUND_VARIABLE_276433))))))) (let ((_let_13895 (forall ((BOUND_VARIABLE_276422 tptp.product_unit) (BOUND_VARIABLE_395229 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_276424 tptp.nat)) (= (ho_8512 (ho_8557 (ho_9519 k_9582 BOUND_VARIABLE_276422) BOUND_VARIABLE_395229) BOUND_VARIABLE_276424) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276422) (ho_8512 BOUND_VARIABLE_395229 BOUND_VARIABLE_276424)))))) (let ((_let_13896 (forall ((BOUND_VARIABLE_276388 Bool) (BOUND_VARIABLE_395240 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_276390 tptp.set_o) (BOUND_VARIABLE_276391 Bool)) (= (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276391)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6405 k_6428 BOUND_VARIABLE_276388) BOUND_VARIABLE_395240)) BOUND_VARIABLE_276390))) (ho_5235 (ho_5234 (ho_8518 (ho_9523 k_9583 BOUND_VARIABLE_276388) BOUND_VARIABLE_395240) BOUND_VARIABLE_276390) BOUND_VARIABLE_276391))))) (let ((_let_13897 (forall ((BOUND_VARIABLE_395264 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_276376 tptp.set_o) (BOUND_VARIABLE_276377 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9584 BOUND_VARIABLE_395264) BOUND_VARIABLE_276376) BOUND_VARIABLE_276377) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276377)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_395264) BOUND_VARIABLE_276376))))))) (let ((_let_13898 (forall ((BOUND_VARIABLE_276365 tptp.product_unit) (BOUND_VARIABLE_395281 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_276367 Bool)) (= (ho_6101 (ho_8567 (ho_9525 k_9585 BOUND_VARIABLE_276365) BOUND_VARIABLE_395281) BOUND_VARIABLE_276367) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276365) (ho_6101 BOUND_VARIABLE_395281 BOUND_VARIABLE_276367)))))) (let ((_let_13899 (forall ((BOUND_VARIABLE_276326 tptp.nat) (BOUND_VARIABLE_276327 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_276327)) (ho_4565 (ho_4564 k_4563 (ho_4523 k_6429 BOUND_VARIABLE_276326)) (ho_4560 (ho_4854 k_4853 BOUND_VARIABLE_276326) (ho_4845 k_4844 k_4852))))) (ho_4575 (ho_4574 k_9586 BOUND_VARIABLE_276326) BOUND_VARIABLE_276327))))) (let ((_let_13900 (forall ((BOUND_VARIABLE_276287 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_276288 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_276288)) (ho_4533 (ho_4532 k_4531 (ho_4503 k_6430 BOUND_VARIABLE_276287)) (ho_5160 (ho_5295 k_5294 BOUND_VARIABLE_276287) tptp.bot_bo3083307316010499117at_nat)))) (ho_4544 (ho_4549 k_9587 BOUND_VARIABLE_276287) BOUND_VARIABLE_276288))))) (let ((_let_13901 (forall ((BOUND_VARIABLE_276248 tptp.int) (BOUND_VARIABLE_276249 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_276249)) (ho_4899 (ho_4898 k_4897 (ho_4609 k_6431 BOUND_VARIABLE_276248)) (ho_4913 (ho_4912 k_4911 BOUND_VARIABLE_276248) tptp.bot_bot_set_int)))) (ho_4599 (ho_4907 k_9588 BOUND_VARIABLE_276248) BOUND_VARIABLE_276249))))) (let ((_let_13902 (forall ((BOUND_VARIABLE_276243 tptp.product_prod_int_int)) (not (ho_4599 k_4598 BOUND_VARIABLE_276243))))) (let ((_let_13903 (forall ((BOUND_VARIABLE_276213 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_276214 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6432 BOUND_VARIABLE_276214)) (ho_7997 (ho_9590 k_9589 BOUND_VARIABLE_276213) tptp.bot_bo1534825418459847827at_nat))) (ho_6325 (ho_6324 k_9591 BOUND_VARIABLE_276213) BOUND_VARIABLE_276214))))) (let ((_let_13904 (forall ((BOUND_VARIABLE_276195 tptp.set_nat) (BOUND_VARIABLE_276196 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276196)) (ho_4765 (ho_4764 k_4763 k_6433) BOUND_VARIABLE_276195))) (ho_4593 (ho_4762 k_9592 BOUND_VARIABLE_276195) BOUND_VARIABLE_276196))))) (let ((_let_13905 (forall ((BOUND_VARIABLE_276177 tptp.set_o) (BOUND_VARIABLE_276178 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_276178)) (ho_7493 (ho_7492 k_7491 k_6434) BOUND_VARIABLE_276177))) (ho_5235 (ho_5234 k_9593 BOUND_VARIABLE_276177) BOUND_VARIABLE_276178))))) (let ((_let_13906 (forall ((BOUND_VARIABLE_276159 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_276160 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_276160)) (ho_4546 (ho_6861 k_6860 k_6435) BOUND_VARIABLE_276159))) (ho_4575 (ho_5239 k_9594 BOUND_VARIABLE_276159) BOUND_VARIABLE_276160))))) (let ((_let_13907 (forall ((BOUND_VARIABLE_276141 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_276142 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_276142)) (ho_5126 (ho_5125 k_5124 k_6436) BOUND_VARIABLE_276141))) (ho_4544 (ho_5018 k_9595 BOUND_VARIABLE_276141) BOUND_VARIABLE_276142))))) (let ((_let_13908 (forall ((BOUND_VARIABLE_276134 tptp.product_unit)) (= (ho_6114 k_9596 BOUND_VARIABLE_276134) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_276134) tptp.bot_bo3957492148770167129t_unit))))) (let ((_let_13909 (forall ((BOUND_VARIABLE_276101 tptp.product_prod_nat_nat) (BOUND_VARIABLE_395420 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_276103 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_276103)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_6395 k_6437 BOUND_VARIABLE_276101) BOUND_VARIABLE_395420)) tptp.bot_bo3957492148770167129t_unit))) (ho_4575 (ho_7665 (ho_9598 k_9597 BOUND_VARIABLE_276101) BOUND_VARIABLE_395420) BOUND_VARIABLE_276103))))) (let ((_let_13910 (forall ((BOUND_VARIABLE_276066 tptp.product_prod_nat_nat) (BOUND_VARIABLE_395443 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_276068 tptp.set_Product_unit) (BOUND_VARIABLE_276069 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_276069)) (ho_7668 (ho_7667 k_7666 (ho_5654 (ho_6395 k_6438 BOUND_VARIABLE_276066) BOUND_VARIABLE_395443)) BOUND_VARIABLE_276068))) (ho_4575 (ho_7671 (ho_7670 (ho_9502 k_9599 BOUND_VARIABLE_276066) BOUND_VARIABLE_395443) BOUND_VARIABLE_276068) BOUND_VARIABLE_276069))))) (let ((_let_13911 (forall ((BOUND_VARIABLE_395467 |u_(-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_276054 tptp.set_Product_unit) (BOUND_VARIABLE_276055 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_7671 (ho_7670 k_9600 BOUND_VARIABLE_395467) BOUND_VARIABLE_276054) BOUND_VARIABLE_276055) (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_276055)) (ho_7668 (ho_7667 k_7666 BOUND_VARIABLE_395467) BOUND_VARIABLE_276054))))))) (let ((_let_13912 (forall ((BOUND_VARIABLE_276020 tptp.nat) (BOUND_VARIABLE_395481 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_276022 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_276022)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_6397 k_6439 BOUND_VARIABLE_276020) BOUND_VARIABLE_395481)) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4992 (ho_9602 k_9601 BOUND_VARIABLE_276020) BOUND_VARIABLE_395481) BOUND_VARIABLE_276022))))) (let ((_let_13913 (forall ((BOUND_VARIABLE_275985 tptp.nat) (BOUND_VARIABLE_395504 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_275987 tptp.set_nat) (BOUND_VARIABLE_275988 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275988)) (ho_4765 (ho_4764 k_4763 (ho_5621 (ho_6397 k_6440 BOUND_VARIABLE_275985) BOUND_VARIABLE_395504)) BOUND_VARIABLE_275987))) (ho_4593 (ho_4762 (ho_4761 (ho_7923 k_9603 BOUND_VARIABLE_275985) BOUND_VARIABLE_395504) BOUND_VARIABLE_275987) BOUND_VARIABLE_275988))))) (let ((_let_13914 (forall ((BOUND_VARIABLE_395528 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_275973 tptp.set_nat) (BOUND_VARIABLE_275974 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9604 BOUND_VARIABLE_395528) BOUND_VARIABLE_275973) BOUND_VARIABLE_275974) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275974)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_395528) BOUND_VARIABLE_275973))))))) (let ((_let_13915 (forall ((BOUND_VARIABLE_275939 tptp.nat) (BOUND_VARIABLE_395542 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_275941 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275941)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_6399 k_6441 BOUND_VARIABLE_275939) BOUND_VARIABLE_395542)) tptp.bot_bot_set_o))) (ho_4593 (ho_4997 (ho_9606 k_9605 BOUND_VARIABLE_275939) BOUND_VARIABLE_395542) BOUND_VARIABLE_275941))))) (let ((_let_13916 (forall ((BOUND_VARIABLE_275904 tptp.nat) (BOUND_VARIABLE_395565 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_275906 tptp.set_o) (BOUND_VARIABLE_275907 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275907)) (ho_4699 (ho_4698 k_4697 (ho_5624 (ho_6399 k_6442 BOUND_VARIABLE_275904) BOUND_VARIABLE_395565)) BOUND_VARIABLE_275906))) (ho_4593 (ho_5000 (ho_4999 (ho_9509 k_9607 BOUND_VARIABLE_275904) BOUND_VARIABLE_395565) BOUND_VARIABLE_275906) BOUND_VARIABLE_275907))))) (let ((_let_13917 (forall ((BOUND_VARIABLE_395589 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_275892 tptp.set_o) (BOUND_VARIABLE_275893 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9608 BOUND_VARIABLE_395589) BOUND_VARIABLE_275892) BOUND_VARIABLE_275893) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275893)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_395589) BOUND_VARIABLE_275892))))))) (let ((_let_13918 (forall ((BOUND_VARIABLE_275858 tptp.nat) (BOUND_VARIABLE_395603 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_275860 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275860)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_6401 k_6443 BOUND_VARIABLE_275858) BOUND_VARIABLE_395603)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_5006 (ho_9610 k_9609 BOUND_VARIABLE_275858) BOUND_VARIABLE_395603) BOUND_VARIABLE_275860))))) (let ((_let_13919 (forall ((BOUND_VARIABLE_275823 tptp.nat) (BOUND_VARIABLE_395626 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_275825 tptp.set_Product_unit) (BOUND_VARIABLE_275826 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275826)) (ho_4945 (ho_4944 k_4943 (ho_5633 (ho_6401 k_6444 BOUND_VARIABLE_275823) BOUND_VARIABLE_395626)) BOUND_VARIABLE_275825))) (ho_4593 (ho_5009 (ho_5008 (ho_9513 k_9611 BOUND_VARIABLE_275823) BOUND_VARIABLE_395626) BOUND_VARIABLE_275825) BOUND_VARIABLE_275826))))) (let ((_let_13920 (forall ((BOUND_VARIABLE_395650 |u_(-> tptp.product_unit tptp.set_nat)|) (BOUND_VARIABLE_275811 tptp.set_Product_unit) (BOUND_VARIABLE_275812 tptp.nat)) (= (ho_4593 (ho_5009 (ho_5008 k_9612 BOUND_VARIABLE_395650) BOUND_VARIABLE_275811) BOUND_VARIABLE_275812) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275812)) (ho_4945 (ho_4944 k_4943 BOUND_VARIABLE_395650) BOUND_VARIABLE_275811))))))) (let ((_let_13921 (forall ((BOUND_VARIABLE_275777 Bool) (BOUND_VARIABLE_395664 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_275779 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275779)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6403 k_6445 BOUND_VARIABLE_275777) BOUND_VARIABLE_395664)) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_8551 (ho_9614 k_9613 BOUND_VARIABLE_275777) BOUND_VARIABLE_395664) BOUND_VARIABLE_275779))))) (let ((_let_13922 (forall ((BOUND_VARIABLE_275742 Bool) (BOUND_VARIABLE_395687 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_275744 tptp.set_nat) (BOUND_VARIABLE_275745 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275745)) (ho_7479 (ho_7478 k_7477 (ho_6041 (ho_6403 k_6446 BOUND_VARIABLE_275742) BOUND_VARIABLE_395687)) BOUND_VARIABLE_275744))) (ho_5235 (ho_7473 (ho_8511 (ho_9517 k_9615 BOUND_VARIABLE_275742) BOUND_VARIABLE_395687) BOUND_VARIABLE_275744) BOUND_VARIABLE_275745))))) (let ((_let_13923 (forall ((BOUND_VARIABLE_395711 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_275730 tptp.set_nat) (BOUND_VARIABLE_275731 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9616 BOUND_VARIABLE_395711) BOUND_VARIABLE_275730) BOUND_VARIABLE_275731) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275731)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_395711) BOUND_VARIABLE_275730))))))) (let ((_let_13924 (forall ((BOUND_VARIABLE_275719 tptp.product_unit) (BOUND_VARIABLE_395728 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_275721 tptp.nat)) (= (ho_8512 (ho_8557 (ho_9519 k_9617 BOUND_VARIABLE_275719) BOUND_VARIABLE_395728) BOUND_VARIABLE_275721) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_275719) (ho_8512 BOUND_VARIABLE_395728 BOUND_VARIABLE_275721)))))) (let ((_let_13925 (forall ((BOUND_VARIABLE_275709 tptp.product_unit) (BOUND_VARIABLE_395742 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_275711 tptp.nat)) (= (ho_8512 (ho_8557 (ho_9519 k_9618 BOUND_VARIABLE_275709) BOUND_VARIABLE_395742) BOUND_VARIABLE_275711) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_275709) (ho_8512 BOUND_VARIABLE_395742 BOUND_VARIABLE_275711)))))) (let ((_let_13926 (forall ((BOUND_VARIABLE_275676 Bool) (BOUND_VARIABLE_395753 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_275678 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275678)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6405 k_6447 BOUND_VARIABLE_275676) BOUND_VARIABLE_395753)) tptp.bot_bot_set_o))) (ho_5235 (ho_8561 (ho_9620 k_9619 BOUND_VARIABLE_275676) BOUND_VARIABLE_395753) BOUND_VARIABLE_275678))))) (let ((_let_13927 (forall ((BOUND_VARIABLE_275641 Bool) (BOUND_VARIABLE_395776 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_275643 tptp.set_o) (BOUND_VARIABLE_275644 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275644)) (ho_7493 (ho_7492 k_7491 (ho_6045 (ho_6405 k_6448 BOUND_VARIABLE_275641) BOUND_VARIABLE_395776)) BOUND_VARIABLE_275643))) (ho_5235 (ho_5234 (ho_8518 (ho_9523 k_9621 BOUND_VARIABLE_275641) BOUND_VARIABLE_395776) BOUND_VARIABLE_275643) BOUND_VARIABLE_275644))))) (let ((_let_13928 (forall ((BOUND_VARIABLE_395800 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_275629 tptp.set_o) (BOUND_VARIABLE_275630 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9622 BOUND_VARIABLE_395800) BOUND_VARIABLE_275629) BOUND_VARIABLE_275630) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275630)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_395800) BOUND_VARIABLE_275629))))))) (let ((_let_13929 (forall ((BOUND_VARIABLE_275618 tptp.product_unit) (BOUND_VARIABLE_395817 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_275620 Bool)) (= (ho_6101 (ho_8567 (ho_9525 k_9623 BOUND_VARIABLE_275618) BOUND_VARIABLE_395817) BOUND_VARIABLE_275620) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_275618) (ho_6101 BOUND_VARIABLE_395817 BOUND_VARIABLE_275620)))))) (let ((_let_13930 (forall ((BOUND_VARIABLE_275608 tptp.product_unit) (BOUND_VARIABLE_395831 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_275610 Bool)) (= (ho_6101 (ho_8567 (ho_9525 k_9624 BOUND_VARIABLE_275608) BOUND_VARIABLE_395831) BOUND_VARIABLE_275610) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_275608) (ho_6101 BOUND_VARIABLE_395831 BOUND_VARIABLE_275610)))))) (let ((_let_13931 (forall ((BOUND_VARIABLE_275575 Bool) (BOUND_VARIABLE_395842 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_275577 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275577)) (ho_7507 (ho_7506 k_7505 (ho_6049 (ho_6407 k_6449 BOUND_VARIABLE_275575) BOUND_VARIABLE_395842)) tptp.bot_bo3957492148770167129t_unit))) (ho_5235 (ho_8571 (ho_9626 k_9625 BOUND_VARIABLE_275575) BOUND_VARIABLE_395842) BOUND_VARIABLE_275577))))) (let ((_let_13932 (forall ((BOUND_VARIABLE_275540 Bool) (BOUND_VARIABLE_395865 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_275542 tptp.set_Product_unit) (BOUND_VARIABLE_275543 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275543)) (ho_7507 (ho_7506 k_7505 (ho_6049 (ho_6407 k_6450 BOUND_VARIABLE_275540) BOUND_VARIABLE_395865)) BOUND_VARIABLE_275542))) (ho_5235 (ho_7501 (ho_8531 (ho_9529 k_9627 BOUND_VARIABLE_275540) BOUND_VARIABLE_395865) BOUND_VARIABLE_275542) BOUND_VARIABLE_275543))))) (let ((_let_13933 (forall ((BOUND_VARIABLE_395889 |u_(-> tptp.product_unit tptp.set_o)|) (BOUND_VARIABLE_275528 tptp.set_Product_unit) (BOUND_VARIABLE_275529 Bool)) (= (ho_5235 (ho_7501 (ho_8531 k_9628 BOUND_VARIABLE_395889) BOUND_VARIABLE_275528) BOUND_VARIABLE_275529) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275529)) (ho_7507 (ho_7506 k_7505 BOUND_VARIABLE_395889) BOUND_VARIABLE_275528))))))) (let ((_let_13934 (forall ((BOUND_VARIABLE_275517 tptp.product_unit) (BOUND_VARIABLE_395906 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_275519 tptp.product_unit)) (= (ho_6114 (ho_8577 (ho_9531 k_9629 BOUND_VARIABLE_275517) BOUND_VARIABLE_395906) BOUND_VARIABLE_275519) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_275517) (ho_6114 BOUND_VARIABLE_395906 BOUND_VARIABLE_275519)))))) (let ((_let_13935 (forall ((BOUND_VARIABLE_275507 tptp.product_unit) (BOUND_VARIABLE_395920 |u_(-> tptp.product_unit tptp.set_Product_unit)|) (BOUND_VARIABLE_275509 tptp.product_unit)) (= (ho_6114 (ho_8577 (ho_9531 k_9630 BOUND_VARIABLE_275507) BOUND_VARIABLE_395920) BOUND_VARIABLE_275509) (ho_4885 (ho_4884 k_4883 BOUND_VARIABLE_275507) (ho_6114 BOUND_VARIABLE_395920 BOUND_VARIABLE_275509)))))) (let ((_let_13936 (forall ((BOUND_VARIABLE_275483 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_275484 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_275484)) (ho_7668 (ho_7667 k_7666 (ho_5684 k_6451 BOUND_VARIABLE_275483)) tptp.bot_bo3957492148770167129t_unit))) (ho_4575 (ho_5239 k_9631 BOUND_VARIABLE_275483) BOUND_VARIABLE_275484))))) (let ((_let_13937 (forall ((BOUND_VARIABLE_275458 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_275459 tptp.set_Product_unit) (BOUND_VARIABLE_275460 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_275460)) (ho_7668 (ho_7667 k_7666 (ho_5684 k_6452 BOUND_VARIABLE_275458)) BOUND_VARIABLE_275459))) (ho_4575 (ho_7671 (ho_7721 k_9632 BOUND_VARIABLE_275458) BOUND_VARIABLE_275459) BOUND_VARIABLE_275460))))) (let ((_let_13938 (forall ((BOUND_VARIABLE_275434 tptp.set_nat) (BOUND_VARIABLE_275435 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275435)) (ho_4765 (ho_4764 k_4763 (ho_5658 k_6453 BOUND_VARIABLE_275434)) (ho_4845 k_4844 k_4852)))) (ho_4593 (ho_4762 k_9633 BOUND_VARIABLE_275434) BOUND_VARIABLE_275435))))) (let ((_let_13939 (forall ((BOUND_VARIABLE_275409 tptp.set_nat) (BOUND_VARIABLE_275410 tptp.set_nat) (BOUND_VARIABLE_275411 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275411)) (ho_4765 (ho_4764 k_4763 (ho_5658 k_6454 BOUND_VARIABLE_275409)) BOUND_VARIABLE_275410))) (ho_4593 (ho_4762 (ho_5070 k_9634 BOUND_VARIABLE_275409) BOUND_VARIABLE_275410) BOUND_VARIABLE_275411))))) (let ((_let_13940 (forall ((BOUND_VARIABLE_275385 tptp.set_nat) (BOUND_VARIABLE_275386 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275386)) (ho_4699 (ho_4698 k_4697 (ho_4654 k_6455 BOUND_VARIABLE_275385)) tptp.bot_bot_set_o))) (ho_4593 (ho_4762 k_9635 BOUND_VARIABLE_275385) BOUND_VARIABLE_275386))))) (let ((_let_13941 (forall ((BOUND_VARIABLE_275360 tptp.set_nat) (BOUND_VARIABLE_275361 tptp.set_o) (BOUND_VARIABLE_275362 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275362)) (ho_4699 (ho_4698 k_4697 (ho_4654 k_6456 BOUND_VARIABLE_275360)) BOUND_VARIABLE_275361))) (ho_4593 (ho_5000 (ho_7682 k_9636 BOUND_VARIABLE_275360) BOUND_VARIABLE_275361) BOUND_VARIABLE_275362))))) (let ((_let_13942 (forall ((BOUND_VARIABLE_275336 tptp.set_nat) (BOUND_VARIABLE_275337 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275337)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6457 BOUND_VARIABLE_275336)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_4762 k_9637 BOUND_VARIABLE_275336) BOUND_VARIABLE_275337))))) (let ((_let_13943 (forall ((BOUND_VARIABLE_275311 tptp.set_nat) (BOUND_VARIABLE_275312 tptp.set_Product_unit) (BOUND_VARIABLE_275313 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275313)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6458 BOUND_VARIABLE_275311)) BOUND_VARIABLE_275312))) (ho_4593 (ho_5009 (ho_7450 k_9638 BOUND_VARIABLE_275311) BOUND_VARIABLE_275312) BOUND_VARIABLE_275313))))) (let ((_let_13944 (forall ((BOUND_VARIABLE_275287 tptp.set_o) (BOUND_VARIABLE_275288 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275288)) (ho_7479 (ho_7478 k_7477 (ho_6014 k_6459 BOUND_VARIABLE_275287)) (ho_4845 k_4844 k_4852)))) (ho_5235 (ho_5234 k_9639 BOUND_VARIABLE_275287) BOUND_VARIABLE_275288))))) (let ((_let_13945 (forall ((BOUND_VARIABLE_275262 tptp.set_o) (BOUND_VARIABLE_275263 tptp.set_nat) (BOUND_VARIABLE_275264 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275264)) (ho_7479 (ho_7478 k_7477 (ho_6014 k_6460 BOUND_VARIABLE_275262)) BOUND_VARIABLE_275263))) (ho_5235 (ho_7473 (ho_7472 k_9640 BOUND_VARIABLE_275262) BOUND_VARIABLE_275263) BOUND_VARIABLE_275264))))) (let ((_let_13946 (forall ((BOUND_VARIABLE_275256 tptp.set_Product_unit) (BOUND_VARIABLE_275257 tptp.nat)) (= BOUND_VARIABLE_275256 (ho_8512 (ho_8515 k_9641 BOUND_VARIABLE_275256) BOUND_VARIABLE_275257))))) (let ((_let_13947 (forall ((BOUND_VARIABLE_275250 tptp.set_Product_unit) (BOUND_VARIABLE_275251 tptp.nat)) (= BOUND_VARIABLE_275250 (ho_8512 (ho_8515 k_9642 BOUND_VARIABLE_275250) BOUND_VARIABLE_275251))))) (let ((_let_13948 (forall ((BOUND_VARIABLE_275226 tptp.set_o) (BOUND_VARIABLE_275227 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275227)) (ho_7493 (ho_7492 k_7491 (ho_6021 k_6461 BOUND_VARIABLE_275226)) tptp.bot_bot_set_o))) (ho_5235 (ho_5234 k_9643 BOUND_VARIABLE_275226) BOUND_VARIABLE_275227))))) (let ((_let_13949 (forall ((BOUND_VARIABLE_275201 tptp.set_o) (BOUND_VARIABLE_275202 tptp.set_o) (BOUND_VARIABLE_275203 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275203)) (ho_7493 (ho_7492 k_7491 (ho_6021 k_6462 BOUND_VARIABLE_275201)) BOUND_VARIABLE_275202))) (ho_5235 (ho_5234 (ho_7487 k_9644 BOUND_VARIABLE_275201) BOUND_VARIABLE_275202) BOUND_VARIABLE_275203))))) (let ((_let_13950 (forall ((BOUND_VARIABLE_275195 tptp.set_Product_unit) (BOUND_VARIABLE_275196 Bool)) (= BOUND_VARIABLE_275195 (ho_6101 (ho_8524 k_9645 BOUND_VARIABLE_275195) BOUND_VARIABLE_275196))))) (let ((_let_13951 (forall ((BOUND_VARIABLE_275189 tptp.set_Product_unit) (BOUND_VARIABLE_275190 Bool)) (= BOUND_VARIABLE_275189 (ho_6101 (ho_8524 k_9646 BOUND_VARIABLE_275189) BOUND_VARIABLE_275190))))) (let ((_let_13952 (forall ((BOUND_VARIABLE_275165 tptp.set_o) (BOUND_VARIABLE_275166 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275166)) (ho_7507 (ho_7506 k_7505 (ho_6026 k_6463 BOUND_VARIABLE_275165)) tptp.bot_bo3957492148770167129t_unit))) (ho_5235 (ho_5234 k_9647 BOUND_VARIABLE_275165) BOUND_VARIABLE_275166))))) (let ((_let_13953 (forall ((BOUND_VARIABLE_275140 tptp.set_o) (BOUND_VARIABLE_275141 tptp.set_Product_unit) (BOUND_VARIABLE_275142 Bool)) (= (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_275142)) (ho_7507 (ho_7506 k_7505 (ho_6026 k_6464 BOUND_VARIABLE_275140)) BOUND_VARIABLE_275141))) (ho_5235 (ho_7501 (ho_7500 k_9648 BOUND_VARIABLE_275140) BOUND_VARIABLE_275141) BOUND_VARIABLE_275142))))) (let ((_let_13954 (forall ((BOUND_VARIABLE_275134 tptp.set_Product_unit) (BOUND_VARIABLE_275135 tptp.product_unit)) (= BOUND_VARIABLE_275134 (ho_6114 (ho_8534 k_9649 BOUND_VARIABLE_275134) BOUND_VARIABLE_275135))))) (let ((_let_13955 (forall ((BOUND_VARIABLE_275128 tptp.set_Product_unit) (BOUND_VARIABLE_275129 tptp.product_unit)) (= BOUND_VARIABLE_275128 (ho_6114 (ho_8534 k_9650 BOUND_VARIABLE_275128) BOUND_VARIABLE_275129))))) (let ((_let_13956 (forall ((BOUND_VARIABLE_275103 tptp.set_nat) (BOUND_VARIABLE_275104 tptp.set_nat) (BOUND_VARIABLE_275105 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275105)) (ho_4765 (ho_4764 k_4763 (ho_5658 k_6465 BOUND_VARIABLE_275103)) BOUND_VARIABLE_275104))) (ho_4593 (ho_4762 (ho_5070 k_9651 BOUND_VARIABLE_275103) BOUND_VARIABLE_275104) BOUND_VARIABLE_275105))))) (let ((_let_13957 (forall ((BOUND_VARIABLE_275078 tptp.set_nat) (BOUND_VARIABLE_275079 tptp.set_o) (BOUND_VARIABLE_275080 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275080)) (ho_4699 (ho_4698 k_4697 (ho_4654 k_6466 BOUND_VARIABLE_275078)) BOUND_VARIABLE_275079))) (ho_4593 (ho_5000 (ho_7682 k_9652 BOUND_VARIABLE_275078) BOUND_VARIABLE_275079) BOUND_VARIABLE_275080))))) (let ((_let_13958 (forall ((BOUND_VARIABLE_275053 tptp.set_nat) (BOUND_VARIABLE_275054 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_275055 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275055)) (ho_4981 (ho_4980 k_4979 (ho_5663 k_6467 BOUND_VARIABLE_275053)) BOUND_VARIABLE_275054))) (ho_4593 (ho_4986 (ho_7687 k_9653 BOUND_VARIABLE_275053) BOUND_VARIABLE_275054) BOUND_VARIABLE_275055))))) (let ((_let_13959 (forall ((BOUND_VARIABLE_275028 tptp.set_nat) (BOUND_VARIABLE_275029 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_275030 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275030)) (ho_5110 (ho_5109 k_5108 (ho_5666 k_6468 BOUND_VARIABLE_275028)) BOUND_VARIABLE_275029))) (ho_4593 (ho_5107 (ho_7692 k_9654 BOUND_VARIABLE_275028) BOUND_VARIABLE_275029) BOUND_VARIABLE_275030))))) (let ((_let_13960 (forall ((BOUND_VARIABLE_275003 tptp.set_nat) (BOUND_VARIABLE_275004 tptp.set_Product_unit) (BOUND_VARIABLE_275005 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_275005)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6469 BOUND_VARIABLE_275003)) BOUND_VARIABLE_275004))) (ho_4593 (ho_5009 (ho_7450 k_9655 BOUND_VARIABLE_275003) BOUND_VARIABLE_275004) BOUND_VARIABLE_275005))))) (let ((_let_13961 (forall ((BOUND_VARIABLE_274977 tptp.set_nat) (BOUND_VARIABLE_274978 tptp.set_nat) (BOUND_VARIABLE_274979 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274979)) (ho_4765 (ho_4764 k_4763 (ho_5658 k_6470 BOUND_VARIABLE_274977)) BOUND_VARIABLE_274978))) (ho_4593 (ho_4762 (ho_5070 k_9656 BOUND_VARIABLE_274977) BOUND_VARIABLE_274978) BOUND_VARIABLE_274979))))) (let ((_let_13962 (forall ((BOUND_VARIABLE_274952 tptp.set_nat) (BOUND_VARIABLE_274953 tptp.set_o) (BOUND_VARIABLE_274954 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274954)) (ho_4699 (ho_4698 k_4697 (ho_4654 k_6471 BOUND_VARIABLE_274952)) BOUND_VARIABLE_274953))) (ho_4593 (ho_5000 (ho_7682 k_9657 BOUND_VARIABLE_274952) BOUND_VARIABLE_274953) BOUND_VARIABLE_274954))))) (let ((_let_13963 (forall ((BOUND_VARIABLE_274926 tptp.set_nat) (BOUND_VARIABLE_274927 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274928 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274928)) (ho_4981 (ho_4980 k_4979 (ho_5663 k_6472 BOUND_VARIABLE_274926)) BOUND_VARIABLE_274927))) (ho_4593 (ho_4986 (ho_7687 k_9658 BOUND_VARIABLE_274926) BOUND_VARIABLE_274927) BOUND_VARIABLE_274928))))) (let ((_let_13964 (forall ((BOUND_VARIABLE_274900 tptp.set_nat) (BOUND_VARIABLE_274901 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_274902 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274902)) (ho_5110 (ho_5109 k_5108 (ho_5666 k_6473 BOUND_VARIABLE_274900)) BOUND_VARIABLE_274901))) (ho_4593 (ho_5107 (ho_7692 k_9659 BOUND_VARIABLE_274900) BOUND_VARIABLE_274901) BOUND_VARIABLE_274902))))) (let ((_let_13965 (forall ((BOUND_VARIABLE_274875 tptp.set_nat) (BOUND_VARIABLE_274876 tptp.set_Product_unit) (BOUND_VARIABLE_274877 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274877)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6474 BOUND_VARIABLE_274875)) BOUND_VARIABLE_274876))) (ho_4593 (ho_5009 (ho_7450 k_9660 BOUND_VARIABLE_274875) BOUND_VARIABLE_274876) BOUND_VARIABLE_274877))))) (let ((_let_13966 (forall ((BOUND_VARIABLE_274864 tptp.set_set_nat) (BOUND_VARIABLE_274865 tptp.nat)) (= (ho_4593 (ho_5067 k_9661 BOUND_VARIABLE_274864) BOUND_VARIABLE_274865) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274865)) (ho_6952 (ho_6951 k_6950 (ho_4857 k_5911 k_9472)) BOUND_VARIABLE_274864))))))) (let ((_let_13967 (forall ((BOUND_VARIABLE_274854 tptp.set_set_nat) (BOUND_VARIABLE_274855 tptp.nat)) (= (ho_4593 (ho_5067 k_9662 BOUND_VARIABLE_274854) BOUND_VARIABLE_274855) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274855)) BOUND_VARIABLE_274854)))))) (let ((_let_13968 (forall ((BOUND_VARIABLE_274843 tptp.set_set_nat) (BOUND_VARIABLE_274844 tptp.nat)) (= (ho_4593 (ho_5067 k_9663 BOUND_VARIABLE_274843) BOUND_VARIABLE_274844) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274844)) (ho_6952 (ho_6951 k_6950 (ho_4857 k_5911 k_9472)) BOUND_VARIABLE_274843))))))) (let ((_let_13969 (forall ((BOUND_VARIABLE_274833 tptp.set_set_nat) (BOUND_VARIABLE_274834 tptp.nat)) (= (ho_4593 (ho_5067 k_9664 BOUND_VARIABLE_274833) BOUND_VARIABLE_274834) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274834)) BOUND_VARIABLE_274833)))))) (let ((_let_13970 (forall ((BOUND_VARIABLE_396395 |u_(-> tptp.product_prod_nat_nat tptp.set_o)|) (BOUND_VARIABLE_274821 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274822 Bool)) (= (ho_5235 (ho_9668 (ho_9667 k_9666 BOUND_VARIABLE_396395) BOUND_VARIABLE_274821) BOUND_VARIABLE_274822) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274822)) (ho_9671 (ho_9670 k_9669 BOUND_VARIABLE_396395) BOUND_VARIABLE_274821))))))) (let ((_let_13971 (forall ((BOUND_VARIABLE_396429 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_274808 tptp.set_int) (BOUND_VARIABLE_274809 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9672 BOUND_VARIABLE_396429) BOUND_VARIABLE_274808) BOUND_VARIABLE_274809) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274809)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_396429) BOUND_VARIABLE_274808))))))) (let ((_let_13972 (forall ((BOUND_VARIABLE_396446 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_274795 tptp.set_nat) (BOUND_VARIABLE_274796 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9673 BOUND_VARIABLE_396446) BOUND_VARIABLE_274795) BOUND_VARIABLE_274796) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274796)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_396446) BOUND_VARIABLE_274795))))))) (let ((_let_13973 (forall ((BOUND_VARIABLE_396463 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_274782 tptp.set_o) (BOUND_VARIABLE_274783 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9674 BOUND_VARIABLE_396463) BOUND_VARIABLE_274782) BOUND_VARIABLE_274783) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274783)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_396463) BOUND_VARIABLE_274782))))))) (let ((_let_13974 (forall ((BOUND_VARIABLE_396480 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_274769 tptp.set_int) (BOUND_VARIABLE_274770 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_9675 BOUND_VARIABLE_396480) BOUND_VARIABLE_274769) BOUND_VARIABLE_274770) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_274770)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_396480) BOUND_VARIABLE_274769))))))) (let ((_let_13975 (forall ((BOUND_VARIABLE_396497 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_274756 tptp.set_int) (BOUND_VARIABLE_274757 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9676 BOUND_VARIABLE_396497) BOUND_VARIABLE_274756) BOUND_VARIABLE_274757) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274757)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_396497) BOUND_VARIABLE_274756))))))) (let ((_let_13976 (forall ((BOUND_VARIABLE_396514 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_274743 tptp.set_nat) (BOUND_VARIABLE_274744 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9677 BOUND_VARIABLE_396514) BOUND_VARIABLE_274743) BOUND_VARIABLE_274744) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_274744)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_396514) BOUND_VARIABLE_274743))))))) (let ((_let_13977 (forall ((BOUND_VARIABLE_396531 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_274730 tptp.set_nat) (BOUND_VARIABLE_274731 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9678 BOUND_VARIABLE_396531) BOUND_VARIABLE_274730) BOUND_VARIABLE_274731) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274731)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_396531) BOUND_VARIABLE_274730))))))) (let ((_let_13978 (forall ((BOUND_VARIABLE_396548 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_274717 tptp.set_o) (BOUND_VARIABLE_274718 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9679 BOUND_VARIABLE_396548) BOUND_VARIABLE_274717) BOUND_VARIABLE_274718) (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_274718)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_396548) BOUND_VARIABLE_274717))))))) (let ((_let_13979 (forall ((BOUND_VARIABLE_396565 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_274704 tptp.set_o) (BOUND_VARIABLE_274705 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9680 BOUND_VARIABLE_396565) BOUND_VARIABLE_274704) BOUND_VARIABLE_274705) (ho_4540 k_5068 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274705)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_396565) BOUND_VARIABLE_274704))))))) (let ((_let_13980 (forall ((BOUND_VARIABLE_396582 |u_(-> tptp.product_prod_nat_nat tptp.set_o)|) (BOUND_VARIABLE_274691 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274692 Bool)) (= (ho_5235 (ho_9668 (ho_9667 k_9681 BOUND_VARIABLE_396582) BOUND_VARIABLE_274691) BOUND_VARIABLE_274692) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274692)) (ho_9671 (ho_9670 k_9669 BOUND_VARIABLE_396582) BOUND_VARIABLE_274691))))))) (let ((_let_13981 (forall ((BOUND_VARIABLE_396599 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_274678 tptp.set_int) (BOUND_VARIABLE_274679 tptp.nat)) (= (ho_4593 (ho_5080 (ho_5079 k_9682 BOUND_VARIABLE_396599) BOUND_VARIABLE_274678) BOUND_VARIABLE_274679) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274679)) (ho_4954 (ho_4953 k_4952 BOUND_VARIABLE_396599) BOUND_VARIABLE_274678))))))) (let ((_let_13982 (forall ((BOUND_VARIABLE_396616 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_274665 tptp.set_nat) (BOUND_VARIABLE_274666 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9683 BOUND_VARIABLE_396616) BOUND_VARIABLE_274665) BOUND_VARIABLE_274666) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274666)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_396616) BOUND_VARIABLE_274665))))))) (let ((_let_13983 (forall ((BOUND_VARIABLE_396633 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_274652 tptp.set_o) (BOUND_VARIABLE_274653 tptp.nat)) (= (ho_4593 (ho_5000 (ho_4999 k_9684 BOUND_VARIABLE_396633) BOUND_VARIABLE_274652) BOUND_VARIABLE_274653) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274653)) (ho_4699 (ho_4698 k_4697 BOUND_VARIABLE_396633) BOUND_VARIABLE_274652))))))) (let ((_let_13984 (forall ((BOUND_VARIABLE_396650 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_274639 tptp.set_int) (BOUND_VARIABLE_274640 tptp.int)) (= (ho_5218 (ho_5229 (ho_7577 k_9685 BOUND_VARIABLE_396650) BOUND_VARIABLE_274639) BOUND_VARIABLE_274640) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_274640)) (ho_7580 (ho_7579 k_7578 BOUND_VARIABLE_396650) BOUND_VARIABLE_274639))))))) (let ((_let_13985 (forall ((BOUND_VARIABLE_396667 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_274626 tptp.set_int) (BOUND_VARIABLE_274627 Bool)) (= (ho_5235 (ho_7516 (ho_8738 k_9686 BOUND_VARIABLE_396667) BOUND_VARIABLE_274626) BOUND_VARIABLE_274627) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274627)) (ho_7523 (ho_7522 k_7521 BOUND_VARIABLE_396667) BOUND_VARIABLE_274626))))))) (let ((_let_13986 (forall ((BOUND_VARIABLE_396684 |u_(-> tptp.nat tptp.set_int)|) (BOUND_VARIABLE_274613 tptp.set_nat) (BOUND_VARIABLE_274614 tptp.int)) (= (ho_5218 (ho_7557 (ho_7585 k_9687 BOUND_VARIABLE_396684) BOUND_VARIABLE_274613) BOUND_VARIABLE_274614) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_274614)) (ho_7553 (ho_7552 k_7551 BOUND_VARIABLE_396684) BOUND_VARIABLE_274613))))))) (let ((_let_13987 (forall ((BOUND_VARIABLE_396701 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_274600 tptp.set_nat) (BOUND_VARIABLE_274601 Bool)) (= (ho_5235 (ho_7473 (ho_8511 k_9688 BOUND_VARIABLE_396701) BOUND_VARIABLE_274600) BOUND_VARIABLE_274601) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274601)) (ho_7479 (ho_7478 k_7477 BOUND_VARIABLE_396701) BOUND_VARIABLE_274600))))))) (let ((_let_13988 (forall ((BOUND_VARIABLE_396718 |u_(-> Bool tptp.set_int)|) (BOUND_VARIABLE_274587 tptp.set_o) (BOUND_VARIABLE_274588 tptp.int)) (= (ho_5218 (ho_7570 (ho_7590 k_9689 BOUND_VARIABLE_396718) BOUND_VARIABLE_274587) BOUND_VARIABLE_274588) (ho_4540 k_4539 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_274588)) (ho_7566 (ho_7565 k_7564 BOUND_VARIABLE_396718) BOUND_VARIABLE_274587))))))) (let ((_let_13989 (forall ((BOUND_VARIABLE_396735 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_274574 tptp.set_o) (BOUND_VARIABLE_274575 Bool)) (= (ho_5235 (ho_5234 (ho_8518 k_9690 BOUND_VARIABLE_396735) BOUND_VARIABLE_274574) BOUND_VARIABLE_274575) (ho_4540 k_4539 (ho_6210 (ho_6209 k_6208 (ho_5237 k_5236 BOUND_VARIABLE_274575)) (ho_7493 (ho_7492 k_7491 BOUND_VARIABLE_396735) BOUND_VARIABLE_274574))))))) (let ((_let_13990 (forall ((BOUND_VARIABLE_274568 tptp.int)) (= BOUND_VARIABLE_274568 (ho_4914 k_9691 BOUND_VARIABLE_274568))))) (let ((_let_13991 (forall ((BOUND_VARIABLE_274560 tptp.nat) (BOUND_VARIABLE_274561 tptp.nat)) (= (ho_4518 (ho_4517 k_6664 BOUND_VARIABLE_274560) BOUND_VARIABLE_274561) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_274561) BOUND_VARIABLE_274560))))) (let ((_let_13992 (forall ((BOUND_VARIABLE_274542 tptp.set_set_nat) (BOUND_VARIABLE_274543 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274543)) (ho_6952 (ho_6951 k_6950 k_6475) BOUND_VARIABLE_274542))) (ho_4593 (ho_5067 k_9692 BOUND_VARIABLE_274542) BOUND_VARIABLE_274543))))) (let ((_let_13993 (forall ((BOUND_VARIABLE_274532 tptp.set_set_nat) (BOUND_VARIABLE_274533 tptp.nat)) (= (ho_4593 (ho_5067 k_9693 BOUND_VARIABLE_274532) BOUND_VARIABLE_274533) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274533)) BOUND_VARIABLE_274532)))))) (let ((_let_13994 (forall ((BOUND_VARIABLE_274527 tptp.nat)) (= BOUND_VARIABLE_274527 (ho_4855 k_9694 BOUND_VARIABLE_274527))))) (let ((_let_13995 (forall ((BOUND_VARIABLE_274522 tptp.int)) (= BOUND_VARIABLE_274522 (ho_4914 k_9695 BOUND_VARIABLE_274522))))) (let ((_let_13996 (forall ((BOUND_VARIABLE_274504 tptp.set_set_nat) (BOUND_VARIABLE_274505 tptp.nat)) (= (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274505)) (ho_6952 (ho_6951 k_6950 k_6476) BOUND_VARIABLE_274504))) (ho_4593 (ho_5067 k_9696 BOUND_VARIABLE_274504) BOUND_VARIABLE_274505))))) (let ((_let_13997 (forall ((BOUND_VARIABLE_274494 tptp.set_set_nat) (BOUND_VARIABLE_274495 tptp.nat)) (= (ho_4593 (ho_5067 k_9697 BOUND_VARIABLE_274494) BOUND_VARIABLE_274495) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_274495)) BOUND_VARIABLE_274494)))))) (let ((_let_13998 (forall ((BOUND_VARIABLE_274489 tptp.nat)) (= BOUND_VARIABLE_274489 (ho_4855 k_9698 BOUND_VARIABLE_274489))))) (let ((_let_13999 (forall ((BOUND_VARIABLE_274455 tptp.set_nat) (BOUND_VARIABLE_274456 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_274456)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6477 BOUND_VARIABLE_274455)) BOUND_VARIABLE_274455))) (ho_4575 (ho_4758 k_9699 BOUND_VARIABLE_274455) BOUND_VARIABLE_274456))))) (let ((_let_14000 (forall ((BOUND_VARIABLE_274421 tptp.set_int) (BOUND_VARIABLE_274422 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_274422)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6478 BOUND_VARIABLE_274421)) BOUND_VARIABLE_274421))) (ho_4599 (ho_4924 k_9700 BOUND_VARIABLE_274421) BOUND_VARIABLE_274422))))) (let ((_let_14001 (forall ((BOUND_VARIABLE_274387 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_274388 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_274388)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6479 BOUND_VARIABLE_274387)) BOUND_VARIABLE_274387))) (ho_4544 (ho_4543 k_9701 BOUND_VARIABLE_274387) BOUND_VARIABLE_274388))))) (let ((_let_14002 (forall ((BOUND_VARIABLE_274359 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_274360 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6480 BOUND_VARIABLE_274360)) BOUND_VARIABLE_274359)) (ho_6325 (ho_9117 k_9702 BOUND_VARIABLE_274359) BOUND_VARIABLE_274360))))) (let ((_let_14003 (forall ((BOUND_VARIABLE_274353 tptp.set_o) (BOUND_VARIABLE_274354 Bool)) (= BOUND_VARIABLE_274353 (ho_6018 (ho_6021 k_9703 BOUND_VARIABLE_274353) BOUND_VARIABLE_274354))))) (let ((_let_14004 (forall ((BOUND_VARIABLE_274347 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274348 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_274347 (ho_5643 (ho_5678 k_9704 BOUND_VARIABLE_274347) BOUND_VARIABLE_274348))))) (let ((_let_14005 (forall ((BOUND_VARIABLE_274341 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_274342 tptp.produc3843707927480180839at_nat)) (= BOUND_VARIABLE_274341 (ho_5121 (ho_9706 k_9705 BOUND_VARIABLE_274341) BOUND_VARIABLE_274342))))) (let ((_let_14006 (forall ((BOUND_VARIABLE_396907 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_396906 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_274326 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274327 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9707 BOUND_VARIABLE_396907) BOUND_VARIABLE_396906) BOUND_VARIABLE_274326) BOUND_VARIABLE_274327) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_396907 BOUND_VARIABLE_274326) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_396906 B4) BOUND_VARIABLE_274327))))))))) (let ((_let_14007 (forall ((BOUND_VARIABLE_396930 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_396929 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_274309 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274310 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9708 BOUND_VARIABLE_396930) BOUND_VARIABLE_396929) BOUND_VARIABLE_274309) BOUND_VARIABLE_274310) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_396930 BOUND_VARIABLE_274309) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_396929 B4) BOUND_VARIABLE_274310))))))))) (let ((_let_14008 (forall ((BOUND_VARIABLE_396953 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_396952 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_274292 tptp.int) (BOUND_VARIABLE_274293 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9709 BOUND_VARIABLE_396953) BOUND_VARIABLE_396952) BOUND_VARIABLE_274292) BOUND_VARIABLE_274293) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_396953 BOUND_VARIABLE_274292) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_396952 B4) BOUND_VARIABLE_274293))))))))) (let ((_let_14009 (forall ((BOUND_VARIABLE_396976 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_396975 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_274275 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274276 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9710 BOUND_VARIABLE_396976) BOUND_VARIABLE_396975) BOUND_VARIABLE_274275) BOUND_VARIABLE_274276) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_396976 BOUND_VARIABLE_274275) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_396975 B4) BOUND_VARIABLE_274276))))))))) (let ((_let_14010 (forall ((BOUND_VARIABLE_396999 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_396998 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_274258 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274259 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9711 BOUND_VARIABLE_396999) BOUND_VARIABLE_396998) BOUND_VARIABLE_274258) BOUND_VARIABLE_274259) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_396999 BOUND_VARIABLE_274258) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_396998 B4) BOUND_VARIABLE_274259))))))))) (let ((_let_14011 (forall ((BOUND_VARIABLE_397022 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397021 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_274241 tptp.int) (BOUND_VARIABLE_274242 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9712 BOUND_VARIABLE_397022) BOUND_VARIABLE_397021) BOUND_VARIABLE_274241) BOUND_VARIABLE_274242) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397022 BOUND_VARIABLE_274241) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397021 B4) BOUND_VARIABLE_274242))))))))) (let ((_let_14012 (forall ((BOUND_VARIABLE_397072 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_397071 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397041 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397040 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397054 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397053 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 (ho_6483 (ho_6482 k_6481 BOUND_VARIABLE_397072) BOUND_VARIABLE_397071)) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397054) BOUND_VARIABLE_397053) (ho_9715 (ho_9714 k_9713 BOUND_VARIABLE_397041) BOUND_VARIABLE_397040))) (ho_9729 (ho_9728 (ho_9727 (ho_9726 (ho_9725 (ho_9724 k_9723 BOUND_VARIABLE_397072) BOUND_VARIABLE_397071) BOUND_VARIABLE_397041) BOUND_VARIABLE_397040) BOUND_VARIABLE_397054) BOUND_VARIABLE_397053))))) (let ((_let_14013 (forall ((BOUND_VARIABLE_397133 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397132 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397131 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397130 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_9730 BOUND_VARIABLE_397133) BOUND_VARIABLE_397132) BOUND_VARIABLE_397131) BOUND_VARIABLE_397130) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_397133) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397131) BOUND_VARIABLE_397130) BOUND_VARIABLE_397132)))))) (let ((_let_14014 (forall ((BOUND_VARIABLE_397162 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397161 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397160 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397159 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397158 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397157 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9726 (ho_9734 (ho_9733 k_9732 BOUND_VARIABLE_397162) BOUND_VARIABLE_397161) BOUND_VARIABLE_397160) BOUND_VARIABLE_397159) BOUND_VARIABLE_397158) BOUND_VARIABLE_397157) (ho_9722 (ho_9721 k_9720 (ho_9737 (ho_9736 k_9735 BOUND_VARIABLE_397162) BOUND_VARIABLE_397161)) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397158) BOUND_VARIABLE_397157) (ho_9715 (ho_9714 k_9713 BOUND_VARIABLE_397160) BOUND_VARIABLE_397159))))))) (let ((_let_14015 (forall ((BOUND_VARIABLE_397206 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397205 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397204 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397203 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_9738 BOUND_VARIABLE_397206) BOUND_VARIABLE_397205) BOUND_VARIABLE_397204) BOUND_VARIABLE_397203) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_397206) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397204) BOUND_VARIABLE_397203) BOUND_VARIABLE_397205)))))) (let ((_let_14016 (forall ((BOUND_VARIABLE_397225 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397224 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_274132 tptp.int) (BOUND_VARIABLE_274133 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9739 BOUND_VARIABLE_397225) BOUND_VARIABLE_397224) BOUND_VARIABLE_274132) BOUND_VARIABLE_274133) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397225 BOUND_VARIABLE_274132) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397224 B4) BOUND_VARIABLE_274133))))))))) (let ((_let_14017 (forall ((BOUND_VARIABLE_397248 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397247 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_274115 tptp.int) (BOUND_VARIABLE_274116 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9740 BOUND_VARIABLE_397248) BOUND_VARIABLE_397247) BOUND_VARIABLE_274115) BOUND_VARIABLE_274116) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397248 BOUND_VARIABLE_274115) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397247 B4) BOUND_VARIABLE_274116))))))))) (let ((_let_14018 (forall ((BOUND_VARIABLE_397298 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397297 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397267 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397266 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397280 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397279 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9750 (ho_9749 k_9748 (ho_6487 (ho_6486 k_6485 BOUND_VARIABLE_397298) BOUND_VARIABLE_397297)) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_397280) BOUND_VARIABLE_397279) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_397267) BOUND_VARIABLE_397266))) (ho_9757 (ho_9756 (ho_9755 (ho_9754 (ho_9753 (ho_9752 k_9751 BOUND_VARIABLE_397298) BOUND_VARIABLE_397297) BOUND_VARIABLE_397267) BOUND_VARIABLE_397266) BOUND_VARIABLE_397280) BOUND_VARIABLE_397279))))) (let ((_let_14019 (forall ((BOUND_VARIABLE_397359 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397358 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397357 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397356 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_9758 BOUND_VARIABLE_397359) BOUND_VARIABLE_397358) BOUND_VARIABLE_397357) BOUND_VARIABLE_397356) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_397359) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_397357) BOUND_VARIABLE_397356) BOUND_VARIABLE_397358)))))) (let ((_let_14020 (forall ((BOUND_VARIABLE_397418 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397417 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397416 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397415 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_9770 BOUND_VARIABLE_397418) BOUND_VARIABLE_397417) BOUND_VARIABLE_397416) BOUND_VARIABLE_397415) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_397418) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_397416) BOUND_VARIABLE_397415) BOUND_VARIABLE_397417)))))) (let ((_let_14021 (forall ((BOUND_VARIABLE_397447 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397446 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397445 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397444 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397443 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397442 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9775 (ho_9774 (ho_9773 k_9772 BOUND_VARIABLE_397447) BOUND_VARIABLE_397446) BOUND_VARIABLE_397445) BOUND_VARIABLE_397444) BOUND_VARIABLE_397443) BOUND_VARIABLE_397442) (ho_9769 (ho_9768 k_9767 (ho_7125 (ho_7124 k_9776 BOUND_VARIABLE_397447) BOUND_VARIABLE_397446)) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_397443) BOUND_VARIABLE_397442) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_397445) BOUND_VARIABLE_397444))))))) (let ((_let_14022 (forall ((BOUND_VARIABLE_397487 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397486 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397485 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397484 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_9777 BOUND_VARIABLE_397487) BOUND_VARIABLE_397486) BOUND_VARIABLE_397485) BOUND_VARIABLE_397484) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_397487) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_397485) BOUND_VARIABLE_397484) BOUND_VARIABLE_397486)))))) (let ((_let_14023 (forall ((BOUND_VARIABLE_397508 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397507 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397506 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397505 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_9778 BOUND_VARIABLE_397508) BOUND_VARIABLE_397507) BOUND_VARIABLE_397506) BOUND_VARIABLE_397505) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_397508) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_397506) BOUND_VARIABLE_397505) BOUND_VARIABLE_397507)))))) (let ((_let_14024 (forall ((BOUND_VARIABLE_397536 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397533 |u_(-> tptp.code_integer tptp.int Bool)|) (BOUND_VARIABLE_397531 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397530 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397529 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397528 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9775 (ho_9782 (ho_9781 k_9780 BOUND_VARIABLE_397536) BOUND_VARIABLE_397533) BOUND_VARIABLE_397531) BOUND_VARIABLE_397530) BOUND_VARIABLE_397529) BOUND_VARIABLE_397528) (ho_9769 (ho_9768 k_9767 (ho_9785 (ho_9784 k_9783 BOUND_VARIABLE_397536) BOUND_VARIABLE_397533)) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_397529) BOUND_VARIABLE_397528) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_397531) BOUND_VARIABLE_397530))))))) (let ((_let_14025 (forall ((BOUND_VARIABLE_397580 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397579 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397578 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397577 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_9786 BOUND_VARIABLE_397580) BOUND_VARIABLE_397579) BOUND_VARIABLE_397578) BOUND_VARIABLE_397577) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_397580) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_397578) BOUND_VARIABLE_397577) BOUND_VARIABLE_397579)))))) (let ((_let_14026 (forall ((BOUND_VARIABLE_397605 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397604 |u_(-> tptp.code_integer tptp.code_integer Bool)|) (BOUND_VARIABLE_397603 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397602 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397601 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397600 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9754 (ho_9789 (ho_9788 k_9787 BOUND_VARIABLE_397605) BOUND_VARIABLE_397604) BOUND_VARIABLE_397603) BOUND_VARIABLE_397602) BOUND_VARIABLE_397601) BOUND_VARIABLE_397600) (ho_9750 (ho_9749 k_9748 (ho_9792 (ho_9791 k_9790 BOUND_VARIABLE_397605) BOUND_VARIABLE_397604)) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_397601) BOUND_VARIABLE_397600) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_397603) BOUND_VARIABLE_397602))))))) (let ((_let_14027 (forall ((BOUND_VARIABLE_397649 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397648 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397647 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397646 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_9793 BOUND_VARIABLE_397649) BOUND_VARIABLE_397648) BOUND_VARIABLE_397647) BOUND_VARIABLE_397646) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_397649) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_397647) BOUND_VARIABLE_397646) BOUND_VARIABLE_397648)))))) (let ((_let_14028 (forall ((BOUND_VARIABLE_397668 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_397667 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_273916 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273917 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9794 BOUND_VARIABLE_397668) BOUND_VARIABLE_397667) BOUND_VARIABLE_273916) BOUND_VARIABLE_273917) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_397668 BOUND_VARIABLE_273916) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_397667 B4) BOUND_VARIABLE_273917))))))))) (let ((_let_14029 (forall ((BOUND_VARIABLE_397691 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_397690 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_273899 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273900 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9795 BOUND_VARIABLE_397691) BOUND_VARIABLE_397690) BOUND_VARIABLE_273899) BOUND_VARIABLE_273900) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_397691 BOUND_VARIABLE_273899) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_397690 B4) BOUND_VARIABLE_273900))))))))) (let ((_let_14030 (forall ((BOUND_VARIABLE_397714 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397713 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_273882 tptp.int) (BOUND_VARIABLE_273883 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9796 BOUND_VARIABLE_397714) BOUND_VARIABLE_397713) BOUND_VARIABLE_273882) BOUND_VARIABLE_273883) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397714 BOUND_VARIABLE_273882) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397713 B4) BOUND_VARIABLE_273883))))))))) (let ((_let_14031 (forall ((BOUND_VARIABLE_397737 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_397736 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_273865 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273866 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9797 BOUND_VARIABLE_397737) BOUND_VARIABLE_397736) BOUND_VARIABLE_273865) BOUND_VARIABLE_273866) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_397737 BOUND_VARIABLE_273865) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_397736 B4) BOUND_VARIABLE_273866))))))))) (let ((_let_14032 (forall ((BOUND_VARIABLE_397760 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_397759 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_273848 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273849 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9798 BOUND_VARIABLE_397760) BOUND_VARIABLE_397759) BOUND_VARIABLE_273848) BOUND_VARIABLE_273849) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_397760 BOUND_VARIABLE_273848) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_397759 B4) BOUND_VARIABLE_273849))))))))) (let ((_let_14033 (forall ((BOUND_VARIABLE_397783 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397782 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_273831 tptp.int) (BOUND_VARIABLE_273832 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9799 BOUND_VARIABLE_397783) BOUND_VARIABLE_397782) BOUND_VARIABLE_273831) BOUND_VARIABLE_273832) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397783 BOUND_VARIABLE_273831) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397782 B4) BOUND_VARIABLE_273832))))))))) (let ((_let_14034 (forall ((BOUND_VARIABLE_397811 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_397810 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397802 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397801 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397806 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397805 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 (ho_6483 (ho_6482 k_6489 BOUND_VARIABLE_397811) BOUND_VARIABLE_397810)) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397806) BOUND_VARIABLE_397805) (ho_9715 (ho_9714 k_9713 BOUND_VARIABLE_397802) BOUND_VARIABLE_397801))) (ho_9729 (ho_9728 (ho_9727 (ho_9726 (ho_9725 (ho_9724 k_9800 BOUND_VARIABLE_397811) BOUND_VARIABLE_397810) BOUND_VARIABLE_397802) BOUND_VARIABLE_397801) BOUND_VARIABLE_397806) BOUND_VARIABLE_397805))))) (let ((_let_14035 (forall ((BOUND_VARIABLE_397839 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397838 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397837 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397836 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_9801 BOUND_VARIABLE_397839) BOUND_VARIABLE_397838) BOUND_VARIABLE_397837) BOUND_VARIABLE_397836) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_397839) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397837) BOUND_VARIABLE_397836) BOUND_VARIABLE_397838)))))) (let ((_let_14036 (forall ((BOUND_VARIABLE_397864 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397863 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397862 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397861 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397860 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397859 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9726 (ho_9734 (ho_9733 k_9802 BOUND_VARIABLE_397864) BOUND_VARIABLE_397863) BOUND_VARIABLE_397862) BOUND_VARIABLE_397861) BOUND_VARIABLE_397860) BOUND_VARIABLE_397859) (ho_9722 (ho_9721 k_9720 (ho_9737 (ho_9736 k_9735 BOUND_VARIABLE_397864) BOUND_VARIABLE_397863)) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397860) BOUND_VARIABLE_397859) (ho_9715 (ho_9714 k_9713 BOUND_VARIABLE_397862) BOUND_VARIABLE_397861))))))) (let ((_let_14037 (forall ((BOUND_VARIABLE_397891 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_397890 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_397889 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_397888 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_9803 BOUND_VARIABLE_397891) BOUND_VARIABLE_397890) BOUND_VARIABLE_397889) BOUND_VARIABLE_397888) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_397891) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_397889) BOUND_VARIABLE_397888) BOUND_VARIABLE_397890)))))) (let ((_let_14038 (forall ((BOUND_VARIABLE_397910 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397909 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_273722 tptp.int) (BOUND_VARIABLE_273723 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9804 BOUND_VARIABLE_397910) BOUND_VARIABLE_397909) BOUND_VARIABLE_273722) BOUND_VARIABLE_273723) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397910 BOUND_VARIABLE_273722) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397909 B4) BOUND_VARIABLE_273723))))))))) (let ((_let_14039 (forall ((BOUND_VARIABLE_397933 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397932 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_273705 tptp.int) (BOUND_VARIABLE_273706 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9805 BOUND_VARIABLE_397933) BOUND_VARIABLE_397932) BOUND_VARIABLE_273705) BOUND_VARIABLE_273706) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_397933 BOUND_VARIABLE_273705) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_397932 B4) BOUND_VARIABLE_273706))))))))) (let ((_let_14040 (forall ((BOUND_VARIABLE_397961 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397960 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_397952 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397951 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397956 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397955 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9750 (ho_9749 k_9748 (ho_6487 (ho_6486 k_6490 BOUND_VARIABLE_397961) BOUND_VARIABLE_397960)) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_397956) BOUND_VARIABLE_397955) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_397952) BOUND_VARIABLE_397951))) (ho_9757 (ho_9756 (ho_9755 (ho_9754 (ho_9753 (ho_9752 k_9806 BOUND_VARIABLE_397961) BOUND_VARIABLE_397960) BOUND_VARIABLE_397952) BOUND_VARIABLE_397951) BOUND_VARIABLE_397956) BOUND_VARIABLE_397955))))) (let ((_let_14041 (forall ((BOUND_VARIABLE_397989 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_397988 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_397987 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_397986 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_9807 BOUND_VARIABLE_397989) BOUND_VARIABLE_397988) BOUND_VARIABLE_397987) BOUND_VARIABLE_397986) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_397989) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_397987) BOUND_VARIABLE_397986) BOUND_VARIABLE_397988)))))) (let ((_let_14042 (forall ((BOUND_VARIABLE_398010 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_398009 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398008 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398007 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_9808 BOUND_VARIABLE_398010) BOUND_VARIABLE_398009) BOUND_VARIABLE_398008) BOUND_VARIABLE_398007) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_398010) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_398008) BOUND_VARIABLE_398007) BOUND_VARIABLE_398009)))))) (let ((_let_14043 (forall ((BOUND_VARIABLE_398035 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_398034 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_398033 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398032 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398031 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398030 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9775 (ho_9774 (ho_9773 k_9809 BOUND_VARIABLE_398035) BOUND_VARIABLE_398034) BOUND_VARIABLE_398033) BOUND_VARIABLE_398032) BOUND_VARIABLE_398031) BOUND_VARIABLE_398030) (ho_9769 (ho_9768 k_9767 (ho_7125 (ho_7124 k_9776 BOUND_VARIABLE_398035) BOUND_VARIABLE_398034)) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_398031) BOUND_VARIABLE_398030) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_398033) BOUND_VARIABLE_398032))))))) (let ((_let_14044 (forall ((BOUND_VARIABLE_398062 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_398061 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398060 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398059 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_9810 BOUND_VARIABLE_398062) BOUND_VARIABLE_398061) BOUND_VARIABLE_398060) BOUND_VARIABLE_398059) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_398062) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_398060) BOUND_VARIABLE_398059) BOUND_VARIABLE_398061)))))) (let ((_let_14045 (forall ((BOUND_VARIABLE_398083 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_398082 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398081 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398080 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_9811 BOUND_VARIABLE_398083) BOUND_VARIABLE_398082) BOUND_VARIABLE_398081) BOUND_VARIABLE_398080) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_398083) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_398081) BOUND_VARIABLE_398080) BOUND_VARIABLE_398082)))))) (let ((_let_14046 (forall ((BOUND_VARIABLE_398108 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_398107 |u_(-> tptp.code_integer tptp.int Bool)|) (BOUND_VARIABLE_398106 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398105 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398104 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398103 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9775 (ho_9782 (ho_9781 k_9812 BOUND_VARIABLE_398108) BOUND_VARIABLE_398107) BOUND_VARIABLE_398106) BOUND_VARIABLE_398105) BOUND_VARIABLE_398104) BOUND_VARIABLE_398103) (ho_9769 (ho_9768 k_9767 (ho_9785 (ho_9784 k_9783 BOUND_VARIABLE_398108) BOUND_VARIABLE_398107)) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_398104) BOUND_VARIABLE_398103) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_398106) BOUND_VARIABLE_398105))))))) (let ((_let_14047 (forall ((BOUND_VARIABLE_398135 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_398134 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398133 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398132 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_9813 BOUND_VARIABLE_398135) BOUND_VARIABLE_398134) BOUND_VARIABLE_398133) BOUND_VARIABLE_398132) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_398135) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_398133) BOUND_VARIABLE_398132) BOUND_VARIABLE_398134)))))) (let ((_let_14048 (forall ((BOUND_VARIABLE_398160 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_398159 |u_(-> tptp.code_integer tptp.code_integer Bool)|) (BOUND_VARIABLE_398158 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398157 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398156 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398155 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9754 (ho_9789 (ho_9788 k_9814 BOUND_VARIABLE_398160) BOUND_VARIABLE_398159) BOUND_VARIABLE_398158) BOUND_VARIABLE_398157) BOUND_VARIABLE_398156) BOUND_VARIABLE_398155) (ho_9750 (ho_9749 k_9748 (ho_9792 (ho_9791 k_9790 BOUND_VARIABLE_398160) BOUND_VARIABLE_398159)) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_398156) BOUND_VARIABLE_398155) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_398158) BOUND_VARIABLE_398157))))))) (let ((_let_14049 (forall ((BOUND_VARIABLE_398187 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_398186 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_398185 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_398184 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_9815 BOUND_VARIABLE_398187) BOUND_VARIABLE_398186) BOUND_VARIABLE_398185) BOUND_VARIABLE_398184) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_398187) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_398185) BOUND_VARIABLE_398184) BOUND_VARIABLE_398186)))))) (let ((_let_14050 (forall ((BOUND_VARIABLE_273497 tptp.set_nat) (BOUND_VARIABLE_273498 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_273498)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6491 BOUND_VARIABLE_273497)) tptp.bot_bo3957492148770167129t_unit))) (ho_4593 (ho_4762 k_9816 BOUND_VARIABLE_273497) BOUND_VARIABLE_273498))))) (let ((_let_14051 (forall ((BOUND_VARIABLE_273472 tptp.set_nat) (BOUND_VARIABLE_273473 tptp.set_Product_unit) (BOUND_VARIABLE_273474 tptp.nat)) (= (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_273474)) (ho_4945 (ho_4944 k_4943 (ho_5669 k_6492 BOUND_VARIABLE_273472)) BOUND_VARIABLE_273473))) (ho_4593 (ho_5009 (ho_7450 k_9817 BOUND_VARIABLE_273472) BOUND_VARIABLE_273473) BOUND_VARIABLE_273474))))) (let ((_let_14052 (forall ((BOUND_VARIABLE_273448 tptp.set_int) (BOUND_VARIABLE_273449 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_273449)) (ho_7553 (ho_7552 k_7551 (ho_6144 k_6493 BOUND_VARIABLE_273448)) (ho_4845 k_4844 k_4852)))) (ho_5218 (ho_5229 k_9818 BOUND_VARIABLE_273448) BOUND_VARIABLE_273449))))) (let ((_let_14053 (forall ((BOUND_VARIABLE_273423 tptp.set_int) (BOUND_VARIABLE_273424 tptp.set_nat) (BOUND_VARIABLE_273425 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_273425)) (ho_7553 (ho_7552 k_7551 (ho_6144 k_6494 BOUND_VARIABLE_273423)) BOUND_VARIABLE_273424))) (ho_5218 (ho_7557 (ho_8787 k_9819 BOUND_VARIABLE_273423) BOUND_VARIABLE_273424) BOUND_VARIABLE_273425))))) (let ((_let_14054 (forall ((BOUND_VARIABLE_273399 tptp.set_int) (BOUND_VARIABLE_273400 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_273400)) (ho_7566 (ho_7565 k_7564 (ho_6148 k_6495 BOUND_VARIABLE_273399)) tptp.bot_bot_set_o))) (ho_5218 (ho_5229 k_9820 BOUND_VARIABLE_273399) BOUND_VARIABLE_273400))))) (let ((_let_14055 (forall ((BOUND_VARIABLE_273374 tptp.set_int) (BOUND_VARIABLE_273375 tptp.set_o) (BOUND_VARIABLE_273376 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_273376)) (ho_7566 (ho_7565 k_7564 (ho_6148 k_6496 BOUND_VARIABLE_273374)) BOUND_VARIABLE_273375))) (ho_5218 (ho_7570 (ho_8793 k_9821 BOUND_VARIABLE_273374) BOUND_VARIABLE_273375) BOUND_VARIABLE_273376))))) (let ((_let_14056 (forall ((BOUND_VARIABLE_273350 tptp.set_int) (BOUND_VARIABLE_273351 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_273351)) (ho_8712 (ho_8711 k_8710 (ho_6152 k_6497 BOUND_VARIABLE_273350)) tptp.bot_bo3957492148770167129t_unit))) (ho_5218 (ho_5229 k_9822 BOUND_VARIABLE_273350) BOUND_VARIABLE_273351))))) (let ((_let_14057 (forall ((BOUND_VARIABLE_273324 tptp.set_int) (BOUND_VARIABLE_273325 tptp.set_Product_unit) (BOUND_VARIABLE_273326 tptp.int)) (= (ho_4540 k_5068 (ho_6196 (ho_6195 k_6194 (ho_5231 k_5230 BOUND_VARIABLE_273326)) (ho_8712 (ho_8711 k_8710 (ho_6152 k_6498 BOUND_VARIABLE_273324)) BOUND_VARIABLE_273325))) (ho_5218 (ho_8716 (ho_8799 k_9823 BOUND_VARIABLE_273324) BOUND_VARIABLE_273325) BOUND_VARIABLE_273326))))) (let ((_let_14058 (forall ((BOUND_VARIABLE_273318 tptp.set_rat) (BOUND_VARIABLE_273319 tptp.nat)) (= BOUND_VARIABLE_273318 (ho_7561 (ho_8803 k_9824 BOUND_VARIABLE_273318) BOUND_VARIABLE_273319))))) (let ((_let_14059 (forall ((BOUND_VARIABLE_273312 tptp.set_rat) (BOUND_VARIABLE_273313 tptp.nat)) (= BOUND_VARIABLE_273312 (ho_7561 (ho_8803 k_9825 BOUND_VARIABLE_273312) BOUND_VARIABLE_273313))))) (let ((_let_14060 (forall ((BOUND_VARIABLE_273306 tptp.set_rat) (BOUND_VARIABLE_273307 Bool)) (= BOUND_VARIABLE_273306 (ho_7574 (ho_8809 k_9826 BOUND_VARIABLE_273306) BOUND_VARIABLE_273307))))) (let ((_let_14061 (forall ((BOUND_VARIABLE_273300 tptp.set_rat) (BOUND_VARIABLE_273301 Bool)) (= BOUND_VARIABLE_273300 (ho_7574 (ho_8809 k_9827 BOUND_VARIABLE_273300) BOUND_VARIABLE_273301))))) (let ((_let_14062 (forall ((BOUND_VARIABLE_273294 tptp.set_rat) (BOUND_VARIABLE_273295 tptp.product_unit)) (= BOUND_VARIABLE_273294 (ho_7364 (ho_8813 k_9828 BOUND_VARIABLE_273294) BOUND_VARIABLE_273295))))) (let ((_let_14063 (forall ((BOUND_VARIABLE_273288 tptp.set_rat) (BOUND_VARIABLE_273289 tptp.product_unit)) (= BOUND_VARIABLE_273288 (ho_7364 (ho_8813 k_9829 BOUND_VARIABLE_273288) BOUND_VARIABLE_273289))))) (let ((_let_14064 (forall ((BOUND_VARIABLE_273282 tptp.set_char) (BOUND_VARIABLE_273283 tptp.nat)) (= BOUND_VARIABLE_273282 (ho_8815 (ho_8818 k_9830 BOUND_VARIABLE_273282) BOUND_VARIABLE_273283))))) (let ((_let_14065 (forall ((BOUND_VARIABLE_273276 tptp.set_char) (BOUND_VARIABLE_273277 tptp.nat)) (= BOUND_VARIABLE_273276 (ho_8815 (ho_8818 k_9831 BOUND_VARIABLE_273276) BOUND_VARIABLE_273277))))) (let ((_let_14066 (forall ((BOUND_VARIABLE_273270 tptp.set_char) (BOUND_VARIABLE_273271 Bool)) (= BOUND_VARIABLE_273270 (ho_8823 (ho_8826 k_9832 BOUND_VARIABLE_273270) BOUND_VARIABLE_273271))))) (let ((_let_14067 (forall ((BOUND_VARIABLE_273264 tptp.set_char) (BOUND_VARIABLE_273265 Bool)) (= BOUND_VARIABLE_273264 (ho_8823 (ho_8826 k_9833 BOUND_VARIABLE_273264) BOUND_VARIABLE_273265))))) (let ((_let_14068 (forall ((BOUND_VARIABLE_273258 tptp.set_char) (BOUND_VARIABLE_273259 tptp.product_unit)) (= BOUND_VARIABLE_273258 (ho_8828 (ho_8831 k_9834 BOUND_VARIABLE_273258) BOUND_VARIABLE_273259))))) (let ((_let_14069 (forall ((BOUND_VARIABLE_273252 tptp.set_char) (BOUND_VARIABLE_273253 tptp.product_unit)) (= BOUND_VARIABLE_273252 (ho_8828 (ho_8831 k_9835 BOUND_VARIABLE_273252) BOUND_VARIABLE_273253))))) (let ((_let_14070 (forall ((BOUND_VARIABLE_273246 Bool) (BOUND_VARIABLE_273247 tptp.nat)) (= BOUND_VARIABLE_273246 (ho_4593 (ho_5004 k_9836 BOUND_VARIABLE_273246) BOUND_VARIABLE_273247))))) (let ((_let_14071 (forall ((BOUND_VARIABLE_273240 tptp.product_unit) (BOUND_VARIABLE_273241 tptp.nat)) (= BOUND_VARIABLE_273240 (ho_4880 (ho_9303 k_9837 BOUND_VARIABLE_273240) BOUND_VARIABLE_273241))))) (let ((_let_14072 (forall ((BOUND_VARIABLE_273234 tptp.int) (BOUND_VARIABLE_273235 tptp.nat)) (= BOUND_VARIABLE_273234 (ho_4925 (ho_7159 k_9838 BOUND_VARIABLE_273234) BOUND_VARIABLE_273235))))) (let ((_let_14073 (forall ((BOUND_VARIABLE_273228 tptp.rat) (BOUND_VARIABLE_273229 tptp.nat)) (= BOUND_VARIABLE_273228 (ho_6357 (ho_9308 k_9839 BOUND_VARIABLE_273228) BOUND_VARIABLE_273229))))) (let ((_let_14074 (forall ((BOUND_VARIABLE_273222 tptp.nat) (BOUND_VARIABLE_273223 tptp.rat)) (= BOUND_VARIABLE_273222 (ho_6790 (ho_7166 k_9840 BOUND_VARIABLE_273222) BOUND_VARIABLE_273223))))) (let ((_let_14075 (forall ((BOUND_VARIABLE_273216 Bool) (BOUND_VARIABLE_273217 tptp.rat)) (= BOUND_VARIABLE_273216 (ho_7184 (ho_7188 k_9841 BOUND_VARIABLE_273216) BOUND_VARIABLE_273217))))) (let ((_let_14076 (forall ((BOUND_VARIABLE_273210 tptp.product_unit) (BOUND_VARIABLE_273211 tptp.rat)) (= BOUND_VARIABLE_273210 (ho_7194 (ho_7193 k_9842 BOUND_VARIABLE_273210) BOUND_VARIABLE_273211))))) (let ((_let_14077 (forall ((BOUND_VARIABLE_273204 tptp.nat) (BOUND_VARIABLE_273205 tptp.char)) (= BOUND_VARIABLE_273204 (ho_6811 (ho_7208 k_9843 BOUND_VARIABLE_273204) BOUND_VARIABLE_273205))))) (let ((_let_14078 (forall ((BOUND_VARIABLE_273198 Bool) (BOUND_VARIABLE_273199 tptp.char)) (= BOUND_VARIABLE_273198 (ho_7226 (ho_7230 k_9844 BOUND_VARIABLE_273198) BOUND_VARIABLE_273199))))) (let ((_let_14079 (forall ((BOUND_VARIABLE_273192 tptp.product_unit) (BOUND_VARIABLE_273193 tptp.char)) (= BOUND_VARIABLE_273192 (ho_7236 (ho_7235 k_9845 BOUND_VARIABLE_273192) BOUND_VARIABLE_273193))))) (let ((_let_14080 (forall ((BOUND_VARIABLE_398475 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_273156 tptp.set_nat) (BOUND_VARIABLE_273157 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_273157)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6499 BOUND_VARIABLE_398475)) BOUND_VARIABLE_273156))) (ho_4575 (ho_4758 (ho_5290 k_9846 BOUND_VARIABLE_398475) BOUND_VARIABLE_273156) BOUND_VARIABLE_273157))))) (let ((_let_14081 (forall ((BOUND_VARIABLE_398496 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_273143 tptp.set_nat) (BOUND_VARIABLE_273144 tptp.nat)) (= (ho_4593 (ho_4762 (ho_4761 k_9847 BOUND_VARIABLE_398496) BOUND_VARIABLE_273143) BOUND_VARIABLE_273144) (ho_4540 k_4539 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_273144)) (ho_4765 (ho_4764 k_4763 BOUND_VARIABLE_398496) BOUND_VARIABLE_273143))))))) (let ((_let_14082 (forall ((BOUND_VARIABLE_273129 tptp.set_ref_a) (BOUND_VARIABLE_398513 |u_(-> tptp.ref_a tptp.set_he8644174446132254637t_unit)|) (BOUND_VARIABLE_273131 tptp.ref_a)) (= (ho_9851 (ho_9850 (ho_9849 k_9848 BOUND_VARIABLE_273129) BOUND_VARIABLE_398513) BOUND_VARIABLE_273131) (and (ho_9854 (ho_9853 k_9852 BOUND_VARIABLE_273131) BOUND_VARIABLE_273129) (not (= tptp.bot_bo3686245532977126937t_unit (ho_6960 BOUND_VARIABLE_398513 BOUND_VARIABLE_273131)))))))) (let ((_let_14083 (forall ((BOUND_VARIABLE_398545 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_273093 tptp.set_nat) (BOUND_VARIABLE_273094 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_273094)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6500 BOUND_VARIABLE_398545)) BOUND_VARIABLE_273093))) (ho_4575 (ho_4758 (ho_5290 k_9855 BOUND_VARIABLE_398545) BOUND_VARIABLE_273093) BOUND_VARIABLE_273094))))) (let ((_let_14084 (forall ((BOUND_VARIABLE_273074 tptp.set_nat) (BOUND_VARIABLE_398563 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_273076 tptp.nat)) (= (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_273076) BOUND_VARIABLE_273074) (not (= (ho_4845 k_4844 k_4852) (ho_4551 BOUND_VARIABLE_398563 BOUND_VARIABLE_273076)))) (ho_4593 (ho_4992 (ho_7784 k_9856 BOUND_VARIABLE_273074) BOUND_VARIABLE_398563) BOUND_VARIABLE_273076))))) (let ((_let_14085 (forall ((BOUND_VARIABLE_273056 tptp.set_int) (BOUND_VARIABLE_398580 |u_(-> tptp.int tptp.set_nat)|) (BOUND_VARIABLE_273058 tptp.int)) (= (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_273058) BOUND_VARIABLE_273056) (not (= (ho_4845 k_4844 k_4852) (ho_4946 BOUND_VARIABLE_398580 BOUND_VARIABLE_273058)))) (ho_5218 (ho_9859 (ho_9858 k_9857 BOUND_VARIABLE_273056) BOUND_VARIABLE_398580) BOUND_VARIABLE_273058))))) (let ((_let_14086 (forall ((BOUND_VARIABLE_273038 tptp.set_o) (BOUND_VARIABLE_398605 |u_(-> Bool tptp.set_nat)|) (BOUND_VARIABLE_273040 Bool)) (= (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_273040) BOUND_VARIABLE_273038) (not (= (ho_4845 k_4844 k_4852) (ho_4556 BOUND_VARIABLE_398605 BOUND_VARIABLE_273040)))) (ho_5235 (ho_9862 (ho_9861 k_9860 BOUND_VARIABLE_273038) BOUND_VARIABLE_398605) BOUND_VARIABLE_273040))))) (let ((_let_14087 (forall ((BOUND_VARIABLE_273025 tptp.set_nat) (BOUND_VARIABLE_398633 |u_(-> tptp.nat tptp.set_o)|) (BOUND_VARIABLE_273027 tptp.nat)) (= (ho_4593 (ho_9865 (ho_9864 k_9863 BOUND_VARIABLE_273025) BOUND_VARIABLE_398633) BOUND_VARIABLE_273027) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_273027) BOUND_VARIABLE_273025) (not (= tptp.bot_bot_set_o (ho_6011 BOUND_VARIABLE_398633 BOUND_VARIABLE_273027)))))))) (let ((_let_14088 (forall ((BOUND_VARIABLE_273012 tptp.set_int) (BOUND_VARIABLE_398658 |u_(-> tptp.int tptp.set_o)|) (BOUND_VARIABLE_273014 tptp.int)) (= (ho_5218 (ho_9868 (ho_9867 k_9866 BOUND_VARIABLE_273012) BOUND_VARIABLE_398658) BOUND_VARIABLE_273014) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_273014) BOUND_VARIABLE_273012) (not (= tptp.bot_bot_set_o (ho_6121 BOUND_VARIABLE_398658 BOUND_VARIABLE_273014)))))))) (let ((_let_14089 (forall ((BOUND_VARIABLE_272999 tptp.set_o) (BOUND_VARIABLE_398683 |u_(-> Bool tptp.set_o)|) (BOUND_VARIABLE_273001 Bool)) (= (ho_5235 (ho_8561 (ho_8560 k_9869 BOUND_VARIABLE_272999) BOUND_VARIABLE_398683) BOUND_VARIABLE_273001) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_273001) BOUND_VARIABLE_272999) (not (= tptp.bot_bot_set_o (ho_6018 BOUND_VARIABLE_398683 BOUND_VARIABLE_273001)))))))) (let ((_let_14090 (forall ((BOUND_VARIABLE_272986 tptp.set_nat) (BOUND_VARIABLE_398700 |u_(-> tptp.nat tptp.set_Product_unit)|) (BOUND_VARIABLE_272988 tptp.nat)) (= (ho_4593 (ho_9872 (ho_9871 k_9870 BOUND_VARIABLE_272986) BOUND_VARIABLE_398700) BOUND_VARIABLE_272988) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_272988) BOUND_VARIABLE_272986) (not (= tptp.bot_bo3957492148770167129t_unit (ho_8512 BOUND_VARIABLE_398700 BOUND_VARIABLE_272988)))))))) (let ((_let_14091 (forall ((BOUND_VARIABLE_272973 tptp.set_int) (BOUND_VARIABLE_398725 |u_(-> tptp.int tptp.set_Product_unit)|) (BOUND_VARIABLE_272975 tptp.int)) (= (ho_5218 (ho_9875 (ho_9874 k_9873 BOUND_VARIABLE_272973) BOUND_VARIABLE_398725) BOUND_VARIABLE_272975) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_272975) BOUND_VARIABLE_272973) (not (= tptp.bot_bo3957492148770167129t_unit (ho_6125 BOUND_VARIABLE_398725 BOUND_VARIABLE_272975)))))))) (let ((_let_14092 (forall ((BOUND_VARIABLE_272960 tptp.set_o) (BOUND_VARIABLE_398750 |u_(-> Bool tptp.set_Product_unit)|) (BOUND_VARIABLE_272962 Bool)) (= (ho_5235 (ho_9878 (ho_9877 k_9876 BOUND_VARIABLE_272960) BOUND_VARIABLE_398750) BOUND_VARIABLE_272962) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_272962) BOUND_VARIABLE_272960) (not (= tptp.bot_bo3957492148770167129t_unit (ho_6101 BOUND_VARIABLE_398750 BOUND_VARIABLE_272962)))))))) (let ((_let_14093 (forall ((BOUND_VARIABLE_272954 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272955 tptp.product_unit)) (= BOUND_VARIABLE_272954 (ho_5651 (ho_5684 k_9879 BOUND_VARIABLE_272954) BOUND_VARIABLE_272955))))) (let ((_let_14094 (forall ((BOUND_VARIABLE_272948 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272949 tptp.product_unit)) (= BOUND_VARIABLE_272948 (ho_5651 (ho_5684 k_9880 BOUND_VARIABLE_272948) BOUND_VARIABLE_272949))))) (let ((_let_14095 (forall ((BOUND_VARIABLE_272913 tptp.set_nat) (BOUND_VARIABLE_272914 tptp.set_nat) (BOUND_VARIABLE_272915 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272915)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6501 BOUND_VARIABLE_272913)) BOUND_VARIABLE_272914))) (ho_4575 (ho_4758 (ho_5149 k_9881 BOUND_VARIABLE_272913) BOUND_VARIABLE_272914) BOUND_VARIABLE_272915))))) (let ((_let_14096 (forall ((BOUND_VARIABLE_272878 tptp.set_nat) (BOUND_VARIABLE_272879 tptp.set_nat) (BOUND_VARIABLE_272880 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272880)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6502 BOUND_VARIABLE_272878)) BOUND_VARIABLE_272879))) (ho_4575 (ho_4758 (ho_5149 k_9882 BOUND_VARIABLE_272878) BOUND_VARIABLE_272879) BOUND_VARIABLE_272880))))) (let ((_let_14097 (forall ((BOUND_VARIABLE_272872 tptp.set_o) (BOUND_VARIABLE_272873 tptp.nat)) (= BOUND_VARIABLE_272872 (ho_6011 (ho_6014 k_9883 BOUND_VARIABLE_272872) BOUND_VARIABLE_272873))))) (let ((_let_14098 (forall ((BOUND_VARIABLE_272866 tptp.set_o) (BOUND_VARIABLE_272867 tptp.nat)) (= BOUND_VARIABLE_272866 (ho_6011 (ho_6014 k_9884 BOUND_VARIABLE_272866) BOUND_VARIABLE_272867))))) (let ((_let_14099 (forall ((BOUND_VARIABLE_272860 tptp.set_Product_unit) (BOUND_VARIABLE_272861 tptp.nat)) (= BOUND_VARIABLE_272860 (ho_8512 (ho_8515 k_9885 BOUND_VARIABLE_272860) BOUND_VARIABLE_272861))))) (let ((_let_14100 (forall ((BOUND_VARIABLE_272854 tptp.set_Product_unit) (BOUND_VARIABLE_272855 tptp.nat)) (= BOUND_VARIABLE_272854 (ho_8512 (ho_8515 k_9886 BOUND_VARIABLE_272854) BOUND_VARIABLE_272855))))) (let ((_let_14101 (forall ((BOUND_VARIABLE_272848 tptp.set_nat) (BOUND_VARIABLE_272849 Bool)) (= BOUND_VARIABLE_272848 (ho_4556 (ho_4654 k_9887 BOUND_VARIABLE_272848) BOUND_VARIABLE_272849))))) (let ((_let_14102 (forall ((BOUND_VARIABLE_272842 tptp.set_nat) (BOUND_VARIABLE_272843 Bool)) (= BOUND_VARIABLE_272842 (ho_4556 (ho_4654 k_9888 BOUND_VARIABLE_272842) BOUND_VARIABLE_272843))))) (let ((_let_14103 (forall ((BOUND_VARIABLE_272836 tptp.set_o) (BOUND_VARIABLE_272837 Bool)) (= BOUND_VARIABLE_272836 (ho_6018 (ho_6021 k_9889 BOUND_VARIABLE_272836) BOUND_VARIABLE_272837))))) (let ((_let_14104 (forall ((BOUND_VARIABLE_272830 tptp.set_o) (BOUND_VARIABLE_272831 Bool)) (= BOUND_VARIABLE_272830 (ho_6018 (ho_6021 k_9890 BOUND_VARIABLE_272830) BOUND_VARIABLE_272831))))) (let ((_let_14105 (forall ((BOUND_VARIABLE_272824 tptp.set_Product_unit) (BOUND_VARIABLE_272825 Bool)) (= BOUND_VARIABLE_272824 (ho_6101 (ho_8524 k_9891 BOUND_VARIABLE_272824) BOUND_VARIABLE_272825))))) (let ((_let_14106 (forall ((BOUND_VARIABLE_272818 tptp.set_Product_unit) (BOUND_VARIABLE_272819 Bool)) (= BOUND_VARIABLE_272818 (ho_6101 (ho_8524 k_9892 BOUND_VARIABLE_272818) BOUND_VARIABLE_272819))))) (let ((_let_14107 (forall ((BOUND_VARIABLE_272812 tptp.set_nat) (BOUND_VARIABLE_272813 tptp.product_unit)) (= BOUND_VARIABLE_272812 (ho_4639 (ho_5669 k_9893 BOUND_VARIABLE_272812) BOUND_VARIABLE_272813))))) (let ((_let_14108 (forall ((BOUND_VARIABLE_272806 tptp.set_nat) (BOUND_VARIABLE_272807 tptp.product_unit)) (= BOUND_VARIABLE_272806 (ho_4639 (ho_5669 k_9894 BOUND_VARIABLE_272806) BOUND_VARIABLE_272807))))) (let ((_let_14109 (forall ((BOUND_VARIABLE_272800 tptp.set_o) (BOUND_VARIABLE_272801 tptp.product_unit)) (= BOUND_VARIABLE_272800 (ho_6023 (ho_6026 k_9895 BOUND_VARIABLE_272800) BOUND_VARIABLE_272801))))) (let ((_let_14110 (forall ((BOUND_VARIABLE_272794 tptp.set_o) (BOUND_VARIABLE_272795 tptp.product_unit)) (= BOUND_VARIABLE_272794 (ho_6023 (ho_6026 k_9896 BOUND_VARIABLE_272794) BOUND_VARIABLE_272795))))) (let ((_let_14111 (forall ((BOUND_VARIABLE_272788 tptp.set_Product_unit) (BOUND_VARIABLE_272789 tptp.product_unit)) (= BOUND_VARIABLE_272788 (ho_6114 (ho_8534 k_9897 BOUND_VARIABLE_272788) BOUND_VARIABLE_272789))))) (let ((_let_14112 (forall ((BOUND_VARIABLE_272782 tptp.set_Product_unit) (BOUND_VARIABLE_272783 tptp.product_unit)) (= BOUND_VARIABLE_272782 (ho_6114 (ho_8534 k_9898 BOUND_VARIABLE_272782) BOUND_VARIABLE_272783))))) (let ((_let_14113 (forall ((BOUND_VARIABLE_272776 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272777 tptp.product_unit)) (= BOUND_VARIABLE_272776 (ho_5651 (ho_5684 k_9899 BOUND_VARIABLE_272776) BOUND_VARIABLE_272777))))) (let ((_let_14114 (forall ((BOUND_VARIABLE_272770 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272771 tptp.product_unit)) (= BOUND_VARIABLE_272770 (ho_5651 (ho_5684 k_9900 BOUND_VARIABLE_272770) BOUND_VARIABLE_272771))))) (let ((_let_14115 (forall ((BOUND_VARIABLE_272735 tptp.set_nat) (BOUND_VARIABLE_272736 tptp.set_nat) (BOUND_VARIABLE_272737 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272737)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6503 BOUND_VARIABLE_272735)) BOUND_VARIABLE_272736))) (ho_4575 (ho_4758 (ho_5149 k_9901 BOUND_VARIABLE_272735) BOUND_VARIABLE_272736) BOUND_VARIABLE_272737))))) (let ((_let_14116 (forall ((BOUND_VARIABLE_272700 tptp.set_nat) (BOUND_VARIABLE_272701 tptp.set_nat) (BOUND_VARIABLE_272702 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272702)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6504 BOUND_VARIABLE_272700)) BOUND_VARIABLE_272701))) (ho_4575 (ho_4758 (ho_5149 k_9902 BOUND_VARIABLE_272700) BOUND_VARIABLE_272701) BOUND_VARIABLE_272702))))) (let ((_let_14117 (forall ((BOUND_VARIABLE_272694 tptp.set_o) (BOUND_VARIABLE_272695 tptp.nat)) (= BOUND_VARIABLE_272694 (ho_6011 (ho_6014 k_9903 BOUND_VARIABLE_272694) BOUND_VARIABLE_272695))))) (let ((_let_14118 (forall ((BOUND_VARIABLE_272688 tptp.set_o) (BOUND_VARIABLE_272689 tptp.nat)) (= BOUND_VARIABLE_272688 (ho_6011 (ho_6014 k_9904 BOUND_VARIABLE_272688) BOUND_VARIABLE_272689))))) (let ((_let_14119 (forall ((BOUND_VARIABLE_272682 tptp.set_Product_unit) (BOUND_VARIABLE_272683 tptp.nat)) (= BOUND_VARIABLE_272682 (ho_8512 (ho_8515 k_9905 BOUND_VARIABLE_272682) BOUND_VARIABLE_272683))))) (let ((_let_14120 (forall ((BOUND_VARIABLE_272676 tptp.set_Product_unit) (BOUND_VARIABLE_272677 tptp.nat)) (= BOUND_VARIABLE_272676 (ho_8512 (ho_8515 k_9906 BOUND_VARIABLE_272676) BOUND_VARIABLE_272677))))) (let ((_let_14121 (forall ((BOUND_VARIABLE_272670 tptp.set_nat) (BOUND_VARIABLE_272671 Bool)) (= BOUND_VARIABLE_272670 (ho_4556 (ho_4654 k_9907 BOUND_VARIABLE_272670) BOUND_VARIABLE_272671))))) (let ((_let_14122 (forall ((BOUND_VARIABLE_272664 tptp.set_nat) (BOUND_VARIABLE_272665 Bool)) (= BOUND_VARIABLE_272664 (ho_4556 (ho_4654 k_9908 BOUND_VARIABLE_272664) BOUND_VARIABLE_272665))))) (let ((_let_14123 (forall ((BOUND_VARIABLE_272658 tptp.set_o) (BOUND_VARIABLE_272659 Bool)) (= BOUND_VARIABLE_272658 (ho_6018 (ho_6021 k_9909 BOUND_VARIABLE_272658) BOUND_VARIABLE_272659))))) (let ((_let_14124 (forall ((BOUND_VARIABLE_272652 tptp.set_o) (BOUND_VARIABLE_272653 Bool)) (= BOUND_VARIABLE_272652 (ho_6018 (ho_6021 k_9910 BOUND_VARIABLE_272652) BOUND_VARIABLE_272653))))) (let ((_let_14125 (forall ((BOUND_VARIABLE_272646 tptp.set_Product_unit) (BOUND_VARIABLE_272647 Bool)) (= BOUND_VARIABLE_272646 (ho_6101 (ho_8524 k_9911 BOUND_VARIABLE_272646) BOUND_VARIABLE_272647))))) (let ((_let_14126 (forall ((BOUND_VARIABLE_272640 tptp.set_Product_unit) (BOUND_VARIABLE_272641 Bool)) (= BOUND_VARIABLE_272640 (ho_6101 (ho_8524 k_9912 BOUND_VARIABLE_272640) BOUND_VARIABLE_272641))))) (let ((_let_14127 (forall ((BOUND_VARIABLE_272634 tptp.set_nat) (BOUND_VARIABLE_272635 tptp.product_unit)) (= BOUND_VARIABLE_272634 (ho_4639 (ho_5669 k_9913 BOUND_VARIABLE_272634) BOUND_VARIABLE_272635))))) (let ((_let_14128 (forall ((BOUND_VARIABLE_272628 tptp.set_nat) (BOUND_VARIABLE_272629 tptp.product_unit)) (= BOUND_VARIABLE_272628 (ho_4639 (ho_5669 k_9914 BOUND_VARIABLE_272628) BOUND_VARIABLE_272629))))) (let ((_let_14129 (forall ((BOUND_VARIABLE_272622 tptp.set_o) (BOUND_VARIABLE_272623 tptp.product_unit)) (= BOUND_VARIABLE_272622 (ho_6023 (ho_6026 k_9915 BOUND_VARIABLE_272622) BOUND_VARIABLE_272623))))) (let ((_let_14130 (forall ((BOUND_VARIABLE_272616 tptp.set_o) (BOUND_VARIABLE_272617 tptp.product_unit)) (= BOUND_VARIABLE_272616 (ho_6023 (ho_6026 k_9916 BOUND_VARIABLE_272616) BOUND_VARIABLE_272617))))) (let ((_let_14131 (forall ((BOUND_VARIABLE_272610 tptp.set_Product_unit) (BOUND_VARIABLE_272611 tptp.product_unit)) (= BOUND_VARIABLE_272610 (ho_6114 (ho_8534 k_9917 BOUND_VARIABLE_272610) BOUND_VARIABLE_272611))))) (let ((_let_14132 (forall ((BOUND_VARIABLE_272604 tptp.set_Product_unit) (BOUND_VARIABLE_272605 tptp.product_unit)) (= BOUND_VARIABLE_272604 (ho_6114 (ho_8534 k_9918 BOUND_VARIABLE_272604) BOUND_VARIABLE_272605))))) (let ((_let_14133 (forall ((BOUND_VARIABLE_399088 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_272568 tptp.set_nat) (BOUND_VARIABLE_272569 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272569)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6505 BOUND_VARIABLE_399088)) BOUND_VARIABLE_272568))) (ho_4575 (ho_4758 (ho_5290 k_9919 BOUND_VARIABLE_399088) BOUND_VARIABLE_272568) BOUND_VARIABLE_272569))))) (let ((_let_14134 (forall ((BOUND_VARIABLE_399106 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_272531 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_272532 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_272532)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_6506 BOUND_VARIABLE_399106)) BOUND_VARIABLE_272531))) (ho_4544 (ho_4543 (ho_5164 k_9920 BOUND_VARIABLE_399106) BOUND_VARIABLE_272531) BOUND_VARIABLE_272532))))) (let ((_let_14135 (forall ((BOUND_VARIABLE_272524 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272525 tptp.product_unit)) (= BOUND_VARIABLE_272524 (ho_5651 (ho_5684 k_9921 BOUND_VARIABLE_272524) BOUND_VARIABLE_272525))))) (let ((_let_14136 (forall ((BOUND_VARIABLE_272489 tptp.set_nat) (BOUND_VARIABLE_272490 tptp.set_nat) (BOUND_VARIABLE_272491 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272491)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6507 BOUND_VARIABLE_272489)) BOUND_VARIABLE_272490))) (ho_4575 (ho_4758 (ho_5149 k_9922 BOUND_VARIABLE_272489) BOUND_VARIABLE_272490) BOUND_VARIABLE_272491))))) (let ((_let_14137 (forall ((BOUND_VARIABLE_272483 tptp.set_o) (BOUND_VARIABLE_272484 tptp.nat)) (= BOUND_VARIABLE_272483 (ho_6011 (ho_6014 k_9923 BOUND_VARIABLE_272483) BOUND_VARIABLE_272484))))) (let ((_let_14138 (forall ((BOUND_VARIABLE_272477 tptp.set_Product_unit) (BOUND_VARIABLE_272478 tptp.nat)) (= BOUND_VARIABLE_272477 (ho_8512 (ho_8515 k_9924 BOUND_VARIABLE_272477) BOUND_VARIABLE_272478))))) (let ((_let_14139 (forall ((BOUND_VARIABLE_272471 tptp.set_nat) (BOUND_VARIABLE_272472 Bool)) (= BOUND_VARIABLE_272471 (ho_4556 (ho_4654 k_9925 BOUND_VARIABLE_272471) BOUND_VARIABLE_272472))))) (let ((_let_14140 (forall ((BOUND_VARIABLE_272465 tptp.set_o) (BOUND_VARIABLE_272466 Bool)) (= BOUND_VARIABLE_272465 (ho_6018 (ho_6021 k_9926 BOUND_VARIABLE_272465) BOUND_VARIABLE_272466))))) (let ((_let_14141 (forall ((BOUND_VARIABLE_272459 tptp.set_Product_unit) (BOUND_VARIABLE_272460 Bool)) (= BOUND_VARIABLE_272459 (ho_6101 (ho_8524 k_9927 BOUND_VARIABLE_272459) BOUND_VARIABLE_272460))))) (let ((_let_14142 (forall ((BOUND_VARIABLE_272453 tptp.set_nat) (BOUND_VARIABLE_272454 tptp.product_unit)) (= BOUND_VARIABLE_272453 (ho_4639 (ho_5669 k_9928 BOUND_VARIABLE_272453) BOUND_VARIABLE_272454))))) (let ((_let_14143 (forall ((BOUND_VARIABLE_272447 tptp.set_o) (BOUND_VARIABLE_272448 tptp.product_unit)) (= BOUND_VARIABLE_272447 (ho_6023 (ho_6026 k_9929 BOUND_VARIABLE_272447) BOUND_VARIABLE_272448))))) (let ((_let_14144 (forall ((BOUND_VARIABLE_272441 tptp.set_Product_unit) (BOUND_VARIABLE_272442 tptp.product_unit)) (= BOUND_VARIABLE_272441 (ho_6114 (ho_8534 k_9930 BOUND_VARIABLE_272441) BOUND_VARIABLE_272442))))) (let ((_let_14145 (forall ((BOUND_VARIABLE_272425 tptp.set_nat) (BOUND_VARIABLE_272426 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272426)) (ho_4565 (ho_4564 k_4563 k_6511) BOUND_VARIABLE_272425))) (ho_4575 (ho_4758 k_9931 BOUND_VARIABLE_272425) BOUND_VARIABLE_272426))))) (let ((_let_14146 (forall ((BOUND_VARIABLE_272407 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_272408 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_272408)) (ho_4533 (ho_4532 k_4531 k_6508) BOUND_VARIABLE_272407))) (ho_4544 (ho_4543 k_9932 BOUND_VARIABLE_272407) BOUND_VARIABLE_272408))))) (let ((_let_14147 (forall ((BOUND_VARIABLE_272401 tptp.nat) (BOUND_VARIABLE_272402 tptp.nat)) (not (ho_4593 (ho_4511 k_4510 BOUND_VARIABLE_272401) BOUND_VARIABLE_272402))))) (let ((_let_14148 (forall ((BOUND_VARIABLE_399235 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_272366 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272366)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6509 BOUND_VARIABLE_399235)) (ho_4845 k_4844 k_4852)))) (ho_4575 (ho_9934 k_9933 BOUND_VARIABLE_399235) BOUND_VARIABLE_272366))))) (let ((_let_14149 (forall ((BOUND_VARIABLE_272359 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272360 tptp.set_Pr1261947904930325089at_nat)) (not (ho_5240 (ho_4491 k_4490 BOUND_VARIABLE_272359) BOUND_VARIABLE_272360))))) (let ((_let_14150 (forall ((BOUND_VARIABLE_399261 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_272324 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_272324)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_6510 BOUND_VARIABLE_399261)) tptp.bot_bo3083307316010499117at_nat))) (ho_4544 (ho_9936 k_9935 BOUND_VARIABLE_399261) BOUND_VARIABLE_272324))))) (let ((_let_14151 (forall ((BOUND_VARIABLE_272318 tptp.ref_a)) (= tptp.bot_bo3686245532977126937t_unit (ho_6960 k_9937 BOUND_VARIABLE_272318))))) (let ((_let_14152 (forall ((BOUND_VARIABLE_272312 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_272313 tptp.ref_a)) (= BOUND_VARIABLE_272312 (ho_6960 (ho_6959 k_9938 BOUND_VARIABLE_272312) BOUND_VARIABLE_272313))))) (let ((_let_14153 (forall ((BOUND_VARIABLE_272294 tptp.set_nat) (BOUND_VARIABLE_272295 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272295)) (ho_4565 (ho_4564 k_4563 k_6511) BOUND_VARIABLE_272294))) (ho_4575 (ho_4758 k_9939 BOUND_VARIABLE_272294) BOUND_VARIABLE_272295))))) (let ((_let_14154 (forall ((BOUND_VARIABLE_272259 tptp.set_nat) (BOUND_VARIABLE_272260 tptp.set_nat) (BOUND_VARIABLE_272261 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272261)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6512 BOUND_VARIABLE_272259)) BOUND_VARIABLE_272260))) (ho_4575 (ho_4758 (ho_5149 k_9940 BOUND_VARIABLE_272259) BOUND_VARIABLE_272260) BOUND_VARIABLE_272261))))) (let ((_let_14155 (forall ((BOUND_VARIABLE_272252 Bool)) (= (ho_4845 k_4844 k_4852) (ho_4556 k_9941 BOUND_VARIABLE_272252))))) (let ((_let_14156 (forall ((BOUND_VARIABLE_272246 tptp.set_nat) (BOUND_VARIABLE_272247 Bool)) (= BOUND_VARIABLE_272246 (ho_4556 (ho_4654 k_9942 BOUND_VARIABLE_272246) BOUND_VARIABLE_272247))))) (let ((_let_14157 (forall ((BOUND_VARIABLE_272239 tptp.product_unit)) (= (ho_4845 k_4844 k_4852) (ho_4639 k_9943 BOUND_VARIABLE_272239))))) (let ((_let_14158 (forall ((BOUND_VARIABLE_272233 tptp.set_nat) (BOUND_VARIABLE_272234 tptp.product_unit)) (= BOUND_VARIABLE_272233 (ho_4639 (ho_5669 k_9944 BOUND_VARIABLE_272233) BOUND_VARIABLE_272234))))) (let ((_let_14159 (forall ((BOUND_VARIABLE_272228 tptp.nat)) (= tptp.bot_bot_set_o (ho_6011 k_9945 BOUND_VARIABLE_272228))))) (let ((_let_14160 (forall ((BOUND_VARIABLE_272222 tptp.set_o) (BOUND_VARIABLE_272223 tptp.nat)) (= BOUND_VARIABLE_272222 (ho_6011 (ho_6014 k_9946 BOUND_VARIABLE_272222) BOUND_VARIABLE_272223))))) (let ((_let_14161 (forall ((BOUND_VARIABLE_272217 Bool)) (= tptp.bot_bot_set_o (ho_6018 k_9947 BOUND_VARIABLE_272217))))) (let ((_let_14162 (forall ((BOUND_VARIABLE_272211 tptp.set_o) (BOUND_VARIABLE_272212 Bool)) (= BOUND_VARIABLE_272211 (ho_6018 (ho_6021 k_9948 BOUND_VARIABLE_272211) BOUND_VARIABLE_272212))))) (let ((_let_14163 (forall ((BOUND_VARIABLE_272206 tptp.product_unit)) (= tptp.bot_bot_set_o (ho_6023 k_9949 BOUND_VARIABLE_272206))))) (let ((_let_14164 (forall ((BOUND_VARIABLE_272200 tptp.set_o) (BOUND_VARIABLE_272201 tptp.product_unit)) (= BOUND_VARIABLE_272200 (ho_6023 (ho_6026 k_9950 BOUND_VARIABLE_272200) BOUND_VARIABLE_272201))))) (let ((_let_14165 (forall ((BOUND_VARIABLE_272195 tptp.nat)) (= tptp.bot_bo3957492148770167129t_unit (ho_8512 k_9951 BOUND_VARIABLE_272195))))) (let ((_let_14166 (forall ((BOUND_VARIABLE_272189 tptp.set_Product_unit) (BOUND_VARIABLE_272190 tptp.nat)) (= BOUND_VARIABLE_272189 (ho_8512 (ho_8515 k_9952 BOUND_VARIABLE_272189) BOUND_VARIABLE_272190))))) (let ((_let_14167 (forall ((BOUND_VARIABLE_272184 Bool)) (= tptp.bot_bo3957492148770167129t_unit (ho_6101 k_9953 BOUND_VARIABLE_272184))))) (let ((_let_14168 (forall ((BOUND_VARIABLE_272178 tptp.set_Product_unit) (BOUND_VARIABLE_272179 Bool)) (= BOUND_VARIABLE_272178 (ho_6101 (ho_8524 k_9954 BOUND_VARIABLE_272178) BOUND_VARIABLE_272179))))) (let ((_let_14169 (forall ((BOUND_VARIABLE_272173 tptp.product_unit)) (= tptp.bot_bo3957492148770167129t_unit (ho_6114 k_9955 BOUND_VARIABLE_272173))))) (let ((_let_14170 (forall ((BOUND_VARIABLE_272167 tptp.set_Product_unit) (BOUND_VARIABLE_272168 tptp.product_unit)) (= BOUND_VARIABLE_272167 (ho_6114 (ho_8534 k_9956 BOUND_VARIABLE_272167) BOUND_VARIABLE_272168))))) (let ((_let_14171 (forall ((BOUND_VARIABLE_272161 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_272162 tptp.ref_a)) (= BOUND_VARIABLE_272161 (ho_6960 (ho_6959 k_9957 BOUND_VARIABLE_272161) BOUND_VARIABLE_272162))))) (let ((_let_14172 (forall ((BOUND_VARIABLE_272155 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_272156 tptp.ref_a)) (= BOUND_VARIABLE_272155 (ho_6960 (ho_6959 k_9958 BOUND_VARIABLE_272155) BOUND_VARIABLE_272156))))) (let ((_let_14173 (forall ((BOUND_VARIABLE_272121 tptp.set_nat) (BOUND_VARIABLE_272122 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272122)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6513 BOUND_VARIABLE_272121)) (ho_4845 k_4844 k_4852)))) (ho_4575 (ho_4758 k_9959 BOUND_VARIABLE_272121) BOUND_VARIABLE_272122))))) (let ((_let_14174 (forall ((BOUND_VARIABLE_272086 tptp.set_nat) (BOUND_VARIABLE_272087 tptp.set_nat) (BOUND_VARIABLE_272088 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_272088)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6514 BOUND_VARIABLE_272086)) BOUND_VARIABLE_272087))) (ho_4575 (ho_4758 (ho_5149 k_9960 BOUND_VARIABLE_272086) BOUND_VARIABLE_272087) BOUND_VARIABLE_272088))))) (let ((_let_14175 (forall ((BOUND_VARIABLE_272080 tptp.set_o) (BOUND_VARIABLE_272081 tptp.nat)) (= BOUND_VARIABLE_272080 (ho_6011 (ho_6014 k_9961 BOUND_VARIABLE_272080) BOUND_VARIABLE_272081))))) (let ((_let_14176 (forall ((BOUND_VARIABLE_272074 tptp.set_o) (BOUND_VARIABLE_272075 tptp.nat)) (= BOUND_VARIABLE_272074 (ho_6011 (ho_6014 k_9962 BOUND_VARIABLE_272074) BOUND_VARIABLE_272075))))) (let ((_let_14177 (forall ((BOUND_VARIABLE_272068 tptp.set_Product_unit) (BOUND_VARIABLE_272069 tptp.nat)) (= BOUND_VARIABLE_272068 (ho_8512 (ho_8515 k_9963 BOUND_VARIABLE_272068) BOUND_VARIABLE_272069))))) (let ((_let_14178 (forall ((BOUND_VARIABLE_272062 tptp.set_Product_unit) (BOUND_VARIABLE_272063 tptp.nat)) (= BOUND_VARIABLE_272062 (ho_8512 (ho_8515 k_9964 BOUND_VARIABLE_272062) BOUND_VARIABLE_272063))))) (let ((_let_14179 (forall ((BOUND_VARIABLE_272056 tptp.set_nat) (BOUND_VARIABLE_272057 Bool)) (= BOUND_VARIABLE_272056 (ho_4556 (ho_4654 k_9965 BOUND_VARIABLE_272056) BOUND_VARIABLE_272057))))) (let ((_let_14180 (forall ((BOUND_VARIABLE_272050 tptp.set_nat) (BOUND_VARIABLE_272051 Bool)) (= BOUND_VARIABLE_272050 (ho_4556 (ho_4654 k_9966 BOUND_VARIABLE_272050) BOUND_VARIABLE_272051))))) (let ((_let_14181 (forall ((BOUND_VARIABLE_272044 tptp.set_o) (BOUND_VARIABLE_272045 Bool)) (= BOUND_VARIABLE_272044 (ho_6018 (ho_6021 k_9967 BOUND_VARIABLE_272044) BOUND_VARIABLE_272045))))) (let ((_let_14182 (forall ((BOUND_VARIABLE_272038 tptp.set_o) (BOUND_VARIABLE_272039 Bool)) (= BOUND_VARIABLE_272038 (ho_6018 (ho_6021 k_9968 BOUND_VARIABLE_272038) BOUND_VARIABLE_272039))))) (let ((_let_14183 (forall ((BOUND_VARIABLE_272032 tptp.set_Product_unit) (BOUND_VARIABLE_272033 Bool)) (= BOUND_VARIABLE_272032 (ho_6101 (ho_8524 k_9969 BOUND_VARIABLE_272032) BOUND_VARIABLE_272033))))) (let ((_let_14184 (forall ((BOUND_VARIABLE_272026 tptp.set_Product_unit) (BOUND_VARIABLE_272027 Bool)) (= BOUND_VARIABLE_272026 (ho_6101 (ho_8524 k_9970 BOUND_VARIABLE_272026) BOUND_VARIABLE_272027))))) (let ((_let_14185 (forall ((BOUND_VARIABLE_272020 tptp.set_nat) (BOUND_VARIABLE_272021 tptp.product_unit)) (= BOUND_VARIABLE_272020 (ho_4639 (ho_5669 k_9971 BOUND_VARIABLE_272020) BOUND_VARIABLE_272021))))) (let ((_let_14186 (forall ((BOUND_VARIABLE_272011 tptp.nat)) (= (ho_4593 k_4852 BOUND_VARIABLE_272011) (ho_4540 k_5068 (ho_4704 (ho_4703 k_4702 (ho_4701 k_4700 BOUND_VARIABLE_272011)) (ho_4765 (ho_4764 k_4763 k_5618) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))))))) (let ((_let_14187 (forall ((BOUND_VARIABLE_272005 tptp.set_nat) (BOUND_VARIABLE_272006 tptp.product_unit)) (= BOUND_VARIABLE_272005 (ho_4639 (ho_5669 k_9972 BOUND_VARIABLE_272005) BOUND_VARIABLE_272006))))) (let ((_let_14188 (forall ((BOUND_VARIABLE_271999 tptp.set_o) (BOUND_VARIABLE_272000 tptp.product_unit)) (= BOUND_VARIABLE_271999 (ho_6023 (ho_6026 k_9973 BOUND_VARIABLE_271999) BOUND_VARIABLE_272000))))) (let ((_let_14189 (forall ((BOUND_VARIABLE_271993 tptp.set_o) (BOUND_VARIABLE_271994 tptp.product_unit)) (= BOUND_VARIABLE_271993 (ho_6023 (ho_6026 k_9974 BOUND_VARIABLE_271993) BOUND_VARIABLE_271994))))) (let ((_let_14190 (forall ((BOUND_VARIABLE_271987 tptp.set_Product_unit) (BOUND_VARIABLE_271988 tptp.product_unit)) (= BOUND_VARIABLE_271987 (ho_6114 (ho_8534 k_9975 BOUND_VARIABLE_271987) BOUND_VARIABLE_271988))))) (let ((_let_14191 (forall ((BOUND_VARIABLE_271981 tptp.set_Product_unit) (BOUND_VARIABLE_271982 tptp.product_unit)) (= BOUND_VARIABLE_271981 (ho_6114 (ho_8534 k_9976 BOUND_VARIABLE_271981) BOUND_VARIABLE_271982))))) (let ((_let_14192 (forall ((BOUND_VARIABLE_271946 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271947 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271948 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_271948)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6515 BOUND_VARIABLE_271946)) BOUND_VARIABLE_271947))) (ho_4544 (ho_4543 (ho_5152 k_9977 BOUND_VARIABLE_271946) BOUND_VARIABLE_271947) BOUND_VARIABLE_271948))))) (let ((_let_14193 (forall ((BOUND_VARIABLE_399602 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_399601 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_271931 tptp.int) (BOUND_VARIABLE_271932 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9978 BOUND_VARIABLE_399602) BOUND_VARIABLE_399601) BOUND_VARIABLE_271931) BOUND_VARIABLE_271932) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_399602 BOUND_VARIABLE_271931) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_399601 B4) BOUND_VARIABLE_271932))))))))) (let ((_let_14194 (forall ((BOUND_VARIABLE_399625 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_399624 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_271914 tptp.product_prod_nat_nat) (BOUND_VARIABLE_271915 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9979 BOUND_VARIABLE_399625) BOUND_VARIABLE_399624) BOUND_VARIABLE_271914) BOUND_VARIABLE_271915) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_399625 BOUND_VARIABLE_271914) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_399624 B4) BOUND_VARIABLE_271915))))))))) (let ((_let_14195 (forall ((BOUND_VARIABLE_399648 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_399647 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_271897 tptp.int) (BOUND_VARIABLE_271898 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_9980 BOUND_VARIABLE_399648) BOUND_VARIABLE_399647) BOUND_VARIABLE_271897) BOUND_VARIABLE_271898) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_399648 BOUND_VARIABLE_271897) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_399647 B4) BOUND_VARIABLE_271898))))))))) (let ((_let_14196 (forall ((BOUND_VARIABLE_399671 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_399670 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_271880 tptp.product_prod_nat_nat) (BOUND_VARIABLE_271881 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_9981 BOUND_VARIABLE_399671) BOUND_VARIABLE_399670) BOUND_VARIABLE_271880) BOUND_VARIABLE_271881) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_399671 BOUND_VARIABLE_271880) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_399670 B4) BOUND_VARIABLE_271881))))))))) (let ((_let_14197 (forall ((BOUND_VARIABLE_271872 tptp.set_nat) (BOUND_VARIABLE_271873 tptp.int)) (= BOUND_VARIABLE_271872 (ho_4946 (ho_7394 k_9982 BOUND_VARIABLE_271872) BOUND_VARIABLE_271873))))) (let ((_let_14198 (forall ((BOUND_VARIABLE_399699 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_271864 tptp.set_nat) (BOUND_VARIABLE_271865 tptp.int)) (= (ho_4946 (ho_7394 (ho_9984 k_9983 BOUND_VARIABLE_399699) BOUND_VARIABLE_271864) BOUND_VARIABLE_271865) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_399699) BOUND_VARIABLE_271864))))) (let ((_let_14199 (forall ((BOUND_VARIABLE_271857 tptp.set_nat) (BOUND_VARIABLE_271858 tptp.int)) (= BOUND_VARIABLE_271857 (ho_4946 (ho_7394 k_9985 BOUND_VARIABLE_271857) BOUND_VARIABLE_271858))))) (let ((_let_14200 (forall ((BOUND_VARIABLE_399723 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_271849 tptp.set_nat) (BOUND_VARIABLE_271850 tptp.int)) (= (ho_7406 (ho_7405 (ho_9987 k_9986 BOUND_VARIABLE_399723) BOUND_VARIABLE_271849) BOUND_VARIABLE_271850) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_399723) BOUND_VARIABLE_271849))))) (let ((_let_14201 (forall ((BOUND_VARIABLE_399740 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_271840 tptp.set_int) (BOUND_VARIABLE_271841 tptp.nat)) (= (ho_5594 (ho_6144 (ho_9989 k_9988 BOUND_VARIABLE_399740) BOUND_VARIABLE_271840) BOUND_VARIABLE_271841) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_399740) BOUND_VARIABLE_271840))))) (let ((_let_14202 (forall ((BOUND_VARIABLE_271804 tptp.set_int) (BOUND_VARIABLE_271805 tptp.set_int) (BOUND_VARIABLE_271806 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_271806)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6516 BOUND_VARIABLE_271804)) BOUND_VARIABLE_271805))) (ho_4599 (ho_4924 (ho_8883 k_9990 BOUND_VARIABLE_271804) BOUND_VARIABLE_271805) BOUND_VARIABLE_271806))))) (let ((_let_14203 (forall ((BOUND_VARIABLE_271798 tptp.set_nat) (BOUND_VARIABLE_271799 tptp.int)) (= BOUND_VARIABLE_271798 (ho_4946 (ho_7394 k_9991 BOUND_VARIABLE_271798) BOUND_VARIABLE_271799))))) (let ((_let_14204 (forall ((BOUND_VARIABLE_399780 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_271790 tptp.set_nat) (BOUND_VARIABLE_271791 tptp.nat)) (= (ho_5594 (ho_9994 (ho_9993 k_9992 BOUND_VARIABLE_399780) BOUND_VARIABLE_271790) BOUND_VARIABLE_271791) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_399780) BOUND_VARIABLE_271790))))) (let ((_let_14205 (forall ((BOUND_VARIABLE_271783 tptp.set_nat) (BOUND_VARIABLE_271784 tptp.int)) (= BOUND_VARIABLE_271783 (ho_4946 (ho_7394 k_9995 BOUND_VARIABLE_271783) BOUND_VARIABLE_271784))))) (let ((_let_14206 (forall ((BOUND_VARIABLE_399807 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_271775 tptp.set_nat) (BOUND_VARIABLE_271776 tptp.nat)) (= (ho_7561 (ho_9998 (ho_9997 k_9996 BOUND_VARIABLE_399807) BOUND_VARIABLE_271775) BOUND_VARIABLE_271776) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_399807) BOUND_VARIABLE_271775))))) (let ((_let_14207 (forall ((BOUND_VARIABLE_271768 tptp.set_int) (BOUND_VARIABLE_271769 tptp.nat)) (= BOUND_VARIABLE_271768 (ho_5594 (ho_6144 k_9999 BOUND_VARIABLE_271768) BOUND_VARIABLE_271769))))) (let ((_let_14208 (forall ((BOUND_VARIABLE_399834 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_271723 tptp.set_int) (BOUND_VARIABLE_399831 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_271725 tptp.set_nat) (BOUND_VARIABLE_271726 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_271726)) (ho_4899 (ho_4898 k_4897 (ho_5575 (ho_5574 k_6517 BOUND_VARIABLE_399834) BOUND_VARIABLE_271723)) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_399831) BOUND_VARIABLE_271725)))) (ho_4599 (ho_4936 (ho_7376 (ho_10002 (ho_10001 k_10000 BOUND_VARIABLE_399834) BOUND_VARIABLE_271723) BOUND_VARIABLE_399831) BOUND_VARIABLE_271725) BOUND_VARIABLE_271726))))) (let ((_let_14209 (forall ((BOUND_VARIABLE_271716 tptp.set_int) (BOUND_VARIABLE_271717 tptp.nat)) (= BOUND_VARIABLE_271716 (ho_5594 (ho_6144 k_10003 BOUND_VARIABLE_271716) BOUND_VARIABLE_271717))))) (let ((_let_14210 (forall ((BOUND_VARIABLE_399875 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_271708 tptp.set_int) (BOUND_VARIABLE_271709 tptp.int)) (= (ho_4946 (ho_7387 (ho_10005 k_10004 BOUND_VARIABLE_399875) BOUND_VARIABLE_271708) BOUND_VARIABLE_271709) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_399875) BOUND_VARIABLE_271708))))) (let ((_let_14211 (forall ((BOUND_VARIABLE_271701 tptp.set_int) (BOUND_VARIABLE_271702 tptp.nat)) (= BOUND_VARIABLE_271701 (ho_5594 (ho_6144 k_10006 BOUND_VARIABLE_271701) BOUND_VARIABLE_271702))))) (let ((_let_14212 (forall ((BOUND_VARIABLE_399899 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_271693 tptp.set_int) (BOUND_VARIABLE_271694 tptp.nat)) (= (ho_5594 (ho_6144 (ho_9989 k_10007 BOUND_VARIABLE_399899) BOUND_VARIABLE_271693) BOUND_VARIABLE_271694) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_399899) BOUND_VARIABLE_271693))))) (let ((_let_14213 (forall ((BOUND_VARIABLE_271686 tptp.set_int) (BOUND_VARIABLE_271687 tptp.nat)) (= BOUND_VARIABLE_271686 (ho_5594 (ho_6144 k_10008 BOUND_VARIABLE_271686) BOUND_VARIABLE_271687))))) (let ((_let_14214 (forall ((BOUND_VARIABLE_399919 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_271678 tptp.set_int) (BOUND_VARIABLE_271679 tptp.rat)) (= (ho_7418 (ho_10011 (ho_10010 k_10009 BOUND_VARIABLE_399919) BOUND_VARIABLE_271678) BOUND_VARIABLE_271679) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_399919) BOUND_VARIABLE_271678))))) (let ((_let_14215 (forall ((BOUND_VARIABLE_271671 tptp.set_int) (BOUND_VARIABLE_271672 tptp.nat)) (= BOUND_VARIABLE_271671 (ho_5594 (ho_6144 k_10012 BOUND_VARIABLE_271671) BOUND_VARIABLE_271672))))) (let ((_let_14216 (forall ((BOUND_VARIABLE_399946 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_271663 tptp.set_int) (BOUND_VARIABLE_271664 tptp.rat)) (= (ho_6358 (ho_10015 (ho_10014 k_10013 BOUND_VARIABLE_399946) BOUND_VARIABLE_271663) BOUND_VARIABLE_271664) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_399946) BOUND_VARIABLE_271663))))) (let ((_let_14217 (forall ((BOUND_VARIABLE_271627 tptp.set_int) (BOUND_VARIABLE_271628 tptp.set_int) (BOUND_VARIABLE_271629 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_271629)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6518 BOUND_VARIABLE_271627)) BOUND_VARIABLE_271628))) (ho_4599 (ho_4924 (ho_8883 k_10016 BOUND_VARIABLE_271627) BOUND_VARIABLE_271628) BOUND_VARIABLE_271629))))) (let ((_let_14218 (forall ((BOUND_VARIABLE_271592 tptp.set_int) (BOUND_VARIABLE_271593 tptp.set_int) (BOUND_VARIABLE_271594 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_271594)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6519 BOUND_VARIABLE_271592)) BOUND_VARIABLE_271593))) (ho_4599 (ho_4924 (ho_8883 k_10017 BOUND_VARIABLE_271592) BOUND_VARIABLE_271593) BOUND_VARIABLE_271594))))) (let ((_let_14219 (forall ((BOUND_VARIABLE_271584 tptp.nat) (BOUND_VARIABLE_271585 tptp.nat)) (= (ho_4518 (ho_4517 k_10018 BOUND_VARIABLE_271584) BOUND_VARIABLE_271585) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_271585) BOUND_VARIABLE_271584))))) (let ((_let_14220 (forall ((BOUND_VARIABLE_271549 tptp.set_nat) (BOUND_VARIABLE_271550 tptp.set_nat) (BOUND_VARIABLE_271551 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_271551)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6520 BOUND_VARIABLE_271549)) BOUND_VARIABLE_271550))) (ho_4575 (ho_4758 (ho_5149 k_10019 BOUND_VARIABLE_271549) BOUND_VARIABLE_271550) BOUND_VARIABLE_271551))))) (let ((_let_14221 (forall ((BOUND_VARIABLE_271514 tptp.set_nat) (BOUND_VARIABLE_271515 tptp.set_nat) (BOUND_VARIABLE_271516 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_271516)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6521 BOUND_VARIABLE_271514)) BOUND_VARIABLE_271515))) (ho_4575 (ho_4758 (ho_5149 k_10020 BOUND_VARIABLE_271514) BOUND_VARIABLE_271515) BOUND_VARIABLE_271516))))) (let ((_let_14222 (forall ((BOUND_VARIABLE_271506 tptp.num) (BOUND_VARIABLE_271507 tptp.nat)) (= (ho_8090 (ho_8089 k_10021 BOUND_VARIABLE_271506) BOUND_VARIABLE_271507) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_271507) BOUND_VARIABLE_271506))))) (let ((_let_14223 (forall ((BOUND_VARIABLE_271500 tptp.set_nat) (BOUND_VARIABLE_271501 tptp.num)) (= BOUND_VARIABLE_271500 (ho_10024 (ho_10023 k_10022 BOUND_VARIABLE_271500) BOUND_VARIABLE_271501))))) (let ((_let_14224 (forall ((BOUND_VARIABLE_271472 tptp.set_num) (BOUND_VARIABLE_271473 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6522 BOUND_VARIABLE_271473)) BOUND_VARIABLE_271472)) (ho_6985 (ho_8890 k_10025 BOUND_VARIABLE_271472) BOUND_VARIABLE_271473))))) (let ((_let_14225 (forall ((BOUND_VARIABLE_271464 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_271465 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 (ho_4497 k_10026 BOUND_VARIABLE_271464) BOUND_VARIABLE_271465) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_271465) BOUND_VARIABLE_271464))))) (let ((_let_14226 (forall ((BOUND_VARIABLE_271429 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271430 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271431 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_271431)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6523 BOUND_VARIABLE_271429)) BOUND_VARIABLE_271430))) (ho_4544 (ho_4543 (ho_5152 k_10027 BOUND_VARIABLE_271429) BOUND_VARIABLE_271430) BOUND_VARIABLE_271431))))) (let ((_let_14227 (forall ((BOUND_VARIABLE_271393 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271394 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271395 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_271395)) (ho_4533 (ho_4532 k_4531 (ho_4685 k_6524 BOUND_VARIABLE_271393)) BOUND_VARIABLE_271394))) (ho_4544 (ho_4543 (ho_5152 k_10028 BOUND_VARIABLE_271393) BOUND_VARIABLE_271394) BOUND_VARIABLE_271395))))) (let ((_let_14228 (forall ((BOUND_VARIABLE_271385 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_271386 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 (ho_6282 k_10029 BOUND_VARIABLE_271385) BOUND_VARIABLE_271386) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_271386) BOUND_VARIABLE_271385))))) (let ((_let_14229 (forall ((BOUND_VARIABLE_271357 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_271358 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6525 BOUND_VARIABLE_271358)) BOUND_VARIABLE_271357)) (ho_6325 (ho_9117 k_10030 BOUND_VARIABLE_271357) BOUND_VARIABLE_271358))))) (let ((_let_14230 (forall ((BOUND_VARIABLE_271329 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_271330 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6526 BOUND_VARIABLE_271330)) BOUND_VARIABLE_271329)) (ho_6325 (ho_9117 k_10031 BOUND_VARIABLE_271329) BOUND_VARIABLE_271330))))) (let ((_let_14231 (forall ((BOUND_VARIABLE_400146 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_400145 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_271320 tptp.code_integer) (BOUND_VARIABLE_271321 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_10032 BOUND_VARIABLE_400146) BOUND_VARIABLE_400145) BOUND_VARIABLE_271320) BOUND_VARIABLE_271321) (ho_5405 (ho_5413 BOUND_VARIABLE_400146 (ho_5398 BOUND_VARIABLE_400145 BOUND_VARIABLE_271320)) BOUND_VARIABLE_271321))))) (let ((_let_14232 (forall ((BOUND_VARIABLE_400163 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_400162 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_271303 tptp.product_prod_nat_nat) (BOUND_VARIABLE_271304 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_10033 BOUND_VARIABLE_400163) BOUND_VARIABLE_400162) BOUND_VARIABLE_271303) BOUND_VARIABLE_271304) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_400163 BOUND_VARIABLE_271303) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_400162 B4) BOUND_VARIABLE_271304))))))))) (let ((_let_14233 (forall ((BOUND_VARIABLE_400186 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_400185 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_271286 tptp.int) (BOUND_VARIABLE_271287 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_10034 BOUND_VARIABLE_400186) BOUND_VARIABLE_400185) BOUND_VARIABLE_271286) BOUND_VARIABLE_271287) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_400186 BOUND_VARIABLE_271286) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_400185 B4) BOUND_VARIABLE_271287))))))))) (let ((_let_14234 (forall ((BOUND_VARIABLE_400208 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_400207 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_271277 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_10035 BOUND_VARIABLE_400208) BOUND_VARIABLE_400207) BOUND_VARIABLE_271277) (ho_4891 BOUND_VARIABLE_400208 (ho_4914 BOUND_VARIABLE_400207 BOUND_VARIABLE_271277)))))) (let ((_let_14235 (forall ((BOUND_VARIABLE_400222 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_400221 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_271268 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_10036 BOUND_VARIABLE_400222) BOUND_VARIABLE_400221) BOUND_VARIABLE_271268) (ho_4855 BOUND_VARIABLE_400222 (ho_4855 BOUND_VARIABLE_400221 BOUND_VARIABLE_271268)))))) (let ((_let_14236 (forall ((BOUND_VARIABLE_400236 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_400235 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_271259 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_10037 BOUND_VARIABLE_400236) BOUND_VARIABLE_400235) BOUND_VARIABLE_271259) (ho_4855 BOUND_VARIABLE_400236 (ho_4855 BOUND_VARIABLE_400235 BOUND_VARIABLE_271259)))))) (let ((_let_14237 (forall ((BOUND_VARIABLE_400250 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_400249 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_271250 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_10038 BOUND_VARIABLE_400250) BOUND_VARIABLE_400249) BOUND_VARIABLE_271250) (ho_6671 BOUND_VARIABLE_400250 (ho_4891 BOUND_VARIABLE_400249 BOUND_VARIABLE_271250)))))) (let ((_let_14238 (forall ((BOUND_VARIABLE_400264 |u_(-> Bool Bool)|) (BOUND_VARIABLE_400263 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_271241 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10039 BOUND_VARIABLE_400264) BOUND_VARIABLE_400263) BOUND_VARIABLE_271241) (ho_5235 BOUND_VARIABLE_400264 (ho_4593 BOUND_VARIABLE_400263 BOUND_VARIABLE_271241)))))) (let ((_let_14239 (forall ((BOUND_VARIABLE_400278 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_400277 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_271232 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_10040 BOUND_VARIABLE_400278) BOUND_VARIABLE_400277) BOUND_VARIABLE_271232) (ho_4891 BOUND_VARIABLE_400278 (ho_4914 BOUND_VARIABLE_400277 BOUND_VARIABLE_271232)))))) (let ((_let_14240 (forall ((BOUND_VARIABLE_400292 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_400291 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_271223 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_10041 BOUND_VARIABLE_400292) BOUND_VARIABLE_400291) BOUND_VARIABLE_271223) (ho_6671 BOUND_VARIABLE_400292 (ho_4891 BOUND_VARIABLE_400291 BOUND_VARIABLE_271223)))))) (let ((_let_14241 (forall ((BOUND_VARIABLE_400306 |u_(-> Bool Bool)|) (BOUND_VARIABLE_400305 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_271214 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10042 BOUND_VARIABLE_400306) BOUND_VARIABLE_400305) BOUND_VARIABLE_271214) (ho_5235 BOUND_VARIABLE_400306 (ho_4593 BOUND_VARIABLE_400305 BOUND_VARIABLE_271214)))))) (let ((_let_14242 (forall ((BOUND_VARIABLE_271177 tptp.set_nat) (BOUND_VARIABLE_271178 tptp.set_nat) (BOUND_VARIABLE_271179 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_271179)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6527 BOUND_VARIABLE_271177)) BOUND_VARIABLE_271178))) (ho_4575 (ho_4758 (ho_5149 k_10043 BOUND_VARIABLE_271177) BOUND_VARIABLE_271178) BOUND_VARIABLE_271179))))) (let ((_let_14243 (forall ((BOUND_VARIABLE_271142 tptp.set_nat) (BOUND_VARIABLE_271143 tptp.set_nat) (BOUND_VARIABLE_271144 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_271144)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6528 BOUND_VARIABLE_271142)) BOUND_VARIABLE_271143))) (ho_4575 (ho_4758 (ho_5149 k_10044 BOUND_VARIABLE_271142) BOUND_VARIABLE_271143) BOUND_VARIABLE_271144))))) (let ((_let_14244 (forall ((BOUND_VARIABLE_271136 tptp.set_o) (BOUND_VARIABLE_271137 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_271136 (ho_9665 (ho_10046 k_10045 BOUND_VARIABLE_271136) BOUND_VARIABLE_271137))))) (let ((_let_14245 (forall ((BOUND_VARIABLE_271101 tptp.set_nat) (BOUND_VARIABLE_271102 tptp.set_nat) (BOUND_VARIABLE_271103 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_271103)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6529 BOUND_VARIABLE_271101)) BOUND_VARIABLE_271102))) (ho_4575 (ho_4758 (ho_5149 k_10047 BOUND_VARIABLE_271101) BOUND_VARIABLE_271102) BOUND_VARIABLE_271103))))) (let ((_let_14246 (forall ((BOUND_VARIABLE_271066 tptp.set_int) (BOUND_VARIABLE_271067 tptp.set_int) (BOUND_VARIABLE_271068 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_271068)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6530 BOUND_VARIABLE_271066)) BOUND_VARIABLE_271067))) (ho_4599 (ho_4924 (ho_8883 k_10048 BOUND_VARIABLE_271066) BOUND_VARIABLE_271067) BOUND_VARIABLE_271068))))) (let ((_let_14247 (forall ((BOUND_VARIABLE_271060 tptp.set_nat) (BOUND_VARIABLE_271061 tptp.int)) (= BOUND_VARIABLE_271060 (ho_4946 (ho_7394 k_10049 BOUND_VARIABLE_271060) BOUND_VARIABLE_271061))))) (let ((_let_14248 (forall ((BOUND_VARIABLE_271054 tptp.set_o) (BOUND_VARIABLE_271055 tptp.int)) (= BOUND_VARIABLE_271054 (ho_6121 (ho_7520 k_10050 BOUND_VARIABLE_271054) BOUND_VARIABLE_271055))))) (let ((_let_14249 (forall ((BOUND_VARIABLE_271048 tptp.set_int) (BOUND_VARIABLE_271049 tptp.nat)) (= BOUND_VARIABLE_271048 (ho_5594 (ho_6144 k_10051 BOUND_VARIABLE_271048) BOUND_VARIABLE_271049))))) (let ((_let_14250 (forall ((BOUND_VARIABLE_271042 tptp.set_o) (BOUND_VARIABLE_271043 tptp.nat)) (= BOUND_VARIABLE_271042 (ho_6011 (ho_6014 k_10052 BOUND_VARIABLE_271042) BOUND_VARIABLE_271043))))) (let ((_let_14251 (forall ((BOUND_VARIABLE_271036 tptp.set_int) (BOUND_VARIABLE_271037 Bool)) (= BOUND_VARIABLE_271036 (ho_5598 (ho_6148 k_10053 BOUND_VARIABLE_271036) BOUND_VARIABLE_271037))))) (let ((_let_14252 (forall ((BOUND_VARIABLE_271030 tptp.set_nat) (BOUND_VARIABLE_271031 Bool)) (= BOUND_VARIABLE_271030 (ho_4556 (ho_4654 k_10054 BOUND_VARIABLE_271030) BOUND_VARIABLE_271031))))) (let ((_let_14253 (forall ((BOUND_VARIABLE_271024 tptp.set_o) (BOUND_VARIABLE_271025 Bool)) (= BOUND_VARIABLE_271024 (ho_6018 (ho_6021 k_10055 BOUND_VARIABLE_271024) BOUND_VARIABLE_271025))))) (let ((_let_14254 (forall ((BOUND_VARIABLE_270989 tptp.set_nat) (BOUND_VARIABLE_270990 tptp.set_nat) (BOUND_VARIABLE_270991 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270991)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6531 BOUND_VARIABLE_270989)) BOUND_VARIABLE_270990))) (ho_4575 (ho_4758 (ho_5149 k_10056 BOUND_VARIABLE_270989) BOUND_VARIABLE_270990) BOUND_VARIABLE_270991))))) (let ((_let_14255 (forall ((BOUND_VARIABLE_270954 tptp.set_nat) (BOUND_VARIABLE_270955 tptp.set_nat) (BOUND_VARIABLE_270956 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270956)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6532 BOUND_VARIABLE_270954)) BOUND_VARIABLE_270955))) (ho_4575 (ho_4758 (ho_5149 k_10057 BOUND_VARIABLE_270954) BOUND_VARIABLE_270955) BOUND_VARIABLE_270956))))) (let ((_let_14256 (forall ((BOUND_VARIABLE_400471 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270918 tptp.set_nat) (BOUND_VARIABLE_270919 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270919)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6533 BOUND_VARIABLE_400471)) BOUND_VARIABLE_270918))) (ho_4575 (ho_4758 (ho_5290 k_10058 BOUND_VARIABLE_400471) BOUND_VARIABLE_270918) BOUND_VARIABLE_270919))))) (let ((_let_14257 (forall ((BOUND_VARIABLE_400489 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270881 tptp.set_nat) (BOUND_VARIABLE_270882 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270882)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6534 BOUND_VARIABLE_400489)) BOUND_VARIABLE_270881))) (ho_4575 (ho_4758 (ho_5290 k_10059 BOUND_VARIABLE_400489) BOUND_VARIABLE_270881) BOUND_VARIABLE_270882))))) (let ((_let_14258 (forall ((BOUND_VARIABLE_400511 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_400510 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_270869 tptp.product_prod_int_int)) (let ((_let_1 (ho_5531 k_5530 BOUND_VARIABLE_270869))) (= (ho_4599 (ho_6245 (ho_10061 k_10060 BOUND_VARIABLE_400511) BOUND_VARIABLE_400510) BOUND_VARIABLE_270869) (and (ho_5218 BOUND_VARIABLE_400511 _let_1) (ho_5218 (ho_5250 BOUND_VARIABLE_400510 _let_1) (ho_5531 k_5532 BOUND_VARIABLE_270869)))))))) (let ((_let_14259 (forall ((BOUND_VARIABLE_400531 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_400529 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_270828 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_270828)) (ho_4899 (ho_4898 k_4897 (ho_6536 k_6535 BOUND_VARIABLE_400531)) (ho_5339 k_5338 BOUND_VARIABLE_400529)))) (ho_4599 (ho_5360 (ho_10063 k_10062 BOUND_VARIABLE_400531) BOUND_VARIABLE_400529) BOUND_VARIABLE_270828))))) (let ((_let_14260 (forall ((BOUND_VARIABLE_400558 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_400557 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_270816 tptp.nat) (BOUND_VARIABLE_270817 tptp.nat)) (= (ho_4593 (ho_4511 (ho_9715 (ho_10065 k_10064 BOUND_VARIABLE_400558) BOUND_VARIABLE_400557) BOUND_VARIABLE_270816) BOUND_VARIABLE_270817) (and (ho_4593 BOUND_VARIABLE_400558 BOUND_VARIABLE_270816) (ho_4593 (ho_4511 BOUND_VARIABLE_400557 BOUND_VARIABLE_270816) BOUND_VARIABLE_270817)))))) (let ((_let_14261 (forall ((BOUND_VARIABLE_400577 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_400575 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_270775 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270775)) (ho_4565 (ho_4564 k_4563 (ho_6538 k_6537 BOUND_VARIABLE_400577)) (ho_4845 k_4844 BOUND_VARIABLE_400575)))) (ho_4575 (ho_5363 (ho_10067 k_10066 BOUND_VARIABLE_400577) BOUND_VARIABLE_400575) BOUND_VARIABLE_270775))))) (let ((_let_14262 (forall ((BOUND_VARIABLE_400604 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_400603 |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_270763 tptp.product_prod_int_int) (BOUND_VARIABLE_270764 tptp.product_prod_int_int)) (= (ho_4599 (ho_6822 (ho_10070 (ho_10069 k_10068 BOUND_VARIABLE_400604) BOUND_VARIABLE_400603) BOUND_VARIABLE_270763) BOUND_VARIABLE_270764) (and (ho_4599 BOUND_VARIABLE_400604 BOUND_VARIABLE_270763) (ho_4599 (ho_6822 BOUND_VARIABLE_400603 BOUND_VARIABLE_270763) BOUND_VARIABLE_270764)))))) (let ((_let_14263 (forall ((BOUND_VARIABLE_400627 |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_270754 tptp.product_prod_int_int)) (= (ho_10073 (ho_10072 k_10071 BOUND_VARIABLE_400627) BOUND_VARIABLE_270754) (ho_4601 k_4600 (ho_6822 BOUND_VARIABLE_400627 BOUND_VARIABLE_270754)))))) (let ((_let_14264 (forall ((BOUND_VARIABLE_400651 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_400648 |u_(-> tptp.product_prod_int_int tptp.nat Bool)|) (BOUND_VARIABLE_270743 tptp.product_prod_int_int) (BOUND_VARIABLE_270744 tptp.nat)) (= (ho_4593 (ho_10074 (ho_10077 (ho_10076 k_10075 BOUND_VARIABLE_400651) BOUND_VARIABLE_400648) BOUND_VARIABLE_270743) BOUND_VARIABLE_270744) (and (ho_4599 BOUND_VARIABLE_400651 BOUND_VARIABLE_270743) (ho_4593 (ho_10074 BOUND_VARIABLE_400648 BOUND_VARIABLE_270743) BOUND_VARIABLE_270744)))))) (let ((_let_14265 (forall ((BOUND_VARIABLE_400674 |u_(-> tptp.product_prod_int_int tptp.nat Bool)|) (BOUND_VARIABLE_270734 tptp.product_prod_int_int)) (= (ho_10080 (ho_10079 k_10078 BOUND_VARIABLE_400674) BOUND_VARIABLE_270734) (ho_4845 k_4844 (ho_10074 BOUND_VARIABLE_400674 BOUND_VARIABLE_270734)))))) (let ((_let_14266 (forall ((BOUND_VARIABLE_400698 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_400695 |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_270723 tptp.product_prod_int_int) (BOUND_VARIABLE_270724 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_10081 (ho_10084 (ho_10083 k_10082 BOUND_VARIABLE_400698) BOUND_VARIABLE_400695) BOUND_VARIABLE_270723) BOUND_VARIABLE_270724) (and (ho_4599 BOUND_VARIABLE_400698 BOUND_VARIABLE_270723) (ho_4575 (ho_10081 BOUND_VARIABLE_400695 BOUND_VARIABLE_270723) BOUND_VARIABLE_270724)))))) (let ((_let_14267 (forall ((BOUND_VARIABLE_400721 |u_(-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_270714 tptp.product_prod_int_int)) (= (ho_10087 (ho_10086 k_10085 BOUND_VARIABLE_400721) BOUND_VARIABLE_270714) (ho_4515 k_4514 (ho_10081 BOUND_VARIABLE_400721 BOUND_VARIABLE_270714)))))) (let ((_let_14268 (forall ((BOUND_VARIABLE_400745 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_400742 |u_(-> tptp.nat tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_270703 tptp.nat) (BOUND_VARIABLE_270704 tptp.product_prod_int_int)) (= (ho_4599 (ho_10088 (ho_10091 (ho_10090 k_10089 BOUND_VARIABLE_400745) BOUND_VARIABLE_400742) BOUND_VARIABLE_270703) BOUND_VARIABLE_270704) (and (ho_4593 BOUND_VARIABLE_400745 BOUND_VARIABLE_270703) (ho_4599 (ho_10088 BOUND_VARIABLE_400742 BOUND_VARIABLE_270703) BOUND_VARIABLE_270704)))))) (let ((_let_14269 (forall ((BOUND_VARIABLE_400768 |u_(-> tptp.nat tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_270694 tptp.nat)) (= (ho_10094 (ho_10093 k_10092 BOUND_VARIABLE_400768) BOUND_VARIABLE_270694) (ho_4601 k_4600 (ho_10088 BOUND_VARIABLE_400768 BOUND_VARIABLE_270694)))))) (let ((_let_14270 (forall ((BOUND_VARIABLE_400789 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_400788 |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_270683 tptp.nat) (BOUND_VARIABLE_270684 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_10097 (ho_10096 k_10095 BOUND_VARIABLE_400789) BOUND_VARIABLE_400788) BOUND_VARIABLE_270683) BOUND_VARIABLE_270684) (and (ho_4593 BOUND_VARIABLE_400789 BOUND_VARIABLE_270683) (ho_4575 (ho_4574 BOUND_VARIABLE_400788 BOUND_VARIABLE_270683) BOUND_VARIABLE_270684)))))) (let ((_let_14271 (forall ((BOUND_VARIABLE_400812 |u_(-> tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_270674 tptp.nat)) (= (ho_4524 (ho_10099 k_10098 BOUND_VARIABLE_400812) BOUND_VARIABLE_270674) (ho_4515 k_4514 (ho_4574 BOUND_VARIABLE_400812 BOUND_VARIABLE_270674)))))) (let ((_let_14272 (forall ((BOUND_VARIABLE_400833 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_400830 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_270663 tptp.product_prod_nat_nat) (BOUND_VARIABLE_270664 tptp.product_prod_int_int)) (= (ho_4599 (ho_10100 (ho_10103 (ho_10102 k_10101 BOUND_VARIABLE_400833) BOUND_VARIABLE_400830) BOUND_VARIABLE_270663) BOUND_VARIABLE_270664) (and (ho_4575 BOUND_VARIABLE_400833 BOUND_VARIABLE_270663) (ho_4599 (ho_10100 BOUND_VARIABLE_400830 BOUND_VARIABLE_270663) BOUND_VARIABLE_270664)))))) (let ((_let_14273 (forall ((BOUND_VARIABLE_400856 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_270654 tptp.product_prod_nat_nat)) (= (ho_10106 (ho_10105 k_10104 BOUND_VARIABLE_400856) BOUND_VARIABLE_270654) (ho_4601 k_4600 (ho_10100 BOUND_VARIABLE_400856 BOUND_VARIABLE_270654)))))) (let ((_let_14274 (forall ((BOUND_VARIABLE_400877 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_400876 |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (BOUND_VARIABLE_270643 tptp.product_prod_nat_nat) (BOUND_VARIABLE_270644 tptp.nat)) (= (ho_4593 (ho_4990 (ho_10109 (ho_10108 k_10107 BOUND_VARIABLE_400877) BOUND_VARIABLE_400876) BOUND_VARIABLE_270643) BOUND_VARIABLE_270644) (and (ho_4575 BOUND_VARIABLE_400877 BOUND_VARIABLE_270643) (ho_4593 (ho_4990 BOUND_VARIABLE_400876 BOUND_VARIABLE_270643) BOUND_VARIABLE_270644)))))) (let ((_let_14275 (forall ((BOUND_VARIABLE_400900 |u_(-> tptp.product_prod_nat_nat tptp.nat Bool)|) (BOUND_VARIABLE_270634 tptp.product_prod_nat_nat)) (= (ho_4628 (ho_10111 k_10110 BOUND_VARIABLE_400900) BOUND_VARIABLE_270634) (ho_4845 k_4844 (ho_4990 BOUND_VARIABLE_400900 BOUND_VARIABLE_270634)))))) (let ((_let_14276 (forall ((BOUND_VARIABLE_400918 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_400917 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_270623 tptp.product_prod_nat_nat) (BOUND_VARIABLE_270624 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 (ho_7132 (ho_10113 k_10112 BOUND_VARIABLE_400918) BOUND_VARIABLE_400917) BOUND_VARIABLE_270623) BOUND_VARIABLE_270624) (and (ho_4575 BOUND_VARIABLE_400918 BOUND_VARIABLE_270623) (ho_4575 (ho_5379 BOUND_VARIABLE_400917 BOUND_VARIABLE_270623) BOUND_VARIABLE_270624)))))) (let ((_let_14277 (forall ((BOUND_VARIABLE_400937 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_270614 tptp.product_prod_nat_nat)) (= (ho_5643 (ho_10115 k_10114 BOUND_VARIABLE_400937) BOUND_VARIABLE_270614) (ho_4515 k_4514 (ho_5379 BOUND_VARIABLE_400937 BOUND_VARIABLE_270614)))))) (let ((_let_14278 (forall ((BOUND_VARIABLE_400950 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270577 tptp.set_nat) (BOUND_VARIABLE_270578 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270578)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6539 BOUND_VARIABLE_400950)) BOUND_VARIABLE_270577))) (ho_4575 (ho_4758 (ho_5290 k_10116 BOUND_VARIABLE_400950) BOUND_VARIABLE_270577) BOUND_VARIABLE_270578))))) (let ((_let_14279 (forall ((BOUND_VARIABLE_400968 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_270540 tptp.set_int) (BOUND_VARIABLE_270541 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_270541)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_6540 BOUND_VARIABLE_400968)) BOUND_VARIABLE_270540))) (ho_4599 (ho_4924 (ho_6975 k_10117 BOUND_VARIABLE_400968) BOUND_VARIABLE_270540) BOUND_VARIABLE_270541))))) (let ((_let_14280 (forall ((BOUND_VARIABLE_400986 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_270511 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6541 BOUND_VARIABLE_270511)) (ho_6977 BOUND_VARIABLE_400986 BOUND_VARIABLE_270511))) (ho_6985 (ho_6984 k_10118 BOUND_VARIABLE_400986) BOUND_VARIABLE_270511))))) (let ((_let_14281 (forall ((BOUND_VARIABLE_401000 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270474 tptp.set_nat) (BOUND_VARIABLE_270475 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270475)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6542 BOUND_VARIABLE_401000)) BOUND_VARIABLE_270474))) (ho_4575 (ho_4758 (ho_5290 k_10119 BOUND_VARIABLE_401000) BOUND_VARIABLE_270474) BOUND_VARIABLE_270475))))) (let ((_let_14282 (forall ((BOUND_VARIABLE_401018 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_270437 tptp.set_int) (BOUND_VARIABLE_270438 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_270438)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_6543 BOUND_VARIABLE_401018)) BOUND_VARIABLE_270437))) (ho_4599 (ho_4924 (ho_6975 k_10120 BOUND_VARIABLE_401018) BOUND_VARIABLE_270437) BOUND_VARIABLE_270438))))) (let ((_let_14283 (forall ((BOUND_VARIABLE_401036 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_270408 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6544 BOUND_VARIABLE_270408)) (ho_6977 BOUND_VARIABLE_401036 BOUND_VARIABLE_270408))) (ho_6985 (ho_6984 k_10121 BOUND_VARIABLE_401036) BOUND_VARIABLE_270408))))) (let ((_let_14284 (forall ((BOUND_VARIABLE_401050 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_270371 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_270372 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_270372)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_6545 BOUND_VARIABLE_401050)) BOUND_VARIABLE_270371))) (ho_4544 (ho_4543 (ho_5164 k_10122 BOUND_VARIABLE_401050) BOUND_VARIABLE_270371) BOUND_VARIABLE_270372))))) (let ((_let_14285 (forall ((BOUND_VARIABLE_401068 |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (BOUND_VARIABLE_270342 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6546 BOUND_VARIABLE_270342)) (ho_5126 BOUND_VARIABLE_401068 BOUND_VARIABLE_270342))) (ho_6325 (ho_10124 k_10123 BOUND_VARIABLE_401068) BOUND_VARIABLE_270342))))) (let ((_let_14286 (forall ((BOUND_VARIABLE_401086 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270305 tptp.set_nat) (BOUND_VARIABLE_270306 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270306)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6547 BOUND_VARIABLE_401086)) BOUND_VARIABLE_270305))) (ho_4575 (ho_4758 (ho_5290 k_10125 BOUND_VARIABLE_401086) BOUND_VARIABLE_270305) BOUND_VARIABLE_270306))))) (let ((_let_14287 (forall ((BOUND_VARIABLE_401104 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_270268 tptp.set_int) (BOUND_VARIABLE_270269 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_270269)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_6548 BOUND_VARIABLE_401104)) BOUND_VARIABLE_270268))) (ho_4599 (ho_4924 (ho_6975 k_10126 BOUND_VARIABLE_401104) BOUND_VARIABLE_270268) BOUND_VARIABLE_270269))))) (let ((_let_14288 (forall ((BOUND_VARIABLE_401122 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_270239 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6549 BOUND_VARIABLE_270239)) (ho_6977 BOUND_VARIABLE_401122 BOUND_VARIABLE_270239))) (ho_6985 (ho_6984 k_10127 BOUND_VARIABLE_401122) BOUND_VARIABLE_270239))))) (let ((_let_14289 (forall ((BOUND_VARIABLE_401136 |u_(-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)|) (BOUND_VARIABLE_270201 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_270202 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_270202)) (ho_4533 (ho_4532 k_4531 (ho_4692 k_6550 BOUND_VARIABLE_401136)) BOUND_VARIABLE_270201))) (ho_4544 (ho_4543 (ho_5164 k_10128 BOUND_VARIABLE_401136) BOUND_VARIABLE_270201) BOUND_VARIABLE_270202))))) (let ((_let_14290 (forall ((BOUND_VARIABLE_401154 |u_(-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)|) (BOUND_VARIABLE_270172 tptp.set_Pr4329608150637261639at_nat)) (= (ho_9005 k_9004 (ho_9115 (ho_9114 k_9113 (ho_6324 k_6551 BOUND_VARIABLE_270172)) (ho_5126 BOUND_VARIABLE_401154 BOUND_VARIABLE_270172))) (ho_6325 (ho_10124 k_10129 BOUND_VARIABLE_401154) BOUND_VARIABLE_270172))))) (let ((_let_14291 (forall ((BOUND_VARIABLE_401168 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270135 tptp.set_nat) (BOUND_VARIABLE_270136 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270136)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6552 BOUND_VARIABLE_401168)) BOUND_VARIABLE_270135))) (ho_4575 (ho_4758 (ho_5290 k_10130 BOUND_VARIABLE_401168) BOUND_VARIABLE_270135) BOUND_VARIABLE_270136))))) (let ((_let_14292 (forall ((BOUND_VARIABLE_401186 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_270098 tptp.set_int) (BOUND_VARIABLE_270099 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_270099)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_6553 BOUND_VARIABLE_401186)) BOUND_VARIABLE_270098))) (ho_4599 (ho_4924 (ho_6975 k_10131 BOUND_VARIABLE_401186) BOUND_VARIABLE_270098) BOUND_VARIABLE_270099))))) (let ((_let_14293 (forall ((BOUND_VARIABLE_401204 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_270069 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6554 BOUND_VARIABLE_270069)) (ho_6977 BOUND_VARIABLE_401204 BOUND_VARIABLE_270069))) (ho_6985 (ho_6984 k_10132 BOUND_VARIABLE_401204) BOUND_VARIABLE_270069))))) (let ((_let_14294 (forall ((BOUND_VARIABLE_401218 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_270032 tptp.set_nat) (BOUND_VARIABLE_270033 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_270033)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6555 BOUND_VARIABLE_401218)) BOUND_VARIABLE_270032))) (ho_4575 (ho_4758 (ho_5290 k_10133 BOUND_VARIABLE_401218) BOUND_VARIABLE_270032) BOUND_VARIABLE_270033))))) (let ((_let_14295 (forall ((BOUND_VARIABLE_401236 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_269995 tptp.set_nat) (BOUND_VARIABLE_269996 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269996)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6556 BOUND_VARIABLE_401236)) BOUND_VARIABLE_269995))) (ho_4575 (ho_4758 (ho_5290 k_10134 BOUND_VARIABLE_401236) BOUND_VARIABLE_269995) BOUND_VARIABLE_269996))))) (let ((_let_14296 (forall ((BOUND_VARIABLE_269959 tptp.set_nat) (BOUND_VARIABLE_269960 tptp.set_nat) (BOUND_VARIABLE_269961 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269961)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6557 BOUND_VARIABLE_269959)) BOUND_VARIABLE_269960))) (ho_4575 (ho_4758 (ho_5149 k_10135 BOUND_VARIABLE_269959) BOUND_VARIABLE_269960) BOUND_VARIABLE_269961))))) (let ((_let_14297 (forall ((BOUND_VARIABLE_269924 tptp.set_nat) (BOUND_VARIABLE_269925 tptp.set_nat) (BOUND_VARIABLE_269926 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269926)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6558 BOUND_VARIABLE_269924)) BOUND_VARIABLE_269925))) (ho_4575 (ho_4758 (ho_5149 k_10136 BOUND_VARIABLE_269924) BOUND_VARIABLE_269925) BOUND_VARIABLE_269926))))) (let ((_let_14298 (forall ((BOUND_VARIABLE_269912 tptp.int) (BOUND_VARIABLE_269913 tptp.int) (BOUND_VARIABLE_269914 tptp.product_prod_int_int)) (= (and (= BOUND_VARIABLE_269912 (ho_5531 k_5530 BOUND_VARIABLE_269914)) (= BOUND_VARIABLE_269913 (ho_5531 k_5532 BOUND_VARIABLE_269914))) (ho_4599 (ho_4907 (ho_5299 k_10137 BOUND_VARIABLE_269912) BOUND_VARIABLE_269913) BOUND_VARIABLE_269914))))) (let ((_let_14299 (forall ((BOUND_VARIABLE_269901 tptp.nat) (BOUND_VARIABLE_269902 tptp.nat) (BOUND_VARIABLE_269903 tptp.nat) (BOUND_VARIABLE_269904 tptp.nat)) (= (and (= BOUND_VARIABLE_269901 BOUND_VARIABLE_269903) (= BOUND_VARIABLE_269902 BOUND_VARIABLE_269904)) (ho_4593 (ho_4511 (ho_6770 (ho_10139 k_10138 BOUND_VARIABLE_269901) BOUND_VARIABLE_269902) BOUND_VARIABLE_269903) BOUND_VARIABLE_269904))))) (let ((_let_14300 (forall ((BOUND_VARIABLE_269890 tptp.nat) (BOUND_VARIABLE_269891 tptp.num) (BOUND_VARIABLE_269892 tptp.nat) (BOUND_VARIABLE_269893 tptp.num)) (= (and (= BOUND_VARIABLE_269890 BOUND_VARIABLE_269892) (= BOUND_VARIABLE_269891 BOUND_VARIABLE_269893)) (ho_6266 (ho_6265 (ho_10142 (ho_10141 k_10140 BOUND_VARIABLE_269890) BOUND_VARIABLE_269891) BOUND_VARIABLE_269892) BOUND_VARIABLE_269893))))) (let ((_let_14301 (forall ((BOUND_VARIABLE_269879 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269880 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269881 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269882 tptp.set_Pr1261947904930325089at_nat)) (= (and (= BOUND_VARIABLE_269879 BOUND_VARIABLE_269881) (= BOUND_VARIABLE_269880 BOUND_VARIABLE_269882)) (ho_5240 (ho_4491 (ho_10145 (ho_10144 k_10143 BOUND_VARIABLE_269879) BOUND_VARIABLE_269880) BOUND_VARIABLE_269881) BOUND_VARIABLE_269882))))) (let ((_let_14302 (forall ((BOUND_VARIABLE_269868 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269869 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269870 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269871 tptp.set_Pr4329608150637261639at_nat)) (= (and (= BOUND_VARIABLE_269868 BOUND_VARIABLE_269870) (= BOUND_VARIABLE_269869 BOUND_VARIABLE_269871)) (ho_5242 (ho_6280 (ho_10148 (ho_10147 k_10146 BOUND_VARIABLE_269868) BOUND_VARIABLE_269869) BOUND_VARIABLE_269870) BOUND_VARIABLE_269871))))) (let ((_let_14303 (forall ((BOUND_VARIABLE_401369 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_401368 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_269858 tptp.product_prod_int_int)) (= (ho_4599 (ho_5360 (ho_10150 k_10149 BOUND_VARIABLE_401369) BOUND_VARIABLE_401368) BOUND_VARIABLE_269858) (and (ho_5218 BOUND_VARIABLE_401369 (ho_5531 k_5530 BOUND_VARIABLE_269858)) (ho_5218 BOUND_VARIABLE_401368 (ho_5531 k_5532 BOUND_VARIABLE_269858))))))) (let ((_let_14304 (forall ((BOUND_VARIABLE_401388 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_401386 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_269819 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_269819)) (ho_4899 (ho_4898 k_4897 (ho_6560 k_6559 BOUND_VARIABLE_401388)) (ho_5339 k_5338 BOUND_VARIABLE_401386)))) (ho_4599 (ho_5360 (ho_10150 k_10151 BOUND_VARIABLE_401388) BOUND_VARIABLE_401386) BOUND_VARIABLE_269819))))) (let ((_let_14305 (forall ((BOUND_VARIABLE_401411 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_401410 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_269808 tptp.nat) (BOUND_VARIABLE_269809 tptp.nat)) (= (ho_4593 (ho_4511 (ho_10154 (ho_10153 k_10152 BOUND_VARIABLE_401411) BOUND_VARIABLE_401410) BOUND_VARIABLE_269808) BOUND_VARIABLE_269809) (and (ho_4593 BOUND_VARIABLE_401411 BOUND_VARIABLE_269808) (ho_4593 BOUND_VARIABLE_401410 BOUND_VARIABLE_269809)))))) (let ((_let_14306 (forall ((BOUND_VARIABLE_401433 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_401431 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_269769 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269769)) (ho_4565 (ho_4564 k_4563 (ho_6562 k_6561 BOUND_VARIABLE_401433)) (ho_4845 k_4844 BOUND_VARIABLE_401431)))) (ho_4575 (ho_5363 (ho_10156 k_10155 BOUND_VARIABLE_401433) BOUND_VARIABLE_401431) BOUND_VARIABLE_269769))))) (let ((_let_14307 (forall ((BOUND_VARIABLE_401460 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_401459 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_269758 tptp.product_prod_int_int) (BOUND_VARIABLE_269759 tptp.product_prod_int_int)) (= (ho_4599 (ho_6822 (ho_10159 (ho_10158 k_10157 BOUND_VARIABLE_401460) BOUND_VARIABLE_401459) BOUND_VARIABLE_269758) BOUND_VARIABLE_269759) (and (ho_4599 BOUND_VARIABLE_401460 BOUND_VARIABLE_269758) (ho_4599 BOUND_VARIABLE_401459 BOUND_VARIABLE_269759)))))) (let ((_let_14308 (forall ((BOUND_VARIABLE_401482 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_269750 tptp.product_prod_int_int)) (= (ho_10073 (ho_10161 k_10160 BOUND_VARIABLE_401482) BOUND_VARIABLE_269750) (ho_4601 k_4600 BOUND_VARIABLE_401482))))) (let ((_let_14309 (forall ((BOUND_VARIABLE_401499 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_401498 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_269740 tptp.product_prod_int_int) (BOUND_VARIABLE_269741 tptp.nat)) (= (ho_4593 (ho_10074 (ho_10164 (ho_10163 k_10162 BOUND_VARIABLE_401499) BOUND_VARIABLE_401498) BOUND_VARIABLE_269740) BOUND_VARIABLE_269741) (and (ho_4599 BOUND_VARIABLE_401499 BOUND_VARIABLE_269740) (ho_4593 BOUND_VARIABLE_401498 BOUND_VARIABLE_269741)))))) (let ((_let_14310 (forall ((BOUND_VARIABLE_401521 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_269732 tptp.product_prod_int_int)) (= (ho_10080 (ho_10166 k_10165 BOUND_VARIABLE_401521) BOUND_VARIABLE_269732) (ho_4845 k_4844 BOUND_VARIABLE_401521))))) (let ((_let_14311 (forall ((BOUND_VARIABLE_401538 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_401537 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269722 tptp.product_prod_int_int) (BOUND_VARIABLE_269723 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_10081 (ho_10169 (ho_10168 k_10167 BOUND_VARIABLE_401538) BOUND_VARIABLE_401537) BOUND_VARIABLE_269722) BOUND_VARIABLE_269723) (and (ho_4599 BOUND_VARIABLE_401538 BOUND_VARIABLE_269722) (ho_4575 BOUND_VARIABLE_401537 BOUND_VARIABLE_269723)))))) (let ((_let_14312 (forall ((BOUND_VARIABLE_401560 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269714 tptp.product_prod_int_int)) (= (ho_10087 (ho_10171 k_10170 BOUND_VARIABLE_401560) BOUND_VARIABLE_269714) (ho_4515 k_4514 BOUND_VARIABLE_401560))))) (let ((_let_14313 (forall ((BOUND_VARIABLE_401577 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_401576 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_269704 tptp.nat) (BOUND_VARIABLE_269705 tptp.product_prod_int_int)) (= (ho_4599 (ho_10088 (ho_10174 (ho_10173 k_10172 BOUND_VARIABLE_401577) BOUND_VARIABLE_401576) BOUND_VARIABLE_269704) BOUND_VARIABLE_269705) (and (ho_4593 BOUND_VARIABLE_401577 BOUND_VARIABLE_269704) (ho_4599 BOUND_VARIABLE_401576 BOUND_VARIABLE_269705)))))) (let ((_let_14314 (forall ((BOUND_VARIABLE_401599 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_269696 tptp.nat)) (= (ho_10094 (ho_10176 k_10175 BOUND_VARIABLE_401599) BOUND_VARIABLE_269696) (ho_4601 k_4600 BOUND_VARIABLE_401599))))) (let ((_let_14315 (forall ((BOUND_VARIABLE_401616 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_401615 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269686 tptp.nat) (BOUND_VARIABLE_269687 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_10179 (ho_10178 k_10177 BOUND_VARIABLE_401616) BOUND_VARIABLE_401615) BOUND_VARIABLE_269686) BOUND_VARIABLE_269687) (and (ho_4593 BOUND_VARIABLE_401616 BOUND_VARIABLE_269686) (ho_4575 BOUND_VARIABLE_401615 BOUND_VARIABLE_269687)))))) (let ((_let_14316 (forall ((BOUND_VARIABLE_401638 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269678 tptp.nat)) (= (ho_4524 (ho_10181 k_10180 BOUND_VARIABLE_401638) BOUND_VARIABLE_269678) (ho_4515 k_4514 BOUND_VARIABLE_401638))))) (let ((_let_14317 (forall ((BOUND_VARIABLE_401655 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_401654 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_269668 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269669 tptp.product_prod_int_int)) (= (ho_4599 (ho_10100 (ho_10184 (ho_10183 k_10182 BOUND_VARIABLE_401655) BOUND_VARIABLE_401654) BOUND_VARIABLE_269668) BOUND_VARIABLE_269669) (and (ho_4575 BOUND_VARIABLE_401655 BOUND_VARIABLE_269668) (ho_4599 BOUND_VARIABLE_401654 BOUND_VARIABLE_269669)))))) (let ((_let_14318 (forall ((BOUND_VARIABLE_401677 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_269660 tptp.product_prod_nat_nat)) (= (ho_10106 (ho_10186 k_10185 BOUND_VARIABLE_401677) BOUND_VARIABLE_269660) (ho_4601 k_4600 BOUND_VARIABLE_401677))))) (let ((_let_14319 (forall ((BOUND_VARIABLE_401694 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_401693 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_269650 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269651 tptp.nat)) (= (ho_4593 (ho_4990 (ho_10189 (ho_10188 k_10187 BOUND_VARIABLE_401694) BOUND_VARIABLE_401693) BOUND_VARIABLE_269650) BOUND_VARIABLE_269651) (and (ho_4575 BOUND_VARIABLE_401694 BOUND_VARIABLE_269650) (ho_4593 BOUND_VARIABLE_401693 BOUND_VARIABLE_269651)))))) (let ((_let_14320 (forall ((BOUND_VARIABLE_401716 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_269642 tptp.product_prod_nat_nat)) (= (ho_4628 (ho_10191 k_10190 BOUND_VARIABLE_401716) BOUND_VARIABLE_269642) (ho_4845 k_4844 BOUND_VARIABLE_401716))))) (let ((_let_14321 (forall ((BOUND_VARIABLE_401733 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_401732 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269632 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269633 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 (ho_10194 (ho_10193 k_10192 BOUND_VARIABLE_401733) BOUND_VARIABLE_401732) BOUND_VARIABLE_269632) BOUND_VARIABLE_269633) (and (ho_4575 BOUND_VARIABLE_401733 BOUND_VARIABLE_269632) (ho_4575 BOUND_VARIABLE_401732 BOUND_VARIABLE_269633)))))) (let ((_let_14322 (forall ((BOUND_VARIABLE_401755 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269624 tptp.product_prod_nat_nat)) (= (ho_5643 (ho_10196 k_10195 BOUND_VARIABLE_401755) BOUND_VARIABLE_269624) (ho_4515 k_4514 BOUND_VARIABLE_401755))))) (let ((_let_14323 (forall ((BOUND_VARIABLE_401770 |u_(-> tptp.int tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_269609 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269610 tptp.product_prod_int_int)) (= (ho_4599 (ho_10199 (ho_10198 k_10197 BOUND_VARIABLE_401770) BOUND_VARIABLE_269609) BOUND_VARIABLE_269610) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 (ho_6862 BOUND_VARIABLE_401770 (ho_5531 k_5530 BOUND_VARIABLE_269610))) (ho_6862 BOUND_VARIABLE_401770 (ho_5531 k_5532 BOUND_VARIABLE_269610)))) BOUND_VARIABLE_269609))))) (let ((_let_14324 (forall ((BOUND_VARIABLE_401797 |u_(-> tptp.nat tptp.set_Pr1261947904930325089at_nat)|) (BOUND_VARIABLE_269595 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269596 tptp.nat) (BOUND_VARIABLE_269597 tptp.nat)) (= (ho_4593 (ho_4511 (ho_10202 (ho_10201 k_10200 BOUND_VARIABLE_401797) BOUND_VARIABLE_269595) BOUND_VARIABLE_269596) BOUND_VARIABLE_269597) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 (ho_4524 BOUND_VARIABLE_401797 BOUND_VARIABLE_269596)) (ho_4524 BOUND_VARIABLE_401797 BOUND_VARIABLE_269597))) BOUND_VARIABLE_269595))))) (let ((_let_14325 (forall ((BOUND_VARIABLE_401822 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_269580 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_269581 tptp.product_prod_int_int)) (= (ho_4599 (ho_10205 (ho_10204 k_10203 BOUND_VARIABLE_401822) BOUND_VARIABLE_269580) BOUND_VARIABLE_269581) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_401822 (ho_5531 k_5530 BOUND_VARIABLE_269581))) (ho_4914 BOUND_VARIABLE_401822 (ho_5531 k_5532 BOUND_VARIABLE_269581)))) BOUND_VARIABLE_269580))))) (let ((_let_14326 (forall ((BOUND_VARIABLE_401848 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_269565 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269566 tptp.product_prod_int_int)) (= (ho_4599 (ho_10208 (ho_10207 k_10206 BOUND_VARIABLE_401848) BOUND_VARIABLE_269565) BOUND_VARIABLE_269566) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 (ho_4891 BOUND_VARIABLE_401848 (ho_5531 k_5530 BOUND_VARIABLE_269566))) (ho_4891 BOUND_VARIABLE_401848 (ho_5531 k_5532 BOUND_VARIABLE_269566)))) BOUND_VARIABLE_269565))))) (let ((_let_14327 (forall ((BOUND_VARIABLE_401875 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_269551 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_269552 tptp.nat) (BOUND_VARIABLE_269553 tptp.nat)) (= (ho_4593 (ho_4511 (ho_10211 (ho_10210 k_10209 BOUND_VARIABLE_401875) BOUND_VARIABLE_269551) BOUND_VARIABLE_269552) BOUND_VARIABLE_269553) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 (ho_4925 BOUND_VARIABLE_401875 BOUND_VARIABLE_269552)) (ho_4925 BOUND_VARIABLE_401875 BOUND_VARIABLE_269553))) BOUND_VARIABLE_269551))))) (let ((_let_14328 (forall ((BOUND_VARIABLE_401901 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_269537 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269538 tptp.nat) (BOUND_VARIABLE_269539 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 (ho_10213 k_10212 BOUND_VARIABLE_401901) BOUND_VARIABLE_269537) BOUND_VARIABLE_269538) BOUND_VARIABLE_269539) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 (ho_4855 BOUND_VARIABLE_401901 BOUND_VARIABLE_269538)) (ho_4855 BOUND_VARIABLE_401901 BOUND_VARIABLE_269539))) BOUND_VARIABLE_269537))))) (let ((_let_14329 (forall ((BOUND_VARIABLE_401920 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_269500 tptp.set_nat) (BOUND_VARIABLE_269501 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269501)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6563 BOUND_VARIABLE_401920)) BOUND_VARIABLE_269500))) (ho_4575 (ho_4758 (ho_5290 k_10214 BOUND_VARIABLE_401920) BOUND_VARIABLE_269500) BOUND_VARIABLE_269501))))) (let ((_let_14330 (forall ((BOUND_VARIABLE_401938 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_269463 tptp.set_int) (BOUND_VARIABLE_269464 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_269464)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_6564 BOUND_VARIABLE_401938)) BOUND_VARIABLE_269463))) (ho_4599 (ho_4924 (ho_6975 k_10215 BOUND_VARIABLE_401938) BOUND_VARIABLE_269463) BOUND_VARIABLE_269464))))) (let ((_let_14331 (forall ((BOUND_VARIABLE_401956 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_269434 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6565 BOUND_VARIABLE_269434)) (ho_6977 BOUND_VARIABLE_401956 BOUND_VARIABLE_269434))) (ho_6985 (ho_6984 k_10216 BOUND_VARIABLE_401956) BOUND_VARIABLE_269434))))) (let ((_let_14332 (forall ((BOUND_VARIABLE_401970 |u_(-> tptp.nat tptp.set_nat)|) (BOUND_VARIABLE_269396 tptp.set_nat) (BOUND_VARIABLE_269397 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269397)) (ho_4565 (ho_4564 k_4563 (ho_4768 k_6566 BOUND_VARIABLE_401970)) BOUND_VARIABLE_269396))) (ho_4575 (ho_4758 (ho_5290 k_10217 BOUND_VARIABLE_401970) BOUND_VARIABLE_269396) BOUND_VARIABLE_269397))))) (let ((_let_14333 (forall ((BOUND_VARIABLE_401988 |u_(-> tptp.int tptp.set_int)|) (BOUND_VARIABLE_269358 tptp.set_int) (BOUND_VARIABLE_269359 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_269359)) (ho_4899 (ho_4898 k_4897 (ho_5536 k_6567 BOUND_VARIABLE_401988)) BOUND_VARIABLE_269358))) (ho_4599 (ho_4924 (ho_6975 k_10218 BOUND_VARIABLE_401988) BOUND_VARIABLE_269358) BOUND_VARIABLE_269359))))) (let ((_let_14334 (forall ((BOUND_VARIABLE_402006 |u_(-> tptp.nat tptp.set_num)|) (BOUND_VARIABLE_269328 tptp.nat)) (= (ho_6982 k_6981 (ho_6980 (ho_6979 k_6978 (ho_5539 k_6568 BOUND_VARIABLE_269328)) (ho_6977 BOUND_VARIABLE_402006 BOUND_VARIABLE_269328))) (ho_6985 (ho_6984 k_10219 BOUND_VARIABLE_402006) BOUND_VARIABLE_269328))))) (let ((_let_14335 (forall ((BOUND_VARIABLE_269320 tptp.int) (BOUND_VARIABLE_269321 tptp.int)) (= (= BOUND_VARIABLE_269320 BOUND_VARIABLE_269321) (ho_5218 (ho_5250 k_10220 BOUND_VARIABLE_269320) BOUND_VARIABLE_269321))))) (let ((_let_14336 (forall ((BOUND_VARIABLE_402032 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_402031 |u_(-> tptp.code_integer tptp.int Bool)|) (BOUND_VARIABLE_269304 tptp.int) (BOUND_VARIABLE_269305 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_10223 (ho_10222 k_10221 BOUND_VARIABLE_402032) BOUND_VARIABLE_402031) BOUND_VARIABLE_269304) BOUND_VARIABLE_269305) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_402032 BOUND_VARIABLE_269304) B4)) (not (ho_6488 (ho_6484 (ho_10223 k_10224 BOUND_VARIABLE_402031) B4) BOUND_VARIABLE_269305))))))))) (let ((_let_14337 (forall ((BOUND_VARIABLE_269295 tptp.code_integer) (BOUND_VARIABLE_269296 tptp.code_integer)) (= (= BOUND_VARIABLE_269295 BOUND_VARIABLE_269296) (ho_6488 (ho_6654 k_10225 BOUND_VARIABLE_269295) BOUND_VARIABLE_269296))))) (let ((_let_14338 (forall ((BOUND_VARIABLE_269288 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269289 tptp.product_prod_nat_nat)) (= (= BOUND_VARIABLE_269288 BOUND_VARIABLE_269289) (ho_4575 (ho_5379 k_10226 BOUND_VARIABLE_269288) BOUND_VARIABLE_269289))))) (let ((_let_14339 (forall ((BOUND_VARIABLE_402081 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_402078 |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269272 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269273 tptp.int)) (= (ho_5218 (ho_5383 (ho_5388 (ho_10229 k_10228 BOUND_VARIABLE_402081) BOUND_VARIABLE_402078) BOUND_VARIABLE_269272) BOUND_VARIABLE_269273) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_402081 BOUND_VARIABLE_269272) B4)) (not (ho_5218 (ho_5383 (ho_5388 k_5387 BOUND_VARIABLE_402078) B4) BOUND_VARIABLE_269273))))))))) (let ((_let_14340 (forall ((BOUND_VARIABLE_269263 tptp.int) (BOUND_VARIABLE_269264 tptp.int)) (= (= BOUND_VARIABLE_269263 BOUND_VARIABLE_269264) (ho_5218 (ho_5250 k_10230 BOUND_VARIABLE_269263) BOUND_VARIABLE_269264))))) (let ((_let_14341 (forall ((BOUND_VARIABLE_269256 tptp.int) (BOUND_VARIABLE_269257 tptp.int)) (= (= BOUND_VARIABLE_269256 BOUND_VARIABLE_269257) (ho_5218 (ho_5250 k_10231 BOUND_VARIABLE_269256) BOUND_VARIABLE_269257))))) (let ((_let_14342 (forall ((BOUND_VARIABLE_269249 tptp.code_integer) (BOUND_VARIABLE_269250 tptp.code_integer)) (= (= BOUND_VARIABLE_269249 BOUND_VARIABLE_269250) (ho_6488 (ho_6654 k_10232 BOUND_VARIABLE_269249) BOUND_VARIABLE_269250))))) (let ((_let_14343 (forall ((BOUND_VARIABLE_402130 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_402129 |u_(-> tptp.code_integer tptp.int Bool)|) (BOUND_VARIABLE_269233 tptp.int) (BOUND_VARIABLE_269234 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_10223 (ho_10222 k_10233 BOUND_VARIABLE_402130) BOUND_VARIABLE_402129) BOUND_VARIABLE_269233) BOUND_VARIABLE_269234) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_402130 BOUND_VARIABLE_269233) B4)) (not (ho_6488 (ho_6484 (ho_10223 k_10224 BOUND_VARIABLE_402129) B4) BOUND_VARIABLE_269234))))))))) (let ((_let_14344 (forall ((BOUND_VARIABLE_269224 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269225 tptp.product_prod_nat_nat)) (= (= BOUND_VARIABLE_269224 BOUND_VARIABLE_269225) (ho_4575 (ho_5379 k_10234 BOUND_VARIABLE_269224) BOUND_VARIABLE_269225))))) (let ((_let_14345 (forall ((BOUND_VARIABLE_269217 tptp.int) (BOUND_VARIABLE_269218 tptp.int)) (= (= BOUND_VARIABLE_269217 BOUND_VARIABLE_269218) (ho_5218 (ho_5250 k_10235 BOUND_VARIABLE_269217) BOUND_VARIABLE_269218))))) (let ((_let_14346 (forall ((BOUND_VARIABLE_402168 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_402167 |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_269201 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269202 tptp.int)) (= (ho_5218 (ho_5383 (ho_5388 (ho_10229 k_10236 BOUND_VARIABLE_402168) BOUND_VARIABLE_402167) BOUND_VARIABLE_269201) BOUND_VARIABLE_269202) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_402168 BOUND_VARIABLE_269201) B4)) (not (ho_5218 (ho_5383 (ho_5388 k_5387 BOUND_VARIABLE_402167) B4) BOUND_VARIABLE_269202))))))))) (let ((_let_14347 (forall ((BOUND_VARIABLE_402189 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_269190 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10237 BOUND_VARIABLE_402189) BOUND_VARIABLE_269190) (ho_5218 (ho_5250 BOUND_VARIABLE_402189 (ho_5531 k_5530 BOUND_VARIABLE_269190)) (ho_5531 k_5532 BOUND_VARIABLE_269190)))))) (let ((_let_14348 (forall ((BOUND_VARIABLE_402202 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_269180 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10238 BOUND_VARIABLE_402202) BOUND_VARIABLE_269180) (ho_5218 (ho_5250 BOUND_VARIABLE_402202 (ho_5531 k_5530 BOUND_VARIABLE_269180)) (ho_5531 k_5532 BOUND_VARIABLE_269180)))))) (let ((_let_14349 (forall ((BOUND_VARIABLE_402232 |u_(-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)|) (BOUND_VARIABLE_269164 tptp.produc7812382424243267045t_unit)) (= (ho_10246 (ho_10245 BOUND_VARIABLE_402232 (ho_10244 (ho_10243 k_10242 k_10240) BOUND_VARIABLE_269164)) (ho_10239 (ho_6965 k_6964 k_6962) BOUND_VARIABLE_269164)) (ho_10249 (ho_10248 k_10247 BOUND_VARIABLE_402232) BOUND_VARIABLE_269164))))) (let ((_let_14350 (forall ((BOUND_VARIABLE_269153 tptp.set_Pr1133966238863718811t_unit) (BOUND_VARIABLE_269154 tptp.ref_a)) (= (ho_6968 (ho_6967 k_6966 (ho_6965 k_6964 k_6962)) BOUND_VARIABLE_269153) (ho_6960 (ho_10251 k_10250 BOUND_VARIABLE_269153) BOUND_VARIABLE_269154))))) (let ((_let_14351 (forall ((BOUND_VARIABLE_269114 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269115 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269115)) (ho_4565 (ho_4564 k_4563 (ho_5672 k_6569 BOUND_VARIABLE_269114)) (ho_4870 (ho_5371 k_5370 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465))) BOUND_VARIABLE_269114)))) (ho_4575 (ho_5239 k_10252 BOUND_VARIABLE_269114) BOUND_VARIABLE_269115))))) (let ((_let_14352 (forall ((BOUND_VARIABLE_269078 tptp.set_nat) (BOUND_VARIABLE_269079 tptp.set_nat) (BOUND_VARIABLE_269080 tptp.product_prod_nat_nat)) (= (ho_4540 k_4539 (ho_4570 (ho_4569 k_4568 (ho_4567 k_4566 BOUND_VARIABLE_269080)) (ho_4565 (ho_4564 k_4563 (ho_5287 k_6570 BOUND_VARIABLE_269078)) BOUND_VARIABLE_269079))) (ho_4575 (ho_4758 (ho_5149 k_10253 BOUND_VARIABLE_269078) BOUND_VARIABLE_269079) BOUND_VARIABLE_269080))))) (let ((_let_14353 (forall ((BOUND_VARIABLE_269043 tptp.set_int) (BOUND_VARIABLE_269044 tptp.set_int) (BOUND_VARIABLE_269045 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_269045)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6571 BOUND_VARIABLE_269043)) BOUND_VARIABLE_269044))) (ho_4599 (ho_4924 (ho_8883 k_10254 BOUND_VARIABLE_269043) BOUND_VARIABLE_269044) BOUND_VARIABLE_269045))))) (let ((_let_14354 (forall ((BOUND_VARIABLE_269037 tptp.set_nat) (BOUND_VARIABLE_269038 tptp.int)) (= BOUND_VARIABLE_269037 (ho_4946 (ho_7394 k_10255 BOUND_VARIABLE_269037) BOUND_VARIABLE_269038))))) (let ((_let_14355 (forall ((BOUND_VARIABLE_269031 tptp.set_int) (BOUND_VARIABLE_269032 tptp.nat)) (= BOUND_VARIABLE_269031 (ho_5594 (ho_6144 k_10256 BOUND_VARIABLE_269031) BOUND_VARIABLE_269032))))) (let ((_let_14356 (forall ((BOUND_VARIABLE_269025 tptp.set_rat) (BOUND_VARIABLE_269026 tptp.nat)) (= BOUND_VARIABLE_269025 (ho_7561 (ho_8803 k_10257 BOUND_VARIABLE_269025) BOUND_VARIABLE_269026))))) (let ((_let_14357 (forall ((BOUND_VARIABLE_402338 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_269017 tptp.set_int) (BOUND_VARIABLE_269018 tptp.int)) (= (ho_4946 (ho_7387 (ho_10005 k_10258 BOUND_VARIABLE_402338) BOUND_VARIABLE_269017) BOUND_VARIABLE_269018) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_402338) BOUND_VARIABLE_269017))))) (let ((_let_14358 (forall ((BOUND_VARIABLE_402353 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_402352 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_269006 tptp.int) (BOUND_VARIABLE_269007 tptp.int)) (= (ho_7380 (ho_10262 (ho_10261 (ho_10260 k_10259 BOUND_VARIABLE_402353) BOUND_VARIABLE_402352) BOUND_VARIABLE_269006) BOUND_VARIABLE_269007) (ho_7383 (ho_7382 k_7381 (ho_4914 BOUND_VARIABLE_402353 BOUND_VARIABLE_269006)) (ho_4891 BOUND_VARIABLE_402352 BOUND_VARIABLE_269007)))))) (let ((_let_14359 (forall ((BOUND_VARIABLE_268969 tptp.set_int) (BOUND_VARIABLE_268970 tptp.set_int) (BOUND_VARIABLE_268971 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_268971)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6572 BOUND_VARIABLE_268969)) BOUND_VARIABLE_268970))) (ho_4599 (ho_4924 (ho_8883 k_10263 BOUND_VARIABLE_268969) BOUND_VARIABLE_268970) BOUND_VARIABLE_268971))))) (let ((_let_14360 (forall ((BOUND_VARIABLE_402398 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_402397 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_268959 tptp.int) (BOUND_VARIABLE_268960 tptp.nat)) (= (ho_7383 (ho_7382 (ho_10266 (ho_10265 k_10264 BOUND_VARIABLE_402398) BOUND_VARIABLE_402397) BOUND_VARIABLE_268959) BOUND_VARIABLE_268960) (ho_7383 (ho_7382 k_7381 (ho_4914 BOUND_VARIABLE_402398 BOUND_VARIABLE_268959)) (ho_4855 BOUND_VARIABLE_402397 BOUND_VARIABLE_268960)))))) (let ((_let_14361 (forall ((BOUND_VARIABLE_268951 tptp.set_nat) (BOUND_VARIABLE_268952 tptp.int)) (= BOUND_VARIABLE_268951 (ho_4946 (ho_7394 k_10267 BOUND_VARIABLE_268951) BOUND_VARIABLE_268952))))) (let ((_let_14362 (forall ((BOUND_VARIABLE_402429 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_268943 tptp.set_nat) (BOUND_VARIABLE_268944 tptp.int)) (= (ho_4946 (ho_7394 (ho_9984 k_10268 BOUND_VARIABLE_402429) BOUND_VARIABLE_268943) BOUND_VARIABLE_268944) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_402429) BOUND_VARIABLE_268943))))) (let ((_let_14363 (forall ((BOUND_VARIABLE_402444 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_402443 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_268932 tptp.int) (BOUND_VARIABLE_268933 tptp.nat)) (= (ho_7398 (ho_10272 (ho_10271 (ho_10270 k_10269 BOUND_VARIABLE_402444) BOUND_VARIABLE_402443) BOUND_VARIABLE_268932) BOUND_VARIABLE_268933) (ho_7401 (ho_7400 k_7399 (ho_4914 BOUND_VARIABLE_402444 BOUND_VARIABLE_268932)) (ho_6357 BOUND_VARIABLE_402443 BOUND_VARIABLE_268933)))))) (let ((_let_14364 (forall ((BOUND_VARIABLE_268924 tptp.set_nat) (BOUND_VARIABLE_268925 tptp.int)) (= BOUND_VARIABLE_268924 (ho_4946 (ho_7394 k_10273 BOUND_VARIABLE_268924) BOUND_VARIABLE_268925))))) (let ((_let_14365 (forall ((BOUND_VARIABLE_402478 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_268916 tptp.set_nat) (BOUND_VARIABLE_268917 tptp.int)) (= (ho_7406 (ho_7405 (ho_9987 k_10274 BOUND_VARIABLE_402478) BOUND_VARIABLE_268916) BOUND_VARIABLE_268917) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_402478) BOUND_VARIABLE_268916))))) (let ((_let_14366 (forall ((BOUND_VARIABLE_402491 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268907 tptp.set_int) (BOUND_VARIABLE_268908 tptp.nat)) (= (ho_5594 (ho_6144 (ho_9989 k_10275 BOUND_VARIABLE_402491) BOUND_VARIABLE_268907) BOUND_VARIABLE_268908) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_402491) BOUND_VARIABLE_268907))))) (let ((_let_14367 (forall ((BOUND_VARIABLE_402506 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_402505 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268896 tptp.int) (BOUND_VARIABLE_268897 tptp.int)) (= (ho_10280 (ho_10279 (ho_10278 (ho_10277 k_10276 BOUND_VARIABLE_402506) BOUND_VARIABLE_402505) BOUND_VARIABLE_268896) BOUND_VARIABLE_268897) (ho_10280 (ho_10282 k_10281 (ho_4891 BOUND_VARIABLE_402506 BOUND_VARIABLE_268896)) (ho_4914 BOUND_VARIABLE_402505 BOUND_VARIABLE_268897)))))) (let ((_let_14368 (forall ((BOUND_VARIABLE_268858 tptp.set_int) (BOUND_VARIABLE_268859 tptp.set_int) (BOUND_VARIABLE_268860 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_268860)) (ho_4899 (ho_4898 k_4897 (ho_5575 k_6573 BOUND_VARIABLE_268858)) BOUND_VARIABLE_268859))) (ho_4599 (ho_4924 (ho_8883 k_10283 BOUND_VARIABLE_268858) BOUND_VARIABLE_268859) BOUND_VARIABLE_268860))))) (let ((_let_14369 (forall ((BOUND_VARIABLE_402559 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_402558 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_268848 tptp.int) (BOUND_VARIABLE_268849 tptp.nat)) (= (ho_10288 (ho_10287 (ho_10286 (ho_10285 k_10284 BOUND_VARIABLE_402559) BOUND_VARIABLE_402558) BOUND_VARIABLE_268848) BOUND_VARIABLE_268849) (ho_10280 (ho_10282 k_10281 (ho_4891 BOUND_VARIABLE_402559 BOUND_VARIABLE_268848)) (ho_4925 BOUND_VARIABLE_402558 BOUND_VARIABLE_268849)))))) (let ((_let_14370 (forall ((BOUND_VARIABLE_268840 tptp.set_nat) (BOUND_VARIABLE_268841 tptp.int)) (= BOUND_VARIABLE_268840 (ho_4946 (ho_7394 k_10289 BOUND_VARIABLE_268840) BOUND_VARIABLE_268841))))) (let ((_let_14371 (forall ((BOUND_VARIABLE_402596 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_268832 tptp.set_nat) (BOUND_VARIABLE_268833 tptp.nat)) (= (ho_5594 (ho_9994 (ho_9993 k_10290 BOUND_VARIABLE_402596) BOUND_VARIABLE_268832) BOUND_VARIABLE_268833) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_402596) BOUND_VARIABLE_268832))))) (let ((_let_14372 (forall ((BOUND_VARIABLE_402612 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_402611 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_268821 tptp.int) (BOUND_VARIABLE_268822 tptp.nat)) (= (ho_10295 (ho_10294 (ho_10293 (ho_10292 k_10291 BOUND_VARIABLE_402612) BOUND_VARIABLE_402611) BOUND_VARIABLE_268821) BOUND_VARIABLE_268822) (ho_10298 (ho_10297 k_10296 (ho_4891 BOUND_VARIABLE_402612 BOUND_VARIABLE_268821)) (ho_6357 BOUND_VARIABLE_402611 BOUND_VARIABLE_268822)))))) (let ((_let_14373 (forall ((BOUND_VARIABLE_268813 tptp.set_nat) (BOUND_VARIABLE_268814 tptp.int)) (= BOUND_VARIABLE_268813 (ho_4946 (ho_7394 k_10299 BOUND_VARIABLE_268813) BOUND_VARIABLE_268814))))) (let ((_let_14374 (forall ((BOUND_VARIABLE_402656 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_268805 tptp.set_nat) (BOUND_VARIABLE_268806 tptp.nat)) (= (ho_7561 (ho_9998 (ho_9997 k_10300 BOUND_VARIABLE_402656) BOUND_VARIABLE_268805) BOUND_VARIABLE_268806) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_402656) BOUND_VARIABLE_268805))))) (let ((_let_14375 (forall ((BOUND_VARIABLE_402671 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_402670 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268794 tptp.nat) (BOUND_VARIABLE_268795 tptp.int)) (= (ho_7380 (ho_10304 (ho_10303 (ho_10302 k_10301 BOUND_VARIABLE_402671) BOUND_VARIABLE_402670) BOUND_VARIABLE_268794) BOUND_VARIABLE_268795) (ho_7383 (ho_7382 k_7381 (ho_4925 BOUND_VARIABLE_402671 BOUND_VARIABLE_268794)) (ho_4891 BOUND_VARIABLE_402670 BOUND_VARIABLE_268795)))))) (let ((_let_14376 (forall ((BOUND_VARIABLE_268786 tptp.set_int) (BOUND_VARIABLE_268787 tptp.nat)) (= BOUND_VARIABLE_268786 (ho_5594 (ho_6144 k_10305 BOUND_VARIABLE_268786) BOUND_VARIABLE_268787))))) (let ((_let_14377 (forall ((BOUND_VARIABLE_402705 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268778 tptp.set_int) (BOUND_VARIABLE_268779 tptp.int)) (= (ho_4946 (ho_7387 (ho_10005 k_10306 BOUND_VARIABLE_402705) BOUND_VARIABLE_268778) BOUND_VARIABLE_268779) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_402705) BOUND_VARIABLE_268778))))) (let ((_let_14378 (forall ((BOUND_VARIABLE_402720 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_402719 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268767 tptp.nat) (BOUND_VARIABLE_268768 tptp.int)) (= (ho_10280 (ho_10282 (ho_10309 (ho_10308 k_10307 BOUND_VARIABLE_402720) BOUND_VARIABLE_402719) BOUND_VARIABLE_268767) BOUND_VARIABLE_268768) (ho_10280 (ho_10282 k_10281 (ho_4855 BOUND_VARIABLE_402720 BOUND_VARIABLE_268767)) (ho_4914 BOUND_VARIABLE_402719 BOUND_VARIABLE_268768)))))) (let ((_let_14379 (forall ((BOUND_VARIABLE_268759 tptp.set_int) (BOUND_VARIABLE_268760 tptp.nat)) (= BOUND_VARIABLE_268759 (ho_5594 (ho_6144 k_10310 BOUND_VARIABLE_268759) BOUND_VARIABLE_268760))))) (let ((_let_14380 (forall ((BOUND_VARIABLE_402751 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268751 tptp.set_int) (BOUND_VARIABLE_268752 tptp.nat)) (= (ho_5594 (ho_6144 (ho_9989 k_10311 BOUND_VARIABLE_402751) BOUND_VARIABLE_268751) BOUND_VARIABLE_268752) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_402751) BOUND_VARIABLE_268751))))) (let ((_let_14381 (forall ((BOUND_VARIABLE_402766 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_402765 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268740 tptp.nat) (BOUND_VARIABLE_268741 tptp.int)) (= (ho_7413 (ho_10315 (ho_10314 (ho_10313 k_10312 BOUND_VARIABLE_402766) BOUND_VARIABLE_402765) BOUND_VARIABLE_268740) BOUND_VARIABLE_268741) (ho_7413 (ho_7412 k_7411 (ho_6357 BOUND_VARIABLE_402766 BOUND_VARIABLE_268740)) (ho_4914 BOUND_VARIABLE_402765 BOUND_VARIABLE_268741)))))) (let ((_let_14382 (forall ((BOUND_VARIABLE_268732 tptp.set_int) (BOUND_VARIABLE_268733 tptp.nat)) (= BOUND_VARIABLE_268732 (ho_5594 (ho_6144 k_10316 BOUND_VARIABLE_268732) BOUND_VARIABLE_268733))))) (let ((_let_14383 (forall ((BOUND_VARIABLE_402800 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268724 tptp.set_int) (BOUND_VARIABLE_268725 tptp.rat)) (= (ho_7418 (ho_10011 (ho_10010 k_10317 BOUND_VARIABLE_402800) BOUND_VARIABLE_268724) BOUND_VARIABLE_268725) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_402800) BOUND_VARIABLE_268724))))) (let ((_let_14384 (forall ((BOUND_VARIABLE_402816 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_402815 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268713 tptp.nat) (BOUND_VARIABLE_268714 tptp.int)) (= (ho_10322 (ho_10321 (ho_10320 (ho_10319 k_10318 BOUND_VARIABLE_402816) BOUND_VARIABLE_402815) BOUND_VARIABLE_268713) BOUND_VARIABLE_268714) (ho_7428 (ho_7430 k_7429 (ho_6357 BOUND_VARIABLE_402816 BOUND_VARIABLE_268713)) (ho_4891 BOUND_VARIABLE_402815 BOUND_VARIABLE_268714)))))) (let ((_let_14385 (forall ((BOUND_VARIABLE_268705 tptp.set_int) (BOUND_VARIABLE_268706 tptp.nat)) (= BOUND_VARIABLE_268705 (ho_5594 (ho_6144 k_10323 BOUND_VARIABLE_268705) BOUND_VARIABLE_268706))))) (let ((_let_14386 (forall ((BOUND_VARIABLE_402853 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268697 tptp.set_int) (BOUND_VARIABLE_268698 tptp.rat)) (= (ho_6358 (ho_10015 (ho_10014 k_10324 BOUND_VARIABLE_402853) BOUND_VARIABLE_268697) BOUND_VARIABLE_268698) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_402853) BOUND_VARIABLE_268697))))) (let ((_let_14387 (forall ((BOUND_VARIABLE_402866 |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_268689 tptp.code_integer) (BOUND_VARIABLE_268690 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_10326 k_10325 BOUND_VARIABLE_402866) BOUND_VARIABLE_268689) BOUND_VARIABLE_268690) (ho_5405 BOUND_VARIABLE_402866 BOUND_VARIABLE_268690))))) (let ((_let_14388 (forall ((BOUND_VARIABLE_402882 |u_(-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_268681 tptp.code_integer) (BOUND_VARIABLE_268682 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_10326 k_10327 BOUND_VARIABLE_402882) BOUND_VARIABLE_268681) BOUND_VARIABLE_268682) (ho_5405 BOUND_VARIABLE_402882 BOUND_VARIABLE_268682))))) (let ((_let_14389 (forall ((BOUND_VARIABLE_268674 tptp.nat) (BOUND_VARIABLE_268675 tptp.int)) (= BOUND_VARIABLE_268674 (ho_4891 (ho_7067 k_10328 BOUND_VARIABLE_268674) BOUND_VARIABLE_268675))))) (let ((_let_14390 (forall ((BOUND_VARIABLE_268668 tptp.nat) (BOUND_VARIABLE_268669 tptp.int)) (= BOUND_VARIABLE_268668 (ho_4891 (ho_7067 k_10329 BOUND_VARIABLE_268668) BOUND_VARIABLE_268669))))) (let ((_let_14391 (forall ((BOUND_VARIABLE_268662 tptp.nat) (BOUND_VARIABLE_268663 tptp.nat)) (= BOUND_VARIABLE_268662 (ho_4855 (ho_5457 k_10330 BOUND_VARIABLE_268662) BOUND_VARIABLE_268663))))) (let ((_let_14392 (forall ((BOUND_VARIABLE_268656 tptp.nat) (BOUND_VARIABLE_268657 tptp.nat)) (= BOUND_VARIABLE_268656 (ho_4855 (ho_5457 k_10331 BOUND_VARIABLE_268656) BOUND_VARIABLE_268657))))) (let ((_let_14393 (forall ((BOUND_VARIABLE_268650 tptp.num) (BOUND_VARIABLE_268651 tptp.int)) (= BOUND_VARIABLE_268650 (ho_5439 (ho_7315 k_10332 BOUND_VARIABLE_268650) BOUND_VARIABLE_268651))))) (let ((_let_14394 (forall ((BOUND_VARIABLE_268644 tptp.num) (BOUND_VARIABLE_268645 tptp.int)) (= BOUND_VARIABLE_268644 (ho_5439 (ho_7315 k_10333 BOUND_VARIABLE_268644) BOUND_VARIABLE_268645))))) (let ((_let_14395 (forall ((BOUND_VARIABLE_268638 Bool) (BOUND_VARIABLE_268639 tptp.nat)) (= BOUND_VARIABLE_268638 (ho_4593 (ho_5004 k_10334 BOUND_VARIABLE_268638) BOUND_VARIABLE_268639))))) (let ((_let_14396 (forall ((BOUND_VARIABLE_268632 Bool) (BOUND_VARIABLE_268633 tptp.nat)) (= BOUND_VARIABLE_268632 (ho_4593 (ho_5004 k_10335 BOUND_VARIABLE_268632) BOUND_VARIABLE_268633))))) (let ((_let_14397 (forall ((BOUND_VARIABLE_402954 |u_(-> tptp.char tptp.num)|) (BOUND_VARIABLE_402952 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_402951 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268623 tptp.int)) (= (ho_5439 (ho_6939 (ho_10339 (ho_10338 k_10337 BOUND_VARIABLE_402954) BOUND_VARIABLE_402952) BOUND_VARIABLE_402951) BOUND_VARIABLE_268623) (ho_6671 (ho_10342 (ho_10341 k_10340 BOUND_VARIABLE_402954) BOUND_VARIABLE_402952) (ho_4891 BOUND_VARIABLE_402951 BOUND_VARIABLE_268623)))))) (let ((_let_14398 (forall ((BOUND_VARIABLE_402992 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_402991 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_402990 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_268611 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10345 (ho_10344 k_10343 BOUND_VARIABLE_402992) BOUND_VARIABLE_402991) BOUND_VARIABLE_402990) BOUND_VARIABLE_268611) (ho_5235 (ho_10348 (ho_10347 k_10346 BOUND_VARIABLE_402992) BOUND_VARIABLE_402991) (ho_4593 BOUND_VARIABLE_402990 BOUND_VARIABLE_268611)))))) (let ((_let_14399 (forall ((BOUND_VARIABLE_403031 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_403028 |u_(-> tptp.int tptp.char)|) (BOUND_VARIABLE_403026 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268599 tptp.int)) (= (ho_4891 (ho_6929 (ho_10352 (ho_10351 k_10350 BOUND_VARIABLE_403031) BOUND_VARIABLE_403028) BOUND_VARIABLE_403026) BOUND_VARIABLE_268599) (ho_4891 (ho_10355 (ho_10354 k_10353 BOUND_VARIABLE_403031) BOUND_VARIABLE_403028) (ho_4914 BOUND_VARIABLE_403026 BOUND_VARIABLE_268599)))))) (let ((_let_14400 (forall ((BOUND_VARIABLE_403067 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_403066 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_403065 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_268587 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10358 (ho_10357 k_10356 BOUND_VARIABLE_403067) BOUND_VARIABLE_403066) BOUND_VARIABLE_403065) BOUND_VARIABLE_268587) (ho_4855 (ho_10361 (ho_10360 k_10359 BOUND_VARIABLE_403067) BOUND_VARIABLE_403066) (ho_4855 BOUND_VARIABLE_403065 BOUND_VARIABLE_268587)))))) (let ((_let_14401 (forall ((BOUND_VARIABLE_403103 |u_(-> tptp.char tptp.num)|) (BOUND_VARIABLE_403102 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_403101 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268575 tptp.int)) (= (ho_5439 (ho_6939 (ho_10339 (ho_10338 k_10362 BOUND_VARIABLE_403103) BOUND_VARIABLE_403102) BOUND_VARIABLE_403101) BOUND_VARIABLE_268575) (ho_6671 (ho_10342 (ho_10341 k_10340 BOUND_VARIABLE_403103) BOUND_VARIABLE_403102) (ho_4891 BOUND_VARIABLE_403101 BOUND_VARIABLE_268575)))))) (let ((_let_14402 (forall ((BOUND_VARIABLE_403122 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_403121 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_403120 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_268563 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10345 (ho_10344 k_10363 BOUND_VARIABLE_403122) BOUND_VARIABLE_403121) BOUND_VARIABLE_403120) BOUND_VARIABLE_268563) (ho_5235 (ho_10348 (ho_10347 k_10346 BOUND_VARIABLE_403122) BOUND_VARIABLE_403121) (ho_4593 BOUND_VARIABLE_403120 BOUND_VARIABLE_268563)))))) (let ((_let_14403 (forall ((BOUND_VARIABLE_403141 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_403140 |u_(-> tptp.int tptp.char)|) (BOUND_VARIABLE_403139 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268551 tptp.int)) (= (ho_4891 (ho_6929 (ho_10352 (ho_10351 k_10364 BOUND_VARIABLE_403141) BOUND_VARIABLE_403140) BOUND_VARIABLE_403139) BOUND_VARIABLE_268551) (ho_4891 (ho_10355 (ho_10354 k_10353 BOUND_VARIABLE_403141) BOUND_VARIABLE_403140) (ho_4914 BOUND_VARIABLE_403139 BOUND_VARIABLE_268551)))))) (let ((_let_14404 (forall ((BOUND_VARIABLE_403160 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_403159 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_403158 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_268539 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10358 (ho_10357 k_10365 BOUND_VARIABLE_403160) BOUND_VARIABLE_403159) BOUND_VARIABLE_403158) BOUND_VARIABLE_268539) (ho_4855 (ho_10361 (ho_10360 k_10359 BOUND_VARIABLE_403160) BOUND_VARIABLE_403159) (ho_4855 BOUND_VARIABLE_403158 BOUND_VARIABLE_268539)))))) (let ((_let_14405 (forall ((BOUND_VARIABLE_403179 |u_(-> tptp.char tptp.num)|) (BOUND_VARIABLE_403178 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_403177 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268527 tptp.int)) (= (ho_5439 (ho_6939 (ho_10339 (ho_10338 k_10366 BOUND_VARIABLE_403179) BOUND_VARIABLE_403178) BOUND_VARIABLE_403177) BOUND_VARIABLE_268527) (ho_6671 (ho_10342 (ho_10341 k_10340 BOUND_VARIABLE_403179) BOUND_VARIABLE_403178) (ho_4891 BOUND_VARIABLE_403177 BOUND_VARIABLE_268527)))))) (let ((_let_14406 (forall ((BOUND_VARIABLE_403198 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_403197 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_403196 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_268515 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10345 (ho_10344 k_10367 BOUND_VARIABLE_403198) BOUND_VARIABLE_403197) BOUND_VARIABLE_403196) BOUND_VARIABLE_268515) (ho_5235 (ho_10348 (ho_10347 k_10346 BOUND_VARIABLE_403198) BOUND_VARIABLE_403197) (ho_4593 BOUND_VARIABLE_403196 BOUND_VARIABLE_268515)))))) (let ((_let_14407 (forall ((BOUND_VARIABLE_403213 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_268503 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10368 BOUND_VARIABLE_403213) BOUND_VARIABLE_268503) (ho_5218 (ho_5250 BOUND_VARIABLE_403213 (ho_5531 k_5530 BOUND_VARIABLE_268503)) (ho_5531 k_5532 BOUND_VARIABLE_268503)))))) (let ((_let_14408 (forall ((BOUND_VARIABLE_268492 tptp.set_num) (BOUND_VARIABLE_403226 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_10370 k_10369 BOUND_VARIABLE_268492) BOUND_VARIABLE_403226) (ho_10376 (ho_10375 k_10374 (ho_10373 (ho_10372 k_10371 BOUND_VARIABLE_403226) tptp.top_top_set_int)) BOUND_VARIABLE_268492))))) (let ((_let_14409 (forall ((BOUND_VARIABLE_268473 tptp.set_num) (BOUND_VARIABLE_403256 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_403269 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_403268 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6574) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_403269) BOUND_VARIABLE_403268) (ho_10379 (ho_10378 k_10377 BOUND_VARIABLE_268473) BOUND_VARIABLE_403256))) (ho_9762 (ho_9761 (ho_10382 (ho_10381 k_10380 BOUND_VARIABLE_268473) BOUND_VARIABLE_403256) BOUND_VARIABLE_403269) BOUND_VARIABLE_403268))))) (let ((_let_14410 (forall ((BOUND_VARIABLE_268466 tptp.int) (BOUND_VARIABLE_268467 tptp.int)) (= (= BOUND_VARIABLE_268466 BOUND_VARIABLE_268467) (ho_5218 (ho_5250 k_10383 BOUND_VARIABLE_268466) BOUND_VARIABLE_268467))))) (let ((_let_14411 (forall ((BOUND_VARIABLE_268456 tptp.set_int) (BOUND_VARIABLE_403304 |u_(-> tptp.int tptp.int)|)) (= (ho_10386 (ho_10385 k_10384 BOUND_VARIABLE_268456) BOUND_VARIABLE_403304) (ho_5232 (ho_10388 k_10387 (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_403304) tptp.top_top_set_int)) BOUND_VARIABLE_268456))))) (let ((_let_14412 (forall ((BOUND_VARIABLE_403331 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_403330 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_268449 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_10389 BOUND_VARIABLE_403331) BOUND_VARIABLE_403330) BOUND_VARIABLE_268449) (ho_4891 BOUND_VARIABLE_403331 (ho_4914 BOUND_VARIABLE_403330 BOUND_VARIABLE_268449)))))) (let ((_let_14413 (forall ((BOUND_VARIABLE_268440 tptp.int) (BOUND_VARIABLE_268441 tptp.int)) (= (= BOUND_VARIABLE_268440 BOUND_VARIABLE_268441) (ho_5218 (ho_5250 k_10390 BOUND_VARIABLE_268440) BOUND_VARIABLE_268441))))) (let ((_let_14414 (forall ((BOUND_VARIABLE_268430 tptp.set_nat) (BOUND_VARIABLE_403350 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_10392 k_10391 BOUND_VARIABLE_268430) BOUND_VARIABLE_403350) (ho_5227 (ho_10394 k_10393 (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_403350) tptp.top_top_set_int)) BOUND_VARIABLE_268430))))) (let ((_let_14415 (forall ((BOUND_VARIABLE_403373 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_403372 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_268423 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_10395 BOUND_VARIABLE_403373) BOUND_VARIABLE_403372) BOUND_VARIABLE_268423) (ho_6671 BOUND_VARIABLE_403373 (ho_4891 BOUND_VARIABLE_403372 BOUND_VARIABLE_268423)))))) (let ((_let_14416 (forall ((BOUND_VARIABLE_268414 tptp.nat) (BOUND_VARIABLE_268415 tptp.nat)) (= (= BOUND_VARIABLE_268414 BOUND_VARIABLE_268415) (ho_4593 (ho_4511 k_10396 BOUND_VARIABLE_268414) BOUND_VARIABLE_268415))))) (let ((_let_14417 (forall ((BOUND_VARIABLE_268404 tptp.set_nat) (BOUND_VARIABLE_403392 |u_(-> tptp.nat tptp.nat)|)) (= (ho_10399 (ho_10398 k_10397 BOUND_VARIABLE_268404) BOUND_VARIABLE_403392) (ho_5227 (ho_10394 k_10393 (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_403392) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) BOUND_VARIABLE_268404))))) (let ((_let_14418 (forall ((BOUND_VARIABLE_403415 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_403414 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_268397 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_10400 BOUND_VARIABLE_403415) BOUND_VARIABLE_403414) BOUND_VARIABLE_268397) (ho_4855 BOUND_VARIABLE_403415 (ho_4855 BOUND_VARIABLE_403414 BOUND_VARIABLE_268397)))))) (let ((_let_14419 (forall ((BOUND_VARIABLE_268388 tptp.nat) (BOUND_VARIABLE_268389 tptp.nat)) (= (= BOUND_VARIABLE_268388 BOUND_VARIABLE_268389) (ho_4593 (ho_4511 k_10401 BOUND_VARIABLE_268388) BOUND_VARIABLE_268389))))) (let ((_let_14420 (forall ((BOUND_VARIABLE_268378 tptp.set_o) (BOUND_VARIABLE_403434 |u_(-> tptp.nat Bool)|)) (= (ho_10404 (ho_10403 k_10402 BOUND_VARIABLE_268378) BOUND_VARIABLE_403434) (ho_4540 (ho_10406 k_10405 (ho_7252 (ho_7251 k_7250 BOUND_VARIABLE_403434) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) BOUND_VARIABLE_268378))))) (let ((_let_14421 (forall ((BOUND_VARIABLE_403461 |u_(-> Bool Bool)|) (BOUND_VARIABLE_403460 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_268371 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10407 BOUND_VARIABLE_403461) BOUND_VARIABLE_403460) BOUND_VARIABLE_268371) (ho_5235 BOUND_VARIABLE_403461 (ho_4593 BOUND_VARIABLE_403460 BOUND_VARIABLE_268371)))))) (let ((_let_14422 (forall ((BOUND_VARIABLE_268362 tptp.code_integer) (BOUND_VARIABLE_268363 tptp.code_integer)) (= (= BOUND_VARIABLE_268362 BOUND_VARIABLE_268363) (ho_6488 (ho_6654 k_10408 BOUND_VARIABLE_268362) BOUND_VARIABLE_268363))))) (let ((_let_14423 (forall ((BOUND_VARIABLE_268352 tptp.set_Co726186806682698383nteger) (BOUND_VARIABLE_403480 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|)) (= (ho_10411 (ho_10410 k_10409 BOUND_VARIABLE_268352) BOUND_VARIABLE_403480) (ho_10417 (ho_10416 k_10415 (ho_10414 (ho_10413 k_10412 BOUND_VARIABLE_403480) tptp.top_to4645266643341252675nteger)) BOUND_VARIABLE_268352))))) (let ((_let_14424 (forall ((BOUND_VARIABLE_403519 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_403518 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_268343 tptp.code_integer) (BOUND_VARIABLE_268344 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_10418 BOUND_VARIABLE_403519) BOUND_VARIABLE_403518) BOUND_VARIABLE_268343) BOUND_VARIABLE_268344) (ho_5405 (ho_5413 BOUND_VARIABLE_403519 (ho_5398 BOUND_VARIABLE_403518 BOUND_VARIABLE_268343)) BOUND_VARIABLE_268344))))) (let ((_let_14425 (forall ((BOUND_VARIABLE_268334 tptp.ref_a)) (= (ho_10420 k_10419 BOUND_VARIABLE_268334) (ho_10420 (ho_10422 k_10421 BOUND_VARIABLE_268334) BOUND_VARIABLE_268334))))) (let ((_let_14426 (forall ((BOUND_VARIABLE_268327 tptp.heap_e7401611519738050253t_unit)) (= (ho_10424 k_10423 BOUND_VARIABLE_268327) (ho_10424 (ho_10426 k_10425 BOUND_VARIABLE_268327) BOUND_VARIABLE_268327))))) (let ((_let_14427 (forall ((BOUND_VARIABLE_268320 tptp.list_nat) (BOUND_VARIABLE_268321 tptp.list_nat)) (= (= BOUND_VARIABLE_268320 BOUND_VARIABLE_268321) (ho_10429 (ho_10428 k_10427 BOUND_VARIABLE_268320) BOUND_VARIABLE_268321))))) (let ((_let_14428 (forall ((BOUND_VARIABLE_403578 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_403575 |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10433 (ho_10432 k_10431 BOUND_VARIABLE_403578) BOUND_VARIABLE_403575) (ho_5240 (ho_4491 k_10440 (ho_10439 (ho_10438 k_10437 BOUND_VARIABLE_403575) (ho_10436 (ho_10435 k_10434 k_6684) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_403578))))))) (let ((_let_14429 (forall ((BOUND_VARIABLE_403621 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_403620 |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10433 (ho_10432 k_10441 BOUND_VARIABLE_403621) BOUND_VARIABLE_403620) (ho_5240 (ho_4491 k_10440 (ho_10439 (ho_10438 k_10437 BOUND_VARIABLE_403620) (ho_10436 (ho_10435 k_10434 k_6684) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_403621))))))) (let ((_let_14430 (forall ((BOUND_VARIABLE_268289 tptp.int) (BOUND_VARIABLE_268290 tptp.int)) (= (= BOUND_VARIABLE_268289 BOUND_VARIABLE_268290) (ho_5218 (ho_5250 k_10442 BOUND_VARIABLE_268289) BOUND_VARIABLE_268290))))) (let ((_let_14431 (forall ((BOUND_VARIABLE_403641 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403644 |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10445 (ho_10444 k_10443 BOUND_VARIABLE_403644) tptp.top_top_set_int)) (ho_4601 k_4600 (ho_6245 k_6575 BOUND_VARIABLE_403641))) (ho_10450 (ho_10449 k_10448 BOUND_VARIABLE_403641) BOUND_VARIABLE_403644))))) (let ((_let_14432 (forall ((BOUND_VARIABLE_403677 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403680 |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10445 (ho_10444 k_10443 BOUND_VARIABLE_403680) tptp.top_top_set_int)) (ho_4601 k_4600 (ho_6245 k_6576 BOUND_VARIABLE_403677))) (ho_10450 (ho_10449 k_10451 BOUND_VARIABLE_403677) BOUND_VARIABLE_403680))))) (let ((_let_14433 (forall ((BOUND_VARIABLE_268232 tptp.nat) (BOUND_VARIABLE_268233 tptp.nat)) (= (= BOUND_VARIABLE_268232 BOUND_VARIABLE_268233) (ho_4593 (ho_4511 k_10452 BOUND_VARIABLE_268232) BOUND_VARIABLE_268233))))) (let ((_let_14434 (forall ((BOUND_VARIABLE_403700 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403703 |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10455 (ho_10454 k_10453 BOUND_VARIABLE_403703) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) (ho_4601 k_4600 (ho_6245 k_6577 BOUND_VARIABLE_403700))) (ho_10458 (ho_10457 k_10456 BOUND_VARIABLE_403700) BOUND_VARIABLE_403703))))) (let ((_let_14435 (forall ((BOUND_VARIABLE_403732 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403735 |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10455 (ho_10454 k_10453 BOUND_VARIABLE_403735) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) (ho_4601 k_4600 (ho_6245 k_6578 BOUND_VARIABLE_403732))) (ho_10458 (ho_10457 k_10459 BOUND_VARIABLE_403732) BOUND_VARIABLE_403735))))) (let ((_let_14436 (forall ((BOUND_VARIABLE_268175 tptp.rat) (BOUND_VARIABLE_268176 tptp.rat)) (= (= BOUND_VARIABLE_268175 BOUND_VARIABLE_268176) (ho_7184 (ho_10461 k_10460 BOUND_VARIABLE_268175) BOUND_VARIABLE_268176))))) (let ((_let_14437 (forall ((BOUND_VARIABLE_403758 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403764 |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10465 (ho_10464 k_10463 BOUND_VARIABLE_403764) (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4601 k_4600 (ho_6245 k_6579 BOUND_VARIABLE_403758))) (ho_10468 (ho_10467 k_10466 BOUND_VARIABLE_403758) BOUND_VARIABLE_403764))))) (let ((_let_14438 (forall ((BOUND_VARIABLE_403793 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403796 |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10465 (ho_10464 k_10463 BOUND_VARIABLE_403796) (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4601 k_4600 (ho_6245 k_6580 BOUND_VARIABLE_403793))) (ho_10468 (ho_10467 k_10469 BOUND_VARIABLE_403793) BOUND_VARIABLE_403796))))) (let ((_let_14439 (forall ((BOUND_VARIABLE_268114 tptp.char) (BOUND_VARIABLE_268115 tptp.char)) (= (= BOUND_VARIABLE_268114 BOUND_VARIABLE_268115) (ho_7226 (ho_10471 k_10470 BOUND_VARIABLE_268114) BOUND_VARIABLE_268115))))) (let ((_let_14440 (forall ((BOUND_VARIABLE_403819 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403841 |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10479 (ho_10478 k_10477 BOUND_VARIABLE_403841) (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))))) (ho_4601 k_4600 (ho_6245 k_6581 BOUND_VARIABLE_403819))) (ho_10482 (ho_10481 k_10480 BOUND_VARIABLE_403819) BOUND_VARIABLE_403841))))) (let ((_let_14441 (forall ((BOUND_VARIABLE_403872 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_403875 |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10479 (ho_10478 k_10477 BOUND_VARIABLE_403875) (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))))) (ho_4601 k_4600 (ho_6245 k_6582 BOUND_VARIABLE_403872))) (ho_10482 (ho_10481 k_10483 BOUND_VARIABLE_403872) BOUND_VARIABLE_403875))))) (let ((_let_14442 (forall ((BOUND_VARIABLE_403894 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_403891 |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10487 (ho_10486 k_10485 BOUND_VARIABLE_403894) BOUND_VARIABLE_403891) (ho_10497 (ho_10496 k_10495 (ho_10494 (ho_10493 k_10492 BOUND_VARIABLE_403891) tptp.top_top_set_int)) (ho_10491 k_10490 (ho_10489 k_10488 BOUND_VARIABLE_403894))))))) (let ((_let_14443 (forall ((BOUND_VARIABLE_403944 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_403943 |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10487 (ho_10486 k_10498 BOUND_VARIABLE_403944) BOUND_VARIABLE_403943) (ho_10497 (ho_10496 k_10495 (ho_10494 (ho_10493 k_10492 BOUND_VARIABLE_403943) tptp.top_top_set_int)) (ho_10491 k_10490 (ho_10489 k_10488 BOUND_VARIABLE_403944))))))) (let ((_let_14444 (forall ((BOUND_VARIABLE_403957 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_403959 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_403958 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6583) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_403959) BOUND_VARIABLE_403958) BOUND_VARIABLE_403957)) (ho_9762 (ho_9761 (ho_9760 k_10499 BOUND_VARIABLE_403957) BOUND_VARIABLE_403959) BOUND_VARIABLE_403958))))) (let ((_let_14445 (forall ((BOUND_VARIABLE_268017 tptp.int) (BOUND_VARIABLE_268018 tptp.int)) (= (= BOUND_VARIABLE_268017 BOUND_VARIABLE_268018) (ho_5218 (ho_5250 k_10500 BOUND_VARIABLE_268017) BOUND_VARIABLE_268018))))) (let ((_let_14446 (forall ((BOUND_VARIABLE_403985 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_403984 |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10503 (ho_10502 k_10501 BOUND_VARIABLE_403985) BOUND_VARIABLE_403984) (ho_5240 (ho_4491 k_10440 (ho_10506 (ho_10505 k_10504 BOUND_VARIABLE_403984) tptp.top_top_set_int)) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_403985))))))) (let ((_let_14447 (forall ((BOUND_VARIABLE_404017 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404016 |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10503 (ho_10502 k_10507 BOUND_VARIABLE_404017) BOUND_VARIABLE_404016) (ho_5240 (ho_4491 k_10440 (ho_10506 (ho_10505 k_10504 BOUND_VARIABLE_404016) tptp.top_top_set_int)) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404017))))))) (let ((_let_14448 (forall ((BOUND_VARIABLE_267986 tptp.nat) (BOUND_VARIABLE_267987 tptp.nat)) (= (= BOUND_VARIABLE_267986 BOUND_VARIABLE_267987) (ho_4593 (ho_4511 k_10508 BOUND_VARIABLE_267986) BOUND_VARIABLE_267987))))) (let ((_let_14449 (forall ((BOUND_VARIABLE_404040 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404039 |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10511 (ho_10510 k_10509 BOUND_VARIABLE_404040) BOUND_VARIABLE_404039) (ho_5240 (ho_4491 k_10440 (ho_6412 (ho_10513 k_10512 BOUND_VARIABLE_404039) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404040))))))) (let ((_let_14450 (forall ((BOUND_VARIABLE_404069 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404068 |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10511 (ho_10510 k_10514 BOUND_VARIABLE_404069) BOUND_VARIABLE_404068) (ho_5240 (ho_4491 k_10440 (ho_6412 (ho_10513 k_10512 BOUND_VARIABLE_404068) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404069))))))) (let ((_let_14451 (forall ((BOUND_VARIABLE_267955 tptp.rat) (BOUND_VARIABLE_267956 tptp.rat)) (= (= BOUND_VARIABLE_267955 BOUND_VARIABLE_267956) (ho_7184 (ho_10461 k_10515 BOUND_VARIABLE_267955) BOUND_VARIABLE_267956))))) (let ((_let_14452 (forall ((BOUND_VARIABLE_404089 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404093 |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_5240 (ho_4491 k_10440 (ho_10519 (ho_10518 k_10517 BOUND_VARIABLE_404093) (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404089))) (ho_10522 (ho_10521 k_10520 BOUND_VARIABLE_404089) BOUND_VARIABLE_404093))))) (let ((_let_14453 (forall ((BOUND_VARIABLE_404124 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404127 |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_5240 (ho_4491 k_10440 (ho_10519 (ho_10518 k_10517 BOUND_VARIABLE_404127) (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404124))) (ho_10522 (ho_10521 k_10523 BOUND_VARIABLE_404124) BOUND_VARIABLE_404127))))) (let ((_let_14454 (forall ((BOUND_VARIABLE_267914 tptp.char) (BOUND_VARIABLE_267915 tptp.char)) (= (= BOUND_VARIABLE_267914 BOUND_VARIABLE_267915) (ho_7226 (ho_10471 k_10524 BOUND_VARIABLE_267914) BOUND_VARIABLE_267915))))) (let ((_let_14455 (forall ((BOUND_VARIABLE_404153 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404150 |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10528 (ho_10527 k_10526 BOUND_VARIABLE_404153) BOUND_VARIABLE_404150) (ho_5240 (ho_4491 k_10440 (ho_10531 (ho_10530 k_10529 BOUND_VARIABLE_404150) (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404153))))))) (let ((_let_14456 (forall ((BOUND_VARIABLE_404185 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_404184 |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10528 (ho_10527 k_10532 BOUND_VARIABLE_404185) BOUND_VARIABLE_404184) (ho_5240 (ho_4491 k_10440 (ho_10531 (ho_10530 k_10529 BOUND_VARIABLE_404184) (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_404185))))))) (let ((_let_14457 (forall ((BOUND_VARIABLE_404204 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_404203 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_404202 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267881 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10345 (ho_10344 k_10533 BOUND_VARIABLE_404204) BOUND_VARIABLE_404203) BOUND_VARIABLE_404202) BOUND_VARIABLE_267881) (ho_5235 (ho_10348 (ho_10347 k_10346 BOUND_VARIABLE_404204) BOUND_VARIABLE_404203) (ho_4593 BOUND_VARIABLE_404202 BOUND_VARIABLE_267881)))))) (let ((_let_14458 (forall ((BOUND_VARIABLE_404223 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_404222 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_404221 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267869 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10345 (ho_10344 k_10534 BOUND_VARIABLE_404223) BOUND_VARIABLE_404222) BOUND_VARIABLE_404221) BOUND_VARIABLE_267869) (ho_5235 (ho_10348 (ho_10347 k_10346 BOUND_VARIABLE_404223) BOUND_VARIABLE_404222) (ho_4593 BOUND_VARIABLE_404221 BOUND_VARIABLE_267869)))))) (let ((_let_14459 (forall ((BOUND_VARIABLE_404242 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404241 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404240 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267857 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 k_10535 BOUND_VARIABLE_404242) BOUND_VARIABLE_404241) BOUND_VARIABLE_404240) BOUND_VARIABLE_267857) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404242) BOUND_VARIABLE_404241) (ho_4855 BOUND_VARIABLE_404240 BOUND_VARIABLE_267857)))))) (let ((_let_14460 (forall ((BOUND_VARIABLE_404284 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404283 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404282 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404281 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404280 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404279 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267840 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 (ho_10544 (ho_10543 (ho_10542 k_10541 BOUND_VARIABLE_404284) BOUND_VARIABLE_404283) BOUND_VARIABLE_404282) BOUND_VARIABLE_404281) BOUND_VARIABLE_404280) BOUND_VARIABLE_404279) BOUND_VARIABLE_267840) (ho_4855 (ho_10540 (ho_10539 k_10538 (ho_10547 (ho_10546 k_10545 BOUND_VARIABLE_404284) BOUND_VARIABLE_404283)) BOUND_VARIABLE_404282) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404281) BOUND_VARIABLE_404280) (ho_4855 BOUND_VARIABLE_404279 BOUND_VARIABLE_267840))))))) (let ((_let_14461 (forall ((BOUND_VARIABLE_404330 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404329 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267827 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10548 BOUND_VARIABLE_404330) BOUND_VARIABLE_404329) BOUND_VARIABLE_267827) (ho_5235 BOUND_VARIABLE_404330 (ho_4593 BOUND_VARIABLE_404329 BOUND_VARIABLE_267827)))))) (let ((_let_14462 (forall ((BOUND_VARIABLE_404346 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404345 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404344 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267816 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 k_10549 BOUND_VARIABLE_404346) BOUND_VARIABLE_404345) BOUND_VARIABLE_404344) BOUND_VARIABLE_267816) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404346) BOUND_VARIABLE_404345) (ho_4855 BOUND_VARIABLE_404344 BOUND_VARIABLE_267816)))))) (let ((_let_14463 (forall ((BOUND_VARIABLE_404363 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404362 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267806 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10550 BOUND_VARIABLE_404363) BOUND_VARIABLE_404362) BOUND_VARIABLE_267806) (ho_5235 BOUND_VARIABLE_404363 (ho_4593 BOUND_VARIABLE_404362 BOUND_VARIABLE_267806)))))) (let ((_let_14464 (forall ((BOUND_VARIABLE_404377 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404376 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267797 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10551 BOUND_VARIABLE_404377) BOUND_VARIABLE_404376) BOUND_VARIABLE_267797) (ho_5235 BOUND_VARIABLE_404377 (ho_4593 BOUND_VARIABLE_404376 BOUND_VARIABLE_267797)))))) (let ((_let_14465 (forall ((BOUND_VARIABLE_404393 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_404392 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404391 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267786 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10552 BOUND_VARIABLE_404393) BOUND_VARIABLE_404392) BOUND_VARIABLE_404391) BOUND_VARIABLE_267786) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_404393) BOUND_VARIABLE_404392) (ho_4891 BOUND_VARIABLE_404391 BOUND_VARIABLE_267786)))))) (let ((_let_14466 (forall ((BOUND_VARIABLE_404435 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_404434 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404433 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404432 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404431 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404430 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267768 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10562 (ho_10561 (ho_10560 (ho_10559 k_10558 BOUND_VARIABLE_404435) BOUND_VARIABLE_404434) BOUND_VARIABLE_404433) BOUND_VARIABLE_404432) BOUND_VARIABLE_404431) BOUND_VARIABLE_404430) BOUND_VARIABLE_267768) (ho_6671 (ho_10557 (ho_10556 k_10555 (ho_10566 (ho_10565 k_10564 BOUND_VARIABLE_404435) BOUND_VARIABLE_404434)) BOUND_VARIABLE_404433) (ho_4891 (ho_6935 (ho_6934 k_10563 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404432) BOUND_VARIABLE_404431)) BOUND_VARIABLE_404430) BOUND_VARIABLE_267768)))))) (let ((_let_14467 (forall ((BOUND_VARIABLE_404487 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404486 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267755 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10567 BOUND_VARIABLE_404487) BOUND_VARIABLE_404486) BOUND_VARIABLE_267755) (ho_5235 BOUND_VARIABLE_404487 (ho_4593 BOUND_VARIABLE_404486 BOUND_VARIABLE_267755)))))) (let ((_let_14468 (forall ((BOUND_VARIABLE_404503 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_404502 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404501 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267744 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10568 BOUND_VARIABLE_404503) BOUND_VARIABLE_404502) BOUND_VARIABLE_404501) BOUND_VARIABLE_267744) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_404503) BOUND_VARIABLE_404502) (ho_4891 BOUND_VARIABLE_404501 BOUND_VARIABLE_267744)))))) (let ((_let_14469 (forall ((BOUND_VARIABLE_404522 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_404521 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404520 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267732 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10569 BOUND_VARIABLE_404522) BOUND_VARIABLE_404521) BOUND_VARIABLE_404520) BOUND_VARIABLE_267732) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_404522) BOUND_VARIABLE_404521) (ho_4891 BOUND_VARIABLE_404520 BOUND_VARIABLE_267732)))))) (let ((_let_14470 (forall ((BOUND_VARIABLE_404539 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404538 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267722 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10570 BOUND_VARIABLE_404539) BOUND_VARIABLE_404538) BOUND_VARIABLE_267722) (ho_5235 BOUND_VARIABLE_404539 (ho_4593 BOUND_VARIABLE_404538 BOUND_VARIABLE_267722)))))) (let ((_let_14471 (forall ((BOUND_VARIABLE_404555 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_404554 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404553 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267711 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10571 BOUND_VARIABLE_404555) BOUND_VARIABLE_404554) BOUND_VARIABLE_404553) BOUND_VARIABLE_267711) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_404555) BOUND_VARIABLE_404554) (ho_4891 BOUND_VARIABLE_404553 BOUND_VARIABLE_267711)))))) (let ((_let_14472 (forall ((BOUND_VARIABLE_404572 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404571 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267701 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10572 BOUND_VARIABLE_404572) BOUND_VARIABLE_404571) BOUND_VARIABLE_267701) (ho_5235 BOUND_VARIABLE_404572 (ho_4593 BOUND_VARIABLE_404571 BOUND_VARIABLE_267701)))))) (let ((_let_14473 (forall ((BOUND_VARIABLE_404586 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404585 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267692 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10573 BOUND_VARIABLE_404586) BOUND_VARIABLE_404585) BOUND_VARIABLE_267692) (ho_5235 BOUND_VARIABLE_404586 (ho_4593 BOUND_VARIABLE_404585 BOUND_VARIABLE_267692)))))) (let ((_let_14474 (forall ((BOUND_VARIABLE_404600 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404599 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267683 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10574 BOUND_VARIABLE_404600) BOUND_VARIABLE_404599) BOUND_VARIABLE_267683) (ho_5235 BOUND_VARIABLE_404600 (ho_4593 BOUND_VARIABLE_404599 BOUND_VARIABLE_267683)))))) (let ((_let_14475 (forall ((BOUND_VARIABLE_404629 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404628 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404627 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404612 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404611 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404610 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267650 tptp.nat)) (= (ho_5235 (ho_7258 (ho_10579 k_10578 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_404629) BOUND_VARIABLE_404628)) BOUND_VARIABLE_404627) (ho_4593 (ho_10577 (ho_10576 k_10575 (ho_5216 (ho_6585 k_6584 BOUND_VARIABLE_404612) BOUND_VARIABLE_404611)) BOUND_VARIABLE_404610) BOUND_VARIABLE_267650)) (ho_4593 (ho_10577 (ho_10576 (ho_10584 (ho_10583 (ho_10582 (ho_10581 k_10580 BOUND_VARIABLE_404629) BOUND_VARIABLE_404628) BOUND_VARIABLE_404627) BOUND_VARIABLE_404612) BOUND_VARIABLE_404611) BOUND_VARIABLE_404610) BOUND_VARIABLE_267650))))) (let ((_let_14476 (forall ((BOUND_VARIABLE_404678 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404677 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267637 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10585 BOUND_VARIABLE_404678) BOUND_VARIABLE_404677) BOUND_VARIABLE_267637) (ho_5235 BOUND_VARIABLE_404678 (ho_4593 BOUND_VARIABLE_404677 BOUND_VARIABLE_267637)))))) (let ((_let_14477 (forall ((BOUND_VARIABLE_404692 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404691 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267628 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10586 BOUND_VARIABLE_404692) BOUND_VARIABLE_404691) BOUND_VARIABLE_267628) (ho_5235 BOUND_VARIABLE_404692 (ho_4593 BOUND_VARIABLE_404691 BOUND_VARIABLE_267628)))))) (let ((_let_14478 (forall ((BOUND_VARIABLE_404708 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404707 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404706 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267617 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_10587 BOUND_VARIABLE_404708) BOUND_VARIABLE_404707) BOUND_VARIABLE_404706) BOUND_VARIABLE_267617) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_404708) BOUND_VARIABLE_404707) (ho_4593 BOUND_VARIABLE_404706 BOUND_VARIABLE_267617)))))) (let ((_let_14479 (forall ((BOUND_VARIABLE_404731 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404730 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404729 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267605 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 k_10589 BOUND_VARIABLE_404731) BOUND_VARIABLE_404730) BOUND_VARIABLE_404729) BOUND_VARIABLE_267605) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404731) BOUND_VARIABLE_404730) (ho_4855 BOUND_VARIABLE_404729 BOUND_VARIABLE_267605)))))) (let ((_let_14480 (forall ((BOUND_VARIABLE_404748 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404747 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267595 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10590 BOUND_VARIABLE_404748) BOUND_VARIABLE_404747) BOUND_VARIABLE_267595) (ho_5235 BOUND_VARIABLE_404748 (ho_4593 BOUND_VARIABLE_404747 BOUND_VARIABLE_267595)))))) (let ((_let_14481 (forall ((BOUND_VARIABLE_404762 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404761 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267586 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10591 BOUND_VARIABLE_404762) BOUND_VARIABLE_404761) BOUND_VARIABLE_267586) (ho_5235 BOUND_VARIABLE_404762 (ho_4593 BOUND_VARIABLE_404761 BOUND_VARIABLE_267586)))))) (let ((_let_14482 (forall ((BOUND_VARIABLE_404778 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_404777 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404776 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267575 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10592 BOUND_VARIABLE_404778) BOUND_VARIABLE_404777) BOUND_VARIABLE_404776) BOUND_VARIABLE_267575) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_404778) BOUND_VARIABLE_404777) (ho_4891 BOUND_VARIABLE_404776 BOUND_VARIABLE_267575)))))) (let ((_let_14483 (forall ((BOUND_VARIABLE_404795 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404794 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267565 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10593 BOUND_VARIABLE_404795) BOUND_VARIABLE_404794) BOUND_VARIABLE_267565) (ho_5235 BOUND_VARIABLE_404795 (ho_4593 BOUND_VARIABLE_404794 BOUND_VARIABLE_267565)))))) (let ((_let_14484 (forall ((BOUND_VARIABLE_404817 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404816 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404815 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_404814 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_404813 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404812 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267548 tptp.int)) (= (ho_4891 (ho_6935 (ho_10599 (ho_10598 (ho_10597 (ho_10596 (ho_10595 k_10594 BOUND_VARIABLE_404817) BOUND_VARIABLE_404816) BOUND_VARIABLE_404815) BOUND_VARIABLE_404814) BOUND_VARIABLE_404813) BOUND_VARIABLE_404812) BOUND_VARIABLE_267548) (ho_4891 (ho_10606 (ho_10605 k_10604 (ho_10547 (ho_10546 k_10545 BOUND_VARIABLE_404817) BOUND_VARIABLE_404816)) BOUND_VARIABLE_404815) (ho_4914 (ho_7150 (ho_7149 k_10603 (ho_10602 (ho_10601 k_10600 BOUND_VARIABLE_404814) BOUND_VARIABLE_404813)) BOUND_VARIABLE_404812) BOUND_VARIABLE_267548)))))) (let ((_let_14485 (forall ((BOUND_VARIABLE_404882 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404881 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267535 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10607 BOUND_VARIABLE_404882) BOUND_VARIABLE_404881) BOUND_VARIABLE_267535) (ho_5235 BOUND_VARIABLE_404882 (ho_4593 BOUND_VARIABLE_404881 BOUND_VARIABLE_267535)))))) (let ((_let_14486 (forall ((BOUND_VARIABLE_404904 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404903 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404902 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404901 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404900 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404899 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267519 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 (ho_10544 (ho_10543 (ho_10542 k_10608 BOUND_VARIABLE_404904) BOUND_VARIABLE_404903) BOUND_VARIABLE_404902) BOUND_VARIABLE_404901) BOUND_VARIABLE_404900) BOUND_VARIABLE_404899) BOUND_VARIABLE_267519) (ho_4855 (ho_10540 (ho_10539 k_10538 (ho_10547 (ho_10546 k_10545 BOUND_VARIABLE_404904) BOUND_VARIABLE_404903)) BOUND_VARIABLE_404902) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404901) BOUND_VARIABLE_404900) (ho_4855 BOUND_VARIABLE_404899 BOUND_VARIABLE_267519))))))) (let ((_let_14487 (forall ((BOUND_VARIABLE_404931 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404928 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404927 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404925 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267488 tptp.nat)) (= (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404931) (ho_5216 (ho_6585 k_6586 BOUND_VARIABLE_404928) BOUND_VARIABLE_404927)) (ho_4855 BOUND_VARIABLE_404925 BOUND_VARIABLE_267488)) (ho_4855 (ho_6932 (ho_10537 (ho_10611 (ho_10610 k_10609 BOUND_VARIABLE_404931) BOUND_VARIABLE_404928) BOUND_VARIABLE_404927) BOUND_VARIABLE_404925) BOUND_VARIABLE_267488))))) (let ((_let_14488 (forall ((BOUND_VARIABLE_404961 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404960 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267477 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10612 BOUND_VARIABLE_404961) BOUND_VARIABLE_404960) BOUND_VARIABLE_267477) (ho_5235 BOUND_VARIABLE_404961 (ho_4593 BOUND_VARIABLE_404960 BOUND_VARIABLE_267477)))))) (let ((_let_14489 (forall ((BOUND_VARIABLE_404977 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_404974 |u_(-> Bool Bool)|) (BOUND_VARIABLE_404973 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_404971 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267450 tptp.nat)) (= (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_404977) (ho_5216 (ho_6585 k_6587 BOUND_VARIABLE_404974) BOUND_VARIABLE_404973)) (ho_4855 BOUND_VARIABLE_404971 BOUND_VARIABLE_267450)) (ho_4855 (ho_6932 (ho_10537 (ho_10611 (ho_10610 k_10613 BOUND_VARIABLE_404977) BOUND_VARIABLE_404974) BOUND_VARIABLE_404973) BOUND_VARIABLE_404971) BOUND_VARIABLE_267450))))) (let ((_let_14490 (forall ((BOUND_VARIABLE_405007 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_405006 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405005 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405004 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_405003 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405002 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267431 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10562 (ho_10561 (ho_10560 (ho_10559 k_10614 BOUND_VARIABLE_405007) BOUND_VARIABLE_405006) BOUND_VARIABLE_405005) BOUND_VARIABLE_405004) BOUND_VARIABLE_405003) BOUND_VARIABLE_405002) BOUND_VARIABLE_267431) (ho_6671 (ho_10557 (ho_10556 k_10555 (ho_10566 (ho_10565 k_10564 BOUND_VARIABLE_405007) BOUND_VARIABLE_405006)) BOUND_VARIABLE_405005) (ho_4891 (ho_6935 (ho_6934 k_10563 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_405004) BOUND_VARIABLE_405003)) BOUND_VARIABLE_405002) BOUND_VARIABLE_267431)))))) (let ((_let_14491 (forall ((BOUND_VARIABLE_405035 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_405032 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405031 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405029 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267400 tptp.int)) (= (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_405035) (ho_5216 (ho_6585 k_6588 BOUND_VARIABLE_405032) BOUND_VARIABLE_405031)) (ho_4891 BOUND_VARIABLE_405029 BOUND_VARIABLE_267400)) (ho_5439 (ho_6939 (ho_10554 (ho_10617 (ho_10616 k_10615 BOUND_VARIABLE_405035) BOUND_VARIABLE_405032) BOUND_VARIABLE_405031) BOUND_VARIABLE_405029) BOUND_VARIABLE_267400))))) (let ((_let_14492 (forall ((BOUND_VARIABLE_405067 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_405066 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405065 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267387 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10618 BOUND_VARIABLE_405067) BOUND_VARIABLE_405066) BOUND_VARIABLE_405065) BOUND_VARIABLE_267387) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_405067) BOUND_VARIABLE_405066) (ho_4891 BOUND_VARIABLE_405065 BOUND_VARIABLE_267387)))))) (let ((_let_14493 (forall ((BOUND_VARIABLE_405086 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_405083 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405082 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405080 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267359 tptp.int)) (= (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_405086) (ho_5216 (ho_6585 k_6589 BOUND_VARIABLE_405083) BOUND_VARIABLE_405082)) (ho_4891 BOUND_VARIABLE_405080 BOUND_VARIABLE_267359)) (ho_5439 (ho_6939 (ho_10554 (ho_10617 (ho_10616 k_10619 BOUND_VARIABLE_405086) BOUND_VARIABLE_405083) BOUND_VARIABLE_405082) BOUND_VARIABLE_405080) BOUND_VARIABLE_267359))))) (let ((_let_14494 (forall ((BOUND_VARIABLE_405108 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405107 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267348 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10620 BOUND_VARIABLE_405108) BOUND_VARIABLE_405107) BOUND_VARIABLE_267348) (ho_5235 BOUND_VARIABLE_405108 (ho_4593 BOUND_VARIABLE_405107 BOUND_VARIABLE_267348)))))) (let ((_let_14495 (forall ((BOUND_VARIABLE_405124 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_405121 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405120 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405118 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267321 tptp.int)) (= (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_405124) (ho_5216 (ho_6585 k_6590 BOUND_VARIABLE_405121) BOUND_VARIABLE_405120)) (ho_4891 BOUND_VARIABLE_405118 BOUND_VARIABLE_267321)) (ho_5439 (ho_6939 (ho_10554 (ho_10617 (ho_10616 k_10621 BOUND_VARIABLE_405124) BOUND_VARIABLE_405121) BOUND_VARIABLE_405120) BOUND_VARIABLE_405118) BOUND_VARIABLE_267321))))) (let ((_let_14496 (forall ((BOUND_VARIABLE_405152 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405151 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405150 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405144 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405143 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405142 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267286 tptp.nat)) (= (ho_5235 (ho_7258 (ho_10579 k_10578 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_405152) BOUND_VARIABLE_405151)) BOUND_VARIABLE_405150) (ho_4593 (ho_10577 (ho_10576 k_10575 (ho_5216 (ho_6585 k_6591 BOUND_VARIABLE_405144) BOUND_VARIABLE_405143)) BOUND_VARIABLE_405142) BOUND_VARIABLE_267286)) (ho_4593 (ho_10577 (ho_10576 (ho_10584 (ho_10583 (ho_10582 (ho_10581 k_10622 BOUND_VARIABLE_405152) BOUND_VARIABLE_405151) BOUND_VARIABLE_405150) BOUND_VARIABLE_405144) BOUND_VARIABLE_405143) BOUND_VARIABLE_405142) BOUND_VARIABLE_267286))))) (let ((_let_14497 (forall ((BOUND_VARIABLE_405182 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405181 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405180 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267272 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_10623 BOUND_VARIABLE_405182) BOUND_VARIABLE_405181) BOUND_VARIABLE_405180) BOUND_VARIABLE_267272) (ho_5235 BOUND_VARIABLE_405182 (ho_5235 BOUND_VARIABLE_405181 (ho_4593 BOUND_VARIABLE_405180 BOUND_VARIABLE_267272))))))) (let ((_let_14498 (forall ((BOUND_VARIABLE_405200 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405199 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405198 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267260 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_10624 BOUND_VARIABLE_405200) BOUND_VARIABLE_405199) BOUND_VARIABLE_405198) BOUND_VARIABLE_267260) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_405200) BOUND_VARIABLE_405199) (ho_4593 BOUND_VARIABLE_405198 BOUND_VARIABLE_267260)))))) (let ((_let_14499 (forall ((BOUND_VARIABLE_405219 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_405218 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405217 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267248 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 k_10625 BOUND_VARIABLE_405219) BOUND_VARIABLE_405218) BOUND_VARIABLE_405217) BOUND_VARIABLE_267248) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_405219) BOUND_VARIABLE_405218) (ho_4855 BOUND_VARIABLE_405217 BOUND_VARIABLE_267248)))))) (let ((_let_14500 (forall ((BOUND_VARIABLE_405238 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405237 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405236 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267237 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_10626 BOUND_VARIABLE_405238) BOUND_VARIABLE_405237) BOUND_VARIABLE_405236) BOUND_VARIABLE_267237) (ho_5235 BOUND_VARIABLE_405238 (ho_5235 BOUND_VARIABLE_405237 (ho_4593 BOUND_VARIABLE_405236 BOUND_VARIABLE_267237))))))) (let ((_let_14501 (forall ((BOUND_VARIABLE_405256 |u_(-> Bool tptp.num)|) (BOUND_VARIABLE_405255 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405254 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267225 tptp.int)) (= (ho_5439 (ho_6939 (ho_10554 (ho_10553 k_10627 BOUND_VARIABLE_405256) BOUND_VARIABLE_405255) BOUND_VARIABLE_405254) BOUND_VARIABLE_267225) (ho_6671 (ho_10557 (ho_10556 k_10555 BOUND_VARIABLE_405256) BOUND_VARIABLE_405255) (ho_4891 BOUND_VARIABLE_405254 BOUND_VARIABLE_267225)))))) (let ((_let_14502 (forall ((BOUND_VARIABLE_405275 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405274 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405273 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267214 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_10628 BOUND_VARIABLE_405275) BOUND_VARIABLE_405274) BOUND_VARIABLE_405273) BOUND_VARIABLE_267214) (ho_5235 BOUND_VARIABLE_405275 (ho_5235 BOUND_VARIABLE_405274 (ho_4593 BOUND_VARIABLE_405273 BOUND_VARIABLE_267214))))))) (let ((_let_14503 (forall ((BOUND_VARIABLE_405299 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_405298 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405297 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_405296 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_405295 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405294 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_267196 tptp.int)) (= (ho_4891 (ho_6935 (ho_10599 (ho_10598 (ho_10597 (ho_10596 (ho_10595 k_10629 BOUND_VARIABLE_405299) BOUND_VARIABLE_405298) BOUND_VARIABLE_405297) BOUND_VARIABLE_405296) BOUND_VARIABLE_405295) BOUND_VARIABLE_405294) BOUND_VARIABLE_267196) (ho_4891 (ho_10606 (ho_10605 k_10604 (ho_10547 (ho_10546 k_10545 BOUND_VARIABLE_405299) BOUND_VARIABLE_405298)) BOUND_VARIABLE_405297) (ho_4914 (ho_7150 (ho_7149 k_10603 (ho_10602 (ho_10601 k_10600 BOUND_VARIABLE_405296) BOUND_VARIABLE_405295)) BOUND_VARIABLE_405294) BOUND_VARIABLE_267196)))))) (let ((_let_14504 (forall ((BOUND_VARIABLE_405325 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405324 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267183 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10630 BOUND_VARIABLE_405325) BOUND_VARIABLE_405324) BOUND_VARIABLE_267183) (ho_5235 BOUND_VARIABLE_405325 (ho_4593 BOUND_VARIABLE_405324 BOUND_VARIABLE_267183)))))) (let ((_let_14505 (forall ((BOUND_VARIABLE_405339 |u_(-> Bool Bool)|) (BOUND_VARIABLE_405338 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_267174 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10631 BOUND_VARIABLE_405339) BOUND_VARIABLE_405338) BOUND_VARIABLE_267174) (ho_5235 BOUND_VARIABLE_405339 (ho_4593 BOUND_VARIABLE_405338 BOUND_VARIABLE_267174)))))) (let ((_let_14506 (forall ((BOUND_VARIABLE_405357 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_405356 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_405355 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_405354 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_267162 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 (ho_10633 k_10632 BOUND_VARIABLE_405357) BOUND_VARIABLE_405356) BOUND_VARIABLE_405355) BOUND_VARIABLE_405354) BOUND_VARIABLE_267162) (ho_4855 BOUND_VARIABLE_405357 (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_405356) BOUND_VARIABLE_405355) (ho_4855 BOUND_VARIABLE_405354 BOUND_VARIABLE_267162))))))) (let ((_let_14507 (forall ((BOUND_VARIABLE_267151 tptp.heap_e7401611519738050253t_unit)) (= (ho_10424 k_10634 BOUND_VARIABLE_267151) (ho_10424 (ho_10426 k_10425 BOUND_VARIABLE_267151) BOUND_VARIABLE_267151))))) (let ((_let_14508 (forall ((BOUND_VARIABLE_267144 tptp.ref_a)) (= (ho_10420 k_10635 BOUND_VARIABLE_267144) (ho_10420 (ho_10422 k_10421 BOUND_VARIABLE_267144) BOUND_VARIABLE_267144))))) (let ((_let_14509 (forall ((BOUND_VARIABLE_405394 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_267135 tptp.int) (BOUND_VARIABLE_267136 tptp.nat)) (let ((_let_1 (ho_10636 BOUND_VARIABLE_405394 BOUND_VARIABLE_267135))) (= (ho_4855 (ho_10636 (ho_10638 k_10637 BOUND_VARIABLE_405394) BOUND_VARIABLE_267135) BOUND_VARIABLE_267136) (ho_4855 _let_1 (ho_4855 _let_1 BOUND_VARIABLE_267136))))))) (let ((_let_14510 (forall ((BOUND_VARIABLE_405414 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_267125 tptp.nat) (BOUND_VARIABLE_267126 tptp.nat)) (let ((_let_1 (ho_5457 BOUND_VARIABLE_405414 BOUND_VARIABLE_267125))) (= (ho_4855 (ho_5457 (ho_10640 k_10639 BOUND_VARIABLE_405414) BOUND_VARIABLE_267125) BOUND_VARIABLE_267126) (ho_4855 _let_1 (ho_4855 _let_1 BOUND_VARIABLE_267126))))))) (let ((_let_14511 (forall ((BOUND_VARIABLE_405433 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_267115 Bool) (BOUND_VARIABLE_267116 tptp.nat)) (let ((_let_1 (ho_10641 BOUND_VARIABLE_405433 BOUND_VARIABLE_267115))) (= (ho_4855 (ho_10641 (ho_10643 k_10642 BOUND_VARIABLE_405433) BOUND_VARIABLE_267115) BOUND_VARIABLE_267116) (ho_4855 _let_1 (ho_4855 _let_1 BOUND_VARIABLE_267116))))))) (let ((_let_14512 (forall ((BOUND_VARIABLE_405454 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_267105 tptp.product_prod_nat_nat) (BOUND_VARIABLE_267106 tptp.nat)) (let ((_let_1 (ho_10644 BOUND_VARIABLE_405454 BOUND_VARIABLE_267105))) (= (ho_4855 (ho_10644 (ho_10646 k_10645 BOUND_VARIABLE_405454) BOUND_VARIABLE_267105) BOUND_VARIABLE_267106) (ho_4855 _let_1 (ho_4855 _let_1 BOUND_VARIABLE_267106))))))) (let ((_let_14513 (forall ((BOUND_VARIABLE_405475 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_267095 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_267096 tptp.nat)) (let ((_let_1 (ho_10647 BOUND_VARIABLE_405475 BOUND_VARIABLE_267095))) (= (ho_4855 (ho_10647 (ho_10649 k_10648 BOUND_VARIABLE_405475) BOUND_VARIABLE_267095) BOUND_VARIABLE_267096) (ho_4855 _let_1 (ho_4855 _let_1 BOUND_VARIABLE_267096))))))) (let ((_let_14514 (forall ((BOUND_VARIABLE_267086 tptp.ref_a) (BOUND_VARIABLE_267087 tptp.heap_e7401611519738050253t_unit)) (= (ho_10652 (ho_10651 k_10650 BOUND_VARIABLE_267086) BOUND_VARIABLE_267087) (ho_10655 (ho_10654 k_10653 BOUND_VARIABLE_267087) BOUND_VARIABLE_267086))))) (let ((_let_14515 (forall ((BOUND_VARIABLE_267078 tptp.nat) (BOUND_VARIABLE_267079 tptp.nat)) (= (ho_4518 (ho_4517 k_10656 BOUND_VARIABLE_267078) BOUND_VARIABLE_267079) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_267079) BOUND_VARIABLE_267078))))) (let ((_let_14516 (forall ((BOUND_VARIABLE_267070 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_267071 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 (ho_4497 k_10657 BOUND_VARIABLE_267070) BOUND_VARIABLE_267071) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_267071) BOUND_VARIABLE_267070))))) (let ((_let_14517 (forall ((BOUND_VARIABLE_267062 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_267063 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 (ho_6282 k_10658 BOUND_VARIABLE_267062) BOUND_VARIABLE_267063) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_267063) BOUND_VARIABLE_267062))))) (let ((_let_14518 (forall ((BOUND_VARIABLE_267054 tptp.ref_a) (BOUND_VARIABLE_267055 tptp.heap_e7401611519738050253t_unit)) (= (ho_10652 (ho_10651 k_10659 BOUND_VARIABLE_267054) BOUND_VARIABLE_267055) (ho_10655 (ho_10654 k_10653 BOUND_VARIABLE_267055) BOUND_VARIABLE_267054))))) (let ((_let_14519 (forall ((BOUND_VARIABLE_405556 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_405555 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_267045 tptp.code_integer) (BOUND_VARIABLE_267046 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_10660 BOUND_VARIABLE_405556) BOUND_VARIABLE_405555) BOUND_VARIABLE_267045) BOUND_VARIABLE_267046) (ho_5405 (ho_5413 BOUND_VARIABLE_405556 (ho_5398 BOUND_VARIABLE_405555 BOUND_VARIABLE_267045)) BOUND_VARIABLE_267046))))) (let ((_let_14520 (forall ((BOUND_VARIABLE_267036 tptp.int)) (= (ho_4604 k_10661 BOUND_VARIABLE_267036) (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_267036) BOUND_VARIABLE_267036))))) (let ((_let_14521 (forall ((BOUND_VARIABLE_267029 tptp.nat)) (= (ho_4518 k_10662 BOUND_VARIABLE_267029) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_267029) BOUND_VARIABLE_267029))))) (let ((_let_14522 (forall ((BOUND_VARIABLE_267022 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 k_10663 BOUND_VARIABLE_267022) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_267022) BOUND_VARIABLE_267022))))) (let ((_let_14523 (forall ((BOUND_VARIABLE_267015 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 k_10664 BOUND_VARIABLE_267015) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_267015) BOUND_VARIABLE_267015))))) (let ((_let_14524 (forall ((BOUND_VARIABLE_267008 tptp.num)) (= (ho_10666 k_10665 BOUND_VARIABLE_267008) (ho_10666 (ho_10668 k_10667 BOUND_VARIABLE_267008) BOUND_VARIABLE_267008))))) (let ((_let_14525 (forall ((BOUND_VARIABLE_267001 Bool)) (= (ho_10670 k_10669 BOUND_VARIABLE_267001) (ho_10670 (ho_10672 k_10671 BOUND_VARIABLE_267001) BOUND_VARIABLE_267001))))) (let ((_let_14526 (forall ((BOUND_VARIABLE_266994 tptp.int)) (= (ho_4604 k_10673 BOUND_VARIABLE_266994) (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_266994) BOUND_VARIABLE_266994))))) (let ((_let_14527 (forall ((BOUND_VARIABLE_266987 tptp.nat)) (= (ho_4518 k_10674 BOUND_VARIABLE_266987) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_266987) BOUND_VARIABLE_266987))))) (let ((_let_14528 (forall ((BOUND_VARIABLE_266980 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 k_10675 BOUND_VARIABLE_266980) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_266980) BOUND_VARIABLE_266980))))) (let ((_let_14529 (forall ((BOUND_VARIABLE_266973 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 k_10676 BOUND_VARIABLE_266973) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_266973) BOUND_VARIABLE_266973))))) (let ((_let_14530 (forall ((BOUND_VARIABLE_266966 tptp.num)) (= (ho_10666 k_10677 BOUND_VARIABLE_266966) (ho_10666 (ho_10668 k_10667 BOUND_VARIABLE_266966) BOUND_VARIABLE_266966))))) (let ((_let_14531 (forall ((BOUND_VARIABLE_266959 Bool)) (= (ho_10670 k_10678 BOUND_VARIABLE_266959) (ho_10670 (ho_10672 k_10671 BOUND_VARIABLE_266959) BOUND_VARIABLE_266959))))) (let ((_let_14532 (forall ((BOUND_VARIABLE_266952 Bool) (BOUND_VARIABLE_266953 Bool)) (= (= BOUND_VARIABLE_266952 BOUND_VARIABLE_266953) (ho_5235 (ho_6701 k_10679 BOUND_VARIABLE_266952) BOUND_VARIABLE_266953))))) (let ((_let_14533 (forall ((BOUND_VARIABLE_266945 Bool) (BOUND_VARIABLE_266946 Bool)) (= (= BOUND_VARIABLE_266945 BOUND_VARIABLE_266946) (ho_5235 (ho_6701 k_10680 BOUND_VARIABLE_266945) BOUND_VARIABLE_266946))))) (let ((_let_14534 (forall ((BOUND_VARIABLE_266938 Bool) (BOUND_VARIABLE_266939 Bool)) (= (= BOUND_VARIABLE_266938 BOUND_VARIABLE_266939) (ho_5235 (ho_6701 k_10681 BOUND_VARIABLE_266938) BOUND_VARIABLE_266939))))) (let ((_let_14535 (forall ((BOUND_VARIABLE_405689 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266929 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10682 BOUND_VARIABLE_405689) BOUND_VARIABLE_266929) (ho_5218 (ho_5250 BOUND_VARIABLE_405689 (ho_5531 k_5530 BOUND_VARIABLE_266929)) (ho_5531 k_5532 BOUND_VARIABLE_266929)))))) (let ((_let_14536 (forall ((BOUND_VARIABLE_266921 Bool) (BOUND_VARIABLE_266922 Bool)) (= (= BOUND_VARIABLE_266921 BOUND_VARIABLE_266922) (ho_5235 (ho_6701 k_10683 BOUND_VARIABLE_266921) BOUND_VARIABLE_266922))))) (let ((_let_14537 (forall ((BOUND_VARIABLE_405709 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266912 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10684 BOUND_VARIABLE_405709) BOUND_VARIABLE_266912) (ho_5218 (ho_5250 BOUND_VARIABLE_405709 (ho_5531 k_5530 BOUND_VARIABLE_266912)) (ho_5531 k_5532 BOUND_VARIABLE_266912)))))) (let ((_let_14538 (forall ((BOUND_VARIABLE_266904 Bool) (BOUND_VARIABLE_266905 Bool)) (= (= BOUND_VARIABLE_266904 BOUND_VARIABLE_266905) (ho_5235 (ho_6701 k_10685 BOUND_VARIABLE_266904) BOUND_VARIABLE_266905))))) (let ((_let_14539 (forall ((BOUND_VARIABLE_266897 Bool) (BOUND_VARIABLE_266898 Bool)) (= (= BOUND_VARIABLE_266897 BOUND_VARIABLE_266898) (ho_5235 (ho_6701 k_10686 BOUND_VARIABLE_266897) BOUND_VARIABLE_266898))))) (let ((_let_14540 (forall ((BOUND_VARIABLE_266890 Bool) (BOUND_VARIABLE_266891 Bool)) (= (= BOUND_VARIABLE_266890 BOUND_VARIABLE_266891) (ho_5235 (ho_6701 k_10687 BOUND_VARIABLE_266890) BOUND_VARIABLE_266891))))) (let ((_let_14541 (forall ((BOUND_VARIABLE_405743 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266881 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10688 BOUND_VARIABLE_405743) BOUND_VARIABLE_266881) (ho_5218 (ho_5250 BOUND_VARIABLE_405743 (ho_5531 k_5530 BOUND_VARIABLE_266881)) (ho_5531 k_5532 BOUND_VARIABLE_266881)))))) (let ((_let_14542 (forall ((BOUND_VARIABLE_405756 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266871 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10689 BOUND_VARIABLE_405756) BOUND_VARIABLE_266871) (ho_5218 (ho_5250 BOUND_VARIABLE_405756 (ho_5531 k_5530 BOUND_VARIABLE_266871)) (ho_5531 k_5532 BOUND_VARIABLE_266871)))))) (let ((_let_14543 (forall ((BOUND_VARIABLE_266863 Bool) (BOUND_VARIABLE_266864 Bool)) (= (= BOUND_VARIABLE_266863 BOUND_VARIABLE_266864) (ho_5235 (ho_6701 k_10690 BOUND_VARIABLE_266863) BOUND_VARIABLE_266864))))) (let ((_let_14544 (forall ((BOUND_VARIABLE_405776 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266854 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10691 BOUND_VARIABLE_405776) BOUND_VARIABLE_266854) (ho_5218 (ho_5250 BOUND_VARIABLE_405776 (ho_5531 k_5530 BOUND_VARIABLE_266854)) (ho_5531 k_5532 BOUND_VARIABLE_266854)))))) (let ((_let_14545 (forall ((BOUND_VARIABLE_266846 Bool) (BOUND_VARIABLE_266847 Bool)) (= (= BOUND_VARIABLE_266846 BOUND_VARIABLE_266847) (ho_5235 (ho_6701 k_10692 BOUND_VARIABLE_266846) BOUND_VARIABLE_266847))))) (let ((_let_14546 (forall ((BOUND_VARIABLE_405796 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266837 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10693 BOUND_VARIABLE_405796) BOUND_VARIABLE_266837) (ho_5218 (ho_5250 BOUND_VARIABLE_405796 (ho_5531 k_5530 BOUND_VARIABLE_266837)) (ho_5531 k_5532 BOUND_VARIABLE_266837)))))) (let ((_let_14547 (forall ((BOUND_VARIABLE_266829 Bool) (BOUND_VARIABLE_266830 Bool)) (= (= BOUND_VARIABLE_266829 BOUND_VARIABLE_266830) (ho_5235 (ho_6701 k_10694 BOUND_VARIABLE_266829) BOUND_VARIABLE_266830))))) (let ((_let_14548 (forall ((BOUND_VARIABLE_266813 tptp.set_int) (BOUND_VARIABLE_266814 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_266814)) (ho_4899 (ho_4898 k_4897 k_6606) BOUND_VARIABLE_266813))) (ho_4599 (ho_4924 k_10695 BOUND_VARIABLE_266813) BOUND_VARIABLE_266814))))) (let ((_let_14549 (forall ((BOUND_VARIABLE_266797 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_266798 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_266798)) (ho_4533 (ho_4532 k_4531 k_6607) BOUND_VARIABLE_266797))) (ho_4544 (ho_4543 k_10696 BOUND_VARIABLE_266797) BOUND_VARIABLE_266798))))) (let ((_let_14550 (forall ((BOUND_VARIABLE_266781 tptp.set_int) (BOUND_VARIABLE_266782 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_266782)) (ho_4899 (ho_4898 k_4897 k_6606) BOUND_VARIABLE_266781))) (ho_4599 (ho_4924 k_10697 BOUND_VARIABLE_266781) BOUND_VARIABLE_266782))))) (let ((_let_14551 (forall ((BOUND_VARIABLE_266765 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_266766 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_266766)) (ho_4533 (ho_4532 k_4531 k_6607) BOUND_VARIABLE_266765))) (ho_4544 (ho_4543 k_10698 BOUND_VARIABLE_266765) BOUND_VARIABLE_266766))))) (let ((_let_14552 (forall ((BOUND_VARIABLE_266749 tptp.set_int) (BOUND_VARIABLE_266750 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_266750)) (ho_4899 (ho_4898 k_4897 k_6606) BOUND_VARIABLE_266749))) (ho_4599 (ho_4924 k_10699 BOUND_VARIABLE_266749) BOUND_VARIABLE_266750))))) (let ((_let_14553 (forall ((BOUND_VARIABLE_266733 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_266734 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_266734)) (ho_4533 (ho_4532 k_4531 k_6607) BOUND_VARIABLE_266733))) (ho_4544 (ho_4543 k_10700 BOUND_VARIABLE_266733) BOUND_VARIABLE_266734))))) (let ((_let_14554 (forall ((BOUND_VARIABLE_405893 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_405892 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_266717 tptp.int) (BOUND_VARIABLE_266718 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_10701 BOUND_VARIABLE_405893) BOUND_VARIABLE_405892) BOUND_VARIABLE_266717) BOUND_VARIABLE_266718) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 k_10702 BOUND_VARIABLE_405893) BOUND_VARIABLE_266717) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_405892 B4) BOUND_VARIABLE_266718))))))))) (let ((_let_14555 (forall ((BOUND_VARIABLE_405924 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_405923 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_405922 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_405921 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_405920 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_266693 tptp.int) (BOUND_VARIABLE_266694 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_10707 (ho_10706 (ho_10705 (ho_10704 k_10703 BOUND_VARIABLE_405924) BOUND_VARIABLE_405923) BOUND_VARIABLE_405922) BOUND_VARIABLE_405921) BOUND_VARIABLE_405920) BOUND_VARIABLE_266693) BOUND_VARIABLE_266694) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 k_10702 (ho_7125 (ho_10711 (ho_10710 k_10709 BOUND_VARIABLE_405922) BOUND_VARIABLE_405924) BOUND_VARIABLE_405923)) BOUND_VARIABLE_266693) B4)) (not (ho_6488 (ho_6484 (ho_6487 (ho_10707 (ho_10706 k_10708 BOUND_VARIABLE_405922) BOUND_VARIABLE_405921) BOUND_VARIABLE_405920) B4) BOUND_VARIABLE_266694))))))))) (let ((_let_14556 (forall ((BOUND_VARIABLE_405983 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_405982 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_266672 tptp.int) (BOUND_VARIABLE_266673 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_10712 BOUND_VARIABLE_405983) BOUND_VARIABLE_405982) BOUND_VARIABLE_266672) BOUND_VARIABLE_266673) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 k_10702 BOUND_VARIABLE_405983) BOUND_VARIABLE_266672) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_405982 B4) BOUND_VARIABLE_266673))))))))) (let ((_let_14557 (forall ((BOUND_VARIABLE_406016 |u_(-> tptp.product_prod_nat_nat tptp.int)|) (BOUND_VARIABLE_406015 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_406014 |u_(-> tptp.product_prod_nat_nat tptp.int)|) (BOUND_VARIABLE_406011 |u_(-> tptp.int tptp.code_integer)|) (BOUND_VARIABLE_406009 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_266648 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266649 tptp.int)) (= (ho_5218 (ho_5383 (ho_10719 (ho_10718 (ho_10717 (ho_10716 (ho_10715 k_10714 BOUND_VARIABLE_406016) BOUND_VARIABLE_406015) BOUND_VARIABLE_406014) BOUND_VARIABLE_406011) BOUND_VARIABLE_406009) BOUND_VARIABLE_266648) BOUND_VARIABLE_266649) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 k_10725 (ho_10724 (ho_10723 (ho_10722 k_10721 BOUND_VARIABLE_406014) BOUND_VARIABLE_406016) BOUND_VARIABLE_406015)) BOUND_VARIABLE_266648) B4)) (not (ho_5218 (ho_5383 (ho_10719 (ho_10718 (ho_10717 k_10720 BOUND_VARIABLE_406014) BOUND_VARIABLE_406011) BOUND_VARIABLE_406009) B4) BOUND_VARIABLE_266649))))))))) (let ((_let_14558 (forall ((BOUND_VARIABLE_406084 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_406083 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_266627 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266628 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_10726 BOUND_VARIABLE_406084) BOUND_VARIABLE_406083) BOUND_VARIABLE_266627) BOUND_VARIABLE_266628) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 k_10725 BOUND_VARIABLE_406084) BOUND_VARIABLE_266627) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_406083 B4) BOUND_VARIABLE_266628))))))))) (let ((_let_14559 (forall ((BOUND_VARIABLE_406126 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_406125 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_406105 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_406104 |u_(-> tptp.code_integer tptp.int)|) (BOUND_VARIABLE_406103 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_266552 tptp.int) (BOUND_VARIABLE_266553 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 k_10702 (ho_6598 (ho_6597 (ho_6596 k_6595 BOUND_VARIABLE_406105) BOUND_VARIABLE_406126) BOUND_VARIABLE_406125)) BOUND_VARIABLE_266552) B4)) (not (ho_6488 (ho_6484 (ho_10730 (ho_10729 (ho_10728 k_10727 BOUND_VARIABLE_406105) BOUND_VARIABLE_406104) BOUND_VARIABLE_406103) B4) BOUND_VARIABLE_266553))))) (ho_6488 (ho_6484 (ho_10730 (ho_10729 (ho_10728 (ho_10733 (ho_10732 k_10731 BOUND_VARIABLE_406126) BOUND_VARIABLE_406125) BOUND_VARIABLE_406105) BOUND_VARIABLE_406104) BOUND_VARIABLE_406103) BOUND_VARIABLE_266552) BOUND_VARIABLE_266553))))) (let ((_let_14560 (forall ((BOUND_VARIABLE_266541 tptp.nat) (BOUND_VARIABLE_266542 tptp.nat)) (ho_4593 (ho_4511 k_10734 BOUND_VARIABLE_266541) BOUND_VARIABLE_266542)))) (let ((_let_14561 (forall ((BOUND_VARIABLE_406174 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_406173 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_266525 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266526 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_10735 BOUND_VARIABLE_406174) BOUND_VARIABLE_406173) BOUND_VARIABLE_266525) BOUND_VARIABLE_266526) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 k_10725 BOUND_VARIABLE_406174) BOUND_VARIABLE_266525) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_406173 B4) BOUND_VARIABLE_266526))))))))) (let ((_let_14562 (forall ((BOUND_VARIABLE_406204 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_406203 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_406202 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_406201 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406200 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_266501 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266502 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_10740 (ho_10739 (ho_10738 (ho_10737 k_10736 BOUND_VARIABLE_406204) BOUND_VARIABLE_406203) BOUND_VARIABLE_406202) BOUND_VARIABLE_406201) BOUND_VARIABLE_406200) BOUND_VARIABLE_266501) BOUND_VARIABLE_266502) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 k_10725 (ho_7132 (ho_10744 (ho_10743 k_10742 BOUND_VARIABLE_406202) BOUND_VARIABLE_406204) BOUND_VARIABLE_406203)) BOUND_VARIABLE_266501) B4)) (not (ho_5218 (ho_5383 (ho_6483 (ho_10740 (ho_10739 k_10741 BOUND_VARIABLE_406202) BOUND_VARIABLE_406201) BOUND_VARIABLE_406200) B4) BOUND_VARIABLE_266502))))))))) (let ((_let_14563 (forall ((BOUND_VARIABLE_406260 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_266487 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_10745 BOUND_VARIABLE_406260) BOUND_VARIABLE_266487) (ho_4914 (ho_5432 BOUND_VARIABLE_406260 (ho_5531 k_5530 BOUND_VARIABLE_266487)) (ho_5531 k_5532 BOUND_VARIABLE_266487)))))) (let ((_let_14564 (forall ((BOUND_VARIABLE_406279 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406278 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_266475 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 k_10747 BOUND_VARIABLE_406279) BOUND_VARIABLE_406278) BOUND_VARIABLE_266475) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_406279 (ho_5531 k_5530 BOUND_VARIABLE_266475))) (ho_4914 BOUND_VARIABLE_406278 (ho_5531 k_5532 BOUND_VARIABLE_266475))))))) (let ((_let_14565 (forall ((BOUND_VARIABLE_406310 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_406309 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406308 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_266462 tptp.product_prod_int_int)) (= (ho_5531 (ho_10754 (ho_10753 (ho_10752 k_10751 BOUND_VARIABLE_406310) BOUND_VARIABLE_406309) BOUND_VARIABLE_406308) BOUND_VARIABLE_266462) (ho_4914 (ho_5432 BOUND_VARIABLE_406310 (ho_4914 BOUND_VARIABLE_406309 (ho_5531 k_5530 BOUND_VARIABLE_266462))) (ho_4914 BOUND_VARIABLE_406308 (ho_5531 k_5532 BOUND_VARIABLE_266462))))))) (let ((_let_14566 (forall ((BOUND_VARIABLE_406339 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_266450 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10755 BOUND_VARIABLE_406339) BOUND_VARIABLE_266450) (ho_5218 (ho_5250 BOUND_VARIABLE_406339 (ho_5531 k_5530 BOUND_VARIABLE_266450)) (ho_5531 k_5532 BOUND_VARIABLE_266450)))))) (let ((_let_14567 (forall ((BOUND_VARIABLE_406354 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406353 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_266438 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 k_10756 BOUND_VARIABLE_406354) BOUND_VARIABLE_406353) BOUND_VARIABLE_266438) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_406354 (ho_5531 k_5530 BOUND_VARIABLE_266438))) (ho_4914 BOUND_VARIABLE_406353 (ho_5531 k_5532 BOUND_VARIABLE_266438))))))) (let ((_let_14568 (forall ((BOUND_VARIABLE_406374 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_406373 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406372 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_266425 tptp.product_prod_int_int)) (= (ho_4599 (ho_5529 (ho_10759 (ho_10758 k_10757 BOUND_VARIABLE_406374) BOUND_VARIABLE_406373) BOUND_VARIABLE_406372) BOUND_VARIABLE_266425) (ho_5218 (ho_5250 BOUND_VARIABLE_406374 (ho_4914 BOUND_VARIABLE_406373 (ho_5531 k_5530 BOUND_VARIABLE_266425))) (ho_4914 BOUND_VARIABLE_406372 (ho_5531 k_5532 BOUND_VARIABLE_266425))))))) (let ((_let_14569 (forall ((BOUND_VARIABLE_406399 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_266413 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_10760 BOUND_VARIABLE_406399) BOUND_VARIABLE_266413) (ho_4604 (ho_4603 BOUND_VARIABLE_406399 (ho_5531 k_5530 BOUND_VARIABLE_266413)) (ho_5531 k_5532 BOUND_VARIABLE_266413)))))) (let ((_let_14570 (forall ((BOUND_VARIABLE_406418 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406417 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_266401 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 k_10762 BOUND_VARIABLE_406418) BOUND_VARIABLE_406417) BOUND_VARIABLE_266401) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_406418 (ho_5531 k_5530 BOUND_VARIABLE_266401))) (ho_4914 BOUND_VARIABLE_406417 (ho_5531 k_5532 BOUND_VARIABLE_266401))))))) (let ((_let_14571 (forall ((BOUND_VARIABLE_406438 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_406437 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_406436 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_266388 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 (ho_10764 k_10763 BOUND_VARIABLE_406438) BOUND_VARIABLE_406437) BOUND_VARIABLE_406436) BOUND_VARIABLE_266388) (ho_4604 (ho_4603 BOUND_VARIABLE_406438 (ho_4914 BOUND_VARIABLE_406437 (ho_5531 k_5530 BOUND_VARIABLE_266388))) (ho_4914 BOUND_VARIABLE_406436 (ho_5531 k_5532 BOUND_VARIABLE_266388))))))) (let ((_let_14572 (forall ((BOUND_VARIABLE_406459 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_266368 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266369 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_406459 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_266368)) (ho_5369 k_5368 BOUND_VARIABLE_266368)) BOUND_VARIABLE_266369) (ho_4575 (ho_5379 (ho_10766 k_10765 BOUND_VARIABLE_406459) BOUND_VARIABLE_266368) BOUND_VARIABLE_266369))))) (let ((_let_14573 (forall ((BOUND_VARIABLE_406483 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_406481 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_406478 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_266347 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266348 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_406483 (ho_4855 BOUND_VARIABLE_406481 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_266347))) (ho_4855 BOUND_VARIABLE_406478 (ho_5369 k_5368 BOUND_VARIABLE_266347))) BOUND_VARIABLE_266348) (ho_4575 (ho_5379 (ho_10770 (ho_10769 (ho_10768 k_10767 BOUND_VARIABLE_406483) BOUND_VARIABLE_406481) BOUND_VARIABLE_406478) BOUND_VARIABLE_266347) BOUND_VARIABLE_266348))))) (let ((_let_14574 (forall ((BOUND_VARIABLE_406515 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_266327 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266328 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_406515 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_266327)) (ho_5369 k_5368 BOUND_VARIABLE_266327)) BOUND_VARIABLE_266328) (ho_6605 (ho_5421 (ho_10772 k_10771 BOUND_VARIABLE_406515) BOUND_VARIABLE_266327) BOUND_VARIABLE_266328))))) (let ((_let_14575 (forall ((BOUND_VARIABLE_406539 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_406537 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_406534 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_266306 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266307 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_406539 (ho_4855 BOUND_VARIABLE_406537 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_266306))) (ho_4855 BOUND_VARIABLE_406534 (ho_5369 k_5368 BOUND_VARIABLE_266306))) BOUND_VARIABLE_266307) (ho_6605 (ho_5421 (ho_10776 (ho_10775 (ho_10774 k_10773 BOUND_VARIABLE_406539) BOUND_VARIABLE_406537) BOUND_VARIABLE_406534) BOUND_VARIABLE_266306) BOUND_VARIABLE_266307))))) (let ((_let_14576 (forall ((BOUND_VARIABLE_266291 tptp.int) (BOUND_VARIABLE_406573 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266293 tptp.int) (BOUND_VARIABLE_266294 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10777 BOUND_VARIABLE_266291) BOUND_VARIABLE_406573) BOUND_VARIABLE_266293) BOUND_VARIABLE_266294) (ho_4855 (ho_10636 BOUND_VARIABLE_406573 BOUND_VARIABLE_266291) (ho_4855 (ho_10636 BOUND_VARIABLE_406573 BOUND_VARIABLE_266293) BOUND_VARIABLE_266294)))))) (let ((_let_14577 (forall ((BOUND_VARIABLE_266279 tptp.int) (BOUND_VARIABLE_406594 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266281 tptp.int) (BOUND_VARIABLE_266282 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10779 BOUND_VARIABLE_266279) BOUND_VARIABLE_406594) BOUND_VARIABLE_266281) BOUND_VARIABLE_266282) (ho_4855 (ho_10636 BOUND_VARIABLE_406594 BOUND_VARIABLE_266279) (ho_4855 (ho_10636 BOUND_VARIABLE_406594 BOUND_VARIABLE_266281) BOUND_VARIABLE_266282)))))) (let ((_let_14578 (forall ((BOUND_VARIABLE_266267 tptp.int) (BOUND_VARIABLE_406611 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266269 tptp.int) (BOUND_VARIABLE_266270 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10780 BOUND_VARIABLE_266267) BOUND_VARIABLE_406611) BOUND_VARIABLE_266269) BOUND_VARIABLE_266270) (ho_4855 (ho_10636 BOUND_VARIABLE_406611 BOUND_VARIABLE_266267) (ho_4855 (ho_10636 BOUND_VARIABLE_406611 BOUND_VARIABLE_266269) BOUND_VARIABLE_266270)))))) (let ((_let_14579 (forall ((BOUND_VARIABLE_266255 tptp.int) (BOUND_VARIABLE_406628 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266257 tptp.int) (BOUND_VARIABLE_266258 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10781 BOUND_VARIABLE_266255) BOUND_VARIABLE_406628) BOUND_VARIABLE_266257) BOUND_VARIABLE_266258) (ho_4855 (ho_10636 BOUND_VARIABLE_406628 BOUND_VARIABLE_266255) (ho_4855 (ho_10636 BOUND_VARIABLE_406628 BOUND_VARIABLE_266257) BOUND_VARIABLE_266258)))))) (let ((_let_14580 (forall ((BOUND_VARIABLE_266243 tptp.nat) (BOUND_VARIABLE_406645 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266245 tptp.nat) (BOUND_VARIABLE_266246 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10782 BOUND_VARIABLE_266243) BOUND_VARIABLE_406645) BOUND_VARIABLE_266245) BOUND_VARIABLE_266246) (ho_4855 (ho_5457 BOUND_VARIABLE_406645 BOUND_VARIABLE_266243) (ho_4855 (ho_5457 BOUND_VARIABLE_406645 BOUND_VARIABLE_266245) BOUND_VARIABLE_266246)))))) (let ((_let_14581 (forall ((BOUND_VARIABLE_266231 tptp.nat) (BOUND_VARIABLE_406666 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266233 tptp.nat) (BOUND_VARIABLE_266234 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10784 BOUND_VARIABLE_266231) BOUND_VARIABLE_406666) BOUND_VARIABLE_266233) BOUND_VARIABLE_266234) (ho_4855 (ho_5457 BOUND_VARIABLE_406666 BOUND_VARIABLE_266231) (ho_4855 (ho_5457 BOUND_VARIABLE_406666 BOUND_VARIABLE_266233) BOUND_VARIABLE_266234)))))) (let ((_let_14582 (forall ((BOUND_VARIABLE_266219 tptp.nat) (BOUND_VARIABLE_406683 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266221 tptp.nat) (BOUND_VARIABLE_266222 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10785 BOUND_VARIABLE_266219) BOUND_VARIABLE_406683) BOUND_VARIABLE_266221) BOUND_VARIABLE_266222) (ho_4855 (ho_5457 BOUND_VARIABLE_406683 BOUND_VARIABLE_266219) (ho_4855 (ho_5457 BOUND_VARIABLE_406683 BOUND_VARIABLE_266221) BOUND_VARIABLE_266222)))))) (let ((_let_14583 (forall ((BOUND_VARIABLE_266207 tptp.nat) (BOUND_VARIABLE_406700 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266209 tptp.nat) (BOUND_VARIABLE_266210 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10786 BOUND_VARIABLE_266207) BOUND_VARIABLE_406700) BOUND_VARIABLE_266209) BOUND_VARIABLE_266210) (ho_4855 (ho_5457 BOUND_VARIABLE_406700 BOUND_VARIABLE_266207) (ho_4855 (ho_5457 BOUND_VARIABLE_406700 BOUND_VARIABLE_266209) BOUND_VARIABLE_266210)))))) (let ((_let_14584 (forall ((BOUND_VARIABLE_266195 Bool) (BOUND_VARIABLE_406717 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_266197 Bool) (BOUND_VARIABLE_266198 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10787 BOUND_VARIABLE_266195) BOUND_VARIABLE_406717) BOUND_VARIABLE_266197) BOUND_VARIABLE_266198) (ho_4855 (ho_10641 BOUND_VARIABLE_406717 BOUND_VARIABLE_266195) (ho_4855 (ho_10641 BOUND_VARIABLE_406717 BOUND_VARIABLE_266197) BOUND_VARIABLE_266198)))))) (let ((_let_14585 (forall ((BOUND_VARIABLE_266183 Bool) (BOUND_VARIABLE_406738 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_266185 Bool) (BOUND_VARIABLE_266186 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10789 BOUND_VARIABLE_266183) BOUND_VARIABLE_406738) BOUND_VARIABLE_266185) BOUND_VARIABLE_266186) (ho_4855 (ho_10641 BOUND_VARIABLE_406738 BOUND_VARIABLE_266183) (ho_4855 (ho_10641 BOUND_VARIABLE_406738 BOUND_VARIABLE_266185) BOUND_VARIABLE_266186)))))) (let ((_let_14586 (forall ((BOUND_VARIABLE_266171 Bool) (BOUND_VARIABLE_406755 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_266173 Bool) (BOUND_VARIABLE_266174 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10790 BOUND_VARIABLE_266171) BOUND_VARIABLE_406755) BOUND_VARIABLE_266173) BOUND_VARIABLE_266174) (ho_4855 (ho_10641 BOUND_VARIABLE_406755 BOUND_VARIABLE_266171) (ho_4855 (ho_10641 BOUND_VARIABLE_406755 BOUND_VARIABLE_266173) BOUND_VARIABLE_266174)))))) (let ((_let_14587 (forall ((BOUND_VARIABLE_266159 Bool) (BOUND_VARIABLE_406772 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_266161 Bool) (BOUND_VARIABLE_266162 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10791 BOUND_VARIABLE_266159) BOUND_VARIABLE_406772) BOUND_VARIABLE_266161) BOUND_VARIABLE_266162) (ho_4855 (ho_10641 BOUND_VARIABLE_406772 BOUND_VARIABLE_266159) (ho_4855 (ho_10641 BOUND_VARIABLE_406772 BOUND_VARIABLE_266161) BOUND_VARIABLE_266162)))))) (let ((_let_14588 (forall ((BOUND_VARIABLE_266147 tptp.product_prod_nat_nat) (BOUND_VARIABLE_406789 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266149 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266150 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10792 BOUND_VARIABLE_266147) BOUND_VARIABLE_406789) BOUND_VARIABLE_266149) BOUND_VARIABLE_266150) (ho_4855 (ho_10644 BOUND_VARIABLE_406789 BOUND_VARIABLE_266147) (ho_4855 (ho_10644 BOUND_VARIABLE_406789 BOUND_VARIABLE_266149) BOUND_VARIABLE_266150)))))) (let ((_let_14589 (forall ((BOUND_VARIABLE_266135 tptp.product_prod_nat_nat) (BOUND_VARIABLE_406810 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266137 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266138 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10794 BOUND_VARIABLE_266135) BOUND_VARIABLE_406810) BOUND_VARIABLE_266137) BOUND_VARIABLE_266138) (ho_4855 (ho_10644 BOUND_VARIABLE_406810 BOUND_VARIABLE_266135) (ho_4855 (ho_10644 BOUND_VARIABLE_406810 BOUND_VARIABLE_266137) BOUND_VARIABLE_266138)))))) (let ((_let_14590 (forall ((BOUND_VARIABLE_266123 tptp.product_prod_nat_nat) (BOUND_VARIABLE_406827 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266125 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266126 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10795 BOUND_VARIABLE_266123) BOUND_VARIABLE_406827) BOUND_VARIABLE_266125) BOUND_VARIABLE_266126) (ho_4855 (ho_10644 BOUND_VARIABLE_406827 BOUND_VARIABLE_266123) (ho_4855 (ho_10644 BOUND_VARIABLE_406827 BOUND_VARIABLE_266125) BOUND_VARIABLE_266126)))))) (let ((_let_14591 (forall ((BOUND_VARIABLE_266111 tptp.product_prod_nat_nat) (BOUND_VARIABLE_406844 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266113 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266114 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10796 BOUND_VARIABLE_266111) BOUND_VARIABLE_406844) BOUND_VARIABLE_266113) BOUND_VARIABLE_266114) (ho_4855 (ho_10644 BOUND_VARIABLE_406844 BOUND_VARIABLE_266111) (ho_4855 (ho_10644 BOUND_VARIABLE_406844 BOUND_VARIABLE_266113) BOUND_VARIABLE_266114)))))) (let ((_let_14592 (forall ((BOUND_VARIABLE_266099 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_406861 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266101 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266102 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10797 BOUND_VARIABLE_266099) BOUND_VARIABLE_406861) BOUND_VARIABLE_266101) BOUND_VARIABLE_266102) (ho_4855 (ho_10647 BOUND_VARIABLE_406861 BOUND_VARIABLE_266099) (ho_4855 (ho_10647 BOUND_VARIABLE_406861 BOUND_VARIABLE_266101) BOUND_VARIABLE_266102)))))) (let ((_let_14593 (forall ((BOUND_VARIABLE_266087 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_406882 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266089 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266090 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10799 BOUND_VARIABLE_266087) BOUND_VARIABLE_406882) BOUND_VARIABLE_266089) BOUND_VARIABLE_266090) (ho_4855 (ho_10647 BOUND_VARIABLE_406882 BOUND_VARIABLE_266087) (ho_4855 (ho_10647 BOUND_VARIABLE_406882 BOUND_VARIABLE_266089) BOUND_VARIABLE_266090)))))) (let ((_let_14594 (forall ((BOUND_VARIABLE_266075 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_406899 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266077 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266078 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10800 BOUND_VARIABLE_266075) BOUND_VARIABLE_406899) BOUND_VARIABLE_266077) BOUND_VARIABLE_266078) (ho_4855 (ho_10647 BOUND_VARIABLE_406899 BOUND_VARIABLE_266075) (ho_4855 (ho_10647 BOUND_VARIABLE_406899 BOUND_VARIABLE_266077) BOUND_VARIABLE_266078)))))) (let ((_let_14595 (forall ((BOUND_VARIABLE_266063 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_406916 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_266065 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266066 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10801 BOUND_VARIABLE_266063) BOUND_VARIABLE_406916) BOUND_VARIABLE_266065) BOUND_VARIABLE_266066) (ho_4855 (ho_10647 BOUND_VARIABLE_406916 BOUND_VARIABLE_266063) (ho_4855 (ho_10647 BOUND_VARIABLE_406916 BOUND_VARIABLE_266065) BOUND_VARIABLE_266066)))))) (let ((_let_14596 (forall ((BOUND_VARIABLE_266051 tptp.int) (BOUND_VARIABLE_406933 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266053 tptp.int) (BOUND_VARIABLE_266054 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10802 BOUND_VARIABLE_266051) BOUND_VARIABLE_406933) BOUND_VARIABLE_266053) BOUND_VARIABLE_266054) (ho_4855 (ho_10636 BOUND_VARIABLE_406933 BOUND_VARIABLE_266051) (ho_4855 (ho_10636 BOUND_VARIABLE_406933 BOUND_VARIABLE_266053) BOUND_VARIABLE_266054)))))) (let ((_let_14597 (forall ((BOUND_VARIABLE_266039 tptp.int) (BOUND_VARIABLE_406950 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266041 tptp.int) (BOUND_VARIABLE_266042 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10803 BOUND_VARIABLE_266039) BOUND_VARIABLE_406950) BOUND_VARIABLE_266041) BOUND_VARIABLE_266042) (ho_4855 (ho_10636 BOUND_VARIABLE_406950 BOUND_VARIABLE_266039) (ho_4855 (ho_10636 BOUND_VARIABLE_406950 BOUND_VARIABLE_266041) BOUND_VARIABLE_266042)))))) (let ((_let_14598 (forall ((BOUND_VARIABLE_266025 tptp.int) (BOUND_VARIABLE_406969 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266027 tptp.int) (BOUND_VARIABLE_406968 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_266029 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10807 (ho_10806 (ho_10805 k_10804 BOUND_VARIABLE_266025) BOUND_VARIABLE_406969) BOUND_VARIABLE_266027) BOUND_VARIABLE_406968) BOUND_VARIABLE_266029) (ho_4855 (ho_10636 BOUND_VARIABLE_406969 BOUND_VARIABLE_266025) (ho_4855 (ho_10636 BOUND_VARIABLE_406969 BOUND_VARIABLE_266027) (ho_4855 BOUND_VARIABLE_406968 BOUND_VARIABLE_266029))))))) (let ((_let_14599 (forall ((BOUND_VARIABLE_266011 tptp.int) (BOUND_VARIABLE_407002 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_266013 tptp.int) (BOUND_VARIABLE_407001 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_266015 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10807 (ho_10806 (ho_10805 k_10808 BOUND_VARIABLE_266011) BOUND_VARIABLE_407002) BOUND_VARIABLE_266013) BOUND_VARIABLE_407001) BOUND_VARIABLE_266015) (ho_4855 (ho_10636 BOUND_VARIABLE_407002 BOUND_VARIABLE_266011) (ho_4855 (ho_10636 BOUND_VARIABLE_407002 BOUND_VARIABLE_266013) (ho_4855 BOUND_VARIABLE_407001 BOUND_VARIABLE_266015))))))) (let ((_let_14600 (forall ((BOUND_VARIABLE_265997 tptp.int) (BOUND_VARIABLE_407023 |u_(-> tptp.int Bool Bool)|) (BOUND_VARIABLE_265999 tptp.int) (BOUND_VARIABLE_407022 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_266001 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10812 (ho_10811 (ho_10810 k_10809 BOUND_VARIABLE_265997) BOUND_VARIABLE_407023) BOUND_VARIABLE_265999) BOUND_VARIABLE_407022) BOUND_VARIABLE_266001) (ho_5235 (ho_7527 BOUND_VARIABLE_407023 BOUND_VARIABLE_265997) (ho_5235 (ho_7527 BOUND_VARIABLE_407023 BOUND_VARIABLE_265999) (ho_4593 BOUND_VARIABLE_407022 BOUND_VARIABLE_266001))))))) (let ((_let_14601 (forall ((BOUND_VARIABLE_265983 tptp.int) (BOUND_VARIABLE_407056 |u_(-> tptp.int Bool Bool)|) (BOUND_VARIABLE_265985 tptp.int) (BOUND_VARIABLE_407055 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265987 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10812 (ho_10811 (ho_10810 k_10813 BOUND_VARIABLE_265983) BOUND_VARIABLE_407056) BOUND_VARIABLE_265985) BOUND_VARIABLE_407055) BOUND_VARIABLE_265987) (ho_5235 (ho_7527 BOUND_VARIABLE_407056 BOUND_VARIABLE_265983) (ho_5235 (ho_7527 BOUND_VARIABLE_407056 BOUND_VARIABLE_265985) (ho_4593 BOUND_VARIABLE_407055 BOUND_VARIABLE_265987))))))) (let ((_let_14602 (forall ((BOUND_VARIABLE_265971 tptp.nat) (BOUND_VARIABLE_407075 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265973 tptp.nat) (BOUND_VARIABLE_265974 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10814 BOUND_VARIABLE_265971) BOUND_VARIABLE_407075) BOUND_VARIABLE_265973) BOUND_VARIABLE_265974) (ho_4855 (ho_5457 BOUND_VARIABLE_407075 BOUND_VARIABLE_265971) (ho_4855 (ho_5457 BOUND_VARIABLE_407075 BOUND_VARIABLE_265973) BOUND_VARIABLE_265974)))))) (let ((_let_14603 (forall ((BOUND_VARIABLE_265959 tptp.nat) (BOUND_VARIABLE_407092 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265961 tptp.nat) (BOUND_VARIABLE_265962 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10815 BOUND_VARIABLE_265959) BOUND_VARIABLE_407092) BOUND_VARIABLE_265961) BOUND_VARIABLE_265962) (ho_4855 (ho_5457 BOUND_VARIABLE_407092 BOUND_VARIABLE_265959) (ho_4855 (ho_5457 BOUND_VARIABLE_407092 BOUND_VARIABLE_265961) BOUND_VARIABLE_265962)))))) (let ((_let_14604 (forall ((BOUND_VARIABLE_265945 tptp.nat) (BOUND_VARIABLE_407111 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265947 tptp.nat) (BOUND_VARIABLE_407110 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265949 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10819 (ho_10818 (ho_10817 k_10816 BOUND_VARIABLE_265945) BOUND_VARIABLE_407111) BOUND_VARIABLE_265947) BOUND_VARIABLE_407110) BOUND_VARIABLE_265949) (ho_4855 (ho_5457 BOUND_VARIABLE_407111 BOUND_VARIABLE_265945) (ho_4855 (ho_5457 BOUND_VARIABLE_407111 BOUND_VARIABLE_265947) (ho_4855 BOUND_VARIABLE_407110 BOUND_VARIABLE_265949))))))) (let ((_let_14605 (forall ((BOUND_VARIABLE_265931 tptp.nat) (BOUND_VARIABLE_407144 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265933 tptp.nat) (BOUND_VARIABLE_407143 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265935 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10819 (ho_10818 (ho_10817 k_10820 BOUND_VARIABLE_265931) BOUND_VARIABLE_407144) BOUND_VARIABLE_265933) BOUND_VARIABLE_407143) BOUND_VARIABLE_265935) (ho_4855 (ho_5457 BOUND_VARIABLE_407144 BOUND_VARIABLE_265931) (ho_4855 (ho_5457 BOUND_VARIABLE_407144 BOUND_VARIABLE_265933) (ho_4855 BOUND_VARIABLE_407143 BOUND_VARIABLE_265935))))))) (let ((_let_14606 (forall ((BOUND_VARIABLE_265917 tptp.nat) (BOUND_VARIABLE_407165 |u_(-> tptp.nat Bool Bool)|) (BOUND_VARIABLE_265919 tptp.nat) (BOUND_VARIABLE_407164 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265921 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10824 (ho_10823 (ho_10822 k_10821 BOUND_VARIABLE_265917) BOUND_VARIABLE_407165) BOUND_VARIABLE_265919) BOUND_VARIABLE_407164) BOUND_VARIABLE_265921) (ho_5235 (ho_7483 BOUND_VARIABLE_407165 BOUND_VARIABLE_265917) (ho_5235 (ho_7483 BOUND_VARIABLE_407165 BOUND_VARIABLE_265919) (ho_4593 BOUND_VARIABLE_407164 BOUND_VARIABLE_265921))))))) (let ((_let_14607 (forall ((BOUND_VARIABLE_265903 tptp.nat) (BOUND_VARIABLE_407198 |u_(-> tptp.nat Bool Bool)|) (BOUND_VARIABLE_265905 tptp.nat) (BOUND_VARIABLE_407197 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265907 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10824 (ho_10823 (ho_10822 k_10825 BOUND_VARIABLE_265903) BOUND_VARIABLE_407198) BOUND_VARIABLE_265905) BOUND_VARIABLE_407197) BOUND_VARIABLE_265907) (ho_5235 (ho_7483 BOUND_VARIABLE_407198 BOUND_VARIABLE_265903) (ho_5235 (ho_7483 BOUND_VARIABLE_407198 BOUND_VARIABLE_265905) (ho_4593 BOUND_VARIABLE_407197 BOUND_VARIABLE_265907))))))) (let ((_let_14608 (forall ((BOUND_VARIABLE_265891 Bool) (BOUND_VARIABLE_407217 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265893 Bool) (BOUND_VARIABLE_265894 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10826 BOUND_VARIABLE_265891) BOUND_VARIABLE_407217) BOUND_VARIABLE_265893) BOUND_VARIABLE_265894) (ho_4855 (ho_10641 BOUND_VARIABLE_407217 BOUND_VARIABLE_265891) (ho_4855 (ho_10641 BOUND_VARIABLE_407217 BOUND_VARIABLE_265893) BOUND_VARIABLE_265894)))))) (let ((_let_14609 (forall ((BOUND_VARIABLE_265879 Bool) (BOUND_VARIABLE_407234 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265881 Bool) (BOUND_VARIABLE_265882 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10827 BOUND_VARIABLE_265879) BOUND_VARIABLE_407234) BOUND_VARIABLE_265881) BOUND_VARIABLE_265882) (ho_4855 (ho_10641 BOUND_VARIABLE_407234 BOUND_VARIABLE_265879) (ho_4855 (ho_10641 BOUND_VARIABLE_407234 BOUND_VARIABLE_265881) BOUND_VARIABLE_265882)))))) (let ((_let_14610 (forall ((BOUND_VARIABLE_265865 Bool) (BOUND_VARIABLE_407253 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265867 Bool) (BOUND_VARIABLE_407252 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265869 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10831 (ho_10830 (ho_10829 k_10828 BOUND_VARIABLE_265865) BOUND_VARIABLE_407253) BOUND_VARIABLE_265867) BOUND_VARIABLE_407252) BOUND_VARIABLE_265869) (ho_4855 (ho_10641 BOUND_VARIABLE_407253 BOUND_VARIABLE_265865) (ho_4855 (ho_10641 BOUND_VARIABLE_407253 BOUND_VARIABLE_265867) (ho_4855 BOUND_VARIABLE_407252 BOUND_VARIABLE_265869))))))) (let ((_let_14611 (forall ((BOUND_VARIABLE_265851 Bool) (BOUND_VARIABLE_407286 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265853 Bool) (BOUND_VARIABLE_407285 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265855 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10831 (ho_10830 (ho_10829 k_10832 BOUND_VARIABLE_265851) BOUND_VARIABLE_407286) BOUND_VARIABLE_265853) BOUND_VARIABLE_407285) BOUND_VARIABLE_265855) (ho_4855 (ho_10641 BOUND_VARIABLE_407286 BOUND_VARIABLE_265851) (ho_4855 (ho_10641 BOUND_VARIABLE_407286 BOUND_VARIABLE_265853) (ho_4855 BOUND_VARIABLE_407285 BOUND_VARIABLE_265855))))))) (let ((_let_14612 (forall ((BOUND_VARIABLE_265837 Bool) (BOUND_VARIABLE_407307 |u_(-> Bool Bool Bool)|) (BOUND_VARIABLE_265839 Bool) (BOUND_VARIABLE_407306 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265841 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10836 (ho_10835 (ho_10834 k_10833 BOUND_VARIABLE_265837) BOUND_VARIABLE_407307) BOUND_VARIABLE_265839) BOUND_VARIABLE_407306) BOUND_VARIABLE_265841) (ho_5235 (ho_6701 BOUND_VARIABLE_407307 BOUND_VARIABLE_265837) (ho_5235 (ho_6701 BOUND_VARIABLE_407307 BOUND_VARIABLE_265839) (ho_4593 BOUND_VARIABLE_407306 BOUND_VARIABLE_265841))))))) (let ((_let_14613 (forall ((BOUND_VARIABLE_265823 Bool) (BOUND_VARIABLE_407340 |u_(-> Bool Bool Bool)|) (BOUND_VARIABLE_265825 Bool) (BOUND_VARIABLE_407339 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265827 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10836 (ho_10835 (ho_10834 k_10837 BOUND_VARIABLE_265823) BOUND_VARIABLE_407340) BOUND_VARIABLE_265825) BOUND_VARIABLE_407339) BOUND_VARIABLE_265827) (ho_5235 (ho_6701 BOUND_VARIABLE_407340 BOUND_VARIABLE_265823) (ho_5235 (ho_6701 BOUND_VARIABLE_407340 BOUND_VARIABLE_265825) (ho_4593 BOUND_VARIABLE_407339 BOUND_VARIABLE_265827))))))) (let ((_let_14614 (forall ((BOUND_VARIABLE_265811 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407359 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265813 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265814 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10838 BOUND_VARIABLE_265811) BOUND_VARIABLE_407359) BOUND_VARIABLE_265813) BOUND_VARIABLE_265814) (ho_4855 (ho_10644 BOUND_VARIABLE_407359 BOUND_VARIABLE_265811) (ho_4855 (ho_10644 BOUND_VARIABLE_407359 BOUND_VARIABLE_265813) BOUND_VARIABLE_265814)))))) (let ((_let_14615 (forall ((BOUND_VARIABLE_265799 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407376 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265801 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265802 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10839 BOUND_VARIABLE_265799) BOUND_VARIABLE_407376) BOUND_VARIABLE_265801) BOUND_VARIABLE_265802) (ho_4855 (ho_10644 BOUND_VARIABLE_407376 BOUND_VARIABLE_265799) (ho_4855 (ho_10644 BOUND_VARIABLE_407376 BOUND_VARIABLE_265801) BOUND_VARIABLE_265802)))))) (let ((_let_14616 (forall ((BOUND_VARIABLE_265785 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407395 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265787 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407394 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265789 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10843 (ho_10842 (ho_10841 k_10840 BOUND_VARIABLE_265785) BOUND_VARIABLE_407395) BOUND_VARIABLE_265787) BOUND_VARIABLE_407394) BOUND_VARIABLE_265789) (ho_4855 (ho_10644 BOUND_VARIABLE_407395 BOUND_VARIABLE_265785) (ho_4855 (ho_10644 BOUND_VARIABLE_407395 BOUND_VARIABLE_265787) (ho_4855 BOUND_VARIABLE_407394 BOUND_VARIABLE_265789))))))) (let ((_let_14617 (forall ((BOUND_VARIABLE_265771 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407428 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265773 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407427 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265775 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10843 (ho_10842 (ho_10841 k_10844 BOUND_VARIABLE_265771) BOUND_VARIABLE_407428) BOUND_VARIABLE_265773) BOUND_VARIABLE_407427) BOUND_VARIABLE_265775) (ho_4855 (ho_10644 BOUND_VARIABLE_407428 BOUND_VARIABLE_265771) (ho_4855 (ho_10644 BOUND_VARIABLE_407428 BOUND_VARIABLE_265773) (ho_4855 BOUND_VARIABLE_407427 BOUND_VARIABLE_265775))))))) (let ((_let_14618 (forall ((BOUND_VARIABLE_265757 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407450 |u_(-> tptp.product_prod_nat_nat Bool Bool)|) (BOUND_VARIABLE_265759 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407448 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265761 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10849 (ho_10848 (ho_10847 k_10846 BOUND_VARIABLE_265757) BOUND_VARIABLE_407450) BOUND_VARIABLE_265759) BOUND_VARIABLE_407448) BOUND_VARIABLE_265761) (ho_5235 (ho_10845 BOUND_VARIABLE_407450 BOUND_VARIABLE_265757) (ho_5235 (ho_10845 BOUND_VARIABLE_407450 BOUND_VARIABLE_265759) (ho_4593 BOUND_VARIABLE_407448 BOUND_VARIABLE_265761))))))) (let ((_let_14619 (forall ((BOUND_VARIABLE_265743 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407485 |u_(-> tptp.product_prod_nat_nat Bool Bool)|) (BOUND_VARIABLE_265745 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407484 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265747 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10849 (ho_10848 (ho_10847 k_10850 BOUND_VARIABLE_265743) BOUND_VARIABLE_407485) BOUND_VARIABLE_265745) BOUND_VARIABLE_407484) BOUND_VARIABLE_265747) (ho_5235 (ho_10845 BOUND_VARIABLE_407485 BOUND_VARIABLE_265743) (ho_5235 (ho_10845 BOUND_VARIABLE_407485 BOUND_VARIABLE_265745) (ho_4593 BOUND_VARIABLE_407484 BOUND_VARIABLE_265747))))))) (let ((_let_14620 (forall ((BOUND_VARIABLE_265731 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407504 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265733 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265734 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10851 BOUND_VARIABLE_265731) BOUND_VARIABLE_407504) BOUND_VARIABLE_265733) BOUND_VARIABLE_265734) (ho_4855 (ho_10647 BOUND_VARIABLE_407504 BOUND_VARIABLE_265731) (ho_4855 (ho_10647 BOUND_VARIABLE_407504 BOUND_VARIABLE_265733) BOUND_VARIABLE_265734)))))) (let ((_let_14621 (forall ((BOUND_VARIABLE_265719 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407521 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265721 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265722 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10852 BOUND_VARIABLE_265719) BOUND_VARIABLE_407521) BOUND_VARIABLE_265721) BOUND_VARIABLE_265722) (ho_4855 (ho_10647 BOUND_VARIABLE_407521 BOUND_VARIABLE_265719) (ho_4855 (ho_10647 BOUND_VARIABLE_407521 BOUND_VARIABLE_265721) BOUND_VARIABLE_265722)))))) (let ((_let_14622 (forall ((BOUND_VARIABLE_265705 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407540 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265707 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407539 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265709 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10856 (ho_10855 (ho_10854 k_10853 BOUND_VARIABLE_265705) BOUND_VARIABLE_407540) BOUND_VARIABLE_265707) BOUND_VARIABLE_407539) BOUND_VARIABLE_265709) (ho_4855 (ho_10647 BOUND_VARIABLE_407540 BOUND_VARIABLE_265705) (ho_4855 (ho_10647 BOUND_VARIABLE_407540 BOUND_VARIABLE_265707) (ho_4855 BOUND_VARIABLE_407539 BOUND_VARIABLE_265709))))))) (let ((_let_14623 (forall ((BOUND_VARIABLE_265691 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407573 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265693 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407572 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265695 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10856 (ho_10855 (ho_10854 k_10857 BOUND_VARIABLE_265691) BOUND_VARIABLE_407573) BOUND_VARIABLE_265693) BOUND_VARIABLE_407572) BOUND_VARIABLE_265695) (ho_4855 (ho_10647 BOUND_VARIABLE_407573 BOUND_VARIABLE_265691) (ho_4855 (ho_10647 BOUND_VARIABLE_407573 BOUND_VARIABLE_265693) (ho_4855 BOUND_VARIABLE_407572 BOUND_VARIABLE_265695))))))) (let ((_let_14624 (forall ((BOUND_VARIABLE_265677 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407595 |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|) (BOUND_VARIABLE_265679 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407593 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265681 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10862 (ho_10861 (ho_10860 k_10859 BOUND_VARIABLE_265677) BOUND_VARIABLE_407595) BOUND_VARIABLE_265679) BOUND_VARIABLE_407593) BOUND_VARIABLE_265681) (ho_5235 (ho_10858 BOUND_VARIABLE_407595 BOUND_VARIABLE_265677) (ho_5235 (ho_10858 BOUND_VARIABLE_407595 BOUND_VARIABLE_265679) (ho_4593 BOUND_VARIABLE_407593 BOUND_VARIABLE_265681))))))) (let ((_let_14625 (forall ((BOUND_VARIABLE_265663 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407630 |u_(-> tptp.produc3843707927480180839at_nat Bool Bool)|) (BOUND_VARIABLE_265665 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407629 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265667 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10862 (ho_10861 (ho_10860 k_10863 BOUND_VARIABLE_265663) BOUND_VARIABLE_407630) BOUND_VARIABLE_265665) BOUND_VARIABLE_407629) BOUND_VARIABLE_265667) (ho_5235 (ho_10858 BOUND_VARIABLE_407630 BOUND_VARIABLE_265663) (ho_5235 (ho_10858 BOUND_VARIABLE_407630 BOUND_VARIABLE_265665) (ho_4593 BOUND_VARIABLE_407629 BOUND_VARIABLE_265667))))))) (let ((_let_14626 (forall ((BOUND_VARIABLE_265651 tptp.int) (BOUND_VARIABLE_407649 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_265653 tptp.int) (BOUND_VARIABLE_265654 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10864 BOUND_VARIABLE_265651) BOUND_VARIABLE_407649) BOUND_VARIABLE_265653) BOUND_VARIABLE_265654) (ho_4855 (ho_10636 BOUND_VARIABLE_407649 BOUND_VARIABLE_265651) (ho_4855 (ho_10636 BOUND_VARIABLE_407649 BOUND_VARIABLE_265653) BOUND_VARIABLE_265654)))))) (let ((_let_14627 (forall ((BOUND_VARIABLE_265639 tptp.int) (BOUND_VARIABLE_407666 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_265641 tptp.int) (BOUND_VARIABLE_265642 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10865 BOUND_VARIABLE_265639) BOUND_VARIABLE_407666) BOUND_VARIABLE_265641) BOUND_VARIABLE_265642) (ho_4855 (ho_10636 BOUND_VARIABLE_407666 BOUND_VARIABLE_265639) (ho_4855 (ho_10636 BOUND_VARIABLE_407666 BOUND_VARIABLE_265641) BOUND_VARIABLE_265642)))))) (let ((_let_14628 (forall ((BOUND_VARIABLE_265627 tptp.int) (BOUND_VARIABLE_407683 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_265629 tptp.int) (BOUND_VARIABLE_265630 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10866 BOUND_VARIABLE_265627) BOUND_VARIABLE_407683) BOUND_VARIABLE_265629) BOUND_VARIABLE_265630) (ho_4855 (ho_10636 BOUND_VARIABLE_407683 BOUND_VARIABLE_265627) (ho_4855 (ho_10636 BOUND_VARIABLE_407683 BOUND_VARIABLE_265629) BOUND_VARIABLE_265630)))))) (let ((_let_14629 (forall ((BOUND_VARIABLE_265615 tptp.int) (BOUND_VARIABLE_407700 |u_(-> tptp.int tptp.nat tptp.nat)|) (BOUND_VARIABLE_265617 tptp.int) (BOUND_VARIABLE_265618 tptp.nat)) (= (ho_4855 (ho_10636 (ho_10638 (ho_10778 k_10867 BOUND_VARIABLE_265615) BOUND_VARIABLE_407700) BOUND_VARIABLE_265617) BOUND_VARIABLE_265618) (ho_4855 (ho_10636 BOUND_VARIABLE_407700 BOUND_VARIABLE_265615) (ho_4855 (ho_10636 BOUND_VARIABLE_407700 BOUND_VARIABLE_265617) BOUND_VARIABLE_265618)))))) (let ((_let_14630 (forall ((BOUND_VARIABLE_265603 tptp.nat) (BOUND_VARIABLE_407717 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265605 tptp.nat) (BOUND_VARIABLE_265606 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10868 BOUND_VARIABLE_265603) BOUND_VARIABLE_407717) BOUND_VARIABLE_265605) BOUND_VARIABLE_265606) (ho_4855 (ho_5457 BOUND_VARIABLE_407717 BOUND_VARIABLE_265603) (ho_4855 (ho_5457 BOUND_VARIABLE_407717 BOUND_VARIABLE_265605) BOUND_VARIABLE_265606)))))) (let ((_let_14631 (forall ((BOUND_VARIABLE_265591 tptp.nat) (BOUND_VARIABLE_407734 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265593 tptp.nat) (BOUND_VARIABLE_265594 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10869 BOUND_VARIABLE_265591) BOUND_VARIABLE_407734) BOUND_VARIABLE_265593) BOUND_VARIABLE_265594) (ho_4855 (ho_5457 BOUND_VARIABLE_407734 BOUND_VARIABLE_265591) (ho_4855 (ho_5457 BOUND_VARIABLE_407734 BOUND_VARIABLE_265593) BOUND_VARIABLE_265594)))))) (let ((_let_14632 (forall ((BOUND_VARIABLE_265579 tptp.nat) (BOUND_VARIABLE_407751 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265581 tptp.nat) (BOUND_VARIABLE_265582 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10870 BOUND_VARIABLE_265579) BOUND_VARIABLE_407751) BOUND_VARIABLE_265581) BOUND_VARIABLE_265582) (ho_4855 (ho_5457 BOUND_VARIABLE_407751 BOUND_VARIABLE_265579) (ho_4855 (ho_5457 BOUND_VARIABLE_407751 BOUND_VARIABLE_265581) BOUND_VARIABLE_265582)))))) (let ((_let_14633 (forall ((BOUND_VARIABLE_265567 tptp.nat) (BOUND_VARIABLE_407768 |u_(-> tptp.nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265569 tptp.nat) (BOUND_VARIABLE_265570 tptp.nat)) (= (ho_4855 (ho_5457 (ho_10640 (ho_10783 k_10871 BOUND_VARIABLE_265567) BOUND_VARIABLE_407768) BOUND_VARIABLE_265569) BOUND_VARIABLE_265570) (ho_4855 (ho_5457 BOUND_VARIABLE_407768 BOUND_VARIABLE_265567) (ho_4855 (ho_5457 BOUND_VARIABLE_407768 BOUND_VARIABLE_265569) BOUND_VARIABLE_265570)))))) (let ((_let_14634 (forall ((BOUND_VARIABLE_265555 Bool) (BOUND_VARIABLE_407785 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265557 Bool) (BOUND_VARIABLE_265558 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10872 BOUND_VARIABLE_265555) BOUND_VARIABLE_407785) BOUND_VARIABLE_265557) BOUND_VARIABLE_265558) (ho_4855 (ho_10641 BOUND_VARIABLE_407785 BOUND_VARIABLE_265555) (ho_4855 (ho_10641 BOUND_VARIABLE_407785 BOUND_VARIABLE_265557) BOUND_VARIABLE_265558)))))) (let ((_let_14635 (forall ((BOUND_VARIABLE_265543 Bool) (BOUND_VARIABLE_407802 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265545 Bool) (BOUND_VARIABLE_265546 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10873 BOUND_VARIABLE_265543) BOUND_VARIABLE_407802) BOUND_VARIABLE_265545) BOUND_VARIABLE_265546) (ho_4855 (ho_10641 BOUND_VARIABLE_407802 BOUND_VARIABLE_265543) (ho_4855 (ho_10641 BOUND_VARIABLE_407802 BOUND_VARIABLE_265545) BOUND_VARIABLE_265546)))))) (let ((_let_14636 (forall ((BOUND_VARIABLE_265531 Bool) (BOUND_VARIABLE_407819 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265533 Bool) (BOUND_VARIABLE_265534 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10874 BOUND_VARIABLE_265531) BOUND_VARIABLE_407819) BOUND_VARIABLE_265533) BOUND_VARIABLE_265534) (ho_4855 (ho_10641 BOUND_VARIABLE_407819 BOUND_VARIABLE_265531) (ho_4855 (ho_10641 BOUND_VARIABLE_407819 BOUND_VARIABLE_265533) BOUND_VARIABLE_265534)))))) (let ((_let_14637 (forall ((BOUND_VARIABLE_265519 Bool) (BOUND_VARIABLE_407836 |u_(-> Bool tptp.nat tptp.nat)|) (BOUND_VARIABLE_265521 Bool) (BOUND_VARIABLE_265522 tptp.nat)) (= (ho_4855 (ho_10641 (ho_10643 (ho_10788 k_10875 BOUND_VARIABLE_265519) BOUND_VARIABLE_407836) BOUND_VARIABLE_265521) BOUND_VARIABLE_265522) (ho_4855 (ho_10641 BOUND_VARIABLE_407836 BOUND_VARIABLE_265519) (ho_4855 (ho_10641 BOUND_VARIABLE_407836 BOUND_VARIABLE_265521) BOUND_VARIABLE_265522)))))) (let ((_let_14638 (forall ((BOUND_VARIABLE_265507 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407853 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265509 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265510 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10876 BOUND_VARIABLE_265507) BOUND_VARIABLE_407853) BOUND_VARIABLE_265509) BOUND_VARIABLE_265510) (ho_4855 (ho_10644 BOUND_VARIABLE_407853 BOUND_VARIABLE_265507) (ho_4855 (ho_10644 BOUND_VARIABLE_407853 BOUND_VARIABLE_265509) BOUND_VARIABLE_265510)))))) (let ((_let_14639 (forall ((BOUND_VARIABLE_265495 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407870 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265497 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265498 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10877 BOUND_VARIABLE_265495) BOUND_VARIABLE_407870) BOUND_VARIABLE_265497) BOUND_VARIABLE_265498) (ho_4855 (ho_10644 BOUND_VARIABLE_407870 BOUND_VARIABLE_265495) (ho_4855 (ho_10644 BOUND_VARIABLE_407870 BOUND_VARIABLE_265497) BOUND_VARIABLE_265498)))))) (let ((_let_14640 (forall ((BOUND_VARIABLE_265483 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407887 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265485 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265486 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10878 BOUND_VARIABLE_265483) BOUND_VARIABLE_407887) BOUND_VARIABLE_265485) BOUND_VARIABLE_265486) (ho_4855 (ho_10644 BOUND_VARIABLE_407887 BOUND_VARIABLE_265483) (ho_4855 (ho_10644 BOUND_VARIABLE_407887 BOUND_VARIABLE_265485) BOUND_VARIABLE_265486)))))) (let ((_let_14641 (forall ((BOUND_VARIABLE_265471 tptp.product_prod_nat_nat) (BOUND_VARIABLE_407904 |u_(-> tptp.product_prod_nat_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265473 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265474 tptp.nat)) (= (ho_4855 (ho_10644 (ho_10646 (ho_10793 k_10879 BOUND_VARIABLE_265471) BOUND_VARIABLE_407904) BOUND_VARIABLE_265473) BOUND_VARIABLE_265474) (ho_4855 (ho_10644 BOUND_VARIABLE_407904 BOUND_VARIABLE_265471) (ho_4855 (ho_10644 BOUND_VARIABLE_407904 BOUND_VARIABLE_265473) BOUND_VARIABLE_265474)))))) (let ((_let_14642 (forall ((BOUND_VARIABLE_265459 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407921 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265461 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265462 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10880 BOUND_VARIABLE_265459) BOUND_VARIABLE_407921) BOUND_VARIABLE_265461) BOUND_VARIABLE_265462) (ho_4855 (ho_10647 BOUND_VARIABLE_407921 BOUND_VARIABLE_265459) (ho_4855 (ho_10647 BOUND_VARIABLE_407921 BOUND_VARIABLE_265461) BOUND_VARIABLE_265462)))))) (let ((_let_14643 (forall ((BOUND_VARIABLE_265447 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407938 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265449 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265450 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10881 BOUND_VARIABLE_265447) BOUND_VARIABLE_407938) BOUND_VARIABLE_265449) BOUND_VARIABLE_265450) (ho_4855 (ho_10647 BOUND_VARIABLE_407938 BOUND_VARIABLE_265447) (ho_4855 (ho_10647 BOUND_VARIABLE_407938 BOUND_VARIABLE_265449) BOUND_VARIABLE_265450)))))) (let ((_let_14644 (forall ((BOUND_VARIABLE_265435 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407955 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265437 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265438 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10882 BOUND_VARIABLE_265435) BOUND_VARIABLE_407955) BOUND_VARIABLE_265437) BOUND_VARIABLE_265438) (ho_4855 (ho_10647 BOUND_VARIABLE_407955 BOUND_VARIABLE_265435) (ho_4855 (ho_10647 BOUND_VARIABLE_407955 BOUND_VARIABLE_265437) BOUND_VARIABLE_265438)))))) (let ((_let_14645 (forall ((BOUND_VARIABLE_265423 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_407972 |u_(-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)|) (BOUND_VARIABLE_265425 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265426 tptp.nat)) (= (ho_4855 (ho_10647 (ho_10649 (ho_10798 k_10883 BOUND_VARIABLE_265423) BOUND_VARIABLE_407972) BOUND_VARIABLE_265425) BOUND_VARIABLE_265426) (ho_4855 (ho_10647 BOUND_VARIABLE_407972 BOUND_VARIABLE_265423) (ho_4855 (ho_10647 BOUND_VARIABLE_407972 BOUND_VARIABLE_265425) BOUND_VARIABLE_265426)))))) (let ((_let_14646 (forall ((BOUND_VARIABLE_265412 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_265413 tptp.int) (BOUND_VARIABLE_265414 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_10884 BOUND_VARIABLE_265412) BOUND_VARIABLE_265413) BOUND_VARIABLE_265414) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_265413) BOUND_VARIABLE_265414)) BOUND_VARIABLE_265412))))) (let ((_let_14647 (forall ((BOUND_VARIABLE_265401 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_265402 tptp.int) (BOUND_VARIABLE_265403 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_10885 BOUND_VARIABLE_265401) BOUND_VARIABLE_265402) BOUND_VARIABLE_265403) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_265402) BOUND_VARIABLE_265403)) BOUND_VARIABLE_265401))))) (let ((_let_14648 (forall ((BOUND_VARIABLE_265390 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265391 tptp.nat) (BOUND_VARIABLE_265392 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_10886 BOUND_VARIABLE_265390) BOUND_VARIABLE_265391) BOUND_VARIABLE_265392) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_265391) BOUND_VARIABLE_265392)) BOUND_VARIABLE_265390))))) (let ((_let_14649 (forall ((BOUND_VARIABLE_265379 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265380 tptp.nat) (BOUND_VARIABLE_265381 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_10887 BOUND_VARIABLE_265379) BOUND_VARIABLE_265380) BOUND_VARIABLE_265381) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_265380) BOUND_VARIABLE_265381)) BOUND_VARIABLE_265379))))) (let ((_let_14650 (forall ((BOUND_VARIABLE_265368 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_265369 tptp.nat) (BOUND_VARIABLE_265370 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_10888 BOUND_VARIABLE_265368) BOUND_VARIABLE_265369) BOUND_VARIABLE_265370) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_265369) BOUND_VARIABLE_265370)) BOUND_VARIABLE_265368))))) (let ((_let_14651 (forall ((BOUND_VARIABLE_265357 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_265358 tptp.nat) (BOUND_VARIABLE_265359 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_10889 BOUND_VARIABLE_265357) BOUND_VARIABLE_265358) BOUND_VARIABLE_265359) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_265358) BOUND_VARIABLE_265359)) BOUND_VARIABLE_265357))))) (let ((_let_14652 (forall ((BOUND_VARIABLE_265346 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265347 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265348 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_10890 BOUND_VARIABLE_265346) BOUND_VARIABLE_265347) BOUND_VARIABLE_265348) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_265347) BOUND_VARIABLE_265348)) BOUND_VARIABLE_265346))))) (let ((_let_14653 (forall ((BOUND_VARIABLE_265335 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265336 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265337 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_10891 BOUND_VARIABLE_265335) BOUND_VARIABLE_265336) BOUND_VARIABLE_265337) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_265336) BOUND_VARIABLE_265337)) BOUND_VARIABLE_265335))))) (let ((_let_14654 (forall ((BOUND_VARIABLE_265324 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_265325 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265326 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_10892 BOUND_VARIABLE_265324) BOUND_VARIABLE_265325) BOUND_VARIABLE_265326) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_265325) BOUND_VARIABLE_265326)) BOUND_VARIABLE_265324))))) (let ((_let_14655 (forall ((BOUND_VARIABLE_265313 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_265314 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265315 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_10893 BOUND_VARIABLE_265313) BOUND_VARIABLE_265314) BOUND_VARIABLE_265315) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_265314) BOUND_VARIABLE_265315)) BOUND_VARIABLE_265313))))) (let ((_let_14656 (forall ((BOUND_VARIABLE_408117 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_265304 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_10894 BOUND_VARIABLE_408117) BOUND_VARIABLE_265304) (ho_4914 (ho_5432 BOUND_VARIABLE_408117 (ho_5531 k_5530 BOUND_VARIABLE_265304)) (ho_5531 k_5532 BOUND_VARIABLE_265304)))))) (let ((_let_14657 (forall ((BOUND_VARIABLE_408130 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_265294 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10895 BOUND_VARIABLE_408130) BOUND_VARIABLE_265294) (ho_5218 (ho_5250 BOUND_VARIABLE_408130 (ho_5531 k_5530 BOUND_VARIABLE_265294)) (ho_5531 k_5532 BOUND_VARIABLE_265294)))))) (let ((_let_14658 (forall ((BOUND_VARIABLE_408143 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_265284 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_10896 BOUND_VARIABLE_408143) BOUND_VARIABLE_265284) (ho_4604 (ho_4603 BOUND_VARIABLE_408143 (ho_5531 k_5530 BOUND_VARIABLE_265284)) (ho_5531 k_5532 BOUND_VARIABLE_265284)))))) (let ((_let_14659 (forall ((BOUND_VARIABLE_408156 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_265266 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265267 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_408156 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_265266)) (ho_5369 k_5368 BOUND_VARIABLE_265266)) BOUND_VARIABLE_265267) (ho_4575 (ho_5379 (ho_10766 k_10897 BOUND_VARIABLE_408156) BOUND_VARIABLE_265266) BOUND_VARIABLE_265267))))) (let ((_let_14660 (forall ((BOUND_VARIABLE_408172 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_265248 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265249 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_408172 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_265248)) (ho_5369 k_5368 BOUND_VARIABLE_265248)) BOUND_VARIABLE_265249) (ho_6605 (ho_5421 (ho_10772 k_10898 BOUND_VARIABLE_408172) BOUND_VARIABLE_265248) BOUND_VARIABLE_265249))))) (let ((_let_14661 (forall ((BOUND_VARIABLE_408188 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_265238 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_10899 BOUND_VARIABLE_408188) BOUND_VARIABLE_265238) (ho_4914 (ho_5432 BOUND_VARIABLE_408188 (ho_5531 k_5530 BOUND_VARIABLE_265238)) (ho_5531 k_5532 BOUND_VARIABLE_265238)))))) (let ((_let_14662 (forall ((BOUND_VARIABLE_408201 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_265228 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10900 BOUND_VARIABLE_408201) BOUND_VARIABLE_265228) (ho_5218 (ho_5250 BOUND_VARIABLE_408201 (ho_5531 k_5530 BOUND_VARIABLE_265228)) (ho_5531 k_5532 BOUND_VARIABLE_265228)))))) (let ((_let_14663 (forall ((BOUND_VARIABLE_408214 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_265218 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_10901 BOUND_VARIABLE_408214) BOUND_VARIABLE_265218) (ho_4604 (ho_4603 BOUND_VARIABLE_408214 (ho_5531 k_5530 BOUND_VARIABLE_265218)) (ho_5531 k_5532 BOUND_VARIABLE_265218)))))) (let ((_let_14664 (forall ((BOUND_VARIABLE_408227 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_265200 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265201 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_408227 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_265200)) (ho_5369 k_5368 BOUND_VARIABLE_265200)) BOUND_VARIABLE_265201) (ho_4575 (ho_5379 (ho_10766 k_10902 BOUND_VARIABLE_408227) BOUND_VARIABLE_265200) BOUND_VARIABLE_265201))))) (let ((_let_14665 (forall ((BOUND_VARIABLE_408243 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_265182 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265183 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_408243 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_265182)) (ho_5369 k_5368 BOUND_VARIABLE_265182)) BOUND_VARIABLE_265183) (ho_6605 (ho_5421 (ho_10772 k_10903 BOUND_VARIABLE_408243) BOUND_VARIABLE_265182) BOUND_VARIABLE_265183))))) (let ((_let_14666 (forall ((BOUND_VARIABLE_408259 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_265164 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265165 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_408259 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_265164)) (ho_5369 k_5368 BOUND_VARIABLE_265164)) BOUND_VARIABLE_265165) (ho_4575 (ho_5379 (ho_10766 k_10904 BOUND_VARIABLE_408259) BOUND_VARIABLE_265164) BOUND_VARIABLE_265165))))) (let ((_let_14667 (forall ((BOUND_VARIABLE_408275 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_265146 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265147 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_408275 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_265146)) (ho_5369 k_5368 BOUND_VARIABLE_265146)) BOUND_VARIABLE_265147) (ho_6605 (ho_5421 (ho_10772 k_10905 BOUND_VARIABLE_408275) BOUND_VARIABLE_265146) BOUND_VARIABLE_265147))))) (let ((_let_14668 (forall ((BOUND_VARIABLE_408293 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408292 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_265138 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_10908 (ho_10907 k_10906 BOUND_VARIABLE_408293) BOUND_VARIABLE_408292) BOUND_VARIABLE_265138) (ho_4593 BOUND_VARIABLE_408293 (ho_5369 BOUND_VARIABLE_408292 BOUND_VARIABLE_265138)))))) (let ((_let_14669 (forall ((BOUND_VARIABLE_408315 |u_(-> Bool Bool)|) (BOUND_VARIABLE_408314 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265129 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10909 BOUND_VARIABLE_408315) BOUND_VARIABLE_408314) BOUND_VARIABLE_265129) (ho_5235 BOUND_VARIABLE_408315 (ho_4593 BOUND_VARIABLE_408314 BOUND_VARIABLE_265129)))))) (let ((_let_14670 (forall ((BOUND_VARIABLE_408329 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408328 |u_(-> tptp.product_prod_int_int tptp.int)|) (BOUND_VARIABLE_265120 tptp.product_prod_int_int)) (= (ho_4599 (ho_10912 (ho_10911 k_10910 BOUND_VARIABLE_408329) BOUND_VARIABLE_408328) BOUND_VARIABLE_265120) (ho_5218 BOUND_VARIABLE_408329 (ho_5531 BOUND_VARIABLE_408328 BOUND_VARIABLE_265120)))))) (let ((_let_14671 (forall ((BOUND_VARIABLE_408351 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_408350 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_265111 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_10913 BOUND_VARIABLE_408351) BOUND_VARIABLE_408350) BOUND_VARIABLE_265111) (ho_6671 BOUND_VARIABLE_408351 (ho_4891 BOUND_VARIABLE_408350 BOUND_VARIABLE_265111)))))) (let ((_let_14672 (forall ((BOUND_VARIABLE_408365 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408364 |u_(-> tptp.product_prod_nat_nat tptp.int)|) (BOUND_VARIABLE_265102 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_10916 (ho_10915 k_10914 BOUND_VARIABLE_408365) BOUND_VARIABLE_408364) BOUND_VARIABLE_265102) (ho_5218 BOUND_VARIABLE_408365 (ho_5423 BOUND_VARIABLE_408364 BOUND_VARIABLE_265102)))))) (let ((_let_14673 (forall ((BOUND_VARIABLE_408387 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_408386 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_265093 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_10917 BOUND_VARIABLE_408387) BOUND_VARIABLE_408386) BOUND_VARIABLE_265093) (ho_6671 BOUND_VARIABLE_408387 (ho_4891 BOUND_VARIABLE_408386 BOUND_VARIABLE_265093)))))) (let ((_let_14674 (forall ((BOUND_VARIABLE_408401 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408400 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265084 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 k_10918 BOUND_VARIABLE_408401) BOUND_VARIABLE_408400) BOUND_VARIABLE_265084) (ho_4593 BOUND_VARIABLE_408401 (ho_4855 BOUND_VARIABLE_408400 BOUND_VARIABLE_265084)))))) (let ((_let_14675 (forall ((BOUND_VARIABLE_408415 |u_(-> Bool Bool)|) (BOUND_VARIABLE_408414 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265075 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10919 BOUND_VARIABLE_408415) BOUND_VARIABLE_408414) BOUND_VARIABLE_265075) (ho_5235 BOUND_VARIABLE_408415 (ho_4593 BOUND_VARIABLE_408414 BOUND_VARIABLE_265075)))))) (let ((_let_14676 (forall ((BOUND_VARIABLE_408431 |u_(-> tptp.product_unit Bool)|) (BOUND_VARIABLE_408430 |u_(-> Bool tptp.product_unit)|) (BOUND_VARIABLE_408429 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_265064 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10922 (ho_10921 k_10920 BOUND_VARIABLE_408431) BOUND_VARIABLE_408430) BOUND_VARIABLE_408429) BOUND_VARIABLE_265064) (ho_5235 (ho_10925 (ho_10924 k_10923 BOUND_VARIABLE_408431) BOUND_VARIABLE_408430) (ho_4593 BOUND_VARIABLE_408429 BOUND_VARIABLE_265064)))))) (let ((_let_14677 (forall ((BOUND_VARIABLE_408465 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408464 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265054 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 k_10926 BOUND_VARIABLE_408465) BOUND_VARIABLE_408464) BOUND_VARIABLE_265054) (ho_4593 BOUND_VARIABLE_408465 (ho_4855 BOUND_VARIABLE_408464 BOUND_VARIABLE_265054)))))) (let ((_let_14678 (forall ((BOUND_VARIABLE_408481 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_408480 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_408479 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_265044 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 (ho_10928 k_10927 BOUND_VARIABLE_408481) BOUND_VARIABLE_408480) BOUND_VARIABLE_408479) BOUND_VARIABLE_265044) (ho_4855 BOUND_VARIABLE_408481 (ho_4855 BOUND_VARIABLE_408480 (ho_4855 BOUND_VARIABLE_408479 BOUND_VARIABLE_265044))))))) (let ((_let_14679 (forall ((BOUND_VARIABLE_408501 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408500 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_265034 tptp.nat)) (= (ho_4593 (ho_10931 (ho_10930 k_10929 BOUND_VARIABLE_408501) BOUND_VARIABLE_408500) BOUND_VARIABLE_265034) (ho_5218 BOUND_VARIABLE_408501 (ho_4925 BOUND_VARIABLE_408500 BOUND_VARIABLE_265034)))))) (let ((_let_14680 (forall ((BOUND_VARIABLE_408523 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_408522 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_265025 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_10932 BOUND_VARIABLE_408523) BOUND_VARIABLE_408522) BOUND_VARIABLE_265025) (ho_4891 BOUND_VARIABLE_408523 (ho_4914 BOUND_VARIABLE_408522 BOUND_VARIABLE_265025)))))) (let ((_let_14681 (forall ((BOUND_VARIABLE_408537 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408536 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_265016 tptp.int)) (= (ho_5218 (ho_10935 (ho_10934 k_10933 BOUND_VARIABLE_408537) BOUND_VARIABLE_408536) BOUND_VARIABLE_265016) (ho_5218 BOUND_VARIABLE_408537 (ho_4914 BOUND_VARIABLE_408536 BOUND_VARIABLE_265016)))))) (let ((_let_14682 (forall ((BOUND_VARIABLE_408561 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_408560 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_408559 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_265006 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_10936 BOUND_VARIABLE_408561) BOUND_VARIABLE_408560) BOUND_VARIABLE_408559) BOUND_VARIABLE_265006) (ho_4891 BOUND_VARIABLE_408561 (ho_4914 BOUND_VARIABLE_408560 (ho_4914 BOUND_VARIABLE_408559 BOUND_VARIABLE_265006))))))) (let ((_let_14683 (forall ((BOUND_VARIABLE_408585 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408584 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264996 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 k_10939 BOUND_VARIABLE_408585) BOUND_VARIABLE_408584) BOUND_VARIABLE_264996) (ho_4593 BOUND_VARIABLE_408585 (ho_4855 BOUND_VARIABLE_408584 BOUND_VARIABLE_264996)))))) (let ((_let_14684 (forall ((BOUND_VARIABLE_408599 |u_(-> Bool Bool)|) (BOUND_VARIABLE_408598 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264987 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10940 BOUND_VARIABLE_408599) BOUND_VARIABLE_408598) BOUND_VARIABLE_264987) (ho_5235 BOUND_VARIABLE_408599 (ho_4593 BOUND_VARIABLE_408598 BOUND_VARIABLE_264987)))))) (let ((_let_14685 (forall ((BOUND_VARIABLE_408613 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408612 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_264978 tptp.nat)) (= (ho_4593 (ho_10931 (ho_10930 k_10941 BOUND_VARIABLE_408613) BOUND_VARIABLE_408612) BOUND_VARIABLE_264978) (ho_5218 BOUND_VARIABLE_408613 (ho_4925 BOUND_VARIABLE_408612 BOUND_VARIABLE_264978)))))) (let ((_let_14686 (forall ((BOUND_VARIABLE_408627 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_408626 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264969 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_10942 BOUND_VARIABLE_408627) BOUND_VARIABLE_408626) BOUND_VARIABLE_264969) (ho_6671 BOUND_VARIABLE_408627 (ho_4891 BOUND_VARIABLE_408626 BOUND_VARIABLE_264969)))))) (let ((_let_14687 (forall ((BOUND_VARIABLE_408641 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408640 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_264960 tptp.int)) (= (ho_5218 (ho_10935 (ho_10934 k_10943 BOUND_VARIABLE_408641) BOUND_VARIABLE_408640) BOUND_VARIABLE_264960) (ho_5218 BOUND_VARIABLE_408641 (ho_4914 BOUND_VARIABLE_408640 BOUND_VARIABLE_264960)))))) (let ((_let_14688 (forall ((BOUND_VARIABLE_408657 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_408656 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_408655 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_264949 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 (ho_10945 k_10944 BOUND_VARIABLE_408657) BOUND_VARIABLE_408656) BOUND_VARIABLE_408655) BOUND_VARIABLE_264949) (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_408657) BOUND_VARIABLE_408656) (ho_4914 BOUND_VARIABLE_408655 BOUND_VARIABLE_264949)))))) (let ((_let_14689 (forall ((BOUND_VARIABLE_408678 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408677 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264939 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 k_10946 BOUND_VARIABLE_408678) BOUND_VARIABLE_408677) BOUND_VARIABLE_264939) (ho_4593 BOUND_VARIABLE_408678 (ho_4855 BOUND_VARIABLE_408677 BOUND_VARIABLE_264939)))))) (let ((_let_14690 (forall ((BOUND_VARIABLE_408694 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_408693 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_408692 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264928 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10949 (ho_10948 k_10947 BOUND_VARIABLE_408694) BOUND_VARIABLE_408693) BOUND_VARIABLE_408692) BOUND_VARIABLE_264928) (ho_4855 (ho_6793 (ho_6792 k_10950 BOUND_VARIABLE_408694) BOUND_VARIABLE_408693) (ho_4855 BOUND_VARIABLE_408692 BOUND_VARIABLE_264928)))))) (let ((_let_14691 (forall ((BOUND_VARIABLE_408720 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408719 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264918 tptp.int)) (= (ho_5218 (ho_10953 (ho_10952 k_10951 BOUND_VARIABLE_408720) BOUND_VARIABLE_408719) BOUND_VARIABLE_264918) (ho_4593 BOUND_VARIABLE_408720 (ho_4891 BOUND_VARIABLE_408719 BOUND_VARIABLE_264918)))))) (let ((_let_14692 (forall ((BOUND_VARIABLE_408745 |u_(-> tptp.rat tptp.num)|) (BOUND_VARIABLE_408743 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_408742 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264907 tptp.int)) (= (ho_5439 (ho_6939 (ho_10957 (ho_10956 k_10955 BOUND_VARIABLE_408745) BOUND_VARIABLE_408743) BOUND_VARIABLE_408742) BOUND_VARIABLE_264907) (ho_6671 (ho_10960 (ho_10959 k_10958 BOUND_VARIABLE_408745) BOUND_VARIABLE_408743) (ho_4891 BOUND_VARIABLE_408742 BOUND_VARIABLE_264907)))))) (let ((_let_14693 (forall ((BOUND_VARIABLE_408781 |u_(-> Bool Bool)|) (BOUND_VARIABLE_408780 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264897 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10961 BOUND_VARIABLE_408781) BOUND_VARIABLE_408780) BOUND_VARIABLE_264897) (ho_5235 BOUND_VARIABLE_408781 (ho_4593 BOUND_VARIABLE_408780 BOUND_VARIABLE_264897)))))) (let ((_let_14694 (forall ((BOUND_VARIABLE_408797 |u_(-> tptp.rat Bool)|) (BOUND_VARIABLE_408796 |u_(-> Bool tptp.rat)|) (BOUND_VARIABLE_408795 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264886 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10964 (ho_10963 k_10962 BOUND_VARIABLE_408797) BOUND_VARIABLE_408796) BOUND_VARIABLE_408795) BOUND_VARIABLE_264886) (ho_5235 (ho_10967 (ho_10966 k_10965 BOUND_VARIABLE_408797) BOUND_VARIABLE_408796) (ho_4593 BOUND_VARIABLE_408795 BOUND_VARIABLE_264886)))))) (let ((_let_14695 (forall ((BOUND_VARIABLE_408831 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408830 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_264876 tptp.int)) (= (ho_5218 (ho_10935 (ho_10934 k_10968 BOUND_VARIABLE_408831) BOUND_VARIABLE_408830) BOUND_VARIABLE_264876) (ho_5218 BOUND_VARIABLE_408831 (ho_4914 BOUND_VARIABLE_408830 BOUND_VARIABLE_264876)))))) (let ((_let_14696 (forall ((BOUND_VARIABLE_408847 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_408846 |u_(-> tptp.int tptp.rat)|) (BOUND_VARIABLE_408845 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_264865 tptp.int)) (= (ho_4891 (ho_6929 (ho_10971 (ho_10970 k_10969 BOUND_VARIABLE_408847) BOUND_VARIABLE_408846) BOUND_VARIABLE_408845) BOUND_VARIABLE_264865) (ho_4891 (ho_10974 (ho_10973 k_10972 BOUND_VARIABLE_408847) BOUND_VARIABLE_408846) (ho_4914 BOUND_VARIABLE_408845 BOUND_VARIABLE_264865)))))) (let ((_let_14697 (forall ((BOUND_VARIABLE_408881 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408880 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264855 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 k_10975 BOUND_VARIABLE_408881) BOUND_VARIABLE_408880) BOUND_VARIABLE_264855) (ho_4593 BOUND_VARIABLE_408881 (ho_4855 BOUND_VARIABLE_408880 BOUND_VARIABLE_264855)))))) (let ((_let_14698 (forall ((BOUND_VARIABLE_408897 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_408896 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_408895 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264844 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10358 (ho_10357 k_10976 BOUND_VARIABLE_408897) BOUND_VARIABLE_408896) BOUND_VARIABLE_408895) BOUND_VARIABLE_264844) (ho_4855 (ho_10361 (ho_10360 k_10359 BOUND_VARIABLE_408897) BOUND_VARIABLE_408896) (ho_4855 BOUND_VARIABLE_408895 BOUND_VARIABLE_264844)))))) (let ((_let_14699 (forall ((BOUND_VARIABLE_408914 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_408913 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264834 tptp.int)) (= (ho_5218 (ho_10953 (ho_10952 k_10977 BOUND_VARIABLE_408914) BOUND_VARIABLE_408913) BOUND_VARIABLE_264834) (ho_4593 BOUND_VARIABLE_408914 (ho_4891 BOUND_VARIABLE_408913 BOUND_VARIABLE_264834)))))) (let ((_let_14700 (forall ((BOUND_VARIABLE_408930 |u_(-> tptp.char tptp.num)|) (BOUND_VARIABLE_408929 |u_(-> tptp.nat tptp.char)|) (BOUND_VARIABLE_408928 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264823 tptp.int)) (= (ho_5439 (ho_6939 (ho_10339 (ho_10338 k_10978 BOUND_VARIABLE_408930) BOUND_VARIABLE_408929) BOUND_VARIABLE_408928) BOUND_VARIABLE_264823) (ho_6671 (ho_10342 (ho_10341 k_10340 BOUND_VARIABLE_408930) BOUND_VARIABLE_408929) (ho_4891 BOUND_VARIABLE_408928 BOUND_VARIABLE_264823)))))) (let ((_let_14701 (forall ((BOUND_VARIABLE_408947 |u_(-> Bool Bool)|) (BOUND_VARIABLE_408946 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264813 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10979 BOUND_VARIABLE_408947) BOUND_VARIABLE_408946) BOUND_VARIABLE_264813) (ho_5235 BOUND_VARIABLE_408947 (ho_4593 BOUND_VARIABLE_408946 BOUND_VARIABLE_264813)))))) (let ((_let_14702 (forall ((BOUND_VARIABLE_408963 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_408962 |u_(-> Bool tptp.char)|) (BOUND_VARIABLE_408961 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264802 tptp.nat)) (= (ho_4593 (ho_5216 (ho_10345 (ho_10344 k_10980 BOUND_VARIABLE_408963) BOUND_VARIABLE_408962) BOUND_VARIABLE_408961) BOUND_VARIABLE_264802) (ho_5235 (ho_10348 (ho_10347 k_10346 BOUND_VARIABLE_408963) BOUND_VARIABLE_408962) (ho_4593 BOUND_VARIABLE_408961 BOUND_VARIABLE_264802)))))) (let ((_let_14703 (forall ((BOUND_VARIABLE_408980 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_408979 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_264792 tptp.int)) (= (ho_5218 (ho_10935 (ho_10934 k_10981 BOUND_VARIABLE_408980) BOUND_VARIABLE_408979) BOUND_VARIABLE_264792) (ho_5218 BOUND_VARIABLE_408980 (ho_4914 BOUND_VARIABLE_408979 BOUND_VARIABLE_264792)))))) (let ((_let_14704 (forall ((BOUND_VARIABLE_408996 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_408995 |u_(-> tptp.int tptp.char)|) (BOUND_VARIABLE_408994 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_264781 tptp.int)) (= (ho_4891 (ho_6929 (ho_10352 (ho_10351 k_10982 BOUND_VARIABLE_408996) BOUND_VARIABLE_408995) BOUND_VARIABLE_408994) BOUND_VARIABLE_264781) (ho_4891 (ho_10355 (ho_10354 k_10353 BOUND_VARIABLE_408996) BOUND_VARIABLE_408995) (ho_4914 BOUND_VARIABLE_408994 BOUND_VARIABLE_264781)))))) (let ((_let_14705 (forall ((BOUND_VARIABLE_409013 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_409012 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264771 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 k_10983 BOUND_VARIABLE_409013) BOUND_VARIABLE_409012) BOUND_VARIABLE_264771) (ho_4593 BOUND_VARIABLE_409013 (ho_4855 BOUND_VARIABLE_409012 BOUND_VARIABLE_264771)))))) (let ((_let_14706 (forall ((BOUND_VARIABLE_409027 |u_(-> Bool Bool)|) (BOUND_VARIABLE_409026 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264762 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_10984 BOUND_VARIABLE_409027) BOUND_VARIABLE_409026) BOUND_VARIABLE_264762) (ho_5235 BOUND_VARIABLE_409027 (ho_4593 BOUND_VARIABLE_409026 BOUND_VARIABLE_264762)))))) (let ((_let_14707 (forall ((BOUND_VARIABLE_409039 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_264750 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10985 BOUND_VARIABLE_409039) BOUND_VARIABLE_264750) (ho_5218 (ho_5250 (ho_7125 k_10702 BOUND_VARIABLE_409039) (ho_5531 k_5530 BOUND_VARIABLE_264750)) (ho_5531 k_5532 BOUND_VARIABLE_264750)))))) (let ((_let_14708 (forall ((BOUND_VARIABLE_264740 tptp.product_prod_int_int)) (= (ho_10750 k_10986 BOUND_VARIABLE_264740) (ho_4604 (ho_4603 k_4602 (ho_5531 k_5532 BOUND_VARIABLE_264740)) (ho_5531 k_5530 BOUND_VARIABLE_264740)))))) (let ((_let_14709 (forall ((BOUND_VARIABLE_409062 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_264731 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_10987 BOUND_VARIABLE_409062) BOUND_VARIABLE_264731) (ho_5218 (ho_5250 BOUND_VARIABLE_409062 (ho_5531 k_5530 BOUND_VARIABLE_264731)) (ho_5531 k_5532 BOUND_VARIABLE_264731)))))) (let ((_let_14710 (forall ((BOUND_VARIABLE_264722 tptp.nat) (BOUND_VARIABLE_264723 tptp.nat)) (= (ho_4518 (ho_4517 k_10988 BOUND_VARIABLE_264722) BOUND_VARIABLE_264723) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_264723) BOUND_VARIABLE_264722))))) (let ((_let_14711 (forall ((BOUND_VARIABLE_264714 tptp.num) (BOUND_VARIABLE_264715 tptp.nat)) (= (ho_8090 (ho_8089 k_10989 BOUND_VARIABLE_264714) BOUND_VARIABLE_264715) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_264715) BOUND_VARIABLE_264714))))) (let ((_let_14712 (forall ((BOUND_VARIABLE_264706 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_264707 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 (ho_4497 k_10990 BOUND_VARIABLE_264706) BOUND_VARIABLE_264707) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_264707) BOUND_VARIABLE_264706))))) (let ((_let_14713 (forall ((BOUND_VARIABLE_264698 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_264699 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 (ho_6282 k_10991 BOUND_VARIABLE_264698) BOUND_VARIABLE_264699) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_264699) BOUND_VARIABLE_264698))))) (let ((_let_14714 (forall ((BOUND_VARIABLE_409114 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_409113 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_264683 tptp.int) (BOUND_VARIABLE_264684 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_10992 BOUND_VARIABLE_409114) BOUND_VARIABLE_409113) BOUND_VARIABLE_264683) BOUND_VARIABLE_264684) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_409114 BOUND_VARIABLE_264683) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_409113 B4) BOUND_VARIABLE_264684))))))))) (let ((_let_14715 (forall ((BOUND_VARIABLE_409137 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_409136 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_264666 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264667 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_10993 BOUND_VARIABLE_409137) BOUND_VARIABLE_409136) BOUND_VARIABLE_264666) BOUND_VARIABLE_264667) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_409137 BOUND_VARIABLE_264666) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_409136 B4) BOUND_VARIABLE_264667))))))))) (let ((_let_14716 (forall ((BOUND_VARIABLE_409160 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_409159 |u_(-> tptp.code_integer tptp.int Bool)|) (BOUND_VARIABLE_264647 tptp.int) (BOUND_VARIABLE_264648 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_10223 (ho_10222 k_10994 BOUND_VARIABLE_409160) BOUND_VARIABLE_409159) BOUND_VARIABLE_264647) BOUND_VARIABLE_264648) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 k_10702 BOUND_VARIABLE_409160) BOUND_VARIABLE_264647) B4)) (not (ho_6488 (ho_6484 (ho_10223 k_10224 BOUND_VARIABLE_409159) B4) BOUND_VARIABLE_264648))))))))) (let ((_let_14717 (forall ((BOUND_VARIABLE_409185 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_409184 |u_(-> tptp.int tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264628 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264629 tptp.int)) (= (ho_5218 (ho_5383 (ho_5388 (ho_10229 k_10995 BOUND_VARIABLE_409185) BOUND_VARIABLE_409184) BOUND_VARIABLE_264628) BOUND_VARIABLE_264629) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 k_10725 BOUND_VARIABLE_409185) BOUND_VARIABLE_264628) B4)) (not (ho_5218 (ho_5383 (ho_5388 k_5387 BOUND_VARIABLE_409184) B4) BOUND_VARIABLE_264629))))))))) (let ((_let_14718 (forall ((BOUND_VARIABLE_409221 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_409206 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_409205 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264606 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264607 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_6605 (ho_10998 (ho_10997 k_10996 BOUND_VARIABLE_409206) BOUND_VARIABLE_409205) BOUND_VARIABLE_264606))) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_409221 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) (ho_5369 k_5368 _let_1)) BOUND_VARIABLE_264607) (ho_4575 (ho_5379 (ho_10770 (ho_10769 (ho_10768 k_10999 BOUND_VARIABLE_409221) BOUND_VARIABLE_409206) BOUND_VARIABLE_409205) BOUND_VARIABLE_264606) BOUND_VARIABLE_264607)))))) (let ((_let_14719 (forall ((BOUND_VARIABLE_409245 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_409243 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_409240 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264583 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264584 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_409245 (ho_4855 BOUND_VARIABLE_409243 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264583))) (ho_4855 BOUND_VARIABLE_409240 (ho_5369 k_5368 BOUND_VARIABLE_264583))) BOUND_VARIABLE_264584) (ho_4575 (ho_5379 (ho_10770 (ho_10769 (ho_10768 k_11000 BOUND_VARIABLE_409245) BOUND_VARIABLE_409243) BOUND_VARIABLE_409240) BOUND_VARIABLE_264583) BOUND_VARIABLE_264584))))) (let ((_let_14720 (forall ((BOUND_VARIABLE_409270 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_409264 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_409263 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264560 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264561 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_6605 (ho_10998 (ho_10997 k_10996 BOUND_VARIABLE_409264) BOUND_VARIABLE_409263) BOUND_VARIABLE_264560))) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_409270 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) (ho_5369 k_5368 _let_1)) BOUND_VARIABLE_264561) (ho_6605 (ho_5421 (ho_10776 (ho_10775 (ho_10774 k_11001 BOUND_VARIABLE_409270) BOUND_VARIABLE_409264) BOUND_VARIABLE_409263) BOUND_VARIABLE_264560) BOUND_VARIABLE_264561)))))) (let ((_let_14721 (forall ((BOUND_VARIABLE_409294 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_409292 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_409289 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264537 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264538 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_409294 (ho_4855 BOUND_VARIABLE_409292 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264537))) (ho_4855 BOUND_VARIABLE_409289 (ho_5369 k_5368 BOUND_VARIABLE_264537))) BOUND_VARIABLE_264538) (ho_6605 (ho_5421 (ho_10776 (ho_10775 (ho_10774 k_11002 BOUND_VARIABLE_409294) BOUND_VARIABLE_409292) BOUND_VARIABLE_409289) BOUND_VARIABLE_264537) BOUND_VARIABLE_264538))))) (let ((_let_14722 (forall ((BOUND_VARIABLE_264528 tptp.product_prod_int_int)) (= (ho_5531 k_11003 BOUND_VARIABLE_264528) (ho_5531 k_5532 BOUND_VARIABLE_264528))))) (let ((_let_14723 (forall ((BOUND_VARIABLE_264522 tptp.product_prod_int_int)) (= (ho_5531 k_11004 BOUND_VARIABLE_264522) (ho_5531 k_5530 BOUND_VARIABLE_264522))))) (let ((_let_14724 (forall ((BOUND_VARIABLE_409326 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_264513 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_11005 BOUND_VARIABLE_409326) BOUND_VARIABLE_264513) (ho_4914 (ho_5432 BOUND_VARIABLE_409326 (ho_5531 k_5530 BOUND_VARIABLE_264513)) (ho_5531 k_5532 BOUND_VARIABLE_264513)))))) (let ((_let_14725 (forall ((BOUND_VARIABLE_409339 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_264503 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11006 BOUND_VARIABLE_409339) BOUND_VARIABLE_264503) (ho_5218 (ho_5250 BOUND_VARIABLE_409339 (ho_5531 k_5530 BOUND_VARIABLE_264503)) (ho_5531 k_5532 BOUND_VARIABLE_264503)))))) (let ((_let_14726 (forall ((BOUND_VARIABLE_409352 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_264493 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_11007 BOUND_VARIABLE_409352) BOUND_VARIABLE_264493) (ho_4604 (ho_4603 BOUND_VARIABLE_409352 (ho_5531 k_5530 BOUND_VARIABLE_264493)) (ho_5531 k_5532 BOUND_VARIABLE_264493)))))) (let ((_let_14727 (forall ((BOUND_VARIABLE_409365 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264475 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264476 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_409365 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264475)) (ho_5369 k_5368 BOUND_VARIABLE_264475)) BOUND_VARIABLE_264476) (ho_4575 (ho_5379 (ho_10766 k_11008 BOUND_VARIABLE_409365) BOUND_VARIABLE_264475) BOUND_VARIABLE_264476))))) (let ((_let_14728 (forall ((BOUND_VARIABLE_409381 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_264457 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264458 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_409381 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264457)) (ho_5369 k_5368 BOUND_VARIABLE_264457)) BOUND_VARIABLE_264458) (ho_6605 (ho_5421 (ho_10772 k_11009 BOUND_VARIABLE_409381) BOUND_VARIABLE_264457) BOUND_VARIABLE_264458))))) (let ((_let_14729 (forall ((BOUND_VARIABLE_409397 |u_(-> tptp.product_prod_int_int tptp.int)|) (BOUND_VARIABLE_264446 tptp.product_prod_int_int)) (= (ho_5531 (ho_11011 k_11010 BOUND_VARIABLE_409397) BOUND_VARIABLE_264446) (ho_5531 BOUND_VARIABLE_409397 (ho_4604 (ho_4603 k_4602 (ho_5531 k_5530 BOUND_VARIABLE_264446)) (ho_5531 k_5532 BOUND_VARIABLE_264446))))))) (let ((_let_14730 (forall ((BOUND_VARIABLE_409414 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_264435 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 k_11012 BOUND_VARIABLE_409414) BOUND_VARIABLE_264435) (ho_4599 BOUND_VARIABLE_409414 (ho_4604 (ho_4603 k_4602 (ho_5531 k_5530 BOUND_VARIABLE_264435)) (ho_5531 k_5532 BOUND_VARIABLE_264435))))))) (let ((_let_14731 (forall ((BOUND_VARIABLE_409428 |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (BOUND_VARIABLE_264424 tptp.product_prod_int_int)) (= (ho_10750 (ho_11014 k_11013 BOUND_VARIABLE_409428) BOUND_VARIABLE_264424) (ho_10750 BOUND_VARIABLE_409428 (ho_4604 (ho_4603 k_4602 (ho_5531 k_5530 BOUND_VARIABLE_264424)) (ho_5531 k_5532 BOUND_VARIABLE_264424))))))) (let ((_let_14732 (forall ((BOUND_VARIABLE_409447 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264404 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264405 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 BOUND_VARIABLE_409447 (ho_4518 (ho_4517 k_4516 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264404)) (ho_5369 k_5368 BOUND_VARIABLE_264404))) BOUND_VARIABLE_264405) (ho_4575 (ho_5379 (ho_7132 k_11015 BOUND_VARIABLE_409447) BOUND_VARIABLE_264404) BOUND_VARIABLE_264405))))) (let ((_let_14733 (forall ((BOUND_VARIABLE_409464 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_264384 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264385 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5421 BOUND_VARIABLE_409464 (ho_4518 (ho_4517 k_4516 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264384)) (ho_5369 k_5368 BOUND_VARIABLE_264384))) BOUND_VARIABLE_264385) (ho_6605 (ho_5421 (ho_11017 k_11016 BOUND_VARIABLE_409464) BOUND_VARIABLE_264384) BOUND_VARIABLE_264385))))) (let ((_let_14734 (forall ((BOUND_VARIABLE_409483 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264366 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264367 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_409483 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264366)) (ho_5369 k_5368 BOUND_VARIABLE_264366)) BOUND_VARIABLE_264367) (ho_4575 (ho_5379 (ho_10766 k_11018 BOUND_VARIABLE_409483) BOUND_VARIABLE_264366) BOUND_VARIABLE_264367))))) (let ((_let_14735 (forall ((BOUND_VARIABLE_409499 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_264348 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264349 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_409499 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264348)) (ho_5369 k_5368 BOUND_VARIABLE_264348)) BOUND_VARIABLE_264349) (ho_6605 (ho_5421 (ho_10772 k_11019 BOUND_VARIABLE_409499) BOUND_VARIABLE_264348) BOUND_VARIABLE_264349))))) (let ((_let_14736 (forall ((BOUND_VARIABLE_264340 tptp.int) (BOUND_VARIABLE_264341 tptp.int)) (= (= BOUND_VARIABLE_264340 BOUND_VARIABLE_264341) (ho_5218 (ho_5250 k_11020 BOUND_VARIABLE_264340) BOUND_VARIABLE_264341))))) (let ((_let_14737 (forall ((BOUND_VARIABLE_409525 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_409524 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_264331 tptp.num) (BOUND_VARIABLE_264332 tptp.num)) (= (ho_6266 (ho_6623 (ho_10379 (ho_11022 k_11021 BOUND_VARIABLE_409525) BOUND_VARIABLE_409524) BOUND_VARIABLE_264331) BOUND_VARIABLE_264332) (ho_6266 (ho_6623 BOUND_VARIABLE_409525 BOUND_VARIABLE_264331) (ho_4529 BOUND_VARIABLE_409524 BOUND_VARIABLE_264332)))))) (let ((_let_14738 (forall ((BOUND_VARIABLE_264322 tptp.int) (BOUND_VARIABLE_264323 tptp.int)) (= (= BOUND_VARIABLE_264322 BOUND_VARIABLE_264323) (ho_5218 (ho_5250 k_11023 BOUND_VARIABLE_264322) BOUND_VARIABLE_264323))))) (let ((_let_14739 (forall ((BOUND_VARIABLE_264315 tptp.int) (BOUND_VARIABLE_264316 tptp.int)) (= (= BOUND_VARIABLE_264315 BOUND_VARIABLE_264316) (ho_5218 (ho_5250 k_11024 BOUND_VARIABLE_264315) BOUND_VARIABLE_264316))))) (let ((_let_14740 (forall ((BOUND_VARIABLE_409560 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_409559 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_264306 tptp.num) (BOUND_VARIABLE_264307 tptp.nat)) (= (ho_4593 (ho_11028 (ho_11027 (ho_11026 k_11025 BOUND_VARIABLE_409560) BOUND_VARIABLE_409559) BOUND_VARIABLE_264306) BOUND_VARIABLE_264307) (ho_6266 (ho_6623 BOUND_VARIABLE_409560 BOUND_VARIABLE_264306) (ho_6671 BOUND_VARIABLE_409559 BOUND_VARIABLE_264307)))))) (let ((_let_14741 (forall ((BOUND_VARIABLE_264297 tptp.int) (BOUND_VARIABLE_264298 tptp.int)) (= (= BOUND_VARIABLE_264297 BOUND_VARIABLE_264298) (ho_5218 (ho_5250 k_11029 BOUND_VARIABLE_264297) BOUND_VARIABLE_264298))))) (let ((_let_14742 (forall ((BOUND_VARIABLE_409594 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_409593 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264290 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11030 BOUND_VARIABLE_409594) BOUND_VARIABLE_409593) BOUND_VARIABLE_264290) (ho_6671 BOUND_VARIABLE_409594 (ho_4891 BOUND_VARIABLE_409593 BOUND_VARIABLE_264290)))))) (let ((_let_14743 (forall ((BOUND_VARIABLE_264281 tptp.int) (BOUND_VARIABLE_264282 tptp.int)) (= (= BOUND_VARIABLE_264281 BOUND_VARIABLE_264282) (ho_5218 (ho_5250 k_11031 BOUND_VARIABLE_264281) BOUND_VARIABLE_264282))))) (let ((_let_14744 (forall ((BOUND_VARIABLE_409616 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_409615 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_264272 tptp.num) (BOUND_VARIABLE_264273 tptp.num)) (= (ho_6266 (ho_6623 (ho_10379 (ho_11022 k_11032 BOUND_VARIABLE_409616) BOUND_VARIABLE_409615) BOUND_VARIABLE_264272) BOUND_VARIABLE_264273) (ho_6266 (ho_6623 BOUND_VARIABLE_409616 (ho_4529 BOUND_VARIABLE_409615 BOUND_VARIABLE_264272)) BOUND_VARIABLE_264273))))) (let ((_let_14745 (forall ((BOUND_VARIABLE_264263 tptp.int) (BOUND_VARIABLE_264264 tptp.int)) (= (= BOUND_VARIABLE_264263 BOUND_VARIABLE_264264) (ho_5218 (ho_5250 k_11033 BOUND_VARIABLE_264263) BOUND_VARIABLE_264264))))) (let ((_let_14746 (forall ((BOUND_VARIABLE_264256 tptp.int) (BOUND_VARIABLE_264257 tptp.int)) (= (= BOUND_VARIABLE_264256 BOUND_VARIABLE_264257) (ho_5218 (ho_5250 k_11034 BOUND_VARIABLE_264256) BOUND_VARIABLE_264257))))) (let ((_let_14747 (forall ((BOUND_VARIABLE_409647 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_409646 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_264247 tptp.nat) (BOUND_VARIABLE_264248 tptp.num)) (= (ho_6266 (ho_6265 (ho_11037 (ho_11036 k_11035 BOUND_VARIABLE_409647) BOUND_VARIABLE_409646) BOUND_VARIABLE_264247) BOUND_VARIABLE_264248) (ho_6266 (ho_6623 BOUND_VARIABLE_409647 (ho_6671 BOUND_VARIABLE_409646 BOUND_VARIABLE_264247)) BOUND_VARIABLE_264248))))) (let ((_let_14748 (forall ((BOUND_VARIABLE_264238 tptp.int) (BOUND_VARIABLE_264239 tptp.int)) (= (= BOUND_VARIABLE_264238 BOUND_VARIABLE_264239) (ho_5218 (ho_5250 k_11038 BOUND_VARIABLE_264238) BOUND_VARIABLE_264239))))) (let ((_let_14749 (forall ((BOUND_VARIABLE_409678 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_409677 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_264231 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11039 BOUND_VARIABLE_409678) BOUND_VARIABLE_409677) BOUND_VARIABLE_264231) (ho_6671 BOUND_VARIABLE_409678 (ho_4891 BOUND_VARIABLE_409677 BOUND_VARIABLE_264231)))))) (let ((_let_14750 (forall ((BOUND_VARIABLE_409692 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_409691 |u_(-> tptp.rat tptp.int)|) (BOUND_VARIABLE_264222 tptp.rat)) (= (ho_6800 (ho_11042 (ho_11041 k_11040 BOUND_VARIABLE_409692) BOUND_VARIABLE_409691) BOUND_VARIABLE_264222) (ho_4914 BOUND_VARIABLE_409692 (ho_6800 BOUND_VARIABLE_409691 BOUND_VARIABLE_264222)))))) (let ((_let_14751 (forall ((BOUND_VARIABLE_409713 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_409712 |u_(-> tptp.rat tptp.int)|) (BOUND_VARIABLE_264213 tptp.rat)) (= (ho_6790 (ho_11045 (ho_11044 k_11043 BOUND_VARIABLE_409713) BOUND_VARIABLE_409712) BOUND_VARIABLE_264213) (ho_4891 BOUND_VARIABLE_409713 (ho_6800 BOUND_VARIABLE_409712 BOUND_VARIABLE_264213)))))) (let ((_let_14752 (forall ((BOUND_VARIABLE_409735 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_409734 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_264204 tptp.rat)) (= (ho_6800 (ho_11048 (ho_11047 k_11046 BOUND_VARIABLE_409735) BOUND_VARIABLE_409734) BOUND_VARIABLE_264204) (ho_4925 BOUND_VARIABLE_409735 (ho_6790 BOUND_VARIABLE_409734 BOUND_VARIABLE_264204)))))) (let ((_let_14753 (forall ((BOUND_VARIABLE_409757 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_409756 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_264195 tptp.rat)) (= (ho_6790 (ho_6810 (ho_6809 k_11049 BOUND_VARIABLE_409757) BOUND_VARIABLE_409756) BOUND_VARIABLE_264195) (ho_4855 BOUND_VARIABLE_409757 (ho_6790 BOUND_VARIABLE_409756 BOUND_VARIABLE_264195)))))) (let ((_let_14754 (forall ((BOUND_VARIABLE_409771 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_409770 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_264186 tptp.rat)) (= (ho_6804 (ho_11052 (ho_11051 k_11050 BOUND_VARIABLE_409771) BOUND_VARIABLE_409770) BOUND_VARIABLE_264186) (ho_6357 BOUND_VARIABLE_409771 (ho_6790 BOUND_VARIABLE_409770 BOUND_VARIABLE_264186)))))) (let ((_let_14755 (forall ((BOUND_VARIABLE_409796 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_409793 |u_(-> tptp.char tptp.int)|) (BOUND_VARIABLE_264177 tptp.char)) (= (ho_11053 (ho_11056 (ho_11055 k_11054 BOUND_VARIABLE_409796) BOUND_VARIABLE_409793) BOUND_VARIABLE_264177) (ho_4914 BOUND_VARIABLE_409796 (ho_11053 BOUND_VARIABLE_409793 BOUND_VARIABLE_264177)))))) (let ((_let_14756 (forall ((BOUND_VARIABLE_409817 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_409816 |u_(-> tptp.char tptp.int)|) (BOUND_VARIABLE_264168 tptp.char)) (= (ho_6811 (ho_11059 (ho_11058 k_11057 BOUND_VARIABLE_409817) BOUND_VARIABLE_409816) BOUND_VARIABLE_264168) (ho_4891 BOUND_VARIABLE_409817 (ho_11053 BOUND_VARIABLE_409816 BOUND_VARIABLE_264168)))))) (let ((_let_14757 (forall ((BOUND_VARIABLE_409839 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_409838 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_264159 tptp.char)) (= (ho_11053 (ho_11062 (ho_11061 k_11060 BOUND_VARIABLE_409839) BOUND_VARIABLE_409838) BOUND_VARIABLE_264159) (ho_4925 BOUND_VARIABLE_409839 (ho_6811 BOUND_VARIABLE_409838 BOUND_VARIABLE_264159)))))) (let ((_let_14758 (forall ((BOUND_VARIABLE_409861 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_409860 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_264150 tptp.char)) (= (ho_6811 (ho_6814 (ho_6813 k_11063 BOUND_VARIABLE_409861) BOUND_VARIABLE_409860) BOUND_VARIABLE_264150) (ho_4855 BOUND_VARIABLE_409861 (ho_6811 BOUND_VARIABLE_409860 BOUND_VARIABLE_264150)))))) (let ((_let_14759 (forall ((BOUND_VARIABLE_409875 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_409874 |u_(-> tptp.char tptp.nat)|) (BOUND_VARIABLE_264141 tptp.char)) (= (ho_11067 (ho_11066 (ho_11065 k_11064 BOUND_VARIABLE_409875) BOUND_VARIABLE_409874) BOUND_VARIABLE_264141) (ho_6357 BOUND_VARIABLE_409875 (ho_6811 BOUND_VARIABLE_409874 BOUND_VARIABLE_264141)))))) (let ((_let_14760 (forall ((BOUND_VARIABLE_409898 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264122 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264123 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_409898 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264122)) (ho_5369 k_5368 BOUND_VARIABLE_264122)) BOUND_VARIABLE_264123) (ho_4575 (ho_5379 (ho_10766 k_11068 BOUND_VARIABLE_409898) BOUND_VARIABLE_264122) BOUND_VARIABLE_264123))))) (let ((_let_14761 (forall ((BOUND_VARIABLE_409917 |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_409914 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264102 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264103 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 BOUND_VARIABLE_409917 (ho_4574 (ho_4847 BOUND_VARIABLE_409914 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_264102)) (ho_5369 k_5368 BOUND_VARIABLE_264102))) BOUND_VARIABLE_264103) (ho_4575 (ho_5379 (ho_10766 (ho_11070 k_11069 BOUND_VARIABLE_409917) BOUND_VARIABLE_409914) BOUND_VARIABLE_264102) BOUND_VARIABLE_264103))))) (let ((_let_14762 (forall ((BOUND_VARIABLE_409936 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_264073 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264074 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4513 k_4512 (ho_5472 (ho_6600 k_6599 BOUND_VARIABLE_409936) BOUND_VARIABLE_264074)) BOUND_VARIABLE_264073) (ho_4575 (ho_5379 (ho_10766 k_11071 BOUND_VARIABLE_409936) BOUND_VARIABLE_264073) BOUND_VARIABLE_264074))))) (let ((_let_14763 (forall ((BOUND_VARIABLE_409951 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_264045 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264046 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_5467 k_5466 (ho_5479 (ho_6603 k_6602 BOUND_VARIABLE_409951) BOUND_VARIABLE_264046)) BOUND_VARIABLE_264045) (ho_6605 (ho_5421 (ho_10772 k_11072 BOUND_VARIABLE_409951) BOUND_VARIABLE_264045) BOUND_VARIABLE_264046))))) (let ((_let_14764 (forall ((BOUND_VARIABLE_409968 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_264038 tptp.nat)) (= (ho_4855 (ho_6932 k_11073 BOUND_VARIABLE_409968) BOUND_VARIABLE_264038) (ho_4855 BOUND_VARIABLE_409968 BOUND_VARIABLE_264038))))) (let ((_let_14765 (forall ((BOUND_VARIABLE_409978 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264031 tptp.nat)) (= (ho_4593 (ho_5216 k_11074 BOUND_VARIABLE_409978) BOUND_VARIABLE_264031) (ho_4593 BOUND_VARIABLE_409978 BOUND_VARIABLE_264031))))) (let ((_let_14766 (forall ((BOUND_VARIABLE_264019 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_409989 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_264021 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 (ho_11076 k_11075 BOUND_VARIABLE_264019) BOUND_VARIABLE_409989) BOUND_VARIABLE_264021) (and (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_264021) BOUND_VARIABLE_264019) (ho_4599 BOUND_VARIABLE_409989 BOUND_VARIABLE_264021)))))) (let ((_let_14767 (forall ((BOUND_VARIABLE_264008 tptp.set_nat) (BOUND_VARIABLE_410008 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_264010 tptp.nat)) (= (ho_4593 (ho_5216 (ho_8404 k_11077 BOUND_VARIABLE_264008) BOUND_VARIABLE_410008) BOUND_VARIABLE_264010) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_264010) BOUND_VARIABLE_264008) (ho_4593 BOUND_VARIABLE_410008 BOUND_VARIABLE_264010)))))) (let ((_let_14768 (forall ((BOUND_VARIABLE_263997 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_410023 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263999 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 (ho_11079 k_11078 BOUND_VARIABLE_263997) BOUND_VARIABLE_410023) BOUND_VARIABLE_263999) (and (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_263999) BOUND_VARIABLE_263997) (ho_4575 BOUND_VARIABLE_410023 BOUND_VARIABLE_263999)))))) (let ((_let_14769 (forall ((BOUND_VARIABLE_263986 tptp.set_int) (BOUND_VARIABLE_410042 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263988 tptp.int)) (= (ho_5218 (ho_5220 (ho_8401 k_11080 BOUND_VARIABLE_263986) BOUND_VARIABLE_410042) BOUND_VARIABLE_263988) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263988) BOUND_VARIABLE_263986) (ho_5218 BOUND_VARIABLE_410042 BOUND_VARIABLE_263988)))))) (let ((_let_14770 (forall ((BOUND_VARIABLE_263975 tptp.set_o) (BOUND_VARIABLE_410057 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263977 Bool)) (= (ho_5235 (ho_7258 (ho_7257 k_11081 BOUND_VARIABLE_263975) BOUND_VARIABLE_410057) BOUND_VARIABLE_263977) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263977) BOUND_VARIABLE_263975) (ho_5235 BOUND_VARIABLE_410057 BOUND_VARIABLE_263977)))))) (let ((_let_14771 (forall ((BOUND_VARIABLE_263964 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_410072 |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (BOUND_VARIABLE_263966 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_11084 (ho_11083 k_11082 BOUND_VARIABLE_263964) BOUND_VARIABLE_410072) BOUND_VARIABLE_263966) (and (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_263966) BOUND_VARIABLE_263964) (ho_4544 BOUND_VARIABLE_410072 BOUND_VARIABLE_263966)))))) (let ((_let_14772 (forall ((BOUND_VARIABLE_263953 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_410094 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_263955 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 (ho_11076 k_11085 BOUND_VARIABLE_263953) BOUND_VARIABLE_410094) BOUND_VARIABLE_263955) (and (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_263955) BOUND_VARIABLE_263953) (ho_4599 BOUND_VARIABLE_410094 BOUND_VARIABLE_263955)))))) (let ((_let_14773 (forall ((BOUND_VARIABLE_263942 tptp.set_nat) (BOUND_VARIABLE_410109 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263944 tptp.nat)) (= (ho_4593 (ho_5216 (ho_8404 k_11086 BOUND_VARIABLE_263942) BOUND_VARIABLE_410109) BOUND_VARIABLE_263944) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263944) BOUND_VARIABLE_263942) (ho_4593 BOUND_VARIABLE_410109 BOUND_VARIABLE_263944)))))) (let ((_let_14774 (forall ((BOUND_VARIABLE_263931 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_410124 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263933 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 (ho_11079 k_11087 BOUND_VARIABLE_263931) BOUND_VARIABLE_410124) BOUND_VARIABLE_263933) (and (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_263933) BOUND_VARIABLE_263931) (ho_4575 BOUND_VARIABLE_410124 BOUND_VARIABLE_263933)))))) (let ((_let_14775 (forall ((BOUND_VARIABLE_263920 tptp.set_int) (BOUND_VARIABLE_410139 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263922 tptp.int)) (= (ho_5218 (ho_5220 (ho_8401 k_11088 BOUND_VARIABLE_263920) BOUND_VARIABLE_410139) BOUND_VARIABLE_263922) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263922) BOUND_VARIABLE_263920) (ho_5218 BOUND_VARIABLE_410139 BOUND_VARIABLE_263922)))))) (let ((_let_14776 (forall ((BOUND_VARIABLE_263909 tptp.set_o) (BOUND_VARIABLE_410154 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263911 Bool)) (= (ho_5235 (ho_7258 (ho_7257 k_11089 BOUND_VARIABLE_263909) BOUND_VARIABLE_410154) BOUND_VARIABLE_263911) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263911) BOUND_VARIABLE_263909) (ho_5235 BOUND_VARIABLE_410154 BOUND_VARIABLE_263911)))))) (let ((_let_14777 (forall ((BOUND_VARIABLE_263898 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_410169 |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (BOUND_VARIABLE_263900 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_11084 (ho_11083 k_11090 BOUND_VARIABLE_263898) BOUND_VARIABLE_410169) BOUND_VARIABLE_263900) (and (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_263900) BOUND_VARIABLE_263898) (ho_4544 BOUND_VARIABLE_410169 BOUND_VARIABLE_263900)))))) (let ((_let_14778 (forall ((BOUND_VARIABLE_263887 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_410184 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_263889 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 (ho_11076 k_11091 BOUND_VARIABLE_263887) BOUND_VARIABLE_410184) BOUND_VARIABLE_263889) (and (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_263889) BOUND_VARIABLE_263887) (ho_4599 BOUND_VARIABLE_410184 BOUND_VARIABLE_263889)))))) (let ((_let_14779 (forall ((BOUND_VARIABLE_263876 tptp.set_nat) (BOUND_VARIABLE_410199 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263878 tptp.nat)) (= (ho_4593 (ho_5216 (ho_8404 k_11092 BOUND_VARIABLE_263876) BOUND_VARIABLE_410199) BOUND_VARIABLE_263878) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263878) BOUND_VARIABLE_263876) (ho_4593 BOUND_VARIABLE_410199 BOUND_VARIABLE_263878)))))) (let ((_let_14780 (forall ((BOUND_VARIABLE_263865 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_410214 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263867 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 (ho_11079 k_11093 BOUND_VARIABLE_263865) BOUND_VARIABLE_410214) BOUND_VARIABLE_263867) (and (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_263867) BOUND_VARIABLE_263865) (ho_4575 BOUND_VARIABLE_410214 BOUND_VARIABLE_263867)))))) (let ((_let_14781 (forall ((BOUND_VARIABLE_263854 tptp.set_int) (BOUND_VARIABLE_410229 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263856 tptp.int)) (= (ho_5218 (ho_5220 (ho_8401 k_11094 BOUND_VARIABLE_263854) BOUND_VARIABLE_410229) BOUND_VARIABLE_263856) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263856) BOUND_VARIABLE_263854) (ho_5218 BOUND_VARIABLE_410229 BOUND_VARIABLE_263856)))))) (let ((_let_14782 (forall ((BOUND_VARIABLE_263843 tptp.set_o) (BOUND_VARIABLE_410244 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263845 Bool)) (= (ho_5235 (ho_7258 (ho_7257 k_11095 BOUND_VARIABLE_263843) BOUND_VARIABLE_410244) BOUND_VARIABLE_263845) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263845) BOUND_VARIABLE_263843) (ho_5235 BOUND_VARIABLE_410244 BOUND_VARIABLE_263845)))))) (let ((_let_14783 (forall ((BOUND_VARIABLE_263832 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_410259 |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (BOUND_VARIABLE_263834 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_11084 (ho_11083 k_11096 BOUND_VARIABLE_263832) BOUND_VARIABLE_410259) BOUND_VARIABLE_263834) (and (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_263834) BOUND_VARIABLE_263832) (ho_4544 BOUND_VARIABLE_410259 BOUND_VARIABLE_263834)))))) (let ((_let_14784 (forall ((BOUND_VARIABLE_263821 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_410274 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_263823 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 (ho_11076 k_11097 BOUND_VARIABLE_263821) BOUND_VARIABLE_410274) BOUND_VARIABLE_263823) (and (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_263823) BOUND_VARIABLE_263821) (ho_4599 BOUND_VARIABLE_410274 BOUND_VARIABLE_263823)))))) (let ((_let_14785 (forall ((BOUND_VARIABLE_263810 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_410289 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_263812 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 (ho_11076 k_11098 BOUND_VARIABLE_263810) BOUND_VARIABLE_410289) BOUND_VARIABLE_263812) (and (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_263812) BOUND_VARIABLE_263810) (ho_4599 BOUND_VARIABLE_410289 BOUND_VARIABLE_263812)))))) (let ((_let_14786 (forall ((BOUND_VARIABLE_263799 tptp.set_nat) (BOUND_VARIABLE_410304 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263801 tptp.nat)) (= (ho_4593 (ho_5216 (ho_8404 k_11099 BOUND_VARIABLE_263799) BOUND_VARIABLE_410304) BOUND_VARIABLE_263801) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263801) BOUND_VARIABLE_263799) (ho_4593 BOUND_VARIABLE_410304 BOUND_VARIABLE_263801)))))) (let ((_let_14787 (forall ((BOUND_VARIABLE_263788 tptp.set_nat) (BOUND_VARIABLE_410319 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263790 tptp.nat)) (= (ho_4593 (ho_5216 (ho_8404 k_11100 BOUND_VARIABLE_263788) BOUND_VARIABLE_410319) BOUND_VARIABLE_263790) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263790) BOUND_VARIABLE_263788) (ho_4593 BOUND_VARIABLE_410319 BOUND_VARIABLE_263790)))))) (let ((_let_14788 (forall ((BOUND_VARIABLE_263777 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_410334 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263779 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 (ho_11079 k_11101 BOUND_VARIABLE_263777) BOUND_VARIABLE_410334) BOUND_VARIABLE_263779) (and (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_263779) BOUND_VARIABLE_263777) (ho_4575 BOUND_VARIABLE_410334 BOUND_VARIABLE_263779)))))) (let ((_let_14789 (forall ((BOUND_VARIABLE_263766 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_410349 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263768 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_6080 (ho_11079 k_11102 BOUND_VARIABLE_263766) BOUND_VARIABLE_410349) BOUND_VARIABLE_263768) (and (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_263768) BOUND_VARIABLE_263766) (ho_4575 BOUND_VARIABLE_410349 BOUND_VARIABLE_263768)))))) (let ((_let_14790 (forall ((BOUND_VARIABLE_263755 tptp.set_int) (BOUND_VARIABLE_410364 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263757 tptp.int)) (= (ho_5218 (ho_5220 (ho_8401 k_11103 BOUND_VARIABLE_263755) BOUND_VARIABLE_410364) BOUND_VARIABLE_263757) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263757) BOUND_VARIABLE_263755) (ho_5218 BOUND_VARIABLE_410364 BOUND_VARIABLE_263757)))))) (let ((_let_14791 (forall ((BOUND_VARIABLE_263744 tptp.set_int) (BOUND_VARIABLE_410379 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263746 tptp.int)) (= (ho_5218 (ho_5220 (ho_8401 k_11104 BOUND_VARIABLE_263744) BOUND_VARIABLE_410379) BOUND_VARIABLE_263746) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263746) BOUND_VARIABLE_263744) (ho_5218 BOUND_VARIABLE_410379 BOUND_VARIABLE_263746)))))) (let ((_let_14792 (forall ((BOUND_VARIABLE_263733 tptp.set_o) (BOUND_VARIABLE_410394 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263735 Bool)) (= (ho_5235 (ho_7258 (ho_7257 k_11105 BOUND_VARIABLE_263733) BOUND_VARIABLE_410394) BOUND_VARIABLE_263735) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263735) BOUND_VARIABLE_263733) (ho_5235 BOUND_VARIABLE_410394 BOUND_VARIABLE_263735)))))) (let ((_let_14793 (forall ((BOUND_VARIABLE_263722 tptp.set_o) (BOUND_VARIABLE_410409 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263724 Bool)) (= (ho_5235 (ho_7258 (ho_7257 k_11106 BOUND_VARIABLE_263722) BOUND_VARIABLE_410409) BOUND_VARIABLE_263724) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263724) BOUND_VARIABLE_263722) (ho_5235 BOUND_VARIABLE_410409 BOUND_VARIABLE_263724)))))) (let ((_let_14794 (forall ((BOUND_VARIABLE_263711 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_410424 |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (BOUND_VARIABLE_263713 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_11084 (ho_11083 k_11107 BOUND_VARIABLE_263711) BOUND_VARIABLE_410424) BOUND_VARIABLE_263713) (and (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_263713) BOUND_VARIABLE_263711) (ho_4544 BOUND_VARIABLE_410424 BOUND_VARIABLE_263713)))))) (let ((_let_14795 (forall ((BOUND_VARIABLE_263700 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_410439 |u_(-> tptp.produc3843707927480180839at_nat Bool)|) (BOUND_VARIABLE_263702 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_11084 (ho_11083 k_11108 BOUND_VARIABLE_263700) BOUND_VARIABLE_410439) BOUND_VARIABLE_263702) (and (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_263702) BOUND_VARIABLE_263700) (ho_4544 BOUND_VARIABLE_410439 BOUND_VARIABLE_263702)))))) (let ((_let_14796 (forall ((BOUND_VARIABLE_263689 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263690 tptp.int) (BOUND_VARIABLE_263691 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_11109 BOUND_VARIABLE_263689) BOUND_VARIABLE_263690) BOUND_VARIABLE_263691) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_263690) BOUND_VARIABLE_263691)) BOUND_VARIABLE_263689))))) (let ((_let_14797 (forall ((BOUND_VARIABLE_263678 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263679 tptp.int) (BOUND_VARIABLE_263680 tptp.int)) (= (ho_5218 (ho_5250 (ho_5249 k_11110 BOUND_VARIABLE_263678) BOUND_VARIABLE_263679) BOUND_VARIABLE_263680) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_263679) BOUND_VARIABLE_263680)) BOUND_VARIABLE_263678))))) (let ((_let_14798 (forall ((BOUND_VARIABLE_263667 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263668 tptp.nat) (BOUND_VARIABLE_263669 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_11111 BOUND_VARIABLE_263667) BOUND_VARIABLE_263668) BOUND_VARIABLE_263669) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_263668) BOUND_VARIABLE_263669)) BOUND_VARIABLE_263667))))) (let ((_let_14799 (forall ((BOUND_VARIABLE_263656 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263657 tptp.nat) (BOUND_VARIABLE_263658 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_11112 BOUND_VARIABLE_263656) BOUND_VARIABLE_263657) BOUND_VARIABLE_263658) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_263657) BOUND_VARIABLE_263658)) BOUND_VARIABLE_263656))))) (let ((_let_14800 (forall ((BOUND_VARIABLE_263645 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_263646 tptp.nat) (BOUND_VARIABLE_263647 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_11113 BOUND_VARIABLE_263645) BOUND_VARIABLE_263646) BOUND_VARIABLE_263647) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_263646) BOUND_VARIABLE_263647)) BOUND_VARIABLE_263645))))) (let ((_let_14801 (forall ((BOUND_VARIABLE_263634 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_263635 tptp.nat) (BOUND_VARIABLE_263636 tptp.num)) (= (ho_6266 (ho_6265 (ho_6264 k_11114 BOUND_VARIABLE_263634) BOUND_VARIABLE_263635) BOUND_VARIABLE_263636) (ho_6269 (ho_6268 k_6267 (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_263635) BOUND_VARIABLE_263636)) BOUND_VARIABLE_263634))))) (let ((_let_14802 (forall ((BOUND_VARIABLE_263623 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263624 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263625 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_11115 BOUND_VARIABLE_263623) BOUND_VARIABLE_263624) BOUND_VARIABLE_263625) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_263624) BOUND_VARIABLE_263625)) BOUND_VARIABLE_263623))))) (let ((_let_14803 (forall ((BOUND_VARIABLE_263612 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263613 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263614 tptp.set_Pr1261947904930325089at_nat)) (= (ho_5240 (ho_4491 (ho_5255 k_11116 BOUND_VARIABLE_263612) BOUND_VARIABLE_263613) BOUND_VARIABLE_263614) (ho_5242 (ho_4535 k_4534 (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_263613) BOUND_VARIABLE_263614)) BOUND_VARIABLE_263612))))) (let ((_let_14804 (forall ((BOUND_VARIABLE_263601 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_263602 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263603 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_11117 BOUND_VARIABLE_263601) BOUND_VARIABLE_263602) BOUND_VARIABLE_263603) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_263602) BOUND_VARIABLE_263603)) BOUND_VARIABLE_263601))))) (let ((_let_14805 (forall ((BOUND_VARIABLE_263590 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_263591 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263592 tptp.set_Pr4329608150637261639at_nat)) (= (ho_5242 (ho_6280 (ho_6279 k_11118 BOUND_VARIABLE_263590) BOUND_VARIABLE_263591) BOUND_VARIABLE_263592) (ho_6286 (ho_6285 k_6284 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_263591) BOUND_VARIABLE_263592)) BOUND_VARIABLE_263590))))) (let ((_let_14806 (forall ((BOUND_VARIABLE_410583 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263580 tptp.product_prod_int_int)) (let ((_let_1 (ho_5531 k_5530 BOUND_VARIABLE_263580))) (= (ho_4599 (ho_5360 k_11119 BOUND_VARIABLE_410583) BOUND_VARIABLE_263580) (and (= _let_1 (ho_5531 k_5532 BOUND_VARIABLE_263580)) (ho_5218 BOUND_VARIABLE_410583 _let_1))))))) (let ((_let_14807 (forall ((BOUND_VARIABLE_410595 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263563 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_263563)) (ho_4899 (ho_4898 k_4897 k_6606) (ho_5339 k_5338 BOUND_VARIABLE_410595)))) (ho_4599 (ho_5360 k_11120 BOUND_VARIABLE_410595) BOUND_VARIABLE_263563))))) (let ((_let_14808 (forall ((BOUND_VARIABLE_410613 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_263553 tptp.product_prod_int_int) (BOUND_VARIABLE_263554 tptp.product_prod_int_int)) (= (ho_4599 (ho_6822 (ho_10159 k_11121 BOUND_VARIABLE_410613) BOUND_VARIABLE_263553) BOUND_VARIABLE_263554) (and (= BOUND_VARIABLE_263553 BOUND_VARIABLE_263554) (ho_4599 BOUND_VARIABLE_410613 BOUND_VARIABLE_263553)))))) (let ((_let_14809 (forall ((BOUND_VARIABLE_410626 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263543 tptp.nat) (BOUND_VARIABLE_263544 tptp.nat)) (= (ho_4593 (ho_4511 (ho_10154 k_11122 BOUND_VARIABLE_410626) BOUND_VARIABLE_263543) BOUND_VARIABLE_263544) (and (= BOUND_VARIABLE_263543 BOUND_VARIABLE_263544) (ho_4593 BOUND_VARIABLE_410626 BOUND_VARIABLE_263543)))))) (let ((_let_14810 (forall ((BOUND_VARIABLE_410639 |u_(-> tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263533 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263534 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5379 (ho_10194 k_11123 BOUND_VARIABLE_410639) BOUND_VARIABLE_263533) BOUND_VARIABLE_263534) (and (= BOUND_VARIABLE_263533 BOUND_VARIABLE_263534) (ho_4575 BOUND_VARIABLE_410639 BOUND_VARIABLE_263533)))))) (let ((_let_14811 (forall ((BOUND_VARIABLE_410654 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_263519 tptp.set_nat) (BOUND_VARIABLE_410653 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263521 tptp.nat)) (= (ho_4593 (ho_5216 (ho_8404 (ho_8671 k_11124 BOUND_VARIABLE_410654) BOUND_VARIABLE_263519) BOUND_VARIABLE_410653) BOUND_VARIABLE_263521) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263521) (ho_4560 (ho_4857 k_5911 BOUND_VARIABLE_410654) BOUND_VARIABLE_263519)) (ho_4593 BOUND_VARIABLE_410653 BOUND_VARIABLE_263521)))))) (let ((_let_14812 (forall ((BOUND_VARIABLE_263505 tptp.set_nat) (BOUND_VARIABLE_410674 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_410673 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_263508 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 (ho_11126 k_11125 BOUND_VARIABLE_263505) BOUND_VARIABLE_410674) BOUND_VARIABLE_410673) BOUND_VARIABLE_263508) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263508) BOUND_VARIABLE_263505) (ho_4593 BOUND_VARIABLE_410674 (ho_4855 BOUND_VARIABLE_410673 BOUND_VARIABLE_263508))))))) (let ((_let_14813 (forall ((BOUND_VARIABLE_410697 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_263492 tptp.set_int) (BOUND_VARIABLE_410696 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263494 tptp.nat)) (= (ho_4593 (ho_5216 (ho_11129 (ho_11128 k_11127 BOUND_VARIABLE_410697) BOUND_VARIABLE_263492) BOUND_VARIABLE_410696) BOUND_VARIABLE_263494) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263494) (ho_4894 (ho_4893 k_4892 BOUND_VARIABLE_410697) BOUND_VARIABLE_263492)) (ho_4593 BOUND_VARIABLE_410696 BOUND_VARIABLE_263494)))))) (let ((_let_14814 (forall ((BOUND_VARIABLE_263478 tptp.set_int) (BOUND_VARIABLE_410725 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_410724 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_263481 tptp.int)) (= (ho_5218 (ho_10953 (ho_10952 (ho_11131 k_11130 BOUND_VARIABLE_263478) BOUND_VARIABLE_410725) BOUND_VARIABLE_410724) BOUND_VARIABLE_263481) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263481) BOUND_VARIABLE_263478) (ho_4593 BOUND_VARIABLE_410725 (ho_4891 BOUND_VARIABLE_410724 BOUND_VARIABLE_263481))))))) (let ((_let_14815 (forall ((BOUND_VARIABLE_410748 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_263465 tptp.set_o) (BOUND_VARIABLE_410747 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263467 tptp.nat)) (= (ho_4593 (ho_5216 (ho_11134 (ho_11133 k_11132 BOUND_VARIABLE_410748) BOUND_VARIABLE_263465) BOUND_VARIABLE_410747) BOUND_VARIABLE_263467) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263467) (ho_4867 (ho_7304 k_7303 BOUND_VARIABLE_410748) BOUND_VARIABLE_263465)) (ho_4593 BOUND_VARIABLE_410747 BOUND_VARIABLE_263467)))))) (let ((_let_14816 (forall ((BOUND_VARIABLE_263451 tptp.set_o) (BOUND_VARIABLE_410776 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_410775 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_263454 Bool)) (= (ho_5235 (ho_11138 (ho_11137 (ho_11136 k_11135 BOUND_VARIABLE_263451) BOUND_VARIABLE_410776) BOUND_VARIABLE_410775) BOUND_VARIABLE_263454) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263454) BOUND_VARIABLE_263451) (ho_4593 BOUND_VARIABLE_410776 (ho_6840 BOUND_VARIABLE_410775 BOUND_VARIABLE_263454))))))) (let ((_let_14817 (forall ((BOUND_VARIABLE_410807 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_263438 tptp.set_nat) (BOUND_VARIABLE_410806 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263440 tptp.int)) (= (ho_5218 (ho_5220 (ho_11141 (ho_11140 k_11139 BOUND_VARIABLE_410807) BOUND_VARIABLE_263438) BOUND_VARIABLE_410806) BOUND_VARIABLE_263440) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263440) (ho_4931 (ho_4930 k_4929 BOUND_VARIABLE_410807) BOUND_VARIABLE_263438)) (ho_5218 BOUND_VARIABLE_410806 BOUND_VARIABLE_263440)))))) (let ((_let_14818 (forall ((BOUND_VARIABLE_263424 tptp.set_nat) (BOUND_VARIABLE_410835 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_410834 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_263427 tptp.nat)) (= (ho_4593 (ho_10931 (ho_10930 (ho_11143 k_11142 BOUND_VARIABLE_263424) BOUND_VARIABLE_410835) BOUND_VARIABLE_410834) BOUND_VARIABLE_263427) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263427) BOUND_VARIABLE_263424) (ho_5218 BOUND_VARIABLE_410835 (ho_4925 BOUND_VARIABLE_410834 BOUND_VARIABLE_263427))))))) (let ((_let_14819 (forall ((BOUND_VARIABLE_410858 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263411 tptp.set_nat) (BOUND_VARIABLE_410857 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263413 Bool)) (= (ho_5235 (ho_7258 (ho_11146 (ho_11145 k_11144 BOUND_VARIABLE_410858) BOUND_VARIABLE_263411) BOUND_VARIABLE_410857) BOUND_VARIABLE_263413) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263413) (ho_7252 (ho_7251 k_7250 BOUND_VARIABLE_410858) BOUND_VARIABLE_263411)) (ho_5235 BOUND_VARIABLE_410857 BOUND_VARIABLE_263413)))))) (let ((_let_14820 (forall ((BOUND_VARIABLE_263397 tptp.set_nat) (BOUND_VARIABLE_410886 |u_(-> Bool Bool)|) (BOUND_VARIABLE_410885 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_263400 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_11148 k_11147 BOUND_VARIABLE_263397) BOUND_VARIABLE_410886) BOUND_VARIABLE_410885) BOUND_VARIABLE_263400) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263400) BOUND_VARIABLE_263397) (ho_5235 BOUND_VARIABLE_410886 (ho_4593 BOUND_VARIABLE_410885 BOUND_VARIABLE_263400))))))) (let ((_let_14821 (forall ((BOUND_VARIABLE_410909 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_263384 tptp.set_nat) (BOUND_VARIABLE_410908 |u_(-> tptp.rat Bool)|) (BOUND_VARIABLE_263386 tptp.rat)) (= (ho_7184 (ho_11152 (ho_11151 (ho_11150 k_11149 BOUND_VARIABLE_410909) BOUND_VARIABLE_263384) BOUND_VARIABLE_410908) BOUND_VARIABLE_263386) (and (ho_7175 (ho_7174 k_7173 BOUND_VARIABLE_263386) (ho_7172 (ho_7171 k_7170 BOUND_VARIABLE_410909) BOUND_VARIABLE_263384)) (ho_7184 BOUND_VARIABLE_410908 BOUND_VARIABLE_263386)))))) (let ((_let_14822 (forall ((BOUND_VARIABLE_263370 tptp.set_nat) (BOUND_VARIABLE_410940 |u_(-> tptp.rat Bool)|) (BOUND_VARIABLE_410939 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_263373 tptp.nat)) (= (ho_4593 (ho_11156 (ho_11155 (ho_11154 k_11153 BOUND_VARIABLE_263370) BOUND_VARIABLE_410940) BOUND_VARIABLE_410939) BOUND_VARIABLE_263373) (and (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_263373) BOUND_VARIABLE_263370) (ho_7184 BOUND_VARIABLE_410940 (ho_6357 BOUND_VARIABLE_410939 BOUND_VARIABLE_263373))))))) (let ((_let_14823 (forall ((BOUND_VARIABLE_410971 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_263357 tptp.set_int) (BOUND_VARIABLE_410970 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263359 tptp.int)) (= (ho_5218 (ho_5220 (ho_8401 (ho_11158 k_11157 BOUND_VARIABLE_410971) BOUND_VARIABLE_263357) BOUND_VARIABLE_410970) BOUND_VARIABLE_263359) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263359) (ho_4913 (ho_4916 k_4919 BOUND_VARIABLE_410971) BOUND_VARIABLE_263357)) (ho_5218 BOUND_VARIABLE_410970 BOUND_VARIABLE_263359)))))) (let ((_let_14824 (forall ((BOUND_VARIABLE_263343 tptp.set_int) (BOUND_VARIABLE_410995 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_410994 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_263346 tptp.int)) (= (ho_5218 (ho_10935 (ho_10934 (ho_11160 k_11159 BOUND_VARIABLE_263343) BOUND_VARIABLE_410995) BOUND_VARIABLE_410994) BOUND_VARIABLE_263346) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263346) BOUND_VARIABLE_263343) (ho_5218 BOUND_VARIABLE_410995 (ho_4914 BOUND_VARIABLE_410994 BOUND_VARIABLE_263346))))))) (let ((_let_14825 (forall ((BOUND_VARIABLE_411018 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_263330 tptp.set_o) (BOUND_VARIABLE_411017 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263332 tptp.int)) (= (ho_5218 (ho_5220 (ho_11163 (ho_11162 k_11161 BOUND_VARIABLE_411018) BOUND_VARIABLE_263330) BOUND_VARIABLE_411017) BOUND_VARIABLE_263332) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263332) (ho_6100 (ho_6099 k_6098 BOUND_VARIABLE_411018) BOUND_VARIABLE_263330)) (ho_5218 BOUND_VARIABLE_411017 BOUND_VARIABLE_263332)))))) (let ((_let_14826 (forall ((BOUND_VARIABLE_263316 tptp.set_o) (BOUND_VARIABLE_411046 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_411045 |u_(-> Bool tptp.int)|) (BOUND_VARIABLE_263319 Bool)) (= (ho_5235 (ho_11167 (ho_11166 (ho_11165 k_11164 BOUND_VARIABLE_263316) BOUND_VARIABLE_411046) BOUND_VARIABLE_411045) BOUND_VARIABLE_263319) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263319) BOUND_VARIABLE_263316) (ho_5218 BOUND_VARIABLE_411046 (ho_6094 BOUND_VARIABLE_411045 BOUND_VARIABLE_263319))))))) (let ((_let_14827 (forall ((BOUND_VARIABLE_411077 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263303 tptp.set_int) (BOUND_VARIABLE_411076 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263305 Bool)) (= (ho_5235 (ho_7258 (ho_11170 (ho_11169 k_11168 BOUND_VARIABLE_411077) BOUND_VARIABLE_263303) BOUND_VARIABLE_411076) BOUND_VARIABLE_263305) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263305) (ho_11173 (ho_11172 k_11171 BOUND_VARIABLE_411077) BOUND_VARIABLE_263303)) (ho_5235 BOUND_VARIABLE_411076 BOUND_VARIABLE_263305)))))) (let ((_let_14828 (forall ((BOUND_VARIABLE_263289 tptp.set_int) (BOUND_VARIABLE_411113 |u_(-> Bool Bool)|) (BOUND_VARIABLE_411112 |u_(-> tptp.int Bool)|) (BOUND_VARIABLE_263292 tptp.int)) (= (ho_5218 (ho_5220 (ho_11176 (ho_11175 k_11174 BOUND_VARIABLE_263289) BOUND_VARIABLE_411113) BOUND_VARIABLE_411112) BOUND_VARIABLE_263292) (and (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_263292) BOUND_VARIABLE_263289) (ho_5235 BOUND_VARIABLE_411113 (ho_5218 BOUND_VARIABLE_411112 BOUND_VARIABLE_263292))))))) (let ((_let_14829 (forall ((BOUND_VARIABLE_411140 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263276 tptp.set_o) (BOUND_VARIABLE_411139 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263278 Bool)) (= (ho_5235 (ho_7258 (ho_7257 (ho_8407 k_11177 BOUND_VARIABLE_411140) BOUND_VARIABLE_263276) BOUND_VARIABLE_411139) BOUND_VARIABLE_263278) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263278) (ho_4864 (ho_7255 k_7254 BOUND_VARIABLE_411140) BOUND_VARIABLE_263276)) (ho_5235 BOUND_VARIABLE_411139 BOUND_VARIABLE_263278)))))) (let ((_let_14830 (forall ((BOUND_VARIABLE_263262 tptp.set_o) (BOUND_VARIABLE_411160 |u_(-> Bool Bool)|) (BOUND_VARIABLE_411159 |u_(-> Bool Bool)|) (BOUND_VARIABLE_263265 Bool)) (= (ho_5235 (ho_7258 (ho_10579 (ho_11179 k_11178 BOUND_VARIABLE_263262) BOUND_VARIABLE_411160) BOUND_VARIABLE_411159) BOUND_VARIABLE_263265) (and (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_263265) BOUND_VARIABLE_263262) (ho_5235 BOUND_VARIABLE_411160 (ho_5235 BOUND_VARIABLE_411159 BOUND_VARIABLE_263265))))))) (let ((_let_14831 (forall ((BOUND_VARIABLE_411182 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_411181 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_263255 tptp.int)) (= (ho_4914 (ho_7150 (ho_7149 k_11180 BOUND_VARIABLE_411182) BOUND_VARIABLE_411181) BOUND_VARIABLE_263255) (ho_4925 BOUND_VARIABLE_411182 (ho_4891 BOUND_VARIABLE_411181 BOUND_VARIABLE_263255)))))) (let ((_let_14832 (forall ((BOUND_VARIABLE_411196 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_411195 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_263246 tptp.nat)) (= (ho_4925 (ho_6783 (ho_6782 k_11181 BOUND_VARIABLE_411196) BOUND_VARIABLE_411195) BOUND_VARIABLE_263246) (ho_4925 BOUND_VARIABLE_411196 (ho_4855 BOUND_VARIABLE_411195 BOUND_VARIABLE_263246)))))) (let ((_let_14833 (forall ((BOUND_VARIABLE_411210 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_411209 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_263237 tptp.int)) (= (ho_4891 (ho_6935 (ho_6934 k_11182 BOUND_VARIABLE_411210) BOUND_VARIABLE_411209) BOUND_VARIABLE_263237) (ho_4855 BOUND_VARIABLE_411210 (ho_4891 BOUND_VARIABLE_411209 BOUND_VARIABLE_263237)))))) (let ((_let_14834 (forall ((BOUND_VARIABLE_411224 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_411223 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_263228 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11183 BOUND_VARIABLE_411224) BOUND_VARIABLE_411223) BOUND_VARIABLE_263228) (ho_4855 BOUND_VARIABLE_411224 (ho_4855 BOUND_VARIABLE_411223 BOUND_VARIABLE_263228)))))) (let ((_let_14835 (forall ((BOUND_VARIABLE_411238 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_411237 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_263219 tptp.int)) (= (ho_6617 (ho_11186 (ho_11185 k_11184 BOUND_VARIABLE_411238) BOUND_VARIABLE_411237) BOUND_VARIABLE_263219) (ho_6357 BOUND_VARIABLE_411238 (ho_4891 BOUND_VARIABLE_411237 BOUND_VARIABLE_263219)))))) (let ((_let_14836 (forall ((BOUND_VARIABLE_411260 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_411259 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_263210 tptp.nat)) (= (ho_6357 (ho_6786 (ho_6785 k_11187 BOUND_VARIABLE_411260) BOUND_VARIABLE_411259) BOUND_VARIABLE_263210) (ho_6357 BOUND_VARIABLE_411260 (ho_4855 BOUND_VARIABLE_411259 BOUND_VARIABLE_263210)))))) (let ((_let_14837 (forall ((BOUND_VARIABLE_411274 |u_(-> tptp.int tptp.rat)|) (BOUND_VARIABLE_411273 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_263201 tptp.nat)) (= (ho_6357 (ho_6799 (ho_6798 k_11188 BOUND_VARIABLE_411274) BOUND_VARIABLE_411273) BOUND_VARIABLE_263201) (ho_6617 BOUND_VARIABLE_411274 (ho_4925 BOUND_VARIABLE_411273 BOUND_VARIABLE_263201)))))) (let ((_let_14838 (forall ((BOUND_VARIABLE_411288 |u_(-> tptp.rat tptp.int)|) (BOUND_VARIABLE_411287 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_263192 tptp.nat)) (= (ho_4925 (ho_6803 (ho_6802 k_11189 BOUND_VARIABLE_411288) BOUND_VARIABLE_411287) BOUND_VARIABLE_263192) (ho_6800 BOUND_VARIABLE_411288 (ho_6357 BOUND_VARIABLE_411287 BOUND_VARIABLE_263192)))))) (let ((_let_14839 (forall ((BOUND_VARIABLE_411302 |u_(-> tptp.rat tptp.nat)|) (BOUND_VARIABLE_411301 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_263183 tptp.nat)) (= (ho_4855 (ho_6793 (ho_6792 k_11190 BOUND_VARIABLE_411302) BOUND_VARIABLE_411301) BOUND_VARIABLE_263183) (ho_6790 BOUND_VARIABLE_411302 (ho_6357 BOUND_VARIABLE_411301 BOUND_VARIABLE_263183)))))) (let ((_let_14840 (forall ((BOUND_VARIABLE_411316 |u_(-> tptp.rat tptp.rat)|) (BOUND_VARIABLE_411315 |u_(-> tptp.nat tptp.rat)|) (BOUND_VARIABLE_263174 tptp.nat)) (= (ho_6357 (ho_6807 (ho_6806 k_11191 BOUND_VARIABLE_411316) BOUND_VARIABLE_411315) BOUND_VARIABLE_263174) (ho_6804 BOUND_VARIABLE_411316 (ho_6357 BOUND_VARIABLE_411315 BOUND_VARIABLE_263174)))))) (let ((_let_14841 (forall ((BOUND_VARIABLE_263167 tptp.int)) (= BOUND_VARIABLE_263167 (ho_4914 k_11192 BOUND_VARIABLE_263167))))) (let ((_let_14842 (forall ((BOUND_VARIABLE_263162 tptp.nat)) (= BOUND_VARIABLE_263162 (ho_4855 k_11193 BOUND_VARIABLE_263162))))) (let ((_let_14843 (forall ((BOUND_VARIABLE_263157 tptp.int)) (= BOUND_VARIABLE_263157 (ho_4914 k_11194 BOUND_VARIABLE_263157))))) (let ((_let_14844 (forall ((BOUND_VARIABLE_263152 tptp.nat)) (= BOUND_VARIABLE_263152 (ho_4855 k_11195 BOUND_VARIABLE_263152))))) (let ((_let_14845 (forall ((BOUND_VARIABLE_411348 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_263143 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_11196 BOUND_VARIABLE_411348) BOUND_VARIABLE_263143) (ho_4914 (ho_5432 BOUND_VARIABLE_411348 (ho_5531 k_5530 BOUND_VARIABLE_263143)) (ho_5531 k_5532 BOUND_VARIABLE_263143)))))) (let ((_let_14846 (forall ((BOUND_VARIABLE_411361 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_263133 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11197 BOUND_VARIABLE_411361) BOUND_VARIABLE_263133) (ho_5218 (ho_5250 BOUND_VARIABLE_411361 (ho_5531 k_5530 BOUND_VARIABLE_263133)) (ho_5531 k_5532 BOUND_VARIABLE_263133)))))) (let ((_let_14847 (forall ((BOUND_VARIABLE_411378 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263108 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263109 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)))) (let ((_let_2 (ho_4518 (ho_4517 k_4516 (ho_5369 k_5368 BOUND_VARIABLE_263108)) (ho_5369 _let_1 BOUND_VARIABLE_263108)))) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_411378 (ho_5369 k_5368 _let_2)) (ho_5369 _let_1 _let_2)) BOUND_VARIABLE_263109) (ho_4575 (ho_5379 (ho_10766 k_11198 BOUND_VARIABLE_411378) BOUND_VARIABLE_263108) BOUND_VARIABLE_263109))))))) (let ((_let_14848 (forall ((BOUND_VARIABLE_411394 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263090 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263091 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_411394 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_263090)) (ho_5369 k_5368 BOUND_VARIABLE_263090)) BOUND_VARIABLE_263091) (ho_4575 (ho_5379 (ho_10766 k_11199 BOUND_VARIABLE_411394) BOUND_VARIABLE_263090) BOUND_VARIABLE_263091))))) (let ((_let_14849 (forall ((BOUND_VARIABLE_411414 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_263065 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263066 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)))) (let ((_let_2 (ho_4518 (ho_4517 k_4516 (ho_5369 k_5368 BOUND_VARIABLE_263065)) (ho_5369 _let_1 BOUND_VARIABLE_263065)))) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_411414 (ho_5369 k_5368 _let_2)) (ho_5369 _let_1 _let_2)) BOUND_VARIABLE_263066) (ho_6605 (ho_5421 (ho_10772 k_11200 BOUND_VARIABLE_411414) BOUND_VARIABLE_263065) BOUND_VARIABLE_263066))))))) (let ((_let_14850 (forall ((BOUND_VARIABLE_411430 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_263047 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263048 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_411430 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_263047)) (ho_5369 k_5368 BOUND_VARIABLE_263047)) BOUND_VARIABLE_263048) (ho_6605 (ho_5421 (ho_10772 k_11201 BOUND_VARIABLE_411430) BOUND_VARIABLE_263047) BOUND_VARIABLE_263048))))) (let ((_let_14851 (forall ((BOUND_VARIABLE_411448 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_263026 tptp.nat) (BOUND_VARIABLE_263027 tptp.nat) (BOUND_VARIABLE_263028 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_263026) BOUND_VARIABLE_263027))) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_411448 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) (ho_5369 k_5368 _let_1)) BOUND_VARIABLE_263028) (ho_4575 (ho_4574 (ho_4847 (ho_11203 k_11202 BOUND_VARIABLE_411448) BOUND_VARIABLE_263026) BOUND_VARIABLE_263027) BOUND_VARIABLE_263028)))))) (let ((_let_14852 (forall ((BOUND_VARIABLE_411472 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_263005 tptp.nat) (BOUND_VARIABLE_263006 tptp.nat) (BOUND_VARIABLE_263007 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_263005) BOUND_VARIABLE_263006))) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_411472 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) (ho_5369 k_5368 _let_1)) BOUND_VARIABLE_263007) (ho_6605 (ho_6604 (ho_6601 (ho_11205 k_11204 BOUND_VARIABLE_411472) BOUND_VARIABLE_263005) BOUND_VARIABLE_263006) BOUND_VARIABLE_263007)))))) (let ((_let_14853 (forall ((BOUND_VARIABLE_262986 tptp.set_int) (BOUND_VARIABLE_262987 tptp.product_prod_int_int)) (= (ho_4540 k_4539 (ho_4904 (ho_4903 k_4902 (ho_4901 k_4900 BOUND_VARIABLE_262987)) (ho_4899 (ho_4898 k_4897 k_6606) BOUND_VARIABLE_262986))) (ho_4599 (ho_4924 k_11206 BOUND_VARIABLE_262986) BOUND_VARIABLE_262987))))) (let ((_let_14854 (forall ((BOUND_VARIABLE_262968 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_262969 tptp.produc3843707927480180839at_nat)) (= (ho_4540 k_4539 (ho_4538 (ho_4537 k_4536 (ho_4535 k_4534 BOUND_VARIABLE_262969)) (ho_4533 (ho_4532 k_4531 k_6607) BOUND_VARIABLE_262968))) (ho_4544 (ho_4543 k_11207 BOUND_VARIABLE_262968) BOUND_VARIABLE_262969))))) (let ((_let_14855 (forall ((BOUND_VARIABLE_262959 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6325 k_11208 BOUND_VARIABLE_262959) (ho_6328 (ho_6327 k_6326 (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_262959) BOUND_VARIABLE_262959)) tptp.bot_bo4948859079157340979at_nat))))) (let ((_let_14856 (forall ((BOUND_VARIABLE_262947 Bool) (BOUND_VARIABLE_411528 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_262949 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 (ho_11210 k_11209 BOUND_VARIABLE_262947) BOUND_VARIABLE_411528) BOUND_VARIABLE_262949) (and BOUND_VARIABLE_262947 (ho_5218 (ho_5250 BOUND_VARIABLE_411528 (ho_5531 k_5530 BOUND_VARIABLE_262949)) (ho_5531 k_5532 BOUND_VARIABLE_262949))))))) (let ((_let_14857 (forall ((BOUND_VARIABLE_262935 Bool) (BOUND_VARIABLE_411548 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_262937 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 (ho_11210 k_11211 BOUND_VARIABLE_262935) BOUND_VARIABLE_411548) BOUND_VARIABLE_262937) (and BOUND_VARIABLE_262935 (ho_5218 (ho_5250 BOUND_VARIABLE_411548 (ho_5531 k_5530 BOUND_VARIABLE_262937)) (ho_5531 k_5532 BOUND_VARIABLE_262937))))))) (let ((_let_14858 (forall ((BOUND_VARIABLE_262930 tptp.int)) (= BOUND_VARIABLE_262930 (ho_4914 k_11212 BOUND_VARIABLE_262930))))) (let ((_let_14859 (forall ((BOUND_VARIABLE_262925 tptp.nat)) (= BOUND_VARIABLE_262925 (ho_4855 k_11213 BOUND_VARIABLE_262925))))) (let ((_let_14860 (forall ((BOUND_VARIABLE_411575 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_411574 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262918 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11214 BOUND_VARIABLE_411575) BOUND_VARIABLE_411574) BOUND_VARIABLE_262918) (ho_4855 BOUND_VARIABLE_411575 (ho_4855 BOUND_VARIABLE_411574 BOUND_VARIABLE_262918)))))) (let ((_let_14861 (forall ((BOUND_VARIABLE_411589 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_411588 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262909 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11215 BOUND_VARIABLE_411589) BOUND_VARIABLE_411588) BOUND_VARIABLE_262909) (ho_4855 BOUND_VARIABLE_411589 (ho_4855 BOUND_VARIABLE_411588 BOUND_VARIABLE_262909)))))) (let ((_let_14862 (forall ((BOUND_VARIABLE_262900 tptp.list_nat) (BOUND_VARIABLE_262901 tptp.list_nat)) (= (= BOUND_VARIABLE_262900 BOUND_VARIABLE_262901) (ho_10429 (ho_10428 k_11216 BOUND_VARIABLE_262900) BOUND_VARIABLE_262901))))) (let ((_let_14863 (forall ((BOUND_VARIABLE_411609 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_411608 |u_(-> tptp.list_nat tptp.product_prod_nat_nat)|)) (= (ho_10433 (ho_10432 k_11217 BOUND_VARIABLE_411609) BOUND_VARIABLE_411608) (ho_5240 (ho_4491 k_10440 (ho_10439 (ho_10438 k_10437 BOUND_VARIABLE_411608) (ho_10436 (ho_10435 k_10434 k_6684) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_411609))))))) (let ((_let_14864 (forall ((BOUND_VARIABLE_262881 tptp.int) (BOUND_VARIABLE_262882 tptp.int)) (= (= BOUND_VARIABLE_262881 BOUND_VARIABLE_262882) (ho_5218 (ho_5250 k_11218 BOUND_VARIABLE_262881) BOUND_VARIABLE_262882))))) (let ((_let_14865 (forall ((BOUND_VARIABLE_411629 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_411632 |u_(-> tptp.int tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10445 (ho_10444 k_10443 BOUND_VARIABLE_411632) tptp.top_top_set_int)) (ho_4601 k_4600 (ho_6245 k_6608 BOUND_VARIABLE_411629))) (ho_10450 (ho_10449 k_11219 BOUND_VARIABLE_411629) BOUND_VARIABLE_411632))))) (let ((_let_14866 (forall ((BOUND_VARIABLE_262849 tptp.nat) (BOUND_VARIABLE_262850 tptp.nat)) (= (= BOUND_VARIABLE_262849 BOUND_VARIABLE_262850) (ho_4593 (ho_4511 k_11220 BOUND_VARIABLE_262849) BOUND_VARIABLE_262850))))) (let ((_let_14867 (forall ((BOUND_VARIABLE_411652 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_411655 |u_(-> tptp.nat tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10455 (ho_10454 k_10453 BOUND_VARIABLE_411655) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) (ho_4601 k_4600 (ho_6245 k_6609 BOUND_VARIABLE_411652))) (ho_10458 (ho_10457 k_11221 BOUND_VARIABLE_411652) BOUND_VARIABLE_411655))))) (let ((_let_14868 (forall ((BOUND_VARIABLE_262817 tptp.rat) (BOUND_VARIABLE_262818 tptp.rat)) (= (= BOUND_VARIABLE_262817 BOUND_VARIABLE_262818) (ho_7184 (ho_10461 k_11222 BOUND_VARIABLE_262817) BOUND_VARIABLE_262818))))) (let ((_let_14869 (forall ((BOUND_VARIABLE_411675 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_411678 |u_(-> tptp.rat tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10465 (ho_10464 k_10463 BOUND_VARIABLE_411678) (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4601 k_4600 (ho_6245 k_6610 BOUND_VARIABLE_411675))) (ho_10468 (ho_10467 k_11223 BOUND_VARIABLE_411675) BOUND_VARIABLE_411678))))) (let ((_let_14870 (forall ((BOUND_VARIABLE_262783 tptp.char) (BOUND_VARIABLE_262784 tptp.char)) (= (= BOUND_VARIABLE_262783 BOUND_VARIABLE_262784) (ho_7226 (ho_10471 k_11224 BOUND_VARIABLE_262783) BOUND_VARIABLE_262784))))) (let ((_let_14871 (forall ((BOUND_VARIABLE_411698 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_411701 |u_(-> tptp.char tptp.product_prod_int_int)|)) (= (ho_5251 (ho_10447 k_10446 (ho_10479 (ho_10478 k_10477 BOUND_VARIABLE_411701) (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))))) (ho_4601 k_4600 (ho_6245 k_6611 BOUND_VARIABLE_411698))) (ho_10482 (ho_10481 k_11225 BOUND_VARIABLE_411698) BOUND_VARIABLE_411701))))) (let ((_let_14872 (forall ((BOUND_VARIABLE_411717 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_411716 |u_(-> tptp.int tptp.product_prod_num_num)|)) (= (ho_10487 (ho_10486 k_11226 BOUND_VARIABLE_411717) BOUND_VARIABLE_411716) (ho_10497 (ho_10496 k_10495 (ho_10494 (ho_10493 k_10492 BOUND_VARIABLE_411716) tptp.top_top_set_int)) (ho_10491 k_10490 (ho_10489 k_10488 BOUND_VARIABLE_411717))))))) (let ((_let_14873 (forall ((BOUND_VARIABLE_262739 tptp.int) (BOUND_VARIABLE_262740 tptp.int)) (= (= BOUND_VARIABLE_262739 BOUND_VARIABLE_262740) (ho_5218 (ho_5250 k_11227 BOUND_VARIABLE_262739) BOUND_VARIABLE_262740))))) (let ((_let_14874 (forall ((BOUND_VARIABLE_262732 tptp.int) (BOUND_VARIABLE_262733 tptp.int)) (= (= BOUND_VARIABLE_262732 BOUND_VARIABLE_262733) (ho_5218 (ho_5250 k_11228 BOUND_VARIABLE_262732) BOUND_VARIABLE_262733))))) (let ((_let_14875 (forall ((BOUND_VARIABLE_411747 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_411746 |u_(-> tptp.int tptp.product_prod_nat_nat)|)) (= (ho_10503 (ho_10502 k_11229 BOUND_VARIABLE_411747) BOUND_VARIABLE_411746) (ho_5240 (ho_4491 k_10440 (ho_10506 (ho_10505 k_10504 BOUND_VARIABLE_411746) tptp.top_top_set_int)) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_411747))))))) (let ((_let_14876 (forall ((BOUND_VARIABLE_262713 tptp.nat) (BOUND_VARIABLE_262714 tptp.nat)) (= (= BOUND_VARIABLE_262713 BOUND_VARIABLE_262714) (ho_4593 (ho_4511 k_11230 BOUND_VARIABLE_262713) BOUND_VARIABLE_262714))))) (let ((_let_14877 (forall ((BOUND_VARIABLE_411770 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_411769 |u_(-> tptp.nat tptp.product_prod_nat_nat)|)) (= (ho_10511 (ho_10510 k_11231 BOUND_VARIABLE_411770) BOUND_VARIABLE_411769) (ho_5240 (ho_4491 k_10440 (ho_6412 (ho_10513 k_10512 BOUND_VARIABLE_411769) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_411770))))))) (let ((_let_14878 (forall ((BOUND_VARIABLE_262694 tptp.rat) (BOUND_VARIABLE_262695 tptp.rat)) (= (= BOUND_VARIABLE_262694 BOUND_VARIABLE_262695) (ho_7184 (ho_10461 k_11232 BOUND_VARIABLE_262694) BOUND_VARIABLE_262695))))) (let ((_let_14879 (forall ((BOUND_VARIABLE_411790 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_411793 |u_(-> tptp.rat tptp.product_prod_nat_nat)|)) (= (ho_5240 (ho_4491 k_10440 (ho_10519 (ho_10518 k_10517 BOUND_VARIABLE_411793) (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_411790))) (ho_10522 (ho_10521 k_11233 BOUND_VARIABLE_411790) BOUND_VARIABLE_411793))))) (let ((_let_14880 (forall ((BOUND_VARIABLE_262670 tptp.char) (BOUND_VARIABLE_262671 tptp.char)) (= (= BOUND_VARIABLE_262670 BOUND_VARIABLE_262671) (ho_7226 (ho_10471 k_11234 BOUND_VARIABLE_262670) BOUND_VARIABLE_262671))))) (let ((_let_14881 (forall ((BOUND_VARIABLE_411816 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_411815 |u_(-> tptp.char tptp.product_prod_nat_nat)|)) (= (ho_10528 (ho_10527 k_11235 BOUND_VARIABLE_411816) BOUND_VARIABLE_411815) (ho_5240 (ho_4491 k_10440 (ho_10531 (ho_10530 k_10529 BOUND_VARIABLE_411815) (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))))) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_411816))))))) (let ((_let_14882 (forall ((BOUND_VARIABLE_411834 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_411833 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262649 tptp.code_integer) (BOUND_VARIABLE_262650 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11236 BOUND_VARIABLE_411834) BOUND_VARIABLE_411833) BOUND_VARIABLE_262649) BOUND_VARIABLE_262650) (ho_5405 (ho_5413 BOUND_VARIABLE_411834 (ho_5398 BOUND_VARIABLE_411833 BOUND_VARIABLE_262649)) BOUND_VARIABLE_262650))))) (let ((_let_14883 (forall ((BOUND_VARIABLE_411851 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_411850 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262638 tptp.code_integer) (BOUND_VARIABLE_262639 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11237 BOUND_VARIABLE_411851) BOUND_VARIABLE_411850) BOUND_VARIABLE_262638) BOUND_VARIABLE_262639) (ho_5405 (ho_5413 BOUND_VARIABLE_411851 (ho_5398 BOUND_VARIABLE_411850 BOUND_VARIABLE_262638)) BOUND_VARIABLE_262639))))) (let ((_let_14884 (forall ((BOUND_VARIABLE_411868 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_411867 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262627 tptp.code_integer) (BOUND_VARIABLE_262628 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11238 BOUND_VARIABLE_411868) BOUND_VARIABLE_411867) BOUND_VARIABLE_262627) BOUND_VARIABLE_262628) (ho_5405 (ho_5413 BOUND_VARIABLE_411868 (ho_5398 BOUND_VARIABLE_411867 BOUND_VARIABLE_262627)) BOUND_VARIABLE_262628))))) (let ((_let_14885 (forall ((BOUND_VARIABLE_411885 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_411884 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262616 tptp.code_integer) (BOUND_VARIABLE_262617 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11239 BOUND_VARIABLE_411885) BOUND_VARIABLE_411884) BOUND_VARIABLE_262616) BOUND_VARIABLE_262617) (ho_5405 (ho_5413 BOUND_VARIABLE_411885 (ho_5398 BOUND_VARIABLE_411884 BOUND_VARIABLE_262616)) BOUND_VARIABLE_262617))))) (let ((_let_14886 (forall ((BOUND_VARIABLE_411901 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_411900 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_262607 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11240 BOUND_VARIABLE_411901) BOUND_VARIABLE_411900) BOUND_VARIABLE_262607) (ho_4891 BOUND_VARIABLE_411901 (ho_4914 BOUND_VARIABLE_411900 BOUND_VARIABLE_262607)))))) (let ((_let_14887 (forall ((BOUND_VARIABLE_411915 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_411914 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_262598 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11241 BOUND_VARIABLE_411915) BOUND_VARIABLE_411914) BOUND_VARIABLE_262598) (ho_4891 BOUND_VARIABLE_411915 (ho_4914 BOUND_VARIABLE_411914 BOUND_VARIABLE_262598)))))) (let ((_let_14888 (forall ((BOUND_VARIABLE_411929 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_411928 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_262589 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11242 BOUND_VARIABLE_411929) BOUND_VARIABLE_411928) BOUND_VARIABLE_262589) (ho_6671 BOUND_VARIABLE_411929 (ho_4891 BOUND_VARIABLE_411928 BOUND_VARIABLE_262589)))))) (let ((_let_14889 (forall ((BOUND_VARIABLE_411943 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_411942 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_262580 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11243 BOUND_VARIABLE_411943) BOUND_VARIABLE_411942) BOUND_VARIABLE_262580) (ho_6671 BOUND_VARIABLE_411943 (ho_4891 BOUND_VARIABLE_411942 BOUND_VARIABLE_262580)))))) (let ((_let_14890 (forall ((BOUND_VARIABLE_411957 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_411956 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262571 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11244 BOUND_VARIABLE_411957) BOUND_VARIABLE_411956) BOUND_VARIABLE_262571) (ho_4855 BOUND_VARIABLE_411957 (ho_4855 BOUND_VARIABLE_411956 BOUND_VARIABLE_262571)))))) (let ((_let_14891 (forall ((BOUND_VARIABLE_411971 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_411970 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262562 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11245 BOUND_VARIABLE_411971) BOUND_VARIABLE_411970) BOUND_VARIABLE_262562) (ho_4855 BOUND_VARIABLE_411971 (ho_4855 BOUND_VARIABLE_411970 BOUND_VARIABLE_262562)))))) (let ((_let_14892 (forall ((BOUND_VARIABLE_411985 |u_(-> Bool Bool)|) (BOUND_VARIABLE_411984 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_262553 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11246 BOUND_VARIABLE_411985) BOUND_VARIABLE_411984) BOUND_VARIABLE_262553) (ho_5235 BOUND_VARIABLE_411985 (ho_4593 BOUND_VARIABLE_411984 BOUND_VARIABLE_262553)))))) (let ((_let_14893 (forall ((BOUND_VARIABLE_411999 |u_(-> Bool Bool)|) (BOUND_VARIABLE_411998 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_262544 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11247 BOUND_VARIABLE_411999) BOUND_VARIABLE_411998) BOUND_VARIABLE_262544) (ho_5235 BOUND_VARIABLE_411999 (ho_4593 BOUND_VARIABLE_411998 BOUND_VARIABLE_262544)))))) (let ((_let_14894 (forall ((BOUND_VARIABLE_412014 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412013 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262533 tptp.code_integer) (BOUND_VARIABLE_262534 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11248 BOUND_VARIABLE_412014) BOUND_VARIABLE_412013) BOUND_VARIABLE_262533) BOUND_VARIABLE_262534) (ho_5405 (ho_5413 BOUND_VARIABLE_412014 (ho_5398 BOUND_VARIABLE_412013 BOUND_VARIABLE_262533)) BOUND_VARIABLE_262534))))) (let ((_let_14895 (forall ((BOUND_VARIABLE_412031 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412030 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262522 tptp.code_integer) (BOUND_VARIABLE_262523 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11249 BOUND_VARIABLE_412031) BOUND_VARIABLE_412030) BOUND_VARIABLE_262522) BOUND_VARIABLE_262523) (ho_5405 (ho_5413 BOUND_VARIABLE_412031 (ho_5398 BOUND_VARIABLE_412030 BOUND_VARIABLE_262522)) BOUND_VARIABLE_262523))))) (let ((_let_14896 (forall ((BOUND_VARIABLE_412047 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_412046 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_262513 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11250 BOUND_VARIABLE_412047) BOUND_VARIABLE_412046) BOUND_VARIABLE_262513) (ho_4891 BOUND_VARIABLE_412047 (ho_4914 BOUND_VARIABLE_412046 BOUND_VARIABLE_262513)))))) (let ((_let_14897 (forall ((BOUND_VARIABLE_412061 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_412060 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_262504 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11251 BOUND_VARIABLE_412061) BOUND_VARIABLE_412060) BOUND_VARIABLE_262504) (ho_4891 BOUND_VARIABLE_412061 (ho_4914 BOUND_VARIABLE_412060 BOUND_VARIABLE_262504)))))) (let ((_let_14898 (forall ((BOUND_VARIABLE_412075 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_412074 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_262495 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11252 BOUND_VARIABLE_412075) BOUND_VARIABLE_412074) BOUND_VARIABLE_262495) (ho_6671 BOUND_VARIABLE_412075 (ho_4891 BOUND_VARIABLE_412074 BOUND_VARIABLE_262495)))))) (let ((_let_14899 (forall ((BOUND_VARIABLE_412089 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_412088 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_262486 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11253 BOUND_VARIABLE_412089) BOUND_VARIABLE_412088) BOUND_VARIABLE_262486) (ho_6671 BOUND_VARIABLE_412089 (ho_4891 BOUND_VARIABLE_412088 BOUND_VARIABLE_262486)))))) (let ((_let_14900 (forall ((BOUND_VARIABLE_412103 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_412102 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262477 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11254 BOUND_VARIABLE_412103) BOUND_VARIABLE_412102) BOUND_VARIABLE_262477) (ho_4855 BOUND_VARIABLE_412103 (ho_4855 BOUND_VARIABLE_412102 BOUND_VARIABLE_262477)))))) (let ((_let_14901 (forall ((BOUND_VARIABLE_412117 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_412116 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262468 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11255 BOUND_VARIABLE_412117) BOUND_VARIABLE_412116) BOUND_VARIABLE_262468) (ho_4855 BOUND_VARIABLE_412117 (ho_4855 BOUND_VARIABLE_412116 BOUND_VARIABLE_262468)))))) (let ((_let_14902 (forall ((BOUND_VARIABLE_412131 |u_(-> Bool Bool)|) (BOUND_VARIABLE_412130 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_262459 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11256 BOUND_VARIABLE_412131) BOUND_VARIABLE_412130) BOUND_VARIABLE_262459) (ho_5235 BOUND_VARIABLE_412131 (ho_4593 BOUND_VARIABLE_412130 BOUND_VARIABLE_262459)))))) (let ((_let_14903 (forall ((BOUND_VARIABLE_412145 |u_(-> Bool Bool)|) (BOUND_VARIABLE_412144 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_262450 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11257 BOUND_VARIABLE_412145) BOUND_VARIABLE_412144) BOUND_VARIABLE_262450) (ho_5235 BOUND_VARIABLE_412145 (ho_4593 BOUND_VARIABLE_412144 BOUND_VARIABLE_262450)))))) (let ((_let_14904 (forall ((BOUND_VARIABLE_412160 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412159 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262439 tptp.code_integer) (BOUND_VARIABLE_262440 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11258 BOUND_VARIABLE_412160) BOUND_VARIABLE_412159) BOUND_VARIABLE_262439) BOUND_VARIABLE_262440) (ho_5405 (ho_5413 BOUND_VARIABLE_412160 (ho_5398 BOUND_VARIABLE_412159 BOUND_VARIABLE_262439)) BOUND_VARIABLE_262440))))) (let ((_let_14905 (forall ((BOUND_VARIABLE_412177 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412176 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262428 tptp.code_integer) (BOUND_VARIABLE_262429 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11259 BOUND_VARIABLE_412177) BOUND_VARIABLE_412176) BOUND_VARIABLE_262428) BOUND_VARIABLE_262429) (ho_5405 (ho_5413 BOUND_VARIABLE_412177 (ho_5398 BOUND_VARIABLE_412176 BOUND_VARIABLE_262428)) BOUND_VARIABLE_262429))))) (let ((_let_14906 (forall ((BOUND_VARIABLE_412193 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_412192 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_262419 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11260 BOUND_VARIABLE_412193) BOUND_VARIABLE_412192) BOUND_VARIABLE_262419) (ho_4891 BOUND_VARIABLE_412193 (ho_4914 BOUND_VARIABLE_412192 BOUND_VARIABLE_262419)))))) (let ((_let_14907 (forall ((BOUND_VARIABLE_412207 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_412206 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_262410 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11261 BOUND_VARIABLE_412207) BOUND_VARIABLE_412206) BOUND_VARIABLE_262410) (ho_4891 BOUND_VARIABLE_412207 (ho_4914 BOUND_VARIABLE_412206 BOUND_VARIABLE_262410)))))) (let ((_let_14908 (forall ((BOUND_VARIABLE_412221 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_412220 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_262401 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11262 BOUND_VARIABLE_412221) BOUND_VARIABLE_412220) BOUND_VARIABLE_262401) (ho_6671 BOUND_VARIABLE_412221 (ho_4891 BOUND_VARIABLE_412220 BOUND_VARIABLE_262401)))))) (let ((_let_14909 (forall ((BOUND_VARIABLE_412235 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_412234 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_262392 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11263 BOUND_VARIABLE_412235) BOUND_VARIABLE_412234) BOUND_VARIABLE_262392) (ho_6671 BOUND_VARIABLE_412235 (ho_4891 BOUND_VARIABLE_412234 BOUND_VARIABLE_262392)))))) (let ((_let_14910 (forall ((BOUND_VARIABLE_412249 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_412248 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262383 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11264 BOUND_VARIABLE_412249) BOUND_VARIABLE_412248) BOUND_VARIABLE_262383) (ho_4855 BOUND_VARIABLE_412249 (ho_4855 BOUND_VARIABLE_412248 BOUND_VARIABLE_262383)))))) (let ((_let_14911 (forall ((BOUND_VARIABLE_412263 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_412262 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_262374 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11265 BOUND_VARIABLE_412263) BOUND_VARIABLE_412262) BOUND_VARIABLE_262374) (ho_4855 BOUND_VARIABLE_412263 (ho_4855 BOUND_VARIABLE_412262 BOUND_VARIABLE_262374)))))) (let ((_let_14912 (forall ((BOUND_VARIABLE_412277 |u_(-> Bool Bool)|) (BOUND_VARIABLE_412276 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_262365 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11266 BOUND_VARIABLE_412277) BOUND_VARIABLE_412276) BOUND_VARIABLE_262365) (ho_5235 BOUND_VARIABLE_412277 (ho_4593 BOUND_VARIABLE_412276 BOUND_VARIABLE_262365)))))) (let ((_let_14913 (forall ((BOUND_VARIABLE_412291 |u_(-> Bool Bool)|) (BOUND_VARIABLE_412290 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_262356 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11267 BOUND_VARIABLE_412291) BOUND_VARIABLE_412290) BOUND_VARIABLE_262356) (ho_5235 BOUND_VARIABLE_412291 (ho_4593 BOUND_VARIABLE_412290 BOUND_VARIABLE_262356)))))) (let ((_let_14914 (forall ((BOUND_VARIABLE_412306 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412305 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262345 tptp.code_integer) (BOUND_VARIABLE_262346 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11268 BOUND_VARIABLE_412306) BOUND_VARIABLE_412305) BOUND_VARIABLE_262345) BOUND_VARIABLE_262346) (ho_5405 (ho_5413 BOUND_VARIABLE_412306 (ho_5398 BOUND_VARIABLE_412305 BOUND_VARIABLE_262345)) BOUND_VARIABLE_262346))))) (let ((_let_14915 (forall ((BOUND_VARIABLE_412323 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412322 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_262334 tptp.code_integer) (BOUND_VARIABLE_262335 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11269 BOUND_VARIABLE_412323) BOUND_VARIABLE_412322) BOUND_VARIABLE_262334) BOUND_VARIABLE_262335) (ho_5405 (ho_5413 BOUND_VARIABLE_412323 (ho_5398 BOUND_VARIABLE_412322 BOUND_VARIABLE_262334)) BOUND_VARIABLE_262335))))) (let ((_let_14916 (forall ((BOUND_VARIABLE_262325 tptp.nat) (BOUND_VARIABLE_262326 tptp.nat)) (= (= BOUND_VARIABLE_262325 BOUND_VARIABLE_262326) (ho_4593 (ho_4511 k_11270 BOUND_VARIABLE_262325) BOUND_VARIABLE_262326))))) (let ((_let_14917 (forall ((BOUND_VARIABLE_262318 tptp.nat) (BOUND_VARIABLE_262319 tptp.nat)) (= (= BOUND_VARIABLE_262318 BOUND_VARIABLE_262319) (ho_4593 (ho_4511 k_11271 BOUND_VARIABLE_262318) BOUND_VARIABLE_262319))))) (let ((_let_14918 (forall ((BOUND_VARIABLE_262311 tptp.nat) (BOUND_VARIABLE_262312 tptp.nat)) (= (= BOUND_VARIABLE_262311 BOUND_VARIABLE_262312) (ho_4593 (ho_4511 k_11272 BOUND_VARIABLE_262311) BOUND_VARIABLE_262312))))) (let ((_let_14919 (forall ((BOUND_VARIABLE_262304 tptp.nat) (BOUND_VARIABLE_262305 tptp.nat)) (= (= BOUND_VARIABLE_262304 BOUND_VARIABLE_262305) (ho_4593 (ho_4511 k_11273 BOUND_VARIABLE_262304) BOUND_VARIABLE_262305))))) (let ((_let_14920 (forall ((BOUND_VARIABLE_262297 tptp.rat) (BOUND_VARIABLE_262298 tptp.rat)) (= (= BOUND_VARIABLE_262297 BOUND_VARIABLE_262298) (ho_7184 (ho_10461 k_11274 BOUND_VARIABLE_262297) BOUND_VARIABLE_262298))))) (let ((_let_14921 (forall ((BOUND_VARIABLE_262290 tptp.rat) (BOUND_VARIABLE_262291 tptp.rat)) (= (= BOUND_VARIABLE_262290 BOUND_VARIABLE_262291) (ho_7184 (ho_10461 k_11275 BOUND_VARIABLE_262290) BOUND_VARIABLE_262291))))) (let ((_let_14922 (forall ((BOUND_VARIABLE_262283 tptp.rat) (BOUND_VARIABLE_262284 tptp.rat)) (= (= BOUND_VARIABLE_262283 BOUND_VARIABLE_262284) (ho_7184 (ho_10461 k_11276 BOUND_VARIABLE_262283) BOUND_VARIABLE_262284))))) (let ((_let_14923 (forall ((BOUND_VARIABLE_262276 tptp.char) (BOUND_VARIABLE_262277 tptp.char)) (= (= BOUND_VARIABLE_262276 BOUND_VARIABLE_262277) (ho_7226 (ho_10471 k_11277 BOUND_VARIABLE_262276) BOUND_VARIABLE_262277))))) (let ((_let_14924 (forall ((BOUND_VARIABLE_262269 tptp.char) (BOUND_VARIABLE_262270 tptp.char)) (= (= BOUND_VARIABLE_262269 BOUND_VARIABLE_262270) (ho_7226 (ho_10471 k_11278 BOUND_VARIABLE_262269) BOUND_VARIABLE_262270))))) (let ((_let_14925 (forall ((BOUND_VARIABLE_262262 tptp.char) (BOUND_VARIABLE_262263 tptp.char)) (= (= BOUND_VARIABLE_262262 BOUND_VARIABLE_262263) (ho_7226 (ho_10471 k_11279 BOUND_VARIABLE_262262) BOUND_VARIABLE_262263))))) (let ((_let_14926 (forall ((BOUND_VARIABLE_262255 tptp.rat) (BOUND_VARIABLE_262256 tptp.rat)) (= (= BOUND_VARIABLE_262255 BOUND_VARIABLE_262256) (ho_7184 (ho_10461 k_11280 BOUND_VARIABLE_262255) BOUND_VARIABLE_262256))))) (let ((_let_14927 (forall ((BOUND_VARIABLE_262248 tptp.rat) (BOUND_VARIABLE_262249 tptp.rat)) (= (= BOUND_VARIABLE_262248 BOUND_VARIABLE_262249) (ho_7184 (ho_10461 k_11281 BOUND_VARIABLE_262248) BOUND_VARIABLE_262249))))) (let ((_let_14928 (forall ((BOUND_VARIABLE_262241 tptp.char) (BOUND_VARIABLE_262242 tptp.char)) (= (= BOUND_VARIABLE_262241 BOUND_VARIABLE_262242) (ho_7226 (ho_10471 k_11282 BOUND_VARIABLE_262241) BOUND_VARIABLE_262242))))) (let ((_let_14929 (forall ((BOUND_VARIABLE_262234 tptp.char) (BOUND_VARIABLE_262235 tptp.char)) (= (= BOUND_VARIABLE_262234 BOUND_VARIABLE_262235) (ho_7226 (ho_10471 k_11283 BOUND_VARIABLE_262234) BOUND_VARIABLE_262235))))) (let ((_let_14930 (forall ((BOUND_VARIABLE_262227 tptp.char) (BOUND_VARIABLE_262228 tptp.char)) (= (= BOUND_VARIABLE_262227 BOUND_VARIABLE_262228) (ho_7226 (ho_10471 k_11284 BOUND_VARIABLE_262227) BOUND_VARIABLE_262228))))) (let ((_let_14931 (forall ((BOUND_VARIABLE_262220 tptp.char) (BOUND_VARIABLE_262221 tptp.char)) (= (= BOUND_VARIABLE_262220 BOUND_VARIABLE_262221) (ho_7226 (ho_10471 k_11285 BOUND_VARIABLE_262220) BOUND_VARIABLE_262221))))) (let ((_let_14932 (forall ((BOUND_VARIABLE_262213 tptp.char) (BOUND_VARIABLE_262214 tptp.char)) (= (= BOUND_VARIABLE_262213 BOUND_VARIABLE_262214) (ho_7226 (ho_10471 k_11286 BOUND_VARIABLE_262213) BOUND_VARIABLE_262214))))) (let ((_let_14933 (forall ((BOUND_VARIABLE_262206 tptp.char) (BOUND_VARIABLE_262207 tptp.char)) (= (= BOUND_VARIABLE_262206 BOUND_VARIABLE_262207) (ho_7226 (ho_10471 k_11287 BOUND_VARIABLE_262206) BOUND_VARIABLE_262207))))) (let ((_let_14934 (forall ((BOUND_VARIABLE_262199 tptp.char) (BOUND_VARIABLE_262200 tptp.char)) (= (= BOUND_VARIABLE_262199 BOUND_VARIABLE_262200) (ho_7226 (ho_10471 k_11288 BOUND_VARIABLE_262199) BOUND_VARIABLE_262200))))) (let ((_let_14935 (forall ((BOUND_VARIABLE_262192 tptp.char) (BOUND_VARIABLE_262193 tptp.char)) (= (= BOUND_VARIABLE_262192 BOUND_VARIABLE_262193) (ho_7226 (ho_10471 k_11289 BOUND_VARIABLE_262192) BOUND_VARIABLE_262193))))) (let ((_let_14936 (forall ((BOUND_VARIABLE_262185 tptp.char) (BOUND_VARIABLE_262186 tptp.char)) (= (= BOUND_VARIABLE_262185 BOUND_VARIABLE_262186) (ho_7226 (ho_10471 k_11290 BOUND_VARIABLE_262185) BOUND_VARIABLE_262186))))) (let ((_let_14937 (forall ((BOUND_VARIABLE_262178 tptp.char) (BOUND_VARIABLE_262179 tptp.char)) (= (= BOUND_VARIABLE_262178 BOUND_VARIABLE_262179) (ho_7226 (ho_10471 k_11291 BOUND_VARIABLE_262178) BOUND_VARIABLE_262179))))) (let ((_let_14938 (forall ((BOUND_VARIABLE_262171 tptp.char) (BOUND_VARIABLE_262172 tptp.char)) (= (= BOUND_VARIABLE_262171 BOUND_VARIABLE_262172) (ho_7226 (ho_10471 k_11292 BOUND_VARIABLE_262171) BOUND_VARIABLE_262172))))) (let ((_let_14939 (forall ((BOUND_VARIABLE_262164 tptp.char) (BOUND_VARIABLE_262165 tptp.char)) (= (= BOUND_VARIABLE_262164 BOUND_VARIABLE_262165) (ho_7226 (ho_10471 k_11293 BOUND_VARIABLE_262164) BOUND_VARIABLE_262165))))) (let ((_let_14940 (forall ((BOUND_VARIABLE_262157 tptp.char) (BOUND_VARIABLE_262158 tptp.char)) (= (= BOUND_VARIABLE_262157 BOUND_VARIABLE_262158) (ho_7226 (ho_10471 k_11294 BOUND_VARIABLE_262157) BOUND_VARIABLE_262158))))) (let ((_let_14941 (forall ((BOUND_VARIABLE_262150 tptp.char) (BOUND_VARIABLE_262151 tptp.char)) (= (= BOUND_VARIABLE_262150 BOUND_VARIABLE_262151) (ho_7226 (ho_10471 k_11295 BOUND_VARIABLE_262150) BOUND_VARIABLE_262151))))) (let ((_let_14942 (forall ((BOUND_VARIABLE_262143 tptp.char) (BOUND_VARIABLE_262144 tptp.char)) (= (= BOUND_VARIABLE_262143 BOUND_VARIABLE_262144) (ho_7226 (ho_10471 k_11296 BOUND_VARIABLE_262143) BOUND_VARIABLE_262144))))) (let ((_let_14943 (forall ((BOUND_VARIABLE_262136 tptp.char) (BOUND_VARIABLE_262137 tptp.char)) (= (= BOUND_VARIABLE_262136 BOUND_VARIABLE_262137) (ho_7226 (ho_10471 k_11297 BOUND_VARIABLE_262136) BOUND_VARIABLE_262137))))) (let ((_let_14944 (forall ((BOUND_VARIABLE_262129 tptp.char) (BOUND_VARIABLE_262130 tptp.char)) (= (= BOUND_VARIABLE_262129 BOUND_VARIABLE_262130) (ho_7226 (ho_10471 k_11298 BOUND_VARIABLE_262129) BOUND_VARIABLE_262130))))) (let ((_let_14945 (forall ((BOUND_VARIABLE_262122 tptp.char) (BOUND_VARIABLE_262123 tptp.char)) (= (= BOUND_VARIABLE_262122 BOUND_VARIABLE_262123) (ho_7226 (ho_10471 k_11299 BOUND_VARIABLE_262122) BOUND_VARIABLE_262123))))) (let ((_let_14946 (forall ((BOUND_VARIABLE_262115 tptp.rat) (BOUND_VARIABLE_262116 tptp.rat)) (= (= BOUND_VARIABLE_262115 BOUND_VARIABLE_262116) (ho_7184 (ho_10461 k_11300 BOUND_VARIABLE_262115) BOUND_VARIABLE_262116))))) (let ((_let_14947 (forall ((BOUND_VARIABLE_262108 tptp.rat) (BOUND_VARIABLE_262109 tptp.rat)) (= (= BOUND_VARIABLE_262108 BOUND_VARIABLE_262109) (ho_7184 (ho_10461 k_11301 BOUND_VARIABLE_262108) BOUND_VARIABLE_262109))))) (let ((_let_14948 (forall ((BOUND_VARIABLE_262101 tptp.char) (BOUND_VARIABLE_262102 tptp.char)) (= (= BOUND_VARIABLE_262101 BOUND_VARIABLE_262102) (ho_7226 (ho_10471 k_11302 BOUND_VARIABLE_262101) BOUND_VARIABLE_262102))))) (let ((_let_14949 (forall ((BOUND_VARIABLE_262094 tptp.char) (BOUND_VARIABLE_262095 tptp.char)) (= (= BOUND_VARIABLE_262094 BOUND_VARIABLE_262095) (ho_7226 (ho_10471 k_11303 BOUND_VARIABLE_262094) BOUND_VARIABLE_262095))))) (let ((_let_14950 (forall ((BOUND_VARIABLE_262087 tptp.char) (BOUND_VARIABLE_262088 tptp.char)) (= (= BOUND_VARIABLE_262087 BOUND_VARIABLE_262088) (ho_7226 (ho_10471 k_11304 BOUND_VARIABLE_262087) BOUND_VARIABLE_262088))))) (let ((_let_14951 (forall ((BOUND_VARIABLE_262080 tptp.char) (BOUND_VARIABLE_262081 tptp.char)) (= (= BOUND_VARIABLE_262080 BOUND_VARIABLE_262081) (ho_7226 (ho_10471 k_11305 BOUND_VARIABLE_262080) BOUND_VARIABLE_262081))))) (let ((_let_14952 (forall ((BOUND_VARIABLE_262073 tptp.char) (BOUND_VARIABLE_262074 tptp.char)) (= (= BOUND_VARIABLE_262073 BOUND_VARIABLE_262074) (ho_7226 (ho_10471 k_11306 BOUND_VARIABLE_262073) BOUND_VARIABLE_262074))))) (let ((_let_14953 (forall ((BOUND_VARIABLE_262066 tptp.char) (BOUND_VARIABLE_262067 tptp.char)) (= (= BOUND_VARIABLE_262066 BOUND_VARIABLE_262067) (ho_7226 (ho_10471 k_11307 BOUND_VARIABLE_262066) BOUND_VARIABLE_262067))))) (let ((_let_14954 (forall ((BOUND_VARIABLE_262059 tptp.char) (BOUND_VARIABLE_262060 tptp.char)) (= (= BOUND_VARIABLE_262059 BOUND_VARIABLE_262060) (ho_7226 (ho_10471 k_11308 BOUND_VARIABLE_262059) BOUND_VARIABLE_262060))))) (let ((_let_14955 (forall ((BOUND_VARIABLE_262052 tptp.char) (BOUND_VARIABLE_262053 tptp.char)) (= (= BOUND_VARIABLE_262052 BOUND_VARIABLE_262053) (ho_7226 (ho_10471 k_11309 BOUND_VARIABLE_262052) BOUND_VARIABLE_262053))))) (let ((_let_14956 (forall ((BOUND_VARIABLE_262045 tptp.char) (BOUND_VARIABLE_262046 tptp.char)) (= (= BOUND_VARIABLE_262045 BOUND_VARIABLE_262046) (ho_7226 (ho_10471 k_11310 BOUND_VARIABLE_262045) BOUND_VARIABLE_262046))))) (let ((_let_14957 (forall ((BOUND_VARIABLE_262038 tptp.char) (BOUND_VARIABLE_262039 tptp.char)) (= (= BOUND_VARIABLE_262038 BOUND_VARIABLE_262039) (ho_7226 (ho_10471 k_11311 BOUND_VARIABLE_262038) BOUND_VARIABLE_262039))))) (let ((_let_14958 (forall ((BOUND_VARIABLE_262031 tptp.char) (BOUND_VARIABLE_262032 tptp.char)) (= (= BOUND_VARIABLE_262031 BOUND_VARIABLE_262032) (ho_7226 (ho_10471 k_11312 BOUND_VARIABLE_262031) BOUND_VARIABLE_262032))))) (let ((_let_14959 (forall ((BOUND_VARIABLE_262024 tptp.char) (BOUND_VARIABLE_262025 tptp.char)) (= (= BOUND_VARIABLE_262024 BOUND_VARIABLE_262025) (ho_7226 (ho_10471 k_11313 BOUND_VARIABLE_262024) BOUND_VARIABLE_262025))))) (let ((_let_14960 (forall ((BOUND_VARIABLE_262017 tptp.char) (BOUND_VARIABLE_262018 tptp.char)) (= (= BOUND_VARIABLE_262017 BOUND_VARIABLE_262018) (ho_7226 (ho_10471 k_11314 BOUND_VARIABLE_262017) BOUND_VARIABLE_262018))))) (let ((_let_14961 (forall ((BOUND_VARIABLE_262010 tptp.char) (BOUND_VARIABLE_262011 tptp.char)) (= (= BOUND_VARIABLE_262010 BOUND_VARIABLE_262011) (ho_7226 (ho_10471 k_11315 BOUND_VARIABLE_262010) BOUND_VARIABLE_262011))))) (let ((_let_14962 (forall ((BOUND_VARIABLE_262003 tptp.char) (BOUND_VARIABLE_262004 tptp.char)) (= (= BOUND_VARIABLE_262003 BOUND_VARIABLE_262004) (ho_7226 (ho_10471 k_11316 BOUND_VARIABLE_262003) BOUND_VARIABLE_262004))))) (let ((_let_14963 (forall ((BOUND_VARIABLE_261996 tptp.char) (BOUND_VARIABLE_261997 tptp.char)) (= (= BOUND_VARIABLE_261996 BOUND_VARIABLE_261997) (ho_7226 (ho_10471 k_11317 BOUND_VARIABLE_261996) BOUND_VARIABLE_261997))))) (let ((_let_14964 (forall ((BOUND_VARIABLE_261989 tptp.char) (BOUND_VARIABLE_261990 tptp.char)) (= (= BOUND_VARIABLE_261989 BOUND_VARIABLE_261990) (ho_7226 (ho_10471 k_11318 BOUND_VARIABLE_261989) BOUND_VARIABLE_261990))))) (let ((_let_14965 (forall ((BOUND_VARIABLE_261982 tptp.char) (BOUND_VARIABLE_261983 tptp.char)) (= (= BOUND_VARIABLE_261982 BOUND_VARIABLE_261983) (ho_7226 (ho_10471 k_11319 BOUND_VARIABLE_261982) BOUND_VARIABLE_261983))))) (let ((_let_14966 (forall ((BOUND_VARIABLE_261977 tptp.char)) (= tptp.top_top_set_int (ho_11321 k_11320 BOUND_VARIABLE_261977))))) (let ((_let_14967 (forall ((BOUND_VARIABLE_261972 tptp.char)) (= (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int) (ho_11323 k_11322 BOUND_VARIABLE_261972))))) (let ((_let_14968 (forall ((BOUND_VARIABLE_261965 tptp.char)) (= (ho_7172 (ho_7171 k_7170 k_10462) (ho_4894 (ho_4893 k_4892 k_4890) tptp.top_top_set_int)) (ho_11325 k_11324 BOUND_VARIABLE_261965))))) (let ((_let_14969 (forall ((BOUND_VARIABLE_261960 tptp.char)) (= (ho_7214 (ho_7213 k_7212 k_10475) (ho_4551 (ho_10474 k_10473 tptp.zero_zero_nat) (ho_7322 k_10472 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 (ho_4529 k_4528 tptp.one))))))))))) (ho_11327 k_11326 BOUND_VARIABLE_261960))))) (let ((_let_14970 (forall ((BOUND_VARIABLE_412721 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_412720 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261953 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11328 BOUND_VARIABLE_412721) BOUND_VARIABLE_412720) BOUND_VARIABLE_261953) (ho_4855 BOUND_VARIABLE_412721 (ho_4855 BOUND_VARIABLE_412720 BOUND_VARIABLE_261953)))))) (let ((_let_14971 (forall ((BOUND_VARIABLE_412736 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_412735 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261942 tptp.code_integer) (BOUND_VARIABLE_261943 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11329 BOUND_VARIABLE_412736) BOUND_VARIABLE_412735) BOUND_VARIABLE_261942) BOUND_VARIABLE_261943) (ho_5405 (ho_5413 BOUND_VARIABLE_412736 (ho_5398 BOUND_VARIABLE_412735 BOUND_VARIABLE_261942)) BOUND_VARIABLE_261943))))) (let ((_let_14972 (forall ((BOUND_VARIABLE_412752 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_412751 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261933 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11330 BOUND_VARIABLE_412752) BOUND_VARIABLE_412751) BOUND_VARIABLE_261933) (ho_4891 BOUND_VARIABLE_412752 (ho_4914 BOUND_VARIABLE_412751 BOUND_VARIABLE_261933)))))) (let ((_let_14973 (forall ((BOUND_VARIABLE_412766 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_412765 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261924 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11331 BOUND_VARIABLE_412766) BOUND_VARIABLE_412765) BOUND_VARIABLE_261924) (ho_4855 BOUND_VARIABLE_412766 (ho_4855 BOUND_VARIABLE_412765 BOUND_VARIABLE_261924)))))) (let ((_let_14974 (forall ((BOUND_VARIABLE_412778 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261915 tptp.nat)) (= (ho_4855 (ho_6932 k_11332 BOUND_VARIABLE_412778) BOUND_VARIABLE_261915) (ho_4855 k_9472 (ho_4855 BOUND_VARIABLE_412778 BOUND_VARIABLE_261915)))))) (let ((_let_14975 (forall ((BOUND_VARIABLE_412791 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_412790 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261907 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11333 BOUND_VARIABLE_412791) BOUND_VARIABLE_412790) BOUND_VARIABLE_261907) (ho_6671 BOUND_VARIABLE_412791 (ho_4891 BOUND_VARIABLE_412790 BOUND_VARIABLE_261907)))))) (let ((_let_14976 (forall ((BOUND_VARIABLE_412805 |u_(-> Bool Bool)|) (BOUND_VARIABLE_412804 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261898 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11334 BOUND_VARIABLE_412805) BOUND_VARIABLE_412804) BOUND_VARIABLE_261898) (ho_5235 BOUND_VARIABLE_412805 (ho_4593 BOUND_VARIABLE_412804 BOUND_VARIABLE_261898)))))) (let ((_let_14977 (forall ((BOUND_VARIABLE_412817 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261889 tptp.nat)) (= (ho_4593 (ho_5216 k_11335 BOUND_VARIABLE_412817) BOUND_VARIABLE_261889) (ho_5235 k_11336 (ho_4593 BOUND_VARIABLE_412817 BOUND_VARIABLE_261889)))))) (let ((_let_14978 (forall ((BOUND_VARIABLE_261881 tptp.int) (BOUND_VARIABLE_261882 tptp.int)) (= (= BOUND_VARIABLE_261881 BOUND_VARIABLE_261882) (ho_5218 (ho_5250 k_11337 BOUND_VARIABLE_261881) BOUND_VARIABLE_261882))))) (let ((_let_14979 (forall ((BOUND_VARIABLE_261874 tptp.nat) (BOUND_VARIABLE_261875 tptp.nat)) (= (= BOUND_VARIABLE_261874 BOUND_VARIABLE_261875) (ho_4593 (ho_4511 k_11338 BOUND_VARIABLE_261874) BOUND_VARIABLE_261875))))) (let ((_let_14980 (forall ((BOUND_VARIABLE_261867 tptp.rat) (BOUND_VARIABLE_261868 tptp.rat)) (= (= BOUND_VARIABLE_261867 BOUND_VARIABLE_261868) (ho_7184 (ho_10461 k_11339 BOUND_VARIABLE_261867) BOUND_VARIABLE_261868))))) (let ((_let_14981 (forall ((BOUND_VARIABLE_261860 tptp.list_nat) (BOUND_VARIABLE_261861 tptp.list_nat)) (= (= BOUND_VARIABLE_261860 BOUND_VARIABLE_261861) (ho_10429 (ho_10428 k_11340 BOUND_VARIABLE_261860) BOUND_VARIABLE_261861))))) (let ((_let_14982 (forall ((BOUND_VARIABLE_261853 tptp.char) (BOUND_VARIABLE_261854 tptp.char)) (= (= BOUND_VARIABLE_261853 BOUND_VARIABLE_261854) (ho_7226 (ho_10471 k_11341 BOUND_VARIABLE_261853) BOUND_VARIABLE_261854))))) (let ((_let_14983 (forall ((BOUND_VARIABLE_261846 tptp.num) (BOUND_VARIABLE_261847 tptp.num)) (= (= BOUND_VARIABLE_261846 BOUND_VARIABLE_261847) (ho_6266 (ho_6623 k_11342 BOUND_VARIABLE_261846) BOUND_VARIABLE_261847))))) (let ((_let_14984 (forall ((BOUND_VARIABLE_261839 Bool) (BOUND_VARIABLE_261840 Bool)) (= (= BOUND_VARIABLE_261839 BOUND_VARIABLE_261840) (ho_5235 (ho_6701 k_11343 BOUND_VARIABLE_261839) BOUND_VARIABLE_261840))))) (let ((_let_14985 (forall ((BOUND_VARIABLE_261827 tptp.nat)) (= (ho_11347 (ho_11346 k_11345 k_6612) (ho_4518 k_11344 BOUND_VARIABLE_261827)) (ho_6357 k_10462 BOUND_VARIABLE_261827))))) (let ((_let_14986 (forall ((BOUND_VARIABLE_412894 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261820 tptp.nat)) (= (ho_4855 (ho_6932 k_11348 BOUND_VARIABLE_412894) BOUND_VARIABLE_261820) (ho_4855 k_9472 (ho_4855 BOUND_VARIABLE_412894 BOUND_VARIABLE_261820)))))) (let ((_let_14987 (forall ((BOUND_VARIABLE_412905 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261812 tptp.nat)) (= (ho_4593 (ho_5216 k_11349 BOUND_VARIABLE_412905) BOUND_VARIABLE_261812) (ho_5235 k_11336 (ho_4593 BOUND_VARIABLE_412905 BOUND_VARIABLE_261812)))))) (let ((_let_14988 (forall ((BOUND_VARIABLE_412916 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261804 tptp.int)) (= (ho_4891 (ho_6935 k_11350 BOUND_VARIABLE_412916) BOUND_VARIABLE_261804) (ho_4891 BOUND_VARIABLE_412916 (ho_4914 k_11351 BOUND_VARIABLE_261804)))))) (let ((_let_14989 (forall ((BOUND_VARIABLE_412928 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261796 tptp.nat)) (= (ho_4855 (ho_6932 k_11352 BOUND_VARIABLE_412928) BOUND_VARIABLE_261796) (ho_4855 BOUND_VARIABLE_412928 (ho_4855 k_9472 BOUND_VARIABLE_261796)))))) (let ((_let_14990 (forall ((BOUND_VARIABLE_412939 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261788 tptp.nat)) (= (ho_4855 (ho_6932 k_11353 BOUND_VARIABLE_412939) BOUND_VARIABLE_261788) (ho_4855 k_9472 (ho_4855 BOUND_VARIABLE_412939 BOUND_VARIABLE_261788)))))) (let ((_let_14991 (forall ((BOUND_VARIABLE_412950 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261780 tptp.nat)) (= (ho_4593 (ho_5216 k_11354 BOUND_VARIABLE_412950) BOUND_VARIABLE_261780) (ho_5235 k_11336 (ho_4593 BOUND_VARIABLE_412950 BOUND_VARIABLE_261780)))))) (let ((_let_14992 (forall ((BOUND_VARIABLE_261766 tptp.set_int) (BOUND_VARIABLE_412962 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261768 tptp.product_prod_int_int)) (= (ho_4599 (ho_5529 (ho_11356 k_11355 BOUND_VARIABLE_261766) BOUND_VARIABLE_412962) BOUND_VARIABLE_261768) (ho_5218 (ho_5250 (ho_6846 (ho_6845 k_11357 BOUND_VARIABLE_261766) BOUND_VARIABLE_412962) (ho_5531 k_5530 BOUND_VARIABLE_261768)) (ho_5531 k_5532 BOUND_VARIABLE_261768)))))) (let ((_let_14993 (forall ((BOUND_VARIABLE_412988 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_412987 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_412986 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_412985 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_11358 BOUND_VARIABLE_412988) BOUND_VARIABLE_412987) BOUND_VARIABLE_412986) BOUND_VARIABLE_412985) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_412988) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_412986) BOUND_VARIABLE_412985) BOUND_VARIABLE_412987)))))) (let ((_let_14994 (forall ((BOUND_VARIABLE_413009 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_413008 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_413007 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_413006 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_11359 BOUND_VARIABLE_413009) BOUND_VARIABLE_413008) BOUND_VARIABLE_413007) BOUND_VARIABLE_413006) (ho_11366 (ho_11365 k_11364 (ho_11363 (ho_11362 (ho_11361 k_11360 BOUND_VARIABLE_413007) BOUND_VARIABLE_413006) BOUND_VARIABLE_413009)) BOUND_VARIABLE_413008))))) (let ((_let_14995 (forall ((BOUND_VARIABLE_413052 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_413051 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_413050 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_413049 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_11367 BOUND_VARIABLE_413052) BOUND_VARIABLE_413051) BOUND_VARIABLE_413050) BOUND_VARIABLE_413049) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_413052) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_413050) BOUND_VARIABLE_413049) BOUND_VARIABLE_413051)))))) (let ((_let_14996 (forall ((BOUND_VARIABLE_413073 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_413072 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_413071 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_413070 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_11368 BOUND_VARIABLE_413073) BOUND_VARIABLE_413072) BOUND_VARIABLE_413071) BOUND_VARIABLE_413070) (ho_11366 (ho_11365 k_11364 (ho_11372 (ho_11371 (ho_11370 k_11369 BOUND_VARIABLE_413071) BOUND_VARIABLE_413070) BOUND_VARIABLE_413073)) BOUND_VARIABLE_413072))))) (let ((_let_14997 (forall ((BOUND_VARIABLE_413113 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_413108 |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (BOUND_VARIABLE_413105 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_413104 |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9769 (ho_11377 (ho_11376 (ho_11375 k_11374 BOUND_VARIABLE_413113) BOUND_VARIABLE_413108) BOUND_VARIABLE_413105) BOUND_VARIABLE_413104) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_413113) (ho_11381 (ho_11380 (ho_11379 k_11378 BOUND_VARIABLE_413105) BOUND_VARIABLE_413104) BOUND_VARIABLE_413108)))))) (let ((_let_14998 (forall ((BOUND_VARIABLE_413159 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_413158 |u_(-> _u_(-> tptp.product_prod_nat_nat Bool)_ _u_(-> tptp.int Bool)_ Bool)|) (BOUND_VARIABLE_413157 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_413156 |u_(-> tptp.int tptp.int Bool)|)) (= (ho_9769 (ho_11377 (ho_11376 (ho_11375 k_11382 BOUND_VARIABLE_413159) BOUND_VARIABLE_413158) BOUND_VARIABLE_413157) BOUND_VARIABLE_413156) (ho_11389 (ho_11388 k_11387 (ho_11386 (ho_11385 (ho_11384 k_11383 BOUND_VARIABLE_413157) BOUND_VARIABLE_413156) BOUND_VARIABLE_413159)) BOUND_VARIABLE_413158))))) (let ((_let_14999 (forall ((BOUND_VARIABLE_413206 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_413203 |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (BOUND_VARIABLE_413200 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_413199 |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11395 (ho_11394 (ho_11393 (ho_11392 k_11391 BOUND_VARIABLE_413206) BOUND_VARIABLE_413203) BOUND_VARIABLE_413200) BOUND_VARIABLE_413199) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_413206) (ho_11399 (ho_11398 (ho_11397 k_11396 BOUND_VARIABLE_413200) BOUND_VARIABLE_413199) BOUND_VARIABLE_413203)))))) (let ((_let_15000 (forall ((BOUND_VARIABLE_413256 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_413255 |u_(-> _u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)_ _u_(-> tptp.int tptp.int)_ Bool)|) (BOUND_VARIABLE_413254 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_413253 |u_(-> tptp.int tptp.int tptp.int)|)) (= (ho_11395 (ho_11394 (ho_11393 (ho_11392 k_11400 BOUND_VARIABLE_413256) BOUND_VARIABLE_413255) BOUND_VARIABLE_413254) BOUND_VARIABLE_413253) (ho_11407 (ho_11406 k_11405 (ho_11404 (ho_11403 (ho_11402 k_11401 BOUND_VARIABLE_413254) BOUND_VARIABLE_413253) BOUND_VARIABLE_413256)) BOUND_VARIABLE_413255))))) (let ((_let_15001 (forall ((BOUND_VARIABLE_413299 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_413298 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_413297 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_413296 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_11408 BOUND_VARIABLE_413299) BOUND_VARIABLE_413298) BOUND_VARIABLE_413297) BOUND_VARIABLE_413296) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_413299) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_413297) BOUND_VARIABLE_413296) BOUND_VARIABLE_413298)))))) (let ((_let_15002 (forall ((BOUND_VARIABLE_413320 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_413319 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_413318 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_413317 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_11409 BOUND_VARIABLE_413320) BOUND_VARIABLE_413319) BOUND_VARIABLE_413318) BOUND_VARIABLE_413317) (ho_11416 (ho_11415 k_11414 (ho_11413 (ho_11412 (ho_11411 k_11410 BOUND_VARIABLE_413318) BOUND_VARIABLE_413317) BOUND_VARIABLE_413320)) BOUND_VARIABLE_413319))))) (let ((_let_15003 (forall ((BOUND_VARIABLE_413360 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_413359 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261629 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11417 BOUND_VARIABLE_413360) BOUND_VARIABLE_413359) BOUND_VARIABLE_261629) (ho_4855 BOUND_VARIABLE_413360 (ho_4855 BOUND_VARIABLE_413359 BOUND_VARIABLE_261629)))))) (let ((_let_15004 (forall ((BOUND_VARIABLE_413374 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413373 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261620 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11418 BOUND_VARIABLE_413374) BOUND_VARIABLE_413373) BOUND_VARIABLE_261620) (ho_4891 BOUND_VARIABLE_413374 (ho_4914 BOUND_VARIABLE_413373 BOUND_VARIABLE_261620)))))) (let ((_let_15005 (forall ((BOUND_VARIABLE_413388 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413387 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261611 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11419 BOUND_VARIABLE_413388) BOUND_VARIABLE_413387) BOUND_VARIABLE_261611) (ho_6671 BOUND_VARIABLE_413388 (ho_4891 BOUND_VARIABLE_413387 BOUND_VARIABLE_261611)))))) (let ((_let_15006 (forall ((BOUND_VARIABLE_413402 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413401 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261602 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11420 BOUND_VARIABLE_413402) BOUND_VARIABLE_413401) BOUND_VARIABLE_261602) (ho_5235 BOUND_VARIABLE_413402 (ho_4593 BOUND_VARIABLE_413401 BOUND_VARIABLE_261602)))))) (let ((_let_15007 (forall ((BOUND_VARIABLE_413416 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413415 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261593 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11421 BOUND_VARIABLE_413416) BOUND_VARIABLE_413415) BOUND_VARIABLE_261593) (ho_4891 BOUND_VARIABLE_413416 (ho_4914 BOUND_VARIABLE_413415 BOUND_VARIABLE_261593)))))) (let ((_let_15008 (forall ((BOUND_VARIABLE_413430 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_413429 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261584 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11422 BOUND_VARIABLE_413430) BOUND_VARIABLE_413429) BOUND_VARIABLE_261584) (ho_4855 BOUND_VARIABLE_413430 (ho_4855 BOUND_VARIABLE_413429 BOUND_VARIABLE_261584)))))) (let ((_let_15009 (forall ((BOUND_VARIABLE_413444 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413443 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261575 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11423 BOUND_VARIABLE_413444) BOUND_VARIABLE_413443) BOUND_VARIABLE_261575) (ho_6671 BOUND_VARIABLE_413444 (ho_4891 BOUND_VARIABLE_413443 BOUND_VARIABLE_261575)))))) (let ((_let_15010 (forall ((BOUND_VARIABLE_413458 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413457 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261566 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11424 BOUND_VARIABLE_413458) BOUND_VARIABLE_413457) BOUND_VARIABLE_261566) (ho_5235 BOUND_VARIABLE_413458 (ho_4593 BOUND_VARIABLE_413457 BOUND_VARIABLE_261566)))))) (let ((_let_15011 (forall ((BOUND_VARIABLE_413478 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413475 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_413473 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261553 tptp.code_integer) (BOUND_VARIABLE_261554 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11426 BOUND_VARIABLE_413478) BOUND_VARIABLE_413475) BOUND_VARIABLE_413473) BOUND_VARIABLE_261553) BOUND_VARIABLE_261554) (ho_5405 (ho_5413 BOUND_VARIABLE_413478 (ho_5398 (ho_11431 (ho_11430 k_11429 BOUND_VARIABLE_413475) BOUND_VARIABLE_413473) BOUND_VARIABLE_261553)) BOUND_VARIABLE_261554))))) (let ((_let_15012 (forall ((BOUND_VARIABLE_413517 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413516 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_413515 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261539 tptp.code_integer) (BOUND_VARIABLE_261540 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11432 BOUND_VARIABLE_413517) BOUND_VARIABLE_413516) BOUND_VARIABLE_413515) BOUND_VARIABLE_261539) BOUND_VARIABLE_261540) (ho_5405 (ho_5413 (ho_11435 (ho_11434 k_11433 BOUND_VARIABLE_413517) BOUND_VARIABLE_413516) (ho_5398 BOUND_VARIABLE_413515 BOUND_VARIABLE_261539)) BOUND_VARIABLE_261540))))) (let ((_let_15013 (forall ((BOUND_VARIABLE_413548 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413547 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_413546 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261525 tptp.code_integer) (BOUND_VARIABLE_261526 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6659 (ho_11438 (ho_11437 k_11436 BOUND_VARIABLE_413548) BOUND_VARIABLE_413547) BOUND_VARIABLE_413546) BOUND_VARIABLE_261525) BOUND_VARIABLE_261526) (ho_5405 (ho_5413 BOUND_VARIABLE_413548 (ho_5398 (ho_7042 (ho_11440 k_11439 BOUND_VARIABLE_413547) BOUND_VARIABLE_413546) BOUND_VARIABLE_261525)) BOUND_VARIABLE_261526))))) (let ((_let_15014 (forall ((BOUND_VARIABLE_413581 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413580 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261513 tptp.code_integer) (BOUND_VARIABLE_261514 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11441 BOUND_VARIABLE_413581) BOUND_VARIABLE_413580) BOUND_VARIABLE_261513) BOUND_VARIABLE_261514) (ho_5405 (ho_5413 BOUND_VARIABLE_413581 (ho_5398 BOUND_VARIABLE_413580 BOUND_VARIABLE_261513)) BOUND_VARIABLE_261514))))) (let ((_let_15015 (forall ((BOUND_VARIABLE_413599 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413598 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_413597 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261502 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11442 BOUND_VARIABLE_413599) BOUND_VARIABLE_413598) BOUND_VARIABLE_413597) BOUND_VARIABLE_261502) (ho_4891 BOUND_VARIABLE_413599 (ho_4914 (ho_8181 (ho_8180 k_11443 BOUND_VARIABLE_413598) BOUND_VARIABLE_413597) BOUND_VARIABLE_261502)))))) (let ((_let_15016 (forall ((BOUND_VARIABLE_413619 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413618 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_413617 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261491 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11444 BOUND_VARIABLE_413619) BOUND_VARIABLE_413618) BOUND_VARIABLE_413617) BOUND_VARIABLE_261491) (ho_4891 BOUND_VARIABLE_413619 (ho_4914 BOUND_VARIABLE_413618 (ho_4914 BOUND_VARIABLE_413617 BOUND_VARIABLE_261491))))))) (let ((_let_15017 (forall ((BOUND_VARIABLE_413637 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413636 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413635 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261480 tptp.int)) (= (ho_5439 (ho_11448 (ho_11447 (ho_11446 k_11445 BOUND_VARIABLE_413637) BOUND_VARIABLE_413636) BOUND_VARIABLE_413635) BOUND_VARIABLE_261480) (ho_6671 BOUND_VARIABLE_413637 (ho_4891 BOUND_VARIABLE_413636 (ho_4914 BOUND_VARIABLE_413635 BOUND_VARIABLE_261480))))))) (let ((_let_15018 (forall ((BOUND_VARIABLE_413665 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413664 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261470 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11449 BOUND_VARIABLE_413665) BOUND_VARIABLE_413664) BOUND_VARIABLE_261470) (ho_6671 BOUND_VARIABLE_413665 (ho_4891 BOUND_VARIABLE_413664 BOUND_VARIABLE_261470)))))) (let ((_let_15019 (forall ((BOUND_VARIABLE_413681 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413680 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_413679 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261459 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 (ho_10584 k_11450 BOUND_VARIABLE_413681) BOUND_VARIABLE_413680) BOUND_VARIABLE_413679) BOUND_VARIABLE_261459) (ho_5235 BOUND_VARIABLE_413681 (ho_4593 (ho_10577 (ho_10576 k_10575 BOUND_VARIABLE_413680) BOUND_VARIABLE_413679) BOUND_VARIABLE_261459)))))) (let ((_let_15020 (forall ((BOUND_VARIABLE_413698 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413697 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261449 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11451 BOUND_VARIABLE_413698) BOUND_VARIABLE_413697) BOUND_VARIABLE_261449) (ho_5235 BOUND_VARIABLE_413698 (ho_4593 BOUND_VARIABLE_413697 BOUND_VARIABLE_261449)))))) (let ((_let_15021 (forall ((BOUND_VARIABLE_413714 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413713 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_413712 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261438 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11452 BOUND_VARIABLE_413714) BOUND_VARIABLE_413713) BOUND_VARIABLE_413712) BOUND_VARIABLE_261438) (ho_6671 BOUND_VARIABLE_413714 (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_413713) BOUND_VARIABLE_413712) BOUND_VARIABLE_261438)))))) (let ((_let_15022 (forall ((BOUND_VARIABLE_413741 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413740 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_413739 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261426 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11455 BOUND_VARIABLE_413741) BOUND_VARIABLE_413740) BOUND_VARIABLE_413739) BOUND_VARIABLE_261426) (ho_6671 (ho_11458 (ho_11457 k_11456 BOUND_VARIABLE_413741) BOUND_VARIABLE_413740) (ho_4891 BOUND_VARIABLE_413739 BOUND_VARIABLE_261426)))))) (let ((_let_15023 (forall ((BOUND_VARIABLE_413769 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413768 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413767 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261415 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11459 BOUND_VARIABLE_413769) BOUND_VARIABLE_413768) BOUND_VARIABLE_413767) BOUND_VARIABLE_261415) (ho_5235 BOUND_VARIABLE_413769 (ho_5235 BOUND_VARIABLE_413768 (ho_4593 BOUND_VARIABLE_413767 BOUND_VARIABLE_261415))))))) (let ((_let_15024 (forall ((BOUND_VARIABLE_413787 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413786 |u_(-> Bool Bool)|) (BOUND_VARIABLE_413785 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261403 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11460 BOUND_VARIABLE_413787) BOUND_VARIABLE_413786) BOUND_VARIABLE_413785) BOUND_VARIABLE_261403) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_413787) BOUND_VARIABLE_413786) (ho_4593 BOUND_VARIABLE_413785 BOUND_VARIABLE_261403)))))) (let ((_let_15025 (forall ((BOUND_VARIABLE_413804 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413803 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261393 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11461 BOUND_VARIABLE_413804) BOUND_VARIABLE_413803) BOUND_VARIABLE_261393) (ho_4891 BOUND_VARIABLE_413804 (ho_4914 BOUND_VARIABLE_413803 BOUND_VARIABLE_261393)))))) (let ((_let_15026 (forall ((BOUND_VARIABLE_413820 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_413819 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413818 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261382 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 (ho_10945 k_11462 BOUND_VARIABLE_413820) BOUND_VARIABLE_413819) BOUND_VARIABLE_413818) BOUND_VARIABLE_261382) (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_413820) BOUND_VARIABLE_413819) (ho_4914 BOUND_VARIABLE_413818 BOUND_VARIABLE_261382)))))) (let ((_let_15027 (forall ((BOUND_VARIABLE_413837 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413836 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261372 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11463 BOUND_VARIABLE_413837) BOUND_VARIABLE_413836) BOUND_VARIABLE_261372) (ho_6671 BOUND_VARIABLE_413837 (ho_4891 BOUND_VARIABLE_413836 BOUND_VARIABLE_261372)))))) (let ((_let_15028 (forall ((BOUND_VARIABLE_413853 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_413852 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413851 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261361 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 (ho_11465 k_11464 BOUND_VARIABLE_413853) BOUND_VARIABLE_413852) BOUND_VARIABLE_413851) BOUND_VARIABLE_261361) (ho_6671 (ho_11468 (ho_11467 k_11466 BOUND_VARIABLE_413853) BOUND_VARIABLE_413852) (ho_4891 BOUND_VARIABLE_413851 BOUND_VARIABLE_261361)))))) (let ((_let_15029 (forall ((BOUND_VARIABLE_413885 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413884 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_413883 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261347 tptp.code_integer) (BOUND_VARIABLE_261348 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11469 BOUND_VARIABLE_413885) BOUND_VARIABLE_413884) BOUND_VARIABLE_413883) BOUND_VARIABLE_261347) BOUND_VARIABLE_261348) (ho_5405 (ho_5413 (ho_11435 (ho_11434 k_11433 BOUND_VARIABLE_413885) BOUND_VARIABLE_413884) (ho_5398 BOUND_VARIABLE_413883 BOUND_VARIABLE_261347)) BOUND_VARIABLE_261348))))) (let ((_let_15030 (forall ((BOUND_VARIABLE_413907 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413906 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_413905 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261333 tptp.code_integer) (BOUND_VARIABLE_261334 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11470 BOUND_VARIABLE_413907) BOUND_VARIABLE_413906) BOUND_VARIABLE_413905) BOUND_VARIABLE_261333) BOUND_VARIABLE_261334) (ho_5405 (ho_5413 BOUND_VARIABLE_413907 (ho_5398 (ho_11431 (ho_11430 k_11429 BOUND_VARIABLE_413906) BOUND_VARIABLE_413905) BOUND_VARIABLE_261333)) BOUND_VARIABLE_261334))))) (let ((_let_15031 (forall ((BOUND_VARIABLE_413927 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413926 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261321 tptp.code_integer) (BOUND_VARIABLE_261322 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11471 BOUND_VARIABLE_413927) BOUND_VARIABLE_413926) BOUND_VARIABLE_261321) BOUND_VARIABLE_261322) (ho_5405 (ho_5413 BOUND_VARIABLE_413927 (ho_5398 BOUND_VARIABLE_413926 BOUND_VARIABLE_261321)) BOUND_VARIABLE_261322))))) (let ((_let_15032 (forall ((BOUND_VARIABLE_413946 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_413945 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_413944 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_261308 tptp.code_integer) (BOUND_VARIABLE_261309 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6659 (ho_11438 (ho_11437 k_11472 BOUND_VARIABLE_413946) BOUND_VARIABLE_413945) BOUND_VARIABLE_413944) BOUND_VARIABLE_261308) BOUND_VARIABLE_261309) (ho_5405 (ho_5413 BOUND_VARIABLE_413946 (ho_5398 (ho_7042 (ho_11440 k_11439 BOUND_VARIABLE_413945) BOUND_VARIABLE_413944) BOUND_VARIABLE_261308)) BOUND_VARIABLE_261309))))) (let ((_let_15033 (forall ((BOUND_VARIABLE_413967 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_413966 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413965 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261296 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 (ho_10945 k_11473 BOUND_VARIABLE_413967) BOUND_VARIABLE_413966) BOUND_VARIABLE_413965) BOUND_VARIABLE_261296) (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_413967) BOUND_VARIABLE_413966) (ho_4914 BOUND_VARIABLE_413965 BOUND_VARIABLE_261296)))))) (let ((_let_15034 (forall ((BOUND_VARIABLE_413984 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_413983 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261286 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11474 BOUND_VARIABLE_413984) BOUND_VARIABLE_413983) BOUND_VARIABLE_261286) (ho_4891 BOUND_VARIABLE_413984 (ho_4914 BOUND_VARIABLE_413983 BOUND_VARIABLE_261286)))))) (let ((_let_15035 (forall ((BOUND_VARIABLE_413998 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_413997 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261277 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11475 BOUND_VARIABLE_413998) BOUND_VARIABLE_413997) BOUND_VARIABLE_261277) (ho_6671 BOUND_VARIABLE_413998 (ho_4891 BOUND_VARIABLE_413997 BOUND_VARIABLE_261277)))))) (let ((_let_15036 (forall ((BOUND_VARIABLE_414014 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414013 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414012 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261267 tptp.int)) (= (ho_5439 (ho_11448 (ho_11447 (ho_11446 k_11476 BOUND_VARIABLE_414014) BOUND_VARIABLE_414013) BOUND_VARIABLE_414012) BOUND_VARIABLE_261267) (ho_6671 BOUND_VARIABLE_414014 (ho_4891 BOUND_VARIABLE_414013 (ho_4914 BOUND_VARIABLE_414012 BOUND_VARIABLE_261267))))))) (let ((_let_15037 (forall ((BOUND_VARIABLE_414032 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_414031 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414030 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261255 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 (ho_11465 k_11477 BOUND_VARIABLE_414032) BOUND_VARIABLE_414031) BOUND_VARIABLE_414030) BOUND_VARIABLE_261255) (ho_6671 (ho_11468 (ho_11467 k_11466 BOUND_VARIABLE_414032) BOUND_VARIABLE_414031) (ho_4891 BOUND_VARIABLE_414030 BOUND_VARIABLE_261255)))))) (let ((_let_15038 (forall ((BOUND_VARIABLE_414049 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414048 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261245 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11478 BOUND_VARIABLE_414049) BOUND_VARIABLE_414048) BOUND_VARIABLE_261245) (ho_6671 BOUND_VARIABLE_414049 (ho_4891 BOUND_VARIABLE_414048 BOUND_VARIABLE_261245)))))) (let ((_let_15039 (forall ((BOUND_VARIABLE_414065 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414064 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414063 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261234 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11479 BOUND_VARIABLE_414065) BOUND_VARIABLE_414064) BOUND_VARIABLE_414063) BOUND_VARIABLE_261234) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_414065) BOUND_VARIABLE_414064) (ho_4593 BOUND_VARIABLE_414063 BOUND_VARIABLE_261234)))))) (let ((_let_15040 (forall ((BOUND_VARIABLE_414084 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414083 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414082 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261223 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11480 BOUND_VARIABLE_414084) BOUND_VARIABLE_414083) BOUND_VARIABLE_414082) BOUND_VARIABLE_261223) (ho_5235 BOUND_VARIABLE_414084 (ho_5235 BOUND_VARIABLE_414083 (ho_4593 BOUND_VARIABLE_414082 BOUND_VARIABLE_261223))))))) (let ((_let_15041 (forall ((BOUND_VARIABLE_414102 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414101 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_414100 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261212 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11481 BOUND_VARIABLE_414102) BOUND_VARIABLE_414101) BOUND_VARIABLE_414100) BOUND_VARIABLE_261212) (ho_4891 BOUND_VARIABLE_414102 (ho_4914 BOUND_VARIABLE_414101 (ho_4914 BOUND_VARIABLE_414100 BOUND_VARIABLE_261212))))))) (let ((_let_15042 (forall ((BOUND_VARIABLE_414120 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414119 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_414118 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_261200 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11482 BOUND_VARIABLE_414120) BOUND_VARIABLE_414119) BOUND_VARIABLE_414118) BOUND_VARIABLE_261200) (ho_4891 BOUND_VARIABLE_414120 (ho_4914 (ho_8181 (ho_8180 k_11443 BOUND_VARIABLE_414119) BOUND_VARIABLE_414118) BOUND_VARIABLE_261200)))))) (let ((_let_15043 (forall ((BOUND_VARIABLE_414139 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414138 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414137 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261188 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11483 BOUND_VARIABLE_414139) BOUND_VARIABLE_414138) BOUND_VARIABLE_414137) BOUND_VARIABLE_261188) (ho_6671 (ho_11458 (ho_11457 k_11456 BOUND_VARIABLE_414139) BOUND_VARIABLE_414138) (ho_4891 BOUND_VARIABLE_414137 BOUND_VARIABLE_261188)))))) (let ((_let_15044 (forall ((BOUND_VARIABLE_414158 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414157 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414156 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261176 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11484 BOUND_VARIABLE_414158) BOUND_VARIABLE_414157) BOUND_VARIABLE_414156) BOUND_VARIABLE_261176) (ho_6671 BOUND_VARIABLE_414158 (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_414157) BOUND_VARIABLE_414156) BOUND_VARIABLE_261176)))))) (let ((_let_15045 (forall ((BOUND_VARIABLE_414175 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414174 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261166 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11485 BOUND_VARIABLE_414175) BOUND_VARIABLE_414174) BOUND_VARIABLE_261166) (ho_5235 BOUND_VARIABLE_414175 (ho_4593 BOUND_VARIABLE_414174 BOUND_VARIABLE_261166)))))) (let ((_let_15046 (forall ((BOUND_VARIABLE_414191 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414190 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_414189 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261155 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 (ho_10584 k_11486 BOUND_VARIABLE_414191) BOUND_VARIABLE_414190) BOUND_VARIABLE_414189) BOUND_VARIABLE_261155) (ho_5235 BOUND_VARIABLE_414191 (ho_4593 (ho_10577 (ho_10576 k_10575 BOUND_VARIABLE_414190) BOUND_VARIABLE_414189) BOUND_VARIABLE_261155)))))) (let ((_let_15047 (forall ((BOUND_VARIABLE_414208 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414207 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261145 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11487 BOUND_VARIABLE_414208) BOUND_VARIABLE_414207) BOUND_VARIABLE_261145) (ho_4855 BOUND_VARIABLE_414208 (ho_4855 BOUND_VARIABLE_414207 BOUND_VARIABLE_261145)))))) (let ((_let_15048 (forall ((BOUND_VARIABLE_414222 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414221 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261136 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11488 BOUND_VARIABLE_414222) BOUND_VARIABLE_414221) BOUND_VARIABLE_261136) (ho_6671 BOUND_VARIABLE_414222 (ho_4891 BOUND_VARIABLE_414221 BOUND_VARIABLE_261136)))))) (let ((_let_15049 (forall ((BOUND_VARIABLE_414236 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414235 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261127 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11489 BOUND_VARIABLE_414236) BOUND_VARIABLE_414235) BOUND_VARIABLE_261127) (ho_5235 BOUND_VARIABLE_414236 (ho_4593 BOUND_VARIABLE_414235 BOUND_VARIABLE_261127)))))) (let ((_let_15050 (forall ((BOUND_VARIABLE_414250 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414249 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261118 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11490 BOUND_VARIABLE_414250) BOUND_VARIABLE_414249) BOUND_VARIABLE_261118) (ho_4855 BOUND_VARIABLE_414250 (ho_4855 BOUND_VARIABLE_414249 BOUND_VARIABLE_261118)))))) (let ((_let_15051 (forall ((BOUND_VARIABLE_414266 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414265 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_414264 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_261107 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 (ho_10584 k_11491 BOUND_VARIABLE_414266) BOUND_VARIABLE_414265) BOUND_VARIABLE_414264) BOUND_VARIABLE_261107) (ho_5235 BOUND_VARIABLE_414266 (ho_4593 (ho_10577 (ho_10576 k_10575 BOUND_VARIABLE_414265) BOUND_VARIABLE_414264) BOUND_VARIABLE_261107)))))) (let ((_let_15052 (forall ((BOUND_VARIABLE_414283 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414282 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261097 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11492 BOUND_VARIABLE_414283) BOUND_VARIABLE_414282) BOUND_VARIABLE_261097) (ho_5235 BOUND_VARIABLE_414283 (ho_4593 BOUND_VARIABLE_414282 BOUND_VARIABLE_261097)))))) (let ((_let_15053 (forall ((BOUND_VARIABLE_414297 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414296 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261088 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11493 BOUND_VARIABLE_414297) BOUND_VARIABLE_414296) BOUND_VARIABLE_261088) (ho_6671 BOUND_VARIABLE_414297 (ho_4891 BOUND_VARIABLE_414296 BOUND_VARIABLE_261088)))))) (let ((_let_15054 (forall ((BOUND_VARIABLE_414313 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414312 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_414311 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261077 tptp.int)) (= (ho_4891 (ho_6935 (ho_11496 (ho_11495 k_11494 BOUND_VARIABLE_414313) BOUND_VARIABLE_414312) BOUND_VARIABLE_414311) BOUND_VARIABLE_261077) (ho_4891 BOUND_VARIABLE_414313 (ho_4914 (ho_7150 (ho_7149 k_10603 BOUND_VARIABLE_414312) BOUND_VARIABLE_414311) BOUND_VARIABLE_261077)))))) (let ((_let_15055 (forall ((BOUND_VARIABLE_414338 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414337 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261067 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11497 BOUND_VARIABLE_414338) BOUND_VARIABLE_414337) BOUND_VARIABLE_261067) (ho_6671 BOUND_VARIABLE_414338 (ho_4891 BOUND_VARIABLE_414337 BOUND_VARIABLE_261067)))))) (let ((_let_15056 (forall ((BOUND_VARIABLE_414354 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414353 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414352 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261056 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11498 BOUND_VARIABLE_414354) BOUND_VARIABLE_414353) BOUND_VARIABLE_414352) BOUND_VARIABLE_261056) (ho_6671 BOUND_VARIABLE_414354 (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_414353) BOUND_VARIABLE_414352) BOUND_VARIABLE_261056)))))) (let ((_let_15057 (forall ((BOUND_VARIABLE_414371 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414370 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_261046 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11499 BOUND_VARIABLE_414371) BOUND_VARIABLE_414370) BOUND_VARIABLE_261046) (ho_6671 BOUND_VARIABLE_414371 (ho_4891 BOUND_VARIABLE_414370 BOUND_VARIABLE_261046)))))) (let ((_let_15058 (forall ((BOUND_VARIABLE_414387 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414386 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_414385 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261035 tptp.nat)) (= (ho_4855 (ho_10540 (ho_10539 (ho_11501 k_11500 BOUND_VARIABLE_414387) BOUND_VARIABLE_414386) BOUND_VARIABLE_414385) BOUND_VARIABLE_261035) (ho_4855 BOUND_VARIABLE_414387 (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_414386) BOUND_VARIABLE_414385) BOUND_VARIABLE_261035)))))) (let ((_let_15059 (forall ((BOUND_VARIABLE_414408 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414407 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261025 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11502 BOUND_VARIABLE_414408) BOUND_VARIABLE_414407) BOUND_VARIABLE_261025) (ho_5235 BOUND_VARIABLE_414408 (ho_4593 BOUND_VARIABLE_414407 BOUND_VARIABLE_261025)))))) (let ((_let_15060 (forall ((BOUND_VARIABLE_414424 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414423 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414422 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261015 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11503 BOUND_VARIABLE_414424) BOUND_VARIABLE_414423) BOUND_VARIABLE_414422) BOUND_VARIABLE_261015) (ho_5235 BOUND_VARIABLE_414424 (ho_5235 BOUND_VARIABLE_414423 (ho_4593 BOUND_VARIABLE_414422 BOUND_VARIABLE_261015))))))) (let ((_let_15061 (forall ((BOUND_VARIABLE_414442 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414441 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414440 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_261004 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11504 BOUND_VARIABLE_414442) BOUND_VARIABLE_414441) BOUND_VARIABLE_414440) BOUND_VARIABLE_261004) (ho_5235 BOUND_VARIABLE_414442 (ho_5235 BOUND_VARIABLE_414441 (ho_4593 BOUND_VARIABLE_414440 BOUND_VARIABLE_261004))))))) (let ((_let_15062 (forall ((BOUND_VARIABLE_414458 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414457 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260994 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11505 BOUND_VARIABLE_414458) BOUND_VARIABLE_414457) BOUND_VARIABLE_260994) (ho_6671 BOUND_VARIABLE_414458 (ho_4891 BOUND_VARIABLE_414457 BOUND_VARIABLE_260994)))))) (let ((_let_15063 (forall ((BOUND_VARIABLE_414474 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414473 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_414472 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260983 tptp.int)) (= (ho_4891 (ho_6935 (ho_11496 (ho_11495 k_11506 BOUND_VARIABLE_414474) BOUND_VARIABLE_414473) BOUND_VARIABLE_414472) BOUND_VARIABLE_260983) (ho_4891 BOUND_VARIABLE_414474 (ho_4914 (ho_7150 (ho_7149 k_10603 BOUND_VARIABLE_414473) BOUND_VARIABLE_414472) BOUND_VARIABLE_260983)))))) (let ((_let_15064 (forall ((BOUND_VARIABLE_414491 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414490 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260973 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11507 BOUND_VARIABLE_414491) BOUND_VARIABLE_414490) BOUND_VARIABLE_260973) (ho_6671 BOUND_VARIABLE_414491 (ho_4891 BOUND_VARIABLE_414490 BOUND_VARIABLE_260973)))))) (let ((_let_15065 (forall ((BOUND_VARIABLE_414507 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414506 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414505 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260962 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11508 BOUND_VARIABLE_414507) BOUND_VARIABLE_414506) BOUND_VARIABLE_414505) BOUND_VARIABLE_260962) (ho_6671 BOUND_VARIABLE_414507 (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_414506) BOUND_VARIABLE_414505) BOUND_VARIABLE_260962)))))) (let ((_let_15066 (forall ((BOUND_VARIABLE_414524 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414523 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260952 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11509 BOUND_VARIABLE_414524) BOUND_VARIABLE_414523) BOUND_VARIABLE_260952) (ho_5235 BOUND_VARIABLE_414524 (ho_4593 BOUND_VARIABLE_414523 BOUND_VARIABLE_260952)))))) (let ((_let_15067 (forall ((BOUND_VARIABLE_414540 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414539 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_414538 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260941 tptp.nat)) (= (ho_4855 (ho_10540 (ho_10539 (ho_11501 k_11510 BOUND_VARIABLE_414540) BOUND_VARIABLE_414539) BOUND_VARIABLE_414538) BOUND_VARIABLE_260941) (ho_4855 BOUND_VARIABLE_414540 (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_414539) BOUND_VARIABLE_414538) BOUND_VARIABLE_260941)))))) (let ((_let_15068 (forall ((BOUND_VARIABLE_414557 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414556 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260931 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11511 BOUND_VARIABLE_414557) BOUND_VARIABLE_414556) BOUND_VARIABLE_260931) (ho_4891 BOUND_VARIABLE_414557 (ho_4914 BOUND_VARIABLE_414556 BOUND_VARIABLE_260931)))))) (let ((_let_15069 (forall ((BOUND_VARIABLE_414573 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414572 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414571 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260920 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11512 BOUND_VARIABLE_414573) BOUND_VARIABLE_414572) BOUND_VARIABLE_414571) BOUND_VARIABLE_260920) (ho_6671 (ho_11458 (ho_11457 k_11456 BOUND_VARIABLE_414573) BOUND_VARIABLE_414572) (ho_4891 BOUND_VARIABLE_414571 BOUND_VARIABLE_260920)))))) (let ((_let_15070 (forall ((BOUND_VARIABLE_414590 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414589 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260910 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11513 BOUND_VARIABLE_414590) BOUND_VARIABLE_414589) BOUND_VARIABLE_260910) (ho_6671 BOUND_VARIABLE_414590 (ho_4891 BOUND_VARIABLE_414589 BOUND_VARIABLE_260910)))))) (let ((_let_15071 (forall ((BOUND_VARIABLE_414604 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414603 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260901 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11514 BOUND_VARIABLE_414604) BOUND_VARIABLE_414603) BOUND_VARIABLE_260901) (ho_4891 BOUND_VARIABLE_414604 (ho_4914 BOUND_VARIABLE_414603 BOUND_VARIABLE_260901)))))) (let ((_let_15072 (forall ((BOUND_VARIABLE_414618 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414617 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_260892 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11515 BOUND_VARIABLE_414618) BOUND_VARIABLE_414617) BOUND_VARIABLE_260892) (ho_4855 BOUND_VARIABLE_414618 (ho_4855 BOUND_VARIABLE_414617 BOUND_VARIABLE_260892)))))) (let ((_let_15073 (forall ((BOUND_VARIABLE_414634 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414633 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414632 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260881 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 (ho_10945 k_11516 BOUND_VARIABLE_414634) BOUND_VARIABLE_414633) BOUND_VARIABLE_414632) BOUND_VARIABLE_260881) (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_414634) BOUND_VARIABLE_414633) (ho_4914 BOUND_VARIABLE_414632 BOUND_VARIABLE_260881)))))) (let ((_let_15074 (forall ((BOUND_VARIABLE_414651 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414650 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_260871 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11517 BOUND_VARIABLE_414651) BOUND_VARIABLE_414650) BOUND_VARIABLE_260871) (ho_4855 BOUND_VARIABLE_414651 (ho_4855 BOUND_VARIABLE_414650 BOUND_VARIABLE_260871)))))) (let ((_let_15075 (forall ((BOUND_VARIABLE_414667 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_414666 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_414665 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260860 tptp.nat)) (= (ho_4593 (ho_5216 (ho_11520 (ho_11519 k_11518 BOUND_VARIABLE_414667) BOUND_VARIABLE_414666) BOUND_VARIABLE_414665) BOUND_VARIABLE_260860) (ho_5235 (ho_11138 (ho_11137 k_11521 BOUND_VARIABLE_414667) BOUND_VARIABLE_414666) (ho_4593 BOUND_VARIABLE_414665 BOUND_VARIABLE_260860)))))) (let ((_let_15076 (forall ((BOUND_VARIABLE_414693 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414692 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_260850 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11522 BOUND_VARIABLE_414693) BOUND_VARIABLE_414692) BOUND_VARIABLE_260850) (ho_4855 BOUND_VARIABLE_414693 (ho_4855 BOUND_VARIABLE_414692 BOUND_VARIABLE_260850)))))) (let ((_let_15077 (forall ((BOUND_VARIABLE_414707 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414706 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260841 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11523 BOUND_VARIABLE_414707) BOUND_VARIABLE_414706) BOUND_VARIABLE_260841) (ho_6671 BOUND_VARIABLE_414707 (ho_4891 BOUND_VARIABLE_414706 BOUND_VARIABLE_260841)))))) (let ((_let_15078 (forall ((BOUND_VARIABLE_414721 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_414720 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_260832 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11524 BOUND_VARIABLE_414721) BOUND_VARIABLE_414720) BOUND_VARIABLE_260832) (ho_6671 BOUND_VARIABLE_414721 (ho_4891 BOUND_VARIABLE_414720 BOUND_VARIABLE_260832)))))) (let ((_let_15079 (forall ((BOUND_VARIABLE_414737 |u_(-> tptp.num tptp.nat)|) (BOUND_VARIABLE_414736 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_414735 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260821 tptp.int)) (= (ho_4891 (ho_6929 (ho_11527 (ho_11526 k_11525 BOUND_VARIABLE_414737) BOUND_VARIABLE_414736) BOUND_VARIABLE_414735) BOUND_VARIABLE_260821) (ho_4891 (ho_11530 (ho_11529 k_11528 BOUND_VARIABLE_414737) BOUND_VARIABLE_414736) (ho_4914 BOUND_VARIABLE_414735 BOUND_VARIABLE_260821)))))) (let ((_let_15080 (forall ((BOUND_VARIABLE_414771 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414770 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260811 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11531 BOUND_VARIABLE_414771) BOUND_VARIABLE_414770) BOUND_VARIABLE_260811) (ho_5235 BOUND_VARIABLE_414771 (ho_4593 BOUND_VARIABLE_414770 BOUND_VARIABLE_260811)))))) (let ((_let_15081 (forall ((BOUND_VARIABLE_414787 |u_(-> Bool tptp.nat)|) (BOUND_VARIABLE_414786 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_414785 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_260800 tptp.nat)) (= (ho_4855 (ho_6932 (ho_10537 (ho_10536 k_11532 BOUND_VARIABLE_414787) BOUND_VARIABLE_414786) BOUND_VARIABLE_414785) BOUND_VARIABLE_260800) (ho_4855 (ho_10540 (ho_10539 k_10538 BOUND_VARIABLE_414787) BOUND_VARIABLE_414786) (ho_4855 BOUND_VARIABLE_414785 BOUND_VARIABLE_260800)))))) (let ((_let_15082 (forall ((BOUND_VARIABLE_414804 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414803 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260790 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11533 BOUND_VARIABLE_414804) BOUND_VARIABLE_414803) BOUND_VARIABLE_260790) (ho_5235 BOUND_VARIABLE_414804 (ho_4593 BOUND_VARIABLE_414803 BOUND_VARIABLE_260790)))))) (let ((_let_15083 (forall ((BOUND_VARIABLE_414818 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414817 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260781 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11534 BOUND_VARIABLE_414818) BOUND_VARIABLE_414817) BOUND_VARIABLE_260781) (ho_5235 BOUND_VARIABLE_414818 (ho_4593 BOUND_VARIABLE_414817 BOUND_VARIABLE_260781)))))) (let ((_let_15084 (forall ((BOUND_VARIABLE_414834 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414833 |u_(-> Bool Bool)|) (BOUND_VARIABLE_414832 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_260770 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11535 BOUND_VARIABLE_414834) BOUND_VARIABLE_414833) BOUND_VARIABLE_414832) BOUND_VARIABLE_260770) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_414834) BOUND_VARIABLE_414833) (ho_4593 BOUND_VARIABLE_414832 BOUND_VARIABLE_260770)))))) (let ((_let_15085 (forall ((BOUND_VARIABLE_414853 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414852 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_414851 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260759 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11536 BOUND_VARIABLE_414853) BOUND_VARIABLE_414852) BOUND_VARIABLE_414851) BOUND_VARIABLE_260759) (ho_4891 BOUND_VARIABLE_414853 (ho_4914 BOUND_VARIABLE_414852 (ho_4914 BOUND_VARIABLE_414851 BOUND_VARIABLE_260759))))))) (let ((_let_15086 (forall ((BOUND_VARIABLE_414871 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414870 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_414869 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260748 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11537 BOUND_VARIABLE_414871) BOUND_VARIABLE_414870) BOUND_VARIABLE_414869) BOUND_VARIABLE_260748) (ho_4891 BOUND_VARIABLE_414871 (ho_4914 BOUND_VARIABLE_414870 (ho_4914 BOUND_VARIABLE_414869 BOUND_VARIABLE_260748))))))) (let ((_let_15087 (forall ((BOUND_VARIABLE_414889 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414888 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_414887 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_260736 tptp.nat)) (= (ho_4855 (ho_6932 (ho_11540 (ho_11539 k_11538 BOUND_VARIABLE_414889) BOUND_VARIABLE_414888) BOUND_VARIABLE_414887) BOUND_VARIABLE_260736) (ho_4855 (ho_6789 (ho_6788 k_11541 BOUND_VARIABLE_414889) BOUND_VARIABLE_414888) (ho_4855 BOUND_VARIABLE_414887 BOUND_VARIABLE_260736)))))) (let ((_let_15088 (forall ((BOUND_VARIABLE_414915 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414914 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260726 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11542 BOUND_VARIABLE_414915) BOUND_VARIABLE_414914) BOUND_VARIABLE_260726) (ho_4891 BOUND_VARIABLE_414915 (ho_4914 BOUND_VARIABLE_414914 BOUND_VARIABLE_260726)))))) (let ((_let_15089 (forall ((BOUND_VARIABLE_414929 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414928 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_260717 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11543 BOUND_VARIABLE_414929) BOUND_VARIABLE_414928) BOUND_VARIABLE_260717) (ho_4891 BOUND_VARIABLE_414929 (ho_4914 BOUND_VARIABLE_414928 BOUND_VARIABLE_260717)))))) (let ((_let_15090 (forall ((BOUND_VARIABLE_414945 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_414944 |u_(-> tptp.nat tptp.int)|) (BOUND_VARIABLE_414943 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_260706 tptp.nat)) (= (ho_4855 (ho_6932 (ho_11540 (ho_11539 k_11544 BOUND_VARIABLE_414945) BOUND_VARIABLE_414944) BOUND_VARIABLE_414943) BOUND_VARIABLE_260706) (ho_4855 (ho_6789 (ho_6788 k_11541 BOUND_VARIABLE_414945) BOUND_VARIABLE_414944) (ho_4855 BOUND_VARIABLE_414943 BOUND_VARIABLE_260706)))))) (let ((_let_15091 (forall ((BOUND_VARIABLE_414961 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_414960 |u_(-> tptp.nat tptp.nat)|)) (= (ho_10399 (ho_11546 k_11545 BOUND_VARIABLE_414961) BOUND_VARIABLE_414960) (= BOUND_VARIABLE_414960 BOUND_VARIABLE_414961))))) (let ((_let_15092 (forall ((BOUND_VARIABLE_414978 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_414974 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_414973 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_414978) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_414974) BOUND_VARIABLE_414973) k_6618)) (ho_9729 (ho_9728 (ho_11548 k_11547 BOUND_VARIABLE_414978) BOUND_VARIABLE_414974) BOUND_VARIABLE_414973))))) (let ((_let_15093 (forall ((BOUND_VARIABLE_415000 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_414996 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_414995 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_415000) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_414996) BOUND_VARIABLE_414995) k_6619)) (ho_9729 (ho_9728 (ho_11548 k_11549 BOUND_VARIABLE_415000) BOUND_VARIABLE_414996) BOUND_VARIABLE_414995))))) (let ((_let_15094 (forall ((BOUND_VARIABLE_415017 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_415015 |u_(-> tptp.nat tptp.num)|)) (= (ho_11552 (ho_11551 k_11550 BOUND_VARIABLE_415017) BOUND_VARIABLE_415015) (= BOUND_VARIABLE_415015 BOUND_VARIABLE_415017))))) (let ((_let_15095 (forall ((BOUND_VARIABLE_415038 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_415034 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_415033 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_415038) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_415034) BOUND_VARIABLE_415033) k_6620)) (ho_9729 (ho_9728 (ho_11548 k_11553 BOUND_VARIABLE_415038) BOUND_VARIABLE_415034) BOUND_VARIABLE_415033))))) (let ((_let_15096 (forall ((BOUND_VARIABLE_260631 tptp.num) (BOUND_VARIABLE_260632 tptp.num)) (= (= BOUND_VARIABLE_260631 BOUND_VARIABLE_260632) (ho_6266 (ho_6623 k_11554 BOUND_VARIABLE_260631) BOUND_VARIABLE_260632))))) (let ((_let_15097 (forall ((BOUND_VARIABLE_415061 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_415060 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_11556 k_11555 BOUND_VARIABLE_415061) BOUND_VARIABLE_415060) (= BOUND_VARIABLE_415060 BOUND_VARIABLE_415061))))) (let ((_let_15098 (forall ((BOUND_VARIABLE_260617 tptp.int) (BOUND_VARIABLE_260618 tptp.int)) (= (= BOUND_VARIABLE_260617 BOUND_VARIABLE_260618) (ho_5218 (ho_5250 k_11557 BOUND_VARIABLE_260617) BOUND_VARIABLE_260618))))) (let ((_let_15099 (forall ((BOUND_VARIABLE_415085 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_415081 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_415080 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_415085) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_415081) BOUND_VARIABLE_415080) k_6621)) (ho_9729 (ho_9728 (ho_11548 k_11558 BOUND_VARIABLE_415085) BOUND_VARIABLE_415081) BOUND_VARIABLE_415080))))) (let ((_let_15100 (forall ((BOUND_VARIABLE_415102 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_415100 |u_(-> tptp.num tptp.num)|)) (= (ho_11561 (ho_11560 k_11559 BOUND_VARIABLE_415102) BOUND_VARIABLE_415100) (= BOUND_VARIABLE_415100 BOUND_VARIABLE_415102))))) (let ((_let_15101 (forall ((BOUND_VARIABLE_415123 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415119 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415118 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_415123) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415119) BOUND_VARIABLE_415118) k_6622)) (ho_9762 (ho_9761 (ho_11563 k_11562 BOUND_VARIABLE_415123) BOUND_VARIABLE_415119) BOUND_VARIABLE_415118))))) (let ((_let_15102 (forall ((BOUND_VARIABLE_415145 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415141 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415140 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_415145) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415141) BOUND_VARIABLE_415140) k_6624)) (ho_9762 (ho_9761 (ho_11563 k_11564 BOUND_VARIABLE_415145) BOUND_VARIABLE_415141) BOUND_VARIABLE_415140))))) (let ((_let_15103 (forall ((BOUND_VARIABLE_415161 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_415160 |u_(-> tptp.num tptp.num)|)) (= (ho_11561 (ho_11560 k_11565 BOUND_VARIABLE_415161) BOUND_VARIABLE_415160) (= BOUND_VARIABLE_415160 BOUND_VARIABLE_415161))))) (let ((_let_15104 (forall ((BOUND_VARIABLE_415174 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415170 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415169 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_415174) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415170) BOUND_VARIABLE_415169) k_6625)) (ho_9757 (ho_9756 (ho_11567 k_11566 BOUND_VARIABLE_415174) BOUND_VARIABLE_415170) BOUND_VARIABLE_415169))))) (let ((_let_15105 (forall ((BOUND_VARIABLE_415196 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415192 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415191 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_415196) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415192) BOUND_VARIABLE_415191) k_6626)) (ho_9757 (ho_9756 (ho_11567 k_11568 BOUND_VARIABLE_415196) BOUND_VARIABLE_415192) BOUND_VARIABLE_415191))))) (let ((_let_15106 (forall ((BOUND_VARIABLE_415212 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_415211 |u_(-> tptp.nat tptp.num)|)) (= (ho_11552 (ho_11551 k_11569 BOUND_VARIABLE_415212) BOUND_VARIABLE_415211) (= BOUND_VARIABLE_415211 BOUND_VARIABLE_415212))))) (let ((_let_15107 (forall ((BOUND_VARIABLE_260504 tptp.nat) (BOUND_VARIABLE_260505 tptp.nat)) (= (= BOUND_VARIABLE_260504 BOUND_VARIABLE_260505) (ho_4593 (ho_4511 k_11570 BOUND_VARIABLE_260504) BOUND_VARIABLE_260505))))) (let ((_let_15108 (forall ((BOUND_VARIABLE_415232 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415228 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415227 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_415232) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415228) BOUND_VARIABLE_415227) k_6627)) (ho_9762 (ho_9761 (ho_11563 k_11571 BOUND_VARIABLE_415232) BOUND_VARIABLE_415228) BOUND_VARIABLE_415227))))) (let ((_let_15109 (forall ((BOUND_VARIABLE_415248 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_415247 |u_(-> tptp.nat tptp.num)|)) (= (ho_11552 (ho_11551 k_11572 BOUND_VARIABLE_415248) BOUND_VARIABLE_415247) (= BOUND_VARIABLE_415247 BOUND_VARIABLE_415248))))) (let ((_let_15110 (forall ((BOUND_VARIABLE_260473 tptp.nat) (BOUND_VARIABLE_260474 tptp.nat)) (= (= BOUND_VARIABLE_260473 BOUND_VARIABLE_260474) (ho_4593 (ho_4511 k_11573 BOUND_VARIABLE_260473) BOUND_VARIABLE_260474))))) (let ((_let_15111 (forall ((BOUND_VARIABLE_415268 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415264 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415263 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_415268) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415264) BOUND_VARIABLE_415263) k_6628)) (ho_9757 (ho_9756 (ho_11567 k_11574 BOUND_VARIABLE_415268) BOUND_VARIABLE_415264) BOUND_VARIABLE_415263))))) (let ((_let_15112 (forall ((BOUND_VARIABLE_415284 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_415283 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_11556 k_11575 BOUND_VARIABLE_415284) BOUND_VARIABLE_415283) (= BOUND_VARIABLE_415283 BOUND_VARIABLE_415284))))) (let ((_let_15113 (forall ((BOUND_VARIABLE_260442 tptp.int) (BOUND_VARIABLE_260443 tptp.int)) (= (= BOUND_VARIABLE_260442 BOUND_VARIABLE_260443) (ho_5218 (ho_5250 k_11576 BOUND_VARIABLE_260442) BOUND_VARIABLE_260443))))) (let ((_let_15114 (forall ((BOUND_VARIABLE_260435 tptp.nat) (BOUND_VARIABLE_260436 tptp.nat)) (= (= BOUND_VARIABLE_260435 BOUND_VARIABLE_260436) (ho_4593 (ho_4511 k_11577 BOUND_VARIABLE_260435) BOUND_VARIABLE_260436))))) (let ((_let_15115 (forall ((BOUND_VARIABLE_415309 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_415308 |u_(-> tptp.nat tptp.nat)|)) (= (ho_10399 (ho_11546 k_11578 BOUND_VARIABLE_415309) BOUND_VARIABLE_415308) (= BOUND_VARIABLE_415308 BOUND_VARIABLE_415309))))) (let ((_let_15116 (forall ((BOUND_VARIABLE_260421 tptp.nat) (BOUND_VARIABLE_260422 tptp.nat)) (= (= BOUND_VARIABLE_260421 BOUND_VARIABLE_260422) (ho_4593 (ho_4511 k_11579 BOUND_VARIABLE_260421) BOUND_VARIABLE_260422))))) (let ((_let_15117 (forall ((BOUND_VARIABLE_260414 tptp.nat) (BOUND_VARIABLE_260415 tptp.nat)) (= (= BOUND_VARIABLE_260414 BOUND_VARIABLE_260415) (ho_4593 (ho_4511 k_11580 BOUND_VARIABLE_260414) BOUND_VARIABLE_260415))))) (let ((_let_15118 (forall ((BOUND_VARIABLE_415335 |u_(-> Bool Bool)|) (BOUND_VARIABLE_415333 |u_(-> Bool Bool)|)) (= (ho_11583 (ho_11582 k_11581 BOUND_VARIABLE_415335) BOUND_VARIABLE_415333) (= BOUND_VARIABLE_415333 BOUND_VARIABLE_415335))))) (let ((_let_15119 (forall ((BOUND_VARIABLE_260400 Bool) (BOUND_VARIABLE_260401 Bool)) (= (= BOUND_VARIABLE_260400 BOUND_VARIABLE_260401) (ho_5235 (ho_6701 k_11584 BOUND_VARIABLE_260400) BOUND_VARIABLE_260401))))) (let ((_let_15120 (forall ((BOUND_VARIABLE_260393 Bool) (BOUND_VARIABLE_260394 Bool)) (= (= BOUND_VARIABLE_260393 BOUND_VARIABLE_260394) (ho_5235 (ho_6701 k_11585 BOUND_VARIABLE_260393) BOUND_VARIABLE_260394))))) (let ((_let_15121 (forall ((BOUND_VARIABLE_415370 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_415369 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_260378 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260379 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11586 BOUND_VARIABLE_415370) BOUND_VARIABLE_415369) BOUND_VARIABLE_260378) BOUND_VARIABLE_260379) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_415370 BOUND_VARIABLE_260378) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_415369 B4) BOUND_VARIABLE_260379))))))))) (let ((_let_15122 (forall ((BOUND_VARIABLE_415393 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_415392 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_260361 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260362 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11587 BOUND_VARIABLE_415393) BOUND_VARIABLE_415392) BOUND_VARIABLE_260361) BOUND_VARIABLE_260362) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_415393 BOUND_VARIABLE_260361) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_415392 B4) BOUND_VARIABLE_260362))))))))) (let ((_let_15123 (forall ((BOUND_VARIABLE_415416 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415415 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_260344 tptp.int) (BOUND_VARIABLE_260345 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11588 BOUND_VARIABLE_415416) BOUND_VARIABLE_415415) BOUND_VARIABLE_260344) BOUND_VARIABLE_260345) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_415416 BOUND_VARIABLE_260344) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_415415 B4) BOUND_VARIABLE_260345))))))))) (let ((_let_15124 (forall ((BOUND_VARIABLE_415439 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_415438 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_260327 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260328 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11589 BOUND_VARIABLE_415439) BOUND_VARIABLE_415438) BOUND_VARIABLE_260327) BOUND_VARIABLE_260328) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_415439 BOUND_VARIABLE_260327) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_415438 B4) BOUND_VARIABLE_260328))))))))) (let ((_let_15125 (forall ((BOUND_VARIABLE_415462 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_415461 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_260310 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260311 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11590 BOUND_VARIABLE_415462) BOUND_VARIABLE_415461) BOUND_VARIABLE_260310) BOUND_VARIABLE_260311) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_415462 BOUND_VARIABLE_260310) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_415461 B4) BOUND_VARIABLE_260311))))))))) (let ((_let_15126 (forall ((BOUND_VARIABLE_415485 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415484 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_260293 tptp.int) (BOUND_VARIABLE_260294 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11591 BOUND_VARIABLE_415485) BOUND_VARIABLE_415484) BOUND_VARIABLE_260293) BOUND_VARIABLE_260294) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_415485 BOUND_VARIABLE_260293) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_415484 B4) BOUND_VARIABLE_260294))))))))) (let ((_let_15127 (forall ((BOUND_VARIABLE_415510 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_415509 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_415508 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_415507 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_11592 BOUND_VARIABLE_415510) BOUND_VARIABLE_415509) BOUND_VARIABLE_415508) BOUND_VARIABLE_415507) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_415510) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_415508) BOUND_VARIABLE_415507) BOUND_VARIABLE_415509)))))) (let ((_let_15128 (forall ((BOUND_VARIABLE_415534 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_415533 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_415525 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_415524 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_415529 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_415528 |u_(-> tptp.int tptp.nat)|)) (= (ho_9722 (ho_9721 k_9720 (ho_6483 (ho_6482 k_6629 BOUND_VARIABLE_415534) BOUND_VARIABLE_415533)) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_415529) BOUND_VARIABLE_415528) (ho_9715 (ho_9714 k_9713 BOUND_VARIABLE_415525) BOUND_VARIABLE_415524))) (ho_9729 (ho_9728 (ho_9727 (ho_9726 (ho_9725 (ho_9724 k_11593 BOUND_VARIABLE_415534) BOUND_VARIABLE_415533) BOUND_VARIABLE_415525) BOUND_VARIABLE_415524) BOUND_VARIABLE_415529) BOUND_VARIABLE_415528))))) (let ((_let_15129 (forall ((BOUND_VARIABLE_415562 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_415561 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_415560 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_415559 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9731 k_11594 BOUND_VARIABLE_415562) BOUND_VARIABLE_415561) BOUND_VARIABLE_415560) BOUND_VARIABLE_415559) (ho_9722 (ho_9721 k_9720 BOUND_VARIABLE_415562) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_415560) BOUND_VARIABLE_415559) BOUND_VARIABLE_415561)))))) (let ((_let_15130 (forall ((BOUND_VARIABLE_415587 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_415586 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415585 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_415584 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_415583 |u_(-> tptp.product_prod_nat_nat tptp.nat)|) (BOUND_VARIABLE_415582 |u_(-> tptp.int tptp.nat)|)) (= (ho_9729 (ho_9728 (ho_9727 (ho_9726 (ho_9734 (ho_9733 k_11595 BOUND_VARIABLE_415587) BOUND_VARIABLE_415586) BOUND_VARIABLE_415585) BOUND_VARIABLE_415584) BOUND_VARIABLE_415583) BOUND_VARIABLE_415582) (ho_9722 (ho_9721 k_9720 (ho_9737 (ho_9736 k_9735 BOUND_VARIABLE_415587) BOUND_VARIABLE_415586)) (ho_9719 (ho_9718 (ho_9717 k_9716 BOUND_VARIABLE_415583) BOUND_VARIABLE_415582) (ho_9715 (ho_9714 k_9713 BOUND_VARIABLE_415585) BOUND_VARIABLE_415584))))))) (let ((_let_15131 (forall ((BOUND_VARIABLE_415612 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415611 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_260184 tptp.int) (BOUND_VARIABLE_260185 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11596 BOUND_VARIABLE_415612) BOUND_VARIABLE_415611) BOUND_VARIABLE_260184) BOUND_VARIABLE_260185) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_415612 BOUND_VARIABLE_260184) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_415611 B4) BOUND_VARIABLE_260185))))))))) (let ((_let_15132 (forall ((BOUND_VARIABLE_415635 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415634 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_260167 tptp.int) (BOUND_VARIABLE_260168 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11597 BOUND_VARIABLE_415635) BOUND_VARIABLE_415634) BOUND_VARIABLE_260167) BOUND_VARIABLE_260168) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_415635 BOUND_VARIABLE_260167) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_415634 B4) BOUND_VARIABLE_260168))))))))) (let ((_let_15133 (forall ((BOUND_VARIABLE_415660 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415659 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415658 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415657 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_11598 BOUND_VARIABLE_415660) BOUND_VARIABLE_415659) BOUND_VARIABLE_415658) BOUND_VARIABLE_415657) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_415660) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415658) BOUND_VARIABLE_415657) BOUND_VARIABLE_415659)))))) (let ((_let_15134 (forall ((BOUND_VARIABLE_415681 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415680 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415679 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415678 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_11599 BOUND_VARIABLE_415681) BOUND_VARIABLE_415680) BOUND_VARIABLE_415679) BOUND_VARIABLE_415678) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_415681) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415679) BOUND_VARIABLE_415678) BOUND_VARIABLE_415680)))))) (let ((_let_15135 (forall ((BOUND_VARIABLE_415705 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415704 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415696 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415695 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415700 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415699 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9750 (ho_9749 k_9748 (ho_6487 (ho_6486 k_6630 BOUND_VARIABLE_415705) BOUND_VARIABLE_415704)) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415700) BOUND_VARIABLE_415699) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_415696) BOUND_VARIABLE_415695))) (ho_9757 (ho_9756 (ho_9755 (ho_9754 (ho_9753 (ho_9752 k_11600 BOUND_VARIABLE_415705) BOUND_VARIABLE_415704) BOUND_VARIABLE_415696) BOUND_VARIABLE_415695) BOUND_VARIABLE_415700) BOUND_VARIABLE_415699))))) (let ((_let_15136 (forall ((BOUND_VARIABLE_415733 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415732 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415731 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415730 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_11601 BOUND_VARIABLE_415733) BOUND_VARIABLE_415732) BOUND_VARIABLE_415731) BOUND_VARIABLE_415730) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_415733) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415731) BOUND_VARIABLE_415730) BOUND_VARIABLE_415732)))))) (let ((_let_15137 (forall ((BOUND_VARIABLE_415754 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415753 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415752 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415751 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9759 k_11602 BOUND_VARIABLE_415754) BOUND_VARIABLE_415753) BOUND_VARIABLE_415752) BOUND_VARIABLE_415751) (ho_9769 (ho_9768 k_9767 BOUND_VARIABLE_415754) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415752) BOUND_VARIABLE_415751) BOUND_VARIABLE_415753)))))) (let ((_let_15138 (forall ((BOUND_VARIABLE_415779 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415778 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415777 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415776 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415775 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415774 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9775 (ho_9774 (ho_9773 k_11603 BOUND_VARIABLE_415779) BOUND_VARIABLE_415778) BOUND_VARIABLE_415777) BOUND_VARIABLE_415776) BOUND_VARIABLE_415775) BOUND_VARIABLE_415774) (ho_9769 (ho_9768 k_9767 (ho_7125 (ho_7124 k_9776 BOUND_VARIABLE_415779) BOUND_VARIABLE_415778)) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415775) BOUND_VARIABLE_415774) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_415777) BOUND_VARIABLE_415776))))))) (let ((_let_15139 (forall ((BOUND_VARIABLE_415806 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415805 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415804 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415803 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_11604 BOUND_VARIABLE_415806) BOUND_VARIABLE_415805) BOUND_VARIABLE_415804) BOUND_VARIABLE_415803) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_415806) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415804) BOUND_VARIABLE_415803) BOUND_VARIABLE_415805)))))) (let ((_let_15140 (forall ((BOUND_VARIABLE_415831 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415830 |u_(-> tptp.code_integer tptp.int Bool)|) (BOUND_VARIABLE_415829 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415828 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415827 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415826 |u_(-> tptp.int tptp.num)|)) (= (ho_9762 (ho_9761 (ho_9760 (ho_9775 (ho_9782 (ho_9781 k_11605 BOUND_VARIABLE_415831) BOUND_VARIABLE_415830) BOUND_VARIABLE_415829) BOUND_VARIABLE_415828) BOUND_VARIABLE_415827) BOUND_VARIABLE_415826) (ho_9769 (ho_9768 k_9767 (ho_9785 (ho_9784 k_9783 BOUND_VARIABLE_415831) BOUND_VARIABLE_415830)) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_415827) BOUND_VARIABLE_415826) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_415829) BOUND_VARIABLE_415828))))))) (let ((_let_15141 (forall ((BOUND_VARIABLE_415858 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415857 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415856 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415855 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_11606 BOUND_VARIABLE_415858) BOUND_VARIABLE_415857) BOUND_VARIABLE_415856) BOUND_VARIABLE_415855) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_415858) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415856) BOUND_VARIABLE_415855) BOUND_VARIABLE_415857)))))) (let ((_let_15142 (forall ((BOUND_VARIABLE_415883 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_415882 |u_(-> tptp.code_integer tptp.code_integer Bool)|) (BOUND_VARIABLE_415881 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415880 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_415879 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_415878 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9754 (ho_9789 (ho_9788 k_11607 BOUND_VARIABLE_415883) BOUND_VARIABLE_415882) BOUND_VARIABLE_415881) BOUND_VARIABLE_415880) BOUND_VARIABLE_415879) BOUND_VARIABLE_415878) (ho_9750 (ho_9749 k_9748 (ho_9792 (ho_9791 k_9790 BOUND_VARIABLE_415883) BOUND_VARIABLE_415882)) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_415879) BOUND_VARIABLE_415878) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_415881) BOUND_VARIABLE_415880))))))) (let ((_let_15143 (forall ((BOUND_VARIABLE_415908 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415907 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259968 tptp.int) (BOUND_VARIABLE_259969 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11608 BOUND_VARIABLE_415908) BOUND_VARIABLE_415907) BOUND_VARIABLE_259968) BOUND_VARIABLE_259969) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_415908 BOUND_VARIABLE_259968) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_415907 B4) BOUND_VARIABLE_259969))))))))) (let ((_let_15144 (forall ((BOUND_VARIABLE_415937 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_415936 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415935 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_415934 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_415933 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259945 tptp.int) (BOUND_VARIABLE_259946 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_10707 (ho_10706 (ho_10705 (ho_10704 k_11609 BOUND_VARIABLE_415937) BOUND_VARIABLE_415936) BOUND_VARIABLE_415935) BOUND_VARIABLE_415934) BOUND_VARIABLE_415933) BOUND_VARIABLE_259945) BOUND_VARIABLE_259946) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 (ho_10711 (ho_10710 k_10709 BOUND_VARIABLE_415937) BOUND_VARIABLE_415935) BOUND_VARIABLE_415936) BOUND_VARIABLE_259945) B4)) (not (ho_6488 (ho_6484 (ho_6487 (ho_10707 (ho_10706 k_10708 BOUND_VARIABLE_415935) BOUND_VARIABLE_415934) BOUND_VARIABLE_415933) B4) BOUND_VARIABLE_259946))))))))) (let ((_let_15145 (forall ((BOUND_VARIABLE_415969 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415968 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259925 tptp.int) (BOUND_VARIABLE_259926 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11610 BOUND_VARIABLE_415969) BOUND_VARIABLE_415968) BOUND_VARIABLE_259925) BOUND_VARIABLE_259926) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_415969 BOUND_VARIABLE_259925) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_415968 B4) BOUND_VARIABLE_259926))))))))) (let ((_let_15146 (forall ((BOUND_VARIABLE_415998 |u_(-> tptp.product_prod_nat_nat tptp.int)|) (BOUND_VARIABLE_415997 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_415996 |u_(-> tptp.product_prod_nat_nat tptp.int)|) (BOUND_VARIABLE_415995 |u_(-> tptp.int tptp.code_integer)|) (BOUND_VARIABLE_415994 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259902 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259903 tptp.int)) (= (ho_5218 (ho_5383 (ho_10719 (ho_10718 (ho_10717 (ho_10716 (ho_10715 k_11611 BOUND_VARIABLE_415998) BOUND_VARIABLE_415997) BOUND_VARIABLE_415996) BOUND_VARIABLE_415995) BOUND_VARIABLE_415994) BOUND_VARIABLE_259902) BOUND_VARIABLE_259903) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_10724 (ho_10723 (ho_10722 k_10721 BOUND_VARIABLE_415998) BOUND_VARIABLE_415996) BOUND_VARIABLE_415997) BOUND_VARIABLE_259902) B4)) (not (ho_5218 (ho_5383 (ho_10719 (ho_10718 (ho_10717 k_10720 BOUND_VARIABLE_415996) BOUND_VARIABLE_415995) BOUND_VARIABLE_415994) B4) BOUND_VARIABLE_259903))))))))) (let ((_let_15147 (forall ((BOUND_VARIABLE_416030 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_416029 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259882 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259883 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11612 BOUND_VARIABLE_416030) BOUND_VARIABLE_416029) BOUND_VARIABLE_259882) BOUND_VARIABLE_259883) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_416030 BOUND_VARIABLE_259882) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_416029 B4) BOUND_VARIABLE_259883))))))))) (let ((_let_15148 (forall ((BOUND_VARIABLE_416060 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_416057 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_416050 |u_(-> tptp.int tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_416049 |u_(-> tptp.code_integer tptp.int)|) (BOUND_VARIABLE_416048 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259819 tptp.int) (BOUND_VARIABLE_259820 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_6594 (ho_6593 k_6592 (ho_5386 (ho_5385 k_5384 tptp.top_top_set_int) BOUND_VARIABLE_416060)) (ho_5382 (ho_5381 k_6631 BOUND_VARIABLE_416057) BOUND_VARIABLE_416050)) BOUND_VARIABLE_259819) B4)) (not (ho_6488 (ho_6484 (ho_10730 (ho_10729 (ho_10728 k_10727 BOUND_VARIABLE_416050) BOUND_VARIABLE_416049) BOUND_VARIABLE_416048) B4) BOUND_VARIABLE_259820))))) (ho_6488 (ho_6484 (ho_10730 (ho_10729 (ho_10728 (ho_11615 (ho_11614 k_11613 BOUND_VARIABLE_416060) BOUND_VARIABLE_416057) BOUND_VARIABLE_416050) BOUND_VARIABLE_416049) BOUND_VARIABLE_416048) BOUND_VARIABLE_259819) BOUND_VARIABLE_259820))))) (let ((_let_15149 (forall ((BOUND_VARIABLE_416101 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_416100 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259799 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259800 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11616 BOUND_VARIABLE_416101) BOUND_VARIABLE_416100) BOUND_VARIABLE_259799) BOUND_VARIABLE_259800) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_416101 BOUND_VARIABLE_259799) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_416100 B4) BOUND_VARIABLE_259800))))))))) (let ((_let_15150 (forall ((BOUND_VARIABLE_416130 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_416129 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_416128 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_416127 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_416126 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259776 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259777 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_10740 (ho_10739 (ho_10738 (ho_10737 k_11617 BOUND_VARIABLE_416130) BOUND_VARIABLE_416129) BOUND_VARIABLE_416128) BOUND_VARIABLE_416127) BOUND_VARIABLE_416126) BOUND_VARIABLE_259776) BOUND_VARIABLE_259777) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 (ho_10744 (ho_10743 k_10742 BOUND_VARIABLE_416130) BOUND_VARIABLE_416128) BOUND_VARIABLE_416129) BOUND_VARIABLE_259776) B4)) (not (ho_5218 (ho_5383 (ho_6483 (ho_10740 (ho_10739 k_10741 BOUND_VARIABLE_416128) BOUND_VARIABLE_416127) BOUND_VARIABLE_416126) B4) BOUND_VARIABLE_259777))))))))) (let ((_let_15151 (forall ((BOUND_VARIABLE_416162 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416161 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259762 tptp.code_integer) (BOUND_VARIABLE_259763 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11618 BOUND_VARIABLE_416162) BOUND_VARIABLE_416161) BOUND_VARIABLE_259762) BOUND_VARIABLE_259763) (ho_5405 (ho_5413 BOUND_VARIABLE_416162 (ho_5398 BOUND_VARIABLE_416161 BOUND_VARIABLE_259762)) BOUND_VARIABLE_259763))))) (let ((_let_15152 (forall ((BOUND_VARIABLE_416179 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416178 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259751 tptp.code_integer) (BOUND_VARIABLE_259752 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11619 BOUND_VARIABLE_416179) BOUND_VARIABLE_416178) BOUND_VARIABLE_259751) BOUND_VARIABLE_259752) (ho_5405 (ho_5413 BOUND_VARIABLE_416179 (ho_5398 BOUND_VARIABLE_416178 BOUND_VARIABLE_259751)) BOUND_VARIABLE_259752))))) (let ((_let_15153 (forall ((BOUND_VARIABLE_416195 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416194 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259742 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11620 BOUND_VARIABLE_416195) BOUND_VARIABLE_416194) BOUND_VARIABLE_259742) (ho_4891 BOUND_VARIABLE_416195 (ho_4914 BOUND_VARIABLE_416194 BOUND_VARIABLE_259742)))))) (let ((_let_15154 (forall ((BOUND_VARIABLE_416209 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416208 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259733 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11621 BOUND_VARIABLE_416209) BOUND_VARIABLE_416208) BOUND_VARIABLE_259733) (ho_4891 BOUND_VARIABLE_416209 (ho_4914 BOUND_VARIABLE_416208 BOUND_VARIABLE_259733)))))) (let ((_let_15155 (forall ((BOUND_VARIABLE_416223 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416222 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259724 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11622 BOUND_VARIABLE_416223) BOUND_VARIABLE_416222) BOUND_VARIABLE_259724) (ho_4855 BOUND_VARIABLE_416223 (ho_4855 BOUND_VARIABLE_416222 BOUND_VARIABLE_259724)))))) (let ((_let_15156 (forall ((BOUND_VARIABLE_416237 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416236 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259715 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11623 BOUND_VARIABLE_416237) BOUND_VARIABLE_416236) BOUND_VARIABLE_259715) (ho_4855 BOUND_VARIABLE_416237 (ho_4855 BOUND_VARIABLE_416236 BOUND_VARIABLE_259715)))))) (let ((_let_15157 (forall ((BOUND_VARIABLE_416251 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416250 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259706 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11624 BOUND_VARIABLE_416251) BOUND_VARIABLE_416250) BOUND_VARIABLE_259706) (ho_6671 BOUND_VARIABLE_416251 (ho_4891 BOUND_VARIABLE_416250 BOUND_VARIABLE_259706)))))) (let ((_let_15158 (forall ((BOUND_VARIABLE_416265 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416264 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259697 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11625 BOUND_VARIABLE_416265) BOUND_VARIABLE_416264) BOUND_VARIABLE_259697) (ho_6671 BOUND_VARIABLE_416265 (ho_4891 BOUND_VARIABLE_416264 BOUND_VARIABLE_259697)))))) (let ((_let_15159 (forall ((BOUND_VARIABLE_416279 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416278 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259688 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11626 BOUND_VARIABLE_416279) BOUND_VARIABLE_416278) BOUND_VARIABLE_259688) (ho_5235 BOUND_VARIABLE_416279 (ho_4593 BOUND_VARIABLE_416278 BOUND_VARIABLE_259688)))))) (let ((_let_15160 (forall ((BOUND_VARIABLE_416293 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416292 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259679 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11627 BOUND_VARIABLE_416293) BOUND_VARIABLE_416292) BOUND_VARIABLE_259679) (ho_5235 BOUND_VARIABLE_416293 (ho_4593 BOUND_VARIABLE_416292 BOUND_VARIABLE_259679)))))) (let ((_let_15161 (forall ((BOUND_VARIABLE_416308 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416307 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259668 tptp.code_integer) (BOUND_VARIABLE_259669 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11628 BOUND_VARIABLE_416308) BOUND_VARIABLE_416307) BOUND_VARIABLE_259668) BOUND_VARIABLE_259669) (ho_5405 (ho_5413 BOUND_VARIABLE_416308 (ho_5398 BOUND_VARIABLE_416307 BOUND_VARIABLE_259668)) BOUND_VARIABLE_259669))))) (let ((_let_15162 (forall ((BOUND_VARIABLE_416325 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416324 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259657 tptp.code_integer) (BOUND_VARIABLE_259658 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11629 BOUND_VARIABLE_416325) BOUND_VARIABLE_416324) BOUND_VARIABLE_259657) BOUND_VARIABLE_259658) (ho_5405 (ho_5413 BOUND_VARIABLE_416325 (ho_5398 BOUND_VARIABLE_416324 BOUND_VARIABLE_259657)) BOUND_VARIABLE_259658))))) (let ((_let_15163 (forall ((BOUND_VARIABLE_416341 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416340 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259648 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11630 BOUND_VARIABLE_416341) BOUND_VARIABLE_416340) BOUND_VARIABLE_259648) (ho_4891 BOUND_VARIABLE_416341 (ho_4914 BOUND_VARIABLE_416340 BOUND_VARIABLE_259648)))))) (let ((_let_15164 (forall ((BOUND_VARIABLE_416355 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416354 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259639 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11631 BOUND_VARIABLE_416355) BOUND_VARIABLE_416354) BOUND_VARIABLE_259639) (ho_4891 BOUND_VARIABLE_416355 (ho_4914 BOUND_VARIABLE_416354 BOUND_VARIABLE_259639)))))) (let ((_let_15165 (forall ((BOUND_VARIABLE_416369 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416368 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259630 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11632 BOUND_VARIABLE_416369) BOUND_VARIABLE_416368) BOUND_VARIABLE_259630) (ho_4891 BOUND_VARIABLE_416369 (ho_4914 BOUND_VARIABLE_416368 BOUND_VARIABLE_259630)))))) (let ((_let_15166 (forall ((BOUND_VARIABLE_416383 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416382 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259621 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11633 BOUND_VARIABLE_416383) BOUND_VARIABLE_416382) BOUND_VARIABLE_259621) (ho_6671 BOUND_VARIABLE_416383 (ho_4891 BOUND_VARIABLE_416382 BOUND_VARIABLE_259621)))))) (let ((_let_15167 (forall ((BOUND_VARIABLE_416397 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416396 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259612 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11634 BOUND_VARIABLE_416397) BOUND_VARIABLE_416396) BOUND_VARIABLE_259612) (ho_4855 BOUND_VARIABLE_416397 (ho_4855 BOUND_VARIABLE_416396 BOUND_VARIABLE_259612)))))) (let ((_let_15168 (forall ((BOUND_VARIABLE_416411 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416410 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259603 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11635 BOUND_VARIABLE_416411) BOUND_VARIABLE_416410) BOUND_VARIABLE_259603) (ho_4855 BOUND_VARIABLE_416411 (ho_4855 BOUND_VARIABLE_416410 BOUND_VARIABLE_259603)))))) (let ((_let_15169 (forall ((BOUND_VARIABLE_416425 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416424 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259594 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11636 BOUND_VARIABLE_416425) BOUND_VARIABLE_416424) BOUND_VARIABLE_259594) (ho_4855 BOUND_VARIABLE_416425 (ho_4855 BOUND_VARIABLE_416424 BOUND_VARIABLE_259594)))))) (let ((_let_15170 (forall ((BOUND_VARIABLE_416439 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416438 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259585 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11637 BOUND_VARIABLE_416439) BOUND_VARIABLE_416438) BOUND_VARIABLE_259585) (ho_5235 BOUND_VARIABLE_416439 (ho_4593 BOUND_VARIABLE_416438 BOUND_VARIABLE_259585)))))) (let ((_let_15171 (forall ((BOUND_VARIABLE_416453 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416452 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259576 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11638 BOUND_VARIABLE_416453) BOUND_VARIABLE_416452) BOUND_VARIABLE_259576) (ho_6671 BOUND_VARIABLE_416453 (ho_4891 BOUND_VARIABLE_416452 BOUND_VARIABLE_259576)))))) (let ((_let_15172 (forall ((BOUND_VARIABLE_416467 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416466 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259567 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11639 BOUND_VARIABLE_416467) BOUND_VARIABLE_416466) BOUND_VARIABLE_259567) (ho_4891 BOUND_VARIABLE_416467 (ho_4914 BOUND_VARIABLE_416466 BOUND_VARIABLE_259567)))))) (let ((_let_15173 (forall ((BOUND_VARIABLE_416481 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416480 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259558 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11640 BOUND_VARIABLE_416481) BOUND_VARIABLE_416480) BOUND_VARIABLE_259558) (ho_6671 BOUND_VARIABLE_416481 (ho_4891 BOUND_VARIABLE_416480 BOUND_VARIABLE_259558)))))) (let ((_let_15174 (forall ((BOUND_VARIABLE_416495 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416494 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259549 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11641 BOUND_VARIABLE_416495) BOUND_VARIABLE_416494) BOUND_VARIABLE_259549) (ho_6671 BOUND_VARIABLE_416495 (ho_4891 BOUND_VARIABLE_416494 BOUND_VARIABLE_259549)))))) (let ((_let_15175 (forall ((BOUND_VARIABLE_416509 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416508 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259540 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11642 BOUND_VARIABLE_416509) BOUND_VARIABLE_416508) BOUND_VARIABLE_259540) (ho_5235 BOUND_VARIABLE_416509 (ho_4593 BOUND_VARIABLE_416508 BOUND_VARIABLE_259540)))))) (let ((_let_15176 (forall ((BOUND_VARIABLE_416523 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416522 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259531 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11643 BOUND_VARIABLE_416523) BOUND_VARIABLE_416522) BOUND_VARIABLE_259531) (ho_4855 BOUND_VARIABLE_416523 (ho_4855 BOUND_VARIABLE_416522 BOUND_VARIABLE_259531)))))) (let ((_let_15177 (forall ((BOUND_VARIABLE_416537 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416536 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259522 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11644 BOUND_VARIABLE_416537) BOUND_VARIABLE_416536) BOUND_VARIABLE_259522) (ho_5235 BOUND_VARIABLE_416537 (ho_4593 BOUND_VARIABLE_416536 BOUND_VARIABLE_259522)))))) (let ((_let_15178 (forall ((BOUND_VARIABLE_416551 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416550 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259513 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11645 BOUND_VARIABLE_416551) BOUND_VARIABLE_416550) BOUND_VARIABLE_259513) (ho_5235 BOUND_VARIABLE_416551 (ho_4593 BOUND_VARIABLE_416550 BOUND_VARIABLE_259513)))))) (let ((_let_15179 (forall ((BOUND_VARIABLE_416564 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259503 tptp.int) (BOUND_VARIABLE_259504 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 k_11646 BOUND_VARIABLE_416564) BOUND_VARIABLE_259503) BOUND_VARIABLE_259504) (ho_6488 (ho_6484 BOUND_VARIABLE_416564 BOUND_VARIABLE_259503) BOUND_VARIABLE_259504))))) (let ((_let_15180 (forall ((BOUND_VARIABLE_416577 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259494 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259495 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 k_11647 BOUND_VARIABLE_416577) BOUND_VARIABLE_259494) BOUND_VARIABLE_259495) (ho_5218 (ho_5383 BOUND_VARIABLE_416577 BOUND_VARIABLE_259494) BOUND_VARIABLE_259495))))) (let ((_let_15181 (forall ((BOUND_VARIABLE_416592 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_416591 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259478 tptp.int) (BOUND_VARIABLE_259479 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11648 BOUND_VARIABLE_416592) BOUND_VARIABLE_416591) BOUND_VARIABLE_259478) BOUND_VARIABLE_259479) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_416592 BOUND_VARIABLE_259478) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_416591 B4) BOUND_VARIABLE_259479))))))))) (let ((_let_15182 (forall ((BOUND_VARIABLE_416615 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_416614 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259461 tptp.int) (BOUND_VARIABLE_259462 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11649 BOUND_VARIABLE_416615) BOUND_VARIABLE_416614) BOUND_VARIABLE_259461) BOUND_VARIABLE_259462) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_416615 BOUND_VARIABLE_259461) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_416614 B4) BOUND_VARIABLE_259462))))))))) (let ((_let_15183 (forall ((BOUND_VARIABLE_416638 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_416637 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259444 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259445 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11650 BOUND_VARIABLE_416638) BOUND_VARIABLE_416637) BOUND_VARIABLE_259444) BOUND_VARIABLE_259445) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_416638 BOUND_VARIABLE_259444) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_416637 B4) BOUND_VARIABLE_259445))))))))) (let ((_let_15184 (forall ((BOUND_VARIABLE_416661 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_416660 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259427 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259428 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11651 BOUND_VARIABLE_416661) BOUND_VARIABLE_416660) BOUND_VARIABLE_259427) BOUND_VARIABLE_259428) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_416661 BOUND_VARIABLE_259427) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_416660 B4) BOUND_VARIABLE_259428))))))))) (let ((_let_15185 (forall ((BOUND_VARIABLE_416686 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416685 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_416684 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259414 tptp.code_integer) (BOUND_VARIABLE_259415 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11652 BOUND_VARIABLE_416686) BOUND_VARIABLE_416685) BOUND_VARIABLE_416684) BOUND_VARIABLE_259414) BOUND_VARIABLE_259415) (ho_5405 (ho_5413 BOUND_VARIABLE_416686 (ho_5398 (ho_11431 (ho_11430 k_11429 BOUND_VARIABLE_416685) BOUND_VARIABLE_416684) BOUND_VARIABLE_259414)) BOUND_VARIABLE_259415))))) (let ((_let_15186 (forall ((BOUND_VARIABLE_416708 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416707 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_416706 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259400 tptp.code_integer) (BOUND_VARIABLE_259401 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11653 BOUND_VARIABLE_416708) BOUND_VARIABLE_416707) BOUND_VARIABLE_416706) BOUND_VARIABLE_259400) BOUND_VARIABLE_259401) (ho_5405 (ho_5413 (ho_11435 (ho_11434 k_11433 BOUND_VARIABLE_416708) BOUND_VARIABLE_416707) (ho_5398 BOUND_VARIABLE_416706 BOUND_VARIABLE_259400)) BOUND_VARIABLE_259401))))) (let ((_let_15187 (forall ((BOUND_VARIABLE_416730 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416729 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_416728 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259386 tptp.code_integer) (BOUND_VARIABLE_259387 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6659 (ho_11438 (ho_11437 k_11654 BOUND_VARIABLE_416730) BOUND_VARIABLE_416729) BOUND_VARIABLE_416728) BOUND_VARIABLE_259386) BOUND_VARIABLE_259387) (ho_5405 (ho_5413 BOUND_VARIABLE_416730 (ho_5398 (ho_7042 (ho_11440 k_11439 BOUND_VARIABLE_416729) BOUND_VARIABLE_416728) BOUND_VARIABLE_259386)) BOUND_VARIABLE_259387))))) (let ((_let_15188 (forall ((BOUND_VARIABLE_416750 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_416749 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_259374 tptp.code_integer) (BOUND_VARIABLE_259375 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11655 BOUND_VARIABLE_416750) BOUND_VARIABLE_416749) BOUND_VARIABLE_259374) BOUND_VARIABLE_259375) (ho_5405 (ho_5413 BOUND_VARIABLE_416750 (ho_5398 BOUND_VARIABLE_416749 BOUND_VARIABLE_259374)) BOUND_VARIABLE_259375))))) (let ((_let_15189 (forall ((BOUND_VARIABLE_416768 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416767 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_416766 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259363 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11656 BOUND_VARIABLE_416768) BOUND_VARIABLE_416767) BOUND_VARIABLE_416766) BOUND_VARIABLE_259363) (ho_4891 BOUND_VARIABLE_416768 (ho_4914 (ho_8181 (ho_8180 k_11443 BOUND_VARIABLE_416767) BOUND_VARIABLE_416766) BOUND_VARIABLE_259363)))))) (let ((_let_15190 (forall ((BOUND_VARIABLE_416787 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416786 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_416785 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259352 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11657 BOUND_VARIABLE_416787) BOUND_VARIABLE_416786) BOUND_VARIABLE_416785) BOUND_VARIABLE_259352) (ho_4891 BOUND_VARIABLE_416787 (ho_4914 BOUND_VARIABLE_416786 (ho_4914 BOUND_VARIABLE_416785 BOUND_VARIABLE_259352))))))) (let ((_let_15191 (forall ((BOUND_VARIABLE_416805 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416804 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416803 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259341 tptp.int)) (= (ho_5439 (ho_11448 (ho_11447 (ho_11446 k_11658 BOUND_VARIABLE_416805) BOUND_VARIABLE_416804) BOUND_VARIABLE_416803) BOUND_VARIABLE_259341) (ho_6671 BOUND_VARIABLE_416805 (ho_4891 BOUND_VARIABLE_416804 (ho_4914 BOUND_VARIABLE_416803 BOUND_VARIABLE_259341))))))) (let ((_let_15192 (forall ((BOUND_VARIABLE_416821 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416820 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259331 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11659 BOUND_VARIABLE_416821) BOUND_VARIABLE_416820) BOUND_VARIABLE_259331) (ho_6671 BOUND_VARIABLE_416821 (ho_4891 BOUND_VARIABLE_416820 BOUND_VARIABLE_259331)))))) (let ((_let_15193 (forall ((BOUND_VARIABLE_416837 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416836 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416835 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259320 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11660 BOUND_VARIABLE_416837) BOUND_VARIABLE_416836) BOUND_VARIABLE_416835) BOUND_VARIABLE_259320) (ho_6671 BOUND_VARIABLE_416837 (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_416836) BOUND_VARIABLE_416835) BOUND_VARIABLE_259320)))))) (let ((_let_15194 (forall ((BOUND_VARIABLE_416856 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416855 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416854 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259308 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11661 BOUND_VARIABLE_416856) BOUND_VARIABLE_416855) BOUND_VARIABLE_416854) BOUND_VARIABLE_259308) (ho_6671 (ho_11458 (ho_11457 k_11456 BOUND_VARIABLE_416856) BOUND_VARIABLE_416855) (ho_4891 BOUND_VARIABLE_416854 BOUND_VARIABLE_259308)))))) (let ((_let_15195 (forall ((BOUND_VARIABLE_416875 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416874 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416873 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259297 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11662 BOUND_VARIABLE_416875) BOUND_VARIABLE_416874) BOUND_VARIABLE_416873) BOUND_VARIABLE_259297) (ho_5235 BOUND_VARIABLE_416875 (ho_5235 BOUND_VARIABLE_416874 (ho_4593 BOUND_VARIABLE_416873 BOUND_VARIABLE_259297))))))) (let ((_let_15196 (forall ((BOUND_VARIABLE_416893 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416892 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416891 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259285 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11663 BOUND_VARIABLE_416893) BOUND_VARIABLE_416892) BOUND_VARIABLE_416891) BOUND_VARIABLE_259285) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_416893) BOUND_VARIABLE_416892) (ho_4593 BOUND_VARIABLE_416891 BOUND_VARIABLE_259285)))))) (let ((_let_15197 (forall ((BOUND_VARIABLE_416912 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416911 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_416910 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_259273 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 (ho_10584 k_11664 BOUND_VARIABLE_416912) BOUND_VARIABLE_416911) BOUND_VARIABLE_416910) BOUND_VARIABLE_259273) (ho_5235 BOUND_VARIABLE_416912 (ho_4593 (ho_10577 (ho_10576 k_10575 BOUND_VARIABLE_416911) BOUND_VARIABLE_416910) BOUND_VARIABLE_259273)))))) (let ((_let_15198 (forall ((BOUND_VARIABLE_416929 |u_(-> Bool Bool)|) (BOUND_VARIABLE_416928 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_259263 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11665 BOUND_VARIABLE_416929) BOUND_VARIABLE_416928) BOUND_VARIABLE_259263) (ho_5235 BOUND_VARIABLE_416929 (ho_4593 BOUND_VARIABLE_416928 BOUND_VARIABLE_259263)))))) (let ((_let_15199 (forall ((BOUND_VARIABLE_416943 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416942 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259254 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11666 BOUND_VARIABLE_416943) BOUND_VARIABLE_416942) BOUND_VARIABLE_259254) (ho_4891 BOUND_VARIABLE_416943 (ho_4914 BOUND_VARIABLE_416942 BOUND_VARIABLE_259254)))))) (let ((_let_15200 (forall ((BOUND_VARIABLE_416959 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_416958 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_416957 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_259243 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 (ho_10945 k_11667 BOUND_VARIABLE_416959) BOUND_VARIABLE_416958) BOUND_VARIABLE_416957) BOUND_VARIABLE_259243) (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_416959) BOUND_VARIABLE_416958) (ho_4914 BOUND_VARIABLE_416957 BOUND_VARIABLE_259243)))))) (let ((_let_15201 (forall ((BOUND_VARIABLE_416976 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416975 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259233 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11668 BOUND_VARIABLE_416976) BOUND_VARIABLE_416975) BOUND_VARIABLE_259233) (ho_6671 BOUND_VARIABLE_416976 (ho_4891 BOUND_VARIABLE_416975 BOUND_VARIABLE_259233)))))) (let ((_let_15202 (forall ((BOUND_VARIABLE_416992 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_416991 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_416990 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_259222 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 (ho_11465 k_11669 BOUND_VARIABLE_416992) BOUND_VARIABLE_416991) BOUND_VARIABLE_416990) BOUND_VARIABLE_259222) (ho_6671 (ho_11468 (ho_11467 k_11466 BOUND_VARIABLE_416992) BOUND_VARIABLE_416991) (ho_4891 BOUND_VARIABLE_416990 BOUND_VARIABLE_259222)))))) (let ((_let_15203 (forall ((BOUND_VARIABLE_417007 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_259210 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11670 BOUND_VARIABLE_417007) BOUND_VARIABLE_259210) (ho_5218 (ho_5250 BOUND_VARIABLE_417007 (ho_5531 k_5530 BOUND_VARIABLE_259210)) (ho_5531 k_5532 BOUND_VARIABLE_259210)))))) (let ((_let_15204 (forall ((BOUND_VARIABLE_417020 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_259200 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11671 BOUND_VARIABLE_417020) BOUND_VARIABLE_259200) (ho_5218 (ho_5250 BOUND_VARIABLE_417020 (ho_5531 k_5530 BOUND_VARIABLE_259200)) (ho_5531 k_5532 BOUND_VARIABLE_259200)))))) (let ((_let_15205 (forall ((BOUND_VARIABLE_417031 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_259174 tptp.int) (BOUND_VARIABLE_259175 tptp.int)) (= (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 BOUND_VARIABLE_259174) BOUND_VARIABLE_259175)) (ho_4601 k_4600 (ho_6245 k_6632 BOUND_VARIABLE_417031))) (ho_5218 (ho_5250 (ho_7125 k_11672 BOUND_VARIABLE_417031) BOUND_VARIABLE_259174) BOUND_VARIABLE_259175))))) (let ((_let_15206 (forall ((BOUND_VARIABLE_417051 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_259161 tptp.nat) (BOUND_VARIABLE_259162 tptp.nat)) (= (ho_4593 (ho_4511 (ho_9715 k_11673 BOUND_VARIABLE_417051) BOUND_VARIABLE_259161) BOUND_VARIABLE_259162) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_259161) BOUND_VARIABLE_259162)) (ho_4515 k_4514 (ho_4513 k_4512 BOUND_VARIABLE_417051))))))) (let ((_let_15207 (forall ((BOUND_VARIABLE_417070 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417069 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259145 tptp.int) (BOUND_VARIABLE_259146 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11674 BOUND_VARIABLE_417070) BOUND_VARIABLE_417069) BOUND_VARIABLE_259145) BOUND_VARIABLE_259146) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_417070 BOUND_VARIABLE_259145) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_417069 B4) BOUND_VARIABLE_259146))))))))) (let ((_let_15208 (forall ((BOUND_VARIABLE_417093 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417092 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_259128 tptp.int) (BOUND_VARIABLE_259129 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11675 BOUND_VARIABLE_417093) BOUND_VARIABLE_417092) BOUND_VARIABLE_259128) BOUND_VARIABLE_259129) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_417093 BOUND_VARIABLE_259128) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_417092 B4) BOUND_VARIABLE_259129))))))))) (let ((_let_15209 (forall ((BOUND_VARIABLE_417116 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417115 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259111 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259112 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11676 BOUND_VARIABLE_417116) BOUND_VARIABLE_417115) BOUND_VARIABLE_259111) BOUND_VARIABLE_259112) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_417116 BOUND_VARIABLE_259111) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_417115 B4) BOUND_VARIABLE_259112))))))))) (let ((_let_15210 (forall ((BOUND_VARIABLE_417139 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417138 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_259094 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259095 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11677 BOUND_VARIABLE_417139) BOUND_VARIABLE_417138) BOUND_VARIABLE_259094) BOUND_VARIABLE_259095) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_417139 BOUND_VARIABLE_259094) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_417138 B4) BOUND_VARIABLE_259095))))))))) (let ((_let_15211 (forall ((BOUND_VARIABLE_417158 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417157 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417162 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417161 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6633) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417162) BOUND_VARIABLE_417161) (ho_9743 (ho_9742 k_9741 BOUND_VARIABLE_417158) BOUND_VARIABLE_417157))) (ho_9762 (ho_9761 (ho_9760 (ho_9775 k_11678 BOUND_VARIABLE_417158) BOUND_VARIABLE_417157) BOUND_VARIABLE_417162) BOUND_VARIABLE_417161))))) (let ((_let_15212 (forall ((BOUND_VARIABLE_417180 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417182 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417181 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6634) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417182) BOUND_VARIABLE_417181) BOUND_VARIABLE_417180)) (ho_9762 (ho_9761 (ho_9760 k_11679 BOUND_VARIABLE_417180) BOUND_VARIABLE_417182) BOUND_VARIABLE_417181))))) (let ((_let_15213 (forall ((BOUND_VARIABLE_417198 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417200 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417199 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6635) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417200) BOUND_VARIABLE_417199) BOUND_VARIABLE_417198)) (ho_9762 (ho_9761 (ho_9760 k_11680 BOUND_VARIABLE_417198) BOUND_VARIABLE_417200) BOUND_VARIABLE_417199))))) (let ((_let_15214 (forall ((BOUND_VARIABLE_417223 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_417222 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417221 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417220 |u_(-> tptp.code_integer tptp.num)|)) (= (ho_9757 (ho_9756 (ho_9755 (ho_9771 k_11681 BOUND_VARIABLE_417223) BOUND_VARIABLE_417222) BOUND_VARIABLE_417221) BOUND_VARIABLE_417220) (ho_9750 (ho_9749 k_9748 BOUND_VARIABLE_417223) (ho_9747 (ho_9746 (ho_9745 k_9744 BOUND_VARIABLE_417221) BOUND_VARIABLE_417220) BOUND_VARIABLE_417222)))))) (let ((_let_15215 (forall ((BOUND_VARIABLE_259021 tptp.int) (BOUND_VARIABLE_259022 tptp.int)) (= (= BOUND_VARIABLE_259021 BOUND_VARIABLE_259022) (ho_5218 (ho_5250 k_11682 BOUND_VARIABLE_259021) BOUND_VARIABLE_259022))))) (let ((_let_15216 (forall ((BOUND_VARIABLE_417244 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417246 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417245 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6636) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417246) BOUND_VARIABLE_417245) BOUND_VARIABLE_417244)) (ho_9762 (ho_9761 (ho_9760 k_11683 BOUND_VARIABLE_417244) BOUND_VARIABLE_417246) BOUND_VARIABLE_417245))))) (let ((_let_15217 (forall ((BOUND_VARIABLE_417262 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417264 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417263 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6637) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417264) BOUND_VARIABLE_417263) BOUND_VARIABLE_417262)) (ho_9762 (ho_9761 (ho_9760 k_11684 BOUND_VARIABLE_417262) BOUND_VARIABLE_417264) BOUND_VARIABLE_417263))))) (let ((_let_15218 (forall ((BOUND_VARIABLE_417280 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417282 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417281 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6638) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417282) BOUND_VARIABLE_417281) BOUND_VARIABLE_417280)) (ho_9762 (ho_9761 (ho_9760 k_11685 BOUND_VARIABLE_417280) BOUND_VARIABLE_417282) BOUND_VARIABLE_417281))))) (let ((_let_15219 (forall ((BOUND_VARIABLE_258966 tptp.int) (BOUND_VARIABLE_258967 tptp.int)) (= (= BOUND_VARIABLE_258966 BOUND_VARIABLE_258967) (ho_5218 (ho_5250 k_11686 BOUND_VARIABLE_258966) BOUND_VARIABLE_258967))))) (let ((_let_15220 (forall ((BOUND_VARIABLE_417305 |u_(-> tptp.num tptp.num Bool)|) (BOUND_VARIABLE_417307 |u_(-> tptp.int tptp.num)|) (BOUND_VARIABLE_417306 |u_(-> tptp.int tptp.num)|)) (= (ho_9769 (ho_9768 k_9767 k_6639) (ho_9766 (ho_9765 (ho_9764 k_9763 BOUND_VARIABLE_417307) BOUND_VARIABLE_417306) BOUND_VARIABLE_417305)) (ho_9762 (ho_9761 (ho_9760 k_11687 BOUND_VARIABLE_417305) BOUND_VARIABLE_417307) BOUND_VARIABLE_417306))))) (let ((_let_15221 (forall ((BOUND_VARIABLE_258943 tptp.int) (BOUND_VARIABLE_258944 tptp.int)) (= (= BOUND_VARIABLE_258943 BOUND_VARIABLE_258944) (ho_5218 (ho_5250 k_11688 BOUND_VARIABLE_258943) BOUND_VARIABLE_258944))))) (let ((_let_15222 (forall ((BOUND_VARIABLE_258936 tptp.int) (BOUND_VARIABLE_258937 tptp.int)) (= (= BOUND_VARIABLE_258936 BOUND_VARIABLE_258937) (ho_5218 (ho_5250 k_11689 BOUND_VARIABLE_258936) BOUND_VARIABLE_258937))))) (let ((_let_15223 (forall ((BOUND_VARIABLE_258929 tptp.int) (BOUND_VARIABLE_258930 tptp.int)) (= (= BOUND_VARIABLE_258929 BOUND_VARIABLE_258930) (ho_5218 (ho_5250 k_11690 BOUND_VARIABLE_258929) BOUND_VARIABLE_258930))))) (let ((_let_15224 (forall ((BOUND_VARIABLE_258922 tptp.int) (BOUND_VARIABLE_258923 tptp.int)) (= (= BOUND_VARIABLE_258922 BOUND_VARIABLE_258923) (ho_5218 (ho_5250 k_11691 BOUND_VARIABLE_258922) BOUND_VARIABLE_258923))))) (let ((_let_15225 (forall ((BOUND_VARIABLE_258915 tptp.nat) (BOUND_VARIABLE_258916 tptp.nat)) (= (= BOUND_VARIABLE_258915 BOUND_VARIABLE_258916) (ho_4593 (ho_4511 k_11692 BOUND_VARIABLE_258915) BOUND_VARIABLE_258916))))) (let ((_let_15226 (forall ((BOUND_VARIABLE_258908 tptp.nat) (BOUND_VARIABLE_258909 tptp.nat)) (= (= BOUND_VARIABLE_258908 BOUND_VARIABLE_258909) (ho_4593 (ho_4511 k_11693 BOUND_VARIABLE_258908) BOUND_VARIABLE_258909))))) (let ((_let_15227 (forall ((BOUND_VARIABLE_258901 tptp.nat) (BOUND_VARIABLE_258902 tptp.nat)) (= (= BOUND_VARIABLE_258901 BOUND_VARIABLE_258902) (ho_4593 (ho_4511 k_11694 BOUND_VARIABLE_258901) BOUND_VARIABLE_258902))))) (let ((_let_15228 (forall ((BOUND_VARIABLE_258894 tptp.nat) (BOUND_VARIABLE_258895 tptp.nat)) (= (= BOUND_VARIABLE_258894 BOUND_VARIABLE_258895) (ho_4593 (ho_4511 k_11695 BOUND_VARIABLE_258894) BOUND_VARIABLE_258895))))) (let ((_let_15229 (forall ((BOUND_VARIABLE_258887 tptp.int) (BOUND_VARIABLE_258888 tptp.int)) (= (= BOUND_VARIABLE_258887 BOUND_VARIABLE_258888) (ho_5218 (ho_5250 k_11696 BOUND_VARIABLE_258887) BOUND_VARIABLE_258888))))) (let ((_let_15230 (forall ((BOUND_VARIABLE_258880 tptp.int) (BOUND_VARIABLE_258881 tptp.int)) (= (= BOUND_VARIABLE_258880 BOUND_VARIABLE_258881) (ho_5218 (ho_5250 k_11697 BOUND_VARIABLE_258880) BOUND_VARIABLE_258881))))) (let ((_let_15231 (forall ((BOUND_VARIABLE_258873 tptp.nat) (BOUND_VARIABLE_258874 tptp.nat)) (= (= BOUND_VARIABLE_258873 BOUND_VARIABLE_258874) (ho_4593 (ho_4511 k_11698 BOUND_VARIABLE_258873) BOUND_VARIABLE_258874))))) (let ((_let_15232 (forall ((BOUND_VARIABLE_258866 tptp.nat) (BOUND_VARIABLE_258867 tptp.nat)) (= (= BOUND_VARIABLE_258866 BOUND_VARIABLE_258867) (ho_4593 (ho_4511 k_11699 BOUND_VARIABLE_258866) BOUND_VARIABLE_258867))))) (let ((_let_15233 (forall ((BOUND_VARIABLE_258859 tptp.nat) (BOUND_VARIABLE_258860 tptp.nat)) (= (= BOUND_VARIABLE_258859 BOUND_VARIABLE_258860) (ho_4593 (ho_4511 k_11700 BOUND_VARIABLE_258859) BOUND_VARIABLE_258860))))) (let ((_let_15234 (forall ((BOUND_VARIABLE_258852 tptp.nat) (BOUND_VARIABLE_258853 tptp.nat)) (= (= BOUND_VARIABLE_258852 BOUND_VARIABLE_258853) (ho_4593 (ho_4511 k_11701 BOUND_VARIABLE_258852) BOUND_VARIABLE_258853))))) (let ((_let_15235 (forall ((BOUND_VARIABLE_417428 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417427 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417426 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_258835 tptp.int) (BOUND_VARIABLE_258836 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 (ho_7122 k_11702 BOUND_VARIABLE_417428) BOUND_VARIABLE_417427) BOUND_VARIABLE_417426) BOUND_VARIABLE_258835) BOUND_VARIABLE_258836) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 (ho_7125 (ho_7124 k_9776 BOUND_VARIABLE_417428) BOUND_VARIABLE_417427) BOUND_VARIABLE_258835) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_417426 B4) BOUND_VARIABLE_258836))))))))) (let ((_let_15236 (forall ((BOUND_VARIABLE_417459 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417455 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_417449 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258812 tptp.int) (BOUND_VARIABLE_258813 tptp.code_integer)) (= (and (not (forall ((BOUND_VARIABLE_170939 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_417459 BOUND_VARIABLE_170939) BOUND_VARIABLE_170939)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_417455 BOUND_VARIABLE_170939) BOUND_VARIABLE_258813))))) (not (forall ((B4 tptp.int)) (not (ho_5218 (ho_5250 BOUND_VARIABLE_417449 BOUND_VARIABLE_258812) B4))))) (ho_6488 (ho_6484 (ho_9081 (ho_11705 (ho_11704 k_11703 BOUND_VARIABLE_417459) BOUND_VARIABLE_417455) BOUND_VARIABLE_417449) BOUND_VARIABLE_258812) BOUND_VARIABLE_258813))))) (let ((_let_15237 (forall ((BOUND_VARIABLE_417496 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417495 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417494 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_258792 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258793 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 (ho_7129 k_11706 BOUND_VARIABLE_417496) BOUND_VARIABLE_417495) BOUND_VARIABLE_417494) BOUND_VARIABLE_258792) BOUND_VARIABLE_258793) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 (ho_7132 (ho_7131 k_11707 BOUND_VARIABLE_417496) BOUND_VARIABLE_417495) BOUND_VARIABLE_258792) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_417494 B4) BOUND_VARIABLE_258793))))))))) (let ((_let_15238 (forall ((BOUND_VARIABLE_417528 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417524 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_417518 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_258769 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258770 tptp.int)) (= (and (not (forall ((BOUND_VARIABLE_170854 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_417528 BOUND_VARIABLE_170854) BOUND_VARIABLE_170854)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_417524 BOUND_VARIABLE_170854) BOUND_VARIABLE_258770))))) (not (forall ((B4 tptp.product_prod_nat_nat)) (not (ho_4575 (ho_5379 BOUND_VARIABLE_417518 BOUND_VARIABLE_258769) B4))))) (ho_5218 (ho_5383 (ho_9084 (ho_11710 (ho_11709 k_11708 BOUND_VARIABLE_417528) BOUND_VARIABLE_417524) BOUND_VARIABLE_417518) BOUND_VARIABLE_258769) BOUND_VARIABLE_258770))))) (let ((_let_15239 (forall ((BOUND_VARIABLE_417563 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417562 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_258751 tptp.int) (BOUND_VARIABLE_258752 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11711 BOUND_VARIABLE_417563) BOUND_VARIABLE_417562) BOUND_VARIABLE_258751) BOUND_VARIABLE_258752) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_417563 BOUND_VARIABLE_258751) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_417562 B4) BOUND_VARIABLE_258752))))))))) (let ((_let_15240 (forall ((BOUND_VARIABLE_417588 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_417587 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_417586 |u_(-> tptp.code_integer tptp.code_integer Bool)|) (BOUND_VARIABLE_258732 tptp.int) (BOUND_VARIABLE_258733 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_9792 (ho_9791 (ho_11713 k_11712 BOUND_VARIABLE_417588) BOUND_VARIABLE_417587) BOUND_VARIABLE_417586) BOUND_VARIABLE_258732) BOUND_VARIABLE_258733) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_417588 BOUND_VARIABLE_258732) B4)) (not (ho_6488 (ho_6484 (ho_9792 (ho_9791 k_9790 BOUND_VARIABLE_417587) BOUND_VARIABLE_417586) B4) BOUND_VARIABLE_258733))))))))) (let ((_let_15241 (forall ((BOUND_VARIABLE_417618 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417617 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_258714 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258715 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11714 BOUND_VARIABLE_417618) BOUND_VARIABLE_417617) BOUND_VARIABLE_258714) BOUND_VARIABLE_258715) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_417618 BOUND_VARIABLE_258714) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_417617 B4) BOUND_VARIABLE_258715))))))))) (let ((_let_15242 (forall ((BOUND_VARIABLE_417643 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_417642 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_417641 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258695 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258696 tptp.int)) (= (ho_5218 (ho_5383 (ho_9737 (ho_9736 (ho_11716 k_11715 BOUND_VARIABLE_417643) BOUND_VARIABLE_417642) BOUND_VARIABLE_417641) BOUND_VARIABLE_258695) BOUND_VARIABLE_258696) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_417643 BOUND_VARIABLE_258695) B4)) (not (ho_5218 (ho_5383 (ho_9737 (ho_9736 k_9735 BOUND_VARIABLE_417642) BOUND_VARIABLE_417641) B4) BOUND_VARIABLE_258696))))))))) (let ((_let_15243 (forall ((BOUND_VARIABLE_258680 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_258681 tptp.product_prod_int_int)) (= (ho_4599 (ho_10205 k_11717 BOUND_VARIABLE_258680) BOUND_VARIABLE_258681) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 (ho_5531 k_5530 BOUND_VARIABLE_258681)) (ho_5531 k_5532 BOUND_VARIABLE_258681))) BOUND_VARIABLE_258680))))) (let ((_let_15244 (forall ((BOUND_VARIABLE_258669 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_258670 tptp.nat) (BOUND_VARIABLE_258671 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_11718 BOUND_VARIABLE_258669) BOUND_VARIABLE_258670) BOUND_VARIABLE_258671) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_258670) BOUND_VARIABLE_258671)) BOUND_VARIABLE_258669))))) (let ((_let_15245 (forall ((BOUND_VARIABLE_258657 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_258658 tptp.product_prod_int_int)) (= (ho_4599 (ho_10205 k_11719 BOUND_VARIABLE_258657) BOUND_VARIABLE_258658) (ho_5251 (ho_4901 k_4900 (ho_4604 (ho_4603 k_4602 (ho_5531 k_5530 BOUND_VARIABLE_258658)) (ho_5531 k_5532 BOUND_VARIABLE_258658))) BOUND_VARIABLE_258657))))) (let ((_let_15246 (forall ((BOUND_VARIABLE_258646 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_258647 tptp.nat) (BOUND_VARIABLE_258648 tptp.nat)) (= (ho_4593 (ho_4511 (ho_5253 k_11720 BOUND_VARIABLE_258646) BOUND_VARIABLE_258647) BOUND_VARIABLE_258648) (ho_5240 (ho_4567 k_4566 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_258647) BOUND_VARIABLE_258648)) BOUND_VARIABLE_258646))))) (let ((_let_15247 (forall ((BOUND_VARIABLE_417724 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_417723 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258639 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11721 BOUND_VARIABLE_417724) BOUND_VARIABLE_417723) BOUND_VARIABLE_258639) (ho_4891 BOUND_VARIABLE_417724 (ho_4914 BOUND_VARIABLE_417723 BOUND_VARIABLE_258639)))))) (let ((_let_15248 (forall ((BOUND_VARIABLE_417738 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_417737 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258630 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11722 BOUND_VARIABLE_417738) BOUND_VARIABLE_417737) BOUND_VARIABLE_258630) (ho_4891 BOUND_VARIABLE_417738 (ho_4914 BOUND_VARIABLE_417737 BOUND_VARIABLE_258630)))))) (let ((_let_15249 (forall ((BOUND_VARIABLE_417752 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_417751 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258617 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 k_11723 BOUND_VARIABLE_417752) BOUND_VARIABLE_417751) BOUND_VARIABLE_258617) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_417752 (ho_5531 k_5530 BOUND_VARIABLE_258617))) (ho_4914 BOUND_VARIABLE_417751 (ho_5531 k_5532 BOUND_VARIABLE_258617))))))) (let ((_let_15250 (forall ((BOUND_VARIABLE_417770 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_417769 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258608 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11724 BOUND_VARIABLE_417770) BOUND_VARIABLE_417769) BOUND_VARIABLE_258608) (ho_4891 BOUND_VARIABLE_417770 (ho_4914 BOUND_VARIABLE_417769 BOUND_VARIABLE_258608)))))) (let ((_let_15251 (forall ((BOUND_VARIABLE_417784 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_417783 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258599 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11725 BOUND_VARIABLE_417784) BOUND_VARIABLE_417783) BOUND_VARIABLE_258599) (ho_4855 BOUND_VARIABLE_417784 (ho_4855 BOUND_VARIABLE_417783 BOUND_VARIABLE_258599)))))) (let ((_let_15252 (forall ((BOUND_VARIABLE_417798 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_417797 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258590 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11726 BOUND_VARIABLE_417798) BOUND_VARIABLE_417797) BOUND_VARIABLE_258590) (ho_4855 BOUND_VARIABLE_417798 (ho_4855 BOUND_VARIABLE_417797 BOUND_VARIABLE_258590)))))) (let ((_let_15253 (forall ((BOUND_VARIABLE_417812 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_417811 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258581 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11727 BOUND_VARIABLE_417812) BOUND_VARIABLE_417811) BOUND_VARIABLE_258581) (ho_4891 BOUND_VARIABLE_417812 (ho_4914 BOUND_VARIABLE_417811 BOUND_VARIABLE_258581)))))) (let ((_let_15254 (forall ((BOUND_VARIABLE_417826 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_417825 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258572 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11728 BOUND_VARIABLE_417826) BOUND_VARIABLE_417825) BOUND_VARIABLE_258572) (ho_4855 BOUND_VARIABLE_417826 (ho_4855 BOUND_VARIABLE_417825 BOUND_VARIABLE_258572)))))) (let ((_let_15255 (forall ((BOUND_VARIABLE_417840 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_417839 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258563 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11729 BOUND_VARIABLE_417840) BOUND_VARIABLE_417839) BOUND_VARIABLE_258563) (ho_4855 BOUND_VARIABLE_417840 (ho_4855 BOUND_VARIABLE_417839 BOUND_VARIABLE_258563)))))) (let ((_let_15256 (forall ((BOUND_VARIABLE_417856 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_417855 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_417854 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258549 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 (ho_11732 (ho_11731 k_11730 BOUND_VARIABLE_417856) BOUND_VARIABLE_417855) BOUND_VARIABLE_417854) BOUND_VARIABLE_258549) (ho_5218 (ho_5250 (ho_7125 (ho_10711 (ho_10710 k_10709 BOUND_VARIABLE_417856) BOUND_VARIABLE_417855) BOUND_VARIABLE_417854) (ho_5531 k_5530 BOUND_VARIABLE_258549)) (ho_5531 k_5532 BOUND_VARIABLE_258549)))))) (let ((_let_15257 (forall ((BOUND_VARIABLE_417882 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258537 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11733 BOUND_VARIABLE_417882) BOUND_VARIABLE_258537) (ho_5218 (ho_5250 BOUND_VARIABLE_417882 (ho_5531 k_5530 BOUND_VARIABLE_258537)) (ho_5531 k_5532 BOUND_VARIABLE_258537)))))) (let ((_let_15258 (forall ((BOUND_VARIABLE_417899 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_417898 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_417897 |u_(-> tptp.nat tptp.nat Bool)|) (BOUND_VARIABLE_258524 tptp.product_prod_int_int)) (= (ho_4599 (ho_11737 (ho_11736 (ho_11735 k_11734 BOUND_VARIABLE_417899) BOUND_VARIABLE_417898) BOUND_VARIABLE_417897) BOUND_VARIABLE_258524) (ho_5218 (ho_5250 (ho_11741 (ho_11740 (ho_11739 k_11738 BOUND_VARIABLE_417899) BOUND_VARIABLE_417898) BOUND_VARIABLE_417897) (ho_5531 k_5530 BOUND_VARIABLE_258524)) (ho_5531 k_5532 BOUND_VARIABLE_258524)))))) (let ((_let_15259 (forall ((BOUND_VARIABLE_417942 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258512 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11742 BOUND_VARIABLE_417942) BOUND_VARIABLE_258512) (ho_5218 (ho_5250 BOUND_VARIABLE_417942 (ho_5531 k_5530 BOUND_VARIABLE_258512)) (ho_5531 k_5532 BOUND_VARIABLE_258512)))))) (let ((_let_15260 (forall ((BOUND_VARIABLE_417955 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258502 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11743 BOUND_VARIABLE_417955) BOUND_VARIABLE_258502) (ho_5218 (ho_5250 BOUND_VARIABLE_417955 (ho_5531 k_5530 BOUND_VARIABLE_258502)) (ho_5531 k_5532 BOUND_VARIABLE_258502)))))) (let ((_let_15261 (forall ((BOUND_VARIABLE_417968 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_258492 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11744 BOUND_VARIABLE_417968) BOUND_VARIABLE_258492) (ho_5218 (ho_5250 BOUND_VARIABLE_417968 (ho_5531 k_5530 BOUND_VARIABLE_258492)) (ho_5531 k_5532 BOUND_VARIABLE_258492)))))) (let ((_let_15262 (forall ((BOUND_VARIABLE_417983 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_417982 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258484 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11745 BOUND_VARIABLE_417983) BOUND_VARIABLE_417982) BOUND_VARIABLE_258484) (ho_4855 BOUND_VARIABLE_417983 (ho_4855 BOUND_VARIABLE_417982 BOUND_VARIABLE_258484)))))) (let ((_let_15263 (forall ((BOUND_VARIABLE_417997 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_417996 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258475 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11746 BOUND_VARIABLE_417997) BOUND_VARIABLE_417996) BOUND_VARIABLE_258475) (ho_6671 BOUND_VARIABLE_417997 (ho_4891 BOUND_VARIABLE_417996 BOUND_VARIABLE_258475)))))) (let ((_let_15264 (forall ((BOUND_VARIABLE_418011 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418010 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258466 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11747 BOUND_VARIABLE_418011) BOUND_VARIABLE_418010) BOUND_VARIABLE_258466) (ho_4855 BOUND_VARIABLE_418011 (ho_4855 BOUND_VARIABLE_418010 BOUND_VARIABLE_258466)))))) (let ((_let_15265 (forall ((BOUND_VARIABLE_418025 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418024 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258457 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11748 BOUND_VARIABLE_418025) BOUND_VARIABLE_418024) BOUND_VARIABLE_258457) (ho_5235 BOUND_VARIABLE_418025 (ho_4593 BOUND_VARIABLE_418024 BOUND_VARIABLE_258457)))))) (let ((_let_15266 (forall ((BOUND_VARIABLE_418039 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418038 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258448 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11749 BOUND_VARIABLE_418039) BOUND_VARIABLE_418038) BOUND_VARIABLE_258448) (ho_6671 BOUND_VARIABLE_418039 (ho_4891 BOUND_VARIABLE_418038 BOUND_VARIABLE_258448)))))) (let ((_let_15267 (forall ((BOUND_VARIABLE_418053 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418052 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258439 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11750 BOUND_VARIABLE_418053) BOUND_VARIABLE_418052) BOUND_VARIABLE_258439) (ho_4891 BOUND_VARIABLE_418053 (ho_4914 BOUND_VARIABLE_418052 BOUND_VARIABLE_258439)))))) (let ((_let_15268 (forall ((BOUND_VARIABLE_418067 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418066 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258430 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11751 BOUND_VARIABLE_418067) BOUND_VARIABLE_418066) BOUND_VARIABLE_258430) (ho_6671 BOUND_VARIABLE_418067 (ho_4891 BOUND_VARIABLE_418066 BOUND_VARIABLE_258430)))))) (let ((_let_15269 (forall ((BOUND_VARIABLE_418081 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418080 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258421 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11752 BOUND_VARIABLE_418081) BOUND_VARIABLE_418080) BOUND_VARIABLE_258421) (ho_4855 BOUND_VARIABLE_418081 (ho_4855 BOUND_VARIABLE_418080 BOUND_VARIABLE_258421)))))) (let ((_let_15270 (forall ((BOUND_VARIABLE_418095 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418094 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258412 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11753 BOUND_VARIABLE_418095) BOUND_VARIABLE_418094) BOUND_VARIABLE_258412) (ho_6671 BOUND_VARIABLE_418095 (ho_4891 BOUND_VARIABLE_418094 BOUND_VARIABLE_258412)))))) (let ((_let_15271 (forall ((BOUND_VARIABLE_418109 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418108 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258403 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11754 BOUND_VARIABLE_418109) BOUND_VARIABLE_418108) BOUND_VARIABLE_258403) (ho_6671 BOUND_VARIABLE_418109 (ho_4891 BOUND_VARIABLE_418108 BOUND_VARIABLE_258403)))))) (let ((_let_15272 (forall ((BOUND_VARIABLE_418123 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418122 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258394 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11755 BOUND_VARIABLE_418123) BOUND_VARIABLE_418122) BOUND_VARIABLE_258394) (ho_6671 BOUND_VARIABLE_418123 (ho_4891 BOUND_VARIABLE_418122 BOUND_VARIABLE_258394)))))) (let ((_let_15273 (forall ((BOUND_VARIABLE_418137 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418136 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258385 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11756 BOUND_VARIABLE_418137) BOUND_VARIABLE_418136) BOUND_VARIABLE_258385) (ho_5235 BOUND_VARIABLE_418137 (ho_4593 BOUND_VARIABLE_418136 BOUND_VARIABLE_258385)))))) (let ((_let_15274 (forall ((BOUND_VARIABLE_418151 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418150 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258376 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11757 BOUND_VARIABLE_418151) BOUND_VARIABLE_418150) BOUND_VARIABLE_258376) (ho_5235 BOUND_VARIABLE_418151 (ho_4593 BOUND_VARIABLE_418150 BOUND_VARIABLE_258376)))))) (let ((_let_15275 (forall ((BOUND_VARIABLE_418165 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418164 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258367 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11758 BOUND_VARIABLE_418165) BOUND_VARIABLE_418164) BOUND_VARIABLE_258367) (ho_4891 BOUND_VARIABLE_418165 (ho_4914 BOUND_VARIABLE_418164 BOUND_VARIABLE_258367)))))) (let ((_let_15276 (forall ((BOUND_VARIABLE_418179 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418178 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258358 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11759 BOUND_VARIABLE_418179) BOUND_VARIABLE_418178) BOUND_VARIABLE_258358) (ho_5235 BOUND_VARIABLE_418179 (ho_4593 BOUND_VARIABLE_418178 BOUND_VARIABLE_258358)))))) (let ((_let_15277 (forall ((BOUND_VARIABLE_418193 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418192 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258349 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11760 BOUND_VARIABLE_418193) BOUND_VARIABLE_418192) BOUND_VARIABLE_258349) (ho_4855 BOUND_VARIABLE_418193 (ho_4855 BOUND_VARIABLE_418192 BOUND_VARIABLE_258349)))))) (let ((_let_15278 (forall ((BOUND_VARIABLE_418207 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418206 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258340 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11761 BOUND_VARIABLE_418207) BOUND_VARIABLE_418206) BOUND_VARIABLE_258340) (ho_5235 BOUND_VARIABLE_418207 (ho_4593 BOUND_VARIABLE_418206 BOUND_VARIABLE_258340)))))) (let ((_let_15279 (forall ((BOUND_VARIABLE_418221 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418220 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258331 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11762 BOUND_VARIABLE_418221) BOUND_VARIABLE_418220) BOUND_VARIABLE_258331) (ho_6671 BOUND_VARIABLE_418221 (ho_4891 BOUND_VARIABLE_418220 BOUND_VARIABLE_258331)))))) (let ((_let_15280 (forall ((BOUND_VARIABLE_418235 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418234 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258322 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11763 BOUND_VARIABLE_418235) BOUND_VARIABLE_418234) BOUND_VARIABLE_258322) (ho_5235 BOUND_VARIABLE_418235 (ho_4593 BOUND_VARIABLE_418234 BOUND_VARIABLE_258322)))))) (let ((_let_15281 (forall ((BOUND_VARIABLE_418249 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418248 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258313 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11764 BOUND_VARIABLE_418249) BOUND_VARIABLE_418248) BOUND_VARIABLE_258313) (ho_5235 BOUND_VARIABLE_418249 (ho_4593 BOUND_VARIABLE_418248 BOUND_VARIABLE_258313)))))) (let ((_let_15282 (forall ((BOUND_VARIABLE_418264 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418263 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258302 tptp.code_integer) (BOUND_VARIABLE_258303 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11765 BOUND_VARIABLE_418264) BOUND_VARIABLE_418263) BOUND_VARIABLE_258302) BOUND_VARIABLE_258303) (ho_5405 (ho_5413 BOUND_VARIABLE_418264 (ho_5398 BOUND_VARIABLE_418263 BOUND_VARIABLE_258302)) BOUND_VARIABLE_258303))))) (let ((_let_15283 (forall ((BOUND_VARIABLE_418281 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418280 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258291 tptp.code_integer) (BOUND_VARIABLE_258292 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11766 BOUND_VARIABLE_418281) BOUND_VARIABLE_418280) BOUND_VARIABLE_258291) BOUND_VARIABLE_258292) (ho_5405 (ho_5413 BOUND_VARIABLE_418281 (ho_5398 BOUND_VARIABLE_418280 BOUND_VARIABLE_258291)) BOUND_VARIABLE_258292))))) (let ((_let_15284 (forall ((BOUND_VARIABLE_418297 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418296 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258282 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11767 BOUND_VARIABLE_418297) BOUND_VARIABLE_418296) BOUND_VARIABLE_258282) (ho_4891 BOUND_VARIABLE_418297 (ho_4914 BOUND_VARIABLE_418296 BOUND_VARIABLE_258282)))))) (let ((_let_15285 (forall ((BOUND_VARIABLE_418311 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418310 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258273 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11768 BOUND_VARIABLE_418311) BOUND_VARIABLE_418310) BOUND_VARIABLE_258273) (ho_4891 BOUND_VARIABLE_418311 (ho_4914 BOUND_VARIABLE_418310 BOUND_VARIABLE_258273)))))) (let ((_let_15286 (forall ((BOUND_VARIABLE_418325 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418324 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258264 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11769 BOUND_VARIABLE_418325) BOUND_VARIABLE_418324) BOUND_VARIABLE_258264) (ho_4855 BOUND_VARIABLE_418325 (ho_4855 BOUND_VARIABLE_418324 BOUND_VARIABLE_258264)))))) (let ((_let_15287 (forall ((BOUND_VARIABLE_418339 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418338 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258255 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11770 BOUND_VARIABLE_418339) BOUND_VARIABLE_418338) BOUND_VARIABLE_258255) (ho_4855 BOUND_VARIABLE_418339 (ho_4855 BOUND_VARIABLE_418338 BOUND_VARIABLE_258255)))))) (let ((_let_15288 (forall ((BOUND_VARIABLE_418353 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418352 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258246 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11771 BOUND_VARIABLE_418353) BOUND_VARIABLE_418352) BOUND_VARIABLE_258246) (ho_6671 BOUND_VARIABLE_418353 (ho_4891 BOUND_VARIABLE_418352 BOUND_VARIABLE_258246)))))) (let ((_let_15289 (forall ((BOUND_VARIABLE_418367 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418366 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258237 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11772 BOUND_VARIABLE_418367) BOUND_VARIABLE_418366) BOUND_VARIABLE_258237) (ho_6671 BOUND_VARIABLE_418367 (ho_4891 BOUND_VARIABLE_418366 BOUND_VARIABLE_258237)))))) (let ((_let_15290 (forall ((BOUND_VARIABLE_418381 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418380 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258228 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11773 BOUND_VARIABLE_418381) BOUND_VARIABLE_418380) BOUND_VARIABLE_258228) (ho_5235 BOUND_VARIABLE_418381 (ho_4593 BOUND_VARIABLE_418380 BOUND_VARIABLE_258228)))))) (let ((_let_15291 (forall ((BOUND_VARIABLE_418395 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418394 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258219 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11774 BOUND_VARIABLE_418395) BOUND_VARIABLE_418394) BOUND_VARIABLE_258219) (ho_5235 BOUND_VARIABLE_418395 (ho_4593 BOUND_VARIABLE_418394 BOUND_VARIABLE_258219)))))) (let ((_let_15292 (forall ((BOUND_VARIABLE_418412 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418411 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_418410 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258206 tptp.code_integer) (BOUND_VARIABLE_258207 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11775 BOUND_VARIABLE_418412) BOUND_VARIABLE_418411) BOUND_VARIABLE_418410) BOUND_VARIABLE_258206) BOUND_VARIABLE_258207) (ho_5405 (ho_5413 (ho_11435 (ho_11434 k_11433 BOUND_VARIABLE_418412) BOUND_VARIABLE_418411) (ho_5398 BOUND_VARIABLE_418410 BOUND_VARIABLE_258206)) BOUND_VARIABLE_258207))))) (let ((_let_15293 (forall ((BOUND_VARIABLE_418434 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418433 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_418432 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258192 tptp.code_integer) (BOUND_VARIABLE_258193 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_11428 (ho_11427 k_11776 BOUND_VARIABLE_418434) BOUND_VARIABLE_418433) BOUND_VARIABLE_418432) BOUND_VARIABLE_258192) BOUND_VARIABLE_258193) (ho_5405 (ho_5413 BOUND_VARIABLE_418434 (ho_5398 (ho_11431 (ho_11430 k_11429 BOUND_VARIABLE_418433) BOUND_VARIABLE_418432) BOUND_VARIABLE_258192)) BOUND_VARIABLE_258193))))) (let ((_let_15294 (forall ((BOUND_VARIABLE_418454 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418453 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258180 tptp.code_integer) (BOUND_VARIABLE_258181 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11777 BOUND_VARIABLE_418454) BOUND_VARIABLE_418453) BOUND_VARIABLE_258180) BOUND_VARIABLE_258181) (ho_5405 (ho_5413 BOUND_VARIABLE_418454 (ho_5398 BOUND_VARIABLE_418453 BOUND_VARIABLE_258180)) BOUND_VARIABLE_258181))))) (let ((_let_15295 (forall ((BOUND_VARIABLE_418473 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418472 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_418471 |u_(-> tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258167 tptp.code_integer) (BOUND_VARIABLE_258168 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6659 (ho_11438 (ho_11437 k_11778 BOUND_VARIABLE_418473) BOUND_VARIABLE_418472) BOUND_VARIABLE_418471) BOUND_VARIABLE_258167) BOUND_VARIABLE_258168) (ho_5405 (ho_5413 BOUND_VARIABLE_418473 (ho_5398 (ho_7042 (ho_11440 k_11439 BOUND_VARIABLE_418472) BOUND_VARIABLE_418471) BOUND_VARIABLE_258167)) BOUND_VARIABLE_258168))))) (let ((_let_15296 (forall ((BOUND_VARIABLE_418494 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418493 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_418492 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258156 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11779 BOUND_VARIABLE_418494) BOUND_VARIABLE_418493) BOUND_VARIABLE_418492) BOUND_VARIABLE_258156) (ho_4891 BOUND_VARIABLE_418494 (ho_4914 BOUND_VARIABLE_418493 (ho_4914 BOUND_VARIABLE_418492 BOUND_VARIABLE_258156))))))) (let ((_let_15297 (forall ((BOUND_VARIABLE_418512 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418511 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_418510 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258144 tptp.int)) (= (ho_4891 (ho_6929 (ho_10938 (ho_10937 k_11780 BOUND_VARIABLE_418512) BOUND_VARIABLE_418511) BOUND_VARIABLE_418510) BOUND_VARIABLE_258144) (ho_4891 BOUND_VARIABLE_418512 (ho_4914 (ho_8181 (ho_8180 k_11443 BOUND_VARIABLE_418511) BOUND_VARIABLE_418510) BOUND_VARIABLE_258144)))))) (let ((_let_15298 (forall ((BOUND_VARIABLE_418531 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418530 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418529 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258132 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 (ho_10945 k_11781 BOUND_VARIABLE_418531) BOUND_VARIABLE_418530) BOUND_VARIABLE_418529) BOUND_VARIABLE_258132) (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_418531) BOUND_VARIABLE_418530) (ho_4914 BOUND_VARIABLE_418529 BOUND_VARIABLE_258132)))))) (let ((_let_15299 (forall ((BOUND_VARIABLE_418548 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418547 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258122 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11782 BOUND_VARIABLE_418548) BOUND_VARIABLE_418547) BOUND_VARIABLE_258122) (ho_4891 BOUND_VARIABLE_418548 (ho_4914 BOUND_VARIABLE_418547 BOUND_VARIABLE_258122)))))) (let ((_let_15300 (forall ((BOUND_VARIABLE_418564 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418563 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418562 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258111 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11783 BOUND_VARIABLE_418564) BOUND_VARIABLE_418563) BOUND_VARIABLE_418562) BOUND_VARIABLE_258111) (ho_6671 (ho_11458 (ho_11457 k_11456 BOUND_VARIABLE_418564) BOUND_VARIABLE_418563) (ho_4891 BOUND_VARIABLE_418562 BOUND_VARIABLE_258111)))))) (let ((_let_15301 (forall ((BOUND_VARIABLE_418583 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418582 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418581 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258099 tptp.int)) (= (ho_5439 (ho_6939 (ho_11454 (ho_11453 k_11784 BOUND_VARIABLE_418583) BOUND_VARIABLE_418582) BOUND_VARIABLE_418581) BOUND_VARIABLE_258099) (ho_6671 BOUND_VARIABLE_418583 (ho_4891 (ho_6935 (ho_6934 k_10563 BOUND_VARIABLE_418582) BOUND_VARIABLE_418581) BOUND_VARIABLE_258099)))))) (let ((_let_15302 (forall ((BOUND_VARIABLE_418602 |u_(-> tptp.num tptp.num)|) (BOUND_VARIABLE_418601 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418600 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258087 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 (ho_11465 k_11785 BOUND_VARIABLE_418602) BOUND_VARIABLE_418601) BOUND_VARIABLE_418600) BOUND_VARIABLE_258087) (ho_6671 (ho_11468 (ho_11467 k_11466 BOUND_VARIABLE_418602) BOUND_VARIABLE_418601) (ho_4891 BOUND_VARIABLE_418600 BOUND_VARIABLE_258087)))))) (let ((_let_15303 (forall ((BOUND_VARIABLE_418619 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418618 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258077 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11786 BOUND_VARIABLE_418619) BOUND_VARIABLE_418618) BOUND_VARIABLE_258077) (ho_6671 BOUND_VARIABLE_418619 (ho_4891 BOUND_VARIABLE_418618 BOUND_VARIABLE_258077)))))) (let ((_let_15304 (forall ((BOUND_VARIABLE_418635 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418634 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418633 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258066 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11787 BOUND_VARIABLE_418635) BOUND_VARIABLE_418634) BOUND_VARIABLE_418633) BOUND_VARIABLE_258066) (ho_5235 (ho_7258 (ho_10579 k_10578 BOUND_VARIABLE_418635) BOUND_VARIABLE_418634) (ho_4593 BOUND_VARIABLE_418633 BOUND_VARIABLE_258066)))))) (let ((_let_15305 (forall ((BOUND_VARIABLE_418654 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418653 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418652 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258055 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 (ho_10588 k_11788 BOUND_VARIABLE_418654) BOUND_VARIABLE_418653) BOUND_VARIABLE_418652) BOUND_VARIABLE_258055) (ho_5235 BOUND_VARIABLE_418654 (ho_5235 BOUND_VARIABLE_418653 (ho_4593 BOUND_VARIABLE_418652 BOUND_VARIABLE_258055))))))) (let ((_let_15306 (forall ((BOUND_VARIABLE_418670 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418669 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_258045 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11789 BOUND_VARIABLE_418670) BOUND_VARIABLE_418669) BOUND_VARIABLE_258045) (ho_6671 BOUND_VARIABLE_418670 (ho_4891 BOUND_VARIABLE_418669 BOUND_VARIABLE_258045)))))) (let ((_let_15307 (forall ((BOUND_VARIABLE_418686 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418685 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418684 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_258035 tptp.int)) (= (ho_5439 (ho_11448 (ho_11447 (ho_11446 k_11790 BOUND_VARIABLE_418686) BOUND_VARIABLE_418685) BOUND_VARIABLE_418684) BOUND_VARIABLE_258035) (ho_6671 BOUND_VARIABLE_418686 (ho_4891 BOUND_VARIABLE_418685 (ho_4914 BOUND_VARIABLE_418684 BOUND_VARIABLE_258035))))))) (let ((_let_15308 (forall ((BOUND_VARIABLE_418702 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418701 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_258025 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11791 BOUND_VARIABLE_418702) BOUND_VARIABLE_418701) BOUND_VARIABLE_258025) (ho_5235 BOUND_VARIABLE_418702 (ho_4593 BOUND_VARIABLE_418701 BOUND_VARIABLE_258025)))))) (let ((_let_15309 (forall ((BOUND_VARIABLE_418718 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418717 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_418716 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_258014 tptp.nat)) (= (ho_4593 (ho_10577 (ho_10576 (ho_10584 k_11792 BOUND_VARIABLE_418718) BOUND_VARIABLE_418717) BOUND_VARIABLE_418716) BOUND_VARIABLE_258014) (ho_5235 BOUND_VARIABLE_418718 (ho_4593 (ho_10577 (ho_10576 k_10575 BOUND_VARIABLE_418717) BOUND_VARIABLE_418716) BOUND_VARIABLE_258014)))))) (let ((_let_15310 (forall ((BOUND_VARIABLE_418736 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418735 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_258002 tptp.code_integer) (BOUND_VARIABLE_258003 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11793 BOUND_VARIABLE_418736) BOUND_VARIABLE_418735) BOUND_VARIABLE_258002) BOUND_VARIABLE_258003) (ho_5405 (ho_5413 BOUND_VARIABLE_418736 (ho_5398 BOUND_VARIABLE_418735 BOUND_VARIABLE_258002)) BOUND_VARIABLE_258003))))) (let ((_let_15311 (forall ((BOUND_VARIABLE_418753 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418752 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_257991 tptp.code_integer) (BOUND_VARIABLE_257992 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11794 BOUND_VARIABLE_418753) BOUND_VARIABLE_418752) BOUND_VARIABLE_257991) BOUND_VARIABLE_257992) (ho_5405 (ho_5413 BOUND_VARIABLE_418753 (ho_5398 BOUND_VARIABLE_418752 BOUND_VARIABLE_257991)) BOUND_VARIABLE_257992))))) (let ((_let_15312 (forall ((BOUND_VARIABLE_418769 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418768 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257982 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11795 BOUND_VARIABLE_418769) BOUND_VARIABLE_418768) BOUND_VARIABLE_257982) (ho_4891 BOUND_VARIABLE_418769 (ho_4914 BOUND_VARIABLE_418768 BOUND_VARIABLE_257982)))))) (let ((_let_15313 (forall ((BOUND_VARIABLE_418783 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418782 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257973 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11796 BOUND_VARIABLE_418783) BOUND_VARIABLE_418782) BOUND_VARIABLE_257973) (ho_4891 BOUND_VARIABLE_418783 (ho_4914 BOUND_VARIABLE_418782 BOUND_VARIABLE_257973)))))) (let ((_let_15314 (forall ((BOUND_VARIABLE_418797 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418796 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257964 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11797 BOUND_VARIABLE_418797) BOUND_VARIABLE_418796) BOUND_VARIABLE_257964) (ho_4855 BOUND_VARIABLE_418797 (ho_4855 BOUND_VARIABLE_418796 BOUND_VARIABLE_257964)))))) (let ((_let_15315 (forall ((BOUND_VARIABLE_418811 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418810 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257955 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11798 BOUND_VARIABLE_418811) BOUND_VARIABLE_418810) BOUND_VARIABLE_257955) (ho_4855 BOUND_VARIABLE_418811 (ho_4855 BOUND_VARIABLE_418810 BOUND_VARIABLE_257955)))))) (let ((_let_15316 (forall ((BOUND_VARIABLE_418825 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418824 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257946 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11799 BOUND_VARIABLE_418825) BOUND_VARIABLE_418824) BOUND_VARIABLE_257946) (ho_6671 BOUND_VARIABLE_418825 (ho_4891 BOUND_VARIABLE_418824 BOUND_VARIABLE_257946)))))) (let ((_let_15317 (forall ((BOUND_VARIABLE_418839 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418838 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257937 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11800 BOUND_VARIABLE_418839) BOUND_VARIABLE_418838) BOUND_VARIABLE_257937) (ho_6671 BOUND_VARIABLE_418839 (ho_4891 BOUND_VARIABLE_418838 BOUND_VARIABLE_257937)))))) (let ((_let_15318 (forall ((BOUND_VARIABLE_418853 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418852 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257928 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11801 BOUND_VARIABLE_418853) BOUND_VARIABLE_418852) BOUND_VARIABLE_257928) (ho_5235 BOUND_VARIABLE_418853 (ho_4593 BOUND_VARIABLE_418852 BOUND_VARIABLE_257928)))))) (let ((_let_15319 (forall ((BOUND_VARIABLE_418867 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418866 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257919 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11802 BOUND_VARIABLE_418867) BOUND_VARIABLE_418866) BOUND_VARIABLE_257919) (ho_5235 BOUND_VARIABLE_418867 (ho_4593 BOUND_VARIABLE_418866 BOUND_VARIABLE_257919)))))) (let ((_let_15320 (forall ((BOUND_VARIABLE_418882 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418881 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_257908 tptp.code_integer) (BOUND_VARIABLE_257909 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11803 BOUND_VARIABLE_418882) BOUND_VARIABLE_418881) BOUND_VARIABLE_257908) BOUND_VARIABLE_257909) (ho_5405 (ho_5413 BOUND_VARIABLE_418882 (ho_5398 BOUND_VARIABLE_418881 BOUND_VARIABLE_257908)) BOUND_VARIABLE_257909))))) (let ((_let_15321 (forall ((BOUND_VARIABLE_418899 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_418898 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_257897 tptp.code_integer) (BOUND_VARIABLE_257898 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11804 BOUND_VARIABLE_418899) BOUND_VARIABLE_418898) BOUND_VARIABLE_257897) BOUND_VARIABLE_257898) (ho_5405 (ho_5413 BOUND_VARIABLE_418899 (ho_5398 BOUND_VARIABLE_418898 BOUND_VARIABLE_257897)) BOUND_VARIABLE_257898))))) (let ((_let_15322 (forall ((BOUND_VARIABLE_418915 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418914 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257888 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11805 BOUND_VARIABLE_418915) BOUND_VARIABLE_418914) BOUND_VARIABLE_257888) (ho_4891 BOUND_VARIABLE_418915 (ho_4914 BOUND_VARIABLE_418914 BOUND_VARIABLE_257888)))))) (let ((_let_15323 (forall ((BOUND_VARIABLE_418929 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_418928 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257879 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11806 BOUND_VARIABLE_418929) BOUND_VARIABLE_418928) BOUND_VARIABLE_257879) (ho_4891 BOUND_VARIABLE_418929 (ho_4914 BOUND_VARIABLE_418928 BOUND_VARIABLE_257879)))))) (let ((_let_15324 (forall ((BOUND_VARIABLE_418943 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418942 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257870 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11807 BOUND_VARIABLE_418943) BOUND_VARIABLE_418942) BOUND_VARIABLE_257870) (ho_4855 BOUND_VARIABLE_418943 (ho_4855 BOUND_VARIABLE_418942 BOUND_VARIABLE_257870)))))) (let ((_let_15325 (forall ((BOUND_VARIABLE_418957 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_418956 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257861 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11808 BOUND_VARIABLE_418957) BOUND_VARIABLE_418956) BOUND_VARIABLE_257861) (ho_4855 BOUND_VARIABLE_418957 (ho_4855 BOUND_VARIABLE_418956 BOUND_VARIABLE_257861)))))) (let ((_let_15326 (forall ((BOUND_VARIABLE_418971 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418970 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257852 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11809 BOUND_VARIABLE_418971) BOUND_VARIABLE_418970) BOUND_VARIABLE_257852) (ho_6671 BOUND_VARIABLE_418971 (ho_4891 BOUND_VARIABLE_418970 BOUND_VARIABLE_257852)))))) (let ((_let_15327 (forall ((BOUND_VARIABLE_418985 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_418984 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257843 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11810 BOUND_VARIABLE_418985) BOUND_VARIABLE_418984) BOUND_VARIABLE_257843) (ho_6671 BOUND_VARIABLE_418985 (ho_4891 BOUND_VARIABLE_418984 BOUND_VARIABLE_257843)))))) (let ((_let_15328 (forall ((BOUND_VARIABLE_418999 |u_(-> Bool Bool)|) (BOUND_VARIABLE_418998 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257834 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11811 BOUND_VARIABLE_418999) BOUND_VARIABLE_418998) BOUND_VARIABLE_257834) (ho_5235 BOUND_VARIABLE_418999 (ho_4593 BOUND_VARIABLE_418998 BOUND_VARIABLE_257834)))))) (let ((_let_15329 (forall ((BOUND_VARIABLE_419013 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419012 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257825 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11812 BOUND_VARIABLE_419013) BOUND_VARIABLE_419012) BOUND_VARIABLE_257825) (ho_5235 BOUND_VARIABLE_419013 (ho_4593 BOUND_VARIABLE_419012 BOUND_VARIABLE_257825)))))) (let ((_let_15330 (forall ((BOUND_VARIABLE_419028 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_419027 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_257814 tptp.code_integer) (BOUND_VARIABLE_257815 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11813 BOUND_VARIABLE_419028) BOUND_VARIABLE_419027) BOUND_VARIABLE_257814) BOUND_VARIABLE_257815) (ho_5405 (ho_5413 BOUND_VARIABLE_419028 (ho_5398 BOUND_VARIABLE_419027 BOUND_VARIABLE_257814)) BOUND_VARIABLE_257815))))) (let ((_let_15331 (forall ((BOUND_VARIABLE_419044 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_419043 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257801 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 k_11814 BOUND_VARIABLE_419044) BOUND_VARIABLE_419043) BOUND_VARIABLE_257801) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_419044 (ho_5531 k_5530 BOUND_VARIABLE_257801))) (ho_4914 BOUND_VARIABLE_419043 (ho_5531 k_5532 BOUND_VARIABLE_257801))))))) (let ((_let_15332 (forall ((BOUND_VARIABLE_257786 tptp.set_int) (BOUND_VARIABLE_419061 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257788 tptp.product_prod_int_int)) (= (ho_4599 (ho_5529 (ho_11356 k_11815 BOUND_VARIABLE_257786) BOUND_VARIABLE_419061) BOUND_VARIABLE_257788) (ho_5218 (ho_5250 (ho_6846 (ho_6845 k_11357 BOUND_VARIABLE_257786) BOUND_VARIABLE_419061) (ho_5531 k_5530 BOUND_VARIABLE_257788)) (ho_5531 k_5532 BOUND_VARIABLE_257788)))))) (let ((_let_15333 (forall ((BOUND_VARIABLE_419079 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419078 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257779 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11816 BOUND_VARIABLE_419079) BOUND_VARIABLE_419078) BOUND_VARIABLE_257779) (ho_4855 BOUND_VARIABLE_419079 (ho_4855 BOUND_VARIABLE_419078 BOUND_VARIABLE_257779)))))) (let ((_let_15334 (forall ((BOUND_VARIABLE_419093 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419092 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257770 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11817 BOUND_VARIABLE_419093) BOUND_VARIABLE_419092) BOUND_VARIABLE_257770) (ho_6671 BOUND_VARIABLE_419093 (ho_4891 BOUND_VARIABLE_419092 BOUND_VARIABLE_257770)))))) (let ((_let_15335 (forall ((BOUND_VARIABLE_419107 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419106 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257761 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11818 BOUND_VARIABLE_419107) BOUND_VARIABLE_419106) BOUND_VARIABLE_257761) (ho_4855 BOUND_VARIABLE_419107 (ho_4855 BOUND_VARIABLE_419106 BOUND_VARIABLE_257761)))))) (let ((_let_15336 (forall ((BOUND_VARIABLE_419121 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419120 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257752 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11819 BOUND_VARIABLE_419121) BOUND_VARIABLE_419120) BOUND_VARIABLE_257752) (ho_5235 BOUND_VARIABLE_419121 (ho_4593 BOUND_VARIABLE_419120 BOUND_VARIABLE_257752)))))) (let ((_let_15337 (forall ((BOUND_VARIABLE_419135 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419134 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257743 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11820 BOUND_VARIABLE_419135) BOUND_VARIABLE_419134) BOUND_VARIABLE_257743) (ho_6671 BOUND_VARIABLE_419135 (ho_4891 BOUND_VARIABLE_419134 BOUND_VARIABLE_257743)))))) (let ((_let_15338 (forall ((BOUND_VARIABLE_419149 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_419148 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257734 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11821 BOUND_VARIABLE_419149) BOUND_VARIABLE_419148) BOUND_VARIABLE_257734) (ho_4891 BOUND_VARIABLE_419149 (ho_4914 BOUND_VARIABLE_419148 BOUND_VARIABLE_257734)))))) (let ((_let_15339 (forall ((BOUND_VARIABLE_419163 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419162 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257725 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11822 BOUND_VARIABLE_419163) BOUND_VARIABLE_419162) BOUND_VARIABLE_257725) (ho_6671 BOUND_VARIABLE_419163 (ho_4891 BOUND_VARIABLE_419162 BOUND_VARIABLE_257725)))))) (let ((_let_15340 (forall ((BOUND_VARIABLE_419177 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419176 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257716 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11823 BOUND_VARIABLE_419177) BOUND_VARIABLE_419176) BOUND_VARIABLE_257716) (ho_4855 BOUND_VARIABLE_419177 (ho_4855 BOUND_VARIABLE_419176 BOUND_VARIABLE_257716)))))) (let ((_let_15341 (forall ((BOUND_VARIABLE_419191 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419190 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257707 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11824 BOUND_VARIABLE_419191) BOUND_VARIABLE_419190) BOUND_VARIABLE_257707) (ho_6671 BOUND_VARIABLE_419191 (ho_4891 BOUND_VARIABLE_419190 BOUND_VARIABLE_257707)))))) (let ((_let_15342 (forall ((BOUND_VARIABLE_419205 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419204 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257698 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11825 BOUND_VARIABLE_419205) BOUND_VARIABLE_419204) BOUND_VARIABLE_257698) (ho_6671 BOUND_VARIABLE_419205 (ho_4891 BOUND_VARIABLE_419204 BOUND_VARIABLE_257698)))))) (let ((_let_15343 (forall ((BOUND_VARIABLE_419219 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419218 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257689 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11826 BOUND_VARIABLE_419219) BOUND_VARIABLE_419218) BOUND_VARIABLE_257689) (ho_6671 BOUND_VARIABLE_419219 (ho_4891 BOUND_VARIABLE_419218 BOUND_VARIABLE_257689)))))) (let ((_let_15344 (forall ((BOUND_VARIABLE_419233 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419232 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257680 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11827 BOUND_VARIABLE_419233) BOUND_VARIABLE_419232) BOUND_VARIABLE_257680) (ho_5235 BOUND_VARIABLE_419233 (ho_4593 BOUND_VARIABLE_419232 BOUND_VARIABLE_257680)))))) (let ((_let_15345 (forall ((BOUND_VARIABLE_419247 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419246 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257671 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11828 BOUND_VARIABLE_419247) BOUND_VARIABLE_419246) BOUND_VARIABLE_257671) (ho_5235 BOUND_VARIABLE_419247 (ho_4593 BOUND_VARIABLE_419246 BOUND_VARIABLE_257671)))))) (let ((_let_15346 (forall ((BOUND_VARIABLE_419261 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_419260 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257662 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11829 BOUND_VARIABLE_419261) BOUND_VARIABLE_419260) BOUND_VARIABLE_257662) (ho_4891 BOUND_VARIABLE_419261 (ho_4914 BOUND_VARIABLE_419260 BOUND_VARIABLE_257662)))))) (let ((_let_15347 (forall ((BOUND_VARIABLE_419275 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419274 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257653 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11830 BOUND_VARIABLE_419275) BOUND_VARIABLE_419274) BOUND_VARIABLE_257653) (ho_5235 BOUND_VARIABLE_419275 (ho_4593 BOUND_VARIABLE_419274 BOUND_VARIABLE_257653)))))) (let ((_let_15348 (forall ((BOUND_VARIABLE_419289 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419288 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257644 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11831 BOUND_VARIABLE_419289) BOUND_VARIABLE_419288) BOUND_VARIABLE_257644) (ho_4855 BOUND_VARIABLE_419289 (ho_4855 BOUND_VARIABLE_419288 BOUND_VARIABLE_257644)))))) (let ((_let_15349 (forall ((BOUND_VARIABLE_419303 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419302 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257635 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11832 BOUND_VARIABLE_419303) BOUND_VARIABLE_419302) BOUND_VARIABLE_257635) (ho_5235 BOUND_VARIABLE_419303 (ho_4593 BOUND_VARIABLE_419302 BOUND_VARIABLE_257635)))))) (let ((_let_15350 (forall ((BOUND_VARIABLE_419317 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419316 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257626 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11833 BOUND_VARIABLE_419317) BOUND_VARIABLE_419316) BOUND_VARIABLE_257626) (ho_6671 BOUND_VARIABLE_419317 (ho_4891 BOUND_VARIABLE_419316 BOUND_VARIABLE_257626)))))) (let ((_let_15351 (forall ((BOUND_VARIABLE_419331 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419330 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257617 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11834 BOUND_VARIABLE_419331) BOUND_VARIABLE_419330) BOUND_VARIABLE_257617) (ho_5235 BOUND_VARIABLE_419331 (ho_4593 BOUND_VARIABLE_419330 BOUND_VARIABLE_257617)))))) (let ((_let_15352 (forall ((BOUND_VARIABLE_419345 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419344 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257608 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11835 BOUND_VARIABLE_419345) BOUND_VARIABLE_419344) BOUND_VARIABLE_257608) (ho_5235 BOUND_VARIABLE_419345 (ho_4593 BOUND_VARIABLE_419344 BOUND_VARIABLE_257608)))))) (let ((_let_15353 (forall ((BOUND_VARIABLE_419359 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419358 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257599 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11836 BOUND_VARIABLE_419359) BOUND_VARIABLE_419358) BOUND_VARIABLE_257599) (ho_4855 BOUND_VARIABLE_419359 (ho_4855 BOUND_VARIABLE_419358 BOUND_VARIABLE_257599)))))) (let ((_let_15354 (forall ((BOUND_VARIABLE_419373 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419372 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257590 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11837 BOUND_VARIABLE_419373) BOUND_VARIABLE_419372) BOUND_VARIABLE_257590) (ho_6671 BOUND_VARIABLE_419373 (ho_4891 BOUND_VARIABLE_419372 BOUND_VARIABLE_257590)))))) (let ((_let_15355 (forall ((BOUND_VARIABLE_419387 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419386 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257581 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11838 BOUND_VARIABLE_419387) BOUND_VARIABLE_419386) BOUND_VARIABLE_257581) (ho_4855 BOUND_VARIABLE_419387 (ho_4855 BOUND_VARIABLE_419386 BOUND_VARIABLE_257581)))))) (let ((_let_15356 (forall ((BOUND_VARIABLE_419401 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419400 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257572 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11839 BOUND_VARIABLE_419401) BOUND_VARIABLE_419400) BOUND_VARIABLE_257572) (ho_5235 BOUND_VARIABLE_419401 (ho_4593 BOUND_VARIABLE_419400 BOUND_VARIABLE_257572)))))) (let ((_let_15357 (forall ((BOUND_VARIABLE_419415 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419414 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257563 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11840 BOUND_VARIABLE_419415) BOUND_VARIABLE_419414) BOUND_VARIABLE_257563) (ho_6671 BOUND_VARIABLE_419415 (ho_4891 BOUND_VARIABLE_419414 BOUND_VARIABLE_257563)))))) (let ((_let_15358 (forall ((BOUND_VARIABLE_419429 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_419428 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257554 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11841 BOUND_VARIABLE_419429) BOUND_VARIABLE_419428) BOUND_VARIABLE_257554) (ho_4891 BOUND_VARIABLE_419429 (ho_4914 BOUND_VARIABLE_419428 BOUND_VARIABLE_257554)))))) (let ((_let_15359 (forall ((BOUND_VARIABLE_419443 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419442 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257545 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11842 BOUND_VARIABLE_419443) BOUND_VARIABLE_419442) BOUND_VARIABLE_257545) (ho_6671 BOUND_VARIABLE_419443 (ho_4891 BOUND_VARIABLE_419442 BOUND_VARIABLE_257545)))))) (let ((_let_15360 (forall ((BOUND_VARIABLE_419457 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419456 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257536 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11843 BOUND_VARIABLE_419457) BOUND_VARIABLE_419456) BOUND_VARIABLE_257536) (ho_4855 BOUND_VARIABLE_419457 (ho_4855 BOUND_VARIABLE_419456 BOUND_VARIABLE_257536)))))) (let ((_let_15361 (forall ((BOUND_VARIABLE_419471 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419470 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257527 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11844 BOUND_VARIABLE_419471) BOUND_VARIABLE_419470) BOUND_VARIABLE_257527) (ho_6671 BOUND_VARIABLE_419471 (ho_4891 BOUND_VARIABLE_419470 BOUND_VARIABLE_257527)))))) (let ((_let_15362 (forall ((BOUND_VARIABLE_419485 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419484 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257518 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11845 BOUND_VARIABLE_419485) BOUND_VARIABLE_419484) BOUND_VARIABLE_257518) (ho_6671 BOUND_VARIABLE_419485 (ho_4891 BOUND_VARIABLE_419484 BOUND_VARIABLE_257518)))))) (let ((_let_15363 (forall ((BOUND_VARIABLE_419499 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419498 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257509 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11846 BOUND_VARIABLE_419499) BOUND_VARIABLE_419498) BOUND_VARIABLE_257509) (ho_6671 BOUND_VARIABLE_419499 (ho_4891 BOUND_VARIABLE_419498 BOUND_VARIABLE_257509)))))) (let ((_let_15364 (forall ((BOUND_VARIABLE_419513 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419512 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257500 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11847 BOUND_VARIABLE_419513) BOUND_VARIABLE_419512) BOUND_VARIABLE_257500) (ho_5235 BOUND_VARIABLE_419513 (ho_4593 BOUND_VARIABLE_419512 BOUND_VARIABLE_257500)))))) (let ((_let_15365 (forall ((BOUND_VARIABLE_419527 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419526 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257491 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11848 BOUND_VARIABLE_419527) BOUND_VARIABLE_419526) BOUND_VARIABLE_257491) (ho_5235 BOUND_VARIABLE_419527 (ho_4593 BOUND_VARIABLE_419526 BOUND_VARIABLE_257491)))))) (let ((_let_15366 (forall ((BOUND_VARIABLE_419541 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_419540 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257482 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11849 BOUND_VARIABLE_419541) BOUND_VARIABLE_419540) BOUND_VARIABLE_257482) (ho_4891 BOUND_VARIABLE_419541 (ho_4914 BOUND_VARIABLE_419540 BOUND_VARIABLE_257482)))))) (let ((_let_15367 (forall ((BOUND_VARIABLE_419555 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419554 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257473 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11850 BOUND_VARIABLE_419555) BOUND_VARIABLE_419554) BOUND_VARIABLE_257473) (ho_5235 BOUND_VARIABLE_419555 (ho_4593 BOUND_VARIABLE_419554 BOUND_VARIABLE_257473)))))) (let ((_let_15368 (forall ((BOUND_VARIABLE_419569 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419568 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257464 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11851 BOUND_VARIABLE_419569) BOUND_VARIABLE_419568) BOUND_VARIABLE_257464) (ho_4855 BOUND_VARIABLE_419569 (ho_4855 BOUND_VARIABLE_419568 BOUND_VARIABLE_257464)))))) (let ((_let_15369 (forall ((BOUND_VARIABLE_419583 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419582 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257455 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11852 BOUND_VARIABLE_419583) BOUND_VARIABLE_419582) BOUND_VARIABLE_257455) (ho_5235 BOUND_VARIABLE_419583 (ho_4593 BOUND_VARIABLE_419582 BOUND_VARIABLE_257455)))))) (let ((_let_15370 (forall ((BOUND_VARIABLE_419597 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419596 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257446 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11853 BOUND_VARIABLE_419597) BOUND_VARIABLE_419596) BOUND_VARIABLE_257446) (ho_6671 BOUND_VARIABLE_419597 (ho_4891 BOUND_VARIABLE_419596 BOUND_VARIABLE_257446)))))) (let ((_let_15371 (forall ((BOUND_VARIABLE_419611 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419610 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257437 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11854 BOUND_VARIABLE_419611) BOUND_VARIABLE_419610) BOUND_VARIABLE_257437) (ho_5235 BOUND_VARIABLE_419611 (ho_4593 BOUND_VARIABLE_419610 BOUND_VARIABLE_257437)))))) (let ((_let_15372 (forall ((BOUND_VARIABLE_419625 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419624 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257428 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11855 BOUND_VARIABLE_419625) BOUND_VARIABLE_419624) BOUND_VARIABLE_257428) (ho_5235 BOUND_VARIABLE_419625 (ho_4593 BOUND_VARIABLE_419624 BOUND_VARIABLE_257428)))))) (let ((_let_15373 (forall ((BOUND_VARIABLE_419639 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419638 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257419 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11856 BOUND_VARIABLE_419639) BOUND_VARIABLE_419638) BOUND_VARIABLE_257419) (ho_4855 BOUND_VARIABLE_419639 (ho_4855 BOUND_VARIABLE_419638 BOUND_VARIABLE_257419)))))) (let ((_let_15374 (forall ((BOUND_VARIABLE_419653 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419652 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257410 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11857 BOUND_VARIABLE_419653) BOUND_VARIABLE_419652) BOUND_VARIABLE_257410) (ho_6671 BOUND_VARIABLE_419653 (ho_4891 BOUND_VARIABLE_419652 BOUND_VARIABLE_257410)))))) (let ((_let_15375 (forall ((BOUND_VARIABLE_419667 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419666 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257401 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11858 BOUND_VARIABLE_419667) BOUND_VARIABLE_419666) BOUND_VARIABLE_257401) (ho_4855 BOUND_VARIABLE_419667 (ho_4855 BOUND_VARIABLE_419666 BOUND_VARIABLE_257401)))))) (let ((_let_15376 (forall ((BOUND_VARIABLE_419681 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419680 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257392 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11859 BOUND_VARIABLE_419681) BOUND_VARIABLE_419680) BOUND_VARIABLE_257392) (ho_5235 BOUND_VARIABLE_419681 (ho_4593 BOUND_VARIABLE_419680 BOUND_VARIABLE_257392)))))) (let ((_let_15377 (forall ((BOUND_VARIABLE_419695 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419694 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257383 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11860 BOUND_VARIABLE_419695) BOUND_VARIABLE_419694) BOUND_VARIABLE_257383) (ho_6671 BOUND_VARIABLE_419695 (ho_4891 BOUND_VARIABLE_419694 BOUND_VARIABLE_257383)))))) (let ((_let_15378 (forall ((BOUND_VARIABLE_419709 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_419708 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257374 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11861 BOUND_VARIABLE_419709) BOUND_VARIABLE_419708) BOUND_VARIABLE_257374) (ho_4891 BOUND_VARIABLE_419709 (ho_4914 BOUND_VARIABLE_419708 BOUND_VARIABLE_257374)))))) (let ((_let_15379 (forall ((BOUND_VARIABLE_419723 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419722 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257365 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11862 BOUND_VARIABLE_419723) BOUND_VARIABLE_419722) BOUND_VARIABLE_257365) (ho_6671 BOUND_VARIABLE_419723 (ho_4891 BOUND_VARIABLE_419722 BOUND_VARIABLE_257365)))))) (let ((_let_15380 (forall ((BOUND_VARIABLE_419737 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419736 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257356 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11863 BOUND_VARIABLE_419737) BOUND_VARIABLE_419736) BOUND_VARIABLE_257356) (ho_4855 BOUND_VARIABLE_419737 (ho_4855 BOUND_VARIABLE_419736 BOUND_VARIABLE_257356)))))) (let ((_let_15381 (forall ((BOUND_VARIABLE_419751 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419750 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257347 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11864 BOUND_VARIABLE_419751) BOUND_VARIABLE_419750) BOUND_VARIABLE_257347) (ho_6671 BOUND_VARIABLE_419751 (ho_4891 BOUND_VARIABLE_419750 BOUND_VARIABLE_257347)))))) (let ((_let_15382 (forall ((BOUND_VARIABLE_419765 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419764 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257338 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11865 BOUND_VARIABLE_419765) BOUND_VARIABLE_419764) BOUND_VARIABLE_257338) (ho_6671 BOUND_VARIABLE_419765 (ho_4891 BOUND_VARIABLE_419764 BOUND_VARIABLE_257338)))))) (let ((_let_15383 (forall ((BOUND_VARIABLE_419779 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419778 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257329 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11866 BOUND_VARIABLE_419779) BOUND_VARIABLE_419778) BOUND_VARIABLE_257329) (ho_6671 BOUND_VARIABLE_419779 (ho_4891 BOUND_VARIABLE_419778 BOUND_VARIABLE_257329)))))) (let ((_let_15384 (forall ((BOUND_VARIABLE_419793 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419792 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257320 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11867 BOUND_VARIABLE_419793) BOUND_VARIABLE_419792) BOUND_VARIABLE_257320) (ho_5235 BOUND_VARIABLE_419793 (ho_4593 BOUND_VARIABLE_419792 BOUND_VARIABLE_257320)))))) (let ((_let_15385 (forall ((BOUND_VARIABLE_419807 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419806 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257311 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11868 BOUND_VARIABLE_419807) BOUND_VARIABLE_419806) BOUND_VARIABLE_257311) (ho_5235 BOUND_VARIABLE_419807 (ho_4593 BOUND_VARIABLE_419806 BOUND_VARIABLE_257311)))))) (let ((_let_15386 (forall ((BOUND_VARIABLE_419821 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_419820 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257302 tptp.int)) (= (ho_4891 (ho_6929 (ho_6928 k_11869 BOUND_VARIABLE_419821) BOUND_VARIABLE_419820) BOUND_VARIABLE_257302) (ho_4891 BOUND_VARIABLE_419821 (ho_4914 BOUND_VARIABLE_419820 BOUND_VARIABLE_257302)))))) (let ((_let_15387 (forall ((BOUND_VARIABLE_419835 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419834 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257293 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11870 BOUND_VARIABLE_419835) BOUND_VARIABLE_419834) BOUND_VARIABLE_257293) (ho_5235 BOUND_VARIABLE_419835 (ho_4593 BOUND_VARIABLE_419834 BOUND_VARIABLE_257293)))))) (let ((_let_15388 (forall ((BOUND_VARIABLE_419849 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419848 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257284 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11871 BOUND_VARIABLE_419849) BOUND_VARIABLE_419848) BOUND_VARIABLE_257284) (ho_4855 BOUND_VARIABLE_419849 (ho_4855 BOUND_VARIABLE_419848 BOUND_VARIABLE_257284)))))) (let ((_let_15389 (forall ((BOUND_VARIABLE_419863 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419862 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257275 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11872 BOUND_VARIABLE_419863) BOUND_VARIABLE_419862) BOUND_VARIABLE_257275) (ho_5235 BOUND_VARIABLE_419863 (ho_4593 BOUND_VARIABLE_419862 BOUND_VARIABLE_257275)))))) (let ((_let_15390 (forall ((BOUND_VARIABLE_419877 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_419876 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257266 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11873 BOUND_VARIABLE_419877) BOUND_VARIABLE_419876) BOUND_VARIABLE_257266) (ho_6671 BOUND_VARIABLE_419877 (ho_4891 BOUND_VARIABLE_419876 BOUND_VARIABLE_257266)))))) (let ((_let_15391 (forall ((BOUND_VARIABLE_419891 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419890 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257257 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11874 BOUND_VARIABLE_419891) BOUND_VARIABLE_419890) BOUND_VARIABLE_257257) (ho_5235 BOUND_VARIABLE_419891 (ho_4593 BOUND_VARIABLE_419890 BOUND_VARIABLE_257257)))))) (let ((_let_15392 (forall ((BOUND_VARIABLE_419905 |u_(-> Bool Bool)|) (BOUND_VARIABLE_419904 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257248 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11875 BOUND_VARIABLE_419905) BOUND_VARIABLE_419904) BOUND_VARIABLE_257248) (ho_5235 BOUND_VARIABLE_419905 (ho_4593 BOUND_VARIABLE_419904 BOUND_VARIABLE_257248)))))) (let ((_let_15393 (forall ((BOUND_VARIABLE_419919 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_419918 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257235 tptp.product_prod_int_int)) (= (ho_10750 (ho_10749 (ho_10748 k_11876 BOUND_VARIABLE_419919) BOUND_VARIABLE_419918) BOUND_VARIABLE_257235) (ho_4604 (ho_4603 k_4602 (ho_4914 BOUND_VARIABLE_419919 (ho_5531 k_5530 BOUND_VARIABLE_257235))) (ho_4914 BOUND_VARIABLE_419918 (ho_5531 k_5532 BOUND_VARIABLE_257235))))))) (let ((_let_15394 (forall ((BOUND_VARIABLE_419935 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_257224 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11877 BOUND_VARIABLE_419935) BOUND_VARIABLE_257224) (ho_5218 (ho_5250 BOUND_VARIABLE_419935 (ho_5531 k_5530 BOUND_VARIABLE_257224)) (ho_5531 k_5532 BOUND_VARIABLE_257224)))))) (let ((_let_15395 (forall ((BOUND_VARIABLE_419948 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_257214 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11878 BOUND_VARIABLE_419948) BOUND_VARIABLE_257214) (ho_5218 (ho_5250 BOUND_VARIABLE_419948 (ho_5531 k_5530 BOUND_VARIABLE_257214)) (ho_5531 k_5532 BOUND_VARIABLE_257214)))))) (let ((_let_15396 (forall ((BOUND_VARIABLE_257200 tptp.set_int) (BOUND_VARIABLE_419962 |u_(-> tptp.int tptp.int)|) (BOUND_VARIABLE_257202 tptp.product_prod_int_int)) (= (ho_4599 (ho_5529 (ho_11356 k_11879 BOUND_VARIABLE_257200) BOUND_VARIABLE_419962) BOUND_VARIABLE_257202) (ho_5218 (ho_5250 (ho_6846 (ho_6845 k_11357 BOUND_VARIABLE_257200) BOUND_VARIABLE_419962) (ho_5531 k_5530 BOUND_VARIABLE_257202)) (ho_5531 k_5532 BOUND_VARIABLE_257202)))))) (let ((_let_15397 (forall ((BOUND_VARIABLE_419980 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419979 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257193 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11880 BOUND_VARIABLE_419980) BOUND_VARIABLE_419979) BOUND_VARIABLE_257193) (ho_4855 BOUND_VARIABLE_419980 (ho_4855 BOUND_VARIABLE_419979 BOUND_VARIABLE_257193)))))) (let ((_let_15398 (forall ((BOUND_VARIABLE_419994 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_419993 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257184 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11881 BOUND_VARIABLE_419994) BOUND_VARIABLE_419993) BOUND_VARIABLE_257184) (ho_4855 BOUND_VARIABLE_419994 (ho_4855 BOUND_VARIABLE_419993 BOUND_VARIABLE_257184)))))) (let ((_let_15399 (forall ((BOUND_VARIABLE_420008 |u_(-> Bool Bool)|) (BOUND_VARIABLE_420007 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257175 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11882 BOUND_VARIABLE_420008) BOUND_VARIABLE_420007) BOUND_VARIABLE_257175) (ho_5235 BOUND_VARIABLE_420008 (ho_4593 BOUND_VARIABLE_420007 BOUND_VARIABLE_257175)))))) (let ((_let_15400 (forall ((BOUND_VARIABLE_420022 |u_(-> Bool Bool)|) (BOUND_VARIABLE_420021 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257166 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11883 BOUND_VARIABLE_420022) BOUND_VARIABLE_420021) BOUND_VARIABLE_257166) (ho_5235 BOUND_VARIABLE_420022 (ho_4593 BOUND_VARIABLE_420021 BOUND_VARIABLE_257166)))))) (let ((_let_15401 (forall ((BOUND_VARIABLE_420036 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_420035 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257157 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11884 BOUND_VARIABLE_420036) BOUND_VARIABLE_420035) BOUND_VARIABLE_257157) (ho_4855 BOUND_VARIABLE_420036 (ho_4855 BOUND_VARIABLE_420035 BOUND_VARIABLE_257157)))))) (let ((_let_15402 (forall ((BOUND_VARIABLE_420050 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_420049 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257148 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11885 BOUND_VARIABLE_420050) BOUND_VARIABLE_420049) BOUND_VARIABLE_257148) (ho_6671 BOUND_VARIABLE_420050 (ho_4891 BOUND_VARIABLE_420049 BOUND_VARIABLE_257148)))))) (let ((_let_15403 (forall ((BOUND_VARIABLE_420064 |u_(-> Bool Bool)|) (BOUND_VARIABLE_420063 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257139 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11886 BOUND_VARIABLE_420064) BOUND_VARIABLE_420063) BOUND_VARIABLE_257139) (ho_5235 BOUND_VARIABLE_420064 (ho_4593 BOUND_VARIABLE_420063 BOUND_VARIABLE_257139)))))) (let ((_let_15404 (forall ((BOUND_VARIABLE_420078 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_420077 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257130 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11887 BOUND_VARIABLE_420078) BOUND_VARIABLE_420077) BOUND_VARIABLE_257130) (ho_4855 BOUND_VARIABLE_420078 (ho_4855 BOUND_VARIABLE_420077 BOUND_VARIABLE_257130)))))) (let ((_let_15405 (forall ((BOUND_VARIABLE_420092 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_420091 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257121 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11888 BOUND_VARIABLE_420092) BOUND_VARIABLE_420091) BOUND_VARIABLE_257121) (ho_6671 BOUND_VARIABLE_420092 (ho_4891 BOUND_VARIABLE_420091 BOUND_VARIABLE_257121)))))) (let ((_let_15406 (forall ((BOUND_VARIABLE_420106 |u_(-> Bool Bool)|) (BOUND_VARIABLE_420105 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257112 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11889 BOUND_VARIABLE_420106) BOUND_VARIABLE_420105) BOUND_VARIABLE_257112) (ho_5235 BOUND_VARIABLE_420106 (ho_4593 BOUND_VARIABLE_420105 BOUND_VARIABLE_257112)))))) (let ((_let_15407 (forall ((BOUND_VARIABLE_420120 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_420119 |u_(-> tptp.nat tptp.nat)|) (BOUND_VARIABLE_257103 tptp.nat)) (= (ho_4855 (ho_6932 (ho_6931 k_11890 BOUND_VARIABLE_420120) BOUND_VARIABLE_420119) BOUND_VARIABLE_257103) (ho_4855 BOUND_VARIABLE_420120 (ho_4855 BOUND_VARIABLE_420119 BOUND_VARIABLE_257103)))))) (let ((_let_15408 (forall ((BOUND_VARIABLE_420134 |u_(-> tptp.nat tptp.num)|) (BOUND_VARIABLE_420133 |u_(-> tptp.int tptp.nat)|) (BOUND_VARIABLE_257094 tptp.int)) (= (ho_5439 (ho_6939 (ho_6938 k_11891 BOUND_VARIABLE_420134) BOUND_VARIABLE_420133) BOUND_VARIABLE_257094) (ho_6671 BOUND_VARIABLE_420134 (ho_4891 BOUND_VARIABLE_420133 BOUND_VARIABLE_257094)))))) (let ((_let_15409 (forall ((BOUND_VARIABLE_420148 |u_(-> Bool Bool)|) (BOUND_VARIABLE_420147 |u_(-> tptp.nat Bool)|) (BOUND_VARIABLE_257085 tptp.nat)) (= (ho_4593 (ho_5216 (ho_6585 k_11892 BOUND_VARIABLE_420148) BOUND_VARIABLE_420147) BOUND_VARIABLE_257085) (ho_5235 BOUND_VARIABLE_420148 (ho_4593 BOUND_VARIABLE_420147 BOUND_VARIABLE_257085)))))) (let ((_let_15410 (forall ((BOUND_VARIABLE_420162 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_420161 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_257072 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 (ho_11894 k_11893 BOUND_VARIABLE_420162) BOUND_VARIABLE_420161) BOUND_VARIABLE_257072) (ho_5218 (ho_5250 (ho_7125 (ho_7124 k_9776 BOUND_VARIABLE_420162) BOUND_VARIABLE_420161) (ho_5531 k_5530 BOUND_VARIABLE_257072)) (ho_5531 k_5532 BOUND_VARIABLE_257072)))))) (let ((_let_15411 (forall ((BOUND_VARIABLE_420182 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_257061 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11895 BOUND_VARIABLE_420182) BOUND_VARIABLE_257061) (ho_5218 (ho_5250 BOUND_VARIABLE_420182 (ho_5531 k_5530 BOUND_VARIABLE_257061)) (ho_5531 k_5532 BOUND_VARIABLE_257061)))))) (let ((_let_15412 (forall ((BOUND_VARIABLE_420198 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_420197 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_257045 tptp.int) (BOUND_VARIABLE_257046 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11896 BOUND_VARIABLE_420198) BOUND_VARIABLE_420197) BOUND_VARIABLE_257045) BOUND_VARIABLE_257046) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_420198 BOUND_VARIABLE_257045) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_420197 B4) BOUND_VARIABLE_257046))))))))) (let ((_let_15413 (forall ((BOUND_VARIABLE_420218 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_257034 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11897 BOUND_VARIABLE_420218) BOUND_VARIABLE_257034) (ho_5218 (ho_5250 BOUND_VARIABLE_420218 (ho_5531 k_5530 BOUND_VARIABLE_257034)) (ho_5531 k_5532 BOUND_VARIABLE_257034)))))) (let ((_let_15414 (forall ((BOUND_VARIABLE_420234 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_420233 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_257018 tptp.product_prod_nat_nat) (BOUND_VARIABLE_257019 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11898 BOUND_VARIABLE_420234) BOUND_VARIABLE_420233) BOUND_VARIABLE_257018) BOUND_VARIABLE_257019) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_420234 BOUND_VARIABLE_257018) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_420233 B4) BOUND_VARIABLE_257019))))))))) (let ((_let_15415 (forall ((BOUND_VARIABLE_420256 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_420255 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_257005 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 (ho_11894 k_11899 BOUND_VARIABLE_420256) BOUND_VARIABLE_420255) BOUND_VARIABLE_257005) (ho_5218 (ho_5250 (ho_7125 (ho_7124 k_9776 BOUND_VARIABLE_420256) BOUND_VARIABLE_420255) (ho_5531 k_5530 BOUND_VARIABLE_257005)) (ho_5531 k_5532 BOUND_VARIABLE_257005)))))) (let ((_let_15416 (forall ((BOUND_VARIABLE_420272 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_256994 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11900 BOUND_VARIABLE_420272) BOUND_VARIABLE_256994) (ho_5218 (ho_5250 BOUND_VARIABLE_420272 (ho_5531 k_5530 BOUND_VARIABLE_256994)) (ho_5531 k_5532 BOUND_VARIABLE_256994)))))) (let ((_let_15417 (forall ((BOUND_VARIABLE_420288 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_420287 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_256978 tptp.int) (BOUND_VARIABLE_256979 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11901 BOUND_VARIABLE_420288) BOUND_VARIABLE_420287) BOUND_VARIABLE_256978) BOUND_VARIABLE_256979) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_420288 BOUND_VARIABLE_256978) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_420287 B4) BOUND_VARIABLE_256979))))))))) (let ((_let_15418 (forall ((BOUND_VARIABLE_420311 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_420310 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_256961 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256962 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11902 BOUND_VARIABLE_420311) BOUND_VARIABLE_420310) BOUND_VARIABLE_256961) BOUND_VARIABLE_256962) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_420311 BOUND_VARIABLE_256961) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_420310 B4) BOUND_VARIABLE_256962))))))))) (let ((_let_15419 (forall ((BOUND_VARIABLE_420334 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_420333 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_256950 tptp.code_integer) (BOUND_VARIABLE_256951 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11903 BOUND_VARIABLE_420334) BOUND_VARIABLE_420333) BOUND_VARIABLE_256950) BOUND_VARIABLE_256951) (ho_5405 (ho_5413 BOUND_VARIABLE_420334 (ho_5398 BOUND_VARIABLE_420333 BOUND_VARIABLE_256950)) BOUND_VARIABLE_256951))))) (let ((_let_15420 (forall ((BOUND_VARIABLE_420351 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_420350 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_256939 tptp.code_integer) (BOUND_VARIABLE_256940 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11904 BOUND_VARIABLE_420351) BOUND_VARIABLE_420350) BOUND_VARIABLE_256939) BOUND_VARIABLE_256940) (ho_5405 (ho_5413 BOUND_VARIABLE_420351 (ho_5398 BOUND_VARIABLE_420350 BOUND_VARIABLE_256939)) BOUND_VARIABLE_256940))))) (let ((_let_15421 (forall ((BOUND_VARIABLE_420368 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_420367 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_256928 tptp.code_integer) (BOUND_VARIABLE_256929 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11905 BOUND_VARIABLE_420368) BOUND_VARIABLE_420367) BOUND_VARIABLE_256928) BOUND_VARIABLE_256929) (ho_5405 (ho_5413 BOUND_VARIABLE_420368 (ho_5398 BOUND_VARIABLE_420367 BOUND_VARIABLE_256928)) BOUND_VARIABLE_256929))))) (let ((_let_15422 (forall ((BOUND_VARIABLE_420385 |u_(-> _u_(-> tptp.code_integer tptp.code_integer)_ tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)|) (BOUND_VARIABLE_420384 |u_(-> tptp.code_integer tptp.code_integer tptp.code_integer)|) (BOUND_VARIABLE_256917 tptp.code_integer) (BOUND_VARIABLE_256918 tptp.produc8923325533196201883nteger)) (= (ho_5405 (ho_5408 (ho_6989 (ho_6988 k_11906 BOUND_VARIABLE_420385) BOUND_VARIABLE_420384) BOUND_VARIABLE_256917) BOUND_VARIABLE_256918) (ho_5405 (ho_5413 BOUND_VARIABLE_420385 (ho_5398 BOUND_VARIABLE_420384 BOUND_VARIABLE_256917)) BOUND_VARIABLE_256918))))) (let ((_let_15423 (forall ((BOUND_VARIABLE_256906 tptp.product_prod_int_int)) (= (ho_10750 k_11907 BOUND_VARIABLE_256906) (ho_4604 (ho_4603 k_4602 (ho_5531 k_5532 BOUND_VARIABLE_256906)) (ho_5531 k_5530 BOUND_VARIABLE_256906)))))) (let ((_let_15424 (forall ((BOUND_VARIABLE_256893 tptp.product_prod_nat_nat)) (= (ho_4518 (ho_4517 k_4516 (ho_5369 k_5368 BOUND_VARIABLE_256893)) (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256893)) (ho_6605 k_11908 BOUND_VARIABLE_256893))))) (let ((_let_15425 (forall ((BOUND_VARIABLE_256878 tptp.product_prod_num_nat)) (= (ho_5543 (ho_5542 k_5541 (ho_11924 (ho_11923 (ho_11922 k_11921 k_11919) (ho_11911 k_11910 k_11918)) BOUND_VARIABLE_256878)) (ho_11917 (ho_11916 (ho_11915 k_11914 k_11912) (ho_11911 k_11910 k_11909)) BOUND_VARIABLE_256878)) (ho_11926 k_11925 BOUND_VARIABLE_256878))))) (let ((_let_15426 (forall ((BOUND_VARIABLE_256865 tptp.produc3843707927480180839at_nat)) (= (ho_4498 (ho_4497 k_4496 (ho_5647 k_11930 BOUND_VARIABLE_256865)) (ho_5647 (ho_11933 (ho_11932 k_11931 k_11930) (ho_11929 k_11928 k_11927)) BOUND_VARIABLE_256865)) (ho_5889 k_11934 BOUND_VARIABLE_256865))))) (let ((_let_15427 (forall ((BOUND_VARIABLE_256852 tptp.produc1319942482725812455at_nat)) (= (ho_6283 (ho_6282 k_6281 (ho_11939 k_11938 BOUND_VARIABLE_256852)) (ho_11939 (ho_11942 (ho_11941 k_11940 k_11938) (ho_11937 k_11936 k_11935)) BOUND_VARIABLE_256852)) (ho_11944 k_11943 BOUND_VARIABLE_256852))))) (let ((_let_15428 (forall ((BOUND_VARIABLE_420539 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_420538 |u_(-> tptp.int tptp.code_integer Bool)|) (BOUND_VARIABLE_256837 tptp.int) (BOUND_VARIABLE_256838 tptp.code_integer)) (= (ho_6488 (ho_6484 (ho_6487 (ho_6486 k_11945 BOUND_VARIABLE_420539) BOUND_VARIABLE_420538) BOUND_VARIABLE_256837) BOUND_VARIABLE_256838) (not (forall ((B4 tptp.int)) (or (not (ho_5218 (ho_5250 BOUND_VARIABLE_420539 BOUND_VARIABLE_256837) B4)) (not (ho_6488 (ho_6484 BOUND_VARIABLE_420538 B4) BOUND_VARIABLE_256838))))))))) (let ((_let_15429 (forall ((BOUND_VARIABLE_420562 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_420561 |u_(-> tptp.product_prod_nat_nat tptp.int Bool)|) (BOUND_VARIABLE_256820 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256821 tptp.int)) (= (ho_5218 (ho_5383 (ho_6483 (ho_6482 k_11946 BOUND_VARIABLE_420562) BOUND_VARIABLE_420561) BOUND_VARIABLE_256820) BOUND_VARIABLE_256821) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (ho_4575 (ho_5379 BOUND_VARIABLE_420562 BOUND_VARIABLE_256820) B4)) (not (ho_5218 (ho_5383 BOUND_VARIABLE_420561 B4) BOUND_VARIABLE_256821))))))))) (let ((_let_15430 (forall ((BOUND_VARIABLE_420582 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256801 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256802 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_420582 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256801)) (ho_5369 k_5368 BOUND_VARIABLE_256801)) BOUND_VARIABLE_256802) (ho_4575 (ho_5379 (ho_10766 k_11947 BOUND_VARIABLE_420582) BOUND_VARIABLE_256801) BOUND_VARIABLE_256802))))) (let ((_let_15431 (forall ((BOUND_VARIABLE_420598 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256783 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256784 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_420598 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256783)) (ho_5369 k_5368 BOUND_VARIABLE_256783)) BOUND_VARIABLE_256784) (ho_4575 (ho_5379 (ho_10766 k_11948 BOUND_VARIABLE_420598) BOUND_VARIABLE_256783) BOUND_VARIABLE_256784))))) (let ((_let_15432 (forall ((BOUND_VARIABLE_420614 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256765 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256766 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_420614 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256765)) (ho_5369 k_5368 BOUND_VARIABLE_256765)) BOUND_VARIABLE_256766) (ho_6605 (ho_5421 (ho_10772 k_11949 BOUND_VARIABLE_420614) BOUND_VARIABLE_256765) BOUND_VARIABLE_256766))))) (let ((_let_15433 (forall ((BOUND_VARIABLE_420630 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256747 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256748 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_420630 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256747)) (ho_5369 k_5368 BOUND_VARIABLE_256747)) BOUND_VARIABLE_256748) (ho_6605 (ho_5421 (ho_10772 k_11950 BOUND_VARIABLE_420630) BOUND_VARIABLE_256747) BOUND_VARIABLE_256748))))) (let ((_let_15434 (forall ((BOUND_VARIABLE_420646 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_256737 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_11951 BOUND_VARIABLE_420646) BOUND_VARIABLE_256737) (ho_4914 (ho_5432 BOUND_VARIABLE_420646 (ho_5531 k_5530 BOUND_VARIABLE_256737)) (ho_5531 k_5532 BOUND_VARIABLE_256737)))))) (let ((_let_15435 (forall ((BOUND_VARIABLE_420659 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_256727 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_11952 BOUND_VARIABLE_420659) BOUND_VARIABLE_256727) (ho_4914 (ho_5432 BOUND_VARIABLE_420659 (ho_5531 k_5530 BOUND_VARIABLE_256727)) (ho_5531 k_5532 BOUND_VARIABLE_256727)))))) (let ((_let_15436 (forall ((BOUND_VARIABLE_420672 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_256717 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_6244 BOUND_VARIABLE_420672) BOUND_VARIABLE_256717) (ho_5218 (ho_5250 BOUND_VARIABLE_420672 (ho_5531 k_5530 BOUND_VARIABLE_256717)) (ho_5531 k_5532 BOUND_VARIABLE_256717)))))) (let ((_let_15437 (forall ((BOUND_VARIABLE_420684 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_256707 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11953 BOUND_VARIABLE_420684) BOUND_VARIABLE_256707) (ho_5218 (ho_5250 BOUND_VARIABLE_420684 (ho_5531 k_5530 BOUND_VARIABLE_256707)) (ho_5531 k_5532 BOUND_VARIABLE_256707)))))) (let ((_let_15438 (forall ((BOUND_VARIABLE_420697 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_256697 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_11954 BOUND_VARIABLE_420697) BOUND_VARIABLE_256697) (ho_4604 (ho_4603 BOUND_VARIABLE_420697 (ho_5531 k_5530 BOUND_VARIABLE_256697)) (ho_5531 k_5532 BOUND_VARIABLE_256697)))))) (let ((_let_15439 (forall ((BOUND_VARIABLE_420710 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_256687 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_11955 BOUND_VARIABLE_420710) BOUND_VARIABLE_256687) (ho_4604 (ho_4603 BOUND_VARIABLE_420710 (ho_5531 k_5530 BOUND_VARIABLE_256687)) (ho_5531 k_5532 BOUND_VARIABLE_256687)))))) (let ((_let_15440 (forall ((BOUND_VARIABLE_420723 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256669 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256670 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_420723 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256669)) (ho_5369 k_5368 BOUND_VARIABLE_256669)) BOUND_VARIABLE_256670) (ho_4575 (ho_5379 (ho_10766 k_11956 BOUND_VARIABLE_420723) BOUND_VARIABLE_256669) BOUND_VARIABLE_256670))))) (let ((_let_15441 (forall ((BOUND_VARIABLE_420739 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256651 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256652 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_420739 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256651)) (ho_5369 k_5368 BOUND_VARIABLE_256651)) BOUND_VARIABLE_256652) (ho_4575 (ho_5379 (ho_10766 k_11957 BOUND_VARIABLE_420739) BOUND_VARIABLE_256651) BOUND_VARIABLE_256652))))) (let ((_let_15442 (forall ((BOUND_VARIABLE_420755 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256633 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256634 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_420755 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256633)) (ho_5369 k_5368 BOUND_VARIABLE_256633)) BOUND_VARIABLE_256634) (ho_6605 (ho_5421 (ho_10772 k_11958 BOUND_VARIABLE_420755) BOUND_VARIABLE_256633) BOUND_VARIABLE_256634))))) (let ((_let_15443 (forall ((BOUND_VARIABLE_420771 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256615 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256616 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_420771 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256615)) (ho_5369 k_5368 BOUND_VARIABLE_256615)) BOUND_VARIABLE_256616) (ho_6605 (ho_5421 (ho_10772 k_11959 BOUND_VARIABLE_420771) BOUND_VARIABLE_256615) BOUND_VARIABLE_256616))))) (let ((_let_15444 (forall ((BOUND_VARIABLE_420787 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_256605 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11960 BOUND_VARIABLE_420787) BOUND_VARIABLE_256605) (ho_5218 (ho_5250 BOUND_VARIABLE_420787 (ho_5531 k_5530 BOUND_VARIABLE_256605)) (ho_5531 k_5532 BOUND_VARIABLE_256605)))))) (let ((_let_15445 (forall ((BOUND_VARIABLE_420802 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256584 tptp.nat) (BOUND_VARIABLE_256585 tptp.nat) (BOUND_VARIABLE_256586 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_256584) BOUND_VARIABLE_256585))) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_420802 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) (ho_5369 k_5368 _let_1)) BOUND_VARIABLE_256586) (ho_4575 (ho_4574 (ho_4847 (ho_11203 k_11961 BOUND_VARIABLE_420802) BOUND_VARIABLE_256584) BOUND_VARIABLE_256585) BOUND_VARIABLE_256586)))))) (let ((_let_15446 (forall ((BOUND_VARIABLE_420822 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256563 tptp.nat) (BOUND_VARIABLE_256564 tptp.nat) (BOUND_VARIABLE_256565 tptp.product_prod_nat_nat)) (let ((_let_1 (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_256563) BOUND_VARIABLE_256564))) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_420822 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) _let_1)) (ho_5369 k_5368 _let_1)) BOUND_VARIABLE_256565) (ho_6605 (ho_6604 (ho_6601 (ho_11205 k_11962 BOUND_VARIABLE_420822) BOUND_VARIABLE_256563) BOUND_VARIABLE_256564) BOUND_VARIABLE_256565)))))) (let ((_let_15447 (forall ((BOUND_VARIABLE_420840 |u_(-> tptp.int tptp.int tptp.int)|) (BOUND_VARIABLE_256553 tptp.product_prod_int_int)) (= (ho_5531 (ho_10746 k_11963 BOUND_VARIABLE_420840) BOUND_VARIABLE_256553) (ho_4914 (ho_5432 BOUND_VARIABLE_420840 (ho_5531 k_5530 BOUND_VARIABLE_256553)) (ho_5531 k_5532 BOUND_VARIABLE_256553)))))) (let ((_let_15448 (forall ((BOUND_VARIABLE_420853 |u_(-> tptp.int tptp.int Bool)|) (BOUND_VARIABLE_256543 tptp.product_prod_int_int)) (= (ho_4599 (ho_6245 k_11964 BOUND_VARIABLE_420853) BOUND_VARIABLE_256543) (ho_5218 (ho_5250 BOUND_VARIABLE_420853 (ho_5531 k_5530 BOUND_VARIABLE_256543)) (ho_5531 k_5532 BOUND_VARIABLE_256543)))))) (let ((_let_15449 (forall ((BOUND_VARIABLE_420866 |u_(-> tptp.int tptp.int tptp.product_prod_int_int)|) (BOUND_VARIABLE_256533 tptp.product_prod_int_int)) (= (ho_10750 (ho_10761 k_11965 BOUND_VARIABLE_420866) BOUND_VARIABLE_256533) (ho_4604 (ho_4603 BOUND_VARIABLE_420866 (ho_5531 k_5530 BOUND_VARIABLE_256533)) (ho_5531 k_5532 BOUND_VARIABLE_256533)))))) (let ((_let_15450 (forall ((BOUND_VARIABLE_420879 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256515 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256516 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_420879 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256515)) (ho_5369 k_5368 BOUND_VARIABLE_256515)) BOUND_VARIABLE_256516) (ho_4575 (ho_5379 (ho_10766 k_11966 BOUND_VARIABLE_420879) BOUND_VARIABLE_256515) BOUND_VARIABLE_256516))))) (let ((_let_15451 (forall ((BOUND_VARIABLE_420895 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256497 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256498 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_420895 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256497)) (ho_5369 k_5368 BOUND_VARIABLE_256497)) BOUND_VARIABLE_256498) (ho_6605 (ho_5421 (ho_10772 k_11967 BOUND_VARIABLE_420895) BOUND_VARIABLE_256497) BOUND_VARIABLE_256498))))) (let ((_let_15452 (forall ((BOUND_VARIABLE_420911 |u_(-> tptp.product_prod_int_int tptp.int)|) (BOUND_VARIABLE_256486 tptp.product_prod_int_int)) (= (ho_5531 (ho_11011 k_11968 BOUND_VARIABLE_420911) BOUND_VARIABLE_256486) (ho_4914 (ho_5432 (ho_11970 k_11969 BOUND_VARIABLE_420911) (ho_5531 k_5530 BOUND_VARIABLE_256486)) (ho_5531 k_5532 BOUND_VARIABLE_256486)))))) (let ((_let_15453 (forall ((BOUND_VARIABLE_420930 |u_(-> tptp.product_prod_int_int Bool)|) (BOUND_VARIABLE_256475 tptp.product_prod_int_int)) (= (ho_4599 (ho_5214 k_11971 BOUND_VARIABLE_420930) BOUND_VARIABLE_256475) (ho_5218 (ho_5250 (ho_11973 k_11972 BOUND_VARIABLE_420930) (ho_5531 k_5530 BOUND_VARIABLE_256475)) (ho_5531 k_5532 BOUND_VARIABLE_256475)))))) (let ((_let_15454 (forall ((BOUND_VARIABLE_420949 |u_(-> tptp.product_prod_int_int tptp.product_prod_int_int)|) (BOUND_VARIABLE_256464 tptp.product_prod_int_int)) (= (ho_10750 (ho_11014 k_11974 BOUND_VARIABLE_420949) BOUND_VARIABLE_256464) (ho_4604 (ho_4603 (ho_11976 k_11975 BOUND_VARIABLE_420949) (ho_5531 k_5530 BOUND_VARIABLE_256464)) (ho_5531 k_5532 BOUND_VARIABLE_256464)))))) (let ((_let_15455 (forall ((BOUND_VARIABLE_420968 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256445 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256446 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 (ho_11978 k_11977 BOUND_VARIABLE_420968) (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256445)) (ho_5369 k_5368 BOUND_VARIABLE_256445)) BOUND_VARIABLE_256446) (ho_4575 (ho_5379 (ho_7132 k_11979 BOUND_VARIABLE_420968) BOUND_VARIABLE_256445) BOUND_VARIABLE_256446))))) (let ((_let_15456 (forall ((BOUND_VARIABLE_420990 |u_(-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256426 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256427 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 (ho_11981 k_11980 BOUND_VARIABLE_420990) (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256426)) (ho_5369 k_5368 BOUND_VARIABLE_256426)) BOUND_VARIABLE_256427) (ho_6605 (ho_5421 (ho_11017 k_11982 BOUND_VARIABLE_420990) BOUND_VARIABLE_256426) BOUND_VARIABLE_256427))))) (let ((_let_15457 (forall ((BOUND_VARIABLE_421012 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256408 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256409 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_421012 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256408)) (ho_5369 k_5368 BOUND_VARIABLE_256408)) BOUND_VARIABLE_256409) (ho_4575 (ho_5379 (ho_10766 k_11983 BOUND_VARIABLE_421012) BOUND_VARIABLE_256408) BOUND_VARIABLE_256409))))) (let ((_let_15458 (forall ((BOUND_VARIABLE_421028 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256390 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256391 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_421028 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256390)) (ho_5369 k_5368 BOUND_VARIABLE_256390)) BOUND_VARIABLE_256391) (ho_6605 (ho_5421 (ho_10772 k_11984 BOUND_VARIABLE_421028) BOUND_VARIABLE_256390) BOUND_VARIABLE_256391))))) (let ((_let_15459 (forall ((BOUND_VARIABLE_421044 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)|) (BOUND_VARIABLE_256372 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256373 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_4574 (ho_4847 BOUND_VARIABLE_421044 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256372)) (ho_5369 k_5368 BOUND_VARIABLE_256372)) BOUND_VARIABLE_256373) (ho_4575 (ho_5379 (ho_10766 k_11985 BOUND_VARIABLE_421044) BOUND_VARIABLE_256372) BOUND_VARIABLE_256373))))) (let ((_let_15460 (forall ((BOUND_VARIABLE_421060 |u_(-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)|) (BOUND_VARIABLE_256354 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256355 tptp.product_prod_nat_nat)) (= (ho_6605 (ho_6604 (ho_6601 BOUND_VARIABLE_421060 (ho_5369 (ho_5470 (ho_5469 k_5468 k_5368) (ho_5467 k_5466 k_5465)) BOUND_VARIABLE_256354)) (ho_5369 k_5368 BOUND_VARIABLE_256354)) BOUND_VARIABLE_256355) (ho_6605 (ho_5421 (ho_10772 k_11986 BOUND_VARIABLE_421060) BOUND_VARIABLE_256354) BOUND_VARIABLE_256355))))) (let ((_let_15461 (forall ((BOUND_VARIABLE_256345 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_256346 tptp.product_prod_int_int)) (= (ho_4599 (ho_10205 k_11987 BOUND_VARIABLE_256345) BOUND_VARIABLE_256346) (ho_5251 (ho_4901 k_4900 BOUND_VARIABLE_256346) BOUND_VARIABLE_256345))))) (let ((_let_15462 (forall ((BOUND_VARIABLE_256337 tptp.set_nat) (BOUND_VARIABLE_256338 tptp.nat)) (= (ho_4593 (ho_4762 k_11988 BOUND_VARIABLE_256337) BOUND_VARIABLE_256338) (ho_5227 (ho_4701 k_4700 BOUND_VARIABLE_256338) BOUND_VARIABLE_256337))))) (let ((_let_15463 (forall ((BOUND_VARIABLE_256329 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_256330 tptp.product_prod_nat_nat)) (= (ho_4575 (ho_5239 k_11989 BOUND_VARIABLE_256329) BOUND_VARIABLE_256330) (ho_5240 (ho_4567 k_4566 BOUND_VARIABLE_256330) BOUND_VARIABLE_256329))))) (let ((_let_15464 (forall ((BOUND_VARIABLE_256321 tptp.set_int) (BOUND_VARIABLE_256322 tptp.int)) (= (ho_5218 (ho_5229 k_11990 BOUND_VARIABLE_256321) BOUND_VARIABLE_256322) (ho_5232 (ho_5231 k_5230 BOUND_VARIABLE_256322) BOUND_VARIABLE_256321))))) (let ((_let_15465 (forall ((BOUND_VARIABLE_256313 tptp.set_o) (BOUND_VARIABLE_256314 Bool)) (= (ho_5235 (ho_5234 k_11991 BOUND_VARIABLE_256313) BOUND_VARIABLE_256314) (ho_4540 (ho_5237 k_5236 BOUND_VARIABLE_256314) BOUND_VARIABLE_256313))))) (let ((_let_15466 (forall ((BOUND_VARIABLE_256305 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_256306 tptp.produc3843707927480180839at_nat)) (= (ho_4544 (ho_5018 k_11992 BOUND_VARIABLE_256305) BOUND_VARIABLE_256306) (ho_5242 (ho_4535 k_4534 BOUND_VARIABLE_256306) BOUND_VARIABLE_256305))))) (let ((_let_15467 (forall ((BOUND_VARIABLE_256297 tptp.nat) (BOUND_VARIABLE_256298 tptp.nat)) (= (ho_4518 (ho_4517 k_5465 BOUND_VARIABLE_256297) BOUND_VARIABLE_256298) (ho_4518 (ho_4517 k_4516 BOUND_VARIABLE_256298) BOUND_VARIABLE_256297))))) (let ((_let_15468 (forall ((BOUND_VARIABLE_256289 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_256290 tptp.set_Pr1261947904930325089at_nat)) (= (ho_4498 (ho_4497 k_11927 BOUND_VARIABLE_256289) BOUND_VARIABLE_256290) (ho_4498 (ho_4497 k_4496 BOUND_VARIABLE_256290) BOUND_VARIABLE_256289))))) (let ((_let_15469 (forall ((BOUND_VARIABLE_256281 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_256282 tptp.set_Pr4329608150637261639at_nat)) (= (ho_6283 (ho_6282 k_11935 BOUND_VARIABLE_256281) BOUND_VARIABLE_256282) (ho_6283 (ho_6282 k_6281 BOUND_VARIABLE_256282) BOUND_VARIABLE_256281))))) (let ((_let_15470 (forall ((BOUND_VARIABLE_256273 tptp.num) (BOUND_VARIABLE_256274 tptp.nat)) (= (ho_8090 (ho_8089 k_11918 BOUND_VARIABLE_256273) BOUND_VARIABLE_256274) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_256274) BOUND_VARIABLE_256273))))) (let ((_let_15471 (forall ((BOUND_VARIABLE_256265 tptp.num) (BOUND_VARIABLE_256266 tptp.nat)) (= (ho_8090 (ho_8089 k_11909 BOUND_VARIABLE_256265) BOUND_VARIABLE_256266) (ho_5543 (ho_5542 k_5541 BOUND_VARIABLE_256266) BOUND_VARIABLE_256265))))) (let ((_let_15472 (forall ((BOUND_VARIABLE_256257 tptp.heap_e7401611519738050253t_unit) (BOUND_VARIABLE_256258 tptp.ref_a)) (= (ho_11995 (ho_11994 k_11993 BOUND_VARIABLE_256257) BOUND_VARIABLE_256258) (ho_11998 (ho_11997 k_11996 BOUND_VARIABLE_256258) BOUND_VARIABLE_256257))))) (let ((_let_15473 (forall ((BOUND_VARIABLE_256249 tptp.heap_e7401611519738050253t_unit) (BOUND_VARIABLE_256250 tptp.ref_a)) (= (ho_11995 (ho_11994 k_11999 BOUND_VARIABLE_256249) BOUND_VARIABLE_256250) (ho_11998 (ho_11997 k_11996 BOUND_VARIABLE_256250) BOUND_VARIABLE_256249))))) (let ((_let_15474 (forall ((BOUND_VARIABLE_256241 tptp.ref_a) (BOUND_VARIABLE_256242 tptp.heap_e7401611519738050253t_unit)) (= (ho_12002 (ho_12001 k_12000 BOUND_VARIABLE_256241) BOUND_VARIABLE_256242) (ho_12005 (ho_12004 k_12003 BOUND_VARIABLE_256242) BOUND_VARIABLE_256241))))) (let ((_let_15475 (forall ((BOUND_VARIABLE_256233 tptp.ref_a) (BOUND_VARIABLE_256234 tptp.heap_e7401611519738050253t_unit)) (= (ho_12002 (ho_12001 k_12006 BOUND_VARIABLE_256233) BOUND_VARIABLE_256234) (ho_12005 (ho_12004 k_12003 BOUND_VARIABLE_256234) BOUND_VARIABLE_256233))))) (let ((_let_15476 (forall ((BOUND_VARIABLE_256226 tptp.produc7812382424243267045t_unit) (BOUND_VARIABLE_256227 tptp.produc7812382424243267045t_unit)) (= (= BOUND_VARIABLE_256226 BOUND_VARIABLE_256227) (ho_10249 (ho_12008 k_12007 BOUND_VARIABLE_256226) BOUND_VARIABLE_256227))))) (let ((_let_15477 (forall ((BOUND_VARIABLE_256204 tptp.produc7812382424243267045t_unit) (BOUND_VARIABLE_256205 tptp.produc7812382424243267045t_unit)) (let ((_let_1 (ho_6965 k_6964 k_6962))) (let ((_let_2 (ho_10243 k_10242 k_10240))) (= (ho_10249 (ho_12008 k_12009 BOUND_VARIABLE_256204) BOUND_VARIABLE_256205) (and (= (ho_10244 _let_2 BOUND_VARIABLE_256205) (ho_10244 _let_2 BOUND_VARIABLE_256204)) (= (ho_10239 _let_1 BOUND_VARIABLE_256205) (ho_10239 _let_1 BOUND_VARIABLE_256204))))))))) (let ((_let_15478 (forall ((BOUND_VARIABLE_256198 tptp.ref_a) (BOUND_VARIABLE_256199 tptp.heap_e7401611519738050253t_unit)) (= BOUND_VARIABLE_256198 (ho_12010 (ho_10241 k_10240 BOUND_VARIABLE_256198) BOUND_VARIABLE_256199))))) (let ((_let_15479 (forall ((BOUND_VARIABLE_256192 tptp.ref_a) (BOUND_VARIABLE_256193 tptp.heap_e7401611519738050253t_unit)) (= BOUND_VARIABLE_256193 (ho_12011 (ho_6963 k_6962 BOUND_VARIABLE_256192) BOUND_VARIABLE_256193))))) (let ((_let_15480 (=> _let_302 _let_581))) (let ((_let_15481 (forall ((BOUND_VARIABLE_336242 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336243 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4489 BOUND_VARIABLE_336242 BOUND_VARIABLE_336243) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_336242) BOUND_VARIABLE_336243)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15482 (forall ((BOUND_VARIABLE_336229 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336230 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4488 BOUND_VARIABLE_336229 BOUND_VARIABLE_336230) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_336229) BOUND_VARIABLE_336230)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15483 (forall ((BOUND_VARIABLE_336216 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336217 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4487 BOUND_VARIABLE_336216 BOUND_VARIABLE_336217) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_336216) BOUND_VARIABLE_336217)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15484 (forall ((BOUND_VARIABLE_336203 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336204 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4486 BOUND_VARIABLE_336203 BOUND_VARIABLE_336204) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_336203) BOUND_VARIABLE_336204)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15485 (forall ((BOUND_VARIABLE_336190 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336191 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4485 BOUND_VARIABLE_336190 BOUND_VARIABLE_336191) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_336190) BOUND_VARIABLE_336191)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15486 (forall ((BOUND_VARIABLE_336177 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336178 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4484 BOUND_VARIABLE_336177 BOUND_VARIABLE_336178) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_336177) BOUND_VARIABLE_336178)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15487 (forall ((BOUND_VARIABLE_336164 tptp.nat) (BOUND_VARIABLE_336165 tptp.nat)) (= (ll_4483 BOUND_VARIABLE_336164 BOUND_VARIABLE_336165) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_336164) BOUND_VARIABLE_336165)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15488 (forall ((BOUND_VARIABLE_336151 tptp.nat) (BOUND_VARIABLE_336152 tptp.nat)) (= (ll_4482 BOUND_VARIABLE_336151 BOUND_VARIABLE_336152) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_336151) BOUND_VARIABLE_336152)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15489 (forall ((BOUND_VARIABLE_336144 tptp.num)) (= (@ tptp.some_num (@ tptp.bit0 BOUND_VARIABLE_336144)) (ll_4481 BOUND_VARIABLE_336144))))) (let ((_let_15490 (forall ((BOUND_VARIABLE_336111 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336112 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_336113 tptp.produc3843707927480180839at_nat)) (= (ll_4480 BOUND_VARIABLE_336111 BOUND_VARIABLE_336112 BOUND_VARIABLE_336113) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_336113)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4489 BOUND_VARIABLE_336111)) BOUND_VARIABLE_336112))))))) (let ((_let_15491 (forall ((BOUND_VARIABLE_336078 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336079 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_336080 tptp.produc3843707927480180839at_nat)) (= (ll_4479 BOUND_VARIABLE_336078 BOUND_VARIABLE_336079 BOUND_VARIABLE_336080) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_336080)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4488 BOUND_VARIABLE_336078)) BOUND_VARIABLE_336079))))))) (let ((_let_15492 (forall ((BOUND_VARIABLE_336044 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_336045 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336046 tptp.produc3843707927480180839at_nat)) (= (ll_4478 BOUND_VARIABLE_336044 BOUND_VARIABLE_336045 BOUND_VARIABLE_336046) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_336046)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4487 BOUND_VARIABLE_336045)) (@ BOUND_VARIABLE_336044 BOUND_VARIABLE_336045)))))))) (let ((_let_15493 (forall ((BOUND_VARIABLE_336010 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_336011 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_336012 tptp.produc3843707927480180839at_nat)) (= (ll_4477 BOUND_VARIABLE_336010 BOUND_VARIABLE_336011 BOUND_VARIABLE_336012) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_336012)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4486 BOUND_VARIABLE_336011)) (@ BOUND_VARIABLE_336010 BOUND_VARIABLE_336011)))))))) (let ((_let_15494 (forall ((BOUND_VARIABLE_335997 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335998 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335999 tptp.nat) (BOUND_VARIABLE_336000 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_336000) (@ BOUND_VARIABLE_335997 BOUND_VARIABLE_335999)) (@ BOUND_VARIABLE_335998 BOUND_VARIABLE_335999)) (ll_4476 BOUND_VARIABLE_335997 BOUND_VARIABLE_335998 BOUND_VARIABLE_335999 BOUND_VARIABLE_336000))))) (let ((_let_15495 (forall ((BOUND_VARIABLE_335963 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_335964 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335965 tptp.produc3843707927480180839at_nat)) (= (ll_4475 BOUND_VARIABLE_335963 BOUND_VARIABLE_335964 BOUND_VARIABLE_335965) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_335965)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4485 BOUND_VARIABLE_335964)) (@ BOUND_VARIABLE_335963 BOUND_VARIABLE_335964)))))))) (let ((_let_15496 (forall ((BOUND_VARIABLE_335929 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_335930 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335931 tptp.produc3843707927480180839at_nat)) (= (ll_4474 BOUND_VARIABLE_335929 BOUND_VARIABLE_335930 BOUND_VARIABLE_335931) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_335931)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4484 BOUND_VARIABLE_335930)) (@ BOUND_VARIABLE_335929 BOUND_VARIABLE_335930)))))))) (let ((_let_15497 (forall ((BOUND_VARIABLE_335894 tptp.nat) (BOUND_VARIABLE_335895 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335896 tptp.nat) (BOUND_VARIABLE_335897 tptp.product_prod_nat_nat)) (= (ll_4473 BOUND_VARIABLE_335894 BOUND_VARIABLE_335895 BOUND_VARIABLE_335896 BOUND_VARIABLE_335897) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_335897)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4483 BOUND_VARIABLE_335894)) (@ BOUND_VARIABLE_335895 BOUND_VARIABLE_335896)))))))) (let ((_let_15498 (forall ((BOUND_VARIABLE_335881 tptp.nat) (BOUND_VARIABLE_335882 tptp.nat)) (= (ll_4472 BOUND_VARIABLE_335881 BOUND_VARIABLE_335882) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335881) BOUND_VARIABLE_335882)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15499 (forall ((BOUND_VARIABLE_335847 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335848 tptp.nat) (BOUND_VARIABLE_335849 tptp.product_prod_nat_nat)) (= (ll_4471 BOUND_VARIABLE_335847 BOUND_VARIABLE_335848 BOUND_VARIABLE_335849) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_335849)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4482 BOUND_VARIABLE_335848)) (@ BOUND_VARIABLE_335847 BOUND_VARIABLE_335848)))))))) (let ((_let_15500 (forall ((BOUND_VARIABLE_335833 tptp.nat) (BOUND_VARIABLE_335834 tptp.num)) (= (ll_4470 BOUND_VARIABLE_335833 BOUND_VARIABLE_335834) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) ll_4481) (@ (@ tptp.bit_take_bit_num BOUND_VARIABLE_335833) BOUND_VARIABLE_335834)))))) (let ((_let_15501 (forall ((BOUND_VARIABLE_335823 tptp.nat) (BOUND_VARIABLE_335824 tptp.num)) (= (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num BOUND_VARIABLE_335823) BOUND_VARIABLE_335824))) (ll_4469 BOUND_VARIABLE_335823 BOUND_VARIABLE_335824))))) (let ((_let_15502 (forall ((BOUND_VARIABLE_335810 tptp.nat) (BOUND_VARIABLE_335811 tptp.nat)) (= (ll_4468 BOUND_VARIABLE_335810 BOUND_VARIABLE_335811) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335810) BOUND_VARIABLE_335811)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15503 (forall ((BOUND_VARIABLE_335802 tptp.nat) (BOUND_VARIABLE_335803 tptp.nat)) (= (@ (@ tptp.ord_less_nat BOUND_VARIABLE_335803) BOUND_VARIABLE_335802) (ll_4467 BOUND_VARIABLE_335802 BOUND_VARIABLE_335803))))) (let ((_let_15504 (forall ((BOUND_VARIABLE_335789 tptp.nat) (BOUND_VARIABLE_335790 tptp.nat)) (= (ll_4466 BOUND_VARIABLE_335789 BOUND_VARIABLE_335790) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335789) BOUND_VARIABLE_335790)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15505 (forall ((BOUND_VARIABLE_335776 tptp.nat) (BOUND_VARIABLE_335777 tptp.nat)) (= (ll_4465 BOUND_VARIABLE_335776 BOUND_VARIABLE_335777) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335776) BOUND_VARIABLE_335777)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15506 (forall ((BOUND_VARIABLE_335763 tptp.nat) (BOUND_VARIABLE_335764 tptp.nat)) (= (ll_4464 BOUND_VARIABLE_335763 BOUND_VARIABLE_335764) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335763) BOUND_VARIABLE_335764)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15507 (forall ((BOUND_VARIABLE_335750 tptp.int) (BOUND_VARIABLE_335751 tptp.int)) (= (ll_4463 BOUND_VARIABLE_335750 BOUND_VARIABLE_335751) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_335750) BOUND_VARIABLE_335751)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15508 (forall ((BOUND_VARIABLE_335737 tptp.int) (BOUND_VARIABLE_335738 tptp.int)) (= (ll_4462 BOUND_VARIABLE_335737 BOUND_VARIABLE_335738) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_335737) BOUND_VARIABLE_335738)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15509 (forall ((BOUND_VARIABLE_335724 tptp.nat) (BOUND_VARIABLE_335725 tptp.nat)) (= (ll_4461 BOUND_VARIABLE_335724 BOUND_VARIABLE_335725) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335724) BOUND_VARIABLE_335725)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15510 (forall ((BOUND_VARIABLE_335711 tptp.int) (BOUND_VARIABLE_335712 tptp.int)) (= (ll_4460 BOUND_VARIABLE_335711 BOUND_VARIABLE_335712) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_335711) BOUND_VARIABLE_335712)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15511 (forall ((BOUND_VARIABLE_335698 tptp.int) (BOUND_VARIABLE_335699 tptp.int)) (= (ll_4459 BOUND_VARIABLE_335698 BOUND_VARIABLE_335699) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_335698) BOUND_VARIABLE_335699)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15512 (forall ((BOUND_VARIABLE_335686 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335687 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_335688 Bool) (BOUND_VARIABLE_335689 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335689) BOUND_VARIABLE_335686) (@ BOUND_VARIABLE_335687 BOUND_VARIABLE_335688)) (ll_4458 BOUND_VARIABLE_335686 BOUND_VARIABLE_335687 BOUND_VARIABLE_335688 BOUND_VARIABLE_335689))))) (let ((_let_15513 (forall ((BOUND_VARIABLE_335674 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335675 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_335676 tptp.product_unit) (BOUND_VARIABLE_335677 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335677) BOUND_VARIABLE_335674) (@ BOUND_VARIABLE_335675 BOUND_VARIABLE_335676)) (ll_4457 BOUND_VARIABLE_335674 BOUND_VARIABLE_335675 BOUND_VARIABLE_335676 BOUND_VARIABLE_335677))))) (let ((_let_15514 (forall ((BOUND_VARIABLE_335662 tptp.set_nat) (BOUND_VARIABLE_335663 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_335664 tptp.product_prod_nat_nat) (BOUND_VARIABLE_335665 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335665) BOUND_VARIABLE_335662) (@ BOUND_VARIABLE_335663 BOUND_VARIABLE_335664)) (ll_4456 BOUND_VARIABLE_335662 BOUND_VARIABLE_335663 BOUND_VARIABLE_335664 BOUND_VARIABLE_335665))))) (let ((_let_15515 (forall ((BOUND_VARIABLE_335650 tptp.set_nat) (BOUND_VARIABLE_335651 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335652 tptp.nat) (BOUND_VARIABLE_335653 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335653) BOUND_VARIABLE_335650) (@ BOUND_VARIABLE_335651 BOUND_VARIABLE_335652)) (ll_4455 BOUND_VARIABLE_335650 BOUND_VARIABLE_335651 BOUND_VARIABLE_335652 BOUND_VARIABLE_335653))))) (let ((_let_15516 (forall ((BOUND_VARIABLE_335638 tptp.set_nat) (BOUND_VARIABLE_335639 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_335640 Bool) (BOUND_VARIABLE_335641 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335641) BOUND_VARIABLE_335638) (@ BOUND_VARIABLE_335639 BOUND_VARIABLE_335640)) (ll_4454 BOUND_VARIABLE_335638 BOUND_VARIABLE_335639 BOUND_VARIABLE_335640 BOUND_VARIABLE_335641))))) (let ((_let_15517 (forall ((BOUND_VARIABLE_335626 tptp.set_nat) (BOUND_VARIABLE_335627 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_335628 tptp.product_unit) (BOUND_VARIABLE_335629 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335629) BOUND_VARIABLE_335626) (@ BOUND_VARIABLE_335627 BOUND_VARIABLE_335628)) (ll_4453 BOUND_VARIABLE_335626 BOUND_VARIABLE_335627 BOUND_VARIABLE_335628 BOUND_VARIABLE_335629))))) (let ((_let_15518 (forall ((BOUND_VARIABLE_335614 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_335615 Bool) (BOUND_VARIABLE_335616 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335617 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335617) (@ BOUND_VARIABLE_335614 BOUND_VARIABLE_335615)) BOUND_VARIABLE_335616) (ll_4452 BOUND_VARIABLE_335614 BOUND_VARIABLE_335615 BOUND_VARIABLE_335616 BOUND_VARIABLE_335617))))) (let ((_let_15519 (forall ((BOUND_VARIABLE_335602 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_335603 tptp.product_unit) (BOUND_VARIABLE_335604 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335605 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335605) (@ BOUND_VARIABLE_335602 BOUND_VARIABLE_335603)) BOUND_VARIABLE_335604) (ll_4451 BOUND_VARIABLE_335602 BOUND_VARIABLE_335603 BOUND_VARIABLE_335604 BOUND_VARIABLE_335605))))) (let ((_let_15520 (forall ((BOUND_VARIABLE_335590 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_335591 tptp.product_prod_nat_nat) (BOUND_VARIABLE_335592 tptp.set_nat) (BOUND_VARIABLE_335593 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335593) (@ BOUND_VARIABLE_335590 BOUND_VARIABLE_335591)) BOUND_VARIABLE_335592) (ll_4450 BOUND_VARIABLE_335590 BOUND_VARIABLE_335591 BOUND_VARIABLE_335592 BOUND_VARIABLE_335593))))) (let ((_let_15521 (forall ((BOUND_VARIABLE_335578 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335579 tptp.nat) (BOUND_VARIABLE_335580 tptp.set_nat) (BOUND_VARIABLE_335581 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335581) (@ BOUND_VARIABLE_335578 BOUND_VARIABLE_335579)) BOUND_VARIABLE_335580) (ll_4449 BOUND_VARIABLE_335578 BOUND_VARIABLE_335579 BOUND_VARIABLE_335580 BOUND_VARIABLE_335581))))) (let ((_let_15522 (forall ((BOUND_VARIABLE_335566 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_335567 Bool) (BOUND_VARIABLE_335568 tptp.set_nat) (BOUND_VARIABLE_335569 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335569) (@ BOUND_VARIABLE_335566 BOUND_VARIABLE_335567)) BOUND_VARIABLE_335568) (ll_4448 BOUND_VARIABLE_335566 BOUND_VARIABLE_335567 BOUND_VARIABLE_335568 BOUND_VARIABLE_335569))))) (let ((_let_15523 (forall ((BOUND_VARIABLE_335554 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_335555 tptp.product_unit) (BOUND_VARIABLE_335556 tptp.set_nat) (BOUND_VARIABLE_335557 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335557) (@ BOUND_VARIABLE_335554 BOUND_VARIABLE_335555)) BOUND_VARIABLE_335556) (ll_4447 BOUND_VARIABLE_335554 BOUND_VARIABLE_335555 BOUND_VARIABLE_335556 BOUND_VARIABLE_335557))))) (let ((_let_15524 (forall ((BOUND_VARIABLE_335544 tptp.set_nat) (BOUND_VARIABLE_335545 tptp.set_nat) (BOUND_VARIABLE_335546 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335546) BOUND_VARIABLE_335544) BOUND_VARIABLE_335545) (ll_4446 BOUND_VARIABLE_335544 BOUND_VARIABLE_335545 BOUND_VARIABLE_335546))))) (let ((_let_15525 (forall ((BOUND_VARIABLE_335534 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335535 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335536 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335536) BOUND_VARIABLE_335534) BOUND_VARIABLE_335535) (ll_4445 BOUND_VARIABLE_335534 BOUND_VARIABLE_335535 BOUND_VARIABLE_335536))))) (let ((_let_15526 (forall ((BOUND_VARIABLE_335524 tptp.set_nat) (BOUND_VARIABLE_335525 tptp.set_nat) (BOUND_VARIABLE_335526 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335526) BOUND_VARIABLE_335524) BOUND_VARIABLE_335525) (ll_4444 BOUND_VARIABLE_335524 BOUND_VARIABLE_335525 BOUND_VARIABLE_335526))))) (let ((_let_15527 (forall ((BOUND_VARIABLE_335514 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335515 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335516 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335516) BOUND_VARIABLE_335514) BOUND_VARIABLE_335515) (ll_4443 BOUND_VARIABLE_335514 BOUND_VARIABLE_335515 BOUND_VARIABLE_335516))))) (let ((_let_15528 (forall ((BOUND_VARIABLE_335504 tptp.set_nat) (BOUND_VARIABLE_335505 tptp.set_nat) (BOUND_VARIABLE_335506 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335506) BOUND_VARIABLE_335504) BOUND_VARIABLE_335505) (ll_4442 BOUND_VARIABLE_335504 BOUND_VARIABLE_335505 BOUND_VARIABLE_335506))))) (let ((_let_15529 (forall ((BOUND_VARIABLE_335494 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335495 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_335496 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_335496) BOUND_VARIABLE_335494) BOUND_VARIABLE_335495) (ll_4441 BOUND_VARIABLE_335494 BOUND_VARIABLE_335495 BOUND_VARIABLE_335496))))) (let ((_let_15530 (forall ((BOUND_VARIABLE_335481 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_335482 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_335483 tptp.product_unit) (BOUND_VARIABLE_335484 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_335484) (@ BOUND_VARIABLE_335481 BOUND_VARIABLE_335483)) (@ BOUND_VARIABLE_335482 BOUND_VARIABLE_335483)) (ll_4440 BOUND_VARIABLE_335481 BOUND_VARIABLE_335482 BOUND_VARIABLE_335483 BOUND_VARIABLE_335484))))) (let ((_let_15531 (forall ((BOUND_VARIABLE_335468 tptp.nat) (BOUND_VARIABLE_335469 tptp.nat)) (= (ll_4439 BOUND_VARIABLE_335468 BOUND_VARIABLE_335469) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335468) BOUND_VARIABLE_335469)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15532 (forall ((BOUND_VARIABLE_335455 tptp.nat) (BOUND_VARIABLE_335456 tptp.nat)) (= (ll_4438 BOUND_VARIABLE_335455 BOUND_VARIABLE_335456) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335455) BOUND_VARIABLE_335456)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15533 (forall ((BOUND_VARIABLE_335442 tptp.nat) (BOUND_VARIABLE_335443 tptp.nat)) (= (ll_4437 BOUND_VARIABLE_335442 BOUND_VARIABLE_335443) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335442) BOUND_VARIABLE_335443)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15534 (forall ((BOUND_VARIABLE_335429 tptp.nat) (BOUND_VARIABLE_335430 tptp.nat)) (= (ll_4436 BOUND_VARIABLE_335429 BOUND_VARIABLE_335430) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335429) BOUND_VARIABLE_335430)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15535 (forall ((BOUND_VARIABLE_335416 tptp.nat) (BOUND_VARIABLE_335417 tptp.nat)) (= (ll_4435 BOUND_VARIABLE_335416 BOUND_VARIABLE_335417) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335416) BOUND_VARIABLE_335417)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15536 (forall ((BOUND_VARIABLE_335403 tptp.nat) (BOUND_VARIABLE_335404 tptp.nat)) (= (ll_4434 BOUND_VARIABLE_335403 BOUND_VARIABLE_335404) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335403) BOUND_VARIABLE_335404)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15537 (forall ((BOUND_VARIABLE_335390 tptp.nat) (BOUND_VARIABLE_335391 tptp.nat)) (= (ll_4433 BOUND_VARIABLE_335390 BOUND_VARIABLE_335391) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335390) BOUND_VARIABLE_335391)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15538 (forall ((BOUND_VARIABLE_335377 tptp.nat) (BOUND_VARIABLE_335378 tptp.nat)) (= (ll_4432 BOUND_VARIABLE_335377 BOUND_VARIABLE_335378) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335377) BOUND_VARIABLE_335378)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15539 (forall ((BOUND_VARIABLE_335364 tptp.nat) (BOUND_VARIABLE_335365 tptp.nat)) (= (ll_4431 BOUND_VARIABLE_335364 BOUND_VARIABLE_335365) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335364) BOUND_VARIABLE_335365)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15540 (forall ((BOUND_VARIABLE_335351 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335352 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4430 BOUND_VARIABLE_335351 BOUND_VARIABLE_335352) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_335351) BOUND_VARIABLE_335352)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15541 (forall ((BOUND_VARIABLE_335315 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_335316 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4429 BOUND_VARIABLE_335315 BOUND_VARIABLE_335316) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4480 BOUND_VARIABLE_335316) BOUND_VARIABLE_335315)))))) (let ((_let_15542 (forall ((BOUND_VARIABLE_335279 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_335280 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4428 BOUND_VARIABLE_335279 BOUND_VARIABLE_335280) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4479 BOUND_VARIABLE_335280) BOUND_VARIABLE_335279)))))) (let ((_let_15543 (forall ((BOUND_VARIABLE_335266 tptp.nat) (BOUND_VARIABLE_335267 tptp.nat)) (= (ll_4427 BOUND_VARIABLE_335266 BOUND_VARIABLE_335267) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335266) BOUND_VARIABLE_335267)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15544 (forall ((BOUND_VARIABLE_335253 tptp.nat) (BOUND_VARIABLE_335254 tptp.nat)) (= (ll_4426 BOUND_VARIABLE_335253 BOUND_VARIABLE_335254) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335253) BOUND_VARIABLE_335254)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15545 (forall ((BOUND_VARIABLE_335240 tptp.nat) (BOUND_VARIABLE_335241 tptp.nat)) (= (ll_4425 BOUND_VARIABLE_335240 BOUND_VARIABLE_335241) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335240) BOUND_VARIABLE_335241)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15546 (forall ((BOUND_VARIABLE_335227 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335228 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4424 BOUND_VARIABLE_335227 BOUND_VARIABLE_335228) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_335227) BOUND_VARIABLE_335228)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15547 (forall ((BOUND_VARIABLE_335189 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_335190 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4423 BOUND_VARIABLE_335189 BOUND_VARIABLE_335190) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4478 BOUND_VARIABLE_335189) BOUND_VARIABLE_335190)))))) (let ((_let_15548 (forall ((BOUND_VARIABLE_335151 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_335152 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4422 BOUND_VARIABLE_335151 BOUND_VARIABLE_335152) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4477 BOUND_VARIABLE_335151) BOUND_VARIABLE_335152)))))) (let ((_let_15549 (forall ((BOUND_VARIABLE_335138 tptp.nat) (BOUND_VARIABLE_335139 tptp.nat)) (= (ll_4421 BOUND_VARIABLE_335138 BOUND_VARIABLE_335139) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335138) BOUND_VARIABLE_335139)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15550 (forall ((BOUND_VARIABLE_335125 tptp.nat) (BOUND_VARIABLE_335126 tptp.nat)) (= (ll_4420 BOUND_VARIABLE_335125 BOUND_VARIABLE_335126) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335125) BOUND_VARIABLE_335126)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15551 (forall ((BOUND_VARIABLE_335112 tptp.nat) (BOUND_VARIABLE_335113 tptp.nat)) (= (ll_4419 BOUND_VARIABLE_335112 BOUND_VARIABLE_335113) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335112) BOUND_VARIABLE_335113)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15552 (forall ((BOUND_VARIABLE_335073 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335074 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_335075 tptp.nat) (BOUND_VARIABLE_335076 tptp.nat)) (= (ll_4418 BOUND_VARIABLE_335073 BOUND_VARIABLE_335074 BOUND_VARIABLE_335075 BOUND_VARIABLE_335076) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_335076)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4476 BOUND_VARIABLE_335073) BOUND_VARIABLE_335074) BOUND_VARIABLE_335075)) tptp.top_top_set_o))))))) (let ((_let_15553 (forall ((BOUND_VARIABLE_335060 tptp.nat) (BOUND_VARIABLE_335061 tptp.nat)) (= (ll_4417 BOUND_VARIABLE_335060 BOUND_VARIABLE_335061) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335060) BOUND_VARIABLE_335061)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15554 (forall ((BOUND_VARIABLE_335047 tptp.nat) (BOUND_VARIABLE_335048 tptp.nat)) (= (ll_4416 BOUND_VARIABLE_335047 BOUND_VARIABLE_335048) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335047) BOUND_VARIABLE_335048)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15555 (forall ((BOUND_VARIABLE_335034 tptp.nat) (BOUND_VARIABLE_335035 tptp.nat)) (= (ll_4415 BOUND_VARIABLE_335034 BOUND_VARIABLE_335035) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_335034) BOUND_VARIABLE_335035)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15556 (forall ((BOUND_VARIABLE_335021 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_335022 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4414 BOUND_VARIABLE_335021 BOUND_VARIABLE_335022) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_335021) BOUND_VARIABLE_335022)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15557 (forall ((BOUND_VARIABLE_334983 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_334984 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4413 BOUND_VARIABLE_334983 BOUND_VARIABLE_334984) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4475 BOUND_VARIABLE_334983) BOUND_VARIABLE_334984)))))) (let ((_let_15558 (forall ((BOUND_VARIABLE_334945 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_334946 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4412 BOUND_VARIABLE_334945 BOUND_VARIABLE_334946) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4474 BOUND_VARIABLE_334945) BOUND_VARIABLE_334946)))))) (let ((_let_15559 (forall ((BOUND_VARIABLE_334932 tptp.nat) (BOUND_VARIABLE_334933 tptp.nat)) (= (ll_4411 BOUND_VARIABLE_334932 BOUND_VARIABLE_334933) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334932) BOUND_VARIABLE_334933)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15560 (forall ((BOUND_VARIABLE_334919 tptp.nat) (BOUND_VARIABLE_334920 tptp.nat)) (= (ll_4410 BOUND_VARIABLE_334919 BOUND_VARIABLE_334920) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334919) BOUND_VARIABLE_334920)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15561 (forall ((BOUND_VARIABLE_334906 tptp.nat) (BOUND_VARIABLE_334907 tptp.nat)) (= (ll_4409 BOUND_VARIABLE_334906 BOUND_VARIABLE_334907) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334906) BOUND_VARIABLE_334907)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15562 (forall ((BOUND_VARIABLE_334894 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334895 tptp.nat) (BOUND_VARIABLE_334896 tptp.set_nat) (BOUND_VARIABLE_334897 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334897) (@ BOUND_VARIABLE_334894 BOUND_VARIABLE_334895)) BOUND_VARIABLE_334896) (ll_4408 BOUND_VARIABLE_334894 BOUND_VARIABLE_334895 BOUND_VARIABLE_334896 BOUND_VARIABLE_334897))))) (let ((_let_15563 (forall ((BOUND_VARIABLE_334882 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334883 tptp.nat) (BOUND_VARIABLE_334884 tptp.set_nat) (BOUND_VARIABLE_334885 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334885) (@ BOUND_VARIABLE_334882 BOUND_VARIABLE_334883)) BOUND_VARIABLE_334884) (ll_4407 BOUND_VARIABLE_334882 BOUND_VARIABLE_334883 BOUND_VARIABLE_334884 BOUND_VARIABLE_334885))))) (let ((_let_15564 (forall ((BOUND_VARIABLE_334870 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_334871 Bool) (BOUND_VARIABLE_334872 tptp.set_nat) (BOUND_VARIABLE_334873 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334873) (@ BOUND_VARIABLE_334870 BOUND_VARIABLE_334871)) BOUND_VARIABLE_334872) (ll_4406 BOUND_VARIABLE_334870 BOUND_VARIABLE_334871 BOUND_VARIABLE_334872 BOUND_VARIABLE_334873))))) (let ((_let_15565 (forall ((BOUND_VARIABLE_334858 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_334859 Bool) (BOUND_VARIABLE_334860 tptp.set_nat) (BOUND_VARIABLE_334861 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334861) (@ BOUND_VARIABLE_334858 BOUND_VARIABLE_334859)) BOUND_VARIABLE_334860) (ll_4405 BOUND_VARIABLE_334858 BOUND_VARIABLE_334859 BOUND_VARIABLE_334860 BOUND_VARIABLE_334861))))) (let ((_let_15566 (forall ((BOUND_VARIABLE_334846 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_334847 tptp.product_unit) (BOUND_VARIABLE_334848 tptp.set_nat) (BOUND_VARIABLE_334849 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334849) (@ BOUND_VARIABLE_334846 BOUND_VARIABLE_334847)) BOUND_VARIABLE_334848) (ll_4404 BOUND_VARIABLE_334846 BOUND_VARIABLE_334847 BOUND_VARIABLE_334848 BOUND_VARIABLE_334849))))) (let ((_let_15567 (forall ((BOUND_VARIABLE_334834 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_334835 tptp.product_unit) (BOUND_VARIABLE_334836 tptp.set_nat) (BOUND_VARIABLE_334837 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334837) (@ BOUND_VARIABLE_334834 BOUND_VARIABLE_334835)) BOUND_VARIABLE_334836) (ll_4403 BOUND_VARIABLE_334834 BOUND_VARIABLE_334835 BOUND_VARIABLE_334836 BOUND_VARIABLE_334837))))) (let ((_let_15568 (forall ((BOUND_VARIABLE_334822 tptp.set_nat) (BOUND_VARIABLE_334823 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334824 tptp.nat) (BOUND_VARIABLE_334825 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334825) BOUND_VARIABLE_334822) (@ BOUND_VARIABLE_334823 BOUND_VARIABLE_334824)) (ll_4402 BOUND_VARIABLE_334822 BOUND_VARIABLE_334823 BOUND_VARIABLE_334824 BOUND_VARIABLE_334825))))) (let ((_let_15569 (forall ((BOUND_VARIABLE_334810 tptp.set_nat) (BOUND_VARIABLE_334811 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334812 tptp.nat) (BOUND_VARIABLE_334813 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334813) BOUND_VARIABLE_334810) (@ BOUND_VARIABLE_334811 BOUND_VARIABLE_334812)) (ll_4401 BOUND_VARIABLE_334810 BOUND_VARIABLE_334811 BOUND_VARIABLE_334812 BOUND_VARIABLE_334813))))) (let ((_let_15570 (forall ((BOUND_VARIABLE_334798 tptp.set_nat) (BOUND_VARIABLE_334799 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_334800 Bool) (BOUND_VARIABLE_334801 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334801) BOUND_VARIABLE_334798) (@ BOUND_VARIABLE_334799 BOUND_VARIABLE_334800)) (ll_4400 BOUND_VARIABLE_334798 BOUND_VARIABLE_334799 BOUND_VARIABLE_334800 BOUND_VARIABLE_334801))))) (let ((_let_15571 (forall ((BOUND_VARIABLE_334786 tptp.set_nat) (BOUND_VARIABLE_334787 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_334788 Bool) (BOUND_VARIABLE_334789 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334789) BOUND_VARIABLE_334786) (@ BOUND_VARIABLE_334787 BOUND_VARIABLE_334788)) (ll_4399 BOUND_VARIABLE_334786 BOUND_VARIABLE_334787 BOUND_VARIABLE_334788 BOUND_VARIABLE_334789))))) (let ((_let_15572 (forall ((BOUND_VARIABLE_334774 tptp.set_nat) (BOUND_VARIABLE_334775 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_334776 tptp.product_unit) (BOUND_VARIABLE_334777 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334777) BOUND_VARIABLE_334774) (@ BOUND_VARIABLE_334775 BOUND_VARIABLE_334776)) (ll_4398 BOUND_VARIABLE_334774 BOUND_VARIABLE_334775 BOUND_VARIABLE_334776 BOUND_VARIABLE_334777))))) (let ((_let_15573 (forall ((BOUND_VARIABLE_334762 tptp.set_nat) (BOUND_VARIABLE_334763 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_334764 tptp.product_unit) (BOUND_VARIABLE_334765 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_334765) BOUND_VARIABLE_334762) (@ BOUND_VARIABLE_334763 BOUND_VARIABLE_334764)) (ll_4397 BOUND_VARIABLE_334762 BOUND_VARIABLE_334763 BOUND_VARIABLE_334764 BOUND_VARIABLE_334765))))) (let ((_let_15574 (forall ((BOUND_VARIABLE_334749 tptp.nat) (BOUND_VARIABLE_334750 tptp.nat)) (= (ll_4396 BOUND_VARIABLE_334749 BOUND_VARIABLE_334750) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334749) BOUND_VARIABLE_334750)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15575 (forall ((BOUND_VARIABLE_334736 tptp.int) (BOUND_VARIABLE_334737 tptp.int)) (= (ll_4395 BOUND_VARIABLE_334736 BOUND_VARIABLE_334737) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334736) BOUND_VARIABLE_334737)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15576 (forall ((BOUND_VARIABLE_334723 tptp.int) (BOUND_VARIABLE_334724 tptp.int)) (= (ll_4394 BOUND_VARIABLE_334723 BOUND_VARIABLE_334724) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334723) BOUND_VARIABLE_334724)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15577 (forall ((BOUND_VARIABLE_334710 tptp.int) (BOUND_VARIABLE_334711 tptp.int)) (= (ll_4393 BOUND_VARIABLE_334710 BOUND_VARIABLE_334711) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334710) BOUND_VARIABLE_334711)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15578 (forall ((BOUND_VARIABLE_334697 tptp.nat) (BOUND_VARIABLE_334698 tptp.nat)) (= (ll_4392 BOUND_VARIABLE_334697 BOUND_VARIABLE_334698) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334697) BOUND_VARIABLE_334698)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15579 (forall ((BOUND_VARIABLE_334684 tptp.nat) (BOUND_VARIABLE_334685 tptp.nat)) (= (ll_4391 BOUND_VARIABLE_334684 BOUND_VARIABLE_334685) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334684) BOUND_VARIABLE_334685)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15580 (forall ((BOUND_VARIABLE_334671 tptp.nat) (BOUND_VARIABLE_334672 tptp.nat)) (= (ll_4390 BOUND_VARIABLE_334671 BOUND_VARIABLE_334672) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334671) BOUND_VARIABLE_334672)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15581 (forall ((BOUND_VARIABLE_334658 tptp.nat) (BOUND_VARIABLE_334659 tptp.nat)) (= (ll_4389 BOUND_VARIABLE_334658 BOUND_VARIABLE_334659) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334658) BOUND_VARIABLE_334659)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15582 (forall ((BOUND_VARIABLE_334645 tptp.nat) (BOUND_VARIABLE_334646 tptp.nat)) (= (ll_4388 BOUND_VARIABLE_334645 BOUND_VARIABLE_334646) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334645) BOUND_VARIABLE_334646)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15583 (forall ((BOUND_VARIABLE_334632 tptp.nat) (BOUND_VARIABLE_334633 tptp.nat)) (= (ll_4387 BOUND_VARIABLE_334632 BOUND_VARIABLE_334633) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334632) BOUND_VARIABLE_334633)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15584 (forall ((BOUND_VARIABLE_334619 tptp.nat) (BOUND_VARIABLE_334620 tptp.nat)) (= (ll_4386 BOUND_VARIABLE_334619 BOUND_VARIABLE_334620) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334619) BOUND_VARIABLE_334620)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15585 (forall ((BOUND_VARIABLE_334606 tptp.nat) (BOUND_VARIABLE_334607 tptp.nat)) (= (ll_4385 BOUND_VARIABLE_334606 BOUND_VARIABLE_334607) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334606) BOUND_VARIABLE_334607)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15586 (forall ((BOUND_VARIABLE_334593 tptp.nat) (BOUND_VARIABLE_334594 tptp.nat)) (= (ll_4384 BOUND_VARIABLE_334593 BOUND_VARIABLE_334594) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334593) BOUND_VARIABLE_334594)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15587 (forall ((BOUND_VARIABLE_334580 tptp.int) (BOUND_VARIABLE_334581 tptp.int)) (= (ll_4383 BOUND_VARIABLE_334580 BOUND_VARIABLE_334581) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334580) BOUND_VARIABLE_334581)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15588 (forall ((BOUND_VARIABLE_334567 tptp.nat) (BOUND_VARIABLE_334568 tptp.nat)) (= (ll_4382 BOUND_VARIABLE_334567 BOUND_VARIABLE_334568) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334567) BOUND_VARIABLE_334568)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15589 (forall ((BOUND_VARIABLE_334554 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334555 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4381 BOUND_VARIABLE_334554 BOUND_VARIABLE_334555) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334554) BOUND_VARIABLE_334555)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15590 (forall ((BOUND_VARIABLE_334541 tptp.int) (BOUND_VARIABLE_334542 tptp.int)) (= (ll_4380 BOUND_VARIABLE_334541 BOUND_VARIABLE_334542) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334541) BOUND_VARIABLE_334542)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15591 (forall ((BOUND_VARIABLE_334528 tptp.nat) (BOUND_VARIABLE_334529 tptp.nat)) (= (ll_4379 BOUND_VARIABLE_334528 BOUND_VARIABLE_334529) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334528) BOUND_VARIABLE_334529)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15592 (forall ((BOUND_VARIABLE_334515 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334516 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4378 BOUND_VARIABLE_334515 BOUND_VARIABLE_334516) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334515) BOUND_VARIABLE_334516)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15593 (forall ((BOUND_VARIABLE_334502 tptp.int) (BOUND_VARIABLE_334503 tptp.int)) (= (ll_4377 BOUND_VARIABLE_334502 BOUND_VARIABLE_334503) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334502) BOUND_VARIABLE_334503)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15594 (forall ((BOUND_VARIABLE_334489 tptp.nat) (BOUND_VARIABLE_334490 tptp.nat)) (= (ll_4376 BOUND_VARIABLE_334489 BOUND_VARIABLE_334490) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334489) BOUND_VARIABLE_334490)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15595 (forall ((BOUND_VARIABLE_334476 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334477 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4375 BOUND_VARIABLE_334476 BOUND_VARIABLE_334477) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334476) BOUND_VARIABLE_334477)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15596 (forall ((BOUND_VARIABLE_334463 tptp.int) (BOUND_VARIABLE_334464 tptp.int)) (= (ll_4374 BOUND_VARIABLE_334463 BOUND_VARIABLE_334464) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334463) BOUND_VARIABLE_334464)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15597 (forall ((BOUND_VARIABLE_334450 tptp.nat) (BOUND_VARIABLE_334451 tptp.nat)) (= (ll_4373 BOUND_VARIABLE_334450 BOUND_VARIABLE_334451) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334450) BOUND_VARIABLE_334451)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15598 (forall ((BOUND_VARIABLE_334437 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334438 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4372 BOUND_VARIABLE_334437 BOUND_VARIABLE_334438) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334437) BOUND_VARIABLE_334438)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15599 (forall ((BOUND_VARIABLE_334395 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334396 tptp.nat) (BOUND_VARIABLE_334397 tptp.nat)) (= (ll_4371 BOUND_VARIABLE_334395 BOUND_VARIABLE_334396 BOUND_VARIABLE_334397) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ ll_4473 BOUND_VARIABLE_334397) BOUND_VARIABLE_334395) BOUND_VARIABLE_334396)))))) (let ((_let_15600 (forall ((BOUND_VARIABLE_334362 tptp.nat) (BOUND_VARIABLE_334363 tptp.set_nat) (BOUND_VARIABLE_334364 tptp.product_prod_nat_nat)) (= (ll_4370 BOUND_VARIABLE_334362 BOUND_VARIABLE_334363 BOUND_VARIABLE_334364) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_334364)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4472 BOUND_VARIABLE_334362)) BOUND_VARIABLE_334363))))))) (let ((_let_15601 (forall ((BOUND_VARIABLE_334349 tptp.nat) (BOUND_VARIABLE_334350 tptp.nat)) (= (ll_4369 BOUND_VARIABLE_334349 BOUND_VARIABLE_334350) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334349) BOUND_VARIABLE_334350)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15602 (forall ((BOUND_VARIABLE_334336 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334337 tptp.set_nat) (BOUND_VARIABLE_334338 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_334338)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_334336) BOUND_VARIABLE_334337))) (ll_4368 BOUND_VARIABLE_334336 BOUND_VARIABLE_334337 BOUND_VARIABLE_334338))))) (let ((_let_15603 (forall ((BOUND_VARIABLE_334323 tptp.nat) (BOUND_VARIABLE_334324 tptp.nat)) (= (ll_4367 BOUND_VARIABLE_334323 BOUND_VARIABLE_334324) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334323) BOUND_VARIABLE_334324)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15604 (forall ((BOUND_VARIABLE_334285 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_334286 tptp.nat)) (= (ll_4366 BOUND_VARIABLE_334285 BOUND_VARIABLE_334286) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4471 BOUND_VARIABLE_334285) BOUND_VARIABLE_334286)))))) (let ((_let_15605 (forall ((BOUND_VARIABLE_334272 tptp.nat) (BOUND_VARIABLE_334273 tptp.nat)) (= (ll_4365 BOUND_VARIABLE_334272 BOUND_VARIABLE_334273) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334272) BOUND_VARIABLE_334273)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15606 (forall ((BOUND_VARIABLE_334259 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334260 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4364 BOUND_VARIABLE_334259 BOUND_VARIABLE_334260) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334259) BOUND_VARIABLE_334260)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15607 (forall ((BOUND_VARIABLE_334246 tptp.int) (BOUND_VARIABLE_334247 tptp.int)) (= (ll_4363 BOUND_VARIABLE_334246 BOUND_VARIABLE_334247) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334246) BOUND_VARIABLE_334247)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15608 (forall ((BOUND_VARIABLE_334233 tptp.nat) (BOUND_VARIABLE_334234 tptp.nat)) (= (ll_4362 BOUND_VARIABLE_334233 BOUND_VARIABLE_334234) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334233) BOUND_VARIABLE_334234)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15609 (forall ((BOUND_VARIABLE_334220 tptp.int) (BOUND_VARIABLE_334221 tptp.int)) (= (ll_4361 BOUND_VARIABLE_334220 BOUND_VARIABLE_334221) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_334220) BOUND_VARIABLE_334221)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15610 (forall ((BOUND_VARIABLE_334207 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334208 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4360 BOUND_VARIABLE_334207 BOUND_VARIABLE_334208) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334207) BOUND_VARIABLE_334208)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15611 (forall ((BOUND_VARIABLE_334194 tptp.nat) (BOUND_VARIABLE_334195 tptp.nat)) (= (ll_4359 BOUND_VARIABLE_334194 BOUND_VARIABLE_334195) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334194) BOUND_VARIABLE_334195)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15612 (forall ((BOUND_VARIABLE_334181 tptp.nat) (BOUND_VARIABLE_334182 tptp.nat)) (= (ll_4358 BOUND_VARIABLE_334181 BOUND_VARIABLE_334182) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334181) BOUND_VARIABLE_334182)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15613 (forall ((BOUND_VARIABLE_334168 tptp.nat) (BOUND_VARIABLE_334169 tptp.nat)) (= (ll_4357 BOUND_VARIABLE_334168 BOUND_VARIABLE_334169) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334168) BOUND_VARIABLE_334169)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15614 (forall ((BOUND_VARIABLE_334155 tptp.nat) (BOUND_VARIABLE_334156 tptp.nat)) (= (ll_4356 BOUND_VARIABLE_334155 BOUND_VARIABLE_334156) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334155) BOUND_VARIABLE_334156)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15615 (forall ((BOUND_VARIABLE_334142 tptp.nat) (BOUND_VARIABLE_334143 tptp.nat)) (= (ll_4355 BOUND_VARIABLE_334142 BOUND_VARIABLE_334143) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334142) BOUND_VARIABLE_334143)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15616 (forall ((BOUND_VARIABLE_334129 tptp.nat) (BOUND_VARIABLE_334130 tptp.nat)) (= (ll_4354 BOUND_VARIABLE_334129 BOUND_VARIABLE_334130) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334129) BOUND_VARIABLE_334130)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15617 (forall ((BOUND_VARIABLE_334116 tptp.nat) (BOUND_VARIABLE_334117 tptp.nat)) (= (ll_4353 BOUND_VARIABLE_334116 BOUND_VARIABLE_334117) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334116) BOUND_VARIABLE_334117)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15618 (forall ((BOUND_VARIABLE_334103 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334104 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4352 BOUND_VARIABLE_334103 BOUND_VARIABLE_334104) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334103) BOUND_VARIABLE_334104)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15619 (forall ((BOUND_VARIABLE_334090 tptp.nat) (BOUND_VARIABLE_334091 tptp.nat)) (= (ll_4351 BOUND_VARIABLE_334090 BOUND_VARIABLE_334091) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334090) BOUND_VARIABLE_334091)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15620 (forall ((BOUND_VARIABLE_334077 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334078 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4350 BOUND_VARIABLE_334077 BOUND_VARIABLE_334078) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334077) BOUND_VARIABLE_334078)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15621 (forall ((BOUND_VARIABLE_334064 tptp.nat) (BOUND_VARIABLE_334065 tptp.nat)) (= (ll_4349 BOUND_VARIABLE_334064 BOUND_VARIABLE_334065) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334064) BOUND_VARIABLE_334065)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15622 (forall ((BOUND_VARIABLE_334051 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_334052 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4348 BOUND_VARIABLE_334051 BOUND_VARIABLE_334052) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_334051) BOUND_VARIABLE_334052)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15623 (forall ((BOUND_VARIABLE_334038 tptp.nat) (BOUND_VARIABLE_334039 tptp.nat)) (= (ll_4347 BOUND_VARIABLE_334038 BOUND_VARIABLE_334039) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334038) BOUND_VARIABLE_334039)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15624 (forall ((BOUND_VARIABLE_334025 tptp.nat) (BOUND_VARIABLE_334026 tptp.nat)) (= (ll_4346 BOUND_VARIABLE_334025 BOUND_VARIABLE_334026) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334025) BOUND_VARIABLE_334026)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15625 (forall ((BOUND_VARIABLE_334012 tptp.nat) (BOUND_VARIABLE_334013 tptp.nat)) (= (ll_4345 BOUND_VARIABLE_334012 BOUND_VARIABLE_334013) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_334012) BOUND_VARIABLE_334013)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15626 (forall ((BOUND_VARIABLE_333999 tptp.nat) (BOUND_VARIABLE_334000 tptp.nat)) (= (ll_4344 BOUND_VARIABLE_333999 BOUND_VARIABLE_334000) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333999) BOUND_VARIABLE_334000)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15627 (forall ((BOUND_VARIABLE_333986 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333987 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4343 BOUND_VARIABLE_333986 BOUND_VARIABLE_333987) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_333986) BOUND_VARIABLE_333987)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15628 (forall ((BOUND_VARIABLE_333973 tptp.int) (BOUND_VARIABLE_333974 tptp.int)) (= (ll_4342 BOUND_VARIABLE_333973 BOUND_VARIABLE_333974) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333973) BOUND_VARIABLE_333974)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15629 (forall ((BOUND_VARIABLE_333960 tptp.int) (BOUND_VARIABLE_333961 tptp.int)) (= (ll_4341 BOUND_VARIABLE_333960 BOUND_VARIABLE_333961) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333960) BOUND_VARIABLE_333961)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15630 (forall ((BOUND_VARIABLE_333947 tptp.int) (BOUND_VARIABLE_333948 tptp.int)) (= (ll_4340 BOUND_VARIABLE_333947 BOUND_VARIABLE_333948) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333947) BOUND_VARIABLE_333948)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15631 (forall ((BOUND_VARIABLE_333934 tptp.int) (BOUND_VARIABLE_333935 tptp.int)) (= (ll_4339 BOUND_VARIABLE_333934 BOUND_VARIABLE_333935) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333934) BOUND_VARIABLE_333935)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15632 (forall ((BOUND_VARIABLE_333921 tptp.nat) (BOUND_VARIABLE_333922 tptp.nat)) (= (ll_4338 BOUND_VARIABLE_333921 BOUND_VARIABLE_333922) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333921) BOUND_VARIABLE_333922)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15633 (forall ((BOUND_VARIABLE_333908 tptp.nat) (BOUND_VARIABLE_333909 tptp.nat)) (= (ll_4337 BOUND_VARIABLE_333908 BOUND_VARIABLE_333909) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333908) BOUND_VARIABLE_333909)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15634 (forall ((BOUND_VARIABLE_333895 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333896 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4336 BOUND_VARIABLE_333895 BOUND_VARIABLE_333896) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_333895) BOUND_VARIABLE_333896)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15635 (forall ((BOUND_VARIABLE_333882 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333883 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4335 BOUND_VARIABLE_333882 BOUND_VARIABLE_333883) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_333882) BOUND_VARIABLE_333883)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15636 (forall ((BOUND_VARIABLE_333869 tptp.nat) (BOUND_VARIABLE_333870 tptp.nat)) (= (ll_4334 BOUND_VARIABLE_333869 BOUND_VARIABLE_333870) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333869) BOUND_VARIABLE_333870)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15637 (forall ((BOUND_VARIABLE_333856 tptp.nat) (BOUND_VARIABLE_333857 tptp.nat)) (= (ll_4333 BOUND_VARIABLE_333856 BOUND_VARIABLE_333857) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333856) BOUND_VARIABLE_333857)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15638 (forall ((BOUND_VARIABLE_333843 tptp.nat) (BOUND_VARIABLE_333844 tptp.nat)) (= (ll_4332 BOUND_VARIABLE_333843 BOUND_VARIABLE_333844) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333843) BOUND_VARIABLE_333844)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15639 (forall ((BOUND_VARIABLE_333830 tptp.int) (BOUND_VARIABLE_333831 tptp.int)) (= (ll_4331 BOUND_VARIABLE_333830 BOUND_VARIABLE_333831) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333830) BOUND_VARIABLE_333831)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15640 (forall ((BOUND_VARIABLE_333817 tptp.nat) (BOUND_VARIABLE_333818 tptp.nat)) (= (ll_4330 BOUND_VARIABLE_333817 BOUND_VARIABLE_333818) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333817) BOUND_VARIABLE_333818)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15641 (forall ((BOUND_VARIABLE_333804 tptp.nat) (BOUND_VARIABLE_333805 tptp.nat)) (= (ll_4329 BOUND_VARIABLE_333804 BOUND_VARIABLE_333805) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333804) BOUND_VARIABLE_333805)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15642 (forall ((BOUND_VARIABLE_333791 tptp.nat) (BOUND_VARIABLE_333792 tptp.nat)) (= (ll_4328 BOUND_VARIABLE_333791 BOUND_VARIABLE_333792) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333791) BOUND_VARIABLE_333792)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15643 (forall ((BOUND_VARIABLE_333778 tptp.nat) (BOUND_VARIABLE_333779 tptp.nat)) (= (ll_4327 BOUND_VARIABLE_333778 BOUND_VARIABLE_333779) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333778) BOUND_VARIABLE_333779)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15644 (forall ((BOUND_VARIABLE_333765 tptp.int) (BOUND_VARIABLE_333766 tptp.int)) (= (ll_4326 BOUND_VARIABLE_333765 BOUND_VARIABLE_333766) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333765) BOUND_VARIABLE_333766)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15645 (forall ((BOUND_VARIABLE_333752 tptp.nat) (BOUND_VARIABLE_333753 tptp.nat)) (= (ll_4325 BOUND_VARIABLE_333752 BOUND_VARIABLE_333753) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333752) BOUND_VARIABLE_333753)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15646 (forall ((BOUND_VARIABLE_333739 tptp.nat) (BOUND_VARIABLE_333740 tptp.nat)) (= (ll_4324 BOUND_VARIABLE_333739 BOUND_VARIABLE_333740) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333739) BOUND_VARIABLE_333740)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15647 (forall ((BOUND_VARIABLE_333726 tptp.int) (BOUND_VARIABLE_333727 tptp.int)) (= (ll_4323 BOUND_VARIABLE_333726 BOUND_VARIABLE_333727) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333726) BOUND_VARIABLE_333727)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15648 (forall ((BOUND_VARIABLE_333713 tptp.nat) (BOUND_VARIABLE_333714 tptp.nat)) (= (ll_4322 BOUND_VARIABLE_333713 BOUND_VARIABLE_333714) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333713) BOUND_VARIABLE_333714)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15649 (forall ((BOUND_VARIABLE_333700 tptp.int) (BOUND_VARIABLE_333701 tptp.int)) (= (ll_4321 BOUND_VARIABLE_333700 BOUND_VARIABLE_333701) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333700) BOUND_VARIABLE_333701)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15650 (forall ((BOUND_VARIABLE_333687 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333688 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4320 BOUND_VARIABLE_333687 BOUND_VARIABLE_333688) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_333687) BOUND_VARIABLE_333688)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15651 (forall ((BOUND_VARIABLE_333674 tptp.nat) (BOUND_VARIABLE_333675 tptp.nat)) (= (ll_4319 BOUND_VARIABLE_333674 BOUND_VARIABLE_333675) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333674) BOUND_VARIABLE_333675)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15652 (forall ((BOUND_VARIABLE_333661 tptp.int) (BOUND_VARIABLE_333662 tptp.int)) (= (ll_4318 BOUND_VARIABLE_333661 BOUND_VARIABLE_333662) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333661) BOUND_VARIABLE_333662)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15653 (forall ((BOUND_VARIABLE_333648 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_333649 tptp.set_Pr1261947904930325089at_nat)) (= (ll_4317 BOUND_VARIABLE_333648 BOUND_VARIABLE_333649) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_333648) BOUND_VARIABLE_333649)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_15654 (forall ((BOUND_VARIABLE_333635 tptp.nat) (BOUND_VARIABLE_333636 tptp.nat)) (= (ll_4316 BOUND_VARIABLE_333635 BOUND_VARIABLE_333636) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333635) BOUND_VARIABLE_333636)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15655 (forall ((BOUND_VARIABLE_333622 tptp.int) (BOUND_VARIABLE_333623 tptp.int)) (= (ll_4315 BOUND_VARIABLE_333622 BOUND_VARIABLE_333623) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333622) BOUND_VARIABLE_333623)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15656 (forall ((BOUND_VARIABLE_333609 tptp.nat) (BOUND_VARIABLE_333610 tptp.nat)) (= (ll_4314 BOUND_VARIABLE_333609 BOUND_VARIABLE_333610) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333609) BOUND_VARIABLE_333610)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15657 (forall ((BOUND_VARIABLE_333596 tptp.nat) (BOUND_VARIABLE_333597 tptp.nat)) (= (ll_4313 BOUND_VARIABLE_333596 BOUND_VARIABLE_333597) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333596) BOUND_VARIABLE_333597)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15658 (forall ((BOUND_VARIABLE_333583 tptp.nat) (BOUND_VARIABLE_333584 tptp.nat)) (= (ll_4312 BOUND_VARIABLE_333583 BOUND_VARIABLE_333584) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333583) BOUND_VARIABLE_333584)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15659 (forall ((BOUND_VARIABLE_333570 tptp.nat) (BOUND_VARIABLE_333571 tptp.nat)) (= (ll_4311 BOUND_VARIABLE_333570 BOUND_VARIABLE_333571) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333570) BOUND_VARIABLE_333571)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15660 (forall ((BOUND_VARIABLE_333557 tptp.int) (BOUND_VARIABLE_333558 tptp.int)) (= (ll_4310 BOUND_VARIABLE_333557 BOUND_VARIABLE_333558) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333557) BOUND_VARIABLE_333558)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15661 (forall ((BOUND_VARIABLE_333544 tptp.nat) (BOUND_VARIABLE_333545 tptp.nat)) (= (ll_4309 BOUND_VARIABLE_333544 BOUND_VARIABLE_333545) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333544) BOUND_VARIABLE_333545)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15662 (forall ((BOUND_VARIABLE_333531 tptp.nat) (BOUND_VARIABLE_333532 tptp.nat)) (= (ll_4308 BOUND_VARIABLE_333531 BOUND_VARIABLE_333532) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333531) BOUND_VARIABLE_333532)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15663 (forall ((BOUND_VARIABLE_333518 tptp.int) (BOUND_VARIABLE_333519 tptp.int)) (= (ll_4307 BOUND_VARIABLE_333518 BOUND_VARIABLE_333519) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333518) BOUND_VARIABLE_333519)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15664 (forall ((BOUND_VARIABLE_333505 tptp.nat) (BOUND_VARIABLE_333506 tptp.nat)) (= (ll_4306 BOUND_VARIABLE_333505 BOUND_VARIABLE_333506) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333505) BOUND_VARIABLE_333506)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15665 (forall ((BOUND_VARIABLE_333492 tptp.int) (BOUND_VARIABLE_333493 tptp.int)) (= (ll_4305 BOUND_VARIABLE_333492 BOUND_VARIABLE_333493) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333492) BOUND_VARIABLE_333493)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15666 (forall ((BOUND_VARIABLE_333479 tptp.nat) (BOUND_VARIABLE_333480 tptp.nat)) (= (ll_4304 BOUND_VARIABLE_333479 BOUND_VARIABLE_333480) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333479) BOUND_VARIABLE_333480)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15667 (forall ((BOUND_VARIABLE_333466 tptp.nat) (BOUND_VARIABLE_333467 tptp.nat)) (= (ll_4303 BOUND_VARIABLE_333466 BOUND_VARIABLE_333467) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_333466) BOUND_VARIABLE_333467)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15668 (forall ((BOUND_VARIABLE_333453 tptp.int) (BOUND_VARIABLE_333454 tptp.int)) (= (ll_4302 BOUND_VARIABLE_333453 BOUND_VARIABLE_333454) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333453) BOUND_VARIABLE_333454)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15669 (forall ((BOUND_VARIABLE_333440 tptp.int) (BOUND_VARIABLE_333441 tptp.int)) (= (ll_4301 BOUND_VARIABLE_333440 BOUND_VARIABLE_333441) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333440) BOUND_VARIABLE_333441)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15670 (forall ((BOUND_VARIABLE_333427 tptp.int) (BOUND_VARIABLE_333428 tptp.int)) (= (ll_4300 BOUND_VARIABLE_333427 BOUND_VARIABLE_333428) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_333427) BOUND_VARIABLE_333428)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_15671 (forall ((BOUND_VARIABLE_333388 tptp.num) (BOUND_VARIABLE_333389 tptp.nat)) (= (ll_4299 BOUND_VARIABLE_333388 BOUND_VARIABLE_333389) (@ (@ (@ (@ tptp.case_num_option_num (@ tptp.some_num tptp.one)) (@ ll_4470 BOUND_VARIABLE_333389)) (@ ll_4469 BOUND_VARIABLE_333389)) BOUND_VARIABLE_333388))))) (let ((_let_15672 (forall ((BOUND_VARIABLE_333380 tptp.nat) (BOUND_VARIABLE_333381 tptp.nat)) (= (@ (@ tptp.dvd_dvd_nat BOUND_VARIABLE_333381) BOUND_VARIABLE_333380) (ll_4298 BOUND_VARIABLE_333380 BOUND_VARIABLE_333381))))) (let ((_let_15673 (forall ((BOUND_VARIABLE_333337 tptp.nat) (BOUND_VARIABLE_333338 tptp.nat) (BOUND_VARIABLE_333339 tptp.product_prod_nat_nat)) (= (ll_4297 BOUND_VARIABLE_333337 BOUND_VARIABLE_333338 BOUND_VARIABLE_333339) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_333339)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4468 BOUND_VARIABLE_333337)) (@ tptp.collect_nat (@ ll_4467 BOUND_VARIABLE_333338))))))))) (let ((_let_15674 (forall ((BOUND_VARIABLE_333303 tptp.nat) (BOUND_VARIABLE_333304 tptp.nat) (BOUND_VARIABLE_333305 tptp.product_prod_nat_nat)) (= (ll_4296 BOUND_VARIABLE_333303 BOUND_VARIABLE_333304 BOUND_VARIABLE_333305) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_333305)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4466 BOUND_VARIABLE_333303)) (@ (@ tptp.order_underS_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_eq_nat))) BOUND_VARIABLE_333304)))))))) (let ((_let_15675 (forall ((BOUND_VARIABLE_333289 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_333290 tptp.nat)) (= (ll_4295 BOUND_VARIABLE_333289 BOUND_VARIABLE_333290) (@ (@ tptp.vimage_nat_nat BOUND_VARIABLE_333289) (@ (@ tptp.insert_nat BOUND_VARIABLE_333290) (@ tptp.collect_nat ll_1295))))))) (let ((_let_15676 (forall ((BOUND_VARIABLE_333279 (-> tptp.nat Bool)) (BOUND_VARIABLE_333280 Bool)) (= (@ (@ tptp.vimage_nat_o BOUND_VARIABLE_333279) (@ (@ tptp.insert_o BOUND_VARIABLE_333280) tptp.bot_bot_set_o)) (ll_4294 BOUND_VARIABLE_333279 BOUND_VARIABLE_333280))))) (let ((_let_15677 (forall ((BOUND_VARIABLE_333265 (-> tptp.nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_333266 tptp.product_prod_nat_nat)) (= (ll_4293 BOUND_VARIABLE_333265 BOUND_VARIABLE_333266) (@ (@ tptp.vimage8013328719654469172at_nat BOUND_VARIABLE_333265) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_333266) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334)))))))) (let ((_let_15678 (forall ((BOUND_VARIABLE_333251 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_333252 tptp.produc3843707927480180839at_nat)) (= (ll_4292 BOUND_VARIABLE_333251 BOUND_VARIABLE_333252) (@ (@ tptp.vimage6435164912253009178at_nat BOUND_VARIABLE_333251) (@ (@ tptp.insert9069300056098147895at_nat BOUND_VARIABLE_333252) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332)))))))) (let ((_let_15679 (forall ((BOUND_VARIABLE_333241 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_333242 tptp.product_unit)) (= (@ (@ tptp.vimage4884490618288580032t_unit BOUND_VARIABLE_333241) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_333242) tptp.bot_bo3957492148770167129t_unit)) (ll_4291 BOUND_VARIABLE_333241 BOUND_VARIABLE_333242))))) (let ((_let_15680 (forall ((BOUND_VARIABLE_333208 tptp.nat) (BOUND_VARIABLE_333209 tptp.set_nat) (BOUND_VARIABLE_333210 tptp.product_prod_nat_nat)) (= (ll_4290 BOUND_VARIABLE_333208 BOUND_VARIABLE_333209 BOUND_VARIABLE_333210) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_333210)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4465 BOUND_VARIABLE_333208)) BOUND_VARIABLE_333209))))))) (let ((_let_15681 (forall ((BOUND_VARIABLE_333176 tptp.nat) (BOUND_VARIABLE_333177 tptp.product_prod_nat_nat)) (= (ll_4289 BOUND_VARIABLE_333176 BOUND_VARIABLE_333177) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_333177)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4464 BOUND_VARIABLE_333176)) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))))))) (let ((_let_15682 (forall ((BOUND_VARIABLE_333142 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_333143 tptp.int) (BOUND_VARIABLE_333144 tptp.product_prod_int_int)) (= (ll_4288 BOUND_VARIABLE_333142 BOUND_VARIABLE_333143 BOUND_VARIABLE_333144) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_333144)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4463 BOUND_VARIABLE_333143)) (@ BOUND_VARIABLE_333142 BOUND_VARIABLE_333143)))))))) (let ((_let_15683 (forall ((BOUND_VARIABLE_333108 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_333109 tptp.int) (BOUND_VARIABLE_333110 tptp.product_prod_int_int)) (= (ll_4287 BOUND_VARIABLE_333108 BOUND_VARIABLE_333109 BOUND_VARIABLE_333110) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_333110)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4462 BOUND_VARIABLE_333109)) (@ BOUND_VARIABLE_333108 BOUND_VARIABLE_333109)))))))) (let ((_let_15684 (forall ((BOUND_VARIABLE_333075 tptp.nat) (BOUND_VARIABLE_333076 tptp.set_nat) (BOUND_VARIABLE_333077 tptp.product_prod_nat_nat)) (= (ll_4286 BOUND_VARIABLE_333075 BOUND_VARIABLE_333076 BOUND_VARIABLE_333077) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_333077)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4461 BOUND_VARIABLE_333075)) BOUND_VARIABLE_333076))))))) (let ((_let_15685 (forall ((BOUND_VARIABLE_333065 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_333066 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_333067 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_333067) BOUND_VARIABLE_333065) BOUND_VARIABLE_333066) (ll_4285 BOUND_VARIABLE_333065 BOUND_VARIABLE_333066 BOUND_VARIABLE_333067))))) (let ((_let_15686 (forall ((BOUND_VARIABLE_333022 (-> tptp.int tptp.int)) (BOUND_VARIABLE_333023 (-> tptp.int tptp.int)) (BOUND_VARIABLE_333024 tptp.int) (BOUND_VARIABLE_333025 tptp.set_int) (BOUND_VARIABLE_333026 tptp.product_prod_int_int)) (= (ll_4284 BOUND_VARIABLE_333022 BOUND_VARIABLE_333023 BOUND_VARIABLE_333024 BOUND_VARIABLE_333025 BOUND_VARIABLE_333026) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_333026)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4460 BOUND_VARIABLE_333024)) (@ (@ tptp.image_int_int BOUND_VARIABLE_333022) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int BOUND_VARIABLE_333023) (@ (@ tptp.insert_int BOUND_VARIABLE_333024) tptp.bot_bot_set_int))) BOUND_VARIABLE_333025))))))))) (let ((_let_15687 (forall ((BOUND_VARIABLE_332979 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_332980 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_332981 tptp.int) (BOUND_VARIABLE_332982 tptp.set_nat) (BOUND_VARIABLE_332983 tptp.product_prod_int_int)) (= (ll_4283 BOUND_VARIABLE_332979 BOUND_VARIABLE_332980 BOUND_VARIABLE_332981 BOUND_VARIABLE_332982 BOUND_VARIABLE_332983) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_332983)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4459 BOUND_VARIABLE_332981)) (@ (@ tptp.image_nat_int BOUND_VARIABLE_332979) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int BOUND_VARIABLE_332980) (@ (@ tptp.insert_int BOUND_VARIABLE_332981) tptp.bot_bot_set_int))) BOUND_VARIABLE_332982))))))))) (let ((_let_15688 (forall ((BOUND_VARIABLE_332961 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332962 tptp.set_Product_unit) (BOUND_VARIABLE_332963 tptp.product_unit) (BOUND_VARIABLE_332964 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332964)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332961) (@ (@ tptp.minus_6452836326544984404t_unit BOUND_VARIABLE_332962) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_332963) tptp.bot_bo3957492148770167129t_unit))))) (ll_4282 BOUND_VARIABLE_332961 BOUND_VARIABLE_332962 BOUND_VARIABLE_332963 BOUND_VARIABLE_332964))))) (let ((_let_15689 (forall ((BOUND_VARIABLE_332943 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_332944 tptp.set_int) (BOUND_VARIABLE_332945 tptp.int) (BOUND_VARIABLE_332946 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332946)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_332943) (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_332944) (@ (@ tptp.insert_int BOUND_VARIABLE_332945) tptp.bot_bot_set_int))))) (ll_4281 BOUND_VARIABLE_332943 BOUND_VARIABLE_332944 BOUND_VARIABLE_332945 BOUND_VARIABLE_332946))))) (let ((_let_15690 (forall ((BOUND_VARIABLE_332931 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332932 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332932)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_332931) tptp.bot_bot_set_o))) (ll_4280 BOUND_VARIABLE_332931 BOUND_VARIABLE_332932))))) (let ((_let_15691 (forall ((BOUND_VARIABLE_332918 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332919 tptp.set_o) (BOUND_VARIABLE_332920 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332920)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_332918) BOUND_VARIABLE_332919))) (ll_4279 BOUND_VARIABLE_332918 BOUND_VARIABLE_332919 BOUND_VARIABLE_332920))))) (let ((_let_15692 (forall ((BOUND_VARIABLE_332881 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_332882 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332883 Bool) (BOUND_VARIABLE_332884 tptp.produc3843707927480180839at_nat)) (= (ll_4278 BOUND_VARIABLE_332881 BOUND_VARIABLE_332882 BOUND_VARIABLE_332883 BOUND_VARIABLE_332884) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332884)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_4458 BOUND_VARIABLE_332881) BOUND_VARIABLE_332882) BOUND_VARIABLE_332883)) tptp.top_top_set_o))))))) (let ((_let_15693 (forall ((BOUND_VARIABLE_332869 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332870 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332870)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_332869) tptp.bot_bo3957492148770167129t_unit))) (ll_4277 BOUND_VARIABLE_332869 BOUND_VARIABLE_332870))))) (let ((_let_15694 (forall ((BOUND_VARIABLE_332856 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332857 tptp.set_Product_unit) (BOUND_VARIABLE_332858 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332858)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_332856) BOUND_VARIABLE_332857))) (ll_4276 BOUND_VARIABLE_332856 BOUND_VARIABLE_332857 BOUND_VARIABLE_332858))))) (let ((_let_15695 (forall ((BOUND_VARIABLE_332819 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_332820 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332821 tptp.product_unit) (BOUND_VARIABLE_332822 tptp.produc3843707927480180839at_nat)) (= (ll_4275 BOUND_VARIABLE_332819 BOUND_VARIABLE_332820 BOUND_VARIABLE_332821 BOUND_VARIABLE_332822) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332822)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_4457 BOUND_VARIABLE_332819) BOUND_VARIABLE_332820) BOUND_VARIABLE_332821)) tptp.top_top_set_o))))))) (let ((_let_15696 (forall ((BOUND_VARIABLE_332802 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332803 tptp.nat)) (= (ll_4274 BOUND_VARIABLE_332802 BOUND_VARIABLE_332803) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332803)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332802) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_15697 (forall ((BOUND_VARIABLE_332789 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332790 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332791 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332791)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332789) BOUND_VARIABLE_332790))) (ll_4273 BOUND_VARIABLE_332789 BOUND_VARIABLE_332790 BOUND_VARIABLE_332791))))) (let ((_let_15698 (forall ((BOUND_VARIABLE_332752 tptp.set_nat) (BOUND_VARIABLE_332753 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332754 tptp.product_prod_nat_nat) (BOUND_VARIABLE_332755 tptp.nat)) (= (ll_4272 BOUND_VARIABLE_332752 BOUND_VARIABLE_332753 BOUND_VARIABLE_332754 BOUND_VARIABLE_332755) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332755)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4456 BOUND_VARIABLE_332752) BOUND_VARIABLE_332753) BOUND_VARIABLE_332754)) tptp.top_top_set_o))))))) (let ((_let_15699 (forall ((BOUND_VARIABLE_332735 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332736 tptp.nat)) (= (ll_4271 BOUND_VARIABLE_332735 BOUND_VARIABLE_332736) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332736)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_332735) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_15700 (forall ((BOUND_VARIABLE_332722 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332723 tptp.set_nat) (BOUND_VARIABLE_332724 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332724)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_332722) BOUND_VARIABLE_332723))) (ll_4270 BOUND_VARIABLE_332722 BOUND_VARIABLE_332723 BOUND_VARIABLE_332724))))) (let ((_let_15701 (forall ((BOUND_VARIABLE_332686 tptp.set_nat) (BOUND_VARIABLE_332687 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332688 tptp.nat) (BOUND_VARIABLE_332689 tptp.nat)) (= (ll_4269 BOUND_VARIABLE_332686 BOUND_VARIABLE_332687 BOUND_VARIABLE_332688 BOUND_VARIABLE_332689) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332689)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4455 BOUND_VARIABLE_332686) BOUND_VARIABLE_332687) BOUND_VARIABLE_332688)) tptp.top_top_set_o))))))) (let ((_let_15702 (forall ((BOUND_VARIABLE_332674 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332675 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332675)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_332674) tptp.bot_bot_set_o))) (ll_4268 BOUND_VARIABLE_332674 BOUND_VARIABLE_332675))))) (let ((_let_15703 (forall ((BOUND_VARIABLE_332661 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332662 tptp.set_o) (BOUND_VARIABLE_332663 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332663)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_332661) BOUND_VARIABLE_332662))) (ll_4267 BOUND_VARIABLE_332661 BOUND_VARIABLE_332662 BOUND_VARIABLE_332663))))) (let ((_let_15704 (forall ((BOUND_VARIABLE_332625 tptp.set_nat) (BOUND_VARIABLE_332626 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332627 Bool) (BOUND_VARIABLE_332628 tptp.nat)) (= (ll_4266 BOUND_VARIABLE_332625 BOUND_VARIABLE_332626 BOUND_VARIABLE_332627 BOUND_VARIABLE_332628) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332628)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4454 BOUND_VARIABLE_332625) BOUND_VARIABLE_332626) BOUND_VARIABLE_332627)) tptp.top_top_set_o))))))) (let ((_let_15705 (forall ((BOUND_VARIABLE_332613 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332614 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332614)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332613) tptp.bot_bo3957492148770167129t_unit))) (ll_4265 BOUND_VARIABLE_332613 BOUND_VARIABLE_332614))))) (let ((_let_15706 (forall ((BOUND_VARIABLE_332600 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332601 tptp.set_Product_unit) (BOUND_VARIABLE_332602 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332602)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332600) BOUND_VARIABLE_332601))) (ll_4264 BOUND_VARIABLE_332600 BOUND_VARIABLE_332601 BOUND_VARIABLE_332602))))) (let ((_let_15707 (forall ((BOUND_VARIABLE_332564 tptp.set_nat) (BOUND_VARIABLE_332565 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332566 tptp.product_unit) (BOUND_VARIABLE_332567 tptp.nat)) (= (ll_4263 BOUND_VARIABLE_332564 BOUND_VARIABLE_332565 BOUND_VARIABLE_332566 BOUND_VARIABLE_332567) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332567)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4453 BOUND_VARIABLE_332564) BOUND_VARIABLE_332565) BOUND_VARIABLE_332566)) tptp.top_top_set_o))))))) (let ((_let_15708 (forall ((BOUND_VARIABLE_332552 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332553 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332553)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_332552) tptp.bot_bot_set_o))) (ll_4262 BOUND_VARIABLE_332552 BOUND_VARIABLE_332553))))) (let ((_let_15709 (forall ((BOUND_VARIABLE_332539 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332540 tptp.set_o) (BOUND_VARIABLE_332541 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332541)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_332539) BOUND_VARIABLE_332540))) (ll_4261 BOUND_VARIABLE_332539 BOUND_VARIABLE_332540 BOUND_VARIABLE_332541))))) (let ((_let_15710 (forall ((BOUND_VARIABLE_332502 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332503 Bool) (BOUND_VARIABLE_332504 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_332505 tptp.produc3843707927480180839at_nat)) (= (ll_4260 BOUND_VARIABLE_332502 BOUND_VARIABLE_332503 BOUND_VARIABLE_332504 BOUND_VARIABLE_332505) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332505)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_4452 BOUND_VARIABLE_332502) BOUND_VARIABLE_332503) BOUND_VARIABLE_332504)) tptp.top_top_set_o))))))) (let ((_let_15711 (forall ((BOUND_VARIABLE_332490 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332491 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332491)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_332490) tptp.bot_bo3957492148770167129t_unit))) (ll_4259 BOUND_VARIABLE_332490 BOUND_VARIABLE_332491))))) (let ((_let_15712 (forall ((BOUND_VARIABLE_332477 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332478 tptp.set_Product_unit) (BOUND_VARIABLE_332479 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332479)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_332477) BOUND_VARIABLE_332478))) (ll_4258 BOUND_VARIABLE_332477 BOUND_VARIABLE_332478 BOUND_VARIABLE_332479))))) (let ((_let_15713 (forall ((BOUND_VARIABLE_332440 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332441 tptp.product_unit) (BOUND_VARIABLE_332442 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_332443 tptp.produc3843707927480180839at_nat)) (= (ll_4257 BOUND_VARIABLE_332440 BOUND_VARIABLE_332441 BOUND_VARIABLE_332442 BOUND_VARIABLE_332443) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332443)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_4451 BOUND_VARIABLE_332440) BOUND_VARIABLE_332441) BOUND_VARIABLE_332442)) tptp.top_top_set_o))))))) (let ((_let_15714 (forall ((BOUND_VARIABLE_332423 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332424 tptp.nat)) (= (ll_4256 BOUND_VARIABLE_332423 BOUND_VARIABLE_332424) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332424)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332423) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_15715 (forall ((BOUND_VARIABLE_332410 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332411 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332412 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332412)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332410) BOUND_VARIABLE_332411))) (ll_4255 BOUND_VARIABLE_332410 BOUND_VARIABLE_332411 BOUND_VARIABLE_332412))))) (let ((_let_15716 (forall ((BOUND_VARIABLE_332373 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332374 tptp.product_prod_nat_nat) (BOUND_VARIABLE_332375 tptp.set_nat) (BOUND_VARIABLE_332376 tptp.nat)) (= (ll_4254 BOUND_VARIABLE_332373 BOUND_VARIABLE_332374 BOUND_VARIABLE_332375 BOUND_VARIABLE_332376) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332376)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4450 BOUND_VARIABLE_332373) BOUND_VARIABLE_332374) BOUND_VARIABLE_332375)) tptp.top_top_set_o))))))) (let ((_let_15717 (forall ((BOUND_VARIABLE_332356 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332357 tptp.nat)) (= (ll_4253 BOUND_VARIABLE_332356 BOUND_VARIABLE_332357) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332357)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_332356) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_15718 (forall ((BOUND_VARIABLE_332343 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332344 tptp.set_nat) (BOUND_VARIABLE_332345 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332345)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_332343) BOUND_VARIABLE_332344))) (ll_4252 BOUND_VARIABLE_332343 BOUND_VARIABLE_332344 BOUND_VARIABLE_332345))))) (let ((_let_15719 (forall ((BOUND_VARIABLE_332307 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332308 tptp.nat) (BOUND_VARIABLE_332309 tptp.set_nat) (BOUND_VARIABLE_332310 tptp.nat)) (= (ll_4251 BOUND_VARIABLE_332307 BOUND_VARIABLE_332308 BOUND_VARIABLE_332309 BOUND_VARIABLE_332310) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332310)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4449 BOUND_VARIABLE_332307) BOUND_VARIABLE_332308) BOUND_VARIABLE_332309)) tptp.top_top_set_o))))))) (let ((_let_15720 (forall ((BOUND_VARIABLE_332295 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332296 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332296)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_332295) tptp.bot_bot_set_o))) (ll_4250 BOUND_VARIABLE_332295 BOUND_VARIABLE_332296))))) (let ((_let_15721 (forall ((BOUND_VARIABLE_332282 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332283 tptp.set_o) (BOUND_VARIABLE_332284 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332284)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_332282) BOUND_VARIABLE_332283))) (ll_4249 BOUND_VARIABLE_332282 BOUND_VARIABLE_332283 BOUND_VARIABLE_332284))))) (let ((_let_15722 (forall ((BOUND_VARIABLE_332246 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332247 Bool) (BOUND_VARIABLE_332248 tptp.set_nat) (BOUND_VARIABLE_332249 tptp.nat)) (= (ll_4248 BOUND_VARIABLE_332246 BOUND_VARIABLE_332247 BOUND_VARIABLE_332248 BOUND_VARIABLE_332249) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332249)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4448 BOUND_VARIABLE_332246) BOUND_VARIABLE_332247) BOUND_VARIABLE_332248)) tptp.top_top_set_o))))))) (let ((_let_15723 (forall ((BOUND_VARIABLE_332234 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332235 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332235)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332234) tptp.bot_bo3957492148770167129t_unit))) (ll_4247 BOUND_VARIABLE_332234 BOUND_VARIABLE_332235))))) (let ((_let_15724 (forall ((BOUND_VARIABLE_332221 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332222 tptp.set_Product_unit) (BOUND_VARIABLE_332223 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332223)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332221) BOUND_VARIABLE_332222))) (ll_4246 BOUND_VARIABLE_332221 BOUND_VARIABLE_332222 BOUND_VARIABLE_332223))))) (let ((_let_15725 (forall ((BOUND_VARIABLE_332185 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332186 tptp.product_unit) (BOUND_VARIABLE_332187 tptp.set_nat) (BOUND_VARIABLE_332188 tptp.nat)) (= (ll_4245 BOUND_VARIABLE_332185 BOUND_VARIABLE_332186 BOUND_VARIABLE_332187 BOUND_VARIABLE_332188) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332188)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4447 BOUND_VARIABLE_332185) BOUND_VARIABLE_332186) BOUND_VARIABLE_332187)) tptp.top_top_set_o))))))) (let ((_let_15726 (forall ((BOUND_VARIABLE_332172 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332173 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332174 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332174)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332172) BOUND_VARIABLE_332173))) (ll_4244 BOUND_VARIABLE_332172 BOUND_VARIABLE_332173 BOUND_VARIABLE_332174))))) (let ((_let_15727 (forall ((BOUND_VARIABLE_332159 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332160 tptp.set_o) (BOUND_VARIABLE_332161 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332161)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_332159) BOUND_VARIABLE_332160))) (ll_4243 BOUND_VARIABLE_332159 BOUND_VARIABLE_332160 BOUND_VARIABLE_332161))))) (let ((_let_15728 (forall ((BOUND_VARIABLE_332146 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332147 tptp.set_Product_unit) (BOUND_VARIABLE_332148 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332148)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332146) BOUND_VARIABLE_332147))) (ll_4242 BOUND_VARIABLE_332146 BOUND_VARIABLE_332147 BOUND_VARIABLE_332148))))) (let ((_let_15729 (forall ((BOUND_VARIABLE_332133 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332134 tptp.set_nat) (BOUND_VARIABLE_332135 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332135)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_332133) BOUND_VARIABLE_332134))) (ll_4241 BOUND_VARIABLE_332133 BOUND_VARIABLE_332134 BOUND_VARIABLE_332135))))) (let ((_let_15730 (forall ((BOUND_VARIABLE_332120 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332121 tptp.set_Product_unit) (BOUND_VARIABLE_332122 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332122)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_332120) BOUND_VARIABLE_332121))) (ll_4240 BOUND_VARIABLE_332120 BOUND_VARIABLE_332121 BOUND_VARIABLE_332122))))) (let ((_let_15731 (forall ((BOUND_VARIABLE_332107 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332108 tptp.set_nat) (BOUND_VARIABLE_332109 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332109)) (@ (@ tptp.image_1087905878993176368at_nat BOUND_VARIABLE_332107) BOUND_VARIABLE_332108))) (ll_4239 BOUND_VARIABLE_332107 BOUND_VARIABLE_332108 BOUND_VARIABLE_332109))))) (let ((_let_15732 (forall ((BOUND_VARIABLE_332094 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332095 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_332096 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332096)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332094) BOUND_VARIABLE_332095))) (ll_4238 BOUND_VARIABLE_332094 BOUND_VARIABLE_332095 BOUND_VARIABLE_332096))))) (let ((_let_15733 (forall ((BOUND_VARIABLE_332081 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_332082 tptp.set_o) (BOUND_VARIABLE_332083 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332083)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_332081) BOUND_VARIABLE_332082))) (ll_4237 BOUND_VARIABLE_332081 BOUND_VARIABLE_332082 BOUND_VARIABLE_332083))))) (let ((_let_15734 (forall ((BOUND_VARIABLE_332068 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_332069 tptp.set_Product_unit) (BOUND_VARIABLE_332070 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332070)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_332068) BOUND_VARIABLE_332069))) (ll_4236 BOUND_VARIABLE_332068 BOUND_VARIABLE_332069 BOUND_VARIABLE_332070))))) (let ((_let_15735 (forall ((BOUND_VARIABLE_332055 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_332056 tptp.set_nat) (BOUND_VARIABLE_332057 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332057)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_332055) BOUND_VARIABLE_332056))) (ll_4235 BOUND_VARIABLE_332055 BOUND_VARIABLE_332056 BOUND_VARIABLE_332057))))) (let ((_let_15736 (forall ((BOUND_VARIABLE_332043 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332044 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332044)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_332043) tptp.bot_bot_set_o))) (ll_4234 BOUND_VARIABLE_332043 BOUND_VARIABLE_332044))))) (let ((_let_15737 (forall ((BOUND_VARIABLE_332031 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_332032 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_332032)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_332031) tptp.bot_bo3957492148770167129t_unit))) (ll_4233 BOUND_VARIABLE_332031 BOUND_VARIABLE_332032))))) (let ((_let_15738 (forall ((BOUND_VARIABLE_332014 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_332015 tptp.nat)) (= (ll_4232 BOUND_VARIABLE_332014 BOUND_VARIABLE_332015) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_332015)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_332014) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_15739 (forall ((BOUND_VARIABLE_331997 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331998 tptp.nat)) (= (ll_4231 BOUND_VARIABLE_331997 BOUND_VARIABLE_331998) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331998)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_331997) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_15740 (forall ((BOUND_VARIABLE_331985 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_331986 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331986)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_331985) tptp.bot_bot_set_o))) (ll_4230 BOUND_VARIABLE_331985 BOUND_VARIABLE_331986))))) (let ((_let_15741 (forall ((BOUND_VARIABLE_331973 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331974 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331974)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_331973) tptp.bot_bo3957492148770167129t_unit))) (ll_4229 BOUND_VARIABLE_331973 BOUND_VARIABLE_331974))))) (let ((_let_15742 (forall ((BOUND_VARIABLE_331963 tptp.set_set_nat) (BOUND_VARIABLE_331964 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331964)) BOUND_VARIABLE_331963)) (ll_4228 BOUND_VARIABLE_331963 BOUND_VARIABLE_331964))))) (let ((_let_15743 (forall ((BOUND_VARIABLE_331932 tptp.set_nat) (BOUND_VARIABLE_331933 tptp.set_nat) (BOUND_VARIABLE_331934 tptp.nat)) (= (ll_4227 BOUND_VARIABLE_331932 BOUND_VARIABLE_331933 BOUND_VARIABLE_331934) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331934)) (@ (@ tptp.image_o_set_nat (@ (@ ll_4446 BOUND_VARIABLE_331932) BOUND_VARIABLE_331933)) tptp.top_top_set_o))))))) (let ((_let_15744 (forall ((BOUND_VARIABLE_331922 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_331923 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331923)) BOUND_VARIABLE_331922)) (ll_4226 BOUND_VARIABLE_331922 BOUND_VARIABLE_331923))))) (let ((_let_15745 (forall ((BOUND_VARIABLE_331891 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331892 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331893 tptp.produc3843707927480180839at_nat)) (= (ll_4225 BOUND_VARIABLE_331891 BOUND_VARIABLE_331892 BOUND_VARIABLE_331893) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331893)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4445 BOUND_VARIABLE_331891) BOUND_VARIABLE_331892)) tptp.top_top_set_o))))))) (let ((_let_15746 (forall ((BOUND_VARIABLE_331878 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_331879 tptp.set_nat) (BOUND_VARIABLE_331880 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331880)) (@ (@ tptp.image_1087905878993176368at_nat BOUND_VARIABLE_331878) BOUND_VARIABLE_331879))) (ll_4224 BOUND_VARIABLE_331878 BOUND_VARIABLE_331879 BOUND_VARIABLE_331880))))) (let ((_let_15747 (forall ((BOUND_VARIABLE_331865 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_331866 tptp.set_o) (BOUND_VARIABLE_331867 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331867)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_331865) BOUND_VARIABLE_331866))) (ll_4223 BOUND_VARIABLE_331865 BOUND_VARIABLE_331866 BOUND_VARIABLE_331867))))) (let ((_let_15748 (forall ((BOUND_VARIABLE_331852 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_331853 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_331854 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331854)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_331852) BOUND_VARIABLE_331853))) (ll_4222 BOUND_VARIABLE_331852 BOUND_VARIABLE_331853 BOUND_VARIABLE_331854))))) (let ((_let_15749 (forall ((BOUND_VARIABLE_331839 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_331840 tptp.set_int) (BOUND_VARIABLE_331841 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331841)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_331839) BOUND_VARIABLE_331840))) (ll_4221 BOUND_VARIABLE_331839 BOUND_VARIABLE_331840 BOUND_VARIABLE_331841))))) (let ((_let_15750 (forall ((BOUND_VARIABLE_331826 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331827 tptp.set_nat) (BOUND_VARIABLE_331828 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331828)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_331826) BOUND_VARIABLE_331827))) (ll_4220 BOUND_VARIABLE_331826 BOUND_VARIABLE_331827 BOUND_VARIABLE_331828))))) (let ((_let_15751 (forall ((BOUND_VARIABLE_331813 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_331814 tptp.set_o) (BOUND_VARIABLE_331815 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331815)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_331813) BOUND_VARIABLE_331814))) (ll_4219 BOUND_VARIABLE_331813 BOUND_VARIABLE_331814 BOUND_VARIABLE_331815))))) (let ((_let_15752 (forall ((BOUND_VARIABLE_331803 tptp.set_set_nat) (BOUND_VARIABLE_331804 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331804)) BOUND_VARIABLE_331803)) (ll_4218 BOUND_VARIABLE_331803 BOUND_VARIABLE_331804))))) (let ((_let_15753 (forall ((BOUND_VARIABLE_331772 tptp.set_nat) (BOUND_VARIABLE_331773 tptp.set_nat) (BOUND_VARIABLE_331774 tptp.nat)) (= (ll_4217 BOUND_VARIABLE_331772 BOUND_VARIABLE_331773 BOUND_VARIABLE_331774) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331774)) (@ (@ tptp.image_o_set_nat (@ (@ ll_4444 BOUND_VARIABLE_331772) BOUND_VARIABLE_331773)) tptp.top_top_set_o))))))) (let ((_let_15754 (forall ((BOUND_VARIABLE_331762 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_331763 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331763)) BOUND_VARIABLE_331762)) (ll_4216 BOUND_VARIABLE_331762 BOUND_VARIABLE_331763))))) (let ((_let_15755 (forall ((BOUND_VARIABLE_331731 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331732 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331733 tptp.produc3843707927480180839at_nat)) (= (ll_4215 BOUND_VARIABLE_331731 BOUND_VARIABLE_331732 BOUND_VARIABLE_331733) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331733)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4443 BOUND_VARIABLE_331731) BOUND_VARIABLE_331732)) tptp.top_top_set_o))))))) (let ((_let_15756 (forall ((BOUND_VARIABLE_331718 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_331719 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_331720 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331720)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_331718) BOUND_VARIABLE_331719))) (ll_4214 BOUND_VARIABLE_331718 BOUND_VARIABLE_331719 BOUND_VARIABLE_331720))))) (let ((_let_15757 (forall ((BOUND_VARIABLE_331705 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_331706 tptp.set_int) (BOUND_VARIABLE_331707 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331707)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_331705) BOUND_VARIABLE_331706))) (ll_4213 BOUND_VARIABLE_331705 BOUND_VARIABLE_331706 BOUND_VARIABLE_331707))))) (let ((_let_15758 (forall ((BOUND_VARIABLE_331692 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331693 tptp.set_nat) (BOUND_VARIABLE_331694 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331694)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_331692) BOUND_VARIABLE_331693))) (ll_4212 BOUND_VARIABLE_331692 BOUND_VARIABLE_331693 BOUND_VARIABLE_331694))))) (let ((_let_15759 (forall ((BOUND_VARIABLE_331679 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_331680 tptp.set_o) (BOUND_VARIABLE_331681 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331681)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_331679) BOUND_VARIABLE_331680))) (ll_4211 BOUND_VARIABLE_331679 BOUND_VARIABLE_331680 BOUND_VARIABLE_331681))))) (let ((_let_15760 (forall ((BOUND_VARIABLE_331669 tptp.set_set_nat) (BOUND_VARIABLE_331670 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331670)) BOUND_VARIABLE_331669)) (ll_4210 BOUND_VARIABLE_331669 BOUND_VARIABLE_331670))))) (let ((_let_15761 (forall ((BOUND_VARIABLE_331638 tptp.set_nat) (BOUND_VARIABLE_331639 tptp.set_nat) (BOUND_VARIABLE_331640 tptp.nat)) (= (ll_4209 BOUND_VARIABLE_331638 BOUND_VARIABLE_331639 BOUND_VARIABLE_331640) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331640)) (@ (@ tptp.image_o_set_nat (@ (@ ll_4442 BOUND_VARIABLE_331638) BOUND_VARIABLE_331639)) tptp.top_top_set_o))))))) (let ((_let_15762 (forall ((BOUND_VARIABLE_331628 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_331629 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331629)) BOUND_VARIABLE_331628)) (ll_4208 BOUND_VARIABLE_331628 BOUND_VARIABLE_331629))))) (let ((_let_15763 (forall ((BOUND_VARIABLE_331597 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331598 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331599 tptp.produc3843707927480180839at_nat)) (= (ll_4207 BOUND_VARIABLE_331597 BOUND_VARIABLE_331598 BOUND_VARIABLE_331599) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331599)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4441 BOUND_VARIABLE_331597) BOUND_VARIABLE_331598)) tptp.top_top_set_o))))))) (let ((_let_15764 (forall ((BOUND_VARIABLE_331584 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331585 tptp.set_Product_unit) (BOUND_VARIABLE_331586 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331586)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_331584) BOUND_VARIABLE_331585))) (ll_4206 BOUND_VARIABLE_331584 BOUND_VARIABLE_331585 BOUND_VARIABLE_331586))))) (let ((_let_15765 (forall ((BOUND_VARIABLE_331571 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331572 tptp.set_Product_unit) (BOUND_VARIABLE_331573 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331573)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_331571) BOUND_VARIABLE_331572))) (ll_4205 BOUND_VARIABLE_331571 BOUND_VARIABLE_331572 BOUND_VARIABLE_331573))))) (let ((_let_15766 (forall ((BOUND_VARIABLE_331558 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331559 tptp.set_Product_unit) (BOUND_VARIABLE_331560 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331560)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_331558) BOUND_VARIABLE_331559))) (ll_4204 BOUND_VARIABLE_331558 BOUND_VARIABLE_331559 BOUND_VARIABLE_331560))))) (let ((_let_15767 (forall ((BOUND_VARIABLE_331519 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331520 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331521 tptp.product_unit) (BOUND_VARIABLE_331522 tptp.nat)) (= (ll_4203 BOUND_VARIABLE_331519 BOUND_VARIABLE_331520 BOUND_VARIABLE_331521 BOUND_VARIABLE_331522) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331522)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4440 BOUND_VARIABLE_331519) BOUND_VARIABLE_331520) BOUND_VARIABLE_331521)) tptp.top_top_set_o))))))) (let ((_let_15768 (forall ((BOUND_VARIABLE_331509 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331510 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331511 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_331511) BOUND_VARIABLE_331509) BOUND_VARIABLE_331510) (ll_4202 BOUND_VARIABLE_331509 BOUND_VARIABLE_331510 BOUND_VARIABLE_331511))))) (let ((_let_15769 (forall ((BOUND_VARIABLE_331499 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331500 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331501 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_331501) BOUND_VARIABLE_331499) BOUND_VARIABLE_331500) (ll_4201 BOUND_VARIABLE_331499 BOUND_VARIABLE_331500 BOUND_VARIABLE_331501))))) (let ((_let_15770 (forall ((BOUND_VARIABLE_331489 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331490 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331491 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_331491) BOUND_VARIABLE_331489) BOUND_VARIABLE_331490) (ll_4200 BOUND_VARIABLE_331489 BOUND_VARIABLE_331490 BOUND_VARIABLE_331491))))) (let ((_let_15771 (forall ((BOUND_VARIABLE_331479 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331480 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331481 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_331481) BOUND_VARIABLE_331479) BOUND_VARIABLE_331480) (ll_4199 BOUND_VARIABLE_331479 BOUND_VARIABLE_331480 BOUND_VARIABLE_331481))))) (let ((_let_15772 (forall ((BOUND_VARIABLE_331469 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331470 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331471 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_331471) BOUND_VARIABLE_331469) BOUND_VARIABLE_331470) (ll_4198 BOUND_VARIABLE_331469 BOUND_VARIABLE_331470 BOUND_VARIABLE_331471))))) (let ((_let_15773 (forall ((BOUND_VARIABLE_331456 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_331457 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331458 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331458)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_331456) BOUND_VARIABLE_331457))) (ll_4197 BOUND_VARIABLE_331456 BOUND_VARIABLE_331457 BOUND_VARIABLE_331458))))) (let ((_let_15774 (forall ((BOUND_VARIABLE_331443 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_331444 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331445 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331445)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_331443) BOUND_VARIABLE_331444))) (ll_4196 BOUND_VARIABLE_331443 BOUND_VARIABLE_331444 BOUND_VARIABLE_331445))))) (let ((_let_15775 (forall ((BOUND_VARIABLE_331430 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_331431 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331432 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331432)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_331430) BOUND_VARIABLE_331431))) (ll_4195 BOUND_VARIABLE_331430 BOUND_VARIABLE_331431 BOUND_VARIABLE_331432))))) (let ((_let_15776 (forall ((BOUND_VARIABLE_331417 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_331418 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331419 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331419)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_331417) BOUND_VARIABLE_331418))) (ll_4194 BOUND_VARIABLE_331417 BOUND_VARIABLE_331418 BOUND_VARIABLE_331419))))) (let ((_let_15777 (forall ((BOUND_VARIABLE_331407 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331408 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331409 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_331409) BOUND_VARIABLE_331407) BOUND_VARIABLE_331408) (ll_4193 BOUND_VARIABLE_331407 BOUND_VARIABLE_331408 BOUND_VARIABLE_331409))))) (let ((_let_15778 (forall ((BOUND_VARIABLE_331394 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_331395 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331396 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331396)) (@ (@ tptp.image_7364710425340685989at_nat BOUND_VARIABLE_331394) BOUND_VARIABLE_331395))) (ll_4192 BOUND_VARIABLE_331394 BOUND_VARIABLE_331395 BOUND_VARIABLE_331396))))) (let ((_let_15779 (forall ((BOUND_VARIABLE_331381 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_331382 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_331383 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331383)) (@ (@ tptp.image_7364710425340685989at_nat BOUND_VARIABLE_331381) BOUND_VARIABLE_331382))) (ll_4191 BOUND_VARIABLE_331381 BOUND_VARIABLE_331382 BOUND_VARIABLE_331383))))) (let ((_let_15780 (forall ((BOUND_VARIABLE_331368 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_331369 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331370 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331370)) (@ (@ tptp.image_3876558564303283877at_nat BOUND_VARIABLE_331368) BOUND_VARIABLE_331369))) (ll_4190 BOUND_VARIABLE_331368 BOUND_VARIABLE_331369 BOUND_VARIABLE_331370))))) (let ((_let_15781 (forall ((BOUND_VARIABLE_331355 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_331356 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_331357 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_331357)) (@ (@ tptp.image_3876558564303283877at_nat BOUND_VARIABLE_331355) BOUND_VARIABLE_331356))) (ll_4189 BOUND_VARIABLE_331355 BOUND_VARIABLE_331356 BOUND_VARIABLE_331357))))) (let ((_let_15782 (forall ((BOUND_VARIABLE_331342 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331343 tptp.set_Product_unit) (BOUND_VARIABLE_331344 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331344)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_331342) BOUND_VARIABLE_331343))) (ll_4188 BOUND_VARIABLE_331342 BOUND_VARIABLE_331343 BOUND_VARIABLE_331344))))) (let ((_let_15783 (forall ((BOUND_VARIABLE_331329 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_331330 tptp.set_Product_unit) (BOUND_VARIABLE_331331 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_331331)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_331329) BOUND_VARIABLE_331330))) (ll_4187 BOUND_VARIABLE_331329 BOUND_VARIABLE_331330 BOUND_VARIABLE_331331))))) (let ((_let_15784 (forall ((BOUND_VARIABLE_331296 tptp.nat) (BOUND_VARIABLE_331297 tptp.set_nat) (BOUND_VARIABLE_331298 tptp.product_prod_nat_nat)) (= (ll_4186 BOUND_VARIABLE_331296 BOUND_VARIABLE_331297 BOUND_VARIABLE_331298) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331298)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4439 BOUND_VARIABLE_331296)) BOUND_VARIABLE_331297))))))) (let ((_let_15785 (forall ((BOUND_VARIABLE_331263 tptp.nat) (BOUND_VARIABLE_331264 tptp.set_nat) (BOUND_VARIABLE_331265 tptp.product_prod_nat_nat)) (= (ll_4185 BOUND_VARIABLE_331263 BOUND_VARIABLE_331264 BOUND_VARIABLE_331265) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331265)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4438 BOUND_VARIABLE_331263)) BOUND_VARIABLE_331264))))))) (let ((_let_15786 (forall ((BOUND_VARIABLE_331230 tptp.nat) (BOUND_VARIABLE_331231 tptp.set_nat) (BOUND_VARIABLE_331232 tptp.product_prod_nat_nat)) (= (ll_4184 BOUND_VARIABLE_331230 BOUND_VARIABLE_331231 BOUND_VARIABLE_331232) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331232)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4437 BOUND_VARIABLE_331230)) BOUND_VARIABLE_331231))))))) (let ((_let_15787 (forall ((BOUND_VARIABLE_331192 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331193 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331194 tptp.nat) (BOUND_VARIABLE_331195 tptp.product_prod_nat_nat)) (= (ll_4183 BOUND_VARIABLE_331192 BOUND_VARIABLE_331193 BOUND_VARIABLE_331194 BOUND_VARIABLE_331195) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331195)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4436 BOUND_VARIABLE_331194)) (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_331192 BOUND_VARIABLE_331194)) (@ BOUND_VARIABLE_331193 BOUND_VARIABLE_331194))))))))) (let ((_let_15788 (forall ((BOUND_VARIABLE_331158 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331159 tptp.nat) (BOUND_VARIABLE_331160 tptp.product_prod_nat_nat)) (= (ll_4182 BOUND_VARIABLE_331158 BOUND_VARIABLE_331159 BOUND_VARIABLE_331160) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331160)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4435 BOUND_VARIABLE_331159)) (@ BOUND_VARIABLE_331158 BOUND_VARIABLE_331159)))))))) (let ((_let_15789 (forall ((BOUND_VARIABLE_331124 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_331125 tptp.nat) (BOUND_VARIABLE_331126 tptp.product_prod_nat_nat)) (= (ll_4181 BOUND_VARIABLE_331124 BOUND_VARIABLE_331125 BOUND_VARIABLE_331126) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331126)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4434 BOUND_VARIABLE_331125)) (@ BOUND_VARIABLE_331124 BOUND_VARIABLE_331125)))))))) (let ((_let_15790 (forall ((BOUND_VARIABLE_331091 tptp.nat) (BOUND_VARIABLE_331092 tptp.set_nat) (BOUND_VARIABLE_331093 tptp.product_prod_nat_nat)) (= (ll_4180 BOUND_VARIABLE_331091 BOUND_VARIABLE_331092 BOUND_VARIABLE_331093) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331093)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4433 BOUND_VARIABLE_331091)) BOUND_VARIABLE_331092))))))) (let ((_let_15791 (forall ((BOUND_VARIABLE_331058 tptp.nat) (BOUND_VARIABLE_331059 tptp.set_nat) (BOUND_VARIABLE_331060 tptp.product_prod_nat_nat)) (= (ll_4179 BOUND_VARIABLE_331058 BOUND_VARIABLE_331059 BOUND_VARIABLE_331060) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331060)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4432 BOUND_VARIABLE_331058)) BOUND_VARIABLE_331059))))))) (let ((_let_15792 (forall ((BOUND_VARIABLE_331022 tptp.nat) (BOUND_VARIABLE_331023 tptp.set_nat) (BOUND_VARIABLE_331024 tptp.set_nat) (BOUND_VARIABLE_331025 tptp.product_prod_nat_nat)) (= (ll_4178 BOUND_VARIABLE_331022 BOUND_VARIABLE_331023 BOUND_VARIABLE_331024 BOUND_VARIABLE_331025) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_331025)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4431 BOUND_VARIABLE_331022)) (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_331023) BOUND_VARIABLE_331024)))))))) (let ((_let_15793 (forall ((BOUND_VARIABLE_330989 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330990 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330991 tptp.produc3843707927480180839at_nat)) (= (ll_4177 BOUND_VARIABLE_330989 BOUND_VARIABLE_330990 BOUND_VARIABLE_330991) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330991)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4430 BOUND_VARIABLE_330989)) BOUND_VARIABLE_330990))))))) (let ((_let_15794 (forall ((BOUND_VARIABLE_330954 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330955 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330956 tptp.produc3843707927480180839at_nat)) (= (ll_4176 BOUND_VARIABLE_330954 BOUND_VARIABLE_330955 BOUND_VARIABLE_330956) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330956)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4429 BOUND_VARIABLE_330954)) BOUND_VARIABLE_330955))))))) (let ((_let_15795 (forall ((BOUND_VARIABLE_330919 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330920 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330921 tptp.produc3843707927480180839at_nat)) (= (ll_4175 BOUND_VARIABLE_330919 BOUND_VARIABLE_330920 BOUND_VARIABLE_330921) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330921)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4428 BOUND_VARIABLE_330919)) BOUND_VARIABLE_330920))))))) (let ((_let_15796 (forall ((BOUND_VARIABLE_330886 tptp.nat) (BOUND_VARIABLE_330887 tptp.set_nat) (BOUND_VARIABLE_330888 tptp.product_prod_nat_nat)) (= (ll_4174 BOUND_VARIABLE_330886 BOUND_VARIABLE_330887 BOUND_VARIABLE_330888) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330888)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4427 BOUND_VARIABLE_330886)) BOUND_VARIABLE_330887))))))) (let ((_let_15797 (forall ((BOUND_VARIABLE_330853 tptp.nat) (BOUND_VARIABLE_330854 tptp.set_nat) (BOUND_VARIABLE_330855 tptp.product_prod_nat_nat)) (= (ll_4173 BOUND_VARIABLE_330853 BOUND_VARIABLE_330854 BOUND_VARIABLE_330855) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330855)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4426 BOUND_VARIABLE_330853)) BOUND_VARIABLE_330854))))))) (let ((_let_15798 (forall ((BOUND_VARIABLE_330820 tptp.nat) (BOUND_VARIABLE_330821 tptp.set_nat) (BOUND_VARIABLE_330822 tptp.product_prod_nat_nat)) (= (ll_4172 BOUND_VARIABLE_330820 BOUND_VARIABLE_330821 BOUND_VARIABLE_330822) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330822)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4425 BOUND_VARIABLE_330820)) BOUND_VARIABLE_330821))))))) (let ((_let_15799 (forall ((BOUND_VARIABLE_330810 tptp.set_nat) (BOUND_VARIABLE_330811 tptp.set_nat) (BOUND_VARIABLE_330812 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_330812) BOUND_VARIABLE_330810) BOUND_VARIABLE_330811) (ll_4171 BOUND_VARIABLE_330810 BOUND_VARIABLE_330811 BOUND_VARIABLE_330812))))) (let ((_let_15800 (forall ((BOUND_VARIABLE_330772 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330773 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330774 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330775 tptp.produc3843707927480180839at_nat)) (= (ll_4170 BOUND_VARIABLE_330772 BOUND_VARIABLE_330773 BOUND_VARIABLE_330774 BOUND_VARIABLE_330775) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330775)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4424 BOUND_VARIABLE_330774)) (@ (@ tptp.sup_su3642409539654194069at_nat (@ BOUND_VARIABLE_330772 BOUND_VARIABLE_330774)) (@ BOUND_VARIABLE_330773 BOUND_VARIABLE_330774))))))))) (let ((_let_15801 (forall ((BOUND_VARIABLE_330735 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330736 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330737 tptp.produc3843707927480180839at_nat)) (= (ll_4169 BOUND_VARIABLE_330735 BOUND_VARIABLE_330736 BOUND_VARIABLE_330737) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330737)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4423 BOUND_VARIABLE_330735)) BOUND_VARIABLE_330736))))))) (let ((_let_15802 (forall ((BOUND_VARIABLE_330698 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330699 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330700 tptp.produc3843707927480180839at_nat)) (= (ll_4168 BOUND_VARIABLE_330698 BOUND_VARIABLE_330699 BOUND_VARIABLE_330700) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330700)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4422 BOUND_VARIABLE_330698)) BOUND_VARIABLE_330699))))))) (let ((_let_15803 (forall ((BOUND_VARIABLE_330664 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330665 tptp.nat) (BOUND_VARIABLE_330666 tptp.product_prod_nat_nat)) (= (ll_4167 BOUND_VARIABLE_330664 BOUND_VARIABLE_330665 BOUND_VARIABLE_330666) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330666)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4421 BOUND_VARIABLE_330665)) (@ BOUND_VARIABLE_330664 BOUND_VARIABLE_330665)))))))) (let ((_let_15804 (forall ((BOUND_VARIABLE_330630 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330631 tptp.nat) (BOUND_VARIABLE_330632 tptp.product_prod_nat_nat)) (= (ll_4166 BOUND_VARIABLE_330630 BOUND_VARIABLE_330631 BOUND_VARIABLE_330632) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330632)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4420 BOUND_VARIABLE_330631)) (@ BOUND_VARIABLE_330630 BOUND_VARIABLE_330631)))))))) (let ((_let_15805 (forall ((BOUND_VARIABLE_330565 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330566 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330567 tptp.nat) (BOUND_VARIABLE_330568 tptp.product_prod_nat_nat)) (= (ll_4165 BOUND_VARIABLE_330565 BOUND_VARIABLE_330566 BOUND_VARIABLE_330567 BOUND_VARIABLE_330568) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330568)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4419 BOUND_VARIABLE_330567)) (@ tptp.collect_nat (@ (@ (@ ll_4418 BOUND_VARIABLE_330565) BOUND_VARIABLE_330566) BOUND_VARIABLE_330567))))))))) (let ((_let_15806 (forall ((BOUND_VARIABLE_330531 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330532 tptp.nat) (BOUND_VARIABLE_330533 tptp.product_prod_nat_nat)) (= (ll_4164 BOUND_VARIABLE_330531 BOUND_VARIABLE_330532 BOUND_VARIABLE_330533) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330533)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4417 BOUND_VARIABLE_330532)) (@ BOUND_VARIABLE_330531 BOUND_VARIABLE_330532)))))))) (let ((_let_15807 (forall ((BOUND_VARIABLE_330497 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330498 tptp.nat) (BOUND_VARIABLE_330499 tptp.product_prod_nat_nat)) (= (ll_4163 BOUND_VARIABLE_330497 BOUND_VARIABLE_330498 BOUND_VARIABLE_330499) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330499)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4416 BOUND_VARIABLE_330498)) (@ BOUND_VARIABLE_330497 BOUND_VARIABLE_330498)))))))) (let ((_let_15808 (forall ((BOUND_VARIABLE_330463 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330464 tptp.nat) (BOUND_VARIABLE_330465 tptp.product_prod_nat_nat)) (= (ll_4162 BOUND_VARIABLE_330463 BOUND_VARIABLE_330464 BOUND_VARIABLE_330465) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330465)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4415 BOUND_VARIABLE_330464)) (@ BOUND_VARIABLE_330463 BOUND_VARIABLE_330464)))))))) (let ((_let_15809 (forall ((BOUND_VARIABLE_330429 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330430 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330431 tptp.produc3843707927480180839at_nat)) (= (ll_4161 BOUND_VARIABLE_330429 BOUND_VARIABLE_330430 BOUND_VARIABLE_330431) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330431)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4414 BOUND_VARIABLE_330430)) (@ BOUND_VARIABLE_330429 BOUND_VARIABLE_330430)))))))) (let ((_let_15810 (forall ((BOUND_VARIABLE_330392 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330393 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330394 tptp.produc3843707927480180839at_nat)) (= (ll_4160 BOUND_VARIABLE_330392 BOUND_VARIABLE_330393 BOUND_VARIABLE_330394) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330394)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4413 BOUND_VARIABLE_330392)) BOUND_VARIABLE_330393))))))) (let ((_let_15811 (forall ((BOUND_VARIABLE_330355 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_330356 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_330357 tptp.produc3843707927480180839at_nat)) (= (ll_4159 BOUND_VARIABLE_330355 BOUND_VARIABLE_330356 BOUND_VARIABLE_330357) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330357)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4412 BOUND_VARIABLE_330355)) BOUND_VARIABLE_330356))))))) (let ((_let_15812 (forall ((BOUND_VARIABLE_330321 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330322 tptp.nat) (BOUND_VARIABLE_330323 tptp.product_prod_nat_nat)) (= (ll_4158 BOUND_VARIABLE_330321 BOUND_VARIABLE_330322 BOUND_VARIABLE_330323) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330323)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4411 BOUND_VARIABLE_330322)) (@ BOUND_VARIABLE_330321 BOUND_VARIABLE_330322)))))))) (let ((_let_15813 (forall ((BOUND_VARIABLE_330287 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330288 tptp.nat) (BOUND_VARIABLE_330289 tptp.product_prod_nat_nat)) (= (ll_4157 BOUND_VARIABLE_330287 BOUND_VARIABLE_330288 BOUND_VARIABLE_330289) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330289)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4410 BOUND_VARIABLE_330288)) (@ BOUND_VARIABLE_330287 BOUND_VARIABLE_330288)))))))) (let ((_let_15814 (forall ((BOUND_VARIABLE_330253 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330254 tptp.nat) (BOUND_VARIABLE_330255 tptp.product_prod_nat_nat)) (= (ll_4156 BOUND_VARIABLE_330253 BOUND_VARIABLE_330254 BOUND_VARIABLE_330255) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_330255)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4409 BOUND_VARIABLE_330254)) (@ BOUND_VARIABLE_330253 BOUND_VARIABLE_330254)))))))) (let ((_let_15815 (forall ((BOUND_VARIABLE_330243 tptp.set_nat) (BOUND_VARIABLE_330244 tptp.set_nat) (BOUND_VARIABLE_330245 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_330245) BOUND_VARIABLE_330243) BOUND_VARIABLE_330244) (ll_4155 BOUND_VARIABLE_330243 BOUND_VARIABLE_330244 BOUND_VARIABLE_330245))))) (let ((_let_15816 (forall ((BOUND_VARIABLE_330230 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_330231 tptp.set_Product_unit) (BOUND_VARIABLE_330232 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330232)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_330230) BOUND_VARIABLE_330231))) (ll_4154 BOUND_VARIABLE_330230 BOUND_VARIABLE_330231 BOUND_VARIABLE_330232))))) (let ((_let_15817 (forall ((BOUND_VARIABLE_330217 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_330218 tptp.set_nat) (BOUND_VARIABLE_330219 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_330219)) (@ (@ tptp.image_1087905878993176368at_nat BOUND_VARIABLE_330217) BOUND_VARIABLE_330218))) (ll_4153 BOUND_VARIABLE_330217 BOUND_VARIABLE_330218 BOUND_VARIABLE_330219))))) (let ((_let_15818 (forall ((BOUND_VARIABLE_330204 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_330205 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_330206 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330206)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_330204) BOUND_VARIABLE_330205))) (ll_4152 BOUND_VARIABLE_330204 BOUND_VARIABLE_330205 BOUND_VARIABLE_330206))))) (let ((_let_15819 (forall ((BOUND_VARIABLE_330191 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_330192 tptp.set_o) (BOUND_VARIABLE_330193 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330193)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_330191) BOUND_VARIABLE_330192))) (ll_4151 BOUND_VARIABLE_330191 BOUND_VARIABLE_330192 BOUND_VARIABLE_330193))))) (let ((_let_15820 (forall ((BOUND_VARIABLE_330178 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_330179 tptp.set_Product_unit) (BOUND_VARIABLE_330180 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330180)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_330178) BOUND_VARIABLE_330179))) (ll_4150 BOUND_VARIABLE_330178 BOUND_VARIABLE_330179 BOUND_VARIABLE_330180))))) (let ((_let_15821 (forall ((BOUND_VARIABLE_330165 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330166 tptp.set_nat) (BOUND_VARIABLE_330167 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330167)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_330165) BOUND_VARIABLE_330166))) (ll_4149 BOUND_VARIABLE_330165 BOUND_VARIABLE_330166 BOUND_VARIABLE_330167))))) (let ((_let_15822 (forall ((BOUND_VARIABLE_330129 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330130 tptp.nat) (BOUND_VARIABLE_330131 tptp.set_nat) (BOUND_VARIABLE_330132 tptp.nat)) (= (ll_4148 BOUND_VARIABLE_330129 BOUND_VARIABLE_330130 BOUND_VARIABLE_330131 BOUND_VARIABLE_330132) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330132)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4408 BOUND_VARIABLE_330129) BOUND_VARIABLE_330130) BOUND_VARIABLE_330131)) tptp.top_top_set_o))))))) (let ((_let_15823 (forall ((BOUND_VARIABLE_330092 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330093 tptp.nat) (BOUND_VARIABLE_330094 tptp.set_nat) (BOUND_VARIABLE_330095 tptp.nat)) (= (ll_4147 BOUND_VARIABLE_330092 BOUND_VARIABLE_330093 BOUND_VARIABLE_330094 BOUND_VARIABLE_330095) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330095)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4407 BOUND_VARIABLE_330092) BOUND_VARIABLE_330093) BOUND_VARIABLE_330094)) tptp.top_top_set_o))))))) (let ((_let_15824 (forall ((BOUND_VARIABLE_330079 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_330080 tptp.set_nat) (BOUND_VARIABLE_330081 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330081)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_330079) BOUND_VARIABLE_330080))) (ll_4146 BOUND_VARIABLE_330079 BOUND_VARIABLE_330080 BOUND_VARIABLE_330081))))) (let ((_let_15825 (forall ((BOUND_VARIABLE_330043 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_330044 Bool) (BOUND_VARIABLE_330045 tptp.set_nat) (BOUND_VARIABLE_330046 tptp.nat)) (= (ll_4145 BOUND_VARIABLE_330043 BOUND_VARIABLE_330044 BOUND_VARIABLE_330045 BOUND_VARIABLE_330046) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330046)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4406 BOUND_VARIABLE_330043) BOUND_VARIABLE_330044) BOUND_VARIABLE_330045)) tptp.top_top_set_o))))))) (let ((_let_15826 (forall ((BOUND_VARIABLE_330006 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_330007 Bool) (BOUND_VARIABLE_330008 tptp.set_nat) (BOUND_VARIABLE_330009 tptp.nat)) (= (ll_4144 BOUND_VARIABLE_330006 BOUND_VARIABLE_330007 BOUND_VARIABLE_330008 BOUND_VARIABLE_330009) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_330009)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4405 BOUND_VARIABLE_330006) BOUND_VARIABLE_330007) BOUND_VARIABLE_330008)) tptp.top_top_set_o))))))) (let ((_let_15827 (forall ((BOUND_VARIABLE_329993 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_329994 tptp.set_o) (BOUND_VARIABLE_329995 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329995)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_329993) BOUND_VARIABLE_329994))) (ll_4143 BOUND_VARIABLE_329993 BOUND_VARIABLE_329994 BOUND_VARIABLE_329995))))) (let ((_let_15828 (forall ((BOUND_VARIABLE_329957 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_329958 tptp.product_unit) (BOUND_VARIABLE_329959 tptp.set_nat) (BOUND_VARIABLE_329960 tptp.nat)) (= (ll_4142 BOUND_VARIABLE_329957 BOUND_VARIABLE_329958 BOUND_VARIABLE_329959 BOUND_VARIABLE_329960) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329960)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4404 BOUND_VARIABLE_329957) BOUND_VARIABLE_329958) BOUND_VARIABLE_329959)) tptp.top_top_set_o))))))) (let ((_let_15829 (forall ((BOUND_VARIABLE_329920 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_329921 tptp.product_unit) (BOUND_VARIABLE_329922 tptp.set_nat) (BOUND_VARIABLE_329923 tptp.nat)) (= (ll_4141 BOUND_VARIABLE_329920 BOUND_VARIABLE_329921 BOUND_VARIABLE_329922 BOUND_VARIABLE_329923) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329923)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4403 BOUND_VARIABLE_329920) BOUND_VARIABLE_329921) BOUND_VARIABLE_329922)) tptp.top_top_set_o))))))) (let ((_let_15830 (forall ((BOUND_VARIABLE_329907 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_329908 tptp.set_Product_unit) (BOUND_VARIABLE_329909 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329909)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_329907) BOUND_VARIABLE_329908))) (ll_4140 BOUND_VARIABLE_329907 BOUND_VARIABLE_329908 BOUND_VARIABLE_329909))))) (let ((_let_15831 (forall ((BOUND_VARIABLE_329871 tptp.set_nat) (BOUND_VARIABLE_329872 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329873 tptp.nat) (BOUND_VARIABLE_329874 tptp.nat)) (= (ll_4139 BOUND_VARIABLE_329871 BOUND_VARIABLE_329872 BOUND_VARIABLE_329873 BOUND_VARIABLE_329874) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329874)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4402 BOUND_VARIABLE_329871) BOUND_VARIABLE_329872) BOUND_VARIABLE_329873)) tptp.top_top_set_o))))))) (let ((_let_15832 (forall ((BOUND_VARIABLE_329834 tptp.set_nat) (BOUND_VARIABLE_329835 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329836 tptp.nat) (BOUND_VARIABLE_329837 tptp.nat)) (= (ll_4138 BOUND_VARIABLE_329834 BOUND_VARIABLE_329835 BOUND_VARIABLE_329836 BOUND_VARIABLE_329837) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329837)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4401 BOUND_VARIABLE_329834) BOUND_VARIABLE_329835) BOUND_VARIABLE_329836)) tptp.top_top_set_o))))))) (let ((_let_15833 (forall ((BOUND_VARIABLE_329821 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329822 tptp.set_nat) (BOUND_VARIABLE_329823 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329823)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_329821) BOUND_VARIABLE_329822))) (ll_4137 BOUND_VARIABLE_329821 BOUND_VARIABLE_329822 BOUND_VARIABLE_329823))))) (let ((_let_15834 (forall ((BOUND_VARIABLE_329785 tptp.set_nat) (BOUND_VARIABLE_329786 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_329787 Bool) (BOUND_VARIABLE_329788 tptp.nat)) (= (ll_4136 BOUND_VARIABLE_329785 BOUND_VARIABLE_329786 BOUND_VARIABLE_329787 BOUND_VARIABLE_329788) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329788)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4400 BOUND_VARIABLE_329785) BOUND_VARIABLE_329786) BOUND_VARIABLE_329787)) tptp.top_top_set_o))))))) (let ((_let_15835 (forall ((BOUND_VARIABLE_329748 tptp.set_nat) (BOUND_VARIABLE_329749 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_329750 Bool) (BOUND_VARIABLE_329751 tptp.nat)) (= (ll_4135 BOUND_VARIABLE_329748 BOUND_VARIABLE_329749 BOUND_VARIABLE_329750 BOUND_VARIABLE_329751) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329751)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4399 BOUND_VARIABLE_329748) BOUND_VARIABLE_329749) BOUND_VARIABLE_329750)) tptp.top_top_set_o))))))) (let ((_let_15836 (forall ((BOUND_VARIABLE_329735 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_329736 tptp.set_o) (BOUND_VARIABLE_329737 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329737)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_329735) BOUND_VARIABLE_329736))) (ll_4134 BOUND_VARIABLE_329735 BOUND_VARIABLE_329736 BOUND_VARIABLE_329737))))) (let ((_let_15837 (forall ((BOUND_VARIABLE_329699 tptp.set_nat) (BOUND_VARIABLE_329700 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_329701 tptp.product_unit) (BOUND_VARIABLE_329702 tptp.nat)) (= (ll_4133 BOUND_VARIABLE_329699 BOUND_VARIABLE_329700 BOUND_VARIABLE_329701 BOUND_VARIABLE_329702) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329702)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4398 BOUND_VARIABLE_329699) BOUND_VARIABLE_329700) BOUND_VARIABLE_329701)) tptp.top_top_set_o))))))) (let ((_let_15838 (forall ((BOUND_VARIABLE_329662 tptp.set_nat) (BOUND_VARIABLE_329663 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_329664 tptp.product_unit) (BOUND_VARIABLE_329665 tptp.nat)) (= (ll_4132 BOUND_VARIABLE_329662 BOUND_VARIABLE_329663 BOUND_VARIABLE_329664 BOUND_VARIABLE_329665) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329665)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_4397 BOUND_VARIABLE_329662) BOUND_VARIABLE_329663) BOUND_VARIABLE_329664)) tptp.top_top_set_o))))))) (let ((_let_15839 (forall ((BOUND_VARIABLE_329649 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_329650 tptp.set_Product_unit) (BOUND_VARIABLE_329651 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329651)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_329649) BOUND_VARIABLE_329650))) (ll_4131 BOUND_VARIABLE_329649 BOUND_VARIABLE_329650 BOUND_VARIABLE_329651))))) (let ((_let_15840 (forall ((BOUND_VARIABLE_329639 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329640 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329641 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_329641) BOUND_VARIABLE_329639) BOUND_VARIABLE_329640) (ll_4130 BOUND_VARIABLE_329639 BOUND_VARIABLE_329640 BOUND_VARIABLE_329641))))) (let ((_let_15841 (forall ((BOUND_VARIABLE_329626 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_329627 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329628 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329628)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_329626) BOUND_VARIABLE_329627))) (ll_4129 BOUND_VARIABLE_329626 BOUND_VARIABLE_329627 BOUND_VARIABLE_329628))))) (let ((_let_15842 (forall ((BOUND_VARIABLE_329613 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_329614 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329615 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329615)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_329613) BOUND_VARIABLE_329614))) (ll_4128 BOUND_VARIABLE_329613 BOUND_VARIABLE_329614 BOUND_VARIABLE_329615))))) (let ((_let_15843 (forall ((BOUND_VARIABLE_329600 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_329601 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329602 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329602)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_329600) BOUND_VARIABLE_329601))) (ll_4127 BOUND_VARIABLE_329600 BOUND_VARIABLE_329601 BOUND_VARIABLE_329602))))) (let ((_let_15844 (forall ((BOUND_VARIABLE_329587 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_329588 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329589 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_329589)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_329587) BOUND_VARIABLE_329588))) (ll_4126 BOUND_VARIABLE_329587 BOUND_VARIABLE_329588 BOUND_VARIABLE_329589))))) (let ((_let_15845 (forall ((BOUND_VARIABLE_329577 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329578 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329579 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_329579) BOUND_VARIABLE_329577) BOUND_VARIABLE_329578) (ll_4125 BOUND_VARIABLE_329577 BOUND_VARIABLE_329578 BOUND_VARIABLE_329579))))) (let ((_let_15846 (forall ((BOUND_VARIABLE_329564 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_329565 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329566 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_329566)) (@ (@ tptp.image_7364710425340685989at_nat BOUND_VARIABLE_329564) BOUND_VARIABLE_329565))) (ll_4124 BOUND_VARIABLE_329564 BOUND_VARIABLE_329565 BOUND_VARIABLE_329566))))) (let ((_let_15847 (forall ((BOUND_VARIABLE_329551 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_329552 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329553 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_329553)) (@ (@ tptp.image_7364710425340685989at_nat BOUND_VARIABLE_329551) BOUND_VARIABLE_329552))) (ll_4123 BOUND_VARIABLE_329551 BOUND_VARIABLE_329552 BOUND_VARIABLE_329553))))) (let ((_let_15848 (forall ((BOUND_VARIABLE_329538 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_329539 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329540 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_329540)) (@ (@ tptp.image_3876558564303283877at_nat BOUND_VARIABLE_329538) BOUND_VARIABLE_329539))) (ll_4122 BOUND_VARIABLE_329538 BOUND_VARIABLE_329539 BOUND_VARIABLE_329540))))) (let ((_let_15849 (forall ((BOUND_VARIABLE_329525 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_329526 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_329527 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_329527)) (@ (@ tptp.image_3876558564303283877at_nat BOUND_VARIABLE_329525) BOUND_VARIABLE_329526))) (ll_4121 BOUND_VARIABLE_329525 BOUND_VARIABLE_329526 BOUND_VARIABLE_329527))))) (let ((_let_15850 (forall ((BOUND_VARIABLE_329517 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_329518 tptp.product_prod_int_int)) (= (not (@ BOUND_VARIABLE_329517 BOUND_VARIABLE_329518)) (ll_4120 BOUND_VARIABLE_329517 BOUND_VARIABLE_329518))))) (let ((_let_15851 (forall ((BOUND_VARIABLE_329509 (-> tptp.nat Bool)) (BOUND_VARIABLE_329510 tptp.nat)) (= (not (@ BOUND_VARIABLE_329509 BOUND_VARIABLE_329510)) (ll_4119 BOUND_VARIABLE_329509 BOUND_VARIABLE_329510))))) (let ((_let_15852 (forall ((BOUND_VARIABLE_329501 (-> tptp.nat Bool)) (BOUND_VARIABLE_329502 tptp.nat)) (= (not (@ BOUND_VARIABLE_329501 BOUND_VARIABLE_329502)) (ll_4118 BOUND_VARIABLE_329501 BOUND_VARIABLE_329502))))) (let ((_let_15853 (forall ((BOUND_VARIABLE_329493 (-> tptp.int Bool)) (BOUND_VARIABLE_329494 tptp.int)) (= (not (@ BOUND_VARIABLE_329493 BOUND_VARIABLE_329494)) (ll_4117 BOUND_VARIABLE_329493 BOUND_VARIABLE_329494))))) (let ((_let_15854 (forall ((BOUND_VARIABLE_329459 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329460 tptp.nat) (BOUND_VARIABLE_329461 tptp.product_prod_nat_nat)) (= (ll_4116 BOUND_VARIABLE_329459 BOUND_VARIABLE_329460 BOUND_VARIABLE_329461) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329461)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4396 BOUND_VARIABLE_329460)) (@ BOUND_VARIABLE_329459 BOUND_VARIABLE_329460)))))))) (let ((_let_15855 (forall ((BOUND_VARIABLE_329423 tptp.int) (BOUND_VARIABLE_329424 tptp.int) (BOUND_VARIABLE_329425 tptp.set_int) (BOUND_VARIABLE_329426 tptp.product_prod_int_int)) (= (ll_4115 BOUND_VARIABLE_329423 BOUND_VARIABLE_329424 BOUND_VARIABLE_329425 BOUND_VARIABLE_329426) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_329426)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4395 BOUND_VARIABLE_329423)) (@ (@ tptp.insert_int BOUND_VARIABLE_329424) BOUND_VARIABLE_329425)))))))) (let ((_let_15856 (forall ((BOUND_VARIABLE_329387 tptp.int) (BOUND_VARIABLE_329388 tptp.int) (BOUND_VARIABLE_329389 tptp.set_int) (BOUND_VARIABLE_329390 tptp.product_prod_int_int)) (= (ll_4114 BOUND_VARIABLE_329387 BOUND_VARIABLE_329388 BOUND_VARIABLE_329389 BOUND_VARIABLE_329390) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_329390)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4394 BOUND_VARIABLE_329387)) (@ (@ tptp.insert_int BOUND_VARIABLE_329388) BOUND_VARIABLE_329389)))))))) (let ((_let_15857 (forall ((BOUND_VARIABLE_329354 tptp.int) (BOUND_VARIABLE_329355 tptp.set_int) (BOUND_VARIABLE_329356 tptp.product_prod_int_int)) (= (ll_4113 BOUND_VARIABLE_329354 BOUND_VARIABLE_329355 BOUND_VARIABLE_329356) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_329356)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4393 BOUND_VARIABLE_329354)) BOUND_VARIABLE_329355))))))) (let ((_let_15858 (forall ((BOUND_VARIABLE_329346 tptp.set_nat) (BOUND_VARIABLE_329347 tptp.nat)) (= (@ (@ tptp.member_nat BOUND_VARIABLE_329347) BOUND_VARIABLE_329346) (ll_4112 BOUND_VARIABLE_329346 BOUND_VARIABLE_329347))))) (let ((_let_15859 (forall ((BOUND_VARIABLE_329338 tptp.set_int) (BOUND_VARIABLE_329339 tptp.int)) (= (@ (@ tptp.member_int BOUND_VARIABLE_329339) BOUND_VARIABLE_329338) (ll_4111 BOUND_VARIABLE_329338 BOUND_VARIABLE_329339))))) (let ((_let_15860 (forall ((BOUND_VARIABLE_329330 tptp.set_o) (BOUND_VARIABLE_329331 Bool)) (= (@ (@ tptp.member_o BOUND_VARIABLE_329331) BOUND_VARIABLE_329330) (ll_4110 BOUND_VARIABLE_329330 BOUND_VARIABLE_329331))))) (let ((_let_15861 (forall ((BOUND_VARIABLE_329322 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329323 tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329323) BOUND_VARIABLE_329322) (ll_4109 BOUND_VARIABLE_329322 BOUND_VARIABLE_329323))))) (let ((_let_15862 (forall ((BOUND_VARIABLE_329314 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329315 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_329315) BOUND_VARIABLE_329314) (ll_4108 BOUND_VARIABLE_329314 BOUND_VARIABLE_329315))))) (let ((_let_15863 (forall ((BOUND_VARIABLE_329306 tptp.set_nat) (BOUND_VARIABLE_329307 tptp.nat)) (= (@ (@ tptp.member_nat BOUND_VARIABLE_329307) BOUND_VARIABLE_329306) (ll_4107 BOUND_VARIABLE_329306 BOUND_VARIABLE_329307))))) (let ((_let_15864 (forall ((BOUND_VARIABLE_329298 tptp.set_int) (BOUND_VARIABLE_329299 tptp.int)) (= (@ (@ tptp.member_int BOUND_VARIABLE_329299) BOUND_VARIABLE_329298) (ll_4106 BOUND_VARIABLE_329298 BOUND_VARIABLE_329299))))) (let ((_let_15865 (forall ((BOUND_VARIABLE_329290 tptp.set_o) (BOUND_VARIABLE_329291 Bool)) (= (@ (@ tptp.member_o BOUND_VARIABLE_329291) BOUND_VARIABLE_329290) (ll_4105 BOUND_VARIABLE_329290 BOUND_VARIABLE_329291))))) (let ((_let_15866 (forall ((BOUND_VARIABLE_329282 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329283 tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329283) BOUND_VARIABLE_329282) (ll_4104 BOUND_VARIABLE_329282 BOUND_VARIABLE_329283))))) (let ((_let_15867 (forall ((BOUND_VARIABLE_329274 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329275 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_329275) BOUND_VARIABLE_329274) (ll_4103 BOUND_VARIABLE_329274 BOUND_VARIABLE_329275))))) (let ((_let_15868 (forall ((BOUND_VARIABLE_329263 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_329264 tptp.int) (BOUND_VARIABLE_329265 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_329264) BOUND_VARIABLE_329265)) BOUND_VARIABLE_329263) (ll_4102 BOUND_VARIABLE_329263 BOUND_VARIABLE_329264 BOUND_VARIABLE_329265))))) (let ((_let_15869 (forall ((BOUND_VARIABLE_329252 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329253 tptp.nat) (BOUND_VARIABLE_329254 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_329253) BOUND_VARIABLE_329254)) BOUND_VARIABLE_329252) (ll_4101 BOUND_VARIABLE_329252 BOUND_VARIABLE_329253 BOUND_VARIABLE_329254))))) (let ((_let_15870 (forall ((BOUND_VARIABLE_329241 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329242 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329243 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_329242) BOUND_VARIABLE_329243)) BOUND_VARIABLE_329241) (ll_4100 BOUND_VARIABLE_329241 BOUND_VARIABLE_329242 BOUND_VARIABLE_329243))))) (let ((_let_15871 (forall ((BOUND_VARIABLE_329230 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_329231 tptp.int) (BOUND_VARIABLE_329232 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_329231) BOUND_VARIABLE_329232)) BOUND_VARIABLE_329230) (ll_4099 BOUND_VARIABLE_329230 BOUND_VARIABLE_329231 BOUND_VARIABLE_329232))))) (let ((_let_15872 (forall ((BOUND_VARIABLE_329219 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329220 tptp.nat) (BOUND_VARIABLE_329221 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_329220) BOUND_VARIABLE_329221)) BOUND_VARIABLE_329219) (ll_4098 BOUND_VARIABLE_329219 BOUND_VARIABLE_329220 BOUND_VARIABLE_329221))))) (let ((_let_15873 (forall ((BOUND_VARIABLE_329208 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_329209 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_329210 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_329209) BOUND_VARIABLE_329210)) BOUND_VARIABLE_329208) (ll_4097 BOUND_VARIABLE_329208 BOUND_VARIABLE_329209 BOUND_VARIABLE_329210))))) (let ((_let_15874 (forall ((BOUND_VARIABLE_329170 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329171 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329172 tptp.nat) (BOUND_VARIABLE_329173 tptp.product_prod_nat_nat)) (= (ll_4096 BOUND_VARIABLE_329170 BOUND_VARIABLE_329171 BOUND_VARIABLE_329172 BOUND_VARIABLE_329173) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329173)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4392 BOUND_VARIABLE_329172)) (@ (@ tptp.minus_minus_set_nat (@ BOUND_VARIABLE_329170 BOUND_VARIABLE_329172)) (@ BOUND_VARIABLE_329171 BOUND_VARIABLE_329172))))))))) (let ((_let_15875 (forall ((BOUND_VARIABLE_329136 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329137 tptp.nat) (BOUND_VARIABLE_329138 tptp.product_prod_nat_nat)) (= (ll_4095 BOUND_VARIABLE_329136 BOUND_VARIABLE_329137 BOUND_VARIABLE_329138) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329138)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4391 BOUND_VARIABLE_329137)) (@ BOUND_VARIABLE_329136 BOUND_VARIABLE_329137)))))))) (let ((_let_15876 (forall ((BOUND_VARIABLE_329102 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_329103 tptp.nat) (BOUND_VARIABLE_329104 tptp.product_prod_nat_nat)) (= (ll_4094 BOUND_VARIABLE_329102 BOUND_VARIABLE_329103 BOUND_VARIABLE_329104) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329104)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4390 BOUND_VARIABLE_329103)) (@ BOUND_VARIABLE_329102 BOUND_VARIABLE_329103)))))))) (let ((_let_15877 (forall ((BOUND_VARIABLE_329069 tptp.nat) (BOUND_VARIABLE_329070 tptp.set_nat) (BOUND_VARIABLE_329071 tptp.product_prod_nat_nat)) (= (ll_4093 BOUND_VARIABLE_329069 BOUND_VARIABLE_329070 BOUND_VARIABLE_329071) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329071)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4389 BOUND_VARIABLE_329069)) BOUND_VARIABLE_329070))))))) (let ((_let_15878 (forall ((BOUND_VARIABLE_329036 tptp.nat) (BOUND_VARIABLE_329037 tptp.set_nat) (BOUND_VARIABLE_329038 tptp.product_prod_nat_nat)) (= (ll_4092 BOUND_VARIABLE_329036 BOUND_VARIABLE_329037 BOUND_VARIABLE_329038) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329038)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4388 BOUND_VARIABLE_329036)) BOUND_VARIABLE_329037))))))) (let ((_let_15879 (forall ((BOUND_VARIABLE_329003 tptp.nat) (BOUND_VARIABLE_329004 tptp.set_nat) (BOUND_VARIABLE_329005 tptp.product_prod_nat_nat)) (= (ll_4091 BOUND_VARIABLE_329003 BOUND_VARIABLE_329004 BOUND_VARIABLE_329005) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_329005)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4387 BOUND_VARIABLE_329003)) BOUND_VARIABLE_329004))))))) (let ((_let_15880 (forall ((BOUND_VARIABLE_328969 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328970 tptp.nat) (BOUND_VARIABLE_328971 tptp.product_prod_nat_nat)) (= (ll_4090 BOUND_VARIABLE_328969 BOUND_VARIABLE_328970 BOUND_VARIABLE_328971) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328971)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4386 BOUND_VARIABLE_328970)) (@ BOUND_VARIABLE_328969 BOUND_VARIABLE_328970)))))))) (let ((_let_15881 (forall ((BOUND_VARIABLE_328935 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328936 tptp.nat) (BOUND_VARIABLE_328937 tptp.product_prod_nat_nat)) (= (ll_4089 BOUND_VARIABLE_328935 BOUND_VARIABLE_328936 BOUND_VARIABLE_328937) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328937)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4385 BOUND_VARIABLE_328936)) (@ BOUND_VARIABLE_328935 BOUND_VARIABLE_328936)))))))) (let ((_let_15882 (forall ((BOUND_VARIABLE_328901 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328902 tptp.nat) (BOUND_VARIABLE_328903 tptp.product_prod_nat_nat)) (= (ll_4088 BOUND_VARIABLE_328901 BOUND_VARIABLE_328902 BOUND_VARIABLE_328903) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328903)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4384 BOUND_VARIABLE_328902)) (@ BOUND_VARIABLE_328901 BOUND_VARIABLE_328902)))))))) (let ((_let_15883 (forall ((BOUND_VARIABLE_328868 tptp.int) (BOUND_VARIABLE_328869 tptp.set_int) (BOUND_VARIABLE_328870 tptp.product_prod_int_int)) (= (ll_4087 BOUND_VARIABLE_328868 BOUND_VARIABLE_328869 BOUND_VARIABLE_328870) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_328870)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4383 BOUND_VARIABLE_328868)) BOUND_VARIABLE_328869))))))) (let ((_let_15884 (forall ((BOUND_VARIABLE_328835 tptp.nat) (BOUND_VARIABLE_328836 tptp.set_nat) (BOUND_VARIABLE_328837 tptp.product_prod_nat_nat)) (= (ll_4086 BOUND_VARIABLE_328835 BOUND_VARIABLE_328836 BOUND_VARIABLE_328837) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328837)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4382 BOUND_VARIABLE_328835)) BOUND_VARIABLE_328836))))))) (let ((_let_15885 (forall ((BOUND_VARIABLE_328802 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328803 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328804 tptp.produc3843707927480180839at_nat)) (= (ll_4085 BOUND_VARIABLE_328802 BOUND_VARIABLE_328803 BOUND_VARIABLE_328804) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_328804)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4381 BOUND_VARIABLE_328802)) BOUND_VARIABLE_328803))))))) (let ((_let_15886 (forall ((BOUND_VARIABLE_328789 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328790 tptp.set_nat) (BOUND_VARIABLE_328791 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_328791)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_328789) BOUND_VARIABLE_328790))) (ll_4084 BOUND_VARIABLE_328789 BOUND_VARIABLE_328790 BOUND_VARIABLE_328791))))) (let ((_let_15887 (forall ((BOUND_VARIABLE_328777 tptp.nat)) (= (ll_4083 BOUND_VARIABLE_328777) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_328777) BOUND_VARIABLE_328777)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_15888 (forall ((BOUND_VARIABLE_328764 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328765 tptp.set_nat) (BOUND_VARIABLE_328766 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_328766)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_328764) BOUND_VARIABLE_328765))) (ll_4082 BOUND_VARIABLE_328764 BOUND_VARIABLE_328765 BOUND_VARIABLE_328766))))) (let ((_let_15889 (forall ((BOUND_VARIABLE_328731 tptp.int) (BOUND_VARIABLE_328732 tptp.set_int) (BOUND_VARIABLE_328733 tptp.product_prod_int_int)) (= (ll_4081 BOUND_VARIABLE_328731 BOUND_VARIABLE_328732 BOUND_VARIABLE_328733) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_328733)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4380 BOUND_VARIABLE_328731)) BOUND_VARIABLE_328732))))))) (let ((_let_15890 (forall ((BOUND_VARIABLE_328698 tptp.nat) (BOUND_VARIABLE_328699 tptp.set_nat) (BOUND_VARIABLE_328700 tptp.product_prod_nat_nat)) (= (ll_4080 BOUND_VARIABLE_328698 BOUND_VARIABLE_328699 BOUND_VARIABLE_328700) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328700)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4379 BOUND_VARIABLE_328698)) BOUND_VARIABLE_328699))))))) (let ((_let_15891 (forall ((BOUND_VARIABLE_328665 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328666 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328667 tptp.produc3843707927480180839at_nat)) (= (ll_4079 BOUND_VARIABLE_328665 BOUND_VARIABLE_328666 BOUND_VARIABLE_328667) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_328667)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4378 BOUND_VARIABLE_328665)) BOUND_VARIABLE_328666))))))) (let ((_let_15892 (forall ((BOUND_VARIABLE_328632 tptp.int) (BOUND_VARIABLE_328633 tptp.set_int) (BOUND_VARIABLE_328634 tptp.product_prod_int_int)) (= (ll_4078 BOUND_VARIABLE_328632 BOUND_VARIABLE_328633 BOUND_VARIABLE_328634) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_328634)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4377 BOUND_VARIABLE_328632)) BOUND_VARIABLE_328633))))))) (let ((_let_15893 (forall ((BOUND_VARIABLE_328599 tptp.nat) (BOUND_VARIABLE_328600 tptp.set_nat) (BOUND_VARIABLE_328601 tptp.product_prod_nat_nat)) (= (ll_4077 BOUND_VARIABLE_328599 BOUND_VARIABLE_328600 BOUND_VARIABLE_328601) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328601)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4376 BOUND_VARIABLE_328599)) BOUND_VARIABLE_328600))))))) (let ((_let_15894 (forall ((BOUND_VARIABLE_328566 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328567 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328568 tptp.produc3843707927480180839at_nat)) (= (ll_4076 BOUND_VARIABLE_328566 BOUND_VARIABLE_328567 BOUND_VARIABLE_328568) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_328568)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4375 BOUND_VARIABLE_328566)) BOUND_VARIABLE_328567))))))) (let ((_let_15895 (forall ((BOUND_VARIABLE_328533 tptp.int) (BOUND_VARIABLE_328534 tptp.set_int) (BOUND_VARIABLE_328535 tptp.product_prod_int_int)) (= (ll_4075 BOUND_VARIABLE_328533 BOUND_VARIABLE_328534 BOUND_VARIABLE_328535) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_328535)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4374 BOUND_VARIABLE_328533)) BOUND_VARIABLE_328534))))))) (let ((_let_15896 (forall ((BOUND_VARIABLE_328500 tptp.nat) (BOUND_VARIABLE_328501 tptp.set_nat) (BOUND_VARIABLE_328502 tptp.product_prod_nat_nat)) (= (ll_4074 BOUND_VARIABLE_328500 BOUND_VARIABLE_328501 BOUND_VARIABLE_328502) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328502)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4373 BOUND_VARIABLE_328500)) BOUND_VARIABLE_328501))))))) (let ((_let_15897 (forall ((BOUND_VARIABLE_328467 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328468 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328469 tptp.produc3843707927480180839at_nat)) (= (ll_4073 BOUND_VARIABLE_328467 BOUND_VARIABLE_328468 BOUND_VARIABLE_328469) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_328469)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4372 BOUND_VARIABLE_328467)) BOUND_VARIABLE_328468))))))) (let ((_let_15898 (forall ((BOUND_VARIABLE_328424 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328425 tptp.nat) (BOUND_VARIABLE_328426 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328427 tptp.nat) (BOUND_VARIABLE_328428 tptp.product_prod_nat_nat)) (= (ll_4072 BOUND_VARIABLE_328424 BOUND_VARIABLE_328425 BOUND_VARIABLE_328426 BOUND_VARIABLE_328427 BOUND_VARIABLE_328428) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328428)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_4371 BOUND_VARIABLE_328424) BOUND_VARIABLE_328425)) (@ BOUND_VARIABLE_328426 BOUND_VARIABLE_328427)))))))) (let ((_let_15899 (forall ((BOUND_VARIABLE_328388 tptp.set_nat) (BOUND_VARIABLE_328389 tptp.nat)) (= (ll_4071 BOUND_VARIABLE_328388 BOUND_VARIABLE_328389) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4370 BOUND_VARIABLE_328389) BOUND_VARIABLE_328388)))))) (let ((_let_15900 (forall ((BOUND_VARIABLE_328336 tptp.nat) (BOUND_VARIABLE_328337 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328338 tptp.set_nat) (BOUND_VARIABLE_328339 tptp.product_prod_nat_nat)) (= (ll_4070 BOUND_VARIABLE_328336 BOUND_VARIABLE_328337 BOUND_VARIABLE_328338 BOUND_VARIABLE_328339) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328339)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4369 BOUND_VARIABLE_328336)) (@ tptp.collect_nat (@ (@ ll_4368 BOUND_VARIABLE_328337) BOUND_VARIABLE_328338))))))))) (let ((_let_15901 (forall ((BOUND_VARIABLE_328302 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328303 tptp.nat) (BOUND_VARIABLE_328304 tptp.product_prod_nat_nat)) (= (ll_4069 BOUND_VARIABLE_328302 BOUND_VARIABLE_328303 BOUND_VARIABLE_328304) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328304)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4367 BOUND_VARIABLE_328303)) (@ BOUND_VARIABLE_328302 BOUND_VARIABLE_328303)))))))) (let ((_let_15902 (forall ((BOUND_VARIABLE_328265 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328266 tptp.set_nat) (BOUND_VARIABLE_328267 tptp.product_prod_nat_nat)) (= (ll_4068 BOUND_VARIABLE_328265 BOUND_VARIABLE_328266 BOUND_VARIABLE_328267) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328267)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4366 BOUND_VARIABLE_328265)) BOUND_VARIABLE_328266))))))) (let ((_let_15903 (forall ((BOUND_VARIABLE_328229 tptp.nat) (BOUND_VARIABLE_328230 tptp.nat) (BOUND_VARIABLE_328231 tptp.product_prod_nat_nat)) (= (ll_4067 BOUND_VARIABLE_328229 BOUND_VARIABLE_328230 BOUND_VARIABLE_328231) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328231)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4365 BOUND_VARIABLE_328229)) (@ (@ tptp.insert_nat BOUND_VARIABLE_328230) (@ tptp.collect_nat ll_1295))))))))) (let ((_let_15904 (forall ((BOUND_VARIABLE_328194 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328195 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328196 tptp.produc3843707927480180839at_nat)) (= (ll_4066 BOUND_VARIABLE_328194 BOUND_VARIABLE_328195 BOUND_VARIABLE_328196) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_328196)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4364 BOUND_VARIABLE_328194)) (@ (@ tptp.insert9200635055090092081at_nat BOUND_VARIABLE_328195) tptp.bot_bo3083307316010499117at_nat)))))))) (let ((_let_15905 (forall ((BOUND_VARIABLE_328159 tptp.int) (BOUND_VARIABLE_328160 tptp.int) (BOUND_VARIABLE_328161 tptp.product_prod_int_int)) (= (ll_4065 BOUND_VARIABLE_328159 BOUND_VARIABLE_328160 BOUND_VARIABLE_328161) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_328161)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4363 BOUND_VARIABLE_328159)) (@ (@ tptp.insert_int BOUND_VARIABLE_328160) tptp.bot_bot_set_int)))))))) (let ((_let_15906 (forall ((BOUND_VARIABLE_328126 tptp.nat) (BOUND_VARIABLE_328127 tptp.set_nat) (BOUND_VARIABLE_328128 tptp.product_prod_nat_nat)) (= (ll_4064 BOUND_VARIABLE_328126 BOUND_VARIABLE_328127 BOUND_VARIABLE_328128) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328128)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4362 BOUND_VARIABLE_328126)) BOUND_VARIABLE_328127))))))) (let ((_let_15907 (forall ((BOUND_VARIABLE_328093 tptp.int) (BOUND_VARIABLE_328094 tptp.set_int) (BOUND_VARIABLE_328095 tptp.product_prod_int_int)) (= (ll_4063 BOUND_VARIABLE_328093 BOUND_VARIABLE_328094 BOUND_VARIABLE_328095) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_328095)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4361 BOUND_VARIABLE_328093)) BOUND_VARIABLE_328094))))))) (let ((_let_15908 (forall ((BOUND_VARIABLE_328060 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_328061 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_328062 tptp.produc3843707927480180839at_nat)) (= (ll_4062 BOUND_VARIABLE_328060 BOUND_VARIABLE_328061 BOUND_VARIABLE_328062) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_328062)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4360 BOUND_VARIABLE_328060)) BOUND_VARIABLE_328061))))))) (let ((_let_15909 (forall ((BOUND_VARIABLE_328026 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_328027 tptp.nat) (BOUND_VARIABLE_328028 tptp.product_prod_nat_nat)) (= (ll_4061 BOUND_VARIABLE_328026 BOUND_VARIABLE_328027 BOUND_VARIABLE_328028) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_328028)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4359 BOUND_VARIABLE_328027)) (@ BOUND_VARIABLE_328026 BOUND_VARIABLE_328027)))))))) (let ((_let_15910 (forall ((BOUND_VARIABLE_327992 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_327993 tptp.nat) (BOUND_VARIABLE_327994 tptp.product_prod_nat_nat)) (= (ll_4060 BOUND_VARIABLE_327992 BOUND_VARIABLE_327993 BOUND_VARIABLE_327994) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327994)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4358 BOUND_VARIABLE_327993)) (@ BOUND_VARIABLE_327992 BOUND_VARIABLE_327993)))))))) (let ((_let_15911 (forall ((BOUND_VARIABLE_327959 tptp.nat) (BOUND_VARIABLE_327960 tptp.set_nat) (BOUND_VARIABLE_327961 tptp.product_prod_nat_nat)) (= (ll_4059 BOUND_VARIABLE_327959 BOUND_VARIABLE_327960 BOUND_VARIABLE_327961) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327961)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4357 BOUND_VARIABLE_327959)) BOUND_VARIABLE_327960))))))) (let ((_let_15912 (forall ((BOUND_VARIABLE_327926 tptp.nat) (BOUND_VARIABLE_327927 tptp.set_nat) (BOUND_VARIABLE_327928 tptp.product_prod_nat_nat)) (= (ll_4058 BOUND_VARIABLE_327926 BOUND_VARIABLE_327927 BOUND_VARIABLE_327928) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327928)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4356 BOUND_VARIABLE_327926)) BOUND_VARIABLE_327927))))))) (let ((_let_15913 (forall ((BOUND_VARIABLE_327893 tptp.nat) (BOUND_VARIABLE_327894 tptp.set_nat) (BOUND_VARIABLE_327895 tptp.product_prod_nat_nat)) (= (ll_4057 BOUND_VARIABLE_327893 BOUND_VARIABLE_327894 BOUND_VARIABLE_327895) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327895)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4355 BOUND_VARIABLE_327893)) BOUND_VARIABLE_327894))))))) (let ((_let_15914 (forall ((BOUND_VARIABLE_327860 tptp.nat) (BOUND_VARIABLE_327861 tptp.set_nat) (BOUND_VARIABLE_327862 tptp.product_prod_nat_nat)) (= (ll_4056 BOUND_VARIABLE_327860 BOUND_VARIABLE_327861 BOUND_VARIABLE_327862) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327862)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4354 BOUND_VARIABLE_327860)) BOUND_VARIABLE_327861))))))) (let ((_let_15915 (forall ((BOUND_VARIABLE_327826 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_327827 tptp.nat) (BOUND_VARIABLE_327828 tptp.product_prod_nat_nat)) (= (ll_4055 BOUND_VARIABLE_327826 BOUND_VARIABLE_327827 BOUND_VARIABLE_327828) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327828)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4353 BOUND_VARIABLE_327827)) (@ BOUND_VARIABLE_327826 BOUND_VARIABLE_327827)))))))) (let ((_let_15916 (forall ((BOUND_VARIABLE_327792 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_327793 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327794 tptp.produc3843707927480180839at_nat)) (= (ll_4054 BOUND_VARIABLE_327792 BOUND_VARIABLE_327793 BOUND_VARIABLE_327794) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_327794)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4352 BOUND_VARIABLE_327793)) (@ BOUND_VARIABLE_327792 BOUND_VARIABLE_327793)))))))) (let ((_let_15917 (forall ((BOUND_VARIABLE_327759 tptp.nat) (BOUND_VARIABLE_327760 tptp.set_nat) (BOUND_VARIABLE_327761 tptp.product_prod_nat_nat)) (= (ll_4053 BOUND_VARIABLE_327759 BOUND_VARIABLE_327760 BOUND_VARIABLE_327761) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327761)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4351 BOUND_VARIABLE_327759)) BOUND_VARIABLE_327760))))))) (let ((_let_15918 (forall ((BOUND_VARIABLE_327727 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327728 tptp.produc3843707927480180839at_nat)) (= (ll_4052 BOUND_VARIABLE_327727 BOUND_VARIABLE_327728) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_327728)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4350 BOUND_VARIABLE_327727)) tptp.bot_bo3083307316010499117at_nat))))))) (let ((_let_15919 (forall ((BOUND_VARIABLE_327693 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_327694 tptp.nat) (BOUND_VARIABLE_327695 tptp.product_prod_nat_nat)) (= (ll_4051 BOUND_VARIABLE_327693 BOUND_VARIABLE_327694 BOUND_VARIABLE_327695) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327695)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4349 BOUND_VARIABLE_327694)) (@ BOUND_VARIABLE_327693 BOUND_VARIABLE_327694)))))))) (let ((_let_15920 (forall ((BOUND_VARIABLE_327659 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_327660 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327661 tptp.produc3843707927480180839at_nat)) (= (ll_4050 BOUND_VARIABLE_327659 BOUND_VARIABLE_327660 BOUND_VARIABLE_327661) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_327661)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4348 BOUND_VARIABLE_327660)) (@ BOUND_VARIABLE_327659 BOUND_VARIABLE_327660)))))))) (let ((_let_15921 (forall ((BOUND_VARIABLE_327627 tptp.nat) (BOUND_VARIABLE_327628 tptp.product_prod_nat_nat)) (= (ll_4049 BOUND_VARIABLE_327627 BOUND_VARIABLE_327628) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327628)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4347 BOUND_VARIABLE_327627)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_15922 (forall ((BOUND_VARIABLE_327594 tptp.nat) (BOUND_VARIABLE_327595 tptp.set_nat) (BOUND_VARIABLE_327596 tptp.product_prod_nat_nat)) (= (ll_4048 BOUND_VARIABLE_327594 BOUND_VARIABLE_327595 BOUND_VARIABLE_327596) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327596)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4346 BOUND_VARIABLE_327594)) BOUND_VARIABLE_327595))))))) (let ((_let_15923 (forall ((BOUND_VARIABLE_327561 tptp.nat) (BOUND_VARIABLE_327562 tptp.set_nat) (BOUND_VARIABLE_327563 tptp.product_prod_nat_nat)) (= (ll_4047 BOUND_VARIABLE_327561 BOUND_VARIABLE_327562 BOUND_VARIABLE_327563) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327563)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4345 BOUND_VARIABLE_327561)) BOUND_VARIABLE_327562))))))) (let ((_let_15924 (forall ((BOUND_VARIABLE_327528 tptp.nat) (BOUND_VARIABLE_327529 tptp.set_nat) (BOUND_VARIABLE_327530 tptp.product_prod_nat_nat)) (= (ll_4046 BOUND_VARIABLE_327528 BOUND_VARIABLE_327529 BOUND_VARIABLE_327530) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327530)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4344 BOUND_VARIABLE_327528)) BOUND_VARIABLE_327529))))))) (let ((_let_15925 (forall ((BOUND_VARIABLE_327495 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327496 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_327497 tptp.produc3843707927480180839at_nat)) (= (ll_4045 BOUND_VARIABLE_327495 BOUND_VARIABLE_327496 BOUND_VARIABLE_327497) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_327497)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4343 BOUND_VARIABLE_327495)) BOUND_VARIABLE_327496))))))) (let ((_let_15926 (forall ((BOUND_VARIABLE_327462 tptp.int) (BOUND_VARIABLE_327463 tptp.set_int) (BOUND_VARIABLE_327464 tptp.product_prod_int_int)) (= (ll_4044 BOUND_VARIABLE_327462 BOUND_VARIABLE_327463 BOUND_VARIABLE_327464) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_327464)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4342 BOUND_VARIABLE_327462)) BOUND_VARIABLE_327463))))))) (let ((_let_15927 (forall ((BOUND_VARIABLE_327426 tptp.int) (BOUND_VARIABLE_327427 (-> tptp.int tptp.int)) (BOUND_VARIABLE_327428 tptp.set_int) (BOUND_VARIABLE_327429 tptp.product_prod_int_int)) (= (ll_4043 BOUND_VARIABLE_327426 BOUND_VARIABLE_327427 BOUND_VARIABLE_327428 BOUND_VARIABLE_327429) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_327429)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4341 BOUND_VARIABLE_327426)) (@ (@ tptp.image_int_int BOUND_VARIABLE_327427) BOUND_VARIABLE_327428)))))))) (let ((_let_15928 (forall ((BOUND_VARIABLE_327393 tptp.int) (BOUND_VARIABLE_327394 tptp.set_int) (BOUND_VARIABLE_327395 tptp.product_prod_int_int)) (= (ll_4042 BOUND_VARIABLE_327393 BOUND_VARIABLE_327394 BOUND_VARIABLE_327395) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_327395)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4340 BOUND_VARIABLE_327393)) BOUND_VARIABLE_327394))))))) (let ((_let_15929 (forall ((BOUND_VARIABLE_327360 tptp.int) (BOUND_VARIABLE_327361 tptp.set_int) (BOUND_VARIABLE_327362 tptp.product_prod_int_int)) (= (ll_4041 BOUND_VARIABLE_327360 BOUND_VARIABLE_327361 BOUND_VARIABLE_327362) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_327362)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4339 BOUND_VARIABLE_327360)) BOUND_VARIABLE_327361))))))) (let ((_let_15930 (forall ((BOUND_VARIABLE_327327 tptp.nat) (BOUND_VARIABLE_327328 tptp.set_nat) (BOUND_VARIABLE_327329 tptp.product_prod_nat_nat)) (= (ll_4040 BOUND_VARIABLE_327327 BOUND_VARIABLE_327328 BOUND_VARIABLE_327329) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327329)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4338 BOUND_VARIABLE_327327)) BOUND_VARIABLE_327328))))))) (let ((_let_15931 (forall ((BOUND_VARIABLE_327294 tptp.nat) (BOUND_VARIABLE_327295 tptp.set_nat) (BOUND_VARIABLE_327296 tptp.product_prod_nat_nat)) (= (ll_4039 BOUND_VARIABLE_327294 BOUND_VARIABLE_327295 BOUND_VARIABLE_327296) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327296)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4337 BOUND_VARIABLE_327294)) BOUND_VARIABLE_327295))))))) (let ((_let_15932 (forall ((BOUND_VARIABLE_327261 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327262 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_327263 tptp.produc3843707927480180839at_nat)) (= (ll_4038 BOUND_VARIABLE_327261 BOUND_VARIABLE_327262 BOUND_VARIABLE_327263) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_327263)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4336 BOUND_VARIABLE_327261)) BOUND_VARIABLE_327262))))))) (let ((_let_15933 (forall ((BOUND_VARIABLE_327228 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_327229 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_327230 tptp.produc3843707927480180839at_nat)) (= (ll_4037 BOUND_VARIABLE_327228 BOUND_VARIABLE_327229 BOUND_VARIABLE_327230) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_327230)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4335 BOUND_VARIABLE_327228)) BOUND_VARIABLE_327229))))))) (let ((_let_15934 (forall ((BOUND_VARIABLE_327195 tptp.nat) (BOUND_VARIABLE_327196 tptp.set_nat) (BOUND_VARIABLE_327197 tptp.product_prod_nat_nat)) (= (ll_4036 BOUND_VARIABLE_327195 BOUND_VARIABLE_327196 BOUND_VARIABLE_327197) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327197)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4334 BOUND_VARIABLE_327195)) BOUND_VARIABLE_327196))))))) (let ((_let_15935 (forall ((BOUND_VARIABLE_327162 tptp.nat) (BOUND_VARIABLE_327163 tptp.set_nat) (BOUND_VARIABLE_327164 tptp.product_prod_nat_nat)) (= (ll_4035 BOUND_VARIABLE_327162 BOUND_VARIABLE_327163 BOUND_VARIABLE_327164) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327164)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4333 BOUND_VARIABLE_327162)) BOUND_VARIABLE_327163))))))) (let ((_let_15936 (forall ((BOUND_VARIABLE_327129 tptp.nat) (BOUND_VARIABLE_327130 tptp.set_nat) (BOUND_VARIABLE_327131 tptp.product_prod_nat_nat)) (= (ll_4034 BOUND_VARIABLE_327129 BOUND_VARIABLE_327130 BOUND_VARIABLE_327131) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327131)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4332 BOUND_VARIABLE_327129)) BOUND_VARIABLE_327130))))))) (let ((_let_15937 (forall ((BOUND_VARIABLE_327096 tptp.int) (BOUND_VARIABLE_327097 tptp.set_int) (BOUND_VARIABLE_327098 tptp.product_prod_int_int)) (= (ll_4033 BOUND_VARIABLE_327096 BOUND_VARIABLE_327097 BOUND_VARIABLE_327098) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_327098)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4331 BOUND_VARIABLE_327096)) BOUND_VARIABLE_327097))))))) (let ((_let_15938 (forall ((BOUND_VARIABLE_327063 tptp.nat) (BOUND_VARIABLE_327064 tptp.set_nat) (BOUND_VARIABLE_327065 tptp.product_prod_nat_nat)) (= (ll_4032 BOUND_VARIABLE_327063 BOUND_VARIABLE_327064 BOUND_VARIABLE_327065) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327065)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4330 BOUND_VARIABLE_327063)) BOUND_VARIABLE_327064))))))) (let ((_let_15939 (forall ((BOUND_VARIABLE_327030 tptp.nat) (BOUND_VARIABLE_327031 tptp.set_nat) (BOUND_VARIABLE_327032 tptp.product_prod_nat_nat)) (= (ll_4031 BOUND_VARIABLE_327030 BOUND_VARIABLE_327031 BOUND_VARIABLE_327032) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_327032)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4329 BOUND_VARIABLE_327030)) BOUND_VARIABLE_327031))))))) (let ((_let_15940 (forall ((BOUND_VARIABLE_326996 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326997 tptp.nat) (BOUND_VARIABLE_326998 tptp.product_prod_nat_nat)) (= (ll_4030 BOUND_VARIABLE_326996 BOUND_VARIABLE_326997 BOUND_VARIABLE_326998) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326998)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4328 BOUND_VARIABLE_326997)) (@ BOUND_VARIABLE_326996 BOUND_VARIABLE_326997)))))))) (let ((_let_15941 (forall ((BOUND_VARIABLE_326962 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326963 tptp.nat) (BOUND_VARIABLE_326964 tptp.product_prod_nat_nat)) (= (ll_4029 BOUND_VARIABLE_326962 BOUND_VARIABLE_326963 BOUND_VARIABLE_326964) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326964)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4327 BOUND_VARIABLE_326963)) (@ BOUND_VARIABLE_326962 BOUND_VARIABLE_326963)))))))) (let ((_let_15942 (forall ((BOUND_VARIABLE_326927 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_326928 tptp.int) (BOUND_VARIABLE_326929 tptp.product_prod_int_int)) (= (ll_4028 BOUND_VARIABLE_326927 BOUND_VARIABLE_326928 BOUND_VARIABLE_326929) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326929)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4326 BOUND_VARIABLE_326928)) (@ tptp.collect_int (@ BOUND_VARIABLE_326927 BOUND_VARIABLE_326928))))))))) (let ((_let_15943 (forall ((BOUND_VARIABLE_326892 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_326893 tptp.nat) (BOUND_VARIABLE_326894 tptp.product_prod_nat_nat)) (= (ll_4027 BOUND_VARIABLE_326892 BOUND_VARIABLE_326893 BOUND_VARIABLE_326894) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326894)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4325 BOUND_VARIABLE_326893)) (@ tptp.collect_nat (@ BOUND_VARIABLE_326892 BOUND_VARIABLE_326893))))))))) (let ((_let_15944 (forall ((BOUND_VARIABLE_326858 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326859 tptp.nat) (BOUND_VARIABLE_326860 tptp.product_prod_nat_nat)) (= (ll_4026 BOUND_VARIABLE_326858 BOUND_VARIABLE_326859 BOUND_VARIABLE_326860) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326860)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4324 BOUND_VARIABLE_326859)) (@ BOUND_VARIABLE_326858 BOUND_VARIABLE_326859)))))))) (let ((_let_15945 (forall ((BOUND_VARIABLE_326824 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_326825 tptp.int) (BOUND_VARIABLE_326826 tptp.product_prod_int_int)) (= (ll_4025 BOUND_VARIABLE_326824 BOUND_VARIABLE_326825 BOUND_VARIABLE_326826) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326826)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4323 BOUND_VARIABLE_326825)) (@ BOUND_VARIABLE_326824 BOUND_VARIABLE_326825)))))))) (let ((_let_15946 (forall ((BOUND_VARIABLE_326790 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326791 tptp.nat) (BOUND_VARIABLE_326792 tptp.product_prod_nat_nat)) (= (ll_4024 BOUND_VARIABLE_326790 BOUND_VARIABLE_326791 BOUND_VARIABLE_326792) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326792)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4322 BOUND_VARIABLE_326791)) (@ BOUND_VARIABLE_326790 BOUND_VARIABLE_326791)))))))) (let ((_let_15947 (forall ((BOUND_VARIABLE_326756 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_326757 tptp.int) (BOUND_VARIABLE_326758 tptp.product_prod_int_int)) (= (ll_4023 BOUND_VARIABLE_326756 BOUND_VARIABLE_326757 BOUND_VARIABLE_326758) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326758)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4321 BOUND_VARIABLE_326757)) (@ BOUND_VARIABLE_326756 BOUND_VARIABLE_326757)))))))) (let ((_let_15948 (forall ((BOUND_VARIABLE_326722 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_326723 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_326724 tptp.produc3843707927480180839at_nat)) (= (ll_4022 BOUND_VARIABLE_326722 BOUND_VARIABLE_326723 BOUND_VARIABLE_326724) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_326724)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4320 BOUND_VARIABLE_326723)) (@ BOUND_VARIABLE_326722 BOUND_VARIABLE_326723)))))))) (let ((_let_15949 (forall ((BOUND_VARIABLE_326688 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326689 tptp.nat) (BOUND_VARIABLE_326690 tptp.product_prod_nat_nat)) (= (ll_4021 BOUND_VARIABLE_326688 BOUND_VARIABLE_326689 BOUND_VARIABLE_326690) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326690)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4319 BOUND_VARIABLE_326689)) (@ BOUND_VARIABLE_326688 BOUND_VARIABLE_326689)))))))) (let ((_let_15950 (forall ((BOUND_VARIABLE_326654 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_326655 tptp.int) (BOUND_VARIABLE_326656 tptp.product_prod_int_int)) (= (ll_4020 BOUND_VARIABLE_326654 BOUND_VARIABLE_326655 BOUND_VARIABLE_326656) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326656)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4318 BOUND_VARIABLE_326655)) (@ BOUND_VARIABLE_326654 BOUND_VARIABLE_326655)))))))) (let ((_let_15951 (forall ((BOUND_VARIABLE_326620 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_326621 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_326622 tptp.produc3843707927480180839at_nat)) (= (ll_4019 BOUND_VARIABLE_326620 BOUND_VARIABLE_326621 BOUND_VARIABLE_326622) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_326622)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_4317 BOUND_VARIABLE_326621)) (@ BOUND_VARIABLE_326620 BOUND_VARIABLE_326621)))))))) (let ((_let_15952 (forall ((BOUND_VARIABLE_326586 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326587 tptp.nat) (BOUND_VARIABLE_326588 tptp.product_prod_nat_nat)) (= (ll_4018 BOUND_VARIABLE_326586 BOUND_VARIABLE_326587 BOUND_VARIABLE_326588) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326588)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4316 BOUND_VARIABLE_326587)) (@ BOUND_VARIABLE_326586 BOUND_VARIABLE_326587)))))))) (let ((_let_15953 (forall ((BOUND_VARIABLE_326552 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_326553 tptp.int) (BOUND_VARIABLE_326554 tptp.product_prod_int_int)) (= (ll_4017 BOUND_VARIABLE_326552 BOUND_VARIABLE_326553 BOUND_VARIABLE_326554) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326554)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4315 BOUND_VARIABLE_326553)) (@ BOUND_VARIABLE_326552 BOUND_VARIABLE_326553)))))))) (let ((_let_15954 (forall ((BOUND_VARIABLE_326518 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326519 tptp.nat) (BOUND_VARIABLE_326520 tptp.product_prod_nat_nat)) (= (ll_4016 BOUND_VARIABLE_326518 BOUND_VARIABLE_326519 BOUND_VARIABLE_326520) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326520)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4314 BOUND_VARIABLE_326519)) (@ BOUND_VARIABLE_326518 BOUND_VARIABLE_326519)))))))) (let ((_let_15955 (forall ((BOUND_VARIABLE_326484 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326485 tptp.nat) (BOUND_VARIABLE_326486 tptp.product_prod_nat_nat)) (= (ll_4015 BOUND_VARIABLE_326484 BOUND_VARIABLE_326485 BOUND_VARIABLE_326486) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326486)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4313 BOUND_VARIABLE_326485)) (@ BOUND_VARIABLE_326484 BOUND_VARIABLE_326485)))))))) (let ((_let_15956 (forall ((BOUND_VARIABLE_326451 tptp.nat) (BOUND_VARIABLE_326452 tptp.set_nat) (BOUND_VARIABLE_326453 tptp.product_prod_nat_nat)) (= (ll_4014 BOUND_VARIABLE_326451 BOUND_VARIABLE_326452 BOUND_VARIABLE_326453) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326453)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4312 BOUND_VARIABLE_326451)) BOUND_VARIABLE_326452))))))) (let ((_let_15957 (forall ((BOUND_VARIABLE_326418 tptp.nat) (BOUND_VARIABLE_326419 tptp.set_nat) (BOUND_VARIABLE_326420 tptp.product_prod_nat_nat)) (= (ll_4013 BOUND_VARIABLE_326418 BOUND_VARIABLE_326419 BOUND_VARIABLE_326420) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326420)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4311 BOUND_VARIABLE_326418)) BOUND_VARIABLE_326419))))))) (let ((_let_15958 (forall ((BOUND_VARIABLE_326384 tptp.int) (BOUND_VARIABLE_326385 (-> tptp.int Bool)) (BOUND_VARIABLE_326386 tptp.product_prod_int_int)) (= (ll_4012 BOUND_VARIABLE_326384 BOUND_VARIABLE_326385 BOUND_VARIABLE_326386) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326386)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4310 BOUND_VARIABLE_326384)) (@ tptp.collect_int BOUND_VARIABLE_326385)))))))) (let ((_let_15959 (forall ((BOUND_VARIABLE_326350 tptp.nat) (BOUND_VARIABLE_326351 (-> tptp.nat Bool)) (BOUND_VARIABLE_326352 tptp.product_prod_nat_nat)) (= (ll_4011 BOUND_VARIABLE_326350 BOUND_VARIABLE_326351 BOUND_VARIABLE_326352) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326352)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4309 BOUND_VARIABLE_326350)) (@ tptp.collect_nat BOUND_VARIABLE_326351)))))))) (let ((_let_15960 (forall ((BOUND_VARIABLE_326316 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326317 tptp.nat) (BOUND_VARIABLE_326318 tptp.product_prod_nat_nat)) (= (ll_4010 BOUND_VARIABLE_326316 BOUND_VARIABLE_326317 BOUND_VARIABLE_326318) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326318)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4308 BOUND_VARIABLE_326317)) (@ BOUND_VARIABLE_326316 BOUND_VARIABLE_326317)))))))) (let ((_let_15961 (forall ((BOUND_VARIABLE_326282 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_326283 tptp.int) (BOUND_VARIABLE_326284 tptp.product_prod_int_int)) (= (ll_4009 BOUND_VARIABLE_326282 BOUND_VARIABLE_326283 BOUND_VARIABLE_326284) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326284)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4307 BOUND_VARIABLE_326283)) (@ BOUND_VARIABLE_326282 BOUND_VARIABLE_326283)))))))) (let ((_let_15962 (forall ((BOUND_VARIABLE_326248 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_326249 tptp.nat) (BOUND_VARIABLE_326250 tptp.product_prod_nat_nat)) (= (ll_4008 BOUND_VARIABLE_326248 BOUND_VARIABLE_326249 BOUND_VARIABLE_326250) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326250)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4306 BOUND_VARIABLE_326249)) (@ BOUND_VARIABLE_326248 BOUND_VARIABLE_326249)))))))) (let ((_let_15963 (forall ((BOUND_VARIABLE_326214 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_326215 tptp.int) (BOUND_VARIABLE_326216 tptp.product_prod_int_int)) (= (ll_4007 BOUND_VARIABLE_326214 BOUND_VARIABLE_326215 BOUND_VARIABLE_326216) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326216)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4305 BOUND_VARIABLE_326215)) (@ BOUND_VARIABLE_326214 BOUND_VARIABLE_326215)))))))) (let ((_let_15964 (forall ((BOUND_VARIABLE_326180 tptp.nat) (BOUND_VARIABLE_326181 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_326182 tptp.product_prod_nat_nat)) (= (ll_4006 BOUND_VARIABLE_326180 BOUND_VARIABLE_326181 BOUND_VARIABLE_326182) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326182)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4304 BOUND_VARIABLE_326180)) (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) BOUND_VARIABLE_326181)))))))) (let ((_let_15965 (forall ((BOUND_VARIABLE_326147 tptp.nat) (BOUND_VARIABLE_326148 tptp.set_nat) (BOUND_VARIABLE_326149 tptp.product_prod_nat_nat)) (= (ll_4005 BOUND_VARIABLE_326147 BOUND_VARIABLE_326148 BOUND_VARIABLE_326149) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_326149)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4303 BOUND_VARIABLE_326147)) BOUND_VARIABLE_326148))))))) (let ((_let_15966 (forall ((BOUND_VARIABLE_326114 tptp.int) (BOUND_VARIABLE_326115 tptp.set_int) (BOUND_VARIABLE_326116 tptp.product_prod_int_int)) (= (ll_4004 BOUND_VARIABLE_326114 BOUND_VARIABLE_326115 BOUND_VARIABLE_326116) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326116)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4302 BOUND_VARIABLE_326114)) BOUND_VARIABLE_326115))))))) (let ((_let_15967 (forall ((BOUND_VARIABLE_326081 tptp.int) (BOUND_VARIABLE_326082 tptp.set_int) (BOUND_VARIABLE_326083 tptp.product_prod_int_int)) (= (ll_4003 BOUND_VARIABLE_326081 BOUND_VARIABLE_326082 BOUND_VARIABLE_326083) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326083)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4301 BOUND_VARIABLE_326081)) BOUND_VARIABLE_326082))))))) (let ((_let_15968 (forall ((BOUND_VARIABLE_326048 tptp.int) (BOUND_VARIABLE_326049 tptp.set_int) (BOUND_VARIABLE_326050 tptp.product_prod_int_int)) (= (ll_4002 BOUND_VARIABLE_326048 BOUND_VARIABLE_326049 BOUND_VARIABLE_326050) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_326050)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_4300 BOUND_VARIABLE_326048)) BOUND_VARIABLE_326049))))))) (let ((_let_15969 (forall ((BOUND_VARIABLE_326029 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_326030 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_326031 tptp.product_prod_nat_nat) (BOUND_VARIABLE_326032 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_326029 BOUND_VARIABLE_326031) B4)) (not (@ (@ (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) BOUND_VARIABLE_326030)) B4) BOUND_VARIABLE_326032))))) (ll_4001 BOUND_VARIABLE_326029 BOUND_VARIABLE_326030 BOUND_VARIABLE_326031 BOUND_VARIABLE_326032))))) (let ((_let_15970 (forall ((BOUND_VARIABLE_326008 tptp.nat) (BOUND_VARIABLE_326009 tptp.num)) (= (ll_4000 BOUND_VARIABLE_326008 BOUND_VARIABLE_326009) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (@ ll_4299 BOUND_VARIABLE_326009)) BOUND_VARIABLE_326008))))) (let ((_let_15971 (forall ((BOUND_VARIABLE_325988 tptp.code_integer) (BOUND_VARIABLE_325989 tptp.code_integer) (BOUND_VARIABLE_325990 tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_325989))) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325990)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_325988) BOUND_VARIABLE_325990))) (ll_3999 BOUND_VARIABLE_325988 BOUND_VARIABLE_325989 BOUND_VARIABLE_325990)))))) (let ((_let_15972 (forall ((BOUND_VARIABLE_325967 tptp.code_integer) (BOUND_VARIABLE_325968 tptp.code_integer) (BOUND_VARIABLE_325969 tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_325968))) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325969)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_325967)) BOUND_VARIABLE_325969))) (ll_3998 BOUND_VARIABLE_325967 BOUND_VARIABLE_325968 BOUND_VARIABLE_325969)))))) (let ((_let_15973 (forall ((BOUND_VARIABLE_325958 tptp.code_integer) (BOUND_VARIABLE_325959 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer) (@ tptp.times_3573771949741848930nteger BOUND_VARIABLE_325958)) BOUND_VARIABLE_325959) (ll_3997 BOUND_VARIABLE_325958 BOUND_VARIABLE_325959))))) (let ((_let_15974 (forall ((BOUND_VARIABLE_325937 tptp.code_integer) (BOUND_VARIABLE_325938 tptp.code_integer) (BOUND_VARIABLE_325939 tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_325938))) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325939)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.abs_abs_Code_integer BOUND_VARIABLE_325937)) BOUND_VARIABLE_325939))) (ll_3996 BOUND_VARIABLE_325937 BOUND_VARIABLE_325938 BOUND_VARIABLE_325939)))))) (let ((_let_15975 (forall ((BOUND_VARIABLE_325915 tptp.code_integer) (BOUND_VARIABLE_325916 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)))) (let ((_let_2 (@ (@ (@ _let_1 ll_2610) (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.code_int_of_integer BOUND_VARIABLE_325915)))) (= (ll_3995 BOUND_VARIABLE_325915 BOUND_VARIABLE_325916) (@ (@ (@ tptp.if_int (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325916)) _let_2) (@ (@ (@ _let_1 ll_3243) _let_2) tptp.one_one_int)))))))) (let ((_let_15976 (forall ((BOUND_VARIABLE_325891 tptp.code_integer) (BOUND_VARIABLE_325892 tptp.code_integer)) (let ((_let_1 (@ (@ (@ (@ tptp.map_fu1227494855608507351um_num tptp.code_int_of_integer) tptp.id_num) ll_3284) BOUND_VARIABLE_325891))) (let ((_let_2 (@ (@ tptp.plus_plus_num _let_1) _let_1))) (= (ll_3994 BOUND_VARIABLE_325891 BOUND_VARIABLE_325892) (@ (@ (@ tptp.if_num (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325892)) _let_2) (@ (@ tptp.plus_plus_num _let_2) tptp.one)))))))) (let ((_let_15977 (forall ((BOUND_VARIABLE_325876 tptp.code_integer) (BOUND_VARIABLE_325877 tptp.code_integer)) (let ((_let_1 (@ tptp.code_nat_of_integer BOUND_VARIABLE_325876))) (let ((_let_2 (@ (@ tptp.plus_plus_nat _let_1) _let_1))) (= (@ (@ (@ tptp.if_nat (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325877)) _let_2) (@ (@ tptp.plus_plus_nat _let_2) tptp.one_one_nat)) (ll_3993 BOUND_VARIABLE_325876 BOUND_VARIABLE_325877))))))) (let ((_let_15978 (forall ((BOUND_VARIABLE_325858 tptp.code_integer) (BOUND_VARIABLE_325859 tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_325858))) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325859)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))) BOUND_VARIABLE_325859))) (ll_3992 BOUND_VARIABLE_325858 BOUND_VARIABLE_325859)))))) (let ((_let_15979 (forall ((BOUND_VARIABLE_325840 tptp.code_integer) (BOUND_VARIABLE_325841 tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_325840))) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_325841)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.uminus1351360451143612070nteger (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) BOUND_VARIABLE_325841))) (ll_3991 BOUND_VARIABLE_325840 BOUND_VARIABLE_325841)))))) (let ((_let_15980 (forall ((BOUND_VARIABLE_325823 tptp.nat)) (= (ll_3990 BOUND_VARIABLE_325823) (@ tptp.collect_nat (@ ll_4298 BOUND_VARIABLE_325823)))))) (let ((_let_15981 (forall ((BOUND_VARIABLE_325801 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325802 tptp.nat) (BOUND_VARIABLE_325803 tptp.nat)) (= (ll_3989 BOUND_VARIABLE_325801 BOUND_VARIABLE_325802 BOUND_VARIABLE_325803) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325801)) BOUND_VARIABLE_325803)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325802) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325801))))))) (let ((_let_15982 (forall ((BOUND_VARIABLE_325779 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325780 tptp.nat) (BOUND_VARIABLE_325781 tptp.nat)) (= (ll_3988 BOUND_VARIABLE_325779 BOUND_VARIABLE_325780 BOUND_VARIABLE_325781) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325779)) BOUND_VARIABLE_325781)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325780) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325779))))))) (let ((_let_15983 (forall ((BOUND_VARIABLE_325757 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325758 tptp.nat) (BOUND_VARIABLE_325759 tptp.nat)) (= (ll_3987 BOUND_VARIABLE_325757 BOUND_VARIABLE_325758 BOUND_VARIABLE_325759) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325757)) BOUND_VARIABLE_325759)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325758) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325757))))))) (let ((_let_15984 (forall ((BOUND_VARIABLE_325735 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325736 tptp.nat) (BOUND_VARIABLE_325737 tptp.nat)) (= (ll_3986 BOUND_VARIABLE_325735 BOUND_VARIABLE_325736 BOUND_VARIABLE_325737) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325735)) BOUND_VARIABLE_325737)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325736) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325735))))))) (let ((_let_15985 (forall ((BOUND_VARIABLE_325713 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325714 tptp.nat) (BOUND_VARIABLE_325715 tptp.nat)) (= (ll_3985 BOUND_VARIABLE_325713 BOUND_VARIABLE_325714 BOUND_VARIABLE_325715) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325713)) BOUND_VARIABLE_325715)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325714) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325713))))))) (let ((_let_15986 (forall ((BOUND_VARIABLE_325691 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325692 tptp.nat) (BOUND_VARIABLE_325693 tptp.nat)) (= (ll_3984 BOUND_VARIABLE_325691 BOUND_VARIABLE_325692 BOUND_VARIABLE_325693) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325691)) BOUND_VARIABLE_325693)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325692) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325691))))))) (let ((_let_15987 (forall ((BOUND_VARIABLE_325669 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325670 tptp.nat) (BOUND_VARIABLE_325671 tptp.nat)) (= (ll_3983 BOUND_VARIABLE_325669 BOUND_VARIABLE_325670 BOUND_VARIABLE_325671) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325669)) BOUND_VARIABLE_325670)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325669)) BOUND_VARIABLE_325671)))))) (let ((_let_15988 (forall ((BOUND_VARIABLE_325647 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325648 tptp.nat) (BOUND_VARIABLE_325649 tptp.nat)) (= (ll_3982 BOUND_VARIABLE_325647 BOUND_VARIABLE_325648 BOUND_VARIABLE_325649) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325647)) BOUND_VARIABLE_325648)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325647)) BOUND_VARIABLE_325649)))))) (let ((_let_15989 (forall ((BOUND_VARIABLE_325625 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325626 tptp.nat) (BOUND_VARIABLE_325627 tptp.nat)) (= (ll_3981 BOUND_VARIABLE_325625 BOUND_VARIABLE_325626 BOUND_VARIABLE_325627) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325625)) BOUND_VARIABLE_325627)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325625)) BOUND_VARIABLE_325626)))))) (let ((_let_15990 (forall ((BOUND_VARIABLE_325603 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325604 tptp.nat) (BOUND_VARIABLE_325605 tptp.nat)) (= (ll_3980 BOUND_VARIABLE_325603 BOUND_VARIABLE_325604 BOUND_VARIABLE_325605) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325603)) BOUND_VARIABLE_325605)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325603)) BOUND_VARIABLE_325604)))))) (let ((_let_15991 (forall ((BOUND_VARIABLE_325583 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325584 tptp.nat) (BOUND_VARIABLE_325585 tptp.nat)) (= (ll_3979 BOUND_VARIABLE_325583 BOUND_VARIABLE_325584 BOUND_VARIABLE_325585) (= (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325584) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325583)) (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325583)) BOUND_VARIABLE_325585)))))) (let ((_let_15992 (forall ((BOUND_VARIABLE_325550 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325551 tptp.nat) (BOUND_VARIABLE_325552 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325550)))) (let ((_let_2 (@ tptp.times_times_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325550)))) (= (ll_3978 BOUND_VARIABLE_325550 BOUND_VARIABLE_325551 BOUND_VARIABLE_325552) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_325551)) (@ _let_1 BOUND_VARIABLE_325552))) (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_325552)) (@ _let_1 BOUND_VARIABLE_325551))))))))) (let ((_let_15993 (forall ((BOUND_VARIABLE_325517 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325518 tptp.nat) (BOUND_VARIABLE_325519 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325517)))) (let ((_let_2 (@ tptp.times_times_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325517)))) (= (ll_3977 BOUND_VARIABLE_325517 BOUND_VARIABLE_325518 BOUND_VARIABLE_325519) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_325518)) (@ _let_1 BOUND_VARIABLE_325519))) (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_325519)) (@ _let_1 BOUND_VARIABLE_325518))))))))) (let ((_let_15994 (forall ((BOUND_VARIABLE_325484 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325485 tptp.nat) (BOUND_VARIABLE_325486 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325484)))) (let ((_let_2 (@ tptp.times_times_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325484)))) (= (ll_3976 BOUND_VARIABLE_325484 BOUND_VARIABLE_325485 BOUND_VARIABLE_325486) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_325485)) (@ _let_1 BOUND_VARIABLE_325486))) (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_325486)) (@ _let_1 BOUND_VARIABLE_325485))))))))) (let ((_let_15995 (forall ((BOUND_VARIABLE_325462 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325463 tptp.nat) (BOUND_VARIABLE_325464 tptp.nat)) (= (ll_3975 BOUND_VARIABLE_325462 BOUND_VARIABLE_325463 BOUND_VARIABLE_325464) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325462)) BOUND_VARIABLE_325463)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325462)) BOUND_VARIABLE_325464)))))) (let ((_let_15996 (forall ((BOUND_VARIABLE_325440 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325441 tptp.nat) (BOUND_VARIABLE_325442 tptp.nat)) (= (ll_3974 BOUND_VARIABLE_325440 BOUND_VARIABLE_325441 BOUND_VARIABLE_325442) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325440)) BOUND_VARIABLE_325441)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325440)) BOUND_VARIABLE_325442)))))) (let ((_let_15997 (forall ((BOUND_VARIABLE_325418 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325419 tptp.nat) (BOUND_VARIABLE_325420 tptp.nat)) (= (ll_3973 BOUND_VARIABLE_325418 BOUND_VARIABLE_325419 BOUND_VARIABLE_325420) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325418)) BOUND_VARIABLE_325420)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325418)) BOUND_VARIABLE_325419)))))) (let ((_let_15998 (forall ((BOUND_VARIABLE_325396 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325397 tptp.nat) (BOUND_VARIABLE_325398 tptp.nat)) (= (ll_3972 BOUND_VARIABLE_325396 BOUND_VARIABLE_325397 BOUND_VARIABLE_325398) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325396)) BOUND_VARIABLE_325398)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325397) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325396))))))) (let ((_let_15999 (forall ((BOUND_VARIABLE_325373 tptp.int) (BOUND_VARIABLE_325374 tptp.nat) (BOUND_VARIABLE_325375 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_325373))) (= (ll_3971 BOUND_VARIABLE_325373 BOUND_VARIABLE_325374 BOUND_VARIABLE_325375) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_325375)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325374) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16000 (forall ((BOUND_VARIABLE_325351 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325352 tptp.nat) (BOUND_VARIABLE_325353 tptp.nat)) (= (ll_3970 BOUND_VARIABLE_325351 BOUND_VARIABLE_325352 BOUND_VARIABLE_325353) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325351)) BOUND_VARIABLE_325353)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325352) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325351))))))) (let ((_let_16001 (forall ((BOUND_VARIABLE_325328 tptp.int) (BOUND_VARIABLE_325329 tptp.nat) (BOUND_VARIABLE_325330 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_325328))) (= (ll_3969 BOUND_VARIABLE_325328 BOUND_VARIABLE_325329 BOUND_VARIABLE_325330) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_325330)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_325329) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16002 (forall ((BOUND_VARIABLE_325321 tptp.nat) (BOUND_VARIABLE_325322 tptp.nat)) (= (= BOUND_VARIABLE_325321 BOUND_VARIABLE_325322) (ll_3968 BOUND_VARIABLE_325321 BOUND_VARIABLE_325322))))) (let ((_let_16003 (forall ((BOUND_VARIABLE_325314 tptp.nat) (BOUND_VARIABLE_325315 tptp.nat)) (= (= BOUND_VARIABLE_325314 BOUND_VARIABLE_325315) (ll_3967 BOUND_VARIABLE_325314 BOUND_VARIABLE_325315))))) (let ((_let_16004 (forall ((BOUND_VARIABLE_325301 Bool)) (let ((_let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334)))) (= (ll_3966 BOUND_VARIABLE_325301) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_325301) (@ tptp.min_ex6901939911449802026at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat ll_3228) tptp.top_top_set_o)))) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat _let_1) _let_1)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_16005 (forall ((BOUND_VARIABLE_325285 Bool)) (let ((_let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334)))) (= (ll_3965 BOUND_VARIABLE_325285) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_325285) (@ tptp.max_ex8135407076693332796at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat ll_3228) tptp.top_top_set_o)))) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat _let_1) _let_1)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_16006 (forall ((BOUND_VARIABLE_325263 tptp.product_prod_nat_nat) (BOUND_VARIABLE_325264 tptp.nat) (BOUND_VARIABLE_325265 tptp.nat)) (= (ll_3964 BOUND_VARIABLE_325263 BOUND_VARIABLE_325264 BOUND_VARIABLE_325265) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_325263)) BOUND_VARIABLE_325265)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_325263)) BOUND_VARIABLE_325264)))))) (let ((_let_16007 (forall ((BOUND_VARIABLE_325254 tptp.nat) (BOUND_VARIABLE_325255 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat (@ tptp.suc BOUND_VARIABLE_325254)) BOUND_VARIABLE_325255) (ll_3963 BOUND_VARIABLE_325254 BOUND_VARIABLE_325255))))) (let ((_let_16008 (forall ((BOUND_VARIABLE_325212 tptp.nat) (BOUND_VARIABLE_325213 tptp.nat)) (= (ll_3962 BOUND_VARIABLE_325212 BOUND_VARIABLE_325213) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4297 BOUND_VARIABLE_325213) BOUND_VARIABLE_325212)))))) (let ((_let_16009 (forall ((BOUND_VARIABLE_325204 tptp.nat) (BOUND_VARIABLE_325205 tptp.nat)) (= (@ (@ tptp.ord_less_nat BOUND_VARIABLE_325205) BOUND_VARIABLE_325204) (ll_3961 BOUND_VARIABLE_325204 BOUND_VARIABLE_325205))))) (let ((_let_16010 (forall ((BOUND_VARIABLE_325166 tptp.nat) (BOUND_VARIABLE_325167 tptp.nat)) (= (ll_3960 BOUND_VARIABLE_325166 BOUND_VARIABLE_325167) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4296 BOUND_VARIABLE_325167) BOUND_VARIABLE_325166)))))) (let ((_let_16011 (forall ((BOUND_VARIABLE_325137 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_325138 tptp.set_nat) (BOUND_VARIABLE_325139 tptp.nat)) (= (ll_3959 BOUND_VARIABLE_325137 BOUND_VARIABLE_325138 BOUND_VARIABLE_325139) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_325139)) (@ (@ tptp.image_nat_set_nat (@ ll_4295 BOUND_VARIABLE_325137)) BOUND_VARIABLE_325138))))))) (let ((_let_16012 (forall ((BOUND_VARIABLE_325107 (-> tptp.nat Bool)) (BOUND_VARIABLE_325108 tptp.set_o) (BOUND_VARIABLE_325109 tptp.nat)) (= (ll_3958 BOUND_VARIABLE_325107 BOUND_VARIABLE_325108 BOUND_VARIABLE_325109) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_325109)) (@ (@ tptp.image_o_set_nat (@ ll_4294 BOUND_VARIABLE_325107)) BOUND_VARIABLE_325108))))))) (let ((_let_16013 (forall ((BOUND_VARIABLE_325077 (-> tptp.nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_325078 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_325079 tptp.nat)) (= (ll_3957 BOUND_VARIABLE_325077 BOUND_VARIABLE_325078 BOUND_VARIABLE_325079) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_325079)) (@ (@ tptp.image_15824709712370754et_nat (@ ll_4293 BOUND_VARIABLE_325077)) BOUND_VARIABLE_325078))))))) (let ((_let_16014 (forall ((BOUND_VARIABLE_325047 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_325048 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_325049 tptp.nat)) (= (ll_3956 BOUND_VARIABLE_325047 BOUND_VARIABLE_325048 BOUND_VARIABLE_325049) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_325049)) (@ (@ tptp.image_3160451284896210088et_nat (@ ll_4292 BOUND_VARIABLE_325047)) BOUND_VARIABLE_325048))))))) (let ((_let_16015 (forall ((BOUND_VARIABLE_325017 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_325018 tptp.set_Product_unit) (BOUND_VARIABLE_325019 tptp.nat)) (= (ll_3955 BOUND_VARIABLE_325017 BOUND_VARIABLE_325018 BOUND_VARIABLE_325019) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_325019)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_4291 BOUND_VARIABLE_325017)) BOUND_VARIABLE_325018))))))) (let ((_let_16016 (forall ((BOUND_VARIABLE_324981 tptp.set_nat) (BOUND_VARIABLE_324982 tptp.nat)) (= (ll_3954 BOUND_VARIABLE_324981 BOUND_VARIABLE_324982) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4290 BOUND_VARIABLE_324982) BOUND_VARIABLE_324981)))))) (let ((_let_16017 (forall ((BOUND_VARIABLE_324948 tptp.nat)) (= (ll_3953 BOUND_VARIABLE_324948) (@ tptp.collec3392354462482085612at_nat (@ ll_4289 BOUND_VARIABLE_324948)))))) (let ((_let_16018 (forall ((BOUND_VARIABLE_324938 (-> tptp.int tptp.int)) (BOUND_VARIABLE_324939 tptp.product_prod_int_int)) (= (= (@ tptp.product_snd_int_int BOUND_VARIABLE_324939) (@ BOUND_VARIABLE_324938 (@ tptp.product_fst_int_int BOUND_VARIABLE_324939))) (ll_3952 BOUND_VARIABLE_324938 BOUND_VARIABLE_324939))))) (let ((_let_16019 (forall ((BOUND_VARIABLE_324929 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_324930 tptp.nat) (BOUND_VARIABLE_324931 tptp.nat)) (= (= BOUND_VARIABLE_324931 (@ BOUND_VARIABLE_324929 BOUND_VARIABLE_324930)) (ll_3951 BOUND_VARIABLE_324929 BOUND_VARIABLE_324930 BOUND_VARIABLE_324931))))) (let ((_let_16020 (forall ((BOUND_VARIABLE_324891 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_324892 tptp.int)) (= (ll_3950 BOUND_VARIABLE_324891 BOUND_VARIABLE_324892) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4288 BOUND_VARIABLE_324891) BOUND_VARIABLE_324892)))))) (let ((_let_16021 (forall ((BOUND_VARIABLE_324853 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_324854 tptp.int)) (= (ll_3949 BOUND_VARIABLE_324853 BOUND_VARIABLE_324854) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4287 BOUND_VARIABLE_324853) BOUND_VARIABLE_324854)))))) (let ((_let_16022 (forall ((BOUND_VARIABLE_324843 tptp.nat) (BOUND_VARIABLE_324844 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_324843) BOUND_VARIABLE_324844)) tptp.bot_bo7038385379056416535at_num) (ll_3948 BOUND_VARIABLE_324843 BOUND_VARIABLE_324844))))) (let ((_let_16023 (forall ((BOUND_VARIABLE_324833 tptp.nat) (BOUND_VARIABLE_324834 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_324833) BOUND_VARIABLE_324834)) tptp.bot_bo7038385379056416535at_num) (ll_3947 BOUND_VARIABLE_324833 BOUND_VARIABLE_324834))))) (let ((_let_16024 (forall ((BOUND_VARIABLE_324797 tptp.set_nat) (BOUND_VARIABLE_324798 tptp.nat)) (= (ll_3946 BOUND_VARIABLE_324797 BOUND_VARIABLE_324798) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4286 BOUND_VARIABLE_324798) BOUND_VARIABLE_324797)))))) (let ((_let_16025 (forall ((BOUND_VARIABLE_324766 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324767 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324768 tptp.produc3843707927480180839at_nat)) (= (ll_3945 BOUND_VARIABLE_324766 BOUND_VARIABLE_324767 BOUND_VARIABLE_324768) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_324768)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4285 BOUND_VARIABLE_324766) BOUND_VARIABLE_324767)) tptp.top_top_set_o))))))) (let ((_let_16026 (forall ((BOUND_VARIABLE_324756 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_324757 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_324758 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_324758) BOUND_VARIABLE_324756) BOUND_VARIABLE_324757) (ll_3944 BOUND_VARIABLE_324756 BOUND_VARIABLE_324757 BOUND_VARIABLE_324758))))) (let ((_let_16027 (forall ((BOUND_VARIABLE_324740 tptp.set_nat) (BOUND_VARIABLE_324741 tptp.nat) (BOUND_VARIABLE_324742 Bool)) (= (ll_3943 BOUND_VARIABLE_324740 BOUND_VARIABLE_324741 BOUND_VARIABLE_324742) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_324742) BOUND_VARIABLE_324740) (@ (@ tptp.insert_nat BOUND_VARIABLE_324741) (@ tptp.collect_nat ll_1295))))))) (let ((_let_16028 (forall ((BOUND_VARIABLE_324724 tptp.set_nat) (BOUND_VARIABLE_324725 tptp.nat) (BOUND_VARIABLE_324726 Bool)) (= (ll_3942 BOUND_VARIABLE_324724 BOUND_VARIABLE_324725 BOUND_VARIABLE_324726) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_324726) BOUND_VARIABLE_324724) (@ (@ tptp.insert_nat BOUND_VARIABLE_324725) (@ tptp.collect_nat ll_1295))))))) (let ((_let_16029 (forall ((BOUND_VARIABLE_324708 tptp.set_nat) (BOUND_VARIABLE_324709 tptp.nat) (BOUND_VARIABLE_324710 Bool)) (= (ll_3941 BOUND_VARIABLE_324708 BOUND_VARIABLE_324709 BOUND_VARIABLE_324710) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_324710) BOUND_VARIABLE_324708) (@ (@ tptp.insert_nat BOUND_VARIABLE_324709) (@ tptp.collect_nat ll_1295))))))) (let ((_let_16030 (forall ((BOUND_VARIABLE_324686 tptp.nat) (BOUND_VARIABLE_324687 tptp.nat) (BOUND_VARIABLE_324688 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324689 Bool)) (= (ll_3940 BOUND_VARIABLE_324686 BOUND_VARIABLE_324687 BOUND_VARIABLE_324688 BOUND_VARIABLE_324689) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_324689) (@ (@ tptp.insert_nat BOUND_VARIABLE_324686) (@ (@ tptp.insert_nat BOUND_VARIABLE_324687) (@ tptp.collect_nat ll_1295)))) (@ tptp.field_nat BOUND_VARIABLE_324688)))))) (let ((_let_16031 (forall ((BOUND_VARIABLE_324664 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_324665 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_324666 tptp.set_Pr5564308138774400199at_nat) (BOUND_VARIABLE_324667 Bool)) (= (ll_3939 BOUND_VARIABLE_324664 BOUND_VARIABLE_324665 BOUND_VARIABLE_324666 BOUND_VARIABLE_324667) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_324667) (@ (@ tptp.insert9069300056098147895at_nat BOUND_VARIABLE_324664) (@ (@ tptp.insert9069300056098147895at_nat BOUND_VARIABLE_324665) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))) (@ tptp.field_2862844103579723188at_nat BOUND_VARIABLE_324666)))))) (let ((_let_16032 (forall ((BOUND_VARIABLE_324605 (-> tptp.int tptp.int)) (BOUND_VARIABLE_324606 (-> tptp.int tptp.int)) (BOUND_VARIABLE_324607 tptp.set_int) (BOUND_VARIABLE_324608 tptp.int)) (= (ll_3938 BOUND_VARIABLE_324605 BOUND_VARIABLE_324606 BOUND_VARIABLE_324607 BOUND_VARIABLE_324608) (@ tptp.collec213857154873943460nt_int (@ (@ (@ (@ ll_4284 BOUND_VARIABLE_324605) BOUND_VARIABLE_324606) BOUND_VARIABLE_324608) BOUND_VARIABLE_324607)))))) (let ((_let_16033 (forall ((BOUND_VARIABLE_324546 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_324547 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_324548 tptp.set_nat) (BOUND_VARIABLE_324549 tptp.int)) (= (ll_3937 BOUND_VARIABLE_324546 BOUND_VARIABLE_324547 BOUND_VARIABLE_324548 BOUND_VARIABLE_324549) (@ tptp.collec213857154873943460nt_int (@ (@ (@ (@ ll_4283 BOUND_VARIABLE_324546) BOUND_VARIABLE_324547) BOUND_VARIABLE_324549) BOUND_VARIABLE_324548)))))) (let ((_let_16034 (forall ((BOUND_VARIABLE_324495 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_324496 tptp.product_unit) (BOUND_VARIABLE_324497 tptp.set_Product_unit) (BOUND_VARIABLE_324498 tptp.set_nat) (BOUND_VARIABLE_324499 Bool)) (= (ll_3936 BOUND_VARIABLE_324495 BOUND_VARIABLE_324496 BOUND_VARIABLE_324497 BOUND_VARIABLE_324498 BOUND_VARIABLE_324499) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_324499) (@ tptp.collect_nat (@ (@ (@ ll_4282 BOUND_VARIABLE_324495) BOUND_VARIABLE_324497) BOUND_VARIABLE_324496))) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.member_Product_unit BOUND_VARIABLE_324496) BOUND_VARIABLE_324497)) BOUND_VARIABLE_324498) (@ tptp.collect_nat ll_1295))))))) (let ((_let_16035 (forall ((BOUND_VARIABLE_324444 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_324445 tptp.int) (BOUND_VARIABLE_324446 tptp.set_int) (BOUND_VARIABLE_324447 tptp.set_nat) (BOUND_VARIABLE_324448 Bool)) (= (ll_3935 BOUND_VARIABLE_324444 BOUND_VARIABLE_324445 BOUND_VARIABLE_324446 BOUND_VARIABLE_324447 BOUND_VARIABLE_324448) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_324448) (@ tptp.collect_nat (@ (@ (@ ll_4281 BOUND_VARIABLE_324444) BOUND_VARIABLE_324446) BOUND_VARIABLE_324445))) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.member_int BOUND_VARIABLE_324445) BOUND_VARIABLE_324446)) BOUND_VARIABLE_324447) (@ tptp.collect_nat ll_1295))))))) (let ((_let_16036 (forall ((BOUND_VARIABLE_324434 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_324435 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_324436 tptp.nat)) (= (@ (@ tptp.image_nat_int BOUND_VARIABLE_324434) (@ BOUND_VARIABLE_324435 BOUND_VARIABLE_324436)) (ll_3934 BOUND_VARIABLE_324434 BOUND_VARIABLE_324435 BOUND_VARIABLE_324436))))) (let ((_let_16037 (forall ((BOUND_VARIABLE_324424 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_324425 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_324426 Bool)) (= (@ (@ tptp.image_nat_int BOUND_VARIABLE_324424) (@ BOUND_VARIABLE_324425 BOUND_VARIABLE_324426)) (ll_3933 BOUND_VARIABLE_324424 BOUND_VARIABLE_324425 BOUND_VARIABLE_324426))))) (let ((_let_16038 (forall ((BOUND_VARIABLE_324414 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_324415 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_324416 tptp.int)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_324414) (@ BOUND_VARIABLE_324415 BOUND_VARIABLE_324416)) (ll_3932 BOUND_VARIABLE_324414 BOUND_VARIABLE_324415 BOUND_VARIABLE_324416))))) (let ((_let_16039 (forall ((BOUND_VARIABLE_324404 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_324405 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_324406 tptp.nat)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_324404) (@ BOUND_VARIABLE_324405 BOUND_VARIABLE_324406)) (ll_3931 BOUND_VARIABLE_324404 BOUND_VARIABLE_324405 BOUND_VARIABLE_324406))))) (let ((_let_16040 (forall ((BOUND_VARIABLE_324394 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_324395 (-> Bool tptp.set_int)) (BOUND_VARIABLE_324396 Bool)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_324394) (@ BOUND_VARIABLE_324395 BOUND_VARIABLE_324396)) (ll_3930 BOUND_VARIABLE_324394 BOUND_VARIABLE_324395 BOUND_VARIABLE_324396))))) (let ((_let_16041 (forall ((BOUND_VARIABLE_324384 (-> tptp.int tptp.int)) (BOUND_VARIABLE_324385 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_324386 tptp.int)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_324384) (@ BOUND_VARIABLE_324385 BOUND_VARIABLE_324386)) (ll_3929 BOUND_VARIABLE_324384 BOUND_VARIABLE_324385 BOUND_VARIABLE_324386))))) (let ((_let_16042 (forall ((BOUND_VARIABLE_324374 (-> tptp.int tptp.int)) (BOUND_VARIABLE_324375 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_324376 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_324374) (@ BOUND_VARIABLE_324375 BOUND_VARIABLE_324376)) (ll_3928 BOUND_VARIABLE_324374 BOUND_VARIABLE_324375 BOUND_VARIABLE_324376))))) (let ((_let_16043 (forall ((BOUND_VARIABLE_324364 (-> tptp.int tptp.int)) (BOUND_VARIABLE_324365 (-> Bool tptp.set_int)) (BOUND_VARIABLE_324366 Bool)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_324364) (@ BOUND_VARIABLE_324365 BOUND_VARIABLE_324366)) (ll_3927 BOUND_VARIABLE_324364 BOUND_VARIABLE_324365 BOUND_VARIABLE_324366))))) (let ((_let_16044 (forall ((BOUND_VARIABLE_324355 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_324355)) (@ (@ tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (ll_3926 BOUND_VARIABLE_324355))))) (let ((_let_16045 (forall ((BOUND_VARIABLE_324345 tptp.set_nat) (BOUND_VARIABLE_324346 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_324347 tptp.nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_324345) (@ BOUND_VARIABLE_324346 BOUND_VARIABLE_324347)) (ll_3925 BOUND_VARIABLE_324345 BOUND_VARIABLE_324346 BOUND_VARIABLE_324347))))) (let ((_let_16046 (forall ((BOUND_VARIABLE_324335 tptp.set_nat) (BOUND_VARIABLE_324336 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_324337 Bool)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_324335) (@ BOUND_VARIABLE_324336 BOUND_VARIABLE_324337)) (ll_3924 BOUND_VARIABLE_324335 BOUND_VARIABLE_324336 BOUND_VARIABLE_324337))))) (let ((_let_16047 (forall ((BOUND_VARIABLE_324325 tptp.set_nat) (BOUND_VARIABLE_324326 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_324327 tptp.product_prod_nat_nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_324325) (@ BOUND_VARIABLE_324326 BOUND_VARIABLE_324327)) (ll_3923 BOUND_VARIABLE_324325 BOUND_VARIABLE_324326 BOUND_VARIABLE_324327))))) (let ((_let_16048 (forall ((BOUND_VARIABLE_324315 tptp.set_nat) (BOUND_VARIABLE_324316 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_324317 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_324315) (@ BOUND_VARIABLE_324316 BOUND_VARIABLE_324317)) (ll_3922 BOUND_VARIABLE_324315 BOUND_VARIABLE_324316 BOUND_VARIABLE_324317))))) (let ((_let_16049 (forall ((BOUND_VARIABLE_324305 tptp.set_nat) (BOUND_VARIABLE_324306 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_324307 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_324305) (@ BOUND_VARIABLE_324306 BOUND_VARIABLE_324307)) (ll_3921 BOUND_VARIABLE_324305 BOUND_VARIABLE_324306 BOUND_VARIABLE_324307))))) (let ((_let_16050 (forall ((BOUND_VARIABLE_324295 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324296 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324297 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_324295) (@ BOUND_VARIABLE_324296 BOUND_VARIABLE_324297)) (ll_3920 BOUND_VARIABLE_324295 BOUND_VARIABLE_324296 BOUND_VARIABLE_324297))))) (let ((_let_16051 (forall ((BOUND_VARIABLE_324285 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324286 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324287 Bool)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_324285) (@ BOUND_VARIABLE_324286 BOUND_VARIABLE_324287)) (ll_3919 BOUND_VARIABLE_324285 BOUND_VARIABLE_324286 BOUND_VARIABLE_324287))))) (let ((_let_16052 (forall ((BOUND_VARIABLE_324275 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324276 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324277 tptp.product_prod_nat_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_324275) (@ BOUND_VARIABLE_324276 BOUND_VARIABLE_324277)) (ll_3918 BOUND_VARIABLE_324275 BOUND_VARIABLE_324276 BOUND_VARIABLE_324277))))) (let ((_let_16053 (forall ((BOUND_VARIABLE_324265 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324266 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324267 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_324265) (@ BOUND_VARIABLE_324266 BOUND_VARIABLE_324267)) (ll_3917 BOUND_VARIABLE_324265 BOUND_VARIABLE_324266 BOUND_VARIABLE_324267))))) (let ((_let_16054 (forall ((BOUND_VARIABLE_324255 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324256 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324257 tptp.product_unit)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_324255) (@ BOUND_VARIABLE_324256 BOUND_VARIABLE_324257)) (ll_3916 BOUND_VARIABLE_324255 BOUND_VARIABLE_324256 BOUND_VARIABLE_324257))))) (let ((_let_16055 (forall ((BOUND_VARIABLE_324246 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_324246)) (@ (@ tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (ll_3915 BOUND_VARIABLE_324246))))) (let ((_let_16056 (forall ((BOUND_VARIABLE_324236 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_324237 tptp.set_nat) (BOUND_VARIABLE_324238 tptp.nat)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_324236 BOUND_VARIABLE_324238)) BOUND_VARIABLE_324237) (ll_3914 BOUND_VARIABLE_324236 BOUND_VARIABLE_324237 BOUND_VARIABLE_324238))))) (let ((_let_16057 (forall ((BOUND_VARIABLE_324226 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_324227 tptp.set_nat) (BOUND_VARIABLE_324228 Bool)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_324226 BOUND_VARIABLE_324228)) BOUND_VARIABLE_324227) (ll_3913 BOUND_VARIABLE_324226 BOUND_VARIABLE_324227 BOUND_VARIABLE_324228))))) (let ((_let_16058 (forall ((BOUND_VARIABLE_324216 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_324217 tptp.set_nat) (BOUND_VARIABLE_324218 tptp.product_prod_nat_nat)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_324216 BOUND_VARIABLE_324218)) BOUND_VARIABLE_324217) (ll_3912 BOUND_VARIABLE_324216 BOUND_VARIABLE_324217 BOUND_VARIABLE_324218))))) (let ((_let_16059 (forall ((BOUND_VARIABLE_324206 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_324207 tptp.set_nat) (BOUND_VARIABLE_324208 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_324206 BOUND_VARIABLE_324208)) BOUND_VARIABLE_324207) (ll_3911 BOUND_VARIABLE_324206 BOUND_VARIABLE_324207 BOUND_VARIABLE_324208))))) (let ((_let_16060 (forall ((BOUND_VARIABLE_324196 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_324197 tptp.set_nat) (BOUND_VARIABLE_324198 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_324196 BOUND_VARIABLE_324198)) BOUND_VARIABLE_324197) (ll_3910 BOUND_VARIABLE_324196 BOUND_VARIABLE_324197 BOUND_VARIABLE_324198))))) (let ((_let_16061 (forall ((BOUND_VARIABLE_324186 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324187 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324188 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_324186 BOUND_VARIABLE_324188)) BOUND_VARIABLE_324187) (ll_3909 BOUND_VARIABLE_324186 BOUND_VARIABLE_324187 BOUND_VARIABLE_324188))))) (let ((_let_16062 (forall ((BOUND_VARIABLE_324176 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324177 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324178 Bool)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_324176 BOUND_VARIABLE_324178)) BOUND_VARIABLE_324177) (ll_3908 BOUND_VARIABLE_324176 BOUND_VARIABLE_324177 BOUND_VARIABLE_324178))))) (let ((_let_16063 (forall ((BOUND_VARIABLE_324166 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324167 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324168 tptp.product_prod_nat_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_324166 BOUND_VARIABLE_324168)) BOUND_VARIABLE_324167) (ll_3907 BOUND_VARIABLE_324166 BOUND_VARIABLE_324167 BOUND_VARIABLE_324168))))) (let ((_let_16064 (forall ((BOUND_VARIABLE_324156 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324157 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324158 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_324156 BOUND_VARIABLE_324158)) BOUND_VARIABLE_324157) (ll_3906 BOUND_VARIABLE_324156 BOUND_VARIABLE_324157 BOUND_VARIABLE_324158))))) (let ((_let_16065 (forall ((BOUND_VARIABLE_324146 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_324147 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_324148 tptp.product_unit)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_324146 BOUND_VARIABLE_324148)) BOUND_VARIABLE_324147) (ll_3905 BOUND_VARIABLE_324146 BOUND_VARIABLE_324147 BOUND_VARIABLE_324148))))) (let ((_let_16066 (forall ((BOUND_VARIABLE_324117 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324118 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_324119 Bool)) (= (ll_3904 BOUND_VARIABLE_324117 BOUND_VARIABLE_324118 BOUND_VARIABLE_324119) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_324119) BOUND_VARIABLE_324117) (@ tptp.collec6321179662152712658at_nat (@ ll_4280 BOUND_VARIABLE_324118))))))) (let ((_let_16067 (forall ((BOUND_VARIABLE_324085 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324086 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_324087 tptp.set_o) (BOUND_VARIABLE_324088 Bool)) (= (ll_3903 BOUND_VARIABLE_324085 BOUND_VARIABLE_324086 BOUND_VARIABLE_324087 BOUND_VARIABLE_324088) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_324088) BOUND_VARIABLE_324085) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4279 BOUND_VARIABLE_324086) BOUND_VARIABLE_324087))))))) (let ((_let_16068 (forall ((BOUND_VARIABLE_324047 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324048 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_324049 Bool)) (= (ll_3902 BOUND_VARIABLE_324047 BOUND_VARIABLE_324048 BOUND_VARIABLE_324049) (@ tptp.collec6321179662152712658at_nat (@ (@ (@ ll_4278 BOUND_VARIABLE_324047) BOUND_VARIABLE_324048) BOUND_VARIABLE_324049)))))) (let ((_let_16069 (forall ((BOUND_VARIABLE_324035 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_324036 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_324037 tptp.product_prod_nat_nat) (BOUND_VARIABLE_324038 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_324038) BOUND_VARIABLE_324035) (@ BOUND_VARIABLE_324036 BOUND_VARIABLE_324037)) (ll_3901 BOUND_VARIABLE_324035 BOUND_VARIABLE_324036 BOUND_VARIABLE_324037 BOUND_VARIABLE_324038))))) (let ((_let_16070 (forall ((BOUND_VARIABLE_324006 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_324007 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_324008 Bool)) (= (ll_3900 BOUND_VARIABLE_324006 BOUND_VARIABLE_324007 BOUND_VARIABLE_324008) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_324008) BOUND_VARIABLE_324006) (@ tptp.collec6321179662152712658at_nat (@ ll_4277 BOUND_VARIABLE_324007))))))) (let ((_let_16071 (forall ((BOUND_VARIABLE_323974 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323975 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323976 tptp.set_Product_unit) (BOUND_VARIABLE_323977 Bool)) (= (ll_3899 BOUND_VARIABLE_323974 BOUND_VARIABLE_323975 BOUND_VARIABLE_323976 BOUND_VARIABLE_323977) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_323977) BOUND_VARIABLE_323974) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4276 BOUND_VARIABLE_323975) BOUND_VARIABLE_323976))))))) (let ((_let_16072 (forall ((BOUND_VARIABLE_323936 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323937 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323938 tptp.product_unit)) (= (ll_3898 BOUND_VARIABLE_323936 BOUND_VARIABLE_323937 BOUND_VARIABLE_323938) (@ tptp.collec6321179662152712658at_nat (@ (@ (@ ll_4275 BOUND_VARIABLE_323936) BOUND_VARIABLE_323937) BOUND_VARIABLE_323938)))))) (let ((_let_16073 (forall ((BOUND_VARIABLE_323924 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323925 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323926 tptp.nat) (BOUND_VARIABLE_323927 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323927) BOUND_VARIABLE_323924) (@ BOUND_VARIABLE_323925 BOUND_VARIABLE_323926)) (ll_3897 BOUND_VARIABLE_323924 BOUND_VARIABLE_323925 BOUND_VARIABLE_323926 BOUND_VARIABLE_323927))))) (let ((_let_16074 (forall ((BOUND_VARIABLE_323912 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323913 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323914 Bool) (BOUND_VARIABLE_323915 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323915) BOUND_VARIABLE_323912) (@ BOUND_VARIABLE_323913 BOUND_VARIABLE_323914)) (ll_3896 BOUND_VARIABLE_323912 BOUND_VARIABLE_323913 BOUND_VARIABLE_323914 BOUND_VARIABLE_323915))))) (let ((_let_16075 (forall ((BOUND_VARIABLE_323900 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323901 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323902 tptp.product_unit) (BOUND_VARIABLE_323903 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323903) BOUND_VARIABLE_323900) (@ BOUND_VARIABLE_323901 BOUND_VARIABLE_323902)) (ll_3895 BOUND_VARIABLE_323900 BOUND_VARIABLE_323901 BOUND_VARIABLE_323902 BOUND_VARIABLE_323903))))) (let ((_let_16076 (forall ((BOUND_VARIABLE_323871 tptp.set_nat) (BOUND_VARIABLE_323872 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_323873 Bool)) (= (ll_3894 BOUND_VARIABLE_323871 BOUND_VARIABLE_323872 BOUND_VARIABLE_323873) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323873) BOUND_VARIABLE_323871) (@ tptp.collect_nat (@ ll_4274 BOUND_VARIABLE_323872))))))) (let ((_let_16077 (forall ((BOUND_VARIABLE_323839 tptp.set_nat) (BOUND_VARIABLE_323840 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_323841 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_323842 Bool)) (= (ll_3893 BOUND_VARIABLE_323839 BOUND_VARIABLE_323840 BOUND_VARIABLE_323841 BOUND_VARIABLE_323842) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323842) BOUND_VARIABLE_323839) (@ tptp.collect_nat (@ (@ ll_4273 BOUND_VARIABLE_323840) BOUND_VARIABLE_323841))))))) (let ((_let_16078 (forall ((BOUND_VARIABLE_323801 tptp.set_nat) (BOUND_VARIABLE_323802 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_323803 tptp.product_prod_nat_nat)) (= (ll_3892 BOUND_VARIABLE_323801 BOUND_VARIABLE_323802 BOUND_VARIABLE_323803) (@ tptp.collect_nat (@ (@ (@ ll_4272 BOUND_VARIABLE_323801) BOUND_VARIABLE_323802) BOUND_VARIABLE_323803)))))) (let ((_let_16079 (forall ((BOUND_VARIABLE_323772 tptp.set_nat) (BOUND_VARIABLE_323773 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_323774 Bool)) (= (ll_3891 BOUND_VARIABLE_323772 BOUND_VARIABLE_323773 BOUND_VARIABLE_323774) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323774) BOUND_VARIABLE_323772) (@ tptp.collect_nat (@ ll_4271 BOUND_VARIABLE_323773))))))) (let ((_let_16080 (forall ((BOUND_VARIABLE_323740 tptp.set_nat) (BOUND_VARIABLE_323741 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_323742 tptp.set_nat) (BOUND_VARIABLE_323743 Bool)) (= (ll_3890 BOUND_VARIABLE_323740 BOUND_VARIABLE_323741 BOUND_VARIABLE_323742 BOUND_VARIABLE_323743) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323743) BOUND_VARIABLE_323740) (@ tptp.collect_nat (@ (@ ll_4270 BOUND_VARIABLE_323741) BOUND_VARIABLE_323742))))))) (let ((_let_16081 (forall ((BOUND_VARIABLE_323703 tptp.set_nat) (BOUND_VARIABLE_323704 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_323705 tptp.nat)) (= (ll_3889 BOUND_VARIABLE_323703 BOUND_VARIABLE_323704 BOUND_VARIABLE_323705) (@ tptp.collect_nat (@ (@ (@ ll_4269 BOUND_VARIABLE_323703) BOUND_VARIABLE_323704) BOUND_VARIABLE_323705)))))) (let ((_let_16082 (forall ((BOUND_VARIABLE_323674 tptp.set_nat) (BOUND_VARIABLE_323675 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_323676 Bool)) (= (ll_3888 BOUND_VARIABLE_323674 BOUND_VARIABLE_323675 BOUND_VARIABLE_323676) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323676) BOUND_VARIABLE_323674) (@ tptp.collect_nat (@ ll_4268 BOUND_VARIABLE_323675))))))) (let ((_let_16083 (forall ((BOUND_VARIABLE_323642 tptp.set_nat) (BOUND_VARIABLE_323643 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_323644 tptp.set_o) (BOUND_VARIABLE_323645 Bool)) (= (ll_3887 BOUND_VARIABLE_323642 BOUND_VARIABLE_323643 BOUND_VARIABLE_323644 BOUND_VARIABLE_323645) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323645) BOUND_VARIABLE_323642) (@ tptp.collect_nat (@ (@ ll_4267 BOUND_VARIABLE_323643) BOUND_VARIABLE_323644))))))) (let ((_let_16084 (forall ((BOUND_VARIABLE_323605 tptp.set_nat) (BOUND_VARIABLE_323606 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_323607 Bool)) (= (ll_3886 BOUND_VARIABLE_323605 BOUND_VARIABLE_323606 BOUND_VARIABLE_323607) (@ tptp.collect_nat (@ (@ (@ ll_4266 BOUND_VARIABLE_323605) BOUND_VARIABLE_323606) BOUND_VARIABLE_323607)))))) (let ((_let_16085 (forall ((BOUND_VARIABLE_323576 tptp.set_nat) (BOUND_VARIABLE_323577 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_323578 Bool)) (= (ll_3885 BOUND_VARIABLE_323576 BOUND_VARIABLE_323577 BOUND_VARIABLE_323578) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323578) BOUND_VARIABLE_323576) (@ tptp.collect_nat (@ ll_4265 BOUND_VARIABLE_323577))))))) (let ((_let_16086 (forall ((BOUND_VARIABLE_323544 tptp.set_nat) (BOUND_VARIABLE_323545 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_323546 tptp.set_Product_unit) (BOUND_VARIABLE_323547 Bool)) (= (ll_3884 BOUND_VARIABLE_323544 BOUND_VARIABLE_323545 BOUND_VARIABLE_323546 BOUND_VARIABLE_323547) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323547) BOUND_VARIABLE_323544) (@ tptp.collect_nat (@ (@ ll_4264 BOUND_VARIABLE_323545) BOUND_VARIABLE_323546))))))) (let ((_let_16087 (forall ((BOUND_VARIABLE_323507 tptp.set_nat) (BOUND_VARIABLE_323508 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_323509 tptp.product_unit)) (= (ll_3883 BOUND_VARIABLE_323507 BOUND_VARIABLE_323508 BOUND_VARIABLE_323509) (@ tptp.collect_nat (@ (@ (@ ll_4263 BOUND_VARIABLE_323507) BOUND_VARIABLE_323508) BOUND_VARIABLE_323509)))))) (let ((_let_16088 (forall ((BOUND_VARIABLE_323477 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323478 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323479 Bool)) (= (ll_3882 BOUND_VARIABLE_323477 BOUND_VARIABLE_323478 BOUND_VARIABLE_323479) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_323479) (@ tptp.collec6321179662152712658at_nat (@ ll_4262 BOUND_VARIABLE_323477))) BOUND_VARIABLE_323478))))) (let ((_let_16089 (forall ((BOUND_VARIABLE_323444 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323445 tptp.set_o) (BOUND_VARIABLE_323446 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323447 Bool)) (= (ll_3881 BOUND_VARIABLE_323444 BOUND_VARIABLE_323445 BOUND_VARIABLE_323446 BOUND_VARIABLE_323447) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_323447) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4261 BOUND_VARIABLE_323444) BOUND_VARIABLE_323445))) BOUND_VARIABLE_323446))))) (let ((_let_16090 (forall ((BOUND_VARIABLE_323406 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323407 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323408 Bool)) (= (ll_3880 BOUND_VARIABLE_323406 BOUND_VARIABLE_323407 BOUND_VARIABLE_323408) (@ tptp.collec6321179662152712658at_nat (@ (@ (@ ll_4260 BOUND_VARIABLE_323406) BOUND_VARIABLE_323408) BOUND_VARIABLE_323407)))))) (let ((_let_16091 (forall ((BOUND_VARIABLE_323394 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323395 tptp.product_prod_nat_nat) (BOUND_VARIABLE_323396 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323397 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323397) (@ BOUND_VARIABLE_323394 BOUND_VARIABLE_323395)) BOUND_VARIABLE_323396) (ll_3879 BOUND_VARIABLE_323394 BOUND_VARIABLE_323395 BOUND_VARIABLE_323396 BOUND_VARIABLE_323397))))) (let ((_let_16092 (forall ((BOUND_VARIABLE_323364 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323365 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323366 Bool)) (= (ll_3878 BOUND_VARIABLE_323364 BOUND_VARIABLE_323365 BOUND_VARIABLE_323366) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_323366) (@ tptp.collec6321179662152712658at_nat (@ ll_4259 BOUND_VARIABLE_323364))) BOUND_VARIABLE_323365))))) (let ((_let_16093 (forall ((BOUND_VARIABLE_323331 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323332 tptp.set_Product_unit) (BOUND_VARIABLE_323333 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323334 Bool)) (= (ll_3877 BOUND_VARIABLE_323331 BOUND_VARIABLE_323332 BOUND_VARIABLE_323333 BOUND_VARIABLE_323334) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_323334) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4258 BOUND_VARIABLE_323331) BOUND_VARIABLE_323332))) BOUND_VARIABLE_323333))))) (let ((_let_16094 (forall ((BOUND_VARIABLE_323293 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_323294 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_323295 tptp.product_unit)) (= (ll_3876 BOUND_VARIABLE_323293 BOUND_VARIABLE_323294 BOUND_VARIABLE_323295) (@ tptp.collec6321179662152712658at_nat (@ (@ (@ ll_4257 BOUND_VARIABLE_323293) BOUND_VARIABLE_323295) BOUND_VARIABLE_323294)))))) (let ((_let_16095 (forall ((BOUND_VARIABLE_323281 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323282 tptp.nat) (BOUND_VARIABLE_323283 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323284 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323284) (@ BOUND_VARIABLE_323281 BOUND_VARIABLE_323282)) BOUND_VARIABLE_323283) (ll_3875 BOUND_VARIABLE_323281 BOUND_VARIABLE_323282 BOUND_VARIABLE_323283 BOUND_VARIABLE_323284))))) (let ((_let_16096 (forall ((BOUND_VARIABLE_323269 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323270 Bool) (BOUND_VARIABLE_323271 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323272 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323272) (@ BOUND_VARIABLE_323269 BOUND_VARIABLE_323270)) BOUND_VARIABLE_323271) (ll_3874 BOUND_VARIABLE_323269 BOUND_VARIABLE_323270 BOUND_VARIABLE_323271 BOUND_VARIABLE_323272))))) (let ((_let_16097 (forall ((BOUND_VARIABLE_323257 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_323258 tptp.product_unit) (BOUND_VARIABLE_323259 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_323260 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_323260) (@ BOUND_VARIABLE_323257 BOUND_VARIABLE_323258)) BOUND_VARIABLE_323259) (ll_3873 BOUND_VARIABLE_323257 BOUND_VARIABLE_323258 BOUND_VARIABLE_323259 BOUND_VARIABLE_323260))))) (let ((_let_16098 (forall ((BOUND_VARIABLE_323227 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_323228 tptp.set_nat) (BOUND_VARIABLE_323229 Bool)) (= (ll_3872 BOUND_VARIABLE_323227 BOUND_VARIABLE_323228 BOUND_VARIABLE_323229) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323229) (@ tptp.collect_nat (@ ll_4256 BOUND_VARIABLE_323227))) BOUND_VARIABLE_323228))))) (let ((_let_16099 (forall ((BOUND_VARIABLE_323194 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_323195 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_323196 tptp.set_nat) (BOUND_VARIABLE_323197 Bool)) (= (ll_3871 BOUND_VARIABLE_323194 BOUND_VARIABLE_323195 BOUND_VARIABLE_323196 BOUND_VARIABLE_323197) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323197) (@ tptp.collect_nat (@ (@ ll_4255 BOUND_VARIABLE_323194) BOUND_VARIABLE_323195))) BOUND_VARIABLE_323196))))) (let ((_let_16100 (forall ((BOUND_VARIABLE_323156 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_323157 tptp.set_nat) (BOUND_VARIABLE_323158 tptp.product_prod_nat_nat)) (= (ll_3870 BOUND_VARIABLE_323156 BOUND_VARIABLE_323157 BOUND_VARIABLE_323158) (@ tptp.collect_nat (@ (@ (@ ll_4254 BOUND_VARIABLE_323156) BOUND_VARIABLE_323158) BOUND_VARIABLE_323157)))))) (let ((_let_16101 (forall ((BOUND_VARIABLE_323126 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_323127 tptp.set_nat) (BOUND_VARIABLE_323128 Bool)) (= (ll_3869 BOUND_VARIABLE_323126 BOUND_VARIABLE_323127 BOUND_VARIABLE_323128) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323128) (@ tptp.collect_nat (@ ll_4253 BOUND_VARIABLE_323126))) BOUND_VARIABLE_323127))))) (let ((_let_16102 (forall ((BOUND_VARIABLE_323093 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_323094 tptp.set_nat) (BOUND_VARIABLE_323095 tptp.set_nat) (BOUND_VARIABLE_323096 Bool)) (= (ll_3868 BOUND_VARIABLE_323093 BOUND_VARIABLE_323094 BOUND_VARIABLE_323095 BOUND_VARIABLE_323096) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323096) (@ tptp.collect_nat (@ (@ ll_4252 BOUND_VARIABLE_323093) BOUND_VARIABLE_323094))) BOUND_VARIABLE_323095))))) (let ((_let_16103 (forall ((BOUND_VARIABLE_323056 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_323057 tptp.set_nat) (BOUND_VARIABLE_323058 tptp.nat)) (= (ll_3867 BOUND_VARIABLE_323056 BOUND_VARIABLE_323057 BOUND_VARIABLE_323058) (@ tptp.collect_nat (@ (@ (@ ll_4251 BOUND_VARIABLE_323056) BOUND_VARIABLE_323058) BOUND_VARIABLE_323057)))))) (let ((_let_16104 (forall ((BOUND_VARIABLE_323026 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_323027 tptp.set_nat) (BOUND_VARIABLE_323028 Bool)) (= (ll_3866 BOUND_VARIABLE_323026 BOUND_VARIABLE_323027 BOUND_VARIABLE_323028) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_323028) (@ tptp.collect_nat (@ ll_4250 BOUND_VARIABLE_323026))) BOUND_VARIABLE_323027))))) (let ((_let_16105 (forall ((BOUND_VARIABLE_322993 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322994 tptp.set_o) (BOUND_VARIABLE_322995 tptp.set_nat) (BOUND_VARIABLE_322996 Bool)) (= (ll_3865 BOUND_VARIABLE_322993 BOUND_VARIABLE_322994 BOUND_VARIABLE_322995 BOUND_VARIABLE_322996) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322996) (@ tptp.collect_nat (@ (@ ll_4249 BOUND_VARIABLE_322993) BOUND_VARIABLE_322994))) BOUND_VARIABLE_322995))))) (let ((_let_16106 (forall ((BOUND_VARIABLE_322956 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322957 tptp.set_nat) (BOUND_VARIABLE_322958 Bool)) (= (ll_3864 BOUND_VARIABLE_322956 BOUND_VARIABLE_322957 BOUND_VARIABLE_322958) (@ tptp.collect_nat (@ (@ (@ ll_4248 BOUND_VARIABLE_322956) BOUND_VARIABLE_322958) BOUND_VARIABLE_322957)))))) (let ((_let_16107 (forall ((BOUND_VARIABLE_322926 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322927 tptp.set_nat) (BOUND_VARIABLE_322928 Bool)) (= (ll_3863 BOUND_VARIABLE_322926 BOUND_VARIABLE_322927 BOUND_VARIABLE_322928) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322928) (@ tptp.collect_nat (@ ll_4247 BOUND_VARIABLE_322926))) BOUND_VARIABLE_322927))))) (let ((_let_16108 (forall ((BOUND_VARIABLE_322893 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322894 tptp.set_Product_unit) (BOUND_VARIABLE_322895 tptp.set_nat) (BOUND_VARIABLE_322896 Bool)) (= (ll_3862 BOUND_VARIABLE_322893 BOUND_VARIABLE_322894 BOUND_VARIABLE_322895 BOUND_VARIABLE_322896) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322896) (@ tptp.collect_nat (@ (@ ll_4246 BOUND_VARIABLE_322893) BOUND_VARIABLE_322894))) BOUND_VARIABLE_322895))))) (let ((_let_16109 (forall ((BOUND_VARIABLE_322856 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322857 tptp.set_nat) (BOUND_VARIABLE_322858 tptp.product_unit)) (= (ll_3861 BOUND_VARIABLE_322856 BOUND_VARIABLE_322857 BOUND_VARIABLE_322858) (@ tptp.collect_nat (@ (@ (@ ll_4245 BOUND_VARIABLE_322856) BOUND_VARIABLE_322858) BOUND_VARIABLE_322857)))))) (let ((_let_16110 (forall ((BOUND_VARIABLE_322846 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322847 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_322848 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_322846) (@ BOUND_VARIABLE_322847 BOUND_VARIABLE_322848)) (ll_3860 BOUND_VARIABLE_322846 BOUND_VARIABLE_322847 BOUND_VARIABLE_322848))))) (let ((_let_16111 (forall ((BOUND_VARIABLE_322836 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322837 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_322838 Bool)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_322836) (@ BOUND_VARIABLE_322837 BOUND_VARIABLE_322838)) (ll_3859 BOUND_VARIABLE_322836 BOUND_VARIABLE_322837 BOUND_VARIABLE_322838))))) (let ((_let_16112 (forall ((BOUND_VARIABLE_322826 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322827 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_322828 tptp.product_unit)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_322826) (@ BOUND_VARIABLE_322827 BOUND_VARIABLE_322828)) (ll_3858 BOUND_VARIABLE_322826 BOUND_VARIABLE_322827 BOUND_VARIABLE_322828))))) (let ((_let_16113 (forall ((BOUND_VARIABLE_322816 tptp.set_nat) (BOUND_VARIABLE_322817 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_322818 tptp.nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_322816) (@ BOUND_VARIABLE_322817 BOUND_VARIABLE_322818)) (ll_3857 BOUND_VARIABLE_322816 BOUND_VARIABLE_322817 BOUND_VARIABLE_322818))))) (let ((_let_16114 (forall ((BOUND_VARIABLE_322806 tptp.set_nat) (BOUND_VARIABLE_322807 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322808 Bool)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_322806) (@ BOUND_VARIABLE_322807 BOUND_VARIABLE_322808)) (ll_3856 BOUND_VARIABLE_322806 BOUND_VARIABLE_322807 BOUND_VARIABLE_322808))))) (let ((_let_16115 (forall ((BOUND_VARIABLE_322796 tptp.set_nat) (BOUND_VARIABLE_322797 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322798 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_322796) (@ BOUND_VARIABLE_322797 BOUND_VARIABLE_322798)) (ll_3855 BOUND_VARIABLE_322796 BOUND_VARIABLE_322797 BOUND_VARIABLE_322798))))) (let ((_let_16116 (forall ((BOUND_VARIABLE_322786 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_322787 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322788 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_322786 BOUND_VARIABLE_322788)) BOUND_VARIABLE_322787) (ll_3854 BOUND_VARIABLE_322786 BOUND_VARIABLE_322787 BOUND_VARIABLE_322788))))) (let ((_let_16117 (forall ((BOUND_VARIABLE_322776 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_322777 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322778 Bool)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_322776 BOUND_VARIABLE_322778)) BOUND_VARIABLE_322777) (ll_3853 BOUND_VARIABLE_322776 BOUND_VARIABLE_322777 BOUND_VARIABLE_322778))))) (let ((_let_16118 (forall ((BOUND_VARIABLE_322766 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_322767 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322768 tptp.product_unit)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ BOUND_VARIABLE_322766 BOUND_VARIABLE_322768)) BOUND_VARIABLE_322767) (ll_3852 BOUND_VARIABLE_322766 BOUND_VARIABLE_322767 BOUND_VARIABLE_322768))))) (let ((_let_16119 (forall ((BOUND_VARIABLE_322756 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_322757 tptp.set_nat) (BOUND_VARIABLE_322758 tptp.nat)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_322756 BOUND_VARIABLE_322758)) BOUND_VARIABLE_322757) (ll_3851 BOUND_VARIABLE_322756 BOUND_VARIABLE_322757 BOUND_VARIABLE_322758))))) (let ((_let_16120 (forall ((BOUND_VARIABLE_322746 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322747 tptp.set_nat) (BOUND_VARIABLE_322748 Bool)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_322746 BOUND_VARIABLE_322748)) BOUND_VARIABLE_322747) (ll_3850 BOUND_VARIABLE_322746 BOUND_VARIABLE_322747 BOUND_VARIABLE_322748))))) (let ((_let_16121 (forall ((BOUND_VARIABLE_322736 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322737 tptp.set_nat) (BOUND_VARIABLE_322738 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_322736 BOUND_VARIABLE_322738)) BOUND_VARIABLE_322737) (ll_3849 BOUND_VARIABLE_322736 BOUND_VARIABLE_322737 BOUND_VARIABLE_322738))))) (let ((_let_16122 (forall ((BOUND_VARIABLE_322703 tptp.product_prod_nat_nat) (BOUND_VARIABLE_322704 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_322705 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322706 Bool)) (= (ll_3848 BOUND_VARIABLE_322703 BOUND_VARIABLE_322704 BOUND_VARIABLE_322705 BOUND_VARIABLE_322706) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322706) (@ BOUND_VARIABLE_322704 BOUND_VARIABLE_322703)) (@ tptp.collect_nat (@ (@ ll_4244 BOUND_VARIABLE_322704) BOUND_VARIABLE_322705))))))) (let ((_let_16123 (forall ((BOUND_VARIABLE_322670 Bool) (BOUND_VARIABLE_322671 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322672 tptp.set_o) (BOUND_VARIABLE_322673 Bool)) (= (ll_3847 BOUND_VARIABLE_322670 BOUND_VARIABLE_322671 BOUND_VARIABLE_322672 BOUND_VARIABLE_322673) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322673) (@ BOUND_VARIABLE_322671 BOUND_VARIABLE_322670)) (@ tptp.collect_nat (@ (@ ll_4243 BOUND_VARIABLE_322671) BOUND_VARIABLE_322672))))))) (let ((_let_16124 (forall ((BOUND_VARIABLE_322637 tptp.product_unit) (BOUND_VARIABLE_322638 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322639 tptp.set_Product_unit) (BOUND_VARIABLE_322640 Bool)) (= (ll_3846 BOUND_VARIABLE_322637 BOUND_VARIABLE_322638 BOUND_VARIABLE_322639 BOUND_VARIABLE_322640) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322640) (@ BOUND_VARIABLE_322638 BOUND_VARIABLE_322637)) (@ tptp.collect_nat (@ (@ ll_4242 BOUND_VARIABLE_322638) BOUND_VARIABLE_322639))))))) (let ((_let_16125 (forall ((BOUND_VARIABLE_322604 tptp.nat) (BOUND_VARIABLE_322605 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_322606 tptp.set_nat) (BOUND_VARIABLE_322607 Bool)) (= (ll_3845 BOUND_VARIABLE_322604 BOUND_VARIABLE_322605 BOUND_VARIABLE_322606 BOUND_VARIABLE_322607) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322607) (@ BOUND_VARIABLE_322605 BOUND_VARIABLE_322604)) (@ tptp.collect_nat (@ (@ ll_4241 BOUND_VARIABLE_322605) BOUND_VARIABLE_322606))))))) (let ((_let_16126 (forall ((BOUND_VARIABLE_322571 tptp.product_unit) (BOUND_VARIABLE_322572 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_322573 tptp.set_Product_unit) (BOUND_VARIABLE_322574 Bool)) (= (ll_3844 BOUND_VARIABLE_322571 BOUND_VARIABLE_322572 BOUND_VARIABLE_322573 BOUND_VARIABLE_322574) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322574) (@ BOUND_VARIABLE_322572 BOUND_VARIABLE_322571)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4240 BOUND_VARIABLE_322572) BOUND_VARIABLE_322573))))))) (let ((_let_16127 (forall ((BOUND_VARIABLE_322538 tptp.nat) (BOUND_VARIABLE_322539 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_322540 tptp.set_nat) (BOUND_VARIABLE_322541 Bool)) (= (ll_3843 BOUND_VARIABLE_322538 BOUND_VARIABLE_322539 BOUND_VARIABLE_322540 BOUND_VARIABLE_322541) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322541) (@ BOUND_VARIABLE_322539 BOUND_VARIABLE_322538)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4239 BOUND_VARIABLE_322539) BOUND_VARIABLE_322540))))))) (let ((_let_16128 (forall ((BOUND_VARIABLE_322505 tptp.product_prod_nat_nat) (BOUND_VARIABLE_322506 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_322507 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322508 Bool)) (= (ll_3842 BOUND_VARIABLE_322505 BOUND_VARIABLE_322506 BOUND_VARIABLE_322507 BOUND_VARIABLE_322508) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322508) (@ BOUND_VARIABLE_322506 BOUND_VARIABLE_322505)) (@ tptp.collect_nat (@ (@ ll_4238 BOUND_VARIABLE_322506) BOUND_VARIABLE_322507))))))) (let ((_let_16129 (forall ((BOUND_VARIABLE_322472 Bool) (BOUND_VARIABLE_322473 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322474 tptp.set_o) (BOUND_VARIABLE_322475 Bool)) (= (ll_3841 BOUND_VARIABLE_322472 BOUND_VARIABLE_322473 BOUND_VARIABLE_322474 BOUND_VARIABLE_322475) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322475) (@ BOUND_VARIABLE_322473 BOUND_VARIABLE_322472)) (@ tptp.collect_nat (@ (@ ll_4237 BOUND_VARIABLE_322473) BOUND_VARIABLE_322474))))))) (let ((_let_16130 (forall ((BOUND_VARIABLE_322439 tptp.product_unit) (BOUND_VARIABLE_322440 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322441 tptp.set_Product_unit) (BOUND_VARIABLE_322442 Bool)) (= (ll_3840 BOUND_VARIABLE_322439 BOUND_VARIABLE_322440 BOUND_VARIABLE_322441 BOUND_VARIABLE_322442) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322442) (@ BOUND_VARIABLE_322440 BOUND_VARIABLE_322439)) (@ tptp.collect_nat (@ (@ ll_4236 BOUND_VARIABLE_322440) BOUND_VARIABLE_322441))))))) (let ((_let_16131 (forall ((BOUND_VARIABLE_322406 tptp.nat) (BOUND_VARIABLE_322407 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_322408 tptp.set_nat) (BOUND_VARIABLE_322409 Bool)) (= (ll_3839 BOUND_VARIABLE_322406 BOUND_VARIABLE_322407 BOUND_VARIABLE_322408 BOUND_VARIABLE_322409) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322409) (@ BOUND_VARIABLE_322407 BOUND_VARIABLE_322406)) (@ tptp.collect_nat (@ (@ ll_4235 BOUND_VARIABLE_322407) BOUND_VARIABLE_322408))))))) (let ((_let_16132 (forall ((BOUND_VARIABLE_322377 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_322378 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_322379 Bool)) (= (ll_3838 BOUND_VARIABLE_322377 BOUND_VARIABLE_322378 BOUND_VARIABLE_322379) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322379) BOUND_VARIABLE_322377) (@ tptp.collec6321179662152712658at_nat (@ ll_4234 BOUND_VARIABLE_322378))))))) (let ((_let_16133 (forall ((BOUND_VARIABLE_322348 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_322349 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_322350 Bool)) (= (ll_3837 BOUND_VARIABLE_322348 BOUND_VARIABLE_322349 BOUND_VARIABLE_322350) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322350) BOUND_VARIABLE_322348) (@ tptp.collec6321179662152712658at_nat (@ ll_4233 BOUND_VARIABLE_322349))))))) (let ((_let_16134 (forall ((BOUND_VARIABLE_322319 tptp.set_nat) (BOUND_VARIABLE_322320 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_322321 Bool)) (= (ll_3836 BOUND_VARIABLE_322319 BOUND_VARIABLE_322320 BOUND_VARIABLE_322321) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322321) BOUND_VARIABLE_322319) (@ tptp.collect_nat (@ ll_4232 BOUND_VARIABLE_322320))))))) (let ((_let_16135 (forall ((BOUND_VARIABLE_322290 tptp.set_nat) (BOUND_VARIABLE_322291 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_322292 Bool)) (= (ll_3835 BOUND_VARIABLE_322290 BOUND_VARIABLE_322291 BOUND_VARIABLE_322292) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322292) BOUND_VARIABLE_322290) (@ tptp.collect_nat (@ ll_4231 BOUND_VARIABLE_322291))))))) (let ((_let_16136 (forall ((BOUND_VARIABLE_322261 tptp.set_nat) (BOUND_VARIABLE_322262 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_322263 Bool)) (= (ll_3834 BOUND_VARIABLE_322261 BOUND_VARIABLE_322262 BOUND_VARIABLE_322263) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322263) BOUND_VARIABLE_322261) (@ tptp.collect_nat (@ ll_4230 BOUND_VARIABLE_322262))))))) (let ((_let_16137 (forall ((BOUND_VARIABLE_322232 tptp.set_nat) (BOUND_VARIABLE_322233 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_322234 Bool)) (= (ll_3833 BOUND_VARIABLE_322232 BOUND_VARIABLE_322233 BOUND_VARIABLE_322234) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322234) BOUND_VARIABLE_322232) (@ tptp.collect_nat (@ ll_4229 BOUND_VARIABLE_322233))))))) (let ((_let_16138 (forall ((BOUND_VARIABLE_322224 tptp.set_nat) (BOUND_VARIABLE_322225 tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_322225) BOUND_VARIABLE_322224) (ll_3832 BOUND_VARIABLE_322224 BOUND_VARIABLE_322225))))) (let ((_let_16139 (forall ((BOUND_VARIABLE_322216 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322217 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_322217) BOUND_VARIABLE_322216) (ll_3831 BOUND_VARIABLE_322216 BOUND_VARIABLE_322217))))) (let ((_let_16140 (forall ((BOUND_VARIABLE_322191 tptp.set_nat) (BOUND_VARIABLE_322192 tptp.set_set_nat) (BOUND_VARIABLE_322193 Bool)) (= (ll_3830 BOUND_VARIABLE_322191 BOUND_VARIABLE_322192 BOUND_VARIABLE_322193) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_322193) BOUND_VARIABLE_322191) (@ tptp.collect_nat (@ ll_4228 BOUND_VARIABLE_322192))))))) (let ((_let_16141 (forall ((BOUND_VARIABLE_322159 tptp.set_nat) (BOUND_VARIABLE_322160 tptp.set_nat)) (= (ll_3829 BOUND_VARIABLE_322159 BOUND_VARIABLE_322160) (@ tptp.collect_nat (@ (@ ll_4227 BOUND_VARIABLE_322159) BOUND_VARIABLE_322160)))))) (let ((_let_16142 (forall ((BOUND_VARIABLE_322134 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_322135 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_322136 Bool)) (= (ll_3828 BOUND_VARIABLE_322134 BOUND_VARIABLE_322135 BOUND_VARIABLE_322136) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322136) BOUND_VARIABLE_322134) (@ tptp.collec6321179662152712658at_nat (@ ll_4226 BOUND_VARIABLE_322135))))))) (let ((_let_16143 (forall ((BOUND_VARIABLE_322102 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_322103 tptp.set_Pr4329608150637261639at_nat)) (= (ll_3827 BOUND_VARIABLE_322102 BOUND_VARIABLE_322103) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4225 BOUND_VARIABLE_322102) BOUND_VARIABLE_322103)))))) (let ((_let_16144 (forall ((BOUND_VARIABLE_322092 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_322093 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_322094 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_322094) BOUND_VARIABLE_322092) BOUND_VARIABLE_322093) (ll_3826 BOUND_VARIABLE_322092 BOUND_VARIABLE_322093 BOUND_VARIABLE_322094))))) (let ((_let_16145 (forall ((BOUND_VARIABLE_322084 tptp.set_nat) (BOUND_VARIABLE_322085 tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_322085) BOUND_VARIABLE_322084) (ll_3825 BOUND_VARIABLE_322084 BOUND_VARIABLE_322085))))) (let ((_let_16146 (forall ((BOUND_VARIABLE_322076 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_322077 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_322077) BOUND_VARIABLE_322076) (ll_3824 BOUND_VARIABLE_322076 BOUND_VARIABLE_322077))))) (let ((_let_16147 (forall ((BOUND_VARIABLE_322043 tptp.nat) (BOUND_VARIABLE_322044 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_322045 tptp.set_nat) (BOUND_VARIABLE_322046 Bool)) (= (ll_3823 BOUND_VARIABLE_322043 BOUND_VARIABLE_322044 BOUND_VARIABLE_322045 BOUND_VARIABLE_322046) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322046) (@ BOUND_VARIABLE_322044 BOUND_VARIABLE_322043)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4224 BOUND_VARIABLE_322044) BOUND_VARIABLE_322045))))))) (let ((_let_16148 (forall ((BOUND_VARIABLE_322010 Bool) (BOUND_VARIABLE_322011 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_322012 tptp.set_o) (BOUND_VARIABLE_322013 Bool)) (= (ll_3822 BOUND_VARIABLE_322010 BOUND_VARIABLE_322011 BOUND_VARIABLE_322012 BOUND_VARIABLE_322013) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_322013) (@ BOUND_VARIABLE_322011 BOUND_VARIABLE_322010)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4223 BOUND_VARIABLE_322011) BOUND_VARIABLE_322012))))))) (let ((_let_16149 (forall ((BOUND_VARIABLE_321977 tptp.product_prod_nat_nat) (BOUND_VARIABLE_321978 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_321979 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_321980 Bool)) (= (ll_3821 BOUND_VARIABLE_321977 BOUND_VARIABLE_321978 BOUND_VARIABLE_321979 BOUND_VARIABLE_321980) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321980) (@ BOUND_VARIABLE_321978 BOUND_VARIABLE_321977)) (@ tptp.collect_nat (@ (@ ll_4222 BOUND_VARIABLE_321978) BOUND_VARIABLE_321979))))))) (let ((_let_16150 (forall ((BOUND_VARIABLE_321944 tptp.int) (BOUND_VARIABLE_321945 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_321946 tptp.set_int) (BOUND_VARIABLE_321947 Bool)) (= (ll_3820 BOUND_VARIABLE_321944 BOUND_VARIABLE_321945 BOUND_VARIABLE_321946 BOUND_VARIABLE_321947) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321947) (@ BOUND_VARIABLE_321945 BOUND_VARIABLE_321944)) (@ tptp.collect_nat (@ (@ ll_4221 BOUND_VARIABLE_321945) BOUND_VARIABLE_321946))))))) (let ((_let_16151 (forall ((BOUND_VARIABLE_321911 tptp.nat) (BOUND_VARIABLE_321912 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_321913 tptp.set_nat) (BOUND_VARIABLE_321914 Bool)) (= (ll_3819 BOUND_VARIABLE_321911 BOUND_VARIABLE_321912 BOUND_VARIABLE_321913 BOUND_VARIABLE_321914) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321914) (@ BOUND_VARIABLE_321912 BOUND_VARIABLE_321911)) (@ tptp.collect_nat (@ (@ ll_4220 BOUND_VARIABLE_321912) BOUND_VARIABLE_321913))))))) (let ((_let_16152 (forall ((BOUND_VARIABLE_321878 Bool) (BOUND_VARIABLE_321879 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_321880 tptp.set_o) (BOUND_VARIABLE_321881 Bool)) (= (ll_3818 BOUND_VARIABLE_321878 BOUND_VARIABLE_321879 BOUND_VARIABLE_321880 BOUND_VARIABLE_321881) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321881) (@ BOUND_VARIABLE_321879 BOUND_VARIABLE_321878)) (@ tptp.collect_nat (@ (@ ll_4219 BOUND_VARIABLE_321879) BOUND_VARIABLE_321880))))))) (let ((_let_16153 (forall ((BOUND_VARIABLE_321852 tptp.set_set_nat) (BOUND_VARIABLE_321853 tptp.set_nat) (BOUND_VARIABLE_321854 Bool)) (= (ll_3817 BOUND_VARIABLE_321852 BOUND_VARIABLE_321853 BOUND_VARIABLE_321854) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321854) (@ tptp.collect_nat (@ ll_4218 BOUND_VARIABLE_321852))) BOUND_VARIABLE_321853))))) (let ((_let_16154 (forall ((BOUND_VARIABLE_321820 tptp.set_nat) (BOUND_VARIABLE_321821 tptp.set_nat)) (= (ll_3816 BOUND_VARIABLE_321820 BOUND_VARIABLE_321821) (@ tptp.collect_nat (@ (@ ll_4217 BOUND_VARIABLE_321821) BOUND_VARIABLE_321820)))))) (let ((_let_16155 (forall ((BOUND_VARIABLE_321794 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_321795 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321796 Bool)) (= (ll_3815 BOUND_VARIABLE_321794 BOUND_VARIABLE_321795 BOUND_VARIABLE_321796) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321796) (@ tptp.collec6321179662152712658at_nat (@ ll_4216 BOUND_VARIABLE_321794))) BOUND_VARIABLE_321795))))) (let ((_let_16156 (forall ((BOUND_VARIABLE_321762 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321763 tptp.set_Pr4329608150637261639at_nat)) (= (ll_3814 BOUND_VARIABLE_321762 BOUND_VARIABLE_321763) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4215 BOUND_VARIABLE_321763) BOUND_VARIABLE_321762)))))) (let ((_let_16157 (forall ((BOUND_VARIABLE_321752 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321753 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321754 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_321754) BOUND_VARIABLE_321752) BOUND_VARIABLE_321753) (ll_3813 BOUND_VARIABLE_321752 BOUND_VARIABLE_321753 BOUND_VARIABLE_321754))))) (let ((_let_16158 (forall ((BOUND_VARIABLE_321744 tptp.set_nat) (BOUND_VARIABLE_321745 tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_321745) BOUND_VARIABLE_321744) (ll_3812 BOUND_VARIABLE_321744 BOUND_VARIABLE_321745))))) (let ((_let_16159 (forall ((BOUND_VARIABLE_321736 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_321737 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_321737) BOUND_VARIABLE_321736) (ll_3811 BOUND_VARIABLE_321736 BOUND_VARIABLE_321737))))) (let ((_let_16160 (forall ((BOUND_VARIABLE_321703 tptp.product_prod_nat_nat) (BOUND_VARIABLE_321704 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_321705 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_321706 Bool)) (= (ll_3810 BOUND_VARIABLE_321703 BOUND_VARIABLE_321704 BOUND_VARIABLE_321705 BOUND_VARIABLE_321706) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321706) (@ BOUND_VARIABLE_321704 BOUND_VARIABLE_321703)) (@ tptp.collect_nat (@ (@ ll_4214 BOUND_VARIABLE_321704) BOUND_VARIABLE_321705))))))) (let ((_let_16161 (forall ((BOUND_VARIABLE_321670 tptp.int) (BOUND_VARIABLE_321671 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_321672 tptp.set_int) (BOUND_VARIABLE_321673 Bool)) (= (ll_3809 BOUND_VARIABLE_321670 BOUND_VARIABLE_321671 BOUND_VARIABLE_321672 BOUND_VARIABLE_321673) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321673) (@ BOUND_VARIABLE_321671 BOUND_VARIABLE_321670)) (@ tptp.collect_nat (@ (@ ll_4213 BOUND_VARIABLE_321671) BOUND_VARIABLE_321672))))))) (let ((_let_16162 (forall ((BOUND_VARIABLE_321637 tptp.nat) (BOUND_VARIABLE_321638 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_321639 tptp.set_nat) (BOUND_VARIABLE_321640 Bool)) (= (ll_3808 BOUND_VARIABLE_321637 BOUND_VARIABLE_321638 BOUND_VARIABLE_321639 BOUND_VARIABLE_321640) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321640) (@ BOUND_VARIABLE_321638 BOUND_VARIABLE_321637)) (@ tptp.collect_nat (@ (@ ll_4212 BOUND_VARIABLE_321638) BOUND_VARIABLE_321639))))))) (let ((_let_16163 (forall ((BOUND_VARIABLE_321604 Bool) (BOUND_VARIABLE_321605 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_321606 tptp.set_o) (BOUND_VARIABLE_321607 Bool)) (= (ll_3807 BOUND_VARIABLE_321604 BOUND_VARIABLE_321605 BOUND_VARIABLE_321606 BOUND_VARIABLE_321607) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321607) (@ BOUND_VARIABLE_321605 BOUND_VARIABLE_321604)) (@ tptp.collect_nat (@ (@ ll_4211 BOUND_VARIABLE_321605) BOUND_VARIABLE_321606))))))) (let ((_let_16164 (forall ((BOUND_VARIABLE_321571 tptp.product_prod_nat_nat) (BOUND_VARIABLE_321572 tptp.nat) (BOUND_VARIABLE_321573 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_321571)))) (let ((_let_2 (@ tptp.times_times_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_321571)))) (= (ll_3806 BOUND_VARIABLE_321571 BOUND_VARIABLE_321572 BOUND_VARIABLE_321573) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_321572)) (@ _let_1 BOUND_VARIABLE_321573))) (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_321573)) (@ _let_1 BOUND_VARIABLE_321572))))))))) (let ((_let_16165 (forall ((BOUND_VARIABLE_321546 tptp.set_nat) (BOUND_VARIABLE_321547 tptp.set_set_nat) (BOUND_VARIABLE_321548 Bool)) (= (ll_3805 BOUND_VARIABLE_321546 BOUND_VARIABLE_321547 BOUND_VARIABLE_321548) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321548) BOUND_VARIABLE_321546) (@ tptp.collect_nat (@ ll_4210 BOUND_VARIABLE_321547))))))) (let ((_let_16166 (forall ((BOUND_VARIABLE_321514 tptp.set_nat) (BOUND_VARIABLE_321515 tptp.set_nat)) (= (ll_3804 BOUND_VARIABLE_321514 BOUND_VARIABLE_321515) (@ tptp.collect_nat (@ (@ ll_4209 BOUND_VARIABLE_321514) BOUND_VARIABLE_321515)))))) (let ((_let_16167 (forall ((BOUND_VARIABLE_321489 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321490 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_321491 Bool)) (= (ll_3803 BOUND_VARIABLE_321489 BOUND_VARIABLE_321490 BOUND_VARIABLE_321491) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321491) BOUND_VARIABLE_321489) (@ tptp.collec6321179662152712658at_nat (@ ll_4208 BOUND_VARIABLE_321490))))))) (let ((_let_16168 (forall ((BOUND_VARIABLE_321457 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321458 tptp.set_Pr4329608150637261639at_nat)) (= (ll_3802 BOUND_VARIABLE_321457 BOUND_VARIABLE_321458) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4207 BOUND_VARIABLE_321457) BOUND_VARIABLE_321458)))))) (let ((_let_16169 (forall ((BOUND_VARIABLE_321447 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321448 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321449 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_321449) BOUND_VARIABLE_321447) BOUND_VARIABLE_321448) (ll_3801 BOUND_VARIABLE_321447 BOUND_VARIABLE_321448 BOUND_VARIABLE_321449))))) (let ((_let_16170 (forall ((BOUND_VARIABLE_321414 tptp.product_unit) (BOUND_VARIABLE_321415 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321416 tptp.set_Product_unit) (BOUND_VARIABLE_321417 Bool)) (= (ll_3800 BOUND_VARIABLE_321414 BOUND_VARIABLE_321415 BOUND_VARIABLE_321416 BOUND_VARIABLE_321417) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321417) (@ BOUND_VARIABLE_321415 BOUND_VARIABLE_321414)) (@ tptp.collect_nat (@ (@ ll_4206 BOUND_VARIABLE_321415) BOUND_VARIABLE_321416))))))) (let ((_let_16171 (forall ((BOUND_VARIABLE_321403 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321404 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321405 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_321403 BOUND_VARIABLE_321405)) (@ BOUND_VARIABLE_321404 BOUND_VARIABLE_321405)) (ll_3799 BOUND_VARIABLE_321403 BOUND_VARIABLE_321404 BOUND_VARIABLE_321405))))) (let ((_let_16172 (forall ((BOUND_VARIABLE_321352 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321353 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321354 tptp.set_Product_unit) (BOUND_VARIABLE_321355 Bool)) (= (ll_3798 BOUND_VARIABLE_321352 BOUND_VARIABLE_321353 BOUND_VARIABLE_321354 BOUND_VARIABLE_321355) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321355) (@ tptp.collect_nat (@ (@ ll_4205 BOUND_VARIABLE_321352) BOUND_VARIABLE_321354))) (@ tptp.collect_nat (@ (@ ll_4204 BOUND_VARIABLE_321353) BOUND_VARIABLE_321354))))))) (let ((_let_16173 (forall ((BOUND_VARIABLE_321312 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321313 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_321314 tptp.product_unit)) (= (ll_3797 BOUND_VARIABLE_321312 BOUND_VARIABLE_321313 BOUND_VARIABLE_321314) (@ tptp.collect_nat (@ (@ (@ ll_4203 BOUND_VARIABLE_321312) BOUND_VARIABLE_321313) BOUND_VARIABLE_321314)))))) (let ((_let_16174 (forall ((BOUND_VARIABLE_321301 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_321302 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321302) (@ BOUND_VARIABLE_321301 true)) (@ BOUND_VARIABLE_321301 false)) (ll_3796 BOUND_VARIABLE_321301 BOUND_VARIABLE_321302))))) (let ((_let_16175 (forall ((BOUND_VARIABLE_321290 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_321291 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321291) (@ BOUND_VARIABLE_321290 true)) (@ BOUND_VARIABLE_321290 false)) (ll_3795 BOUND_VARIABLE_321290 BOUND_VARIABLE_321291))))) (let ((_let_16176 (forall ((BOUND_VARIABLE_321279 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_321280 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321280) (@ BOUND_VARIABLE_321279 true)) (@ BOUND_VARIABLE_321279 false)) (ll_3794 BOUND_VARIABLE_321279 BOUND_VARIABLE_321280))))) (let ((_let_16177 (forall ((BOUND_VARIABLE_321268 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_321269 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321269) (@ BOUND_VARIABLE_321268 true)) (@ BOUND_VARIABLE_321268 false)) (ll_3793 BOUND_VARIABLE_321268 BOUND_VARIABLE_321269))))) (let ((_let_16178 (forall ((BOUND_VARIABLE_321237 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321238 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321239 tptp.produc3843707927480180839at_nat)) (= (ll_3792 BOUND_VARIABLE_321237 BOUND_VARIABLE_321238 BOUND_VARIABLE_321239) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_321239)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4202 BOUND_VARIABLE_321237) BOUND_VARIABLE_321238)) tptp.top_top_set_o))))))) (let ((_let_16179 (forall ((BOUND_VARIABLE_321227 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321228 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321229 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_321229) BOUND_VARIABLE_321227) BOUND_VARIABLE_321228) (ll_3791 BOUND_VARIABLE_321227 BOUND_VARIABLE_321228 BOUND_VARIABLE_321229))))) (let ((_let_16180 (forall ((BOUND_VARIABLE_321196 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321197 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321198 tptp.produc3843707927480180839at_nat)) (= (ll_3790 BOUND_VARIABLE_321196 BOUND_VARIABLE_321197 BOUND_VARIABLE_321198) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_321198)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4201 BOUND_VARIABLE_321196) BOUND_VARIABLE_321197)) tptp.top_top_set_o))))))) (let ((_let_16181 (forall ((BOUND_VARIABLE_321186 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321187 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321188 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_321188) BOUND_VARIABLE_321186) BOUND_VARIABLE_321187) (ll_3789 BOUND_VARIABLE_321186 BOUND_VARIABLE_321187 BOUND_VARIABLE_321188))))) (let ((_let_16182 (forall ((BOUND_VARIABLE_321176 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321177 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321178 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321178) BOUND_VARIABLE_321176) BOUND_VARIABLE_321177) (ll_3788 BOUND_VARIABLE_321176 BOUND_VARIABLE_321177 BOUND_VARIABLE_321178))))) (let ((_let_16183 (forall ((BOUND_VARIABLE_321162 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321163 (-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_321164 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321165 Bool)) (let ((_let_1 (@ tptp.image_960689587819713477at_nat BOUND_VARIABLE_321163))) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321165) (@ _let_1 BOUND_VARIABLE_321162)) (@ _let_1 BOUND_VARIABLE_321164)) (ll_3787 BOUND_VARIABLE_321162 BOUND_VARIABLE_321163 BOUND_VARIABLE_321164 BOUND_VARIABLE_321165)))))) (let ((_let_16184 (forall ((BOUND_VARIABLE_321152 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321153 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321154 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321154) BOUND_VARIABLE_321152) BOUND_VARIABLE_321153) (ll_3786 BOUND_VARIABLE_321152 BOUND_VARIABLE_321153 BOUND_VARIABLE_321154))))) (let ((_let_16185 (forall ((BOUND_VARIABLE_321138 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321139 (-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_321140 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321141 Bool)) (let ((_let_1 (@ tptp.image_7637461350386011077at_nat BOUND_VARIABLE_321139))) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_321141) (@ _let_1 BOUND_VARIABLE_321138)) (@ _let_1 BOUND_VARIABLE_321140)) (ll_3785 BOUND_VARIABLE_321138 BOUND_VARIABLE_321139 BOUND_VARIABLE_321140 BOUND_VARIABLE_321141)))))) (let ((_let_16186 (forall ((BOUND_VARIABLE_321124 tptp.set_int) (BOUND_VARIABLE_321125 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_321126 tptp.set_int) (BOUND_VARIABLE_321127 Bool)) (let ((_let_1 (@ tptp.image_int_nat BOUND_VARIABLE_321125))) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321127) (@ _let_1 BOUND_VARIABLE_321124)) (@ _let_1 BOUND_VARIABLE_321126)) (ll_3784 BOUND_VARIABLE_321124 BOUND_VARIABLE_321125 BOUND_VARIABLE_321126 BOUND_VARIABLE_321127)))))) (let ((_let_16187 (forall ((BOUND_VARIABLE_321114 tptp.set_nat) (BOUND_VARIABLE_321115 tptp.set_nat) (BOUND_VARIABLE_321116 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321116) BOUND_VARIABLE_321114) BOUND_VARIABLE_321115) (ll_3783 BOUND_VARIABLE_321114 BOUND_VARIABLE_321115 BOUND_VARIABLE_321116))))) (let ((_let_16188 (forall ((BOUND_VARIABLE_321104 tptp.set_nat) (BOUND_VARIABLE_321105 tptp.set_nat) (BOUND_VARIABLE_321106 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321106) BOUND_VARIABLE_321104) BOUND_VARIABLE_321105) (ll_3782 BOUND_VARIABLE_321104 BOUND_VARIABLE_321105 BOUND_VARIABLE_321106))))) (let ((_let_16189 (forall ((BOUND_VARIABLE_321090 tptp.set_nat) (BOUND_VARIABLE_321091 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_321092 tptp.set_nat) (BOUND_VARIABLE_321093 Bool)) (let ((_let_1 (@ tptp.image_nat_nat BOUND_VARIABLE_321091))) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321093) (@ _let_1 BOUND_VARIABLE_321090)) (@ _let_1 BOUND_VARIABLE_321092)) (ll_3781 BOUND_VARIABLE_321090 BOUND_VARIABLE_321091 BOUND_VARIABLE_321092 BOUND_VARIABLE_321093)))))) (let ((_let_16190 (forall ((BOUND_VARIABLE_321080 tptp.set_nat) (BOUND_VARIABLE_321081 tptp.set_nat) (BOUND_VARIABLE_321082 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_321082) BOUND_VARIABLE_321080) BOUND_VARIABLE_321081) (ll_3780 BOUND_VARIABLE_321080 BOUND_VARIABLE_321081 BOUND_VARIABLE_321082))))) (let ((_let_16191 (forall ((BOUND_VARIABLE_321049 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321050 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321051 tptp.produc3843707927480180839at_nat)) (= (ll_3779 BOUND_VARIABLE_321049 BOUND_VARIABLE_321050 BOUND_VARIABLE_321051) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_321051)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4200 BOUND_VARIABLE_321049) BOUND_VARIABLE_321050)) tptp.top_top_set_o))))))) (let ((_let_16192 (forall ((BOUND_VARIABLE_321039 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321040 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321041 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_321041) BOUND_VARIABLE_321039) BOUND_VARIABLE_321040) (ll_3778 BOUND_VARIABLE_321039 BOUND_VARIABLE_321040 BOUND_VARIABLE_321041))))) (let ((_let_16193 (forall ((BOUND_VARIABLE_321008 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321009 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_321010 tptp.produc3843707927480180839at_nat)) (= (ll_3777 BOUND_VARIABLE_321008 BOUND_VARIABLE_321009 BOUND_VARIABLE_321010) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_321010)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4199 BOUND_VARIABLE_321008) BOUND_VARIABLE_321009)) tptp.top_top_set_o))))))) (let ((_let_16194 (forall ((BOUND_VARIABLE_320998 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320999 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_321000 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_321000) BOUND_VARIABLE_320998) BOUND_VARIABLE_320999) (ll_3776 BOUND_VARIABLE_320998 BOUND_VARIABLE_320999 BOUND_VARIABLE_321000))))) (let ((_let_16195 (forall ((BOUND_VARIABLE_320967 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320968 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320969 tptp.produc3843707927480180839at_nat)) (= (ll_3775 BOUND_VARIABLE_320967 BOUND_VARIABLE_320968 BOUND_VARIABLE_320969) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_320969)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4198 BOUND_VARIABLE_320967) BOUND_VARIABLE_320968)) tptp.top_top_set_o))))))) (let ((_let_16196 (forall ((BOUND_VARIABLE_320917 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320918 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_320919 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320920 Bool)) (= (ll_3774 BOUND_VARIABLE_320917 BOUND_VARIABLE_320918 BOUND_VARIABLE_320919 BOUND_VARIABLE_320920) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320920) (@ tptp.collect_nat (@ (@ ll_4197 BOUND_VARIABLE_320918) BOUND_VARIABLE_320917))) (@ tptp.collect_nat (@ (@ ll_4196 BOUND_VARIABLE_320918) BOUND_VARIABLE_320919))))))) (let ((_let_16197 (forall ((BOUND_VARIABLE_320907 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320908 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320909 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_320909) BOUND_VARIABLE_320907) BOUND_VARIABLE_320908) (ll_3773 BOUND_VARIABLE_320907 BOUND_VARIABLE_320908 BOUND_VARIABLE_320909))))) (let ((_let_16198 (forall ((BOUND_VARIABLE_320857 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320858 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_320859 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320860 Bool)) (= (ll_3772 BOUND_VARIABLE_320857 BOUND_VARIABLE_320858 BOUND_VARIABLE_320859 BOUND_VARIABLE_320860) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320860) (@ tptp.collect_nat (@ (@ ll_4195 BOUND_VARIABLE_320858) BOUND_VARIABLE_320857))) (@ tptp.collect_nat (@ (@ ll_4194 BOUND_VARIABLE_320858) BOUND_VARIABLE_320859))))))) (let ((_let_16199 (forall ((BOUND_VARIABLE_320826 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320827 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320828 tptp.produc3843707927480180839at_nat)) (= (ll_3771 BOUND_VARIABLE_320826 BOUND_VARIABLE_320827 BOUND_VARIABLE_320828) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_320828)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4193 BOUND_VARIABLE_320826) BOUND_VARIABLE_320827)) tptp.top_top_set_o))))))) (let ((_let_16200 (forall ((BOUND_VARIABLE_320776 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320777 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_320778 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320779 Bool)) (= (ll_3770 BOUND_VARIABLE_320776 BOUND_VARIABLE_320777 BOUND_VARIABLE_320778 BOUND_VARIABLE_320779) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_320779) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4192 BOUND_VARIABLE_320777) BOUND_VARIABLE_320776))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4191 BOUND_VARIABLE_320777) BOUND_VARIABLE_320778))))))) (let ((_let_16201 (forall ((BOUND_VARIABLE_320766 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320767 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320768 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_320768) BOUND_VARIABLE_320766) BOUND_VARIABLE_320767) (ll_3769 BOUND_VARIABLE_320766 BOUND_VARIABLE_320767 BOUND_VARIABLE_320768))))) (let ((_let_16202 (forall ((BOUND_VARIABLE_320756 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320757 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320758 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_320758) BOUND_VARIABLE_320756) BOUND_VARIABLE_320757) (ll_3768 BOUND_VARIABLE_320756 BOUND_VARIABLE_320757 BOUND_VARIABLE_320758))))) (let ((_let_16203 (forall ((BOUND_VARIABLE_320706 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320707 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_320708 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_320709 Bool)) (= (ll_3767 BOUND_VARIABLE_320706 BOUND_VARIABLE_320707 BOUND_VARIABLE_320708 BOUND_VARIABLE_320709) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_320709) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4190 BOUND_VARIABLE_320707) BOUND_VARIABLE_320706))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4189 BOUND_VARIABLE_320707) BOUND_VARIABLE_320708))))))) (let ((_let_16204 (forall ((BOUND_VARIABLE_320696 tptp.set_nat) (BOUND_VARIABLE_320697 tptp.set_nat) (BOUND_VARIABLE_320698 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320698) BOUND_VARIABLE_320696) BOUND_VARIABLE_320697) (ll_3766 BOUND_VARIABLE_320696 BOUND_VARIABLE_320697 BOUND_VARIABLE_320698))))) (let ((_let_16205 (forall ((BOUND_VARIABLE_320686 tptp.set_nat) (BOUND_VARIABLE_320687 tptp.set_nat) (BOUND_VARIABLE_320688 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320688) BOUND_VARIABLE_320686) BOUND_VARIABLE_320687) (ll_3765 BOUND_VARIABLE_320686 BOUND_VARIABLE_320687 BOUND_VARIABLE_320688))))) (let ((_let_16206 (forall ((BOUND_VARIABLE_320636 tptp.set_Product_unit) (BOUND_VARIABLE_320637 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_320638 tptp.set_Product_unit) (BOUND_VARIABLE_320639 Bool)) (= (ll_3764 BOUND_VARIABLE_320636 BOUND_VARIABLE_320637 BOUND_VARIABLE_320638 BOUND_VARIABLE_320639) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320639) (@ tptp.collect_nat (@ (@ ll_4188 BOUND_VARIABLE_320637) BOUND_VARIABLE_320636))) (@ tptp.collect_nat (@ (@ ll_4187 BOUND_VARIABLE_320637) BOUND_VARIABLE_320638))))))) (let ((_let_16207 (forall ((BOUND_VARIABLE_320626 tptp.set_nat) (BOUND_VARIABLE_320627 tptp.set_nat) (BOUND_VARIABLE_320628 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320628) BOUND_VARIABLE_320626) BOUND_VARIABLE_320627) (ll_3763 BOUND_VARIABLE_320626 BOUND_VARIABLE_320627 BOUND_VARIABLE_320628))))) (let ((_let_16208 (forall ((BOUND_VARIABLE_320616 tptp.set_nat) (BOUND_VARIABLE_320617 tptp.set_nat) (BOUND_VARIABLE_320618 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320618) BOUND_VARIABLE_320616) BOUND_VARIABLE_320617) (ll_3762 BOUND_VARIABLE_320616 BOUND_VARIABLE_320617 BOUND_VARIABLE_320618))))) (let ((_let_16209 (forall ((BOUND_VARIABLE_320606 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320607 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_320608 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_320608) BOUND_VARIABLE_320606) BOUND_VARIABLE_320607) (ll_3761 BOUND_VARIABLE_320606 BOUND_VARIABLE_320607 BOUND_VARIABLE_320608))))) (let ((_let_16210 (forall ((BOUND_VARIABLE_320596 tptp.set_nat) (BOUND_VARIABLE_320597 tptp.set_nat) (BOUND_VARIABLE_320598 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320598) BOUND_VARIABLE_320596) BOUND_VARIABLE_320597) (ll_3760 BOUND_VARIABLE_320596 BOUND_VARIABLE_320597 BOUND_VARIABLE_320598))))) (let ((_let_16211 (forall ((BOUND_VARIABLE_320586 tptp.set_nat) (BOUND_VARIABLE_320587 tptp.set_nat) (BOUND_VARIABLE_320588 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320588) BOUND_VARIABLE_320586) BOUND_VARIABLE_320587) (ll_3759 BOUND_VARIABLE_320586 BOUND_VARIABLE_320587 BOUND_VARIABLE_320588))))) (let ((_let_16212 (forall ((BOUND_VARIABLE_320576 tptp.set_nat) (BOUND_VARIABLE_320577 tptp.set_nat) (BOUND_VARIABLE_320578 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_320578) BOUND_VARIABLE_320576) BOUND_VARIABLE_320577) (ll_3758 BOUND_VARIABLE_320576 BOUND_VARIABLE_320577 BOUND_VARIABLE_320578))))) (let ((_let_16213 (forall ((BOUND_VARIABLE_320540 tptp.set_nat) (BOUND_VARIABLE_320541 tptp.nat)) (= (ll_3757 BOUND_VARIABLE_320540 BOUND_VARIABLE_320541) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4186 BOUND_VARIABLE_320541) BOUND_VARIABLE_320540)))))) (let ((_let_16214 (forall ((BOUND_VARIABLE_320504 tptp.set_nat) (BOUND_VARIABLE_320505 tptp.nat)) (= (ll_3756 BOUND_VARIABLE_320504 BOUND_VARIABLE_320505) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4185 BOUND_VARIABLE_320505) BOUND_VARIABLE_320504)))))) (let ((_let_16215 (forall ((BOUND_VARIABLE_320468 tptp.set_nat) (BOUND_VARIABLE_320469 tptp.nat)) (= (ll_3755 BOUND_VARIABLE_320468 BOUND_VARIABLE_320469) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4184 BOUND_VARIABLE_320469) BOUND_VARIABLE_320468)))))) (let ((_let_16216 (forall ((BOUND_VARIABLE_320421 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_320422 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_320423 tptp.nat)) (= (ll_3754 BOUND_VARIABLE_320421 BOUND_VARIABLE_320422 BOUND_VARIABLE_320423) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ ll_4183 BOUND_VARIABLE_320421) BOUND_VARIABLE_320422) BOUND_VARIABLE_320423)))))) (let ((_let_16217 (forall ((BOUND_VARIABLE_320383 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_320384 tptp.nat)) (= (ll_3753 BOUND_VARIABLE_320383 BOUND_VARIABLE_320384) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4182 BOUND_VARIABLE_320383) BOUND_VARIABLE_320384)))))) (let ((_let_16218 (forall ((BOUND_VARIABLE_320345 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_320346 tptp.nat)) (= (ll_3752 BOUND_VARIABLE_320345 BOUND_VARIABLE_320346) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4181 BOUND_VARIABLE_320345) BOUND_VARIABLE_320346)))))) (let ((_let_16219 (forall ((BOUND_VARIABLE_320309 tptp.set_nat) (BOUND_VARIABLE_320310 tptp.nat)) (= (ll_3751 BOUND_VARIABLE_320309 BOUND_VARIABLE_320310) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4180 BOUND_VARIABLE_320310) BOUND_VARIABLE_320309)))))) (let ((_let_16220 (forall ((BOUND_VARIABLE_320273 tptp.set_nat) (BOUND_VARIABLE_320274 tptp.nat)) (= (ll_3750 BOUND_VARIABLE_320273 BOUND_VARIABLE_320274) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4179 BOUND_VARIABLE_320274) BOUND_VARIABLE_320273)))))) (let ((_let_16221 (forall ((BOUND_VARIABLE_320229 tptp.set_nat) (BOUND_VARIABLE_320230 tptp.set_nat) (BOUND_VARIABLE_320231 tptp.nat)) (= (ll_3749 BOUND_VARIABLE_320229 BOUND_VARIABLE_320230 BOUND_VARIABLE_320231) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ ll_4178 BOUND_VARIABLE_320231) BOUND_VARIABLE_320229) BOUND_VARIABLE_320230)))))) (let ((_let_16222 (forall ((BOUND_VARIABLE_320193 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320194 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3748 BOUND_VARIABLE_320193 BOUND_VARIABLE_320194) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4177 BOUND_VARIABLE_320194) BOUND_VARIABLE_320193)))))) (let ((_let_16223 (forall ((BOUND_VARIABLE_320125 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320126 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320127 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_320128 Bool)) (= (ll_3747 BOUND_VARIABLE_320125 BOUND_VARIABLE_320126 BOUND_VARIABLE_320127 BOUND_VARIABLE_320128) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_320128) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4176 BOUND_VARIABLE_320126) BOUND_VARIABLE_320125))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4175 BOUND_VARIABLE_320126) BOUND_VARIABLE_320127))))))) (let ((_let_16224 (forall ((BOUND_VARIABLE_320119 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_320120 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_320119 (ll_3746 BOUND_VARIABLE_320119 BOUND_VARIABLE_320120))))) (let ((_let_16225 (forall ((BOUND_VARIABLE_320113 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_320114 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_320113 (ll_3745 BOUND_VARIABLE_320113 BOUND_VARIABLE_320114))))) (let ((_let_16226 (forall ((BOUND_VARIABLE_320077 tptp.set_nat) (BOUND_VARIABLE_320078 tptp.nat)) (= (ll_3744 BOUND_VARIABLE_320077 BOUND_VARIABLE_320078) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4174 BOUND_VARIABLE_320078) BOUND_VARIABLE_320077)))))) (let ((_let_16227 (forall ((BOUND_VARIABLE_320041 tptp.set_nat) (BOUND_VARIABLE_320042 tptp.nat)) (= (ll_3743 BOUND_VARIABLE_320041 BOUND_VARIABLE_320042) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4173 BOUND_VARIABLE_320042) BOUND_VARIABLE_320041)))))) (let ((_let_16228 (forall ((BOUND_VARIABLE_320005 tptp.set_nat) (BOUND_VARIABLE_320006 tptp.nat)) (= (ll_3742 BOUND_VARIABLE_320005 BOUND_VARIABLE_320006) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4172 BOUND_VARIABLE_320006) BOUND_VARIABLE_320005)))))) (let ((_let_16229 (forall ((BOUND_VARIABLE_319974 tptp.set_nat) (BOUND_VARIABLE_319975 tptp.set_nat) (BOUND_VARIABLE_319976 tptp.nat)) (= (ll_3741 BOUND_VARIABLE_319974 BOUND_VARIABLE_319975 BOUND_VARIABLE_319976) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_319976)) (@ (@ tptp.image_o_set_nat (@ (@ ll_4171 BOUND_VARIABLE_319974) BOUND_VARIABLE_319975)) tptp.top_top_set_o))))))) (let ((_let_16230 (forall ((BOUND_VARIABLE_319926 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_319927 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_319928 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3740 BOUND_VARIABLE_319926 BOUND_VARIABLE_319927 BOUND_VARIABLE_319928) (@ tptp.collec6321179662152712658at_nat (@ (@ (@ ll_4170 BOUND_VARIABLE_319926) BOUND_VARIABLE_319927) BOUND_VARIABLE_319928)))))) (let ((_let_16231 (forall ((BOUND_VARIABLE_319847 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_319848 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_319849 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_319850 Bool)) (= (ll_3739 BOUND_VARIABLE_319847 BOUND_VARIABLE_319848 BOUND_VARIABLE_319849 BOUND_VARIABLE_319850) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_319850) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4169 BOUND_VARIABLE_319847) BOUND_VARIABLE_319849))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4168 BOUND_VARIABLE_319848) BOUND_VARIABLE_319849))))))) (let ((_let_16232 (forall ((BOUND_VARIABLE_319809 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319810 tptp.nat)) (= (ll_3738 BOUND_VARIABLE_319809 BOUND_VARIABLE_319810) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4167 BOUND_VARIABLE_319809) BOUND_VARIABLE_319810)))))) (let ((_let_16233 (forall ((BOUND_VARIABLE_319771 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319772 tptp.nat)) (= (ll_3737 BOUND_VARIABLE_319771 BOUND_VARIABLE_319772) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4166 BOUND_VARIABLE_319771) BOUND_VARIABLE_319772)))))) (let ((_let_16234 (forall ((BOUND_VARIABLE_319710 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319711 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319712 tptp.nat)) (= (ll_3736 BOUND_VARIABLE_319710 BOUND_VARIABLE_319711 BOUND_VARIABLE_319712) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ ll_4165 BOUND_VARIABLE_319710) BOUND_VARIABLE_319711) BOUND_VARIABLE_319712)))))) (let ((_let_16235 (forall ((BOUND_VARIABLE_319700 tptp.set_nat) (BOUND_VARIABLE_319701 tptp.set_nat) (BOUND_VARIABLE_319702 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319702) BOUND_VARIABLE_319700) BOUND_VARIABLE_319701) (ll_3735 BOUND_VARIABLE_319700 BOUND_VARIABLE_319701 BOUND_VARIABLE_319702))))) (let ((_let_16236 (forall ((BOUND_VARIABLE_319690 tptp.set_nat) (BOUND_VARIABLE_319691 tptp.set_nat) (BOUND_VARIABLE_319692 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319692) BOUND_VARIABLE_319690) BOUND_VARIABLE_319691) (ll_3734 BOUND_VARIABLE_319690 BOUND_VARIABLE_319691 BOUND_VARIABLE_319692))))) (let ((_let_16237 (forall ((BOUND_VARIABLE_319680 tptp.set_nat) (BOUND_VARIABLE_319681 tptp.set_nat) (BOUND_VARIABLE_319682 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319682) BOUND_VARIABLE_319680) BOUND_VARIABLE_319681) (ll_3733 BOUND_VARIABLE_319680 BOUND_VARIABLE_319681 BOUND_VARIABLE_319682))))) (let ((_let_16238 (forall ((BOUND_VARIABLE_319670 tptp.set_nat) (BOUND_VARIABLE_319671 tptp.set_nat) (BOUND_VARIABLE_319672 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319672) BOUND_VARIABLE_319670) BOUND_VARIABLE_319671) (ll_3732 BOUND_VARIABLE_319670 BOUND_VARIABLE_319671 BOUND_VARIABLE_319672))))) (let ((_let_16239 (forall ((BOUND_VARIABLE_319632 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319633 tptp.nat)) (= (ll_3731 BOUND_VARIABLE_319632 BOUND_VARIABLE_319633) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4164 BOUND_VARIABLE_319632) BOUND_VARIABLE_319633)))))) (let ((_let_16240 (forall ((BOUND_VARIABLE_319594 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319595 tptp.nat)) (= (ll_3730 BOUND_VARIABLE_319594 BOUND_VARIABLE_319595) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4163 BOUND_VARIABLE_319594) BOUND_VARIABLE_319595)))))) (let ((_let_16241 (forall ((BOUND_VARIABLE_319556 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319557 tptp.nat)) (= (ll_3729 BOUND_VARIABLE_319556 BOUND_VARIABLE_319557) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4162 BOUND_VARIABLE_319556) BOUND_VARIABLE_319557)))))) (let ((_let_16242 (forall ((BOUND_VARIABLE_319518 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_319519 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3728 BOUND_VARIABLE_319518 BOUND_VARIABLE_319519) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4161 BOUND_VARIABLE_319518) BOUND_VARIABLE_319519)))))) (let ((_let_16243 (forall ((BOUND_VARIABLE_319447 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_319448 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_319449 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_319450 Bool)) (= (ll_3727 BOUND_VARIABLE_319447 BOUND_VARIABLE_319448 BOUND_VARIABLE_319449 BOUND_VARIABLE_319450) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_319450) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4160 BOUND_VARIABLE_319448) BOUND_VARIABLE_319447))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4159 BOUND_VARIABLE_319448) BOUND_VARIABLE_319449))))))) (let ((_let_16244 (forall ((BOUND_VARIABLE_319409 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319410 tptp.nat)) (= (ll_3726 BOUND_VARIABLE_319409 BOUND_VARIABLE_319410) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4158 BOUND_VARIABLE_319409) BOUND_VARIABLE_319410)))))) (let ((_let_16245 (forall ((BOUND_VARIABLE_319371 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319372 tptp.nat)) (= (ll_3725 BOUND_VARIABLE_319371 BOUND_VARIABLE_319372) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4157 BOUND_VARIABLE_319371) BOUND_VARIABLE_319372)))))) (let ((_let_16246 (forall ((BOUND_VARIABLE_319333 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319334 tptp.nat)) (= (ll_3724 BOUND_VARIABLE_319333 BOUND_VARIABLE_319334) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4156 BOUND_VARIABLE_319333) BOUND_VARIABLE_319334)))))) (let ((_let_16247 (forall ((BOUND_VARIABLE_319302 tptp.set_nat) (BOUND_VARIABLE_319303 tptp.set_nat) (BOUND_VARIABLE_319304 tptp.nat)) (= (ll_3723 BOUND_VARIABLE_319302 BOUND_VARIABLE_319303 BOUND_VARIABLE_319304) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_319304)) (@ (@ tptp.image_o_set_nat (@ (@ ll_4155 BOUND_VARIABLE_319302) BOUND_VARIABLE_319303)) tptp.top_top_set_o))))))) (let ((_let_16248 (forall ((BOUND_VARIABLE_319292 tptp.set_nat) (BOUND_VARIABLE_319293 tptp.set_nat) (BOUND_VARIABLE_319294 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319294) BOUND_VARIABLE_319292) BOUND_VARIABLE_319293) (ll_3722 BOUND_VARIABLE_319292 BOUND_VARIABLE_319293 BOUND_VARIABLE_319294))))) (let ((_let_16249 (forall ((BOUND_VARIABLE_319282 tptp.set_nat) (BOUND_VARIABLE_319283 tptp.set_nat) (BOUND_VARIABLE_319284 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319284) BOUND_VARIABLE_319282) BOUND_VARIABLE_319283) (ll_3721 BOUND_VARIABLE_319282 BOUND_VARIABLE_319283 BOUND_VARIABLE_319284))))) (let ((_let_16250 (forall ((BOUND_VARIABLE_319272 tptp.set_nat) (BOUND_VARIABLE_319273 tptp.set_nat) (BOUND_VARIABLE_319274 Bool)) (= (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319274) BOUND_VARIABLE_319272) BOUND_VARIABLE_319273) (ll_3720 BOUND_VARIABLE_319272 BOUND_VARIABLE_319273 BOUND_VARIABLE_319274))))) (let ((_let_16251 (forall ((BOUND_VARIABLE_319239 tptp.product_unit) (BOUND_VARIABLE_319240 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_319241 tptp.set_Product_unit) (BOUND_VARIABLE_319242 Bool)) (= (ll_3719 BOUND_VARIABLE_319239 BOUND_VARIABLE_319240 BOUND_VARIABLE_319241 BOUND_VARIABLE_319242) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_319242) (@ BOUND_VARIABLE_319240 BOUND_VARIABLE_319239)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4154 BOUND_VARIABLE_319240) BOUND_VARIABLE_319241))))))) (let ((_let_16252 (forall ((BOUND_VARIABLE_319206 tptp.nat) (BOUND_VARIABLE_319207 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_319208 tptp.set_nat) (BOUND_VARIABLE_319209 Bool)) (= (ll_3718 BOUND_VARIABLE_319206 BOUND_VARIABLE_319207 BOUND_VARIABLE_319208 BOUND_VARIABLE_319209) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_319209) (@ BOUND_VARIABLE_319207 BOUND_VARIABLE_319206)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4153 BOUND_VARIABLE_319207) BOUND_VARIABLE_319208))))))) (let ((_let_16253 (forall ((BOUND_VARIABLE_319173 tptp.product_prod_nat_nat) (BOUND_VARIABLE_319174 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_319175 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_319176 Bool)) (= (ll_3717 BOUND_VARIABLE_319173 BOUND_VARIABLE_319174 BOUND_VARIABLE_319175 BOUND_VARIABLE_319176) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319176) (@ BOUND_VARIABLE_319174 BOUND_VARIABLE_319173)) (@ tptp.collect_nat (@ (@ ll_4152 BOUND_VARIABLE_319174) BOUND_VARIABLE_319175))))))) (let ((_let_16254 (forall ((BOUND_VARIABLE_319140 Bool) (BOUND_VARIABLE_319141 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_319142 tptp.set_o) (BOUND_VARIABLE_319143 Bool)) (= (ll_3716 BOUND_VARIABLE_319140 BOUND_VARIABLE_319141 BOUND_VARIABLE_319142 BOUND_VARIABLE_319143) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319143) (@ BOUND_VARIABLE_319141 BOUND_VARIABLE_319140)) (@ tptp.collect_nat (@ (@ ll_4151 BOUND_VARIABLE_319141) BOUND_VARIABLE_319142))))))) (let ((_let_16255 (forall ((BOUND_VARIABLE_319107 tptp.product_unit) (BOUND_VARIABLE_319108 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_319109 tptp.set_Product_unit) (BOUND_VARIABLE_319110 Bool)) (= (ll_3715 BOUND_VARIABLE_319107 BOUND_VARIABLE_319108 BOUND_VARIABLE_319109 BOUND_VARIABLE_319110) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319110) (@ BOUND_VARIABLE_319108 BOUND_VARIABLE_319107)) (@ tptp.collect_nat (@ (@ ll_4150 BOUND_VARIABLE_319108) BOUND_VARIABLE_319109))))))) (let ((_let_16256 (forall ((BOUND_VARIABLE_319074 tptp.nat) (BOUND_VARIABLE_319075 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319076 tptp.set_nat) (BOUND_VARIABLE_319077 Bool)) (= (ll_3714 BOUND_VARIABLE_319074 BOUND_VARIABLE_319075 BOUND_VARIABLE_319076 BOUND_VARIABLE_319077) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_319077) (@ BOUND_VARIABLE_319075 BOUND_VARIABLE_319074)) (@ tptp.collect_nat (@ (@ ll_4149 BOUND_VARIABLE_319075) BOUND_VARIABLE_319076))))))) (let ((_let_16257 (forall ((BOUND_VARIABLE_319064 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_319065 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_319066 tptp.product_unit)) (= (@ (@ tptp.sup_su6327502436637775413at_nat (@ BOUND_VARIABLE_319064 BOUND_VARIABLE_319066)) BOUND_VARIABLE_319065) (ll_3713 BOUND_VARIABLE_319064 BOUND_VARIABLE_319065 BOUND_VARIABLE_319066))))) (let ((_let_16258 (forall ((BOUND_VARIABLE_319054 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_319055 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_319056 tptp.product_unit)) (= (@ (@ tptp.sup_su6327502436637775413at_nat (@ BOUND_VARIABLE_319054 BOUND_VARIABLE_319056)) BOUND_VARIABLE_319055) (ll_3712 BOUND_VARIABLE_319054 BOUND_VARIABLE_319055 BOUND_VARIABLE_319056))))) (let ((_let_16259 (forall ((BOUND_VARIABLE_319017 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_319018 tptp.set_nat) (BOUND_VARIABLE_319019 tptp.nat)) (= (ll_3711 BOUND_VARIABLE_319017 BOUND_VARIABLE_319018 BOUND_VARIABLE_319019) (@ tptp.collect_nat (@ (@ (@ ll_4148 BOUND_VARIABLE_319017) BOUND_VARIABLE_319019) BOUND_VARIABLE_319018)))))) (let ((_let_16260 (forall ((BOUND_VARIABLE_318980 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_318981 tptp.set_nat) (BOUND_VARIABLE_318982 tptp.nat)) (= (ll_3710 BOUND_VARIABLE_318980 BOUND_VARIABLE_318981 BOUND_VARIABLE_318982) (@ tptp.collect_nat (@ (@ (@ ll_4147 BOUND_VARIABLE_318980) BOUND_VARIABLE_318982) BOUND_VARIABLE_318981)))))) (let ((_let_16261 (forall ((BOUND_VARIABLE_318947 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_318948 tptp.set_nat) (BOUND_VARIABLE_318949 tptp.set_nat) (BOUND_VARIABLE_318950 Bool)) (= (ll_3709 BOUND_VARIABLE_318947 BOUND_VARIABLE_318948 BOUND_VARIABLE_318949 BOUND_VARIABLE_318950) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318950) (@ tptp.collect_nat (@ (@ ll_4146 BOUND_VARIABLE_318947) BOUND_VARIABLE_318948))) BOUND_VARIABLE_318949))))) (let ((_let_16262 (forall ((BOUND_VARIABLE_318910 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_318911 tptp.set_nat) (BOUND_VARIABLE_318912 Bool)) (= (ll_3708 BOUND_VARIABLE_318910 BOUND_VARIABLE_318911 BOUND_VARIABLE_318912) (@ tptp.collect_nat (@ (@ (@ ll_4145 BOUND_VARIABLE_318910) BOUND_VARIABLE_318912) BOUND_VARIABLE_318911)))))) (let ((_let_16263 (forall ((BOUND_VARIABLE_318872 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_318873 tptp.set_nat) (BOUND_VARIABLE_318874 Bool)) (= (ll_3707 BOUND_VARIABLE_318872 BOUND_VARIABLE_318873 BOUND_VARIABLE_318874) (@ tptp.collect_nat (@ (@ (@ ll_4144 BOUND_VARIABLE_318872) BOUND_VARIABLE_318874) BOUND_VARIABLE_318873)))))) (let ((_let_16264 (forall ((BOUND_VARIABLE_318839 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_318840 tptp.set_o) (BOUND_VARIABLE_318841 tptp.set_nat) (BOUND_VARIABLE_318842 Bool)) (= (ll_3706 BOUND_VARIABLE_318839 BOUND_VARIABLE_318840 BOUND_VARIABLE_318841 BOUND_VARIABLE_318842) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318842) (@ tptp.collect_nat (@ (@ ll_4143 BOUND_VARIABLE_318839) BOUND_VARIABLE_318840))) BOUND_VARIABLE_318841))))) (let ((_let_16265 (forall ((BOUND_VARIABLE_318802 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_318803 tptp.set_nat) (BOUND_VARIABLE_318804 tptp.product_unit)) (= (ll_3705 BOUND_VARIABLE_318802 BOUND_VARIABLE_318803 BOUND_VARIABLE_318804) (@ tptp.collect_nat (@ (@ (@ ll_4142 BOUND_VARIABLE_318802) BOUND_VARIABLE_318804) BOUND_VARIABLE_318803)))))) (let ((_let_16266 (forall ((BOUND_VARIABLE_318764 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_318765 tptp.set_nat) (BOUND_VARIABLE_318766 tptp.product_unit)) (= (ll_3704 BOUND_VARIABLE_318764 BOUND_VARIABLE_318765 BOUND_VARIABLE_318766) (@ tptp.collect_nat (@ (@ (@ ll_4141 BOUND_VARIABLE_318764) BOUND_VARIABLE_318766) BOUND_VARIABLE_318765)))))) (let ((_let_16267 (forall ((BOUND_VARIABLE_318731 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_318732 tptp.set_Product_unit) (BOUND_VARIABLE_318733 tptp.set_nat) (BOUND_VARIABLE_318734 Bool)) (= (ll_3703 BOUND_VARIABLE_318731 BOUND_VARIABLE_318732 BOUND_VARIABLE_318733 BOUND_VARIABLE_318734) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318734) (@ tptp.collect_nat (@ (@ ll_4140 BOUND_VARIABLE_318731) BOUND_VARIABLE_318732))) BOUND_VARIABLE_318733))))) (let ((_let_16268 (forall ((BOUND_VARIABLE_318721 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_318722 tptp.set_o) (BOUND_VARIABLE_318723 tptp.nat)) (= (@ (@ tptp.sup_sup_set_o (@ BOUND_VARIABLE_318721 BOUND_VARIABLE_318723)) BOUND_VARIABLE_318722) (ll_3702 BOUND_VARIABLE_318721 BOUND_VARIABLE_318722 BOUND_VARIABLE_318723))))) (let ((_let_16269 (forall ((BOUND_VARIABLE_318711 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_318712 tptp.set_o) (BOUND_VARIABLE_318713 tptp.nat)) (= (@ (@ tptp.sup_sup_set_o (@ BOUND_VARIABLE_318711 BOUND_VARIABLE_318713)) BOUND_VARIABLE_318712) (ll_3701 BOUND_VARIABLE_318711 BOUND_VARIABLE_318712 BOUND_VARIABLE_318713))))) (let ((_let_16270 (forall ((BOUND_VARIABLE_318701 (-> Bool tptp.set_o)) (BOUND_VARIABLE_318702 tptp.set_o) (BOUND_VARIABLE_318703 Bool)) (= (@ (@ tptp.sup_sup_set_o (@ BOUND_VARIABLE_318701 BOUND_VARIABLE_318703)) BOUND_VARIABLE_318702) (ll_3700 BOUND_VARIABLE_318701 BOUND_VARIABLE_318702 BOUND_VARIABLE_318703))))) (let ((_let_16271 (forall ((BOUND_VARIABLE_318691 (-> Bool tptp.set_o)) (BOUND_VARIABLE_318692 tptp.set_o) (BOUND_VARIABLE_318693 Bool)) (= (@ (@ tptp.sup_sup_set_o (@ BOUND_VARIABLE_318691 BOUND_VARIABLE_318693)) BOUND_VARIABLE_318692) (ll_3699 BOUND_VARIABLE_318691 BOUND_VARIABLE_318692 BOUND_VARIABLE_318693))))) (let ((_let_16272 (forall ((BOUND_VARIABLE_318681 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_318682 tptp.set_o) (BOUND_VARIABLE_318683 tptp.product_unit)) (= (@ (@ tptp.sup_sup_set_o (@ BOUND_VARIABLE_318681 BOUND_VARIABLE_318683)) BOUND_VARIABLE_318682) (ll_3698 BOUND_VARIABLE_318681 BOUND_VARIABLE_318682 BOUND_VARIABLE_318683))))) (let ((_let_16273 (forall ((BOUND_VARIABLE_318671 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_318672 tptp.set_o) (BOUND_VARIABLE_318673 tptp.product_unit)) (= (@ (@ tptp.sup_sup_set_o (@ BOUND_VARIABLE_318671 BOUND_VARIABLE_318673)) BOUND_VARIABLE_318672) (ll_3697 BOUND_VARIABLE_318671 BOUND_VARIABLE_318672 BOUND_VARIABLE_318673))))) (let ((_let_16274 (forall ((BOUND_VARIABLE_318661 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_318662 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_318663 tptp.product_unit)) (= (@ (@ tptp.sup_su6327502436637775413at_nat BOUND_VARIABLE_318661) (@ BOUND_VARIABLE_318662 BOUND_VARIABLE_318663)) (ll_3696 BOUND_VARIABLE_318661 BOUND_VARIABLE_318662 BOUND_VARIABLE_318663))))) (let ((_let_16275 (forall ((BOUND_VARIABLE_318651 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_318652 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_318653 tptp.product_unit)) (= (@ (@ tptp.sup_su6327502436637775413at_nat BOUND_VARIABLE_318651) (@ BOUND_VARIABLE_318652 BOUND_VARIABLE_318653)) (ll_3695 BOUND_VARIABLE_318651 BOUND_VARIABLE_318652 BOUND_VARIABLE_318653))))) (let ((_let_16276 (forall ((BOUND_VARIABLE_318614 tptp.set_nat) (BOUND_VARIABLE_318615 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_318616 tptp.nat)) (= (ll_3694 BOUND_VARIABLE_318614 BOUND_VARIABLE_318615 BOUND_VARIABLE_318616) (@ tptp.collect_nat (@ (@ (@ ll_4139 BOUND_VARIABLE_318614) BOUND_VARIABLE_318615) BOUND_VARIABLE_318616)))))) (let ((_let_16277 (forall ((BOUND_VARIABLE_318576 tptp.set_nat) (BOUND_VARIABLE_318577 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_318578 tptp.nat)) (= (ll_3693 BOUND_VARIABLE_318576 BOUND_VARIABLE_318577 BOUND_VARIABLE_318578) (@ tptp.collect_nat (@ (@ (@ ll_4138 BOUND_VARIABLE_318576) BOUND_VARIABLE_318577) BOUND_VARIABLE_318578)))))) (let ((_let_16278 (forall ((BOUND_VARIABLE_318544 tptp.set_nat) (BOUND_VARIABLE_318545 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_318546 tptp.set_nat) (BOUND_VARIABLE_318547 Bool)) (= (ll_3692 BOUND_VARIABLE_318544 BOUND_VARIABLE_318545 BOUND_VARIABLE_318546 BOUND_VARIABLE_318547) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318547) BOUND_VARIABLE_318544) (@ tptp.collect_nat (@ (@ ll_4137 BOUND_VARIABLE_318545) BOUND_VARIABLE_318546))))))) (let ((_let_16279 (forall ((BOUND_VARIABLE_318507 tptp.set_nat) (BOUND_VARIABLE_318508 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_318509 Bool)) (= (ll_3691 BOUND_VARIABLE_318507 BOUND_VARIABLE_318508 BOUND_VARIABLE_318509) (@ tptp.collect_nat (@ (@ (@ ll_4136 BOUND_VARIABLE_318507) BOUND_VARIABLE_318508) BOUND_VARIABLE_318509)))))) (let ((_let_16280 (forall ((BOUND_VARIABLE_318469 tptp.set_nat) (BOUND_VARIABLE_318470 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_318471 Bool)) (= (ll_3690 BOUND_VARIABLE_318469 BOUND_VARIABLE_318470 BOUND_VARIABLE_318471) (@ tptp.collect_nat (@ (@ (@ ll_4135 BOUND_VARIABLE_318469) BOUND_VARIABLE_318470) BOUND_VARIABLE_318471)))))) (let ((_let_16281 (forall ((BOUND_VARIABLE_318437 tptp.set_nat) (BOUND_VARIABLE_318438 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_318439 tptp.set_o) (BOUND_VARIABLE_318440 Bool)) (= (ll_3689 BOUND_VARIABLE_318437 BOUND_VARIABLE_318438 BOUND_VARIABLE_318439 BOUND_VARIABLE_318440) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318440) BOUND_VARIABLE_318437) (@ tptp.collect_nat (@ (@ ll_4134 BOUND_VARIABLE_318438) BOUND_VARIABLE_318439))))))) (let ((_let_16282 (forall ((BOUND_VARIABLE_318400 tptp.set_nat) (BOUND_VARIABLE_318401 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_318402 tptp.product_unit)) (= (ll_3688 BOUND_VARIABLE_318400 BOUND_VARIABLE_318401 BOUND_VARIABLE_318402) (@ tptp.collect_nat (@ (@ (@ ll_4133 BOUND_VARIABLE_318400) BOUND_VARIABLE_318401) BOUND_VARIABLE_318402)))))) (let ((_let_16283 (forall ((BOUND_VARIABLE_318362 tptp.set_nat) (BOUND_VARIABLE_318363 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_318364 tptp.product_unit)) (= (ll_3687 BOUND_VARIABLE_318362 BOUND_VARIABLE_318363 BOUND_VARIABLE_318364) (@ tptp.collect_nat (@ (@ (@ ll_4132 BOUND_VARIABLE_318362) BOUND_VARIABLE_318363) BOUND_VARIABLE_318364)))))) (let ((_let_16284 (forall ((BOUND_VARIABLE_318330 tptp.set_nat) (BOUND_VARIABLE_318331 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_318332 tptp.set_Product_unit) (BOUND_VARIABLE_318333 Bool)) (= (ll_3686 BOUND_VARIABLE_318330 BOUND_VARIABLE_318331 BOUND_VARIABLE_318332 BOUND_VARIABLE_318333) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318333) BOUND_VARIABLE_318330) (@ tptp.collect_nat (@ (@ ll_4131 BOUND_VARIABLE_318331) BOUND_VARIABLE_318332))))))) (let ((_let_16285 (forall ((BOUND_VARIABLE_318320 tptp.set_o) (BOUND_VARIABLE_318321 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_318322 tptp.nat)) (= (@ (@ tptp.sup_sup_set_o BOUND_VARIABLE_318320) (@ BOUND_VARIABLE_318321 BOUND_VARIABLE_318322)) (ll_3685 BOUND_VARIABLE_318320 BOUND_VARIABLE_318321 BOUND_VARIABLE_318322))))) (let ((_let_16286 (forall ((BOUND_VARIABLE_318310 tptp.set_o) (BOUND_VARIABLE_318311 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_318312 tptp.nat)) (= (@ (@ tptp.sup_sup_set_o BOUND_VARIABLE_318310) (@ BOUND_VARIABLE_318311 BOUND_VARIABLE_318312)) (ll_3684 BOUND_VARIABLE_318310 BOUND_VARIABLE_318311 BOUND_VARIABLE_318312))))) (let ((_let_16287 (forall ((BOUND_VARIABLE_318300 tptp.set_o) (BOUND_VARIABLE_318301 (-> Bool tptp.set_o)) (BOUND_VARIABLE_318302 Bool)) (= (@ (@ tptp.sup_sup_set_o BOUND_VARIABLE_318300) (@ BOUND_VARIABLE_318301 BOUND_VARIABLE_318302)) (ll_3683 BOUND_VARIABLE_318300 BOUND_VARIABLE_318301 BOUND_VARIABLE_318302))))) (let ((_let_16288 (forall ((BOUND_VARIABLE_318290 tptp.set_o) (BOUND_VARIABLE_318291 (-> Bool tptp.set_o)) (BOUND_VARIABLE_318292 Bool)) (= (@ (@ tptp.sup_sup_set_o BOUND_VARIABLE_318290) (@ BOUND_VARIABLE_318291 BOUND_VARIABLE_318292)) (ll_3682 BOUND_VARIABLE_318290 BOUND_VARIABLE_318291 BOUND_VARIABLE_318292))))) (let ((_let_16289 (forall ((BOUND_VARIABLE_318280 tptp.set_o) (BOUND_VARIABLE_318281 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_318282 tptp.product_unit)) (= (@ (@ tptp.sup_sup_set_o BOUND_VARIABLE_318280) (@ BOUND_VARIABLE_318281 BOUND_VARIABLE_318282)) (ll_3681 BOUND_VARIABLE_318280 BOUND_VARIABLE_318281 BOUND_VARIABLE_318282))))) (let ((_let_16290 (forall ((BOUND_VARIABLE_318270 tptp.set_o) (BOUND_VARIABLE_318271 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_318272 tptp.product_unit)) (= (@ (@ tptp.sup_sup_set_o BOUND_VARIABLE_318270) (@ BOUND_VARIABLE_318271 BOUND_VARIABLE_318272)) (ll_3680 BOUND_VARIABLE_318270 BOUND_VARIABLE_318271 BOUND_VARIABLE_318272))))) (let ((_let_16291 (forall ((BOUND_VARIABLE_318239 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318240 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318241 tptp.produc3843707927480180839at_nat)) (= (ll_3679 BOUND_VARIABLE_318239 BOUND_VARIABLE_318240 BOUND_VARIABLE_318241) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_318241)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4130 BOUND_VARIABLE_318239) BOUND_VARIABLE_318240)) tptp.top_top_set_o))))))) (let ((_let_16292 (forall ((BOUND_VARIABLE_318189 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318190 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_318191 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318192 Bool)) (= (ll_3678 BOUND_VARIABLE_318189 BOUND_VARIABLE_318190 BOUND_VARIABLE_318191 BOUND_VARIABLE_318192) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318192) (@ tptp.collect_nat (@ (@ ll_4129 BOUND_VARIABLE_318190) BOUND_VARIABLE_318189))) (@ tptp.collect_nat (@ (@ ll_4128 BOUND_VARIABLE_318190) BOUND_VARIABLE_318191))))))) (let ((_let_16293 (forall ((BOUND_VARIABLE_318179 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318180 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318181 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_318181) BOUND_VARIABLE_318179) BOUND_VARIABLE_318180) (ll_3677 BOUND_VARIABLE_318179 BOUND_VARIABLE_318180 BOUND_VARIABLE_318181))))) (let ((_let_16294 (forall ((BOUND_VARIABLE_318129 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318130 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_318131 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318132 Bool)) (= (ll_3676 BOUND_VARIABLE_318129 BOUND_VARIABLE_318130 BOUND_VARIABLE_318131 BOUND_VARIABLE_318132) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_318132) (@ tptp.collect_nat (@ (@ ll_4127 BOUND_VARIABLE_318130) BOUND_VARIABLE_318129))) (@ tptp.collect_nat (@ (@ ll_4126 BOUND_VARIABLE_318130) BOUND_VARIABLE_318131))))))) (let ((_let_16295 (forall ((BOUND_VARIABLE_318098 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318099 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318100 tptp.produc3843707927480180839at_nat)) (= (ll_3675 BOUND_VARIABLE_318098 BOUND_VARIABLE_318099 BOUND_VARIABLE_318100) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_318100)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_4125 BOUND_VARIABLE_318098) BOUND_VARIABLE_318099)) tptp.top_top_set_o))))))) (let ((_let_16296 (forall ((BOUND_VARIABLE_318048 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318049 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_318050 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318051 Bool)) (= (ll_3674 BOUND_VARIABLE_318048 BOUND_VARIABLE_318049 BOUND_VARIABLE_318050 BOUND_VARIABLE_318051) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_318051) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4124 BOUND_VARIABLE_318049) BOUND_VARIABLE_318048))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4123 BOUND_VARIABLE_318049) BOUND_VARIABLE_318050))))))) (let ((_let_16297 (forall ((BOUND_VARIABLE_318038 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318039 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_318040 Bool)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_318040) BOUND_VARIABLE_318038) BOUND_VARIABLE_318039) (ll_3673 BOUND_VARIABLE_318038 BOUND_VARIABLE_318039 BOUND_VARIABLE_318040))))) (let ((_let_16298 (forall ((BOUND_VARIABLE_318028 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318029 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_318030 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_318030) BOUND_VARIABLE_318028) BOUND_VARIABLE_318029) (ll_3672 BOUND_VARIABLE_318028 BOUND_VARIABLE_318029 BOUND_VARIABLE_318030))))) (let ((_let_16299 (forall ((BOUND_VARIABLE_317978 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_317979 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_317980 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_317981 Bool)) (= (ll_3671 BOUND_VARIABLE_317978 BOUND_VARIABLE_317979 BOUND_VARIABLE_317980 BOUND_VARIABLE_317981) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_317981) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4122 BOUND_VARIABLE_317979) BOUND_VARIABLE_317978))) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4121 BOUND_VARIABLE_317979) BOUND_VARIABLE_317980))))))) (let ((_let_16300 (forall ((BOUND_VARIABLE_317941 (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_317942 (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_317943 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_317944 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_317945 Bool)) (let ((_let_1 (@ tptp.inf_in2269163501485487111nt_int BOUND_VARIABLE_317943))) (= (ll_3670 BOUND_VARIABLE_317941 BOUND_VARIABLE_317942 BOUND_VARIABLE_317943 BOUND_VARIABLE_317944 BOUND_VARIABLE_317945) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_317945) (@ (@ tptp.image_6029125644611338739at_nat BOUND_VARIABLE_317941) (@ _let_1 (@ tptp.collec213857154873943460nt_int BOUND_VARIABLE_317944)))) (@ (@ tptp.image_6029125644611338739at_nat BOUND_VARIABLE_317942) (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ ll_4120 BOUND_VARIABLE_317944)))))))))) (let ((_let_16301 (forall ((BOUND_VARIABLE_317904 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_317905 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_317906 tptp.set_nat) (BOUND_VARIABLE_317907 (-> tptp.nat Bool)) (BOUND_VARIABLE_317908 Bool)) (let ((_let_1 (@ tptp.inf_inf_set_nat BOUND_VARIABLE_317906))) (= (ll_3669 BOUND_VARIABLE_317904 BOUND_VARIABLE_317905 BOUND_VARIABLE_317906 BOUND_VARIABLE_317907 BOUND_VARIABLE_317908) (@ (@ (@ tptp.if_set3208018901896979469at_nat BOUND_VARIABLE_317908) (@ (@ tptp.image_2499013659892586576at_nat BOUND_VARIABLE_317904) (@ _let_1 (@ tptp.collect_nat BOUND_VARIABLE_317907)))) (@ (@ tptp.image_2499013659892586576at_nat BOUND_VARIABLE_317905) (@ _let_1 (@ tptp.collect_nat (@ ll_4119 BOUND_VARIABLE_317907)))))))))) (let ((_let_16302 (forall ((BOUND_VARIABLE_317896 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_317897 tptp.product_prod_nat_nat)) (= (not (@ BOUND_VARIABLE_317896 BOUND_VARIABLE_317897)) (ll_3668 BOUND_VARIABLE_317896 BOUND_VARIABLE_317897))))) (let ((_let_16303 (forall ((BOUND_VARIABLE_317888 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_317889 tptp.product_prod_int_int)) (= (not (@ BOUND_VARIABLE_317888 BOUND_VARIABLE_317889)) (ll_3667 BOUND_VARIABLE_317888 BOUND_VARIABLE_317889))))) (let ((_let_16304 (forall ((BOUND_VARIABLE_317880 (-> tptp.nat Bool)) (BOUND_VARIABLE_317881 tptp.nat)) (= (not (@ BOUND_VARIABLE_317880 BOUND_VARIABLE_317881)) (ll_3666 BOUND_VARIABLE_317880 BOUND_VARIABLE_317881))))) (let ((_let_16305 (forall ((BOUND_VARIABLE_317843 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_317844 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_317845 tptp.set_nat) (BOUND_VARIABLE_317846 (-> tptp.nat Bool)) (BOUND_VARIABLE_317847 Bool)) (let ((_let_1 (@ tptp.inf_inf_set_nat BOUND_VARIABLE_317845))) (= (ll_3665 BOUND_VARIABLE_317843 BOUND_VARIABLE_317844 BOUND_VARIABLE_317845 BOUND_VARIABLE_317846 BOUND_VARIABLE_317847) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_317847) (@ (@ tptp.image_nat_nat BOUND_VARIABLE_317843) (@ _let_1 (@ tptp.collect_nat BOUND_VARIABLE_317846)))) (@ (@ tptp.image_nat_nat BOUND_VARIABLE_317844) (@ _let_1 (@ tptp.collect_nat (@ ll_4118 BOUND_VARIABLE_317846)))))))))) (let ((_let_16306 (forall ((BOUND_VARIABLE_317806 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_317807 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_317808 tptp.set_int) (BOUND_VARIABLE_317809 (-> tptp.int Bool)) (BOUND_VARIABLE_317810 Bool)) (let ((_let_1 (@ tptp.inf_inf_set_int BOUND_VARIABLE_317808))) (= (ll_3664 BOUND_VARIABLE_317806 BOUND_VARIABLE_317807 BOUND_VARIABLE_317808 BOUND_VARIABLE_317809 BOUND_VARIABLE_317810) (@ (@ (@ tptp.if_set_nat BOUND_VARIABLE_317810) (@ (@ tptp.image_int_nat BOUND_VARIABLE_317806) (@ _let_1 (@ tptp.collect_int BOUND_VARIABLE_317809)))) (@ (@ tptp.image_int_nat BOUND_VARIABLE_317807) (@ _let_1 (@ tptp.collect_int (@ ll_4117 BOUND_VARIABLE_317809)))))))))) (let ((_let_16307 (forall ((BOUND_VARIABLE_317768 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_317769 tptp.nat)) (= (ll_3663 BOUND_VARIABLE_317768 BOUND_VARIABLE_317769) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4116 BOUND_VARIABLE_317768) BOUND_VARIABLE_317769)))))) (let ((_let_16308 (forall ((BOUND_VARIABLE_317758 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317759 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317760 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317758) (@ BOUND_VARIABLE_317759 BOUND_VARIABLE_317760)) (ll_3662 BOUND_VARIABLE_317758 BOUND_VARIABLE_317759 BOUND_VARIABLE_317760))))) (let ((_let_16309 (forall ((BOUND_VARIABLE_317748 (-> Bool tptp.int)) (BOUND_VARIABLE_317749 (-> Bool tptp.set_o)) (BOUND_VARIABLE_317750 Bool)) (= (@ (@ tptp.image_o_int BOUND_VARIABLE_317748) (@ BOUND_VARIABLE_317749 BOUND_VARIABLE_317750)) (ll_3661 BOUND_VARIABLE_317748 BOUND_VARIABLE_317749 BOUND_VARIABLE_317750))))) (let ((_let_16310 (forall ((BOUND_VARIABLE_317738 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_317739 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_317740 Bool)) (= (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_317738) (@ BOUND_VARIABLE_317739 BOUND_VARIABLE_317740)) (ll_3660 BOUND_VARIABLE_317738 BOUND_VARIABLE_317739 BOUND_VARIABLE_317740))))) (let ((_let_16311 (forall ((BOUND_VARIABLE_317728 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317729 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317730 Bool)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317728) (@ BOUND_VARIABLE_317729 BOUND_VARIABLE_317730)) (ll_3659 BOUND_VARIABLE_317728 BOUND_VARIABLE_317729 BOUND_VARIABLE_317730))))) (let ((_let_16312 (forall ((BOUND_VARIABLE_317718 (-> Bool tptp.int)) (BOUND_VARIABLE_317719 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_317720 tptp.product_unit)) (= (@ (@ tptp.image_o_int BOUND_VARIABLE_317718) (@ BOUND_VARIABLE_317719 BOUND_VARIABLE_317720)) (ll_3658 BOUND_VARIABLE_317718 BOUND_VARIABLE_317719 BOUND_VARIABLE_317720))))) (let ((_let_16313 (forall ((BOUND_VARIABLE_317708 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_317709 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_317710 tptp.product_unit)) (= (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_317708) (@ BOUND_VARIABLE_317709 BOUND_VARIABLE_317710)) (ll_3657 BOUND_VARIABLE_317708 BOUND_VARIABLE_317709 BOUND_VARIABLE_317710))))) (let ((_let_16314 (forall ((BOUND_VARIABLE_317698 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317699 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317700 tptp.product_unit)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317698) (@ BOUND_VARIABLE_317699 BOUND_VARIABLE_317700)) (ll_3656 BOUND_VARIABLE_317698 BOUND_VARIABLE_317699 BOUND_VARIABLE_317700))))) (let ((_let_16315 (forall ((BOUND_VARIABLE_317688 (-> Bool tptp.int)) (BOUND_VARIABLE_317689 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_317690 tptp.int)) (= (@ (@ tptp.image_o_int BOUND_VARIABLE_317688) (@ BOUND_VARIABLE_317689 BOUND_VARIABLE_317690)) (ll_3655 BOUND_VARIABLE_317688 BOUND_VARIABLE_317689 BOUND_VARIABLE_317690))))) (let ((_let_16316 (forall ((BOUND_VARIABLE_317678 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_317679 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_317680 tptp.int)) (= (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_317678) (@ BOUND_VARIABLE_317679 BOUND_VARIABLE_317680)) (ll_3654 BOUND_VARIABLE_317678 BOUND_VARIABLE_317679 BOUND_VARIABLE_317680))))) (let ((_let_16317 (forall ((BOUND_VARIABLE_317668 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317669 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_317670 tptp.int)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317668) (@ BOUND_VARIABLE_317669 BOUND_VARIABLE_317670)) (ll_3653 BOUND_VARIABLE_317668 BOUND_VARIABLE_317669 BOUND_VARIABLE_317670))))) (let ((_let_16318 (forall ((BOUND_VARIABLE_317658 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317659 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317660 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317658) (@ BOUND_VARIABLE_317659 BOUND_VARIABLE_317660)) (ll_3652 BOUND_VARIABLE_317658 BOUND_VARIABLE_317659 BOUND_VARIABLE_317660))))) (let ((_let_16319 (forall ((BOUND_VARIABLE_317648 (-> Bool tptp.int)) (BOUND_VARIABLE_317649 (-> Bool tptp.set_o)) (BOUND_VARIABLE_317650 Bool)) (= (@ (@ tptp.image_o_int BOUND_VARIABLE_317648) (@ BOUND_VARIABLE_317649 BOUND_VARIABLE_317650)) (ll_3651 BOUND_VARIABLE_317648 BOUND_VARIABLE_317649 BOUND_VARIABLE_317650))))) (let ((_let_16320 (forall ((BOUND_VARIABLE_317638 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_317639 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_317640 Bool)) (= (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_317638) (@ BOUND_VARIABLE_317639 BOUND_VARIABLE_317640)) (ll_3650 BOUND_VARIABLE_317638 BOUND_VARIABLE_317639 BOUND_VARIABLE_317640))))) (let ((_let_16321 (forall ((BOUND_VARIABLE_317628 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317629 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317630 Bool)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317628) (@ BOUND_VARIABLE_317629 BOUND_VARIABLE_317630)) (ll_3649 BOUND_VARIABLE_317628 BOUND_VARIABLE_317629 BOUND_VARIABLE_317630))))) (let ((_let_16322 (forall ((BOUND_VARIABLE_317618 (-> Bool tptp.int)) (BOUND_VARIABLE_317619 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_317620 tptp.product_unit)) (= (@ (@ tptp.image_o_int BOUND_VARIABLE_317618) (@ BOUND_VARIABLE_317619 BOUND_VARIABLE_317620)) (ll_3648 BOUND_VARIABLE_317618 BOUND_VARIABLE_317619 BOUND_VARIABLE_317620))))) (let ((_let_16323 (forall ((BOUND_VARIABLE_317608 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_317609 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_317610 tptp.product_unit)) (= (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_317608) (@ BOUND_VARIABLE_317609 BOUND_VARIABLE_317610)) (ll_3647 BOUND_VARIABLE_317608 BOUND_VARIABLE_317609 BOUND_VARIABLE_317610))))) (let ((_let_16324 (forall ((BOUND_VARIABLE_317598 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317599 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317600 tptp.product_unit)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317598) (@ BOUND_VARIABLE_317599 BOUND_VARIABLE_317600)) (ll_3646 BOUND_VARIABLE_317598 BOUND_VARIABLE_317599 BOUND_VARIABLE_317600))))) (let ((_let_16325 (forall ((BOUND_VARIABLE_317588 (-> Bool tptp.int)) (BOUND_VARIABLE_317589 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_317590 tptp.int)) (= (@ (@ tptp.image_o_int BOUND_VARIABLE_317588) (@ BOUND_VARIABLE_317589 BOUND_VARIABLE_317590)) (ll_3645 BOUND_VARIABLE_317588 BOUND_VARIABLE_317589 BOUND_VARIABLE_317590))))) (let ((_let_16326 (forall ((BOUND_VARIABLE_317578 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_317579 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_317580 tptp.int)) (= (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_317578) (@ BOUND_VARIABLE_317579 BOUND_VARIABLE_317580)) (ll_3644 BOUND_VARIABLE_317578 BOUND_VARIABLE_317579 BOUND_VARIABLE_317580))))) (let ((_let_16327 (forall ((BOUND_VARIABLE_317568 (-> tptp.int tptp.int)) (BOUND_VARIABLE_317569 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_317570 tptp.int)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_317568) (@ BOUND_VARIABLE_317569 BOUND_VARIABLE_317570)) (ll_3643 BOUND_VARIABLE_317568 BOUND_VARIABLE_317569 BOUND_VARIABLE_317570))))) (let ((_let_16328 (forall ((BOUND_VARIABLE_317558 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_317559 tptp.set_nat) (BOUND_VARIABLE_317560 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_317558 BOUND_VARIABLE_317560)) BOUND_VARIABLE_317559) (ll_3642 BOUND_VARIABLE_317558 BOUND_VARIABLE_317559 BOUND_VARIABLE_317560))))) (let ((_let_16329 (forall ((BOUND_VARIABLE_317548 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_317549 tptp.set_nat) (BOUND_VARIABLE_317550 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat (@ BOUND_VARIABLE_317548 BOUND_VARIABLE_317550)) BOUND_VARIABLE_317549) (ll_3641 BOUND_VARIABLE_317548 BOUND_VARIABLE_317549 BOUND_VARIABLE_317550))))) (let ((_let_16330 (forall ((BOUND_VARIABLE_317538 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317539 tptp.set_int) (BOUND_VARIABLE_317540 tptp.nat)) (= (@ (@ tptp.inf_inf_set_int (@ BOUND_VARIABLE_317538 BOUND_VARIABLE_317540)) BOUND_VARIABLE_317539) (ll_3640 BOUND_VARIABLE_317538 BOUND_VARIABLE_317539 BOUND_VARIABLE_317540))))) (let ((_let_16331 (forall ((BOUND_VARIABLE_317528 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317529 tptp.set_int) (BOUND_VARIABLE_317530 tptp.nat)) (= (@ (@ tptp.inf_inf_set_int (@ BOUND_VARIABLE_317528 BOUND_VARIABLE_317530)) BOUND_VARIABLE_317529) (ll_3639 BOUND_VARIABLE_317528 BOUND_VARIABLE_317529 BOUND_VARIABLE_317530))))) (let ((_let_16332 (forall ((BOUND_VARIABLE_317518 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317519 tptp.set_int) (BOUND_VARIABLE_317520 Bool)) (= (@ (@ tptp.inf_inf_set_int (@ BOUND_VARIABLE_317518 BOUND_VARIABLE_317520)) BOUND_VARIABLE_317519) (ll_3638 BOUND_VARIABLE_317518 BOUND_VARIABLE_317519 BOUND_VARIABLE_317520))))) (let ((_let_16333 (forall ((BOUND_VARIABLE_317508 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317509 tptp.set_int) (BOUND_VARIABLE_317510 Bool)) (= (@ (@ tptp.inf_inf_set_int (@ BOUND_VARIABLE_317508 BOUND_VARIABLE_317510)) BOUND_VARIABLE_317509) (ll_3637 BOUND_VARIABLE_317508 BOUND_VARIABLE_317509 BOUND_VARIABLE_317510))))) (let ((_let_16334 (forall ((BOUND_VARIABLE_317498 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317499 tptp.set_int) (BOUND_VARIABLE_317500 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_int (@ BOUND_VARIABLE_317498 BOUND_VARIABLE_317500)) BOUND_VARIABLE_317499) (ll_3636 BOUND_VARIABLE_317498 BOUND_VARIABLE_317499 BOUND_VARIABLE_317500))))) (let ((_let_16335 (forall ((BOUND_VARIABLE_317488 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317489 tptp.set_int) (BOUND_VARIABLE_317490 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_int (@ BOUND_VARIABLE_317488 BOUND_VARIABLE_317490)) BOUND_VARIABLE_317489) (ll_3635 BOUND_VARIABLE_317488 BOUND_VARIABLE_317489 BOUND_VARIABLE_317490))))) (let ((_let_16336 (forall ((BOUND_VARIABLE_317478 tptp.set_nat) (BOUND_VARIABLE_317479 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_317480 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_317478) (@ BOUND_VARIABLE_317479 BOUND_VARIABLE_317480)) (ll_3634 BOUND_VARIABLE_317478 BOUND_VARIABLE_317479 BOUND_VARIABLE_317480))))) (let ((_let_16337 (forall ((BOUND_VARIABLE_317468 tptp.set_nat) (BOUND_VARIABLE_317469 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_317470 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_317468) (@ BOUND_VARIABLE_317469 BOUND_VARIABLE_317470)) (ll_3633 BOUND_VARIABLE_317468 BOUND_VARIABLE_317469 BOUND_VARIABLE_317470))))) (let ((_let_16338 (forall ((BOUND_VARIABLE_317458 tptp.set_int) (BOUND_VARIABLE_317459 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317460 tptp.nat)) (= (@ (@ tptp.inf_inf_set_int BOUND_VARIABLE_317458) (@ BOUND_VARIABLE_317459 BOUND_VARIABLE_317460)) (ll_3632 BOUND_VARIABLE_317458 BOUND_VARIABLE_317459 BOUND_VARIABLE_317460))))) (let ((_let_16339 (forall ((BOUND_VARIABLE_317448 tptp.set_int) (BOUND_VARIABLE_317449 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317450 tptp.nat)) (= (@ (@ tptp.inf_inf_set_int BOUND_VARIABLE_317448) (@ BOUND_VARIABLE_317449 BOUND_VARIABLE_317450)) (ll_3631 BOUND_VARIABLE_317448 BOUND_VARIABLE_317449 BOUND_VARIABLE_317450))))) (let ((_let_16340 (forall ((BOUND_VARIABLE_317438 tptp.set_int) (BOUND_VARIABLE_317439 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317440 Bool)) (= (@ (@ tptp.inf_inf_set_int BOUND_VARIABLE_317438) (@ BOUND_VARIABLE_317439 BOUND_VARIABLE_317440)) (ll_3630 BOUND_VARIABLE_317438 BOUND_VARIABLE_317439 BOUND_VARIABLE_317440))))) (let ((_let_16341 (forall ((BOUND_VARIABLE_317428 tptp.set_int) (BOUND_VARIABLE_317429 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317430 Bool)) (= (@ (@ tptp.inf_inf_set_int BOUND_VARIABLE_317428) (@ BOUND_VARIABLE_317429 BOUND_VARIABLE_317430)) (ll_3629 BOUND_VARIABLE_317428 BOUND_VARIABLE_317429 BOUND_VARIABLE_317430))))) (let ((_let_16342 (forall ((BOUND_VARIABLE_317418 tptp.set_int) (BOUND_VARIABLE_317419 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317420 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_int BOUND_VARIABLE_317418) (@ BOUND_VARIABLE_317419 BOUND_VARIABLE_317420)) (ll_3628 BOUND_VARIABLE_317418 BOUND_VARIABLE_317419 BOUND_VARIABLE_317420))))) (let ((_let_16343 (forall ((BOUND_VARIABLE_317408 tptp.set_int) (BOUND_VARIABLE_317409 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317410 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_int BOUND_VARIABLE_317408) (@ BOUND_VARIABLE_317409 BOUND_VARIABLE_317410)) (ll_3627 BOUND_VARIABLE_317408 BOUND_VARIABLE_317409 BOUND_VARIABLE_317410))))) (let ((_let_16344 (forall ((BOUND_VARIABLE_317365 tptp.int) (BOUND_VARIABLE_317366 tptp.set_int) (BOUND_VARIABLE_317367 tptp.int)) (= (ll_3626 BOUND_VARIABLE_317365 BOUND_VARIABLE_317366 BOUND_VARIABLE_317367) (@ tptp.collec213857154873943460nt_int (@ (@ (@ ll_4115 BOUND_VARIABLE_317367) BOUND_VARIABLE_317365) BOUND_VARIABLE_317366)))))) (let ((_let_16345 (forall ((BOUND_VARIABLE_317321 tptp.int) (BOUND_VARIABLE_317322 tptp.set_int) (BOUND_VARIABLE_317323 tptp.int)) (= (ll_3625 BOUND_VARIABLE_317321 BOUND_VARIABLE_317322 BOUND_VARIABLE_317323) (@ tptp.collec213857154873943460nt_int (@ (@ (@ ll_4114 BOUND_VARIABLE_317323) BOUND_VARIABLE_317321) BOUND_VARIABLE_317322)))))) (let ((_let_16346 (forall ((BOUND_VARIABLE_317285 tptp.set_int) (BOUND_VARIABLE_317286 tptp.int)) (= (ll_3624 BOUND_VARIABLE_317285 BOUND_VARIABLE_317286) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4113 BOUND_VARIABLE_317286) BOUND_VARIABLE_317285)))))) (let ((_let_16347 (forall ((BOUND_VARIABLE_317275 tptp.nat) (BOUND_VARIABLE_317276 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_317275) BOUND_VARIABLE_317276)) tptp.bot_bo7038385379056416535at_num) (ll_3623 BOUND_VARIABLE_317275 BOUND_VARIABLE_317276))))) (let ((_let_16348 (forall ((BOUND_VARIABLE_317265 tptp.nat) (BOUND_VARIABLE_317266 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_317265) BOUND_VARIABLE_317266)) tptp.bot_bo7038385379056416535at_num) (ll_3622 BOUND_VARIABLE_317265 BOUND_VARIABLE_317266))))) (let ((_let_16349 (forall ((BOUND_VARIABLE_317255 tptp.set_nat) (BOUND_VARIABLE_317256 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_317257 tptp.nat)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_317255) (@ BOUND_VARIABLE_317256 BOUND_VARIABLE_317257)) (ll_3621 BOUND_VARIABLE_317255 BOUND_VARIABLE_317256 BOUND_VARIABLE_317257))))) (let ((_let_16350 (forall ((BOUND_VARIABLE_317245 tptp.set_nat) (BOUND_VARIABLE_317246 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_317247 Bool)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_317245) (@ BOUND_VARIABLE_317246 BOUND_VARIABLE_317247)) (ll_3620 BOUND_VARIABLE_317245 BOUND_VARIABLE_317246 BOUND_VARIABLE_317247))))) (let ((_let_16351 (forall ((BOUND_VARIABLE_317235 tptp.set_nat) (BOUND_VARIABLE_317236 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_317237 tptp.product_prod_nat_nat)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_317235) (@ BOUND_VARIABLE_317236 BOUND_VARIABLE_317237)) (ll_3619 BOUND_VARIABLE_317235 BOUND_VARIABLE_317236 BOUND_VARIABLE_317237))))) (let ((_let_16352 (forall ((BOUND_VARIABLE_317225 tptp.set_nat) (BOUND_VARIABLE_317226 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_317227 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_317225) (@ BOUND_VARIABLE_317226 BOUND_VARIABLE_317227)) (ll_3618 BOUND_VARIABLE_317225 BOUND_VARIABLE_317226 BOUND_VARIABLE_317227))))) (let ((_let_16353 (forall ((BOUND_VARIABLE_317215 tptp.set_nat) (BOUND_VARIABLE_317216 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_317217 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_317215) (@ BOUND_VARIABLE_317216 BOUND_VARIABLE_317217)) (ll_3617 BOUND_VARIABLE_317215 BOUND_VARIABLE_317216 BOUND_VARIABLE_317217))))) (let ((_let_16354 (forall ((BOUND_VARIABLE_317205 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_317206 tptp.set_nat) (BOUND_VARIABLE_317207 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_nat (@ BOUND_VARIABLE_317205 BOUND_VARIABLE_317207)) BOUND_VARIABLE_317206) (ll_3616 BOUND_VARIABLE_317205 BOUND_VARIABLE_317206 BOUND_VARIABLE_317207))))) (let ((_let_16355 (forall ((BOUND_VARIABLE_317195 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_317196 tptp.set_int) (BOUND_VARIABLE_317197 tptp.nat)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_317195 BOUND_VARIABLE_317197)) BOUND_VARIABLE_317196) (ll_3615 BOUND_VARIABLE_317195 BOUND_VARIABLE_317196 BOUND_VARIABLE_317197))))) (let ((_let_16356 (forall ((BOUND_VARIABLE_317185 (-> Bool tptp.set_int)) (BOUND_VARIABLE_317186 tptp.set_int) (BOUND_VARIABLE_317187 Bool)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_317185 BOUND_VARIABLE_317187)) BOUND_VARIABLE_317186) (ll_3614 BOUND_VARIABLE_317185 BOUND_VARIABLE_317186 BOUND_VARIABLE_317187))))) (let ((_let_16357 (forall ((BOUND_VARIABLE_317175 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_317176 tptp.set_int) (BOUND_VARIABLE_317177 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_317175 BOUND_VARIABLE_317177)) BOUND_VARIABLE_317176) (ll_3613 BOUND_VARIABLE_317175 BOUND_VARIABLE_317176 BOUND_VARIABLE_317177))))) (let ((_let_16358 (forall ((BOUND_VARIABLE_317155 tptp.set_set_nat) (BOUND_VARIABLE_317156 tptp.nat)) (= (ll_3612 BOUND_VARIABLE_317155 BOUND_VARIABLE_317156) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_317156)) (@ (@ tptp.image_nat_o_set_nat tptp.collect_nat) (@ (@ tptp.image_set_nat_nat_o ll_4112) BOUND_VARIABLE_317155)))))))) (let ((_let_16359 (forall ((BOUND_VARIABLE_317145 tptp.set_set_nat) (BOUND_VARIABLE_317146 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_317146)) BOUND_VARIABLE_317145)) (ll_3611 BOUND_VARIABLE_317145 BOUND_VARIABLE_317146))))) (let ((_let_16360 (forall ((BOUND_VARIABLE_317125 tptp.set_set_int) (BOUND_VARIABLE_317126 tptp.int)) (= (ll_3610 BOUND_VARIABLE_317125 BOUND_VARIABLE_317126) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_317126)) (@ (@ tptp.image_int_o_set_int tptp.collect_int) (@ (@ tptp.image_set_int_int_o ll_4111) BOUND_VARIABLE_317125)))))))) (let ((_let_16361 (forall ((BOUND_VARIABLE_317115 tptp.set_set_int) (BOUND_VARIABLE_317116 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_317116)) BOUND_VARIABLE_317115)) (ll_3609 BOUND_VARIABLE_317115 BOUND_VARIABLE_317116))))) (let ((_let_16362 (forall ((BOUND_VARIABLE_317095 tptp.set_set_o) (BOUND_VARIABLE_317096 Bool)) (= (ll_3608 BOUND_VARIABLE_317095 BOUND_VARIABLE_317096) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_317096)) (@ (@ tptp.image_o_o_set_o tptp.collect_o) (@ (@ tptp.image_set_o_o_o ll_4110) BOUND_VARIABLE_317095)))))))) (let ((_let_16363 (forall ((BOUND_VARIABLE_317085 tptp.set_set_o) (BOUND_VARIABLE_317086 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_317086)) BOUND_VARIABLE_317085)) (ll_3607 BOUND_VARIABLE_317085 BOUND_VARIABLE_317086))))) (let ((_let_16364 (forall ((BOUND_VARIABLE_317065 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_317066 tptp.product_prod_nat_nat)) (= (ll_3606 BOUND_VARIABLE_317065 BOUND_VARIABLE_317066) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_317066)) (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_5253903537071781336_nat_o ll_4109) BOUND_VARIABLE_317065)))))))) (let ((_let_16365 (forall ((BOUND_VARIABLE_317055 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_317056 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_317056)) BOUND_VARIABLE_317055)) (ll_3605 BOUND_VARIABLE_317055 BOUND_VARIABLE_317056))))) (let ((_let_16366 (forall ((BOUND_VARIABLE_317035 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_317036 tptp.produc3843707927480180839at_nat)) (= (ll_3604 BOUND_VARIABLE_317035 BOUND_VARIABLE_317036) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_317036)) (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_4859512832475012440_nat_o ll_4108) BOUND_VARIABLE_317035)))))))) (let ((_let_16367 (forall ((BOUND_VARIABLE_317025 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_317026 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_317026)) BOUND_VARIABLE_317025)) (ll_3603 BOUND_VARIABLE_317025 BOUND_VARIABLE_317026))))) (let ((_let_16368 (forall ((BOUND_VARIABLE_317005 tptp.set_set_nat) (BOUND_VARIABLE_317006 tptp.nat)) (= (ll_3602 BOUND_VARIABLE_317005 BOUND_VARIABLE_317006) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_317006)) (@ (@ tptp.image_nat_o_set_nat tptp.collect_nat) (@ (@ tptp.image_set_nat_nat_o ll_4107) BOUND_VARIABLE_317005)))))))) (let ((_let_16369 (forall ((BOUND_VARIABLE_316995 tptp.set_set_nat) (BOUND_VARIABLE_316996 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_316996)) BOUND_VARIABLE_316995)) (ll_3601 BOUND_VARIABLE_316995 BOUND_VARIABLE_316996))))) (let ((_let_16370 (forall ((BOUND_VARIABLE_316975 tptp.set_set_int) (BOUND_VARIABLE_316976 tptp.int)) (= (ll_3600 BOUND_VARIABLE_316975 BOUND_VARIABLE_316976) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_316976)) (@ (@ tptp.image_int_o_set_int tptp.collect_int) (@ (@ tptp.image_set_int_int_o ll_4106) BOUND_VARIABLE_316975)))))))) (let ((_let_16371 (forall ((BOUND_VARIABLE_316965 tptp.set_set_int) (BOUND_VARIABLE_316966 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_316966)) BOUND_VARIABLE_316965)) (ll_3599 BOUND_VARIABLE_316965 BOUND_VARIABLE_316966))))) (let ((_let_16372 (forall ((BOUND_VARIABLE_316945 tptp.set_set_o) (BOUND_VARIABLE_316946 Bool)) (= (ll_3598 BOUND_VARIABLE_316945 BOUND_VARIABLE_316946) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_316946)) (@ (@ tptp.image_o_o_set_o tptp.collect_o) (@ (@ tptp.image_set_o_o_o ll_4105) BOUND_VARIABLE_316945)))))))) (let ((_let_16373 (forall ((BOUND_VARIABLE_316935 tptp.set_set_o) (BOUND_VARIABLE_316936 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_316936)) BOUND_VARIABLE_316935)) (ll_3597 BOUND_VARIABLE_316935 BOUND_VARIABLE_316936))))) (let ((_let_16374 (forall ((BOUND_VARIABLE_316915 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316916 tptp.product_prod_nat_nat)) (= (ll_3596 BOUND_VARIABLE_316915 BOUND_VARIABLE_316916) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_316916)) (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_5253903537071781336_nat_o ll_4104) BOUND_VARIABLE_316915)))))))) (let ((_let_16375 (forall ((BOUND_VARIABLE_316905 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316906 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_316906)) BOUND_VARIABLE_316905)) (ll_3595 BOUND_VARIABLE_316905 BOUND_VARIABLE_316906))))) (let ((_let_16376 (forall ((BOUND_VARIABLE_316885 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316886 tptp.produc3843707927480180839at_nat)) (= (ll_3594 BOUND_VARIABLE_316885 BOUND_VARIABLE_316886) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_316886)) (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_4859512832475012440_nat_o ll_4103) BOUND_VARIABLE_316885)))))))) (let ((_let_16377 (forall ((BOUND_VARIABLE_316875 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316876 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_316876)) BOUND_VARIABLE_316875)) (ll_3593 BOUND_VARIABLE_316875 BOUND_VARIABLE_316876))))) (let ((_let_16378 (forall ((BOUND_VARIABLE_316853 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316854 tptp.product_prod_int_int)) (= (ll_3592 BOUND_VARIABLE_316853 BOUND_VARIABLE_316854) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_316854)) (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) (@ (@ tptp.image_1365644804893650413_int_o ll_45) (@ (@ tptp.image_4446226961036766042_int_o ll_4102) BOUND_VARIABLE_316853))))))))) (let ((_let_16379 (forall ((BOUND_VARIABLE_316843 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316844 tptp.product_prod_int_int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_316844)) BOUND_VARIABLE_316843)) (ll_3591 BOUND_VARIABLE_316843 BOUND_VARIABLE_316844))))) (let ((_let_16380 (forall ((BOUND_VARIABLE_316821 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316822 tptp.product_prod_nat_nat)) (= (ll_3590 BOUND_VARIABLE_316821 BOUND_VARIABLE_316822) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_316822)) (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_7429393840292777309_nat_o tptp.produc6081775807080527818_nat_o) (@ (@ tptp.image_6923511907955291850_nat_o ll_4101) BOUND_VARIABLE_316821))))))))) (let ((_let_16381 (forall ((BOUND_VARIABLE_316811 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316812 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_316812)) BOUND_VARIABLE_316811)) (ll_3589 BOUND_VARIABLE_316811 BOUND_VARIABLE_316812))))) (let ((_let_16382 (forall ((BOUND_VARIABLE_316800 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_316801 tptp.nat) (BOUND_VARIABLE_316802 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_316801) BOUND_VARIABLE_316802)) BOUND_VARIABLE_316800) (ll_3588 BOUND_VARIABLE_316800 BOUND_VARIABLE_316801 BOUND_VARIABLE_316802))))) (let ((_let_16383 (forall ((BOUND_VARIABLE_316778 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316779 tptp.produc3843707927480180839at_nat)) (= (ll_3587 BOUND_VARIABLE_316778 BOUND_VARIABLE_316779) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_316779)) (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_6226802281960588479_nat_o tptp.produc410239310623530412_nat_o) (@ (@ tptp.image_6595146019508340652_nat_o ll_4100) BOUND_VARIABLE_316778))))))))) (let ((_let_16384 (forall ((BOUND_VARIABLE_316768 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316769 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_316769)) BOUND_VARIABLE_316768)) (ll_3586 BOUND_VARIABLE_316768 BOUND_VARIABLE_316769))))) (let ((_let_16385 (forall ((BOUND_VARIABLE_316757 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_316758 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_316759 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_316758) BOUND_VARIABLE_316759)) BOUND_VARIABLE_316757) (ll_3585 BOUND_VARIABLE_316757 BOUND_VARIABLE_316758 BOUND_VARIABLE_316759))))) (let ((_let_16386 (forall ((BOUND_VARIABLE_316734 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316735 tptp.product_prod_int_int)) (= (ll_3584 BOUND_VARIABLE_316734 BOUND_VARIABLE_316735) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_316735)) (@ (@ tptp.image_4447441447610994254nt_int tptp.collec213857154873943460nt_int) (@ (@ tptp.image_1365644804893650413_int_o ll_45) (@ (@ tptp.image_4446226961036766042_int_o ll_4099) BOUND_VARIABLE_316734))))))))) (let ((_let_16387 (forall ((BOUND_VARIABLE_316724 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_316725 tptp.product_prod_int_int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_316725)) BOUND_VARIABLE_316724)) (ll_3583 BOUND_VARIABLE_316724 BOUND_VARIABLE_316725))))) (let ((_let_16388 (forall ((BOUND_VARIABLE_316702 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316703 tptp.product_prod_nat_nat)) (= (ll_3582 BOUND_VARIABLE_316702 BOUND_VARIABLE_316703) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_316703)) (@ (@ tptp.image_7124889717316225246at_nat tptp.collec3392354462482085612at_nat) (@ (@ tptp.image_7429393840292777309_nat_o tptp.produc6081775807080527818_nat_o) (@ (@ tptp.image_6923511907955291850_nat_o ll_4098) BOUND_VARIABLE_316702))))))))) (let ((_let_16389 (forall ((BOUND_VARIABLE_316692 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316693 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_316693)) BOUND_VARIABLE_316692)) (ll_3581 BOUND_VARIABLE_316692 BOUND_VARIABLE_316693))))) (let ((_let_16390 (forall ((BOUND_VARIABLE_316681 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_316682 tptp.nat) (BOUND_VARIABLE_316683 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_316682) BOUND_VARIABLE_316683)) BOUND_VARIABLE_316681) (ll_3580 BOUND_VARIABLE_316681 BOUND_VARIABLE_316682 BOUND_VARIABLE_316683))))) (let ((_let_16391 (forall ((BOUND_VARIABLE_316659 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316660 tptp.produc3843707927480180839at_nat)) (= (ll_3579 BOUND_VARIABLE_316659 BOUND_VARIABLE_316660) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_316660)) (@ (@ tptp.image_4902389024228248874at_nat tptp.collec6321179662152712658at_nat) (@ (@ tptp.image_6226802281960588479_nat_o tptp.produc410239310623530412_nat_o) (@ (@ tptp.image_6595146019508340652_nat_o ll_4097) BOUND_VARIABLE_316659))))))))) (let ((_let_16392 (forall ((BOUND_VARIABLE_316649 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_316650 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_316650)) BOUND_VARIABLE_316649)) (ll_3578 BOUND_VARIABLE_316649 BOUND_VARIABLE_316650))))) (let ((_let_16393 (forall ((BOUND_VARIABLE_316638 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_316639 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_316640 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_316639) BOUND_VARIABLE_316640)) BOUND_VARIABLE_316638) (ll_3577 BOUND_VARIABLE_316638 BOUND_VARIABLE_316639 BOUND_VARIABLE_316640))))) (let ((_let_16394 (forall ((BOUND_VARIABLE_316590 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316591 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316592 tptp.nat)) (= (ll_3576 BOUND_VARIABLE_316590 BOUND_VARIABLE_316591 BOUND_VARIABLE_316592) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ ll_4096 BOUND_VARIABLE_316590) BOUND_VARIABLE_316591) BOUND_VARIABLE_316592)))))) (let ((_let_16395 (forall ((BOUND_VARIABLE_316552 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316553 tptp.nat)) (= (ll_3575 BOUND_VARIABLE_316552 BOUND_VARIABLE_316553) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4095 BOUND_VARIABLE_316552) BOUND_VARIABLE_316553)))))) (let ((_let_16396 (forall ((BOUND_VARIABLE_316514 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316515 tptp.nat)) (= (ll_3574 BOUND_VARIABLE_316514 BOUND_VARIABLE_316515) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4094 BOUND_VARIABLE_316514) BOUND_VARIABLE_316515)))))) (let ((_let_16397 (forall ((BOUND_VARIABLE_316478 tptp.set_nat) (BOUND_VARIABLE_316479 tptp.nat)) (= (ll_3573 BOUND_VARIABLE_316478 BOUND_VARIABLE_316479) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4093 BOUND_VARIABLE_316479) BOUND_VARIABLE_316478)))))) (let ((_let_16398 (forall ((BOUND_VARIABLE_316442 tptp.set_nat) (BOUND_VARIABLE_316443 tptp.nat)) (= (ll_3572 BOUND_VARIABLE_316442 BOUND_VARIABLE_316443) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4092 BOUND_VARIABLE_316443) BOUND_VARIABLE_316442)))))) (let ((_let_16399 (forall ((BOUND_VARIABLE_316406 tptp.set_nat) (BOUND_VARIABLE_316407 tptp.nat)) (= (ll_3571 BOUND_VARIABLE_316406 BOUND_VARIABLE_316407) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4091 BOUND_VARIABLE_316407) BOUND_VARIABLE_316406)))))) (let ((_let_16400 (forall ((BOUND_VARIABLE_316368 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316369 tptp.nat)) (= (ll_3570 BOUND_VARIABLE_316368 BOUND_VARIABLE_316369) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4090 BOUND_VARIABLE_316368) BOUND_VARIABLE_316369)))))) (let ((_let_16401 (forall ((BOUND_VARIABLE_316330 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316331 tptp.nat)) (= (ll_3569 BOUND_VARIABLE_316330 BOUND_VARIABLE_316331) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4089 BOUND_VARIABLE_316330) BOUND_VARIABLE_316331)))))) (let ((_let_16402 (forall ((BOUND_VARIABLE_316292 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_316293 tptp.nat)) (= (ll_3568 BOUND_VARIABLE_316292 BOUND_VARIABLE_316293) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4088 BOUND_VARIABLE_316292) BOUND_VARIABLE_316293)))))) (let ((_let_16403 (forall ((BOUND_VARIABLE_316282 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_316283 tptp.set_nat) (BOUND_VARIABLE_316284 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_nat (@ BOUND_VARIABLE_316282 BOUND_VARIABLE_316284)) BOUND_VARIABLE_316283) (ll_3567 BOUND_VARIABLE_316282 BOUND_VARIABLE_316283 BOUND_VARIABLE_316284))))) (let ((_let_16404 (forall ((BOUND_VARIABLE_316272 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_316273 tptp.set_nat) (BOUND_VARIABLE_316274 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_nat (@ BOUND_VARIABLE_316272 BOUND_VARIABLE_316274)) BOUND_VARIABLE_316273) (ll_3566 BOUND_VARIABLE_316272 BOUND_VARIABLE_316273 BOUND_VARIABLE_316274))))) (let ((_let_16405 (forall ((BOUND_VARIABLE_316262 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_316263 tptp.set_int) (BOUND_VARIABLE_316264 tptp.nat)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_316262 BOUND_VARIABLE_316264)) BOUND_VARIABLE_316263) (ll_3565 BOUND_VARIABLE_316262 BOUND_VARIABLE_316263 BOUND_VARIABLE_316264))))) (let ((_let_16406 (forall ((BOUND_VARIABLE_316252 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_316253 tptp.set_int) (BOUND_VARIABLE_316254 tptp.nat)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_316252 BOUND_VARIABLE_316254)) BOUND_VARIABLE_316253) (ll_3564 BOUND_VARIABLE_316252 BOUND_VARIABLE_316253 BOUND_VARIABLE_316254))))) (let ((_let_16407 (forall ((BOUND_VARIABLE_316242 (-> Bool tptp.set_int)) (BOUND_VARIABLE_316243 tptp.set_int) (BOUND_VARIABLE_316244 Bool)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_316242 BOUND_VARIABLE_316244)) BOUND_VARIABLE_316243) (ll_3563 BOUND_VARIABLE_316242 BOUND_VARIABLE_316243 BOUND_VARIABLE_316244))))) (let ((_let_16408 (forall ((BOUND_VARIABLE_316232 (-> Bool tptp.set_int)) (BOUND_VARIABLE_316233 tptp.set_int) (BOUND_VARIABLE_316234 Bool)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_316232 BOUND_VARIABLE_316234)) BOUND_VARIABLE_316233) (ll_3562 BOUND_VARIABLE_316232 BOUND_VARIABLE_316233 BOUND_VARIABLE_316234))))) (let ((_let_16409 (forall ((BOUND_VARIABLE_316222 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_316223 tptp.set_int) (BOUND_VARIABLE_316224 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_316222 BOUND_VARIABLE_316224)) BOUND_VARIABLE_316223) (ll_3561 BOUND_VARIABLE_316222 BOUND_VARIABLE_316223 BOUND_VARIABLE_316224))))) (let ((_let_16410 (forall ((BOUND_VARIABLE_316212 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_316213 tptp.set_int) (BOUND_VARIABLE_316214 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_int (@ BOUND_VARIABLE_316212 BOUND_VARIABLE_316214)) BOUND_VARIABLE_316213) (ll_3560 BOUND_VARIABLE_316212 BOUND_VARIABLE_316213 BOUND_VARIABLE_316214))))) (let ((_let_16411 (forall ((BOUND_VARIABLE_316202 tptp.set_nat) (BOUND_VARIABLE_316203 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_316204 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_316202) (@ BOUND_VARIABLE_316203 BOUND_VARIABLE_316204)) (ll_3559 BOUND_VARIABLE_316202 BOUND_VARIABLE_316203 BOUND_VARIABLE_316204))))) (let ((_let_16412 (forall ((BOUND_VARIABLE_316192 tptp.set_nat) (BOUND_VARIABLE_316193 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_316194 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_316192) (@ BOUND_VARIABLE_316193 BOUND_VARIABLE_316194)) (ll_3558 BOUND_VARIABLE_316192 BOUND_VARIABLE_316193 BOUND_VARIABLE_316194))))) (let ((_let_16413 (forall ((BOUND_VARIABLE_316182 tptp.set_int) (BOUND_VARIABLE_316183 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_316184 tptp.nat)) (= (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_316182) (@ BOUND_VARIABLE_316183 BOUND_VARIABLE_316184)) (ll_3557 BOUND_VARIABLE_316182 BOUND_VARIABLE_316183 BOUND_VARIABLE_316184))))) (let ((_let_16414 (forall ((BOUND_VARIABLE_316172 tptp.set_int) (BOUND_VARIABLE_316173 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_316174 tptp.nat)) (= (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_316172) (@ BOUND_VARIABLE_316173 BOUND_VARIABLE_316174)) (ll_3556 BOUND_VARIABLE_316172 BOUND_VARIABLE_316173 BOUND_VARIABLE_316174))))) (let ((_let_16415 (forall ((BOUND_VARIABLE_316162 tptp.set_int) (BOUND_VARIABLE_316163 (-> Bool tptp.set_int)) (BOUND_VARIABLE_316164 Bool)) (= (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_316162) (@ BOUND_VARIABLE_316163 BOUND_VARIABLE_316164)) (ll_3555 BOUND_VARIABLE_316162 BOUND_VARIABLE_316163 BOUND_VARIABLE_316164))))) (let ((_let_16416 (forall ((BOUND_VARIABLE_316152 tptp.set_int) (BOUND_VARIABLE_316153 (-> Bool tptp.set_int)) (BOUND_VARIABLE_316154 Bool)) (= (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_316152) (@ BOUND_VARIABLE_316153 BOUND_VARIABLE_316154)) (ll_3554 BOUND_VARIABLE_316152 BOUND_VARIABLE_316153 BOUND_VARIABLE_316154))))) (let ((_let_16417 (forall ((BOUND_VARIABLE_316142 tptp.set_int) (BOUND_VARIABLE_316143 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_316144 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_316142) (@ BOUND_VARIABLE_316143 BOUND_VARIABLE_316144)) (ll_3553 BOUND_VARIABLE_316142 BOUND_VARIABLE_316143 BOUND_VARIABLE_316144))))) (let ((_let_16418 (forall ((BOUND_VARIABLE_316132 tptp.set_int) (BOUND_VARIABLE_316133 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_316134 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_316132) (@ BOUND_VARIABLE_316133 BOUND_VARIABLE_316134)) (ll_3552 BOUND_VARIABLE_316132 BOUND_VARIABLE_316133 BOUND_VARIABLE_316134))))) (let ((_let_16419 (forall ((BOUND_VARIABLE_316096 tptp.set_int) (BOUND_VARIABLE_316097 tptp.int)) (= (ll_3551 BOUND_VARIABLE_316096 BOUND_VARIABLE_316097) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4087 BOUND_VARIABLE_316097) BOUND_VARIABLE_316096)))))) (let ((_let_16420 (forall ((BOUND_VARIABLE_316060 tptp.set_nat) (BOUND_VARIABLE_316061 tptp.nat)) (= (ll_3550 BOUND_VARIABLE_316060 BOUND_VARIABLE_316061) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4086 BOUND_VARIABLE_316061) BOUND_VARIABLE_316060)))))) (let ((_let_16421 (forall ((BOUND_VARIABLE_316024 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_316025 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3549 BOUND_VARIABLE_316024 BOUND_VARIABLE_316025) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4085 BOUND_VARIABLE_316025) BOUND_VARIABLE_316024)))))) (let ((_let_16422 (forall ((BOUND_VARIABLE_316014 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_316015 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_316014) BOUND_VARIABLE_316015)) tptp.bot_bo4948859079157340979at_nat) (ll_3548 BOUND_VARIABLE_316014 BOUND_VARIABLE_316015))))) (let ((_let_16423 (forall ((BOUND_VARIABLE_316008 tptp.set_nat) (BOUND_VARIABLE_316009 tptp.product_unit)) (= BOUND_VARIABLE_316008 (ll_3547 BOUND_VARIABLE_316008 BOUND_VARIABLE_316009))))) (let ((_let_16424 (forall ((BOUND_VARIABLE_316002 tptp.set_nat) (BOUND_VARIABLE_316003 tptp.product_unit)) (= BOUND_VARIABLE_316002 (ll_3546 BOUND_VARIABLE_316002 BOUND_VARIABLE_316003))))) (let ((_let_16425 (forall ((BOUND_VARIABLE_315996 tptp.set_nat) (BOUND_VARIABLE_315997 tptp.product_unit)) (= BOUND_VARIABLE_315996 (ll_3545 BOUND_VARIABLE_315996 BOUND_VARIABLE_315997))))) (let ((_let_16426 (forall ((BOUND_VARIABLE_315990 tptp.set_nat) (BOUND_VARIABLE_315991 tptp.product_unit)) (= BOUND_VARIABLE_315990 (ll_3544 BOUND_VARIABLE_315990 BOUND_VARIABLE_315991))))) (let ((_let_16427 (forall ((BOUND_VARIABLE_315984 tptp.set_o) (BOUND_VARIABLE_315985 tptp.nat)) (= BOUND_VARIABLE_315984 (ll_3543 BOUND_VARIABLE_315984 BOUND_VARIABLE_315985))))) (let ((_let_16428 (forall ((BOUND_VARIABLE_315978 tptp.set_o) (BOUND_VARIABLE_315979 tptp.nat)) (= BOUND_VARIABLE_315978 (ll_3542 BOUND_VARIABLE_315978 BOUND_VARIABLE_315979))))) (let ((_let_16429 (forall ((BOUND_VARIABLE_315972 tptp.set_o) (BOUND_VARIABLE_315973 Bool)) (= BOUND_VARIABLE_315972 (ll_3541 BOUND_VARIABLE_315972 BOUND_VARIABLE_315973))))) (let ((_let_16430 (forall ((BOUND_VARIABLE_315966 tptp.set_o) (BOUND_VARIABLE_315967 Bool)) (= BOUND_VARIABLE_315966 (ll_3540 BOUND_VARIABLE_315966 BOUND_VARIABLE_315967))))) (let ((_let_16431 (forall ((BOUND_VARIABLE_315960 tptp.set_o) (BOUND_VARIABLE_315961 tptp.product_unit)) (= BOUND_VARIABLE_315960 (ll_3539 BOUND_VARIABLE_315960 BOUND_VARIABLE_315961))))) (let ((_let_16432 (forall ((BOUND_VARIABLE_315954 tptp.set_o) (BOUND_VARIABLE_315955 tptp.product_unit)) (= BOUND_VARIABLE_315954 (ll_3538 BOUND_VARIABLE_315954 BOUND_VARIABLE_315955))))) (let ((_let_16433 (forall ((BOUND_VARIABLE_315948 tptp.set_int) (BOUND_VARIABLE_315949 tptp.product_unit)) (= BOUND_VARIABLE_315948 (ll_3537 BOUND_VARIABLE_315948 BOUND_VARIABLE_315949))))) (let ((_let_16434 (forall ((BOUND_VARIABLE_315942 tptp.set_int) (BOUND_VARIABLE_315943 tptp.product_unit)) (= BOUND_VARIABLE_315942 (ll_3536 BOUND_VARIABLE_315942 BOUND_VARIABLE_315943))))) (let ((_let_16435 (forall ((BOUND_VARIABLE_315916 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315917 tptp.set_nat)) (= (ll_3535 BOUND_VARIABLE_315916 BOUND_VARIABLE_315917) (@ tptp.collect_nat (@ (@ ll_4084 BOUND_VARIABLE_315916) BOUND_VARIABLE_315917)))))) (let ((_let_16436 (forall ((BOUND_VARIABLE_315906 tptp.set_set_nat) (BOUND_VARIABLE_315907 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_315907)) BOUND_VARIABLE_315906)) (ll_3534 BOUND_VARIABLE_315906 BOUND_VARIABLE_315907))))) (let ((_let_16437 (forall ((BOUND_VARIABLE_315896 tptp.set_set_nat) (BOUND_VARIABLE_315897 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_315897)) BOUND_VARIABLE_315896)) (ll_3533 BOUND_VARIABLE_315896 BOUND_VARIABLE_315897))))) (let ((_let_16438 (forall ((BOUND_VARIABLE_315886 tptp.set_set_int) (BOUND_VARIABLE_315887 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_315887)) BOUND_VARIABLE_315886)) (ll_3532 BOUND_VARIABLE_315886 BOUND_VARIABLE_315887))))) (let ((_let_16439 (forall ((BOUND_VARIABLE_315877 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_315878 (-> tptp.int tptp.int)) (BOUND_VARIABLE_315879 tptp.int)) (= (@ BOUND_VARIABLE_315877 (@ BOUND_VARIABLE_315878 BOUND_VARIABLE_315879)) (ll_3531 BOUND_VARIABLE_315877 BOUND_VARIABLE_315878 BOUND_VARIABLE_315879))))) (let ((_let_16440 (forall ((BOUND_VARIABLE_315868 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315869 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_315870 tptp.int)) (= (@ BOUND_VARIABLE_315868 (@ BOUND_VARIABLE_315869 BOUND_VARIABLE_315870)) (ll_3530 BOUND_VARIABLE_315868 BOUND_VARIABLE_315869 BOUND_VARIABLE_315870))))) (let ((_let_16441 (forall ((BOUND_VARIABLE_315859 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_315860 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_315861 tptp.nat)) (= (@ BOUND_VARIABLE_315859 (@ BOUND_VARIABLE_315860 BOUND_VARIABLE_315861)) (ll_3529 BOUND_VARIABLE_315859 BOUND_VARIABLE_315860 BOUND_VARIABLE_315861))))) (let ((_let_16442 (forall ((BOUND_VARIABLE_315850 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315851 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_315852 tptp.nat)) (= (@ BOUND_VARIABLE_315850 (@ BOUND_VARIABLE_315851 BOUND_VARIABLE_315852)) (ll_3528 BOUND_VARIABLE_315850 BOUND_VARIABLE_315851 BOUND_VARIABLE_315852))))) (let ((_let_16443 (forall ((BOUND_VARIABLE_315841 (-> tptp.rat tptp.set_nat)) (BOUND_VARIABLE_315842 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_315843 tptp.nat)) (= (@ BOUND_VARIABLE_315841 (@ BOUND_VARIABLE_315842 BOUND_VARIABLE_315843)) (ll_3527 BOUND_VARIABLE_315841 BOUND_VARIABLE_315842 BOUND_VARIABLE_315843))))) (let ((_let_16444 (forall ((BOUND_VARIABLE_315832 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_315833 (-> tptp.int tptp.int)) (BOUND_VARIABLE_315834 tptp.int)) (= (@ BOUND_VARIABLE_315832 (@ BOUND_VARIABLE_315833 BOUND_VARIABLE_315834)) (ll_3526 BOUND_VARIABLE_315832 BOUND_VARIABLE_315833 BOUND_VARIABLE_315834))))) (let ((_let_16445 (forall ((BOUND_VARIABLE_315823 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315824 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_315825 tptp.int)) (= (@ BOUND_VARIABLE_315823 (@ BOUND_VARIABLE_315824 BOUND_VARIABLE_315825)) (ll_3525 BOUND_VARIABLE_315823 BOUND_VARIABLE_315824 BOUND_VARIABLE_315825))))) (let ((_let_16446 (forall ((BOUND_VARIABLE_315814 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_315815 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_315816 tptp.nat)) (= (@ BOUND_VARIABLE_315814 (@ BOUND_VARIABLE_315815 BOUND_VARIABLE_315816)) (ll_3524 BOUND_VARIABLE_315814 BOUND_VARIABLE_315815 BOUND_VARIABLE_315816))))) (let ((_let_16447 (forall ((BOUND_VARIABLE_315805 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315806 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_315807 tptp.nat)) (= (@ BOUND_VARIABLE_315805 (@ BOUND_VARIABLE_315806 BOUND_VARIABLE_315807)) (ll_3523 BOUND_VARIABLE_315805 BOUND_VARIABLE_315806 BOUND_VARIABLE_315807))))) (let ((_let_16448 (forall ((BOUND_VARIABLE_315796 (-> tptp.rat tptp.set_nat)) (BOUND_VARIABLE_315797 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_315798 tptp.nat)) (= (@ BOUND_VARIABLE_315796 (@ BOUND_VARIABLE_315797 BOUND_VARIABLE_315798)) (ll_3522 BOUND_VARIABLE_315796 BOUND_VARIABLE_315797 BOUND_VARIABLE_315798))))) (let ((_let_16449 (forall ((BOUND_VARIABLE_315784 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_315785 tptp.int)) (= (ll_3521 BOUND_VARIABLE_315784 BOUND_VARIABLE_315785) (@ (@ tptp.insert_nat (@ BOUND_VARIABLE_315784 BOUND_VARIABLE_315785)) (@ tptp.collect_nat ll_1295)))))) (let ((_let_16450 (forall ((BOUND_VARIABLE_315772 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_315773 tptp.nat)) (= (ll_3520 BOUND_VARIABLE_315772 BOUND_VARIABLE_315773) (@ (@ tptp.insert_nat (@ BOUND_VARIABLE_315772 BOUND_VARIABLE_315773)) (@ tptp.collect_nat ll_1295)))))) (let ((_let_16451 (forall ((BOUND_VARIABLE_315763 (-> tptp.int tptp.int)) (BOUND_VARIABLE_315764 tptp.int)) (= (@ (@ tptp.insert_int (@ BOUND_VARIABLE_315763 BOUND_VARIABLE_315764)) tptp.bot_bot_set_int) (ll_3519 BOUND_VARIABLE_315763 BOUND_VARIABLE_315764))))) (let ((_let_16452 (forall ((BOUND_VARIABLE_315754 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_315755 tptp.nat)) (= (@ (@ tptp.insert_int (@ BOUND_VARIABLE_315754 BOUND_VARIABLE_315755)) tptp.bot_bot_set_int) (ll_3518 BOUND_VARIABLE_315754 BOUND_VARIABLE_315755))))) (let ((_let_16453 (forall ((BOUND_VARIABLE_315736 tptp.set_nat) (BOUND_VARIABLE_315737 tptp.product_prod_nat_nat)) (= (ll_3517 BOUND_VARIABLE_315736 BOUND_VARIABLE_315737) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_315737)) (@ (@ tptp.image_7178329752028323786at_nat ll_4083) BOUND_VARIABLE_315736))))))) (let ((_let_16454 (forall ((BOUND_VARIABLE_315710 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315711 tptp.set_nat)) (= (ll_3516 BOUND_VARIABLE_315710 BOUND_VARIABLE_315711) (@ tptp.collect_nat (@ (@ ll_4082 BOUND_VARIABLE_315710) BOUND_VARIABLE_315711)))))) (let ((_let_16455 (forall ((BOUND_VARIABLE_315700 tptp.set_set_nat) (BOUND_VARIABLE_315701 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_315701)) BOUND_VARIABLE_315700)) (ll_3515 BOUND_VARIABLE_315700 BOUND_VARIABLE_315701))))) (let ((_let_16456 (forall ((BOUND_VARIABLE_315664 tptp.set_int) (BOUND_VARIABLE_315665 tptp.int)) (= (ll_3514 BOUND_VARIABLE_315664 BOUND_VARIABLE_315665) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4081 BOUND_VARIABLE_315665) BOUND_VARIABLE_315664)))))) (let ((_let_16457 (forall ((BOUND_VARIABLE_315628 tptp.set_nat) (BOUND_VARIABLE_315629 tptp.nat)) (= (ll_3513 BOUND_VARIABLE_315628 BOUND_VARIABLE_315629) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4080 BOUND_VARIABLE_315629) BOUND_VARIABLE_315628)))))) (let ((_let_16458 (forall ((BOUND_VARIABLE_315592 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_315593 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3512 BOUND_VARIABLE_315592 BOUND_VARIABLE_315593) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4079 BOUND_VARIABLE_315593) BOUND_VARIABLE_315592)))))) (let ((_let_16459 (forall ((BOUND_VARIABLE_315582 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_315583 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_315582) BOUND_VARIABLE_315583)) tptp.bot_bo4948859079157340979at_nat) (ll_3511 BOUND_VARIABLE_315582 BOUND_VARIABLE_315583))))) (let ((_let_16460 (forall ((BOUND_VARIABLE_315546 tptp.set_int) (BOUND_VARIABLE_315547 tptp.int)) (= (ll_3510 BOUND_VARIABLE_315546 BOUND_VARIABLE_315547) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4078 BOUND_VARIABLE_315547) BOUND_VARIABLE_315546)))))) (let ((_let_16461 (forall ((BOUND_VARIABLE_315510 tptp.set_nat) (BOUND_VARIABLE_315511 tptp.nat)) (= (ll_3509 BOUND_VARIABLE_315510 BOUND_VARIABLE_315511) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4077 BOUND_VARIABLE_315511) BOUND_VARIABLE_315510)))))) (let ((_let_16462 (forall ((BOUND_VARIABLE_315474 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_315475 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3508 BOUND_VARIABLE_315474 BOUND_VARIABLE_315475) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4076 BOUND_VARIABLE_315475) BOUND_VARIABLE_315474)))))) (let ((_let_16463 (forall ((BOUND_VARIABLE_315464 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_315465 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_315464) BOUND_VARIABLE_315465)) tptp.bot_bo4948859079157340979at_nat) (ll_3507 BOUND_VARIABLE_315464 BOUND_VARIABLE_315465))))) (let ((_let_16464 (forall ((BOUND_VARIABLE_315428 tptp.set_int) (BOUND_VARIABLE_315429 tptp.int)) (= (ll_3506 BOUND_VARIABLE_315428 BOUND_VARIABLE_315429) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4075 BOUND_VARIABLE_315429) BOUND_VARIABLE_315428)))))) (let ((_let_16465 (forall ((BOUND_VARIABLE_315392 tptp.set_nat) (BOUND_VARIABLE_315393 tptp.nat)) (= (ll_3505 BOUND_VARIABLE_315392 BOUND_VARIABLE_315393) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4074 BOUND_VARIABLE_315393) BOUND_VARIABLE_315392)))))) (let ((_let_16466 (forall ((BOUND_VARIABLE_315356 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_315357 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3504 BOUND_VARIABLE_315356 BOUND_VARIABLE_315357) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4073 BOUND_VARIABLE_315357) BOUND_VARIABLE_315356)))))) (let ((_let_16467 (forall ((BOUND_VARIABLE_315346 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_315347 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_315346) BOUND_VARIABLE_315347)) tptp.bot_bo4948859079157340979at_nat) (ll_3503 BOUND_VARIABLE_315346 BOUND_VARIABLE_315347))))) (let ((_let_16468 (forall ((BOUND_VARIABLE_315297 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315298 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315299 tptp.nat) (BOUND_VARIABLE_315300 tptp.nat)) (= (ll_3502 BOUND_VARIABLE_315297 BOUND_VARIABLE_315298 BOUND_VARIABLE_315299 BOUND_VARIABLE_315300) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ (@ ll_4072 BOUND_VARIABLE_315297) BOUND_VARIABLE_315300) BOUND_VARIABLE_315298) BOUND_VARIABLE_315299)))))) (let ((_let_16469 (forall ((BOUND_VARIABLE_315262 tptp.set_nat) (BOUND_VARIABLE_315263 tptp.set_nat) (BOUND_VARIABLE_315264 tptp.product_prod_nat_nat)) (= (ll_3501 BOUND_VARIABLE_315262 BOUND_VARIABLE_315263 BOUND_VARIABLE_315264) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_315264)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_4071 BOUND_VARIABLE_315262)) BOUND_VARIABLE_315263))))))) (let ((_let_16470 (forall ((BOUND_VARIABLE_315210 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315211 tptp.set_nat) (BOUND_VARIABLE_315212 tptp.nat)) (= (ll_3500 BOUND_VARIABLE_315210 BOUND_VARIABLE_315211 BOUND_VARIABLE_315212) (@ tptp.collec3392354462482085612at_nat (@ (@ (@ ll_4070 BOUND_VARIABLE_315212) BOUND_VARIABLE_315210) BOUND_VARIABLE_315211)))))) (let ((_let_16471 (forall ((BOUND_VARIABLE_315197 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315198 tptp.set_nat) (BOUND_VARIABLE_315199 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_315199)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_315197) BOUND_VARIABLE_315198))) (ll_3499 BOUND_VARIABLE_315197 BOUND_VARIABLE_315198 BOUND_VARIABLE_315199))))) (let ((_let_16472 (forall ((BOUND_VARIABLE_315187 tptp.product_prod_nat_nat) (BOUND_VARIABLE_315188 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_315189 tptp.product_unit)) (= (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_315187) (@ BOUND_VARIABLE_315188 BOUND_VARIABLE_315189)) (ll_3498 BOUND_VARIABLE_315187 BOUND_VARIABLE_315188 BOUND_VARIABLE_315189))))) (let ((_let_16473 (forall ((BOUND_VARIABLE_315177 tptp.nat) (BOUND_VARIABLE_315178 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315179 tptp.nat)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_315177) (@ BOUND_VARIABLE_315178 BOUND_VARIABLE_315179)) (ll_3497 BOUND_VARIABLE_315177 BOUND_VARIABLE_315178 BOUND_VARIABLE_315179))))) (let ((_let_16474 (forall ((BOUND_VARIABLE_315167 tptp.nat) (BOUND_VARIABLE_315168 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_315169 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_315167) (@ BOUND_VARIABLE_315168 BOUND_VARIABLE_315169)) (ll_3496 BOUND_VARIABLE_315167 BOUND_VARIABLE_315168 BOUND_VARIABLE_315169))))) (let ((_let_16475 (forall ((BOUND_VARIABLE_315157 tptp.nat) (BOUND_VARIABLE_315158 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_315159 tptp.product_unit)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_315157) (@ BOUND_VARIABLE_315158 BOUND_VARIABLE_315159)) (ll_3495 BOUND_VARIABLE_315157 BOUND_VARIABLE_315158 BOUND_VARIABLE_315159))))) (let ((_let_16476 (forall ((BOUND_VARIABLE_315147 Bool) (BOUND_VARIABLE_315148 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_315149 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_315147) (@ BOUND_VARIABLE_315148 BOUND_VARIABLE_315149)) (ll_3494 BOUND_VARIABLE_315147 BOUND_VARIABLE_315148 BOUND_VARIABLE_315149))))) (let ((_let_16477 (forall ((BOUND_VARIABLE_315137 Bool) (BOUND_VARIABLE_315138 (-> Bool tptp.set_o)) (BOUND_VARIABLE_315139 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_315137) (@ BOUND_VARIABLE_315138 BOUND_VARIABLE_315139)) (ll_3493 BOUND_VARIABLE_315137 BOUND_VARIABLE_315138 BOUND_VARIABLE_315139))))) (let ((_let_16478 (forall ((BOUND_VARIABLE_315127 Bool) (BOUND_VARIABLE_315128 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_315129 tptp.product_unit)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_315127) (@ BOUND_VARIABLE_315128 BOUND_VARIABLE_315129)) (ll_3492 BOUND_VARIABLE_315127 BOUND_VARIABLE_315128 BOUND_VARIABLE_315129))))) (let ((_let_16479 (forall ((BOUND_VARIABLE_315089 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315090 tptp.nat)) (= (ll_3491 BOUND_VARIABLE_315089 BOUND_VARIABLE_315090) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4069 BOUND_VARIABLE_315089) BOUND_VARIABLE_315090)))))) (let ((_let_16480 (forall ((BOUND_VARIABLE_315079 tptp.set_set_nat) (BOUND_VARIABLE_315080 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_315080)) BOUND_VARIABLE_315079)) (ll_3490 BOUND_VARIABLE_315079 BOUND_VARIABLE_315080))))) (let ((_let_16481 (forall ((BOUND_VARIABLE_315039 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315040 tptp.set_nat)) (= (ll_3489 BOUND_VARIABLE_315039 BOUND_VARIABLE_315040) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4068 BOUND_VARIABLE_315039) BOUND_VARIABLE_315040)))))) (let ((_let_16482 (forall ((BOUND_VARIABLE_315029 tptp.nat) (BOUND_VARIABLE_315030 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_315031 tptp.int)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_315029) (@ BOUND_VARIABLE_315030 BOUND_VARIABLE_315031)) (ll_3488 BOUND_VARIABLE_315029 BOUND_VARIABLE_315030 BOUND_VARIABLE_315031))))) (let ((_let_16483 (forall ((BOUND_VARIABLE_315019 tptp.nat) (BOUND_VARIABLE_315020 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_315021 tptp.nat)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_315019) (@ BOUND_VARIABLE_315020 BOUND_VARIABLE_315021)) (ll_3487 BOUND_VARIABLE_315019 BOUND_VARIABLE_315020 BOUND_VARIABLE_315021))))) (let ((_let_16484 (forall ((BOUND_VARIABLE_315009 tptp.nat) (BOUND_VARIABLE_315010 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_315011 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_315009) (@ BOUND_VARIABLE_315010 BOUND_VARIABLE_315011)) (ll_3486 BOUND_VARIABLE_315009 BOUND_VARIABLE_315010 BOUND_VARIABLE_315011))))) (let ((_let_16485 (forall ((BOUND_VARIABLE_314999 Bool) (BOUND_VARIABLE_315000 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_315001 tptp.int)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314999) (@ BOUND_VARIABLE_315000 BOUND_VARIABLE_315001)) (ll_3485 BOUND_VARIABLE_314999 BOUND_VARIABLE_315000 BOUND_VARIABLE_315001))))) (let ((_let_16486 (forall ((BOUND_VARIABLE_314989 Bool) (BOUND_VARIABLE_314990 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_314991 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314989) (@ BOUND_VARIABLE_314990 BOUND_VARIABLE_314991)) (ll_3484 BOUND_VARIABLE_314989 BOUND_VARIABLE_314990 BOUND_VARIABLE_314991))))) (let ((_let_16487 (forall ((BOUND_VARIABLE_314979 Bool) (BOUND_VARIABLE_314980 (-> Bool tptp.set_o)) (BOUND_VARIABLE_314981 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314979) (@ BOUND_VARIABLE_314980 BOUND_VARIABLE_314981)) (ll_3483 BOUND_VARIABLE_314979 BOUND_VARIABLE_314980 BOUND_VARIABLE_314981))))) (let ((_let_16488 (forall ((BOUND_VARIABLE_314969 tptp.nat) (BOUND_VARIABLE_314970 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_314971 tptp.int)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314969) (@ BOUND_VARIABLE_314970 BOUND_VARIABLE_314971)) (ll_3482 BOUND_VARIABLE_314969 BOUND_VARIABLE_314970 BOUND_VARIABLE_314971))))) (let ((_let_16489 (forall ((BOUND_VARIABLE_314959 tptp.nat) (BOUND_VARIABLE_314960 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_314961 tptp.nat)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314959) (@ BOUND_VARIABLE_314960 BOUND_VARIABLE_314961)) (ll_3481 BOUND_VARIABLE_314959 BOUND_VARIABLE_314960 BOUND_VARIABLE_314961))))) (let ((_let_16490 (forall ((BOUND_VARIABLE_314949 tptp.nat) (BOUND_VARIABLE_314950 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_314951 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314949) (@ BOUND_VARIABLE_314950 BOUND_VARIABLE_314951)) (ll_3480 BOUND_VARIABLE_314949 BOUND_VARIABLE_314950 BOUND_VARIABLE_314951))))) (let ((_let_16491 (forall ((BOUND_VARIABLE_314939 Bool) (BOUND_VARIABLE_314940 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_314941 tptp.int)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314939) (@ BOUND_VARIABLE_314940 BOUND_VARIABLE_314941)) (ll_3479 BOUND_VARIABLE_314939 BOUND_VARIABLE_314940 BOUND_VARIABLE_314941))))) (let ((_let_16492 (forall ((BOUND_VARIABLE_314929 Bool) (BOUND_VARIABLE_314930 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_314931 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314929) (@ BOUND_VARIABLE_314930 BOUND_VARIABLE_314931)) (ll_3478 BOUND_VARIABLE_314929 BOUND_VARIABLE_314930 BOUND_VARIABLE_314931))))) (let ((_let_16493 (forall ((BOUND_VARIABLE_314919 Bool) (BOUND_VARIABLE_314920 (-> Bool tptp.set_o)) (BOUND_VARIABLE_314921 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314919) (@ BOUND_VARIABLE_314920 BOUND_VARIABLE_314921)) (ll_3477 BOUND_VARIABLE_314919 BOUND_VARIABLE_314920 BOUND_VARIABLE_314921))))) (let ((_let_16494 (forall ((BOUND_VARIABLE_314879 tptp.nat) (BOUND_VARIABLE_314880 tptp.nat)) (= (ll_3476 BOUND_VARIABLE_314879 BOUND_VARIABLE_314880) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4067 BOUND_VARIABLE_314880) BOUND_VARIABLE_314879)))))) (let ((_let_16495 (forall ((BOUND_VARIABLE_314838 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_314839 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3475 BOUND_VARIABLE_314838 BOUND_VARIABLE_314839) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4066 BOUND_VARIABLE_314839) BOUND_VARIABLE_314838)))))) (let ((_let_16496 (forall ((BOUND_VARIABLE_314798 tptp.int) (BOUND_VARIABLE_314799 tptp.int)) (= (ll_3474 BOUND_VARIABLE_314798 BOUND_VARIABLE_314799) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4065 BOUND_VARIABLE_314799) BOUND_VARIABLE_314798)))))) (let ((_let_16497 (forall ((BOUND_VARIABLE_314788 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_314789 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_314788) BOUND_VARIABLE_314789)) tptp.bot_bo4948859079157340979at_nat) (ll_3473 BOUND_VARIABLE_314788 BOUND_VARIABLE_314789))))) (let ((_let_16498 (forall ((BOUND_VARIABLE_314778 tptp.nat)) (= (ll_3472 BOUND_VARIABLE_314778) (@ (@ tptp.insert_nat BOUND_VARIABLE_314778) (@ tptp.collect_nat ll_1295)))))) (let ((_let_16499 (forall ((BOUND_VARIABLE_314771 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314771) tptp.bot_bot_set_o) (ll_3471 BOUND_VARIABLE_314771))))) (let ((_let_16500 (forall ((BOUND_VARIABLE_314761 tptp.product_prod_nat_nat)) (= (ll_3470 BOUND_VARIABLE_314761) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_314761) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))) (let ((_let_16501 (forall ((BOUND_VARIABLE_314751 tptp.produc3843707927480180839at_nat)) (= (ll_3469 BOUND_VARIABLE_314751) (@ (@ tptp.insert9069300056098147895at_nat BOUND_VARIABLE_314751) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_16502 (forall ((BOUND_VARIABLE_314741 tptp.product_prod_nat_nat) (BOUND_VARIABLE_314742 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_314743 tptp.product_unit)) (= (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_314741) (@ BOUND_VARIABLE_314742 BOUND_VARIABLE_314743)) (ll_3468 BOUND_VARIABLE_314741 BOUND_VARIABLE_314742 BOUND_VARIABLE_314743))))) (let ((_let_16503 (forall ((BOUND_VARIABLE_314731 tptp.product_prod_nat_nat) (BOUND_VARIABLE_314732 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_314733 tptp.product_unit)) (= (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_314731) (@ BOUND_VARIABLE_314732 BOUND_VARIABLE_314733)) (ll_3467 BOUND_VARIABLE_314731 BOUND_VARIABLE_314732 BOUND_VARIABLE_314733))))) (let ((_let_16504 (forall ((BOUND_VARIABLE_314721 tptp.nat) (BOUND_VARIABLE_314722 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_314723 tptp.nat)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314721) (@ BOUND_VARIABLE_314722 BOUND_VARIABLE_314723)) (ll_3466 BOUND_VARIABLE_314721 BOUND_VARIABLE_314722 BOUND_VARIABLE_314723))))) (let ((_let_16505 (forall ((BOUND_VARIABLE_314711 tptp.nat) (BOUND_VARIABLE_314712 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_314713 tptp.nat)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314711) (@ BOUND_VARIABLE_314712 BOUND_VARIABLE_314713)) (ll_3465 BOUND_VARIABLE_314711 BOUND_VARIABLE_314712 BOUND_VARIABLE_314713))))) (let ((_let_16506 (forall ((BOUND_VARIABLE_314701 tptp.nat) (BOUND_VARIABLE_314702 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_314703 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314701) (@ BOUND_VARIABLE_314702 BOUND_VARIABLE_314703)) (ll_3464 BOUND_VARIABLE_314701 BOUND_VARIABLE_314702 BOUND_VARIABLE_314703))))) (let ((_let_16507 (forall ((BOUND_VARIABLE_314691 tptp.nat) (BOUND_VARIABLE_314692 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_314693 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314691) (@ BOUND_VARIABLE_314692 BOUND_VARIABLE_314693)) (ll_3463 BOUND_VARIABLE_314691 BOUND_VARIABLE_314692 BOUND_VARIABLE_314693))))) (let ((_let_16508 (forall ((BOUND_VARIABLE_314681 tptp.nat) (BOUND_VARIABLE_314682 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_314683 tptp.product_unit)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314681) (@ BOUND_VARIABLE_314682 BOUND_VARIABLE_314683)) (ll_3462 BOUND_VARIABLE_314681 BOUND_VARIABLE_314682 BOUND_VARIABLE_314683))))) (let ((_let_16509 (forall ((BOUND_VARIABLE_314671 tptp.nat) (BOUND_VARIABLE_314672 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_314673 tptp.product_unit)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_314671) (@ BOUND_VARIABLE_314672 BOUND_VARIABLE_314673)) (ll_3461 BOUND_VARIABLE_314671 BOUND_VARIABLE_314672 BOUND_VARIABLE_314673))))) (let ((_let_16510 (forall ((BOUND_VARIABLE_314661 Bool) (BOUND_VARIABLE_314662 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_314663 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314661) (@ BOUND_VARIABLE_314662 BOUND_VARIABLE_314663)) (ll_3460 BOUND_VARIABLE_314661 BOUND_VARIABLE_314662 BOUND_VARIABLE_314663))))) (let ((_let_16511 (forall ((BOUND_VARIABLE_314651 Bool) (BOUND_VARIABLE_314652 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_314653 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314651) (@ BOUND_VARIABLE_314652 BOUND_VARIABLE_314653)) (ll_3459 BOUND_VARIABLE_314651 BOUND_VARIABLE_314652 BOUND_VARIABLE_314653))))) (let ((_let_16512 (forall ((BOUND_VARIABLE_314641 Bool) (BOUND_VARIABLE_314642 (-> Bool tptp.set_o)) (BOUND_VARIABLE_314643 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314641) (@ BOUND_VARIABLE_314642 BOUND_VARIABLE_314643)) (ll_3458 BOUND_VARIABLE_314641 BOUND_VARIABLE_314642 BOUND_VARIABLE_314643))))) (let ((_let_16513 (forall ((BOUND_VARIABLE_314631 Bool) (BOUND_VARIABLE_314632 (-> Bool tptp.set_o)) (BOUND_VARIABLE_314633 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314631) (@ BOUND_VARIABLE_314632 BOUND_VARIABLE_314633)) (ll_3457 BOUND_VARIABLE_314631 BOUND_VARIABLE_314632 BOUND_VARIABLE_314633))))) (let ((_let_16514 (forall ((BOUND_VARIABLE_314621 Bool) (BOUND_VARIABLE_314622 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_314623 tptp.product_unit)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314621) (@ BOUND_VARIABLE_314622 BOUND_VARIABLE_314623)) (ll_3456 BOUND_VARIABLE_314621 BOUND_VARIABLE_314622 BOUND_VARIABLE_314623))))) (let ((_let_16515 (forall ((BOUND_VARIABLE_314611 Bool) (BOUND_VARIABLE_314612 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_314613 tptp.product_unit)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_314611) (@ BOUND_VARIABLE_314612 BOUND_VARIABLE_314613)) (ll_3455 BOUND_VARIABLE_314611 BOUND_VARIABLE_314612 BOUND_VARIABLE_314613))))) (let ((_let_16516 (forall ((BOUND_VARIABLE_314605 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_314606 tptp.product_unit)) (= BOUND_VARIABLE_314605 (ll_3454 BOUND_VARIABLE_314605 BOUND_VARIABLE_314606))))) (let ((_let_16517 (forall ((BOUND_VARIABLE_314599 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_314600 tptp.product_unit)) (= BOUND_VARIABLE_314599 (ll_3453 BOUND_VARIABLE_314599 BOUND_VARIABLE_314600))))) (let ((_let_16518 (forall ((BOUND_VARIABLE_314593 tptp.set_nat) (BOUND_VARIABLE_314594 tptp.nat)) (= BOUND_VARIABLE_314593 (ll_3452 BOUND_VARIABLE_314593 BOUND_VARIABLE_314594))))) (let ((_let_16519 (forall ((BOUND_VARIABLE_314587 tptp.set_nat) (BOUND_VARIABLE_314588 tptp.nat)) (= BOUND_VARIABLE_314587 (ll_3451 BOUND_VARIABLE_314587 BOUND_VARIABLE_314588))))) (let ((_let_16520 (forall ((BOUND_VARIABLE_314581 tptp.set_nat) (BOUND_VARIABLE_314582 Bool)) (= BOUND_VARIABLE_314581 (ll_3450 BOUND_VARIABLE_314581 BOUND_VARIABLE_314582))))) (let ((_let_16521 (forall ((BOUND_VARIABLE_314575 tptp.set_nat) (BOUND_VARIABLE_314576 Bool)) (= BOUND_VARIABLE_314575 (ll_3449 BOUND_VARIABLE_314575 BOUND_VARIABLE_314576))))) (let ((_let_16522 (forall ((BOUND_VARIABLE_314569 tptp.set_nat) (BOUND_VARIABLE_314570 tptp.product_unit)) (= BOUND_VARIABLE_314569 (ll_3448 BOUND_VARIABLE_314569 BOUND_VARIABLE_314570))))) (let ((_let_16523 (forall ((BOUND_VARIABLE_314563 tptp.set_nat) (BOUND_VARIABLE_314564 tptp.product_unit)) (= BOUND_VARIABLE_314563 (ll_3447 BOUND_VARIABLE_314563 BOUND_VARIABLE_314564))))) (let ((_let_16524 (forall ((BOUND_VARIABLE_314557 tptp.set_o) (BOUND_VARIABLE_314558 tptp.nat)) (= BOUND_VARIABLE_314557 (ll_3446 BOUND_VARIABLE_314557 BOUND_VARIABLE_314558))))) (let ((_let_16525 (forall ((BOUND_VARIABLE_314551 tptp.set_o) (BOUND_VARIABLE_314552 tptp.nat)) (= BOUND_VARIABLE_314551 (ll_3445 BOUND_VARIABLE_314551 BOUND_VARIABLE_314552))))) (let ((_let_16526 (forall ((BOUND_VARIABLE_314545 tptp.set_o) (BOUND_VARIABLE_314546 Bool)) (= BOUND_VARIABLE_314545 (ll_3444 BOUND_VARIABLE_314545 BOUND_VARIABLE_314546))))) (let ((_let_16527 (forall ((BOUND_VARIABLE_314539 tptp.set_o) (BOUND_VARIABLE_314540 Bool)) (= BOUND_VARIABLE_314539 (ll_3443 BOUND_VARIABLE_314539 BOUND_VARIABLE_314540))))) (let ((_let_16528 (forall ((BOUND_VARIABLE_314533 tptp.set_o) (BOUND_VARIABLE_314534 tptp.product_unit)) (= BOUND_VARIABLE_314533 (ll_3442 BOUND_VARIABLE_314533 BOUND_VARIABLE_314534))))) (let ((_let_16529 (forall ((BOUND_VARIABLE_314527 tptp.set_o) (BOUND_VARIABLE_314528 tptp.product_unit)) (= BOUND_VARIABLE_314527 (ll_3441 BOUND_VARIABLE_314527 BOUND_VARIABLE_314528))))) (let ((_let_16530 (forall ((BOUND_VARIABLE_314521 tptp.set_nat) (BOUND_VARIABLE_314522 tptp.nat)) (= BOUND_VARIABLE_314521 (ll_3440 BOUND_VARIABLE_314521 BOUND_VARIABLE_314522))))) (let ((_let_16531 (forall ((BOUND_VARIABLE_314515 tptp.set_nat) (BOUND_VARIABLE_314516 Bool)) (= BOUND_VARIABLE_314515 (ll_3439 BOUND_VARIABLE_314515 BOUND_VARIABLE_314516))))) (let ((_let_16532 (forall ((BOUND_VARIABLE_314509 tptp.set_nat) (BOUND_VARIABLE_314510 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_314509 (ll_3438 BOUND_VARIABLE_314509 BOUND_VARIABLE_314510))))) (let ((_let_16533 (forall ((BOUND_VARIABLE_314503 tptp.set_nat) (BOUND_VARIABLE_314504 tptp.produc3843707927480180839at_nat)) (= BOUND_VARIABLE_314503 (ll_3437 BOUND_VARIABLE_314503 BOUND_VARIABLE_314504))))) (let ((_let_16534 (forall ((BOUND_VARIABLE_314497 tptp.set_nat) (BOUND_VARIABLE_314498 tptp.product_unit)) (= BOUND_VARIABLE_314497 (ll_3436 BOUND_VARIABLE_314497 BOUND_VARIABLE_314498))))) (let ((_let_16535 (forall ((BOUND_VARIABLE_314491 tptp.set_nat) (BOUND_VARIABLE_314492 tptp.nat)) (= BOUND_VARIABLE_314491 (ll_3435 BOUND_VARIABLE_314491 BOUND_VARIABLE_314492))))) (let ((_let_16536 (forall ((BOUND_VARIABLE_314485 tptp.set_nat) (BOUND_VARIABLE_314486 Bool)) (= BOUND_VARIABLE_314485 (ll_3434 BOUND_VARIABLE_314485 BOUND_VARIABLE_314486))))) (let ((_let_16537 (forall ((BOUND_VARIABLE_314479 tptp.set_nat) (BOUND_VARIABLE_314480 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_314479 (ll_3433 BOUND_VARIABLE_314479 BOUND_VARIABLE_314480))))) (let ((_let_16538 (forall ((BOUND_VARIABLE_314473 tptp.set_nat) (BOUND_VARIABLE_314474 tptp.produc3843707927480180839at_nat)) (= BOUND_VARIABLE_314473 (ll_3432 BOUND_VARIABLE_314473 BOUND_VARIABLE_314474))))) (let ((_let_16539 (forall ((BOUND_VARIABLE_314467 tptp.set_nat) (BOUND_VARIABLE_314468 tptp.product_unit)) (= BOUND_VARIABLE_314467 (ll_3431 BOUND_VARIABLE_314467 BOUND_VARIABLE_314468))))) (let ((_let_16540 (forall ((BOUND_VARIABLE_314462 tptp.set_nat)) (= BOUND_VARIABLE_314462 (ll_3430 BOUND_VARIABLE_314462))))) (let ((_let_16541 (forall ((BOUND_VARIABLE_314457 tptp.set_nat)) (= BOUND_VARIABLE_314457 (ll_3429 BOUND_VARIABLE_314457))))) (let ((_let_16542 (forall ((BOUND_VARIABLE_314421 tptp.set_nat) (BOUND_VARIABLE_314422 tptp.nat)) (= (ll_3428 BOUND_VARIABLE_314421 BOUND_VARIABLE_314422) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4064 BOUND_VARIABLE_314422) BOUND_VARIABLE_314421)))))) (let ((_let_16543 (forall ((BOUND_VARIABLE_314385 tptp.set_int) (BOUND_VARIABLE_314386 tptp.int)) (= (ll_3427 BOUND_VARIABLE_314385 BOUND_VARIABLE_314386) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4063 BOUND_VARIABLE_314386) BOUND_VARIABLE_314385)))))) (let ((_let_16544 (forall ((BOUND_VARIABLE_314349 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_314350 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3426 BOUND_VARIABLE_314349 BOUND_VARIABLE_314350) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4062 BOUND_VARIABLE_314350) BOUND_VARIABLE_314349)))))) (let ((_let_16545 (forall ((BOUND_VARIABLE_314339 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_314340 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_314339) BOUND_VARIABLE_314340)) tptp.bot_bo4948859079157340979at_nat) (ll_3425 BOUND_VARIABLE_314339 BOUND_VARIABLE_314340))))) (let ((_let_16546 (forall ((BOUND_VARIABLE_314322 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_314323 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_314324 tptp.product_prod_nat_nat) (BOUND_VARIABLE_314325 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_314322 BOUND_VARIABLE_314324) B4)) (not (@ (@ BOUND_VARIABLE_314323 B4) BOUND_VARIABLE_314325))))) (ll_3424 BOUND_VARIABLE_314322 BOUND_VARIABLE_314323 BOUND_VARIABLE_314324 BOUND_VARIABLE_314325))))) (let ((_let_16547 (forall ((BOUND_VARIABLE_314305 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_314306 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_314307 tptp.int) (BOUND_VARIABLE_314308 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_314305 BOUND_VARIABLE_314307) B4)) (not (@ (@ BOUND_VARIABLE_314306 B4) BOUND_VARIABLE_314308))))) (ll_3423 BOUND_VARIABLE_314305 BOUND_VARIABLE_314306 BOUND_VARIABLE_314307 BOUND_VARIABLE_314308))))) (let ((_let_16548 (forall ((BOUND_VARIABLE_314288 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_314289 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_314290 tptp.product_prod_nat_nat) (BOUND_VARIABLE_314291 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_314288 BOUND_VARIABLE_314290) B4)) (not (@ (@ BOUND_VARIABLE_314289 B4) BOUND_VARIABLE_314291))))) (ll_3422 BOUND_VARIABLE_314288 BOUND_VARIABLE_314289 BOUND_VARIABLE_314290 BOUND_VARIABLE_314291))))) (let ((_let_16549 (forall ((BOUND_VARIABLE_314271 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_314272 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_314273 tptp.int) (BOUND_VARIABLE_314274 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_314271 BOUND_VARIABLE_314273) B4)) (not (@ (@ BOUND_VARIABLE_314272 B4) BOUND_VARIABLE_314274))))) (ll_3421 BOUND_VARIABLE_314271 BOUND_VARIABLE_314272 BOUND_VARIABLE_314273 BOUND_VARIABLE_314274))))) (let ((_let_16550 (forall ((BOUND_VARIABLE_314265 tptp.set_nat) (BOUND_VARIABLE_314266 tptp.product_unit)) (= BOUND_VARIABLE_314265 (ll_3420 BOUND_VARIABLE_314265 BOUND_VARIABLE_314266))))) (let ((_let_16551 (forall ((BOUND_VARIABLE_314259 tptp.set_nat) (BOUND_VARIABLE_314260 tptp.product_unit)) (= BOUND_VARIABLE_314259 (ll_3419 BOUND_VARIABLE_314259 BOUND_VARIABLE_314260))))) (let ((_let_16552 (forall ((BOUND_VARIABLE_314253 tptp.set_int) (BOUND_VARIABLE_314254 tptp.nat)) (= BOUND_VARIABLE_314253 (ll_3418 BOUND_VARIABLE_314253 BOUND_VARIABLE_314254))))) (let ((_let_16553 (forall ((BOUND_VARIABLE_314247 tptp.set_int) (BOUND_VARIABLE_314248 tptp.nat)) (= BOUND_VARIABLE_314247 (ll_3417 BOUND_VARIABLE_314247 BOUND_VARIABLE_314248))))) (let ((_let_16554 (forall ((BOUND_VARIABLE_314241 tptp.set_int) (BOUND_VARIABLE_314242 Bool)) (= BOUND_VARIABLE_314241 (ll_3416 BOUND_VARIABLE_314241 BOUND_VARIABLE_314242))))) (let ((_let_16555 (forall ((BOUND_VARIABLE_314235 tptp.set_int) (BOUND_VARIABLE_314236 Bool)) (= BOUND_VARIABLE_314235 (ll_3415 BOUND_VARIABLE_314235 BOUND_VARIABLE_314236))))) (let ((_let_16556 (forall ((BOUND_VARIABLE_314229 tptp.set_int) (BOUND_VARIABLE_314230 tptp.product_unit)) (= BOUND_VARIABLE_314229 (ll_3414 BOUND_VARIABLE_314229 BOUND_VARIABLE_314230))))) (let ((_let_16557 (forall ((BOUND_VARIABLE_314223 tptp.set_int) (BOUND_VARIABLE_314224 tptp.product_unit)) (= BOUND_VARIABLE_314223 (ll_3413 BOUND_VARIABLE_314223 BOUND_VARIABLE_314224))))) (let ((_let_16558 (forall ((BOUND_VARIABLE_314185 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_314186 tptp.nat)) (= (ll_3412 BOUND_VARIABLE_314185 BOUND_VARIABLE_314186) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4061 BOUND_VARIABLE_314185) BOUND_VARIABLE_314186)))))) (let ((_let_16559 (forall ((BOUND_VARIABLE_314147 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_314148 tptp.nat)) (= (ll_3411 BOUND_VARIABLE_314147 BOUND_VARIABLE_314148) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4060 BOUND_VARIABLE_314147) BOUND_VARIABLE_314148)))))) (let ((_let_16560 (forall ((BOUND_VARIABLE_314111 tptp.set_nat) (BOUND_VARIABLE_314112 tptp.nat)) (= (ll_3410 BOUND_VARIABLE_314111 BOUND_VARIABLE_314112) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4059 BOUND_VARIABLE_314112) BOUND_VARIABLE_314111)))))) (let ((_let_16561 (forall ((BOUND_VARIABLE_314075 tptp.set_nat) (BOUND_VARIABLE_314076 tptp.nat)) (= (ll_3409 BOUND_VARIABLE_314075 BOUND_VARIABLE_314076) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4058 BOUND_VARIABLE_314076) BOUND_VARIABLE_314075)))))) (let ((_let_16562 (forall ((BOUND_VARIABLE_314039 tptp.set_nat) (BOUND_VARIABLE_314040 tptp.nat)) (= (ll_3408 BOUND_VARIABLE_314039 BOUND_VARIABLE_314040) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4057 BOUND_VARIABLE_314040) BOUND_VARIABLE_314039)))))) (let ((_let_16563 (forall ((BOUND_VARIABLE_314003 tptp.set_nat) (BOUND_VARIABLE_314004 tptp.nat)) (= (ll_3407 BOUND_VARIABLE_314003 BOUND_VARIABLE_314004) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4056 BOUND_VARIABLE_314004) BOUND_VARIABLE_314003)))))) (let ((_let_16564 (forall ((BOUND_VARIABLE_313965 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_313966 tptp.nat)) (= (ll_3406 BOUND_VARIABLE_313965 BOUND_VARIABLE_313966) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4055 BOUND_VARIABLE_313965) BOUND_VARIABLE_313966)))))) (let ((_let_16565 (forall ((BOUND_VARIABLE_313927 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_313928 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3405 BOUND_VARIABLE_313927 BOUND_VARIABLE_313928) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4054 BOUND_VARIABLE_313927) BOUND_VARIABLE_313928)))))) (let ((_let_16566 (forall ((BOUND_VARIABLE_313891 tptp.set_nat) (BOUND_VARIABLE_313892 tptp.nat)) (= (ll_3404 BOUND_VARIABLE_313891 BOUND_VARIABLE_313892) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4053 BOUND_VARIABLE_313892) BOUND_VARIABLE_313891)))))) (let ((_let_16567 (forall ((BOUND_VARIABLE_313858 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3403 BOUND_VARIABLE_313858) (@ tptp.collec6321179662152712658at_nat (@ ll_4052 BOUND_VARIABLE_313858)))))) (let ((_let_16568 (forall ((BOUND_VARIABLE_313820 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_313821 tptp.nat)) (= (ll_3402 BOUND_VARIABLE_313820 BOUND_VARIABLE_313821) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4051 BOUND_VARIABLE_313820) BOUND_VARIABLE_313821)))))) (let ((_let_16569 (forall ((BOUND_VARIABLE_313782 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_313783 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3401 BOUND_VARIABLE_313782 BOUND_VARIABLE_313783) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4050 BOUND_VARIABLE_313782) BOUND_VARIABLE_313783)))))) (let ((_let_16570 (forall ((BOUND_VARIABLE_313749 tptp.nat)) (= (ll_3400 BOUND_VARIABLE_313749) (@ tptp.collec3392354462482085612at_nat (@ ll_4049 BOUND_VARIABLE_313749)))))) (let ((_let_16571 (forall ((BOUND_VARIABLE_313713 tptp.set_nat) (BOUND_VARIABLE_313714 tptp.nat)) (= (ll_3399 BOUND_VARIABLE_313713 BOUND_VARIABLE_313714) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4048 BOUND_VARIABLE_313714) BOUND_VARIABLE_313713)))))) (let ((_let_16572 (forall ((BOUND_VARIABLE_313677 tptp.set_nat) (BOUND_VARIABLE_313678 tptp.nat)) (= (ll_3398 BOUND_VARIABLE_313677 BOUND_VARIABLE_313678) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4047 BOUND_VARIABLE_313678) BOUND_VARIABLE_313677)))))) (let ((_let_16573 (forall ((BOUND_VARIABLE_313641 tptp.set_nat) (BOUND_VARIABLE_313642 tptp.nat)) (= (ll_3397 BOUND_VARIABLE_313641 BOUND_VARIABLE_313642) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4046 BOUND_VARIABLE_313642) BOUND_VARIABLE_313641)))))) (let ((_let_16574 (forall ((BOUND_VARIABLE_313605 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_313606 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3396 BOUND_VARIABLE_313605 BOUND_VARIABLE_313606) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4045 BOUND_VARIABLE_313606) BOUND_VARIABLE_313605)))))) (let ((_let_16575 (forall ((BOUND_VARIABLE_313569 tptp.set_int) (BOUND_VARIABLE_313570 tptp.int)) (= (ll_3395 BOUND_VARIABLE_313569 BOUND_VARIABLE_313570) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4044 BOUND_VARIABLE_313570) BOUND_VARIABLE_313569)))))) (let ((_let_16576 (forall ((BOUND_VARIABLE_313525 (-> tptp.int tptp.int)) (BOUND_VARIABLE_313526 tptp.set_int) (BOUND_VARIABLE_313527 tptp.int)) (= (ll_3394 BOUND_VARIABLE_313525 BOUND_VARIABLE_313526 BOUND_VARIABLE_313527) (@ tptp.collec213857154873943460nt_int (@ (@ (@ ll_4043 BOUND_VARIABLE_313527) BOUND_VARIABLE_313525) BOUND_VARIABLE_313526)))))) (let ((_let_16577 (forall ((BOUND_VARIABLE_313489 tptp.set_int) (BOUND_VARIABLE_313490 tptp.int)) (= (ll_3393 BOUND_VARIABLE_313489 BOUND_VARIABLE_313490) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4042 BOUND_VARIABLE_313490) BOUND_VARIABLE_313489)))))) (let ((_let_16578 (forall ((BOUND_VARIABLE_313453 tptp.set_int) (BOUND_VARIABLE_313454 tptp.int)) (= (ll_3392 BOUND_VARIABLE_313453 BOUND_VARIABLE_313454) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4041 BOUND_VARIABLE_313454) BOUND_VARIABLE_313453)))))) (let ((_let_16579 (forall ((BOUND_VARIABLE_313417 tptp.set_nat) (BOUND_VARIABLE_313418 tptp.nat)) (= (ll_3391 BOUND_VARIABLE_313417 BOUND_VARIABLE_313418) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4040 BOUND_VARIABLE_313418) BOUND_VARIABLE_313417)))))) (let ((_let_16580 (forall ((BOUND_VARIABLE_313381 tptp.set_nat) (BOUND_VARIABLE_313382 tptp.nat)) (= (ll_3390 BOUND_VARIABLE_313381 BOUND_VARIABLE_313382) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4039 BOUND_VARIABLE_313382) BOUND_VARIABLE_313381)))))) (let ((_let_16581 (forall ((BOUND_VARIABLE_313371 tptp.nat) (BOUND_VARIABLE_313372 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_313371) BOUND_VARIABLE_313372)) tptp.bot_bo7038385379056416535at_num) (ll_3389 BOUND_VARIABLE_313371 BOUND_VARIABLE_313372))))) (let ((_let_16582 (forall ((BOUND_VARIABLE_313335 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_313336 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3388 BOUND_VARIABLE_313335 BOUND_VARIABLE_313336) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4038 BOUND_VARIABLE_313336) BOUND_VARIABLE_313335)))))) (let ((_let_16583 (forall ((BOUND_VARIABLE_313298 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_313299 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3387 BOUND_VARIABLE_313298 BOUND_VARIABLE_313299) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4037 BOUND_VARIABLE_313299) BOUND_VARIABLE_313298)))))) (let ((_let_16584 (forall ((BOUND_VARIABLE_313288 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_313289 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_313288) BOUND_VARIABLE_313289)) tptp.bot_bo4948859079157340979at_nat) (ll_3386 BOUND_VARIABLE_313288 BOUND_VARIABLE_313289))))) (let ((_let_16585 (forall ((BOUND_VARIABLE_313278 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_313279 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_313278) BOUND_VARIABLE_313279)) tptp.bot_bo4948859079157340979at_nat) (ll_3385 BOUND_VARIABLE_313278 BOUND_VARIABLE_313279))))) (let ((_let_16586 (forall ((BOUND_VARIABLE_313242 tptp.set_nat) (BOUND_VARIABLE_313243 tptp.nat)) (= (ll_3384 BOUND_VARIABLE_313242 BOUND_VARIABLE_313243) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4036 BOUND_VARIABLE_313243) BOUND_VARIABLE_313242)))))) (let ((_let_16587 (forall ((BOUND_VARIABLE_313206 tptp.set_nat) (BOUND_VARIABLE_313207 tptp.nat)) (= (ll_3383 BOUND_VARIABLE_313206 BOUND_VARIABLE_313207) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4035 BOUND_VARIABLE_313207) BOUND_VARIABLE_313206)))))) (let ((_let_16588 (forall ((BOUND_VARIABLE_313170 tptp.set_nat) (BOUND_VARIABLE_313171 tptp.nat)) (= (ll_3382 BOUND_VARIABLE_313170 BOUND_VARIABLE_313171) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4034 BOUND_VARIABLE_313171) BOUND_VARIABLE_313170)))))) (let ((_let_16589 (forall ((BOUND_VARIABLE_313134 tptp.set_int) (BOUND_VARIABLE_313135 tptp.int)) (= (ll_3381 BOUND_VARIABLE_313134 BOUND_VARIABLE_313135) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4033 BOUND_VARIABLE_313135) BOUND_VARIABLE_313134)))))) (let ((_let_16590 (forall ((BOUND_VARIABLE_313098 tptp.set_nat) (BOUND_VARIABLE_313099 tptp.nat)) (= (ll_3380 BOUND_VARIABLE_313098 BOUND_VARIABLE_313099) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4032 BOUND_VARIABLE_313099) BOUND_VARIABLE_313098)))))) (let ((_let_16591 (forall ((BOUND_VARIABLE_313062 tptp.set_nat) (BOUND_VARIABLE_313063 tptp.nat)) (= (ll_3379 BOUND_VARIABLE_313062 BOUND_VARIABLE_313063) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4031 BOUND_VARIABLE_313063) BOUND_VARIABLE_313062)))))) (let ((_let_16592 (forall ((BOUND_VARIABLE_313024 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_313025 tptp.nat)) (= (ll_3378 BOUND_VARIABLE_313024 BOUND_VARIABLE_313025) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4030 BOUND_VARIABLE_313024) BOUND_VARIABLE_313025)))))) (let ((_let_16593 (forall ((BOUND_VARIABLE_312986 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312987 tptp.nat)) (= (ll_3377 BOUND_VARIABLE_312986 BOUND_VARIABLE_312987) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4029 BOUND_VARIABLE_312986) BOUND_VARIABLE_312987)))))) (let ((_let_16594 (forall ((BOUND_VARIABLE_312945 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_312946 tptp.int)) (= (ll_3376 BOUND_VARIABLE_312945 BOUND_VARIABLE_312946) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4028 BOUND_VARIABLE_312945) BOUND_VARIABLE_312946)))))) (let ((_let_16595 (forall ((BOUND_VARIABLE_312904 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_312905 tptp.nat)) (= (ll_3375 BOUND_VARIABLE_312904 BOUND_VARIABLE_312905) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4027 BOUND_VARIABLE_312904) BOUND_VARIABLE_312905)))))) (let ((_let_16596 (forall ((BOUND_VARIABLE_312866 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312867 tptp.nat)) (= (ll_3374 BOUND_VARIABLE_312866 BOUND_VARIABLE_312867) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4026 BOUND_VARIABLE_312866) BOUND_VARIABLE_312867)))))) (let ((_let_16597 (forall ((BOUND_VARIABLE_312828 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_312829 tptp.int)) (= (ll_3373 BOUND_VARIABLE_312828 BOUND_VARIABLE_312829) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4025 BOUND_VARIABLE_312828) BOUND_VARIABLE_312829)))))) (let ((_let_16598 (forall ((BOUND_VARIABLE_312818 tptp.nat) (BOUND_VARIABLE_312819 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_312818) BOUND_VARIABLE_312819)) tptp.bot_bo7038385379056416535at_num) (ll_3372 BOUND_VARIABLE_312818 BOUND_VARIABLE_312819))))) (let ((_let_16599 (forall ((BOUND_VARIABLE_312780 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312781 tptp.nat)) (= (ll_3371 BOUND_VARIABLE_312780 BOUND_VARIABLE_312781) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4024 BOUND_VARIABLE_312780) BOUND_VARIABLE_312781)))))) (let ((_let_16600 (forall ((BOUND_VARIABLE_312742 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_312743 tptp.int)) (= (ll_3370 BOUND_VARIABLE_312742 BOUND_VARIABLE_312743) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4023 BOUND_VARIABLE_312742) BOUND_VARIABLE_312743)))))) (let ((_let_16601 (forall ((BOUND_VARIABLE_312732 tptp.nat) (BOUND_VARIABLE_312733 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_312732) BOUND_VARIABLE_312733)) tptp.bot_bo7038385379056416535at_num) (ll_3369 BOUND_VARIABLE_312732 BOUND_VARIABLE_312733))))) (let ((_let_16602 (forall ((BOUND_VARIABLE_312694 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_312695 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3368 BOUND_VARIABLE_312694 BOUND_VARIABLE_312695) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4022 BOUND_VARIABLE_312694) BOUND_VARIABLE_312695)))))) (let ((_let_16603 (forall ((BOUND_VARIABLE_312684 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_312685 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_312684) BOUND_VARIABLE_312685)) tptp.bot_bo4948859079157340979at_nat) (ll_3367 BOUND_VARIABLE_312684 BOUND_VARIABLE_312685))))) (let ((_let_16604 (forall ((BOUND_VARIABLE_312646 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312647 tptp.nat)) (= (ll_3366 BOUND_VARIABLE_312646 BOUND_VARIABLE_312647) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4021 BOUND_VARIABLE_312646) BOUND_VARIABLE_312647)))))) (let ((_let_16605 (forall ((BOUND_VARIABLE_312608 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_312609 tptp.int)) (= (ll_3365 BOUND_VARIABLE_312608 BOUND_VARIABLE_312609) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4020 BOUND_VARIABLE_312608) BOUND_VARIABLE_312609)))))) (let ((_let_16606 (forall ((BOUND_VARIABLE_312598 tptp.nat) (BOUND_VARIABLE_312599 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_312598) BOUND_VARIABLE_312599)) tptp.bot_bo7038385379056416535at_num) (ll_3364 BOUND_VARIABLE_312598 BOUND_VARIABLE_312599))))) (let ((_let_16607 (forall ((BOUND_VARIABLE_312559 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_312560 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3363 BOUND_VARIABLE_312559 BOUND_VARIABLE_312560) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_4019 BOUND_VARIABLE_312559) BOUND_VARIABLE_312560)))))) (let ((_let_16608 (forall ((BOUND_VARIABLE_312549 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_312550 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_312549) BOUND_VARIABLE_312550)) tptp.bot_bo4948859079157340979at_nat) (ll_3362 BOUND_VARIABLE_312549 BOUND_VARIABLE_312550))))) (let ((_let_16609 (forall ((BOUND_VARIABLE_312511 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312512 tptp.nat)) (= (ll_3361 BOUND_VARIABLE_312511 BOUND_VARIABLE_312512) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4018 BOUND_VARIABLE_312511) BOUND_VARIABLE_312512)))))) (let ((_let_16610 (forall ((BOUND_VARIABLE_312473 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_312474 tptp.int)) (= (ll_3360 BOUND_VARIABLE_312473 BOUND_VARIABLE_312474) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4017 BOUND_VARIABLE_312473) BOUND_VARIABLE_312474)))))) (let ((_let_16611 (forall ((BOUND_VARIABLE_312463 tptp.nat) (BOUND_VARIABLE_312464 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_312463) BOUND_VARIABLE_312464)) tptp.bot_bo7038385379056416535at_num) (ll_3359 BOUND_VARIABLE_312463 BOUND_VARIABLE_312464))))) (let ((_let_16612 (forall ((BOUND_VARIABLE_312425 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312426 tptp.nat)) (= (ll_3358 BOUND_VARIABLE_312425 BOUND_VARIABLE_312426) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4016 BOUND_VARIABLE_312425) BOUND_VARIABLE_312426)))))) (let ((_let_16613 (forall ((BOUND_VARIABLE_312387 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312388 tptp.nat)) (= (ll_3357 BOUND_VARIABLE_312387 BOUND_VARIABLE_312388) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4015 BOUND_VARIABLE_312387) BOUND_VARIABLE_312388)))))) (let ((_let_16614 (forall ((BOUND_VARIABLE_312351 tptp.set_nat) (BOUND_VARIABLE_312352 tptp.nat)) (= (ll_3356 BOUND_VARIABLE_312351 BOUND_VARIABLE_312352) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4014 BOUND_VARIABLE_312352) BOUND_VARIABLE_312351)))))) (let ((_let_16615 (forall ((BOUND_VARIABLE_312315 tptp.set_nat) (BOUND_VARIABLE_312316 tptp.nat)) (= (ll_3355 BOUND_VARIABLE_312315 BOUND_VARIABLE_312316) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4013 BOUND_VARIABLE_312316) BOUND_VARIABLE_312315)))))) (let ((_let_16616 (forall ((BOUND_VARIABLE_312276 (-> tptp.int Bool)) (BOUND_VARIABLE_312277 tptp.int)) (= (ll_3354 BOUND_VARIABLE_312276 BOUND_VARIABLE_312277) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4012 BOUND_VARIABLE_312277) BOUND_VARIABLE_312276)))))) (let ((_let_16617 (forall ((BOUND_VARIABLE_312237 (-> tptp.nat Bool)) (BOUND_VARIABLE_312238 tptp.nat)) (= (ll_3353 BOUND_VARIABLE_312237 BOUND_VARIABLE_312238) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4011 BOUND_VARIABLE_312238) BOUND_VARIABLE_312237)))))) (let ((_let_16618 (forall ((BOUND_VARIABLE_312199 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312200 tptp.nat)) (= (ll_3352 BOUND_VARIABLE_312199 BOUND_VARIABLE_312200) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4010 BOUND_VARIABLE_312199) BOUND_VARIABLE_312200)))))) (let ((_let_16619 (forall ((BOUND_VARIABLE_312161 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_312162 tptp.int)) (= (ll_3351 BOUND_VARIABLE_312161 BOUND_VARIABLE_312162) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4009 BOUND_VARIABLE_312161) BOUND_VARIABLE_312162)))))) (let ((_let_16620 (forall ((BOUND_VARIABLE_312151 tptp.nat) (BOUND_VARIABLE_312152 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_312151) BOUND_VARIABLE_312152)) tptp.bot_bo7038385379056416535at_num) (ll_3350 BOUND_VARIABLE_312151 BOUND_VARIABLE_312152))))) (let ((_let_16621 (forall ((BOUND_VARIABLE_312112 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_312113 tptp.nat)) (= (ll_3349 BOUND_VARIABLE_312112 BOUND_VARIABLE_312113) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4008 BOUND_VARIABLE_312112) BOUND_VARIABLE_312113)))))) (let ((_let_16622 (forall ((BOUND_VARIABLE_312073 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_312074 tptp.int)) (= (ll_3348 BOUND_VARIABLE_312073 BOUND_VARIABLE_312074) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4007 BOUND_VARIABLE_312073) BOUND_VARIABLE_312074)))))) (let ((_let_16623 (forall ((BOUND_VARIABLE_312063 tptp.nat) (BOUND_VARIABLE_312064 tptp.num)) (= (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_312063) BOUND_VARIABLE_312064)) tptp.bot_bo7038385379056416535at_num) (ll_3347 BOUND_VARIABLE_312063 BOUND_VARIABLE_312064))))) (let ((_let_16624 (forall ((BOUND_VARIABLE_312024 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_312025 tptp.nat)) (= (ll_3346 BOUND_VARIABLE_312024 BOUND_VARIABLE_312025) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4006 BOUND_VARIABLE_312025) BOUND_VARIABLE_312024)))))) (let ((_let_16625 (forall ((BOUND_VARIABLE_311988 tptp.set_nat) (BOUND_VARIABLE_311989 tptp.nat)) (= (ll_3345 BOUND_VARIABLE_311988 BOUND_VARIABLE_311989) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_4005 BOUND_VARIABLE_311989) BOUND_VARIABLE_311988)))))) (let ((_let_16626 (forall ((BOUND_VARIABLE_311952 tptp.set_int) (BOUND_VARIABLE_311953 tptp.int)) (= (ll_3344 BOUND_VARIABLE_311952 BOUND_VARIABLE_311953) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4004 BOUND_VARIABLE_311953) BOUND_VARIABLE_311952)))))) (let ((_let_16627 (forall ((BOUND_VARIABLE_311916 tptp.set_int) (BOUND_VARIABLE_311917 tptp.int)) (= (ll_3343 BOUND_VARIABLE_311916 BOUND_VARIABLE_311917) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4003 BOUND_VARIABLE_311917) BOUND_VARIABLE_311916)))))) (let ((_let_16628 (forall ((BOUND_VARIABLE_311880 tptp.set_int) (BOUND_VARIABLE_311881 tptp.int)) (= (ll_3342 BOUND_VARIABLE_311880 BOUND_VARIABLE_311881) (@ tptp.collec213857154873943460nt_int (@ (@ ll_4002 BOUND_VARIABLE_311881) BOUND_VARIABLE_311880)))))) (let ((_let_16629 (forall ((BOUND_VARIABLE_311873 tptp.int) (BOUND_VARIABLE_311874 tptp.int)) (= (= BOUND_VARIABLE_311873 BOUND_VARIABLE_311874) (ll_3341 BOUND_VARIABLE_311873 BOUND_VARIABLE_311874))))) (let ((_let_16630 (forall ((BOUND_VARIABLE_311863 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311864 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311863 (@ tptp.product_fst_int_int BOUND_VARIABLE_311864)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311864)) (ll_3340 BOUND_VARIABLE_311863 BOUND_VARIABLE_311864))))) (let ((_let_16631 (forall ((BOUND_VARIABLE_311853 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311854 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311853 (@ tptp.product_fst_int_int BOUND_VARIABLE_311854)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311854)) (ll_3339 BOUND_VARIABLE_311853 BOUND_VARIABLE_311854))))) (let ((_let_16632 (forall ((BOUND_VARIABLE_311843 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311844 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311843 (@ tptp.product_fst_int_int BOUND_VARIABLE_311844)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311844)) (ll_3338 BOUND_VARIABLE_311843 BOUND_VARIABLE_311844))))) (let ((_let_16633 (forall ((BOUND_VARIABLE_311833 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311834 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311833 (@ tptp.product_fst_int_int BOUND_VARIABLE_311834)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311834)) (ll_3337 BOUND_VARIABLE_311833 BOUND_VARIABLE_311834))))) (let ((_let_16634 (forall ((BOUND_VARIABLE_311823 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311824 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311823 (@ tptp.product_fst_int_int BOUND_VARIABLE_311824)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311824)) (ll_3336 BOUND_VARIABLE_311823 BOUND_VARIABLE_311824))))) (let ((_let_16635 (forall ((BOUND_VARIABLE_311813 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311814 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311813 (@ tptp.product_fst_int_int BOUND_VARIABLE_311814)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311814)) (ll_3335 BOUND_VARIABLE_311813 BOUND_VARIABLE_311814))))) (let ((_let_16636 (forall ((BOUND_VARIABLE_311803 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311804 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311803 (@ tptp.product_fst_int_int BOUND_VARIABLE_311804)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311804)) (ll_3334 BOUND_VARIABLE_311803 BOUND_VARIABLE_311804))))) (let ((_let_16637 (forall ((BOUND_VARIABLE_311793 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311794 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311793 (@ tptp.product_fst_int_int BOUND_VARIABLE_311794)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311794)) (ll_3333 BOUND_VARIABLE_311793 BOUND_VARIABLE_311794))))) (let ((_let_16638 (forall ((BOUND_VARIABLE_311786 tptp.int) (BOUND_VARIABLE_311787 tptp.int)) (= (= BOUND_VARIABLE_311786 BOUND_VARIABLE_311787) (ll_3332 BOUND_VARIABLE_311786 BOUND_VARIABLE_311787))))) (let ((_let_16639 (forall ((BOUND_VARIABLE_311777 (-> Bool Bool)) (BOUND_VARIABLE_311778 (-> tptp.nat Bool)) (BOUND_VARIABLE_311779 tptp.nat)) (= (@ BOUND_VARIABLE_311777 (@ BOUND_VARIABLE_311778 BOUND_VARIABLE_311779)) (ll_3331 BOUND_VARIABLE_311777 BOUND_VARIABLE_311778 BOUND_VARIABLE_311779))))) (let ((_let_16640 (forall ((BOUND_VARIABLE_311768 (-> Bool Bool)) (BOUND_VARIABLE_311769 (-> tptp.nat Bool)) (BOUND_VARIABLE_311770 tptp.nat)) (= (@ BOUND_VARIABLE_311768 (@ BOUND_VARIABLE_311769 BOUND_VARIABLE_311770)) (ll_3330 BOUND_VARIABLE_311768 BOUND_VARIABLE_311769 BOUND_VARIABLE_311770))))) (let ((_let_16641 (forall ((BOUND_VARIABLE_311759 (-> Bool Bool)) (BOUND_VARIABLE_311760 (-> tptp.nat Bool)) (BOUND_VARIABLE_311761 tptp.nat)) (= (@ BOUND_VARIABLE_311759 (@ BOUND_VARIABLE_311760 BOUND_VARIABLE_311761)) (ll_3329 BOUND_VARIABLE_311759 BOUND_VARIABLE_311760 BOUND_VARIABLE_311761))))) (let ((_let_16642 (forall ((BOUND_VARIABLE_311750 (-> Bool Bool)) (BOUND_VARIABLE_311751 (-> tptp.nat Bool)) (BOUND_VARIABLE_311752 tptp.nat)) (= (@ BOUND_VARIABLE_311750 (@ BOUND_VARIABLE_311751 BOUND_VARIABLE_311752)) (ll_3328 BOUND_VARIABLE_311750 BOUND_VARIABLE_311751 BOUND_VARIABLE_311752))))) (let ((_let_16643 (forall ((BOUND_VARIABLE_311741 (-> Bool Bool)) (BOUND_VARIABLE_311742 (-> tptp.nat Bool)) (BOUND_VARIABLE_311743 tptp.nat)) (= (@ BOUND_VARIABLE_311741 (@ BOUND_VARIABLE_311742 BOUND_VARIABLE_311743)) (ll_3327 BOUND_VARIABLE_311741 BOUND_VARIABLE_311742 BOUND_VARIABLE_311743))))) (let ((_let_16644 (forall ((BOUND_VARIABLE_311732 (-> Bool Bool)) (BOUND_VARIABLE_311733 (-> tptp.nat Bool)) (BOUND_VARIABLE_311734 tptp.nat)) (= (@ BOUND_VARIABLE_311732 (@ BOUND_VARIABLE_311733 BOUND_VARIABLE_311734)) (ll_3326 BOUND_VARIABLE_311732 BOUND_VARIABLE_311733 BOUND_VARIABLE_311734))))) (let ((_let_16645 (forall ((BOUND_VARIABLE_311723 (-> Bool Bool)) (BOUND_VARIABLE_311724 (-> tptp.nat Bool)) (BOUND_VARIABLE_311725 tptp.nat)) (= (@ BOUND_VARIABLE_311723 (@ BOUND_VARIABLE_311724 BOUND_VARIABLE_311725)) (ll_3325 BOUND_VARIABLE_311723 BOUND_VARIABLE_311724 BOUND_VARIABLE_311725))))) (let ((_let_16646 (forall ((BOUND_VARIABLE_311674 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_311675 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_311676 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_311677 tptp.int) (BOUND_VARIABLE_311678 tptp.int)) (= (ll_3324 BOUND_VARIABLE_311674 BOUND_VARIABLE_311675 BOUND_VARIABLE_311676 BOUND_VARIABLE_311677 BOUND_VARIABLE_311678) (@ (@ (@ (@ tptp.relcom1106208330880909712at_int (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) BOUND_VARIABLE_311674)) (@ (@ ll_4001 BOUND_VARIABLE_311675) BOUND_VARIABLE_311676)) BOUND_VARIABLE_311677) BOUND_VARIABLE_311678))))) (let ((_let_16647 (forall ((BOUND_VARIABLE_311663 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_311664 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311665 tptp.nat) (BOUND_VARIABLE_311666 tptp.nat)) (= (@ (@ (@ BOUND_VARIABLE_311663 BOUND_VARIABLE_311665) BOUND_VARIABLE_311666) BOUND_VARIABLE_311664) (ll_3323 BOUND_VARIABLE_311663 BOUND_VARIABLE_311664 BOUND_VARIABLE_311665 BOUND_VARIABLE_311666))))) (let ((_let_16648 (forall ((BOUND_VARIABLE_311652 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_311653 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311654 tptp.nat) (BOUND_VARIABLE_311655 tptp.nat)) (= (@ (@ (@ BOUND_VARIABLE_311652 BOUND_VARIABLE_311654) BOUND_VARIABLE_311655) BOUND_VARIABLE_311653) (ll_3322 BOUND_VARIABLE_311652 BOUND_VARIABLE_311653 BOUND_VARIABLE_311654 BOUND_VARIABLE_311655))))) (let ((_let_16649 (forall ((BOUND_VARIABLE_311640 tptp.int)) (= (ll_3321 BOUND_VARIABLE_311640) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_311640) BOUND_VARIABLE_311640)) (@ tptp.collec213857154873943460nt_int ll_1579)))))) (let ((_let_16650 (forall ((BOUND_VARIABLE_311628 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3320 BOUND_VARIABLE_311628) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_311628) BOUND_VARIABLE_311628)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))) (let ((_let_16651 (forall ((BOUND_VARIABLE_311618 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311619 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311618 (@ tptp.product_fst_int_int BOUND_VARIABLE_311619)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311619)) (ll_3319 BOUND_VARIABLE_311618 BOUND_VARIABLE_311619))))) (let ((_let_16652 (forall ((BOUND_VARIABLE_311608 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311609 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311608 (@ tptp.product_fst_int_int BOUND_VARIABLE_311609)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311609)) (ll_3318 BOUND_VARIABLE_311608 BOUND_VARIABLE_311609))))) (let ((_let_16653 (forall ((BOUND_VARIABLE_311598 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311599 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311598 (@ tptp.product_fst_int_int BOUND_VARIABLE_311599)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311599)) (ll_3317 BOUND_VARIABLE_311598 BOUND_VARIABLE_311599))))) (let ((_let_16654 (forall ((BOUND_VARIABLE_311588 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311589 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311588 (@ tptp.product_fst_int_int BOUND_VARIABLE_311589)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311589)) (ll_3316 BOUND_VARIABLE_311588 BOUND_VARIABLE_311589))))) (let ((_let_16655 (forall ((BOUND_VARIABLE_311578 tptp.nat) (BOUND_VARIABLE_311579 tptp.nat)) (= (@ (@ tptp.fract (@ tptp.nat_int_decode BOUND_VARIABLE_311578)) (@ tptp.nat_int_decode BOUND_VARIABLE_311579)) (ll_3315 BOUND_VARIABLE_311578 BOUND_VARIABLE_311579))))) (let ((_let_16656 (forall ((BOUND_VARIABLE_311571 tptp.nat) (BOUND_VARIABLE_311572 tptp.nat)) (= (= BOUND_VARIABLE_311571 BOUND_VARIABLE_311572) (ll_3314 BOUND_VARIABLE_311571 BOUND_VARIABLE_311572))))) (let ((_let_16657 (forall ((BOUND_VARIABLE_311564 tptp.nat) (BOUND_VARIABLE_311565 tptp.nat)) (= (= BOUND_VARIABLE_311564 BOUND_VARIABLE_311565) (ll_3313 BOUND_VARIABLE_311564 BOUND_VARIABLE_311565))))) (let ((_let_16658 (forall ((BOUND_VARIABLE_311557 tptp.nat) (BOUND_VARIABLE_311558 tptp.nat)) (= (= BOUND_VARIABLE_311557 BOUND_VARIABLE_311558) (ll_3312 BOUND_VARIABLE_311557 BOUND_VARIABLE_311558))))) (let ((_let_16659 (forall ((BOUND_VARIABLE_311550 tptp.nat) (BOUND_VARIABLE_311551 tptp.nat)) (= (= BOUND_VARIABLE_311550 BOUND_VARIABLE_311551) (ll_3311 BOUND_VARIABLE_311550 BOUND_VARIABLE_311551))))) (let ((_let_16660 (forall ((BOUND_VARIABLE_311543 tptp.num) (BOUND_VARIABLE_311544 tptp.num)) (= (= BOUND_VARIABLE_311543 BOUND_VARIABLE_311544) (ll_3310 BOUND_VARIABLE_311543 BOUND_VARIABLE_311544))))) (let ((_let_16661 (forall ((BOUND_VARIABLE_311536 tptp.num) (BOUND_VARIABLE_311537 tptp.num)) (= (= BOUND_VARIABLE_311536 BOUND_VARIABLE_311537) (ll_3309 BOUND_VARIABLE_311536 BOUND_VARIABLE_311537))))) (let ((_let_16662 (forall ((BOUND_VARIABLE_311529 tptp.num) (BOUND_VARIABLE_311530 tptp.num)) (= (= BOUND_VARIABLE_311529 BOUND_VARIABLE_311530) (ll_3308 BOUND_VARIABLE_311529 BOUND_VARIABLE_311530))))) (let ((_let_16663 (forall ((BOUND_VARIABLE_311522 tptp.num) (BOUND_VARIABLE_311523 tptp.num)) (= (= BOUND_VARIABLE_311522 BOUND_VARIABLE_311523) (ll_3307 BOUND_VARIABLE_311522 BOUND_VARIABLE_311523))))) (let ((_let_16664 (forall ((BOUND_VARIABLE_311515 tptp.num) (BOUND_VARIABLE_311516 tptp.num)) (= (= BOUND_VARIABLE_311515 BOUND_VARIABLE_311516) (ll_3306 BOUND_VARIABLE_311515 BOUND_VARIABLE_311516))))) (let ((_let_16665 (forall ((BOUND_VARIABLE_311508 tptp.num) (BOUND_VARIABLE_311509 tptp.num)) (= (= BOUND_VARIABLE_311508 BOUND_VARIABLE_311509) (ll_3305 BOUND_VARIABLE_311508 BOUND_VARIABLE_311509))))) (let ((_let_16666 (forall ((BOUND_VARIABLE_311491 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_311492 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_311493 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311494 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_311491 BOUND_VARIABLE_311493) B4)) (not (@ (@ BOUND_VARIABLE_311492 B4) BOUND_VARIABLE_311494))))) (ll_3304 BOUND_VARIABLE_311491 BOUND_VARIABLE_311492 BOUND_VARIABLE_311493 BOUND_VARIABLE_311494))))) (let ((_let_16667 (forall ((BOUND_VARIABLE_311474 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311475 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_311476 tptp.int) (BOUND_VARIABLE_311477 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_311474 BOUND_VARIABLE_311476) B4)) (not (@ (@ BOUND_VARIABLE_311475 B4) BOUND_VARIABLE_311477))))) (ll_3303 BOUND_VARIABLE_311474 BOUND_VARIABLE_311475 BOUND_VARIABLE_311476 BOUND_VARIABLE_311477))))) (let ((_let_16668 (forall ((BOUND_VARIABLE_311455 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_311456 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_311457 tptp.product_prod_nat_nat) (BOUND_VARIABLE_311458 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_311455 BOUND_VARIABLE_311457) B4)) (not (@ (@ (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) BOUND_VARIABLE_311456)) B4) BOUND_VARIABLE_311458))))) (ll_3302 BOUND_VARIABLE_311455 BOUND_VARIABLE_311456 BOUND_VARIABLE_311457 BOUND_VARIABLE_311458))))) (let ((_let_16669 (forall ((BOUND_VARIABLE_311445 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_311446 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_311445 (@ tptp.product_fst_int_int BOUND_VARIABLE_311446)) (@ tptp.product_snd_int_int BOUND_VARIABLE_311446)) (ll_3301 BOUND_VARIABLE_311445 BOUND_VARIABLE_311446))))) (let ((_let_16670 (forall ((BOUND_VARIABLE_311438 tptp.int) (BOUND_VARIABLE_311439 tptp.int)) (= (= BOUND_VARIABLE_311438 BOUND_VARIABLE_311439) (ll_3300 BOUND_VARIABLE_311438 BOUND_VARIABLE_311439))))) (let ((_let_16671 (forall ((BOUND_VARIABLE_311431 tptp.int) (BOUND_VARIABLE_311432 tptp.int)) (= (= BOUND_VARIABLE_311431 BOUND_VARIABLE_311432) (ll_3299 BOUND_VARIABLE_311431 BOUND_VARIABLE_311432))))) (let ((_let_16672 (forall ((BOUND_VARIABLE_311424 tptp.int) (BOUND_VARIABLE_311425 tptp.int)) (= (= BOUND_VARIABLE_311424 BOUND_VARIABLE_311425) (ll_3298 BOUND_VARIABLE_311424 BOUND_VARIABLE_311425))))) (let ((_let_16673 (forall ((BOUND_VARIABLE_311417 tptp.int) (BOUND_VARIABLE_311418 tptp.int)) (= (= BOUND_VARIABLE_311417 BOUND_VARIABLE_311418) (ll_3297 BOUND_VARIABLE_311417 BOUND_VARIABLE_311418))))) (let ((_let_16674 (forall ((BOUND_VARIABLE_311410 tptp.int) (BOUND_VARIABLE_311411 tptp.int)) (= (= BOUND_VARIABLE_311410 BOUND_VARIABLE_311411) (ll_3296 BOUND_VARIABLE_311410 BOUND_VARIABLE_311411))))) (let ((_let_16675 (forall ((BOUND_VARIABLE_311403 tptp.int) (BOUND_VARIABLE_311404 tptp.int)) (= (= BOUND_VARIABLE_311403 BOUND_VARIABLE_311404) (ll_3295 BOUND_VARIABLE_311403 BOUND_VARIABLE_311404))))) (let ((_let_16676 (forall ((BOUND_VARIABLE_311396 tptp.int) (BOUND_VARIABLE_311397 tptp.int)) (= (= BOUND_VARIABLE_311396 BOUND_VARIABLE_311397) (ll_3294 BOUND_VARIABLE_311396 BOUND_VARIABLE_311397))))) (let ((_let_16677 (forall ((BOUND_VARIABLE_311388 (-> tptp.nat Bool)) (BOUND_VARIABLE_311389 tptp.nat)) (= (not (@ BOUND_VARIABLE_311388 BOUND_VARIABLE_311389)) (ll_3293 BOUND_VARIABLE_311388 BOUND_VARIABLE_311389))))) (let ((_let_16678 (forall ((BOUND_VARIABLE_311374 tptp.nat) (BOUND_VARIABLE_311375 tptp.num)) (= (ll_3292 BOUND_VARIABLE_311374 BOUND_VARIABLE_311375) (@ (@ tptp.produc478579273971653890on_num ll_4000) (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_311374) BOUND_VARIABLE_311375)))))) (let ((_let_16679 (forall ((BOUND_VARIABLE_311366 tptp.int) (BOUND_VARIABLE_311367 tptp.code_integer)) (= (@ (@ tptp.code_cr_integer BOUND_VARIABLE_311366) BOUND_VARIABLE_311367) (ll_3291 BOUND_VARIABLE_311366 BOUND_VARIABLE_311367))))) (let ((_let_16680 (forall ((BOUND_VARIABLE_311359 tptp.num) (BOUND_VARIABLE_311360 tptp.num)) (= (= BOUND_VARIABLE_311359 BOUND_VARIABLE_311360) (ll_3290 BOUND_VARIABLE_311359 BOUND_VARIABLE_311360))))) (let ((_let_16681 (forall ((BOUND_VARIABLE_311352 tptp.int) (BOUND_VARIABLE_311353 tptp.int)) (= (= BOUND_VARIABLE_311352 BOUND_VARIABLE_311353) (ll_3289 BOUND_VARIABLE_311352 BOUND_VARIABLE_311353))))) (let ((_let_16682 (forall ((BOUND_VARIABLE_311345 tptp.num) (BOUND_VARIABLE_311346 tptp.num)) (= (= BOUND_VARIABLE_311345 BOUND_VARIABLE_311346) (ll_3288 BOUND_VARIABLE_311345 BOUND_VARIABLE_311346))))) (let ((_let_16683 (forall ((BOUND_VARIABLE_311267 tptp.code_integer) (BOUND_VARIABLE_311268 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs BOUND_VARIABLE_311267) BOUND_VARIABLE_311268))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_3 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (= (ll_3287 BOUND_VARIABLE_311267 BOUND_VARIABLE_311268) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311267)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 BOUND_VARIABLE_311268)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_3 BOUND_VARIABLE_311267)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (@ ll_3999 BOUND_VARIABLE_311268)) _let_1))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311268)) (@ _let_2 BOUND_VARIABLE_311267)) (@ (@ (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer) tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le6747313008572928689nteger BOUND_VARIABLE_311267) tptp.zero_z3403309356797280102nteger)) _let_1) (@ (@ tptp.produc6916734918728496179nteger (@ ll_3998 BOUND_VARIABLE_311268)) _let_1))))))))))))) (let ((_let_16684 (forall ((BOUND_VARIABLE_311211 tptp.code_integer) (BOUND_VARIABLE_311212 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs BOUND_VARIABLE_311211) BOUND_VARIABLE_311212))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (= (ll_3286 BOUND_VARIABLE_311211 BOUND_VARIABLE_311212) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311211)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311212)) (@ _let_2 BOUND_VARIABLE_311211)) (@ (@ (@ (@ tptp.comp_C1593894019821074884nteger ll_3997) tptp.sgn_sgn_Code_integer) BOUND_VARIABLE_311212) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= (@ tptp.sgn_sgn_Code_integer BOUND_VARIABLE_311211) (@ tptp.sgn_sgn_Code_integer BOUND_VARIABLE_311212))) _let_1) (@ (@ tptp.produc6916734918728496179nteger (@ ll_3996 BOUND_VARIABLE_311212)) _let_1))))))))))) (let ((_let_16685 (forall ((BOUND_VARIABLE_311155 tptp.code_integer)) (let ((_let_1 (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (let ((_let_2 (@ (@ tptp.code_divmod_abs BOUND_VARIABLE_311155) _let_1))) (let ((_let_3 (@ (@ tptp.ord_le6747313008572928689nteger BOUND_VARIABLE_311155) tptp.zero_z3403309356797280102nteger))) (let ((_let_4 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_5 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_6 (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311155))) (= (ll_3285 BOUND_VARIABLE_311155) (@ (@ (@ tptp.if_int _let_3) (@ (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)) (@ tptp.code_int_of_integer (@ tptp.uminus1351360451143612070nteger BOUND_VARIABLE_311155)))) (@ (@ (@ tptp.if_int _let_6) tptp.zero_zero_int) (@ (@ tptp.produc1553301316500091796er_int ll_3995) (@ (@ (@ tptp.if_Pro6119634080678213985nteger _let_6) (@ _let_4 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_5 _let_1)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_5 BOUND_VARIABLE_311155)) _let_2) (@ (@ tptp.produc6916734918728496179nteger ll_3992) _let_2))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger _let_1)) (@ _let_4 BOUND_VARIABLE_311155)) (@ (@ (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer) tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger _let_3) _let_2) (@ (@ tptp.produc6916734918728496179nteger ll_3991) _let_2))))))))))))))))))) (let ((_let_16686 (forall ((BOUND_VARIABLE_311147 tptp.int)) (= (@ tptp.num_of_nat (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ BOUND_VARIABLE_311147))) (ll_3284 BOUND_VARIABLE_311147))))) (let ((_let_16687 (forall ((BOUND_VARIABLE_311098 tptp.code_integer)) (let ((_let_1 (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (let ((_let_2 (@ (@ tptp.code_divmod_abs BOUND_VARIABLE_311098) _let_1))) (let ((_let_3 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_4 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (= (ll_3283 BOUND_VARIABLE_311098) (@ (@ (@ tptp.if_num (@ (@ tptp.ord_le3102999989581377725nteger BOUND_VARIABLE_311098) tptp.one_one_Code_integer)) tptp.one) (@ (@ tptp.produc7336495610019696514er_num ll_3994) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311098)) (@ _let_3 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_4 _let_1)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_4 BOUND_VARIABLE_311098)) _let_2) (@ (@ tptp.produc6916734918728496179nteger ll_3992) _let_2))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger _let_1)) (@ _let_3 BOUND_VARIABLE_311098)) (@ (@ (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer) tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le6747313008572928689nteger BOUND_VARIABLE_311098) tptp.zero_z3403309356797280102nteger)) _let_2) (@ (@ tptp.produc6916734918728496179nteger ll_3991) _let_2)))))))))))))))) (let ((_let_16688 (forall ((BOUND_VARIABLE_311045 tptp.code_integer)) (let ((_let_1 (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))) (let ((_let_2 (@ (@ tptp.code_divmod_abs BOUND_VARIABLE_311045) _let_1))) (let ((_let_3 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (let ((_let_4 (@ tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger))) (= (ll_3282 BOUND_VARIABLE_311045) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_le3102999989581377725nteger BOUND_VARIABLE_311045) tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_nat) (@ (@ tptp.produc1555791787009142072er_nat ll_3993) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger BOUND_VARIABLE_311045)) (@ _let_3 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_4 _let_1)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ _let_4 BOUND_VARIABLE_311045)) _let_2) (@ (@ tptp.produc6916734918728496179nteger ll_3992) _let_2))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= tptp.zero_z3403309356797280102nteger _let_1)) (@ _let_3 BOUND_VARIABLE_311045)) (@ (@ (@ tptp.produc1802105962441033582nteger tptp.id_Code_integer) tptp.uminus1351360451143612070nteger) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (@ (@ tptp.ord_le6747313008572928689nteger BOUND_VARIABLE_311045) tptp.zero_z3403309356797280102nteger)) _let_2) (@ (@ tptp.produc6916734918728496179nteger ll_3991) _let_2)))))))))))))))) (let ((_let_16689 (forall ((BOUND_VARIABLE_311036 tptp.nat) (BOUND_VARIABLE_311037 tptp.nat)) (= (@ (@ tptp.cons_nat BOUND_VARIABLE_311036) (@ tptp.nat_list_decode BOUND_VARIABLE_311037)) (ll_3281 BOUND_VARIABLE_311036 BOUND_VARIABLE_311037))))) (let ((_let_16690 (forall ((BOUND_VARIABLE_311027 tptp.nat) (BOUND_VARIABLE_311028 tptp.nat)) (= (@ (@ tptp.cons_nat BOUND_VARIABLE_311027) (@ tptp.nat_list_decode BOUND_VARIABLE_311028)) (ll_3280 BOUND_VARIABLE_311027 BOUND_VARIABLE_311028))))) (let ((_let_16691 (forall ((BOUND_VARIABLE_311018 tptp.nat) (BOUND_VARIABLE_311019 tptp.nat)) (= (@ (@ tptp.cons_nat BOUND_VARIABLE_311018) (@ tptp.nat_list_decode BOUND_VARIABLE_311019)) (ll_3279 BOUND_VARIABLE_311018 BOUND_VARIABLE_311019))))) (let ((_let_16692 (forall ((BOUND_VARIABLE_311009 tptp.nat) (BOUND_VARIABLE_311010 tptp.nat)) (= (@ (@ tptp.cons_nat BOUND_VARIABLE_311009) (@ tptp.nat_list_decode BOUND_VARIABLE_311010)) (ll_3278 BOUND_VARIABLE_311009 BOUND_VARIABLE_311010))))) (let ((_let_16693 (forall ((BOUND_VARIABLE_310998 tptp.nat) (BOUND_VARIABLE_310999 tptp.nat)) (= (@ (@ tptp.plus_plus_nat (@ tptp.nat_triangle (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_310998) BOUND_VARIABLE_310999))) BOUND_VARIABLE_310998) (ll_3277 BOUND_VARIABLE_310998 BOUND_VARIABLE_310999))))) (let ((_let_16694 (forall ((BOUND_VARIABLE_310990 tptp.int)) (= (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ (@ tptp.abs_abs_int BOUND_VARIABLE_310990))) (ll_3276 BOUND_VARIABLE_310990))))) (let ((_let_16695 (forall ((BOUND_VARIABLE_310982 tptp.int)) (= (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ (@ tptp.abs_abs_int BOUND_VARIABLE_310982))) (ll_3275 BOUND_VARIABLE_310982))))) (let ((_let_16696 (forall ((BOUND_VARIABLE_310974 tptp.int)) (= (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ (@ tptp.abs_abs_int BOUND_VARIABLE_310974))) (ll_3274 BOUND_VARIABLE_310974))))) (let ((_let_16697 (forall ((BOUND_VARIABLE_310956 tptp.set_nat) (BOUND_VARIABLE_310957 tptp.nat)) (= (ll_3273 BOUND_VARIABLE_310956 BOUND_VARIABLE_310957) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_310957)) (@ (@ tptp.image_nat_set_nat ll_3990) BOUND_VARIABLE_310956))))))) (let ((_let_16698 (forall ((BOUND_VARIABLE_310924 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310925 tptp.product_prod_nat_nat)) (= (ll_3272 BOUND_VARIABLE_310924 BOUND_VARIABLE_310925) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3989 BOUND_VARIABLE_310924)) BOUND_VARIABLE_310925))))) (let ((_let_16699 (forall ((BOUND_VARIABLE_310892 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310893 tptp.product_prod_nat_nat)) (= (ll_3271 BOUND_VARIABLE_310892 BOUND_VARIABLE_310893) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3988 BOUND_VARIABLE_310892)) BOUND_VARIABLE_310893))))) (let ((_let_16700 (forall ((BOUND_VARIABLE_310885 Bool) (BOUND_VARIABLE_310886 Bool)) (= (= BOUND_VARIABLE_310885 BOUND_VARIABLE_310886) (ll_3270 BOUND_VARIABLE_310885 BOUND_VARIABLE_310886))))) (let ((_let_16701 (forall ((BOUND_VARIABLE_310853 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310854 tptp.product_prod_nat_nat)) (= (ll_3269 BOUND_VARIABLE_310853 BOUND_VARIABLE_310854) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3987 BOUND_VARIABLE_310853)) BOUND_VARIABLE_310854))))) (let ((_let_16702 (forall ((BOUND_VARIABLE_310821 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310822 tptp.product_prod_nat_nat)) (= (ll_3268 BOUND_VARIABLE_310821 BOUND_VARIABLE_310822) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3986 BOUND_VARIABLE_310821)) BOUND_VARIABLE_310822))))) (let ((_let_16703 (forall ((BOUND_VARIABLE_310814 tptp.nat) (BOUND_VARIABLE_310815 tptp.nat)) (= (= BOUND_VARIABLE_310814 BOUND_VARIABLE_310815) (ll_3267 BOUND_VARIABLE_310814 BOUND_VARIABLE_310815))))) (let ((_let_16704 (forall ((BOUND_VARIABLE_310806 tptp.nat) (BOUND_VARIABLE_310807 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_310807) BOUND_VARIABLE_310806) (ll_3266 BOUND_VARIABLE_310806 BOUND_VARIABLE_310807))))) (let ((_let_16705 (forall ((BOUND_VARIABLE_310798 tptp.nat) (BOUND_VARIABLE_310799 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_310799) BOUND_VARIABLE_310798) (ll_3265 BOUND_VARIABLE_310798 BOUND_VARIABLE_310799))))) (let ((_let_16706 (forall ((BOUND_VARIABLE_310791 Bool) (BOUND_VARIABLE_310792 Bool)) (= (= BOUND_VARIABLE_310791 BOUND_VARIABLE_310792) (ll_3264 BOUND_VARIABLE_310791 BOUND_VARIABLE_310792))))) (let ((_let_16707 (forall ((BOUND_VARIABLE_310759 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310760 tptp.product_prod_nat_nat)) (= (ll_3263 BOUND_VARIABLE_310759 BOUND_VARIABLE_310760) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3985 BOUND_VARIABLE_310759)) BOUND_VARIABLE_310760))))) (let ((_let_16708 (forall ((BOUND_VARIABLE_310727 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310728 tptp.product_prod_nat_nat)) (= (ll_3262 BOUND_VARIABLE_310727 BOUND_VARIABLE_310728) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3984 BOUND_VARIABLE_310727)) BOUND_VARIABLE_310728))))) (let ((_let_16709 (forall ((BOUND_VARIABLE_310693 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310694 tptp.product_prod_nat_nat)) (= (ll_3261 BOUND_VARIABLE_310693 BOUND_VARIABLE_310694) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3983 BOUND_VARIABLE_310693)) BOUND_VARIABLE_310694))))) (let ((_let_16710 (forall ((BOUND_VARIABLE_310659 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310660 tptp.product_prod_nat_nat)) (= (ll_3260 BOUND_VARIABLE_310659 BOUND_VARIABLE_310660) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3982 BOUND_VARIABLE_310659)) BOUND_VARIABLE_310660))))) (let ((_let_16711 (forall ((BOUND_VARIABLE_310625 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310626 tptp.product_prod_nat_nat)) (= (ll_3259 BOUND_VARIABLE_310625 BOUND_VARIABLE_310626) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3981 BOUND_VARIABLE_310625)) BOUND_VARIABLE_310626))))) (let ((_let_16712 (forall ((BOUND_VARIABLE_310591 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310592 tptp.product_prod_nat_nat)) (= (ll_3258 BOUND_VARIABLE_310591 BOUND_VARIABLE_310592) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3980 BOUND_VARIABLE_310591)) BOUND_VARIABLE_310592))))) (let ((_let_16713 (forall ((BOUND_VARIABLE_310561 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310562 tptp.product_prod_nat_nat)) (= (ll_3257 BOUND_VARIABLE_310561 BOUND_VARIABLE_310562) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3979 BOUND_VARIABLE_310561)) BOUND_VARIABLE_310562))))) (let ((_let_16714 (forall ((BOUND_VARIABLE_310515 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310516 tptp.product_prod_nat_nat)) (= (ll_3256 BOUND_VARIABLE_310515 BOUND_VARIABLE_310516) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3978 BOUND_VARIABLE_310515)) BOUND_VARIABLE_310516))))) (let ((_let_16715 (forall ((BOUND_VARIABLE_310469 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310470 tptp.product_prod_nat_nat)) (= (ll_3255 BOUND_VARIABLE_310469 BOUND_VARIABLE_310470) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3977 BOUND_VARIABLE_310469)) BOUND_VARIABLE_310470))))) (let ((_let_16716 (forall ((BOUND_VARIABLE_310447 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310448 tptp.nat) (BOUND_VARIABLE_310449 tptp.nat)) (= (ll_3254 BOUND_VARIABLE_310447 BOUND_VARIABLE_310448 BOUND_VARIABLE_310449) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_310447)) BOUND_VARIABLE_310449)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_310448) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_310447))))))) (let ((_let_16717 (forall ((BOUND_VARIABLE_310423 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310424 tptp.nat) (BOUND_VARIABLE_310425 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.abs_Integ BOUND_VARIABLE_310423)))) (= (ll_3253 BOUND_VARIABLE_310423 BOUND_VARIABLE_310424 BOUND_VARIABLE_310425) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_310425)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_310424) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16718 (forall ((BOUND_VARIABLE_310377 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310378 tptp.product_prod_nat_nat)) (= (ll_3252 BOUND_VARIABLE_310377 BOUND_VARIABLE_310378) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3976 BOUND_VARIABLE_310377)) BOUND_VARIABLE_310378))))) (let ((_let_16719 (forall ((BOUND_VARIABLE_310355 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310356 tptp.nat) (BOUND_VARIABLE_310357 tptp.nat)) (= (ll_3251 BOUND_VARIABLE_310355 BOUND_VARIABLE_310356 BOUND_VARIABLE_310357) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_310355)) BOUND_VARIABLE_310357)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_310355)) BOUND_VARIABLE_310356)))))) (let ((_let_16720 (forall ((BOUND_VARIABLE_310333 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310334 tptp.nat) (BOUND_VARIABLE_310335 tptp.nat)) (= (ll_3250 BOUND_VARIABLE_310333 BOUND_VARIABLE_310334 BOUND_VARIABLE_310335) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_310333)) BOUND_VARIABLE_310334)) (@ (@ tptp.plus_plus_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_310333)) BOUND_VARIABLE_310335)))))) (let ((_let_16721 (forall ((BOUND_VARIABLE_310300 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310301 tptp.nat) (BOUND_VARIABLE_310302 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_310300)))) (let ((_let_2 (@ tptp.times_times_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_310300)))) (= (ll_3249 BOUND_VARIABLE_310300 BOUND_VARIABLE_310301 BOUND_VARIABLE_310302) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_310301)) (@ _let_1 BOUND_VARIABLE_310302))) (@ (@ tptp.plus_plus_nat (@ _let_2 BOUND_VARIABLE_310302)) (@ _let_1 BOUND_VARIABLE_310301))))))))) (let ((_let_16722 (forall ((BOUND_VARIABLE_310292 tptp.nat) (BOUND_VARIABLE_310293 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_310293) BOUND_VARIABLE_310292) (ll_3248 BOUND_VARIABLE_310292 BOUND_VARIABLE_310293))))) (let ((_let_16723 (forall ((BOUND_VARIABLE_310284 tptp.nat) (BOUND_VARIABLE_310285 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_310285) BOUND_VARIABLE_310284) (ll_3247 BOUND_VARIABLE_310284 BOUND_VARIABLE_310285))))) (let ((_let_16724 (forall ((BOUND_VARIABLE_310277 tptp.int)) (= (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (@ tptp.rep_Integ BOUND_VARIABLE_310277)) (ll_3246 BOUND_VARIABLE_310277))))) (let ((_let_16725 (forall ((BOUND_VARIABLE_310270 tptp.nat) (BOUND_VARIABLE_310271 tptp.nat)) (= (= BOUND_VARIABLE_310270 BOUND_VARIABLE_310271) (ll_3245 BOUND_VARIABLE_310270 BOUND_VARIABLE_310271))))) (let ((_let_16726 (forall ((BOUND_VARIABLE_310236 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310237 tptp.product_prod_nat_nat)) (= (ll_3244 BOUND_VARIABLE_310236 BOUND_VARIABLE_310237) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3975 BOUND_VARIABLE_310236)) BOUND_VARIABLE_310237))))) (let ((_let_16727 (forall ((BOUND_VARIABLE_310202 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310203 tptp.product_prod_nat_nat)) (= (ll_3243 BOUND_VARIABLE_310202 BOUND_VARIABLE_310203) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3974 BOUND_VARIABLE_310202)) BOUND_VARIABLE_310203))))) (let ((_let_16728 (forall ((BOUND_VARIABLE_310168 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310169 tptp.product_prod_nat_nat)) (= (ll_3242 BOUND_VARIABLE_310168 BOUND_VARIABLE_310169) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3973 BOUND_VARIABLE_310168)) BOUND_VARIABLE_310169))))) (let ((_let_16729 (forall ((BOUND_VARIABLE_310136 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310137 tptp.product_prod_nat_nat)) (= (ll_3241 BOUND_VARIABLE_310136 BOUND_VARIABLE_310137) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3972 BOUND_VARIABLE_310136)) BOUND_VARIABLE_310137))))) (let ((_let_16730 (forall ((BOUND_VARIABLE_310101 tptp.int) (BOUND_VARIABLE_310102 tptp.int)) (= (ll_3240 BOUND_VARIABLE_310101 BOUND_VARIABLE_310102) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3971 BOUND_VARIABLE_310101)) (@ tptp.rep_Integ BOUND_VARIABLE_310102)))))) (let ((_let_16731 (forall ((BOUND_VARIABLE_310094 Bool) (BOUND_VARIABLE_310095 Bool)) (= (= BOUND_VARIABLE_310094 BOUND_VARIABLE_310095) (ll_3239 BOUND_VARIABLE_310094 BOUND_VARIABLE_310095))))) (let ((_let_16732 (forall ((BOUND_VARIABLE_310072 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310073 tptp.nat) (BOUND_VARIABLE_310074 tptp.nat)) (= (ll_3238 BOUND_VARIABLE_310072 BOUND_VARIABLE_310073 BOUND_VARIABLE_310074) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_310072)) BOUND_VARIABLE_310074)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_310073) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_310072))))))) (let ((_let_16733 (forall ((BOUND_VARIABLE_310048 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310049 tptp.nat) (BOUND_VARIABLE_310050 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.abs_Integ BOUND_VARIABLE_310048)))) (= (ll_3237 BOUND_VARIABLE_310048 BOUND_VARIABLE_310049 BOUND_VARIABLE_310050) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_310050)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_310049) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16734 (forall ((BOUND_VARIABLE_310016 tptp.product_prod_nat_nat) (BOUND_VARIABLE_310017 tptp.product_prod_nat_nat)) (= (ll_3236 BOUND_VARIABLE_310016 BOUND_VARIABLE_310017) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3970 BOUND_VARIABLE_310016)) BOUND_VARIABLE_310017))))) (let ((_let_16735 (forall ((BOUND_VARIABLE_309981 tptp.int) (BOUND_VARIABLE_309982 tptp.int)) (= (ll_3235 BOUND_VARIABLE_309981 BOUND_VARIABLE_309982) (@ (@ tptp.produc6081775807080527818_nat_o (@ ll_3969 BOUND_VARIABLE_309981)) (@ tptp.rep_Integ BOUND_VARIABLE_309982)))))) (let ((_let_16736 (forall ((BOUND_VARIABLE_309955 tptp.product_prod_nat_nat) (BOUND_VARIABLE_309956 tptp.int)) (= (ll_3234 BOUND_VARIABLE_309955 BOUND_VARIABLE_309956) (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ (@ tptp.basic_5328504652464829177at_nat ll_3968) ll_3967) BOUND_VARIABLE_309955) B4)) (not (@ (@ tptp.cr_int B4) BOUND_VARIABLE_309956))))))))) (let ((_let_16737 (forall ((BOUND_VARIABLE_309948 Bool) (BOUND_VARIABLE_309949 Bool)) (= (= BOUND_VARIABLE_309948 BOUND_VARIABLE_309949) (ll_3233 BOUND_VARIABLE_309948 BOUND_VARIABLE_309949))))) (let ((_let_16738 (forall ((BOUND_VARIABLE_309939 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309939)) (@ (@ tptp.image_nat_set_nat tptp.set_ord_atLeast_nat) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (ll_3232 BOUND_VARIABLE_309939))))) (let ((_let_16739 (forall ((BOUND_VARIABLE_309921 tptp.nat) (BOUND_VARIABLE_309922 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ tptp.zero_zero_int))) (= (ll_3231 BOUND_VARIABLE_309921 BOUND_VARIABLE_309922) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_309922)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_309921) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16740 (forall ((BOUND_VARIABLE_309905 tptp.produc3843707927480180839at_nat)) (= (ll_3230 BOUND_VARIABLE_309905) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_309905)) (@ (@ tptp.image_2496312346330513076at_nat ll_3966) tptp.top_top_set_o))))))) (let ((_let_16741 (forall ((BOUND_VARIABLE_309889 tptp.produc3843707927480180839at_nat)) (= (ll_3229 BOUND_VARIABLE_309889) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_309889)) (@ (@ tptp.image_2496312346330513076at_nat ll_3965) tptp.top_top_set_o))))))) (let ((_let_16742 (forall ((BOUND_VARIABLE_309878 Bool)) (= (ll_3228 BOUND_VARIABLE_309878) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_309878) (@ (@ tptp.lex_prod_nat_nat tptp.less_than) tptp.less_than)) (@ tptp.collec7088162979684241874at_nat ll_3168)))))) (let ((_let_16743 (forall ((BOUND_VARIABLE_309866 tptp.int) (BOUND_VARIABLE_309867 tptp.int)) (= (ll_3227 BOUND_VARIABLE_309866 BOUND_VARIABLE_309867) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3243) BOUND_VARIABLE_309867) BOUND_VARIABLE_309866))))) (let ((_let_16744 (forall ((BOUND_VARIABLE_309832 tptp.product_prod_nat_nat) (BOUND_VARIABLE_309833 tptp.product_prod_nat_nat)) (= (ll_3226 BOUND_VARIABLE_309832 BOUND_VARIABLE_309833) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3964 BOUND_VARIABLE_309832)) BOUND_VARIABLE_309833))))) (let ((_let_16745 (forall ((BOUND_VARIABLE_309823 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309823)) (@ (@ tptp.image_nat_set_nat tptp.set_ord_lessThan_nat) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (ll_3225 BOUND_VARIABLE_309823))))) (let ((_let_16746 (forall ((BOUND_VARIABLE_309814 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309814)) (@ (@ tptp.image_nat_set_nat tptp.set_ord_atMost_nat) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (ll_3224 BOUND_VARIABLE_309814))))) (let ((_let_16747 (forall ((BOUND_VARIABLE_309789 tptp.nat) (BOUND_VARIABLE_309790 tptp.nat)) (= (ll_3223 BOUND_VARIABLE_309789 BOUND_VARIABLE_309790) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (or (= tptp.zero_zero_nat BOUND_VARIABLE_309790) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309789) BOUND_VARIABLE_309790))) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) BOUND_VARIABLE_309789)) (@ (@ tptp.produc2626176000494625587at_nat ll_3963) (@ (@ tptp.divmod_nat (@ (@ tptp.minus_minus_nat BOUND_VARIABLE_309789) BOUND_VARIABLE_309790)) BOUND_VARIABLE_309790))))))) (let ((_let_16748 (forall ((BOUND_VARIABLE_309781 tptp.nat) (BOUND_VARIABLE_309782 tptp.nat)) (= (@ (@ tptp.modulo_modulo_nat BOUND_VARIABLE_309782) BOUND_VARIABLE_309781) (ll_3222 BOUND_VARIABLE_309781 BOUND_VARIABLE_309782))))) (let ((_let_16749 (forall ((BOUND_VARIABLE_309773 tptp.nat) (BOUND_VARIABLE_309774 tptp.nat)) (= (@ (@ tptp.minus_minus_nat BOUND_VARIABLE_309774) BOUND_VARIABLE_309773) (ll_3221 BOUND_VARIABLE_309773 BOUND_VARIABLE_309774))))) (let ((_let_16750 (forall ((BOUND_VARIABLE_309765 tptp.nat) (BOUND_VARIABLE_309766 tptp.nat)) (= (@ (@ tptp.minus_minus_nat BOUND_VARIABLE_309766) BOUND_VARIABLE_309765) (ll_3220 BOUND_VARIABLE_309765 BOUND_VARIABLE_309766))))) (let ((_let_16751 (forall ((BOUND_VARIABLE_309757 tptp.nat) (BOUND_VARIABLE_309758 tptp.nat)) (= (@ (@ tptp.minus_minus_nat BOUND_VARIABLE_309758) BOUND_VARIABLE_309757) (ll_3219 BOUND_VARIABLE_309757 BOUND_VARIABLE_309758))))) (let ((_let_16752 (forall ((BOUND_VARIABLE_309743 tptp.nat) (BOUND_VARIABLE_309744 tptp.nat) (BOUND_VARIABLE_309745 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309744) BOUND_VARIABLE_309743) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309745) BOUND_VARIABLE_309743) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309744) BOUND_VARIABLE_309745)) (ll_3218 BOUND_VARIABLE_309743 BOUND_VARIABLE_309744 BOUND_VARIABLE_309745))))) (let ((_let_16753 (forall ((BOUND_VARIABLE_309693 tptp.nat) (BOUND_VARIABLE_309694 tptp.product_prod_nat_nat)) (= (ll_3217 BOUND_VARIABLE_309693 BOUND_VARIABLE_309694) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309694)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3962 BOUND_VARIABLE_309693)) (@ tptp.collect_nat (@ ll_3961 BOUND_VARIABLE_309693))))))))) (let ((_let_16754 (forall ((BOUND_VARIABLE_309679 tptp.nat) (BOUND_VARIABLE_309680 tptp.nat) (BOUND_VARIABLE_309681 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309680) BOUND_VARIABLE_309679) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309681) BOUND_VARIABLE_309679) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309680) BOUND_VARIABLE_309681)) (ll_3216 BOUND_VARIABLE_309679 BOUND_VARIABLE_309680 BOUND_VARIABLE_309681))))) (let ((_let_16755 (forall ((BOUND_VARIABLE_309643 tptp.nat) (BOUND_VARIABLE_309644 tptp.product_prod_nat_nat)) (= (ll_3215 BOUND_VARIABLE_309643 BOUND_VARIABLE_309644) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309644)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3960 BOUND_VARIABLE_309643)) (@ (@ tptp.order_underS_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o tptp.ord_less_eq_nat))) BOUND_VARIABLE_309643)))))))) (let ((_let_16756 (forall ((BOUND_VARIABLE_309629 tptp.nat) (BOUND_VARIABLE_309630 tptp.nat) (BOUND_VARIABLE_309631 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309630) BOUND_VARIABLE_309629) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309631) BOUND_VARIABLE_309629) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309630) BOUND_VARIABLE_309631)) (ll_3214 BOUND_VARIABLE_309629 BOUND_VARIABLE_309630 BOUND_VARIABLE_309631))))) (let ((_let_16757 (forall ((BOUND_VARIABLE_309615 tptp.nat) (BOUND_VARIABLE_309616 tptp.nat) (BOUND_VARIABLE_309617 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309616) BOUND_VARIABLE_309615) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309617) BOUND_VARIABLE_309615) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309616) BOUND_VARIABLE_309617)) (ll_3213 BOUND_VARIABLE_309615 BOUND_VARIABLE_309616 BOUND_VARIABLE_309617))))) (let ((_let_16758 (forall ((BOUND_VARIABLE_309601 tptp.nat) (BOUND_VARIABLE_309602 tptp.nat) (BOUND_VARIABLE_309603 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309602) BOUND_VARIABLE_309601) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309603) BOUND_VARIABLE_309601) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309602) BOUND_VARIABLE_309603)) (ll_3212 BOUND_VARIABLE_309601 BOUND_VARIABLE_309602 BOUND_VARIABLE_309603))))) (let ((_let_16759 (forall ((BOUND_VARIABLE_309593 tptp.nat) (BOUND_VARIABLE_309594 tptp.nat)) (= (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309594) BOUND_VARIABLE_309593) (ll_3211 BOUND_VARIABLE_309593 BOUND_VARIABLE_309594))))) (let ((_let_16760 (forall ((BOUND_VARIABLE_309579 tptp.nat) (BOUND_VARIABLE_309580 tptp.nat) (BOUND_VARIABLE_309581 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309580) BOUND_VARIABLE_309579) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309581) BOUND_VARIABLE_309579) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309580) BOUND_VARIABLE_309581)) (ll_3210 BOUND_VARIABLE_309579 BOUND_VARIABLE_309580 BOUND_VARIABLE_309581))))) (let ((_let_16761 (forall ((BOUND_VARIABLE_309565 tptp.nat) (BOUND_VARIABLE_309566 tptp.nat) (BOUND_VARIABLE_309567 tptp.nat)) (= (and (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309566) BOUND_VARIABLE_309565) (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309567) BOUND_VARIABLE_309565) (@ (@ tptp.ord_less_eq_nat BOUND_VARIABLE_309566) BOUND_VARIABLE_309567)) (ll_3209 BOUND_VARIABLE_309565 BOUND_VARIABLE_309566 BOUND_VARIABLE_309567))))) (let ((_let_16762 (forall ((BOUND_VARIABLE_309557 tptp.nat) (BOUND_VARIABLE_309558 tptp.nat)) (= (@ (@ tptp.ord_less_nat BOUND_VARIABLE_309558) BOUND_VARIABLE_309557) (ll_3208 BOUND_VARIABLE_309557 BOUND_VARIABLE_309558))))) (let ((_let_16763 (forall ((BOUND_VARIABLE_309548 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_309549 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_309550 tptp.nat)) (= (@ BOUND_VARIABLE_309548 (@ BOUND_VARIABLE_309549 BOUND_VARIABLE_309550)) (ll_3207 BOUND_VARIABLE_309548 BOUND_VARIABLE_309549 BOUND_VARIABLE_309550))))) (let ((_let_16764 (forall ((BOUND_VARIABLE_309539 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_309540 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_309541 tptp.nat)) (= (@ BOUND_VARIABLE_309539 (@ BOUND_VARIABLE_309540 BOUND_VARIABLE_309541)) (ll_3206 BOUND_VARIABLE_309539 BOUND_VARIABLE_309540 BOUND_VARIABLE_309541))))) (let ((_let_16765 (forall ((BOUND_VARIABLE_309530 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_309531 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_309532 tptp.nat)) (= (@ BOUND_VARIABLE_309530 (@ BOUND_VARIABLE_309531 BOUND_VARIABLE_309532)) (ll_3205 BOUND_VARIABLE_309530 BOUND_VARIABLE_309531 BOUND_VARIABLE_309532))))) (let ((_let_16766 (forall ((BOUND_VARIABLE_309521 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_309522 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_309523 tptp.nat)) (= (@ BOUND_VARIABLE_309521 (@ BOUND_VARIABLE_309522 BOUND_VARIABLE_309523)) (ll_3204 BOUND_VARIABLE_309521 BOUND_VARIABLE_309522 BOUND_VARIABLE_309523))))) (let ((_let_16767 (forall ((BOUND_VARIABLE_309512 (-> tptp.int tptp.int)) (BOUND_VARIABLE_309513 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_309514 tptp.nat)) (= (@ BOUND_VARIABLE_309512 (@ BOUND_VARIABLE_309513 BOUND_VARIABLE_309514)) (ll_3203 BOUND_VARIABLE_309512 BOUND_VARIABLE_309513 BOUND_VARIABLE_309514))))) (let ((_let_16768 (forall ((BOUND_VARIABLE_309503 (-> tptp.int tptp.rat)) (BOUND_VARIABLE_309504 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_309505 tptp.nat)) (= (@ BOUND_VARIABLE_309503 (@ BOUND_VARIABLE_309504 BOUND_VARIABLE_309505)) (ll_3202 BOUND_VARIABLE_309503 BOUND_VARIABLE_309504 BOUND_VARIABLE_309505))))) (let ((_let_16769 (forall ((BOUND_VARIABLE_309494 (-> tptp.rat tptp.int)) (BOUND_VARIABLE_309495 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_309496 tptp.nat)) (= (@ BOUND_VARIABLE_309494 (@ BOUND_VARIABLE_309495 BOUND_VARIABLE_309496)) (ll_3201 BOUND_VARIABLE_309494 BOUND_VARIABLE_309495 BOUND_VARIABLE_309496))))) (let ((_let_16770 (forall ((BOUND_VARIABLE_309485 (-> tptp.rat tptp.rat)) (BOUND_VARIABLE_309486 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_309487 tptp.nat)) (= (@ BOUND_VARIABLE_309485 (@ BOUND_VARIABLE_309486 BOUND_VARIABLE_309487)) (ll_3200 BOUND_VARIABLE_309485 BOUND_VARIABLE_309486 BOUND_VARIABLE_309487))))) (let ((_let_16771 (forall ((BOUND_VARIABLE_309476 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_309477 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_309478 tptp.rat)) (= (@ BOUND_VARIABLE_309476 (@ BOUND_VARIABLE_309477 BOUND_VARIABLE_309478)) (ll_3199 BOUND_VARIABLE_309476 BOUND_VARIABLE_309477 BOUND_VARIABLE_309478))))) (let ((_let_16772 (forall ((BOUND_VARIABLE_309467 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_309468 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_309469 tptp.char)) (= (@ BOUND_VARIABLE_309467 (@ BOUND_VARIABLE_309468 BOUND_VARIABLE_309469)) (ll_3198 BOUND_VARIABLE_309467 BOUND_VARIABLE_309468 BOUND_VARIABLE_309469))))) (let ((_let_16773 (forall ((BOUND_VARIABLE_309453 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309454 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_309455 tptp.product_prod_nat_nat) (BOUND_VARIABLE_309456 tptp.product_prod_nat_nat)) (= (and (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309456) BOUND_VARIABLE_309453) (= (@ BOUND_VARIABLE_309454 BOUND_VARIABLE_309456) (@ BOUND_VARIABLE_309454 BOUND_VARIABLE_309455))) (ll_3197 BOUND_VARIABLE_309453 BOUND_VARIABLE_309454 BOUND_VARIABLE_309455 BOUND_VARIABLE_309456))))) (let ((_let_16774 (forall ((BOUND_VARIABLE_309439 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_309440 (-> tptp.product_prod_int_int tptp.nat)) (BOUND_VARIABLE_309441 tptp.product_prod_int_int) (BOUND_VARIABLE_309442 tptp.product_prod_int_int)) (= (and (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_309442) BOUND_VARIABLE_309439) (= (@ BOUND_VARIABLE_309440 BOUND_VARIABLE_309442) (@ BOUND_VARIABLE_309440 BOUND_VARIABLE_309441))) (ll_3196 BOUND_VARIABLE_309439 BOUND_VARIABLE_309440 BOUND_VARIABLE_309441 BOUND_VARIABLE_309442))))) (let ((_let_16775 (forall ((BOUND_VARIABLE_309425 tptp.set_int) (BOUND_VARIABLE_309426 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_309427 tptp.int) (BOUND_VARIABLE_309428 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_309428) BOUND_VARIABLE_309425) (= (@ BOUND_VARIABLE_309426 BOUND_VARIABLE_309428) (@ BOUND_VARIABLE_309426 BOUND_VARIABLE_309427))) (ll_3195 BOUND_VARIABLE_309425 BOUND_VARIABLE_309426 BOUND_VARIABLE_309427 BOUND_VARIABLE_309428))))) (let ((_let_16776 (forall ((BOUND_VARIABLE_309411 tptp.set_o) (BOUND_VARIABLE_309412 (-> Bool tptp.product_prod_nat_nat)) (BOUND_VARIABLE_309413 Bool) (BOUND_VARIABLE_309414 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_309414) BOUND_VARIABLE_309411) (= (@ BOUND_VARIABLE_309412 BOUND_VARIABLE_309414) (@ BOUND_VARIABLE_309412 BOUND_VARIABLE_309413))) (ll_3194 BOUND_VARIABLE_309411 BOUND_VARIABLE_309412 BOUND_VARIABLE_309413 BOUND_VARIABLE_309414))))) (let ((_let_16777 (forall ((BOUND_VARIABLE_309397 tptp.set_nat) (BOUND_VARIABLE_309398 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_309399 tptp.nat) (BOUND_VARIABLE_309400 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_309400) BOUND_VARIABLE_309397) (= (@ BOUND_VARIABLE_309398 BOUND_VARIABLE_309400) (@ BOUND_VARIABLE_309398 BOUND_VARIABLE_309399))) (ll_3193 BOUND_VARIABLE_309397 BOUND_VARIABLE_309398 BOUND_VARIABLE_309399 BOUND_VARIABLE_309400))))) (let ((_let_16778 (forall ((BOUND_VARIABLE_309383 tptp.set_nat) (BOUND_VARIABLE_309384 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_309385 tptp.nat) (BOUND_VARIABLE_309386 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_309386) BOUND_VARIABLE_309383) (= (@ BOUND_VARIABLE_309384 BOUND_VARIABLE_309386) (@ BOUND_VARIABLE_309384 BOUND_VARIABLE_309385))) (ll_3192 BOUND_VARIABLE_309383 BOUND_VARIABLE_309384 BOUND_VARIABLE_309385 BOUND_VARIABLE_309386))))) (let ((_let_16779 (forall ((BOUND_VARIABLE_309369 tptp.set_nat) (BOUND_VARIABLE_309370 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_309371 tptp.nat) (BOUND_VARIABLE_309372 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_309372) BOUND_VARIABLE_309369) (= (@ BOUND_VARIABLE_309370 BOUND_VARIABLE_309372) (@ BOUND_VARIABLE_309370 BOUND_VARIABLE_309371))) (ll_3191 BOUND_VARIABLE_309369 BOUND_VARIABLE_309370 BOUND_VARIABLE_309371 BOUND_VARIABLE_309372))))) (let ((_let_16780 (forall ((BOUND_VARIABLE_309355 tptp.set_int) (BOUND_VARIABLE_309356 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_309357 tptp.int) (BOUND_VARIABLE_309358 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_309358) BOUND_VARIABLE_309355) (= (@ BOUND_VARIABLE_309356 BOUND_VARIABLE_309358) (@ BOUND_VARIABLE_309356 BOUND_VARIABLE_309357))) (ll_3190 BOUND_VARIABLE_309355 BOUND_VARIABLE_309356 BOUND_VARIABLE_309357 BOUND_VARIABLE_309358))))) (let ((_let_16781 (forall ((BOUND_VARIABLE_309341 tptp.set_o) (BOUND_VARIABLE_309342 (-> Bool tptp.nat)) (BOUND_VARIABLE_309343 Bool) (BOUND_VARIABLE_309344 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_309344) BOUND_VARIABLE_309341) (= (@ BOUND_VARIABLE_309342 BOUND_VARIABLE_309344) (@ BOUND_VARIABLE_309342 BOUND_VARIABLE_309343))) (ll_3189 BOUND_VARIABLE_309341 BOUND_VARIABLE_309342 BOUND_VARIABLE_309343 BOUND_VARIABLE_309344))))) (let ((_let_16782 (forall ((BOUND_VARIABLE_309327 tptp.set_int) (BOUND_VARIABLE_309328 (-> tptp.int tptp.int)) (BOUND_VARIABLE_309329 tptp.int) (BOUND_VARIABLE_309330 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_309330) BOUND_VARIABLE_309327) (= (@ BOUND_VARIABLE_309328 BOUND_VARIABLE_309330) (@ BOUND_VARIABLE_309328 BOUND_VARIABLE_309329))) (ll_3188 BOUND_VARIABLE_309327 BOUND_VARIABLE_309328 BOUND_VARIABLE_309329 BOUND_VARIABLE_309330))))) (let ((_let_16783 (forall ((BOUND_VARIABLE_309314 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_309315 tptp.set_nat) (BOUND_VARIABLE_309316 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309316)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_309314) BOUND_VARIABLE_309315))) (ll_3187 BOUND_VARIABLE_309314 BOUND_VARIABLE_309315 BOUND_VARIABLE_309316))))) (let ((_let_16784 (forall ((BOUND_VARIABLE_309301 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_309302 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309303 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309303)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_309301) BOUND_VARIABLE_309302))) (ll_3186 BOUND_VARIABLE_309301 BOUND_VARIABLE_309302 BOUND_VARIABLE_309303))))) (let ((_let_16785 (forall ((BOUND_VARIABLE_309288 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_309289 tptp.set_nat) (BOUND_VARIABLE_309290 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309290)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_309288) BOUND_VARIABLE_309289))) (ll_3185 BOUND_VARIABLE_309288 BOUND_VARIABLE_309289 BOUND_VARIABLE_309290))))) (let ((_let_16786 (forall ((BOUND_VARIABLE_309275 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_309276 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309277 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309277)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_309275) BOUND_VARIABLE_309276))) (ll_3184 BOUND_VARIABLE_309275 BOUND_VARIABLE_309276 BOUND_VARIABLE_309277))))) (let ((_let_16787 (forall ((BOUND_VARIABLE_309262 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_309263 tptp.set_nat) (BOUND_VARIABLE_309264 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309264)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_309262) BOUND_VARIABLE_309263))) (ll_3183 BOUND_VARIABLE_309262 BOUND_VARIABLE_309263 BOUND_VARIABLE_309264))))) (let ((_let_16788 (forall ((BOUND_VARIABLE_309249 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_309250 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309251 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309251)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_309249) BOUND_VARIABLE_309250))) (ll_3182 BOUND_VARIABLE_309249 BOUND_VARIABLE_309250 BOUND_VARIABLE_309251))))) (let ((_let_16789 (forall ((BOUND_VARIABLE_309236 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_309237 tptp.set_int) (BOUND_VARIABLE_309238 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309238)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_309236) BOUND_VARIABLE_309237))) (ll_3181 BOUND_VARIABLE_309236 BOUND_VARIABLE_309237 BOUND_VARIABLE_309238))))) (let ((_let_16790 (forall ((BOUND_VARIABLE_309223 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_309224 tptp.set_o) (BOUND_VARIABLE_309225 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309225)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_309223) BOUND_VARIABLE_309224))) (ll_3180 BOUND_VARIABLE_309223 BOUND_VARIABLE_309224 BOUND_VARIABLE_309225))))) (let ((_let_16791 (forall ((BOUND_VARIABLE_309210 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_309211 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_309212 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309212)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_309210) BOUND_VARIABLE_309211))) (ll_3179 BOUND_VARIABLE_309210 BOUND_VARIABLE_309211 BOUND_VARIABLE_309212))))) (let ((_let_16792 (forall ((BOUND_VARIABLE_309197 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309198 tptp.set_nat) (BOUND_VARIABLE_309199 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309199)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_309197) BOUND_VARIABLE_309198))) (ll_3178 BOUND_VARIABLE_309197 BOUND_VARIABLE_309198 BOUND_VARIABLE_309199))))) (let ((_let_16793 (forall ((BOUND_VARIABLE_309184 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309185 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309186 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309186)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_309184) BOUND_VARIABLE_309185))) (ll_3177 BOUND_VARIABLE_309184 BOUND_VARIABLE_309185 BOUND_VARIABLE_309186))))) (let ((_let_16794 (forall ((BOUND_VARIABLE_309171 (-> tptp.int tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309172 tptp.set_int) (BOUND_VARIABLE_309173 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309173)) (@ (@ tptp.image_8938366415781434990at_nat BOUND_VARIABLE_309171) BOUND_VARIABLE_309172))) (ll_3176 BOUND_VARIABLE_309171 BOUND_VARIABLE_309172 BOUND_VARIABLE_309173))))) (let ((_let_16795 (forall ((BOUND_VARIABLE_309158 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309159 tptp.set_o) (BOUND_VARIABLE_309160 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309160)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_309158) BOUND_VARIABLE_309159))) (ll_3175 BOUND_VARIABLE_309158 BOUND_VARIABLE_309159 BOUND_VARIABLE_309160))))) (let ((_let_16796 (forall ((BOUND_VARIABLE_309145 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309146 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_309147 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309147)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_309145) BOUND_VARIABLE_309146))) (ll_3174 BOUND_VARIABLE_309145 BOUND_VARIABLE_309146 BOUND_VARIABLE_309147))))) (let ((_let_16797 (forall ((BOUND_VARIABLE_309132 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_309133 tptp.set_nat) (BOUND_VARIABLE_309134 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309134)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_309132) BOUND_VARIABLE_309133))) (ll_3173 BOUND_VARIABLE_309132 BOUND_VARIABLE_309133 BOUND_VARIABLE_309134))))) (let ((_let_16798 (forall ((BOUND_VARIABLE_309119 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_309120 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309121 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_309121)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_309119) BOUND_VARIABLE_309120))) (ll_3172 BOUND_VARIABLE_309119 BOUND_VARIABLE_309120 BOUND_VARIABLE_309121))))) (let ((_let_16799 (forall ((BOUND_VARIABLE_309106 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309107 tptp.set_nat) (BOUND_VARIABLE_309108 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309108)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_309106) BOUND_VARIABLE_309107))) (ll_3171 BOUND_VARIABLE_309106 BOUND_VARIABLE_309107 BOUND_VARIABLE_309108))))) (let ((_let_16800 (forall ((BOUND_VARIABLE_309093 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_309094 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_309095 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_309095)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_309093) BOUND_VARIABLE_309094))) (ll_3170 BOUND_VARIABLE_309093 BOUND_VARIABLE_309094 BOUND_VARIABLE_309095))))) (let ((_let_16801 (forall ((BOUND_VARIABLE_309081 tptp.product_prod_nat_nat)) (= (ll_3169 BOUND_VARIABLE_309081) (= (@ tptp.product_snd_nat_nat BOUND_VARIABLE_309081) (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_309081)))))) (let ((_let_16802 (forall ((BOUND_VARIABLE_309073 tptp.produc859450856879609959at_nat)) (= (= (@ tptp.produc3213797794245857475at_nat BOUND_VARIABLE_309073) (@ tptp.produc6408287024330202629at_nat BOUND_VARIABLE_309073)) (ll_3168 BOUND_VARIABLE_309073))))) (let ((_let_16803 (forall ((BOUND_VARIABLE_309065 tptp.product_prod_int_int)) (= (= (@ tptp.product_fst_int_int BOUND_VARIABLE_309065) (@ tptp.product_snd_int_int BOUND_VARIABLE_309065)) (ll_3167 BOUND_VARIABLE_309065))))) (let ((_let_16804 (forall ((BOUND_VARIABLE_309038 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_309039 tptp.set_Product_unit) (BOUND_VARIABLE_309040 tptp.nat) (BOUND_VARIABLE_309041 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_309038) BOUND_VARIABLE_309039))))) (= (ll_3166 BOUND_VARIABLE_309038 BOUND_VARIABLE_309039 BOUND_VARIABLE_309040 BOUND_VARIABLE_309041) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_309041)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_309040) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16805 (forall ((BOUND_VARIABLE_309011 (-> tptp.int tptp.int)) (BOUND_VARIABLE_309012 tptp.set_int) (BOUND_VARIABLE_309013 tptp.nat) (BOUND_VARIABLE_309014 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_309011) BOUND_VARIABLE_309012))))) (= (ll_3165 BOUND_VARIABLE_309011 BOUND_VARIABLE_309012 BOUND_VARIABLE_309013 BOUND_VARIABLE_309014) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_309014)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_309013) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16806 (forall ((BOUND_VARIABLE_308984 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_308985 tptp.set_nat) (BOUND_VARIABLE_308986 tptp.nat) (BOUND_VARIABLE_308987 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int BOUND_VARIABLE_308984) BOUND_VARIABLE_308985))))) (= (ll_3164 BOUND_VARIABLE_308984 BOUND_VARIABLE_308985 BOUND_VARIABLE_308986 BOUND_VARIABLE_308987) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_308987)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_308986) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16807 (forall ((BOUND_VARIABLE_308957 (-> Bool tptp.int)) (BOUND_VARIABLE_308958 tptp.set_o) (BOUND_VARIABLE_308959 tptp.nat) (BOUND_VARIABLE_308960 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_308957) BOUND_VARIABLE_308958))))) (= (ll_3163 BOUND_VARIABLE_308957 BOUND_VARIABLE_308958 BOUND_VARIABLE_308959 BOUND_VARIABLE_308960) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_308960)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_308959) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16808 (forall ((BOUND_VARIABLE_308948 (-> tptp.product_unit tptp.nat)) (BOUND_VARIABLE_308949 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_308950 tptp.nat)) (= (@ BOUND_VARIABLE_308948 (@ BOUND_VARIABLE_308949 BOUND_VARIABLE_308950)) (ll_3162 BOUND_VARIABLE_308948 BOUND_VARIABLE_308949 BOUND_VARIABLE_308950))))) (let ((_let_16809 (forall ((BOUND_VARIABLE_308939 (-> tptp.product_unit tptp.nat)) (BOUND_VARIABLE_308940 (-> Bool tptp.product_unit)) (BOUND_VARIABLE_308941 Bool)) (= (@ BOUND_VARIABLE_308939 (@ BOUND_VARIABLE_308940 BOUND_VARIABLE_308941)) (ll_3161 BOUND_VARIABLE_308939 BOUND_VARIABLE_308940 BOUND_VARIABLE_308941))))) (let ((_let_16810 (forall ((BOUND_VARIABLE_308930 (-> tptp.product_unit tptp.nat)) (BOUND_VARIABLE_308931 (-> tptp.product_unit tptp.product_unit)) (BOUND_VARIABLE_308932 tptp.product_unit)) (= (@ BOUND_VARIABLE_308930 (@ BOUND_VARIABLE_308931 BOUND_VARIABLE_308932)) (ll_3160 BOUND_VARIABLE_308930 BOUND_VARIABLE_308931 BOUND_VARIABLE_308932))))) (let ((_let_16811 (forall ((BOUND_VARIABLE_308921 (-> tptp.product_unit tptp.nat)) (BOUND_VARIABLE_308922 (-> tptp.int tptp.product_unit)) (BOUND_VARIABLE_308923 tptp.int)) (= (@ BOUND_VARIABLE_308921 (@ BOUND_VARIABLE_308922 BOUND_VARIABLE_308923)) (ll_3159 BOUND_VARIABLE_308921 BOUND_VARIABLE_308922 BOUND_VARIABLE_308923))))) (let ((_let_16812 (forall ((BOUND_VARIABLE_308912 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308913 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_308914 tptp.nat)) (= (@ BOUND_VARIABLE_308912 (@ BOUND_VARIABLE_308913 BOUND_VARIABLE_308914)) (ll_3158 BOUND_VARIABLE_308912 BOUND_VARIABLE_308913 BOUND_VARIABLE_308914))))) (let ((_let_16813 (forall ((BOUND_VARIABLE_308903 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308904 (-> Bool tptp.int)) (BOUND_VARIABLE_308905 Bool)) (= (@ BOUND_VARIABLE_308903 (@ BOUND_VARIABLE_308904 BOUND_VARIABLE_308905)) (ll_3157 BOUND_VARIABLE_308903 BOUND_VARIABLE_308904 BOUND_VARIABLE_308905))))) (let ((_let_16814 (forall ((BOUND_VARIABLE_308894 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308895 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_308896 tptp.product_unit)) (= (@ BOUND_VARIABLE_308894 (@ BOUND_VARIABLE_308895 BOUND_VARIABLE_308896)) (ll_3156 BOUND_VARIABLE_308894 BOUND_VARIABLE_308895 BOUND_VARIABLE_308896))))) (let ((_let_16815 (forall ((BOUND_VARIABLE_308885 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308886 (-> tptp.int tptp.int)) (BOUND_VARIABLE_308887 tptp.int)) (= (@ BOUND_VARIABLE_308885 (@ BOUND_VARIABLE_308886 BOUND_VARIABLE_308887)) (ll_3155 BOUND_VARIABLE_308885 BOUND_VARIABLE_308886 BOUND_VARIABLE_308887))))) (let ((_let_16816 (forall ((BOUND_VARIABLE_308876 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308877 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308878 tptp.nat)) (= (@ BOUND_VARIABLE_308876 (@ BOUND_VARIABLE_308877 BOUND_VARIABLE_308878)) (ll_3154 BOUND_VARIABLE_308876 BOUND_VARIABLE_308877 BOUND_VARIABLE_308878))))) (let ((_let_16817 (forall ((BOUND_VARIABLE_308867 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308868 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308869 tptp.int)) (= (@ BOUND_VARIABLE_308867 (@ BOUND_VARIABLE_308868 BOUND_VARIABLE_308869)) (ll_3153 BOUND_VARIABLE_308867 BOUND_VARIABLE_308868 BOUND_VARIABLE_308869))))) (let ((_let_16818 (forall ((BOUND_VARIABLE_308858 (-> Bool Bool)) (BOUND_VARIABLE_308859 (-> tptp.nat Bool)) (BOUND_VARIABLE_308860 tptp.nat)) (= (@ BOUND_VARIABLE_308858 (@ BOUND_VARIABLE_308859 BOUND_VARIABLE_308860)) (ll_3152 BOUND_VARIABLE_308858 BOUND_VARIABLE_308859 BOUND_VARIABLE_308860))))) (let ((_let_16819 (forall ((BOUND_VARIABLE_308849 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_308850 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308851 tptp.int)) (= (@ BOUND_VARIABLE_308849 (@ BOUND_VARIABLE_308850 BOUND_VARIABLE_308851)) (ll_3151 BOUND_VARIABLE_308849 BOUND_VARIABLE_308850 BOUND_VARIABLE_308851))))) (let ((_let_16820 (forall ((BOUND_VARIABLE_308817 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308818 tptp.set_nat)) (= (ll_3150 BOUND_VARIABLE_308817 BOUND_VARIABLE_308818) (@ tptp.collect_nat (@ (@ ll_3959 BOUND_VARIABLE_308817) BOUND_VARIABLE_308818)))))) (let ((_let_16821 (forall ((BOUND_VARIABLE_308784 (-> tptp.nat Bool)) (BOUND_VARIABLE_308785 tptp.set_o)) (= (ll_3149 BOUND_VARIABLE_308784 BOUND_VARIABLE_308785) (@ tptp.collect_nat (@ (@ ll_3958 BOUND_VARIABLE_308784) BOUND_VARIABLE_308785)))))) (let ((_let_16822 (forall ((BOUND_VARIABLE_308751 (-> tptp.nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_308752 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3148 BOUND_VARIABLE_308751 BOUND_VARIABLE_308752) (@ tptp.collect_nat (@ (@ ll_3957 BOUND_VARIABLE_308751) BOUND_VARIABLE_308752)))))) (let ((_let_16823 (forall ((BOUND_VARIABLE_308718 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_308719 tptp.set_Pr4329608150637261639at_nat)) (= (ll_3147 BOUND_VARIABLE_308718 BOUND_VARIABLE_308719) (@ tptp.collect_nat (@ (@ ll_3956 BOUND_VARIABLE_308718) BOUND_VARIABLE_308719)))))) (let ((_let_16824 (forall ((BOUND_VARIABLE_308685 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_308686 tptp.set_Product_unit)) (= (ll_3146 BOUND_VARIABLE_308685 BOUND_VARIABLE_308686) (@ tptp.collect_nat (@ (@ ll_3955 BOUND_VARIABLE_308685) BOUND_VARIABLE_308686)))))) (let ((_let_16825 (forall ((BOUND_VARIABLE_308672 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_308673 tptp.set_Product_unit) (BOUND_VARIABLE_308674 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308674)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_308672) BOUND_VARIABLE_308673))) (ll_3145 BOUND_VARIABLE_308672 BOUND_VARIABLE_308673 BOUND_VARIABLE_308674))))) (let ((_let_16826 (forall ((BOUND_VARIABLE_308662 tptp.set_set_nat) (BOUND_VARIABLE_308663 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308663)) BOUND_VARIABLE_308662)) (ll_3144 BOUND_VARIABLE_308662 BOUND_VARIABLE_308663))))) (let ((_let_16827 (forall ((BOUND_VARIABLE_308652 tptp.set_set_nat) (BOUND_VARIABLE_308653 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308653)) BOUND_VARIABLE_308652)) (ll_3143 BOUND_VARIABLE_308652 BOUND_VARIABLE_308653))))) (let ((_let_16828 (forall ((BOUND_VARIABLE_308639 (-> tptp.set_nat tptp.set_nat)) (BOUND_VARIABLE_308640 tptp.set_set_nat) (BOUND_VARIABLE_308641 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308641)) (@ (@ tptp.image_7916887816326733075et_nat BOUND_VARIABLE_308639) BOUND_VARIABLE_308640))) (ll_3142 BOUND_VARIABLE_308639 BOUND_VARIABLE_308640 BOUND_VARIABLE_308641))))) (let ((_let_16829 (forall ((BOUND_VARIABLE_308629 tptp.set_set_nat) (BOUND_VARIABLE_308630 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308630)) BOUND_VARIABLE_308629)) (ll_3141 BOUND_VARIABLE_308629 BOUND_VARIABLE_308630))))) (let ((_let_16830 (forall ((BOUND_VARIABLE_308616 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_308617 tptp.set_Product_unit) (BOUND_VARIABLE_308618 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308618)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_308616) BOUND_VARIABLE_308617))) (ll_3140 BOUND_VARIABLE_308616 BOUND_VARIABLE_308617 BOUND_VARIABLE_308618))))) (let ((_let_16831 (forall ((BOUND_VARIABLE_308603 (-> tptp.set_nat tptp.set_nat)) (BOUND_VARIABLE_308604 tptp.set_set_nat) (BOUND_VARIABLE_308605 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308605)) (@ (@ tptp.image_7916887816326733075et_nat BOUND_VARIABLE_308603) BOUND_VARIABLE_308604))) (ll_3139 BOUND_VARIABLE_308603 BOUND_VARIABLE_308604 BOUND_VARIABLE_308605))))) (let ((_let_16832 (forall ((BOUND_VARIABLE_308593 tptp.set_set_nat) (BOUND_VARIABLE_308594 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308594)) BOUND_VARIABLE_308593)) (ll_3138 BOUND_VARIABLE_308593 BOUND_VARIABLE_308594))))) (let ((_let_16833 (forall ((BOUND_VARIABLE_308559 tptp.set_nat) (BOUND_VARIABLE_308560 tptp.product_prod_nat_nat)) (= (ll_3137 BOUND_VARIABLE_308559 BOUND_VARIABLE_308560) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_308560)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3954 BOUND_VARIABLE_308559)) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))))))) (let ((_let_16834 (forall ((BOUND_VARIABLE_308553 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_308554 tptp.ref_a)) (= BOUND_VARIABLE_308553 (ll_3136 BOUND_VARIABLE_308553 BOUND_VARIABLE_308554))))) (let ((_let_16835 (forall ((BOUND_VARIABLE_308535 tptp.set_nat) (BOUND_VARIABLE_308536 tptp.product_prod_nat_nat)) (= (ll_3135 BOUND_VARIABLE_308535 BOUND_VARIABLE_308536) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_308536)) (@ (@ tptp.image_7178329752028323786at_nat ll_3953) BOUND_VARIABLE_308535))))))) (let ((_let_16836 (forall ((BOUND_VARIABLE_308527 tptp.ref_a)) (= (ll_3134 BOUND_VARIABLE_308527) (@ (@ tptp.image_17660834435998945t_unit (@ tptp.produc2552614499379209865t_unit ll_2)) tptp.top_to2503719809363509323t_unit))))) (let ((_let_16837 (forall ((BOUND_VARIABLE_308508 (-> tptp.int tptp.int))) (= (ll_3133 BOUND_VARIABLE_308508) (@ tptp.collec213857154873943460nt_int (@ ll_3952 BOUND_VARIABLE_308508)))))) (let ((_let_16838 (forall ((BOUND_VARIABLE_308487 (-> tptp.nat tptp.nat))) (= (ll_3132 BOUND_VARIABLE_308487) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ ll_3951 BOUND_VARIABLE_308487))))))) (let ((_let_16839 (forall ((BOUND_VARIABLE_308450 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_308451 tptp.set_int) (BOUND_VARIABLE_308452 tptp.product_prod_int_int)) (= (ll_3131 BOUND_VARIABLE_308450 BOUND_VARIABLE_308451 BOUND_VARIABLE_308452) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_308452)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3950 BOUND_VARIABLE_308450)) BOUND_VARIABLE_308451))))))) (let ((_let_16840 (forall ((BOUND_VARIABLE_308413 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_308414 tptp.set_int) (BOUND_VARIABLE_308415 tptp.product_prod_int_int)) (= (ll_3130 BOUND_VARIABLE_308413 BOUND_VARIABLE_308414 BOUND_VARIABLE_308415) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_308415)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3949 BOUND_VARIABLE_308413)) BOUND_VARIABLE_308414))))))) (let ((_let_16841 (forall ((BOUND_VARIABLE_308384 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_308385 tptp.nat)) (= (ll_3129 BOUND_VARIABLE_308384 BOUND_VARIABLE_308385) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3948 BOUND_VARIABLE_308385)) (@ BOUND_VARIABLE_308384 BOUND_VARIABLE_308385))))))) (let ((_let_16842 (forall ((BOUND_VARIABLE_308355 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_308356 tptp.nat)) (= (ll_3128 BOUND_VARIABLE_308355 BOUND_VARIABLE_308356) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3947 BOUND_VARIABLE_308356)) (@ BOUND_VARIABLE_308355 BOUND_VARIABLE_308356))))))) (let ((_let_16843 (forall ((BOUND_VARIABLE_308344 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_308345 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_308346 tptp.code_integer) (BOUND_VARIABLE_308347 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_308344 (@ BOUND_VARIABLE_308345 BOUND_VARIABLE_308346)) BOUND_VARIABLE_308347) (ll_3127 BOUND_VARIABLE_308344 BOUND_VARIABLE_308345 BOUND_VARIABLE_308346 BOUND_VARIABLE_308347))))) (let ((_let_16844 (forall ((BOUND_VARIABLE_308335 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308336 (-> tptp.int tptp.int)) (BOUND_VARIABLE_308337 tptp.int)) (= (@ BOUND_VARIABLE_308335 (@ BOUND_VARIABLE_308336 BOUND_VARIABLE_308337)) (ll_3126 BOUND_VARIABLE_308335 BOUND_VARIABLE_308336 BOUND_VARIABLE_308337))))) (let ((_let_16845 (forall ((BOUND_VARIABLE_308326 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308327 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308328 tptp.nat)) (= (@ BOUND_VARIABLE_308326 (@ BOUND_VARIABLE_308327 BOUND_VARIABLE_308328)) (ll_3125 BOUND_VARIABLE_308326 BOUND_VARIABLE_308327 BOUND_VARIABLE_308328))))) (let ((_let_16846 (forall ((BOUND_VARIABLE_308317 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_308318 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_308319 tptp.int)) (= (@ BOUND_VARIABLE_308317 (@ BOUND_VARIABLE_308318 BOUND_VARIABLE_308319)) (ll_3124 BOUND_VARIABLE_308317 BOUND_VARIABLE_308318 BOUND_VARIABLE_308319))))) (let ((_let_16847 (forall ((BOUND_VARIABLE_308308 (-> Bool Bool)) (BOUND_VARIABLE_308309 (-> tptp.nat Bool)) (BOUND_VARIABLE_308310 tptp.nat)) (= (@ BOUND_VARIABLE_308308 (@ BOUND_VARIABLE_308309 BOUND_VARIABLE_308310)) (ll_3123 BOUND_VARIABLE_308308 BOUND_VARIABLE_308309 BOUND_VARIABLE_308310))))) (let ((_let_16848 (forall ((BOUND_VARIABLE_308302 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_308303 tptp.ref_a)) (= BOUND_VARIABLE_308302 (ll_3122 BOUND_VARIABLE_308302 BOUND_VARIABLE_308303))))) (let ((_let_16849 (forall ((BOUND_VARIABLE_308267 tptp.set_nat) (BOUND_VARIABLE_308268 tptp.set_nat) (BOUND_VARIABLE_308269 tptp.product_prod_nat_nat)) (= (ll_3121 BOUND_VARIABLE_308267 BOUND_VARIABLE_308268 BOUND_VARIABLE_308269) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_308269)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3946 BOUND_VARIABLE_308267)) BOUND_VARIABLE_308268))))))) (let ((_let_16850 (forall ((BOUND_VARIABLE_308257 tptp.set_set_nat) (BOUND_VARIABLE_308258 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308258)) BOUND_VARIABLE_308257)) (ll_3120 BOUND_VARIABLE_308257 BOUND_VARIABLE_308258))))) (let ((_let_16851 (forall ((BOUND_VARIABLE_308243 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_308244 tptp.set_set_nat) (BOUND_VARIABLE_308245 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_308245)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.vimage_nat_nat BOUND_VARIABLE_308243)) BOUND_VARIABLE_308244))) (ll_3119 BOUND_VARIABLE_308243 BOUND_VARIABLE_308244 BOUND_VARIABLE_308245))))) (let ((_let_16852 (forall ((BOUND_VARIABLE_308232 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308233 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308234 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_308233) BOUND_VARIABLE_308234)) BOUND_VARIABLE_308232) (ll_3118 BOUND_VARIABLE_308232 BOUND_VARIABLE_308233 BOUND_VARIABLE_308234))))) (let ((_let_16853 (forall ((BOUND_VARIABLE_308221 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308222 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308223 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_308222) BOUND_VARIABLE_308223)) BOUND_VARIABLE_308221) (ll_3117 BOUND_VARIABLE_308221 BOUND_VARIABLE_308222 BOUND_VARIABLE_308223))))) (let ((_let_16854 (forall ((BOUND_VARIABLE_308182 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308183 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308184 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308185 tptp.set_Pr1261947904930325089at_nat)) (= (ll_3116 BOUND_VARIABLE_308182 BOUND_VARIABLE_308183 BOUND_VARIABLE_308184 BOUND_VARIABLE_308185) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_308184) BOUND_VARIABLE_308185)) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3945 BOUND_VARIABLE_308182) BOUND_VARIABLE_308183))))))) (let ((_let_16855 (forall ((BOUND_VARIABLE_308171 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308172 tptp.product_prod_nat_nat) (BOUND_VARIABLE_308173 tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat BOUND_VARIABLE_308172) BOUND_VARIABLE_308173)) BOUND_VARIABLE_308171) (ll_3115 BOUND_VARIABLE_308171 BOUND_VARIABLE_308172 BOUND_VARIABLE_308173))))) (let ((_let_16856 (forall ((BOUND_VARIABLE_308160 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308161 tptp.product_prod_nat_nat) (BOUND_VARIABLE_308162 tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat BOUND_VARIABLE_308161) BOUND_VARIABLE_308162)) BOUND_VARIABLE_308160) (ll_3114 BOUND_VARIABLE_308160 BOUND_VARIABLE_308161 BOUND_VARIABLE_308162))))) (let ((_let_16857 (forall ((BOUND_VARIABLE_308127 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308128 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_308129 tptp.product_prod_nat_nat) (BOUND_VARIABLE_308130 tptp.product_prod_nat_nat)) (= (ll_3113 BOUND_VARIABLE_308127 BOUND_VARIABLE_308128 BOUND_VARIABLE_308129 BOUND_VARIABLE_308130) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat BOUND_VARIABLE_308129) BOUND_VARIABLE_308130)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3944 BOUND_VARIABLE_308127) BOUND_VARIABLE_308128)) tptp.top_top_set_o))))))) (let ((_let_16858 (forall ((BOUND_VARIABLE_308116 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308117 tptp.int) (BOUND_VARIABLE_308118 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_308117) BOUND_VARIABLE_308118)) BOUND_VARIABLE_308116) (ll_3112 BOUND_VARIABLE_308116 BOUND_VARIABLE_308117 BOUND_VARIABLE_308118))))) (let ((_let_16859 (forall ((BOUND_VARIABLE_308105 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308106 tptp.int) (BOUND_VARIABLE_308107 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_308106) BOUND_VARIABLE_308107)) BOUND_VARIABLE_308105) (ll_3111 BOUND_VARIABLE_308105 BOUND_VARIABLE_308106 BOUND_VARIABLE_308107))))) (let ((_let_16860 (forall ((BOUND_VARIABLE_308091 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308092 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_308093 tptp.int) (BOUND_VARIABLE_308094 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_308093) BOUND_VARIABLE_308094)) (@ (@ tptp.sup_su6024340866399070445nt_int BOUND_VARIABLE_308091) BOUND_VARIABLE_308092)) (ll_3110 BOUND_VARIABLE_308091 BOUND_VARIABLE_308092 BOUND_VARIABLE_308093 BOUND_VARIABLE_308094))))) (let ((_let_16861 (forall ((BOUND_VARIABLE_308080 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308081 tptp.nat) (BOUND_VARIABLE_308082 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_308081) BOUND_VARIABLE_308082)) BOUND_VARIABLE_308080) (ll_3109 BOUND_VARIABLE_308080 BOUND_VARIABLE_308081 BOUND_VARIABLE_308082))))) (let ((_let_16862 (forall ((BOUND_VARIABLE_308069 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308070 tptp.nat) (BOUND_VARIABLE_308071 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_308070) BOUND_VARIABLE_308071)) BOUND_VARIABLE_308069) (ll_3108 BOUND_VARIABLE_308069 BOUND_VARIABLE_308070 BOUND_VARIABLE_308071))))) (let ((_let_16863 (forall ((BOUND_VARIABLE_308055 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308056 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_308057 tptp.nat) (BOUND_VARIABLE_308058 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_308057) BOUND_VARIABLE_308058)) (@ (@ tptp.sup_su6327502436637775413at_nat BOUND_VARIABLE_308055) BOUND_VARIABLE_308056)) (ll_3107 BOUND_VARIABLE_308055 BOUND_VARIABLE_308056 BOUND_VARIABLE_308057 BOUND_VARIABLE_308058))))) (let ((_let_16864 (forall ((BOUND_VARIABLE_308044 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308045 tptp.nat) (BOUND_VARIABLE_308046 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_308045) BOUND_VARIABLE_308046)) BOUND_VARIABLE_308044) (ll_3106 BOUND_VARIABLE_308044 BOUND_VARIABLE_308045 BOUND_VARIABLE_308046))))) (let ((_let_16865 (forall ((BOUND_VARIABLE_308033 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308034 tptp.nat) (BOUND_VARIABLE_308035 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_308034) BOUND_VARIABLE_308035)) BOUND_VARIABLE_308033) (ll_3105 BOUND_VARIABLE_308033 BOUND_VARIABLE_308034 BOUND_VARIABLE_308035))))) (let ((_let_16866 (forall ((BOUND_VARIABLE_308019 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308020 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_308021 tptp.nat) (BOUND_VARIABLE_308022 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_308021) BOUND_VARIABLE_308022)) (@ (@ tptp.sup_su2042722026077122175at_num BOUND_VARIABLE_308019) BOUND_VARIABLE_308020)) (ll_3104 BOUND_VARIABLE_308019 BOUND_VARIABLE_308020 BOUND_VARIABLE_308021 BOUND_VARIABLE_308022))))) (let ((_let_16867 (forall ((BOUND_VARIABLE_308008 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_308009 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_308010 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_308009) BOUND_VARIABLE_308010)) BOUND_VARIABLE_308008) (ll_3103 BOUND_VARIABLE_308008 BOUND_VARIABLE_308009 BOUND_VARIABLE_308010))))) (let ((_let_16868 (forall ((BOUND_VARIABLE_307997 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307998 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307999 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_307998) BOUND_VARIABLE_307999)) BOUND_VARIABLE_307997) (ll_3102 BOUND_VARIABLE_307997 BOUND_VARIABLE_307998 BOUND_VARIABLE_307999))))) (let ((_let_16869 (forall ((BOUND_VARIABLE_307983 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307984 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307985 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307986 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_307985) BOUND_VARIABLE_307986)) (@ (@ tptp.sup_su5395584912770621083at_nat BOUND_VARIABLE_307983) BOUND_VARIABLE_307984)) (ll_3101 BOUND_VARIABLE_307983 BOUND_VARIABLE_307984 BOUND_VARIABLE_307985 BOUND_VARIABLE_307986))))) (let ((_let_16870 (forall ((BOUND_VARIABLE_307967 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_307968 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_307969 tptp.code_integer) (BOUND_VARIABLE_307970 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_307971 tptp.code_integer) (BOUND_VARIABLE_307972 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_307967 (@ (@ (@ (@ tptp.fun_up8056716234270145717nteger BOUND_VARIABLE_307968) BOUND_VARIABLE_307969) BOUND_VARIABLE_307970) BOUND_VARIABLE_307971)) BOUND_VARIABLE_307972) (ll_3100 BOUND_VARIABLE_307967 BOUND_VARIABLE_307968 BOUND_VARIABLE_307969 BOUND_VARIABLE_307970 BOUND_VARIABLE_307971 BOUND_VARIABLE_307972))))) (let ((_let_16871 (forall ((BOUND_VARIABLE_307956 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_307957 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_307958 tptp.code_integer) (BOUND_VARIABLE_307959 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_307956 (@ BOUND_VARIABLE_307957 BOUND_VARIABLE_307958)) BOUND_VARIABLE_307959) (ll_3099 BOUND_VARIABLE_307956 BOUND_VARIABLE_307957 BOUND_VARIABLE_307958 BOUND_VARIABLE_307959))))) (let ((_let_16872 (forall ((BOUND_VARIABLE_307942 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307943 (-> tptp.int tptp.int)) (BOUND_VARIABLE_307944 tptp.int) (BOUND_VARIABLE_307945 tptp.int) (BOUND_VARIABLE_307946 tptp.int)) (= (@ BOUND_VARIABLE_307942 (@ (@ (@ (@ tptp.fun_upd_int_int BOUND_VARIABLE_307943) BOUND_VARIABLE_307944) BOUND_VARIABLE_307945) BOUND_VARIABLE_307946)) (ll_3098 BOUND_VARIABLE_307942 BOUND_VARIABLE_307943 BOUND_VARIABLE_307944 BOUND_VARIABLE_307945 BOUND_VARIABLE_307946))))) (let ((_let_16873 (forall ((BOUND_VARIABLE_307933 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307934 (-> tptp.int tptp.int)) (BOUND_VARIABLE_307935 tptp.int)) (= (@ BOUND_VARIABLE_307933 (@ BOUND_VARIABLE_307934 BOUND_VARIABLE_307935)) (ll_3097 BOUND_VARIABLE_307933 BOUND_VARIABLE_307934 BOUND_VARIABLE_307935))))) (let ((_let_16874 (forall ((BOUND_VARIABLE_307919 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307920 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307921 tptp.nat) (BOUND_VARIABLE_307922 tptp.nat) (BOUND_VARIABLE_307923 tptp.nat)) (= (@ BOUND_VARIABLE_307919 (@ (@ (@ (@ tptp.fun_upd_nat_nat BOUND_VARIABLE_307920) BOUND_VARIABLE_307921) BOUND_VARIABLE_307922) BOUND_VARIABLE_307923)) (ll_3096 BOUND_VARIABLE_307919 BOUND_VARIABLE_307920 BOUND_VARIABLE_307921 BOUND_VARIABLE_307922 BOUND_VARIABLE_307923))))) (let ((_let_16875 (forall ((BOUND_VARIABLE_307910 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307911 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307912 tptp.nat)) (= (@ BOUND_VARIABLE_307910 (@ BOUND_VARIABLE_307911 BOUND_VARIABLE_307912)) (ll_3095 BOUND_VARIABLE_307910 BOUND_VARIABLE_307911 BOUND_VARIABLE_307912))))) (let ((_let_16876 (forall ((BOUND_VARIABLE_307896 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_307897 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307898 tptp.int) (BOUND_VARIABLE_307899 tptp.nat) (BOUND_VARIABLE_307900 tptp.int)) (= (@ BOUND_VARIABLE_307896 (@ (@ (@ (@ tptp.fun_upd_int_nat BOUND_VARIABLE_307897) BOUND_VARIABLE_307898) BOUND_VARIABLE_307899) BOUND_VARIABLE_307900)) (ll_3094 BOUND_VARIABLE_307896 BOUND_VARIABLE_307897 BOUND_VARIABLE_307898 BOUND_VARIABLE_307899 BOUND_VARIABLE_307900))))) (let ((_let_16877 (forall ((BOUND_VARIABLE_307887 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_307888 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307889 tptp.int)) (= (@ BOUND_VARIABLE_307887 (@ BOUND_VARIABLE_307888 BOUND_VARIABLE_307889)) (ll_3093 BOUND_VARIABLE_307887 BOUND_VARIABLE_307888 BOUND_VARIABLE_307889))))) (let ((_let_16878 (forall ((BOUND_VARIABLE_307873 (-> Bool Bool)) (BOUND_VARIABLE_307874 (-> tptp.nat Bool)) (BOUND_VARIABLE_307875 tptp.nat) (BOUND_VARIABLE_307876 Bool) (BOUND_VARIABLE_307877 tptp.nat)) (= (@ BOUND_VARIABLE_307873 (@ (@ (@ (@ tptp.fun_upd_nat_o BOUND_VARIABLE_307874) BOUND_VARIABLE_307875) BOUND_VARIABLE_307876) BOUND_VARIABLE_307877)) (ll_3092 BOUND_VARIABLE_307873 BOUND_VARIABLE_307874 BOUND_VARIABLE_307875 BOUND_VARIABLE_307876 BOUND_VARIABLE_307877))))) (let ((_let_16879 (forall ((BOUND_VARIABLE_307864 (-> Bool Bool)) (BOUND_VARIABLE_307865 (-> tptp.nat Bool)) (BOUND_VARIABLE_307866 tptp.nat)) (= (@ BOUND_VARIABLE_307864 (@ BOUND_VARIABLE_307865 BOUND_VARIABLE_307866)) (ll_3091 BOUND_VARIABLE_307864 BOUND_VARIABLE_307865 BOUND_VARIABLE_307866))))) (let ((_let_16880 (forall ((BOUND_VARIABLE_307853 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307854 tptp.nat) (BOUND_VARIABLE_307855 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_307854) BOUND_VARIABLE_307855)) BOUND_VARIABLE_307853) (ll_3090 BOUND_VARIABLE_307853 BOUND_VARIABLE_307854 BOUND_VARIABLE_307855))))) (let ((_let_16881 (forall ((BOUND_VARIABLE_307842 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307843 tptp.nat) (BOUND_VARIABLE_307844 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_307843) BOUND_VARIABLE_307844)) BOUND_VARIABLE_307842) (ll_3089 BOUND_VARIABLE_307842 BOUND_VARIABLE_307843 BOUND_VARIABLE_307844))))) (let ((_let_16882 (forall ((BOUND_VARIABLE_307828 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307829 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307830 tptp.nat) (BOUND_VARIABLE_307831 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_307830) BOUND_VARIABLE_307831)) (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_307828) BOUND_VARIABLE_307829)) (ll_3088 BOUND_VARIABLE_307828 BOUND_VARIABLE_307829 BOUND_VARIABLE_307830 BOUND_VARIABLE_307831))))) (let ((_let_16883 (forall ((BOUND_VARIABLE_307817 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307818 tptp.int) (BOUND_VARIABLE_307819 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_307818) BOUND_VARIABLE_307819)) BOUND_VARIABLE_307817) (ll_3087 BOUND_VARIABLE_307817 BOUND_VARIABLE_307818 BOUND_VARIABLE_307819))))) (let ((_let_16884 (forall ((BOUND_VARIABLE_307806 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307807 tptp.int) (BOUND_VARIABLE_307808 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_307807) BOUND_VARIABLE_307808)) BOUND_VARIABLE_307806) (ll_3086 BOUND_VARIABLE_307806 BOUND_VARIABLE_307807 BOUND_VARIABLE_307808))))) (let ((_let_16885 (forall ((BOUND_VARIABLE_307792 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307793 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_307794 tptp.int) (BOUND_VARIABLE_307795 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_307794) BOUND_VARIABLE_307795)) (@ (@ tptp.inf_in2269163501485487111nt_int BOUND_VARIABLE_307792) BOUND_VARIABLE_307793)) (ll_3085 BOUND_VARIABLE_307792 BOUND_VARIABLE_307793 BOUND_VARIABLE_307794 BOUND_VARIABLE_307795))))) (let ((_let_16886 (forall ((BOUND_VARIABLE_307781 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307782 tptp.nat) (BOUND_VARIABLE_307783 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_307782) BOUND_VARIABLE_307783)) BOUND_VARIABLE_307781) (ll_3084 BOUND_VARIABLE_307781 BOUND_VARIABLE_307782 BOUND_VARIABLE_307783))))) (let ((_let_16887 (forall ((BOUND_VARIABLE_307770 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307771 tptp.nat) (BOUND_VARIABLE_307772 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_307771) BOUND_VARIABLE_307772)) BOUND_VARIABLE_307770) (ll_3083 BOUND_VARIABLE_307770 BOUND_VARIABLE_307771 BOUND_VARIABLE_307772))))) (let ((_let_16888 (forall ((BOUND_VARIABLE_307756 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307757 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_307758 tptp.nat) (BOUND_VARIABLE_307759 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_307758) BOUND_VARIABLE_307759)) (@ (@ tptp.inf_in7510916698018314649at_num BOUND_VARIABLE_307756) BOUND_VARIABLE_307757)) (ll_3082 BOUND_VARIABLE_307756 BOUND_VARIABLE_307757 BOUND_VARIABLE_307758 BOUND_VARIABLE_307759))))) (let ((_let_16889 (forall ((BOUND_VARIABLE_307745 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307746 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307747 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_307746) BOUND_VARIABLE_307747)) BOUND_VARIABLE_307745) (ll_3081 BOUND_VARIABLE_307745 BOUND_VARIABLE_307746 BOUND_VARIABLE_307747))))) (let ((_let_16890 (forall ((BOUND_VARIABLE_307734 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307735 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307736 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_307735) BOUND_VARIABLE_307736)) BOUND_VARIABLE_307734) (ll_3080 BOUND_VARIABLE_307734 BOUND_VARIABLE_307735 BOUND_VARIABLE_307736))))) (let ((_let_16891 (forall ((BOUND_VARIABLE_307720 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307721 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307722 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_307723 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_307722) BOUND_VARIABLE_307723)) (@ (@ tptp.inf_in7913087082777306421at_nat BOUND_VARIABLE_307720) BOUND_VARIABLE_307721)) (ll_3079 BOUND_VARIABLE_307720 BOUND_VARIABLE_307721 BOUND_VARIABLE_307722 BOUND_VARIABLE_307723))))) (let ((_let_16892 (forall ((BOUND_VARIABLE_307709 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307710 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307711 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_307710) BOUND_VARIABLE_307711)) BOUND_VARIABLE_307709) (ll_3078 BOUND_VARIABLE_307709 BOUND_VARIABLE_307710 BOUND_VARIABLE_307711))))) (let ((_let_16893 (forall ((BOUND_VARIABLE_307698 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307699 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307700 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_307699) BOUND_VARIABLE_307700)) BOUND_VARIABLE_307698) (ll_3077 BOUND_VARIABLE_307698 BOUND_VARIABLE_307699 BOUND_VARIABLE_307700))))) (let ((_let_16894 (forall ((BOUND_VARIABLE_307684 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307685 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_307686 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_307687 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_307686) BOUND_VARIABLE_307687)) (@ (@ tptp.inf_in2456762090751560885at_nat BOUND_VARIABLE_307684) BOUND_VARIABLE_307685)) (ll_3076 BOUND_VARIABLE_307684 BOUND_VARIABLE_307685 BOUND_VARIABLE_307686 BOUND_VARIABLE_307687))))) (let ((_let_16895 (forall ((BOUND_VARIABLE_307673 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_307674 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_307675 tptp.code_integer) (BOUND_VARIABLE_307676 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_307673 (@ BOUND_VARIABLE_307674 BOUND_VARIABLE_307675)) BOUND_VARIABLE_307676) (ll_3075 BOUND_VARIABLE_307673 BOUND_VARIABLE_307674 BOUND_VARIABLE_307675 BOUND_VARIABLE_307676))))) (let ((_let_16896 (forall ((BOUND_VARIABLE_307664 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307665 (-> tptp.int tptp.int)) (BOUND_VARIABLE_307666 tptp.int)) (= (@ BOUND_VARIABLE_307664 (@ BOUND_VARIABLE_307665 BOUND_VARIABLE_307666)) (ll_3074 BOUND_VARIABLE_307664 BOUND_VARIABLE_307665 BOUND_VARIABLE_307666))))) (let ((_let_16897 (forall ((BOUND_VARIABLE_307655 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307656 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307657 tptp.nat)) (= (@ BOUND_VARIABLE_307655 (@ BOUND_VARIABLE_307656 BOUND_VARIABLE_307657)) (ll_3073 BOUND_VARIABLE_307655 BOUND_VARIABLE_307656 BOUND_VARIABLE_307657))))) (let ((_let_16898 (forall ((BOUND_VARIABLE_307646 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_307647 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307648 tptp.int)) (= (@ BOUND_VARIABLE_307646 (@ BOUND_VARIABLE_307647 BOUND_VARIABLE_307648)) (ll_3072 BOUND_VARIABLE_307646 BOUND_VARIABLE_307647 BOUND_VARIABLE_307648))))) (let ((_let_16899 (forall ((BOUND_VARIABLE_307637 (-> Bool Bool)) (BOUND_VARIABLE_307638 (-> tptp.nat Bool)) (BOUND_VARIABLE_307639 tptp.nat)) (= (@ BOUND_VARIABLE_307637 (@ BOUND_VARIABLE_307638 BOUND_VARIABLE_307639)) (ll_3071 BOUND_VARIABLE_307637 BOUND_VARIABLE_307638 BOUND_VARIABLE_307639))))) (let ((_let_16900 (forall ((BOUND_VARIABLE_307626 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_307627 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_307628 tptp.code_integer) (BOUND_VARIABLE_307629 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_307626 (@ BOUND_VARIABLE_307627 BOUND_VARIABLE_307628)) BOUND_VARIABLE_307629) (ll_3070 BOUND_VARIABLE_307626 BOUND_VARIABLE_307627 BOUND_VARIABLE_307628 BOUND_VARIABLE_307629))))) (let ((_let_16901 (forall ((BOUND_VARIABLE_307617 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307618 (-> tptp.int tptp.int)) (BOUND_VARIABLE_307619 tptp.int)) (= (@ BOUND_VARIABLE_307617 (@ BOUND_VARIABLE_307618 BOUND_VARIABLE_307619)) (ll_3069 BOUND_VARIABLE_307617 BOUND_VARIABLE_307618 BOUND_VARIABLE_307619))))) (let ((_let_16902 (forall ((BOUND_VARIABLE_307608 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307609 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307610 tptp.nat)) (= (@ BOUND_VARIABLE_307608 (@ BOUND_VARIABLE_307609 BOUND_VARIABLE_307610)) (ll_3068 BOUND_VARIABLE_307608 BOUND_VARIABLE_307609 BOUND_VARIABLE_307610))))) (let ((_let_16903 (forall ((BOUND_VARIABLE_307599 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_307600 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307601 tptp.int)) (= (@ BOUND_VARIABLE_307599 (@ BOUND_VARIABLE_307600 BOUND_VARIABLE_307601)) (ll_3067 BOUND_VARIABLE_307599 BOUND_VARIABLE_307600 BOUND_VARIABLE_307601))))) (let ((_let_16904 (forall ((BOUND_VARIABLE_307590 (-> Bool Bool)) (BOUND_VARIABLE_307591 (-> tptp.nat Bool)) (BOUND_VARIABLE_307592 tptp.nat)) (= (@ BOUND_VARIABLE_307590 (@ BOUND_VARIABLE_307591 BOUND_VARIABLE_307592)) (ll_3066 BOUND_VARIABLE_307590 BOUND_VARIABLE_307591 BOUND_VARIABLE_307592))))) (let ((_let_16905 (forall ((BOUND_VARIABLE_307580 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_307581 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_307581)) BOUND_VARIABLE_307580)) (ll_3065 BOUND_VARIABLE_307580 BOUND_VARIABLE_307581))))) (let ((_let_16906 (forall ((BOUND_VARIABLE_307569 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_307570 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_307570)) (@ (@ tptp.image_5853224409075402146et_nat tptp.field_nat) BOUND_VARIABLE_307569))) (ll_3064 BOUND_VARIABLE_307569 BOUND_VARIABLE_307570))))) (let ((_let_16907 (forall ((BOUND_VARIABLE_307549 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307550 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307551 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307552 tptp.int) (BOUND_VARIABLE_307553 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_307549 BOUND_VARIABLE_307552) B4)) (not (@ (@ (@ (@ tptp.sup_su1544571744061072657eger_o BOUND_VARIABLE_307550) BOUND_VARIABLE_307551) B4) BOUND_VARIABLE_307553))))) (ll_3063 BOUND_VARIABLE_307549 BOUND_VARIABLE_307550 BOUND_VARIABLE_307551 BOUND_VARIABLE_307552 BOUND_VARIABLE_307553))))) (let ((_let_16908 (forall ((BOUND_VARIABLE_307532 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307533 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307534 tptp.int) (BOUND_VARIABLE_307535 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_307532 BOUND_VARIABLE_307534) B4)) (not (@ (@ BOUND_VARIABLE_307533 B4) BOUND_VARIABLE_307535))))) (ll_3062 BOUND_VARIABLE_307532 BOUND_VARIABLE_307533 BOUND_VARIABLE_307534 BOUND_VARIABLE_307535))))) (let ((_let_16909 (forall ((BOUND_VARIABLE_307515 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307516 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307517 tptp.int) (BOUND_VARIABLE_307518 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_307515 BOUND_VARIABLE_307517) B4)) (not (@ (@ BOUND_VARIABLE_307516 B4) BOUND_VARIABLE_307518))))) (ll_3061 BOUND_VARIABLE_307515 BOUND_VARIABLE_307516 BOUND_VARIABLE_307517 BOUND_VARIABLE_307518))))) (let ((_let_16910 (forall ((BOUND_VARIABLE_307495 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307496 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307497 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307498 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307499 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_307495 BOUND_VARIABLE_307498) B4)) (not (@ (@ (@ (@ tptp.sup_su5231854730092680051_int_o BOUND_VARIABLE_307496) BOUND_VARIABLE_307497) B4) BOUND_VARIABLE_307499))))) (ll_3060 BOUND_VARIABLE_307495 BOUND_VARIABLE_307496 BOUND_VARIABLE_307497 BOUND_VARIABLE_307498 BOUND_VARIABLE_307499))))) (let ((_let_16911 (forall ((BOUND_VARIABLE_307478 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307479 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307480 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307481 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_307478 BOUND_VARIABLE_307480) B4)) (not (@ (@ BOUND_VARIABLE_307479 B4) BOUND_VARIABLE_307481))))) (ll_3059 BOUND_VARIABLE_307478 BOUND_VARIABLE_307479 BOUND_VARIABLE_307480 BOUND_VARIABLE_307481))))) (let ((_let_16912 (forall ((BOUND_VARIABLE_307461 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307462 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307463 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307464 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_307461 BOUND_VARIABLE_307463) B4)) (not (@ (@ BOUND_VARIABLE_307462 B4) BOUND_VARIABLE_307464))))) (ll_3058 BOUND_VARIABLE_307461 BOUND_VARIABLE_307462 BOUND_VARIABLE_307463 BOUND_VARIABLE_307464))))) (let ((_let_16913 (forall ((BOUND_VARIABLE_307441 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307442 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307443 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307444 tptp.int) (BOUND_VARIABLE_307445 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ (@ tptp.sup_sup_int_int_o BOUND_VARIABLE_307441) BOUND_VARIABLE_307442) BOUND_VARIABLE_307444) B4)) (not (@ (@ BOUND_VARIABLE_307443 B4) BOUND_VARIABLE_307445))))) (ll_3057 BOUND_VARIABLE_307441 BOUND_VARIABLE_307442 BOUND_VARIABLE_307443 BOUND_VARIABLE_307444 BOUND_VARIABLE_307445))))) (let ((_let_16914 (forall ((BOUND_VARIABLE_307424 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307425 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307426 tptp.int) (BOUND_VARIABLE_307427 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_307424 BOUND_VARIABLE_307426) B4)) (not (@ (@ BOUND_VARIABLE_307425 B4) BOUND_VARIABLE_307427))))) (ll_3056 BOUND_VARIABLE_307424 BOUND_VARIABLE_307425 BOUND_VARIABLE_307426 BOUND_VARIABLE_307427))))) (let ((_let_16915 (forall ((BOUND_VARIABLE_307407 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_307408 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_307409 tptp.int) (BOUND_VARIABLE_307410 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_307407 BOUND_VARIABLE_307409) B4)) (not (@ (@ BOUND_VARIABLE_307408 B4) BOUND_VARIABLE_307410))))) (ll_3055 BOUND_VARIABLE_307407 BOUND_VARIABLE_307408 BOUND_VARIABLE_307409 BOUND_VARIABLE_307410))))) (let ((_let_16916 (forall ((BOUND_VARIABLE_307387 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307388 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307389 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307390 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307391 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ (@ tptp.sup_su362511073950362882_nat_o BOUND_VARIABLE_307387) BOUND_VARIABLE_307388) BOUND_VARIABLE_307390) B4)) (not (@ (@ BOUND_VARIABLE_307389 B4) BOUND_VARIABLE_307391))))) (ll_3054 BOUND_VARIABLE_307387 BOUND_VARIABLE_307388 BOUND_VARIABLE_307389 BOUND_VARIABLE_307390 BOUND_VARIABLE_307391))))) (let ((_let_16917 (forall ((BOUND_VARIABLE_307370 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307371 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307372 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307373 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_307370 BOUND_VARIABLE_307372) B4)) (not (@ (@ BOUND_VARIABLE_307371 B4) BOUND_VARIABLE_307373))))) (ll_3053 BOUND_VARIABLE_307370 BOUND_VARIABLE_307371 BOUND_VARIABLE_307372 BOUND_VARIABLE_307373))))) (let ((_let_16918 (forall ((BOUND_VARIABLE_307353 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_307354 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_307355 tptp.product_prod_nat_nat) (BOUND_VARIABLE_307356 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_307353 BOUND_VARIABLE_307355) B4)) (not (@ (@ BOUND_VARIABLE_307354 B4) BOUND_VARIABLE_307356))))) (ll_3052 BOUND_VARIABLE_307353 BOUND_VARIABLE_307354 BOUND_VARIABLE_307355 BOUND_VARIABLE_307356))))) (let ((_let_16919 (forall ((BOUND_VARIABLE_307344 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307345 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_307346 tptp.nat)) (= (@ BOUND_VARIABLE_307344 (@ BOUND_VARIABLE_307345 BOUND_VARIABLE_307346)) (ll_3051 BOUND_VARIABLE_307344 BOUND_VARIABLE_307345 BOUND_VARIABLE_307346))))) (let ((_let_16920 (forall ((BOUND_VARIABLE_307335 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307336 (-> Bool tptp.int)) (BOUND_VARIABLE_307337 Bool)) (= (@ BOUND_VARIABLE_307335 (@ BOUND_VARIABLE_307336 BOUND_VARIABLE_307337)) (ll_3050 BOUND_VARIABLE_307335 BOUND_VARIABLE_307336 BOUND_VARIABLE_307337))))) (let ((_let_16921 (forall ((BOUND_VARIABLE_307326 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307327 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_307328 tptp.product_unit)) (= (@ BOUND_VARIABLE_307326 (@ BOUND_VARIABLE_307327 BOUND_VARIABLE_307328)) (ll_3049 BOUND_VARIABLE_307326 BOUND_VARIABLE_307327 BOUND_VARIABLE_307328))))) (let ((_let_16922 (forall ((BOUND_VARIABLE_307317 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307318 (-> tptp.int tptp.int)) (BOUND_VARIABLE_307319 tptp.int)) (= (@ BOUND_VARIABLE_307317 (@ BOUND_VARIABLE_307318 BOUND_VARIABLE_307319)) (ll_3048 BOUND_VARIABLE_307317 BOUND_VARIABLE_307318 BOUND_VARIABLE_307319))))) (let ((_let_16923 (forall ((BOUND_VARIABLE_307288 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_307289 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307290 tptp.set_nat) (BOUND_VARIABLE_307291 tptp.nat) (BOUND_VARIABLE_307292 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_307288 (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat BOUND_VARIABLE_307289) BOUND_VARIABLE_307290)))))) (= (ll_3047 BOUND_VARIABLE_307288 BOUND_VARIABLE_307289 BOUND_VARIABLE_307290 BOUND_VARIABLE_307291 BOUND_VARIABLE_307292) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_307292)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_307291) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16924 (forall ((BOUND_VARIABLE_307279 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_307280 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307281 tptp.nat)) (= (@ BOUND_VARIABLE_307279 (@ BOUND_VARIABLE_307280 BOUND_VARIABLE_307281)) (ll_3046 BOUND_VARIABLE_307279 BOUND_VARIABLE_307280 BOUND_VARIABLE_307281))))) (let ((_let_16925 (forall ((BOUND_VARIABLE_307250 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_307251 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307252 tptp.set_int) (BOUND_VARIABLE_307253 tptp.nat) (BOUND_VARIABLE_307254 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_307250 (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat BOUND_VARIABLE_307251) BOUND_VARIABLE_307252)))))) (= (ll_3045 BOUND_VARIABLE_307250 BOUND_VARIABLE_307251 BOUND_VARIABLE_307252 BOUND_VARIABLE_307253 BOUND_VARIABLE_307254) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_307254)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_307253) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16926 (forall ((BOUND_VARIABLE_307241 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_307242 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307243 tptp.int)) (= (@ BOUND_VARIABLE_307241 (@ BOUND_VARIABLE_307242 BOUND_VARIABLE_307243)) (ll_3044 BOUND_VARIABLE_307241 BOUND_VARIABLE_307242 BOUND_VARIABLE_307243))))) (let ((_let_16927 (forall ((BOUND_VARIABLE_307232 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307233 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307234 tptp.nat)) (= (@ BOUND_VARIABLE_307232 (@ BOUND_VARIABLE_307233 BOUND_VARIABLE_307234)) (ll_3043 BOUND_VARIABLE_307232 BOUND_VARIABLE_307233 BOUND_VARIABLE_307234))))) (let ((_let_16928 (forall ((BOUND_VARIABLE_307223 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_307224 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307225 tptp.int)) (= (@ BOUND_VARIABLE_307223 (@ BOUND_VARIABLE_307224 BOUND_VARIABLE_307225)) (ll_3042 BOUND_VARIABLE_307223 BOUND_VARIABLE_307224 BOUND_VARIABLE_307225))))) (let ((_let_16929 (forall ((BOUND_VARIABLE_307188 (-> tptp.int tptp.int)) (BOUND_VARIABLE_307189 tptp.set_int) (BOUND_VARIABLE_307190 tptp.nat) (BOUND_VARIABLE_307191 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ BOUND_VARIABLE_307188 (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) BOUND_VARIABLE_307189))))))) (= (ll_3041 BOUND_VARIABLE_307188 BOUND_VARIABLE_307189 BOUND_VARIABLE_307190 BOUND_VARIABLE_307191) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_307191)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_307190) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_16930 (forall ((BOUND_VARIABLE_307162 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_307163 tptp.set_nat) (BOUND_VARIABLE_307164 tptp.nat) (BOUND_VARIABLE_307165 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_307162 (@ tptp.complete_Inf_Inf_nat BOUND_VARIABLE_307163))))) (= (ll_3040 BOUND_VARIABLE_307162 BOUND_VARIABLE_307163 BOUND_VARIABLE_307164 BOUND_VARIABLE_307165) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_307165)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_307164) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16931 (forall ((BOUND_VARIABLE_307136 (-> Bool tptp.int)) (BOUND_VARIABLE_307137 tptp.set_o) (BOUND_VARIABLE_307138 tptp.nat) (BOUND_VARIABLE_307139 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_307136 (@ tptp.complete_Inf_Inf_o BOUND_VARIABLE_307137))))) (= (ll_3039 BOUND_VARIABLE_307136 BOUND_VARIABLE_307137 BOUND_VARIABLE_307138 BOUND_VARIABLE_307139) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_307139)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_307138) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16932 (forall ((BOUND_VARIABLE_307118 tptp.set_int) (BOUND_VARIABLE_307119 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_307120 tptp.int) (BOUND_VARIABLE_307121 tptp.nat)) (= (@ (@ (@ tptp.if_int (@ (@ tptp.member_nat BOUND_VARIABLE_307121) (@ (@ tptp.image_int_nat BOUND_VARIABLE_307119) BOUND_VARIABLE_307118))) (@ (@ (@ tptp.the_inv_into_int_nat BOUND_VARIABLE_307118) BOUND_VARIABLE_307119) BOUND_VARIABLE_307121)) BOUND_VARIABLE_307120) (ll_3038 BOUND_VARIABLE_307118 BOUND_VARIABLE_307119 BOUND_VARIABLE_307120 BOUND_VARIABLE_307121))))) (let ((_let_16933 (forall ((BOUND_VARIABLE_307100 tptp.set_nat) (BOUND_VARIABLE_307101 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_307102 tptp.nat) (BOUND_VARIABLE_307103 tptp.rat)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_rat BOUND_VARIABLE_307103) (@ (@ tptp.image_nat_rat BOUND_VARIABLE_307101) BOUND_VARIABLE_307100))) (@ (@ (@ tptp.the_inv_into_nat_rat BOUND_VARIABLE_307100) BOUND_VARIABLE_307101) BOUND_VARIABLE_307103)) BOUND_VARIABLE_307102) (ll_3037 BOUND_VARIABLE_307100 BOUND_VARIABLE_307101 BOUND_VARIABLE_307102 BOUND_VARIABLE_307103))))) (let ((_let_16934 (forall ((BOUND_VARIABLE_307065 tptp.set_nat) (BOUND_VARIABLE_307066 tptp.nat) (BOUND_VARIABLE_307067 tptp.nat)) (= (ll_3036 BOUND_VARIABLE_307065 BOUND_VARIABLE_307066 BOUND_VARIABLE_307067) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_307067)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3943 BOUND_VARIABLE_307065) BOUND_VARIABLE_307066)) tptp.top_top_set_o))))))) (let ((_let_16935 (forall ((BOUND_VARIABLE_307046 (-> Bool tptp.rat)) (BOUND_VARIABLE_307047 tptp.set_o) (BOUND_VARIABLE_307048 Bool) (BOUND_VARIABLE_307049 tptp.rat)) (let ((_let_1 (@ (@ tptp.member_rat BOUND_VARIABLE_307049) (@ (@ tptp.image_o_rat BOUND_VARIABLE_307046) BOUND_VARIABLE_307047)))) (= (ll_3035 BOUND_VARIABLE_307046 BOUND_VARIABLE_307047 BOUND_VARIABLE_307048 BOUND_VARIABLE_307049) (and (or (not _let_1) (@ (@ (@ tptp.the_inv_into_o_rat BOUND_VARIABLE_307047) BOUND_VARIABLE_307046) BOUND_VARIABLE_307049)) (or _let_1 BOUND_VARIABLE_307048))))))) (let ((_let_16936 (forall ((BOUND_VARIABLE_307028 tptp.set_Product_unit) (BOUND_VARIABLE_307029 (-> tptp.product_unit tptp.rat)) (BOUND_VARIABLE_307030 tptp.product_unit) (BOUND_VARIABLE_307031 tptp.rat)) (= (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_rat BOUND_VARIABLE_307031) (@ (@ tptp.image_240439954468258464it_rat BOUND_VARIABLE_307029) BOUND_VARIABLE_307028))) (@ (@ (@ tptp.the_in3915408195775746418it_rat BOUND_VARIABLE_307028) BOUND_VARIABLE_307029) BOUND_VARIABLE_307031)) BOUND_VARIABLE_307030) (ll_3034 BOUND_VARIABLE_307028 BOUND_VARIABLE_307029 BOUND_VARIABLE_307030 BOUND_VARIABLE_307031))))) (let ((_let_16937 (forall ((BOUND_VARIABLE_307010 tptp.set_nat) (BOUND_VARIABLE_307011 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_307012 tptp.nat) (BOUND_VARIABLE_307013 tptp.char)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_char BOUND_VARIABLE_307013) (@ (@ tptp.image_nat_char BOUND_VARIABLE_307011) BOUND_VARIABLE_307010))) (@ (@ (@ tptp.the_in9023905271258939222t_char BOUND_VARIABLE_307010) BOUND_VARIABLE_307011) BOUND_VARIABLE_307013)) BOUND_VARIABLE_307012) (ll_3033 BOUND_VARIABLE_307010 BOUND_VARIABLE_307011 BOUND_VARIABLE_307012 BOUND_VARIABLE_307013))))) (let ((_let_16938 (forall ((BOUND_VARIABLE_306975 tptp.set_nat) (BOUND_VARIABLE_306976 tptp.nat) (BOUND_VARIABLE_306977 tptp.nat)) (= (ll_3032 BOUND_VARIABLE_306975 BOUND_VARIABLE_306976 BOUND_VARIABLE_306977) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306977)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3942 BOUND_VARIABLE_306975) BOUND_VARIABLE_306976)) tptp.top_top_set_o))))))) (let ((_let_16939 (forall ((BOUND_VARIABLE_306956 (-> Bool tptp.char)) (BOUND_VARIABLE_306957 tptp.set_o) (BOUND_VARIABLE_306958 Bool) (BOUND_VARIABLE_306959 tptp.char)) (let ((_let_1 (@ (@ tptp.member_char BOUND_VARIABLE_306959) (@ (@ tptp.image_o_char BOUND_VARIABLE_306956) BOUND_VARIABLE_306957)))) (= (ll_3031 BOUND_VARIABLE_306956 BOUND_VARIABLE_306957 BOUND_VARIABLE_306958 BOUND_VARIABLE_306959) (and (or (not _let_1) (@ (@ (@ tptp.the_inv_into_o_char BOUND_VARIABLE_306957) BOUND_VARIABLE_306956) BOUND_VARIABLE_306959)) (or _let_1 BOUND_VARIABLE_306958))))))) (let ((_let_16940 (forall ((BOUND_VARIABLE_306938 tptp.set_Product_unit) (BOUND_VARIABLE_306939 (-> tptp.product_unit tptp.char)) (BOUND_VARIABLE_306940 tptp.product_unit) (BOUND_VARIABLE_306941 tptp.char)) (= (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_char BOUND_VARIABLE_306941) (@ (@ tptp.image_7248553556944771225t_char BOUND_VARIABLE_306939) BOUND_VARIABLE_306938))) (@ (@ (@ tptp.the_in3194898024646563179t_char BOUND_VARIABLE_306938) BOUND_VARIABLE_306939) BOUND_VARIABLE_306941)) BOUND_VARIABLE_306940) (ll_3030 BOUND_VARIABLE_306938 BOUND_VARIABLE_306939 BOUND_VARIABLE_306940 BOUND_VARIABLE_306941))))) (let ((_let_16941 (forall ((BOUND_VARIABLE_306920 tptp.set_nat) (BOUND_VARIABLE_306921 (-> tptp.nat Bool)) (BOUND_VARIABLE_306922 tptp.nat) (BOUND_VARIABLE_306923 Bool)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o BOUND_VARIABLE_306923) (@ (@ tptp.image_nat_o BOUND_VARIABLE_306921) BOUND_VARIABLE_306920))) (@ (@ (@ tptp.the_inv_into_nat_o BOUND_VARIABLE_306920) BOUND_VARIABLE_306921) BOUND_VARIABLE_306923)) BOUND_VARIABLE_306922) (ll_3029 BOUND_VARIABLE_306920 BOUND_VARIABLE_306921 BOUND_VARIABLE_306922 BOUND_VARIABLE_306923))))) (let ((_let_16942 (forall ((BOUND_VARIABLE_306884 tptp.set_nat) (BOUND_VARIABLE_306885 tptp.nat) (BOUND_VARIABLE_306886 tptp.nat)) (= (ll_3028 BOUND_VARIABLE_306884 BOUND_VARIABLE_306885 BOUND_VARIABLE_306886) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306886)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3941 BOUND_VARIABLE_306884) BOUND_VARIABLE_306885)) tptp.top_top_set_o))))))) (let ((_let_16943 (forall ((BOUND_VARIABLE_306865 (-> Bool Bool)) (BOUND_VARIABLE_306866 tptp.set_o) (BOUND_VARIABLE_306867 Bool) (BOUND_VARIABLE_306868 Bool)) (let ((_let_1 (@ (@ tptp.member_o BOUND_VARIABLE_306868) (@ (@ tptp.image_o_o BOUND_VARIABLE_306865) BOUND_VARIABLE_306866)))) (= (ll_3027 BOUND_VARIABLE_306865 BOUND_VARIABLE_306866 BOUND_VARIABLE_306867 BOUND_VARIABLE_306868) (and (or (not _let_1) (@ (@ (@ tptp.the_inv_into_o_o BOUND_VARIABLE_306866) BOUND_VARIABLE_306865) BOUND_VARIABLE_306868)) (or _let_1 BOUND_VARIABLE_306867))))))) (let ((_let_16944 (forall ((BOUND_VARIABLE_306847 tptp.set_Product_unit) (BOUND_VARIABLE_306848 (-> tptp.product_unit Bool)) (BOUND_VARIABLE_306849 tptp.product_unit) (BOUND_VARIABLE_306850 Bool)) (= (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_o BOUND_VARIABLE_306850) (@ (@ tptp.image_Product_unit_o BOUND_VARIABLE_306848) BOUND_VARIABLE_306847))) (@ (@ (@ tptp.the_in43325605794470270unit_o BOUND_VARIABLE_306847) BOUND_VARIABLE_306848) BOUND_VARIABLE_306850)) BOUND_VARIABLE_306849) (ll_3026 BOUND_VARIABLE_306847 BOUND_VARIABLE_306848 BOUND_VARIABLE_306849 BOUND_VARIABLE_306850))))) (let ((_let_16945 (forall ((BOUND_VARIABLE_306802 tptp.nat) (BOUND_VARIABLE_306803 tptp.nat) (BOUND_VARIABLE_306804 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_306805 tptp.nat)) (= (ll_3025 BOUND_VARIABLE_306802 BOUND_VARIABLE_306803 BOUND_VARIABLE_306804 BOUND_VARIABLE_306805) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306805)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3940 BOUND_VARIABLE_306802) BOUND_VARIABLE_306803) BOUND_VARIABLE_306804)) tptp.top_top_set_o))))))) (let ((_let_16946 (forall ((BOUND_VARIABLE_306757 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_306758 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_306759 tptp.set_Pr5564308138774400199at_nat) (BOUND_VARIABLE_306760 tptp.produc3843707927480180839at_nat)) (= (ll_3024 BOUND_VARIABLE_306757 BOUND_VARIABLE_306758 BOUND_VARIABLE_306759 BOUND_VARIABLE_306760) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_306760)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3939 BOUND_VARIABLE_306757) BOUND_VARIABLE_306758) BOUND_VARIABLE_306759)) tptp.top_top_set_o))))))) (let ((_let_16947 (forall ((BOUND_VARIABLE_306741 tptp.produc859450856879609959at_nat) (BOUND_VARIABLE_306742 tptp.produc859450856879609959at_nat) (BOUND_VARIABLE_306743 tptp.set_Pr553994874890374343at_nat) (BOUND_VARIABLE_306744 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_306744) (@ (@ tptp.insert5050368324300391991at_nat BOUND_VARIABLE_306741) (@ (@ tptp.insert5050368324300391991at_nat BOUND_VARIABLE_306742) tptp.bot_bo5327735625951526323at_nat))) (@ tptp.field_3044959742847878580at_nat BOUND_VARIABLE_306743)) (ll_3023 BOUND_VARIABLE_306741 BOUND_VARIABLE_306742 BOUND_VARIABLE_306743 BOUND_VARIABLE_306744))))) (let ((_let_16948 (forall ((BOUND_VARIABLE_306723 tptp.set_nat) (BOUND_VARIABLE_306724 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306725 tptp.nat) (BOUND_VARIABLE_306726 tptp.int)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_int BOUND_VARIABLE_306726) (@ (@ tptp.image_nat_int BOUND_VARIABLE_306724) BOUND_VARIABLE_306723))) (@ (@ (@ tptp.the_inv_into_nat_int BOUND_VARIABLE_306723) BOUND_VARIABLE_306724) BOUND_VARIABLE_306726)) BOUND_VARIABLE_306725) (ll_3022 BOUND_VARIABLE_306723 BOUND_VARIABLE_306724 BOUND_VARIABLE_306725 BOUND_VARIABLE_306726))))) (let ((_let_16949 (forall ((BOUND_VARIABLE_306705 tptp.set_nat) (BOUND_VARIABLE_306706 (-> tptp.nat Bool)) (BOUND_VARIABLE_306707 tptp.nat) (BOUND_VARIABLE_306708 Bool)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o BOUND_VARIABLE_306708) (@ (@ tptp.image_nat_o BOUND_VARIABLE_306706) BOUND_VARIABLE_306705))) (@ (@ (@ tptp.the_inv_into_nat_o BOUND_VARIABLE_306705) BOUND_VARIABLE_306706) BOUND_VARIABLE_306708)) BOUND_VARIABLE_306707) (ll_3021 BOUND_VARIABLE_306705 BOUND_VARIABLE_306706 BOUND_VARIABLE_306707 BOUND_VARIABLE_306708))))) (let ((_let_16950 (forall ((BOUND_VARIABLE_306687 tptp.set_nat) (BOUND_VARIABLE_306688 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306689 tptp.nat) (BOUND_VARIABLE_306690 tptp.rat)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_rat BOUND_VARIABLE_306690) (@ (@ tptp.image_nat_rat BOUND_VARIABLE_306688) BOUND_VARIABLE_306687))) (@ (@ (@ tptp.the_inv_into_nat_rat BOUND_VARIABLE_306687) BOUND_VARIABLE_306688) BOUND_VARIABLE_306690)) BOUND_VARIABLE_306689) (ll_3020 BOUND_VARIABLE_306687 BOUND_VARIABLE_306688 BOUND_VARIABLE_306689 BOUND_VARIABLE_306690))))) (let ((_let_16951 (forall ((BOUND_VARIABLE_306668 (-> Bool tptp.int)) (BOUND_VARIABLE_306669 tptp.set_o) (BOUND_VARIABLE_306670 Bool) (BOUND_VARIABLE_306671 tptp.int)) (let ((_let_1 (@ (@ tptp.member_int BOUND_VARIABLE_306671) (@ (@ tptp.image_o_int BOUND_VARIABLE_306668) BOUND_VARIABLE_306669)))) (= (ll_3019 BOUND_VARIABLE_306668 BOUND_VARIABLE_306669 BOUND_VARIABLE_306670 BOUND_VARIABLE_306671) (and (or (not _let_1) (@ (@ (@ tptp.the_inv_into_o_int BOUND_VARIABLE_306669) BOUND_VARIABLE_306668) BOUND_VARIABLE_306671)) (or _let_1 BOUND_VARIABLE_306670))))))) (let ((_let_16952 (forall ((BOUND_VARIABLE_306649 (-> Bool tptp.nat)) (BOUND_VARIABLE_306650 tptp.set_o) (BOUND_VARIABLE_306651 Bool) (BOUND_VARIABLE_306652 tptp.nat)) (let ((_let_1 (@ (@ tptp.member_nat BOUND_VARIABLE_306652) (@ (@ tptp.image_o_nat BOUND_VARIABLE_306649) BOUND_VARIABLE_306650)))) (= (ll_3018 BOUND_VARIABLE_306649 BOUND_VARIABLE_306650 BOUND_VARIABLE_306651 BOUND_VARIABLE_306652) (and (or (not _let_1) (@ (@ (@ tptp.the_inv_into_o_nat BOUND_VARIABLE_306650) BOUND_VARIABLE_306649) BOUND_VARIABLE_306652)) (or _let_1 BOUND_VARIABLE_306651))))))) (let ((_let_16953 (forall ((BOUND_VARIABLE_306630 (-> Bool Bool)) (BOUND_VARIABLE_306631 tptp.set_o) (BOUND_VARIABLE_306632 Bool) (BOUND_VARIABLE_306633 Bool)) (let ((_let_1 (@ (@ tptp.member_o BOUND_VARIABLE_306633) (@ (@ tptp.image_o_o BOUND_VARIABLE_306630) BOUND_VARIABLE_306631)))) (= (ll_3017 BOUND_VARIABLE_306630 BOUND_VARIABLE_306631 BOUND_VARIABLE_306632 BOUND_VARIABLE_306633) (and (or (not _let_1) (@ (@ (@ tptp.the_inv_into_o_o BOUND_VARIABLE_306631) BOUND_VARIABLE_306630) BOUND_VARIABLE_306633)) (or _let_1 BOUND_VARIABLE_306632))))))) (let ((_let_16954 (forall ((BOUND_VARIABLE_306612 tptp.set_num) (BOUND_VARIABLE_306613 (-> tptp.num tptp.int)) (BOUND_VARIABLE_306614 tptp.num) (BOUND_VARIABLE_306615 tptp.int)) (= (@ (@ (@ tptp.if_num (@ (@ tptp.member_int BOUND_VARIABLE_306615) (@ (@ tptp.image_num_int BOUND_VARIABLE_306613) BOUND_VARIABLE_306612))) (@ (@ (@ tptp.the_inv_into_num_int BOUND_VARIABLE_306612) BOUND_VARIABLE_306613) BOUND_VARIABLE_306615)) BOUND_VARIABLE_306614) (ll_3016 BOUND_VARIABLE_306612 BOUND_VARIABLE_306613 BOUND_VARIABLE_306614 BOUND_VARIABLE_306615))))) (let ((_let_16955 (forall ((BOUND_VARIABLE_306594 tptp.set_num) (BOUND_VARIABLE_306595 (-> tptp.num tptp.nat)) (BOUND_VARIABLE_306596 tptp.num) (BOUND_VARIABLE_306597 tptp.nat)) (= (@ (@ (@ tptp.if_num (@ (@ tptp.member_nat BOUND_VARIABLE_306597) (@ (@ tptp.image_num_nat BOUND_VARIABLE_306595) BOUND_VARIABLE_306594))) (@ (@ (@ tptp.the_inv_into_num_nat BOUND_VARIABLE_306594) BOUND_VARIABLE_306595) BOUND_VARIABLE_306597)) BOUND_VARIABLE_306596) (ll_3015 BOUND_VARIABLE_306594 BOUND_VARIABLE_306595 BOUND_VARIABLE_306596 BOUND_VARIABLE_306597))))) (let ((_let_16956 (forall ((BOUND_VARIABLE_306576 tptp.set_num) (BOUND_VARIABLE_306577 (-> tptp.num Bool)) (BOUND_VARIABLE_306578 tptp.num) (BOUND_VARIABLE_306579 Bool)) (= (@ (@ (@ tptp.if_num (@ (@ tptp.member_o BOUND_VARIABLE_306579) (@ (@ tptp.image_num_o BOUND_VARIABLE_306577) BOUND_VARIABLE_306576))) (@ (@ (@ tptp.the_inv_into_num_o BOUND_VARIABLE_306576) BOUND_VARIABLE_306577) BOUND_VARIABLE_306579)) BOUND_VARIABLE_306578) (ll_3014 BOUND_VARIABLE_306576 BOUND_VARIABLE_306577 BOUND_VARIABLE_306578 BOUND_VARIABLE_306579))))) (let ((_let_16957 (forall ((BOUND_VARIABLE_306565 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_306566 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_306567 tptp.nat)) (= (@ (@ tptp.produc4803288329813530246it_nat (@ BOUND_VARIABLE_306565 BOUND_VARIABLE_306567)) (@ BOUND_VARIABLE_306566 BOUND_VARIABLE_306567)) (ll_3013 BOUND_VARIABLE_306565 BOUND_VARIABLE_306566 BOUND_VARIABLE_306567))))) (let ((_let_16958 (forall ((BOUND_VARIABLE_306549 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_306550 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_306551 tptp.set_nat) (BOUND_VARIABLE_306552 tptp.product_unit)) (= (@ (@ tptp.image_nat_nat BOUND_VARIABLE_306549) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit BOUND_VARIABLE_306550) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_306552) tptp.bot_bo3957492148770167129t_unit))) BOUND_VARIABLE_306551)) (ll_3012 BOUND_VARIABLE_306549 BOUND_VARIABLE_306550 BOUND_VARIABLE_306551 BOUND_VARIABLE_306552))))) (let ((_let_16959 (forall ((BOUND_VARIABLE_306538 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_306539 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306540 tptp.nat)) (= (@ (@ tptp.produc4168158269727034510it_rat (@ BOUND_VARIABLE_306538 BOUND_VARIABLE_306540)) (@ BOUND_VARIABLE_306539 BOUND_VARIABLE_306540)) (ll_3011 BOUND_VARIABLE_306538 BOUND_VARIABLE_306539 BOUND_VARIABLE_306540))))) (let ((_let_16960 (forall ((BOUND_VARIABLE_306522 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306523 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_306524 tptp.set_nat) (BOUND_VARIABLE_306525 tptp.product_unit)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_306522) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit BOUND_VARIABLE_306523) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_306525) tptp.bot_bo3957492148770167129t_unit))) BOUND_VARIABLE_306524)) (ll_3010 BOUND_VARIABLE_306522 BOUND_VARIABLE_306523 BOUND_VARIABLE_306524 BOUND_VARIABLE_306525))))) (let ((_let_16961 (forall ((BOUND_VARIABLE_306511 (-> tptp.int tptp.int)) (BOUND_VARIABLE_306512 (-> tptp.int tptp.int)) (BOUND_VARIABLE_306513 tptp.int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_306511 BOUND_VARIABLE_306513)) (@ BOUND_VARIABLE_306512 BOUND_VARIABLE_306513)) (ll_3009 BOUND_VARIABLE_306511 BOUND_VARIABLE_306512 BOUND_VARIABLE_306513))))) (let ((_let_16962 (forall ((BOUND_VARIABLE_306456 (-> tptp.int tptp.int)) (BOUND_VARIABLE_306457 (-> tptp.int tptp.int)) (BOUND_VARIABLE_306458 tptp.set_int) (BOUND_VARIABLE_306459 tptp.product_prod_int_int)) (= (ll_3008 BOUND_VARIABLE_306456 BOUND_VARIABLE_306457 BOUND_VARIABLE_306458 BOUND_VARIABLE_306459) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_306459)) (@ (@ tptp.image_8635204845542730022nt_int (@ (@ (@ ll_3938 BOUND_VARIABLE_306456) BOUND_VARIABLE_306457) BOUND_VARIABLE_306458)) (@ (@ tptp.image_int_int BOUND_VARIABLE_306457) BOUND_VARIABLE_306458)))))))) (let ((_let_16963 (forall ((BOUND_VARIABLE_306445 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306446 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306447 tptp.nat)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_306445 BOUND_VARIABLE_306447)) (@ BOUND_VARIABLE_306446 BOUND_VARIABLE_306447)) (ll_3007 BOUND_VARIABLE_306445 BOUND_VARIABLE_306446 BOUND_VARIABLE_306447))))) (let ((_let_16964 (forall ((BOUND_VARIABLE_306390 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306391 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306392 tptp.set_nat) (BOUND_VARIABLE_306393 tptp.product_prod_int_int)) (= (ll_3006 BOUND_VARIABLE_306390 BOUND_VARIABLE_306391 BOUND_VARIABLE_306392 BOUND_VARIABLE_306393) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_306393)) (@ (@ tptp.image_8635204845542730022nt_int (@ (@ (@ ll_3937 BOUND_VARIABLE_306390) BOUND_VARIABLE_306391) BOUND_VARIABLE_306392)) (@ (@ tptp.image_nat_int BOUND_VARIABLE_306391) BOUND_VARIABLE_306392)))))))) (let ((_let_16965 (forall ((BOUND_VARIABLE_306379 (-> tptp.int tptp.int)) (BOUND_VARIABLE_306380 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_306381 tptp.int)) (= (@ (@ tptp.product_Pair_int_nat (@ BOUND_VARIABLE_306379 BOUND_VARIABLE_306381)) (@ BOUND_VARIABLE_306380 BOUND_VARIABLE_306381)) (ll_3005 BOUND_VARIABLE_306379 BOUND_VARIABLE_306380 BOUND_VARIABLE_306381))))) (let ((_let_16966 (forall ((BOUND_VARIABLE_306363 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_306364 (-> tptp.int tptp.int)) (BOUND_VARIABLE_306365 tptp.set_int) (BOUND_VARIABLE_306366 tptp.int)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_306363) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int BOUND_VARIABLE_306364) (@ (@ tptp.insert_int BOUND_VARIABLE_306366) tptp.bot_bot_set_int))) BOUND_VARIABLE_306365)) (ll_3004 BOUND_VARIABLE_306363 BOUND_VARIABLE_306364 BOUND_VARIABLE_306365 BOUND_VARIABLE_306366))))) (let ((_let_16967 (forall ((BOUND_VARIABLE_306352 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306353 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_306354 tptp.nat)) (= (@ (@ tptp.product_Pair_int_nat (@ BOUND_VARIABLE_306352 BOUND_VARIABLE_306354)) (@ BOUND_VARIABLE_306353 BOUND_VARIABLE_306354)) (ll_3003 BOUND_VARIABLE_306352 BOUND_VARIABLE_306353 BOUND_VARIABLE_306354))))) (let ((_let_16968 (forall ((BOUND_VARIABLE_306336 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_306337 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306338 tptp.set_nat) (BOUND_VARIABLE_306339 tptp.int)) (= (@ (@ tptp.image_nat_nat BOUND_VARIABLE_306336) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int BOUND_VARIABLE_306337) (@ (@ tptp.insert_int BOUND_VARIABLE_306339) tptp.bot_bot_set_int))) BOUND_VARIABLE_306338)) (ll_3002 BOUND_VARIABLE_306336 BOUND_VARIABLE_306337 BOUND_VARIABLE_306338 BOUND_VARIABLE_306339))))) (let ((_let_16969 (forall ((BOUND_VARIABLE_306325 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306326 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306327 tptp.nat)) (= (@ (@ tptp.product_Pair_int_rat (@ BOUND_VARIABLE_306325 BOUND_VARIABLE_306327)) (@ BOUND_VARIABLE_306326 BOUND_VARIABLE_306327)) (ll_3001 BOUND_VARIABLE_306325 BOUND_VARIABLE_306326 BOUND_VARIABLE_306327))))) (let ((_let_16970 (forall ((BOUND_VARIABLE_306309 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306310 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306311 tptp.set_nat) (BOUND_VARIABLE_306312 tptp.int)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_306309) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int BOUND_VARIABLE_306310) (@ (@ tptp.insert_int BOUND_VARIABLE_306312) tptp.bot_bot_set_int))) BOUND_VARIABLE_306311)) (ll_3000 BOUND_VARIABLE_306309 BOUND_VARIABLE_306310 BOUND_VARIABLE_306311 BOUND_VARIABLE_306312))))) (let ((_let_16971 (forall ((BOUND_VARIABLE_306298 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306299 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306300 tptp.nat)) (= (@ (@ tptp.product_Pair_rat_int (@ BOUND_VARIABLE_306298 BOUND_VARIABLE_306300)) (@ BOUND_VARIABLE_306299 BOUND_VARIABLE_306300)) (ll_2999 BOUND_VARIABLE_306298 BOUND_VARIABLE_306299 BOUND_VARIABLE_306300))))) (let ((_let_16972 (forall ((BOUND_VARIABLE_306282 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_306283 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306284 tptp.set_nat) (BOUND_VARIABLE_306285 tptp.rat)) (= (@ (@ tptp.image_nat_int BOUND_VARIABLE_306282) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat BOUND_VARIABLE_306283) (@ (@ tptp.insert_rat BOUND_VARIABLE_306285) tptp.bot_bot_set_rat))) BOUND_VARIABLE_306284)) (ll_2998 BOUND_VARIABLE_306282 BOUND_VARIABLE_306283 BOUND_VARIABLE_306284 BOUND_VARIABLE_306285))))) (let ((_let_16973 (forall ((BOUND_VARIABLE_306271 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306272 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_306273 tptp.nat)) (= (@ (@ tptp.product_Pair_rat_nat (@ BOUND_VARIABLE_306271 BOUND_VARIABLE_306273)) (@ BOUND_VARIABLE_306272 BOUND_VARIABLE_306273)) (ll_2997 BOUND_VARIABLE_306271 BOUND_VARIABLE_306272 BOUND_VARIABLE_306273))))) (let ((_let_16974 (forall ((BOUND_VARIABLE_306255 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_306256 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306257 tptp.set_nat) (BOUND_VARIABLE_306258 tptp.rat)) (= (@ (@ tptp.image_nat_nat BOUND_VARIABLE_306255) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat BOUND_VARIABLE_306256) (@ (@ tptp.insert_rat BOUND_VARIABLE_306258) tptp.bot_bot_set_rat))) BOUND_VARIABLE_306257)) (ll_2996 BOUND_VARIABLE_306255 BOUND_VARIABLE_306256 BOUND_VARIABLE_306257 BOUND_VARIABLE_306258))))) (let ((_let_16975 (forall ((BOUND_VARIABLE_306244 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306245 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306246 tptp.nat)) (= (@ (@ tptp.product_Pair_rat_rat (@ BOUND_VARIABLE_306244 BOUND_VARIABLE_306246)) (@ BOUND_VARIABLE_306245 BOUND_VARIABLE_306246)) (ll_2995 BOUND_VARIABLE_306244 BOUND_VARIABLE_306245 BOUND_VARIABLE_306246))))) (let ((_let_16976 (forall ((BOUND_VARIABLE_306228 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306229 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_306230 tptp.set_nat) (BOUND_VARIABLE_306231 tptp.rat)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_306228) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat BOUND_VARIABLE_306229) (@ (@ tptp.insert_rat BOUND_VARIABLE_306231) tptp.bot_bot_set_rat))) BOUND_VARIABLE_306230)) (ll_2994 BOUND_VARIABLE_306228 BOUND_VARIABLE_306229 BOUND_VARIABLE_306230 BOUND_VARIABLE_306231))))) (let ((_let_16977 (forall ((BOUND_VARIABLE_306210 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_306211 tptp.product_unit) (BOUND_VARIABLE_306212 tptp.set_nat) (BOUND_VARIABLE_306213 tptp.set_Product_unit) (BOUND_VARIABLE_306214 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306214)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ (@ tptp.fun_up4569834200710200790et_nat BOUND_VARIABLE_306210) BOUND_VARIABLE_306211) BOUND_VARIABLE_306212)) BOUND_VARIABLE_306213))) (ll_2993 BOUND_VARIABLE_306210 BOUND_VARIABLE_306211 BOUND_VARIABLE_306212 BOUND_VARIABLE_306213 BOUND_VARIABLE_306214))))) (let ((_let_16978 (forall ((BOUND_VARIABLE_306142 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_306143 tptp.product_unit) (BOUND_VARIABLE_306144 tptp.set_Product_unit) (BOUND_VARIABLE_306145 tptp.set_nat) (BOUND_VARIABLE_306146 tptp.nat)) (= (ll_2992 BOUND_VARIABLE_306142 BOUND_VARIABLE_306143 BOUND_VARIABLE_306144 BOUND_VARIABLE_306145 BOUND_VARIABLE_306146) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306146)) (@ (@ tptp.image_o_set_nat (@ (@ (@ (@ ll_3936 BOUND_VARIABLE_306142) BOUND_VARIABLE_306143) BOUND_VARIABLE_306144) BOUND_VARIABLE_306145)) tptp.top_top_set_o))))))) (let ((_let_16979 (forall ((BOUND_VARIABLE_306124 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_306125 tptp.int) (BOUND_VARIABLE_306126 tptp.set_nat) (BOUND_VARIABLE_306127 tptp.set_int) (BOUND_VARIABLE_306128 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306128)) (@ (@ tptp.image_int_set_nat (@ (@ (@ tptp.fun_upd_int_set_nat BOUND_VARIABLE_306124) BOUND_VARIABLE_306125) BOUND_VARIABLE_306126)) BOUND_VARIABLE_306127))) (ll_2991 BOUND_VARIABLE_306124 BOUND_VARIABLE_306125 BOUND_VARIABLE_306126 BOUND_VARIABLE_306127 BOUND_VARIABLE_306128))))) (let ((_let_16980 (forall ((BOUND_VARIABLE_306056 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_306057 tptp.int) (BOUND_VARIABLE_306058 tptp.set_int) (BOUND_VARIABLE_306059 tptp.set_nat) (BOUND_VARIABLE_306060 tptp.nat)) (= (ll_2990 BOUND_VARIABLE_306056 BOUND_VARIABLE_306057 BOUND_VARIABLE_306058 BOUND_VARIABLE_306059 BOUND_VARIABLE_306060) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_306060)) (@ (@ tptp.image_o_set_nat (@ (@ (@ (@ ll_3935 BOUND_VARIABLE_306056) BOUND_VARIABLE_306057) BOUND_VARIABLE_306058) BOUND_VARIABLE_306059)) tptp.top_top_set_o))))))) (let ((_let_16981 (forall ((BOUND_VARIABLE_306038 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_306039 tptp.nat) (BOUND_VARIABLE_306040 tptp.set_o) (BOUND_VARIABLE_306041 tptp.set_nat) (BOUND_VARIABLE_306042 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_306042)) (@ (@ tptp.image_nat_set_o (@ (@ (@ tptp.fun_upd_nat_set_o BOUND_VARIABLE_306038) BOUND_VARIABLE_306039) BOUND_VARIABLE_306040)) BOUND_VARIABLE_306041))) (ll_2989 BOUND_VARIABLE_306038 BOUND_VARIABLE_306039 BOUND_VARIABLE_306040 BOUND_VARIABLE_306041 BOUND_VARIABLE_306042))))) (let ((_let_16982 (forall ((BOUND_VARIABLE_306013 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_306014 tptp.set_nat) (BOUND_VARIABLE_306015 tptp.nat) (BOUND_VARIABLE_306016 Bool)) (= (ll_2988 BOUND_VARIABLE_306013 BOUND_VARIABLE_306014 BOUND_VARIABLE_306015 BOUND_VARIABLE_306016) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_306016)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_306013) (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_306014) (@ (@ tptp.insert_nat BOUND_VARIABLE_306015) (@ tptp.collect_nat ll_1295)))))))))) (let ((_let_16983 (forall ((BOUND_VARIABLE_305995 (-> Bool tptp.set_o)) (BOUND_VARIABLE_305996 Bool) (BOUND_VARIABLE_305997 tptp.set_o) (BOUND_VARIABLE_305998 tptp.set_o) (BOUND_VARIABLE_305999 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_305999)) (@ (@ tptp.image_o_set_o (@ (@ (@ tptp.fun_upd_o_set_o BOUND_VARIABLE_305995) BOUND_VARIABLE_305996) BOUND_VARIABLE_305997)) BOUND_VARIABLE_305998))) (ll_2987 BOUND_VARIABLE_305995 BOUND_VARIABLE_305996 BOUND_VARIABLE_305997 BOUND_VARIABLE_305998 BOUND_VARIABLE_305999))))) (let ((_let_16984 (forall ((BOUND_VARIABLE_305977 (-> Bool tptp.set_o)) (BOUND_VARIABLE_305978 tptp.set_o) (BOUND_VARIABLE_305979 Bool) (BOUND_VARIABLE_305980 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_305980)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_305977) (@ (@ tptp.minus_minus_set_o BOUND_VARIABLE_305978) (@ (@ tptp.insert_o BOUND_VARIABLE_305979) tptp.bot_bot_set_o))))) (ll_2986 BOUND_VARIABLE_305977 BOUND_VARIABLE_305978 BOUND_VARIABLE_305979 BOUND_VARIABLE_305980))))) (let ((_let_16985 (forall ((BOUND_VARIABLE_305959 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_305960 tptp.product_unit) (BOUND_VARIABLE_305961 tptp.set_o) (BOUND_VARIABLE_305962 tptp.set_Product_unit) (BOUND_VARIABLE_305963 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_305963)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ (@ tptp.fun_up1762901246852280360_set_o BOUND_VARIABLE_305959) BOUND_VARIABLE_305960) BOUND_VARIABLE_305961)) BOUND_VARIABLE_305962))) (ll_2985 BOUND_VARIABLE_305959 BOUND_VARIABLE_305960 BOUND_VARIABLE_305961 BOUND_VARIABLE_305962 BOUND_VARIABLE_305963))))) (let ((_let_16986 (forall ((BOUND_VARIABLE_305941 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_305942 tptp.set_Product_unit) (BOUND_VARIABLE_305943 tptp.product_unit) (BOUND_VARIABLE_305944 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_305944)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_305941) (@ (@ tptp.minus_6452836326544984404t_unit BOUND_VARIABLE_305942) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_305943) tptp.bot_bo3957492148770167129t_unit))))) (ll_2984 BOUND_VARIABLE_305941 BOUND_VARIABLE_305942 BOUND_VARIABLE_305943 BOUND_VARIABLE_305944))))) (let ((_let_16987 (forall ((BOUND_VARIABLE_305923 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_305924 tptp.int) (BOUND_VARIABLE_305925 tptp.set_o) (BOUND_VARIABLE_305926 tptp.set_int) (BOUND_VARIABLE_305927 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_305927)) (@ (@ tptp.image_int_set_o (@ (@ (@ tptp.fun_upd_int_set_o BOUND_VARIABLE_305923) BOUND_VARIABLE_305924) BOUND_VARIABLE_305925)) BOUND_VARIABLE_305926))) (ll_2983 BOUND_VARIABLE_305923 BOUND_VARIABLE_305924 BOUND_VARIABLE_305925 BOUND_VARIABLE_305926 BOUND_VARIABLE_305927))))) (let ((_let_16988 (forall ((BOUND_VARIABLE_305905 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_305906 tptp.set_int) (BOUND_VARIABLE_305907 tptp.int) (BOUND_VARIABLE_305908 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_305908)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_305905) (@ (@ tptp.minus_minus_set_int BOUND_VARIABLE_305906) (@ (@ tptp.insert_int BOUND_VARIABLE_305907) tptp.bot_bot_set_int))))) (ll_2982 BOUND_VARIABLE_305905 BOUND_VARIABLE_305906 BOUND_VARIABLE_305907 BOUND_VARIABLE_305908))))) (let ((_let_16989 (forall ((BOUND_VARIABLE_305880 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_305881 tptp.nat) (BOUND_VARIABLE_305882 tptp.nat) (BOUND_VARIABLE_305883 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305880 BOUND_VARIABLE_305881)))) (= (ll_2981 BOUND_VARIABLE_305880 BOUND_VARIABLE_305881 BOUND_VARIABLE_305882 BOUND_VARIABLE_305883) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305883)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305882) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16990 (forall ((BOUND_VARIABLE_305853 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_305854 tptp.set_nat) (BOUND_VARIABLE_305855 tptp.nat) (BOUND_VARIABLE_305856 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int BOUND_VARIABLE_305853) BOUND_VARIABLE_305854))))) (= (ll_2980 BOUND_VARIABLE_305853 BOUND_VARIABLE_305854 BOUND_VARIABLE_305855 BOUND_VARIABLE_305856) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305856)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305855) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16991 (forall ((BOUND_VARIABLE_305828 (-> Bool tptp.int)) (BOUND_VARIABLE_305829 Bool) (BOUND_VARIABLE_305830 tptp.nat) (BOUND_VARIABLE_305831 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305828 BOUND_VARIABLE_305829)))) (= (ll_2979 BOUND_VARIABLE_305828 BOUND_VARIABLE_305829 BOUND_VARIABLE_305830 BOUND_VARIABLE_305831) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305831)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305830) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16992 (forall ((BOUND_VARIABLE_305801 (-> Bool tptp.int)) (BOUND_VARIABLE_305802 tptp.set_o) (BOUND_VARIABLE_305803 tptp.nat) (BOUND_VARIABLE_305804 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_305801) BOUND_VARIABLE_305802))))) (= (ll_2978 BOUND_VARIABLE_305801 BOUND_VARIABLE_305802 BOUND_VARIABLE_305803 BOUND_VARIABLE_305804) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305804)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305803) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16993 (forall ((BOUND_VARIABLE_305776 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_305777 tptp.product_unit) (BOUND_VARIABLE_305778 tptp.nat) (BOUND_VARIABLE_305779 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305776 BOUND_VARIABLE_305777)))) (= (ll_2977 BOUND_VARIABLE_305776 BOUND_VARIABLE_305777 BOUND_VARIABLE_305778 BOUND_VARIABLE_305779) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305779)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305778) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16994 (forall ((BOUND_VARIABLE_305749 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_305750 tptp.set_Product_unit) (BOUND_VARIABLE_305751 tptp.nat) (BOUND_VARIABLE_305752 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_305749) BOUND_VARIABLE_305750))))) (= (ll_2976 BOUND_VARIABLE_305749 BOUND_VARIABLE_305750 BOUND_VARIABLE_305751 BOUND_VARIABLE_305752) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305752)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305751) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16995 (forall ((BOUND_VARIABLE_305724 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305725 tptp.int) (BOUND_VARIABLE_305726 tptp.nat) (BOUND_VARIABLE_305727 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305724 BOUND_VARIABLE_305725)))) (= (ll_2975 BOUND_VARIABLE_305724 BOUND_VARIABLE_305725 BOUND_VARIABLE_305726 BOUND_VARIABLE_305727) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305727)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305726) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16996 (forall ((BOUND_VARIABLE_305697 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305698 tptp.set_int) (BOUND_VARIABLE_305699 tptp.nat) (BOUND_VARIABLE_305700 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_305697) BOUND_VARIABLE_305698))))) (= (ll_2974 BOUND_VARIABLE_305697 BOUND_VARIABLE_305698 BOUND_VARIABLE_305699 BOUND_VARIABLE_305700) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305700)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305699) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16997 (forall ((BOUND_VARIABLE_305672 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_305673 tptp.nat) (BOUND_VARIABLE_305674 tptp.nat) (BOUND_VARIABLE_305675 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305672 BOUND_VARIABLE_305673)))) (= (ll_2973 BOUND_VARIABLE_305672 BOUND_VARIABLE_305673 BOUND_VARIABLE_305674 BOUND_VARIABLE_305675) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305675)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305674) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_16998 (forall ((BOUND_VARIABLE_305637 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_305638 tptp.set_nat) (BOUND_VARIABLE_305639 tptp.nat) (BOUND_VARIABLE_305640 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_nat_int BOUND_VARIABLE_305637) BOUND_VARIABLE_305638))))))) (= (ll_2972 BOUND_VARIABLE_305637 BOUND_VARIABLE_305638 BOUND_VARIABLE_305639 BOUND_VARIABLE_305640) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_305640)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305639) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_16999 (forall ((BOUND_VARIABLE_305612 (-> Bool tptp.int)) (BOUND_VARIABLE_305613 Bool) (BOUND_VARIABLE_305614 tptp.nat) (BOUND_VARIABLE_305615 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305612 BOUND_VARIABLE_305613)))) (= (ll_2971 BOUND_VARIABLE_305612 BOUND_VARIABLE_305613 BOUND_VARIABLE_305614 BOUND_VARIABLE_305615) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305615)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305614) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17000 (forall ((BOUND_VARIABLE_305577 (-> Bool tptp.int)) (BOUND_VARIABLE_305578 tptp.set_o) (BOUND_VARIABLE_305579 tptp.nat) (BOUND_VARIABLE_305580 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_o_int BOUND_VARIABLE_305577) BOUND_VARIABLE_305578))))))) (= (ll_2970 BOUND_VARIABLE_305577 BOUND_VARIABLE_305578 BOUND_VARIABLE_305579 BOUND_VARIABLE_305580) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_305580)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305579) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17001 (forall ((BOUND_VARIABLE_305552 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_305553 tptp.product_unit) (BOUND_VARIABLE_305554 tptp.nat) (BOUND_VARIABLE_305555 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305552 BOUND_VARIABLE_305553)))) (= (ll_2969 BOUND_VARIABLE_305552 BOUND_VARIABLE_305553 BOUND_VARIABLE_305554 BOUND_VARIABLE_305555) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305555)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305554) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17002 (forall ((BOUND_VARIABLE_305517 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_305518 tptp.set_Product_unit) (BOUND_VARIABLE_305519 tptp.nat) (BOUND_VARIABLE_305520 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_305517) BOUND_VARIABLE_305518))))))) (= (ll_2968 BOUND_VARIABLE_305517 BOUND_VARIABLE_305518 BOUND_VARIABLE_305519 BOUND_VARIABLE_305520) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_305520)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305519) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17003 (forall ((BOUND_VARIABLE_305492 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305493 tptp.int) (BOUND_VARIABLE_305494 tptp.nat) (BOUND_VARIABLE_305495 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305492 BOUND_VARIABLE_305493)))) (= (ll_2967 BOUND_VARIABLE_305492 BOUND_VARIABLE_305493 BOUND_VARIABLE_305494 BOUND_VARIABLE_305495) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305495)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305494) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17004 (forall ((BOUND_VARIABLE_305457 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305458 tptp.set_int) (BOUND_VARIABLE_305459 tptp.nat) (BOUND_VARIABLE_305460 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_305457) BOUND_VARIABLE_305458))))))) (= (ll_2966 BOUND_VARIABLE_305457 BOUND_VARIABLE_305458 BOUND_VARIABLE_305459 BOUND_VARIABLE_305460) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_305460)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305459) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17005 (forall ((BOUND_VARIABLE_305444 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_305445 tptp.set_nat) (BOUND_VARIABLE_305446 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305446)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_305444) BOUND_VARIABLE_305445))) (ll_2965 BOUND_VARIABLE_305444 BOUND_VARIABLE_305445 BOUND_VARIABLE_305446))))) (let ((_let_17006 (forall ((BOUND_VARIABLE_305409 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_305410 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_305411 tptp.set_nat) (BOUND_VARIABLE_305412 tptp.int)) (= (ll_2964 BOUND_VARIABLE_305409 BOUND_VARIABLE_305410 BOUND_VARIABLE_305411 BOUND_VARIABLE_305412) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305412)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3934 BOUND_VARIABLE_305409) BOUND_VARIABLE_305410)) BOUND_VARIABLE_305411))))))) (let ((_let_17007 (forall ((BOUND_VARIABLE_305399 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_305400 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_305401 tptp.nat)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_305399) (@ BOUND_VARIABLE_305400 BOUND_VARIABLE_305401)) (ll_2963 BOUND_VARIABLE_305399 BOUND_VARIABLE_305400 BOUND_VARIABLE_305401))))) (let ((_let_17008 (forall ((BOUND_VARIABLE_305386 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_305387 tptp.set_nat) (BOUND_VARIABLE_305388 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305388)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_305386) BOUND_VARIABLE_305387))) (ll_2962 BOUND_VARIABLE_305386 BOUND_VARIABLE_305387 BOUND_VARIABLE_305388))))) (let ((_let_17009 (forall ((BOUND_VARIABLE_305373 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_305374 tptp.set_o) (BOUND_VARIABLE_305375 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305375)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_305373) BOUND_VARIABLE_305374))) (ll_2961 BOUND_VARIABLE_305373 BOUND_VARIABLE_305374 BOUND_VARIABLE_305375))))) (let ((_let_17010 (forall ((BOUND_VARIABLE_305338 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_305339 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_305340 tptp.set_o) (BOUND_VARIABLE_305341 tptp.int)) (= (ll_2960 BOUND_VARIABLE_305338 BOUND_VARIABLE_305339 BOUND_VARIABLE_305340 BOUND_VARIABLE_305341) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305341)) (@ (@ tptp.image_o_set_int (@ (@ ll_3933 BOUND_VARIABLE_305338) BOUND_VARIABLE_305339)) BOUND_VARIABLE_305340))))))) (let ((_let_17011 (forall ((BOUND_VARIABLE_305328 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_305329 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_305330 Bool)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_305328) (@ BOUND_VARIABLE_305329 BOUND_VARIABLE_305330)) (ll_2959 BOUND_VARIABLE_305328 BOUND_VARIABLE_305329 BOUND_VARIABLE_305330))))) (let ((_let_17012 (forall ((BOUND_VARIABLE_305315 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_305316 tptp.set_o) (BOUND_VARIABLE_305317 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305317)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_305315) BOUND_VARIABLE_305316))) (ll_2958 BOUND_VARIABLE_305315 BOUND_VARIABLE_305316 BOUND_VARIABLE_305317))))) (let ((_let_17013 (forall ((BOUND_VARIABLE_305302 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_305303 tptp.set_int) (BOUND_VARIABLE_305304 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305304)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_305302) BOUND_VARIABLE_305303))) (ll_2957 BOUND_VARIABLE_305302 BOUND_VARIABLE_305303 BOUND_VARIABLE_305304))))) (let ((_let_17014 (forall ((BOUND_VARIABLE_305267 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_305268 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_305269 tptp.set_int) (BOUND_VARIABLE_305270 tptp.nat)) (= (ll_2956 BOUND_VARIABLE_305267 BOUND_VARIABLE_305268 BOUND_VARIABLE_305269 BOUND_VARIABLE_305270) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305270)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3932 BOUND_VARIABLE_305267) BOUND_VARIABLE_305268)) BOUND_VARIABLE_305269))))))) (let ((_let_17015 (forall ((BOUND_VARIABLE_305254 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_305255 tptp.set_nat) (BOUND_VARIABLE_305256 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305256)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_305254) BOUND_VARIABLE_305255))) (ll_2955 BOUND_VARIABLE_305254 BOUND_VARIABLE_305255 BOUND_VARIABLE_305256))))) (let ((_let_17016 (forall ((BOUND_VARIABLE_305219 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_305220 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_305221 tptp.set_nat) (BOUND_VARIABLE_305222 tptp.nat)) (= (ll_2954 BOUND_VARIABLE_305219 BOUND_VARIABLE_305220 BOUND_VARIABLE_305221 BOUND_VARIABLE_305222) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305222)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3931 BOUND_VARIABLE_305219) BOUND_VARIABLE_305220)) BOUND_VARIABLE_305221))))))) (let ((_let_17017 (forall ((BOUND_VARIABLE_305206 (-> Bool tptp.set_int)) (BOUND_VARIABLE_305207 tptp.set_o) (BOUND_VARIABLE_305208 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305208)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_305206) BOUND_VARIABLE_305207))) (ll_2953 BOUND_VARIABLE_305206 BOUND_VARIABLE_305207 BOUND_VARIABLE_305208))))) (let ((_let_17018 (forall ((BOUND_VARIABLE_305171 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_305172 (-> Bool tptp.set_int)) (BOUND_VARIABLE_305173 tptp.set_o) (BOUND_VARIABLE_305174 tptp.nat)) (= (ll_2952 BOUND_VARIABLE_305171 BOUND_VARIABLE_305172 BOUND_VARIABLE_305173 BOUND_VARIABLE_305174) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_305174)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3930 BOUND_VARIABLE_305171) BOUND_VARIABLE_305172)) BOUND_VARIABLE_305173))))))) (let ((_let_17019 (forall ((BOUND_VARIABLE_305158 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_305159 tptp.set_int) (BOUND_VARIABLE_305160 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305160)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_305158) BOUND_VARIABLE_305159))) (ll_2951 BOUND_VARIABLE_305158 BOUND_VARIABLE_305159 BOUND_VARIABLE_305160))))) (let ((_let_17020 (forall ((BOUND_VARIABLE_305124 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305125 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_305126 tptp.set_int) (BOUND_VARIABLE_305127 tptp.int)) (= (ll_2950 BOUND_VARIABLE_305124 BOUND_VARIABLE_305125 BOUND_VARIABLE_305126 BOUND_VARIABLE_305127) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305127)) (@ (@ tptp.image_int_set_int (@ (@ ll_3929 BOUND_VARIABLE_305124) BOUND_VARIABLE_305125)) BOUND_VARIABLE_305126))))))) (let ((_let_17021 (forall ((BOUND_VARIABLE_305111 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_305112 tptp.set_nat) (BOUND_VARIABLE_305113 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305113)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_305111) BOUND_VARIABLE_305112))) (ll_2949 BOUND_VARIABLE_305111 BOUND_VARIABLE_305112 BOUND_VARIABLE_305113))))) (let ((_let_17022 (forall ((BOUND_VARIABLE_305077 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305078 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_305079 tptp.set_nat) (BOUND_VARIABLE_305080 tptp.int)) (= (ll_2948 BOUND_VARIABLE_305077 BOUND_VARIABLE_305078 BOUND_VARIABLE_305079 BOUND_VARIABLE_305080) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305080)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3928 BOUND_VARIABLE_305077) BOUND_VARIABLE_305078)) BOUND_VARIABLE_305079))))))) (let ((_let_17023 (forall ((BOUND_VARIABLE_305064 (-> Bool tptp.set_int)) (BOUND_VARIABLE_305065 tptp.set_o) (BOUND_VARIABLE_305066 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305066)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_305064) BOUND_VARIABLE_305065))) (ll_2947 BOUND_VARIABLE_305064 BOUND_VARIABLE_305065 BOUND_VARIABLE_305066))))) (let ((_let_17024 (forall ((BOUND_VARIABLE_305030 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305031 (-> Bool tptp.set_int)) (BOUND_VARIABLE_305032 tptp.set_o) (BOUND_VARIABLE_305033 tptp.int)) (= (ll_2946 BOUND_VARIABLE_305030 BOUND_VARIABLE_305031 BOUND_VARIABLE_305032 BOUND_VARIABLE_305033) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_305033)) (@ (@ tptp.image_o_set_int (@ (@ ll_3927 BOUND_VARIABLE_305030) BOUND_VARIABLE_305031)) BOUND_VARIABLE_305032))))))) (let ((_let_17025 (forall ((BOUND_VARIABLE_305005 (-> tptp.int tptp.int)) (BOUND_VARIABLE_305006 tptp.int) (BOUND_VARIABLE_305007 tptp.nat) (BOUND_VARIABLE_305008 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_305005 BOUND_VARIABLE_305006)))) (= (ll_2945 BOUND_VARIABLE_305005 BOUND_VARIABLE_305006 BOUND_VARIABLE_305007 BOUND_VARIABLE_305008) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_305008)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_305007) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17026 (forall ((BOUND_VARIABLE_304978 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304979 tptp.set_int) (BOUND_VARIABLE_304980 tptp.nat) (BOUND_VARIABLE_304981 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_304978) BOUND_VARIABLE_304979))))) (= (ll_2944 BOUND_VARIABLE_304978 BOUND_VARIABLE_304979 BOUND_VARIABLE_304980 BOUND_VARIABLE_304981) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304981)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304980) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17027 (forall ((BOUND_VARIABLE_304953 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304954 tptp.int) (BOUND_VARIABLE_304955 tptp.nat) (BOUND_VARIABLE_304956 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304953 BOUND_VARIABLE_304954)))) (= (ll_2943 BOUND_VARIABLE_304953 BOUND_VARIABLE_304954 BOUND_VARIABLE_304955 BOUND_VARIABLE_304956) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304956)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304955) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17028 (forall ((BOUND_VARIABLE_304926 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304927 tptp.set_int) (BOUND_VARIABLE_304928 tptp.nat) (BOUND_VARIABLE_304929 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_304926) BOUND_VARIABLE_304927))))) (= (ll_2942 BOUND_VARIABLE_304926 BOUND_VARIABLE_304927 BOUND_VARIABLE_304928 BOUND_VARIABLE_304929) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304929)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304928) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17029 (forall ((BOUND_VARIABLE_304901 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_304902 tptp.nat) (BOUND_VARIABLE_304903 tptp.nat) (BOUND_VARIABLE_304904 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304901 BOUND_VARIABLE_304902)))) (= (ll_2941 BOUND_VARIABLE_304901 BOUND_VARIABLE_304902 BOUND_VARIABLE_304903 BOUND_VARIABLE_304904) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304904)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304903) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17030 (forall ((BOUND_VARIABLE_304874 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_304875 tptp.set_nat) (BOUND_VARIABLE_304876 tptp.nat) (BOUND_VARIABLE_304877 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int BOUND_VARIABLE_304874) BOUND_VARIABLE_304875))))) (= (ll_2940 BOUND_VARIABLE_304874 BOUND_VARIABLE_304875 BOUND_VARIABLE_304876 BOUND_VARIABLE_304877) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304877)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304876) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17031 (forall ((BOUND_VARIABLE_304849 (-> Bool tptp.int)) (BOUND_VARIABLE_304850 Bool) (BOUND_VARIABLE_304851 tptp.nat) (BOUND_VARIABLE_304852 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304849 BOUND_VARIABLE_304850)))) (= (ll_2939 BOUND_VARIABLE_304849 BOUND_VARIABLE_304850 BOUND_VARIABLE_304851 BOUND_VARIABLE_304852) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304852)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304851) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17032 (forall ((BOUND_VARIABLE_304822 (-> Bool tptp.int)) (BOUND_VARIABLE_304823 tptp.set_o) (BOUND_VARIABLE_304824 tptp.nat) (BOUND_VARIABLE_304825 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_304822) BOUND_VARIABLE_304823))))) (= (ll_2938 BOUND_VARIABLE_304822 BOUND_VARIABLE_304823 BOUND_VARIABLE_304824 BOUND_VARIABLE_304825) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304825)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304824) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17033 (forall ((BOUND_VARIABLE_304797 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_304798 tptp.product_unit) (BOUND_VARIABLE_304799 tptp.nat) (BOUND_VARIABLE_304800 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304797 BOUND_VARIABLE_304798)))) (= (ll_2937 BOUND_VARIABLE_304797 BOUND_VARIABLE_304798 BOUND_VARIABLE_304799 BOUND_VARIABLE_304800) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304800)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304799) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17034 (forall ((BOUND_VARIABLE_304770 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_304771 tptp.set_Product_unit) (BOUND_VARIABLE_304772 tptp.nat) (BOUND_VARIABLE_304773 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_304770) BOUND_VARIABLE_304771))))) (= (ll_2936 BOUND_VARIABLE_304770 BOUND_VARIABLE_304771 BOUND_VARIABLE_304772 BOUND_VARIABLE_304773) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304773)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304772) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17035 (forall ((BOUND_VARIABLE_304745 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304746 tptp.int) (BOUND_VARIABLE_304747 tptp.nat) (BOUND_VARIABLE_304748 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304745 BOUND_VARIABLE_304746)))) (= (ll_2935 BOUND_VARIABLE_304745 BOUND_VARIABLE_304746 BOUND_VARIABLE_304747 BOUND_VARIABLE_304748) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304748)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304747) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17036 (forall ((BOUND_VARIABLE_304718 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304719 tptp.set_int) (BOUND_VARIABLE_304720 tptp.nat) (BOUND_VARIABLE_304721 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_304718) BOUND_VARIABLE_304719))))) (= (ll_2934 BOUND_VARIABLE_304718 BOUND_VARIABLE_304719 BOUND_VARIABLE_304720 BOUND_VARIABLE_304721) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304721)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304720) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17037 (forall ((BOUND_VARIABLE_304693 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304694 tptp.int) (BOUND_VARIABLE_304695 tptp.nat) (BOUND_VARIABLE_304696 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304693 BOUND_VARIABLE_304694)))) (= (ll_2933 BOUND_VARIABLE_304693 BOUND_VARIABLE_304694 BOUND_VARIABLE_304695 BOUND_VARIABLE_304696) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304696)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304695) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17038 (forall ((BOUND_VARIABLE_304658 (-> tptp.int tptp.int)) (BOUND_VARIABLE_304659 tptp.set_int) (BOUND_VARIABLE_304660 tptp.nat) (BOUND_VARIABLE_304661 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_304658) BOUND_VARIABLE_304659))))))) (= (ll_2932 BOUND_VARIABLE_304658 BOUND_VARIABLE_304659 BOUND_VARIABLE_304660 BOUND_VARIABLE_304661) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_304661)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304660) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17039 (forall ((BOUND_VARIABLE_304633 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_304634 tptp.nat) (BOUND_VARIABLE_304635 tptp.nat) (BOUND_VARIABLE_304636 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_304633 BOUND_VARIABLE_304634)))) (= (ll_2931 BOUND_VARIABLE_304633 BOUND_VARIABLE_304634 BOUND_VARIABLE_304635 BOUND_VARIABLE_304636) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304636)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304635) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17040 (forall ((BOUND_VARIABLE_304598 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_304599 tptp.set_nat) (BOUND_VARIABLE_304600 tptp.nat) (BOUND_VARIABLE_304601 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_nat_int BOUND_VARIABLE_304598) BOUND_VARIABLE_304599))))))) (= (ll_2930 BOUND_VARIABLE_304598 BOUND_VARIABLE_304599 BOUND_VARIABLE_304600 BOUND_VARIABLE_304601) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_304601)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304600) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17041 (forall ((BOUND_VARIABLE_304575 tptp.int) (BOUND_VARIABLE_304576 tptp.nat) (BOUND_VARIABLE_304577 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_304575))) (= (ll_2929 BOUND_VARIABLE_304575 BOUND_VARIABLE_304576 BOUND_VARIABLE_304577) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304577)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304576) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17042 (forall ((BOUND_VARIABLE_304552 tptp.int) (BOUND_VARIABLE_304553 tptp.nat) (BOUND_VARIABLE_304554 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_304552))) (= (ll_2928 BOUND_VARIABLE_304552 BOUND_VARIABLE_304553 BOUND_VARIABLE_304554) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304554)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304553) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17043 (forall ((BOUND_VARIABLE_304529 tptp.int) (BOUND_VARIABLE_304530 tptp.nat) (BOUND_VARIABLE_304531 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_304529))) (= (ll_2927 BOUND_VARIABLE_304529 BOUND_VARIABLE_304530 BOUND_VARIABLE_304531) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304531)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304530) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17044 (forall ((BOUND_VARIABLE_304506 tptp.int) (BOUND_VARIABLE_304507 tptp.nat) (BOUND_VARIABLE_304508 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_304506))) (= (ll_2926 BOUND_VARIABLE_304506 BOUND_VARIABLE_304507 BOUND_VARIABLE_304508) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_304508)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_304507) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17045 (forall ((BOUND_VARIABLE_304487 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_304488 tptp.nat)) (= (ll_2925 BOUND_VARIABLE_304487 BOUND_VARIABLE_304488) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304488)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_304487) (@ tptp.collect_nat ll_3926)))))))) (let ((_let_17046 (forall ((BOUND_VARIABLE_304474 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_304475 tptp.set_nat) (BOUND_VARIABLE_304476 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304476)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_304474) BOUND_VARIABLE_304475))) (ll_2924 BOUND_VARIABLE_304474 BOUND_VARIABLE_304475 BOUND_VARIABLE_304476))))) (let ((_let_17047 (forall ((BOUND_VARIABLE_304440 tptp.set_nat) (BOUND_VARIABLE_304441 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_304442 tptp.set_nat) (BOUND_VARIABLE_304443 tptp.nat)) (= (ll_2923 BOUND_VARIABLE_304440 BOUND_VARIABLE_304441 BOUND_VARIABLE_304442 BOUND_VARIABLE_304443) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304443)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3925 BOUND_VARIABLE_304440) BOUND_VARIABLE_304441)) BOUND_VARIABLE_304442))))))) (let ((_let_17048 (forall ((BOUND_VARIABLE_304428 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_304429 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304429)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_304428) tptp.bot_bot_set_o))) (ll_2922 BOUND_VARIABLE_304428 BOUND_VARIABLE_304429))))) (let ((_let_17049 (forall ((BOUND_VARIABLE_304415 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_304416 tptp.set_o) (BOUND_VARIABLE_304417 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304417)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_304415) BOUND_VARIABLE_304416))) (ll_2921 BOUND_VARIABLE_304415 BOUND_VARIABLE_304416 BOUND_VARIABLE_304417))))) (let ((_let_17050 (forall ((BOUND_VARIABLE_304381 tptp.set_nat) (BOUND_VARIABLE_304382 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_304383 tptp.set_o) (BOUND_VARIABLE_304384 tptp.nat)) (= (ll_2920 BOUND_VARIABLE_304381 BOUND_VARIABLE_304382 BOUND_VARIABLE_304383 BOUND_VARIABLE_304384) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304384)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3924 BOUND_VARIABLE_304381) BOUND_VARIABLE_304382)) BOUND_VARIABLE_304383))))))) (let ((_let_17051 (forall ((BOUND_VARIABLE_304364 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_304365 tptp.nat)) (= (ll_2919 BOUND_VARIABLE_304364 BOUND_VARIABLE_304365) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304365)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_304364) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17052 (forall ((BOUND_VARIABLE_304351 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_304352 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304353 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304353)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_304351) BOUND_VARIABLE_304352))) (ll_2918 BOUND_VARIABLE_304351 BOUND_VARIABLE_304352 BOUND_VARIABLE_304353))))) (let ((_let_17053 (forall ((BOUND_VARIABLE_304317 tptp.set_nat) (BOUND_VARIABLE_304318 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_304319 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304320 tptp.nat)) (= (ll_2917 BOUND_VARIABLE_304317 BOUND_VARIABLE_304318 BOUND_VARIABLE_304319 BOUND_VARIABLE_304320) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304320)) (@ (@ tptp.image_15824709712370754et_nat (@ (@ ll_3923 BOUND_VARIABLE_304317) BOUND_VARIABLE_304318)) BOUND_VARIABLE_304319))))))) (let ((_let_17054 (forall ((BOUND_VARIABLE_304300 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_304301 tptp.nat)) (= (ll_2916 BOUND_VARIABLE_304300 BOUND_VARIABLE_304301) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304301)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_304300) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_17055 (forall ((BOUND_VARIABLE_304287 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_304288 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_304289 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304289)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_304287) BOUND_VARIABLE_304288))) (ll_2915 BOUND_VARIABLE_304287 BOUND_VARIABLE_304288 BOUND_VARIABLE_304289))))) (let ((_let_17056 (forall ((BOUND_VARIABLE_304253 tptp.set_nat) (BOUND_VARIABLE_304254 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_304255 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_304256 tptp.nat)) (= (ll_2914 BOUND_VARIABLE_304253 BOUND_VARIABLE_304254 BOUND_VARIABLE_304255 BOUND_VARIABLE_304256) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304256)) (@ (@ tptp.image_3160451284896210088et_nat (@ (@ ll_3922 BOUND_VARIABLE_304253) BOUND_VARIABLE_304254)) BOUND_VARIABLE_304255))))))) (let ((_let_17057 (forall ((BOUND_VARIABLE_304241 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_304242 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304242)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_304241) tptp.bot_bo3957492148770167129t_unit))) (ll_2913 BOUND_VARIABLE_304241 BOUND_VARIABLE_304242))))) (let ((_let_17058 (forall ((BOUND_VARIABLE_304228 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_304229 tptp.set_Product_unit) (BOUND_VARIABLE_304230 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304230)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_304228) BOUND_VARIABLE_304229))) (ll_2912 BOUND_VARIABLE_304228 BOUND_VARIABLE_304229 BOUND_VARIABLE_304230))))) (let ((_let_17059 (forall ((BOUND_VARIABLE_304194 tptp.set_nat) (BOUND_VARIABLE_304195 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_304196 tptp.set_Product_unit) (BOUND_VARIABLE_304197 tptp.nat)) (= (ll_2911 BOUND_VARIABLE_304194 BOUND_VARIABLE_304195 BOUND_VARIABLE_304196 BOUND_VARIABLE_304197) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_304197)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3921 BOUND_VARIABLE_304194) BOUND_VARIABLE_304195)) BOUND_VARIABLE_304196))))))) (let ((_let_17060 (forall ((BOUND_VARIABLE_304177 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304178 tptp.product_prod_nat_nat)) (= (ll_2910 BOUND_VARIABLE_304177 BOUND_VARIABLE_304178) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304178)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_304177) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17061 (forall ((BOUND_VARIABLE_304164 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304165 tptp.set_nat) (BOUND_VARIABLE_304166 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304166)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_304164) BOUND_VARIABLE_304165))) (ll_2909 BOUND_VARIABLE_304164 BOUND_VARIABLE_304165 BOUND_VARIABLE_304166))))) (let ((_let_17062 (forall ((BOUND_VARIABLE_304130 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304131 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304132 tptp.set_nat) (BOUND_VARIABLE_304133 tptp.product_prod_nat_nat)) (= (ll_2908 BOUND_VARIABLE_304130 BOUND_VARIABLE_304131 BOUND_VARIABLE_304132 BOUND_VARIABLE_304133) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304133)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3920 BOUND_VARIABLE_304130) BOUND_VARIABLE_304131)) BOUND_VARIABLE_304132))))))) (let ((_let_17063 (forall ((BOUND_VARIABLE_304118 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304119 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304119)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_304118) tptp.bot_bot_set_o))) (ll_2907 BOUND_VARIABLE_304118 BOUND_VARIABLE_304119))))) (let ((_let_17064 (forall ((BOUND_VARIABLE_304105 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304106 tptp.set_o) (BOUND_VARIABLE_304107 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304107)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_304105) BOUND_VARIABLE_304106))) (ll_2906 BOUND_VARIABLE_304105 BOUND_VARIABLE_304106 BOUND_VARIABLE_304107))))) (let ((_let_17065 (forall ((BOUND_VARIABLE_304071 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304072 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304073 tptp.set_o) (BOUND_VARIABLE_304074 tptp.product_prod_nat_nat)) (= (ll_2905 BOUND_VARIABLE_304071 BOUND_VARIABLE_304072 BOUND_VARIABLE_304073 BOUND_VARIABLE_304074) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304074)) (@ (@ tptp.image_7077428525161401678at_nat (@ (@ ll_3919 BOUND_VARIABLE_304071) BOUND_VARIABLE_304072)) BOUND_VARIABLE_304073))))))) (let ((_let_17066 (forall ((BOUND_VARIABLE_304054 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304055 tptp.product_prod_nat_nat)) (= (ll_2904 BOUND_VARIABLE_304054 BOUND_VARIABLE_304055) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304055)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_304054) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17067 (forall ((BOUND_VARIABLE_304041 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304042 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304043 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304043)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_304041) BOUND_VARIABLE_304042))) (ll_2903 BOUND_VARIABLE_304041 BOUND_VARIABLE_304042 BOUND_VARIABLE_304043))))) (let ((_let_17068 (forall ((BOUND_VARIABLE_304006 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304007 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_304008 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_304009 tptp.product_prod_nat_nat)) (= (ll_2902 BOUND_VARIABLE_304006 BOUND_VARIABLE_304007 BOUND_VARIABLE_304008 BOUND_VARIABLE_304009) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_304009)) (@ (@ tptp.image_5423882813909314213at_nat (@ (@ ll_3918 BOUND_VARIABLE_304006) BOUND_VARIABLE_304007)) BOUND_VARIABLE_304008))))))) (let ((_let_17069 (forall ((BOUND_VARIABLE_303989 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303990 tptp.product_prod_nat_nat)) (= (ll_2901 BOUND_VARIABLE_303989 BOUND_VARIABLE_303990) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303990)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_303989) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_17070 (forall ((BOUND_VARIABLE_303976 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303977 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303978 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303978)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_303976) BOUND_VARIABLE_303977))) (ll_2900 BOUND_VARIABLE_303976 BOUND_VARIABLE_303977 BOUND_VARIABLE_303978))))) (let ((_let_17071 (forall ((BOUND_VARIABLE_303941 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303942 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303943 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303944 tptp.product_prod_nat_nat)) (= (ll_2899 BOUND_VARIABLE_303941 BOUND_VARIABLE_303942 BOUND_VARIABLE_303943 BOUND_VARIABLE_303944) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303944)) (@ (@ tptp.image_7979982168039674559at_nat (@ (@ ll_3917 BOUND_VARIABLE_303941) BOUND_VARIABLE_303942)) BOUND_VARIABLE_303943))))))) (let ((_let_17072 (forall ((BOUND_VARIABLE_303929 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303930 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303930)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_303929) tptp.bot_bo3957492148770167129t_unit))) (ll_2898 BOUND_VARIABLE_303929 BOUND_VARIABLE_303930))))) (let ((_let_17073 (forall ((BOUND_VARIABLE_303916 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303917 tptp.set_Product_unit) (BOUND_VARIABLE_303918 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303918)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_303916) BOUND_VARIABLE_303917))) (ll_2897 BOUND_VARIABLE_303916 BOUND_VARIABLE_303917 BOUND_VARIABLE_303918))))) (let ((_let_17074 (forall ((BOUND_VARIABLE_303882 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303883 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303884 tptp.set_Product_unit) (BOUND_VARIABLE_303885 tptp.product_prod_nat_nat)) (= (ll_2896 BOUND_VARIABLE_303882 BOUND_VARIABLE_303883 BOUND_VARIABLE_303884 BOUND_VARIABLE_303885) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303885)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3916 BOUND_VARIABLE_303882) BOUND_VARIABLE_303883)) BOUND_VARIABLE_303884))))))) (let ((_let_17075 (forall ((BOUND_VARIABLE_303863 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_303864 tptp.nat)) (= (ll_2895 BOUND_VARIABLE_303863 BOUND_VARIABLE_303864) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303864)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_303863) (@ tptp.collect_nat ll_3915)))))))) (let ((_let_17076 (forall ((BOUND_VARIABLE_303850 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_303851 tptp.set_nat) (BOUND_VARIABLE_303852 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303852)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_303850) BOUND_VARIABLE_303851))) (ll_2894 BOUND_VARIABLE_303850 BOUND_VARIABLE_303851 BOUND_VARIABLE_303852))))) (let ((_let_17077 (forall ((BOUND_VARIABLE_303816 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_303817 tptp.set_nat) (BOUND_VARIABLE_303818 tptp.set_nat) (BOUND_VARIABLE_303819 tptp.nat)) (= (ll_2893 BOUND_VARIABLE_303816 BOUND_VARIABLE_303817 BOUND_VARIABLE_303818 BOUND_VARIABLE_303819) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303819)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3914 BOUND_VARIABLE_303816) BOUND_VARIABLE_303817)) BOUND_VARIABLE_303818))))))) (let ((_let_17078 (forall ((BOUND_VARIABLE_303804 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_303805 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303805)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_303804) tptp.bot_bot_set_o))) (ll_2892 BOUND_VARIABLE_303804 BOUND_VARIABLE_303805))))) (let ((_let_17079 (forall ((BOUND_VARIABLE_303791 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_303792 tptp.set_o) (BOUND_VARIABLE_303793 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303793)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_303791) BOUND_VARIABLE_303792))) (ll_2891 BOUND_VARIABLE_303791 BOUND_VARIABLE_303792 BOUND_VARIABLE_303793))))) (let ((_let_17080 (forall ((BOUND_VARIABLE_303757 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_303758 tptp.set_nat) (BOUND_VARIABLE_303759 tptp.set_o) (BOUND_VARIABLE_303760 tptp.nat)) (= (ll_2890 BOUND_VARIABLE_303757 BOUND_VARIABLE_303758 BOUND_VARIABLE_303759 BOUND_VARIABLE_303760) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303760)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3913 BOUND_VARIABLE_303757) BOUND_VARIABLE_303758)) BOUND_VARIABLE_303759))))))) (let ((_let_17081 (forall ((BOUND_VARIABLE_303740 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_303741 tptp.nat)) (= (ll_2889 BOUND_VARIABLE_303740 BOUND_VARIABLE_303741) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303741)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_303740) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17082 (forall ((BOUND_VARIABLE_303727 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_303728 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303729 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303729)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_303727) BOUND_VARIABLE_303728))) (ll_2888 BOUND_VARIABLE_303727 BOUND_VARIABLE_303728 BOUND_VARIABLE_303729))))) (let ((_let_17083 (forall ((BOUND_VARIABLE_303693 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_303694 tptp.set_nat) (BOUND_VARIABLE_303695 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303696 tptp.nat)) (= (ll_2887 BOUND_VARIABLE_303693 BOUND_VARIABLE_303694 BOUND_VARIABLE_303695 BOUND_VARIABLE_303696) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303696)) (@ (@ tptp.image_15824709712370754et_nat (@ (@ ll_3912 BOUND_VARIABLE_303693) BOUND_VARIABLE_303694)) BOUND_VARIABLE_303695))))))) (let ((_let_17084 (forall ((BOUND_VARIABLE_303676 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_303677 tptp.nat)) (= (ll_2886 BOUND_VARIABLE_303676 BOUND_VARIABLE_303677) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303677)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_303676) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_17085 (forall ((BOUND_VARIABLE_303663 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_303664 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303665 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303665)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_303663) BOUND_VARIABLE_303664))) (ll_2885 BOUND_VARIABLE_303663 BOUND_VARIABLE_303664 BOUND_VARIABLE_303665))))) (let ((_let_17086 (forall ((BOUND_VARIABLE_303628 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_303629 tptp.set_nat) (BOUND_VARIABLE_303630 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303631 tptp.nat)) (= (ll_2884 BOUND_VARIABLE_303628 BOUND_VARIABLE_303629 BOUND_VARIABLE_303630 BOUND_VARIABLE_303631) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303631)) (@ (@ tptp.image_3160451284896210088et_nat (@ (@ ll_3911 BOUND_VARIABLE_303628) BOUND_VARIABLE_303629)) BOUND_VARIABLE_303630))))))) (let ((_let_17087 (forall ((BOUND_VARIABLE_303616 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_303617 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303617)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_303616) tptp.bot_bo3957492148770167129t_unit))) (ll_2883 BOUND_VARIABLE_303616 BOUND_VARIABLE_303617))))) (let ((_let_17088 (forall ((BOUND_VARIABLE_303603 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_303604 tptp.set_Product_unit) (BOUND_VARIABLE_303605 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303605)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_303603) BOUND_VARIABLE_303604))) (ll_2882 BOUND_VARIABLE_303603 BOUND_VARIABLE_303604 BOUND_VARIABLE_303605))))) (let ((_let_17089 (forall ((BOUND_VARIABLE_303569 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_303570 tptp.set_nat) (BOUND_VARIABLE_303571 tptp.set_Product_unit) (BOUND_VARIABLE_303572 tptp.nat)) (= (ll_2881 BOUND_VARIABLE_303569 BOUND_VARIABLE_303570 BOUND_VARIABLE_303571 BOUND_VARIABLE_303572) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_303572)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3910 BOUND_VARIABLE_303569) BOUND_VARIABLE_303570)) BOUND_VARIABLE_303571))))))) (let ((_let_17090 (forall ((BOUND_VARIABLE_303552 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303553 tptp.product_prod_nat_nat)) (= (ll_2880 BOUND_VARIABLE_303552 BOUND_VARIABLE_303553) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303553)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_303552) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17091 (forall ((BOUND_VARIABLE_303539 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303540 tptp.set_nat) (BOUND_VARIABLE_303541 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303541)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_303539) BOUND_VARIABLE_303540))) (ll_2879 BOUND_VARIABLE_303539 BOUND_VARIABLE_303540 BOUND_VARIABLE_303541))))) (let ((_let_17092 (forall ((BOUND_VARIABLE_303505 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303506 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303507 tptp.set_nat) (BOUND_VARIABLE_303508 tptp.product_prod_nat_nat)) (= (ll_2878 BOUND_VARIABLE_303505 BOUND_VARIABLE_303506 BOUND_VARIABLE_303507 BOUND_VARIABLE_303508) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303508)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3909 BOUND_VARIABLE_303505) BOUND_VARIABLE_303506)) BOUND_VARIABLE_303507))))))) (let ((_let_17093 (forall ((BOUND_VARIABLE_303493 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303494 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303494)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_303493) tptp.bot_bot_set_o))) (ll_2877 BOUND_VARIABLE_303493 BOUND_VARIABLE_303494))))) (let ((_let_17094 (forall ((BOUND_VARIABLE_303480 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303481 tptp.set_o) (BOUND_VARIABLE_303482 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303482)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_303480) BOUND_VARIABLE_303481))) (ll_2876 BOUND_VARIABLE_303480 BOUND_VARIABLE_303481 BOUND_VARIABLE_303482))))) (let ((_let_17095 (forall ((BOUND_VARIABLE_303446 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303447 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303448 tptp.set_o) (BOUND_VARIABLE_303449 tptp.product_prod_nat_nat)) (= (ll_2875 BOUND_VARIABLE_303446 BOUND_VARIABLE_303447 BOUND_VARIABLE_303448 BOUND_VARIABLE_303449) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303449)) (@ (@ tptp.image_7077428525161401678at_nat (@ (@ ll_3908 BOUND_VARIABLE_303446) BOUND_VARIABLE_303447)) BOUND_VARIABLE_303448))))))) (let ((_let_17096 (forall ((BOUND_VARIABLE_303429 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303430 tptp.product_prod_nat_nat)) (= (ll_2874 BOUND_VARIABLE_303429 BOUND_VARIABLE_303430) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303430)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_303429) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17097 (forall ((BOUND_VARIABLE_303416 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303417 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303418 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303418)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_303416) BOUND_VARIABLE_303417))) (ll_2873 BOUND_VARIABLE_303416 BOUND_VARIABLE_303417 BOUND_VARIABLE_303418))))) (let ((_let_17098 (forall ((BOUND_VARIABLE_303381 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303382 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303383 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303384 tptp.product_prod_nat_nat)) (= (ll_2872 BOUND_VARIABLE_303381 BOUND_VARIABLE_303382 BOUND_VARIABLE_303383 BOUND_VARIABLE_303384) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303384)) (@ (@ tptp.image_5423882813909314213at_nat (@ (@ ll_3907 BOUND_VARIABLE_303381) BOUND_VARIABLE_303382)) BOUND_VARIABLE_303383))))))) (let ((_let_17099 (forall ((BOUND_VARIABLE_303364 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303365 tptp.product_prod_nat_nat)) (= (ll_2871 BOUND_VARIABLE_303364 BOUND_VARIABLE_303365) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303365)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_303364) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_17100 (forall ((BOUND_VARIABLE_303351 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303352 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303353 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303353)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_303351) BOUND_VARIABLE_303352))) (ll_2870 BOUND_VARIABLE_303351 BOUND_VARIABLE_303352 BOUND_VARIABLE_303353))))) (let ((_let_17101 (forall ((BOUND_VARIABLE_303316 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303317 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303318 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303319 tptp.product_prod_nat_nat)) (= (ll_2869 BOUND_VARIABLE_303316 BOUND_VARIABLE_303317 BOUND_VARIABLE_303318 BOUND_VARIABLE_303319) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303319)) (@ (@ tptp.image_7979982168039674559at_nat (@ (@ ll_3906 BOUND_VARIABLE_303316) BOUND_VARIABLE_303317)) BOUND_VARIABLE_303318))))))) (let ((_let_17102 (forall ((BOUND_VARIABLE_303304 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303305 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303305)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_303304) tptp.bot_bo3957492148770167129t_unit))) (ll_2868 BOUND_VARIABLE_303304 BOUND_VARIABLE_303305))))) (let ((_let_17103 (forall ((BOUND_VARIABLE_303291 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303292 tptp.set_Product_unit) (BOUND_VARIABLE_303293 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303293)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_303291) BOUND_VARIABLE_303292))) (ll_2867 BOUND_VARIABLE_303291 BOUND_VARIABLE_303292 BOUND_VARIABLE_303293))))) (let ((_let_17104 (forall ((BOUND_VARIABLE_303257 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_303258 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303259 tptp.set_Product_unit) (BOUND_VARIABLE_303260 tptp.product_prod_nat_nat)) (= (ll_2866 BOUND_VARIABLE_303257 BOUND_VARIABLE_303258 BOUND_VARIABLE_303259 BOUND_VARIABLE_303260) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_303260)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3905 BOUND_VARIABLE_303257) BOUND_VARIABLE_303258)) BOUND_VARIABLE_303259))))))) (let ((_let_17105 (forall ((BOUND_VARIABLE_303214 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303215 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_303216 tptp.produc3843707927480180839at_nat)) (= (ll_2865 BOUND_VARIABLE_303214 BOUND_VARIABLE_303215 BOUND_VARIABLE_303216) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_303216)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3904 BOUND_VARIABLE_303214) BOUND_VARIABLE_303215)) tptp.top_top_set_o))))))) (let ((_let_17106 (forall ((BOUND_VARIABLE_303167 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303168 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_303169 tptp.set_o) (BOUND_VARIABLE_303170 tptp.produc3843707927480180839at_nat)) (= (ll_2864 BOUND_VARIABLE_303167 BOUND_VARIABLE_303168 BOUND_VARIABLE_303169 BOUND_VARIABLE_303170) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_303170)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3903 BOUND_VARIABLE_303167) BOUND_VARIABLE_303168) BOUND_VARIABLE_303169)) tptp.top_top_set_o))))))) (let ((_let_17107 (forall ((BOUND_VARIABLE_303119 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303120 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_303121 tptp.set_o) (BOUND_VARIABLE_303122 tptp.produc3843707927480180839at_nat)) (= (ll_2863 BOUND_VARIABLE_303119 BOUND_VARIABLE_303120 BOUND_VARIABLE_303121 BOUND_VARIABLE_303122) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_303122)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3902 BOUND_VARIABLE_303119) BOUND_VARIABLE_303120)) BOUND_VARIABLE_303121))))))) (let ((_let_17108 (forall ((BOUND_VARIABLE_303101 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_303102 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_303103 Bool)) (= (ll_2862 BOUND_VARIABLE_303101 BOUND_VARIABLE_303102 BOUND_VARIABLE_303103) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_303103) BOUND_VARIABLE_303101) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_303102) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17109 (forall ((BOUND_VARIABLE_303087 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_303088 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_303089 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_303090 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_303090) BOUND_VARIABLE_303087) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_303088) BOUND_VARIABLE_303089))) (ll_2861 BOUND_VARIABLE_303087 BOUND_VARIABLE_303088 BOUND_VARIABLE_303089 BOUND_VARIABLE_303090))))) (let ((_let_17110 (forall ((BOUND_VARIABLE_303055 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_303056 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_303057 tptp.product_prod_nat_nat)) (= (ll_2860 BOUND_VARIABLE_303055 BOUND_VARIABLE_303056 BOUND_VARIABLE_303057) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3901 BOUND_VARIABLE_303055) BOUND_VARIABLE_303056) BOUND_VARIABLE_303057)) tptp.top_top_set_o)))))) (let ((_let_17111 (forall ((BOUND_VARIABLE_303012 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_303013 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_303014 tptp.produc3843707927480180839at_nat)) (= (ll_2859 BOUND_VARIABLE_303012 BOUND_VARIABLE_303013 BOUND_VARIABLE_303014) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_303014)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3900 BOUND_VARIABLE_303012) BOUND_VARIABLE_303013)) tptp.top_top_set_o))))))) (let ((_let_17112 (forall ((BOUND_VARIABLE_302965 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302966 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_302967 tptp.set_Product_unit) (BOUND_VARIABLE_302968 tptp.produc3843707927480180839at_nat)) (= (ll_2858 BOUND_VARIABLE_302965 BOUND_VARIABLE_302966 BOUND_VARIABLE_302967 BOUND_VARIABLE_302968) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_302968)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3899 BOUND_VARIABLE_302965) BOUND_VARIABLE_302966) BOUND_VARIABLE_302967)) tptp.top_top_set_o))))))) (let ((_let_17113 (forall ((BOUND_VARIABLE_302916 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302917 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_302918 tptp.set_Product_unit) (BOUND_VARIABLE_302919 tptp.produc3843707927480180839at_nat)) (= (ll_2857 BOUND_VARIABLE_302916 BOUND_VARIABLE_302917 BOUND_VARIABLE_302918 BOUND_VARIABLE_302919) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_302919)) (@ (@ tptp.image_5172358348707908735at_nat (@ (@ ll_3898 BOUND_VARIABLE_302916) BOUND_VARIABLE_302917)) BOUND_VARIABLE_302918))))))) (let ((_let_17114 (forall ((BOUND_VARIABLE_302898 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302899 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302900 Bool)) (= (ll_2856 BOUND_VARIABLE_302898 BOUND_VARIABLE_302899 BOUND_VARIABLE_302900) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302900) BOUND_VARIABLE_302898) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_302899) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17115 (forall ((BOUND_VARIABLE_302884 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302885 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302886 tptp.set_nat) (BOUND_VARIABLE_302887 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302887) BOUND_VARIABLE_302884) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_302885) BOUND_VARIABLE_302886))) (ll_2855 BOUND_VARIABLE_302884 BOUND_VARIABLE_302885 BOUND_VARIABLE_302886 BOUND_VARIABLE_302887))))) (let ((_let_17116 (forall ((BOUND_VARIABLE_302852 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302853 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302854 tptp.nat)) (= (ll_2854 BOUND_VARIABLE_302852 BOUND_VARIABLE_302853 BOUND_VARIABLE_302854) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3897 BOUND_VARIABLE_302852) BOUND_VARIABLE_302853) BOUND_VARIABLE_302854)) tptp.top_top_set_o)))))) (let ((_let_17117 (forall ((BOUND_VARIABLE_302839 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302840 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302841 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302841) BOUND_VARIABLE_302839) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_302840) tptp.bot_bot_set_o))) (ll_2853 BOUND_VARIABLE_302839 BOUND_VARIABLE_302840 BOUND_VARIABLE_302841))))) (let ((_let_17118 (forall ((BOUND_VARIABLE_302825 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302826 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302827 tptp.set_o) (BOUND_VARIABLE_302828 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302828) BOUND_VARIABLE_302825) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_302826) BOUND_VARIABLE_302827))) (ll_2852 BOUND_VARIABLE_302825 BOUND_VARIABLE_302826 BOUND_VARIABLE_302827 BOUND_VARIABLE_302828))))) (let ((_let_17119 (forall ((BOUND_VARIABLE_302793 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302794 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302795 Bool)) (= (ll_2851 BOUND_VARIABLE_302793 BOUND_VARIABLE_302794 BOUND_VARIABLE_302795) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3896 BOUND_VARIABLE_302793) BOUND_VARIABLE_302794) BOUND_VARIABLE_302795)) tptp.top_top_set_o)))))) (let ((_let_17120 (forall ((BOUND_VARIABLE_302780 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302781 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302782 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302782) BOUND_VARIABLE_302780) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_302781) tptp.bot_bo3957492148770167129t_unit))) (ll_2850 BOUND_VARIABLE_302780 BOUND_VARIABLE_302781 BOUND_VARIABLE_302782))))) (let ((_let_17121 (forall ((BOUND_VARIABLE_302766 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302767 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302768 tptp.set_Product_unit) (BOUND_VARIABLE_302769 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302769) BOUND_VARIABLE_302766) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_302767) BOUND_VARIABLE_302768))) (ll_2849 BOUND_VARIABLE_302766 BOUND_VARIABLE_302767 BOUND_VARIABLE_302768 BOUND_VARIABLE_302769))))) (let ((_let_17122 (forall ((BOUND_VARIABLE_302734 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302735 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302736 tptp.product_unit)) (= (ll_2848 BOUND_VARIABLE_302734 BOUND_VARIABLE_302735 BOUND_VARIABLE_302736) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3895 BOUND_VARIABLE_302734) BOUND_VARIABLE_302735) BOUND_VARIABLE_302736)) tptp.top_top_set_o)))))) (let ((_let_17123 (forall ((BOUND_VARIABLE_302691 tptp.set_nat) (BOUND_VARIABLE_302692 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_302693 tptp.nat)) (= (ll_2847 BOUND_VARIABLE_302691 BOUND_VARIABLE_302692 BOUND_VARIABLE_302693) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302693)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3894 BOUND_VARIABLE_302691) BOUND_VARIABLE_302692)) tptp.top_top_set_o))))))) (let ((_let_17124 (forall ((BOUND_VARIABLE_302644 tptp.set_nat) (BOUND_VARIABLE_302645 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_302646 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_302647 tptp.nat)) (= (ll_2846 BOUND_VARIABLE_302644 BOUND_VARIABLE_302645 BOUND_VARIABLE_302646 BOUND_VARIABLE_302647) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302647)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3893 BOUND_VARIABLE_302644) BOUND_VARIABLE_302645) BOUND_VARIABLE_302646)) tptp.top_top_set_o))))))) (let ((_let_17125 (forall ((BOUND_VARIABLE_302596 tptp.set_nat) (BOUND_VARIABLE_302597 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_302598 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_302599 tptp.nat)) (= (ll_2845 BOUND_VARIABLE_302596 BOUND_VARIABLE_302597 BOUND_VARIABLE_302598 BOUND_VARIABLE_302599) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302599)) (@ (@ tptp.image_15824709712370754et_nat (@ (@ ll_3892 BOUND_VARIABLE_302596) BOUND_VARIABLE_302597)) BOUND_VARIABLE_302598))))))) (let ((_let_17126 (forall ((BOUND_VARIABLE_302553 tptp.set_nat) (BOUND_VARIABLE_302554 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_302555 tptp.nat)) (= (ll_2844 BOUND_VARIABLE_302553 BOUND_VARIABLE_302554 BOUND_VARIABLE_302555) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302555)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3891 BOUND_VARIABLE_302553) BOUND_VARIABLE_302554)) tptp.top_top_set_o))))))) (let ((_let_17127 (forall ((BOUND_VARIABLE_302507 tptp.set_nat) (BOUND_VARIABLE_302508 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_302509 tptp.set_nat) (BOUND_VARIABLE_302510 tptp.nat)) (= (ll_2843 BOUND_VARIABLE_302507 BOUND_VARIABLE_302508 BOUND_VARIABLE_302509 BOUND_VARIABLE_302510) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302510)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3890 BOUND_VARIABLE_302507) BOUND_VARIABLE_302508) BOUND_VARIABLE_302509)) tptp.top_top_set_o))))))) (let ((_let_17128 (forall ((BOUND_VARIABLE_302459 tptp.set_nat) (BOUND_VARIABLE_302460 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_302461 tptp.set_nat) (BOUND_VARIABLE_302462 tptp.nat)) (= (ll_2842 BOUND_VARIABLE_302459 BOUND_VARIABLE_302460 BOUND_VARIABLE_302461 BOUND_VARIABLE_302462) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302462)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3889 BOUND_VARIABLE_302459) BOUND_VARIABLE_302460)) BOUND_VARIABLE_302461))))))) (let ((_let_17129 (forall ((BOUND_VARIABLE_302416 tptp.set_nat) (BOUND_VARIABLE_302417 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_302418 tptp.nat)) (= (ll_2841 BOUND_VARIABLE_302416 BOUND_VARIABLE_302417 BOUND_VARIABLE_302418) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302418)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3888 BOUND_VARIABLE_302416) BOUND_VARIABLE_302417)) tptp.top_top_set_o))))))) (let ((_let_17130 (forall ((BOUND_VARIABLE_302370 tptp.set_nat) (BOUND_VARIABLE_302371 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_302372 tptp.set_o) (BOUND_VARIABLE_302373 tptp.nat)) (= (ll_2840 BOUND_VARIABLE_302370 BOUND_VARIABLE_302371 BOUND_VARIABLE_302372 BOUND_VARIABLE_302373) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302373)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3887 BOUND_VARIABLE_302370) BOUND_VARIABLE_302371) BOUND_VARIABLE_302372)) tptp.top_top_set_o))))))) (let ((_let_17131 (forall ((BOUND_VARIABLE_302322 tptp.set_nat) (BOUND_VARIABLE_302323 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_302324 tptp.set_o) (BOUND_VARIABLE_302325 tptp.nat)) (= (ll_2839 BOUND_VARIABLE_302322 BOUND_VARIABLE_302323 BOUND_VARIABLE_302324 BOUND_VARIABLE_302325) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302325)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3886 BOUND_VARIABLE_302322) BOUND_VARIABLE_302323)) BOUND_VARIABLE_302324))))))) (let ((_let_17132 (forall ((BOUND_VARIABLE_302279 tptp.set_nat) (BOUND_VARIABLE_302280 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_302281 tptp.nat)) (= (ll_2838 BOUND_VARIABLE_302279 BOUND_VARIABLE_302280 BOUND_VARIABLE_302281) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302281)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3885 BOUND_VARIABLE_302279) BOUND_VARIABLE_302280)) tptp.top_top_set_o))))))) (let ((_let_17133 (forall ((BOUND_VARIABLE_302233 tptp.set_nat) (BOUND_VARIABLE_302234 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_302235 tptp.set_Product_unit) (BOUND_VARIABLE_302236 tptp.nat)) (= (ll_2837 BOUND_VARIABLE_302233 BOUND_VARIABLE_302234 BOUND_VARIABLE_302235 BOUND_VARIABLE_302236) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302236)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3884 BOUND_VARIABLE_302233) BOUND_VARIABLE_302234) BOUND_VARIABLE_302235)) tptp.top_top_set_o))))))) (let ((_let_17134 (forall ((BOUND_VARIABLE_302185 tptp.set_nat) (BOUND_VARIABLE_302186 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_302187 tptp.set_Product_unit) (BOUND_VARIABLE_302188 tptp.nat)) (= (ll_2836 BOUND_VARIABLE_302185 BOUND_VARIABLE_302186 BOUND_VARIABLE_302187 BOUND_VARIABLE_302188) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_302188)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3883 BOUND_VARIABLE_302185) BOUND_VARIABLE_302186)) BOUND_VARIABLE_302187))))))) (let ((_let_17135 (forall ((BOUND_VARIABLE_302142 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_302143 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302144 tptp.produc3843707927480180839at_nat)) (= (ll_2835 BOUND_VARIABLE_302142 BOUND_VARIABLE_302143 BOUND_VARIABLE_302144) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_302144)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3882 BOUND_VARIABLE_302142) BOUND_VARIABLE_302143)) tptp.top_top_set_o))))))) (let ((_let_17136 (forall ((BOUND_VARIABLE_302095 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_302096 tptp.set_o) (BOUND_VARIABLE_302097 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302098 tptp.produc3843707927480180839at_nat)) (= (ll_2834 BOUND_VARIABLE_302095 BOUND_VARIABLE_302096 BOUND_VARIABLE_302097 BOUND_VARIABLE_302098) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_302098)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3881 BOUND_VARIABLE_302095) BOUND_VARIABLE_302096) BOUND_VARIABLE_302097)) tptp.top_top_set_o))))))) (let ((_let_17137 (forall ((BOUND_VARIABLE_302046 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_302047 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_302048 tptp.set_o) (BOUND_VARIABLE_302049 tptp.produc3843707927480180839at_nat)) (= (ll_2833 BOUND_VARIABLE_302046 BOUND_VARIABLE_302047 BOUND_VARIABLE_302048 BOUND_VARIABLE_302049) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_302049)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3880 BOUND_VARIABLE_302046) BOUND_VARIABLE_302047)) BOUND_VARIABLE_302048))))))) (let ((_let_17138 (forall ((BOUND_VARIABLE_302027 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302028 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302029 Bool)) (= (ll_2832 BOUND_VARIABLE_302027 BOUND_VARIABLE_302028 BOUND_VARIABLE_302029) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302029) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_302027) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))) BOUND_VARIABLE_302028))))) (let ((_let_17139 (forall ((BOUND_VARIABLE_302013 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_302014 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_302015 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_302016 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_302016) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_302013) BOUND_VARIABLE_302014))) BOUND_VARIABLE_302015) (ll_2831 BOUND_VARIABLE_302013 BOUND_VARIABLE_302014 BOUND_VARIABLE_302015 BOUND_VARIABLE_302016))))) (let ((_let_17140 (forall ((BOUND_VARIABLE_301981 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301982 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301983 tptp.product_prod_nat_nat)) (= (ll_2830 BOUND_VARIABLE_301981 BOUND_VARIABLE_301982 BOUND_VARIABLE_301983) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3879 BOUND_VARIABLE_301981) BOUND_VARIABLE_301983) BOUND_VARIABLE_301982)) tptp.top_top_set_o)))))) (let ((_let_17141 (forall ((BOUND_VARIABLE_301937 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_301938 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_301939 tptp.produc3843707927480180839at_nat)) (= (ll_2829 BOUND_VARIABLE_301937 BOUND_VARIABLE_301938 BOUND_VARIABLE_301939) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_301939)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3878 BOUND_VARIABLE_301937) BOUND_VARIABLE_301938)) tptp.top_top_set_o))))))) (let ((_let_17142 (forall ((BOUND_VARIABLE_301890 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_301891 tptp.set_Product_unit) (BOUND_VARIABLE_301892 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_301893 tptp.produc3843707927480180839at_nat)) (= (ll_2828 BOUND_VARIABLE_301890 BOUND_VARIABLE_301891 BOUND_VARIABLE_301892 BOUND_VARIABLE_301893) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_301893)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3877 BOUND_VARIABLE_301890) BOUND_VARIABLE_301891) BOUND_VARIABLE_301892)) tptp.top_top_set_o))))))) (let ((_let_17143 (forall ((BOUND_VARIABLE_301841 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_301842 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_301843 tptp.set_Product_unit) (BOUND_VARIABLE_301844 tptp.produc3843707927480180839at_nat)) (= (ll_2827 BOUND_VARIABLE_301841 BOUND_VARIABLE_301842 BOUND_VARIABLE_301843 BOUND_VARIABLE_301844) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_301844)) (@ (@ tptp.image_5172358348707908735at_nat (@ (@ ll_3876 BOUND_VARIABLE_301841) BOUND_VARIABLE_301842)) BOUND_VARIABLE_301843))))))) (let ((_let_17144 (forall ((BOUND_VARIABLE_301822 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301823 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301824 Bool)) (= (ll_2826 BOUND_VARIABLE_301822 BOUND_VARIABLE_301823 BOUND_VARIABLE_301824) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_301824) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_301822) (@ tptp.collect_nat ll_1295)))) BOUND_VARIABLE_301823))))) (let ((_let_17145 (forall ((BOUND_VARIABLE_301808 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301809 tptp.set_nat) (BOUND_VARIABLE_301810 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301811 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_301811) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_301808) BOUND_VARIABLE_301809))) BOUND_VARIABLE_301810) (ll_2825 BOUND_VARIABLE_301808 BOUND_VARIABLE_301809 BOUND_VARIABLE_301810 BOUND_VARIABLE_301811))))) (let ((_let_17146 (forall ((BOUND_VARIABLE_301776 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301777 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301778 tptp.nat)) (= (ll_2824 BOUND_VARIABLE_301776 BOUND_VARIABLE_301777 BOUND_VARIABLE_301778) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3875 BOUND_VARIABLE_301776) BOUND_VARIABLE_301778) BOUND_VARIABLE_301777)) tptp.top_top_set_o)))))) (let ((_let_17147 (forall ((BOUND_VARIABLE_301763 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301764 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301765 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_301765) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_301763) tptp.bot_bot_set_o))) BOUND_VARIABLE_301764) (ll_2823 BOUND_VARIABLE_301763 BOUND_VARIABLE_301764 BOUND_VARIABLE_301765))))) (let ((_let_17148 (forall ((BOUND_VARIABLE_301749 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301750 tptp.set_o) (BOUND_VARIABLE_301751 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301752 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_301752) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_301749) BOUND_VARIABLE_301750))) BOUND_VARIABLE_301751) (ll_2822 BOUND_VARIABLE_301749 BOUND_VARIABLE_301750 BOUND_VARIABLE_301751 BOUND_VARIABLE_301752))))) (let ((_let_17149 (forall ((BOUND_VARIABLE_301717 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301718 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301719 Bool)) (= (ll_2821 BOUND_VARIABLE_301717 BOUND_VARIABLE_301718 BOUND_VARIABLE_301719) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3874 BOUND_VARIABLE_301717) BOUND_VARIABLE_301719) BOUND_VARIABLE_301718)) tptp.top_top_set_o)))))) (let ((_let_17150 (forall ((BOUND_VARIABLE_301704 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301705 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301706 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_301706) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_301704) tptp.bot_bo3957492148770167129t_unit))) BOUND_VARIABLE_301705) (ll_2820 BOUND_VARIABLE_301704 BOUND_VARIABLE_301705 BOUND_VARIABLE_301706))))) (let ((_let_17151 (forall ((BOUND_VARIABLE_301690 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301691 tptp.set_Product_unit) (BOUND_VARIABLE_301692 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301693 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_301693) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_301690) BOUND_VARIABLE_301691))) BOUND_VARIABLE_301692) (ll_2819 BOUND_VARIABLE_301690 BOUND_VARIABLE_301691 BOUND_VARIABLE_301692 BOUND_VARIABLE_301693))))) (let ((_let_17152 (forall ((BOUND_VARIABLE_301658 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_301659 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_301660 tptp.product_unit)) (= (ll_2818 BOUND_VARIABLE_301658 BOUND_VARIABLE_301659 BOUND_VARIABLE_301660) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ (@ ll_3873 BOUND_VARIABLE_301658) BOUND_VARIABLE_301660) BOUND_VARIABLE_301659)) tptp.top_top_set_o)))))) (let ((_let_17153 (forall ((BOUND_VARIABLE_301614 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_301615 tptp.set_nat) (BOUND_VARIABLE_301616 tptp.nat)) (= (ll_2817 BOUND_VARIABLE_301614 BOUND_VARIABLE_301615 BOUND_VARIABLE_301616) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301616)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3872 BOUND_VARIABLE_301614) BOUND_VARIABLE_301615)) tptp.top_top_set_o))))))) (let ((_let_17154 (forall ((BOUND_VARIABLE_301567 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_301568 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_301569 tptp.set_nat) (BOUND_VARIABLE_301570 tptp.nat)) (= (ll_2816 BOUND_VARIABLE_301567 BOUND_VARIABLE_301568 BOUND_VARIABLE_301569 BOUND_VARIABLE_301570) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301570)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3871 BOUND_VARIABLE_301567) BOUND_VARIABLE_301568) BOUND_VARIABLE_301569)) tptp.top_top_set_o))))))) (let ((_let_17155 (forall ((BOUND_VARIABLE_301518 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_301519 tptp.set_nat) (BOUND_VARIABLE_301520 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_301521 tptp.nat)) (= (ll_2815 BOUND_VARIABLE_301518 BOUND_VARIABLE_301519 BOUND_VARIABLE_301520 BOUND_VARIABLE_301521) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301521)) (@ (@ tptp.image_15824709712370754et_nat (@ (@ ll_3870 BOUND_VARIABLE_301518) BOUND_VARIABLE_301519)) BOUND_VARIABLE_301520))))))) (let ((_let_17156 (forall ((BOUND_VARIABLE_301474 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_301475 tptp.set_nat) (BOUND_VARIABLE_301476 tptp.nat)) (= (ll_2814 BOUND_VARIABLE_301474 BOUND_VARIABLE_301475 BOUND_VARIABLE_301476) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301476)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3869 BOUND_VARIABLE_301474) BOUND_VARIABLE_301475)) tptp.top_top_set_o))))))) (let ((_let_17157 (forall ((BOUND_VARIABLE_301428 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_301429 tptp.set_nat) (BOUND_VARIABLE_301430 tptp.set_nat) (BOUND_VARIABLE_301431 tptp.nat)) (= (ll_2813 BOUND_VARIABLE_301428 BOUND_VARIABLE_301429 BOUND_VARIABLE_301430 BOUND_VARIABLE_301431) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301431)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3868 BOUND_VARIABLE_301428) BOUND_VARIABLE_301429) BOUND_VARIABLE_301430)) tptp.top_top_set_o))))))) (let ((_let_17158 (forall ((BOUND_VARIABLE_301380 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_301381 tptp.set_nat) (BOUND_VARIABLE_301382 tptp.set_nat) (BOUND_VARIABLE_301383 tptp.nat)) (= (ll_2812 BOUND_VARIABLE_301380 BOUND_VARIABLE_301381 BOUND_VARIABLE_301382 BOUND_VARIABLE_301383) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301383)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3867 BOUND_VARIABLE_301380) BOUND_VARIABLE_301381)) BOUND_VARIABLE_301382))))))) (let ((_let_17159 (forall ((BOUND_VARIABLE_301337 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_301338 tptp.set_nat) (BOUND_VARIABLE_301339 tptp.nat)) (= (ll_2811 BOUND_VARIABLE_301337 BOUND_VARIABLE_301338 BOUND_VARIABLE_301339) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301339)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3866 BOUND_VARIABLE_301337) BOUND_VARIABLE_301338)) tptp.top_top_set_o))))))) (let ((_let_17160 (forall ((BOUND_VARIABLE_301291 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_301292 tptp.set_o) (BOUND_VARIABLE_301293 tptp.set_nat) (BOUND_VARIABLE_301294 tptp.nat)) (= (ll_2810 BOUND_VARIABLE_301291 BOUND_VARIABLE_301292 BOUND_VARIABLE_301293 BOUND_VARIABLE_301294) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301294)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3865 BOUND_VARIABLE_301291) BOUND_VARIABLE_301292) BOUND_VARIABLE_301293)) tptp.top_top_set_o))))))) (let ((_let_17161 (forall ((BOUND_VARIABLE_301243 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_301244 tptp.set_nat) (BOUND_VARIABLE_301245 tptp.set_o) (BOUND_VARIABLE_301246 tptp.nat)) (= (ll_2809 BOUND_VARIABLE_301243 BOUND_VARIABLE_301244 BOUND_VARIABLE_301245 BOUND_VARIABLE_301246) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301246)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3864 BOUND_VARIABLE_301243) BOUND_VARIABLE_301244)) BOUND_VARIABLE_301245))))))) (let ((_let_17162 (forall ((BOUND_VARIABLE_301199 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_301200 tptp.set_nat) (BOUND_VARIABLE_301201 tptp.nat)) (= (ll_2808 BOUND_VARIABLE_301199 BOUND_VARIABLE_301200 BOUND_VARIABLE_301201) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301201)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3863 BOUND_VARIABLE_301199) BOUND_VARIABLE_301200)) tptp.top_top_set_o))))))) (let ((_let_17163 (forall ((BOUND_VARIABLE_301153 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_301154 tptp.set_Product_unit) (BOUND_VARIABLE_301155 tptp.set_nat) (BOUND_VARIABLE_301156 tptp.nat)) (= (ll_2807 BOUND_VARIABLE_301153 BOUND_VARIABLE_301154 BOUND_VARIABLE_301155 BOUND_VARIABLE_301156) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301156)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3862 BOUND_VARIABLE_301153) BOUND_VARIABLE_301154) BOUND_VARIABLE_301155)) tptp.top_top_set_o))))))) (let ((_let_17164 (forall ((BOUND_VARIABLE_301105 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_301106 tptp.set_nat) (BOUND_VARIABLE_301107 tptp.set_Product_unit) (BOUND_VARIABLE_301108 tptp.nat)) (= (ll_2806 BOUND_VARIABLE_301105 BOUND_VARIABLE_301106 BOUND_VARIABLE_301107 BOUND_VARIABLE_301108) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301108)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3861 BOUND_VARIABLE_301105) BOUND_VARIABLE_301106)) BOUND_VARIABLE_301107))))))) (let ((_let_17165 (forall ((BOUND_VARIABLE_301089 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_301090 Bool) (BOUND_VARIABLE_301091 tptp.set_o) (BOUND_VARIABLE_301092 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_301092)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_301089) (@ (@ tptp.insert_o BOUND_VARIABLE_301090) BOUND_VARIABLE_301091)))) (ll_2805 BOUND_VARIABLE_301089 BOUND_VARIABLE_301090 BOUND_VARIABLE_301091 BOUND_VARIABLE_301092))))) (let ((_let_17166 (forall ((BOUND_VARIABLE_301076 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_301077 tptp.set_o) (BOUND_VARIABLE_301078 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_301078)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_301076) BOUND_VARIABLE_301077))) (ll_2804 BOUND_VARIABLE_301076 BOUND_VARIABLE_301077 BOUND_VARIABLE_301078))))) (let ((_let_17167 (forall ((BOUND_VARIABLE_301060 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_301061 tptp.product_unit) (BOUND_VARIABLE_301062 tptp.set_Product_unit) (BOUND_VARIABLE_301063 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_301063)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_301060) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_301061) BOUND_VARIABLE_301062)))) (ll_2803 BOUND_VARIABLE_301060 BOUND_VARIABLE_301061 BOUND_VARIABLE_301062 BOUND_VARIABLE_301063))))) (let ((_let_17168 (forall ((BOUND_VARIABLE_301047 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_301048 tptp.set_Product_unit) (BOUND_VARIABLE_301049 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_301049)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_301047) BOUND_VARIABLE_301048))) (ll_2802 BOUND_VARIABLE_301047 BOUND_VARIABLE_301048 BOUND_VARIABLE_301049))))) (let ((_let_17169 (forall ((BOUND_VARIABLE_301031 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_301032 tptp.nat) (BOUND_VARIABLE_301033 tptp.set_nat) (BOUND_VARIABLE_301034 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_301034)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_301031) (@ (@ tptp.insert_nat BOUND_VARIABLE_301032) BOUND_VARIABLE_301033)))) (ll_2801 BOUND_VARIABLE_301031 BOUND_VARIABLE_301032 BOUND_VARIABLE_301033 BOUND_VARIABLE_301034))))) (let ((_let_17170 (forall ((BOUND_VARIABLE_301018 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_301019 tptp.set_nat) (BOUND_VARIABLE_301020 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_301020)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_301018) BOUND_VARIABLE_301019))) (ll_2800 BOUND_VARIABLE_301018 BOUND_VARIABLE_301019 BOUND_VARIABLE_301020))))) (let ((_let_17171 (forall ((BOUND_VARIABLE_301002 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_301003 Bool) (BOUND_VARIABLE_301004 tptp.set_o) (BOUND_VARIABLE_301005 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_301005)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_301002) (@ (@ tptp.insert_o BOUND_VARIABLE_301003) BOUND_VARIABLE_301004)))) (ll_2799 BOUND_VARIABLE_301002 BOUND_VARIABLE_301003 BOUND_VARIABLE_301004 BOUND_VARIABLE_301005))))) (let ((_let_17172 (forall ((BOUND_VARIABLE_300989 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300990 tptp.set_o) (BOUND_VARIABLE_300991 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300991)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_300989) BOUND_VARIABLE_300990))) (ll_2798 BOUND_VARIABLE_300989 BOUND_VARIABLE_300990 BOUND_VARIABLE_300991))))) (let ((_let_17173 (forall ((BOUND_VARIABLE_300973 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300974 tptp.product_unit) (BOUND_VARIABLE_300975 tptp.set_Product_unit) (BOUND_VARIABLE_300976 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300976)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_300973) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_300974) BOUND_VARIABLE_300975)))) (ll_2797 BOUND_VARIABLE_300973 BOUND_VARIABLE_300974 BOUND_VARIABLE_300975 BOUND_VARIABLE_300976))))) (let ((_let_17174 (forall ((BOUND_VARIABLE_300960 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300961 tptp.set_Product_unit) (BOUND_VARIABLE_300962 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300962)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_300960) BOUND_VARIABLE_300961))) (ll_2796 BOUND_VARIABLE_300960 BOUND_VARIABLE_300961 BOUND_VARIABLE_300962))))) (let ((_let_17175 (forall ((BOUND_VARIABLE_300944 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300945 tptp.nat) (BOUND_VARIABLE_300946 tptp.set_nat) (BOUND_VARIABLE_300947 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300947)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_300944) (@ (@ tptp.insert_nat BOUND_VARIABLE_300945) BOUND_VARIABLE_300946)))) (ll_2795 BOUND_VARIABLE_300944 BOUND_VARIABLE_300945 BOUND_VARIABLE_300946 BOUND_VARIABLE_300947))))) (let ((_let_17176 (forall ((BOUND_VARIABLE_300931 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300932 tptp.set_nat) (BOUND_VARIABLE_300933 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300933)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_300931) BOUND_VARIABLE_300932))) (ll_2794 BOUND_VARIABLE_300931 BOUND_VARIABLE_300932 BOUND_VARIABLE_300933))))) (let ((_let_17177 (forall ((BOUND_VARIABLE_300896 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300897 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300898 tptp.set_nat) (BOUND_VARIABLE_300899 tptp.product_prod_nat_nat)) (= (ll_2793 BOUND_VARIABLE_300896 BOUND_VARIABLE_300897 BOUND_VARIABLE_300898 BOUND_VARIABLE_300899) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300899)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3860 BOUND_VARIABLE_300896) BOUND_VARIABLE_300897)) BOUND_VARIABLE_300898))))))) (let ((_let_17178 (forall ((BOUND_VARIABLE_300883 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300884 tptp.set_nat) (BOUND_VARIABLE_300885 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300885)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_300883) BOUND_VARIABLE_300884))) (ll_2792 BOUND_VARIABLE_300883 BOUND_VARIABLE_300884 BOUND_VARIABLE_300885))))) (let ((_let_17179 (forall ((BOUND_VARIABLE_300848 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300849 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300850 tptp.set_o) (BOUND_VARIABLE_300851 tptp.product_prod_nat_nat)) (= (ll_2791 BOUND_VARIABLE_300848 BOUND_VARIABLE_300849 BOUND_VARIABLE_300850 BOUND_VARIABLE_300851) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300851)) (@ (@ tptp.image_7077428525161401678at_nat (@ (@ ll_3859 BOUND_VARIABLE_300848) BOUND_VARIABLE_300849)) BOUND_VARIABLE_300850))))))) (let ((_let_17180 (forall ((BOUND_VARIABLE_300835 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300836 tptp.set_o) (BOUND_VARIABLE_300837 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300837)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_300835) BOUND_VARIABLE_300836))) (ll_2790 BOUND_VARIABLE_300835 BOUND_VARIABLE_300836 BOUND_VARIABLE_300837))))) (let ((_let_17181 (forall ((BOUND_VARIABLE_300801 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300802 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300803 tptp.set_Product_unit) (BOUND_VARIABLE_300804 tptp.product_prod_nat_nat)) (= (ll_2789 BOUND_VARIABLE_300801 BOUND_VARIABLE_300802 BOUND_VARIABLE_300803 BOUND_VARIABLE_300804) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300804)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3858 BOUND_VARIABLE_300801) BOUND_VARIABLE_300802)) BOUND_VARIABLE_300803))))))) (let ((_let_17182 (forall ((BOUND_VARIABLE_300788 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300789 tptp.set_Product_unit) (BOUND_VARIABLE_300790 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300790)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_300788) BOUND_VARIABLE_300789))) (ll_2788 BOUND_VARIABLE_300788 BOUND_VARIABLE_300789 BOUND_VARIABLE_300790))))) (let ((_let_17183 (forall ((BOUND_VARIABLE_300754 tptp.set_nat) (BOUND_VARIABLE_300755 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300756 tptp.set_nat) (BOUND_VARIABLE_300757 tptp.nat)) (= (ll_2787 BOUND_VARIABLE_300754 BOUND_VARIABLE_300755 BOUND_VARIABLE_300756 BOUND_VARIABLE_300757) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300757)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3857 BOUND_VARIABLE_300754) BOUND_VARIABLE_300755)) BOUND_VARIABLE_300756))))))) (let ((_let_17184 (forall ((BOUND_VARIABLE_300741 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300742 tptp.set_nat) (BOUND_VARIABLE_300743 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300743)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_300741) BOUND_VARIABLE_300742))) (ll_2786 BOUND_VARIABLE_300741 BOUND_VARIABLE_300742 BOUND_VARIABLE_300743))))) (let ((_let_17185 (forall ((BOUND_VARIABLE_300707 tptp.set_nat) (BOUND_VARIABLE_300708 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300709 tptp.set_o) (BOUND_VARIABLE_300710 tptp.nat)) (= (ll_2785 BOUND_VARIABLE_300707 BOUND_VARIABLE_300708 BOUND_VARIABLE_300709 BOUND_VARIABLE_300710) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300710)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3856 BOUND_VARIABLE_300707) BOUND_VARIABLE_300708)) BOUND_VARIABLE_300709))))))) (let ((_let_17186 (forall ((BOUND_VARIABLE_300694 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300695 tptp.set_o) (BOUND_VARIABLE_300696 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300696)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_300694) BOUND_VARIABLE_300695))) (ll_2784 BOUND_VARIABLE_300694 BOUND_VARIABLE_300695 BOUND_VARIABLE_300696))))) (let ((_let_17187 (forall ((BOUND_VARIABLE_300660 tptp.set_nat) (BOUND_VARIABLE_300661 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300662 tptp.set_Product_unit) (BOUND_VARIABLE_300663 tptp.nat)) (= (ll_2783 BOUND_VARIABLE_300660 BOUND_VARIABLE_300661 BOUND_VARIABLE_300662 BOUND_VARIABLE_300663) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300663)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3855 BOUND_VARIABLE_300660) BOUND_VARIABLE_300661)) BOUND_VARIABLE_300662))))))) (let ((_let_17188 (forall ((BOUND_VARIABLE_300647 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300648 tptp.set_Product_unit) (BOUND_VARIABLE_300649 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300649)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_300647) BOUND_VARIABLE_300648))) (ll_2782 BOUND_VARIABLE_300647 BOUND_VARIABLE_300648 BOUND_VARIABLE_300649))))) (let ((_let_17189 (forall ((BOUND_VARIABLE_300612 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300613 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300614 tptp.set_nat) (BOUND_VARIABLE_300615 tptp.product_prod_nat_nat)) (= (ll_2781 BOUND_VARIABLE_300612 BOUND_VARIABLE_300613 BOUND_VARIABLE_300614 BOUND_VARIABLE_300615) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300615)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3854 BOUND_VARIABLE_300612) BOUND_VARIABLE_300613)) BOUND_VARIABLE_300614))))))) (let ((_let_17190 (forall ((BOUND_VARIABLE_300599 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300600 tptp.set_nat) (BOUND_VARIABLE_300601 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300601)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_300599) BOUND_VARIABLE_300600))) (ll_2780 BOUND_VARIABLE_300599 BOUND_VARIABLE_300600 BOUND_VARIABLE_300601))))) (let ((_let_17191 (forall ((BOUND_VARIABLE_300564 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300565 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300566 tptp.set_o) (BOUND_VARIABLE_300567 tptp.product_prod_nat_nat)) (= (ll_2779 BOUND_VARIABLE_300564 BOUND_VARIABLE_300565 BOUND_VARIABLE_300566 BOUND_VARIABLE_300567) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300567)) (@ (@ tptp.image_7077428525161401678at_nat (@ (@ ll_3853 BOUND_VARIABLE_300564) BOUND_VARIABLE_300565)) BOUND_VARIABLE_300566))))))) (let ((_let_17192 (forall ((BOUND_VARIABLE_300551 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300552 tptp.set_o) (BOUND_VARIABLE_300553 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300553)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_300551) BOUND_VARIABLE_300552))) (ll_2778 BOUND_VARIABLE_300551 BOUND_VARIABLE_300552 BOUND_VARIABLE_300553))))) (let ((_let_17193 (forall ((BOUND_VARIABLE_300517 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300518 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300519 tptp.set_Product_unit) (BOUND_VARIABLE_300520 tptp.product_prod_nat_nat)) (= (ll_2777 BOUND_VARIABLE_300517 BOUND_VARIABLE_300518 BOUND_VARIABLE_300519 BOUND_VARIABLE_300520) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300520)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3852 BOUND_VARIABLE_300517) BOUND_VARIABLE_300518)) BOUND_VARIABLE_300519))))))) (let ((_let_17194 (forall ((BOUND_VARIABLE_300504 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_300505 tptp.set_Product_unit) (BOUND_VARIABLE_300506 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_300506)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_300504) BOUND_VARIABLE_300505))) (ll_2776 BOUND_VARIABLE_300504 BOUND_VARIABLE_300505 BOUND_VARIABLE_300506))))) (let ((_let_17195 (forall ((BOUND_VARIABLE_300470 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300471 tptp.set_nat) (BOUND_VARIABLE_300472 tptp.set_nat) (BOUND_VARIABLE_300473 tptp.nat)) (= (ll_2775 BOUND_VARIABLE_300470 BOUND_VARIABLE_300471 BOUND_VARIABLE_300472 BOUND_VARIABLE_300473) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300473)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3851 BOUND_VARIABLE_300470) BOUND_VARIABLE_300471)) BOUND_VARIABLE_300472))))))) (let ((_let_17196 (forall ((BOUND_VARIABLE_300457 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300458 tptp.set_nat) (BOUND_VARIABLE_300459 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300459)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_300457) BOUND_VARIABLE_300458))) (ll_2774 BOUND_VARIABLE_300457 BOUND_VARIABLE_300458 BOUND_VARIABLE_300459))))) (let ((_let_17197 (forall ((BOUND_VARIABLE_300423 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300424 tptp.set_nat) (BOUND_VARIABLE_300425 tptp.set_o) (BOUND_VARIABLE_300426 tptp.nat)) (= (ll_2773 BOUND_VARIABLE_300423 BOUND_VARIABLE_300424 BOUND_VARIABLE_300425 BOUND_VARIABLE_300426) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300426)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3850 BOUND_VARIABLE_300423) BOUND_VARIABLE_300424)) BOUND_VARIABLE_300425))))))) (let ((_let_17198 (forall ((BOUND_VARIABLE_300410 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300411 tptp.set_o) (BOUND_VARIABLE_300412 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300412)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_300410) BOUND_VARIABLE_300411))) (ll_2772 BOUND_VARIABLE_300410 BOUND_VARIABLE_300411 BOUND_VARIABLE_300412))))) (let ((_let_17199 (forall ((BOUND_VARIABLE_300376 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300377 tptp.set_nat) (BOUND_VARIABLE_300378 tptp.set_Product_unit) (BOUND_VARIABLE_300379 tptp.nat)) (= (ll_2771 BOUND_VARIABLE_300376 BOUND_VARIABLE_300377 BOUND_VARIABLE_300378 BOUND_VARIABLE_300379) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300379)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3849 BOUND_VARIABLE_300376) BOUND_VARIABLE_300377)) BOUND_VARIABLE_300378))))))) (let ((_let_17200 (forall ((BOUND_VARIABLE_300363 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300364 tptp.set_Product_unit) (BOUND_VARIABLE_300365 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300365)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_300363) BOUND_VARIABLE_300364))) (ll_2770 BOUND_VARIABLE_300363 BOUND_VARIABLE_300364 BOUND_VARIABLE_300365))))) (let ((_let_17201 (forall ((BOUND_VARIABLE_300348 tptp.product_unit) (BOUND_VARIABLE_300349 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_300350 tptp.set_Product_unit) (BOUND_VARIABLE_300351 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_300351) (@ BOUND_VARIABLE_300349 BOUND_VARIABLE_300348)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_300349) BOUND_VARIABLE_300350))) (ll_2769 BOUND_VARIABLE_300348 BOUND_VARIABLE_300349 BOUND_VARIABLE_300350 BOUND_VARIABLE_300351))))) (let ((_let_17202 (forall ((BOUND_VARIABLE_300333 tptp.nat) (BOUND_VARIABLE_300334 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_300335 tptp.set_nat) (BOUND_VARIABLE_300336 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_300336) (@ BOUND_VARIABLE_300334 BOUND_VARIABLE_300333)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_300334) BOUND_VARIABLE_300335))) (ll_2768 BOUND_VARIABLE_300333 BOUND_VARIABLE_300334 BOUND_VARIABLE_300335 BOUND_VARIABLE_300336))))) (let ((_let_17203 (forall ((BOUND_VARIABLE_300317 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_300318 tptp.product_prod_nat_nat) (BOUND_VARIABLE_300319 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300320 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300320)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_300317) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_300318) BOUND_VARIABLE_300319)))) (ll_2767 BOUND_VARIABLE_300317 BOUND_VARIABLE_300318 BOUND_VARIABLE_300319 BOUND_VARIABLE_300320))))) (let ((_let_17204 (forall ((BOUND_VARIABLE_300269 tptp.product_prod_nat_nat) (BOUND_VARIABLE_300270 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_300271 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_300272 tptp.nat)) (= (ll_2766 BOUND_VARIABLE_300269 BOUND_VARIABLE_300270 BOUND_VARIABLE_300271 BOUND_VARIABLE_300272) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300272)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3848 BOUND_VARIABLE_300269) BOUND_VARIABLE_300270) BOUND_VARIABLE_300271)) tptp.top_top_set_o))))))) (let ((_let_17205 (forall ((BOUND_VARIABLE_300253 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300254 Bool) (BOUND_VARIABLE_300255 tptp.set_o) (BOUND_VARIABLE_300256 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300256)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_300253) (@ (@ tptp.insert_o BOUND_VARIABLE_300254) BOUND_VARIABLE_300255)))) (ll_2765 BOUND_VARIABLE_300253 BOUND_VARIABLE_300254 BOUND_VARIABLE_300255 BOUND_VARIABLE_300256))))) (let ((_let_17206 (forall ((BOUND_VARIABLE_300205 Bool) (BOUND_VARIABLE_300206 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_300207 tptp.set_o) (BOUND_VARIABLE_300208 tptp.nat)) (= (ll_2764 BOUND_VARIABLE_300205 BOUND_VARIABLE_300206 BOUND_VARIABLE_300207 BOUND_VARIABLE_300208) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300208)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3847 BOUND_VARIABLE_300205) BOUND_VARIABLE_300206) BOUND_VARIABLE_300207)) tptp.top_top_set_o))))))) (let ((_let_17207 (forall ((BOUND_VARIABLE_300189 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300190 tptp.product_unit) (BOUND_VARIABLE_300191 tptp.set_Product_unit) (BOUND_VARIABLE_300192 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300192)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_300189) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_300190) BOUND_VARIABLE_300191)))) (ll_2763 BOUND_VARIABLE_300189 BOUND_VARIABLE_300190 BOUND_VARIABLE_300191 BOUND_VARIABLE_300192))))) (let ((_let_17208 (forall ((BOUND_VARIABLE_300141 tptp.product_unit) (BOUND_VARIABLE_300142 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_300143 tptp.set_Product_unit) (BOUND_VARIABLE_300144 tptp.nat)) (= (ll_2762 BOUND_VARIABLE_300141 BOUND_VARIABLE_300142 BOUND_VARIABLE_300143 BOUND_VARIABLE_300144) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300144)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3846 BOUND_VARIABLE_300141) BOUND_VARIABLE_300142) BOUND_VARIABLE_300143)) tptp.top_top_set_o))))))) (let ((_let_17209 (forall ((BOUND_VARIABLE_300125 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300126 tptp.nat) (BOUND_VARIABLE_300127 tptp.set_nat) (BOUND_VARIABLE_300128 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300128)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_300125) (@ (@ tptp.insert_nat BOUND_VARIABLE_300126) BOUND_VARIABLE_300127)))) (ll_2761 BOUND_VARIABLE_300125 BOUND_VARIABLE_300126 BOUND_VARIABLE_300127 BOUND_VARIABLE_300128))))) (let ((_let_17210 (forall ((BOUND_VARIABLE_300077 tptp.nat) (BOUND_VARIABLE_300078 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_300079 tptp.set_nat) (BOUND_VARIABLE_300080 tptp.nat)) (= (ll_2760 BOUND_VARIABLE_300077 BOUND_VARIABLE_300078 BOUND_VARIABLE_300079 BOUND_VARIABLE_300080) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_300080)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3845 BOUND_VARIABLE_300077) BOUND_VARIABLE_300078) BOUND_VARIABLE_300079)) tptp.top_top_set_o))))))) (let ((_let_17211 (forall ((BOUND_VARIABLE_300061 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_300062 tptp.product_unit) (BOUND_VARIABLE_300063 tptp.set_Product_unit) (BOUND_VARIABLE_300064 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_300064)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_300061) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_300062) BOUND_VARIABLE_300063)))) (ll_2759 BOUND_VARIABLE_300061 BOUND_VARIABLE_300062 BOUND_VARIABLE_300063 BOUND_VARIABLE_300064))))) (let ((_let_17212 (forall ((BOUND_VARIABLE_300013 tptp.product_unit) (BOUND_VARIABLE_300014 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_300015 tptp.set_Product_unit) (BOUND_VARIABLE_300016 tptp.produc3843707927480180839at_nat)) (= (ll_2758 BOUND_VARIABLE_300013 BOUND_VARIABLE_300014 BOUND_VARIABLE_300015 BOUND_VARIABLE_300016) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_300016)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3844 BOUND_VARIABLE_300013) BOUND_VARIABLE_300014) BOUND_VARIABLE_300015)) tptp.top_top_set_o))))))) (let ((_let_17213 (forall ((BOUND_VARIABLE_299997 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_299998 tptp.nat) (BOUND_VARIABLE_299999 tptp.set_nat) (BOUND_VARIABLE_300000 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_300000)) (@ (@ tptp.image_1087905878993176368at_nat BOUND_VARIABLE_299997) (@ (@ tptp.insert_nat BOUND_VARIABLE_299998) BOUND_VARIABLE_299999)))) (ll_2757 BOUND_VARIABLE_299997 BOUND_VARIABLE_299998 BOUND_VARIABLE_299999 BOUND_VARIABLE_300000))))) (let ((_let_17214 (forall ((BOUND_VARIABLE_299949 tptp.nat) (BOUND_VARIABLE_299950 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_299951 tptp.set_nat) (BOUND_VARIABLE_299952 tptp.produc3843707927480180839at_nat)) (= (ll_2756 BOUND_VARIABLE_299949 BOUND_VARIABLE_299950 BOUND_VARIABLE_299951 BOUND_VARIABLE_299952) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_299952)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3843 BOUND_VARIABLE_299949) BOUND_VARIABLE_299950) BOUND_VARIABLE_299951)) tptp.top_top_set_o))))))) (let ((_let_17215 (forall ((BOUND_VARIABLE_299934 tptp.product_prod_nat_nat) (BOUND_VARIABLE_299935 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299936 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_299937 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299937) (@ BOUND_VARIABLE_299935 BOUND_VARIABLE_299934)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_299935) BOUND_VARIABLE_299936))) (ll_2755 BOUND_VARIABLE_299934 BOUND_VARIABLE_299935 BOUND_VARIABLE_299936 BOUND_VARIABLE_299937))))) (let ((_let_17216 (forall ((BOUND_VARIABLE_299919 Bool) (BOUND_VARIABLE_299920 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299921 tptp.set_o) (BOUND_VARIABLE_299922 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299922) (@ BOUND_VARIABLE_299920 BOUND_VARIABLE_299919)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_299920) BOUND_VARIABLE_299921))) (ll_2754 BOUND_VARIABLE_299919 BOUND_VARIABLE_299920 BOUND_VARIABLE_299921 BOUND_VARIABLE_299922))))) (let ((_let_17217 (forall ((BOUND_VARIABLE_299904 tptp.product_unit) (BOUND_VARIABLE_299905 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299906 tptp.set_Product_unit) (BOUND_VARIABLE_299907 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299907) (@ BOUND_VARIABLE_299905 BOUND_VARIABLE_299904)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_299905) BOUND_VARIABLE_299906))) (ll_2753 BOUND_VARIABLE_299904 BOUND_VARIABLE_299905 BOUND_VARIABLE_299906 BOUND_VARIABLE_299907))))) (let ((_let_17218 (forall ((BOUND_VARIABLE_299889 tptp.nat) (BOUND_VARIABLE_299890 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299891 tptp.set_nat) (BOUND_VARIABLE_299892 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299892) (@ BOUND_VARIABLE_299890 BOUND_VARIABLE_299889)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_299890) BOUND_VARIABLE_299891))) (ll_2752 BOUND_VARIABLE_299889 BOUND_VARIABLE_299890 BOUND_VARIABLE_299891 BOUND_VARIABLE_299892))))) (let ((_let_17219 (forall ((BOUND_VARIABLE_299873 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_299874 tptp.product_prod_nat_nat) (BOUND_VARIABLE_299875 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_299876 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299876)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_299873) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_299874) BOUND_VARIABLE_299875)))) (ll_2751 BOUND_VARIABLE_299873 BOUND_VARIABLE_299874 BOUND_VARIABLE_299875 BOUND_VARIABLE_299876))))) (let ((_let_17220 (forall ((BOUND_VARIABLE_299825 tptp.product_prod_nat_nat) (BOUND_VARIABLE_299826 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_299827 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_299828 tptp.nat)) (= (ll_2750 BOUND_VARIABLE_299825 BOUND_VARIABLE_299826 BOUND_VARIABLE_299827 BOUND_VARIABLE_299828) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299828)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3842 BOUND_VARIABLE_299825) BOUND_VARIABLE_299826) BOUND_VARIABLE_299827)) tptp.top_top_set_o))))))) (let ((_let_17221 (forall ((BOUND_VARIABLE_299809 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299810 Bool) (BOUND_VARIABLE_299811 tptp.set_o) (BOUND_VARIABLE_299812 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299812)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_299809) (@ (@ tptp.insert_o BOUND_VARIABLE_299810) BOUND_VARIABLE_299811)))) (ll_2749 BOUND_VARIABLE_299809 BOUND_VARIABLE_299810 BOUND_VARIABLE_299811 BOUND_VARIABLE_299812))))) (let ((_let_17222 (forall ((BOUND_VARIABLE_299761 Bool) (BOUND_VARIABLE_299762 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299763 tptp.set_o) (BOUND_VARIABLE_299764 tptp.nat)) (= (ll_2748 BOUND_VARIABLE_299761 BOUND_VARIABLE_299762 BOUND_VARIABLE_299763 BOUND_VARIABLE_299764) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299764)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3841 BOUND_VARIABLE_299761) BOUND_VARIABLE_299762) BOUND_VARIABLE_299763)) tptp.top_top_set_o))))))) (let ((_let_17223 (forall ((BOUND_VARIABLE_299745 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_299746 tptp.product_unit) (BOUND_VARIABLE_299747 tptp.set_Product_unit) (BOUND_VARIABLE_299748 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299748)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_299745) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_299746) BOUND_VARIABLE_299747)))) (ll_2747 BOUND_VARIABLE_299745 BOUND_VARIABLE_299746 BOUND_VARIABLE_299747 BOUND_VARIABLE_299748))))) (let ((_let_17224 (forall ((BOUND_VARIABLE_299697 tptp.product_unit) (BOUND_VARIABLE_299698 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_299699 tptp.set_Product_unit) (BOUND_VARIABLE_299700 tptp.nat)) (= (ll_2746 BOUND_VARIABLE_299697 BOUND_VARIABLE_299698 BOUND_VARIABLE_299699 BOUND_VARIABLE_299700) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299700)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3840 BOUND_VARIABLE_299697) BOUND_VARIABLE_299698) BOUND_VARIABLE_299699)) tptp.top_top_set_o))))))) (let ((_let_17225 (forall ((BOUND_VARIABLE_299681 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_299682 tptp.nat) (BOUND_VARIABLE_299683 tptp.set_nat) (BOUND_VARIABLE_299684 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299684)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_299681) (@ (@ tptp.insert_nat BOUND_VARIABLE_299682) BOUND_VARIABLE_299683)))) (ll_2745 BOUND_VARIABLE_299681 BOUND_VARIABLE_299682 BOUND_VARIABLE_299683 BOUND_VARIABLE_299684))))) (let ((_let_17226 (forall ((BOUND_VARIABLE_299633 tptp.nat) (BOUND_VARIABLE_299634 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_299635 tptp.set_nat) (BOUND_VARIABLE_299636 tptp.nat)) (= (ll_2744 BOUND_VARIABLE_299633 BOUND_VARIABLE_299634 BOUND_VARIABLE_299635 BOUND_VARIABLE_299636) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299636)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3839 BOUND_VARIABLE_299633) BOUND_VARIABLE_299634) BOUND_VARIABLE_299635)) tptp.top_top_set_o))))))) (let ((_let_17227 (forall ((BOUND_VARIABLE_299589 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_299590 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_299591 tptp.produc3843707927480180839at_nat)) (= (ll_2743 BOUND_VARIABLE_299589 BOUND_VARIABLE_299590 BOUND_VARIABLE_299591) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_299591)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3838 BOUND_VARIABLE_299589) BOUND_VARIABLE_299590)) tptp.top_top_set_o))))))) (let ((_let_17228 (forall ((BOUND_VARIABLE_299571 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_299572 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299573 Bool)) (= (ll_2742 BOUND_VARIABLE_299571 BOUND_VARIABLE_299572 BOUND_VARIABLE_299573) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299573) BOUND_VARIABLE_299571) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_299572) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17229 (forall ((BOUND_VARIABLE_299527 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_299528 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_299529 tptp.produc3843707927480180839at_nat)) (= (ll_2741 BOUND_VARIABLE_299527 BOUND_VARIABLE_299528 BOUND_VARIABLE_299529) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_299529)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3837 BOUND_VARIABLE_299527) BOUND_VARIABLE_299528)) tptp.top_top_set_o))))))) (let ((_let_17230 (forall ((BOUND_VARIABLE_299509 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_299510 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299511 Bool)) (= (ll_2740 BOUND_VARIABLE_299509 BOUND_VARIABLE_299510 BOUND_VARIABLE_299511) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299511) BOUND_VARIABLE_299509) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_299510) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17231 (forall ((BOUND_VARIABLE_299496 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_299497 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299498 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299498) BOUND_VARIABLE_299496) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_299497) tptp.bot_bot_set_o))) (ll_2739 BOUND_VARIABLE_299496 BOUND_VARIABLE_299497 BOUND_VARIABLE_299498))))) (let ((_let_17232 (forall ((BOUND_VARIABLE_299483 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_299484 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_299485 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_299485) BOUND_VARIABLE_299483) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_299484) tptp.bot_bo3957492148770167129t_unit))) (ll_2738 BOUND_VARIABLE_299483 BOUND_VARIABLE_299484 BOUND_VARIABLE_299485))))) (let ((_let_17233 (forall ((BOUND_VARIABLE_299439 tptp.set_nat) (BOUND_VARIABLE_299440 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_299441 tptp.nat)) (= (ll_2737 BOUND_VARIABLE_299439 BOUND_VARIABLE_299440 BOUND_VARIABLE_299441) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299441)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3836 BOUND_VARIABLE_299439) BOUND_VARIABLE_299440)) tptp.top_top_set_o))))))) (let ((_let_17234 (forall ((BOUND_VARIABLE_299395 tptp.set_nat) (BOUND_VARIABLE_299396 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_299397 tptp.nat)) (= (ll_2736 BOUND_VARIABLE_299395 BOUND_VARIABLE_299396 BOUND_VARIABLE_299397) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299397)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3835 BOUND_VARIABLE_299395) BOUND_VARIABLE_299396)) tptp.top_top_set_o))))))) (let ((_let_17235 (forall ((BOUND_VARIABLE_299352 tptp.set_nat) (BOUND_VARIABLE_299353 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299354 tptp.nat)) (= (ll_2735 BOUND_VARIABLE_299352 BOUND_VARIABLE_299353 BOUND_VARIABLE_299354) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299354)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3834 BOUND_VARIABLE_299352) BOUND_VARIABLE_299353)) tptp.top_top_set_o))))))) (let ((_let_17236 (forall ((BOUND_VARIABLE_299308 tptp.set_nat) (BOUND_VARIABLE_299309 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_299310 tptp.nat)) (= (ll_2734 BOUND_VARIABLE_299308 BOUND_VARIABLE_299309 BOUND_VARIABLE_299310) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299310)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3833 BOUND_VARIABLE_299308) BOUND_VARIABLE_299309)) tptp.top_top_set_o))))))) (let ((_let_17237 (forall ((BOUND_VARIABLE_299295 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299296 tptp.set_o) (BOUND_VARIABLE_299297 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299297)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_299295) BOUND_VARIABLE_299296))) (ll_2733 BOUND_VARIABLE_299295 BOUND_VARIABLE_299296 BOUND_VARIABLE_299297))))) (let ((_let_17238 (forall ((BOUND_VARIABLE_299270 (-> tptp.int tptp.int)) (BOUND_VARIABLE_299271 tptp.int) (BOUND_VARIABLE_299272 tptp.nat) (BOUND_VARIABLE_299273 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_299270 BOUND_VARIABLE_299271)))) (= (ll_2732 BOUND_VARIABLE_299270 BOUND_VARIABLE_299271 BOUND_VARIABLE_299272 BOUND_VARIABLE_299273) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_299273)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299272) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17239 (forall ((BOUND_VARIABLE_299245 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_299246 tptp.nat) (BOUND_VARIABLE_299247 tptp.nat) (BOUND_VARIABLE_299248 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_299245 BOUND_VARIABLE_299246)))) (= (ll_2731 BOUND_VARIABLE_299245 BOUND_VARIABLE_299246 BOUND_VARIABLE_299247 BOUND_VARIABLE_299248) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_299248)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299247) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17240 (forall ((BOUND_VARIABLE_299220 (-> Bool tptp.int)) (BOUND_VARIABLE_299221 Bool) (BOUND_VARIABLE_299222 tptp.nat) (BOUND_VARIABLE_299223 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_299220 BOUND_VARIABLE_299221)))) (= (ll_2730 BOUND_VARIABLE_299220 BOUND_VARIABLE_299221 BOUND_VARIABLE_299222 BOUND_VARIABLE_299223) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_299223)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299222) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17241 (forall ((BOUND_VARIABLE_299207 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299208 tptp.set_o) (BOUND_VARIABLE_299209 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299209)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_299207) BOUND_VARIABLE_299208))) (ll_2729 BOUND_VARIABLE_299207 BOUND_VARIABLE_299208 BOUND_VARIABLE_299209))))) (let ((_let_17242 (forall ((BOUND_VARIABLE_299184 tptp.int) (BOUND_VARIABLE_299185 tptp.nat) (BOUND_VARIABLE_299186 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_299184))) (= (ll_2728 BOUND_VARIABLE_299184 BOUND_VARIABLE_299185 BOUND_VARIABLE_299186) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_299186)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299185) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17243 (forall ((BOUND_VARIABLE_299161 tptp.int) (BOUND_VARIABLE_299162 tptp.nat) (BOUND_VARIABLE_299163 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_299161))) (= (ll_2727 BOUND_VARIABLE_299161 BOUND_VARIABLE_299162 BOUND_VARIABLE_299163) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_299163)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299162) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17244 (forall ((BOUND_VARIABLE_299138 tptp.int) (BOUND_VARIABLE_299139 tptp.nat) (BOUND_VARIABLE_299140 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_299138))) (= (ll_2726 BOUND_VARIABLE_299138 BOUND_VARIABLE_299139 BOUND_VARIABLE_299140) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_299140)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299139) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17245 (forall ((BOUND_VARIABLE_299125 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299126 tptp.set_o) (BOUND_VARIABLE_299127 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299127)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_299125) BOUND_VARIABLE_299126))) (ll_2725 BOUND_VARIABLE_299125 BOUND_VARIABLE_299126 BOUND_VARIABLE_299127))))) (let ((_let_17246 (forall ((BOUND_VARIABLE_299090 (-> tptp.int tptp.int)) (BOUND_VARIABLE_299091 tptp.set_int) (BOUND_VARIABLE_299092 tptp.nat) (BOUND_VARIABLE_299093 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_299090) BOUND_VARIABLE_299091))))))) (= (ll_2724 BOUND_VARIABLE_299090 BOUND_VARIABLE_299091 BOUND_VARIABLE_299092 BOUND_VARIABLE_299093) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_299093)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299092) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17247 (forall ((BOUND_VARIABLE_299055 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_299056 tptp.set_nat) (BOUND_VARIABLE_299057 tptp.nat) (BOUND_VARIABLE_299058 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_nat_int BOUND_VARIABLE_299055) BOUND_VARIABLE_299056))))))) (= (ll_2723 BOUND_VARIABLE_299055 BOUND_VARIABLE_299056 BOUND_VARIABLE_299057 BOUND_VARIABLE_299058) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_299058)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299057) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17248 (forall ((BOUND_VARIABLE_299020 (-> Bool tptp.int)) (BOUND_VARIABLE_299021 tptp.set_o) (BOUND_VARIABLE_299022 tptp.nat) (BOUND_VARIABLE_299023 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_o_int BOUND_VARIABLE_299020) BOUND_VARIABLE_299021))))))) (= (ll_2722 BOUND_VARIABLE_299020 BOUND_VARIABLE_299021 BOUND_VARIABLE_299022 BOUND_VARIABLE_299023) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_299023)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_299022) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17249 (forall ((BOUND_VARIABLE_299007 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_299008 tptp.set_o) (BOUND_VARIABLE_299009 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_299009)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_299007) BOUND_VARIABLE_299008))) (ll_2721 BOUND_VARIABLE_299007 BOUND_VARIABLE_299008 BOUND_VARIABLE_299009))))) (let ((_let_17250 (forall ((BOUND_VARIABLE_298982 (-> tptp.int tptp.int)) (BOUND_VARIABLE_298983 tptp.int) (BOUND_VARIABLE_298984 tptp.nat) (BOUND_VARIABLE_298985 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_298982 BOUND_VARIABLE_298983)))) (= (ll_2720 BOUND_VARIABLE_298982 BOUND_VARIABLE_298983 BOUND_VARIABLE_298984 BOUND_VARIABLE_298985) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_298985)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_298984) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17251 (forall ((BOUND_VARIABLE_298947 (-> tptp.int tptp.int)) (BOUND_VARIABLE_298948 tptp.set_int) (BOUND_VARIABLE_298949 tptp.nat) (BOUND_VARIABLE_298950 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_298947) BOUND_VARIABLE_298948))))))) (= (ll_2719 BOUND_VARIABLE_298947 BOUND_VARIABLE_298948 BOUND_VARIABLE_298949 BOUND_VARIABLE_298950) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_298950)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_298949) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17252 (forall ((BOUND_VARIABLE_298922 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_298923 tptp.nat) (BOUND_VARIABLE_298924 tptp.nat) (BOUND_VARIABLE_298925 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_298922 BOUND_VARIABLE_298923)))) (= (ll_2718 BOUND_VARIABLE_298922 BOUND_VARIABLE_298923 BOUND_VARIABLE_298924 BOUND_VARIABLE_298925) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_298925)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_298924) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17253 (forall ((BOUND_VARIABLE_298887 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_298888 tptp.set_nat) (BOUND_VARIABLE_298889 tptp.nat) (BOUND_VARIABLE_298890 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_nat_int BOUND_VARIABLE_298887) BOUND_VARIABLE_298888))))))) (= (ll_2717 BOUND_VARIABLE_298887 BOUND_VARIABLE_298888 BOUND_VARIABLE_298889 BOUND_VARIABLE_298890) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_298890)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_298889) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17254 (forall ((BOUND_VARIABLE_298862 (-> Bool tptp.int)) (BOUND_VARIABLE_298863 Bool) (BOUND_VARIABLE_298864 tptp.nat) (BOUND_VARIABLE_298865 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_298862 BOUND_VARIABLE_298863)))) (= (ll_2716 BOUND_VARIABLE_298862 BOUND_VARIABLE_298863 BOUND_VARIABLE_298864 BOUND_VARIABLE_298865) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_298865)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_298864) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17255 (forall ((BOUND_VARIABLE_298827 (-> Bool tptp.int)) (BOUND_VARIABLE_298828 tptp.set_o) (BOUND_VARIABLE_298829 tptp.nat) (BOUND_VARIABLE_298830 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (let ((_let_2 (@ tptp.rep_Integ (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_o_int BOUND_VARIABLE_298827) BOUND_VARIABLE_298828))))))) (= (ll_2715 BOUND_VARIABLE_298827 BOUND_VARIABLE_298828 BOUND_VARIABLE_298829 BOUND_VARIABLE_298830) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_2)) BOUND_VARIABLE_298830)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_298829) (@ tptp.product_snd_nat_nat _let_2))))))))) (let ((_let_17256 (forall ((BOUND_VARIABLE_298817 tptp.set_set_nat) (BOUND_VARIABLE_298818 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298818)) BOUND_VARIABLE_298817)) (ll_2714 BOUND_VARIABLE_298817 BOUND_VARIABLE_298818))))) (let ((_let_17257 (forall ((BOUND_VARIABLE_298790 tptp.set_nat) (BOUND_VARIABLE_298791 tptp.set_set_nat) (BOUND_VARIABLE_298792 tptp.nat)) (= (ll_2713 BOUND_VARIABLE_298790 BOUND_VARIABLE_298791 BOUND_VARIABLE_298792) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298792)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3832 BOUND_VARIABLE_298790)) BOUND_VARIABLE_298791))))))) (let ((_let_17258 (forall ((BOUND_VARIABLE_298780 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298781 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298781)) BOUND_VARIABLE_298780)) (ll_2712 BOUND_VARIABLE_298780 BOUND_VARIABLE_298781))))) (let ((_let_17259 (forall ((BOUND_VARIABLE_298753 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298754 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298755 tptp.product_prod_nat_nat)) (= (ll_2711 BOUND_VARIABLE_298753 BOUND_VARIABLE_298754 BOUND_VARIABLE_298755) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298755)) (@ (@ tptp.image_3684629450409544005at_nat (@ ll_3831 BOUND_VARIABLE_298753)) BOUND_VARIABLE_298754))))))) (let ((_let_17260 (forall ((BOUND_VARIABLE_298744 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298744)) tptp.bot_bot_set_set_nat)) (ll_2710 BOUND_VARIABLE_298744))))) (let ((_let_17261 (forall ((BOUND_VARIABLE_298734 tptp.set_set_nat) (BOUND_VARIABLE_298735 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298735)) BOUND_VARIABLE_298734)) (ll_2709 BOUND_VARIABLE_298734 BOUND_VARIABLE_298735))))) (let ((_let_17262 (forall ((BOUND_VARIABLE_298720 tptp.set_nat) (BOUND_VARIABLE_298721 tptp.set_set_nat) (BOUND_VARIABLE_298722 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298722)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.inf_inf_set_nat BOUND_VARIABLE_298720)) BOUND_VARIABLE_298721))) (ll_2708 BOUND_VARIABLE_298720 BOUND_VARIABLE_298721 BOUND_VARIABLE_298722))))) (let ((_let_17263 (forall ((BOUND_VARIABLE_298711 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298711)) tptp.bot_bo3083307316010499117at_nat)) (ll_2707 BOUND_VARIABLE_298711))))) (let ((_let_17264 (forall ((BOUND_VARIABLE_298701 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298702 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298702)) BOUND_VARIABLE_298701)) (ll_2706 BOUND_VARIABLE_298701 BOUND_VARIABLE_298702))))) (let ((_let_17265 (forall ((BOUND_VARIABLE_298687 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298688 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298689 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298689)) (@ (@ tptp.image_3684629450409544005at_nat (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_298687)) BOUND_VARIABLE_298688))) (ll_2705 BOUND_VARIABLE_298687 BOUND_VARIABLE_298688 BOUND_VARIABLE_298689))))) (let ((_let_17266 (forall ((BOUND_VARIABLE_298648 tptp.set_nat) (BOUND_VARIABLE_298649 tptp.set_set_nat) (BOUND_VARIABLE_298650 tptp.nat)) (= (ll_2704 BOUND_VARIABLE_298648 BOUND_VARIABLE_298649 BOUND_VARIABLE_298650) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298650)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3830 BOUND_VARIABLE_298648) BOUND_VARIABLE_298649)) tptp.top_top_set_o))))))) (let ((_let_17267 (forall ((BOUND_VARIABLE_298605 tptp.set_nat) (BOUND_VARIABLE_298606 tptp.set_set_nat) (BOUND_VARIABLE_298607 tptp.nat)) (= (ll_2703 BOUND_VARIABLE_298605 BOUND_VARIABLE_298606 BOUND_VARIABLE_298607) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298607)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3829 BOUND_VARIABLE_298605)) BOUND_VARIABLE_298606))))))) (let ((_let_17268 (forall ((BOUND_VARIABLE_298566 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298567 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_298568 tptp.produc3843707927480180839at_nat)) (= (ll_2702 BOUND_VARIABLE_298566 BOUND_VARIABLE_298567 BOUND_VARIABLE_298568) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_298568)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3828 BOUND_VARIABLE_298566) BOUND_VARIABLE_298567)) tptp.top_top_set_o))))))) (let ((_let_17269 (forall ((BOUND_VARIABLE_298523 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298524 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_298525 tptp.produc3843707927480180839at_nat)) (= (ll_2701 BOUND_VARIABLE_298523 BOUND_VARIABLE_298524 BOUND_VARIABLE_298525) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_298525)) (@ (@ tptp.image_4303274092540115909at_nat (@ ll_3827 BOUND_VARIABLE_298523)) BOUND_VARIABLE_298524))))))) (let ((_let_17270 (forall ((BOUND_VARIABLE_298512 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_298513 tptp.set_se6425085446898223655at_nat) (BOUND_VARIABLE_298514 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_298514) BOUND_VARIABLE_298512) (@ tptp.comple6332534001959699150at_nat BOUND_VARIABLE_298513)) (ll_2700 BOUND_VARIABLE_298512 BOUND_VARIABLE_298513 BOUND_VARIABLE_298514))))) (let ((_let_17271 (forall ((BOUND_VARIABLE_298486 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_298487 tptp.set_Pr8693737435421807431at_nat)) (= (ll_2699 BOUND_VARIABLE_298486 BOUND_VARIABLE_298487) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3826 BOUND_VARIABLE_298486) BOUND_VARIABLE_298487)) tptp.top_top_set_o)))))) (let ((_let_17272 (forall ((BOUND_VARIABLE_298476 tptp.set_set_nat) (BOUND_VARIABLE_298477 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298477)) BOUND_VARIABLE_298476)) (ll_2698 BOUND_VARIABLE_298476 BOUND_VARIABLE_298477))))) (let ((_let_17273 (forall ((BOUND_VARIABLE_298462 tptp.set_nat) (BOUND_VARIABLE_298463 tptp.set_set_nat) (BOUND_VARIABLE_298464 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298464)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.inf_inf_set_nat BOUND_VARIABLE_298462)) BOUND_VARIABLE_298463))) (ll_2697 BOUND_VARIABLE_298462 BOUND_VARIABLE_298463 BOUND_VARIABLE_298464))))) (let ((_let_17274 (forall ((BOUND_VARIABLE_298452 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298453 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298453)) BOUND_VARIABLE_298452)) (ll_2696 BOUND_VARIABLE_298452 BOUND_VARIABLE_298453))))) (let ((_let_17275 (forall ((BOUND_VARIABLE_298438 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298439 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298440 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298440)) (@ (@ tptp.image_3684629450409544005at_nat (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_298438)) BOUND_VARIABLE_298439))) (ll_2695 BOUND_VARIABLE_298438 BOUND_VARIABLE_298439 BOUND_VARIABLE_298440))))) (let ((_let_17276 (forall ((BOUND_VARIABLE_298428 tptp.set_set_nat) (BOUND_VARIABLE_298429 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298429)) BOUND_VARIABLE_298428)) (ll_2694 BOUND_VARIABLE_298428 BOUND_VARIABLE_298429))))) (let ((_let_17277 (forall ((BOUND_VARIABLE_298401 tptp.set_nat) (BOUND_VARIABLE_298402 tptp.set_set_nat) (BOUND_VARIABLE_298403 tptp.nat)) (= (ll_2693 BOUND_VARIABLE_298401 BOUND_VARIABLE_298402 BOUND_VARIABLE_298403) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298403)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3825 BOUND_VARIABLE_298401)) BOUND_VARIABLE_298402))))))) (let ((_let_17278 (forall ((BOUND_VARIABLE_298391 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298392 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298392)) BOUND_VARIABLE_298391)) (ll_2692 BOUND_VARIABLE_298391 BOUND_VARIABLE_298392))))) (let ((_let_17279 (forall ((BOUND_VARIABLE_298364 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298365 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_298366 tptp.product_prod_nat_nat)) (= (ll_2691 BOUND_VARIABLE_298364 BOUND_VARIABLE_298365 BOUND_VARIABLE_298366) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298366)) (@ (@ tptp.image_3684629450409544005at_nat (@ ll_3824 BOUND_VARIABLE_298364)) BOUND_VARIABLE_298365))))))) (let ((_let_17280 (forall ((BOUND_VARIABLE_298351 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_298352 tptp.set_int) (BOUND_VARIABLE_298353 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298353)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_298351) BOUND_VARIABLE_298352))) (ll_2690 BOUND_VARIABLE_298351 BOUND_VARIABLE_298352 BOUND_VARIABLE_298353))))) (let ((_let_17281 (forall ((BOUND_VARIABLE_298338 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_298339 tptp.set_nat) (BOUND_VARIABLE_298340 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298340)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_298338) BOUND_VARIABLE_298339))) (ll_2689 BOUND_VARIABLE_298338 BOUND_VARIABLE_298339 BOUND_VARIABLE_298340))))) (let ((_let_17282 (forall ((BOUND_VARIABLE_298325 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_298326 tptp.set_o) (BOUND_VARIABLE_298327 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298327)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_298325) BOUND_VARIABLE_298326))) (ll_2688 BOUND_VARIABLE_298325 BOUND_VARIABLE_298326 BOUND_VARIABLE_298327))))) (let ((_let_17283 (forall ((BOUND_VARIABLE_298312 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_298313 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298314 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298314)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_298312) BOUND_VARIABLE_298313))) (ll_2687 BOUND_VARIABLE_298312 BOUND_VARIABLE_298313 BOUND_VARIABLE_298314))))) (let ((_let_17284 (forall ((BOUND_VARIABLE_298299 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_298300 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298301 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298301)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_298299) BOUND_VARIABLE_298300))) (ll_2686 BOUND_VARIABLE_298299 BOUND_VARIABLE_298300 BOUND_VARIABLE_298301))))) (let ((_let_17285 (forall ((BOUND_VARIABLE_298286 (-> tptp.int tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_298287 tptp.set_int) (BOUND_VARIABLE_298288 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298288)) (@ (@ tptp.image_8938366415781434990at_nat BOUND_VARIABLE_298286) BOUND_VARIABLE_298287))) (ll_2685 BOUND_VARIABLE_298286 BOUND_VARIABLE_298287 BOUND_VARIABLE_298288))))) (let ((_let_17286 (forall ((BOUND_VARIABLE_298273 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_298274 tptp.set_nat) (BOUND_VARIABLE_298275 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298275)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_298273) BOUND_VARIABLE_298274))) (ll_2684 BOUND_VARIABLE_298273 BOUND_VARIABLE_298274 BOUND_VARIABLE_298275))))) (let ((_let_17287 (forall ((BOUND_VARIABLE_298260 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_298261 tptp.set_o) (BOUND_VARIABLE_298262 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298262)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_298260) BOUND_VARIABLE_298261))) (ll_2683 BOUND_VARIABLE_298260 BOUND_VARIABLE_298261 BOUND_VARIABLE_298262))))) (let ((_let_17288 (forall ((BOUND_VARIABLE_298247 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_298248 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298249 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298249)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_298247) BOUND_VARIABLE_298248))) (ll_2682 BOUND_VARIABLE_298247 BOUND_VARIABLE_298248 BOUND_VARIABLE_298249))))) (let ((_let_17289 (forall ((BOUND_VARIABLE_298234 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_298235 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_298236 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_298236)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_298234) BOUND_VARIABLE_298235))) (ll_2681 BOUND_VARIABLE_298234 BOUND_VARIABLE_298235 BOUND_VARIABLE_298236))))) (let ((_let_17290 (forall ((BOUND_VARIABLE_298221 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_298222 tptp.set_nat) (BOUND_VARIABLE_298223 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_298223)) (@ (@ tptp.image_1087905878993176368at_nat BOUND_VARIABLE_298221) BOUND_VARIABLE_298222))) (ll_2680 BOUND_VARIABLE_298221 BOUND_VARIABLE_298222 BOUND_VARIABLE_298223))))) (let ((_let_17291 (forall ((BOUND_VARIABLE_298173 tptp.nat) (BOUND_VARIABLE_298174 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_298175 tptp.set_nat) (BOUND_VARIABLE_298176 tptp.produc3843707927480180839at_nat)) (= (ll_2679 BOUND_VARIABLE_298173 BOUND_VARIABLE_298174 BOUND_VARIABLE_298175 BOUND_VARIABLE_298176) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_298176)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3823 BOUND_VARIABLE_298173) BOUND_VARIABLE_298174) BOUND_VARIABLE_298175)) tptp.top_top_set_o))))))) (let ((_let_17292 (forall ((BOUND_VARIABLE_298160 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_298161 tptp.set_o) (BOUND_VARIABLE_298162 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_298162)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_298160) BOUND_VARIABLE_298161))) (ll_2678 BOUND_VARIABLE_298160 BOUND_VARIABLE_298161 BOUND_VARIABLE_298162))))) (let ((_let_17293 (forall ((BOUND_VARIABLE_298111 Bool) (BOUND_VARIABLE_298112 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_298113 tptp.set_o) (BOUND_VARIABLE_298114 tptp.produc3843707927480180839at_nat)) (= (ll_2677 BOUND_VARIABLE_298111 BOUND_VARIABLE_298112 BOUND_VARIABLE_298113 BOUND_VARIABLE_298114) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_298114)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3822 BOUND_VARIABLE_298111) BOUND_VARIABLE_298112) BOUND_VARIABLE_298113)) tptp.top_top_set_o))))))) (let ((_let_17294 (forall ((BOUND_VARIABLE_298096 tptp.product_prod_nat_nat) (BOUND_VARIABLE_298097 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_298098 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298099 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_298099) (@ BOUND_VARIABLE_298097 BOUND_VARIABLE_298096)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_298097) BOUND_VARIABLE_298098))) (ll_2676 BOUND_VARIABLE_298096 BOUND_VARIABLE_298097 BOUND_VARIABLE_298098 BOUND_VARIABLE_298099))))) (let ((_let_17295 (forall ((BOUND_VARIABLE_298081 tptp.int) (BOUND_VARIABLE_298082 (-> tptp.int tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_298083 tptp.set_int) (BOUND_VARIABLE_298084 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_298084) (@ BOUND_VARIABLE_298082 BOUND_VARIABLE_298081)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_525487068563185620at_nat BOUND_VARIABLE_298082) BOUND_VARIABLE_298083))) (ll_2675 BOUND_VARIABLE_298081 BOUND_VARIABLE_298082 BOUND_VARIABLE_298083 BOUND_VARIABLE_298084))))) (let ((_let_17296 (forall ((BOUND_VARIABLE_298066 tptp.nat) (BOUND_VARIABLE_298067 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_298068 tptp.set_nat) (BOUND_VARIABLE_298069 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_298069) (@ BOUND_VARIABLE_298067 BOUND_VARIABLE_298066)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_298067) BOUND_VARIABLE_298068))) (ll_2674 BOUND_VARIABLE_298066 BOUND_VARIABLE_298067 BOUND_VARIABLE_298068 BOUND_VARIABLE_298069))))) (let ((_let_17297 (forall ((BOUND_VARIABLE_298051 Bool) (BOUND_VARIABLE_298052 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_298053 tptp.set_o) (BOUND_VARIABLE_298054 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_298054) (@ BOUND_VARIABLE_298052 BOUND_VARIABLE_298051)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_298052) BOUND_VARIABLE_298053))) (ll_2673 BOUND_VARIABLE_298051 BOUND_VARIABLE_298052 BOUND_VARIABLE_298053 BOUND_VARIABLE_298054))))) (let ((_let_17298 (forall ((BOUND_VARIABLE_298038 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_298039 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_298040 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_298040)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_298038) BOUND_VARIABLE_298039))) (ll_2672 BOUND_VARIABLE_298038 BOUND_VARIABLE_298039 BOUND_VARIABLE_298040))))) (let ((_let_17299 (forall ((BOUND_VARIABLE_297990 tptp.product_prod_nat_nat) (BOUND_VARIABLE_297991 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_297992 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297993 tptp.nat)) (= (ll_2671 BOUND_VARIABLE_297990 BOUND_VARIABLE_297991 BOUND_VARIABLE_297992 BOUND_VARIABLE_297993) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297993)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3821 BOUND_VARIABLE_297990) BOUND_VARIABLE_297991) BOUND_VARIABLE_297992)) tptp.top_top_set_o))))))) (let ((_let_17300 (forall ((BOUND_VARIABLE_297977 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_297978 tptp.set_int) (BOUND_VARIABLE_297979 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297979)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_297977) BOUND_VARIABLE_297978))) (ll_2670 BOUND_VARIABLE_297977 BOUND_VARIABLE_297978 BOUND_VARIABLE_297979))))) (let ((_let_17301 (forall ((BOUND_VARIABLE_297929 tptp.int) (BOUND_VARIABLE_297930 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_297931 tptp.set_int) (BOUND_VARIABLE_297932 tptp.nat)) (= (ll_2669 BOUND_VARIABLE_297929 BOUND_VARIABLE_297930 BOUND_VARIABLE_297931 BOUND_VARIABLE_297932) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297932)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3820 BOUND_VARIABLE_297929) BOUND_VARIABLE_297930) BOUND_VARIABLE_297931)) tptp.top_top_set_o))))))) (let ((_let_17302 (forall ((BOUND_VARIABLE_297916 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_297917 tptp.set_nat) (BOUND_VARIABLE_297918 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297918)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_297916) BOUND_VARIABLE_297917))) (ll_2668 BOUND_VARIABLE_297916 BOUND_VARIABLE_297917 BOUND_VARIABLE_297918))))) (let ((_let_17303 (forall ((BOUND_VARIABLE_297868 tptp.nat) (BOUND_VARIABLE_297869 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_297870 tptp.set_nat) (BOUND_VARIABLE_297871 tptp.nat)) (= (ll_2667 BOUND_VARIABLE_297868 BOUND_VARIABLE_297869 BOUND_VARIABLE_297870 BOUND_VARIABLE_297871) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297871)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3819 BOUND_VARIABLE_297868) BOUND_VARIABLE_297869) BOUND_VARIABLE_297870)) tptp.top_top_set_o))))))) (let ((_let_17304 (forall ((BOUND_VARIABLE_297855 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_297856 tptp.set_o) (BOUND_VARIABLE_297857 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297857)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_297855) BOUND_VARIABLE_297856))) (ll_2666 BOUND_VARIABLE_297855 BOUND_VARIABLE_297856 BOUND_VARIABLE_297857))))) (let ((_let_17305 (forall ((BOUND_VARIABLE_297807 Bool) (BOUND_VARIABLE_297808 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_297809 tptp.set_o) (BOUND_VARIABLE_297810 tptp.nat)) (= (ll_2665 BOUND_VARIABLE_297807 BOUND_VARIABLE_297808 BOUND_VARIABLE_297809 BOUND_VARIABLE_297810) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297810)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3818 BOUND_VARIABLE_297807) BOUND_VARIABLE_297808) BOUND_VARIABLE_297809)) tptp.top_top_set_o))))))) (let ((_let_17306 (forall ((BOUND_VARIABLE_297799 tptp.code_integer) (BOUND_VARIABLE_297800 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_297800) BOUND_VARIABLE_297799) (ll_2664 BOUND_VARIABLE_297799 BOUND_VARIABLE_297800))))) (let ((_let_17307 (forall ((BOUND_VARIABLE_297791 tptp.code_integer) (BOUND_VARIABLE_297792 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_297792) BOUND_VARIABLE_297791) (ll_2663 BOUND_VARIABLE_297791 BOUND_VARIABLE_297792))))) (let ((_let_17308 (forall ((BOUND_VARIABLE_297783 tptp.code_integer) (BOUND_VARIABLE_297784 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_297784) BOUND_VARIABLE_297783) (ll_2662 BOUND_VARIABLE_297783 BOUND_VARIABLE_297784))))) (let ((_let_17309 (forall ((BOUND_VARIABLE_297775 tptp.rat) (BOUND_VARIABLE_297776 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_297776) BOUND_VARIABLE_297775) (ll_2661 BOUND_VARIABLE_297775 BOUND_VARIABLE_297776))))) (let ((_let_17310 (forall ((BOUND_VARIABLE_297767 tptp.rat) (BOUND_VARIABLE_297768 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_297768) BOUND_VARIABLE_297767) (ll_2660 BOUND_VARIABLE_297767 BOUND_VARIABLE_297768))))) (let ((_let_17311 (forall ((BOUND_VARIABLE_297759 tptp.rat) (BOUND_VARIABLE_297760 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_297760) BOUND_VARIABLE_297759) (ll_2659 BOUND_VARIABLE_297759 BOUND_VARIABLE_297760))))) (let ((_let_17312 (forall ((BOUND_VARIABLE_297747 tptp.int) (BOUND_VARIABLE_297748 tptp.int)) (= (ll_2658 BOUND_VARIABLE_297747 BOUND_VARIABLE_297748) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_297748) BOUND_VARIABLE_297747))))) (let ((_let_17313 (forall ((BOUND_VARIABLE_297735 tptp.int) (BOUND_VARIABLE_297736 tptp.int)) (= (ll_2657 BOUND_VARIABLE_297735 BOUND_VARIABLE_297736) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_297736) BOUND_VARIABLE_297735))))) (let ((_let_17314 (forall ((BOUND_VARIABLE_297723 tptp.int) (BOUND_VARIABLE_297724 tptp.int)) (= (ll_2656 BOUND_VARIABLE_297723 BOUND_VARIABLE_297724) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_297724) BOUND_VARIABLE_297723))))) (let ((_let_17315 (forall ((BOUND_VARIABLE_297710 (-> tptp.int tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_297711 tptp.set_int) (BOUND_VARIABLE_297712 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_297712)) (@ (@ tptp.image_8938366415781434990at_nat BOUND_VARIABLE_297710) BOUND_VARIABLE_297711))) (ll_2655 BOUND_VARIABLE_297710 BOUND_VARIABLE_297711 BOUND_VARIABLE_297712))))) (let ((_let_17316 (forall ((BOUND_VARIABLE_297697 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_297698 tptp.set_nat) (BOUND_VARIABLE_297699 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_297699)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_297697) BOUND_VARIABLE_297698))) (ll_2654 BOUND_VARIABLE_297697 BOUND_VARIABLE_297698 BOUND_VARIABLE_297699))))) (let ((_let_17317 (forall ((BOUND_VARIABLE_297684 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_297685 tptp.set_o) (BOUND_VARIABLE_297686 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_297686)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_297684) BOUND_VARIABLE_297685))) (ll_2653 BOUND_VARIABLE_297684 BOUND_VARIABLE_297685 BOUND_VARIABLE_297686))))) (let ((_let_17318 (forall ((BOUND_VARIABLE_297671 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_297672 tptp.set_int) (BOUND_VARIABLE_297673 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297673)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_297671) BOUND_VARIABLE_297672))) (ll_2652 BOUND_VARIABLE_297671 BOUND_VARIABLE_297672 BOUND_VARIABLE_297673))))) (let ((_let_17319 (forall ((BOUND_VARIABLE_297658 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_297659 tptp.set_nat) (BOUND_VARIABLE_297660 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297660)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_297658) BOUND_VARIABLE_297659))) (ll_2651 BOUND_VARIABLE_297658 BOUND_VARIABLE_297659 BOUND_VARIABLE_297660))))) (let ((_let_17320 (forall ((BOUND_VARIABLE_297645 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_297646 tptp.set_o) (BOUND_VARIABLE_297647 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297647)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_297645) BOUND_VARIABLE_297646))) (ll_2650 BOUND_VARIABLE_297645 BOUND_VARIABLE_297646 BOUND_VARIABLE_297647))))) (let ((_let_17321 (forall ((BOUND_VARIABLE_297605 tptp.set_set_nat) (BOUND_VARIABLE_297606 tptp.set_nat) (BOUND_VARIABLE_297607 tptp.nat)) (= (ll_2649 BOUND_VARIABLE_297605 BOUND_VARIABLE_297606 BOUND_VARIABLE_297607) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297607)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3817 BOUND_VARIABLE_297605) BOUND_VARIABLE_297606)) tptp.top_top_set_o))))))) (let ((_let_17322 (forall ((BOUND_VARIABLE_297564 tptp.set_nat) (BOUND_VARIABLE_297565 tptp.set_set_nat) (BOUND_VARIABLE_297566 tptp.nat)) (= (ll_2648 BOUND_VARIABLE_297564 BOUND_VARIABLE_297565 BOUND_VARIABLE_297566) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297566)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3816 BOUND_VARIABLE_297564)) BOUND_VARIABLE_297565))))))) (let ((_let_17323 (forall ((BOUND_VARIABLE_297524 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_297525 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_297526 tptp.produc3843707927480180839at_nat)) (= (ll_2647 BOUND_VARIABLE_297524 BOUND_VARIABLE_297525 BOUND_VARIABLE_297526) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_297526)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3815 BOUND_VARIABLE_297524) BOUND_VARIABLE_297525)) tptp.top_top_set_o))))))) (let ((_let_17324 (forall ((BOUND_VARIABLE_297483 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_297484 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_297485 tptp.produc3843707927480180839at_nat)) (= (ll_2646 BOUND_VARIABLE_297483 BOUND_VARIABLE_297484 BOUND_VARIABLE_297485) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_297485)) (@ (@ tptp.image_4303274092540115909at_nat (@ ll_3814 BOUND_VARIABLE_297483)) BOUND_VARIABLE_297484))))))) (let ((_let_17325 (forall ((BOUND_VARIABLE_297472 tptp.set_se6425085446898223655at_nat) (BOUND_VARIABLE_297473 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_297474 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_297474) (@ tptp.comple6332534001959699150at_nat BOUND_VARIABLE_297472)) BOUND_VARIABLE_297473) (ll_2645 BOUND_VARIABLE_297472 BOUND_VARIABLE_297473 BOUND_VARIABLE_297474))))) (let ((_let_17326 (forall ((BOUND_VARIABLE_297446 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_297447 tptp.set_Pr8693737435421807431at_nat)) (= (ll_2644 BOUND_VARIABLE_297446 BOUND_VARIABLE_297447) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3813 BOUND_VARIABLE_297447) BOUND_VARIABLE_297446)) tptp.top_top_set_o)))))) (let ((_let_17327 (forall ((BOUND_VARIABLE_297436 tptp.set_set_nat) (BOUND_VARIABLE_297437 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297437)) BOUND_VARIABLE_297436)) (ll_2643 BOUND_VARIABLE_297436 BOUND_VARIABLE_297437))))) (let ((_let_17328 (forall ((BOUND_VARIABLE_297409 tptp.set_nat) (BOUND_VARIABLE_297410 tptp.set_set_nat) (BOUND_VARIABLE_297411 tptp.nat)) (= (ll_2642 BOUND_VARIABLE_297409 BOUND_VARIABLE_297410 BOUND_VARIABLE_297411) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297411)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3812 BOUND_VARIABLE_297409)) BOUND_VARIABLE_297410))))))) (let ((_let_17329 (forall ((BOUND_VARIABLE_297399 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_297400 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_297400)) BOUND_VARIABLE_297399)) (ll_2641 BOUND_VARIABLE_297399 BOUND_VARIABLE_297400))))) (let ((_let_17330 (forall ((BOUND_VARIABLE_297372 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297373 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_297374 tptp.product_prod_nat_nat)) (= (ll_2640 BOUND_VARIABLE_297372 BOUND_VARIABLE_297373 BOUND_VARIABLE_297374) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_297374)) (@ (@ tptp.image_3684629450409544005at_nat (@ ll_3811 BOUND_VARIABLE_297372)) BOUND_VARIABLE_297373))))))) (let ((_let_17331 (forall ((BOUND_VARIABLE_297357 tptp.nat) (BOUND_VARIABLE_297358 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_297359 tptp.set_nat) (BOUND_VARIABLE_297360 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_297360) (@ BOUND_VARIABLE_297358 BOUND_VARIABLE_297357)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_297358) BOUND_VARIABLE_297359))) (ll_2639 BOUND_VARIABLE_297357 BOUND_VARIABLE_297358 BOUND_VARIABLE_297359 BOUND_VARIABLE_297360))))) (let ((_let_17332 (forall ((BOUND_VARIABLE_297342 Bool) (BOUND_VARIABLE_297343 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_297344 tptp.set_o) (BOUND_VARIABLE_297345 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_297345) (@ BOUND_VARIABLE_297343 BOUND_VARIABLE_297342)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_297343) BOUND_VARIABLE_297344))) (ll_2638 BOUND_VARIABLE_297342 BOUND_VARIABLE_297343 BOUND_VARIABLE_297344 BOUND_VARIABLE_297345))))) (let ((_let_17333 (forall ((BOUND_VARIABLE_297329 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_297330 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297331 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297331)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_297329) BOUND_VARIABLE_297330))) (ll_2637 BOUND_VARIABLE_297329 BOUND_VARIABLE_297330 BOUND_VARIABLE_297331))))) (let ((_let_17334 (forall ((BOUND_VARIABLE_297281 tptp.product_prod_nat_nat) (BOUND_VARIABLE_297282 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_297283 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297284 tptp.nat)) (= (ll_2636 BOUND_VARIABLE_297281 BOUND_VARIABLE_297282 BOUND_VARIABLE_297283 BOUND_VARIABLE_297284) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297284)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3810 BOUND_VARIABLE_297281) BOUND_VARIABLE_297282) BOUND_VARIABLE_297283)) tptp.top_top_set_o))))))) (let ((_let_17335 (forall ((BOUND_VARIABLE_297268 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_297269 tptp.set_int) (BOUND_VARIABLE_297270 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297270)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_297268) BOUND_VARIABLE_297269))) (ll_2635 BOUND_VARIABLE_297268 BOUND_VARIABLE_297269 BOUND_VARIABLE_297270))))) (let ((_let_17336 (forall ((BOUND_VARIABLE_297219 tptp.int) (BOUND_VARIABLE_297220 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_297221 tptp.set_int) (BOUND_VARIABLE_297222 tptp.nat)) (= (ll_2634 BOUND_VARIABLE_297219 BOUND_VARIABLE_297220 BOUND_VARIABLE_297221 BOUND_VARIABLE_297222) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297222)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3809 BOUND_VARIABLE_297219) BOUND_VARIABLE_297220) BOUND_VARIABLE_297221)) tptp.top_top_set_o))))))) (let ((_let_17337 (forall ((BOUND_VARIABLE_297206 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_297207 tptp.set_nat) (BOUND_VARIABLE_297208 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297208)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_297206) BOUND_VARIABLE_297207))) (ll_2633 BOUND_VARIABLE_297206 BOUND_VARIABLE_297207 BOUND_VARIABLE_297208))))) (let ((_let_17338 (forall ((BOUND_VARIABLE_297158 tptp.nat) (BOUND_VARIABLE_297159 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_297160 tptp.set_nat) (BOUND_VARIABLE_297161 tptp.nat)) (= (ll_2632 BOUND_VARIABLE_297158 BOUND_VARIABLE_297159 BOUND_VARIABLE_297160 BOUND_VARIABLE_297161) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297161)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3808 BOUND_VARIABLE_297158) BOUND_VARIABLE_297159) BOUND_VARIABLE_297160)) tptp.top_top_set_o))))))) (let ((_let_17339 (forall ((BOUND_VARIABLE_297145 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_297146 tptp.set_o) (BOUND_VARIABLE_297147 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297147)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_297145) BOUND_VARIABLE_297146))) (ll_2631 BOUND_VARIABLE_297145 BOUND_VARIABLE_297146 BOUND_VARIABLE_297147))))) (let ((_let_17340 (forall ((BOUND_VARIABLE_297097 Bool) (BOUND_VARIABLE_297098 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_297099 tptp.set_o) (BOUND_VARIABLE_297100 tptp.nat)) (= (ll_2630 BOUND_VARIABLE_297097 BOUND_VARIABLE_297098 BOUND_VARIABLE_297099 BOUND_VARIABLE_297100) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_297100)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3807 BOUND_VARIABLE_297097) BOUND_VARIABLE_297098) BOUND_VARIABLE_297099)) tptp.top_top_set_o))))))) (let ((_let_17341 (forall ((BOUND_VARIABLE_297089 tptp.nat) (BOUND_VARIABLE_297090 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_297090) BOUND_VARIABLE_297089) (ll_2629 BOUND_VARIABLE_297089 BOUND_VARIABLE_297090))))) (let ((_let_17342 (forall ((BOUND_VARIABLE_297081 tptp.num) (BOUND_VARIABLE_297082 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_297082) BOUND_VARIABLE_297081) (ll_2628 BOUND_VARIABLE_297081 BOUND_VARIABLE_297082))))) (let ((_let_17343 (forall ((BOUND_VARIABLE_297073 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_297074 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_297074) BOUND_VARIABLE_297073) (ll_2627 BOUND_VARIABLE_297073 BOUND_VARIABLE_297074))))) (let ((_let_17344 (forall ((BOUND_VARIABLE_297065 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_297066 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_297066) BOUND_VARIABLE_297065) (ll_2626 BOUND_VARIABLE_297065 BOUND_VARIABLE_297066))))) (let ((_let_17345 (forall ((BOUND_VARIABLE_297028 (-> tptp.int tptp.rat)) (BOUND_VARIABLE_297029 tptp.int) (BOUND_VARIABLE_297030 tptp.rat) (BOUND_VARIABLE_297031 tptp.nat) (BOUND_VARIABLE_297032 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_297028 BOUND_VARIABLE_297029)))) (@ tptp.product_snd_int_int (@ tptp.quotient_of BOUND_VARIABLE_297030)))))) (= (ll_2625 BOUND_VARIABLE_297028 BOUND_VARIABLE_297029 BOUND_VARIABLE_297030 BOUND_VARIABLE_297031 BOUND_VARIABLE_297032) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_297032)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_297031) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17346 (forall ((BOUND_VARIABLE_296991 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_296992 tptp.nat) (BOUND_VARIABLE_296993 tptp.rat) (BOUND_VARIABLE_296994 tptp.nat) (BOUND_VARIABLE_296995 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296991 BOUND_VARIABLE_296992)))) (@ tptp.product_snd_int_int (@ tptp.quotient_of BOUND_VARIABLE_296993)))))) (= (ll_2624 BOUND_VARIABLE_296991 BOUND_VARIABLE_296992 BOUND_VARIABLE_296993 BOUND_VARIABLE_296994 BOUND_VARIABLE_296995) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296995)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296994) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17347 (forall ((BOUND_VARIABLE_296954 (-> Bool tptp.rat)) (BOUND_VARIABLE_296955 Bool) (BOUND_VARIABLE_296956 tptp.rat) (BOUND_VARIABLE_296957 tptp.nat) (BOUND_VARIABLE_296958 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296954 BOUND_VARIABLE_296955)))) (@ tptp.product_snd_int_int (@ tptp.quotient_of BOUND_VARIABLE_296956)))))) (= (ll_2623 BOUND_VARIABLE_296954 BOUND_VARIABLE_296955 BOUND_VARIABLE_296956 BOUND_VARIABLE_296957 BOUND_VARIABLE_296958) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296958)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296957) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17348 (forall ((BOUND_VARIABLE_296929 (-> tptp.int tptp.int)) (BOUND_VARIABLE_296930 tptp.int) (BOUND_VARIABLE_296931 tptp.nat) (BOUND_VARIABLE_296932 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_296929 BOUND_VARIABLE_296930)))) (= (ll_2622 BOUND_VARIABLE_296929 BOUND_VARIABLE_296930 BOUND_VARIABLE_296931 BOUND_VARIABLE_296932) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296932)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296931) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17349 (forall ((BOUND_VARIABLE_296904 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_296905 tptp.nat) (BOUND_VARIABLE_296906 tptp.nat) (BOUND_VARIABLE_296907 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_296904 BOUND_VARIABLE_296905)))) (= (ll_2621 BOUND_VARIABLE_296904 BOUND_VARIABLE_296905 BOUND_VARIABLE_296906 BOUND_VARIABLE_296907) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296907)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296906) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17350 (forall ((BOUND_VARIABLE_296879 (-> Bool tptp.int)) (BOUND_VARIABLE_296880 Bool) (BOUND_VARIABLE_296881 tptp.nat) (BOUND_VARIABLE_296882 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_296879 BOUND_VARIABLE_296880)))) (= (ll_2620 BOUND_VARIABLE_296879 BOUND_VARIABLE_296880 BOUND_VARIABLE_296881 BOUND_VARIABLE_296882) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296882)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296881) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17351 (forall ((BOUND_VARIABLE_296842 tptp.rat) (BOUND_VARIABLE_296843 (-> tptp.int tptp.rat)) (BOUND_VARIABLE_296844 tptp.int) (BOUND_VARIABLE_296845 tptp.nat) (BOUND_VARIABLE_296846 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of BOUND_VARIABLE_296842))) (@ tptp.product_snd_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296843 BOUND_VARIABLE_296844))))))) (= (ll_2619 BOUND_VARIABLE_296842 BOUND_VARIABLE_296843 BOUND_VARIABLE_296844 BOUND_VARIABLE_296845 BOUND_VARIABLE_296846) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296846)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296845) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17352 (forall ((BOUND_VARIABLE_296805 tptp.rat) (BOUND_VARIABLE_296806 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_296807 tptp.nat) (BOUND_VARIABLE_296808 tptp.nat) (BOUND_VARIABLE_296809 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of BOUND_VARIABLE_296805))) (@ tptp.product_snd_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296806 BOUND_VARIABLE_296807))))))) (= (ll_2618 BOUND_VARIABLE_296805 BOUND_VARIABLE_296806 BOUND_VARIABLE_296807 BOUND_VARIABLE_296808 BOUND_VARIABLE_296809) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296809)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296808) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17353 (forall ((BOUND_VARIABLE_296768 tptp.rat) (BOUND_VARIABLE_296769 (-> Bool tptp.rat)) (BOUND_VARIABLE_296770 Bool) (BOUND_VARIABLE_296771 tptp.nat) (BOUND_VARIABLE_296772 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of BOUND_VARIABLE_296768))) (@ tptp.product_snd_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296769 BOUND_VARIABLE_296770))))))) (= (ll_2617 BOUND_VARIABLE_296768 BOUND_VARIABLE_296769 BOUND_VARIABLE_296770 BOUND_VARIABLE_296771 BOUND_VARIABLE_296772) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296772)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296771) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17354 (forall ((BOUND_VARIABLE_296745 tptp.int) (BOUND_VARIABLE_296746 tptp.nat) (BOUND_VARIABLE_296747 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_296745))) (= (ll_2616 BOUND_VARIABLE_296745 BOUND_VARIABLE_296746 BOUND_VARIABLE_296747) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296747)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296746) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17355 (forall ((BOUND_VARIABLE_296722 tptp.int) (BOUND_VARIABLE_296723 tptp.nat) (BOUND_VARIABLE_296724 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_296722))) (= (ll_2615 BOUND_VARIABLE_296722 BOUND_VARIABLE_296723 BOUND_VARIABLE_296724) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296724)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296723) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17356 (forall ((BOUND_VARIABLE_296699 tptp.int) (BOUND_VARIABLE_296700 tptp.nat) (BOUND_VARIABLE_296701 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_296699))) (= (ll_2614 BOUND_VARIABLE_296699 BOUND_VARIABLE_296700 BOUND_VARIABLE_296701) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296701)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296700) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17357 (forall ((BOUND_VARIABLE_296662 tptp.rat) (BOUND_VARIABLE_296663 (-> tptp.int tptp.rat)) (BOUND_VARIABLE_296664 tptp.int) (BOUND_VARIABLE_296665 tptp.nat) (BOUND_VARIABLE_296666 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of BOUND_VARIABLE_296662))) (@ tptp.product_snd_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296663 BOUND_VARIABLE_296664))))))) (= (ll_2613 BOUND_VARIABLE_296662 BOUND_VARIABLE_296663 BOUND_VARIABLE_296664 BOUND_VARIABLE_296665 BOUND_VARIABLE_296666) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296666)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296665) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17358 (forall ((BOUND_VARIABLE_296625 tptp.rat) (BOUND_VARIABLE_296626 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_296627 tptp.nat) (BOUND_VARIABLE_296628 tptp.nat) (BOUND_VARIABLE_296629 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of BOUND_VARIABLE_296625))) (@ tptp.product_snd_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296626 BOUND_VARIABLE_296627))))))) (= (ll_2612 BOUND_VARIABLE_296625 BOUND_VARIABLE_296626 BOUND_VARIABLE_296627 BOUND_VARIABLE_296628 BOUND_VARIABLE_296629) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296629)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296628) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17359 (forall ((BOUND_VARIABLE_296588 tptp.rat) (BOUND_VARIABLE_296589 (-> Bool tptp.rat)) (BOUND_VARIABLE_296590 Bool) (BOUND_VARIABLE_296591 tptp.nat) (BOUND_VARIABLE_296592 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_2610) (@ tptp.product_fst_int_int (@ tptp.quotient_of BOUND_VARIABLE_296588))) (@ tptp.product_snd_int_int (@ tptp.quotient_of (@ BOUND_VARIABLE_296589 BOUND_VARIABLE_296590))))))) (= (ll_2611 BOUND_VARIABLE_296588 BOUND_VARIABLE_296589 BOUND_VARIABLE_296590 BOUND_VARIABLE_296591 BOUND_VARIABLE_296592) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296592)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296591) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17360 (forall ((BOUND_VARIABLE_296542 tptp.product_prod_nat_nat) (BOUND_VARIABLE_296543 tptp.product_prod_nat_nat)) (= (ll_2610 BOUND_VARIABLE_296542 BOUND_VARIABLE_296543) (@ (@ tptp.produc2626176000494625587at_nat (@ ll_3806 BOUND_VARIABLE_296542)) BOUND_VARIABLE_296543))))) (let ((_let_17361 (forall ((BOUND_VARIABLE_296519 tptp.int) (BOUND_VARIABLE_296520 tptp.nat) (BOUND_VARIABLE_296521 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_296519))) (= (ll_2609 BOUND_VARIABLE_296519 BOUND_VARIABLE_296520 BOUND_VARIABLE_296521) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296521)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296520) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17362 (forall ((BOUND_VARIABLE_296496 tptp.int) (BOUND_VARIABLE_296497 tptp.nat) (BOUND_VARIABLE_296498 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_296496))) (= (ll_2608 BOUND_VARIABLE_296496 BOUND_VARIABLE_296497 BOUND_VARIABLE_296498) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296498)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296497) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17363 (forall ((BOUND_VARIABLE_296473 tptp.int) (BOUND_VARIABLE_296474 tptp.nat) (BOUND_VARIABLE_296475 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_296473))) (= (ll_2607 BOUND_VARIABLE_296473 BOUND_VARIABLE_296474 BOUND_VARIABLE_296475) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_296475)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_296474) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17364 (forall ((BOUND_VARIABLE_296433 tptp.set_nat) (BOUND_VARIABLE_296434 tptp.set_set_nat) (BOUND_VARIABLE_296435 tptp.nat)) (= (ll_2606 BOUND_VARIABLE_296433 BOUND_VARIABLE_296434 BOUND_VARIABLE_296435) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_296435)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3805 BOUND_VARIABLE_296433) BOUND_VARIABLE_296434)) tptp.top_top_set_o))))))) (let ((_let_17365 (forall ((BOUND_VARIABLE_296390 tptp.set_nat) (BOUND_VARIABLE_296391 tptp.set_set_nat) (BOUND_VARIABLE_296392 tptp.nat)) (= (ll_2605 BOUND_VARIABLE_296390 BOUND_VARIABLE_296391 BOUND_VARIABLE_296392) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_296392)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3804 BOUND_VARIABLE_296390)) BOUND_VARIABLE_296391))))))) (let ((_let_17366 (forall ((BOUND_VARIABLE_296350 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_296351 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_296352 tptp.produc3843707927480180839at_nat)) (= (ll_2604 BOUND_VARIABLE_296350 BOUND_VARIABLE_296351 BOUND_VARIABLE_296352) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_296352)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3803 BOUND_VARIABLE_296350) BOUND_VARIABLE_296351)) tptp.top_top_set_o))))))) (let ((_let_17367 (forall ((BOUND_VARIABLE_296307 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_296308 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_296309 tptp.produc3843707927480180839at_nat)) (= (ll_2603 BOUND_VARIABLE_296307 BOUND_VARIABLE_296308 BOUND_VARIABLE_296309) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_296309)) (@ (@ tptp.image_4303274092540115909at_nat (@ ll_3802 BOUND_VARIABLE_296307)) BOUND_VARIABLE_296308))))))) (let ((_let_17368 (forall ((BOUND_VARIABLE_296296 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_296297 tptp.set_se6425085446898223655at_nat) (BOUND_VARIABLE_296298 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_296298) BOUND_VARIABLE_296296) (@ tptp.comple6332534001959699150at_nat BOUND_VARIABLE_296297)) (ll_2602 BOUND_VARIABLE_296296 BOUND_VARIABLE_296297 BOUND_VARIABLE_296298))))) (let ((_let_17369 (forall ((BOUND_VARIABLE_296270 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_296271 tptp.set_Pr8693737435421807431at_nat)) (= (ll_2601 BOUND_VARIABLE_296270 BOUND_VARIABLE_296271) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3801 BOUND_VARIABLE_296270) BOUND_VARIABLE_296271)) tptp.top_top_set_o)))))) (let ((_let_17370 (forall ((BOUND_VARIABLE_296260 tptp.set_set_nat) (BOUND_VARIABLE_296261 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_296261)) BOUND_VARIABLE_296260)) (ll_2600 BOUND_VARIABLE_296260 BOUND_VARIABLE_296261))))) (let ((_let_17371 (forall ((BOUND_VARIABLE_296246 tptp.set_nat) (BOUND_VARIABLE_296247 tptp.set_set_nat) (BOUND_VARIABLE_296248 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_296248)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.inf_inf_set_nat BOUND_VARIABLE_296246)) BOUND_VARIABLE_296247))) (ll_2599 BOUND_VARIABLE_296246 BOUND_VARIABLE_296247 BOUND_VARIABLE_296248))))) (let ((_let_17372 (forall ((BOUND_VARIABLE_296236 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_296237 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_296237)) BOUND_VARIABLE_296236)) (ll_2598 BOUND_VARIABLE_296236 BOUND_VARIABLE_296237))))) (let ((_let_17373 (forall ((BOUND_VARIABLE_296222 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_296223 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_296224 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_296224)) (@ (@ tptp.image_3684629450409544005at_nat (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_296222)) BOUND_VARIABLE_296223))) (ll_2597 BOUND_VARIABLE_296222 BOUND_VARIABLE_296223 BOUND_VARIABLE_296224))))) (let ((_let_17374 (forall ((BOUND_VARIABLE_296213 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296214 (-> tptp.int tptp.int)) (BOUND_VARIABLE_296215 tptp.int)) (= (@ BOUND_VARIABLE_296213 (@ BOUND_VARIABLE_296214 BOUND_VARIABLE_296215)) (ll_2596 BOUND_VARIABLE_296213 BOUND_VARIABLE_296214 BOUND_VARIABLE_296215))))) (let ((_let_17375 (forall ((BOUND_VARIABLE_296204 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_296205 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296206 tptp.int)) (= (@ BOUND_VARIABLE_296204 (@ BOUND_VARIABLE_296205 BOUND_VARIABLE_296206)) (ll_2595 BOUND_VARIABLE_296204 BOUND_VARIABLE_296205 BOUND_VARIABLE_296206))))) (let ((_let_17376 (forall ((BOUND_VARIABLE_296195 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296196 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296197 tptp.nat)) (= (@ BOUND_VARIABLE_296195 (@ BOUND_VARIABLE_296196 BOUND_VARIABLE_296197)) (ll_2594 BOUND_VARIABLE_296195 BOUND_VARIABLE_296196 BOUND_VARIABLE_296197))))) (let ((_let_17377 (forall ((BOUND_VARIABLE_296186 (-> Bool Bool)) (BOUND_VARIABLE_296187 (-> tptp.nat Bool)) (BOUND_VARIABLE_296188 tptp.nat)) (= (@ BOUND_VARIABLE_296186 (@ BOUND_VARIABLE_296187 BOUND_VARIABLE_296188)) (ll_2593 BOUND_VARIABLE_296186 BOUND_VARIABLE_296187 BOUND_VARIABLE_296188))))) (let ((_let_17378 (forall ((BOUND_VARIABLE_296175 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_296176 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_296177 tptp.code_integer) (BOUND_VARIABLE_296178 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_296175 (@ BOUND_VARIABLE_296176 BOUND_VARIABLE_296177)) BOUND_VARIABLE_296178) (ll_2592 BOUND_VARIABLE_296175 BOUND_VARIABLE_296176 BOUND_VARIABLE_296177 BOUND_VARIABLE_296178))))) (let ((_let_17379 (forall ((BOUND_VARIABLE_296166 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296167 (-> tptp.int tptp.int)) (BOUND_VARIABLE_296168 tptp.int)) (= (@ BOUND_VARIABLE_296166 (@ BOUND_VARIABLE_296167 BOUND_VARIABLE_296168)) (ll_2591 BOUND_VARIABLE_296166 BOUND_VARIABLE_296167 BOUND_VARIABLE_296168))))) (let ((_let_17380 (forall ((BOUND_VARIABLE_296157 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_296158 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296159 tptp.int)) (= (@ BOUND_VARIABLE_296157 (@ BOUND_VARIABLE_296158 BOUND_VARIABLE_296159)) (ll_2590 BOUND_VARIABLE_296157 BOUND_VARIABLE_296158 BOUND_VARIABLE_296159))))) (let ((_let_17381 (forall ((BOUND_VARIABLE_296148 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296149 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296150 tptp.nat)) (= (@ BOUND_VARIABLE_296148 (@ BOUND_VARIABLE_296149 BOUND_VARIABLE_296150)) (ll_2589 BOUND_VARIABLE_296148 BOUND_VARIABLE_296149 BOUND_VARIABLE_296150))))) (let ((_let_17382 (forall ((BOUND_VARIABLE_296137 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_296138 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_296139 tptp.code_integer) (BOUND_VARIABLE_296140 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_296137 (@ BOUND_VARIABLE_296138 BOUND_VARIABLE_296139)) BOUND_VARIABLE_296140) (ll_2588 BOUND_VARIABLE_296137 BOUND_VARIABLE_296138 BOUND_VARIABLE_296139 BOUND_VARIABLE_296140))))) (let ((_let_17383 (forall ((BOUND_VARIABLE_296128 (-> Bool Bool)) (BOUND_VARIABLE_296129 (-> tptp.nat Bool)) (BOUND_VARIABLE_296130 tptp.nat)) (= (@ BOUND_VARIABLE_296128 (@ BOUND_VARIABLE_296129 BOUND_VARIABLE_296130)) (ll_2587 BOUND_VARIABLE_296128 BOUND_VARIABLE_296129 BOUND_VARIABLE_296130))))) (let ((_let_17384 (forall ((BOUND_VARIABLE_296119 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296120 (-> tptp.int tptp.int)) (BOUND_VARIABLE_296121 tptp.int)) (= (@ BOUND_VARIABLE_296119 (@ BOUND_VARIABLE_296120 BOUND_VARIABLE_296121)) (ll_2586 BOUND_VARIABLE_296119 BOUND_VARIABLE_296120 BOUND_VARIABLE_296121))))) (let ((_let_17385 (forall ((BOUND_VARIABLE_296110 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_296111 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296112 tptp.int)) (= (@ BOUND_VARIABLE_296110 (@ BOUND_VARIABLE_296111 BOUND_VARIABLE_296112)) (ll_2585 BOUND_VARIABLE_296110 BOUND_VARIABLE_296111 BOUND_VARIABLE_296112))))) (let ((_let_17386 (forall ((BOUND_VARIABLE_296101 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296102 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296103 tptp.nat)) (= (@ BOUND_VARIABLE_296101 (@ BOUND_VARIABLE_296102 BOUND_VARIABLE_296103)) (ll_2584 BOUND_VARIABLE_296101 BOUND_VARIABLE_296102 BOUND_VARIABLE_296103))))) (let ((_let_17387 (forall ((BOUND_VARIABLE_296090 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_296091 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_296092 tptp.code_integer) (BOUND_VARIABLE_296093 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_296090 (@ BOUND_VARIABLE_296091 BOUND_VARIABLE_296092)) BOUND_VARIABLE_296093) (ll_2583 BOUND_VARIABLE_296090 BOUND_VARIABLE_296091 BOUND_VARIABLE_296092 BOUND_VARIABLE_296093))))) (let ((_let_17388 (forall ((BOUND_VARIABLE_296081 (-> Bool Bool)) (BOUND_VARIABLE_296082 (-> tptp.nat Bool)) (BOUND_VARIABLE_296083 tptp.nat)) (= (@ BOUND_VARIABLE_296081 (@ BOUND_VARIABLE_296082 BOUND_VARIABLE_296083)) (ll_2582 BOUND_VARIABLE_296081 BOUND_VARIABLE_296082 BOUND_VARIABLE_296083))))) (let ((_let_17389 (forall ((BOUND_VARIABLE_296072 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296073 (-> tptp.int tptp.int)) (BOUND_VARIABLE_296074 tptp.int)) (= (@ BOUND_VARIABLE_296072 (@ BOUND_VARIABLE_296073 BOUND_VARIABLE_296074)) (ll_2581 BOUND_VARIABLE_296072 BOUND_VARIABLE_296073 BOUND_VARIABLE_296074))))) (let ((_let_17390 (forall ((BOUND_VARIABLE_296063 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_296064 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_296065 tptp.int)) (= (@ BOUND_VARIABLE_296063 (@ BOUND_VARIABLE_296064 BOUND_VARIABLE_296065)) (ll_2580 BOUND_VARIABLE_296063 BOUND_VARIABLE_296064 BOUND_VARIABLE_296065))))) (let ((_let_17391 (forall ((BOUND_VARIABLE_296054 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296055 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_296056 tptp.nat)) (= (@ BOUND_VARIABLE_296054 (@ BOUND_VARIABLE_296055 BOUND_VARIABLE_296056)) (ll_2579 BOUND_VARIABLE_296054 BOUND_VARIABLE_296055 BOUND_VARIABLE_296056))))) (let ((_let_17392 (forall ((BOUND_VARIABLE_296043 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_296044 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_296045 tptp.code_integer) (BOUND_VARIABLE_296046 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_296043 (@ BOUND_VARIABLE_296044 BOUND_VARIABLE_296045)) BOUND_VARIABLE_296046) (ll_2578 BOUND_VARIABLE_296043 BOUND_VARIABLE_296044 BOUND_VARIABLE_296045 BOUND_VARIABLE_296046))))) (let ((_let_17393 (forall ((BOUND_VARIABLE_296034 (-> Bool Bool)) (BOUND_VARIABLE_296035 (-> tptp.nat Bool)) (BOUND_VARIABLE_296036 tptp.nat)) (= (@ BOUND_VARIABLE_296034 (@ BOUND_VARIABLE_296035 BOUND_VARIABLE_296036)) (ll_2577 BOUND_VARIABLE_296034 BOUND_VARIABLE_296035 BOUND_VARIABLE_296036))))) (let ((_let_17394 (forall ((BOUND_VARIABLE_296018 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_296019 tptp.product_unit) (BOUND_VARIABLE_296020 tptp.set_Product_unit) (BOUND_VARIABLE_296021 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_296021)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_296018) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_296019) BOUND_VARIABLE_296020)))) (ll_2576 BOUND_VARIABLE_296018 BOUND_VARIABLE_296019 BOUND_VARIABLE_296020 BOUND_VARIABLE_296021))))) (let ((_let_17395 (forall ((BOUND_VARIABLE_296005 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_296006 tptp.set_Product_unit) (BOUND_VARIABLE_296007 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_296007)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_296005) BOUND_VARIABLE_296006))) (ll_2575 BOUND_VARIABLE_296005 BOUND_VARIABLE_296006 BOUND_VARIABLE_296007))))) (let ((_let_17396 (forall ((BOUND_VARIABLE_295989 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295990 tptp.product_unit) (BOUND_VARIABLE_295991 tptp.set_Product_unit) (BOUND_VARIABLE_295992 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295992)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_295989) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_295990) BOUND_VARIABLE_295991)))) (ll_2574 BOUND_VARIABLE_295989 BOUND_VARIABLE_295990 BOUND_VARIABLE_295991 BOUND_VARIABLE_295992))))) (let ((_let_17397 (forall ((BOUND_VARIABLE_295941 tptp.product_unit) (BOUND_VARIABLE_295942 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295943 tptp.set_Product_unit) (BOUND_VARIABLE_295944 tptp.nat)) (= (ll_2573 BOUND_VARIABLE_295941 BOUND_VARIABLE_295942 BOUND_VARIABLE_295943 BOUND_VARIABLE_295944) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295944)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3800 BOUND_VARIABLE_295941) BOUND_VARIABLE_295942) BOUND_VARIABLE_295943)) tptp.top_top_set_o))))))) (let ((_let_17398 (forall ((BOUND_VARIABLE_295928 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_295929 tptp.set_nat) (BOUND_VARIABLE_295930 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295930)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_295928) BOUND_VARIABLE_295929))) (ll_2572 BOUND_VARIABLE_295928 BOUND_VARIABLE_295929 BOUND_VARIABLE_295930))))) (let ((_let_17399 (forall ((BOUND_VARIABLE_295915 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_295916 tptp.set_nat) (BOUND_VARIABLE_295917 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295917)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_295915) BOUND_VARIABLE_295916))) (ll_2571 BOUND_VARIABLE_295915 BOUND_VARIABLE_295916 BOUND_VARIABLE_295917))))) (let ((_let_17400 (forall ((BOUND_VARIABLE_295902 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295903 tptp.set_o) (BOUND_VARIABLE_295904 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295904)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_295902) BOUND_VARIABLE_295903))) (ll_2570 BOUND_VARIABLE_295902 BOUND_VARIABLE_295903 BOUND_VARIABLE_295904))))) (let ((_let_17401 (forall ((BOUND_VARIABLE_295889 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295890 tptp.set_o) (BOUND_VARIABLE_295891 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295891)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_295889) BOUND_VARIABLE_295890))) (ll_2569 BOUND_VARIABLE_295889 BOUND_VARIABLE_295890 BOUND_VARIABLE_295891))))) (let ((_let_17402 (forall ((BOUND_VARIABLE_295877 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295878 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295878)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_295877) tptp.top_top_set_o))) (ll_2568 BOUND_VARIABLE_295877 BOUND_VARIABLE_295878))))) (let ((_let_17403 (forall ((BOUND_VARIABLE_295865 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295866 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295866)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_295865) tptp.top_top_set_o))) (ll_2567 BOUND_VARIABLE_295865 BOUND_VARIABLE_295866))))) (let ((_let_17404 (forall ((BOUND_VARIABLE_295852 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295853 tptp.set_Product_unit) (BOUND_VARIABLE_295854 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295854)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_295852) BOUND_VARIABLE_295853))) (ll_2566 BOUND_VARIABLE_295852 BOUND_VARIABLE_295853 BOUND_VARIABLE_295854))))) (let ((_let_17405 (forall ((BOUND_VARIABLE_295839 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295840 tptp.set_Product_unit) (BOUND_VARIABLE_295841 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295841)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_295839) BOUND_VARIABLE_295840))) (ll_2565 BOUND_VARIABLE_295839 BOUND_VARIABLE_295840 BOUND_VARIABLE_295841))))) (let ((_let_17406 (forall ((BOUND_VARIABLE_295803 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295804 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295805 tptp.set_Product_unit) (BOUND_VARIABLE_295806 tptp.nat)) (= (ll_2564 BOUND_VARIABLE_295803 BOUND_VARIABLE_295804 BOUND_VARIABLE_295805 BOUND_VARIABLE_295806) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295806)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3799 BOUND_VARIABLE_295803) BOUND_VARIABLE_295804)) BOUND_VARIABLE_295805))))))) (let ((_let_17407 (forall ((BOUND_VARIABLE_295792 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_295793 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_295794 tptp.nat)) (= (@ (@ tptp.inf_inf_int (@ BOUND_VARIABLE_295792 BOUND_VARIABLE_295794)) (@ BOUND_VARIABLE_295793 BOUND_VARIABLE_295794)) (ll_2563 BOUND_VARIABLE_295792 BOUND_VARIABLE_295793 BOUND_VARIABLE_295794))))) (let ((_let_17408 (forall ((BOUND_VARIABLE_295781 (-> Bool tptp.int)) (BOUND_VARIABLE_295782 (-> Bool tptp.int)) (BOUND_VARIABLE_295783 Bool)) (= (@ (@ tptp.inf_inf_int (@ BOUND_VARIABLE_295781 BOUND_VARIABLE_295783)) (@ BOUND_VARIABLE_295782 BOUND_VARIABLE_295783)) (ll_2562 BOUND_VARIABLE_295781 BOUND_VARIABLE_295782 BOUND_VARIABLE_295783))))) (let ((_let_17409 (forall ((BOUND_VARIABLE_295770 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_295771 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_295772 tptp.product_unit)) (= (@ (@ tptp.inf_inf_int (@ BOUND_VARIABLE_295770 BOUND_VARIABLE_295772)) (@ BOUND_VARIABLE_295771 BOUND_VARIABLE_295772)) (ll_2561 BOUND_VARIABLE_295770 BOUND_VARIABLE_295771 BOUND_VARIABLE_295772))))) (let ((_let_17410 (forall ((BOUND_VARIABLE_295759 (-> tptp.int tptp.int)) (BOUND_VARIABLE_295760 (-> tptp.int tptp.int)) (BOUND_VARIABLE_295761 tptp.int)) (= (@ (@ tptp.inf_inf_int (@ BOUND_VARIABLE_295759 BOUND_VARIABLE_295761)) (@ BOUND_VARIABLE_295760 BOUND_VARIABLE_295761)) (ll_2560 BOUND_VARIABLE_295759 BOUND_VARIABLE_295760 BOUND_VARIABLE_295761))))) (let ((_let_17411 (forall ((BOUND_VARIABLE_295748 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295749 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295750 tptp.nat)) (= (@ (@ tptp.inf_inf_nat (@ BOUND_VARIABLE_295748 BOUND_VARIABLE_295750)) (@ BOUND_VARIABLE_295749 BOUND_VARIABLE_295750)) (ll_2559 BOUND_VARIABLE_295748 BOUND_VARIABLE_295749 BOUND_VARIABLE_295750))))) (let ((_let_17412 (forall ((BOUND_VARIABLE_295737 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_295738 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_295739 tptp.int)) (= (@ (@ tptp.inf_inf_nat (@ BOUND_VARIABLE_295737 BOUND_VARIABLE_295739)) (@ BOUND_VARIABLE_295738 BOUND_VARIABLE_295739)) (ll_2558 BOUND_VARIABLE_295737 BOUND_VARIABLE_295738 BOUND_VARIABLE_295739))))) (let ((_let_17413 (forall ((BOUND_VARIABLE_295678 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295679 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295680 tptp.set_Product_unit) (BOUND_VARIABLE_295681 tptp.nat)) (= (ll_2557 BOUND_VARIABLE_295678 BOUND_VARIABLE_295679 BOUND_VARIABLE_295680 BOUND_VARIABLE_295681) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295681)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3798 BOUND_VARIABLE_295678) BOUND_VARIABLE_295679) BOUND_VARIABLE_295680)) tptp.top_top_set_o))))))) (let ((_let_17414 (forall ((BOUND_VARIABLE_295627 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295628 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_295629 tptp.set_Product_unit) (BOUND_VARIABLE_295630 tptp.nat)) (= (ll_2556 BOUND_VARIABLE_295627 BOUND_VARIABLE_295628 BOUND_VARIABLE_295629 BOUND_VARIABLE_295630) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295630)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3797 BOUND_VARIABLE_295627) BOUND_VARIABLE_295628)) BOUND_VARIABLE_295629))))))) (let ((_let_17415 (forall ((BOUND_VARIABLE_295616 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_295617 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_295618 tptp.nat)) (= (@ (@ tptp.sup_sup_int (@ BOUND_VARIABLE_295616 BOUND_VARIABLE_295618)) (@ BOUND_VARIABLE_295617 BOUND_VARIABLE_295618)) (ll_2555 BOUND_VARIABLE_295616 BOUND_VARIABLE_295617 BOUND_VARIABLE_295618))))) (let ((_let_17416 (forall ((BOUND_VARIABLE_295605 (-> Bool tptp.int)) (BOUND_VARIABLE_295606 (-> Bool tptp.int)) (BOUND_VARIABLE_295607 Bool)) (= (@ (@ tptp.sup_sup_int (@ BOUND_VARIABLE_295605 BOUND_VARIABLE_295607)) (@ BOUND_VARIABLE_295606 BOUND_VARIABLE_295607)) (ll_2554 BOUND_VARIABLE_295605 BOUND_VARIABLE_295606 BOUND_VARIABLE_295607))))) (let ((_let_17417 (forall ((BOUND_VARIABLE_295594 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_295595 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_295596 tptp.product_unit)) (= (@ (@ tptp.sup_sup_int (@ BOUND_VARIABLE_295594 BOUND_VARIABLE_295596)) (@ BOUND_VARIABLE_295595 BOUND_VARIABLE_295596)) (ll_2553 BOUND_VARIABLE_295594 BOUND_VARIABLE_295595 BOUND_VARIABLE_295596))))) (let ((_let_17418 (forall ((BOUND_VARIABLE_295583 (-> tptp.int tptp.int)) (BOUND_VARIABLE_295584 (-> tptp.int tptp.int)) (BOUND_VARIABLE_295585 tptp.int)) (= (@ (@ tptp.sup_sup_int (@ BOUND_VARIABLE_295583 BOUND_VARIABLE_295585)) (@ BOUND_VARIABLE_295584 BOUND_VARIABLE_295585)) (ll_2552 BOUND_VARIABLE_295583 BOUND_VARIABLE_295584 BOUND_VARIABLE_295585))))) (let ((_let_17419 (forall ((BOUND_VARIABLE_295572 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295573 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295574 tptp.nat)) (= (@ (@ tptp.sup_sup_nat (@ BOUND_VARIABLE_295572 BOUND_VARIABLE_295574)) (@ BOUND_VARIABLE_295573 BOUND_VARIABLE_295574)) (ll_2551 BOUND_VARIABLE_295572 BOUND_VARIABLE_295573 BOUND_VARIABLE_295574))))) (let ((_let_17420 (forall ((BOUND_VARIABLE_295561 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_295562 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_295563 tptp.int)) (= (@ (@ tptp.sup_sup_nat (@ BOUND_VARIABLE_295561 BOUND_VARIABLE_295563)) (@ BOUND_VARIABLE_295562 BOUND_VARIABLE_295563)) (ll_2550 BOUND_VARIABLE_295561 BOUND_VARIABLE_295562 BOUND_VARIABLE_295563))))) (let ((_let_17421 (forall ((BOUND_VARIABLE_295549 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295550 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295550)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_295549) tptp.top_top_set_o))) (ll_2549 BOUND_VARIABLE_295549 BOUND_VARIABLE_295550))))) (let ((_let_17422 (forall ((BOUND_VARIABLE_295517 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295518 tptp.nat)) (= (ll_2548 BOUND_VARIABLE_295517 BOUND_VARIABLE_295518) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295518)) (@ (@ tptp.image_o_set_nat (@ ll_3796 BOUND_VARIABLE_295517)) tptp.top_top_set_o))))))) (let ((_let_17423 (forall ((BOUND_VARIABLE_295505 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_295506 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_295506)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_295505) tptp.top_top_set_o))) (ll_2547 BOUND_VARIABLE_295505 BOUND_VARIABLE_295506))))) (let ((_let_17424 (forall ((BOUND_VARIABLE_295473 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_295474 tptp.produc3843707927480180839at_nat)) (= (ll_2546 BOUND_VARIABLE_295473 BOUND_VARIABLE_295474) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_295474)) (@ (@ tptp.image_2496312346330513076at_nat (@ ll_3795 BOUND_VARIABLE_295473)) tptp.top_top_set_o))))))) (let ((_let_17425 (forall ((BOUND_VARIABLE_295462 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_295463 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_295463) (@ BOUND_VARIABLE_295462 true)) (@ BOUND_VARIABLE_295462 false)) (ll_2545 BOUND_VARIABLE_295462 BOUND_VARIABLE_295463))))) (let ((_let_17426 (forall ((BOUND_VARIABLE_295453 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_295454 (-> tptp.int tptp.int)) (BOUND_VARIABLE_295455 tptp.int)) (= (@ BOUND_VARIABLE_295453 (@ BOUND_VARIABLE_295454 BOUND_VARIABLE_295455)) (ll_2544 BOUND_VARIABLE_295453 BOUND_VARIABLE_295454 BOUND_VARIABLE_295455))))) (let ((_let_17427 (forall ((BOUND_VARIABLE_295444 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295445 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295446 tptp.nat)) (= (@ BOUND_VARIABLE_295444 (@ BOUND_VARIABLE_295445 BOUND_VARIABLE_295446)) (ll_2543 BOUND_VARIABLE_295444 BOUND_VARIABLE_295445 BOUND_VARIABLE_295446))))) (let ((_let_17428 (forall ((BOUND_VARIABLE_295435 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_295436 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_295437 tptp.int)) (= (@ BOUND_VARIABLE_295435 (@ BOUND_VARIABLE_295436 BOUND_VARIABLE_295437)) (ll_2542 BOUND_VARIABLE_295435 BOUND_VARIABLE_295436 BOUND_VARIABLE_295437))))) (let ((_let_17429 (forall ((BOUND_VARIABLE_295424 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_295425 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_295426 tptp.code_integer) (BOUND_VARIABLE_295427 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_295424 (@ BOUND_VARIABLE_295425 BOUND_VARIABLE_295426)) BOUND_VARIABLE_295427) (ll_2541 BOUND_VARIABLE_295424 BOUND_VARIABLE_295425 BOUND_VARIABLE_295426 BOUND_VARIABLE_295427))))) (let ((_let_17430 (forall ((BOUND_VARIABLE_295415 (-> Bool Bool)) (BOUND_VARIABLE_295416 (-> tptp.nat Bool)) (BOUND_VARIABLE_295417 tptp.nat)) (= (@ BOUND_VARIABLE_295415 (@ BOUND_VARIABLE_295416 BOUND_VARIABLE_295417)) (ll_2540 BOUND_VARIABLE_295415 BOUND_VARIABLE_295416 BOUND_VARIABLE_295417))))) (let ((_let_17431 (forall ((BOUND_VARIABLE_295403 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295404 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295404)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_295403) tptp.top_top_set_o))) (ll_2539 BOUND_VARIABLE_295403 BOUND_VARIABLE_295404))))) (let ((_let_17432 (forall ((BOUND_VARIABLE_295391 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295392 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295392)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_295391) tptp.top_top_set_o))) (ll_2538 BOUND_VARIABLE_295391 BOUND_VARIABLE_295392))))) (let ((_let_17433 (forall ((BOUND_VARIABLE_295379 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295380 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295380)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_295379) tptp.top_top_set_o))) (ll_2537 BOUND_VARIABLE_295379 BOUND_VARIABLE_295380))))) (let ((_let_17434 (forall ((BOUND_VARIABLE_295347 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_295348 tptp.nat)) (= (ll_2536 BOUND_VARIABLE_295347 BOUND_VARIABLE_295348) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295348)) (@ (@ tptp.image_o_set_nat (@ ll_3794 BOUND_VARIABLE_295347)) tptp.top_top_set_o))))))) (let ((_let_17435 (forall ((BOUND_VARIABLE_295335 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_295336 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_295336)) (@ (@ tptp.image_2496312346330513076at_nat BOUND_VARIABLE_295335) tptp.top_top_set_o))) (ll_2535 BOUND_VARIABLE_295335 BOUND_VARIABLE_295336))))) (let ((_let_17436 (forall ((BOUND_VARIABLE_295302 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_295303 tptp.produc3843707927480180839at_nat)) (= (ll_2534 BOUND_VARIABLE_295302 BOUND_VARIABLE_295303) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_295303)) (@ (@ tptp.image_2496312346330513076at_nat (@ ll_3793 BOUND_VARIABLE_295302)) tptp.top_top_set_o))))))) (let ((_let_17437 (forall ((BOUND_VARIABLE_295291 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_295292 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_295292) (@ BOUND_VARIABLE_295291 true)) (@ BOUND_VARIABLE_295291 false)) (ll_2533 BOUND_VARIABLE_295291 BOUND_VARIABLE_295292))))) (let ((_let_17438 (forall ((BOUND_VARIABLE_295282 (-> tptp.int tptp.int)) (BOUND_VARIABLE_295283 tptp.int)) (= (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_295283) (@ BOUND_VARIABLE_295282 BOUND_VARIABLE_295283)) (ll_2532 BOUND_VARIABLE_295282 BOUND_VARIABLE_295283))))) (let ((_let_17439 (forall ((BOUND_VARIABLE_295273 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_295274 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_295274) (@ BOUND_VARIABLE_295273 BOUND_VARIABLE_295274)) (ll_2531 BOUND_VARIABLE_295273 BOUND_VARIABLE_295274))))) (let ((_let_17440 (forall ((BOUND_VARIABLE_295264 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_295265 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_295265) (@ BOUND_VARIABLE_295264 BOUND_VARIABLE_295265)) (ll_2530 BOUND_VARIABLE_295264 BOUND_VARIABLE_295265))))) (let ((_let_17441 (forall ((BOUND_VARIABLE_295255 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295256 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_295256) (@ BOUND_VARIABLE_295255 BOUND_VARIABLE_295256)) (ll_2529 BOUND_VARIABLE_295255 BOUND_VARIABLE_295256))))) (let ((_let_17442 (forall ((BOUND_VARIABLE_295246 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_295247 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_295247) (@ BOUND_VARIABLE_295246 BOUND_VARIABLE_295247)) (ll_2528 BOUND_VARIABLE_295246 BOUND_VARIABLE_295247))))) (let ((_let_17443 (forall ((BOUND_VARIABLE_295233 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_295234 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295235 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295235)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_295233) BOUND_VARIABLE_295234))) (ll_2527 BOUND_VARIABLE_295233 BOUND_VARIABLE_295234 BOUND_VARIABLE_295235))))) (let ((_let_17444 (forall ((BOUND_VARIABLE_295220 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_295221 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295222 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295222)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_295220) BOUND_VARIABLE_295221))) (ll_2526 BOUND_VARIABLE_295220 BOUND_VARIABLE_295221 BOUND_VARIABLE_295222))))) (let ((_let_17445 (forall ((BOUND_VARIABLE_295177 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_295178 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295179 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295180 tptp.nat)) (= (ll_2525 BOUND_VARIABLE_295177 BOUND_VARIABLE_295178 BOUND_VARIABLE_295179 BOUND_VARIABLE_295180) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295180)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_295177) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3792 BOUND_VARIABLE_295178) BOUND_VARIABLE_295179))))))))) (let ((_let_17446 (forall ((BOUND_VARIABLE_295164 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_295165 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295166 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295166)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_295164) BOUND_VARIABLE_295165))) (ll_2524 BOUND_VARIABLE_295164 BOUND_VARIABLE_295165 BOUND_VARIABLE_295166))))) (let ((_let_17447 (forall ((BOUND_VARIABLE_295151 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_295152 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295153 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295153)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_295151) BOUND_VARIABLE_295152))) (ll_2523 BOUND_VARIABLE_295151 BOUND_VARIABLE_295152 BOUND_VARIABLE_295153))))) (let ((_let_17448 (forall ((BOUND_VARIABLE_295114 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_295115 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295116 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295117 tptp.nat)) (= (ll_2522 BOUND_VARIABLE_295114 BOUND_VARIABLE_295115 BOUND_VARIABLE_295116 BOUND_VARIABLE_295117) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_295117)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_295114) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3791 BOUND_VARIABLE_295115) BOUND_VARIABLE_295116)) tptp.top_top_set_o))))))))) (let ((_let_17449 (forall ((BOUND_VARIABLE_295101 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295102 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295103 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295103)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_295101) BOUND_VARIABLE_295102))) (ll_2521 BOUND_VARIABLE_295101 BOUND_VARIABLE_295102 BOUND_VARIABLE_295103))))) (let ((_let_17450 (forall ((BOUND_VARIABLE_295088 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295089 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295090 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295090)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_295088) BOUND_VARIABLE_295089))) (ll_2520 BOUND_VARIABLE_295088 BOUND_VARIABLE_295089 BOUND_VARIABLE_295090))))) (let ((_let_17451 (forall ((BOUND_VARIABLE_295045 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295046 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295047 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_295048 tptp.product_prod_nat_nat)) (= (ll_2519 BOUND_VARIABLE_295045 BOUND_VARIABLE_295046 BOUND_VARIABLE_295047 BOUND_VARIABLE_295048) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295048)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_295045) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3790 BOUND_VARIABLE_295046) BOUND_VARIABLE_295047))))))))) (let ((_let_17452 (forall ((BOUND_VARIABLE_295032 (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295033 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295034 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295034)) (@ (@ tptp.image_1384942819424619199at_nat BOUND_VARIABLE_295032) BOUND_VARIABLE_295033))) (ll_2518 BOUND_VARIABLE_295032 BOUND_VARIABLE_295033 BOUND_VARIABLE_295034))))) (let ((_let_17453 (forall ((BOUND_VARIABLE_295019 (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_295020 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_295021 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_295021)) (@ (@ tptp.image_1384942819424619199at_nat BOUND_VARIABLE_295019) BOUND_VARIABLE_295020))) (ll_2517 BOUND_VARIABLE_295019 BOUND_VARIABLE_295020 BOUND_VARIABLE_295021))))) (let ((_let_17454 (forall ((BOUND_VARIABLE_294982 (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294983 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294984 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294985 tptp.product_prod_nat_nat)) (= (ll_2516 BOUND_VARIABLE_294982 BOUND_VARIABLE_294983 BOUND_VARIABLE_294984 BOUND_VARIABLE_294985) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294985)) (@ (@ tptp.image_1384942819424619199at_nat BOUND_VARIABLE_294982) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3789 BOUND_VARIABLE_294983) BOUND_VARIABLE_294984)) tptp.top_top_set_o))))))))) (let ((_let_17455 (forall ((BOUND_VARIABLE_294951 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294952 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294953 tptp.produc3843707927480180839at_nat)) (= (ll_2515 BOUND_VARIABLE_294951 BOUND_VARIABLE_294952 BOUND_VARIABLE_294953) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294953)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3788 BOUND_VARIABLE_294951) BOUND_VARIABLE_294952)) tptp.top_top_set_o))))))) (let ((_let_17456 (forall ((BOUND_VARIABLE_294910 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294911 (-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_294912 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294913 tptp.produc3843707927480180839at_nat)) (= (ll_2514 BOUND_VARIABLE_294910 BOUND_VARIABLE_294911 BOUND_VARIABLE_294912 BOUND_VARIABLE_294913) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294913)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3787 BOUND_VARIABLE_294910) BOUND_VARIABLE_294911) BOUND_VARIABLE_294912)) tptp.top_top_set_o))))))) (let ((_let_17457 (forall ((BOUND_VARIABLE_294879 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294880 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294881 tptp.produc3843707927480180839at_nat)) (= (ll_2513 BOUND_VARIABLE_294879 BOUND_VARIABLE_294880 BOUND_VARIABLE_294881) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294881)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3786 BOUND_VARIABLE_294879) BOUND_VARIABLE_294880)) tptp.top_top_set_o))))))) (let ((_let_17458 (forall ((BOUND_VARIABLE_294865 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294866 (-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_294867 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294868 Bool)) (let ((_let_1 (@ tptp.image_5653576389946358725at_nat BOUND_VARIABLE_294866))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_294868) (@ _let_1 BOUND_VARIABLE_294865)) (@ _let_1 BOUND_VARIABLE_294867)) (ll_2512 BOUND_VARIABLE_294865 BOUND_VARIABLE_294866 BOUND_VARIABLE_294867 BOUND_VARIABLE_294868)))))) (let ((_let_17459 (forall ((BOUND_VARIABLE_294855 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294856 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294857 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_294857) BOUND_VARIABLE_294855) BOUND_VARIABLE_294856) (ll_2511 BOUND_VARIABLE_294855 BOUND_VARIABLE_294856 BOUND_VARIABLE_294857))))) (let ((_let_17460 (forall ((BOUND_VARIABLE_294814 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294815 (-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_294816 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294817 tptp.produc3843707927480180839at_nat)) (= (ll_2510 BOUND_VARIABLE_294814 BOUND_VARIABLE_294815 BOUND_VARIABLE_294816 BOUND_VARIABLE_294817) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294817)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3785 BOUND_VARIABLE_294814) BOUND_VARIABLE_294815) BOUND_VARIABLE_294816)) tptp.top_top_set_o))))))) (let ((_let_17461 (forall ((BOUND_VARIABLE_294804 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294805 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294806 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_294806) BOUND_VARIABLE_294804) BOUND_VARIABLE_294805) (ll_2509 BOUND_VARIABLE_294804 BOUND_VARIABLE_294805 BOUND_VARIABLE_294806))))) (let ((_let_17462 (forall ((BOUND_VARIABLE_294790 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294791 (-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_294792 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294793 Bool)) (let ((_let_1 (@ tptp.image_6321802852832981957at_nat BOUND_VARIABLE_294791))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_294793) (@ _let_1 BOUND_VARIABLE_294790)) (@ _let_1 BOUND_VARIABLE_294792)) (ll_2508 BOUND_VARIABLE_294790 BOUND_VARIABLE_294791 BOUND_VARIABLE_294792 BOUND_VARIABLE_294793)))))) (let ((_let_17463 (forall ((BOUND_VARIABLE_294749 tptp.set_int) (BOUND_VARIABLE_294750 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_294751 tptp.set_int) (BOUND_VARIABLE_294752 tptp.nat)) (= (ll_2507 BOUND_VARIABLE_294749 BOUND_VARIABLE_294750 BOUND_VARIABLE_294751 BOUND_VARIABLE_294752) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294752)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3784 BOUND_VARIABLE_294749) BOUND_VARIABLE_294750) BOUND_VARIABLE_294751)) tptp.top_top_set_o))))))) (let ((_let_17464 (forall ((BOUND_VARIABLE_294718 tptp.set_nat) (BOUND_VARIABLE_294719 tptp.set_nat) (BOUND_VARIABLE_294720 tptp.nat)) (= (ll_2506 BOUND_VARIABLE_294718 BOUND_VARIABLE_294719 BOUND_VARIABLE_294720) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294720)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3783 BOUND_VARIABLE_294718) BOUND_VARIABLE_294719)) tptp.top_top_set_o))))))) (let ((_let_17465 (forall ((BOUND_VARIABLE_294687 tptp.set_nat) (BOUND_VARIABLE_294688 tptp.set_nat) (BOUND_VARIABLE_294689 tptp.nat)) (= (ll_2505 BOUND_VARIABLE_294687 BOUND_VARIABLE_294688 BOUND_VARIABLE_294689) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294689)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3782 BOUND_VARIABLE_294687) BOUND_VARIABLE_294688)) tptp.top_top_set_o))))))) (let ((_let_17466 (forall ((BOUND_VARIABLE_294646 tptp.set_nat) (BOUND_VARIABLE_294647 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_294648 tptp.set_nat) (BOUND_VARIABLE_294649 tptp.nat)) (= (ll_2504 BOUND_VARIABLE_294646 BOUND_VARIABLE_294647 BOUND_VARIABLE_294648 BOUND_VARIABLE_294649) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294649)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3781 BOUND_VARIABLE_294646) BOUND_VARIABLE_294647) BOUND_VARIABLE_294648)) tptp.top_top_set_o))))))) (let ((_let_17467 (forall ((BOUND_VARIABLE_294615 tptp.set_nat) (BOUND_VARIABLE_294616 tptp.set_nat) (BOUND_VARIABLE_294617 tptp.nat)) (= (ll_2503 BOUND_VARIABLE_294615 BOUND_VARIABLE_294616 BOUND_VARIABLE_294617) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294617)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3780 BOUND_VARIABLE_294615) BOUND_VARIABLE_294616)) tptp.top_top_set_o))))))) (let ((_let_17468 (forall ((BOUND_VARIABLE_294602 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_294603 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294604 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294604)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_294602) BOUND_VARIABLE_294603))) (ll_2502 BOUND_VARIABLE_294602 BOUND_VARIABLE_294603 BOUND_VARIABLE_294604))))) (let ((_let_17469 (forall ((BOUND_VARIABLE_294589 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_294590 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294591 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294591)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_294589) BOUND_VARIABLE_294590))) (ll_2501 BOUND_VARIABLE_294589 BOUND_VARIABLE_294590 BOUND_VARIABLE_294591))))) (let ((_let_17470 (forall ((BOUND_VARIABLE_294546 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_294547 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294548 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294549 tptp.nat)) (= (ll_2500 BOUND_VARIABLE_294546 BOUND_VARIABLE_294547 BOUND_VARIABLE_294548 BOUND_VARIABLE_294549) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294549)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_294546) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3779 BOUND_VARIABLE_294547) BOUND_VARIABLE_294548))))))))) (let ((_let_17471 (forall ((BOUND_VARIABLE_294533 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_294534 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294535 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294535)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_294533) BOUND_VARIABLE_294534))) (ll_2499 BOUND_VARIABLE_294533 BOUND_VARIABLE_294534 BOUND_VARIABLE_294535))))) (let ((_let_17472 (forall ((BOUND_VARIABLE_294520 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_294521 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294522 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294522)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_294520) BOUND_VARIABLE_294521))) (ll_2498 BOUND_VARIABLE_294520 BOUND_VARIABLE_294521 BOUND_VARIABLE_294522))))) (let ((_let_17473 (forall ((BOUND_VARIABLE_294483 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_294484 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294485 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294486 tptp.nat)) (= (ll_2497 BOUND_VARIABLE_294483 BOUND_VARIABLE_294484 BOUND_VARIABLE_294485 BOUND_VARIABLE_294486) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294486)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_294483) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3778 BOUND_VARIABLE_294484) BOUND_VARIABLE_294485)) tptp.top_top_set_o))))))))) (let ((_let_17474 (forall ((BOUND_VARIABLE_294470 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294471 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294472 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294472)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_294470) BOUND_VARIABLE_294471))) (ll_2496 BOUND_VARIABLE_294470 BOUND_VARIABLE_294471 BOUND_VARIABLE_294472))))) (let ((_let_17475 (forall ((BOUND_VARIABLE_294457 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294458 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294459 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294459)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_294457) BOUND_VARIABLE_294458))) (ll_2495 BOUND_VARIABLE_294457 BOUND_VARIABLE_294458 BOUND_VARIABLE_294459))))) (let ((_let_17476 (forall ((BOUND_VARIABLE_294414 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294415 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294416 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294417 tptp.product_prod_nat_nat)) (= (ll_2494 BOUND_VARIABLE_294414 BOUND_VARIABLE_294415 BOUND_VARIABLE_294416 BOUND_VARIABLE_294417) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294417)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_294414) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3777 BOUND_VARIABLE_294415) BOUND_VARIABLE_294416))))))))) (let ((_let_17477 (forall ((BOUND_VARIABLE_294401 (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294402 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294403 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294403)) (@ (@ tptp.image_1384942819424619199at_nat BOUND_VARIABLE_294401) BOUND_VARIABLE_294402))) (ll_2493 BOUND_VARIABLE_294401 BOUND_VARIABLE_294402 BOUND_VARIABLE_294403))))) (let ((_let_17478 (forall ((BOUND_VARIABLE_294388 (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294389 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294390 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294390)) (@ (@ tptp.image_1384942819424619199at_nat BOUND_VARIABLE_294388) BOUND_VARIABLE_294389))) (ll_2492 BOUND_VARIABLE_294388 BOUND_VARIABLE_294389 BOUND_VARIABLE_294390))))) (let ((_let_17479 (forall ((BOUND_VARIABLE_294351 (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_294352 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294353 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294354 tptp.product_prod_nat_nat)) (= (ll_2491 BOUND_VARIABLE_294351 BOUND_VARIABLE_294352 BOUND_VARIABLE_294353 BOUND_VARIABLE_294354) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_294354)) (@ (@ tptp.image_1384942819424619199at_nat BOUND_VARIABLE_294351) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3776 BOUND_VARIABLE_294352) BOUND_VARIABLE_294353)) tptp.top_top_set_o))))))))) (let ((_let_17480 (forall ((BOUND_VARIABLE_294308 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_294309 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294310 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294311 tptp.nat)) (= (ll_2490 BOUND_VARIABLE_294308 BOUND_VARIABLE_294309 BOUND_VARIABLE_294310 BOUND_VARIABLE_294311) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294311)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_294308) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3775 BOUND_VARIABLE_294309) BOUND_VARIABLE_294310))))))))) (let ((_let_17481 (forall ((BOUND_VARIABLE_294252 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294253 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_294254 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294255 tptp.nat)) (= (ll_2489 BOUND_VARIABLE_294252 BOUND_VARIABLE_294253 BOUND_VARIABLE_294254 BOUND_VARIABLE_294255) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294255)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3774 BOUND_VARIABLE_294252) BOUND_VARIABLE_294253) BOUND_VARIABLE_294254)) tptp.top_top_set_o))))))) (let ((_let_17482 (forall ((BOUND_VARIABLE_294215 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_294216 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294217 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294218 tptp.nat)) (= (ll_2488 BOUND_VARIABLE_294215 BOUND_VARIABLE_294216 BOUND_VARIABLE_294217 BOUND_VARIABLE_294218) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294218)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_294215) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3773 BOUND_VARIABLE_294216) BOUND_VARIABLE_294217)) tptp.top_top_set_o))))))))) (let ((_let_17483 (forall ((BOUND_VARIABLE_294159 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294160 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_294161 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_294162 tptp.nat)) (= (ll_2487 BOUND_VARIABLE_294159 BOUND_VARIABLE_294160 BOUND_VARIABLE_294161 BOUND_VARIABLE_294162) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_294162)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3772 BOUND_VARIABLE_294159) BOUND_VARIABLE_294160) BOUND_VARIABLE_294161)) tptp.top_top_set_o))))))) (let ((_let_17484 (forall ((BOUND_VARIABLE_294116 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_294117 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294118 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294119 tptp.produc3843707927480180839at_nat)) (= (ll_2486 BOUND_VARIABLE_294116 BOUND_VARIABLE_294117 BOUND_VARIABLE_294118 BOUND_VARIABLE_294119) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294119)) (@ (@ tptp.image_7364710425340685989at_nat BOUND_VARIABLE_294116) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3771 BOUND_VARIABLE_294117) BOUND_VARIABLE_294118))))))))) (let ((_let_17485 (forall ((BOUND_VARIABLE_294060 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294061 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_294062 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294063 tptp.produc3843707927480180839at_nat)) (= (ll_2485 BOUND_VARIABLE_294060 BOUND_VARIABLE_294061 BOUND_VARIABLE_294062 BOUND_VARIABLE_294063) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294063)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3770 BOUND_VARIABLE_294060) BOUND_VARIABLE_294061) BOUND_VARIABLE_294062)) tptp.top_top_set_o))))))) (let ((_let_17486 (forall ((BOUND_VARIABLE_294029 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294030 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294031 tptp.produc3843707927480180839at_nat)) (= (ll_2484 BOUND_VARIABLE_294029 BOUND_VARIABLE_294030 BOUND_VARIABLE_294031) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_294031)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3769 BOUND_VARIABLE_294029) BOUND_VARIABLE_294030)) tptp.top_top_set_o))))))) (let ((_let_17487 (forall ((BOUND_VARIABLE_294013 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294014 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_294015 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_294016 Bool)) (let ((_let_1 (@ tptp.image_7260680879217540773at_nat BOUND_VARIABLE_294014))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_294016) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_294013))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_294015))) (ll_2483 BOUND_VARIABLE_294013 BOUND_VARIABLE_294014 BOUND_VARIABLE_294015 BOUND_VARIABLE_294016)))))) (let ((_let_17488 (forall ((BOUND_VARIABLE_293976 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_293977 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293978 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293979 tptp.produc3843707927480180839at_nat)) (= (ll_2482 BOUND_VARIABLE_293976 BOUND_VARIABLE_293977 BOUND_VARIABLE_293978 BOUND_VARIABLE_293979) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_293979)) (@ (@ tptp.image_3876558564303283877at_nat BOUND_VARIABLE_293976) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3768 BOUND_VARIABLE_293977) BOUND_VARIABLE_293978)) tptp.top_top_set_o))))))))) (let ((_let_17489 (forall ((BOUND_VARIABLE_293920 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293921 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_293922 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293923 tptp.produc3843707927480180839at_nat)) (= (ll_2481 BOUND_VARIABLE_293920 BOUND_VARIABLE_293921 BOUND_VARIABLE_293922 BOUND_VARIABLE_293923) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_293923)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3767 BOUND_VARIABLE_293920) BOUND_VARIABLE_293921) BOUND_VARIABLE_293922)) tptp.top_top_set_o))))))) (let ((_let_17490 (forall ((BOUND_VARIABLE_293910 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293911 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293912 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_293912) BOUND_VARIABLE_293910) BOUND_VARIABLE_293911) (ll_2480 BOUND_VARIABLE_293910 BOUND_VARIABLE_293911 BOUND_VARIABLE_293912))))) (let ((_let_17491 (forall ((BOUND_VARIABLE_293894 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293895 (-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_293896 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293897 Bool)) (let ((_let_1 (@ tptp.image_6654316230217496229at_nat BOUND_VARIABLE_293895))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_293897) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_293894))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_293896))) (ll_2479 BOUND_VARIABLE_293894 BOUND_VARIABLE_293895 BOUND_VARIABLE_293896 BOUND_VARIABLE_293897)))))) (let ((_let_17492 (forall ((BOUND_VARIABLE_293883 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_293884 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_293885 tptp.code_integer) (BOUND_VARIABLE_293886 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_293883 (@ BOUND_VARIABLE_293884 BOUND_VARIABLE_293885)) BOUND_VARIABLE_293886) (ll_2478 BOUND_VARIABLE_293883 BOUND_VARIABLE_293884 BOUND_VARIABLE_293885 BOUND_VARIABLE_293886))))) (let ((_let_17493 (forall ((BOUND_VARIABLE_293874 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_293875 (-> tptp.int tptp.int)) (BOUND_VARIABLE_293876 tptp.int)) (= (@ BOUND_VARIABLE_293874 (@ BOUND_VARIABLE_293875 BOUND_VARIABLE_293876)) (ll_2477 BOUND_VARIABLE_293874 BOUND_VARIABLE_293875 BOUND_VARIABLE_293876))))) (let ((_let_17494 (forall ((BOUND_VARIABLE_293865 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_293866 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_293867 tptp.nat)) (= (@ BOUND_VARIABLE_293865 (@ BOUND_VARIABLE_293866 BOUND_VARIABLE_293867)) (ll_2476 BOUND_VARIABLE_293865 BOUND_VARIABLE_293866 BOUND_VARIABLE_293867))))) (let ((_let_17495 (forall ((BOUND_VARIABLE_293856 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_293857 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_293858 tptp.int)) (= (@ BOUND_VARIABLE_293856 (@ BOUND_VARIABLE_293857 BOUND_VARIABLE_293858)) (ll_2475 BOUND_VARIABLE_293856 BOUND_VARIABLE_293857 BOUND_VARIABLE_293858))))) (let ((_let_17496 (forall ((BOUND_VARIABLE_293847 (-> Bool Bool)) (BOUND_VARIABLE_293848 (-> tptp.nat Bool)) (BOUND_VARIABLE_293849 tptp.nat)) (= (@ BOUND_VARIABLE_293847 (@ BOUND_VARIABLE_293848 BOUND_VARIABLE_293849)) (ll_2474 BOUND_VARIABLE_293847 BOUND_VARIABLE_293848 BOUND_VARIABLE_293849))))) (let ((_let_17497 (forall ((BOUND_VARIABLE_293831 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_293832 tptp.set_Product_unit) (BOUND_VARIABLE_293833 tptp.set_Product_unit) (BOUND_VARIABLE_293834 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293834)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_293831) (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_293832) BOUND_VARIABLE_293833)))) (ll_2473 BOUND_VARIABLE_293831 BOUND_VARIABLE_293832 BOUND_VARIABLE_293833 BOUND_VARIABLE_293834))))) (let ((_let_17498 (forall ((BOUND_VARIABLE_293818 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_293819 tptp.set_Product_unit) (BOUND_VARIABLE_293820 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293820)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_293818) BOUND_VARIABLE_293819))) (ll_2472 BOUND_VARIABLE_293818 BOUND_VARIABLE_293819 BOUND_VARIABLE_293820))))) (let ((_let_17499 (forall ((BOUND_VARIABLE_293805 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_293806 tptp.set_Product_unit) (BOUND_VARIABLE_293807 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293807)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_293805) BOUND_VARIABLE_293806))) (ll_2471 BOUND_VARIABLE_293805 BOUND_VARIABLE_293806 BOUND_VARIABLE_293807))))) (let ((_let_17500 (forall ((BOUND_VARIABLE_293774 tptp.set_nat) (BOUND_VARIABLE_293775 tptp.set_nat) (BOUND_VARIABLE_293776 tptp.nat)) (= (ll_2470 BOUND_VARIABLE_293774 BOUND_VARIABLE_293775 BOUND_VARIABLE_293776) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293776)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3766 BOUND_VARIABLE_293774) BOUND_VARIABLE_293775)) tptp.top_top_set_o))))))) (let ((_let_17501 (forall ((BOUND_VARIABLE_293743 tptp.set_nat) (BOUND_VARIABLE_293744 tptp.set_nat) (BOUND_VARIABLE_293745 tptp.nat)) (= (ll_2469 BOUND_VARIABLE_293743 BOUND_VARIABLE_293744 BOUND_VARIABLE_293745) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293745)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3765 BOUND_VARIABLE_293743) BOUND_VARIABLE_293744)) tptp.top_top_set_o))))))) (let ((_let_17502 (forall ((BOUND_VARIABLE_293727 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_293728 tptp.set_Product_unit) (BOUND_VARIABLE_293729 tptp.set_Product_unit) (BOUND_VARIABLE_293730 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293730)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_293727) (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_293728) BOUND_VARIABLE_293729)))) (ll_2468 BOUND_VARIABLE_293727 BOUND_VARIABLE_293728 BOUND_VARIABLE_293729 BOUND_VARIABLE_293730))))) (let ((_let_17503 (forall ((BOUND_VARIABLE_293670 tptp.set_Product_unit) (BOUND_VARIABLE_293671 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_293672 tptp.set_Product_unit) (BOUND_VARIABLE_293673 tptp.nat)) (= (ll_2467 BOUND_VARIABLE_293670 BOUND_VARIABLE_293671 BOUND_VARIABLE_293672 BOUND_VARIABLE_293673) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293673)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3764 BOUND_VARIABLE_293670) BOUND_VARIABLE_293671) BOUND_VARIABLE_293672)) tptp.top_top_set_o))))))) (let ((_let_17504 (forall ((BOUND_VARIABLE_293639 tptp.set_nat) (BOUND_VARIABLE_293640 tptp.set_nat) (BOUND_VARIABLE_293641 tptp.nat)) (= (ll_2466 BOUND_VARIABLE_293639 BOUND_VARIABLE_293640 BOUND_VARIABLE_293641) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293641)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3763 BOUND_VARIABLE_293639) BOUND_VARIABLE_293640)) tptp.top_top_set_o))))))) (let ((_let_17505 (forall ((BOUND_VARIABLE_293608 tptp.set_nat) (BOUND_VARIABLE_293609 tptp.set_nat) (BOUND_VARIABLE_293610 tptp.nat)) (= (ll_2465 BOUND_VARIABLE_293608 BOUND_VARIABLE_293609 BOUND_VARIABLE_293610) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293610)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3762 BOUND_VARIABLE_293608) BOUND_VARIABLE_293609)) tptp.top_top_set_o))))))) (let ((_let_17506 (forall ((BOUND_VARIABLE_293598 tptp.set_set_nat) (BOUND_VARIABLE_293599 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293599)) BOUND_VARIABLE_293598)) (ll_2464 BOUND_VARIABLE_293598 BOUND_VARIABLE_293599))))) (let ((_let_17507 (forall ((BOUND_VARIABLE_293588 tptp.set_set_nat) (BOUND_VARIABLE_293589 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293589)) BOUND_VARIABLE_293588)) (ll_2463 BOUND_VARIABLE_293588 BOUND_VARIABLE_293589))))) (let ((_let_17508 (forall ((BOUND_VARIABLE_293578 tptp.set_set_nat) (BOUND_VARIABLE_293579 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293579)) BOUND_VARIABLE_293578)) (ll_2462 BOUND_VARIABLE_293578 BOUND_VARIABLE_293579))))) (let ((_let_17509 (forall ((BOUND_VARIABLE_293568 tptp.set_set_int) (BOUND_VARIABLE_293569 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_293569)) BOUND_VARIABLE_293568)) (ll_2461 BOUND_VARIABLE_293568 BOUND_VARIABLE_293569))))) (let ((_let_17510 (forall ((BOUND_VARIABLE_293558 tptp.set_set_int) (BOUND_VARIABLE_293559 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_293559)) BOUND_VARIABLE_293558)) (ll_2460 BOUND_VARIABLE_293558 BOUND_VARIABLE_293559))))) (let ((_let_17511 (forall ((BOUND_VARIABLE_293548 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293549 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293550 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_293550) BOUND_VARIABLE_293548) BOUND_VARIABLE_293549) (ll_2459 BOUND_VARIABLE_293548 BOUND_VARIABLE_293549 BOUND_VARIABLE_293550))))) (let ((_let_17512 (forall ((BOUND_VARIABLE_293517 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_293518 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_293519 tptp.produc3843707927480180839at_nat)) (= (ll_2458 BOUND_VARIABLE_293517 BOUND_VARIABLE_293518 BOUND_VARIABLE_293519) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_293519)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3761 BOUND_VARIABLE_293517) BOUND_VARIABLE_293518)) tptp.top_top_set_o))))))) (let ((_let_17513 (forall ((BOUND_VARIABLE_293507 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293508 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293509 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_293509) BOUND_VARIABLE_293507) BOUND_VARIABLE_293508) (ll_2457 BOUND_VARIABLE_293507 BOUND_VARIABLE_293508 BOUND_VARIABLE_293509))))) (let ((_let_17514 (forall ((BOUND_VARIABLE_293497 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293498 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293499 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_293499) BOUND_VARIABLE_293497) BOUND_VARIABLE_293498) (ll_2456 BOUND_VARIABLE_293497 BOUND_VARIABLE_293498 BOUND_VARIABLE_293499))))) (let ((_let_17515 (forall ((BOUND_VARIABLE_293487 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293488 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_293489 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_293489) BOUND_VARIABLE_293487) BOUND_VARIABLE_293488) (ll_2455 BOUND_VARIABLE_293487 BOUND_VARIABLE_293488 BOUND_VARIABLE_293489))))) (let ((_let_17516 (forall ((BOUND_VARIABLE_293456 tptp.set_nat) (BOUND_VARIABLE_293457 tptp.set_nat) (BOUND_VARIABLE_293458 tptp.nat)) (= (ll_2454 BOUND_VARIABLE_293456 BOUND_VARIABLE_293457 BOUND_VARIABLE_293458) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293458)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3760 BOUND_VARIABLE_293456) BOUND_VARIABLE_293457)) tptp.top_top_set_o))))))) (let ((_let_17517 (forall ((BOUND_VARIABLE_293425 tptp.set_nat) (BOUND_VARIABLE_293426 tptp.set_nat) (BOUND_VARIABLE_293427 tptp.nat)) (= (ll_2453 BOUND_VARIABLE_293425 BOUND_VARIABLE_293426 BOUND_VARIABLE_293427) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293427)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3759 BOUND_VARIABLE_293425) BOUND_VARIABLE_293426)) tptp.top_top_set_o))))))) (let ((_let_17518 (forall ((BOUND_VARIABLE_293394 tptp.set_nat) (BOUND_VARIABLE_293395 tptp.set_nat) (BOUND_VARIABLE_293396 tptp.nat)) (= (ll_2452 BOUND_VARIABLE_293394 BOUND_VARIABLE_293395 BOUND_VARIABLE_293396) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_293396)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3758 BOUND_VARIABLE_293394) BOUND_VARIABLE_293395)) tptp.top_top_set_o))))))) (let ((_let_17519 (forall ((BOUND_VARIABLE_293356 tptp.set_nat) (BOUND_VARIABLE_293357 tptp.set_nat) (BOUND_VARIABLE_293358 tptp.set_nat) (BOUND_VARIABLE_293359 tptp.product_prod_nat_nat)) (= (ll_2451 BOUND_VARIABLE_293356 BOUND_VARIABLE_293357 BOUND_VARIABLE_293358 BOUND_VARIABLE_293359) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293359)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3757 BOUND_VARIABLE_293356)) (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_293357) BOUND_VARIABLE_293358)))))))) (let ((_let_17520 (forall ((BOUND_VARIABLE_293321 tptp.set_nat) (BOUND_VARIABLE_293322 tptp.set_nat) (BOUND_VARIABLE_293323 tptp.product_prod_nat_nat)) (= (ll_2450 BOUND_VARIABLE_293321 BOUND_VARIABLE_293322 BOUND_VARIABLE_293323) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293323)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3756 BOUND_VARIABLE_293321)) BOUND_VARIABLE_293322))))))) (let ((_let_17521 (forall ((BOUND_VARIABLE_293286 tptp.set_nat) (BOUND_VARIABLE_293287 tptp.set_nat) (BOUND_VARIABLE_293288 tptp.product_prod_nat_nat)) (= (ll_2449 BOUND_VARIABLE_293286 BOUND_VARIABLE_293287 BOUND_VARIABLE_293288) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293288)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3755 BOUND_VARIABLE_293286)) BOUND_VARIABLE_293287))))))) (let ((_let_17522 (forall ((BOUND_VARIABLE_293240 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_293241 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_293242 tptp.set_nat) (BOUND_VARIABLE_293243 tptp.product_prod_nat_nat)) (= (ll_2448 BOUND_VARIABLE_293240 BOUND_VARIABLE_293241 BOUND_VARIABLE_293242 BOUND_VARIABLE_293243) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293243)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3754 BOUND_VARIABLE_293240) BOUND_VARIABLE_293241)) BOUND_VARIABLE_293242))))))) (let ((_let_17523 (forall ((BOUND_VARIABLE_293203 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_293204 tptp.set_nat) (BOUND_VARIABLE_293205 tptp.product_prod_nat_nat)) (= (ll_2447 BOUND_VARIABLE_293203 BOUND_VARIABLE_293204 BOUND_VARIABLE_293205) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293205)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3753 BOUND_VARIABLE_293203)) BOUND_VARIABLE_293204))))))) (let ((_let_17524 (forall ((BOUND_VARIABLE_293166 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_293167 tptp.set_nat) (BOUND_VARIABLE_293168 tptp.product_prod_nat_nat)) (= (ll_2446 BOUND_VARIABLE_293166 BOUND_VARIABLE_293167 BOUND_VARIABLE_293168) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293168)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3752 BOUND_VARIABLE_293166)) BOUND_VARIABLE_293167))))))) (let ((_let_17525 (forall ((BOUND_VARIABLE_293131 tptp.set_nat) (BOUND_VARIABLE_293132 tptp.set_nat) (BOUND_VARIABLE_293133 tptp.product_prod_nat_nat)) (= (ll_2445 BOUND_VARIABLE_293131 BOUND_VARIABLE_293132 BOUND_VARIABLE_293133) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293133)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3751 BOUND_VARIABLE_293131)) BOUND_VARIABLE_293132))))))) (let ((_let_17526 (forall ((BOUND_VARIABLE_293096 tptp.set_nat) (BOUND_VARIABLE_293097 tptp.set_nat) (BOUND_VARIABLE_293098 tptp.product_prod_nat_nat)) (= (ll_2444 BOUND_VARIABLE_293096 BOUND_VARIABLE_293097 BOUND_VARIABLE_293098) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293098)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3750 BOUND_VARIABLE_293096)) BOUND_VARIABLE_293097))))))) (let ((_let_17527 (forall ((BOUND_VARIABLE_293050 tptp.set_nat) (BOUND_VARIABLE_293051 tptp.set_nat) (BOUND_VARIABLE_293052 tptp.set_nat) (BOUND_VARIABLE_293053 tptp.set_nat) (BOUND_VARIABLE_293054 tptp.product_prod_nat_nat)) (= (ll_2443 BOUND_VARIABLE_293050 BOUND_VARIABLE_293051 BOUND_VARIABLE_293052 BOUND_VARIABLE_293053 BOUND_VARIABLE_293054) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_293054)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3749 BOUND_VARIABLE_293050) BOUND_VARIABLE_293051)) (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_293052) BOUND_VARIABLE_293053)))))))) (let ((_let_17528 (forall ((BOUND_VARIABLE_293044 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293045 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_293044 (ll_2442 BOUND_VARIABLE_293044 BOUND_VARIABLE_293045))))) (let ((_let_17529 (forall ((BOUND_VARIABLE_293038 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293039 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_293038 (ll_2441 BOUND_VARIABLE_293038 BOUND_VARIABLE_293039))))) (let ((_let_17530 (forall ((BOUND_VARIABLE_293029 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293030 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_293031 tptp.product_prod_nat_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_293029) BOUND_VARIABLE_293030) (ll_2440 BOUND_VARIABLE_293029 BOUND_VARIABLE_293030 BOUND_VARIABLE_293031))))) (let ((_let_17531 (forall ((BOUND_VARIABLE_292991 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292992 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292993 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292994 tptp.produc3843707927480180839at_nat)) (= (ll_2439 BOUND_VARIABLE_292991 BOUND_VARIABLE_292992 BOUND_VARIABLE_292993 BOUND_VARIABLE_292994) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_292994)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3748 BOUND_VARIABLE_292991)) (@ (@ tptp.sup_su3642409539654194069at_nat BOUND_VARIABLE_292992) BOUND_VARIABLE_292993)))))))) (let ((_let_17532 (forall ((BOUND_VARIABLE_292922 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292923 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292924 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292925 tptp.produc3843707927480180839at_nat)) (= (ll_2438 BOUND_VARIABLE_292922 BOUND_VARIABLE_292923 BOUND_VARIABLE_292924 BOUND_VARIABLE_292925) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_292925)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3747 BOUND_VARIABLE_292922) BOUND_VARIABLE_292923) BOUND_VARIABLE_292924)) tptp.top_top_set_o))))))) (let ((_let_17533 (forall ((BOUND_VARIABLE_292916 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292917 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_292916 (ll_2437 BOUND_VARIABLE_292916 BOUND_VARIABLE_292917))))) (let ((_let_17534 (forall ((BOUND_VARIABLE_292883 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292884 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292885 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292886 Bool)) (= (ll_2436 BOUND_VARIABLE_292883 BOUND_VARIABLE_292884 BOUND_VARIABLE_292885 BOUND_VARIABLE_292886) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_292886) (@ (@ tptp.produc2761391749766926216at_nat BOUND_VARIABLE_292883) (@ ll_3746 BOUND_VARIABLE_292885))) (@ (@ tptp.produc2761391749766926216at_nat BOUND_VARIABLE_292884) (@ ll_3745 BOUND_VARIABLE_292885))))))) (let ((_let_17535 (forall ((BOUND_VARIABLE_292848 tptp.set_nat) (BOUND_VARIABLE_292849 tptp.set_nat) (BOUND_VARIABLE_292850 tptp.product_prod_nat_nat)) (= (ll_2435 BOUND_VARIABLE_292848 BOUND_VARIABLE_292849 BOUND_VARIABLE_292850) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292850)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3744 BOUND_VARIABLE_292848)) BOUND_VARIABLE_292849))))))) (let ((_let_17536 (forall ((BOUND_VARIABLE_292813 tptp.set_nat) (BOUND_VARIABLE_292814 tptp.set_nat) (BOUND_VARIABLE_292815 tptp.product_prod_nat_nat)) (= (ll_2434 BOUND_VARIABLE_292813 BOUND_VARIABLE_292814 BOUND_VARIABLE_292815) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292815)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3743 BOUND_VARIABLE_292813)) BOUND_VARIABLE_292814))))))) (let ((_let_17537 (forall ((BOUND_VARIABLE_292753 tptp.set_nat) (BOUND_VARIABLE_292754 tptp.set_nat) (BOUND_VARIABLE_292755 tptp.set_nat) (BOUND_VARIABLE_292756 tptp.product_prod_nat_nat)) (= (ll_2433 BOUND_VARIABLE_292753 BOUND_VARIABLE_292754 BOUND_VARIABLE_292755 BOUND_VARIABLE_292756) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292756)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3742 BOUND_VARIABLE_292753)) (@ tptp.collect_nat (@ (@ ll_3741 BOUND_VARIABLE_292754) BOUND_VARIABLE_292755))))))))) (let ((_let_17538 (forall ((BOUND_VARIABLE_292706 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_292707 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_292708 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292709 tptp.produc3843707927480180839at_nat)) (= (ll_2432 BOUND_VARIABLE_292706 BOUND_VARIABLE_292707 BOUND_VARIABLE_292708 BOUND_VARIABLE_292709) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_292709)) (@ (@ tptp.image_6898982319499645995at_nat (@ (@ ll_3740 BOUND_VARIABLE_292706) BOUND_VARIABLE_292707)) BOUND_VARIABLE_292708))))))) (let ((_let_17539 (forall ((BOUND_VARIABLE_292619 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_292620 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_292621 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292622 tptp.produc3843707927480180839at_nat)) (= (ll_2431 BOUND_VARIABLE_292619 BOUND_VARIABLE_292620 BOUND_VARIABLE_292621 BOUND_VARIABLE_292622) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_292622)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3739 BOUND_VARIABLE_292619) BOUND_VARIABLE_292620) BOUND_VARIABLE_292621)) tptp.top_top_set_o))))))) (let ((_let_17540 (forall ((BOUND_VARIABLE_292608 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_292609 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_292610 tptp.product_prod_nat_nat)) (= (@ (@ tptp.sup_su6327502436637775413at_nat (@ BOUND_VARIABLE_292608 BOUND_VARIABLE_292610)) (@ BOUND_VARIABLE_292609 BOUND_VARIABLE_292610)) (ll_2430 BOUND_VARIABLE_292608 BOUND_VARIABLE_292609 BOUND_VARIABLE_292610))))) (let ((_let_17541 (forall ((BOUND_VARIABLE_292594 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_292595 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_292596 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_292597 Bool)) (let ((_let_1 (@ tptp.produc2761391749766926216at_nat BOUND_VARIABLE_292595))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_292597) (@ _let_1 BOUND_VARIABLE_292594)) (@ _let_1 BOUND_VARIABLE_292596)) (ll_2429 BOUND_VARIABLE_292594 BOUND_VARIABLE_292595 BOUND_VARIABLE_292596 BOUND_VARIABLE_292597)))))) (let ((_let_17542 (forall ((BOUND_VARIABLE_292557 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292558 tptp.set_nat) (BOUND_VARIABLE_292559 tptp.product_prod_nat_nat)) (= (ll_2428 BOUND_VARIABLE_292557 BOUND_VARIABLE_292558 BOUND_VARIABLE_292559) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292559)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3738 BOUND_VARIABLE_292557)) BOUND_VARIABLE_292558))))))) (let ((_let_17543 (forall ((BOUND_VARIABLE_292520 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292521 tptp.set_nat) (BOUND_VARIABLE_292522 tptp.product_prod_nat_nat)) (= (ll_2427 BOUND_VARIABLE_292520 BOUND_VARIABLE_292521 BOUND_VARIABLE_292522) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292522)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3737 BOUND_VARIABLE_292520)) BOUND_VARIABLE_292521))))))) (let ((_let_17544 (forall ((BOUND_VARIABLE_292460 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292461 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292462 tptp.set_nat) (BOUND_VARIABLE_292463 tptp.product_prod_nat_nat)) (= (ll_2426 BOUND_VARIABLE_292460 BOUND_VARIABLE_292461 BOUND_VARIABLE_292462 BOUND_VARIABLE_292463) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292463)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3736 BOUND_VARIABLE_292460) BOUND_VARIABLE_292461)) BOUND_VARIABLE_292462))))))) (let ((_let_17545 (forall ((BOUND_VARIABLE_292445 tptp.set_o) (BOUND_VARIABLE_292446 (-> Bool tptp.nat)) (BOUND_VARIABLE_292447 (-> Bool tptp.nat)) (BOUND_VARIABLE_292448 Bool)) (= (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o BOUND_VARIABLE_292448) BOUND_VARIABLE_292445)) (@ BOUND_VARIABLE_292446 BOUND_VARIABLE_292448)) (@ BOUND_VARIABLE_292447 BOUND_VARIABLE_292448)) (ll_2425 BOUND_VARIABLE_292445 BOUND_VARIABLE_292446 BOUND_VARIABLE_292447 BOUND_VARIABLE_292448))))) (let ((_let_17546 (forall ((BOUND_VARIABLE_292429 (-> tptp.int Bool)) (BOUND_VARIABLE_292430 tptp.set_int) (BOUND_VARIABLE_292431 (-> tptp.int Bool)) (BOUND_VARIABLE_292432 tptp.int)) (let ((_let_1 (@ (@ tptp.member_int BOUND_VARIABLE_292432) BOUND_VARIABLE_292430))) (= (ll_2424 BOUND_VARIABLE_292429 BOUND_VARIABLE_292430 BOUND_VARIABLE_292431 BOUND_VARIABLE_292432) (and (or (not _let_1) (@ BOUND_VARIABLE_292429 BOUND_VARIABLE_292432)) (or _let_1 (@ BOUND_VARIABLE_292431 BOUND_VARIABLE_292432)))))))) (let ((_let_17547 (forall ((BOUND_VARIABLE_292413 (-> tptp.nat Bool)) (BOUND_VARIABLE_292414 tptp.set_nat) (BOUND_VARIABLE_292415 (-> tptp.nat Bool)) (BOUND_VARIABLE_292416 tptp.nat)) (let ((_let_1 (@ (@ tptp.member_nat BOUND_VARIABLE_292416) BOUND_VARIABLE_292414))) (= (ll_2423 BOUND_VARIABLE_292413 BOUND_VARIABLE_292414 BOUND_VARIABLE_292415 BOUND_VARIABLE_292416) (and (or (not _let_1) (@ BOUND_VARIABLE_292413 BOUND_VARIABLE_292416)) (or _let_1 (@ BOUND_VARIABLE_292415 BOUND_VARIABLE_292416)))))))) (let ((_let_17548 (forall ((BOUND_VARIABLE_292382 tptp.set_nat) (BOUND_VARIABLE_292383 tptp.set_nat) (BOUND_VARIABLE_292384 tptp.nat)) (= (ll_2422 BOUND_VARIABLE_292382 BOUND_VARIABLE_292383 BOUND_VARIABLE_292384) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_292384)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3735 BOUND_VARIABLE_292382) BOUND_VARIABLE_292383)) tptp.top_top_set_o))))))) (let ((_let_17549 (forall ((BOUND_VARIABLE_292366 (-> Bool Bool)) (BOUND_VARIABLE_292367 tptp.set_o) (BOUND_VARIABLE_292368 (-> Bool Bool)) (BOUND_VARIABLE_292369 Bool)) (let ((_let_1 (@ (@ tptp.member_o BOUND_VARIABLE_292369) BOUND_VARIABLE_292367))) (= (ll_2421 BOUND_VARIABLE_292366 BOUND_VARIABLE_292367 BOUND_VARIABLE_292368 BOUND_VARIABLE_292369) (and (or (not _let_1) (@ BOUND_VARIABLE_292366 BOUND_VARIABLE_292369)) (or _let_1 (@ BOUND_VARIABLE_292368 BOUND_VARIABLE_292369)))))))) (let ((_let_17550 (forall ((BOUND_VARIABLE_292351 tptp.set_int) (BOUND_VARIABLE_292352 (-> tptp.int tptp.product_unit)) (BOUND_VARIABLE_292353 (-> tptp.int tptp.product_unit)) (BOUND_VARIABLE_292354 tptp.int)) (= (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_int BOUND_VARIABLE_292354) BOUND_VARIABLE_292351)) (@ BOUND_VARIABLE_292352 BOUND_VARIABLE_292354)) (@ BOUND_VARIABLE_292353 BOUND_VARIABLE_292354)) (ll_2420 BOUND_VARIABLE_292351 BOUND_VARIABLE_292352 BOUND_VARIABLE_292353 BOUND_VARIABLE_292354))))) (let ((_let_17551 (forall ((BOUND_VARIABLE_292336 tptp.set_nat) (BOUND_VARIABLE_292337 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_292338 (-> tptp.nat tptp.product_unit)) (BOUND_VARIABLE_292339 tptp.nat)) (= (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_nat BOUND_VARIABLE_292339) BOUND_VARIABLE_292336)) (@ BOUND_VARIABLE_292337 BOUND_VARIABLE_292339)) (@ BOUND_VARIABLE_292338 BOUND_VARIABLE_292339)) (ll_2419 BOUND_VARIABLE_292336 BOUND_VARIABLE_292337 BOUND_VARIABLE_292338 BOUND_VARIABLE_292339))))) (let ((_let_17552 (forall ((BOUND_VARIABLE_292305 tptp.set_nat) (BOUND_VARIABLE_292306 tptp.set_nat) (BOUND_VARIABLE_292307 tptp.nat)) (= (ll_2418 BOUND_VARIABLE_292305 BOUND_VARIABLE_292306 BOUND_VARIABLE_292307) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_292307)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3734 BOUND_VARIABLE_292305) BOUND_VARIABLE_292306)) tptp.top_top_set_o))))))) (let ((_let_17553 (forall ((BOUND_VARIABLE_292290 tptp.set_o) (BOUND_VARIABLE_292291 (-> Bool tptp.product_unit)) (BOUND_VARIABLE_292292 (-> Bool tptp.product_unit)) (BOUND_VARIABLE_292293 Bool)) (= (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_o BOUND_VARIABLE_292293) BOUND_VARIABLE_292290)) (@ BOUND_VARIABLE_292291 BOUND_VARIABLE_292293)) (@ BOUND_VARIABLE_292292 BOUND_VARIABLE_292293)) (ll_2417 BOUND_VARIABLE_292290 BOUND_VARIABLE_292291 BOUND_VARIABLE_292292 BOUND_VARIABLE_292293))))) (let ((_let_17554 (forall ((BOUND_VARIABLE_292275 tptp.set_int) (BOUND_VARIABLE_292276 (-> tptp.int tptp.int)) (BOUND_VARIABLE_292277 (-> tptp.int tptp.int)) (BOUND_VARIABLE_292278 tptp.int)) (= (@ (@ (@ tptp.if_int (@ (@ tptp.member_int BOUND_VARIABLE_292278) BOUND_VARIABLE_292275)) (@ BOUND_VARIABLE_292276 BOUND_VARIABLE_292278)) (@ BOUND_VARIABLE_292277 BOUND_VARIABLE_292278)) (ll_2416 BOUND_VARIABLE_292275 BOUND_VARIABLE_292276 BOUND_VARIABLE_292277 BOUND_VARIABLE_292278))))) (let ((_let_17555 (forall ((BOUND_VARIABLE_292260 tptp.set_nat) (BOUND_VARIABLE_292261 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_292262 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_292263 tptp.nat)) (= (@ (@ (@ tptp.if_int (@ (@ tptp.member_nat BOUND_VARIABLE_292263) BOUND_VARIABLE_292260)) (@ BOUND_VARIABLE_292261 BOUND_VARIABLE_292263)) (@ BOUND_VARIABLE_292262 BOUND_VARIABLE_292263)) (ll_2415 BOUND_VARIABLE_292260 BOUND_VARIABLE_292261 BOUND_VARIABLE_292262 BOUND_VARIABLE_292263))))) (let ((_let_17556 (forall ((BOUND_VARIABLE_292229 tptp.set_nat) (BOUND_VARIABLE_292230 tptp.set_nat) (BOUND_VARIABLE_292231 tptp.nat)) (= (ll_2414 BOUND_VARIABLE_292229 BOUND_VARIABLE_292230 BOUND_VARIABLE_292231) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_292231)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3733 BOUND_VARIABLE_292229) BOUND_VARIABLE_292230)) tptp.top_top_set_o))))))) (let ((_let_17557 (forall ((BOUND_VARIABLE_292214 tptp.set_nat) (BOUND_VARIABLE_292215 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_292216 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_292217 tptp.nat)) (= (@ (@ (@ tptp.if_rat (@ (@ tptp.member_nat BOUND_VARIABLE_292217) BOUND_VARIABLE_292214)) (@ BOUND_VARIABLE_292215 BOUND_VARIABLE_292217)) (@ BOUND_VARIABLE_292216 BOUND_VARIABLE_292217)) (ll_2413 BOUND_VARIABLE_292214 BOUND_VARIABLE_292215 BOUND_VARIABLE_292216 BOUND_VARIABLE_292217))))) (let ((_let_17558 (forall ((BOUND_VARIABLE_292183 tptp.set_nat) (BOUND_VARIABLE_292184 tptp.set_nat) (BOUND_VARIABLE_292185 tptp.nat)) (= (ll_2412 BOUND_VARIABLE_292183 BOUND_VARIABLE_292184 BOUND_VARIABLE_292185) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_292185)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3732 BOUND_VARIABLE_292183) BOUND_VARIABLE_292184)) tptp.top_top_set_o))))))) (let ((_let_17559 (forall ((BOUND_VARIABLE_292143 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292144 tptp.set_nat) (BOUND_VARIABLE_292145 tptp.set_nat) (BOUND_VARIABLE_292146 tptp.product_prod_nat_nat)) (= (ll_2411 BOUND_VARIABLE_292143 BOUND_VARIABLE_292144 BOUND_VARIABLE_292145 BOUND_VARIABLE_292146) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292146)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3731 BOUND_VARIABLE_292143)) (@ (@ tptp.inf_inf_set_nat BOUND_VARIABLE_292144) BOUND_VARIABLE_292145)))))))) (let ((_let_17560 (forall ((BOUND_VARIABLE_292106 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292107 tptp.set_nat) (BOUND_VARIABLE_292108 tptp.product_prod_nat_nat)) (= (ll_2410 BOUND_VARIABLE_292106 BOUND_VARIABLE_292107 BOUND_VARIABLE_292108) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292108)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3730 BOUND_VARIABLE_292106)) BOUND_VARIABLE_292107))))))) (let ((_let_17561 (forall ((BOUND_VARIABLE_292069 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_292070 tptp.set_nat) (BOUND_VARIABLE_292071 tptp.product_prod_nat_nat)) (= (ll_2409 BOUND_VARIABLE_292069 BOUND_VARIABLE_292070 BOUND_VARIABLE_292071) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_292071)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3729 BOUND_VARIABLE_292069)) BOUND_VARIABLE_292070))))))) (let ((_let_17562 (forall ((BOUND_VARIABLE_292029 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_292030 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292031 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_292032 tptp.produc3843707927480180839at_nat)) (= (ll_2408 BOUND_VARIABLE_292029 BOUND_VARIABLE_292030 BOUND_VARIABLE_292031 BOUND_VARIABLE_292032) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_292032)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3728 BOUND_VARIABLE_292029)) (@ (@ tptp.sup_su3642409539654194069at_nat BOUND_VARIABLE_292030) BOUND_VARIABLE_292031)))))))) (let ((_let_17563 (forall ((BOUND_VARIABLE_291958 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_291959 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_291960 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_291961 tptp.produc3843707927480180839at_nat)) (= (ll_2407 BOUND_VARIABLE_291958 BOUND_VARIABLE_291959 BOUND_VARIABLE_291960 BOUND_VARIABLE_291961) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_291961)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3727 BOUND_VARIABLE_291958) BOUND_VARIABLE_291959) BOUND_VARIABLE_291960)) tptp.top_top_set_o))))))) (let ((_let_17564 (forall ((BOUND_VARIABLE_291943 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291944 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291945 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291946 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_291946) (@ (@ tptp.produc2761391749766926216at_nat BOUND_VARIABLE_291943) BOUND_VARIABLE_291945)) (@ (@ tptp.produc2761391749766926216at_nat BOUND_VARIABLE_291944) BOUND_VARIABLE_291945)) (ll_2406 BOUND_VARIABLE_291943 BOUND_VARIABLE_291944 BOUND_VARIABLE_291945 BOUND_VARIABLE_291946))))) (let ((_let_17565 (forall ((BOUND_VARIABLE_291906 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_291907 tptp.set_nat) (BOUND_VARIABLE_291908 tptp.product_prod_nat_nat)) (= (ll_2405 BOUND_VARIABLE_291906 BOUND_VARIABLE_291907 BOUND_VARIABLE_291908) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291908)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3726 BOUND_VARIABLE_291906)) BOUND_VARIABLE_291907))))))) (let ((_let_17566 (forall ((BOUND_VARIABLE_291869 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_291870 tptp.set_nat) (BOUND_VARIABLE_291871 tptp.product_prod_nat_nat)) (= (ll_2404 BOUND_VARIABLE_291869 BOUND_VARIABLE_291870 BOUND_VARIABLE_291871) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291871)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3725 BOUND_VARIABLE_291869)) BOUND_VARIABLE_291870))))))) (let ((_let_17567 (forall ((BOUND_VARIABLE_291807 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_291808 tptp.set_nat) (BOUND_VARIABLE_291809 tptp.set_nat) (BOUND_VARIABLE_291810 tptp.product_prod_nat_nat)) (= (ll_2403 BOUND_VARIABLE_291807 BOUND_VARIABLE_291808 BOUND_VARIABLE_291809 BOUND_VARIABLE_291810) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291810)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3724 BOUND_VARIABLE_291807)) (@ tptp.collect_nat (@ (@ ll_3723 BOUND_VARIABLE_291808) BOUND_VARIABLE_291809))))))))) (let ((_let_17568 (forall ((BOUND_VARIABLE_291776 tptp.set_nat) (BOUND_VARIABLE_291777 tptp.set_nat) (BOUND_VARIABLE_291778 tptp.nat)) (= (ll_2402 BOUND_VARIABLE_291776 BOUND_VARIABLE_291777 BOUND_VARIABLE_291778) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291778)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3722 BOUND_VARIABLE_291776) BOUND_VARIABLE_291777)) tptp.top_top_set_o))))))) (let ((_let_17569 (forall ((BOUND_VARIABLE_291745 tptp.set_nat) (BOUND_VARIABLE_291746 tptp.set_nat) (BOUND_VARIABLE_291747 tptp.nat)) (= (ll_2401 BOUND_VARIABLE_291745 BOUND_VARIABLE_291746 BOUND_VARIABLE_291747) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291747)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3721 BOUND_VARIABLE_291745) BOUND_VARIABLE_291746)) tptp.top_top_set_o))))))) (let ((_let_17570 (forall ((BOUND_VARIABLE_291713 tptp.set_nat) (BOUND_VARIABLE_291714 tptp.set_nat) (BOUND_VARIABLE_291715 tptp.nat)) (= (ll_2400 BOUND_VARIABLE_291713 BOUND_VARIABLE_291714 BOUND_VARIABLE_291715) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291715)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3720 BOUND_VARIABLE_291713) BOUND_VARIABLE_291714)) tptp.top_top_set_o))))))) (let ((_let_17571 (forall ((BOUND_VARIABLE_291707 tptp.set_Code_integer) (BOUND_VARIABLE_291708 tptp.code_integer)) (= BOUND_VARIABLE_291707 (ll_2399 BOUND_VARIABLE_291707 BOUND_VARIABLE_291708))))) (let ((_let_17572 (forall ((BOUND_VARIABLE_291691 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_291692 Bool) (BOUND_VARIABLE_291693 tptp.set_o) (BOUND_VARIABLE_291694 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291694)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_291691) (@ (@ tptp.insert_o BOUND_VARIABLE_291692) BOUND_VARIABLE_291693)))) (ll_2398 BOUND_VARIABLE_291691 BOUND_VARIABLE_291692 BOUND_VARIABLE_291693 BOUND_VARIABLE_291694))))) (let ((_let_17573 (forall ((BOUND_VARIABLE_291678 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_291679 tptp.set_o) (BOUND_VARIABLE_291680 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291680)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_291678) BOUND_VARIABLE_291679))) (ll_2397 BOUND_VARIABLE_291678 BOUND_VARIABLE_291679 BOUND_VARIABLE_291680))))) (let ((_let_17574 (forall ((BOUND_VARIABLE_291662 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_291663 tptp.product_unit) (BOUND_VARIABLE_291664 tptp.set_Product_unit) (BOUND_VARIABLE_291665 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291665)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_291662) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_291663) BOUND_VARIABLE_291664)))) (ll_2396 BOUND_VARIABLE_291662 BOUND_VARIABLE_291663 BOUND_VARIABLE_291664 BOUND_VARIABLE_291665))))) (let ((_let_17575 (forall ((BOUND_VARIABLE_291649 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_291650 tptp.set_Product_unit) (BOUND_VARIABLE_291651 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291651)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_291649) BOUND_VARIABLE_291650))) (ll_2395 BOUND_VARIABLE_291649 BOUND_VARIABLE_291650 BOUND_VARIABLE_291651))))) (let ((_let_17576 (forall ((BOUND_VARIABLE_291633 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_291634 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_291635 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291636 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291636)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_291633) (@ (@ tptp.insert9069300056098147895at_nat BOUND_VARIABLE_291634) BOUND_VARIABLE_291635)))) (ll_2394 BOUND_VARIABLE_291633 BOUND_VARIABLE_291634 BOUND_VARIABLE_291635 BOUND_VARIABLE_291636))))) (let ((_let_17577 (forall ((BOUND_VARIABLE_291620 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_291621 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291622 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291622)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_291620) BOUND_VARIABLE_291621))) (ll_2393 BOUND_VARIABLE_291620 BOUND_VARIABLE_291621 BOUND_VARIABLE_291622))))) (let ((_let_17578 (forall ((BOUND_VARIABLE_291604 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_291605 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291606 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291607 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291607)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_291604) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_291605) BOUND_VARIABLE_291606)))) (ll_2392 BOUND_VARIABLE_291604 BOUND_VARIABLE_291605 BOUND_VARIABLE_291606 BOUND_VARIABLE_291607))))) (let ((_let_17579 (forall ((BOUND_VARIABLE_291591 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_291592 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291593 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291593)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_291591) BOUND_VARIABLE_291592))) (ll_2391 BOUND_VARIABLE_291591 BOUND_VARIABLE_291592 BOUND_VARIABLE_291593))))) (let ((_let_17580 (forall ((BOUND_VARIABLE_291575 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_291576 tptp.nat) (BOUND_VARIABLE_291577 tptp.set_nat) (BOUND_VARIABLE_291578 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291578)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_291575) (@ (@ tptp.insert_nat BOUND_VARIABLE_291576) BOUND_VARIABLE_291577)))) (ll_2390 BOUND_VARIABLE_291575 BOUND_VARIABLE_291576 BOUND_VARIABLE_291577 BOUND_VARIABLE_291578))))) (let ((_let_17581 (forall ((BOUND_VARIABLE_291562 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_291563 tptp.set_nat) (BOUND_VARIABLE_291564 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291564)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_291562) BOUND_VARIABLE_291563))) (ll_2389 BOUND_VARIABLE_291562 BOUND_VARIABLE_291563 BOUND_VARIABLE_291564))))) (let ((_let_17582 (forall ((BOUND_VARIABLE_291546 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291547 Bool) (BOUND_VARIABLE_291548 tptp.set_o) (BOUND_VARIABLE_291549 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291549)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_291546) (@ (@ tptp.insert_o BOUND_VARIABLE_291547) BOUND_VARIABLE_291548)))) (ll_2388 BOUND_VARIABLE_291546 BOUND_VARIABLE_291547 BOUND_VARIABLE_291548 BOUND_VARIABLE_291549))))) (let ((_let_17583 (forall ((BOUND_VARIABLE_291533 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291534 tptp.set_o) (BOUND_VARIABLE_291535 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291535)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_291533) BOUND_VARIABLE_291534))) (ll_2387 BOUND_VARIABLE_291533 BOUND_VARIABLE_291534 BOUND_VARIABLE_291535))))) (let ((_let_17584 (forall ((BOUND_VARIABLE_291517 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291518 tptp.product_unit) (BOUND_VARIABLE_291519 tptp.set_Product_unit) (BOUND_VARIABLE_291520 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291520)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_291517) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_291518) BOUND_VARIABLE_291519)))) (ll_2386 BOUND_VARIABLE_291517 BOUND_VARIABLE_291518 BOUND_VARIABLE_291519 BOUND_VARIABLE_291520))))) (let ((_let_17585 (forall ((BOUND_VARIABLE_291504 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291505 tptp.set_Product_unit) (BOUND_VARIABLE_291506 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291506)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_291504) BOUND_VARIABLE_291505))) (ll_2385 BOUND_VARIABLE_291504 BOUND_VARIABLE_291505 BOUND_VARIABLE_291506))))) (let ((_let_17586 (forall ((BOUND_VARIABLE_291488 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291489 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_291490 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291491 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291491)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_291488) (@ (@ tptp.insert9069300056098147895at_nat BOUND_VARIABLE_291489) BOUND_VARIABLE_291490)))) (ll_2384 BOUND_VARIABLE_291488 BOUND_VARIABLE_291489 BOUND_VARIABLE_291490 BOUND_VARIABLE_291491))))) (let ((_let_17587 (forall ((BOUND_VARIABLE_291475 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291476 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_291477 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291477)) (@ (@ tptp.image_7979982168039674559at_nat BOUND_VARIABLE_291475) BOUND_VARIABLE_291476))) (ll_2383 BOUND_VARIABLE_291475 BOUND_VARIABLE_291476 BOUND_VARIABLE_291477))))) (let ((_let_17588 (forall ((BOUND_VARIABLE_291459 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291460 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291461 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291462 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291462)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_291459) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_291460) BOUND_VARIABLE_291461)))) (ll_2382 BOUND_VARIABLE_291459 BOUND_VARIABLE_291460 BOUND_VARIABLE_291461 BOUND_VARIABLE_291462))))) (let ((_let_17589 (forall ((BOUND_VARIABLE_291446 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291447 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291448 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291448)) (@ (@ tptp.image_5423882813909314213at_nat BOUND_VARIABLE_291446) BOUND_VARIABLE_291447))) (ll_2381 BOUND_VARIABLE_291446 BOUND_VARIABLE_291447 BOUND_VARIABLE_291448))))) (let ((_let_17590 (forall ((BOUND_VARIABLE_291430 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291431 tptp.nat) (BOUND_VARIABLE_291432 tptp.set_nat) (BOUND_VARIABLE_291433 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291433)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_291430) (@ (@ tptp.insert_nat BOUND_VARIABLE_291431) BOUND_VARIABLE_291432)))) (ll_2380 BOUND_VARIABLE_291430 BOUND_VARIABLE_291431 BOUND_VARIABLE_291432 BOUND_VARIABLE_291433))))) (let ((_let_17591 (forall ((BOUND_VARIABLE_291417 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_291418 tptp.set_nat) (BOUND_VARIABLE_291419 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_291419)) (@ (@ tptp.image_7178329752028323786at_nat BOUND_VARIABLE_291417) BOUND_VARIABLE_291418))) (ll_2379 BOUND_VARIABLE_291417 BOUND_VARIABLE_291418 BOUND_VARIABLE_291419))))) (let ((_let_17592 (forall ((BOUND_VARIABLE_291401 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_291402 tptp.product_unit) (BOUND_VARIABLE_291403 tptp.set_Product_unit) (BOUND_VARIABLE_291404 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_291404)) (@ (@ tptp.image_5172358348707908735at_nat BOUND_VARIABLE_291401) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_291402) BOUND_VARIABLE_291403)))) (ll_2378 BOUND_VARIABLE_291401 BOUND_VARIABLE_291402 BOUND_VARIABLE_291403 BOUND_VARIABLE_291404))))) (let ((_let_17593 (forall ((BOUND_VARIABLE_291352 tptp.product_unit) (BOUND_VARIABLE_291353 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_291354 tptp.set_Product_unit) (BOUND_VARIABLE_291355 tptp.produc3843707927480180839at_nat)) (= (ll_2377 BOUND_VARIABLE_291352 BOUND_VARIABLE_291353 BOUND_VARIABLE_291354 BOUND_VARIABLE_291355) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_291355)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3719 BOUND_VARIABLE_291352) BOUND_VARIABLE_291353) BOUND_VARIABLE_291354)) tptp.top_top_set_o))))))) (let ((_let_17594 (forall ((BOUND_VARIABLE_291336 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_291337 tptp.nat) (BOUND_VARIABLE_291338 tptp.set_nat) (BOUND_VARIABLE_291339 tptp.produc3843707927480180839at_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_291339)) (@ (@ tptp.image_1087905878993176368at_nat BOUND_VARIABLE_291336) (@ (@ tptp.insert_nat BOUND_VARIABLE_291337) BOUND_VARIABLE_291338)))) (ll_2376 BOUND_VARIABLE_291336 BOUND_VARIABLE_291337 BOUND_VARIABLE_291338 BOUND_VARIABLE_291339))))) (let ((_let_17595 (forall ((BOUND_VARIABLE_291287 tptp.nat) (BOUND_VARIABLE_291288 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_291289 tptp.set_nat) (BOUND_VARIABLE_291290 tptp.produc3843707927480180839at_nat)) (= (ll_2375 BOUND_VARIABLE_291287 BOUND_VARIABLE_291288 BOUND_VARIABLE_291289 BOUND_VARIABLE_291290) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_291290)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3718 BOUND_VARIABLE_291287) BOUND_VARIABLE_291288) BOUND_VARIABLE_291289)) tptp.top_top_set_o))))))) (let ((_let_17596 (forall ((BOUND_VARIABLE_291272 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291273 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_291274 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291275 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_291275) (@ BOUND_VARIABLE_291273 BOUND_VARIABLE_291272)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat BOUND_VARIABLE_291273) BOUND_VARIABLE_291274))) (ll_2374 BOUND_VARIABLE_291272 BOUND_VARIABLE_291273 BOUND_VARIABLE_291274 BOUND_VARIABLE_291275))))) (let ((_let_17597 (forall ((BOUND_VARIABLE_291257 Bool) (BOUND_VARIABLE_291258 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_291259 tptp.set_o) (BOUND_VARIABLE_291260 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_291260) (@ BOUND_VARIABLE_291258 BOUND_VARIABLE_291257)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat BOUND_VARIABLE_291258) BOUND_VARIABLE_291259))) (ll_2373 BOUND_VARIABLE_291257 BOUND_VARIABLE_291258 BOUND_VARIABLE_291259 BOUND_VARIABLE_291260))))) (let ((_let_17598 (forall ((BOUND_VARIABLE_291242 tptp.product_unit) (BOUND_VARIABLE_291243 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_291244 tptp.set_Product_unit) (BOUND_VARIABLE_291245 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_291245) (@ BOUND_VARIABLE_291243 BOUND_VARIABLE_291242)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat BOUND_VARIABLE_291243) BOUND_VARIABLE_291244))) (ll_2372 BOUND_VARIABLE_291242 BOUND_VARIABLE_291243 BOUND_VARIABLE_291244 BOUND_VARIABLE_291245))))) (let ((_let_17599 (forall ((BOUND_VARIABLE_291227 tptp.nat) (BOUND_VARIABLE_291228 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_291229 tptp.set_nat) (BOUND_VARIABLE_291230 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_291230) (@ BOUND_VARIABLE_291228 BOUND_VARIABLE_291227)) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat BOUND_VARIABLE_291228) BOUND_VARIABLE_291229))) (ll_2371 BOUND_VARIABLE_291227 BOUND_VARIABLE_291228 BOUND_VARIABLE_291229 BOUND_VARIABLE_291230))))) (let ((_let_17600 (forall ((BOUND_VARIABLE_291211 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_291212 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291213 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291214 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291214)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_291211) (@ (@ tptp.insert8211810215607154385at_nat BOUND_VARIABLE_291212) BOUND_VARIABLE_291213)))) (ll_2370 BOUND_VARIABLE_291211 BOUND_VARIABLE_291212 BOUND_VARIABLE_291213 BOUND_VARIABLE_291214))))) (let ((_let_17601 (forall ((BOUND_VARIABLE_291162 tptp.product_prod_nat_nat) (BOUND_VARIABLE_291163 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_291164 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_291165 tptp.nat)) (= (ll_2369 BOUND_VARIABLE_291162 BOUND_VARIABLE_291163 BOUND_VARIABLE_291164 BOUND_VARIABLE_291165) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291165)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3717 BOUND_VARIABLE_291162) BOUND_VARIABLE_291163) BOUND_VARIABLE_291164)) tptp.top_top_set_o))))))) (let ((_let_17602 (forall ((BOUND_VARIABLE_291146 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_291147 Bool) (BOUND_VARIABLE_291148 tptp.set_o) (BOUND_VARIABLE_291149 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291149)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_291146) (@ (@ tptp.insert_o BOUND_VARIABLE_291147) BOUND_VARIABLE_291148)))) (ll_2368 BOUND_VARIABLE_291146 BOUND_VARIABLE_291147 BOUND_VARIABLE_291148 BOUND_VARIABLE_291149))))) (let ((_let_17603 (forall ((BOUND_VARIABLE_291097 Bool) (BOUND_VARIABLE_291098 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_291099 tptp.set_o) (BOUND_VARIABLE_291100 tptp.nat)) (= (ll_2367 BOUND_VARIABLE_291097 BOUND_VARIABLE_291098 BOUND_VARIABLE_291099 BOUND_VARIABLE_291100) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291100)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3716 BOUND_VARIABLE_291097) BOUND_VARIABLE_291098) BOUND_VARIABLE_291099)) tptp.top_top_set_o))))))) (let ((_let_17604 (forall ((BOUND_VARIABLE_291081 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_291082 tptp.product_unit) (BOUND_VARIABLE_291083 tptp.set_Product_unit) (BOUND_VARIABLE_291084 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291084)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_291081) (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_291082) BOUND_VARIABLE_291083)))) (ll_2366 BOUND_VARIABLE_291081 BOUND_VARIABLE_291082 BOUND_VARIABLE_291083 BOUND_VARIABLE_291084))))) (let ((_let_17605 (forall ((BOUND_VARIABLE_291032 tptp.product_unit) (BOUND_VARIABLE_291033 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_291034 tptp.set_Product_unit) (BOUND_VARIABLE_291035 tptp.nat)) (= (ll_2365 BOUND_VARIABLE_291032 BOUND_VARIABLE_291033 BOUND_VARIABLE_291034 BOUND_VARIABLE_291035) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291035)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3715 BOUND_VARIABLE_291032) BOUND_VARIABLE_291033) BOUND_VARIABLE_291034)) tptp.top_top_set_o))))))) (let ((_let_17606 (forall ((BOUND_VARIABLE_291016 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_291017 tptp.nat) (BOUND_VARIABLE_291018 tptp.set_nat) (BOUND_VARIABLE_291019 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_291019)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_291016) (@ (@ tptp.insert_nat BOUND_VARIABLE_291017) BOUND_VARIABLE_291018)))) (ll_2364 BOUND_VARIABLE_291016 BOUND_VARIABLE_291017 BOUND_VARIABLE_291018 BOUND_VARIABLE_291019))))) (let ((_let_17607 (forall ((BOUND_VARIABLE_290967 tptp.nat) (BOUND_VARIABLE_290968 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_290969 tptp.set_nat) (BOUND_VARIABLE_290970 tptp.nat)) (= (ll_2363 BOUND_VARIABLE_290967 BOUND_VARIABLE_290968 BOUND_VARIABLE_290969 BOUND_VARIABLE_290970) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290970)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3714 BOUND_VARIABLE_290967) BOUND_VARIABLE_290968) BOUND_VARIABLE_290969)) tptp.top_top_set_o))))))) (let ((_let_17608 (forall ((BOUND_VARIABLE_290934 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_290935 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_290936 tptp.product_prod_nat_nat)) (= (ll_2362 BOUND_VARIABLE_290934 BOUND_VARIABLE_290935 BOUND_VARIABLE_290936) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_290936)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3713 BOUND_VARIABLE_290934) BOUND_VARIABLE_290935)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17609 (forall ((BOUND_VARIABLE_290899 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_290900 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_290901 tptp.set_Product_unit) (BOUND_VARIABLE_290902 tptp.product_prod_nat_nat)) (= (ll_2361 BOUND_VARIABLE_290899 BOUND_VARIABLE_290900 BOUND_VARIABLE_290901 BOUND_VARIABLE_290902) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_290902)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3712 BOUND_VARIABLE_290899) BOUND_VARIABLE_290900)) BOUND_VARIABLE_290901))))))) (let ((_let_17610 (forall ((BOUND_VARIABLE_290886 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_290887 tptp.set_Product_unit) (BOUND_VARIABLE_290888 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_290888)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_290886) BOUND_VARIABLE_290887))) (ll_2360 BOUND_VARIABLE_290886 BOUND_VARIABLE_290887 BOUND_VARIABLE_290888))))) (let ((_let_17611 (forall ((BOUND_VARIABLE_290839 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_290840 tptp.set_nat) (BOUND_VARIABLE_290841 tptp.nat)) (= (ll_2359 BOUND_VARIABLE_290839 BOUND_VARIABLE_290840 BOUND_VARIABLE_290841) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290841)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3711 BOUND_VARIABLE_290839) BOUND_VARIABLE_290840)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17612 (forall ((BOUND_VARIABLE_290790 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_290791 tptp.set_nat) (BOUND_VARIABLE_290792 tptp.set_nat) (BOUND_VARIABLE_290793 tptp.nat)) (= (ll_2358 BOUND_VARIABLE_290790 BOUND_VARIABLE_290791 BOUND_VARIABLE_290792 BOUND_VARIABLE_290793) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290793)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3710 BOUND_VARIABLE_290790) BOUND_VARIABLE_290791)) BOUND_VARIABLE_290792))))))) (let ((_let_17613 (forall ((BOUND_VARIABLE_290743 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_290744 tptp.set_nat) (BOUND_VARIABLE_290745 tptp.set_nat) (BOUND_VARIABLE_290746 tptp.nat)) (= (ll_2357 BOUND_VARIABLE_290743 BOUND_VARIABLE_290744 BOUND_VARIABLE_290745 BOUND_VARIABLE_290746) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290746)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3709 BOUND_VARIABLE_290743) BOUND_VARIABLE_290744) BOUND_VARIABLE_290745)) tptp.top_top_set_o))))))) (let ((_let_17614 (forall ((BOUND_VARIABLE_290696 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_290697 tptp.set_nat) (BOUND_VARIABLE_290698 tptp.nat)) (= (ll_2356 BOUND_VARIABLE_290696 BOUND_VARIABLE_290697 BOUND_VARIABLE_290698) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290698)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3708 BOUND_VARIABLE_290696) BOUND_VARIABLE_290697)) tptp.bot_bot_set_o))))))) (let ((_let_17615 (forall ((BOUND_VARIABLE_290647 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_290648 tptp.set_nat) (BOUND_VARIABLE_290649 tptp.set_o) (BOUND_VARIABLE_290650 tptp.nat)) (= (ll_2355 BOUND_VARIABLE_290647 BOUND_VARIABLE_290648 BOUND_VARIABLE_290649 BOUND_VARIABLE_290650) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290650)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3707 BOUND_VARIABLE_290647) BOUND_VARIABLE_290648)) BOUND_VARIABLE_290649))))))) (let ((_let_17616 (forall ((BOUND_VARIABLE_290600 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_290601 tptp.set_o) (BOUND_VARIABLE_290602 tptp.set_nat) (BOUND_VARIABLE_290603 tptp.nat)) (= (ll_2354 BOUND_VARIABLE_290600 BOUND_VARIABLE_290601 BOUND_VARIABLE_290602 BOUND_VARIABLE_290603) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290603)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3706 BOUND_VARIABLE_290600) BOUND_VARIABLE_290601) BOUND_VARIABLE_290602)) tptp.top_top_set_o))))))) (let ((_let_17617 (forall ((BOUND_VARIABLE_290553 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_290554 tptp.set_nat) (BOUND_VARIABLE_290555 tptp.nat)) (= (ll_2353 BOUND_VARIABLE_290553 BOUND_VARIABLE_290554 BOUND_VARIABLE_290555) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290555)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3705 BOUND_VARIABLE_290553) BOUND_VARIABLE_290554)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17618 (forall ((BOUND_VARIABLE_290505 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_290506 tptp.set_nat) (BOUND_VARIABLE_290507 tptp.set_Product_unit) (BOUND_VARIABLE_290508 tptp.nat)) (= (ll_2352 BOUND_VARIABLE_290505 BOUND_VARIABLE_290506 BOUND_VARIABLE_290507 BOUND_VARIABLE_290508) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290508)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3704 BOUND_VARIABLE_290505) BOUND_VARIABLE_290506)) BOUND_VARIABLE_290507))))))) (let ((_let_17619 (forall ((BOUND_VARIABLE_290458 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_290459 tptp.set_Product_unit) (BOUND_VARIABLE_290460 tptp.set_nat) (BOUND_VARIABLE_290461 tptp.nat)) (= (ll_2351 BOUND_VARIABLE_290458 BOUND_VARIABLE_290459 BOUND_VARIABLE_290460 BOUND_VARIABLE_290461) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290461)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3703 BOUND_VARIABLE_290458) BOUND_VARIABLE_290459) BOUND_VARIABLE_290460)) tptp.top_top_set_o))))))) (let ((_let_17620 (forall ((BOUND_VARIABLE_290425 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_290426 tptp.set_o) (BOUND_VARIABLE_290427 Bool)) (= (ll_2350 BOUND_VARIABLE_290425 BOUND_VARIABLE_290426 BOUND_VARIABLE_290427) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290427)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3702 BOUND_VARIABLE_290425) BOUND_VARIABLE_290426)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17621 (forall ((BOUND_VARIABLE_290390 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_290391 tptp.set_o) (BOUND_VARIABLE_290392 tptp.set_nat) (BOUND_VARIABLE_290393 Bool)) (= (ll_2349 BOUND_VARIABLE_290390 BOUND_VARIABLE_290391 BOUND_VARIABLE_290392 BOUND_VARIABLE_290393) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290393)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3701 BOUND_VARIABLE_290390) BOUND_VARIABLE_290391)) BOUND_VARIABLE_290392))))))) (let ((_let_17622 (forall ((BOUND_VARIABLE_290377 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_290378 tptp.set_nat) (BOUND_VARIABLE_290379 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290379)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_290377) BOUND_VARIABLE_290378))) (ll_2348 BOUND_VARIABLE_290377 BOUND_VARIABLE_290378 BOUND_VARIABLE_290379))))) (let ((_let_17623 (forall ((BOUND_VARIABLE_290367 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_290368 tptp.set_Product_unit) (BOUND_VARIABLE_290369 tptp.nat)) (= (@ (@ tptp.sup_su793286257634532545t_unit (@ BOUND_VARIABLE_290367 BOUND_VARIABLE_290369)) BOUND_VARIABLE_290368) (ll_2347 BOUND_VARIABLE_290367 BOUND_VARIABLE_290368 BOUND_VARIABLE_290369))))) (let ((_let_17624 (forall ((BOUND_VARIABLE_290357 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_290358 tptp.set_Product_unit) (BOUND_VARIABLE_290359 tptp.nat)) (= (@ (@ tptp.sup_su793286257634532545t_unit (@ BOUND_VARIABLE_290357 BOUND_VARIABLE_290359)) BOUND_VARIABLE_290358) (ll_2346 BOUND_VARIABLE_290357 BOUND_VARIABLE_290358 BOUND_VARIABLE_290359))))) (let ((_let_17625 (forall ((BOUND_VARIABLE_290324 (-> Bool tptp.set_o)) (BOUND_VARIABLE_290325 tptp.set_o) (BOUND_VARIABLE_290326 Bool)) (= (ll_2345 BOUND_VARIABLE_290324 BOUND_VARIABLE_290325 BOUND_VARIABLE_290326) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290326)) (@ (@ tptp.image_o_set_o (@ (@ ll_3700 BOUND_VARIABLE_290324) BOUND_VARIABLE_290325)) tptp.bot_bot_set_o))))))) (let ((_let_17626 (forall ((BOUND_VARIABLE_290289 (-> Bool tptp.set_o)) (BOUND_VARIABLE_290290 tptp.set_o) (BOUND_VARIABLE_290291 tptp.set_o) (BOUND_VARIABLE_290292 Bool)) (= (ll_2344 BOUND_VARIABLE_290289 BOUND_VARIABLE_290290 BOUND_VARIABLE_290291 BOUND_VARIABLE_290292) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290292)) (@ (@ tptp.image_o_set_o (@ (@ ll_3699 BOUND_VARIABLE_290289) BOUND_VARIABLE_290290)) BOUND_VARIABLE_290291))))))) (let ((_let_17627 (forall ((BOUND_VARIABLE_290276 (-> Bool tptp.set_o)) (BOUND_VARIABLE_290277 tptp.set_o) (BOUND_VARIABLE_290278 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290278)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_290276) BOUND_VARIABLE_290277))) (ll_2343 BOUND_VARIABLE_290276 BOUND_VARIABLE_290277 BOUND_VARIABLE_290278))))) (let ((_let_17628 (forall ((BOUND_VARIABLE_290266 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_290267 tptp.set_Product_unit) (BOUND_VARIABLE_290268 Bool)) (= (@ (@ tptp.sup_su793286257634532545t_unit (@ BOUND_VARIABLE_290266 BOUND_VARIABLE_290268)) BOUND_VARIABLE_290267) (ll_2342 BOUND_VARIABLE_290266 BOUND_VARIABLE_290267 BOUND_VARIABLE_290268))))) (let ((_let_17629 (forall ((BOUND_VARIABLE_290256 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_290257 tptp.set_Product_unit) (BOUND_VARIABLE_290258 Bool)) (= (@ (@ tptp.sup_su793286257634532545t_unit (@ BOUND_VARIABLE_290256 BOUND_VARIABLE_290258)) BOUND_VARIABLE_290257) (ll_2341 BOUND_VARIABLE_290256 BOUND_VARIABLE_290257 BOUND_VARIABLE_290258))))) (let ((_let_17630 (forall ((BOUND_VARIABLE_290223 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_290224 tptp.set_o) (BOUND_VARIABLE_290225 Bool)) (= (ll_2340 BOUND_VARIABLE_290223 BOUND_VARIABLE_290224 BOUND_VARIABLE_290225) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290225)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3698 BOUND_VARIABLE_290223) BOUND_VARIABLE_290224)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17631 (forall ((BOUND_VARIABLE_290188 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_290189 tptp.set_o) (BOUND_VARIABLE_290190 tptp.set_Product_unit) (BOUND_VARIABLE_290191 Bool)) (= (ll_2339 BOUND_VARIABLE_290188 BOUND_VARIABLE_290189 BOUND_VARIABLE_290190 BOUND_VARIABLE_290191) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290191)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3697 BOUND_VARIABLE_290188) BOUND_VARIABLE_290189)) BOUND_VARIABLE_290190))))))) (let ((_let_17632 (forall ((BOUND_VARIABLE_290175 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_290176 tptp.set_Product_unit) (BOUND_VARIABLE_290177 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_290177)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_290175) BOUND_VARIABLE_290176))) (ll_2338 BOUND_VARIABLE_290175 BOUND_VARIABLE_290176 BOUND_VARIABLE_290177))))) (let ((_let_17633 (forall ((BOUND_VARIABLE_290165 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_290166 tptp.set_Product_unit) (BOUND_VARIABLE_290167 tptp.product_unit)) (= (@ (@ tptp.sup_su793286257634532545t_unit (@ BOUND_VARIABLE_290165 BOUND_VARIABLE_290167)) BOUND_VARIABLE_290166) (ll_2337 BOUND_VARIABLE_290165 BOUND_VARIABLE_290166 BOUND_VARIABLE_290167))))) (let ((_let_17634 (forall ((BOUND_VARIABLE_290155 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_290156 tptp.set_Product_unit) (BOUND_VARIABLE_290157 tptp.product_unit)) (= (@ (@ tptp.sup_su793286257634532545t_unit (@ BOUND_VARIABLE_290155 BOUND_VARIABLE_290157)) BOUND_VARIABLE_290156) (ll_2336 BOUND_VARIABLE_290155 BOUND_VARIABLE_290156 BOUND_VARIABLE_290157))))) (let ((_let_17635 (forall ((BOUND_VARIABLE_290122 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_290123 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_290124 tptp.product_prod_nat_nat)) (= (ll_2335 BOUND_VARIABLE_290122 BOUND_VARIABLE_290123 BOUND_VARIABLE_290124) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_290124)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3696 BOUND_VARIABLE_290122) BOUND_VARIABLE_290123)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17636 (forall ((BOUND_VARIABLE_290087 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_290088 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_290089 tptp.set_Product_unit) (BOUND_VARIABLE_290090 tptp.product_prod_nat_nat)) (= (ll_2334 BOUND_VARIABLE_290087 BOUND_VARIABLE_290088 BOUND_VARIABLE_290089 BOUND_VARIABLE_290090) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_290090)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3695 BOUND_VARIABLE_290087) BOUND_VARIABLE_290088)) BOUND_VARIABLE_290089))))))) (let ((_let_17637 (forall ((BOUND_VARIABLE_290074 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_290075 tptp.set_Product_unit) (BOUND_VARIABLE_290076 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_290076)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_290074) BOUND_VARIABLE_290075))) (ll_2333 BOUND_VARIABLE_290074 BOUND_VARIABLE_290075 BOUND_VARIABLE_290076))))) (let ((_let_17638 (forall ((BOUND_VARIABLE_290027 tptp.set_nat) (BOUND_VARIABLE_290028 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_290029 tptp.nat)) (= (ll_2332 BOUND_VARIABLE_290027 BOUND_VARIABLE_290028 BOUND_VARIABLE_290029) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_290029)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3694 BOUND_VARIABLE_290027) BOUND_VARIABLE_290028)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17639 (forall ((BOUND_VARIABLE_289979 tptp.set_nat) (BOUND_VARIABLE_289980 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_289981 tptp.set_nat) (BOUND_VARIABLE_289982 tptp.nat)) (= (ll_2331 BOUND_VARIABLE_289979 BOUND_VARIABLE_289980 BOUND_VARIABLE_289981 BOUND_VARIABLE_289982) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289982)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3693 BOUND_VARIABLE_289979) BOUND_VARIABLE_289980)) BOUND_VARIABLE_289981))))))) (let ((_let_17640 (forall ((BOUND_VARIABLE_289932 tptp.set_nat) (BOUND_VARIABLE_289933 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_289934 tptp.set_nat) (BOUND_VARIABLE_289935 tptp.nat)) (= (ll_2330 BOUND_VARIABLE_289932 BOUND_VARIABLE_289933 BOUND_VARIABLE_289934 BOUND_VARIABLE_289935) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289935)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3692 BOUND_VARIABLE_289932) BOUND_VARIABLE_289933) BOUND_VARIABLE_289934)) tptp.top_top_set_o))))))) (let ((_let_17641 (forall ((BOUND_VARIABLE_289885 tptp.set_nat) (BOUND_VARIABLE_289886 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_289887 tptp.nat)) (= (ll_2329 BOUND_VARIABLE_289885 BOUND_VARIABLE_289886 BOUND_VARIABLE_289887) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289887)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3691 BOUND_VARIABLE_289885) BOUND_VARIABLE_289886)) tptp.bot_bot_set_o))))))) (let ((_let_17642 (forall ((BOUND_VARIABLE_289837 tptp.set_nat) (BOUND_VARIABLE_289838 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_289839 tptp.set_o) (BOUND_VARIABLE_289840 tptp.nat)) (= (ll_2328 BOUND_VARIABLE_289837 BOUND_VARIABLE_289838 BOUND_VARIABLE_289839 BOUND_VARIABLE_289840) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289840)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3690 BOUND_VARIABLE_289837) BOUND_VARIABLE_289838)) BOUND_VARIABLE_289839))))))) (let ((_let_17643 (forall ((BOUND_VARIABLE_289790 tptp.set_nat) (BOUND_VARIABLE_289791 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_289792 tptp.set_o) (BOUND_VARIABLE_289793 tptp.nat)) (= (ll_2327 BOUND_VARIABLE_289790 BOUND_VARIABLE_289791 BOUND_VARIABLE_289792 BOUND_VARIABLE_289793) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289793)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3689 BOUND_VARIABLE_289790) BOUND_VARIABLE_289791) BOUND_VARIABLE_289792)) tptp.top_top_set_o))))))) (let ((_let_17644 (forall ((BOUND_VARIABLE_289743 tptp.set_nat) (BOUND_VARIABLE_289744 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_289745 tptp.nat)) (= (ll_2326 BOUND_VARIABLE_289743 BOUND_VARIABLE_289744 BOUND_VARIABLE_289745) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289745)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3688 BOUND_VARIABLE_289743) BOUND_VARIABLE_289744)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17645 (forall ((BOUND_VARIABLE_289695 tptp.set_nat) (BOUND_VARIABLE_289696 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_289697 tptp.set_Product_unit) (BOUND_VARIABLE_289698 tptp.nat)) (= (ll_2325 BOUND_VARIABLE_289695 BOUND_VARIABLE_289696 BOUND_VARIABLE_289697 BOUND_VARIABLE_289698) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289698)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3687 BOUND_VARIABLE_289695) BOUND_VARIABLE_289696)) BOUND_VARIABLE_289697))))))) (let ((_let_17646 (forall ((BOUND_VARIABLE_289648 tptp.set_nat) (BOUND_VARIABLE_289649 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_289650 tptp.set_Product_unit) (BOUND_VARIABLE_289651 tptp.nat)) (= (ll_2324 BOUND_VARIABLE_289648 BOUND_VARIABLE_289649 BOUND_VARIABLE_289650 BOUND_VARIABLE_289651) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289651)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3686 BOUND_VARIABLE_289648) BOUND_VARIABLE_289649) BOUND_VARIABLE_289650)) tptp.top_top_set_o))))))) (let ((_let_17647 (forall ((BOUND_VARIABLE_289615 tptp.set_o) (BOUND_VARIABLE_289616 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_289617 Bool)) (= (ll_2323 BOUND_VARIABLE_289615 BOUND_VARIABLE_289616 BOUND_VARIABLE_289617) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289617)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3685 BOUND_VARIABLE_289615) BOUND_VARIABLE_289616)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17648 (forall ((BOUND_VARIABLE_289580 tptp.set_o) (BOUND_VARIABLE_289581 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_289582 tptp.set_nat) (BOUND_VARIABLE_289583 Bool)) (= (ll_2322 BOUND_VARIABLE_289580 BOUND_VARIABLE_289581 BOUND_VARIABLE_289582 BOUND_VARIABLE_289583) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289583)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3684 BOUND_VARIABLE_289580) BOUND_VARIABLE_289581)) BOUND_VARIABLE_289582))))))) (let ((_let_17649 (forall ((BOUND_VARIABLE_289567 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_289568 tptp.set_nat) (BOUND_VARIABLE_289569 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289569)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_289567) BOUND_VARIABLE_289568))) (ll_2321 BOUND_VARIABLE_289567 BOUND_VARIABLE_289568 BOUND_VARIABLE_289569))))) (let ((_let_17650 (forall ((BOUND_VARIABLE_289557 tptp.set_Product_unit) (BOUND_VARIABLE_289558 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_289559 tptp.nat)) (= (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_289557) (@ BOUND_VARIABLE_289558 BOUND_VARIABLE_289559)) (ll_2320 BOUND_VARIABLE_289557 BOUND_VARIABLE_289558 BOUND_VARIABLE_289559))))) (let ((_let_17651 (forall ((BOUND_VARIABLE_289547 tptp.set_Product_unit) (BOUND_VARIABLE_289548 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_289549 tptp.nat)) (= (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_289547) (@ BOUND_VARIABLE_289548 BOUND_VARIABLE_289549)) (ll_2319 BOUND_VARIABLE_289547 BOUND_VARIABLE_289548 BOUND_VARIABLE_289549))))) (let ((_let_17652 (forall ((BOUND_VARIABLE_289514 tptp.set_o) (BOUND_VARIABLE_289515 (-> Bool tptp.set_o)) (BOUND_VARIABLE_289516 Bool)) (= (ll_2318 BOUND_VARIABLE_289514 BOUND_VARIABLE_289515 BOUND_VARIABLE_289516) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289516)) (@ (@ tptp.image_o_set_o (@ (@ ll_3683 BOUND_VARIABLE_289514) BOUND_VARIABLE_289515)) tptp.bot_bot_set_o))))))) (let ((_let_17653 (forall ((BOUND_VARIABLE_289479 tptp.set_o) (BOUND_VARIABLE_289480 (-> Bool tptp.set_o)) (BOUND_VARIABLE_289481 tptp.set_o) (BOUND_VARIABLE_289482 Bool)) (= (ll_2317 BOUND_VARIABLE_289479 BOUND_VARIABLE_289480 BOUND_VARIABLE_289481 BOUND_VARIABLE_289482) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289482)) (@ (@ tptp.image_o_set_o (@ (@ ll_3682 BOUND_VARIABLE_289479) BOUND_VARIABLE_289480)) BOUND_VARIABLE_289481))))))) (let ((_let_17654 (forall ((BOUND_VARIABLE_289466 (-> Bool tptp.set_o)) (BOUND_VARIABLE_289467 tptp.set_o) (BOUND_VARIABLE_289468 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289468)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_289466) BOUND_VARIABLE_289467))) (ll_2316 BOUND_VARIABLE_289466 BOUND_VARIABLE_289467 BOUND_VARIABLE_289468))))) (let ((_let_17655 (forall ((BOUND_VARIABLE_289456 tptp.set_Product_unit) (BOUND_VARIABLE_289457 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_289458 Bool)) (= (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_289456) (@ BOUND_VARIABLE_289457 BOUND_VARIABLE_289458)) (ll_2315 BOUND_VARIABLE_289456 BOUND_VARIABLE_289457 BOUND_VARIABLE_289458))))) (let ((_let_17656 (forall ((BOUND_VARIABLE_289446 tptp.set_Product_unit) (BOUND_VARIABLE_289447 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_289448 Bool)) (= (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_289446) (@ BOUND_VARIABLE_289447 BOUND_VARIABLE_289448)) (ll_2314 BOUND_VARIABLE_289446 BOUND_VARIABLE_289447 BOUND_VARIABLE_289448))))) (let ((_let_17657 (forall ((BOUND_VARIABLE_289413 tptp.set_o) (BOUND_VARIABLE_289414 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_289415 Bool)) (= (ll_2313 BOUND_VARIABLE_289413 BOUND_VARIABLE_289414 BOUND_VARIABLE_289415) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289415)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3681 BOUND_VARIABLE_289413) BOUND_VARIABLE_289414)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17658 (forall ((BOUND_VARIABLE_289378 tptp.set_o) (BOUND_VARIABLE_289379 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_289380 tptp.set_Product_unit) (BOUND_VARIABLE_289381 Bool)) (= (ll_2312 BOUND_VARIABLE_289378 BOUND_VARIABLE_289379 BOUND_VARIABLE_289380 BOUND_VARIABLE_289381) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289381)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3680 BOUND_VARIABLE_289378) BOUND_VARIABLE_289379)) BOUND_VARIABLE_289380))))))) (let ((_let_17659 (forall ((BOUND_VARIABLE_289365 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_289366 tptp.set_Product_unit) (BOUND_VARIABLE_289367 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_289367)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_289365) BOUND_VARIABLE_289366))) (ll_2311 BOUND_VARIABLE_289365 BOUND_VARIABLE_289366 BOUND_VARIABLE_289367))))) (let ((_let_17660 (forall ((BOUND_VARIABLE_289355 tptp.set_Product_unit) (BOUND_VARIABLE_289356 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_289357 tptp.product_unit)) (= (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_289355) (@ BOUND_VARIABLE_289356 BOUND_VARIABLE_289357)) (ll_2310 BOUND_VARIABLE_289355 BOUND_VARIABLE_289356 BOUND_VARIABLE_289357))))) (let ((_let_17661 (forall ((BOUND_VARIABLE_289345 tptp.set_Product_unit) (BOUND_VARIABLE_289346 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_289347 tptp.product_unit)) (= (@ (@ tptp.sup_su793286257634532545t_unit BOUND_VARIABLE_289345) (@ BOUND_VARIABLE_289346 BOUND_VARIABLE_289347)) (ll_2309 BOUND_VARIABLE_289345 BOUND_VARIABLE_289346 BOUND_VARIABLE_289347))))) (let ((_let_17662 (forall ((BOUND_VARIABLE_289334 (-> tptp.int tptp.int)) (BOUND_VARIABLE_289335 (-> tptp.int tptp.int)) (BOUND_VARIABLE_289336 tptp.int)) (= (@ (@ tptp.sup_sup_int (@ BOUND_VARIABLE_289334 BOUND_VARIABLE_289336)) (@ BOUND_VARIABLE_289335 BOUND_VARIABLE_289336)) (ll_2308 BOUND_VARIABLE_289334 BOUND_VARIABLE_289335 BOUND_VARIABLE_289336))))) (let ((_let_17663 (forall ((BOUND_VARIABLE_289323 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_289324 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_289325 tptp.int)) (= (@ (@ tptp.sup_sup_nat (@ BOUND_VARIABLE_289323 BOUND_VARIABLE_289325)) (@ BOUND_VARIABLE_289324 BOUND_VARIABLE_289325)) (ll_2307 BOUND_VARIABLE_289323 BOUND_VARIABLE_289324 BOUND_VARIABLE_289325))))) (let ((_let_17664 (forall ((BOUND_VARIABLE_289312 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_289313 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_289314 tptp.nat)) (= (@ (@ tptp.sup_sup_int (@ BOUND_VARIABLE_289312 BOUND_VARIABLE_289314)) (@ BOUND_VARIABLE_289313 BOUND_VARIABLE_289314)) (ll_2306 BOUND_VARIABLE_289312 BOUND_VARIABLE_289313 BOUND_VARIABLE_289314))))) (let ((_let_17665 (forall ((BOUND_VARIABLE_289301 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_289302 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_289303 tptp.nat)) (= (@ (@ tptp.sup_sup_nat (@ BOUND_VARIABLE_289301 BOUND_VARIABLE_289303)) (@ BOUND_VARIABLE_289302 BOUND_VARIABLE_289303)) (ll_2305 BOUND_VARIABLE_289301 BOUND_VARIABLE_289302 BOUND_VARIABLE_289303))))) (let ((_let_17666 (forall ((BOUND_VARIABLE_289290 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_289291 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_289292 tptp.nat)) (= (@ (@ tptp.sup_sup_rat (@ BOUND_VARIABLE_289290 BOUND_VARIABLE_289292)) (@ BOUND_VARIABLE_289291 BOUND_VARIABLE_289292)) (ll_2304 BOUND_VARIABLE_289290 BOUND_VARIABLE_289291 BOUND_VARIABLE_289292))))) (let ((_let_17667 (forall ((BOUND_VARIABLE_289279 (-> tptp.int tptp.int)) (BOUND_VARIABLE_289280 (-> tptp.int tptp.int)) (BOUND_VARIABLE_289281 tptp.int)) (= (@ (@ tptp.inf_inf_int (@ BOUND_VARIABLE_289279 BOUND_VARIABLE_289281)) (@ BOUND_VARIABLE_289280 BOUND_VARIABLE_289281)) (ll_2303 BOUND_VARIABLE_289279 BOUND_VARIABLE_289280 BOUND_VARIABLE_289281))))) (let ((_let_17668 (forall ((BOUND_VARIABLE_289268 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_289269 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_289270 tptp.int)) (= (@ (@ tptp.inf_inf_nat (@ BOUND_VARIABLE_289268 BOUND_VARIABLE_289270)) (@ BOUND_VARIABLE_289269 BOUND_VARIABLE_289270)) (ll_2302 BOUND_VARIABLE_289268 BOUND_VARIABLE_289269 BOUND_VARIABLE_289270))))) (let ((_let_17669 (forall ((BOUND_VARIABLE_289257 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_289258 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_289259 tptp.nat)) (= (@ (@ tptp.inf_inf_int (@ BOUND_VARIABLE_289257 BOUND_VARIABLE_289259)) (@ BOUND_VARIABLE_289258 BOUND_VARIABLE_289259)) (ll_2301 BOUND_VARIABLE_289257 BOUND_VARIABLE_289258 BOUND_VARIABLE_289259))))) (let ((_let_17670 (forall ((BOUND_VARIABLE_289246 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_289247 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_289248 tptp.nat)) (= (@ (@ tptp.inf_inf_nat (@ BOUND_VARIABLE_289246 BOUND_VARIABLE_289248)) (@ BOUND_VARIABLE_289247 BOUND_VARIABLE_289248)) (ll_2300 BOUND_VARIABLE_289246 BOUND_VARIABLE_289247 BOUND_VARIABLE_289248))))) (let ((_let_17671 (forall ((BOUND_VARIABLE_289235 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_289236 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_289237 tptp.nat)) (= (@ (@ tptp.inf_inf_rat (@ BOUND_VARIABLE_289235 BOUND_VARIABLE_289237)) (@ BOUND_VARIABLE_289236 BOUND_VARIABLE_289237)) (ll_2299 BOUND_VARIABLE_289235 BOUND_VARIABLE_289236 BOUND_VARIABLE_289237))))) (let ((_let_17672 (forall ((BOUND_VARIABLE_289192 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_289193 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289194 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289195 tptp.nat)) (= (ll_2298 BOUND_VARIABLE_289192 BOUND_VARIABLE_289193 BOUND_VARIABLE_289194 BOUND_VARIABLE_289195) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289195)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_289192) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3679 BOUND_VARIABLE_289193) BOUND_VARIABLE_289194))))))))) (let ((_let_17673 (forall ((BOUND_VARIABLE_289135 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289136 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_289137 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289138 tptp.nat)) (= (ll_2297 BOUND_VARIABLE_289135 BOUND_VARIABLE_289136 BOUND_VARIABLE_289137 BOUND_VARIABLE_289138) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289138)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3678 BOUND_VARIABLE_289135) BOUND_VARIABLE_289136) BOUND_VARIABLE_289137)) tptp.top_top_set_o))))))) (let ((_let_17674 (forall ((BOUND_VARIABLE_289098 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_289099 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289100 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289101 tptp.nat)) (= (ll_2296 BOUND_VARIABLE_289098 BOUND_VARIABLE_289099 BOUND_VARIABLE_289100 BOUND_VARIABLE_289101) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289101)) (@ (@ tptp.image_2819269535336293544et_nat BOUND_VARIABLE_289098) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3677 BOUND_VARIABLE_289099) BOUND_VARIABLE_289100)) tptp.top_top_set_o))))))))) (let ((_let_17675 (forall ((BOUND_VARIABLE_289041 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289042 (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (BOUND_VARIABLE_289043 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_289044 tptp.nat)) (= (ll_2295 BOUND_VARIABLE_289041 BOUND_VARIABLE_289042 BOUND_VARIABLE_289043 BOUND_VARIABLE_289044) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_289044)) (@ (@ tptp.image_o_set_nat (@ (@ (@ ll_3676 BOUND_VARIABLE_289041) BOUND_VARIABLE_289042) BOUND_VARIABLE_289043)) tptp.top_top_set_o))))))) (let ((_let_17676 (forall ((BOUND_VARIABLE_288998 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_288999 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289000 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_289001 tptp.produc3843707927480180839at_nat)) (= (ll_2294 BOUND_VARIABLE_288998 BOUND_VARIABLE_288999 BOUND_VARIABLE_289000 BOUND_VARIABLE_289001) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_289001)) (@ (@ tptp.image_7364710425340685989at_nat BOUND_VARIABLE_288998) (@ tptp.collec6321179662152712658at_nat (@ (@ ll_3675 BOUND_VARIABLE_288999) BOUND_VARIABLE_289000))))))))) (let ((_let_17677 (forall ((BOUND_VARIABLE_288941 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288942 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_288943 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288944 tptp.produc3843707927480180839at_nat)) (= (ll_2293 BOUND_VARIABLE_288941 BOUND_VARIABLE_288942 BOUND_VARIABLE_288943 BOUND_VARIABLE_288944) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_288944)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3674 BOUND_VARIABLE_288941) BOUND_VARIABLE_288942) BOUND_VARIABLE_288943)) tptp.top_top_set_o))))))) (let ((_let_17678 (forall ((BOUND_VARIABLE_288909 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288910 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288911 tptp.produc3843707927480180839at_nat)) (= (ll_2292 BOUND_VARIABLE_288909 BOUND_VARIABLE_288910 BOUND_VARIABLE_288911) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_288911)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ ll_3673 BOUND_VARIABLE_288909) BOUND_VARIABLE_288910)) tptp.top_top_set_o))))))) (let ((_let_17679 (forall ((BOUND_VARIABLE_288893 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288894 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_288895 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_288896 Bool)) (let ((_let_1 (@ tptp.image_7260680879217540773at_nat BOUND_VARIABLE_288894))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_288896) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_288893))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_288895))) (ll_2291 BOUND_VARIABLE_288893 BOUND_VARIABLE_288894 BOUND_VARIABLE_288895 BOUND_VARIABLE_288896)))))) (let ((_let_17680 (forall ((BOUND_VARIABLE_288856 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_288857 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288858 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288859 tptp.produc3843707927480180839at_nat)) (= (ll_2290 BOUND_VARIABLE_288856 BOUND_VARIABLE_288857 BOUND_VARIABLE_288858 BOUND_VARIABLE_288859) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_288859)) (@ (@ tptp.image_3876558564303283877at_nat BOUND_VARIABLE_288856) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (@ (@ ll_3672 BOUND_VARIABLE_288857) BOUND_VARIABLE_288858)) tptp.top_top_set_o))))))))) (let ((_let_17681 (forall ((BOUND_VARIABLE_288799 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288800 (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (BOUND_VARIABLE_288801 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288802 tptp.produc3843707927480180839at_nat)) (= (ll_2289 BOUND_VARIABLE_288799 BOUND_VARIABLE_288800 BOUND_VARIABLE_288801 BOUND_VARIABLE_288802) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_288802)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ ll_3671 BOUND_VARIABLE_288799) BOUND_VARIABLE_288800) BOUND_VARIABLE_288801)) tptp.top_top_set_o))))))) (let ((_let_17682 (forall ((BOUND_VARIABLE_288789 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288790 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288791 Bool)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_288791) BOUND_VARIABLE_288789) BOUND_VARIABLE_288790) (ll_2288 BOUND_VARIABLE_288789 BOUND_VARIABLE_288790 BOUND_VARIABLE_288791))))) (let ((_let_17683 (forall ((BOUND_VARIABLE_288773 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288774 (-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)) (BOUND_VARIABLE_288775 tptp.set_Pr8693737435421807431at_nat) (BOUND_VARIABLE_288776 Bool)) (let ((_let_1 (@ tptp.image_6654316230217496229at_nat BOUND_VARIABLE_288774))) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_288776) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_288773))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 BOUND_VARIABLE_288775))) (ll_2287 BOUND_VARIABLE_288773 BOUND_VARIABLE_288774 BOUND_VARIABLE_288775 BOUND_VARIABLE_288776)))))) (let ((_let_17684 (forall ((BOUND_VARIABLE_288759 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_288760 (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288761 (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288762 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3594990065127090477at_nat (@ BOUND_VARIABLE_288759 BOUND_VARIABLE_288762)) (@ BOUND_VARIABLE_288760 BOUND_VARIABLE_288762)) (@ BOUND_VARIABLE_288761 BOUND_VARIABLE_288762)) (ll_2286 BOUND_VARIABLE_288759 BOUND_VARIABLE_288760 BOUND_VARIABLE_288761 BOUND_VARIABLE_288762))))) (let ((_let_17685 (forall ((BOUND_VARIABLE_288697 (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288698 (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288699 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_288700 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_288701 tptp.produc3843707927480180839at_nat)) (= (ll_2285 BOUND_VARIABLE_288697 BOUND_VARIABLE_288698 BOUND_VARIABLE_288699 BOUND_VARIABLE_288700 BOUND_VARIABLE_288701) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_288701)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ (@ ll_3670 BOUND_VARIABLE_288697) BOUND_VARIABLE_288698) BOUND_VARIABLE_288699) BOUND_VARIABLE_288700)) tptp.top_top_set_o))))))) (let ((_let_17686 (forall ((BOUND_VARIABLE_288683 (-> tptp.nat Bool)) (BOUND_VARIABLE_288684 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288685 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288686 tptp.nat)) (= (@ (@ (@ tptp.if_Pro3594990065127090477at_nat (@ BOUND_VARIABLE_288683 BOUND_VARIABLE_288686)) (@ BOUND_VARIABLE_288684 BOUND_VARIABLE_288686)) (@ BOUND_VARIABLE_288685 BOUND_VARIABLE_288686)) (ll_2284 BOUND_VARIABLE_288683 BOUND_VARIABLE_288684 BOUND_VARIABLE_288685 BOUND_VARIABLE_288686))))) (let ((_let_17687 (forall ((BOUND_VARIABLE_288621 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288622 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (BOUND_VARIABLE_288623 tptp.set_nat) (BOUND_VARIABLE_288624 (-> tptp.nat Bool)) (BOUND_VARIABLE_288625 tptp.produc3843707927480180839at_nat)) (= (ll_2283 BOUND_VARIABLE_288621 BOUND_VARIABLE_288622 BOUND_VARIABLE_288623 BOUND_VARIABLE_288624 BOUND_VARIABLE_288625) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_288625)) (@ (@ tptp.image_2496312346330513076at_nat (@ (@ (@ (@ ll_3669 BOUND_VARIABLE_288621) BOUND_VARIABLE_288622) BOUND_VARIABLE_288623) BOUND_VARIABLE_288624)) tptp.top_top_set_o))))))) (let ((_let_17688 (forall ((BOUND_VARIABLE_288607 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_288608 (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288609 (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288610 tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ BOUND_VARIABLE_288607 BOUND_VARIABLE_288610)) (@ BOUND_VARIABLE_288608 BOUND_VARIABLE_288610)) (@ BOUND_VARIABLE_288609 BOUND_VARIABLE_288610)) (ll_2282 BOUND_VARIABLE_288607 BOUND_VARIABLE_288608 BOUND_VARIABLE_288609 BOUND_VARIABLE_288610))))) (let ((_let_17689 (forall ((BOUND_VARIABLE_288570 (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288571 (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288572 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_288573 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_288574 Bool)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat BOUND_VARIABLE_288572))) (= (ll_2281 BOUND_VARIABLE_288570 BOUND_VARIABLE_288571 BOUND_VARIABLE_288572 BOUND_VARIABLE_288573 BOUND_VARIABLE_288574) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_288574) (@ (@ tptp.image_1119892238107900587at_nat BOUND_VARIABLE_288570) (@ _let_1 (@ tptp.collec3392354462482085612at_nat BOUND_VARIABLE_288573)))) (@ (@ tptp.image_1119892238107900587at_nat BOUND_VARIABLE_288571) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ ll_3668 BOUND_VARIABLE_288573)))))))))) (let ((_let_17690 (forall ((BOUND_VARIABLE_288556 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_288557 (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288558 (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288559 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ BOUND_VARIABLE_288556 BOUND_VARIABLE_288559)) (@ BOUND_VARIABLE_288557 BOUND_VARIABLE_288559)) (@ BOUND_VARIABLE_288558 BOUND_VARIABLE_288559)) (ll_2280 BOUND_VARIABLE_288556 BOUND_VARIABLE_288557 BOUND_VARIABLE_288558 BOUND_VARIABLE_288559))))) (let ((_let_17691 (forall ((BOUND_VARIABLE_288519 (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288520 (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288521 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_288522 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_288523 Bool)) (let ((_let_1 (@ tptp.inf_in2269163501485487111nt_int BOUND_VARIABLE_288521))) (= (ll_2279 BOUND_VARIABLE_288519 BOUND_VARIABLE_288520 BOUND_VARIABLE_288521 BOUND_VARIABLE_288522 BOUND_VARIABLE_288523) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_288523) (@ (@ tptp.image_8858061497167895027at_nat BOUND_VARIABLE_288519) (@ _let_1 (@ tptp.collec213857154873943460nt_int BOUND_VARIABLE_288522)))) (@ (@ tptp.image_8858061497167895027at_nat BOUND_VARIABLE_288520) (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ ll_3667 BOUND_VARIABLE_288522)))))))))) (let ((_let_17692 (forall ((BOUND_VARIABLE_288505 (-> tptp.nat Bool)) (BOUND_VARIABLE_288506 (-> tptp.nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288507 (-> tptp.nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288508 tptp.nat)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ BOUND_VARIABLE_288505 BOUND_VARIABLE_288508)) (@ BOUND_VARIABLE_288506 BOUND_VARIABLE_288508)) (@ BOUND_VARIABLE_288507 BOUND_VARIABLE_288508)) (ll_2278 BOUND_VARIABLE_288505 BOUND_VARIABLE_288506 BOUND_VARIABLE_288507 BOUND_VARIABLE_288508))))) (let ((_let_17693 (forall ((BOUND_VARIABLE_288468 (-> tptp.nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288469 (-> tptp.nat tptp.produc859450856879609959at_nat)) (BOUND_VARIABLE_288470 tptp.set_nat) (BOUND_VARIABLE_288471 (-> tptp.nat Bool)) (BOUND_VARIABLE_288472 Bool)) (let ((_let_1 (@ tptp.inf_inf_set_nat BOUND_VARIABLE_288470))) (= (ll_2277 BOUND_VARIABLE_288468 BOUND_VARIABLE_288469 BOUND_VARIABLE_288470 BOUND_VARIABLE_288471 BOUND_VARIABLE_288472) (@ (@ (@ tptp.if_set1508868558775481357at_nat BOUND_VARIABLE_288472) (@ (@ tptp.image_3276603626957510736at_nat BOUND_VARIABLE_288468) (@ _let_1 (@ tptp.collect_nat BOUND_VARIABLE_288471)))) (@ (@ tptp.image_3276603626957510736at_nat BOUND_VARIABLE_288469) (@ _let_1 (@ tptp.collect_nat (@ ll_3666 BOUND_VARIABLE_288471)))))))))) (let ((_let_17694 (forall ((BOUND_VARIABLE_288454 (-> tptp.nat Bool)) (BOUND_VARIABLE_288455 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_288456 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_288457 tptp.nat)) (= (@ (@ (@ tptp.if_int (@ BOUND_VARIABLE_288454 BOUND_VARIABLE_288457)) (@ BOUND_VARIABLE_288455 BOUND_VARIABLE_288457)) (@ BOUND_VARIABLE_288456 BOUND_VARIABLE_288457)) (ll_2276 BOUND_VARIABLE_288454 BOUND_VARIABLE_288455 BOUND_VARIABLE_288456 BOUND_VARIABLE_288457))))) (let ((_let_17695 (forall ((BOUND_VARIABLE_288446 (-> tptp.nat Bool)) (BOUND_VARIABLE_288447 tptp.nat)) (= (not (@ BOUND_VARIABLE_288446 BOUND_VARIABLE_288447)) (ll_2275 BOUND_VARIABLE_288446 BOUND_VARIABLE_288447))))) (let ((_let_17696 (forall ((BOUND_VARIABLE_288432 (-> tptp.nat Bool)) (BOUND_VARIABLE_288433 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_288434 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_288435 tptp.nat)) (= (@ (@ (@ tptp.if_nat (@ BOUND_VARIABLE_288432 BOUND_VARIABLE_288435)) (@ BOUND_VARIABLE_288433 BOUND_VARIABLE_288435)) (@ BOUND_VARIABLE_288434 BOUND_VARIABLE_288435)) (ll_2274 BOUND_VARIABLE_288432 BOUND_VARIABLE_288433 BOUND_VARIABLE_288434 BOUND_VARIABLE_288435))))) (let ((_let_17697 (forall ((BOUND_VARIABLE_288370 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_288371 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_288372 tptp.set_nat) (BOUND_VARIABLE_288373 (-> tptp.nat Bool)) (BOUND_VARIABLE_288374 tptp.nat)) (= (ll_2273 BOUND_VARIABLE_288370 BOUND_VARIABLE_288371 BOUND_VARIABLE_288372 BOUND_VARIABLE_288373 BOUND_VARIABLE_288374) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_288374)) (@ (@ tptp.image_o_set_nat (@ (@ (@ (@ ll_3665 BOUND_VARIABLE_288370) BOUND_VARIABLE_288371) BOUND_VARIABLE_288372) BOUND_VARIABLE_288373)) tptp.top_top_set_o))))))) (let ((_let_17698 (forall ((BOUND_VARIABLE_288356 (-> tptp.nat Bool)) (BOUND_VARIABLE_288357 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_288358 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_288359 tptp.nat)) (= (@ (@ (@ tptp.if_rat (@ BOUND_VARIABLE_288356 BOUND_VARIABLE_288359)) (@ BOUND_VARIABLE_288357 BOUND_VARIABLE_288359)) (@ BOUND_VARIABLE_288358 BOUND_VARIABLE_288359)) (ll_2272 BOUND_VARIABLE_288356 BOUND_VARIABLE_288357 BOUND_VARIABLE_288358 BOUND_VARIABLE_288359))))) (let ((_let_17699 (forall ((BOUND_VARIABLE_288348 (-> tptp.nat Bool)) (BOUND_VARIABLE_288349 tptp.nat)) (= (not (@ BOUND_VARIABLE_288348 BOUND_VARIABLE_288349)) (ll_2271 BOUND_VARIABLE_288348 BOUND_VARIABLE_288349))))) (let ((_let_17700 (forall ((BOUND_VARIABLE_288334 (-> tptp.int Bool)) (BOUND_VARIABLE_288335 (-> tptp.int tptp.int)) (BOUND_VARIABLE_288336 (-> tptp.int tptp.int)) (BOUND_VARIABLE_288337 tptp.int)) (= (@ (@ (@ tptp.if_int (@ BOUND_VARIABLE_288334 BOUND_VARIABLE_288337)) (@ BOUND_VARIABLE_288335 BOUND_VARIABLE_288337)) (@ BOUND_VARIABLE_288336 BOUND_VARIABLE_288337)) (ll_2270 BOUND_VARIABLE_288334 BOUND_VARIABLE_288335 BOUND_VARIABLE_288336 BOUND_VARIABLE_288337))))) (let ((_let_17701 (forall ((BOUND_VARIABLE_288326 (-> tptp.int Bool)) (BOUND_VARIABLE_288327 tptp.int)) (= (not (@ BOUND_VARIABLE_288326 BOUND_VARIABLE_288327)) (ll_2269 BOUND_VARIABLE_288326 BOUND_VARIABLE_288327))))) (let ((_let_17702 (forall ((BOUND_VARIABLE_288312 (-> tptp.int Bool)) (BOUND_VARIABLE_288313 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_288314 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_288315 tptp.int)) (= (@ (@ (@ tptp.if_nat (@ BOUND_VARIABLE_288312 BOUND_VARIABLE_288315)) (@ BOUND_VARIABLE_288313 BOUND_VARIABLE_288315)) (@ BOUND_VARIABLE_288314 BOUND_VARIABLE_288315)) (ll_2268 BOUND_VARIABLE_288312 BOUND_VARIABLE_288313 BOUND_VARIABLE_288314 BOUND_VARIABLE_288315))))) (let ((_let_17703 (forall ((BOUND_VARIABLE_288250 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_288251 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_288252 tptp.set_int) (BOUND_VARIABLE_288253 (-> tptp.int Bool)) (BOUND_VARIABLE_288254 tptp.nat)) (= (ll_2267 BOUND_VARIABLE_288250 BOUND_VARIABLE_288251 BOUND_VARIABLE_288252 BOUND_VARIABLE_288253 BOUND_VARIABLE_288254) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_288254)) (@ (@ tptp.image_o_set_nat (@ (@ (@ (@ ll_3664 BOUND_VARIABLE_288250) BOUND_VARIABLE_288251) BOUND_VARIABLE_288252) BOUND_VARIABLE_288253)) tptp.top_top_set_o))))))) (let ((_let_17704 (forall ((BOUND_VARIABLE_288237 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_288238 tptp.set_nat) (BOUND_VARIABLE_288239 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_288239)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_288237) BOUND_VARIABLE_288238))) (ll_2266 BOUND_VARIABLE_288237 BOUND_VARIABLE_288238 BOUND_VARIABLE_288239))))) (let ((_let_17705 (forall ((BOUND_VARIABLE_288200 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_288201 tptp.set_nat) (BOUND_VARIABLE_288202 tptp.product_prod_nat_nat)) (= (ll_2265 BOUND_VARIABLE_288200 BOUND_VARIABLE_288201 BOUND_VARIABLE_288202) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_288202)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3663 BOUND_VARIABLE_288200)) BOUND_VARIABLE_288201))))))) (let ((_let_17706 (forall ((BOUND_VARIABLE_288166 (-> tptp.int tptp.int)) (BOUND_VARIABLE_288167 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_288168 tptp.set_nat) (BOUND_VARIABLE_288169 tptp.int)) (= (ll_2264 BOUND_VARIABLE_288166 BOUND_VARIABLE_288167 BOUND_VARIABLE_288168 BOUND_VARIABLE_288169) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_288169)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3662 BOUND_VARIABLE_288166) BOUND_VARIABLE_288167)) BOUND_VARIABLE_288168))))))) (let ((_let_17707 (forall ((BOUND_VARIABLE_288153 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_288154 tptp.set_nat) (BOUND_VARIABLE_288155 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_288155)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_288153) BOUND_VARIABLE_288154))) (ll_2263 BOUND_VARIABLE_288153 BOUND_VARIABLE_288154 BOUND_VARIABLE_288155))))) (let ((_let_17708 (forall ((BOUND_VARIABLE_288135 (-> tptp.int tptp.int)) (BOUND_VARIABLE_288136 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_288137 tptp.nat)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2262 BOUND_VARIABLE_288135 BOUND_VARIABLE_288136 BOUND_VARIABLE_288137) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_288135) (@ BOUND_VARIABLE_288136 BOUND_VARIABLE_288137)))))))))) (let ((_let_17709 (forall ((BOUND_VARIABLE_288101 (-> Bool tptp.int)) (BOUND_VARIABLE_288102 (-> Bool tptp.set_o)) (BOUND_VARIABLE_288103 tptp.set_o) (BOUND_VARIABLE_288104 tptp.int)) (= (ll_2261 BOUND_VARIABLE_288101 BOUND_VARIABLE_288102 BOUND_VARIABLE_288103 BOUND_VARIABLE_288104) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_288104)) (@ (@ tptp.image_o_set_int (@ (@ ll_3661 BOUND_VARIABLE_288101) BOUND_VARIABLE_288102)) BOUND_VARIABLE_288103))))))) (let ((_let_17710 (forall ((BOUND_VARIABLE_288088 (-> Bool tptp.set_o)) (BOUND_VARIABLE_288089 tptp.set_o) (BOUND_VARIABLE_288090 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_288090)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_288088) BOUND_VARIABLE_288089))) (ll_2260 BOUND_VARIABLE_288088 BOUND_VARIABLE_288089 BOUND_VARIABLE_288090))))) (let ((_let_17711 (forall ((BOUND_VARIABLE_288070 (-> Bool tptp.int)) (BOUND_VARIABLE_288071 (-> Bool tptp.set_o)) (BOUND_VARIABLE_288072 Bool)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2259 BOUND_VARIABLE_288070 BOUND_VARIABLE_288071 BOUND_VARIABLE_288072) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_o_int BOUND_VARIABLE_288070) (@ BOUND_VARIABLE_288071 BOUND_VARIABLE_288072)))))))))) (let ((_let_17712 (forall ((BOUND_VARIABLE_288036 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_288037 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_288038 tptp.set_o) (BOUND_VARIABLE_288039 tptp.int)) (= (ll_2258 BOUND_VARIABLE_288036 BOUND_VARIABLE_288037 BOUND_VARIABLE_288038 BOUND_VARIABLE_288039) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_288039)) (@ (@ tptp.image_o_set_int (@ (@ ll_3660 BOUND_VARIABLE_288036) BOUND_VARIABLE_288037)) BOUND_VARIABLE_288038))))))) (let ((_let_17713 (forall ((BOUND_VARIABLE_288018 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_288019 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_288020 Bool)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2257 BOUND_VARIABLE_288018 BOUND_VARIABLE_288019 BOUND_VARIABLE_288020) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_288018) (@ BOUND_VARIABLE_288019 BOUND_VARIABLE_288020)))))))))) (let ((_let_17714 (forall ((BOUND_VARIABLE_287984 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287985 (-> Bool tptp.set_int)) (BOUND_VARIABLE_287986 tptp.set_o) (BOUND_VARIABLE_287987 tptp.int)) (= (ll_2256 BOUND_VARIABLE_287984 BOUND_VARIABLE_287985 BOUND_VARIABLE_287986 BOUND_VARIABLE_287987) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287987)) (@ (@ tptp.image_o_set_int (@ (@ ll_3659 BOUND_VARIABLE_287984) BOUND_VARIABLE_287985)) BOUND_VARIABLE_287986))))))) (let ((_let_17715 (forall ((BOUND_VARIABLE_287971 (-> Bool tptp.set_int)) (BOUND_VARIABLE_287972 tptp.set_o) (BOUND_VARIABLE_287973 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287973)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_287971) BOUND_VARIABLE_287972))) (ll_2255 BOUND_VARIABLE_287971 BOUND_VARIABLE_287972 BOUND_VARIABLE_287973))))) (let ((_let_17716 (forall ((BOUND_VARIABLE_287953 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287954 (-> Bool tptp.set_int)) (BOUND_VARIABLE_287955 Bool)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2254 BOUND_VARIABLE_287953 BOUND_VARIABLE_287954 BOUND_VARIABLE_287955) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_287953) (@ BOUND_VARIABLE_287954 BOUND_VARIABLE_287955)))))))))) (let ((_let_17717 (forall ((BOUND_VARIABLE_287919 (-> Bool tptp.int)) (BOUND_VARIABLE_287920 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_287921 tptp.set_Product_unit) (BOUND_VARIABLE_287922 tptp.int)) (= (ll_2253 BOUND_VARIABLE_287919 BOUND_VARIABLE_287920 BOUND_VARIABLE_287921 BOUND_VARIABLE_287922) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287922)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3658 BOUND_VARIABLE_287919) BOUND_VARIABLE_287920)) BOUND_VARIABLE_287921))))))) (let ((_let_17718 (forall ((BOUND_VARIABLE_287906 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_287907 tptp.set_Product_unit) (BOUND_VARIABLE_287908 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_287908)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_287906) BOUND_VARIABLE_287907))) (ll_2252 BOUND_VARIABLE_287906 BOUND_VARIABLE_287907 BOUND_VARIABLE_287908))))) (let ((_let_17719 (forall ((BOUND_VARIABLE_287888 (-> Bool tptp.int)) (BOUND_VARIABLE_287889 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_287890 tptp.product_unit)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2251 BOUND_VARIABLE_287888 BOUND_VARIABLE_287889 BOUND_VARIABLE_287890) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_o_int BOUND_VARIABLE_287888) (@ BOUND_VARIABLE_287889 BOUND_VARIABLE_287890)))))))))) (let ((_let_17720 (forall ((BOUND_VARIABLE_287854 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287855 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_287856 tptp.set_Product_unit) (BOUND_VARIABLE_287857 tptp.int)) (= (ll_2250 BOUND_VARIABLE_287854 BOUND_VARIABLE_287855 BOUND_VARIABLE_287856 BOUND_VARIABLE_287857) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287857)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3657 BOUND_VARIABLE_287854) BOUND_VARIABLE_287855)) BOUND_VARIABLE_287856))))))) (let ((_let_17721 (forall ((BOUND_VARIABLE_287836 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287837 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_287838 tptp.product_unit)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2249 BOUND_VARIABLE_287836 BOUND_VARIABLE_287837 BOUND_VARIABLE_287838) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_287836) (@ BOUND_VARIABLE_287837 BOUND_VARIABLE_287838)))))))))) (let ((_let_17722 (forall ((BOUND_VARIABLE_287802 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287803 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_287804 tptp.set_Product_unit) (BOUND_VARIABLE_287805 tptp.int)) (= (ll_2248 BOUND_VARIABLE_287802 BOUND_VARIABLE_287803 BOUND_VARIABLE_287804 BOUND_VARIABLE_287805) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287805)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3656 BOUND_VARIABLE_287802) BOUND_VARIABLE_287803)) BOUND_VARIABLE_287804))))))) (let ((_let_17723 (forall ((BOUND_VARIABLE_287789 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_287790 tptp.set_Product_unit) (BOUND_VARIABLE_287791 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287791)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_287789) BOUND_VARIABLE_287790))) (ll_2247 BOUND_VARIABLE_287789 BOUND_VARIABLE_287790 BOUND_VARIABLE_287791))))) (let ((_let_17724 (forall ((BOUND_VARIABLE_287771 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287772 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_287773 tptp.product_unit)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2246 BOUND_VARIABLE_287771 BOUND_VARIABLE_287772 BOUND_VARIABLE_287773) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_287771) (@ BOUND_VARIABLE_287772 BOUND_VARIABLE_287773)))))))))) (let ((_let_17725 (forall ((BOUND_VARIABLE_287737 (-> Bool tptp.int)) (BOUND_VARIABLE_287738 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_287739 tptp.set_int) (BOUND_VARIABLE_287740 tptp.int)) (= (ll_2245 BOUND_VARIABLE_287737 BOUND_VARIABLE_287738 BOUND_VARIABLE_287739 BOUND_VARIABLE_287740) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287740)) (@ (@ tptp.image_int_set_int (@ (@ ll_3655 BOUND_VARIABLE_287737) BOUND_VARIABLE_287738)) BOUND_VARIABLE_287739))))))) (let ((_let_17726 (forall ((BOUND_VARIABLE_287724 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_287725 tptp.set_int) (BOUND_VARIABLE_287726 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_287726)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_287724) BOUND_VARIABLE_287725))) (ll_2244 BOUND_VARIABLE_287724 BOUND_VARIABLE_287725 BOUND_VARIABLE_287726))))) (let ((_let_17727 (forall ((BOUND_VARIABLE_287706 (-> Bool tptp.int)) (BOUND_VARIABLE_287707 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_287708 tptp.int)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2243 BOUND_VARIABLE_287706 BOUND_VARIABLE_287707 BOUND_VARIABLE_287708) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_o_int BOUND_VARIABLE_287706) (@ BOUND_VARIABLE_287707 BOUND_VARIABLE_287708)))))))))) (let ((_let_17728 (forall ((BOUND_VARIABLE_287672 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287673 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_287674 tptp.set_int) (BOUND_VARIABLE_287675 tptp.int)) (= (ll_2242 BOUND_VARIABLE_287672 BOUND_VARIABLE_287673 BOUND_VARIABLE_287674 BOUND_VARIABLE_287675) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287675)) (@ (@ tptp.image_int_set_int (@ (@ ll_3654 BOUND_VARIABLE_287672) BOUND_VARIABLE_287673)) BOUND_VARIABLE_287674))))))) (let ((_let_17729 (forall ((BOUND_VARIABLE_287654 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287655 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_287656 tptp.int)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2241 BOUND_VARIABLE_287654 BOUND_VARIABLE_287655 BOUND_VARIABLE_287656) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_287654) (@ BOUND_VARIABLE_287655 BOUND_VARIABLE_287656)))))))))) (let ((_let_17730 (forall ((BOUND_VARIABLE_287620 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287621 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_287622 tptp.set_int) (BOUND_VARIABLE_287623 tptp.int)) (= (ll_2240 BOUND_VARIABLE_287620 BOUND_VARIABLE_287621 BOUND_VARIABLE_287622 BOUND_VARIABLE_287623) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287623)) (@ (@ tptp.image_int_set_int (@ (@ ll_3653 BOUND_VARIABLE_287620) BOUND_VARIABLE_287621)) BOUND_VARIABLE_287622))))))) (let ((_let_17731 (forall ((BOUND_VARIABLE_287607 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_287608 tptp.set_int) (BOUND_VARIABLE_287609 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287609)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_287607) BOUND_VARIABLE_287608))) (ll_2239 BOUND_VARIABLE_287607 BOUND_VARIABLE_287608 BOUND_VARIABLE_287609))))) (let ((_let_17732 (forall ((BOUND_VARIABLE_287589 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287590 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_287591 tptp.int)) (let ((_let_1 (@ (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ) (@ tptp.produc2626176000494625587at_nat ll_1490)))) (= (ll_2238 BOUND_VARIABLE_287589 BOUND_VARIABLE_287590 BOUND_VARIABLE_287591) (@ _let_1 (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int _let_1) (@ (@ tptp.image_int_int BOUND_VARIABLE_287589) (@ BOUND_VARIABLE_287590 BOUND_VARIABLE_287591)))))))))) (let ((_let_17733 (forall ((BOUND_VARIABLE_287554 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287555 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_287556 tptp.set_nat) (BOUND_VARIABLE_287557 tptp.int)) (= (ll_2237 BOUND_VARIABLE_287554 BOUND_VARIABLE_287555 BOUND_VARIABLE_287556 BOUND_VARIABLE_287557) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287557)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3652 BOUND_VARIABLE_287554) BOUND_VARIABLE_287555)) BOUND_VARIABLE_287556))))))) (let ((_let_17734 (forall ((BOUND_VARIABLE_287543 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287544 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_287545 tptp.nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_287543) (@ BOUND_VARIABLE_287544 BOUND_VARIABLE_287545))) (ll_2236 BOUND_VARIABLE_287543 BOUND_VARIABLE_287544 BOUND_VARIABLE_287545))))) (let ((_let_17735 (forall ((BOUND_VARIABLE_287530 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_287531 tptp.set_nat) (BOUND_VARIABLE_287532 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287532)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_287530) BOUND_VARIABLE_287531))) (ll_2235 BOUND_VARIABLE_287530 BOUND_VARIABLE_287531 BOUND_VARIABLE_287532))))) (let ((_let_17736 (forall ((BOUND_VARIABLE_287495 (-> Bool tptp.int)) (BOUND_VARIABLE_287496 (-> Bool tptp.set_o)) (BOUND_VARIABLE_287497 tptp.set_o) (BOUND_VARIABLE_287498 tptp.int)) (= (ll_2234 BOUND_VARIABLE_287495 BOUND_VARIABLE_287496 BOUND_VARIABLE_287497 BOUND_VARIABLE_287498) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287498)) (@ (@ tptp.image_o_set_int (@ (@ ll_3651 BOUND_VARIABLE_287495) BOUND_VARIABLE_287496)) BOUND_VARIABLE_287497))))))) (let ((_let_17737 (forall ((BOUND_VARIABLE_287484 (-> Bool tptp.int)) (BOUND_VARIABLE_287485 (-> Bool tptp.set_o)) (BOUND_VARIABLE_287486 Bool)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_287484) (@ BOUND_VARIABLE_287485 BOUND_VARIABLE_287486))) (ll_2233 BOUND_VARIABLE_287484 BOUND_VARIABLE_287485 BOUND_VARIABLE_287486))))) (let ((_let_17738 (forall ((BOUND_VARIABLE_287471 (-> Bool tptp.set_o)) (BOUND_VARIABLE_287472 tptp.set_o) (BOUND_VARIABLE_287473 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_287473)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_287471) BOUND_VARIABLE_287472))) (ll_2232 BOUND_VARIABLE_287471 BOUND_VARIABLE_287472 BOUND_VARIABLE_287473))))) (let ((_let_17739 (forall ((BOUND_VARIABLE_287436 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287437 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_287438 tptp.set_o) (BOUND_VARIABLE_287439 tptp.int)) (= (ll_2231 BOUND_VARIABLE_287436 BOUND_VARIABLE_287437 BOUND_VARIABLE_287438 BOUND_VARIABLE_287439) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287439)) (@ (@ tptp.image_o_set_int (@ (@ ll_3650 BOUND_VARIABLE_287436) BOUND_VARIABLE_287437)) BOUND_VARIABLE_287438))))))) (let ((_let_17740 (forall ((BOUND_VARIABLE_287425 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287426 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_287427 Bool)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_287425) (@ BOUND_VARIABLE_287426 BOUND_VARIABLE_287427))) (ll_2230 BOUND_VARIABLE_287425 BOUND_VARIABLE_287426 BOUND_VARIABLE_287427))))) (let ((_let_17741 (forall ((BOUND_VARIABLE_287390 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287391 (-> Bool tptp.set_int)) (BOUND_VARIABLE_287392 tptp.set_o) (BOUND_VARIABLE_287393 tptp.int)) (= (ll_2229 BOUND_VARIABLE_287390 BOUND_VARIABLE_287391 BOUND_VARIABLE_287392 BOUND_VARIABLE_287393) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287393)) (@ (@ tptp.image_o_set_int (@ (@ ll_3649 BOUND_VARIABLE_287390) BOUND_VARIABLE_287391)) BOUND_VARIABLE_287392))))))) (let ((_let_17742 (forall ((BOUND_VARIABLE_287379 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287380 (-> Bool tptp.set_int)) (BOUND_VARIABLE_287381 Bool)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_287379) (@ BOUND_VARIABLE_287380 BOUND_VARIABLE_287381))) (ll_2228 BOUND_VARIABLE_287379 BOUND_VARIABLE_287380 BOUND_VARIABLE_287381))))) (let ((_let_17743 (forall ((BOUND_VARIABLE_287366 (-> Bool tptp.set_int)) (BOUND_VARIABLE_287367 tptp.set_o) (BOUND_VARIABLE_287368 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287368)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_287366) BOUND_VARIABLE_287367))) (ll_2227 BOUND_VARIABLE_287366 BOUND_VARIABLE_287367 BOUND_VARIABLE_287368))))) (let ((_let_17744 (forall ((BOUND_VARIABLE_287331 (-> Bool tptp.int)) (BOUND_VARIABLE_287332 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_287333 tptp.set_Product_unit) (BOUND_VARIABLE_287334 tptp.int)) (= (ll_2226 BOUND_VARIABLE_287331 BOUND_VARIABLE_287332 BOUND_VARIABLE_287333 BOUND_VARIABLE_287334) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287334)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3648 BOUND_VARIABLE_287331) BOUND_VARIABLE_287332)) BOUND_VARIABLE_287333))))))) (let ((_let_17745 (forall ((BOUND_VARIABLE_287320 (-> Bool tptp.int)) (BOUND_VARIABLE_287321 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_287322 tptp.product_unit)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_287320) (@ BOUND_VARIABLE_287321 BOUND_VARIABLE_287322))) (ll_2225 BOUND_VARIABLE_287320 BOUND_VARIABLE_287321 BOUND_VARIABLE_287322))))) (let ((_let_17746 (forall ((BOUND_VARIABLE_287307 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_287308 tptp.set_Product_unit) (BOUND_VARIABLE_287309 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_287309)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_287307) BOUND_VARIABLE_287308))) (ll_2224 BOUND_VARIABLE_287307 BOUND_VARIABLE_287308 BOUND_VARIABLE_287309))))) (let ((_let_17747 (forall ((BOUND_VARIABLE_287272 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287273 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_287274 tptp.set_Product_unit) (BOUND_VARIABLE_287275 tptp.int)) (= (ll_2223 BOUND_VARIABLE_287272 BOUND_VARIABLE_287273 BOUND_VARIABLE_287274 BOUND_VARIABLE_287275) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287275)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3647 BOUND_VARIABLE_287272) BOUND_VARIABLE_287273)) BOUND_VARIABLE_287274))))))) (let ((_let_17748 (forall ((BOUND_VARIABLE_287261 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287262 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_287263 tptp.product_unit)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_287261) (@ BOUND_VARIABLE_287262 BOUND_VARIABLE_287263))) (ll_2222 BOUND_VARIABLE_287261 BOUND_VARIABLE_287262 BOUND_VARIABLE_287263))))) (let ((_let_17749 (forall ((BOUND_VARIABLE_287226 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287227 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_287228 tptp.set_Product_unit) (BOUND_VARIABLE_287229 tptp.int)) (= (ll_2221 BOUND_VARIABLE_287226 BOUND_VARIABLE_287227 BOUND_VARIABLE_287228 BOUND_VARIABLE_287229) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287229)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3646 BOUND_VARIABLE_287226) BOUND_VARIABLE_287227)) BOUND_VARIABLE_287228))))))) (let ((_let_17750 (forall ((BOUND_VARIABLE_287215 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287216 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_287217 tptp.product_unit)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_287215) (@ BOUND_VARIABLE_287216 BOUND_VARIABLE_287217))) (ll_2220 BOUND_VARIABLE_287215 BOUND_VARIABLE_287216 BOUND_VARIABLE_287217))))) (let ((_let_17751 (forall ((BOUND_VARIABLE_287202 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_287203 tptp.set_Product_unit) (BOUND_VARIABLE_287204 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287204)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_287202) BOUND_VARIABLE_287203))) (ll_2219 BOUND_VARIABLE_287202 BOUND_VARIABLE_287203 BOUND_VARIABLE_287204))))) (let ((_let_17752 (forall ((BOUND_VARIABLE_287167 (-> Bool tptp.int)) (BOUND_VARIABLE_287168 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_287169 tptp.set_int) (BOUND_VARIABLE_287170 tptp.int)) (= (ll_2218 BOUND_VARIABLE_287167 BOUND_VARIABLE_287168 BOUND_VARIABLE_287169 BOUND_VARIABLE_287170) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287170)) (@ (@ tptp.image_int_set_int (@ (@ ll_3645 BOUND_VARIABLE_287167) BOUND_VARIABLE_287168)) BOUND_VARIABLE_287169))))))) (let ((_let_17753 (forall ((BOUND_VARIABLE_287156 (-> Bool tptp.int)) (BOUND_VARIABLE_287157 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_287158 tptp.int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_287156) (@ BOUND_VARIABLE_287157 BOUND_VARIABLE_287158))) (ll_2217 BOUND_VARIABLE_287156 BOUND_VARIABLE_287157 BOUND_VARIABLE_287158))))) (let ((_let_17754 (forall ((BOUND_VARIABLE_287143 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_287144 tptp.set_int) (BOUND_VARIABLE_287145 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_287145)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_287143) BOUND_VARIABLE_287144))) (ll_2216 BOUND_VARIABLE_287143 BOUND_VARIABLE_287144 BOUND_VARIABLE_287145))))) (let ((_let_17755 (forall ((BOUND_VARIABLE_287108 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287109 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_287110 tptp.set_int) (BOUND_VARIABLE_287111 tptp.int)) (= (ll_2215 BOUND_VARIABLE_287108 BOUND_VARIABLE_287109 BOUND_VARIABLE_287110 BOUND_VARIABLE_287111) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287111)) (@ (@ tptp.image_int_set_int (@ (@ ll_3644 BOUND_VARIABLE_287108) BOUND_VARIABLE_287109)) BOUND_VARIABLE_287110))))))) (let ((_let_17756 (forall ((BOUND_VARIABLE_287097 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_287098 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_287099 tptp.int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_287097) (@ BOUND_VARIABLE_287098 BOUND_VARIABLE_287099))) (ll_2214 BOUND_VARIABLE_287097 BOUND_VARIABLE_287098 BOUND_VARIABLE_287099))))) (let ((_let_17757 (forall ((BOUND_VARIABLE_287062 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287063 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_287064 tptp.set_int) (BOUND_VARIABLE_287065 tptp.int)) (= (ll_2213 BOUND_VARIABLE_287062 BOUND_VARIABLE_287063 BOUND_VARIABLE_287064 BOUND_VARIABLE_287065) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287065)) (@ (@ tptp.image_int_set_int (@ (@ ll_3643 BOUND_VARIABLE_287062) BOUND_VARIABLE_287063)) BOUND_VARIABLE_287064))))))) (let ((_let_17758 (forall ((BOUND_VARIABLE_287051 (-> tptp.int tptp.int)) (BOUND_VARIABLE_287052 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_287053 tptp.int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_287051) (@ BOUND_VARIABLE_287052 BOUND_VARIABLE_287053))) (ll_2212 BOUND_VARIABLE_287051 BOUND_VARIABLE_287052 BOUND_VARIABLE_287053))))) (let ((_let_17759 (forall ((BOUND_VARIABLE_287038 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_287039 tptp.set_int) (BOUND_VARIABLE_287040 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_287040)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_287038) BOUND_VARIABLE_287039))) (ll_2211 BOUND_VARIABLE_287038 BOUND_VARIABLE_287039 BOUND_VARIABLE_287040))))) (let ((_let_17760 (forall ((BOUND_VARIABLE_287005 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_287006 tptp.set_nat) (BOUND_VARIABLE_287007 tptp.nat)) (= (ll_2210 BOUND_VARIABLE_287005 BOUND_VARIABLE_287006 BOUND_VARIABLE_287007) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_287007)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3642 BOUND_VARIABLE_287005) BOUND_VARIABLE_287006)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17761 (forall ((BOUND_VARIABLE_286971 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_286972 tptp.set_nat) (BOUND_VARIABLE_286973 tptp.set_Product_unit) (BOUND_VARIABLE_286974 tptp.nat)) (= (ll_2209 BOUND_VARIABLE_286971 BOUND_VARIABLE_286972 BOUND_VARIABLE_286973 BOUND_VARIABLE_286974) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_286974)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3641 BOUND_VARIABLE_286971) BOUND_VARIABLE_286972)) BOUND_VARIABLE_286973))))))) (let ((_let_17762 (forall ((BOUND_VARIABLE_286958 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_286959 tptp.set_Product_unit) (BOUND_VARIABLE_286960 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_286960)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_286958) BOUND_VARIABLE_286959))) (ll_2208 BOUND_VARIABLE_286958 BOUND_VARIABLE_286959 BOUND_VARIABLE_286960))))) (let ((_let_17763 (forall ((BOUND_VARIABLE_286925 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_286926 tptp.set_int) (BOUND_VARIABLE_286927 tptp.int)) (= (ll_2207 BOUND_VARIABLE_286925 BOUND_VARIABLE_286926 BOUND_VARIABLE_286927) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286927)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3640 BOUND_VARIABLE_286925) BOUND_VARIABLE_286926)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17764 (forall ((BOUND_VARIABLE_286891 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_286892 tptp.set_int) (BOUND_VARIABLE_286893 tptp.set_nat) (BOUND_VARIABLE_286894 tptp.int)) (= (ll_2206 BOUND_VARIABLE_286891 BOUND_VARIABLE_286892 BOUND_VARIABLE_286893 BOUND_VARIABLE_286894) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286894)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3639 BOUND_VARIABLE_286891) BOUND_VARIABLE_286892)) BOUND_VARIABLE_286893))))))) (let ((_let_17765 (forall ((BOUND_VARIABLE_286878 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_286879 tptp.set_nat) (BOUND_VARIABLE_286880 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286880)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_286878) BOUND_VARIABLE_286879))) (ll_2205 BOUND_VARIABLE_286878 BOUND_VARIABLE_286879 BOUND_VARIABLE_286880))))) (let ((_let_17766 (forall ((BOUND_VARIABLE_286845 (-> Bool tptp.set_int)) (BOUND_VARIABLE_286846 tptp.set_int) (BOUND_VARIABLE_286847 tptp.int)) (= (ll_2204 BOUND_VARIABLE_286845 BOUND_VARIABLE_286846 BOUND_VARIABLE_286847) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286847)) (@ (@ tptp.image_o_set_int (@ (@ ll_3638 BOUND_VARIABLE_286845) BOUND_VARIABLE_286846)) tptp.bot_bot_set_o))))))) (let ((_let_17767 (forall ((BOUND_VARIABLE_286811 (-> Bool tptp.set_int)) (BOUND_VARIABLE_286812 tptp.set_int) (BOUND_VARIABLE_286813 tptp.set_o) (BOUND_VARIABLE_286814 tptp.int)) (= (ll_2203 BOUND_VARIABLE_286811 BOUND_VARIABLE_286812 BOUND_VARIABLE_286813 BOUND_VARIABLE_286814) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286814)) (@ (@ tptp.image_o_set_int (@ (@ ll_3637 BOUND_VARIABLE_286811) BOUND_VARIABLE_286812)) BOUND_VARIABLE_286813))))))) (let ((_let_17768 (forall ((BOUND_VARIABLE_286798 (-> Bool tptp.set_int)) (BOUND_VARIABLE_286799 tptp.set_o) (BOUND_VARIABLE_286800 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286800)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_286798) BOUND_VARIABLE_286799))) (ll_2202 BOUND_VARIABLE_286798 BOUND_VARIABLE_286799 BOUND_VARIABLE_286800))))) (let ((_let_17769 (forall ((BOUND_VARIABLE_286765 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_286766 tptp.set_int) (BOUND_VARIABLE_286767 tptp.int)) (= (ll_2201 BOUND_VARIABLE_286765 BOUND_VARIABLE_286766 BOUND_VARIABLE_286767) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286767)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3636 BOUND_VARIABLE_286765) BOUND_VARIABLE_286766)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17770 (forall ((BOUND_VARIABLE_286731 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_286732 tptp.set_int) (BOUND_VARIABLE_286733 tptp.set_Product_unit) (BOUND_VARIABLE_286734 tptp.int)) (= (ll_2200 BOUND_VARIABLE_286731 BOUND_VARIABLE_286732 BOUND_VARIABLE_286733 BOUND_VARIABLE_286734) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286734)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3635 BOUND_VARIABLE_286731) BOUND_VARIABLE_286732)) BOUND_VARIABLE_286733))))))) (let ((_let_17771 (forall ((BOUND_VARIABLE_286718 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_286719 tptp.set_Product_unit) (BOUND_VARIABLE_286720 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286720)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_286718) BOUND_VARIABLE_286719))) (ll_2199 BOUND_VARIABLE_286718 BOUND_VARIABLE_286719 BOUND_VARIABLE_286720))))) (let ((_let_17772 (forall ((BOUND_VARIABLE_286708 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_286709 tptp.set_rat) (BOUND_VARIABLE_286710 tptp.nat)) (= (@ (@ tptp.inf_inf_set_rat (@ BOUND_VARIABLE_286708 BOUND_VARIABLE_286710)) BOUND_VARIABLE_286709) (ll_2198 BOUND_VARIABLE_286708 BOUND_VARIABLE_286709 BOUND_VARIABLE_286710))))) (let ((_let_17773 (forall ((BOUND_VARIABLE_286698 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_286699 tptp.set_rat) (BOUND_VARIABLE_286700 tptp.nat)) (= (@ (@ tptp.inf_inf_set_rat (@ BOUND_VARIABLE_286698 BOUND_VARIABLE_286700)) BOUND_VARIABLE_286699) (ll_2197 BOUND_VARIABLE_286698 BOUND_VARIABLE_286699 BOUND_VARIABLE_286700))))) (let ((_let_17774 (forall ((BOUND_VARIABLE_286688 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_286689 tptp.set_rat) (BOUND_VARIABLE_286690 Bool)) (= (@ (@ tptp.inf_inf_set_rat (@ BOUND_VARIABLE_286688 BOUND_VARIABLE_286690)) BOUND_VARIABLE_286689) (ll_2196 BOUND_VARIABLE_286688 BOUND_VARIABLE_286689 BOUND_VARIABLE_286690))))) (let ((_let_17775 (forall ((BOUND_VARIABLE_286678 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_286679 tptp.set_rat) (BOUND_VARIABLE_286680 Bool)) (= (@ (@ tptp.inf_inf_set_rat (@ BOUND_VARIABLE_286678 BOUND_VARIABLE_286680)) BOUND_VARIABLE_286679) (ll_2195 BOUND_VARIABLE_286678 BOUND_VARIABLE_286679 BOUND_VARIABLE_286680))))) (let ((_let_17776 (forall ((BOUND_VARIABLE_286668 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_286669 tptp.set_rat) (BOUND_VARIABLE_286670 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_rat (@ BOUND_VARIABLE_286668 BOUND_VARIABLE_286670)) BOUND_VARIABLE_286669) (ll_2194 BOUND_VARIABLE_286668 BOUND_VARIABLE_286669 BOUND_VARIABLE_286670))))) (let ((_let_17777 (forall ((BOUND_VARIABLE_286658 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_286659 tptp.set_rat) (BOUND_VARIABLE_286660 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_rat (@ BOUND_VARIABLE_286658 BOUND_VARIABLE_286660)) BOUND_VARIABLE_286659) (ll_2193 BOUND_VARIABLE_286658 BOUND_VARIABLE_286659 BOUND_VARIABLE_286660))))) (let ((_let_17778 (forall ((BOUND_VARIABLE_286648 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_286649 tptp.set_char) (BOUND_VARIABLE_286650 tptp.nat)) (= (@ (@ tptp.inf_inf_set_char (@ BOUND_VARIABLE_286648 BOUND_VARIABLE_286650)) BOUND_VARIABLE_286649) (ll_2192 BOUND_VARIABLE_286648 BOUND_VARIABLE_286649 BOUND_VARIABLE_286650))))) (let ((_let_17779 (forall ((BOUND_VARIABLE_286638 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_286639 tptp.set_char) (BOUND_VARIABLE_286640 tptp.nat)) (= (@ (@ tptp.inf_inf_set_char (@ BOUND_VARIABLE_286638 BOUND_VARIABLE_286640)) BOUND_VARIABLE_286639) (ll_2191 BOUND_VARIABLE_286638 BOUND_VARIABLE_286639 BOUND_VARIABLE_286640))))) (let ((_let_17780 (forall ((BOUND_VARIABLE_286628 (-> Bool tptp.set_char)) (BOUND_VARIABLE_286629 tptp.set_char) (BOUND_VARIABLE_286630 Bool)) (= (@ (@ tptp.inf_inf_set_char (@ BOUND_VARIABLE_286628 BOUND_VARIABLE_286630)) BOUND_VARIABLE_286629) (ll_2190 BOUND_VARIABLE_286628 BOUND_VARIABLE_286629 BOUND_VARIABLE_286630))))) (let ((_let_17781 (forall ((BOUND_VARIABLE_286618 (-> Bool tptp.set_char)) (BOUND_VARIABLE_286619 tptp.set_char) (BOUND_VARIABLE_286620 Bool)) (= (@ (@ tptp.inf_inf_set_char (@ BOUND_VARIABLE_286618 BOUND_VARIABLE_286620)) BOUND_VARIABLE_286619) (ll_2189 BOUND_VARIABLE_286618 BOUND_VARIABLE_286619 BOUND_VARIABLE_286620))))) (let ((_let_17782 (forall ((BOUND_VARIABLE_286608 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_286609 tptp.set_char) (BOUND_VARIABLE_286610 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_char (@ BOUND_VARIABLE_286608 BOUND_VARIABLE_286610)) BOUND_VARIABLE_286609) (ll_2188 BOUND_VARIABLE_286608 BOUND_VARIABLE_286609 BOUND_VARIABLE_286610))))) (let ((_let_17783 (forall ((BOUND_VARIABLE_286598 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_286599 tptp.set_char) (BOUND_VARIABLE_286600 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_char (@ BOUND_VARIABLE_286598 BOUND_VARIABLE_286600)) BOUND_VARIABLE_286599) (ll_2187 BOUND_VARIABLE_286598 BOUND_VARIABLE_286599 BOUND_VARIABLE_286600))))) (let ((_let_17784 (forall ((BOUND_VARIABLE_286565 tptp.set_nat) (BOUND_VARIABLE_286566 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_286567 tptp.nat)) (= (ll_2186 BOUND_VARIABLE_286565 BOUND_VARIABLE_286566 BOUND_VARIABLE_286567) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_286567)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3634 BOUND_VARIABLE_286565) BOUND_VARIABLE_286566)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17785 (forall ((BOUND_VARIABLE_286531 tptp.set_nat) (BOUND_VARIABLE_286532 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_286533 tptp.set_Product_unit) (BOUND_VARIABLE_286534 tptp.nat)) (= (ll_2185 BOUND_VARIABLE_286531 BOUND_VARIABLE_286532 BOUND_VARIABLE_286533 BOUND_VARIABLE_286534) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_286534)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3633 BOUND_VARIABLE_286531) BOUND_VARIABLE_286532)) BOUND_VARIABLE_286533))))))) (let ((_let_17786 (forall ((BOUND_VARIABLE_286518 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_286519 tptp.set_Product_unit) (BOUND_VARIABLE_286520 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_286520)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_286518) BOUND_VARIABLE_286519))) (ll_2184 BOUND_VARIABLE_286518 BOUND_VARIABLE_286519 BOUND_VARIABLE_286520))))) (let ((_let_17787 (forall ((BOUND_VARIABLE_286485 tptp.set_int) (BOUND_VARIABLE_286486 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_286487 tptp.int)) (= (ll_2183 BOUND_VARIABLE_286485 BOUND_VARIABLE_286486 BOUND_VARIABLE_286487) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286487)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3632 BOUND_VARIABLE_286485) BOUND_VARIABLE_286486)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17788 (forall ((BOUND_VARIABLE_286451 tptp.set_int) (BOUND_VARIABLE_286452 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_286453 tptp.set_nat) (BOUND_VARIABLE_286454 tptp.int)) (= (ll_2182 BOUND_VARIABLE_286451 BOUND_VARIABLE_286452 BOUND_VARIABLE_286453 BOUND_VARIABLE_286454) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286454)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3631 BOUND_VARIABLE_286451) BOUND_VARIABLE_286452)) BOUND_VARIABLE_286453))))))) (let ((_let_17789 (forall ((BOUND_VARIABLE_286438 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_286439 tptp.set_nat) (BOUND_VARIABLE_286440 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286440)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_286438) BOUND_VARIABLE_286439))) (ll_2181 BOUND_VARIABLE_286438 BOUND_VARIABLE_286439 BOUND_VARIABLE_286440))))) (let ((_let_17790 (forall ((BOUND_VARIABLE_286405 tptp.set_int) (BOUND_VARIABLE_286406 (-> Bool tptp.set_int)) (BOUND_VARIABLE_286407 tptp.int)) (= (ll_2180 BOUND_VARIABLE_286405 BOUND_VARIABLE_286406 BOUND_VARIABLE_286407) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286407)) (@ (@ tptp.image_o_set_int (@ (@ ll_3630 BOUND_VARIABLE_286405) BOUND_VARIABLE_286406)) tptp.bot_bot_set_o))))))) (let ((_let_17791 (forall ((BOUND_VARIABLE_286371 tptp.set_int) (BOUND_VARIABLE_286372 (-> Bool tptp.set_int)) (BOUND_VARIABLE_286373 tptp.set_o) (BOUND_VARIABLE_286374 tptp.int)) (= (ll_2179 BOUND_VARIABLE_286371 BOUND_VARIABLE_286372 BOUND_VARIABLE_286373 BOUND_VARIABLE_286374) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286374)) (@ (@ tptp.image_o_set_int (@ (@ ll_3629 BOUND_VARIABLE_286371) BOUND_VARIABLE_286372)) BOUND_VARIABLE_286373))))))) (let ((_let_17792 (forall ((BOUND_VARIABLE_286358 (-> Bool tptp.set_int)) (BOUND_VARIABLE_286359 tptp.set_o) (BOUND_VARIABLE_286360 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286360)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_286358) BOUND_VARIABLE_286359))) (ll_2178 BOUND_VARIABLE_286358 BOUND_VARIABLE_286359 BOUND_VARIABLE_286360))))) (let ((_let_17793 (forall ((BOUND_VARIABLE_286325 tptp.set_int) (BOUND_VARIABLE_286326 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_286327 tptp.int)) (= (ll_2177 BOUND_VARIABLE_286325 BOUND_VARIABLE_286326 BOUND_VARIABLE_286327) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286327)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3628 BOUND_VARIABLE_286325) BOUND_VARIABLE_286326)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17794 (forall ((BOUND_VARIABLE_286291 tptp.set_int) (BOUND_VARIABLE_286292 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_286293 tptp.set_Product_unit) (BOUND_VARIABLE_286294 tptp.int)) (= (ll_2176 BOUND_VARIABLE_286291 BOUND_VARIABLE_286292 BOUND_VARIABLE_286293 BOUND_VARIABLE_286294) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286294)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3627 BOUND_VARIABLE_286291) BOUND_VARIABLE_286292)) BOUND_VARIABLE_286293))))))) (let ((_let_17795 (forall ((BOUND_VARIABLE_286278 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_286279 tptp.set_Product_unit) (BOUND_VARIABLE_286280 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_286280)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_286278) BOUND_VARIABLE_286279))) (ll_2175 BOUND_VARIABLE_286278 BOUND_VARIABLE_286279 BOUND_VARIABLE_286280))))) (let ((_let_17796 (forall ((BOUND_VARIABLE_286268 tptp.set_rat) (BOUND_VARIABLE_286269 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_286270 tptp.nat)) (= (@ (@ tptp.inf_inf_set_rat BOUND_VARIABLE_286268) (@ BOUND_VARIABLE_286269 BOUND_VARIABLE_286270)) (ll_2174 BOUND_VARIABLE_286268 BOUND_VARIABLE_286269 BOUND_VARIABLE_286270))))) (let ((_let_17797 (forall ((BOUND_VARIABLE_286258 tptp.set_rat) (BOUND_VARIABLE_286259 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_286260 tptp.nat)) (= (@ (@ tptp.inf_inf_set_rat BOUND_VARIABLE_286258) (@ BOUND_VARIABLE_286259 BOUND_VARIABLE_286260)) (ll_2173 BOUND_VARIABLE_286258 BOUND_VARIABLE_286259 BOUND_VARIABLE_286260))))) (let ((_let_17798 (forall ((BOUND_VARIABLE_286248 tptp.set_rat) (BOUND_VARIABLE_286249 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_286250 Bool)) (= (@ (@ tptp.inf_inf_set_rat BOUND_VARIABLE_286248) (@ BOUND_VARIABLE_286249 BOUND_VARIABLE_286250)) (ll_2172 BOUND_VARIABLE_286248 BOUND_VARIABLE_286249 BOUND_VARIABLE_286250))))) (let ((_let_17799 (forall ((BOUND_VARIABLE_286238 tptp.set_rat) (BOUND_VARIABLE_286239 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_286240 Bool)) (= (@ (@ tptp.inf_inf_set_rat BOUND_VARIABLE_286238) (@ BOUND_VARIABLE_286239 BOUND_VARIABLE_286240)) (ll_2171 BOUND_VARIABLE_286238 BOUND_VARIABLE_286239 BOUND_VARIABLE_286240))))) (let ((_let_17800 (forall ((BOUND_VARIABLE_286228 tptp.set_rat) (BOUND_VARIABLE_286229 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_286230 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_rat BOUND_VARIABLE_286228) (@ BOUND_VARIABLE_286229 BOUND_VARIABLE_286230)) (ll_2170 BOUND_VARIABLE_286228 BOUND_VARIABLE_286229 BOUND_VARIABLE_286230))))) (let ((_let_17801 (forall ((BOUND_VARIABLE_286218 tptp.set_rat) (BOUND_VARIABLE_286219 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_286220 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_rat BOUND_VARIABLE_286218) (@ BOUND_VARIABLE_286219 BOUND_VARIABLE_286220)) (ll_2169 BOUND_VARIABLE_286218 BOUND_VARIABLE_286219 BOUND_VARIABLE_286220))))) (let ((_let_17802 (forall ((BOUND_VARIABLE_286208 tptp.set_char) (BOUND_VARIABLE_286209 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_286210 tptp.nat)) (= (@ (@ tptp.inf_inf_set_char BOUND_VARIABLE_286208) (@ BOUND_VARIABLE_286209 BOUND_VARIABLE_286210)) (ll_2168 BOUND_VARIABLE_286208 BOUND_VARIABLE_286209 BOUND_VARIABLE_286210))))) (let ((_let_17803 (forall ((BOUND_VARIABLE_286198 tptp.set_char) (BOUND_VARIABLE_286199 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_286200 tptp.nat)) (= (@ (@ tptp.inf_inf_set_char BOUND_VARIABLE_286198) (@ BOUND_VARIABLE_286199 BOUND_VARIABLE_286200)) (ll_2167 BOUND_VARIABLE_286198 BOUND_VARIABLE_286199 BOUND_VARIABLE_286200))))) (let ((_let_17804 (forall ((BOUND_VARIABLE_286188 tptp.set_char) (BOUND_VARIABLE_286189 (-> Bool tptp.set_char)) (BOUND_VARIABLE_286190 Bool)) (= (@ (@ tptp.inf_inf_set_char BOUND_VARIABLE_286188) (@ BOUND_VARIABLE_286189 BOUND_VARIABLE_286190)) (ll_2166 BOUND_VARIABLE_286188 BOUND_VARIABLE_286189 BOUND_VARIABLE_286190))))) (let ((_let_17805 (forall ((BOUND_VARIABLE_286178 tptp.set_char) (BOUND_VARIABLE_286179 (-> Bool tptp.set_char)) (BOUND_VARIABLE_286180 Bool)) (= (@ (@ tptp.inf_inf_set_char BOUND_VARIABLE_286178) (@ BOUND_VARIABLE_286179 BOUND_VARIABLE_286180)) (ll_2165 BOUND_VARIABLE_286178 BOUND_VARIABLE_286179 BOUND_VARIABLE_286180))))) (let ((_let_17806 (forall ((BOUND_VARIABLE_286168 tptp.set_char) (BOUND_VARIABLE_286169 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_286170 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_char BOUND_VARIABLE_286168) (@ BOUND_VARIABLE_286169 BOUND_VARIABLE_286170)) (ll_2164 BOUND_VARIABLE_286168 BOUND_VARIABLE_286169 BOUND_VARIABLE_286170))))) (let ((_let_17807 (forall ((BOUND_VARIABLE_286158 tptp.set_char) (BOUND_VARIABLE_286159 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_286160 tptp.product_unit)) (= (@ (@ tptp.inf_inf_set_char BOUND_VARIABLE_286158) (@ BOUND_VARIABLE_286159 BOUND_VARIABLE_286160)) (ll_2163 BOUND_VARIABLE_286158 BOUND_VARIABLE_286159 BOUND_VARIABLE_286160))))) (let ((_let_17808 (forall ((BOUND_VARIABLE_286113 tptp.int) (BOUND_VARIABLE_286114 tptp.set_int) (BOUND_VARIABLE_286115 tptp.int) (BOUND_VARIABLE_286116 tptp.set_int) (BOUND_VARIABLE_286117 tptp.product_prod_int_int)) (= (ll_2162 BOUND_VARIABLE_286113 BOUND_VARIABLE_286114 BOUND_VARIABLE_286115 BOUND_VARIABLE_286116 BOUND_VARIABLE_286117) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_286117)) (@ (@ tptp.image_8635204845542730022nt_int (@ (@ ll_3626 BOUND_VARIABLE_286113) BOUND_VARIABLE_286114)) (@ (@ tptp.insert_int BOUND_VARIABLE_286115) BOUND_VARIABLE_286116)))))))) (let ((_let_17809 (forall ((BOUND_VARIABLE_286070 tptp.int) (BOUND_VARIABLE_286071 tptp.set_int) (BOUND_VARIABLE_286072 tptp.set_int) (BOUND_VARIABLE_286073 tptp.product_prod_int_int)) (= (ll_2161 BOUND_VARIABLE_286070 BOUND_VARIABLE_286071 BOUND_VARIABLE_286072 BOUND_VARIABLE_286073) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_286073)) (@ (@ tptp.image_8635204845542730022nt_int (@ (@ ll_3625 BOUND_VARIABLE_286070) BOUND_VARIABLE_286071)) BOUND_VARIABLE_286072))))))) (let ((_let_17810 (forall ((BOUND_VARIABLE_286032 tptp.set_int) (BOUND_VARIABLE_286033 tptp.int) (BOUND_VARIABLE_286034 tptp.set_int) (BOUND_VARIABLE_286035 tptp.product_prod_int_int)) (= (ll_2160 BOUND_VARIABLE_286032 BOUND_VARIABLE_286033 BOUND_VARIABLE_286034 BOUND_VARIABLE_286035) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_286035)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3624 BOUND_VARIABLE_286032)) (@ (@ tptp.insert_int BOUND_VARIABLE_286033) BOUND_VARIABLE_286034)))))))) (let ((_let_17811 (forall ((BOUND_VARIABLE_286001 tptp.num) (BOUND_VARIABLE_286002 tptp.set_num) (BOUND_VARIABLE_286003 tptp.nat)) (= (ll_2159 BOUND_VARIABLE_286001 BOUND_VARIABLE_286002 BOUND_VARIABLE_286003) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3623 BOUND_VARIABLE_286003)) (@ (@ tptp.insert_num BOUND_VARIABLE_286001) BOUND_VARIABLE_286002))))))) (let ((_let_17812 (forall ((BOUND_VARIABLE_285973 tptp.set_num) (BOUND_VARIABLE_285974 tptp.nat)) (= (ll_2158 BOUND_VARIABLE_285973 BOUND_VARIABLE_285974) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3622 BOUND_VARIABLE_285974)) BOUND_VARIABLE_285973)))))) (let ((_let_17813 (forall ((BOUND_VARIABLE_285964 Bool) (BOUND_VARIABLE_285965 tptp.set_o) (BOUND_VARIABLE_285966 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_285964) BOUND_VARIABLE_285965) (ll_2157 BOUND_VARIABLE_285964 BOUND_VARIABLE_285965 BOUND_VARIABLE_285966))))) (let ((_let_17814 (forall ((BOUND_VARIABLE_285955 Bool) (BOUND_VARIABLE_285956 tptp.set_o) (BOUND_VARIABLE_285957 Bool)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_285955) BOUND_VARIABLE_285956) (ll_2156 BOUND_VARIABLE_285955 BOUND_VARIABLE_285956 BOUND_VARIABLE_285957))))) (let ((_let_17815 (forall ((BOUND_VARIABLE_285949 tptp.set_o) (BOUND_VARIABLE_285950 Bool)) (= BOUND_VARIABLE_285949 (ll_2155 BOUND_VARIABLE_285949 BOUND_VARIABLE_285950))))) (let ((_let_17816 (forall ((BOUND_VARIABLE_285940 tptp.product_unit) (BOUND_VARIABLE_285941 tptp.set_Product_unit) (BOUND_VARIABLE_285942 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_285940) BOUND_VARIABLE_285941) (ll_2154 BOUND_VARIABLE_285940 BOUND_VARIABLE_285941 BOUND_VARIABLE_285942))))) (let ((_let_17817 (forall ((BOUND_VARIABLE_285931 tptp.product_unit) (BOUND_VARIABLE_285932 tptp.set_Product_unit) (BOUND_VARIABLE_285933 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_285931) BOUND_VARIABLE_285932) (ll_2153 BOUND_VARIABLE_285931 BOUND_VARIABLE_285932 BOUND_VARIABLE_285933))))) (let ((_let_17818 (forall ((BOUND_VARIABLE_285925 tptp.set_Product_unit) (BOUND_VARIABLE_285926 Bool)) (= BOUND_VARIABLE_285925 (ll_2152 BOUND_VARIABLE_285925 BOUND_VARIABLE_285926))))) (let ((_let_17819 (forall ((BOUND_VARIABLE_285916 tptp.nat) (BOUND_VARIABLE_285917 tptp.set_nat) (BOUND_VARIABLE_285918 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_285916) BOUND_VARIABLE_285917) (ll_2151 BOUND_VARIABLE_285916 BOUND_VARIABLE_285917 BOUND_VARIABLE_285918))))) (let ((_let_17820 (forall ((BOUND_VARIABLE_285907 tptp.nat) (BOUND_VARIABLE_285908 tptp.set_nat) (BOUND_VARIABLE_285909 Bool)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_285907) BOUND_VARIABLE_285908) (ll_2150 BOUND_VARIABLE_285907 BOUND_VARIABLE_285908 BOUND_VARIABLE_285909))))) (let ((_let_17821 (forall ((BOUND_VARIABLE_285901 tptp.set_nat) (BOUND_VARIABLE_285902 Bool)) (= BOUND_VARIABLE_285901 (ll_2149 BOUND_VARIABLE_285901 BOUND_VARIABLE_285902))))) (let ((_let_17822 (forall ((BOUND_VARIABLE_285892 Bool) (BOUND_VARIABLE_285893 tptp.set_o) (BOUND_VARIABLE_285894 tptp.product_unit)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_285892) BOUND_VARIABLE_285893) (ll_2148 BOUND_VARIABLE_285892 BOUND_VARIABLE_285893 BOUND_VARIABLE_285894))))) (let ((_let_17823 (forall ((BOUND_VARIABLE_285883 Bool) (BOUND_VARIABLE_285884 tptp.set_o) (BOUND_VARIABLE_285885 tptp.product_unit)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_285883) BOUND_VARIABLE_285884) (ll_2147 BOUND_VARIABLE_285883 BOUND_VARIABLE_285884 BOUND_VARIABLE_285885))))) (let ((_let_17824 (forall ((BOUND_VARIABLE_285877 tptp.set_o) (BOUND_VARIABLE_285878 tptp.product_unit)) (= BOUND_VARIABLE_285877 (ll_2146 BOUND_VARIABLE_285877 BOUND_VARIABLE_285878))))) (let ((_let_17825 (forall ((BOUND_VARIABLE_285868 tptp.product_unit) (BOUND_VARIABLE_285869 tptp.set_Product_unit) (BOUND_VARIABLE_285870 tptp.product_unit)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_285868) BOUND_VARIABLE_285869) (ll_2145 BOUND_VARIABLE_285868 BOUND_VARIABLE_285869 BOUND_VARIABLE_285870))))) (let ((_let_17826 (forall ((BOUND_VARIABLE_285859 tptp.product_unit) (BOUND_VARIABLE_285860 tptp.set_Product_unit) (BOUND_VARIABLE_285861 tptp.product_unit)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_285859) BOUND_VARIABLE_285860) (ll_2144 BOUND_VARIABLE_285859 BOUND_VARIABLE_285860 BOUND_VARIABLE_285861))))) (let ((_let_17827 (forall ((BOUND_VARIABLE_285853 tptp.set_Product_unit) (BOUND_VARIABLE_285854 tptp.product_unit)) (= BOUND_VARIABLE_285853 (ll_2143 BOUND_VARIABLE_285853 BOUND_VARIABLE_285854))))) (let ((_let_17828 (forall ((BOUND_VARIABLE_285844 tptp.nat) (BOUND_VARIABLE_285845 tptp.set_nat) (BOUND_VARIABLE_285846 tptp.product_unit)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_285844) BOUND_VARIABLE_285845) (ll_2142 BOUND_VARIABLE_285844 BOUND_VARIABLE_285845 BOUND_VARIABLE_285846))))) (let ((_let_17829 (forall ((BOUND_VARIABLE_285835 tptp.nat) (BOUND_VARIABLE_285836 tptp.set_nat) (BOUND_VARIABLE_285837 tptp.product_unit)) (= (@ (@ tptp.insert_nat BOUND_VARIABLE_285835) BOUND_VARIABLE_285836) (ll_2141 BOUND_VARIABLE_285835 BOUND_VARIABLE_285836 BOUND_VARIABLE_285837))))) (let ((_let_17830 (forall ((BOUND_VARIABLE_285829 tptp.set_nat) (BOUND_VARIABLE_285830 tptp.product_unit)) (= BOUND_VARIABLE_285829 (ll_2140 BOUND_VARIABLE_285829 BOUND_VARIABLE_285830))))) (let ((_let_17831 (forall ((BOUND_VARIABLE_285820 Bool) (BOUND_VARIABLE_285821 tptp.set_o) (BOUND_VARIABLE_285822 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_285820) BOUND_VARIABLE_285821) (ll_2139 BOUND_VARIABLE_285820 BOUND_VARIABLE_285821 BOUND_VARIABLE_285822))))) (let ((_let_17832 (forall ((BOUND_VARIABLE_285811 Bool) (BOUND_VARIABLE_285812 tptp.set_o) (BOUND_VARIABLE_285813 tptp.nat)) (= (@ (@ tptp.insert_o BOUND_VARIABLE_285811) BOUND_VARIABLE_285812) (ll_2138 BOUND_VARIABLE_285811 BOUND_VARIABLE_285812 BOUND_VARIABLE_285813))))) (let ((_let_17833 (forall ((BOUND_VARIABLE_285805 tptp.set_o) (BOUND_VARIABLE_285806 tptp.nat)) (= BOUND_VARIABLE_285805 (ll_2137 BOUND_VARIABLE_285805 BOUND_VARIABLE_285806))))) (let ((_let_17834 (forall ((BOUND_VARIABLE_285796 tptp.product_unit) (BOUND_VARIABLE_285797 tptp.set_Product_unit) (BOUND_VARIABLE_285798 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_285796) BOUND_VARIABLE_285797) (ll_2136 BOUND_VARIABLE_285796 BOUND_VARIABLE_285797 BOUND_VARIABLE_285798))))) (let ((_let_17835 (forall ((BOUND_VARIABLE_285787 tptp.product_unit) (BOUND_VARIABLE_285788 tptp.set_Product_unit) (BOUND_VARIABLE_285789 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_285787) BOUND_VARIABLE_285788) (ll_2135 BOUND_VARIABLE_285787 BOUND_VARIABLE_285788 BOUND_VARIABLE_285789))))) (let ((_let_17836 (forall ((BOUND_VARIABLE_285781 tptp.set_Product_unit) (BOUND_VARIABLE_285782 tptp.nat)) (= BOUND_VARIABLE_285781 (ll_2134 BOUND_VARIABLE_285781 BOUND_VARIABLE_285782))))) (let ((_let_17837 (forall ((BOUND_VARIABLE_285764 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_285765 tptp.nat)) (= (ll_2133 BOUND_VARIABLE_285764 BOUND_VARIABLE_285765) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285765)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_285764) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17838 (forall ((BOUND_VARIABLE_285751 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_285752 tptp.set_nat) (BOUND_VARIABLE_285753 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285753)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_285751) BOUND_VARIABLE_285752))) (ll_2132 BOUND_VARIABLE_285751 BOUND_VARIABLE_285752 BOUND_VARIABLE_285753))))) (let ((_let_17839 (forall ((BOUND_VARIABLE_285716 tptp.set_nat) (BOUND_VARIABLE_285717 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_285718 tptp.set_nat) (BOUND_VARIABLE_285719 tptp.nat)) (= (ll_2131 BOUND_VARIABLE_285716 BOUND_VARIABLE_285717 BOUND_VARIABLE_285718 BOUND_VARIABLE_285719) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285719)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3621 BOUND_VARIABLE_285716) BOUND_VARIABLE_285717)) BOUND_VARIABLE_285718))))))) (let ((_let_17840 (forall ((BOUND_VARIABLE_285704 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_285705 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285705)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_285704) tptp.bot_bot_set_o))) (ll_2130 BOUND_VARIABLE_285704 BOUND_VARIABLE_285705))))) (let ((_let_17841 (forall ((BOUND_VARIABLE_285691 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_285692 tptp.set_o) (BOUND_VARIABLE_285693 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285693)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_285691) BOUND_VARIABLE_285692))) (ll_2129 BOUND_VARIABLE_285691 BOUND_VARIABLE_285692 BOUND_VARIABLE_285693))))) (let ((_let_17842 (forall ((BOUND_VARIABLE_285656 tptp.set_nat) (BOUND_VARIABLE_285657 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_285658 tptp.set_o) (BOUND_VARIABLE_285659 tptp.nat)) (= (ll_2128 BOUND_VARIABLE_285656 BOUND_VARIABLE_285657 BOUND_VARIABLE_285658 BOUND_VARIABLE_285659) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285659)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3620 BOUND_VARIABLE_285656) BOUND_VARIABLE_285657)) BOUND_VARIABLE_285658))))))) (let ((_let_17843 (forall ((BOUND_VARIABLE_285639 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_285640 tptp.nat)) (= (ll_2127 BOUND_VARIABLE_285639 BOUND_VARIABLE_285640) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285640)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_285639) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o ll_1334))))))))) (let ((_let_17844 (forall ((BOUND_VARIABLE_285626 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_285627 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_285628 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285628)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_285626) BOUND_VARIABLE_285627))) (ll_2126 BOUND_VARIABLE_285626 BOUND_VARIABLE_285627 BOUND_VARIABLE_285628))))) (let ((_let_17845 (forall ((BOUND_VARIABLE_285591 tptp.set_nat) (BOUND_VARIABLE_285592 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_285593 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_285594 tptp.nat)) (= (ll_2125 BOUND_VARIABLE_285591 BOUND_VARIABLE_285592 BOUND_VARIABLE_285593 BOUND_VARIABLE_285594) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285594)) (@ (@ tptp.image_15824709712370754et_nat (@ (@ ll_3619 BOUND_VARIABLE_285591) BOUND_VARIABLE_285592)) BOUND_VARIABLE_285593))))))) (let ((_let_17846 (forall ((BOUND_VARIABLE_285574 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_285575 tptp.nat)) (= (ll_2124 BOUND_VARIABLE_285574 BOUND_VARIABLE_285575) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285575)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_285574) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o ll_1332))))))))) (let ((_let_17847 (forall ((BOUND_VARIABLE_285561 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_285562 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_285563 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285563)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_285561) BOUND_VARIABLE_285562))) (ll_2123 BOUND_VARIABLE_285561 BOUND_VARIABLE_285562 BOUND_VARIABLE_285563))))) (let ((_let_17848 (forall ((BOUND_VARIABLE_285526 tptp.set_nat) (BOUND_VARIABLE_285527 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_285528 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_285529 tptp.nat)) (= (ll_2122 BOUND_VARIABLE_285526 BOUND_VARIABLE_285527 BOUND_VARIABLE_285528 BOUND_VARIABLE_285529) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285529)) (@ (@ tptp.image_3160451284896210088et_nat (@ (@ ll_3618 BOUND_VARIABLE_285526) BOUND_VARIABLE_285527)) BOUND_VARIABLE_285528))))))) (let ((_let_17849 (forall ((BOUND_VARIABLE_285514 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_285515 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285515)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_285514) tptp.bot_bo3957492148770167129t_unit))) (ll_2121 BOUND_VARIABLE_285514 BOUND_VARIABLE_285515))))) (let ((_let_17850 (forall ((BOUND_VARIABLE_285501 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_285502 tptp.set_Product_unit) (BOUND_VARIABLE_285503 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285503)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_285501) BOUND_VARIABLE_285502))) (ll_2120 BOUND_VARIABLE_285501 BOUND_VARIABLE_285502 BOUND_VARIABLE_285503))))) (let ((_let_17851 (forall ((BOUND_VARIABLE_285467 tptp.set_nat) (BOUND_VARIABLE_285468 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_285469 tptp.set_Product_unit) (BOUND_VARIABLE_285470 tptp.nat)) (= (ll_2119 BOUND_VARIABLE_285467 BOUND_VARIABLE_285468 BOUND_VARIABLE_285469 BOUND_VARIABLE_285470) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285470)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3617 BOUND_VARIABLE_285467) BOUND_VARIABLE_285468)) BOUND_VARIABLE_285469))))))) (let ((_let_17852 (forall ((BOUND_VARIABLE_285455 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_285456 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285456)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_285455) tptp.bot_bo3957492148770167129t_unit))) (ll_2118 BOUND_VARIABLE_285455 BOUND_VARIABLE_285456))))) (let ((_let_17853 (forall ((BOUND_VARIABLE_285442 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_285443 tptp.set_Product_unit) (BOUND_VARIABLE_285444 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285444)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_285442) BOUND_VARIABLE_285443))) (ll_2117 BOUND_VARIABLE_285442 BOUND_VARIABLE_285443 BOUND_VARIABLE_285444))))) (let ((_let_17854 (forall ((BOUND_VARIABLE_285408 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_285409 tptp.set_nat) (BOUND_VARIABLE_285410 tptp.set_Product_unit) (BOUND_VARIABLE_285411 tptp.nat)) (= (ll_2116 BOUND_VARIABLE_285408 BOUND_VARIABLE_285409 BOUND_VARIABLE_285410 BOUND_VARIABLE_285411) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_285411)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3616 BOUND_VARIABLE_285408) BOUND_VARIABLE_285409)) BOUND_VARIABLE_285410))))))) (let ((_let_17855 (forall ((BOUND_VARIABLE_285391 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_285392 tptp.int)) (= (ll_2115 BOUND_VARIABLE_285391 BOUND_VARIABLE_285392) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285392)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_285391) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17856 (forall ((BOUND_VARIABLE_285378 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_285379 tptp.set_nat) (BOUND_VARIABLE_285380 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285380)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_285378) BOUND_VARIABLE_285379))) (ll_2114 BOUND_VARIABLE_285378 BOUND_VARIABLE_285379 BOUND_VARIABLE_285380))))) (let ((_let_17857 (forall ((BOUND_VARIABLE_285344 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_285345 tptp.set_int) (BOUND_VARIABLE_285346 tptp.set_nat) (BOUND_VARIABLE_285347 tptp.int)) (= (ll_2113 BOUND_VARIABLE_285344 BOUND_VARIABLE_285345 BOUND_VARIABLE_285346 BOUND_VARIABLE_285347) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285347)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3615 BOUND_VARIABLE_285344) BOUND_VARIABLE_285345)) BOUND_VARIABLE_285346))))))) (let ((_let_17858 (forall ((BOUND_VARIABLE_285332 (-> Bool tptp.set_int)) (BOUND_VARIABLE_285333 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285333)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_285332) tptp.bot_bot_set_o))) (ll_2112 BOUND_VARIABLE_285332 BOUND_VARIABLE_285333))))) (let ((_let_17859 (forall ((BOUND_VARIABLE_285319 (-> Bool tptp.set_int)) (BOUND_VARIABLE_285320 tptp.set_o) (BOUND_VARIABLE_285321 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285321)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_285319) BOUND_VARIABLE_285320))) (ll_2111 BOUND_VARIABLE_285319 BOUND_VARIABLE_285320 BOUND_VARIABLE_285321))))) (let ((_let_17860 (forall ((BOUND_VARIABLE_285285 (-> Bool tptp.set_int)) (BOUND_VARIABLE_285286 tptp.set_int) (BOUND_VARIABLE_285287 tptp.set_o) (BOUND_VARIABLE_285288 tptp.int)) (= (ll_2110 BOUND_VARIABLE_285285 BOUND_VARIABLE_285286 BOUND_VARIABLE_285287 BOUND_VARIABLE_285288) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285288)) (@ (@ tptp.image_o_set_int (@ (@ ll_3614 BOUND_VARIABLE_285285) BOUND_VARIABLE_285286)) BOUND_VARIABLE_285287))))))) (let ((_let_17861 (forall ((BOUND_VARIABLE_285273 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_285274 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285274)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_285273) tptp.bot_bo3957492148770167129t_unit))) (ll_2109 BOUND_VARIABLE_285273 BOUND_VARIABLE_285274))))) (let ((_let_17862 (forall ((BOUND_VARIABLE_285260 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_285261 tptp.set_Product_unit) (BOUND_VARIABLE_285262 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285262)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_285260) BOUND_VARIABLE_285261))) (ll_2108 BOUND_VARIABLE_285260 BOUND_VARIABLE_285261 BOUND_VARIABLE_285262))))) (let ((_let_17863 (forall ((BOUND_VARIABLE_285226 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_285227 tptp.set_int) (BOUND_VARIABLE_285228 tptp.set_Product_unit) (BOUND_VARIABLE_285229 tptp.int)) (= (ll_2107 BOUND_VARIABLE_285226 BOUND_VARIABLE_285227 BOUND_VARIABLE_285228 BOUND_VARIABLE_285229) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_285229)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3613 BOUND_VARIABLE_285226) BOUND_VARIABLE_285227)) BOUND_VARIABLE_285228))))))) (let ((_let_17864 (forall ((BOUND_VARIABLE_285216 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_285217 tptp.set_rat) (BOUND_VARIABLE_285218 tptp.nat)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_285216 BOUND_VARIABLE_285218)) BOUND_VARIABLE_285217) (ll_2106 BOUND_VARIABLE_285216 BOUND_VARIABLE_285217 BOUND_VARIABLE_285218))))) (let ((_let_17865 (forall ((BOUND_VARIABLE_285206 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_285207 tptp.set_rat) (BOUND_VARIABLE_285208 Bool)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_285206 BOUND_VARIABLE_285208)) BOUND_VARIABLE_285207) (ll_2105 BOUND_VARIABLE_285206 BOUND_VARIABLE_285207 BOUND_VARIABLE_285208))))) (let ((_let_17866 (forall ((BOUND_VARIABLE_285196 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_285197 tptp.set_rat) (BOUND_VARIABLE_285198 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_285196 BOUND_VARIABLE_285198)) BOUND_VARIABLE_285197) (ll_2104 BOUND_VARIABLE_285196 BOUND_VARIABLE_285197 BOUND_VARIABLE_285198))))) (let ((_let_17867 (forall ((BOUND_VARIABLE_285186 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_285187 tptp.set_char) (BOUND_VARIABLE_285188 tptp.nat)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_285186 BOUND_VARIABLE_285188)) BOUND_VARIABLE_285187) (ll_2103 BOUND_VARIABLE_285186 BOUND_VARIABLE_285187 BOUND_VARIABLE_285188))))) (let ((_let_17868 (forall ((BOUND_VARIABLE_285176 (-> Bool tptp.set_char)) (BOUND_VARIABLE_285177 tptp.set_char) (BOUND_VARIABLE_285178 Bool)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_285176 BOUND_VARIABLE_285178)) BOUND_VARIABLE_285177) (ll_2102 BOUND_VARIABLE_285176 BOUND_VARIABLE_285177 BOUND_VARIABLE_285178))))) (let ((_let_17869 (forall ((BOUND_VARIABLE_285166 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_285167 tptp.set_char) (BOUND_VARIABLE_285168 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_285166 BOUND_VARIABLE_285168)) BOUND_VARIABLE_285167) (ll_2101 BOUND_VARIABLE_285166 BOUND_VARIABLE_285167 BOUND_VARIABLE_285168))))) (let ((_let_17870 (forall ((BOUND_VARIABLE_285139 tptp.set_set_nat) (BOUND_VARIABLE_285140 tptp.nat)) (= (ll_2100 BOUND_VARIABLE_285139 BOUND_VARIABLE_285140) (@ (@ tptp.member_nat BOUND_VARIABLE_285140) (@ tptp.collect_nat (@ ll_3612 BOUND_VARIABLE_285139))))))) (let ((_let_17871 (forall ((BOUND_VARIABLE_285116 tptp.set_set_nat) (BOUND_VARIABLE_285117 tptp.nat)) (= (ll_2099 BOUND_VARIABLE_285116 BOUND_VARIABLE_285117) (@ (@ tptp.member_nat BOUND_VARIABLE_285117) (@ tptp.collect_nat (@ ll_3611 BOUND_VARIABLE_285116))))))) (let ((_let_17872 (forall ((BOUND_VARIABLE_285089 tptp.set_set_int) (BOUND_VARIABLE_285090 tptp.int)) (= (ll_2098 BOUND_VARIABLE_285089 BOUND_VARIABLE_285090) (@ (@ tptp.member_int BOUND_VARIABLE_285090) (@ tptp.collect_int (@ ll_3610 BOUND_VARIABLE_285089))))))) (let ((_let_17873 (forall ((BOUND_VARIABLE_285066 tptp.set_set_int) (BOUND_VARIABLE_285067 tptp.int)) (= (ll_2097 BOUND_VARIABLE_285066 BOUND_VARIABLE_285067) (@ (@ tptp.member_int BOUND_VARIABLE_285067) (@ tptp.collect_int (@ ll_3609 BOUND_VARIABLE_285066))))))) (let ((_let_17874 (forall ((BOUND_VARIABLE_285039 tptp.set_set_o) (BOUND_VARIABLE_285040 Bool)) (= (ll_2096 BOUND_VARIABLE_285039 BOUND_VARIABLE_285040) (@ (@ tptp.member_o BOUND_VARIABLE_285040) (@ tptp.collect_o (@ ll_3608 BOUND_VARIABLE_285039))))))) (let ((_let_17875 (forall ((BOUND_VARIABLE_285016 tptp.set_set_o) (BOUND_VARIABLE_285017 Bool)) (= (ll_2095 BOUND_VARIABLE_285016 BOUND_VARIABLE_285017) (@ (@ tptp.member_o BOUND_VARIABLE_285017) (@ tptp.collect_o (@ ll_3607 BOUND_VARIABLE_285016))))))) (let ((_let_17876 (forall ((BOUND_VARIABLE_284989 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284990 tptp.product_prod_nat_nat)) (= (ll_2094 BOUND_VARIABLE_284989 BOUND_VARIABLE_284990) (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284990) (@ tptp.collec3392354462482085612at_nat (@ ll_3606 BOUND_VARIABLE_284989))))))) (let ((_let_17877 (forall ((BOUND_VARIABLE_284966 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284967 tptp.product_prod_nat_nat)) (= (ll_2093 BOUND_VARIABLE_284966 BOUND_VARIABLE_284967) (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284967) (@ tptp.collec3392354462482085612at_nat (@ ll_3605 BOUND_VARIABLE_284966))))))) (let ((_let_17878 (forall ((BOUND_VARIABLE_284939 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284940 tptp.produc3843707927480180839at_nat)) (= (ll_2092 BOUND_VARIABLE_284939 BOUND_VARIABLE_284940) (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_284940) (@ tptp.collec6321179662152712658at_nat (@ ll_3604 BOUND_VARIABLE_284939))))))) (let ((_let_17879 (forall ((BOUND_VARIABLE_284916 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284917 tptp.produc3843707927480180839at_nat)) (= (ll_2091 BOUND_VARIABLE_284916 BOUND_VARIABLE_284917) (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_284917) (@ tptp.collec6321179662152712658at_nat (@ ll_3603 BOUND_VARIABLE_284916))))))) (let ((_let_17880 (forall ((BOUND_VARIABLE_284889 tptp.set_set_nat) (BOUND_VARIABLE_284890 tptp.nat)) (= (ll_2090 BOUND_VARIABLE_284889 BOUND_VARIABLE_284890) (@ (@ tptp.member_nat BOUND_VARIABLE_284890) (@ tptp.collect_nat (@ ll_3602 BOUND_VARIABLE_284889))))))) (let ((_let_17881 (forall ((BOUND_VARIABLE_284866 tptp.set_set_nat) (BOUND_VARIABLE_284867 tptp.nat)) (= (ll_2089 BOUND_VARIABLE_284866 BOUND_VARIABLE_284867) (@ (@ tptp.member_nat BOUND_VARIABLE_284867) (@ tptp.collect_nat (@ ll_3601 BOUND_VARIABLE_284866))))))) (let ((_let_17882 (forall ((BOUND_VARIABLE_284839 tptp.set_set_int) (BOUND_VARIABLE_284840 tptp.int)) (= (ll_2088 BOUND_VARIABLE_284839 BOUND_VARIABLE_284840) (@ (@ tptp.member_int BOUND_VARIABLE_284840) (@ tptp.collect_int (@ ll_3600 BOUND_VARIABLE_284839))))))) (let ((_let_17883 (forall ((BOUND_VARIABLE_284816 tptp.set_set_int) (BOUND_VARIABLE_284817 tptp.int)) (= (ll_2087 BOUND_VARIABLE_284816 BOUND_VARIABLE_284817) (@ (@ tptp.member_int BOUND_VARIABLE_284817) (@ tptp.collect_int (@ ll_3599 BOUND_VARIABLE_284816))))))) (let ((_let_17884 (forall ((BOUND_VARIABLE_284789 tptp.set_set_o) (BOUND_VARIABLE_284790 Bool)) (= (ll_2086 BOUND_VARIABLE_284789 BOUND_VARIABLE_284790) (@ (@ tptp.member_o BOUND_VARIABLE_284790) (@ tptp.collect_o (@ ll_3598 BOUND_VARIABLE_284789))))))) (let ((_let_17885 (forall ((BOUND_VARIABLE_284766 tptp.set_set_o) (BOUND_VARIABLE_284767 Bool)) (= (ll_2085 BOUND_VARIABLE_284766 BOUND_VARIABLE_284767) (@ (@ tptp.member_o BOUND_VARIABLE_284767) (@ tptp.collect_o (@ ll_3597 BOUND_VARIABLE_284766))))))) (let ((_let_17886 (forall ((BOUND_VARIABLE_284739 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284740 tptp.product_prod_nat_nat)) (= (ll_2084 BOUND_VARIABLE_284739 BOUND_VARIABLE_284740) (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284740) (@ tptp.collec3392354462482085612at_nat (@ ll_3596 BOUND_VARIABLE_284739))))))) (let ((_let_17887 (forall ((BOUND_VARIABLE_284716 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284717 tptp.product_prod_nat_nat)) (= (ll_2083 BOUND_VARIABLE_284716 BOUND_VARIABLE_284717) (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284717) (@ tptp.collec3392354462482085612at_nat (@ ll_3595 BOUND_VARIABLE_284716))))))) (let ((_let_17888 (forall ((BOUND_VARIABLE_284689 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284690 tptp.produc3843707927480180839at_nat)) (= (ll_2082 BOUND_VARIABLE_284689 BOUND_VARIABLE_284690) (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_284690) (@ tptp.collec6321179662152712658at_nat (@ ll_3594 BOUND_VARIABLE_284689))))))) (let ((_let_17889 (forall ((BOUND_VARIABLE_284666 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284667 tptp.produc3843707927480180839at_nat)) (= (ll_2081 BOUND_VARIABLE_284666 BOUND_VARIABLE_284667) (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_284667) (@ tptp.collec6321179662152712658at_nat (@ ll_3593 BOUND_VARIABLE_284666))))))) (let ((_let_17890 (forall ((BOUND_VARIABLE_284634 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284635 tptp.int) (BOUND_VARIABLE_284636 tptp.int)) (= (ll_2080 BOUND_VARIABLE_284634 BOUND_VARIABLE_284635 BOUND_VARIABLE_284636) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_284635) BOUND_VARIABLE_284636)) (@ tptp.collec213857154873943460nt_int (@ ll_3592 BOUND_VARIABLE_284634))))))) (let ((_let_17891 (forall ((BOUND_VARIABLE_284608 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284609 tptp.int) (BOUND_VARIABLE_284610 tptp.int)) (= (ll_2079 BOUND_VARIABLE_284608 BOUND_VARIABLE_284609 BOUND_VARIABLE_284610) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_284609) BOUND_VARIABLE_284610)) (@ tptp.collec213857154873943460nt_int (@ ll_3591 BOUND_VARIABLE_284608))))))) (let ((_let_17892 (forall ((BOUND_VARIABLE_284576 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284577 tptp.nat) (BOUND_VARIABLE_284578 tptp.nat)) (= (ll_2078 BOUND_VARIABLE_284576 BOUND_VARIABLE_284577 BOUND_VARIABLE_284578) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_284577) BOUND_VARIABLE_284578)) (@ tptp.collec3392354462482085612at_nat (@ ll_3590 BOUND_VARIABLE_284576))))))) (let ((_let_17893 (forall ((BOUND_VARIABLE_284550 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284551 tptp.nat) (BOUND_VARIABLE_284552 tptp.nat)) (= (ll_2077 BOUND_VARIABLE_284550 BOUND_VARIABLE_284551 BOUND_VARIABLE_284552) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_284551) BOUND_VARIABLE_284552)) (@ tptp.collec3392354462482085612at_nat (@ ll_3589 BOUND_VARIABLE_284550))))))) (let ((_let_17894 (forall ((BOUND_VARIABLE_284538 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284539 tptp.nat) (BOUND_VARIABLE_284540 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_284539) BOUND_VARIABLE_284540)) (@ tptp.comple1400524285282149784at_num BOUND_VARIABLE_284538)) (ll_2076 BOUND_VARIABLE_284538 BOUND_VARIABLE_284539 BOUND_VARIABLE_284540))))) (let ((_let_17895 (forall ((BOUND_VARIABLE_284514 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284515 tptp.nat) (BOUND_VARIABLE_284516 tptp.num)) (= (ll_2075 BOUND_VARIABLE_284514 BOUND_VARIABLE_284515 BOUND_VARIABLE_284516) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_284515) BOUND_VARIABLE_284516)) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_6580737572886966642at_num tptp.collec4100598399430923318at_num) (@ (@ tptp.image_8484515203959327177_num_o tptp.produc4927758841916487424_num_o) (@ (@ tptp.image_2055017250723459638_num_o ll_3588) BOUND_VARIABLE_284514))))))))) (let ((_let_17896 (forall ((BOUND_VARIABLE_284482 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284483 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284484 tptp.set_Pr1261947904930325089at_nat)) (= (ll_2074 BOUND_VARIABLE_284482 BOUND_VARIABLE_284483 BOUND_VARIABLE_284484) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_284483) BOUND_VARIABLE_284484)) (@ tptp.collec6321179662152712658at_nat (@ ll_3587 BOUND_VARIABLE_284482))))))) (let ((_let_17897 (forall ((BOUND_VARIABLE_284456 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284457 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284458 tptp.set_Pr1261947904930325089at_nat)) (= (ll_2073 BOUND_VARIABLE_284456 BOUND_VARIABLE_284457 BOUND_VARIABLE_284458) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_284457) BOUND_VARIABLE_284458)) (@ tptp.collec6321179662152712658at_nat (@ ll_3586 BOUND_VARIABLE_284456))))))) (let ((_let_17898 (forall ((BOUND_VARIABLE_284444 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284445 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284446 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_284445) BOUND_VARIABLE_284446)) (@ tptp.comple7342073961973170484at_nat BOUND_VARIABLE_284444)) (ll_2072 BOUND_VARIABLE_284444 BOUND_VARIABLE_284445 BOUND_VARIABLE_284446))))) (let ((_let_17899 (forall ((BOUND_VARIABLE_284420 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284421 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284422 tptp.set_Pr4329608150637261639at_nat)) (= (ll_2071 BOUND_VARIABLE_284420 BOUND_VARIABLE_284421 BOUND_VARIABLE_284422) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_284421) BOUND_VARIABLE_284422)) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_5694205205332509994at_nat tptp.collec7872792499061297490at_nat) (@ (@ tptp.image_5235725667318448191_nat_o tptp.produc9020218426428501292_nat_o) (@ (@ tptp.image_5337237954834410540_nat_o ll_3585) BOUND_VARIABLE_284420))))))))) (let ((_let_17900 (forall ((BOUND_VARIABLE_284388 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284389 tptp.int) (BOUND_VARIABLE_284390 tptp.int)) (= (ll_2070 BOUND_VARIABLE_284388 BOUND_VARIABLE_284389 BOUND_VARIABLE_284390) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_284389) BOUND_VARIABLE_284390)) (@ tptp.collec213857154873943460nt_int (@ ll_3584 BOUND_VARIABLE_284388))))))) (let ((_let_17901 (forall ((BOUND_VARIABLE_284361 tptp.set_se6260736226359567993nt_int) (BOUND_VARIABLE_284362 tptp.int) (BOUND_VARIABLE_284363 tptp.int)) (= (ll_2069 BOUND_VARIABLE_284361 BOUND_VARIABLE_284362 BOUND_VARIABLE_284363) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_284362) BOUND_VARIABLE_284363)) (@ tptp.collec213857154873943460nt_int (@ ll_3583 BOUND_VARIABLE_284361))))))) (let ((_let_17902 (forall ((BOUND_VARIABLE_284329 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284330 tptp.nat) (BOUND_VARIABLE_284331 tptp.nat)) (= (ll_2068 BOUND_VARIABLE_284329 BOUND_VARIABLE_284330 BOUND_VARIABLE_284331) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_284330) BOUND_VARIABLE_284331)) (@ tptp.collec3392354462482085612at_nat (@ ll_3582 BOUND_VARIABLE_284329))))))) (let ((_let_17903 (forall ((BOUND_VARIABLE_284303 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_284304 tptp.nat) (BOUND_VARIABLE_284305 tptp.nat)) (= (ll_2067 BOUND_VARIABLE_284303 BOUND_VARIABLE_284304 BOUND_VARIABLE_284305) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_284304) BOUND_VARIABLE_284305)) (@ tptp.collec3392354462482085612at_nat (@ ll_3581 BOUND_VARIABLE_284303))))))) (let ((_let_17904 (forall ((BOUND_VARIABLE_284291 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284292 tptp.nat) (BOUND_VARIABLE_284293 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_284292) BOUND_VARIABLE_284293)) (@ tptp.comple6868718957223342258at_num BOUND_VARIABLE_284291)) (ll_2066 BOUND_VARIABLE_284291 BOUND_VARIABLE_284292 BOUND_VARIABLE_284293))))) (let ((_let_17905 (forall ((BOUND_VARIABLE_284267 tptp.set_se4826145725398303499at_num) (BOUND_VARIABLE_284268 tptp.nat) (BOUND_VARIABLE_284269 tptp.num)) (= (ll_2065 BOUND_VARIABLE_284267 BOUND_VARIABLE_284268 BOUND_VARIABLE_284269) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_284268) BOUND_VARIABLE_284269)) (@ tptp.comple6868718957223342258at_num (@ (@ tptp.image_6580737572886966642at_num tptp.collec4100598399430923318at_num) (@ (@ tptp.image_8484515203959327177_num_o tptp.produc4927758841916487424_num_o) (@ (@ tptp.image_2055017250723459638_num_o ll_3580) BOUND_VARIABLE_284267))))))))) (let ((_let_17906 (forall ((BOUND_VARIABLE_284235 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284236 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284237 tptp.set_Pr1261947904930325089at_nat)) (= (ll_2064 BOUND_VARIABLE_284235 BOUND_VARIABLE_284236 BOUND_VARIABLE_284237) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_284236) BOUND_VARIABLE_284237)) (@ tptp.collec6321179662152712658at_nat (@ ll_3579 BOUND_VARIABLE_284235))))))) (let ((_let_17907 (forall ((BOUND_VARIABLE_284209 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_284210 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_284211 tptp.set_Pr1261947904930325089at_nat)) (= (ll_2063 BOUND_VARIABLE_284209 BOUND_VARIABLE_284210 BOUND_VARIABLE_284211) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_284210) BOUND_VARIABLE_284211)) (@ tptp.collec6321179662152712658at_nat (@ ll_3578 BOUND_VARIABLE_284209))))))) (let ((_let_17908 (forall ((BOUND_VARIABLE_284197 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284198 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284199 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_284198) BOUND_VARIABLE_284199)) (@ tptp.comple4403251139954110286at_nat BOUND_VARIABLE_284197)) (ll_2062 BOUND_VARIABLE_284197 BOUND_VARIABLE_284198 BOUND_VARIABLE_284199))))) (let ((_let_17909 (forall ((BOUND_VARIABLE_284173 tptp.set_se7592288975875140775at_nat) (BOUND_VARIABLE_284174 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_284175 tptp.set_Pr4329608150637261639at_nat)) (= (ll_2061 BOUND_VARIABLE_284173 BOUND_VARIABLE_284174 BOUND_VARIABLE_284175) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_284174) BOUND_VARIABLE_284175)) (@ tptp.comple4403251139954110286at_nat (@ (@ tptp.image_5694205205332509994at_nat tptp.collec7872792499061297490at_nat) (@ (@ tptp.image_5235725667318448191_nat_o tptp.produc9020218426428501292_nat_o) (@ (@ tptp.image_5337237954834410540_nat_o ll_3577) BOUND_VARIABLE_284173))))))))) (let ((_let_17910 (forall ((BOUND_VARIABLE_284126 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_284127 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_284128 tptp.set_nat) (BOUND_VARIABLE_284129 tptp.product_prod_nat_nat)) (= (ll_2060 BOUND_VARIABLE_284126 BOUND_VARIABLE_284127 BOUND_VARIABLE_284128 BOUND_VARIABLE_284129) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284129)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3576 BOUND_VARIABLE_284126) BOUND_VARIABLE_284127)) BOUND_VARIABLE_284128))))))) (let ((_let_17911 (forall ((BOUND_VARIABLE_284089 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_284090 tptp.set_nat) (BOUND_VARIABLE_284091 tptp.product_prod_nat_nat)) (= (ll_2059 BOUND_VARIABLE_284089 BOUND_VARIABLE_284090 BOUND_VARIABLE_284091) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284091)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3575 BOUND_VARIABLE_284089)) BOUND_VARIABLE_284090))))))) (let ((_let_17912 (forall ((BOUND_VARIABLE_284052 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_284053 tptp.set_nat) (BOUND_VARIABLE_284054 tptp.product_prod_nat_nat)) (= (ll_2058 BOUND_VARIABLE_284052 BOUND_VARIABLE_284053 BOUND_VARIABLE_284054) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284054)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3574 BOUND_VARIABLE_284052)) BOUND_VARIABLE_284053))))))) (let ((_let_17913 (forall ((BOUND_VARIABLE_284014 tptp.set_nat) (BOUND_VARIABLE_284015 tptp.set_nat) (BOUND_VARIABLE_284016 tptp.set_nat) (BOUND_VARIABLE_284017 tptp.product_prod_nat_nat)) (= (ll_2057 BOUND_VARIABLE_284014 BOUND_VARIABLE_284015 BOUND_VARIABLE_284016 BOUND_VARIABLE_284017) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_284017)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3573 BOUND_VARIABLE_284014)) (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_284015) BOUND_VARIABLE_284016)))))))) (let ((_let_17914 (forall ((BOUND_VARIABLE_283979 tptp.set_nat) (BOUND_VARIABLE_283980 tptp.set_nat) (BOUND_VARIABLE_283981 tptp.product_prod_nat_nat)) (= (ll_2056 BOUND_VARIABLE_283979 BOUND_VARIABLE_283980 BOUND_VARIABLE_283981) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_283981)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3572 BOUND_VARIABLE_283979)) BOUND_VARIABLE_283980))))))) (let ((_let_17915 (forall ((BOUND_VARIABLE_283944 tptp.set_nat) (BOUND_VARIABLE_283945 tptp.set_nat) (BOUND_VARIABLE_283946 tptp.product_prod_nat_nat)) (= (ll_2055 BOUND_VARIABLE_283944 BOUND_VARIABLE_283945 BOUND_VARIABLE_283946) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_283946)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3571 BOUND_VARIABLE_283944)) BOUND_VARIABLE_283945))))))) (let ((_let_17916 (forall ((BOUND_VARIABLE_283936 tptp.code_integer) (BOUND_VARIABLE_283937 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_283937) BOUND_VARIABLE_283936) (ll_2054 BOUND_VARIABLE_283936 BOUND_VARIABLE_283937))))) (let ((_let_17917 (forall ((BOUND_VARIABLE_283928 tptp.code_integer) (BOUND_VARIABLE_283929 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_283929) BOUND_VARIABLE_283928) (ll_2053 BOUND_VARIABLE_283928 BOUND_VARIABLE_283929))))) (let ((_let_17918 (forall ((BOUND_VARIABLE_283920 tptp.code_integer) (BOUND_VARIABLE_283921 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_283921) BOUND_VARIABLE_283920) (ll_2052 BOUND_VARIABLE_283920 BOUND_VARIABLE_283921))))) (let ((_let_17919 (forall ((BOUND_VARIABLE_283912 tptp.rat) (BOUND_VARIABLE_283913 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_283913) BOUND_VARIABLE_283912) (ll_2051 BOUND_VARIABLE_283912 BOUND_VARIABLE_283913))))) (let ((_let_17920 (forall ((BOUND_VARIABLE_283904 tptp.rat) (BOUND_VARIABLE_283905 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_283905) BOUND_VARIABLE_283904) (ll_2050 BOUND_VARIABLE_283904 BOUND_VARIABLE_283905))))) (let ((_let_17921 (forall ((BOUND_VARIABLE_283896 tptp.rat) (BOUND_VARIABLE_283897 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_283897) BOUND_VARIABLE_283896) (ll_2049 BOUND_VARIABLE_283896 BOUND_VARIABLE_283897))))) (let ((_let_17922 (forall ((BOUND_VARIABLE_283884 tptp.int) (BOUND_VARIABLE_283885 tptp.int)) (= (ll_2048 BOUND_VARIABLE_283884 BOUND_VARIABLE_283885) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_283885) BOUND_VARIABLE_283884))))) (let ((_let_17923 (forall ((BOUND_VARIABLE_283872 tptp.int) (BOUND_VARIABLE_283873 tptp.int)) (= (ll_2047 BOUND_VARIABLE_283872 BOUND_VARIABLE_283873) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_283873) BOUND_VARIABLE_283872))))) (let ((_let_17924 (forall ((BOUND_VARIABLE_283860 tptp.int) (BOUND_VARIABLE_283861 tptp.int)) (= (ll_2046 BOUND_VARIABLE_283860 BOUND_VARIABLE_283861) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_283861) BOUND_VARIABLE_283860))))) (let ((_let_17925 (forall ((BOUND_VARIABLE_283820 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_283821 tptp.set_nat) (BOUND_VARIABLE_283822 tptp.set_nat) (BOUND_VARIABLE_283823 tptp.product_prod_nat_nat)) (= (ll_2045 BOUND_VARIABLE_283820 BOUND_VARIABLE_283821 BOUND_VARIABLE_283822 BOUND_VARIABLE_283823) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_283823)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3570 BOUND_VARIABLE_283820)) (@ (@ tptp.minus_minus_set_nat BOUND_VARIABLE_283821) BOUND_VARIABLE_283822)))))))) (let ((_let_17926 (forall ((BOUND_VARIABLE_283783 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_283784 tptp.set_nat) (BOUND_VARIABLE_283785 tptp.product_prod_nat_nat)) (= (ll_2044 BOUND_VARIABLE_283783 BOUND_VARIABLE_283784 BOUND_VARIABLE_283785) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_283785)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3569 BOUND_VARIABLE_283783)) BOUND_VARIABLE_283784))))))) (let ((_let_17927 (forall ((BOUND_VARIABLE_283746 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_283747 tptp.set_nat) (BOUND_VARIABLE_283748 tptp.product_prod_nat_nat)) (= (ll_2043 BOUND_VARIABLE_283746 BOUND_VARIABLE_283747 BOUND_VARIABLE_283748) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_283748)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3568 BOUND_VARIABLE_283746)) BOUND_VARIABLE_283747))))))) (let ((_let_17928 (forall ((BOUND_VARIABLE_283713 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_283714 tptp.set_nat) (BOUND_VARIABLE_283715 tptp.nat)) (= (ll_2042 BOUND_VARIABLE_283713 BOUND_VARIABLE_283714 BOUND_VARIABLE_283715) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_283715)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3567 BOUND_VARIABLE_283713) BOUND_VARIABLE_283714)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17929 (forall ((BOUND_VARIABLE_283678 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_283679 tptp.set_nat) (BOUND_VARIABLE_283680 tptp.set_Product_unit) (BOUND_VARIABLE_283681 tptp.nat)) (= (ll_2041 BOUND_VARIABLE_283678 BOUND_VARIABLE_283679 BOUND_VARIABLE_283680 BOUND_VARIABLE_283681) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_283681)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3566 BOUND_VARIABLE_283678) BOUND_VARIABLE_283679)) BOUND_VARIABLE_283680))))))) (let ((_let_17930 (forall ((BOUND_VARIABLE_283665 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_283666 tptp.set_Product_unit) (BOUND_VARIABLE_283667 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_283667)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_283665) BOUND_VARIABLE_283666))) (ll_2040 BOUND_VARIABLE_283665 BOUND_VARIABLE_283666 BOUND_VARIABLE_283667))))) (let ((_let_17931 (forall ((BOUND_VARIABLE_283632 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_283633 tptp.set_int) (BOUND_VARIABLE_283634 tptp.int)) (= (ll_2039 BOUND_VARIABLE_283632 BOUND_VARIABLE_283633 BOUND_VARIABLE_283634) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283634)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3565 BOUND_VARIABLE_283632) BOUND_VARIABLE_283633)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17932 (forall ((BOUND_VARIABLE_283597 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_283598 tptp.set_int) (BOUND_VARIABLE_283599 tptp.set_nat) (BOUND_VARIABLE_283600 tptp.int)) (= (ll_2038 BOUND_VARIABLE_283597 BOUND_VARIABLE_283598 BOUND_VARIABLE_283599 BOUND_VARIABLE_283600) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283600)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3564 BOUND_VARIABLE_283597) BOUND_VARIABLE_283598)) BOUND_VARIABLE_283599))))))) (let ((_let_17933 (forall ((BOUND_VARIABLE_283584 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_283585 tptp.set_nat) (BOUND_VARIABLE_283586 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283586)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_283584) BOUND_VARIABLE_283585))) (ll_2037 BOUND_VARIABLE_283584 BOUND_VARIABLE_283585 BOUND_VARIABLE_283586))))) (let ((_let_17934 (forall ((BOUND_VARIABLE_283551 (-> Bool tptp.set_int)) (BOUND_VARIABLE_283552 tptp.set_int) (BOUND_VARIABLE_283553 tptp.int)) (= (ll_2036 BOUND_VARIABLE_283551 BOUND_VARIABLE_283552 BOUND_VARIABLE_283553) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283553)) (@ (@ tptp.image_o_set_int (@ (@ ll_3563 BOUND_VARIABLE_283551) BOUND_VARIABLE_283552)) tptp.bot_bot_set_o))))))) (let ((_let_17935 (forall ((BOUND_VARIABLE_283516 (-> Bool tptp.set_int)) (BOUND_VARIABLE_283517 tptp.set_int) (BOUND_VARIABLE_283518 tptp.set_o) (BOUND_VARIABLE_283519 tptp.int)) (= (ll_2035 BOUND_VARIABLE_283516 BOUND_VARIABLE_283517 BOUND_VARIABLE_283518 BOUND_VARIABLE_283519) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283519)) (@ (@ tptp.image_o_set_int (@ (@ ll_3562 BOUND_VARIABLE_283516) BOUND_VARIABLE_283517)) BOUND_VARIABLE_283518))))))) (let ((_let_17936 (forall ((BOUND_VARIABLE_283503 (-> Bool tptp.set_int)) (BOUND_VARIABLE_283504 tptp.set_o) (BOUND_VARIABLE_283505 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283505)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_283503) BOUND_VARIABLE_283504))) (ll_2034 BOUND_VARIABLE_283503 BOUND_VARIABLE_283504 BOUND_VARIABLE_283505))))) (let ((_let_17937 (forall ((BOUND_VARIABLE_283470 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_283471 tptp.set_int) (BOUND_VARIABLE_283472 tptp.int)) (= (ll_2033 BOUND_VARIABLE_283470 BOUND_VARIABLE_283471 BOUND_VARIABLE_283472) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283472)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3561 BOUND_VARIABLE_283470) BOUND_VARIABLE_283471)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17938 (forall ((BOUND_VARIABLE_283435 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_283436 tptp.set_int) (BOUND_VARIABLE_283437 tptp.set_Product_unit) (BOUND_VARIABLE_283438 tptp.int)) (= (ll_2032 BOUND_VARIABLE_283435 BOUND_VARIABLE_283436 BOUND_VARIABLE_283437 BOUND_VARIABLE_283438) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283438)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3560 BOUND_VARIABLE_283435) BOUND_VARIABLE_283436)) BOUND_VARIABLE_283437))))))) (let ((_let_17939 (forall ((BOUND_VARIABLE_283422 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_283423 tptp.set_Product_unit) (BOUND_VARIABLE_283424 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283424)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_283422) BOUND_VARIABLE_283423))) (ll_2031 BOUND_VARIABLE_283422 BOUND_VARIABLE_283423 BOUND_VARIABLE_283424))))) (let ((_let_17940 (forall ((BOUND_VARIABLE_283412 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_283413 tptp.set_rat) (BOUND_VARIABLE_283414 tptp.nat)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_283412 BOUND_VARIABLE_283414)) BOUND_VARIABLE_283413) (ll_2030 BOUND_VARIABLE_283412 BOUND_VARIABLE_283413 BOUND_VARIABLE_283414))))) (let ((_let_17941 (forall ((BOUND_VARIABLE_283402 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_283403 tptp.set_rat) (BOUND_VARIABLE_283404 tptp.nat)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_283402 BOUND_VARIABLE_283404)) BOUND_VARIABLE_283403) (ll_2029 BOUND_VARIABLE_283402 BOUND_VARIABLE_283403 BOUND_VARIABLE_283404))))) (let ((_let_17942 (forall ((BOUND_VARIABLE_283392 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_283393 tptp.set_rat) (BOUND_VARIABLE_283394 Bool)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_283392 BOUND_VARIABLE_283394)) BOUND_VARIABLE_283393) (ll_2028 BOUND_VARIABLE_283392 BOUND_VARIABLE_283393 BOUND_VARIABLE_283394))))) (let ((_let_17943 (forall ((BOUND_VARIABLE_283382 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_283383 tptp.set_rat) (BOUND_VARIABLE_283384 Bool)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_283382 BOUND_VARIABLE_283384)) BOUND_VARIABLE_283383) (ll_2027 BOUND_VARIABLE_283382 BOUND_VARIABLE_283383 BOUND_VARIABLE_283384))))) (let ((_let_17944 (forall ((BOUND_VARIABLE_283372 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_283373 tptp.set_rat) (BOUND_VARIABLE_283374 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_283372 BOUND_VARIABLE_283374)) BOUND_VARIABLE_283373) (ll_2026 BOUND_VARIABLE_283372 BOUND_VARIABLE_283373 BOUND_VARIABLE_283374))))) (let ((_let_17945 (forall ((BOUND_VARIABLE_283362 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_283363 tptp.set_rat) (BOUND_VARIABLE_283364 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_rat (@ BOUND_VARIABLE_283362 BOUND_VARIABLE_283364)) BOUND_VARIABLE_283363) (ll_2025 BOUND_VARIABLE_283362 BOUND_VARIABLE_283363 BOUND_VARIABLE_283364))))) (let ((_let_17946 (forall ((BOUND_VARIABLE_283352 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_283353 tptp.set_char) (BOUND_VARIABLE_283354 tptp.nat)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_283352 BOUND_VARIABLE_283354)) BOUND_VARIABLE_283353) (ll_2024 BOUND_VARIABLE_283352 BOUND_VARIABLE_283353 BOUND_VARIABLE_283354))))) (let ((_let_17947 (forall ((BOUND_VARIABLE_283342 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_283343 tptp.set_char) (BOUND_VARIABLE_283344 tptp.nat)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_283342 BOUND_VARIABLE_283344)) BOUND_VARIABLE_283343) (ll_2023 BOUND_VARIABLE_283342 BOUND_VARIABLE_283343 BOUND_VARIABLE_283344))))) (let ((_let_17948 (forall ((BOUND_VARIABLE_283332 (-> Bool tptp.set_char)) (BOUND_VARIABLE_283333 tptp.set_char) (BOUND_VARIABLE_283334 Bool)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_283332 BOUND_VARIABLE_283334)) BOUND_VARIABLE_283333) (ll_2022 BOUND_VARIABLE_283332 BOUND_VARIABLE_283333 BOUND_VARIABLE_283334))))) (let ((_let_17949 (forall ((BOUND_VARIABLE_283322 (-> Bool tptp.set_char)) (BOUND_VARIABLE_283323 tptp.set_char) (BOUND_VARIABLE_283324 Bool)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_283322 BOUND_VARIABLE_283324)) BOUND_VARIABLE_283323) (ll_2021 BOUND_VARIABLE_283322 BOUND_VARIABLE_283323 BOUND_VARIABLE_283324))))) (let ((_let_17950 (forall ((BOUND_VARIABLE_283312 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_283313 tptp.set_char) (BOUND_VARIABLE_283314 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_283312 BOUND_VARIABLE_283314)) BOUND_VARIABLE_283313) (ll_2020 BOUND_VARIABLE_283312 BOUND_VARIABLE_283313 BOUND_VARIABLE_283314))))) (let ((_let_17951 (forall ((BOUND_VARIABLE_283302 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_283303 tptp.set_char) (BOUND_VARIABLE_283304 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_char (@ BOUND_VARIABLE_283302 BOUND_VARIABLE_283304)) BOUND_VARIABLE_283303) (ll_2019 BOUND_VARIABLE_283302 BOUND_VARIABLE_283303 BOUND_VARIABLE_283304))))) (let ((_let_17952 (forall ((BOUND_VARIABLE_283294 tptp.code_integer) (BOUND_VARIABLE_283295 tptp.code_integer)) (= (@ (@ tptp.minus_8373710615458151222nteger BOUND_VARIABLE_283295) BOUND_VARIABLE_283294) (ll_2018 BOUND_VARIABLE_283294 BOUND_VARIABLE_283295))))) (let ((_let_17953 (forall ((BOUND_VARIABLE_283286 tptp.rat) (BOUND_VARIABLE_283287 tptp.rat)) (= (@ (@ tptp.minus_minus_rat BOUND_VARIABLE_283287) BOUND_VARIABLE_283286) (ll_2017 BOUND_VARIABLE_283286 BOUND_VARIABLE_283287))))) (let ((_let_17954 (forall ((BOUND_VARIABLE_283274 tptp.int) (BOUND_VARIABLE_283275 tptp.int)) (= (ll_2016 BOUND_VARIABLE_283274 BOUND_VARIABLE_283275) (@ (@ (@ (@ (@ tptp.map_fu4960017516451851995nt_int tptp.rep_Integ) (@ (@ tptp.map_fu3667384564859982768at_int tptp.rep_Integ) tptp.abs_Integ)) ll_3226) BOUND_VARIABLE_283275) BOUND_VARIABLE_283274))))) (let ((_let_17955 (forall ((BOUND_VARIABLE_283249 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_283250 tptp.int) (BOUND_VARIABLE_283251 tptp.code_integer)) (= (ll_2015 BOUND_VARIABLE_283249 BOUND_VARIABLE_283250 BOUND_VARIABLE_283251) (not (forall ((B4 tptp.int)) (or (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_283250) B4)) (@ tptp.collec213857154873943460nt_int ll_1579))) (not (@ (@ BOUND_VARIABLE_283249 B4) BOUND_VARIABLE_283251))))))))) (let ((_let_17956 (forall ((BOUND_VARIABLE_283233 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_283234 tptp.product_prod_nat_nat) (BOUND_VARIABLE_283235 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ tptp.bot_bo4898103413517107610_nat_o BOUND_VARIABLE_283234) B4)) (not (@ (@ BOUND_VARIABLE_283233 B4) BOUND_VARIABLE_283235))))) (ll_2014 BOUND_VARIABLE_283233 BOUND_VARIABLE_283234 BOUND_VARIABLE_283235))))) (let ((_let_17957 (forall ((BOUND_VARIABLE_283218 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_283219 tptp.int) (BOUND_VARIABLE_283220 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_283218 BOUND_VARIABLE_283219) B4)) (not (@ (@ tptp.bot_bo341146761387662761eger_o B4) BOUND_VARIABLE_283220))))) (ll_2013 BOUND_VARIABLE_283218 BOUND_VARIABLE_283219 BOUND_VARIABLE_283220))))) (let ((_let_17958 (forall ((BOUND_VARIABLE_283203 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_283204 tptp.product_prod_nat_nat) (BOUND_VARIABLE_283205 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_283203 BOUND_VARIABLE_283204) B4)) (not (@ (@ tptp.bot_bo5438875203632553179_int_o B4) BOUND_VARIABLE_283205))))) (ll_2012 BOUND_VARIABLE_283203 BOUND_VARIABLE_283204 BOUND_VARIABLE_283205))))) (let ((_let_17959 (forall ((BOUND_VARIABLE_283170 tptp.set_nat) (BOUND_VARIABLE_283171 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_283172 tptp.nat)) (= (ll_2011 BOUND_VARIABLE_283170 BOUND_VARIABLE_283171 BOUND_VARIABLE_283172) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_283172)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3559 BOUND_VARIABLE_283170) BOUND_VARIABLE_283171)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17960 (forall ((BOUND_VARIABLE_283135 tptp.set_nat) (BOUND_VARIABLE_283136 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_283137 tptp.set_Product_unit) (BOUND_VARIABLE_283138 tptp.nat)) (= (ll_2010 BOUND_VARIABLE_283135 BOUND_VARIABLE_283136 BOUND_VARIABLE_283137 BOUND_VARIABLE_283138) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_283138)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3558 BOUND_VARIABLE_283135) BOUND_VARIABLE_283136)) BOUND_VARIABLE_283137))))))) (let ((_let_17961 (forall ((BOUND_VARIABLE_283122 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_283123 tptp.set_Product_unit) (BOUND_VARIABLE_283124 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_283124)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_283122) BOUND_VARIABLE_283123))) (ll_2009 BOUND_VARIABLE_283122 BOUND_VARIABLE_283123 BOUND_VARIABLE_283124))))) (let ((_let_17962 (forall ((BOUND_VARIABLE_283089 tptp.set_int) (BOUND_VARIABLE_283090 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_283091 tptp.int)) (= (ll_2008 BOUND_VARIABLE_283089 BOUND_VARIABLE_283090 BOUND_VARIABLE_283091) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283091)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3557 BOUND_VARIABLE_283089) BOUND_VARIABLE_283090)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_17963 (forall ((BOUND_VARIABLE_283054 tptp.set_int) (BOUND_VARIABLE_283055 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_283056 tptp.set_nat) (BOUND_VARIABLE_283057 tptp.int)) (= (ll_2007 BOUND_VARIABLE_283054 BOUND_VARIABLE_283055 BOUND_VARIABLE_283056 BOUND_VARIABLE_283057) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283057)) (@ (@ tptp.image_nat_set_int (@ (@ ll_3556 BOUND_VARIABLE_283054) BOUND_VARIABLE_283055)) BOUND_VARIABLE_283056))))))) (let ((_let_17964 (forall ((BOUND_VARIABLE_283041 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_283042 tptp.set_nat) (BOUND_VARIABLE_283043 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283043)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_283041) BOUND_VARIABLE_283042))) (ll_2006 BOUND_VARIABLE_283041 BOUND_VARIABLE_283042 BOUND_VARIABLE_283043))))) (let ((_let_17965 (forall ((BOUND_VARIABLE_283008 tptp.set_int) (BOUND_VARIABLE_283009 (-> Bool tptp.set_int)) (BOUND_VARIABLE_283010 tptp.int)) (= (ll_2005 BOUND_VARIABLE_283008 BOUND_VARIABLE_283009 BOUND_VARIABLE_283010) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_283010)) (@ (@ tptp.image_o_set_int (@ (@ ll_3555 BOUND_VARIABLE_283008) BOUND_VARIABLE_283009)) tptp.bot_bot_set_o))))))) (let ((_let_17966 (forall ((BOUND_VARIABLE_282973 tptp.set_int) (BOUND_VARIABLE_282974 (-> Bool tptp.set_int)) (BOUND_VARIABLE_282975 tptp.set_o) (BOUND_VARIABLE_282976 tptp.int)) (= (ll_2004 BOUND_VARIABLE_282973 BOUND_VARIABLE_282974 BOUND_VARIABLE_282975 BOUND_VARIABLE_282976) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282976)) (@ (@ tptp.image_o_set_int (@ (@ ll_3554 BOUND_VARIABLE_282973) BOUND_VARIABLE_282974)) BOUND_VARIABLE_282975))))))) (let ((_let_17967 (forall ((BOUND_VARIABLE_282960 (-> Bool tptp.set_int)) (BOUND_VARIABLE_282961 tptp.set_o) (BOUND_VARIABLE_282962 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282962)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_282960) BOUND_VARIABLE_282961))) (ll_2003 BOUND_VARIABLE_282960 BOUND_VARIABLE_282961 BOUND_VARIABLE_282962))))) (let ((_let_17968 (forall ((BOUND_VARIABLE_282927 tptp.set_int) (BOUND_VARIABLE_282928 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_282929 tptp.int)) (= (ll_2002 BOUND_VARIABLE_282927 BOUND_VARIABLE_282928 BOUND_VARIABLE_282929) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282929)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3553 BOUND_VARIABLE_282927) BOUND_VARIABLE_282928)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_17969 (forall ((BOUND_VARIABLE_282892 tptp.set_int) (BOUND_VARIABLE_282893 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_282894 tptp.set_Product_unit) (BOUND_VARIABLE_282895 tptp.int)) (= (ll_2001 BOUND_VARIABLE_282892 BOUND_VARIABLE_282893 BOUND_VARIABLE_282894 BOUND_VARIABLE_282895) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282895)) (@ (@ tptp.image_3995998972318789802et_int (@ (@ ll_3552 BOUND_VARIABLE_282892) BOUND_VARIABLE_282893)) BOUND_VARIABLE_282894))))))) (let ((_let_17970 (forall ((BOUND_VARIABLE_282879 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_282880 tptp.set_Product_unit) (BOUND_VARIABLE_282881 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282881)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_282879) BOUND_VARIABLE_282880))) (ll_2000 BOUND_VARIABLE_282879 BOUND_VARIABLE_282880 BOUND_VARIABLE_282881))))) (let ((_let_17971 (forall ((BOUND_VARIABLE_282869 tptp.set_rat) (BOUND_VARIABLE_282870 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_282871 tptp.nat)) (= (@ (@ tptp.minus_minus_set_rat BOUND_VARIABLE_282869) (@ BOUND_VARIABLE_282870 BOUND_VARIABLE_282871)) (ll_1999 BOUND_VARIABLE_282869 BOUND_VARIABLE_282870 BOUND_VARIABLE_282871))))) (let ((_let_17972 (forall ((BOUND_VARIABLE_282859 tptp.set_rat) (BOUND_VARIABLE_282860 (-> tptp.nat tptp.set_rat)) (BOUND_VARIABLE_282861 tptp.nat)) (= (@ (@ tptp.minus_minus_set_rat BOUND_VARIABLE_282859) (@ BOUND_VARIABLE_282860 BOUND_VARIABLE_282861)) (ll_1998 BOUND_VARIABLE_282859 BOUND_VARIABLE_282860 BOUND_VARIABLE_282861))))) (let ((_let_17973 (forall ((BOUND_VARIABLE_282849 tptp.set_rat) (BOUND_VARIABLE_282850 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_282851 Bool)) (= (@ (@ tptp.minus_minus_set_rat BOUND_VARIABLE_282849) (@ BOUND_VARIABLE_282850 BOUND_VARIABLE_282851)) (ll_1997 BOUND_VARIABLE_282849 BOUND_VARIABLE_282850 BOUND_VARIABLE_282851))))) (let ((_let_17974 (forall ((BOUND_VARIABLE_282839 tptp.set_rat) (BOUND_VARIABLE_282840 (-> Bool tptp.set_rat)) (BOUND_VARIABLE_282841 Bool)) (= (@ (@ tptp.minus_minus_set_rat BOUND_VARIABLE_282839) (@ BOUND_VARIABLE_282840 BOUND_VARIABLE_282841)) (ll_1996 BOUND_VARIABLE_282839 BOUND_VARIABLE_282840 BOUND_VARIABLE_282841))))) (let ((_let_17975 (forall ((BOUND_VARIABLE_282829 tptp.set_rat) (BOUND_VARIABLE_282830 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_282831 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_rat BOUND_VARIABLE_282829) (@ BOUND_VARIABLE_282830 BOUND_VARIABLE_282831)) (ll_1995 BOUND_VARIABLE_282829 BOUND_VARIABLE_282830 BOUND_VARIABLE_282831))))) (let ((_let_17976 (forall ((BOUND_VARIABLE_282819 tptp.set_rat) (BOUND_VARIABLE_282820 (-> tptp.product_unit tptp.set_rat)) (BOUND_VARIABLE_282821 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_rat BOUND_VARIABLE_282819) (@ BOUND_VARIABLE_282820 BOUND_VARIABLE_282821)) (ll_1994 BOUND_VARIABLE_282819 BOUND_VARIABLE_282820 BOUND_VARIABLE_282821))))) (let ((_let_17977 (forall ((BOUND_VARIABLE_282809 tptp.set_char) (BOUND_VARIABLE_282810 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_282811 tptp.nat)) (= (@ (@ tptp.minus_minus_set_char BOUND_VARIABLE_282809) (@ BOUND_VARIABLE_282810 BOUND_VARIABLE_282811)) (ll_1993 BOUND_VARIABLE_282809 BOUND_VARIABLE_282810 BOUND_VARIABLE_282811))))) (let ((_let_17978 (forall ((BOUND_VARIABLE_282799 tptp.set_char) (BOUND_VARIABLE_282800 (-> tptp.nat tptp.set_char)) (BOUND_VARIABLE_282801 tptp.nat)) (= (@ (@ tptp.minus_minus_set_char BOUND_VARIABLE_282799) (@ BOUND_VARIABLE_282800 BOUND_VARIABLE_282801)) (ll_1992 BOUND_VARIABLE_282799 BOUND_VARIABLE_282800 BOUND_VARIABLE_282801))))) (let ((_let_17979 (forall ((BOUND_VARIABLE_282789 tptp.set_char) (BOUND_VARIABLE_282790 (-> Bool tptp.set_char)) (BOUND_VARIABLE_282791 Bool)) (= (@ (@ tptp.minus_minus_set_char BOUND_VARIABLE_282789) (@ BOUND_VARIABLE_282790 BOUND_VARIABLE_282791)) (ll_1991 BOUND_VARIABLE_282789 BOUND_VARIABLE_282790 BOUND_VARIABLE_282791))))) (let ((_let_17980 (forall ((BOUND_VARIABLE_282779 tptp.set_char) (BOUND_VARIABLE_282780 (-> Bool tptp.set_char)) (BOUND_VARIABLE_282781 Bool)) (= (@ (@ tptp.minus_minus_set_char BOUND_VARIABLE_282779) (@ BOUND_VARIABLE_282780 BOUND_VARIABLE_282781)) (ll_1990 BOUND_VARIABLE_282779 BOUND_VARIABLE_282780 BOUND_VARIABLE_282781))))) (let ((_let_17981 (forall ((BOUND_VARIABLE_282769 tptp.set_char) (BOUND_VARIABLE_282770 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_282771 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_char BOUND_VARIABLE_282769) (@ BOUND_VARIABLE_282770 BOUND_VARIABLE_282771)) (ll_1989 BOUND_VARIABLE_282769 BOUND_VARIABLE_282770 BOUND_VARIABLE_282771))))) (let ((_let_17982 (forall ((BOUND_VARIABLE_282759 tptp.set_char) (BOUND_VARIABLE_282760 (-> tptp.product_unit tptp.set_char)) (BOUND_VARIABLE_282761 tptp.product_unit)) (= (@ (@ tptp.minus_minus_set_char BOUND_VARIABLE_282759) (@ BOUND_VARIABLE_282760 BOUND_VARIABLE_282761)) (ll_1988 BOUND_VARIABLE_282759 BOUND_VARIABLE_282760 BOUND_VARIABLE_282761))))) (let ((_let_17983 (forall ((BOUND_VARIABLE_282725 tptp.set_int) (BOUND_VARIABLE_282726 tptp.product_prod_int_int)) (= (ll_1987 BOUND_VARIABLE_282725 BOUND_VARIABLE_282726) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_282726)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3551 BOUND_VARIABLE_282725)) BOUND_VARIABLE_282725))))))) (let ((_let_17984 (forall ((BOUND_VARIABLE_282691 tptp.set_nat) (BOUND_VARIABLE_282692 tptp.product_prod_nat_nat)) (= (ll_1986 BOUND_VARIABLE_282691 BOUND_VARIABLE_282692) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_282692)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3550 BOUND_VARIABLE_282691)) BOUND_VARIABLE_282691))))))) (let ((_let_17985 (forall ((BOUND_VARIABLE_282657 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_282658 tptp.produc3843707927480180839at_nat)) (= (ll_1985 BOUND_VARIABLE_282657 BOUND_VARIABLE_282658) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_282658)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3549 BOUND_VARIABLE_282657)) BOUND_VARIABLE_282657))))))) (let ((_let_17986 (forall ((BOUND_VARIABLE_282629 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_282630 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1984 BOUND_VARIABLE_282629 BOUND_VARIABLE_282630) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3548 BOUND_VARIABLE_282630)) BOUND_VARIABLE_282629)))))) (let ((_let_17987 (forall ((BOUND_VARIABLE_282616 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_282617 tptp.set_int) (BOUND_VARIABLE_282618 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282618)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_282616) BOUND_VARIABLE_282617))) (ll_1983 BOUND_VARIABLE_282616 BOUND_VARIABLE_282617 BOUND_VARIABLE_282618))))) (let ((_let_17988 (forall ((BOUND_VARIABLE_282603 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_282604 tptp.set_nat) (BOUND_VARIABLE_282605 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282605)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_282603) BOUND_VARIABLE_282604))) (ll_1982 BOUND_VARIABLE_282603 BOUND_VARIABLE_282604 BOUND_VARIABLE_282605))))) (let ((_let_17989 (forall ((BOUND_VARIABLE_282590 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_282591 tptp.set_o) (BOUND_VARIABLE_282592 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282592)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_282590) BOUND_VARIABLE_282591))) (ll_1981 BOUND_VARIABLE_282590 BOUND_VARIABLE_282591 BOUND_VARIABLE_282592))))) (let ((_let_17990 (forall ((BOUND_VARIABLE_282577 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_282578 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_282579 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282579)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_282577) BOUND_VARIABLE_282578))) (ll_1980 BOUND_VARIABLE_282577 BOUND_VARIABLE_282578 BOUND_VARIABLE_282579))))) (let ((_let_17991 (forall ((BOUND_VARIABLE_282564 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_282565 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_282566 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282566)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_282564) BOUND_VARIABLE_282565))) (ll_1979 BOUND_VARIABLE_282564 BOUND_VARIABLE_282565 BOUND_VARIABLE_282566))))) (let ((_let_17992 (forall ((BOUND_VARIABLE_282539 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_282540 tptp.nat) (BOUND_VARIABLE_282541 tptp.nat) (BOUND_VARIABLE_282542 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_282539 BOUND_VARIABLE_282540)))) (= (ll_1978 BOUND_VARIABLE_282539 BOUND_VARIABLE_282540 BOUND_VARIABLE_282541 BOUND_VARIABLE_282542) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282542)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282541) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17993 (forall ((BOUND_VARIABLE_282512 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_282513 tptp.set_nat) (BOUND_VARIABLE_282514 tptp.nat) (BOUND_VARIABLE_282515 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int BOUND_VARIABLE_282512) BOUND_VARIABLE_282513))))) (= (ll_1977 BOUND_VARIABLE_282512 BOUND_VARIABLE_282513 BOUND_VARIABLE_282514 BOUND_VARIABLE_282515) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282515)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282514) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17994 (forall ((BOUND_VARIABLE_282487 (-> Bool tptp.int)) (BOUND_VARIABLE_282488 Bool) (BOUND_VARIABLE_282489 tptp.nat) (BOUND_VARIABLE_282490 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_282487 BOUND_VARIABLE_282488)))) (= (ll_1976 BOUND_VARIABLE_282487 BOUND_VARIABLE_282488 BOUND_VARIABLE_282489 BOUND_VARIABLE_282490) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282490)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282489) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17995 (forall ((BOUND_VARIABLE_282460 (-> Bool tptp.int)) (BOUND_VARIABLE_282461 tptp.set_o) (BOUND_VARIABLE_282462 tptp.nat) (BOUND_VARIABLE_282463 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int BOUND_VARIABLE_282460) BOUND_VARIABLE_282461))))) (= (ll_1975 BOUND_VARIABLE_282460 BOUND_VARIABLE_282461 BOUND_VARIABLE_282462 BOUND_VARIABLE_282463) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282463)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282462) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17996 (forall ((BOUND_VARIABLE_282435 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_282436 tptp.product_unit) (BOUND_VARIABLE_282437 tptp.nat) (BOUND_VARIABLE_282438 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_282435 BOUND_VARIABLE_282436)))) (= (ll_1974 BOUND_VARIABLE_282435 BOUND_VARIABLE_282436 BOUND_VARIABLE_282437 BOUND_VARIABLE_282438) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282438)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282437) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17997 (forall ((BOUND_VARIABLE_282408 (-> tptp.product_unit tptp.int)) (BOUND_VARIABLE_282409 tptp.set_Product_unit) (BOUND_VARIABLE_282410 tptp.nat) (BOUND_VARIABLE_282411 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int BOUND_VARIABLE_282408) BOUND_VARIABLE_282409))))) (= (ll_1973 BOUND_VARIABLE_282408 BOUND_VARIABLE_282409 BOUND_VARIABLE_282410 BOUND_VARIABLE_282411) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282411)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282410) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17998 (forall ((BOUND_VARIABLE_282383 (-> tptp.int tptp.int)) (BOUND_VARIABLE_282384 tptp.int) (BOUND_VARIABLE_282385 tptp.nat) (BOUND_VARIABLE_282386 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ BOUND_VARIABLE_282383 BOUND_VARIABLE_282384)))) (= (ll_1972 BOUND_VARIABLE_282383 BOUND_VARIABLE_282384 BOUND_VARIABLE_282385 BOUND_VARIABLE_282386) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282386)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282385) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_17999 (forall ((BOUND_VARIABLE_282356 (-> tptp.int tptp.int)) (BOUND_VARIABLE_282357 tptp.set_int) (BOUND_VARIABLE_282358 tptp.nat) (BOUND_VARIABLE_282359 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int BOUND_VARIABLE_282356) BOUND_VARIABLE_282357))))) (= (ll_1971 BOUND_VARIABLE_282356 BOUND_VARIABLE_282357 BOUND_VARIABLE_282358 BOUND_VARIABLE_282359) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282359)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282358) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_18000 (forall ((BOUND_VARIABLE_282333 tptp.int) (BOUND_VARIABLE_282334 tptp.nat) (BOUND_VARIABLE_282335 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_282333))) (= (ll_1970 BOUND_VARIABLE_282333 BOUND_VARIABLE_282334 BOUND_VARIABLE_282335) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282335)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282334) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_18001 (forall ((BOUND_VARIABLE_282310 tptp.int) (BOUND_VARIABLE_282311 tptp.nat) (BOUND_VARIABLE_282312 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_282310))) (= (ll_1969 BOUND_VARIABLE_282310 BOUND_VARIABLE_282311 BOUND_VARIABLE_282312) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282312)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282311) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_18002 (forall ((BOUND_VARIABLE_282287 tptp.int) (BOUND_VARIABLE_282288 tptp.nat) (BOUND_VARIABLE_282289 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_282287))) (= (ll_1968 BOUND_VARIABLE_282287 BOUND_VARIABLE_282288 BOUND_VARIABLE_282289) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282289)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282288) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_18003 (forall ((BOUND_VARIABLE_282264 tptp.int) (BOUND_VARIABLE_282265 tptp.nat) (BOUND_VARIABLE_282266 tptp.nat)) (let ((_let_1 (@ tptp.rep_Integ BOUND_VARIABLE_282264))) (= (ll_1967 BOUND_VARIABLE_282264 BOUND_VARIABLE_282265 BOUND_VARIABLE_282266) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) BOUND_VARIABLE_282266)) (@ (@ tptp.plus_plus_nat BOUND_VARIABLE_282265) (@ tptp.product_snd_nat_nat _let_1)))))))) (let ((_let_18004 (forall ((BOUND_VARIABLE_282239 tptp.set_nat) (BOUND_VARIABLE_282240 tptp.set_Product_unit) (BOUND_VARIABLE_282241 tptp.nat)) (= (ll_1966 BOUND_VARIABLE_282239 BOUND_VARIABLE_282240 BOUND_VARIABLE_282241) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282241)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3547 BOUND_VARIABLE_282239)) BOUND_VARIABLE_282240))))))) (let ((_let_18005 (forall ((BOUND_VARIABLE_282233 tptp.int) (BOUND_VARIABLE_282234 tptp.nat)) (= BOUND_VARIABLE_282233 (ll_1965 BOUND_VARIABLE_282233 BOUND_VARIABLE_282234))))) (let ((_let_18006 (forall ((BOUND_VARIABLE_282227 tptp.int) (BOUND_VARIABLE_282228 Bool)) (= BOUND_VARIABLE_282227 (ll_1964 BOUND_VARIABLE_282227 BOUND_VARIABLE_282228))))) (let ((_let_18007 (forall ((BOUND_VARIABLE_282221 tptp.int) (BOUND_VARIABLE_282222 tptp.product_unit)) (= BOUND_VARIABLE_282221 (ll_1963 BOUND_VARIABLE_282221 BOUND_VARIABLE_282222))))) (let ((_let_18008 (forall ((BOUND_VARIABLE_282215 tptp.int) (BOUND_VARIABLE_282216 tptp.int)) (= BOUND_VARIABLE_282215 (ll_1962 BOUND_VARIABLE_282215 BOUND_VARIABLE_282216))))) (let ((_let_18009 (forall ((BOUND_VARIABLE_282209 tptp.nat) (BOUND_VARIABLE_282210 tptp.nat)) (= BOUND_VARIABLE_282209 (ll_1961 BOUND_VARIABLE_282209 BOUND_VARIABLE_282210))))) (let ((_let_18010 (forall ((BOUND_VARIABLE_282203 tptp.nat) (BOUND_VARIABLE_282204 tptp.int)) (= BOUND_VARIABLE_282203 (ll_1960 BOUND_VARIABLE_282203 BOUND_VARIABLE_282204))))) (let ((_let_18011 (forall ((BOUND_VARIABLE_282178 tptp.set_nat) (BOUND_VARIABLE_282179 tptp.set_Product_unit) (BOUND_VARIABLE_282180 tptp.nat)) (= (ll_1959 BOUND_VARIABLE_282178 BOUND_VARIABLE_282179 BOUND_VARIABLE_282180) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282180)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3546 BOUND_VARIABLE_282178)) BOUND_VARIABLE_282179))))))) (let ((_let_18012 (forall ((BOUND_VARIABLE_282172 tptp.int) (BOUND_VARIABLE_282173 tptp.nat)) (= BOUND_VARIABLE_282172 (ll_1958 BOUND_VARIABLE_282172 BOUND_VARIABLE_282173))))) (let ((_let_18013 (forall ((BOUND_VARIABLE_282166 tptp.int) (BOUND_VARIABLE_282167 Bool)) (= BOUND_VARIABLE_282166 (ll_1957 BOUND_VARIABLE_282166 BOUND_VARIABLE_282167))))) (let ((_let_18014 (forall ((BOUND_VARIABLE_282160 tptp.int) (BOUND_VARIABLE_282161 tptp.product_unit)) (= BOUND_VARIABLE_282160 (ll_1956 BOUND_VARIABLE_282160 BOUND_VARIABLE_282161))))) (let ((_let_18015 (forall ((BOUND_VARIABLE_282154 tptp.int) (BOUND_VARIABLE_282155 tptp.int)) (= BOUND_VARIABLE_282154 (ll_1955 BOUND_VARIABLE_282154 BOUND_VARIABLE_282155))))) (let ((_let_18016 (forall ((BOUND_VARIABLE_282148 tptp.nat) (BOUND_VARIABLE_282149 tptp.nat)) (= BOUND_VARIABLE_282148 (ll_1954 BOUND_VARIABLE_282148 BOUND_VARIABLE_282149))))) (let ((_let_18017 (forall ((BOUND_VARIABLE_282142 tptp.nat) (BOUND_VARIABLE_282143 tptp.int)) (= BOUND_VARIABLE_282142 (ll_1953 BOUND_VARIABLE_282142 BOUND_VARIABLE_282143))))) (let ((_let_18018 (forall ((BOUND_VARIABLE_282130 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_282131 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282131)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_282130) tptp.bot_bo3957492148770167129t_unit))) (ll_1952 BOUND_VARIABLE_282130 BOUND_VARIABLE_282131))))) (let ((_let_18019 (forall ((BOUND_VARIABLE_282113 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_282114 tptp.int)) (= (ll_1951 BOUND_VARIABLE_282113 BOUND_VARIABLE_282114) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282114)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_282113) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18020 (forall ((BOUND_VARIABLE_282101 (-> Bool tptp.set_int)) (BOUND_VARIABLE_282102 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282102)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_282101) tptp.bot_bot_set_o))) (ll_1950 BOUND_VARIABLE_282101 BOUND_VARIABLE_282102))))) (let ((_let_18021 (forall ((BOUND_VARIABLE_282089 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_282090 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_282090)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_282089) tptp.bot_bo3957492148770167129t_unit))) (ll_1949 BOUND_VARIABLE_282089 BOUND_VARIABLE_282090))))) (let ((_let_18022 (forall ((BOUND_VARIABLE_282077 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_282078 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282078)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_282077) tptp.bot_bo3957492148770167129t_unit))) (ll_1948 BOUND_VARIABLE_282077 BOUND_VARIABLE_282078))))) (let ((_let_18023 (forall ((BOUND_VARIABLE_282060 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_282061 Bool)) (= (ll_1947 BOUND_VARIABLE_282060 BOUND_VARIABLE_282061) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_282061)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_282060) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18024 (forall ((BOUND_VARIABLE_282048 (-> Bool tptp.set_o)) (BOUND_VARIABLE_282049 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_282049)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_282048) tptp.bot_bot_set_o))) (ll_1946 BOUND_VARIABLE_282048 BOUND_VARIABLE_282049))))) (let ((_let_18025 (forall ((BOUND_VARIABLE_282036 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_282037 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_282037)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_282036) tptp.bot_bo3957492148770167129t_unit))) (ll_1945 BOUND_VARIABLE_282036 BOUND_VARIABLE_282037))))) (let ((_let_18026 (forall ((BOUND_VARIABLE_282012 tptp.set_nat) (BOUND_VARIABLE_282013 tptp.nat)) (= (ll_1944 BOUND_VARIABLE_282012 BOUND_VARIABLE_282013) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_282013)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3545 BOUND_VARIABLE_282012)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18027 (forall ((BOUND_VARIABLE_281987 tptp.set_nat) (BOUND_VARIABLE_281988 tptp.set_Product_unit) (BOUND_VARIABLE_281989 tptp.nat)) (= (ll_1943 BOUND_VARIABLE_281987 BOUND_VARIABLE_281988 BOUND_VARIABLE_281989) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281989)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3544 BOUND_VARIABLE_281987)) BOUND_VARIABLE_281988))))))) (let ((_let_18028 (forall ((BOUND_VARIABLE_281963 tptp.set_o) (BOUND_VARIABLE_281964 Bool)) (= (ll_1942 BOUND_VARIABLE_281963 BOUND_VARIABLE_281964) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_281964)) (@ (@ tptp.image_nat_set_o (@ ll_3543 BOUND_VARIABLE_281963)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18029 (forall ((BOUND_VARIABLE_281938 tptp.set_o) (BOUND_VARIABLE_281939 tptp.set_nat) (BOUND_VARIABLE_281940 Bool)) (= (ll_1941 BOUND_VARIABLE_281938 BOUND_VARIABLE_281939 BOUND_VARIABLE_281940) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_281940)) (@ (@ tptp.image_nat_set_o (@ ll_3542 BOUND_VARIABLE_281938)) BOUND_VARIABLE_281939))))))) (let ((_let_18030 (forall ((BOUND_VARIABLE_281932 tptp.set_Product_unit) (BOUND_VARIABLE_281933 tptp.nat)) (= BOUND_VARIABLE_281932 (ll_1940 BOUND_VARIABLE_281932 BOUND_VARIABLE_281933))))) (let ((_let_18031 (forall ((BOUND_VARIABLE_281926 tptp.set_Product_unit) (BOUND_VARIABLE_281927 tptp.nat)) (= BOUND_VARIABLE_281926 (ll_1939 BOUND_VARIABLE_281926 BOUND_VARIABLE_281927))))) (let ((_let_18032 (forall ((BOUND_VARIABLE_281902 tptp.set_o) (BOUND_VARIABLE_281903 Bool)) (= (ll_1938 BOUND_VARIABLE_281902 BOUND_VARIABLE_281903) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_281903)) (@ (@ tptp.image_o_set_o (@ ll_3541 BOUND_VARIABLE_281902)) tptp.bot_bot_set_o))))))) (let ((_let_18033 (forall ((BOUND_VARIABLE_281877 tptp.set_o) (BOUND_VARIABLE_281878 tptp.set_o) (BOUND_VARIABLE_281879 Bool)) (= (ll_1937 BOUND_VARIABLE_281877 BOUND_VARIABLE_281878 BOUND_VARIABLE_281879) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_281879)) (@ (@ tptp.image_o_set_o (@ ll_3540 BOUND_VARIABLE_281877)) BOUND_VARIABLE_281878))))))) (let ((_let_18034 (forall ((BOUND_VARIABLE_281871 tptp.set_Product_unit) (BOUND_VARIABLE_281872 Bool)) (= BOUND_VARIABLE_281871 (ll_1936 BOUND_VARIABLE_281871 BOUND_VARIABLE_281872))))) (let ((_let_18035 (forall ((BOUND_VARIABLE_281865 tptp.set_Product_unit) (BOUND_VARIABLE_281866 Bool)) (= BOUND_VARIABLE_281865 (ll_1935 BOUND_VARIABLE_281865 BOUND_VARIABLE_281866))))) (let ((_let_18036 (forall ((BOUND_VARIABLE_281841 tptp.set_o) (BOUND_VARIABLE_281842 Bool)) (= (ll_1934 BOUND_VARIABLE_281841 BOUND_VARIABLE_281842) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_281842)) (@ (@ tptp.image_6930536745178679216_set_o (@ ll_3539 BOUND_VARIABLE_281841)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18037 (forall ((BOUND_VARIABLE_281816 tptp.set_o) (BOUND_VARIABLE_281817 tptp.set_Product_unit) (BOUND_VARIABLE_281818 Bool)) (= (ll_1933 BOUND_VARIABLE_281816 BOUND_VARIABLE_281817 BOUND_VARIABLE_281818) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_281818)) (@ (@ tptp.image_6930536745178679216_set_o (@ ll_3538 BOUND_VARIABLE_281816)) BOUND_VARIABLE_281817))))))) (let ((_let_18038 (forall ((BOUND_VARIABLE_281810 tptp.set_Product_unit) (BOUND_VARIABLE_281811 tptp.product_unit)) (= BOUND_VARIABLE_281810 (ll_1932 BOUND_VARIABLE_281810 BOUND_VARIABLE_281811))))) (let ((_let_18039 (forall ((BOUND_VARIABLE_281804 tptp.set_Product_unit) (BOUND_VARIABLE_281805 tptp.product_unit)) (= BOUND_VARIABLE_281804 (ll_1931 BOUND_VARIABLE_281804 BOUND_VARIABLE_281805))))) (let ((_let_18040 (forall ((BOUND_VARIABLE_281792 (-> tptp.product_unit tptp.set_int)) (BOUND_VARIABLE_281793 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281793)) (@ (@ tptp.image_3995998972318789802et_int BOUND_VARIABLE_281792) tptp.bot_bo3957492148770167129t_unit))) (ll_1930 BOUND_VARIABLE_281792 BOUND_VARIABLE_281793))))) (let ((_let_18041 (forall ((BOUND_VARIABLE_281768 tptp.set_int) (BOUND_VARIABLE_281769 tptp.int)) (= (ll_1929 BOUND_VARIABLE_281768 BOUND_VARIABLE_281769) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281769)) (@ (@ tptp.image_3995998972318789802et_int (@ ll_3537 BOUND_VARIABLE_281768)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18042 (forall ((BOUND_VARIABLE_281743 tptp.set_int) (BOUND_VARIABLE_281744 tptp.set_Product_unit) (BOUND_VARIABLE_281745 tptp.int)) (= (ll_1928 BOUND_VARIABLE_281743 BOUND_VARIABLE_281744 BOUND_VARIABLE_281745) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281745)) (@ (@ tptp.image_3995998972318789802et_int (@ ll_3536 BOUND_VARIABLE_281743)) BOUND_VARIABLE_281744))))))) (let ((_let_18043 (forall ((BOUND_VARIABLE_281737 tptp.set_rat) (BOUND_VARIABLE_281738 tptp.nat)) (= BOUND_VARIABLE_281737 (ll_1927 BOUND_VARIABLE_281737 BOUND_VARIABLE_281738))))) (let ((_let_18044 (forall ((BOUND_VARIABLE_281731 tptp.set_rat) (BOUND_VARIABLE_281732 tptp.nat)) (= BOUND_VARIABLE_281731 (ll_1926 BOUND_VARIABLE_281731 BOUND_VARIABLE_281732))))) (let ((_let_18045 (forall ((BOUND_VARIABLE_281725 tptp.set_rat) (BOUND_VARIABLE_281726 Bool)) (= BOUND_VARIABLE_281725 (ll_1925 BOUND_VARIABLE_281725 BOUND_VARIABLE_281726))))) (let ((_let_18046 (forall ((BOUND_VARIABLE_281719 tptp.set_rat) (BOUND_VARIABLE_281720 Bool)) (= BOUND_VARIABLE_281719 (ll_1924 BOUND_VARIABLE_281719 BOUND_VARIABLE_281720))))) (let ((_let_18047 (forall ((BOUND_VARIABLE_281713 tptp.set_rat) (BOUND_VARIABLE_281714 tptp.product_unit)) (= BOUND_VARIABLE_281713 (ll_1923 BOUND_VARIABLE_281713 BOUND_VARIABLE_281714))))) (let ((_let_18048 (forall ((BOUND_VARIABLE_281707 tptp.set_rat) (BOUND_VARIABLE_281708 tptp.product_unit)) (= BOUND_VARIABLE_281707 (ll_1922 BOUND_VARIABLE_281707 BOUND_VARIABLE_281708))))) (let ((_let_18049 (forall ((BOUND_VARIABLE_281701 tptp.set_char) (BOUND_VARIABLE_281702 tptp.nat)) (= BOUND_VARIABLE_281701 (ll_1921 BOUND_VARIABLE_281701 BOUND_VARIABLE_281702))))) (let ((_let_18050 (forall ((BOUND_VARIABLE_281695 tptp.set_char) (BOUND_VARIABLE_281696 tptp.nat)) (= BOUND_VARIABLE_281695 (ll_1920 BOUND_VARIABLE_281695 BOUND_VARIABLE_281696))))) (let ((_let_18051 (forall ((BOUND_VARIABLE_281689 tptp.set_char) (BOUND_VARIABLE_281690 Bool)) (= BOUND_VARIABLE_281689 (ll_1919 BOUND_VARIABLE_281689 BOUND_VARIABLE_281690))))) (let ((_let_18052 (forall ((BOUND_VARIABLE_281683 tptp.set_char) (BOUND_VARIABLE_281684 Bool)) (= BOUND_VARIABLE_281683 (ll_1918 BOUND_VARIABLE_281683 BOUND_VARIABLE_281684))))) (let ((_let_18053 (forall ((BOUND_VARIABLE_281677 tptp.set_char) (BOUND_VARIABLE_281678 tptp.product_unit)) (= BOUND_VARIABLE_281677 (ll_1917 BOUND_VARIABLE_281677 BOUND_VARIABLE_281678))))) (let ((_let_18054 (forall ((BOUND_VARIABLE_281671 tptp.set_char) (BOUND_VARIABLE_281672 tptp.product_unit)) (= BOUND_VARIABLE_281671 (ll_1916 BOUND_VARIABLE_281671 BOUND_VARIABLE_281672))))) (let ((_let_18055 (forall ((BOUND_VARIABLE_281658 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281659 tptp.set_int) (BOUND_VARIABLE_281660 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281660)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281658) BOUND_VARIABLE_281659))) (ll_1915 BOUND_VARIABLE_281658 BOUND_VARIABLE_281659 BOUND_VARIABLE_281660))))) (let ((_let_18056 (forall ((BOUND_VARIABLE_281645 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281646 tptp.set_int) (BOUND_VARIABLE_281647 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281647)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281645) BOUND_VARIABLE_281646))) (ll_1914 BOUND_VARIABLE_281645 BOUND_VARIABLE_281646 BOUND_VARIABLE_281647))))) (let ((_let_18057 (forall ((BOUND_VARIABLE_281632 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281633 tptp.set_nat) (BOUND_VARIABLE_281634 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281634)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281632) BOUND_VARIABLE_281633))) (ll_1913 BOUND_VARIABLE_281632 BOUND_VARIABLE_281633 BOUND_VARIABLE_281634))))) (let ((_let_18058 (forall ((BOUND_VARIABLE_281619 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281620 tptp.set_nat) (BOUND_VARIABLE_281621 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281621)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281619) BOUND_VARIABLE_281620))) (ll_1912 BOUND_VARIABLE_281619 BOUND_VARIABLE_281620 BOUND_VARIABLE_281621))))) (let ((_let_18059 (forall ((BOUND_VARIABLE_281606 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281607 tptp.set_o) (BOUND_VARIABLE_281608 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281608)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281606) BOUND_VARIABLE_281607))) (ll_1911 BOUND_VARIABLE_281606 BOUND_VARIABLE_281607 BOUND_VARIABLE_281608))))) (let ((_let_18060 (forall ((BOUND_VARIABLE_281593 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281594 tptp.set_o) (BOUND_VARIABLE_281595 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281595)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281593) BOUND_VARIABLE_281594))) (ll_1910 BOUND_VARIABLE_281593 BOUND_VARIABLE_281594 BOUND_VARIABLE_281595))))) (let ((_let_18061 (forall ((BOUND_VARIABLE_281580 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281581 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281582 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281582)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281580) BOUND_VARIABLE_281581))) (ll_1909 BOUND_VARIABLE_281580 BOUND_VARIABLE_281581 BOUND_VARIABLE_281582))))) (let ((_let_18062 (forall ((BOUND_VARIABLE_281567 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281568 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281569 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281569)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281567) BOUND_VARIABLE_281568))) (ll_1908 BOUND_VARIABLE_281567 BOUND_VARIABLE_281568 BOUND_VARIABLE_281569))))) (let ((_let_18063 (forall ((BOUND_VARIABLE_281554 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_281555 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281556 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281556)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_281554) BOUND_VARIABLE_281555))) (ll_1907 BOUND_VARIABLE_281554 BOUND_VARIABLE_281555 BOUND_VARIABLE_281556))))) (let ((_let_18064 (forall ((BOUND_VARIABLE_281541 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_281542 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281543 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281543)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_281541) BOUND_VARIABLE_281542))) (ll_1906 BOUND_VARIABLE_281541 BOUND_VARIABLE_281542 BOUND_VARIABLE_281543))))) (let ((_let_18065 (forall ((BOUND_VARIABLE_281528 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281529 tptp.set_int) (BOUND_VARIABLE_281530 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281530)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281528) BOUND_VARIABLE_281529))) (ll_1905 BOUND_VARIABLE_281528 BOUND_VARIABLE_281529 BOUND_VARIABLE_281530))))) (let ((_let_18066 (forall ((BOUND_VARIABLE_281515 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281516 tptp.set_int) (BOUND_VARIABLE_281517 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281517)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281515) BOUND_VARIABLE_281516))) (ll_1904 BOUND_VARIABLE_281515 BOUND_VARIABLE_281516 BOUND_VARIABLE_281517))))) (let ((_let_18067 (forall ((BOUND_VARIABLE_281502 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281503 tptp.set_nat) (BOUND_VARIABLE_281504 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281504)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281502) BOUND_VARIABLE_281503))) (ll_1903 BOUND_VARIABLE_281502 BOUND_VARIABLE_281503 BOUND_VARIABLE_281504))))) (let ((_let_18068 (forall ((BOUND_VARIABLE_281489 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281490 tptp.set_nat) (BOUND_VARIABLE_281491 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281491)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281489) BOUND_VARIABLE_281490))) (ll_1902 BOUND_VARIABLE_281489 BOUND_VARIABLE_281490 BOUND_VARIABLE_281491))))) (let ((_let_18069 (forall ((BOUND_VARIABLE_281476 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281477 tptp.set_o) (BOUND_VARIABLE_281478 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281478)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281476) BOUND_VARIABLE_281477))) (ll_1901 BOUND_VARIABLE_281476 BOUND_VARIABLE_281477 BOUND_VARIABLE_281478))))) (let ((_let_18070 (forall ((BOUND_VARIABLE_281463 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281464 tptp.set_o) (BOUND_VARIABLE_281465 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281465)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281463) BOUND_VARIABLE_281464))) (ll_1900 BOUND_VARIABLE_281463 BOUND_VARIABLE_281464 BOUND_VARIABLE_281465))))) (let ((_let_18071 (forall ((BOUND_VARIABLE_281450 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281451 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281452 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281452)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281450) BOUND_VARIABLE_281451))) (ll_1899 BOUND_VARIABLE_281450 BOUND_VARIABLE_281451 BOUND_VARIABLE_281452))))) (let ((_let_18072 (forall ((BOUND_VARIABLE_281437 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281438 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281439 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281439)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281437) BOUND_VARIABLE_281438))) (ll_1898 BOUND_VARIABLE_281437 BOUND_VARIABLE_281438 BOUND_VARIABLE_281439))))) (let ((_let_18073 (forall ((BOUND_VARIABLE_281424 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_281425 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281426 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281426)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_281424) BOUND_VARIABLE_281425))) (ll_1897 BOUND_VARIABLE_281424 BOUND_VARIABLE_281425 BOUND_VARIABLE_281426))))) (let ((_let_18074 (forall ((BOUND_VARIABLE_281411 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_281412 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281413 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281413)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_281411) BOUND_VARIABLE_281412))) (ll_1896 BOUND_VARIABLE_281411 BOUND_VARIABLE_281412 BOUND_VARIABLE_281413))))) (let ((_let_18075 (forall ((BOUND_VARIABLE_281398 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281399 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281400 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281400)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281398) BOUND_VARIABLE_281399))) (ll_1895 BOUND_VARIABLE_281398 BOUND_VARIABLE_281399 BOUND_VARIABLE_281400))))) (let ((_let_18076 (forall ((BOUND_VARIABLE_281385 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281386 tptp.set_nat) (BOUND_VARIABLE_281387 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281387)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281385) BOUND_VARIABLE_281386))) (ll_1894 BOUND_VARIABLE_281385 BOUND_VARIABLE_281386 BOUND_VARIABLE_281387))))) (let ((_let_18077 (forall ((BOUND_VARIABLE_281372 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281373 tptp.set_o) (BOUND_VARIABLE_281374 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281374)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281372) BOUND_VARIABLE_281373))) (ll_1893 BOUND_VARIABLE_281372 BOUND_VARIABLE_281373 BOUND_VARIABLE_281374))))) (let ((_let_18078 (forall ((BOUND_VARIABLE_281359 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_281360 tptp.set_Product_unit) (BOUND_VARIABLE_281361 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281361)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_281359) BOUND_VARIABLE_281360))) (ll_1892 BOUND_VARIABLE_281359 BOUND_VARIABLE_281360 BOUND_VARIABLE_281361))))) (let ((_let_18079 (forall ((BOUND_VARIABLE_281346 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281347 tptp.set_int) (BOUND_VARIABLE_281348 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281348)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281346) BOUND_VARIABLE_281347))) (ll_1891 BOUND_VARIABLE_281346 BOUND_VARIABLE_281347 BOUND_VARIABLE_281348))))) (let ((_let_18080 (forall ((BOUND_VARIABLE_281333 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281334 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281335 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281335)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281333) BOUND_VARIABLE_281334))) (ll_1890 BOUND_VARIABLE_281333 BOUND_VARIABLE_281334 BOUND_VARIABLE_281335))))) (let ((_let_18081 (forall ((BOUND_VARIABLE_281320 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281321 tptp.set_nat) (BOUND_VARIABLE_281322 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281322)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281320) BOUND_VARIABLE_281321))) (ll_1889 BOUND_VARIABLE_281320 BOUND_VARIABLE_281321 BOUND_VARIABLE_281322))))) (let ((_let_18082 (forall ((BOUND_VARIABLE_281307 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281308 tptp.set_o) (BOUND_VARIABLE_281309 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281309)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281307) BOUND_VARIABLE_281308))) (ll_1888 BOUND_VARIABLE_281307 BOUND_VARIABLE_281308 BOUND_VARIABLE_281309))))) (let ((_let_18083 (forall ((BOUND_VARIABLE_281294 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_281295 tptp.set_Product_unit) (BOUND_VARIABLE_281296 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281296)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_281294) BOUND_VARIABLE_281295))) (ll_1887 BOUND_VARIABLE_281294 BOUND_VARIABLE_281295 BOUND_VARIABLE_281296))))) (let ((_let_18084 (forall ((BOUND_VARIABLE_281281 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281282 tptp.set_int) (BOUND_VARIABLE_281283 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281283)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281281) BOUND_VARIABLE_281282))) (ll_1886 BOUND_VARIABLE_281281 BOUND_VARIABLE_281282 BOUND_VARIABLE_281283))))) (let ((_let_18085 (forall ((BOUND_VARIABLE_281244 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281245 tptp.set_set_nat) (BOUND_VARIABLE_281246 tptp.nat)) (= (ll_1885 BOUND_VARIABLE_281244 BOUND_VARIABLE_281245 BOUND_VARIABLE_281246) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281246)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3535 BOUND_VARIABLE_281244)) BOUND_VARIABLE_281245))))))) (let ((_let_18086 (forall ((BOUND_VARIABLE_281214 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281215 tptp.set_set_nat) (BOUND_VARIABLE_281216 tptp.nat)) (= (ll_1884 BOUND_VARIABLE_281214 BOUND_VARIABLE_281215 BOUND_VARIABLE_281216) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281216)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281214) (@ tptp.collect_nat (@ ll_3534 BOUND_VARIABLE_281215))))))))) (let ((_let_18087 (forall ((BOUND_VARIABLE_281204 tptp.set_set_nat) (BOUND_VARIABLE_281205 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281205)) BOUND_VARIABLE_281204)) (ll_1883 BOUND_VARIABLE_281204 BOUND_VARIABLE_281205))))) (let ((_let_18088 (forall ((BOUND_VARIABLE_281190 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_281191 tptp.set_set_nat) (BOUND_VARIABLE_281192 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281192)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.image_nat_nat BOUND_VARIABLE_281190)) BOUND_VARIABLE_281191))) (ll_1882 BOUND_VARIABLE_281190 BOUND_VARIABLE_281191 BOUND_VARIABLE_281192))))) (let ((_let_18089 (forall ((BOUND_VARIABLE_281180 tptp.set_set_nat) (BOUND_VARIABLE_281181 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281181)) BOUND_VARIABLE_281180)) (ll_1881 BOUND_VARIABLE_281180 BOUND_VARIABLE_281181))))) (let ((_let_18090 (forall ((BOUND_VARIABLE_281166 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_281167 tptp.set_set_nat) (BOUND_VARIABLE_281168 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281168)) (@ (@ tptp.image_3739036796817536367et_int (@ tptp.image_nat_int BOUND_VARIABLE_281166)) BOUND_VARIABLE_281167))) (ll_1880 BOUND_VARIABLE_281166 BOUND_VARIABLE_281167 BOUND_VARIABLE_281168))))) (let ((_let_18091 (forall ((BOUND_VARIABLE_281156 tptp.set_set_nat) (BOUND_VARIABLE_281157 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281157)) BOUND_VARIABLE_281156)) (ll_1879 BOUND_VARIABLE_281156 BOUND_VARIABLE_281157))))) (let ((_let_18092 (forall ((BOUND_VARIABLE_281146 tptp.set_set_int) (BOUND_VARIABLE_281147 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281147)) BOUND_VARIABLE_281146)) (ll_1878 BOUND_VARIABLE_281146 BOUND_VARIABLE_281147))))) (let ((_let_18093 (forall ((BOUND_VARIABLE_281132 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_281133 tptp.set_set_int) (BOUND_VARIABLE_281134 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281134)) (@ (@ tptp.image_4702325430467532143et_nat (@ tptp.image_int_nat BOUND_VARIABLE_281132)) BOUND_VARIABLE_281133))) (ll_1877 BOUND_VARIABLE_281132 BOUND_VARIABLE_281133 BOUND_VARIABLE_281134))))) (let ((_let_18094 (forall ((BOUND_VARIABLE_281122 tptp.set_set_int) (BOUND_VARIABLE_281123 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281123)) BOUND_VARIABLE_281122)) (ll_1876 BOUND_VARIABLE_281122 BOUND_VARIABLE_281123))))) (let ((_let_18095 (forall ((BOUND_VARIABLE_281108 (-> tptp.int tptp.int)) (BOUND_VARIABLE_281109 tptp.set_set_int) (BOUND_VARIABLE_281110 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_281110)) (@ (@ tptp.image_524474410958335435et_int (@ tptp.image_int_int BOUND_VARIABLE_281108)) BOUND_VARIABLE_281109))) (ll_1875 BOUND_VARIABLE_281108 BOUND_VARIABLE_281109 BOUND_VARIABLE_281110))))) (let ((_let_18096 (forall ((BOUND_VARIABLE_281089 tptp.set_set_nat)) (= (ll_1874 BOUND_VARIABLE_281089) (@ tptp.collect_nat (@ ll_3533 BOUND_VARIABLE_281089)))))) (let ((_let_18097 (forall ((BOUND_VARIABLE_281070 tptp.set_set_int)) (= (ll_1873 BOUND_VARIABLE_281070) (@ tptp.collect_int (@ ll_3532 BOUND_VARIABLE_281070)))))) (let ((_let_18098 (forall ((BOUND_VARIABLE_281057 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_281058 tptp.set_int) (BOUND_VARIABLE_281059 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281059)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_281057) BOUND_VARIABLE_281058))) (ll_1872 BOUND_VARIABLE_281057 BOUND_VARIABLE_281058 BOUND_VARIABLE_281059))))) (let ((_let_18099 (forall ((BOUND_VARIABLE_281044 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_281045 tptp.set_nat) (BOUND_VARIABLE_281046 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281046)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_281044) BOUND_VARIABLE_281045))) (ll_1871 BOUND_VARIABLE_281044 BOUND_VARIABLE_281045 BOUND_VARIABLE_281046))))) (let ((_let_18100 (forall ((BOUND_VARIABLE_281031 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_281032 tptp.set_o) (BOUND_VARIABLE_281033 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281033)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_281031) BOUND_VARIABLE_281032))) (ll_1870 BOUND_VARIABLE_281031 BOUND_VARIABLE_281032 BOUND_VARIABLE_281033))))) (let ((_let_18101 (forall ((BOUND_VARIABLE_281018 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_281019 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_281020 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281020)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_281018) BOUND_VARIABLE_281019))) (ll_1869 BOUND_VARIABLE_281018 BOUND_VARIABLE_281019 BOUND_VARIABLE_281020))))) (let ((_let_18102 (forall ((BOUND_VARIABLE_281005 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_281006 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_281007 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_281007)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_281005) BOUND_VARIABLE_281006))) (ll_1868 BOUND_VARIABLE_281005 BOUND_VARIABLE_281006 BOUND_VARIABLE_281007))))) (let ((_let_18103 (forall ((BOUND_VARIABLE_280992 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280993 tptp.set_int) (BOUND_VARIABLE_280994 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280994)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280992) BOUND_VARIABLE_280993))) (ll_1867 BOUND_VARIABLE_280992 BOUND_VARIABLE_280993 BOUND_VARIABLE_280994))))) (let ((_let_18104 (forall ((BOUND_VARIABLE_280979 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280980 tptp.set_nat) (BOUND_VARIABLE_280981 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280981)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280979) BOUND_VARIABLE_280980))) (ll_1866 BOUND_VARIABLE_280979 BOUND_VARIABLE_280980 BOUND_VARIABLE_280981))))) (let ((_let_18105 (forall ((BOUND_VARIABLE_280966 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280967 tptp.set_o) (BOUND_VARIABLE_280968 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280968)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280966) BOUND_VARIABLE_280967))) (ll_1865 BOUND_VARIABLE_280966 BOUND_VARIABLE_280967 BOUND_VARIABLE_280968))))) (let ((_let_18106 (forall ((BOUND_VARIABLE_280953 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280954 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280955 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280955)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280953) BOUND_VARIABLE_280954))) (ll_1864 BOUND_VARIABLE_280953 BOUND_VARIABLE_280954 BOUND_VARIABLE_280955))))) (let ((_let_18107 (forall ((BOUND_VARIABLE_280940 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280941 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280942 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280942)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280940) BOUND_VARIABLE_280941))) (ll_1863 BOUND_VARIABLE_280940 BOUND_VARIABLE_280941 BOUND_VARIABLE_280942))))) (let ((_let_18108 (forall ((BOUND_VARIABLE_280927 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280928 tptp.set_int) (BOUND_VARIABLE_280929 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280929)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280927) BOUND_VARIABLE_280928))) (ll_1862 BOUND_VARIABLE_280927 BOUND_VARIABLE_280928 BOUND_VARIABLE_280929))))) (let ((_let_18109 (forall ((BOUND_VARIABLE_280914 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280915 tptp.set_int) (BOUND_VARIABLE_280916 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280916)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280914) BOUND_VARIABLE_280915))) (ll_1861 BOUND_VARIABLE_280914 BOUND_VARIABLE_280915 BOUND_VARIABLE_280916))))) (let ((_let_18110 (forall ((BOUND_VARIABLE_280901 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280902 tptp.set_nat) (BOUND_VARIABLE_280903 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280903)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280901) BOUND_VARIABLE_280902))) (ll_1860 BOUND_VARIABLE_280901 BOUND_VARIABLE_280902 BOUND_VARIABLE_280903))))) (let ((_let_18111 (forall ((BOUND_VARIABLE_280888 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280889 tptp.set_nat) (BOUND_VARIABLE_280890 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280890)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280888) BOUND_VARIABLE_280889))) (ll_1859 BOUND_VARIABLE_280888 BOUND_VARIABLE_280889 BOUND_VARIABLE_280890))))) (let ((_let_18112 (forall ((BOUND_VARIABLE_280875 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280876 tptp.set_o) (BOUND_VARIABLE_280877 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280877)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280875) BOUND_VARIABLE_280876))) (ll_1858 BOUND_VARIABLE_280875 BOUND_VARIABLE_280876 BOUND_VARIABLE_280877))))) (let ((_let_18113 (forall ((BOUND_VARIABLE_280862 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280863 tptp.set_o) (BOUND_VARIABLE_280864 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280864)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280862) BOUND_VARIABLE_280863))) (ll_1857 BOUND_VARIABLE_280862 BOUND_VARIABLE_280863 BOUND_VARIABLE_280864))))) (let ((_let_18114 (forall ((BOUND_VARIABLE_280849 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280850 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280851 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280851)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280849) BOUND_VARIABLE_280850))) (ll_1856 BOUND_VARIABLE_280849 BOUND_VARIABLE_280850 BOUND_VARIABLE_280851))))) (let ((_let_18115 (forall ((BOUND_VARIABLE_280836 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280837 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280838 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280838)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280836) BOUND_VARIABLE_280837))) (ll_1855 BOUND_VARIABLE_280836 BOUND_VARIABLE_280837 BOUND_VARIABLE_280838))))) (let ((_let_18116 (forall ((BOUND_VARIABLE_280823 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280824 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280825 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280825)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280823) BOUND_VARIABLE_280824))) (ll_1854 BOUND_VARIABLE_280823 BOUND_VARIABLE_280824 BOUND_VARIABLE_280825))))) (let ((_let_18117 (forall ((BOUND_VARIABLE_280810 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280811 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280812 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280812)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280810) BOUND_VARIABLE_280811))) (ll_1853 BOUND_VARIABLE_280810 BOUND_VARIABLE_280811 BOUND_VARIABLE_280812))))) (let ((_let_18118 (forall ((BOUND_VARIABLE_280798 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_280799 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_280799)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_280798) tptp.bot_bo3957492148770167129t_unit))) (ll_1852 BOUND_VARIABLE_280798 BOUND_VARIABLE_280799))))) (let ((_let_18119 (forall ((BOUND_VARIABLE_280781 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280782 tptp.nat)) (= (ll_1851 BOUND_VARIABLE_280781 BOUND_VARIABLE_280782) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280782)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280781) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18120 (forall ((BOUND_VARIABLE_280769 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280770 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280770)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280769) tptp.bot_bot_set_o))) (ll_1850 BOUND_VARIABLE_280769 BOUND_VARIABLE_280770))))) (let ((_let_18121 (forall ((BOUND_VARIABLE_280757 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_280758 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280758)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_280757) tptp.bot_bo3957492148770167129t_unit))) (ll_1849 BOUND_VARIABLE_280757 BOUND_VARIABLE_280758))))) (let ((_let_18122 (forall ((BOUND_VARIABLE_280740 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_280741 Bool)) (= (ll_1848 BOUND_VARIABLE_280740 BOUND_VARIABLE_280741) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_280741)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_280740) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18123 (forall ((BOUND_VARIABLE_280728 (-> Bool tptp.set_o)) (BOUND_VARIABLE_280729 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_280729)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_280728) tptp.bot_bot_set_o))) (ll_1847 BOUND_VARIABLE_280728 BOUND_VARIABLE_280729))))) (let ((_let_18124 (forall ((BOUND_VARIABLE_280716 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_280717 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_280717)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_280716) tptp.bot_bo3957492148770167129t_unit))) (ll_1846 BOUND_VARIABLE_280716 BOUND_VARIABLE_280717))))) (let ((_let_18125 (forall ((BOUND_VARIABLE_280684 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280685 (-> tptp.int tptp.int)) (BOUND_VARIABLE_280686 tptp.set_int) (BOUND_VARIABLE_280687 tptp.nat)) (= (ll_1845 BOUND_VARIABLE_280684 BOUND_VARIABLE_280685 BOUND_VARIABLE_280686 BOUND_VARIABLE_280687) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280687)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3531 BOUND_VARIABLE_280684) BOUND_VARIABLE_280685)) BOUND_VARIABLE_280686))))))) (let ((_let_18126 (forall ((BOUND_VARIABLE_280668 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280669 (-> tptp.int tptp.int)) (BOUND_VARIABLE_280670 tptp.set_int) (BOUND_VARIABLE_280671 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280671)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280668) (@ (@ tptp.image_int_int BOUND_VARIABLE_280669) BOUND_VARIABLE_280670)))) (ll_1844 BOUND_VARIABLE_280668 BOUND_VARIABLE_280669 BOUND_VARIABLE_280670 BOUND_VARIABLE_280671))))) (let ((_let_18127 (forall ((BOUND_VARIABLE_280636 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280637 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_280638 tptp.set_int) (BOUND_VARIABLE_280639 tptp.nat)) (= (ll_1843 BOUND_VARIABLE_280636 BOUND_VARIABLE_280637 BOUND_VARIABLE_280638 BOUND_VARIABLE_280639) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280639)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3530 BOUND_VARIABLE_280636) BOUND_VARIABLE_280637)) BOUND_VARIABLE_280638))))))) (let ((_let_18128 (forall ((BOUND_VARIABLE_280620 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280621 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_280622 tptp.set_int) (BOUND_VARIABLE_280623 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280623)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280620) (@ (@ tptp.image_int_nat BOUND_VARIABLE_280621) BOUND_VARIABLE_280622)))) (ll_1842 BOUND_VARIABLE_280620 BOUND_VARIABLE_280621 BOUND_VARIABLE_280622 BOUND_VARIABLE_280623))))) (let ((_let_18129 (forall ((BOUND_VARIABLE_280588 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280589 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_280590 tptp.set_nat) (BOUND_VARIABLE_280591 tptp.nat)) (= (ll_1841 BOUND_VARIABLE_280588 BOUND_VARIABLE_280589 BOUND_VARIABLE_280590 BOUND_VARIABLE_280591) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280591)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3529 BOUND_VARIABLE_280588) BOUND_VARIABLE_280589)) BOUND_VARIABLE_280590))))))) (let ((_let_18130 (forall ((BOUND_VARIABLE_280572 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280573 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_280574 tptp.set_nat) (BOUND_VARIABLE_280575 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280575)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280572) (@ (@ tptp.image_nat_int BOUND_VARIABLE_280573) BOUND_VARIABLE_280574)))) (ll_1840 BOUND_VARIABLE_280572 BOUND_VARIABLE_280573 BOUND_VARIABLE_280574 BOUND_VARIABLE_280575))))) (let ((_let_18131 (forall ((BOUND_VARIABLE_280540 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280541 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_280542 tptp.set_nat) (BOUND_VARIABLE_280543 tptp.nat)) (= (ll_1839 BOUND_VARIABLE_280540 BOUND_VARIABLE_280541 BOUND_VARIABLE_280542 BOUND_VARIABLE_280543) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280543)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3528 BOUND_VARIABLE_280540) BOUND_VARIABLE_280541)) BOUND_VARIABLE_280542))))))) (let ((_let_18132 (forall ((BOUND_VARIABLE_280524 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280525 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_280526 tptp.set_nat) (BOUND_VARIABLE_280527 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280527)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280524) (@ (@ tptp.image_nat_nat BOUND_VARIABLE_280525) BOUND_VARIABLE_280526)))) (ll_1838 BOUND_VARIABLE_280524 BOUND_VARIABLE_280525 BOUND_VARIABLE_280526 BOUND_VARIABLE_280527))))) (let ((_let_18133 (forall ((BOUND_VARIABLE_280492 (-> tptp.rat tptp.set_nat)) (BOUND_VARIABLE_280493 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_280494 tptp.set_nat) (BOUND_VARIABLE_280495 tptp.nat)) (= (ll_1837 BOUND_VARIABLE_280492 BOUND_VARIABLE_280493 BOUND_VARIABLE_280494 BOUND_VARIABLE_280495) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280495)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3527 BOUND_VARIABLE_280492) BOUND_VARIABLE_280493)) BOUND_VARIABLE_280494))))))) (let ((_let_18134 (forall ((BOUND_VARIABLE_280476 (-> tptp.rat tptp.set_nat)) (BOUND_VARIABLE_280477 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_280478 tptp.set_nat) (BOUND_VARIABLE_280479 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280479)) (@ (@ tptp.image_rat_set_nat BOUND_VARIABLE_280476) (@ (@ tptp.image_nat_rat BOUND_VARIABLE_280477) BOUND_VARIABLE_280478)))) (ll_1836 BOUND_VARIABLE_280476 BOUND_VARIABLE_280477 BOUND_VARIABLE_280478 BOUND_VARIABLE_280479))))) (let ((_let_18135 (forall ((BOUND_VARIABLE_280470 tptp.nat) (BOUND_VARIABLE_280471 Bool)) (= BOUND_VARIABLE_280470 (ll_1835 BOUND_VARIABLE_280470 BOUND_VARIABLE_280471))))) (let ((_let_18136 (forall ((BOUND_VARIABLE_280464 Bool) (BOUND_VARIABLE_280465 tptp.int)) (= BOUND_VARIABLE_280464 (ll_1834 BOUND_VARIABLE_280464 BOUND_VARIABLE_280465))))) (let ((_let_18137 (forall ((BOUND_VARIABLE_280458 Bool) (BOUND_VARIABLE_280459 tptp.nat)) (= BOUND_VARIABLE_280458 (ll_1833 BOUND_VARIABLE_280458 BOUND_VARIABLE_280459))))) (let ((_let_18138 (forall ((BOUND_VARIABLE_280452 Bool) (BOUND_VARIABLE_280453 Bool)) (= BOUND_VARIABLE_280452 (ll_1832 BOUND_VARIABLE_280452 BOUND_VARIABLE_280453))))) (let ((_let_18139 (forall ((BOUND_VARIABLE_280446 tptp.product_unit) (BOUND_VARIABLE_280447 tptp.int)) (= BOUND_VARIABLE_280446 (ll_1831 BOUND_VARIABLE_280446 BOUND_VARIABLE_280447))))) (let ((_let_18140 (forall ((BOUND_VARIABLE_280440 tptp.product_unit) (BOUND_VARIABLE_280441 tptp.nat)) (= BOUND_VARIABLE_280440 (ll_1830 BOUND_VARIABLE_280440 BOUND_VARIABLE_280441))))) (let ((_let_18141 (forall ((BOUND_VARIABLE_280434 tptp.product_unit) (BOUND_VARIABLE_280435 Bool)) (= BOUND_VARIABLE_280434 (ll_1829 BOUND_VARIABLE_280434 BOUND_VARIABLE_280435))))) (let ((_let_18142 (forall ((BOUND_VARIABLE_280428 tptp.int) (BOUND_VARIABLE_280429 tptp.int)) (= BOUND_VARIABLE_280428 (ll_1828 BOUND_VARIABLE_280428 BOUND_VARIABLE_280429))))) (let ((_let_18143 (forall ((BOUND_VARIABLE_280422 tptp.int) (BOUND_VARIABLE_280423 tptp.nat)) (= BOUND_VARIABLE_280422 (ll_1827 BOUND_VARIABLE_280422 BOUND_VARIABLE_280423))))) (let ((_let_18144 (forall ((BOUND_VARIABLE_280416 tptp.rat) (BOUND_VARIABLE_280417 tptp.nat)) (= BOUND_VARIABLE_280416 (ll_1826 BOUND_VARIABLE_280416 BOUND_VARIABLE_280417))))) (let ((_let_18145 (forall ((BOUND_VARIABLE_280410 tptp.int) (BOUND_VARIABLE_280411 tptp.nat)) (= BOUND_VARIABLE_280410 (ll_1825 BOUND_VARIABLE_280410 BOUND_VARIABLE_280411))))) (let ((_let_18146 (forall ((BOUND_VARIABLE_280404 tptp.int) (BOUND_VARIABLE_280405 tptp.nat)) (= BOUND_VARIABLE_280404 (ll_1824 BOUND_VARIABLE_280404 BOUND_VARIABLE_280405))))) (let ((_let_18147 (forall ((BOUND_VARIABLE_280398 tptp.rat) (BOUND_VARIABLE_280399 tptp.nat)) (= BOUND_VARIABLE_280398 (ll_1823 BOUND_VARIABLE_280398 BOUND_VARIABLE_280399))))) (let ((_let_18148 (forall ((BOUND_VARIABLE_280392 tptp.rat) (BOUND_VARIABLE_280393 tptp.nat)) (= BOUND_VARIABLE_280392 (ll_1822 BOUND_VARIABLE_280392 BOUND_VARIABLE_280393))))) (let ((_let_18149 (forall ((BOUND_VARIABLE_280386 tptp.nat) (BOUND_VARIABLE_280387 Bool)) (= BOUND_VARIABLE_280386 (ll_1821 BOUND_VARIABLE_280386 BOUND_VARIABLE_280387))))) (let ((_let_18150 (forall ((BOUND_VARIABLE_280380 tptp.nat) (BOUND_VARIABLE_280381 Bool)) (= BOUND_VARIABLE_280380 (ll_1820 BOUND_VARIABLE_280380 BOUND_VARIABLE_280381))))) (let ((_let_18151 (forall ((BOUND_VARIABLE_280374 Bool) (BOUND_VARIABLE_280375 Bool)) (= BOUND_VARIABLE_280374 (ll_1819 BOUND_VARIABLE_280374 BOUND_VARIABLE_280375))))) (let ((_let_18152 (forall ((BOUND_VARIABLE_280368 Bool) (BOUND_VARIABLE_280369 Bool)) (= BOUND_VARIABLE_280368 (ll_1818 BOUND_VARIABLE_280368 BOUND_VARIABLE_280369))))) (let ((_let_18153 (forall ((BOUND_VARIABLE_280362 tptp.product_unit) (BOUND_VARIABLE_280363 Bool)) (= BOUND_VARIABLE_280362 (ll_1817 BOUND_VARIABLE_280362 BOUND_VARIABLE_280363))))) (let ((_let_18154 (forall ((BOUND_VARIABLE_280356 tptp.product_unit) (BOUND_VARIABLE_280357 Bool)) (= BOUND_VARIABLE_280356 (ll_1816 BOUND_VARIABLE_280356 BOUND_VARIABLE_280357))))) (let ((_let_18155 (forall ((BOUND_VARIABLE_280350 tptp.nat) (BOUND_VARIABLE_280351 tptp.product_unit)) (= BOUND_VARIABLE_280350 (ll_1815 BOUND_VARIABLE_280350 BOUND_VARIABLE_280351))))) (let ((_let_18156 (forall ((BOUND_VARIABLE_280344 tptp.nat) (BOUND_VARIABLE_280345 tptp.product_unit)) (= BOUND_VARIABLE_280344 (ll_1814 BOUND_VARIABLE_280344 BOUND_VARIABLE_280345))))) (let ((_let_18157 (forall ((BOUND_VARIABLE_280338 Bool) (BOUND_VARIABLE_280339 tptp.product_unit)) (= BOUND_VARIABLE_280338 (ll_1813 BOUND_VARIABLE_280338 BOUND_VARIABLE_280339))))) (let ((_let_18158 (forall ((BOUND_VARIABLE_280332 Bool) (BOUND_VARIABLE_280333 tptp.product_unit)) (= BOUND_VARIABLE_280332 (ll_1812 BOUND_VARIABLE_280332 BOUND_VARIABLE_280333))))) (let ((_let_18159 (forall ((BOUND_VARIABLE_280326 tptp.product_unit) (BOUND_VARIABLE_280327 tptp.product_unit)) (= BOUND_VARIABLE_280326 (ll_1811 BOUND_VARIABLE_280326 BOUND_VARIABLE_280327))))) (let ((_let_18160 (forall ((BOUND_VARIABLE_280320 tptp.product_unit) (BOUND_VARIABLE_280321 tptp.product_unit)) (= BOUND_VARIABLE_280320 (ll_1810 BOUND_VARIABLE_280320 BOUND_VARIABLE_280321))))) (let ((_let_18161 (forall ((BOUND_VARIABLE_280314 tptp.nat) (BOUND_VARIABLE_280315 tptp.int)) (= BOUND_VARIABLE_280314 (ll_1809 BOUND_VARIABLE_280314 BOUND_VARIABLE_280315))))) (let ((_let_18162 (forall ((BOUND_VARIABLE_280308 tptp.nat) (BOUND_VARIABLE_280309 tptp.int)) (= BOUND_VARIABLE_280308 (ll_1808 BOUND_VARIABLE_280308 BOUND_VARIABLE_280309))))) (let ((_let_18163 (forall ((BOUND_VARIABLE_280302 tptp.int) (BOUND_VARIABLE_280303 tptp.int)) (= BOUND_VARIABLE_280302 (ll_1807 BOUND_VARIABLE_280302 BOUND_VARIABLE_280303))))) (let ((_let_18164 (forall ((BOUND_VARIABLE_280296 tptp.int) (BOUND_VARIABLE_280297 tptp.int)) (= BOUND_VARIABLE_280296 (ll_1806 BOUND_VARIABLE_280296 BOUND_VARIABLE_280297))))) (let ((_let_18165 (forall ((BOUND_VARIABLE_280283 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280284 tptp.set_int) (BOUND_VARIABLE_280285 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280285)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280283) BOUND_VARIABLE_280284))) (ll_1805 BOUND_VARIABLE_280283 BOUND_VARIABLE_280284 BOUND_VARIABLE_280285))))) (let ((_let_18166 (forall ((BOUND_VARIABLE_280270 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280271 tptp.set_int) (BOUND_VARIABLE_280272 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280272)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280270) BOUND_VARIABLE_280271))) (ll_1804 BOUND_VARIABLE_280270 BOUND_VARIABLE_280271 BOUND_VARIABLE_280272))))) (let ((_let_18167 (forall ((BOUND_VARIABLE_280257 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280258 tptp.set_nat) (BOUND_VARIABLE_280259 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280259)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280257) BOUND_VARIABLE_280258))) (ll_1803 BOUND_VARIABLE_280257 BOUND_VARIABLE_280258 BOUND_VARIABLE_280259))))) (let ((_let_18168 (forall ((BOUND_VARIABLE_280244 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280245 tptp.set_nat) (BOUND_VARIABLE_280246 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280246)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280244) BOUND_VARIABLE_280245))) (ll_1802 BOUND_VARIABLE_280244 BOUND_VARIABLE_280245 BOUND_VARIABLE_280246))))) (let ((_let_18169 (forall ((BOUND_VARIABLE_280231 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280232 tptp.set_o) (BOUND_VARIABLE_280233 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280233)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280231) BOUND_VARIABLE_280232))) (ll_1801 BOUND_VARIABLE_280231 BOUND_VARIABLE_280232 BOUND_VARIABLE_280233))))) (let ((_let_18170 (forall ((BOUND_VARIABLE_280218 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280219 tptp.set_o) (BOUND_VARIABLE_280220 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280220)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280218) BOUND_VARIABLE_280219))) (ll_1800 BOUND_VARIABLE_280218 BOUND_VARIABLE_280219 BOUND_VARIABLE_280220))))) (let ((_let_18171 (forall ((BOUND_VARIABLE_280205 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280206 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280207 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280207)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280205) BOUND_VARIABLE_280206))) (ll_1799 BOUND_VARIABLE_280205 BOUND_VARIABLE_280206 BOUND_VARIABLE_280207))))) (let ((_let_18172 (forall ((BOUND_VARIABLE_280192 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280193 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280194 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280194)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280192) BOUND_VARIABLE_280193))) (ll_1798 BOUND_VARIABLE_280192 BOUND_VARIABLE_280193 BOUND_VARIABLE_280194))))) (let ((_let_18173 (forall ((BOUND_VARIABLE_280179 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280180 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280181 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280181)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280179) BOUND_VARIABLE_280180))) (ll_1797 BOUND_VARIABLE_280179 BOUND_VARIABLE_280180 BOUND_VARIABLE_280181))))) (let ((_let_18174 (forall ((BOUND_VARIABLE_280166 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280167 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280168 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280168)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280166) BOUND_VARIABLE_280167))) (ll_1796 BOUND_VARIABLE_280166 BOUND_VARIABLE_280167 BOUND_VARIABLE_280168))))) (let ((_let_18175 (forall ((BOUND_VARIABLE_280153 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280154 tptp.set_int) (BOUND_VARIABLE_280155 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280155)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280153) BOUND_VARIABLE_280154))) (ll_1795 BOUND_VARIABLE_280153 BOUND_VARIABLE_280154 BOUND_VARIABLE_280155))))) (let ((_let_18176 (forall ((BOUND_VARIABLE_280140 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280141 tptp.set_nat) (BOUND_VARIABLE_280142 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280142)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280140) BOUND_VARIABLE_280141))) (ll_1794 BOUND_VARIABLE_280140 BOUND_VARIABLE_280141 BOUND_VARIABLE_280142))))) (let ((_let_18177 (forall ((BOUND_VARIABLE_280127 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280128 tptp.set_o) (BOUND_VARIABLE_280129 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280129)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280127) BOUND_VARIABLE_280128))) (ll_1793 BOUND_VARIABLE_280127 BOUND_VARIABLE_280128 BOUND_VARIABLE_280129))))) (let ((_let_18178 (forall ((BOUND_VARIABLE_280114 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280115 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280116 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280116)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280114) BOUND_VARIABLE_280115))) (ll_1792 BOUND_VARIABLE_280114 BOUND_VARIABLE_280115 BOUND_VARIABLE_280116))))) (let ((_let_18179 (forall ((BOUND_VARIABLE_280101 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280102 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280103 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280103)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280101) BOUND_VARIABLE_280102))) (ll_1791 BOUND_VARIABLE_280101 BOUND_VARIABLE_280102 BOUND_VARIABLE_280103))))) (let ((_let_18180 (forall ((BOUND_VARIABLE_280088 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280089 tptp.set_int) (BOUND_VARIABLE_280090 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280090)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_280088) BOUND_VARIABLE_280089))) (ll_1790 BOUND_VARIABLE_280088 BOUND_VARIABLE_280089 BOUND_VARIABLE_280090))))) (let ((_let_18181 (forall ((BOUND_VARIABLE_280075 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_280076 tptp.set_nat) (BOUND_VARIABLE_280077 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280077)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_280075) BOUND_VARIABLE_280076))) (ll_1789 BOUND_VARIABLE_280075 BOUND_VARIABLE_280076 BOUND_VARIABLE_280077))))) (let ((_let_18182 (forall ((BOUND_VARIABLE_280062 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_280063 tptp.set_o) (BOUND_VARIABLE_280064 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280064)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_280062) BOUND_VARIABLE_280063))) (ll_1788 BOUND_VARIABLE_280062 BOUND_VARIABLE_280063 BOUND_VARIABLE_280064))))) (let ((_let_18183 (forall ((BOUND_VARIABLE_280049 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_280050 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_280051 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280051)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_280049) BOUND_VARIABLE_280050))) (ll_1787 BOUND_VARIABLE_280049 BOUND_VARIABLE_280050 BOUND_VARIABLE_280051))))) (let ((_let_18184 (forall ((BOUND_VARIABLE_280036 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_280037 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_280038 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280038)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_280036) BOUND_VARIABLE_280037))) (ll_1786 BOUND_VARIABLE_280036 BOUND_VARIABLE_280037 BOUND_VARIABLE_280038))))) (let ((_let_18185 (forall ((BOUND_VARIABLE_280004 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_280005 (-> tptp.int tptp.int)) (BOUND_VARIABLE_280006 tptp.set_int) (BOUND_VARIABLE_280007 tptp.nat)) (= (ll_1785 BOUND_VARIABLE_280004 BOUND_VARIABLE_280005 BOUND_VARIABLE_280006 BOUND_VARIABLE_280007) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_280007)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3526 BOUND_VARIABLE_280004) BOUND_VARIABLE_280005)) BOUND_VARIABLE_280006))))))) (let ((_let_18186 (forall ((BOUND_VARIABLE_279988 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279989 (-> tptp.int tptp.int)) (BOUND_VARIABLE_279990 tptp.set_int) (BOUND_VARIABLE_279991 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279991)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279988) (@ (@ tptp.image_int_int BOUND_VARIABLE_279989) BOUND_VARIABLE_279990)))) (ll_1784 BOUND_VARIABLE_279988 BOUND_VARIABLE_279989 BOUND_VARIABLE_279990 BOUND_VARIABLE_279991))))) (let ((_let_18187 (forall ((BOUND_VARIABLE_279956 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279957 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_279958 tptp.set_int) (BOUND_VARIABLE_279959 tptp.nat)) (= (ll_1783 BOUND_VARIABLE_279956 BOUND_VARIABLE_279957 BOUND_VARIABLE_279958 BOUND_VARIABLE_279959) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279959)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3525 BOUND_VARIABLE_279956) BOUND_VARIABLE_279957)) BOUND_VARIABLE_279958))))))) (let ((_let_18188 (forall ((BOUND_VARIABLE_279940 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279941 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_279942 tptp.set_int) (BOUND_VARIABLE_279943 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279943)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279940) (@ (@ tptp.image_int_nat BOUND_VARIABLE_279941) BOUND_VARIABLE_279942)))) (ll_1782 BOUND_VARIABLE_279940 BOUND_VARIABLE_279941 BOUND_VARIABLE_279942 BOUND_VARIABLE_279943))))) (let ((_let_18189 (forall ((BOUND_VARIABLE_279907 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279908 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_279909 tptp.set_nat) (BOUND_VARIABLE_279910 tptp.nat)) (= (ll_1781 BOUND_VARIABLE_279907 BOUND_VARIABLE_279908 BOUND_VARIABLE_279909 BOUND_VARIABLE_279910) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279910)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3524 BOUND_VARIABLE_279907) BOUND_VARIABLE_279908)) BOUND_VARIABLE_279909))))))) (let ((_let_18190 (forall ((BOUND_VARIABLE_279891 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279892 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_279893 tptp.set_nat) (BOUND_VARIABLE_279894 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279894)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279891) (@ (@ tptp.image_nat_int BOUND_VARIABLE_279892) BOUND_VARIABLE_279893)))) (ll_1780 BOUND_VARIABLE_279891 BOUND_VARIABLE_279892 BOUND_VARIABLE_279893 BOUND_VARIABLE_279894))))) (let ((_let_18191 (forall ((BOUND_VARIABLE_279859 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279860 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_279861 tptp.set_nat) (BOUND_VARIABLE_279862 tptp.nat)) (= (ll_1779 BOUND_VARIABLE_279859 BOUND_VARIABLE_279860 BOUND_VARIABLE_279861 BOUND_VARIABLE_279862) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279862)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3523 BOUND_VARIABLE_279859) BOUND_VARIABLE_279860)) BOUND_VARIABLE_279861))))))) (let ((_let_18192 (forall ((BOUND_VARIABLE_279843 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279844 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_279845 tptp.set_nat) (BOUND_VARIABLE_279846 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279846)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279843) (@ (@ tptp.image_nat_nat BOUND_VARIABLE_279844) BOUND_VARIABLE_279845)))) (ll_1778 BOUND_VARIABLE_279843 BOUND_VARIABLE_279844 BOUND_VARIABLE_279845 BOUND_VARIABLE_279846))))) (let ((_let_18193 (forall ((BOUND_VARIABLE_279810 (-> tptp.rat tptp.set_nat)) (BOUND_VARIABLE_279811 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_279812 tptp.set_nat) (BOUND_VARIABLE_279813 tptp.nat)) (= (ll_1777 BOUND_VARIABLE_279810 BOUND_VARIABLE_279811 BOUND_VARIABLE_279812 BOUND_VARIABLE_279813) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279813)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3522 BOUND_VARIABLE_279810) BOUND_VARIABLE_279811)) BOUND_VARIABLE_279812))))))) (let ((_let_18194 (forall ((BOUND_VARIABLE_279794 (-> tptp.rat tptp.set_nat)) (BOUND_VARIABLE_279795 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_279796 tptp.set_nat) (BOUND_VARIABLE_279797 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279797)) (@ (@ tptp.image_rat_set_nat BOUND_VARIABLE_279794) (@ (@ tptp.image_nat_rat BOUND_VARIABLE_279795) BOUND_VARIABLE_279796)))) (ll_1776 BOUND_VARIABLE_279794 BOUND_VARIABLE_279795 BOUND_VARIABLE_279796 BOUND_VARIABLE_279797))))) (let ((_let_18195 (forall ((BOUND_VARIABLE_279781 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279782 tptp.set_int) (BOUND_VARIABLE_279783 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279783)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279781) BOUND_VARIABLE_279782))) (ll_1775 BOUND_VARIABLE_279781 BOUND_VARIABLE_279782 BOUND_VARIABLE_279783))))) (let ((_let_18196 (forall ((BOUND_VARIABLE_279768 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279769 tptp.set_nat) (BOUND_VARIABLE_279770 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279770)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279768) BOUND_VARIABLE_279769))) (ll_1774 BOUND_VARIABLE_279768 BOUND_VARIABLE_279769 BOUND_VARIABLE_279770))))) (let ((_let_18197 (forall ((BOUND_VARIABLE_279755 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279756 tptp.set_o) (BOUND_VARIABLE_279757 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279757)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279755) BOUND_VARIABLE_279756))) (ll_1773 BOUND_VARIABLE_279755 BOUND_VARIABLE_279756 BOUND_VARIABLE_279757))))) (let ((_let_18198 (forall ((BOUND_VARIABLE_279742 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279743 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279744 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279744)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279742) BOUND_VARIABLE_279743))) (ll_1772 BOUND_VARIABLE_279742 BOUND_VARIABLE_279743 BOUND_VARIABLE_279744))))) (let ((_let_18199 (forall ((BOUND_VARIABLE_279729 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279730 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279731 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279731)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279729) BOUND_VARIABLE_279730))) (ll_1771 BOUND_VARIABLE_279729 BOUND_VARIABLE_279730 BOUND_VARIABLE_279731))))) (let ((_let_18200 (forall ((BOUND_VARIABLE_279716 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279717 tptp.set_int) (BOUND_VARIABLE_279718 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279718)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279716) BOUND_VARIABLE_279717))) (ll_1770 BOUND_VARIABLE_279716 BOUND_VARIABLE_279717 BOUND_VARIABLE_279718))))) (let ((_let_18201 (forall ((BOUND_VARIABLE_279703 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279704 tptp.set_nat) (BOUND_VARIABLE_279705 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279705)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279703) BOUND_VARIABLE_279704))) (ll_1769 BOUND_VARIABLE_279703 BOUND_VARIABLE_279704 BOUND_VARIABLE_279705))))) (let ((_let_18202 (forall ((BOUND_VARIABLE_279690 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279691 tptp.set_o) (BOUND_VARIABLE_279692 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279692)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279690) BOUND_VARIABLE_279691))) (ll_1768 BOUND_VARIABLE_279690 BOUND_VARIABLE_279691 BOUND_VARIABLE_279692))))) (let ((_let_18203 (forall ((BOUND_VARIABLE_279677 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279678 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279679 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279679)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279677) BOUND_VARIABLE_279678))) (ll_1767 BOUND_VARIABLE_279677 BOUND_VARIABLE_279678 BOUND_VARIABLE_279679))))) (let ((_let_18204 (forall ((BOUND_VARIABLE_279664 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279665 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279666 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279666)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279664) BOUND_VARIABLE_279665))) (ll_1766 BOUND_VARIABLE_279664 BOUND_VARIABLE_279665 BOUND_VARIABLE_279666))))) (let ((_let_18205 (forall ((BOUND_VARIABLE_279651 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279652 tptp.set_int) (BOUND_VARIABLE_279653 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279653)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279651) BOUND_VARIABLE_279652))) (ll_1765 BOUND_VARIABLE_279651 BOUND_VARIABLE_279652 BOUND_VARIABLE_279653))))) (let ((_let_18206 (forall ((BOUND_VARIABLE_279638 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279639 tptp.set_nat) (BOUND_VARIABLE_279640 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279640)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279638) BOUND_VARIABLE_279639))) (ll_1764 BOUND_VARIABLE_279638 BOUND_VARIABLE_279639 BOUND_VARIABLE_279640))))) (let ((_let_18207 (forall ((BOUND_VARIABLE_279625 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279626 tptp.set_o) (BOUND_VARIABLE_279627 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279627)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279625) BOUND_VARIABLE_279626))) (ll_1763 BOUND_VARIABLE_279625 BOUND_VARIABLE_279626 BOUND_VARIABLE_279627))))) (let ((_let_18208 (forall ((BOUND_VARIABLE_279612 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279613 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279614 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279614)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279612) BOUND_VARIABLE_279613))) (ll_1762 BOUND_VARIABLE_279612 BOUND_VARIABLE_279613 BOUND_VARIABLE_279614))))) (let ((_let_18209 (forall ((BOUND_VARIABLE_279599 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279600 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279601 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279601)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279599) BOUND_VARIABLE_279600))) (ll_1761 BOUND_VARIABLE_279599 BOUND_VARIABLE_279600 BOUND_VARIABLE_279601))))) (let ((_let_18210 (forall ((BOUND_VARIABLE_279586 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279587 tptp.set_int) (BOUND_VARIABLE_279588 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279588)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279586) BOUND_VARIABLE_279587))) (ll_1760 BOUND_VARIABLE_279586 BOUND_VARIABLE_279587 BOUND_VARIABLE_279588))))) (let ((_let_18211 (forall ((BOUND_VARIABLE_279573 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279574 tptp.set_nat) (BOUND_VARIABLE_279575 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279575)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279573) BOUND_VARIABLE_279574))) (ll_1759 BOUND_VARIABLE_279573 BOUND_VARIABLE_279574 BOUND_VARIABLE_279575))))) (let ((_let_18212 (forall ((BOUND_VARIABLE_279560 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279561 tptp.set_o) (BOUND_VARIABLE_279562 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279562)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279560) BOUND_VARIABLE_279561))) (ll_1758 BOUND_VARIABLE_279560 BOUND_VARIABLE_279561 BOUND_VARIABLE_279562))))) (let ((_let_18213 (forall ((BOUND_VARIABLE_279547 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279548 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279549 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279549)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279547) BOUND_VARIABLE_279548))) (ll_1757 BOUND_VARIABLE_279547 BOUND_VARIABLE_279548 BOUND_VARIABLE_279549))))) (let ((_let_18214 (forall ((BOUND_VARIABLE_279534 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279535 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279536 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279536)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279534) BOUND_VARIABLE_279535))) (ll_1756 BOUND_VARIABLE_279534 BOUND_VARIABLE_279535 BOUND_VARIABLE_279536))))) (let ((_let_18215 (forall ((BOUND_VARIABLE_279521 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279522 tptp.set_int) (BOUND_VARIABLE_279523 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279523)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279521) BOUND_VARIABLE_279522))) (ll_1755 BOUND_VARIABLE_279521 BOUND_VARIABLE_279522 BOUND_VARIABLE_279523))))) (let ((_let_18216 (forall ((BOUND_VARIABLE_279508 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279509 tptp.set_nat) (BOUND_VARIABLE_279510 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279510)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279508) BOUND_VARIABLE_279509))) (ll_1754 BOUND_VARIABLE_279508 BOUND_VARIABLE_279509 BOUND_VARIABLE_279510))))) (let ((_let_18217 (forall ((BOUND_VARIABLE_279495 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279496 tptp.set_o) (BOUND_VARIABLE_279497 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279497)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279495) BOUND_VARIABLE_279496))) (ll_1753 BOUND_VARIABLE_279495 BOUND_VARIABLE_279496 BOUND_VARIABLE_279497))))) (let ((_let_18218 (forall ((BOUND_VARIABLE_279482 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279483 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279484 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279484)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279482) BOUND_VARIABLE_279483))) (ll_1752 BOUND_VARIABLE_279482 BOUND_VARIABLE_279483 BOUND_VARIABLE_279484))))) (let ((_let_18219 (forall ((BOUND_VARIABLE_279469 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279470 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279471 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279471)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279469) BOUND_VARIABLE_279470))) (ll_1751 BOUND_VARIABLE_279469 BOUND_VARIABLE_279470 BOUND_VARIABLE_279471))))) (let ((_let_18220 (forall ((BOUND_VARIABLE_279456 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279457 tptp.set_int) (BOUND_VARIABLE_279458 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279458)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279456) BOUND_VARIABLE_279457))) (ll_1750 BOUND_VARIABLE_279456 BOUND_VARIABLE_279457 BOUND_VARIABLE_279458))))) (let ((_let_18221 (forall ((BOUND_VARIABLE_279443 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279444 tptp.set_nat) (BOUND_VARIABLE_279445 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279445)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279443) BOUND_VARIABLE_279444))) (ll_1749 BOUND_VARIABLE_279443 BOUND_VARIABLE_279444 BOUND_VARIABLE_279445))))) (let ((_let_18222 (forall ((BOUND_VARIABLE_279430 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279431 tptp.set_o) (BOUND_VARIABLE_279432 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279432)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279430) BOUND_VARIABLE_279431))) (ll_1748 BOUND_VARIABLE_279430 BOUND_VARIABLE_279431 BOUND_VARIABLE_279432))))) (let ((_let_18223 (forall ((BOUND_VARIABLE_279417 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279418 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279419 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279419)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279417) BOUND_VARIABLE_279418))) (ll_1747 BOUND_VARIABLE_279417 BOUND_VARIABLE_279418 BOUND_VARIABLE_279419))))) (let ((_let_18224 (forall ((BOUND_VARIABLE_279404 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279405 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279406 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279406)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279404) BOUND_VARIABLE_279405))) (ll_1746 BOUND_VARIABLE_279404 BOUND_VARIABLE_279405 BOUND_VARIABLE_279406))))) (let ((_let_18225 (forall ((BOUND_VARIABLE_279391 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279392 tptp.set_int) (BOUND_VARIABLE_279393 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279393)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279391) BOUND_VARIABLE_279392))) (ll_1745 BOUND_VARIABLE_279391 BOUND_VARIABLE_279392 BOUND_VARIABLE_279393))))) (let ((_let_18226 (forall ((BOUND_VARIABLE_279378 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279379 tptp.set_nat) (BOUND_VARIABLE_279380 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279380)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279378) BOUND_VARIABLE_279379))) (ll_1744 BOUND_VARIABLE_279378 BOUND_VARIABLE_279379 BOUND_VARIABLE_279380))))) (let ((_let_18227 (forall ((BOUND_VARIABLE_279365 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279366 tptp.set_o) (BOUND_VARIABLE_279367 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279367)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279365) BOUND_VARIABLE_279366))) (ll_1743 BOUND_VARIABLE_279365 BOUND_VARIABLE_279366 BOUND_VARIABLE_279367))))) (let ((_let_18228 (forall ((BOUND_VARIABLE_279352 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279353 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279354 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279354)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279352) BOUND_VARIABLE_279353))) (ll_1742 BOUND_VARIABLE_279352 BOUND_VARIABLE_279353 BOUND_VARIABLE_279354))))) (let ((_let_18229 (forall ((BOUND_VARIABLE_279339 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279340 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279341 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279341)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279339) BOUND_VARIABLE_279340))) (ll_1741 BOUND_VARIABLE_279339 BOUND_VARIABLE_279340 BOUND_VARIABLE_279341))))) (let ((_let_18230 (forall ((BOUND_VARIABLE_279326 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279327 tptp.set_int) (BOUND_VARIABLE_279328 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279328)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279326) BOUND_VARIABLE_279327))) (ll_1740 BOUND_VARIABLE_279326 BOUND_VARIABLE_279327 BOUND_VARIABLE_279328))))) (let ((_let_18231 (forall ((BOUND_VARIABLE_279313 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279314 tptp.set_nat) (BOUND_VARIABLE_279315 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279315)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279313) BOUND_VARIABLE_279314))) (ll_1739 BOUND_VARIABLE_279313 BOUND_VARIABLE_279314 BOUND_VARIABLE_279315))))) (let ((_let_18232 (forall ((BOUND_VARIABLE_279300 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279301 tptp.set_o) (BOUND_VARIABLE_279302 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279302)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279300) BOUND_VARIABLE_279301))) (ll_1738 BOUND_VARIABLE_279300 BOUND_VARIABLE_279301 BOUND_VARIABLE_279302))))) (let ((_let_18233 (forall ((BOUND_VARIABLE_279287 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279288 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279289 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279289)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279287) BOUND_VARIABLE_279288))) (ll_1737 BOUND_VARIABLE_279287 BOUND_VARIABLE_279288 BOUND_VARIABLE_279289))))) (let ((_let_18234 (forall ((BOUND_VARIABLE_279274 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_279275 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_279276 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279276)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_279274) BOUND_VARIABLE_279275))) (ll_1736 BOUND_VARIABLE_279274 BOUND_VARIABLE_279275 BOUND_VARIABLE_279276))))) (let ((_let_18235 (forall ((BOUND_VARIABLE_279265 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_279266 (-> tptp.int tptp.int)) (BOUND_VARIABLE_279267 tptp.int)) (= (@ BOUND_VARIABLE_279265 (@ BOUND_VARIABLE_279266 BOUND_VARIABLE_279267)) (ll_1735 BOUND_VARIABLE_279265 BOUND_VARIABLE_279266 BOUND_VARIABLE_279267))))) (let ((_let_18236 (forall ((BOUND_VARIABLE_279256 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_279257 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_279258 tptp.nat)) (= (@ BOUND_VARIABLE_279256 (@ BOUND_VARIABLE_279257 BOUND_VARIABLE_279258)) (ll_1734 BOUND_VARIABLE_279256 BOUND_VARIABLE_279257 BOUND_VARIABLE_279258))))) (let ((_let_18237 (forall ((BOUND_VARIABLE_279247 (-> Bool Bool)) (BOUND_VARIABLE_279248 (-> tptp.nat Bool)) (BOUND_VARIABLE_279249 tptp.nat)) (= (@ BOUND_VARIABLE_279247 (@ BOUND_VARIABLE_279248 BOUND_VARIABLE_279249)) (ll_1733 BOUND_VARIABLE_279247 BOUND_VARIABLE_279248 BOUND_VARIABLE_279249))))) (let ((_let_18238 (forall ((BOUND_VARIABLE_279238 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_279239 (-> tptp.int tptp.int)) (BOUND_VARIABLE_279240 tptp.int)) (= (@ BOUND_VARIABLE_279238 (@ BOUND_VARIABLE_279239 BOUND_VARIABLE_279240)) (ll_1732 BOUND_VARIABLE_279238 BOUND_VARIABLE_279239 BOUND_VARIABLE_279240))))) (let ((_let_18239 (forall ((BOUND_VARIABLE_279229 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_279230 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_279231 tptp.nat)) (= (@ BOUND_VARIABLE_279229 (@ BOUND_VARIABLE_279230 BOUND_VARIABLE_279231)) (ll_1731 BOUND_VARIABLE_279229 BOUND_VARIABLE_279230 BOUND_VARIABLE_279231))))) (let ((_let_18240 (forall ((BOUND_VARIABLE_279220 (-> Bool Bool)) (BOUND_VARIABLE_279221 (-> tptp.nat Bool)) (BOUND_VARIABLE_279222 tptp.nat)) (= (@ BOUND_VARIABLE_279220 (@ BOUND_VARIABLE_279221 BOUND_VARIABLE_279222)) (ll_1730 BOUND_VARIABLE_279220 BOUND_VARIABLE_279221 BOUND_VARIABLE_279222))))) (let ((_let_18241 (forall ((BOUND_VARIABLE_279207 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279208 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279209 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279209)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279207) BOUND_VARIABLE_279208))) (ll_1729 BOUND_VARIABLE_279207 BOUND_VARIABLE_279208 BOUND_VARIABLE_279209))))) (let ((_let_18242 (forall ((BOUND_VARIABLE_279194 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279195 tptp.set_nat) (BOUND_VARIABLE_279196 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279196)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279194) BOUND_VARIABLE_279195))) (ll_1728 BOUND_VARIABLE_279194 BOUND_VARIABLE_279195 BOUND_VARIABLE_279196))))) (let ((_let_18243 (forall ((BOUND_VARIABLE_279181 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279182 tptp.set_o) (BOUND_VARIABLE_279183 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279183)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279181) BOUND_VARIABLE_279182))) (ll_1727 BOUND_VARIABLE_279181 BOUND_VARIABLE_279182 BOUND_VARIABLE_279183))))) (let ((_let_18244 (forall ((BOUND_VARIABLE_279168 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_279169 tptp.set_Product_unit) (BOUND_VARIABLE_279170 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279170)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_279168) BOUND_VARIABLE_279169))) (ll_1726 BOUND_VARIABLE_279168 BOUND_VARIABLE_279169 BOUND_VARIABLE_279170))))) (let ((_let_18245 (forall ((BOUND_VARIABLE_279155 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279156 tptp.set_int) (BOUND_VARIABLE_279157 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279157)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279155) BOUND_VARIABLE_279156))) (ll_1725 BOUND_VARIABLE_279155 BOUND_VARIABLE_279156 BOUND_VARIABLE_279157))))) (let ((_let_18246 (forall ((BOUND_VARIABLE_279142 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_279143 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_279144 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279144)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_279142) BOUND_VARIABLE_279143))) (ll_1724 BOUND_VARIABLE_279142 BOUND_VARIABLE_279143 BOUND_VARIABLE_279144))))) (let ((_let_18247 (forall ((BOUND_VARIABLE_279129 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_279130 tptp.set_nat) (BOUND_VARIABLE_279131 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279131)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_279129) BOUND_VARIABLE_279130))) (ll_1723 BOUND_VARIABLE_279129 BOUND_VARIABLE_279130 BOUND_VARIABLE_279131))))) (let ((_let_18248 (forall ((BOUND_VARIABLE_279116 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279117 tptp.set_o) (BOUND_VARIABLE_279118 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279118)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279116) BOUND_VARIABLE_279117))) (ll_1722 BOUND_VARIABLE_279116 BOUND_VARIABLE_279117 BOUND_VARIABLE_279118))))) (let ((_let_18249 (forall ((BOUND_VARIABLE_279103 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_279104 tptp.set_Product_unit) (BOUND_VARIABLE_279105 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279105)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_279103) BOUND_VARIABLE_279104))) (ll_1721 BOUND_VARIABLE_279103 BOUND_VARIABLE_279104 BOUND_VARIABLE_279105))))) (let ((_let_18250 (forall ((BOUND_VARIABLE_279090 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_279091 tptp.set_int) (BOUND_VARIABLE_279092 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279092)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_279090) BOUND_VARIABLE_279091))) (ll_1720 BOUND_VARIABLE_279090 BOUND_VARIABLE_279091 BOUND_VARIABLE_279092))))) (let ((_let_18251 (forall ((BOUND_VARIABLE_279077 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279078 tptp.set_o) (BOUND_VARIABLE_279079 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279079)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279077) BOUND_VARIABLE_279078))) (ll_1719 BOUND_VARIABLE_279077 BOUND_VARIABLE_279078 BOUND_VARIABLE_279079))))) (let ((_let_18252 (forall ((BOUND_VARIABLE_279064 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279065 tptp.set_o) (BOUND_VARIABLE_279066 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279066)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279064) BOUND_VARIABLE_279065))) (ll_1718 BOUND_VARIABLE_279064 BOUND_VARIABLE_279065 BOUND_VARIABLE_279066))))) (let ((_let_18253 (forall ((BOUND_VARIABLE_279051 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279052 tptp.set_o) (BOUND_VARIABLE_279053 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279053)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279051) BOUND_VARIABLE_279052))) (ll_1717 BOUND_VARIABLE_279051 BOUND_VARIABLE_279052 BOUND_VARIABLE_279053))))) (let ((_let_18254 (forall ((BOUND_VARIABLE_279038 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_279039 tptp.set_o) (BOUND_VARIABLE_279040 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279040)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_279038) BOUND_VARIABLE_279039))) (ll_1716 BOUND_VARIABLE_279038 BOUND_VARIABLE_279039 BOUND_VARIABLE_279040))))) (let ((_let_18255 (forall ((BOUND_VARIABLE_279007 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_279008 tptp.set_int) (BOUND_VARIABLE_279009 tptp.nat)) (= (ll_1715 BOUND_VARIABLE_279007 BOUND_VARIABLE_279008 BOUND_VARIABLE_279009) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_279009)) (@ (@ tptp.image_int_set_nat (@ ll_3521 BOUND_VARIABLE_279007)) BOUND_VARIABLE_279008))))))) (let ((_let_18256 (forall ((BOUND_VARIABLE_278976 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_278977 tptp.set_nat) (BOUND_VARIABLE_278978 tptp.nat)) (= (ll_1714 BOUND_VARIABLE_278976 BOUND_VARIABLE_278977 BOUND_VARIABLE_278978) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278978)) (@ (@ tptp.image_nat_set_nat (@ ll_3520 BOUND_VARIABLE_278976)) BOUND_VARIABLE_278977))))))) (let ((_let_18257 (forall ((BOUND_VARIABLE_278944 (-> tptp.int tptp.int)) (BOUND_VARIABLE_278945 tptp.set_int) (BOUND_VARIABLE_278946 tptp.int)) (= (ll_1713 BOUND_VARIABLE_278944 BOUND_VARIABLE_278945 BOUND_VARIABLE_278946) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278946)) (@ (@ tptp.image_int_set_int (@ ll_3519 BOUND_VARIABLE_278944)) BOUND_VARIABLE_278945))))))) (let ((_let_18258 (forall ((BOUND_VARIABLE_278912 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_278913 tptp.set_nat) (BOUND_VARIABLE_278914 tptp.int)) (= (ll_1712 BOUND_VARIABLE_278912 BOUND_VARIABLE_278913 BOUND_VARIABLE_278914) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278914)) (@ (@ tptp.image_nat_set_int (@ ll_3518 BOUND_VARIABLE_278912)) BOUND_VARIABLE_278913))))))) (let ((_let_18259 (forall ((BOUND_VARIABLE_278903 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_278904 tptp.nat)) (= (@ (@ tptp.insert_rat (@ BOUND_VARIABLE_278903 BOUND_VARIABLE_278904)) tptp.bot_bot_set_rat) (ll_1711 BOUND_VARIABLE_278903 BOUND_VARIABLE_278904))))) (let ((_let_18260 (forall ((BOUND_VARIABLE_278890 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_278891 tptp.set_o) (BOUND_VARIABLE_278892 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_278892)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_278890) BOUND_VARIABLE_278891))) (ll_1710 BOUND_VARIABLE_278890 BOUND_VARIABLE_278891 BOUND_VARIABLE_278892))))) (let ((_let_18261 (forall ((BOUND_VARIABLE_278877 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_278878 tptp.set_int) (BOUND_VARIABLE_278879 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278879)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_278877) BOUND_VARIABLE_278878))) (ll_1709 BOUND_VARIABLE_278877 BOUND_VARIABLE_278878 BOUND_VARIABLE_278879))))) (let ((_let_18262 (forall ((BOUND_VARIABLE_278864 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278865 tptp.set_nat) (BOUND_VARIABLE_278866 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278866)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_278864) BOUND_VARIABLE_278865))) (ll_1708 BOUND_VARIABLE_278864 BOUND_VARIABLE_278865 BOUND_VARIABLE_278866))))) (let ((_let_18263 (forall ((BOUND_VARIABLE_278851 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_278852 tptp.set_o) (BOUND_VARIABLE_278853 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278853)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_278851) BOUND_VARIABLE_278852))) (ll_1707 BOUND_VARIABLE_278851 BOUND_VARIABLE_278852 BOUND_VARIABLE_278853))))) (let ((_let_18264 (forall ((BOUND_VARIABLE_278838 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_278839 tptp.set_int) (BOUND_VARIABLE_278840 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278840)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_278838) BOUND_VARIABLE_278839))) (ll_1706 BOUND_VARIABLE_278838 BOUND_VARIABLE_278839 BOUND_VARIABLE_278840))))) (let ((_let_18265 (forall ((BOUND_VARIABLE_278825 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_278826 tptp.set_nat) (BOUND_VARIABLE_278827 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278827)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_278825) BOUND_VARIABLE_278826))) (ll_1705 BOUND_VARIABLE_278825 BOUND_VARIABLE_278826 BOUND_VARIABLE_278827))))) (let ((_let_18266 (forall ((BOUND_VARIABLE_278812 (-> Bool tptp.set_int)) (BOUND_VARIABLE_278813 tptp.set_o) (BOUND_VARIABLE_278814 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278814)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_278812) BOUND_VARIABLE_278813))) (ll_1704 BOUND_VARIABLE_278812 BOUND_VARIABLE_278813 BOUND_VARIABLE_278814))))) (let ((_let_18267 (forall ((BOUND_VARIABLE_278799 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_278800 tptp.set_int) (BOUND_VARIABLE_278801 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278801)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_278799) BOUND_VARIABLE_278800))) (ll_1703 BOUND_VARIABLE_278799 BOUND_VARIABLE_278800 BOUND_VARIABLE_278801))))) (let ((_let_18268 (forall ((BOUND_VARIABLE_278786 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_278787 tptp.set_nat) (BOUND_VARIABLE_278788 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278788)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_278786) BOUND_VARIABLE_278787))) (ll_1702 BOUND_VARIABLE_278786 BOUND_VARIABLE_278787 BOUND_VARIABLE_278788))))) (let ((_let_18269 (forall ((BOUND_VARIABLE_278773 (-> Bool tptp.set_o)) (BOUND_VARIABLE_278774 tptp.set_o) (BOUND_VARIABLE_278775 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278775)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_278773) BOUND_VARIABLE_278774))) (ll_1701 BOUND_VARIABLE_278773 BOUND_VARIABLE_278774 BOUND_VARIABLE_278775))))) (let ((_let_18270 (forall ((BOUND_VARIABLE_278760 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_278761 tptp.set_o) (BOUND_VARIABLE_278762 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_278762)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_278760) BOUND_VARIABLE_278761))) (ll_1700 BOUND_VARIABLE_278760 BOUND_VARIABLE_278761 BOUND_VARIABLE_278762))))) (let ((_let_18271 (forall ((BOUND_VARIABLE_278747 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_278748 tptp.set_int) (BOUND_VARIABLE_278749 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278749)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_278747) BOUND_VARIABLE_278748))) (ll_1699 BOUND_VARIABLE_278747 BOUND_VARIABLE_278748 BOUND_VARIABLE_278749))))) (let ((_let_18272 (forall ((BOUND_VARIABLE_278734 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278735 tptp.set_nat) (BOUND_VARIABLE_278736 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278736)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_278734) BOUND_VARIABLE_278735))) (ll_1698 BOUND_VARIABLE_278734 BOUND_VARIABLE_278735 BOUND_VARIABLE_278736))))) (let ((_let_18273 (forall ((BOUND_VARIABLE_278721 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_278722 tptp.set_o) (BOUND_VARIABLE_278723 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278723)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_278721) BOUND_VARIABLE_278722))) (ll_1697 BOUND_VARIABLE_278721 BOUND_VARIABLE_278722 BOUND_VARIABLE_278723))))) (let ((_let_18274 (forall ((BOUND_VARIABLE_278708 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_278709 tptp.set_int) (BOUND_VARIABLE_278710 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278710)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_278708) BOUND_VARIABLE_278709))) (ll_1696 BOUND_VARIABLE_278708 BOUND_VARIABLE_278709 BOUND_VARIABLE_278710))))) (let ((_let_18275 (forall ((BOUND_VARIABLE_278695 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_278696 tptp.set_nat) (BOUND_VARIABLE_278697 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278697)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_278695) BOUND_VARIABLE_278696))) (ll_1695 BOUND_VARIABLE_278695 BOUND_VARIABLE_278696 BOUND_VARIABLE_278697))))) (let ((_let_18276 (forall ((BOUND_VARIABLE_278682 (-> Bool tptp.set_int)) (BOUND_VARIABLE_278683 tptp.set_o) (BOUND_VARIABLE_278684 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278684)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_278682) BOUND_VARIABLE_278683))) (ll_1694 BOUND_VARIABLE_278682 BOUND_VARIABLE_278683 BOUND_VARIABLE_278684))))) (let ((_let_18277 (forall ((BOUND_VARIABLE_278669 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_278670 tptp.set_int) (BOUND_VARIABLE_278671 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278671)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_278669) BOUND_VARIABLE_278670))) (ll_1693 BOUND_VARIABLE_278669 BOUND_VARIABLE_278670 BOUND_VARIABLE_278671))))) (let ((_let_18278 (forall ((BOUND_VARIABLE_278656 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_278657 tptp.set_nat) (BOUND_VARIABLE_278658 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278658)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_278656) BOUND_VARIABLE_278657))) (ll_1692 BOUND_VARIABLE_278656 BOUND_VARIABLE_278657 BOUND_VARIABLE_278658))))) (let ((_let_18279 (forall ((BOUND_VARIABLE_278643 (-> Bool tptp.set_o)) (BOUND_VARIABLE_278644 tptp.set_o) (BOUND_VARIABLE_278645 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278645)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_278643) BOUND_VARIABLE_278644))) (ll_1691 BOUND_VARIABLE_278643 BOUND_VARIABLE_278644 BOUND_VARIABLE_278645))))) (let ((_let_18280 (forall ((BOUND_VARIABLE_278630 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_278631 tptp.set_o) (BOUND_VARIABLE_278632 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_278632)) (@ (@ tptp.image_7077428525161401678at_nat BOUND_VARIABLE_278630) BOUND_VARIABLE_278631))) (ll_1690 BOUND_VARIABLE_278630 BOUND_VARIABLE_278631 BOUND_VARIABLE_278632))))) (let ((_let_18281 (forall ((BOUND_VARIABLE_278617 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_278618 tptp.set_int) (BOUND_VARIABLE_278619 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278619)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_278617) BOUND_VARIABLE_278618))) (ll_1689 BOUND_VARIABLE_278617 BOUND_VARIABLE_278618 BOUND_VARIABLE_278619))))) (let ((_let_18282 (forall ((BOUND_VARIABLE_278604 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278605 tptp.set_nat) (BOUND_VARIABLE_278606 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278606)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_278604) BOUND_VARIABLE_278605))) (ll_1688 BOUND_VARIABLE_278604 BOUND_VARIABLE_278605 BOUND_VARIABLE_278606))))) (let ((_let_18283 (forall ((BOUND_VARIABLE_278591 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_278592 tptp.set_o) (BOUND_VARIABLE_278593 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278593)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_278591) BOUND_VARIABLE_278592))) (ll_1687 BOUND_VARIABLE_278591 BOUND_VARIABLE_278592 BOUND_VARIABLE_278593))))) (let ((_let_18284 (forall ((BOUND_VARIABLE_278578 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_278579 tptp.set_int) (BOUND_VARIABLE_278580 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278580)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_278578) BOUND_VARIABLE_278579))) (ll_1686 BOUND_VARIABLE_278578 BOUND_VARIABLE_278579 BOUND_VARIABLE_278580))))) (let ((_let_18285 (forall ((BOUND_VARIABLE_278565 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_278566 tptp.set_nat) (BOUND_VARIABLE_278567 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278567)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_278565) BOUND_VARIABLE_278566))) (ll_1685 BOUND_VARIABLE_278565 BOUND_VARIABLE_278566 BOUND_VARIABLE_278567))))) (let ((_let_18286 (forall ((BOUND_VARIABLE_278552 (-> Bool tptp.set_int)) (BOUND_VARIABLE_278553 tptp.set_o) (BOUND_VARIABLE_278554 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_278554)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_278552) BOUND_VARIABLE_278553))) (ll_1684 BOUND_VARIABLE_278552 BOUND_VARIABLE_278553 BOUND_VARIABLE_278554))))) (let ((_let_18287 (forall ((BOUND_VARIABLE_278539 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_278540 tptp.set_int) (BOUND_VARIABLE_278541 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278541)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_278539) BOUND_VARIABLE_278540))) (ll_1683 BOUND_VARIABLE_278539 BOUND_VARIABLE_278540 BOUND_VARIABLE_278541))))) (let ((_let_18288 (forall ((BOUND_VARIABLE_278526 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_278527 tptp.set_nat) (BOUND_VARIABLE_278528 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278528)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_278526) BOUND_VARIABLE_278527))) (ll_1682 BOUND_VARIABLE_278526 BOUND_VARIABLE_278527 BOUND_VARIABLE_278528))))) (let ((_let_18289 (forall ((BOUND_VARIABLE_278513 (-> Bool tptp.set_o)) (BOUND_VARIABLE_278514 tptp.set_o) (BOUND_VARIABLE_278515 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_278515)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_278513) BOUND_VARIABLE_278514))) (ll_1681 BOUND_VARIABLE_278513 BOUND_VARIABLE_278514 BOUND_VARIABLE_278515))))) (let ((_let_18290 (forall ((BOUND_VARIABLE_278496 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_278497 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_278498 tptp.int) (BOUND_VARIABLE_278499 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_278496 BOUND_VARIABLE_278498) B4)) (not (@ (@ BOUND_VARIABLE_278497 B4) BOUND_VARIABLE_278499))))) (ll_1680 BOUND_VARIABLE_278496 BOUND_VARIABLE_278497 BOUND_VARIABLE_278498 BOUND_VARIABLE_278499))))) (let ((_let_18291 (forall ((BOUND_VARIABLE_278479 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_278480 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_278481 tptp.product_prod_nat_nat) (BOUND_VARIABLE_278482 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_278479 BOUND_VARIABLE_278481) B4)) (not (@ (@ BOUND_VARIABLE_278480 B4) BOUND_VARIABLE_278482))))) (ll_1679 BOUND_VARIABLE_278479 BOUND_VARIABLE_278480 BOUND_VARIABLE_278481 BOUND_VARIABLE_278482))))) (let ((_let_18292 (forall ((BOUND_VARIABLE_278466 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278467 tptp.set_nat) (BOUND_VARIABLE_278468 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278468)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_278466) BOUND_VARIABLE_278467))) (ll_1678 BOUND_VARIABLE_278466 BOUND_VARIABLE_278467 BOUND_VARIABLE_278468))))) (let ((_let_18293 (forall ((BOUND_VARIABLE_278453 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278454 tptp.set_nat) (BOUND_VARIABLE_278455 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278455)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_278453) BOUND_VARIABLE_278454))) (ll_1677 BOUND_VARIABLE_278453 BOUND_VARIABLE_278454 BOUND_VARIABLE_278455))))) (let ((_let_18294 (forall ((BOUND_VARIABLE_278440 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_278441 tptp.set_o) (BOUND_VARIABLE_278442 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278442)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_278440) BOUND_VARIABLE_278441))) (ll_1676 BOUND_VARIABLE_278440 BOUND_VARIABLE_278441 BOUND_VARIABLE_278442))))) (let ((_let_18295 (forall ((BOUND_VARIABLE_278427 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_278428 tptp.set_o) (BOUND_VARIABLE_278429 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278429)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_278427) BOUND_VARIABLE_278428))) (ll_1675 BOUND_VARIABLE_278427 BOUND_VARIABLE_278428 BOUND_VARIABLE_278429))))) (let ((_let_18296 (forall ((BOUND_VARIABLE_278414 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_278415 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_278416 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278416)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_278414) BOUND_VARIABLE_278415))) (ll_1674 BOUND_VARIABLE_278414 BOUND_VARIABLE_278415 BOUND_VARIABLE_278416))))) (let ((_let_18297 (forall ((BOUND_VARIABLE_278401 (-> tptp.product_prod_nat_nat tptp.set_nat)) (BOUND_VARIABLE_278402 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_278403 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278403)) (@ (@ tptp.image_15824709712370754et_nat BOUND_VARIABLE_278401) BOUND_VARIABLE_278402))) (ll_1673 BOUND_VARIABLE_278401 BOUND_VARIABLE_278402 BOUND_VARIABLE_278403))))) (let ((_let_18298 (forall ((BOUND_VARIABLE_278388 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_278389 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_278390 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278390)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_278388) BOUND_VARIABLE_278389))) (ll_1672 BOUND_VARIABLE_278388 BOUND_VARIABLE_278389 BOUND_VARIABLE_278390))))) (let ((_let_18299 (forall ((BOUND_VARIABLE_278375 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (BOUND_VARIABLE_278376 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_278377 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278377)) (@ (@ tptp.image_3160451284896210088et_nat BOUND_VARIABLE_278375) BOUND_VARIABLE_278376))) (ll_1671 BOUND_VARIABLE_278375 BOUND_VARIABLE_278376 BOUND_VARIABLE_278377))))) (let ((_let_18300 (forall ((BOUND_VARIABLE_278362 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_278363 tptp.set_Product_unit) (BOUND_VARIABLE_278364 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278364)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_278362) BOUND_VARIABLE_278363))) (ll_1670 BOUND_VARIABLE_278362 BOUND_VARIABLE_278363 BOUND_VARIABLE_278364))))) (let ((_let_18301 (forall ((BOUND_VARIABLE_278349 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_278350 tptp.set_Product_unit) (BOUND_VARIABLE_278351 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278351)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_278349) BOUND_VARIABLE_278350))) (ll_1669 BOUND_VARIABLE_278349 BOUND_VARIABLE_278350 BOUND_VARIABLE_278351))))) (let ((_let_18302 (forall ((BOUND_VARIABLE_278342 tptp.set_nat)) (= (@ (@ tptp.bNF_Gr_nat_nat BOUND_VARIABLE_278342) tptp.id_nat) (ll_1668 BOUND_VARIABLE_278342))))) (let ((_let_18303 (forall ((BOUND_VARIABLE_278321 tptp.set_nat)) (= (ll_1667 BOUND_VARIABLE_278321) (@ tptp.collec3392354462482085612at_nat (@ ll_3517 BOUND_VARIABLE_278321)))))) (let ((_let_18304 (forall ((BOUND_VARIABLE_278283 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278284 tptp.set_set_nat) (BOUND_VARIABLE_278285 tptp.nat)) (= (ll_1666 BOUND_VARIABLE_278283 BOUND_VARIABLE_278284 BOUND_VARIABLE_278285) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278285)) (@ (@ tptp.image_7916887816326733075et_nat (@ ll_3516 BOUND_VARIABLE_278283)) BOUND_VARIABLE_278284))))))) (let ((_let_18305 (forall ((BOUND_VARIABLE_278253 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_278254 tptp.set_set_nat) (BOUND_VARIABLE_278255 tptp.nat)) (= (ll_1665 BOUND_VARIABLE_278253 BOUND_VARIABLE_278254 BOUND_VARIABLE_278255) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_278255)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_278253) (@ tptp.collect_nat (@ ll_3515 BOUND_VARIABLE_278254))))))))) (let ((_let_18306 (forall ((BOUND_VARIABLE_278219 tptp.set_int) (BOUND_VARIABLE_278220 tptp.product_prod_int_int)) (= (ll_1664 BOUND_VARIABLE_278219 BOUND_VARIABLE_278220) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_278220)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3514 BOUND_VARIABLE_278219)) BOUND_VARIABLE_278219))))))) (let ((_let_18307 (forall ((BOUND_VARIABLE_278185 tptp.set_nat) (BOUND_VARIABLE_278186 tptp.product_prod_nat_nat)) (= (ll_1663 BOUND_VARIABLE_278185 BOUND_VARIABLE_278186) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_278186)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3513 BOUND_VARIABLE_278185)) BOUND_VARIABLE_278185))))))) (let ((_let_18308 (forall ((BOUND_VARIABLE_278151 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_278152 tptp.produc3843707927480180839at_nat)) (= (ll_1662 BOUND_VARIABLE_278151 BOUND_VARIABLE_278152) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_278152)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3512 BOUND_VARIABLE_278151)) BOUND_VARIABLE_278151))))))) (let ((_let_18309 (forall ((BOUND_VARIABLE_278123 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_278124 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1661 BOUND_VARIABLE_278123 BOUND_VARIABLE_278124) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3511 BOUND_VARIABLE_278124)) BOUND_VARIABLE_278123)))))) (let ((_let_18310 (forall ((BOUND_VARIABLE_278089 tptp.set_int) (BOUND_VARIABLE_278090 tptp.product_prod_int_int)) (= (ll_1660 BOUND_VARIABLE_278089 BOUND_VARIABLE_278090) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_278090)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3510 BOUND_VARIABLE_278089)) BOUND_VARIABLE_278089))))))) (let ((_let_18311 (forall ((BOUND_VARIABLE_278055 tptp.set_nat) (BOUND_VARIABLE_278056 tptp.product_prod_nat_nat)) (= (ll_1659 BOUND_VARIABLE_278055 BOUND_VARIABLE_278056) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_278056)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3509 BOUND_VARIABLE_278055)) BOUND_VARIABLE_278055))))))) (let ((_let_18312 (forall ((BOUND_VARIABLE_278021 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_278022 tptp.produc3843707927480180839at_nat)) (= (ll_1658 BOUND_VARIABLE_278021 BOUND_VARIABLE_278022) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_278022)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3508 BOUND_VARIABLE_278021)) BOUND_VARIABLE_278021))))))) (let ((_let_18313 (forall ((BOUND_VARIABLE_277993 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_277994 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1657 BOUND_VARIABLE_277993 BOUND_VARIABLE_277994) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3507 BOUND_VARIABLE_277994)) BOUND_VARIABLE_277993)))))) (let ((_let_18314 (forall ((BOUND_VARIABLE_277959 tptp.set_int) (BOUND_VARIABLE_277960 tptp.product_prod_int_int)) (= (ll_1656 BOUND_VARIABLE_277959 BOUND_VARIABLE_277960) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_277960)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3506 BOUND_VARIABLE_277959)) BOUND_VARIABLE_277959))))))) (let ((_let_18315 (forall ((BOUND_VARIABLE_277925 tptp.set_nat) (BOUND_VARIABLE_277926 tptp.product_prod_nat_nat)) (= (ll_1655 BOUND_VARIABLE_277925 BOUND_VARIABLE_277926) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277926)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3505 BOUND_VARIABLE_277925)) BOUND_VARIABLE_277925))))))) (let ((_let_18316 (forall ((BOUND_VARIABLE_277891 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_277892 tptp.produc3843707927480180839at_nat)) (= (ll_1654 BOUND_VARIABLE_277891 BOUND_VARIABLE_277892) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_277892)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3504 BOUND_VARIABLE_277891)) BOUND_VARIABLE_277891))))))) (let ((_let_18317 (forall ((BOUND_VARIABLE_277863 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_277864 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1653 BOUND_VARIABLE_277863 BOUND_VARIABLE_277864) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3503 BOUND_VARIABLE_277864)) BOUND_VARIABLE_277863)))))) (let ((_let_18318 (forall ((BOUND_VARIABLE_277846 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_277847 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_277848 tptp.int) (BOUND_VARIABLE_277849 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_277846 BOUND_VARIABLE_277848) B4)) (not (@ (@ BOUND_VARIABLE_277847 B4) BOUND_VARIABLE_277849))))) (ll_1652 BOUND_VARIABLE_277846 BOUND_VARIABLE_277847 BOUND_VARIABLE_277848 BOUND_VARIABLE_277849))))) (let ((_let_18319 (forall ((BOUND_VARIABLE_277829 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_277830 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_277831 tptp.product_prod_nat_nat) (BOUND_VARIABLE_277832 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_277829 BOUND_VARIABLE_277831) B4)) (not (@ (@ BOUND_VARIABLE_277830 B4) BOUND_VARIABLE_277832))))) (ll_1651 BOUND_VARIABLE_277829 BOUND_VARIABLE_277830 BOUND_VARIABLE_277831 BOUND_VARIABLE_277832))))) (let ((_let_18320 (forall ((BOUND_VARIABLE_277739 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277740 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277741 tptp.set_nat) (BOUND_VARIABLE_277742 tptp.set_nat) (BOUND_VARIABLE_277743 tptp.product_prod_nat_nat)) (= (ll_1650 BOUND_VARIABLE_277739 BOUND_VARIABLE_277740 BOUND_VARIABLE_277741 BOUND_VARIABLE_277742 BOUND_VARIABLE_277743) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277743)) (@ (@ tptp.image_5423882813909314213at_nat (@ tptp.produc8197505143624133779at_nat (@ (@ ll_3502 BOUND_VARIABLE_277739) BOUND_VARIABLE_277740))) (@ tptp.collec3392354462482085612at_nat (@ (@ ll_3501 BOUND_VARIABLE_277741) BOUND_VARIABLE_277742))))))))) (let ((_let_18321 (forall ((BOUND_VARIABLE_277669 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277670 tptp.set_nat) (BOUND_VARIABLE_277671 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277672 tptp.set_nat) (BOUND_VARIABLE_277673 tptp.product_prod_nat_nat)) (= (ll_1649 BOUND_VARIABLE_277669 BOUND_VARIABLE_277670 BOUND_VARIABLE_277671 BOUND_VARIABLE_277672 BOUND_VARIABLE_277673) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277673)) (@ (@ tptp.image_7178329752028323786at_nat (@ (@ ll_3500 BOUND_VARIABLE_277669) BOUND_VARIABLE_277670)) (@ tptp.collect_nat (@ (@ ll_3499 BOUND_VARIABLE_277671) BOUND_VARIABLE_277672))))))))) (let ((_let_18322 (forall ((BOUND_VARIABLE_277657 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_277658 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277658)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_277657) tptp.bot_bo3957492148770167129t_unit))) (ll_1648 BOUND_VARIABLE_277657 BOUND_VARIABLE_277658))))) (let ((_let_18323 (forall ((BOUND_VARIABLE_277644 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_277645 tptp.set_Product_unit) (BOUND_VARIABLE_277646 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277646)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_277644) BOUND_VARIABLE_277645))) (ll_1647 BOUND_VARIABLE_277644 BOUND_VARIABLE_277645 BOUND_VARIABLE_277646))))) (let ((_let_18324 (forall ((BOUND_VARIABLE_277610 tptp.product_prod_nat_nat) (BOUND_VARIABLE_277611 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_277612 tptp.set_Product_unit) (BOUND_VARIABLE_277613 tptp.product_prod_nat_nat)) (= (ll_1646 BOUND_VARIABLE_277610 BOUND_VARIABLE_277611 BOUND_VARIABLE_277612 BOUND_VARIABLE_277613) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277613)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3498 BOUND_VARIABLE_277610) BOUND_VARIABLE_277611)) BOUND_VARIABLE_277612))))))) (let ((_let_18325 (forall ((BOUND_VARIABLE_277593 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277594 tptp.nat)) (= (ll_1645 BOUND_VARIABLE_277593 BOUND_VARIABLE_277594) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277594)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_277593) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18326 (forall ((BOUND_VARIABLE_277580 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277581 tptp.set_nat) (BOUND_VARIABLE_277582 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277582)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_277580) BOUND_VARIABLE_277581))) (ll_1644 BOUND_VARIABLE_277580 BOUND_VARIABLE_277581 BOUND_VARIABLE_277582))))) (let ((_let_18327 (forall ((BOUND_VARIABLE_277546 tptp.nat) (BOUND_VARIABLE_277547 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277548 tptp.set_nat) (BOUND_VARIABLE_277549 tptp.nat)) (= (ll_1643 BOUND_VARIABLE_277546 BOUND_VARIABLE_277547 BOUND_VARIABLE_277548 BOUND_VARIABLE_277549) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277549)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3497 BOUND_VARIABLE_277546) BOUND_VARIABLE_277547)) BOUND_VARIABLE_277548))))))) (let ((_let_18328 (forall ((BOUND_VARIABLE_277534 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277535 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277535)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_277534) tptp.bot_bot_set_o))) (ll_1642 BOUND_VARIABLE_277534 BOUND_VARIABLE_277535))))) (let ((_let_18329 (forall ((BOUND_VARIABLE_277521 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277522 tptp.set_o) (BOUND_VARIABLE_277523 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277523)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_277521) BOUND_VARIABLE_277522))) (ll_1641 BOUND_VARIABLE_277521 BOUND_VARIABLE_277522 BOUND_VARIABLE_277523))))) (let ((_let_18330 (forall ((BOUND_VARIABLE_277487 tptp.nat) (BOUND_VARIABLE_277488 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277489 tptp.set_o) (BOUND_VARIABLE_277490 tptp.nat)) (= (ll_1640 BOUND_VARIABLE_277487 BOUND_VARIABLE_277488 BOUND_VARIABLE_277489 BOUND_VARIABLE_277490) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277490)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3496 BOUND_VARIABLE_277487) BOUND_VARIABLE_277488)) BOUND_VARIABLE_277489))))))) (let ((_let_18331 (forall ((BOUND_VARIABLE_277475 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_277476 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277476)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_277475) tptp.bot_bo3957492148770167129t_unit))) (ll_1639 BOUND_VARIABLE_277475 BOUND_VARIABLE_277476))))) (let ((_let_18332 (forall ((BOUND_VARIABLE_277462 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_277463 tptp.set_Product_unit) (BOUND_VARIABLE_277464 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277464)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_277462) BOUND_VARIABLE_277463))) (ll_1638 BOUND_VARIABLE_277462 BOUND_VARIABLE_277463 BOUND_VARIABLE_277464))))) (let ((_let_18333 (forall ((BOUND_VARIABLE_277428 tptp.nat) (BOUND_VARIABLE_277429 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_277430 tptp.set_Product_unit) (BOUND_VARIABLE_277431 tptp.nat)) (= (ll_1637 BOUND_VARIABLE_277428 BOUND_VARIABLE_277429 BOUND_VARIABLE_277430 BOUND_VARIABLE_277431) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277431)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3495 BOUND_VARIABLE_277428) BOUND_VARIABLE_277429)) BOUND_VARIABLE_277430))))))) (let ((_let_18334 (forall ((BOUND_VARIABLE_277411 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_277412 Bool)) (= (ll_1636 BOUND_VARIABLE_277411 BOUND_VARIABLE_277412) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277412)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_277411) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18335 (forall ((BOUND_VARIABLE_277398 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_277399 tptp.set_nat) (BOUND_VARIABLE_277400 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277400)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_277398) BOUND_VARIABLE_277399))) (ll_1635 BOUND_VARIABLE_277398 BOUND_VARIABLE_277399 BOUND_VARIABLE_277400))))) (let ((_let_18336 (forall ((BOUND_VARIABLE_277364 Bool) (BOUND_VARIABLE_277365 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_277366 tptp.set_nat) (BOUND_VARIABLE_277367 Bool)) (= (ll_1634 BOUND_VARIABLE_277364 BOUND_VARIABLE_277365 BOUND_VARIABLE_277366 BOUND_VARIABLE_277367) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277367)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3494 BOUND_VARIABLE_277364) BOUND_VARIABLE_277365)) BOUND_VARIABLE_277366))))))) (let ((_let_18337 (forall ((BOUND_VARIABLE_277354 tptp.product_unit) (BOUND_VARIABLE_277355 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_277356 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_277354) (@ BOUND_VARIABLE_277355 BOUND_VARIABLE_277356)) (ll_1633 BOUND_VARIABLE_277354 BOUND_VARIABLE_277355 BOUND_VARIABLE_277356))))) (let ((_let_18338 (forall ((BOUND_VARIABLE_277342 (-> Bool tptp.set_o)) (BOUND_VARIABLE_277343 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277343)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_277342) tptp.bot_bot_set_o))) (ll_1632 BOUND_VARIABLE_277342 BOUND_VARIABLE_277343))))) (let ((_let_18339 (forall ((BOUND_VARIABLE_277329 (-> Bool tptp.set_o)) (BOUND_VARIABLE_277330 tptp.set_o) (BOUND_VARIABLE_277331 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277331)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_277329) BOUND_VARIABLE_277330))) (ll_1631 BOUND_VARIABLE_277329 BOUND_VARIABLE_277330 BOUND_VARIABLE_277331))))) (let ((_let_18340 (forall ((BOUND_VARIABLE_277295 Bool) (BOUND_VARIABLE_277296 (-> Bool tptp.set_o)) (BOUND_VARIABLE_277297 tptp.set_o) (BOUND_VARIABLE_277298 Bool)) (= (ll_1630 BOUND_VARIABLE_277295 BOUND_VARIABLE_277296 BOUND_VARIABLE_277297 BOUND_VARIABLE_277298) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277298)) (@ (@ tptp.image_o_set_o (@ (@ ll_3493 BOUND_VARIABLE_277295) BOUND_VARIABLE_277296)) BOUND_VARIABLE_277297))))))) (let ((_let_18341 (forall ((BOUND_VARIABLE_277285 tptp.product_unit) (BOUND_VARIABLE_277286 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_277287 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_277285) (@ BOUND_VARIABLE_277286 BOUND_VARIABLE_277287)) (ll_1629 BOUND_VARIABLE_277285 BOUND_VARIABLE_277286 BOUND_VARIABLE_277287))))) (let ((_let_18342 (forall ((BOUND_VARIABLE_277273 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_277274 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277274)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_277273) tptp.bot_bo3957492148770167129t_unit))) (ll_1628 BOUND_VARIABLE_277273 BOUND_VARIABLE_277274))))) (let ((_let_18343 (forall ((BOUND_VARIABLE_277260 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_277261 tptp.set_Product_unit) (BOUND_VARIABLE_277262 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277262)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_277260) BOUND_VARIABLE_277261))) (ll_1627 BOUND_VARIABLE_277260 BOUND_VARIABLE_277261 BOUND_VARIABLE_277262))))) (let ((_let_18344 (forall ((BOUND_VARIABLE_277226 Bool) (BOUND_VARIABLE_277227 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_277228 tptp.set_Product_unit) (BOUND_VARIABLE_277229 Bool)) (= (ll_1626 BOUND_VARIABLE_277226 BOUND_VARIABLE_277227 BOUND_VARIABLE_277228 BOUND_VARIABLE_277229) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_277229)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3492 BOUND_VARIABLE_277226) BOUND_VARIABLE_277227)) BOUND_VARIABLE_277228))))))) (let ((_let_18345 (forall ((BOUND_VARIABLE_277216 tptp.product_unit) (BOUND_VARIABLE_277217 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_277218 tptp.product_unit)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_277216) (@ BOUND_VARIABLE_277217 BOUND_VARIABLE_277218)) (ll_1625 BOUND_VARIABLE_277216 BOUND_VARIABLE_277217 BOUND_VARIABLE_277218))))) (let ((_let_18346 (forall ((BOUND_VARIABLE_277203 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277204 tptp.set_nat) (BOUND_VARIABLE_277205 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277205)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_277203) BOUND_VARIABLE_277204))) (ll_1624 BOUND_VARIABLE_277203 BOUND_VARIABLE_277204 BOUND_VARIABLE_277205))))) (let ((_let_18347 (forall ((BOUND_VARIABLE_277190 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277191 tptp.set_nat) (BOUND_VARIABLE_277192 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277192)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_277190) BOUND_VARIABLE_277191))) (ll_1623 BOUND_VARIABLE_277190 BOUND_VARIABLE_277191 BOUND_VARIABLE_277192))))) (let ((_let_18348 (forall ((BOUND_VARIABLE_277177 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277178 tptp.set_o) (BOUND_VARIABLE_277179 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277179)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_277177) BOUND_VARIABLE_277178))) (ll_1622 BOUND_VARIABLE_277177 BOUND_VARIABLE_277178 BOUND_VARIABLE_277179))))) (let ((_let_18349 (forall ((BOUND_VARIABLE_277164 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277165 tptp.set_o) (BOUND_VARIABLE_277166 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277166)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_277164) BOUND_VARIABLE_277165))) (ll_1621 BOUND_VARIABLE_277164 BOUND_VARIABLE_277165 BOUND_VARIABLE_277166))))) (let ((_let_18350 (forall ((BOUND_VARIABLE_277151 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277152 tptp.set_nat) (BOUND_VARIABLE_277153 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277153)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_277151) BOUND_VARIABLE_277152))) (ll_1620 BOUND_VARIABLE_277151 BOUND_VARIABLE_277152 BOUND_VARIABLE_277153))))) (let ((_let_18351 (forall ((BOUND_VARIABLE_277138 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277139 tptp.set_nat) (BOUND_VARIABLE_277140 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277140)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_277138) BOUND_VARIABLE_277139))) (ll_1619 BOUND_VARIABLE_277138 BOUND_VARIABLE_277139 BOUND_VARIABLE_277140))))) (let ((_let_18352 (forall ((BOUND_VARIABLE_277125 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277126 tptp.set_o) (BOUND_VARIABLE_277127 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277127)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_277125) BOUND_VARIABLE_277126))) (ll_1618 BOUND_VARIABLE_277125 BOUND_VARIABLE_277126 BOUND_VARIABLE_277127))))) (let ((_let_18353 (forall ((BOUND_VARIABLE_277112 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_277113 tptp.set_o) (BOUND_VARIABLE_277114 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_277114)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_277112) BOUND_VARIABLE_277113))) (ll_1617 BOUND_VARIABLE_277112 BOUND_VARIABLE_277113 BOUND_VARIABLE_277114))))) (let ((_let_18354 (forall ((BOUND_VARIABLE_277063 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277064 tptp.set_set_nat) (BOUND_VARIABLE_277065 tptp.product_prod_nat_nat)) (= (ll_1616 BOUND_VARIABLE_277063 BOUND_VARIABLE_277064 BOUND_VARIABLE_277065) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277065)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3491 BOUND_VARIABLE_277063)) (@ tptp.collect_nat (@ ll_3490 BOUND_VARIABLE_277064))))))))) (let ((_let_18355 (forall ((BOUND_VARIABLE_277011 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_277012 tptp.set_set_nat) (BOUND_VARIABLE_277013 tptp.product_prod_nat_nat)) (= (ll_1615 BOUND_VARIABLE_277011 BOUND_VARIABLE_277012 BOUND_VARIABLE_277013) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_277013)) (@ (@ tptp.image_6521575952113991828at_nat (@ ll_3489 BOUND_VARIABLE_277011)) BOUND_VARIABLE_277012))))))) (let ((_let_18356 (forall ((BOUND_VARIABLE_277001 tptp.product_unit) (BOUND_VARIABLE_277002 (-> tptp.product_prod_nat_nat tptp.set_Product_unit)) (BOUND_VARIABLE_277003 tptp.product_prod_nat_nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_277001) (@ BOUND_VARIABLE_277002 BOUND_VARIABLE_277003)) (ll_1614 BOUND_VARIABLE_277001 BOUND_VARIABLE_277002 BOUND_VARIABLE_277003))))) (let ((_let_18357 (forall ((BOUND_VARIABLE_276967 tptp.nat) (BOUND_VARIABLE_276968 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_276969 tptp.set_int) (BOUND_VARIABLE_276970 tptp.nat)) (= (ll_1613 BOUND_VARIABLE_276967 BOUND_VARIABLE_276968 BOUND_VARIABLE_276969 BOUND_VARIABLE_276970) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276970)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3488 BOUND_VARIABLE_276967) BOUND_VARIABLE_276968)) BOUND_VARIABLE_276969))))))) (let ((_let_18358 (forall ((BOUND_VARIABLE_276954 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_276955 tptp.set_int) (BOUND_VARIABLE_276956 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276956)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_276954) BOUND_VARIABLE_276955))) (ll_1612 BOUND_VARIABLE_276954 BOUND_VARIABLE_276955 BOUND_VARIABLE_276956))))) (let ((_let_18359 (forall ((BOUND_VARIABLE_276920 tptp.nat) (BOUND_VARIABLE_276921 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_276922 tptp.set_nat) (BOUND_VARIABLE_276923 tptp.nat)) (= (ll_1611 BOUND_VARIABLE_276920 BOUND_VARIABLE_276921 BOUND_VARIABLE_276922 BOUND_VARIABLE_276923) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276923)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3487 BOUND_VARIABLE_276920) BOUND_VARIABLE_276921)) BOUND_VARIABLE_276922))))))) (let ((_let_18360 (forall ((BOUND_VARIABLE_276907 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_276908 tptp.set_nat) (BOUND_VARIABLE_276909 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276909)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_276907) BOUND_VARIABLE_276908))) (ll_1610 BOUND_VARIABLE_276907 BOUND_VARIABLE_276908 BOUND_VARIABLE_276909))))) (let ((_let_18361 (forall ((BOUND_VARIABLE_276873 tptp.nat) (BOUND_VARIABLE_276874 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_276875 tptp.set_o) (BOUND_VARIABLE_276876 tptp.nat)) (= (ll_1609 BOUND_VARIABLE_276873 BOUND_VARIABLE_276874 BOUND_VARIABLE_276875 BOUND_VARIABLE_276876) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276876)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3486 BOUND_VARIABLE_276873) BOUND_VARIABLE_276874)) BOUND_VARIABLE_276875))))))) (let ((_let_18362 (forall ((BOUND_VARIABLE_276860 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_276861 tptp.set_o) (BOUND_VARIABLE_276862 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276862)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_276860) BOUND_VARIABLE_276861))) (ll_1608 BOUND_VARIABLE_276860 BOUND_VARIABLE_276861 BOUND_VARIABLE_276862))))) (let ((_let_18363 (forall ((BOUND_VARIABLE_276826 Bool) (BOUND_VARIABLE_276827 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_276828 tptp.set_int) (BOUND_VARIABLE_276829 Bool)) (= (ll_1607 BOUND_VARIABLE_276826 BOUND_VARIABLE_276827 BOUND_VARIABLE_276828 BOUND_VARIABLE_276829) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276829)) (@ (@ tptp.image_int_set_o (@ (@ ll_3485 BOUND_VARIABLE_276826) BOUND_VARIABLE_276827)) BOUND_VARIABLE_276828))))))) (let ((_let_18364 (forall ((BOUND_VARIABLE_276813 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_276814 tptp.set_int) (BOUND_VARIABLE_276815 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276815)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_276813) BOUND_VARIABLE_276814))) (ll_1606 BOUND_VARIABLE_276813 BOUND_VARIABLE_276814 BOUND_VARIABLE_276815))))) (let ((_let_18365 (forall ((BOUND_VARIABLE_276803 tptp.product_unit) (BOUND_VARIABLE_276804 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_276805 tptp.int)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276803) (@ BOUND_VARIABLE_276804 BOUND_VARIABLE_276805)) (ll_1605 BOUND_VARIABLE_276803 BOUND_VARIABLE_276804 BOUND_VARIABLE_276805))))) (let ((_let_18366 (forall ((BOUND_VARIABLE_276769 Bool) (BOUND_VARIABLE_276770 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_276771 tptp.set_nat) (BOUND_VARIABLE_276772 Bool)) (= (ll_1604 BOUND_VARIABLE_276769 BOUND_VARIABLE_276770 BOUND_VARIABLE_276771 BOUND_VARIABLE_276772) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276772)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3484 BOUND_VARIABLE_276769) BOUND_VARIABLE_276770)) BOUND_VARIABLE_276771))))))) (let ((_let_18367 (forall ((BOUND_VARIABLE_276756 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_276757 tptp.set_nat) (BOUND_VARIABLE_276758 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276758)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_276756) BOUND_VARIABLE_276757))) (ll_1603 BOUND_VARIABLE_276756 BOUND_VARIABLE_276757 BOUND_VARIABLE_276758))))) (let ((_let_18368 (forall ((BOUND_VARIABLE_276746 tptp.product_unit) (BOUND_VARIABLE_276747 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_276748 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276746) (@ BOUND_VARIABLE_276747 BOUND_VARIABLE_276748)) (ll_1602 BOUND_VARIABLE_276746 BOUND_VARIABLE_276747 BOUND_VARIABLE_276748))))) (let ((_let_18369 (forall ((BOUND_VARIABLE_276712 Bool) (BOUND_VARIABLE_276713 (-> Bool tptp.set_o)) (BOUND_VARIABLE_276714 tptp.set_o) (BOUND_VARIABLE_276715 Bool)) (= (ll_1601 BOUND_VARIABLE_276712 BOUND_VARIABLE_276713 BOUND_VARIABLE_276714 BOUND_VARIABLE_276715) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276715)) (@ (@ tptp.image_o_set_o (@ (@ ll_3483 BOUND_VARIABLE_276712) BOUND_VARIABLE_276713)) BOUND_VARIABLE_276714))))))) (let ((_let_18370 (forall ((BOUND_VARIABLE_276699 (-> Bool tptp.set_o)) (BOUND_VARIABLE_276700 tptp.set_o) (BOUND_VARIABLE_276701 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276701)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_276699) BOUND_VARIABLE_276700))) (ll_1600 BOUND_VARIABLE_276699 BOUND_VARIABLE_276700 BOUND_VARIABLE_276701))))) (let ((_let_18371 (forall ((BOUND_VARIABLE_276689 tptp.product_unit) (BOUND_VARIABLE_276690 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_276691 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276689) (@ BOUND_VARIABLE_276690 BOUND_VARIABLE_276691)) (ll_1599 BOUND_VARIABLE_276689 BOUND_VARIABLE_276690 BOUND_VARIABLE_276691))))) (let ((_let_18372 (forall ((BOUND_VARIABLE_276679 tptp.product_unit) (BOUND_VARIABLE_276680 (-> tptp.product_prod_nat_nat tptp.set_Product_unit)) (BOUND_VARIABLE_276681 tptp.product_prod_nat_nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276679) (@ BOUND_VARIABLE_276680 BOUND_VARIABLE_276681)) (ll_1598 BOUND_VARIABLE_276679 BOUND_VARIABLE_276680 BOUND_VARIABLE_276681))))) (let ((_let_18373 (forall ((BOUND_VARIABLE_276644 tptp.nat) (BOUND_VARIABLE_276645 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_276646 tptp.set_int) (BOUND_VARIABLE_276647 tptp.nat)) (= (ll_1597 BOUND_VARIABLE_276644 BOUND_VARIABLE_276645 BOUND_VARIABLE_276646 BOUND_VARIABLE_276647) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276647)) (@ (@ tptp.image_int_set_nat (@ (@ ll_3482 BOUND_VARIABLE_276644) BOUND_VARIABLE_276645)) BOUND_VARIABLE_276646))))))) (let ((_let_18374 (forall ((BOUND_VARIABLE_276631 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_276632 tptp.set_int) (BOUND_VARIABLE_276633 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276633)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_276631) BOUND_VARIABLE_276632))) (ll_1596 BOUND_VARIABLE_276631 BOUND_VARIABLE_276632 BOUND_VARIABLE_276633))))) (let ((_let_18375 (forall ((BOUND_VARIABLE_276597 tptp.nat) (BOUND_VARIABLE_276598 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_276599 tptp.set_nat) (BOUND_VARIABLE_276600 tptp.nat)) (= (ll_1595 BOUND_VARIABLE_276597 BOUND_VARIABLE_276598 BOUND_VARIABLE_276599 BOUND_VARIABLE_276600) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276600)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3481 BOUND_VARIABLE_276597) BOUND_VARIABLE_276598)) BOUND_VARIABLE_276599))))))) (let ((_let_18376 (forall ((BOUND_VARIABLE_276584 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_276585 tptp.set_nat) (BOUND_VARIABLE_276586 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276586)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_276584) BOUND_VARIABLE_276585))) (ll_1594 BOUND_VARIABLE_276584 BOUND_VARIABLE_276585 BOUND_VARIABLE_276586))))) (let ((_let_18377 (forall ((BOUND_VARIABLE_276550 tptp.nat) (BOUND_VARIABLE_276551 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_276552 tptp.set_o) (BOUND_VARIABLE_276553 tptp.nat)) (= (ll_1593 BOUND_VARIABLE_276550 BOUND_VARIABLE_276551 BOUND_VARIABLE_276552 BOUND_VARIABLE_276553) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276553)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3480 BOUND_VARIABLE_276550) BOUND_VARIABLE_276551)) BOUND_VARIABLE_276552))))))) (let ((_let_18378 (forall ((BOUND_VARIABLE_276537 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_276538 tptp.set_o) (BOUND_VARIABLE_276539 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276539)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_276537) BOUND_VARIABLE_276538))) (ll_1592 BOUND_VARIABLE_276537 BOUND_VARIABLE_276538 BOUND_VARIABLE_276539))))) (let ((_let_18379 (forall ((BOUND_VARIABLE_276502 Bool) (BOUND_VARIABLE_276503 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_276504 tptp.set_int) (BOUND_VARIABLE_276505 Bool)) (= (ll_1591 BOUND_VARIABLE_276502 BOUND_VARIABLE_276503 BOUND_VARIABLE_276504 BOUND_VARIABLE_276505) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276505)) (@ (@ tptp.image_int_set_o (@ (@ ll_3479 BOUND_VARIABLE_276502) BOUND_VARIABLE_276503)) BOUND_VARIABLE_276504))))))) (let ((_let_18380 (forall ((BOUND_VARIABLE_276489 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_276490 tptp.set_int) (BOUND_VARIABLE_276491 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276491)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_276489) BOUND_VARIABLE_276490))) (ll_1590 BOUND_VARIABLE_276489 BOUND_VARIABLE_276490 BOUND_VARIABLE_276491))))) (let ((_let_18381 (forall ((BOUND_VARIABLE_276479 tptp.product_unit) (BOUND_VARIABLE_276480 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_276481 tptp.int)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276479) (@ BOUND_VARIABLE_276480 BOUND_VARIABLE_276481)) (ll_1589 BOUND_VARIABLE_276479 BOUND_VARIABLE_276480 BOUND_VARIABLE_276481))))) (let ((_let_18382 (forall ((BOUND_VARIABLE_276445 Bool) (BOUND_VARIABLE_276446 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_276447 tptp.set_nat) (BOUND_VARIABLE_276448 Bool)) (= (ll_1588 BOUND_VARIABLE_276445 BOUND_VARIABLE_276446 BOUND_VARIABLE_276447 BOUND_VARIABLE_276448) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276448)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3478 BOUND_VARIABLE_276445) BOUND_VARIABLE_276446)) BOUND_VARIABLE_276447))))))) (let ((_let_18383 (forall ((BOUND_VARIABLE_276432 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_276433 tptp.set_nat) (BOUND_VARIABLE_276434 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276434)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_276432) BOUND_VARIABLE_276433))) (ll_1587 BOUND_VARIABLE_276432 BOUND_VARIABLE_276433 BOUND_VARIABLE_276434))))) (let ((_let_18384 (forall ((BOUND_VARIABLE_276422 tptp.product_unit) (BOUND_VARIABLE_276423 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_276424 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276422) (@ BOUND_VARIABLE_276423 BOUND_VARIABLE_276424)) (ll_1586 BOUND_VARIABLE_276422 BOUND_VARIABLE_276423 BOUND_VARIABLE_276424))))) (let ((_let_18385 (forall ((BOUND_VARIABLE_276388 Bool) (BOUND_VARIABLE_276389 (-> Bool tptp.set_o)) (BOUND_VARIABLE_276390 tptp.set_o) (BOUND_VARIABLE_276391 Bool)) (= (ll_1585 BOUND_VARIABLE_276388 BOUND_VARIABLE_276389 BOUND_VARIABLE_276390 BOUND_VARIABLE_276391) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276391)) (@ (@ tptp.image_o_set_o (@ (@ ll_3477 BOUND_VARIABLE_276388) BOUND_VARIABLE_276389)) BOUND_VARIABLE_276390))))))) (let ((_let_18386 (forall ((BOUND_VARIABLE_276375 (-> Bool tptp.set_o)) (BOUND_VARIABLE_276376 tptp.set_o) (BOUND_VARIABLE_276377 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276377)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_276375) BOUND_VARIABLE_276376))) (ll_1584 BOUND_VARIABLE_276375 BOUND_VARIABLE_276376 BOUND_VARIABLE_276377))))) (let ((_let_18387 (forall ((BOUND_VARIABLE_276365 tptp.product_unit) (BOUND_VARIABLE_276366 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_276367 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276365) (@ BOUND_VARIABLE_276366 BOUND_VARIABLE_276367)) (ll_1583 BOUND_VARIABLE_276365 BOUND_VARIABLE_276366 BOUND_VARIABLE_276367))))) (let ((_let_18388 (forall ((BOUND_VARIABLE_276326 tptp.nat) (BOUND_VARIABLE_276327 tptp.product_prod_nat_nat)) (= (ll_1582 BOUND_VARIABLE_276326 BOUND_VARIABLE_276327) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_276327)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3476 BOUND_VARIABLE_276326)) (@ (@ tptp.insert_nat BOUND_VARIABLE_276326) (@ tptp.collect_nat ll_1295))))))))) (let ((_let_18389 (forall ((BOUND_VARIABLE_276287 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_276288 tptp.produc3843707927480180839at_nat)) (= (ll_1581 BOUND_VARIABLE_276287 BOUND_VARIABLE_276288) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_276288)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3475 BOUND_VARIABLE_276287)) (@ (@ tptp.insert9200635055090092081at_nat BOUND_VARIABLE_276287) tptp.bot_bo3083307316010499117at_nat)))))))) (let ((_let_18390 (forall ((BOUND_VARIABLE_276248 tptp.int) (BOUND_VARIABLE_276249 tptp.product_prod_int_int)) (= (ll_1580 BOUND_VARIABLE_276248 BOUND_VARIABLE_276249) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_276249)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3474 BOUND_VARIABLE_276248)) (@ (@ tptp.insert_int BOUND_VARIABLE_276248) tptp.bot_bot_set_int)))))))) (let ((_let_18391 (forall ((BOUND_VARIABLE_276243 tptp.product_prod_int_int)) (not (ll_1579 BOUND_VARIABLE_276243))))) (let ((_let_18392 (forall ((BOUND_VARIABLE_276213 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_276214 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1578 BOUND_VARIABLE_276213 BOUND_VARIABLE_276214) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3473 BOUND_VARIABLE_276214)) (@ (@ tptp.insert2290795007606087959at_nat BOUND_VARIABLE_276213) tptp.bot_bo1534825418459847827at_nat))))))) (let ((_let_18393 (forall ((BOUND_VARIABLE_276195 tptp.set_nat) (BOUND_VARIABLE_276196 tptp.nat)) (= (ll_1577 BOUND_VARIABLE_276195 BOUND_VARIABLE_276196) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276196)) (@ (@ tptp.image_nat_set_nat ll_3472) BOUND_VARIABLE_276195))))))) (let ((_let_18394 (forall ((BOUND_VARIABLE_276177 tptp.set_o) (BOUND_VARIABLE_276178 Bool)) (= (ll_1576 BOUND_VARIABLE_276177 BOUND_VARIABLE_276178) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_276178)) (@ (@ tptp.image_o_set_o ll_3471) BOUND_VARIABLE_276177))))))) (let ((_let_18395 (forall ((BOUND_VARIABLE_276159 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_276160 tptp.product_prod_nat_nat)) (= (ll_1575 BOUND_VARIABLE_276159 BOUND_VARIABLE_276160) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_276160)) (@ (@ tptp.image_5423882813909314213at_nat ll_3470) BOUND_VARIABLE_276159))))))) (let ((_let_18396 (forall ((BOUND_VARIABLE_276141 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_276142 tptp.produc3843707927480180839at_nat)) (= (ll_1574 BOUND_VARIABLE_276141 BOUND_VARIABLE_276142) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_276142)) (@ (@ tptp.image_7364710425340685989at_nat ll_3469) BOUND_VARIABLE_276141))))))) (let ((_let_18397 (forall ((BOUND_VARIABLE_276134 tptp.product_unit)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_276134) tptp.bot_bo3957492148770167129t_unit) (ll_1573 BOUND_VARIABLE_276134))))) (let ((_let_18398 (forall ((BOUND_VARIABLE_276101 tptp.product_prod_nat_nat) (BOUND_VARIABLE_276102 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_276103 tptp.product_prod_nat_nat)) (= (ll_1572 BOUND_VARIABLE_276101 BOUND_VARIABLE_276102 BOUND_VARIABLE_276103) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_276103)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3468 BOUND_VARIABLE_276101) BOUND_VARIABLE_276102)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18399 (forall ((BOUND_VARIABLE_276066 tptp.product_prod_nat_nat) (BOUND_VARIABLE_276067 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_276068 tptp.set_Product_unit) (BOUND_VARIABLE_276069 tptp.product_prod_nat_nat)) (= (ll_1571 BOUND_VARIABLE_276066 BOUND_VARIABLE_276067 BOUND_VARIABLE_276068 BOUND_VARIABLE_276069) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_276069)) (@ (@ tptp.image_3617315916088684441at_nat (@ (@ ll_3467 BOUND_VARIABLE_276066) BOUND_VARIABLE_276067)) BOUND_VARIABLE_276068))))))) (let ((_let_18400 (forall ((BOUND_VARIABLE_276053 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_276054 tptp.set_Product_unit) (BOUND_VARIABLE_276055 tptp.product_prod_nat_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_276055)) (@ (@ tptp.image_3617315916088684441at_nat BOUND_VARIABLE_276053) BOUND_VARIABLE_276054))) (ll_1570 BOUND_VARIABLE_276053 BOUND_VARIABLE_276054 BOUND_VARIABLE_276055))))) (let ((_let_18401 (forall ((BOUND_VARIABLE_276020 tptp.nat) (BOUND_VARIABLE_276021 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_276022 tptp.nat)) (= (ll_1569 BOUND_VARIABLE_276020 BOUND_VARIABLE_276021 BOUND_VARIABLE_276022) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_276022)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3466 BOUND_VARIABLE_276020) BOUND_VARIABLE_276021)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18402 (forall ((BOUND_VARIABLE_275985 tptp.nat) (BOUND_VARIABLE_275986 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_275987 tptp.set_nat) (BOUND_VARIABLE_275988 tptp.nat)) (= (ll_1568 BOUND_VARIABLE_275985 BOUND_VARIABLE_275986 BOUND_VARIABLE_275987 BOUND_VARIABLE_275988) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275988)) (@ (@ tptp.image_nat_set_nat (@ (@ ll_3465 BOUND_VARIABLE_275985) BOUND_VARIABLE_275986)) BOUND_VARIABLE_275987))))))) (let ((_let_18403 (forall ((BOUND_VARIABLE_275972 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_275973 tptp.set_nat) (BOUND_VARIABLE_275974 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275974)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_275972) BOUND_VARIABLE_275973))) (ll_1567 BOUND_VARIABLE_275972 BOUND_VARIABLE_275973 BOUND_VARIABLE_275974))))) (let ((_let_18404 (forall ((BOUND_VARIABLE_275939 tptp.nat) (BOUND_VARIABLE_275940 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_275941 tptp.nat)) (= (ll_1566 BOUND_VARIABLE_275939 BOUND_VARIABLE_275940 BOUND_VARIABLE_275941) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275941)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3464 BOUND_VARIABLE_275939) BOUND_VARIABLE_275940)) tptp.bot_bot_set_o))))))) (let ((_let_18405 (forall ((BOUND_VARIABLE_275904 tptp.nat) (BOUND_VARIABLE_275905 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_275906 tptp.set_o) (BOUND_VARIABLE_275907 tptp.nat)) (= (ll_1565 BOUND_VARIABLE_275904 BOUND_VARIABLE_275905 BOUND_VARIABLE_275906 BOUND_VARIABLE_275907) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275907)) (@ (@ tptp.image_o_set_nat (@ (@ ll_3463 BOUND_VARIABLE_275904) BOUND_VARIABLE_275905)) BOUND_VARIABLE_275906))))))) (let ((_let_18406 (forall ((BOUND_VARIABLE_275891 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_275892 tptp.set_o) (BOUND_VARIABLE_275893 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275893)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_275891) BOUND_VARIABLE_275892))) (ll_1564 BOUND_VARIABLE_275891 BOUND_VARIABLE_275892 BOUND_VARIABLE_275893))))) (let ((_let_18407 (forall ((BOUND_VARIABLE_275858 tptp.nat) (BOUND_VARIABLE_275859 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_275860 tptp.nat)) (= (ll_1563 BOUND_VARIABLE_275858 BOUND_VARIABLE_275859 BOUND_VARIABLE_275860) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275860)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3462 BOUND_VARIABLE_275858) BOUND_VARIABLE_275859)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18408 (forall ((BOUND_VARIABLE_275823 tptp.nat) (BOUND_VARIABLE_275824 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_275825 tptp.set_Product_unit) (BOUND_VARIABLE_275826 tptp.nat)) (= (ll_1562 BOUND_VARIABLE_275823 BOUND_VARIABLE_275824 BOUND_VARIABLE_275825 BOUND_VARIABLE_275826) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275826)) (@ (@ tptp.image_8173849991827986510et_nat (@ (@ ll_3461 BOUND_VARIABLE_275823) BOUND_VARIABLE_275824)) BOUND_VARIABLE_275825))))))) (let ((_let_18409 (forall ((BOUND_VARIABLE_275810 (-> tptp.product_unit tptp.set_nat)) (BOUND_VARIABLE_275811 tptp.set_Product_unit) (BOUND_VARIABLE_275812 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275812)) (@ (@ tptp.image_8173849991827986510et_nat BOUND_VARIABLE_275810) BOUND_VARIABLE_275811))) (ll_1561 BOUND_VARIABLE_275810 BOUND_VARIABLE_275811 BOUND_VARIABLE_275812))))) (let ((_let_18410 (forall ((BOUND_VARIABLE_275777 Bool) (BOUND_VARIABLE_275778 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_275779 Bool)) (= (ll_1560 BOUND_VARIABLE_275777 BOUND_VARIABLE_275778 BOUND_VARIABLE_275779) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275779)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3460 BOUND_VARIABLE_275777) BOUND_VARIABLE_275778)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18411 (forall ((BOUND_VARIABLE_275742 Bool) (BOUND_VARIABLE_275743 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_275744 tptp.set_nat) (BOUND_VARIABLE_275745 Bool)) (= (ll_1559 BOUND_VARIABLE_275742 BOUND_VARIABLE_275743 BOUND_VARIABLE_275744 BOUND_VARIABLE_275745) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275745)) (@ (@ tptp.image_nat_set_o (@ (@ ll_3459 BOUND_VARIABLE_275742) BOUND_VARIABLE_275743)) BOUND_VARIABLE_275744))))))) (let ((_let_18412 (forall ((BOUND_VARIABLE_275729 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_275730 tptp.set_nat) (BOUND_VARIABLE_275731 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275731)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_275729) BOUND_VARIABLE_275730))) (ll_1558 BOUND_VARIABLE_275729 BOUND_VARIABLE_275730 BOUND_VARIABLE_275731))))) (let ((_let_18413 (forall ((BOUND_VARIABLE_275719 tptp.product_unit) (BOUND_VARIABLE_275720 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_275721 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_275719) (@ BOUND_VARIABLE_275720 BOUND_VARIABLE_275721)) (ll_1557 BOUND_VARIABLE_275719 BOUND_VARIABLE_275720 BOUND_VARIABLE_275721))))) (let ((_let_18414 (forall ((BOUND_VARIABLE_275709 tptp.product_unit) (BOUND_VARIABLE_275710 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_275711 tptp.nat)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_275709) (@ BOUND_VARIABLE_275710 BOUND_VARIABLE_275711)) (ll_1556 BOUND_VARIABLE_275709 BOUND_VARIABLE_275710 BOUND_VARIABLE_275711))))) (let ((_let_18415 (forall ((BOUND_VARIABLE_275676 Bool) (BOUND_VARIABLE_275677 (-> Bool tptp.set_o)) (BOUND_VARIABLE_275678 Bool)) (= (ll_1555 BOUND_VARIABLE_275676 BOUND_VARIABLE_275677 BOUND_VARIABLE_275678) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275678)) (@ (@ tptp.image_o_set_o (@ (@ ll_3458 BOUND_VARIABLE_275676) BOUND_VARIABLE_275677)) tptp.bot_bot_set_o))))))) (let ((_let_18416 (forall ((BOUND_VARIABLE_275641 Bool) (BOUND_VARIABLE_275642 (-> Bool tptp.set_o)) (BOUND_VARIABLE_275643 tptp.set_o) (BOUND_VARIABLE_275644 Bool)) (= (ll_1554 BOUND_VARIABLE_275641 BOUND_VARIABLE_275642 BOUND_VARIABLE_275643 BOUND_VARIABLE_275644) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275644)) (@ (@ tptp.image_o_set_o (@ (@ ll_3457 BOUND_VARIABLE_275641) BOUND_VARIABLE_275642)) BOUND_VARIABLE_275643))))))) (let ((_let_18417 (forall ((BOUND_VARIABLE_275628 (-> Bool tptp.set_o)) (BOUND_VARIABLE_275629 tptp.set_o) (BOUND_VARIABLE_275630 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275630)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_275628) BOUND_VARIABLE_275629))) (ll_1553 BOUND_VARIABLE_275628 BOUND_VARIABLE_275629 BOUND_VARIABLE_275630))))) (let ((_let_18418 (forall ((BOUND_VARIABLE_275618 tptp.product_unit) (BOUND_VARIABLE_275619 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_275620 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_275618) (@ BOUND_VARIABLE_275619 BOUND_VARIABLE_275620)) (ll_1552 BOUND_VARIABLE_275618 BOUND_VARIABLE_275619 BOUND_VARIABLE_275620))))) (let ((_let_18419 (forall ((BOUND_VARIABLE_275608 tptp.product_unit) (BOUND_VARIABLE_275609 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_275610 Bool)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_275608) (@ BOUND_VARIABLE_275609 BOUND_VARIABLE_275610)) (ll_1551 BOUND_VARIABLE_275608 BOUND_VARIABLE_275609 BOUND_VARIABLE_275610))))) (let ((_let_18420 (forall ((BOUND_VARIABLE_275575 Bool) (BOUND_VARIABLE_275576 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_275577 Bool)) (= (ll_1550 BOUND_VARIABLE_275575 BOUND_VARIABLE_275576 BOUND_VARIABLE_275577) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275577)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3456 BOUND_VARIABLE_275575) BOUND_VARIABLE_275576)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18421 (forall ((BOUND_VARIABLE_275540 Bool) (BOUND_VARIABLE_275541 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_275542 tptp.set_Product_unit) (BOUND_VARIABLE_275543 Bool)) (= (ll_1549 BOUND_VARIABLE_275540 BOUND_VARIABLE_275541 BOUND_VARIABLE_275542 BOUND_VARIABLE_275543) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275543)) (@ (@ tptp.image_6930536745178679216_set_o (@ (@ ll_3455 BOUND_VARIABLE_275540) BOUND_VARIABLE_275541)) BOUND_VARIABLE_275542))))))) (let ((_let_18422 (forall ((BOUND_VARIABLE_275527 (-> tptp.product_unit tptp.set_o)) (BOUND_VARIABLE_275528 tptp.set_Product_unit) (BOUND_VARIABLE_275529 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275529)) (@ (@ tptp.image_6930536745178679216_set_o BOUND_VARIABLE_275527) BOUND_VARIABLE_275528))) (ll_1548 BOUND_VARIABLE_275527 BOUND_VARIABLE_275528 BOUND_VARIABLE_275529))))) (let ((_let_18423 (forall ((BOUND_VARIABLE_275517 tptp.product_unit) (BOUND_VARIABLE_275518 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_275519 tptp.product_unit)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_275517) (@ BOUND_VARIABLE_275518 BOUND_VARIABLE_275519)) (ll_1547 BOUND_VARIABLE_275517 BOUND_VARIABLE_275518 BOUND_VARIABLE_275519))))) (let ((_let_18424 (forall ((BOUND_VARIABLE_275507 tptp.product_unit) (BOUND_VARIABLE_275508 (-> tptp.product_unit tptp.set_Product_unit)) (BOUND_VARIABLE_275509 tptp.product_unit)) (= (@ (@ tptp.insert_Product_unit BOUND_VARIABLE_275507) (@ BOUND_VARIABLE_275508 BOUND_VARIABLE_275509)) (ll_1546 BOUND_VARIABLE_275507 BOUND_VARIABLE_275508 BOUND_VARIABLE_275509))))) (let ((_let_18425 (forall ((BOUND_VARIABLE_275483 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_275484 tptp.product_prod_nat_nat)) (= (ll_1545 BOUND_VARIABLE_275483 BOUND_VARIABLE_275484) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_275484)) (@ (@ tptp.image_3617315916088684441at_nat (@ ll_3454 BOUND_VARIABLE_275483)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18426 (forall ((BOUND_VARIABLE_275458 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_275459 tptp.set_Product_unit) (BOUND_VARIABLE_275460 tptp.product_prod_nat_nat)) (= (ll_1544 BOUND_VARIABLE_275458 BOUND_VARIABLE_275459 BOUND_VARIABLE_275460) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_275460)) (@ (@ tptp.image_3617315916088684441at_nat (@ ll_3453 BOUND_VARIABLE_275458)) BOUND_VARIABLE_275459))))))) (let ((_let_18427 (forall ((BOUND_VARIABLE_275434 tptp.set_nat) (BOUND_VARIABLE_275435 tptp.nat)) (= (ll_1543 BOUND_VARIABLE_275434 BOUND_VARIABLE_275435) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275435)) (@ (@ tptp.image_nat_set_nat (@ ll_3452 BOUND_VARIABLE_275434)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18428 (forall ((BOUND_VARIABLE_275409 tptp.set_nat) (BOUND_VARIABLE_275410 tptp.set_nat) (BOUND_VARIABLE_275411 tptp.nat)) (= (ll_1542 BOUND_VARIABLE_275409 BOUND_VARIABLE_275410 BOUND_VARIABLE_275411) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275411)) (@ (@ tptp.image_nat_set_nat (@ ll_3451 BOUND_VARIABLE_275409)) BOUND_VARIABLE_275410))))))) (let ((_let_18429 (forall ((BOUND_VARIABLE_275385 tptp.set_nat) (BOUND_VARIABLE_275386 tptp.nat)) (= (ll_1541 BOUND_VARIABLE_275385 BOUND_VARIABLE_275386) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275386)) (@ (@ tptp.image_o_set_nat (@ ll_3450 BOUND_VARIABLE_275385)) tptp.bot_bot_set_o))))))) (let ((_let_18430 (forall ((BOUND_VARIABLE_275360 tptp.set_nat) (BOUND_VARIABLE_275361 tptp.set_o) (BOUND_VARIABLE_275362 tptp.nat)) (= (ll_1540 BOUND_VARIABLE_275360 BOUND_VARIABLE_275361 BOUND_VARIABLE_275362) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275362)) (@ (@ tptp.image_o_set_nat (@ ll_3449 BOUND_VARIABLE_275360)) BOUND_VARIABLE_275361))))))) (let ((_let_18431 (forall ((BOUND_VARIABLE_275336 tptp.set_nat) (BOUND_VARIABLE_275337 tptp.nat)) (= (ll_1539 BOUND_VARIABLE_275336 BOUND_VARIABLE_275337) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275337)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3448 BOUND_VARIABLE_275336)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18432 (forall ((BOUND_VARIABLE_275311 tptp.set_nat) (BOUND_VARIABLE_275312 tptp.set_Product_unit) (BOUND_VARIABLE_275313 tptp.nat)) (= (ll_1538 BOUND_VARIABLE_275311 BOUND_VARIABLE_275312 BOUND_VARIABLE_275313) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275313)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3447 BOUND_VARIABLE_275311)) BOUND_VARIABLE_275312))))))) (let ((_let_18433 (forall ((BOUND_VARIABLE_275287 tptp.set_o) (BOUND_VARIABLE_275288 Bool)) (= (ll_1537 BOUND_VARIABLE_275287 BOUND_VARIABLE_275288) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275288)) (@ (@ tptp.image_nat_set_o (@ ll_3446 BOUND_VARIABLE_275287)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18434 (forall ((BOUND_VARIABLE_275262 tptp.set_o) (BOUND_VARIABLE_275263 tptp.set_nat) (BOUND_VARIABLE_275264 Bool)) (= (ll_1536 BOUND_VARIABLE_275262 BOUND_VARIABLE_275263 BOUND_VARIABLE_275264) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275264)) (@ (@ tptp.image_nat_set_o (@ ll_3445 BOUND_VARIABLE_275262)) BOUND_VARIABLE_275263))))))) (let ((_let_18435 (forall ((BOUND_VARIABLE_275256 tptp.set_Product_unit) (BOUND_VARIABLE_275257 tptp.nat)) (= BOUND_VARIABLE_275256 (ll_1535 BOUND_VARIABLE_275256 BOUND_VARIABLE_275257))))) (let ((_let_18436 (forall ((BOUND_VARIABLE_275250 tptp.set_Product_unit) (BOUND_VARIABLE_275251 tptp.nat)) (= BOUND_VARIABLE_275250 (ll_1534 BOUND_VARIABLE_275250 BOUND_VARIABLE_275251))))) (let ((_let_18437 (forall ((BOUND_VARIABLE_275226 tptp.set_o) (BOUND_VARIABLE_275227 Bool)) (= (ll_1533 BOUND_VARIABLE_275226 BOUND_VARIABLE_275227) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275227)) (@ (@ tptp.image_o_set_o (@ ll_3444 BOUND_VARIABLE_275226)) tptp.bot_bot_set_o))))))) (let ((_let_18438 (forall ((BOUND_VARIABLE_275201 tptp.set_o) (BOUND_VARIABLE_275202 tptp.set_o) (BOUND_VARIABLE_275203 Bool)) (= (ll_1532 BOUND_VARIABLE_275201 BOUND_VARIABLE_275202 BOUND_VARIABLE_275203) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275203)) (@ (@ tptp.image_o_set_o (@ ll_3443 BOUND_VARIABLE_275201)) BOUND_VARIABLE_275202))))))) (let ((_let_18439 (forall ((BOUND_VARIABLE_275195 tptp.set_Product_unit) (BOUND_VARIABLE_275196 Bool)) (= BOUND_VARIABLE_275195 (ll_1531 BOUND_VARIABLE_275195 BOUND_VARIABLE_275196))))) (let ((_let_18440 (forall ((BOUND_VARIABLE_275189 tptp.set_Product_unit) (BOUND_VARIABLE_275190 Bool)) (= BOUND_VARIABLE_275189 (ll_1530 BOUND_VARIABLE_275189 BOUND_VARIABLE_275190))))) (let ((_let_18441 (forall ((BOUND_VARIABLE_275165 tptp.set_o) (BOUND_VARIABLE_275166 Bool)) (= (ll_1529 BOUND_VARIABLE_275165 BOUND_VARIABLE_275166) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275166)) (@ (@ tptp.image_6930536745178679216_set_o (@ ll_3442 BOUND_VARIABLE_275165)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18442 (forall ((BOUND_VARIABLE_275140 tptp.set_o) (BOUND_VARIABLE_275141 tptp.set_Product_unit) (BOUND_VARIABLE_275142 Bool)) (= (ll_1528 BOUND_VARIABLE_275140 BOUND_VARIABLE_275141 BOUND_VARIABLE_275142) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_275142)) (@ (@ tptp.image_6930536745178679216_set_o (@ ll_3441 BOUND_VARIABLE_275140)) BOUND_VARIABLE_275141))))))) (let ((_let_18443 (forall ((BOUND_VARIABLE_275134 tptp.set_Product_unit) (BOUND_VARIABLE_275135 tptp.product_unit)) (= BOUND_VARIABLE_275134 (ll_1527 BOUND_VARIABLE_275134 BOUND_VARIABLE_275135))))) (let ((_let_18444 (forall ((BOUND_VARIABLE_275128 tptp.set_Product_unit) (BOUND_VARIABLE_275129 tptp.product_unit)) (= BOUND_VARIABLE_275128 (ll_1526 BOUND_VARIABLE_275128 BOUND_VARIABLE_275129))))) (let ((_let_18445 (forall ((BOUND_VARIABLE_275103 tptp.set_nat) (BOUND_VARIABLE_275104 tptp.set_nat) (BOUND_VARIABLE_275105 tptp.nat)) (= (ll_1525 BOUND_VARIABLE_275103 BOUND_VARIABLE_275104 BOUND_VARIABLE_275105) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275105)) (@ (@ tptp.image_nat_set_nat (@ ll_3440 BOUND_VARIABLE_275103)) BOUND_VARIABLE_275104))))))) (let ((_let_18446 (forall ((BOUND_VARIABLE_275078 tptp.set_nat) (BOUND_VARIABLE_275079 tptp.set_o) (BOUND_VARIABLE_275080 tptp.nat)) (= (ll_1524 BOUND_VARIABLE_275078 BOUND_VARIABLE_275079 BOUND_VARIABLE_275080) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275080)) (@ (@ tptp.image_o_set_nat (@ ll_3439 BOUND_VARIABLE_275078)) BOUND_VARIABLE_275079))))))) (let ((_let_18447 (forall ((BOUND_VARIABLE_275053 tptp.set_nat) (BOUND_VARIABLE_275054 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_275055 tptp.nat)) (= (ll_1523 BOUND_VARIABLE_275053 BOUND_VARIABLE_275054 BOUND_VARIABLE_275055) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275055)) (@ (@ tptp.image_15824709712370754et_nat (@ ll_3438 BOUND_VARIABLE_275053)) BOUND_VARIABLE_275054))))))) (let ((_let_18448 (forall ((BOUND_VARIABLE_275028 tptp.set_nat) (BOUND_VARIABLE_275029 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_275030 tptp.nat)) (= (ll_1522 BOUND_VARIABLE_275028 BOUND_VARIABLE_275029 BOUND_VARIABLE_275030) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275030)) (@ (@ tptp.image_3160451284896210088et_nat (@ ll_3437 BOUND_VARIABLE_275028)) BOUND_VARIABLE_275029))))))) (let ((_let_18449 (forall ((BOUND_VARIABLE_275003 tptp.set_nat) (BOUND_VARIABLE_275004 tptp.set_Product_unit) (BOUND_VARIABLE_275005 tptp.nat)) (= (ll_1521 BOUND_VARIABLE_275003 BOUND_VARIABLE_275004 BOUND_VARIABLE_275005) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_275005)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3436 BOUND_VARIABLE_275003)) BOUND_VARIABLE_275004))))))) (let ((_let_18450 (forall ((BOUND_VARIABLE_274977 tptp.set_nat) (BOUND_VARIABLE_274978 tptp.set_nat) (BOUND_VARIABLE_274979 tptp.nat)) (= (ll_1520 BOUND_VARIABLE_274977 BOUND_VARIABLE_274978 BOUND_VARIABLE_274979) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274979)) (@ (@ tptp.image_nat_set_nat (@ ll_3435 BOUND_VARIABLE_274977)) BOUND_VARIABLE_274978))))))) (let ((_let_18451 (forall ((BOUND_VARIABLE_274952 tptp.set_nat) (BOUND_VARIABLE_274953 tptp.set_o) (BOUND_VARIABLE_274954 tptp.nat)) (= (ll_1519 BOUND_VARIABLE_274952 BOUND_VARIABLE_274953 BOUND_VARIABLE_274954) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274954)) (@ (@ tptp.image_o_set_nat (@ ll_3434 BOUND_VARIABLE_274952)) BOUND_VARIABLE_274953))))))) (let ((_let_18452 (forall ((BOUND_VARIABLE_274926 tptp.set_nat) (BOUND_VARIABLE_274927 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274928 tptp.nat)) (= (ll_1518 BOUND_VARIABLE_274926 BOUND_VARIABLE_274927 BOUND_VARIABLE_274928) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274928)) (@ (@ tptp.image_15824709712370754et_nat (@ ll_3433 BOUND_VARIABLE_274926)) BOUND_VARIABLE_274927))))))) (let ((_let_18453 (forall ((BOUND_VARIABLE_274900 tptp.set_nat) (BOUND_VARIABLE_274901 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_274902 tptp.nat)) (= (ll_1517 BOUND_VARIABLE_274900 BOUND_VARIABLE_274901 BOUND_VARIABLE_274902) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274902)) (@ (@ tptp.image_3160451284896210088et_nat (@ ll_3432 BOUND_VARIABLE_274900)) BOUND_VARIABLE_274901))))))) (let ((_let_18454 (forall ((BOUND_VARIABLE_274875 tptp.set_nat) (BOUND_VARIABLE_274876 tptp.set_Product_unit) (BOUND_VARIABLE_274877 tptp.nat)) (= (ll_1516 BOUND_VARIABLE_274875 BOUND_VARIABLE_274876 BOUND_VARIABLE_274877) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274877)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3431 BOUND_VARIABLE_274875)) BOUND_VARIABLE_274876))))))) (let ((_let_18455 (forall ((BOUND_VARIABLE_274864 tptp.set_set_nat) (BOUND_VARIABLE_274865 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274865)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.image_nat_nat tptp.id_nat)) BOUND_VARIABLE_274864))) (ll_1515 BOUND_VARIABLE_274864 BOUND_VARIABLE_274865))))) (let ((_let_18456 (forall ((BOUND_VARIABLE_274854 tptp.set_set_nat) (BOUND_VARIABLE_274855 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274855)) BOUND_VARIABLE_274854)) (ll_1514 BOUND_VARIABLE_274854 BOUND_VARIABLE_274855))))) (let ((_let_18457 (forall ((BOUND_VARIABLE_274843 tptp.set_set_nat) (BOUND_VARIABLE_274844 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274844)) (@ (@ tptp.image_7916887816326733075et_nat (@ tptp.image_nat_nat tptp.id_nat)) BOUND_VARIABLE_274843))) (ll_1513 BOUND_VARIABLE_274843 BOUND_VARIABLE_274844))))) (let ((_let_18458 (forall ((BOUND_VARIABLE_274833 tptp.set_set_nat) (BOUND_VARIABLE_274834 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274834)) BOUND_VARIABLE_274833)) (ll_1512 BOUND_VARIABLE_274833 BOUND_VARIABLE_274834))))) (let ((_let_18459 (forall ((BOUND_VARIABLE_274820 (-> tptp.product_prod_nat_nat tptp.set_o)) (BOUND_VARIABLE_274821 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274822 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274822)) (@ (@ tptp.image_501298686397505212_set_o BOUND_VARIABLE_274820) BOUND_VARIABLE_274821))) (ll_1511 BOUND_VARIABLE_274820 BOUND_VARIABLE_274821 BOUND_VARIABLE_274822))))) (let ((_let_18460 (forall ((BOUND_VARIABLE_274807 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_274808 tptp.set_int) (BOUND_VARIABLE_274809 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274809)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_274807) BOUND_VARIABLE_274808))) (ll_1510 BOUND_VARIABLE_274807 BOUND_VARIABLE_274808 BOUND_VARIABLE_274809))))) (let ((_let_18461 (forall ((BOUND_VARIABLE_274794 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_274795 tptp.set_nat) (BOUND_VARIABLE_274796 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274796)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_274794) BOUND_VARIABLE_274795))) (ll_1509 BOUND_VARIABLE_274794 BOUND_VARIABLE_274795 BOUND_VARIABLE_274796))))) (let ((_let_18462 (forall ((BOUND_VARIABLE_274781 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_274782 tptp.set_o) (BOUND_VARIABLE_274783 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274783)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_274781) BOUND_VARIABLE_274782))) (ll_1508 BOUND_VARIABLE_274781 BOUND_VARIABLE_274782 BOUND_VARIABLE_274783))))) (let ((_let_18463 (forall ((BOUND_VARIABLE_274768 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_274769 tptp.set_int) (BOUND_VARIABLE_274770 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_274770)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_274768) BOUND_VARIABLE_274769))) (ll_1507 BOUND_VARIABLE_274768 BOUND_VARIABLE_274769 BOUND_VARIABLE_274770))))) (let ((_let_18464 (forall ((BOUND_VARIABLE_274755 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_274756 tptp.set_int) (BOUND_VARIABLE_274757 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274757)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_274755) BOUND_VARIABLE_274756))) (ll_1506 BOUND_VARIABLE_274755 BOUND_VARIABLE_274756 BOUND_VARIABLE_274757))))) (let ((_let_18465 (forall ((BOUND_VARIABLE_274742 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_274743 tptp.set_nat) (BOUND_VARIABLE_274744 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_274744)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_274742) BOUND_VARIABLE_274743))) (ll_1505 BOUND_VARIABLE_274742 BOUND_VARIABLE_274743 BOUND_VARIABLE_274744))))) (let ((_let_18466 (forall ((BOUND_VARIABLE_274729 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_274730 tptp.set_nat) (BOUND_VARIABLE_274731 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274731)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_274729) BOUND_VARIABLE_274730))) (ll_1504 BOUND_VARIABLE_274729 BOUND_VARIABLE_274730 BOUND_VARIABLE_274731))))) (let ((_let_18467 (forall ((BOUND_VARIABLE_274716 (-> Bool tptp.set_int)) (BOUND_VARIABLE_274717 tptp.set_o) (BOUND_VARIABLE_274718 tptp.int)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_274718)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_274716) BOUND_VARIABLE_274717))) (ll_1503 BOUND_VARIABLE_274716 BOUND_VARIABLE_274717 BOUND_VARIABLE_274718))))) (let ((_let_18468 (forall ((BOUND_VARIABLE_274703 (-> Bool tptp.set_o)) (BOUND_VARIABLE_274704 tptp.set_o) (BOUND_VARIABLE_274705 Bool)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274705)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_274703) BOUND_VARIABLE_274704))) (ll_1502 BOUND_VARIABLE_274703 BOUND_VARIABLE_274704 BOUND_VARIABLE_274705))))) (let ((_let_18469 (forall ((BOUND_VARIABLE_274690 (-> tptp.product_prod_nat_nat tptp.set_o)) (BOUND_VARIABLE_274691 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274692 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274692)) (@ (@ tptp.image_501298686397505212_set_o BOUND_VARIABLE_274690) BOUND_VARIABLE_274691))) (ll_1501 BOUND_VARIABLE_274690 BOUND_VARIABLE_274691 BOUND_VARIABLE_274692))))) (let ((_let_18470 (forall ((BOUND_VARIABLE_274677 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_274678 tptp.set_int) (BOUND_VARIABLE_274679 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274679)) (@ (@ tptp.image_int_set_nat BOUND_VARIABLE_274677) BOUND_VARIABLE_274678))) (ll_1500 BOUND_VARIABLE_274677 BOUND_VARIABLE_274678 BOUND_VARIABLE_274679))))) (let ((_let_18471 (forall ((BOUND_VARIABLE_274664 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_274665 tptp.set_nat) (BOUND_VARIABLE_274666 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274666)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_274664) BOUND_VARIABLE_274665))) (ll_1499 BOUND_VARIABLE_274664 BOUND_VARIABLE_274665 BOUND_VARIABLE_274666))))) (let ((_let_18472 (forall ((BOUND_VARIABLE_274651 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_274652 tptp.set_o) (BOUND_VARIABLE_274653 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274653)) (@ (@ tptp.image_o_set_nat BOUND_VARIABLE_274651) BOUND_VARIABLE_274652))) (ll_1498 BOUND_VARIABLE_274651 BOUND_VARIABLE_274652 BOUND_VARIABLE_274653))))) (let ((_let_18473 (forall ((BOUND_VARIABLE_274638 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_274639 tptp.set_int) (BOUND_VARIABLE_274640 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_274640)) (@ (@ tptp.image_int_set_int BOUND_VARIABLE_274638) BOUND_VARIABLE_274639))) (ll_1497 BOUND_VARIABLE_274638 BOUND_VARIABLE_274639 BOUND_VARIABLE_274640))))) (let ((_let_18474 (forall ((BOUND_VARIABLE_274625 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_274626 tptp.set_int) (BOUND_VARIABLE_274627 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274627)) (@ (@ tptp.image_int_set_o BOUND_VARIABLE_274625) BOUND_VARIABLE_274626))) (ll_1496 BOUND_VARIABLE_274625 BOUND_VARIABLE_274626 BOUND_VARIABLE_274627))))) (let ((_let_18475 (forall ((BOUND_VARIABLE_274612 (-> tptp.nat tptp.set_int)) (BOUND_VARIABLE_274613 tptp.set_nat) (BOUND_VARIABLE_274614 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_274614)) (@ (@ tptp.image_nat_set_int BOUND_VARIABLE_274612) BOUND_VARIABLE_274613))) (ll_1495 BOUND_VARIABLE_274612 BOUND_VARIABLE_274613 BOUND_VARIABLE_274614))))) (let ((_let_18476 (forall ((BOUND_VARIABLE_274599 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_274600 tptp.set_nat) (BOUND_VARIABLE_274601 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274601)) (@ (@ tptp.image_nat_set_o BOUND_VARIABLE_274599) BOUND_VARIABLE_274600))) (ll_1494 BOUND_VARIABLE_274599 BOUND_VARIABLE_274600 BOUND_VARIABLE_274601))))) (let ((_let_18477 (forall ((BOUND_VARIABLE_274586 (-> Bool tptp.set_int)) (BOUND_VARIABLE_274587 tptp.set_o) (BOUND_VARIABLE_274588 tptp.int)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_274588)) (@ (@ tptp.image_o_set_int BOUND_VARIABLE_274586) BOUND_VARIABLE_274587))) (ll_1493 BOUND_VARIABLE_274586 BOUND_VARIABLE_274587 BOUND_VARIABLE_274588))))) (let ((_let_18478 (forall ((BOUND_VARIABLE_274573 (-> Bool tptp.set_o)) (BOUND_VARIABLE_274574 tptp.set_o) (BOUND_VARIABLE_274575 Bool)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_o_o (@ tptp.member_o BOUND_VARIABLE_274575)) (@ (@ tptp.image_o_set_o BOUND_VARIABLE_274573) BOUND_VARIABLE_274574))) (ll_1492 BOUND_VARIABLE_274573 BOUND_VARIABLE_274574 BOUND_VARIABLE_274575))))) (let ((_let_18479 (forall ((BOUND_VARIABLE_274568 tptp.int)) (= BOUND_VARIABLE_274568 (ll_1491 BOUND_VARIABLE_274568))))) (let ((_let_18480 (forall ((BOUND_VARIABLE_274560 tptp.nat) (BOUND_VARIABLE_274561 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_274561) BOUND_VARIABLE_274560) (ll_1490 BOUND_VARIABLE_274560 BOUND_VARIABLE_274561))))) (let ((_let_18481 (forall ((BOUND_VARIABLE_274542 tptp.set_set_nat) (BOUND_VARIABLE_274543 tptp.nat)) (= (ll_1489 BOUND_VARIABLE_274542 BOUND_VARIABLE_274543) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274543)) (@ (@ tptp.image_7916887816326733075et_nat ll_3430) BOUND_VARIABLE_274542))))))) (let ((_let_18482 (forall ((BOUND_VARIABLE_274532 tptp.set_set_nat) (BOUND_VARIABLE_274533 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274533)) BOUND_VARIABLE_274532)) (ll_1488 BOUND_VARIABLE_274532 BOUND_VARIABLE_274533))))) (let ((_let_18483 (forall ((BOUND_VARIABLE_274527 tptp.nat)) (= BOUND_VARIABLE_274527 (ll_1487 BOUND_VARIABLE_274527))))) (let ((_let_18484 (forall ((BOUND_VARIABLE_274522 tptp.int)) (= BOUND_VARIABLE_274522 (ll_1486 BOUND_VARIABLE_274522))))) (let ((_let_18485 (forall ((BOUND_VARIABLE_274504 tptp.set_set_nat) (BOUND_VARIABLE_274505 tptp.nat)) (= (ll_1485 BOUND_VARIABLE_274504 BOUND_VARIABLE_274505) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274505)) (@ (@ tptp.image_7916887816326733075et_nat ll_3429) BOUND_VARIABLE_274504))))))) (let ((_let_18486 (forall ((BOUND_VARIABLE_274494 tptp.set_set_nat) (BOUND_VARIABLE_274495 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_274495)) BOUND_VARIABLE_274494)) (ll_1484 BOUND_VARIABLE_274494 BOUND_VARIABLE_274495))))) (let ((_let_18487 (forall ((BOUND_VARIABLE_274489 tptp.nat)) (= BOUND_VARIABLE_274489 (ll_1483 BOUND_VARIABLE_274489))))) (let ((_let_18488 (forall ((BOUND_VARIABLE_274455 tptp.set_nat) (BOUND_VARIABLE_274456 tptp.product_prod_nat_nat)) (= (ll_1482 BOUND_VARIABLE_274455 BOUND_VARIABLE_274456) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_274456)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3428 BOUND_VARIABLE_274455)) BOUND_VARIABLE_274455))))))) (let ((_let_18489 (forall ((BOUND_VARIABLE_274421 tptp.set_int) (BOUND_VARIABLE_274422 tptp.product_prod_int_int)) (= (ll_1481 BOUND_VARIABLE_274421 BOUND_VARIABLE_274422) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_274422)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3427 BOUND_VARIABLE_274421)) BOUND_VARIABLE_274421))))))) (let ((_let_18490 (forall ((BOUND_VARIABLE_274387 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_274388 tptp.produc3843707927480180839at_nat)) (= (ll_1480 BOUND_VARIABLE_274387 BOUND_VARIABLE_274388) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_274388)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3426 BOUND_VARIABLE_274387)) BOUND_VARIABLE_274387))))))) (let ((_let_18491 (forall ((BOUND_VARIABLE_274359 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_274360 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1479 BOUND_VARIABLE_274359 BOUND_VARIABLE_274360) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3425 BOUND_VARIABLE_274360)) BOUND_VARIABLE_274359)))))) (let ((_let_18492 (forall ((BOUND_VARIABLE_274353 tptp.set_o) (BOUND_VARIABLE_274354 Bool)) (= BOUND_VARIABLE_274353 (ll_1478 BOUND_VARIABLE_274353 BOUND_VARIABLE_274354))))) (let ((_let_18493 (forall ((BOUND_VARIABLE_274347 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_274348 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_274347 (ll_1477 BOUND_VARIABLE_274347 BOUND_VARIABLE_274348))))) (let ((_let_18494 (forall ((BOUND_VARIABLE_274341 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_274342 tptp.produc3843707927480180839at_nat)) (= BOUND_VARIABLE_274341 (ll_1476 BOUND_VARIABLE_274341 BOUND_VARIABLE_274342))))) (let ((_let_18495 (forall ((BOUND_VARIABLE_274324 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_274325 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274326 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274327 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_274324 BOUND_VARIABLE_274326) B4)) (not (@ (@ BOUND_VARIABLE_274325 B4) BOUND_VARIABLE_274327))))) (ll_1475 BOUND_VARIABLE_274324 BOUND_VARIABLE_274325 BOUND_VARIABLE_274326 BOUND_VARIABLE_274327))))) (let ((_let_18496 (forall ((BOUND_VARIABLE_274307 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_274308 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274309 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274310 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_274307 BOUND_VARIABLE_274309) B4)) (not (@ (@ BOUND_VARIABLE_274308 B4) BOUND_VARIABLE_274310))))) (ll_1474 BOUND_VARIABLE_274307 BOUND_VARIABLE_274308 BOUND_VARIABLE_274309 BOUND_VARIABLE_274310))))) (let ((_let_18497 (forall ((BOUND_VARIABLE_274290 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274291 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_274292 tptp.int) (BOUND_VARIABLE_274293 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_274290 BOUND_VARIABLE_274292) B4)) (not (@ (@ BOUND_VARIABLE_274291 B4) BOUND_VARIABLE_274293))))) (ll_1473 BOUND_VARIABLE_274290 BOUND_VARIABLE_274291 BOUND_VARIABLE_274292 BOUND_VARIABLE_274293))))) (let ((_let_18498 (forall ((BOUND_VARIABLE_274273 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_274274 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274275 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274276 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_274273 BOUND_VARIABLE_274275) B4)) (not (@ (@ BOUND_VARIABLE_274274 B4) BOUND_VARIABLE_274276))))) (ll_1472 BOUND_VARIABLE_274273 BOUND_VARIABLE_274274 BOUND_VARIABLE_274275 BOUND_VARIABLE_274276))))) (let ((_let_18499 (forall ((BOUND_VARIABLE_274256 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_274257 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274258 tptp.product_prod_nat_nat) (BOUND_VARIABLE_274259 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_274256 BOUND_VARIABLE_274258) B4)) (not (@ (@ BOUND_VARIABLE_274257 B4) BOUND_VARIABLE_274259))))) (ll_1471 BOUND_VARIABLE_274256 BOUND_VARIABLE_274257 BOUND_VARIABLE_274258 BOUND_VARIABLE_274259))))) (let ((_let_18500 (forall ((BOUND_VARIABLE_274239 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274240 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_274241 tptp.int) (BOUND_VARIABLE_274242 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_274239 BOUND_VARIABLE_274241) B4)) (not (@ (@ BOUND_VARIABLE_274240 B4) BOUND_VARIABLE_274242))))) (ll_1470 BOUND_VARIABLE_274239 BOUND_VARIABLE_274240 BOUND_VARIABLE_274241 BOUND_VARIABLE_274242))))) (let ((_let_18501 (forall ((BOUND_VARIABLE_274192 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_274193 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274194 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_274195 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_274196 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_274197 (-> tptp.int tptp.nat))) (= (ll_1469 BOUND_VARIABLE_274192 BOUND_VARIABLE_274193 BOUND_VARIABLE_274194 BOUND_VARIABLE_274195 BOUND_VARIABLE_274196 BOUND_VARIABLE_274197) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ ll_3424 BOUND_VARIABLE_274192) BOUND_VARIABLE_274193)) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_274196) BOUND_VARIABLE_274197) (@ (@ tptp.relcompp_nat_nat_nat BOUND_VARIABLE_274194) BOUND_VARIABLE_274195))))))) (let ((_let_18502 (forall ((BOUND_VARIABLE_274179 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274180 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_274181 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_274182 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_274179) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_274181) BOUND_VARIABLE_274182) BOUND_VARIABLE_274180)) (ll_1468 BOUND_VARIABLE_274179 BOUND_VARIABLE_274180 BOUND_VARIABLE_274181 BOUND_VARIABLE_274182))))) (let ((_let_18503 (forall ((BOUND_VARIABLE_274160 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274161 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274162 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_274163 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_274164 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_274165 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom2949942408940504938nt_int BOUND_VARIABLE_274160) BOUND_VARIABLE_274161)) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_274164) BOUND_VARIABLE_274165) (@ (@ tptp.relcompp_nat_nat_nat BOUND_VARIABLE_274162) BOUND_VARIABLE_274163))) (ll_1467 BOUND_VARIABLE_274160 BOUND_VARIABLE_274161 BOUND_VARIABLE_274162 BOUND_VARIABLE_274163 BOUND_VARIABLE_274164 BOUND_VARIABLE_274165))))) (let ((_let_18504 (forall ((BOUND_VARIABLE_274147 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_274148 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_274149 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_274150 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_274147) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_274149) BOUND_VARIABLE_274150) BOUND_VARIABLE_274148)) (ll_1466 BOUND_VARIABLE_274147 BOUND_VARIABLE_274148 BOUND_VARIABLE_274149 BOUND_VARIABLE_274150))))) (let ((_let_18505 (forall ((BOUND_VARIABLE_274130 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274131 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_274132 tptp.int) (BOUND_VARIABLE_274133 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_274130 BOUND_VARIABLE_274132) B4)) (not (@ (@ BOUND_VARIABLE_274131 B4) BOUND_VARIABLE_274133))))) (ll_1465 BOUND_VARIABLE_274130 BOUND_VARIABLE_274131 BOUND_VARIABLE_274132 BOUND_VARIABLE_274133))))) (let ((_let_18506 (forall ((BOUND_VARIABLE_274113 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274114 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_274115 tptp.int) (BOUND_VARIABLE_274116 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_274113 BOUND_VARIABLE_274115) B4)) (not (@ (@ BOUND_VARIABLE_274114 B4) BOUND_VARIABLE_274116))))) (ll_1464 BOUND_VARIABLE_274113 BOUND_VARIABLE_274114 BOUND_VARIABLE_274115 BOUND_VARIABLE_274116))))) (let ((_let_18507 (forall ((BOUND_VARIABLE_274066 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274067 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_274068 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274069 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274070 (-> tptp.int tptp.num)) (BOUND_VARIABLE_274071 (-> tptp.code_integer tptp.num))) (= (ll_1463 BOUND_VARIABLE_274066 BOUND_VARIABLE_274067 BOUND_VARIABLE_274068 BOUND_VARIABLE_274069 BOUND_VARIABLE_274070 BOUND_VARIABLE_274071) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ ll_3423 BOUND_VARIABLE_274066) BOUND_VARIABLE_274067)) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_274070) BOUND_VARIABLE_274071) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_274068) BOUND_VARIABLE_274069))))))) (let ((_let_18508 (forall ((BOUND_VARIABLE_274053 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274054 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274055 (-> tptp.int tptp.num)) (BOUND_VARIABLE_274056 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_274053) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_274055) BOUND_VARIABLE_274056) BOUND_VARIABLE_274054)) (ll_1462 BOUND_VARIABLE_274053 BOUND_VARIABLE_274054 BOUND_VARIABLE_274055 BOUND_VARIABLE_274056))))) (let ((_let_18509 (forall ((BOUND_VARIABLE_274040 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_274041 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274042 (-> tptp.int tptp.num)) (BOUND_VARIABLE_274043 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_274040) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_274042) BOUND_VARIABLE_274043) BOUND_VARIABLE_274041)) (ll_1461 BOUND_VARIABLE_274040 BOUND_VARIABLE_274041 BOUND_VARIABLE_274042 BOUND_VARIABLE_274043))))) (let ((_let_18510 (forall ((BOUND_VARIABLE_274021 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274022 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274023 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274024 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274025 (-> tptp.int tptp.num)) (BOUND_VARIABLE_274026 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcompp_int_int_int BOUND_VARIABLE_274021) BOUND_VARIABLE_274022)) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_274025) BOUND_VARIABLE_274026) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_274023) BOUND_VARIABLE_274024))) (ll_1460 BOUND_VARIABLE_274021 BOUND_VARIABLE_274022 BOUND_VARIABLE_274023 BOUND_VARIABLE_274024 BOUND_VARIABLE_274025 BOUND_VARIABLE_274026))))) (let ((_let_18511 (forall ((BOUND_VARIABLE_274008 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_274009 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_274010 (-> tptp.int tptp.num)) (BOUND_VARIABLE_274011 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_274008) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_274010) BOUND_VARIABLE_274011) BOUND_VARIABLE_274009)) (ll_1459 BOUND_VARIABLE_274008 BOUND_VARIABLE_274009 BOUND_VARIABLE_274010 BOUND_VARIABLE_274011))))) (let ((_let_18512 (forall ((BOUND_VARIABLE_273995 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273996 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273997 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273998 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_273995) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273997) BOUND_VARIABLE_273998) BOUND_VARIABLE_273996)) (ll_1458 BOUND_VARIABLE_273995 BOUND_VARIABLE_273996 BOUND_VARIABLE_273997 BOUND_VARIABLE_273998))))) (let ((_let_18513 (forall ((BOUND_VARIABLE_273976 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273977 (-> tptp.code_integer tptp.int Bool)) (BOUND_VARIABLE_273978 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273979 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273980 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273981 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcom328798225758222312er_int BOUND_VARIABLE_273976) BOUND_VARIABLE_273977)) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273980) BOUND_VARIABLE_273981) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_273978) BOUND_VARIABLE_273979))) (ll_1457 BOUND_VARIABLE_273976 BOUND_VARIABLE_273977 BOUND_VARIABLE_273978 BOUND_VARIABLE_273979 BOUND_VARIABLE_273980 BOUND_VARIABLE_273981))))) (let ((_let_18514 (forall ((BOUND_VARIABLE_273963 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273964 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273965 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273966 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_273963) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273965) BOUND_VARIABLE_273966) BOUND_VARIABLE_273964)) (ll_1456 BOUND_VARIABLE_273963 BOUND_VARIABLE_273964 BOUND_VARIABLE_273965 BOUND_VARIABLE_273966))))) (let ((_let_18515 (forall ((BOUND_VARIABLE_273944 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273945 (-> tptp.code_integer tptp.code_integer Bool)) (BOUND_VARIABLE_273946 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273947 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273948 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273949 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom8320293257703906841nteger BOUND_VARIABLE_273944) BOUND_VARIABLE_273945)) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273948) BOUND_VARIABLE_273949) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_273946) BOUND_VARIABLE_273947))) (ll_1455 BOUND_VARIABLE_273944 BOUND_VARIABLE_273945 BOUND_VARIABLE_273946 BOUND_VARIABLE_273947 BOUND_VARIABLE_273948 BOUND_VARIABLE_273949))))) (let ((_let_18516 (forall ((BOUND_VARIABLE_273931 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273932 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273933 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273934 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_273931) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273933) BOUND_VARIABLE_273934) BOUND_VARIABLE_273932)) (ll_1454 BOUND_VARIABLE_273931 BOUND_VARIABLE_273932 BOUND_VARIABLE_273933 BOUND_VARIABLE_273934))))) (let ((_let_18517 (forall ((BOUND_VARIABLE_273914 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_273915 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273916 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273917 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_273914 BOUND_VARIABLE_273916) B4)) (not (@ (@ BOUND_VARIABLE_273915 B4) BOUND_VARIABLE_273917))))) (ll_1453 BOUND_VARIABLE_273914 BOUND_VARIABLE_273915 BOUND_VARIABLE_273916 BOUND_VARIABLE_273917))))) (let ((_let_18518 (forall ((BOUND_VARIABLE_273897 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_273898 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273899 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273900 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_273897 BOUND_VARIABLE_273899) B4)) (not (@ (@ BOUND_VARIABLE_273898 B4) BOUND_VARIABLE_273900))))) (ll_1452 BOUND_VARIABLE_273897 BOUND_VARIABLE_273898 BOUND_VARIABLE_273899 BOUND_VARIABLE_273900))))) (let ((_let_18519 (forall ((BOUND_VARIABLE_273880 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273881 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273882 tptp.int) (BOUND_VARIABLE_273883 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_273880 BOUND_VARIABLE_273882) B4)) (not (@ (@ BOUND_VARIABLE_273881 B4) BOUND_VARIABLE_273883))))) (ll_1451 BOUND_VARIABLE_273880 BOUND_VARIABLE_273881 BOUND_VARIABLE_273882 BOUND_VARIABLE_273883))))) (let ((_let_18520 (forall ((BOUND_VARIABLE_273863 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_273864 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273865 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273866 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_273863 BOUND_VARIABLE_273865) B4)) (not (@ (@ BOUND_VARIABLE_273864 B4) BOUND_VARIABLE_273866))))) (ll_1450 BOUND_VARIABLE_273863 BOUND_VARIABLE_273864 BOUND_VARIABLE_273865 BOUND_VARIABLE_273866))))) (let ((_let_18521 (forall ((BOUND_VARIABLE_273846 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_273847 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273848 tptp.product_prod_nat_nat) (BOUND_VARIABLE_273849 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_273846 BOUND_VARIABLE_273848) B4)) (not (@ (@ BOUND_VARIABLE_273847 B4) BOUND_VARIABLE_273849))))) (ll_1449 BOUND_VARIABLE_273846 BOUND_VARIABLE_273847 BOUND_VARIABLE_273848 BOUND_VARIABLE_273849))))) (let ((_let_18522 (forall ((BOUND_VARIABLE_273829 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273830 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273831 tptp.int) (BOUND_VARIABLE_273832 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_273829 BOUND_VARIABLE_273831) B4)) (not (@ (@ BOUND_VARIABLE_273830 B4) BOUND_VARIABLE_273832))))) (ll_1448 BOUND_VARIABLE_273829 BOUND_VARIABLE_273830 BOUND_VARIABLE_273831 BOUND_VARIABLE_273832))))) (let ((_let_18523 (forall ((BOUND_VARIABLE_273782 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_273783 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273784 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_273785 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_273786 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_273787 (-> tptp.int tptp.nat))) (= (ll_1447 BOUND_VARIABLE_273782 BOUND_VARIABLE_273783 BOUND_VARIABLE_273784 BOUND_VARIABLE_273785 BOUND_VARIABLE_273786 BOUND_VARIABLE_273787) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ ll_3422 BOUND_VARIABLE_273782) BOUND_VARIABLE_273783)) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_273786) BOUND_VARIABLE_273787) (@ (@ tptp.relcompp_nat_nat_nat BOUND_VARIABLE_273784) BOUND_VARIABLE_273785))))))) (let ((_let_18524 (forall ((BOUND_VARIABLE_273769 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273770 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_273771 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_273772 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_273769) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_273771) BOUND_VARIABLE_273772) BOUND_VARIABLE_273770)) (ll_1446 BOUND_VARIABLE_273769 BOUND_VARIABLE_273770 BOUND_VARIABLE_273771 BOUND_VARIABLE_273772))))) (let ((_let_18525 (forall ((BOUND_VARIABLE_273750 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273751 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273752 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_273753 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_273754 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_273755 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom2949942408940504938nt_int BOUND_VARIABLE_273750) BOUND_VARIABLE_273751)) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_273754) BOUND_VARIABLE_273755) (@ (@ tptp.relcompp_nat_nat_nat BOUND_VARIABLE_273752) BOUND_VARIABLE_273753))) (ll_1445 BOUND_VARIABLE_273750 BOUND_VARIABLE_273751 BOUND_VARIABLE_273752 BOUND_VARIABLE_273753 BOUND_VARIABLE_273754 BOUND_VARIABLE_273755))))) (let ((_let_18526 (forall ((BOUND_VARIABLE_273737 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_273738 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_273739 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_273740 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_273737) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_273739) BOUND_VARIABLE_273740) BOUND_VARIABLE_273738)) (ll_1444 BOUND_VARIABLE_273737 BOUND_VARIABLE_273738 BOUND_VARIABLE_273739 BOUND_VARIABLE_273740))))) (let ((_let_18527 (forall ((BOUND_VARIABLE_273720 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273721 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273722 tptp.int) (BOUND_VARIABLE_273723 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_273720 BOUND_VARIABLE_273722) B4)) (not (@ (@ BOUND_VARIABLE_273721 B4) BOUND_VARIABLE_273723))))) (ll_1443 BOUND_VARIABLE_273720 BOUND_VARIABLE_273721 BOUND_VARIABLE_273722 BOUND_VARIABLE_273723))))) (let ((_let_18528 (forall ((BOUND_VARIABLE_273703 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273704 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273705 tptp.int) (BOUND_VARIABLE_273706 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_273703 BOUND_VARIABLE_273705) B4)) (not (@ (@ BOUND_VARIABLE_273704 B4) BOUND_VARIABLE_273706))))) (ll_1442 BOUND_VARIABLE_273703 BOUND_VARIABLE_273704 BOUND_VARIABLE_273705 BOUND_VARIABLE_273706))))) (let ((_let_18529 (forall ((BOUND_VARIABLE_273656 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273657 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273658 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273659 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273660 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273661 (-> tptp.code_integer tptp.num))) (= (ll_1441 BOUND_VARIABLE_273656 BOUND_VARIABLE_273657 BOUND_VARIABLE_273658 BOUND_VARIABLE_273659 BOUND_VARIABLE_273660 BOUND_VARIABLE_273661) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ ll_3421 BOUND_VARIABLE_273656) BOUND_VARIABLE_273657)) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273660) BOUND_VARIABLE_273661) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_273658) BOUND_VARIABLE_273659))))))) (let ((_let_18530 (forall ((BOUND_VARIABLE_273643 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273644 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273645 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273646 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_273643) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273645) BOUND_VARIABLE_273646) BOUND_VARIABLE_273644)) (ll_1440 BOUND_VARIABLE_273643 BOUND_VARIABLE_273644 BOUND_VARIABLE_273645 BOUND_VARIABLE_273646))))) (let ((_let_18531 (forall ((BOUND_VARIABLE_273630 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273631 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273632 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273633 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_273630) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273632) BOUND_VARIABLE_273633) BOUND_VARIABLE_273631)) (ll_1439 BOUND_VARIABLE_273630 BOUND_VARIABLE_273631 BOUND_VARIABLE_273632 BOUND_VARIABLE_273633))))) (let ((_let_18532 (forall ((BOUND_VARIABLE_273611 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273612 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273613 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273614 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273615 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273616 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcompp_int_int_int BOUND_VARIABLE_273611) BOUND_VARIABLE_273612)) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273615) BOUND_VARIABLE_273616) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_273613) BOUND_VARIABLE_273614))) (ll_1438 BOUND_VARIABLE_273611 BOUND_VARIABLE_273612 BOUND_VARIABLE_273613 BOUND_VARIABLE_273614 BOUND_VARIABLE_273615 BOUND_VARIABLE_273616))))) (let ((_let_18533 (forall ((BOUND_VARIABLE_273598 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273599 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273600 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273601 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_273598) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273600) BOUND_VARIABLE_273601) BOUND_VARIABLE_273599)) (ll_1437 BOUND_VARIABLE_273598 BOUND_VARIABLE_273599 BOUND_VARIABLE_273600 BOUND_VARIABLE_273601))))) (let ((_let_18534 (forall ((BOUND_VARIABLE_273585 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_273586 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273587 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273588 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_273585) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273587) BOUND_VARIABLE_273588) BOUND_VARIABLE_273586)) (ll_1436 BOUND_VARIABLE_273585 BOUND_VARIABLE_273586 BOUND_VARIABLE_273587 BOUND_VARIABLE_273588))))) (let ((_let_18535 (forall ((BOUND_VARIABLE_273566 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273567 (-> tptp.code_integer tptp.int Bool)) (BOUND_VARIABLE_273568 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273569 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273570 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273571 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcom328798225758222312er_int BOUND_VARIABLE_273566) BOUND_VARIABLE_273567)) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_273570) BOUND_VARIABLE_273571) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_273568) BOUND_VARIABLE_273569))) (ll_1435 BOUND_VARIABLE_273566 BOUND_VARIABLE_273567 BOUND_VARIABLE_273568 BOUND_VARIABLE_273569 BOUND_VARIABLE_273570 BOUND_VARIABLE_273571))))) (let ((_let_18536 (forall ((BOUND_VARIABLE_273553 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273554 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273555 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273556 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_273553) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273555) BOUND_VARIABLE_273556) BOUND_VARIABLE_273554)) (ll_1434 BOUND_VARIABLE_273553 BOUND_VARIABLE_273554 BOUND_VARIABLE_273555 BOUND_VARIABLE_273556))))) (let ((_let_18537 (forall ((BOUND_VARIABLE_273534 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273535 (-> tptp.code_integer tptp.code_integer Bool)) (BOUND_VARIABLE_273536 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273537 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273538 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273539 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom8320293257703906841nteger BOUND_VARIABLE_273534) BOUND_VARIABLE_273535)) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273538) BOUND_VARIABLE_273539) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_273536) BOUND_VARIABLE_273537))) (ll_1433 BOUND_VARIABLE_273534 BOUND_VARIABLE_273535 BOUND_VARIABLE_273536 BOUND_VARIABLE_273537 BOUND_VARIABLE_273538 BOUND_VARIABLE_273539))))) (let ((_let_18538 (forall ((BOUND_VARIABLE_273521 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_273522 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_273523 (-> tptp.int tptp.num)) (BOUND_VARIABLE_273524 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_273521) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_273523) BOUND_VARIABLE_273524) BOUND_VARIABLE_273522)) (ll_1432 BOUND_VARIABLE_273521 BOUND_VARIABLE_273522 BOUND_VARIABLE_273523 BOUND_VARIABLE_273524))))) (let ((_let_18539 (forall ((BOUND_VARIABLE_273497 tptp.set_nat) (BOUND_VARIABLE_273498 tptp.nat)) (= (ll_1431 BOUND_VARIABLE_273497 BOUND_VARIABLE_273498) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_273498)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3420 BOUND_VARIABLE_273497)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18540 (forall ((BOUND_VARIABLE_273472 tptp.set_nat) (BOUND_VARIABLE_273473 tptp.set_Product_unit) (BOUND_VARIABLE_273474 tptp.nat)) (= (ll_1430 BOUND_VARIABLE_273472 BOUND_VARIABLE_273473 BOUND_VARIABLE_273474) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_273474)) (@ (@ tptp.image_8173849991827986510et_nat (@ ll_3419 BOUND_VARIABLE_273472)) BOUND_VARIABLE_273473))))))) (let ((_let_18541 (forall ((BOUND_VARIABLE_273448 tptp.set_int) (BOUND_VARIABLE_273449 tptp.int)) (= (ll_1429 BOUND_VARIABLE_273448 BOUND_VARIABLE_273449) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_273449)) (@ (@ tptp.image_nat_set_int (@ ll_3418 BOUND_VARIABLE_273448)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18542 (forall ((BOUND_VARIABLE_273423 tptp.set_int) (BOUND_VARIABLE_273424 tptp.set_nat) (BOUND_VARIABLE_273425 tptp.int)) (= (ll_1428 BOUND_VARIABLE_273423 BOUND_VARIABLE_273424 BOUND_VARIABLE_273425) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_273425)) (@ (@ tptp.image_nat_set_int (@ ll_3417 BOUND_VARIABLE_273423)) BOUND_VARIABLE_273424))))))) (let ((_let_18543 (forall ((BOUND_VARIABLE_273399 tptp.set_int) (BOUND_VARIABLE_273400 tptp.int)) (= (ll_1427 BOUND_VARIABLE_273399 BOUND_VARIABLE_273400) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_273400)) (@ (@ tptp.image_o_set_int (@ ll_3416 BOUND_VARIABLE_273399)) tptp.bot_bot_set_o))))))) (let ((_let_18544 (forall ((BOUND_VARIABLE_273374 tptp.set_int) (BOUND_VARIABLE_273375 tptp.set_o) (BOUND_VARIABLE_273376 tptp.int)) (= (ll_1426 BOUND_VARIABLE_273374 BOUND_VARIABLE_273375 BOUND_VARIABLE_273376) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_273376)) (@ (@ tptp.image_o_set_int (@ ll_3415 BOUND_VARIABLE_273374)) BOUND_VARIABLE_273375))))))) (let ((_let_18545 (forall ((BOUND_VARIABLE_273350 tptp.set_int) (BOUND_VARIABLE_273351 tptp.int)) (= (ll_1425 BOUND_VARIABLE_273350 BOUND_VARIABLE_273351) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_273351)) (@ (@ tptp.image_3995998972318789802et_int (@ ll_3414 BOUND_VARIABLE_273350)) tptp.bot_bo3957492148770167129t_unit))))))) (let ((_let_18546 (forall ((BOUND_VARIABLE_273324 tptp.set_int) (BOUND_VARIABLE_273325 tptp.set_Product_unit) (BOUND_VARIABLE_273326 tptp.int)) (= (ll_1424 BOUND_VARIABLE_273324 BOUND_VARIABLE_273325 BOUND_VARIABLE_273326) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_int_o (@ tptp.member_int BOUND_VARIABLE_273326)) (@ (@ tptp.image_3995998972318789802et_int (@ ll_3413 BOUND_VARIABLE_273324)) BOUND_VARIABLE_273325))))))) (let ((_let_18547 (forall ((BOUND_VARIABLE_273318 tptp.set_rat) (BOUND_VARIABLE_273319 tptp.nat)) (= BOUND_VARIABLE_273318 (ll_1423 BOUND_VARIABLE_273318 BOUND_VARIABLE_273319))))) (let ((_let_18548 (forall ((BOUND_VARIABLE_273312 tptp.set_rat) (BOUND_VARIABLE_273313 tptp.nat)) (= BOUND_VARIABLE_273312 (ll_1422 BOUND_VARIABLE_273312 BOUND_VARIABLE_273313))))) (let ((_let_18549 (forall ((BOUND_VARIABLE_273306 tptp.set_rat) (BOUND_VARIABLE_273307 Bool)) (= BOUND_VARIABLE_273306 (ll_1421 BOUND_VARIABLE_273306 BOUND_VARIABLE_273307))))) (let ((_let_18550 (forall ((BOUND_VARIABLE_273300 tptp.set_rat) (BOUND_VARIABLE_273301 Bool)) (= BOUND_VARIABLE_273300 (ll_1420 BOUND_VARIABLE_273300 BOUND_VARIABLE_273301))))) (let ((_let_18551 (forall ((BOUND_VARIABLE_273294 tptp.set_rat) (BOUND_VARIABLE_273295 tptp.product_unit)) (= BOUND_VARIABLE_273294 (ll_1419 BOUND_VARIABLE_273294 BOUND_VARIABLE_273295))))) (let ((_let_18552 (forall ((BOUND_VARIABLE_273288 tptp.set_rat) (BOUND_VARIABLE_273289 tptp.product_unit)) (= BOUND_VARIABLE_273288 (ll_1418 BOUND_VARIABLE_273288 BOUND_VARIABLE_273289))))) (let ((_let_18553 (forall ((BOUND_VARIABLE_273282 tptp.set_char) (BOUND_VARIABLE_273283 tptp.nat)) (= BOUND_VARIABLE_273282 (ll_1417 BOUND_VARIABLE_273282 BOUND_VARIABLE_273283))))) (let ((_let_18554 (forall ((BOUND_VARIABLE_273276 tptp.set_char) (BOUND_VARIABLE_273277 tptp.nat)) (= BOUND_VARIABLE_273276 (ll_1416 BOUND_VARIABLE_273276 BOUND_VARIABLE_273277))))) (let ((_let_18555 (forall ((BOUND_VARIABLE_273270 tptp.set_char) (BOUND_VARIABLE_273271 Bool)) (= BOUND_VARIABLE_273270 (ll_1415 BOUND_VARIABLE_273270 BOUND_VARIABLE_273271))))) (let ((_let_18556 (forall ((BOUND_VARIABLE_273264 tptp.set_char) (BOUND_VARIABLE_273265 Bool)) (= BOUND_VARIABLE_273264 (ll_1414 BOUND_VARIABLE_273264 BOUND_VARIABLE_273265))))) (let ((_let_18557 (forall ((BOUND_VARIABLE_273258 tptp.set_char) (BOUND_VARIABLE_273259 tptp.product_unit)) (= BOUND_VARIABLE_273258 (ll_1413 BOUND_VARIABLE_273258 BOUND_VARIABLE_273259))))) (let ((_let_18558 (forall ((BOUND_VARIABLE_273252 tptp.set_char) (BOUND_VARIABLE_273253 tptp.product_unit)) (= BOUND_VARIABLE_273252 (ll_1412 BOUND_VARIABLE_273252 BOUND_VARIABLE_273253))))) (let ((_let_18559 (forall ((BOUND_VARIABLE_273246 Bool) (BOUND_VARIABLE_273247 tptp.nat)) (= BOUND_VARIABLE_273246 (ll_1411 BOUND_VARIABLE_273246 BOUND_VARIABLE_273247))))) (let ((_let_18560 (forall ((BOUND_VARIABLE_273240 tptp.product_unit) (BOUND_VARIABLE_273241 tptp.nat)) (= BOUND_VARIABLE_273240 (ll_1410 BOUND_VARIABLE_273240 BOUND_VARIABLE_273241))))) (let ((_let_18561 (forall ((BOUND_VARIABLE_273234 tptp.int) (BOUND_VARIABLE_273235 tptp.nat)) (= BOUND_VARIABLE_273234 (ll_1409 BOUND_VARIABLE_273234 BOUND_VARIABLE_273235))))) (let ((_let_18562 (forall ((BOUND_VARIABLE_273228 tptp.rat) (BOUND_VARIABLE_273229 tptp.nat)) (= BOUND_VARIABLE_273228 (ll_1408 BOUND_VARIABLE_273228 BOUND_VARIABLE_273229))))) (let ((_let_18563 (forall ((BOUND_VARIABLE_273222 tptp.nat) (BOUND_VARIABLE_273223 tptp.rat)) (= BOUND_VARIABLE_273222 (ll_1407 BOUND_VARIABLE_273222 BOUND_VARIABLE_273223))))) (let ((_let_18564 (forall ((BOUND_VARIABLE_273216 Bool) (BOUND_VARIABLE_273217 tptp.rat)) (= BOUND_VARIABLE_273216 (ll_1406 BOUND_VARIABLE_273216 BOUND_VARIABLE_273217))))) (let ((_let_18565 (forall ((BOUND_VARIABLE_273210 tptp.product_unit) (BOUND_VARIABLE_273211 tptp.rat)) (= BOUND_VARIABLE_273210 (ll_1405 BOUND_VARIABLE_273210 BOUND_VARIABLE_273211))))) (let ((_let_18566 (forall ((BOUND_VARIABLE_273204 tptp.nat) (BOUND_VARIABLE_273205 tptp.char)) (= BOUND_VARIABLE_273204 (ll_1404 BOUND_VARIABLE_273204 BOUND_VARIABLE_273205))))) (let ((_let_18567 (forall ((BOUND_VARIABLE_273198 Bool) (BOUND_VARIABLE_273199 tptp.char)) (= BOUND_VARIABLE_273198 (ll_1403 BOUND_VARIABLE_273198 BOUND_VARIABLE_273199))))) (let ((_let_18568 (forall ((BOUND_VARIABLE_273192 tptp.product_unit) (BOUND_VARIABLE_273193 tptp.char)) (= BOUND_VARIABLE_273192 (ll_1402 BOUND_VARIABLE_273192 BOUND_VARIABLE_273193))))) (let ((_let_18569 (forall ((BOUND_VARIABLE_273155 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_273156 tptp.set_nat) (BOUND_VARIABLE_273157 tptp.product_prod_nat_nat)) (= (ll_1401 BOUND_VARIABLE_273155 BOUND_VARIABLE_273156 BOUND_VARIABLE_273157) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_273157)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3412 BOUND_VARIABLE_273155)) BOUND_VARIABLE_273156))))))) (let ((_let_18570 (forall ((BOUND_VARIABLE_273142 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_273143 tptp.set_nat) (BOUND_VARIABLE_273144 tptp.nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_273144)) (@ (@ tptp.image_nat_set_nat BOUND_VARIABLE_273142) BOUND_VARIABLE_273143))) (ll_1400 BOUND_VARIABLE_273142 BOUND_VARIABLE_273143 BOUND_VARIABLE_273144))))) (let ((_let_18571 (forall ((BOUND_VARIABLE_273129 tptp.set_ref_a) (BOUND_VARIABLE_273130 (-> tptp.ref_a tptp.set_he8644174446132254637t_unit)) (BOUND_VARIABLE_273131 tptp.ref_a)) (= (and (@ (@ tptp.member_ref_a BOUND_VARIABLE_273131) BOUND_VARIABLE_273129) (not (= tptp.bot_bo3686245532977126937t_unit (@ BOUND_VARIABLE_273130 BOUND_VARIABLE_273131)))) (ll_1399 BOUND_VARIABLE_273129 BOUND_VARIABLE_273130 BOUND_VARIABLE_273131))))) (let ((_let_18572 (forall ((BOUND_VARIABLE_273092 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_273093 tptp.set_nat) (BOUND_VARIABLE_273094 tptp.product_prod_nat_nat)) (= (ll_1398 BOUND_VARIABLE_273092 BOUND_VARIABLE_273093 BOUND_VARIABLE_273094) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_273094)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3411 BOUND_VARIABLE_273092)) BOUND_VARIABLE_273093))))))) (let ((_let_18573 (forall ((BOUND_VARIABLE_273074 tptp.set_nat) (BOUND_VARIABLE_273075 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_273076 tptp.nat)) (= (ll_1397 BOUND_VARIABLE_273074 BOUND_VARIABLE_273075 BOUND_VARIABLE_273076) (and (@ (@ tptp.member_nat BOUND_VARIABLE_273076) BOUND_VARIABLE_273074) (not (= (@ tptp.collect_nat ll_1295) (@ BOUND_VARIABLE_273075 BOUND_VARIABLE_273076)))))))) (let ((_let_18574 (forall ((BOUND_VARIABLE_273056 tptp.set_int) (BOUND_VARIABLE_273057 (-> tptp.int tptp.set_nat)) (BOUND_VARIABLE_273058 tptp.int)) (= (ll_1396 BOUND_VARIABLE_273056 BOUND_VARIABLE_273057 BOUND_VARIABLE_273058) (and (@ (@ tptp.member_int BOUND_VARIABLE_273058) BOUND_VARIABLE_273056) (not (= (@ tptp.collect_nat ll_1295) (@ BOUND_VARIABLE_273057 BOUND_VARIABLE_273058)))))))) (let ((_let_18575 (forall ((BOUND_VARIABLE_273038 tptp.set_o) (BOUND_VARIABLE_273039 (-> Bool tptp.set_nat)) (BOUND_VARIABLE_273040 Bool)) (= (ll_1395 BOUND_VARIABLE_273038 BOUND_VARIABLE_273039 BOUND_VARIABLE_273040) (and (@ (@ tptp.member_o BOUND_VARIABLE_273040) BOUND_VARIABLE_273038) (not (= (@ tptp.collect_nat ll_1295) (@ BOUND_VARIABLE_273039 BOUND_VARIABLE_273040)))))))) (let ((_let_18576 (forall ((BOUND_VARIABLE_273025 tptp.set_nat) (BOUND_VARIABLE_273026 (-> tptp.nat tptp.set_o)) (BOUND_VARIABLE_273027 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_273027) BOUND_VARIABLE_273025) (not (= tptp.bot_bot_set_o (@ BOUND_VARIABLE_273026 BOUND_VARIABLE_273027)))) (ll_1394 BOUND_VARIABLE_273025 BOUND_VARIABLE_273026 BOUND_VARIABLE_273027))))) (let ((_let_18577 (forall ((BOUND_VARIABLE_273012 tptp.set_int) (BOUND_VARIABLE_273013 (-> tptp.int tptp.set_o)) (BOUND_VARIABLE_273014 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_273014) BOUND_VARIABLE_273012) (not (= tptp.bot_bot_set_o (@ BOUND_VARIABLE_273013 BOUND_VARIABLE_273014)))) (ll_1393 BOUND_VARIABLE_273012 BOUND_VARIABLE_273013 BOUND_VARIABLE_273014))))) (let ((_let_18578 (forall ((BOUND_VARIABLE_272999 tptp.set_o) (BOUND_VARIABLE_273000 (-> Bool tptp.set_o)) (BOUND_VARIABLE_273001 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_273001) BOUND_VARIABLE_272999) (not (= tptp.bot_bot_set_o (@ BOUND_VARIABLE_273000 BOUND_VARIABLE_273001)))) (ll_1392 BOUND_VARIABLE_272999 BOUND_VARIABLE_273000 BOUND_VARIABLE_273001))))) (let ((_let_18579 (forall ((BOUND_VARIABLE_272986 tptp.set_nat) (BOUND_VARIABLE_272987 (-> tptp.nat tptp.set_Product_unit)) (BOUND_VARIABLE_272988 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_272988) BOUND_VARIABLE_272986) (not (= tptp.bot_bo3957492148770167129t_unit (@ BOUND_VARIABLE_272987 BOUND_VARIABLE_272988)))) (ll_1391 BOUND_VARIABLE_272986 BOUND_VARIABLE_272987 BOUND_VARIABLE_272988))))) (let ((_let_18580 (forall ((BOUND_VARIABLE_272973 tptp.set_int) (BOUND_VARIABLE_272974 (-> tptp.int tptp.set_Product_unit)) (BOUND_VARIABLE_272975 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_272975) BOUND_VARIABLE_272973) (not (= tptp.bot_bo3957492148770167129t_unit (@ BOUND_VARIABLE_272974 BOUND_VARIABLE_272975)))) (ll_1390 BOUND_VARIABLE_272973 BOUND_VARIABLE_272974 BOUND_VARIABLE_272975))))) (let ((_let_18581 (forall ((BOUND_VARIABLE_272960 tptp.set_o) (BOUND_VARIABLE_272961 (-> Bool tptp.set_Product_unit)) (BOUND_VARIABLE_272962 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_272962) BOUND_VARIABLE_272960) (not (= tptp.bot_bo3957492148770167129t_unit (@ BOUND_VARIABLE_272961 BOUND_VARIABLE_272962)))) (ll_1389 BOUND_VARIABLE_272960 BOUND_VARIABLE_272961 BOUND_VARIABLE_272962))))) (let ((_let_18582 (forall ((BOUND_VARIABLE_272954 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272955 tptp.product_unit)) (= BOUND_VARIABLE_272954 (ll_1388 BOUND_VARIABLE_272954 BOUND_VARIABLE_272955))))) (let ((_let_18583 (forall ((BOUND_VARIABLE_272948 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272949 tptp.product_unit)) (= BOUND_VARIABLE_272948 (ll_1387 BOUND_VARIABLE_272948 BOUND_VARIABLE_272949))))) (let ((_let_18584 (forall ((BOUND_VARIABLE_272913 tptp.set_nat) (BOUND_VARIABLE_272914 tptp.set_nat) (BOUND_VARIABLE_272915 tptp.product_prod_nat_nat)) (= (ll_1386 BOUND_VARIABLE_272913 BOUND_VARIABLE_272914 BOUND_VARIABLE_272915) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272915)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3410 BOUND_VARIABLE_272913)) BOUND_VARIABLE_272914))))))) (let ((_let_18585 (forall ((BOUND_VARIABLE_272878 tptp.set_nat) (BOUND_VARIABLE_272879 tptp.set_nat) (BOUND_VARIABLE_272880 tptp.product_prod_nat_nat)) (= (ll_1385 BOUND_VARIABLE_272878 BOUND_VARIABLE_272879 BOUND_VARIABLE_272880) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272880)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3409 BOUND_VARIABLE_272878)) BOUND_VARIABLE_272879))))))) (let ((_let_18586 (forall ((BOUND_VARIABLE_272872 tptp.set_o) (BOUND_VARIABLE_272873 tptp.nat)) (= BOUND_VARIABLE_272872 (ll_1384 BOUND_VARIABLE_272872 BOUND_VARIABLE_272873))))) (let ((_let_18587 (forall ((BOUND_VARIABLE_272866 tptp.set_o) (BOUND_VARIABLE_272867 tptp.nat)) (= BOUND_VARIABLE_272866 (ll_1383 BOUND_VARIABLE_272866 BOUND_VARIABLE_272867))))) (let ((_let_18588 (forall ((BOUND_VARIABLE_272860 tptp.set_Product_unit) (BOUND_VARIABLE_272861 tptp.nat)) (= BOUND_VARIABLE_272860 (ll_1382 BOUND_VARIABLE_272860 BOUND_VARIABLE_272861))))) (let ((_let_18589 (forall ((BOUND_VARIABLE_272854 tptp.set_Product_unit) (BOUND_VARIABLE_272855 tptp.nat)) (= BOUND_VARIABLE_272854 (ll_1381 BOUND_VARIABLE_272854 BOUND_VARIABLE_272855))))) (let ((_let_18590 (forall ((BOUND_VARIABLE_272848 tptp.set_nat) (BOUND_VARIABLE_272849 Bool)) (= BOUND_VARIABLE_272848 (ll_1380 BOUND_VARIABLE_272848 BOUND_VARIABLE_272849))))) (let ((_let_18591 (forall ((BOUND_VARIABLE_272842 tptp.set_nat) (BOUND_VARIABLE_272843 Bool)) (= BOUND_VARIABLE_272842 (ll_1379 BOUND_VARIABLE_272842 BOUND_VARIABLE_272843))))) (let ((_let_18592 (forall ((BOUND_VARIABLE_272836 tptp.set_o) (BOUND_VARIABLE_272837 Bool)) (= BOUND_VARIABLE_272836 (ll_1378 BOUND_VARIABLE_272836 BOUND_VARIABLE_272837))))) (let ((_let_18593 (forall ((BOUND_VARIABLE_272830 tptp.set_o) (BOUND_VARIABLE_272831 Bool)) (= BOUND_VARIABLE_272830 (ll_1377 BOUND_VARIABLE_272830 BOUND_VARIABLE_272831))))) (let ((_let_18594 (forall ((BOUND_VARIABLE_272824 tptp.set_Product_unit) (BOUND_VARIABLE_272825 Bool)) (= BOUND_VARIABLE_272824 (ll_1376 BOUND_VARIABLE_272824 BOUND_VARIABLE_272825))))) (let ((_let_18595 (forall ((BOUND_VARIABLE_272818 tptp.set_Product_unit) (BOUND_VARIABLE_272819 Bool)) (= BOUND_VARIABLE_272818 (ll_1375 BOUND_VARIABLE_272818 BOUND_VARIABLE_272819))))) (let ((_let_18596 (forall ((BOUND_VARIABLE_272812 tptp.set_nat) (BOUND_VARIABLE_272813 tptp.product_unit)) (= BOUND_VARIABLE_272812 (ll_1374 BOUND_VARIABLE_272812 BOUND_VARIABLE_272813))))) (let ((_let_18597 (forall ((BOUND_VARIABLE_272806 tptp.set_nat) (BOUND_VARIABLE_272807 tptp.product_unit)) (= BOUND_VARIABLE_272806 (ll_1373 BOUND_VARIABLE_272806 BOUND_VARIABLE_272807))))) (let ((_let_18598 (forall ((BOUND_VARIABLE_272800 tptp.set_o) (BOUND_VARIABLE_272801 tptp.product_unit)) (= BOUND_VARIABLE_272800 (ll_1372 BOUND_VARIABLE_272800 BOUND_VARIABLE_272801))))) (let ((_let_18599 (forall ((BOUND_VARIABLE_272794 tptp.set_o) (BOUND_VARIABLE_272795 tptp.product_unit)) (= BOUND_VARIABLE_272794 (ll_1371 BOUND_VARIABLE_272794 BOUND_VARIABLE_272795))))) (let ((_let_18600 (forall ((BOUND_VARIABLE_272788 tptp.set_Product_unit) (BOUND_VARIABLE_272789 tptp.product_unit)) (= BOUND_VARIABLE_272788 (ll_1370 BOUND_VARIABLE_272788 BOUND_VARIABLE_272789))))) (let ((_let_18601 (forall ((BOUND_VARIABLE_272782 tptp.set_Product_unit) (BOUND_VARIABLE_272783 tptp.product_unit)) (= BOUND_VARIABLE_272782 (ll_1369 BOUND_VARIABLE_272782 BOUND_VARIABLE_272783))))) (let ((_let_18602 (forall ((BOUND_VARIABLE_272776 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272777 tptp.product_unit)) (= BOUND_VARIABLE_272776 (ll_1368 BOUND_VARIABLE_272776 BOUND_VARIABLE_272777))))) (let ((_let_18603 (forall ((BOUND_VARIABLE_272770 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272771 tptp.product_unit)) (= BOUND_VARIABLE_272770 (ll_1367 BOUND_VARIABLE_272770 BOUND_VARIABLE_272771))))) (let ((_let_18604 (forall ((BOUND_VARIABLE_272735 tptp.set_nat) (BOUND_VARIABLE_272736 tptp.set_nat) (BOUND_VARIABLE_272737 tptp.product_prod_nat_nat)) (= (ll_1366 BOUND_VARIABLE_272735 BOUND_VARIABLE_272736 BOUND_VARIABLE_272737) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272737)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3408 BOUND_VARIABLE_272735)) BOUND_VARIABLE_272736))))))) (let ((_let_18605 (forall ((BOUND_VARIABLE_272700 tptp.set_nat) (BOUND_VARIABLE_272701 tptp.set_nat) (BOUND_VARIABLE_272702 tptp.product_prod_nat_nat)) (= (ll_1365 BOUND_VARIABLE_272700 BOUND_VARIABLE_272701 BOUND_VARIABLE_272702) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272702)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3407 BOUND_VARIABLE_272700)) BOUND_VARIABLE_272701))))))) (let ((_let_18606 (forall ((BOUND_VARIABLE_272694 tptp.set_o) (BOUND_VARIABLE_272695 tptp.nat)) (= BOUND_VARIABLE_272694 (ll_1364 BOUND_VARIABLE_272694 BOUND_VARIABLE_272695))))) (let ((_let_18607 (forall ((BOUND_VARIABLE_272688 tptp.set_o) (BOUND_VARIABLE_272689 tptp.nat)) (= BOUND_VARIABLE_272688 (ll_1363 BOUND_VARIABLE_272688 BOUND_VARIABLE_272689))))) (let ((_let_18608 (forall ((BOUND_VARIABLE_272682 tptp.set_Product_unit) (BOUND_VARIABLE_272683 tptp.nat)) (= BOUND_VARIABLE_272682 (ll_1362 BOUND_VARIABLE_272682 BOUND_VARIABLE_272683))))) (let ((_let_18609 (forall ((BOUND_VARIABLE_272676 tptp.set_Product_unit) (BOUND_VARIABLE_272677 tptp.nat)) (= BOUND_VARIABLE_272676 (ll_1361 BOUND_VARIABLE_272676 BOUND_VARIABLE_272677))))) (let ((_let_18610 (forall ((BOUND_VARIABLE_272670 tptp.set_nat) (BOUND_VARIABLE_272671 Bool)) (= BOUND_VARIABLE_272670 (ll_1360 BOUND_VARIABLE_272670 BOUND_VARIABLE_272671))))) (let ((_let_18611 (forall ((BOUND_VARIABLE_272664 tptp.set_nat) (BOUND_VARIABLE_272665 Bool)) (= BOUND_VARIABLE_272664 (ll_1359 BOUND_VARIABLE_272664 BOUND_VARIABLE_272665))))) (let ((_let_18612 (forall ((BOUND_VARIABLE_272658 tptp.set_o) (BOUND_VARIABLE_272659 Bool)) (= BOUND_VARIABLE_272658 (ll_1358 BOUND_VARIABLE_272658 BOUND_VARIABLE_272659))))) (let ((_let_18613 (forall ((BOUND_VARIABLE_272652 tptp.set_o) (BOUND_VARIABLE_272653 Bool)) (= BOUND_VARIABLE_272652 (ll_1357 BOUND_VARIABLE_272652 BOUND_VARIABLE_272653))))) (let ((_let_18614 (forall ((BOUND_VARIABLE_272646 tptp.set_Product_unit) (BOUND_VARIABLE_272647 Bool)) (= BOUND_VARIABLE_272646 (ll_1356 BOUND_VARIABLE_272646 BOUND_VARIABLE_272647))))) (let ((_let_18615 (forall ((BOUND_VARIABLE_272640 tptp.set_Product_unit) (BOUND_VARIABLE_272641 Bool)) (= BOUND_VARIABLE_272640 (ll_1355 BOUND_VARIABLE_272640 BOUND_VARIABLE_272641))))) (let ((_let_18616 (forall ((BOUND_VARIABLE_272634 tptp.set_nat) (BOUND_VARIABLE_272635 tptp.product_unit)) (= BOUND_VARIABLE_272634 (ll_1354 BOUND_VARIABLE_272634 BOUND_VARIABLE_272635))))) (let ((_let_18617 (forall ((BOUND_VARIABLE_272628 tptp.set_nat) (BOUND_VARIABLE_272629 tptp.product_unit)) (= BOUND_VARIABLE_272628 (ll_1353 BOUND_VARIABLE_272628 BOUND_VARIABLE_272629))))) (let ((_let_18618 (forall ((BOUND_VARIABLE_272622 tptp.set_o) (BOUND_VARIABLE_272623 tptp.product_unit)) (= BOUND_VARIABLE_272622 (ll_1352 BOUND_VARIABLE_272622 BOUND_VARIABLE_272623))))) (let ((_let_18619 (forall ((BOUND_VARIABLE_272616 tptp.set_o) (BOUND_VARIABLE_272617 tptp.product_unit)) (= BOUND_VARIABLE_272616 (ll_1351 BOUND_VARIABLE_272616 BOUND_VARIABLE_272617))))) (let ((_let_18620 (forall ((BOUND_VARIABLE_272610 tptp.set_Product_unit) (BOUND_VARIABLE_272611 tptp.product_unit)) (= BOUND_VARIABLE_272610 (ll_1350 BOUND_VARIABLE_272610 BOUND_VARIABLE_272611))))) (let ((_let_18621 (forall ((BOUND_VARIABLE_272604 tptp.set_Product_unit) (BOUND_VARIABLE_272605 tptp.product_unit)) (= BOUND_VARIABLE_272604 (ll_1349 BOUND_VARIABLE_272604 BOUND_VARIABLE_272605))))) (let ((_let_18622 (forall ((BOUND_VARIABLE_272567 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_272568 tptp.set_nat) (BOUND_VARIABLE_272569 tptp.product_prod_nat_nat)) (= (ll_1348 BOUND_VARIABLE_272567 BOUND_VARIABLE_272568 BOUND_VARIABLE_272569) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272569)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3406 BOUND_VARIABLE_272567)) BOUND_VARIABLE_272568))))))) (let ((_let_18623 (forall ((BOUND_VARIABLE_272530 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_272531 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_272532 tptp.produc3843707927480180839at_nat)) (= (ll_1347 BOUND_VARIABLE_272530 BOUND_VARIABLE_272531 BOUND_VARIABLE_272532) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_272532)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3405 BOUND_VARIABLE_272530)) BOUND_VARIABLE_272531))))))) (let ((_let_18624 (forall ((BOUND_VARIABLE_272524 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272525 tptp.product_unit)) (= BOUND_VARIABLE_272524 (ll_1346 BOUND_VARIABLE_272524 BOUND_VARIABLE_272525))))) (let ((_let_18625 (forall ((BOUND_VARIABLE_272489 tptp.set_nat) (BOUND_VARIABLE_272490 tptp.set_nat) (BOUND_VARIABLE_272491 tptp.product_prod_nat_nat)) (= (ll_1345 BOUND_VARIABLE_272489 BOUND_VARIABLE_272490 BOUND_VARIABLE_272491) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272491)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3404 BOUND_VARIABLE_272489)) BOUND_VARIABLE_272490))))))) (let ((_let_18626 (forall ((BOUND_VARIABLE_272483 tptp.set_o) (BOUND_VARIABLE_272484 tptp.nat)) (= BOUND_VARIABLE_272483 (ll_1344 BOUND_VARIABLE_272483 BOUND_VARIABLE_272484))))) (let ((_let_18627 (forall ((BOUND_VARIABLE_272477 tptp.set_Product_unit) (BOUND_VARIABLE_272478 tptp.nat)) (= BOUND_VARIABLE_272477 (ll_1343 BOUND_VARIABLE_272477 BOUND_VARIABLE_272478))))) (let ((_let_18628 (forall ((BOUND_VARIABLE_272471 tptp.set_nat) (BOUND_VARIABLE_272472 Bool)) (= BOUND_VARIABLE_272471 (ll_1342 BOUND_VARIABLE_272471 BOUND_VARIABLE_272472))))) (let ((_let_18629 (forall ((BOUND_VARIABLE_272465 tptp.set_o) (BOUND_VARIABLE_272466 Bool)) (= BOUND_VARIABLE_272465 (ll_1341 BOUND_VARIABLE_272465 BOUND_VARIABLE_272466))))) (let ((_let_18630 (forall ((BOUND_VARIABLE_272459 tptp.set_Product_unit) (BOUND_VARIABLE_272460 Bool)) (= BOUND_VARIABLE_272459 (ll_1340 BOUND_VARIABLE_272459 BOUND_VARIABLE_272460))))) (let ((_let_18631 (forall ((BOUND_VARIABLE_272453 tptp.set_nat) (BOUND_VARIABLE_272454 tptp.product_unit)) (= BOUND_VARIABLE_272453 (ll_1339 BOUND_VARIABLE_272453 BOUND_VARIABLE_272454))))) (let ((_let_18632 (forall ((BOUND_VARIABLE_272447 tptp.set_o) (BOUND_VARIABLE_272448 tptp.product_unit)) (= BOUND_VARIABLE_272447 (ll_1338 BOUND_VARIABLE_272447 BOUND_VARIABLE_272448))))) (let ((_let_18633 (forall ((BOUND_VARIABLE_272441 tptp.set_Product_unit) (BOUND_VARIABLE_272442 tptp.product_unit)) (= BOUND_VARIABLE_272441 (ll_1337 BOUND_VARIABLE_272441 BOUND_VARIABLE_272442))))) (let ((_let_18634 (forall ((BOUND_VARIABLE_272425 tptp.set_nat) (BOUND_VARIABLE_272426 tptp.product_prod_nat_nat)) (= (ll_1336 BOUND_VARIABLE_272425 BOUND_VARIABLE_272426) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272426)) (@ (@ tptp.image_7178329752028323786at_nat ll_3400) BOUND_VARIABLE_272425))))))) (let ((_let_18635 (forall ((BOUND_VARIABLE_272407 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_272408 tptp.produc3843707927480180839at_nat)) (= (ll_1335 BOUND_VARIABLE_272407 BOUND_VARIABLE_272408) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_272408)) (@ (@ tptp.image_6898982319499645995at_nat ll_3403) BOUND_VARIABLE_272407))))))) (let ((_let_18636 (forall ((BOUND_VARIABLE_272401 tptp.nat) (BOUND_VARIABLE_272402 tptp.nat)) (not (ll_1334 BOUND_VARIABLE_272401 BOUND_VARIABLE_272402))))) (let ((_let_18637 (forall ((BOUND_VARIABLE_272365 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_272366 tptp.product_prod_nat_nat)) (= (ll_1333 BOUND_VARIABLE_272365 BOUND_VARIABLE_272366) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272366)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3402 BOUND_VARIABLE_272365)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18638 (forall ((BOUND_VARIABLE_272359 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_272360 tptp.set_Pr1261947904930325089at_nat)) (not (ll_1332 BOUND_VARIABLE_272359 BOUND_VARIABLE_272360))))) (let ((_let_18639 (forall ((BOUND_VARIABLE_272323 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_272324 tptp.produc3843707927480180839at_nat)) (= (ll_1331 BOUND_VARIABLE_272323 BOUND_VARIABLE_272324) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_272324)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3401 BOUND_VARIABLE_272323)) tptp.bot_bo3083307316010499117at_nat))))))) (let ((_let_18640 (forall ((BOUND_VARIABLE_272318 tptp.ref_a)) (= tptp.bot_bo3686245532977126937t_unit (ll_1330 BOUND_VARIABLE_272318))))) (let ((_let_18641 (forall ((BOUND_VARIABLE_272312 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_272313 tptp.ref_a)) (= BOUND_VARIABLE_272312 (ll_1329 BOUND_VARIABLE_272312 BOUND_VARIABLE_272313))))) (let ((_let_18642 (forall ((BOUND_VARIABLE_272294 tptp.set_nat) (BOUND_VARIABLE_272295 tptp.product_prod_nat_nat)) (= (ll_1328 BOUND_VARIABLE_272294 BOUND_VARIABLE_272295) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272295)) (@ (@ tptp.image_7178329752028323786at_nat ll_3400) BOUND_VARIABLE_272294))))))) (let ((_let_18643 (forall ((BOUND_VARIABLE_272259 tptp.set_nat) (BOUND_VARIABLE_272260 tptp.set_nat) (BOUND_VARIABLE_272261 tptp.product_prod_nat_nat)) (= (ll_1327 BOUND_VARIABLE_272259 BOUND_VARIABLE_272260 BOUND_VARIABLE_272261) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272261)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3399 BOUND_VARIABLE_272259)) BOUND_VARIABLE_272260))))))) (let ((_let_18644 (forall ((BOUND_VARIABLE_272252 Bool)) (= (@ tptp.collect_nat ll_1295) (ll_1326 BOUND_VARIABLE_272252))))) (let ((_let_18645 (forall ((BOUND_VARIABLE_272246 tptp.set_nat) (BOUND_VARIABLE_272247 Bool)) (= BOUND_VARIABLE_272246 (ll_1325 BOUND_VARIABLE_272246 BOUND_VARIABLE_272247))))) (let ((_let_18646 (forall ((BOUND_VARIABLE_272239 tptp.product_unit)) (= (@ tptp.collect_nat ll_1295) (ll_1324 BOUND_VARIABLE_272239))))) (let ((_let_18647 (forall ((BOUND_VARIABLE_272233 tptp.set_nat) (BOUND_VARIABLE_272234 tptp.product_unit)) (= BOUND_VARIABLE_272233 (ll_1323 BOUND_VARIABLE_272233 BOUND_VARIABLE_272234))))) (let ((_let_18648 (forall ((BOUND_VARIABLE_272228 tptp.nat)) (= tptp.bot_bot_set_o (ll_1322 BOUND_VARIABLE_272228))))) (let ((_let_18649 (forall ((BOUND_VARIABLE_272222 tptp.set_o) (BOUND_VARIABLE_272223 tptp.nat)) (= BOUND_VARIABLE_272222 (ll_1321 BOUND_VARIABLE_272222 BOUND_VARIABLE_272223))))) (let ((_let_18650 (forall ((BOUND_VARIABLE_272217 Bool)) (= tptp.bot_bot_set_o (ll_1320 BOUND_VARIABLE_272217))))) (let ((_let_18651 (forall ((BOUND_VARIABLE_272211 tptp.set_o) (BOUND_VARIABLE_272212 Bool)) (= BOUND_VARIABLE_272211 (ll_1319 BOUND_VARIABLE_272211 BOUND_VARIABLE_272212))))) (let ((_let_18652 (forall ((BOUND_VARIABLE_272206 tptp.product_unit)) (= tptp.bot_bot_set_o (ll_1318 BOUND_VARIABLE_272206))))) (let ((_let_18653 (forall ((BOUND_VARIABLE_272200 tptp.set_o) (BOUND_VARIABLE_272201 tptp.product_unit)) (= BOUND_VARIABLE_272200 (ll_1317 BOUND_VARIABLE_272200 BOUND_VARIABLE_272201))))) (let ((_let_18654 (forall ((BOUND_VARIABLE_272195 tptp.nat)) (= tptp.bot_bo3957492148770167129t_unit (ll_1316 BOUND_VARIABLE_272195))))) (let ((_let_18655 (forall ((BOUND_VARIABLE_272189 tptp.set_Product_unit) (BOUND_VARIABLE_272190 tptp.nat)) (= BOUND_VARIABLE_272189 (ll_1315 BOUND_VARIABLE_272189 BOUND_VARIABLE_272190))))) (let ((_let_18656 (forall ((BOUND_VARIABLE_272184 Bool)) (= tptp.bot_bo3957492148770167129t_unit (ll_1314 BOUND_VARIABLE_272184))))) (let ((_let_18657 (forall ((BOUND_VARIABLE_272178 tptp.set_Product_unit) (BOUND_VARIABLE_272179 Bool)) (= BOUND_VARIABLE_272178 (ll_1313 BOUND_VARIABLE_272178 BOUND_VARIABLE_272179))))) (let ((_let_18658 (forall ((BOUND_VARIABLE_272173 tptp.product_unit)) (= tptp.bot_bo3957492148770167129t_unit (ll_1312 BOUND_VARIABLE_272173))))) (let ((_let_18659 (forall ((BOUND_VARIABLE_272167 tptp.set_Product_unit) (BOUND_VARIABLE_272168 tptp.product_unit)) (= BOUND_VARIABLE_272167 (ll_1311 BOUND_VARIABLE_272167 BOUND_VARIABLE_272168))))) (let ((_let_18660 (forall ((BOUND_VARIABLE_272161 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_272162 tptp.ref_a)) (= BOUND_VARIABLE_272161 (ll_1310 BOUND_VARIABLE_272161 BOUND_VARIABLE_272162))))) (let ((_let_18661 (forall ((BOUND_VARIABLE_272155 tptp.set_he8644174446132254637t_unit) (BOUND_VARIABLE_272156 tptp.ref_a)) (= BOUND_VARIABLE_272155 (ll_1309 BOUND_VARIABLE_272155 BOUND_VARIABLE_272156))))) (let ((_let_18662 (forall ((BOUND_VARIABLE_272121 tptp.set_nat) (BOUND_VARIABLE_272122 tptp.product_prod_nat_nat)) (= (ll_1308 BOUND_VARIABLE_272121 BOUND_VARIABLE_272122) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272122)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3398 BOUND_VARIABLE_272121)) (@ tptp.collect_nat ll_1295)))))))) (let ((_let_18663 (forall ((BOUND_VARIABLE_272086 tptp.set_nat) (BOUND_VARIABLE_272087 tptp.set_nat) (BOUND_VARIABLE_272088 tptp.product_prod_nat_nat)) (= (ll_1307 BOUND_VARIABLE_272086 BOUND_VARIABLE_272087 BOUND_VARIABLE_272088) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_272088)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3397 BOUND_VARIABLE_272086)) BOUND_VARIABLE_272087))))))) (let ((_let_18664 (forall ((BOUND_VARIABLE_272080 tptp.set_o) (BOUND_VARIABLE_272081 tptp.nat)) (= BOUND_VARIABLE_272080 (ll_1306 BOUND_VARIABLE_272080 BOUND_VARIABLE_272081))))) (let ((_let_18665 (forall ((BOUND_VARIABLE_272074 tptp.set_o) (BOUND_VARIABLE_272075 tptp.nat)) (= BOUND_VARIABLE_272074 (ll_1305 BOUND_VARIABLE_272074 BOUND_VARIABLE_272075))))) (let ((_let_18666 (forall ((BOUND_VARIABLE_272068 tptp.set_Product_unit) (BOUND_VARIABLE_272069 tptp.nat)) (= BOUND_VARIABLE_272068 (ll_1304 BOUND_VARIABLE_272068 BOUND_VARIABLE_272069))))) (let ((_let_18667 (forall ((BOUND_VARIABLE_272062 tptp.set_Product_unit) (BOUND_VARIABLE_272063 tptp.nat)) (= BOUND_VARIABLE_272062 (ll_1303 BOUND_VARIABLE_272062 BOUND_VARIABLE_272063))))) (let ((_let_18668 (forall ((BOUND_VARIABLE_272056 tptp.set_nat) (BOUND_VARIABLE_272057 Bool)) (= BOUND_VARIABLE_272056 (ll_1302 BOUND_VARIABLE_272056 BOUND_VARIABLE_272057))))) (let ((_let_18669 (forall ((BOUND_VARIABLE_272050 tptp.set_nat) (BOUND_VARIABLE_272051 Bool)) (= BOUND_VARIABLE_272050 (ll_1301 BOUND_VARIABLE_272050 BOUND_VARIABLE_272051))))) (let ((_let_18670 (forall ((BOUND_VARIABLE_272044 tptp.set_o) (BOUND_VARIABLE_272045 Bool)) (= BOUND_VARIABLE_272044 (ll_1300 BOUND_VARIABLE_272044 BOUND_VARIABLE_272045))))) (let ((_let_18671 (forall ((BOUND_VARIABLE_272038 tptp.set_o) (BOUND_VARIABLE_272039 Bool)) (= BOUND_VARIABLE_272038 (ll_1299 BOUND_VARIABLE_272038 BOUND_VARIABLE_272039))))) (let ((_let_18672 (forall ((BOUND_VARIABLE_272032 tptp.set_Product_unit) (BOUND_VARIABLE_272033 Bool)) (= BOUND_VARIABLE_272032 (ll_1298 BOUND_VARIABLE_272032 BOUND_VARIABLE_272033))))) (let ((_let_18673 (forall ((BOUND_VARIABLE_272026 tptp.set_Product_unit) (BOUND_VARIABLE_272027 Bool)) (= BOUND_VARIABLE_272026 (ll_1297 BOUND_VARIABLE_272026 BOUND_VARIABLE_272027))))) (let ((_let_18674 (forall ((BOUND_VARIABLE_272020 tptp.set_nat) (BOUND_VARIABLE_272021 tptp.product_unit)) (= BOUND_VARIABLE_272020 (ll_1296 BOUND_VARIABLE_272020 BOUND_VARIABLE_272021))))) (let ((_let_18675 (forall ((BOUND_VARIABLE_272011 tptp.nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_set_nat_o (@ tptp.member_nat BOUND_VARIABLE_272011)) (@ (@ tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (ll_1295 BOUND_VARIABLE_272011))))) (let ((_let_18676 (forall ((BOUND_VARIABLE_272005 tptp.set_nat) (BOUND_VARIABLE_272006 tptp.product_unit)) (= BOUND_VARIABLE_272005 (ll_1294 BOUND_VARIABLE_272005 BOUND_VARIABLE_272006))))) (let ((_let_18677 (forall ((BOUND_VARIABLE_271999 tptp.set_o) (BOUND_VARIABLE_272000 tptp.product_unit)) (= BOUND_VARIABLE_271999 (ll_1293 BOUND_VARIABLE_271999 BOUND_VARIABLE_272000))))) (let ((_let_18678 (forall ((BOUND_VARIABLE_271993 tptp.set_o) (BOUND_VARIABLE_271994 tptp.product_unit)) (= BOUND_VARIABLE_271993 (ll_1292 BOUND_VARIABLE_271993 BOUND_VARIABLE_271994))))) (let ((_let_18679 (forall ((BOUND_VARIABLE_271987 tptp.set_Product_unit) (BOUND_VARIABLE_271988 tptp.product_unit)) (= BOUND_VARIABLE_271987 (ll_1291 BOUND_VARIABLE_271987 BOUND_VARIABLE_271988))))) (let ((_let_18680 (forall ((BOUND_VARIABLE_271981 tptp.set_Product_unit) (BOUND_VARIABLE_271982 tptp.product_unit)) (= BOUND_VARIABLE_271981 (ll_1290 BOUND_VARIABLE_271981 BOUND_VARIABLE_271982))))) (let ((_let_18681 (forall ((BOUND_VARIABLE_271946 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271947 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271948 tptp.produc3843707927480180839at_nat)) (= (ll_1289 BOUND_VARIABLE_271946 BOUND_VARIABLE_271947 BOUND_VARIABLE_271948) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_271948)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3396 BOUND_VARIABLE_271946)) BOUND_VARIABLE_271947))))))) (let ((_let_18682 (forall ((BOUND_VARIABLE_271929 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_271930 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_271931 tptp.int) (BOUND_VARIABLE_271932 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_271929 BOUND_VARIABLE_271931) B4)) (not (@ (@ BOUND_VARIABLE_271930 B4) BOUND_VARIABLE_271932))))) (ll_1288 BOUND_VARIABLE_271929 BOUND_VARIABLE_271930 BOUND_VARIABLE_271931 BOUND_VARIABLE_271932))))) (let ((_let_18683 (forall ((BOUND_VARIABLE_271912 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_271913 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_271914 tptp.product_prod_nat_nat) (BOUND_VARIABLE_271915 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_271912 BOUND_VARIABLE_271914) B4)) (not (@ (@ BOUND_VARIABLE_271913 B4) BOUND_VARIABLE_271915))))) (ll_1287 BOUND_VARIABLE_271912 BOUND_VARIABLE_271913 BOUND_VARIABLE_271914 BOUND_VARIABLE_271915))))) (let ((_let_18684 (forall ((BOUND_VARIABLE_271895 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_271896 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_271897 tptp.int) (BOUND_VARIABLE_271898 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_271895 BOUND_VARIABLE_271897) B4)) (not (@ (@ BOUND_VARIABLE_271896 B4) BOUND_VARIABLE_271898))))) (ll_1286 BOUND_VARIABLE_271895 BOUND_VARIABLE_271896 BOUND_VARIABLE_271897 BOUND_VARIABLE_271898))))) (let ((_let_18685 (forall ((BOUND_VARIABLE_271878 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_271879 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_271880 tptp.product_prod_nat_nat) (BOUND_VARIABLE_271881 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_271878 BOUND_VARIABLE_271880) B4)) (not (@ (@ BOUND_VARIABLE_271879 B4) BOUND_VARIABLE_271881))))) (ll_1285 BOUND_VARIABLE_271878 BOUND_VARIABLE_271879 BOUND_VARIABLE_271880 BOUND_VARIABLE_271881))))) (let ((_let_18686 (forall ((BOUND_VARIABLE_271872 tptp.set_nat) (BOUND_VARIABLE_271873 tptp.int)) (= BOUND_VARIABLE_271872 (ll_1284 BOUND_VARIABLE_271872 BOUND_VARIABLE_271873))))) (let ((_let_18687 (forall ((BOUND_VARIABLE_271863 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_271864 tptp.set_nat) (BOUND_VARIABLE_271865 tptp.int)) (= (@ (@ tptp.image_nat_nat BOUND_VARIABLE_271863) BOUND_VARIABLE_271864) (ll_1283 BOUND_VARIABLE_271863 BOUND_VARIABLE_271864 BOUND_VARIABLE_271865))))) (let ((_let_18688 (forall ((BOUND_VARIABLE_271857 tptp.set_nat) (BOUND_VARIABLE_271858 tptp.int)) (= BOUND_VARIABLE_271857 (ll_1282 BOUND_VARIABLE_271857 BOUND_VARIABLE_271858))))) (let ((_let_18689 (forall ((BOUND_VARIABLE_271848 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_271849 tptp.set_nat) (BOUND_VARIABLE_271850 tptp.int)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_271848) BOUND_VARIABLE_271849) (ll_1281 BOUND_VARIABLE_271848 BOUND_VARIABLE_271849 BOUND_VARIABLE_271850))))) (let ((_let_18690 (forall ((BOUND_VARIABLE_271839 (-> tptp.int tptp.int)) (BOUND_VARIABLE_271840 tptp.set_int) (BOUND_VARIABLE_271841 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_271839) BOUND_VARIABLE_271840) (ll_1280 BOUND_VARIABLE_271839 BOUND_VARIABLE_271840 BOUND_VARIABLE_271841))))) (let ((_let_18691 (forall ((BOUND_VARIABLE_271804 tptp.set_int) (BOUND_VARIABLE_271805 tptp.set_int) (BOUND_VARIABLE_271806 tptp.product_prod_int_int)) (= (ll_1279 BOUND_VARIABLE_271804 BOUND_VARIABLE_271805 BOUND_VARIABLE_271806) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_271806)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3395 BOUND_VARIABLE_271804)) BOUND_VARIABLE_271805))))))) (let ((_let_18692 (forall ((BOUND_VARIABLE_271798 tptp.set_nat) (BOUND_VARIABLE_271799 tptp.int)) (= BOUND_VARIABLE_271798 (ll_1278 BOUND_VARIABLE_271798 BOUND_VARIABLE_271799))))) (let ((_let_18693 (forall ((BOUND_VARIABLE_271789 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_271790 tptp.set_nat) (BOUND_VARIABLE_271791 tptp.nat)) (= (@ (@ tptp.image_nat_int BOUND_VARIABLE_271789) BOUND_VARIABLE_271790) (ll_1277 BOUND_VARIABLE_271789 BOUND_VARIABLE_271790 BOUND_VARIABLE_271791))))) (let ((_let_18694 (forall ((BOUND_VARIABLE_271783 tptp.set_nat) (BOUND_VARIABLE_271784 tptp.int)) (= BOUND_VARIABLE_271783 (ll_1276 BOUND_VARIABLE_271783 BOUND_VARIABLE_271784))))) (let ((_let_18695 (forall ((BOUND_VARIABLE_271774 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_271775 tptp.set_nat) (BOUND_VARIABLE_271776 tptp.nat)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_271774) BOUND_VARIABLE_271775) (ll_1275 BOUND_VARIABLE_271774 BOUND_VARIABLE_271775 BOUND_VARIABLE_271776))))) (let ((_let_18696 (forall ((BOUND_VARIABLE_271768 tptp.set_int) (BOUND_VARIABLE_271769 tptp.nat)) (= BOUND_VARIABLE_271768 (ll_1274 BOUND_VARIABLE_271768 BOUND_VARIABLE_271769))))) (let ((_let_18697 (forall ((BOUND_VARIABLE_271722 (-> tptp.int tptp.int)) (BOUND_VARIABLE_271723 tptp.set_int) (BOUND_VARIABLE_271724 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_271725 tptp.set_nat) (BOUND_VARIABLE_271726 tptp.product_prod_int_int)) (= (ll_1273 BOUND_VARIABLE_271722 BOUND_VARIABLE_271723 BOUND_VARIABLE_271724 BOUND_VARIABLE_271725 BOUND_VARIABLE_271726) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_271726)) (@ (@ tptp.image_8635204845542730022nt_int (@ (@ ll_3394 BOUND_VARIABLE_271722) BOUND_VARIABLE_271723)) (@ (@ tptp.image_nat_int BOUND_VARIABLE_271724) BOUND_VARIABLE_271725)))))))) (let ((_let_18698 (forall ((BOUND_VARIABLE_271716 tptp.set_int) (BOUND_VARIABLE_271717 tptp.nat)) (= BOUND_VARIABLE_271716 (ll_1272 BOUND_VARIABLE_271716 BOUND_VARIABLE_271717))))) (let ((_let_18699 (forall ((BOUND_VARIABLE_271707 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_271708 tptp.set_int) (BOUND_VARIABLE_271709 tptp.int)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_271707) BOUND_VARIABLE_271708) (ll_1271 BOUND_VARIABLE_271707 BOUND_VARIABLE_271708 BOUND_VARIABLE_271709))))) (let ((_let_18700 (forall ((BOUND_VARIABLE_271701 tptp.set_int) (BOUND_VARIABLE_271702 tptp.nat)) (= BOUND_VARIABLE_271701 (ll_1270 BOUND_VARIABLE_271701 BOUND_VARIABLE_271702))))) (let ((_let_18701 (forall ((BOUND_VARIABLE_271692 (-> tptp.int tptp.int)) (BOUND_VARIABLE_271693 tptp.set_int) (BOUND_VARIABLE_271694 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_271692) BOUND_VARIABLE_271693) (ll_1269 BOUND_VARIABLE_271692 BOUND_VARIABLE_271693 BOUND_VARIABLE_271694))))) (let ((_let_18702 (forall ((BOUND_VARIABLE_271686 tptp.set_int) (BOUND_VARIABLE_271687 tptp.nat)) (= BOUND_VARIABLE_271686 (ll_1268 BOUND_VARIABLE_271686 BOUND_VARIABLE_271687))))) (let ((_let_18703 (forall ((BOUND_VARIABLE_271677 (-> tptp.int tptp.int)) (BOUND_VARIABLE_271678 tptp.set_int) (BOUND_VARIABLE_271679 tptp.rat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_271677) BOUND_VARIABLE_271678) (ll_1267 BOUND_VARIABLE_271677 BOUND_VARIABLE_271678 BOUND_VARIABLE_271679))))) (let ((_let_18704 (forall ((BOUND_VARIABLE_271671 tptp.set_int) (BOUND_VARIABLE_271672 tptp.nat)) (= BOUND_VARIABLE_271671 (ll_1266 BOUND_VARIABLE_271671 BOUND_VARIABLE_271672))))) (let ((_let_18705 (forall ((BOUND_VARIABLE_271662 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_271663 tptp.set_int) (BOUND_VARIABLE_271664 tptp.rat)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_271662) BOUND_VARIABLE_271663) (ll_1265 BOUND_VARIABLE_271662 BOUND_VARIABLE_271663 BOUND_VARIABLE_271664))))) (let ((_let_18706 (forall ((BOUND_VARIABLE_271627 tptp.set_int) (BOUND_VARIABLE_271628 tptp.set_int) (BOUND_VARIABLE_271629 tptp.product_prod_int_int)) (= (ll_1264 BOUND_VARIABLE_271627 BOUND_VARIABLE_271628 BOUND_VARIABLE_271629) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_271629)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3393 BOUND_VARIABLE_271627)) BOUND_VARIABLE_271628))))))) (let ((_let_18707 (forall ((BOUND_VARIABLE_271592 tptp.set_int) (BOUND_VARIABLE_271593 tptp.set_int) (BOUND_VARIABLE_271594 tptp.product_prod_int_int)) (= (ll_1263 BOUND_VARIABLE_271592 BOUND_VARIABLE_271593 BOUND_VARIABLE_271594) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_271594)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3392 BOUND_VARIABLE_271592)) BOUND_VARIABLE_271593))))))) (let ((_let_18708 (forall ((BOUND_VARIABLE_271584 tptp.nat) (BOUND_VARIABLE_271585 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_271585) BOUND_VARIABLE_271584) (ll_1262 BOUND_VARIABLE_271584 BOUND_VARIABLE_271585))))) (let ((_let_18709 (forall ((BOUND_VARIABLE_271549 tptp.set_nat) (BOUND_VARIABLE_271550 tptp.set_nat) (BOUND_VARIABLE_271551 tptp.product_prod_nat_nat)) (= (ll_1261 BOUND_VARIABLE_271549 BOUND_VARIABLE_271550 BOUND_VARIABLE_271551) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_271551)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3391 BOUND_VARIABLE_271549)) BOUND_VARIABLE_271550))))))) (let ((_let_18710 (forall ((BOUND_VARIABLE_271514 tptp.set_nat) (BOUND_VARIABLE_271515 tptp.set_nat) (BOUND_VARIABLE_271516 tptp.product_prod_nat_nat)) (= (ll_1260 BOUND_VARIABLE_271514 BOUND_VARIABLE_271515 BOUND_VARIABLE_271516) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_271516)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3390 BOUND_VARIABLE_271514)) BOUND_VARIABLE_271515))))))) (let ((_let_18711 (forall ((BOUND_VARIABLE_271506 tptp.num) (BOUND_VARIABLE_271507 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_271507) BOUND_VARIABLE_271506) (ll_1259 BOUND_VARIABLE_271506 BOUND_VARIABLE_271507))))) (let ((_let_18712 (forall ((BOUND_VARIABLE_271500 tptp.set_nat) (BOUND_VARIABLE_271501 tptp.num)) (= BOUND_VARIABLE_271500 (ll_1258 BOUND_VARIABLE_271500 BOUND_VARIABLE_271501))))) (let ((_let_18713 (forall ((BOUND_VARIABLE_271472 tptp.set_num) (BOUND_VARIABLE_271473 tptp.nat)) (= (ll_1257 BOUND_VARIABLE_271472 BOUND_VARIABLE_271473) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3389 BOUND_VARIABLE_271473)) BOUND_VARIABLE_271472)))))) (let ((_let_18714 (forall ((BOUND_VARIABLE_271464 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_271465 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_271465) BOUND_VARIABLE_271464) (ll_1256 BOUND_VARIABLE_271464 BOUND_VARIABLE_271465))))) (let ((_let_18715 (forall ((BOUND_VARIABLE_271429 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271430 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271431 tptp.produc3843707927480180839at_nat)) (= (ll_1255 BOUND_VARIABLE_271429 BOUND_VARIABLE_271430 BOUND_VARIABLE_271431) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_271431)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3388 BOUND_VARIABLE_271429)) BOUND_VARIABLE_271430))))))) (let ((_let_18716 (forall ((BOUND_VARIABLE_271393 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271394 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_271395 tptp.produc3843707927480180839at_nat)) (= (ll_1254 BOUND_VARIABLE_271393 BOUND_VARIABLE_271394 BOUND_VARIABLE_271395) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_271395)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3387 BOUND_VARIABLE_271393)) BOUND_VARIABLE_271394))))))) (let ((_let_18717 (forall ((BOUND_VARIABLE_271385 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_271386 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_271386) BOUND_VARIABLE_271385) (ll_1253 BOUND_VARIABLE_271385 BOUND_VARIABLE_271386))))) (let ((_let_18718 (forall ((BOUND_VARIABLE_271357 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_271358 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1252 BOUND_VARIABLE_271357 BOUND_VARIABLE_271358) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3386 BOUND_VARIABLE_271358)) BOUND_VARIABLE_271357)))))) (let ((_let_18719 (forall ((BOUND_VARIABLE_271329 tptp.set_se5479201105039950375at_nat) (BOUND_VARIABLE_271330 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1251 BOUND_VARIABLE_271329 BOUND_VARIABLE_271330) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3385 BOUND_VARIABLE_271330)) BOUND_VARIABLE_271329)))))) (let ((_let_18720 (forall ((BOUND_VARIABLE_271318 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_271319 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_271320 tptp.code_integer) (BOUND_VARIABLE_271321 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_271318 (@ BOUND_VARIABLE_271319 BOUND_VARIABLE_271320)) BOUND_VARIABLE_271321) (ll_1250 BOUND_VARIABLE_271318 BOUND_VARIABLE_271319 BOUND_VARIABLE_271320 BOUND_VARIABLE_271321))))) (let ((_let_18721 (forall ((BOUND_VARIABLE_271301 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_271302 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_271303 tptp.product_prod_nat_nat) (BOUND_VARIABLE_271304 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_271301 BOUND_VARIABLE_271303) B4)) (not (@ (@ BOUND_VARIABLE_271302 B4) BOUND_VARIABLE_271304))))) (ll_1249 BOUND_VARIABLE_271301 BOUND_VARIABLE_271302 BOUND_VARIABLE_271303 BOUND_VARIABLE_271304))))) (let ((_let_18722 (forall ((BOUND_VARIABLE_271284 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_271285 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_271286 tptp.int) (BOUND_VARIABLE_271287 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_271284 BOUND_VARIABLE_271286) B4)) (not (@ (@ BOUND_VARIABLE_271285 B4) BOUND_VARIABLE_271287))))) (ll_1248 BOUND_VARIABLE_271284 BOUND_VARIABLE_271285 BOUND_VARIABLE_271286 BOUND_VARIABLE_271287))))) (let ((_let_18723 (forall ((BOUND_VARIABLE_271275 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_271276 (-> tptp.int tptp.int)) (BOUND_VARIABLE_271277 tptp.int)) (= (@ BOUND_VARIABLE_271275 (@ BOUND_VARIABLE_271276 BOUND_VARIABLE_271277)) (ll_1247 BOUND_VARIABLE_271275 BOUND_VARIABLE_271276 BOUND_VARIABLE_271277))))) (let ((_let_18724 (forall ((BOUND_VARIABLE_271266 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_271267 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_271268 tptp.nat)) (= (@ BOUND_VARIABLE_271266 (@ BOUND_VARIABLE_271267 BOUND_VARIABLE_271268)) (ll_1246 BOUND_VARIABLE_271266 BOUND_VARIABLE_271267 BOUND_VARIABLE_271268))))) (let ((_let_18725 (forall ((BOUND_VARIABLE_271257 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_271258 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_271259 tptp.nat)) (= (@ BOUND_VARIABLE_271257 (@ BOUND_VARIABLE_271258 BOUND_VARIABLE_271259)) (ll_1245 BOUND_VARIABLE_271257 BOUND_VARIABLE_271258 BOUND_VARIABLE_271259))))) (let ((_let_18726 (forall ((BOUND_VARIABLE_271248 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_271249 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_271250 tptp.int)) (= (@ BOUND_VARIABLE_271248 (@ BOUND_VARIABLE_271249 BOUND_VARIABLE_271250)) (ll_1244 BOUND_VARIABLE_271248 BOUND_VARIABLE_271249 BOUND_VARIABLE_271250))))) (let ((_let_18727 (forall ((BOUND_VARIABLE_271239 (-> Bool Bool)) (BOUND_VARIABLE_271240 (-> tptp.nat Bool)) (BOUND_VARIABLE_271241 tptp.nat)) (= (@ BOUND_VARIABLE_271239 (@ BOUND_VARIABLE_271240 BOUND_VARIABLE_271241)) (ll_1243 BOUND_VARIABLE_271239 BOUND_VARIABLE_271240 BOUND_VARIABLE_271241))))) (let ((_let_18728 (forall ((BOUND_VARIABLE_271230 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_271231 (-> tptp.int tptp.int)) (BOUND_VARIABLE_271232 tptp.int)) (= (@ BOUND_VARIABLE_271230 (@ BOUND_VARIABLE_271231 BOUND_VARIABLE_271232)) (ll_1242 BOUND_VARIABLE_271230 BOUND_VARIABLE_271231 BOUND_VARIABLE_271232))))) (let ((_let_18729 (forall ((BOUND_VARIABLE_271221 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_271222 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_271223 tptp.int)) (= (@ BOUND_VARIABLE_271221 (@ BOUND_VARIABLE_271222 BOUND_VARIABLE_271223)) (ll_1241 BOUND_VARIABLE_271221 BOUND_VARIABLE_271222 BOUND_VARIABLE_271223))))) (let ((_let_18730 (forall ((BOUND_VARIABLE_271212 (-> Bool Bool)) (BOUND_VARIABLE_271213 (-> tptp.nat Bool)) (BOUND_VARIABLE_271214 tptp.nat)) (= (@ BOUND_VARIABLE_271212 (@ BOUND_VARIABLE_271213 BOUND_VARIABLE_271214)) (ll_1240 BOUND_VARIABLE_271212 BOUND_VARIABLE_271213 BOUND_VARIABLE_271214))))) (let ((_let_18731 (forall ((BOUND_VARIABLE_271177 tptp.set_nat) (BOUND_VARIABLE_271178 tptp.set_nat) (BOUND_VARIABLE_271179 tptp.product_prod_nat_nat)) (= (ll_1239 BOUND_VARIABLE_271177 BOUND_VARIABLE_271178 BOUND_VARIABLE_271179) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_271179)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3384 BOUND_VARIABLE_271177)) BOUND_VARIABLE_271178))))))) (let ((_let_18732 (forall ((BOUND_VARIABLE_271142 tptp.set_nat) (BOUND_VARIABLE_271143 tptp.set_nat) (BOUND_VARIABLE_271144 tptp.product_prod_nat_nat)) (= (ll_1238 BOUND_VARIABLE_271142 BOUND_VARIABLE_271143 BOUND_VARIABLE_271144) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_271144)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3383 BOUND_VARIABLE_271142)) BOUND_VARIABLE_271143))))))) (let ((_let_18733 (forall ((BOUND_VARIABLE_271136 tptp.set_o) (BOUND_VARIABLE_271137 tptp.product_prod_nat_nat)) (= BOUND_VARIABLE_271136 (ll_1237 BOUND_VARIABLE_271136 BOUND_VARIABLE_271137))))) (let ((_let_18734 (forall ((BOUND_VARIABLE_271101 tptp.set_nat) (BOUND_VARIABLE_271102 tptp.set_nat) (BOUND_VARIABLE_271103 tptp.product_prod_nat_nat)) (= (ll_1236 BOUND_VARIABLE_271101 BOUND_VARIABLE_271102 BOUND_VARIABLE_271103) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_271103)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3382 BOUND_VARIABLE_271101)) BOUND_VARIABLE_271102))))))) (let ((_let_18735 (forall ((BOUND_VARIABLE_271066 tptp.set_int) (BOUND_VARIABLE_271067 tptp.set_int) (BOUND_VARIABLE_271068 tptp.product_prod_int_int)) (= (ll_1235 BOUND_VARIABLE_271066 BOUND_VARIABLE_271067 BOUND_VARIABLE_271068) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_271068)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3381 BOUND_VARIABLE_271066)) BOUND_VARIABLE_271067))))))) (let ((_let_18736 (forall ((BOUND_VARIABLE_271060 tptp.set_nat) (BOUND_VARIABLE_271061 tptp.int)) (= BOUND_VARIABLE_271060 (ll_1234 BOUND_VARIABLE_271060 BOUND_VARIABLE_271061))))) (let ((_let_18737 (forall ((BOUND_VARIABLE_271054 tptp.set_o) (BOUND_VARIABLE_271055 tptp.int)) (= BOUND_VARIABLE_271054 (ll_1233 BOUND_VARIABLE_271054 BOUND_VARIABLE_271055))))) (let ((_let_18738 (forall ((BOUND_VARIABLE_271048 tptp.set_int) (BOUND_VARIABLE_271049 tptp.nat)) (= BOUND_VARIABLE_271048 (ll_1232 BOUND_VARIABLE_271048 BOUND_VARIABLE_271049))))) (let ((_let_18739 (forall ((BOUND_VARIABLE_271042 tptp.set_o) (BOUND_VARIABLE_271043 tptp.nat)) (= BOUND_VARIABLE_271042 (ll_1231 BOUND_VARIABLE_271042 BOUND_VARIABLE_271043))))) (let ((_let_18740 (forall ((BOUND_VARIABLE_271036 tptp.set_int) (BOUND_VARIABLE_271037 Bool)) (= BOUND_VARIABLE_271036 (ll_1230 BOUND_VARIABLE_271036 BOUND_VARIABLE_271037))))) (let ((_let_18741 (forall ((BOUND_VARIABLE_271030 tptp.set_nat) (BOUND_VARIABLE_271031 Bool)) (= BOUND_VARIABLE_271030 (ll_1229 BOUND_VARIABLE_271030 BOUND_VARIABLE_271031))))) (let ((_let_18742 (forall ((BOUND_VARIABLE_271024 tptp.set_o) (BOUND_VARIABLE_271025 Bool)) (= BOUND_VARIABLE_271024 (ll_1228 BOUND_VARIABLE_271024 BOUND_VARIABLE_271025))))) (let ((_let_18743 (forall ((BOUND_VARIABLE_270989 tptp.set_nat) (BOUND_VARIABLE_270990 tptp.set_nat) (BOUND_VARIABLE_270991 tptp.product_prod_nat_nat)) (= (ll_1227 BOUND_VARIABLE_270989 BOUND_VARIABLE_270990 BOUND_VARIABLE_270991) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270991)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3380 BOUND_VARIABLE_270989)) BOUND_VARIABLE_270990))))))) (let ((_let_18744 (forall ((BOUND_VARIABLE_270954 tptp.set_nat) (BOUND_VARIABLE_270955 tptp.set_nat) (BOUND_VARIABLE_270956 tptp.product_prod_nat_nat)) (= (ll_1226 BOUND_VARIABLE_270954 BOUND_VARIABLE_270955 BOUND_VARIABLE_270956) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270956)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3379 BOUND_VARIABLE_270954)) BOUND_VARIABLE_270955))))))) (let ((_let_18745 (forall ((BOUND_VARIABLE_270917 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270918 tptp.set_nat) (BOUND_VARIABLE_270919 tptp.product_prod_nat_nat)) (= (ll_1225 BOUND_VARIABLE_270917 BOUND_VARIABLE_270918 BOUND_VARIABLE_270919) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270919)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3378 BOUND_VARIABLE_270917)) BOUND_VARIABLE_270918))))))) (let ((_let_18746 (forall ((BOUND_VARIABLE_270880 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270881 tptp.set_nat) (BOUND_VARIABLE_270882 tptp.product_prod_nat_nat)) (= (ll_1224 BOUND_VARIABLE_270880 BOUND_VARIABLE_270881 BOUND_VARIABLE_270882) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270882)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3377 BOUND_VARIABLE_270880)) BOUND_VARIABLE_270881))))))) (let ((_let_18747 (forall ((BOUND_VARIABLE_270867 (-> tptp.int Bool)) (BOUND_VARIABLE_270868 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_270869 tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_fst_int_int BOUND_VARIABLE_270869))) (= (and (@ BOUND_VARIABLE_270867 _let_1) (@ (@ BOUND_VARIABLE_270868 _let_1) (@ tptp.product_snd_int_int BOUND_VARIABLE_270869))) (ll_1223 BOUND_VARIABLE_270867 BOUND_VARIABLE_270868 BOUND_VARIABLE_270869)))))) (let ((_let_18748 (forall ((BOUND_VARIABLE_270826 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_270827 (-> tptp.int Bool)) (BOUND_VARIABLE_270828 tptp.product_prod_int_int)) (= (ll_1222 BOUND_VARIABLE_270826 BOUND_VARIABLE_270827 BOUND_VARIABLE_270828) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_270828)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3376 BOUND_VARIABLE_270826)) (@ tptp.collect_int BOUND_VARIABLE_270827)))))))) (let ((_let_18749 (forall ((BOUND_VARIABLE_270814 (-> tptp.nat Bool)) (BOUND_VARIABLE_270815 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_270816 tptp.nat) (BOUND_VARIABLE_270817 tptp.nat)) (= (and (@ BOUND_VARIABLE_270814 BOUND_VARIABLE_270816) (@ (@ BOUND_VARIABLE_270815 BOUND_VARIABLE_270816) BOUND_VARIABLE_270817)) (ll_1221 BOUND_VARIABLE_270814 BOUND_VARIABLE_270815 BOUND_VARIABLE_270816 BOUND_VARIABLE_270817))))) (let ((_let_18750 (forall ((BOUND_VARIABLE_270773 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_270774 (-> tptp.nat Bool)) (BOUND_VARIABLE_270775 tptp.product_prod_nat_nat)) (= (ll_1220 BOUND_VARIABLE_270773 BOUND_VARIABLE_270774 BOUND_VARIABLE_270775) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270775)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3375 BOUND_VARIABLE_270773)) (@ tptp.collect_nat BOUND_VARIABLE_270774)))))))) (let ((_let_18751 (forall ((BOUND_VARIABLE_270761 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270762 (-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270763 tptp.product_prod_int_int) (BOUND_VARIABLE_270764 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_270761 BOUND_VARIABLE_270763) (@ (@ BOUND_VARIABLE_270762 BOUND_VARIABLE_270763) BOUND_VARIABLE_270764)) (ll_1219 BOUND_VARIABLE_270761 BOUND_VARIABLE_270762 BOUND_VARIABLE_270763 BOUND_VARIABLE_270764))))) (let ((_let_18752 (forall ((BOUND_VARIABLE_270753 (-> tptp.product_prod_int_int tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270754 tptp.product_prod_int_int)) (= (@ tptp.collec213857154873943460nt_int (@ BOUND_VARIABLE_270753 BOUND_VARIABLE_270754)) (ll_1218 BOUND_VARIABLE_270753 BOUND_VARIABLE_270754))))) (let ((_let_18753 (forall ((BOUND_VARIABLE_270741 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270742 (-> tptp.product_prod_int_int tptp.nat Bool)) (BOUND_VARIABLE_270743 tptp.product_prod_int_int) (BOUND_VARIABLE_270744 tptp.nat)) (= (and (@ BOUND_VARIABLE_270741 BOUND_VARIABLE_270743) (@ (@ BOUND_VARIABLE_270742 BOUND_VARIABLE_270743) BOUND_VARIABLE_270744)) (ll_1217 BOUND_VARIABLE_270741 BOUND_VARIABLE_270742 BOUND_VARIABLE_270743 BOUND_VARIABLE_270744))))) (let ((_let_18754 (forall ((BOUND_VARIABLE_270733 (-> tptp.product_prod_int_int tptp.nat Bool)) (BOUND_VARIABLE_270734 tptp.product_prod_int_int)) (= (@ tptp.collect_nat (@ BOUND_VARIABLE_270733 BOUND_VARIABLE_270734)) (ll_1216 BOUND_VARIABLE_270733 BOUND_VARIABLE_270734))))) (let ((_let_18755 (forall ((BOUND_VARIABLE_270721 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270722 (-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270723 tptp.product_prod_int_int) (BOUND_VARIABLE_270724 tptp.product_prod_nat_nat)) (= (and (@ BOUND_VARIABLE_270721 BOUND_VARIABLE_270723) (@ (@ BOUND_VARIABLE_270722 BOUND_VARIABLE_270723) BOUND_VARIABLE_270724)) (ll_1215 BOUND_VARIABLE_270721 BOUND_VARIABLE_270722 BOUND_VARIABLE_270723 BOUND_VARIABLE_270724))))) (let ((_let_18756 (forall ((BOUND_VARIABLE_270713 (-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270714 tptp.product_prod_int_int)) (= (@ tptp.collec3392354462482085612at_nat (@ BOUND_VARIABLE_270713 BOUND_VARIABLE_270714)) (ll_1214 BOUND_VARIABLE_270713 BOUND_VARIABLE_270714))))) (let ((_let_18757 (forall ((BOUND_VARIABLE_270701 (-> tptp.nat Bool)) (BOUND_VARIABLE_270702 (-> tptp.nat tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270703 tptp.nat) (BOUND_VARIABLE_270704 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_270701 BOUND_VARIABLE_270703) (@ (@ BOUND_VARIABLE_270702 BOUND_VARIABLE_270703) BOUND_VARIABLE_270704)) (ll_1213 BOUND_VARIABLE_270701 BOUND_VARIABLE_270702 BOUND_VARIABLE_270703 BOUND_VARIABLE_270704))))) (let ((_let_18758 (forall ((BOUND_VARIABLE_270693 (-> tptp.nat tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270694 tptp.nat)) (= (@ tptp.collec213857154873943460nt_int (@ BOUND_VARIABLE_270693 BOUND_VARIABLE_270694)) (ll_1212 BOUND_VARIABLE_270693 BOUND_VARIABLE_270694))))) (let ((_let_18759 (forall ((BOUND_VARIABLE_270681 (-> tptp.nat Bool)) (BOUND_VARIABLE_270682 (-> tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270683 tptp.nat) (BOUND_VARIABLE_270684 tptp.product_prod_nat_nat)) (= (and (@ BOUND_VARIABLE_270681 BOUND_VARIABLE_270683) (@ (@ BOUND_VARIABLE_270682 BOUND_VARIABLE_270683) BOUND_VARIABLE_270684)) (ll_1211 BOUND_VARIABLE_270681 BOUND_VARIABLE_270682 BOUND_VARIABLE_270683 BOUND_VARIABLE_270684))))) (let ((_let_18760 (forall ((BOUND_VARIABLE_270673 (-> tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270674 tptp.nat)) (= (@ tptp.collec3392354462482085612at_nat (@ BOUND_VARIABLE_270673 BOUND_VARIABLE_270674)) (ll_1210 BOUND_VARIABLE_270673 BOUND_VARIABLE_270674))))) (let ((_let_18761 (forall ((BOUND_VARIABLE_270661 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270662 (-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270663 tptp.product_prod_nat_nat) (BOUND_VARIABLE_270664 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_270661 BOUND_VARIABLE_270663) (@ (@ BOUND_VARIABLE_270662 BOUND_VARIABLE_270663) BOUND_VARIABLE_270664)) (ll_1209 BOUND_VARIABLE_270661 BOUND_VARIABLE_270662 BOUND_VARIABLE_270663 BOUND_VARIABLE_270664))))) (let ((_let_18762 (forall ((BOUND_VARIABLE_270653 (-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_270654 tptp.product_prod_nat_nat)) (= (@ tptp.collec213857154873943460nt_int (@ BOUND_VARIABLE_270653 BOUND_VARIABLE_270654)) (ll_1208 BOUND_VARIABLE_270653 BOUND_VARIABLE_270654))))) (let ((_let_18763 (forall ((BOUND_VARIABLE_270641 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270642 (-> tptp.product_prod_nat_nat tptp.nat Bool)) (BOUND_VARIABLE_270643 tptp.product_prod_nat_nat) (BOUND_VARIABLE_270644 tptp.nat)) (= (and (@ BOUND_VARIABLE_270641 BOUND_VARIABLE_270643) (@ (@ BOUND_VARIABLE_270642 BOUND_VARIABLE_270643) BOUND_VARIABLE_270644)) (ll_1207 BOUND_VARIABLE_270641 BOUND_VARIABLE_270642 BOUND_VARIABLE_270643 BOUND_VARIABLE_270644))))) (let ((_let_18764 (forall ((BOUND_VARIABLE_270633 (-> tptp.product_prod_nat_nat tptp.nat Bool)) (BOUND_VARIABLE_270634 tptp.product_prod_nat_nat)) (= (@ tptp.collect_nat (@ BOUND_VARIABLE_270633 BOUND_VARIABLE_270634)) (ll_1206 BOUND_VARIABLE_270633 BOUND_VARIABLE_270634))))) (let ((_let_18765 (forall ((BOUND_VARIABLE_270621 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270622 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270623 tptp.product_prod_nat_nat) (BOUND_VARIABLE_270624 tptp.product_prod_nat_nat)) (= (and (@ BOUND_VARIABLE_270621 BOUND_VARIABLE_270623) (@ (@ BOUND_VARIABLE_270622 BOUND_VARIABLE_270623) BOUND_VARIABLE_270624)) (ll_1205 BOUND_VARIABLE_270621 BOUND_VARIABLE_270622 BOUND_VARIABLE_270623 BOUND_VARIABLE_270624))))) (let ((_let_18766 (forall ((BOUND_VARIABLE_270613 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_270614 tptp.product_prod_nat_nat)) (= (@ tptp.collec3392354462482085612at_nat (@ BOUND_VARIABLE_270613 BOUND_VARIABLE_270614)) (ll_1204 BOUND_VARIABLE_270613 BOUND_VARIABLE_270614))))) (let ((_let_18767 (forall ((BOUND_VARIABLE_270576 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270577 tptp.set_nat) (BOUND_VARIABLE_270578 tptp.product_prod_nat_nat)) (= (ll_1203 BOUND_VARIABLE_270576 BOUND_VARIABLE_270577 BOUND_VARIABLE_270578) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270578)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3374 BOUND_VARIABLE_270576)) BOUND_VARIABLE_270577))))))) (let ((_let_18768 (forall ((BOUND_VARIABLE_270539 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_270540 tptp.set_int) (BOUND_VARIABLE_270541 tptp.product_prod_int_int)) (= (ll_1202 BOUND_VARIABLE_270539 BOUND_VARIABLE_270540 BOUND_VARIABLE_270541) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_270541)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3373 BOUND_VARIABLE_270539)) BOUND_VARIABLE_270540))))))) (let ((_let_18769 (forall ((BOUND_VARIABLE_270510 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_270511 tptp.nat)) (= (ll_1201 BOUND_VARIABLE_270510 BOUND_VARIABLE_270511) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3372 BOUND_VARIABLE_270511)) (@ BOUND_VARIABLE_270510 BOUND_VARIABLE_270511))))))) (let ((_let_18770 (forall ((BOUND_VARIABLE_270473 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270474 tptp.set_nat) (BOUND_VARIABLE_270475 tptp.product_prod_nat_nat)) (= (ll_1200 BOUND_VARIABLE_270473 BOUND_VARIABLE_270474 BOUND_VARIABLE_270475) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270475)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3371 BOUND_VARIABLE_270473)) BOUND_VARIABLE_270474))))))) (let ((_let_18771 (forall ((BOUND_VARIABLE_270436 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_270437 tptp.set_int) (BOUND_VARIABLE_270438 tptp.product_prod_int_int)) (= (ll_1199 BOUND_VARIABLE_270436 BOUND_VARIABLE_270437 BOUND_VARIABLE_270438) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_270438)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3370 BOUND_VARIABLE_270436)) BOUND_VARIABLE_270437))))))) (let ((_let_18772 (forall ((BOUND_VARIABLE_270407 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_270408 tptp.nat)) (= (ll_1198 BOUND_VARIABLE_270407 BOUND_VARIABLE_270408) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3369 BOUND_VARIABLE_270408)) (@ BOUND_VARIABLE_270407 BOUND_VARIABLE_270408))))))) (let ((_let_18773 (forall ((BOUND_VARIABLE_270370 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_270371 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_270372 tptp.produc3843707927480180839at_nat)) (= (ll_1197 BOUND_VARIABLE_270370 BOUND_VARIABLE_270371 BOUND_VARIABLE_270372) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_270372)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3368 BOUND_VARIABLE_270370)) BOUND_VARIABLE_270371))))))) (let ((_let_18774 (forall ((BOUND_VARIABLE_270341 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)) (BOUND_VARIABLE_270342 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1196 BOUND_VARIABLE_270341 BOUND_VARIABLE_270342) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3367 BOUND_VARIABLE_270342)) (@ BOUND_VARIABLE_270341 BOUND_VARIABLE_270342))))))) (let ((_let_18775 (forall ((BOUND_VARIABLE_270304 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270305 tptp.set_nat) (BOUND_VARIABLE_270306 tptp.product_prod_nat_nat)) (= (ll_1195 BOUND_VARIABLE_270304 BOUND_VARIABLE_270305 BOUND_VARIABLE_270306) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270306)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3366 BOUND_VARIABLE_270304)) BOUND_VARIABLE_270305))))))) (let ((_let_18776 (forall ((BOUND_VARIABLE_270267 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_270268 tptp.set_int) (BOUND_VARIABLE_270269 tptp.product_prod_int_int)) (= (ll_1194 BOUND_VARIABLE_270267 BOUND_VARIABLE_270268 BOUND_VARIABLE_270269) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_270269)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3365 BOUND_VARIABLE_270267)) BOUND_VARIABLE_270268))))))) (let ((_let_18777 (forall ((BOUND_VARIABLE_270238 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_270239 tptp.nat)) (= (ll_1193 BOUND_VARIABLE_270238 BOUND_VARIABLE_270239) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3364 BOUND_VARIABLE_270239)) (@ BOUND_VARIABLE_270238 BOUND_VARIABLE_270239))))))) (let ((_let_18778 (forall ((BOUND_VARIABLE_270200 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (BOUND_VARIABLE_270201 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_270202 tptp.produc3843707927480180839at_nat)) (= (ll_1192 BOUND_VARIABLE_270200 BOUND_VARIABLE_270201 BOUND_VARIABLE_270202) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_270202)) (@ (@ tptp.image_6898982319499645995at_nat (@ ll_3363 BOUND_VARIABLE_270200)) BOUND_VARIABLE_270201))))))) (let ((_let_18779 (forall ((BOUND_VARIABLE_270171 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat)) (BOUND_VARIABLE_270172 tptp.set_Pr4329608150637261639at_nat)) (= (ll_1191 BOUND_VARIABLE_270171 BOUND_VARIABLE_270172) (@ tptp.comple7342073961973170484at_nat (@ (@ tptp.image_1124969593608450885at_nat (@ ll_3362 BOUND_VARIABLE_270172)) (@ BOUND_VARIABLE_270171 BOUND_VARIABLE_270172))))))) (let ((_let_18780 (forall ((BOUND_VARIABLE_270134 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270135 tptp.set_nat) (BOUND_VARIABLE_270136 tptp.product_prod_nat_nat)) (= (ll_1190 BOUND_VARIABLE_270134 BOUND_VARIABLE_270135 BOUND_VARIABLE_270136) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270136)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3361 BOUND_VARIABLE_270134)) BOUND_VARIABLE_270135))))))) (let ((_let_18781 (forall ((BOUND_VARIABLE_270097 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_270098 tptp.set_int) (BOUND_VARIABLE_270099 tptp.product_prod_int_int)) (= (ll_1189 BOUND_VARIABLE_270097 BOUND_VARIABLE_270098 BOUND_VARIABLE_270099) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_270099)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3360 BOUND_VARIABLE_270097)) BOUND_VARIABLE_270098))))))) (let ((_let_18782 (forall ((BOUND_VARIABLE_270068 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_270069 tptp.nat)) (= (ll_1188 BOUND_VARIABLE_270068 BOUND_VARIABLE_270069) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3359 BOUND_VARIABLE_270069)) (@ BOUND_VARIABLE_270068 BOUND_VARIABLE_270069))))))) (let ((_let_18783 (forall ((BOUND_VARIABLE_270031 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_270032 tptp.set_nat) (BOUND_VARIABLE_270033 tptp.product_prod_nat_nat)) (= (ll_1187 BOUND_VARIABLE_270031 BOUND_VARIABLE_270032 BOUND_VARIABLE_270033) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_270033)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3358 BOUND_VARIABLE_270031)) BOUND_VARIABLE_270032))))))) (let ((_let_18784 (forall ((BOUND_VARIABLE_269994 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_269995 tptp.set_nat) (BOUND_VARIABLE_269996 tptp.product_prod_nat_nat)) (= (ll_1186 BOUND_VARIABLE_269994 BOUND_VARIABLE_269995 BOUND_VARIABLE_269996) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269996)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3357 BOUND_VARIABLE_269994)) BOUND_VARIABLE_269995))))))) (let ((_let_18785 (forall ((BOUND_VARIABLE_269959 tptp.set_nat) (BOUND_VARIABLE_269960 tptp.set_nat) (BOUND_VARIABLE_269961 tptp.product_prod_nat_nat)) (= (ll_1185 BOUND_VARIABLE_269959 BOUND_VARIABLE_269960 BOUND_VARIABLE_269961) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269961)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3356 BOUND_VARIABLE_269959)) BOUND_VARIABLE_269960))))))) (let ((_let_18786 (forall ((BOUND_VARIABLE_269924 tptp.set_nat) (BOUND_VARIABLE_269925 tptp.set_nat) (BOUND_VARIABLE_269926 tptp.product_prod_nat_nat)) (= (ll_1184 BOUND_VARIABLE_269924 BOUND_VARIABLE_269925 BOUND_VARIABLE_269926) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269926)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3355 BOUND_VARIABLE_269924)) BOUND_VARIABLE_269925))))))) (let ((_let_18787 (forall ((BOUND_VARIABLE_269912 tptp.int) (BOUND_VARIABLE_269913 tptp.int) (BOUND_VARIABLE_269914 tptp.product_prod_int_int)) (= (ll_1183 BOUND_VARIABLE_269912 BOUND_VARIABLE_269913 BOUND_VARIABLE_269914) (and (= BOUND_VARIABLE_269912 (@ tptp.product_fst_int_int BOUND_VARIABLE_269914)) (= BOUND_VARIABLE_269913 (@ tptp.product_snd_int_int BOUND_VARIABLE_269914))))))) (let ((_let_18788 (forall ((BOUND_VARIABLE_269901 tptp.nat) (BOUND_VARIABLE_269902 tptp.nat) (BOUND_VARIABLE_269903 tptp.nat) (BOUND_VARIABLE_269904 tptp.nat)) (= (and (= BOUND_VARIABLE_269901 BOUND_VARIABLE_269903) (= BOUND_VARIABLE_269902 BOUND_VARIABLE_269904)) (ll_1182 BOUND_VARIABLE_269901 BOUND_VARIABLE_269902 BOUND_VARIABLE_269903 BOUND_VARIABLE_269904))))) (let ((_let_18789 (forall ((BOUND_VARIABLE_269890 tptp.nat) (BOUND_VARIABLE_269891 tptp.num) (BOUND_VARIABLE_269892 tptp.nat) (BOUND_VARIABLE_269893 tptp.num)) (= (and (= BOUND_VARIABLE_269890 BOUND_VARIABLE_269892) (= BOUND_VARIABLE_269891 BOUND_VARIABLE_269893)) (ll_1181 BOUND_VARIABLE_269890 BOUND_VARIABLE_269891 BOUND_VARIABLE_269892 BOUND_VARIABLE_269893))))) (let ((_let_18790 (forall ((BOUND_VARIABLE_269879 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269880 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269881 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269882 tptp.set_Pr1261947904930325089at_nat)) (= (and (= BOUND_VARIABLE_269879 BOUND_VARIABLE_269881) (= BOUND_VARIABLE_269880 BOUND_VARIABLE_269882)) (ll_1180 BOUND_VARIABLE_269879 BOUND_VARIABLE_269880 BOUND_VARIABLE_269881 BOUND_VARIABLE_269882))))) (let ((_let_18791 (forall ((BOUND_VARIABLE_269868 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269869 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269870 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269871 tptp.set_Pr4329608150637261639at_nat)) (= (and (= BOUND_VARIABLE_269868 BOUND_VARIABLE_269870) (= BOUND_VARIABLE_269869 BOUND_VARIABLE_269871)) (ll_1179 BOUND_VARIABLE_269868 BOUND_VARIABLE_269869 BOUND_VARIABLE_269870 BOUND_VARIABLE_269871))))) (let ((_let_18792 (forall ((BOUND_VARIABLE_269856 (-> tptp.int Bool)) (BOUND_VARIABLE_269857 (-> tptp.int Bool)) (BOUND_VARIABLE_269858 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_269856 (@ tptp.product_fst_int_int BOUND_VARIABLE_269858)) (@ BOUND_VARIABLE_269857 (@ tptp.product_snd_int_int BOUND_VARIABLE_269858))) (ll_1178 BOUND_VARIABLE_269856 BOUND_VARIABLE_269857 BOUND_VARIABLE_269858))))) (let ((_let_18793 (forall ((BOUND_VARIABLE_269817 (-> tptp.int Bool)) (BOUND_VARIABLE_269818 (-> tptp.int Bool)) (BOUND_VARIABLE_269819 tptp.product_prod_int_int)) (= (ll_1177 BOUND_VARIABLE_269817 BOUND_VARIABLE_269818 BOUND_VARIABLE_269819) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_269819)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3354 BOUND_VARIABLE_269817)) (@ tptp.collect_int BOUND_VARIABLE_269818)))))))) (let ((_let_18794 (forall ((BOUND_VARIABLE_269806 (-> tptp.nat Bool)) (BOUND_VARIABLE_269807 (-> tptp.nat Bool)) (BOUND_VARIABLE_269808 tptp.nat) (BOUND_VARIABLE_269809 tptp.nat)) (= (and (@ BOUND_VARIABLE_269806 BOUND_VARIABLE_269808) (@ BOUND_VARIABLE_269807 BOUND_VARIABLE_269809)) (ll_1176 BOUND_VARIABLE_269806 BOUND_VARIABLE_269807 BOUND_VARIABLE_269808 BOUND_VARIABLE_269809))))) (let ((_let_18795 (forall ((BOUND_VARIABLE_269767 (-> tptp.nat Bool)) (BOUND_VARIABLE_269768 (-> tptp.nat Bool)) (BOUND_VARIABLE_269769 tptp.product_prod_nat_nat)) (= (ll_1175 BOUND_VARIABLE_269767 BOUND_VARIABLE_269768 BOUND_VARIABLE_269769) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269769)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3353 BOUND_VARIABLE_269767)) (@ tptp.collect_nat BOUND_VARIABLE_269768)))))))) (let ((_let_18796 (forall ((BOUND_VARIABLE_269756 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269757 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269758 tptp.product_prod_int_int) (BOUND_VARIABLE_269759 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_269756 BOUND_VARIABLE_269758) (@ BOUND_VARIABLE_269757 BOUND_VARIABLE_269759)) (ll_1174 BOUND_VARIABLE_269756 BOUND_VARIABLE_269757 BOUND_VARIABLE_269758 BOUND_VARIABLE_269759))))) (let ((_let_18797 (forall ((BOUND_VARIABLE_269749 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269750 tptp.product_prod_int_int)) (= (@ tptp.collec213857154873943460nt_int BOUND_VARIABLE_269749) (ll_1173 BOUND_VARIABLE_269749 BOUND_VARIABLE_269750))))) (let ((_let_18798 (forall ((BOUND_VARIABLE_269738 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269739 (-> tptp.nat Bool)) (BOUND_VARIABLE_269740 tptp.product_prod_int_int) (BOUND_VARIABLE_269741 tptp.nat)) (= (and (@ BOUND_VARIABLE_269738 BOUND_VARIABLE_269740) (@ BOUND_VARIABLE_269739 BOUND_VARIABLE_269741)) (ll_1172 BOUND_VARIABLE_269738 BOUND_VARIABLE_269739 BOUND_VARIABLE_269740 BOUND_VARIABLE_269741))))) (let ((_let_18799 (forall ((BOUND_VARIABLE_269731 (-> tptp.nat Bool)) (BOUND_VARIABLE_269732 tptp.product_prod_int_int)) (= (@ tptp.collect_nat BOUND_VARIABLE_269731) (ll_1171 BOUND_VARIABLE_269731 BOUND_VARIABLE_269732))))) (let ((_let_18800 (forall ((BOUND_VARIABLE_269720 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269721 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269722 tptp.product_prod_int_int) (BOUND_VARIABLE_269723 tptp.product_prod_nat_nat)) (= (and (@ BOUND_VARIABLE_269720 BOUND_VARIABLE_269722) (@ BOUND_VARIABLE_269721 BOUND_VARIABLE_269723)) (ll_1170 BOUND_VARIABLE_269720 BOUND_VARIABLE_269721 BOUND_VARIABLE_269722 BOUND_VARIABLE_269723))))) (let ((_let_18801 (forall ((BOUND_VARIABLE_269713 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269714 tptp.product_prod_int_int)) (= (@ tptp.collec3392354462482085612at_nat BOUND_VARIABLE_269713) (ll_1169 BOUND_VARIABLE_269713 BOUND_VARIABLE_269714))))) (let ((_let_18802 (forall ((BOUND_VARIABLE_269702 (-> tptp.nat Bool)) (BOUND_VARIABLE_269703 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269704 tptp.nat) (BOUND_VARIABLE_269705 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_269702 BOUND_VARIABLE_269704) (@ BOUND_VARIABLE_269703 BOUND_VARIABLE_269705)) (ll_1168 BOUND_VARIABLE_269702 BOUND_VARIABLE_269703 BOUND_VARIABLE_269704 BOUND_VARIABLE_269705))))) (let ((_let_18803 (forall ((BOUND_VARIABLE_269695 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269696 tptp.nat)) (= (@ tptp.collec213857154873943460nt_int BOUND_VARIABLE_269695) (ll_1167 BOUND_VARIABLE_269695 BOUND_VARIABLE_269696))))) (let ((_let_18804 (forall ((BOUND_VARIABLE_269684 (-> tptp.nat Bool)) (BOUND_VARIABLE_269685 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269686 tptp.nat) (BOUND_VARIABLE_269687 tptp.product_prod_nat_nat)) (= (and (@ BOUND_VARIABLE_269684 BOUND_VARIABLE_269686) (@ BOUND_VARIABLE_269685 BOUND_VARIABLE_269687)) (ll_1166 BOUND_VARIABLE_269684 BOUND_VARIABLE_269685 BOUND_VARIABLE_269686 BOUND_VARIABLE_269687))))) (let ((_let_18805 (forall ((BOUND_VARIABLE_269677 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269678 tptp.nat)) (= (@ tptp.collec3392354462482085612at_nat BOUND_VARIABLE_269677) (ll_1165 BOUND_VARIABLE_269677 BOUND_VARIABLE_269678))))) (let ((_let_18806 (forall ((BOUND_VARIABLE_269666 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269667 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269668 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269669 tptp.product_prod_int_int)) (= (and (@ BOUND_VARIABLE_269666 BOUND_VARIABLE_269668) (@ BOUND_VARIABLE_269667 BOUND_VARIABLE_269669)) (ll_1164 BOUND_VARIABLE_269666 BOUND_VARIABLE_269667 BOUND_VARIABLE_269668 BOUND_VARIABLE_269669))))) (let ((_let_18807 (forall ((BOUND_VARIABLE_269659 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_269660 tptp.product_prod_nat_nat)) (= (@ tptp.collec213857154873943460nt_int BOUND_VARIABLE_269659) (ll_1163 BOUND_VARIABLE_269659 BOUND_VARIABLE_269660))))) (let ((_let_18808 (forall ((BOUND_VARIABLE_269648 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269649 (-> tptp.nat Bool)) (BOUND_VARIABLE_269650 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269651 tptp.nat)) (= (and (@ BOUND_VARIABLE_269648 BOUND_VARIABLE_269650) (@ BOUND_VARIABLE_269649 BOUND_VARIABLE_269651)) (ll_1162 BOUND_VARIABLE_269648 BOUND_VARIABLE_269649 BOUND_VARIABLE_269650 BOUND_VARIABLE_269651))))) (let ((_let_18809 (forall ((BOUND_VARIABLE_269641 (-> tptp.nat Bool)) (BOUND_VARIABLE_269642 tptp.product_prod_nat_nat)) (= (@ tptp.collect_nat BOUND_VARIABLE_269641) (ll_1161 BOUND_VARIABLE_269641 BOUND_VARIABLE_269642))))) (let ((_let_18810 (forall ((BOUND_VARIABLE_269630 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269631 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269632 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269633 tptp.product_prod_nat_nat)) (= (and (@ BOUND_VARIABLE_269630 BOUND_VARIABLE_269632) (@ BOUND_VARIABLE_269631 BOUND_VARIABLE_269633)) (ll_1160 BOUND_VARIABLE_269630 BOUND_VARIABLE_269631 BOUND_VARIABLE_269632 BOUND_VARIABLE_269633))))) (let ((_let_18811 (forall ((BOUND_VARIABLE_269623 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269624 tptp.product_prod_nat_nat)) (= (@ tptp.collec3392354462482085612at_nat BOUND_VARIABLE_269623) (ll_1159 BOUND_VARIABLE_269623 BOUND_VARIABLE_269624))))) (let ((_let_18812 (forall ((BOUND_VARIABLE_269608 (-> tptp.int tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_269609 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269610 tptp.product_prod_int_int)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ BOUND_VARIABLE_269608 (@ tptp.product_fst_int_int BOUND_VARIABLE_269610))) (@ BOUND_VARIABLE_269608 (@ tptp.product_snd_int_int BOUND_VARIABLE_269610)))) BOUND_VARIABLE_269609) (ll_1158 BOUND_VARIABLE_269608 BOUND_VARIABLE_269609 BOUND_VARIABLE_269610))))) (let ((_let_18813 (forall ((BOUND_VARIABLE_269594 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (BOUND_VARIABLE_269595 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_269596 tptp.nat) (BOUND_VARIABLE_269597 tptp.nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ BOUND_VARIABLE_269594 BOUND_VARIABLE_269596)) (@ BOUND_VARIABLE_269594 BOUND_VARIABLE_269597))) BOUND_VARIABLE_269595) (ll_1157 BOUND_VARIABLE_269594 BOUND_VARIABLE_269595 BOUND_VARIABLE_269596 BOUND_VARIABLE_269597))))) (let ((_let_18814 (forall ((BOUND_VARIABLE_269579 (-> tptp.int tptp.int)) (BOUND_VARIABLE_269580 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_269581 tptp.product_prod_int_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_269579 (@ tptp.product_fst_int_int BOUND_VARIABLE_269581))) (@ BOUND_VARIABLE_269579 (@ tptp.product_snd_int_int BOUND_VARIABLE_269581)))) BOUND_VARIABLE_269580) (ll_1156 BOUND_VARIABLE_269579 BOUND_VARIABLE_269580 BOUND_VARIABLE_269581))))) (let ((_let_18815 (forall ((BOUND_VARIABLE_269564 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_269565 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269566 tptp.product_prod_int_int)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ BOUND_VARIABLE_269564 (@ tptp.product_fst_int_int BOUND_VARIABLE_269566))) (@ BOUND_VARIABLE_269564 (@ tptp.product_snd_int_int BOUND_VARIABLE_269566)))) BOUND_VARIABLE_269565) (ll_1155 BOUND_VARIABLE_269564 BOUND_VARIABLE_269565 BOUND_VARIABLE_269566))))) (let ((_let_18816 (forall ((BOUND_VARIABLE_269550 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_269551 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_269552 tptp.nat) (BOUND_VARIABLE_269553 tptp.nat)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_269550 BOUND_VARIABLE_269552)) (@ BOUND_VARIABLE_269550 BOUND_VARIABLE_269553))) BOUND_VARIABLE_269551) (ll_1154 BOUND_VARIABLE_269550 BOUND_VARIABLE_269551 BOUND_VARIABLE_269552 BOUND_VARIABLE_269553))))) (let ((_let_18817 (forall ((BOUND_VARIABLE_269536 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_269537 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269538 tptp.nat) (BOUND_VARIABLE_269539 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ BOUND_VARIABLE_269536 BOUND_VARIABLE_269538)) (@ BOUND_VARIABLE_269536 BOUND_VARIABLE_269539))) BOUND_VARIABLE_269537) (ll_1153 BOUND_VARIABLE_269536 BOUND_VARIABLE_269537 BOUND_VARIABLE_269538 BOUND_VARIABLE_269539))))) (let ((_let_18818 (forall ((BOUND_VARIABLE_269499 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_269500 tptp.set_nat) (BOUND_VARIABLE_269501 tptp.product_prod_nat_nat)) (= (ll_1152 BOUND_VARIABLE_269499 BOUND_VARIABLE_269500 BOUND_VARIABLE_269501) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269501)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3352 BOUND_VARIABLE_269499)) BOUND_VARIABLE_269500))))))) (let ((_let_18819 (forall ((BOUND_VARIABLE_269462 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_269463 tptp.set_int) (BOUND_VARIABLE_269464 tptp.product_prod_int_int)) (= (ll_1151 BOUND_VARIABLE_269462 BOUND_VARIABLE_269463 BOUND_VARIABLE_269464) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_269464)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3351 BOUND_VARIABLE_269462)) BOUND_VARIABLE_269463))))))) (let ((_let_18820 (forall ((BOUND_VARIABLE_269433 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_269434 tptp.nat)) (= (ll_1150 BOUND_VARIABLE_269433 BOUND_VARIABLE_269434) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3350 BOUND_VARIABLE_269434)) (@ BOUND_VARIABLE_269433 BOUND_VARIABLE_269434))))))) (let ((_let_18821 (forall ((BOUND_VARIABLE_269395 (-> tptp.nat tptp.set_nat)) (BOUND_VARIABLE_269396 tptp.set_nat) (BOUND_VARIABLE_269397 tptp.product_prod_nat_nat)) (= (ll_1149 BOUND_VARIABLE_269395 BOUND_VARIABLE_269396 BOUND_VARIABLE_269397) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269397)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3349 BOUND_VARIABLE_269395)) BOUND_VARIABLE_269396))))))) (let ((_let_18822 (forall ((BOUND_VARIABLE_269357 (-> tptp.int tptp.set_int)) (BOUND_VARIABLE_269358 tptp.set_int) (BOUND_VARIABLE_269359 tptp.product_prod_int_int)) (= (ll_1148 BOUND_VARIABLE_269357 BOUND_VARIABLE_269358 BOUND_VARIABLE_269359) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_269359)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3348 BOUND_VARIABLE_269357)) BOUND_VARIABLE_269358))))))) (let ((_let_18823 (forall ((BOUND_VARIABLE_269327 (-> tptp.nat tptp.set_num)) (BOUND_VARIABLE_269328 tptp.nat)) (= (ll_1147 BOUND_VARIABLE_269327 BOUND_VARIABLE_269328) (@ tptp.comple1400524285282149784at_num (@ (@ tptp.image_4778453735051108682at_num (@ ll_3347 BOUND_VARIABLE_269328)) (@ BOUND_VARIABLE_269327 BOUND_VARIABLE_269328))))))) (let ((_let_18824 (forall ((BOUND_VARIABLE_269320 tptp.int) (BOUND_VARIABLE_269321 tptp.int)) (= (= BOUND_VARIABLE_269320 BOUND_VARIABLE_269321) (ll_1146 BOUND_VARIABLE_269320 BOUND_VARIABLE_269321))))) (let ((_let_18825 (forall ((BOUND_VARIABLE_269302 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_269303 (-> tptp.code_integer tptp.int Bool)) (BOUND_VARIABLE_269304 tptp.int) (BOUND_VARIABLE_269305 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_269302 BOUND_VARIABLE_269304) B4)) (not (@ (@ (@ tptp.conver1462408618118490240er_int BOUND_VARIABLE_269303) B4) BOUND_VARIABLE_269305))))) (ll_1145 BOUND_VARIABLE_269302 BOUND_VARIABLE_269303 BOUND_VARIABLE_269304 BOUND_VARIABLE_269305))))) (let ((_let_18826 (forall ((BOUND_VARIABLE_269295 tptp.code_integer) (BOUND_VARIABLE_269296 tptp.code_integer)) (= (= BOUND_VARIABLE_269295 BOUND_VARIABLE_269296) (ll_1144 BOUND_VARIABLE_269295 BOUND_VARIABLE_269296))))) (let ((_let_18827 (forall ((BOUND_VARIABLE_269288 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269289 tptp.product_prod_nat_nat)) (= (= BOUND_VARIABLE_269288 BOUND_VARIABLE_269289) (ll_1143 BOUND_VARIABLE_269288 BOUND_VARIABLE_269289))))) (let ((_let_18828 (forall ((BOUND_VARIABLE_269270 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269271 (-> tptp.int tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269272 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269273 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_269270 BOUND_VARIABLE_269272) B4)) (not (@ (@ (@ tptp.conver1866313717161370910at_nat BOUND_VARIABLE_269271) B4) BOUND_VARIABLE_269273))))) (ll_1142 BOUND_VARIABLE_269270 BOUND_VARIABLE_269271 BOUND_VARIABLE_269272 BOUND_VARIABLE_269273))))) (let ((_let_18829 (forall ((BOUND_VARIABLE_269263 tptp.int) (BOUND_VARIABLE_269264 tptp.int)) (= (= BOUND_VARIABLE_269263 BOUND_VARIABLE_269264) (ll_1141 BOUND_VARIABLE_269263 BOUND_VARIABLE_269264))))) (let ((_let_18830 (forall ((BOUND_VARIABLE_269256 tptp.int) (BOUND_VARIABLE_269257 tptp.int)) (= (= BOUND_VARIABLE_269256 BOUND_VARIABLE_269257) (ll_1140 BOUND_VARIABLE_269256 BOUND_VARIABLE_269257))))) (let ((_let_18831 (forall ((BOUND_VARIABLE_269249 tptp.code_integer) (BOUND_VARIABLE_269250 tptp.code_integer)) (= (= BOUND_VARIABLE_269249 BOUND_VARIABLE_269250) (ll_1139 BOUND_VARIABLE_269249 BOUND_VARIABLE_269250))))) (let ((_let_18832 (forall ((BOUND_VARIABLE_269231 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_269232 (-> tptp.code_integer tptp.int Bool)) (BOUND_VARIABLE_269233 tptp.int) (BOUND_VARIABLE_269234 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_269231 BOUND_VARIABLE_269233) B4)) (not (@ (@ (@ tptp.conver1462408618118490240er_int BOUND_VARIABLE_269232) B4) BOUND_VARIABLE_269234))))) (ll_1138 BOUND_VARIABLE_269231 BOUND_VARIABLE_269232 BOUND_VARIABLE_269233 BOUND_VARIABLE_269234))))) (let ((_let_18833 (forall ((BOUND_VARIABLE_269224 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269225 tptp.product_prod_nat_nat)) (= (= BOUND_VARIABLE_269224 BOUND_VARIABLE_269225) (ll_1137 BOUND_VARIABLE_269224 BOUND_VARIABLE_269225))))) (let ((_let_18834 (forall ((BOUND_VARIABLE_269217 tptp.int) (BOUND_VARIABLE_269218 tptp.int)) (= (= BOUND_VARIABLE_269217 BOUND_VARIABLE_269218) (ll_1136 BOUND_VARIABLE_269217 BOUND_VARIABLE_269218))))) (let ((_let_18835 (forall ((BOUND_VARIABLE_269199 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269200 (-> tptp.int tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_269201 tptp.product_prod_nat_nat) (BOUND_VARIABLE_269202 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_269199 BOUND_VARIABLE_269201) B4)) (not (@ (@ (@ tptp.conver1866313717161370910at_nat BOUND_VARIABLE_269200) B4) BOUND_VARIABLE_269202))))) (ll_1135 BOUND_VARIABLE_269199 BOUND_VARIABLE_269200 BOUND_VARIABLE_269201 BOUND_VARIABLE_269202))))) (let ((_let_18836 (forall ((BOUND_VARIABLE_269189 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_269190 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_269189 (@ tptp.product_fst_int_int BOUND_VARIABLE_269190)) (@ tptp.product_snd_int_int BOUND_VARIABLE_269190)) (ll_1134 BOUND_VARIABLE_269189 BOUND_VARIABLE_269190))))) (let ((_let_18837 (forall ((BOUND_VARIABLE_269179 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_269180 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_269179 (@ tptp.product_fst_int_int BOUND_VARIABLE_269180)) (@ tptp.product_snd_int_int BOUND_VARIABLE_269180)) (ll_1133 BOUND_VARIABLE_269179 BOUND_VARIABLE_269180))))) (let ((_let_18838 (forall ((BOUND_VARIABLE_269163 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (BOUND_VARIABLE_269164 tptp.produc7812382424243267045t_unit)) (= (ll_1132 BOUND_VARIABLE_269163 BOUND_VARIABLE_269164) (@ (@ BOUND_VARIABLE_269163 (@ (@ tptp.produc4846201513286513633_ref_a ll_3) BOUND_VARIABLE_269164)) (@ (@ tptp.produc2552614499379209865t_unit ll_2) BOUND_VARIABLE_269164)))))) (let ((_let_18839 (forall ((BOUND_VARIABLE_269153 tptp.set_Pr1133966238863718811t_unit) (BOUND_VARIABLE_269154 tptp.ref_a)) (= (ll_1131 BOUND_VARIABLE_269153 BOUND_VARIABLE_269154) (@ (@ tptp.image_17660834435998945t_unit (@ tptp.produc2552614499379209865t_unit ll_2)) BOUND_VARIABLE_269153))))) (let ((_let_18840 (forall ((BOUND_VARIABLE_269114 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_269115 tptp.product_prod_nat_nat)) (= (ll_1130 BOUND_VARIABLE_269114 BOUND_VARIABLE_269115) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269115)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3346 BOUND_VARIABLE_269114)) (@ (@ tptp.image_2486076414777270412at_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14))) BOUND_VARIABLE_269114)))))))) (let ((_let_18841 (forall ((BOUND_VARIABLE_269078 tptp.set_nat) (BOUND_VARIABLE_269079 tptp.set_nat) (BOUND_VARIABLE_269080 tptp.product_prod_nat_nat)) (= (ll_1129 BOUND_VARIABLE_269078 BOUND_VARIABLE_269079 BOUND_VARIABLE_269080) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_7457375456213313148_nat_o (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_269080)) (@ (@ tptp.image_7178329752028323786at_nat (@ ll_3345 BOUND_VARIABLE_269078)) BOUND_VARIABLE_269079))))))) (let ((_let_18842 (forall ((BOUND_VARIABLE_269043 tptp.set_int) (BOUND_VARIABLE_269044 tptp.set_int) (BOUND_VARIABLE_269045 tptp.product_prod_int_int)) (= (ll_1128 BOUND_VARIABLE_269043 BOUND_VARIABLE_269044 BOUND_VARIABLE_269045) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_269045)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3344 BOUND_VARIABLE_269043)) BOUND_VARIABLE_269044))))))) (let ((_let_18843 (forall ((BOUND_VARIABLE_269037 tptp.set_nat) (BOUND_VARIABLE_269038 tptp.int)) (= BOUND_VARIABLE_269037 (ll_1127 BOUND_VARIABLE_269037 BOUND_VARIABLE_269038))))) (let ((_let_18844 (forall ((BOUND_VARIABLE_269031 tptp.set_int) (BOUND_VARIABLE_269032 tptp.nat)) (= BOUND_VARIABLE_269031 (ll_1126 BOUND_VARIABLE_269031 BOUND_VARIABLE_269032))))) (let ((_let_18845 (forall ((BOUND_VARIABLE_269025 tptp.set_rat) (BOUND_VARIABLE_269026 tptp.nat)) (= BOUND_VARIABLE_269025 (ll_1125 BOUND_VARIABLE_269025 BOUND_VARIABLE_269026))))) (let ((_let_18846 (forall ((BOUND_VARIABLE_269016 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_269017 tptp.set_int) (BOUND_VARIABLE_269018 tptp.int)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_269016) BOUND_VARIABLE_269017) (ll_1124 BOUND_VARIABLE_269016 BOUND_VARIABLE_269017 BOUND_VARIABLE_269018))))) (let ((_let_18847 (forall ((BOUND_VARIABLE_269004 (-> tptp.int tptp.int)) (BOUND_VARIABLE_269005 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_269006 tptp.int) (BOUND_VARIABLE_269007 tptp.int)) (= (@ (@ tptp.product_Pair_int_nat (@ BOUND_VARIABLE_269004 BOUND_VARIABLE_269006)) (@ BOUND_VARIABLE_269005 BOUND_VARIABLE_269007)) (ll_1123 BOUND_VARIABLE_269004 BOUND_VARIABLE_269005 BOUND_VARIABLE_269006 BOUND_VARIABLE_269007))))) (let ((_let_18848 (forall ((BOUND_VARIABLE_268969 tptp.set_int) (BOUND_VARIABLE_268970 tptp.set_int) (BOUND_VARIABLE_268971 tptp.product_prod_int_int)) (= (ll_1122 BOUND_VARIABLE_268969 BOUND_VARIABLE_268970 BOUND_VARIABLE_268971) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_268971)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3343 BOUND_VARIABLE_268969)) BOUND_VARIABLE_268970))))))) (let ((_let_18849 (forall ((BOUND_VARIABLE_268957 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268958 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268959 tptp.int) (BOUND_VARIABLE_268960 tptp.nat)) (= (@ (@ tptp.product_Pair_int_nat (@ BOUND_VARIABLE_268957 BOUND_VARIABLE_268959)) (@ BOUND_VARIABLE_268958 BOUND_VARIABLE_268960)) (ll_1121 BOUND_VARIABLE_268957 BOUND_VARIABLE_268958 BOUND_VARIABLE_268959 BOUND_VARIABLE_268960))))) (let ((_let_18850 (forall ((BOUND_VARIABLE_268951 tptp.set_nat) (BOUND_VARIABLE_268952 tptp.int)) (= BOUND_VARIABLE_268951 (ll_1120 BOUND_VARIABLE_268951 BOUND_VARIABLE_268952))))) (let ((_let_18851 (forall ((BOUND_VARIABLE_268942 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268943 tptp.set_nat) (BOUND_VARIABLE_268944 tptp.int)) (= (@ (@ tptp.image_nat_nat BOUND_VARIABLE_268942) BOUND_VARIABLE_268943) (ll_1119 BOUND_VARIABLE_268942 BOUND_VARIABLE_268943 BOUND_VARIABLE_268944))))) (let ((_let_18852 (forall ((BOUND_VARIABLE_268930 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268931 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_268932 tptp.int) (BOUND_VARIABLE_268933 tptp.nat)) (= (@ (@ tptp.product_Pair_int_rat (@ BOUND_VARIABLE_268930 BOUND_VARIABLE_268932)) (@ BOUND_VARIABLE_268931 BOUND_VARIABLE_268933)) (ll_1118 BOUND_VARIABLE_268930 BOUND_VARIABLE_268931 BOUND_VARIABLE_268932 BOUND_VARIABLE_268933))))) (let ((_let_18853 (forall ((BOUND_VARIABLE_268924 tptp.set_nat) (BOUND_VARIABLE_268925 tptp.int)) (= BOUND_VARIABLE_268924 (ll_1117 BOUND_VARIABLE_268924 BOUND_VARIABLE_268925))))) (let ((_let_18854 (forall ((BOUND_VARIABLE_268915 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_268916 tptp.set_nat) (BOUND_VARIABLE_268917 tptp.int)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_268915) BOUND_VARIABLE_268916) (ll_1116 BOUND_VARIABLE_268915 BOUND_VARIABLE_268916 BOUND_VARIABLE_268917))))) (let ((_let_18855 (forall ((BOUND_VARIABLE_268906 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268907 tptp.set_int) (BOUND_VARIABLE_268908 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_268906) BOUND_VARIABLE_268907) (ll_1115 BOUND_VARIABLE_268906 BOUND_VARIABLE_268907 BOUND_VARIABLE_268908))))) (let ((_let_18856 (forall ((BOUND_VARIABLE_268894 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268895 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268896 tptp.int) (BOUND_VARIABLE_268897 tptp.int)) (= (@ (@ tptp.product_Pair_nat_int (@ BOUND_VARIABLE_268894 BOUND_VARIABLE_268896)) (@ BOUND_VARIABLE_268895 BOUND_VARIABLE_268897)) (ll_1114 BOUND_VARIABLE_268894 BOUND_VARIABLE_268895 BOUND_VARIABLE_268896 BOUND_VARIABLE_268897))))) (let ((_let_18857 (forall ((BOUND_VARIABLE_268858 tptp.set_int) (BOUND_VARIABLE_268859 tptp.set_int) (BOUND_VARIABLE_268860 tptp.product_prod_int_int)) (= (ll_1113 BOUND_VARIABLE_268858 BOUND_VARIABLE_268859 BOUND_VARIABLE_268860) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_268860)) (@ (@ tptp.image_8635204845542730022nt_int (@ ll_3342 BOUND_VARIABLE_268858)) BOUND_VARIABLE_268859))))))) (let ((_let_18858 (forall ((BOUND_VARIABLE_268846 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268847 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_268848 tptp.int) (BOUND_VARIABLE_268849 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_int (@ BOUND_VARIABLE_268846 BOUND_VARIABLE_268848)) (@ BOUND_VARIABLE_268847 BOUND_VARIABLE_268849)) (ll_1112 BOUND_VARIABLE_268846 BOUND_VARIABLE_268847 BOUND_VARIABLE_268848 BOUND_VARIABLE_268849))))) (let ((_let_18859 (forall ((BOUND_VARIABLE_268840 tptp.set_nat) (BOUND_VARIABLE_268841 tptp.int)) (= BOUND_VARIABLE_268840 (ll_1111 BOUND_VARIABLE_268840 BOUND_VARIABLE_268841))))) (let ((_let_18860 (forall ((BOUND_VARIABLE_268831 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_268832 tptp.set_nat) (BOUND_VARIABLE_268833 tptp.nat)) (= (@ (@ tptp.image_nat_int BOUND_VARIABLE_268831) BOUND_VARIABLE_268832) (ll_1110 BOUND_VARIABLE_268831 BOUND_VARIABLE_268832 BOUND_VARIABLE_268833))))) (let ((_let_18861 (forall ((BOUND_VARIABLE_268819 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268820 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_268821 tptp.int) (BOUND_VARIABLE_268822 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_rat (@ BOUND_VARIABLE_268819 BOUND_VARIABLE_268821)) (@ BOUND_VARIABLE_268820 BOUND_VARIABLE_268822)) (ll_1109 BOUND_VARIABLE_268819 BOUND_VARIABLE_268820 BOUND_VARIABLE_268821 BOUND_VARIABLE_268822))))) (let ((_let_18862 (forall ((BOUND_VARIABLE_268813 tptp.set_nat) (BOUND_VARIABLE_268814 tptp.int)) (= BOUND_VARIABLE_268813 (ll_1108 BOUND_VARIABLE_268813 BOUND_VARIABLE_268814))))) (let ((_let_18863 (forall ((BOUND_VARIABLE_268804 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_268805 tptp.set_nat) (BOUND_VARIABLE_268806 tptp.nat)) (= (@ (@ tptp.image_nat_rat BOUND_VARIABLE_268804) BOUND_VARIABLE_268805) (ll_1107 BOUND_VARIABLE_268804 BOUND_VARIABLE_268805 BOUND_VARIABLE_268806))))) (let ((_let_18864 (forall ((BOUND_VARIABLE_268792 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_268793 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268794 tptp.nat) (BOUND_VARIABLE_268795 tptp.int)) (= (@ (@ tptp.product_Pair_int_nat (@ BOUND_VARIABLE_268792 BOUND_VARIABLE_268794)) (@ BOUND_VARIABLE_268793 BOUND_VARIABLE_268795)) (ll_1106 BOUND_VARIABLE_268792 BOUND_VARIABLE_268793 BOUND_VARIABLE_268794 BOUND_VARIABLE_268795))))) (let ((_let_18865 (forall ((BOUND_VARIABLE_268786 tptp.set_int) (BOUND_VARIABLE_268787 tptp.nat)) (= BOUND_VARIABLE_268786 (ll_1105 BOUND_VARIABLE_268786 BOUND_VARIABLE_268787))))) (let ((_let_18866 (forall ((BOUND_VARIABLE_268777 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268778 tptp.set_int) (BOUND_VARIABLE_268779 tptp.int)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_268777) BOUND_VARIABLE_268778) (ll_1104 BOUND_VARIABLE_268777 BOUND_VARIABLE_268778 BOUND_VARIABLE_268779))))) (let ((_let_18867 (forall ((BOUND_VARIABLE_268765 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268766 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268767 tptp.nat) (BOUND_VARIABLE_268768 tptp.int)) (= (@ (@ tptp.product_Pair_nat_int (@ BOUND_VARIABLE_268765 BOUND_VARIABLE_268767)) (@ BOUND_VARIABLE_268766 BOUND_VARIABLE_268768)) (ll_1103 BOUND_VARIABLE_268765 BOUND_VARIABLE_268766 BOUND_VARIABLE_268767 BOUND_VARIABLE_268768))))) (let ((_let_18868 (forall ((BOUND_VARIABLE_268759 tptp.set_int) (BOUND_VARIABLE_268760 tptp.nat)) (= BOUND_VARIABLE_268759 (ll_1102 BOUND_VARIABLE_268759 BOUND_VARIABLE_268760))))) (let ((_let_18869 (forall ((BOUND_VARIABLE_268750 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268751 tptp.set_int) (BOUND_VARIABLE_268752 tptp.nat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_268750) BOUND_VARIABLE_268751) (ll_1101 BOUND_VARIABLE_268750 BOUND_VARIABLE_268751 BOUND_VARIABLE_268752))))) (let ((_let_18870 (forall ((BOUND_VARIABLE_268738 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_268739 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268740 tptp.nat) (BOUND_VARIABLE_268741 tptp.int)) (= (@ (@ tptp.product_Pair_rat_int (@ BOUND_VARIABLE_268738 BOUND_VARIABLE_268740)) (@ BOUND_VARIABLE_268739 BOUND_VARIABLE_268741)) (ll_1100 BOUND_VARIABLE_268738 BOUND_VARIABLE_268739 BOUND_VARIABLE_268740 BOUND_VARIABLE_268741))))) (let ((_let_18871 (forall ((BOUND_VARIABLE_268732 tptp.set_int) (BOUND_VARIABLE_268733 tptp.nat)) (= BOUND_VARIABLE_268732 (ll_1099 BOUND_VARIABLE_268732 BOUND_VARIABLE_268733))))) (let ((_let_18872 (forall ((BOUND_VARIABLE_268723 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268724 tptp.set_int) (BOUND_VARIABLE_268725 tptp.rat)) (= (@ (@ tptp.image_int_int BOUND_VARIABLE_268723) BOUND_VARIABLE_268724) (ll_1098 BOUND_VARIABLE_268723 BOUND_VARIABLE_268724 BOUND_VARIABLE_268725))))) (let ((_let_18873 (forall ((BOUND_VARIABLE_268711 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_268712 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268713 tptp.nat) (BOUND_VARIABLE_268714 tptp.int)) (= (@ (@ tptp.product_Pair_rat_nat (@ BOUND_VARIABLE_268711 BOUND_VARIABLE_268713)) (@ BOUND_VARIABLE_268712 BOUND_VARIABLE_268714)) (ll_1097 BOUND_VARIABLE_268711 BOUND_VARIABLE_268712 BOUND_VARIABLE_268713 BOUND_VARIABLE_268714))))) (let ((_let_18874 (forall ((BOUND_VARIABLE_268705 tptp.set_int) (BOUND_VARIABLE_268706 tptp.nat)) (= BOUND_VARIABLE_268705 (ll_1096 BOUND_VARIABLE_268705 BOUND_VARIABLE_268706))))) (let ((_let_18875 (forall ((BOUND_VARIABLE_268696 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268697 tptp.set_int) (BOUND_VARIABLE_268698 tptp.rat)) (= (@ (@ tptp.image_int_nat BOUND_VARIABLE_268696) BOUND_VARIABLE_268697) (ll_1095 BOUND_VARIABLE_268696 BOUND_VARIABLE_268697 BOUND_VARIABLE_268698))))) (let ((_let_18876 (forall ((BOUND_VARIABLE_268688 (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_268689 tptp.code_integer) (BOUND_VARIABLE_268690 tptp.produc8923325533196201883nteger)) (= (@ BOUND_VARIABLE_268688 BOUND_VARIABLE_268690) (ll_1094 BOUND_VARIABLE_268688 BOUND_VARIABLE_268689 BOUND_VARIABLE_268690))))) (let ((_let_18877 (forall ((BOUND_VARIABLE_268680 (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_268681 tptp.code_integer) (BOUND_VARIABLE_268682 tptp.produc8923325533196201883nteger)) (= (@ BOUND_VARIABLE_268680 BOUND_VARIABLE_268682) (ll_1093 BOUND_VARIABLE_268680 BOUND_VARIABLE_268681 BOUND_VARIABLE_268682))))) (let ((_let_18878 (forall ((BOUND_VARIABLE_268674 tptp.nat) (BOUND_VARIABLE_268675 tptp.int)) (= BOUND_VARIABLE_268674 (ll_1092 BOUND_VARIABLE_268674 BOUND_VARIABLE_268675))))) (let ((_let_18879 (forall ((BOUND_VARIABLE_268668 tptp.nat) (BOUND_VARIABLE_268669 tptp.int)) (= BOUND_VARIABLE_268668 (ll_1091 BOUND_VARIABLE_268668 BOUND_VARIABLE_268669))))) (let ((_let_18880 (forall ((BOUND_VARIABLE_268662 tptp.nat) (BOUND_VARIABLE_268663 tptp.nat)) (= BOUND_VARIABLE_268662 (ll_1090 BOUND_VARIABLE_268662 BOUND_VARIABLE_268663))))) (let ((_let_18881 (forall ((BOUND_VARIABLE_268656 tptp.nat) (BOUND_VARIABLE_268657 tptp.nat)) (= BOUND_VARIABLE_268656 (ll_1089 BOUND_VARIABLE_268656 BOUND_VARIABLE_268657))))) (let ((_let_18882 (forall ((BOUND_VARIABLE_268650 tptp.num) (BOUND_VARIABLE_268651 tptp.int)) (= BOUND_VARIABLE_268650 (ll_1088 BOUND_VARIABLE_268650 BOUND_VARIABLE_268651))))) (let ((_let_18883 (forall ((BOUND_VARIABLE_268644 tptp.num) (BOUND_VARIABLE_268645 tptp.int)) (= BOUND_VARIABLE_268644 (ll_1087 BOUND_VARIABLE_268644 BOUND_VARIABLE_268645))))) (let ((_let_18884 (forall ((BOUND_VARIABLE_268638 Bool) (BOUND_VARIABLE_268639 tptp.nat)) (= BOUND_VARIABLE_268638 (ll_1086 BOUND_VARIABLE_268638 BOUND_VARIABLE_268639))))) (let ((_let_18885 (forall ((BOUND_VARIABLE_268632 Bool) (BOUND_VARIABLE_268633 tptp.nat)) (= BOUND_VARIABLE_268632 (ll_1085 BOUND_VARIABLE_268632 BOUND_VARIABLE_268633))))) (let ((_let_18886 (forall ((BOUND_VARIABLE_268620 (-> tptp.char tptp.num)) (BOUND_VARIABLE_268621 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_268622 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268623 tptp.int)) (= (@ (@ (@ tptp.comp_char_num_nat BOUND_VARIABLE_268620) BOUND_VARIABLE_268621) (@ BOUND_VARIABLE_268622 BOUND_VARIABLE_268623)) (ll_1084 BOUND_VARIABLE_268620 BOUND_VARIABLE_268621 BOUND_VARIABLE_268622 BOUND_VARIABLE_268623))))) (let ((_let_18887 (forall ((BOUND_VARIABLE_268608 (-> tptp.char Bool)) (BOUND_VARIABLE_268609 (-> Bool tptp.char)) (BOUND_VARIABLE_268610 (-> tptp.nat Bool)) (BOUND_VARIABLE_268611 tptp.nat)) (= (@ (@ (@ tptp.comp_char_o_o BOUND_VARIABLE_268608) BOUND_VARIABLE_268609) (@ BOUND_VARIABLE_268610 BOUND_VARIABLE_268611)) (ll_1083 BOUND_VARIABLE_268608 BOUND_VARIABLE_268609 BOUND_VARIABLE_268610 BOUND_VARIABLE_268611))))) (let ((_let_18888 (forall ((BOUND_VARIABLE_268596 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_268597 (-> tptp.int tptp.char)) (BOUND_VARIABLE_268598 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268599 tptp.int)) (= (@ (@ (@ tptp.comp_char_nat_int BOUND_VARIABLE_268596) BOUND_VARIABLE_268597) (@ BOUND_VARIABLE_268598 BOUND_VARIABLE_268599)) (ll_1082 BOUND_VARIABLE_268596 BOUND_VARIABLE_268597 BOUND_VARIABLE_268598 BOUND_VARIABLE_268599))))) (let ((_let_18889 (forall ((BOUND_VARIABLE_268584 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_268585 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_268586 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268587 tptp.nat)) (= (@ (@ (@ tptp.comp_char_nat_nat BOUND_VARIABLE_268584) BOUND_VARIABLE_268585) (@ BOUND_VARIABLE_268586 BOUND_VARIABLE_268587)) (ll_1081 BOUND_VARIABLE_268584 BOUND_VARIABLE_268585 BOUND_VARIABLE_268586 BOUND_VARIABLE_268587))))) (let ((_let_18890 (forall ((BOUND_VARIABLE_268572 (-> tptp.char tptp.num)) (BOUND_VARIABLE_268573 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_268574 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268575 tptp.int)) (= (@ (@ (@ tptp.comp_char_num_nat BOUND_VARIABLE_268572) BOUND_VARIABLE_268573) (@ BOUND_VARIABLE_268574 BOUND_VARIABLE_268575)) (ll_1080 BOUND_VARIABLE_268572 BOUND_VARIABLE_268573 BOUND_VARIABLE_268574 BOUND_VARIABLE_268575))))) (let ((_let_18891 (forall ((BOUND_VARIABLE_268560 (-> tptp.char Bool)) (BOUND_VARIABLE_268561 (-> Bool tptp.char)) (BOUND_VARIABLE_268562 (-> tptp.nat Bool)) (BOUND_VARIABLE_268563 tptp.nat)) (= (@ (@ (@ tptp.comp_char_o_o BOUND_VARIABLE_268560) BOUND_VARIABLE_268561) (@ BOUND_VARIABLE_268562 BOUND_VARIABLE_268563)) (ll_1079 BOUND_VARIABLE_268560 BOUND_VARIABLE_268561 BOUND_VARIABLE_268562 BOUND_VARIABLE_268563))))) (let ((_let_18892 (forall ((BOUND_VARIABLE_268548 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_268549 (-> tptp.int tptp.char)) (BOUND_VARIABLE_268550 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268551 tptp.int)) (= (@ (@ (@ tptp.comp_char_nat_int BOUND_VARIABLE_268548) BOUND_VARIABLE_268549) (@ BOUND_VARIABLE_268550 BOUND_VARIABLE_268551)) (ll_1078 BOUND_VARIABLE_268548 BOUND_VARIABLE_268549 BOUND_VARIABLE_268550 BOUND_VARIABLE_268551))))) (let ((_let_18893 (forall ((BOUND_VARIABLE_268536 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_268537 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_268538 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268539 tptp.nat)) (= (@ (@ (@ tptp.comp_char_nat_nat BOUND_VARIABLE_268536) BOUND_VARIABLE_268537) (@ BOUND_VARIABLE_268538 BOUND_VARIABLE_268539)) (ll_1077 BOUND_VARIABLE_268536 BOUND_VARIABLE_268537 BOUND_VARIABLE_268538 BOUND_VARIABLE_268539))))) (let ((_let_18894 (forall ((BOUND_VARIABLE_268524 (-> tptp.char tptp.num)) (BOUND_VARIABLE_268525 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_268526 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268527 tptp.int)) (= (@ (@ (@ tptp.comp_char_num_nat BOUND_VARIABLE_268524) BOUND_VARIABLE_268525) (@ BOUND_VARIABLE_268526 BOUND_VARIABLE_268527)) (ll_1076 BOUND_VARIABLE_268524 BOUND_VARIABLE_268525 BOUND_VARIABLE_268526 BOUND_VARIABLE_268527))))) (let ((_let_18895 (forall ((BOUND_VARIABLE_268512 (-> tptp.char Bool)) (BOUND_VARIABLE_268513 (-> Bool tptp.char)) (BOUND_VARIABLE_268514 (-> tptp.nat Bool)) (BOUND_VARIABLE_268515 tptp.nat)) (= (@ (@ (@ tptp.comp_char_o_o BOUND_VARIABLE_268512) BOUND_VARIABLE_268513) (@ BOUND_VARIABLE_268514 BOUND_VARIABLE_268515)) (ll_1075 BOUND_VARIABLE_268512 BOUND_VARIABLE_268513 BOUND_VARIABLE_268514 BOUND_VARIABLE_268515))))) (let ((_let_18896 (forall ((BOUND_VARIABLE_268502 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268503 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_268502 (@ tptp.product_fst_int_int BOUND_VARIABLE_268503)) (@ tptp.product_snd_int_int BOUND_VARIABLE_268503)) (ll_1074 BOUND_VARIABLE_268502 BOUND_VARIABLE_268503))))) (let ((_let_18897 (forall ((BOUND_VARIABLE_268492 tptp.set_num) (BOUND_VARIABLE_268493 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_less_eq_set_num (@ (@ tptp.image_int_num BOUND_VARIABLE_268493) tptp.top_top_set_int)) BOUND_VARIABLE_268492) (ll_1073 BOUND_VARIABLE_268492 BOUND_VARIABLE_268493))))) (let ((_let_18898 (forall ((BOUND_VARIABLE_268473 tptp.set_num) (BOUND_VARIABLE_268474 (-> tptp.num tptp.num)) (BOUND_VARIABLE_268475 (-> tptp.int tptp.num)) (BOUND_VARIABLE_268476 (-> tptp.int tptp.num))) (= (ll_1072 BOUND_VARIABLE_268473 BOUND_VARIABLE_268474 BOUND_VARIABLE_268475 BOUND_VARIABLE_268476) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3341) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_268475) BOUND_VARIABLE_268476) (@ (@ tptp.bNF_Grp_num_num BOUND_VARIABLE_268473) BOUND_VARIABLE_268474))))))) (let ((_let_18899 (forall ((BOUND_VARIABLE_268466 tptp.int) (BOUND_VARIABLE_268467 tptp.int)) (= (= BOUND_VARIABLE_268466 BOUND_VARIABLE_268467) (ll_1071 BOUND_VARIABLE_268466 BOUND_VARIABLE_268467))))) (let ((_let_18900 (forall ((BOUND_VARIABLE_268456 tptp.set_int) (BOUND_VARIABLE_268457 (-> tptp.int tptp.int))) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int BOUND_VARIABLE_268457) tptp.top_top_set_int)) BOUND_VARIABLE_268456) (ll_1070 BOUND_VARIABLE_268456 BOUND_VARIABLE_268457))))) (let ((_let_18901 (forall ((BOUND_VARIABLE_268447 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268448 (-> tptp.int tptp.int)) (BOUND_VARIABLE_268449 tptp.int)) (= (@ BOUND_VARIABLE_268447 (@ BOUND_VARIABLE_268448 BOUND_VARIABLE_268449)) (ll_1069 BOUND_VARIABLE_268447 BOUND_VARIABLE_268448 BOUND_VARIABLE_268449))))) (let ((_let_18902 (forall ((BOUND_VARIABLE_268440 tptp.int) (BOUND_VARIABLE_268441 tptp.int)) (= (= BOUND_VARIABLE_268440 BOUND_VARIABLE_268441) (ll_1068 BOUND_VARIABLE_268440 BOUND_VARIABLE_268441))))) (let ((_let_18903 (forall ((BOUND_VARIABLE_268430 tptp.set_nat) (BOUND_VARIABLE_268431 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat BOUND_VARIABLE_268431) tptp.top_top_set_int)) BOUND_VARIABLE_268430) (ll_1067 BOUND_VARIABLE_268430 BOUND_VARIABLE_268431))))) (let ((_let_18904 (forall ((BOUND_VARIABLE_268421 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_268422 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_268423 tptp.int)) (= (@ BOUND_VARIABLE_268421 (@ BOUND_VARIABLE_268422 BOUND_VARIABLE_268423)) (ll_1066 BOUND_VARIABLE_268421 BOUND_VARIABLE_268422 BOUND_VARIABLE_268423))))) (let ((_let_18905 (forall ((BOUND_VARIABLE_268414 tptp.nat) (BOUND_VARIABLE_268415 tptp.nat)) (= (= BOUND_VARIABLE_268414 BOUND_VARIABLE_268415) (ll_1065 BOUND_VARIABLE_268414 BOUND_VARIABLE_268415))))) (let ((_let_18906 (forall ((BOUND_VARIABLE_268404 tptp.set_nat) (BOUND_VARIABLE_268405 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat BOUND_VARIABLE_268405) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) BOUND_VARIABLE_268404) (ll_1064 BOUND_VARIABLE_268404 BOUND_VARIABLE_268405))))) (let ((_let_18907 (forall ((BOUND_VARIABLE_268395 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268396 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_268397 tptp.nat)) (= (@ BOUND_VARIABLE_268395 (@ BOUND_VARIABLE_268396 BOUND_VARIABLE_268397)) (ll_1063 BOUND_VARIABLE_268395 BOUND_VARIABLE_268396 BOUND_VARIABLE_268397))))) (let ((_let_18908 (forall ((BOUND_VARIABLE_268388 tptp.nat) (BOUND_VARIABLE_268389 tptp.nat)) (= (= BOUND_VARIABLE_268388 BOUND_VARIABLE_268389) (ll_1062 BOUND_VARIABLE_268388 BOUND_VARIABLE_268389))))) (let ((_let_18909 (forall ((BOUND_VARIABLE_268378 tptp.set_o) (BOUND_VARIABLE_268379 (-> tptp.nat Bool))) (= (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o BOUND_VARIABLE_268379) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) BOUND_VARIABLE_268378) (ll_1061 BOUND_VARIABLE_268378 BOUND_VARIABLE_268379))))) (let ((_let_18910 (forall ((BOUND_VARIABLE_268369 (-> Bool Bool)) (BOUND_VARIABLE_268370 (-> tptp.nat Bool)) (BOUND_VARIABLE_268371 tptp.nat)) (= (@ BOUND_VARIABLE_268369 (@ BOUND_VARIABLE_268370 BOUND_VARIABLE_268371)) (ll_1060 BOUND_VARIABLE_268369 BOUND_VARIABLE_268370 BOUND_VARIABLE_268371))))) (let ((_let_18911 (forall ((BOUND_VARIABLE_268362 tptp.code_integer) (BOUND_VARIABLE_268363 tptp.code_integer)) (= (= BOUND_VARIABLE_268362 BOUND_VARIABLE_268363) (ll_1059 BOUND_VARIABLE_268362 BOUND_VARIABLE_268363))))) (let ((_let_18912 (forall ((BOUND_VARIABLE_268352 tptp.set_Co726186806682698383nteger) (BOUND_VARIABLE_268353 (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger BOUND_VARIABLE_268353) tptp.top_to4645266643341252675nteger)) BOUND_VARIABLE_268352) (ll_1058 BOUND_VARIABLE_268352 BOUND_VARIABLE_268353))))) (let ((_let_18913 (forall ((BOUND_VARIABLE_268341 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_268342 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_268343 tptp.code_integer) (BOUND_VARIABLE_268344 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_268341 (@ BOUND_VARIABLE_268342 BOUND_VARIABLE_268343)) BOUND_VARIABLE_268344) (ll_1057 BOUND_VARIABLE_268341 BOUND_VARIABLE_268342 BOUND_VARIABLE_268343 BOUND_VARIABLE_268344))))) (let ((_let_18914 (forall ((BOUND_VARIABLE_268334 tptp.ref_a)) (= (@ (@ tptp.produc1340070678782110931_ref_a BOUND_VARIABLE_268334) BOUND_VARIABLE_268334) (ll_1056 BOUND_VARIABLE_268334))))) (let ((_let_18915 (forall ((BOUND_VARIABLE_268327 tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.produc8256076736985659095t_unit BOUND_VARIABLE_268327) BOUND_VARIABLE_268327) (ll_1055 BOUND_VARIABLE_268327))))) (let ((_let_18916 (forall ((BOUND_VARIABLE_268320 tptp.list_nat) (BOUND_VARIABLE_268321 tptp.list_nat)) (= (= BOUND_VARIABLE_268320 BOUND_VARIABLE_268321) (ll_1054 BOUND_VARIABLE_268320 BOUND_VARIABLE_268321))))) (let ((_let_18917 (forall ((BOUND_VARIABLE_268308 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_268309 (-> tptp.list_nat tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat BOUND_VARIABLE_268309) (@ (@ tptp.image_nat_list_nat tptp.nat_list_decode) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_268308))) (ll_1053 BOUND_VARIABLE_268308 BOUND_VARIABLE_268309))))) (let ((_let_18918 (forall ((BOUND_VARIABLE_268296 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_268297 (-> tptp.list_nat tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat BOUND_VARIABLE_268297) (@ (@ tptp.image_nat_list_nat tptp.nat_list_decode) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_268296))) (ll_1052 BOUND_VARIABLE_268296 BOUND_VARIABLE_268297))))) (let ((_let_18919 (forall ((BOUND_VARIABLE_268289 tptp.int) (BOUND_VARIABLE_268290 tptp.int)) (= (= BOUND_VARIABLE_268289 BOUND_VARIABLE_268290) (ll_1051 BOUND_VARIABLE_268289 BOUND_VARIABLE_268290))))) (let ((_let_18920 (forall ((BOUND_VARIABLE_268264 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268265 (-> tptp.int tptp.product_prod_int_int))) (= (ll_1050 BOUND_VARIABLE_268264 BOUND_VARIABLE_268265) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int BOUND_VARIABLE_268265) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ ll_3340 BOUND_VARIABLE_268264))))))) (let ((_let_18921 (forall ((BOUND_VARIABLE_268239 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268240 (-> tptp.int tptp.product_prod_int_int))) (= (ll_1049 BOUND_VARIABLE_268239 BOUND_VARIABLE_268240) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int BOUND_VARIABLE_268240) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ ll_3339 BOUND_VARIABLE_268239))))))) (let ((_let_18922 (forall ((BOUND_VARIABLE_268232 tptp.nat) (BOUND_VARIABLE_268233 tptp.nat)) (= (= BOUND_VARIABLE_268232 BOUND_VARIABLE_268233) (ll_1048 BOUND_VARIABLE_268232 BOUND_VARIABLE_268233))))) (let ((_let_18923 (forall ((BOUND_VARIABLE_268207 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268208 (-> tptp.nat tptp.product_prod_int_int))) (= (ll_1047 BOUND_VARIABLE_268207 BOUND_VARIABLE_268208) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int BOUND_VARIABLE_268208) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) (@ tptp.collec213857154873943460nt_int (@ ll_3338 BOUND_VARIABLE_268207))))))) (let ((_let_18924 (forall ((BOUND_VARIABLE_268182 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268183 (-> tptp.nat tptp.product_prod_int_int))) (= (ll_1046 BOUND_VARIABLE_268182 BOUND_VARIABLE_268183) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int BOUND_VARIABLE_268183) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) (@ tptp.collec213857154873943460nt_int (@ ll_3337 BOUND_VARIABLE_268182))))))) (let ((_let_18925 (forall ((BOUND_VARIABLE_268175 tptp.rat) (BOUND_VARIABLE_268176 tptp.rat)) (= (= BOUND_VARIABLE_268175 BOUND_VARIABLE_268176) (ll_1045 BOUND_VARIABLE_268175 BOUND_VARIABLE_268176))))) (let ((_let_18926 (forall ((BOUND_VARIABLE_268148 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268149 (-> tptp.rat tptp.product_prod_int_int))) (= (ll_1044 BOUND_VARIABLE_268148 BOUND_VARIABLE_268149) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int BOUND_VARIABLE_268149) (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec213857154873943460nt_int (@ ll_3336 BOUND_VARIABLE_268148))))))) (let ((_let_18927 (forall ((BOUND_VARIABLE_268121 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268122 (-> tptp.rat tptp.product_prod_int_int))) (= (ll_1043 BOUND_VARIABLE_268121 BOUND_VARIABLE_268122) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int BOUND_VARIABLE_268122) (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec213857154873943460nt_int (@ ll_3335 BOUND_VARIABLE_268121))))))) (let ((_let_18928 (forall ((BOUND_VARIABLE_268114 tptp.char) (BOUND_VARIABLE_268115 tptp.char)) (= (= BOUND_VARIABLE_268114 BOUND_VARIABLE_268115) (ll_1042 BOUND_VARIABLE_268114 BOUND_VARIABLE_268115))))) (let ((_let_18929 (forall ((BOUND_VARIABLE_268089 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268090 (-> tptp.char tptp.product_prod_int_int))) (= (ll_1041 BOUND_VARIABLE_268089 BOUND_VARIABLE_268090) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int BOUND_VARIABLE_268090) (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))) (@ tptp.collec213857154873943460nt_int (@ ll_3334 BOUND_VARIABLE_268089))))))) (let ((_let_18930 (forall ((BOUND_VARIABLE_268064 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_268065 (-> tptp.char tptp.product_prod_int_int))) (= (ll_1040 BOUND_VARIABLE_268064 BOUND_VARIABLE_268065) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int BOUND_VARIABLE_268065) (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))) (@ tptp.collec213857154873943460nt_int (@ ll_3333 BOUND_VARIABLE_268064))))))) (let ((_let_18931 (forall ((BOUND_VARIABLE_268052 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_268053 (-> tptp.int tptp.product_prod_num_num))) (= (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num BOUND_VARIABLE_268053) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o BOUND_VARIABLE_268052))) (ll_1039 BOUND_VARIABLE_268052 BOUND_VARIABLE_268053))))) (let ((_let_18932 (forall ((BOUND_VARIABLE_268040 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_268041 (-> tptp.int tptp.product_prod_num_num))) (= (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num BOUND_VARIABLE_268041) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o BOUND_VARIABLE_268040))) (ll_1038 BOUND_VARIABLE_268040 BOUND_VARIABLE_268041))))) (let ((_let_18933 (forall ((BOUND_VARIABLE_268024 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_268025 (-> tptp.int tptp.num)) (BOUND_VARIABLE_268026 (-> tptp.int tptp.num))) (= (ll_1037 BOUND_VARIABLE_268024 BOUND_VARIABLE_268025 BOUND_VARIABLE_268026) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3332) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_268025) BOUND_VARIABLE_268026) BOUND_VARIABLE_268024)))))) (let ((_let_18934 (forall ((BOUND_VARIABLE_268017 tptp.int) (BOUND_VARIABLE_268018 tptp.int)) (= (= BOUND_VARIABLE_268017 BOUND_VARIABLE_268018) (ll_1036 BOUND_VARIABLE_268017 BOUND_VARIABLE_268018))))) (let ((_let_18935 (forall ((BOUND_VARIABLE_268005 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_268006 (-> tptp.int tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat BOUND_VARIABLE_268006) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_268005))) (ll_1035 BOUND_VARIABLE_268005 BOUND_VARIABLE_268006))))) (let ((_let_18936 (forall ((BOUND_VARIABLE_267993 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267994 (-> tptp.int tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat BOUND_VARIABLE_267994) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267993))) (ll_1034 BOUND_VARIABLE_267993 BOUND_VARIABLE_267994))))) (let ((_let_18937 (forall ((BOUND_VARIABLE_267986 tptp.nat) (BOUND_VARIABLE_267987 tptp.nat)) (= (= BOUND_VARIABLE_267986 BOUND_VARIABLE_267987) (ll_1033 BOUND_VARIABLE_267986 BOUND_VARIABLE_267987))))) (let ((_let_18938 (forall ((BOUND_VARIABLE_267974 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267975 (-> tptp.nat tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat BOUND_VARIABLE_267975) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267974))) (ll_1032 BOUND_VARIABLE_267974 BOUND_VARIABLE_267975))))) (let ((_let_18939 (forall ((BOUND_VARIABLE_267962 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267963 (-> tptp.nat tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat BOUND_VARIABLE_267963) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267962))) (ll_1031 BOUND_VARIABLE_267962 BOUND_VARIABLE_267963))))) (let ((_let_18940 (forall ((BOUND_VARIABLE_267955 tptp.rat) (BOUND_VARIABLE_267956 tptp.rat)) (= (= BOUND_VARIABLE_267955 BOUND_VARIABLE_267956) (ll_1030 BOUND_VARIABLE_267955 BOUND_VARIABLE_267956))))) (let ((_let_18941 (forall ((BOUND_VARIABLE_267938 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267939 (-> tptp.rat tptp.product_prod_nat_nat))) (= (ll_1029 BOUND_VARIABLE_267938 BOUND_VARIABLE_267939) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat BOUND_VARIABLE_267939) (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267938))))))) (let ((_let_18942 (forall ((BOUND_VARIABLE_267921 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267922 (-> tptp.rat tptp.product_prod_nat_nat))) (= (ll_1028 BOUND_VARIABLE_267921 BOUND_VARIABLE_267922) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat BOUND_VARIABLE_267922) (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267921))))))) (let ((_let_18943 (forall ((BOUND_VARIABLE_267914 tptp.char) (BOUND_VARIABLE_267915 tptp.char)) (= (= BOUND_VARIABLE_267914 BOUND_VARIABLE_267915) (ll_1027 BOUND_VARIABLE_267914 BOUND_VARIABLE_267915))))) (let ((_let_18944 (forall ((BOUND_VARIABLE_267902 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267903 (-> tptp.char tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat BOUND_VARIABLE_267903) (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267902))) (ll_1026 BOUND_VARIABLE_267902 BOUND_VARIABLE_267903))))) (let ((_let_18945 (forall ((BOUND_VARIABLE_267890 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_267891 (-> tptp.char tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat BOUND_VARIABLE_267891) (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_267890))) (ll_1025 BOUND_VARIABLE_267890 BOUND_VARIABLE_267891))))) (let ((_let_18946 (forall ((BOUND_VARIABLE_267878 (-> tptp.char Bool)) (BOUND_VARIABLE_267879 (-> Bool tptp.char)) (BOUND_VARIABLE_267880 (-> tptp.nat Bool)) (BOUND_VARIABLE_267881 tptp.nat)) (= (@ (@ (@ tptp.comp_char_o_o BOUND_VARIABLE_267878) BOUND_VARIABLE_267879) (@ BOUND_VARIABLE_267880 BOUND_VARIABLE_267881)) (ll_1024 BOUND_VARIABLE_267878 BOUND_VARIABLE_267879 BOUND_VARIABLE_267880 BOUND_VARIABLE_267881))))) (let ((_let_18947 (forall ((BOUND_VARIABLE_267866 (-> tptp.char Bool)) (BOUND_VARIABLE_267867 (-> Bool tptp.char)) (BOUND_VARIABLE_267868 (-> tptp.nat Bool)) (BOUND_VARIABLE_267869 tptp.nat)) (= (@ (@ (@ tptp.comp_char_o_o BOUND_VARIABLE_267866) BOUND_VARIABLE_267867) (@ BOUND_VARIABLE_267868 BOUND_VARIABLE_267869)) (ll_1023 BOUND_VARIABLE_267866 BOUND_VARIABLE_267867 BOUND_VARIABLE_267868 BOUND_VARIABLE_267869))))) (let ((_let_18948 (forall ((BOUND_VARIABLE_267854 (-> Bool tptp.nat)) (BOUND_VARIABLE_267855 (-> tptp.nat Bool)) (BOUND_VARIABLE_267856 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267857 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267854) BOUND_VARIABLE_267855) (@ BOUND_VARIABLE_267856 BOUND_VARIABLE_267857)) (ll_1022 BOUND_VARIABLE_267854 BOUND_VARIABLE_267855 BOUND_VARIABLE_267856 BOUND_VARIABLE_267857))))) (let ((_let_18949 (forall ((BOUND_VARIABLE_267834 (-> Bool tptp.nat)) (BOUND_VARIABLE_267835 (-> Bool Bool)) (BOUND_VARIABLE_267836 (-> tptp.nat Bool)) (BOUND_VARIABLE_267837 (-> Bool tptp.nat)) (BOUND_VARIABLE_267838 (-> tptp.nat Bool)) (BOUND_VARIABLE_267839 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267840 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o BOUND_VARIABLE_267834) BOUND_VARIABLE_267835)) BOUND_VARIABLE_267836) (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267837) BOUND_VARIABLE_267838) (@ BOUND_VARIABLE_267839 BOUND_VARIABLE_267840))) (ll_1021 BOUND_VARIABLE_267834 BOUND_VARIABLE_267835 BOUND_VARIABLE_267836 BOUND_VARIABLE_267837 BOUND_VARIABLE_267838 BOUND_VARIABLE_267839 BOUND_VARIABLE_267840))))) (let ((_let_18950 (forall ((BOUND_VARIABLE_267825 (-> Bool Bool)) (BOUND_VARIABLE_267826 (-> tptp.nat Bool)) (BOUND_VARIABLE_267827 tptp.nat)) (= (@ BOUND_VARIABLE_267825 (@ BOUND_VARIABLE_267826 BOUND_VARIABLE_267827)) (ll_1020 BOUND_VARIABLE_267825 BOUND_VARIABLE_267826 BOUND_VARIABLE_267827))))) (let ((_let_18951 (forall ((BOUND_VARIABLE_267813 (-> Bool tptp.nat)) (BOUND_VARIABLE_267814 (-> tptp.nat Bool)) (BOUND_VARIABLE_267815 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267816 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267813) BOUND_VARIABLE_267814) (@ BOUND_VARIABLE_267815 BOUND_VARIABLE_267816)) (ll_1019 BOUND_VARIABLE_267813 BOUND_VARIABLE_267814 BOUND_VARIABLE_267815 BOUND_VARIABLE_267816))))) (let ((_let_18952 (forall ((BOUND_VARIABLE_267804 (-> Bool Bool)) (BOUND_VARIABLE_267805 (-> tptp.nat Bool)) (BOUND_VARIABLE_267806 tptp.nat)) (= (@ BOUND_VARIABLE_267804 (@ BOUND_VARIABLE_267805 BOUND_VARIABLE_267806)) (ll_1018 BOUND_VARIABLE_267804 BOUND_VARIABLE_267805 BOUND_VARIABLE_267806))))) (let ((_let_18953 (forall ((BOUND_VARIABLE_267795 (-> Bool Bool)) (BOUND_VARIABLE_267796 (-> tptp.nat Bool)) (BOUND_VARIABLE_267797 tptp.nat)) (= (@ BOUND_VARIABLE_267795 (@ BOUND_VARIABLE_267796 BOUND_VARIABLE_267797)) (ll_1017 BOUND_VARIABLE_267795 BOUND_VARIABLE_267796 BOUND_VARIABLE_267797))))) (let ((_let_18954 (forall ((BOUND_VARIABLE_267783 (-> Bool tptp.num)) (BOUND_VARIABLE_267784 (-> tptp.nat Bool)) (BOUND_VARIABLE_267785 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267786 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267783) BOUND_VARIABLE_267784) (@ BOUND_VARIABLE_267785 BOUND_VARIABLE_267786)) (ll_1016 BOUND_VARIABLE_267783 BOUND_VARIABLE_267784 BOUND_VARIABLE_267785 BOUND_VARIABLE_267786))))) (let ((_let_18955 (forall ((BOUND_VARIABLE_267762 (-> Bool tptp.num)) (BOUND_VARIABLE_267763 (-> Bool Bool)) (BOUND_VARIABLE_267764 (-> tptp.nat Bool)) (BOUND_VARIABLE_267765 (-> Bool tptp.nat)) (BOUND_VARIABLE_267766 (-> tptp.nat Bool)) (BOUND_VARIABLE_267767 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267768 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat (@ (@ tptp.comp_o_num_o BOUND_VARIABLE_267762) BOUND_VARIABLE_267763)) BOUND_VARIABLE_267764) (@ (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267765) BOUND_VARIABLE_267766)) BOUND_VARIABLE_267767) BOUND_VARIABLE_267768)) (ll_1015 BOUND_VARIABLE_267762 BOUND_VARIABLE_267763 BOUND_VARIABLE_267764 BOUND_VARIABLE_267765 BOUND_VARIABLE_267766 BOUND_VARIABLE_267767 BOUND_VARIABLE_267768))))) (let ((_let_18956 (forall ((BOUND_VARIABLE_267753 (-> Bool Bool)) (BOUND_VARIABLE_267754 (-> tptp.nat Bool)) (BOUND_VARIABLE_267755 tptp.nat)) (= (@ BOUND_VARIABLE_267753 (@ BOUND_VARIABLE_267754 BOUND_VARIABLE_267755)) (ll_1014 BOUND_VARIABLE_267753 BOUND_VARIABLE_267754 BOUND_VARIABLE_267755))))) (let ((_let_18957 (forall ((BOUND_VARIABLE_267741 (-> Bool tptp.num)) (BOUND_VARIABLE_267742 (-> tptp.nat Bool)) (BOUND_VARIABLE_267743 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267744 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267741) BOUND_VARIABLE_267742) (@ BOUND_VARIABLE_267743 BOUND_VARIABLE_267744)) (ll_1013 BOUND_VARIABLE_267741 BOUND_VARIABLE_267742 BOUND_VARIABLE_267743 BOUND_VARIABLE_267744))))) (let ((_let_18958 (forall ((BOUND_VARIABLE_267729 (-> Bool tptp.num)) (BOUND_VARIABLE_267730 (-> tptp.nat Bool)) (BOUND_VARIABLE_267731 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267732 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267729) BOUND_VARIABLE_267730) (@ BOUND_VARIABLE_267731 BOUND_VARIABLE_267732)) (ll_1012 BOUND_VARIABLE_267729 BOUND_VARIABLE_267730 BOUND_VARIABLE_267731 BOUND_VARIABLE_267732))))) (let ((_let_18959 (forall ((BOUND_VARIABLE_267720 (-> Bool Bool)) (BOUND_VARIABLE_267721 (-> tptp.nat Bool)) (BOUND_VARIABLE_267722 tptp.nat)) (= (@ BOUND_VARIABLE_267720 (@ BOUND_VARIABLE_267721 BOUND_VARIABLE_267722)) (ll_1011 BOUND_VARIABLE_267720 BOUND_VARIABLE_267721 BOUND_VARIABLE_267722))))) (let ((_let_18960 (forall ((BOUND_VARIABLE_267708 (-> Bool tptp.num)) (BOUND_VARIABLE_267709 (-> tptp.nat Bool)) (BOUND_VARIABLE_267710 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267711 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267708) BOUND_VARIABLE_267709) (@ BOUND_VARIABLE_267710 BOUND_VARIABLE_267711)) (ll_1010 BOUND_VARIABLE_267708 BOUND_VARIABLE_267709 BOUND_VARIABLE_267710 BOUND_VARIABLE_267711))))) (let ((_let_18961 (forall ((BOUND_VARIABLE_267699 (-> Bool Bool)) (BOUND_VARIABLE_267700 (-> tptp.nat Bool)) (BOUND_VARIABLE_267701 tptp.nat)) (= (@ BOUND_VARIABLE_267699 (@ BOUND_VARIABLE_267700 BOUND_VARIABLE_267701)) (ll_1009 BOUND_VARIABLE_267699 BOUND_VARIABLE_267700 BOUND_VARIABLE_267701))))) (let ((_let_18962 (forall ((BOUND_VARIABLE_267690 (-> Bool Bool)) (BOUND_VARIABLE_267691 (-> tptp.nat Bool)) (BOUND_VARIABLE_267692 tptp.nat)) (= (@ BOUND_VARIABLE_267690 (@ BOUND_VARIABLE_267691 BOUND_VARIABLE_267692)) (ll_1008 BOUND_VARIABLE_267690 BOUND_VARIABLE_267691 BOUND_VARIABLE_267692))))) (let ((_let_18963 (forall ((BOUND_VARIABLE_267681 (-> Bool Bool)) (BOUND_VARIABLE_267682 (-> tptp.nat Bool)) (BOUND_VARIABLE_267683 tptp.nat)) (= (@ BOUND_VARIABLE_267681 (@ BOUND_VARIABLE_267682 BOUND_VARIABLE_267683)) (ll_1007 BOUND_VARIABLE_267681 BOUND_VARIABLE_267682 BOUND_VARIABLE_267683))))) (let ((_let_18964 (forall ((BOUND_VARIABLE_267644 (-> Bool Bool)) (BOUND_VARIABLE_267645 (-> Bool Bool)) (BOUND_VARIABLE_267646 (-> Bool Bool)) (BOUND_VARIABLE_267647 (-> Bool Bool)) (BOUND_VARIABLE_267648 (-> tptp.nat Bool)) (BOUND_VARIABLE_267649 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267650 tptp.nat)) (= (ll_1006 BOUND_VARIABLE_267644 BOUND_VARIABLE_267645 BOUND_VARIABLE_267646 BOUND_VARIABLE_267647 BOUND_VARIABLE_267648 BOUND_VARIABLE_267649 BOUND_VARIABLE_267650) (@ (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_267644) BOUND_VARIABLE_267645)) BOUND_VARIABLE_267646) (@ (@ (@ tptp.comp_nat_o_nat (@ (@ ll_3331 BOUND_VARIABLE_267647) BOUND_VARIABLE_267648)) BOUND_VARIABLE_267649) BOUND_VARIABLE_267650)))))) (let ((_let_18965 (forall ((BOUND_VARIABLE_267635 (-> Bool Bool)) (BOUND_VARIABLE_267636 (-> tptp.nat Bool)) (BOUND_VARIABLE_267637 tptp.nat)) (= (@ BOUND_VARIABLE_267635 (@ BOUND_VARIABLE_267636 BOUND_VARIABLE_267637)) (ll_1005 BOUND_VARIABLE_267635 BOUND_VARIABLE_267636 BOUND_VARIABLE_267637))))) (let ((_let_18966 (forall ((BOUND_VARIABLE_267626 (-> Bool Bool)) (BOUND_VARIABLE_267627 (-> tptp.nat Bool)) (BOUND_VARIABLE_267628 tptp.nat)) (= (@ BOUND_VARIABLE_267626 (@ BOUND_VARIABLE_267627 BOUND_VARIABLE_267628)) (ll_1004 BOUND_VARIABLE_267626 BOUND_VARIABLE_267627 BOUND_VARIABLE_267628))))) (let ((_let_18967 (forall ((BOUND_VARIABLE_267614 (-> Bool Bool)) (BOUND_VARIABLE_267615 (-> Bool Bool)) (BOUND_VARIABLE_267616 (-> tptp.nat Bool)) (BOUND_VARIABLE_267617 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_267614) BOUND_VARIABLE_267615) (@ BOUND_VARIABLE_267616 BOUND_VARIABLE_267617)) (ll_1003 BOUND_VARIABLE_267614 BOUND_VARIABLE_267615 BOUND_VARIABLE_267616 BOUND_VARIABLE_267617))))) (let ((_let_18968 (forall ((BOUND_VARIABLE_267602 (-> Bool tptp.nat)) (BOUND_VARIABLE_267603 (-> tptp.nat Bool)) (BOUND_VARIABLE_267604 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267605 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267602) BOUND_VARIABLE_267603) (@ BOUND_VARIABLE_267604 BOUND_VARIABLE_267605)) (ll_1002 BOUND_VARIABLE_267602 BOUND_VARIABLE_267603 BOUND_VARIABLE_267604 BOUND_VARIABLE_267605))))) (let ((_let_18969 (forall ((BOUND_VARIABLE_267593 (-> Bool Bool)) (BOUND_VARIABLE_267594 (-> tptp.nat Bool)) (BOUND_VARIABLE_267595 tptp.nat)) (= (@ BOUND_VARIABLE_267593 (@ BOUND_VARIABLE_267594 BOUND_VARIABLE_267595)) (ll_1001 BOUND_VARIABLE_267593 BOUND_VARIABLE_267594 BOUND_VARIABLE_267595))))) (let ((_let_18970 (forall ((BOUND_VARIABLE_267584 (-> Bool Bool)) (BOUND_VARIABLE_267585 (-> tptp.nat Bool)) (BOUND_VARIABLE_267586 tptp.nat)) (= (@ BOUND_VARIABLE_267584 (@ BOUND_VARIABLE_267585 BOUND_VARIABLE_267586)) (ll_1000 BOUND_VARIABLE_267584 BOUND_VARIABLE_267585 BOUND_VARIABLE_267586))))) (let ((_let_18971 (forall ((BOUND_VARIABLE_267572 (-> Bool tptp.num)) (BOUND_VARIABLE_267573 (-> tptp.nat Bool)) (BOUND_VARIABLE_267574 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267575 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267572) BOUND_VARIABLE_267573) (@ BOUND_VARIABLE_267574 BOUND_VARIABLE_267575)) (ll_999 BOUND_VARIABLE_267572 BOUND_VARIABLE_267573 BOUND_VARIABLE_267574 BOUND_VARIABLE_267575))))) (let ((_let_18972 (forall ((BOUND_VARIABLE_267563 (-> Bool Bool)) (BOUND_VARIABLE_267564 (-> tptp.nat Bool)) (BOUND_VARIABLE_267565 tptp.nat)) (= (@ BOUND_VARIABLE_267563 (@ BOUND_VARIABLE_267564 BOUND_VARIABLE_267565)) (ll_998 BOUND_VARIABLE_267563 BOUND_VARIABLE_267564 BOUND_VARIABLE_267565))))) (let ((_let_18973 (forall ((BOUND_VARIABLE_267542 (-> Bool tptp.nat)) (BOUND_VARIABLE_267543 (-> Bool Bool)) (BOUND_VARIABLE_267544 (-> tptp.int Bool)) (BOUND_VARIABLE_267545 (-> Bool tptp.int)) (BOUND_VARIABLE_267546 (-> tptp.nat Bool)) (BOUND_VARIABLE_267547 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267548 tptp.int)) (= (@ (@ (@ tptp.comp_o_nat_int (@ (@ tptp.comp_o_nat_o BOUND_VARIABLE_267542) BOUND_VARIABLE_267543)) BOUND_VARIABLE_267544) (@ (@ (@ tptp.comp_nat_int_int (@ (@ tptp.comp_o_int_nat BOUND_VARIABLE_267545) BOUND_VARIABLE_267546)) BOUND_VARIABLE_267547) BOUND_VARIABLE_267548)) (ll_997 BOUND_VARIABLE_267542 BOUND_VARIABLE_267543 BOUND_VARIABLE_267544 BOUND_VARIABLE_267545 BOUND_VARIABLE_267546 BOUND_VARIABLE_267547 BOUND_VARIABLE_267548))))) (let ((_let_18974 (forall ((BOUND_VARIABLE_267533 (-> Bool Bool)) (BOUND_VARIABLE_267534 (-> tptp.nat Bool)) (BOUND_VARIABLE_267535 tptp.nat)) (= (@ BOUND_VARIABLE_267533 (@ BOUND_VARIABLE_267534 BOUND_VARIABLE_267535)) (ll_996 BOUND_VARIABLE_267533 BOUND_VARIABLE_267534 BOUND_VARIABLE_267535))))) (let ((_let_18975 (forall ((BOUND_VARIABLE_267513 (-> Bool tptp.nat)) (BOUND_VARIABLE_267514 (-> Bool Bool)) (BOUND_VARIABLE_267515 (-> tptp.nat Bool)) (BOUND_VARIABLE_267516 (-> Bool tptp.nat)) (BOUND_VARIABLE_267517 (-> tptp.nat Bool)) (BOUND_VARIABLE_267518 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267519 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o BOUND_VARIABLE_267513) BOUND_VARIABLE_267514)) BOUND_VARIABLE_267515) (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267516) BOUND_VARIABLE_267517) (@ BOUND_VARIABLE_267518 BOUND_VARIABLE_267519))) (ll_995 BOUND_VARIABLE_267513 BOUND_VARIABLE_267514 BOUND_VARIABLE_267515 BOUND_VARIABLE_267516 BOUND_VARIABLE_267517 BOUND_VARIABLE_267518 BOUND_VARIABLE_267519))))) (let ((_let_18976 (forall ((BOUND_VARIABLE_267484 (-> Bool tptp.nat)) (BOUND_VARIABLE_267485 (-> Bool Bool)) (BOUND_VARIABLE_267486 (-> tptp.nat Bool)) (BOUND_VARIABLE_267487 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267488 tptp.nat)) (= (ll_994 BOUND_VARIABLE_267484 BOUND_VARIABLE_267485 BOUND_VARIABLE_267486 BOUND_VARIABLE_267487 BOUND_VARIABLE_267488) (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267484) (@ (@ ll_3330 BOUND_VARIABLE_267485) BOUND_VARIABLE_267486)) (@ BOUND_VARIABLE_267487 BOUND_VARIABLE_267488)))))) (let ((_let_18977 (forall ((BOUND_VARIABLE_267475 (-> Bool Bool)) (BOUND_VARIABLE_267476 (-> tptp.nat Bool)) (BOUND_VARIABLE_267477 tptp.nat)) (= (@ BOUND_VARIABLE_267475 (@ BOUND_VARIABLE_267476 BOUND_VARIABLE_267477)) (ll_993 BOUND_VARIABLE_267475 BOUND_VARIABLE_267476 BOUND_VARIABLE_267477))))) (let ((_let_18978 (forall ((BOUND_VARIABLE_267446 (-> Bool tptp.nat)) (BOUND_VARIABLE_267447 (-> Bool Bool)) (BOUND_VARIABLE_267448 (-> tptp.nat Bool)) (BOUND_VARIABLE_267449 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267450 tptp.nat)) (= (ll_992 BOUND_VARIABLE_267446 BOUND_VARIABLE_267447 BOUND_VARIABLE_267448 BOUND_VARIABLE_267449 BOUND_VARIABLE_267450) (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267446) (@ (@ ll_3329 BOUND_VARIABLE_267447) BOUND_VARIABLE_267448)) (@ BOUND_VARIABLE_267449 BOUND_VARIABLE_267450)))))) (let ((_let_18979 (forall ((BOUND_VARIABLE_267425 (-> Bool tptp.num)) (BOUND_VARIABLE_267426 (-> Bool Bool)) (BOUND_VARIABLE_267427 (-> tptp.nat Bool)) (BOUND_VARIABLE_267428 (-> Bool tptp.nat)) (BOUND_VARIABLE_267429 (-> tptp.nat Bool)) (BOUND_VARIABLE_267430 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267431 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat (@ (@ tptp.comp_o_num_o BOUND_VARIABLE_267425) BOUND_VARIABLE_267426)) BOUND_VARIABLE_267427) (@ (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267428) BOUND_VARIABLE_267429)) BOUND_VARIABLE_267430) BOUND_VARIABLE_267431)) (ll_991 BOUND_VARIABLE_267425 BOUND_VARIABLE_267426 BOUND_VARIABLE_267427 BOUND_VARIABLE_267428 BOUND_VARIABLE_267429 BOUND_VARIABLE_267430 BOUND_VARIABLE_267431))))) (let ((_let_18980 (forall ((BOUND_VARIABLE_267396 (-> Bool tptp.num)) (BOUND_VARIABLE_267397 (-> Bool Bool)) (BOUND_VARIABLE_267398 (-> tptp.nat Bool)) (BOUND_VARIABLE_267399 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267400 tptp.int)) (= (ll_990 BOUND_VARIABLE_267396 BOUND_VARIABLE_267397 BOUND_VARIABLE_267398 BOUND_VARIABLE_267399 BOUND_VARIABLE_267400) (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267396) (@ (@ ll_3328 BOUND_VARIABLE_267397) BOUND_VARIABLE_267398)) (@ BOUND_VARIABLE_267399 BOUND_VARIABLE_267400)))))) (let ((_let_18981 (forall ((BOUND_VARIABLE_267384 (-> Bool tptp.num)) (BOUND_VARIABLE_267385 (-> tptp.nat Bool)) (BOUND_VARIABLE_267386 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267387 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267384) BOUND_VARIABLE_267385) (@ BOUND_VARIABLE_267386 BOUND_VARIABLE_267387)) (ll_989 BOUND_VARIABLE_267384 BOUND_VARIABLE_267385 BOUND_VARIABLE_267386 BOUND_VARIABLE_267387))))) (let ((_let_18982 (forall ((BOUND_VARIABLE_267355 (-> Bool tptp.num)) (BOUND_VARIABLE_267356 (-> Bool Bool)) (BOUND_VARIABLE_267357 (-> tptp.nat Bool)) (BOUND_VARIABLE_267358 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267359 tptp.int)) (= (ll_988 BOUND_VARIABLE_267355 BOUND_VARIABLE_267356 BOUND_VARIABLE_267357 BOUND_VARIABLE_267358 BOUND_VARIABLE_267359) (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267355) (@ (@ ll_3327 BOUND_VARIABLE_267356) BOUND_VARIABLE_267357)) (@ BOUND_VARIABLE_267358 BOUND_VARIABLE_267359)))))) (let ((_let_18983 (forall ((BOUND_VARIABLE_267346 (-> Bool Bool)) (BOUND_VARIABLE_267347 (-> tptp.nat Bool)) (BOUND_VARIABLE_267348 tptp.nat)) (= (@ BOUND_VARIABLE_267346 (@ BOUND_VARIABLE_267347 BOUND_VARIABLE_267348)) (ll_987 BOUND_VARIABLE_267346 BOUND_VARIABLE_267347 BOUND_VARIABLE_267348))))) (let ((_let_18984 (forall ((BOUND_VARIABLE_267317 (-> Bool tptp.num)) (BOUND_VARIABLE_267318 (-> Bool Bool)) (BOUND_VARIABLE_267319 (-> tptp.nat Bool)) (BOUND_VARIABLE_267320 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267321 tptp.int)) (= (ll_986 BOUND_VARIABLE_267317 BOUND_VARIABLE_267318 BOUND_VARIABLE_267319 BOUND_VARIABLE_267320 BOUND_VARIABLE_267321) (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267317) (@ (@ ll_3326 BOUND_VARIABLE_267318) BOUND_VARIABLE_267319)) (@ BOUND_VARIABLE_267320 BOUND_VARIABLE_267321)))))) (let ((_let_18985 (forall ((BOUND_VARIABLE_267280 (-> Bool Bool)) (BOUND_VARIABLE_267281 (-> Bool Bool)) (BOUND_VARIABLE_267282 (-> Bool Bool)) (BOUND_VARIABLE_267283 (-> Bool Bool)) (BOUND_VARIABLE_267284 (-> tptp.nat Bool)) (BOUND_VARIABLE_267285 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267286 tptp.nat)) (= (ll_985 BOUND_VARIABLE_267280 BOUND_VARIABLE_267281 BOUND_VARIABLE_267282 BOUND_VARIABLE_267283 BOUND_VARIABLE_267284 BOUND_VARIABLE_267285 BOUND_VARIABLE_267286) (@ (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_267280) BOUND_VARIABLE_267281)) BOUND_VARIABLE_267282) (@ (@ (@ tptp.comp_nat_o_nat (@ (@ ll_3325 BOUND_VARIABLE_267283) BOUND_VARIABLE_267284)) BOUND_VARIABLE_267285) BOUND_VARIABLE_267286)))))) (let ((_let_18986 (forall ((BOUND_VARIABLE_267269 (-> Bool Bool)) (BOUND_VARIABLE_267270 (-> Bool Bool)) (BOUND_VARIABLE_267271 (-> tptp.nat Bool)) (BOUND_VARIABLE_267272 tptp.nat)) (= (@ BOUND_VARIABLE_267269 (@ BOUND_VARIABLE_267270 (@ BOUND_VARIABLE_267271 BOUND_VARIABLE_267272))) (ll_984 BOUND_VARIABLE_267269 BOUND_VARIABLE_267270 BOUND_VARIABLE_267271 BOUND_VARIABLE_267272))))) (let ((_let_18987 (forall ((BOUND_VARIABLE_267257 (-> Bool Bool)) (BOUND_VARIABLE_267258 (-> Bool Bool)) (BOUND_VARIABLE_267259 (-> tptp.nat Bool)) (BOUND_VARIABLE_267260 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_267257) BOUND_VARIABLE_267258) (@ BOUND_VARIABLE_267259 BOUND_VARIABLE_267260)) (ll_983 BOUND_VARIABLE_267257 BOUND_VARIABLE_267258 BOUND_VARIABLE_267259 BOUND_VARIABLE_267260))))) (let ((_let_18988 (forall ((BOUND_VARIABLE_267245 (-> Bool tptp.nat)) (BOUND_VARIABLE_267246 (-> tptp.nat Bool)) (BOUND_VARIABLE_267247 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267248 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267245) BOUND_VARIABLE_267246) (@ BOUND_VARIABLE_267247 BOUND_VARIABLE_267248)) (ll_982 BOUND_VARIABLE_267245 BOUND_VARIABLE_267246 BOUND_VARIABLE_267247 BOUND_VARIABLE_267248))))) (let ((_let_18989 (forall ((BOUND_VARIABLE_267234 (-> Bool Bool)) (BOUND_VARIABLE_267235 (-> Bool Bool)) (BOUND_VARIABLE_267236 (-> tptp.nat Bool)) (BOUND_VARIABLE_267237 tptp.nat)) (= (@ BOUND_VARIABLE_267234 (@ BOUND_VARIABLE_267235 (@ BOUND_VARIABLE_267236 BOUND_VARIABLE_267237))) (ll_981 BOUND_VARIABLE_267234 BOUND_VARIABLE_267235 BOUND_VARIABLE_267236 BOUND_VARIABLE_267237))))) (let ((_let_18990 (forall ((BOUND_VARIABLE_267222 (-> Bool tptp.num)) (BOUND_VARIABLE_267223 (-> tptp.nat Bool)) (BOUND_VARIABLE_267224 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267225 tptp.int)) (= (@ (@ (@ tptp.comp_o_num_nat BOUND_VARIABLE_267222) BOUND_VARIABLE_267223) (@ BOUND_VARIABLE_267224 BOUND_VARIABLE_267225)) (ll_980 BOUND_VARIABLE_267222 BOUND_VARIABLE_267223 BOUND_VARIABLE_267224 BOUND_VARIABLE_267225))))) (let ((_let_18991 (forall ((BOUND_VARIABLE_267211 (-> Bool Bool)) (BOUND_VARIABLE_267212 (-> Bool Bool)) (BOUND_VARIABLE_267213 (-> tptp.nat Bool)) (BOUND_VARIABLE_267214 tptp.nat)) (= (@ BOUND_VARIABLE_267211 (@ BOUND_VARIABLE_267212 (@ BOUND_VARIABLE_267213 BOUND_VARIABLE_267214))) (ll_979 BOUND_VARIABLE_267211 BOUND_VARIABLE_267212 BOUND_VARIABLE_267213 BOUND_VARIABLE_267214))))) (let ((_let_18992 (forall ((BOUND_VARIABLE_267190 (-> Bool tptp.nat)) (BOUND_VARIABLE_267191 (-> Bool Bool)) (BOUND_VARIABLE_267192 (-> tptp.int Bool)) (BOUND_VARIABLE_267193 (-> Bool tptp.int)) (BOUND_VARIABLE_267194 (-> tptp.nat Bool)) (BOUND_VARIABLE_267195 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_267196 tptp.int)) (= (@ (@ (@ tptp.comp_o_nat_int (@ (@ tptp.comp_o_nat_o BOUND_VARIABLE_267190) BOUND_VARIABLE_267191)) BOUND_VARIABLE_267192) (@ (@ (@ tptp.comp_nat_int_int (@ (@ tptp.comp_o_int_nat BOUND_VARIABLE_267193) BOUND_VARIABLE_267194)) BOUND_VARIABLE_267195) BOUND_VARIABLE_267196)) (ll_978 BOUND_VARIABLE_267190 BOUND_VARIABLE_267191 BOUND_VARIABLE_267192 BOUND_VARIABLE_267193 BOUND_VARIABLE_267194 BOUND_VARIABLE_267195 BOUND_VARIABLE_267196))))) (let ((_let_18993 (forall ((BOUND_VARIABLE_267181 (-> Bool Bool)) (BOUND_VARIABLE_267182 (-> tptp.nat Bool)) (BOUND_VARIABLE_267183 tptp.nat)) (= (@ BOUND_VARIABLE_267181 (@ BOUND_VARIABLE_267182 BOUND_VARIABLE_267183)) (ll_977 BOUND_VARIABLE_267181 BOUND_VARIABLE_267182 BOUND_VARIABLE_267183))))) (let ((_let_18994 (forall ((BOUND_VARIABLE_267172 (-> Bool Bool)) (BOUND_VARIABLE_267173 (-> tptp.nat Bool)) (BOUND_VARIABLE_267174 tptp.nat)) (= (@ BOUND_VARIABLE_267172 (@ BOUND_VARIABLE_267173 BOUND_VARIABLE_267174)) (ll_976 BOUND_VARIABLE_267172 BOUND_VARIABLE_267173 BOUND_VARIABLE_267174))))) (let ((_let_18995 (forall ((BOUND_VARIABLE_267158 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267159 (-> Bool tptp.nat)) (BOUND_VARIABLE_267160 (-> tptp.nat Bool)) (BOUND_VARIABLE_267161 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_267162 tptp.nat)) (= (@ BOUND_VARIABLE_267158 (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_267159) BOUND_VARIABLE_267160) (@ BOUND_VARIABLE_267161 BOUND_VARIABLE_267162))) (ll_975 BOUND_VARIABLE_267158 BOUND_VARIABLE_267159 BOUND_VARIABLE_267160 BOUND_VARIABLE_267161 BOUND_VARIABLE_267162))))) (let ((_let_18996 (forall ((BOUND_VARIABLE_267151 tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.produc8256076736985659095t_unit BOUND_VARIABLE_267151) BOUND_VARIABLE_267151) (ll_974 BOUND_VARIABLE_267151))))) (let ((_let_18997 (forall ((BOUND_VARIABLE_267144 tptp.ref_a)) (= (@ (@ tptp.produc1340070678782110931_ref_a BOUND_VARIABLE_267144) BOUND_VARIABLE_267144) (ll_973 BOUND_VARIABLE_267144))))) (let ((_let_18998 (forall ((BOUND_VARIABLE_267134 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_267135 tptp.int) (BOUND_VARIABLE_267136 tptp.nat)) (let ((_let_1 (@ BOUND_VARIABLE_267134 BOUND_VARIABLE_267135))) (= (@ _let_1 (@ _let_1 BOUND_VARIABLE_267136)) (ll_972 BOUND_VARIABLE_267134 BOUND_VARIABLE_267135 BOUND_VARIABLE_267136)))))) (let ((_let_18999 (forall ((BOUND_VARIABLE_267124 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_267125 tptp.nat) (BOUND_VARIABLE_267126 tptp.nat)) (let ((_let_1 (@ BOUND_VARIABLE_267124 BOUND_VARIABLE_267125))) (= (@ _let_1 (@ _let_1 BOUND_VARIABLE_267126)) (ll_971 BOUND_VARIABLE_267124 BOUND_VARIABLE_267125 BOUND_VARIABLE_267126)))))) (let ((_let_19000 (forall ((BOUND_VARIABLE_267114 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_267115 Bool) (BOUND_VARIABLE_267116 tptp.nat)) (let ((_let_1 (@ BOUND_VARIABLE_267114 BOUND_VARIABLE_267115))) (= (@ _let_1 (@ _let_1 BOUND_VARIABLE_267116)) (ll_970 BOUND_VARIABLE_267114 BOUND_VARIABLE_267115 BOUND_VARIABLE_267116)))))) (let ((_let_19001 (forall ((BOUND_VARIABLE_267104 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_267105 tptp.product_prod_nat_nat) (BOUND_VARIABLE_267106 tptp.nat)) (let ((_let_1 (@ BOUND_VARIABLE_267104 BOUND_VARIABLE_267105))) (= (@ _let_1 (@ _let_1 BOUND_VARIABLE_267106)) (ll_969 BOUND_VARIABLE_267104 BOUND_VARIABLE_267105 BOUND_VARIABLE_267106)))))) (let ((_let_19002 (forall ((BOUND_VARIABLE_267094 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_267095 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_267096 tptp.nat)) (let ((_let_1 (@ BOUND_VARIABLE_267094 BOUND_VARIABLE_267095))) (= (@ _let_1 (@ _let_1 BOUND_VARIABLE_267096)) (ll_968 BOUND_VARIABLE_267094 BOUND_VARIABLE_267095 BOUND_VARIABLE_267096)))))) (let ((_let_19003 (forall ((BOUND_VARIABLE_267086 tptp.ref_a) (BOUND_VARIABLE_267087 tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.produc2564672488694626579_ref_a BOUND_VARIABLE_267087) BOUND_VARIABLE_267086) (ll_967 BOUND_VARIABLE_267086 BOUND_VARIABLE_267087))))) (let ((_let_19004 (forall ((BOUND_VARIABLE_267078 tptp.nat) (BOUND_VARIABLE_267079 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_267079) BOUND_VARIABLE_267078) (ll_966 BOUND_VARIABLE_267078 BOUND_VARIABLE_267079))))) (let ((_let_19005 (forall ((BOUND_VARIABLE_267070 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_267071 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_267071) BOUND_VARIABLE_267070) (ll_965 BOUND_VARIABLE_267070 BOUND_VARIABLE_267071))))) (let ((_let_19006 (forall ((BOUND_VARIABLE_267062 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_267063 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_267063) BOUND_VARIABLE_267062) (ll_964 BOUND_VARIABLE_267062 BOUND_VARIABLE_267063))))) (let ((_let_19007 (forall ((BOUND_VARIABLE_267054 tptp.ref_a) (BOUND_VARIABLE_267055 tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.produc2564672488694626579_ref_a BOUND_VARIABLE_267055) BOUND_VARIABLE_267054) (ll_963 BOUND_VARIABLE_267054 BOUND_VARIABLE_267055))))) (let ((_let_19008 (forall ((BOUND_VARIABLE_267043 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_267044 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_267045 tptp.code_integer) (BOUND_VARIABLE_267046 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_267043 (@ BOUND_VARIABLE_267044 BOUND_VARIABLE_267045)) BOUND_VARIABLE_267046) (ll_962 BOUND_VARIABLE_267043 BOUND_VARIABLE_267044 BOUND_VARIABLE_267045 BOUND_VARIABLE_267046))))) (let ((_let_19009 (forall ((BOUND_VARIABLE_267036 tptp.int)) (= (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_267036) BOUND_VARIABLE_267036) (ll_961 BOUND_VARIABLE_267036))))) (let ((_let_19010 (forall ((BOUND_VARIABLE_267029 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_267029) BOUND_VARIABLE_267029) (ll_960 BOUND_VARIABLE_267029))))) (let ((_let_19011 (forall ((BOUND_VARIABLE_267022 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_267022) BOUND_VARIABLE_267022) (ll_959 BOUND_VARIABLE_267022))))) (let ((_let_19012 (forall ((BOUND_VARIABLE_267015 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_267015) BOUND_VARIABLE_267015) (ll_958 BOUND_VARIABLE_267015))))) (let ((_let_19013 (forall ((BOUND_VARIABLE_267008 tptp.num)) (= (@ (@ tptp.product_Pair_num_num BOUND_VARIABLE_267008) BOUND_VARIABLE_267008) (ll_957 BOUND_VARIABLE_267008))))) (let ((_let_19014 (forall ((BOUND_VARIABLE_267001 Bool)) (= (@ (@ tptp.product_Pair_o_o BOUND_VARIABLE_267001) BOUND_VARIABLE_267001) (ll_956 BOUND_VARIABLE_267001))))) (let ((_let_19015 (forall ((BOUND_VARIABLE_266994 tptp.int)) (= (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_266994) BOUND_VARIABLE_266994) (ll_955 BOUND_VARIABLE_266994))))) (let ((_let_19016 (forall ((BOUND_VARIABLE_266987 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_266987) BOUND_VARIABLE_266987) (ll_954 BOUND_VARIABLE_266987))))) (let ((_let_19017 (forall ((BOUND_VARIABLE_266980 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_266980) BOUND_VARIABLE_266980) (ll_953 BOUND_VARIABLE_266980))))) (let ((_let_19018 (forall ((BOUND_VARIABLE_266973 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_266973) BOUND_VARIABLE_266973) (ll_952 BOUND_VARIABLE_266973))))) (let ((_let_19019 (forall ((BOUND_VARIABLE_266966 tptp.num)) (= (@ (@ tptp.product_Pair_num_num BOUND_VARIABLE_266966) BOUND_VARIABLE_266966) (ll_951 BOUND_VARIABLE_266966))))) (let ((_let_19020 (forall ((BOUND_VARIABLE_266959 Bool)) (= (@ (@ tptp.product_Pair_o_o BOUND_VARIABLE_266959) BOUND_VARIABLE_266959) (ll_950 BOUND_VARIABLE_266959))))) (let ((_let_19021 (forall ((BOUND_VARIABLE_266952 Bool) (BOUND_VARIABLE_266953 Bool)) (= (= BOUND_VARIABLE_266952 BOUND_VARIABLE_266953) (ll_949 BOUND_VARIABLE_266952 BOUND_VARIABLE_266953))))) (let ((_let_19022 (forall ((BOUND_VARIABLE_266945 Bool) (BOUND_VARIABLE_266946 Bool)) (= (= BOUND_VARIABLE_266945 BOUND_VARIABLE_266946) (ll_948 BOUND_VARIABLE_266945 BOUND_VARIABLE_266946))))) (let ((_let_19023 (forall ((BOUND_VARIABLE_266938 Bool) (BOUND_VARIABLE_266939 Bool)) (= (= BOUND_VARIABLE_266938 BOUND_VARIABLE_266939) (ll_947 BOUND_VARIABLE_266938 BOUND_VARIABLE_266939))))) (let ((_let_19024 (forall ((BOUND_VARIABLE_266928 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266929 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266928 (@ tptp.product_fst_int_int BOUND_VARIABLE_266929)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266929)) (ll_946 BOUND_VARIABLE_266928 BOUND_VARIABLE_266929))))) (let ((_let_19025 (forall ((BOUND_VARIABLE_266921 Bool) (BOUND_VARIABLE_266922 Bool)) (= (= BOUND_VARIABLE_266921 BOUND_VARIABLE_266922) (ll_945 BOUND_VARIABLE_266921 BOUND_VARIABLE_266922))))) (let ((_let_19026 (forall ((BOUND_VARIABLE_266911 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266912 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266911 (@ tptp.product_fst_int_int BOUND_VARIABLE_266912)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266912)) (ll_944 BOUND_VARIABLE_266911 BOUND_VARIABLE_266912))))) (let ((_let_19027 (forall ((BOUND_VARIABLE_266904 Bool) (BOUND_VARIABLE_266905 Bool)) (= (= BOUND_VARIABLE_266904 BOUND_VARIABLE_266905) (ll_943 BOUND_VARIABLE_266904 BOUND_VARIABLE_266905))))) (let ((_let_19028 (forall ((BOUND_VARIABLE_266897 Bool) (BOUND_VARIABLE_266898 Bool)) (= (= BOUND_VARIABLE_266897 BOUND_VARIABLE_266898) (ll_942 BOUND_VARIABLE_266897 BOUND_VARIABLE_266898))))) (let ((_let_19029 (forall ((BOUND_VARIABLE_266890 Bool) (BOUND_VARIABLE_266891 Bool)) (= (= BOUND_VARIABLE_266890 BOUND_VARIABLE_266891) (ll_941 BOUND_VARIABLE_266890 BOUND_VARIABLE_266891))))) (let ((_let_19030 (forall ((BOUND_VARIABLE_266880 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266881 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266880 (@ tptp.product_fst_int_int BOUND_VARIABLE_266881)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266881)) (ll_940 BOUND_VARIABLE_266880 BOUND_VARIABLE_266881))))) (let ((_let_19031 (forall ((BOUND_VARIABLE_266870 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266871 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266870 (@ tptp.product_fst_int_int BOUND_VARIABLE_266871)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266871)) (ll_939 BOUND_VARIABLE_266870 BOUND_VARIABLE_266871))))) (let ((_let_19032 (forall ((BOUND_VARIABLE_266863 Bool) (BOUND_VARIABLE_266864 Bool)) (= (= BOUND_VARIABLE_266863 BOUND_VARIABLE_266864) (ll_938 BOUND_VARIABLE_266863 BOUND_VARIABLE_266864))))) (let ((_let_19033 (forall ((BOUND_VARIABLE_266853 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266854 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266853 (@ tptp.product_fst_int_int BOUND_VARIABLE_266854)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266854)) (ll_937 BOUND_VARIABLE_266853 BOUND_VARIABLE_266854))))) (let ((_let_19034 (forall ((BOUND_VARIABLE_266846 Bool) (BOUND_VARIABLE_266847 Bool)) (= (= BOUND_VARIABLE_266846 BOUND_VARIABLE_266847) (ll_936 BOUND_VARIABLE_266846 BOUND_VARIABLE_266847))))) (let ((_let_19035 (forall ((BOUND_VARIABLE_266836 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266837 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266836 (@ tptp.product_fst_int_int BOUND_VARIABLE_266837)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266837)) (ll_935 BOUND_VARIABLE_266836 BOUND_VARIABLE_266837))))) (let ((_let_19036 (forall ((BOUND_VARIABLE_266829 Bool) (BOUND_VARIABLE_266830 Bool)) (= (= BOUND_VARIABLE_266829 BOUND_VARIABLE_266830) (ll_934 BOUND_VARIABLE_266829 BOUND_VARIABLE_266830))))) (let ((_let_19037 (forall ((BOUND_VARIABLE_266813 tptp.set_int) (BOUND_VARIABLE_266814 tptp.product_prod_int_int)) (= (ll_933 BOUND_VARIABLE_266813 BOUND_VARIABLE_266814) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_266814)) (@ (@ tptp.image_8635204845542730022nt_int ll_3321) BOUND_VARIABLE_266813))))))) (let ((_let_19038 (forall ((BOUND_VARIABLE_266797 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_266798 tptp.produc3843707927480180839at_nat)) (= (ll_932 BOUND_VARIABLE_266797 BOUND_VARIABLE_266798) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_266798)) (@ (@ tptp.image_6898982319499645995at_nat ll_3320) BOUND_VARIABLE_266797))))))) (let ((_let_19039 (forall ((BOUND_VARIABLE_266781 tptp.set_int) (BOUND_VARIABLE_266782 tptp.product_prod_int_int)) (= (ll_931 BOUND_VARIABLE_266781 BOUND_VARIABLE_266782) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_266782)) (@ (@ tptp.image_8635204845542730022nt_int ll_3321) BOUND_VARIABLE_266781))))))) (let ((_let_19040 (forall ((BOUND_VARIABLE_266765 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_266766 tptp.produc3843707927480180839at_nat)) (= (ll_930 BOUND_VARIABLE_266765 BOUND_VARIABLE_266766) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_266766)) (@ (@ tptp.image_6898982319499645995at_nat ll_3320) BOUND_VARIABLE_266765))))))) (let ((_let_19041 (forall ((BOUND_VARIABLE_266749 tptp.set_int) (BOUND_VARIABLE_266750 tptp.product_prod_int_int)) (= (ll_929 BOUND_VARIABLE_266749 BOUND_VARIABLE_266750) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_266750)) (@ (@ tptp.image_8635204845542730022nt_int ll_3321) BOUND_VARIABLE_266749))))))) (let ((_let_19042 (forall ((BOUND_VARIABLE_266733 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_266734 tptp.produc3843707927480180839at_nat)) (= (ll_928 BOUND_VARIABLE_266733 BOUND_VARIABLE_266734) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_266734)) (@ (@ tptp.image_6898982319499645995at_nat ll_3320) BOUND_VARIABLE_266733))))))) (let ((_let_19043 (forall ((BOUND_VARIABLE_266715 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266716 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_266717 tptp.int) (BOUND_VARIABLE_266718 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ tptp.conversep_int_int BOUND_VARIABLE_266715) BOUND_VARIABLE_266717) B4)) (not (@ (@ BOUND_VARIABLE_266716 B4) BOUND_VARIABLE_266718))))) (ll_927 BOUND_VARIABLE_266715 BOUND_VARIABLE_266716 BOUND_VARIABLE_266717 BOUND_VARIABLE_266718))))) (let ((_let_19044 (forall ((BOUND_VARIABLE_266688 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266689 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266690 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266691 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_266692 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_266693 tptp.int) (BOUND_VARIABLE_266694 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ tptp.conversep_int_int (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o BOUND_VARIABLE_266690) BOUND_VARIABLE_266688) BOUND_VARIABLE_266689)) BOUND_VARIABLE_266693) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi699694178825965831eger_o BOUND_VARIABLE_266690) BOUND_VARIABLE_266691) BOUND_VARIABLE_266692) B4) BOUND_VARIABLE_266694))))) (ll_926 BOUND_VARIABLE_266688 BOUND_VARIABLE_266689 BOUND_VARIABLE_266690 BOUND_VARIABLE_266691 BOUND_VARIABLE_266692 BOUND_VARIABLE_266693 BOUND_VARIABLE_266694))))) (let ((_let_19045 (forall ((BOUND_VARIABLE_266670 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266671 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_266672 tptp.int) (BOUND_VARIABLE_266673 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ tptp.conversep_int_int BOUND_VARIABLE_266670) BOUND_VARIABLE_266672) B4)) (not (@ (@ BOUND_VARIABLE_266671 B4) BOUND_VARIABLE_266673))))) (ll_925 BOUND_VARIABLE_266670 BOUND_VARIABLE_266671 BOUND_VARIABLE_266672 BOUND_VARIABLE_266673))))) (let ((_let_19046 (forall ((BOUND_VARIABLE_266643 (-> tptp.product_prod_nat_nat tptp.int)) (BOUND_VARIABLE_266644 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266645 (-> tptp.product_prod_nat_nat tptp.int)) (BOUND_VARIABLE_266646 (-> tptp.int tptp.code_integer)) (BOUND_VARIABLE_266647 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_266648 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266649 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ tptp.conver6965824823119931701at_nat (@ (@ (@ tptp.bNF_vi2682369418337388893_int_o BOUND_VARIABLE_266645) BOUND_VARIABLE_266643) BOUND_VARIABLE_266644)) BOUND_VARIABLE_266648) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi33923956287962137eger_o BOUND_VARIABLE_266645) BOUND_VARIABLE_266646) BOUND_VARIABLE_266647) B4) BOUND_VARIABLE_266649))))) (ll_924 BOUND_VARIABLE_266643 BOUND_VARIABLE_266644 BOUND_VARIABLE_266645 BOUND_VARIABLE_266646 BOUND_VARIABLE_266647 BOUND_VARIABLE_266648 BOUND_VARIABLE_266649))))) (let ((_let_19047 (forall ((BOUND_VARIABLE_266625 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_266626 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_266627 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266628 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ tptp.conver6965824823119931701at_nat BOUND_VARIABLE_266625) BOUND_VARIABLE_266627) B4)) (not (@ (@ BOUND_VARIABLE_266626 B4) BOUND_VARIABLE_266628))))) (ll_923 BOUND_VARIABLE_266625 BOUND_VARIABLE_266626 BOUND_VARIABLE_266627 BOUND_VARIABLE_266628))))) (let ((_let_19048 (forall ((BOUND_VARIABLE_266547 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_266548 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_266549 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_266550 (-> tptp.code_integer tptp.int)) (BOUND_VARIABLE_266551 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_266552 tptp.int) (BOUND_VARIABLE_266553 tptp.code_integer)) (= (ll_922 BOUND_VARIABLE_266547 BOUND_VARIABLE_266548 BOUND_VARIABLE_266549 BOUND_VARIABLE_266550 BOUND_VARIABLE_266551 BOUND_VARIABLE_266552 BOUND_VARIABLE_266553) (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ tptp.conversep_int_int (@ (@ (@ ll_3324 BOUND_VARIABLE_266549) BOUND_VARIABLE_266547) BOUND_VARIABLE_266548)) BOUND_VARIABLE_266552) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o BOUND_VARIABLE_266549) BOUND_VARIABLE_266550) BOUND_VARIABLE_266551) B4) BOUND_VARIABLE_266553))))))))) (let ((_let_19049 (forall ((BOUND_VARIABLE_266541 tptp.nat) (BOUND_VARIABLE_266542 tptp.nat)) (ll_921 BOUND_VARIABLE_266541 BOUND_VARIABLE_266542)))) (let ((_let_19050 (forall ((BOUND_VARIABLE_266523 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_266524 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_266525 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266526 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ tptp.conver6965824823119931701at_nat BOUND_VARIABLE_266523) BOUND_VARIABLE_266525) B4)) (not (@ (@ BOUND_VARIABLE_266524 B4) BOUND_VARIABLE_266526))))) (ll_920 BOUND_VARIABLE_266523 BOUND_VARIABLE_266524 BOUND_VARIABLE_266525 BOUND_VARIABLE_266526))))) (let ((_let_19051 (forall ((BOUND_VARIABLE_266496 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_266497 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_266498 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_266499 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266500 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_266501 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266502 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ tptp.conver6965824823119931701at_nat (@ (@ (@ tptp.bNF_vi763171854521451549_nat_o BOUND_VARIABLE_266498) BOUND_VARIABLE_266496) BOUND_VARIABLE_266497)) BOUND_VARIABLE_266501) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o BOUND_VARIABLE_266498) BOUND_VARIABLE_266499) BOUND_VARIABLE_266500) B4) BOUND_VARIABLE_266502))))) (ll_919 BOUND_VARIABLE_266496 BOUND_VARIABLE_266497 BOUND_VARIABLE_266498 BOUND_VARIABLE_266499 BOUND_VARIABLE_266500 BOUND_VARIABLE_266501 BOUND_VARIABLE_266502))))) (let ((_let_19052 (forall ((BOUND_VARIABLE_266486 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_266487 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266486 (@ tptp.product_fst_int_int BOUND_VARIABLE_266487)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266487)) (ll_918 BOUND_VARIABLE_266486 BOUND_VARIABLE_266487))))) (let ((_let_19053 (forall ((BOUND_VARIABLE_266473 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266474 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266475 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_266473 (@ tptp.product_fst_int_int BOUND_VARIABLE_266475))) (@ BOUND_VARIABLE_266474 (@ tptp.product_snd_int_int BOUND_VARIABLE_266475))) (ll_917 BOUND_VARIABLE_266473 BOUND_VARIABLE_266474 BOUND_VARIABLE_266475))))) (let ((_let_19054 (forall ((BOUND_VARIABLE_266459 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_266460 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266461 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266462 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266459 (@ BOUND_VARIABLE_266460 (@ tptp.product_fst_int_int BOUND_VARIABLE_266462))) (@ BOUND_VARIABLE_266461 (@ tptp.product_snd_int_int BOUND_VARIABLE_266462))) (ll_916 BOUND_VARIABLE_266459 BOUND_VARIABLE_266460 BOUND_VARIABLE_266461 BOUND_VARIABLE_266462))))) (let ((_let_19055 (forall ((BOUND_VARIABLE_266449 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266450 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266449 (@ tptp.product_fst_int_int BOUND_VARIABLE_266450)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266450)) (ll_915 BOUND_VARIABLE_266449 BOUND_VARIABLE_266450))))) (let ((_let_19056 (forall ((BOUND_VARIABLE_266436 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266437 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266438 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_266436 (@ tptp.product_fst_int_int BOUND_VARIABLE_266438))) (@ BOUND_VARIABLE_266437 (@ tptp.product_snd_int_int BOUND_VARIABLE_266438))) (ll_914 BOUND_VARIABLE_266436 BOUND_VARIABLE_266437 BOUND_VARIABLE_266438))))) (let ((_let_19057 (forall ((BOUND_VARIABLE_266422 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_266423 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266424 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266425 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266422 (@ BOUND_VARIABLE_266423 (@ tptp.product_fst_int_int BOUND_VARIABLE_266425))) (@ BOUND_VARIABLE_266424 (@ tptp.product_snd_int_int BOUND_VARIABLE_266425))) (ll_913 BOUND_VARIABLE_266422 BOUND_VARIABLE_266423 BOUND_VARIABLE_266424 BOUND_VARIABLE_266425))))) (let ((_let_19058 (forall ((BOUND_VARIABLE_266412 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_266413 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266412 (@ tptp.product_fst_int_int BOUND_VARIABLE_266413)) (@ tptp.product_snd_int_int BOUND_VARIABLE_266413)) (ll_912 BOUND_VARIABLE_266412 BOUND_VARIABLE_266413))))) (let ((_let_19059 (forall ((BOUND_VARIABLE_266399 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266400 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266401 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_266399 (@ tptp.product_fst_int_int BOUND_VARIABLE_266401))) (@ BOUND_VARIABLE_266400 (@ tptp.product_snd_int_int BOUND_VARIABLE_266401))) (ll_911 BOUND_VARIABLE_266399 BOUND_VARIABLE_266400 BOUND_VARIABLE_266401))))) (let ((_let_19060 (forall ((BOUND_VARIABLE_266385 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_266386 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266387 (-> tptp.int tptp.int)) (BOUND_VARIABLE_266388 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_266385 (@ BOUND_VARIABLE_266386 (@ tptp.product_fst_int_int BOUND_VARIABLE_266388))) (@ BOUND_VARIABLE_266387 (@ tptp.product_snd_int_int BOUND_VARIABLE_266388))) (ll_910 BOUND_VARIABLE_266385 BOUND_VARIABLE_266386 BOUND_VARIABLE_266387 BOUND_VARIABLE_266388))))) (let ((_let_19061 (forall ((BOUND_VARIABLE_266367 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_266368 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266369 tptp.product_prod_nat_nat)) (= (ll_909 BOUND_VARIABLE_266367 BOUND_VARIABLE_266368 BOUND_VARIABLE_266369) (@ (@ (@ BOUND_VARIABLE_266367 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_266368)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_266368)) BOUND_VARIABLE_266369))))) (let ((_let_19062 (forall ((BOUND_VARIABLE_266344 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_266345 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_266346 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_266347 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266348 tptp.product_prod_nat_nat)) (= (ll_908 BOUND_VARIABLE_266344 BOUND_VARIABLE_266345 BOUND_VARIABLE_266346 BOUND_VARIABLE_266347 BOUND_VARIABLE_266348) (@ (@ (@ BOUND_VARIABLE_266344 (@ BOUND_VARIABLE_266345 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_266347))) (@ BOUND_VARIABLE_266346 (@ tptp.product_snd_nat_nat BOUND_VARIABLE_266347))) BOUND_VARIABLE_266348))))) (let ((_let_19063 (forall ((BOUND_VARIABLE_266326 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_266327 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266328 tptp.product_prod_nat_nat)) (= (ll_907 BOUND_VARIABLE_266326 BOUND_VARIABLE_266327 BOUND_VARIABLE_266328) (@ (@ (@ BOUND_VARIABLE_266326 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_266327)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_266327)) BOUND_VARIABLE_266328))))) (let ((_let_19064 (forall ((BOUND_VARIABLE_266303 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_266304 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_266305 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_266306 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266307 tptp.product_prod_nat_nat)) (= (ll_906 BOUND_VARIABLE_266303 BOUND_VARIABLE_266304 BOUND_VARIABLE_266305 BOUND_VARIABLE_266306 BOUND_VARIABLE_266307) (@ (@ (@ BOUND_VARIABLE_266303 (@ BOUND_VARIABLE_266304 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_266306))) (@ BOUND_VARIABLE_266305 (@ tptp.product_snd_nat_nat BOUND_VARIABLE_266306))) BOUND_VARIABLE_266307))))) (let ((_let_19065 (forall ((BOUND_VARIABLE_266291 tptp.int) (BOUND_VARIABLE_266292 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266293 tptp.int) (BOUND_VARIABLE_266294 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266292 BOUND_VARIABLE_266291) (@ (@ BOUND_VARIABLE_266292 BOUND_VARIABLE_266293) BOUND_VARIABLE_266294)) (ll_905 BOUND_VARIABLE_266291 BOUND_VARIABLE_266292 BOUND_VARIABLE_266293 BOUND_VARIABLE_266294))))) (let ((_let_19066 (forall ((BOUND_VARIABLE_266279 tptp.int) (BOUND_VARIABLE_266280 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266281 tptp.int) (BOUND_VARIABLE_266282 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266280 BOUND_VARIABLE_266279) (@ (@ BOUND_VARIABLE_266280 BOUND_VARIABLE_266281) BOUND_VARIABLE_266282)) (ll_904 BOUND_VARIABLE_266279 BOUND_VARIABLE_266280 BOUND_VARIABLE_266281 BOUND_VARIABLE_266282))))) (let ((_let_19067 (forall ((BOUND_VARIABLE_266267 tptp.int) (BOUND_VARIABLE_266268 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266269 tptp.int) (BOUND_VARIABLE_266270 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266268 BOUND_VARIABLE_266267) (@ (@ BOUND_VARIABLE_266268 BOUND_VARIABLE_266269) BOUND_VARIABLE_266270)) (ll_903 BOUND_VARIABLE_266267 BOUND_VARIABLE_266268 BOUND_VARIABLE_266269 BOUND_VARIABLE_266270))))) (let ((_let_19068 (forall ((BOUND_VARIABLE_266255 tptp.int) (BOUND_VARIABLE_266256 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266257 tptp.int) (BOUND_VARIABLE_266258 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266256 BOUND_VARIABLE_266255) (@ (@ BOUND_VARIABLE_266256 BOUND_VARIABLE_266257) BOUND_VARIABLE_266258)) (ll_902 BOUND_VARIABLE_266255 BOUND_VARIABLE_266256 BOUND_VARIABLE_266257 BOUND_VARIABLE_266258))))) (let ((_let_19069 (forall ((BOUND_VARIABLE_266243 tptp.nat) (BOUND_VARIABLE_266244 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266245 tptp.nat) (BOUND_VARIABLE_266246 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266244 BOUND_VARIABLE_266243) (@ (@ BOUND_VARIABLE_266244 BOUND_VARIABLE_266245) BOUND_VARIABLE_266246)) (ll_901 BOUND_VARIABLE_266243 BOUND_VARIABLE_266244 BOUND_VARIABLE_266245 BOUND_VARIABLE_266246))))) (let ((_let_19070 (forall ((BOUND_VARIABLE_266231 tptp.nat) (BOUND_VARIABLE_266232 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266233 tptp.nat) (BOUND_VARIABLE_266234 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266232 BOUND_VARIABLE_266231) (@ (@ BOUND_VARIABLE_266232 BOUND_VARIABLE_266233) BOUND_VARIABLE_266234)) (ll_900 BOUND_VARIABLE_266231 BOUND_VARIABLE_266232 BOUND_VARIABLE_266233 BOUND_VARIABLE_266234))))) (let ((_let_19071 (forall ((BOUND_VARIABLE_266219 tptp.nat) (BOUND_VARIABLE_266220 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266221 tptp.nat) (BOUND_VARIABLE_266222 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266220 BOUND_VARIABLE_266219) (@ (@ BOUND_VARIABLE_266220 BOUND_VARIABLE_266221) BOUND_VARIABLE_266222)) (ll_899 BOUND_VARIABLE_266219 BOUND_VARIABLE_266220 BOUND_VARIABLE_266221 BOUND_VARIABLE_266222))))) (let ((_let_19072 (forall ((BOUND_VARIABLE_266207 tptp.nat) (BOUND_VARIABLE_266208 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266209 tptp.nat) (BOUND_VARIABLE_266210 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266208 BOUND_VARIABLE_266207) (@ (@ BOUND_VARIABLE_266208 BOUND_VARIABLE_266209) BOUND_VARIABLE_266210)) (ll_898 BOUND_VARIABLE_266207 BOUND_VARIABLE_266208 BOUND_VARIABLE_266209 BOUND_VARIABLE_266210))))) (let ((_let_19073 (forall ((BOUND_VARIABLE_266195 Bool) (BOUND_VARIABLE_266196 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_266197 Bool) (BOUND_VARIABLE_266198 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266196 BOUND_VARIABLE_266195) (@ (@ BOUND_VARIABLE_266196 BOUND_VARIABLE_266197) BOUND_VARIABLE_266198)) (ll_897 BOUND_VARIABLE_266195 BOUND_VARIABLE_266196 BOUND_VARIABLE_266197 BOUND_VARIABLE_266198))))) (let ((_let_19074 (forall ((BOUND_VARIABLE_266183 Bool) (BOUND_VARIABLE_266184 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_266185 Bool) (BOUND_VARIABLE_266186 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266184 BOUND_VARIABLE_266183) (@ (@ BOUND_VARIABLE_266184 BOUND_VARIABLE_266185) BOUND_VARIABLE_266186)) (ll_896 BOUND_VARIABLE_266183 BOUND_VARIABLE_266184 BOUND_VARIABLE_266185 BOUND_VARIABLE_266186))))) (let ((_let_19075 (forall ((BOUND_VARIABLE_266171 Bool) (BOUND_VARIABLE_266172 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_266173 Bool) (BOUND_VARIABLE_266174 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266172 BOUND_VARIABLE_266171) (@ (@ BOUND_VARIABLE_266172 BOUND_VARIABLE_266173) BOUND_VARIABLE_266174)) (ll_895 BOUND_VARIABLE_266171 BOUND_VARIABLE_266172 BOUND_VARIABLE_266173 BOUND_VARIABLE_266174))))) (let ((_let_19076 (forall ((BOUND_VARIABLE_266159 Bool) (BOUND_VARIABLE_266160 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_266161 Bool) (BOUND_VARIABLE_266162 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266160 BOUND_VARIABLE_266159) (@ (@ BOUND_VARIABLE_266160 BOUND_VARIABLE_266161) BOUND_VARIABLE_266162)) (ll_894 BOUND_VARIABLE_266159 BOUND_VARIABLE_266160 BOUND_VARIABLE_266161 BOUND_VARIABLE_266162))))) (let ((_let_19077 (forall ((BOUND_VARIABLE_266147 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266148 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266149 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266150 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266148 BOUND_VARIABLE_266147) (@ (@ BOUND_VARIABLE_266148 BOUND_VARIABLE_266149) BOUND_VARIABLE_266150)) (ll_893 BOUND_VARIABLE_266147 BOUND_VARIABLE_266148 BOUND_VARIABLE_266149 BOUND_VARIABLE_266150))))) (let ((_let_19078 (forall ((BOUND_VARIABLE_266135 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266136 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266137 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266138 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266136 BOUND_VARIABLE_266135) (@ (@ BOUND_VARIABLE_266136 BOUND_VARIABLE_266137) BOUND_VARIABLE_266138)) (ll_892 BOUND_VARIABLE_266135 BOUND_VARIABLE_266136 BOUND_VARIABLE_266137 BOUND_VARIABLE_266138))))) (let ((_let_19079 (forall ((BOUND_VARIABLE_266123 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266124 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266125 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266126 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266124 BOUND_VARIABLE_266123) (@ (@ BOUND_VARIABLE_266124 BOUND_VARIABLE_266125) BOUND_VARIABLE_266126)) (ll_891 BOUND_VARIABLE_266123 BOUND_VARIABLE_266124 BOUND_VARIABLE_266125 BOUND_VARIABLE_266126))))) (let ((_let_19080 (forall ((BOUND_VARIABLE_266111 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266112 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266113 tptp.product_prod_nat_nat) (BOUND_VARIABLE_266114 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266112 BOUND_VARIABLE_266111) (@ (@ BOUND_VARIABLE_266112 BOUND_VARIABLE_266113) BOUND_VARIABLE_266114)) (ll_890 BOUND_VARIABLE_266111 BOUND_VARIABLE_266112 BOUND_VARIABLE_266113 BOUND_VARIABLE_266114))))) (let ((_let_19081 (forall ((BOUND_VARIABLE_266099 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266100 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266101 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266102 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266100 BOUND_VARIABLE_266099) (@ (@ BOUND_VARIABLE_266100 BOUND_VARIABLE_266101) BOUND_VARIABLE_266102)) (ll_889 BOUND_VARIABLE_266099 BOUND_VARIABLE_266100 BOUND_VARIABLE_266101 BOUND_VARIABLE_266102))))) (let ((_let_19082 (forall ((BOUND_VARIABLE_266087 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266088 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266089 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266090 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266088 BOUND_VARIABLE_266087) (@ (@ BOUND_VARIABLE_266088 BOUND_VARIABLE_266089) BOUND_VARIABLE_266090)) (ll_888 BOUND_VARIABLE_266087 BOUND_VARIABLE_266088 BOUND_VARIABLE_266089 BOUND_VARIABLE_266090))))) (let ((_let_19083 (forall ((BOUND_VARIABLE_266075 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266076 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266077 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266078 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266076 BOUND_VARIABLE_266075) (@ (@ BOUND_VARIABLE_266076 BOUND_VARIABLE_266077) BOUND_VARIABLE_266078)) (ll_887 BOUND_VARIABLE_266075 BOUND_VARIABLE_266076 BOUND_VARIABLE_266077 BOUND_VARIABLE_266078))))) (let ((_let_19084 (forall ((BOUND_VARIABLE_266063 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266064 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_266065 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_266066 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266064 BOUND_VARIABLE_266063) (@ (@ BOUND_VARIABLE_266064 BOUND_VARIABLE_266065) BOUND_VARIABLE_266066)) (ll_886 BOUND_VARIABLE_266063 BOUND_VARIABLE_266064 BOUND_VARIABLE_266065 BOUND_VARIABLE_266066))))) (let ((_let_19085 (forall ((BOUND_VARIABLE_266051 tptp.int) (BOUND_VARIABLE_266052 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266053 tptp.int) (BOUND_VARIABLE_266054 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266052 BOUND_VARIABLE_266051) (@ (@ BOUND_VARIABLE_266052 BOUND_VARIABLE_266053) BOUND_VARIABLE_266054)) (ll_885 BOUND_VARIABLE_266051 BOUND_VARIABLE_266052 BOUND_VARIABLE_266053 BOUND_VARIABLE_266054))))) (let ((_let_19086 (forall ((BOUND_VARIABLE_266039 tptp.int) (BOUND_VARIABLE_266040 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266041 tptp.int) (BOUND_VARIABLE_266042 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266040 BOUND_VARIABLE_266039) (@ (@ BOUND_VARIABLE_266040 BOUND_VARIABLE_266041) BOUND_VARIABLE_266042)) (ll_884 BOUND_VARIABLE_266039 BOUND_VARIABLE_266040 BOUND_VARIABLE_266041 BOUND_VARIABLE_266042))))) (let ((_let_19087 (forall ((BOUND_VARIABLE_266025 tptp.int) (BOUND_VARIABLE_266026 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266027 tptp.int) (BOUND_VARIABLE_266028 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_266029 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266026 BOUND_VARIABLE_266025) (@ (@ BOUND_VARIABLE_266026 BOUND_VARIABLE_266027) (@ BOUND_VARIABLE_266028 BOUND_VARIABLE_266029))) (ll_883 BOUND_VARIABLE_266025 BOUND_VARIABLE_266026 BOUND_VARIABLE_266027 BOUND_VARIABLE_266028 BOUND_VARIABLE_266029))))) (let ((_let_19088 (forall ((BOUND_VARIABLE_266011 tptp.int) (BOUND_VARIABLE_266012 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_266013 tptp.int) (BOUND_VARIABLE_266014 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_266015 tptp.nat)) (= (@ (@ BOUND_VARIABLE_266012 BOUND_VARIABLE_266011) (@ (@ BOUND_VARIABLE_266012 BOUND_VARIABLE_266013) (@ BOUND_VARIABLE_266014 BOUND_VARIABLE_266015))) (ll_882 BOUND_VARIABLE_266011 BOUND_VARIABLE_266012 BOUND_VARIABLE_266013 BOUND_VARIABLE_266014 BOUND_VARIABLE_266015))))) (let ((_let_19089 (forall ((BOUND_VARIABLE_265997 tptp.int) (BOUND_VARIABLE_265998 (-> tptp.int Bool Bool)) (BOUND_VARIABLE_265999 tptp.int) (BOUND_VARIABLE_266000 (-> tptp.nat Bool)) (BOUND_VARIABLE_266001 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265998 BOUND_VARIABLE_265997) (@ (@ BOUND_VARIABLE_265998 BOUND_VARIABLE_265999) (@ BOUND_VARIABLE_266000 BOUND_VARIABLE_266001))) (ll_881 BOUND_VARIABLE_265997 BOUND_VARIABLE_265998 BOUND_VARIABLE_265999 BOUND_VARIABLE_266000 BOUND_VARIABLE_266001))))) (let ((_let_19090 (forall ((BOUND_VARIABLE_265983 tptp.int) (BOUND_VARIABLE_265984 (-> tptp.int Bool Bool)) (BOUND_VARIABLE_265985 tptp.int) (BOUND_VARIABLE_265986 (-> tptp.nat Bool)) (BOUND_VARIABLE_265987 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265984 BOUND_VARIABLE_265983) (@ (@ BOUND_VARIABLE_265984 BOUND_VARIABLE_265985) (@ BOUND_VARIABLE_265986 BOUND_VARIABLE_265987))) (ll_880 BOUND_VARIABLE_265983 BOUND_VARIABLE_265984 BOUND_VARIABLE_265985 BOUND_VARIABLE_265986 BOUND_VARIABLE_265987))))) (let ((_let_19091 (forall ((BOUND_VARIABLE_265971 tptp.nat) (BOUND_VARIABLE_265972 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265973 tptp.nat) (BOUND_VARIABLE_265974 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265972 BOUND_VARIABLE_265971) (@ (@ BOUND_VARIABLE_265972 BOUND_VARIABLE_265973) BOUND_VARIABLE_265974)) (ll_879 BOUND_VARIABLE_265971 BOUND_VARIABLE_265972 BOUND_VARIABLE_265973 BOUND_VARIABLE_265974))))) (let ((_let_19092 (forall ((BOUND_VARIABLE_265959 tptp.nat) (BOUND_VARIABLE_265960 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265961 tptp.nat) (BOUND_VARIABLE_265962 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265960 BOUND_VARIABLE_265959) (@ (@ BOUND_VARIABLE_265960 BOUND_VARIABLE_265961) BOUND_VARIABLE_265962)) (ll_878 BOUND_VARIABLE_265959 BOUND_VARIABLE_265960 BOUND_VARIABLE_265961 BOUND_VARIABLE_265962))))) (let ((_let_19093 (forall ((BOUND_VARIABLE_265945 tptp.nat) (BOUND_VARIABLE_265946 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265947 tptp.nat) (BOUND_VARIABLE_265948 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265949 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265946 BOUND_VARIABLE_265945) (@ (@ BOUND_VARIABLE_265946 BOUND_VARIABLE_265947) (@ BOUND_VARIABLE_265948 BOUND_VARIABLE_265949))) (ll_877 BOUND_VARIABLE_265945 BOUND_VARIABLE_265946 BOUND_VARIABLE_265947 BOUND_VARIABLE_265948 BOUND_VARIABLE_265949))))) (let ((_let_19094 (forall ((BOUND_VARIABLE_265931 tptp.nat) (BOUND_VARIABLE_265932 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265933 tptp.nat) (BOUND_VARIABLE_265934 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265935 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265932 BOUND_VARIABLE_265931) (@ (@ BOUND_VARIABLE_265932 BOUND_VARIABLE_265933) (@ BOUND_VARIABLE_265934 BOUND_VARIABLE_265935))) (ll_876 BOUND_VARIABLE_265931 BOUND_VARIABLE_265932 BOUND_VARIABLE_265933 BOUND_VARIABLE_265934 BOUND_VARIABLE_265935))))) (let ((_let_19095 (forall ((BOUND_VARIABLE_265917 tptp.nat) (BOUND_VARIABLE_265918 (-> tptp.nat Bool Bool)) (BOUND_VARIABLE_265919 tptp.nat) (BOUND_VARIABLE_265920 (-> tptp.nat Bool)) (BOUND_VARIABLE_265921 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265918 BOUND_VARIABLE_265917) (@ (@ BOUND_VARIABLE_265918 BOUND_VARIABLE_265919) (@ BOUND_VARIABLE_265920 BOUND_VARIABLE_265921))) (ll_875 BOUND_VARIABLE_265917 BOUND_VARIABLE_265918 BOUND_VARIABLE_265919 BOUND_VARIABLE_265920 BOUND_VARIABLE_265921))))) (let ((_let_19096 (forall ((BOUND_VARIABLE_265903 tptp.nat) (BOUND_VARIABLE_265904 (-> tptp.nat Bool Bool)) (BOUND_VARIABLE_265905 tptp.nat) (BOUND_VARIABLE_265906 (-> tptp.nat Bool)) (BOUND_VARIABLE_265907 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265904 BOUND_VARIABLE_265903) (@ (@ BOUND_VARIABLE_265904 BOUND_VARIABLE_265905) (@ BOUND_VARIABLE_265906 BOUND_VARIABLE_265907))) (ll_874 BOUND_VARIABLE_265903 BOUND_VARIABLE_265904 BOUND_VARIABLE_265905 BOUND_VARIABLE_265906 BOUND_VARIABLE_265907))))) (let ((_let_19097 (forall ((BOUND_VARIABLE_265891 Bool) (BOUND_VARIABLE_265892 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265893 Bool) (BOUND_VARIABLE_265894 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265892 BOUND_VARIABLE_265891) (@ (@ BOUND_VARIABLE_265892 BOUND_VARIABLE_265893) BOUND_VARIABLE_265894)) (ll_873 BOUND_VARIABLE_265891 BOUND_VARIABLE_265892 BOUND_VARIABLE_265893 BOUND_VARIABLE_265894))))) (let ((_let_19098 (forall ((BOUND_VARIABLE_265879 Bool) (BOUND_VARIABLE_265880 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265881 Bool) (BOUND_VARIABLE_265882 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265880 BOUND_VARIABLE_265879) (@ (@ BOUND_VARIABLE_265880 BOUND_VARIABLE_265881) BOUND_VARIABLE_265882)) (ll_872 BOUND_VARIABLE_265879 BOUND_VARIABLE_265880 BOUND_VARIABLE_265881 BOUND_VARIABLE_265882))))) (let ((_let_19099 (forall ((BOUND_VARIABLE_265865 Bool) (BOUND_VARIABLE_265866 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265867 Bool) (BOUND_VARIABLE_265868 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265869 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265866 BOUND_VARIABLE_265865) (@ (@ BOUND_VARIABLE_265866 BOUND_VARIABLE_265867) (@ BOUND_VARIABLE_265868 BOUND_VARIABLE_265869))) (ll_871 BOUND_VARIABLE_265865 BOUND_VARIABLE_265866 BOUND_VARIABLE_265867 BOUND_VARIABLE_265868 BOUND_VARIABLE_265869))))) (let ((_let_19100 (forall ((BOUND_VARIABLE_265851 Bool) (BOUND_VARIABLE_265852 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265853 Bool) (BOUND_VARIABLE_265854 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265855 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265852 BOUND_VARIABLE_265851) (@ (@ BOUND_VARIABLE_265852 BOUND_VARIABLE_265853) (@ BOUND_VARIABLE_265854 BOUND_VARIABLE_265855))) (ll_870 BOUND_VARIABLE_265851 BOUND_VARIABLE_265852 BOUND_VARIABLE_265853 BOUND_VARIABLE_265854 BOUND_VARIABLE_265855))))) (let ((_let_19101 (forall ((BOUND_VARIABLE_265837 Bool) (BOUND_VARIABLE_265838 (-> Bool Bool Bool)) (BOUND_VARIABLE_265839 Bool) (BOUND_VARIABLE_265840 (-> tptp.nat Bool)) (BOUND_VARIABLE_265841 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265838 BOUND_VARIABLE_265837) (@ (@ BOUND_VARIABLE_265838 BOUND_VARIABLE_265839) (@ BOUND_VARIABLE_265840 BOUND_VARIABLE_265841))) (ll_869 BOUND_VARIABLE_265837 BOUND_VARIABLE_265838 BOUND_VARIABLE_265839 BOUND_VARIABLE_265840 BOUND_VARIABLE_265841))))) (let ((_let_19102 (forall ((BOUND_VARIABLE_265823 Bool) (BOUND_VARIABLE_265824 (-> Bool Bool Bool)) (BOUND_VARIABLE_265825 Bool) (BOUND_VARIABLE_265826 (-> tptp.nat Bool)) (BOUND_VARIABLE_265827 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265824 BOUND_VARIABLE_265823) (@ (@ BOUND_VARIABLE_265824 BOUND_VARIABLE_265825) (@ BOUND_VARIABLE_265826 BOUND_VARIABLE_265827))) (ll_868 BOUND_VARIABLE_265823 BOUND_VARIABLE_265824 BOUND_VARIABLE_265825 BOUND_VARIABLE_265826 BOUND_VARIABLE_265827))))) (let ((_let_19103 (forall ((BOUND_VARIABLE_265811 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265812 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265813 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265814 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265812 BOUND_VARIABLE_265811) (@ (@ BOUND_VARIABLE_265812 BOUND_VARIABLE_265813) BOUND_VARIABLE_265814)) (ll_867 BOUND_VARIABLE_265811 BOUND_VARIABLE_265812 BOUND_VARIABLE_265813 BOUND_VARIABLE_265814))))) (let ((_let_19104 (forall ((BOUND_VARIABLE_265799 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265800 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265801 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265802 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265800 BOUND_VARIABLE_265799) (@ (@ BOUND_VARIABLE_265800 BOUND_VARIABLE_265801) BOUND_VARIABLE_265802)) (ll_866 BOUND_VARIABLE_265799 BOUND_VARIABLE_265800 BOUND_VARIABLE_265801 BOUND_VARIABLE_265802))))) (let ((_let_19105 (forall ((BOUND_VARIABLE_265785 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265786 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265787 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265788 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265789 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265786 BOUND_VARIABLE_265785) (@ (@ BOUND_VARIABLE_265786 BOUND_VARIABLE_265787) (@ BOUND_VARIABLE_265788 BOUND_VARIABLE_265789))) (ll_865 BOUND_VARIABLE_265785 BOUND_VARIABLE_265786 BOUND_VARIABLE_265787 BOUND_VARIABLE_265788 BOUND_VARIABLE_265789))))) (let ((_let_19106 (forall ((BOUND_VARIABLE_265771 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265772 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265773 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265774 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265775 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265772 BOUND_VARIABLE_265771) (@ (@ BOUND_VARIABLE_265772 BOUND_VARIABLE_265773) (@ BOUND_VARIABLE_265774 BOUND_VARIABLE_265775))) (ll_864 BOUND_VARIABLE_265771 BOUND_VARIABLE_265772 BOUND_VARIABLE_265773 BOUND_VARIABLE_265774 BOUND_VARIABLE_265775))))) (let ((_let_19107 (forall ((BOUND_VARIABLE_265757 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265758 (-> tptp.product_prod_nat_nat Bool Bool)) (BOUND_VARIABLE_265759 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265760 (-> tptp.nat Bool)) (BOUND_VARIABLE_265761 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265758 BOUND_VARIABLE_265757) (@ (@ BOUND_VARIABLE_265758 BOUND_VARIABLE_265759) (@ BOUND_VARIABLE_265760 BOUND_VARIABLE_265761))) (ll_863 BOUND_VARIABLE_265757 BOUND_VARIABLE_265758 BOUND_VARIABLE_265759 BOUND_VARIABLE_265760 BOUND_VARIABLE_265761))))) (let ((_let_19108 (forall ((BOUND_VARIABLE_265743 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265744 (-> tptp.product_prod_nat_nat Bool Bool)) (BOUND_VARIABLE_265745 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265746 (-> tptp.nat Bool)) (BOUND_VARIABLE_265747 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265744 BOUND_VARIABLE_265743) (@ (@ BOUND_VARIABLE_265744 BOUND_VARIABLE_265745) (@ BOUND_VARIABLE_265746 BOUND_VARIABLE_265747))) (ll_862 BOUND_VARIABLE_265743 BOUND_VARIABLE_265744 BOUND_VARIABLE_265745 BOUND_VARIABLE_265746 BOUND_VARIABLE_265747))))) (let ((_let_19109 (forall ((BOUND_VARIABLE_265731 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265732 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265733 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265734 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265732 BOUND_VARIABLE_265731) (@ (@ BOUND_VARIABLE_265732 BOUND_VARIABLE_265733) BOUND_VARIABLE_265734)) (ll_861 BOUND_VARIABLE_265731 BOUND_VARIABLE_265732 BOUND_VARIABLE_265733 BOUND_VARIABLE_265734))))) (let ((_let_19110 (forall ((BOUND_VARIABLE_265719 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265720 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265721 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265722 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265720 BOUND_VARIABLE_265719) (@ (@ BOUND_VARIABLE_265720 BOUND_VARIABLE_265721) BOUND_VARIABLE_265722)) (ll_860 BOUND_VARIABLE_265719 BOUND_VARIABLE_265720 BOUND_VARIABLE_265721 BOUND_VARIABLE_265722))))) (let ((_let_19111 (forall ((BOUND_VARIABLE_265705 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265706 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265707 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265708 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265709 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265706 BOUND_VARIABLE_265705) (@ (@ BOUND_VARIABLE_265706 BOUND_VARIABLE_265707) (@ BOUND_VARIABLE_265708 BOUND_VARIABLE_265709))) (ll_859 BOUND_VARIABLE_265705 BOUND_VARIABLE_265706 BOUND_VARIABLE_265707 BOUND_VARIABLE_265708 BOUND_VARIABLE_265709))))) (let ((_let_19112 (forall ((BOUND_VARIABLE_265691 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265692 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265693 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265694 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265695 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265692 BOUND_VARIABLE_265691) (@ (@ BOUND_VARIABLE_265692 BOUND_VARIABLE_265693) (@ BOUND_VARIABLE_265694 BOUND_VARIABLE_265695))) (ll_858 BOUND_VARIABLE_265691 BOUND_VARIABLE_265692 BOUND_VARIABLE_265693 BOUND_VARIABLE_265694 BOUND_VARIABLE_265695))))) (let ((_let_19113 (forall ((BOUND_VARIABLE_265677 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265678 (-> tptp.produc3843707927480180839at_nat Bool Bool)) (BOUND_VARIABLE_265679 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265680 (-> tptp.nat Bool)) (BOUND_VARIABLE_265681 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265678 BOUND_VARIABLE_265677) (@ (@ BOUND_VARIABLE_265678 BOUND_VARIABLE_265679) (@ BOUND_VARIABLE_265680 BOUND_VARIABLE_265681))) (ll_857 BOUND_VARIABLE_265677 BOUND_VARIABLE_265678 BOUND_VARIABLE_265679 BOUND_VARIABLE_265680 BOUND_VARIABLE_265681))))) (let ((_let_19114 (forall ((BOUND_VARIABLE_265663 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265664 (-> tptp.produc3843707927480180839at_nat Bool Bool)) (BOUND_VARIABLE_265665 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265666 (-> tptp.nat Bool)) (BOUND_VARIABLE_265667 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265664 BOUND_VARIABLE_265663) (@ (@ BOUND_VARIABLE_265664 BOUND_VARIABLE_265665) (@ BOUND_VARIABLE_265666 BOUND_VARIABLE_265667))) (ll_856 BOUND_VARIABLE_265663 BOUND_VARIABLE_265664 BOUND_VARIABLE_265665 BOUND_VARIABLE_265666 BOUND_VARIABLE_265667))))) (let ((_let_19115 (forall ((BOUND_VARIABLE_265651 tptp.int) (BOUND_VARIABLE_265652 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_265653 tptp.int) (BOUND_VARIABLE_265654 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265652 BOUND_VARIABLE_265651) (@ (@ BOUND_VARIABLE_265652 BOUND_VARIABLE_265653) BOUND_VARIABLE_265654)) (ll_855 BOUND_VARIABLE_265651 BOUND_VARIABLE_265652 BOUND_VARIABLE_265653 BOUND_VARIABLE_265654))))) (let ((_let_19116 (forall ((BOUND_VARIABLE_265639 tptp.int) (BOUND_VARIABLE_265640 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_265641 tptp.int) (BOUND_VARIABLE_265642 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265640 BOUND_VARIABLE_265639) (@ (@ BOUND_VARIABLE_265640 BOUND_VARIABLE_265641) BOUND_VARIABLE_265642)) (ll_854 BOUND_VARIABLE_265639 BOUND_VARIABLE_265640 BOUND_VARIABLE_265641 BOUND_VARIABLE_265642))))) (let ((_let_19117 (forall ((BOUND_VARIABLE_265627 tptp.int) (BOUND_VARIABLE_265628 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_265629 tptp.int) (BOUND_VARIABLE_265630 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265628 BOUND_VARIABLE_265627) (@ (@ BOUND_VARIABLE_265628 BOUND_VARIABLE_265629) BOUND_VARIABLE_265630)) (ll_853 BOUND_VARIABLE_265627 BOUND_VARIABLE_265628 BOUND_VARIABLE_265629 BOUND_VARIABLE_265630))))) (let ((_let_19118 (forall ((BOUND_VARIABLE_265615 tptp.int) (BOUND_VARIABLE_265616 (-> tptp.int tptp.nat tptp.nat)) (BOUND_VARIABLE_265617 tptp.int) (BOUND_VARIABLE_265618 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265616 BOUND_VARIABLE_265615) (@ (@ BOUND_VARIABLE_265616 BOUND_VARIABLE_265617) BOUND_VARIABLE_265618)) (ll_852 BOUND_VARIABLE_265615 BOUND_VARIABLE_265616 BOUND_VARIABLE_265617 BOUND_VARIABLE_265618))))) (let ((_let_19119 (forall ((BOUND_VARIABLE_265603 tptp.nat) (BOUND_VARIABLE_265604 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265605 tptp.nat) (BOUND_VARIABLE_265606 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265604 BOUND_VARIABLE_265603) (@ (@ BOUND_VARIABLE_265604 BOUND_VARIABLE_265605) BOUND_VARIABLE_265606)) (ll_851 BOUND_VARIABLE_265603 BOUND_VARIABLE_265604 BOUND_VARIABLE_265605 BOUND_VARIABLE_265606))))) (let ((_let_19120 (forall ((BOUND_VARIABLE_265591 tptp.nat) (BOUND_VARIABLE_265592 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265593 tptp.nat) (BOUND_VARIABLE_265594 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265592 BOUND_VARIABLE_265591) (@ (@ BOUND_VARIABLE_265592 BOUND_VARIABLE_265593) BOUND_VARIABLE_265594)) (ll_850 BOUND_VARIABLE_265591 BOUND_VARIABLE_265592 BOUND_VARIABLE_265593 BOUND_VARIABLE_265594))))) (let ((_let_19121 (forall ((BOUND_VARIABLE_265579 tptp.nat) (BOUND_VARIABLE_265580 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265581 tptp.nat) (BOUND_VARIABLE_265582 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265580 BOUND_VARIABLE_265579) (@ (@ BOUND_VARIABLE_265580 BOUND_VARIABLE_265581) BOUND_VARIABLE_265582)) (ll_849 BOUND_VARIABLE_265579 BOUND_VARIABLE_265580 BOUND_VARIABLE_265581 BOUND_VARIABLE_265582))))) (let ((_let_19122 (forall ((BOUND_VARIABLE_265567 tptp.nat) (BOUND_VARIABLE_265568 (-> tptp.nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265569 tptp.nat) (BOUND_VARIABLE_265570 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265568 BOUND_VARIABLE_265567) (@ (@ BOUND_VARIABLE_265568 BOUND_VARIABLE_265569) BOUND_VARIABLE_265570)) (ll_848 BOUND_VARIABLE_265567 BOUND_VARIABLE_265568 BOUND_VARIABLE_265569 BOUND_VARIABLE_265570))))) (let ((_let_19123 (forall ((BOUND_VARIABLE_265555 Bool) (BOUND_VARIABLE_265556 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265557 Bool) (BOUND_VARIABLE_265558 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265556 BOUND_VARIABLE_265555) (@ (@ BOUND_VARIABLE_265556 BOUND_VARIABLE_265557) BOUND_VARIABLE_265558)) (ll_847 BOUND_VARIABLE_265555 BOUND_VARIABLE_265556 BOUND_VARIABLE_265557 BOUND_VARIABLE_265558))))) (let ((_let_19124 (forall ((BOUND_VARIABLE_265543 Bool) (BOUND_VARIABLE_265544 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265545 Bool) (BOUND_VARIABLE_265546 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265544 BOUND_VARIABLE_265543) (@ (@ BOUND_VARIABLE_265544 BOUND_VARIABLE_265545) BOUND_VARIABLE_265546)) (ll_846 BOUND_VARIABLE_265543 BOUND_VARIABLE_265544 BOUND_VARIABLE_265545 BOUND_VARIABLE_265546))))) (let ((_let_19125 (forall ((BOUND_VARIABLE_265531 Bool) (BOUND_VARIABLE_265532 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265533 Bool) (BOUND_VARIABLE_265534 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265532 BOUND_VARIABLE_265531) (@ (@ BOUND_VARIABLE_265532 BOUND_VARIABLE_265533) BOUND_VARIABLE_265534)) (ll_845 BOUND_VARIABLE_265531 BOUND_VARIABLE_265532 BOUND_VARIABLE_265533 BOUND_VARIABLE_265534))))) (let ((_let_19126 (forall ((BOUND_VARIABLE_265519 Bool) (BOUND_VARIABLE_265520 (-> Bool tptp.nat tptp.nat)) (BOUND_VARIABLE_265521 Bool) (BOUND_VARIABLE_265522 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265520 BOUND_VARIABLE_265519) (@ (@ BOUND_VARIABLE_265520 BOUND_VARIABLE_265521) BOUND_VARIABLE_265522)) (ll_844 BOUND_VARIABLE_265519 BOUND_VARIABLE_265520 BOUND_VARIABLE_265521 BOUND_VARIABLE_265522))))) (let ((_let_19127 (forall ((BOUND_VARIABLE_265507 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265508 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265509 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265510 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265508 BOUND_VARIABLE_265507) (@ (@ BOUND_VARIABLE_265508 BOUND_VARIABLE_265509) BOUND_VARIABLE_265510)) (ll_843 BOUND_VARIABLE_265507 BOUND_VARIABLE_265508 BOUND_VARIABLE_265509 BOUND_VARIABLE_265510))))) (let ((_let_19128 (forall ((BOUND_VARIABLE_265495 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265496 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265497 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265498 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265496 BOUND_VARIABLE_265495) (@ (@ BOUND_VARIABLE_265496 BOUND_VARIABLE_265497) BOUND_VARIABLE_265498)) (ll_842 BOUND_VARIABLE_265495 BOUND_VARIABLE_265496 BOUND_VARIABLE_265497 BOUND_VARIABLE_265498))))) (let ((_let_19129 (forall ((BOUND_VARIABLE_265483 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265484 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265485 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265486 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265484 BOUND_VARIABLE_265483) (@ (@ BOUND_VARIABLE_265484 BOUND_VARIABLE_265485) BOUND_VARIABLE_265486)) (ll_841 BOUND_VARIABLE_265483 BOUND_VARIABLE_265484 BOUND_VARIABLE_265485 BOUND_VARIABLE_265486))))) (let ((_let_19130 (forall ((BOUND_VARIABLE_265471 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265472 (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265473 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265474 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265472 BOUND_VARIABLE_265471) (@ (@ BOUND_VARIABLE_265472 BOUND_VARIABLE_265473) BOUND_VARIABLE_265474)) (ll_840 BOUND_VARIABLE_265471 BOUND_VARIABLE_265472 BOUND_VARIABLE_265473 BOUND_VARIABLE_265474))))) (let ((_let_19131 (forall ((BOUND_VARIABLE_265459 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265460 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265461 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265462 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265460 BOUND_VARIABLE_265459) (@ (@ BOUND_VARIABLE_265460 BOUND_VARIABLE_265461) BOUND_VARIABLE_265462)) (ll_839 BOUND_VARIABLE_265459 BOUND_VARIABLE_265460 BOUND_VARIABLE_265461 BOUND_VARIABLE_265462))))) (let ((_let_19132 (forall ((BOUND_VARIABLE_265447 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265448 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265449 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265450 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265448 BOUND_VARIABLE_265447) (@ (@ BOUND_VARIABLE_265448 BOUND_VARIABLE_265449) BOUND_VARIABLE_265450)) (ll_838 BOUND_VARIABLE_265447 BOUND_VARIABLE_265448 BOUND_VARIABLE_265449 BOUND_VARIABLE_265450))))) (let ((_let_19133 (forall ((BOUND_VARIABLE_265435 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265436 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265437 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265438 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265436 BOUND_VARIABLE_265435) (@ (@ BOUND_VARIABLE_265436 BOUND_VARIABLE_265437) BOUND_VARIABLE_265438)) (ll_837 BOUND_VARIABLE_265435 BOUND_VARIABLE_265436 BOUND_VARIABLE_265437 BOUND_VARIABLE_265438))))) (let ((_let_19134 (forall ((BOUND_VARIABLE_265423 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265424 (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (BOUND_VARIABLE_265425 tptp.produc3843707927480180839at_nat) (BOUND_VARIABLE_265426 tptp.nat)) (= (@ (@ BOUND_VARIABLE_265424 BOUND_VARIABLE_265423) (@ (@ BOUND_VARIABLE_265424 BOUND_VARIABLE_265425) BOUND_VARIABLE_265426)) (ll_836 BOUND_VARIABLE_265423 BOUND_VARIABLE_265424 BOUND_VARIABLE_265425 BOUND_VARIABLE_265426))))) (let ((_let_19135 (forall ((BOUND_VARIABLE_265412 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_265413 tptp.int) (BOUND_VARIABLE_265414 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_265413) BOUND_VARIABLE_265414)) BOUND_VARIABLE_265412) (ll_835 BOUND_VARIABLE_265412 BOUND_VARIABLE_265413 BOUND_VARIABLE_265414))))) (let ((_let_19136 (forall ((BOUND_VARIABLE_265401 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_265402 tptp.int) (BOUND_VARIABLE_265403 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_265402) BOUND_VARIABLE_265403)) BOUND_VARIABLE_265401) (ll_834 BOUND_VARIABLE_265401 BOUND_VARIABLE_265402 BOUND_VARIABLE_265403))))) (let ((_let_19137 (forall ((BOUND_VARIABLE_265390 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265391 tptp.nat) (BOUND_VARIABLE_265392 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_265391) BOUND_VARIABLE_265392)) BOUND_VARIABLE_265390) (ll_833 BOUND_VARIABLE_265390 BOUND_VARIABLE_265391 BOUND_VARIABLE_265392))))) (let ((_let_19138 (forall ((BOUND_VARIABLE_265379 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265380 tptp.nat) (BOUND_VARIABLE_265381 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_265380) BOUND_VARIABLE_265381)) BOUND_VARIABLE_265379) (ll_832 BOUND_VARIABLE_265379 BOUND_VARIABLE_265380 BOUND_VARIABLE_265381))))) (let ((_let_19139 (forall ((BOUND_VARIABLE_265368 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_265369 tptp.nat) (BOUND_VARIABLE_265370 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_265369) BOUND_VARIABLE_265370)) BOUND_VARIABLE_265368) (ll_831 BOUND_VARIABLE_265368 BOUND_VARIABLE_265369 BOUND_VARIABLE_265370))))) (let ((_let_19140 (forall ((BOUND_VARIABLE_265357 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_265358 tptp.nat) (BOUND_VARIABLE_265359 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_265358) BOUND_VARIABLE_265359)) BOUND_VARIABLE_265357) (ll_830 BOUND_VARIABLE_265357 BOUND_VARIABLE_265358 BOUND_VARIABLE_265359))))) (let ((_let_19141 (forall ((BOUND_VARIABLE_265346 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265347 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265348 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_265347) BOUND_VARIABLE_265348)) BOUND_VARIABLE_265346) (ll_829 BOUND_VARIABLE_265346 BOUND_VARIABLE_265347 BOUND_VARIABLE_265348))))) (let ((_let_19142 (forall ((BOUND_VARIABLE_265335 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265336 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_265337 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_265336) BOUND_VARIABLE_265337)) BOUND_VARIABLE_265335) (ll_828 BOUND_VARIABLE_265335 BOUND_VARIABLE_265336 BOUND_VARIABLE_265337))))) (let ((_let_19143 (forall ((BOUND_VARIABLE_265324 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_265325 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265326 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_265325) BOUND_VARIABLE_265326)) BOUND_VARIABLE_265324) (ll_827 BOUND_VARIABLE_265324 BOUND_VARIABLE_265325 BOUND_VARIABLE_265326))))) (let ((_let_19144 (forall ((BOUND_VARIABLE_265313 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_265314 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_265315 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_265314) BOUND_VARIABLE_265315)) BOUND_VARIABLE_265313) (ll_826 BOUND_VARIABLE_265313 BOUND_VARIABLE_265314 BOUND_VARIABLE_265315))))) (let ((_let_19145 (forall ((BOUND_VARIABLE_265303 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_265304 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_265303 (@ tptp.product_fst_int_int BOUND_VARIABLE_265304)) (@ tptp.product_snd_int_int BOUND_VARIABLE_265304)) (ll_825 BOUND_VARIABLE_265303 BOUND_VARIABLE_265304))))) (let ((_let_19146 (forall ((BOUND_VARIABLE_265293 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_265294 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_265293 (@ tptp.product_fst_int_int BOUND_VARIABLE_265294)) (@ tptp.product_snd_int_int BOUND_VARIABLE_265294)) (ll_824 BOUND_VARIABLE_265293 BOUND_VARIABLE_265294))))) (let ((_let_19147 (forall ((BOUND_VARIABLE_265283 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_265284 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_265283 (@ tptp.product_fst_int_int BOUND_VARIABLE_265284)) (@ tptp.product_snd_int_int BOUND_VARIABLE_265284)) (ll_823 BOUND_VARIABLE_265283 BOUND_VARIABLE_265284))))) (let ((_let_19148 (forall ((BOUND_VARIABLE_265265 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_265266 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265267 tptp.product_prod_nat_nat)) (= (ll_822 BOUND_VARIABLE_265265 BOUND_VARIABLE_265266 BOUND_VARIABLE_265267) (@ (@ (@ BOUND_VARIABLE_265265 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_265266)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_265266)) BOUND_VARIABLE_265267))))) (let ((_let_19149 (forall ((BOUND_VARIABLE_265247 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_265248 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265249 tptp.product_prod_nat_nat)) (= (ll_821 BOUND_VARIABLE_265247 BOUND_VARIABLE_265248 BOUND_VARIABLE_265249) (@ (@ (@ BOUND_VARIABLE_265247 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_265248)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_265248)) BOUND_VARIABLE_265249))))) (let ((_let_19150 (forall ((BOUND_VARIABLE_265237 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_265238 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_265237 (@ tptp.product_fst_int_int BOUND_VARIABLE_265238)) (@ tptp.product_snd_int_int BOUND_VARIABLE_265238)) (ll_820 BOUND_VARIABLE_265237 BOUND_VARIABLE_265238))))) (let ((_let_19151 (forall ((BOUND_VARIABLE_265227 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_265228 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_265227 (@ tptp.product_fst_int_int BOUND_VARIABLE_265228)) (@ tptp.product_snd_int_int BOUND_VARIABLE_265228)) (ll_819 BOUND_VARIABLE_265227 BOUND_VARIABLE_265228))))) (let ((_let_19152 (forall ((BOUND_VARIABLE_265217 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_265218 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_265217 (@ tptp.product_fst_int_int BOUND_VARIABLE_265218)) (@ tptp.product_snd_int_int BOUND_VARIABLE_265218)) (ll_818 BOUND_VARIABLE_265217 BOUND_VARIABLE_265218))))) (let ((_let_19153 (forall ((BOUND_VARIABLE_265199 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_265200 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265201 tptp.product_prod_nat_nat)) (= (ll_817 BOUND_VARIABLE_265199 BOUND_VARIABLE_265200 BOUND_VARIABLE_265201) (@ (@ (@ BOUND_VARIABLE_265199 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_265200)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_265200)) BOUND_VARIABLE_265201))))) (let ((_let_19154 (forall ((BOUND_VARIABLE_265181 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_265182 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265183 tptp.product_prod_nat_nat)) (= (ll_816 BOUND_VARIABLE_265181 BOUND_VARIABLE_265182 BOUND_VARIABLE_265183) (@ (@ (@ BOUND_VARIABLE_265181 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_265182)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_265182)) BOUND_VARIABLE_265183))))) (let ((_let_19155 (forall ((BOUND_VARIABLE_265163 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_265164 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265165 tptp.product_prod_nat_nat)) (= (ll_815 BOUND_VARIABLE_265163 BOUND_VARIABLE_265164 BOUND_VARIABLE_265165) (@ (@ (@ BOUND_VARIABLE_265163 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_265164)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_265164)) BOUND_VARIABLE_265165))))) (let ((_let_19156 (forall ((BOUND_VARIABLE_265145 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_265146 tptp.product_prod_nat_nat) (BOUND_VARIABLE_265147 tptp.product_prod_nat_nat)) (= (ll_814 BOUND_VARIABLE_265145 BOUND_VARIABLE_265146 BOUND_VARIABLE_265147) (@ (@ (@ BOUND_VARIABLE_265145 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_265146)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_265146)) BOUND_VARIABLE_265147))))) (let ((_let_19157 (forall ((BOUND_VARIABLE_265136 (-> tptp.nat Bool)) (BOUND_VARIABLE_265137 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_265138 tptp.product_prod_nat_nat)) (= (@ BOUND_VARIABLE_265136 (@ BOUND_VARIABLE_265137 BOUND_VARIABLE_265138)) (ll_813 BOUND_VARIABLE_265136 BOUND_VARIABLE_265137 BOUND_VARIABLE_265138))))) (let ((_let_19158 (forall ((BOUND_VARIABLE_265127 (-> Bool Bool)) (BOUND_VARIABLE_265128 (-> tptp.nat Bool)) (BOUND_VARIABLE_265129 tptp.nat)) (= (@ BOUND_VARIABLE_265127 (@ BOUND_VARIABLE_265128 BOUND_VARIABLE_265129)) (ll_812 BOUND_VARIABLE_265127 BOUND_VARIABLE_265128 BOUND_VARIABLE_265129))))) (let ((_let_19159 (forall ((BOUND_VARIABLE_265118 (-> tptp.int Bool)) (BOUND_VARIABLE_265119 (-> tptp.product_prod_int_int tptp.int)) (BOUND_VARIABLE_265120 tptp.product_prod_int_int)) (= (@ BOUND_VARIABLE_265118 (@ BOUND_VARIABLE_265119 BOUND_VARIABLE_265120)) (ll_811 BOUND_VARIABLE_265118 BOUND_VARIABLE_265119 BOUND_VARIABLE_265120))))) (let ((_let_19160 (forall ((BOUND_VARIABLE_265109 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_265110 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_265111 tptp.int)) (= (@ BOUND_VARIABLE_265109 (@ BOUND_VARIABLE_265110 BOUND_VARIABLE_265111)) (ll_810 BOUND_VARIABLE_265109 BOUND_VARIABLE_265110 BOUND_VARIABLE_265111))))) (let ((_let_19161 (forall ((BOUND_VARIABLE_265100 (-> tptp.int Bool)) (BOUND_VARIABLE_265101 (-> tptp.product_prod_nat_nat tptp.int)) (BOUND_VARIABLE_265102 tptp.product_prod_nat_nat)) (= (@ BOUND_VARIABLE_265100 (@ BOUND_VARIABLE_265101 BOUND_VARIABLE_265102)) (ll_809 BOUND_VARIABLE_265100 BOUND_VARIABLE_265101 BOUND_VARIABLE_265102))))) (let ((_let_19162 (forall ((BOUND_VARIABLE_265091 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_265092 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_265093 tptp.int)) (= (@ BOUND_VARIABLE_265091 (@ BOUND_VARIABLE_265092 BOUND_VARIABLE_265093)) (ll_808 BOUND_VARIABLE_265091 BOUND_VARIABLE_265092 BOUND_VARIABLE_265093))))) (let ((_let_19163 (forall ((BOUND_VARIABLE_265082 (-> tptp.nat Bool)) (BOUND_VARIABLE_265083 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265084 tptp.nat)) (= (@ BOUND_VARIABLE_265082 (@ BOUND_VARIABLE_265083 BOUND_VARIABLE_265084)) (ll_807 BOUND_VARIABLE_265082 BOUND_VARIABLE_265083 BOUND_VARIABLE_265084))))) (let ((_let_19164 (forall ((BOUND_VARIABLE_265073 (-> Bool Bool)) (BOUND_VARIABLE_265074 (-> tptp.nat Bool)) (BOUND_VARIABLE_265075 tptp.nat)) (= (@ BOUND_VARIABLE_265073 (@ BOUND_VARIABLE_265074 BOUND_VARIABLE_265075)) (ll_806 BOUND_VARIABLE_265073 BOUND_VARIABLE_265074 BOUND_VARIABLE_265075))))) (let ((_let_19165 (forall ((BOUND_VARIABLE_265061 (-> tptp.product_unit Bool)) (BOUND_VARIABLE_265062 (-> Bool tptp.product_unit)) (BOUND_VARIABLE_265063 (-> tptp.nat Bool)) (BOUND_VARIABLE_265064 tptp.nat)) (= (@ (@ (@ tptp.comp_P5156358013004227690it_o_o BOUND_VARIABLE_265061) BOUND_VARIABLE_265062) (@ BOUND_VARIABLE_265063 BOUND_VARIABLE_265064)) (ll_805 BOUND_VARIABLE_265061 BOUND_VARIABLE_265062 BOUND_VARIABLE_265063 BOUND_VARIABLE_265064))))) (let ((_let_19166 (forall ((BOUND_VARIABLE_265052 (-> tptp.nat Bool)) (BOUND_VARIABLE_265053 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265054 tptp.nat)) (= (@ BOUND_VARIABLE_265052 (@ BOUND_VARIABLE_265053 BOUND_VARIABLE_265054)) (ll_804 BOUND_VARIABLE_265052 BOUND_VARIABLE_265053 BOUND_VARIABLE_265054))))) (let ((_let_19167 (forall ((BOUND_VARIABLE_265041 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265042 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265043 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_265044 tptp.nat)) (= (@ BOUND_VARIABLE_265041 (@ BOUND_VARIABLE_265042 (@ BOUND_VARIABLE_265043 BOUND_VARIABLE_265044))) (ll_803 BOUND_VARIABLE_265041 BOUND_VARIABLE_265042 BOUND_VARIABLE_265043 BOUND_VARIABLE_265044))))) (let ((_let_19168 (forall ((BOUND_VARIABLE_265032 (-> tptp.int Bool)) (BOUND_VARIABLE_265033 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_265034 tptp.nat)) (= (@ BOUND_VARIABLE_265032 (@ BOUND_VARIABLE_265033 BOUND_VARIABLE_265034)) (ll_802 BOUND_VARIABLE_265032 BOUND_VARIABLE_265033 BOUND_VARIABLE_265034))))) (let ((_let_19169 (forall ((BOUND_VARIABLE_265023 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_265024 (-> tptp.int tptp.int)) (BOUND_VARIABLE_265025 tptp.int)) (= (@ BOUND_VARIABLE_265023 (@ BOUND_VARIABLE_265024 BOUND_VARIABLE_265025)) (ll_801 BOUND_VARIABLE_265023 BOUND_VARIABLE_265024 BOUND_VARIABLE_265025))))) (let ((_let_19170 (forall ((BOUND_VARIABLE_265014 (-> tptp.int Bool)) (BOUND_VARIABLE_265015 (-> tptp.int tptp.int)) (BOUND_VARIABLE_265016 tptp.int)) (= (@ BOUND_VARIABLE_265014 (@ BOUND_VARIABLE_265015 BOUND_VARIABLE_265016)) (ll_800 BOUND_VARIABLE_265014 BOUND_VARIABLE_265015 BOUND_VARIABLE_265016))))) (let ((_let_19171 (forall ((BOUND_VARIABLE_265003 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_265004 (-> tptp.int tptp.int)) (BOUND_VARIABLE_265005 (-> tptp.int tptp.int)) (BOUND_VARIABLE_265006 tptp.int)) (= (@ BOUND_VARIABLE_265003 (@ BOUND_VARIABLE_265004 (@ BOUND_VARIABLE_265005 BOUND_VARIABLE_265006))) (ll_799 BOUND_VARIABLE_265003 BOUND_VARIABLE_265004 BOUND_VARIABLE_265005 BOUND_VARIABLE_265006))))) (let ((_let_19172 (forall ((BOUND_VARIABLE_264994 (-> tptp.nat Bool)) (BOUND_VARIABLE_264995 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264996 tptp.nat)) (= (@ BOUND_VARIABLE_264994 (@ BOUND_VARIABLE_264995 BOUND_VARIABLE_264996)) (ll_798 BOUND_VARIABLE_264994 BOUND_VARIABLE_264995 BOUND_VARIABLE_264996))))) (let ((_let_19173 (forall ((BOUND_VARIABLE_264985 (-> Bool Bool)) (BOUND_VARIABLE_264986 (-> tptp.nat Bool)) (BOUND_VARIABLE_264987 tptp.nat)) (= (@ BOUND_VARIABLE_264985 (@ BOUND_VARIABLE_264986 BOUND_VARIABLE_264987)) (ll_797 BOUND_VARIABLE_264985 BOUND_VARIABLE_264986 BOUND_VARIABLE_264987))))) (let ((_let_19174 (forall ((BOUND_VARIABLE_264976 (-> tptp.int Bool)) (BOUND_VARIABLE_264977 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_264978 tptp.nat)) (= (@ BOUND_VARIABLE_264976 (@ BOUND_VARIABLE_264977 BOUND_VARIABLE_264978)) (ll_796 BOUND_VARIABLE_264976 BOUND_VARIABLE_264977 BOUND_VARIABLE_264978))))) (let ((_let_19175 (forall ((BOUND_VARIABLE_264967 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_264968 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264969 tptp.int)) (= (@ BOUND_VARIABLE_264967 (@ BOUND_VARIABLE_264968 BOUND_VARIABLE_264969)) (ll_795 BOUND_VARIABLE_264967 BOUND_VARIABLE_264968 BOUND_VARIABLE_264969))))) (let ((_let_19176 (forall ((BOUND_VARIABLE_264958 (-> tptp.int Bool)) (BOUND_VARIABLE_264959 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264960 tptp.int)) (= (@ BOUND_VARIABLE_264958 (@ BOUND_VARIABLE_264959 BOUND_VARIABLE_264960)) (ll_794 BOUND_VARIABLE_264958 BOUND_VARIABLE_264959 BOUND_VARIABLE_264960))))) (let ((_let_19177 (forall ((BOUND_VARIABLE_264946 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264947 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264948 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264949 tptp.int)) (= (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_264946) BOUND_VARIABLE_264947) (@ BOUND_VARIABLE_264948 BOUND_VARIABLE_264949)) (ll_793 BOUND_VARIABLE_264946 BOUND_VARIABLE_264947 BOUND_VARIABLE_264948 BOUND_VARIABLE_264949))))) (let ((_let_19178 (forall ((BOUND_VARIABLE_264937 (-> tptp.nat Bool)) (BOUND_VARIABLE_264938 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264939 tptp.nat)) (= (@ BOUND_VARIABLE_264937 (@ BOUND_VARIABLE_264938 BOUND_VARIABLE_264939)) (ll_792 BOUND_VARIABLE_264937 BOUND_VARIABLE_264938 BOUND_VARIABLE_264939))))) (let ((_let_19179 (forall ((BOUND_VARIABLE_264925 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_264926 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_264927 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264928 tptp.nat)) (= (@ (@ (@ tptp.comp_rat_nat_nat BOUND_VARIABLE_264925) BOUND_VARIABLE_264926) (@ BOUND_VARIABLE_264927 BOUND_VARIABLE_264928)) (ll_791 BOUND_VARIABLE_264925 BOUND_VARIABLE_264926 BOUND_VARIABLE_264927 BOUND_VARIABLE_264928))))) (let ((_let_19180 (forall ((BOUND_VARIABLE_264916 (-> tptp.nat Bool)) (BOUND_VARIABLE_264917 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264918 tptp.int)) (= (@ BOUND_VARIABLE_264916 (@ BOUND_VARIABLE_264917 BOUND_VARIABLE_264918)) (ll_790 BOUND_VARIABLE_264916 BOUND_VARIABLE_264917 BOUND_VARIABLE_264918))))) (let ((_let_19181 (forall ((BOUND_VARIABLE_264904 (-> tptp.rat tptp.num)) (BOUND_VARIABLE_264905 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_264906 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264907 tptp.int)) (= (@ (@ (@ tptp.comp_rat_num_nat BOUND_VARIABLE_264904) BOUND_VARIABLE_264905) (@ BOUND_VARIABLE_264906 BOUND_VARIABLE_264907)) (ll_789 BOUND_VARIABLE_264904 BOUND_VARIABLE_264905 BOUND_VARIABLE_264906 BOUND_VARIABLE_264907))))) (let ((_let_19182 (forall ((BOUND_VARIABLE_264895 (-> Bool Bool)) (BOUND_VARIABLE_264896 (-> tptp.nat Bool)) (BOUND_VARIABLE_264897 tptp.nat)) (= (@ BOUND_VARIABLE_264895 (@ BOUND_VARIABLE_264896 BOUND_VARIABLE_264897)) (ll_788 BOUND_VARIABLE_264895 BOUND_VARIABLE_264896 BOUND_VARIABLE_264897))))) (let ((_let_19183 (forall ((BOUND_VARIABLE_264883 (-> tptp.rat Bool)) (BOUND_VARIABLE_264884 (-> Bool tptp.rat)) (BOUND_VARIABLE_264885 (-> tptp.nat Bool)) (BOUND_VARIABLE_264886 tptp.nat)) (= (@ (@ (@ tptp.comp_rat_o_o BOUND_VARIABLE_264883) BOUND_VARIABLE_264884) (@ BOUND_VARIABLE_264885 BOUND_VARIABLE_264886)) (ll_787 BOUND_VARIABLE_264883 BOUND_VARIABLE_264884 BOUND_VARIABLE_264885 BOUND_VARIABLE_264886))))) (let ((_let_19184 (forall ((BOUND_VARIABLE_264874 (-> tptp.int Bool)) (BOUND_VARIABLE_264875 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264876 tptp.int)) (= (@ BOUND_VARIABLE_264874 (@ BOUND_VARIABLE_264875 BOUND_VARIABLE_264876)) (ll_786 BOUND_VARIABLE_264874 BOUND_VARIABLE_264875 BOUND_VARIABLE_264876))))) (let ((_let_19185 (forall ((BOUND_VARIABLE_264862 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_264863 (-> tptp.int tptp.rat)) (BOUND_VARIABLE_264864 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264865 tptp.int)) (= (@ (@ (@ tptp.comp_rat_nat_int BOUND_VARIABLE_264862) BOUND_VARIABLE_264863) (@ BOUND_VARIABLE_264864 BOUND_VARIABLE_264865)) (ll_785 BOUND_VARIABLE_264862 BOUND_VARIABLE_264863 BOUND_VARIABLE_264864 BOUND_VARIABLE_264865))))) (let ((_let_19186 (forall ((BOUND_VARIABLE_264853 (-> tptp.nat Bool)) (BOUND_VARIABLE_264854 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264855 tptp.nat)) (= (@ BOUND_VARIABLE_264853 (@ BOUND_VARIABLE_264854 BOUND_VARIABLE_264855)) (ll_784 BOUND_VARIABLE_264853 BOUND_VARIABLE_264854 BOUND_VARIABLE_264855))))) (let ((_let_19187 (forall ((BOUND_VARIABLE_264841 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_264842 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_264843 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264844 tptp.nat)) (= (@ (@ (@ tptp.comp_char_nat_nat BOUND_VARIABLE_264841) BOUND_VARIABLE_264842) (@ BOUND_VARIABLE_264843 BOUND_VARIABLE_264844)) (ll_783 BOUND_VARIABLE_264841 BOUND_VARIABLE_264842 BOUND_VARIABLE_264843 BOUND_VARIABLE_264844))))) (let ((_let_19188 (forall ((BOUND_VARIABLE_264832 (-> tptp.nat Bool)) (BOUND_VARIABLE_264833 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264834 tptp.int)) (= (@ BOUND_VARIABLE_264832 (@ BOUND_VARIABLE_264833 BOUND_VARIABLE_264834)) (ll_782 BOUND_VARIABLE_264832 BOUND_VARIABLE_264833 BOUND_VARIABLE_264834))))) (let ((_let_19189 (forall ((BOUND_VARIABLE_264820 (-> tptp.char tptp.num)) (BOUND_VARIABLE_264821 (-> tptp.nat tptp.char)) (BOUND_VARIABLE_264822 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264823 tptp.int)) (= (@ (@ (@ tptp.comp_char_num_nat BOUND_VARIABLE_264820) BOUND_VARIABLE_264821) (@ BOUND_VARIABLE_264822 BOUND_VARIABLE_264823)) (ll_781 BOUND_VARIABLE_264820 BOUND_VARIABLE_264821 BOUND_VARIABLE_264822 BOUND_VARIABLE_264823))))) (let ((_let_19190 (forall ((BOUND_VARIABLE_264811 (-> Bool Bool)) (BOUND_VARIABLE_264812 (-> tptp.nat Bool)) (BOUND_VARIABLE_264813 tptp.nat)) (= (@ BOUND_VARIABLE_264811 (@ BOUND_VARIABLE_264812 BOUND_VARIABLE_264813)) (ll_780 BOUND_VARIABLE_264811 BOUND_VARIABLE_264812 BOUND_VARIABLE_264813))))) (let ((_let_19191 (forall ((BOUND_VARIABLE_264799 (-> tptp.char Bool)) (BOUND_VARIABLE_264800 (-> Bool tptp.char)) (BOUND_VARIABLE_264801 (-> tptp.nat Bool)) (BOUND_VARIABLE_264802 tptp.nat)) (= (@ (@ (@ tptp.comp_char_o_o BOUND_VARIABLE_264799) BOUND_VARIABLE_264800) (@ BOUND_VARIABLE_264801 BOUND_VARIABLE_264802)) (ll_779 BOUND_VARIABLE_264799 BOUND_VARIABLE_264800 BOUND_VARIABLE_264801 BOUND_VARIABLE_264802))))) (let ((_let_19192 (forall ((BOUND_VARIABLE_264790 (-> tptp.int Bool)) (BOUND_VARIABLE_264791 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264792 tptp.int)) (= (@ BOUND_VARIABLE_264790 (@ BOUND_VARIABLE_264791 BOUND_VARIABLE_264792)) (ll_778 BOUND_VARIABLE_264790 BOUND_VARIABLE_264791 BOUND_VARIABLE_264792))))) (let ((_let_19193 (forall ((BOUND_VARIABLE_264778 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_264779 (-> tptp.int tptp.char)) (BOUND_VARIABLE_264780 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264781 tptp.int)) (= (@ (@ (@ tptp.comp_char_nat_int BOUND_VARIABLE_264778) BOUND_VARIABLE_264779) (@ BOUND_VARIABLE_264780 BOUND_VARIABLE_264781)) (ll_777 BOUND_VARIABLE_264778 BOUND_VARIABLE_264779 BOUND_VARIABLE_264780 BOUND_VARIABLE_264781))))) (let ((_let_19194 (forall ((BOUND_VARIABLE_264769 (-> tptp.nat Bool)) (BOUND_VARIABLE_264770 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264771 tptp.nat)) (= (@ BOUND_VARIABLE_264769 (@ BOUND_VARIABLE_264770 BOUND_VARIABLE_264771)) (ll_776 BOUND_VARIABLE_264769 BOUND_VARIABLE_264770 BOUND_VARIABLE_264771))))) (let ((_let_19195 (forall ((BOUND_VARIABLE_264760 (-> Bool Bool)) (BOUND_VARIABLE_264761 (-> tptp.nat Bool)) (BOUND_VARIABLE_264762 tptp.nat)) (= (@ BOUND_VARIABLE_264760 (@ BOUND_VARIABLE_264761 BOUND_VARIABLE_264762)) (ll_775 BOUND_VARIABLE_264760 BOUND_VARIABLE_264761 BOUND_VARIABLE_264762))))) (let ((_let_19196 (forall ((BOUND_VARIABLE_264749 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_264750 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.conversep_int_int BOUND_VARIABLE_264749) (@ tptp.product_fst_int_int BOUND_VARIABLE_264750)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264750)) (ll_774 BOUND_VARIABLE_264749 BOUND_VARIABLE_264750))))) (let ((_let_19197 (forall ((BOUND_VARIABLE_264740 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int BOUND_VARIABLE_264740)) (@ tptp.product_fst_int_int BOUND_VARIABLE_264740)) (ll_773 BOUND_VARIABLE_264740))))) (let ((_let_19198 (forall ((BOUND_VARIABLE_264730 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_264731 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_264730 (@ tptp.product_fst_int_int BOUND_VARIABLE_264731)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264731)) (ll_772 BOUND_VARIABLE_264730 BOUND_VARIABLE_264731))))) (let ((_let_19199 (forall ((BOUND_VARIABLE_264722 tptp.nat) (BOUND_VARIABLE_264723 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_264723) BOUND_VARIABLE_264722) (ll_771 BOUND_VARIABLE_264722 BOUND_VARIABLE_264723))))) (let ((_let_19200 (forall ((BOUND_VARIABLE_264714 tptp.num) (BOUND_VARIABLE_264715 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_264715) BOUND_VARIABLE_264714) (ll_770 BOUND_VARIABLE_264714 BOUND_VARIABLE_264715))))) (let ((_let_19201 (forall ((BOUND_VARIABLE_264706 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_264707 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_264707) BOUND_VARIABLE_264706) (ll_769 BOUND_VARIABLE_264706 BOUND_VARIABLE_264707))))) (let ((_let_19202 (forall ((BOUND_VARIABLE_264698 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_264699 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_264699) BOUND_VARIABLE_264698) (ll_768 BOUND_VARIABLE_264698 BOUND_VARIABLE_264699))))) (let ((_let_19203 (forall ((BOUND_VARIABLE_264681 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_264682 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_264683 tptp.int) (BOUND_VARIABLE_264684 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_264681 BOUND_VARIABLE_264683) B4)) (not (@ (@ BOUND_VARIABLE_264682 B4) BOUND_VARIABLE_264684))))) (ll_767 BOUND_VARIABLE_264681 BOUND_VARIABLE_264682 BOUND_VARIABLE_264683 BOUND_VARIABLE_264684))))) (let ((_let_19204 (forall ((BOUND_VARIABLE_264664 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264665 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_264666 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264667 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_264664 BOUND_VARIABLE_264666) B4)) (not (@ (@ BOUND_VARIABLE_264665 B4) BOUND_VARIABLE_264667))))) (ll_766 BOUND_VARIABLE_264664 BOUND_VARIABLE_264665 BOUND_VARIABLE_264666 BOUND_VARIABLE_264667))))) (let ((_let_19205 (forall ((BOUND_VARIABLE_264645 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_264646 (-> tptp.code_integer tptp.int Bool)) (BOUND_VARIABLE_264647 tptp.int) (BOUND_VARIABLE_264648 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ tptp.conversep_int_int BOUND_VARIABLE_264645) BOUND_VARIABLE_264647) B4)) (not (@ (@ (@ tptp.conver1462408618118490240er_int BOUND_VARIABLE_264646) B4) BOUND_VARIABLE_264648))))) (ll_765 BOUND_VARIABLE_264645 BOUND_VARIABLE_264646 BOUND_VARIABLE_264647 BOUND_VARIABLE_264648))))) (let ((_let_19206 (forall ((BOUND_VARIABLE_264626 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264627 (-> tptp.int tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264628 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264629 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ tptp.conver6965824823119931701at_nat BOUND_VARIABLE_264626) BOUND_VARIABLE_264628) B4)) (not (@ (@ (@ tptp.conver1866313717161370910at_nat BOUND_VARIABLE_264627) B4) BOUND_VARIABLE_264629))))) (ll_764 BOUND_VARIABLE_264626 BOUND_VARIABLE_264627 BOUND_VARIABLE_264628 BOUND_VARIABLE_264629))))) (let ((_let_19207 (forall ((BOUND_VARIABLE_264603 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264604 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264605 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264606 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264607 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ (@ tptp.produc6977886695330630970at_nat BOUND_VARIABLE_264604) BOUND_VARIABLE_264605) BOUND_VARIABLE_264606))) (= (ll_763 BOUND_VARIABLE_264603 BOUND_VARIABLE_264604 BOUND_VARIABLE_264605 BOUND_VARIABLE_264606 BOUND_VARIABLE_264607) (@ (@ (@ BOUND_VARIABLE_264603 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) (@ tptp.product_snd_nat_nat _let_1)) BOUND_VARIABLE_264607)))))) (let ((_let_19208 (forall ((BOUND_VARIABLE_264580 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264581 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264582 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264583 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264584 tptp.product_prod_nat_nat)) (= (ll_762 BOUND_VARIABLE_264580 BOUND_VARIABLE_264581 BOUND_VARIABLE_264582 BOUND_VARIABLE_264583 BOUND_VARIABLE_264584) (@ (@ (@ BOUND_VARIABLE_264580 (@ BOUND_VARIABLE_264581 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264583))) (@ BOUND_VARIABLE_264582 (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264583))) BOUND_VARIABLE_264584))))) (let ((_let_19209 (forall ((BOUND_VARIABLE_264557 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_264558 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264559 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264560 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264561 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ (@ tptp.produc6977886695330630970at_nat BOUND_VARIABLE_264558) BOUND_VARIABLE_264559) BOUND_VARIABLE_264560))) (= (ll_761 BOUND_VARIABLE_264557 BOUND_VARIABLE_264558 BOUND_VARIABLE_264559 BOUND_VARIABLE_264560 BOUND_VARIABLE_264561) (@ (@ (@ BOUND_VARIABLE_264557 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) (@ tptp.product_snd_nat_nat _let_1)) BOUND_VARIABLE_264561)))))) (let ((_let_19210 (forall ((BOUND_VARIABLE_264534 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_264535 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264536 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264537 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264538 tptp.product_prod_nat_nat)) (= (ll_760 BOUND_VARIABLE_264534 BOUND_VARIABLE_264535 BOUND_VARIABLE_264536 BOUND_VARIABLE_264537 BOUND_VARIABLE_264538) (@ (@ (@ BOUND_VARIABLE_264534 (@ BOUND_VARIABLE_264535 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264537))) (@ BOUND_VARIABLE_264536 (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264537))) BOUND_VARIABLE_264538))))) (let ((_let_19211 (forall ((BOUND_VARIABLE_264528 tptp.product_prod_int_int)) (= (@ tptp.product_snd_int_int BOUND_VARIABLE_264528) (ll_759 BOUND_VARIABLE_264528))))) (let ((_let_19212 (forall ((BOUND_VARIABLE_264522 tptp.product_prod_int_int)) (= (@ tptp.product_fst_int_int BOUND_VARIABLE_264522) (ll_758 BOUND_VARIABLE_264522))))) (let ((_let_19213 (forall ((BOUND_VARIABLE_264512 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_264513 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_264512 (@ tptp.product_fst_int_int BOUND_VARIABLE_264513)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264513)) (ll_757 BOUND_VARIABLE_264512 BOUND_VARIABLE_264513))))) (let ((_let_19214 (forall ((BOUND_VARIABLE_264502 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_264503 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_264502 (@ tptp.product_fst_int_int BOUND_VARIABLE_264503)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264503)) (ll_756 BOUND_VARIABLE_264502 BOUND_VARIABLE_264503))))) (let ((_let_19215 (forall ((BOUND_VARIABLE_264492 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_264493 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_264492 (@ tptp.product_fst_int_int BOUND_VARIABLE_264493)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264493)) (ll_755 BOUND_VARIABLE_264492 BOUND_VARIABLE_264493))))) (let ((_let_19216 (forall ((BOUND_VARIABLE_264474 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264475 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264476 tptp.product_prod_nat_nat)) (= (ll_754 BOUND_VARIABLE_264474 BOUND_VARIABLE_264475 BOUND_VARIABLE_264476) (@ (@ (@ BOUND_VARIABLE_264474 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264475)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264475)) BOUND_VARIABLE_264476))))) (let ((_let_19217 (forall ((BOUND_VARIABLE_264456 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_264457 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264458 tptp.product_prod_nat_nat)) (= (ll_753 BOUND_VARIABLE_264456 BOUND_VARIABLE_264457 BOUND_VARIABLE_264458) (@ (@ (@ BOUND_VARIABLE_264456 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264457)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264457)) BOUND_VARIABLE_264458))))) (let ((_let_19218 (forall ((BOUND_VARIABLE_264445 (-> tptp.product_prod_int_int tptp.int)) (BOUND_VARIABLE_264446 tptp.product_prod_int_int)) (= (@ BOUND_VARIABLE_264445 (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int BOUND_VARIABLE_264446)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264446))) (ll_752 BOUND_VARIABLE_264445 BOUND_VARIABLE_264446))))) (let ((_let_19219 (forall ((BOUND_VARIABLE_264434 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_264435 tptp.product_prod_int_int)) (= (@ BOUND_VARIABLE_264434 (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int BOUND_VARIABLE_264435)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264435))) (ll_751 BOUND_VARIABLE_264434 BOUND_VARIABLE_264435))))) (let ((_let_19220 (forall ((BOUND_VARIABLE_264423 (-> tptp.product_prod_int_int tptp.product_prod_int_int)) (BOUND_VARIABLE_264424 tptp.product_prod_int_int)) (= (@ BOUND_VARIABLE_264423 (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int BOUND_VARIABLE_264424)) (@ tptp.product_snd_int_int BOUND_VARIABLE_264424))) (ll_750 BOUND_VARIABLE_264423 BOUND_VARIABLE_264424))))) (let ((_let_19221 (forall ((BOUND_VARIABLE_264403 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264404 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264405 tptp.product_prod_nat_nat)) (= (ll_749 BOUND_VARIABLE_264403 BOUND_VARIABLE_264404 BOUND_VARIABLE_264405) (@ (@ BOUND_VARIABLE_264403 (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264404)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264404))) BOUND_VARIABLE_264405))))) (let ((_let_19222 (forall ((BOUND_VARIABLE_264383 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_264384 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264385 tptp.product_prod_nat_nat)) (= (ll_748 BOUND_VARIABLE_264383 BOUND_VARIABLE_264384 BOUND_VARIABLE_264385) (@ (@ BOUND_VARIABLE_264383 (@ (@ tptp.product_Pair_nat_nat (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264384)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264384))) BOUND_VARIABLE_264385))))) (let ((_let_19223 (forall ((BOUND_VARIABLE_264365 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264366 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264367 tptp.product_prod_nat_nat)) (= (ll_747 BOUND_VARIABLE_264365 BOUND_VARIABLE_264366 BOUND_VARIABLE_264367) (@ (@ (@ BOUND_VARIABLE_264365 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264366)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264366)) BOUND_VARIABLE_264367))))) (let ((_let_19224 (forall ((BOUND_VARIABLE_264347 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_264348 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264349 tptp.product_prod_nat_nat)) (= (ll_746 BOUND_VARIABLE_264347 BOUND_VARIABLE_264348 BOUND_VARIABLE_264349) (@ (@ (@ BOUND_VARIABLE_264347 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264348)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264348)) BOUND_VARIABLE_264349))))) (let ((_let_19225 (forall ((BOUND_VARIABLE_264340 tptp.int) (BOUND_VARIABLE_264341 tptp.int)) (= (= BOUND_VARIABLE_264340 BOUND_VARIABLE_264341) (ll_745 BOUND_VARIABLE_264340 BOUND_VARIABLE_264341))))) (let ((_let_19226 (forall ((BOUND_VARIABLE_264329 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_264330 (-> tptp.num tptp.num)) (BOUND_VARIABLE_264331 tptp.num) (BOUND_VARIABLE_264332 tptp.num)) (= (@ (@ BOUND_VARIABLE_264329 BOUND_VARIABLE_264331) (@ BOUND_VARIABLE_264330 BOUND_VARIABLE_264332)) (ll_744 BOUND_VARIABLE_264329 BOUND_VARIABLE_264330 BOUND_VARIABLE_264331 BOUND_VARIABLE_264332))))) (let ((_let_19227 (forall ((BOUND_VARIABLE_264322 tptp.int) (BOUND_VARIABLE_264323 tptp.int)) (= (= BOUND_VARIABLE_264322 BOUND_VARIABLE_264323) (ll_743 BOUND_VARIABLE_264322 BOUND_VARIABLE_264323))))) (let ((_let_19228 (forall ((BOUND_VARIABLE_264315 tptp.int) (BOUND_VARIABLE_264316 tptp.int)) (= (= BOUND_VARIABLE_264315 BOUND_VARIABLE_264316) (ll_742 BOUND_VARIABLE_264315 BOUND_VARIABLE_264316))))) (let ((_let_19229 (forall ((BOUND_VARIABLE_264304 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_264305 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_264306 tptp.num) (BOUND_VARIABLE_264307 tptp.nat)) (= (@ (@ BOUND_VARIABLE_264304 BOUND_VARIABLE_264306) (@ BOUND_VARIABLE_264305 BOUND_VARIABLE_264307)) (ll_741 BOUND_VARIABLE_264304 BOUND_VARIABLE_264305 BOUND_VARIABLE_264306 BOUND_VARIABLE_264307))))) (let ((_let_19230 (forall ((BOUND_VARIABLE_264297 tptp.int) (BOUND_VARIABLE_264298 tptp.int)) (= (= BOUND_VARIABLE_264297 BOUND_VARIABLE_264298) (ll_740 BOUND_VARIABLE_264297 BOUND_VARIABLE_264298))))) (let ((_let_19231 (forall ((BOUND_VARIABLE_264288 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_264289 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264290 tptp.int)) (= (@ BOUND_VARIABLE_264288 (@ BOUND_VARIABLE_264289 BOUND_VARIABLE_264290)) (ll_739 BOUND_VARIABLE_264288 BOUND_VARIABLE_264289 BOUND_VARIABLE_264290))))) (let ((_let_19232 (forall ((BOUND_VARIABLE_264281 tptp.int) (BOUND_VARIABLE_264282 tptp.int)) (= (= BOUND_VARIABLE_264281 BOUND_VARIABLE_264282) (ll_738 BOUND_VARIABLE_264281 BOUND_VARIABLE_264282))))) (let ((_let_19233 (forall ((BOUND_VARIABLE_264270 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_264271 (-> tptp.num tptp.num)) (BOUND_VARIABLE_264272 tptp.num) (BOUND_VARIABLE_264273 tptp.num)) (= (@ (@ BOUND_VARIABLE_264270 (@ BOUND_VARIABLE_264271 BOUND_VARIABLE_264272)) BOUND_VARIABLE_264273) (ll_737 BOUND_VARIABLE_264270 BOUND_VARIABLE_264271 BOUND_VARIABLE_264272 BOUND_VARIABLE_264273))))) (let ((_let_19234 (forall ((BOUND_VARIABLE_264263 tptp.int) (BOUND_VARIABLE_264264 tptp.int)) (= (= BOUND_VARIABLE_264263 BOUND_VARIABLE_264264) (ll_736 BOUND_VARIABLE_264263 BOUND_VARIABLE_264264))))) (let ((_let_19235 (forall ((BOUND_VARIABLE_264256 tptp.int) (BOUND_VARIABLE_264257 tptp.int)) (= (= BOUND_VARIABLE_264256 BOUND_VARIABLE_264257) (ll_735 BOUND_VARIABLE_264256 BOUND_VARIABLE_264257))))) (let ((_let_19236 (forall ((BOUND_VARIABLE_264245 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_264246 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_264247 tptp.nat) (BOUND_VARIABLE_264248 tptp.num)) (= (@ (@ BOUND_VARIABLE_264245 (@ BOUND_VARIABLE_264246 BOUND_VARIABLE_264247)) BOUND_VARIABLE_264248) (ll_734 BOUND_VARIABLE_264245 BOUND_VARIABLE_264246 BOUND_VARIABLE_264247 BOUND_VARIABLE_264248))))) (let ((_let_19237 (forall ((BOUND_VARIABLE_264238 tptp.int) (BOUND_VARIABLE_264239 tptp.int)) (= (= BOUND_VARIABLE_264238 BOUND_VARIABLE_264239) (ll_733 BOUND_VARIABLE_264238 BOUND_VARIABLE_264239))))) (let ((_let_19238 (forall ((BOUND_VARIABLE_264229 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_264230 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264231 tptp.int)) (= (@ BOUND_VARIABLE_264229 (@ BOUND_VARIABLE_264230 BOUND_VARIABLE_264231)) (ll_732 BOUND_VARIABLE_264229 BOUND_VARIABLE_264230 BOUND_VARIABLE_264231))))) (let ((_let_19239 (forall ((BOUND_VARIABLE_264220 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264221 (-> tptp.rat tptp.int)) (BOUND_VARIABLE_264222 tptp.rat)) (= (@ BOUND_VARIABLE_264220 (@ BOUND_VARIABLE_264221 BOUND_VARIABLE_264222)) (ll_731 BOUND_VARIABLE_264220 BOUND_VARIABLE_264221 BOUND_VARIABLE_264222))))) (let ((_let_19240 (forall ((BOUND_VARIABLE_264211 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264212 (-> tptp.rat tptp.int)) (BOUND_VARIABLE_264213 tptp.rat)) (= (@ BOUND_VARIABLE_264211 (@ BOUND_VARIABLE_264212 BOUND_VARIABLE_264213)) (ll_730 BOUND_VARIABLE_264211 BOUND_VARIABLE_264212 BOUND_VARIABLE_264213))))) (let ((_let_19241 (forall ((BOUND_VARIABLE_264202 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_264203 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_264204 tptp.rat)) (= (@ BOUND_VARIABLE_264202 (@ BOUND_VARIABLE_264203 BOUND_VARIABLE_264204)) (ll_729 BOUND_VARIABLE_264202 BOUND_VARIABLE_264203 BOUND_VARIABLE_264204))))) (let ((_let_19242 (forall ((BOUND_VARIABLE_264193 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264194 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_264195 tptp.rat)) (= (@ BOUND_VARIABLE_264193 (@ BOUND_VARIABLE_264194 BOUND_VARIABLE_264195)) (ll_728 BOUND_VARIABLE_264193 BOUND_VARIABLE_264194 BOUND_VARIABLE_264195))))) (let ((_let_19243 (forall ((BOUND_VARIABLE_264184 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_264185 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_264186 tptp.rat)) (= (@ BOUND_VARIABLE_264184 (@ BOUND_VARIABLE_264185 BOUND_VARIABLE_264186)) (ll_727 BOUND_VARIABLE_264184 BOUND_VARIABLE_264185 BOUND_VARIABLE_264186))))) (let ((_let_19244 (forall ((BOUND_VARIABLE_264175 (-> tptp.int tptp.int)) (BOUND_VARIABLE_264176 (-> tptp.char tptp.int)) (BOUND_VARIABLE_264177 tptp.char)) (= (@ BOUND_VARIABLE_264175 (@ BOUND_VARIABLE_264176 BOUND_VARIABLE_264177)) (ll_726 BOUND_VARIABLE_264175 BOUND_VARIABLE_264176 BOUND_VARIABLE_264177))))) (let ((_let_19245 (forall ((BOUND_VARIABLE_264166 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_264167 (-> tptp.char tptp.int)) (BOUND_VARIABLE_264168 tptp.char)) (= (@ BOUND_VARIABLE_264166 (@ BOUND_VARIABLE_264167 BOUND_VARIABLE_264168)) (ll_725 BOUND_VARIABLE_264166 BOUND_VARIABLE_264167 BOUND_VARIABLE_264168))))) (let ((_let_19246 (forall ((BOUND_VARIABLE_264157 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_264158 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_264159 tptp.char)) (= (@ BOUND_VARIABLE_264157 (@ BOUND_VARIABLE_264158 BOUND_VARIABLE_264159)) (ll_724 BOUND_VARIABLE_264157 BOUND_VARIABLE_264158 BOUND_VARIABLE_264159))))) (let ((_let_19247 (forall ((BOUND_VARIABLE_264148 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264149 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_264150 tptp.char)) (= (@ BOUND_VARIABLE_264148 (@ BOUND_VARIABLE_264149 BOUND_VARIABLE_264150)) (ll_723 BOUND_VARIABLE_264148 BOUND_VARIABLE_264149 BOUND_VARIABLE_264150))))) (let ((_let_19248 (forall ((BOUND_VARIABLE_264139 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_264140 (-> tptp.char tptp.nat)) (BOUND_VARIABLE_264141 tptp.char)) (= (@ BOUND_VARIABLE_264139 (@ BOUND_VARIABLE_264140 BOUND_VARIABLE_264141)) (ll_722 BOUND_VARIABLE_264139 BOUND_VARIABLE_264140 BOUND_VARIABLE_264141))))) (let ((_let_19249 (forall ((BOUND_VARIABLE_264121 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264122 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264123 tptp.product_prod_nat_nat)) (= (ll_721 BOUND_VARIABLE_264121 BOUND_VARIABLE_264122 BOUND_VARIABLE_264123) (@ (@ (@ BOUND_VARIABLE_264121 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264122)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264122)) BOUND_VARIABLE_264123))))) (let ((_let_19250 (forall ((BOUND_VARIABLE_264100 (-> (-> tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264101 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264102 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264103 tptp.product_prod_nat_nat)) (= (ll_720 BOUND_VARIABLE_264100 BOUND_VARIABLE_264101 BOUND_VARIABLE_264102 BOUND_VARIABLE_264103) (@ (@ BOUND_VARIABLE_264100 (@ (@ BOUND_VARIABLE_264101 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_264102)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_264102))) BOUND_VARIABLE_264103))))) (let ((_let_19251 (forall ((BOUND_VARIABLE_264072 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_264073 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264074 tptp.product_prod_nat_nat)) (= (ll_719 BOUND_VARIABLE_264072 BOUND_VARIABLE_264073 BOUND_VARIABLE_264074) (@ (@ tptp.produc6081775807080527818_nat_o (@ (@ ll_3323 BOUND_VARIABLE_264072) BOUND_VARIABLE_264074)) BOUND_VARIABLE_264073))))) (let ((_let_19252 (forall ((BOUND_VARIABLE_264044 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_264045 tptp.product_prod_nat_nat) (BOUND_VARIABLE_264046 tptp.product_prod_nat_nat)) (= (ll_718 BOUND_VARIABLE_264044 BOUND_VARIABLE_264045 BOUND_VARIABLE_264046) (@ (@ tptp.produc2626176000494625587at_nat (@ (@ ll_3322 BOUND_VARIABLE_264044) BOUND_VARIABLE_264046)) BOUND_VARIABLE_264045))))) (let ((_let_19253 (forall ((BOUND_VARIABLE_264037 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_264038 tptp.nat)) (= (@ BOUND_VARIABLE_264037 BOUND_VARIABLE_264038) (ll_717 BOUND_VARIABLE_264037 BOUND_VARIABLE_264038))))) (let ((_let_19254 (forall ((BOUND_VARIABLE_264030 (-> tptp.nat Bool)) (BOUND_VARIABLE_264031 tptp.nat)) (= (@ BOUND_VARIABLE_264030 BOUND_VARIABLE_264031) (ll_716 BOUND_VARIABLE_264030 BOUND_VARIABLE_264031))))) (let ((_let_19255 (forall ((BOUND_VARIABLE_264019 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_264020 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_264021 tptp.product_prod_int_int)) (= (and (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_264021) BOUND_VARIABLE_264019) (@ BOUND_VARIABLE_264020 BOUND_VARIABLE_264021)) (ll_715 BOUND_VARIABLE_264019 BOUND_VARIABLE_264020 BOUND_VARIABLE_264021))))) (let ((_let_19256 (forall ((BOUND_VARIABLE_264008 tptp.set_nat) (BOUND_VARIABLE_264009 (-> tptp.nat Bool)) (BOUND_VARIABLE_264010 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_264010) BOUND_VARIABLE_264008) (@ BOUND_VARIABLE_264009 BOUND_VARIABLE_264010)) (ll_714 BOUND_VARIABLE_264008 BOUND_VARIABLE_264009 BOUND_VARIABLE_264010))))) (let ((_let_19257 (forall ((BOUND_VARIABLE_263997 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263998 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263999 tptp.product_prod_nat_nat)) (= (and (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_263999) BOUND_VARIABLE_263997) (@ BOUND_VARIABLE_263998 BOUND_VARIABLE_263999)) (ll_713 BOUND_VARIABLE_263997 BOUND_VARIABLE_263998 BOUND_VARIABLE_263999))))) (let ((_let_19258 (forall ((BOUND_VARIABLE_263986 tptp.set_int) (BOUND_VARIABLE_263987 (-> tptp.int Bool)) (BOUND_VARIABLE_263988 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263988) BOUND_VARIABLE_263986) (@ BOUND_VARIABLE_263987 BOUND_VARIABLE_263988)) (ll_712 BOUND_VARIABLE_263986 BOUND_VARIABLE_263987 BOUND_VARIABLE_263988))))) (let ((_let_19259 (forall ((BOUND_VARIABLE_263975 tptp.set_o) (BOUND_VARIABLE_263976 (-> Bool Bool)) (BOUND_VARIABLE_263977 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263977) BOUND_VARIABLE_263975) (@ BOUND_VARIABLE_263976 BOUND_VARIABLE_263977)) (ll_711 BOUND_VARIABLE_263975 BOUND_VARIABLE_263976 BOUND_VARIABLE_263977))))) (let ((_let_19260 (forall ((BOUND_VARIABLE_263964 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263965 (-> tptp.produc3843707927480180839at_nat Bool)) (BOUND_VARIABLE_263966 tptp.produc3843707927480180839at_nat)) (= (and (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_263966) BOUND_VARIABLE_263964) (@ BOUND_VARIABLE_263965 BOUND_VARIABLE_263966)) (ll_710 BOUND_VARIABLE_263964 BOUND_VARIABLE_263965 BOUND_VARIABLE_263966))))) (let ((_let_19261 (forall ((BOUND_VARIABLE_263953 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263954 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_263955 tptp.product_prod_int_int)) (= (and (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_263955) BOUND_VARIABLE_263953) (@ BOUND_VARIABLE_263954 BOUND_VARIABLE_263955)) (ll_709 BOUND_VARIABLE_263953 BOUND_VARIABLE_263954 BOUND_VARIABLE_263955))))) (let ((_let_19262 (forall ((BOUND_VARIABLE_263942 tptp.set_nat) (BOUND_VARIABLE_263943 (-> tptp.nat Bool)) (BOUND_VARIABLE_263944 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263944) BOUND_VARIABLE_263942) (@ BOUND_VARIABLE_263943 BOUND_VARIABLE_263944)) (ll_708 BOUND_VARIABLE_263942 BOUND_VARIABLE_263943 BOUND_VARIABLE_263944))))) (let ((_let_19263 (forall ((BOUND_VARIABLE_263931 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263932 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263933 tptp.product_prod_nat_nat)) (= (and (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_263933) BOUND_VARIABLE_263931) (@ BOUND_VARIABLE_263932 BOUND_VARIABLE_263933)) (ll_707 BOUND_VARIABLE_263931 BOUND_VARIABLE_263932 BOUND_VARIABLE_263933))))) (let ((_let_19264 (forall ((BOUND_VARIABLE_263920 tptp.set_int) (BOUND_VARIABLE_263921 (-> tptp.int Bool)) (BOUND_VARIABLE_263922 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263922) BOUND_VARIABLE_263920) (@ BOUND_VARIABLE_263921 BOUND_VARIABLE_263922)) (ll_706 BOUND_VARIABLE_263920 BOUND_VARIABLE_263921 BOUND_VARIABLE_263922))))) (let ((_let_19265 (forall ((BOUND_VARIABLE_263909 tptp.set_o) (BOUND_VARIABLE_263910 (-> Bool Bool)) (BOUND_VARIABLE_263911 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263911) BOUND_VARIABLE_263909) (@ BOUND_VARIABLE_263910 BOUND_VARIABLE_263911)) (ll_705 BOUND_VARIABLE_263909 BOUND_VARIABLE_263910 BOUND_VARIABLE_263911))))) (let ((_let_19266 (forall ((BOUND_VARIABLE_263898 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263899 (-> tptp.produc3843707927480180839at_nat Bool)) (BOUND_VARIABLE_263900 tptp.produc3843707927480180839at_nat)) (= (and (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_263900) BOUND_VARIABLE_263898) (@ BOUND_VARIABLE_263899 BOUND_VARIABLE_263900)) (ll_704 BOUND_VARIABLE_263898 BOUND_VARIABLE_263899 BOUND_VARIABLE_263900))))) (let ((_let_19267 (forall ((BOUND_VARIABLE_263887 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263888 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_263889 tptp.product_prod_int_int)) (= (and (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_263889) BOUND_VARIABLE_263887) (@ BOUND_VARIABLE_263888 BOUND_VARIABLE_263889)) (ll_703 BOUND_VARIABLE_263887 BOUND_VARIABLE_263888 BOUND_VARIABLE_263889))))) (let ((_let_19268 (forall ((BOUND_VARIABLE_263876 tptp.set_nat) (BOUND_VARIABLE_263877 (-> tptp.nat Bool)) (BOUND_VARIABLE_263878 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263878) BOUND_VARIABLE_263876) (@ BOUND_VARIABLE_263877 BOUND_VARIABLE_263878)) (ll_702 BOUND_VARIABLE_263876 BOUND_VARIABLE_263877 BOUND_VARIABLE_263878))))) (let ((_let_19269 (forall ((BOUND_VARIABLE_263865 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263866 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263867 tptp.product_prod_nat_nat)) (= (and (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_263867) BOUND_VARIABLE_263865) (@ BOUND_VARIABLE_263866 BOUND_VARIABLE_263867)) (ll_701 BOUND_VARIABLE_263865 BOUND_VARIABLE_263866 BOUND_VARIABLE_263867))))) (let ((_let_19270 (forall ((BOUND_VARIABLE_263854 tptp.set_int) (BOUND_VARIABLE_263855 (-> tptp.int Bool)) (BOUND_VARIABLE_263856 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263856) BOUND_VARIABLE_263854) (@ BOUND_VARIABLE_263855 BOUND_VARIABLE_263856)) (ll_700 BOUND_VARIABLE_263854 BOUND_VARIABLE_263855 BOUND_VARIABLE_263856))))) (let ((_let_19271 (forall ((BOUND_VARIABLE_263843 tptp.set_o) (BOUND_VARIABLE_263844 (-> Bool Bool)) (BOUND_VARIABLE_263845 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263845) BOUND_VARIABLE_263843) (@ BOUND_VARIABLE_263844 BOUND_VARIABLE_263845)) (ll_699 BOUND_VARIABLE_263843 BOUND_VARIABLE_263844 BOUND_VARIABLE_263845))))) (let ((_let_19272 (forall ((BOUND_VARIABLE_263832 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263833 (-> tptp.produc3843707927480180839at_nat Bool)) (BOUND_VARIABLE_263834 tptp.produc3843707927480180839at_nat)) (= (and (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_263834) BOUND_VARIABLE_263832) (@ BOUND_VARIABLE_263833 BOUND_VARIABLE_263834)) (ll_698 BOUND_VARIABLE_263832 BOUND_VARIABLE_263833 BOUND_VARIABLE_263834))))) (let ((_let_19273 (forall ((BOUND_VARIABLE_263821 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263822 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_263823 tptp.product_prod_int_int)) (= (and (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_263823) BOUND_VARIABLE_263821) (@ BOUND_VARIABLE_263822 BOUND_VARIABLE_263823)) (ll_697 BOUND_VARIABLE_263821 BOUND_VARIABLE_263822 BOUND_VARIABLE_263823))))) (let ((_let_19274 (forall ((BOUND_VARIABLE_263810 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263811 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_263812 tptp.product_prod_int_int)) (= (and (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_263812) BOUND_VARIABLE_263810) (@ BOUND_VARIABLE_263811 BOUND_VARIABLE_263812)) (ll_696 BOUND_VARIABLE_263810 BOUND_VARIABLE_263811 BOUND_VARIABLE_263812))))) (let ((_let_19275 (forall ((BOUND_VARIABLE_263799 tptp.set_nat) (BOUND_VARIABLE_263800 (-> tptp.nat Bool)) (BOUND_VARIABLE_263801 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263801) BOUND_VARIABLE_263799) (@ BOUND_VARIABLE_263800 BOUND_VARIABLE_263801)) (ll_695 BOUND_VARIABLE_263799 BOUND_VARIABLE_263800 BOUND_VARIABLE_263801))))) (let ((_let_19276 (forall ((BOUND_VARIABLE_263788 tptp.set_nat) (BOUND_VARIABLE_263789 (-> tptp.nat Bool)) (BOUND_VARIABLE_263790 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263790) BOUND_VARIABLE_263788) (@ BOUND_VARIABLE_263789 BOUND_VARIABLE_263790)) (ll_694 BOUND_VARIABLE_263788 BOUND_VARIABLE_263789 BOUND_VARIABLE_263790))))) (let ((_let_19277 (forall ((BOUND_VARIABLE_263777 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263778 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263779 tptp.product_prod_nat_nat)) (= (and (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_263779) BOUND_VARIABLE_263777) (@ BOUND_VARIABLE_263778 BOUND_VARIABLE_263779)) (ll_693 BOUND_VARIABLE_263777 BOUND_VARIABLE_263778 BOUND_VARIABLE_263779))))) (let ((_let_19278 (forall ((BOUND_VARIABLE_263766 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263767 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263768 tptp.product_prod_nat_nat)) (= (and (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_263768) BOUND_VARIABLE_263766) (@ BOUND_VARIABLE_263767 BOUND_VARIABLE_263768)) (ll_692 BOUND_VARIABLE_263766 BOUND_VARIABLE_263767 BOUND_VARIABLE_263768))))) (let ((_let_19279 (forall ((BOUND_VARIABLE_263755 tptp.set_int) (BOUND_VARIABLE_263756 (-> tptp.int Bool)) (BOUND_VARIABLE_263757 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263757) BOUND_VARIABLE_263755) (@ BOUND_VARIABLE_263756 BOUND_VARIABLE_263757)) (ll_691 BOUND_VARIABLE_263755 BOUND_VARIABLE_263756 BOUND_VARIABLE_263757))))) (let ((_let_19280 (forall ((BOUND_VARIABLE_263744 tptp.set_int) (BOUND_VARIABLE_263745 (-> tptp.int Bool)) (BOUND_VARIABLE_263746 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263746) BOUND_VARIABLE_263744) (@ BOUND_VARIABLE_263745 BOUND_VARIABLE_263746)) (ll_690 BOUND_VARIABLE_263744 BOUND_VARIABLE_263745 BOUND_VARIABLE_263746))))) (let ((_let_19281 (forall ((BOUND_VARIABLE_263733 tptp.set_o) (BOUND_VARIABLE_263734 (-> Bool Bool)) (BOUND_VARIABLE_263735 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263735) BOUND_VARIABLE_263733) (@ BOUND_VARIABLE_263734 BOUND_VARIABLE_263735)) (ll_689 BOUND_VARIABLE_263733 BOUND_VARIABLE_263734 BOUND_VARIABLE_263735))))) (let ((_let_19282 (forall ((BOUND_VARIABLE_263722 tptp.set_o) (BOUND_VARIABLE_263723 (-> Bool Bool)) (BOUND_VARIABLE_263724 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263724) BOUND_VARIABLE_263722) (@ BOUND_VARIABLE_263723 BOUND_VARIABLE_263724)) (ll_688 BOUND_VARIABLE_263722 BOUND_VARIABLE_263723 BOUND_VARIABLE_263724))))) (let ((_let_19283 (forall ((BOUND_VARIABLE_263711 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263712 (-> tptp.produc3843707927480180839at_nat Bool)) (BOUND_VARIABLE_263713 tptp.produc3843707927480180839at_nat)) (= (and (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_263713) BOUND_VARIABLE_263711) (@ BOUND_VARIABLE_263712 BOUND_VARIABLE_263713)) (ll_687 BOUND_VARIABLE_263711 BOUND_VARIABLE_263712 BOUND_VARIABLE_263713))))) (let ((_let_19284 (forall ((BOUND_VARIABLE_263700 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263701 (-> tptp.produc3843707927480180839at_nat Bool)) (BOUND_VARIABLE_263702 tptp.produc3843707927480180839at_nat)) (= (and (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_263702) BOUND_VARIABLE_263700) (@ BOUND_VARIABLE_263701 BOUND_VARIABLE_263702)) (ll_686 BOUND_VARIABLE_263700 BOUND_VARIABLE_263701 BOUND_VARIABLE_263702))))) (let ((_let_19285 (forall ((BOUND_VARIABLE_263689 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263690 tptp.int) (BOUND_VARIABLE_263691 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_263690) BOUND_VARIABLE_263691)) BOUND_VARIABLE_263689) (ll_685 BOUND_VARIABLE_263689 BOUND_VARIABLE_263690 BOUND_VARIABLE_263691))))) (let ((_let_19286 (forall ((BOUND_VARIABLE_263678 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_263679 tptp.int) (BOUND_VARIABLE_263680 tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_263679) BOUND_VARIABLE_263680)) BOUND_VARIABLE_263678) (ll_684 BOUND_VARIABLE_263678 BOUND_VARIABLE_263679 BOUND_VARIABLE_263680))))) (let ((_let_19287 (forall ((BOUND_VARIABLE_263667 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263668 tptp.nat) (BOUND_VARIABLE_263669 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_263668) BOUND_VARIABLE_263669)) BOUND_VARIABLE_263667) (ll_683 BOUND_VARIABLE_263667 BOUND_VARIABLE_263668 BOUND_VARIABLE_263669))))) (let ((_let_19288 (forall ((BOUND_VARIABLE_263656 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263657 tptp.nat) (BOUND_VARIABLE_263658 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_263657) BOUND_VARIABLE_263658)) BOUND_VARIABLE_263656) (ll_682 BOUND_VARIABLE_263656 BOUND_VARIABLE_263657 BOUND_VARIABLE_263658))))) (let ((_let_19289 (forall ((BOUND_VARIABLE_263645 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_263646 tptp.nat) (BOUND_VARIABLE_263647 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_263646) BOUND_VARIABLE_263647)) BOUND_VARIABLE_263645) (ll_681 BOUND_VARIABLE_263645 BOUND_VARIABLE_263646 BOUND_VARIABLE_263647))))) (let ((_let_19290 (forall ((BOUND_VARIABLE_263634 tptp.set_Pr6200539531224447659at_num) (BOUND_VARIABLE_263635 tptp.nat) (BOUND_VARIABLE_263636 tptp.num)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_263635) BOUND_VARIABLE_263636)) BOUND_VARIABLE_263634) (ll_680 BOUND_VARIABLE_263634 BOUND_VARIABLE_263635 BOUND_VARIABLE_263636))))) (let ((_let_19291 (forall ((BOUND_VARIABLE_263623 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263624 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263625 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_263624) BOUND_VARIABLE_263625)) BOUND_VARIABLE_263623) (ll_679 BOUND_VARIABLE_263623 BOUND_VARIABLE_263624 BOUND_VARIABLE_263625))))) (let ((_let_19292 (forall ((BOUND_VARIABLE_263612 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263613 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_263614 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_263613) BOUND_VARIABLE_263614)) BOUND_VARIABLE_263612) (ll_678 BOUND_VARIABLE_263612 BOUND_VARIABLE_263613 BOUND_VARIABLE_263614))))) (let ((_let_19293 (forall ((BOUND_VARIABLE_263601 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_263602 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263603 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_263602) BOUND_VARIABLE_263603)) BOUND_VARIABLE_263601) (ll_677 BOUND_VARIABLE_263601 BOUND_VARIABLE_263602 BOUND_VARIABLE_263603))))) (let ((_let_19294 (forall ((BOUND_VARIABLE_263590 tptp.set_Pr7459493094073627847at_nat) (BOUND_VARIABLE_263591 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_263592 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_263591) BOUND_VARIABLE_263592)) BOUND_VARIABLE_263590) (ll_676 BOUND_VARIABLE_263590 BOUND_VARIABLE_263591 BOUND_VARIABLE_263592))))) (let ((_let_19295 (forall ((BOUND_VARIABLE_263579 (-> tptp.int Bool)) (BOUND_VARIABLE_263580 tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_fst_int_int BOUND_VARIABLE_263580))) (= (and (= _let_1 (@ tptp.product_snd_int_int BOUND_VARIABLE_263580)) (@ BOUND_VARIABLE_263579 _let_1)) (ll_675 BOUND_VARIABLE_263579 BOUND_VARIABLE_263580)))))) (let ((_let_19296 (forall ((BOUND_VARIABLE_263562 (-> tptp.int Bool)) (BOUND_VARIABLE_263563 tptp.product_prod_int_int)) (= (ll_674 BOUND_VARIABLE_263562 BOUND_VARIABLE_263563) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_263563)) (@ (@ tptp.image_8635204845542730022nt_int ll_3321) (@ tptp.collect_int BOUND_VARIABLE_263562)))))))) (let ((_let_19297 (forall ((BOUND_VARIABLE_263552 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_263553 tptp.product_prod_int_int) (BOUND_VARIABLE_263554 tptp.product_prod_int_int)) (= (and (= BOUND_VARIABLE_263553 BOUND_VARIABLE_263554) (@ BOUND_VARIABLE_263552 BOUND_VARIABLE_263553)) (ll_673 BOUND_VARIABLE_263552 BOUND_VARIABLE_263553 BOUND_VARIABLE_263554))))) (let ((_let_19298 (forall ((BOUND_VARIABLE_263542 (-> tptp.nat Bool)) (BOUND_VARIABLE_263543 tptp.nat) (BOUND_VARIABLE_263544 tptp.nat)) (= (and (= BOUND_VARIABLE_263543 BOUND_VARIABLE_263544) (@ BOUND_VARIABLE_263542 BOUND_VARIABLE_263543)) (ll_672 BOUND_VARIABLE_263542 BOUND_VARIABLE_263543 BOUND_VARIABLE_263544))))) (let ((_let_19299 (forall ((BOUND_VARIABLE_263532 (-> tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263533 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263534 tptp.product_prod_nat_nat)) (= (and (= BOUND_VARIABLE_263533 BOUND_VARIABLE_263534) (@ BOUND_VARIABLE_263532 BOUND_VARIABLE_263533)) (ll_671 BOUND_VARIABLE_263532 BOUND_VARIABLE_263533 BOUND_VARIABLE_263534))))) (let ((_let_19300 (forall ((BOUND_VARIABLE_263518 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263519 tptp.set_nat) (BOUND_VARIABLE_263520 (-> tptp.nat Bool)) (BOUND_VARIABLE_263521 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263521) (@ (@ tptp.image_nat_nat BOUND_VARIABLE_263518) BOUND_VARIABLE_263519)) (@ BOUND_VARIABLE_263520 BOUND_VARIABLE_263521)) (ll_670 BOUND_VARIABLE_263518 BOUND_VARIABLE_263519 BOUND_VARIABLE_263520 BOUND_VARIABLE_263521))))) (let ((_let_19301 (forall ((BOUND_VARIABLE_263505 tptp.set_nat) (BOUND_VARIABLE_263506 (-> tptp.nat Bool)) (BOUND_VARIABLE_263507 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263508 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263508) BOUND_VARIABLE_263505) (@ BOUND_VARIABLE_263506 (@ BOUND_VARIABLE_263507 BOUND_VARIABLE_263508))) (ll_669 BOUND_VARIABLE_263505 BOUND_VARIABLE_263506 BOUND_VARIABLE_263507 BOUND_VARIABLE_263508))))) (let ((_let_19302 (forall ((BOUND_VARIABLE_263491 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_263492 tptp.set_int) (BOUND_VARIABLE_263493 (-> tptp.nat Bool)) (BOUND_VARIABLE_263494 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263494) (@ (@ tptp.image_int_nat BOUND_VARIABLE_263491) BOUND_VARIABLE_263492)) (@ BOUND_VARIABLE_263493 BOUND_VARIABLE_263494)) (ll_668 BOUND_VARIABLE_263491 BOUND_VARIABLE_263492 BOUND_VARIABLE_263493 BOUND_VARIABLE_263494))))) (let ((_let_19303 (forall ((BOUND_VARIABLE_263478 tptp.set_int) (BOUND_VARIABLE_263479 (-> tptp.nat Bool)) (BOUND_VARIABLE_263480 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_263481 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263481) BOUND_VARIABLE_263478) (@ BOUND_VARIABLE_263479 (@ BOUND_VARIABLE_263480 BOUND_VARIABLE_263481))) (ll_667 BOUND_VARIABLE_263478 BOUND_VARIABLE_263479 BOUND_VARIABLE_263480 BOUND_VARIABLE_263481))))) (let ((_let_19304 (forall ((BOUND_VARIABLE_263464 (-> Bool tptp.nat)) (BOUND_VARIABLE_263465 tptp.set_o) (BOUND_VARIABLE_263466 (-> tptp.nat Bool)) (BOUND_VARIABLE_263467 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263467) (@ (@ tptp.image_o_nat BOUND_VARIABLE_263464) BOUND_VARIABLE_263465)) (@ BOUND_VARIABLE_263466 BOUND_VARIABLE_263467)) (ll_666 BOUND_VARIABLE_263464 BOUND_VARIABLE_263465 BOUND_VARIABLE_263466 BOUND_VARIABLE_263467))))) (let ((_let_19305 (forall ((BOUND_VARIABLE_263451 tptp.set_o) (BOUND_VARIABLE_263452 (-> tptp.nat Bool)) (BOUND_VARIABLE_263453 (-> Bool tptp.nat)) (BOUND_VARIABLE_263454 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263454) BOUND_VARIABLE_263451) (@ BOUND_VARIABLE_263452 (@ BOUND_VARIABLE_263453 BOUND_VARIABLE_263454))) (ll_665 BOUND_VARIABLE_263451 BOUND_VARIABLE_263452 BOUND_VARIABLE_263453 BOUND_VARIABLE_263454))))) (let ((_let_19306 (forall ((BOUND_VARIABLE_263437 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_263438 tptp.set_nat) (BOUND_VARIABLE_263439 (-> tptp.int Bool)) (BOUND_VARIABLE_263440 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263440) (@ (@ tptp.image_nat_int BOUND_VARIABLE_263437) BOUND_VARIABLE_263438)) (@ BOUND_VARIABLE_263439 BOUND_VARIABLE_263440)) (ll_664 BOUND_VARIABLE_263437 BOUND_VARIABLE_263438 BOUND_VARIABLE_263439 BOUND_VARIABLE_263440))))) (let ((_let_19307 (forall ((BOUND_VARIABLE_263424 tptp.set_nat) (BOUND_VARIABLE_263425 (-> tptp.int Bool)) (BOUND_VARIABLE_263426 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_263427 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263427) BOUND_VARIABLE_263424) (@ BOUND_VARIABLE_263425 (@ BOUND_VARIABLE_263426 BOUND_VARIABLE_263427))) (ll_663 BOUND_VARIABLE_263424 BOUND_VARIABLE_263425 BOUND_VARIABLE_263426 BOUND_VARIABLE_263427))))) (let ((_let_19308 (forall ((BOUND_VARIABLE_263410 (-> tptp.nat Bool)) (BOUND_VARIABLE_263411 tptp.set_nat) (BOUND_VARIABLE_263412 (-> Bool Bool)) (BOUND_VARIABLE_263413 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263413) (@ (@ tptp.image_nat_o BOUND_VARIABLE_263410) BOUND_VARIABLE_263411)) (@ BOUND_VARIABLE_263412 BOUND_VARIABLE_263413)) (ll_662 BOUND_VARIABLE_263410 BOUND_VARIABLE_263411 BOUND_VARIABLE_263412 BOUND_VARIABLE_263413))))) (let ((_let_19309 (forall ((BOUND_VARIABLE_263397 tptp.set_nat) (BOUND_VARIABLE_263398 (-> Bool Bool)) (BOUND_VARIABLE_263399 (-> tptp.nat Bool)) (BOUND_VARIABLE_263400 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263400) BOUND_VARIABLE_263397) (@ BOUND_VARIABLE_263398 (@ BOUND_VARIABLE_263399 BOUND_VARIABLE_263400))) (ll_661 BOUND_VARIABLE_263397 BOUND_VARIABLE_263398 BOUND_VARIABLE_263399 BOUND_VARIABLE_263400))))) (let ((_let_19310 (forall ((BOUND_VARIABLE_263383 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263384 tptp.set_nat) (BOUND_VARIABLE_263385 (-> tptp.rat Bool)) (BOUND_VARIABLE_263386 tptp.rat)) (= (and (@ (@ tptp.member_rat BOUND_VARIABLE_263386) (@ (@ tptp.image_nat_rat BOUND_VARIABLE_263383) BOUND_VARIABLE_263384)) (@ BOUND_VARIABLE_263385 BOUND_VARIABLE_263386)) (ll_660 BOUND_VARIABLE_263383 BOUND_VARIABLE_263384 BOUND_VARIABLE_263385 BOUND_VARIABLE_263386))))) (let ((_let_19311 (forall ((BOUND_VARIABLE_263370 tptp.set_nat) (BOUND_VARIABLE_263371 (-> tptp.rat Bool)) (BOUND_VARIABLE_263372 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263373 tptp.nat)) (= (and (@ (@ tptp.member_nat BOUND_VARIABLE_263373) BOUND_VARIABLE_263370) (@ BOUND_VARIABLE_263371 (@ BOUND_VARIABLE_263372 BOUND_VARIABLE_263373))) (ll_659 BOUND_VARIABLE_263370 BOUND_VARIABLE_263371 BOUND_VARIABLE_263372 BOUND_VARIABLE_263373))))) (let ((_let_19312 (forall ((BOUND_VARIABLE_263356 (-> tptp.int tptp.int)) (BOUND_VARIABLE_263357 tptp.set_int) (BOUND_VARIABLE_263358 (-> tptp.int Bool)) (BOUND_VARIABLE_263359 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263359) (@ (@ tptp.image_int_int BOUND_VARIABLE_263356) BOUND_VARIABLE_263357)) (@ BOUND_VARIABLE_263358 BOUND_VARIABLE_263359)) (ll_658 BOUND_VARIABLE_263356 BOUND_VARIABLE_263357 BOUND_VARIABLE_263358 BOUND_VARIABLE_263359))))) (let ((_let_19313 (forall ((BOUND_VARIABLE_263343 tptp.set_int) (BOUND_VARIABLE_263344 (-> tptp.int Bool)) (BOUND_VARIABLE_263345 (-> tptp.int tptp.int)) (BOUND_VARIABLE_263346 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263346) BOUND_VARIABLE_263343) (@ BOUND_VARIABLE_263344 (@ BOUND_VARIABLE_263345 BOUND_VARIABLE_263346))) (ll_657 BOUND_VARIABLE_263343 BOUND_VARIABLE_263344 BOUND_VARIABLE_263345 BOUND_VARIABLE_263346))))) (let ((_let_19314 (forall ((BOUND_VARIABLE_263329 (-> Bool tptp.int)) (BOUND_VARIABLE_263330 tptp.set_o) (BOUND_VARIABLE_263331 (-> tptp.int Bool)) (BOUND_VARIABLE_263332 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263332) (@ (@ tptp.image_o_int BOUND_VARIABLE_263329) BOUND_VARIABLE_263330)) (@ BOUND_VARIABLE_263331 BOUND_VARIABLE_263332)) (ll_656 BOUND_VARIABLE_263329 BOUND_VARIABLE_263330 BOUND_VARIABLE_263331 BOUND_VARIABLE_263332))))) (let ((_let_19315 (forall ((BOUND_VARIABLE_263316 tptp.set_o) (BOUND_VARIABLE_263317 (-> tptp.int Bool)) (BOUND_VARIABLE_263318 (-> Bool tptp.int)) (BOUND_VARIABLE_263319 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263319) BOUND_VARIABLE_263316) (@ BOUND_VARIABLE_263317 (@ BOUND_VARIABLE_263318 BOUND_VARIABLE_263319))) (ll_655 BOUND_VARIABLE_263316 BOUND_VARIABLE_263317 BOUND_VARIABLE_263318 BOUND_VARIABLE_263319))))) (let ((_let_19316 (forall ((BOUND_VARIABLE_263302 (-> tptp.int Bool)) (BOUND_VARIABLE_263303 tptp.set_int) (BOUND_VARIABLE_263304 (-> Bool Bool)) (BOUND_VARIABLE_263305 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263305) (@ (@ tptp.image_int_o BOUND_VARIABLE_263302) BOUND_VARIABLE_263303)) (@ BOUND_VARIABLE_263304 BOUND_VARIABLE_263305)) (ll_654 BOUND_VARIABLE_263302 BOUND_VARIABLE_263303 BOUND_VARIABLE_263304 BOUND_VARIABLE_263305))))) (let ((_let_19317 (forall ((BOUND_VARIABLE_263289 tptp.set_int) (BOUND_VARIABLE_263290 (-> Bool Bool)) (BOUND_VARIABLE_263291 (-> tptp.int Bool)) (BOUND_VARIABLE_263292 tptp.int)) (= (and (@ (@ tptp.member_int BOUND_VARIABLE_263292) BOUND_VARIABLE_263289) (@ BOUND_VARIABLE_263290 (@ BOUND_VARIABLE_263291 BOUND_VARIABLE_263292))) (ll_653 BOUND_VARIABLE_263289 BOUND_VARIABLE_263290 BOUND_VARIABLE_263291 BOUND_VARIABLE_263292))))) (let ((_let_19318 (forall ((BOUND_VARIABLE_263275 (-> Bool Bool)) (BOUND_VARIABLE_263276 tptp.set_o) (BOUND_VARIABLE_263277 (-> Bool Bool)) (BOUND_VARIABLE_263278 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263278) (@ (@ tptp.image_o_o BOUND_VARIABLE_263275) BOUND_VARIABLE_263276)) (@ BOUND_VARIABLE_263277 BOUND_VARIABLE_263278)) (ll_652 BOUND_VARIABLE_263275 BOUND_VARIABLE_263276 BOUND_VARIABLE_263277 BOUND_VARIABLE_263278))))) (let ((_let_19319 (forall ((BOUND_VARIABLE_263262 tptp.set_o) (BOUND_VARIABLE_263263 (-> Bool Bool)) (BOUND_VARIABLE_263264 (-> Bool Bool)) (BOUND_VARIABLE_263265 Bool)) (= (and (@ (@ tptp.member_o BOUND_VARIABLE_263265) BOUND_VARIABLE_263262) (@ BOUND_VARIABLE_263263 (@ BOUND_VARIABLE_263264 BOUND_VARIABLE_263265))) (ll_651 BOUND_VARIABLE_263262 BOUND_VARIABLE_263263 BOUND_VARIABLE_263264 BOUND_VARIABLE_263265))))) (let ((_let_19320 (forall ((BOUND_VARIABLE_263253 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_263254 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_263255 tptp.int)) (= (@ BOUND_VARIABLE_263253 (@ BOUND_VARIABLE_263254 BOUND_VARIABLE_263255)) (ll_650 BOUND_VARIABLE_263253 BOUND_VARIABLE_263254 BOUND_VARIABLE_263255))))) (let ((_let_19321 (forall ((BOUND_VARIABLE_263244 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_263245 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263246 tptp.nat)) (= (@ BOUND_VARIABLE_263244 (@ BOUND_VARIABLE_263245 BOUND_VARIABLE_263246)) (ll_649 BOUND_VARIABLE_263244 BOUND_VARIABLE_263245 BOUND_VARIABLE_263246))))) (let ((_let_19322 (forall ((BOUND_VARIABLE_263235 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263236 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_263237 tptp.int)) (= (@ BOUND_VARIABLE_263235 (@ BOUND_VARIABLE_263236 BOUND_VARIABLE_263237)) (ll_648 BOUND_VARIABLE_263235 BOUND_VARIABLE_263236 BOUND_VARIABLE_263237))))) (let ((_let_19323 (forall ((BOUND_VARIABLE_263226 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263227 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263228 tptp.nat)) (= (@ BOUND_VARIABLE_263226 (@ BOUND_VARIABLE_263227 BOUND_VARIABLE_263228)) (ll_647 BOUND_VARIABLE_263226 BOUND_VARIABLE_263227 BOUND_VARIABLE_263228))))) (let ((_let_19324 (forall ((BOUND_VARIABLE_263217 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263218 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_263219 tptp.int)) (= (@ BOUND_VARIABLE_263217 (@ BOUND_VARIABLE_263218 BOUND_VARIABLE_263219)) (ll_646 BOUND_VARIABLE_263217 BOUND_VARIABLE_263218 BOUND_VARIABLE_263219))))) (let ((_let_19325 (forall ((BOUND_VARIABLE_263208 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263209 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_263210 tptp.nat)) (= (@ BOUND_VARIABLE_263208 (@ BOUND_VARIABLE_263209 BOUND_VARIABLE_263210)) (ll_645 BOUND_VARIABLE_263208 BOUND_VARIABLE_263209 BOUND_VARIABLE_263210))))) (let ((_let_19326 (forall ((BOUND_VARIABLE_263199 (-> tptp.int tptp.rat)) (BOUND_VARIABLE_263200 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_263201 tptp.nat)) (= (@ BOUND_VARIABLE_263199 (@ BOUND_VARIABLE_263200 BOUND_VARIABLE_263201)) (ll_644 BOUND_VARIABLE_263199 BOUND_VARIABLE_263200 BOUND_VARIABLE_263201))))) (let ((_let_19327 (forall ((BOUND_VARIABLE_263190 (-> tptp.rat tptp.int)) (BOUND_VARIABLE_263191 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263192 tptp.nat)) (= (@ BOUND_VARIABLE_263190 (@ BOUND_VARIABLE_263191 BOUND_VARIABLE_263192)) (ll_643 BOUND_VARIABLE_263190 BOUND_VARIABLE_263191 BOUND_VARIABLE_263192))))) (let ((_let_19328 (forall ((BOUND_VARIABLE_263181 (-> tptp.rat tptp.nat)) (BOUND_VARIABLE_263182 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263183 tptp.nat)) (= (@ BOUND_VARIABLE_263181 (@ BOUND_VARIABLE_263182 BOUND_VARIABLE_263183)) (ll_642 BOUND_VARIABLE_263181 BOUND_VARIABLE_263182 BOUND_VARIABLE_263183))))) (let ((_let_19329 (forall ((BOUND_VARIABLE_263172 (-> tptp.rat tptp.rat)) (BOUND_VARIABLE_263173 (-> tptp.nat tptp.rat)) (BOUND_VARIABLE_263174 tptp.nat)) (= (@ BOUND_VARIABLE_263172 (@ BOUND_VARIABLE_263173 BOUND_VARIABLE_263174)) (ll_641 BOUND_VARIABLE_263172 BOUND_VARIABLE_263173 BOUND_VARIABLE_263174))))) (let ((_let_19330 (forall ((BOUND_VARIABLE_263167 tptp.int)) (= BOUND_VARIABLE_263167 (ll_640 BOUND_VARIABLE_263167))))) (let ((_let_19331 (forall ((BOUND_VARIABLE_263162 tptp.nat)) (= BOUND_VARIABLE_263162 (ll_639 BOUND_VARIABLE_263162))))) (let ((_let_19332 (forall ((BOUND_VARIABLE_263157 tptp.int)) (= BOUND_VARIABLE_263157 (ll_638 BOUND_VARIABLE_263157))))) (let ((_let_19333 (forall ((BOUND_VARIABLE_263152 tptp.nat)) (= BOUND_VARIABLE_263152 (ll_637 BOUND_VARIABLE_263152))))) (let ((_let_19334 (forall ((BOUND_VARIABLE_263142 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_263143 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_263142 (@ tptp.product_fst_int_int BOUND_VARIABLE_263143)) (@ tptp.product_snd_int_int BOUND_VARIABLE_263143)) (ll_636 BOUND_VARIABLE_263142 BOUND_VARIABLE_263143))))) (let ((_let_19335 (forall ((BOUND_VARIABLE_263132 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_263133 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_263132 (@ tptp.product_fst_int_int BOUND_VARIABLE_263133)) (@ tptp.product_snd_int_int BOUND_VARIABLE_263133)) (ll_635 BOUND_VARIABLE_263132 BOUND_VARIABLE_263133))))) (let ((_let_19336 (forall ((BOUND_VARIABLE_263107 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263108 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263109 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)))) (let ((_let_2 (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_263108)) (@ _let_1 BOUND_VARIABLE_263108)))) (= (ll_634 BOUND_VARIABLE_263107 BOUND_VARIABLE_263108 BOUND_VARIABLE_263109) (@ (@ (@ BOUND_VARIABLE_263107 (@ tptp.product_snd_nat_nat _let_2)) (@ _let_1 _let_2)) BOUND_VARIABLE_263109))))))) (let ((_let_19337 (forall ((BOUND_VARIABLE_263089 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263090 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263091 tptp.product_prod_nat_nat)) (= (ll_633 BOUND_VARIABLE_263089 BOUND_VARIABLE_263090 BOUND_VARIABLE_263091) (@ (@ (@ BOUND_VARIABLE_263089 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_263090)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_263090)) BOUND_VARIABLE_263091))))) (let ((_let_19338 (forall ((BOUND_VARIABLE_263064 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_263065 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263066 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)))) (let ((_let_2 (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_263065)) (@ _let_1 BOUND_VARIABLE_263065)))) (= (ll_632 BOUND_VARIABLE_263064 BOUND_VARIABLE_263065 BOUND_VARIABLE_263066) (@ (@ (@ BOUND_VARIABLE_263064 (@ tptp.product_snd_nat_nat _let_2)) (@ _let_1 _let_2)) BOUND_VARIABLE_263066))))))) (let ((_let_19339 (forall ((BOUND_VARIABLE_263046 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_263047 tptp.product_prod_nat_nat) (BOUND_VARIABLE_263048 tptp.product_prod_nat_nat)) (= (ll_631 BOUND_VARIABLE_263046 BOUND_VARIABLE_263047 BOUND_VARIABLE_263048) (@ (@ (@ BOUND_VARIABLE_263046 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_263047)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_263047)) BOUND_VARIABLE_263048))))) (let ((_let_19340 (forall ((BOUND_VARIABLE_263025 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_263026 tptp.nat) (BOUND_VARIABLE_263027 tptp.nat) (BOUND_VARIABLE_263028 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_263026) BOUND_VARIABLE_263027))) (= (ll_630 BOUND_VARIABLE_263025 BOUND_VARIABLE_263026 BOUND_VARIABLE_263027 BOUND_VARIABLE_263028) (@ (@ (@ BOUND_VARIABLE_263025 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) (@ tptp.product_snd_nat_nat _let_1)) BOUND_VARIABLE_263028)))))) (let ((_let_19341 (forall ((BOUND_VARIABLE_263004 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_263005 tptp.nat) (BOUND_VARIABLE_263006 tptp.nat) (BOUND_VARIABLE_263007 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_263005) BOUND_VARIABLE_263006))) (= (ll_629 BOUND_VARIABLE_263004 BOUND_VARIABLE_263005 BOUND_VARIABLE_263006 BOUND_VARIABLE_263007) (@ (@ (@ BOUND_VARIABLE_263004 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) (@ tptp.product_snd_nat_nat _let_1)) BOUND_VARIABLE_263007)))))) (let ((_let_19342 (forall ((BOUND_VARIABLE_262986 tptp.set_int) (BOUND_VARIABLE_262987 tptp.product_prod_int_int)) (= (ll_628 BOUND_VARIABLE_262986 BOUND_VARIABLE_262987) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_701744273176368580_int_o (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_262987)) (@ (@ tptp.image_8635204845542730022nt_int ll_3321) BOUND_VARIABLE_262986))))))) (let ((_let_19343 (forall ((BOUND_VARIABLE_262968 tptp.set_se7855581050983116737at_nat) (BOUND_VARIABLE_262969 tptp.produc3843707927480180839at_nat)) (= (ll_627 BOUND_VARIABLE_262968 BOUND_VARIABLE_262969) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_3568060456209098518_nat_o (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_262969)) (@ (@ tptp.image_6898982319499645995at_nat ll_3320) BOUND_VARIABLE_262968))))))) (let ((_let_19344 (forall ((BOUND_VARIABLE_262959 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_262959) BOUND_VARIABLE_262959)) tptp.bot_bo4948859079157340979at_nat) (ll_626 BOUND_VARIABLE_262959))))) (let ((_let_19345 (forall ((BOUND_VARIABLE_262947 Bool) (BOUND_VARIABLE_262948 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_262949 tptp.product_prod_int_int)) (= (and BOUND_VARIABLE_262947 (@ (@ BOUND_VARIABLE_262948 (@ tptp.product_fst_int_int BOUND_VARIABLE_262949)) (@ tptp.product_snd_int_int BOUND_VARIABLE_262949))) (ll_625 BOUND_VARIABLE_262947 BOUND_VARIABLE_262948 BOUND_VARIABLE_262949))))) (let ((_let_19346 (forall ((BOUND_VARIABLE_262935 Bool) (BOUND_VARIABLE_262936 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_262937 tptp.product_prod_int_int)) (= (and BOUND_VARIABLE_262935 (@ (@ BOUND_VARIABLE_262936 (@ tptp.product_fst_int_int BOUND_VARIABLE_262937)) (@ tptp.product_snd_int_int BOUND_VARIABLE_262937))) (ll_624 BOUND_VARIABLE_262935 BOUND_VARIABLE_262936 BOUND_VARIABLE_262937))))) (let ((_let_19347 (forall ((BOUND_VARIABLE_262930 tptp.int)) (= BOUND_VARIABLE_262930 (ll_623 BOUND_VARIABLE_262930))))) (let ((_let_19348 (forall ((BOUND_VARIABLE_262925 tptp.nat)) (= BOUND_VARIABLE_262925 (ll_622 BOUND_VARIABLE_262925))))) (let ((_let_19349 (forall ((BOUND_VARIABLE_262916 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262917 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262918 tptp.nat)) (= (@ BOUND_VARIABLE_262916 (@ BOUND_VARIABLE_262917 BOUND_VARIABLE_262918)) (ll_621 BOUND_VARIABLE_262916 BOUND_VARIABLE_262917 BOUND_VARIABLE_262918))))) (let ((_let_19350 (forall ((BOUND_VARIABLE_262907 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262908 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262909 tptp.nat)) (= (@ BOUND_VARIABLE_262907 (@ BOUND_VARIABLE_262908 BOUND_VARIABLE_262909)) (ll_620 BOUND_VARIABLE_262907 BOUND_VARIABLE_262908 BOUND_VARIABLE_262909))))) (let ((_let_19351 (forall ((BOUND_VARIABLE_262900 tptp.list_nat) (BOUND_VARIABLE_262901 tptp.list_nat)) (= (= BOUND_VARIABLE_262900 BOUND_VARIABLE_262901) (ll_619 BOUND_VARIABLE_262900 BOUND_VARIABLE_262901))))) (let ((_let_19352 (forall ((BOUND_VARIABLE_262888 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_262889 (-> tptp.list_nat tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat BOUND_VARIABLE_262889) (@ (@ tptp.image_nat_list_nat tptp.nat_list_decode) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_262888))) (ll_618 BOUND_VARIABLE_262888 BOUND_VARIABLE_262889))))) (let ((_let_19353 (forall ((BOUND_VARIABLE_262881 tptp.int) (BOUND_VARIABLE_262882 tptp.int)) (= (= BOUND_VARIABLE_262881 BOUND_VARIABLE_262882) (ll_617 BOUND_VARIABLE_262881 BOUND_VARIABLE_262882))))) (let ((_let_19354 (forall ((BOUND_VARIABLE_262856 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_262857 (-> tptp.int tptp.product_prod_int_int))) (= (ll_616 BOUND_VARIABLE_262856 BOUND_VARIABLE_262857) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int BOUND_VARIABLE_262857) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ ll_3319 BOUND_VARIABLE_262856))))))) (let ((_let_19355 (forall ((BOUND_VARIABLE_262849 tptp.nat) (BOUND_VARIABLE_262850 tptp.nat)) (= (= BOUND_VARIABLE_262849 BOUND_VARIABLE_262850) (ll_615 BOUND_VARIABLE_262849 BOUND_VARIABLE_262850))))) (let ((_let_19356 (forall ((BOUND_VARIABLE_262824 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_262825 (-> tptp.nat tptp.product_prod_int_int))) (= (ll_614 BOUND_VARIABLE_262824 BOUND_VARIABLE_262825) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int BOUND_VARIABLE_262825) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) (@ tptp.collec213857154873943460nt_int (@ ll_3318 BOUND_VARIABLE_262824))))))) (let ((_let_19357 (forall ((BOUND_VARIABLE_262817 tptp.rat) (BOUND_VARIABLE_262818 tptp.rat)) (= (= BOUND_VARIABLE_262817 BOUND_VARIABLE_262818) (ll_613 BOUND_VARIABLE_262817 BOUND_VARIABLE_262818))))) (let ((_let_19358 (forall ((BOUND_VARIABLE_262790 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_262791 (-> tptp.rat tptp.product_prod_int_int))) (= (ll_612 BOUND_VARIABLE_262790 BOUND_VARIABLE_262791) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int BOUND_VARIABLE_262791) (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec213857154873943460nt_int (@ ll_3317 BOUND_VARIABLE_262790))))))) (let ((_let_19359 (forall ((BOUND_VARIABLE_262783 tptp.char) (BOUND_VARIABLE_262784 tptp.char)) (= (= BOUND_VARIABLE_262783 BOUND_VARIABLE_262784) (ll_611 BOUND_VARIABLE_262783 BOUND_VARIABLE_262784))))) (let ((_let_19360 (forall ((BOUND_VARIABLE_262758 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_262759 (-> tptp.char tptp.product_prod_int_int))) (= (ll_610 BOUND_VARIABLE_262758 BOUND_VARIABLE_262759) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int BOUND_VARIABLE_262759) (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))) (@ tptp.collec213857154873943460nt_int (@ ll_3316 BOUND_VARIABLE_262758))))))) (let ((_let_19361 (forall ((BOUND_VARIABLE_262746 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_262747 (-> tptp.int tptp.product_prod_num_num))) (= (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num BOUND_VARIABLE_262747) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o BOUND_VARIABLE_262746))) (ll_609 BOUND_VARIABLE_262746 BOUND_VARIABLE_262747))))) (let ((_let_19362 (forall ((BOUND_VARIABLE_262739 tptp.int) (BOUND_VARIABLE_262740 tptp.int)) (= (= BOUND_VARIABLE_262739 BOUND_VARIABLE_262740) (ll_608 BOUND_VARIABLE_262739 BOUND_VARIABLE_262740))))) (let ((_let_19363 (forall ((BOUND_VARIABLE_262732 tptp.int) (BOUND_VARIABLE_262733 tptp.int)) (= (= BOUND_VARIABLE_262732 BOUND_VARIABLE_262733) (ll_607 BOUND_VARIABLE_262732 BOUND_VARIABLE_262733))))) (let ((_let_19364 (forall ((BOUND_VARIABLE_262720 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_262721 (-> tptp.int tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat BOUND_VARIABLE_262721) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_262720))) (ll_606 BOUND_VARIABLE_262720 BOUND_VARIABLE_262721))))) (let ((_let_19365 (forall ((BOUND_VARIABLE_262713 tptp.nat) (BOUND_VARIABLE_262714 tptp.nat)) (= (= BOUND_VARIABLE_262713 BOUND_VARIABLE_262714) (ll_605 BOUND_VARIABLE_262713 BOUND_VARIABLE_262714))))) (let ((_let_19366 (forall ((BOUND_VARIABLE_262701 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_262702 (-> tptp.nat tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat BOUND_VARIABLE_262702) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_262701))) (ll_604 BOUND_VARIABLE_262701 BOUND_VARIABLE_262702))))) (let ((_let_19367 (forall ((BOUND_VARIABLE_262694 tptp.rat) (BOUND_VARIABLE_262695 tptp.rat)) (= (= BOUND_VARIABLE_262694 BOUND_VARIABLE_262695) (ll_603 BOUND_VARIABLE_262694 BOUND_VARIABLE_262695))))) (let ((_let_19368 (forall ((BOUND_VARIABLE_262677 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_262678 (-> tptp.rat tptp.product_prod_nat_nat))) (= (ll_602 BOUND_VARIABLE_262677 BOUND_VARIABLE_262678) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat BOUND_VARIABLE_262678) (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_262677))))))) (let ((_let_19369 (forall ((BOUND_VARIABLE_262670 tptp.char) (BOUND_VARIABLE_262671 tptp.char)) (= (= BOUND_VARIABLE_262670 BOUND_VARIABLE_262671) (ll_601 BOUND_VARIABLE_262670 BOUND_VARIABLE_262671))))) (let ((_let_19370 (forall ((BOUND_VARIABLE_262658 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_262659 (-> tptp.char tptp.product_prod_nat_nat))) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat BOUND_VARIABLE_262659) (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_262658))) (ll_600 BOUND_VARIABLE_262658 BOUND_VARIABLE_262659))))) (let ((_let_19371 (forall ((BOUND_VARIABLE_262647 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262648 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262649 tptp.code_integer) (BOUND_VARIABLE_262650 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262647 (@ BOUND_VARIABLE_262648 BOUND_VARIABLE_262649)) BOUND_VARIABLE_262650) (ll_599 BOUND_VARIABLE_262647 BOUND_VARIABLE_262648 BOUND_VARIABLE_262649 BOUND_VARIABLE_262650))))) (let ((_let_19372 (forall ((BOUND_VARIABLE_262636 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262637 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262638 tptp.code_integer) (BOUND_VARIABLE_262639 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262636 (@ BOUND_VARIABLE_262637 BOUND_VARIABLE_262638)) BOUND_VARIABLE_262639) (ll_598 BOUND_VARIABLE_262636 BOUND_VARIABLE_262637 BOUND_VARIABLE_262638 BOUND_VARIABLE_262639))))) (let ((_let_19373 (forall ((BOUND_VARIABLE_262625 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262626 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262627 tptp.code_integer) (BOUND_VARIABLE_262628 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262625 (@ BOUND_VARIABLE_262626 BOUND_VARIABLE_262627)) BOUND_VARIABLE_262628) (ll_597 BOUND_VARIABLE_262625 BOUND_VARIABLE_262626 BOUND_VARIABLE_262627 BOUND_VARIABLE_262628))))) (let ((_let_19374 (forall ((BOUND_VARIABLE_262614 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262615 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262616 tptp.code_integer) (BOUND_VARIABLE_262617 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262614 (@ BOUND_VARIABLE_262615 BOUND_VARIABLE_262616)) BOUND_VARIABLE_262617) (ll_596 BOUND_VARIABLE_262614 BOUND_VARIABLE_262615 BOUND_VARIABLE_262616 BOUND_VARIABLE_262617))))) (let ((_let_19375 (forall ((BOUND_VARIABLE_262605 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262606 (-> tptp.int tptp.int)) (BOUND_VARIABLE_262607 tptp.int)) (= (@ BOUND_VARIABLE_262605 (@ BOUND_VARIABLE_262606 BOUND_VARIABLE_262607)) (ll_595 BOUND_VARIABLE_262605 BOUND_VARIABLE_262606 BOUND_VARIABLE_262607))))) (let ((_let_19376 (forall ((BOUND_VARIABLE_262596 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262597 (-> tptp.int tptp.int)) (BOUND_VARIABLE_262598 tptp.int)) (= (@ BOUND_VARIABLE_262596 (@ BOUND_VARIABLE_262597 BOUND_VARIABLE_262598)) (ll_594 BOUND_VARIABLE_262596 BOUND_VARIABLE_262597 BOUND_VARIABLE_262598))))) (let ((_let_19377 (forall ((BOUND_VARIABLE_262587 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_262588 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262589 tptp.int)) (= (@ BOUND_VARIABLE_262587 (@ BOUND_VARIABLE_262588 BOUND_VARIABLE_262589)) (ll_593 BOUND_VARIABLE_262587 BOUND_VARIABLE_262588 BOUND_VARIABLE_262589))))) (let ((_let_19378 (forall ((BOUND_VARIABLE_262578 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_262579 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262580 tptp.int)) (= (@ BOUND_VARIABLE_262578 (@ BOUND_VARIABLE_262579 BOUND_VARIABLE_262580)) (ll_592 BOUND_VARIABLE_262578 BOUND_VARIABLE_262579 BOUND_VARIABLE_262580))))) (let ((_let_19379 (forall ((BOUND_VARIABLE_262569 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262570 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262571 tptp.nat)) (= (@ BOUND_VARIABLE_262569 (@ BOUND_VARIABLE_262570 BOUND_VARIABLE_262571)) (ll_591 BOUND_VARIABLE_262569 BOUND_VARIABLE_262570 BOUND_VARIABLE_262571))))) (let ((_let_19380 (forall ((BOUND_VARIABLE_262560 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262561 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262562 tptp.nat)) (= (@ BOUND_VARIABLE_262560 (@ BOUND_VARIABLE_262561 BOUND_VARIABLE_262562)) (ll_590 BOUND_VARIABLE_262560 BOUND_VARIABLE_262561 BOUND_VARIABLE_262562))))) (let ((_let_19381 (forall ((BOUND_VARIABLE_262551 (-> Bool Bool)) (BOUND_VARIABLE_262552 (-> tptp.nat Bool)) (BOUND_VARIABLE_262553 tptp.nat)) (= (@ BOUND_VARIABLE_262551 (@ BOUND_VARIABLE_262552 BOUND_VARIABLE_262553)) (ll_589 BOUND_VARIABLE_262551 BOUND_VARIABLE_262552 BOUND_VARIABLE_262553))))) (let ((_let_19382 (forall ((BOUND_VARIABLE_262542 (-> Bool Bool)) (BOUND_VARIABLE_262543 (-> tptp.nat Bool)) (BOUND_VARIABLE_262544 tptp.nat)) (= (@ BOUND_VARIABLE_262542 (@ BOUND_VARIABLE_262543 BOUND_VARIABLE_262544)) (ll_588 BOUND_VARIABLE_262542 BOUND_VARIABLE_262543 BOUND_VARIABLE_262544))))) (let ((_let_19383 (forall ((BOUND_VARIABLE_262531 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262532 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262533 tptp.code_integer) (BOUND_VARIABLE_262534 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262531 (@ BOUND_VARIABLE_262532 BOUND_VARIABLE_262533)) BOUND_VARIABLE_262534) (ll_587 BOUND_VARIABLE_262531 BOUND_VARIABLE_262532 BOUND_VARIABLE_262533 BOUND_VARIABLE_262534))))) (let ((_let_19384 (forall ((BOUND_VARIABLE_262520 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262521 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262522 tptp.code_integer) (BOUND_VARIABLE_262523 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262520 (@ BOUND_VARIABLE_262521 BOUND_VARIABLE_262522)) BOUND_VARIABLE_262523) (ll_586 BOUND_VARIABLE_262520 BOUND_VARIABLE_262521 BOUND_VARIABLE_262522 BOUND_VARIABLE_262523))))) (let ((_let_19385 (forall ((BOUND_VARIABLE_262511 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262512 (-> tptp.int tptp.int)) (BOUND_VARIABLE_262513 tptp.int)) (= (@ BOUND_VARIABLE_262511 (@ BOUND_VARIABLE_262512 BOUND_VARIABLE_262513)) (ll_585 BOUND_VARIABLE_262511 BOUND_VARIABLE_262512 BOUND_VARIABLE_262513))))) (let ((_let_19386 (forall ((BOUND_VARIABLE_262502 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262503 (-> tptp.int tptp.int)) (BOUND_VARIABLE_262504 tptp.int)) (= (@ BOUND_VARIABLE_262502 (@ BOUND_VARIABLE_262503 BOUND_VARIABLE_262504)) (ll_584 BOUND_VARIABLE_262502 BOUND_VARIABLE_262503 BOUND_VARIABLE_262504))))) (let ((_let_19387 (forall ((BOUND_VARIABLE_262493 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_262494 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262495 tptp.int)) (= (@ BOUND_VARIABLE_262493 (@ BOUND_VARIABLE_262494 BOUND_VARIABLE_262495)) (ll_583 BOUND_VARIABLE_262493 BOUND_VARIABLE_262494 BOUND_VARIABLE_262495))))) (let ((_let_19388 (forall ((BOUND_VARIABLE_262484 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_262485 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262486 tptp.int)) (= (@ BOUND_VARIABLE_262484 (@ BOUND_VARIABLE_262485 BOUND_VARIABLE_262486)) (ll_582 BOUND_VARIABLE_262484 BOUND_VARIABLE_262485 BOUND_VARIABLE_262486))))) (let ((_let_19389 (forall ((BOUND_VARIABLE_262475 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262476 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262477 tptp.nat)) (= (@ BOUND_VARIABLE_262475 (@ BOUND_VARIABLE_262476 BOUND_VARIABLE_262477)) (ll_581 BOUND_VARIABLE_262475 BOUND_VARIABLE_262476 BOUND_VARIABLE_262477))))) (let ((_let_19390 (forall ((BOUND_VARIABLE_262466 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262467 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262468 tptp.nat)) (= (@ BOUND_VARIABLE_262466 (@ BOUND_VARIABLE_262467 BOUND_VARIABLE_262468)) (ll_580 BOUND_VARIABLE_262466 BOUND_VARIABLE_262467 BOUND_VARIABLE_262468))))) (let ((_let_19391 (forall ((BOUND_VARIABLE_262457 (-> Bool Bool)) (BOUND_VARIABLE_262458 (-> tptp.nat Bool)) (BOUND_VARIABLE_262459 tptp.nat)) (= (@ BOUND_VARIABLE_262457 (@ BOUND_VARIABLE_262458 BOUND_VARIABLE_262459)) (ll_579 BOUND_VARIABLE_262457 BOUND_VARIABLE_262458 BOUND_VARIABLE_262459))))) (let ((_let_19392 (forall ((BOUND_VARIABLE_262448 (-> Bool Bool)) (BOUND_VARIABLE_262449 (-> tptp.nat Bool)) (BOUND_VARIABLE_262450 tptp.nat)) (= (@ BOUND_VARIABLE_262448 (@ BOUND_VARIABLE_262449 BOUND_VARIABLE_262450)) (ll_578 BOUND_VARIABLE_262448 BOUND_VARIABLE_262449 BOUND_VARIABLE_262450))))) (let ((_let_19393 (forall ((BOUND_VARIABLE_262437 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262438 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262439 tptp.code_integer) (BOUND_VARIABLE_262440 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262437 (@ BOUND_VARIABLE_262438 BOUND_VARIABLE_262439)) BOUND_VARIABLE_262440) (ll_577 BOUND_VARIABLE_262437 BOUND_VARIABLE_262438 BOUND_VARIABLE_262439 BOUND_VARIABLE_262440))))) (let ((_let_19394 (forall ((BOUND_VARIABLE_262426 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262427 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262428 tptp.code_integer) (BOUND_VARIABLE_262429 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262426 (@ BOUND_VARIABLE_262427 BOUND_VARIABLE_262428)) BOUND_VARIABLE_262429) (ll_576 BOUND_VARIABLE_262426 BOUND_VARIABLE_262427 BOUND_VARIABLE_262428 BOUND_VARIABLE_262429))))) (let ((_let_19395 (forall ((BOUND_VARIABLE_262417 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262418 (-> tptp.int tptp.int)) (BOUND_VARIABLE_262419 tptp.int)) (= (@ BOUND_VARIABLE_262417 (@ BOUND_VARIABLE_262418 BOUND_VARIABLE_262419)) (ll_575 BOUND_VARIABLE_262417 BOUND_VARIABLE_262418 BOUND_VARIABLE_262419))))) (let ((_let_19396 (forall ((BOUND_VARIABLE_262408 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262409 (-> tptp.int tptp.int)) (BOUND_VARIABLE_262410 tptp.int)) (= (@ BOUND_VARIABLE_262408 (@ BOUND_VARIABLE_262409 BOUND_VARIABLE_262410)) (ll_574 BOUND_VARIABLE_262408 BOUND_VARIABLE_262409 BOUND_VARIABLE_262410))))) (let ((_let_19397 (forall ((BOUND_VARIABLE_262399 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_262400 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262401 tptp.int)) (= (@ BOUND_VARIABLE_262399 (@ BOUND_VARIABLE_262400 BOUND_VARIABLE_262401)) (ll_573 BOUND_VARIABLE_262399 BOUND_VARIABLE_262400 BOUND_VARIABLE_262401))))) (let ((_let_19398 (forall ((BOUND_VARIABLE_262390 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_262391 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_262392 tptp.int)) (= (@ BOUND_VARIABLE_262390 (@ BOUND_VARIABLE_262391 BOUND_VARIABLE_262392)) (ll_572 BOUND_VARIABLE_262390 BOUND_VARIABLE_262391 BOUND_VARIABLE_262392))))) (let ((_let_19399 (forall ((BOUND_VARIABLE_262381 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262382 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262383 tptp.nat)) (= (@ BOUND_VARIABLE_262381 (@ BOUND_VARIABLE_262382 BOUND_VARIABLE_262383)) (ll_571 BOUND_VARIABLE_262381 BOUND_VARIABLE_262382 BOUND_VARIABLE_262383))))) (let ((_let_19400 (forall ((BOUND_VARIABLE_262372 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262373 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_262374 tptp.nat)) (= (@ BOUND_VARIABLE_262372 (@ BOUND_VARIABLE_262373 BOUND_VARIABLE_262374)) (ll_570 BOUND_VARIABLE_262372 BOUND_VARIABLE_262373 BOUND_VARIABLE_262374))))) (let ((_let_19401 (forall ((BOUND_VARIABLE_262363 (-> Bool Bool)) (BOUND_VARIABLE_262364 (-> tptp.nat Bool)) (BOUND_VARIABLE_262365 tptp.nat)) (= (@ BOUND_VARIABLE_262363 (@ BOUND_VARIABLE_262364 BOUND_VARIABLE_262365)) (ll_569 BOUND_VARIABLE_262363 BOUND_VARIABLE_262364 BOUND_VARIABLE_262365))))) (let ((_let_19402 (forall ((BOUND_VARIABLE_262354 (-> Bool Bool)) (BOUND_VARIABLE_262355 (-> tptp.nat Bool)) (BOUND_VARIABLE_262356 tptp.nat)) (= (@ BOUND_VARIABLE_262354 (@ BOUND_VARIABLE_262355 BOUND_VARIABLE_262356)) (ll_568 BOUND_VARIABLE_262354 BOUND_VARIABLE_262355 BOUND_VARIABLE_262356))))) (let ((_let_19403 (forall ((BOUND_VARIABLE_262343 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262344 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262345 tptp.code_integer) (BOUND_VARIABLE_262346 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262343 (@ BOUND_VARIABLE_262344 BOUND_VARIABLE_262345)) BOUND_VARIABLE_262346) (ll_567 BOUND_VARIABLE_262343 BOUND_VARIABLE_262344 BOUND_VARIABLE_262345 BOUND_VARIABLE_262346))))) (let ((_let_19404 (forall ((BOUND_VARIABLE_262332 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_262333 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_262334 tptp.code_integer) (BOUND_VARIABLE_262335 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_262332 (@ BOUND_VARIABLE_262333 BOUND_VARIABLE_262334)) BOUND_VARIABLE_262335) (ll_566 BOUND_VARIABLE_262332 BOUND_VARIABLE_262333 BOUND_VARIABLE_262334 BOUND_VARIABLE_262335))))) (let ((_let_19405 (forall ((BOUND_VARIABLE_262325 tptp.nat) (BOUND_VARIABLE_262326 tptp.nat)) (= (= BOUND_VARIABLE_262325 BOUND_VARIABLE_262326) (ll_565 BOUND_VARIABLE_262325 BOUND_VARIABLE_262326))))) (let ((_let_19406 (forall ((BOUND_VARIABLE_262318 tptp.nat) (BOUND_VARIABLE_262319 tptp.nat)) (= (= BOUND_VARIABLE_262318 BOUND_VARIABLE_262319) (ll_564 BOUND_VARIABLE_262318 BOUND_VARIABLE_262319))))) (let ((_let_19407 (forall ((BOUND_VARIABLE_262311 tptp.nat) (BOUND_VARIABLE_262312 tptp.nat)) (= (= BOUND_VARIABLE_262311 BOUND_VARIABLE_262312) (ll_563 BOUND_VARIABLE_262311 BOUND_VARIABLE_262312))))) (let ((_let_19408 (forall ((BOUND_VARIABLE_262304 tptp.nat) (BOUND_VARIABLE_262305 tptp.nat)) (= (= BOUND_VARIABLE_262304 BOUND_VARIABLE_262305) (ll_562 BOUND_VARIABLE_262304 BOUND_VARIABLE_262305))))) (let ((_let_19409 (forall ((BOUND_VARIABLE_262297 tptp.rat) (BOUND_VARIABLE_262298 tptp.rat)) (= (= BOUND_VARIABLE_262297 BOUND_VARIABLE_262298) (ll_561 BOUND_VARIABLE_262297 BOUND_VARIABLE_262298))))) (let ((_let_19410 (forall ((BOUND_VARIABLE_262290 tptp.rat) (BOUND_VARIABLE_262291 tptp.rat)) (= (= BOUND_VARIABLE_262290 BOUND_VARIABLE_262291) (ll_560 BOUND_VARIABLE_262290 BOUND_VARIABLE_262291))))) (let ((_let_19411 (forall ((BOUND_VARIABLE_262283 tptp.rat) (BOUND_VARIABLE_262284 tptp.rat)) (= (= BOUND_VARIABLE_262283 BOUND_VARIABLE_262284) (ll_559 BOUND_VARIABLE_262283 BOUND_VARIABLE_262284))))) (let ((_let_19412 (forall ((BOUND_VARIABLE_262276 tptp.char) (BOUND_VARIABLE_262277 tptp.char)) (= (= BOUND_VARIABLE_262276 BOUND_VARIABLE_262277) (ll_558 BOUND_VARIABLE_262276 BOUND_VARIABLE_262277))))) (let ((_let_19413 (forall ((BOUND_VARIABLE_262269 tptp.char) (BOUND_VARIABLE_262270 tptp.char)) (= (= BOUND_VARIABLE_262269 BOUND_VARIABLE_262270) (ll_557 BOUND_VARIABLE_262269 BOUND_VARIABLE_262270))))) (let ((_let_19414 (forall ((BOUND_VARIABLE_262262 tptp.char) (BOUND_VARIABLE_262263 tptp.char)) (= (= BOUND_VARIABLE_262262 BOUND_VARIABLE_262263) (ll_556 BOUND_VARIABLE_262262 BOUND_VARIABLE_262263))))) (let ((_let_19415 (forall ((BOUND_VARIABLE_262255 tptp.rat) (BOUND_VARIABLE_262256 tptp.rat)) (= (= BOUND_VARIABLE_262255 BOUND_VARIABLE_262256) (ll_555 BOUND_VARIABLE_262255 BOUND_VARIABLE_262256))))) (let ((_let_19416 (forall ((BOUND_VARIABLE_262248 tptp.rat) (BOUND_VARIABLE_262249 tptp.rat)) (= (= BOUND_VARIABLE_262248 BOUND_VARIABLE_262249) (ll_554 BOUND_VARIABLE_262248 BOUND_VARIABLE_262249))))) (let ((_let_19417 (forall ((BOUND_VARIABLE_262241 tptp.char) (BOUND_VARIABLE_262242 tptp.char)) (= (= BOUND_VARIABLE_262241 BOUND_VARIABLE_262242) (ll_553 BOUND_VARIABLE_262241 BOUND_VARIABLE_262242))))) (let ((_let_19418 (forall ((BOUND_VARIABLE_262234 tptp.char) (BOUND_VARIABLE_262235 tptp.char)) (= (= BOUND_VARIABLE_262234 BOUND_VARIABLE_262235) (ll_552 BOUND_VARIABLE_262234 BOUND_VARIABLE_262235))))) (let ((_let_19419 (forall ((BOUND_VARIABLE_262227 tptp.char) (BOUND_VARIABLE_262228 tptp.char)) (= (= BOUND_VARIABLE_262227 BOUND_VARIABLE_262228) (ll_551 BOUND_VARIABLE_262227 BOUND_VARIABLE_262228))))) (let ((_let_19420 (forall ((BOUND_VARIABLE_262220 tptp.char) (BOUND_VARIABLE_262221 tptp.char)) (= (= BOUND_VARIABLE_262220 BOUND_VARIABLE_262221) (ll_550 BOUND_VARIABLE_262220 BOUND_VARIABLE_262221))))) (let ((_let_19421 (forall ((BOUND_VARIABLE_262213 tptp.char) (BOUND_VARIABLE_262214 tptp.char)) (= (= BOUND_VARIABLE_262213 BOUND_VARIABLE_262214) (ll_549 BOUND_VARIABLE_262213 BOUND_VARIABLE_262214))))) (let ((_let_19422 (forall ((BOUND_VARIABLE_262206 tptp.char) (BOUND_VARIABLE_262207 tptp.char)) (= (= BOUND_VARIABLE_262206 BOUND_VARIABLE_262207) (ll_548 BOUND_VARIABLE_262206 BOUND_VARIABLE_262207))))) (let ((_let_19423 (forall ((BOUND_VARIABLE_262199 tptp.char) (BOUND_VARIABLE_262200 tptp.char)) (= (= BOUND_VARIABLE_262199 BOUND_VARIABLE_262200) (ll_547 BOUND_VARIABLE_262199 BOUND_VARIABLE_262200))))) (let ((_let_19424 (forall ((BOUND_VARIABLE_262192 tptp.char) (BOUND_VARIABLE_262193 tptp.char)) (= (= BOUND_VARIABLE_262192 BOUND_VARIABLE_262193) (ll_546 BOUND_VARIABLE_262192 BOUND_VARIABLE_262193))))) (let ((_let_19425 (forall ((BOUND_VARIABLE_262185 tptp.char) (BOUND_VARIABLE_262186 tptp.char)) (= (= BOUND_VARIABLE_262185 BOUND_VARIABLE_262186) (ll_545 BOUND_VARIABLE_262185 BOUND_VARIABLE_262186))))) (let ((_let_19426 (forall ((BOUND_VARIABLE_262178 tptp.char) (BOUND_VARIABLE_262179 tptp.char)) (= (= BOUND_VARIABLE_262178 BOUND_VARIABLE_262179) (ll_544 BOUND_VARIABLE_262178 BOUND_VARIABLE_262179))))) (let ((_let_19427 (forall ((BOUND_VARIABLE_262171 tptp.char) (BOUND_VARIABLE_262172 tptp.char)) (= (= BOUND_VARIABLE_262171 BOUND_VARIABLE_262172) (ll_543 BOUND_VARIABLE_262171 BOUND_VARIABLE_262172))))) (let ((_let_19428 (forall ((BOUND_VARIABLE_262164 tptp.char) (BOUND_VARIABLE_262165 tptp.char)) (= (= BOUND_VARIABLE_262164 BOUND_VARIABLE_262165) (ll_542 BOUND_VARIABLE_262164 BOUND_VARIABLE_262165))))) (let ((_let_19429 (forall ((BOUND_VARIABLE_262157 tptp.char) (BOUND_VARIABLE_262158 tptp.char)) (= (= BOUND_VARIABLE_262157 BOUND_VARIABLE_262158) (ll_541 BOUND_VARIABLE_262157 BOUND_VARIABLE_262158))))) (let ((_let_19430 (forall ((BOUND_VARIABLE_262150 tptp.char) (BOUND_VARIABLE_262151 tptp.char)) (= (= BOUND_VARIABLE_262150 BOUND_VARIABLE_262151) (ll_540 BOUND_VARIABLE_262150 BOUND_VARIABLE_262151))))) (let ((_let_19431 (forall ((BOUND_VARIABLE_262143 tptp.char) (BOUND_VARIABLE_262144 tptp.char)) (= (= BOUND_VARIABLE_262143 BOUND_VARIABLE_262144) (ll_539 BOUND_VARIABLE_262143 BOUND_VARIABLE_262144))))) (let ((_let_19432 (forall ((BOUND_VARIABLE_262136 tptp.char) (BOUND_VARIABLE_262137 tptp.char)) (= (= BOUND_VARIABLE_262136 BOUND_VARIABLE_262137) (ll_538 BOUND_VARIABLE_262136 BOUND_VARIABLE_262137))))) (let ((_let_19433 (forall ((BOUND_VARIABLE_262129 tptp.char) (BOUND_VARIABLE_262130 tptp.char)) (= (= BOUND_VARIABLE_262129 BOUND_VARIABLE_262130) (ll_537 BOUND_VARIABLE_262129 BOUND_VARIABLE_262130))))) (let ((_let_19434 (forall ((BOUND_VARIABLE_262122 tptp.char) (BOUND_VARIABLE_262123 tptp.char)) (= (= BOUND_VARIABLE_262122 BOUND_VARIABLE_262123) (ll_536 BOUND_VARIABLE_262122 BOUND_VARIABLE_262123))))) (let ((_let_19435 (forall ((BOUND_VARIABLE_262115 tptp.rat) (BOUND_VARIABLE_262116 tptp.rat)) (= (= BOUND_VARIABLE_262115 BOUND_VARIABLE_262116) (ll_535 BOUND_VARIABLE_262115 BOUND_VARIABLE_262116))))) (let ((_let_19436 (forall ((BOUND_VARIABLE_262108 tptp.rat) (BOUND_VARIABLE_262109 tptp.rat)) (= (= BOUND_VARIABLE_262108 BOUND_VARIABLE_262109) (ll_534 BOUND_VARIABLE_262108 BOUND_VARIABLE_262109))))) (let ((_let_19437 (forall ((BOUND_VARIABLE_262101 tptp.char) (BOUND_VARIABLE_262102 tptp.char)) (= (= BOUND_VARIABLE_262101 BOUND_VARIABLE_262102) (ll_533 BOUND_VARIABLE_262101 BOUND_VARIABLE_262102))))) (let ((_let_19438 (forall ((BOUND_VARIABLE_262094 tptp.char) (BOUND_VARIABLE_262095 tptp.char)) (= (= BOUND_VARIABLE_262094 BOUND_VARIABLE_262095) (ll_532 BOUND_VARIABLE_262094 BOUND_VARIABLE_262095))))) (let ((_let_19439 (forall ((BOUND_VARIABLE_262087 tptp.char) (BOUND_VARIABLE_262088 tptp.char)) (= (= BOUND_VARIABLE_262087 BOUND_VARIABLE_262088) (ll_531 BOUND_VARIABLE_262087 BOUND_VARIABLE_262088))))) (let ((_let_19440 (forall ((BOUND_VARIABLE_262080 tptp.char) (BOUND_VARIABLE_262081 tptp.char)) (= (= BOUND_VARIABLE_262080 BOUND_VARIABLE_262081) (ll_530 BOUND_VARIABLE_262080 BOUND_VARIABLE_262081))))) (let ((_let_19441 (forall ((BOUND_VARIABLE_262073 tptp.char) (BOUND_VARIABLE_262074 tptp.char)) (= (= BOUND_VARIABLE_262073 BOUND_VARIABLE_262074) (ll_529 BOUND_VARIABLE_262073 BOUND_VARIABLE_262074))))) (let ((_let_19442 (forall ((BOUND_VARIABLE_262066 tptp.char) (BOUND_VARIABLE_262067 tptp.char)) (= (= BOUND_VARIABLE_262066 BOUND_VARIABLE_262067) (ll_528 BOUND_VARIABLE_262066 BOUND_VARIABLE_262067))))) (let ((_let_19443 (forall ((BOUND_VARIABLE_262059 tptp.char) (BOUND_VARIABLE_262060 tptp.char)) (= (= BOUND_VARIABLE_262059 BOUND_VARIABLE_262060) (ll_527 BOUND_VARIABLE_262059 BOUND_VARIABLE_262060))))) (let ((_let_19444 (forall ((BOUND_VARIABLE_262052 tptp.char) (BOUND_VARIABLE_262053 tptp.char)) (= (= BOUND_VARIABLE_262052 BOUND_VARIABLE_262053) (ll_526 BOUND_VARIABLE_262052 BOUND_VARIABLE_262053))))) (let ((_let_19445 (forall ((BOUND_VARIABLE_262045 tptp.char) (BOUND_VARIABLE_262046 tptp.char)) (= (= BOUND_VARIABLE_262045 BOUND_VARIABLE_262046) (ll_525 BOUND_VARIABLE_262045 BOUND_VARIABLE_262046))))) (let ((_let_19446 (forall ((BOUND_VARIABLE_262038 tptp.char) (BOUND_VARIABLE_262039 tptp.char)) (= (= BOUND_VARIABLE_262038 BOUND_VARIABLE_262039) (ll_524 BOUND_VARIABLE_262038 BOUND_VARIABLE_262039))))) (let ((_let_19447 (forall ((BOUND_VARIABLE_262031 tptp.char) (BOUND_VARIABLE_262032 tptp.char)) (= (= BOUND_VARIABLE_262031 BOUND_VARIABLE_262032) (ll_523 BOUND_VARIABLE_262031 BOUND_VARIABLE_262032))))) (let ((_let_19448 (forall ((BOUND_VARIABLE_262024 tptp.char) (BOUND_VARIABLE_262025 tptp.char)) (= (= BOUND_VARIABLE_262024 BOUND_VARIABLE_262025) (ll_522 BOUND_VARIABLE_262024 BOUND_VARIABLE_262025))))) (let ((_let_19449 (forall ((BOUND_VARIABLE_262017 tptp.char) (BOUND_VARIABLE_262018 tptp.char)) (= (= BOUND_VARIABLE_262017 BOUND_VARIABLE_262018) (ll_521 BOUND_VARIABLE_262017 BOUND_VARIABLE_262018))))) (let ((_let_19450 (forall ((BOUND_VARIABLE_262010 tptp.char) (BOUND_VARIABLE_262011 tptp.char)) (= (= BOUND_VARIABLE_262010 BOUND_VARIABLE_262011) (ll_520 BOUND_VARIABLE_262010 BOUND_VARIABLE_262011))))) (let ((_let_19451 (forall ((BOUND_VARIABLE_262003 tptp.char) (BOUND_VARIABLE_262004 tptp.char)) (= (= BOUND_VARIABLE_262003 BOUND_VARIABLE_262004) (ll_519 BOUND_VARIABLE_262003 BOUND_VARIABLE_262004))))) (let ((_let_19452 (forall ((BOUND_VARIABLE_261996 tptp.char) (BOUND_VARIABLE_261997 tptp.char)) (= (= BOUND_VARIABLE_261996 BOUND_VARIABLE_261997) (ll_518 BOUND_VARIABLE_261996 BOUND_VARIABLE_261997))))) (let ((_let_19453 (forall ((BOUND_VARIABLE_261989 tptp.char) (BOUND_VARIABLE_261990 tptp.char)) (= (= BOUND_VARIABLE_261989 BOUND_VARIABLE_261990) (ll_517 BOUND_VARIABLE_261989 BOUND_VARIABLE_261990))))) (let ((_let_19454 (forall ((BOUND_VARIABLE_261982 tptp.char) (BOUND_VARIABLE_261983 tptp.char)) (= (= BOUND_VARIABLE_261982 BOUND_VARIABLE_261983) (ll_516 BOUND_VARIABLE_261982 BOUND_VARIABLE_261983))))) (let ((_let_19455 (forall ((BOUND_VARIABLE_261977 tptp.char)) (= tptp.top_top_set_int (ll_515 BOUND_VARIABLE_261977))))) (let ((_let_19456 (forall ((BOUND_VARIABLE_261972 tptp.char)) (= (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int) (ll_514 BOUND_VARIABLE_261972))))) (let ((_let_19457 (forall ((BOUND_VARIABLE_261965 tptp.char)) (= (@ (@ tptp.image_nat_rat ll_496) (@ (@ tptp.image_int_nat tptp.nat_int_encode) tptp.top_top_set_int)) (ll_513 BOUND_VARIABLE_261965))))) (let ((_let_19458 (forall ((BOUND_VARIABLE_261960 tptp.char)) (= (@ (@ tptp.image_nat_char tptp.unique3096191561947761185of_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (@ tptp.numeral_numeral_nat (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 (@ tptp.bit0 tptp.one))))))))))) (ll_512 BOUND_VARIABLE_261960))))) (let ((_let_19459 (forall ((BOUND_VARIABLE_261951 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261952 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261953 tptp.nat)) (= (@ BOUND_VARIABLE_261951 (@ BOUND_VARIABLE_261952 BOUND_VARIABLE_261953)) (ll_511 BOUND_VARIABLE_261951 BOUND_VARIABLE_261952 BOUND_VARIABLE_261953))))) (let ((_let_19460 (forall ((BOUND_VARIABLE_261940 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261941 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261942 tptp.code_integer) (BOUND_VARIABLE_261943 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261940 (@ BOUND_VARIABLE_261941 BOUND_VARIABLE_261942)) BOUND_VARIABLE_261943) (ll_510 BOUND_VARIABLE_261940 BOUND_VARIABLE_261941 BOUND_VARIABLE_261942 BOUND_VARIABLE_261943))))) (let ((_let_19461 (forall ((BOUND_VARIABLE_261931 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261932 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261933 tptp.int)) (= (@ BOUND_VARIABLE_261931 (@ BOUND_VARIABLE_261932 BOUND_VARIABLE_261933)) (ll_509 BOUND_VARIABLE_261931 BOUND_VARIABLE_261932 BOUND_VARIABLE_261933))))) (let ((_let_19462 (forall ((BOUND_VARIABLE_261922 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261923 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261924 tptp.nat)) (= (@ BOUND_VARIABLE_261922 (@ BOUND_VARIABLE_261923 BOUND_VARIABLE_261924)) (ll_508 BOUND_VARIABLE_261922 BOUND_VARIABLE_261923 BOUND_VARIABLE_261924))))) (let ((_let_19463 (forall ((BOUND_VARIABLE_261914 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261915 tptp.nat)) (= (@ tptp.id_nat (@ BOUND_VARIABLE_261914 BOUND_VARIABLE_261915)) (ll_507 BOUND_VARIABLE_261914 BOUND_VARIABLE_261915))))) (let ((_let_19464 (forall ((BOUND_VARIABLE_261905 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261906 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261907 tptp.int)) (= (@ BOUND_VARIABLE_261905 (@ BOUND_VARIABLE_261906 BOUND_VARIABLE_261907)) (ll_506 BOUND_VARIABLE_261905 BOUND_VARIABLE_261906 BOUND_VARIABLE_261907))))) (let ((_let_19465 (forall ((BOUND_VARIABLE_261896 (-> Bool Bool)) (BOUND_VARIABLE_261897 (-> tptp.nat Bool)) (BOUND_VARIABLE_261898 tptp.nat)) (= (@ BOUND_VARIABLE_261896 (@ BOUND_VARIABLE_261897 BOUND_VARIABLE_261898)) (ll_505 BOUND_VARIABLE_261896 BOUND_VARIABLE_261897 BOUND_VARIABLE_261898))))) (let ((_let_19466 (forall ((BOUND_VARIABLE_261888 (-> tptp.nat Bool)) (BOUND_VARIABLE_261889 tptp.nat)) (= (@ tptp.id_o (@ BOUND_VARIABLE_261888 BOUND_VARIABLE_261889)) (ll_504 BOUND_VARIABLE_261888 BOUND_VARIABLE_261889))))) (let ((_let_19467 (forall ((BOUND_VARIABLE_261881 tptp.int) (BOUND_VARIABLE_261882 tptp.int)) (= (= BOUND_VARIABLE_261881 BOUND_VARIABLE_261882) (ll_503 BOUND_VARIABLE_261881 BOUND_VARIABLE_261882))))) (let ((_let_19468 (forall ((BOUND_VARIABLE_261874 tptp.nat) (BOUND_VARIABLE_261875 tptp.nat)) (= (= BOUND_VARIABLE_261874 BOUND_VARIABLE_261875) (ll_502 BOUND_VARIABLE_261874 BOUND_VARIABLE_261875))))) (let ((_let_19469 (forall ((BOUND_VARIABLE_261867 tptp.rat) (BOUND_VARIABLE_261868 tptp.rat)) (= (= BOUND_VARIABLE_261867 BOUND_VARIABLE_261868) (ll_501 BOUND_VARIABLE_261867 BOUND_VARIABLE_261868))))) (let ((_let_19470 (forall ((BOUND_VARIABLE_261860 tptp.list_nat) (BOUND_VARIABLE_261861 tptp.list_nat)) (= (= BOUND_VARIABLE_261860 BOUND_VARIABLE_261861) (ll_500 BOUND_VARIABLE_261860 BOUND_VARIABLE_261861))))) (let ((_let_19471 (forall ((BOUND_VARIABLE_261853 tptp.char) (BOUND_VARIABLE_261854 tptp.char)) (= (= BOUND_VARIABLE_261853 BOUND_VARIABLE_261854) (ll_499 BOUND_VARIABLE_261853 BOUND_VARIABLE_261854))))) (let ((_let_19472 (forall ((BOUND_VARIABLE_261846 tptp.num) (BOUND_VARIABLE_261847 tptp.num)) (= (= BOUND_VARIABLE_261846 BOUND_VARIABLE_261847) (ll_498 BOUND_VARIABLE_261846 BOUND_VARIABLE_261847))))) (let ((_let_19473 (forall ((BOUND_VARIABLE_261839 Bool) (BOUND_VARIABLE_261840 Bool)) (= (= BOUND_VARIABLE_261839 BOUND_VARIABLE_261840) (ll_497 BOUND_VARIABLE_261839 BOUND_VARIABLE_261840))))) (let ((_let_19474 (forall ((BOUND_VARIABLE_261827 tptp.nat)) (= (ll_496 BOUND_VARIABLE_261827) (@ (@ tptp.produc6207742614233964070at_rat ll_3315) (@ tptp.nat_prod_decode BOUND_VARIABLE_261827)))))) (let ((_let_19475 (forall ((BOUND_VARIABLE_261819 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261820 tptp.nat)) (= (@ tptp.id_nat (@ BOUND_VARIABLE_261819 BOUND_VARIABLE_261820)) (ll_495 BOUND_VARIABLE_261819 BOUND_VARIABLE_261820))))) (let ((_let_19476 (forall ((BOUND_VARIABLE_261811 (-> tptp.nat Bool)) (BOUND_VARIABLE_261812 tptp.nat)) (= (@ tptp.id_o (@ BOUND_VARIABLE_261811 BOUND_VARIABLE_261812)) (ll_494 BOUND_VARIABLE_261811 BOUND_VARIABLE_261812))))) (let ((_let_19477 (forall ((BOUND_VARIABLE_261803 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261804 tptp.int)) (= (@ BOUND_VARIABLE_261803 (@ tptp.id_int BOUND_VARIABLE_261804)) (ll_493 BOUND_VARIABLE_261803 BOUND_VARIABLE_261804))))) (let ((_let_19478 (forall ((BOUND_VARIABLE_261795 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261796 tptp.nat)) (= (@ BOUND_VARIABLE_261795 (@ tptp.id_nat BOUND_VARIABLE_261796)) (ll_492 BOUND_VARIABLE_261795 BOUND_VARIABLE_261796))))) (let ((_let_19479 (forall ((BOUND_VARIABLE_261787 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261788 tptp.nat)) (= (@ tptp.id_nat (@ BOUND_VARIABLE_261787 BOUND_VARIABLE_261788)) (ll_491 BOUND_VARIABLE_261787 BOUND_VARIABLE_261788))))) (let ((_let_19480 (forall ((BOUND_VARIABLE_261779 (-> tptp.nat Bool)) (BOUND_VARIABLE_261780 tptp.nat)) (= (@ tptp.id_o (@ BOUND_VARIABLE_261779 BOUND_VARIABLE_261780)) (ll_490 BOUND_VARIABLE_261779 BOUND_VARIABLE_261780))))) (let ((_let_19481 (forall ((BOUND_VARIABLE_261766 tptp.set_int) (BOUND_VARIABLE_261767 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261768 tptp.product_prod_int_int)) (= (@ (@ (@ (@ tptp.bNF_Grp_int_int BOUND_VARIABLE_261766) BOUND_VARIABLE_261767) (@ tptp.product_fst_int_int BOUND_VARIABLE_261768)) (@ tptp.product_snd_int_int BOUND_VARIABLE_261768)) (ll_489 BOUND_VARIABLE_261766 BOUND_VARIABLE_261767 BOUND_VARIABLE_261768))))) (let ((_let_19482 (forall ((BOUND_VARIABLE_261753 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_261754 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_261755 (-> tptp.int tptp.num)) (BOUND_VARIABLE_261756 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_261753) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_261755) BOUND_VARIABLE_261756) BOUND_VARIABLE_261754)) (ll_488 BOUND_VARIABLE_261753 BOUND_VARIABLE_261754 BOUND_VARIABLE_261755 BOUND_VARIABLE_261756))))) (let ((_let_19483 (forall ((BOUND_VARIABLE_261740 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_261741 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_261742 (-> tptp.int tptp.num)) (BOUND_VARIABLE_261743 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6124364862034508274_num_o (@ (@ (@ tptp.bNF_Gr7020624548710275655nt_num BOUND_VARIABLE_261742) BOUND_VARIABLE_261743) BOUND_VARIABLE_261740)) BOUND_VARIABLE_261741) (ll_487 BOUND_VARIABLE_261740 BOUND_VARIABLE_261741 BOUND_VARIABLE_261742 BOUND_VARIABLE_261743))))) (let ((_let_19484 (forall ((BOUND_VARIABLE_261727 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_261728 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_261729 (-> tptp.int tptp.num)) (BOUND_VARIABLE_261730 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_261727) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_261729) BOUND_VARIABLE_261730) BOUND_VARIABLE_261728)) (ll_486 BOUND_VARIABLE_261727 BOUND_VARIABLE_261728 BOUND_VARIABLE_261729 BOUND_VARIABLE_261730))))) (let ((_let_19485 (forall ((BOUND_VARIABLE_261714 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_261715 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_261716 (-> tptp.int tptp.num)) (BOUND_VARIABLE_261717 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le6124364862034508274_num_o (@ (@ (@ tptp.bNF_Gr166583433173494904er_num BOUND_VARIABLE_261716) BOUND_VARIABLE_261717) BOUND_VARIABLE_261714)) BOUND_VARIABLE_261715) (ll_485 BOUND_VARIABLE_261714 BOUND_VARIABLE_261715 BOUND_VARIABLE_261716 BOUND_VARIABLE_261717))))) (let ((_let_19486 (forall ((BOUND_VARIABLE_261701 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_261702 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (BOUND_VARIABLE_261703 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_261704 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_261701) (@ (@ (@ tptp.bNF_vi5082502771524357669nt_o_o BOUND_VARIABLE_261703) BOUND_VARIABLE_261704) BOUND_VARIABLE_261702)) (ll_484 BOUND_VARIABLE_261701 BOUND_VARIABLE_261702 BOUND_VARIABLE_261703 BOUND_VARIABLE_261704))))) (let ((_let_19487 (forall ((BOUND_VARIABLE_261688 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_261689 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (BOUND_VARIABLE_261690 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_261691 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.ord_le2932013042137311317nt_o_o (@ (@ (@ tptp.bNF_Gr364077372107685167_int_o BOUND_VARIABLE_261690) BOUND_VARIABLE_261691) BOUND_VARIABLE_261688)) BOUND_VARIABLE_261689) (ll_483 BOUND_VARIABLE_261688 BOUND_VARIABLE_261689 BOUND_VARIABLE_261690 BOUND_VARIABLE_261691))))) (let ((_let_19488 (forall ((BOUND_VARIABLE_261675 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_261676 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (BOUND_VARIABLE_261677 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_261678 (-> tptp.int tptp.int tptp.int))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_261675) (@ (@ (@ tptp.bNF_vi8966365312794588230_int_o BOUND_VARIABLE_261677) BOUND_VARIABLE_261678) BOUND_VARIABLE_261676)) (ll_482 BOUND_VARIABLE_261675 BOUND_VARIABLE_261676 BOUND_VARIABLE_261677 BOUND_VARIABLE_261678))))) (let ((_let_19489 (forall ((BOUND_VARIABLE_261662 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_261663 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (BOUND_VARIABLE_261664 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_261665 (-> tptp.int tptp.int tptp.int))) (= (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ (@ tptp.bNF_Gr1354378531936274772nt_int BOUND_VARIABLE_261664) BOUND_VARIABLE_261665) BOUND_VARIABLE_261662)) BOUND_VARIABLE_261663) (ll_481 BOUND_VARIABLE_261662 BOUND_VARIABLE_261663 BOUND_VARIABLE_261664 BOUND_VARIABLE_261665))))) (let ((_let_19490 (forall ((BOUND_VARIABLE_261649 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_261650 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_261651 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_261652 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_261649) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_261651) BOUND_VARIABLE_261652) BOUND_VARIABLE_261650)) (ll_480 BOUND_VARIABLE_261649 BOUND_VARIABLE_261650 BOUND_VARIABLE_261651 BOUND_VARIABLE_261652))))) (let ((_let_19491 (forall ((BOUND_VARIABLE_261636 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_261637 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_261638 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_261639 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le2646555220125990790_nat_o (@ (@ (@ tptp.bNF_Gr6955563364113978072nt_nat BOUND_VARIABLE_261638) BOUND_VARIABLE_261639) BOUND_VARIABLE_261636)) BOUND_VARIABLE_261637) (ll_479 BOUND_VARIABLE_261636 BOUND_VARIABLE_261637 BOUND_VARIABLE_261638 BOUND_VARIABLE_261639))))) (let ((_let_19492 (forall ((BOUND_VARIABLE_261627 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261628 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261629 tptp.nat)) (= (@ BOUND_VARIABLE_261627 (@ BOUND_VARIABLE_261628 BOUND_VARIABLE_261629)) (ll_478 BOUND_VARIABLE_261627 BOUND_VARIABLE_261628 BOUND_VARIABLE_261629))))) (let ((_let_19493 (forall ((BOUND_VARIABLE_261618 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261619 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261620 tptp.int)) (= (@ BOUND_VARIABLE_261618 (@ BOUND_VARIABLE_261619 BOUND_VARIABLE_261620)) (ll_477 BOUND_VARIABLE_261618 BOUND_VARIABLE_261619 BOUND_VARIABLE_261620))))) (let ((_let_19494 (forall ((BOUND_VARIABLE_261609 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261610 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261611 tptp.int)) (= (@ BOUND_VARIABLE_261609 (@ BOUND_VARIABLE_261610 BOUND_VARIABLE_261611)) (ll_476 BOUND_VARIABLE_261609 BOUND_VARIABLE_261610 BOUND_VARIABLE_261611))))) (let ((_let_19495 (forall ((BOUND_VARIABLE_261600 (-> Bool Bool)) (BOUND_VARIABLE_261601 (-> tptp.nat Bool)) (BOUND_VARIABLE_261602 tptp.nat)) (= (@ BOUND_VARIABLE_261600 (@ BOUND_VARIABLE_261601 BOUND_VARIABLE_261602)) (ll_475 BOUND_VARIABLE_261600 BOUND_VARIABLE_261601 BOUND_VARIABLE_261602))))) (let ((_let_19496 (forall ((BOUND_VARIABLE_261591 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261592 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261593 tptp.int)) (= (@ BOUND_VARIABLE_261591 (@ BOUND_VARIABLE_261592 BOUND_VARIABLE_261593)) (ll_474 BOUND_VARIABLE_261591 BOUND_VARIABLE_261592 BOUND_VARIABLE_261593))))) (let ((_let_19497 (forall ((BOUND_VARIABLE_261582 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261583 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261584 tptp.nat)) (= (@ BOUND_VARIABLE_261582 (@ BOUND_VARIABLE_261583 BOUND_VARIABLE_261584)) (ll_473 BOUND_VARIABLE_261582 BOUND_VARIABLE_261583 BOUND_VARIABLE_261584))))) (let ((_let_19498 (forall ((BOUND_VARIABLE_261573 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261574 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261575 tptp.int)) (= (@ BOUND_VARIABLE_261573 (@ BOUND_VARIABLE_261574 BOUND_VARIABLE_261575)) (ll_472 BOUND_VARIABLE_261573 BOUND_VARIABLE_261574 BOUND_VARIABLE_261575))))) (let ((_let_19499 (forall ((BOUND_VARIABLE_261564 (-> Bool Bool)) (BOUND_VARIABLE_261565 (-> tptp.nat Bool)) (BOUND_VARIABLE_261566 tptp.nat)) (= (@ BOUND_VARIABLE_261564 (@ BOUND_VARIABLE_261565 BOUND_VARIABLE_261566)) (ll_471 BOUND_VARIABLE_261564 BOUND_VARIABLE_261565 BOUND_VARIABLE_261566))))) (let ((_let_19500 (forall ((BOUND_VARIABLE_261550 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261551 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261552 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261553 tptp.code_integer) (BOUND_VARIABLE_261554 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261550 (@ (@ (@ tptp.comp_C2822359487432382964nteger BOUND_VARIABLE_261551) BOUND_VARIABLE_261552) BOUND_VARIABLE_261553)) BOUND_VARIABLE_261554) (ll_470 BOUND_VARIABLE_261550 BOUND_VARIABLE_261551 BOUND_VARIABLE_261552 BOUND_VARIABLE_261553 BOUND_VARIABLE_261554))))) (let ((_let_19501 (forall ((BOUND_VARIABLE_261536 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261537 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261538 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261539 tptp.code_integer) (BOUND_VARIABLE_261540 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ (@ tptp.comp_C3983183376822107068nteger BOUND_VARIABLE_261536) BOUND_VARIABLE_261537) (@ BOUND_VARIABLE_261538 BOUND_VARIABLE_261539)) BOUND_VARIABLE_261540) (ll_469 BOUND_VARIABLE_261536 BOUND_VARIABLE_261537 BOUND_VARIABLE_261538 BOUND_VARIABLE_261539 BOUND_VARIABLE_261540))))) (let ((_let_19502 (forall ((BOUND_VARIABLE_261522 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261523 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261524 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261525 tptp.code_integer) (BOUND_VARIABLE_261526 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261522 (@ (@ (@ tptp.comp_C2931745410781319416nteger BOUND_VARIABLE_261523) BOUND_VARIABLE_261524) BOUND_VARIABLE_261525)) BOUND_VARIABLE_261526) (ll_468 BOUND_VARIABLE_261522 BOUND_VARIABLE_261523 BOUND_VARIABLE_261524 BOUND_VARIABLE_261525 BOUND_VARIABLE_261526))))) (let ((_let_19503 (forall ((BOUND_VARIABLE_261511 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261512 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261513 tptp.code_integer) (BOUND_VARIABLE_261514 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261511 (@ BOUND_VARIABLE_261512 BOUND_VARIABLE_261513)) BOUND_VARIABLE_261514) (ll_467 BOUND_VARIABLE_261511 BOUND_VARIABLE_261512 BOUND_VARIABLE_261513 BOUND_VARIABLE_261514))))) (let ((_let_19504 (forall ((BOUND_VARIABLE_261499 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261500 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261501 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261502 tptp.int)) (= (@ BOUND_VARIABLE_261499 (@ (@ (@ tptp.comp_int_int_int BOUND_VARIABLE_261500) BOUND_VARIABLE_261501) BOUND_VARIABLE_261502)) (ll_466 BOUND_VARIABLE_261499 BOUND_VARIABLE_261500 BOUND_VARIABLE_261501 BOUND_VARIABLE_261502))))) (let ((_let_19505 (forall ((BOUND_VARIABLE_261488 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261489 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261490 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261491 tptp.int)) (= (@ BOUND_VARIABLE_261488 (@ BOUND_VARIABLE_261489 (@ BOUND_VARIABLE_261490 BOUND_VARIABLE_261491))) (ll_465 BOUND_VARIABLE_261488 BOUND_VARIABLE_261489 BOUND_VARIABLE_261490 BOUND_VARIABLE_261491))))) (let ((_let_19506 (forall ((BOUND_VARIABLE_261477 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261478 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261479 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261480 tptp.int)) (= (@ BOUND_VARIABLE_261477 (@ BOUND_VARIABLE_261478 (@ BOUND_VARIABLE_261479 BOUND_VARIABLE_261480))) (ll_464 BOUND_VARIABLE_261477 BOUND_VARIABLE_261478 BOUND_VARIABLE_261479 BOUND_VARIABLE_261480))))) (let ((_let_19507 (forall ((BOUND_VARIABLE_261468 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261469 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261470 tptp.int)) (= (@ BOUND_VARIABLE_261468 (@ BOUND_VARIABLE_261469 BOUND_VARIABLE_261470)) (ll_463 BOUND_VARIABLE_261468 BOUND_VARIABLE_261469 BOUND_VARIABLE_261470))))) (let ((_let_19508 (forall ((BOUND_VARIABLE_261456 (-> Bool Bool)) (BOUND_VARIABLE_261457 (-> tptp.nat Bool)) (BOUND_VARIABLE_261458 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261459 tptp.nat)) (= (@ BOUND_VARIABLE_261456 (@ (@ (@ tptp.comp_nat_o_nat BOUND_VARIABLE_261457) BOUND_VARIABLE_261458) BOUND_VARIABLE_261459)) (ll_462 BOUND_VARIABLE_261456 BOUND_VARIABLE_261457 BOUND_VARIABLE_261458 BOUND_VARIABLE_261459))))) (let ((_let_19509 (forall ((BOUND_VARIABLE_261447 (-> Bool Bool)) (BOUND_VARIABLE_261448 (-> tptp.nat Bool)) (BOUND_VARIABLE_261449 tptp.nat)) (= (@ BOUND_VARIABLE_261447 (@ BOUND_VARIABLE_261448 BOUND_VARIABLE_261449)) (ll_461 BOUND_VARIABLE_261447 BOUND_VARIABLE_261448 BOUND_VARIABLE_261449))))) (let ((_let_19510 (forall ((BOUND_VARIABLE_261435 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261436 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261437 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261438 tptp.int)) (= (@ BOUND_VARIABLE_261435 (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_261436) BOUND_VARIABLE_261437) BOUND_VARIABLE_261438)) (ll_460 BOUND_VARIABLE_261435 BOUND_VARIABLE_261436 BOUND_VARIABLE_261437 BOUND_VARIABLE_261438))))) (let ((_let_19511 (forall ((BOUND_VARIABLE_261423 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261424 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261425 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261426 tptp.int)) (= (@ (@ (@ tptp.comp_nat_num_nat BOUND_VARIABLE_261423) BOUND_VARIABLE_261424) (@ BOUND_VARIABLE_261425 BOUND_VARIABLE_261426)) (ll_459 BOUND_VARIABLE_261423 BOUND_VARIABLE_261424 BOUND_VARIABLE_261425 BOUND_VARIABLE_261426))))) (let ((_let_19512 (forall ((BOUND_VARIABLE_261412 (-> Bool Bool)) (BOUND_VARIABLE_261413 (-> Bool Bool)) (BOUND_VARIABLE_261414 (-> tptp.nat Bool)) (BOUND_VARIABLE_261415 tptp.nat)) (= (@ BOUND_VARIABLE_261412 (@ BOUND_VARIABLE_261413 (@ BOUND_VARIABLE_261414 BOUND_VARIABLE_261415))) (ll_458 BOUND_VARIABLE_261412 BOUND_VARIABLE_261413 BOUND_VARIABLE_261414 BOUND_VARIABLE_261415))))) (let ((_let_19513 (forall ((BOUND_VARIABLE_261400 (-> Bool Bool)) (BOUND_VARIABLE_261401 (-> Bool Bool)) (BOUND_VARIABLE_261402 (-> tptp.nat Bool)) (BOUND_VARIABLE_261403 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_261400) BOUND_VARIABLE_261401) (@ BOUND_VARIABLE_261402 BOUND_VARIABLE_261403)) (ll_457 BOUND_VARIABLE_261400 BOUND_VARIABLE_261401 BOUND_VARIABLE_261402 BOUND_VARIABLE_261403))))) (let ((_let_19514 (forall ((BOUND_VARIABLE_261391 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261392 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261393 tptp.int)) (= (@ BOUND_VARIABLE_261391 (@ BOUND_VARIABLE_261392 BOUND_VARIABLE_261393)) (ll_456 BOUND_VARIABLE_261391 BOUND_VARIABLE_261392 BOUND_VARIABLE_261393))))) (let ((_let_19515 (forall ((BOUND_VARIABLE_261379 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261380 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261381 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261382 tptp.int)) (= (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_261379) BOUND_VARIABLE_261380) (@ BOUND_VARIABLE_261381 BOUND_VARIABLE_261382)) (ll_455 BOUND_VARIABLE_261379 BOUND_VARIABLE_261380 BOUND_VARIABLE_261381 BOUND_VARIABLE_261382))))) (let ((_let_19516 (forall ((BOUND_VARIABLE_261370 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261371 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261372 tptp.int)) (= (@ BOUND_VARIABLE_261370 (@ BOUND_VARIABLE_261371 BOUND_VARIABLE_261372)) (ll_454 BOUND_VARIABLE_261370 BOUND_VARIABLE_261371 BOUND_VARIABLE_261372))))) (let ((_let_19517 (forall ((BOUND_VARIABLE_261358 (-> tptp.num tptp.num)) (BOUND_VARIABLE_261359 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261360 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261361 tptp.int)) (= (@ (@ (@ tptp.comp_num_num_nat BOUND_VARIABLE_261358) BOUND_VARIABLE_261359) (@ BOUND_VARIABLE_261360 BOUND_VARIABLE_261361)) (ll_453 BOUND_VARIABLE_261358 BOUND_VARIABLE_261359 BOUND_VARIABLE_261360 BOUND_VARIABLE_261361))))) (let ((_let_19518 (forall ((BOUND_VARIABLE_261344 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261345 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261346 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261347 tptp.code_integer) (BOUND_VARIABLE_261348 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ (@ tptp.comp_C3983183376822107068nteger BOUND_VARIABLE_261344) BOUND_VARIABLE_261345) (@ BOUND_VARIABLE_261346 BOUND_VARIABLE_261347)) BOUND_VARIABLE_261348) (ll_452 BOUND_VARIABLE_261344 BOUND_VARIABLE_261345 BOUND_VARIABLE_261346 BOUND_VARIABLE_261347 BOUND_VARIABLE_261348))))) (let ((_let_19519 (forall ((BOUND_VARIABLE_261330 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261331 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261332 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261333 tptp.code_integer) (BOUND_VARIABLE_261334 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261330 (@ (@ (@ tptp.comp_C2822359487432382964nteger BOUND_VARIABLE_261331) BOUND_VARIABLE_261332) BOUND_VARIABLE_261333)) BOUND_VARIABLE_261334) (ll_451 BOUND_VARIABLE_261330 BOUND_VARIABLE_261331 BOUND_VARIABLE_261332 BOUND_VARIABLE_261333 BOUND_VARIABLE_261334))))) (let ((_let_19520 (forall ((BOUND_VARIABLE_261319 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261320 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261321 tptp.code_integer) (BOUND_VARIABLE_261322 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261319 (@ BOUND_VARIABLE_261320 BOUND_VARIABLE_261321)) BOUND_VARIABLE_261322) (ll_450 BOUND_VARIABLE_261319 BOUND_VARIABLE_261320 BOUND_VARIABLE_261321 BOUND_VARIABLE_261322))))) (let ((_let_19521 (forall ((BOUND_VARIABLE_261305 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_261306 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261307 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_261308 tptp.code_integer) (BOUND_VARIABLE_261309 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_261305 (@ (@ (@ tptp.comp_C2931745410781319416nteger BOUND_VARIABLE_261306) BOUND_VARIABLE_261307) BOUND_VARIABLE_261308)) BOUND_VARIABLE_261309) (ll_449 BOUND_VARIABLE_261305 BOUND_VARIABLE_261306 BOUND_VARIABLE_261307 BOUND_VARIABLE_261308 BOUND_VARIABLE_261309))))) (let ((_let_19522 (forall ((BOUND_VARIABLE_261293 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261294 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261295 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261296 tptp.int)) (= (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_261293) BOUND_VARIABLE_261294) (@ BOUND_VARIABLE_261295 BOUND_VARIABLE_261296)) (ll_448 BOUND_VARIABLE_261293 BOUND_VARIABLE_261294 BOUND_VARIABLE_261295 BOUND_VARIABLE_261296))))) (let ((_let_19523 (forall ((BOUND_VARIABLE_261284 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261285 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261286 tptp.int)) (= (@ BOUND_VARIABLE_261284 (@ BOUND_VARIABLE_261285 BOUND_VARIABLE_261286)) (ll_447 BOUND_VARIABLE_261284 BOUND_VARIABLE_261285 BOUND_VARIABLE_261286))))) (let ((_let_19524 (forall ((BOUND_VARIABLE_261275 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261276 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261277 tptp.int)) (= (@ BOUND_VARIABLE_261275 (@ BOUND_VARIABLE_261276 BOUND_VARIABLE_261277)) (ll_446 BOUND_VARIABLE_261275 BOUND_VARIABLE_261276 BOUND_VARIABLE_261277))))) (let ((_let_19525 (forall ((BOUND_VARIABLE_261264 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261265 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261266 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261267 tptp.int)) (= (@ BOUND_VARIABLE_261264 (@ BOUND_VARIABLE_261265 (@ BOUND_VARIABLE_261266 BOUND_VARIABLE_261267))) (ll_445 BOUND_VARIABLE_261264 BOUND_VARIABLE_261265 BOUND_VARIABLE_261266 BOUND_VARIABLE_261267))))) (let ((_let_19526 (forall ((BOUND_VARIABLE_261252 (-> tptp.num tptp.num)) (BOUND_VARIABLE_261253 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261254 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261255 tptp.int)) (= (@ (@ (@ tptp.comp_num_num_nat BOUND_VARIABLE_261252) BOUND_VARIABLE_261253) (@ BOUND_VARIABLE_261254 BOUND_VARIABLE_261255)) (ll_444 BOUND_VARIABLE_261252 BOUND_VARIABLE_261253 BOUND_VARIABLE_261254 BOUND_VARIABLE_261255))))) (let ((_let_19527 (forall ((BOUND_VARIABLE_261243 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261244 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261245 tptp.int)) (= (@ BOUND_VARIABLE_261243 (@ BOUND_VARIABLE_261244 BOUND_VARIABLE_261245)) (ll_443 BOUND_VARIABLE_261243 BOUND_VARIABLE_261244 BOUND_VARIABLE_261245))))) (let ((_let_19528 (forall ((BOUND_VARIABLE_261231 (-> Bool Bool)) (BOUND_VARIABLE_261232 (-> Bool Bool)) (BOUND_VARIABLE_261233 (-> tptp.nat Bool)) (BOUND_VARIABLE_261234 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_261231) BOUND_VARIABLE_261232) (@ BOUND_VARIABLE_261233 BOUND_VARIABLE_261234)) (ll_442 BOUND_VARIABLE_261231 BOUND_VARIABLE_261232 BOUND_VARIABLE_261233 BOUND_VARIABLE_261234))))) (let ((_let_19529 (forall ((BOUND_VARIABLE_261220 (-> Bool Bool)) (BOUND_VARIABLE_261221 (-> Bool Bool)) (BOUND_VARIABLE_261222 (-> tptp.nat Bool)) (BOUND_VARIABLE_261223 tptp.nat)) (= (@ BOUND_VARIABLE_261220 (@ BOUND_VARIABLE_261221 (@ BOUND_VARIABLE_261222 BOUND_VARIABLE_261223))) (ll_441 BOUND_VARIABLE_261220 BOUND_VARIABLE_261221 BOUND_VARIABLE_261222 BOUND_VARIABLE_261223))))) (let ((_let_19530 (forall ((BOUND_VARIABLE_261209 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261210 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261211 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261212 tptp.int)) (= (@ BOUND_VARIABLE_261209 (@ BOUND_VARIABLE_261210 (@ BOUND_VARIABLE_261211 BOUND_VARIABLE_261212))) (ll_440 BOUND_VARIABLE_261209 BOUND_VARIABLE_261210 BOUND_VARIABLE_261211 BOUND_VARIABLE_261212))))) (let ((_let_19531 (forall ((BOUND_VARIABLE_261197 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261198 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261199 (-> tptp.int tptp.int)) (BOUND_VARIABLE_261200 tptp.int)) (= (@ BOUND_VARIABLE_261197 (@ (@ (@ tptp.comp_int_int_int BOUND_VARIABLE_261198) BOUND_VARIABLE_261199) BOUND_VARIABLE_261200)) (ll_439 BOUND_VARIABLE_261197 BOUND_VARIABLE_261198 BOUND_VARIABLE_261199 BOUND_VARIABLE_261200))))) (let ((_let_19532 (forall ((BOUND_VARIABLE_261185 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261186 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261187 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261188 tptp.int)) (= (@ (@ (@ tptp.comp_nat_num_nat BOUND_VARIABLE_261185) BOUND_VARIABLE_261186) (@ BOUND_VARIABLE_261187 BOUND_VARIABLE_261188)) (ll_438 BOUND_VARIABLE_261185 BOUND_VARIABLE_261186 BOUND_VARIABLE_261187 BOUND_VARIABLE_261188))))) (let ((_let_19533 (forall ((BOUND_VARIABLE_261173 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261174 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261175 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261176 tptp.int)) (= (@ BOUND_VARIABLE_261173 (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_261174) BOUND_VARIABLE_261175) BOUND_VARIABLE_261176)) (ll_437 BOUND_VARIABLE_261173 BOUND_VARIABLE_261174 BOUND_VARIABLE_261175 BOUND_VARIABLE_261176))))) (let ((_let_19534 (forall ((BOUND_VARIABLE_261164 (-> Bool Bool)) (BOUND_VARIABLE_261165 (-> tptp.nat Bool)) (BOUND_VARIABLE_261166 tptp.nat)) (= (@ BOUND_VARIABLE_261164 (@ BOUND_VARIABLE_261165 BOUND_VARIABLE_261166)) (ll_436 BOUND_VARIABLE_261164 BOUND_VARIABLE_261165 BOUND_VARIABLE_261166))))) (let ((_let_19535 (forall ((BOUND_VARIABLE_261152 (-> Bool Bool)) (BOUND_VARIABLE_261153 (-> tptp.nat Bool)) (BOUND_VARIABLE_261154 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261155 tptp.nat)) (= (@ BOUND_VARIABLE_261152 (@ (@ (@ tptp.comp_nat_o_nat BOUND_VARIABLE_261153) BOUND_VARIABLE_261154) BOUND_VARIABLE_261155)) (ll_435 BOUND_VARIABLE_261152 BOUND_VARIABLE_261153 BOUND_VARIABLE_261154 BOUND_VARIABLE_261155))))) (let ((_let_19536 (forall ((BOUND_VARIABLE_261143 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261144 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261145 tptp.nat)) (= (@ BOUND_VARIABLE_261143 (@ BOUND_VARIABLE_261144 BOUND_VARIABLE_261145)) (ll_434 BOUND_VARIABLE_261143 BOUND_VARIABLE_261144 BOUND_VARIABLE_261145))))) (let ((_let_19537 (forall ((BOUND_VARIABLE_261134 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261135 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261136 tptp.int)) (= (@ BOUND_VARIABLE_261134 (@ BOUND_VARIABLE_261135 BOUND_VARIABLE_261136)) (ll_433 BOUND_VARIABLE_261134 BOUND_VARIABLE_261135 BOUND_VARIABLE_261136))))) (let ((_let_19538 (forall ((BOUND_VARIABLE_261125 (-> Bool Bool)) (BOUND_VARIABLE_261126 (-> tptp.nat Bool)) (BOUND_VARIABLE_261127 tptp.nat)) (= (@ BOUND_VARIABLE_261125 (@ BOUND_VARIABLE_261126 BOUND_VARIABLE_261127)) (ll_432 BOUND_VARIABLE_261125 BOUND_VARIABLE_261126 BOUND_VARIABLE_261127))))) (let ((_let_19539 (forall ((BOUND_VARIABLE_261116 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261117 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261118 tptp.nat)) (= (@ BOUND_VARIABLE_261116 (@ BOUND_VARIABLE_261117 BOUND_VARIABLE_261118)) (ll_431 BOUND_VARIABLE_261116 BOUND_VARIABLE_261117 BOUND_VARIABLE_261118))))) (let ((_let_19540 (forall ((BOUND_VARIABLE_261104 (-> Bool Bool)) (BOUND_VARIABLE_261105 (-> tptp.nat Bool)) (BOUND_VARIABLE_261106 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261107 tptp.nat)) (= (@ BOUND_VARIABLE_261104 (@ (@ (@ tptp.comp_nat_o_nat BOUND_VARIABLE_261105) BOUND_VARIABLE_261106) BOUND_VARIABLE_261107)) (ll_430 BOUND_VARIABLE_261104 BOUND_VARIABLE_261105 BOUND_VARIABLE_261106 BOUND_VARIABLE_261107))))) (let ((_let_19541 (forall ((BOUND_VARIABLE_261095 (-> Bool Bool)) (BOUND_VARIABLE_261096 (-> tptp.nat Bool)) (BOUND_VARIABLE_261097 tptp.nat)) (= (@ BOUND_VARIABLE_261095 (@ BOUND_VARIABLE_261096 BOUND_VARIABLE_261097)) (ll_429 BOUND_VARIABLE_261095 BOUND_VARIABLE_261096 BOUND_VARIABLE_261097))))) (let ((_let_19542 (forall ((BOUND_VARIABLE_261086 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261087 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261088 tptp.int)) (= (@ BOUND_VARIABLE_261086 (@ BOUND_VARIABLE_261087 BOUND_VARIABLE_261088)) (ll_428 BOUND_VARIABLE_261086 BOUND_VARIABLE_261087 BOUND_VARIABLE_261088))))) (let ((_let_19543 (forall ((BOUND_VARIABLE_261074 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261075 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_261076 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261077 tptp.int)) (= (@ BOUND_VARIABLE_261074 (@ (@ (@ tptp.comp_nat_int_int BOUND_VARIABLE_261075) BOUND_VARIABLE_261076) BOUND_VARIABLE_261077)) (ll_427 BOUND_VARIABLE_261074 BOUND_VARIABLE_261075 BOUND_VARIABLE_261076 BOUND_VARIABLE_261077))))) (let ((_let_19544 (forall ((BOUND_VARIABLE_261065 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261066 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261067 tptp.int)) (= (@ BOUND_VARIABLE_261065 (@ BOUND_VARIABLE_261066 BOUND_VARIABLE_261067)) (ll_426 BOUND_VARIABLE_261065 BOUND_VARIABLE_261066 BOUND_VARIABLE_261067))))) (let ((_let_19545 (forall ((BOUND_VARIABLE_261053 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261054 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261055 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261056 tptp.int)) (= (@ BOUND_VARIABLE_261053 (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_261054) BOUND_VARIABLE_261055) BOUND_VARIABLE_261056)) (ll_425 BOUND_VARIABLE_261053 BOUND_VARIABLE_261054 BOUND_VARIABLE_261055 BOUND_VARIABLE_261056))))) (let ((_let_19546 (forall ((BOUND_VARIABLE_261044 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_261045 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_261046 tptp.int)) (= (@ BOUND_VARIABLE_261044 (@ BOUND_VARIABLE_261045 BOUND_VARIABLE_261046)) (ll_424 BOUND_VARIABLE_261044 BOUND_VARIABLE_261045 BOUND_VARIABLE_261046))))) (let ((_let_19547 (forall ((BOUND_VARIABLE_261032 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_261033 (-> Bool tptp.nat)) (BOUND_VARIABLE_261034 (-> tptp.nat Bool)) (BOUND_VARIABLE_261035 tptp.nat)) (= (@ BOUND_VARIABLE_261032 (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_261033) BOUND_VARIABLE_261034) BOUND_VARIABLE_261035)) (ll_423 BOUND_VARIABLE_261032 BOUND_VARIABLE_261033 BOUND_VARIABLE_261034 BOUND_VARIABLE_261035))))) (let ((_let_19548 (forall ((BOUND_VARIABLE_261023 (-> Bool Bool)) (BOUND_VARIABLE_261024 (-> tptp.nat Bool)) (BOUND_VARIABLE_261025 tptp.nat)) (= (@ BOUND_VARIABLE_261023 (@ BOUND_VARIABLE_261024 BOUND_VARIABLE_261025)) (ll_422 BOUND_VARIABLE_261023 BOUND_VARIABLE_261024 BOUND_VARIABLE_261025))))) (let ((_let_19549 (forall ((BOUND_VARIABLE_261012 (-> Bool Bool)) (BOUND_VARIABLE_261013 (-> Bool Bool)) (BOUND_VARIABLE_261014 (-> tptp.nat Bool)) (BOUND_VARIABLE_261015 tptp.nat)) (= (@ BOUND_VARIABLE_261012 (@ BOUND_VARIABLE_261013 (@ BOUND_VARIABLE_261014 BOUND_VARIABLE_261015))) (ll_421 BOUND_VARIABLE_261012 BOUND_VARIABLE_261013 BOUND_VARIABLE_261014 BOUND_VARIABLE_261015))))) (let ((_let_19550 (forall ((BOUND_VARIABLE_261001 (-> Bool Bool)) (BOUND_VARIABLE_261002 (-> Bool Bool)) (BOUND_VARIABLE_261003 (-> tptp.nat Bool)) (BOUND_VARIABLE_261004 tptp.nat)) (= (@ BOUND_VARIABLE_261001 (@ BOUND_VARIABLE_261002 (@ BOUND_VARIABLE_261003 BOUND_VARIABLE_261004))) (ll_420 BOUND_VARIABLE_261001 BOUND_VARIABLE_261002 BOUND_VARIABLE_261003 BOUND_VARIABLE_261004))))) (let ((_let_19551 (forall ((BOUND_VARIABLE_260992 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260993 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260994 tptp.int)) (= (@ BOUND_VARIABLE_260992 (@ BOUND_VARIABLE_260993 BOUND_VARIABLE_260994)) (ll_419 BOUND_VARIABLE_260992 BOUND_VARIABLE_260993 BOUND_VARIABLE_260994))))) (let ((_let_19552 (forall ((BOUND_VARIABLE_260980 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260981 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_260982 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260983 tptp.int)) (= (@ BOUND_VARIABLE_260980 (@ (@ (@ tptp.comp_nat_int_int BOUND_VARIABLE_260981) BOUND_VARIABLE_260982) BOUND_VARIABLE_260983)) (ll_418 BOUND_VARIABLE_260980 BOUND_VARIABLE_260981 BOUND_VARIABLE_260982 BOUND_VARIABLE_260983))))) (let ((_let_19553 (forall ((BOUND_VARIABLE_260971 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260972 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260973 tptp.int)) (= (@ BOUND_VARIABLE_260971 (@ BOUND_VARIABLE_260972 BOUND_VARIABLE_260973)) (ll_417 BOUND_VARIABLE_260971 BOUND_VARIABLE_260972 BOUND_VARIABLE_260973))))) (let ((_let_19554 (forall ((BOUND_VARIABLE_260959 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260960 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260961 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260962 tptp.int)) (= (@ BOUND_VARIABLE_260959 (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_260960) BOUND_VARIABLE_260961) BOUND_VARIABLE_260962)) (ll_416 BOUND_VARIABLE_260959 BOUND_VARIABLE_260960 BOUND_VARIABLE_260961 BOUND_VARIABLE_260962))))) (let ((_let_19555 (forall ((BOUND_VARIABLE_260950 (-> Bool Bool)) (BOUND_VARIABLE_260951 (-> tptp.nat Bool)) (BOUND_VARIABLE_260952 tptp.nat)) (= (@ BOUND_VARIABLE_260950 (@ BOUND_VARIABLE_260951 BOUND_VARIABLE_260952)) (ll_415 BOUND_VARIABLE_260950 BOUND_VARIABLE_260951 BOUND_VARIABLE_260952))))) (let ((_let_19556 (forall ((BOUND_VARIABLE_260938 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260939 (-> Bool tptp.nat)) (BOUND_VARIABLE_260940 (-> tptp.nat Bool)) (BOUND_VARIABLE_260941 tptp.nat)) (= (@ BOUND_VARIABLE_260938 (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_260939) BOUND_VARIABLE_260940) BOUND_VARIABLE_260941)) (ll_414 BOUND_VARIABLE_260938 BOUND_VARIABLE_260939 BOUND_VARIABLE_260940 BOUND_VARIABLE_260941))))) (let ((_let_19557 (forall ((BOUND_VARIABLE_260929 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260930 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260931 tptp.int)) (= (@ BOUND_VARIABLE_260929 (@ BOUND_VARIABLE_260930 BOUND_VARIABLE_260931)) (ll_413 BOUND_VARIABLE_260929 BOUND_VARIABLE_260930 BOUND_VARIABLE_260931))))) (let ((_let_19558 (forall ((BOUND_VARIABLE_260917 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260918 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260919 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260920 tptp.int)) (= (@ (@ (@ tptp.comp_nat_num_nat BOUND_VARIABLE_260917) BOUND_VARIABLE_260918) (@ BOUND_VARIABLE_260919 BOUND_VARIABLE_260920)) (ll_412 BOUND_VARIABLE_260917 BOUND_VARIABLE_260918 BOUND_VARIABLE_260919 BOUND_VARIABLE_260920))))) (let ((_let_19559 (forall ((BOUND_VARIABLE_260908 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260909 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260910 tptp.int)) (= (@ BOUND_VARIABLE_260908 (@ BOUND_VARIABLE_260909 BOUND_VARIABLE_260910)) (ll_411 BOUND_VARIABLE_260908 BOUND_VARIABLE_260909 BOUND_VARIABLE_260910))))) (let ((_let_19560 (forall ((BOUND_VARIABLE_260899 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260900 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260901 tptp.int)) (= (@ BOUND_VARIABLE_260899 (@ BOUND_VARIABLE_260900 BOUND_VARIABLE_260901)) (ll_410 BOUND_VARIABLE_260899 BOUND_VARIABLE_260900 BOUND_VARIABLE_260901))))) (let ((_let_19561 (forall ((BOUND_VARIABLE_260890 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260891 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260892 tptp.nat)) (= (@ BOUND_VARIABLE_260890 (@ BOUND_VARIABLE_260891 BOUND_VARIABLE_260892)) (ll_409 BOUND_VARIABLE_260890 BOUND_VARIABLE_260891 BOUND_VARIABLE_260892))))) (let ((_let_19562 (forall ((BOUND_VARIABLE_260878 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260879 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260880 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260881 tptp.int)) (= (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_260878) BOUND_VARIABLE_260879) (@ BOUND_VARIABLE_260880 BOUND_VARIABLE_260881)) (ll_408 BOUND_VARIABLE_260878 BOUND_VARIABLE_260879 BOUND_VARIABLE_260880 BOUND_VARIABLE_260881))))) (let ((_let_19563 (forall ((BOUND_VARIABLE_260869 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260870 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260871 tptp.nat)) (= (@ BOUND_VARIABLE_260869 (@ BOUND_VARIABLE_260870 BOUND_VARIABLE_260871)) (ll_407 BOUND_VARIABLE_260869 BOUND_VARIABLE_260870 BOUND_VARIABLE_260871))))) (let ((_let_19564 (forall ((BOUND_VARIABLE_260857 (-> tptp.nat Bool)) (BOUND_VARIABLE_260858 (-> Bool tptp.nat)) (BOUND_VARIABLE_260859 (-> tptp.nat Bool)) (BOUND_VARIABLE_260860 tptp.nat)) (= (@ (@ (@ tptp.comp_nat_o_o BOUND_VARIABLE_260857) BOUND_VARIABLE_260858) (@ BOUND_VARIABLE_260859 BOUND_VARIABLE_260860)) (ll_406 BOUND_VARIABLE_260857 BOUND_VARIABLE_260858 BOUND_VARIABLE_260859 BOUND_VARIABLE_260860))))) (let ((_let_19565 (forall ((BOUND_VARIABLE_260848 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260849 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260850 tptp.nat)) (= (@ BOUND_VARIABLE_260848 (@ BOUND_VARIABLE_260849 BOUND_VARIABLE_260850)) (ll_405 BOUND_VARIABLE_260848 BOUND_VARIABLE_260849 BOUND_VARIABLE_260850))))) (let ((_let_19566 (forall ((BOUND_VARIABLE_260839 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260840 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260841 tptp.int)) (= (@ BOUND_VARIABLE_260839 (@ BOUND_VARIABLE_260840 BOUND_VARIABLE_260841)) (ll_404 BOUND_VARIABLE_260839 BOUND_VARIABLE_260840 BOUND_VARIABLE_260841))))) (let ((_let_19567 (forall ((BOUND_VARIABLE_260830 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260831 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260832 tptp.int)) (= (@ BOUND_VARIABLE_260830 (@ BOUND_VARIABLE_260831 BOUND_VARIABLE_260832)) (ll_403 BOUND_VARIABLE_260830 BOUND_VARIABLE_260831 BOUND_VARIABLE_260832))))) (let ((_let_19568 (forall ((BOUND_VARIABLE_260818 (-> tptp.num tptp.nat)) (BOUND_VARIABLE_260819 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260820 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260821 tptp.int)) (= (@ (@ (@ tptp.comp_num_nat_int BOUND_VARIABLE_260818) BOUND_VARIABLE_260819) (@ BOUND_VARIABLE_260820 BOUND_VARIABLE_260821)) (ll_402 BOUND_VARIABLE_260818 BOUND_VARIABLE_260819 BOUND_VARIABLE_260820 BOUND_VARIABLE_260821))))) (let ((_let_19569 (forall ((BOUND_VARIABLE_260809 (-> Bool Bool)) (BOUND_VARIABLE_260810 (-> tptp.nat Bool)) (BOUND_VARIABLE_260811 tptp.nat)) (= (@ BOUND_VARIABLE_260809 (@ BOUND_VARIABLE_260810 BOUND_VARIABLE_260811)) (ll_401 BOUND_VARIABLE_260809 BOUND_VARIABLE_260810 BOUND_VARIABLE_260811))))) (let ((_let_19570 (forall ((BOUND_VARIABLE_260797 (-> Bool tptp.nat)) (BOUND_VARIABLE_260798 (-> tptp.nat Bool)) (BOUND_VARIABLE_260799 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260800 tptp.nat)) (= (@ (@ (@ tptp.comp_o_nat_nat BOUND_VARIABLE_260797) BOUND_VARIABLE_260798) (@ BOUND_VARIABLE_260799 BOUND_VARIABLE_260800)) (ll_400 BOUND_VARIABLE_260797 BOUND_VARIABLE_260798 BOUND_VARIABLE_260799 BOUND_VARIABLE_260800))))) (let ((_let_19571 (forall ((BOUND_VARIABLE_260788 (-> Bool Bool)) (BOUND_VARIABLE_260789 (-> tptp.nat Bool)) (BOUND_VARIABLE_260790 tptp.nat)) (= (@ BOUND_VARIABLE_260788 (@ BOUND_VARIABLE_260789 BOUND_VARIABLE_260790)) (ll_399 BOUND_VARIABLE_260788 BOUND_VARIABLE_260789 BOUND_VARIABLE_260790))))) (let ((_let_19572 (forall ((BOUND_VARIABLE_260779 (-> Bool Bool)) (BOUND_VARIABLE_260780 (-> tptp.nat Bool)) (BOUND_VARIABLE_260781 tptp.nat)) (= (@ BOUND_VARIABLE_260779 (@ BOUND_VARIABLE_260780 BOUND_VARIABLE_260781)) (ll_398 BOUND_VARIABLE_260779 BOUND_VARIABLE_260780 BOUND_VARIABLE_260781))))) (let ((_let_19573 (forall ((BOUND_VARIABLE_260767 (-> Bool Bool)) (BOUND_VARIABLE_260768 (-> Bool Bool)) (BOUND_VARIABLE_260769 (-> tptp.nat Bool)) (BOUND_VARIABLE_260770 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_260767) BOUND_VARIABLE_260768) (@ BOUND_VARIABLE_260769 BOUND_VARIABLE_260770)) (ll_397 BOUND_VARIABLE_260767 BOUND_VARIABLE_260768 BOUND_VARIABLE_260769 BOUND_VARIABLE_260770))))) (let ((_let_19574 (forall ((BOUND_VARIABLE_260756 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260757 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260758 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260759 tptp.int)) (= (@ BOUND_VARIABLE_260756 (@ BOUND_VARIABLE_260757 (@ BOUND_VARIABLE_260758 BOUND_VARIABLE_260759))) (ll_396 BOUND_VARIABLE_260756 BOUND_VARIABLE_260757 BOUND_VARIABLE_260758 BOUND_VARIABLE_260759))))) (let ((_let_19575 (forall ((BOUND_VARIABLE_260745 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260746 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260747 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260748 tptp.int)) (= (@ BOUND_VARIABLE_260745 (@ BOUND_VARIABLE_260746 (@ BOUND_VARIABLE_260747 BOUND_VARIABLE_260748))) (ll_395 BOUND_VARIABLE_260745 BOUND_VARIABLE_260746 BOUND_VARIABLE_260747 BOUND_VARIABLE_260748))))) (let ((_let_19576 (forall ((BOUND_VARIABLE_260733 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260734 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_260735 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260736 tptp.nat)) (= (@ (@ (@ tptp.comp_int_nat_nat BOUND_VARIABLE_260733) BOUND_VARIABLE_260734) (@ BOUND_VARIABLE_260735 BOUND_VARIABLE_260736)) (ll_394 BOUND_VARIABLE_260733 BOUND_VARIABLE_260734 BOUND_VARIABLE_260735 BOUND_VARIABLE_260736))))) (let ((_let_19577 (forall ((BOUND_VARIABLE_260724 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260725 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260726 tptp.int)) (= (@ BOUND_VARIABLE_260724 (@ BOUND_VARIABLE_260725 BOUND_VARIABLE_260726)) (ll_393 BOUND_VARIABLE_260724 BOUND_VARIABLE_260725 BOUND_VARIABLE_260726))))) (let ((_let_19578 (forall ((BOUND_VARIABLE_260715 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260716 (-> tptp.int tptp.int)) (BOUND_VARIABLE_260717 tptp.int)) (= (@ BOUND_VARIABLE_260715 (@ BOUND_VARIABLE_260716 BOUND_VARIABLE_260717)) (ll_392 BOUND_VARIABLE_260715 BOUND_VARIABLE_260716 BOUND_VARIABLE_260717))))) (let ((_let_19579 (forall ((BOUND_VARIABLE_260703 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260704 (-> tptp.nat tptp.int)) (BOUND_VARIABLE_260705 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260706 tptp.nat)) (= (@ (@ (@ tptp.comp_int_nat_nat BOUND_VARIABLE_260703) BOUND_VARIABLE_260704) (@ BOUND_VARIABLE_260705 BOUND_VARIABLE_260706)) (ll_391 BOUND_VARIABLE_260703 BOUND_VARIABLE_260704 BOUND_VARIABLE_260705 BOUND_VARIABLE_260706))))) (let ((_let_19580 (forall ((BOUND_VARIABLE_260696 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260697 (-> tptp.nat tptp.nat))) (= (= BOUND_VARIABLE_260696 BOUND_VARIABLE_260697) (ll_390 BOUND_VARIABLE_260696 BOUND_VARIABLE_260697))))) (let ((_let_19581 (forall ((BOUND_VARIABLE_260679 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260680 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260681 (-> tptp.int tptp.nat))) (= (ll_389 BOUND_VARIABLE_260679 BOUND_VARIABLE_260680 BOUND_VARIABLE_260681) (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_260679) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260680) BOUND_VARIABLE_260681) ll_3314)))))) (let ((_let_19582 (forall ((BOUND_VARIABLE_260662 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260663 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260664 (-> tptp.int tptp.nat))) (= (ll_388 BOUND_VARIABLE_260662 BOUND_VARIABLE_260663 BOUND_VARIABLE_260664) (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_260662) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260663) BOUND_VARIABLE_260664) ll_3313)))))) (let ((_let_19583 (forall ((BOUND_VARIABLE_260655 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260656 (-> tptp.nat tptp.num))) (= (= BOUND_VARIABLE_260655 BOUND_VARIABLE_260656) (ll_387 BOUND_VARIABLE_260655 BOUND_VARIABLE_260656))))) (let ((_let_19584 (forall ((BOUND_VARIABLE_260638 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260639 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260640 (-> tptp.int tptp.nat))) (= (ll_386 BOUND_VARIABLE_260638 BOUND_VARIABLE_260639 BOUND_VARIABLE_260640) (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_260638) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260639) BOUND_VARIABLE_260640) ll_3312)))))) (let ((_let_19585 (forall ((BOUND_VARIABLE_260631 tptp.num) (BOUND_VARIABLE_260632 tptp.num)) (= (= BOUND_VARIABLE_260631 BOUND_VARIABLE_260632) (ll_385 BOUND_VARIABLE_260631 BOUND_VARIABLE_260632))))) (let ((_let_19586 (forall ((BOUND_VARIABLE_260624 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260625 (-> tptp.int tptp.nat))) (= (= BOUND_VARIABLE_260624 BOUND_VARIABLE_260625) (ll_384 BOUND_VARIABLE_260624 BOUND_VARIABLE_260625))))) (let ((_let_19587 (forall ((BOUND_VARIABLE_260617 tptp.int) (BOUND_VARIABLE_260618 tptp.int)) (= (= BOUND_VARIABLE_260617 BOUND_VARIABLE_260618) (ll_383 BOUND_VARIABLE_260617 BOUND_VARIABLE_260618))))) (let ((_let_19588 (forall ((BOUND_VARIABLE_260600 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260601 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260602 (-> tptp.int tptp.nat))) (= (ll_382 BOUND_VARIABLE_260600 BOUND_VARIABLE_260601 BOUND_VARIABLE_260602) (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_260600) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260601) BOUND_VARIABLE_260602) ll_3311)))))) (let ((_let_19589 (forall ((BOUND_VARIABLE_260593 (-> tptp.num tptp.num)) (BOUND_VARIABLE_260594 (-> tptp.num tptp.num))) (= (= BOUND_VARIABLE_260593 BOUND_VARIABLE_260594) (ll_381 BOUND_VARIABLE_260593 BOUND_VARIABLE_260594))))) (let ((_let_19590 (forall ((BOUND_VARIABLE_260576 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260577 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260578 (-> tptp.int tptp.num))) (= (ll_380 BOUND_VARIABLE_260576 BOUND_VARIABLE_260577 BOUND_VARIABLE_260578) (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_260576) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260577) BOUND_VARIABLE_260578) ll_3310)))))) (let ((_let_19591 (forall ((BOUND_VARIABLE_260559 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260560 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260561 (-> tptp.int tptp.num))) (= (ll_379 BOUND_VARIABLE_260559 BOUND_VARIABLE_260560 BOUND_VARIABLE_260561) (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_260559) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260560) BOUND_VARIABLE_260561) ll_3309)))))) (let ((_let_19592 (forall ((BOUND_VARIABLE_260552 (-> tptp.num tptp.num)) (BOUND_VARIABLE_260553 (-> tptp.num tptp.num))) (= (= BOUND_VARIABLE_260552 BOUND_VARIABLE_260553) (ll_378 BOUND_VARIABLE_260552 BOUND_VARIABLE_260553))))) (let ((_let_19593 (forall ((BOUND_VARIABLE_260535 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260536 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260537 (-> tptp.code_integer tptp.num))) (= (ll_377 BOUND_VARIABLE_260535 BOUND_VARIABLE_260536 BOUND_VARIABLE_260537) (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_260535) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260536) BOUND_VARIABLE_260537) ll_3308)))))) (let ((_let_19594 (forall ((BOUND_VARIABLE_260518 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260519 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260520 (-> tptp.code_integer tptp.num))) (= (ll_376 BOUND_VARIABLE_260518 BOUND_VARIABLE_260519 BOUND_VARIABLE_260520) (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_260518) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260519) BOUND_VARIABLE_260520) ll_3307)))))) (let ((_let_19595 (forall ((BOUND_VARIABLE_260511 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260512 (-> tptp.nat tptp.num))) (= (= BOUND_VARIABLE_260511 BOUND_VARIABLE_260512) (ll_375 BOUND_VARIABLE_260511 BOUND_VARIABLE_260512))))) (let ((_let_19596 (forall ((BOUND_VARIABLE_260504 tptp.nat) (BOUND_VARIABLE_260505 tptp.nat)) (= (= BOUND_VARIABLE_260504 BOUND_VARIABLE_260505) (ll_374 BOUND_VARIABLE_260504 BOUND_VARIABLE_260505))))) (let ((_let_19597 (forall ((BOUND_VARIABLE_260487 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260488 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260489 (-> tptp.int tptp.num))) (= (ll_373 BOUND_VARIABLE_260487 BOUND_VARIABLE_260488 BOUND_VARIABLE_260489) (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_260487) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260488) BOUND_VARIABLE_260489) ll_3306)))))) (let ((_let_19598 (forall ((BOUND_VARIABLE_260480 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_260481 (-> tptp.nat tptp.num))) (= (= BOUND_VARIABLE_260480 BOUND_VARIABLE_260481) (ll_372 BOUND_VARIABLE_260480 BOUND_VARIABLE_260481))))) (let ((_let_19599 (forall ((BOUND_VARIABLE_260473 tptp.nat) (BOUND_VARIABLE_260474 tptp.nat)) (= (= BOUND_VARIABLE_260473 BOUND_VARIABLE_260474) (ll_371 BOUND_VARIABLE_260473 BOUND_VARIABLE_260474))))) (let ((_let_19600 (forall ((BOUND_VARIABLE_260456 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260457 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260458 (-> tptp.code_integer tptp.num))) (= (ll_370 BOUND_VARIABLE_260456 BOUND_VARIABLE_260457 BOUND_VARIABLE_260458) (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_260456) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260457) BOUND_VARIABLE_260458) ll_3305)))))) (let ((_let_19601 (forall ((BOUND_VARIABLE_260449 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_260450 (-> tptp.int tptp.nat))) (= (= BOUND_VARIABLE_260449 BOUND_VARIABLE_260450) (ll_369 BOUND_VARIABLE_260449 BOUND_VARIABLE_260450))))) (let ((_let_19602 (forall ((BOUND_VARIABLE_260442 tptp.int) (BOUND_VARIABLE_260443 tptp.int)) (= (= BOUND_VARIABLE_260442 BOUND_VARIABLE_260443) (ll_368 BOUND_VARIABLE_260442 BOUND_VARIABLE_260443))))) (let ((_let_19603 (forall ((BOUND_VARIABLE_260435 tptp.nat) (BOUND_VARIABLE_260436 tptp.nat)) (= (= BOUND_VARIABLE_260435 BOUND_VARIABLE_260436) (ll_367 BOUND_VARIABLE_260435 BOUND_VARIABLE_260436))))) (let ((_let_19604 (forall ((BOUND_VARIABLE_260428 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_260429 (-> tptp.nat tptp.nat))) (= (= BOUND_VARIABLE_260428 BOUND_VARIABLE_260429) (ll_366 BOUND_VARIABLE_260428 BOUND_VARIABLE_260429))))) (let ((_let_19605 (forall ((BOUND_VARIABLE_260421 tptp.nat) (BOUND_VARIABLE_260422 tptp.nat)) (= (= BOUND_VARIABLE_260421 BOUND_VARIABLE_260422) (ll_365 BOUND_VARIABLE_260421 BOUND_VARIABLE_260422))))) (let ((_let_19606 (forall ((BOUND_VARIABLE_260414 tptp.nat) (BOUND_VARIABLE_260415 tptp.nat)) (= (= BOUND_VARIABLE_260414 BOUND_VARIABLE_260415) (ll_364 BOUND_VARIABLE_260414 BOUND_VARIABLE_260415))))) (let ((_let_19607 (forall ((BOUND_VARIABLE_260407 (-> Bool Bool)) (BOUND_VARIABLE_260408 (-> Bool Bool))) (= (= BOUND_VARIABLE_260407 BOUND_VARIABLE_260408) (ll_363 BOUND_VARIABLE_260407 BOUND_VARIABLE_260408))))) (let ((_let_19608 (forall ((BOUND_VARIABLE_260400 Bool) (BOUND_VARIABLE_260401 Bool)) (= (= BOUND_VARIABLE_260400 BOUND_VARIABLE_260401) (ll_362 BOUND_VARIABLE_260400 BOUND_VARIABLE_260401))))) (let ((_let_19609 (forall ((BOUND_VARIABLE_260393 Bool) (BOUND_VARIABLE_260394 Bool)) (= (= BOUND_VARIABLE_260393 BOUND_VARIABLE_260394) (ll_361 BOUND_VARIABLE_260393 BOUND_VARIABLE_260394))))) (let ((_let_19610 (forall ((BOUND_VARIABLE_260376 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_260377 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260378 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260379 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_260376 BOUND_VARIABLE_260378) B4)) (not (@ (@ BOUND_VARIABLE_260377 B4) BOUND_VARIABLE_260379))))) (ll_360 BOUND_VARIABLE_260376 BOUND_VARIABLE_260377 BOUND_VARIABLE_260378 BOUND_VARIABLE_260379))))) (let ((_let_19611 (forall ((BOUND_VARIABLE_260359 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_260360 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260361 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260362 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_260359 BOUND_VARIABLE_260361) B4)) (not (@ (@ BOUND_VARIABLE_260360 B4) BOUND_VARIABLE_260362))))) (ll_359 BOUND_VARIABLE_260359 BOUND_VARIABLE_260360 BOUND_VARIABLE_260361 BOUND_VARIABLE_260362))))) (let ((_let_19612 (forall ((BOUND_VARIABLE_260342 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260343 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260344 tptp.int) (BOUND_VARIABLE_260345 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_260342 BOUND_VARIABLE_260344) B4)) (not (@ (@ BOUND_VARIABLE_260343 B4) BOUND_VARIABLE_260345))))) (ll_358 BOUND_VARIABLE_260342 BOUND_VARIABLE_260343 BOUND_VARIABLE_260344 BOUND_VARIABLE_260345))))) (let ((_let_19613 (forall ((BOUND_VARIABLE_260325 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_260326 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260327 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260328 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_260325 BOUND_VARIABLE_260327) B4)) (not (@ (@ BOUND_VARIABLE_260326 B4) BOUND_VARIABLE_260328))))) (ll_357 BOUND_VARIABLE_260325 BOUND_VARIABLE_260326 BOUND_VARIABLE_260327 BOUND_VARIABLE_260328))))) (let ((_let_19614 (forall ((BOUND_VARIABLE_260308 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_260309 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260310 tptp.product_prod_nat_nat) (BOUND_VARIABLE_260311 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_260308 BOUND_VARIABLE_260310) B4)) (not (@ (@ BOUND_VARIABLE_260309 B4) BOUND_VARIABLE_260311))))) (ll_356 BOUND_VARIABLE_260308 BOUND_VARIABLE_260309 BOUND_VARIABLE_260310 BOUND_VARIABLE_260311))))) (let ((_let_19615 (forall ((BOUND_VARIABLE_260291 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260292 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260293 tptp.int) (BOUND_VARIABLE_260294 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_260291 BOUND_VARIABLE_260293) B4)) (not (@ (@ BOUND_VARIABLE_260292 B4) BOUND_VARIABLE_260294))))) (ll_355 BOUND_VARIABLE_260291 BOUND_VARIABLE_260292 BOUND_VARIABLE_260293 BOUND_VARIABLE_260294))))) (let ((_let_19616 (forall ((BOUND_VARIABLE_260278 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260279 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_260280 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260281 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_260278) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260280) BOUND_VARIABLE_260281) BOUND_VARIABLE_260279)) (ll_354 BOUND_VARIABLE_260278 BOUND_VARIABLE_260279 BOUND_VARIABLE_260280 BOUND_VARIABLE_260281))))) (let ((_let_19617 (forall ((BOUND_VARIABLE_260231 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_260232 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260233 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_260234 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_260235 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260236 (-> tptp.int tptp.nat))) (= (ll_353 BOUND_VARIABLE_260231 BOUND_VARIABLE_260232 BOUND_VARIABLE_260233 BOUND_VARIABLE_260234 BOUND_VARIABLE_260235 BOUND_VARIABLE_260236) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ ll_3304 BOUND_VARIABLE_260231) BOUND_VARIABLE_260232)) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260235) BOUND_VARIABLE_260236) (@ (@ tptp.relcompp_nat_nat_nat BOUND_VARIABLE_260233) BOUND_VARIABLE_260234))))))) (let ((_let_19618 (forall ((BOUND_VARIABLE_260218 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260219 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_260220 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260221 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o BOUND_VARIABLE_260218) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260220) BOUND_VARIABLE_260221) BOUND_VARIABLE_260219)) (ll_352 BOUND_VARIABLE_260218 BOUND_VARIABLE_260219 BOUND_VARIABLE_260220 BOUND_VARIABLE_260221))))) (let ((_let_19619 (forall ((BOUND_VARIABLE_260199 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_260200 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260201 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_260202 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_260203 (-> tptp.product_prod_nat_nat tptp.nat)) (BOUND_VARIABLE_260204 (-> tptp.int tptp.nat))) (= (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom2949942408940504938nt_int BOUND_VARIABLE_260199) BOUND_VARIABLE_260200)) (@ (@ (@ tptp.bNF_vi5493721401438417730_nat_o BOUND_VARIABLE_260203) BOUND_VARIABLE_260204) (@ (@ tptp.relcompp_nat_nat_nat BOUND_VARIABLE_260201) BOUND_VARIABLE_260202))) (ll_351 BOUND_VARIABLE_260199 BOUND_VARIABLE_260200 BOUND_VARIABLE_260201 BOUND_VARIABLE_260202 BOUND_VARIABLE_260203 BOUND_VARIABLE_260204))))) (let ((_let_19620 (forall ((BOUND_VARIABLE_260182 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260183 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260184 tptp.int) (BOUND_VARIABLE_260185 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_260182 BOUND_VARIABLE_260184) B4)) (not (@ (@ BOUND_VARIABLE_260183 B4) BOUND_VARIABLE_260185))))) (ll_350 BOUND_VARIABLE_260182 BOUND_VARIABLE_260183 BOUND_VARIABLE_260184 BOUND_VARIABLE_260185))))) (let ((_let_19621 (forall ((BOUND_VARIABLE_260165 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260166 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260167 tptp.int) (BOUND_VARIABLE_260168 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_260165 BOUND_VARIABLE_260167) B4)) (not (@ (@ BOUND_VARIABLE_260166 B4) BOUND_VARIABLE_260168))))) (ll_349 BOUND_VARIABLE_260165 BOUND_VARIABLE_260166 BOUND_VARIABLE_260167 BOUND_VARIABLE_260168))))) (let ((_let_19622 (forall ((BOUND_VARIABLE_260152 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260153 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260154 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260155 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_260152) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260154) BOUND_VARIABLE_260155) BOUND_VARIABLE_260153)) (ll_348 BOUND_VARIABLE_260152 BOUND_VARIABLE_260153 BOUND_VARIABLE_260154 BOUND_VARIABLE_260155))))) (let ((_let_19623 (forall ((BOUND_VARIABLE_260139 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260140 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260141 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260142 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_260139) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260141) BOUND_VARIABLE_260142) BOUND_VARIABLE_260140)) (ll_347 BOUND_VARIABLE_260139 BOUND_VARIABLE_260140 BOUND_VARIABLE_260141 BOUND_VARIABLE_260142))))) (let ((_let_19624 (forall ((BOUND_VARIABLE_260092 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260093 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260094 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260095 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260096 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260097 (-> tptp.code_integer tptp.num))) (= (ll_346 BOUND_VARIABLE_260092 BOUND_VARIABLE_260093 BOUND_VARIABLE_260094 BOUND_VARIABLE_260095 BOUND_VARIABLE_260096 BOUND_VARIABLE_260097) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ ll_3303 BOUND_VARIABLE_260092) BOUND_VARIABLE_260093)) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260096) BOUND_VARIABLE_260097) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_260094) BOUND_VARIABLE_260095))))))) (let ((_let_19625 (forall ((BOUND_VARIABLE_260079 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260080 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260081 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260082 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_260079) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260081) BOUND_VARIABLE_260082) BOUND_VARIABLE_260080)) (ll_345 BOUND_VARIABLE_260079 BOUND_VARIABLE_260080 BOUND_VARIABLE_260081 BOUND_VARIABLE_260082))))) (let ((_let_19626 (forall ((BOUND_VARIABLE_260066 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260067 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260068 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260069 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o BOUND_VARIABLE_260066) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260068) BOUND_VARIABLE_260069) BOUND_VARIABLE_260067)) (ll_344 BOUND_VARIABLE_260066 BOUND_VARIABLE_260067 BOUND_VARIABLE_260068 BOUND_VARIABLE_260069))))) (let ((_let_19627 (forall ((BOUND_VARIABLE_260047 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260048 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_260049 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260050 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260051 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260052 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcompp_int_int_int BOUND_VARIABLE_260047) BOUND_VARIABLE_260048)) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260051) BOUND_VARIABLE_260052) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_260049) BOUND_VARIABLE_260050))) (ll_343 BOUND_VARIABLE_260047 BOUND_VARIABLE_260048 BOUND_VARIABLE_260049 BOUND_VARIABLE_260050 BOUND_VARIABLE_260051 BOUND_VARIABLE_260052))))) (let ((_let_19628 (forall ((BOUND_VARIABLE_260034 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260035 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260036 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260037 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_260034) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260036) BOUND_VARIABLE_260037) BOUND_VARIABLE_260035)) (ll_342 BOUND_VARIABLE_260034 BOUND_VARIABLE_260035 BOUND_VARIABLE_260036 BOUND_VARIABLE_260037))))) (let ((_let_19629 (forall ((BOUND_VARIABLE_260015 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260016 (-> tptp.code_integer tptp.int Bool)) (BOUND_VARIABLE_260017 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260018 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260019 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260020 (-> tptp.int tptp.num))) (= (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcom328798225758222312er_int BOUND_VARIABLE_260015) BOUND_VARIABLE_260016)) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_260019) BOUND_VARIABLE_260020) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_260017) BOUND_VARIABLE_260018))) (ll_341 BOUND_VARIABLE_260015 BOUND_VARIABLE_260016 BOUND_VARIABLE_260017 BOUND_VARIABLE_260018 BOUND_VARIABLE_260019 BOUND_VARIABLE_260020))))) (let ((_let_19630 (forall ((BOUND_VARIABLE_260002 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_260003 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_260004 (-> tptp.int tptp.num)) (BOUND_VARIABLE_260005 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_260002) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_260004) BOUND_VARIABLE_260005) BOUND_VARIABLE_260003)) (ll_340 BOUND_VARIABLE_260002 BOUND_VARIABLE_260003 BOUND_VARIABLE_260004 BOUND_VARIABLE_260005))))) (let ((_let_19631 (forall ((BOUND_VARIABLE_259983 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259984 (-> tptp.code_integer tptp.code_integer Bool)) (BOUND_VARIABLE_259985 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259986 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259987 (-> tptp.int tptp.num)) (BOUND_VARIABLE_259988 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom8320293257703906841nteger BOUND_VARIABLE_259983) BOUND_VARIABLE_259984)) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_259987) BOUND_VARIABLE_259988) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_259985) BOUND_VARIABLE_259986))) (ll_339 BOUND_VARIABLE_259983 BOUND_VARIABLE_259984 BOUND_VARIABLE_259985 BOUND_VARIABLE_259986 BOUND_VARIABLE_259987 BOUND_VARIABLE_259988))))) (let ((_let_19632 (forall ((BOUND_VARIABLE_259966 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259967 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259968 tptp.int) (BOUND_VARIABLE_259969 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_259966 BOUND_VARIABLE_259968) B4)) (not (@ (@ BOUND_VARIABLE_259967 B4) BOUND_VARIABLE_259969))))) (ll_338 BOUND_VARIABLE_259966 BOUND_VARIABLE_259967 BOUND_VARIABLE_259968 BOUND_VARIABLE_259969))))) (let ((_let_19633 (forall ((BOUND_VARIABLE_259940 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259941 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259942 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259943 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259944 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259945 tptp.int) (BOUND_VARIABLE_259946 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o BOUND_VARIABLE_259940) BOUND_VARIABLE_259942) BOUND_VARIABLE_259941) BOUND_VARIABLE_259945) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi699694178825965831eger_o BOUND_VARIABLE_259942) BOUND_VARIABLE_259943) BOUND_VARIABLE_259944) B4) BOUND_VARIABLE_259946))))) (ll_337 BOUND_VARIABLE_259940 BOUND_VARIABLE_259941 BOUND_VARIABLE_259942 BOUND_VARIABLE_259943 BOUND_VARIABLE_259944 BOUND_VARIABLE_259945 BOUND_VARIABLE_259946))))) (let ((_let_19634 (forall ((BOUND_VARIABLE_259923 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259924 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259925 tptp.int) (BOUND_VARIABLE_259926 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_259923 BOUND_VARIABLE_259925) B4)) (not (@ (@ BOUND_VARIABLE_259924 B4) BOUND_VARIABLE_259926))))) (ll_336 BOUND_VARIABLE_259923 BOUND_VARIABLE_259924 BOUND_VARIABLE_259925 BOUND_VARIABLE_259926))))) (let ((_let_19635 (forall ((BOUND_VARIABLE_259897 (-> tptp.product_prod_nat_nat tptp.int)) (BOUND_VARIABLE_259898 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259899 (-> tptp.product_prod_nat_nat tptp.int)) (BOUND_VARIABLE_259900 (-> tptp.int tptp.code_integer)) (BOUND_VARIABLE_259901 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259902 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259903 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ (@ (@ tptp.bNF_vi2682369418337388893_int_o BOUND_VARIABLE_259897) BOUND_VARIABLE_259899) BOUND_VARIABLE_259898) BOUND_VARIABLE_259902) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi33923956287962137eger_o BOUND_VARIABLE_259899) BOUND_VARIABLE_259900) BOUND_VARIABLE_259901) B4) BOUND_VARIABLE_259903))))) (ll_335 BOUND_VARIABLE_259897 BOUND_VARIABLE_259898 BOUND_VARIABLE_259899 BOUND_VARIABLE_259900 BOUND_VARIABLE_259901 BOUND_VARIABLE_259902 BOUND_VARIABLE_259903))))) (let ((_let_19636 (forall ((BOUND_VARIABLE_259880 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259881 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259882 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259883 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_259880 BOUND_VARIABLE_259882) B4)) (not (@ (@ BOUND_VARIABLE_259881 B4) BOUND_VARIABLE_259883))))) (ll_334 BOUND_VARIABLE_259880 BOUND_VARIABLE_259881 BOUND_VARIABLE_259882 BOUND_VARIABLE_259883))))) (let ((_let_19637 (forall ((BOUND_VARIABLE_259814 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_259815 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259816 (-> tptp.int tptp.product_prod_nat_nat)) (BOUND_VARIABLE_259817 (-> tptp.code_integer tptp.int)) (BOUND_VARIABLE_259818 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259819 tptp.int) (BOUND_VARIABLE_259820 tptp.code_integer)) (= (ll_333 BOUND_VARIABLE_259814 BOUND_VARIABLE_259815 BOUND_VARIABLE_259816 BOUND_VARIABLE_259817 BOUND_VARIABLE_259818 BOUND_VARIABLE_259819 BOUND_VARIABLE_259820) (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ (@ tptp.relcom1106208330880909712at_int (@ (@ tptp.bNF_Gr6591314147588017797at_nat tptp.top_top_set_int) BOUND_VARIABLE_259814)) (@ (@ ll_3302 BOUND_VARIABLE_259815) BOUND_VARIABLE_259816)) BOUND_VARIABLE_259819) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o BOUND_VARIABLE_259816) BOUND_VARIABLE_259817) BOUND_VARIABLE_259818) B4) BOUND_VARIABLE_259820))))))))) (let ((_let_19638 (forall ((BOUND_VARIABLE_259797 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259798 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259799 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259800 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_259797 BOUND_VARIABLE_259799) B4)) (not (@ (@ BOUND_VARIABLE_259798 B4) BOUND_VARIABLE_259800))))) (ll_332 BOUND_VARIABLE_259797 BOUND_VARIABLE_259798 BOUND_VARIABLE_259799 BOUND_VARIABLE_259800))))) (let ((_let_19639 (forall ((BOUND_VARIABLE_259771 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_259772 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259773 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_259774 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259775 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259776 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259777 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ (@ (@ tptp.bNF_vi763171854521451549_nat_o BOUND_VARIABLE_259771) BOUND_VARIABLE_259773) BOUND_VARIABLE_259772) BOUND_VARIABLE_259776) B4)) (not (@ (@ (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o BOUND_VARIABLE_259773) BOUND_VARIABLE_259774) BOUND_VARIABLE_259775) B4) BOUND_VARIABLE_259777))))) (ll_331 BOUND_VARIABLE_259771 BOUND_VARIABLE_259772 BOUND_VARIABLE_259773 BOUND_VARIABLE_259774 BOUND_VARIABLE_259775 BOUND_VARIABLE_259776 BOUND_VARIABLE_259777))))) (let ((_let_19640 (forall ((BOUND_VARIABLE_259760 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259761 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259762 tptp.code_integer) (BOUND_VARIABLE_259763 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259760 (@ BOUND_VARIABLE_259761 BOUND_VARIABLE_259762)) BOUND_VARIABLE_259763) (ll_330 BOUND_VARIABLE_259760 BOUND_VARIABLE_259761 BOUND_VARIABLE_259762 BOUND_VARIABLE_259763))))) (let ((_let_19641 (forall ((BOUND_VARIABLE_259749 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259750 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259751 tptp.code_integer) (BOUND_VARIABLE_259752 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259749 (@ BOUND_VARIABLE_259750 BOUND_VARIABLE_259751)) BOUND_VARIABLE_259752) (ll_329 BOUND_VARIABLE_259749 BOUND_VARIABLE_259750 BOUND_VARIABLE_259751 BOUND_VARIABLE_259752))))) (let ((_let_19642 (forall ((BOUND_VARIABLE_259740 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259741 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259742 tptp.int)) (= (@ BOUND_VARIABLE_259740 (@ BOUND_VARIABLE_259741 BOUND_VARIABLE_259742)) (ll_328 BOUND_VARIABLE_259740 BOUND_VARIABLE_259741 BOUND_VARIABLE_259742))))) (let ((_let_19643 (forall ((BOUND_VARIABLE_259731 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259732 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259733 tptp.int)) (= (@ BOUND_VARIABLE_259731 (@ BOUND_VARIABLE_259732 BOUND_VARIABLE_259733)) (ll_327 BOUND_VARIABLE_259731 BOUND_VARIABLE_259732 BOUND_VARIABLE_259733))))) (let ((_let_19644 (forall ((BOUND_VARIABLE_259722 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259723 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259724 tptp.nat)) (= (@ BOUND_VARIABLE_259722 (@ BOUND_VARIABLE_259723 BOUND_VARIABLE_259724)) (ll_326 BOUND_VARIABLE_259722 BOUND_VARIABLE_259723 BOUND_VARIABLE_259724))))) (let ((_let_19645 (forall ((BOUND_VARIABLE_259713 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259714 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259715 tptp.nat)) (= (@ BOUND_VARIABLE_259713 (@ BOUND_VARIABLE_259714 BOUND_VARIABLE_259715)) (ll_325 BOUND_VARIABLE_259713 BOUND_VARIABLE_259714 BOUND_VARIABLE_259715))))) (let ((_let_19646 (forall ((BOUND_VARIABLE_259704 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259705 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259706 tptp.int)) (= (@ BOUND_VARIABLE_259704 (@ BOUND_VARIABLE_259705 BOUND_VARIABLE_259706)) (ll_324 BOUND_VARIABLE_259704 BOUND_VARIABLE_259705 BOUND_VARIABLE_259706))))) (let ((_let_19647 (forall ((BOUND_VARIABLE_259695 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259696 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259697 tptp.int)) (= (@ BOUND_VARIABLE_259695 (@ BOUND_VARIABLE_259696 BOUND_VARIABLE_259697)) (ll_323 BOUND_VARIABLE_259695 BOUND_VARIABLE_259696 BOUND_VARIABLE_259697))))) (let ((_let_19648 (forall ((BOUND_VARIABLE_259686 (-> Bool Bool)) (BOUND_VARIABLE_259687 (-> tptp.nat Bool)) (BOUND_VARIABLE_259688 tptp.nat)) (= (@ BOUND_VARIABLE_259686 (@ BOUND_VARIABLE_259687 BOUND_VARIABLE_259688)) (ll_322 BOUND_VARIABLE_259686 BOUND_VARIABLE_259687 BOUND_VARIABLE_259688))))) (let ((_let_19649 (forall ((BOUND_VARIABLE_259677 (-> Bool Bool)) (BOUND_VARIABLE_259678 (-> tptp.nat Bool)) (BOUND_VARIABLE_259679 tptp.nat)) (= (@ BOUND_VARIABLE_259677 (@ BOUND_VARIABLE_259678 BOUND_VARIABLE_259679)) (ll_321 BOUND_VARIABLE_259677 BOUND_VARIABLE_259678 BOUND_VARIABLE_259679))))) (let ((_let_19650 (forall ((BOUND_VARIABLE_259666 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259667 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259668 tptp.code_integer) (BOUND_VARIABLE_259669 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259666 (@ BOUND_VARIABLE_259667 BOUND_VARIABLE_259668)) BOUND_VARIABLE_259669) (ll_320 BOUND_VARIABLE_259666 BOUND_VARIABLE_259667 BOUND_VARIABLE_259668 BOUND_VARIABLE_259669))))) (let ((_let_19651 (forall ((BOUND_VARIABLE_259655 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259656 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259657 tptp.code_integer) (BOUND_VARIABLE_259658 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259655 (@ BOUND_VARIABLE_259656 BOUND_VARIABLE_259657)) BOUND_VARIABLE_259658) (ll_319 BOUND_VARIABLE_259655 BOUND_VARIABLE_259656 BOUND_VARIABLE_259657 BOUND_VARIABLE_259658))))) (let ((_let_19652 (forall ((BOUND_VARIABLE_259646 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259647 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259648 tptp.int)) (= (@ BOUND_VARIABLE_259646 (@ BOUND_VARIABLE_259647 BOUND_VARIABLE_259648)) (ll_318 BOUND_VARIABLE_259646 BOUND_VARIABLE_259647 BOUND_VARIABLE_259648))))) (let ((_let_19653 (forall ((BOUND_VARIABLE_259637 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259638 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259639 tptp.int)) (= (@ BOUND_VARIABLE_259637 (@ BOUND_VARIABLE_259638 BOUND_VARIABLE_259639)) (ll_317 BOUND_VARIABLE_259637 BOUND_VARIABLE_259638 BOUND_VARIABLE_259639))))) (let ((_let_19654 (forall ((BOUND_VARIABLE_259628 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259629 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259630 tptp.int)) (= (@ BOUND_VARIABLE_259628 (@ BOUND_VARIABLE_259629 BOUND_VARIABLE_259630)) (ll_316 BOUND_VARIABLE_259628 BOUND_VARIABLE_259629 BOUND_VARIABLE_259630))))) (let ((_let_19655 (forall ((BOUND_VARIABLE_259619 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259620 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259621 tptp.int)) (= (@ BOUND_VARIABLE_259619 (@ BOUND_VARIABLE_259620 BOUND_VARIABLE_259621)) (ll_315 BOUND_VARIABLE_259619 BOUND_VARIABLE_259620 BOUND_VARIABLE_259621))))) (let ((_let_19656 (forall ((BOUND_VARIABLE_259610 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259611 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259612 tptp.nat)) (= (@ BOUND_VARIABLE_259610 (@ BOUND_VARIABLE_259611 BOUND_VARIABLE_259612)) (ll_314 BOUND_VARIABLE_259610 BOUND_VARIABLE_259611 BOUND_VARIABLE_259612))))) (let ((_let_19657 (forall ((BOUND_VARIABLE_259601 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259602 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259603 tptp.nat)) (= (@ BOUND_VARIABLE_259601 (@ BOUND_VARIABLE_259602 BOUND_VARIABLE_259603)) (ll_313 BOUND_VARIABLE_259601 BOUND_VARIABLE_259602 BOUND_VARIABLE_259603))))) (let ((_let_19658 (forall ((BOUND_VARIABLE_259592 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259593 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259594 tptp.nat)) (= (@ BOUND_VARIABLE_259592 (@ BOUND_VARIABLE_259593 BOUND_VARIABLE_259594)) (ll_312 BOUND_VARIABLE_259592 BOUND_VARIABLE_259593 BOUND_VARIABLE_259594))))) (let ((_let_19659 (forall ((BOUND_VARIABLE_259583 (-> Bool Bool)) (BOUND_VARIABLE_259584 (-> tptp.nat Bool)) (BOUND_VARIABLE_259585 tptp.nat)) (= (@ BOUND_VARIABLE_259583 (@ BOUND_VARIABLE_259584 BOUND_VARIABLE_259585)) (ll_311 BOUND_VARIABLE_259583 BOUND_VARIABLE_259584 BOUND_VARIABLE_259585))))) (let ((_let_19660 (forall ((BOUND_VARIABLE_259574 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259575 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259576 tptp.int)) (= (@ BOUND_VARIABLE_259574 (@ BOUND_VARIABLE_259575 BOUND_VARIABLE_259576)) (ll_310 BOUND_VARIABLE_259574 BOUND_VARIABLE_259575 BOUND_VARIABLE_259576))))) (let ((_let_19661 (forall ((BOUND_VARIABLE_259565 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259566 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259567 tptp.int)) (= (@ BOUND_VARIABLE_259565 (@ BOUND_VARIABLE_259566 BOUND_VARIABLE_259567)) (ll_309 BOUND_VARIABLE_259565 BOUND_VARIABLE_259566 BOUND_VARIABLE_259567))))) (let ((_let_19662 (forall ((BOUND_VARIABLE_259556 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259557 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259558 tptp.int)) (= (@ BOUND_VARIABLE_259556 (@ BOUND_VARIABLE_259557 BOUND_VARIABLE_259558)) (ll_308 BOUND_VARIABLE_259556 BOUND_VARIABLE_259557 BOUND_VARIABLE_259558))))) (let ((_let_19663 (forall ((BOUND_VARIABLE_259547 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259548 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259549 tptp.int)) (= (@ BOUND_VARIABLE_259547 (@ BOUND_VARIABLE_259548 BOUND_VARIABLE_259549)) (ll_307 BOUND_VARIABLE_259547 BOUND_VARIABLE_259548 BOUND_VARIABLE_259549))))) (let ((_let_19664 (forall ((BOUND_VARIABLE_259538 (-> Bool Bool)) (BOUND_VARIABLE_259539 (-> tptp.nat Bool)) (BOUND_VARIABLE_259540 tptp.nat)) (= (@ BOUND_VARIABLE_259538 (@ BOUND_VARIABLE_259539 BOUND_VARIABLE_259540)) (ll_306 BOUND_VARIABLE_259538 BOUND_VARIABLE_259539 BOUND_VARIABLE_259540))))) (let ((_let_19665 (forall ((BOUND_VARIABLE_259529 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259530 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259531 tptp.nat)) (= (@ BOUND_VARIABLE_259529 (@ BOUND_VARIABLE_259530 BOUND_VARIABLE_259531)) (ll_305 BOUND_VARIABLE_259529 BOUND_VARIABLE_259530 BOUND_VARIABLE_259531))))) (let ((_let_19666 (forall ((BOUND_VARIABLE_259520 (-> Bool Bool)) (BOUND_VARIABLE_259521 (-> tptp.nat Bool)) (BOUND_VARIABLE_259522 tptp.nat)) (= (@ BOUND_VARIABLE_259520 (@ BOUND_VARIABLE_259521 BOUND_VARIABLE_259522)) (ll_304 BOUND_VARIABLE_259520 BOUND_VARIABLE_259521 BOUND_VARIABLE_259522))))) (let ((_let_19667 (forall ((BOUND_VARIABLE_259511 (-> Bool Bool)) (BOUND_VARIABLE_259512 (-> tptp.nat Bool)) (BOUND_VARIABLE_259513 tptp.nat)) (= (@ BOUND_VARIABLE_259511 (@ BOUND_VARIABLE_259512 BOUND_VARIABLE_259513)) (ll_303 BOUND_VARIABLE_259511 BOUND_VARIABLE_259512 BOUND_VARIABLE_259513))))) (let ((_let_19668 (forall ((BOUND_VARIABLE_259502 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259503 tptp.int) (BOUND_VARIABLE_259504 tptp.code_integer)) (= (@ (@ BOUND_VARIABLE_259502 BOUND_VARIABLE_259503) BOUND_VARIABLE_259504) (ll_302 BOUND_VARIABLE_259502 BOUND_VARIABLE_259503 BOUND_VARIABLE_259504))))) (let ((_let_19669 (forall ((BOUND_VARIABLE_259493 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259494 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259495 tptp.int)) (= (@ (@ BOUND_VARIABLE_259493 BOUND_VARIABLE_259494) BOUND_VARIABLE_259495) (ll_301 BOUND_VARIABLE_259493 BOUND_VARIABLE_259494 BOUND_VARIABLE_259495))))) (let ((_let_19670 (forall ((BOUND_VARIABLE_259476 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259477 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259478 tptp.int) (BOUND_VARIABLE_259479 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_259476 BOUND_VARIABLE_259478) B4)) (not (@ (@ BOUND_VARIABLE_259477 B4) BOUND_VARIABLE_259479))))) (ll_300 BOUND_VARIABLE_259476 BOUND_VARIABLE_259477 BOUND_VARIABLE_259478 BOUND_VARIABLE_259479))))) (let ((_let_19671 (forall ((BOUND_VARIABLE_259459 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259460 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259461 tptp.int) (BOUND_VARIABLE_259462 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_259459 BOUND_VARIABLE_259461) B4)) (not (@ (@ BOUND_VARIABLE_259460 B4) BOUND_VARIABLE_259462))))) (ll_299 BOUND_VARIABLE_259459 BOUND_VARIABLE_259460 BOUND_VARIABLE_259461 BOUND_VARIABLE_259462))))) (let ((_let_19672 (forall ((BOUND_VARIABLE_259442 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259443 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259444 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259445 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_259442 BOUND_VARIABLE_259444) B4)) (not (@ (@ BOUND_VARIABLE_259443 B4) BOUND_VARIABLE_259445))))) (ll_298 BOUND_VARIABLE_259442 BOUND_VARIABLE_259443 BOUND_VARIABLE_259444 BOUND_VARIABLE_259445))))) (let ((_let_19673 (forall ((BOUND_VARIABLE_259425 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259426 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259427 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259428 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_259425 BOUND_VARIABLE_259427) B4)) (not (@ (@ BOUND_VARIABLE_259426 B4) BOUND_VARIABLE_259428))))) (ll_297 BOUND_VARIABLE_259425 BOUND_VARIABLE_259426 BOUND_VARIABLE_259427 BOUND_VARIABLE_259428))))) (let ((_let_19674 (forall ((BOUND_VARIABLE_259411 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259412 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259413 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259414 tptp.code_integer) (BOUND_VARIABLE_259415 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259411 (@ (@ (@ tptp.comp_C2822359487432382964nteger BOUND_VARIABLE_259412) BOUND_VARIABLE_259413) BOUND_VARIABLE_259414)) BOUND_VARIABLE_259415) (ll_296 BOUND_VARIABLE_259411 BOUND_VARIABLE_259412 BOUND_VARIABLE_259413 BOUND_VARIABLE_259414 BOUND_VARIABLE_259415))))) (let ((_let_19675 (forall ((BOUND_VARIABLE_259397 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259398 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259399 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259400 tptp.code_integer) (BOUND_VARIABLE_259401 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ (@ tptp.comp_C3983183376822107068nteger BOUND_VARIABLE_259397) BOUND_VARIABLE_259398) (@ BOUND_VARIABLE_259399 BOUND_VARIABLE_259400)) BOUND_VARIABLE_259401) (ll_295 BOUND_VARIABLE_259397 BOUND_VARIABLE_259398 BOUND_VARIABLE_259399 BOUND_VARIABLE_259400 BOUND_VARIABLE_259401))))) (let ((_let_19676 (forall ((BOUND_VARIABLE_259383 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259384 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259385 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259386 tptp.code_integer) (BOUND_VARIABLE_259387 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259383 (@ (@ (@ tptp.comp_C2931745410781319416nteger BOUND_VARIABLE_259384) BOUND_VARIABLE_259385) BOUND_VARIABLE_259386)) BOUND_VARIABLE_259387) (ll_294 BOUND_VARIABLE_259383 BOUND_VARIABLE_259384 BOUND_VARIABLE_259385 BOUND_VARIABLE_259386 BOUND_VARIABLE_259387))))) (let ((_let_19677 (forall ((BOUND_VARIABLE_259372 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_259373 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_259374 tptp.code_integer) (BOUND_VARIABLE_259375 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_259372 (@ BOUND_VARIABLE_259373 BOUND_VARIABLE_259374)) BOUND_VARIABLE_259375) (ll_293 BOUND_VARIABLE_259372 BOUND_VARIABLE_259373 BOUND_VARIABLE_259374 BOUND_VARIABLE_259375))))) (let ((_let_19678 (forall ((BOUND_VARIABLE_259360 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259361 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259362 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259363 tptp.int)) (= (@ BOUND_VARIABLE_259360 (@ (@ (@ tptp.comp_int_int_int BOUND_VARIABLE_259361) BOUND_VARIABLE_259362) BOUND_VARIABLE_259363)) (ll_292 BOUND_VARIABLE_259360 BOUND_VARIABLE_259361 BOUND_VARIABLE_259362 BOUND_VARIABLE_259363))))) (let ((_let_19679 (forall ((BOUND_VARIABLE_259349 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259350 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259351 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259352 tptp.int)) (= (@ BOUND_VARIABLE_259349 (@ BOUND_VARIABLE_259350 (@ BOUND_VARIABLE_259351 BOUND_VARIABLE_259352))) (ll_291 BOUND_VARIABLE_259349 BOUND_VARIABLE_259350 BOUND_VARIABLE_259351 BOUND_VARIABLE_259352))))) (let ((_let_19680 (forall ((BOUND_VARIABLE_259338 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259339 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259340 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259341 tptp.int)) (= (@ BOUND_VARIABLE_259338 (@ BOUND_VARIABLE_259339 (@ BOUND_VARIABLE_259340 BOUND_VARIABLE_259341))) (ll_290 BOUND_VARIABLE_259338 BOUND_VARIABLE_259339 BOUND_VARIABLE_259340 BOUND_VARIABLE_259341))))) (let ((_let_19681 (forall ((BOUND_VARIABLE_259329 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259330 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259331 tptp.int)) (= (@ BOUND_VARIABLE_259329 (@ BOUND_VARIABLE_259330 BOUND_VARIABLE_259331)) (ll_289 BOUND_VARIABLE_259329 BOUND_VARIABLE_259330 BOUND_VARIABLE_259331))))) (let ((_let_19682 (forall ((BOUND_VARIABLE_259317 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259318 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259319 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259320 tptp.int)) (= (@ BOUND_VARIABLE_259317 (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_259318) BOUND_VARIABLE_259319) BOUND_VARIABLE_259320)) (ll_288 BOUND_VARIABLE_259317 BOUND_VARIABLE_259318 BOUND_VARIABLE_259319 BOUND_VARIABLE_259320))))) (let ((_let_19683 (forall ((BOUND_VARIABLE_259305 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259306 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259307 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259308 tptp.int)) (= (@ (@ (@ tptp.comp_nat_num_nat BOUND_VARIABLE_259305) BOUND_VARIABLE_259306) (@ BOUND_VARIABLE_259307 BOUND_VARIABLE_259308)) (ll_287 BOUND_VARIABLE_259305 BOUND_VARIABLE_259306 BOUND_VARIABLE_259307 BOUND_VARIABLE_259308))))) (let ((_let_19684 (forall ((BOUND_VARIABLE_259294 (-> Bool Bool)) (BOUND_VARIABLE_259295 (-> Bool Bool)) (BOUND_VARIABLE_259296 (-> tptp.nat Bool)) (BOUND_VARIABLE_259297 tptp.nat)) (= (@ BOUND_VARIABLE_259294 (@ BOUND_VARIABLE_259295 (@ BOUND_VARIABLE_259296 BOUND_VARIABLE_259297))) (ll_286 BOUND_VARIABLE_259294 BOUND_VARIABLE_259295 BOUND_VARIABLE_259296 BOUND_VARIABLE_259297))))) (let ((_let_19685 (forall ((BOUND_VARIABLE_259282 (-> Bool Bool)) (BOUND_VARIABLE_259283 (-> Bool Bool)) (BOUND_VARIABLE_259284 (-> tptp.nat Bool)) (BOUND_VARIABLE_259285 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_259282) BOUND_VARIABLE_259283) (@ BOUND_VARIABLE_259284 BOUND_VARIABLE_259285)) (ll_285 BOUND_VARIABLE_259282 BOUND_VARIABLE_259283 BOUND_VARIABLE_259284 BOUND_VARIABLE_259285))))) (let ((_let_19686 (forall ((BOUND_VARIABLE_259270 (-> Bool Bool)) (BOUND_VARIABLE_259271 (-> tptp.nat Bool)) (BOUND_VARIABLE_259272 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259273 tptp.nat)) (= (@ BOUND_VARIABLE_259270 (@ (@ (@ tptp.comp_nat_o_nat BOUND_VARIABLE_259271) BOUND_VARIABLE_259272) BOUND_VARIABLE_259273)) (ll_284 BOUND_VARIABLE_259270 BOUND_VARIABLE_259271 BOUND_VARIABLE_259272 BOUND_VARIABLE_259273))))) (let ((_let_19687 (forall ((BOUND_VARIABLE_259261 (-> Bool Bool)) (BOUND_VARIABLE_259262 (-> tptp.nat Bool)) (BOUND_VARIABLE_259263 tptp.nat)) (= (@ BOUND_VARIABLE_259261 (@ BOUND_VARIABLE_259262 BOUND_VARIABLE_259263)) (ll_283 BOUND_VARIABLE_259261 BOUND_VARIABLE_259262 BOUND_VARIABLE_259263))))) (let ((_let_19688 (forall ((BOUND_VARIABLE_259252 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259253 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259254 tptp.int)) (= (@ BOUND_VARIABLE_259252 (@ BOUND_VARIABLE_259253 BOUND_VARIABLE_259254)) (ll_282 BOUND_VARIABLE_259252 BOUND_VARIABLE_259253 BOUND_VARIABLE_259254))))) (let ((_let_19689 (forall ((BOUND_VARIABLE_259240 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_259241 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259242 (-> tptp.int tptp.int)) (BOUND_VARIABLE_259243 tptp.int)) (= (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_259240) BOUND_VARIABLE_259241) (@ BOUND_VARIABLE_259242 BOUND_VARIABLE_259243)) (ll_281 BOUND_VARIABLE_259240 BOUND_VARIABLE_259241 BOUND_VARIABLE_259242 BOUND_VARIABLE_259243))))) (let ((_let_19690 (forall ((BOUND_VARIABLE_259231 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259232 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259233 tptp.int)) (= (@ BOUND_VARIABLE_259231 (@ BOUND_VARIABLE_259232 BOUND_VARIABLE_259233)) (ll_280 BOUND_VARIABLE_259231 BOUND_VARIABLE_259232 BOUND_VARIABLE_259233))))) (let ((_let_19691 (forall ((BOUND_VARIABLE_259219 (-> tptp.num tptp.num)) (BOUND_VARIABLE_259220 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_259221 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_259222 tptp.int)) (= (@ (@ (@ tptp.comp_num_num_nat BOUND_VARIABLE_259219) BOUND_VARIABLE_259220) (@ BOUND_VARIABLE_259221 BOUND_VARIABLE_259222)) (ll_279 BOUND_VARIABLE_259219 BOUND_VARIABLE_259220 BOUND_VARIABLE_259221 BOUND_VARIABLE_259222))))) (let ((_let_19692 (forall ((BOUND_VARIABLE_259209 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259210 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_259209 (@ tptp.product_fst_int_int BOUND_VARIABLE_259210)) (@ tptp.product_snd_int_int BOUND_VARIABLE_259210)) (ll_278 BOUND_VARIABLE_259209 BOUND_VARIABLE_259210))))) (let ((_let_19693 (forall ((BOUND_VARIABLE_259199 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259200 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_259199 (@ tptp.product_fst_int_int BOUND_VARIABLE_259200)) (@ tptp.product_snd_int_int BOUND_VARIABLE_259200)) (ll_277 BOUND_VARIABLE_259199 BOUND_VARIABLE_259200))))) (let ((_let_19694 (forall ((BOUND_VARIABLE_259173 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259174 tptp.int) (BOUND_VARIABLE_259175 tptp.int)) (= (ll_276 BOUND_VARIABLE_259173 BOUND_VARIABLE_259174 BOUND_VARIABLE_259175) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int BOUND_VARIABLE_259174) BOUND_VARIABLE_259175)) (@ tptp.collec213857154873943460nt_int (@ ll_3301 BOUND_VARIABLE_259173))))))) (let ((_let_19695 (forall ((BOUND_VARIABLE_259160 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_259161 tptp.nat) (BOUND_VARIABLE_259162 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_259161) BOUND_VARIABLE_259162)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o BOUND_VARIABLE_259160))) (ll_275 BOUND_VARIABLE_259160 BOUND_VARIABLE_259161 BOUND_VARIABLE_259162))))) (let ((_let_19696 (forall ((BOUND_VARIABLE_259143 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259144 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259145 tptp.int) (BOUND_VARIABLE_259146 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_259143 BOUND_VARIABLE_259145) B4)) (not (@ (@ BOUND_VARIABLE_259144 B4) BOUND_VARIABLE_259146))))) (ll_274 BOUND_VARIABLE_259143 BOUND_VARIABLE_259144 BOUND_VARIABLE_259145 BOUND_VARIABLE_259146))))) (let ((_let_19697 (forall ((BOUND_VARIABLE_259126 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_259127 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259128 tptp.int) (BOUND_VARIABLE_259129 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_259126 BOUND_VARIABLE_259128) B4)) (not (@ (@ BOUND_VARIABLE_259127 B4) BOUND_VARIABLE_259129))))) (ll_273 BOUND_VARIABLE_259126 BOUND_VARIABLE_259127 BOUND_VARIABLE_259128 BOUND_VARIABLE_259129))))) (let ((_let_19698 (forall ((BOUND_VARIABLE_259109 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259110 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259111 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259112 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_259109 BOUND_VARIABLE_259111) B4)) (not (@ (@ BOUND_VARIABLE_259110 B4) BOUND_VARIABLE_259112))))) (ll_272 BOUND_VARIABLE_259109 BOUND_VARIABLE_259110 BOUND_VARIABLE_259111 BOUND_VARIABLE_259112))))) (let ((_let_19699 (forall ((BOUND_VARIABLE_259092 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_259093 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_259094 tptp.product_prod_nat_nat) (BOUND_VARIABLE_259095 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_259092 BOUND_VARIABLE_259094) B4)) (not (@ (@ BOUND_VARIABLE_259093 B4) BOUND_VARIABLE_259095))))) (ll_271 BOUND_VARIABLE_259092 BOUND_VARIABLE_259093 BOUND_VARIABLE_259094 BOUND_VARIABLE_259095))))) (let ((_let_19700 (forall ((BOUND_VARIABLE_259073 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259074 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259075 (-> tptp.int tptp.num)) (BOUND_VARIABLE_259076 (-> tptp.int tptp.num))) (= (ll_270 BOUND_VARIABLE_259073 BOUND_VARIABLE_259074 BOUND_VARIABLE_259075 BOUND_VARIABLE_259076) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3300) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_259075) BOUND_VARIABLE_259076) (@ (@ tptp.relcompp_num_num_num BOUND_VARIABLE_259073) BOUND_VARIABLE_259074))))))) (let ((_let_19701 (forall ((BOUND_VARIABLE_259057 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259058 (-> tptp.int tptp.num)) (BOUND_VARIABLE_259059 (-> tptp.int tptp.num))) (= (ll_269 BOUND_VARIABLE_259057 BOUND_VARIABLE_259058 BOUND_VARIABLE_259059) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3299) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_259058) BOUND_VARIABLE_259059) BOUND_VARIABLE_259057)))))) (let ((_let_19702 (forall ((BOUND_VARIABLE_259041 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259042 (-> tptp.int tptp.num)) (BOUND_VARIABLE_259043 (-> tptp.int tptp.num))) (= (ll_268 BOUND_VARIABLE_259041 BOUND_VARIABLE_259042 BOUND_VARIABLE_259043) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3298) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_259042) BOUND_VARIABLE_259043) BOUND_VARIABLE_259041)))))) (let ((_let_19703 (forall ((BOUND_VARIABLE_259028 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_259029 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259030 (-> tptp.int tptp.num)) (BOUND_VARIABLE_259031 (-> tptp.code_integer tptp.num))) (= (@ (@ tptp.ord_le996066559646421213eger_o BOUND_VARIABLE_259028) (@ (@ (@ tptp.bNF_vi2326032003723069084_num_o BOUND_VARIABLE_259030) BOUND_VARIABLE_259031) BOUND_VARIABLE_259029)) (ll_267 BOUND_VARIABLE_259028 BOUND_VARIABLE_259029 BOUND_VARIABLE_259030 BOUND_VARIABLE_259031))))) (let ((_let_19704 (forall ((BOUND_VARIABLE_259021 tptp.int) (BOUND_VARIABLE_259022 tptp.int)) (= (= BOUND_VARIABLE_259021 BOUND_VARIABLE_259022) (ll_266 BOUND_VARIABLE_259021 BOUND_VARIABLE_259022))))) (let ((_let_19705 (forall ((BOUND_VARIABLE_259005 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_259006 (-> tptp.int tptp.num)) (BOUND_VARIABLE_259007 (-> tptp.int tptp.num))) (= (ll_265 BOUND_VARIABLE_259005 BOUND_VARIABLE_259006 BOUND_VARIABLE_259007) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3297) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_259006) BOUND_VARIABLE_259007) BOUND_VARIABLE_259005)))))) (let ((_let_19706 (forall ((BOUND_VARIABLE_258989 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_258990 (-> tptp.int tptp.num)) (BOUND_VARIABLE_258991 (-> tptp.int tptp.num))) (= (ll_264 BOUND_VARIABLE_258989 BOUND_VARIABLE_258990 BOUND_VARIABLE_258991) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3296) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_258990) BOUND_VARIABLE_258991) BOUND_VARIABLE_258989)))))) (let ((_let_19707 (forall ((BOUND_VARIABLE_258973 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_258974 (-> tptp.int tptp.num)) (BOUND_VARIABLE_258975 (-> tptp.int tptp.num))) (= (ll_263 BOUND_VARIABLE_258973 BOUND_VARIABLE_258974 BOUND_VARIABLE_258975) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3295) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_258974) BOUND_VARIABLE_258975) BOUND_VARIABLE_258973)))))) (let ((_let_19708 (forall ((BOUND_VARIABLE_258966 tptp.int) (BOUND_VARIABLE_258967 tptp.int)) (= (= BOUND_VARIABLE_258966 BOUND_VARIABLE_258967) (ll_262 BOUND_VARIABLE_258966 BOUND_VARIABLE_258967))))) (let ((_let_19709 (forall ((BOUND_VARIABLE_258950 (-> tptp.num tptp.num Bool)) (BOUND_VARIABLE_258951 (-> tptp.int tptp.num)) (BOUND_VARIABLE_258952 (-> tptp.int tptp.num))) (= (ll_261 BOUND_VARIABLE_258950 BOUND_VARIABLE_258951 BOUND_VARIABLE_258952) (@ (@ tptp.ord_le6741204236512500942_int_o ll_3294) (@ (@ (@ tptp.bNF_vi2107963681178519309_num_o BOUND_VARIABLE_258951) BOUND_VARIABLE_258952) BOUND_VARIABLE_258950)))))) (let ((_let_19710 (forall ((BOUND_VARIABLE_258943 tptp.int) (BOUND_VARIABLE_258944 tptp.int)) (= (= BOUND_VARIABLE_258943 BOUND_VARIABLE_258944) (ll_260 BOUND_VARIABLE_258943 BOUND_VARIABLE_258944))))) (let ((_let_19711 (forall ((BOUND_VARIABLE_258936 tptp.int) (BOUND_VARIABLE_258937 tptp.int)) (= (= BOUND_VARIABLE_258936 BOUND_VARIABLE_258937) (ll_259 BOUND_VARIABLE_258936 BOUND_VARIABLE_258937))))) (let ((_let_19712 (forall ((BOUND_VARIABLE_258929 tptp.int) (BOUND_VARIABLE_258930 tptp.int)) (= (= BOUND_VARIABLE_258929 BOUND_VARIABLE_258930) (ll_258 BOUND_VARIABLE_258929 BOUND_VARIABLE_258930))))) (let ((_let_19713 (forall ((BOUND_VARIABLE_258922 tptp.int) (BOUND_VARIABLE_258923 tptp.int)) (= (= BOUND_VARIABLE_258922 BOUND_VARIABLE_258923) (ll_257 BOUND_VARIABLE_258922 BOUND_VARIABLE_258923))))) (let ((_let_19714 (forall ((BOUND_VARIABLE_258915 tptp.nat) (BOUND_VARIABLE_258916 tptp.nat)) (= (= BOUND_VARIABLE_258915 BOUND_VARIABLE_258916) (ll_256 BOUND_VARIABLE_258915 BOUND_VARIABLE_258916))))) (let ((_let_19715 (forall ((BOUND_VARIABLE_258908 tptp.nat) (BOUND_VARIABLE_258909 tptp.nat)) (= (= BOUND_VARIABLE_258908 BOUND_VARIABLE_258909) (ll_255 BOUND_VARIABLE_258908 BOUND_VARIABLE_258909))))) (let ((_let_19716 (forall ((BOUND_VARIABLE_258901 tptp.nat) (BOUND_VARIABLE_258902 tptp.nat)) (= (= BOUND_VARIABLE_258901 BOUND_VARIABLE_258902) (ll_254 BOUND_VARIABLE_258901 BOUND_VARIABLE_258902))))) (let ((_let_19717 (forall ((BOUND_VARIABLE_258894 tptp.nat) (BOUND_VARIABLE_258895 tptp.nat)) (= (= BOUND_VARIABLE_258894 BOUND_VARIABLE_258895) (ll_253 BOUND_VARIABLE_258894 BOUND_VARIABLE_258895))))) (let ((_let_19718 (forall ((BOUND_VARIABLE_258887 tptp.int) (BOUND_VARIABLE_258888 tptp.int)) (= (= BOUND_VARIABLE_258887 BOUND_VARIABLE_258888) (ll_252 BOUND_VARIABLE_258887 BOUND_VARIABLE_258888))))) (let ((_let_19719 (forall ((BOUND_VARIABLE_258880 tptp.int) (BOUND_VARIABLE_258881 tptp.int)) (= (= BOUND_VARIABLE_258880 BOUND_VARIABLE_258881) (ll_251 BOUND_VARIABLE_258880 BOUND_VARIABLE_258881))))) (let ((_let_19720 (forall ((BOUND_VARIABLE_258873 tptp.nat) (BOUND_VARIABLE_258874 tptp.nat)) (= (= BOUND_VARIABLE_258873 BOUND_VARIABLE_258874) (ll_250 BOUND_VARIABLE_258873 BOUND_VARIABLE_258874))))) (let ((_let_19721 (forall ((BOUND_VARIABLE_258866 tptp.nat) (BOUND_VARIABLE_258867 tptp.nat)) (= (= BOUND_VARIABLE_258866 BOUND_VARIABLE_258867) (ll_249 BOUND_VARIABLE_258866 BOUND_VARIABLE_258867))))) (let ((_let_19722 (forall ((BOUND_VARIABLE_258859 tptp.nat) (BOUND_VARIABLE_258860 tptp.nat)) (= (= BOUND_VARIABLE_258859 BOUND_VARIABLE_258860) (ll_248 BOUND_VARIABLE_258859 BOUND_VARIABLE_258860))))) (let ((_let_19723 (forall ((BOUND_VARIABLE_258852 tptp.nat) (BOUND_VARIABLE_258853 tptp.nat)) (= (= BOUND_VARIABLE_258852 BOUND_VARIABLE_258853) (ll_247 BOUND_VARIABLE_258852 BOUND_VARIABLE_258853))))) (let ((_let_19724 (forall ((BOUND_VARIABLE_258832 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258833 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258834 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_258835 tptp.int) (BOUND_VARIABLE_258836 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ (@ (@ tptp.relcompp_int_int_int BOUND_VARIABLE_258832) BOUND_VARIABLE_258833) BOUND_VARIABLE_258835) B4)) (not (@ (@ BOUND_VARIABLE_258834 B4) BOUND_VARIABLE_258836))))) (ll_246 BOUND_VARIABLE_258832 BOUND_VARIABLE_258833 BOUND_VARIABLE_258834 BOUND_VARIABLE_258835 BOUND_VARIABLE_258836))))) (let ((_let_19725 (forall ((BOUND_VARIABLE_258809 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258810 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_258811 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258812 tptp.int) (BOUND_VARIABLE_258813 tptp.code_integer)) (= (ll_245 BOUND_VARIABLE_258809 BOUND_VARIABLE_258810 BOUND_VARIABLE_258811 BOUND_VARIABLE_258812 BOUND_VARIABLE_258813) (and (not (forall ((BOUND_VARIABLE_170939 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_258809 BOUND_VARIABLE_170939) BOUND_VARIABLE_170939)) (not (@ (@ BOUND_VARIABLE_258810 BOUND_VARIABLE_170939) BOUND_VARIABLE_258813))))) (not (forall ((B4 tptp.int)) (not (@ (@ BOUND_VARIABLE_258811 BOUND_VARIABLE_258812) B4))))))))) (let ((_let_19726 (forall ((BOUND_VARIABLE_258789 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_258790 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_258791 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_258792 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258793 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ (@ (@ tptp.relcom282571730187242960at_nat BOUND_VARIABLE_258789) BOUND_VARIABLE_258790) BOUND_VARIABLE_258792) B4)) (not (@ (@ BOUND_VARIABLE_258791 B4) BOUND_VARIABLE_258793))))) (ll_244 BOUND_VARIABLE_258789 BOUND_VARIABLE_258790 BOUND_VARIABLE_258791 BOUND_VARIABLE_258792 BOUND_VARIABLE_258793))))) (let ((_let_19727 (forall ((BOUND_VARIABLE_258766 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_258767 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_258768 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_258769 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258770 tptp.int)) (= (ll_243 BOUND_VARIABLE_258766 BOUND_VARIABLE_258767 BOUND_VARIABLE_258768 BOUND_VARIABLE_258769 BOUND_VARIABLE_258770) (and (not (forall ((BOUND_VARIABLE_170854 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_258766 BOUND_VARIABLE_170854) BOUND_VARIABLE_170854)) (not (@ (@ BOUND_VARIABLE_258767 BOUND_VARIABLE_170854) BOUND_VARIABLE_258770))))) (not (forall ((B4 tptp.product_prod_nat_nat)) (not (@ (@ BOUND_VARIABLE_258768 BOUND_VARIABLE_258769) B4))))))))) (let ((_let_19728 (forall ((BOUND_VARIABLE_258749 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258750 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_258751 tptp.int) (BOUND_VARIABLE_258752 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_258749 BOUND_VARIABLE_258751) B4)) (not (@ (@ BOUND_VARIABLE_258750 B4) BOUND_VARIABLE_258752))))) (ll_242 BOUND_VARIABLE_258749 BOUND_VARIABLE_258750 BOUND_VARIABLE_258751 BOUND_VARIABLE_258752))))) (let ((_let_19729 (forall ((BOUND_VARIABLE_258729 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258730 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_258731 (-> tptp.code_integer tptp.code_integer Bool)) (BOUND_VARIABLE_258732 tptp.int) (BOUND_VARIABLE_258733 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_258729 BOUND_VARIABLE_258732) B4)) (not (@ (@ (@ (@ tptp.relcom8320293257703906841nteger BOUND_VARIABLE_258730) BOUND_VARIABLE_258731) B4) BOUND_VARIABLE_258733))))) (ll_241 BOUND_VARIABLE_258729 BOUND_VARIABLE_258730 BOUND_VARIABLE_258731 BOUND_VARIABLE_258732 BOUND_VARIABLE_258733))))) (let ((_let_19730 (forall ((BOUND_VARIABLE_258712 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_258713 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_258714 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258715 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_258712 BOUND_VARIABLE_258714) B4)) (not (@ (@ BOUND_VARIABLE_258713 B4) BOUND_VARIABLE_258715))))) (ll_240 BOUND_VARIABLE_258712 BOUND_VARIABLE_258713 BOUND_VARIABLE_258714 BOUND_VARIABLE_258715))))) (let ((_let_19731 (forall ((BOUND_VARIABLE_258692 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_258693 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_258694 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258695 tptp.product_prod_nat_nat) (BOUND_VARIABLE_258696 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_258692 BOUND_VARIABLE_258695) B4)) (not (@ (@ (@ (@ tptp.relcom2949942408940504938nt_int BOUND_VARIABLE_258693) BOUND_VARIABLE_258694) B4) BOUND_VARIABLE_258696))))) (ll_239 BOUND_VARIABLE_258692 BOUND_VARIABLE_258693 BOUND_VARIABLE_258694 BOUND_VARIABLE_258695 BOUND_VARIABLE_258696))))) (let ((_let_19732 (forall ((BOUND_VARIABLE_258680 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_258681 tptp.product_prod_int_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int BOUND_VARIABLE_258681)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258681))) BOUND_VARIABLE_258680) (ll_238 BOUND_VARIABLE_258680 BOUND_VARIABLE_258681))))) (let ((_let_19733 (forall ((BOUND_VARIABLE_258669 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_258670 tptp.nat) (BOUND_VARIABLE_258671 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_258670) BOUND_VARIABLE_258671)) BOUND_VARIABLE_258669) (ll_237 BOUND_VARIABLE_258669 BOUND_VARIABLE_258670 BOUND_VARIABLE_258671))))) (let ((_let_19734 (forall ((BOUND_VARIABLE_258657 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_258658 tptp.product_prod_int_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int BOUND_VARIABLE_258658)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258658))) BOUND_VARIABLE_258657) (ll_236 BOUND_VARIABLE_258657 BOUND_VARIABLE_258658))))) (let ((_let_19735 (forall ((BOUND_VARIABLE_258646 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_258647 tptp.nat) (BOUND_VARIABLE_258648 tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_258647) BOUND_VARIABLE_258648)) BOUND_VARIABLE_258646) (ll_235 BOUND_VARIABLE_258646 BOUND_VARIABLE_258647 BOUND_VARIABLE_258648))))) (let ((_let_19736 (forall ((BOUND_VARIABLE_258637 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258638 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258639 tptp.int)) (= (@ BOUND_VARIABLE_258637 (@ BOUND_VARIABLE_258638 BOUND_VARIABLE_258639)) (ll_234 BOUND_VARIABLE_258637 BOUND_VARIABLE_258638 BOUND_VARIABLE_258639))))) (let ((_let_19737 (forall ((BOUND_VARIABLE_258628 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258629 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258630 tptp.int)) (= (@ BOUND_VARIABLE_258628 (@ BOUND_VARIABLE_258629 BOUND_VARIABLE_258630)) (ll_233 BOUND_VARIABLE_258628 BOUND_VARIABLE_258629 BOUND_VARIABLE_258630))))) (let ((_let_19738 (forall ((BOUND_VARIABLE_258615 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258616 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258617 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_258615 (@ tptp.product_fst_int_int BOUND_VARIABLE_258617))) (@ BOUND_VARIABLE_258616 (@ tptp.product_snd_int_int BOUND_VARIABLE_258617))) (ll_232 BOUND_VARIABLE_258615 BOUND_VARIABLE_258616 BOUND_VARIABLE_258617))))) (let ((_let_19739 (forall ((BOUND_VARIABLE_258606 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258607 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258608 tptp.int)) (= (@ BOUND_VARIABLE_258606 (@ BOUND_VARIABLE_258607 BOUND_VARIABLE_258608)) (ll_231 BOUND_VARIABLE_258606 BOUND_VARIABLE_258607 BOUND_VARIABLE_258608))))) (let ((_let_19740 (forall ((BOUND_VARIABLE_258597 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258598 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258599 tptp.nat)) (= (@ BOUND_VARIABLE_258597 (@ BOUND_VARIABLE_258598 BOUND_VARIABLE_258599)) (ll_230 BOUND_VARIABLE_258597 BOUND_VARIABLE_258598 BOUND_VARIABLE_258599))))) (let ((_let_19741 (forall ((BOUND_VARIABLE_258588 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258589 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258590 tptp.nat)) (= (@ BOUND_VARIABLE_258588 (@ BOUND_VARIABLE_258589 BOUND_VARIABLE_258590)) (ll_229 BOUND_VARIABLE_258588 BOUND_VARIABLE_258589 BOUND_VARIABLE_258590))))) (let ((_let_19742 (forall ((BOUND_VARIABLE_258579 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258580 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258581 tptp.int)) (= (@ BOUND_VARIABLE_258579 (@ BOUND_VARIABLE_258580 BOUND_VARIABLE_258581)) (ll_228 BOUND_VARIABLE_258579 BOUND_VARIABLE_258580 BOUND_VARIABLE_258581))))) (let ((_let_19743 (forall ((BOUND_VARIABLE_258570 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258571 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258572 tptp.nat)) (= (@ BOUND_VARIABLE_258570 (@ BOUND_VARIABLE_258571 BOUND_VARIABLE_258572)) (ll_227 BOUND_VARIABLE_258570 BOUND_VARIABLE_258571 BOUND_VARIABLE_258572))))) (let ((_let_19744 (forall ((BOUND_VARIABLE_258561 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258562 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258563 tptp.nat)) (= (@ BOUND_VARIABLE_258561 (@ BOUND_VARIABLE_258562 BOUND_VARIABLE_258563)) (ll_226 BOUND_VARIABLE_258561 BOUND_VARIABLE_258562 BOUND_VARIABLE_258563))))) (let ((_let_19745 (forall ((BOUND_VARIABLE_258546 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258547 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258548 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258549 tptp.product_prod_int_int)) (= (@ (@ (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o BOUND_VARIABLE_258546) BOUND_VARIABLE_258547) BOUND_VARIABLE_258548) (@ tptp.product_fst_int_int BOUND_VARIABLE_258549)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258549)) (ll_225 BOUND_VARIABLE_258546 BOUND_VARIABLE_258547 BOUND_VARIABLE_258548 BOUND_VARIABLE_258549))))) (let ((_let_19746 (forall ((BOUND_VARIABLE_258536 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258537 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_258536 (@ tptp.product_fst_int_int BOUND_VARIABLE_258537)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258537)) (ll_224 BOUND_VARIABLE_258536 BOUND_VARIABLE_258537))))) (let ((_let_19747 (forall ((BOUND_VARIABLE_258521 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258522 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258523 (-> tptp.nat tptp.nat Bool)) (BOUND_VARIABLE_258524 tptp.product_prod_int_int)) (= (@ (@ (@ (@ (@ tptp.bNF_vi2193923016096921761_nat_o BOUND_VARIABLE_258521) BOUND_VARIABLE_258522) BOUND_VARIABLE_258523) (@ tptp.product_fst_int_int BOUND_VARIABLE_258524)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258524)) (ll_223 BOUND_VARIABLE_258521 BOUND_VARIABLE_258522 BOUND_VARIABLE_258523 BOUND_VARIABLE_258524))))) (let ((_let_19748 (forall ((BOUND_VARIABLE_258511 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258512 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_258511 (@ tptp.product_fst_int_int BOUND_VARIABLE_258512)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258512)) (ll_222 BOUND_VARIABLE_258511 BOUND_VARIABLE_258512))))) (let ((_let_19749 (forall ((BOUND_VARIABLE_258501 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258502 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_258501 (@ tptp.product_fst_int_int BOUND_VARIABLE_258502)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258502)) (ll_221 BOUND_VARIABLE_258501 BOUND_VARIABLE_258502))))) (let ((_let_19750 (forall ((BOUND_VARIABLE_258491 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_258492 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_258491 (@ tptp.product_fst_int_int BOUND_VARIABLE_258492)) (@ tptp.product_snd_int_int BOUND_VARIABLE_258492)) (ll_220 BOUND_VARIABLE_258491 BOUND_VARIABLE_258492))))) (let ((_let_19751 (forall ((BOUND_VARIABLE_258482 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258483 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258484 tptp.nat)) (= (@ BOUND_VARIABLE_258482 (@ BOUND_VARIABLE_258483 BOUND_VARIABLE_258484)) (ll_219 BOUND_VARIABLE_258482 BOUND_VARIABLE_258483 BOUND_VARIABLE_258484))))) (let ((_let_19752 (forall ((BOUND_VARIABLE_258473 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258474 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258475 tptp.int)) (= (@ BOUND_VARIABLE_258473 (@ BOUND_VARIABLE_258474 BOUND_VARIABLE_258475)) (ll_218 BOUND_VARIABLE_258473 BOUND_VARIABLE_258474 BOUND_VARIABLE_258475))))) (let ((_let_19753 (forall ((BOUND_VARIABLE_258464 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258465 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258466 tptp.nat)) (= (@ BOUND_VARIABLE_258464 (@ BOUND_VARIABLE_258465 BOUND_VARIABLE_258466)) (ll_217 BOUND_VARIABLE_258464 BOUND_VARIABLE_258465 BOUND_VARIABLE_258466))))) (let ((_let_19754 (forall ((BOUND_VARIABLE_258455 (-> Bool Bool)) (BOUND_VARIABLE_258456 (-> tptp.nat Bool)) (BOUND_VARIABLE_258457 tptp.nat)) (= (@ BOUND_VARIABLE_258455 (@ BOUND_VARIABLE_258456 BOUND_VARIABLE_258457)) (ll_216 BOUND_VARIABLE_258455 BOUND_VARIABLE_258456 BOUND_VARIABLE_258457))))) (let ((_let_19755 (forall ((BOUND_VARIABLE_258446 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258447 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258448 tptp.int)) (= (@ BOUND_VARIABLE_258446 (@ BOUND_VARIABLE_258447 BOUND_VARIABLE_258448)) (ll_215 BOUND_VARIABLE_258446 BOUND_VARIABLE_258447 BOUND_VARIABLE_258448))))) (let ((_let_19756 (forall ((BOUND_VARIABLE_258437 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258438 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258439 tptp.int)) (= (@ BOUND_VARIABLE_258437 (@ BOUND_VARIABLE_258438 BOUND_VARIABLE_258439)) (ll_214 BOUND_VARIABLE_258437 BOUND_VARIABLE_258438 BOUND_VARIABLE_258439))))) (let ((_let_19757 (forall ((BOUND_VARIABLE_258428 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258429 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258430 tptp.int)) (= (@ BOUND_VARIABLE_258428 (@ BOUND_VARIABLE_258429 BOUND_VARIABLE_258430)) (ll_213 BOUND_VARIABLE_258428 BOUND_VARIABLE_258429 BOUND_VARIABLE_258430))))) (let ((_let_19758 (forall ((BOUND_VARIABLE_258419 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258420 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258421 tptp.nat)) (= (@ BOUND_VARIABLE_258419 (@ BOUND_VARIABLE_258420 BOUND_VARIABLE_258421)) (ll_212 BOUND_VARIABLE_258419 BOUND_VARIABLE_258420 BOUND_VARIABLE_258421))))) (let ((_let_19759 (forall ((BOUND_VARIABLE_258410 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258411 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258412 tptp.int)) (= (@ BOUND_VARIABLE_258410 (@ BOUND_VARIABLE_258411 BOUND_VARIABLE_258412)) (ll_211 BOUND_VARIABLE_258410 BOUND_VARIABLE_258411 BOUND_VARIABLE_258412))))) (let ((_let_19760 (forall ((BOUND_VARIABLE_258401 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258402 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258403 tptp.int)) (= (@ BOUND_VARIABLE_258401 (@ BOUND_VARIABLE_258402 BOUND_VARIABLE_258403)) (ll_210 BOUND_VARIABLE_258401 BOUND_VARIABLE_258402 BOUND_VARIABLE_258403))))) (let ((_let_19761 (forall ((BOUND_VARIABLE_258392 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258393 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258394 tptp.int)) (= (@ BOUND_VARIABLE_258392 (@ BOUND_VARIABLE_258393 BOUND_VARIABLE_258394)) (ll_209 BOUND_VARIABLE_258392 BOUND_VARIABLE_258393 BOUND_VARIABLE_258394))))) (let ((_let_19762 (forall ((BOUND_VARIABLE_258383 (-> Bool Bool)) (BOUND_VARIABLE_258384 (-> tptp.nat Bool)) (BOUND_VARIABLE_258385 tptp.nat)) (= (@ BOUND_VARIABLE_258383 (@ BOUND_VARIABLE_258384 BOUND_VARIABLE_258385)) (ll_208 BOUND_VARIABLE_258383 BOUND_VARIABLE_258384 BOUND_VARIABLE_258385))))) (let ((_let_19763 (forall ((BOUND_VARIABLE_258374 (-> Bool Bool)) (BOUND_VARIABLE_258375 (-> tptp.nat Bool)) (BOUND_VARIABLE_258376 tptp.nat)) (= (@ BOUND_VARIABLE_258374 (@ BOUND_VARIABLE_258375 BOUND_VARIABLE_258376)) (ll_207 BOUND_VARIABLE_258374 BOUND_VARIABLE_258375 BOUND_VARIABLE_258376))))) (let ((_let_19764 (forall ((BOUND_VARIABLE_258365 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258366 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258367 tptp.int)) (= (@ BOUND_VARIABLE_258365 (@ BOUND_VARIABLE_258366 BOUND_VARIABLE_258367)) (ll_206 BOUND_VARIABLE_258365 BOUND_VARIABLE_258366 BOUND_VARIABLE_258367))))) (let ((_let_19765 (forall ((BOUND_VARIABLE_258356 (-> Bool Bool)) (BOUND_VARIABLE_258357 (-> tptp.nat Bool)) (BOUND_VARIABLE_258358 tptp.nat)) (= (@ BOUND_VARIABLE_258356 (@ BOUND_VARIABLE_258357 BOUND_VARIABLE_258358)) (ll_205 BOUND_VARIABLE_258356 BOUND_VARIABLE_258357 BOUND_VARIABLE_258358))))) (let ((_let_19766 (forall ((BOUND_VARIABLE_258347 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258348 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258349 tptp.nat)) (= (@ BOUND_VARIABLE_258347 (@ BOUND_VARIABLE_258348 BOUND_VARIABLE_258349)) (ll_204 BOUND_VARIABLE_258347 BOUND_VARIABLE_258348 BOUND_VARIABLE_258349))))) (let ((_let_19767 (forall ((BOUND_VARIABLE_258338 (-> Bool Bool)) (BOUND_VARIABLE_258339 (-> tptp.nat Bool)) (BOUND_VARIABLE_258340 tptp.nat)) (= (@ BOUND_VARIABLE_258338 (@ BOUND_VARIABLE_258339 BOUND_VARIABLE_258340)) (ll_203 BOUND_VARIABLE_258338 BOUND_VARIABLE_258339 BOUND_VARIABLE_258340))))) (let ((_let_19768 (forall ((BOUND_VARIABLE_258329 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258330 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258331 tptp.int)) (= (@ BOUND_VARIABLE_258329 (@ BOUND_VARIABLE_258330 BOUND_VARIABLE_258331)) (ll_202 BOUND_VARIABLE_258329 BOUND_VARIABLE_258330 BOUND_VARIABLE_258331))))) (let ((_let_19769 (forall ((BOUND_VARIABLE_258320 (-> Bool Bool)) (BOUND_VARIABLE_258321 (-> tptp.nat Bool)) (BOUND_VARIABLE_258322 tptp.nat)) (= (@ BOUND_VARIABLE_258320 (@ BOUND_VARIABLE_258321 BOUND_VARIABLE_258322)) (ll_201 BOUND_VARIABLE_258320 BOUND_VARIABLE_258321 BOUND_VARIABLE_258322))))) (let ((_let_19770 (forall ((BOUND_VARIABLE_258311 (-> Bool Bool)) (BOUND_VARIABLE_258312 (-> tptp.nat Bool)) (BOUND_VARIABLE_258313 tptp.nat)) (= (@ BOUND_VARIABLE_258311 (@ BOUND_VARIABLE_258312 BOUND_VARIABLE_258313)) (ll_200 BOUND_VARIABLE_258311 BOUND_VARIABLE_258312 BOUND_VARIABLE_258313))))) (let ((_let_19771 (forall ((BOUND_VARIABLE_258300 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258301 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258302 tptp.code_integer) (BOUND_VARIABLE_258303 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_258300 (@ BOUND_VARIABLE_258301 BOUND_VARIABLE_258302)) BOUND_VARIABLE_258303) (ll_199 BOUND_VARIABLE_258300 BOUND_VARIABLE_258301 BOUND_VARIABLE_258302 BOUND_VARIABLE_258303))))) (let ((_let_19772 (forall ((BOUND_VARIABLE_258289 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258290 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258291 tptp.code_integer) (BOUND_VARIABLE_258292 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_258289 (@ BOUND_VARIABLE_258290 BOUND_VARIABLE_258291)) BOUND_VARIABLE_258292) (ll_198 BOUND_VARIABLE_258289 BOUND_VARIABLE_258290 BOUND_VARIABLE_258291 BOUND_VARIABLE_258292))))) (let ((_let_19773 (forall ((BOUND_VARIABLE_258280 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258281 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258282 tptp.int)) (= (@ BOUND_VARIABLE_258280 (@ BOUND_VARIABLE_258281 BOUND_VARIABLE_258282)) (ll_197 BOUND_VARIABLE_258280 BOUND_VARIABLE_258281 BOUND_VARIABLE_258282))))) (let ((_let_19774 (forall ((BOUND_VARIABLE_258271 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258272 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258273 tptp.int)) (= (@ BOUND_VARIABLE_258271 (@ BOUND_VARIABLE_258272 BOUND_VARIABLE_258273)) (ll_196 BOUND_VARIABLE_258271 BOUND_VARIABLE_258272 BOUND_VARIABLE_258273))))) (let ((_let_19775 (forall ((BOUND_VARIABLE_258262 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258263 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258264 tptp.nat)) (= (@ BOUND_VARIABLE_258262 (@ BOUND_VARIABLE_258263 BOUND_VARIABLE_258264)) (ll_195 BOUND_VARIABLE_258262 BOUND_VARIABLE_258263 BOUND_VARIABLE_258264))))) (let ((_let_19776 (forall ((BOUND_VARIABLE_258253 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258254 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258255 tptp.nat)) (= (@ BOUND_VARIABLE_258253 (@ BOUND_VARIABLE_258254 BOUND_VARIABLE_258255)) (ll_194 BOUND_VARIABLE_258253 BOUND_VARIABLE_258254 BOUND_VARIABLE_258255))))) (let ((_let_19777 (forall ((BOUND_VARIABLE_258244 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258245 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258246 tptp.int)) (= (@ BOUND_VARIABLE_258244 (@ BOUND_VARIABLE_258245 BOUND_VARIABLE_258246)) (ll_193 BOUND_VARIABLE_258244 BOUND_VARIABLE_258245 BOUND_VARIABLE_258246))))) (let ((_let_19778 (forall ((BOUND_VARIABLE_258235 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258236 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258237 tptp.int)) (= (@ BOUND_VARIABLE_258235 (@ BOUND_VARIABLE_258236 BOUND_VARIABLE_258237)) (ll_192 BOUND_VARIABLE_258235 BOUND_VARIABLE_258236 BOUND_VARIABLE_258237))))) (let ((_let_19779 (forall ((BOUND_VARIABLE_258226 (-> Bool Bool)) (BOUND_VARIABLE_258227 (-> tptp.nat Bool)) (BOUND_VARIABLE_258228 tptp.nat)) (= (@ BOUND_VARIABLE_258226 (@ BOUND_VARIABLE_258227 BOUND_VARIABLE_258228)) (ll_191 BOUND_VARIABLE_258226 BOUND_VARIABLE_258227 BOUND_VARIABLE_258228))))) (let ((_let_19780 (forall ((BOUND_VARIABLE_258217 (-> Bool Bool)) (BOUND_VARIABLE_258218 (-> tptp.nat Bool)) (BOUND_VARIABLE_258219 tptp.nat)) (= (@ BOUND_VARIABLE_258217 (@ BOUND_VARIABLE_258218 BOUND_VARIABLE_258219)) (ll_190 BOUND_VARIABLE_258217 BOUND_VARIABLE_258218 BOUND_VARIABLE_258219))))) (let ((_let_19781 (forall ((BOUND_VARIABLE_258203 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258204 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258205 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258206 tptp.code_integer) (BOUND_VARIABLE_258207 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ (@ tptp.comp_C3983183376822107068nteger BOUND_VARIABLE_258203) BOUND_VARIABLE_258204) (@ BOUND_VARIABLE_258205 BOUND_VARIABLE_258206)) BOUND_VARIABLE_258207) (ll_189 BOUND_VARIABLE_258203 BOUND_VARIABLE_258204 BOUND_VARIABLE_258205 BOUND_VARIABLE_258206 BOUND_VARIABLE_258207))))) (let ((_let_19782 (forall ((BOUND_VARIABLE_258189 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258190 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258191 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258192 tptp.code_integer) (BOUND_VARIABLE_258193 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_258189 (@ (@ (@ tptp.comp_C2822359487432382964nteger BOUND_VARIABLE_258190) BOUND_VARIABLE_258191) BOUND_VARIABLE_258192)) BOUND_VARIABLE_258193) (ll_188 BOUND_VARIABLE_258189 BOUND_VARIABLE_258190 BOUND_VARIABLE_258191 BOUND_VARIABLE_258192 BOUND_VARIABLE_258193))))) (let ((_let_19783 (forall ((BOUND_VARIABLE_258178 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258179 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258180 tptp.code_integer) (BOUND_VARIABLE_258181 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_258178 (@ BOUND_VARIABLE_258179 BOUND_VARIABLE_258180)) BOUND_VARIABLE_258181) (ll_187 BOUND_VARIABLE_258178 BOUND_VARIABLE_258179 BOUND_VARIABLE_258180 BOUND_VARIABLE_258181))))) (let ((_let_19784 (forall ((BOUND_VARIABLE_258164 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258165 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258166 (-> tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258167 tptp.code_integer) (BOUND_VARIABLE_258168 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_258164 (@ (@ (@ tptp.comp_C2931745410781319416nteger BOUND_VARIABLE_258165) BOUND_VARIABLE_258166) BOUND_VARIABLE_258167)) BOUND_VARIABLE_258168) (ll_186 BOUND_VARIABLE_258164 BOUND_VARIABLE_258165 BOUND_VARIABLE_258166 BOUND_VARIABLE_258167 BOUND_VARIABLE_258168))))) (let ((_let_19785 (forall ((BOUND_VARIABLE_258153 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258154 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258155 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258156 tptp.int)) (= (@ BOUND_VARIABLE_258153 (@ BOUND_VARIABLE_258154 (@ BOUND_VARIABLE_258155 BOUND_VARIABLE_258156))) (ll_185 BOUND_VARIABLE_258153 BOUND_VARIABLE_258154 BOUND_VARIABLE_258155 BOUND_VARIABLE_258156))))) (let ((_let_19786 (forall ((BOUND_VARIABLE_258141 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258142 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258143 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258144 tptp.int)) (= (@ BOUND_VARIABLE_258141 (@ (@ (@ tptp.comp_int_int_int BOUND_VARIABLE_258142) BOUND_VARIABLE_258143) BOUND_VARIABLE_258144)) (ll_184 BOUND_VARIABLE_258141 BOUND_VARIABLE_258142 BOUND_VARIABLE_258143 BOUND_VARIABLE_258144))))) (let ((_let_19787 (forall ((BOUND_VARIABLE_258129 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258130 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258131 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258132 tptp.int)) (= (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_258129) BOUND_VARIABLE_258130) (@ BOUND_VARIABLE_258131 BOUND_VARIABLE_258132)) (ll_183 BOUND_VARIABLE_258129 BOUND_VARIABLE_258130 BOUND_VARIABLE_258131 BOUND_VARIABLE_258132))))) (let ((_let_19788 (forall ((BOUND_VARIABLE_258120 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258121 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258122 tptp.int)) (= (@ BOUND_VARIABLE_258120 (@ BOUND_VARIABLE_258121 BOUND_VARIABLE_258122)) (ll_182 BOUND_VARIABLE_258120 BOUND_VARIABLE_258121 BOUND_VARIABLE_258122))))) (let ((_let_19789 (forall ((BOUND_VARIABLE_258108 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258109 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258110 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258111 tptp.int)) (= (@ (@ (@ tptp.comp_nat_num_nat BOUND_VARIABLE_258108) BOUND_VARIABLE_258109) (@ BOUND_VARIABLE_258110 BOUND_VARIABLE_258111)) (ll_181 BOUND_VARIABLE_258108 BOUND_VARIABLE_258109 BOUND_VARIABLE_258110 BOUND_VARIABLE_258111))))) (let ((_let_19790 (forall ((BOUND_VARIABLE_258096 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258097 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258098 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258099 tptp.int)) (= (@ BOUND_VARIABLE_258096 (@ (@ (@ tptp.comp_nat_nat_int BOUND_VARIABLE_258097) BOUND_VARIABLE_258098) BOUND_VARIABLE_258099)) (ll_180 BOUND_VARIABLE_258096 BOUND_VARIABLE_258097 BOUND_VARIABLE_258098 BOUND_VARIABLE_258099))))) (let ((_let_19791 (forall ((BOUND_VARIABLE_258084 (-> tptp.num tptp.num)) (BOUND_VARIABLE_258085 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258086 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258087 tptp.int)) (= (@ (@ (@ tptp.comp_num_num_nat BOUND_VARIABLE_258084) BOUND_VARIABLE_258085) (@ BOUND_VARIABLE_258086 BOUND_VARIABLE_258087)) (ll_179 BOUND_VARIABLE_258084 BOUND_VARIABLE_258085 BOUND_VARIABLE_258086 BOUND_VARIABLE_258087))))) (let ((_let_19792 (forall ((BOUND_VARIABLE_258075 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258076 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258077 tptp.int)) (= (@ BOUND_VARIABLE_258075 (@ BOUND_VARIABLE_258076 BOUND_VARIABLE_258077)) (ll_178 BOUND_VARIABLE_258075 BOUND_VARIABLE_258076 BOUND_VARIABLE_258077))))) (let ((_let_19793 (forall ((BOUND_VARIABLE_258063 (-> Bool Bool)) (BOUND_VARIABLE_258064 (-> Bool Bool)) (BOUND_VARIABLE_258065 (-> tptp.nat Bool)) (BOUND_VARIABLE_258066 tptp.nat)) (= (@ (@ (@ tptp.comp_o_o_o BOUND_VARIABLE_258063) BOUND_VARIABLE_258064) (@ BOUND_VARIABLE_258065 BOUND_VARIABLE_258066)) (ll_177 BOUND_VARIABLE_258063 BOUND_VARIABLE_258064 BOUND_VARIABLE_258065 BOUND_VARIABLE_258066))))) (let ((_let_19794 (forall ((BOUND_VARIABLE_258052 (-> Bool Bool)) (BOUND_VARIABLE_258053 (-> Bool Bool)) (BOUND_VARIABLE_258054 (-> tptp.nat Bool)) (BOUND_VARIABLE_258055 tptp.nat)) (= (@ BOUND_VARIABLE_258052 (@ BOUND_VARIABLE_258053 (@ BOUND_VARIABLE_258054 BOUND_VARIABLE_258055))) (ll_176 BOUND_VARIABLE_258052 BOUND_VARIABLE_258053 BOUND_VARIABLE_258054 BOUND_VARIABLE_258055))))) (let ((_let_19795 (forall ((BOUND_VARIABLE_258043 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258044 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258045 tptp.int)) (= (@ BOUND_VARIABLE_258043 (@ BOUND_VARIABLE_258044 BOUND_VARIABLE_258045)) (ll_175 BOUND_VARIABLE_258043 BOUND_VARIABLE_258044 BOUND_VARIABLE_258045))))) (let ((_let_19796 (forall ((BOUND_VARIABLE_258032 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_258033 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_258034 (-> tptp.int tptp.int)) (BOUND_VARIABLE_258035 tptp.int)) (= (@ BOUND_VARIABLE_258032 (@ BOUND_VARIABLE_258033 (@ BOUND_VARIABLE_258034 BOUND_VARIABLE_258035))) (ll_174 BOUND_VARIABLE_258032 BOUND_VARIABLE_258033 BOUND_VARIABLE_258034 BOUND_VARIABLE_258035))))) (let ((_let_19797 (forall ((BOUND_VARIABLE_258023 (-> Bool Bool)) (BOUND_VARIABLE_258024 (-> tptp.nat Bool)) (BOUND_VARIABLE_258025 tptp.nat)) (= (@ BOUND_VARIABLE_258023 (@ BOUND_VARIABLE_258024 BOUND_VARIABLE_258025)) (ll_173 BOUND_VARIABLE_258023 BOUND_VARIABLE_258024 BOUND_VARIABLE_258025))))) (let ((_let_19798 (forall ((BOUND_VARIABLE_258011 (-> Bool Bool)) (BOUND_VARIABLE_258012 (-> tptp.nat Bool)) (BOUND_VARIABLE_258013 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_258014 tptp.nat)) (= (@ BOUND_VARIABLE_258011 (@ (@ (@ tptp.comp_nat_o_nat BOUND_VARIABLE_258012) BOUND_VARIABLE_258013) BOUND_VARIABLE_258014)) (ll_172 BOUND_VARIABLE_258011 BOUND_VARIABLE_258012 BOUND_VARIABLE_258013 BOUND_VARIABLE_258014))))) (let ((_let_19799 (forall ((BOUND_VARIABLE_258000 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_258001 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_258002 tptp.code_integer) (BOUND_VARIABLE_258003 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_258000 (@ BOUND_VARIABLE_258001 BOUND_VARIABLE_258002)) BOUND_VARIABLE_258003) (ll_171 BOUND_VARIABLE_258000 BOUND_VARIABLE_258001 BOUND_VARIABLE_258002 BOUND_VARIABLE_258003))))) (let ((_let_19800 (forall ((BOUND_VARIABLE_257989 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_257990 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_257991 tptp.code_integer) (BOUND_VARIABLE_257992 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_257989 (@ BOUND_VARIABLE_257990 BOUND_VARIABLE_257991)) BOUND_VARIABLE_257992) (ll_170 BOUND_VARIABLE_257989 BOUND_VARIABLE_257990 BOUND_VARIABLE_257991 BOUND_VARIABLE_257992))))) (let ((_let_19801 (forall ((BOUND_VARIABLE_257980 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257981 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257982 tptp.int)) (= (@ BOUND_VARIABLE_257980 (@ BOUND_VARIABLE_257981 BOUND_VARIABLE_257982)) (ll_169 BOUND_VARIABLE_257980 BOUND_VARIABLE_257981 BOUND_VARIABLE_257982))))) (let ((_let_19802 (forall ((BOUND_VARIABLE_257971 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257972 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257973 tptp.int)) (= (@ BOUND_VARIABLE_257971 (@ BOUND_VARIABLE_257972 BOUND_VARIABLE_257973)) (ll_168 BOUND_VARIABLE_257971 BOUND_VARIABLE_257972 BOUND_VARIABLE_257973))))) (let ((_let_19803 (forall ((BOUND_VARIABLE_257962 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257963 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257964 tptp.nat)) (= (@ BOUND_VARIABLE_257962 (@ BOUND_VARIABLE_257963 BOUND_VARIABLE_257964)) (ll_167 BOUND_VARIABLE_257962 BOUND_VARIABLE_257963 BOUND_VARIABLE_257964))))) (let ((_let_19804 (forall ((BOUND_VARIABLE_257953 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257954 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257955 tptp.nat)) (= (@ BOUND_VARIABLE_257953 (@ BOUND_VARIABLE_257954 BOUND_VARIABLE_257955)) (ll_166 BOUND_VARIABLE_257953 BOUND_VARIABLE_257954 BOUND_VARIABLE_257955))))) (let ((_let_19805 (forall ((BOUND_VARIABLE_257944 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257945 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257946 tptp.int)) (= (@ BOUND_VARIABLE_257944 (@ BOUND_VARIABLE_257945 BOUND_VARIABLE_257946)) (ll_165 BOUND_VARIABLE_257944 BOUND_VARIABLE_257945 BOUND_VARIABLE_257946))))) (let ((_let_19806 (forall ((BOUND_VARIABLE_257935 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257936 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257937 tptp.int)) (= (@ BOUND_VARIABLE_257935 (@ BOUND_VARIABLE_257936 BOUND_VARIABLE_257937)) (ll_164 BOUND_VARIABLE_257935 BOUND_VARIABLE_257936 BOUND_VARIABLE_257937))))) (let ((_let_19807 (forall ((BOUND_VARIABLE_257926 (-> Bool Bool)) (BOUND_VARIABLE_257927 (-> tptp.nat Bool)) (BOUND_VARIABLE_257928 tptp.nat)) (= (@ BOUND_VARIABLE_257926 (@ BOUND_VARIABLE_257927 BOUND_VARIABLE_257928)) (ll_163 BOUND_VARIABLE_257926 BOUND_VARIABLE_257927 BOUND_VARIABLE_257928))))) (let ((_let_19808 (forall ((BOUND_VARIABLE_257917 (-> Bool Bool)) (BOUND_VARIABLE_257918 (-> tptp.nat Bool)) (BOUND_VARIABLE_257919 tptp.nat)) (= (@ BOUND_VARIABLE_257917 (@ BOUND_VARIABLE_257918 BOUND_VARIABLE_257919)) (ll_162 BOUND_VARIABLE_257917 BOUND_VARIABLE_257918 BOUND_VARIABLE_257919))))) (let ((_let_19809 (forall ((BOUND_VARIABLE_257906 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_257907 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_257908 tptp.code_integer) (BOUND_VARIABLE_257909 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_257906 (@ BOUND_VARIABLE_257907 BOUND_VARIABLE_257908)) BOUND_VARIABLE_257909) (ll_161 BOUND_VARIABLE_257906 BOUND_VARIABLE_257907 BOUND_VARIABLE_257908 BOUND_VARIABLE_257909))))) (let ((_let_19810 (forall ((BOUND_VARIABLE_257895 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_257896 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_257897 tptp.code_integer) (BOUND_VARIABLE_257898 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_257895 (@ BOUND_VARIABLE_257896 BOUND_VARIABLE_257897)) BOUND_VARIABLE_257898) (ll_160 BOUND_VARIABLE_257895 BOUND_VARIABLE_257896 BOUND_VARIABLE_257897 BOUND_VARIABLE_257898))))) (let ((_let_19811 (forall ((BOUND_VARIABLE_257886 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257887 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257888 tptp.int)) (= (@ BOUND_VARIABLE_257886 (@ BOUND_VARIABLE_257887 BOUND_VARIABLE_257888)) (ll_159 BOUND_VARIABLE_257886 BOUND_VARIABLE_257887 BOUND_VARIABLE_257888))))) (let ((_let_19812 (forall ((BOUND_VARIABLE_257877 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257878 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257879 tptp.int)) (= (@ BOUND_VARIABLE_257877 (@ BOUND_VARIABLE_257878 BOUND_VARIABLE_257879)) (ll_158 BOUND_VARIABLE_257877 BOUND_VARIABLE_257878 BOUND_VARIABLE_257879))))) (let ((_let_19813 (forall ((BOUND_VARIABLE_257868 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257869 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257870 tptp.nat)) (= (@ BOUND_VARIABLE_257868 (@ BOUND_VARIABLE_257869 BOUND_VARIABLE_257870)) (ll_157 BOUND_VARIABLE_257868 BOUND_VARIABLE_257869 BOUND_VARIABLE_257870))))) (let ((_let_19814 (forall ((BOUND_VARIABLE_257859 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257860 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257861 tptp.nat)) (= (@ BOUND_VARIABLE_257859 (@ BOUND_VARIABLE_257860 BOUND_VARIABLE_257861)) (ll_156 BOUND_VARIABLE_257859 BOUND_VARIABLE_257860 BOUND_VARIABLE_257861))))) (let ((_let_19815 (forall ((BOUND_VARIABLE_257850 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257851 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257852 tptp.int)) (= (@ BOUND_VARIABLE_257850 (@ BOUND_VARIABLE_257851 BOUND_VARIABLE_257852)) (ll_155 BOUND_VARIABLE_257850 BOUND_VARIABLE_257851 BOUND_VARIABLE_257852))))) (let ((_let_19816 (forall ((BOUND_VARIABLE_257841 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257842 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257843 tptp.int)) (= (@ BOUND_VARIABLE_257841 (@ BOUND_VARIABLE_257842 BOUND_VARIABLE_257843)) (ll_154 BOUND_VARIABLE_257841 BOUND_VARIABLE_257842 BOUND_VARIABLE_257843))))) (let ((_let_19817 (forall ((BOUND_VARIABLE_257832 (-> Bool Bool)) (BOUND_VARIABLE_257833 (-> tptp.nat Bool)) (BOUND_VARIABLE_257834 tptp.nat)) (= (@ BOUND_VARIABLE_257832 (@ BOUND_VARIABLE_257833 BOUND_VARIABLE_257834)) (ll_153 BOUND_VARIABLE_257832 BOUND_VARIABLE_257833 BOUND_VARIABLE_257834))))) (let ((_let_19818 (forall ((BOUND_VARIABLE_257823 (-> Bool Bool)) (BOUND_VARIABLE_257824 (-> tptp.nat Bool)) (BOUND_VARIABLE_257825 tptp.nat)) (= (@ BOUND_VARIABLE_257823 (@ BOUND_VARIABLE_257824 BOUND_VARIABLE_257825)) (ll_152 BOUND_VARIABLE_257823 BOUND_VARIABLE_257824 BOUND_VARIABLE_257825))))) (let ((_let_19819 (forall ((BOUND_VARIABLE_257812 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_257813 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_257814 tptp.code_integer) (BOUND_VARIABLE_257815 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_257812 (@ BOUND_VARIABLE_257813 BOUND_VARIABLE_257814)) BOUND_VARIABLE_257815) (ll_151 BOUND_VARIABLE_257812 BOUND_VARIABLE_257813 BOUND_VARIABLE_257814 BOUND_VARIABLE_257815))))) (let ((_let_19820 (forall ((BOUND_VARIABLE_257799 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257800 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257801 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_257799 (@ tptp.product_fst_int_int BOUND_VARIABLE_257801))) (@ BOUND_VARIABLE_257800 (@ tptp.product_snd_int_int BOUND_VARIABLE_257801))) (ll_150 BOUND_VARIABLE_257799 BOUND_VARIABLE_257800 BOUND_VARIABLE_257801))))) (let ((_let_19821 (forall ((BOUND_VARIABLE_257786 tptp.set_int) (BOUND_VARIABLE_257787 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257788 tptp.product_prod_int_int)) (= (@ (@ (@ (@ tptp.bNF_Grp_int_int BOUND_VARIABLE_257786) BOUND_VARIABLE_257787) (@ tptp.product_fst_int_int BOUND_VARIABLE_257788)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257788)) (ll_149 BOUND_VARIABLE_257786 BOUND_VARIABLE_257787 BOUND_VARIABLE_257788))))) (let ((_let_19822 (forall ((BOUND_VARIABLE_257777 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257778 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257779 tptp.nat)) (= (@ BOUND_VARIABLE_257777 (@ BOUND_VARIABLE_257778 BOUND_VARIABLE_257779)) (ll_148 BOUND_VARIABLE_257777 BOUND_VARIABLE_257778 BOUND_VARIABLE_257779))))) (let ((_let_19823 (forall ((BOUND_VARIABLE_257768 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257769 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257770 tptp.int)) (= (@ BOUND_VARIABLE_257768 (@ BOUND_VARIABLE_257769 BOUND_VARIABLE_257770)) (ll_147 BOUND_VARIABLE_257768 BOUND_VARIABLE_257769 BOUND_VARIABLE_257770))))) (let ((_let_19824 (forall ((BOUND_VARIABLE_257759 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257760 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257761 tptp.nat)) (= (@ BOUND_VARIABLE_257759 (@ BOUND_VARIABLE_257760 BOUND_VARIABLE_257761)) (ll_146 BOUND_VARIABLE_257759 BOUND_VARIABLE_257760 BOUND_VARIABLE_257761))))) (let ((_let_19825 (forall ((BOUND_VARIABLE_257750 (-> Bool Bool)) (BOUND_VARIABLE_257751 (-> tptp.nat Bool)) (BOUND_VARIABLE_257752 tptp.nat)) (= (@ BOUND_VARIABLE_257750 (@ BOUND_VARIABLE_257751 BOUND_VARIABLE_257752)) (ll_145 BOUND_VARIABLE_257750 BOUND_VARIABLE_257751 BOUND_VARIABLE_257752))))) (let ((_let_19826 (forall ((BOUND_VARIABLE_257741 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257742 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257743 tptp.int)) (= (@ BOUND_VARIABLE_257741 (@ BOUND_VARIABLE_257742 BOUND_VARIABLE_257743)) (ll_144 BOUND_VARIABLE_257741 BOUND_VARIABLE_257742 BOUND_VARIABLE_257743))))) (let ((_let_19827 (forall ((BOUND_VARIABLE_257732 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257733 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257734 tptp.int)) (= (@ BOUND_VARIABLE_257732 (@ BOUND_VARIABLE_257733 BOUND_VARIABLE_257734)) (ll_143 BOUND_VARIABLE_257732 BOUND_VARIABLE_257733 BOUND_VARIABLE_257734))))) (let ((_let_19828 (forall ((BOUND_VARIABLE_257723 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257724 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257725 tptp.int)) (= (@ BOUND_VARIABLE_257723 (@ BOUND_VARIABLE_257724 BOUND_VARIABLE_257725)) (ll_142 BOUND_VARIABLE_257723 BOUND_VARIABLE_257724 BOUND_VARIABLE_257725))))) (let ((_let_19829 (forall ((BOUND_VARIABLE_257714 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257715 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257716 tptp.nat)) (= (@ BOUND_VARIABLE_257714 (@ BOUND_VARIABLE_257715 BOUND_VARIABLE_257716)) (ll_141 BOUND_VARIABLE_257714 BOUND_VARIABLE_257715 BOUND_VARIABLE_257716))))) (let ((_let_19830 (forall ((BOUND_VARIABLE_257705 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257706 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257707 tptp.int)) (= (@ BOUND_VARIABLE_257705 (@ BOUND_VARIABLE_257706 BOUND_VARIABLE_257707)) (ll_140 BOUND_VARIABLE_257705 BOUND_VARIABLE_257706 BOUND_VARIABLE_257707))))) (let ((_let_19831 (forall ((BOUND_VARIABLE_257696 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257697 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257698 tptp.int)) (= (@ BOUND_VARIABLE_257696 (@ BOUND_VARIABLE_257697 BOUND_VARIABLE_257698)) (ll_139 BOUND_VARIABLE_257696 BOUND_VARIABLE_257697 BOUND_VARIABLE_257698))))) (let ((_let_19832 (forall ((BOUND_VARIABLE_257687 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257688 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257689 tptp.int)) (= (@ BOUND_VARIABLE_257687 (@ BOUND_VARIABLE_257688 BOUND_VARIABLE_257689)) (ll_138 BOUND_VARIABLE_257687 BOUND_VARIABLE_257688 BOUND_VARIABLE_257689))))) (let ((_let_19833 (forall ((BOUND_VARIABLE_257678 (-> Bool Bool)) (BOUND_VARIABLE_257679 (-> tptp.nat Bool)) (BOUND_VARIABLE_257680 tptp.nat)) (= (@ BOUND_VARIABLE_257678 (@ BOUND_VARIABLE_257679 BOUND_VARIABLE_257680)) (ll_137 BOUND_VARIABLE_257678 BOUND_VARIABLE_257679 BOUND_VARIABLE_257680))))) (let ((_let_19834 (forall ((BOUND_VARIABLE_257669 (-> Bool Bool)) (BOUND_VARIABLE_257670 (-> tptp.nat Bool)) (BOUND_VARIABLE_257671 tptp.nat)) (= (@ BOUND_VARIABLE_257669 (@ BOUND_VARIABLE_257670 BOUND_VARIABLE_257671)) (ll_136 BOUND_VARIABLE_257669 BOUND_VARIABLE_257670 BOUND_VARIABLE_257671))))) (let ((_let_19835 (forall ((BOUND_VARIABLE_257660 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257661 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257662 tptp.int)) (= (@ BOUND_VARIABLE_257660 (@ BOUND_VARIABLE_257661 BOUND_VARIABLE_257662)) (ll_135 BOUND_VARIABLE_257660 BOUND_VARIABLE_257661 BOUND_VARIABLE_257662))))) (let ((_let_19836 (forall ((BOUND_VARIABLE_257651 (-> Bool Bool)) (BOUND_VARIABLE_257652 (-> tptp.nat Bool)) (BOUND_VARIABLE_257653 tptp.nat)) (= (@ BOUND_VARIABLE_257651 (@ BOUND_VARIABLE_257652 BOUND_VARIABLE_257653)) (ll_134 BOUND_VARIABLE_257651 BOUND_VARIABLE_257652 BOUND_VARIABLE_257653))))) (let ((_let_19837 (forall ((BOUND_VARIABLE_257642 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257643 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257644 tptp.nat)) (= (@ BOUND_VARIABLE_257642 (@ BOUND_VARIABLE_257643 BOUND_VARIABLE_257644)) (ll_133 BOUND_VARIABLE_257642 BOUND_VARIABLE_257643 BOUND_VARIABLE_257644))))) (let ((_let_19838 (forall ((BOUND_VARIABLE_257633 (-> Bool Bool)) (BOUND_VARIABLE_257634 (-> tptp.nat Bool)) (BOUND_VARIABLE_257635 tptp.nat)) (= (@ BOUND_VARIABLE_257633 (@ BOUND_VARIABLE_257634 BOUND_VARIABLE_257635)) (ll_132 BOUND_VARIABLE_257633 BOUND_VARIABLE_257634 BOUND_VARIABLE_257635))))) (let ((_let_19839 (forall ((BOUND_VARIABLE_257624 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257625 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257626 tptp.int)) (= (@ BOUND_VARIABLE_257624 (@ BOUND_VARIABLE_257625 BOUND_VARIABLE_257626)) (ll_131 BOUND_VARIABLE_257624 BOUND_VARIABLE_257625 BOUND_VARIABLE_257626))))) (let ((_let_19840 (forall ((BOUND_VARIABLE_257615 (-> Bool Bool)) (BOUND_VARIABLE_257616 (-> tptp.nat Bool)) (BOUND_VARIABLE_257617 tptp.nat)) (= (@ BOUND_VARIABLE_257615 (@ BOUND_VARIABLE_257616 BOUND_VARIABLE_257617)) (ll_130 BOUND_VARIABLE_257615 BOUND_VARIABLE_257616 BOUND_VARIABLE_257617))))) (let ((_let_19841 (forall ((BOUND_VARIABLE_257606 (-> Bool Bool)) (BOUND_VARIABLE_257607 (-> tptp.nat Bool)) (BOUND_VARIABLE_257608 tptp.nat)) (= (@ BOUND_VARIABLE_257606 (@ BOUND_VARIABLE_257607 BOUND_VARIABLE_257608)) (ll_129 BOUND_VARIABLE_257606 BOUND_VARIABLE_257607 BOUND_VARIABLE_257608))))) (let ((_let_19842 (forall ((BOUND_VARIABLE_257597 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257598 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257599 tptp.nat)) (= (@ BOUND_VARIABLE_257597 (@ BOUND_VARIABLE_257598 BOUND_VARIABLE_257599)) (ll_128 BOUND_VARIABLE_257597 BOUND_VARIABLE_257598 BOUND_VARIABLE_257599))))) (let ((_let_19843 (forall ((BOUND_VARIABLE_257588 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257589 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257590 tptp.int)) (= (@ BOUND_VARIABLE_257588 (@ BOUND_VARIABLE_257589 BOUND_VARIABLE_257590)) (ll_127 BOUND_VARIABLE_257588 BOUND_VARIABLE_257589 BOUND_VARIABLE_257590))))) (let ((_let_19844 (forall ((BOUND_VARIABLE_257579 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257580 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257581 tptp.nat)) (= (@ BOUND_VARIABLE_257579 (@ BOUND_VARIABLE_257580 BOUND_VARIABLE_257581)) (ll_126 BOUND_VARIABLE_257579 BOUND_VARIABLE_257580 BOUND_VARIABLE_257581))))) (let ((_let_19845 (forall ((BOUND_VARIABLE_257570 (-> Bool Bool)) (BOUND_VARIABLE_257571 (-> tptp.nat Bool)) (BOUND_VARIABLE_257572 tptp.nat)) (= (@ BOUND_VARIABLE_257570 (@ BOUND_VARIABLE_257571 BOUND_VARIABLE_257572)) (ll_125 BOUND_VARIABLE_257570 BOUND_VARIABLE_257571 BOUND_VARIABLE_257572))))) (let ((_let_19846 (forall ((BOUND_VARIABLE_257561 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257562 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257563 tptp.int)) (= (@ BOUND_VARIABLE_257561 (@ BOUND_VARIABLE_257562 BOUND_VARIABLE_257563)) (ll_124 BOUND_VARIABLE_257561 BOUND_VARIABLE_257562 BOUND_VARIABLE_257563))))) (let ((_let_19847 (forall ((BOUND_VARIABLE_257552 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257553 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257554 tptp.int)) (= (@ BOUND_VARIABLE_257552 (@ BOUND_VARIABLE_257553 BOUND_VARIABLE_257554)) (ll_123 BOUND_VARIABLE_257552 BOUND_VARIABLE_257553 BOUND_VARIABLE_257554))))) (let ((_let_19848 (forall ((BOUND_VARIABLE_257543 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257544 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257545 tptp.int)) (= (@ BOUND_VARIABLE_257543 (@ BOUND_VARIABLE_257544 BOUND_VARIABLE_257545)) (ll_122 BOUND_VARIABLE_257543 BOUND_VARIABLE_257544 BOUND_VARIABLE_257545))))) (let ((_let_19849 (forall ((BOUND_VARIABLE_257534 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257535 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257536 tptp.nat)) (= (@ BOUND_VARIABLE_257534 (@ BOUND_VARIABLE_257535 BOUND_VARIABLE_257536)) (ll_121 BOUND_VARIABLE_257534 BOUND_VARIABLE_257535 BOUND_VARIABLE_257536))))) (let ((_let_19850 (forall ((BOUND_VARIABLE_257525 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257526 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257527 tptp.int)) (= (@ BOUND_VARIABLE_257525 (@ BOUND_VARIABLE_257526 BOUND_VARIABLE_257527)) (ll_120 BOUND_VARIABLE_257525 BOUND_VARIABLE_257526 BOUND_VARIABLE_257527))))) (let ((_let_19851 (forall ((BOUND_VARIABLE_257516 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257517 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257518 tptp.int)) (= (@ BOUND_VARIABLE_257516 (@ BOUND_VARIABLE_257517 BOUND_VARIABLE_257518)) (ll_119 BOUND_VARIABLE_257516 BOUND_VARIABLE_257517 BOUND_VARIABLE_257518))))) (let ((_let_19852 (forall ((BOUND_VARIABLE_257507 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257508 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257509 tptp.int)) (= (@ BOUND_VARIABLE_257507 (@ BOUND_VARIABLE_257508 BOUND_VARIABLE_257509)) (ll_118 BOUND_VARIABLE_257507 BOUND_VARIABLE_257508 BOUND_VARIABLE_257509))))) (let ((_let_19853 (forall ((BOUND_VARIABLE_257498 (-> Bool Bool)) (BOUND_VARIABLE_257499 (-> tptp.nat Bool)) (BOUND_VARIABLE_257500 tptp.nat)) (= (@ BOUND_VARIABLE_257498 (@ BOUND_VARIABLE_257499 BOUND_VARIABLE_257500)) (ll_117 BOUND_VARIABLE_257498 BOUND_VARIABLE_257499 BOUND_VARIABLE_257500))))) (let ((_let_19854 (forall ((BOUND_VARIABLE_257489 (-> Bool Bool)) (BOUND_VARIABLE_257490 (-> tptp.nat Bool)) (BOUND_VARIABLE_257491 tptp.nat)) (= (@ BOUND_VARIABLE_257489 (@ BOUND_VARIABLE_257490 BOUND_VARIABLE_257491)) (ll_116 BOUND_VARIABLE_257489 BOUND_VARIABLE_257490 BOUND_VARIABLE_257491))))) (let ((_let_19855 (forall ((BOUND_VARIABLE_257480 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257481 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257482 tptp.int)) (= (@ BOUND_VARIABLE_257480 (@ BOUND_VARIABLE_257481 BOUND_VARIABLE_257482)) (ll_115 BOUND_VARIABLE_257480 BOUND_VARIABLE_257481 BOUND_VARIABLE_257482))))) (let ((_let_19856 (forall ((BOUND_VARIABLE_257471 (-> Bool Bool)) (BOUND_VARIABLE_257472 (-> tptp.nat Bool)) (BOUND_VARIABLE_257473 tptp.nat)) (= (@ BOUND_VARIABLE_257471 (@ BOUND_VARIABLE_257472 BOUND_VARIABLE_257473)) (ll_114 BOUND_VARIABLE_257471 BOUND_VARIABLE_257472 BOUND_VARIABLE_257473))))) (let ((_let_19857 (forall ((BOUND_VARIABLE_257462 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257463 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257464 tptp.nat)) (= (@ BOUND_VARIABLE_257462 (@ BOUND_VARIABLE_257463 BOUND_VARIABLE_257464)) (ll_113 BOUND_VARIABLE_257462 BOUND_VARIABLE_257463 BOUND_VARIABLE_257464))))) (let ((_let_19858 (forall ((BOUND_VARIABLE_257453 (-> Bool Bool)) (BOUND_VARIABLE_257454 (-> tptp.nat Bool)) (BOUND_VARIABLE_257455 tptp.nat)) (= (@ BOUND_VARIABLE_257453 (@ BOUND_VARIABLE_257454 BOUND_VARIABLE_257455)) (ll_112 BOUND_VARIABLE_257453 BOUND_VARIABLE_257454 BOUND_VARIABLE_257455))))) (let ((_let_19859 (forall ((BOUND_VARIABLE_257444 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257445 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257446 tptp.int)) (= (@ BOUND_VARIABLE_257444 (@ BOUND_VARIABLE_257445 BOUND_VARIABLE_257446)) (ll_111 BOUND_VARIABLE_257444 BOUND_VARIABLE_257445 BOUND_VARIABLE_257446))))) (let ((_let_19860 (forall ((BOUND_VARIABLE_257435 (-> Bool Bool)) (BOUND_VARIABLE_257436 (-> tptp.nat Bool)) (BOUND_VARIABLE_257437 tptp.nat)) (= (@ BOUND_VARIABLE_257435 (@ BOUND_VARIABLE_257436 BOUND_VARIABLE_257437)) (ll_110 BOUND_VARIABLE_257435 BOUND_VARIABLE_257436 BOUND_VARIABLE_257437))))) (let ((_let_19861 (forall ((BOUND_VARIABLE_257426 (-> Bool Bool)) (BOUND_VARIABLE_257427 (-> tptp.nat Bool)) (BOUND_VARIABLE_257428 tptp.nat)) (= (@ BOUND_VARIABLE_257426 (@ BOUND_VARIABLE_257427 BOUND_VARIABLE_257428)) (ll_109 BOUND_VARIABLE_257426 BOUND_VARIABLE_257427 BOUND_VARIABLE_257428))))) (let ((_let_19862 (forall ((BOUND_VARIABLE_257417 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257418 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257419 tptp.nat)) (= (@ BOUND_VARIABLE_257417 (@ BOUND_VARIABLE_257418 BOUND_VARIABLE_257419)) (ll_108 BOUND_VARIABLE_257417 BOUND_VARIABLE_257418 BOUND_VARIABLE_257419))))) (let ((_let_19863 (forall ((BOUND_VARIABLE_257408 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257409 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257410 tptp.int)) (= (@ BOUND_VARIABLE_257408 (@ BOUND_VARIABLE_257409 BOUND_VARIABLE_257410)) (ll_107 BOUND_VARIABLE_257408 BOUND_VARIABLE_257409 BOUND_VARIABLE_257410))))) (let ((_let_19864 (forall ((BOUND_VARIABLE_257399 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257400 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257401 tptp.nat)) (= (@ BOUND_VARIABLE_257399 (@ BOUND_VARIABLE_257400 BOUND_VARIABLE_257401)) (ll_106 BOUND_VARIABLE_257399 BOUND_VARIABLE_257400 BOUND_VARIABLE_257401))))) (let ((_let_19865 (forall ((BOUND_VARIABLE_257390 (-> Bool Bool)) (BOUND_VARIABLE_257391 (-> tptp.nat Bool)) (BOUND_VARIABLE_257392 tptp.nat)) (= (@ BOUND_VARIABLE_257390 (@ BOUND_VARIABLE_257391 BOUND_VARIABLE_257392)) (ll_105 BOUND_VARIABLE_257390 BOUND_VARIABLE_257391 BOUND_VARIABLE_257392))))) (let ((_let_19866 (forall ((BOUND_VARIABLE_257381 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257382 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257383 tptp.int)) (= (@ BOUND_VARIABLE_257381 (@ BOUND_VARIABLE_257382 BOUND_VARIABLE_257383)) (ll_104 BOUND_VARIABLE_257381 BOUND_VARIABLE_257382 BOUND_VARIABLE_257383))))) (let ((_let_19867 (forall ((BOUND_VARIABLE_257372 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257373 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257374 tptp.int)) (= (@ BOUND_VARIABLE_257372 (@ BOUND_VARIABLE_257373 BOUND_VARIABLE_257374)) (ll_103 BOUND_VARIABLE_257372 BOUND_VARIABLE_257373 BOUND_VARIABLE_257374))))) (let ((_let_19868 (forall ((BOUND_VARIABLE_257363 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257364 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257365 tptp.int)) (= (@ BOUND_VARIABLE_257363 (@ BOUND_VARIABLE_257364 BOUND_VARIABLE_257365)) (ll_102 BOUND_VARIABLE_257363 BOUND_VARIABLE_257364 BOUND_VARIABLE_257365))))) (let ((_let_19869 (forall ((BOUND_VARIABLE_257354 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257355 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257356 tptp.nat)) (= (@ BOUND_VARIABLE_257354 (@ BOUND_VARIABLE_257355 BOUND_VARIABLE_257356)) (ll_101 BOUND_VARIABLE_257354 BOUND_VARIABLE_257355 BOUND_VARIABLE_257356))))) (let ((_let_19870 (forall ((BOUND_VARIABLE_257345 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257346 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257347 tptp.int)) (= (@ BOUND_VARIABLE_257345 (@ BOUND_VARIABLE_257346 BOUND_VARIABLE_257347)) (ll_100 BOUND_VARIABLE_257345 BOUND_VARIABLE_257346 BOUND_VARIABLE_257347))))) (let ((_let_19871 (forall ((BOUND_VARIABLE_257336 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257337 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257338 tptp.int)) (= (@ BOUND_VARIABLE_257336 (@ BOUND_VARIABLE_257337 BOUND_VARIABLE_257338)) (ll_99 BOUND_VARIABLE_257336 BOUND_VARIABLE_257337 BOUND_VARIABLE_257338))))) (let ((_let_19872 (forall ((BOUND_VARIABLE_257327 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257328 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257329 tptp.int)) (= (@ BOUND_VARIABLE_257327 (@ BOUND_VARIABLE_257328 BOUND_VARIABLE_257329)) (ll_98 BOUND_VARIABLE_257327 BOUND_VARIABLE_257328 BOUND_VARIABLE_257329))))) (let ((_let_19873 (forall ((BOUND_VARIABLE_257318 (-> Bool Bool)) (BOUND_VARIABLE_257319 (-> tptp.nat Bool)) (BOUND_VARIABLE_257320 tptp.nat)) (= (@ BOUND_VARIABLE_257318 (@ BOUND_VARIABLE_257319 BOUND_VARIABLE_257320)) (ll_97 BOUND_VARIABLE_257318 BOUND_VARIABLE_257319 BOUND_VARIABLE_257320))))) (let ((_let_19874 (forall ((BOUND_VARIABLE_257309 (-> Bool Bool)) (BOUND_VARIABLE_257310 (-> tptp.nat Bool)) (BOUND_VARIABLE_257311 tptp.nat)) (= (@ BOUND_VARIABLE_257309 (@ BOUND_VARIABLE_257310 BOUND_VARIABLE_257311)) (ll_96 BOUND_VARIABLE_257309 BOUND_VARIABLE_257310 BOUND_VARIABLE_257311))))) (let ((_let_19875 (forall ((BOUND_VARIABLE_257300 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257301 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257302 tptp.int)) (= (@ BOUND_VARIABLE_257300 (@ BOUND_VARIABLE_257301 BOUND_VARIABLE_257302)) (ll_95 BOUND_VARIABLE_257300 BOUND_VARIABLE_257301 BOUND_VARIABLE_257302))))) (let ((_let_19876 (forall ((BOUND_VARIABLE_257291 (-> Bool Bool)) (BOUND_VARIABLE_257292 (-> tptp.nat Bool)) (BOUND_VARIABLE_257293 tptp.nat)) (= (@ BOUND_VARIABLE_257291 (@ BOUND_VARIABLE_257292 BOUND_VARIABLE_257293)) (ll_94 BOUND_VARIABLE_257291 BOUND_VARIABLE_257292 BOUND_VARIABLE_257293))))) (let ((_let_19877 (forall ((BOUND_VARIABLE_257282 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257283 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257284 tptp.nat)) (= (@ BOUND_VARIABLE_257282 (@ BOUND_VARIABLE_257283 BOUND_VARIABLE_257284)) (ll_93 BOUND_VARIABLE_257282 BOUND_VARIABLE_257283 BOUND_VARIABLE_257284))))) (let ((_let_19878 (forall ((BOUND_VARIABLE_257273 (-> Bool Bool)) (BOUND_VARIABLE_257274 (-> tptp.nat Bool)) (BOUND_VARIABLE_257275 tptp.nat)) (= (@ BOUND_VARIABLE_257273 (@ BOUND_VARIABLE_257274 BOUND_VARIABLE_257275)) (ll_92 BOUND_VARIABLE_257273 BOUND_VARIABLE_257274 BOUND_VARIABLE_257275))))) (let ((_let_19879 (forall ((BOUND_VARIABLE_257264 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257265 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257266 tptp.int)) (= (@ BOUND_VARIABLE_257264 (@ BOUND_VARIABLE_257265 BOUND_VARIABLE_257266)) (ll_91 BOUND_VARIABLE_257264 BOUND_VARIABLE_257265 BOUND_VARIABLE_257266))))) (let ((_let_19880 (forall ((BOUND_VARIABLE_257255 (-> Bool Bool)) (BOUND_VARIABLE_257256 (-> tptp.nat Bool)) (BOUND_VARIABLE_257257 tptp.nat)) (= (@ BOUND_VARIABLE_257255 (@ BOUND_VARIABLE_257256 BOUND_VARIABLE_257257)) (ll_90 BOUND_VARIABLE_257255 BOUND_VARIABLE_257256 BOUND_VARIABLE_257257))))) (let ((_let_19881 (forall ((BOUND_VARIABLE_257246 (-> Bool Bool)) (BOUND_VARIABLE_257247 (-> tptp.nat Bool)) (BOUND_VARIABLE_257248 tptp.nat)) (= (@ BOUND_VARIABLE_257246 (@ BOUND_VARIABLE_257247 BOUND_VARIABLE_257248)) (ll_89 BOUND_VARIABLE_257246 BOUND_VARIABLE_257247 BOUND_VARIABLE_257248))))) (let ((_let_19882 (forall ((BOUND_VARIABLE_257233 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257234 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257235 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ BOUND_VARIABLE_257233 (@ tptp.product_fst_int_int BOUND_VARIABLE_257235))) (@ BOUND_VARIABLE_257234 (@ tptp.product_snd_int_int BOUND_VARIABLE_257235))) (ll_88 BOUND_VARIABLE_257233 BOUND_VARIABLE_257234 BOUND_VARIABLE_257235))))) (let ((_let_19883 (forall ((BOUND_VARIABLE_257223 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257224 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_257223 (@ tptp.product_fst_int_int BOUND_VARIABLE_257224)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257224)) (ll_87 BOUND_VARIABLE_257223 BOUND_VARIABLE_257224))))) (let ((_let_19884 (forall ((BOUND_VARIABLE_257213 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257214 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_257213 (@ tptp.product_fst_int_int BOUND_VARIABLE_257214)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257214)) (ll_86 BOUND_VARIABLE_257213 BOUND_VARIABLE_257214))))) (let ((_let_19885 (forall ((BOUND_VARIABLE_257200 tptp.set_int) (BOUND_VARIABLE_257201 (-> tptp.int tptp.int)) (BOUND_VARIABLE_257202 tptp.product_prod_int_int)) (= (@ (@ (@ (@ tptp.bNF_Grp_int_int BOUND_VARIABLE_257200) BOUND_VARIABLE_257201) (@ tptp.product_fst_int_int BOUND_VARIABLE_257202)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257202)) (ll_85 BOUND_VARIABLE_257200 BOUND_VARIABLE_257201 BOUND_VARIABLE_257202))))) (let ((_let_19886 (forall ((BOUND_VARIABLE_257191 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257192 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257193 tptp.nat)) (= (@ BOUND_VARIABLE_257191 (@ BOUND_VARIABLE_257192 BOUND_VARIABLE_257193)) (ll_84 BOUND_VARIABLE_257191 BOUND_VARIABLE_257192 BOUND_VARIABLE_257193))))) (let ((_let_19887 (forall ((BOUND_VARIABLE_257182 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257183 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257184 tptp.nat)) (= (@ BOUND_VARIABLE_257182 (@ BOUND_VARIABLE_257183 BOUND_VARIABLE_257184)) (ll_83 BOUND_VARIABLE_257182 BOUND_VARIABLE_257183 BOUND_VARIABLE_257184))))) (let ((_let_19888 (forall ((BOUND_VARIABLE_257173 (-> Bool Bool)) (BOUND_VARIABLE_257174 (-> tptp.nat Bool)) (BOUND_VARIABLE_257175 tptp.nat)) (= (@ BOUND_VARIABLE_257173 (@ BOUND_VARIABLE_257174 BOUND_VARIABLE_257175)) (ll_82 BOUND_VARIABLE_257173 BOUND_VARIABLE_257174 BOUND_VARIABLE_257175))))) (let ((_let_19889 (forall ((BOUND_VARIABLE_257164 (-> Bool Bool)) (BOUND_VARIABLE_257165 (-> tptp.nat Bool)) (BOUND_VARIABLE_257166 tptp.nat)) (= (@ BOUND_VARIABLE_257164 (@ BOUND_VARIABLE_257165 BOUND_VARIABLE_257166)) (ll_81 BOUND_VARIABLE_257164 BOUND_VARIABLE_257165 BOUND_VARIABLE_257166))))) (let ((_let_19890 (forall ((BOUND_VARIABLE_257155 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257156 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257157 tptp.nat)) (= (@ BOUND_VARIABLE_257155 (@ BOUND_VARIABLE_257156 BOUND_VARIABLE_257157)) (ll_80 BOUND_VARIABLE_257155 BOUND_VARIABLE_257156 BOUND_VARIABLE_257157))))) (let ((_let_19891 (forall ((BOUND_VARIABLE_257146 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257147 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257148 tptp.int)) (= (@ BOUND_VARIABLE_257146 (@ BOUND_VARIABLE_257147 BOUND_VARIABLE_257148)) (ll_79 BOUND_VARIABLE_257146 BOUND_VARIABLE_257147 BOUND_VARIABLE_257148))))) (let ((_let_19892 (forall ((BOUND_VARIABLE_257137 (-> Bool Bool)) (BOUND_VARIABLE_257138 (-> tptp.nat Bool)) (BOUND_VARIABLE_257139 tptp.nat)) (= (@ BOUND_VARIABLE_257137 (@ BOUND_VARIABLE_257138 BOUND_VARIABLE_257139)) (ll_78 BOUND_VARIABLE_257137 BOUND_VARIABLE_257138 BOUND_VARIABLE_257139))))) (let ((_let_19893 (forall ((BOUND_VARIABLE_257128 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257129 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257130 tptp.nat)) (= (@ BOUND_VARIABLE_257128 (@ BOUND_VARIABLE_257129 BOUND_VARIABLE_257130)) (ll_77 BOUND_VARIABLE_257128 BOUND_VARIABLE_257129 BOUND_VARIABLE_257130))))) (let ((_let_19894 (forall ((BOUND_VARIABLE_257119 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257120 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257121 tptp.int)) (= (@ BOUND_VARIABLE_257119 (@ BOUND_VARIABLE_257120 BOUND_VARIABLE_257121)) (ll_76 BOUND_VARIABLE_257119 BOUND_VARIABLE_257120 BOUND_VARIABLE_257121))))) (let ((_let_19895 (forall ((BOUND_VARIABLE_257110 (-> Bool Bool)) (BOUND_VARIABLE_257111 (-> tptp.nat Bool)) (BOUND_VARIABLE_257112 tptp.nat)) (= (@ BOUND_VARIABLE_257110 (@ BOUND_VARIABLE_257111 BOUND_VARIABLE_257112)) (ll_75 BOUND_VARIABLE_257110 BOUND_VARIABLE_257111 BOUND_VARIABLE_257112))))) (let ((_let_19896 (forall ((BOUND_VARIABLE_257101 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257102 (-> tptp.nat tptp.nat)) (BOUND_VARIABLE_257103 tptp.nat)) (= (@ BOUND_VARIABLE_257101 (@ BOUND_VARIABLE_257102 BOUND_VARIABLE_257103)) (ll_74 BOUND_VARIABLE_257101 BOUND_VARIABLE_257102 BOUND_VARIABLE_257103))))) (let ((_let_19897 (forall ((BOUND_VARIABLE_257092 (-> tptp.nat tptp.num)) (BOUND_VARIABLE_257093 (-> tptp.int tptp.nat)) (BOUND_VARIABLE_257094 tptp.int)) (= (@ BOUND_VARIABLE_257092 (@ BOUND_VARIABLE_257093 BOUND_VARIABLE_257094)) (ll_73 BOUND_VARIABLE_257092 BOUND_VARIABLE_257093 BOUND_VARIABLE_257094))))) (let ((_let_19898 (forall ((BOUND_VARIABLE_257083 (-> Bool Bool)) (BOUND_VARIABLE_257084 (-> tptp.nat Bool)) (BOUND_VARIABLE_257085 tptp.nat)) (= (@ BOUND_VARIABLE_257083 (@ BOUND_VARIABLE_257084 BOUND_VARIABLE_257085)) (ll_72 BOUND_VARIABLE_257083 BOUND_VARIABLE_257084 BOUND_VARIABLE_257085))))) (let ((_let_19899 (forall ((BOUND_VARIABLE_257070 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257071 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257072 tptp.product_prod_int_int)) (= (@ (@ (@ (@ tptp.relcompp_int_int_int BOUND_VARIABLE_257070) BOUND_VARIABLE_257071) (@ tptp.product_fst_int_int BOUND_VARIABLE_257072)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257072)) (ll_71 BOUND_VARIABLE_257070 BOUND_VARIABLE_257071 BOUND_VARIABLE_257072))))) (let ((_let_19900 (forall ((BOUND_VARIABLE_257060 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257061 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_257060 (@ tptp.product_fst_int_int BOUND_VARIABLE_257061)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257061)) (ll_70 BOUND_VARIABLE_257060 BOUND_VARIABLE_257061))))) (let ((_let_19901 (forall ((BOUND_VARIABLE_257043 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257044 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_257045 tptp.int) (BOUND_VARIABLE_257046 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_257043 BOUND_VARIABLE_257045) B4)) (not (@ (@ BOUND_VARIABLE_257044 B4) BOUND_VARIABLE_257046))))) (ll_69 BOUND_VARIABLE_257043 BOUND_VARIABLE_257044 BOUND_VARIABLE_257045 BOUND_VARIABLE_257046))))) (let ((_let_19902 (forall ((BOUND_VARIABLE_257033 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257034 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_257033 (@ tptp.product_fst_int_int BOUND_VARIABLE_257034)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257034)) (ll_68 BOUND_VARIABLE_257033 BOUND_VARIABLE_257034))))) (let ((_let_19903 (forall ((BOUND_VARIABLE_257016 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_257017 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_257018 tptp.product_prod_nat_nat) (BOUND_VARIABLE_257019 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_257016 BOUND_VARIABLE_257018) B4)) (not (@ (@ BOUND_VARIABLE_257017 B4) BOUND_VARIABLE_257019))))) (ll_67 BOUND_VARIABLE_257016 BOUND_VARIABLE_257017 BOUND_VARIABLE_257018 BOUND_VARIABLE_257019))))) (let ((_let_19904 (forall ((BOUND_VARIABLE_257003 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257004 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_257005 tptp.product_prod_int_int)) (= (@ (@ (@ (@ tptp.relcompp_int_int_int BOUND_VARIABLE_257003) BOUND_VARIABLE_257004) (@ tptp.product_fst_int_int BOUND_VARIABLE_257005)) (@ tptp.product_snd_int_int BOUND_VARIABLE_257005)) (ll_66 BOUND_VARIABLE_257003 BOUND_VARIABLE_257004 BOUND_VARIABLE_257005))))) (let ((_let_19905 (forall ((BOUND_VARIABLE_256993 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256994 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256993 (@ tptp.product_fst_int_int BOUND_VARIABLE_256994)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256994)) (ll_65 BOUND_VARIABLE_256993 BOUND_VARIABLE_256994))))) (let ((_let_19906 (forall ((BOUND_VARIABLE_256976 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256977 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_256978 tptp.int) (BOUND_VARIABLE_256979 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_256976 BOUND_VARIABLE_256978) B4)) (not (@ (@ BOUND_VARIABLE_256977 B4) BOUND_VARIABLE_256979))))) (ll_64 BOUND_VARIABLE_256976 BOUND_VARIABLE_256977 BOUND_VARIABLE_256978 BOUND_VARIABLE_256979))))) (let ((_let_19907 (forall ((BOUND_VARIABLE_256959 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256960 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_256961 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256962 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_256959 BOUND_VARIABLE_256961) B4)) (not (@ (@ BOUND_VARIABLE_256960 B4) BOUND_VARIABLE_256962))))) (ll_63 BOUND_VARIABLE_256959 BOUND_VARIABLE_256960 BOUND_VARIABLE_256961 BOUND_VARIABLE_256962))))) (let ((_let_19908 (forall ((BOUND_VARIABLE_256948 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_256949 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_256950 tptp.code_integer) (BOUND_VARIABLE_256951 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_256948 (@ BOUND_VARIABLE_256949 BOUND_VARIABLE_256950)) BOUND_VARIABLE_256951) (ll_62 BOUND_VARIABLE_256948 BOUND_VARIABLE_256949 BOUND_VARIABLE_256950 BOUND_VARIABLE_256951))))) (let ((_let_19909 (forall ((BOUND_VARIABLE_256937 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_256938 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_256939 tptp.code_integer) (BOUND_VARIABLE_256940 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_256937 (@ BOUND_VARIABLE_256938 BOUND_VARIABLE_256939)) BOUND_VARIABLE_256940) (ll_61 BOUND_VARIABLE_256937 BOUND_VARIABLE_256938 BOUND_VARIABLE_256939 BOUND_VARIABLE_256940))))) (let ((_let_19910 (forall ((BOUND_VARIABLE_256926 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_256927 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_256928 tptp.code_integer) (BOUND_VARIABLE_256929 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_256926 (@ BOUND_VARIABLE_256927 BOUND_VARIABLE_256928)) BOUND_VARIABLE_256929) (ll_60 BOUND_VARIABLE_256926 BOUND_VARIABLE_256927 BOUND_VARIABLE_256928 BOUND_VARIABLE_256929))))) (let ((_let_19911 (forall ((BOUND_VARIABLE_256915 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (BOUND_VARIABLE_256916 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (BOUND_VARIABLE_256917 tptp.code_integer) (BOUND_VARIABLE_256918 tptp.produc8923325533196201883nteger)) (= (@ (@ BOUND_VARIABLE_256915 (@ BOUND_VARIABLE_256916 BOUND_VARIABLE_256917)) BOUND_VARIABLE_256918) (ll_59 BOUND_VARIABLE_256915 BOUND_VARIABLE_256916 BOUND_VARIABLE_256917 BOUND_VARIABLE_256918))))) (let ((_let_19912 (forall ((BOUND_VARIABLE_256906 tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ tptp.product_snd_int_int BOUND_VARIABLE_256906)) (@ tptp.product_fst_int_int BOUND_VARIABLE_256906)) (ll_58 BOUND_VARIABLE_256906))))) (let ((_let_19913 (forall ((BOUND_VARIABLE_256893 tptp.product_prod_nat_nat)) (= (ll_57 BOUND_VARIABLE_256893) (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256893)) (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256893)))))) (let ((_let_19914 (forall ((BOUND_VARIABLE_256878 tptp.product_prod_num_nat)) (= (ll_56 BOUND_VARIABLE_256878) (@ (@ tptp.product_Pair_nat_num (@ (@ (@ tptp.comp_P8336958949797789649um_nat tptp.product_fst_nat_num) (@ tptp.produc5219324331026901427at_num ll_11)) BOUND_VARIABLE_256878)) (@ (@ (@ tptp.comp_P5051845089628979463um_nat tptp.product_snd_nat_num) (@ tptp.produc5219324331026901427at_num ll_10)) BOUND_VARIABLE_256878)))))) (let ((_let_19915 (forall ((BOUND_VARIABLE_256865 tptp.produc3843707927480180839at_nat)) (= (ll_55 BOUND_VARIABLE_256865) (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc2937545259423399429at_nat BOUND_VARIABLE_256865)) (@ (@ (@ tptp.comp_P4974406650942564362at_nat tptp.produc2937545259423399429at_nat) (@ tptp.produc7548845685434208379at_nat ll_13)) BOUND_VARIABLE_256865)))))) (let ((_let_19916 (forall ((BOUND_VARIABLE_256852 tptp.produc1319942482725812455at_nat)) (= (ll_54 BOUND_VARIABLE_256852) (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc826222791318859909at_nat BOUND_VARIABLE_256852)) (@ (@ (@ tptp.comp_P3728553842126764068at_nat tptp.produc826222791318859909at_nat) (@ tptp.produc5456455677105495163at_nat ll_12)) BOUND_VARIABLE_256852)))))) (let ((_let_19917 (forall ((BOUND_VARIABLE_256835 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256836 (-> tptp.int tptp.code_integer Bool)) (BOUND_VARIABLE_256837 tptp.int) (BOUND_VARIABLE_256838 tptp.code_integer)) (= (not (forall ((B4 tptp.int)) (or (not (@ (@ BOUND_VARIABLE_256835 BOUND_VARIABLE_256837) B4)) (not (@ (@ BOUND_VARIABLE_256836 B4) BOUND_VARIABLE_256838))))) (ll_53 BOUND_VARIABLE_256835 BOUND_VARIABLE_256836 BOUND_VARIABLE_256837 BOUND_VARIABLE_256838))))) (let ((_let_19918 (forall ((BOUND_VARIABLE_256818 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256819 (-> tptp.product_prod_nat_nat tptp.int Bool)) (BOUND_VARIABLE_256820 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256821 tptp.int)) (= (not (forall ((B4 tptp.product_prod_nat_nat)) (or (not (@ (@ BOUND_VARIABLE_256818 BOUND_VARIABLE_256820) B4)) (not (@ (@ BOUND_VARIABLE_256819 B4) BOUND_VARIABLE_256821))))) (ll_52 BOUND_VARIABLE_256818 BOUND_VARIABLE_256819 BOUND_VARIABLE_256820 BOUND_VARIABLE_256821))))) (let ((_let_19919 (forall ((BOUND_VARIABLE_256800 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256801 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256802 tptp.product_prod_nat_nat)) (= (ll_51 BOUND_VARIABLE_256800 BOUND_VARIABLE_256801 BOUND_VARIABLE_256802) (@ (@ (@ BOUND_VARIABLE_256800 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256801)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256801)) BOUND_VARIABLE_256802))))) (let ((_let_19920 (forall ((BOUND_VARIABLE_256782 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256783 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256784 tptp.product_prod_nat_nat)) (= (ll_50 BOUND_VARIABLE_256782 BOUND_VARIABLE_256783 BOUND_VARIABLE_256784) (@ (@ (@ BOUND_VARIABLE_256782 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256783)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256783)) BOUND_VARIABLE_256784))))) (let ((_let_19921 (forall ((BOUND_VARIABLE_256764 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256765 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256766 tptp.product_prod_nat_nat)) (= (ll_49 BOUND_VARIABLE_256764 BOUND_VARIABLE_256765 BOUND_VARIABLE_256766) (@ (@ (@ BOUND_VARIABLE_256764 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256765)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256765)) BOUND_VARIABLE_256766))))) (let ((_let_19922 (forall ((BOUND_VARIABLE_256746 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256747 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256748 tptp.product_prod_nat_nat)) (= (ll_48 BOUND_VARIABLE_256746 BOUND_VARIABLE_256747 BOUND_VARIABLE_256748) (@ (@ (@ BOUND_VARIABLE_256746 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256747)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256747)) BOUND_VARIABLE_256748))))) (let ((_let_19923 (forall ((BOUND_VARIABLE_256736 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_256737 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256736 (@ tptp.product_fst_int_int BOUND_VARIABLE_256737)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256737)) (ll_47 BOUND_VARIABLE_256736 BOUND_VARIABLE_256737))))) (let ((_let_19924 (forall ((BOUND_VARIABLE_256726 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_256727 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256726 (@ tptp.product_fst_int_int BOUND_VARIABLE_256727)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256727)) (ll_46 BOUND_VARIABLE_256726 BOUND_VARIABLE_256727))))) (let ((_let_19925 (forall ((BOUND_VARIABLE_256716 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256717 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256716 (@ tptp.product_fst_int_int BOUND_VARIABLE_256717)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256717)) (ll_45 BOUND_VARIABLE_256716 BOUND_VARIABLE_256717))))) (let ((_let_19926 (forall ((BOUND_VARIABLE_256706 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256707 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256706 (@ tptp.product_fst_int_int BOUND_VARIABLE_256707)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256707)) (ll_44 BOUND_VARIABLE_256706 BOUND_VARIABLE_256707))))) (let ((_let_19927 (forall ((BOUND_VARIABLE_256696 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_256697 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256696 (@ tptp.product_fst_int_int BOUND_VARIABLE_256697)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256697)) (ll_43 BOUND_VARIABLE_256696 BOUND_VARIABLE_256697))))) (let ((_let_19928 (forall ((BOUND_VARIABLE_256686 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_256687 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256686 (@ tptp.product_fst_int_int BOUND_VARIABLE_256687)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256687)) (ll_42 BOUND_VARIABLE_256686 BOUND_VARIABLE_256687))))) (let ((_let_19929 (forall ((BOUND_VARIABLE_256668 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256669 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256670 tptp.product_prod_nat_nat)) (= (ll_41 BOUND_VARIABLE_256668 BOUND_VARIABLE_256669 BOUND_VARIABLE_256670) (@ (@ (@ BOUND_VARIABLE_256668 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256669)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256669)) BOUND_VARIABLE_256670))))) (let ((_let_19930 (forall ((BOUND_VARIABLE_256650 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256651 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256652 tptp.product_prod_nat_nat)) (= (ll_40 BOUND_VARIABLE_256650 BOUND_VARIABLE_256651 BOUND_VARIABLE_256652) (@ (@ (@ BOUND_VARIABLE_256650 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256651)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256651)) BOUND_VARIABLE_256652))))) (let ((_let_19931 (forall ((BOUND_VARIABLE_256632 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256633 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256634 tptp.product_prod_nat_nat)) (= (ll_39 BOUND_VARIABLE_256632 BOUND_VARIABLE_256633 BOUND_VARIABLE_256634) (@ (@ (@ BOUND_VARIABLE_256632 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256633)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256633)) BOUND_VARIABLE_256634))))) (let ((_let_19932 (forall ((BOUND_VARIABLE_256614 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256615 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256616 tptp.product_prod_nat_nat)) (= (ll_38 BOUND_VARIABLE_256614 BOUND_VARIABLE_256615 BOUND_VARIABLE_256616) (@ (@ (@ BOUND_VARIABLE_256614 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256615)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256615)) BOUND_VARIABLE_256616))))) (let ((_let_19933 (forall ((BOUND_VARIABLE_256604 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256605 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256604 (@ tptp.product_fst_int_int BOUND_VARIABLE_256605)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256605)) (ll_37 BOUND_VARIABLE_256604 BOUND_VARIABLE_256605))))) (let ((_let_19934 (forall ((BOUND_VARIABLE_256583 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256584 tptp.nat) (BOUND_VARIABLE_256585 tptp.nat) (BOUND_VARIABLE_256586 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_256584) BOUND_VARIABLE_256585))) (= (ll_36 BOUND_VARIABLE_256583 BOUND_VARIABLE_256584 BOUND_VARIABLE_256585 BOUND_VARIABLE_256586) (@ (@ (@ BOUND_VARIABLE_256583 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) (@ tptp.product_snd_nat_nat _let_1)) BOUND_VARIABLE_256586)))))) (let ((_let_19935 (forall ((BOUND_VARIABLE_256562 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256563 tptp.nat) (BOUND_VARIABLE_256564 tptp.nat) (BOUND_VARIABLE_256565 tptp.product_prod_nat_nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_256563) BOUND_VARIABLE_256564))) (= (ll_35 BOUND_VARIABLE_256562 BOUND_VARIABLE_256563 BOUND_VARIABLE_256564 BOUND_VARIABLE_256565) (@ (@ (@ BOUND_VARIABLE_256562 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) _let_1)) (@ tptp.product_snd_nat_nat _let_1)) BOUND_VARIABLE_256565)))))) (let ((_let_19936 (forall ((BOUND_VARIABLE_256552 (-> tptp.int tptp.int tptp.int)) (BOUND_VARIABLE_256553 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256552 (@ tptp.product_fst_int_int BOUND_VARIABLE_256553)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256553)) (ll_34 BOUND_VARIABLE_256552 BOUND_VARIABLE_256553))))) (let ((_let_19937 (forall ((BOUND_VARIABLE_256542 (-> tptp.int tptp.int Bool)) (BOUND_VARIABLE_256543 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256542 (@ tptp.product_fst_int_int BOUND_VARIABLE_256543)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256543)) (ll_33 BOUND_VARIABLE_256542 BOUND_VARIABLE_256543))))) (let ((_let_19938 (forall ((BOUND_VARIABLE_256532 (-> tptp.int tptp.int tptp.product_prod_int_int)) (BOUND_VARIABLE_256533 tptp.product_prod_int_int)) (= (@ (@ BOUND_VARIABLE_256532 (@ tptp.product_fst_int_int BOUND_VARIABLE_256533)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256533)) (ll_32 BOUND_VARIABLE_256532 BOUND_VARIABLE_256533))))) (let ((_let_19939 (forall ((BOUND_VARIABLE_256514 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256515 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256516 tptp.product_prod_nat_nat)) (= (ll_31 BOUND_VARIABLE_256514 BOUND_VARIABLE_256515 BOUND_VARIABLE_256516) (@ (@ (@ BOUND_VARIABLE_256514 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256515)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256515)) BOUND_VARIABLE_256516))))) (let ((_let_19940 (forall ((BOUND_VARIABLE_256496 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256497 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256498 tptp.product_prod_nat_nat)) (= (ll_30 BOUND_VARIABLE_256496 BOUND_VARIABLE_256497 BOUND_VARIABLE_256498) (@ (@ (@ BOUND_VARIABLE_256496 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256497)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256497)) BOUND_VARIABLE_256498))))) (let ((_let_19941 (forall ((BOUND_VARIABLE_256485 (-> tptp.product_prod_int_int tptp.int)) (BOUND_VARIABLE_256486 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc1016772743285680337nt_int BOUND_VARIABLE_256485) (@ tptp.product_fst_int_int BOUND_VARIABLE_256486)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256486)) (ll_29 BOUND_VARIABLE_256485 BOUND_VARIABLE_256486))))) (let ((_let_19942 (forall ((BOUND_VARIABLE_256474 (-> tptp.product_prod_int_int Bool)) (BOUND_VARIABLE_256475 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc175634133007206835_int_o BOUND_VARIABLE_256474) (@ tptp.product_fst_int_int BOUND_VARIABLE_256475)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256475)) (ll_28 BOUND_VARIABLE_256474 BOUND_VARIABLE_256475))))) (let ((_let_19943 (forall ((BOUND_VARIABLE_256463 (-> tptp.product_prod_int_int tptp.product_prod_int_int)) (BOUND_VARIABLE_256464 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc8249235968001453780nt_int BOUND_VARIABLE_256463) (@ tptp.product_fst_int_int BOUND_VARIABLE_256464)) (@ tptp.product_snd_int_int BOUND_VARIABLE_256464)) (ll_27 BOUND_VARIABLE_256463 BOUND_VARIABLE_256464))))) (let ((_let_19944 (forall ((BOUND_VARIABLE_256444 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256445 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256446 tptp.product_prod_nat_nat)) (= (ll_26 BOUND_VARIABLE_256444 BOUND_VARIABLE_256445 BOUND_VARIABLE_256446) (@ (@ (@ (@ tptp.produc3704529784387675049_nat_o BOUND_VARIABLE_256444) (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256445)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256445)) BOUND_VARIABLE_256446))))) (let ((_let_19945 (forall ((BOUND_VARIABLE_256425 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256426 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256427 tptp.product_prod_nat_nat)) (= (ll_25 BOUND_VARIABLE_256425 BOUND_VARIABLE_256426 BOUND_VARIABLE_256427) (@ (@ (@ (@ tptp.produc3610074571335452306at_nat BOUND_VARIABLE_256425) (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256426)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256426)) BOUND_VARIABLE_256427))))) (let ((_let_19946 (forall ((BOUND_VARIABLE_256407 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256408 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256409 tptp.product_prod_nat_nat)) (= (ll_24 BOUND_VARIABLE_256407 BOUND_VARIABLE_256408 BOUND_VARIABLE_256409) (@ (@ (@ BOUND_VARIABLE_256407 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256408)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256408)) BOUND_VARIABLE_256409))))) (let ((_let_19947 (forall ((BOUND_VARIABLE_256389 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256390 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256391 tptp.product_prod_nat_nat)) (= (ll_23 BOUND_VARIABLE_256389 BOUND_VARIABLE_256390 BOUND_VARIABLE_256391) (@ (@ (@ BOUND_VARIABLE_256389 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256390)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256390)) BOUND_VARIABLE_256391))))) (let ((_let_19948 (forall ((BOUND_VARIABLE_256371 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (BOUND_VARIABLE_256372 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256373 tptp.product_prod_nat_nat)) (= (ll_22 BOUND_VARIABLE_256371 BOUND_VARIABLE_256372 BOUND_VARIABLE_256373) (@ (@ (@ BOUND_VARIABLE_256371 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256372)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256372)) BOUND_VARIABLE_256373))))) (let ((_let_19949 (forall ((BOUND_VARIABLE_256353 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (BOUND_VARIABLE_256354 tptp.product_prod_nat_nat) (BOUND_VARIABLE_256355 tptp.product_prod_nat_nat)) (= (ll_21 BOUND_VARIABLE_256353 BOUND_VARIABLE_256354 BOUND_VARIABLE_256355) (@ (@ (@ BOUND_VARIABLE_256353 (@ (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) (@ tptp.produc2626176000494625587at_nat ll_14)) BOUND_VARIABLE_256354)) (@ tptp.product_snd_nat_nat BOUND_VARIABLE_256354)) BOUND_VARIABLE_256355))))) (let ((_let_19950 (forall ((BOUND_VARIABLE_256345 tptp.set_Pr958786334691620121nt_int) (BOUND_VARIABLE_256346 tptp.product_prod_int_int)) (= (@ (@ tptp.member5262025264175285858nt_int BOUND_VARIABLE_256346) BOUND_VARIABLE_256345) (ll_20 BOUND_VARIABLE_256345 BOUND_VARIABLE_256346))))) (let ((_let_19951 (forall ((BOUND_VARIABLE_256337 tptp.set_nat) (BOUND_VARIABLE_256338 tptp.nat)) (= (@ (@ tptp.member_nat BOUND_VARIABLE_256338) BOUND_VARIABLE_256337) (ll_19 BOUND_VARIABLE_256337 BOUND_VARIABLE_256338))))) (let ((_let_19952 (forall ((BOUND_VARIABLE_256329 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_256330 tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8440522571783428010at_nat BOUND_VARIABLE_256330) BOUND_VARIABLE_256329) (ll_18 BOUND_VARIABLE_256329 BOUND_VARIABLE_256330))))) (let ((_let_19953 (forall ((BOUND_VARIABLE_256321 tptp.set_int) (BOUND_VARIABLE_256322 tptp.int)) (= (@ (@ tptp.member_int BOUND_VARIABLE_256322) BOUND_VARIABLE_256321) (ll_17 BOUND_VARIABLE_256321 BOUND_VARIABLE_256322))))) (let ((_let_19954 (forall ((BOUND_VARIABLE_256313 tptp.set_o) (BOUND_VARIABLE_256314 Bool)) (= (@ (@ tptp.member_o BOUND_VARIABLE_256314) BOUND_VARIABLE_256313) (ll_16 BOUND_VARIABLE_256313 BOUND_VARIABLE_256314))))) (let ((_let_19955 (forall ((BOUND_VARIABLE_256305 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_256306 tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat BOUND_VARIABLE_256306) BOUND_VARIABLE_256305) (ll_15 BOUND_VARIABLE_256305 BOUND_VARIABLE_256306))))) (let ((_let_19956 (forall ((BOUND_VARIABLE_256297 tptp.nat) (BOUND_VARIABLE_256298 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_nat BOUND_VARIABLE_256298) BOUND_VARIABLE_256297) (ll_14 BOUND_VARIABLE_256297 BOUND_VARIABLE_256298))))) (let ((_let_19957 (forall ((BOUND_VARIABLE_256289 tptp.set_Pr1261947904930325089at_nat) (BOUND_VARIABLE_256290 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat BOUND_VARIABLE_256290) BOUND_VARIABLE_256289) (ll_13 BOUND_VARIABLE_256289 BOUND_VARIABLE_256290))))) (let ((_let_19958 (forall ((BOUND_VARIABLE_256281 tptp.set_Pr4329608150637261639at_nat) (BOUND_VARIABLE_256282 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat BOUND_VARIABLE_256282) BOUND_VARIABLE_256281) (ll_12 BOUND_VARIABLE_256281 BOUND_VARIABLE_256282))))) (let ((_let_19959 (forall ((BOUND_VARIABLE_256273 tptp.num) (BOUND_VARIABLE_256274 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_256274) BOUND_VARIABLE_256273) (ll_11 BOUND_VARIABLE_256273 BOUND_VARIABLE_256274))))) (let ((_let_19960 (forall ((BOUND_VARIABLE_256265 tptp.num) (BOUND_VARIABLE_256266 tptp.nat)) (= (@ (@ tptp.product_Pair_nat_num BOUND_VARIABLE_256266) BOUND_VARIABLE_256265) (ll_10 BOUND_VARIABLE_256265 BOUND_VARIABLE_256266))))) (let ((_let_19961 (forall ((BOUND_VARIABLE_256257 tptp.heap_e7401611519738050253t_unit) (BOUND_VARIABLE_256258 tptp.ref_a)) (= (@ (@ tptp.produc6544324848051098391t_unit BOUND_VARIABLE_256258) BOUND_VARIABLE_256257) (ll_9 BOUND_VARIABLE_256257 BOUND_VARIABLE_256258))))) (let ((_let_19962 (forall ((BOUND_VARIABLE_256249 tptp.heap_e7401611519738050253t_unit) (BOUND_VARIABLE_256250 tptp.ref_a)) (= (@ (@ tptp.produc6544324848051098391t_unit BOUND_VARIABLE_256250) BOUND_VARIABLE_256249) (ll_8 BOUND_VARIABLE_256249 BOUND_VARIABLE_256250))))) (let ((_let_19963 (forall ((BOUND_VARIABLE_256241 tptp.ref_a) (BOUND_VARIABLE_256242 tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.get_a BOUND_VARIABLE_256242) BOUND_VARIABLE_256241) (ll_7 BOUND_VARIABLE_256241 BOUND_VARIABLE_256242))))) (let ((_let_19964 (forall ((BOUND_VARIABLE_256233 tptp.ref_a) (BOUND_VARIABLE_256234 tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.get_a BOUND_VARIABLE_256234) BOUND_VARIABLE_256233) (ll_6 BOUND_VARIABLE_256233 BOUND_VARIABLE_256234))))) (let ((_let_19965 (forall ((BOUND_VARIABLE_256226 tptp.produc7812382424243267045t_unit) (BOUND_VARIABLE_256227 tptp.produc7812382424243267045t_unit)) (= (= BOUND_VARIABLE_256226 BOUND_VARIABLE_256227) (ll_5 BOUND_VARIABLE_256226 BOUND_VARIABLE_256227))))) (let ((_let_19966 (forall ((BOUND_VARIABLE_256204 tptp.produc7812382424243267045t_unit) (BOUND_VARIABLE_256205 tptp.produc7812382424243267045t_unit)) (let ((_let_1 (@ tptp.produc2552614499379209865t_unit ll_2))) (let ((_let_2 (@ tptp.produc4846201513286513633_ref_a ll_3))) (= (ll_4 BOUND_VARIABLE_256204 BOUND_VARIABLE_256205) (and (= (@ _let_2 BOUND_VARIABLE_256204) (@ _let_2 BOUND_VARIABLE_256205)) (= (@ _let_1 BOUND_VARIABLE_256204) (@ _let_1 BOUND_VARIABLE_256205))))))))) (let ((_let_19967 (forall ((BOUND_VARIABLE_256198 tptp.ref_a) (BOUND_VARIABLE_256199 tptp.heap_e7401611519738050253t_unit)) (= BOUND_VARIABLE_256198 (ll_3 BOUND_VARIABLE_256198 BOUND_VARIABLE_256199))))) (let ((_let_19968 (forall ((BOUND_VARIABLE_256192 tptp.ref_a) (BOUND_VARIABLE_256193 tptp.heap_e7401611519738050253t_unit)) (= BOUND_VARIABLE_256193 (ll_2 BOUND_VARIABLE_256192 BOUND_VARIABLE_256193))))) (let ((_let_19969 (=> (= tptp.r (@ (@ tptp.produc4846201513286513633_ref_a ll_3) _let_297)) (not (= tptp.h2 (@ (@ tptp.produc2552614499379209865t_unit ll_2) _let_297)))))) (let ((_let_19970 (and _let_19969 _let_19968 _let_19967 _let_19966 _let_19965 _let_19964 _let_19963 _let_19962 _let_19961 _let_19960 _let_19959 _let_19958 _let_19957 _let_19956 _let_19955 _let_19954 _let_19953 _let_19952 _let_19951 _let_19950 _let_19949 _let_19948 _let_19947 _let_19946 _let_19945 _let_19944 _let_19943 _let_19942 _let_19941 _let_19940 _let_19939 _let_19938 _let_19937 _let_19936 _let_19935 _let_19934 _let_19933 _let_19932 _let_19931 _let_19930 _let_19929 _let_19928 _let_19927 _let_19926 _let_19925 _let_19924 _let_19923 _let_19922 _let_19921 _let_19920 _let_19919 _let_19918 _let_19917 _let_19916 _let_19915 _let_19914 _let_19913 _let_19912 _let_19911 _let_19910 _let_19909 _let_19908 _let_19907 _let_19906 _let_19905 _let_19904 _let_19903 _let_19902 _let_19901 _let_19900 _let_19899 _let_19898 _let_19897 _let_19896 _let_19895 _let_19894 _let_19893 _let_19892 _let_19891 _let_19890 _let_19889 _let_19888 _let_19887 _let_19886 _let_19885 _let_19884 _let_19883 _let_19882 _let_19881 _let_19880 _let_19879 _let_19878 _let_19877 _let_19876 _let_19875 _let_19874 _let_19873 _let_19872 _let_19871 _let_19870 _let_19869 _let_19868 _let_19867 _let_19866 _let_19865 _let_19864 _let_19863 _let_19862 _let_19861 _let_19860 _let_19859 _let_19858 _let_19857 _let_19856 _let_19855 _let_19854 _let_19853 _let_19852 _let_19851 _let_19850 _let_19849 _let_19848 _let_19847 _let_19846 _let_19845 _let_19844 _let_19843 _let_19842 _let_19841 _let_19840 _let_19839 _let_19838 _let_19837 _let_19836 _let_19835 _let_19834 _let_19833 _let_19832 _let_19831 _let_19830 _let_19829 _let_19828 _let_19827 _let_19826 _let_19825 _let_19824 _let_19823 _let_19822 _let_19821 _let_19820 _let_19819 _let_19818 _let_19817 _let_19816 _let_19815 _let_19814 _let_19813 _let_19812 _let_19811 _let_19810 _let_19809 _let_19808 _let_19807 _let_19806 _let_19805 _let_19804 _let_19803 _let_19802 _let_19801 _let_19800 _let_19799 _let_19798 _let_19797 _let_19796 _let_19795 _let_19794 _let_19793 _let_19792 _let_19791 _let_19790 _let_19789 _let_19788 _let_19787 _let_19786 _let_19785 _let_19784 _let_19783 _let_19782 _let_19781 _let_19780 _let_19779 _let_19778 _let_19777 _let_19776 _let_19775 _let_19774 _let_19773 _let_19772 _let_19771 _let_19770 _let_19769 _let_19768 _let_19767 _let_19766 _let_19765 _let_19764 _let_19763 _let_19762 _let_19761 _let_19760 _let_19759 _let_19758 _let_19757 _let_19756 _let_19755 _let_19754 _let_19753 _let_19752 _let_19751 _let_19750 _let_19749 _let_19748 _let_19747 _let_19746 _let_19745 _let_19744 _let_19743 _let_19742 _let_19741 _let_19740 _let_19739 _let_19738 _let_19737 _let_19736 _let_19735 _let_19734 _let_19733 _let_19732 _let_19731 _let_19730 _let_19729 _let_19728 _let_19727 _let_19726 _let_19725 _let_19724 _let_19723 _let_19722 _let_19721 _let_19720 _let_19719 _let_19718 _let_19717 _let_19716 _let_19715 _let_19714 _let_19713 _let_19712 _let_19711 _let_19710 _let_19709 _let_19708 _let_19707 _let_19706 _let_19705 _let_19704 _let_19703 _let_19702 _let_19701 _let_19700 _let_19699 _let_19698 _let_19697 _let_19696 _let_19695 _let_19694 _let_19693 _let_19692 _let_19691 _let_19690 _let_19689 _let_19688 _let_19687 _let_19686 _let_19685 _let_19684 _let_19683 _let_19682 _let_19681 _let_19680 _let_19679 _let_19678 _let_19677 _let_19676 _let_19675 _let_19674 _let_19673 _let_19672 _let_19671 _let_19670 _let_19669 _let_19668 _let_19667 _let_19666 _let_19665 _let_19664 _let_19663 _let_19662 _let_19661 _let_19660 _let_19659 _let_19658 _let_19657 _let_19656 _let_19655 _let_19654 _let_19653 _let_19652 _let_19651 _let_19650 _let_19649 _let_19648 _let_19647 _let_19646 _let_19645 _let_19644 _let_19643 _let_19642 _let_19641 _let_19640 _let_19639 _let_19638 _let_19637 _let_19636 _let_19635 _let_19634 _let_19633 _let_19632 _let_19631 _let_19630 _let_19629 _let_19628 _let_19627 _let_19626 _let_19625 _let_19624 _let_19623 _let_19622 _let_19621 _let_19620 _let_19619 _let_19618 _let_19617 _let_19616 _let_19615 _let_19614 _let_19613 _let_19612 _let_19611 _let_19610 _let_19609 _let_19608 _let_19607 _let_19606 _let_19605 _let_19604 _let_19603 _let_19602 _let_19601 _let_19600 _let_19599 _let_19598 _let_19597 _let_19596 _let_19595 _let_19594 _let_19593 _let_19592 _let_19591 _let_19590 _let_19589 _let_19588 _let_19587 _let_19586 _let_19585 _let_19584 _let_19583 _let_19582 _let_19581 _let_19580 _let_19579 _let_19578 _let_19577 _let_19576 _let_19575 _let_19574 _let_19573 _let_19572 _let_19571 _let_19570 _let_19569 _let_19568 _let_19567 _let_19566 _let_19565 _let_19564 _let_19563 _let_19562 _let_19561 _let_19560 _let_19559 _let_19558 _let_19557 _let_19556 _let_19555 _let_19554 _let_19553 _let_19552 _let_19551 _let_19550 _let_19549 _let_19548 _let_19547 _let_19546 _let_19545 _let_19544 _let_19543 _let_19542 _let_19541 _let_19540 _let_19539 _let_19538 _let_19537 _let_19536 _let_19535 _let_19534 _let_19533 _let_19532 _let_19531 _let_19530 _let_19529 _let_19528 _let_19527 _let_19526 _let_19525 _let_19524 _let_19523 _let_19522 _let_19521 _let_19520 _let_19519 _let_19518 _let_19517 _let_19516 _let_19515 _let_19514 _let_19513 _let_19512 _let_19511 _let_19510 _let_19509 _let_19508 _let_19507 _let_19506 _let_19505 _let_19504 _let_19503 _let_19502 _let_19501 _let_19500 _let_19499 _let_19498 _let_19497 _let_19496 _let_19495 _let_19494 _let_19493 _let_19492 _let_19491 _let_19490 _let_19489 _let_19488 _let_19487 _let_19486 _let_19485 _let_19484 _let_19483 _let_19482 _let_19481 _let_19480 _let_19479 _let_19478 _let_19477 _let_19476 _let_19475 _let_19474 _let_19473 _let_19472 _let_19471 _let_19470 _let_19469 _let_19468 _let_19467 _let_19466 _let_19465 _let_19464 _let_19463 _let_19462 _let_19461 _let_19460 _let_19459 _let_19458 _let_19457 _let_19456 _let_19455 _let_19454 _let_19453 _let_19452 _let_19451 _let_19450 _let_19449 _let_19448 _let_19447 _let_19446 _let_19445 _let_19444 _let_19443 _let_19442 _let_19441 _let_19440 _let_19439 _let_19438 _let_19437 _let_19436 _let_19435 _let_19434 _let_19433 _let_19432 _let_19431 _let_19430 _let_19429 _let_19428 _let_19427 _let_19426 _let_19425 _let_19424 _let_19423 _let_19422 _let_19421 _let_19420 _let_19419 _let_19418 _let_19417 _let_19416 _let_19415 _let_19414 _let_19413 _let_19412 _let_19411 _let_19410 _let_19409 _let_19408 _let_19407 _let_19406 _let_19405 _let_19404 _let_19403 _let_19402 _let_19401 _let_19400 _let_19399 _let_19398 _let_19397 _let_19396 _let_19395 _let_19394 _let_19393 _let_19392 _let_19391 _let_19390 _let_19389 _let_19388 _let_19387 _let_19386 _let_19385 _let_19384 _let_19383 _let_19382 _let_19381 _let_19380 _let_19379 _let_19378 _let_19377 _let_19376 _let_19375 _let_19374 _let_19373 _let_19372 _let_19371 _let_19370 _let_19369 _let_19368 _let_19367 _let_19366 _let_19365 _let_19364 _let_19363 _let_19362 _let_19361 _let_19360 _let_19359 _let_19358 _let_19357 _let_19356 _let_19355 _let_19354 _let_19353 _let_19352 _let_19351 _let_19350 _let_19349 _let_19348 _let_19347 _let_19346 _let_19345 _let_19344 _let_19343 _let_19342 _let_19341 _let_19340 _let_19339 _let_19338 _let_19337 _let_19336 _let_19335 _let_19334 _let_19333 _let_19332 _let_19331 _let_19330 _let_19329 _let_19328 _let_19327 _let_19326 _let_19325 _let_19324 _let_19323 _let_19322 _let_19321 _let_19320 _let_19319 _let_19318 _let_19317 _let_19316 _let_19315 _let_19314 _let_19313 _let_19312 _let_19311 _let_19310 _let_19309 _let_19308 _let_19307 _let_19306 _let_19305 _let_19304 _let_19303 _let_19302 _let_19301 _let_19300 _let_19299 _let_19298 _let_19297 _let_19296 _let_19295 _let_19294 _let_19293 _let_19292 _let_19291 _let_19290 _let_19289 _let_19288 _let_19287 _let_19286 _let_19285 _let_19284 _let_19283 _let_19282 _let_19281 _let_19280 _let_19279 _let_19278 _let_19277 _let_19276 _let_19275 _let_19274 _let_19273 _let_19272 _let_19271 _let_19270 _let_19269 _let_19268 _let_19267 _let_19266 _let_19265 _let_19264 _let_19263 _let_19262 _let_19261 _let_19260 _let_19259 _let_19258 _let_19257 _let_19256 _let_19255 _let_19254 _let_19253 _let_19252 _let_19251 _let_19250 _let_19249 _let_19248 _let_19247 _let_19246 _let_19245 _let_19244 _let_19243 _let_19242 _let_19241 _let_19240 _let_19239 _let_19238 _let_19237 _let_19236 _let_19235 _let_19234 _let_19233 _let_19232 _let_19231 _let_19230 _let_19229 _let_19228 _let_19227 _let_19226 _let_19225 _let_19224 _let_19223 _let_19222 _let_19221 _let_19220 _let_19219 _let_19218 _let_19217 _let_19216 _let_19215 _let_19214 _let_19213 _let_19212 _let_19211 _let_19210 _let_19209 _let_19208 _let_19207 _let_19206 _let_19205 _let_19204 _let_19203 _let_19202 _let_19201 _let_19200 _let_19199 _let_19198 _let_19197 _let_19196 _let_19195 _let_19194 _let_19193 _let_19192 _let_19191 _let_19190 _let_19189 _let_19188 _let_19187 _let_19186 _let_19185 _let_19184 _let_19183 _let_19182 _let_19181 _let_19180 _let_19179 _let_19178 _let_19177 _let_19176 _let_19175 _let_19174 _let_19173 _let_19172 _let_19171 _let_19170 _let_19169 _let_19168 _let_19167 _let_19166 _let_19165 _let_19164 _let_19163 _let_19162 _let_19161 _let_19160 _let_19159 _let_19158 _let_19157 _let_19156 _let_19155 _let_19154 _let_19153 _let_19152 _let_19151 _let_19150 _let_19149 _let_19148 _let_19147 _let_19146 _let_19145 _let_19144 _let_19143 _let_19142 _let_19141 _let_19140 _let_19139 _let_19138 _let_19137 _let_19136 _let_19135 _let_19134 _let_19133 _let_19132 _let_19131 _let_19130 _let_19129 _let_19128 _let_19127 _let_19126 _let_19125 _let_19124 _let_19123 _let_19122 _let_19121 _let_19120 _let_19119 _let_19118 _let_19117 _let_19116 _let_19115 _let_19114 _let_19113 _let_19112 _let_19111 _let_19110 _let_19109 _let_19108 _let_19107 _let_19106 _let_19105 _let_19104 _let_19103 _let_19102 _let_19101 _let_19100 _let_19099 _let_19098 _let_19097 _let_19096 _let_19095 _let_19094 _let_19093 _let_19092 _let_19091 _let_19090 _let_19089 _let_19088 _let_19087 _let_19086 _let_19085 _let_19084 _let_19083 _let_19082 _let_19081 _let_19080 _let_19079 _let_19078 _let_19077 _let_19076 _let_19075 _let_19074 _let_19073 _let_19072 _let_19071 _let_19070 _let_19069 _let_19068 _let_19067 _let_19066 _let_19065 _let_19064 _let_19063 _let_19062 _let_19061 _let_19060 _let_19059 _let_19058 _let_19057 _let_19056 _let_19055 _let_19054 _let_19053 _let_19052 _let_19051 _let_19050 _let_19049 _let_19048 _let_19047 _let_19046 _let_19045 _let_19044 _let_19043 _let_19042 _let_19041 _let_19040 _let_19039 _let_19038 _let_19037 _let_19036 _let_19035 _let_19034 _let_19033 _let_19032 _let_19031 _let_19030 _let_19029 _let_19028 _let_19027 _let_19026 _let_19025 _let_19024 _let_19023 _let_19022 _let_19021 _let_19020 _let_19019 _let_19018 _let_19017 _let_19016 _let_19015 _let_19014 _let_19013 _let_19012 _let_19011 _let_19010 _let_19009 _let_19008 _let_19007 _let_19006 _let_19005 _let_19004 _let_19003 _let_19002 _let_19001 _let_19000 _let_18999 _let_18998 _let_18997 _let_18996 _let_18995 _let_18994 _let_18993 _let_18992 _let_18991 _let_18990 _let_18989 _let_18988 _let_18987 _let_18986 _let_18985 _let_18984 _let_18983 _let_18982 _let_18981 _let_18980 _let_18979 _let_18978 _let_18977 _let_18976 _let_18975 _let_18974 _let_18973 _let_18972 _let_18971 _let_18970 _let_18969 _let_18968 _let_18967 _let_18966 _let_18965 _let_18964 _let_18963 _let_18962 _let_18961 _let_18960 _let_18959 _let_18958 _let_18957 _let_18956 _let_18955 _let_18954 _let_18953 _let_18952 _let_18951 _let_18950 _let_18949 _let_18948 _let_18947 _let_18946 _let_18945 _let_18944 _let_18943 _let_18942 _let_18941 _let_18940 _let_18939 _let_18938 _let_18937 _let_18936 _let_18935 _let_18934 _let_18933 _let_18932 _let_18931 _let_18930 _let_18929 _let_18928 _let_18927 _let_18926 _let_18925 _let_18924 _let_18923 _let_18922 _let_18921 _let_18920 _let_18919 _let_18918 _let_18917 _let_18916 _let_18915 _let_18914 _let_18913 _let_18912 _let_18911 _let_18910 _let_18909 _let_18908 _let_18907 _let_18906 _let_18905 _let_18904 _let_18903 _let_18902 _let_18901 _let_18900 _let_18899 _let_18898 _let_18897 _let_18896 _let_18895 _let_18894 _let_18893 _let_18892 _let_18891 _let_18890 _let_18889 _let_18888 _let_18887 _let_18886 _let_18885 _let_18884 _let_18883 _let_18882 _let_18881 _let_18880 _let_18879 _let_18878 _let_18877 _let_18876 _let_18875 _let_18874 _let_18873 _let_18872 _let_18871 _let_18870 _let_18869 _let_18868 _let_18867 _let_18866 _let_18865 _let_18864 _let_18863 _let_18862 _let_18861 _let_18860 _let_18859 _let_18858 _let_18857 _let_18856 _let_18855 _let_18854 _let_18853 _let_18852 _let_18851 _let_18850 _let_18849 _let_18848 _let_18847 _let_18846 _let_18845 _let_18844 _let_18843 _let_18842 _let_18841 _let_18840 _let_18839 _let_18838 _let_18837 _let_18836 _let_18835 _let_18834 _let_18833 _let_18832 _let_18831 _let_18830 _let_18829 _let_18828 _let_18827 _let_18826 _let_18825 _let_18824 _let_18823 _let_18822 _let_18821 _let_18820 _let_18819 _let_18818 _let_18817 _let_18816 _let_18815 _let_18814 _let_18813 _let_18812 _let_18811 _let_18810 _let_18809 _let_18808 _let_18807 _let_18806 _let_18805 _let_18804 _let_18803 _let_18802 _let_18801 _let_18800 _let_18799 _let_18798 _let_18797 _let_18796 _let_18795 _let_18794 _let_18793 _let_18792 _let_18791 _let_18790 _let_18789 _let_18788 _let_18787 _let_18786 _let_18785 _let_18784 _let_18783 _let_18782 _let_18781 _let_18780 _let_18779 _let_18778 _let_18777 _let_18776 _let_18775 _let_18774 _let_18773 _let_18772 _let_18771 _let_18770 _let_18769 _let_18768 _let_18767 _let_18766 _let_18765 _let_18764 _let_18763 _let_18762 _let_18761 _let_18760 _let_18759 _let_18758 _let_18757 _let_18756 _let_18755 _let_18754 _let_18753 _let_18752 _let_18751 _let_18750 _let_18749 _let_18748 _let_18747 _let_18746 _let_18745 _let_18744 _let_18743 _let_18742 _let_18741 _let_18740 _let_18739 _let_18738 _let_18737 _let_18736 _let_18735 _let_18734 _let_18733 _let_18732 _let_18731 _let_18730 _let_18729 _let_18728 _let_18727 _let_18726 _let_18725 _let_18724 _let_18723 _let_18722 _let_18721 _let_18720 _let_18719 _let_18718 _let_18717 _let_18716 _let_18715 _let_18714 _let_18713 _let_18712 _let_18711 _let_18710 _let_18709 _let_18708 _let_18707 _let_18706 _let_18705 _let_18704 _let_18703 _let_18702 _let_18701 _let_18700 _let_18699 _let_18698 _let_18697 _let_18696 _let_18695 _let_18694 _let_18693 _let_18692 _let_18691 _let_18690 _let_18689 _let_18688 _let_18687 _let_18686 _let_18685 _let_18684 _let_18683 _let_18682 _let_18681 _let_18680 _let_18679 _let_18678 _let_18677 _let_18676 _let_18675 _let_18674 _let_18673 _let_18672 _let_18671 _let_18670 _let_18669 _let_18668 _let_18667 _let_18666 _let_18665 _let_18664 _let_18663 _let_18662 _let_18661 _let_18660 _let_18659 _let_18658 _let_18657 _let_18656 _let_18655 _let_18654 _let_18653 _let_18652 _let_18651 _let_18650 _let_18649 _let_18648 _let_18647 _let_18646 _let_18645 _let_18644 _let_18643 _let_18642 _let_18641 _let_18640 _let_18639 _let_18638 _let_18637 _let_18636 _let_18635 _let_18634 _let_18633 _let_18632 _let_18631 _let_18630 _let_18629 _let_18628 _let_18627 _let_18626 _let_18625 _let_18624 _let_18623 _let_18622 _let_18621 _let_18620 _let_18619 _let_18618 _let_18617 _let_18616 _let_18615 _let_18614 _let_18613 _let_18612 _let_18611 _let_18610 _let_18609 _let_18608 _let_18607 _let_18606 _let_18605 _let_18604 _let_18603 _let_18602 _let_18601 _let_18600 _let_18599 _let_18598 _let_18597 _let_18596 _let_18595 _let_18594 _let_18593 _let_18592 _let_18591 _let_18590 _let_18589 _let_18588 _let_18587 _let_18586 _let_18585 _let_18584 _let_18583 _let_18582 _let_18581 _let_18580 _let_18579 _let_18578 _let_18577 _let_18576 _let_18575 _let_18574 _let_18573 _let_18572 _let_18571 _let_18570 _let_18569 _let_18568 _let_18567 _let_18566 _let_18565 _let_18564 _let_18563 _let_18562 _let_18561 _let_18560 _let_18559 _let_18558 _let_18557 _let_18556 _let_18555 _let_18554 _let_18553 _let_18552 _let_18551 _let_18550 _let_18549 _let_18548 _let_18547 _let_18546 _let_18545 _let_18544 _let_18543 _let_18542 _let_18541 _let_18540 _let_18539 _let_18538 _let_18537 _let_18536 _let_18535 _let_18534 _let_18533 _let_18532 _let_18531 _let_18530 _let_18529 _let_18528 _let_18527 _let_18526 _let_18525 _let_18524 _let_18523 _let_18522 _let_18521 _let_18520 _let_18519 _let_18518 _let_18517 _let_18516 _let_18515 _let_18514 _let_18513 _let_18512 _let_18511 _let_18510 _let_18509 _let_18508 _let_18507 _let_18506 _let_18505 _let_18504 _let_18503 _let_18502 _let_18501 _let_18500 _let_18499 _let_18498 _let_18497 _let_18496 _let_18495 _let_18494 _let_18493 _let_18492 _let_18491 _let_18490 _let_18489 _let_18488 _let_18487 _let_18486 _let_18485 _let_18484 _let_18483 _let_18482 _let_18481 _let_18480 _let_18479 _let_18478 _let_18477 _let_18476 _let_18475 _let_18474 _let_18473 _let_18472 _let_18471 _let_18470 _let_18469 _let_18468 _let_18467 _let_18466 _let_18465 _let_18464 _let_18463 _let_18462 _let_18461 _let_18460 _let_18459 _let_18458 _let_18457 _let_18456 _let_18455 _let_18454 _let_18453 _let_18452 _let_18451 _let_18450 _let_18449 _let_18448 _let_18447 _let_18446 _let_18445 _let_18444 _let_18443 _let_18442 _let_18441 _let_18440 _let_18439 _let_18438 _let_18437 _let_18436 _let_18435 _let_18434 _let_18433 _let_18432 _let_18431 _let_18430 _let_18429 _let_18428 _let_18427 _let_18426 _let_18425 _let_18424 _let_18423 _let_18422 _let_18421 _let_18420 _let_18419 _let_18418 _let_18417 _let_18416 _let_18415 _let_18414 _let_18413 _let_18412 _let_18411 _let_18410 _let_18409 _let_18408 _let_18407 _let_18406 _let_18405 _let_18404 _let_18403 _let_18402 _let_18401 _let_18400 _let_18399 _let_18398 _let_18397 _let_18396 _let_18395 _let_18394 _let_18393 _let_18392 _let_18391 _let_18390 _let_18389 _let_18388 _let_18387 _let_18386 _let_18385 _let_18384 _let_18383 _let_18382 _let_18381 _let_18380 _let_18379 _let_18378 _let_18377 _let_18376 _let_18375 _let_18374 _let_18373 _let_18372 _let_18371 _let_18370 _let_18369 _let_18368 _let_18367 _let_18366 _let_18365 _let_18364 _let_18363 _let_18362 _let_18361 _let_18360 _let_18359 _let_18358 _let_18357 _let_18356 _let_18355 _let_18354 _let_18353 _let_18352 _let_18351 _let_18350 _let_18349 _let_18348 _let_18347 _let_18346 _let_18345 _let_18344 _let_18343 _let_18342 _let_18341 _let_18340 _let_18339 _let_18338 _let_18337 _let_18336 _let_18335 _let_18334 _let_18333 _let_18332 _let_18331 _let_18330 _let_18329 _let_18328 _let_18327 _let_18326 _let_18325 _let_18324 _let_18323 _let_18322 _let_18321 _let_18320 _let_18319 _let_18318 _let_18317 _let_18316 _let_18315 _let_18314 _let_18313 _let_18312 _let_18311 _let_18310 _let_18309 _let_18308 _let_18307 _let_18306 _let_18305 _let_18304 _let_18303 _let_18302 _let_18301 _let_18300 _let_18299 _let_18298 _let_18297 _let_18296 _let_18295 _let_18294 _let_18293 _let_18292 _let_18291 _let_18290 _let_18289 _let_18288 _let_18287 _let_18286 _let_18285 _let_18284 _let_18283 _let_18282 _let_18281 _let_18280 _let_18279 _let_18278 _let_18277 _let_18276 _let_18275 _let_18274 _let_18273 _let_18272 _let_18271 _let_18270 _let_18269 _let_18268 _let_18267 _let_18266 _let_18265 _let_18264 _let_18263 _let_18262 _let_18261 _let_18260 _let_18259 _let_18258 _let_18257 _let_18256 _let_18255 _let_18254 _let_18253 _let_18252 _let_18251 _let_18250 _let_18249 _let_18248 _let_18247 _let_18246 _let_18245 _let_18244 _let_18243 _let_18242 _let_18241 _let_18240 _let_18239 _let_18238 _let_18237 _let_18236 _let_18235 _let_18234 _let_18233 _let_18232 _let_18231 _let_18230 _let_18229 _let_18228 _let_18227 _let_18226 _let_18225 _let_18224 _let_18223 _let_18222 _let_18221 _let_18220 _let_18219 _let_18218 _let_18217 _let_18216 _let_18215 _let_18214 _let_18213 _let_18212 _let_18211 _let_18210 _let_18209 _let_18208 _let_18207 _let_18206 _let_18205 _let_18204 _let_18203 _let_18202 _let_18201 _let_18200 _let_18199 _let_18198 _let_18197 _let_18196 _let_18195 _let_18194 _let_18193 _let_18192 _let_18191 _let_18190 _let_18189 _let_18188 _let_18187 _let_18186 _let_18185 _let_18184 _let_18183 _let_18182 _let_18181 _let_18180 _let_18179 _let_18178 _let_18177 _let_18176 _let_18175 _let_18174 _let_18173 _let_18172 _let_18171 _let_18170 _let_18169 _let_18168 _let_18167 _let_18166 _let_18165 _let_18164 _let_18163 _let_18162 _let_18161 _let_18160 _let_18159 _let_18158 _let_18157 _let_18156 _let_18155 _let_18154 _let_18153 _let_18152 _let_18151 _let_18150 _let_18149 _let_18148 _let_18147 _let_18146 _let_18145 _let_18144 _let_18143 _let_18142 _let_18141 _let_18140 _let_18139 _let_18138 _let_18137 _let_18136 _let_18135 _let_18134 _let_18133 _let_18132 _let_18131 _let_18130 _let_18129 _let_18128 _let_18127 _let_18126 _let_18125 _let_18124 _let_18123 _let_18122 _let_18121 _let_18120 _let_18119 _let_18118 _let_18117 _let_18116 _let_18115 _let_18114 _let_18113 _let_18112 _let_18111 _let_18110 _let_18109 _let_18108 _let_18107 _let_18106 _let_18105 _let_18104 _let_18103 _let_18102 _let_18101 _let_18100 _let_18099 _let_18098 _let_18097 _let_18096 _let_18095 _let_18094 _let_18093 _let_18092 _let_18091 _let_18090 _let_18089 _let_18088 _let_18087 _let_18086 _let_18085 _let_18084 _let_18083 _let_18082 _let_18081 _let_18080 _let_18079 _let_18078 _let_18077 _let_18076 _let_18075 _let_18074 _let_18073 _let_18072 _let_18071 _let_18070 _let_18069 _let_18068 _let_18067 _let_18066 _let_18065 _let_18064 _let_18063 _let_18062 _let_18061 _let_18060 _let_18059 _let_18058 _let_18057 _let_18056 _let_18055 _let_18054 _let_18053 _let_18052 _let_18051 _let_18050 _let_18049 _let_18048 _let_18047 _let_18046 _let_18045 _let_18044 _let_18043 _let_18042 _let_18041 _let_18040 _let_18039 _let_18038 _let_18037 _let_18036 _let_18035 _let_18034 _let_18033 _let_18032 _let_18031 _let_18030 _let_18029 _let_18028 _let_18027 _let_18026 _let_18025 _let_18024 _let_18023 _let_18022 _let_18021 _let_18020 _let_18019 _let_18018 _let_18017 _let_18016 _let_18015 _let_18014 _let_18013 _let_18012 _let_18011 _let_18010 _let_18009 _let_18008 _let_18007 _let_18006 _let_18005 _let_18004 _let_18003 _let_18002 _let_18001 _let_18000 _let_17999 _let_17998 _let_17997 _let_17996 _let_17995 _let_17994 _let_17993 _let_17992 _let_17991 _let_17990 _let_17989 _let_17988 _let_17987 _let_17986 _let_17985 _let_17984 _let_17983 _let_17982 _let_17981 _let_17980 _let_17979 _let_17978 _let_17977 _let_17976 _let_17975 _let_17974 _let_17973 _let_17972 _let_17971 _let_17970 _let_17969 _let_17968 _let_17967 _let_17966 _let_17965 _let_17964 _let_17963 _let_17962 _let_17961 _let_17960 _let_17959 _let_17958 _let_17957 _let_17956 _let_17955 _let_17954 _let_17953 _let_17952 _let_17951 _let_17950 _let_17949 _let_17948 _let_17947 _let_17946 _let_17945 _let_17944 _let_17943 _let_17942 _let_17941 _let_17940 _let_17939 _let_17938 _let_17937 _let_17936 _let_17935 _let_17934 _let_17933 _let_17932 _let_17931 _let_17930 _let_17929 _let_17928 _let_17927 _let_17926 _let_17925 _let_17924 _let_17923 _let_17922 _let_17921 _let_17920 _let_17919 _let_17918 _let_17917 _let_17916 _let_17915 _let_17914 _let_17913 _let_17912 _let_17911 _let_17910 _let_17909 _let_17908 _let_17907 _let_17906 _let_17905 _let_17904 _let_17903 _let_17902 _let_17901 _let_17900 _let_17899 _let_17898 _let_17897 _let_17896 _let_17895 _let_17894 _let_17893 _let_17892 _let_17891 _let_17890 _let_17889 _let_17888 _let_17887 _let_17886 _let_17885 _let_17884 _let_17883 _let_17882 _let_17881 _let_17880 _let_17879 _let_17878 _let_17877 _let_17876 _let_17875 _let_17874 _let_17873 _let_17872 _let_17871 _let_17870 _let_17869 _let_17868 _let_17867 _let_17866 _let_17865 _let_17864 _let_17863 _let_17862 _let_17861 _let_17860 _let_17859 _let_17858 _let_17857 _let_17856 _let_17855 _let_17854 _let_17853 _let_17852 _let_17851 _let_17850 _let_17849 _let_17848 _let_17847 _let_17846 _let_17845 _let_17844 _let_17843 _let_17842 _let_17841 _let_17840 _let_17839 _let_17838 _let_17837 _let_17836 _let_17835 _let_17834 _let_17833 _let_17832 _let_17831 _let_17830 _let_17829 _let_17828 _let_17827 _let_17826 _let_17825 _let_17824 _let_17823 _let_17822 _let_17821 _let_17820 _let_17819 _let_17818 _let_17817 _let_17816 _let_17815 _let_17814 _let_17813 _let_17812 _let_17811 _let_17810 _let_17809 _let_17808 _let_17807 _let_17806 _let_17805 _let_17804 _let_17803 _let_17802 _let_17801 _let_17800 _let_17799 _let_17798 _let_17797 _let_17796 _let_17795 _let_17794 _let_17793 _let_17792 _let_17791 _let_17790 _let_17789 _let_17788 _let_17787 _let_17786 _let_17785 _let_17784 _let_17783 _let_17782 _let_17781 _let_17780 _let_17779 _let_17778 _let_17777 _let_17776 _let_17775 _let_17774 _let_17773 _let_17772 _let_17771 _let_17770 _let_17769 _let_17768 _let_17767 _let_17766 _let_17765 _let_17764 _let_17763 _let_17762 _let_17761 _let_17760 _let_17759 _let_17758 _let_17757 _let_17756 _let_17755 _let_17754 _let_17753 _let_17752 _let_17751 _let_17750 _let_17749 _let_17748 _let_17747 _let_17746 _let_17745 _let_17744 _let_17743 _let_17742 _let_17741 _let_17740 _let_17739 _let_17738 _let_17737 _let_17736 _let_17735 _let_17734 _let_17733 _let_17732 _let_17731 _let_17730 _let_17729 _let_17728 _let_17727 _let_17726 _let_17725 _let_17724 _let_17723 _let_17722 _let_17721 _let_17720 _let_17719 _let_17718 _let_17717 _let_17716 _let_17715 _let_17714 _let_17713 _let_17712 _let_17711 _let_17710 _let_17709 _let_17708 _let_17707 _let_17706 _let_17705 _let_17704 _let_17703 _let_17702 _let_17701 _let_17700 _let_17699 _let_17698 _let_17697 _let_17696 _let_17695 _let_17694 _let_17693 _let_17692 _let_17691 _let_17690 _let_17689 _let_17688 _let_17687 _let_17686 _let_17685 _let_17684 _let_17683 _let_17682 _let_17681 _let_17680 _let_17679 _let_17678 _let_17677 _let_17676 _let_17675 _let_17674 _let_17673 _let_17672 _let_17671 _let_17670 _let_17669 _let_17668 _let_17667 _let_17666 _let_17665 _let_17664 _let_17663 _let_17662 _let_17661 _let_17660 _let_17659 _let_17658 _let_17657 _let_17656 _let_17655 _let_17654 _let_17653 _let_17652 _let_17651 _let_17650 _let_17649 _let_17648 _let_17647 _let_17646 _let_17645 _let_17644 _let_17643 _let_17642 _let_17641 _let_17640 _let_17639 _let_17638 _let_17637 _let_17636 _let_17635 _let_17634 _let_17633 _let_17632 _let_17631 _let_17630 _let_17629 _let_17628 _let_17627 _let_17626 _let_17625 _let_17624 _let_17623 _let_17622 _let_17621 _let_17620 _let_17619 _let_17618 _let_17617 _let_17616 _let_17615 _let_17614 _let_17613 _let_17612 _let_17611 _let_17610 _let_17609 _let_17608 _let_17607 _let_17606 _let_17605 _let_17604 _let_17603 _let_17602 _let_17601 _let_17600 _let_17599 _let_17598 _let_17597 _let_17596 _let_17595 _let_17594 _let_17593 _let_17592 _let_17591 _let_17590 _let_17589 _let_17588 _let_17587 _let_17586 _let_17585 _let_17584 _let_17583 _let_17582 _let_17581 _let_17580 _let_17579 _let_17578 _let_17577 _let_17576 _let_17575 _let_17574 _let_17573 _let_17572 _let_17571 _let_17570 _let_17569 _let_17568 _let_17567 _let_17566 _let_17565 _let_17564 _let_17563 _let_17562 _let_17561 _let_17560 _let_17559 _let_17558 _let_17557 _let_17556 _let_17555 _let_17554 _let_17553 _let_17552 _let_17551 _let_17550 _let_17549 _let_17548 _let_17547 _let_17546 _let_17545 _let_17544 _let_17543 _let_17542 _let_17541 _let_17540 _let_17539 _let_17538 _let_17537 _let_17536 _let_17535 _let_17534 _let_17533 _let_17532 _let_17531 _let_17530 _let_17529 _let_17528 _let_17527 _let_17526 _let_17525 _let_17524 _let_17523 _let_17522 _let_17521 _let_17520 _let_17519 _let_17518 _let_17517 _let_17516 _let_17515 _let_17514 _let_17513 _let_17512 _let_17511 _let_17510 _let_17509 _let_17508 _let_17507 _let_17506 _let_17505 _let_17504 _let_17503 _let_17502 _let_17501 _let_17500 _let_17499 _let_17498 _let_17497 _let_17496 _let_17495 _let_17494 _let_17493 _let_17492 _let_17491 _let_17490 _let_17489 _let_17488 _let_17487 _let_17486 _let_17485 _let_17484 _let_17483 _let_17482 _let_17481 _let_17480 _let_17479 _let_17478 _let_17477 _let_17476 _let_17475 _let_17474 _let_17473 _let_17472 _let_17471 _let_17470 _let_17469 _let_17468 _let_17467 _let_17466 _let_17465 _let_17464 _let_17463 _let_17462 _let_17461 _let_17460 _let_17459 _let_17458 _let_17457 _let_17456 _let_17455 _let_17454 _let_17453 _let_17452 _let_17451 _let_17450 _let_17449 _let_17448 _let_17447 _let_17446 _let_17445 _let_17444 _let_17443 _let_17442 _let_17441 _let_17440 _let_17439 _let_17438 _let_17437 _let_17436 _let_17435 _let_17434 _let_17433 _let_17432 _let_17431 _let_17430 _let_17429 _let_17428 _let_17427 _let_17426 _let_17425 _let_17424 _let_17423 _let_17422 _let_17421 _let_17420 _let_17419 _let_17418 _let_17417 _let_17416 _let_17415 _let_17414 _let_17413 _let_17412 _let_17411 _let_17410 _let_17409 _let_17408 _let_17407 _let_17406 _let_17405 _let_17404 _let_17403 _let_17402 _let_17401 _let_17400 _let_17399 _let_17398 _let_17397 _let_17396 _let_17395 _let_17394 _let_17393 _let_17392 _let_17391 _let_17390 _let_17389 _let_17388 _let_17387 _let_17386 _let_17385 _let_17384 _let_17383 _let_17382 _let_17381 _let_17380 _let_17379 _let_17378 _let_17377 _let_17376 _let_17375 _let_17374 _let_17373 _let_17372 _let_17371 _let_17370 _let_17369 _let_17368 _let_17367 _let_17366 _let_17365 _let_17364 _let_17363 _let_17362 _let_17361 _let_17360 _let_17359 _let_17358 _let_17357 _let_17356 _let_17355 _let_17354 _let_17353 _let_17352 _let_17351 _let_17350 _let_17349 _let_17348 _let_17347 _let_17346 _let_17345 _let_17344 _let_17343 _let_17342 _let_17341 _let_17340 _let_17339 _let_17338 _let_17337 _let_17336 _let_17335 _let_17334 _let_17333 _let_17332 _let_17331 _let_17330 _let_17329 _let_17328 _let_17327 _let_17326 _let_17325 _let_17324 _let_17323 _let_17322 _let_17321 _let_17320 _let_17319 _let_17318 _let_17317 _let_17316 _let_17315 _let_17314 _let_17313 _let_17312 _let_17311 _let_17310 _let_17309 _let_17308 _let_17307 _let_17306 _let_17305 _let_17304 _let_17303 _let_17302 _let_17301 _let_17300 _let_17299 _let_17298 _let_17297 _let_17296 _let_17295 _let_17294 _let_17293 _let_17292 _let_17291 _let_17290 _let_17289 _let_17288 _let_17287 _let_17286 _let_17285 _let_17284 _let_17283 _let_17282 _let_17281 _let_17280 _let_17279 _let_17278 _let_17277 _let_17276 _let_17275 _let_17274 _let_17273 _let_17272 _let_17271 _let_17270 _let_17269 _let_17268 _let_17267 _let_17266 _let_17265 _let_17264 _let_17263 _let_17262 _let_17261 _let_17260 _let_17259 _let_17258 _let_17257 _let_17256 _let_17255 _let_17254 _let_17253 _let_17252 _let_17251 _let_17250 _let_17249 _let_17248 _let_17247 _let_17246 _let_17245 _let_17244 _let_17243 _let_17242 _let_17241 _let_17240 _let_17239 _let_17238 _let_17237 _let_17236 _let_17235 _let_17234 _let_17233 _let_17232 _let_17231 _let_17230 _let_17229 _let_17228 _let_17227 _let_17226 _let_17225 _let_17224 _let_17223 _let_17222 _let_17221 _let_17220 _let_17219 _let_17218 _let_17217 _let_17216 _let_17215 _let_17214 _let_17213 _let_17212 _let_17211 _let_17210 _let_17209 _let_17208 _let_17207 _let_17206 _let_17205 _let_17204 _let_17203 _let_17202 _let_17201 _let_17200 _let_17199 _let_17198 _let_17197 _let_17196 _let_17195 _let_17194 _let_17193 _let_17192 _let_17191 _let_17190 _let_17189 _let_17188 _let_17187 _let_17186 _let_17185 _let_17184 _let_17183 _let_17182 _let_17181 _let_17180 _let_17179 _let_17178 _let_17177 _let_17176 _let_17175 _let_17174 _let_17173 _let_17172 _let_17171 _let_17170 _let_17169 _let_17168 _let_17167 _let_17166 _let_17165 _let_17164 _let_17163 _let_17162 _let_17161 _let_17160 _let_17159 _let_17158 _let_17157 _let_17156 _let_17155 _let_17154 _let_17153 _let_17152 _let_17151 _let_17150 _let_17149 _let_17148 _let_17147 _let_17146 _let_17145 _let_17144 _let_17143 _let_17142 _let_17141 _let_17140 _let_17139 _let_17138 _let_17137 _let_17136 _let_17135 _let_17134 _let_17133 _let_17132 _let_17131 _let_17130 _let_17129 _let_17128 _let_17127 _let_17126 _let_17125 _let_17124 _let_17123 _let_17122 _let_17121 _let_17120 _let_17119 _let_17118 _let_17117 _let_17116 _let_17115 _let_17114 _let_17113 _let_17112 _let_17111 _let_17110 _let_17109 _let_17108 _let_17107 _let_17106 _let_17105 _let_17104 _let_17103 _let_17102 _let_17101 _let_17100 _let_17099 _let_17098 _let_17097 _let_17096 _let_17095 _let_17094 _let_17093 _let_17092 _let_17091 _let_17090 _let_17089 _let_17088 _let_17087 _let_17086 _let_17085 _let_17084 _let_17083 _let_17082 _let_17081 _let_17080 _let_17079 _let_17078 _let_17077 _let_17076 _let_17075 _let_17074 _let_17073 _let_17072 _let_17071 _let_17070 _let_17069 _let_17068 _let_17067 _let_17066 _let_17065 _let_17064 _let_17063 _let_17062 _let_17061 _let_17060 _let_17059 _let_17058 _let_17057 _let_17056 _let_17055 _let_17054 _let_17053 _let_17052 _let_17051 _let_17050 _let_17049 _let_17048 _let_17047 _let_17046 _let_17045 _let_17044 _let_17043 _let_17042 _let_17041 _let_17040 _let_17039 _let_17038 _let_17037 _let_17036 _let_17035 _let_17034 _let_17033 _let_17032 _let_17031 _let_17030 _let_17029 _let_17028 _let_17027 _let_17026 _let_17025 _let_17024 _let_17023 _let_17022 _let_17021 _let_17020 _let_17019 _let_17018 _let_17017 _let_17016 _let_17015 _let_17014 _let_17013 _let_17012 _let_17011 _let_17010 _let_17009 _let_17008 _let_17007 _let_17006 _let_17005 _let_17004 _let_17003 _let_17002 _let_17001 _let_17000 _let_16999 _let_16998 _let_16997 _let_16996 _let_16995 _let_16994 _let_16993 _let_16992 _let_16991 _let_16990 _let_16989 _let_16988 _let_16987 _let_16986 _let_16985 _let_16984 _let_16983 _let_16982 _let_16981 _let_16980 _let_16979 _let_16978 _let_16977 _let_16976 _let_16975 _let_16974 _let_16973 _let_16972 _let_16971 _let_16970 _let_16969 _let_16968 _let_16967 _let_16966 _let_16965 _let_16964 _let_16963 _let_16962 _let_16961 _let_16960 _let_16959 _let_16958 _let_16957 _let_16956 _let_16955 _let_16954 _let_16953 _let_16952 _let_16951 _let_16950 _let_16949 _let_16948 _let_16947 _let_16946 _let_16945 _let_16944 _let_16943 _let_16942 _let_16941 _let_16940 _let_16939 _let_16938 _let_16937 _let_16936 _let_16935 _let_16934 _let_16933 _let_16932 _let_16931 _let_16930 _let_16929 _let_16928 _let_16927 _let_16926 _let_16925 _let_16924 _let_16923 _let_16922 _let_16921 _let_16920 _let_16919 _let_16918 _let_16917 _let_16916 _let_16915 _let_16914 _let_16913 _let_16912 _let_16911 _let_16910 _let_16909 _let_16908 _let_16907 _let_16906 _let_16905 _let_16904 _let_16903 _let_16902 _let_16901 _let_16900 _let_16899 _let_16898 _let_16897 _let_16896 _let_16895 _let_16894 _let_16893 _let_16892 _let_16891 _let_16890 _let_16889 _let_16888 _let_16887 _let_16886 _let_16885 _let_16884 _let_16883 _let_16882 _let_16881 _let_16880 _let_16879 _let_16878 _let_16877 _let_16876 _let_16875 _let_16874 _let_16873 _let_16872 _let_16871 _let_16870 _let_16869 _let_16868 _let_16867 _let_16866 _let_16865 _let_16864 _let_16863 _let_16862 _let_16861 _let_16860 _let_16859 _let_16858 _let_16857 _let_16856 _let_16855 _let_16854 _let_16853 _let_16852 _let_16851 _let_16850 _let_16849 _let_16848 _let_16847 _let_16846 _let_16845 _let_16844 _let_16843 _let_16842 _let_16841 _let_16840 _let_16839 _let_16838 _let_16837 _let_16836 _let_16835 _let_16834 _let_16833 _let_16832 _let_16831 _let_16830 _let_16829 _let_16828 _let_16827 _let_16826 _let_16825 _let_16824 _let_16823 _let_16822 _let_16821 _let_16820 _let_16819 _let_16818 _let_16817 _let_16816 _let_16815 _let_16814 _let_16813 _let_16812 _let_16811 _let_16810 _let_16809 _let_16808 _let_16807 _let_16806 _let_16805 _let_16804 _let_16803 _let_16802 _let_16801 _let_16800 _let_16799 _let_16798 _let_16797 _let_16796 _let_16795 _let_16794 _let_16793 _let_16792 _let_16791 _let_16790 _let_16789 _let_16788 _let_16787 _let_16786 _let_16785 _let_16784 _let_16783 _let_16782 _let_16781 _let_16780 _let_16779 _let_16778 _let_16777 _let_16776 _let_16775 _let_16774 _let_16773 _let_16772 _let_16771 _let_16770 _let_16769 _let_16768 _let_16767 _let_16766 _let_16765 _let_16764 _let_16763 _let_16762 _let_16761 _let_16760 _let_16759 _let_16758 _let_16757 _let_16756 _let_16755 _let_16754 _let_16753 _let_16752 _let_16751 _let_16750 _let_16749 _let_16748 _let_16747 _let_16746 _let_16745 _let_16744 _let_16743 _let_16742 _let_16741 _let_16740 _let_16739 _let_16738 _let_16737 _let_16736 _let_16735 _let_16734 _let_16733 _let_16732 _let_16731 _let_16730 _let_16729 _let_16728 _let_16727 _let_16726 _let_16725 _let_16724 _let_16723 _let_16722 _let_16721 _let_16720 _let_16719 _let_16718 _let_16717 _let_16716 _let_16715 _let_16714 _let_16713 _let_16712 _let_16711 _let_16710 _let_16709 _let_16708 _let_16707 _let_16706 _let_16705 _let_16704 _let_16703 _let_16702 _let_16701 _let_16700 _let_16699 _let_16698 _let_16697 _let_16696 _let_16695 _let_16694 _let_16693 _let_16692 _let_16691 _let_16690 _let_16689 _let_16688 _let_16687 _let_16686 _let_16685 _let_16684 _let_16683 _let_16682 _let_16681 _let_16680 _let_16679 _let_16678 _let_16677 _let_16676 _let_16675 _let_16674 _let_16673 _let_16672 _let_16671 _let_16670 _let_16669 _let_16668 _let_16667 _let_16666 _let_16665 _let_16664 _let_16663 _let_16662 _let_16661 _let_16660 _let_16659 _let_16658 _let_16657 _let_16656 _let_16655 _let_16654 _let_16653 _let_16652 _let_16651 _let_16650 _let_16649 _let_16648 _let_16647 _let_16646 _let_16645 _let_16644 _let_16643 _let_16642 _let_16641 _let_16640 _let_16639 _let_16638 _let_16637 _let_16636 _let_16635 _let_16634 _let_16633 _let_16632 _let_16631 _let_16630 _let_16629 _let_16628 _let_16627 _let_16626 _let_16625 _let_16624 _let_16623 _let_16622 _let_16621 _let_16620 _let_16619 _let_16618 _let_16617 _let_16616 _let_16615 _let_16614 _let_16613 _let_16612 _let_16611 _let_16610 _let_16609 _let_16608 _let_16607 _let_16606 _let_16605 _let_16604 _let_16603 _let_16602 _let_16601 _let_16600 _let_16599 _let_16598 _let_16597 _let_16596 _let_16595 _let_16594 _let_16593 _let_16592 _let_16591 _let_16590 _let_16589 _let_16588 _let_16587 _let_16586 _let_16585 _let_16584 _let_16583 _let_16582 _let_16581 _let_16580 _let_16579 _let_16578 _let_16577 _let_16576 _let_16575 _let_16574 _let_16573 _let_16572 _let_16571 _let_16570 _let_16569 _let_16568 _let_16567 _let_16566 _let_16565 _let_16564 _let_16563 _let_16562 _let_16561 _let_16560 _let_16559 _let_16558 _let_16557 _let_16556 _let_16555 _let_16554 _let_16553 _let_16552 _let_16551 _let_16550 _let_16549 _let_16548 _let_16547 _let_16546 _let_16545 _let_16544 _let_16543 _let_16542 _let_16541 _let_16540 _let_16539 _let_16538 _let_16537 _let_16536 _let_16535 _let_16534 _let_16533 _let_16532 _let_16531 _let_16530 _let_16529 _let_16528 _let_16527 _let_16526 _let_16525 _let_16524 _let_16523 _let_16522 _let_16521 _let_16520 _let_16519 _let_16518 _let_16517 _let_16516 _let_16515 _let_16514 _let_16513 _let_16512 _let_16511 _let_16510 _let_16509 _let_16508 _let_16507 _let_16506 _let_16505 _let_16504 _let_16503 _let_16502 _let_16501 _let_16500 _let_16499 _let_16498 _let_16497 _let_16496 _let_16495 _let_16494 _let_16493 _let_16492 _let_16491 _let_16490 _let_16489 _let_16488 _let_16487 _let_16486 _let_16485 _let_16484 _let_16483 _let_16482 _let_16481 _let_16480 _let_16479 _let_16478 _let_16477 _let_16476 _let_16475 _let_16474 _let_16473 _let_16472 _let_16471 _let_16470 _let_16469 _let_16468 _let_16467 _let_16466 _let_16465 _let_16464 _let_16463 _let_16462 _let_16461 _let_16460 _let_16459 _let_16458 _let_16457 _let_16456 _let_16455 _let_16454 _let_16453 _let_16452 _let_16451 _let_16450 _let_16449 _let_16448 _let_16447 _let_16446 _let_16445 _let_16444 _let_16443 _let_16442 _let_16441 _let_16440 _let_16439 _let_16438 _let_16437 _let_16436 _let_16435 _let_16434 _let_16433 _let_16432 _let_16431 _let_16430 _let_16429 _let_16428 _let_16427 _let_16426 _let_16425 _let_16424 _let_16423 _let_16422 _let_16421 _let_16420 _let_16419 _let_16418 _let_16417 _let_16416 _let_16415 _let_16414 _let_16413 _let_16412 _let_16411 _let_16410 _let_16409 _let_16408 _let_16407 _let_16406 _let_16405 _let_16404 _let_16403 _let_16402 _let_16401 _let_16400 _let_16399 _let_16398 _let_16397 _let_16396 _let_16395 _let_16394 _let_16393 _let_16392 _let_16391 _let_16390 _let_16389 _let_16388 _let_16387 _let_16386 _let_16385 _let_16384 _let_16383 _let_16382 _let_16381 _let_16380 _let_16379 _let_16378 _let_16377 _let_16376 _let_16375 _let_16374 _let_16373 _let_16372 _let_16371 _let_16370 _let_16369 _let_16368 _let_16367 _let_16366 _let_16365 _let_16364 _let_16363 _let_16362 _let_16361 _let_16360 _let_16359 _let_16358 _let_16357 _let_16356 _let_16355 _let_16354 _let_16353 _let_16352 _let_16351 _let_16350 _let_16349 _let_16348 _let_16347 _let_16346 _let_16345 _let_16344 _let_16343 _let_16342 _let_16341 _let_16340 _let_16339 _let_16338 _let_16337 _let_16336 _let_16335 _let_16334 _let_16333 _let_16332 _let_16331 _let_16330 _let_16329 _let_16328 _let_16327 _let_16326 _let_16325 _let_16324 _let_16323 _let_16322 _let_16321 _let_16320 _let_16319 _let_16318 _let_16317 _let_16316 _let_16315 _let_16314 _let_16313 _let_16312 _let_16311 _let_16310 _let_16309 _let_16308 _let_16307 _let_16306 _let_16305 _let_16304 _let_16303 _let_16302 _let_16301 _let_16300 _let_16299 _let_16298 _let_16297 _let_16296 _let_16295 _let_16294 _let_16293 _let_16292 _let_16291 _let_16290 _let_16289 _let_16288 _let_16287 _let_16286 _let_16285 _let_16284 _let_16283 _let_16282 _let_16281 _let_16280 _let_16279 _let_16278 _let_16277 _let_16276 _let_16275 _let_16274 _let_16273 _let_16272 _let_16271 _let_16270 _let_16269 _let_16268 _let_16267 _let_16266 _let_16265 _let_16264 _let_16263 _let_16262 _let_16261 _let_16260 _let_16259 _let_16258 _let_16257 _let_16256 _let_16255 _let_16254 _let_16253 _let_16252 _let_16251 _let_16250 _let_16249 _let_16248 _let_16247 _let_16246 _let_16245 _let_16244 _let_16243 _let_16242 _let_16241 _let_16240 _let_16239 _let_16238 _let_16237 _let_16236 _let_16235 _let_16234 _let_16233 _let_16232 _let_16231 _let_16230 _let_16229 _let_16228 _let_16227 _let_16226 _let_16225 _let_16224 _let_16223 _let_16222 _let_16221 _let_16220 _let_16219 _let_16218 _let_16217 _let_16216 _let_16215 _let_16214 _let_16213 _let_16212 _let_16211 _let_16210 _let_16209 _let_16208 _let_16207 _let_16206 _let_16205 _let_16204 _let_16203 _let_16202 _let_16201 _let_16200 _let_16199 _let_16198 _let_16197 _let_16196 _let_16195 _let_16194 _let_16193 _let_16192 _let_16191 _let_16190 _let_16189 _let_16188 _let_16187 _let_16186 _let_16185 _let_16184 _let_16183 _let_16182 _let_16181 _let_16180 _let_16179 _let_16178 _let_16177 _let_16176 _let_16175 _let_16174 _let_16173 _let_16172 _let_16171 _let_16170 _let_16169 _let_16168 _let_16167 _let_16166 _let_16165 _let_16164 _let_16163 _let_16162 _let_16161 _let_16160 _let_16159 _let_16158 _let_16157 _let_16156 _let_16155 _let_16154 _let_16153 _let_16152 _let_16151 _let_16150 _let_16149 _let_16148 _let_16147 _let_16146 _let_16145 _let_16144 _let_16143 _let_16142 _let_16141 _let_16140 _let_16139 _let_16138 _let_16137 _let_16136 _let_16135 _let_16134 _let_16133 _let_16132 _let_16131 _let_16130 _let_16129 _let_16128 _let_16127 _let_16126 _let_16125 _let_16124 _let_16123 _let_16122 _let_16121 _let_16120 _let_16119 _let_16118 _let_16117 _let_16116 _let_16115 _let_16114 _let_16113 _let_16112 _let_16111 _let_16110 _let_16109 _let_16108 _let_16107 _let_16106 _let_16105 _let_16104 _let_16103 _let_16102 _let_16101 _let_16100 _let_16099 _let_16098 _let_16097 _let_16096 _let_16095 _let_16094 _let_16093 _let_16092 _let_16091 _let_16090 _let_16089 _let_16088 _let_16087 _let_16086 _let_16085 _let_16084 _let_16083 _let_16082 _let_16081 _let_16080 _let_16079 _let_16078 _let_16077 _let_16076 _let_16075 _let_16074 _let_16073 _let_16072 _let_16071 _let_16070 _let_16069 _let_16068 _let_16067 _let_16066 _let_16065 _let_16064 _let_16063 _let_16062 _let_16061 _let_16060 _let_16059 _let_16058 _let_16057 _let_16056 _let_16055 _let_16054 _let_16053 _let_16052 _let_16051 _let_16050 _let_16049 _let_16048 _let_16047 _let_16046 _let_16045 _let_16044 _let_16043 _let_16042 _let_16041 _let_16040 _let_16039 _let_16038 _let_16037 _let_16036 _let_16035 _let_16034 _let_16033 _let_16032 _let_16031 _let_16030 _let_16029 _let_16028 _let_16027 _let_16026 _let_16025 _let_16024 _let_16023 _let_16022 _let_16021 _let_16020 _let_16019 _let_16018 _let_16017 _let_16016 _let_16015 _let_16014 _let_16013 _let_16012 _let_16011 _let_16010 _let_16009 _let_16008 _let_16007 _let_16006 _let_16005 _let_16004 _let_16003 _let_16002 _let_16001 _let_16000 _let_15999 _let_15998 _let_15997 _let_15996 _let_15995 _let_15994 _let_15993 _let_15992 _let_15991 _let_15990 _let_15989 _let_15988 _let_15987 _let_15986 _let_15985 _let_15984 _let_15983 _let_15982 _let_15981 _let_15980 _let_15979 _let_15978 _let_15977 _let_15976 _let_15975 _let_15974 _let_15973 _let_15972 _let_15971 _let_15970 _let_15969 _let_15968 _let_15967 _let_15966 _let_15965 _let_15964 _let_15963 _let_15962 _let_15961 _let_15960 _let_15959 _let_15958 _let_15957 _let_15956 _let_15955 _let_15954 _let_15953 _let_15952 _let_15951 _let_15950 _let_15949 _let_15948 _let_15947 _let_15946 _let_15945 _let_15944 _let_15943 _let_15942 _let_15941 _let_15940 _let_15939 _let_15938 _let_15937 _let_15936 _let_15935 _let_15934 _let_15933 _let_15932 _let_15931 _let_15930 _let_15929 _let_15928 _let_15927 _let_15926 _let_15925 _let_15924 _let_15923 _let_15922 _let_15921 _let_15920 _let_15919 _let_15918 _let_15917 _let_15916 _let_15915 _let_15914 _let_15913 _let_15912 _let_15911 _let_15910 _let_15909 _let_15908 _let_15907 _let_15906 _let_15905 _let_15904 _let_15903 _let_15902 _let_15901 _let_15900 _let_15899 _let_15898 _let_15897 _let_15896 _let_15895 _let_15894 _let_15893 _let_15892 _let_15891 _let_15890 _let_15889 _let_15888 _let_15887 _let_15886 _let_15885 _let_15884 _let_15883 _let_15882 _let_15881 _let_15880 _let_15879 _let_15878 _let_15877 _let_15876 _let_15875 _let_15874 _let_15873 _let_15872 _let_15871 _let_15870 _let_15869 _let_15868 _let_15867 _let_15866 _let_15865 _let_15864 _let_15863 _let_15862 _let_15861 _let_15860 _let_15859 _let_15858 _let_15857 _let_15856 _let_15855 _let_15854 _let_15853 _let_15852 _let_15851 _let_15850 _let_15849 _let_15848 _let_15847 _let_15846 _let_15845 _let_15844 _let_15843 _let_15842 _let_15841 _let_15840 _let_15839 _let_15838 _let_15837 _let_15836 _let_15835 _let_15834 _let_15833 _let_15832 _let_15831 _let_15830 _let_15829 _let_15828 _let_15827 _let_15826 _let_15825 _let_15824 _let_15823 _let_15822 _let_15821 _let_15820 _let_15819 _let_15818 _let_15817 _let_15816 _let_15815 _let_15814 _let_15813 _let_15812 _let_15811 _let_15810 _let_15809 _let_15808 _let_15807 _let_15806 _let_15805 _let_15804 _let_15803 _let_15802 _let_15801 _let_15800 _let_15799 _let_15798 _let_15797 _let_15796 _let_15795 _let_15794 _let_15793 _let_15792 _let_15791 _let_15790 _let_15789 _let_15788 _let_15787 _let_15786 _let_15785 _let_15784 _let_15783 _let_15782 _let_15781 _let_15780 _let_15779 _let_15778 _let_15777 _let_15776 _let_15775 _let_15774 _let_15773 _let_15772 _let_15771 _let_15770 _let_15769 _let_15768 _let_15767 _let_15766 _let_15765 _let_15764 _let_15763 _let_15762 _let_15761 _let_15760 _let_15759 _let_15758 _let_15757 _let_15756 _let_15755 _let_15754 _let_15753 _let_15752 _let_15751 _let_15750 _let_15749 _let_15748 _let_15747 _let_15746 _let_15745 _let_15744 _let_15743 _let_15742 _let_15741 _let_15740 _let_15739 _let_15738 _let_15737 _let_15736 _let_15735 _let_15734 _let_15733 _let_15732 _let_15731 _let_15730 _let_15729 _let_15728 _let_15727 _let_15726 _let_15725 _let_15724 _let_15723 _let_15722 _let_15721 _let_15720 _let_15719 _let_15718 _let_15717 _let_15716 _let_15715 _let_15714 _let_15713 _let_15712 _let_15711 _let_15710 _let_15709 _let_15708 _let_15707 _let_15706 _let_15705 _let_15704 _let_15703 _let_15702 _let_15701 _let_15700 _let_15699 _let_15698 _let_15697 _let_15696 _let_15695 _let_15694 _let_15693 _let_15692 _let_15691 _let_15690 _let_15689 _let_15688 _let_15687 _let_15686 _let_15685 _let_15684 _let_15683 _let_15682 _let_15681 _let_15680 _let_15679 _let_15678 _let_15677 _let_15676 _let_15675 _let_15674 _let_15673 _let_15672 _let_15671 _let_15670 _let_15669 _let_15668 _let_15667 _let_15666 _let_15665 _let_15664 _let_15663 _let_15662 _let_15661 _let_15660 _let_15659 _let_15658 _let_15657 _let_15656 _let_15655 _let_15654 _let_15653 _let_15652 _let_15651 _let_15650 _let_15649 _let_15648 _let_15647 _let_15646 _let_15645 _let_15644 _let_15643 _let_15642 _let_15641 _let_15640 _let_15639 _let_15638 _let_15637 _let_15636 _let_15635 _let_15634 _let_15633 _let_15632 _let_15631 _let_15630 _let_15629 _let_15628 _let_15627 _let_15626 _let_15625 _let_15624 _let_15623 _let_15622 _let_15621 _let_15620 _let_15619 _let_15618 _let_15617 _let_15616 _let_15615 _let_15614 _let_15613 _let_15612 _let_15611 _let_15610 _let_15609 _let_15608 _let_15607 _let_15606 _let_15605 _let_15604 _let_15603 _let_15602 _let_15601 _let_15600 _let_15599 _let_15598 _let_15597 _let_15596 _let_15595 _let_15594 _let_15593 _let_15592 _let_15591 _let_15590 _let_15589 _let_15588 _let_15587 _let_15586 _let_15585 _let_15584 _let_15583 _let_15582 _let_15581 _let_15580 _let_15579 _let_15578 _let_15577 _let_15576 _let_15575 _let_15574 _let_15573 _let_15572 _let_15571 _let_15570 _let_15569 _let_15568 _let_15567 _let_15566 _let_15565 _let_15564 _let_15563 _let_15562 _let_15561 _let_15560 _let_15559 _let_15558 _let_15557 _let_15556 _let_15555 _let_15554 _let_15553 _let_15552 _let_15551 _let_15550 _let_15549 _let_15548 _let_15547 _let_15546 _let_15545 _let_15544 _let_15543 _let_15542 _let_15541 _let_15540 _let_15539 _let_15538 _let_15537 _let_15536 _let_15535 _let_15534 _let_15533 _let_15532 _let_15531 _let_15530 _let_15529 _let_15528 _let_15527 _let_15526 _let_15525 _let_15524 _let_15523 _let_15522 _let_15521 _let_15520 _let_15519 _let_15518 _let_15517 _let_15516 _let_15515 _let_15514 _let_15513 _let_15512 _let_15511 _let_15510 _let_15509 _let_15508 _let_15507 _let_15506 _let_15505 _let_15504 _let_15503 _let_15502 _let_15501 _let_15500 _let_15499 _let_15498 _let_15497 _let_15496 _let_15495 _let_15494 _let_15493 _let_15492 _let_15491 _let_15490 _let_15489 _let_15488 _let_15487 _let_15486 _let_15485 _let_15484 _let_15483 _let_15482 _let_15481))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_298)) (TRANS (MACRO_SR_EQ_INTRO _let_577 :args (_let_298 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (=> (= tptp.r (@ _let_212 _let_297)) (not (= tptp.h2 (@ _let_210 _let_297)))) _let_19969))))) (PREPROCESS :args ((and _let_19968 _let_19967 _let_19966 _let_19965 _let_19964 _let_19963 _let_19962 _let_19961 _let_19960 _let_19959 _let_19958 _let_19957 _let_19956 _let_19955 _let_19954 _let_19953 _let_19952 _let_19951 _let_19950 _let_19949 _let_19948 _let_19947 _let_19946 _let_19945 _let_19944 _let_19943 _let_19942 _let_19941 _let_19940 _let_19939 _let_19938 _let_19937 _let_19936 _let_19935 _let_19934 _let_19933 _let_19932 _let_19931 _let_19930 _let_19929 _let_19928 _let_19927 _let_19926 _let_19925 _let_19924 _let_19923 _let_19922 _let_19921 _let_19920 _let_19919 _let_19918 _let_19917 _let_19916 _let_19915 _let_19914 _let_19913 _let_19912 _let_19911 _let_19910 _let_19909 _let_19908 _let_19907 _let_19906 _let_19905 _let_19904 _let_19903 _let_19902 _let_19901 _let_19900 _let_19899 _let_19898 _let_19897 _let_19896 _let_19895 _let_19894 _let_19893 _let_19892 _let_19891 _let_19890 _let_19889 _let_19888 _let_19887 _let_19886 _let_19885 _let_19884 _let_19883 _let_19882 _let_19881 _let_19880 _let_19879 _let_19878 _let_19877 _let_19876 _let_19875 _let_19874 _let_19873 _let_19872 _let_19871 _let_19870 _let_19869 _let_19868 _let_19867 _let_19866 _let_19865 _let_19864 _let_19863 _let_19862 _let_19861 _let_19860 _let_19859 _let_19858 _let_19857 _let_19856 _let_19855 _let_19854 _let_19853 _let_19852 _let_19851 _let_19850 _let_19849 _let_19848 _let_19847 _let_19846 _let_19845 _let_19844 _let_19843 _let_19842 _let_19841 _let_19840 _let_19839 _let_19838 _let_19837 _let_19836 _let_19835 _let_19834 _let_19833 _let_19832 _let_19831 _let_19830 _let_19829 _let_19828 _let_19827 _let_19826 _let_19825 _let_19824 _let_19823 _let_19822 _let_19821 _let_19820 _let_19819 _let_19818 _let_19817 _let_19816 _let_19815 _let_19814 _let_19813 _let_19812 _let_19811 _let_19810 _let_19809 _let_19808 _let_19807 _let_19806 _let_19805 _let_19804 _let_19803 _let_19802 _let_19801 _let_19800 _let_19799 _let_19798 _let_19797 _let_19796 _let_19795 _let_19794 _let_19793 _let_19792 _let_19791 _let_19790 _let_19789 _let_19788 _let_19787 _let_19786 _let_19785 _let_19784 _let_19783 _let_19782 _let_19781 _let_19780 _let_19779 _let_19778 _let_19777 _let_19776 _let_19775 _let_19774 _let_19773 _let_19772 _let_19771 _let_19770 _let_19769 _let_19768 _let_19767 _let_19766 _let_19765 _let_19764 _let_19763 _let_19762 _let_19761 _let_19760 _let_19759 _let_19758 _let_19757 _let_19756 _let_19755 _let_19754 _let_19753 _let_19752 _let_19751 _let_19750 _let_19749 _let_19748 _let_19747 _let_19746 _let_19745 _let_19744 _let_19743 _let_19742 _let_19741 _let_19740 _let_19739 _let_19738 _let_19737 _let_19736 _let_19735 _let_19734 _let_19733 _let_19732 _let_19731 _let_19730 _let_19729 _let_19728 _let_19727 _let_19726 _let_19725 _let_19724 _let_19723 _let_19722 _let_19721 _let_19720 _let_19719 _let_19718 _let_19717 _let_19716 _let_19715 _let_19714 _let_19713 _let_19712 _let_19711 _let_19710 _let_19709 _let_19708 _let_19707 _let_19706 _let_19705 _let_19704 _let_19703 _let_19702 _let_19701 _let_19700 _let_19699 _let_19698 _let_19697 _let_19696 _let_19695 _let_19694 _let_19693 _let_19692 _let_19691 _let_19690 _let_19689 _let_19688 _let_19687 _let_19686 _let_19685 _let_19684 _let_19683 _let_19682 _let_19681 _let_19680 _let_19679 _let_19678 _let_19677 _let_19676 _let_19675 _let_19674 _let_19673 _let_19672 _let_19671 _let_19670 _let_19669 _let_19668 _let_19667 _let_19666 _let_19665 _let_19664 _let_19663 _let_19662 _let_19661 _let_19660 _let_19659 _let_19658 _let_19657 _let_19656 _let_19655 _let_19654 _let_19653 _let_19652 _let_19651 _let_19650 _let_19649 _let_19648 _let_19647 _let_19646 _let_19645 _let_19644 _let_19643 _let_19642 _let_19641 _let_19640 _let_19639 _let_19638 _let_19637 _let_19636 _let_19635 _let_19634 _let_19633 _let_19632 _let_19631 _let_19630 _let_19629 _let_19628 _let_19627 _let_19626 _let_19625 _let_19624 _let_19623 _let_19622 _let_19621 _let_19620 _let_19619 _let_19618 _let_19617 _let_19616 _let_19615 _let_19614 _let_19613 _let_19612 _let_19611 _let_19610 _let_19609 _let_19608 _let_19607 _let_19606 _let_19605 _let_19604 _let_19603 _let_19602 _let_19601 _let_19600 _let_19599 _let_19598 _let_19597 _let_19596 _let_19595 _let_19594 _let_19593 _let_19592 _let_19591 _let_19590 _let_19589 _let_19588 _let_19587 _let_19586 _let_19585 _let_19584 _let_19583 _let_19582 _let_19581 _let_19580 _let_19579 _let_19578 _let_19577 _let_19576 _let_19575 _let_19574 _let_19573 _let_19572 _let_19571 _let_19570 _let_19569 _let_19568 _let_19567 _let_19566 _let_19565 _let_19564 _let_19563 _let_19562 _let_19561 _let_19560 _let_19559 _let_19558 _let_19557 _let_19556 _let_19555 _let_19554 _let_19553 _let_19552 _let_19551 _let_19550 _let_19549 _let_19548 _let_19547 _let_19546 _let_19545 _let_19544 _let_19543 _let_19542 _let_19541 _let_19540 _let_19539 _let_19538 _let_19537 _let_19536 _let_19535 _let_19534 _let_19533 _let_19532 _let_19531 _let_19530 _let_19529 _let_19528 _let_19527 _let_19526 _let_19525 _let_19524 _let_19523 _let_19522 _let_19521 _let_19520 _let_19519 _let_19518 _let_19517 _let_19516 _let_19515 _let_19514 _let_19513 _let_19512 _let_19511 _let_19510 _let_19509 _let_19508 _let_19507 _let_19506 _let_19505 _let_19504 _let_19503 _let_19502 _let_19501 _let_19500 _let_19499 _let_19498 _let_19497 _let_19496 _let_19495 _let_19494 _let_19493 _let_19492 _let_19491 _let_19490 _let_19489 _let_19488 _let_19487 _let_19486 _let_19485 _let_19484 _let_19483 _let_19482 _let_19481 _let_19480 _let_19479 _let_19478 _let_19477 _let_19476 _let_19475 _let_19474 _let_19473 _let_19472 _let_19471 _let_19470 _let_19469 _let_19468 _let_19467 _let_19466 _let_19465 _let_19464 _let_19463 _let_19462 _let_19461 _let_19460 _let_19459 _let_19458 _let_19457 _let_19456 _let_19455 _let_19454 _let_19453 _let_19452 _let_19451 _let_19450 _let_19449 _let_19448 _let_19447 _let_19446 _let_19445 _let_19444 _let_19443 _let_19442 _let_19441 _let_19440 _let_19439 _let_19438 _let_19437 _let_19436 _let_19435 _let_19434 _let_19433 _let_19432 _let_19431 _let_19430 _let_19429 _let_19428 _let_19427 _let_19426 _let_19425 _let_19424 _let_19423 _let_19422 _let_19421 _let_19420 _let_19419 _let_19418 _let_19417 _let_19416 _let_19415 _let_19414 _let_19413 _let_19412 _let_19411 _let_19410 _let_19409 _let_19408 _let_19407 _let_19406 _let_19405 _let_19404 _let_19403 _let_19402 _let_19401 _let_19400 _let_19399 _let_19398 _let_19397 _let_19396 _let_19395 _let_19394 _let_19393 _let_19392 _let_19391 _let_19390 _let_19389 _let_19388 _let_19387 _let_19386 _let_19385 _let_19384 _let_19383 _let_19382 _let_19381 _let_19380 _let_19379 _let_19378 _let_19377 _let_19376 _let_19375 _let_19374 _let_19373 _let_19372 _let_19371 _let_19370 _let_19369 _let_19368 _let_19367 _let_19366 _let_19365 _let_19364 _let_19363 _let_19362 _let_19361 _let_19360 _let_19359 _let_19358 _let_19357 _let_19356 _let_19355 _let_19354 _let_19353 _let_19352 _let_19351 _let_19350 _let_19349 _let_19348 _let_19347 _let_19346 _let_19345 _let_19344 _let_19343 _let_19342 _let_19341 _let_19340 _let_19339 _let_19338 _let_19337 _let_19336 _let_19335 _let_19334 _let_19333 _let_19332 _let_19331 _let_19330 _let_19329 _let_19328 _let_19327 _let_19326 _let_19325 _let_19324 _let_19323 _let_19322 _let_19321 _let_19320 _let_19319 _let_19318 _let_19317 _let_19316 _let_19315 _let_19314 _let_19313 _let_19312 _let_19311 _let_19310 _let_19309 _let_19308 _let_19307 _let_19306 _let_19305 _let_19304 _let_19303 _let_19302 _let_19301 _let_19300 _let_19299 _let_19298 _let_19297 _let_19296 _let_19295 _let_19294 _let_19293 _let_19292 _let_19291 _let_19290 _let_19289 _let_19288 _let_19287 _let_19286 _let_19285 _let_19284 _let_19283 _let_19282 _let_19281 _let_19280 _let_19279 _let_19278 _let_19277 _let_19276 _let_19275 _let_19274 _let_19273 _let_19272 _let_19271 _let_19270 _let_19269 _let_19268 _let_19267 _let_19266 _let_19265 _let_19264 _let_19263 _let_19262 _let_19261 _let_19260 _let_19259 _let_19258 _let_19257 _let_19256 _let_19255 _let_19254 _let_19253 _let_19252 _let_19251 _let_19250 _let_19249 _let_19248 _let_19247 _let_19246 _let_19245 _let_19244 _let_19243 _let_19242 _let_19241 _let_19240 _let_19239 _let_19238 _let_19237 _let_19236 _let_19235 _let_19234 _let_19233 _let_19232 _let_19231 _let_19230 _let_19229 _let_19228 _let_19227 _let_19226 _let_19225 _let_19224 _let_19223 _let_19222 _let_19221 _let_19220 _let_19219 _let_19218 _let_19217 _let_19216 _let_19215 _let_19214 _let_19213 _let_19212 _let_19211 _let_19210 _let_19209 _let_19208 _let_19207 _let_19206 _let_19205 _let_19204 _let_19203 _let_19202 _let_19201 _let_19200 _let_19199 _let_19198 _let_19197 _let_19196 _let_19195 _let_19194 _let_19193 _let_19192 _let_19191 _let_19190 _let_19189 _let_19188 _let_19187 _let_19186 _let_19185 _let_19184 _let_19183 _let_19182 _let_19181 _let_19180 _let_19179 _let_19178 _let_19177 _let_19176 _let_19175 _let_19174 _let_19173 _let_19172 _let_19171 _let_19170 _let_19169 _let_19168 _let_19167 _let_19166 _let_19165 _let_19164 _let_19163 _let_19162 _let_19161 _let_19160 _let_19159 _let_19158 _let_19157 _let_19156 _let_19155 _let_19154 _let_19153 _let_19152 _let_19151 _let_19150 _let_19149 _let_19148 _let_19147 _let_19146 _let_19145 _let_19144 _let_19143 _let_19142 _let_19141 _let_19140 _let_19139 _let_19138 _let_19137 _let_19136 _let_19135 _let_19134 _let_19133 _let_19132 _let_19131 _let_19130 _let_19129 _let_19128 _let_19127 _let_19126 _let_19125 _let_19124 _let_19123 _let_19122 _let_19121 _let_19120 _let_19119 _let_19118 _let_19117 _let_19116 _let_19115 _let_19114 _let_19113 _let_19112 _let_19111 _let_19110 _let_19109 _let_19108 _let_19107 _let_19106 _let_19105 _let_19104 _let_19103 _let_19102 _let_19101 _let_19100 _let_19099 _let_19098 _let_19097 _let_19096 _let_19095 _let_19094 _let_19093 _let_19092 _let_19091 _let_19090 _let_19089 _let_19088 _let_19087 _let_19086 _let_19085 _let_19084 _let_19083 _let_19082 _let_19081 _let_19080 _let_19079 _let_19078 _let_19077 _let_19076 _let_19075 _let_19074 _let_19073 _let_19072 _let_19071 _let_19070 _let_19069 _let_19068 _let_19067 _let_19066 _let_19065 _let_19064 _let_19063 _let_19062 _let_19061 _let_19060 _let_19059 _let_19058 _let_19057 _let_19056 _let_19055 _let_19054 _let_19053 _let_19052 _let_19051 _let_19050 _let_19049 _let_19048 _let_19047 _let_19046 _let_19045 _let_19044 _let_19043 _let_19042 _let_19041 _let_19040 _let_19039 _let_19038 _let_19037 _let_19036 _let_19035 _let_19034 _let_19033 _let_19032 _let_19031 _let_19030 _let_19029 _let_19028 _let_19027 _let_19026 _let_19025 _let_19024 _let_19023 _let_19022 _let_19021 _let_19020 _let_19019 _let_19018 _let_19017 _let_19016 _let_19015 _let_19014 _let_19013 _let_19012 _let_19011 _let_19010 _let_19009 _let_19008 _let_19007 _let_19006 _let_19005 _let_19004 _let_19003 _let_19002 _let_19001 _let_19000 _let_18999 _let_18998 _let_18997 _let_18996 _let_18995 _let_18994 _let_18993 _let_18992 _let_18991 _let_18990 _let_18989 _let_18988 _let_18987 _let_18986 _let_18985 _let_18984 _let_18983 _let_18982 _let_18981 _let_18980 _let_18979 _let_18978 _let_18977 _let_18976 _let_18975 _let_18974 _let_18973 _let_18972 _let_18971 _let_18970 _let_18969 _let_18968 _let_18967 _let_18966 _let_18965 _let_18964 _let_18963 _let_18962 _let_18961 _let_18960 _let_18959 _let_18958 _let_18957 _let_18956 _let_18955 _let_18954 _let_18953 _let_18952 _let_18951 _let_18950 _let_18949 _let_18948 _let_18947 _let_18946 _let_18945 _let_18944 _let_18943 _let_18942 _let_18941 _let_18940 _let_18939 _let_18938 _let_18937 _let_18936 _let_18935 _let_18934 _let_18933 _let_18932 _let_18931 _let_18930 _let_18929 _let_18928 _let_18927 _let_18926 _let_18925 _let_18924 _let_18923 _let_18922 _let_18921 _let_18920 _let_18919 _let_18918 _let_18917 _let_18916 _let_18915 _let_18914 _let_18913 _let_18912 _let_18911 _let_18910 _let_18909 _let_18908 _let_18907 _let_18906 _let_18905 _let_18904 _let_18903 _let_18902 _let_18901 _let_18900 _let_18899 _let_18898 _let_18897 _let_18896 _let_18895 _let_18894 _let_18893 _let_18892 _let_18891 _let_18890 _let_18889 _let_18888 _let_18887 _let_18886 _let_18885 _let_18884 _let_18883 _let_18882 _let_18881 _let_18880 _let_18879 _let_18878 _let_18877 _let_18876 _let_18875 _let_18874 _let_18873 _let_18872 _let_18871 _let_18870 _let_18869 _let_18868 _let_18867 _let_18866 _let_18865 _let_18864 _let_18863 _let_18862 _let_18861 _let_18860 _let_18859 _let_18858 _let_18857 _let_18856 _let_18855 _let_18854 _let_18853 _let_18852 _let_18851 _let_18850 _let_18849 _let_18848 _let_18847 _let_18846 _let_18845 _let_18844 _let_18843 _let_18842 _let_18841 _let_18840 _let_18839 _let_18838 _let_18837 _let_18836 _let_18835 _let_18834 _let_18833 _let_18832 _let_18831 _let_18830 _let_18829 _let_18828 _let_18827 _let_18826 _let_18825 _let_18824 _let_18823 _let_18822 _let_18821 _let_18820 _let_18819 _let_18818 _let_18817 _let_18816 _let_18815 _let_18814 _let_18813 _let_18812 _let_18811 _let_18810 _let_18809 _let_18808 _let_18807 _let_18806 _let_18805 _let_18804 _let_18803 _let_18802 _let_18801 _let_18800 _let_18799 _let_18798 _let_18797 _let_18796 _let_18795 _let_18794 _let_18793 _let_18792 _let_18791 _let_18790 _let_18789 _let_18788 _let_18787 _let_18786 _let_18785 _let_18784 _let_18783 _let_18782 _let_18781 _let_18780 _let_18779 _let_18778 _let_18777 _let_18776 _let_18775 _let_18774 _let_18773 _let_18772 _let_18771 _let_18770 _let_18769 _let_18768 _let_18767 _let_18766 _let_18765 _let_18764 _let_18763 _let_18762 _let_18761 _let_18760 _let_18759 _let_18758 _let_18757 _let_18756 _let_18755 _let_18754 _let_18753 _let_18752 _let_18751 _let_18750 _let_18749 _let_18748 _let_18747 _let_18746 _let_18745 _let_18744 _let_18743 _let_18742 _let_18741 _let_18740 _let_18739 _let_18738 _let_18737 _let_18736 _let_18735 _let_18734 _let_18733 _let_18732 _let_18731 _let_18730 _let_18729 _let_18728 _let_18727 _let_18726 _let_18725 _let_18724 _let_18723 _let_18722 _let_18721 _let_18720 _let_18719 _let_18718 _let_18717 _let_18716 _let_18715 _let_18714 _let_18713 _let_18712 _let_18711 _let_18710 _let_18709 _let_18708 _let_18707 _let_18706 _let_18705 _let_18704 _let_18703 _let_18702 _let_18701 _let_18700 _let_18699 _let_18698 _let_18697 _let_18696 _let_18695 _let_18694 _let_18693 _let_18692 _let_18691 _let_18690 _let_18689 _let_18688 _let_18687 _let_18686 _let_18685 _let_18684 _let_18683 _let_18682 _let_18681 _let_18680 _let_18679 _let_18678 _let_18677 _let_18676 _let_18675 _let_18674 _let_18673 _let_18672 _let_18671 _let_18670 _let_18669 _let_18668 _let_18667 _let_18666 _let_18665 _let_18664 _let_18663 _let_18662 _let_18661 _let_18660 _let_18659 _let_18658 _let_18657 _let_18656 _let_18655 _let_18654 _let_18653 _let_18652 _let_18651 _let_18650 _let_18649 _let_18648 _let_18647 _let_18646 _let_18645 _let_18644 _let_18643 _let_18642 _let_18641 _let_18640 _let_18639 _let_18638 _let_18637 _let_18636 _let_18635 _let_18634 _let_18633 _let_18632 _let_18631 _let_18630 _let_18629 _let_18628 _let_18627 _let_18626 _let_18625 _let_18624 _let_18623 _let_18622 _let_18621 _let_18620 _let_18619 _let_18618 _let_18617 _let_18616 _let_18615 _let_18614 _let_18613 _let_18612 _let_18611 _let_18610 _let_18609 _let_18608 _let_18607 _let_18606 _let_18605 _let_18604 _let_18603 _let_18602 _let_18601 _let_18600 _let_18599 _let_18598 _let_18597 _let_18596 _let_18595 _let_18594 _let_18593 _let_18592 _let_18591 _let_18590 _let_18589 _let_18588 _let_18587 _let_18586 _let_18585 _let_18584 _let_18583 _let_18582 _let_18581 _let_18580 _let_18579 _let_18578 _let_18577 _let_18576 _let_18575 _let_18574 _let_18573 _let_18572 _let_18571 _let_18570 _let_18569 _let_18568 _let_18567 _let_18566 _let_18565 _let_18564 _let_18563 _let_18562 _let_18561 _let_18560 _let_18559 _let_18558 _let_18557 _let_18556 _let_18555 _let_18554 _let_18553 _let_18552 _let_18551 _let_18550 _let_18549 _let_18548 _let_18547 _let_18546 _let_18545 _let_18544 _let_18543 _let_18542 _let_18541 _let_18540 _let_18539 _let_18538 _let_18537 _let_18536 _let_18535 _let_18534 _let_18533 _let_18532 _let_18531 _let_18530 _let_18529 _let_18528 _let_18527 _let_18526 _let_18525 _let_18524 _let_18523 _let_18522 _let_18521 _let_18520 _let_18519 _let_18518 _let_18517 _let_18516 _let_18515 _let_18514 _let_18513 _let_18512 _let_18511 _let_18510 _let_18509 _let_18508 _let_18507 _let_18506 _let_18505 _let_18504 _let_18503 _let_18502 _let_18501 _let_18500 _let_18499 _let_18498 _let_18497 _let_18496 _let_18495 _let_18494 _let_18493 _let_18492 _let_18491 _let_18490 _let_18489 _let_18488 _let_18487 _let_18486 _let_18485 _let_18484 _let_18483 _let_18482 _let_18481 _let_18480 _let_18479 _let_18478 _let_18477 _let_18476 _let_18475 _let_18474 _let_18473 _let_18472 _let_18471 _let_18470 _let_18469 _let_18468 _let_18467 _let_18466 _let_18465 _let_18464 _let_18463 _let_18462 _let_18461 _let_18460 _let_18459 _let_18458 _let_18457 _let_18456 _let_18455 _let_18454 _let_18453 _let_18452 _let_18451 _let_18450 _let_18449 _let_18448 _let_18447 _let_18446 _let_18445 _let_18444 _let_18443 _let_18442 _let_18441 _let_18440 _let_18439 _let_18438 _let_18437 _let_18436 _let_18435 _let_18434 _let_18433 _let_18432 _let_18431 _let_18430 _let_18429 _let_18428 _let_18427 _let_18426 _let_18425 _let_18424 _let_18423 _let_18422 _let_18421 _let_18420 _let_18419 _let_18418 _let_18417 _let_18416 _let_18415 _let_18414 _let_18413 _let_18412 _let_18411 _let_18410 _let_18409 _let_18408 _let_18407 _let_18406 _let_18405 _let_18404 _let_18403 _let_18402 _let_18401 _let_18400 _let_18399 _let_18398 _let_18397 _let_18396 _let_18395 _let_18394 _let_18393 _let_18392 _let_18391 _let_18390 _let_18389 _let_18388 _let_18387 _let_18386 _let_18385 _let_18384 _let_18383 _let_18382 _let_18381 _let_18380 _let_18379 _let_18378 _let_18377 _let_18376 _let_18375 _let_18374 _let_18373 _let_18372 _let_18371 _let_18370 _let_18369 _let_18368 _let_18367 _let_18366 _let_18365 _let_18364 _let_18363 _let_18362 _let_18361 _let_18360 _let_18359 _let_18358 _let_18357 _let_18356 _let_18355 _let_18354 _let_18353 _let_18352 _let_18351 _let_18350 _let_18349 _let_18348 _let_18347 _let_18346 _let_18345 _let_18344 _let_18343 _let_18342 _let_18341 _let_18340 _let_18339 _let_18338 _let_18337 _let_18336 _let_18335 _let_18334 _let_18333 _let_18332 _let_18331 _let_18330 _let_18329 _let_18328 _let_18327 _let_18326 _let_18325 _let_18324 _let_18323 _let_18322 _let_18321 _let_18320 _let_18319 _let_18318 _let_18317 _let_18316 _let_18315 _let_18314 _let_18313 _let_18312 _let_18311 _let_18310 _let_18309 _let_18308 _let_18307 _let_18306 _let_18305 _let_18304 _let_18303 _let_18302 _let_18301 _let_18300 _let_18299 _let_18298 _let_18297 _let_18296 _let_18295 _let_18294 _let_18293 _let_18292 _let_18291 _let_18290 _let_18289 _let_18288 _let_18287 _let_18286 _let_18285 _let_18284 _let_18283 _let_18282 _let_18281 _let_18280 _let_18279 _let_18278 _let_18277 _let_18276 _let_18275 _let_18274 _let_18273 _let_18272 _let_18271 _let_18270 _let_18269 _let_18268 _let_18267 _let_18266 _let_18265 _let_18264 _let_18263 _let_18262 _let_18261 _let_18260 _let_18259 _let_18258 _let_18257 _let_18256 _let_18255 _let_18254 _let_18253 _let_18252 _let_18251 _let_18250 _let_18249 _let_18248 _let_18247 _let_18246 _let_18245 _let_18244 _let_18243 _let_18242 _let_18241 _let_18240 _let_18239 _let_18238 _let_18237 _let_18236 _let_18235 _let_18234 _let_18233 _let_18232 _let_18231 _let_18230 _let_18229 _let_18228 _let_18227 _let_18226 _let_18225 _let_18224 _let_18223 _let_18222 _let_18221 _let_18220 _let_18219 _let_18218 _let_18217 _let_18216 _let_18215 _let_18214 _let_18213 _let_18212 _let_18211 _let_18210 _let_18209 _let_18208 _let_18207 _let_18206 _let_18205 _let_18204 _let_18203 _let_18202 _let_18201 _let_18200 _let_18199 _let_18198 _let_18197 _let_18196 _let_18195 _let_18194 _let_18193 _let_18192 _let_18191 _let_18190 _let_18189 _let_18188 _let_18187 _let_18186 _let_18185 _let_18184 _let_18183 _let_18182 _let_18181 _let_18180 _let_18179 _let_18178 _let_18177 _let_18176 _let_18175 _let_18174 _let_18173 _let_18172 _let_18171 _let_18170 _let_18169 _let_18168 _let_18167 _let_18166 _let_18165 _let_18164 _let_18163 _let_18162 _let_18161 _let_18160 _let_18159 _let_18158 _let_18157 _let_18156 _let_18155 _let_18154 _let_18153 _let_18152 _let_18151 _let_18150 _let_18149 _let_18148 _let_18147 _let_18146 _let_18145 _let_18144 _let_18143 _let_18142 _let_18141 _let_18140 _let_18139 _let_18138 _let_18137 _let_18136 _let_18135 _let_18134 _let_18133 _let_18132 _let_18131 _let_18130 _let_18129 _let_18128 _let_18127 _let_18126 _let_18125 _let_18124 _let_18123 _let_18122 _let_18121 _let_18120 _let_18119 _let_18118 _let_18117 _let_18116 _let_18115 _let_18114 _let_18113 _let_18112 _let_18111 _let_18110 _let_18109 _let_18108 _let_18107 _let_18106 _let_18105 _let_18104 _let_18103 _let_18102 _let_18101 _let_18100 _let_18099 _let_18098 _let_18097 _let_18096 _let_18095 _let_18094 _let_18093 _let_18092 _let_18091 _let_18090 _let_18089 _let_18088 _let_18087 _let_18086 _let_18085 _let_18084 _let_18083 _let_18082 _let_18081 _let_18080 _let_18079 _let_18078 _let_18077 _let_18076 _let_18075 _let_18074 _let_18073 _let_18072 _let_18071 _let_18070 _let_18069 _let_18068 _let_18067 _let_18066 _let_18065 _let_18064 _let_18063 _let_18062 _let_18061 _let_18060 _let_18059 _let_18058 _let_18057 _let_18056 _let_18055 _let_18054 _let_18053 _let_18052 _let_18051 _let_18050 _let_18049 _let_18048 _let_18047 _let_18046 _let_18045 _let_18044 _let_18043 _let_18042 _let_18041 _let_18040 _let_18039 _let_18038 _let_18037 _let_18036 _let_18035 _let_18034 _let_18033 _let_18032 _let_18031 _let_18030 _let_18029 _let_18028 _let_18027 _let_18026 _let_18025 _let_18024 _let_18023 _let_18022 _let_18021 _let_18020 _let_18019 _let_18018 _let_18017 _let_18016 _let_18015 _let_18014 _let_18013 _let_18012 _let_18011 _let_18010 _let_18009 _let_18008 _let_18007 _let_18006 _let_18005 _let_18004 _let_18003 _let_18002 _let_18001 _let_18000 _let_17999 _let_17998 _let_17997 _let_17996 _let_17995 _let_17994 _let_17993 _let_17992 _let_17991 _let_17990 _let_17989 _let_17988 _let_17987 _let_17986 _let_17985 _let_17984 _let_17983 _let_17982 _let_17981 _let_17980 _let_17979 _let_17978 _let_17977 _let_17976 _let_17975 _let_17974 _let_17973 _let_17972 _let_17971 _let_17970 _let_17969 _let_17968 _let_17967 _let_17966 _let_17965 _let_17964 _let_17963 _let_17962 _let_17961 _let_17960 _let_17959 _let_17958 _let_17957 _let_17956 _let_17955 _let_17954 _let_17953 _let_17952 _let_17951 _let_17950 _let_17949 _let_17948 _let_17947 _let_17946 _let_17945 _let_17944 _let_17943 _let_17942 _let_17941 _let_17940 _let_17939 _let_17938 _let_17937 _let_17936 _let_17935 _let_17934 _let_17933 _let_17932 _let_17931 _let_17930 _let_17929 _let_17928 _let_17927 _let_17926 _let_17925 _let_17924 _let_17923 _let_17922 _let_17921 _let_17920 _let_17919 _let_17918 _let_17917 _let_17916 _let_17915 _let_17914 _let_17913 _let_17912 _let_17911 _let_17910 _let_17909 _let_17908 _let_17907 _let_17906 _let_17905 _let_17904 _let_17903 _let_17902 _let_17901 _let_17900 _let_17899 _let_17898 _let_17897 _let_17896 _let_17895 _let_17894 _let_17893 _let_17892 _let_17891 _let_17890 _let_17889 _let_17888 _let_17887 _let_17886 _let_17885 _let_17884 _let_17883 _let_17882 _let_17881 _let_17880 _let_17879 _let_17878 _let_17877 _let_17876 _let_17875 _let_17874 _let_17873 _let_17872 _let_17871 _let_17870 _let_17869 _let_17868 _let_17867 _let_17866 _let_17865 _let_17864 _let_17863 _let_17862 _let_17861 _let_17860 _let_17859 _let_17858 _let_17857 _let_17856 _let_17855 _let_17854 _let_17853 _let_17852 _let_17851 _let_17850 _let_17849 _let_17848 _let_17847 _let_17846 _let_17845 _let_17844 _let_17843 _let_17842 _let_17841 _let_17840 _let_17839 _let_17838 _let_17837 _let_17836 _let_17835 _let_17834 _let_17833 _let_17832 _let_17831 _let_17830 _let_17829 _let_17828 _let_17827 _let_17826 _let_17825 _let_17824 _let_17823 _let_17822 _let_17821 _let_17820 _let_17819 _let_17818 _let_17817 _let_17816 _let_17815 _let_17814 _let_17813 _let_17812 _let_17811 _let_17810 _let_17809 _let_17808 _let_17807 _let_17806 _let_17805 _let_17804 _let_17803 _let_17802 _let_17801 _let_17800 _let_17799 _let_17798 _let_17797 _let_17796 _let_17795 _let_17794 _let_17793 _let_17792 _let_17791 _let_17790 _let_17789 _let_17788 _let_17787 _let_17786 _let_17785 _let_17784 _let_17783 _let_17782 _let_17781 _let_17780 _let_17779 _let_17778 _let_17777 _let_17776 _let_17775 _let_17774 _let_17773 _let_17772 _let_17771 _let_17770 _let_17769 _let_17768 _let_17767 _let_17766 _let_17765 _let_17764 _let_17763 _let_17762 _let_17761 _let_17760 _let_17759 _let_17758 _let_17757 _let_17756 _let_17755 _let_17754 _let_17753 _let_17752 _let_17751 _let_17750 _let_17749 _let_17748 _let_17747 _let_17746 _let_17745 _let_17744 _let_17743 _let_17742 _let_17741 _let_17740 _let_17739 _let_17738 _let_17737 _let_17736 _let_17735 _let_17734 _let_17733 _let_17732 _let_17731 _let_17730 _let_17729 _let_17728 _let_17727 _let_17726 _let_17725 _let_17724 _let_17723 _let_17722 _let_17721 _let_17720 _let_17719 _let_17718 _let_17717 _let_17716 _let_17715 _let_17714 _let_17713 _let_17712 _let_17711 _let_17710 _let_17709 _let_17708 _let_17707 _let_17706 _let_17705 _let_17704 _let_17703 _let_17702 _let_17701 _let_17700 _let_17699 _let_17698 _let_17697 _let_17696 _let_17695 _let_17694 _let_17693 _let_17692 _let_17691 _let_17690 _let_17689 _let_17688 _let_17687 _let_17686 _let_17685 _let_17684 _let_17683 _let_17682 _let_17681 _let_17680 _let_17679 _let_17678 _let_17677 _let_17676 _let_17675 _let_17674 _let_17673 _let_17672 _let_17671 _let_17670 _let_17669 _let_17668 _let_17667 _let_17666 _let_17665 _let_17664 _let_17663 _let_17662 _let_17661 _let_17660 _let_17659 _let_17658 _let_17657 _let_17656 _let_17655 _let_17654 _let_17653 _let_17652 _let_17651 _let_17650 _let_17649 _let_17648 _let_17647 _let_17646 _let_17645 _let_17644 _let_17643 _let_17642 _let_17641 _let_17640 _let_17639 _let_17638 _let_17637 _let_17636 _let_17635 _let_17634 _let_17633 _let_17632 _let_17631 _let_17630 _let_17629 _let_17628 _let_17627 _let_17626 _let_17625 _let_17624 _let_17623 _let_17622 _let_17621 _let_17620 _let_17619 _let_17618 _let_17617 _let_17616 _let_17615 _let_17614 _let_17613 _let_17612 _let_17611 _let_17610 _let_17609 _let_17608 _let_17607 _let_17606 _let_17605 _let_17604 _let_17603 _let_17602 _let_17601 _let_17600 _let_17599 _let_17598 _let_17597 _let_17596 _let_17595 _let_17594 _let_17593 _let_17592 _let_17591 _let_17590 _let_17589 _let_17588 _let_17587 _let_17586 _let_17585 _let_17584 _let_17583 _let_17582 _let_17581 _let_17580 _let_17579 _let_17578 _let_17577 _let_17576 _let_17575 _let_17574 _let_17573 _let_17572 _let_17571 _let_17570 _let_17569 _let_17568 _let_17567 _let_17566 _let_17565 _let_17564 _let_17563 _let_17562 _let_17561 _let_17560 _let_17559 _let_17558 _let_17557 _let_17556 _let_17555 _let_17554 _let_17553 _let_17552 _let_17551 _let_17550 _let_17549 _let_17548 _let_17547 _let_17546 _let_17545 _let_17544 _let_17543 _let_17542 _let_17541 _let_17540 _let_17539 _let_17538 _let_17537 _let_17536 _let_17535 _let_17534 _let_17533 _let_17532 _let_17531 _let_17530 _let_17529 _let_17528 _let_17527 _let_17526 _let_17525 _let_17524 _let_17523 _let_17522 _let_17521 _let_17520 _let_17519 _let_17518 _let_17517 _let_17516 _let_17515 _let_17514 _let_17513 _let_17512 _let_17511 _let_17510 _let_17509 _let_17508 _let_17507 _let_17506 _let_17505 _let_17504 _let_17503 _let_17502 _let_17501 _let_17500 _let_17499 _let_17498 _let_17497 _let_17496 _let_17495 _let_17494 _let_17493 _let_17492 _let_17491 _let_17490 _let_17489 _let_17488 _let_17487 _let_17486 _let_17485 _let_17484 _let_17483 _let_17482 _let_17481 _let_17480 _let_17479 _let_17478 _let_17477 _let_17476 _let_17475 _let_17474 _let_17473 _let_17472 _let_17471 _let_17470 _let_17469 _let_17468 _let_17467 _let_17466 _let_17465 _let_17464 _let_17463 _let_17462 _let_17461 _let_17460 _let_17459 _let_17458 _let_17457 _let_17456 _let_17455 _let_17454 _let_17453 _let_17452 _let_17451 _let_17450 _let_17449 _let_17448 _let_17447 _let_17446 _let_17445 _let_17444 _let_17443 _let_17442 _let_17441 _let_17440 _let_17439 _let_17438 _let_17437 _let_17436 _let_17435 _let_17434 _let_17433 _let_17432 _let_17431 _let_17430 _let_17429 _let_17428 _let_17427 _let_17426 _let_17425 _let_17424 _let_17423 _let_17422 _let_17421 _let_17420 _let_17419 _let_17418 _let_17417 _let_17416 _let_17415 _let_17414 _let_17413 _let_17412 _let_17411 _let_17410 _let_17409 _let_17408 _let_17407 _let_17406 _let_17405 _let_17404 _let_17403 _let_17402 _let_17401 _let_17400 _let_17399 _let_17398 _let_17397 _let_17396 _let_17395 _let_17394 _let_17393 _let_17392 _let_17391 _let_17390 _let_17389 _let_17388 _let_17387 _let_17386 _let_17385 _let_17384 _let_17383 _let_17382 _let_17381 _let_17380 _let_17379 _let_17378 _let_17377 _let_17376 _let_17375 _let_17374 _let_17373 _let_17372 _let_17371 _let_17370 _let_17369 _let_17368 _let_17367 _let_17366 _let_17365 _let_17364 _let_17363 _let_17362 _let_17361 _let_17360 _let_17359 _let_17358 _let_17357 _let_17356 _let_17355 _let_17354 _let_17353 _let_17352 _let_17351 _let_17350 _let_17349 _let_17348 _let_17347 _let_17346 _let_17345 _let_17344 _let_17343 _let_17342 _let_17341 _let_17340 _let_17339 _let_17338 _let_17337 _let_17336 _let_17335 _let_17334 _let_17333 _let_17332 _let_17331 _let_17330 _let_17329 _let_17328 _let_17327 _let_17326 _let_17325 _let_17324 _let_17323 _let_17322 _let_17321 _let_17320 _let_17319 _let_17318 _let_17317 _let_17316 _let_17315 _let_17314 _let_17313 _let_17312 _let_17311 _let_17310 _let_17309 _let_17308 _let_17307 _let_17306 _let_17305 _let_17304 _let_17303 _let_17302 _let_17301 _let_17300 _let_17299 _let_17298 _let_17297 _let_17296 _let_17295 _let_17294 _let_17293 _let_17292 _let_17291 _let_17290 _let_17289 _let_17288 _let_17287 _let_17286 _let_17285 _let_17284 _let_17283 _let_17282 _let_17281 _let_17280 _let_17279 _let_17278 _let_17277 _let_17276 _let_17275 _let_17274 _let_17273 _let_17272 _let_17271 _let_17270 _let_17269 _let_17268 _let_17267 _let_17266 _let_17265 _let_17264 _let_17263 _let_17262 _let_17261 _let_17260 _let_17259 _let_17258 _let_17257 _let_17256 _let_17255 _let_17254 _let_17253 _let_17252 _let_17251 _let_17250 _let_17249 _let_17248 _let_17247 _let_17246 _let_17245 _let_17244 _let_17243 _let_17242 _let_17241 _let_17240 _let_17239 _let_17238 _let_17237 _let_17236 _let_17235 _let_17234 _let_17233 _let_17232 _let_17231 _let_17230 _let_17229 _let_17228 _let_17227 _let_17226 _let_17225 _let_17224 _let_17223 _let_17222 _let_17221 _let_17220 _let_17219 _let_17218 _let_17217 _let_17216 _let_17215 _let_17214 _let_17213 _let_17212 _let_17211 _let_17210 _let_17209 _let_17208 _let_17207 _let_17206 _let_17205 _let_17204 _let_17203 _let_17202 _let_17201 _let_17200 _let_17199 _let_17198 _let_17197 _let_17196 _let_17195 _let_17194 _let_17193 _let_17192 _let_17191 _let_17190 _let_17189 _let_17188 _let_17187 _let_17186 _let_17185 _let_17184 _let_17183 _let_17182 _let_17181 _let_17180 _let_17179 _let_17178 _let_17177 _let_17176 _let_17175 _let_17174 _let_17173 _let_17172 _let_17171 _let_17170 _let_17169 _let_17168 _let_17167 _let_17166 _let_17165 _let_17164 _let_17163 _let_17162 _let_17161 _let_17160 _let_17159 _let_17158 _let_17157 _let_17156 _let_17155 _let_17154 _let_17153 _let_17152 _let_17151 _let_17150 _let_17149 _let_17148 _let_17147 _let_17146 _let_17145 _let_17144 _let_17143 _let_17142 _let_17141 _let_17140 _let_17139 _let_17138 _let_17137 _let_17136 _let_17135 _let_17134 _let_17133 _let_17132 _let_17131 _let_17130 _let_17129 _let_17128 _let_17127 _let_17126 _let_17125 _let_17124 _let_17123 _let_17122 _let_17121 _let_17120 _let_17119 _let_17118 _let_17117 _let_17116 _let_17115 _let_17114 _let_17113 _let_17112 _let_17111 _let_17110 _let_17109 _let_17108 _let_17107 _let_17106 _let_17105 _let_17104 _let_17103 _let_17102 _let_17101 _let_17100 _let_17099 _let_17098 _let_17097 _let_17096 _let_17095 _let_17094 _let_17093 _let_17092 _let_17091 _let_17090 _let_17089 _let_17088 _let_17087 _let_17086 _let_17085 _let_17084 _let_17083 _let_17082 _let_17081 _let_17080 _let_17079 _let_17078 _let_17077 _let_17076 _let_17075 _let_17074 _let_17073 _let_17072 _let_17071 _let_17070 _let_17069 _let_17068 _let_17067 _let_17066 _let_17065 _let_17064 _let_17063 _let_17062 _let_17061 _let_17060 _let_17059 _let_17058 _let_17057 _let_17056 _let_17055 _let_17054 _let_17053 _let_17052 _let_17051 _let_17050 _let_17049 _let_17048 _let_17047 _let_17046 _let_17045 _let_17044 _let_17043 _let_17042 _let_17041 _let_17040 _let_17039 _let_17038 _let_17037 _let_17036 _let_17035 _let_17034 _let_17033 _let_17032 _let_17031 _let_17030 _let_17029 _let_17028 _let_17027 _let_17026 _let_17025 _let_17024 _let_17023 _let_17022 _let_17021 _let_17020 _let_17019 _let_17018 _let_17017 _let_17016 _let_17015 _let_17014 _let_17013 _let_17012 _let_17011 _let_17010 _let_17009 _let_17008 _let_17007 _let_17006 _let_17005 _let_17004 _let_17003 _let_17002 _let_17001 _let_17000 _let_16999 _let_16998 _let_16997 _let_16996 _let_16995 _let_16994 _let_16993 _let_16992 _let_16991 _let_16990 _let_16989 _let_16988 _let_16987 _let_16986 _let_16985 _let_16984 _let_16983 _let_16982 _let_16981 _let_16980 _let_16979 _let_16978 _let_16977 _let_16976 _let_16975 _let_16974 _let_16973 _let_16972 _let_16971 _let_16970 _let_16969 _let_16968 _let_16967 _let_16966 _let_16965 _let_16964 _let_16963 _let_16962 _let_16961 _let_16960 _let_16959 _let_16958 _let_16957 _let_16956 _let_16955 _let_16954 _let_16953 _let_16952 _let_16951 _let_16950 _let_16949 _let_16948 _let_16947 _let_16946 _let_16945 _let_16944 _let_16943 _let_16942 _let_16941 _let_16940 _let_16939 _let_16938 _let_16937 _let_16936 _let_16935 _let_16934 _let_16933 _let_16932 _let_16931 _let_16930 _let_16929 _let_16928 _let_16927 _let_16926 _let_16925 _let_16924 _let_16923 _let_16922 _let_16921 _let_16920 _let_16919 _let_16918 _let_16917 _let_16916 _let_16915 _let_16914 _let_16913 _let_16912 _let_16911 _let_16910 _let_16909 _let_16908 _let_16907 _let_16906 _let_16905 _let_16904 _let_16903 _let_16902 _let_16901 _let_16900 _let_16899 _let_16898 _let_16897 _let_16896 _let_16895 _let_16894 _let_16893 _let_16892 _let_16891 _let_16890 _let_16889 _let_16888 _let_16887 _let_16886 _let_16885 _let_16884 _let_16883 _let_16882 _let_16881 _let_16880 _let_16879 _let_16878 _let_16877 _let_16876 _let_16875 _let_16874 _let_16873 _let_16872 _let_16871 _let_16870 _let_16869 _let_16868 _let_16867 _let_16866 _let_16865 _let_16864 _let_16863 _let_16862 _let_16861 _let_16860 _let_16859 _let_16858 _let_16857 _let_16856 _let_16855 _let_16854 _let_16853 _let_16852 _let_16851 _let_16850 _let_16849 _let_16848 _let_16847 _let_16846 _let_16845 _let_16844 _let_16843 _let_16842 _let_16841 _let_16840 _let_16839 _let_16838 _let_16837 _let_16836 _let_16835 _let_16834 _let_16833 _let_16832 _let_16831 _let_16830 _let_16829 _let_16828 _let_16827 _let_16826 _let_16825 _let_16824 _let_16823 _let_16822 _let_16821 _let_16820 _let_16819 _let_16818 _let_16817 _let_16816 _let_16815 _let_16814 _let_16813 _let_16812 _let_16811 _let_16810 _let_16809 _let_16808 _let_16807 _let_16806 _let_16805 _let_16804 _let_16803 _let_16802 _let_16801 _let_16800 _let_16799 _let_16798 _let_16797 _let_16796 _let_16795 _let_16794 _let_16793 _let_16792 _let_16791 _let_16790 _let_16789 _let_16788 _let_16787 _let_16786 _let_16785 _let_16784 _let_16783 _let_16782 _let_16781 _let_16780 _let_16779 _let_16778 _let_16777 _let_16776 _let_16775 _let_16774 _let_16773 _let_16772 _let_16771 _let_16770 _let_16769 _let_16768 _let_16767 _let_16766 _let_16765 _let_16764 _let_16763 _let_16762 _let_16761 _let_16760 _let_16759 _let_16758 _let_16757 _let_16756 _let_16755 _let_16754 _let_16753 _let_16752 _let_16751 _let_16750 _let_16749 _let_16748 _let_16747 _let_16746 _let_16745 _let_16744 _let_16743 _let_16742 _let_16741 _let_16740 _let_16739 _let_16738 _let_16737 _let_16736 _let_16735 _let_16734 _let_16733 _let_16732 _let_16731 _let_16730 _let_16729 _let_16728 _let_16727 _let_16726 _let_16725 _let_16724 _let_16723 _let_16722 _let_16721 _let_16720 _let_16719 _let_16718 _let_16717 _let_16716 _let_16715 _let_16714 _let_16713 _let_16712 _let_16711 _let_16710 _let_16709 _let_16708 _let_16707 _let_16706 _let_16705 _let_16704 _let_16703 _let_16702 _let_16701 _let_16700 _let_16699 _let_16698 _let_16697 _let_16696 _let_16695 _let_16694 _let_16693 _let_16692 _let_16691 _let_16690 _let_16689 _let_16688 _let_16687 _let_16686 _let_16685 _let_16684 _let_16683 _let_16682 _let_16681 _let_16680 _let_16679 _let_16678 _let_16677 _let_16676 _let_16675 _let_16674 _let_16673 _let_16672 _let_16671 _let_16670 _let_16669 _let_16668 _let_16667 _let_16666 _let_16665 _let_16664 _let_16663 _let_16662 _let_16661 _let_16660 _let_16659 _let_16658 _let_16657 _let_16656 _let_16655 _let_16654 _let_16653 _let_16652 _let_16651 _let_16650 _let_16649 _let_16648 _let_16647 _let_16646 _let_16645 _let_16644 _let_16643 _let_16642 _let_16641 _let_16640 _let_16639 _let_16638 _let_16637 _let_16636 _let_16635 _let_16634 _let_16633 _let_16632 _let_16631 _let_16630 _let_16629 _let_16628 _let_16627 _let_16626 _let_16625 _let_16624 _let_16623 _let_16622 _let_16621 _let_16620 _let_16619 _let_16618 _let_16617 _let_16616 _let_16615 _let_16614 _let_16613 _let_16612 _let_16611 _let_16610 _let_16609 _let_16608 _let_16607 _let_16606 _let_16605 _let_16604 _let_16603 _let_16602 _let_16601 _let_16600 _let_16599 _let_16598 _let_16597 _let_16596 _let_16595 _let_16594 _let_16593 _let_16592 _let_16591 _let_16590 _let_16589 _let_16588 _let_16587 _let_16586 _let_16585 _let_16584 _let_16583 _let_16582 _let_16581 _let_16580 _let_16579 _let_16578 _let_16577 _let_16576 _let_16575 _let_16574 _let_16573 _let_16572 _let_16571 _let_16570 _let_16569 _let_16568 _let_16567 _let_16566 _let_16565 _let_16564 _let_16563 _let_16562 _let_16561 _let_16560 _let_16559 _let_16558 _let_16557 _let_16556 _let_16555 _let_16554 _let_16553 _let_16552 _let_16551 _let_16550 _let_16549 _let_16548 _let_16547 _let_16546 _let_16545 _let_16544 _let_16543 _let_16542 _let_16541 _let_16540 _let_16539 _let_16538 _let_16537 _let_16536 _let_16535 _let_16534 _let_16533 _let_16532 _let_16531 _let_16530 _let_16529 _let_16528 _let_16527 _let_16526 _let_16525 _let_16524 _let_16523 _let_16522 _let_16521 _let_16520 _let_16519 _let_16518 _let_16517 _let_16516 _let_16515 _let_16514 _let_16513 _let_16512 _let_16511 _let_16510 _let_16509 _let_16508 _let_16507 _let_16506 _let_16505 _let_16504 _let_16503 _let_16502 _let_16501 _let_16500 _let_16499 _let_16498 _let_16497 _let_16496 _let_16495 _let_16494 _let_16493 _let_16492 _let_16491 _let_16490 _let_16489 _let_16488 _let_16487 _let_16486 _let_16485 _let_16484 _let_16483 _let_16482 _let_16481 _let_16480 _let_16479 _let_16478 _let_16477 _let_16476 _let_16475 _let_16474 _let_16473 _let_16472 _let_16471 _let_16470 _let_16469 _let_16468 _let_16467 _let_16466 _let_16465 _let_16464 _let_16463 _let_16462 _let_16461 _let_16460 _let_16459 _let_16458 _let_16457 _let_16456 _let_16455 _let_16454 _let_16453 _let_16452 _let_16451 _let_16450 _let_16449 _let_16448 _let_16447 _let_16446 _let_16445 _let_16444 _let_16443 _let_16442 _let_16441 _let_16440 _let_16439 _let_16438 _let_16437 _let_16436 _let_16435 _let_16434 _let_16433 _let_16432 _let_16431 _let_16430 _let_16429 _let_16428 _let_16427 _let_16426 _let_16425 _let_16424 _let_16423 _let_16422 _let_16421 _let_16420 _let_16419 _let_16418 _let_16417 _let_16416 _let_16415 _let_16414 _let_16413 _let_16412 _let_16411 _let_16410 _let_16409 _let_16408 _let_16407 _let_16406 _let_16405 _let_16404 _let_16403 _let_16402 _let_16401 _let_16400 _let_16399 _let_16398 _let_16397 _let_16396 _let_16395 _let_16394 _let_16393 _let_16392 _let_16391 _let_16390 _let_16389 _let_16388 _let_16387 _let_16386 _let_16385 _let_16384 _let_16383 _let_16382 _let_16381 _let_16380 _let_16379 _let_16378 _let_16377 _let_16376 _let_16375 _let_16374 _let_16373 _let_16372 _let_16371 _let_16370 _let_16369 _let_16368 _let_16367 _let_16366 _let_16365 _let_16364 _let_16363 _let_16362 _let_16361 _let_16360 _let_16359 _let_16358 _let_16357 _let_16356 _let_16355 _let_16354 _let_16353 _let_16352 _let_16351 _let_16350 _let_16349 _let_16348 _let_16347 _let_16346 _let_16345 _let_16344 _let_16343 _let_16342 _let_16341 _let_16340 _let_16339 _let_16338 _let_16337 _let_16336 _let_16335 _let_16334 _let_16333 _let_16332 _let_16331 _let_16330 _let_16329 _let_16328 _let_16327 _let_16326 _let_16325 _let_16324 _let_16323 _let_16322 _let_16321 _let_16320 _let_16319 _let_16318 _let_16317 _let_16316 _let_16315 _let_16314 _let_16313 _let_16312 _let_16311 _let_16310 _let_16309 _let_16308 _let_16307 _let_16306 _let_16305 _let_16304 _let_16303 _let_16302 _let_16301 _let_16300 _let_16299 _let_16298 _let_16297 _let_16296 _let_16295 _let_16294 _let_16293 _let_16292 _let_16291 _let_16290 _let_16289 _let_16288 _let_16287 _let_16286 _let_16285 _let_16284 _let_16283 _let_16282 _let_16281 _let_16280 _let_16279 _let_16278 _let_16277 _let_16276 _let_16275 _let_16274 _let_16273 _let_16272 _let_16271 _let_16270 _let_16269 _let_16268 _let_16267 _let_16266 _let_16265 _let_16264 _let_16263 _let_16262 _let_16261 _let_16260 _let_16259 _let_16258 _let_16257 _let_16256 _let_16255 _let_16254 _let_16253 _let_16252 _let_16251 _let_16250 _let_16249 _let_16248 _let_16247 _let_16246 _let_16245 _let_16244 _let_16243 _let_16242 _let_16241 _let_16240 _let_16239 _let_16238 _let_16237 _let_16236 _let_16235 _let_16234 _let_16233 _let_16232 _let_16231 _let_16230 _let_16229 _let_16228 _let_16227 _let_16226 _let_16225 _let_16224 _let_16223 _let_16222 _let_16221 _let_16220 _let_16219 _let_16218 _let_16217 _let_16216 _let_16215 _let_16214 _let_16213 _let_16212 _let_16211 _let_16210 _let_16209 _let_16208 _let_16207 _let_16206 _let_16205 _let_16204 _let_16203 _let_16202 _let_16201 _let_16200 _let_16199 _let_16198 _let_16197 _let_16196 _let_16195 _let_16194 _let_16193 _let_16192 _let_16191 _let_16190 _let_16189 _let_16188 _let_16187 _let_16186 _let_16185 _let_16184 _let_16183 _let_16182 _let_16181 _let_16180 _let_16179 _let_16178 _let_16177 _let_16176 _let_16175 _let_16174 _let_16173 _let_16172 _let_16171 _let_16170 _let_16169 _let_16168 _let_16167 _let_16166 _let_16165 _let_16164 _let_16163 _let_16162 _let_16161 _let_16160 _let_16159 _let_16158 _let_16157 _let_16156 _let_16155 _let_16154 _let_16153 _let_16152 _let_16151 _let_16150 _let_16149 _let_16148 _let_16147 _let_16146 _let_16145 _let_16144 _let_16143 _let_16142 _let_16141 _let_16140 _let_16139 _let_16138 _let_16137 _let_16136 _let_16135 _let_16134 _let_16133 _let_16132 _let_16131 _let_16130 _let_16129 _let_16128 _let_16127 _let_16126 _let_16125 _let_16124 _let_16123 _let_16122 _let_16121 _let_16120 _let_16119 _let_16118 _let_16117 _let_16116 _let_16115 _let_16114 _let_16113 _let_16112 _let_16111 _let_16110 _let_16109 _let_16108 _let_16107 _let_16106 _let_16105 _let_16104 _let_16103 _let_16102 _let_16101 _let_16100 _let_16099 _let_16098 _let_16097 _let_16096 _let_16095 _let_16094 _let_16093 _let_16092 _let_16091 _let_16090 _let_16089 _let_16088 _let_16087 _let_16086 _let_16085 _let_16084 _let_16083 _let_16082 _let_16081 _let_16080 _let_16079 _let_16078 _let_16077 _let_16076 _let_16075 _let_16074 _let_16073 _let_16072 _let_16071 _let_16070 _let_16069 _let_16068 _let_16067 _let_16066 _let_16065 _let_16064 _let_16063 _let_16062 _let_16061 _let_16060 _let_16059 _let_16058 _let_16057 _let_16056 _let_16055 _let_16054 _let_16053 _let_16052 _let_16051 _let_16050 _let_16049 _let_16048 _let_16047 _let_16046 _let_16045 _let_16044 _let_16043 _let_16042 _let_16041 _let_16040 _let_16039 _let_16038 _let_16037 _let_16036 _let_16035 _let_16034 _let_16033 _let_16032 _let_16031 _let_16030 _let_16029 _let_16028 _let_16027 _let_16026 _let_16025 _let_16024 _let_16023 _let_16022 _let_16021 _let_16020 _let_16019 _let_16018 _let_16017 _let_16016 _let_16015 _let_16014 _let_16013 _let_16012 _let_16011 _let_16010 _let_16009 _let_16008 _let_16007 _let_16006 _let_16005 _let_16004 _let_16003 _let_16002 _let_16001 _let_16000 _let_15999 _let_15998 _let_15997 _let_15996 _let_15995 _let_15994 _let_15993 _let_15992 _let_15991 _let_15990 _let_15989 _let_15988 _let_15987 _let_15986 _let_15985 _let_15984 _let_15983 _let_15982 _let_15981 _let_15980 _let_15979 _let_15978 _let_15977 _let_15976 _let_15975 _let_15974 _let_15973 _let_15972 _let_15971 _let_15970 _let_15969 _let_15968 _let_15967 _let_15966 _let_15965 _let_15964 _let_15963 _let_15962 _let_15961 _let_15960 _let_15959 _let_15958 _let_15957 _let_15956 _let_15955 _let_15954 _let_15953 _let_15952 _let_15951 _let_15950 _let_15949 _let_15948 _let_15947 _let_15946 _let_15945 _let_15944 _let_15943 _let_15942 _let_15941 _let_15940 _let_15939 _let_15938 _let_15937 _let_15936 _let_15935 _let_15934 _let_15933 _let_15932 _let_15931 _let_15930 _let_15929 _let_15928 _let_15927 _let_15926 _let_15925 _let_15924 _let_15923 _let_15922 _let_15921 _let_15920 _let_15919 _let_15918 _let_15917 _let_15916 _let_15915 _let_15914 _let_15913 _let_15912 _let_15911 _let_15910 _let_15909 _let_15908 _let_15907 _let_15906 _let_15905 _let_15904 _let_15903 _let_15902 _let_15901 _let_15900 _let_15899 _let_15898 _let_15897 _let_15896 _let_15895 _let_15894 _let_15893 _let_15892 _let_15891 _let_15890 _let_15889 _let_15888 _let_15887 _let_15886 _let_15885 _let_15884 _let_15883 _let_15882 _let_15881 _let_15880 _let_15879 _let_15878 _let_15877 _let_15876 _let_15875 _let_15874 _let_15873 _let_15872 _let_15871 _let_15870 _let_15869 _let_15868 _let_15867 _let_15866 _let_15865 _let_15864 _let_15863 _let_15862 _let_15861 _let_15860 _let_15859 _let_15858 _let_15857 _let_15856 _let_15855 _let_15854 _let_15853 _let_15852 _let_15851 _let_15850 _let_15849 _let_15848 _let_15847 _let_15846 _let_15845 _let_15844 _let_15843 _let_15842 _let_15841 _let_15840 _let_15839 _let_15838 _let_15837 _let_15836 _let_15835 _let_15834 _let_15833 _let_15832 _let_15831 _let_15830 _let_15829 _let_15828 _let_15827 _let_15826 _let_15825 _let_15824 _let_15823 _let_15822 _let_15821 _let_15820 _let_15819 _let_15818 _let_15817 _let_15816 _let_15815 _let_15814 _let_15813 _let_15812 _let_15811 _let_15810 _let_15809 _let_15808 _let_15807 _let_15806 _let_15805 _let_15804 _let_15803 _let_15802 _let_15801 _let_15800 _let_15799 _let_15798 _let_15797 _let_15796 _let_15795 _let_15794 _let_15793 _let_15792 _let_15791 _let_15790 _let_15789 _let_15788 _let_15787 _let_15786 _let_15785 _let_15784 _let_15783 _let_15782 _let_15781 _let_15780 _let_15779 _let_15778 _let_15777 _let_15776 _let_15775 _let_15774 _let_15773 _let_15772 _let_15771 _let_15770 _let_15769 _let_15768 _let_15767 _let_15766 _let_15765 _let_15764 _let_15763 _let_15762 _let_15761 _let_15760 _let_15759 _let_15758 _let_15757 _let_15756 _let_15755 _let_15754 _let_15753 _let_15752 _let_15751 _let_15750 _let_15749 _let_15748 _let_15747 _let_15746 _let_15745 _let_15744 _let_15743 _let_15742 _let_15741 _let_15740 _let_15739 _let_15738 _let_15737 _let_15736 _let_15735 _let_15734 _let_15733 _let_15732 _let_15731 _let_15730 _let_15729 _let_15728 _let_15727 _let_15726 _let_15725 _let_15724 _let_15723 _let_15722 _let_15721 _let_15720 _let_15719 _let_15718 _let_15717 _let_15716 _let_15715 _let_15714 _let_15713 _let_15712 _let_15711 _let_15710 _let_15709 _let_15708 _let_15707 _let_15706 _let_15705 _let_15704 _let_15703 _let_15702 _let_15701 _let_15700 _let_15699 _let_15698 _let_15697 _let_15696 _let_15695 _let_15694 _let_15693 _let_15692 _let_15691 _let_15690 _let_15689 _let_15688 _let_15687 _let_15686 _let_15685 _let_15684 _let_15683 _let_15682 _let_15681 _let_15680 _let_15679 _let_15678 _let_15677 _let_15676 _let_15675 _let_15674 _let_15673 _let_15672 _let_15671 _let_15670 _let_15669 _let_15668 _let_15667 _let_15666 _let_15665 _let_15664 _let_15663 _let_15662 _let_15661 _let_15660 _let_15659 _let_15658 _let_15657 _let_15656 _let_15655 _let_15654 _let_15653 _let_15652 _let_15651 _let_15650 _let_15649 _let_15648 _let_15647 _let_15646 _let_15645 _let_15644 _let_15643 _let_15642 _let_15641 _let_15640 _let_15639 _let_15638 _let_15637 _let_15636 _let_15635 _let_15634 _let_15633 _let_15632 _let_15631 _let_15630 _let_15629 _let_15628 _let_15627 _let_15626 _let_15625 _let_15624 _let_15623 _let_15622 _let_15621 _let_15620 _let_15619 _let_15618 _let_15617 _let_15616 _let_15615 _let_15614 _let_15613 _let_15612 _let_15611 _let_15610 _let_15609 _let_15608 _let_15607 _let_15606 _let_15605 _let_15604 _let_15603 _let_15602 _let_15601 _let_15600 _let_15599 _let_15598 _let_15597 _let_15596 _let_15595 _let_15594 _let_15593 _let_15592 _let_15591 _let_15590 _let_15589 _let_15588 _let_15587 _let_15586 _let_15585 _let_15584 _let_15583 _let_15582 _let_15581 _let_15580 _let_15579 _let_15578 _let_15577 _let_15576 _let_15575 _let_15574 _let_15573 _let_15572 _let_15571 _let_15570 _let_15569 _let_15568 _let_15567 _let_15566 _let_15565 _let_15564 _let_15563 _let_15562 _let_15561 _let_15560 _let_15559 _let_15558 _let_15557 _let_15556 _let_15555 _let_15554 _let_15553 _let_15552 _let_15551 _let_15550 _let_15549 _let_15548 _let_15547 _let_15546 _let_15545 _let_15544 _let_15543 _let_15542 _let_15541 _let_15540 _let_15539 _let_15538 _let_15537 _let_15536 _let_15535 _let_15534 _let_15533 _let_15532 _let_15531 _let_15530 _let_15529 _let_15528 _let_15527 _let_15526 _let_15525 _let_15524 _let_15523 _let_15522 _let_15521 _let_15520 _let_15519 _let_15518 _let_15517 _let_15516 _let_15515 _let_15514 _let_15513 _let_15512 _let_15511 _let_15510 _let_15509 _let_15508 _let_15507 _let_15506 _let_15505 _let_15504 _let_15503 _let_15502 _let_15501 _let_15500 _let_15499 _let_15498 _let_15497 _let_15496 _let_15495 _let_15494 _let_15493 _let_15492 _let_15491 _let_15490 _let_15489 _let_15488 _let_15487 _let_15486 _let_15485 _let_15484 _let_15483 _let_15482 _let_15481)))) :args (_let_19970)) (PREPROCESS :args ((= _let_19970 (and _let_15480 _let_15479 _let_15478 _let_15477 _let_15476 _let_15475 _let_15474 _let_15473 _let_15472 _let_15471 _let_15470 _let_15469 _let_15468 _let_15467 _let_15466 _let_15465 _let_15464 _let_15463 _let_15462 _let_15461 _let_15460 _let_15459 _let_15458 _let_15457 _let_15456 _let_15455 _let_15454 _let_15453 _let_15452 _let_15451 _let_15450 _let_15449 _let_15448 _let_15447 _let_15446 _let_15445 _let_15444 _let_15443 _let_15442 _let_15441 _let_15440 _let_15439 _let_15438 _let_15437 _let_15436 _let_15435 _let_15434 _let_15433 _let_15432 _let_15431 _let_15430 _let_15429 _let_15428 _let_15427 _let_15426 _let_15425 _let_15424 _let_15423 _let_15422 _let_15421 _let_15420 _let_15419 _let_15418 _let_15417 _let_15416 _let_15415 _let_15414 _let_15413 _let_15412 _let_15411 _let_15410 _let_15409 _let_15408 _let_15407 _let_15406 _let_15405 _let_15404 _let_15403 _let_15402 _let_15401 _let_15400 _let_15399 _let_15398 _let_15397 _let_15396 _let_15395 _let_15394 _let_15393 _let_15392 _let_15391 _let_15390 _let_15389 _let_15388 _let_15387 _let_15386 _let_15385 _let_15384 _let_15383 _let_15382 _let_15381 _let_15380 _let_15379 _let_15378 _let_15377 _let_15376 _let_15375 _let_15374 _let_15373 _let_15372 _let_15371 _let_15370 _let_15369 _let_15368 _let_15367 _let_15366 _let_15365 _let_15364 _let_15363 _let_15362 _let_15361 _let_15360 _let_15359 _let_15358 _let_15357 _let_15356 _let_15355 _let_15354 _let_15353 _let_15352 _let_15351 _let_15350 _let_15349 _let_15348 _let_15347 _let_15346 _let_15345 _let_15344 _let_15343 _let_15342 _let_15341 _let_15340 _let_15339 _let_15338 _let_15337 _let_15336 _let_15335 _let_15334 _let_15333 _let_15332 _let_15331 _let_15330 _let_15329 _let_15328 _let_15327 _let_15326 _let_15325 _let_15324 _let_15323 _let_15322 _let_15321 _let_15320 _let_15319 _let_15318 _let_15317 _let_15316 _let_15315 _let_15314 _let_15313 _let_15312 _let_15311 _let_15310 _let_15309 _let_15308 _let_15307 _let_15306 _let_15305 _let_15304 _let_15303 _let_15302 _let_15301 _let_15300 _let_15299 _let_15298 _let_15297 _let_15296 _let_15295 _let_15294 _let_15293 _let_15292 _let_15291 _let_15290 _let_15289 _let_15288 _let_15287 _let_15286 _let_15285 _let_15284 _let_15283 _let_15282 _let_15281 _let_15280 _let_15279 _let_15278 _let_15277 _let_15276 _let_15275 _let_15274 _let_15273 _let_15272 _let_15271 _let_15270 _let_15269 _let_15268 _let_15267 _let_15266 _let_15265 _let_15264 _let_15263 _let_15262 _let_15261 _let_15260 _let_15259 _let_15258 _let_15257 _let_15256 _let_15255 _let_15254 _let_15253 _let_15252 _let_15251 _let_15250 _let_15249 _let_15248 _let_15247 _let_15246 _let_15245 _let_15244 _let_15243 _let_15242 _let_15241 _let_15240 _let_15239 _let_15238 _let_15237 _let_15236 _let_15235 _let_15234 _let_15233 _let_15232 _let_15231 _let_15230 _let_15229 _let_15228 _let_15227 _let_15226 _let_15225 _let_15224 _let_15223 _let_15222 _let_15221 _let_15220 _let_15219 _let_15218 _let_15217 _let_15216 _let_15215 _let_15214 _let_15213 _let_15212 _let_15211 _let_15210 _let_15209 _let_15208 _let_15207 _let_15206 _let_15205 _let_15204 _let_15203 _let_15202 _let_15201 _let_15200 _let_15199 _let_15198 _let_15197 _let_15196 _let_15195 _let_15194 _let_15193 _let_15192 _let_15191 _let_15190 _let_15189 _let_15188 _let_15187 _let_15186 _let_15185 _let_15184 _let_15183 _let_15182 _let_15181 _let_15180 _let_15179 _let_15178 _let_15177 _let_15176 _let_15175 _let_15174 _let_15173 _let_15172 _let_15171 _let_15170 _let_15169 _let_15168 _let_15167 _let_15166 _let_15165 _let_15164 _let_15163 _let_15162 _let_15161 _let_15160 _let_15159 _let_15158 _let_15157 _let_15156 _let_15155 _let_15154 _let_15153 _let_15152 _let_15151 _let_15150 _let_15149 _let_15148 _let_15147 _let_15146 _let_15145 _let_15144 _let_15143 _let_15142 _let_15141 _let_15140 _let_15139 _let_15138 _let_15137 _let_15136 _let_15135 _let_15134 _let_15133 _let_15132 _let_15131 _let_15130 _let_15129 _let_15128 _let_15127 _let_15126 _let_15125 _let_15124 _let_15123 _let_15122 _let_15121 _let_15120 _let_15119 _let_15118 _let_15117 _let_15116 _let_15115 _let_15114 _let_15113 _let_15112 _let_15111 _let_15110 _let_15109 _let_15108 _let_15107 _let_15106 _let_15105 _let_15104 _let_15103 _let_15102 _let_15101 _let_15100 _let_15099 _let_15098 _let_15097 _let_15096 _let_15095 _let_15094 _let_15093 _let_15092 _let_15091 _let_15090 _let_15089 _let_15088 _let_15087 _let_15086 _let_15085 _let_15084 _let_15083 _let_15082 _let_15081 _let_15080 _let_15079 _let_15078 _let_15077 _let_15076 _let_15075 _let_15074 _let_15073 _let_15072 _let_15071 _let_15070 _let_15069 _let_15068 _let_15067 _let_15066 _let_15065 _let_15064 _let_15063 _let_15062 _let_15061 _let_15060 _let_15059 _let_15058 _let_15057 _let_15056 _let_15055 _let_15054 _let_15053 _let_15052 _let_15051 _let_15050 _let_15049 _let_15048 _let_15047 _let_15046 _let_15045 _let_15044 _let_15043 _let_15042 _let_15041 _let_15040 _let_15039 _let_15038 _let_15037 _let_15036 _let_15035 _let_15034 _let_15033 _let_15032 _let_15031 _let_15030 _let_15029 _let_15028 _let_15027 _let_15026 _let_15025 _let_15024 _let_15023 _let_15022 _let_15021 _let_15020 _let_15019 _let_15018 _let_15017 _let_15016 _let_15015 _let_15014 _let_15013 _let_15012 _let_15011 _let_15010 _let_15009 _let_15008 _let_15007 _let_15006 _let_15005 _let_15004 _let_15003 _let_15002 _let_15001 _let_15000 _let_14999 _let_14998 _let_14997 _let_14996 _let_14995 _let_14994 _let_14993 _let_14992 _let_14991 _let_14990 _let_14989 _let_14988 _let_14987 _let_14986 _let_14985 _let_14984 _let_14983 _let_14982 _let_14981 _let_14980 _let_14979 _let_14978 _let_14977 _let_14976 _let_14975 _let_14974 _let_14973 _let_14972 _let_14971 _let_14970 _let_14969 _let_14968 _let_14967 _let_14966 _let_14965 _let_14964 _let_14963 _let_14962 _let_14961 _let_14960 _let_14959 _let_14958 _let_14957 _let_14956 _let_14955 _let_14954 _let_14953 _let_14952 _let_14951 _let_14950 _let_14949 _let_14948 _let_14947 _let_14946 _let_14945 _let_14944 _let_14943 _let_14942 _let_14941 _let_14940 _let_14939 _let_14938 _let_14937 _let_14936 _let_14935 _let_14934 _let_14933 _let_14932 _let_14931 _let_14930 _let_14929 _let_14928 _let_14927 _let_14926 _let_14925 _let_14924 _let_14923 _let_14922 _let_14921 _let_14920 _let_14919 _let_14918 _let_14917 _let_14916 _let_14915 _let_14914 _let_14913 _let_14912 _let_14911 _let_14910 _let_14909 _let_14908 _let_14907 _let_14906 _let_14905 _let_14904 _let_14903 _let_14902 _let_14901 _let_14900 _let_14899 _let_14898 _let_14897 _let_14896 _let_14895 _let_14894 _let_14893 _let_14892 _let_14891 _let_14890 _let_14889 _let_14888 _let_14887 _let_14886 _let_14885 _let_14884 _let_14883 _let_14882 _let_14881 _let_14880 _let_14879 _let_14878 _let_14877 _let_14876 _let_14875 _let_14874 _let_14873 _let_14872 _let_14871 _let_14870 _let_14869 _let_14868 _let_14867 _let_14866 _let_14865 _let_14864 _let_14863 _let_14862 _let_14861 _let_14860 _let_14859 _let_14858 _let_14857 _let_14856 _let_14855 _let_14854 _let_14853 _let_14852 _let_14851 _let_14850 _let_14849 _let_14848 _let_14847 _let_14846 _let_14845 _let_14844 _let_14843 _let_14842 _let_14841 _let_14840 _let_14839 _let_14838 _let_14837 _let_14836 _let_14835 _let_14834 _let_14833 _let_14832 _let_14831 _let_14830 _let_14829 _let_14828 _let_14827 _let_14826 _let_14825 _let_14824 _let_14823 _let_14822 _let_14821 _let_14820 _let_14819 _let_14818 _let_14817 _let_14816 _let_14815 _let_14814 _let_14813 _let_14812 _let_14811 _let_14810 _let_14809 _let_14808 _let_14807 _let_14806 _let_14805 _let_14804 _let_14803 _let_14802 _let_14801 _let_14800 _let_14799 _let_14798 _let_14797 _let_14796 _let_14795 _let_14794 _let_14793 _let_14792 _let_14791 _let_14790 _let_14789 _let_14788 _let_14787 _let_14786 _let_14785 _let_14784 _let_14783 _let_14782 _let_14781 _let_14780 _let_14779 _let_14778 _let_14777 _let_14776 _let_14775 _let_14774 _let_14773 _let_14772 _let_14771 _let_14770 _let_14769 _let_14768 _let_14767 _let_14766 _let_14765 _let_14764 _let_14763 _let_14762 _let_14761 _let_14760 _let_14759 _let_14758 _let_14757 _let_14756 _let_14755 _let_14754 _let_14753 _let_14752 _let_14751 _let_14750 _let_14749 _let_14748 _let_14747 _let_14746 _let_14745 _let_14744 _let_14743 _let_14742 _let_14741 _let_14740 _let_14739 _let_14738 _let_14737 _let_14736 _let_14735 _let_14734 _let_14733 _let_14732 _let_14731 _let_14730 _let_14729 _let_14728 _let_14727 _let_14726 _let_14725 _let_14724 _let_14723 _let_14722 _let_14721 _let_14720 _let_14719 _let_14718 _let_14717 _let_14716 _let_14715 _let_14714 _let_14713 _let_14712 _let_14711 _let_14710 _let_14709 _let_14708 _let_14707 _let_14706 _let_14705 _let_14704 _let_14703 _let_14702 _let_14701 _let_14700 _let_14699 _let_14698 _let_14697 _let_14696 _let_14695 _let_14694 _let_14693 _let_14692 _let_14691 _let_14690 _let_14689 _let_14688 _let_14687 _let_14686 _let_14685 _let_14684 _let_14683 _let_14682 _let_14681 _let_14680 _let_14679 _let_14678 _let_14677 _let_14676 _let_14675 _let_14674 _let_14673 _let_14672 _let_14671 _let_14670 _let_14669 _let_14668 _let_14667 _let_14666 _let_14665 _let_14664 _let_14663 _let_14662 _let_14661 _let_14660 _let_14659 _let_14658 _let_14657 _let_14656 _let_14655 _let_14654 _let_14653 _let_14652 _let_14651 _let_14650 _let_14649 _let_14648 _let_14647 _let_14646 _let_14645 _let_14644 _let_14643 _let_14642 _let_14641 _let_14640 _let_14639 _let_14638 _let_14637 _let_14636 _let_14635 _let_14634 _let_14633 _let_14632 _let_14631 _let_14630 _let_14629 _let_14628 _let_14627 _let_14626 _let_14625 _let_14624 _let_14623 _let_14622 _let_14621 _let_14620 _let_14619 _let_14618 _let_14617 _let_14616 _let_14615 _let_14614 _let_14613 _let_14612 _let_14611 _let_14610 _let_14609 _let_14608 _let_14607 _let_14606 _let_14605 _let_14604 _let_14603 _let_14602 _let_14601 _let_14600 _let_14599 _let_14598 _let_14597 _let_14596 _let_14595 _let_14594 _let_14593 _let_14592 _let_14591 _let_14590 _let_14589 _let_14588 _let_14587 _let_14586 _let_14585 _let_14584 _let_14583 _let_14582 _let_14581 _let_14580 _let_14579 _let_14578 _let_14577 _let_14576 _let_14575 _let_14574 _let_14573 _let_14572 _let_14571 _let_14570 _let_14569 _let_14568 _let_14567 _let_14566 _let_14565 _let_14564 _let_14563 _let_14562 _let_14561 _let_14560 _let_14559 _let_14558 _let_14557 _let_14556 _let_14555 _let_14554 _let_14553 _let_14552 _let_14551 _let_14550 _let_14549 _let_14548 _let_14547 _let_14546 _let_14545 _let_14544 _let_14543 _let_14542 _let_14541 _let_14540 _let_14539 _let_14538 _let_14537 _let_14536 _let_14535 _let_14534 _let_14533 _let_14532 _let_14531 _let_14530 _let_14529 _let_14528 _let_14527 _let_14526 _let_14525 _let_14524 _let_14523 _let_14522 _let_14521 _let_14520 _let_14519 _let_14518 _let_14517 _let_14516 _let_14515 _let_14514 _let_14513 _let_14512 _let_14511 _let_14510 _let_14509 _let_14508 _let_14507 _let_14506 _let_14505 _let_14504 _let_14503 _let_14502 _let_14501 _let_14500 _let_14499 _let_14498 _let_14497 _let_14496 _let_14495 _let_14494 _let_14493 _let_14492 _let_14491 _let_14490 _let_14489 _let_14488 _let_14487 _let_14486 _let_14485 _let_14484 _let_14483 _let_14482 _let_14481 _let_14480 _let_14479 _let_14478 _let_14477 _let_14476 _let_14475 _let_14474 _let_14473 _let_14472 _let_14471 _let_14470 _let_14469 _let_14468 _let_14467 _let_14466 _let_14465 _let_14464 _let_14463 _let_14462 _let_14461 _let_14460 _let_14459 _let_14458 _let_14457 _let_14456 _let_14455 _let_14454 _let_14453 _let_14452 _let_14451 _let_14450 _let_14449 _let_14448 _let_14447 _let_14446 _let_14445 _let_14444 _let_14443 _let_14442 _let_14441 _let_14440 _let_14439 _let_14438 _let_14437 _let_14436 _let_14435 _let_14434 _let_14433 _let_14432 _let_14431 _let_14430 _let_14429 _let_14428 _let_14427 _let_14426 _let_14425 _let_14424 _let_14423 _let_14422 _let_14421 _let_14420 _let_14419 _let_14418 _let_14417 _let_14416 _let_14415 _let_14414 _let_14413 _let_14412 _let_14411 _let_14410 _let_14409 _let_14408 _let_14407 _let_14406 _let_14405 _let_14404 _let_14403 _let_14402 _let_14401 _let_14400 _let_14399 _let_14398 _let_14397 _let_14396 _let_14395 _let_14394 _let_14393 _let_14392 _let_14391 _let_14390 _let_14389 _let_14388 _let_14387 _let_14386 _let_14385 _let_14384 _let_14383 _let_14382 _let_14381 _let_14380 _let_14379 _let_14378 _let_14377 _let_14376 _let_14375 _let_14374 _let_14373 _let_14372 _let_14371 _let_14370 _let_14369 _let_14368 _let_14367 _let_14366 _let_14365 _let_14364 _let_14363 _let_14362 _let_14361 _let_14360 _let_14359 _let_14358 _let_14357 _let_14356 _let_14355 _let_14354 _let_14353 _let_14352 _let_14351 _let_14350 _let_14349 _let_14348 _let_14347 _let_14346 _let_14345 _let_14344 _let_14343 _let_14342 _let_14341 _let_14340 _let_14339 _let_14338 _let_14337 _let_14336 _let_14335 _let_14334 _let_14333 _let_14332 _let_14331 _let_14330 _let_14329 _let_14328 _let_14327 _let_14326 _let_14325 _let_14324 _let_14323 _let_14322 _let_14321 _let_14320 _let_14319 _let_14318 _let_14317 _let_14316 _let_14315 _let_14314 _let_14313 _let_14312 _let_14311 _let_14310 _let_14309 _let_14308 _let_14307 _let_14306 _let_14305 _let_14304 _let_14303 _let_14302 _let_14301 _let_14300 _let_14299 _let_14298 _let_14297 _let_14296 _let_14295 _let_14294 _let_14293 _let_14292 _let_14291 _let_14290 _let_14289 _let_14288 _let_14287 _let_14286 _let_14285 _let_14284 _let_14283 _let_14282 _let_14281 _let_14280 _let_14279 _let_14278 _let_14277 _let_14276 _let_14275 _let_14274 _let_14273 _let_14272 _let_14271 _let_14270 _let_14269 _let_14268 _let_14267 _let_14266 _let_14265 _let_14264 _let_14263 _let_14262 _let_14261 _let_14260 _let_14259 _let_14258 _let_14257 _let_14256 _let_14255 _let_14254 _let_14253 _let_14252 _let_14251 _let_14250 _let_14249 _let_14248 _let_14247 _let_14246 _let_14245 _let_14244 _let_14243 _let_14242 _let_14241 _let_14240 _let_14239 _let_14238 _let_14237 _let_14236 _let_14235 _let_14234 _let_14233 _let_14232 _let_14231 _let_14230 _let_14229 _let_14228 _let_14227 _let_14226 _let_14225 _let_14224 _let_14223 _let_14222 _let_14221 _let_14220 _let_14219 _let_14218 _let_14217 _let_14216 _let_14215 _let_14214 _let_14213 _let_14212 _let_14211 _let_14210 _let_14209 _let_14208 _let_14207 _let_14206 _let_14205 _let_14204 _let_14203 _let_14202 _let_14201 _let_14200 _let_14199 _let_14198 _let_14197 _let_14196 _let_14195 _let_14194 _let_14193 _let_14192 _let_14191 _let_14190 _let_14189 _let_14188 _let_14187 _let_14186 _let_14185 _let_14184 _let_14183 _let_14182 _let_14181 _let_14180 _let_14179 _let_14178 _let_14177 _let_14176 _let_14175 _let_14174 _let_14173 _let_14172 _let_14171 _let_14170 _let_14169 _let_14168 _let_14167 _let_14166 _let_14165 _let_14164 _let_14163 _let_14162 _let_14161 _let_14160 _let_14159 _let_14158 _let_14157 _let_14156 _let_14155 _let_14154 _let_14153 _let_14152 _let_14151 _let_14150 _let_14149 _let_14148 _let_14147 _let_14146 _let_14145 _let_14144 _let_14143 _let_14142 _let_14141 _let_14140 _let_14139 _let_14138 _let_14137 _let_14136 _let_14135 _let_14134 _let_14133 _let_14132 _let_14131 _let_14130 _let_14129 _let_14128 _let_14127 _let_14126 _let_14125 _let_14124 _let_14123 _let_14122 _let_14121 _let_14120 _let_14119 _let_14118 _let_14117 _let_14116 _let_14115 _let_14114 _let_14113 _let_14112 _let_14111 _let_14110 _let_14109 _let_14108 _let_14107 _let_14106 _let_14105 _let_14104 _let_14103 _let_14102 _let_14101 _let_14100 _let_14099 _let_14098 _let_14097 _let_14096 _let_14095 _let_14094 _let_14093 _let_14092 _let_14091 _let_14090 _let_14089 _let_14088 _let_14087 _let_14086 _let_14085 _let_14084 _let_14083 _let_14082 _let_14081 _let_14080 _let_14079 _let_14078 _let_14077 _let_14076 _let_14075 _let_14074 _let_14073 _let_14072 _let_14071 _let_14070 _let_14069 _let_14068 _let_14067 _let_14066 _let_14065 _let_14064 _let_14063 _let_14062 _let_14061 _let_14060 _let_14059 _let_14058 _let_14057 _let_14056 _let_14055 _let_14054 _let_14053 _let_14052 _let_14051 _let_14050 _let_14049 _let_14048 _let_14047 _let_14046 _let_14045 _let_14044 _let_14043 _let_14042 _let_14041 _let_14040 _let_14039 _let_14038 _let_14037 _let_14036 _let_14035 _let_14034 _let_14033 _let_14032 _let_14031 _let_14030 _let_14029 _let_14028 _let_14027 _let_14026 _let_14025 _let_14024 _let_14023 _let_14022 _let_14021 _let_14020 _let_14019 _let_14018 _let_14017 _let_14016 _let_14015 _let_14014 _let_14013 _let_14012 _let_14011 _let_14010 _let_14009 _let_14008 _let_14007 _let_14006 _let_14005 _let_14004 _let_14003 _let_14002 _let_14001 _let_14000 _let_13999 _let_13998 _let_13997 _let_13996 _let_13995 _let_13994 _let_13993 _let_13992 _let_13991 _let_13990 _let_13989 _let_13988 _let_13987 _let_13986 _let_13985 _let_13984 _let_13983 _let_13982 _let_13981 _let_13980 _let_13979 _let_13978 _let_13977 _let_13976 _let_13975 _let_13974 _let_13973 _let_13972 _let_13971 _let_13970 _let_13969 _let_13968 _let_13967 _let_13966 _let_13965 _let_13964 _let_13963 _let_13962 _let_13961 _let_13960 _let_13959 _let_13958 _let_13957 _let_13956 _let_13955 _let_13954 _let_13953 _let_13952 _let_13951 _let_13950 _let_13949 _let_13948 _let_13947 _let_13946 _let_13945 _let_13944 _let_13943 _let_13942 _let_13941 _let_13940 _let_13939 _let_13938 _let_13937 _let_13936 _let_13935 _let_13934 _let_13933 _let_13932 _let_13931 _let_13930 _let_13929 _let_13928 _let_13927 _let_13926 _let_13925 _let_13924 _let_13923 _let_13922 _let_13921 _let_13920 _let_13919 _let_13918 _let_13917 _let_13916 _let_13915 _let_13914 _let_13913 _let_13912 _let_13911 _let_13910 _let_13909 _let_13908 _let_13907 _let_13906 _let_13905 _let_13904 _let_13903 _let_13902 _let_13901 _let_13900 _let_13899 _let_13898 _let_13897 _let_13896 _let_13895 _let_13894 _let_13893 _let_13892 _let_13891 _let_13890 _let_13889 _let_13888 _let_13887 _let_13886 _let_13885 _let_13884 _let_13883 _let_13882 _let_13881 _let_13880 _let_13879 _let_13878 _let_13877 _let_13876 _let_13875 _let_13874 _let_13873 _let_13872 _let_13871 _let_13870 _let_13869 _let_13868 _let_13867 _let_13866 _let_13865 _let_13864 _let_13863 _let_13862 _let_13861 _let_13860 _let_13859 _let_13858 _let_13857 _let_13856 _let_13855 _let_13854 _let_13853 _let_13852 _let_13851 _let_13850 _let_13849 _let_13848 _let_13847 _let_13846 _let_13845 _let_13844 _let_13843 _let_13842 _let_13841 _let_13840 _let_13839 _let_13838 _let_13837 _let_13836 _let_13835 _let_13834 _let_13833 _let_13832 _let_13831 _let_13830 _let_13829 _let_13828 _let_13827 _let_13826 _let_13825 _let_13824 _let_13823 _let_13822 _let_13821 _let_13820 _let_13819 _let_13818 _let_13817 _let_13816 _let_13815 _let_13814 _let_13813 _let_13812 _let_13811 _let_13810 _let_13809 _let_13808 _let_13807 _let_13806 _let_13805 _let_13804 _let_13803 _let_13802 _let_13801 _let_13800 _let_13799 _let_13798 _let_13797 _let_13796 _let_13795 _let_13794 _let_13793 _let_13792 _let_13791 _let_13790 _let_13789 _let_13788 _let_13787 _let_13786 _let_13785 _let_13784 _let_13783 _let_13782 _let_13781 _let_13780 _let_13779 _let_13778 _let_13777 _let_13776 _let_13775 _let_13774 _let_13773 _let_13772 _let_13771 _let_13770 _let_13769 _let_13768 _let_13767 _let_13766 _let_13765 _let_13764 _let_13763 _let_13762 _let_13761 _let_13760 _let_13759 _let_13758 _let_13757 _let_13756 _let_13755 _let_13754 _let_13753 _let_13752 _let_13751 _let_13750 _let_13749 _let_13748 _let_13747 _let_13746 _let_13745 _let_13744 _let_13743 _let_13742 _let_13741 _let_13740 _let_13739 _let_13738 _let_13737 _let_13736 _let_13735 _let_13734 _let_13733 _let_13732 _let_13731 _let_13730 _let_13729 _let_13728 _let_13727 _let_13726 _let_13725 _let_13724 _let_13723 _let_13722 _let_13721 _let_13720 _let_13719 _let_13718 _let_13717 _let_13716 _let_13715 _let_13714 _let_13713 _let_13712 _let_13711 _let_13710 _let_13709 _let_13708 _let_13707 _let_13706 _let_13705 _let_13704 _let_13703 _let_13702 _let_13701 _let_13700 _let_13699 _let_13698 _let_13697 _let_13696 _let_13695 _let_13694 _let_13693 _let_13692 _let_13691 _let_13690 _let_13689 _let_13688 _let_13687 _let_13686 _let_13685 _let_13684 _let_13683 _let_13682 _let_13681 _let_13680 _let_13679 _let_13678 _let_13677 _let_13676 _let_13675 _let_13674 _let_13673 _let_13672 _let_13671 _let_13670 _let_13669 _let_13668 _let_13667 _let_13666 _let_13665 _let_13664 _let_13663 _let_13662 _let_13661 _let_13660 _let_13659 _let_13658 _let_13657 _let_13656 _let_13655 _let_13654 _let_13653 _let_13652 _let_13651 _let_13650 _let_13649 _let_13648 _let_13647 _let_13646 _let_13645 _let_13644 _let_13643 _let_13642 _let_13641 _let_13640 _let_13639 _let_13638 _let_13637 _let_13636 _let_13635 _let_13634 _let_13633 _let_13632 _let_13631 _let_13630 _let_13629 _let_13628 _let_13627 _let_13626 _let_13625 _let_13624 _let_13623 _let_13622 _let_13621 _let_13620 _let_13619 _let_13618 _let_13617 _let_13616 _let_13615 _let_13614 _let_13613 _let_13612 _let_13611 _let_13610 _let_13609 _let_13608 _let_13607 _let_13606 _let_13605 _let_13604 _let_13603 _let_13602 _let_13601 _let_13600 _let_13599 _let_13598 _let_13597 _let_13596 _let_13595 _let_13594 _let_13593 _let_13592 _let_13591 _let_13590 _let_13589 _let_13588 _let_13587 _let_13586 _let_13585 _let_13584 _let_13583 _let_13582 _let_13581 _let_13580 _let_13579 _let_13578 _let_13577 _let_13576 _let_13575 _let_13574 _let_13573 _let_13572 _let_13571 _let_13570 _let_13569 _let_13568 _let_13567 _let_13566 _let_13565 _let_13564 _let_13563 _let_13562 _let_13561 _let_13560 _let_13559 _let_13558 _let_13557 _let_13556 _let_13555 _let_13554 _let_13553 _let_13552 _let_13551 _let_13550 _let_13549 _let_13548 _let_13547 _let_13546 _let_13545 _let_13544 _let_13543 _let_13542 _let_13541 _let_13540 _let_13539 _let_13538 _let_13537 _let_13536 _let_13535 _let_13534 _let_13533 _let_13532 _let_13531 _let_13530 _let_13529 _let_13528 _let_13527 _let_13526 _let_13525 _let_13524 _let_13523 _let_13522 _let_13521 _let_13520 _let_13519 _let_13518 _let_13517 _let_13516 _let_13515 _let_13514 _let_13513 _let_13512 _let_13511 _let_13510 _let_13509 _let_13508 _let_13507 _let_13506 _let_13505 _let_13504 _let_13503 _let_13502 _let_13501 _let_13500 _let_13499 _let_13498 _let_13497 _let_13496 _let_13495 _let_13494 _let_13493 _let_13492 _let_13491 _let_13490 _let_13489 _let_13488 _let_13487 _let_13486 _let_13485 _let_13484 _let_13483 _let_13482 _let_13481 _let_13480 _let_13479 _let_13478 _let_13477 _let_13476 _let_13475 _let_13474 _let_13473 _let_13472 _let_13471 _let_13470 _let_13469 _let_13468 _let_13467 _let_13466 _let_13465 _let_13464 _let_13463 _let_13462 _let_13461 _let_13460 _let_13459 _let_13458 _let_13457 _let_13456 _let_13455 _let_13454 _let_13453 _let_13452 _let_13451 _let_13450 _let_13449 _let_13448 _let_13447 _let_13446 _let_13445 _let_13444 _let_13443 _let_13442 _let_13441 _let_13440 _let_13439 _let_13438 _let_13437 _let_13436 _let_13435 _let_13434 _let_13433 _let_13432 _let_13431 _let_13430 _let_13429 _let_13428 _let_13427 _let_13426 _let_13425 _let_13424 _let_13423 _let_13422 _let_13421 _let_13420 _let_13419 _let_13418 _let_13417 _let_13416 _let_13415 _let_13414 _let_13413 _let_13412 _let_13411 _let_13410 _let_13409 _let_13408 _let_13407 _let_13406 _let_13405 _let_13404 _let_13403 _let_13402 _let_13401 _let_13400 _let_13399 _let_13398 _let_13397 _let_13396 _let_13395 _let_13394 _let_13393 _let_13392 _let_13391 _let_13390 _let_13389 _let_13388 _let_13387 _let_13386 _let_13385 _let_13384 _let_13383 _let_13382 _let_13381 _let_13380 _let_13379 _let_13378 _let_13377 _let_13376 _let_13375 _let_13374 _let_13373 _let_13372 _let_13371 _let_13370 _let_13369 _let_13368 _let_13367 _let_13366 _let_13365 _let_13364 _let_13363 _let_13362 _let_13361 _let_13360 _let_13359 _let_13358 _let_13357 _let_13356 _let_13355 _let_13354 _let_13353 _let_13352 _let_13351 _let_13350 _let_13349 _let_13348 _let_13347 _let_13346 _let_13345 _let_13344 _let_13343 _let_13342 _let_13341 _let_13340 _let_13339 _let_13338 _let_13337 _let_13336 _let_13335 _let_13334 _let_13333 _let_13332 _let_13331 _let_13330 _let_13329 _let_13328 _let_13327 _let_13326 _let_13325 _let_13324 _let_13323 _let_13322 _let_13321 _let_13320 _let_13319 _let_13318 _let_13317 _let_13316 _let_13315 _let_13314 _let_13313 _let_13312 _let_13311 _let_13310 _let_13309 _let_13308 _let_13307 _let_13306 _let_13305 _let_13304 _let_13303 _let_13302 _let_13301 _let_13300 _let_13299 _let_13298 _let_13297 _let_13296 _let_13295 _let_13294 _let_13293 _let_13292 _let_13291 _let_13290 _let_13289 _let_13288 _let_13287 _let_13286 _let_13285 _let_13284 _let_13283 _let_13282 _let_13281 _let_13280 _let_13279 _let_13278 _let_13277 _let_13276 _let_13275 _let_13274 _let_13273 _let_13272 _let_13271 _let_13270 _let_13269 _let_13268 _let_13267 _let_13266 _let_13265 _let_13264 _let_13263 _let_13262 _let_13261 _let_13260 _let_13259 _let_13258 _let_13257 _let_13256 _let_13255 _let_13254 _let_13253 _let_13252 _let_13251 _let_13250 _let_13249 _let_13248 _let_13247 _let_13246 _let_13245 _let_13244 _let_13243 _let_13242 _let_13241 _let_13240 _let_13239 _let_13238 _let_13237 _let_13236 _let_13235 _let_13234 _let_13233 _let_13232 _let_13231 _let_13230 _let_13229 _let_13228 _let_13227 _let_13226 _let_13225 _let_13224 _let_13223 _let_13222 _let_13221 _let_13220 _let_13219 _let_13218 _let_13217 _let_13216 _let_13215 _let_13214 _let_13213 _let_13212 _let_13211 _let_13210 _let_13209 _let_13208 _let_13207 _let_13206 _let_13205 _let_13204 _let_13203 _let_13202 _let_13201 _let_13200 _let_13199 _let_13198 _let_13197 _let_13196 _let_13195 _let_13194 _let_13193 _let_13192 _let_13191 _let_13190 _let_13189 _let_13188 _let_13187 _let_13186 _let_13185 _let_13184 _let_13183 _let_13182 _let_13181 _let_13180 _let_13179 _let_13178 _let_13177 _let_13176 _let_13175 _let_13174 _let_13173 _let_13172 _let_13171 _let_13170 _let_13169 _let_13168 _let_13167 _let_13166 _let_13165 _let_13164 _let_13163 _let_13162 _let_13161 _let_13160 _let_13159 _let_13158 _let_13157 _let_13156 _let_13155 _let_13154 _let_13153 _let_13152 _let_13151 _let_13150 _let_13149 _let_13148 _let_13147 _let_13146 _let_13145 _let_13144 _let_13143 _let_13142 _let_13141 _let_13140 _let_13139 _let_13138 _let_13137 _let_13136 _let_13135 _let_13134 _let_13133 _let_13132 _let_13131 _let_13130 _let_13129 _let_13128 _let_13127 _let_13126 _let_13125 _let_13124 _let_13123 _let_13122 _let_13121 _let_13120 _let_13119 _let_13118 _let_13117 _let_13116 _let_13115 _let_13114 _let_13113 _let_13112 _let_13111 _let_13110 _let_13109 _let_13108 _let_13107 _let_13106 _let_13105 _let_13104 _let_13103 _let_13102 _let_13101 _let_13100 _let_13099 _let_13098 _let_13097 _let_13096 _let_13095 _let_13094 _let_13093 _let_13092 _let_13091 _let_13090 _let_13089 _let_13088 _let_13087 _let_13086 _let_13085 _let_13084 _let_13083 _let_13082 _let_13081 _let_13080 _let_13079 _let_13078 _let_13077 _let_13076 _let_13075 _let_13074 _let_13073 _let_13072 _let_13071 _let_13070 _let_13069 _let_13068 _let_13067 _let_13066 _let_13065 _let_13064 _let_13063 _let_13062 _let_13061 _let_13060 _let_13059 _let_13058 _let_13057 _let_13056 _let_13055 _let_13054 _let_13053 _let_13052 _let_13051 _let_13050 _let_13049 _let_13048 _let_13047 _let_13046 _let_13045 _let_13044 _let_13043 _let_13042 _let_13041 _let_13040 _let_13039 _let_13038 _let_13037 _let_13036 _let_13035 _let_13034 _let_13033 _let_13032 _let_13031 _let_13030 _let_13029 _let_13028 _let_13027 _let_13026 _let_13025 _let_13024 _let_13023 _let_13022 _let_13021 _let_13020 _let_13019 _let_13018 _let_13017 _let_13016 _let_13015 _let_13014 _let_13013 _let_13012 _let_13011 _let_13010 _let_13009 _let_13008 _let_13007 _let_13006 _let_13005 _let_13004 _let_13003 _let_13002 _let_13001 _let_13000 _let_12999 _let_12998 _let_12997 _let_12996 _let_12995 _let_12994 _let_12993 _let_12992 _let_12991 _let_12990 _let_12989 _let_12988 _let_12987 _let_12986 _let_12985 _let_12984 _let_12983 _let_12982 _let_12981 _let_12980 _let_12979 _let_12978 _let_12977 _let_12976 _let_12975 _let_12974 _let_12973 _let_12972 _let_12971 _let_12970 _let_12969 _let_12968 _let_12967 _let_12966 _let_12965 _let_12964 _let_12963 _let_12962 _let_12961 _let_12960 _let_12959 _let_12958 _let_12957 _let_12956 _let_12955 _let_12954 _let_12953 _let_12952 _let_12951 _let_12950 _let_12949 _let_12948 _let_12947 _let_12946 _let_12945 _let_12944 _let_12943 _let_12942 _let_12941 _let_12940 _let_12939 _let_12938 _let_12937 _let_12936 _let_12935 _let_12934 _let_12933 _let_12932 _let_12931 _let_12930 _let_12929 _let_12928 _let_12927 _let_12926 _let_12925 _let_12924 _let_12923 _let_12922 _let_12921 _let_12920 _let_12919 _let_12918 _let_12917 _let_12916 _let_12915 _let_12914 _let_12913 _let_12912 _let_12911 _let_12910 _let_12909 _let_12908 _let_12907 _let_12906 _let_12905 _let_12904 _let_12903 _let_12902 _let_12901 _let_12900 _let_12899 _let_12898 _let_12897 _let_12896 _let_12895 _let_12894 _let_12893 _let_12892 _let_12891 _let_12890 _let_12889 _let_12888 _let_12887 _let_12886 _let_12885 _let_12884 _let_12883 _let_12882 _let_12881 _let_12880 _let_12879 _let_12878 _let_12877 _let_12876 _let_12875 _let_12874 _let_12873 _let_12872 _let_12871 _let_12870 _let_12869 _let_12868 _let_12867 _let_12866 _let_12865 _let_12864 _let_12863 _let_12862 _let_12861 _let_12860 _let_12859 _let_12858 _let_12857 _let_12856 _let_12855 _let_12854 _let_12853 _let_12852 _let_12851 _let_12850 _let_12849 _let_12848 _let_12847 _let_12846 _let_12845 _let_12844 _let_12843 _let_12842 _let_12841 _let_12840 _let_12839 _let_12838 _let_12837 _let_12836 _let_12835 _let_12834 _let_12833 _let_12832 _let_12831 _let_12830 _let_12829 _let_12828 _let_12827 _let_12826 _let_12825 _let_12824 _let_12823 _let_12822 _let_12821 _let_12820 _let_12819 _let_12818 _let_12817 _let_12816 _let_12815 _let_12814 _let_12813 _let_12812 _let_12811 _let_12810 _let_12809 _let_12808 _let_12807 _let_12806 _let_12805 _let_12804 _let_12803 _let_12802 _let_12801 _let_12800 _let_12799 _let_12798 _let_12797 _let_12796 _let_12795 _let_12794 _let_12793 _let_12792 _let_12791 _let_12790 _let_12789 _let_12788 _let_12787 _let_12786 _let_12785 _let_12784 _let_12783 _let_12782 _let_12781 _let_12780 _let_12779 _let_12778 _let_12777 _let_12776 _let_12775 _let_12774 _let_12773 _let_12772 _let_12771 _let_12770 _let_12769 _let_12768 _let_12767 _let_12766 _let_12765 _let_12764 _let_12763 _let_12762 _let_12761 _let_12760 _let_12759 _let_12758 _let_12757 _let_12756 _let_12755 _let_12754 _let_12753 _let_12752 _let_12751 _let_12750 _let_12749 _let_12748 _let_12747 _let_12746 _let_12745 _let_12744 _let_12743 _let_12742 _let_12741 _let_12740 _let_12739 _let_12738 _let_12737 _let_12736 _let_12735 _let_12734 _let_12733 _let_12732 _let_12731 _let_12730 _let_12729 _let_12728 _let_12727 _let_12726 _let_12725 _let_12724 _let_12723 _let_12722 _let_12721 _let_12720 _let_12719 _let_12718 _let_12717 _let_12716 _let_12715 _let_12714 _let_12713 _let_12712 _let_12711 _let_12710 _let_12709 _let_12708 _let_12707 _let_12706 _let_12705 _let_12704 _let_12703 _let_12702 _let_12701 _let_12700 _let_12699 _let_12698 _let_12697 _let_12696 _let_12695 _let_12694 _let_12693 _let_12692 _let_12691 _let_12690 _let_12689 _let_12688 _let_12687 _let_12686 _let_12685 _let_12684 _let_12683 _let_12682 _let_12681 _let_12680 _let_12679 _let_12678 _let_12677 _let_12676 _let_12675 _let_12674 _let_12673 _let_12672 _let_12671 _let_12670 _let_12669 _let_12668 _let_12667 _let_12666 _let_12665 _let_12664 _let_12663 _let_12662 _let_12661 _let_12660 _let_12659 _let_12658 _let_12657 _let_12656 _let_12655 _let_12654 _let_12653 _let_12652 _let_12651 _let_12650 _let_12649 _let_12648 _let_12647 _let_12646 _let_12645 _let_12644 _let_12643 _let_12642 _let_12641 _let_12640 _let_12639 _let_12638 _let_12637 _let_12636 _let_12635 _let_12634 _let_12633 _let_12632 _let_12631 _let_12630 _let_12629 _let_12628 _let_12627 _let_12626 _let_12625 _let_12624 _let_12623 _let_12622 _let_12621 _let_12620 _let_12619 _let_12618 _let_12617 _let_12616 _let_12615 _let_12614 _let_12613 _let_12612 _let_12611 _let_12610 _let_12609 _let_12608 _let_12607 _let_12606 _let_12605 _let_12604 _let_12603 _let_12602 _let_12601 _let_12600 _let_12599 _let_12598 _let_12597 _let_12596 _let_12595 _let_12594 _let_12593 _let_12592 _let_12591 _let_12590 _let_12589 _let_12588 _let_12587 _let_12586 _let_12585 _let_12584 _let_12583 _let_12582 _let_12581 _let_12580 _let_12579 _let_12578 _let_12577 _let_12576 _let_12575 _let_12574 _let_12573 _let_12572 _let_12571 _let_12570 _let_12569 _let_12568 _let_12567 _let_12566 _let_12565 _let_12564 _let_12563 _let_12562 _let_12561 _let_12560 _let_12559 _let_12558 _let_12557 _let_12556 _let_12555 _let_12554 _let_12553 _let_12552 _let_12551 _let_12550 _let_12549 _let_12548 _let_12547 _let_12546 _let_12545 _let_12544 _let_12543 _let_12542 _let_12541 _let_12540 _let_12539 _let_12538 _let_12537 _let_12536 _let_12535 _let_12534 _let_12533 _let_12532 _let_12531 _let_12530 _let_12529 _let_12528 _let_12527 _let_12526 _let_12525 _let_12524 _let_12523 _let_12522 _let_12521 _let_12520 _let_12519 _let_12518 _let_12517 _let_12516 _let_12515 _let_12514 _let_12513 _let_12512 _let_12511 _let_12510 _let_12509 _let_12508 _let_12507 _let_12506 _let_12505 _let_12504 _let_12503 _let_12502 _let_12501 _let_12500 _let_12499 _let_12498 _let_12497 _let_12496 _let_12495 _let_12494 _let_12493 _let_12492 _let_12491 _let_12490 _let_12489 _let_12488 _let_12487 _let_12486 _let_12485 _let_12484 _let_12483 _let_12482 _let_12481 _let_12480 _let_12479 _let_12478 _let_12477 _let_12476 _let_12475 _let_12474 _let_12473 _let_12472 _let_12471 _let_12470 _let_12469 _let_12468 _let_12467 _let_12466 _let_12465 _let_12464 _let_12463 _let_12462 _let_12461 _let_12460 _let_12459 _let_12458 _let_12457 _let_12456 _let_12455 _let_12454 _let_12453 _let_12452 _let_12451 _let_12450 _let_12449 _let_12448 _let_12447 _let_12446 _let_12445 _let_12444 _let_12443 _let_12442 _let_12441 _let_12440 _let_12439 _let_12438 _let_12437 _let_12436 _let_12435 _let_12434 _let_12433 _let_12432 _let_12431 _let_12430 _let_12429 _let_12428 _let_12427 _let_12426 _let_12425 _let_12424 _let_12423 _let_12422 _let_12421 _let_12420 _let_12419 _let_12418 _let_12417 _let_12416 _let_12415 _let_12414 _let_12413 _let_12412 _let_12411 _let_12410 _let_12409 _let_12408 _let_12407 _let_12406 _let_12405 _let_12404 _let_12403 _let_12402 _let_12401 _let_12400 _let_12399 _let_12398 _let_12397 _let_12396 _let_12395 _let_12394 _let_12393 _let_12392 _let_12391 _let_12390 _let_12389 _let_12388 _let_12387 _let_12386 _let_12385 _let_12384 _let_12383 _let_12382 _let_12381 _let_12380 _let_12379 _let_12378 _let_12377 _let_12376 _let_12375 _let_12374 _let_12373 _let_12372 _let_12371 _let_12370 _let_12369 _let_12368 _let_12367 _let_12366 _let_12365 _let_12364 _let_12363 _let_12362 _let_12361 _let_12360 _let_12359 _let_12358 _let_12357 _let_12356 _let_12355 _let_12354 _let_12353 _let_12352 _let_12351 _let_12350 _let_12349 _let_12348 _let_12347 _let_12346 _let_12345 _let_12344 _let_12343 _let_12342 _let_12341 _let_12340 _let_12339 _let_12338 _let_12337 _let_12336 _let_12335 _let_12334 _let_12333 _let_12332 _let_12331 _let_12330 _let_12329 _let_12328 _let_12327 _let_12326 _let_12325 _let_12324 _let_12323 _let_12322 _let_12321 _let_12320 _let_12319 _let_12318 _let_12317 _let_12316 _let_12315 _let_12314 _let_12313 _let_12312 _let_12311 _let_12310 _let_12309 _let_12308 _let_12307 _let_12306 _let_12305 _let_12304 _let_12303 _let_12302 _let_12301 _let_12300 _let_12299 _let_12298 _let_12297 _let_12296 _let_12295 _let_12294 _let_12293 _let_12292 _let_12291 _let_12290 _let_12289 _let_12288 _let_12287 _let_12286 _let_12285 _let_12284 _let_12283 _let_12282 _let_12281 _let_12280 _let_12279 _let_12278 _let_12277 _let_12276 _let_12275 _let_12274 _let_12273 _let_12272 _let_12271 _let_12270 _let_12269 _let_12268 _let_12267 _let_12266 _let_12265 _let_12264 _let_12263 _let_12262 _let_12261 _let_12260 _let_12259 _let_12258 _let_12257 _let_12256 _let_12255 _let_12254 _let_12253 _let_12252 _let_12251 _let_12250 _let_12249 _let_12248 _let_12247 _let_12246 _let_12245 _let_12244 _let_12243 _let_12242 _let_12241 _let_12240 _let_12239 _let_12238 _let_12237 _let_12236 _let_12235 _let_12234 _let_12233 _let_12232 _let_12231 _let_12230 _let_12229 _let_12228 _let_12227 _let_12226 _let_12225 _let_12224 _let_12223 _let_12222 _let_12221 _let_12220 _let_12219 _let_12218 _let_12217 _let_12216 _let_12215 _let_12214 _let_12213 _let_12212 _let_12211 _let_12210 _let_12209 _let_12208 _let_12207 _let_12206 _let_12205 _let_12204 _let_12203 _let_12202 _let_12201 _let_12200 _let_12199 _let_12198 _let_12197 _let_12196 _let_12195 _let_12194 _let_12193 _let_12192 _let_12191 _let_12190 _let_12189 _let_12188 _let_12187 _let_12186 _let_12185 _let_12184 _let_12183 _let_12182 _let_12181 _let_12180 _let_12179 _let_12178 _let_12177 _let_12176 _let_12175 _let_12174 _let_12173 _let_12172 _let_12171 _let_12170 _let_12169 _let_12168 _let_12167 _let_12166 _let_12165 _let_12164 _let_12163 _let_12162 _let_12161 _let_12160 _let_12159 _let_12158 _let_12157 _let_12156 _let_12155 _let_12154 _let_12153 _let_12152 _let_12151 _let_12150 _let_12149 _let_12148 _let_12147 _let_12146 _let_12145 _let_12144 _let_12143 _let_12142 _let_12141 _let_12140 _let_12139 _let_12138 _let_12137 _let_12136 _let_12135 _let_12134 _let_12133 _let_12132 _let_12131 _let_12130 _let_12129 _let_12128 _let_12127 _let_12126 _let_12125 _let_12124 _let_12123 _let_12122 _let_12121 _let_12120 _let_12119 _let_12118 _let_12117 _let_12116 _let_12115 _let_12114 _let_12113 _let_12112 _let_12111 _let_12110 _let_12109 _let_12108 _let_12107 _let_12106 _let_12105 _let_12104 _let_12103 _let_12102 _let_12101 _let_12100 _let_12099 _let_12098 _let_12097 _let_12096 _let_12095 _let_12094 _let_12093 _let_12092 _let_12091 _let_12090 _let_12089 _let_12088 _let_12087 _let_12086 _let_12085 _let_12084 _let_12083 _let_12082 _let_12081 _let_12080 _let_12079 _let_12078 _let_12077 _let_12076 _let_12075 _let_12074 _let_12073 _let_12072 _let_12071 _let_12070 _let_12069 _let_12068 _let_12067 _let_12066 _let_12065 _let_12064 _let_12063 _let_12062 _let_12061 _let_12060 _let_12059 _let_12058 _let_12057 _let_12056 _let_12055 _let_12054 _let_12053 _let_12052 _let_12051 _let_12050 _let_12049 _let_12048 _let_12047 _let_12046 _let_12045 _let_12044 _let_12043 _let_12042 _let_12041 _let_12040 _let_12039 _let_12038 _let_12037 _let_12036 _let_12035 _let_12034 _let_12033 _let_12032 _let_12031 _let_12030 _let_12029 _let_12028 _let_12027 _let_12026 _let_12025 _let_12024 _let_12023 _let_12022 _let_12021 _let_12020 _let_12019 _let_12018 _let_12017 _let_12016 _let_12015 _let_12014 _let_12013 _let_12012 _let_12011 _let_12010 _let_12009 _let_12008 _let_12007 _let_12006 _let_12005 _let_12004 _let_12003 _let_12002 _let_12001 _let_12000 _let_11999 _let_11998 _let_11997 _let_11996 _let_11995 _let_11994 _let_11993 _let_11992 _let_11991 _let_11990 _let_11989 _let_11988 _let_11987 _let_11986 _let_11985 _let_11984 _let_11983 _let_11982 _let_11981 _let_11980 _let_11979 _let_11978 _let_11977 _let_11976 _let_11975 _let_11974 _let_11973 _let_11972 _let_11971 _let_11970 _let_11969 _let_11968 _let_11967 _let_11966 _let_11965 _let_11964 _let_11963 _let_11962 _let_11961 _let_11960 _let_11959 _let_11958 _let_11957 _let_11956 _let_11955 _let_11954 _let_11953 _let_11952 _let_11951 _let_11950 _let_11949 _let_11948 _let_11947 _let_11946 _let_11945 _let_11944 _let_11943 _let_11942 _let_11941 _let_11940 _let_11939 _let_11938 _let_11937 _let_11936 _let_11935 _let_11934 _let_11933 _let_11932 _let_11931 _let_11930 _let_11929 _let_11928 _let_11927 _let_11926 _let_11925 _let_11924 _let_11923 _let_11922 _let_11921 _let_11920 _let_11919 _let_11918 _let_11917 _let_11916 _let_11915 _let_11914 _let_11913 _let_11912 _let_11911 _let_11910 _let_11909 _let_11908 _let_11907 _let_11906 _let_11905 _let_11904 _let_11903 _let_11902 _let_11901 _let_11900 _let_11899 _let_11898 _let_11897 _let_11896 _let_11895 _let_11894 _let_11893 _let_11892 _let_11891 _let_11890 _let_11889 _let_11888 _let_11887 _let_11886 _let_11885 _let_11884 _let_11883 _let_11882 _let_11881 _let_11880 _let_11879 _let_11878 _let_11877 _let_11876 _let_11875 _let_11874 _let_11873 _let_11872 _let_11871 _let_11870 _let_11869 _let_11868 _let_11867 _let_11866 _let_11865 _let_11864 _let_11863 _let_11862 _let_11861 _let_11860 _let_11859 _let_11858 _let_11857 _let_11856 _let_11855 _let_11854 _let_11853 _let_11852 _let_11851 _let_11850 _let_11849 _let_11848 _let_11847 _let_11846 _let_11845 _let_11844 _let_11843 _let_11842 _let_11841 _let_11840 _let_11839 _let_11838 _let_11837 _let_11836 _let_11835 _let_11834 _let_11833 _let_11832 _let_11831 _let_11830 _let_11829 _let_11828 _let_11827 _let_11826 _let_11825 _let_11824 _let_11823 _let_11822 _let_11821 _let_11820 _let_11819 _let_11818 _let_11817 _let_11816 _let_11815 _let_11814 _let_11813 _let_11812 _let_11811 _let_11810 _let_11809 _let_11808 _let_11807 _let_11806 _let_11805 _let_11804 _let_11803 _let_11802 _let_11801 _let_11800 _let_11799 _let_11798 _let_11797 _let_11796 _let_11795 _let_11794 _let_11793 _let_11792 _let_11791 _let_11790 _let_11789 _let_11788 _let_11787 _let_11786 _let_11785 _let_11784 _let_11783 _let_11782 _let_11781 _let_11780 _let_11779 _let_11778 _let_11777 _let_11776 _let_11775 _let_11774 _let_11773 _let_11772 _let_11771 _let_11770 _let_11769 _let_11768 _let_11767 _let_11766 _let_11765 _let_11764 _let_11763 _let_11762 _let_11761 _let_11760 _let_11759 _let_11758 _let_11757 _let_11756 _let_11755 _let_11754 _let_11753 _let_11752 _let_11751 _let_11750 _let_11749 _let_11748 _let_11747 _let_11746 _let_11745 _let_11744 _let_11743 _let_11742 _let_11741 _let_11740 _let_11739 _let_11738 _let_11737 _let_11736 _let_11735 _let_11734 _let_11733 _let_11732 _let_11731 _let_11730 _let_11729 _let_11728 _let_11727 _let_11726 _let_11725 _let_11724 _let_11723 _let_11722 _let_11721 _let_11720 _let_11719 _let_11718 _let_11717 _let_11716 _let_11715 _let_11714 _let_11713 _let_11712 _let_11711 _let_11710 _let_11709 _let_11708 _let_11707 _let_11706 _let_11705 _let_11704 _let_11703 _let_11702 _let_11701 _let_11700 _let_11699 _let_11698 _let_11697 _let_11696 _let_11695 _let_11694 _let_11693 _let_11692 _let_11691 _let_11690 _let_11689 _let_11688 _let_11687 _let_11686 _let_11685 _let_11684 _let_11683 _let_11682 _let_11681 _let_11680 _let_11679 _let_11678 _let_11677 _let_11676 _let_11675 _let_11674 _let_11673 _let_11672 _let_11671 _let_11670 _let_11669 _let_11668 _let_11667 _let_11666 _let_11665 _let_11664 _let_11663 _let_11662 _let_11661 _let_11660 _let_11659 _let_11658 _let_11657 _let_11656 _let_11655 _let_11654 _let_11653 _let_11652 _let_11651 _let_11650 _let_11649 _let_11648 _let_11647 _let_11646 _let_11645 _let_11644 _let_11643 _let_11642 _let_11641 _let_11640 _let_11639 _let_11638 _let_11637 _let_11636 _let_11635 _let_11634 _let_11633 _let_11632 _let_11631 _let_11630 _let_11629 _let_11628 _let_11627 _let_11626 _let_11625 _let_11624 _let_11623 _let_11622 _let_11621 _let_11620 _let_11619 _let_11618 _let_11617 _let_11616 _let_11615 _let_11614 _let_11613 _let_11612 _let_11611 _let_11610 _let_11609 _let_11608 _let_11607 _let_11606 _let_11605 _let_11604 _let_11603 _let_11602 _let_11601 _let_11600 _let_11599 _let_11598 _let_11597 _let_11596 _let_11595 _let_11594 _let_11593 _let_11592 _let_11591 _let_11590 _let_11589 _let_11588 _let_11587 _let_11586 _let_11585 _let_11584 _let_11583 _let_11582 _let_11581 _let_11580 _let_11579 _let_11578 _let_11577 _let_11576 _let_11575 _let_11574 _let_11573 _let_11572 _let_11571 _let_11570 _let_11569 _let_11568 _let_11567 _let_11566 _let_11565 _let_11564 _let_11563 _let_11562 _let_11561 _let_11560 _let_11559 _let_11558 _let_11557 _let_11556 _let_11555 _let_11554 _let_11553 _let_11552 _let_11551 _let_11550 _let_11549 _let_11548 _let_11547 _let_11546 _let_11545 _let_11544 _let_11543 _let_11542 _let_11541 _let_11540 _let_11539 _let_11538 _let_11537 _let_11536 _let_11535 _let_11534 _let_11533 _let_11532 _let_11531 _let_11530 _let_11529 _let_11528 _let_11527 _let_11526 _let_11525 _let_11524 _let_11523 _let_11522 _let_11521 _let_11520 _let_11519 _let_11518 _let_11517 _let_11516 _let_11515 _let_11514 _let_11513 _let_11512 _let_11511 _let_11510 _let_11509 _let_11508 _let_11507 _let_11506 _let_11505 _let_11504 _let_11503 _let_11502 _let_11501 _let_11500 _let_11499 _let_11498 _let_11497 _let_11496 _let_11495 _let_11494 _let_11493 _let_11492 _let_11491 _let_11490 _let_11489 _let_11488 _let_11487 _let_11486 _let_11485 _let_11484 _let_11483 _let_11482 _let_11481 _let_11480 _let_11479 _let_11478 _let_11477 _let_11476 _let_11475 _let_11474 _let_11473 _let_11472 _let_11471 _let_11470 _let_11469 _let_11468 _let_11467 _let_11466 _let_11465 _let_11464 _let_11463 _let_11462 _let_11461 _let_11460 _let_11459 _let_11458 _let_11457 _let_11456 _let_11455 _let_11454 _let_11453 _let_11452 _let_11451 _let_11450 _let_11449 _let_11448 _let_11447 _let_11446 _let_11445 _let_11444 _let_11443 _let_11442 _let_11441 _let_11440 _let_11439 _let_11438 _let_11437 _let_11436 _let_11435 _let_11434 _let_11433 _let_11432 _let_11431 _let_11430 _let_11429 _let_11428 _let_11427 _let_11426 _let_11425 _let_11424 _let_11423 _let_11422 _let_11421 _let_11420 _let_11419 _let_11418 _let_11417 _let_11416 _let_11415 _let_11414 _let_11413 _let_11412 _let_11411 _let_11410 _let_11409 _let_11408 _let_11407 _let_11406 _let_11405 _let_11404 _let_11403 _let_11402 _let_11401 _let_11400 _let_11399 _let_11398 _let_11397 _let_11396 _let_11395 _let_11394 _let_11393 _let_11392 _let_11391 _let_11390 _let_11389 _let_11388 _let_11387 _let_11386 _let_11385 _let_11384 _let_11383 _let_11382 _let_11381 _let_11380 _let_11379 _let_11378 _let_11377 _let_11376 _let_11375 _let_11374 _let_11373 _let_11372 _let_11371 _let_11370 _let_11369 _let_11368 _let_11367 _let_11366 _let_11365 _let_11364 _let_11363 _let_11362 _let_11361 _let_11360 _let_11359 _let_11358 _let_11357 _let_11356 _let_11355 _let_11354 _let_11353 _let_11352 _let_11351 _let_11350 _let_11349 _let_11348 _let_11347 _let_11346 _let_11345 _let_11344 _let_11343 _let_11342 _let_11341 _let_11340 _let_11339 _let_11338 _let_11337 _let_11336 _let_11335 _let_11334 _let_11333 _let_11332 _let_11331 _let_11330 _let_11329 _let_11328 _let_11327 _let_11326 _let_11325 _let_11324 _let_11323 _let_11322 _let_11321 _let_11320 _let_11319 _let_11318 _let_11317 _let_11316 _let_11315 _let_11314 _let_11313 _let_11312 _let_11311 _let_11310 _let_11309 _let_11308 _let_11307 _let_11306 _let_11305 _let_11304 _let_11303 _let_11302 _let_11301 _let_11300 _let_11299 _let_11298 _let_11297 _let_11296 _let_11295 _let_11294 _let_11293 _let_11292 _let_11291 _let_11290 _let_11289 _let_11288 _let_11287 _let_11286 _let_11285 _let_11284 _let_11283 _let_11282 _let_11281 _let_11280 _let_11279 _let_11278 _let_11277 _let_11276 _let_11275 _let_11274 _let_11273 _let_11272 _let_11271 _let_11270 _let_11269 _let_11268 _let_11267 _let_11266 _let_11265 _let_11264 _let_11263 _let_11262 _let_11261 _let_11260 _let_11259 _let_11258 _let_11257 _let_11256 _let_11255 _let_11254 _let_11253 _let_11252 _let_11251 _let_11250 _let_11249 _let_11248 _let_11247 _let_11246 _let_11245 _let_11244 _let_11243 _let_11242 _let_11241 _let_11240 _let_11239 _let_11238 _let_11237 _let_11236 _let_11235 _let_11234 _let_11233 _let_11232 _let_11231 _let_11230 _let_11229 _let_11228 _let_11227 _let_11226 _let_11225 _let_11224 _let_11223 _let_11222 _let_11221 _let_11220 _let_11219 _let_11218 _let_11217 _let_11216 _let_11215 _let_11214 _let_11213 _let_11212 _let_11211 _let_11210 _let_11209 _let_11208 _let_11207 _let_11206 _let_11205 _let_11204 _let_11203 _let_11202 _let_11201 _let_11200 _let_11199 _let_11198 _let_11197 _let_11196 _let_11195 _let_11194 _let_11193 _let_11192 _let_11191 _let_11190 _let_11189 _let_11188 _let_11187 _let_11186 _let_11185 _let_11184 _let_11183 _let_11182 _let_11181 _let_11180 _let_11179 _let_11178 _let_11177 _let_11176 _let_11175 _let_11174 _let_11173 _let_11172 _let_11171 _let_11170 _let_11169 _let_11168 _let_11167 _let_11166 _let_11165 _let_11164 _let_11163 _let_11162 _let_11161 _let_11160 _let_11159 _let_11158 _let_11157 _let_11156 _let_11155 _let_11154 _let_11153 _let_11152 _let_11151 _let_11150 _let_11149 _let_11148 _let_11147 _let_11146 _let_11145 _let_11144 _let_11143 _let_11142 _let_11141 _let_11140 _let_11139 _let_11138 _let_11137 _let_11136 _let_11135 _let_11134 _let_11133 _let_11132 _let_11131 _let_11130 _let_11129 _let_11128 _let_11127 _let_11126 _let_11125 _let_11124 _let_11123 _let_11122 _let_11121 _let_11120 _let_11119 _let_11118 _let_11117 _let_11116 _let_11115 _let_11114 _let_11113 _let_11112 _let_11111 _let_11110 _let_11109 _let_11108 _let_11107 _let_11106 _let_11105 _let_11104 _let_11103 _let_11102 _let_11101 _let_11100 _let_11099 _let_11098 _let_11097 _let_11096 _let_11095 _let_11094 _let_11093 _let_11092 _let_11091 _let_11090 _let_11089 _let_11088 _let_11087 _let_11086 _let_11085 _let_11084 _let_11083 _let_11082 _let_11081 _let_11080 _let_11079 _let_11078 _let_11077 _let_11076 _let_11075 _let_11074 _let_11073 _let_11072 _let_11071 _let_11070 _let_11069 _let_11068 _let_11067 _let_11066 _let_11065 _let_11064 _let_11063 _let_11062 _let_11061 _let_11060 _let_11059 _let_11058 _let_11057 _let_11056 _let_11055 _let_11054 _let_11053 _let_11052 _let_11051 _let_11050 _let_11049 _let_11048 _let_11047 _let_11046 _let_11045 _let_11044 _let_11043 _let_11042 _let_11041 _let_11040 _let_11039 _let_11038 _let_11037 _let_11036 _let_11035 _let_11034 _let_11033 _let_11032 _let_11031 _let_11030 _let_11029 _let_11028 _let_11027 _let_11026 _let_11025 _let_11024 _let_11023 _let_11022 _let_11021 _let_11020 _let_11019 _let_11018 _let_11017 _let_11016 _let_11015 _let_11014 _let_11013 _let_11012 _let_11011 _let_11010 _let_11009 _let_11008 _let_11007 _let_11006 _let_11005 _let_11004 _let_11003 _let_11002 _let_11001 _let_11000 _let_10999 _let_10998 _let_10997 _let_10996 _let_10995 _let_10994 _let_10993 _let_10992))))) (PREPROCESS :args ((and _let_10991 _let_10990 _let_10989 _let_10988 _let_10987 _let_10986 _let_10985 _let_10984 _let_10983 _let_10982 _let_10981 _let_10980 _let_10979 _let_10978 _let_10977 _let_10976 _let_10975 _let_10974 _let_10973 _let_10972 _let_10971 _let_10970 _let_10969 _let_10968 _let_10967 _let_10966 _let_10965 _let_10964 _let_10963 _let_10962 _let_10961 _let_10960 _let_10959 _let_10958 _let_10957 _let_10956 _let_10955 _let_10954 _let_10953 _let_10952 _let_10951 _let_10950 _let_10949 _let_10948 _let_10947 _let_10946 _let_10945 _let_10944 _let_10943 _let_10942 _let_10941 _let_10940 _let_10939 _let_10938 _let_10937 _let_10936 _let_10935 _let_10934 _let_10933 _let_10932 _let_10931 _let_10930 _let_10929 _let_10928 _let_10927 _let_10926 _let_10925 _let_10924 _let_10923 _let_10922 _let_10921 _let_10920 _let_10919 _let_10918 _let_10917 _let_10916 _let_10915 _let_10914 _let_10913 _let_10912 _let_10911 _let_10910 _let_10909 _let_10908 _let_10907 _let_10906 _let_10905 _let_10904 _let_10903 _let_10902 _let_10901 _let_10900 _let_10899 _let_10898 _let_10897 _let_10896 _let_10895 _let_10894 _let_10893 _let_10892 _let_10891 _let_10890 _let_10889 _let_10888 _let_10887 _let_10886 _let_10885 _let_10884 _let_10883 _let_10882 _let_10881 _let_10880 _let_10879 _let_10878 _let_10877 _let_10876 _let_10875 _let_10874 _let_10873 _let_10872 _let_10871 _let_10870 _let_10869 _let_10868 _let_10867 _let_10866 _let_10865 _let_10864 _let_10863 _let_10862 _let_10861 _let_10860 _let_10859 _let_10858 _let_10857 _let_10856 _let_10855 _let_10854 _let_10853 _let_10852 _let_10851 _let_10850 _let_10849 _let_10848 _let_10847 _let_10846 _let_10845 _let_10844 _let_10843 _let_10842 _let_10841 _let_10840 _let_10839 _let_10838 _let_10837 _let_10836 _let_10835 _let_10834 _let_10833 _let_10832 _let_10831 _let_10830 _let_10829 _let_10828 _let_10827 _let_10826 _let_10825 _let_10824 _let_10823 _let_10822 _let_10821 _let_10820 _let_10819 _let_10818 _let_10817 _let_10816 _let_10815 _let_10814 _let_10813 _let_10812 _let_10811 _let_10810 _let_10809 _let_10808 _let_10807 _let_10806 _let_10805 _let_10804 _let_10803 _let_10802 _let_10801 _let_10800 _let_10799 _let_10798 _let_10797 _let_10796 _let_10795 _let_10794 _let_10793 _let_10792 _let_10791 _let_10790 _let_10789 _let_10788 _let_10787 _let_10786 _let_10785 _let_10784 _let_10783 _let_10782 _let_10781 _let_10780 _let_10779 _let_10778 _let_10777 _let_10776 _let_10775 _let_10774 _let_10773 _let_10772 _let_10771 _let_10770 _let_10769 _let_10768 _let_10767 _let_10766 _let_10765 _let_10764 _let_10763 _let_10762 _let_10761 _let_10760 _let_10759 _let_10758 _let_10757 _let_10756 _let_10755 _let_10754 _let_10753 _let_10752 _let_10751 _let_10750 _let_10749 _let_10748 _let_10747 _let_10746 _let_10745 _let_10744 _let_10743 _let_10742 _let_10741 _let_10740 _let_10739 _let_10738 _let_10737 _let_10736 _let_10735 _let_10734 _let_10733 _let_10732 _let_10731 _let_10730 _let_10729 _let_10728 _let_10727 _let_10726 _let_10725 _let_10724 _let_10723 _let_10722 _let_10721 _let_10720 _let_10719 _let_10718 _let_10717 _let_10716 _let_10715 _let_10714 _let_10713 _let_10712 _let_10711 _let_10710 _let_10709 _let_10708 _let_10707 _let_10706 _let_10705 _let_10704 _let_10703 _let_10702 _let_10701 _let_10700 _let_10699 _let_10698 _let_10697 _let_10696 _let_10695 _let_10694 _let_10693 _let_10692 _let_10691 _let_10690 _let_10689 _let_10688 _let_10687 _let_10686 _let_10685 _let_10684 _let_10683 _let_10682 _let_10681 _let_10680 _let_10679 _let_10678 _let_10677 _let_10676 _let_10675 _let_10674 _let_10673 _let_10672 _let_10671 _let_10670 _let_10669 _let_10668 _let_10667 _let_10666 _let_10665 _let_10664 _let_10663 _let_10662 _let_10661 _let_10660 _let_10659 _let_10658 _let_10657 _let_10656 _let_10655 _let_10654 _let_10653 _let_10652 _let_10651 _let_10650 _let_10649 _let_10648 _let_10647 _let_10646 _let_10645 _let_10644 _let_10643 _let_10642 _let_10641 _let_10640 _let_10639 _let_10638 _let_10637 _let_10636 _let_10635 _let_10634 _let_10633 _let_10632 _let_10631 _let_10630 _let_10629 _let_10628 _let_10627 _let_10626 _let_10625 _let_10624 _let_10623 _let_10622 _let_10621 _let_10620 _let_10619 _let_10618 _let_10617 _let_10616 _let_10615 _let_10614 _let_10613 _let_10612 _let_10611 _let_10610 _let_10609 _let_10608 _let_10607 _let_10606 _let_10605 _let_10604 _let_10603 _let_10602 _let_10601 _let_10600 _let_10599 _let_10598 _let_10597 _let_10596 _let_10595 _let_10594 _let_10593 _let_10592 _let_10591 _let_10590 _let_10589 _let_10588 _let_10587 _let_10586 _let_10585 _let_10584 _let_10583 _let_10582 _let_10581 _let_10580 _let_10579 _let_10578 _let_10577 _let_10576 _let_10575 _let_10574 _let_10573 _let_10572 _let_10571 _let_10570 _let_10569 _let_10568 _let_10567 _let_10566 _let_10565 _let_10564 _let_10563 _let_10562 _let_10561 _let_10560 _let_10559 _let_10558 _let_10557 _let_10556 _let_10555 _let_10554 _let_10553 _let_10552 _let_10551 _let_10550 _let_10549 _let_10548 _let_10547 _let_10546 _let_10545 _let_10544 _let_10543 _let_10542 _let_10541 _let_10540 _let_10539 _let_10538 _let_10537 _let_10536 _let_10535 _let_10534 _let_10533 _let_10532 _let_10531 _let_10530 _let_10529 _let_10528 _let_10527 _let_10526 _let_10525 _let_10524 _let_10523 _let_10522 _let_10521 _let_10520 _let_10519 _let_10518 _let_10517 _let_10516 _let_10515 _let_10514 _let_10513 _let_10512 _let_10511 _let_10510 _let_10509 _let_10508 _let_10507 _let_10506 _let_10505 _let_10504 _let_10503 _let_10502 _let_10501 _let_10500 _let_10499 _let_10498 _let_10497 _let_10496 _let_10495 _let_10494 _let_10493 _let_10492 _let_10491 _let_10490 _let_10489 _let_10488 _let_10487 _let_10486 _let_10485 _let_10484 _let_10483 _let_10482 _let_10481 _let_10480 _let_10479 _let_10478 _let_10477 _let_10476 _let_10475 _let_10474 _let_10473 _let_10472 _let_10471 _let_10470 _let_10469 _let_10468 _let_10467 _let_10466 _let_10465 _let_10464 _let_10463 _let_10462 _let_10461 _let_10460 _let_10459 _let_10458 _let_10457 _let_10456 _let_10455 _let_10454 _let_10453 _let_10452 _let_10451 _let_10450 _let_10449 _let_10448 _let_10447 _let_10446 _let_10445 _let_10444 _let_10443 _let_10442 _let_10441 _let_10440 _let_10439 _let_10438 _let_10437 _let_10436 _let_10435 _let_10434 _let_10433 _let_10432 _let_10431 _let_10430 _let_10429 _let_10428 _let_10427 _let_10426 _let_10425 _let_10424 _let_10423 _let_10422 _let_10421 _let_10420 _let_10419 _let_10418 _let_10417 _let_10416 _let_10415 _let_10414 _let_10413 _let_10412 _let_10411 _let_10410 _let_10409 _let_10408 _let_10407 _let_10406 _let_10405 _let_10404 _let_10403 _let_10402 _let_10401 _let_10400 _let_10399 _let_10398 _let_10397 _let_10396 _let_10395 _let_10394 _let_10393 _let_10392 _let_10391 _let_10390 _let_10389 _let_10388 _let_10387 _let_10386 _let_10385 _let_10384 _let_10383 _let_10382 _let_10381 _let_10380 _let_10379 _let_10378 _let_10377 _let_10376 _let_10375 _let_10374 _let_10373 _let_10372 _let_10371 _let_10370 _let_10369 _let_10368 _let_10367 _let_10366 _let_10365 _let_10364 _let_10363 _let_10362 _let_10361 _let_10360 _let_10359 _let_10358 _let_10357 _let_10356 _let_10355 _let_10354 _let_10353 _let_10352 _let_10351 _let_10350 _let_10349 _let_10348 _let_10347 _let_10346 _let_10345 _let_10344 _let_10343 _let_10342 _let_10341 _let_10340 _let_10339 _let_10338 _let_10337 _let_10336 _let_10335 _let_10334 _let_10333 _let_10332 _let_10331 _let_10330 _let_10329 _let_10328 _let_10327 _let_10326 _let_10325 _let_10324 _let_10323 _let_10322 _let_10321 _let_10320 _let_10319 _let_10318 _let_10317 _let_10316 _let_10315 _let_10314 _let_10313 _let_10312 _let_10311 _let_10310 _let_10309 _let_10308 _let_10307 _let_10306 _let_10305 _let_10304 _let_10303 _let_10302 _let_10301 _let_10300 _let_10299 _let_10298 _let_10297 _let_10296 _let_10295 _let_10294 _let_10293 _let_10292 _let_10291 _let_10290 _let_10289 _let_10288 _let_10287 _let_10286 _let_10285 _let_10284 _let_10283 _let_10282 _let_10281 _let_10280 _let_10279 _let_10278 _let_10277 _let_10276 _let_10275 _let_10274 _let_10273 _let_10272 _let_10271 _let_10270 _let_10269 _let_10268 _let_10267 _let_10266 _let_10265 _let_10264 _let_10263 _let_10262 _let_10261 _let_10260 _let_10259 _let_10258 _let_10257 _let_10256 _let_10255 _let_10254 _let_10253 _let_10252 _let_10251 _let_10250 _let_10249 _let_10248 _let_10247 _let_10246 _let_10245 _let_10244 _let_10243 _let_10242 _let_10241 _let_10240 _let_10239 _let_10238 _let_10237 _let_10236 _let_10235 _let_10234 _let_10233 _let_10232 _let_10231 _let_10230 _let_10229 _let_10228 _let_10227 _let_10226 _let_10225 _let_10224 _let_10223 _let_10222 _let_10221 _let_10220 _let_10219 _let_10218 _let_10217 _let_10216 _let_10215 _let_10214 _let_10213 _let_10212 _let_10211 _let_10210 _let_10209 _let_10208 _let_10207 _let_10206 _let_10205 _let_10204 _let_10203 _let_10202 _let_10201 _let_10200 _let_10199 _let_10198 _let_10197 _let_10196 _let_10195 _let_10194 _let_10193 _let_10192 _let_10191 _let_10190 _let_10189 _let_10188 _let_10187 _let_10186 _let_10185 _let_10184 _let_10183 _let_10182 _let_10181 _let_10180 _let_10179 _let_10178 _let_10177 _let_10176 _let_10175 _let_10174 _let_10173 _let_10172 _let_10171 _let_10170 _let_10169 _let_10168 _let_10167 _let_10166 _let_10165 _let_10164 _let_10163 _let_10162 _let_10161 _let_10160 _let_10159 _let_10158 _let_10157 _let_10156 _let_10155 _let_10154 _let_10153 _let_10152 _let_10151 _let_10150 _let_10149 _let_10148 _let_10147 _let_10146 _let_10145 _let_10144 _let_10143 _let_10142 _let_10141 _let_10140 _let_10139 _let_10138 _let_10137 _let_10136 _let_10135 _let_10134 _let_10133 _let_10132 _let_10131 _let_10130 _let_10129 _let_10128 _let_10127 _let_10126 _let_10125 _let_10124 _let_10123 _let_10122 _let_10121 _let_10120 _let_10119 _let_10118 _let_10117 _let_10116 _let_10115 _let_10114 _let_10113 _let_10112 _let_10111 _let_10110 _let_10109 _let_10108 _let_10107 _let_10106 _let_10105 _let_10104 _let_10103 _let_10102 _let_10101 _let_10100 _let_10099 _let_10098 _let_10097 _let_10096 _let_10095 _let_10094 _let_10093 _let_10092 _let_10091 _let_10090 _let_10089 _let_10088 _let_10087 _let_10086 _let_10085 _let_10084 _let_10083 _let_10082 _let_10081 _let_10080 _let_10079 _let_10078 _let_10077 _let_10076 _let_10075 _let_10074 _let_10073 _let_10072 _let_10071 _let_10070 _let_10069 _let_10068 _let_10067 _let_10066 _let_10065 _let_10064 _let_10063 _let_10062 _let_10061 _let_10060 _let_10059 _let_10058 _let_10057 _let_10056 _let_10055 _let_10054 _let_10053 _let_10052 _let_10051 _let_10050 _let_10049 _let_10048 _let_10047 _let_10046 _let_10045 _let_10044 _let_10043 _let_10042 _let_10041 _let_10040 _let_10039 _let_10038 _let_10037 _let_10036 _let_10035 _let_10034 _let_10033 _let_10032 _let_10031 _let_10030 _let_10029 _let_10028 _let_10027 _let_10026 _let_10025 _let_10024 _let_10023 _let_10022 _let_10021 _let_10020 _let_10019 _let_10018 _let_10017 _let_10016 _let_10015 _let_10014 _let_10013 _let_10012 _let_10011 _let_10010 _let_10009 _let_10008 _let_10007 _let_10006 _let_10005 _let_10004 _let_10003 _let_10002 _let_10001 _let_10000 _let_9999 _let_9998 _let_9997 _let_9996 _let_9995 _let_9994 _let_9993 _let_9992 _let_9991 _let_9990 _let_9989 _let_9988 _let_9987 _let_9986 _let_9985 _let_9984 _let_9983 _let_9982 _let_9981 _let_9980 _let_9979 _let_9978 _let_9977 _let_9976 _let_9975 _let_9974 _let_9973 _let_9972 _let_9971 _let_9970 _let_9969 _let_9968 _let_9967 _let_9966 _let_9965 _let_9964 _let_9963 _let_9962 _let_9961 _let_9960 _let_9959 _let_9958 _let_9957 _let_9956 _let_9955 _let_9954 _let_9953 _let_9952 _let_9951 _let_9950 _let_9949 _let_9948 _let_9947 _let_9946 _let_9945 _let_9944 _let_9943 _let_9942 _let_9941 _let_9940 _let_9939 _let_9938 _let_9937 _let_9936 _let_9935 _let_9934 _let_9933 _let_9932 _let_9931 _let_9930 _let_9929 _let_9928 _let_9927 _let_9926 _let_9925 _let_9924 _let_9923 _let_9922 _let_9921 _let_9920 _let_9919 _let_9918 _let_9917 _let_9916 _let_9915 _let_9914 _let_9913 _let_9912 _let_9911 _let_9910 _let_9909 _let_9908 _let_9907 _let_9906 _let_9905 _let_9904 _let_9903 _let_9902 _let_9901 _let_9900 _let_9899 _let_9898 _let_9897 _let_9896 _let_9895 _let_9894 _let_9893 _let_9892 _let_9891 _let_9890 _let_9889 _let_9888 _let_9887 _let_9886 _let_9885 _let_9884 _let_9883 _let_9882 _let_9881 _let_9880 _let_9879 _let_9878 _let_9877 _let_9876 _let_9875 _let_9874 _let_9873 _let_9872 _let_9871 _let_9870 _let_9869 _let_9868 _let_9867 _let_9866 _let_9865 _let_9864 _let_9863 _let_9862 _let_9861 _let_9860 _let_9859 _let_9858 _let_9857 _let_9856 _let_9855 _let_9854 _let_9853 _let_9852 _let_9851 _let_9850 _let_9849 _let_9848 _let_9847 _let_9846 _let_9845 _let_9844 _let_9843 _let_9842 _let_9841 _let_9840 _let_9839 _let_9838 _let_9837 _let_9836 _let_9835 _let_9834 _let_9833 _let_9832 _let_9831 _let_9830 _let_9829 _let_9828 _let_9827 _let_9826 _let_9825 _let_9824 _let_9823 _let_9822 _let_9821 _let_9820 _let_9819 _let_9818 _let_9817 _let_9816 _let_9815 _let_9814 _let_9813 _let_9812 _let_9811 _let_9810 _let_9809 _let_9808 _let_9807 _let_9806 _let_9805 _let_9804 _let_9803 _let_9802 _let_9801 _let_9800 _let_9799 _let_9798 _let_9797 _let_9796 _let_9795 _let_9794 _let_9793 _let_9792 _let_9791 _let_9790 _let_9789 _let_9788 _let_9787 _let_9786 _let_9785 _let_9784 _let_9783 _let_9782 _let_9781 _let_9780 _let_9779 _let_9778 _let_9777 _let_9776 _let_9775 _let_9774 _let_9773 _let_9772 _let_9771 _let_9770 _let_9769 _let_9768 _let_9767 _let_9766 _let_9765 _let_9764 _let_9763 _let_9762 _let_9761 _let_9760 _let_9759 _let_9758 _let_9757 _let_9756 _let_9755 _let_9754 _let_9753 _let_9752 _let_9751 _let_9750 _let_9749 _let_9748 _let_9747 _let_9746 _let_9745 _let_9744 _let_9743 _let_9742 _let_9741 _let_9740 _let_9739 _let_9738 _let_9737 _let_9736 _let_9735 _let_9734 _let_9733 _let_9732 _let_9731 _let_9730 _let_9729 _let_9728 _let_9727 _let_9726 _let_9725 _let_9724 _let_9723 _let_9722 _let_9721 _let_9720 _let_9719 _let_9718 _let_9717 _let_9716 _let_9715 _let_9714 _let_9713 _let_9712 _let_9711 _let_9710 _let_9709 _let_9708 _let_9707 _let_9706 _let_9705 _let_9704 _let_9703 _let_9702 _let_9701 _let_9700 _let_9699 _let_9698 _let_9697 _let_9696 _let_9695 _let_9694 _let_9693 _let_9692 _let_9691 _let_9690 _let_9689 _let_9688 _let_9687 _let_9686 _let_9685 _let_9684 _let_9683 _let_9682 _let_9681 _let_9680 _let_9679 _let_9678 _let_9677 _let_9676 _let_9675 _let_9674 _let_9673 _let_9672 _let_9671 _let_9670 _let_9669 _let_9668 _let_9667 _let_9666 _let_9665 _let_9664 _let_9663 _let_9662 _let_9661 _let_9660 _let_9659 _let_9658 _let_9657 _let_9656 _let_9655 _let_9654 _let_9653 _let_9652 _let_9651 _let_9650 _let_9649 _let_9648 _let_9647 _let_9646 _let_9645 _let_9644 _let_9643 _let_9642 _let_9641 _let_9640 _let_9639 _let_9638 _let_9637 _let_9636 _let_9635 _let_9634 _let_9633 _let_9632 _let_9631 _let_9630 _let_9629 _let_9628 _let_9627 _let_9626 _let_9625 _let_9624 _let_9623 _let_9622 _let_9621 _let_9620 _let_9619 _let_9618 _let_9617 _let_9616 _let_9615 _let_9614 _let_9613 _let_9612 _let_9611 _let_9610 _let_9609 _let_9608 _let_9607 _let_9606 _let_9605 _let_9604 _let_9603 _let_9602 _let_9601 _let_9600 _let_9599 _let_9598 _let_9597 _let_9596 _let_9595 _let_9594 _let_9593 _let_9592 _let_9591 _let_9590 _let_9589 _let_9588 _let_9587 _let_9586 _let_9585 _let_9584 _let_9583 _let_9582 _let_9581 _let_9580 _let_9579 _let_9578 _let_9577 _let_9576 _let_9575 _let_9574 _let_9573 _let_9572 _let_9571 _let_9570 _let_9569 _let_9568 _let_9567 _let_9566 _let_9565 _let_9564 _let_9563 _let_9562 _let_9561 _let_9560 _let_9559 _let_9558 _let_9557 _let_9556 _let_9555 _let_9554 _let_9553 _let_9552 _let_9551 _let_9550 _let_9549 _let_9548 _let_9547 _let_9546 _let_9545 _let_9544 _let_9543 _let_9542 _let_9541 _let_9540 _let_9539 _let_9538 _let_9537 _let_9536 _let_9535 _let_9534 _let_9533 _let_9532 _let_9531 _let_9530 _let_9529 _let_9528 _let_9527 _let_9526 _let_9525 _let_9524 _let_9523 _let_9522 _let_9521 _let_9520 _let_9519 _let_9518 _let_9517 _let_9516 _let_9515 _let_9514 _let_9513 _let_9512 _let_9511 _let_9510 _let_9509 _let_9508 _let_9507 _let_9506 _let_9505 _let_9504 _let_9503 _let_9502 _let_9501 _let_9500 _let_9499 _let_9498 _let_9497 _let_9496 _let_9495 _let_9494 _let_9493 _let_9492 _let_9491 _let_9490 _let_9489 _let_9488 _let_9487 _let_9486 _let_9485 _let_9484 _let_9483 _let_9482 _let_9481 _let_9480 _let_9479 _let_9478 _let_9477 _let_9476 _let_9475 _let_9474 _let_9473 _let_9472 _let_9471 _let_9470 _let_9469 _let_9468 _let_9467 _let_9466 _let_9465 _let_9464 _let_9463 _let_9462 _let_9461 _let_9460 _let_9459 _let_9458 _let_9457 _let_9456 _let_9455 _let_9454 _let_9453 _let_9452 _let_9451 _let_9450 _let_9449 _let_9448 _let_9447 _let_9446 _let_9445 _let_9444 _let_9443 _let_9442 _let_9441 _let_9440 _let_9439 _let_9438 _let_9437 _let_9436 _let_9435 _let_9434 _let_9433 _let_9432 _let_9431 _let_9430 _let_9429 _let_9428 _let_9427 _let_9426 _let_9425 _let_9424 _let_9423 _let_9422 _let_9421 _let_9420 _let_9419 _let_9418 _let_9417 _let_9416 _let_9415 _let_9414 _let_9413 _let_9412 _let_9411 _let_9410 _let_9409 _let_9408 _let_9407 _let_9406 _let_9405 _let_9404 _let_9403 _let_9402 _let_9401 _let_9400 _let_9399 _let_9398 _let_9397 _let_9396 _let_9395 _let_9394 _let_9393 _let_9392 _let_9391 _let_9390 _let_9389 _let_9388 _let_9387 _let_9386 _let_9385 _let_9384 _let_9383 _let_9382 _let_9381 _let_9380 _let_9379 _let_9378 _let_9377 _let_9376 _let_9375 _let_9374 _let_9373 _let_9372 _let_9371 _let_9370 _let_9369 _let_9368 _let_9367 _let_9366 _let_9365 _let_9364 _let_9363 _let_9362 _let_9361 _let_9360 _let_9359 _let_9358 _let_9357 _let_9356 _let_9355 _let_9354 _let_9353 _let_9352 _let_9351 _let_9350 _let_9349 _let_9348 _let_9347 _let_9346 _let_9345 _let_9344 _let_9343 _let_9342 _let_9341 _let_9340 _let_9339 _let_9338 _let_9337 _let_9336 _let_9335 _let_9334 _let_9333 _let_9332 _let_9331 _let_9330 _let_9329 _let_9328 _let_9327 _let_9326 _let_9325 _let_9324 _let_9323 _let_9322 _let_9321 _let_9320 _let_9319 _let_9318 _let_9317 _let_9316 _let_9315 _let_9314 _let_9313 _let_9312 _let_9311 _let_9310 _let_9309 _let_9308 _let_9307 _let_9306 _let_9305 _let_9304 _let_9303 _let_9302 _let_9301 _let_9300 _let_9299 _let_9298 _let_9297 _let_9296 _let_9295 _let_9294 _let_9293 _let_9292 _let_9291 _let_9290 _let_9289 _let_9288 _let_9287 _let_9286 _let_9285 _let_9284 _let_9283 _let_9282 _let_9281 _let_9280 _let_9279 _let_9278 _let_9277 _let_9276 _let_9275 _let_9274 _let_9273 _let_9272 _let_9271 _let_9270 _let_9269 _let_9268 _let_9267 _let_9266 _let_9265 _let_9264 _let_9263 _let_9262 _let_9261 _let_9260 _let_9259 _let_9258 _let_9257 _let_9256 _let_9255 _let_9254 _let_9253 _let_9252 _let_9251 _let_9250 _let_9249 _let_9248 _let_9247 _let_9246 _let_9245 _let_9244 _let_9243 _let_9242 _let_9241 _let_9240 _let_9239 _let_9238 _let_9237 _let_9236 _let_9235 _let_9234 _let_9233 _let_9232 _let_9231 _let_9230 _let_9229 _let_9228 _let_9227 _let_9226 _let_9225 _let_9224 _let_9223 _let_9222 _let_9221 _let_9220 _let_9219 _let_9218 _let_9217 _let_9216 _let_9215 _let_9214 _let_9213 _let_9212 _let_9211 _let_9210 _let_9209 _let_9208 _let_9207 _let_9206 _let_9205 _let_9204 _let_9203 _let_9202 _let_9201 _let_9200 _let_9199 _let_9198 _let_9197 _let_9196 _let_9195 _let_9194 _let_9193 _let_9192 _let_9191 _let_9190 _let_9189 _let_9188 _let_9187 _let_9186 _let_9185 _let_9184 _let_9183 _let_9182 _let_9181 _let_9180 _let_9179 _let_9178 _let_9177 _let_9176 _let_9175 _let_9174 _let_9173 _let_9172 _let_9171 _let_9170 _let_9169 _let_9168 _let_9167 _let_9166 _let_9165 _let_9164 _let_9163 _let_9162 _let_9161 _let_9160 _let_9159 _let_9158 _let_9157 _let_9156 _let_9155 _let_9154 _let_9153 _let_9152 _let_9151 _let_9150 _let_9149 _let_9148 _let_9147 _let_9146 _let_9145 _let_9144 _let_9143 _let_9142 _let_9141 _let_9140 _let_9139 _let_9138 _let_9137 _let_9136 _let_9135 _let_9134 _let_9133 _let_9132 _let_9131 _let_9130 _let_9129 _let_9128 _let_9127 _let_9126 _let_9125 _let_9124 _let_9123 _let_9122 _let_9121 _let_9120 _let_9119 _let_9118 _let_9117 _let_9116 _let_9115 _let_9114 _let_9113 _let_9112 _let_9111 _let_9110 _let_9109 _let_9108 _let_9107 _let_9106 _let_9105 _let_9104 _let_9103 _let_9102 _let_9101 _let_9100 _let_9099 _let_9098 _let_9097 _let_9096 _let_9095 _let_9094 _let_9093 _let_9092 _let_9091 _let_9090 _let_9089 _let_9088 _let_9087 _let_9086 _let_9085 _let_9084 _let_9083 _let_9082 _let_9081 _let_9080 _let_9079 _let_9078 _let_9077 _let_9076 _let_9075 _let_9074 _let_9073 _let_9072 _let_9071 _let_9070 _let_9069 _let_9068 _let_9067 _let_9066 _let_9065 _let_9064 _let_9063 _let_9062 _let_9061 _let_9060 _let_9059 _let_9058 _let_9057 _let_9056 _let_9055 _let_9054 _let_9053 _let_9052 _let_9051 _let_9050 _let_9049 _let_9048 _let_9047 _let_9046 _let_9045 _let_9044 _let_9043 _let_9042 _let_9041 _let_9040 _let_9039 _let_9038 _let_9037 _let_9036 _let_9035 _let_9034 _let_9033 _let_9032 _let_9031 _let_9030 _let_9029 _let_9028 _let_9027 _let_9026 _let_9025 _let_9024 _let_9023 _let_9022 _let_9021 _let_9020 _let_9019 _let_9018 _let_9017 _let_9016 _let_9015 _let_9014 _let_9013 _let_9012 _let_9011 _let_9010 _let_9009 _let_9008 _let_9007 _let_9006 _let_9005 _let_9004 _let_9003 _let_9002 _let_9001 _let_9000 _let_8999 _let_8998 _let_8997 _let_8996 _let_8995 _let_8994 _let_8993 _let_8992 _let_8991 _let_8990 _let_8989 _let_8988 _let_8987 _let_8986 _let_8985 _let_8984 _let_8983 _let_8982 _let_8981 _let_8980 _let_8979 _let_8978 _let_8977 _let_8976 _let_8975 _let_8974 _let_8973 _let_8972 _let_8971 _let_8970 _let_8969 _let_8968 _let_8967 _let_8966 _let_8965 _let_8964 _let_8963 _let_8962 _let_8961 _let_8960 _let_8959 _let_8958 _let_8957 _let_8956 _let_8955 _let_8954 _let_8953 _let_8952 _let_8951 _let_8950 _let_8949 _let_8948 _let_8947 _let_8946 _let_8945 _let_8944 _let_8943 _let_8942 _let_8941 _let_8940 _let_8939 _let_8938 _let_8937 _let_8936 _let_8935 _let_8934 _let_8933 _let_8932 _let_8931 _let_8930 _let_8929 _let_8928 _let_8927 _let_8926 _let_8925 _let_8924 _let_8923 _let_8922 _let_8921 _let_8920 _let_8919 _let_8918 _let_8917 _let_8916 _let_8915 _let_8914 _let_8913 _let_8912 _let_8911 _let_8910 _let_8909 _let_8908 _let_8907 _let_8906 _let_8905 _let_8904 _let_8903 _let_8902 _let_8901 _let_8900 _let_8899 _let_8898 _let_8897 _let_8896 _let_8895 _let_8894 _let_8893 _let_8892 _let_8891 _let_8890 _let_8889 _let_8888 _let_8887 _let_8886 _let_8885 _let_8884 _let_8883 _let_8882 _let_8881 _let_8880 _let_8879 _let_8878 _let_8877 _let_8876 _let_8875 _let_8874 _let_8873 _let_8872 _let_8871 _let_8870 _let_8869 _let_8868 _let_8867 _let_8866 _let_8865 _let_8864 _let_8863 _let_8862 _let_8861 _let_8860 _let_8859 _let_8858 _let_8857 _let_8856 _let_8855 _let_8854 _let_8853 _let_8852 _let_8851 _let_8850 _let_8849 _let_8848 _let_8847 _let_8846 _let_8845 _let_8844 _let_8843 _let_8842 _let_8841 _let_8840 _let_8839 _let_8838 _let_8837 _let_8836 _let_8835 _let_8834 _let_8833 _let_8832 _let_8831 _let_8830 _let_8829 _let_8828 _let_8827 _let_8826 _let_8825 _let_8824 _let_8823 _let_8822 _let_8821 _let_8820 _let_8819 _let_8818 _let_8817 _let_8816 _let_8815 _let_8814 _let_8813 _let_8812 _let_8811 _let_8810 _let_8809 _let_8808 _let_8807 _let_8806 _let_8805 _let_8804 _let_8803 _let_8802 _let_8801 _let_8800 _let_8799 _let_8798 _let_8797 _let_8796 _let_8795 _let_8794 _let_8793 _let_8792 _let_8791 _let_8790 _let_8789 _let_8788 _let_8787 _let_8786 _let_8785 _let_8784 _let_8783 _let_8782 _let_8781 _let_8780 _let_8779 _let_8778 _let_8777 _let_8776 _let_8775 _let_8774 _let_8773 _let_8772 _let_8771 _let_8770 _let_8769 _let_8768 _let_8767 _let_8766 _let_8765 _let_8764 _let_8763 _let_8762 _let_8761 _let_8760 _let_8759 _let_8758 _let_8757 _let_8756 _let_8755 _let_8754 _let_8753 _let_8752 _let_8751 _let_8750 _let_8749 _let_8748 _let_8747 _let_8746 _let_8745 _let_8744 _let_8743 _let_8742 _let_8741 _let_8740 _let_8739 _let_8738 _let_8737 _let_8736 _let_8735 _let_8734 _let_8733 _let_8732 _let_8731 _let_8730 _let_8729 _let_8728 _let_8727 _let_8726 _let_8725 _let_8724 _let_8723 _let_8722 _let_8721 _let_8720 _let_8719 _let_8718 _let_8717 _let_8716 _let_8715 _let_8714 _let_8713 _let_8712 _let_8711 _let_8710 _let_8709 _let_8708 _let_8707 _let_8706 _let_8705 _let_8704 _let_8703 _let_8702 _let_8701 _let_8700 _let_8699 _let_8698 _let_8697 _let_8696 _let_8695 _let_8694 _let_8693 _let_8692 _let_8691 _let_8690 _let_8689 _let_8688 _let_8687 _let_8686 _let_8685 _let_8684 _let_8683 _let_8682 _let_8681 _let_8680 _let_8679 _let_8678 _let_8677 _let_8676 _let_8675 _let_8674 _let_8673 _let_8672 _let_8671 _let_8670 _let_8669 _let_8668 _let_8667 _let_8666 _let_8665 _let_8664 _let_8663 _let_8662 _let_8661 _let_8660 _let_8659 _let_8658 _let_8657 _let_8656 _let_8655 _let_8654 _let_8653 _let_8652 _let_8651 _let_8650 _let_8649 _let_8648 _let_8647 _let_8646 _let_8645 _let_8644 _let_8643 _let_8642 _let_8641 _let_8640 _let_8639 _let_8638 _let_8637 _let_8636 _let_8635 _let_8634 _let_8633 _let_8632 _let_8631 _let_8630 _let_8629 _let_8628 _let_8627 _let_8626 _let_8625 _let_8624 _let_8623 _let_8622 _let_8621 _let_8620 _let_8619 _let_8618 _let_8617 _let_8616 _let_8615 _let_8614 _let_8613 _let_8612 _let_8611 _let_8610 _let_8609 _let_8608 _let_8607 _let_8606 _let_8605 _let_8604 _let_8603 _let_8602 _let_8601 _let_8600 _let_8599 _let_8598 _let_8597 _let_8596 _let_8595 _let_8594 _let_8593 _let_8592 _let_8591 _let_8590 _let_8589 _let_8588 _let_8587 _let_8586 _let_8585 _let_8584 _let_8583 _let_8582 _let_8581 _let_8580 _let_8579 _let_8578 _let_8577 _let_8576 _let_8575 _let_8574 _let_8573 _let_8572 _let_8571 _let_8570 _let_8569 _let_8568 _let_8567 _let_8566 _let_8565 _let_8564 _let_8563 _let_8562 _let_8561 _let_8560 _let_8559 _let_8558 _let_8557 _let_8556 _let_8555 _let_8554 _let_8553 _let_8552 _let_8551 _let_8550 _let_8549 _let_8548 _let_8547 _let_8546 _let_8545 _let_8544 _let_8543 _let_8542 _let_8541 _let_8540 _let_8539 _let_8538 _let_8537 _let_8536 _let_8535 _let_8534 _let_8533 _let_8532 _let_8531 _let_8530 _let_8529 _let_8528 _let_8527 _let_8526 _let_8525 _let_8524 _let_8523 _let_8522 _let_8521 _let_8520 _let_8519 _let_8518 _let_8517 _let_8516 _let_8515 _let_8514 _let_8513 _let_8512 _let_8511 _let_8510 _let_8509 _let_8508 _let_8507 _let_8506 _let_8505 _let_8504 _let_8503 _let_8502 _let_8501 _let_8500 _let_8499 _let_8498 _let_8497 _let_8496 _let_8495 _let_8494 _let_8493 _let_8492 _let_8491 _let_8490 _let_8489 _let_8488 _let_8487 _let_8486 _let_8485 _let_8484 _let_8483 _let_8482 _let_8481 _let_8480 _let_8479 _let_8478 _let_8477 _let_8476 _let_8475 _let_8474 _let_8473 _let_8472 _let_8471 _let_8470 _let_8469 _let_8468 _let_8467 _let_8466 _let_8465 _let_8464 _let_8463 _let_8462 _let_8461 _let_8460 _let_8459 _let_8458 _let_8457 _let_8456 _let_8455 _let_8454 _let_8453 _let_8452 _let_8451 _let_8450 _let_8449 _let_8448 _let_8447 _let_8446 _let_8445 _let_8444 _let_8443 _let_8442 _let_8441 _let_8440 _let_8439 _let_8438 _let_8437 _let_8436 _let_8435 _let_8434 _let_8433 _let_8432 _let_8431 _let_8430 _let_8429 _let_8428 _let_8427 _let_8426 _let_8425 _let_8424 _let_8423 _let_8422 _let_8421 _let_8420 _let_8419 _let_8418 _let_8417 _let_8416 _let_8415 _let_8414 _let_8413 _let_8412 _let_8411 _let_8410 _let_8409 _let_8408 _let_8407 _let_8406 _let_8405 _let_8404 _let_8403 _let_8402 _let_8401 _let_8400 _let_8399 _let_8398 _let_8397 _let_8396 _let_8395 _let_8394 _let_8393 _let_8392 _let_8391 _let_8390 _let_8389 _let_8388 _let_8387 _let_8386 _let_8385 _let_8384 _let_8383 _let_8382 _let_8381 _let_8380 _let_8379 _let_8378 _let_8377 _let_8376 _let_8375 _let_8374 _let_8373 _let_8372 _let_8371 _let_8370 _let_8369 _let_8368 _let_8367 _let_8366 _let_8365 _let_8364 _let_8363 _let_8362 _let_8361 _let_8360 _let_8359 _let_8358 _let_8357 _let_8356 _let_8355 _let_8354 _let_8353 _let_8352 _let_8351 _let_8350 _let_8349 _let_8348 _let_8347 _let_8346 _let_8345 _let_8344 _let_8343 _let_8342 _let_8341 _let_8340 _let_8339 _let_8338 _let_8337 _let_8336 _let_8335 _let_8334 _let_8333 _let_8332 _let_8331 _let_8330 _let_8329 _let_8328 _let_8327 _let_8326 _let_8325 _let_8324 _let_8323 _let_8322 _let_8321 _let_8320 _let_8319 _let_8318 _let_8317 _let_8316 _let_8315 _let_8314 _let_8313 _let_8312 _let_8311 _let_8310 _let_8309 _let_8308 _let_8307 _let_8306 _let_8305 _let_8304 _let_8303 _let_8302 _let_8301 _let_8300 _let_8299 _let_8298 _let_8297 _let_8296 _let_8295 _let_8294 _let_8293 _let_8292 _let_8291 _let_8290 _let_8289 _let_8288 _let_8287 _let_8286 _let_8285 _let_8284 _let_8283 _let_8282 _let_8281 _let_8280 _let_8279 _let_8278 _let_8277 _let_8276 _let_8275 _let_8274 _let_8273 _let_8272 _let_8271 _let_8270 _let_8269 _let_8268 _let_8267 _let_8266 _let_8265 _let_8264 _let_8263 _let_8262 _let_8261 _let_8260 _let_8259 _let_8258 _let_8257 _let_8256 _let_8255 _let_8254 _let_8253 _let_8252 _let_8251 _let_8250 _let_8249 _let_8248 _let_8247 _let_8246 _let_8245 _let_8244 _let_8243 _let_8242 _let_8241 _let_8240 _let_8239 _let_8238 _let_8237 _let_8236 _let_8235 _let_8234 _let_8233 _let_8232 _let_8231 _let_8230 _let_8229 _let_8228 _let_8227 _let_8226 _let_8225 _let_8224 _let_8223 _let_8222 _let_8221 _let_8220 _let_8219 _let_8218 _let_8217 _let_8216 _let_8215 _let_8214 _let_8213 _let_8212 _let_8211 _let_8210 _let_8209 _let_8208 _let_8207 _let_8206 _let_8205 _let_8204 _let_8203 _let_8202 _let_8201 _let_8200 _let_8199 _let_8198 _let_8197 _let_8196 _let_8195 _let_8194 _let_8193 _let_8192 _let_8191 _let_8190 _let_8189 _let_8188 _let_8187 _let_8186 _let_8185 _let_8184 _let_8183 _let_8182 _let_8181 _let_8180 _let_8179 _let_8178 _let_8177 _let_8176 _let_8175 _let_8174 _let_8173 _let_8172 _let_8171 _let_8170 _let_8169 _let_8168 _let_8167 _let_8166 _let_8165 _let_8164 _let_8163 _let_8162 _let_8161 _let_8160 _let_8159 _let_8158 _let_8157 _let_8156 _let_8155 _let_8154 _let_8153 _let_8152 _let_8151 _let_8150 _let_8149 _let_8148 _let_8147 _let_8146 _let_8145 _let_8144 _let_8143 _let_8142 _let_8141 _let_8140 _let_8139 _let_8138 _let_8137 _let_8136 _let_8135 _let_8134 _let_8133 _let_8132 _let_8131 _let_8130 _let_8129 _let_8128 _let_8127 _let_8126 _let_8125 _let_8124 _let_8123 _let_8122 _let_8121 _let_8120 _let_8119 _let_8118 _let_8117 _let_8116 _let_8115 _let_8114 _let_8113 _let_8112 _let_8111 _let_8110 _let_8109 _let_8108 _let_8107 _let_8106 _let_8105 _let_8104 _let_8103 _let_8102 _let_8101 _let_8100 _let_8099 _let_8098 _let_8097 _let_8096 _let_8095 _let_8094 _let_8093 _let_8092 _let_8091 _let_8090 _let_8089 _let_8088 _let_8087 _let_8086 _let_8085 _let_8084 _let_8083 _let_8082 _let_8081 _let_8080 _let_8079 _let_8078 _let_8077 _let_8076 _let_8075 _let_8074 _let_8073 _let_8072 _let_8071 _let_8070 _let_8069 _let_8068 _let_8067 _let_8066 _let_8065 _let_8064 _let_8063 _let_8062 _let_8061 _let_8060 _let_8059 _let_8058 _let_8057 _let_8056 _let_8055 _let_8054 _let_8053 _let_8052 _let_8051 _let_8050 _let_8049 _let_8048 _let_8047 _let_8046 _let_8045 _let_8044 _let_8043 _let_8042 _let_8041 _let_8040 _let_8039 _let_8038 _let_8037 _let_8036 _let_8035 _let_8034 _let_8033 _let_8032 _let_8031 _let_8030 _let_8029 _let_8028 _let_8027 _let_8026 _let_8025 _let_8024 _let_8023 _let_8022 _let_8021 _let_8020 _let_8019 _let_8018 _let_8017 _let_8016 _let_8015 _let_8014 _let_8013 _let_8012 _let_8011 _let_8010 _let_8009 _let_8008 _let_8007 _let_8006 _let_8005 _let_8004 _let_8003 _let_8002 _let_8001 _let_8000 _let_7999 _let_7998 _let_7997 _let_7996 _let_7995 _let_7994 _let_7993 _let_7992 _let_7991 _let_7990 _let_7989 _let_7988 _let_7987 _let_7986 _let_7985 _let_7984 _let_7983 _let_7982 _let_7981 _let_7980 _let_7979 _let_7978 _let_7977 _let_7976 _let_7975 _let_7974 _let_7973 _let_7972 _let_7971 _let_7970 _let_7969 _let_7968 _let_7967 _let_7966 _let_7965 _let_7964 _let_7963 _let_7962 _let_7961 _let_7960 _let_7959 _let_7958 _let_7957 _let_7956 _let_7955 _let_7954 _let_7953 _let_7952 _let_7951 _let_7950 _let_7949 _let_7948 _let_7947 _let_7946 _let_7945 _let_7944 _let_7943 _let_7942 _let_7941 _let_7940 _let_7939 _let_7938 _let_7937 _let_7936 _let_7935 _let_7934 _let_7933 _let_7932 _let_7931 _let_7930 _let_7929 _let_7928 _let_7927 _let_7926 _let_7925 _let_7924 _let_7923 _let_7922 _let_7921 _let_7920 _let_7919 _let_7918 _let_7917 _let_7916 _let_7915 _let_7914 _let_7913 _let_7912 _let_7911 _let_7910 _let_7909 _let_7908 _let_7907 _let_7906 _let_7905 _let_7904 _let_7903 _let_7902 _let_7901 _let_7900 _let_7899 _let_7898 _let_7897 _let_7896 _let_7895 _let_7894 _let_7893 _let_7892 _let_7891 _let_7890 _let_7889 _let_7888 _let_7887 _let_7886 _let_7885 _let_7884 _let_7883 _let_7882 _let_7881 _let_7880 _let_7879 _let_7878 _let_7877 _let_7876 _let_7875 _let_7874 _let_7873 _let_7872 _let_7871 _let_7870 _let_7869 _let_7868 _let_7867 _let_7866 _let_7865 _let_7864 _let_7863 _let_7862 _let_7861 _let_7860 _let_7859 _let_7858 _let_7857 _let_7856 _let_7855 _let_7854 _let_7853 _let_7852 _let_7851 _let_7850 _let_7849 _let_7848 _let_7847 _let_7846 _let_7845 _let_7844 _let_7843 _let_7842 _let_7841 _let_7840 _let_7839 _let_7838 _let_7837 _let_7836 _let_7835 _let_7834 _let_7833 _let_7832 _let_7831 _let_7830 _let_7829 _let_7828 _let_7827 _let_7826 _let_7825 _let_7824 _let_7823 _let_7822 _let_7821 _let_7820 _let_7819 _let_7818 _let_7817 _let_7816 _let_7815 _let_7814 _let_7813 _let_7812 _let_7811 _let_7810 _let_7809 _let_7808 _let_7807 _let_7806 _let_7805 _let_7804 _let_7803 _let_7802 _let_7801 _let_7800 _let_7799 _let_7798 _let_7797 _let_7796 _let_7795 _let_7794 _let_7793 _let_7792 _let_7791 _let_7790 _let_7789 _let_7788 _let_7787 _let_7786 _let_7785 _let_7784 _let_7783 _let_7782 _let_7781 _let_7780 _let_7779 _let_7778 _let_7777 _let_7776 _let_7775 _let_7774 _let_7773 _let_7772 _let_7771 _let_7770 _let_7769 _let_7768 _let_7767 _let_7766 _let_7765 _let_7764 _let_7763 _let_7762 _let_7761 _let_7760 _let_7759 _let_7758 _let_7757 _let_7756 _let_7755 _let_7754 _let_7753 _let_7752 _let_7751 _let_7750 _let_7749 _let_7748 _let_7747 _let_7746 _let_7745 _let_7744 _let_7743 _let_7742 _let_7741 _let_7740 _let_7739 _let_7738 _let_7737 _let_7736 _let_7735 _let_7734 _let_7733 _let_7732 _let_7731 _let_7730 _let_7729 _let_7728 _let_7727 _let_7726 _let_7725 _let_7724 _let_7723 _let_7722 _let_7721 _let_7720 _let_7719 _let_7718 _let_7717 _let_7716 _let_7715 _let_7714 _let_7713 _let_7712 _let_7711 _let_7710 _let_7709 _let_7708 _let_7707 _let_7706 _let_7705 _let_7704 _let_7703 _let_7702 _let_7701 _let_7700 _let_7699 _let_7698 _let_7697 _let_7696 _let_7695 _let_7694 _let_7693 _let_7692 _let_7691 _let_7690 _let_7689 _let_7688 _let_7687 _let_7686 _let_7685 _let_7684 _let_7683 _let_7682 _let_7681 _let_7680 _let_7679 _let_7678 _let_7677 _let_7676 _let_7675 _let_7674 _let_7673 _let_7672 _let_7671 _let_7670 _let_7669 _let_7668 _let_7667 _let_7666 _let_7665 _let_7664 _let_7663 _let_7662 _let_7661 _let_7660 _let_7659 _let_7658 _let_7657 _let_7656 _let_7655 _let_7654 _let_7653 _let_7652 _let_7651 _let_7650 _let_7649 _let_7648 _let_7647 _let_7646 _let_7645 _let_7644 _let_7643 _let_7642 _let_7641 _let_7640 _let_7639 _let_7638 _let_7637 _let_7636 _let_7635 _let_7634 _let_7633 _let_7632 _let_7631 _let_7630 _let_7629 _let_7628 _let_7627 _let_7626 _let_7625 _let_7624 _let_7623 _let_7622 _let_7621 _let_7620 _let_7619 _let_7618 _let_7617 _let_7616 _let_7615 _let_7614 _let_7613 _let_7612 _let_7611 _let_7610 _let_7609 _let_7608 _let_7607 _let_7606 _let_7605 _let_7604 _let_7603 _let_7602 _let_7601 _let_7600 _let_7599 _let_7598 _let_7597 _let_7596 _let_7595 _let_7594 _let_7593 _let_7592 _let_7591 _let_7590 _let_7589 _let_7588 _let_7587 _let_7586 _let_7585 _let_7584 _let_7583 _let_7582 _let_7581 _let_7580 _let_7579 _let_7578 _let_7577 _let_7576 _let_7575 _let_7574 _let_7573 _let_7572 _let_7571 _let_7570 _let_7569 _let_7568 _let_7567 _let_7566 _let_7565 _let_7564 _let_7563 _let_7562 _let_7561 _let_7560 _let_7559 _let_7558 _let_7557 _let_7556 _let_7555 _let_7554 _let_7553 _let_7552 _let_7551 _let_7550 _let_7549 _let_7548 _let_7547 _let_7546 _let_7545 _let_7544 _let_7543 _let_7542 _let_7541 _let_7540 _let_7539 _let_7538 _let_7537 _let_7536 _let_7535 _let_7534 _let_7533 _let_7532 _let_7531 _let_7530 _let_7529 _let_7528 _let_7527 _let_7526 _let_7525 _let_7524 _let_7523 _let_7522 _let_7521 _let_7520 _let_7519 _let_7518 _let_7517 _let_7516 _let_7515 _let_7514 _let_7513 _let_7512 _let_7511 _let_7510 _let_7509 _let_7508 _let_7507 _let_7506 _let_7505 _let_7504 _let_7503 _let_7502 _let_7501 _let_7500 _let_7499 _let_7498 _let_7497 _let_7496 _let_7495 _let_7494 _let_7493 _let_7492 _let_7491 _let_7490 _let_7489 _let_7488 _let_7487 _let_7486 _let_7485 _let_7484 _let_7483 _let_7482 _let_7481 _let_7480 _let_7479 _let_7478 _let_7477 _let_7476 _let_7475 _let_7474 _let_7473 _let_7472 _let_7471 _let_7470 _let_7469 _let_7468 _let_7467 _let_7466 _let_7465 _let_7464 _let_7463 _let_7462 _let_7461 _let_7460 _let_7459 _let_7458 _let_7457 _let_7456 _let_7455 _let_7454 _let_7453 _let_7452 _let_7451 _let_7450 _let_7449 _let_7448 _let_7447 _let_7446 _let_7445 _let_7444 _let_7443 _let_7442 _let_7441 _let_7440 _let_7439 _let_7438 _let_7437 _let_7436 _let_7435 _let_7434 _let_7433 _let_7432 _let_7431 _let_7430 _let_7429 _let_7428 _let_7427 _let_7426 _let_7425 _let_7424 _let_7423 _let_7422 _let_7421 _let_7420 _let_7419 _let_7418 _let_7417 _let_7416 _let_7415 _let_7414 _let_7413 _let_7412 _let_7411 _let_7410 _let_7409 _let_7408 _let_7407 _let_7406 _let_7405 _let_7404 _let_7403 _let_7402 _let_7401 _let_7400 _let_7399 _let_7398 _let_7397 _let_7396 _let_7395 _let_7394 _let_7393 _let_7392 _let_7391 _let_7390 _let_7389 _let_7388 _let_7387 _let_7386 _let_7385 _let_7384 _let_7383 _let_7382 _let_7381 _let_7380 _let_7379 _let_7378 _let_7377 _let_7376 _let_7375 _let_7374 _let_7373 _let_7372 _let_7371 _let_7370 _let_7369 _let_7368 _let_7367 _let_7366 _let_7365 _let_7364 _let_7363 _let_7362 _let_7361 _let_7360 _let_7359 _let_7358 _let_7357 _let_7356 _let_7355 _let_7354 _let_7353 _let_7352 _let_7351 _let_7350 _let_7349 _let_7348 _let_7347 _let_7346 _let_7345 _let_7344 _let_7343 _let_7342 _let_7341 _let_7340 _let_7339 _let_7338 _let_7337 _let_7336 _let_7335 _let_7334 _let_7333 _let_7332 _let_7331 _let_7330 _let_7329 _let_7328 _let_7327 _let_7326 _let_7325 _let_7324 _let_7323 _let_7322 _let_7321 _let_7320 _let_7319 _let_7318 _let_7317 _let_7316 _let_7315 _let_7314 _let_7313 _let_7312 _let_7311 _let_7310 _let_7309 _let_7308 _let_7307 _let_7306 _let_7305 _let_7304 _let_7303 _let_7302 _let_7301 _let_7300 _let_7299 _let_7298 _let_7297 _let_7296 _let_7295 _let_7294 _let_7293 _let_7292 _let_7291 _let_7290 _let_7289 _let_7288 _let_7287 _let_7286 _let_7285 _let_7284 _let_7283 _let_7282 _let_7281 _let_7280 _let_7279 _let_7278 _let_7277 _let_7276 _let_7275 _let_7274 _let_7273 _let_7272 _let_7271 _let_7270 _let_7269 _let_7268 _let_7267 _let_7266 _let_7265 _let_7264 _let_7263 _let_7262 _let_7261 _let_7260 _let_7259 _let_7258 _let_7257 _let_7256 _let_7255 _let_7254 _let_7253 _let_7252 _let_7251 _let_7250 _let_7249 _let_7248 _let_7247 _let_7246 _let_7245 _let_7244 _let_7243 _let_7242 _let_7241 _let_7240 _let_7239 _let_7238 _let_7237 _let_7236 _let_7235 _let_7234 _let_7233 _let_7232 _let_7231 _let_7230 _let_7229 _let_7228 _let_7227 _let_7226 _let_7225 _let_7224 _let_7223 _let_7222 _let_7221 _let_7220 _let_7219 _let_7218 _let_7217 _let_7216 _let_7215 _let_7214 _let_7213 _let_7212 _let_7211 _let_7210 _let_7209 _let_7208 _let_7207 _let_7206 _let_7205 _let_7204 _let_7203 _let_7202 _let_7201 _let_7200 _let_7199 _let_7198 _let_7197 _let_7196 _let_7195 _let_7194 _let_7193 _let_7192 _let_7191 _let_7190 _let_7189 _let_7188 _let_7187 _let_7186 _let_7185 _let_7184 _let_7183 _let_7182 _let_7181 _let_7180 _let_7179 _let_7178 _let_7177 _let_7176 _let_7175 _let_7174 _let_7173 _let_7172 _let_7171 _let_7170 _let_7169 _let_7168 _let_7167 _let_7166 _let_7165 _let_7164 _let_7163 _let_7162 _let_7161 _let_7160 _let_7159 _let_7158 _let_7157 _let_7156 _let_7155 _let_7154 _let_7153 _let_7152 _let_7151 _let_7150 _let_7149 _let_7148 _let_7147 _let_7146 _let_7145 _let_7144 _let_7143 _let_7142 _let_7141 _let_7140 _let_7139 _let_7138 _let_7137 _let_7136 _let_7135 _let_7134 _let_7133 _let_7132 _let_7131 _let_7130 _let_7129 _let_7128 _let_7127 _let_7126 _let_7125 _let_7124 _let_7123 _let_7122 _let_7121 _let_7120 _let_7119 _let_7118 _let_7117 _let_7116 _let_7115 _let_7114 _let_7113 _let_7112 _let_7111 _let_7110 _let_7109 _let_7108 _let_7107 _let_7106 _let_7105 _let_7104 _let_7103 _let_7102 _let_7101 _let_7100 _let_7099 _let_7098 _let_7097 _let_7096 _let_7095 _let_7094 _let_7093 _let_7092 _let_7091 _let_7090 _let_7089 _let_7088 _let_7087 _let_7086 _let_7085 _let_7084 _let_7083 _let_7082 _let_7081 _let_7080 _let_7079 _let_7078 _let_7077 _let_7076 _let_7075 _let_7074 _let_7073 _let_7072 _let_7071 _let_7070 _let_7069 _let_7068 _let_7067 _let_7066 _let_7065 _let_7064 _let_7063 _let_7062 _let_7061 _let_7060 _let_7059 _let_7058 _let_7057 _let_7056 _let_7055 _let_7054 _let_7053 _let_7052 _let_7051 _let_7050 _let_7049 _let_7048 _let_7047 _let_7046 _let_7045 _let_7044 _let_7043 _let_7042 _let_7041 _let_7040 _let_7039 _let_7038 _let_7037 _let_7036 _let_7035 _let_7034 _let_7033 _let_7032 _let_7031 _let_7030 _let_7029 _let_7028 _let_7027 _let_7026 _let_7025 _let_7024 _let_7023 _let_7022 _let_7021 _let_7020 _let_7019 _let_7018 _let_7017 _let_7016 _let_7015 _let_7014 _let_7013 _let_7012 _let_7011 _let_7010 _let_7009 _let_7008 _let_7007 _let_7006 _let_7005 _let_7004 _let_7003 _let_7002 _let_7001 _let_7000 _let_6999 _let_6998 _let_6997 _let_6996 _let_6995 _let_6994 _let_6993 _let_6992 _let_6991 _let_6990 _let_6989 _let_6988 _let_6987 _let_6986 _let_6985 _let_6984 _let_6983 _let_6982 _let_6981 _let_6980 _let_6979 _let_6978 _let_6977 _let_6976 _let_6975 _let_6974 _let_6973 _let_6972 _let_6971 _let_6970 _let_6969 _let_6968 _let_6967 _let_6966 _let_6965 _let_6964 _let_6963 _let_6962 _let_6961 _let_6960 _let_6959 _let_6958 _let_6957 _let_6956 _let_6955 _let_6954 _let_6953 _let_6952 _let_6951 _let_6950 _let_6949 _let_6948 _let_6947 _let_6946 _let_6945 _let_6944 _let_6943 _let_6942 _let_6941 _let_6940 _let_6939 _let_6938 _let_6937 _let_6936 _let_6935 _let_6934 _let_6933 _let_6932 _let_6931 _let_6930 _let_6929 _let_6928 _let_6927 _let_6926 _let_6925 _let_6924 _let_6923 _let_6922 _let_6921 _let_6920 _let_6919 _let_6918 _let_6917 _let_6916 _let_6915 _let_6914 _let_6913 _let_6912 _let_6911 _let_6910 _let_6909 _let_6908 _let_6907 _let_6906 _let_6905 _let_6904 _let_6903 _let_6902 _let_6901 _let_6900 _let_6899 _let_6898 _let_6897 _let_6896 _let_6895 _let_6894 _let_6893 _let_6892 _let_6891 _let_6890 _let_6889 _let_6888 _let_6887 _let_6886 _let_6885 _let_6884 _let_6883 _let_6882 _let_6881 _let_6880 _let_6879 _let_6878 _let_6877 _let_6876 _let_6875 _let_6874 _let_6873 _let_6872 _let_6871 _let_6870 _let_6869 _let_6868 _let_6867 _let_6866 _let_6865 _let_6864 _let_6863 _let_6862 _let_6861 _let_6860 _let_6859 _let_6858 _let_6857 _let_6856 _let_6855 _let_6854 _let_6853 _let_6852 _let_6851 _let_6850 _let_6849 _let_6848 _let_6847 _let_6846 _let_6845 _let_6844 _let_6843 _let_6842 _let_6841 _let_6840 _let_6839 _let_6838 _let_6837 _let_6836 _let_6835 _let_6834 _let_6833 _let_6832 _let_6831 _let_6830 _let_6829 _let_6828 _let_6827 _let_6826 _let_6825 _let_6824 _let_6823 _let_6822 _let_6821 _let_6820 _let_6819 _let_6818 _let_6817 _let_6816 _let_6815 _let_6814 _let_6813 _let_6812 _let_6811 _let_6810 _let_6809 _let_6808 _let_6807 _let_6806 _let_6805 _let_6804 _let_6803 _let_6802 _let_6801 _let_6800 _let_6799 _let_6798 _let_6797 _let_6796 _let_6795 _let_6794 _let_6793 _let_6792 _let_6791 _let_6790 _let_6789 _let_6788 _let_6787 _let_6786 _let_6785 _let_6784 _let_6783 _let_6782 _let_6781 _let_6780 _let_6779 _let_6778 _let_6777 _let_6776 _let_6775 _let_6774 _let_6773 _let_6772 _let_6771 _let_6770 _let_6769 _let_6768 _let_6767 _let_6766 _let_6765 _let_6764 _let_6763 _let_6762 _let_6761 _let_6760 _let_6759 _let_6758 _let_6757 _let_6756 _let_6755 _let_6754 _let_6753 _let_6752 _let_6751 _let_6750 _let_6749 _let_6748 _let_6747 _let_6746 _let_6745 _let_6744 _let_6743 _let_6742 _let_6741 _let_6740 _let_6739 _let_6738 _let_6737 _let_6736 _let_6735 _let_6734 _let_6733 _let_6732 _let_6731 _let_6730 _let_6729 _let_6728 _let_6727 _let_6726 _let_6725 _let_6724 _let_6723 _let_6722 _let_6721 _let_6720 _let_6719 _let_6718 _let_6717 _let_6716 _let_6715 _let_6714 _let_6713 _let_6712 _let_6711 _let_6710 _let_6709 _let_6708 _let_6707 _let_6706 _let_6705 _let_6704 _let_6703 _let_6702 _let_6701 _let_6700 _let_6699 _let_6698 _let_6697 _let_6696 _let_6695 _let_6694 _let_6693 _let_6692 _let_6691 _let_6690 _let_6689 _let_6688 _let_6687 _let_6686 _let_6685 _let_6684 _let_6683 _let_6682 _let_6681 _let_6680 _let_6679 _let_6678 _let_6677 _let_6676 _let_6675 _let_6674 _let_6673 _let_6672 _let_6671 _let_6670 _let_6669 _let_6668 _let_6667 _let_6666 _let_6665 _let_6664 _let_6663 _let_6662 _let_6661 _let_6660 _let_6659 _let_6658 _let_6657 _let_6656 _let_6655 _let_6654 _let_6653 _let_6652 _let_6651 _let_6650 _let_6649 _let_6648 _let_6647 _let_6646 _let_6645 _let_6644 _let_6643 _let_6642 _let_6641 _let_6640 _let_6639 _let_6638 _let_6637 _let_6636 _let_6635 _let_6634 _let_6633 _let_6632 _let_6631 _let_6630 _let_6629 _let_6628 _let_6627 _let_6626 _let_6625 _let_6624 _let_6623 _let_6622 _let_6621 _let_6620 _let_6619 _let_6618 _let_6617 _let_6616 _let_6615 _let_6614 _let_6613 _let_6612 _let_6611 _let_6610 _let_6609 _let_6608 _let_6607 _let_6606 _let_6605 _let_6604 _let_6603 _let_6602 _let_6601 _let_6600 _let_6599 _let_6598 _let_6597 _let_6596 _let_6595 _let_6594 _let_6593 _let_6592 _let_6591 _let_6590 _let_6589 _let_6588 _let_6587 _let_6586 _let_6585 _let_6584 _let_6583 _let_6582 _let_6581 _let_6580 _let_6579 _let_6578 _let_6577 _let_6576 _let_6575 _let_6574 _let_6573 _let_6572 _let_6571 _let_6570 _let_6569 _let_6568 _let_6567 _let_6566 _let_6565 _let_6564 _let_6563 _let_6562 _let_6561 _let_6560 _let_6559 _let_6558 _let_6557 _let_6556 _let_6555 _let_6554 _let_6553 _let_6552 _let_6551 _let_6550 _let_6549 _let_6548 _let_6547 _let_6546 _let_6545 _let_6544 _let_6543 _let_6542 _let_6541 _let_6540 _let_6539 _let_6538 _let_6537 _let_6536 _let_6535 _let_6534 _let_6533 _let_6532 _let_6531 _let_6530 _let_6529 _let_6528 _let_6527 _let_6526 _let_6525 _let_6524 _let_6523 _let_6522 _let_6521 _let_6520 _let_6519 _let_6518 _let_6517 _let_6516 _let_6515 _let_6514 _let_6513 _let_6512 _let_6511 _let_6510 _let_6509 _let_6508 _let_6507 _let_6506 _let_6505 _let_6504 _let_6503 _let_6502 _let_6501 _let_6500 _let_6499 _let_6498 _let_6497 _let_6496 _let_6495 _let_6494 _let_6493 _let_6492 _let_6491 _let_6490 _let_6489 _let_6488 _let_6487 _let_6486 _let_6485 _let_6484 _let_6483 _let_6482 _let_6481 _let_6480 _let_6479 _let_6478 _let_6477 _let_6476 _let_6475 _let_6474 _let_6473 _let_6472 _let_6471 _let_6470 _let_6469 _let_6468 _let_6467 _let_6466 _let_6465 _let_6464 _let_6463 _let_6462 _let_6461 _let_6460 _let_6459 _let_6458 _let_6457 _let_6456 _let_6455 _let_6454 _let_6453 _let_6452 _let_6451 _let_6450 _let_6449 _let_6448 _let_6447 _let_6446 _let_6445 _let_6444 _let_6443 _let_6442 _let_6441 _let_6440 _let_6439 _let_6438 _let_6437 _let_6436 _let_6435 _let_6434 _let_6433 _let_6432 _let_6431 _let_6430 _let_6429 _let_6428 _let_6427 _let_6426 _let_6425 _let_6424 _let_6423 _let_6422 _let_6421 _let_6420 _let_6419 _let_6418 _let_6417 _let_6416 _let_6415 _let_6414 _let_6413 _let_6412 _let_6411 _let_6410 _let_6409 _let_6408 _let_6407 _let_6406 _let_6405 _let_6404 _let_6403 _let_6402 _let_6401 _let_6400 _let_6399 _let_6398 _let_6397 _let_6396 _let_6395 _let_6394 _let_6393 _let_6392 _let_6391 _let_6390 _let_6389 _let_6388 _let_6387 _let_6386 _let_6385 _let_6384 _let_6383 _let_6382 _let_6381 _let_6380 _let_6379 _let_6378 _let_6377 _let_6376 _let_6375 _let_6374 _let_6373 _let_6372 _let_6371 _let_6370 _let_6369 _let_6368 _let_6367 _let_6366 _let_6365 _let_6364 _let_6363 _let_6362 _let_6361 _let_6360 _let_6359 _let_6358 _let_6357 _let_6356 _let_6355 _let_6354 _let_6353 _let_6352 _let_6351 _let_6350 _let_6349 _let_6348 _let_6347 _let_6346 _let_6345 _let_6344 _let_6343 _let_6342 _let_6341 _let_6340 _let_6339 _let_6338 _let_6337 _let_6336 _let_6335 _let_6334 _let_6333 _let_6332 _let_6331 _let_6330 _let_6329 _let_6328 _let_6327 _let_6326 _let_6325 _let_6324 _let_6323 _let_6322 _let_6321 _let_6320 _let_6319 _let_6318 _let_6317 _let_6316 _let_6315 _let_6314 _let_6313 _let_6312 _let_6311 _let_6310 _let_6309 _let_6308 _let_6307 _let_6306 _let_6305 _let_6304 _let_6303 _let_6302 _let_6301 _let_6300 _let_6299 _let_6298 _let_6297 _let_6296 _let_6295 _let_6294 _let_6293 _let_6292 _let_6291 _let_6290 _let_6289 _let_6288 _let_6287 _let_6286 _let_6285 _let_6284 _let_6283 _let_6282 _let_6281 _let_6280 _let_6279 _let_6278 _let_6277 _let_6276 _let_6275 _let_6274 _let_6273 _let_6272 _let_6271 _let_6270 _let_6269 _let_6268 _let_6267 _let_6266 _let_6265 _let_6264 _let_6263 _let_6262 _let_6261 _let_6260 _let_6259 _let_6258 _let_6257 _let_6256 _let_6255 _let_6254 _let_6253 _let_6252 _let_6251 _let_6250 _let_6249 _let_6248 _let_6247 _let_6246 _let_6245 _let_6244 _let_6243 _let_6242 _let_6241 _let_6240 _let_6239 _let_6238 _let_6237 _let_6236 _let_6235 _let_6234 _let_6233 _let_6232 _let_6231 _let_6230 _let_6229 _let_6228 _let_6227 _let_6226 _let_6225 _let_6224 _let_6223 _let_6222 _let_6221 _let_6220 _let_6219 _let_6218 _let_6217 _let_6216 _let_6215 _let_6214 _let_6213 _let_6212 _let_6211 _let_6210 _let_6209 _let_6208 _let_6207 _let_6206 _let_6205 _let_6204 _let_6203 _let_6202 _let_6201 _let_6200 _let_6199 _let_6198 _let_6197 _let_6196 _let_6195 _let_6194 _let_6193 _let_6192 _let_6191 _let_6190 _let_6189 _let_6188 _let_6187 _let_6186 _let_6185 _let_6184 _let_6183 _let_6182 _let_6181 _let_6180 _let_6179 _let_6178 _let_6177 _let_6176 _let_6175 _let_6174 _let_6173 _let_6172 _let_6171 _let_6170 _let_6169 _let_6168 _let_6167 _let_6166 _let_6165 _let_6164 _let_6163 _let_6162 _let_6161 _let_6160 _let_6159 _let_6158 _let_6157 _let_6156 _let_6155 _let_6154 _let_6153 _let_6152 _let_6151 _let_6150 _let_6149 _let_6148 _let_6147 _let_6146 _let_6145 _let_6144 _let_6143 _let_6142 _let_6141 _let_6140 _let_6139 _let_6138 _let_6137 _let_6136 _let_6135 _let_6134 _let_6133 _let_6132 _let_6131 _let_6130 _let_6129 _let_6128 _let_6127 _let_6126 _let_6125 _let_6124 _let_6123 _let_6122 _let_6121 _let_6120 _let_6119 _let_6118 _let_6117 _let_6116 _let_6115 _let_6114 _let_6113 _let_6112 _let_6111 _let_6110 _let_6109 _let_6108 _let_6107 _let_6106 _let_6105 _let_6104 _let_6103 _let_6102 _let_6101 _let_6100 _let_6099 _let_6098 _let_6097 _let_6096 _let_6095 _let_6094 _let_6093 _let_6092 _let_6091 _let_6090 _let_6089 _let_6088 _let_6087 _let_6086 _let_6085 _let_6084 _let_6083 _let_6082 _let_6081 _let_6080 _let_6079 _let_6078 _let_6077 _let_6076 _let_6075 _let_6074 _let_6073 _let_6072 _let_6071 _let_6070 _let_6069 _let_6068 _let_6067 _let_6066 _let_6065 _let_6064 _let_6063 _let_6062 _let_6061 _let_6060 _let_6059 _let_6058 _let_6057 _let_6056 _let_6055 _let_6054 _let_6053 _let_6052 _let_6051 _let_6050 _let_6049 _let_6048 _let_6047 _let_6046 _let_6045 _let_6044 _let_6043 _let_6042 _let_6041 _let_6040 _let_6039 _let_6038 _let_6037 _let_6036 _let_6035 _let_6034 _let_6033 _let_6032 _let_6031 _let_6030 _let_6029 _let_6028 _let_6027 _let_6026 _let_6025 _let_6024 _let_6023 _let_6022 _let_6021 _let_6020 _let_6019 _let_6018 _let_6017 _let_6016 _let_6015 _let_6014 _let_6013 _let_6012 _let_6011 _let_6010 _let_6009 _let_6008 _let_6007 _let_6006 _let_6005 _let_6004 _let_6003 _let_6002 _let_6001 _let_6000 _let_5999 _let_5998 _let_5997 _let_5996 _let_5995 _let_5994 _let_5993 _let_5992 _let_5991 _let_5990 _let_5989 _let_5988 _let_5987 _let_5986 _let_5985 _let_5984 _let_5983 _let_5982 _let_5981 _let_5980 _let_5979 _let_5978 _let_5977 _let_5976 _let_5975 _let_5974 _let_5973 _let_5972 _let_5971 _let_5970 _let_5969 _let_5968 _let_5967 _let_5966 _let_5965 _let_5964 _let_5963 _let_5962 _let_5961 _let_5960 _let_5959 _let_5958 _let_5957 _let_5956 _let_5955 _let_5954 _let_5953 _let_5952 _let_5951 _let_5950 _let_5949 _let_5948 _let_5947 _let_5946 _let_5945 _let_5944 _let_5943 _let_5942 _let_5941 _let_5940 _let_5939 _let_5938 _let_5937 _let_5936 _let_5935 _let_5934 _let_5933 _let_5932 _let_5931 _let_5930 _let_5929 _let_5928 _let_5927 _let_5926 _let_5925 _let_5924 _let_5923 _let_5922 _let_5921 _let_5920 _let_5919 _let_5918 _let_5917 _let_5916 _let_5915 _let_5914 _let_5913 _let_5912 _let_5911 _let_5910 _let_5909 _let_5908 _let_5907 _let_5906 _let_5905 _let_5904 _let_5903 _let_5902 _let_5901 _let_5900 _let_5899 _let_5898 _let_5897 _let_5896 _let_5895 _let_5894 _let_5893 _let_5892 _let_5891 _let_5890 _let_5889 _let_5888 _let_5887 _let_5886 _let_5885 _let_5884 _let_5883 _let_5882 _let_5881 _let_5880 _let_5879 _let_5878 _let_5877 _let_5876 _let_5875 _let_5874 _let_5873 _let_5872 _let_5871 _let_5870 _let_5869 _let_5868 _let_5867 _let_5866 _let_5865 _let_5864 _let_5863 _let_5862 _let_5861 _let_5860 _let_5859 _let_5858 _let_5857 _let_5856 _let_5855 _let_5854 _let_5853 _let_5852 _let_5851 _let_5850 _let_5849 _let_5848 _let_5847 _let_5846 _let_5845 _let_5844 _let_5843 _let_5842 _let_5841 _let_5840 _let_5839 _let_5838 _let_5837 _let_5836 _let_5835 _let_5834 _let_5833 _let_5832 _let_5831 _let_5830 _let_5829 _let_5828 _let_5827 _let_5826 _let_5825 _let_5824 _let_5823 _let_5822 _let_5821 _let_5820 _let_5819 _let_5818 _let_5817 _let_5816 _let_5815 _let_5814 _let_5813 _let_5812 _let_5811 _let_5810 _let_5809 _let_5808 _let_5807 _let_5806 _let_5805 _let_5804 _let_5803 _let_5802 _let_5801 _let_5800 _let_5799 _let_5798 _let_5797 _let_5796 _let_5795 _let_5794 _let_5793 _let_5792 _let_5791 _let_5790 _let_5789 _let_5788 _let_5787 _let_5786 _let_5785 _let_5784 _let_5783 _let_5782 _let_5781 _let_5780 _let_5779 _let_5778 _let_5777 _let_5776 _let_5775 _let_5774 _let_5773 _let_5772 _let_5771 _let_5770 _let_5769 _let_5768 _let_5767 _let_5766 _let_5765 _let_5764 _let_5763 _let_5762 _let_5761 _let_5760 _let_5759 _let_5758 _let_5757 _let_5756 _let_5755 _let_5754 _let_5753 _let_5752 _let_5751 _let_5750 _let_5749 _let_5748 _let_5747 _let_5746 _let_5745 _let_5744 _let_5743 _let_5742 _let_5741 _let_5740 _let_5739 _let_5738 _let_5737 _let_5736 _let_5735 _let_5734 _let_5733 _let_5732 _let_5731 _let_5730 _let_5729 _let_5728 _let_5727 _let_5726 _let_5725 _let_5724 _let_5723 _let_5722 _let_5721 _let_5720 _let_5719 _let_5718 _let_5717 _let_5716 _let_5715 _let_5714 _let_5713 _let_5712 _let_5711 _let_5710 _let_5709 _let_5708 _let_5707 _let_5706 _let_5705 _let_5704 _let_5703 _let_5702 _let_5701 _let_5700 _let_5699 _let_5698 _let_5697 _let_5696 _let_5695 _let_5694 _let_5693 _let_5692 _let_5691 _let_5690 _let_5689 _let_5688 _let_5687 _let_5686 _let_5685 _let_5684 _let_5683 _let_5682 _let_5681 _let_5680 _let_5679 _let_5678 _let_5677 _let_5676 _let_5675 _let_5674 _let_5673 _let_5672 _let_5671 _let_5670 _let_5669 _let_5668 _let_5667 _let_5666 _let_5665 _let_5664 _let_5663 _let_5662 _let_5661 _let_5660 _let_5659 _let_5658 _let_5657 _let_5656 _let_5655 _let_5654 _let_5653 _let_5652 _let_5651 _let_5650 _let_5649 _let_5648 _let_5647 _let_5646 _let_5645 _let_5644 _let_5643 _let_5642 _let_5641 _let_5640 _let_5639 _let_5638 _let_5637 _let_5636 _let_5635 _let_5634 _let_5633 _let_5632 _let_5631 _let_5630 _let_5629 _let_5628 _let_5627 _let_5626 _let_5625 _let_5624 _let_5623 _let_5622 _let_5621 _let_5620 _let_5619 _let_5618 _let_5617 _let_5616 _let_5615 _let_5614 _let_5613 _let_5612 _let_5611 _let_5610 _let_5609 _let_5608 _let_5607 _let_5606 _let_5605 _let_5604 _let_5603 _let_5602 _let_5601 _let_5600 _let_5599 _let_5598 _let_5597 _let_5596 _let_5595 _let_5594 _let_5593 _let_5592 _let_5591 _let_5590 _let_5589 _let_5588 _let_5587 _let_5586 _let_5585 _let_5584 _let_5583 _let_5582 _let_5581 _let_5580 _let_5579 _let_5578 _let_5577 _let_5576 _let_5575 _let_5574 _let_5573 _let_5572 _let_5571 _let_5570 _let_5569 _let_5568 _let_5567 _let_5566 _let_5565 _let_5564 _let_5563 _let_5562 _let_5561 _let_5560 _let_5559 _let_5558 _let_5557 _let_5556 _let_5555 _let_5554 _let_5553 _let_5552 _let_5551 _let_5550 _let_5549 _let_5548 _let_5547 _let_5546 _let_5545 _let_5544 _let_5543 _let_5542 _let_5541 _let_5540 _let_5539 _let_5538 _let_5537 _let_5536 _let_5535 _let_5534 _let_5533 _let_5532 _let_5531 _let_5530 _let_5529 _let_5528 _let_5527 _let_5526 _let_5525 _let_5524 _let_5523 _let_5522 _let_5521 _let_5520 _let_5519 _let_5518 _let_5517 _let_5516 _let_5515 _let_5514 _let_5513 _let_5512 _let_5511 _let_5510 _let_5509 _let_5508 _let_5507 _let_5506 _let_5505 _let_5504 _let_5503 _let_5502 _let_5501 _let_5500 _let_5499 _let_5498 _let_5497 _let_5496 _let_5495 _let_5494 _let_5493 _let_5492 _let_5491 _let_5490 _let_5489 _let_5488 _let_5487 _let_5486 _let_5485 _let_5484 _let_5483 _let_5482 _let_5481 _let_5480 _let_5479 _let_5478 _let_5477 _let_5476 _let_5475 _let_5474 _let_5473 _let_5472 _let_5471 _let_5470 _let_5469 _let_5468 _let_5467 _let_5466 _let_5465 _let_5464 _let_5463 _let_5462 _let_5461 _let_5460 _let_5459 _let_5458 _let_5457 _let_5456 _let_5455 _let_5454 _let_5453 _let_5452 _let_5451 _let_5450 _let_5449 _let_5448 _let_5447 _let_5446 _let_5445 _let_5444 _let_5443 _let_5442 _let_5441 _let_5440 _let_5439 _let_5438 _let_5437 _let_5436 _let_5435 _let_5434 _let_5433 _let_5432 _let_5431 _let_5430 _let_5429 _let_5428 _let_5427 _let_5426 _let_5425 _let_5424 _let_5423 _let_5422 _let_5421 _let_5420 _let_5419 _let_5418 _let_5417 _let_5416 _let_5415 _let_5414 _let_5413 _let_5412 _let_5411 _let_5410 _let_5409 _let_5408 _let_5407 _let_5406 _let_5405 _let_5404 _let_5403 _let_5402 _let_5401 _let_5400 _let_5399 _let_5398 _let_5397 _let_5396 _let_5395 _let_5394 _let_5393 _let_5392 _let_5391 _let_5390 _let_5389 _let_5388 _let_5387 _let_5386 _let_5385 _let_5384 _let_5383 _let_5382 _let_5381 _let_5380 _let_5379 _let_5378 _let_5377 _let_5376 _let_5375 _let_5374 _let_5373 _let_5372 _let_5371 _let_5370 _let_5369 _let_5368 _let_5367 _let_5366 _let_5365 _let_5364 _let_5363 _let_5362 _let_5361 _let_5360 _let_5359 _let_5358 _let_5357 _let_5356 _let_5355 _let_5354 _let_5353 _let_5352 _let_5351 _let_5350 _let_5349 _let_5348 _let_5347 _let_5346 _let_5345 _let_5344 _let_5343 _let_5342 _let_5341 _let_5340 _let_5339 _let_5338 _let_5337 _let_5336 _let_5335 _let_5334 _let_5333 _let_5332 _let_5331 _let_5330 _let_5329 _let_5328 _let_5327 _let_5326 _let_5325 _let_5324 _let_5323 _let_5322 _let_5321 _let_5320 _let_5319 _let_5318 _let_5317 _let_5316 _let_5315 _let_5314 _let_5313 _let_5312 _let_5311 _let_5310 _let_5309 _let_5308 _let_5307 _let_5306 _let_5305 _let_5304 _let_5303 _let_5302 _let_5301 _let_5300 _let_5299 _let_5298 _let_5297 _let_5296 _let_5295 _let_5294 _let_5293 _let_5292 _let_5291 _let_5290 _let_5289 _let_5288 _let_5287 _let_5286 _let_5285 _let_5284 _let_5283 _let_5282 _let_5281 _let_5280 _let_5279 _let_5278 _let_5277 _let_5276 _let_5275 _let_5274 _let_5273 _let_5272 _let_5271 _let_5270 _let_5269 _let_5268 _let_5267 _let_5266 _let_5265 _let_5264 _let_5263 _let_5262 _let_5261 _let_5260 _let_5259 _let_5258 _let_5257 _let_5256 _let_5255 _let_5254 _let_5253 _let_5252 _let_5251 _let_5250 _let_5249 _let_5248 _let_5247 _let_5246 _let_5245 _let_5244 _let_5243 _let_5242 _let_5241 _let_5240 _let_5239 _let_5238 _let_5237 _let_5236 _let_5235 _let_5234 _let_5233 _let_5232 _let_5231 _let_5230 _let_5229 _let_5228 _let_5227 _let_5226 _let_5225 _let_5224 _let_5223 _let_5222 _let_5221 _let_5220 _let_5219 _let_5218 _let_5217 _let_5216 _let_5215 _let_5214 _let_5213 _let_5212 _let_5211 _let_5210 _let_5209 _let_5208 _let_5207 _let_5206 _let_5205 _let_5204 _let_5203 _let_5202 _let_5201 _let_5200 _let_5199 _let_5198 _let_5197 _let_5196 _let_5195 _let_5194 _let_5193 _let_5192 _let_5191 _let_5190 _let_5189 _let_5188 _let_5187 _let_5186 _let_5185 _let_5184 _let_5183 _let_5182 _let_5181 _let_5180 _let_5179 _let_5178 _let_5177 _let_5176 _let_5175 _let_5174 _let_5173 _let_5172 _let_5171 _let_5170 _let_5169 _let_5168 _let_5167 _let_5166 _let_5165 _let_5164 _let_5163 _let_5162 _let_5161 _let_5160 _let_5159 _let_5158 _let_5157 _let_5156 _let_5155 _let_5154 _let_5153 _let_5152 _let_5151 _let_5150 _let_5149 _let_5148 _let_5147 _let_5146 _let_5145 _let_5144 _let_5143 _let_5142 _let_5141 _let_5140 _let_5139 _let_5138 _let_5137 _let_5136 _let_5135 _let_5134 _let_5133 _let_5132 _let_5131 _let_5130 _let_5129 _let_5128 _let_5127 _let_5126 _let_5125 _let_5124 _let_5123 _let_5122 _let_5121 _let_5120 _let_5119 _let_5118 _let_5117 _let_5116 _let_5115 _let_5114 _let_5113 _let_5112 _let_5111 _let_5110 _let_5109 _let_5108 _let_5107 _let_5106 _let_5105 _let_5104 _let_5103 _let_5102 _let_5101 _let_5100 _let_5099 _let_5098 _let_5097 _let_5096 _let_5095 _let_5094 _let_5093 _let_5092 _let_5091 _let_5090 _let_5089 _let_5088 _let_5087 _let_5086 _let_5085 _let_5084 _let_5083 _let_5082 _let_5081 _let_5080 _let_5079 _let_5078 _let_5077 _let_5076 _let_5075 _let_5074 _let_5073 _let_5072 _let_5071 _let_5070 _let_5069 _let_5068 _let_5067 _let_5066 _let_5065 _let_5064 _let_5063 _let_5062 _let_5061 _let_5060 _let_5059 _let_5058 _let_5057 _let_5056 _let_5055 _let_5054 _let_5053 _let_5052 _let_5051 _let_5050 _let_5049 _let_5048 _let_5047 _let_5046 _let_5045 _let_5044 _let_5043 _let_5042 _let_5041 _let_5040 _let_5039 _let_5038 _let_5037 _let_5036 _let_5035 _let_5034 _let_5033 _let_5032 _let_5031 _let_5030 _let_5029 _let_5028 _let_5027 _let_5026 _let_5025 _let_5024 _let_5023 _let_5022 _let_5021 _let_5020 _let_5019 _let_5018 _let_5017 _let_5016 _let_5015 _let_5014 _let_5013 _let_5012 _let_5011 _let_5010 _let_5009 _let_5008 _let_5007 _let_5006 _let_5005 _let_5004 _let_5003 _let_5002 _let_5001 _let_5000 _let_4999 _let_4998 _let_4997 _let_4996 _let_4995 _let_4994 _let_4993 _let_4992 _let_4991 _let_4990 _let_4989 _let_4988 _let_4987 _let_4986 _let_4985 _let_4984 _let_4983 _let_4982 _let_4981 _let_4980 _let_4979 _let_4978 _let_4977 _let_4976 _let_4975 _let_4974 _let_4973 _let_4972 _let_4971 _let_4970 _let_4969 _let_4968 _let_4967 _let_4966 _let_4965 _let_4964 _let_4963 _let_4962 _let_4961 _let_4960 _let_4959 _let_4958 _let_4957 _let_4956 _let_4955 _let_4954 _let_4953 _let_4952 _let_4951 _let_4950 _let_4949 _let_4948 _let_4947 _let_4946 _let_4945 _let_4944 _let_4943 _let_4942 _let_4941 _let_4940 _let_4939 _let_4938 _let_4937 _let_4936 _let_4935 _let_4934 _let_4933 _let_4932 _let_4931 _let_4930 _let_4929 _let_4928 _let_4927 _let_4926 _let_4925 _let_4924 _let_4923 _let_4922 _let_4921 _let_4920 _let_4919 _let_4918 _let_4917 _let_4916 _let_4915 _let_4914 _let_4913 _let_4912 _let_4911 _let_4910 _let_4909 _let_4908 _let_4907 _let_4906 _let_4905 _let_4904 _let_4903 _let_4902 _let_4901 _let_4900 _let_4899 _let_4898 _let_4897 _let_4896 _let_4895 _let_4894 _let_4893 _let_4892 _let_4891 _let_4890 _let_4889 _let_4888 _let_4887 _let_4886 _let_4885 _let_4884 _let_4883 _let_4882 _let_4881 _let_4880 _let_4879 _let_4878 _let_4877 _let_4876 _let_4875 _let_4874 _let_4873 _let_4872 _let_4871 _let_4870 _let_4869 _let_4868 _let_4867 _let_4866 _let_4865 _let_4864 _let_4863 _let_4862 _let_4861 _let_4860 _let_4859 _let_4858 _let_4857 _let_4856 _let_4855 _let_4854 _let_4853 _let_4852 _let_4851 _let_4850 _let_4849 _let_4848 _let_4847 _let_4846 _let_4845 _let_4844 _let_4843 _let_4842 _let_4841 _let_4840 _let_4839 _let_4838 _let_4837 _let_4836 _let_4835 _let_4834 _let_4833 _let_4832 _let_4831 _let_4830 _let_4829 _let_4828 _let_4827 _let_4826 _let_4825 _let_4824 _let_4823 _let_4822 _let_4821 _let_4820 _let_4819 _let_4818 _let_4817 _let_4816 _let_4815 _let_4814 _let_4813 _let_4812 _let_4811 _let_4810 _let_4809 _let_4808 _let_4807 _let_4806 _let_4805 _let_4804 _let_4803 _let_4802 _let_4801 _let_4800 _let_4799 _let_4798 _let_4797 _let_4796 _let_4795 _let_4794 _let_4793 _let_4792 _let_4791 _let_4790 _let_4789 _let_4788 _let_4787 _let_4786 _let_4785 _let_4784 _let_4783 _let_4782 _let_4781 _let_4780 _let_4779 _let_4778 _let_4777 _let_4776 _let_4775 _let_4774 _let_4773 _let_4772 _let_4771 _let_4770 _let_4769 _let_4768 _let_4767 _let_4766 _let_4765 _let_4764 _let_4763 _let_4762 _let_4761 _let_4760 _let_4759 _let_4758 _let_4757 _let_4756 _let_4755 _let_4754 _let_4753 _let_4752 _let_4751 _let_4750 _let_4749 _let_4748 _let_4747 _let_4746 _let_4745 _let_4744 _let_4743 _let_4742 _let_4741 _let_4740 _let_4739 _let_4738 _let_4737 _let_4736 _let_4735 _let_4734 _let_4733 _let_4732 _let_4731 _let_4730 _let_4729 _let_4728 _let_4727 _let_4726 _let_4725 _let_4724 _let_4723 _let_4722 _let_4721 _let_4720 _let_4719 _let_4718 _let_4717 _let_4716 _let_4715 _let_4714 _let_4713 _let_4712 _let_4711 _let_4710 _let_4709 _let_4708 _let_4707 _let_4706 _let_4705 _let_4704 _let_4703 _let_4702 _let_4701 _let_4700 _let_4699 _let_4698 _let_4697 _let_4696 _let_4695 _let_4694 _let_4693 _let_4692 _let_4691 _let_4690 _let_4689 _let_4688 _let_4687 _let_4686 _let_4685 _let_4684 _let_4683 _let_4682 _let_4681 _let_4680 _let_4679 _let_4678 _let_4677 _let_4676 _let_4675 _let_4674 _let_4673 _let_4672 _let_4671 _let_4670 _let_4669 _let_4668 _let_4667 _let_4666 _let_4665 _let_4664 _let_4663 _let_4662 _let_4661 _let_4660 _let_4659 _let_4658 _let_4657 _let_4656 _let_4655 _let_4654 _let_4653 _let_4652 _let_4651 _let_4650 _let_4649 _let_4648 _let_4647 _let_4646 _let_4645 _let_4644 _let_4643 _let_4642 _let_4641 _let_4640 _let_4639 _let_4638 _let_4637 _let_4636 _let_4635 _let_4634 _let_4633 _let_4632 _let_4631 _let_4630 _let_4629 _let_4628 _let_4627 _let_4626 _let_4625 _let_4624 _let_4623 _let_4622 _let_4621 _let_4620 _let_4619 _let_4618 _let_4617 _let_4616 _let_4615 _let_4614 _let_4613 _let_4612 _let_4611 _let_4610 _let_4609 _let_4608 _let_4607 _let_4606 _let_4605 _let_4604 _let_4603 _let_4602 _let_4601 _let_4600 _let_4599 _let_4598 _let_4597 _let_4596 _let_4595 _let_4594 _let_4593 _let_4592 _let_4591 _let_4590 _let_4589 _let_4588 _let_4587 _let_4586 _let_4585 _let_4584 _let_4583 _let_4582 _let_4581 _let_4580 _let_4579 _let_4578 _let_4577 _let_4576 _let_4575 _let_4574 _let_4573 _let_4572 _let_4571 _let_4570 _let_4569 _let_4568 _let_4567 _let_4566 _let_4565 _let_4564 _let_4563 _let_4562 _let_4561 _let_4560 _let_4559 _let_4558 _let_4557 _let_4556 _let_4555 _let_4554 _let_4553 _let_4552 _let_4551 _let_4550 _let_4549 _let_4548 _let_4547 _let_4546 _let_4545 _let_4544 _let_4543 _let_4542 _let_4541 _let_4540 _let_4539 _let_4538 _let_4537 _let_4536 _let_4535 _let_4534 _let_4533 _let_4532 _let_4531 _let_4530 _let_4529 _let_4528 _let_4527 _let_4526 _let_4525 _let_4524 _let_4523 _let_4522 _let_4521 _let_4520 _let_4519 _let_4518 _let_4517 _let_4516 _let_4515 _let_4514 _let_4513 _let_4512 _let_4511 _let_4510 _let_4509 _let_4508 _let_4507 _let_4506 _let_4505 _let_4504 _let_4503 _let_4502 _let_4501 _let_4500 _let_4499 _let_4498 _let_4497 _let_4496 _let_4495 _let_4494 _let_4493 _let_4492 _let_4491 _let_4490 _let_4489 _let_4488 _let_4487 _let_4486 _let_4485 _let_4484 _let_4483 _let_4482 _let_4481 _let_4480 _let_4479 _let_4478 _let_4477 _let_4476 _let_4475 _let_4474 _let_4473 _let_4472 _let_4471 _let_4470 _let_4469 _let_4468 _let_4467 _let_4466 _let_4465 _let_4464 _let_4463 _let_4462 _let_4461 _let_4460 _let_4459 _let_4458 _let_4457 _let_4456 _let_4455 _let_4454 _let_4453 _let_4452 _let_4451 _let_4450 _let_4449 _let_4448 _let_4447 _let_4446 _let_4445 _let_4444 _let_4443 _let_4442 _let_4441 _let_4440 _let_4439 _let_4438 _let_4437 _let_4436 _let_4435 _let_4434 _let_4433 _let_4432 _let_4431 _let_4430 _let_4429 _let_4428 _let_4427 _let_4426 _let_4425 _let_4424 _let_4423 _let_4422 _let_4421 _let_4420 _let_4419 _let_4418 _let_4417 _let_4416 _let_4415 _let_4414 _let_4413 _let_4412 _let_4411 _let_4410 _let_4409 _let_4408 _let_4407 _let_4406 _let_4405 _let_4404 _let_4403 _let_4402 _let_4401 _let_4400 _let_4399 _let_4398 _let_4397 _let_4396 _let_4395 _let_4394 _let_4393 _let_4392 _let_4391 _let_4390 _let_4389 _let_4388 _let_4387 _let_4386 _let_4385 _let_4384 _let_4383 _let_4382 _let_4381 _let_4380 _let_4379 _let_4378 _let_4377 _let_4376 _let_4375 _let_4374 _let_4373 _let_4372 _let_4371 _let_4370 _let_4369 _let_4368 _let_4367 _let_4366 _let_4365 _let_4364 _let_4363 _let_4362 _let_4361 _let_4360 _let_4359 _let_4358 _let_4357 _let_4356 _let_4355 _let_4354 _let_4353 _let_4352 _let_4351 _let_4350 _let_4349 _let_4348 _let_4347 _let_4346 _let_4345 _let_4344 _let_4343 _let_4342 _let_4341 _let_4340 _let_4339 _let_4338 _let_4337 _let_4336 _let_4335 _let_4334 _let_4333 _let_4332 _let_4331 _let_4330 _let_4329 _let_4328 _let_4327 _let_4326 _let_4325 _let_4324 _let_4323 _let_4322 _let_4321 _let_4320 _let_4319 _let_4318 _let_4317 _let_4316 _let_4315 _let_4314 _let_4313 _let_4312 _let_4311 _let_4310 _let_4309 _let_4308 _let_4307 _let_4306 _let_4305 _let_4304 _let_4303 _let_4302 _let_4301 _let_4300 _let_4299 _let_4298 _let_4297 _let_4296 _let_4295 _let_4294 _let_4293 _let_4292 _let_4291 _let_4290 _let_4289 _let_4288 _let_4287 _let_4286 _let_4285 _let_4284 _let_4283 _let_4282 _let_4281 _let_4280 _let_4279 _let_4278 _let_4277 _let_4276 _let_4275 _let_4274 _let_4273 _let_4272 _let_4271 _let_4270 _let_4269 _let_4268 _let_4267 _let_4266 _let_4265 _let_4264 _let_4263 _let_4262 _let_4261 _let_4260 _let_4259 _let_4258 _let_4257 _let_4256 _let_4255 _let_4254 _let_4253 _let_4252 _let_4251 _let_4250 _let_4249 _let_4248 _let_4247 _let_4246 _let_4245 _let_4244 _let_4243 _let_4242 _let_4241 _let_4240 _let_4239 _let_4238 _let_4237 _let_4236 _let_4235 _let_4234 _let_4233 _let_4232 _let_4231 _let_4230 _let_4229 _let_4228 _let_4227 _let_4226 _let_4225 _let_4224 _let_4223 _let_4222 _let_4221 _let_4220 _let_4219 _let_4218 _let_4217 _let_4216 _let_4215 _let_4214 _let_4213 _let_4212 _let_4211 _let_4210 _let_4209 _let_4208 _let_4207 _let_4206 _let_4205 _let_4204 _let_4203 _let_4202 _let_4201 _let_4200 _let_4199 _let_4198 _let_4197 _let_4196 _let_4195 _let_4194 _let_4193 _let_4192 _let_4191 _let_4190 _let_4189 _let_4188 _let_4187 _let_4186 _let_4185 _let_4184 _let_4183 _let_4182 _let_4181 _let_4180 _let_4179 _let_4178 _let_4177 _let_4176 _let_4175 _let_4174 _let_4173 _let_4172 _let_4171 _let_4170 _let_4169 _let_4168 _let_4167 _let_4166 _let_4165 _let_4164 _let_4163 _let_4162 _let_4161 _let_4160 _let_4159 _let_4158 _let_4157 _let_4156 _let_4155 _let_4154 _let_4153 _let_4152 _let_4151 _let_4150 _let_4149 _let_4148 _let_4147 _let_4146 _let_4145 _let_4144 _let_4143 _let_4142 _let_4141 _let_4140 _let_4139 _let_4138 _let_4137 _let_4136 _let_4135 _let_4134 _let_4133 _let_4132 _let_4131 _let_4130 _let_4129 _let_4128 _let_4127 _let_4126 _let_4125 _let_4124 _let_4123 _let_4122 _let_4121 _let_4120 _let_4119 _let_4118 _let_4117 _let_4116 _let_4115 _let_4114 _let_4113 _let_4112 _let_4111 _let_4110 _let_4109 _let_4108 _let_4107 _let_4106 _let_4105 _let_4104 _let_4103 _let_4102 _let_4101 _let_4100 _let_4099 _let_4098 _let_4097 _let_4096 _let_4095 _let_4094 _let_4093 _let_4092 _let_4091 _let_4090 _let_4089 _let_4088 _let_4087 _let_4086 _let_4085 _let_4084 _let_4083 _let_4082 _let_4081 _let_4080 _let_4079 _let_4078 _let_4077 _let_4076 _let_4075 _let_4074 _let_4073 _let_4072 _let_4071 _let_4070 _let_4069 _let_4068 _let_4067 _let_4066 _let_4065 _let_4064 _let_4063 _let_4062 _let_4061 _let_4060 _let_4059 _let_4058 _let_4057 _let_4056 _let_4055 _let_4054 _let_4053 _let_4052 _let_4051 _let_4050 _let_4049 _let_4048 _let_4047 _let_4046 _let_4045 _let_4044 _let_4043 _let_4042 _let_4041 _let_4040 _let_4039 _let_4038 _let_4037 _let_4036 _let_4035 _let_4034 _let_4033 _let_4032 _let_4031 _let_4030 _let_4029 _let_4028 _let_4027 _let_4026 _let_4025 _let_4024 _let_4023 _let_4022 _let_4021 _let_4020 _let_4019 _let_4018 _let_4017 _let_4016 _let_4015 _let_4014 _let_4013 _let_4012 _let_4011 _let_4010 _let_4009 _let_4008 _let_4007 _let_4006 _let_4005 _let_4004 _let_4003 _let_4002 _let_4001 _let_4000 _let_3999 _let_3998 _let_3997 _let_3996 _let_3995 _let_3994 _let_3993 _let_3992 _let_3991 _let_3990 _let_3989 _let_3988 _let_3987 _let_3986 _let_3985 _let_3984 _let_3983 _let_3982 _let_3981 _let_3980 _let_3979 _let_3978 _let_3977 _let_3976 _let_3975 _let_3974 _let_3973 _let_3972 _let_3971 _let_3970 _let_3969 _let_3968 _let_3967 _let_3966 _let_3965 _let_3964 _let_3963 _let_3962 _let_3961 _let_3960 _let_3959 _let_3958 _let_3957 _let_3956 _let_3955 _let_3954 _let_3953 _let_3952 _let_3951 _let_3950 _let_3949 _let_3948 _let_3947 _let_3946 _let_3945 _let_3944 _let_3943 _let_3942 _let_3941 _let_3940 _let_3939 _let_3938 _let_3937 _let_3936 _let_3935 _let_3934 _let_3933 _let_3932 _let_3931 _let_3930 _let_3929 _let_3928 _let_3927 _let_3926 _let_3925 _let_3924 _let_3923 _let_3922 _let_3921 _let_3920 _let_3919 _let_3918 _let_3917 _let_3916 _let_3915 _let_3914 _let_3913 _let_3912 _let_3911 _let_3910 _let_3909 _let_3908 _let_3907 _let_3906 _let_3905 _let_3904 _let_3903 _let_3902 _let_3901 _let_3900 _let_3899 _let_3898 _let_3897 _let_3896 _let_3895 _let_3894 _let_3893 _let_3892 _let_3891 _let_3890 _let_3889 _let_3888 _let_3887 _let_3886 _let_3885 _let_3884 _let_3883 _let_3882 _let_3881 _let_3880 _let_3879 _let_3878 _let_3877 _let_3876 _let_3875 _let_3874 _let_3873 _let_3872 _let_3871 _let_3870 _let_3869 _let_3868 _let_3867 _let_3866 _let_3865 _let_3864 _let_3863 _let_3862 _let_3861 _let_3860 _let_3859 _let_3858 _let_3857 _let_3856 _let_3855 _let_3854 _let_3853 _let_3852 _let_3851 _let_3850 _let_3849 _let_3848 _let_3847 _let_3846 _let_3845 _let_3844 _let_3843 _let_3842 _let_3841 _let_3840 _let_3839 _let_3838 _let_3837 _let_3836 _let_3835 _let_3834 _let_3833 _let_3832 _let_3831 _let_3830 _let_3829 _let_3828 _let_3827 _let_3826 _let_3825 _let_3824 _let_3823 _let_3822 _let_3821 _let_3820 _let_3819 _let_3818 _let_3817 _let_3816 _let_3815 _let_3814 _let_3813 _let_3812 _let_3811 _let_3810 _let_3809 _let_3808 _let_3807 _let_3806 _let_3805 _let_3804 _let_3803 _let_3802 _let_3801 _let_3800 _let_3799 _let_3798 _let_3797 _let_3796 _let_3795 _let_3794 _let_3793 _let_3792 _let_3791 _let_3790 _let_3789 _let_3788 _let_3787 _let_3786 _let_3785 _let_3784 _let_3783 _let_3782 _let_3781 _let_3780 _let_3779 _let_3778 _let_3777 _let_3776 _let_3775 _let_3774 _let_3773 _let_3772 _let_3771 _let_3770 _let_3769 _let_3768 _let_3767 _let_3766 _let_3765 _let_3764 _let_3763 _let_3762 _let_3761 _let_3760 _let_3759 _let_3758 _let_3757 _let_3756 _let_3755 _let_3754 _let_3753 _let_3752 _let_3751 _let_3750 _let_3749 _let_3748 _let_3747 _let_3746 _let_3745 _let_3744 _let_3743 _let_3742 _let_3741 _let_3740 _let_3739 _let_3738 _let_3737 _let_3736 _let_3735 _let_3734 _let_3733 _let_3732 _let_3731 _let_3730 _let_3729 _let_3728 _let_3727 _let_3726 _let_3725 _let_3724 _let_3723 _let_3722 _let_3721 _let_3720 _let_3719 _let_3718 _let_3717 _let_3716 _let_3715 _let_3714 _let_3713 _let_3712 _let_3711 _let_3710 _let_3709 _let_3708 _let_3707 _let_3706 _let_3705 _let_3704 _let_3703 _let_3702 _let_3701 _let_3700 _let_3699 _let_3698 _let_3697 _let_3696 _let_3695 _let_3694 _let_3693 _let_3692 _let_3691 _let_3690 _let_3689 _let_3688 _let_3687 _let_3686 _let_3685 _let_3684 _let_3683 _let_3682 _let_3681 _let_3680 _let_3679 _let_3678 _let_3677 _let_3676 _let_3675 _let_3674 _let_3673 _let_3672 _let_3671 _let_3670 _let_3669 _let_3668 _let_3667 _let_3666 _let_3665 _let_3664 _let_3663 _let_3662 _let_3661 _let_3660 _let_3659 _let_3658 _let_3657 _let_3656 _let_3655 _let_3654 _let_3653 _let_3652 _let_3651 _let_3650 _let_3649 _let_3648 _let_3647 _let_3646 _let_3645 _let_3644 _let_3643 _let_3642 _let_3641 _let_3640 _let_3639 _let_3638 _let_3637 _let_3636 _let_3635 _let_3634 _let_3633 _let_3632 _let_3631 _let_3630 _let_3629 _let_3628 _let_3627 _let_3626 _let_3625 _let_3624 _let_3623 _let_3622 _let_3621 _let_3620 _let_3619 _let_3618 _let_3617 _let_3616 _let_3615 _let_3614 _let_3613 _let_3612 _let_3611 _let_3610 _let_3609 _let_3608 _let_3607 _let_3606 _let_3605 _let_3604 _let_3603 _let_3602 _let_3601 _let_3600 _let_3599 _let_3598 _let_3597 _let_3596 _let_3595 _let_3594 _let_3593 _let_3592 _let_3591 _let_3590 _let_3589 _let_3588 _let_3587 _let_3586 _let_3585 _let_3584 _let_3583 _let_3582 _let_3581 _let_3580 _let_3579 _let_3578 _let_3577 _let_3576 _let_3575 _let_3574 _let_3573 _let_3572 _let_3571 _let_3570 _let_3569 _let_3568 _let_3567 _let_3566 _let_3565 _let_3564 _let_3563 _let_3562 _let_3561 _let_3560 _let_3559 _let_3558 _let_3557 _let_3556 _let_3555 _let_3554 _let_3553 _let_3552 _let_3551 _let_3550 _let_3549 _let_3548 _let_3547 _let_3546 _let_3545 _let_3544 _let_3543 _let_3542 _let_3541 _let_3540 _let_3539 _let_3538 _let_3537 _let_3536 _let_3535 _let_3534 _let_3533 _let_3532 _let_3531 _let_3530 _let_3529 _let_3528 _let_3527 _let_3526 _let_3525 _let_3524 _let_3523 _let_3522 _let_3521 _let_3520 _let_3519 _let_3518 _let_3517 _let_3516 _let_3515 _let_3514 _let_3513 _let_3512 _let_3511 _let_3510 _let_3509 _let_3508 _let_3507 _let_3506 _let_3505 _let_3504 _let_3503 _let_3502 _let_3501 _let_3500 _let_3499 _let_3498 _let_3497 _let_3496 _let_3495 _let_3494 _let_3493 _let_3492 _let_3491 _let_3490 _let_3489 _let_3488 _let_3487 _let_3486 _let_3485 _let_3484 _let_3483 _let_3482 _let_3481 _let_3480 _let_3479 _let_3478 _let_3477 _let_3476 _let_3475 _let_3474 _let_3473 _let_3472 _let_3471 _let_3470 _let_3469 _let_3468 _let_3467 _let_3466 _let_3465 _let_3464 _let_3463 _let_3462 _let_3461 _let_3460 _let_3459 _let_3458 _let_3457 _let_3456 _let_3455 _let_3454 _let_3453 _let_3452 _let_3451 _let_3450 _let_3449 _let_3448 _let_3447 _let_3446 _let_3445 _let_3444 _let_3443 _let_3442 _let_3441 _let_3440 _let_3439 _let_3438 _let_3437 _let_3436 _let_3435 _let_3434 _let_3433 _let_3432 _let_3431 _let_3430 _let_3429 _let_3428 _let_3427 _let_3426 _let_3425 _let_3424 _let_3423 _let_3422 _let_3421 _let_3420 _let_3419 _let_3418 _let_3417 _let_3416 _let_3415 _let_3414 _let_3413 _let_3412 _let_3411 _let_3410 _let_3409 _let_3408 _let_3407 _let_3406 _let_3405 _let_3404 _let_3403 _let_3402 _let_3401 _let_3400 _let_3399 _let_3398 _let_3397 _let_3396 _let_3395 _let_3394 _let_3393 _let_3392 _let_3391 _let_3390 _let_3389 _let_3388 _let_3387 _let_3386 _let_3385 _let_3384 _let_3383 _let_3382 _let_3381 _let_3380 _let_3379 _let_3378 _let_3377 _let_3376 _let_3375 _let_3374 _let_3373 _let_3372 _let_3371 _let_3370 _let_3369 _let_3368 _let_3367 _let_3366 _let_3365 _let_3364 _let_3363 _let_3362 _let_3361 _let_3360 _let_3359 _let_3358 _let_3357 _let_3356 _let_3355 _let_3354 _let_3353 _let_3352 _let_3351 _let_3350 _let_3349 _let_3348 _let_3347 _let_3346 _let_3345 _let_3344 _let_3343 _let_3342 _let_3341 _let_3340 _let_3339 _let_3338 _let_3337 _let_3336 _let_3335 _let_3334 _let_3333 _let_3332 _let_3331 _let_3330 _let_3329 _let_3328 _let_3327 _let_3326 _let_3325 _let_3324 _let_3323 _let_3322 _let_3321 _let_3320 _let_3319 _let_3318 _let_3317 _let_3316 _let_3315 _let_3314 _let_3313 _let_3312 _let_3311 _let_3310 _let_3309 _let_3308 _let_3307 _let_3306 _let_3305 _let_3304 _let_3303 _let_3302 _let_3301 _let_3300 _let_3299 _let_3298 _let_3297 _let_3296 _let_3295 _let_3294 _let_3293 _let_3292 _let_3291 _let_3290 _let_3289 _let_3288 _let_3287 _let_3286 _let_3285 _let_3284 _let_3283 _let_3282 _let_3281 _let_3280 _let_3279 _let_3278 _let_3277 _let_3276 _let_3275 _let_3274 _let_3273 _let_3272 _let_3271 _let_3270 _let_3269 _let_3268 _let_3267 _let_3266 _let_3265 _let_3264 _let_3263 _let_3262 _let_3261 _let_3260 _let_3259 _let_3258 _let_3257 _let_3256 _let_3255 _let_3254 _let_3253 _let_3252 _let_3251 _let_3250 _let_3249 _let_3248 _let_3247 _let_3246 _let_3245 _let_3244 _let_3243 _let_3242 _let_3241 _let_3240 _let_3239 _let_3238 _let_3237 _let_3236 _let_3235 _let_3234 _let_3233 _let_3232 _let_3231 _let_3230 _let_3229 _let_3228 _let_3227 _let_3226 _let_3225 _let_3224 _let_3223 _let_3222 _let_3221 _let_3220 _let_3219 _let_3218 _let_3217 _let_3216 _let_3215 _let_3214 _let_3213 _let_3212 _let_3211 _let_3210 _let_3209 _let_3208 _let_3207 _let_3206 _let_3205 _let_3204 _let_3203 _let_3202 _let_3201 _let_3200 _let_3199 _let_3198 _let_3197 _let_3196 _let_3195 _let_3194 _let_3193 _let_3192 _let_3191 _let_3190 _let_3189 _let_3188 _let_3187 _let_3186 _let_3185 _let_3184 _let_3183 _let_3182 _let_3181 _let_3180 _let_3179 _let_3178 _let_3177 _let_3176 _let_3175 _let_3174 _let_3173 _let_3172 _let_3171 _let_3170 _let_3169 _let_3168 _let_3167 _let_3166 _let_3165 _let_3164 _let_3163 _let_3162 _let_3161 _let_3160 _let_3159 _let_3158 _let_3157 _let_3156 _let_3155 _let_3154 _let_3153 _let_3152 _let_3151 _let_3150 _let_3149 _let_3148 _let_3147 _let_3146 _let_3145 _let_3144 _let_3143 _let_3142 _let_3141 _let_3140 _let_3139 _let_3138 _let_3137 _let_3136 _let_3135 _let_3134 _let_3133 _let_3132 _let_3131 _let_3130 _let_3129 _let_3128 _let_3127 _let_3126 _let_3125 _let_3124 _let_3123 _let_3122 _let_3121 _let_3120 _let_3119 _let_3118 _let_3117 _let_3116 _let_3115 _let_3114 _let_3113 _let_3112 _let_3111 _let_3110 _let_3109 _let_3108 _let_3107 _let_3106 _let_3105 _let_3104 _let_3103 _let_3102 _let_3101 _let_3100 _let_3099 _let_3098 _let_3097 _let_3096 _let_3095 _let_3094 _let_3093 _let_3092 _let_3091 _let_3090 _let_3089 _let_3088 _let_3087 _let_3086 _let_3085 _let_3084 _let_3083 _let_3082 _let_3081 _let_3080 _let_3079 _let_3078 _let_3077 _let_3076 _let_3075 _let_3074 _let_3073 _let_3072 _let_3071 _let_3070 _let_3069 _let_3068 _let_3067 _let_3066 _let_3065 _let_3064 _let_3063 _let_3062 _let_3061 _let_3060 _let_3059 _let_3058 _let_3057 _let_3056 _let_3055 _let_3054 _let_3053 _let_3052 _let_3051 _let_3050 _let_3049 _let_3048 _let_3047 _let_3046 _let_3045 _let_3044 _let_3043 _let_3042 _let_3041 _let_3040 _let_3039 _let_3038 _let_3037 _let_3036 _let_3035 _let_3034 _let_3033 _let_3032 _let_3031 _let_3030 _let_3029 _let_3028 _let_3027 _let_3026 _let_3025 _let_3024 _let_3023 _let_3022 _let_3021 _let_3020 _let_3019 _let_3018 _let_3017 _let_3016 _let_3015 _let_3014 _let_3013 _let_3012 _let_3011 _let_3010 _let_3009 _let_3008 _let_3007 _let_3006 _let_3005 _let_3004 _let_3003 _let_3002 _let_3001 _let_3000 _let_2999 _let_2998 _let_2997 _let_2996 _let_2995 _let_2994 _let_2993 _let_2992 _let_2991 _let_2990 _let_2989 _let_2988 _let_2987 _let_2986 _let_2985 _let_2984 _let_2983 _let_2982 _let_2981 _let_2980 _let_2979 _let_2978 _let_2977 _let_2976 _let_2975 _let_2974 _let_2973 _let_2972 _let_2971 _let_2970 _let_2969 _let_2968 _let_2967 _let_2966 _let_2965 _let_2964 _let_2963 _let_2962 _let_2961 _let_2960 _let_2959 _let_2958 _let_2957 _let_2956 _let_2955 _let_2954 _let_2953 _let_2952 _let_2951 _let_2950 _let_2949 _let_2948 _let_2947 _let_2946 _let_2945 _let_2944 _let_2943 _let_2942 _let_2941 _let_2940 _let_2939 _let_2938 _let_2937 _let_2936 _let_2935 _let_2934 _let_2933 _let_2932 _let_2931 _let_2930 _let_2929 _let_2928 _let_2927 _let_2926 _let_2925 _let_2924 _let_2923 _let_2922 _let_2921 _let_2920 _let_2919 _let_2918 _let_2917 _let_2916 _let_2915 _let_2914 _let_2913 _let_2912 _let_2911 _let_2910 _let_2909 _let_2908 _let_2907 _let_2906 _let_2905 _let_2904 _let_2903 _let_2902 _let_2901 _let_2900 _let_2899 _let_2898 _let_2897 _let_2896 _let_2895 _let_2894 _let_2893 _let_2892 _let_2891 _let_2890 _let_2889 _let_2888 _let_2887 _let_2886 _let_2885 _let_2884 _let_2883 _let_2882 _let_2881 _let_2880 _let_2879 _let_2878 _let_2877 _let_2876 _let_2875 _let_2874 _let_2873 _let_2872 _let_2871 _let_2870 _let_2869 _let_2868 _let_2867 _let_2866 _let_2865 _let_2864 _let_2863 _let_2862 _let_2861 _let_2860 _let_2859 _let_2858 _let_2857 _let_2856 _let_2855 _let_2854 _let_2853 _let_2852 _let_2851 _let_2850 _let_2849 _let_2848 _let_2847 _let_2846 _let_2845 _let_2844 _let_2843 _let_2842 _let_2841 _let_2840 _let_2839 _let_2838 _let_2837 _let_2836 _let_2835 _let_2834 _let_2833 _let_2832 _let_2831 _let_2830 _let_2829 _let_2828 _let_2827 _let_2826 _let_2825 _let_2824 _let_2823 _let_2822 _let_2821 _let_2820 _let_2819 _let_2818 _let_2817 _let_2816 _let_2815 _let_2814 _let_2813 _let_2812 _let_2811 _let_2810 _let_2809 _let_2808 _let_2807 _let_2806 _let_2805 _let_2804 _let_2803 _let_2802 _let_2801 _let_2800 _let_2799 _let_2798 _let_2797 _let_2796 _let_2795 _let_2794 _let_2793 _let_2792 _let_2791 _let_2790 _let_2789 _let_2788 _let_2787 _let_2786 _let_2785 _let_2784 _let_2783 _let_2782 _let_2781 _let_2780 _let_2779 _let_2778 _let_2777 _let_2776 _let_2775 _let_2774 _let_2773 _let_2772 _let_2771 _let_2770 _let_2769 _let_2768 _let_2767 _let_2766 _let_2765 _let_2764 _let_2763 _let_2762 _let_2761 _let_2760 _let_2759 _let_2758 _let_2757 _let_2756 _let_2755 _let_2754 _let_2753 _let_2752 _let_2751 _let_2750 _let_2749 _let_2748 _let_2747 _let_2746 _let_2745 _let_2744 _let_2743 _let_2742 _let_2741 _let_2740 _let_2739 _let_2738 _let_2737 _let_2736 _let_2735 _let_2734 _let_2733 _let_2732 _let_2731 _let_2730 _let_2729 _let_2728 _let_2727 _let_2726 _let_2725 _let_2724 _let_2723 _let_2722 _let_2721 _let_2720 _let_2719 _let_2718 _let_2717 _let_2716 _let_2715 _let_2714 _let_2713 _let_2712 _let_2711 _let_2710 _let_2709 _let_2708 _let_2707 _let_2706 _let_2705 _let_2704 _let_2703 _let_2702 _let_2701 _let_2700 _let_2699 _let_2698 _let_2697 _let_2696 _let_2695 _let_2694 _let_2693 _let_2692 _let_2691 _let_2690 _let_2689 _let_2688 _let_2687 _let_2686 _let_2685 _let_2684 _let_2683 _let_2682 _let_2681 _let_2680 _let_2679 _let_2678 _let_2677 _let_2676 _let_2675 _let_2674 _let_2673 _let_2672 _let_2671 _let_2670 _let_2669 _let_2668 _let_2667 _let_2666 _let_2665 _let_2664 _let_2663 _let_2662 _let_2661 _let_2660 _let_2659 _let_2658 _let_2657 _let_2656 _let_2655 _let_2654 _let_2653 _let_2652 _let_2651 _let_2650 _let_2649 _let_2648 _let_2647 _let_2646 _let_2645 _let_2644 _let_2643 _let_2642 _let_2641 _let_2640 _let_2639 _let_2638 _let_2637 _let_2636 _let_2635 _let_2634 _let_2633 _let_2632 _let_2631 _let_2630 _let_2629 _let_2628 _let_2627 _let_2626 _let_2625 _let_2624 _let_2623 _let_2622 _let_2621 _let_2620 _let_2619 _let_2618 _let_2617 _let_2616 _let_2615 _let_2614 _let_2613 _let_2612 _let_2611 _let_2610 _let_2609 _let_2608 _let_2607 _let_2606 _let_2605 _let_2604 _let_2603 _let_2602 _let_2601 _let_2600 _let_2599 _let_2598 _let_2597 _let_2596 _let_2595 _let_2594 _let_2593 _let_2592 _let_2591 _let_2590 _let_2589 _let_2588 _let_2587 _let_2586 _let_2585 _let_2584 _let_2583 _let_2582 _let_2581 _let_2580 _let_2579 _let_2578 _let_2577 _let_2576 _let_2575 _let_2574 _let_2573 _let_2572 _let_2571 _let_2570 _let_2569 _let_2568 _let_2567 _let_2566 _let_2565 _let_2564 _let_2563 _let_2562 _let_2561 _let_2560 _let_2559 _let_2558 _let_2557 _let_2556 _let_2555 _let_2554 _let_2553 _let_2552 _let_2551 _let_2550 _let_2549 _let_2548 _let_2547 _let_2546 _let_2545 _let_2544 _let_2543 _let_2542 _let_2541 _let_2540 _let_2539 _let_2538 _let_2537 _let_2536 _let_2535 _let_2534 _let_2533 _let_2532 _let_2531 _let_2530 _let_2529 _let_2528 _let_2527 _let_2526 _let_2525 _let_2524 _let_2523 _let_2522 _let_2521 _let_2520 _let_2519 _let_2518 _let_2517 _let_2516 _let_2515 _let_2514 _let_2513 _let_2512 _let_2511 _let_2510 _let_2509 _let_2508 _let_2507 _let_2506 _let_2505 _let_2504 _let_2503 _let_2502 _let_2501 _let_2500 _let_2499 _let_2498 _let_2497 _let_2496 _let_2495 _let_2494 _let_2493 _let_2492 _let_2491 _let_2490 _let_2489 _let_2488 _let_2487 _let_2486 _let_2485 _let_2484 _let_2483 _let_2482 _let_2481 _let_2480 _let_2479 _let_2478 _let_2477 _let_2476 _let_2475 _let_2474 _let_2473 _let_2472 _let_2471 _let_2470 _let_2469 _let_2468 _let_2467 _let_2466 _let_2465 _let_2464 _let_2463 _let_2462 _let_2461 _let_2460 _let_2459 _let_2458 _let_2457 _let_2456 _let_2455 _let_2454 _let_2453 _let_2452 _let_2451 _let_2450 _let_2449 _let_2448 _let_2447 _let_2446 _let_2445 _let_2444 _let_2443 _let_2442 _let_2441 _let_2440 _let_2439 _let_2438 _let_2437 _let_2436 _let_2435 _let_2434 _let_2433 _let_2432 _let_2431 _let_2430 _let_2429 _let_2428 _let_2427 _let_2426 _let_2425 _let_2424 _let_2423 _let_2422 _let_2421 _let_2420 _let_2419 _let_2418 _let_2417 _let_2416 _let_2415 _let_2414 _let_2413 _let_2412 _let_2411 _let_2410 _let_2409 _let_2408 _let_2407 _let_2406 _let_2405 _let_2404 _let_2403 _let_2402 _let_2401 _let_2400 _let_2399 _let_2398 _let_2397 _let_2396 _let_2395 _let_2394 _let_2393 _let_2392 _let_2391 _let_2390 _let_2389 _let_2388 _let_2387 _let_2386 _let_2385 _let_2384 _let_2383 _let_2382 _let_2381 _let_2380 _let_2379 _let_2378 _let_2377 _let_2376 _let_2375 _let_2374 _let_2373 _let_2372 _let_2371 _let_2370 _let_2369 _let_2368 _let_2367 _let_2366 _let_2365 _let_2364 _let_2363 _let_2362 _let_2361 _let_2360 _let_2359 _let_2358 _let_2357 _let_2356 _let_2355 _let_2354 _let_2353 _let_2352 _let_2351 _let_2350 _let_2349 _let_2348 _let_2347 _let_2346 _let_2345 _let_2344 _let_2343 _let_2342 _let_2341 _let_2340 _let_2339 _let_2338 _let_2337 _let_2336 _let_2335 _let_2334 _let_2333 _let_2332 _let_2331 _let_2330 _let_2329 _let_2328 _let_2327 _let_2326 _let_2325 _let_2324 _let_2323 _let_2322 _let_2321 _let_2320 _let_2319 _let_2318 _let_2317 _let_2316 _let_2315 _let_2314 _let_2313 _let_2312 _let_2311 _let_2310 _let_2309 _let_2308 _let_2307 _let_2306 _let_2305 _let_2304 _let_2303 _let_2302 _let_2301 _let_2300 _let_2299 _let_2298 _let_2297 _let_2296 _let_2295 _let_2294 _let_2293 _let_2292 _let_2291 _let_2290 _let_2289 _let_2288 _let_2287 _let_2286 _let_2285 _let_2284 _let_2283 _let_2282 _let_2281 _let_2280 _let_2279 _let_2278 _let_2277 _let_2276 _let_2275 _let_2274 _let_2273 _let_2272 _let_2271 _let_2270 _let_2269 _let_2268 _let_2267 _let_2266 _let_2265 _let_2264 _let_2263 _let_2262 _let_2261 _let_2260 _let_2259 _let_2258 _let_2257 _let_2256 _let_2255 _let_2254 _let_2253 _let_2252 _let_2251 _let_2250 _let_2249 _let_2248 _let_2247 _let_2246 _let_2245 _let_2244 _let_2243 _let_2242 _let_2241 _let_2240 _let_2239 _let_2238 _let_2237 _let_2236 _let_2235 _let_2234 _let_2233 _let_2232 _let_2231 _let_2230 _let_2229 _let_2228 _let_2227 _let_2226 _let_2225 _let_2224 _let_2223 _let_2222 _let_2221 _let_2220 _let_2219 _let_2218 _let_2217 _let_2216 _let_2215 _let_2214 _let_2213 _let_2212 _let_2211 _let_2210 _let_2209 _let_2208 _let_2207 _let_2206 _let_2205 _let_2204 _let_2203 _let_2202 _let_2201 _let_2200 _let_2199 _let_2198 _let_2197 _let_2196 _let_2195 _let_2194 _let_2193 _let_2192 _let_2191 _let_2190 _let_2189 _let_2188 _let_2187 _let_2186 _let_2185 _let_2184 _let_2183 _let_2182 _let_2181 _let_2180 _let_2179 _let_2178 _let_2177 _let_2176 _let_2175 _let_2174 _let_2173 _let_2172 _let_2171 _let_2170 _let_2169 _let_2168 _let_2167 _let_2166 _let_2165 _let_2164 _let_2163 _let_2162 _let_2161 _let_2160 _let_2159 _let_2158 _let_2157 _let_2156 _let_2155 _let_2154 _let_2153 _let_2152 _let_2151 _let_2150 _let_2149 _let_2148 _let_2147 _let_2146 _let_2145 _let_2144 _let_2143 _let_2142 _let_2141 _let_2140 _let_2139 _let_2138 _let_2137 _let_2136 _let_2135 _let_2134 _let_2133 _let_2132 _let_2131 _let_2130 _let_2129 _let_2128 _let_2127 _let_2126 _let_2125 _let_2124 _let_2123 _let_2122 _let_2121 _let_2120 _let_2119 _let_2118 _let_2117 _let_2116 _let_2115 _let_2114 _let_2113 _let_2112 _let_2111 _let_2110 _let_2109 _let_2108 _let_2107 _let_2106 _let_2105 _let_2104 _let_2103 _let_2102 _let_2101 _let_2100 _let_2099 _let_2098 _let_2097 _let_2096 _let_2095 _let_2094 _let_2093 _let_2092 _let_2091 _let_2090 _let_2089 _let_2088 _let_2087 _let_2086 _let_2085 _let_2084 _let_2083 _let_2082 _let_2081 _let_2080 _let_2079 _let_2078 _let_2077 _let_2076 _let_2075 _let_2074 _let_2073 _let_2072 _let_2071 _let_2070 _let_2069 _let_2068 _let_2067 _let_2066 _let_2065 _let_2064 _let_2063 _let_2062 _let_2061 _let_2060 _let_2059 _let_2058 _let_2057 _let_2056 _let_2055 _let_2054 _let_2053 _let_2052 _let_2051 _let_2050 _let_2049 _let_2048 _let_2047 _let_2046 _let_2045 _let_2044 _let_2043 _let_2042 _let_2041 _let_2040 _let_2039 _let_2038 _let_2037 _let_2036 _let_2035 _let_2034 _let_2033 _let_2032 _let_2031 _let_2030 _let_2029 _let_2028 _let_2027 _let_2026 _let_2025 _let_2024 _let_2023 _let_2022 _let_2021 _let_2020 _let_2019 _let_2018 _let_2017 _let_2016 _let_2015 _let_2014 _let_2013 _let_2012 _let_2011 _let_2010 _let_2009 _let_2008 _let_2007 _let_2006 _let_2005 _let_2004 _let_2003 _let_2002 _let_2001 _let_2000 _let_1999 _let_1998 _let_1997 _let_1996 _let_1995 _let_1994 _let_1993 _let_1992 _let_1991 _let_1990 _let_1989 _let_1988 _let_1987 _let_1986 _let_1985 _let_1984 _let_1983 _let_1982 _let_1981 _let_1980 _let_1979 _let_1978 _let_1977 _let_1976 _let_1975 _let_1974 _let_1973 _let_1972 _let_1971 _let_1970 _let_1969 _let_1968 _let_1967 _let_1966 _let_1965 _let_1964 _let_1963 _let_1962 _let_1961 _let_1960 _let_1959 _let_1958 _let_1957 _let_1956 _let_1955 _let_1954 _let_1953 _let_1952 _let_1951 _let_1950 _let_1949 _let_1948 _let_1947 _let_1946 _let_1945 _let_1944 _let_1943 _let_1942 _let_1941 _let_1940 _let_1939 _let_1938 _let_1937 _let_1936 _let_1935 _let_1934 _let_1933 _let_1932 _let_1931 _let_1930 _let_1929 _let_1928 _let_1927 _let_1926 _let_1925 _let_1924 _let_1923 _let_1922 _let_1921 _let_1920 _let_1919 _let_1918 _let_1917 _let_1916 _let_1915 _let_1914 _let_1913 _let_1912 _let_1911 _let_1910 _let_1909 _let_1908 _let_1907 _let_1906 _let_1905 _let_1904 _let_1903 _let_1902 _let_1901 _let_1900 _let_1899 _let_1898 _let_1897 _let_1896 _let_1895 _let_1894 _let_1893 _let_1892 _let_1891 _let_1890 _let_1889 _let_1888 _let_1887 _let_1886 _let_1885 _let_1884 _let_1883 _let_1882 _let_1881 _let_1880 _let_1879 _let_1878 _let_1877 _let_1876 _let_1875 _let_1874 _let_1873 _let_1872 _let_1871 _let_1870 _let_1869 _let_1868 _let_1867 _let_1866 _let_1865 _let_1864 _let_1863 _let_1862 _let_1861 _let_1860 _let_1859 _let_1858 _let_1857 _let_1856 _let_1855 _let_1854 _let_1853 _let_1852 _let_1851 _let_1850 _let_1849 _let_1848 _let_1847 _let_1846 _let_1845 _let_1844 _let_1843 _let_1842 _let_1841 _let_1840 _let_1839 _let_1838 _let_1837 _let_1836 _let_1835 _let_1834 _let_1833 _let_1832 _let_1831 _let_1830 _let_1829 _let_1828 _let_1827 _let_1826 _let_1825 _let_1824 _let_1823 _let_1822 _let_1821 _let_1820 _let_1819 _let_1818 _let_1817 _let_1816 _let_1815 _let_1814 _let_1813 _let_1812 _let_1811 _let_1810 _let_1809 _let_1808 _let_1807 _let_1806 _let_1805 _let_1804 _let_1803 _let_1802 _let_1801 _let_1800 _let_1799 _let_1798 _let_1797 _let_1796 _let_1795 _let_1794 _let_1793 _let_1792 _let_1791 _let_1790 _let_1789 _let_1788 _let_1787 _let_1786 _let_1785 _let_1784 _let_1783 _let_1782 _let_1781 _let_1780 _let_1779 _let_1778 _let_1777 _let_1776 _let_1775 _let_1774 _let_1773 _let_1772 _let_1771 _let_1770 _let_1769 _let_1768 _let_1767 _let_1766 _let_1765 _let_1764 _let_1763 _let_1762 _let_1761 _let_1760 _let_1759 _let_1758 _let_1757 _let_1756 _let_1755 _let_1754 _let_1753 _let_1752 _let_1751 _let_1750 _let_1749 _let_1748 _let_1747 _let_1746 _let_1745 _let_1744 _let_1743 _let_1742 _let_1741 _let_1740 _let_1739 _let_1738 _let_1737 _let_1736 _let_1735 _let_1734 _let_1733 _let_1732 _let_1731 _let_1730 _let_1729 _let_1728 _let_1727 _let_1726 _let_1725 _let_1724 _let_1723 _let_1722 _let_1721 _let_1720 _let_1719 _let_1718 _let_1717 _let_1716 _let_1715 _let_1714 _let_1713 _let_1712 _let_1711 _let_1710 _let_1709 _let_1708 _let_1707 _let_1706 _let_1705 _let_1704 _let_1703 _let_1702 _let_1701 _let_1700 _let_1699 _let_1698 _let_1697 _let_1696 _let_1695 _let_1694 _let_1693 _let_1692 _let_1691 _let_1690 _let_1689 _let_1688 _let_1687 _let_1686 _let_1685 _let_1684 _let_1683 _let_1682 _let_1681 _let_1680 _let_1679 _let_1678 _let_1677 _let_1676 _let_1675 _let_1674 _let_1673 _let_1672 _let_1671 _let_1670 _let_1669 _let_1668 _let_1667 _let_1666 _let_1665 _let_1664 _let_1663 _let_1662 _let_1661 _let_1660 _let_1659 _let_1658 _let_1657 _let_1656 _let_1655 _let_1654 _let_1653 _let_1652 _let_1651 _let_1650 _let_1649 _let_1648 _let_1647 _let_1646 _let_1645 _let_1644 _let_1643 _let_1642 _let_1641 _let_1640 _let_1639 _let_1638 _let_1637 _let_1636 _let_1635 _let_1634 _let_1633 _let_1632 _let_1631 _let_1630 _let_1629 _let_1628 _let_1627 _let_1626 _let_1625 _let_1624 _let_1623 _let_1622 _let_1621 _let_1620 _let_1619 _let_1618 _let_1617 _let_1616 _let_1615 _let_1614 _let_1613 _let_1612 _let_1611 _let_1610 _let_1609 _let_1608 _let_1607 _let_1606 _let_1605 _let_1604 _let_1603 _let_1602 _let_1601 _let_1600 _let_1599 _let_1598 _let_1597 _let_1596 _let_1595 _let_1594 _let_1593 _let_1592 _let_1591 _let_1590 _let_1589 _let_1588 _let_1587 _let_1586 _let_1585 _let_1584 _let_1583 _let_1582 _let_1581 _let_1580 _let_1579 _let_1578 _let_1577 _let_1576 _let_1575 _let_1574 _let_1573 _let_1572 _let_1571 _let_1570 _let_1569 _let_1568 _let_1567 _let_1566 _let_1565 _let_1564 _let_1563 _let_1562 _let_1561 _let_1560 _let_1559 _let_1558 _let_1557 _let_1556 _let_1555 _let_1554 _let_1553 _let_1552 _let_1551 _let_1550 _let_1549 _let_1548 _let_1547 _let_1546 _let_1545 _let_1544 _let_1543 _let_1542 _let_1541 _let_1540 _let_1539 _let_1538 _let_1537 _let_1536 _let_1535 _let_1534 _let_1533 _let_1532 _let_1531 _let_1530 _let_1529 _let_1528 _let_1527 _let_1526 _let_1525 _let_1524 _let_1523 _let_1522 _let_1521 _let_1520 _let_1519 _let_1518 _let_1517 _let_1516 _let_1515 _let_1514 _let_1513 _let_1512 _let_1511 _let_1510 _let_1509 _let_1508 _let_1507 _let_1506 _let_1505 _let_1504 _let_1503 _let_1502 _let_1501 _let_1500 _let_1499 _let_1498 _let_1497 _let_1496 _let_1495 _let_1494 _let_1493 _let_1492 _let_1491 _let_1490 _let_1489 _let_1488 _let_1487 _let_1486 _let_1485 _let_1484 _let_1483 _let_1482 _let_1481 _let_1480 _let_1479 _let_1478 _let_1477 _let_1476 _let_1475 _let_1474 _let_1473 _let_1472 _let_1471 _let_1470 _let_1469 _let_1468 _let_1467 _let_1466 _let_1465 _let_1464 _let_1463 _let_1462 _let_1461 _let_1460 _let_1459 _let_1458 _let_1457 _let_1456 _let_1455 _let_1454 _let_1453 _let_1452 _let_1451 _let_1450 _let_1449 _let_1448 _let_1447 _let_1446 _let_1445 _let_1444 _let_1443 _let_1442 _let_1441 _let_1440 _let_1439 _let_1438 _let_1437 _let_1436 _let_1435 _let_1434 _let_1433 _let_1432 _let_1431 _let_1430 _let_1429 _let_1428 _let_1427 _let_1426 _let_1425 _let_1424 _let_1423 _let_1422 _let_1421 _let_1420 _let_1419 _let_1418 _let_1417 _let_1416 _let_1415 _let_1414 _let_1413 _let_1412 _let_1411 _let_1410 _let_1409 _let_1408 _let_1407 _let_1406 _let_1405 _let_1404 _let_1403 _let_1402 _let_1401 _let_1400 _let_1399 _let_1398 _let_1397 _let_1396 _let_1395 _let_1394 _let_1393 _let_1392 _let_1391 _let_1390 _let_1389 _let_1388 _let_1387 _let_1386 _let_1385 _let_1384 _let_1383 _let_1382 _let_1381 _let_1380 _let_1379 _let_1378 _let_1377 _let_1376 _let_1375 _let_1374 _let_1373 _let_1372 _let_1371 _let_1370 _let_1369 _let_1368 _let_1367 _let_1366 _let_1365 _let_1364 _let_1363 _let_1362 _let_1361 _let_1360 _let_1359 _let_1358 _let_1357 _let_1356 _let_1355 _let_1354 _let_1353 _let_1352 _let_1351 _let_1350 _let_1349 _let_1348 _let_1347 _let_1346 _let_1345 _let_1344 _let_1343 _let_1342 _let_1341 _let_1340 _let_1339 _let_1338 _let_1337 _let_1336 _let_1335 _let_1334 _let_1333 _let_1332 _let_1331 _let_1330 _let_1329 _let_1328 _let_1327 _let_1326 _let_1325 _let_1324 _let_1323 _let_1322 _let_1321 _let_1320 _let_1319 _let_1318 _let_1317 _let_1316 _let_1315 _let_1314 _let_1313 _let_1312 _let_1311 _let_1310 _let_1309 _let_1308 _let_1307 _let_1306 _let_1305 _let_1304 _let_1303 _let_1302 _let_1301 _let_1300 _let_1299 _let_1298 _let_1297 _let_1296 _let_1295 _let_1294 _let_1293 _let_1292 _let_1291 _let_1290 _let_1289 _let_1288 _let_1287 _let_1286 _let_1285 _let_1284 _let_1283 _let_1282 _let_1281 _let_1280 _let_1279 _let_1278 _let_1277 _let_1276 _let_1275 _let_1274 _let_1273 _let_1272 _let_1271 _let_1270 _let_1269 _let_1268 _let_1267 _let_1266 _let_1265 _let_1264 _let_1263 _let_1262 _let_1261 _let_1260 _let_1259 _let_1258 _let_1257 _let_1256 _let_1255 _let_1254 _let_1253 _let_1252 _let_1251 _let_1250 _let_1249 _let_1248 _let_1247 _let_1246 _let_1245 _let_1244 _let_1243 _let_1242 _let_1241 _let_1240 _let_1239 _let_1238 _let_1237 _let_1236 _let_1235 _let_1234 _let_1233 _let_1232 _let_1231 _let_1230 _let_1229 _let_1228 _let_1227 _let_1226 _let_1225 _let_1224 _let_1223 _let_1222 _let_1221 _let_1220 _let_1219 _let_1218 _let_1217 _let_1216 _let_1215 _let_1214 _let_1213 _let_1212 _let_1211 _let_1210 _let_1209 _let_1208 _let_1207 _let_1206 _let_1205 _let_1204 _let_1203 _let_1202 _let_1201 _let_1200 _let_1199 _let_1198 _let_1197 _let_1196 _let_1195 _let_1194 _let_1193 _let_1192 _let_1191 _let_1190 _let_1189 _let_1188 _let_1187 _let_1186 _let_1185 _let_1184 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1177 _let_1176 _let_1175 _let_1174 _let_1173 _let_1172 _let_1171 _let_1170 _let_1169 _let_1168 _let_1167 _let_1166 _let_1165 _let_1164 _let_1163 _let_1162 _let_1161 _let_1160 _let_1159 _let_1158 _let_1157 _let_1156 _let_1155 _let_1154 _let_1153 _let_1152 _let_1151 _let_1150 _let_1149 _let_1148 _let_1147 _let_1146 _let_1145 _let_1144 _let_1143 _let_1142 _let_1141 _let_1140 _let_1139 _let_1138 _let_1137 _let_1136 _let_1135 _let_1134 _let_1133 _let_1132 _let_1131 _let_1130 _let_1129 _let_1128 _let_1127 _let_1126 _let_1125 _let_1124 _let_1123 _let_1122 _let_1121 _let_1120 _let_1119 _let_1118 _let_1117 _let_1116 _let_1115 _let_1114 _let_1113 _let_1112 _let_1111 _let_1110 _let_1109 _let_1108 _let_1107 _let_1106 _let_1105 _let_1104 _let_1103 _let_1102 _let_1101 _let_1100 _let_1099 _let_1098 _let_1097 _let_1096 _let_1095 _let_1094 _let_1093 _let_1092 _let_1091 _let_1090 _let_1089 _let_1088 _let_1087 _let_1086 _let_1085 _let_1084 _let_1083 _let_1082 _let_1081 _let_1080 _let_1079 _let_1078 _let_1077 _let_1076 _let_1075 _let_1074 _let_1073 _let_1072 _let_1071 _let_1070 _let_1069 _let_1068 _let_1067 _let_1066 _let_1065 _let_1064 _let_1063 _let_1062 _let_1061 _let_1060 _let_1059 _let_1058 _let_1057 _let_1056 _let_1055 _let_1054 _let_1053 _let_1052 _let_1051 _let_1050 _let_1049 _let_1048 _let_1047 _let_1046 _let_1045 _let_1044 _let_1043 _let_1042 _let_1041 _let_1040 _let_1039 _let_1038 _let_1037 _let_1036 _let_1035 _let_1034 _let_1033 _let_1032 _let_1031 _let_1030 _let_1029 _let_1028 _let_1027 _let_1026 _let_1025 _let_1024 _let_1023 _let_1022 _let_1021 _let_1020 _let_1019 _let_1018 _let_1017 _let_1016 _let_1015 _let_1014 _let_1013 _let_1012 _let_1011 _let_1010 _let_1009 _let_1008 _let_1007 _let_1006 _let_1005 _let_1004 _let_1003 _let_1002 _let_1001 _let_1000 _let_999 _let_998 _let_997 _let_996 _let_995 _let_994 _let_993 _let_992 _let_991 _let_990 _let_989 _let_988 _let_987 _let_986 _let_985 _let_984 _let_983 _let_982 _let_981 _let_980 _let_979 _let_978 _let_977 _let_976 _let_975 _let_974 _let_973 _let_972 _let_971 _let_970 _let_969 _let_968 _let_967 _let_966 _let_965 _let_964 _let_963 _let_962 _let_961 _let_960 _let_959 _let_958 _let_957 _let_956 _let_955 _let_954 _let_953 _let_952 _let_951 _let_950 _let_949 _let_948 _let_947 _let_946 _let_945 _let_944 _let_943 _let_942 _let_941 _let_940 _let_939 _let_938 _let_937 _let_936 _let_935 _let_934 _let_933 _let_932 _let_931 _let_930 _let_929 _let_928 _let_927 _let_926 _let_925 _let_924 _let_923 _let_922 _let_921 _let_920 _let_919 _let_918 _let_917 _let_916 _let_915 _let_914 _let_913 _let_912 _let_911 _let_910 _let_909 _let_908 _let_907 _let_906 _let_905 _let_904 _let_903 _let_902 _let_901 _let_900 _let_899 _let_898 _let_897 _let_896 _let_895 _let_894 _let_893 _let_892 _let_891 _let_890 _let_889 _let_888 _let_887 _let_886 _let_885 _let_884 _let_883 _let_882 _let_881 _let_880 _let_879 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _let_861 _let_860 _let_859 _let_858 _let_857 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_834 _let_833 _let_832 _let_831 _let_830 _let_829 _let_828 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_807 _let_806 _let_805 _let_804 _let_803 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_748 _let_747 _let_746 _let_745 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737 _let_736 _let_735 _let_734 _let_733 _let_732 _let_731 _let_730 _let_729 _let_728 _let_727 _let_726 _let_725 _let_724 _let_723 _let_722 _let_721 _let_720 _let_719 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711 _let_710 _let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_703 _let_702 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_695 _let_694 _let_693 _let_692 _let_691 _let_690 _let_689 _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_682 _let_681 _let_680 _let_679 _let_678 _let_677 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582)))) :args ((and _let_15480 _let_15479 _let_15478 _let_15477 _let_15476 _let_15475 _let_15474 _let_15473 _let_15472 _let_15471 _let_15470 _let_15469 _let_15468 _let_15467 _let_15466 _let_15465 _let_15464 _let_15463 _let_15462 _let_15461 _let_15460 _let_15459 _let_15458 _let_15457 _let_15456 _let_15455 _let_15454 _let_15453 _let_15452 _let_15451 _let_15450 _let_15449 _let_15448 _let_15447 _let_15446 _let_15445 _let_15444 _let_15443 _let_15442 _let_15441 _let_15440 _let_15439 _let_15438 _let_15437 _let_15436 _let_15435 _let_15434 _let_15433 _let_15432 _let_15431 _let_15430 _let_15429 _let_15428 _let_15427 _let_15426 _let_15425 _let_15424 _let_15423 _let_15422 _let_15421 _let_15420 _let_15419 _let_15418 _let_15417 _let_15416 _let_15415 _let_15414 _let_15413 _let_15412 _let_15411 _let_15410 _let_15409 _let_15408 _let_15407 _let_15406 _let_15405 _let_15404 _let_15403 _let_15402 _let_15401 _let_15400 _let_15399 _let_15398 _let_15397 _let_15396 _let_15395 _let_15394 _let_15393 _let_15392 _let_15391 _let_15390 _let_15389 _let_15388 _let_15387 _let_15386 _let_15385 _let_15384 _let_15383 _let_15382 _let_15381 _let_15380 _let_15379 _let_15378 _let_15377 _let_15376 _let_15375 _let_15374 _let_15373 _let_15372 _let_15371 _let_15370 _let_15369 _let_15368 _let_15367 _let_15366 _let_15365 _let_15364 _let_15363 _let_15362 _let_15361 _let_15360 _let_15359 _let_15358 _let_15357 _let_15356 _let_15355 _let_15354 _let_15353 _let_15352 _let_15351 _let_15350 _let_15349 _let_15348 _let_15347 _let_15346 _let_15345 _let_15344 _let_15343 _let_15342 _let_15341 _let_15340 _let_15339 _let_15338 _let_15337 _let_15336 _let_15335 _let_15334 _let_15333 _let_15332 _let_15331 _let_15330 _let_15329 _let_15328 _let_15327 _let_15326 _let_15325 _let_15324 _let_15323 _let_15322 _let_15321 _let_15320 _let_15319 _let_15318 _let_15317 _let_15316 _let_15315 _let_15314 _let_15313 _let_15312 _let_15311 _let_15310 _let_15309 _let_15308 _let_15307 _let_15306 _let_15305 _let_15304 _let_15303 _let_15302 _let_15301 _let_15300 _let_15299 _let_15298 _let_15297 _let_15296 _let_15295 _let_15294 _let_15293 _let_15292 _let_15291 _let_15290 _let_15289 _let_15288 _let_15287 _let_15286 _let_15285 _let_15284 _let_15283 _let_15282 _let_15281 _let_15280 _let_15279 _let_15278 _let_15277 _let_15276 _let_15275 _let_15274 _let_15273 _let_15272 _let_15271 _let_15270 _let_15269 _let_15268 _let_15267 _let_15266 _let_15265 _let_15264 _let_15263 _let_15262 _let_15261 _let_15260 _let_15259 _let_15258 _let_15257 _let_15256 _let_15255 _let_15254 _let_15253 _let_15252 _let_15251 _let_15250 _let_15249 _let_15248 _let_15247 _let_15246 _let_15245 _let_15244 _let_15243 _let_15242 _let_15241 _let_15240 _let_15239 _let_15238 _let_15237 _let_15236 _let_15235 _let_15234 _let_15233 _let_15232 _let_15231 _let_15230 _let_15229 _let_15228 _let_15227 _let_15226 _let_15225 _let_15224 _let_15223 _let_15222 _let_15221 _let_15220 _let_15219 _let_15218 _let_15217 _let_15216 _let_15215 _let_15214 _let_15213 _let_15212 _let_15211 _let_15210 _let_15209 _let_15208 _let_15207 _let_15206 _let_15205 _let_15204 _let_15203 _let_15202 _let_15201 _let_15200 _let_15199 _let_15198 _let_15197 _let_15196 _let_15195 _let_15194 _let_15193 _let_15192 _let_15191 _let_15190 _let_15189 _let_15188 _let_15187 _let_15186 _let_15185 _let_15184 _let_15183 _let_15182 _let_15181 _let_15180 _let_15179 _let_15178 _let_15177 _let_15176 _let_15175 _let_15174 _let_15173 _let_15172 _let_15171 _let_15170 _let_15169 _let_15168 _let_15167 _let_15166 _let_15165 _let_15164 _let_15163 _let_15162 _let_15161 _let_15160 _let_15159 _let_15158 _let_15157 _let_15156 _let_15155 _let_15154 _let_15153 _let_15152 _let_15151 _let_15150 _let_15149 _let_15148 _let_15147 _let_15146 _let_15145 _let_15144 _let_15143 _let_15142 _let_15141 _let_15140 _let_15139 _let_15138 _let_15137 _let_15136 _let_15135 _let_15134 _let_15133 _let_15132 _let_15131 _let_15130 _let_15129 _let_15128 _let_15127 _let_15126 _let_15125 _let_15124 _let_15123 _let_15122 _let_15121 _let_15120 _let_15119 _let_15118 _let_15117 _let_15116 _let_15115 _let_15114 _let_15113 _let_15112 _let_15111 _let_15110 _let_15109 _let_15108 _let_15107 _let_15106 _let_15105 _let_15104 _let_15103 _let_15102 _let_15101 _let_15100 _let_15099 _let_15098 _let_15097 _let_15096 _let_15095 _let_15094 _let_15093 _let_15092 _let_15091 _let_15090 _let_15089 _let_15088 _let_15087 _let_15086 _let_15085 _let_15084 _let_15083 _let_15082 _let_15081 _let_15080 _let_15079 _let_15078 _let_15077 _let_15076 _let_15075 _let_15074 _let_15073 _let_15072 _let_15071 _let_15070 _let_15069 _let_15068 _let_15067 _let_15066 _let_15065 _let_15064 _let_15063 _let_15062 _let_15061 _let_15060 _let_15059 _let_15058 _let_15057 _let_15056 _let_15055 _let_15054 _let_15053 _let_15052 _let_15051 _let_15050 _let_15049 _let_15048 _let_15047 _let_15046 _let_15045 _let_15044 _let_15043 _let_15042 _let_15041 _let_15040 _let_15039 _let_15038 _let_15037 _let_15036 _let_15035 _let_15034 _let_15033 _let_15032 _let_15031 _let_15030 _let_15029 _let_15028 _let_15027 _let_15026 _let_15025 _let_15024 _let_15023 _let_15022 _let_15021 _let_15020 _let_15019 _let_15018 _let_15017 _let_15016 _let_15015 _let_15014 _let_15013 _let_15012 _let_15011 _let_15010 _let_15009 _let_15008 _let_15007 _let_15006 _let_15005 _let_15004 _let_15003 _let_15002 _let_15001 _let_15000 _let_14999 _let_14998 _let_14997 _let_14996 _let_14995 _let_14994 _let_14993 _let_14992 _let_14991 _let_14990 _let_14989 _let_14988 _let_14987 _let_14986 _let_14985 _let_14984 _let_14983 _let_14982 _let_14981 _let_14980 _let_14979 _let_14978 _let_14977 _let_14976 _let_14975 _let_14974 _let_14973 _let_14972 _let_14971 _let_14970 _let_14969 _let_14968 _let_14967 _let_14966 _let_14965 _let_14964 _let_14963 _let_14962 _let_14961 _let_14960 _let_14959 _let_14958 _let_14957 _let_14956 _let_14955 _let_14954 _let_14953 _let_14952 _let_14951 _let_14950 _let_14949 _let_14948 _let_14947 _let_14946 _let_14945 _let_14944 _let_14943 _let_14942 _let_14941 _let_14940 _let_14939 _let_14938 _let_14937 _let_14936 _let_14935 _let_14934 _let_14933 _let_14932 _let_14931 _let_14930 _let_14929 _let_14928 _let_14927 _let_14926 _let_14925 _let_14924 _let_14923 _let_14922 _let_14921 _let_14920 _let_14919 _let_14918 _let_14917 _let_14916 _let_14915 _let_14914 _let_14913 _let_14912 _let_14911 _let_14910 _let_14909 _let_14908 _let_14907 _let_14906 _let_14905 _let_14904 _let_14903 _let_14902 _let_14901 _let_14900 _let_14899 _let_14898 _let_14897 _let_14896 _let_14895 _let_14894 _let_14893 _let_14892 _let_14891 _let_14890 _let_14889 _let_14888 _let_14887 _let_14886 _let_14885 _let_14884 _let_14883 _let_14882 _let_14881 _let_14880 _let_14879 _let_14878 _let_14877 _let_14876 _let_14875 _let_14874 _let_14873 _let_14872 _let_14871 _let_14870 _let_14869 _let_14868 _let_14867 _let_14866 _let_14865 _let_14864 _let_14863 _let_14862 _let_14861 _let_14860 _let_14859 _let_14858 _let_14857 _let_14856 _let_14855 _let_14854 _let_14853 _let_14852 _let_14851 _let_14850 _let_14849 _let_14848 _let_14847 _let_14846 _let_14845 _let_14844 _let_14843 _let_14842 _let_14841 _let_14840 _let_14839 _let_14838 _let_14837 _let_14836 _let_14835 _let_14834 _let_14833 _let_14832 _let_14831 _let_14830 _let_14829 _let_14828 _let_14827 _let_14826 _let_14825 _let_14824 _let_14823 _let_14822 _let_14821 _let_14820 _let_14819 _let_14818 _let_14817 _let_14816 _let_14815 _let_14814 _let_14813 _let_14812 _let_14811 _let_14810 _let_14809 _let_14808 _let_14807 _let_14806 _let_14805 _let_14804 _let_14803 _let_14802 _let_14801 _let_14800 _let_14799 _let_14798 _let_14797 _let_14796 _let_14795 _let_14794 _let_14793 _let_14792 _let_14791 _let_14790 _let_14789 _let_14788 _let_14787 _let_14786 _let_14785 _let_14784 _let_14783 _let_14782 _let_14781 _let_14780 _let_14779 _let_14778 _let_14777 _let_14776 _let_14775 _let_14774 _let_14773 _let_14772 _let_14771 _let_14770 _let_14769 _let_14768 _let_14767 _let_14766 _let_14765 _let_14764 _let_14763 _let_14762 _let_14761 _let_14760 _let_14759 _let_14758 _let_14757 _let_14756 _let_14755 _let_14754 _let_14753 _let_14752 _let_14751 _let_14750 _let_14749 _let_14748 _let_14747 _let_14746 _let_14745 _let_14744 _let_14743 _let_14742 _let_14741 _let_14740 _let_14739 _let_14738 _let_14737 _let_14736 _let_14735 _let_14734 _let_14733 _let_14732 _let_14731 _let_14730 _let_14729 _let_14728 _let_14727 _let_14726 _let_14725 _let_14724 _let_14723 _let_14722 _let_14721 _let_14720 _let_14719 _let_14718 _let_14717 _let_14716 _let_14715 _let_14714 _let_14713 _let_14712 _let_14711 _let_14710 _let_14709 _let_14708 _let_14707 _let_14706 _let_14705 _let_14704 _let_14703 _let_14702 _let_14701 _let_14700 _let_14699 _let_14698 _let_14697 _let_14696 _let_14695 _let_14694 _let_14693 _let_14692 _let_14691 _let_14690 _let_14689 _let_14688 _let_14687 _let_14686 _let_14685 _let_14684 _let_14683 _let_14682 _let_14681 _let_14680 _let_14679 _let_14678 _let_14677 _let_14676 _let_14675 _let_14674 _let_14673 _let_14672 _let_14671 _let_14670 _let_14669 _let_14668 _let_14667 _let_14666 _let_14665 _let_14664 _let_14663 _let_14662 _let_14661 _let_14660 _let_14659 _let_14658 _let_14657 _let_14656 _let_14655 _let_14654 _let_14653 _let_14652 _let_14651 _let_14650 _let_14649 _let_14648 _let_14647 _let_14646 _let_14645 _let_14644 _let_14643 _let_14642 _let_14641 _let_14640 _let_14639 _let_14638 _let_14637 _let_14636 _let_14635 _let_14634 _let_14633 _let_14632 _let_14631 _let_14630 _let_14629 _let_14628 _let_14627 _let_14626 _let_14625 _let_14624 _let_14623 _let_14622 _let_14621 _let_14620 _let_14619 _let_14618 _let_14617 _let_14616 _let_14615 _let_14614 _let_14613 _let_14612 _let_14611 _let_14610 _let_14609 _let_14608 _let_14607 _let_14606 _let_14605 _let_14604 _let_14603 _let_14602 _let_14601 _let_14600 _let_14599 _let_14598 _let_14597 _let_14596 _let_14595 _let_14594 _let_14593 _let_14592 _let_14591 _let_14590 _let_14589 _let_14588 _let_14587 _let_14586 _let_14585 _let_14584 _let_14583 _let_14582 _let_14581 _let_14580 _let_14579 _let_14578 _let_14577 _let_14576 _let_14575 _let_14574 _let_14573 _let_14572 _let_14571 _let_14570 _let_14569 _let_14568 _let_14567 _let_14566 _let_14565 _let_14564 _let_14563 _let_14562 _let_14561 _let_14560 _let_14559 _let_14558 _let_14557 _let_14556 _let_14555 _let_14554 _let_14553 _let_14552 _let_14551 _let_14550 _let_14549 _let_14548 _let_14547 _let_14546 _let_14545 _let_14544 _let_14543 _let_14542 _let_14541 _let_14540 _let_14539 _let_14538 _let_14537 _let_14536 _let_14535 _let_14534 _let_14533 _let_14532 _let_14531 _let_14530 _let_14529 _let_14528 _let_14527 _let_14526 _let_14525 _let_14524 _let_14523 _let_14522 _let_14521 _let_14520 _let_14519 _let_14518 _let_14517 _let_14516 _let_14515 _let_14514 _let_14513 _let_14512 _let_14511 _let_14510 _let_14509 _let_14508 _let_14507 _let_14506 _let_14505 _let_14504 _let_14503 _let_14502 _let_14501 _let_14500 _let_14499 _let_14498 _let_14497 _let_14496 _let_14495 _let_14494 _let_14493 _let_14492 _let_14491 _let_14490 _let_14489 _let_14488 _let_14487 _let_14486 _let_14485 _let_14484 _let_14483 _let_14482 _let_14481 _let_14480 _let_14479 _let_14478 _let_14477 _let_14476 _let_14475 _let_14474 _let_14473 _let_14472 _let_14471 _let_14470 _let_14469 _let_14468 _let_14467 _let_14466 _let_14465 _let_14464 _let_14463 _let_14462 _let_14461 _let_14460 _let_14459 _let_14458 _let_14457 _let_14456 _let_14455 _let_14454 _let_14453 _let_14452 _let_14451 _let_14450 _let_14449 _let_14448 _let_14447 _let_14446 _let_14445 _let_14444 _let_14443 _let_14442 _let_14441 _let_14440 _let_14439 _let_14438 _let_14437 _let_14436 _let_14435 _let_14434 _let_14433 _let_14432 _let_14431 _let_14430 _let_14429 _let_14428 _let_14427 _let_14426 _let_14425 _let_14424 _let_14423 _let_14422 _let_14421 _let_14420 _let_14419 _let_14418 _let_14417 _let_14416 _let_14415 _let_14414 _let_14413 _let_14412 _let_14411 _let_14410 _let_14409 _let_14408 _let_14407 _let_14406 _let_14405 _let_14404 _let_14403 _let_14402 _let_14401 _let_14400 _let_14399 _let_14398 _let_14397 _let_14396 _let_14395 _let_14394 _let_14393 _let_14392 _let_14391 _let_14390 _let_14389 _let_14388 _let_14387 _let_14386 _let_14385 _let_14384 _let_14383 _let_14382 _let_14381 _let_14380 _let_14379 _let_14378 _let_14377 _let_14376 _let_14375 _let_14374 _let_14373 _let_14372 _let_14371 _let_14370 _let_14369 _let_14368 _let_14367 _let_14366 _let_14365 _let_14364 _let_14363 _let_14362 _let_14361 _let_14360 _let_14359 _let_14358 _let_14357 _let_14356 _let_14355 _let_14354 _let_14353 _let_14352 _let_14351 _let_14350 _let_14349 _let_14348 _let_14347 _let_14346 _let_14345 _let_14344 _let_14343 _let_14342 _let_14341 _let_14340 _let_14339 _let_14338 _let_14337 _let_14336 _let_14335 _let_14334 _let_14333 _let_14332 _let_14331 _let_14330 _let_14329 _let_14328 _let_14327 _let_14326 _let_14325 _let_14324 _let_14323 _let_14322 _let_14321 _let_14320 _let_14319 _let_14318 _let_14317 _let_14316 _let_14315 _let_14314 _let_14313 _let_14312 _let_14311 _let_14310 _let_14309 _let_14308 _let_14307 _let_14306 _let_14305 _let_14304 _let_14303 _let_14302 _let_14301 _let_14300 _let_14299 _let_14298 _let_14297 _let_14296 _let_14295 _let_14294 _let_14293 _let_14292 _let_14291 _let_14290 _let_14289 _let_14288 _let_14287 _let_14286 _let_14285 _let_14284 _let_14283 _let_14282 _let_14281 _let_14280 _let_14279 _let_14278 _let_14277 _let_14276 _let_14275 _let_14274 _let_14273 _let_14272 _let_14271 _let_14270 _let_14269 _let_14268 _let_14267 _let_14266 _let_14265 _let_14264 _let_14263 _let_14262 _let_14261 _let_14260 _let_14259 _let_14258 _let_14257 _let_14256 _let_14255 _let_14254 _let_14253 _let_14252 _let_14251 _let_14250 _let_14249 _let_14248 _let_14247 _let_14246 _let_14245 _let_14244 _let_14243 _let_14242 _let_14241 _let_14240 _let_14239 _let_14238 _let_14237 _let_14236 _let_14235 _let_14234 _let_14233 _let_14232 _let_14231 _let_14230 _let_14229 _let_14228 _let_14227 _let_14226 _let_14225 _let_14224 _let_14223 _let_14222 _let_14221 _let_14220 _let_14219 _let_14218 _let_14217 _let_14216 _let_14215 _let_14214 _let_14213 _let_14212 _let_14211 _let_14210 _let_14209 _let_14208 _let_14207 _let_14206 _let_14205 _let_14204 _let_14203 _let_14202 _let_14201 _let_14200 _let_14199 _let_14198 _let_14197 _let_14196 _let_14195 _let_14194 _let_14193 _let_14192 _let_14191 _let_14190 _let_14189 _let_14188 _let_14187 _let_14186 _let_14185 _let_14184 _let_14183 _let_14182 _let_14181 _let_14180 _let_14179 _let_14178 _let_14177 _let_14176 _let_14175 _let_14174 _let_14173 _let_14172 _let_14171 _let_14170 _let_14169 _let_14168 _let_14167 _let_14166 _let_14165 _let_14164 _let_14163 _let_14162 _let_14161 _let_14160 _let_14159 _let_14158 _let_14157 _let_14156 _let_14155 _let_14154 _let_14153 _let_14152 _let_14151 _let_14150 _let_14149 _let_14148 _let_14147 _let_14146 _let_14145 _let_14144 _let_14143 _let_14142 _let_14141 _let_14140 _let_14139 _let_14138 _let_14137 _let_14136 _let_14135 _let_14134 _let_14133 _let_14132 _let_14131 _let_14130 _let_14129 _let_14128 _let_14127 _let_14126 _let_14125 _let_14124 _let_14123 _let_14122 _let_14121 _let_14120 _let_14119 _let_14118 _let_14117 _let_14116 _let_14115 _let_14114 _let_14113 _let_14112 _let_14111 _let_14110 _let_14109 _let_14108 _let_14107 _let_14106 _let_14105 _let_14104 _let_14103 _let_14102 _let_14101 _let_14100 _let_14099 _let_14098 _let_14097 _let_14096 _let_14095 _let_14094 _let_14093 _let_14092 _let_14091 _let_14090 _let_14089 _let_14088 _let_14087 _let_14086 _let_14085 _let_14084 _let_14083 _let_14082 _let_14081 _let_14080 _let_14079 _let_14078 _let_14077 _let_14076 _let_14075 _let_14074 _let_14073 _let_14072 _let_14071 _let_14070 _let_14069 _let_14068 _let_14067 _let_14066 _let_14065 _let_14064 _let_14063 _let_14062 _let_14061 _let_14060 _let_14059 _let_14058 _let_14057 _let_14056 _let_14055 _let_14054 _let_14053 _let_14052 _let_14051 _let_14050 _let_14049 _let_14048 _let_14047 _let_14046 _let_14045 _let_14044 _let_14043 _let_14042 _let_14041 _let_14040 _let_14039 _let_14038 _let_14037 _let_14036 _let_14035 _let_14034 _let_14033 _let_14032 _let_14031 _let_14030 _let_14029 _let_14028 _let_14027 _let_14026 _let_14025 _let_14024 _let_14023 _let_14022 _let_14021 _let_14020 _let_14019 _let_14018 _let_14017 _let_14016 _let_14015 _let_14014 _let_14013 _let_14012 _let_14011 _let_14010 _let_14009 _let_14008 _let_14007 _let_14006 _let_14005 _let_14004 _let_14003 _let_14002 _let_14001 _let_14000 _let_13999 _let_13998 _let_13997 _let_13996 _let_13995 _let_13994 _let_13993 _let_13992 _let_13991 _let_13990 _let_13989 _let_13988 _let_13987 _let_13986 _let_13985 _let_13984 _let_13983 _let_13982 _let_13981 _let_13980 _let_13979 _let_13978 _let_13977 _let_13976 _let_13975 _let_13974 _let_13973 _let_13972 _let_13971 _let_13970 _let_13969 _let_13968 _let_13967 _let_13966 _let_13965 _let_13964 _let_13963 _let_13962 _let_13961 _let_13960 _let_13959 _let_13958 _let_13957 _let_13956 _let_13955 _let_13954 _let_13953 _let_13952 _let_13951 _let_13950 _let_13949 _let_13948 _let_13947 _let_13946 _let_13945 _let_13944 _let_13943 _let_13942 _let_13941 _let_13940 _let_13939 _let_13938 _let_13937 _let_13936 _let_13935 _let_13934 _let_13933 _let_13932 _let_13931 _let_13930 _let_13929 _let_13928 _let_13927 _let_13926 _let_13925 _let_13924 _let_13923 _let_13922 _let_13921 _let_13920 _let_13919 _let_13918 _let_13917 _let_13916 _let_13915 _let_13914 _let_13913 _let_13912 _let_13911 _let_13910 _let_13909 _let_13908 _let_13907 _let_13906 _let_13905 _let_13904 _let_13903 _let_13902 _let_13901 _let_13900 _let_13899 _let_13898 _let_13897 _let_13896 _let_13895 _let_13894 _let_13893 _let_13892 _let_13891 _let_13890 _let_13889 _let_13888 _let_13887 _let_13886 _let_13885 _let_13884 _let_13883 _let_13882 _let_13881 _let_13880 _let_13879 _let_13878 _let_13877 _let_13876 _let_13875 _let_13874 _let_13873 _let_13872 _let_13871 _let_13870 _let_13869 _let_13868 _let_13867 _let_13866 _let_13865 _let_13864 _let_13863 _let_13862 _let_13861 _let_13860 _let_13859 _let_13858 _let_13857 _let_13856 _let_13855 _let_13854 _let_13853 _let_13852 _let_13851 _let_13850 _let_13849 _let_13848 _let_13847 _let_13846 _let_13845 _let_13844 _let_13843 _let_13842 _let_13841 _let_13840 _let_13839 _let_13838 _let_13837 _let_13836 _let_13835 _let_13834 _let_13833 _let_13832 _let_13831 _let_13830 _let_13829 _let_13828 _let_13827 _let_13826 _let_13825 _let_13824 _let_13823 _let_13822 _let_13821 _let_13820 _let_13819 _let_13818 _let_13817 _let_13816 _let_13815 _let_13814 _let_13813 _let_13812 _let_13811 _let_13810 _let_13809 _let_13808 _let_13807 _let_13806 _let_13805 _let_13804 _let_13803 _let_13802 _let_13801 _let_13800 _let_13799 _let_13798 _let_13797 _let_13796 _let_13795 _let_13794 _let_13793 _let_13792 _let_13791 _let_13790 _let_13789 _let_13788 _let_13787 _let_13786 _let_13785 _let_13784 _let_13783 _let_13782 _let_13781 _let_13780 _let_13779 _let_13778 _let_13777 _let_13776 _let_13775 _let_13774 _let_13773 _let_13772 _let_13771 _let_13770 _let_13769 _let_13768 _let_13767 _let_13766 _let_13765 _let_13764 _let_13763 _let_13762 _let_13761 _let_13760 _let_13759 _let_13758 _let_13757 _let_13756 _let_13755 _let_13754 _let_13753 _let_13752 _let_13751 _let_13750 _let_13749 _let_13748 _let_13747 _let_13746 _let_13745 _let_13744 _let_13743 _let_13742 _let_13741 _let_13740 _let_13739 _let_13738 _let_13737 _let_13736 _let_13735 _let_13734 _let_13733 _let_13732 _let_13731 _let_13730 _let_13729 _let_13728 _let_13727 _let_13726 _let_13725 _let_13724 _let_13723 _let_13722 _let_13721 _let_13720 _let_13719 _let_13718 _let_13717 _let_13716 _let_13715 _let_13714 _let_13713 _let_13712 _let_13711 _let_13710 _let_13709 _let_13708 _let_13707 _let_13706 _let_13705 _let_13704 _let_13703 _let_13702 _let_13701 _let_13700 _let_13699 _let_13698 _let_13697 _let_13696 _let_13695 _let_13694 _let_13693 _let_13692 _let_13691 _let_13690 _let_13689 _let_13688 _let_13687 _let_13686 _let_13685 _let_13684 _let_13683 _let_13682 _let_13681 _let_13680 _let_13679 _let_13678 _let_13677 _let_13676 _let_13675 _let_13674 _let_13673 _let_13672 _let_13671 _let_13670 _let_13669 _let_13668 _let_13667 _let_13666 _let_13665 _let_13664 _let_13663 _let_13662 _let_13661 _let_13660 _let_13659 _let_13658 _let_13657 _let_13656 _let_13655 _let_13654 _let_13653 _let_13652 _let_13651 _let_13650 _let_13649 _let_13648 _let_13647 _let_13646 _let_13645 _let_13644 _let_13643 _let_13642 _let_13641 _let_13640 _let_13639 _let_13638 _let_13637 _let_13636 _let_13635 _let_13634 _let_13633 _let_13632 _let_13631 _let_13630 _let_13629 _let_13628 _let_13627 _let_13626 _let_13625 _let_13624 _let_13623 _let_13622 _let_13621 _let_13620 _let_13619 _let_13618 _let_13617 _let_13616 _let_13615 _let_13614 _let_13613 _let_13612 _let_13611 _let_13610 _let_13609 _let_13608 _let_13607 _let_13606 _let_13605 _let_13604 _let_13603 _let_13602 _let_13601 _let_13600 _let_13599 _let_13598 _let_13597 _let_13596 _let_13595 _let_13594 _let_13593 _let_13592 _let_13591 _let_13590 _let_13589 _let_13588 _let_13587 _let_13586 _let_13585 _let_13584 _let_13583 _let_13582 _let_13581 _let_13580 _let_13579 _let_13578 _let_13577 _let_13576 _let_13575 _let_13574 _let_13573 _let_13572 _let_13571 _let_13570 _let_13569 _let_13568 _let_13567 _let_13566 _let_13565 _let_13564 _let_13563 _let_13562 _let_13561 _let_13560 _let_13559 _let_13558 _let_13557 _let_13556 _let_13555 _let_13554 _let_13553 _let_13552 _let_13551 _let_13550 _let_13549 _let_13548 _let_13547 _let_13546 _let_13545 _let_13544 _let_13543 _let_13542 _let_13541 _let_13540 _let_13539 _let_13538 _let_13537 _let_13536 _let_13535 _let_13534 _let_13533 _let_13532 _let_13531 _let_13530 _let_13529 _let_13528 _let_13527 _let_13526 _let_13525 _let_13524 _let_13523 _let_13522 _let_13521 _let_13520 _let_13519 _let_13518 _let_13517 _let_13516 _let_13515 _let_13514 _let_13513 _let_13512 _let_13511 _let_13510 _let_13509 _let_13508 _let_13507 _let_13506 _let_13505 _let_13504 _let_13503 _let_13502 _let_13501 _let_13500 _let_13499 _let_13498 _let_13497 _let_13496 _let_13495 _let_13494 _let_13493 _let_13492 _let_13491 _let_13490 _let_13489 _let_13488 _let_13487 _let_13486 _let_13485 _let_13484 _let_13483 _let_13482 _let_13481 _let_13480 _let_13479 _let_13478 _let_13477 _let_13476 _let_13475 _let_13474 _let_13473 _let_13472 _let_13471 _let_13470 _let_13469 _let_13468 _let_13467 _let_13466 _let_13465 _let_13464 _let_13463 _let_13462 _let_13461 _let_13460 _let_13459 _let_13458 _let_13457 _let_13456 _let_13455 _let_13454 _let_13453 _let_13452 _let_13451 _let_13450 _let_13449 _let_13448 _let_13447 _let_13446 _let_13445 _let_13444 _let_13443 _let_13442 _let_13441 _let_13440 _let_13439 _let_13438 _let_13437 _let_13436 _let_13435 _let_13434 _let_13433 _let_13432 _let_13431 _let_13430 _let_13429 _let_13428 _let_13427 _let_13426 _let_13425 _let_13424 _let_13423 _let_13422 _let_13421 _let_13420 _let_13419 _let_13418 _let_13417 _let_13416 _let_13415 _let_13414 _let_13413 _let_13412 _let_13411 _let_13410 _let_13409 _let_13408 _let_13407 _let_13406 _let_13405 _let_13404 _let_13403 _let_13402 _let_13401 _let_13400 _let_13399 _let_13398 _let_13397 _let_13396 _let_13395 _let_13394 _let_13393 _let_13392 _let_13391 _let_13390 _let_13389 _let_13388 _let_13387 _let_13386 _let_13385 _let_13384 _let_13383 _let_13382 _let_13381 _let_13380 _let_13379 _let_13378 _let_13377 _let_13376 _let_13375 _let_13374 _let_13373 _let_13372 _let_13371 _let_13370 _let_13369 _let_13368 _let_13367 _let_13366 _let_13365 _let_13364 _let_13363 _let_13362 _let_13361 _let_13360 _let_13359 _let_13358 _let_13357 _let_13356 _let_13355 _let_13354 _let_13353 _let_13352 _let_13351 _let_13350 _let_13349 _let_13348 _let_13347 _let_13346 _let_13345 _let_13344 _let_13343 _let_13342 _let_13341 _let_13340 _let_13339 _let_13338 _let_13337 _let_13336 _let_13335 _let_13334 _let_13333 _let_13332 _let_13331 _let_13330 _let_13329 _let_13328 _let_13327 _let_13326 _let_13325 _let_13324 _let_13323 _let_13322 _let_13321 _let_13320 _let_13319 _let_13318 _let_13317 _let_13316 _let_13315 _let_13314 _let_13313 _let_13312 _let_13311 _let_13310 _let_13309 _let_13308 _let_13307 _let_13306 _let_13305 _let_13304 _let_13303 _let_13302 _let_13301 _let_13300 _let_13299 _let_13298 _let_13297 _let_13296 _let_13295 _let_13294 _let_13293 _let_13292 _let_13291 _let_13290 _let_13289 _let_13288 _let_13287 _let_13286 _let_13285 _let_13284 _let_13283 _let_13282 _let_13281 _let_13280 _let_13279 _let_13278 _let_13277 _let_13276 _let_13275 _let_13274 _let_13273 _let_13272 _let_13271 _let_13270 _let_13269 _let_13268 _let_13267 _let_13266 _let_13265 _let_13264 _let_13263 _let_13262 _let_13261 _let_13260 _let_13259 _let_13258 _let_13257 _let_13256 _let_13255 _let_13254 _let_13253 _let_13252 _let_13251 _let_13250 _let_13249 _let_13248 _let_13247 _let_13246 _let_13245 _let_13244 _let_13243 _let_13242 _let_13241 _let_13240 _let_13239 _let_13238 _let_13237 _let_13236 _let_13235 _let_13234 _let_13233 _let_13232 _let_13231 _let_13230 _let_13229 _let_13228 _let_13227 _let_13226 _let_13225 _let_13224 _let_13223 _let_13222 _let_13221 _let_13220 _let_13219 _let_13218 _let_13217 _let_13216 _let_13215 _let_13214 _let_13213 _let_13212 _let_13211 _let_13210 _let_13209 _let_13208 _let_13207 _let_13206 _let_13205 _let_13204 _let_13203 _let_13202 _let_13201 _let_13200 _let_13199 _let_13198 _let_13197 _let_13196 _let_13195 _let_13194 _let_13193 _let_13192 _let_13191 _let_13190 _let_13189 _let_13188 _let_13187 _let_13186 _let_13185 _let_13184 _let_13183 _let_13182 _let_13181 _let_13180 _let_13179 _let_13178 _let_13177 _let_13176 _let_13175 _let_13174 _let_13173 _let_13172 _let_13171 _let_13170 _let_13169 _let_13168 _let_13167 _let_13166 _let_13165 _let_13164 _let_13163 _let_13162 _let_13161 _let_13160 _let_13159 _let_13158 _let_13157 _let_13156 _let_13155 _let_13154 _let_13153 _let_13152 _let_13151 _let_13150 _let_13149 _let_13148 _let_13147 _let_13146 _let_13145 _let_13144 _let_13143 _let_13142 _let_13141 _let_13140 _let_13139 _let_13138 _let_13137 _let_13136 _let_13135 _let_13134 _let_13133 _let_13132 _let_13131 _let_13130 _let_13129 _let_13128 _let_13127 _let_13126 _let_13125 _let_13124 _let_13123 _let_13122 _let_13121 _let_13120 _let_13119 _let_13118 _let_13117 _let_13116 _let_13115 _let_13114 _let_13113 _let_13112 _let_13111 _let_13110 _let_13109 _let_13108 _let_13107 _let_13106 _let_13105 _let_13104 _let_13103 _let_13102 _let_13101 _let_13100 _let_13099 _let_13098 _let_13097 _let_13096 _let_13095 _let_13094 _let_13093 _let_13092 _let_13091 _let_13090 _let_13089 _let_13088 _let_13087 _let_13086 _let_13085 _let_13084 _let_13083 _let_13082 _let_13081 _let_13080 _let_13079 _let_13078 _let_13077 _let_13076 _let_13075 _let_13074 _let_13073 _let_13072 _let_13071 _let_13070 _let_13069 _let_13068 _let_13067 _let_13066 _let_13065 _let_13064 _let_13063 _let_13062 _let_13061 _let_13060 _let_13059 _let_13058 _let_13057 _let_13056 _let_13055 _let_13054 _let_13053 _let_13052 _let_13051 _let_13050 _let_13049 _let_13048 _let_13047 _let_13046 _let_13045 _let_13044 _let_13043 _let_13042 _let_13041 _let_13040 _let_13039 _let_13038 _let_13037 _let_13036 _let_13035 _let_13034 _let_13033 _let_13032 _let_13031 _let_13030 _let_13029 _let_13028 _let_13027 _let_13026 _let_13025 _let_13024 _let_13023 _let_13022 _let_13021 _let_13020 _let_13019 _let_13018 _let_13017 _let_13016 _let_13015 _let_13014 _let_13013 _let_13012 _let_13011 _let_13010 _let_13009 _let_13008 _let_13007 _let_13006 _let_13005 _let_13004 _let_13003 _let_13002 _let_13001 _let_13000 _let_12999 _let_12998 _let_12997 _let_12996 _let_12995 _let_12994 _let_12993 _let_12992 _let_12991 _let_12990 _let_12989 _let_12988 _let_12987 _let_12986 _let_12985 _let_12984 _let_12983 _let_12982 _let_12981 _let_12980 _let_12979 _let_12978 _let_12977 _let_12976 _let_12975 _let_12974 _let_12973 _let_12972 _let_12971 _let_12970 _let_12969 _let_12968 _let_12967 _let_12966 _let_12965 _let_12964 _let_12963 _let_12962 _let_12961 _let_12960 _let_12959 _let_12958 _let_12957 _let_12956 _let_12955 _let_12954 _let_12953 _let_12952 _let_12951 _let_12950 _let_12949 _let_12948 _let_12947 _let_12946 _let_12945 _let_12944 _let_12943 _let_12942 _let_12941 _let_12940 _let_12939 _let_12938 _let_12937 _let_12936 _let_12935 _let_12934 _let_12933 _let_12932 _let_12931 _let_12930 _let_12929 _let_12928 _let_12927 _let_12926 _let_12925 _let_12924 _let_12923 _let_12922 _let_12921 _let_12920 _let_12919 _let_12918 _let_12917 _let_12916 _let_12915 _let_12914 _let_12913 _let_12912 _let_12911 _let_12910 _let_12909 _let_12908 _let_12907 _let_12906 _let_12905 _let_12904 _let_12903 _let_12902 _let_12901 _let_12900 _let_12899 _let_12898 _let_12897 _let_12896 _let_12895 _let_12894 _let_12893 _let_12892 _let_12891 _let_12890 _let_12889 _let_12888 _let_12887 _let_12886 _let_12885 _let_12884 _let_12883 _let_12882 _let_12881 _let_12880 _let_12879 _let_12878 _let_12877 _let_12876 _let_12875 _let_12874 _let_12873 _let_12872 _let_12871 _let_12870 _let_12869 _let_12868 _let_12867 _let_12866 _let_12865 _let_12864 _let_12863 _let_12862 _let_12861 _let_12860 _let_12859 _let_12858 _let_12857 _let_12856 _let_12855 _let_12854 _let_12853 _let_12852 _let_12851 _let_12850 _let_12849 _let_12848 _let_12847 _let_12846 _let_12845 _let_12844 _let_12843 _let_12842 _let_12841 _let_12840 _let_12839 _let_12838 _let_12837 _let_12836 _let_12835 _let_12834 _let_12833 _let_12832 _let_12831 _let_12830 _let_12829 _let_12828 _let_12827 _let_12826 _let_12825 _let_12824 _let_12823 _let_12822 _let_12821 _let_12820 _let_12819 _let_12818 _let_12817 _let_12816 _let_12815 _let_12814 _let_12813 _let_12812 _let_12811 _let_12810 _let_12809 _let_12808 _let_12807 _let_12806 _let_12805 _let_12804 _let_12803 _let_12802 _let_12801 _let_12800 _let_12799 _let_12798 _let_12797 _let_12796 _let_12795 _let_12794 _let_12793 _let_12792 _let_12791 _let_12790 _let_12789 _let_12788 _let_12787 _let_12786 _let_12785 _let_12784 _let_12783 _let_12782 _let_12781 _let_12780 _let_12779 _let_12778 _let_12777 _let_12776 _let_12775 _let_12774 _let_12773 _let_12772 _let_12771 _let_12770 _let_12769 _let_12768 _let_12767 _let_12766 _let_12765 _let_12764 _let_12763 _let_12762 _let_12761 _let_12760 _let_12759 _let_12758 _let_12757 _let_12756 _let_12755 _let_12754 _let_12753 _let_12752 _let_12751 _let_12750 _let_12749 _let_12748 _let_12747 _let_12746 _let_12745 _let_12744 _let_12743 _let_12742 _let_12741 _let_12740 _let_12739 _let_12738 _let_12737 _let_12736 _let_12735 _let_12734 _let_12733 _let_12732 _let_12731 _let_12730 _let_12729 _let_12728 _let_12727 _let_12726 _let_12725 _let_12724 _let_12723 _let_12722 _let_12721 _let_12720 _let_12719 _let_12718 _let_12717 _let_12716 _let_12715 _let_12714 _let_12713 _let_12712 _let_12711 _let_12710 _let_12709 _let_12708 _let_12707 _let_12706 _let_12705 _let_12704 _let_12703 _let_12702 _let_12701 _let_12700 _let_12699 _let_12698 _let_12697 _let_12696 _let_12695 _let_12694 _let_12693 _let_12692 _let_12691 _let_12690 _let_12689 _let_12688 _let_12687 _let_12686 _let_12685 _let_12684 _let_12683 _let_12682 _let_12681 _let_12680 _let_12679 _let_12678 _let_12677 _let_12676 _let_12675 _let_12674 _let_12673 _let_12672 _let_12671 _let_12670 _let_12669 _let_12668 _let_12667 _let_12666 _let_12665 _let_12664 _let_12663 _let_12662 _let_12661 _let_12660 _let_12659 _let_12658 _let_12657 _let_12656 _let_12655 _let_12654 _let_12653 _let_12652 _let_12651 _let_12650 _let_12649 _let_12648 _let_12647 _let_12646 _let_12645 _let_12644 _let_12643 _let_12642 _let_12641 _let_12640 _let_12639 _let_12638 _let_12637 _let_12636 _let_12635 _let_12634 _let_12633 _let_12632 _let_12631 _let_12630 _let_12629 _let_12628 _let_12627 _let_12626 _let_12625 _let_12624 _let_12623 _let_12622 _let_12621 _let_12620 _let_12619 _let_12618 _let_12617 _let_12616 _let_12615 _let_12614 _let_12613 _let_12612 _let_12611 _let_12610 _let_12609 _let_12608 _let_12607 _let_12606 _let_12605 _let_12604 _let_12603 _let_12602 _let_12601 _let_12600 _let_12599 _let_12598 _let_12597 _let_12596 _let_12595 _let_12594 _let_12593 _let_12592 _let_12591 _let_12590 _let_12589 _let_12588 _let_12587 _let_12586 _let_12585 _let_12584 _let_12583 _let_12582 _let_12581 _let_12580 _let_12579 _let_12578 _let_12577 _let_12576 _let_12575 _let_12574 _let_12573 _let_12572 _let_12571 _let_12570 _let_12569 _let_12568 _let_12567 _let_12566 _let_12565 _let_12564 _let_12563 _let_12562 _let_12561 _let_12560 _let_12559 _let_12558 _let_12557 _let_12556 _let_12555 _let_12554 _let_12553 _let_12552 _let_12551 _let_12550 _let_12549 _let_12548 _let_12547 _let_12546 _let_12545 _let_12544 _let_12543 _let_12542 _let_12541 _let_12540 _let_12539 _let_12538 _let_12537 _let_12536 _let_12535 _let_12534 _let_12533 _let_12532 _let_12531 _let_12530 _let_12529 _let_12528 _let_12527 _let_12526 _let_12525 _let_12524 _let_12523 _let_12522 _let_12521 _let_12520 _let_12519 _let_12518 _let_12517 _let_12516 _let_12515 _let_12514 _let_12513 _let_12512 _let_12511 _let_12510 _let_12509 _let_12508 _let_12507 _let_12506 _let_12505 _let_12504 _let_12503 _let_12502 _let_12501 _let_12500 _let_12499 _let_12498 _let_12497 _let_12496 _let_12495 _let_12494 _let_12493 _let_12492 _let_12491 _let_12490 _let_12489 _let_12488 _let_12487 _let_12486 _let_12485 _let_12484 _let_12483 _let_12482 _let_12481 _let_12480 _let_12479 _let_12478 _let_12477 _let_12476 _let_12475 _let_12474 _let_12473 _let_12472 _let_12471 _let_12470 _let_12469 _let_12468 _let_12467 _let_12466 _let_12465 _let_12464 _let_12463 _let_12462 _let_12461 _let_12460 _let_12459 _let_12458 _let_12457 _let_12456 _let_12455 _let_12454 _let_12453 _let_12452 _let_12451 _let_12450 _let_12449 _let_12448 _let_12447 _let_12446 _let_12445 _let_12444 _let_12443 _let_12442 _let_12441 _let_12440 _let_12439 _let_12438 _let_12437 _let_12436 _let_12435 _let_12434 _let_12433 _let_12432 _let_12431 _let_12430 _let_12429 _let_12428 _let_12427 _let_12426 _let_12425 _let_12424 _let_12423 _let_12422 _let_12421 _let_12420 _let_12419 _let_12418 _let_12417 _let_12416 _let_12415 _let_12414 _let_12413 _let_12412 _let_12411 _let_12410 _let_12409 _let_12408 _let_12407 _let_12406 _let_12405 _let_12404 _let_12403 _let_12402 _let_12401 _let_12400 _let_12399 _let_12398 _let_12397 _let_12396 _let_12395 _let_12394 _let_12393 _let_12392 _let_12391 _let_12390 _let_12389 _let_12388 _let_12387 _let_12386 _let_12385 _let_12384 _let_12383 _let_12382 _let_12381 _let_12380 _let_12379 _let_12378 _let_12377 _let_12376 _let_12375 _let_12374 _let_12373 _let_12372 _let_12371 _let_12370 _let_12369 _let_12368 _let_12367 _let_12366 _let_12365 _let_12364 _let_12363 _let_12362 _let_12361 _let_12360 _let_12359 _let_12358 _let_12357 _let_12356 _let_12355 _let_12354 _let_12353 _let_12352 _let_12351 _let_12350 _let_12349 _let_12348 _let_12347 _let_12346 _let_12345 _let_12344 _let_12343 _let_12342 _let_12341 _let_12340 _let_12339 _let_12338 _let_12337 _let_12336 _let_12335 _let_12334 _let_12333 _let_12332 _let_12331 _let_12330 _let_12329 _let_12328 _let_12327 _let_12326 _let_12325 _let_12324 _let_12323 _let_12322 _let_12321 _let_12320 _let_12319 _let_12318 _let_12317 _let_12316 _let_12315 _let_12314 _let_12313 _let_12312 _let_12311 _let_12310 _let_12309 _let_12308 _let_12307 _let_12306 _let_12305 _let_12304 _let_12303 _let_12302 _let_12301 _let_12300 _let_12299 _let_12298 _let_12297 _let_12296 _let_12295 _let_12294 _let_12293 _let_12292 _let_12291 _let_12290 _let_12289 _let_12288 _let_12287 _let_12286 _let_12285 _let_12284 _let_12283 _let_12282 _let_12281 _let_12280 _let_12279 _let_12278 _let_12277 _let_12276 _let_12275 _let_12274 _let_12273 _let_12272 _let_12271 _let_12270 _let_12269 _let_12268 _let_12267 _let_12266 _let_12265 _let_12264 _let_12263 _let_12262 _let_12261 _let_12260 _let_12259 _let_12258 _let_12257 _let_12256 _let_12255 _let_12254 _let_12253 _let_12252 _let_12251 _let_12250 _let_12249 _let_12248 _let_12247 _let_12246 _let_12245 _let_12244 _let_12243 _let_12242 _let_12241 _let_12240 _let_12239 _let_12238 _let_12237 _let_12236 _let_12235 _let_12234 _let_12233 _let_12232 _let_12231 _let_12230 _let_12229 _let_12228 _let_12227 _let_12226 _let_12225 _let_12224 _let_12223 _let_12222 _let_12221 _let_12220 _let_12219 _let_12218 _let_12217 _let_12216 _let_12215 _let_12214 _let_12213 _let_12212 _let_12211 _let_12210 _let_12209 _let_12208 _let_12207 _let_12206 _let_12205 _let_12204 _let_12203 _let_12202 _let_12201 _let_12200 _let_12199 _let_12198 _let_12197 _let_12196 _let_12195 _let_12194 _let_12193 _let_12192 _let_12191 _let_12190 _let_12189 _let_12188 _let_12187 _let_12186 _let_12185 _let_12184 _let_12183 _let_12182 _let_12181 _let_12180 _let_12179 _let_12178 _let_12177 _let_12176 _let_12175 _let_12174 _let_12173 _let_12172 _let_12171 _let_12170 _let_12169 _let_12168 _let_12167 _let_12166 _let_12165 _let_12164 _let_12163 _let_12162 _let_12161 _let_12160 _let_12159 _let_12158 _let_12157 _let_12156 _let_12155 _let_12154 _let_12153 _let_12152 _let_12151 _let_12150 _let_12149 _let_12148 _let_12147 _let_12146 _let_12145 _let_12144 _let_12143 _let_12142 _let_12141 _let_12140 _let_12139 _let_12138 _let_12137 _let_12136 _let_12135 _let_12134 _let_12133 _let_12132 _let_12131 _let_12130 _let_12129 _let_12128 _let_12127 _let_12126 _let_12125 _let_12124 _let_12123 _let_12122 _let_12121 _let_12120 _let_12119 _let_12118 _let_12117 _let_12116 _let_12115 _let_12114 _let_12113 _let_12112 _let_12111 _let_12110 _let_12109 _let_12108 _let_12107 _let_12106 _let_12105 _let_12104 _let_12103 _let_12102 _let_12101 _let_12100 _let_12099 _let_12098 _let_12097 _let_12096 _let_12095 _let_12094 _let_12093 _let_12092 _let_12091 _let_12090 _let_12089 _let_12088 _let_12087 _let_12086 _let_12085 _let_12084 _let_12083 _let_12082 _let_12081 _let_12080 _let_12079 _let_12078 _let_12077 _let_12076 _let_12075 _let_12074 _let_12073 _let_12072 _let_12071 _let_12070 _let_12069 _let_12068 _let_12067 _let_12066 _let_12065 _let_12064 _let_12063 _let_12062 _let_12061 _let_12060 _let_12059 _let_12058 _let_12057 _let_12056 _let_12055 _let_12054 _let_12053 _let_12052 _let_12051 _let_12050 _let_12049 _let_12048 _let_12047 _let_12046 _let_12045 _let_12044 _let_12043 _let_12042 _let_12041 _let_12040 _let_12039 _let_12038 _let_12037 _let_12036 _let_12035 _let_12034 _let_12033 _let_12032 _let_12031 _let_12030 _let_12029 _let_12028 _let_12027 _let_12026 _let_12025 _let_12024 _let_12023 _let_12022 _let_12021 _let_12020 _let_12019 _let_12018 _let_12017 _let_12016 _let_12015 _let_12014 _let_12013 _let_12012 _let_12011 _let_12010 _let_12009 _let_12008 _let_12007 _let_12006 _let_12005 _let_12004 _let_12003 _let_12002 _let_12001 _let_12000 _let_11999 _let_11998 _let_11997 _let_11996 _let_11995 _let_11994 _let_11993 _let_11992 _let_11991 _let_11990 _let_11989 _let_11988 _let_11987 _let_11986 _let_11985 _let_11984 _let_11983 _let_11982 _let_11981 _let_11980 _let_11979 _let_11978 _let_11977 _let_11976 _let_11975 _let_11974 _let_11973 _let_11972 _let_11971 _let_11970 _let_11969 _let_11968 _let_11967 _let_11966 _let_11965 _let_11964 _let_11963 _let_11962 _let_11961 _let_11960 _let_11959 _let_11958 _let_11957 _let_11956 _let_11955 _let_11954 _let_11953 _let_11952 _let_11951 _let_11950 _let_11949 _let_11948 _let_11947 _let_11946 _let_11945 _let_11944 _let_11943 _let_11942 _let_11941 _let_11940 _let_11939 _let_11938 _let_11937 _let_11936 _let_11935 _let_11934 _let_11933 _let_11932 _let_11931 _let_11930 _let_11929 _let_11928 _let_11927 _let_11926 _let_11925 _let_11924 _let_11923 _let_11922 _let_11921 _let_11920 _let_11919 _let_11918 _let_11917 _let_11916 _let_11915 _let_11914 _let_11913 _let_11912 _let_11911 _let_11910 _let_11909 _let_11908 _let_11907 _let_11906 _let_11905 _let_11904 _let_11903 _let_11902 _let_11901 _let_11900 _let_11899 _let_11898 _let_11897 _let_11896 _let_11895 _let_11894 _let_11893 _let_11892 _let_11891 _let_11890 _let_11889 _let_11888 _let_11887 _let_11886 _let_11885 _let_11884 _let_11883 _let_11882 _let_11881 _let_11880 _let_11879 _let_11878 _let_11877 _let_11876 _let_11875 _let_11874 _let_11873 _let_11872 _let_11871 _let_11870 _let_11869 _let_11868 _let_11867 _let_11866 _let_11865 _let_11864 _let_11863 _let_11862 _let_11861 _let_11860 _let_11859 _let_11858 _let_11857 _let_11856 _let_11855 _let_11854 _let_11853 _let_11852 _let_11851 _let_11850 _let_11849 _let_11848 _let_11847 _let_11846 _let_11845 _let_11844 _let_11843 _let_11842 _let_11841 _let_11840 _let_11839 _let_11838 _let_11837 _let_11836 _let_11835 _let_11834 _let_11833 _let_11832 _let_11831 _let_11830 _let_11829 _let_11828 _let_11827 _let_11826 _let_11825 _let_11824 _let_11823 _let_11822 _let_11821 _let_11820 _let_11819 _let_11818 _let_11817 _let_11816 _let_11815 _let_11814 _let_11813 _let_11812 _let_11811 _let_11810 _let_11809 _let_11808 _let_11807 _let_11806 _let_11805 _let_11804 _let_11803 _let_11802 _let_11801 _let_11800 _let_11799 _let_11798 _let_11797 _let_11796 _let_11795 _let_11794 _let_11793 _let_11792 _let_11791 _let_11790 _let_11789 _let_11788 _let_11787 _let_11786 _let_11785 _let_11784 _let_11783 _let_11782 _let_11781 _let_11780 _let_11779 _let_11778 _let_11777 _let_11776 _let_11775 _let_11774 _let_11773 _let_11772 _let_11771 _let_11770 _let_11769 _let_11768 _let_11767 _let_11766 _let_11765 _let_11764 _let_11763 _let_11762 _let_11761 _let_11760 _let_11759 _let_11758 _let_11757 _let_11756 _let_11755 _let_11754 _let_11753 _let_11752 _let_11751 _let_11750 _let_11749 _let_11748 _let_11747 _let_11746 _let_11745 _let_11744 _let_11743 _let_11742 _let_11741 _let_11740 _let_11739 _let_11738 _let_11737 _let_11736 _let_11735 _let_11734 _let_11733 _let_11732 _let_11731 _let_11730 _let_11729 _let_11728 _let_11727 _let_11726 _let_11725 _let_11724 _let_11723 _let_11722 _let_11721 _let_11720 _let_11719 _let_11718 _let_11717 _let_11716 _let_11715 _let_11714 _let_11713 _let_11712 _let_11711 _let_11710 _let_11709 _let_11708 _let_11707 _let_11706 _let_11705 _let_11704 _let_11703 _let_11702 _let_11701 _let_11700 _let_11699 _let_11698 _let_11697 _let_11696 _let_11695 _let_11694 _let_11693 _let_11692 _let_11691 _let_11690 _let_11689 _let_11688 _let_11687 _let_11686 _let_11685 _let_11684 _let_11683 _let_11682 _let_11681 _let_11680 _let_11679 _let_11678 _let_11677 _let_11676 _let_11675 _let_11674 _let_11673 _let_11672 _let_11671 _let_11670 _let_11669 _let_11668 _let_11667 _let_11666 _let_11665 _let_11664 _let_11663 _let_11662 _let_11661 _let_11660 _let_11659 _let_11658 _let_11657 _let_11656 _let_11655 _let_11654 _let_11653 _let_11652 _let_11651 _let_11650 _let_11649 _let_11648 _let_11647 _let_11646 _let_11645 _let_11644 _let_11643 _let_11642 _let_11641 _let_11640 _let_11639 _let_11638 _let_11637 _let_11636 _let_11635 _let_11634 _let_11633 _let_11632 _let_11631 _let_11630 _let_11629 _let_11628 _let_11627 _let_11626 _let_11625 _let_11624 _let_11623 _let_11622 _let_11621 _let_11620 _let_11619 _let_11618 _let_11617 _let_11616 _let_11615 _let_11614 _let_11613 _let_11612 _let_11611 _let_11610 _let_11609 _let_11608 _let_11607 _let_11606 _let_11605 _let_11604 _let_11603 _let_11602 _let_11601 _let_11600 _let_11599 _let_11598 _let_11597 _let_11596 _let_11595 _let_11594 _let_11593 _let_11592 _let_11591 _let_11590 _let_11589 _let_11588 _let_11587 _let_11586 _let_11585 _let_11584 _let_11583 _let_11582 _let_11581 _let_11580 _let_11579 _let_11578 _let_11577 _let_11576 _let_11575 _let_11574 _let_11573 _let_11572 _let_11571 _let_11570 _let_11569 _let_11568 _let_11567 _let_11566 _let_11565 _let_11564 _let_11563 _let_11562 _let_11561 _let_11560 _let_11559 _let_11558 _let_11557 _let_11556 _let_11555 _let_11554 _let_11553 _let_11552 _let_11551 _let_11550 _let_11549 _let_11548 _let_11547 _let_11546 _let_11545 _let_11544 _let_11543 _let_11542 _let_11541 _let_11540 _let_11539 _let_11538 _let_11537 _let_11536 _let_11535 _let_11534 _let_11533 _let_11532 _let_11531 _let_11530 _let_11529 _let_11528 _let_11527 _let_11526 _let_11525 _let_11524 _let_11523 _let_11522 _let_11521 _let_11520 _let_11519 _let_11518 _let_11517 _let_11516 _let_11515 _let_11514 _let_11513 _let_11512 _let_11511 _let_11510 _let_11509 _let_11508 _let_11507 _let_11506 _let_11505 _let_11504 _let_11503 _let_11502 _let_11501 _let_11500 _let_11499 _let_11498 _let_11497 _let_11496 _let_11495 _let_11494 _let_11493 _let_11492 _let_11491 _let_11490 _let_11489 _let_11488 _let_11487 _let_11486 _let_11485 _let_11484 _let_11483 _let_11482 _let_11481 _let_11480 _let_11479 _let_11478 _let_11477 _let_11476 _let_11475 _let_11474 _let_11473 _let_11472 _let_11471 _let_11470 _let_11469 _let_11468 _let_11467 _let_11466 _let_11465 _let_11464 _let_11463 _let_11462 _let_11461 _let_11460 _let_11459 _let_11458 _let_11457 _let_11456 _let_11455 _let_11454 _let_11453 _let_11452 _let_11451 _let_11450 _let_11449 _let_11448 _let_11447 _let_11446 _let_11445 _let_11444 _let_11443 _let_11442 _let_11441 _let_11440 _let_11439 _let_11438 _let_11437 _let_11436 _let_11435 _let_11434 _let_11433 _let_11432 _let_11431 _let_11430 _let_11429 _let_11428 _let_11427 _let_11426 _let_11425 _let_11424 _let_11423 _let_11422 _let_11421 _let_11420 _let_11419 _let_11418 _let_11417 _let_11416 _let_11415 _let_11414 _let_11413 _let_11412 _let_11411 _let_11410 _let_11409 _let_11408 _let_11407 _let_11406 _let_11405 _let_11404 _let_11403 _let_11402 _let_11401 _let_11400 _let_11399 _let_11398 _let_11397 _let_11396 _let_11395 _let_11394 _let_11393 _let_11392 _let_11391 _let_11390 _let_11389 _let_11388 _let_11387 _let_11386 _let_11385 _let_11384 _let_11383 _let_11382 _let_11381 _let_11380 _let_11379 _let_11378 _let_11377 _let_11376 _let_11375 _let_11374 _let_11373 _let_11372 _let_11371 _let_11370 _let_11369 _let_11368 _let_11367 _let_11366 _let_11365 _let_11364 _let_11363 _let_11362 _let_11361 _let_11360 _let_11359 _let_11358 _let_11357 _let_11356 _let_11355 _let_11354 _let_11353 _let_11352 _let_11351 _let_11350 _let_11349 _let_11348 _let_11347 _let_11346 _let_11345 _let_11344 _let_11343 _let_11342 _let_11341 _let_11340 _let_11339 _let_11338 _let_11337 _let_11336 _let_11335 _let_11334 _let_11333 _let_11332 _let_11331 _let_11330 _let_11329 _let_11328 _let_11327 _let_11326 _let_11325 _let_11324 _let_11323 _let_11322 _let_11321 _let_11320 _let_11319 _let_11318 _let_11317 _let_11316 _let_11315 _let_11314 _let_11313 _let_11312 _let_11311 _let_11310 _let_11309 _let_11308 _let_11307 _let_11306 _let_11305 _let_11304 _let_11303 _let_11302 _let_11301 _let_11300 _let_11299 _let_11298 _let_11297 _let_11296 _let_11295 _let_11294 _let_11293 _let_11292 _let_11291 _let_11290 _let_11289 _let_11288 _let_11287 _let_11286 _let_11285 _let_11284 _let_11283 _let_11282 _let_11281 _let_11280 _let_11279 _let_11278 _let_11277 _let_11276 _let_11275 _let_11274 _let_11273 _let_11272 _let_11271 _let_11270 _let_11269 _let_11268 _let_11267 _let_11266 _let_11265 _let_11264 _let_11263 _let_11262 _let_11261 _let_11260 _let_11259 _let_11258 _let_11257 _let_11256 _let_11255 _let_11254 _let_11253 _let_11252 _let_11251 _let_11250 _let_11249 _let_11248 _let_11247 _let_11246 _let_11245 _let_11244 _let_11243 _let_11242 _let_11241 _let_11240 _let_11239 _let_11238 _let_11237 _let_11236 _let_11235 _let_11234 _let_11233 _let_11232 _let_11231 _let_11230 _let_11229 _let_11228 _let_11227 _let_11226 _let_11225 _let_11224 _let_11223 _let_11222 _let_11221 _let_11220 _let_11219 _let_11218 _let_11217 _let_11216 _let_11215 _let_11214 _let_11213 _let_11212 _let_11211 _let_11210 _let_11209 _let_11208 _let_11207 _let_11206 _let_11205 _let_11204 _let_11203 _let_11202 _let_11201 _let_11200 _let_11199 _let_11198 _let_11197 _let_11196 _let_11195 _let_11194 _let_11193 _let_11192 _let_11191 _let_11190 _let_11189 _let_11188 _let_11187 _let_11186 _let_11185 _let_11184 _let_11183 _let_11182 _let_11181 _let_11180 _let_11179 _let_11178 _let_11177 _let_11176 _let_11175 _let_11174 _let_11173 _let_11172 _let_11171 _let_11170 _let_11169 _let_11168 _let_11167 _let_11166 _let_11165 _let_11164 _let_11163 _let_11162 _let_11161 _let_11160 _let_11159 _let_11158 _let_11157 _let_11156 _let_11155 _let_11154 _let_11153 _let_11152 _let_11151 _let_11150 _let_11149 _let_11148 _let_11147 _let_11146 _let_11145 _let_11144 _let_11143 _let_11142 _let_11141 _let_11140 _let_11139 _let_11138 _let_11137 _let_11136 _let_11135 _let_11134 _let_11133 _let_11132 _let_11131 _let_11130 _let_11129 _let_11128 _let_11127 _let_11126 _let_11125 _let_11124 _let_11123 _let_11122 _let_11121 _let_11120 _let_11119 _let_11118 _let_11117 _let_11116 _let_11115 _let_11114 _let_11113 _let_11112 _let_11111 _let_11110 _let_11109 _let_11108 _let_11107 _let_11106 _let_11105 _let_11104 _let_11103 _let_11102 _let_11101 _let_11100 _let_11099 _let_11098 _let_11097 _let_11096 _let_11095 _let_11094 _let_11093 _let_11092 _let_11091 _let_11090 _let_11089 _let_11088 _let_11087 _let_11086 _let_11085 _let_11084 _let_11083 _let_11082 _let_11081 _let_11080 _let_11079 _let_11078 _let_11077 _let_11076 _let_11075 _let_11074 _let_11073 _let_11072 _let_11071 _let_11070 _let_11069 _let_11068 _let_11067 _let_11066 _let_11065 _let_11064 _let_11063 _let_11062 _let_11061 _let_11060 _let_11059 _let_11058 _let_11057 _let_11056 _let_11055 _let_11054 _let_11053 _let_11052 _let_11051 _let_11050 _let_11049 _let_11048 _let_11047 _let_11046 _let_11045 _let_11044 _let_11043 _let_11042 _let_11041 _let_11040 _let_11039 _let_11038 _let_11037 _let_11036 _let_11035 _let_11034 _let_11033 _let_11032 _let_11031 _let_11030 _let_11029 _let_11028 _let_11027 _let_11026 _let_11025 _let_11024 _let_11023 _let_11022 _let_11021 _let_11020 _let_11019 _let_11018 _let_11017 _let_11016 _let_11015 _let_11014 _let_11013 _let_11012 _let_11011 _let_11010 _let_11009 _let_11008 _let_11007 _let_11006 _let_11005 _let_11004 _let_11003 _let_11002 _let_11001 _let_11000 _let_10999 _let_10998 _let_10997 _let_10996 _let_10995 _let_10994 _let_10993 _let_10992 _let_10991 _let_10990 _let_10989 _let_10988 _let_10987 _let_10986 _let_10985 _let_10984 _let_10983 _let_10982 _let_10981 _let_10980 _let_10979 _let_10978 _let_10977 _let_10976 _let_10975 _let_10974 _let_10973 _let_10972 _let_10971 _let_10970 _let_10969 _let_10968 _let_10967 _let_10966 _let_10965 _let_10964 _let_10963 _let_10962 _let_10961 _let_10960 _let_10959 _let_10958 _let_10957 _let_10956 _let_10955 _let_10954 _let_10953 _let_10952 _let_10951 _let_10950 _let_10949 _let_10948 _let_10947 _let_10946 _let_10945 _let_10944 _let_10943 _let_10942 _let_10941 _let_10940 _let_10939 _let_10938 _let_10937 _let_10936 _let_10935 _let_10934 _let_10933 _let_10932 _let_10931 _let_10930 _let_10929 _let_10928 _let_10927 _let_10926 _let_10925 _let_10924 _let_10923 _let_10922 _let_10921 _let_10920 _let_10919 _let_10918 _let_10917 _let_10916 _let_10915 _let_10914 _let_10913 _let_10912 _let_10911 _let_10910 _let_10909 _let_10908 _let_10907 _let_10906 _let_10905 _let_10904 _let_10903 _let_10902 _let_10901 _let_10900 _let_10899 _let_10898 _let_10897 _let_10896 _let_10895 _let_10894 _let_10893 _let_10892 _let_10891 _let_10890 _let_10889 _let_10888 _let_10887 _let_10886 _let_10885 _let_10884 _let_10883 _let_10882 _let_10881 _let_10880 _let_10879 _let_10878 _let_10877 _let_10876 _let_10875 _let_10874 _let_10873 _let_10872 _let_10871 _let_10870 _let_10869 _let_10868 _let_10867 _let_10866 _let_10865 _let_10864 _let_10863 _let_10862 _let_10861 _let_10860 _let_10859 _let_10858 _let_10857 _let_10856 _let_10855 _let_10854 _let_10853 _let_10852 _let_10851 _let_10850 _let_10849 _let_10848 _let_10847 _let_10846 _let_10845 _let_10844 _let_10843 _let_10842 _let_10841 _let_10840 _let_10839 _let_10838 _let_10837 _let_10836 _let_10835 _let_10834 _let_10833 _let_10832 _let_10831 _let_10830 _let_10829 _let_10828 _let_10827 _let_10826 _let_10825 _let_10824 _let_10823 _let_10822 _let_10821 _let_10820 _let_10819 _let_10818 _let_10817 _let_10816 _let_10815 _let_10814 _let_10813 _let_10812 _let_10811 _let_10810 _let_10809 _let_10808 _let_10807 _let_10806 _let_10805 _let_10804 _let_10803 _let_10802 _let_10801 _let_10800 _let_10799 _let_10798 _let_10797 _let_10796 _let_10795 _let_10794 _let_10793 _let_10792 _let_10791 _let_10790 _let_10789 _let_10788 _let_10787 _let_10786 _let_10785 _let_10784 _let_10783 _let_10782 _let_10781 _let_10780 _let_10779 _let_10778 _let_10777 _let_10776 _let_10775 _let_10774 _let_10773 _let_10772 _let_10771 _let_10770 _let_10769 _let_10768 _let_10767 _let_10766 _let_10765 _let_10764 _let_10763 _let_10762 _let_10761 _let_10760 _let_10759 _let_10758 _let_10757 _let_10756 _let_10755 _let_10754 _let_10753 _let_10752 _let_10751 _let_10750 _let_10749 _let_10748 _let_10747 _let_10746 _let_10745 _let_10744 _let_10743 _let_10742 _let_10741 _let_10740 _let_10739 _let_10738 _let_10737 _let_10736 _let_10735 _let_10734 _let_10733 _let_10732 _let_10731 _let_10730 _let_10729 _let_10728 _let_10727 _let_10726 _let_10725 _let_10724 _let_10723 _let_10722 _let_10721 _let_10720 _let_10719 _let_10718 _let_10717 _let_10716 _let_10715 _let_10714 _let_10713 _let_10712 _let_10711 _let_10710 _let_10709 _let_10708 _let_10707 _let_10706 _let_10705 _let_10704 _let_10703 _let_10702 _let_10701 _let_10700 _let_10699 _let_10698 _let_10697 _let_10696 _let_10695 _let_10694 _let_10693 _let_10692 _let_10691 _let_10690 _let_10689 _let_10688 _let_10687 _let_10686 _let_10685 _let_10684 _let_10683 _let_10682 _let_10681 _let_10680 _let_10679 _let_10678 _let_10677 _let_10676 _let_10675 _let_10674 _let_10673 _let_10672 _let_10671 _let_10670 _let_10669 _let_10668 _let_10667 _let_10666 _let_10665 _let_10664 _let_10663 _let_10662 _let_10661 _let_10660 _let_10659 _let_10658 _let_10657 _let_10656 _let_10655 _let_10654 _let_10653 _let_10652 _let_10651 _let_10650 _let_10649 _let_10648 _let_10647 _let_10646 _let_10645 _let_10644 _let_10643 _let_10642 _let_10641 _let_10640 _let_10639 _let_10638 _let_10637 _let_10636 _let_10635 _let_10634 _let_10633 _let_10632 _let_10631 _let_10630 _let_10629 _let_10628 _let_10627 _let_10626 _let_10625 _let_10624 _let_10623 _let_10622 _let_10621 _let_10620 _let_10619 _let_10618 _let_10617 _let_10616 _let_10615 _let_10614 _let_10613 _let_10612 _let_10611 _let_10610 _let_10609 _let_10608 _let_10607 _let_10606 _let_10605 _let_10604 _let_10603 _let_10602 _let_10601 _let_10600 _let_10599 _let_10598 _let_10597 _let_10596 _let_10595 _let_10594 _let_10593 _let_10592 _let_10591 _let_10590 _let_10589 _let_10588 _let_10587 _let_10586 _let_10585 _let_10584 _let_10583 _let_10582 _let_10581 _let_10580 _let_10579 _let_10578 _let_10577 _let_10576 _let_10575 _let_10574 _let_10573 _let_10572 _let_10571 _let_10570 _let_10569 _let_10568 _let_10567 _let_10566 _let_10565 _let_10564 _let_10563 _let_10562 _let_10561 _let_10560 _let_10559 _let_10558 _let_10557 _let_10556 _let_10555 _let_10554 _let_10553 _let_10552 _let_10551 _let_10550 _let_10549 _let_10548 _let_10547 _let_10546 _let_10545 _let_10544 _let_10543 _let_10542 _let_10541 _let_10540 _let_10539 _let_10538 _let_10537 _let_10536 _let_10535 _let_10534 _let_10533 _let_10532 _let_10531 _let_10530 _let_10529 _let_10528 _let_10527 _let_10526 _let_10525 _let_10524 _let_10523 _let_10522 _let_10521 _let_10520 _let_10519 _let_10518 _let_10517 _let_10516 _let_10515 _let_10514 _let_10513 _let_10512 _let_10511 _let_10510 _let_10509 _let_10508 _let_10507 _let_10506 _let_10505 _let_10504 _let_10503 _let_10502 _let_10501 _let_10500 _let_10499 _let_10498 _let_10497 _let_10496 _let_10495 _let_10494 _let_10493 _let_10492 _let_10491 _let_10490 _let_10489 _let_10488 _let_10487 _let_10486 _let_10485 _let_10484 _let_10483 _let_10482 _let_10481 _let_10480 _let_10479 _let_10478 _let_10477 _let_10476 _let_10475 _let_10474 _let_10473 _let_10472 _let_10471 _let_10470 _let_10469 _let_10468 _let_10467 _let_10466 _let_10465 _let_10464 _let_10463 _let_10462 _let_10461 _let_10460 _let_10459 _let_10458 _let_10457 _let_10456 _let_10455 _let_10454 _let_10453 _let_10452 _let_10451 _let_10450 _let_10449 _let_10448 _let_10447 _let_10446 _let_10445 _let_10444 _let_10443 _let_10442 _let_10441 _let_10440 _let_10439 _let_10438 _let_10437 _let_10436 _let_10435 _let_10434 _let_10433 _let_10432 _let_10431 _let_10430 _let_10429 _let_10428 _let_10427 _let_10426 _let_10425 _let_10424 _let_10423 _let_10422 _let_10421 _let_10420 _let_10419 _let_10418 _let_10417 _let_10416 _let_10415 _let_10414 _let_10413 _let_10412 _let_10411 _let_10410 _let_10409 _let_10408 _let_10407 _let_10406 _let_10405 _let_10404 _let_10403 _let_10402 _let_10401 _let_10400 _let_10399 _let_10398 _let_10397 _let_10396 _let_10395 _let_10394 _let_10393 _let_10392 _let_10391 _let_10390 _let_10389 _let_10388 _let_10387 _let_10386 _let_10385 _let_10384 _let_10383 _let_10382 _let_10381 _let_10380 _let_10379 _let_10378 _let_10377 _let_10376 _let_10375 _let_10374 _let_10373 _let_10372 _let_10371 _let_10370 _let_10369 _let_10368 _let_10367 _let_10366 _let_10365 _let_10364 _let_10363 _let_10362 _let_10361 _let_10360 _let_10359 _let_10358 _let_10357 _let_10356 _let_10355 _let_10354 _let_10353 _let_10352 _let_10351 _let_10350 _let_10349 _let_10348 _let_10347 _let_10346 _let_10345 _let_10344 _let_10343 _let_10342 _let_10341 _let_10340 _let_10339 _let_10338 _let_10337 _let_10336 _let_10335 _let_10334 _let_10333 _let_10332 _let_10331 _let_10330 _let_10329 _let_10328 _let_10327 _let_10326 _let_10325 _let_10324 _let_10323 _let_10322 _let_10321 _let_10320 _let_10319 _let_10318 _let_10317 _let_10316 _let_10315 _let_10314 _let_10313 _let_10312 _let_10311 _let_10310 _let_10309 _let_10308 _let_10307 _let_10306 _let_10305 _let_10304 _let_10303 _let_10302 _let_10301 _let_10300 _let_10299 _let_10298 _let_10297 _let_10296 _let_10295 _let_10294 _let_10293 _let_10292 _let_10291 _let_10290 _let_10289 _let_10288 _let_10287 _let_10286 _let_10285 _let_10284 _let_10283 _let_10282 _let_10281 _let_10280 _let_10279 _let_10278 _let_10277 _let_10276 _let_10275 _let_10274 _let_10273 _let_10272 _let_10271 _let_10270 _let_10269 _let_10268 _let_10267 _let_10266 _let_10265 _let_10264 _let_10263 _let_10262 _let_10261 _let_10260 _let_10259 _let_10258 _let_10257 _let_10256 _let_10255 _let_10254 _let_10253 _let_10252 _let_10251 _let_10250 _let_10249 _let_10248 _let_10247 _let_10246 _let_10245 _let_10244 _let_10243 _let_10242 _let_10241 _let_10240 _let_10239 _let_10238 _let_10237 _let_10236 _let_10235 _let_10234 _let_10233 _let_10232 _let_10231 _let_10230 _let_10229 _let_10228 _let_10227 _let_10226 _let_10225 _let_10224 _let_10223 _let_10222 _let_10221 _let_10220 _let_10219 _let_10218 _let_10217 _let_10216 _let_10215 _let_10214 _let_10213 _let_10212 _let_10211 _let_10210 _let_10209 _let_10208 _let_10207 _let_10206 _let_10205 _let_10204 _let_10203 _let_10202 _let_10201 _let_10200 _let_10199 _let_10198 _let_10197 _let_10196 _let_10195 _let_10194 _let_10193 _let_10192 _let_10191 _let_10190 _let_10189 _let_10188 _let_10187 _let_10186 _let_10185 _let_10184 _let_10183 _let_10182 _let_10181 _let_10180 _let_10179 _let_10178 _let_10177 _let_10176 _let_10175 _let_10174 _let_10173 _let_10172 _let_10171 _let_10170 _let_10169 _let_10168 _let_10167 _let_10166 _let_10165 _let_10164 _let_10163 _let_10162 _let_10161 _let_10160 _let_10159 _let_10158 _let_10157 _let_10156 _let_10155 _let_10154 _let_10153 _let_10152 _let_10151 _let_10150 _let_10149 _let_10148 _let_10147 _let_10146 _let_10145 _let_10144 _let_10143 _let_10142 _let_10141 _let_10140 _let_10139 _let_10138 _let_10137 _let_10136 _let_10135 _let_10134 _let_10133 _let_10132 _let_10131 _let_10130 _let_10129 _let_10128 _let_10127 _let_10126 _let_10125 _let_10124 _let_10123 _let_10122 _let_10121 _let_10120 _let_10119 _let_10118 _let_10117 _let_10116 _let_10115 _let_10114 _let_10113 _let_10112 _let_10111 _let_10110 _let_10109 _let_10108 _let_10107 _let_10106 _let_10105 _let_10104 _let_10103 _let_10102 _let_10101 _let_10100 _let_10099 _let_10098 _let_10097 _let_10096 _let_10095 _let_10094 _let_10093 _let_10092 _let_10091 _let_10090 _let_10089 _let_10088 _let_10087 _let_10086 _let_10085 _let_10084 _let_10083 _let_10082 _let_10081 _let_10080 _let_10079 _let_10078 _let_10077 _let_10076 _let_10075 _let_10074 _let_10073 _let_10072 _let_10071 _let_10070 _let_10069 _let_10068 _let_10067 _let_10066 _let_10065 _let_10064 _let_10063 _let_10062 _let_10061 _let_10060 _let_10059 _let_10058 _let_10057 _let_10056 _let_10055 _let_10054 _let_10053 _let_10052 _let_10051 _let_10050 _let_10049 _let_10048 _let_10047 _let_10046 _let_10045 _let_10044 _let_10043 _let_10042 _let_10041 _let_10040 _let_10039 _let_10038 _let_10037 _let_10036 _let_10035 _let_10034 _let_10033 _let_10032 _let_10031 _let_10030 _let_10029 _let_10028 _let_10027 _let_10026 _let_10025 _let_10024 _let_10023 _let_10022 _let_10021 _let_10020 _let_10019 _let_10018 _let_10017 _let_10016 _let_10015 _let_10014 _let_10013 _let_10012 _let_10011 _let_10010 _let_10009 _let_10008 _let_10007 _let_10006 _let_10005 _let_10004 _let_10003 _let_10002 _let_10001 _let_10000 _let_9999 _let_9998 _let_9997 _let_9996 _let_9995 _let_9994 _let_9993 _let_9992 _let_9991 _let_9990 _let_9989 _let_9988 _let_9987 _let_9986 _let_9985 _let_9984 _let_9983 _let_9982 _let_9981 _let_9980 _let_9979 _let_9978 _let_9977 _let_9976 _let_9975 _let_9974 _let_9973 _let_9972 _let_9971 _let_9970 _let_9969 _let_9968 _let_9967 _let_9966 _let_9965 _let_9964 _let_9963 _let_9962 _let_9961 _let_9960 _let_9959 _let_9958 _let_9957 _let_9956 _let_9955 _let_9954 _let_9953 _let_9952 _let_9951 _let_9950 _let_9949 _let_9948 _let_9947 _let_9946 _let_9945 _let_9944 _let_9943 _let_9942 _let_9941 _let_9940 _let_9939 _let_9938 _let_9937 _let_9936 _let_9935 _let_9934 _let_9933 _let_9932 _let_9931 _let_9930 _let_9929 _let_9928 _let_9927 _let_9926 _let_9925 _let_9924 _let_9923 _let_9922 _let_9921 _let_9920 _let_9919 _let_9918 _let_9917 _let_9916 _let_9915 _let_9914 _let_9913 _let_9912 _let_9911 _let_9910 _let_9909 _let_9908 _let_9907 _let_9906 _let_9905 _let_9904 _let_9903 _let_9902 _let_9901 _let_9900 _let_9899 _let_9898 _let_9897 _let_9896 _let_9895 _let_9894 _let_9893 _let_9892 _let_9891 _let_9890 _let_9889 _let_9888 _let_9887 _let_9886 _let_9885 _let_9884 _let_9883 _let_9882 _let_9881 _let_9880 _let_9879 _let_9878 _let_9877 _let_9876 _let_9875 _let_9874 _let_9873 _let_9872 _let_9871 _let_9870 _let_9869 _let_9868 _let_9867 _let_9866 _let_9865 _let_9864 _let_9863 _let_9862 _let_9861 _let_9860 _let_9859 _let_9858 _let_9857 _let_9856 _let_9855 _let_9854 _let_9853 _let_9852 _let_9851 _let_9850 _let_9849 _let_9848 _let_9847 _let_9846 _let_9845 _let_9844 _let_9843 _let_9842 _let_9841 _let_9840 _let_9839 _let_9838 _let_9837 _let_9836 _let_9835 _let_9834 _let_9833 _let_9832 _let_9831 _let_9830 _let_9829 _let_9828 _let_9827 _let_9826 _let_9825 _let_9824 _let_9823 _let_9822 _let_9821 _let_9820 _let_9819 _let_9818 _let_9817 _let_9816 _let_9815 _let_9814 _let_9813 _let_9812 _let_9811 _let_9810 _let_9809 _let_9808 _let_9807 _let_9806 _let_9805 _let_9804 _let_9803 _let_9802 _let_9801 _let_9800 _let_9799 _let_9798 _let_9797 _let_9796 _let_9795 _let_9794 _let_9793 _let_9792 _let_9791 _let_9790 _let_9789 _let_9788 _let_9787 _let_9786 _let_9785 _let_9784 _let_9783 _let_9782 _let_9781 _let_9780 _let_9779 _let_9778 _let_9777 _let_9776 _let_9775 _let_9774 _let_9773 _let_9772 _let_9771 _let_9770 _let_9769 _let_9768 _let_9767 _let_9766 _let_9765 _let_9764 _let_9763 _let_9762 _let_9761 _let_9760 _let_9759 _let_9758 _let_9757 _let_9756 _let_9755 _let_9754 _let_9753 _let_9752 _let_9751 _let_9750 _let_9749 _let_9748 _let_9747 _let_9746 _let_9745 _let_9744 _let_9743 _let_9742 _let_9741 _let_9740 _let_9739 _let_9738 _let_9737 _let_9736 _let_9735 _let_9734 _let_9733 _let_9732 _let_9731 _let_9730 _let_9729 _let_9728 _let_9727 _let_9726 _let_9725 _let_9724 _let_9723 _let_9722 _let_9721 _let_9720 _let_9719 _let_9718 _let_9717 _let_9716 _let_9715 _let_9714 _let_9713 _let_9712 _let_9711 _let_9710 _let_9709 _let_9708 _let_9707 _let_9706 _let_9705 _let_9704 _let_9703 _let_9702 _let_9701 _let_9700 _let_9699 _let_9698 _let_9697 _let_9696 _let_9695 _let_9694 _let_9693 _let_9692 _let_9691 _let_9690 _let_9689 _let_9688 _let_9687 _let_9686 _let_9685 _let_9684 _let_9683 _let_9682 _let_9681 _let_9680 _let_9679 _let_9678 _let_9677 _let_9676 _let_9675 _let_9674 _let_9673 _let_9672 _let_9671 _let_9670 _let_9669 _let_9668 _let_9667 _let_9666 _let_9665 _let_9664 _let_9663 _let_9662 _let_9661 _let_9660 _let_9659 _let_9658 _let_9657 _let_9656 _let_9655 _let_9654 _let_9653 _let_9652 _let_9651 _let_9650 _let_9649 _let_9648 _let_9647 _let_9646 _let_9645 _let_9644 _let_9643 _let_9642 _let_9641 _let_9640 _let_9639 _let_9638 _let_9637 _let_9636 _let_9635 _let_9634 _let_9633 _let_9632 _let_9631 _let_9630 _let_9629 _let_9628 _let_9627 _let_9626 _let_9625 _let_9624 _let_9623 _let_9622 _let_9621 _let_9620 _let_9619 _let_9618 _let_9617 _let_9616 _let_9615 _let_9614 _let_9613 _let_9612 _let_9611 _let_9610 _let_9609 _let_9608 _let_9607 _let_9606 _let_9605 _let_9604 _let_9603 _let_9602 _let_9601 _let_9600 _let_9599 _let_9598 _let_9597 _let_9596 _let_9595 _let_9594 _let_9593 _let_9592 _let_9591 _let_9590 _let_9589 _let_9588 _let_9587 _let_9586 _let_9585 _let_9584 _let_9583 _let_9582 _let_9581 _let_9580 _let_9579 _let_9578 _let_9577 _let_9576 _let_9575 _let_9574 _let_9573 _let_9572 _let_9571 _let_9570 _let_9569 _let_9568 _let_9567 _let_9566 _let_9565 _let_9564 _let_9563 _let_9562 _let_9561 _let_9560 _let_9559 _let_9558 _let_9557 _let_9556 _let_9555 _let_9554 _let_9553 _let_9552 _let_9551 _let_9550 _let_9549 _let_9548 _let_9547 _let_9546 _let_9545 _let_9544 _let_9543 _let_9542 _let_9541 _let_9540 _let_9539 _let_9538 _let_9537 _let_9536 _let_9535 _let_9534 _let_9533 _let_9532 _let_9531 _let_9530 _let_9529 _let_9528 _let_9527 _let_9526 _let_9525 _let_9524 _let_9523 _let_9522 _let_9521 _let_9520 _let_9519 _let_9518 _let_9517 _let_9516 _let_9515 _let_9514 _let_9513 _let_9512 _let_9511 _let_9510 _let_9509 _let_9508 _let_9507 _let_9506 _let_9505 _let_9504 _let_9503 _let_9502 _let_9501 _let_9500 _let_9499 _let_9498 _let_9497 _let_9496 _let_9495 _let_9494 _let_9493 _let_9492 _let_9491 _let_9490 _let_9489 _let_9488 _let_9487 _let_9486 _let_9485 _let_9484 _let_9483 _let_9482 _let_9481 _let_9480 _let_9479 _let_9478 _let_9477 _let_9476 _let_9475 _let_9474 _let_9473 _let_9472 _let_9471 _let_9470 _let_9469 _let_9468 _let_9467 _let_9466 _let_9465 _let_9464 _let_9463 _let_9462 _let_9461 _let_9460 _let_9459 _let_9458 _let_9457 _let_9456 _let_9455 _let_9454 _let_9453 _let_9452 _let_9451 _let_9450 _let_9449 _let_9448 _let_9447 _let_9446 _let_9445 _let_9444 _let_9443 _let_9442 _let_9441 _let_9440 _let_9439 _let_9438 _let_9437 _let_9436 _let_9435 _let_9434 _let_9433 _let_9432 _let_9431 _let_9430 _let_9429 _let_9428 _let_9427 _let_9426 _let_9425 _let_9424 _let_9423 _let_9422 _let_9421 _let_9420 _let_9419 _let_9418 _let_9417 _let_9416 _let_9415 _let_9414 _let_9413 _let_9412 _let_9411 _let_9410 _let_9409 _let_9408 _let_9407 _let_9406 _let_9405 _let_9404 _let_9403 _let_9402 _let_9401 _let_9400 _let_9399 _let_9398 _let_9397 _let_9396 _let_9395 _let_9394 _let_9393 _let_9392 _let_9391 _let_9390 _let_9389 _let_9388 _let_9387 _let_9386 _let_9385 _let_9384 _let_9383 _let_9382 _let_9381 _let_9380 _let_9379 _let_9378 _let_9377 _let_9376 _let_9375 _let_9374 _let_9373 _let_9372 _let_9371 _let_9370 _let_9369 _let_9368 _let_9367 _let_9366 _let_9365 _let_9364 _let_9363 _let_9362 _let_9361 _let_9360 _let_9359 _let_9358 _let_9357 _let_9356 _let_9355 _let_9354 _let_9353 _let_9352 _let_9351 _let_9350 _let_9349 _let_9348 _let_9347 _let_9346 _let_9345 _let_9344 _let_9343 _let_9342 _let_9341 _let_9340 _let_9339 _let_9338 _let_9337 _let_9336 _let_9335 _let_9334 _let_9333 _let_9332 _let_9331 _let_9330 _let_9329 _let_9328 _let_9327 _let_9326 _let_9325 _let_9324 _let_9323 _let_9322 _let_9321 _let_9320 _let_9319 _let_9318 _let_9317 _let_9316 _let_9315 _let_9314 _let_9313 _let_9312 _let_9311 _let_9310 _let_9309 _let_9308 _let_9307 _let_9306 _let_9305 _let_9304 _let_9303 _let_9302 _let_9301 _let_9300 _let_9299 _let_9298 _let_9297 _let_9296 _let_9295 _let_9294 _let_9293 _let_9292 _let_9291 _let_9290 _let_9289 _let_9288 _let_9287 _let_9286 _let_9285 _let_9284 _let_9283 _let_9282 _let_9281 _let_9280 _let_9279 _let_9278 _let_9277 _let_9276 _let_9275 _let_9274 _let_9273 _let_9272 _let_9271 _let_9270 _let_9269 _let_9268 _let_9267 _let_9266 _let_9265 _let_9264 _let_9263 _let_9262 _let_9261 _let_9260 _let_9259 _let_9258 _let_9257 _let_9256 _let_9255 _let_9254 _let_9253 _let_9252 _let_9251 _let_9250 _let_9249 _let_9248 _let_9247 _let_9246 _let_9245 _let_9244 _let_9243 _let_9242 _let_9241 _let_9240 _let_9239 _let_9238 _let_9237 _let_9236 _let_9235 _let_9234 _let_9233 _let_9232 _let_9231 _let_9230 _let_9229 _let_9228 _let_9227 _let_9226 _let_9225 _let_9224 _let_9223 _let_9222 _let_9221 _let_9220 _let_9219 _let_9218 _let_9217 _let_9216 _let_9215 _let_9214 _let_9213 _let_9212 _let_9211 _let_9210 _let_9209 _let_9208 _let_9207 _let_9206 _let_9205 _let_9204 _let_9203 _let_9202 _let_9201 _let_9200 _let_9199 _let_9198 _let_9197 _let_9196 _let_9195 _let_9194 _let_9193 _let_9192 _let_9191 _let_9190 _let_9189 _let_9188 _let_9187 _let_9186 _let_9185 _let_9184 _let_9183 _let_9182 _let_9181 _let_9180 _let_9179 _let_9178 _let_9177 _let_9176 _let_9175 _let_9174 _let_9173 _let_9172 _let_9171 _let_9170 _let_9169 _let_9168 _let_9167 _let_9166 _let_9165 _let_9164 _let_9163 _let_9162 _let_9161 _let_9160 _let_9159 _let_9158 _let_9157 _let_9156 _let_9155 _let_9154 _let_9153 _let_9152 _let_9151 _let_9150 _let_9149 _let_9148 _let_9147 _let_9146 _let_9145 _let_9144 _let_9143 _let_9142 _let_9141 _let_9140 _let_9139 _let_9138 _let_9137 _let_9136 _let_9135 _let_9134 _let_9133 _let_9132 _let_9131 _let_9130 _let_9129 _let_9128 _let_9127 _let_9126 _let_9125 _let_9124 _let_9123 _let_9122 _let_9121 _let_9120 _let_9119 _let_9118 _let_9117 _let_9116 _let_9115 _let_9114 _let_9113 _let_9112 _let_9111 _let_9110 _let_9109 _let_9108 _let_9107 _let_9106 _let_9105 _let_9104 _let_9103 _let_9102 _let_9101 _let_9100 _let_9099 _let_9098 _let_9097 _let_9096 _let_9095 _let_9094 _let_9093 _let_9092 _let_9091 _let_9090 _let_9089 _let_9088 _let_9087 _let_9086 _let_9085 _let_9084 _let_9083 _let_9082 _let_9081 _let_9080 _let_9079 _let_9078 _let_9077 _let_9076 _let_9075 _let_9074 _let_9073 _let_9072 _let_9071 _let_9070 _let_9069 _let_9068 _let_9067 _let_9066 _let_9065 _let_9064 _let_9063 _let_9062 _let_9061 _let_9060 _let_9059 _let_9058 _let_9057 _let_9056 _let_9055 _let_9054 _let_9053 _let_9052 _let_9051 _let_9050 _let_9049 _let_9048 _let_9047 _let_9046 _let_9045 _let_9044 _let_9043 _let_9042 _let_9041 _let_9040 _let_9039 _let_9038 _let_9037 _let_9036 _let_9035 _let_9034 _let_9033 _let_9032 _let_9031 _let_9030 _let_9029 _let_9028 _let_9027 _let_9026 _let_9025 _let_9024 _let_9023 _let_9022 _let_9021 _let_9020 _let_9019 _let_9018 _let_9017 _let_9016 _let_9015 _let_9014 _let_9013 _let_9012 _let_9011 _let_9010 _let_9009 _let_9008 _let_9007 _let_9006 _let_9005 _let_9004 _let_9003 _let_9002 _let_9001 _let_9000 _let_8999 _let_8998 _let_8997 _let_8996 _let_8995 _let_8994 _let_8993 _let_8992 _let_8991 _let_8990 _let_8989 _let_8988 _let_8987 _let_8986 _let_8985 _let_8984 _let_8983 _let_8982 _let_8981 _let_8980 _let_8979 _let_8978 _let_8977 _let_8976 _let_8975 _let_8974 _let_8973 _let_8972 _let_8971 _let_8970 _let_8969 _let_8968 _let_8967 _let_8966 _let_8965 _let_8964 _let_8963 _let_8962 _let_8961 _let_8960 _let_8959 _let_8958 _let_8957 _let_8956 _let_8955 _let_8954 _let_8953 _let_8952 _let_8951 _let_8950 _let_8949 _let_8948 _let_8947 _let_8946 _let_8945 _let_8944 _let_8943 _let_8942 _let_8941 _let_8940 _let_8939 _let_8938 _let_8937 _let_8936 _let_8935 _let_8934 _let_8933 _let_8932 _let_8931 _let_8930 _let_8929 _let_8928 _let_8927 _let_8926 _let_8925 _let_8924 _let_8923 _let_8922 _let_8921 _let_8920 _let_8919 _let_8918 _let_8917 _let_8916 _let_8915 _let_8914 _let_8913 _let_8912 _let_8911 _let_8910 _let_8909 _let_8908 _let_8907 _let_8906 _let_8905 _let_8904 _let_8903 _let_8902 _let_8901 _let_8900 _let_8899 _let_8898 _let_8897 _let_8896 _let_8895 _let_8894 _let_8893 _let_8892 _let_8891 _let_8890 _let_8889 _let_8888 _let_8887 _let_8886 _let_8885 _let_8884 _let_8883 _let_8882 _let_8881 _let_8880 _let_8879 _let_8878 _let_8877 _let_8876 _let_8875 _let_8874 _let_8873 _let_8872 _let_8871 _let_8870 _let_8869 _let_8868 _let_8867 _let_8866 _let_8865 _let_8864 _let_8863 _let_8862 _let_8861 _let_8860 _let_8859 _let_8858 _let_8857 _let_8856 _let_8855 _let_8854 _let_8853 _let_8852 _let_8851 _let_8850 _let_8849 _let_8848 _let_8847 _let_8846 _let_8845 _let_8844 _let_8843 _let_8842 _let_8841 _let_8840 _let_8839 _let_8838 _let_8837 _let_8836 _let_8835 _let_8834 _let_8833 _let_8832 _let_8831 _let_8830 _let_8829 _let_8828 _let_8827 _let_8826 _let_8825 _let_8824 _let_8823 _let_8822 _let_8821 _let_8820 _let_8819 _let_8818 _let_8817 _let_8816 _let_8815 _let_8814 _let_8813 _let_8812 _let_8811 _let_8810 _let_8809 _let_8808 _let_8807 _let_8806 _let_8805 _let_8804 _let_8803 _let_8802 _let_8801 _let_8800 _let_8799 _let_8798 _let_8797 _let_8796 _let_8795 _let_8794 _let_8793 _let_8792 _let_8791 _let_8790 _let_8789 _let_8788 _let_8787 _let_8786 _let_8785 _let_8784 _let_8783 _let_8782 _let_8781 _let_8780 _let_8779 _let_8778 _let_8777 _let_8776 _let_8775 _let_8774 _let_8773 _let_8772 _let_8771 _let_8770 _let_8769 _let_8768 _let_8767 _let_8766 _let_8765 _let_8764 _let_8763 _let_8762 _let_8761 _let_8760 _let_8759 _let_8758 _let_8757 _let_8756 _let_8755 _let_8754 _let_8753 _let_8752 _let_8751 _let_8750 _let_8749 _let_8748 _let_8747 _let_8746 _let_8745 _let_8744 _let_8743 _let_8742 _let_8741 _let_8740 _let_8739 _let_8738 _let_8737 _let_8736 _let_8735 _let_8734 _let_8733 _let_8732 _let_8731 _let_8730 _let_8729 _let_8728 _let_8727 _let_8726 _let_8725 _let_8724 _let_8723 _let_8722 _let_8721 _let_8720 _let_8719 _let_8718 _let_8717 _let_8716 _let_8715 _let_8714 _let_8713 _let_8712 _let_8711 _let_8710 _let_8709 _let_8708 _let_8707 _let_8706 _let_8705 _let_8704 _let_8703 _let_8702 _let_8701 _let_8700 _let_8699 _let_8698 _let_8697 _let_8696 _let_8695 _let_8694 _let_8693 _let_8692 _let_8691 _let_8690 _let_8689 _let_8688 _let_8687 _let_8686 _let_8685 _let_8684 _let_8683 _let_8682 _let_8681 _let_8680 _let_8679 _let_8678 _let_8677 _let_8676 _let_8675 _let_8674 _let_8673 _let_8672 _let_8671 _let_8670 _let_8669 _let_8668 _let_8667 _let_8666 _let_8665 _let_8664 _let_8663 _let_8662 _let_8661 _let_8660 _let_8659 _let_8658 _let_8657 _let_8656 _let_8655 _let_8654 _let_8653 _let_8652 _let_8651 _let_8650 _let_8649 _let_8648 _let_8647 _let_8646 _let_8645 _let_8644 _let_8643 _let_8642 _let_8641 _let_8640 _let_8639 _let_8638 _let_8637 _let_8636 _let_8635 _let_8634 _let_8633 _let_8632 _let_8631 _let_8630 _let_8629 _let_8628 _let_8627 _let_8626 _let_8625 _let_8624 _let_8623 _let_8622 _let_8621 _let_8620 _let_8619 _let_8618 _let_8617 _let_8616 _let_8615 _let_8614 _let_8613 _let_8612 _let_8611 _let_8610 _let_8609 _let_8608 _let_8607 _let_8606 _let_8605 _let_8604 _let_8603 _let_8602 _let_8601 _let_8600 _let_8599 _let_8598 _let_8597 _let_8596 _let_8595 _let_8594 _let_8593 _let_8592 _let_8591 _let_8590 _let_8589 _let_8588 _let_8587 _let_8586 _let_8585 _let_8584 _let_8583 _let_8582 _let_8581 _let_8580 _let_8579 _let_8578 _let_8577 _let_8576 _let_8575 _let_8574 _let_8573 _let_8572 _let_8571 _let_8570 _let_8569 _let_8568 _let_8567 _let_8566 _let_8565 _let_8564 _let_8563 _let_8562 _let_8561 _let_8560 _let_8559 _let_8558 _let_8557 _let_8556 _let_8555 _let_8554 _let_8553 _let_8552 _let_8551 _let_8550 _let_8549 _let_8548 _let_8547 _let_8546 _let_8545 _let_8544 _let_8543 _let_8542 _let_8541 _let_8540 _let_8539 _let_8538 _let_8537 _let_8536 _let_8535 _let_8534 _let_8533 _let_8532 _let_8531 _let_8530 _let_8529 _let_8528 _let_8527 _let_8526 _let_8525 _let_8524 _let_8523 _let_8522 _let_8521 _let_8520 _let_8519 _let_8518 _let_8517 _let_8516 _let_8515 _let_8514 _let_8513 _let_8512 _let_8511 _let_8510 _let_8509 _let_8508 _let_8507 _let_8506 _let_8505 _let_8504 _let_8503 _let_8502 _let_8501 _let_8500 _let_8499 _let_8498 _let_8497 _let_8496 _let_8495 _let_8494 _let_8493 _let_8492 _let_8491 _let_8490 _let_8489 _let_8488 _let_8487 _let_8486 _let_8485 _let_8484 _let_8483 _let_8482 _let_8481 _let_8480 _let_8479 _let_8478 _let_8477 _let_8476 _let_8475 _let_8474 _let_8473 _let_8472 _let_8471 _let_8470 _let_8469 _let_8468 _let_8467 _let_8466 _let_8465 _let_8464 _let_8463 _let_8462 _let_8461 _let_8460 _let_8459 _let_8458 _let_8457 _let_8456 _let_8455 _let_8454 _let_8453 _let_8452 _let_8451 _let_8450 _let_8449 _let_8448 _let_8447 _let_8446 _let_8445 _let_8444 _let_8443 _let_8442 _let_8441 _let_8440 _let_8439 _let_8438 _let_8437 _let_8436 _let_8435 _let_8434 _let_8433 _let_8432 _let_8431 _let_8430 _let_8429 _let_8428 _let_8427 _let_8426 _let_8425 _let_8424 _let_8423 _let_8422 _let_8421 _let_8420 _let_8419 _let_8418 _let_8417 _let_8416 _let_8415 _let_8414 _let_8413 _let_8412 _let_8411 _let_8410 _let_8409 _let_8408 _let_8407 _let_8406 _let_8405 _let_8404 _let_8403 _let_8402 _let_8401 _let_8400 _let_8399 _let_8398 _let_8397 _let_8396 _let_8395 _let_8394 _let_8393 _let_8392 _let_8391 _let_8390 _let_8389 _let_8388 _let_8387 _let_8386 _let_8385 _let_8384 _let_8383 _let_8382 _let_8381 _let_8380 _let_8379 _let_8378 _let_8377 _let_8376 _let_8375 _let_8374 _let_8373 _let_8372 _let_8371 _let_8370 _let_8369 _let_8368 _let_8367 _let_8366 _let_8365 _let_8364 _let_8363 _let_8362 _let_8361 _let_8360 _let_8359 _let_8358 _let_8357 _let_8356 _let_8355 _let_8354 _let_8353 _let_8352 _let_8351 _let_8350 _let_8349 _let_8348 _let_8347 _let_8346 _let_8345 _let_8344 _let_8343 _let_8342 _let_8341 _let_8340 _let_8339 _let_8338 _let_8337 _let_8336 _let_8335 _let_8334 _let_8333 _let_8332 _let_8331 _let_8330 _let_8329 _let_8328 _let_8327 _let_8326 _let_8325 _let_8324 _let_8323 _let_8322 _let_8321 _let_8320 _let_8319 _let_8318 _let_8317 _let_8316 _let_8315 _let_8314 _let_8313 _let_8312 _let_8311 _let_8310 _let_8309 _let_8308 _let_8307 _let_8306 _let_8305 _let_8304 _let_8303 _let_8302 _let_8301 _let_8300 _let_8299 _let_8298 _let_8297 _let_8296 _let_8295 _let_8294 _let_8293 _let_8292 _let_8291 _let_8290 _let_8289 _let_8288 _let_8287 _let_8286 _let_8285 _let_8284 _let_8283 _let_8282 _let_8281 _let_8280 _let_8279 _let_8278 _let_8277 _let_8276 _let_8275 _let_8274 _let_8273 _let_8272 _let_8271 _let_8270 _let_8269 _let_8268 _let_8267 _let_8266 _let_8265 _let_8264 _let_8263 _let_8262 _let_8261 _let_8260 _let_8259 _let_8258 _let_8257 _let_8256 _let_8255 _let_8254 _let_8253 _let_8252 _let_8251 _let_8250 _let_8249 _let_8248 _let_8247 _let_8246 _let_8245 _let_8244 _let_8243 _let_8242 _let_8241 _let_8240 _let_8239 _let_8238 _let_8237 _let_8236 _let_8235 _let_8234 _let_8233 _let_8232 _let_8231 _let_8230 _let_8229 _let_8228 _let_8227 _let_8226 _let_8225 _let_8224 _let_8223 _let_8222 _let_8221 _let_8220 _let_8219 _let_8218 _let_8217 _let_8216 _let_8215 _let_8214 _let_8213 _let_8212 _let_8211 _let_8210 _let_8209 _let_8208 _let_8207 _let_8206 _let_8205 _let_8204 _let_8203 _let_8202 _let_8201 _let_8200 _let_8199 _let_8198 _let_8197 _let_8196 _let_8195 _let_8194 _let_8193 _let_8192 _let_8191 _let_8190 _let_8189 _let_8188 _let_8187 _let_8186 _let_8185 _let_8184 _let_8183 _let_8182 _let_8181 _let_8180 _let_8179 _let_8178 _let_8177 _let_8176 _let_8175 _let_8174 _let_8173 _let_8172 _let_8171 _let_8170 _let_8169 _let_8168 _let_8167 _let_8166 _let_8165 _let_8164 _let_8163 _let_8162 _let_8161 _let_8160 _let_8159 _let_8158 _let_8157 _let_8156 _let_8155 _let_8154 _let_8153 _let_8152 _let_8151 _let_8150 _let_8149 _let_8148 _let_8147 _let_8146 _let_8145 _let_8144 _let_8143 _let_8142 _let_8141 _let_8140 _let_8139 _let_8138 _let_8137 _let_8136 _let_8135 _let_8134 _let_8133 _let_8132 _let_8131 _let_8130 _let_8129 _let_8128 _let_8127 _let_8126 _let_8125 _let_8124 _let_8123 _let_8122 _let_8121 _let_8120 _let_8119 _let_8118 _let_8117 _let_8116 _let_8115 _let_8114 _let_8113 _let_8112 _let_8111 _let_8110 _let_8109 _let_8108 _let_8107 _let_8106 _let_8105 _let_8104 _let_8103 _let_8102 _let_8101 _let_8100 _let_8099 _let_8098 _let_8097 _let_8096 _let_8095 _let_8094 _let_8093 _let_8092 _let_8091 _let_8090 _let_8089 _let_8088 _let_8087 _let_8086 _let_8085 _let_8084 _let_8083 _let_8082 _let_8081 _let_8080 _let_8079 _let_8078 _let_8077 _let_8076 _let_8075 _let_8074 _let_8073 _let_8072 _let_8071 _let_8070 _let_8069 _let_8068 _let_8067 _let_8066 _let_8065 _let_8064 _let_8063 _let_8062 _let_8061 _let_8060 _let_8059 _let_8058 _let_8057 _let_8056 _let_8055 _let_8054 _let_8053 _let_8052 _let_8051 _let_8050 _let_8049 _let_8048 _let_8047 _let_8046 _let_8045 _let_8044 _let_8043 _let_8042 _let_8041 _let_8040 _let_8039 _let_8038 _let_8037 _let_8036 _let_8035 _let_8034 _let_8033 _let_8032 _let_8031 _let_8030 _let_8029 _let_8028 _let_8027 _let_8026 _let_8025 _let_8024 _let_8023 _let_8022 _let_8021 _let_8020 _let_8019 _let_8018 _let_8017 _let_8016 _let_8015 _let_8014 _let_8013 _let_8012 _let_8011 _let_8010 _let_8009 _let_8008 _let_8007 _let_8006 _let_8005 _let_8004 _let_8003 _let_8002 _let_8001 _let_8000 _let_7999 _let_7998 _let_7997 _let_7996 _let_7995 _let_7994 _let_7993 _let_7992 _let_7991 _let_7990 _let_7989 _let_7988 _let_7987 _let_7986 _let_7985 _let_7984 _let_7983 _let_7982 _let_7981 _let_7980 _let_7979 _let_7978 _let_7977 _let_7976 _let_7975 _let_7974 _let_7973 _let_7972 _let_7971 _let_7970 _let_7969 _let_7968 _let_7967 _let_7966 _let_7965 _let_7964 _let_7963 _let_7962 _let_7961 _let_7960 _let_7959 _let_7958 _let_7957 _let_7956 _let_7955 _let_7954 _let_7953 _let_7952 _let_7951 _let_7950 _let_7949 _let_7948 _let_7947 _let_7946 _let_7945 _let_7944 _let_7943 _let_7942 _let_7941 _let_7940 _let_7939 _let_7938 _let_7937 _let_7936 _let_7935 _let_7934 _let_7933 _let_7932 _let_7931 _let_7930 _let_7929 _let_7928 _let_7927 _let_7926 _let_7925 _let_7924 _let_7923 _let_7922 _let_7921 _let_7920 _let_7919 _let_7918 _let_7917 _let_7916 _let_7915 _let_7914 _let_7913 _let_7912 _let_7911 _let_7910 _let_7909 _let_7908 _let_7907 _let_7906 _let_7905 _let_7904 _let_7903 _let_7902 _let_7901 _let_7900 _let_7899 _let_7898 _let_7897 _let_7896 _let_7895 _let_7894 _let_7893 _let_7892 _let_7891 _let_7890 _let_7889 _let_7888 _let_7887 _let_7886 _let_7885 _let_7884 _let_7883 _let_7882 _let_7881 _let_7880 _let_7879 _let_7878 _let_7877 _let_7876 _let_7875 _let_7874 _let_7873 _let_7872 _let_7871 _let_7870 _let_7869 _let_7868 _let_7867 _let_7866 _let_7865 _let_7864 _let_7863 _let_7862 _let_7861 _let_7860 _let_7859 _let_7858 _let_7857 _let_7856 _let_7855 _let_7854 _let_7853 _let_7852 _let_7851 _let_7850 _let_7849 _let_7848 _let_7847 _let_7846 _let_7845 _let_7844 _let_7843 _let_7842 _let_7841 _let_7840 _let_7839 _let_7838 _let_7837 _let_7836 _let_7835 _let_7834 _let_7833 _let_7832 _let_7831 _let_7830 _let_7829 _let_7828 _let_7827 _let_7826 _let_7825 _let_7824 _let_7823 _let_7822 _let_7821 _let_7820 _let_7819 _let_7818 _let_7817 _let_7816 _let_7815 _let_7814 _let_7813 _let_7812 _let_7811 _let_7810 _let_7809 _let_7808 _let_7807 _let_7806 _let_7805 _let_7804 _let_7803 _let_7802 _let_7801 _let_7800 _let_7799 _let_7798 _let_7797 _let_7796 _let_7795 _let_7794 _let_7793 _let_7792 _let_7791 _let_7790 _let_7789 _let_7788 _let_7787 _let_7786 _let_7785 _let_7784 _let_7783 _let_7782 _let_7781 _let_7780 _let_7779 _let_7778 _let_7777 _let_7776 _let_7775 _let_7774 _let_7773 _let_7772 _let_7771 _let_7770 _let_7769 _let_7768 _let_7767 _let_7766 _let_7765 _let_7764 _let_7763 _let_7762 _let_7761 _let_7760 _let_7759 _let_7758 _let_7757 _let_7756 _let_7755 _let_7754 _let_7753 _let_7752 _let_7751 _let_7750 _let_7749 _let_7748 _let_7747 _let_7746 _let_7745 _let_7744 _let_7743 _let_7742 _let_7741 _let_7740 _let_7739 _let_7738 _let_7737 _let_7736 _let_7735 _let_7734 _let_7733 _let_7732 _let_7731 _let_7730 _let_7729 _let_7728 _let_7727 _let_7726 _let_7725 _let_7724 _let_7723 _let_7722 _let_7721 _let_7720 _let_7719 _let_7718 _let_7717 _let_7716 _let_7715 _let_7714 _let_7713 _let_7712 _let_7711 _let_7710 _let_7709 _let_7708 _let_7707 _let_7706 _let_7705 _let_7704 _let_7703 _let_7702 _let_7701 _let_7700 _let_7699 _let_7698 _let_7697 _let_7696 _let_7695 _let_7694 _let_7693 _let_7692 _let_7691 _let_7690 _let_7689 _let_7688 _let_7687 _let_7686 _let_7685 _let_7684 _let_7683 _let_7682 _let_7681 _let_7680 _let_7679 _let_7678 _let_7677 _let_7676 _let_7675 _let_7674 _let_7673 _let_7672 _let_7671 _let_7670 _let_7669 _let_7668 _let_7667 _let_7666 _let_7665 _let_7664 _let_7663 _let_7662 _let_7661 _let_7660 _let_7659 _let_7658 _let_7657 _let_7656 _let_7655 _let_7654 _let_7653 _let_7652 _let_7651 _let_7650 _let_7649 _let_7648 _let_7647 _let_7646 _let_7645 _let_7644 _let_7643 _let_7642 _let_7641 _let_7640 _let_7639 _let_7638 _let_7637 _let_7636 _let_7635 _let_7634 _let_7633 _let_7632 _let_7631 _let_7630 _let_7629 _let_7628 _let_7627 _let_7626 _let_7625 _let_7624 _let_7623 _let_7622 _let_7621 _let_7620 _let_7619 _let_7618 _let_7617 _let_7616 _let_7615 _let_7614 _let_7613 _let_7612 _let_7611 _let_7610 _let_7609 _let_7608 _let_7607 _let_7606 _let_7605 _let_7604 _let_7603 _let_7602 _let_7601 _let_7600 _let_7599 _let_7598 _let_7597 _let_7596 _let_7595 _let_7594 _let_7593 _let_7592 _let_7591 _let_7590 _let_7589 _let_7588 _let_7587 _let_7586 _let_7585 _let_7584 _let_7583 _let_7582 _let_7581 _let_7580 _let_7579 _let_7578 _let_7577 _let_7576 _let_7575 _let_7574 _let_7573 _let_7572 _let_7571 _let_7570 _let_7569 _let_7568 _let_7567 _let_7566 _let_7565 _let_7564 _let_7563 _let_7562 _let_7561 _let_7560 _let_7559 _let_7558 _let_7557 _let_7556 _let_7555 _let_7554 _let_7553 _let_7552 _let_7551 _let_7550 _let_7549 _let_7548 _let_7547 _let_7546 _let_7545 _let_7544 _let_7543 _let_7542 _let_7541 _let_7540 _let_7539 _let_7538 _let_7537 _let_7536 _let_7535 _let_7534 _let_7533 _let_7532 _let_7531 _let_7530 _let_7529 _let_7528 _let_7527 _let_7526 _let_7525 _let_7524 _let_7523 _let_7522 _let_7521 _let_7520 _let_7519 _let_7518 _let_7517 _let_7516 _let_7515 _let_7514 _let_7513 _let_7512 _let_7511 _let_7510 _let_7509 _let_7508 _let_7507 _let_7506 _let_7505 _let_7504 _let_7503 _let_7502 _let_7501 _let_7500 _let_7499 _let_7498 _let_7497 _let_7496 _let_7495 _let_7494 _let_7493 _let_7492 _let_7491 _let_7490 _let_7489 _let_7488 _let_7487 _let_7486 _let_7485 _let_7484 _let_7483 _let_7482 _let_7481 _let_7480 _let_7479 _let_7478 _let_7477 _let_7476 _let_7475 _let_7474 _let_7473 _let_7472 _let_7471 _let_7470 _let_7469 _let_7468 _let_7467 _let_7466 _let_7465 _let_7464 _let_7463 _let_7462 _let_7461 _let_7460 _let_7459 _let_7458 _let_7457 _let_7456 _let_7455 _let_7454 _let_7453 _let_7452 _let_7451 _let_7450 _let_7449 _let_7448 _let_7447 _let_7446 _let_7445 _let_7444 _let_7443 _let_7442 _let_7441 _let_7440 _let_7439 _let_7438 _let_7437 _let_7436 _let_7435 _let_7434 _let_7433 _let_7432 _let_7431 _let_7430 _let_7429 _let_7428 _let_7427 _let_7426 _let_7425 _let_7424 _let_7423 _let_7422 _let_7421 _let_7420 _let_7419 _let_7418 _let_7417 _let_7416 _let_7415 _let_7414 _let_7413 _let_7412 _let_7411 _let_7410 _let_7409 _let_7408 _let_7407 _let_7406 _let_7405 _let_7404 _let_7403 _let_7402 _let_7401 _let_7400 _let_7399 _let_7398 _let_7397 _let_7396 _let_7395 _let_7394 _let_7393 _let_7392 _let_7391 _let_7390 _let_7389 _let_7388 _let_7387 _let_7386 _let_7385 _let_7384 _let_7383 _let_7382 _let_7381 _let_7380 _let_7379 _let_7378 _let_7377 _let_7376 _let_7375 _let_7374 _let_7373 _let_7372 _let_7371 _let_7370 _let_7369 _let_7368 _let_7367 _let_7366 _let_7365 _let_7364 _let_7363 _let_7362 _let_7361 _let_7360 _let_7359 _let_7358 _let_7357 _let_7356 _let_7355 _let_7354 _let_7353 _let_7352 _let_7351 _let_7350 _let_7349 _let_7348 _let_7347 _let_7346 _let_7345 _let_7344 _let_7343 _let_7342 _let_7341 _let_7340 _let_7339 _let_7338 _let_7337 _let_7336 _let_7335 _let_7334 _let_7333 _let_7332 _let_7331 _let_7330 _let_7329 _let_7328 _let_7327 _let_7326 _let_7325 _let_7324 _let_7323 _let_7322 _let_7321 _let_7320 _let_7319 _let_7318 _let_7317 _let_7316 _let_7315 _let_7314 _let_7313 _let_7312 _let_7311 _let_7310 _let_7309 _let_7308 _let_7307 _let_7306 _let_7305 _let_7304 _let_7303 _let_7302 _let_7301 _let_7300 _let_7299 _let_7298 _let_7297 _let_7296 _let_7295 _let_7294 _let_7293 _let_7292 _let_7291 _let_7290 _let_7289 _let_7288 _let_7287 _let_7286 _let_7285 _let_7284 _let_7283 _let_7282 _let_7281 _let_7280 _let_7279 _let_7278 _let_7277 _let_7276 _let_7275 _let_7274 _let_7273 _let_7272 _let_7271 _let_7270 _let_7269 _let_7268 _let_7267 _let_7266 _let_7265 _let_7264 _let_7263 _let_7262 _let_7261 _let_7260 _let_7259 _let_7258 _let_7257 _let_7256 _let_7255 _let_7254 _let_7253 _let_7252 _let_7251 _let_7250 _let_7249 _let_7248 _let_7247 _let_7246 _let_7245 _let_7244 _let_7243 _let_7242 _let_7241 _let_7240 _let_7239 _let_7238 _let_7237 _let_7236 _let_7235 _let_7234 _let_7233 _let_7232 _let_7231 _let_7230 _let_7229 _let_7228 _let_7227 _let_7226 _let_7225 _let_7224 _let_7223 _let_7222 _let_7221 _let_7220 _let_7219 _let_7218 _let_7217 _let_7216 _let_7215 _let_7214 _let_7213 _let_7212 _let_7211 _let_7210 _let_7209 _let_7208 _let_7207 _let_7206 _let_7205 _let_7204 _let_7203 _let_7202 _let_7201 _let_7200 _let_7199 _let_7198 _let_7197 _let_7196 _let_7195 _let_7194 _let_7193 _let_7192 _let_7191 _let_7190 _let_7189 _let_7188 _let_7187 _let_7186 _let_7185 _let_7184 _let_7183 _let_7182 _let_7181 _let_7180 _let_7179 _let_7178 _let_7177 _let_7176 _let_7175 _let_7174 _let_7173 _let_7172 _let_7171 _let_7170 _let_7169 _let_7168 _let_7167 _let_7166 _let_7165 _let_7164 _let_7163 _let_7162 _let_7161 _let_7160 _let_7159 _let_7158 _let_7157 _let_7156 _let_7155 _let_7154 _let_7153 _let_7152 _let_7151 _let_7150 _let_7149 _let_7148 _let_7147 _let_7146 _let_7145 _let_7144 _let_7143 _let_7142 _let_7141 _let_7140 _let_7139 _let_7138 _let_7137 _let_7136 _let_7135 _let_7134 _let_7133 _let_7132 _let_7131 _let_7130 _let_7129 _let_7128 _let_7127 _let_7126 _let_7125 _let_7124 _let_7123 _let_7122 _let_7121 _let_7120 _let_7119 _let_7118 _let_7117 _let_7116 _let_7115 _let_7114 _let_7113 _let_7112 _let_7111 _let_7110 _let_7109 _let_7108 _let_7107 _let_7106 _let_7105 _let_7104 _let_7103 _let_7102 _let_7101 _let_7100 _let_7099 _let_7098 _let_7097 _let_7096 _let_7095 _let_7094 _let_7093 _let_7092 _let_7091 _let_7090 _let_7089 _let_7088 _let_7087 _let_7086 _let_7085 _let_7084 _let_7083 _let_7082 _let_7081 _let_7080 _let_7079 _let_7078 _let_7077 _let_7076 _let_7075 _let_7074 _let_7073 _let_7072 _let_7071 _let_7070 _let_7069 _let_7068 _let_7067 _let_7066 _let_7065 _let_7064 _let_7063 _let_7062 _let_7061 _let_7060 _let_7059 _let_7058 _let_7057 _let_7056 _let_7055 _let_7054 _let_7053 _let_7052 _let_7051 _let_7050 _let_7049 _let_7048 _let_7047 _let_7046 _let_7045 _let_7044 _let_7043 _let_7042 _let_7041 _let_7040 _let_7039 _let_7038 _let_7037 _let_7036 _let_7035 _let_7034 _let_7033 _let_7032 _let_7031 _let_7030 _let_7029 _let_7028 _let_7027 _let_7026 _let_7025 _let_7024 _let_7023 _let_7022 _let_7021 _let_7020 _let_7019 _let_7018 _let_7017 _let_7016 _let_7015 _let_7014 _let_7013 _let_7012 _let_7011 _let_7010 _let_7009 _let_7008 _let_7007 _let_7006 _let_7005 _let_7004 _let_7003 _let_7002 _let_7001 _let_7000 _let_6999 _let_6998 _let_6997 _let_6996 _let_6995 _let_6994 _let_6993 _let_6992 _let_6991 _let_6990 _let_6989 _let_6988 _let_6987 _let_6986 _let_6985 _let_6984 _let_6983 _let_6982 _let_6981 _let_6980 _let_6979 _let_6978 _let_6977 _let_6976 _let_6975 _let_6974 _let_6973 _let_6972 _let_6971 _let_6970 _let_6969 _let_6968 _let_6967 _let_6966 _let_6965 _let_6964 _let_6963 _let_6962 _let_6961 _let_6960 _let_6959 _let_6958 _let_6957 _let_6956 _let_6955 _let_6954 _let_6953 _let_6952 _let_6951 _let_6950 _let_6949 _let_6948 _let_6947 _let_6946 _let_6945 _let_6944 _let_6943 _let_6942 _let_6941 _let_6940 _let_6939 _let_6938 _let_6937 _let_6936 _let_6935 _let_6934 _let_6933 _let_6932 _let_6931 _let_6930 _let_6929 _let_6928 _let_6927 _let_6926 _let_6925 _let_6924 _let_6923 _let_6922 _let_6921 _let_6920 _let_6919 _let_6918 _let_6917 _let_6916 _let_6915 _let_6914 _let_6913 _let_6912 _let_6911 _let_6910 _let_6909 _let_6908 _let_6907 _let_6906 _let_6905 _let_6904 _let_6903 _let_6902 _let_6901 _let_6900 _let_6899 _let_6898 _let_6897 _let_6896 _let_6895 _let_6894 _let_6893 _let_6892 _let_6891 _let_6890 _let_6889 _let_6888 _let_6887 _let_6886 _let_6885 _let_6884 _let_6883 _let_6882 _let_6881 _let_6880 _let_6879 _let_6878 _let_6877 _let_6876 _let_6875 _let_6874 _let_6873 _let_6872 _let_6871 _let_6870 _let_6869 _let_6868 _let_6867 _let_6866 _let_6865 _let_6864 _let_6863 _let_6862 _let_6861 _let_6860 _let_6859 _let_6858 _let_6857 _let_6856 _let_6855 _let_6854 _let_6853 _let_6852 _let_6851 _let_6850 _let_6849 _let_6848 _let_6847 _let_6846 _let_6845 _let_6844 _let_6843 _let_6842 _let_6841 _let_6840 _let_6839 _let_6838 _let_6837 _let_6836 _let_6835 _let_6834 _let_6833 _let_6832 _let_6831 _let_6830 _let_6829 _let_6828 _let_6827 _let_6826 _let_6825 _let_6824 _let_6823 _let_6822 _let_6821 _let_6820 _let_6819 _let_6818 _let_6817 _let_6816 _let_6815 _let_6814 _let_6813 _let_6812 _let_6811 _let_6810 _let_6809 _let_6808 _let_6807 _let_6806 _let_6805 _let_6804 _let_6803 _let_6802 _let_6801 _let_6800 _let_6799 _let_6798 _let_6797 _let_6796 _let_6795 _let_6794 _let_6793 _let_6792 _let_6791 _let_6790 _let_6789 _let_6788 _let_6787 _let_6786 _let_6785 _let_6784 _let_6783 _let_6782 _let_6781 _let_6780 _let_6779 _let_6778 _let_6777 _let_6776 _let_6775 _let_6774 _let_6773 _let_6772 _let_6771 _let_6770 _let_6769 _let_6768 _let_6767 _let_6766 _let_6765 _let_6764 _let_6763 _let_6762 _let_6761 _let_6760 _let_6759 _let_6758 _let_6757 _let_6756 _let_6755 _let_6754 _let_6753 _let_6752 _let_6751 _let_6750 _let_6749 _let_6748 _let_6747 _let_6746 _let_6745 _let_6744 _let_6743 _let_6742 _let_6741 _let_6740 _let_6739 _let_6738 _let_6737 _let_6736 _let_6735 _let_6734 _let_6733 _let_6732 _let_6731 _let_6730 _let_6729 _let_6728 _let_6727 _let_6726 _let_6725 _let_6724 _let_6723 _let_6722 _let_6721 _let_6720 _let_6719 _let_6718 _let_6717 _let_6716 _let_6715 _let_6714 _let_6713 _let_6712 _let_6711 _let_6710 _let_6709 _let_6708 _let_6707 _let_6706 _let_6705 _let_6704 _let_6703 _let_6702 _let_6701 _let_6700 _let_6699 _let_6698 _let_6697 _let_6696 _let_6695 _let_6694 _let_6693 _let_6692 _let_6691 _let_6690 _let_6689 _let_6688 _let_6687 _let_6686 _let_6685 _let_6684 _let_6683 _let_6682 _let_6681 _let_6680 _let_6679 _let_6678 _let_6677 _let_6676 _let_6675 _let_6674 _let_6673 _let_6672 _let_6671 _let_6670 _let_6669 _let_6668 _let_6667 _let_6666 _let_6665 _let_6664 _let_6663 _let_6662 _let_6661 _let_6660 _let_6659 _let_6658 _let_6657 _let_6656 _let_6655 _let_6654 _let_6653 _let_6652 _let_6651 _let_6650 _let_6649 _let_6648 _let_6647 _let_6646 _let_6645 _let_6644 _let_6643 _let_6642 _let_6641 _let_6640 _let_6639 _let_6638 _let_6637 _let_6636 _let_6635 _let_6634 _let_6633 _let_6632 _let_6631 _let_6630 _let_6629 _let_6628 _let_6627 _let_6626 _let_6625 _let_6624 _let_6623 _let_6622 _let_6621 _let_6620 _let_6619 _let_6618 _let_6617 _let_6616 _let_6615 _let_6614 _let_6613 _let_6612 _let_6611 _let_6610 _let_6609 _let_6608 _let_6607 _let_6606 _let_6605 _let_6604 _let_6603 _let_6602 _let_6601 _let_6600 _let_6599 _let_6598 _let_6597 _let_6596 _let_6595 _let_6594 _let_6593 _let_6592 _let_6591 _let_6590 _let_6589 _let_6588 _let_6587 _let_6586 _let_6585 _let_6584 _let_6583 _let_6582 _let_6581 _let_6580 _let_6579 _let_6578 _let_6577 _let_6576 _let_6575 _let_6574 _let_6573 _let_6572 _let_6571 _let_6570 _let_6569 _let_6568 _let_6567 _let_6566 _let_6565 _let_6564 _let_6563 _let_6562 _let_6561 _let_6560 _let_6559 _let_6558 _let_6557 _let_6556 _let_6555 _let_6554 _let_6553 _let_6552 _let_6551 _let_6550 _let_6549 _let_6548 _let_6547 _let_6546 _let_6545 _let_6544 _let_6543 _let_6542 _let_6541 _let_6540 _let_6539 _let_6538 _let_6537 _let_6536 _let_6535 _let_6534 _let_6533 _let_6532 _let_6531 _let_6530 _let_6529 _let_6528 _let_6527 _let_6526 _let_6525 _let_6524 _let_6523 _let_6522 _let_6521 _let_6520 _let_6519 _let_6518 _let_6517 _let_6516 _let_6515 _let_6514 _let_6513 _let_6512 _let_6511 _let_6510 _let_6509 _let_6508 _let_6507 _let_6506 _let_6505 _let_6504 _let_6503 _let_6502 _let_6501 _let_6500 _let_6499 _let_6498 _let_6497 _let_6496 _let_6495 _let_6494 _let_6493 _let_6492 _let_6491 _let_6490 _let_6489 _let_6488 _let_6487 _let_6486 _let_6485 _let_6484 _let_6483 _let_6482 _let_6481 _let_6480 _let_6479 _let_6478 _let_6477 _let_6476 _let_6475 _let_6474 _let_6473 _let_6472 _let_6471 _let_6470 _let_6469 _let_6468 _let_6467 _let_6466 _let_6465 _let_6464 _let_6463 _let_6462 _let_6461 _let_6460 _let_6459 _let_6458 _let_6457 _let_6456 _let_6455 _let_6454 _let_6453 _let_6452 _let_6451 _let_6450 _let_6449 _let_6448 _let_6447 _let_6446 _let_6445 _let_6444 _let_6443 _let_6442 _let_6441 _let_6440 _let_6439 _let_6438 _let_6437 _let_6436 _let_6435 _let_6434 _let_6433 _let_6432 _let_6431 _let_6430 _let_6429 _let_6428 _let_6427 _let_6426 _let_6425 _let_6424 _let_6423 _let_6422 _let_6421 _let_6420 _let_6419 _let_6418 _let_6417 _let_6416 _let_6415 _let_6414 _let_6413 _let_6412 _let_6411 _let_6410 _let_6409 _let_6408 _let_6407 _let_6406 _let_6405 _let_6404 _let_6403 _let_6402 _let_6401 _let_6400 _let_6399 _let_6398 _let_6397 _let_6396 _let_6395 _let_6394 _let_6393 _let_6392 _let_6391 _let_6390 _let_6389 _let_6388 _let_6387 _let_6386 _let_6385 _let_6384 _let_6383 _let_6382 _let_6381 _let_6380 _let_6379 _let_6378 _let_6377 _let_6376 _let_6375 _let_6374 _let_6373 _let_6372 _let_6371 _let_6370 _let_6369 _let_6368 _let_6367 _let_6366 _let_6365 _let_6364 _let_6363 _let_6362 _let_6361 _let_6360 _let_6359 _let_6358 _let_6357 _let_6356 _let_6355 _let_6354 _let_6353 _let_6352 _let_6351 _let_6350 _let_6349 _let_6348 _let_6347 _let_6346 _let_6345 _let_6344 _let_6343 _let_6342 _let_6341 _let_6340 _let_6339 _let_6338 _let_6337 _let_6336 _let_6335 _let_6334 _let_6333 _let_6332 _let_6331 _let_6330 _let_6329 _let_6328 _let_6327 _let_6326 _let_6325 _let_6324 _let_6323 _let_6322 _let_6321 _let_6320 _let_6319 _let_6318 _let_6317 _let_6316 _let_6315 _let_6314 _let_6313 _let_6312 _let_6311 _let_6310 _let_6309 _let_6308 _let_6307 _let_6306 _let_6305 _let_6304 _let_6303 _let_6302 _let_6301 _let_6300 _let_6299 _let_6298 _let_6297 _let_6296 _let_6295 _let_6294 _let_6293 _let_6292 _let_6291 _let_6290 _let_6289 _let_6288 _let_6287 _let_6286 _let_6285 _let_6284 _let_6283 _let_6282 _let_6281 _let_6280 _let_6279 _let_6278 _let_6277 _let_6276 _let_6275 _let_6274 _let_6273 _let_6272 _let_6271 _let_6270 _let_6269 _let_6268 _let_6267 _let_6266 _let_6265 _let_6264 _let_6263 _let_6262 _let_6261 _let_6260 _let_6259 _let_6258 _let_6257 _let_6256 _let_6255 _let_6254 _let_6253 _let_6252 _let_6251 _let_6250 _let_6249 _let_6248 _let_6247 _let_6246 _let_6245 _let_6244 _let_6243 _let_6242 _let_6241 _let_6240 _let_6239 _let_6238 _let_6237 _let_6236 _let_6235 _let_6234 _let_6233 _let_6232 _let_6231 _let_6230 _let_6229 _let_6228 _let_6227 _let_6226 _let_6225 _let_6224 _let_6223 _let_6222 _let_6221 _let_6220 _let_6219 _let_6218 _let_6217 _let_6216 _let_6215 _let_6214 _let_6213 _let_6212 _let_6211 _let_6210 _let_6209 _let_6208 _let_6207 _let_6206 _let_6205 _let_6204 _let_6203 _let_6202 _let_6201 _let_6200 _let_6199 _let_6198 _let_6197 _let_6196 _let_6195 _let_6194 _let_6193 _let_6192 _let_6191 _let_6190 _let_6189 _let_6188 _let_6187 _let_6186 _let_6185 _let_6184 _let_6183 _let_6182 _let_6181 _let_6180 _let_6179 _let_6178 _let_6177 _let_6176 _let_6175 _let_6174 _let_6173 _let_6172 _let_6171 _let_6170 _let_6169 _let_6168 _let_6167 _let_6166 _let_6165 _let_6164 _let_6163 _let_6162 _let_6161 _let_6160 _let_6159 _let_6158 _let_6157 _let_6156 _let_6155 _let_6154 _let_6153 _let_6152 _let_6151 _let_6150 _let_6149 _let_6148 _let_6147 _let_6146 _let_6145 _let_6144 _let_6143 _let_6142 _let_6141 _let_6140 _let_6139 _let_6138 _let_6137 _let_6136 _let_6135 _let_6134 _let_6133 _let_6132 _let_6131 _let_6130 _let_6129 _let_6128 _let_6127 _let_6126 _let_6125 _let_6124 _let_6123 _let_6122 _let_6121 _let_6120 _let_6119 _let_6118 _let_6117 _let_6116 _let_6115 _let_6114 _let_6113 _let_6112 _let_6111 _let_6110 _let_6109 _let_6108 _let_6107 _let_6106 _let_6105 _let_6104 _let_6103 _let_6102 _let_6101 _let_6100 _let_6099 _let_6098 _let_6097 _let_6096 _let_6095 _let_6094 _let_6093 _let_6092 _let_6091 _let_6090 _let_6089 _let_6088 _let_6087 _let_6086 _let_6085 _let_6084 _let_6083 _let_6082 _let_6081 _let_6080 _let_6079 _let_6078 _let_6077 _let_6076 _let_6075 _let_6074 _let_6073 _let_6072 _let_6071 _let_6070 _let_6069 _let_6068 _let_6067 _let_6066 _let_6065 _let_6064 _let_6063 _let_6062 _let_6061 _let_6060 _let_6059 _let_6058 _let_6057 _let_6056 _let_6055 _let_6054 _let_6053 _let_6052 _let_6051 _let_6050 _let_6049 _let_6048 _let_6047 _let_6046 _let_6045 _let_6044 _let_6043 _let_6042 _let_6041 _let_6040 _let_6039 _let_6038 _let_6037 _let_6036 _let_6035 _let_6034 _let_6033 _let_6032 _let_6031 _let_6030 _let_6029 _let_6028 _let_6027 _let_6026 _let_6025 _let_6024 _let_6023 _let_6022 _let_6021 _let_6020 _let_6019 _let_6018 _let_6017 _let_6016 _let_6015 _let_6014 _let_6013 _let_6012 _let_6011 _let_6010 _let_6009 _let_6008 _let_6007 _let_6006 _let_6005 _let_6004 _let_6003 _let_6002 _let_6001 _let_6000 _let_5999 _let_5998 _let_5997 _let_5996 _let_5995 _let_5994 _let_5993 _let_5992 _let_5991 _let_5990 _let_5989 _let_5988 _let_5987 _let_5986 _let_5985 _let_5984 _let_5983 _let_5982 _let_5981 _let_5980 _let_5979 _let_5978 _let_5977 _let_5976 _let_5975 _let_5974 _let_5973 _let_5972 _let_5971 _let_5970 _let_5969 _let_5968 _let_5967 _let_5966 _let_5965 _let_5964 _let_5963 _let_5962 _let_5961 _let_5960 _let_5959 _let_5958 _let_5957 _let_5956 _let_5955 _let_5954 _let_5953 _let_5952 _let_5951 _let_5950 _let_5949 _let_5948 _let_5947 _let_5946 _let_5945 _let_5944 _let_5943 _let_5942 _let_5941 _let_5940 _let_5939 _let_5938 _let_5937 _let_5936 _let_5935 _let_5934 _let_5933 _let_5932 _let_5931 _let_5930 _let_5929 _let_5928 _let_5927 _let_5926 _let_5925 _let_5924 _let_5923 _let_5922 _let_5921 _let_5920 _let_5919 _let_5918 _let_5917 _let_5916 _let_5915 _let_5914 _let_5913 _let_5912 _let_5911 _let_5910 _let_5909 _let_5908 _let_5907 _let_5906 _let_5905 _let_5904 _let_5903 _let_5902 _let_5901 _let_5900 _let_5899 _let_5898 _let_5897 _let_5896 _let_5895 _let_5894 _let_5893 _let_5892 _let_5891 _let_5890 _let_5889 _let_5888 _let_5887 _let_5886 _let_5885 _let_5884 _let_5883 _let_5882 _let_5881 _let_5880 _let_5879 _let_5878 _let_5877 _let_5876 _let_5875 _let_5874 _let_5873 _let_5872 _let_5871 _let_5870 _let_5869 _let_5868 _let_5867 _let_5866 _let_5865 _let_5864 _let_5863 _let_5862 _let_5861 _let_5860 _let_5859 _let_5858 _let_5857 _let_5856 _let_5855 _let_5854 _let_5853 _let_5852 _let_5851 _let_5850 _let_5849 _let_5848 _let_5847 _let_5846 _let_5845 _let_5844 _let_5843 _let_5842 _let_5841 _let_5840 _let_5839 _let_5838 _let_5837 _let_5836 _let_5835 _let_5834 _let_5833 _let_5832 _let_5831 _let_5830 _let_5829 _let_5828 _let_5827 _let_5826 _let_5825 _let_5824 _let_5823 _let_5822 _let_5821 _let_5820 _let_5819 _let_5818 _let_5817 _let_5816 _let_5815 _let_5814 _let_5813 _let_5812 _let_5811 _let_5810 _let_5809 _let_5808 _let_5807 _let_5806 _let_5805 _let_5804 _let_5803 _let_5802 _let_5801 _let_5800 _let_5799 _let_5798 _let_5797 _let_5796 _let_5795 _let_5794 _let_5793 _let_5792 _let_5791 _let_5790 _let_5789 _let_5788 _let_5787 _let_5786 _let_5785 _let_5784 _let_5783 _let_5782 _let_5781 _let_5780 _let_5779 _let_5778 _let_5777 _let_5776 _let_5775 _let_5774 _let_5773 _let_5772 _let_5771 _let_5770 _let_5769 _let_5768 _let_5767 _let_5766 _let_5765 _let_5764 _let_5763 _let_5762 _let_5761 _let_5760 _let_5759 _let_5758 _let_5757 _let_5756 _let_5755 _let_5754 _let_5753 _let_5752 _let_5751 _let_5750 _let_5749 _let_5748 _let_5747 _let_5746 _let_5745 _let_5744 _let_5743 _let_5742 _let_5741 _let_5740 _let_5739 _let_5738 _let_5737 _let_5736 _let_5735 _let_5734 _let_5733 _let_5732 _let_5731 _let_5730 _let_5729 _let_5728 _let_5727 _let_5726 _let_5725 _let_5724 _let_5723 _let_5722 _let_5721 _let_5720 _let_5719 _let_5718 _let_5717 _let_5716 _let_5715 _let_5714 _let_5713 _let_5712 _let_5711 _let_5710 _let_5709 _let_5708 _let_5707 _let_5706 _let_5705 _let_5704 _let_5703 _let_5702 _let_5701 _let_5700 _let_5699 _let_5698 _let_5697 _let_5696 _let_5695 _let_5694 _let_5693 _let_5692 _let_5691 _let_5690 _let_5689 _let_5688 _let_5687 _let_5686 _let_5685 _let_5684 _let_5683 _let_5682 _let_5681 _let_5680 _let_5679 _let_5678 _let_5677 _let_5676 _let_5675 _let_5674 _let_5673 _let_5672 _let_5671 _let_5670 _let_5669 _let_5668 _let_5667 _let_5666 _let_5665 _let_5664 _let_5663 _let_5662 _let_5661 _let_5660 _let_5659 _let_5658 _let_5657 _let_5656 _let_5655 _let_5654 _let_5653 _let_5652 _let_5651 _let_5650 _let_5649 _let_5648 _let_5647 _let_5646 _let_5645 _let_5644 _let_5643 _let_5642 _let_5641 _let_5640 _let_5639 _let_5638 _let_5637 _let_5636 _let_5635 _let_5634 _let_5633 _let_5632 _let_5631 _let_5630 _let_5629 _let_5628 _let_5627 _let_5626 _let_5625 _let_5624 _let_5623 _let_5622 _let_5621 _let_5620 _let_5619 _let_5618 _let_5617 _let_5616 _let_5615 _let_5614 _let_5613 _let_5612 _let_5611 _let_5610 _let_5609 _let_5608 _let_5607 _let_5606 _let_5605 _let_5604 _let_5603 _let_5602 _let_5601 _let_5600 _let_5599 _let_5598 _let_5597 _let_5596 _let_5595 _let_5594 _let_5593 _let_5592 _let_5591 _let_5590 _let_5589 _let_5588 _let_5587 _let_5586 _let_5585 _let_5584 _let_5583 _let_5582 _let_5581 _let_5580 _let_5579 _let_5578 _let_5577 _let_5576 _let_5575 _let_5574 _let_5573 _let_5572 _let_5571 _let_5570 _let_5569 _let_5568 _let_5567 _let_5566 _let_5565 _let_5564 _let_5563 _let_5562 _let_5561 _let_5560 _let_5559 _let_5558 _let_5557 _let_5556 _let_5555 _let_5554 _let_5553 _let_5552 _let_5551 _let_5550 _let_5549 _let_5548 _let_5547 _let_5546 _let_5545 _let_5544 _let_5543 _let_5542 _let_5541 _let_5540 _let_5539 _let_5538 _let_5537 _let_5536 _let_5535 _let_5534 _let_5533 _let_5532 _let_5531 _let_5530 _let_5529 _let_5528 _let_5527 _let_5526 _let_5525 _let_5524 _let_5523 _let_5522 _let_5521 _let_5520 _let_5519 _let_5518 _let_5517 _let_5516 _let_5515 _let_5514 _let_5513 _let_5512 _let_5511 _let_5510 _let_5509 _let_5508 _let_5507 _let_5506 _let_5505 _let_5504 _let_5503 _let_5502 _let_5501 _let_5500 _let_5499 _let_5498 _let_5497 _let_5496 _let_5495 _let_5494 _let_5493 _let_5492 _let_5491 _let_5490 _let_5489 _let_5488 _let_5487 _let_5486 _let_5485 _let_5484 _let_5483 _let_5482 _let_5481 _let_5480 _let_5479 _let_5478 _let_5477 _let_5476 _let_5475 _let_5474 _let_5473 _let_5472 _let_5471 _let_5470 _let_5469 _let_5468 _let_5467 _let_5466 _let_5465 _let_5464 _let_5463 _let_5462 _let_5461 _let_5460 _let_5459 _let_5458 _let_5457 _let_5456 _let_5455 _let_5454 _let_5453 _let_5452 _let_5451 _let_5450 _let_5449 _let_5448 _let_5447 _let_5446 _let_5445 _let_5444 _let_5443 _let_5442 _let_5441 _let_5440 _let_5439 _let_5438 _let_5437 _let_5436 _let_5435 _let_5434 _let_5433 _let_5432 _let_5431 _let_5430 _let_5429 _let_5428 _let_5427 _let_5426 _let_5425 _let_5424 _let_5423 _let_5422 _let_5421 _let_5420 _let_5419 _let_5418 _let_5417 _let_5416 _let_5415 _let_5414 _let_5413 _let_5412 _let_5411 _let_5410 _let_5409 _let_5408 _let_5407 _let_5406 _let_5405 _let_5404 _let_5403 _let_5402 _let_5401 _let_5400 _let_5399 _let_5398 _let_5397 _let_5396 _let_5395 _let_5394 _let_5393 _let_5392 _let_5391 _let_5390 _let_5389 _let_5388 _let_5387 _let_5386 _let_5385 _let_5384 _let_5383 _let_5382 _let_5381 _let_5380 _let_5379 _let_5378 _let_5377 _let_5376 _let_5375 _let_5374 _let_5373 _let_5372 _let_5371 _let_5370 _let_5369 _let_5368 _let_5367 _let_5366 _let_5365 _let_5364 _let_5363 _let_5362 _let_5361 _let_5360 _let_5359 _let_5358 _let_5357 _let_5356 _let_5355 _let_5354 _let_5353 _let_5352 _let_5351 _let_5350 _let_5349 _let_5348 _let_5347 _let_5346 _let_5345 _let_5344 _let_5343 _let_5342 _let_5341 _let_5340 _let_5339 _let_5338 _let_5337 _let_5336 _let_5335 _let_5334 _let_5333 _let_5332 _let_5331 _let_5330 _let_5329 _let_5328 _let_5327 _let_5326 _let_5325 _let_5324 _let_5323 _let_5322 _let_5321 _let_5320 _let_5319 _let_5318 _let_5317 _let_5316 _let_5315 _let_5314 _let_5313 _let_5312 _let_5311 _let_5310 _let_5309 _let_5308 _let_5307 _let_5306 _let_5305 _let_5304 _let_5303 _let_5302 _let_5301 _let_5300 _let_5299 _let_5298 _let_5297 _let_5296 _let_5295 _let_5294 _let_5293 _let_5292 _let_5291 _let_5290 _let_5289 _let_5288 _let_5287 _let_5286 _let_5285 _let_5284 _let_5283 _let_5282 _let_5281 _let_5280 _let_5279 _let_5278 _let_5277 _let_5276 _let_5275 _let_5274 _let_5273 _let_5272 _let_5271 _let_5270 _let_5269 _let_5268 _let_5267 _let_5266 _let_5265 _let_5264 _let_5263 _let_5262 _let_5261 _let_5260 _let_5259 _let_5258 _let_5257 _let_5256 _let_5255 _let_5254 _let_5253 _let_5252 _let_5251 _let_5250 _let_5249 _let_5248 _let_5247 _let_5246 _let_5245 _let_5244 _let_5243 _let_5242 _let_5241 _let_5240 _let_5239 _let_5238 _let_5237 _let_5236 _let_5235 _let_5234 _let_5233 _let_5232 _let_5231 _let_5230 _let_5229 _let_5228 _let_5227 _let_5226 _let_5225 _let_5224 _let_5223 _let_5222 _let_5221 _let_5220 _let_5219 _let_5218 _let_5217 _let_5216 _let_5215 _let_5214 _let_5213 _let_5212 _let_5211 _let_5210 _let_5209 _let_5208 _let_5207 _let_5206 _let_5205 _let_5204 _let_5203 _let_5202 _let_5201 _let_5200 _let_5199 _let_5198 _let_5197 _let_5196 _let_5195 _let_5194 _let_5193 _let_5192 _let_5191 _let_5190 _let_5189 _let_5188 _let_5187 _let_5186 _let_5185 _let_5184 _let_5183 _let_5182 _let_5181 _let_5180 _let_5179 _let_5178 _let_5177 _let_5176 _let_5175 _let_5174 _let_5173 _let_5172 _let_5171 _let_5170 _let_5169 _let_5168 _let_5167 _let_5166 _let_5165 _let_5164 _let_5163 _let_5162 _let_5161 _let_5160 _let_5159 _let_5158 _let_5157 _let_5156 _let_5155 _let_5154 _let_5153 _let_5152 _let_5151 _let_5150 _let_5149 _let_5148 _let_5147 _let_5146 _let_5145 _let_5144 _let_5143 _let_5142 _let_5141 _let_5140 _let_5139 _let_5138 _let_5137 _let_5136 _let_5135 _let_5134 _let_5133 _let_5132 _let_5131 _let_5130 _let_5129 _let_5128 _let_5127 _let_5126 _let_5125 _let_5124 _let_5123 _let_5122 _let_5121 _let_5120 _let_5119 _let_5118 _let_5117 _let_5116 _let_5115 _let_5114 _let_5113 _let_5112 _let_5111 _let_5110 _let_5109 _let_5108 _let_5107 _let_5106 _let_5105 _let_5104 _let_5103 _let_5102 _let_5101 _let_5100 _let_5099 _let_5098 _let_5097 _let_5096 _let_5095 _let_5094 _let_5093 _let_5092 _let_5091 _let_5090 _let_5089 _let_5088 _let_5087 _let_5086 _let_5085 _let_5084 _let_5083 _let_5082 _let_5081 _let_5080 _let_5079 _let_5078 _let_5077 _let_5076 _let_5075 _let_5074 _let_5073 _let_5072 _let_5071 _let_5070 _let_5069 _let_5068 _let_5067 _let_5066 _let_5065 _let_5064 _let_5063 _let_5062 _let_5061 _let_5060 _let_5059 _let_5058 _let_5057 _let_5056 _let_5055 _let_5054 _let_5053 _let_5052 _let_5051 _let_5050 _let_5049 _let_5048 _let_5047 _let_5046 _let_5045 _let_5044 _let_5043 _let_5042 _let_5041 _let_5040 _let_5039 _let_5038 _let_5037 _let_5036 _let_5035 _let_5034 _let_5033 _let_5032 _let_5031 _let_5030 _let_5029 _let_5028 _let_5027 _let_5026 _let_5025 _let_5024 _let_5023 _let_5022 _let_5021 _let_5020 _let_5019 _let_5018 _let_5017 _let_5016 _let_5015 _let_5014 _let_5013 _let_5012 _let_5011 _let_5010 _let_5009 _let_5008 _let_5007 _let_5006 _let_5005 _let_5004 _let_5003 _let_5002 _let_5001 _let_5000 _let_4999 _let_4998 _let_4997 _let_4996 _let_4995 _let_4994 _let_4993 _let_4992 _let_4991 _let_4990 _let_4989 _let_4988 _let_4987 _let_4986 _let_4985 _let_4984 _let_4983 _let_4982 _let_4981 _let_4980 _let_4979 _let_4978 _let_4977 _let_4976 _let_4975 _let_4974 _let_4973 _let_4972 _let_4971 _let_4970 _let_4969 _let_4968 _let_4967 _let_4966 _let_4965 _let_4964 _let_4963 _let_4962 _let_4961 _let_4960 _let_4959 _let_4958 _let_4957 _let_4956 _let_4955 _let_4954 _let_4953 _let_4952 _let_4951 _let_4950 _let_4949 _let_4948 _let_4947 _let_4946 _let_4945 _let_4944 _let_4943 _let_4942 _let_4941 _let_4940 _let_4939 _let_4938 _let_4937 _let_4936 _let_4935 _let_4934 _let_4933 _let_4932 _let_4931 _let_4930 _let_4929 _let_4928 _let_4927 _let_4926 _let_4925 _let_4924 _let_4923 _let_4922 _let_4921 _let_4920 _let_4919 _let_4918 _let_4917 _let_4916 _let_4915 _let_4914 _let_4913 _let_4912 _let_4911 _let_4910 _let_4909 _let_4908 _let_4907 _let_4906 _let_4905 _let_4904 _let_4903 _let_4902 _let_4901 _let_4900 _let_4899 _let_4898 _let_4897 _let_4896 _let_4895 _let_4894 _let_4893 _let_4892 _let_4891 _let_4890 _let_4889 _let_4888 _let_4887 _let_4886 _let_4885 _let_4884 _let_4883 _let_4882 _let_4881 _let_4880 _let_4879 _let_4878 _let_4877 _let_4876 _let_4875 _let_4874 _let_4873 _let_4872 _let_4871 _let_4870 _let_4869 _let_4868 _let_4867 _let_4866 _let_4865 _let_4864 _let_4863 _let_4862 _let_4861 _let_4860 _let_4859 _let_4858 _let_4857 _let_4856 _let_4855 _let_4854 _let_4853 _let_4852 _let_4851 _let_4850 _let_4849 _let_4848 _let_4847 _let_4846 _let_4845 _let_4844 _let_4843 _let_4842 _let_4841 _let_4840 _let_4839 _let_4838 _let_4837 _let_4836 _let_4835 _let_4834 _let_4833 _let_4832 _let_4831 _let_4830 _let_4829 _let_4828 _let_4827 _let_4826 _let_4825 _let_4824 _let_4823 _let_4822 _let_4821 _let_4820 _let_4819 _let_4818 _let_4817 _let_4816 _let_4815 _let_4814 _let_4813 _let_4812 _let_4811 _let_4810 _let_4809 _let_4808 _let_4807 _let_4806 _let_4805 _let_4804 _let_4803 _let_4802 _let_4801 _let_4800 _let_4799 _let_4798 _let_4797 _let_4796 _let_4795 _let_4794 _let_4793 _let_4792 _let_4791 _let_4790 _let_4789 _let_4788 _let_4787 _let_4786 _let_4785 _let_4784 _let_4783 _let_4782 _let_4781 _let_4780 _let_4779 _let_4778 _let_4777 _let_4776 _let_4775 _let_4774 _let_4773 _let_4772 _let_4771 _let_4770 _let_4769 _let_4768 _let_4767 _let_4766 _let_4765 _let_4764 _let_4763 _let_4762 _let_4761 _let_4760 _let_4759 _let_4758 _let_4757 _let_4756 _let_4755 _let_4754 _let_4753 _let_4752 _let_4751 _let_4750 _let_4749 _let_4748 _let_4747 _let_4746 _let_4745 _let_4744 _let_4743 _let_4742 _let_4741 _let_4740 _let_4739 _let_4738 _let_4737 _let_4736 _let_4735 _let_4734 _let_4733 _let_4732 _let_4731 _let_4730 _let_4729 _let_4728 _let_4727 _let_4726 _let_4725 _let_4724 _let_4723 _let_4722 _let_4721 _let_4720 _let_4719 _let_4718 _let_4717 _let_4716 _let_4715 _let_4714 _let_4713 _let_4712 _let_4711 _let_4710 _let_4709 _let_4708 _let_4707 _let_4706 _let_4705 _let_4704 _let_4703 _let_4702 _let_4701 _let_4700 _let_4699 _let_4698 _let_4697 _let_4696 _let_4695 _let_4694 _let_4693 _let_4692 _let_4691 _let_4690 _let_4689 _let_4688 _let_4687 _let_4686 _let_4685 _let_4684 _let_4683 _let_4682 _let_4681 _let_4680 _let_4679 _let_4678 _let_4677 _let_4676 _let_4675 _let_4674 _let_4673 _let_4672 _let_4671 _let_4670 _let_4669 _let_4668 _let_4667 _let_4666 _let_4665 _let_4664 _let_4663 _let_4662 _let_4661 _let_4660 _let_4659 _let_4658 _let_4657 _let_4656 _let_4655 _let_4654 _let_4653 _let_4652 _let_4651 _let_4650 _let_4649 _let_4648 _let_4647 _let_4646 _let_4645 _let_4644 _let_4643 _let_4642 _let_4641 _let_4640 _let_4639 _let_4638 _let_4637 _let_4636 _let_4635 _let_4634 _let_4633 _let_4632 _let_4631 _let_4630 _let_4629 _let_4628 _let_4627 _let_4626 _let_4625 _let_4624 _let_4623 _let_4622 _let_4621 _let_4620 _let_4619 _let_4618 _let_4617 _let_4616 _let_4615 _let_4614 _let_4613 _let_4612 _let_4611 _let_4610 _let_4609 _let_4608 _let_4607 _let_4606 _let_4605 _let_4604 _let_4603 _let_4602 _let_4601 _let_4600 _let_4599 _let_4598 _let_4597 _let_4596 _let_4595 _let_4594 _let_4593 _let_4592 _let_4591 _let_4590 _let_4589 _let_4588 _let_4587 _let_4586 _let_4585 _let_4584 _let_4583 _let_4582 _let_4581 _let_4580 _let_4579 _let_4578 _let_4577 _let_4576 _let_4575 _let_4574 _let_4573 _let_4572 _let_4571 _let_4570 _let_4569 _let_4568 _let_4567 _let_4566 _let_4565 _let_4564 _let_4563 _let_4562 _let_4561 _let_4560 _let_4559 _let_4558 _let_4557 _let_4556 _let_4555 _let_4554 _let_4553 _let_4552 _let_4551 _let_4550 _let_4549 _let_4548 _let_4547 _let_4546 _let_4545 _let_4544 _let_4543 _let_4542 _let_4541 _let_4540 _let_4539 _let_4538 _let_4537 _let_4536 _let_4535 _let_4534 _let_4533 _let_4532 _let_4531 _let_4530 _let_4529 _let_4528 _let_4527 _let_4526 _let_4525 _let_4524 _let_4523 _let_4522 _let_4521 _let_4520 _let_4519 _let_4518 _let_4517 _let_4516 _let_4515 _let_4514 _let_4513 _let_4512 _let_4511 _let_4510 _let_4509 _let_4508 _let_4507 _let_4506 _let_4505 _let_4504 _let_4503 _let_4502 _let_4501 _let_4500 _let_4499 _let_4498 _let_4497 _let_4496 _let_4495 _let_4494 _let_4493 _let_4492 _let_4491 _let_4490 _let_4489 _let_4488 _let_4487 _let_4486 _let_4485 _let_4484 _let_4483 _let_4482 _let_4481 _let_4480 _let_4479 _let_4478 _let_4477 _let_4476 _let_4475 _let_4474 _let_4473 _let_4472 _let_4471 _let_4470 _let_4469 _let_4468 _let_4467 _let_4466 _let_4465 _let_4464 _let_4463 _let_4462 _let_4461 _let_4460 _let_4459 _let_4458 _let_4457 _let_4456 _let_4455 _let_4454 _let_4453 _let_4452 _let_4451 _let_4450 _let_4449 _let_4448 _let_4447 _let_4446 _let_4445 _let_4444 _let_4443 _let_4442 _let_4441 _let_4440 _let_4439 _let_4438 _let_4437 _let_4436 _let_4435 _let_4434 _let_4433 _let_4432 _let_4431 _let_4430 _let_4429 _let_4428 _let_4427 _let_4426 _let_4425 _let_4424 _let_4423 _let_4422 _let_4421 _let_4420 _let_4419 _let_4418 _let_4417 _let_4416 _let_4415 _let_4414 _let_4413 _let_4412 _let_4411 _let_4410 _let_4409 _let_4408 _let_4407 _let_4406 _let_4405 _let_4404 _let_4403 _let_4402 _let_4401 _let_4400 _let_4399 _let_4398 _let_4397 _let_4396 _let_4395 _let_4394 _let_4393 _let_4392 _let_4391 _let_4390 _let_4389 _let_4388 _let_4387 _let_4386 _let_4385 _let_4384 _let_4383 _let_4382 _let_4381 _let_4380 _let_4379 _let_4378 _let_4377 _let_4376 _let_4375 _let_4374 _let_4373 _let_4372 _let_4371 _let_4370 _let_4369 _let_4368 _let_4367 _let_4366 _let_4365 _let_4364 _let_4363 _let_4362 _let_4361 _let_4360 _let_4359 _let_4358 _let_4357 _let_4356 _let_4355 _let_4354 _let_4353 _let_4352 _let_4351 _let_4350 _let_4349 _let_4348 _let_4347 _let_4346 _let_4345 _let_4344 _let_4343 _let_4342 _let_4341 _let_4340 _let_4339 _let_4338 _let_4337 _let_4336 _let_4335 _let_4334 _let_4333 _let_4332 _let_4331 _let_4330 _let_4329 _let_4328 _let_4327 _let_4326 _let_4325 _let_4324 _let_4323 _let_4322 _let_4321 _let_4320 _let_4319 _let_4318 _let_4317 _let_4316 _let_4315 _let_4314 _let_4313 _let_4312 _let_4311 _let_4310 _let_4309 _let_4308 _let_4307 _let_4306 _let_4305 _let_4304 _let_4303 _let_4302 _let_4301 _let_4300 _let_4299 _let_4298 _let_4297 _let_4296 _let_4295 _let_4294 _let_4293 _let_4292 _let_4291 _let_4290 _let_4289 _let_4288 _let_4287 _let_4286 _let_4285 _let_4284 _let_4283 _let_4282 _let_4281 _let_4280 _let_4279 _let_4278 _let_4277 _let_4276 _let_4275 _let_4274 _let_4273 _let_4272 _let_4271 _let_4270 _let_4269 _let_4268 _let_4267 _let_4266 _let_4265 _let_4264 _let_4263 _let_4262 _let_4261 _let_4260 _let_4259 _let_4258 _let_4257 _let_4256 _let_4255 _let_4254 _let_4253 _let_4252 _let_4251 _let_4250 _let_4249 _let_4248 _let_4247 _let_4246 _let_4245 _let_4244 _let_4243 _let_4242 _let_4241 _let_4240 _let_4239 _let_4238 _let_4237 _let_4236 _let_4235 _let_4234 _let_4233 _let_4232 _let_4231 _let_4230 _let_4229 _let_4228 _let_4227 _let_4226 _let_4225 _let_4224 _let_4223 _let_4222 _let_4221 _let_4220 _let_4219 _let_4218 _let_4217 _let_4216 _let_4215 _let_4214 _let_4213 _let_4212 _let_4211 _let_4210 _let_4209 _let_4208 _let_4207 _let_4206 _let_4205 _let_4204 _let_4203 _let_4202 _let_4201 _let_4200 _let_4199 _let_4198 _let_4197 _let_4196 _let_4195 _let_4194 _let_4193 _let_4192 _let_4191 _let_4190 _let_4189 _let_4188 _let_4187 _let_4186 _let_4185 _let_4184 _let_4183 _let_4182 _let_4181 _let_4180 _let_4179 _let_4178 _let_4177 _let_4176 _let_4175 _let_4174 _let_4173 _let_4172 _let_4171 _let_4170 _let_4169 _let_4168 _let_4167 _let_4166 _let_4165 _let_4164 _let_4163 _let_4162 _let_4161 _let_4160 _let_4159 _let_4158 _let_4157 _let_4156 _let_4155 _let_4154 _let_4153 _let_4152 _let_4151 _let_4150 _let_4149 _let_4148 _let_4147 _let_4146 _let_4145 _let_4144 _let_4143 _let_4142 _let_4141 _let_4140 _let_4139 _let_4138 _let_4137 _let_4136 _let_4135 _let_4134 _let_4133 _let_4132 _let_4131 _let_4130 _let_4129 _let_4128 _let_4127 _let_4126 _let_4125 _let_4124 _let_4123 _let_4122 _let_4121 _let_4120 _let_4119 _let_4118 _let_4117 _let_4116 _let_4115 _let_4114 _let_4113 _let_4112 _let_4111 _let_4110 _let_4109 _let_4108 _let_4107 _let_4106 _let_4105 _let_4104 _let_4103 _let_4102 _let_4101 _let_4100 _let_4099 _let_4098 _let_4097 _let_4096 _let_4095 _let_4094 _let_4093 _let_4092 _let_4091 _let_4090 _let_4089 _let_4088 _let_4087 _let_4086 _let_4085 _let_4084 _let_4083 _let_4082 _let_4081 _let_4080 _let_4079 _let_4078 _let_4077 _let_4076 _let_4075 _let_4074 _let_4073 _let_4072 _let_4071 _let_4070 _let_4069 _let_4068 _let_4067 _let_4066 _let_4065 _let_4064 _let_4063 _let_4062 _let_4061 _let_4060 _let_4059 _let_4058 _let_4057 _let_4056 _let_4055 _let_4054 _let_4053 _let_4052 _let_4051 _let_4050 _let_4049 _let_4048 _let_4047 _let_4046 _let_4045 _let_4044 _let_4043 _let_4042 _let_4041 _let_4040 _let_4039 _let_4038 _let_4037 _let_4036 _let_4035 _let_4034 _let_4033 _let_4032 _let_4031 _let_4030 _let_4029 _let_4028 _let_4027 _let_4026 _let_4025 _let_4024 _let_4023 _let_4022 _let_4021 _let_4020 _let_4019 _let_4018 _let_4017 _let_4016 _let_4015 _let_4014 _let_4013 _let_4012 _let_4011 _let_4010 _let_4009 _let_4008 _let_4007 _let_4006 _let_4005 _let_4004 _let_4003 _let_4002 _let_4001 _let_4000 _let_3999 _let_3998 _let_3997 _let_3996 _let_3995 _let_3994 _let_3993 _let_3992 _let_3991 _let_3990 _let_3989 _let_3988 _let_3987 _let_3986 _let_3985 _let_3984 _let_3983 _let_3982 _let_3981 _let_3980 _let_3979 _let_3978 _let_3977 _let_3976 _let_3975 _let_3974 _let_3973 _let_3972 _let_3971 _let_3970 _let_3969 _let_3968 _let_3967 _let_3966 _let_3965 _let_3964 _let_3963 _let_3962 _let_3961 _let_3960 _let_3959 _let_3958 _let_3957 _let_3956 _let_3955 _let_3954 _let_3953 _let_3952 _let_3951 _let_3950 _let_3949 _let_3948 _let_3947 _let_3946 _let_3945 _let_3944 _let_3943 _let_3942 _let_3941 _let_3940 _let_3939 _let_3938 _let_3937 _let_3936 _let_3935 _let_3934 _let_3933 _let_3932 _let_3931 _let_3930 _let_3929 _let_3928 _let_3927 _let_3926 _let_3925 _let_3924 _let_3923 _let_3922 _let_3921 _let_3920 _let_3919 _let_3918 _let_3917 _let_3916 _let_3915 _let_3914 _let_3913 _let_3912 _let_3911 _let_3910 _let_3909 _let_3908 _let_3907 _let_3906 _let_3905 _let_3904 _let_3903 _let_3902 _let_3901 _let_3900 _let_3899 _let_3898 _let_3897 _let_3896 _let_3895 _let_3894 _let_3893 _let_3892 _let_3891 _let_3890 _let_3889 _let_3888 _let_3887 _let_3886 _let_3885 _let_3884 _let_3883 _let_3882 _let_3881 _let_3880 _let_3879 _let_3878 _let_3877 _let_3876 _let_3875 _let_3874 _let_3873 _let_3872 _let_3871 _let_3870 _let_3869 _let_3868 _let_3867 _let_3866 _let_3865 _let_3864 _let_3863 _let_3862 _let_3861 _let_3860 _let_3859 _let_3858 _let_3857 _let_3856 _let_3855 _let_3854 _let_3853 _let_3852 _let_3851 _let_3850 _let_3849 _let_3848 _let_3847 _let_3846 _let_3845 _let_3844 _let_3843 _let_3842 _let_3841 _let_3840 _let_3839 _let_3838 _let_3837 _let_3836 _let_3835 _let_3834 _let_3833 _let_3832 _let_3831 _let_3830 _let_3829 _let_3828 _let_3827 _let_3826 _let_3825 _let_3824 _let_3823 _let_3822 _let_3821 _let_3820 _let_3819 _let_3818 _let_3817 _let_3816 _let_3815 _let_3814 _let_3813 _let_3812 _let_3811 _let_3810 _let_3809 _let_3808 _let_3807 _let_3806 _let_3805 _let_3804 _let_3803 _let_3802 _let_3801 _let_3800 _let_3799 _let_3798 _let_3797 _let_3796 _let_3795 _let_3794 _let_3793 _let_3792 _let_3791 _let_3790 _let_3789 _let_3788 _let_3787 _let_3786 _let_3785 _let_3784 _let_3783 _let_3782 _let_3781 _let_3780 _let_3779 _let_3778 _let_3777 _let_3776 _let_3775 _let_3774 _let_3773 _let_3772 _let_3771 _let_3770 _let_3769 _let_3768 _let_3767 _let_3766 _let_3765 _let_3764 _let_3763 _let_3762 _let_3761 _let_3760 _let_3759 _let_3758 _let_3757 _let_3756 _let_3755 _let_3754 _let_3753 _let_3752 _let_3751 _let_3750 _let_3749 _let_3748 _let_3747 _let_3746 _let_3745 _let_3744 _let_3743 _let_3742 _let_3741 _let_3740 _let_3739 _let_3738 _let_3737 _let_3736 _let_3735 _let_3734 _let_3733 _let_3732 _let_3731 _let_3730 _let_3729 _let_3728 _let_3727 _let_3726 _let_3725 _let_3724 _let_3723 _let_3722 _let_3721 _let_3720 _let_3719 _let_3718 _let_3717 _let_3716 _let_3715 _let_3714 _let_3713 _let_3712 _let_3711 _let_3710 _let_3709 _let_3708 _let_3707 _let_3706 _let_3705 _let_3704 _let_3703 _let_3702 _let_3701 _let_3700 _let_3699 _let_3698 _let_3697 _let_3696 _let_3695 _let_3694 _let_3693 _let_3692 _let_3691 _let_3690 _let_3689 _let_3688 _let_3687 _let_3686 _let_3685 _let_3684 _let_3683 _let_3682 _let_3681 _let_3680 _let_3679 _let_3678 _let_3677 _let_3676 _let_3675 _let_3674 _let_3673 _let_3672 _let_3671 _let_3670 _let_3669 _let_3668 _let_3667 _let_3666 _let_3665 _let_3664 _let_3663 _let_3662 _let_3661 _let_3660 _let_3659 _let_3658 _let_3657 _let_3656 _let_3655 _let_3654 _let_3653 _let_3652 _let_3651 _let_3650 _let_3649 _let_3648 _let_3647 _let_3646 _let_3645 _let_3644 _let_3643 _let_3642 _let_3641 _let_3640 _let_3639 _let_3638 _let_3637 _let_3636 _let_3635 _let_3634 _let_3633 _let_3632 _let_3631 _let_3630 _let_3629 _let_3628 _let_3627 _let_3626 _let_3625 _let_3624 _let_3623 _let_3622 _let_3621 _let_3620 _let_3619 _let_3618 _let_3617 _let_3616 _let_3615 _let_3614 _let_3613 _let_3612 _let_3611 _let_3610 _let_3609 _let_3608 _let_3607 _let_3606 _let_3605 _let_3604 _let_3603 _let_3602 _let_3601 _let_3600 _let_3599 _let_3598 _let_3597 _let_3596 _let_3595 _let_3594 _let_3593 _let_3592 _let_3591 _let_3590 _let_3589 _let_3588 _let_3587 _let_3586 _let_3585 _let_3584 _let_3583 _let_3582 _let_3581 _let_3580 _let_3579 _let_3578 _let_3577 _let_3576 _let_3575 _let_3574 _let_3573 _let_3572 _let_3571 _let_3570 _let_3569 _let_3568 _let_3567 _let_3566 _let_3565 _let_3564 _let_3563 _let_3562 _let_3561 _let_3560 _let_3559 _let_3558 _let_3557 _let_3556 _let_3555 _let_3554 _let_3553 _let_3552 _let_3551 _let_3550 _let_3549 _let_3548 _let_3547 _let_3546 _let_3545 _let_3544 _let_3543 _let_3542 _let_3541 _let_3540 _let_3539 _let_3538 _let_3537 _let_3536 _let_3535 _let_3534 _let_3533 _let_3532 _let_3531 _let_3530 _let_3529 _let_3528 _let_3527 _let_3526 _let_3525 _let_3524 _let_3523 _let_3522 _let_3521 _let_3520 _let_3519 _let_3518 _let_3517 _let_3516 _let_3515 _let_3514 _let_3513 _let_3512 _let_3511 _let_3510 _let_3509 _let_3508 _let_3507 _let_3506 _let_3505 _let_3504 _let_3503 _let_3502 _let_3501 _let_3500 _let_3499 _let_3498 _let_3497 _let_3496 _let_3495 _let_3494 _let_3493 _let_3492 _let_3491 _let_3490 _let_3489 _let_3488 _let_3487 _let_3486 _let_3485 _let_3484 _let_3483 _let_3482 _let_3481 _let_3480 _let_3479 _let_3478 _let_3477 _let_3476 _let_3475 _let_3474 _let_3473 _let_3472 _let_3471 _let_3470 _let_3469 _let_3468 _let_3467 _let_3466 _let_3465 _let_3464 _let_3463 _let_3462 _let_3461 _let_3460 _let_3459 _let_3458 _let_3457 _let_3456 _let_3455 _let_3454 _let_3453 _let_3452 _let_3451 _let_3450 _let_3449 _let_3448 _let_3447 _let_3446 _let_3445 _let_3444 _let_3443 _let_3442 _let_3441 _let_3440 _let_3439 _let_3438 _let_3437 _let_3436 _let_3435 _let_3434 _let_3433 _let_3432 _let_3431 _let_3430 _let_3429 _let_3428 _let_3427 _let_3426 _let_3425 _let_3424 _let_3423 _let_3422 _let_3421 _let_3420 _let_3419 _let_3418 _let_3417 _let_3416 _let_3415 _let_3414 _let_3413 _let_3412 _let_3411 _let_3410 _let_3409 _let_3408 _let_3407 _let_3406 _let_3405 _let_3404 _let_3403 _let_3402 _let_3401 _let_3400 _let_3399 _let_3398 _let_3397 _let_3396 _let_3395 _let_3394 _let_3393 _let_3392 _let_3391 _let_3390 _let_3389 _let_3388 _let_3387 _let_3386 _let_3385 _let_3384 _let_3383 _let_3382 _let_3381 _let_3380 _let_3379 _let_3378 _let_3377 _let_3376 _let_3375 _let_3374 _let_3373 _let_3372 _let_3371 _let_3370 _let_3369 _let_3368 _let_3367 _let_3366 _let_3365 _let_3364 _let_3363 _let_3362 _let_3361 _let_3360 _let_3359 _let_3358 _let_3357 _let_3356 _let_3355 _let_3354 _let_3353 _let_3352 _let_3351 _let_3350 _let_3349 _let_3348 _let_3347 _let_3346 _let_3345 _let_3344 _let_3343 _let_3342 _let_3341 _let_3340 _let_3339 _let_3338 _let_3337 _let_3336 _let_3335 _let_3334 _let_3333 _let_3332 _let_3331 _let_3330 _let_3329 _let_3328 _let_3327 _let_3326 _let_3325 _let_3324 _let_3323 _let_3322 _let_3321 _let_3320 _let_3319 _let_3318 _let_3317 _let_3316 _let_3315 _let_3314 _let_3313 _let_3312 _let_3311 _let_3310 _let_3309 _let_3308 _let_3307 _let_3306 _let_3305 _let_3304 _let_3303 _let_3302 _let_3301 _let_3300 _let_3299 _let_3298 _let_3297 _let_3296 _let_3295 _let_3294 _let_3293 _let_3292 _let_3291 _let_3290 _let_3289 _let_3288 _let_3287 _let_3286 _let_3285 _let_3284 _let_3283 _let_3282 _let_3281 _let_3280 _let_3279 _let_3278 _let_3277 _let_3276 _let_3275 _let_3274 _let_3273 _let_3272 _let_3271 _let_3270 _let_3269 _let_3268 _let_3267 _let_3266 _let_3265 _let_3264 _let_3263 _let_3262 _let_3261 _let_3260 _let_3259 _let_3258 _let_3257 _let_3256 _let_3255 _let_3254 _let_3253 _let_3252 _let_3251 _let_3250 _let_3249 _let_3248 _let_3247 _let_3246 _let_3245 _let_3244 _let_3243 _let_3242 _let_3241 _let_3240 _let_3239 _let_3238 _let_3237 _let_3236 _let_3235 _let_3234 _let_3233 _let_3232 _let_3231 _let_3230 _let_3229 _let_3228 _let_3227 _let_3226 _let_3225 _let_3224 _let_3223 _let_3222 _let_3221 _let_3220 _let_3219 _let_3218 _let_3217 _let_3216 _let_3215 _let_3214 _let_3213 _let_3212 _let_3211 _let_3210 _let_3209 _let_3208 _let_3207 _let_3206 _let_3205 _let_3204 _let_3203 _let_3202 _let_3201 _let_3200 _let_3199 _let_3198 _let_3197 _let_3196 _let_3195 _let_3194 _let_3193 _let_3192 _let_3191 _let_3190 _let_3189 _let_3188 _let_3187 _let_3186 _let_3185 _let_3184 _let_3183 _let_3182 _let_3181 _let_3180 _let_3179 _let_3178 _let_3177 _let_3176 _let_3175 _let_3174 _let_3173 _let_3172 _let_3171 _let_3170 _let_3169 _let_3168 _let_3167 _let_3166 _let_3165 _let_3164 _let_3163 _let_3162 _let_3161 _let_3160 _let_3159 _let_3158 _let_3157 _let_3156 _let_3155 _let_3154 _let_3153 _let_3152 _let_3151 _let_3150 _let_3149 _let_3148 _let_3147 _let_3146 _let_3145 _let_3144 _let_3143 _let_3142 _let_3141 _let_3140 _let_3139 _let_3138 _let_3137 _let_3136 _let_3135 _let_3134 _let_3133 _let_3132 _let_3131 _let_3130 _let_3129 _let_3128 _let_3127 _let_3126 _let_3125 _let_3124 _let_3123 _let_3122 _let_3121 _let_3120 _let_3119 _let_3118 _let_3117 _let_3116 _let_3115 _let_3114 _let_3113 _let_3112 _let_3111 _let_3110 _let_3109 _let_3108 _let_3107 _let_3106 _let_3105 _let_3104 _let_3103 _let_3102 _let_3101 _let_3100 _let_3099 _let_3098 _let_3097 _let_3096 _let_3095 _let_3094 _let_3093 _let_3092 _let_3091 _let_3090 _let_3089 _let_3088 _let_3087 _let_3086 _let_3085 _let_3084 _let_3083 _let_3082 _let_3081 _let_3080 _let_3079 _let_3078 _let_3077 _let_3076 _let_3075 _let_3074 _let_3073 _let_3072 _let_3071 _let_3070 _let_3069 _let_3068 _let_3067 _let_3066 _let_3065 _let_3064 _let_3063 _let_3062 _let_3061 _let_3060 _let_3059 _let_3058 _let_3057 _let_3056 _let_3055 _let_3054 _let_3053 _let_3052 _let_3051 _let_3050 _let_3049 _let_3048 _let_3047 _let_3046 _let_3045 _let_3044 _let_3043 _let_3042 _let_3041 _let_3040 _let_3039 _let_3038 _let_3037 _let_3036 _let_3035 _let_3034 _let_3033 _let_3032 _let_3031 _let_3030 _let_3029 _let_3028 _let_3027 _let_3026 _let_3025 _let_3024 _let_3023 _let_3022 _let_3021 _let_3020 _let_3019 _let_3018 _let_3017 _let_3016 _let_3015 _let_3014 _let_3013 _let_3012 _let_3011 _let_3010 _let_3009 _let_3008 _let_3007 _let_3006 _let_3005 _let_3004 _let_3003 _let_3002 _let_3001 _let_3000 _let_2999 _let_2998 _let_2997 _let_2996 _let_2995 _let_2994 _let_2993 _let_2992 _let_2991 _let_2990 _let_2989 _let_2988 _let_2987 _let_2986 _let_2985 _let_2984 _let_2983 _let_2982 _let_2981 _let_2980 _let_2979 _let_2978 _let_2977 _let_2976 _let_2975 _let_2974 _let_2973 _let_2972 _let_2971 _let_2970 _let_2969 _let_2968 _let_2967 _let_2966 _let_2965 _let_2964 _let_2963 _let_2962 _let_2961 _let_2960 _let_2959 _let_2958 _let_2957 _let_2956 _let_2955 _let_2954 _let_2953 _let_2952 _let_2951 _let_2950 _let_2949 _let_2948 _let_2947 _let_2946 _let_2945 _let_2944 _let_2943 _let_2942 _let_2941 _let_2940 _let_2939 _let_2938 _let_2937 _let_2936 _let_2935 _let_2934 _let_2933 _let_2932 _let_2931 _let_2930 _let_2929 _let_2928 _let_2927 _let_2926 _let_2925 _let_2924 _let_2923 _let_2922 _let_2921 _let_2920 _let_2919 _let_2918 _let_2917 _let_2916 _let_2915 _let_2914 _let_2913 _let_2912 _let_2911 _let_2910 _let_2909 _let_2908 _let_2907 _let_2906 _let_2905 _let_2904 _let_2903 _let_2902 _let_2901 _let_2900 _let_2899 _let_2898 _let_2897 _let_2896 _let_2895 _let_2894 _let_2893 _let_2892 _let_2891 _let_2890 _let_2889 _let_2888 _let_2887 _let_2886 _let_2885 _let_2884 _let_2883 _let_2882 _let_2881 _let_2880 _let_2879 _let_2878 _let_2877 _let_2876 _let_2875 _let_2874 _let_2873 _let_2872 _let_2871 _let_2870 _let_2869 _let_2868 _let_2867 _let_2866 _let_2865 _let_2864 _let_2863 _let_2862 _let_2861 _let_2860 _let_2859 _let_2858 _let_2857 _let_2856 _let_2855 _let_2854 _let_2853 _let_2852 _let_2851 _let_2850 _let_2849 _let_2848 _let_2847 _let_2846 _let_2845 _let_2844 _let_2843 _let_2842 _let_2841 _let_2840 _let_2839 _let_2838 _let_2837 _let_2836 _let_2835 _let_2834 _let_2833 _let_2832 _let_2831 _let_2830 _let_2829 _let_2828 _let_2827 _let_2826 _let_2825 _let_2824 _let_2823 _let_2822 _let_2821 _let_2820 _let_2819 _let_2818 _let_2817 _let_2816 _let_2815 _let_2814 _let_2813 _let_2812 _let_2811 _let_2810 _let_2809 _let_2808 _let_2807 _let_2806 _let_2805 _let_2804 _let_2803 _let_2802 _let_2801 _let_2800 _let_2799 _let_2798 _let_2797 _let_2796 _let_2795 _let_2794 _let_2793 _let_2792 _let_2791 _let_2790 _let_2789 _let_2788 _let_2787 _let_2786 _let_2785 _let_2784 _let_2783 _let_2782 _let_2781 _let_2780 _let_2779 _let_2778 _let_2777 _let_2776 _let_2775 _let_2774 _let_2773 _let_2772 _let_2771 _let_2770 _let_2769 _let_2768 _let_2767 _let_2766 _let_2765 _let_2764 _let_2763 _let_2762 _let_2761 _let_2760 _let_2759 _let_2758 _let_2757 _let_2756 _let_2755 _let_2754 _let_2753 _let_2752 _let_2751 _let_2750 _let_2749 _let_2748 _let_2747 _let_2746 _let_2745 _let_2744 _let_2743 _let_2742 _let_2741 _let_2740 _let_2739 _let_2738 _let_2737 _let_2736 _let_2735 _let_2734 _let_2733 _let_2732 _let_2731 _let_2730 _let_2729 _let_2728 _let_2727 _let_2726 _let_2725 _let_2724 _let_2723 _let_2722 _let_2721 _let_2720 _let_2719 _let_2718 _let_2717 _let_2716 _let_2715 _let_2714 _let_2713 _let_2712 _let_2711 _let_2710 _let_2709 _let_2708 _let_2707 _let_2706 _let_2705 _let_2704 _let_2703 _let_2702 _let_2701 _let_2700 _let_2699 _let_2698 _let_2697 _let_2696 _let_2695 _let_2694 _let_2693 _let_2692 _let_2691 _let_2690 _let_2689 _let_2688 _let_2687 _let_2686 _let_2685 _let_2684 _let_2683 _let_2682 _let_2681 _let_2680 _let_2679 _let_2678 _let_2677 _let_2676 _let_2675 _let_2674 _let_2673 _let_2672 _let_2671 _let_2670 _let_2669 _let_2668 _let_2667 _let_2666 _let_2665 _let_2664 _let_2663 _let_2662 _let_2661 _let_2660 _let_2659 _let_2658 _let_2657 _let_2656 _let_2655 _let_2654 _let_2653 _let_2652 _let_2651 _let_2650 _let_2649 _let_2648 _let_2647 _let_2646 _let_2645 _let_2644 _let_2643 _let_2642 _let_2641 _let_2640 _let_2639 _let_2638 _let_2637 _let_2636 _let_2635 _let_2634 _let_2633 _let_2632 _let_2631 _let_2630 _let_2629 _let_2628 _let_2627 _let_2626 _let_2625 _let_2624 _let_2623 _let_2622 _let_2621 _let_2620 _let_2619 _let_2618 _let_2617 _let_2616 _let_2615 _let_2614 _let_2613 _let_2612 _let_2611 _let_2610 _let_2609 _let_2608 _let_2607 _let_2606 _let_2605 _let_2604 _let_2603 _let_2602 _let_2601 _let_2600 _let_2599 _let_2598 _let_2597 _let_2596 _let_2595 _let_2594 _let_2593 _let_2592 _let_2591 _let_2590 _let_2589 _let_2588 _let_2587 _let_2586 _let_2585 _let_2584 _let_2583 _let_2582 _let_2581 _let_2580 _let_2579 _let_2578 _let_2577 _let_2576 _let_2575 _let_2574 _let_2573 _let_2572 _let_2571 _let_2570 _let_2569 _let_2568 _let_2567 _let_2566 _let_2565 _let_2564 _let_2563 _let_2562 _let_2561 _let_2560 _let_2559 _let_2558 _let_2557 _let_2556 _let_2555 _let_2554 _let_2553 _let_2552 _let_2551 _let_2550 _let_2549 _let_2548 _let_2547 _let_2546 _let_2545 _let_2544 _let_2543 _let_2542 _let_2541 _let_2540 _let_2539 _let_2538 _let_2537 _let_2536 _let_2535 _let_2534 _let_2533 _let_2532 _let_2531 _let_2530 _let_2529 _let_2528 _let_2527 _let_2526 _let_2525 _let_2524 _let_2523 _let_2522 _let_2521 _let_2520 _let_2519 _let_2518 _let_2517 _let_2516 _let_2515 _let_2514 _let_2513 _let_2512 _let_2511 _let_2510 _let_2509 _let_2508 _let_2507 _let_2506 _let_2505 _let_2504 _let_2503 _let_2502 _let_2501 _let_2500 _let_2499 _let_2498 _let_2497 _let_2496 _let_2495 _let_2494 _let_2493 _let_2492 _let_2491 _let_2490 _let_2489 _let_2488 _let_2487 _let_2486 _let_2485 _let_2484 _let_2483 _let_2482 _let_2481 _let_2480 _let_2479 _let_2478 _let_2477 _let_2476 _let_2475 _let_2474 _let_2473 _let_2472 _let_2471 _let_2470 _let_2469 _let_2468 _let_2467 _let_2466 _let_2465 _let_2464 _let_2463 _let_2462 _let_2461 _let_2460 _let_2459 _let_2458 _let_2457 _let_2456 _let_2455 _let_2454 _let_2453 _let_2452 _let_2451 _let_2450 _let_2449 _let_2448 _let_2447 _let_2446 _let_2445 _let_2444 _let_2443 _let_2442 _let_2441 _let_2440 _let_2439 _let_2438 _let_2437 _let_2436 _let_2435 _let_2434 _let_2433 _let_2432 _let_2431 _let_2430 _let_2429 _let_2428 _let_2427 _let_2426 _let_2425 _let_2424 _let_2423 _let_2422 _let_2421 _let_2420 _let_2419 _let_2418 _let_2417 _let_2416 _let_2415 _let_2414 _let_2413 _let_2412 _let_2411 _let_2410 _let_2409 _let_2408 _let_2407 _let_2406 _let_2405 _let_2404 _let_2403 _let_2402 _let_2401 _let_2400 _let_2399 _let_2398 _let_2397 _let_2396 _let_2395 _let_2394 _let_2393 _let_2392 _let_2391 _let_2390 _let_2389 _let_2388 _let_2387 _let_2386 _let_2385 _let_2384 _let_2383 _let_2382 _let_2381 _let_2380 _let_2379 _let_2378 _let_2377 _let_2376 _let_2375 _let_2374 _let_2373 _let_2372 _let_2371 _let_2370 _let_2369 _let_2368 _let_2367 _let_2366 _let_2365 _let_2364 _let_2363 _let_2362 _let_2361 _let_2360 _let_2359 _let_2358 _let_2357 _let_2356 _let_2355 _let_2354 _let_2353 _let_2352 _let_2351 _let_2350 _let_2349 _let_2348 _let_2347 _let_2346 _let_2345 _let_2344 _let_2343 _let_2342 _let_2341 _let_2340 _let_2339 _let_2338 _let_2337 _let_2336 _let_2335 _let_2334 _let_2333 _let_2332 _let_2331 _let_2330 _let_2329 _let_2328 _let_2327 _let_2326 _let_2325 _let_2324 _let_2323 _let_2322 _let_2321 _let_2320 _let_2319 _let_2318 _let_2317 _let_2316 _let_2315 _let_2314 _let_2313 _let_2312 _let_2311 _let_2310 _let_2309 _let_2308 _let_2307 _let_2306 _let_2305 _let_2304 _let_2303 _let_2302 _let_2301 _let_2300 _let_2299 _let_2298 _let_2297 _let_2296 _let_2295 _let_2294 _let_2293 _let_2292 _let_2291 _let_2290 _let_2289 _let_2288 _let_2287 _let_2286 _let_2285 _let_2284 _let_2283 _let_2282 _let_2281 _let_2280 _let_2279 _let_2278 _let_2277 _let_2276 _let_2275 _let_2274 _let_2273 _let_2272 _let_2271 _let_2270 _let_2269 _let_2268 _let_2267 _let_2266 _let_2265 _let_2264 _let_2263 _let_2262 _let_2261 _let_2260 _let_2259 _let_2258 _let_2257 _let_2256 _let_2255 _let_2254 _let_2253 _let_2252 _let_2251 _let_2250 _let_2249 _let_2248 _let_2247 _let_2246 _let_2245 _let_2244 _let_2243 _let_2242 _let_2241 _let_2240 _let_2239 _let_2238 _let_2237 _let_2236 _let_2235 _let_2234 _let_2233 _let_2232 _let_2231 _let_2230 _let_2229 _let_2228 _let_2227 _let_2226 _let_2225 _let_2224 _let_2223 _let_2222 _let_2221 _let_2220 _let_2219 _let_2218 _let_2217 _let_2216 _let_2215 _let_2214 _let_2213 _let_2212 _let_2211 _let_2210 _let_2209 _let_2208 _let_2207 _let_2206 _let_2205 _let_2204 _let_2203 _let_2202 _let_2201 _let_2200 _let_2199 _let_2198 _let_2197 _let_2196 _let_2195 _let_2194 _let_2193 _let_2192 _let_2191 _let_2190 _let_2189 _let_2188 _let_2187 _let_2186 _let_2185 _let_2184 _let_2183 _let_2182 _let_2181 _let_2180 _let_2179 _let_2178 _let_2177 _let_2176 _let_2175 _let_2174 _let_2173 _let_2172 _let_2171 _let_2170 _let_2169 _let_2168 _let_2167 _let_2166 _let_2165 _let_2164 _let_2163 _let_2162 _let_2161 _let_2160 _let_2159 _let_2158 _let_2157 _let_2156 _let_2155 _let_2154 _let_2153 _let_2152 _let_2151 _let_2150 _let_2149 _let_2148 _let_2147 _let_2146 _let_2145 _let_2144 _let_2143 _let_2142 _let_2141 _let_2140 _let_2139 _let_2138 _let_2137 _let_2136 _let_2135 _let_2134 _let_2133 _let_2132 _let_2131 _let_2130 _let_2129 _let_2128 _let_2127 _let_2126 _let_2125 _let_2124 _let_2123 _let_2122 _let_2121 _let_2120 _let_2119 _let_2118 _let_2117 _let_2116 _let_2115 _let_2114 _let_2113 _let_2112 _let_2111 _let_2110 _let_2109 _let_2108 _let_2107 _let_2106 _let_2105 _let_2104 _let_2103 _let_2102 _let_2101 _let_2100 _let_2099 _let_2098 _let_2097 _let_2096 _let_2095 _let_2094 _let_2093 _let_2092 _let_2091 _let_2090 _let_2089 _let_2088 _let_2087 _let_2086 _let_2085 _let_2084 _let_2083 _let_2082 _let_2081 _let_2080 _let_2079 _let_2078 _let_2077 _let_2076 _let_2075 _let_2074 _let_2073 _let_2072 _let_2071 _let_2070 _let_2069 _let_2068 _let_2067 _let_2066 _let_2065 _let_2064 _let_2063 _let_2062 _let_2061 _let_2060 _let_2059 _let_2058 _let_2057 _let_2056 _let_2055 _let_2054 _let_2053 _let_2052 _let_2051 _let_2050 _let_2049 _let_2048 _let_2047 _let_2046 _let_2045 _let_2044 _let_2043 _let_2042 _let_2041 _let_2040 _let_2039 _let_2038 _let_2037 _let_2036 _let_2035 _let_2034 _let_2033 _let_2032 _let_2031 _let_2030 _let_2029 _let_2028 _let_2027 _let_2026 _let_2025 _let_2024 _let_2023 _let_2022 _let_2021 _let_2020 _let_2019 _let_2018 _let_2017 _let_2016 _let_2015 _let_2014 _let_2013 _let_2012 _let_2011 _let_2010 _let_2009 _let_2008 _let_2007 _let_2006 _let_2005 _let_2004 _let_2003 _let_2002 _let_2001 _let_2000 _let_1999 _let_1998 _let_1997 _let_1996 _let_1995 _let_1994 _let_1993 _let_1992 _let_1991 _let_1990 _let_1989 _let_1988 _let_1987 _let_1986 _let_1985 _let_1984 _let_1983 _let_1982 _let_1981 _let_1980 _let_1979 _let_1978 _let_1977 _let_1976 _let_1975 _let_1974 _let_1973 _let_1972 _let_1971 _let_1970 _let_1969 _let_1968 _let_1967 _let_1966 _let_1965 _let_1964 _let_1963 _let_1962 _let_1961 _let_1960 _let_1959 _let_1958 _let_1957 _let_1956 _let_1955 _let_1954 _let_1953 _let_1952 _let_1951 _let_1950 _let_1949 _let_1948 _let_1947 _let_1946 _let_1945 _let_1944 _let_1943 _let_1942 _let_1941 _let_1940 _let_1939 _let_1938 _let_1937 _let_1936 _let_1935 _let_1934 _let_1933 _let_1932 _let_1931 _let_1930 _let_1929 _let_1928 _let_1927 _let_1926 _let_1925 _let_1924 _let_1923 _let_1922 _let_1921 _let_1920 _let_1919 _let_1918 _let_1917 _let_1916 _let_1915 _let_1914 _let_1913 _let_1912 _let_1911 _let_1910 _let_1909 _let_1908 _let_1907 _let_1906 _let_1905 _let_1904 _let_1903 _let_1902 _let_1901 _let_1900 _let_1899 _let_1898 _let_1897 _let_1896 _let_1895 _let_1894 _let_1893 _let_1892 _let_1891 _let_1890 _let_1889 _let_1888 _let_1887 _let_1886 _let_1885 _let_1884 _let_1883 _let_1882 _let_1881 _let_1880 _let_1879 _let_1878 _let_1877 _let_1876 _let_1875 _let_1874 _let_1873 _let_1872 _let_1871 _let_1870 _let_1869 _let_1868 _let_1867 _let_1866 _let_1865 _let_1864 _let_1863 _let_1862 _let_1861 _let_1860 _let_1859 _let_1858 _let_1857 _let_1856 _let_1855 _let_1854 _let_1853 _let_1852 _let_1851 _let_1850 _let_1849 _let_1848 _let_1847 _let_1846 _let_1845 _let_1844 _let_1843 _let_1842 _let_1841 _let_1840 _let_1839 _let_1838 _let_1837 _let_1836 _let_1835 _let_1834 _let_1833 _let_1832 _let_1831 _let_1830 _let_1829 _let_1828 _let_1827 _let_1826 _let_1825 _let_1824 _let_1823 _let_1822 _let_1821 _let_1820 _let_1819 _let_1818 _let_1817 _let_1816 _let_1815 _let_1814 _let_1813 _let_1812 _let_1811 _let_1810 _let_1809 _let_1808 _let_1807 _let_1806 _let_1805 _let_1804 _let_1803 _let_1802 _let_1801 _let_1800 _let_1799 _let_1798 _let_1797 _let_1796 _let_1795 _let_1794 _let_1793 _let_1792 _let_1791 _let_1790 _let_1789 _let_1788 _let_1787 _let_1786 _let_1785 _let_1784 _let_1783 _let_1782 _let_1781 _let_1780 _let_1779 _let_1778 _let_1777 _let_1776 _let_1775 _let_1774 _let_1773 _let_1772 _let_1771 _let_1770 _let_1769 _let_1768 _let_1767 _let_1766 _let_1765 _let_1764 _let_1763 _let_1762 _let_1761 _let_1760 _let_1759 _let_1758 _let_1757 _let_1756 _let_1755 _let_1754 _let_1753 _let_1752 _let_1751 _let_1750 _let_1749 _let_1748 _let_1747 _let_1746 _let_1745 _let_1744 _let_1743 _let_1742 _let_1741 _let_1740 _let_1739 _let_1738 _let_1737 _let_1736 _let_1735 _let_1734 _let_1733 _let_1732 _let_1731 _let_1730 _let_1729 _let_1728 _let_1727 _let_1726 _let_1725 _let_1724 _let_1723 _let_1722 _let_1721 _let_1720 _let_1719 _let_1718 _let_1717 _let_1716 _let_1715 _let_1714 _let_1713 _let_1712 _let_1711 _let_1710 _let_1709 _let_1708 _let_1707 _let_1706 _let_1705 _let_1704 _let_1703 _let_1702 _let_1701 _let_1700 _let_1699 _let_1698 _let_1697 _let_1696 _let_1695 _let_1694 _let_1693 _let_1692 _let_1691 _let_1690 _let_1689 _let_1688 _let_1687 _let_1686 _let_1685 _let_1684 _let_1683 _let_1682 _let_1681 _let_1680 _let_1679 _let_1678 _let_1677 _let_1676 _let_1675 _let_1674 _let_1673 _let_1672 _let_1671 _let_1670 _let_1669 _let_1668 _let_1667 _let_1666 _let_1665 _let_1664 _let_1663 _let_1662 _let_1661 _let_1660 _let_1659 _let_1658 _let_1657 _let_1656 _let_1655 _let_1654 _let_1653 _let_1652 _let_1651 _let_1650 _let_1649 _let_1648 _let_1647 _let_1646 _let_1645 _let_1644 _let_1643 _let_1642 _let_1641 _let_1640 _let_1639 _let_1638 _let_1637 _let_1636 _let_1635 _let_1634 _let_1633 _let_1632 _let_1631 _let_1630 _let_1629 _let_1628 _let_1627 _let_1626 _let_1625 _let_1624 _let_1623 _let_1622 _let_1621 _let_1620 _let_1619 _let_1618 _let_1617 _let_1616 _let_1615 _let_1614 _let_1613 _let_1612 _let_1611 _let_1610 _let_1609 _let_1608 _let_1607 _let_1606 _let_1605 _let_1604 _let_1603 _let_1602 _let_1601 _let_1600 _let_1599 _let_1598 _let_1597 _let_1596 _let_1595 _let_1594 _let_1593 _let_1592 _let_1591 _let_1590 _let_1589 _let_1588 _let_1587 _let_1586 _let_1585 _let_1584 _let_1583 _let_1582 _let_1581 _let_1580 _let_1579 _let_1578 _let_1577 _let_1576 _let_1575 _let_1574 _let_1573 _let_1572 _let_1571 _let_1570 _let_1569 _let_1568 _let_1567 _let_1566 _let_1565 _let_1564 _let_1563 _let_1562 _let_1561 _let_1560 _let_1559 _let_1558 _let_1557 _let_1556 _let_1555 _let_1554 _let_1553 _let_1552 _let_1551 _let_1550 _let_1549 _let_1548 _let_1547 _let_1546 _let_1545 _let_1544 _let_1543 _let_1542 _let_1541 _let_1540 _let_1539 _let_1538 _let_1537 _let_1536 _let_1535 _let_1534 _let_1533 _let_1532 _let_1531 _let_1530 _let_1529 _let_1528 _let_1527 _let_1526 _let_1525 _let_1524 _let_1523 _let_1522 _let_1521 _let_1520 _let_1519 _let_1518 _let_1517 _let_1516 _let_1515 _let_1514 _let_1513 _let_1512 _let_1511 _let_1510 _let_1509 _let_1508 _let_1507 _let_1506 _let_1505 _let_1504 _let_1503 _let_1502 _let_1501 _let_1500 _let_1499 _let_1498 _let_1497 _let_1496 _let_1495 _let_1494 _let_1493 _let_1492 _let_1491 _let_1490 _let_1489 _let_1488 _let_1487 _let_1486 _let_1485 _let_1484 _let_1483 _let_1482 _let_1481 _let_1480 _let_1479 _let_1478 _let_1477 _let_1476 _let_1475 _let_1474 _let_1473 _let_1472 _let_1471 _let_1470 _let_1469 _let_1468 _let_1467 _let_1466 _let_1465 _let_1464 _let_1463 _let_1462 _let_1461 _let_1460 _let_1459 _let_1458 _let_1457 _let_1456 _let_1455 _let_1454 _let_1453 _let_1452 _let_1451 _let_1450 _let_1449 _let_1448 _let_1447 _let_1446 _let_1445 _let_1444 _let_1443 _let_1442 _let_1441 _let_1440 _let_1439 _let_1438 _let_1437 _let_1436 _let_1435 _let_1434 _let_1433 _let_1432 _let_1431 _let_1430 _let_1429 _let_1428 _let_1427 _let_1426 _let_1425 _let_1424 _let_1423 _let_1422 _let_1421 _let_1420 _let_1419 _let_1418 _let_1417 _let_1416 _let_1415 _let_1414 _let_1413 _let_1412 _let_1411 _let_1410 _let_1409 _let_1408 _let_1407 _let_1406 _let_1405 _let_1404 _let_1403 _let_1402 _let_1401 _let_1400 _let_1399 _let_1398 _let_1397 _let_1396 _let_1395 _let_1394 _let_1393 _let_1392 _let_1391 _let_1390 _let_1389 _let_1388 _let_1387 _let_1386 _let_1385 _let_1384 _let_1383 _let_1382 _let_1381 _let_1380 _let_1379 _let_1378 _let_1377 _let_1376 _let_1375 _let_1374 _let_1373 _let_1372 _let_1371 _let_1370 _let_1369 _let_1368 _let_1367 _let_1366 _let_1365 _let_1364 _let_1363 _let_1362 _let_1361 _let_1360 _let_1359 _let_1358 _let_1357 _let_1356 _let_1355 _let_1354 _let_1353 _let_1352 _let_1351 _let_1350 _let_1349 _let_1348 _let_1347 _let_1346 _let_1345 _let_1344 _let_1343 _let_1342 _let_1341 _let_1340 _let_1339 _let_1338 _let_1337 _let_1336 _let_1335 _let_1334 _let_1333 _let_1332 _let_1331 _let_1330 _let_1329 _let_1328 _let_1327 _let_1326 _let_1325 _let_1324 _let_1323 _let_1322 _let_1321 _let_1320 _let_1319 _let_1318 _let_1317 _let_1316 _let_1315 _let_1314 _let_1313 _let_1312 _let_1311 _let_1310 _let_1309 _let_1308 _let_1307 _let_1306 _let_1305 _let_1304 _let_1303 _let_1302 _let_1301 _let_1300 _let_1299 _let_1298 _let_1297 _let_1296 _let_1295 _let_1294 _let_1293 _let_1292 _let_1291 _let_1290 _let_1289 _let_1288 _let_1287 _let_1286 _let_1285 _let_1284 _let_1283 _let_1282 _let_1281 _let_1280 _let_1279 _let_1278 _let_1277 _let_1276 _let_1275 _let_1274 _let_1273 _let_1272 _let_1271 _let_1270 _let_1269 _let_1268 _let_1267 _let_1266 _let_1265 _let_1264 _let_1263 _let_1262 _let_1261 _let_1260 _let_1259 _let_1258 _let_1257 _let_1256 _let_1255 _let_1254 _let_1253 _let_1252 _let_1251 _let_1250 _let_1249 _let_1248 _let_1247 _let_1246 _let_1245 _let_1244 _let_1243 _let_1242 _let_1241 _let_1240 _let_1239 _let_1238 _let_1237 _let_1236 _let_1235 _let_1234 _let_1233 _let_1232 _let_1231 _let_1230 _let_1229 _let_1228 _let_1227 _let_1226 _let_1225 _let_1224 _let_1223 _let_1222 _let_1221 _let_1220 _let_1219 _let_1218 _let_1217 _let_1216 _let_1215 _let_1214 _let_1213 _let_1212 _let_1211 _let_1210 _let_1209 _let_1208 _let_1207 _let_1206 _let_1205 _let_1204 _let_1203 _let_1202 _let_1201 _let_1200 _let_1199 _let_1198 _let_1197 _let_1196 _let_1195 _let_1194 _let_1193 _let_1192 _let_1191 _let_1190 _let_1189 _let_1188 _let_1187 _let_1186 _let_1185 _let_1184 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1177 _let_1176 _let_1175 _let_1174 _let_1173 _let_1172 _let_1171 _let_1170 _let_1169 _let_1168 _let_1167 _let_1166 _let_1165 _let_1164 _let_1163 _let_1162 _let_1161 _let_1160 _let_1159 _let_1158 _let_1157 _let_1156 _let_1155 _let_1154 _let_1153 _let_1152 _let_1151 _let_1150 _let_1149 _let_1148 _let_1147 _let_1146 _let_1145 _let_1144 _let_1143 _let_1142 _let_1141 _let_1140 _let_1139 _let_1138 _let_1137 _let_1136 _let_1135 _let_1134 _let_1133 _let_1132 _let_1131 _let_1130 _let_1129 _let_1128 _let_1127 _let_1126 _let_1125 _let_1124 _let_1123 _let_1122 _let_1121 _let_1120 _let_1119 _let_1118 _let_1117 _let_1116 _let_1115 _let_1114 _let_1113 _let_1112 _let_1111 _let_1110 _let_1109 _let_1108 _let_1107 _let_1106 _let_1105 _let_1104 _let_1103 _let_1102 _let_1101 _let_1100 _let_1099 _let_1098 _let_1097 _let_1096 _let_1095 _let_1094 _let_1093 _let_1092 _let_1091 _let_1090 _let_1089 _let_1088 _let_1087 _let_1086 _let_1085 _let_1084 _let_1083 _let_1082 _let_1081 _let_1080 _let_1079 _let_1078 _let_1077 _let_1076 _let_1075 _let_1074 _let_1073 _let_1072 _let_1071 _let_1070 _let_1069 _let_1068 _let_1067 _let_1066 _let_1065 _let_1064 _let_1063 _let_1062 _let_1061 _let_1060 _let_1059 _let_1058 _let_1057 _let_1056 _let_1055 _let_1054 _let_1053 _let_1052 _let_1051 _let_1050 _let_1049 _let_1048 _let_1047 _let_1046 _let_1045 _let_1044 _let_1043 _let_1042 _let_1041 _let_1040 _let_1039 _let_1038 _let_1037 _let_1036 _let_1035 _let_1034 _let_1033 _let_1032 _let_1031 _let_1030 _let_1029 _let_1028 _let_1027 _let_1026 _let_1025 _let_1024 _let_1023 _let_1022 _let_1021 _let_1020 _let_1019 _let_1018 _let_1017 _let_1016 _let_1015 _let_1014 _let_1013 _let_1012 _let_1011 _let_1010 _let_1009 _let_1008 _let_1007 _let_1006 _let_1005 _let_1004 _let_1003 _let_1002 _let_1001 _let_1000 _let_999 _let_998 _let_997 _let_996 _let_995 _let_994 _let_993 _let_992 _let_991 _let_990 _let_989 _let_988 _let_987 _let_986 _let_985 _let_984 _let_983 _let_982 _let_981 _let_980 _let_979 _let_978 _let_977 _let_976 _let_975 _let_974 _let_973 _let_972 _let_971 _let_970 _let_969 _let_968 _let_967 _let_966 _let_965 _let_964 _let_963 _let_962 _let_961 _let_960 _let_959 _let_958 _let_957 _let_956 _let_955 _let_954 _let_953 _let_952 _let_951 _let_950 _let_949 _let_948 _let_947 _let_946 _let_945 _let_944 _let_943 _let_942 _let_941 _let_940 _let_939 _let_938 _let_937 _let_936 _let_935 _let_934 _let_933 _let_932 _let_931 _let_930 _let_929 _let_928 _let_927 _let_926 _let_925 _let_924 _let_923 _let_922 _let_921 _let_920 _let_919 _let_918 _let_917 _let_916 _let_915 _let_914 _let_913 _let_912 _let_911 _let_910 _let_909 _let_908 _let_907 _let_906 _let_905 _let_904 _let_903 _let_902 _let_901 _let_900 _let_899 _let_898 _let_897 _let_896 _let_895 _let_894 _let_893 _let_892 _let_891 _let_890 _let_889 _let_888 _let_887 _let_886 _let_885 _let_884 _let_883 _let_882 _let_881 _let_880 _let_879 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _let_861 _let_860 _let_859 _let_858 _let_857 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_834 _let_833 _let_832 _let_831 _let_830 _let_829 _let_828 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_807 _let_806 _let_805 _let_804 _let_803 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_748 _let_747 _let_746 _let_745 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737 _let_736 _let_735 _let_734 _let_733 _let_732 _let_731 _let_730 _let_729 _let_728 _let_727 _let_726 _let_725 _let_724 _let_723 _let_722 _let_721 _let_720 _let_719 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711 _let_710 _let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_703 _let_702 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_695 _let_694 _let_693 _let_692 _let_691 _let_690 _let_689 _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_682 _let_681 _let_680 _let_679 _let_678 _let_677 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582))) :args _let_427)) :args ((or _let_581 (not _let_302)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_303 1)) :args ((or _let_302 _let_580))) _let_579 :args (_let_302 false _let_303)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_303 0)) :args ((or _let_301 _let_580))) _let_579 :args (_let_301 false _let_303)) :args (false false _let_302 false _let_301)) :args (_let_298 _let_295 (forall ((Prod tptp.produc7812382424243267045t_unit) (Prod2 tptp.produc7812382424243267045t_unit)) (=> (and (= (@ tptp.produc473321116828791851t_unit Prod) (@ tptp.produc473321116828791851t_unit Prod2)) (= (@ tptp.produc1126150082675451753t_unit Prod) (@ tptp.produc1126150082675451753t_unit Prod2))) (= Prod Prod2))) (forall ((P tptp.produc7812382424243267045t_unit) (Q tptp.produc7812382424243267045t_unit)) (=> (= (@ tptp.produc473321116828791851t_unit P) (@ tptp.produc473321116828791851t_unit Q)) (=> (= (@ tptp.produc1126150082675451753t_unit P) (@ tptp.produc1126150082675451753t_unit Q)) (= P Q)))) (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)) (P tptp.produc7812382424243267045t_unit)) (=> (@ (@ P2 (@ tptp.produc1126150082675451753t_unit P)) (@ tptp.produc473321116828791851t_unit P)) (not (forall ((X tptp.ref_a) (Y tptp.heap_e7401611519738050253t_unit)) (not (@ (@ P2 Y) X)))))) (= (lambda ((Y2 tptp.produc7812382424243267045t_unit) (Z tptp.produc7812382424243267045t_unit)) (= Y2 Z)) (lambda ((S tptp.produc7812382424243267045t_unit) (T tptp.produc7812382424243267045t_unit)) (and (= (@ tptp.produc473321116828791851t_unit S) (@ tptp.produc473321116828791851t_unit T)) (= (@ tptp.produc1126150082675451753t_unit S) (@ tptp.produc1126150082675451753t_unit T))))) (forall ((X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit) (X3 tptp.a)) (= (@ (@ tptp.get_a (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.alloc_a X2) H))) (@ tptp.produc473321116828791851t_unit (@ (@ tptp.alloc_a X3) H))) X2)) (forall ((V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (V2 tptp.a)) (let ((_let_1 (@ (@ tptp.alloc_a V) H))) (= (@ (@ (@ tptp.set_a (@ tptp.produc473321116828791851t_unit _let_1)) V2) (@ tptp.produc1126150082675451753t_unit _let_1)) (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.alloc_a V2) H))))) (forall ((H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (V tptp.a)) (=> (@ (@ tptp.present_a H) R) (@ (@ tptp.present_a (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.alloc_a V) H))) R))) (forall ((H tptp.heap_e7401611519738050253t_unit) (V tptp.a)) (not (@ (@ tptp.present_a H) (@ tptp.produc473321116828791851t_unit (@ (@ tptp.alloc_a V) H))))) (forall ((R tptp.ref_a) (X2 tptp.a) (Y3 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ tptp.set_a R))) (let ((_let_2 (@ _let_1 X2))) (= (@ _let_2 (@ (@ _let_1 Y3) H)) (@ _let_2 H))))) (forall ((R tptp.ref_a) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (= (@ (@ tptp.get_a (@ (@ (@ tptp.set_a R) X2) H)) R) X2)) (forall ((R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.present_a (@ (@ (@ tptp.set_a R) V) H)) (@ tptp.present_a H))) (forall ((V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.ref_a2 V)) H) H2) R) (not (=> (= (@ (@ tptp.get_a H2) R) V) (=> (@ (@ tptp.present_a H2) R) (@ (@ tptp.present_a H) R)))))) (forall ((X2 tptp.a) (R tptp.ref_a) (X3 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ tptp.alloc_a X2))) (= (@ tptp.produc473321116828791851t_unit (@ _let_1 (@ (@ (@ tptp.set_a R) X3) H))) (@ tptp.produc473321116828791851t_unit (@ _let_1 H))))) _let_294 (forall ((R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ (@ tptp.alloc_a V) H))) (=> (@ (@ tptp.noteq_a_a R) (@ tptp.produc473321116828791851t_unit _let_1)) (= (@ (@ tptp.get_a (@ tptp.produc1126150082675451753t_unit _let_1)) R) (@ (@ tptp.get_a H) R))))) (forall ((F (-> tptp.a tptp.a)) (R2 tptp.ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.a)) (let ((_let_1 (@ F (@ (@ tptp.get_a H) R2)))) (=> (@ (@ (@ (@ tptp.heap_effect_a (@ (@ tptp.change_a F) R2)) H) H2) R) (not (=> (= H2 (@ (@ (@ tptp.set_a R2) _let_1) H)) (not (= R _let_1))))))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (R2 tptp.ref_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F (@ (@ tptp.get_ref_a H) R2)))) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.change_ref_a F) R2)) H) H2) R) (not (=> (= H2 (@ (@ (@ tptp.set_ref_a2 R2) _let_1) H)) (not (= R _let_1))))))) (forall ((H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (F (-> tptp.a tptp.a)) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.a)) (let ((_let_1 (@ F (@ (@ tptp.get_a H) R)))) (=> (= H2 (@ (@ (@ tptp.set_a R) _let_1) H)) (=> (= X2 _let_1) (@ (@ (@ (@ tptp.heap_effect_a (@ (@ tptp.change_a F) R)) H) H2) X2))))) (forall ((H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_ref_a) (F (-> tptp.ref_a tptp.ref_a)) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (let ((_let_1 (@ F (@ (@ tptp.get_ref_a H) R)))) (=> (= H2 (@ (@ (@ tptp.set_ref_a2 R) _let_1) H)) (=> (= X2 _let_1) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.change_ref_a F) R)) H) H2) X2))))) (forall ((H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (V tptp.a)) (=> (@ (@ tptp.present_a H) R) (@ (@ tptp.noteq_a_a R) (@ tptp.produc473321116828791851t_unit (@ (@ tptp.alloc_a V) H))))) (forall ((R tptp.ref_a) (S2 tptp.ref_a) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (@ (@ tptp.noteq_a_a R) S2) (= (@ (@ tptp.get_a (@ (@ (@ tptp.set_a S2) X2) H)) R) (@ (@ tptp.get_a H) R)))) _let_293 (forall ((R tptp.ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.a)) (=> (@ (@ (@ (@ tptp.heap_effect_a (@ tptp.lookup_a R)) H) H2) X2) (not (=> (= H2 H) (not (= X2 (@ (@ tptp.get_a H) R))))))) (forall ((R tptp.ref_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.lookup_ref_a R)) H) H2) X2) (not (=> (= H2 H) (not (= X2 (@ (@ tptp.get_ref_a H) R))))))) (forall ((H2 tptp.heap_e7401611519738050253t_unit) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.a) (R tptp.ref_a)) (=> (= H2 H) (=> (= X2 (@ (@ tptp.get_a H) R)) (@ (@ (@ (@ tptp.heap_effect_a (@ tptp.lookup_a R)) H) H2) X2)))) (forall ((H2 tptp.heap_e7401611519738050253t_unit) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a) (R tptp.ref_ref_a)) (=> (= H2 H) (=> (= X2 (@ (@ tptp.get_ref_a H) R)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.lookup_ref_a R)) H) H2) X2)))) (forall ((R tptp.ref_a) (H2 tptp.heap_e7401611519738050253t_unit) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (= (@ (@ tptp.produc6544324848051098391t_unit R) H2) (@ (@ tptp.alloc_a V) H)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.ref_a2 V)) H) H2) R))) (forall ((X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc6369869760173755749_ref_a (@ tptp.produc970745769005243767t_unit X2)) (@ tptp.produc473321116828791851t_unit X2))) (forall ((X2 tptp.produc1799199577659733785_ref_a)) (= (@ tptp.produc1126150082675451753t_unit (@ tptp.produc6214465446503547763_ref_a X2)) (@ tptp.produc5717040794327095847_ref_a X2))) (forall ((X2 tptp.produc1799199577659733785_ref_a)) (= (@ tptp.produc473321116828791851t_unit (@ tptp.produc6214465446503547763_ref_a X2)) (@ tptp.produc6369869760173755749_ref_a X2))) (forall ((X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc5717040794327095847_ref_a (@ tptp.produc970745769005243767t_unit X2)) (@ tptp.produc1126150082675451753t_unit X2))) (forall ((X1 tptp.set_Pr4329608150637261639at_nat) (X22 tptp.set_Pr4329608150637261639at_nat) (Y1 tptp.set_Pr4329608150637261639at_nat) (Y22 tptp.set_Pr4329608150637261639at_nat)) (= (= (@ (@ tptp.produc9060074326276436823at_nat X1) X22) (@ (@ tptp.produc9060074326276436823at_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))) (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X22 tptp.set_Pr1261947904930325089at_nat) (Y1 tptp.set_Pr1261947904930325089at_nat) (Y22 tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc2922128104949294807at_nat X1) X22) (@ (@ tptp.produc2922128104949294807at_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))) (forall ((X1 tptp.nat) (X22 tptp.num) (Y1 tptp.nat) (Y22 tptp.num)) (= (= (@ (@ tptp.product_Pair_nat_num X1) X22) (@ (@ tptp.product_Pair_nat_num Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))) (forall ((X1 tptp.nat) (X22 tptp.nat) (Y1 tptp.nat) (Y22 tptp.nat)) (= (= (@ (@ tptp.product_Pair_nat_nat X1) X22) (@ (@ tptp.product_Pair_nat_nat Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))) (forall ((X1 tptp.int) (X22 tptp.int) (Y1 tptp.int) (Y22 tptp.int)) (= (= (@ (@ tptp.product_Pair_int_int X1) X22) (@ (@ tptp.product_Pair_int_int Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A2 tptp.set_Pr4329608150637261639at_nat) (B2 tptp.set_Pr4329608150637261639at_nat)) (= (= (@ (@ tptp.produc9060074326276436823at_nat A) B) (@ (@ tptp.produc9060074326276436823at_nat A2) B2)) (and (= A A2) (= B B2)))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc2922128104949294807at_nat A) B) (@ (@ tptp.produc2922128104949294807at_nat A2) B2)) (and (= A A2) (= B B2)))) (forall ((A tptp.nat) (B tptp.num) (A2 tptp.nat) (B2 tptp.num)) (= (= (@ (@ tptp.product_Pair_nat_num A) B) (@ (@ tptp.product_Pair_nat_num A2) B2)) (and (= A A2) (= B B2)))) (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.nat) (B2 tptp.nat)) (= (= (@ (@ tptp.product_Pair_nat_nat A) B) (@ (@ tptp.product_Pair_nat_nat A2) B2)) (and (= A A2) (= B B2)))) (forall ((A tptp.int) (B tptp.int) (A2 tptp.int) (B2 tptp.int)) (= (= (@ (@ tptp.product_Pair_int_int A) B) (@ (@ tptp.product_Pair_int_int A2) B2)) (and (= A A2) (= B B2)))) (forall ((X2 tptp.num) (Y3 tptp.nat)) (= (@ tptp.product_swap_num_nat (@ (@ tptp.product_Pair_num_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_num Y3) X2))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.produc5396952528824381687at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.produc9060074326276436823at_nat Y3) X2))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.produc3946833401584108663at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.produc2922128104949294807at_nat Y3) X2))) (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.product_swap_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.product_Pair_num_nat Y3) X2))) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.product_swap_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_nat Y3) X2))) (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.product_swap_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.product_Pair_int_int Y3) X2))) (forall ((Prod tptp.produc1319942482725812455at_nat)) (= (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc4486455499028916547at_nat Prod)) (@ tptp.produc826222791318859909at_nat Prod)) Prod)) (forall ((Prod tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc6011863565407846595at_nat Prod)) (@ tptp.produc2937545259423399429at_nat Prod)) Prod)) (forall ((Prod tptp.product_prod_nat_num)) (= (@ (@ tptp.product_Pair_nat_num (@ tptp.product_fst_nat_num Prod)) (@ tptp.product_snd_nat_num Prod)) Prod)) (forall ((Prod tptp.product_prod_nat_nat)) (= (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_fst_nat_nat Prod)) (@ tptp.product_snd_nat_nat Prod)) Prod)) (forall ((Prod tptp.product_prod_int_int)) (= (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int Prod)) (@ tptp.product_snd_int_int Prod)) Prod)) (forall ((Prod tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc6544324848051098391t_unit (@ tptp.produc473321116828791851t_unit Prod)) (@ tptp.produc1126150082675451753t_unit Prod)) Prod)) (forall ((Y3 tptp.produc1319942482725812455at_nat)) (not (forall ((A3 tptp.set_Pr4329608150637261639at_nat) (B3 tptp.set_Pr4329608150637261639at_nat)) (not (= Y3 (@ (@ tptp.produc9060074326276436823at_nat A3) B3)))))) (forall ((Y3 tptp.produc3843707927480180839at_nat)) (not (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (not (= Y3 (@ (@ tptp.produc2922128104949294807at_nat A3) B3)))))) (forall ((Y3 tptp.product_prod_nat_num)) (not (forall ((A3 tptp.nat) (B3 tptp.num)) (not (= Y3 (@ (@ tptp.product_Pair_nat_num A3) B3)))))) (forall ((Y3 tptp.product_prod_nat_nat)) (not (forall ((A3 tptp.nat) (B3 tptp.nat)) (not (= Y3 (@ (@ tptp.product_Pair_nat_nat A3) B3)))))) (forall ((Y3 tptp.product_prod_int_int)) (not (forall ((A3 tptp.int) (B3 tptp.int)) (not (= Y3 (@ (@ tptp.product_Pair_int_int A3) B3)))))) (forall ((P tptp.produc1319942482725812455at_nat)) (exists ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (= P (@ (@ tptp.produc9060074326276436823at_nat X) Y)))) (forall ((P tptp.produc3843707927480180839at_nat)) (exists ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (= P (@ (@ tptp.produc2922128104949294807at_nat X) Y)))) (forall ((P tptp.product_prod_nat_num)) (exists ((X tptp.nat) (Y tptp.num)) (= P (@ (@ tptp.product_Pair_nat_num X) Y)))) (forall ((P tptp.product_prod_nat_nat)) (exists ((X tptp.nat) (Y tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_nat X) Y)))) (forall ((P tptp.product_prod_int_int)) (exists ((X tptp.int) (Y tptp.int)) (= P (@ (@ tptp.product_Pair_int_int X) Y)))) (forall ((P2 (-> tptp.produc1319942482725812455at_nat Bool)) (P tptp.produc1319942482725812455at_nat)) (=> (forall ((A3 tptp.set_Pr4329608150637261639at_nat) (B3 tptp.set_Pr4329608150637261639at_nat)) (@ P2 (@ (@ tptp.produc9060074326276436823at_nat A3) B3))) (@ P2 P))) (forall ((P2 (-> tptp.produc3843707927480180839at_nat Bool)) (P tptp.produc3843707927480180839at_nat)) (=> (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (@ P2 (@ (@ tptp.produc2922128104949294807at_nat A3) B3))) (@ P2 P))) (forall ((P2 (-> tptp.product_prod_nat_num Bool)) (P tptp.product_prod_nat_num)) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (@ P2 (@ (@ tptp.product_Pair_nat_num A3) B3))) (@ P2 P))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (@ P2 (@ (@ tptp.product_Pair_nat_nat A3) B3))) (@ P2 P))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (P tptp.product_prod_int_int)) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (@ P2 (@ (@ tptp.product_Pair_int_int A3) B3))) (@ P2 P))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A2 tptp.set_Pr4329608150637261639at_nat) (B2 tptp.set_Pr4329608150637261639at_nat)) (=> (= (@ (@ tptp.produc9060074326276436823at_nat A) B) (@ (@ tptp.produc9060074326276436823at_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A2 tptp.set_Pr1261947904930325089at_nat) (B2 tptp.set_Pr1261947904930325089at_nat)) (=> (= (@ (@ tptp.produc2922128104949294807at_nat A) B) (@ (@ tptp.produc2922128104949294807at_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A tptp.nat) (B tptp.num) (A2 tptp.nat) (B2 tptp.num)) (=> (= (@ (@ tptp.product_Pair_nat_num A) B) (@ (@ tptp.product_Pair_nat_num A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A tptp.nat) (B tptp.nat) (A2 tptp.nat) (B2 tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat A) B) (@ (@ tptp.product_Pair_nat_nat A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A tptp.int) (B tptp.int) (A2 tptp.int) (B2 tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int A) B) (@ (@ tptp.product_Pair_int_int A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A tptp.produc3843707927480180839at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (= (@ (@ tptp.member8757157785044589968at_nat A) (@ tptp.collec6321179662152712658at_nat P2)) (@ P2 A))) (forall ((A Bool) (P2 (-> Bool Bool))) (= (@ (@ tptp.member_o A) (@ tptp.collect_o P2)) (@ P2 A))) (forall ((A tptp.int) (P2 (-> tptp.int Bool))) (= (@ (@ tptp.member_int A) (@ tptp.collect_int P2)) (@ P2 A))) (forall ((A tptp.product_prod_nat_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.member8440522571783428010at_nat A) (@ tptp.collec3392354462482085612at_nat P2)) (@ P2 A))) (forall ((A tptp.nat) (P2 (-> tptp.nat Bool))) (= (@ (@ tptp.member_nat A) (@ tptp.collect_nat P2)) (@ P2 A))) (forall ((A tptp.product_prod_int_int) (P2 (-> tptp.product_prod_int_int Bool))) (= (@ (@ tptp.member5262025264175285858nt_int A) (@ tptp.collec213857154873943460nt_int P2)) (@ P2 A))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) A4))) A4)) (forall ((A4 tptp.set_o)) (= (@ tptp.collect_o (lambda ((X4 Bool)) (@ (@ tptp.member_o X4) A4))) A4)) (forall ((A4 tptp.set_int)) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ (@ tptp.member_int X4) A4))) A4)) (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) A4))) A4)) (forall ((A4 tptp.set_nat)) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.member_nat X4) A4))) A4)) (forall ((A4 tptp.set_Pr958786334691620121nt_int)) (= (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ (@ tptp.member5262025264175285858nt_int X4) A4))) A4)) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (=> (forall ((X tptp.product_prod_nat_nat)) (= (@ P2 X) (@ Q2 X))) (= (@ tptp.collec3392354462482085612at_nat P2) (@ tptp.collec3392354462482085612at_nat Q2)))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat Bool))) (=> (forall ((X tptp.nat)) (= (@ P2 X) (@ Q2 X))) (= (@ tptp.collect_nat P2) (@ tptp.collect_nat Q2)))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (=> (forall ((X tptp.product_prod_int_int)) (= (@ P2 X) (@ Q2 X))) (= (@ tptp.collec213857154873943460nt_int P2) (@ tptp.collec213857154873943460nt_int Q2)))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (= (@ tptp.produc4486455499028916547at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) A) (= X2 A))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (= (@ tptp.produc6011863565407846595at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) A) (= X2 A))) (forall ((X2 tptp.nat) (Y3 tptp.num) (A tptp.nat)) (=> (= (@ tptp.product_fst_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) A) (= X2 A))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (A tptp.nat)) (=> (= (@ tptp.product_fst_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) A) (= X2 A))) (forall ((X2 tptp.int) (Y3 tptp.int) (A tptp.int)) (=> (= (@ tptp.product_fst_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) A) (= X2 A))) (forall ((X2 tptp.ref_a) (Y3 tptp.heap_e7401611519738050253t_unit) (A tptp.ref_a)) (=> (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc6544324848051098391t_unit X2) Y3)) A) (= X2 A))) (forall ((X1 tptp.set_Pr4329608150637261639at_nat) (X22 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.produc4486455499028916547at_nat (@ (@ tptp.produc9060074326276436823at_nat X1) X22)) X1)) (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X22 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.produc6011863565407846595at_nat (@ (@ tptp.produc2922128104949294807at_nat X1) X22)) X1)) (forall ((X1 tptp.nat) (X22 tptp.num)) (= (@ tptp.product_fst_nat_num (@ (@ tptp.product_Pair_nat_num X1) X22)) X1)) (forall ((X1 tptp.nat) (X22 tptp.nat)) (= (@ tptp.product_fst_nat_nat (@ (@ tptp.product_Pair_nat_nat X1) X22)) X1)) (forall ((X1 tptp.int) (X22 tptp.int)) (= (@ tptp.product_fst_int_int (@ (@ tptp.product_Pair_int_int X1) X22)) X1)) (forall ((X1 tptp.ref_a) (X22 tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc6544324848051098391t_unit X1) X22)) X1)) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (= (@ tptp.produc826222791318859909at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) A) (= Y3 A))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (= (@ tptp.produc2937545259423399429at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) A) (= Y3 A))) (forall ((X2 tptp.nat) (Y3 tptp.num) (A tptp.num)) (=> (= (@ tptp.product_snd_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) A) (= Y3 A))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (A tptp.nat)) (=> (= (@ tptp.product_snd_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) A) (= Y3 A))) (forall ((X2 tptp.int) (Y3 tptp.int) (A tptp.int)) (=> (= (@ tptp.product_snd_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) A) (= Y3 A))) (forall ((X2 tptp.ref_a) (Y3 tptp.heap_e7401611519738050253t_unit) (A tptp.heap_e7401611519738050253t_unit)) (=> (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc6544324848051098391t_unit X2) Y3)) A) (= Y3 A))) (forall ((X1 tptp.set_Pr4329608150637261639at_nat) (X22 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.produc826222791318859909at_nat (@ (@ tptp.produc9060074326276436823at_nat X1) X22)) X22)) (forall ((X1 tptp.set_Pr1261947904930325089at_nat) (X22 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.produc2937545259423399429at_nat (@ (@ tptp.produc2922128104949294807at_nat X1) X22)) X22)) (forall ((X1 tptp.nat) (X22 tptp.num)) (= (@ tptp.product_snd_nat_num (@ (@ tptp.product_Pair_nat_num X1) X22)) X22)) (forall ((X1 tptp.nat) (X22 tptp.nat)) (= (@ tptp.product_snd_nat_nat (@ (@ tptp.product_Pair_nat_nat X1) X22)) X22)) (forall ((X1 tptp.int) (X22 tptp.int)) (= (@ tptp.product_snd_int_int (@ (@ tptp.product_Pair_int_int X1) X22)) X22)) (forall ((X1 tptp.ref_a) (X22 tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc6544324848051098391t_unit X1) X22)) X22)) _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 (forall ((Prod tptp.produc1319942482725812455at_nat)) (= Prod (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc4486455499028916547at_nat Prod)) (@ tptp.produc826222791318859909at_nat Prod)))) (forall ((Prod tptp.produc3843707927480180839at_nat)) (= Prod (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc6011863565407846595at_nat Prod)) (@ tptp.produc2937545259423399429at_nat Prod)))) (forall ((Prod tptp.product_prod_nat_num)) (= Prod (@ (@ tptp.product_Pair_nat_num (@ tptp.product_fst_nat_num Prod)) (@ tptp.product_snd_nat_num Prod)))) (forall ((Prod tptp.product_prod_nat_nat)) (= Prod (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_fst_nat_nat Prod)) (@ tptp.product_snd_nat_nat Prod)))) (forall ((Prod tptp.product_prod_int_int)) (= Prod (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int Prod)) (@ tptp.product_snd_int_int Prod)))) (forall ((Prod tptp.produc7812382424243267045t_unit)) (= Prod (@ (@ tptp.produc6544324848051098391t_unit (@ tptp.produc473321116828791851t_unit Prod)) (@ tptp.produc1126150082675451753t_unit Prod)))) (forall ((P2 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (Y3 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.produc9060074326276436823at_nat X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.produc826222791318859909at_nat _let_1)) (@ tptp.produc4486455499028916547at_nat _let_1))))) (forall ((P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (Y3 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.produc2922128104949294807at_nat X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.produc2937545259423399429at_nat _let_1)) (@ tptp.produc6011863565407846595at_nat _let_1))))) (forall ((P2 (-> tptp.num tptp.nat Bool)) (Y3 tptp.num) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_num X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.product_snd_nat_num _let_1)) (@ tptp.product_fst_nat_num _let_1))))) (forall ((P2 (-> tptp.nat tptp.nat Bool)) (Y3 tptp.nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.product_snd_nat_nat _let_1)) (@ tptp.product_fst_nat_nat _let_1))))) (forall ((P2 (-> tptp.int tptp.int Bool)) (Y3 tptp.int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.product_Pair_int_int X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.product_snd_int_int _let_1)) (@ tptp.product_fst_int_int _let_1))))) (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a Bool)) (Y3 tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (let ((_let_1 (@ (@ tptp.produc6544324848051098391t_unit X2) Y3))) (=> (@ (@ P2 Y3) X2) (@ (@ P2 (@ tptp.produc1126150082675451753t_unit _let_1)) (@ tptp.produc473321116828791851t_unit _let_1))))) (forall ((P2 (-> tptp.set_Pr4329608150637261639at_nat Bool)) (P tptp.set_Pr4329608150637261639at_nat) (Q2 (-> tptp.set_Pr4329608150637261639at_nat Bool)) (Q tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.produc9060074326276436823at_nat P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.produc4486455499028916547at_nat _let_1)) (@ Q2 (@ tptp.produc826222791318859909at_nat _let_1))))))) (forall ((P2 (-> tptp.set_Pr1261947904930325089at_nat Bool)) (P tptp.set_Pr1261947904930325089at_nat) (Q2 (-> tptp.set_Pr1261947904930325089at_nat Bool)) (Q tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.produc2922128104949294807at_nat P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.produc6011863565407846595at_nat _let_1)) (@ Q2 (@ tptp.produc2937545259423399429at_nat _let_1))))))) (forall ((P2 (-> tptp.nat Bool)) (P tptp.nat) (Q2 (-> tptp.num Bool)) (Q tptp.num)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_num P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.product_fst_nat_num _let_1)) (@ Q2 (@ tptp.product_snd_nat_num _let_1))))))) (forall ((P2 (-> tptp.nat Bool)) (P tptp.nat) (Q2 (-> tptp.nat Bool)) (Q tptp.nat)) (let ((_let_1 (@ (@ tptp.product_Pair_nat_nat P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.product_fst_nat_nat _let_1)) (@ Q2 (@ tptp.product_snd_nat_nat _let_1))))))) (forall ((P2 (-> tptp.int Bool)) (P tptp.int) (Q2 (-> tptp.int Bool)) (Q tptp.int)) (let ((_let_1 (@ (@ tptp.product_Pair_int_int P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.product_fst_int_int _let_1)) (@ Q2 (@ tptp.product_snd_int_int _let_1))))))) (forall ((P2 (-> tptp.ref_a Bool)) (P tptp.ref_a) (Q2 (-> tptp.heap_e7401611519738050253t_unit Bool)) (Q tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ (@ tptp.produc6544324848051098391t_unit P) Q))) (=> (@ P2 P) (=> (@ Q2 Q) (and (@ P2 (@ tptp.produc473321116828791851t_unit _let_1)) (@ Q2 (@ tptp.produc1126150082675451753t_unit _let_1))))))) (forall ((T2 tptp.produc1319942482725812455at_nat)) (= T2 (@ (@ tptp.produc9060074326276436823at_nat (@ tptp.produc4486455499028916547at_nat T2)) (@ tptp.produc826222791318859909at_nat T2)))) (forall ((T2 tptp.produc3843707927480180839at_nat)) (= T2 (@ (@ tptp.produc2922128104949294807at_nat (@ tptp.produc6011863565407846595at_nat T2)) (@ tptp.produc2937545259423399429at_nat T2)))) (forall ((T2 tptp.product_prod_nat_num)) (= T2 (@ (@ tptp.product_Pair_nat_num (@ tptp.product_fst_nat_num T2)) (@ tptp.product_snd_nat_num T2)))) (forall ((T2 tptp.product_prod_nat_nat)) (= T2 (@ (@ tptp.product_Pair_nat_nat (@ tptp.product_fst_nat_nat T2)) (@ tptp.product_snd_nat_nat T2)))) (forall ((T2 tptp.product_prod_int_int)) (= T2 (@ (@ tptp.product_Pair_int_int (@ tptp.product_fst_int_int T2)) (@ tptp.product_snd_int_int T2)))) (forall ((T2 tptp.produc7812382424243267045t_unit)) (= T2 (@ (@ tptp.produc6544324848051098391t_unit (@ tptp.produc473321116828791851t_unit T2)) (@ tptp.produc1126150082675451753t_unit T2)))) (forall ((R tptp.ref_a) (R2 tptp.ref_a) (X2 tptp.a) (X3 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (let ((_let_1 (@ (@ tptp.set_a R) X2))) (let ((_let_2 (@ (@ tptp.set_a R2) X3))) (=> (@ (@ tptp.noteq_a_a R) R2) (= (@ _let_1 (@ _let_2 H)) (@ _let_2 (@ _let_1 H))))))) (forall ((R tptp.ref_a) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (= (@ (@ tptp.produc6544324848051098391t_unit R) H2) (@ (@ tptp.alloc_a X2) H)) (not (@ (@ tptp.present_a H) R)))) (forall ((R tptp.ref_a) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (=> (= (@ (@ tptp.produc6544324848051098391t_unit R) H2) (@ (@ tptp.alloc_a X2) H)) (@ (@ tptp.present_a H2) R))) (forall ((H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (R2 tptp.ref_a)) (let ((_let_1 (@ tptp.present_a H))) (=> (@ _let_1 R) (=> (not (@ _let_1 R2)) (@ (@ tptp.noteq_a_a R) R2))))) _let_286 (forall ((H2 tptp.heap_e7401611519738050253t_unit) (F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (=> (= R (@ tptp.produc473321116828791851t_unit _let_1)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_heap_ref_a F)) H) H2) R))))) (forall ((P2 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A tptp.produc1319942482725812455at_nat)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ P2 (@ tptp.produc4486455499028916547at_nat A)) (@ tptp.produc826222791318859909at_nat A))))) (forall ((P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ P2 (@ tptp.produc6011863565407846595at_nat A)) (@ tptp.produc2937545259423399429at_nat A))))) (forall ((P2 (-> tptp.nat tptp.num Bool)) (X2 tptp.nat) (Y3 tptp.num) (A tptp.product_prod_nat_num)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ P2 (@ tptp.product_fst_nat_num A)) (@ tptp.product_snd_nat_num A))))) (forall ((P2 (-> tptp.nat tptp.nat Bool)) (X2 tptp.nat) (Y3 tptp.nat) (A tptp.product_prod_nat_nat)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.product_snd_nat_nat A))))) (forall ((P2 (-> tptp.int tptp.int Bool)) (X2 tptp.int) (Y3 tptp.int) (A tptp.product_prod_int_int)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.product_snd_int_int A))))) (forall ((P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (X2 tptp.ref_a) (Y3 tptp.heap_e7401611519738050253t_unit) (A tptp.produc7812382424243267045t_unit)) (=> (@ (@ P2 X2) Y3) (=> (= A (@ (@ tptp.produc6544324848051098391t_unit X2) Y3)) (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.produc1126150082675451753t_unit A))))) (forall ((X2 tptp.produc1319942482725812455at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (Z2 tptp.set_Pr4329608150637261639at_nat)) (=> (= X2 (@ (@ tptp.produc9060074326276436823at_nat Y3) Z2)) (= (@ tptp.produc826222791318859909at_nat X2) Z2))) (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (Z2 tptp.set_Pr1261947904930325089at_nat)) (=> (= X2 (@ (@ tptp.produc2922128104949294807at_nat Y3) Z2)) (= (@ tptp.produc2937545259423399429at_nat X2) Z2))) (forall ((X2 tptp.product_prod_nat_num) (Y3 tptp.nat) (Z2 tptp.num)) (=> (= X2 (@ (@ tptp.product_Pair_nat_num Y3) Z2)) (= (@ tptp.product_snd_nat_num X2) Z2))) (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (= X2 (@ (@ tptp.product_Pair_nat_nat Y3) Z2)) (= (@ tptp.product_snd_nat_nat X2) Z2))) (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.int) (Z2 tptp.int)) (=> (= X2 (@ (@ tptp.product_Pair_int_int Y3) Z2)) (= (@ tptp.product_snd_int_int X2) Z2))) (forall ((X2 tptp.produc7812382424243267045t_unit) (Y3 tptp.ref_a) (Z2 tptp.heap_e7401611519738050253t_unit)) (=> (= X2 (@ (@ tptp.produc6544324848051098391t_unit Y3) Z2)) (= (@ tptp.produc1126150082675451753t_unit X2) Z2))) (forall ((B tptp.set_Pr4329608150637261639at_nat) (P tptp.produc1319942482725812455at_nat)) (= (= B (@ tptp.produc826222791318859909at_nat P)) (exists ((A5 tptp.set_Pr4329608150637261639at_nat)) (= P (@ (@ tptp.produc9060074326276436823at_nat A5) B))))) (forall ((B tptp.set_Pr1261947904930325089at_nat) (P tptp.produc3843707927480180839at_nat)) (= (= B (@ tptp.produc2937545259423399429at_nat P)) (exists ((A5 tptp.set_Pr1261947904930325089at_nat)) (= P (@ (@ tptp.produc2922128104949294807at_nat A5) B))))) (forall ((B tptp.num) (P tptp.product_prod_nat_num)) (= (= B (@ tptp.product_snd_nat_num P)) (exists ((A5 tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_num A5) B))))) (forall ((B tptp.nat) (P tptp.product_prod_nat_nat)) (= (= B (@ tptp.product_snd_nat_nat P)) (exists ((A5 tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_nat A5) B))))) (forall ((B tptp.int) (P tptp.product_prod_int_int)) (= (= B (@ tptp.product_snd_int_int P)) (exists ((A5 tptp.int)) (= P (@ (@ tptp.product_Pair_int_int A5) B))))) (forall ((B tptp.heap_e7401611519738050253t_unit) (P tptp.produc7812382424243267045t_unit)) (= (= B (@ tptp.produc1126150082675451753t_unit P)) (exists ((A5 tptp.ref_a)) (= P (@ (@ tptp.produc6544324848051098391t_unit A5) B))))) (forall ((X2 tptp.produc1319942482725812455at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (Z2 tptp.set_Pr4329608150637261639at_nat)) (=> (= X2 (@ (@ tptp.produc9060074326276436823at_nat Y3) Z2)) (= (@ tptp.produc4486455499028916547at_nat X2) Y3))) (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (Z2 tptp.set_Pr1261947904930325089at_nat)) (=> (= X2 (@ (@ tptp.produc2922128104949294807at_nat Y3) Z2)) (= (@ tptp.produc6011863565407846595at_nat X2) Y3))) (forall ((X2 tptp.product_prod_nat_num) (Y3 tptp.nat) (Z2 tptp.num)) (=> (= X2 (@ (@ tptp.product_Pair_nat_num Y3) Z2)) (= (@ tptp.product_fst_nat_num X2) Y3))) (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (= X2 (@ (@ tptp.product_Pair_nat_nat Y3) Z2)) (= (@ tptp.product_fst_nat_nat X2) Y3))) (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.int) (Z2 tptp.int)) (=> (= X2 (@ (@ tptp.product_Pair_int_int Y3) Z2)) (= (@ tptp.product_fst_int_int X2) Y3))) (forall ((X2 tptp.produc7812382424243267045t_unit) (Y3 tptp.ref_a) (Z2 tptp.heap_e7401611519738050253t_unit)) (=> (= X2 (@ (@ tptp.produc6544324848051098391t_unit Y3) Z2)) (= (@ tptp.produc473321116828791851t_unit X2) Y3))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (P tptp.produc1319942482725812455at_nat)) (= (= A (@ tptp.produc4486455499028916547at_nat P)) (exists ((B4 tptp.set_Pr4329608150637261639at_nat)) (= P (@ (@ tptp.produc9060074326276436823at_nat A) B4))))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (P tptp.produc3843707927480180839at_nat)) (= (= A (@ tptp.produc6011863565407846595at_nat P)) (exists ((B4 tptp.set_Pr1261947904930325089at_nat)) (= P (@ (@ tptp.produc2922128104949294807at_nat A) B4))))) (forall ((A tptp.nat) (P tptp.product_prod_nat_num)) (= (= A (@ tptp.product_fst_nat_num P)) (exists ((B4 tptp.num)) (= P (@ (@ tptp.product_Pair_nat_num A) B4))))) (forall ((A tptp.nat) (P tptp.product_prod_nat_nat)) (= (= A (@ tptp.product_fst_nat_nat P)) (exists ((B4 tptp.nat)) (= P (@ (@ tptp.product_Pair_nat_nat A) B4))))) (forall ((A tptp.int) (P tptp.product_prod_int_int)) (= (= A (@ tptp.product_fst_int_int P)) (exists ((B4 tptp.int)) (= P (@ (@ tptp.product_Pair_int_int A) B4))))) (forall ((A tptp.ref_a) (P tptp.produc7812382424243267045t_unit)) (= (= A (@ tptp.produc473321116828791851t_unit P)) (exists ((B4 tptp.heap_e7401611519738050253t_unit)) (= P (@ (@ tptp.produc6544324848051098391t_unit A) B4))))) (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit Bool)) (F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_guard_ref_a P2) F)) H) H2) R) (not (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (=> (= R (@ tptp.produc473321116828791851t_unit _let_1)) (not (@ P2 H)))))))) (forall ((P2 (-> tptp.heap_e7401611519738050253t_unit Bool)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (F (-> tptp.heap_e7401611519738050253t_unit tptp.produc7812382424243267045t_unit)) (R tptp.ref_a)) (let ((_let_1 (@ F H))) (=> (@ P2 H) (=> (= H2 (@ tptp.produc1126150082675451753t_unit _let_1)) (=> (= R (@ tptp.produc473321116828791851t_unit _let_1)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_guard_ref_a P2) F)) H) H2) R)))))) (forall ((C Bool) (T2 tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (E tptp.heap_Heap_ref_a)) (=> (=> C (@ (@ (@ (@ tptp.heap_effect_ref_a T2) H) H2) R)) (=> (=> (not C) (@ (@ (@ (@ tptp.heap_effect_ref_a E) H) H2) R)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ (@ tptp.if_Heap_Heap_ref_a C) T2) E)) H) H2) R)))) (forall ((F tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (A tptp.ref_a) (H3 tptp.heap_e7401611519738050253t_unit) (B tptp.ref_a)) (let ((_let_1 (@ (@ tptp.heap_effect_ref_a F) H))) (=> (@ (@ _let_1 H2) A) (=> (@ (@ _let_1 H3) B) (= H2 H3))))) (forall ((F tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (A tptp.ref_a) (H3 tptp.heap_e7401611519738050253t_unit) (B tptp.ref_a)) (let ((_let_1 (@ (@ tptp.heap_effect_ref_a F) H))) (=> (@ (@ _let_1 H2) A) (=> (@ (@ _let_1 H3) B) (= A B))))) (forall ((C Bool) (T2 tptp.heap_Heap_ref_a) (E tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ (@ tptp.if_Heap_Heap_ref_a C) T2) E)) H) H2) R) (=> (=> C (not (@ (@ (@ (@ tptp.heap_effect_ref_a T2) H) H2) R))) (not (=> (not C) (not (@ (@ (@ (@ tptp.heap_effect_ref_a E) H) H2) R))))))) (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (X2 Bool) (C tptp.num) (G (-> Bool tptp.num)) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr7727518618234538026at_num A4) F) G)))))) (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (C tptp.num) (G (-> tptp.nat tptp.num)) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr3875488559241464598at_num A4) F) G)))))) (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (X2 tptp.int) (C tptp.num) (G (-> tptp.int tptp.num)) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr4247142119478309234at_num A4) F) G)))))) (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (X2 Bool) (C tptp.nat) (G (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) C)) (@ (@ (@ tptp.bNF_Gr1946814795223983584at_nat A4) F) G)))))) (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (C tptp.nat) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) C)) (@ (@ (@ tptp.bNF_Gr7318156773085685964at_nat A4) F) G)))))) (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (X2 tptp.int) (C tptp.nat) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) C)) (@ (@ (@ tptp.bNF_Gr7689810333322530600at_nat A4) F) G)))))) (forall ((B tptp.int) (F (-> Bool tptp.int)) (X2 Bool) (C tptp.int) (G (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) C)) (@ (@ (@ tptp.bNF_Gr2943678036615987864nt_int A4) F) G)))))) (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (X2 tptp.nat) (C tptp.int) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) C)) (@ (@ (@ tptp.bNF_Gr8315020014477690244nt_int A4) F) G)))))) (forall ((B tptp.int) (F (-> tptp.int tptp.int)) (X2 tptp.int) (C tptp.int) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) C)) (@ (@ (@ tptp.bNF_Gr8686673574714534880nt_int A4) F) G)))))) (forall ((B tptp.nat) (F (-> tptp.product_prod_nat_nat tptp.nat)) (X2 tptp.product_prod_nat_nat) (C tptp.num) (G (-> tptp.product_prod_nat_nat tptp.num)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (= B (@ F X2)) (=> (= C (@ G X2)) (=> (@ (@ tptp.member8440522571783428010at_nat X2) A4) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num B) C)) (@ (@ (@ tptp.bNF_Gr5511461681843259283at_num A4) F) G)))))) (forall ((R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (= (@ tptp.lim_Product_unit (@ (@ (@ tptp.set_a R) V) H)) (@ tptp.lim_Product_unit H))) (forall ((P2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc27273713700761075at_nat F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))) (forall ((P2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc8739625826339149834_nat_o F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))) (forall ((P2 (-> Bool Bool)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))) (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (not (and (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (not (@ P2 (@ (@ F _let_2) _let_1))))))))) (forall ((P2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc27273713700761075at_nat F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))) (forall ((P2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.product_snd_nat_nat Prod))) (let ((_let_2 (@ tptp.product_fst_nat_nat Prod))) (= (@ P2 (@ (@ tptp.produc8739625826339149834_nat_o F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_nat_nat _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))) (forall ((P2 (-> Bool Bool)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))) (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (let ((_let_1 (@ tptp.product_snd_int_int Prod))) (let ((_let_2 (@ tptp.product_fst_int_int Prod))) (= (@ P2 (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (=> (= Prod (@ (@ tptp.product_Pair_int_int _let_2) _let_1)) (@ P2 (@ (@ F _let_2) _let_1))))))) (forall ((R tptp.set_Pr4329608150637261639at_nat) (S2 tptp.set_Pr4329608150637261639at_nat) (R3 tptp.set_Pr7459493094073627847at_nat) (S3 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.produc9060074326276436823at_nat R))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member1466754251312161552at_nat (@ _let_1 S3)) R3))))) (forall ((R tptp.set_Pr1261947904930325089at_nat) (S2 tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat) (S3 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat R))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 S3)) R3))))) (forall ((R tptp.nat) (S2 tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (S3 tptp.num)) (let ((_let_1 (@ tptp.product_Pair_nat_num R))) (=> (@ (@ tptp.member9148766508732265716at_num (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member9148766508732265716at_num (@ _let_1 S3)) R3))))) (forall ((R tptp.nat) (S2 tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (S3 tptp.nat)) (let ((_let_1 (@ tptp.product_Pair_nat_nat R))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member8440522571783428010at_nat (@ _let_1 S3)) R3))))) (forall ((R tptp.int) (S2 tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (S3 tptp.int)) (let ((_let_1 (@ tptp.product_Pair_int_int R))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ _let_1 S2)) R3) (=> (= S3 S2) (@ (@ tptp.member5262025264175285858nt_int (@ _let_1 S3)) R3))))) (forall ((X2 tptp.literal) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_raise_ref_a X2)) H) H2) R))) (forall ((R2 tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.product_unit)) (=> (@ (@ (@ (@ tptp.heap_e2830298082929533060t_unit (@ (@ tptp.update_a R2) V)) H) H2) R) (= H2 (@ (@ (@ tptp.set_a R2) V) H)))) (forall ((F (-> tptp.produc1319942482725812455at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ F (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ (@ tptp.produc447603880154497357_nat_o F) A) B))) (forall ((F (-> tptp.produc3843707927480180839at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ F (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ (@ tptp.produc7820828192191229133_nat_o F) A) B))) (forall ((F (-> tptp.product_prod_nat_num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ F (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ (@ tptp.produc156083480235303841_num_o F) A) B))) (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ F (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ (@ tptp.produc1310100445399344235_nat_o F) A) B))) (forall ((F (-> tptp.product_prod_int_int Bool)) (A tptp.int) (B tptp.int)) (=> (@ F (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ (@ tptp.produc175634133007206835_int_o F) A) B))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc27273713700761075at_nat (@ tptp.produc3610074571335452306at_nat F)) F)) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc8739625826339149834_nat_o (@ tptp.produc3704529784387675049_nat_o F)) F)) (forall ((F (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (= (@ tptp.produc4245557441103728435nt_int (@ tptp.produc8249235968001453780nt_int F)) F)) (forall ((F (-> tptp.product_prod_int_int Bool))) (= (@ tptp.produc4947309494688390418_int_o (@ tptp.produc175634133007206835_int_o F)) F)) (forall ((F (-> tptp.product_prod_int_int tptp.int))) (= (@ tptp.produc8211389475949308722nt_int (@ tptp.produc1016772743285680337nt_int F)) F)) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc3610074571335452306at_nat (@ tptp.produc27273713700761075at_nat F)) F)) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc3704529784387675049_nat_o (@ tptp.produc8739625826339149834_nat_o F)) F)) (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int))) (= (@ tptp.produc8249235968001453780nt_int (@ tptp.produc4245557441103728435nt_int F)) F)) (forall ((F (-> tptp.int tptp.int Bool))) (= (@ tptp.produc175634133007206835_int_o (@ tptp.produc4947309494688390418_int_o F)) F)) (forall ((F (-> tptp.int tptp.int tptp.int))) (= (@ tptp.produc1016772743285680337nt_int (@ tptp.produc8211389475949308722nt_int F)) F)) (forall ((Z2 Bool) (C (-> tptp.nat tptp.num tptp.set_o)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_o Z2) (@ (@ tptp.produc836176033315069408_set_o C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member_o Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4130284055270567454et_nat C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member_nat Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.num tptp.set_int)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member_int Z2) (@ (@ tptp.produc9175805072616146554et_int C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member_int Z2) (@ (@ C X) Y)))))))) (forall ((Z2 Bool) (C (-> tptp.nat tptp.nat tptp.set_o)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member_o Z2) (@ (@ tptp.produc59986286002894506_set_o C) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ tptp.member_o Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.nat tptp.set_nat)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc6189476227299908564et_nat C) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ tptp.member_nat Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.nat tptp.set_int)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member_int Z2) (@ (@ tptp.produc2011625207790711856et_int C) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ tptp.member_int Z2) (@ (@ C X) Y)))))))) (forall ((Z2 Bool) (C (-> tptp.int tptp.int tptp.set_o)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.member_o Z2) (@ (@ tptp.produc4257766111578684402_set_o C) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ tptp.member_o Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.nat) (C (-> tptp.int tptp.int tptp.set_nat)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4251311855443802252et_nat C) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ tptp.member_nat Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.int) (C (-> tptp.int tptp.int tptp.set_int)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.member_int Z2) (@ (@ tptp.produc73460835934605544et_int C) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ tptp.member_int Z2) (@ (@ C X) Y)))))))) (forall ((Z2 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ tptp.produc859037500352796105at_nat C) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ C X) Y)))))))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc27273713700761075at_nat F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X1 tptp.nat) (X22 tptp.nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o F) (@ (@ tptp.product_Pair_nat_nat X1) X22)) (@ (@ F X1) X22))) (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc4245557441103728435nt_int F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))) (forall ((F (-> tptp.int tptp.int Bool)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))) (forall ((F (-> tptp.int tptp.int tptp.int)) (X1 tptp.int) (X22 tptp.int)) (= (@ (@ tptp.produc8211389475949308722nt_int F) (@ (@ tptp.product_Pair_int_int X1) X22)) (@ (@ F X1) X22))) (forall ((F (-> tptp.produc1319942482725812455at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ (@ tptp.produc447603880154497357_nat_o F) A) B) (@ F (@ (@ tptp.produc9060074326276436823at_nat A) B)))) (forall ((F (-> tptp.produc3843707927480180839at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ tptp.produc7820828192191229133_nat_o F) A) B) (@ F (@ (@ tptp.produc2922128104949294807at_nat A) B)))) (forall ((F (-> tptp.product_prod_nat_num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ (@ tptp.produc156083480235303841_num_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_num A) B)))) (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ (@ tptp.produc1310100445399344235_nat_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_nat A) B)))) (forall ((F (-> tptp.product_prod_int_int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ (@ tptp.produc175634133007206835_int_o F) A) B) (@ F (@ (@ tptp.product_Pair_int_int A) B)))) (forall ((F (-> tptp.produc1319942482725812455at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ (@ tptp.produc447603880154497357_nat_o F) A) B) (@ F (@ (@ tptp.produc9060074326276436823at_nat A) B)))) (forall ((F (-> tptp.produc3843707927480180839at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ tptp.produc7820828192191229133_nat_o F) A) B) (@ F (@ (@ tptp.produc2922128104949294807at_nat A) B)))) (forall ((F (-> tptp.product_prod_nat_num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ (@ tptp.produc156083480235303841_num_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_num A) B)))) (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ (@ tptp.produc1310100445399344235_nat_o F) A) B) (@ F (@ (@ tptp.product_Pair_nat_nat A) B)))) (forall ((F (-> tptp.product_prod_int_int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ (@ tptp.produc175634133007206835_int_o F) A) B) (@ F (@ (@ tptp.product_Pair_int_int A) B)))) (forall ((X2 tptp.produc3843707927480180839at_nat) (A4 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat X2) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o A4))) (@ (@ A4 (@ tptp.produc6011863565407846595at_nat X2)) (@ tptp.produc2937545259423399429at_nat X2)))) (forall ((X2 tptp.product_prod_nat_nat) (A4 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o A4))) (@ (@ A4 (@ tptp.product_fst_nat_nat X2)) (@ tptp.product_snd_nat_nat X2)))) (forall ((X2 tptp.produc7812382424243267045t_unit) (A4 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (=> (@ (@ tptp.member7849944260330398460t_unit X2) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o A4))) (@ (@ A4 (@ tptp.produc473321116828791851t_unit X2)) (@ tptp.produc1126150082675451753t_unit X2)))) (forall ((X2 tptp.product_prod_int_int) (A4 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int X2) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o A4))) (@ (@ A4 (@ tptp.product_fst_int_int X2)) (@ tptp.product_snd_int_int X2)))) (forall ((H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (X2 tptp.ref_a)) (=> (= H H2) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_return_ref_a X2)) H) H2) X2))) (forall ((X2 tptp.ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_return_ref_a X2)) H) H2) R) (not (=> (= R X2) (not (= H2 H)))))) _let_285 _let_284 _let_283 _let_282 _let_281 (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))) (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))) (= tptp.produc4245557441103728435nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (P3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))) (= tptp.produc4947309494688390418_int_o (lambda ((F2 (-> tptp.int tptp.int Bool)) (P3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))) (= tptp.produc8211389475949308722nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.int)) (P3 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))) _let_280 _let_279 _let_278 _let_277 _let_276 (forall ((H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (V tptp.a) (H tptp.heap_e7401611519738050253t_unit) (X2 tptp.product_unit)) (=> (= H2 (@ (@ (@ tptp.set_a R) V) H)) (@ (@ (@ (@ tptp.heap_e2830298082929533060t_unit (@ (@ tptp.update_a R) V)) H) H2) X2))) (forall ((Q tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P tptp.product_prod_nat_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc27273713700761075at_nat F) P) (@ (@ tptp.produc27273713700761075at_nat G) Q))))) (forall ((Q tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc8739625826339149834_nat_o F) P) (@ (@ tptp.produc8739625826339149834_nat_o G) Q))))) (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G (-> tptp.int tptp.int tptp.product_prod_int_int)) (P tptp.product_prod_int_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc4245557441103728435nt_int F) P) (@ (@ tptp.produc4245557441103728435nt_int G) Q))))) (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int Bool)) (G (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc4947309494688390418_int_o F) P) (@ (@ tptp.produc4947309494688390418_int_o G) Q))))) (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int tptp.int)) (G (-> tptp.int tptp.int tptp.int)) (P tptp.product_prod_int_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (= (@ (@ tptp.product_Pair_int_int X) Y) Q) (= (@ (@ F X) Y) (@ (@ G X) Y)))) (=> (= P Q) (= (@ (@ tptp.produc8211389475949308722nt_int F) P) (@ (@ tptp.produc8211389475949308722nt_int G) Q))))) (forall ((F (-> (-> tptp.product_prod_nat_nat tptp.int Bool) tptp.produc4196048018000912732at_int Bool)) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ (@ (@ (@ tptp.bNF_cs7194553038297458973at_int (@ tptp.collec2851339944984316337at_int (@ F (@ (@ tptp.relcom8911704206367525917at_int P2) Q2)))) tptp.produc6408287024330202629at_nat) tptp.produc4619704898428564714at_int) (@ (@ tptp.bNF_fs6342258632037972510at_int P2) Q2)) (@ (@ tptp.bNF_sn649997494946348640at_int P2) Q2))) (forall ((F (-> (-> tptp.int tptp.code_integer Bool) tptp.produc2963269191615333738nteger Bool)) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool))) (@ (@ (@ (@ (@ tptp.bNF_cs4943907971211754724nteger (@ tptp.collec7215431352809750357nteger (@ F (@ (@ tptp.relcom967497705283160040nteger P2) Q2)))) tptp.product_snd_int_int) tptp.produc45500017171379470nteger) (@ (@ tptp.bNF_fs4543836202474805097nteger P2) Q2)) (@ (@ tptp.bNF_sn8000174127721201323nteger P2) Q2))) (forall ((H2 tptp.heap_e7401611519738050253t_unit) (H tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (F (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a))) (=> (= H2 H) (=> (= R (@ F H)) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_tap_ref_a F)) H) H2) R)))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.ref_a)) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ tptp.heap_tap_ref_a F)) H) H2) R) (not (=> (= H2 H) (not (= R (@ F H))))))) (forall ((Y3 tptp.num) (X2 tptp.nat) (A4 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.member6570852975090897396um_nat (@ (@ tptp.product_Pair_num_nat Y3) X2)) (@ (@ tptp.image_2347970371937200581um_nat tptp.product_swap_nat_num) A4)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) A4))) (forall ((Y3 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat Y3) X2)) (@ (@ tptp.image_3313167189156628421at_nat tptp.produc5396952528824381687at_nat) A4)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) A4))) (forall ((Y3 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat Y3) X2)) (@ (@ tptp.image_960689587819713477at_nat tptp.produc3946833401584108663at_nat) A4)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) A4))) (forall ((Y3 tptp.nat) (X2 tptp.num) (A4 tptp.set_Pr3280342998896498603um_nat)) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num Y3) X2)) (@ (@ tptp.image_7762062833379733445at_num tptp.product_swap_num_nat) A4)) (@ (@ tptp.member6570852975090897396um_nat (@ (@ tptp.product_Pair_num_nat X2) Y3)) A4))) (forall ((Y3 tptp.nat) (X2 tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat Y3) X2)) (@ (@ tptp.image_5168914502847457605at_nat tptp.product_swap_nat_nat) A4)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) A4))) (forall ((Y3 tptp.int) (X2 tptp.int) (A4 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int Y3) X2)) (@ (@ tptp.image_2653370878348428101nt_int tptp.product_swap_int_int) A4)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) A4))) (forall ((P2 (-> tptp.ref_a tptp.ref_a Bool)) (Q2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (= tptp.produc1126150082675451753t_unit (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ (@ tptp.bNF_sn8323453914685745821t_unit P2) Q2)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (F3 (-> Bool Bool)) (G2 (-> tptp.nat Bool)) (X3 tptp.nat)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_o_o_nat F) G) X2) (@ (@ (@ tptp.comp_o_o_nat F3) G2) X3)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (F3 (-> tptp.nat tptp.num)) (G2 (-> tptp.int tptp.nat)) (X3 tptp.int)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_nat_num_int F) G) X2) (@ (@ (@ tptp.comp_nat_num_int F3) G2) X3)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (F3 (-> tptp.nat tptp.nat)) (G2 (-> tptp.nat tptp.nat)) (X3 tptp.nat)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_nat_nat_nat F) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat F3) G2) X3)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (F3 (-> tptp.int tptp.nat)) (G2 (-> tptp.int tptp.int)) (X3 tptp.int)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_nat_nat_nat F) G) X2) (@ (@ (@ tptp.comp_int_nat_int F3) G2) X3)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (F3 (-> tptp.nat tptp.nat)) (G2 (-> tptp.nat tptp.nat)) (X3 tptp.nat)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_int_nat_int F) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat F3) G2) X3)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (F3 (-> tptp.int tptp.nat)) (G2 (-> tptp.int tptp.int)) (X3 tptp.int)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_int_nat_int F) G) X2) (@ (@ (@ tptp.comp_int_nat_int F3) G2) X3)))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (F3 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X3 tptp.code_integer)) (=> (= (@ F (@ G X2)) (@ F3 (@ G2 X3))) (= (@ (@ (@ tptp.comp_C8797469213163452608nteger F) G) X2) (@ (@ (@ tptp.comp_C8797469213163452608nteger F3) G2) X3)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (H (-> Bool Bool)) (K (-> tptp.nat Bool))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_o_o_nat F) G) X2) (@ (@ (@ tptp.comp_o_o_nat H) K) X2)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (H (-> tptp.nat tptp.num)) (K (-> tptp.int tptp.nat))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_nat_num_int F) G) X2) (@ (@ (@ tptp.comp_nat_num_int H) K) X2)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (H (-> tptp.nat tptp.nat)) (K (-> tptp.nat tptp.nat))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_nat_nat_nat F) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat H) K) X2)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (H (-> tptp.int tptp.nat)) (K (-> tptp.int tptp.int))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_int_nat_int F) G) X2) (@ (@ (@ tptp.comp_int_nat_int H) K) X2)))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (H (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (K (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (= (@ F (@ G X2)) (@ H (@ K X2))) (= (@ (@ (@ tptp.comp_C8797469213163452608nteger F) G) X2) (@ (@ (@ tptp.comp_C8797469213163452608nteger H) K) X2)))) (forall ((P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A tptp.product_prod_nat_nat) (C tptp.int)) (let ((_let_1 (@ (@ (@ (@ tptp.bNF_pi770922605693484880at_int P2) Q2) A) C))) (=> (@ (@ (@ (@ tptp.relcom8911704206367525917at_int P2) Q2) A) C) (and (@ (@ P2 A) _let_1) (@ (@ Q2 _let_1) C))))) (forall ((P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool)) (A tptp.int) (C tptp.code_integer)) (let ((_let_1 (@ (@ (@ (@ tptp.bNF_pi4515785505327359899nteger P2) Q2) A) C))) (=> (@ (@ (@ (@ tptp.relcom967497705283160040nteger P2) Q2) A) C) (and (@ (@ P2 A) _let_1) (@ (@ Q2 _let_1) C))))) (forall ((Ac tptp.produc3843707927480180839at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (Q2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat Ac) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.relcom8363394528208558896at_nat P2) Q2)))) (@ (@ tptp.member8757157785044589968at_nat (@ (@ (@ tptp.bNF_sn1857951156667551021at_nat P2) Q2) Ac)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o Q2))))) (forall ((Ac tptp.product_prod_nat_nat) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat Ac) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.relcompp_nat_nat_nat P2) Q2)))) (@ (@ tptp.member8440522571783428010at_nat (@ (@ (@ tptp.bNF_sn8916957246138178918at_nat P2) Q2) Ac)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o Q2))))) (forall ((Ac tptp.produc4196048018000912732at_int) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ tptp.member8394280151737582451at_int Ac) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o (@ (@ tptp.relcom8911704206367525917at_int P2) Q2)))) (@ (@ tptp.member8394280151737582451at_int (@ (@ (@ tptp.bNF_sn649997494946348640at_int P2) Q2) Ac)) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o Q2))))) (forall ((Ac tptp.produc2963269191615333738nteger) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ tptp.member4345257455949424659nteger Ac) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o (@ (@ tptp.relcom967497705283160040nteger P2) Q2)))) (@ (@ tptp.member4345257455949424659nteger (@ (@ (@ tptp.bNF_sn8000174127721201323nteger P2) Q2) Ac)) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o Q2))))) (forall ((Ac tptp.product_prod_int_int) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int Ac) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.relcompp_int_int_int P2) Q2)))) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_sn1062102010912252026nt_int P2) Q2) Ac)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o Q2))))) (forall ((Ac tptp.produc3843707927480180839at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (Q2 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat Ac) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.relcom8363394528208558896at_nat P2) Q2)))) (@ (@ tptp.member8757157785044589968at_nat (@ (@ (@ tptp.bNF_fs1946732770515719151at_nat P2) Q2) Ac)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o P2))))) (forall ((Ac tptp.product_prod_nat_nat) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat Ac) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.relcompp_nat_nat_nat P2) Q2)))) (@ (@ tptp.member8440522571783428010at_nat (@ (@ (@ tptp.bNF_fs6799373675401686564at_nat P2) Q2) Ac)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o P2))))) (forall ((Ac tptp.produc4196048018000912732at_int) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ tptp.member8394280151737582451at_int Ac) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o (@ (@ tptp.relcom8911704206367525917at_int P2) Q2)))) (@ (@ tptp.member8206827879206165904at_nat (@ (@ (@ tptp.bNF_fs6342258632037972510at_int P2) Q2) Ac)) (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o P2))))) (forall ((Ac tptp.produc2963269191615333738nteger) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ tptp.member4345257455949424659nteger Ac) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o (@ (@ tptp.relcom967497705283160040nteger P2) Q2)))) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_fs4543836202474805097nteger P2) Q2) Ac)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o P2))))) (forall ((Ac tptp.product_prod_int_int) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int Ac) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.relcompp_int_int_int P2) Q2)))) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_fs8167890477030535480nt_int P2) Q2) Ac)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o P2))))) (forall ((F tptp.heap_Heap_ref_a) (G (-> tptp.ref_a tptp.heap_Heap_ref_a)) (H tptp.heap_e7401611519738050253t_unit) (H3 tptp.heap_e7401611519738050253t_unit) (R2 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_b146640354529102224_ref_a F) G)) H) H3) R2) (not (forall ((H4 tptp.heap_e7401611519738050253t_unit) (R4 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a F) H) H4) R4) (not (@ (@ (@ (@ tptp.heap_effect_ref_a (@ G R4)) H4) H3) R2))))))) (forall ((F tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a) (G (-> tptp.ref_a tptp.heap_Heap_ref_a)) (H3 tptp.heap_e7401611519738050253t_unit) (R2 tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a F) H) H2) R) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a (@ G R)) H2) H3) R2) (@ (@ (@ (@ tptp.heap_effect_ref_a (@ (@ tptp.heap_b146640354529102224_ref_a F) G)) H) H3) R2)))) (forall ((P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool))) (= tptp.produc473321116828791851t_unit (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ (@ tptp.bNF_fs409234558581511823t_unit P2) Q2)))) _let_275 _let_274 _let_273 _let_272 _let_271 (forall ((B Bool) (F (-> Bool Bool)) (X2 Bool) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_o B) (@ (@ tptp.image_o_o F) A4))))) (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (X2 Bool) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_nat B) (@ (@ tptp.image_o_nat F) A4))))) (forall ((B tptp.int) (F (-> Bool tptp.int)) (X2 Bool) (A4 tptp.set_o)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_int B) (@ (@ tptp.image_o_int F) A4))))) (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) A4))))) (forall ((B Bool) (F (-> tptp.nat Bool)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) A4))))) (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) A4))))) (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (X2 tptp.nat) (A4 tptp.set_nat)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) A4))))) (forall ((B Bool) (F (-> tptp.int Bool)) (X2 tptp.int) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_o B) (@ (@ tptp.image_int_o F) A4))))) (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (X2 tptp.int) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_nat B) (@ (@ tptp.image_int_nat F) A4))))) (forall ((B tptp.int) (F (-> tptp.int tptp.int)) (X2 tptp.int) (A4 tptp.set_int)) (=> (= B (@ F X2)) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_int B) (@ (@ tptp.image_int_int F) A4))))) (forall ((Inf (-> tptp.set_o Bool)) (G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ Inf (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.rat tptp.rat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_rat_rat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Inf (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_rat_rat_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_nat tptp.nat)) (G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Inf (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_int tptp.int)) (G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ Inf (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.int tptp.rat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_int_rat G) (@ (@ tptp.image_nat_int F) A4))) (@ Inf (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_int_rat_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_num tptp.num)) (G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_nat_num G) (@ (@ tptp.image_int_nat F) A4))) (@ Inf (@ (@ tptp.image_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4)))) (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Inf (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_nat_rat_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_int_nat F) A4))) (@ Inf (@ (@ tptp.image_int_rat (@ (@ tptp.comp_nat_rat_int G) F)) A4)))) (forall ((Inf (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Inf (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))) (forall ((Inf (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ Inf (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))) (forall ((Sup (-> tptp.set_o Bool)) (G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ Sup (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.rat tptp.rat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_rat_rat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Sup (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_rat_rat_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_nat tptp.nat)) (G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ Sup (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_int tptp.int)) (G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ Sup (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.int tptp.rat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_int_rat G) (@ (@ tptp.image_nat_int F) A4))) (@ Sup (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_int_rat_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_num tptp.num)) (G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_nat_num G) (@ (@ tptp.image_int_nat F) A4))) (@ Sup (@ (@ tptp.image_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4)))) (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Sup (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_nat_rat_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_nat_rat G) (@ (@ tptp.image_int_nat F) A4))) (@ Sup (@ (@ tptp.image_int_rat (@ (@ tptp.comp_nat_rat_int G) F)) A4)))) (forall ((Sup (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ Sup (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))) (forall ((Sup (-> tptp.set_nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ Sup (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (R tptp.set_nat)) (= (@ (@ tptp.image_o_o F) (@ (@ tptp.image_nat_o G) R)) (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat F) G)) R))) (forall ((F (-> tptp.rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (R tptp.set_nat)) (= (@ (@ tptp.image_rat_rat F) (@ (@ tptp.image_nat_rat G) R)) (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_rat_rat_nat F) G)) R))) (forall ((F (-> tptp.rat tptp.nat)) (G (-> tptp.nat tptp.rat)) (R tptp.set_nat)) (= (@ (@ tptp.image_rat_nat F) (@ (@ tptp.image_nat_rat G) R)) (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat F) G)) R))) (forall ((F (-> tptp.rat tptp.int)) (G (-> tptp.nat tptp.rat)) (R tptp.set_nat)) (= (@ (@ tptp.image_rat_int F) (@ (@ tptp.image_nat_rat G) R)) (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat F) G)) R))) (forall ((F (-> tptp.int tptp.rat)) (G (-> tptp.nat tptp.int)) (R tptp.set_nat)) (= (@ (@ tptp.image_int_rat F) (@ (@ tptp.image_nat_int G) R)) (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_int_rat_nat F) G)) R))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (R tptp.set_int)) (= (@ (@ tptp.image_nat_num F) (@ (@ tptp.image_int_nat G) R)) (@ (@ tptp.image_int_num (@ (@ tptp.comp_nat_num_int F) G)) R))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (R tptp.set_nat)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_nat_nat G) R)) (@ (@ tptp.image_nat_rat (@ (@ tptp.comp_nat_rat_nat F) G)) R))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (R tptp.set_int)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_int_nat G) R)) (@ (@ tptp.image_int_rat (@ (@ tptp.comp_nat_rat_int F) G)) R))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (R tptp.set_nat)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_nat_nat G) R)) (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat F) G)) R))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (R tptp.set_int)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_int_nat G) R)) (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int F) G)) R))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (G (-> tptp.nat Bool)) (B5 tptp.set_nat) (H (-> Bool Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat H))) (=> (= (@ (@ tptp.image_nat_o F) A4) (@ (@ tptp.image_nat_o G) B5)) (= (@ (@ tptp.image_nat_o (@ _let_1 F)) A4) (@ (@ tptp.image_nat_o (@ _let_1 G)) B5))))) (forall ((F (-> tptp.int tptp.rat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_int_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_int_nat (@ (@ tptp.comp_rat_nat_int H) F)) A4) (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat H) G)) B5)))) (forall ((F (-> tptp.int tptp.rat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_int_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_int_int (@ (@ tptp.comp_rat_int_int H) F)) A4) (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat H) G)) B5)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.int tptp.rat)) (B5 tptp.set_int) (H (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_int_rat G) B5)) (= (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat H) F)) A4) (@ (@ tptp.image_int_nat (@ (@ tptp.comp_rat_nat_int H) G)) B5)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.int tptp.rat)) (B5 tptp.set_int) (H (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_int_rat G) B5)) (= (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat H) F)) A4) (@ (@ tptp.image_int_int (@ (@ tptp.comp_rat_int_int H) G)) B5)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.rat))) (let ((_let_1 (@ tptp.comp_rat_rat_nat H))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_nat_rat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_rat (@ _let_1 G)) B5))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.nat))) (let ((_let_1 (@ tptp.comp_rat_nat_nat H))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_nat_nat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_nat (@ _let_1 G)) B5))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (H (-> tptp.rat tptp.int))) (let ((_let_1 (@ tptp.comp_rat_int_nat H))) (=> (= (@ (@ tptp.image_nat_rat F) A4) (@ (@ tptp.image_nat_rat G) B5)) (= (@ (@ tptp.image_nat_int (@ _let_1 F)) A4) (@ (@ tptp.image_nat_int (@ _let_1 G)) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (H (-> tptp.nat tptp.rat))) (let ((_let_1 (@ tptp.comp_nat_rat_nat H))) (=> (= (@ (@ tptp.image_nat_nat F) A4) (@ (@ tptp.image_nat_nat G) B5)) (= (@ (@ tptp.image_nat_rat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_rat (@ _let_1 G)) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat H))) (=> (= (@ (@ tptp.image_nat_nat F) A4) (@ (@ tptp.image_nat_nat G) B5)) (= (@ (@ tptp.image_nat_nat (@ _let_1 F)) A4) (@ (@ tptp.image_nat_nat (@ _let_1 G)) B5))))) (forall ((F (-> tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_P3428181540658402820nteger tptp.produc6174133586879617921nteger) (@ tptp.produc6499014454317279255nteger F)) (@ (@ tptp.comp_C1043215000170864188nteger F) tptp.produc6174133586879617921nteger))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ tptp.produc3038839249364385243_ref_a F)) (@ (@ tptp.comp_h4837689053573563144t_unit F) tptp.produc1126150082675451753t_unit))) (forall ((F (-> tptp.ref_a tptp.ref_a))) (= (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ tptp.produc4508741384315284437t_unit F)) (@ (@ tptp.comp_r2143332150499412868t_unit F) tptp.produc473321116828791851t_unit))) (forall ((Z2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat Z2) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.bNF_Gr6677838525845560078at_nat A4) F)))) (= (@ (@ (@ tptp.comp_s7355055891894327172at_nat F) tptp.produc6011863565407846595at_nat) Z2) (@ tptp.produc2937545259423399429at_nat Z2)))) (forall ((Z2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat Z2) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.bNF_Grp_nat_nat A4) F)))) (= (@ (@ (@ tptp.comp_n2711240574518091068at_nat F) tptp.product_fst_nat_nat) Z2) (@ tptp.product_snd_nat_nat Z2)))) (forall ((Z2 tptp.produc7812382424243267045t_unit) (A4 tptp.set_ref_a) (F (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit))) (=> (@ (@ tptp.member7849944260330398460t_unit Z2) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ tptp.bNF_Gr6510375311308651680t_unit A4) F)))) (= (@ (@ (@ tptp.comp_r3604920825623061426t_unit F) tptp.produc473321116828791851t_unit) Z2) (@ tptp.produc1126150082675451753t_unit Z2)))) (forall ((Z2 tptp.product_prod_int_int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int Z2) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.bNF_Grp_int_int A4) F)))) (= (@ (@ (@ tptp.comp_i4330622015127193916nt_int F) tptp.product_fst_int_int) Z2) (@ tptp.product_snd_int_int Z2)))) (forall ((X5 tptp.set_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (Y4 tptp.set_nat) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat A4))) (=> (= X5 (@ (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat) A4)) (=> (= Y4 (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) A4)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) X5) (forall ((Xa tptp.nat)) (=> (@ (@ tptp.member_nat Xa) Y4) (=> (@ (@ P2 X) Xa) (@ (@ Q2 X) Xa)))))) (=> (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o P2))) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o Q2))))))))) (forall ((X5 tptp.set_ref_a) (A4 tptp.set_Pr1133966238863718811t_unit) (Y4 tptp.set_he8644174446132254637t_unit) (P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (Q2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (let ((_let_1 (@ tptp.ord_le5525191956872776187t_unit A4))) (=> (= X5 (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) A4)) (=> (= Y4 (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) A4)) (=> (forall ((X tptp.ref_a)) (=> (@ (@ tptp.member_ref_a X) X5) (forall ((Xa tptp.heap_e7401611519738050253t_unit)) (=> (@ (@ tptp.member242389114213480694t_unit Xa) Y4) (=> (@ (@ P2 X) Xa) (@ (@ Q2 X) Xa)))))) (=> (@ _let_1 (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o P2))) (@ _let_1 (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o Q2))))))))) (forall ((X5 tptp.set_int) (A4 tptp.set_Pr958786334691620121nt_int) (Y4 tptp.set_int) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int A4))) (=> (= X5 (@ (@ tptp.image_5042161079198086560nt_int tptp.product_fst_int_int) A4)) (=> (= Y4 (@ (@ tptp.image_5042161079198086560nt_int tptp.product_snd_int_int) A4)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) X5) (forall ((Xa tptp.int)) (=> (@ (@ tptp.member_int Xa) Y4) (=> (@ (@ P2 X) Xa) (@ (@ Q2 X) Xa)))))) (=> (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o P2))) (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o Q2))))))))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ (@ tptp.produc3456481717235892722t_unit F) G)) (@ (@ tptp.comp_h4837689053573563144t_unit G) tptp.produc1126150082675451753t_unit))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ (@ tptp.produc3456481717235892722t_unit F) G)) (@ (@ tptp.comp_r2143332150499412868t_unit F) tptp.produc473321116828791851t_unit))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.num)) (A tptp.nat) (B tptp.num)) (= (@ (@ (@ tptp.produc1665548884793878990um_num F) G) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.nat)) (A tptp.nat) (B tptp.num)) (= (@ (@ (@ tptp.produc5108217098638100356um_nat F) G) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B)))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.num tptp.int)) (A tptp.nat) (B tptp.num)) (= (@ (@ (@ tptp.produc5477380188365894716um_int F) G) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.produc3535218481486409604at_num F) G) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.produc6977886695330630970at_nat F) G) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B)))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A tptp.nat) (B tptp.nat)) (= (@ (@ (@ tptp.produc7347049785058425330at_int F) G) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.num)) (A tptp.int) (B tptp.int)) (= (@ (@ (@ tptp.produc2224754261294513212nt_num F) G) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (A tptp.int) (B tptp.int)) (= (@ (@ (@ tptp.produc5667422475138734578nt_nat F) G) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B)))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A tptp.int) (B tptp.int)) (= (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B)))) (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.nat)) (G (-> tptp.set_Pr1261947904930325089at_nat tptp.num)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ (@ tptp.produc3932168101365401472at_num F) G) (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B)))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ (@ tptp.produc3456481717235892722t_unit F) G) X2)) (@ F (@ tptp.produc473321116828791851t_unit X2)))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ (@ tptp.produc3456481717235892722t_unit F) G) X2)) (@ G (@ tptp.produc1126150082675451753t_unit X2)))) (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.produc6529295065807390923at_nat F) (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.produc9060074326276436823at_nat (@ F X2)) Y3))) (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc5380969780118646373at_nat F) (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) Y3))) (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.num)) (= (@ (@ tptp.produc6767424583952363640at_num F) (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.product_Pair_nat_num (@ F X2)) Y3))) (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ tptp.produc986720760941809198at_nat F) (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_nat (@ F X2)) Y3))) (forall ((F (-> tptp.int tptp.int)) (X2 tptp.int) (Y3 tptp.int)) (= (@ (@ tptp.produc2355237562570658114nt_int F) (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.product_Pair_int_int (@ F X2)) Y3))) (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.produc9060074326276436823at_nat X2))) (= (@ (@ tptp.produc8057050257526108681at_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))) (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat X2))) (= (@ (@ tptp.produc6468969725218530979at_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))) (forall ((F (-> tptp.num tptp.num)) (X2 tptp.nat) (Y3 tptp.num)) (let ((_let_1 (@ tptp.product_Pair_nat_num X2))) (= (@ (@ tptp.produc8389275579088931588um_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))) (forall ((F (-> tptp.num tptp.nat)) (X2 tptp.nat) (Y3 tptp.num)) (= (@ (@ tptp.produc1035573138926686394at_nat F) (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.product_Pair_nat_nat X2) (@ F Y3)))) (forall ((F (-> tptp.nat tptp.num)) (X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ tptp.produc1225095714263496890um_nat F) (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.product_Pair_nat_num X2) (@ F Y3)))) (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.product_Pair_nat_nat X2))) (= (@ (@ tptp.produc3094765310956027504at_nat F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))) (forall ((F (-> tptp.int tptp.int)) (X2 tptp.int) (Y3 tptp.int)) (let ((_let_1 (@ tptp.product_Pair_int_int X2))) (= (@ (@ tptp.produc4463282112584876420nt_int F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (Y3 tptp.code_integer)) (let ((_let_1 (@ tptp.produc1086072967326762835nteger X2))) (= (@ (@ tptp.produc6499014454317279255nteger F) (@ _let_1 Y3)) (@ _let_1 (@ F Y3))))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc4508741384315284437t_unit F) X2)) (@ F (@ tptp.produc473321116828791851t_unit X2)))) (forall ((F (-> tptp.ref_a tptp.ref_a)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc4508741384315284437t_unit F) X2)) (@ tptp.produc1126150082675451753t_unit X2))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger)) (= (@ tptp.produc8508995932063986495nteger (@ (@ tptp.produc6499014454317279255nteger F) X2)) (@ tptp.produc8508995932063986495nteger X2))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc473321116828791851t_unit (@ (@ tptp.produc3038839249364385243_ref_a F) X2)) (@ tptp.produc473321116828791851t_unit X2))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger)) (= (@ tptp.produc6174133586879617921nteger (@ (@ tptp.produc6499014454317279255nteger F) X2)) (@ F (@ tptp.produc6174133586879617921nteger X2)))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ tptp.produc1126150082675451753t_unit (@ (@ tptp.produc3038839249364385243_ref_a F) X2)) (@ F (@ tptp.produc1126150082675451753t_unit X2)))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger) (G (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.produc6174133586879617921nteger X2))) (= (= (@ (@ tptp.produc6499014454317279255nteger F) X2) (@ (@ tptp.produc6499014454317279255nteger G) X2)) (= (@ F _let_1) (@ G _let_1))))) (forall ((A tptp.nat) (B tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_4925883905578568901at_num (@ (@ tptp.produc1665548884793878990um_num F) G)) R3)))) (forall ((A tptp.nat) (B tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.nat))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) R3) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B))) (@ (@ tptp.image_4217639968629731195at_nat (@ (@ tptp.produc5108217098638100356um_nat F) G)) R3)))) (forall ((A tptp.nat) (B tptp.num) (R3 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.int)) (G (-> tptp.num tptp.int))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) R3) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B))) (@ (@ tptp.image_1039142661021589043nt_int (@ (@ tptp.produc5477380188365894716um_int F) G)) R3)))) (forall ((A tptp.nat) (B tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_5877158439796295311at_num (@ (@ tptp.produc3535218481486409604at_num F) G)) R3)))) (forall ((A tptp.nat) (B tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R3) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B))) (@ (@ tptp.image_5168914502847457605at_nat (@ (@ tptp.produc6977886695330630970at_nat F) G)) R3)))) (forall ((A tptp.nat) (B tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R3) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B))) (@ (@ tptp.image_1990417195239315453nt_int (@ (@ tptp.produc7347049785058425330at_int F) G)) R3)))) (forall ((A tptp.int) (B tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.num))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_6540112122905407959at_num (@ (@ tptp.produc2224754261294513212nt_num F) G)) R3)))) (forall ((A tptp.int) (B tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R3) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F A)) (@ G B))) (@ (@ tptp.image_5831868185956570253at_nat (@ (@ tptp.produc5667422475138734578nt_nat F) G)) R3)))) (forall ((A tptp.int) (B tptp.int) (R3 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R3) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F A)) (@ G B))) (@ (@ tptp.image_2653370878348428101nt_int (@ (@ tptp.produc6036585564866528938nt_int F) G)) R3)))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.nat)) (G (-> tptp.set_Pr1261947904930325089at_nat tptp.num))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R3) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num (@ F A)) (@ G B))) (@ (@ tptp.image_8033574621161215657at_num (@ (@ tptp.produc3932168101365401472at_num F) G)) R3)))) (forall ((F (-> tptp.ref_a tptp.ref_a))) (= (@ (@ tptp.comp_P8019343326919024234t_unit tptp.produc1126150082675451753t_unit) (@ tptp.produc4508741384315284437t_unit F)) tptp.produc1126150082675451753t_unit)) (forall ((F (-> tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_P3428181540658402820nteger tptp.produc8508995932063986495nteger) (@ tptp.produc6499014454317279255nteger F)) tptp.produc8508995932063986495nteger)) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit))) (= (@ (@ tptp.comp_P4044372497395451596t_unit tptp.produc473321116828791851t_unit) (@ tptp.produc3038839249364385243_ref_a F)) tptp.produc473321116828791851t_unit)) (forall ((F (-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc2316621926130398489at_nat F) (@ (@ tptp.produc5080965012319039829_ref_a G) X2)) (@ (@ tptp.produc9060074326276436823at_nat (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc4016808307611786905at_nat F) (@ (@ tptp.produc2928627021203296111_ref_a G) X2)) (@ (@ tptp.produc2922128104949294807at_nat (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.ref_a tptp.nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.num)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc1704413584773205829at_num F) (@ (@ tptp.produc7633249859560231688_ref_a G) X2)) (@ (@ tptp.product_Pair_nat_num (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.ref_a tptp.nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc5147081798617427195at_nat F) (@ (@ tptp.produc8366372614399963582_ref_a G) X2)) (@ (@ tptp.product_Pair_nat_nat (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.ref_a tptp.int)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.int)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc6143945040009431475nt_int F) (@ (@ tptp.produc3558794870892339738_ref_a G) X2)) (@ (@ tptp.product_Pair_int_int (@ F (@ tptp.produc473321116828791851t_unit X2))) (@ G (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr4329608150637261639at_nat)) (G (-> tptp.ref_a tptp.set_Pr4329608150637261639at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc5990651871820846223at_nat F) (@ (@ tptp.produc5988837738927868575t_unit G) X2)) (@ (@ tptp.produc9060074326276436823at_nat (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.set_Pr1261947904930325089at_nat)) (G (-> tptp.ref_a tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc8705118745468743695at_nat F) (@ (@ tptp.produc5323809043756447493t_unit G) X2)) (@ (@ tptp.produc2922128104949294807at_nat (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.num)) (G (-> tptp.ref_a tptp.nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc3902377510303101371um_nat F) (@ (@ tptp.produc6942186945380262242t_unit G) X2)) (@ (@ tptp.product_Pair_nat_num (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.nat)) (G (-> tptp.ref_a tptp.nat)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc5772047106995631985at_nat F) (@ (@ tptp.produc6942186945380262242t_unit G) X2)) (@ (@ tptp.product_Pair_nat_nat (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.heap_e7401611519738050253t_unit tptp.int)) (G (-> tptp.ref_a tptp.int)) (X2 tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.produc6768910348387636265nt_int F) (@ (@ tptp.produc5845103964736263686t_unit G) X2)) (@ (@ tptp.product_Pair_int_int (@ G (@ tptp.produc473321116828791851t_unit X2))) (@ F (@ tptp.produc1126150082675451753t_unit X2))))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (G (-> tptp.code_integer tptp.code_integer)) (P tptp.produc8923325533196201883nteger)) (let ((_let_1 (@ tptp.produc6499014454317279255nteger F))) (let ((_let_2 (@ tptp.produc3195571438000033749nteger G))) (= (@ _let_1 (@ _let_2 P)) (@ _let_2 (@ _let_1 P)))))) (forall ((B5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (exists ((AA tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat AA) A4) (= B5 (@ (@ tptp.image_nat_rat F) AA)))))) (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (exists ((AA tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat AA) A4) (= B5 (@ (@ tptp.image_nat_nat F) AA)))))) (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (exists ((AA tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat AA) A4) (= B5 (@ (@ tptp.image_nat_int F) AA)))))) (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (exists ((AA tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int AA) A4) (= B5 (@ (@ tptp.image_int_nat F) AA)))))) (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (exists ((AA tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int AA) A4) (= B5 (@ (@ tptp.image_int_int F) AA)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (= (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.member_rat (@ F X4)) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.member_nat (@ F X4)) B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.member_nat (@ F X4)) B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.member_int (@ F X4)) B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.member_int (@ F X4)) B5))))) (forall ((B5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (not (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C2) A4) (not (= B5 (@ (@ tptp.image_nat_rat F) C2)))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (not (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C2) A4) (not (= B5 (@ (@ tptp.image_nat_nat F) C2)))))))) (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (not (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat C2) A4) (not (= B5 (@ (@ tptp.image_nat_int F) C2)))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (not (forall ((C2 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int C2) A4) (not (= B5 (@ (@ tptp.image_int_nat F) C2)))))))) (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (not (forall ((C2 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int C2) A4) (not (= B5 (@ (@ tptp.image_int_int F) C2)))))))) (forall ((A4 tptp.set_o) (F (-> Bool Bool)) (B5 tptp.set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_o_o F) A4)) B5))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_o_nat F) A4)) B5))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (B5 tptp.set_int)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_o_int F) A4)) B5))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_rat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o F) A4)) B5))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5))) (forall ((A4 tptp.set_int) (F (-> tptp.int Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_int_o F) A4)) B5))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool)) (I (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P4785046977597218846at_nat (@ (@ tptp.produc1928436952130685430_o_o_o F) G)) (@ (@ tptp.produc6957950696844810486_nat_o H) I)) (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P9057111047297513408at_int (@ (@ tptp.produc3628557804203378146at_num F) G)) (@ (@ tptp.produc8250590009387450446nt_nat H) I)) (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P4962864564169660718at_nat (@ (@ tptp.produc7071226018047599512at_nat F) G)) (@ (@ tptp.produc7251236297486395890at_nat H) I)) (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)))) (forall ((F (-> Bool Bool)) (G (-> tptp.int tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P465755969289462830at_int (@ (@ tptp.produc8070579729948654068nt_nat F) G)) (@ (@ tptp.produc8248099538878400170nt_int H) I)) (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_int_nat_int G) I)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> Bool Bool)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P5807473265676440968nt_nat (@ (@ tptp.produc3264868786340801506um_o_o F) G)) (@ (@ tptp.produc8298419091753553490_nat_o H) I)) (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_o_o_nat G) I)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P9218946435557410242nt_int (@ (@ tptp.produc1476026309457068494at_num F) G)) (@ (@ tptp.produc5667422475138734578nt_nat H) I)) (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_num_int G) I)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P5124699952429557552nt_nat (@ (@ tptp.produc4918694523301289860at_nat F) G)) (@ (@ tptp.produc4668068763237680022at_nat H) I)) (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P3772045228931366376nt_int (@ (@ tptp.produc5918048235202344416nt_nat F) G)) (@ (@ tptp.produc5664932004629684302nt_int H) I)) (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_int_nat_int G) I)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> Bool Bool)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P8901546994122883554at_nat (@ (@ tptp.produc2001155298098703512at_o_o F) G)) (@ (@ tptp.produc4787215299218314158_nat_o H) I)) (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P6334688330072917552at_int (@ (@ tptp.produc3535218481486409604at_num F) G)) (@ (@ tptp.produc7977240407231685526nt_nat H) I)) (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool)) (I (-> tptp.nat Bool)) (Prod tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc1928436952130685430_o_o_o F) G) (@ (@ (@ tptp.produc6957950696844810486_nat_o H) I) Prod)) (@ (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)) Prod))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.nat)) (Prod tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3628557804203378146at_num F) G) (@ (@ (@ tptp.produc8250590009387450446nt_nat H) I) Prod)) (@ (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)) Prod))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.nat tptp.nat)) (Prod tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc7071226018047599512at_nat F) G) (@ (@ (@ tptp.produc7251236297486395890at_nat H) I) Prod)) (@ (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)) Prod))) (forall ((F (-> Bool Bool)) (G (-> tptp.int tptp.nat)) (H (-> tptp.nat Bool)) (I (-> tptp.int tptp.int)) (Prod tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc8070579729948654068nt_nat F) G) (@ (@ (@ tptp.produc8248099538878400170nt_int H) I) Prod)) (@ (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_int_nat_int G) I)) Prod))) (forall ((F (-> tptp.nat tptp.num)) (G (-> Bool Bool)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat Bool)) (Prod tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc3264868786340801506um_o_o F) G) (@ (@ (@ tptp.produc8298419091753553490_nat_o H) I) Prod)) (@ (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_o_o_nat G) I)) Prod))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.nat)) (Prod tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc1476026309457068494at_num F) G) (@ (@ (@ tptp.produc5667422475138734578nt_nat H) I) Prod)) (@ (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_num_int G) I)) Prod))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.nat tptp.nat)) (Prod tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc4918694523301289860at_nat F) G) (@ (@ (@ tptp.produc4668068763237680022at_nat H) I) Prod)) (@ (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_nat_nat G) I)) Prod))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.nat)) (I (-> tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc5918048235202344416nt_nat F) G) (@ (@ (@ tptp.produc5664932004629684302nt_int H) I) Prod)) (@ (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_int_nat_int G) I)) Prod))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> Bool Bool)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.nat Bool)) (Prod tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc2001155298098703512at_o_o F) G) (@ (@ (@ tptp.produc4787215299218314158_nat_o H) I) Prod)) (@ (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_o_o_nat G) I)) Prod))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (H (-> tptp.nat tptp.nat)) (I (-> tptp.int tptp.nat)) (Prod tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3535218481486409604at_num F) G) (@ (@ (@ tptp.produc7977240407231685526nt_nat H) I) Prod)) (@ (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_nat_num_int G) I)) Prod))) (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> Bool Bool)) (G22 (-> tptp.nat Bool))) (= (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_o_o_nat G1) G22)) (@ (@ tptp.comp_P4785046977597218846at_nat (@ (@ tptp.produc1928436952130685430_o_o_o F1) G1)) (@ (@ tptp.produc6957950696844810486_nat_o F22) G22)))) (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat))) (= (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_nat_num_int G1) G22)) (@ (@ tptp.comp_P9057111047297513408at_int (@ (@ tptp.produc3628557804203378146at_num F1) G1)) (@ (@ tptp.produc8250590009387450446nt_nat F22) G22)))) (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_nat_nat_nat G1) G22)) (@ (@ tptp.comp_P4962864564169660718at_nat (@ (@ tptp.produc7071226018047599512at_nat F1) G1)) (@ (@ tptp.produc7251236297486395890at_nat F22) G22)))) (forall ((F1 (-> Bool Bool)) (F22 (-> tptp.nat Bool)) (G1 (-> tptp.int tptp.nat)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat F1) F22)) (@ (@ tptp.comp_int_nat_int G1) G22)) (@ (@ tptp.comp_P465755969289462830at_int (@ (@ tptp.produc8070579729948654068nt_nat F1) G1)) (@ (@ tptp.produc8248099538878400170nt_int F22) G22)))) (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> Bool Bool)) (G22 (-> tptp.nat Bool))) (= (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_o_o_nat G1) G22)) (@ (@ tptp.comp_P5807473265676440968nt_nat (@ (@ tptp.produc3264868786340801506um_o_o F1) G1)) (@ (@ tptp.produc8298419091753553490_nat_o F22) G22)))) (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat))) (= (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_nat_num_int G1) G22)) (@ (@ tptp.comp_P9218946435557410242nt_int (@ (@ tptp.produc1476026309457068494at_num F1) G1)) (@ (@ tptp.produc5667422475138734578nt_nat F22) G22)))) (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_nat_nat_nat G1) G22)) (@ (@ tptp.comp_P5124699952429557552nt_nat (@ (@ tptp.produc4918694523301289860at_nat F1) G1)) (@ (@ tptp.produc4668068763237680022at_nat F22) G22)))) (forall ((F1 (-> tptp.nat tptp.num)) (F22 (-> tptp.int tptp.nat)) (G1 (-> tptp.int tptp.nat)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int F1) F22)) (@ (@ tptp.comp_int_nat_int G1) G22)) (@ (@ tptp.comp_P3772045228931366376nt_int (@ (@ tptp.produc5918048235202344416nt_nat F1) G1)) (@ (@ tptp.produc5664932004629684302nt_int F22) G22)))) (forall ((F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.nat tptp.nat)) (G1 (-> Bool Bool)) (G22 (-> tptp.nat Bool))) (= (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat F1) F22)) (@ (@ tptp.comp_o_o_nat G1) G22)) (@ (@ tptp.comp_P8901546994122883554at_nat (@ (@ tptp.produc2001155298098703512at_o_o F1) G1)) (@ (@ tptp.produc4787215299218314158_nat_o F22) G22)))) (forall ((F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.nat tptp.nat)) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat))) (= (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat F1) F22)) (@ (@ tptp.comp_nat_num_int G1) G22)) (@ (@ tptp.comp_P6334688330072917552at_int (@ (@ tptp.produc3535218481486409604at_num F1) G1)) (@ (@ tptp.produc7977240407231685526nt_nat F22) G22)))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (G (-> tptp.code_integer tptp.code_integer)) (X2 tptp.produc8923325533196201883nteger)) (= (@ (@ tptp.produc6499014454317279255nteger F) (@ (@ tptp.produc6499014454317279255nteger G) X2)) (@ (@ tptp.produc6499014454317279255nteger (@ (@ tptp.comp_C7449957260575251196nteger F) G)) X2))) (forall ((Z2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat Z2) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.bNF_Gr6677838525845560078at_nat A4) F)))) (@ (@ tptp.member2643936169264416010at_nat (@ tptp.produc6011863565407846595at_nat Z2)) A4))) (forall ((Z2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat Z2) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.bNF_Grp_nat_nat A4) F)))) (@ (@ tptp.member_nat (@ tptp.product_fst_nat_nat Z2)) A4))) (forall ((Z2 tptp.produc7812382424243267045t_unit) (A4 tptp.set_ref_a) (F (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit))) (=> (@ (@ tptp.member7849944260330398460t_unit Z2) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ tptp.bNF_Gr6510375311308651680t_unit A4) F)))) (@ (@ tptp.member_ref_a (@ tptp.produc473321116828791851t_unit Z2)) A4))) (forall ((Z2 tptp.product_prod_int_int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int Z2) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.bNF_Grp_int_int A4) F)))) (@ (@ tptp.member_int (@ tptp.product_fst_int_int Z2)) A4))) (forall ((C tptp.product_prod_nat_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.num)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.image_4925883905578568901at_num (@ (@ tptp.produc1665548884793878990um_num F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.product_Pair_nat_num (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))) (forall ((C tptp.product_prod_nat_num) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.num)) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.image_5877158439796295311at_num (@ (@ tptp.produc3535218481486409604at_num F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= C (@ (@ tptp.product_Pair_nat_num (@ F X)) (@ G Y))) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R3))))))) (forall ((C tptp.product_prod_nat_num) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.num)) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.image_6540112122905407959at_num (@ (@ tptp.produc2224754261294513212nt_num F) G)) R3)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= C (@ (@ tptp.product_Pair_nat_num (@ F X)) (@ G Y))) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R3))))))) (forall ((C tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.num tptp.nat)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.image_4217639968629731195at_nat (@ (@ tptp.produc5108217098638100356um_nat F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.product_Pair_nat_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))) (forall ((C tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.image_5168914502847457605at_nat (@ (@ tptp.produc6977886695330630970at_nat F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= C (@ (@ tptp.product_Pair_nat_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R3))))))) (forall ((C tptp.product_prod_nat_nat) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.image_5831868185956570253at_nat (@ (@ tptp.produc5667422475138734578nt_nat F) G)) R3)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= C (@ (@ tptp.product_Pair_nat_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R3))))))) (forall ((C tptp.product_prod_int_int) (F (-> tptp.nat tptp.int)) (G (-> tptp.num tptp.int)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.image_1039142661021589043nt_int (@ (@ tptp.produc5477380188365894716um_int F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.product_Pair_int_int (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))) (forall ((C tptp.product_prod_int_int) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.image_1990417195239315453nt_int (@ (@ tptp.produc7347049785058425330at_int F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= C (@ (@ tptp.product_Pair_int_int (@ F X)) (@ G Y))) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R3))))))) (forall ((C tptp.product_prod_int_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.image_2653370878348428101nt_int (@ (@ tptp.produc6036585564866528938nt_int F) G)) R3)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= C (@ (@ tptp.product_Pair_int_int (@ F X)) (@ G Y))) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R3))))))) (forall ((C tptp.produc3843707927480180839at_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (G (-> tptp.num tptp.set_Pr1261947904930325089at_nat)) (R3 tptp.set_Pr6200539531224447659at_num)) (=> (@ (@ tptp.member8757157785044589968at_nat C) (@ (@ tptp.image_2708129733610033121at_nat (@ (@ tptp.produc170006858110003436at_nat F) G)) R3)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= C (@ (@ tptp.produc2922128104949294807at_nat (@ F X)) (@ G Y))) (not (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)) R3))))))) (forall ((X2 Bool) (A4 tptp.set_o) (B Bool) (F (-> Bool Bool))) (=> (@ (@ tptp.member_o X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_o_o F) A4))))) (forall ((X2 Bool) (A4 tptp.set_o) (B tptp.nat) (F (-> Bool tptp.nat))) (=> (@ (@ tptp.member_o X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_o_nat F) A4))))) (forall ((X2 Bool) (A4 tptp.set_o) (B tptp.int) (F (-> Bool tptp.int))) (=> (@ (@ tptp.member_o X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_o_int F) A4))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) A4))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B Bool) (F (-> tptp.nat Bool))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) A4))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) A4))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (B tptp.int) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member_nat X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) A4))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (B Bool) (F (-> tptp.int Bool))) (=> (@ (@ tptp.member_int X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_int_o F) A4))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (B tptp.nat) (F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member_int X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_int_nat F) A4))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (B tptp.int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member_int X2) A4) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_int_int F) A4))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.rat Bool))) (=> (forall ((X tptp.rat)) (=> (@ (@ tptp.member_rat X) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 X))) (forall ((X6 tptp.nat)) (=> (@ (@ tptp.member_nat X6) A4) (@ P2 (@ F X6)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 X))) (forall ((X6 tptp.nat)) (=> (@ (@ tptp.member_nat X6) A4) (@ P2 (@ F X6)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.int Bool))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) (@ (@ tptp.image_nat_int F) A4)) (@ P2 X))) (forall ((X6 tptp.nat)) (=> (@ (@ tptp.member_nat X6) A4) (@ P2 (@ F X6)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.nat Bool))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) (@ (@ tptp.image_int_nat F) A4)) (@ P2 X))) (forall ((X6 tptp.int)) (=> (@ (@ tptp.member_int X6) A4) (@ P2 (@ F X6)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) (@ (@ tptp.image_int_int F) A4)) (@ P2 X))) (forall ((X6 tptp.int)) (=> (@ (@ tptp.member_int X6) A4) (@ P2 (@ F X6)))))) (forall ((M tptp.set_nat) (N tptp.set_nat) (F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat))) (=> (= M N) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_nat_rat F) M) (@ (@ tptp.image_nat_rat G) N))))) (forall ((M tptp.set_nat) (N tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (= M N) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_nat_nat F) M) (@ (@ tptp.image_nat_nat G) N))))) (forall ((M tptp.set_nat) (N tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (=> (= M N) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_nat_int F) M) (@ (@ tptp.image_nat_int G) N))))) (forall ((M tptp.set_int) (N tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (= M N) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_int_nat F) M) (@ (@ tptp.image_int_nat G) N))))) (forall ((M tptp.set_int) (N tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (= M N) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) N) (= (@ F X) (@ G X)))) (= (@ (@ tptp.image_int_int F) M) (@ (@ tptp.image_int_int G) N))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.rat Bool))) (=> (exists ((X6 tptp.rat)) (and (@ (@ tptp.member_rat X6) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 X6))) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (@ P2 (@ F X)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (=> (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 X6))) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (@ P2 (@ F X)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.int Bool))) (=> (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) (@ (@ tptp.image_nat_int F) A4)) (@ P2 X6))) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (@ P2 (@ F X)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.nat Bool))) (=> (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) (@ (@ tptp.image_int_nat F) A4)) (@ P2 X6))) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (@ P2 (@ F X)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (=> (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) (@ (@ tptp.image_int_int F) A4)) (@ P2 X6))) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (@ P2 (@ F X)))))) (forall ((Z2 tptp.rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.member_rat Z2) (@ (@ tptp.image_nat_rat F) A4)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (= Z2 (@ F X4)))))) (forall ((Z2 tptp.nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.member_nat Z2) (@ (@ tptp.image_nat_nat F) A4)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (= Z2 (@ F X4)))))) (forall ((Z2 tptp.nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.member_nat Z2) (@ (@ tptp.image_int_nat F) A4)) (exists ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (= Z2 (@ F X4)))))) (forall ((Z2 tptp.int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.member_int Z2) (@ (@ tptp.image_nat_int F) A4)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (= Z2 (@ F X4)))))) (forall ((Z2 tptp.int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ (@ tptp.member_int Z2) (@ (@ tptp.image_int_int F) A4)) (exists ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (= Z2 (@ F X4)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool Bool))) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_o_o F) A4)))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat))) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_o_nat F) A4)))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.int))) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_o_int F) A4)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_rat (@ F X2)) (@ (@ tptp.image_nat_rat F) A4)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat Bool))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_nat_o F) A4)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_nat_nat F) A4)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_nat_int F) A4)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int Bool))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_int_o F) A4)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_int_nat F) A4)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_int_int F) A4)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.rat)) (D (-> tptp.nat tptp.rat)) (Sup (-> tptp.set_rat tptp.rat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_nat_rat C3) A4)) (@ Sup (@ (@ tptp.image_nat_rat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat)) (Sup (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_nat_nat C3) A4)) (@ Sup (@ (@ tptp.image_nat_nat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int)) (Sup (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_nat_int C3) A4)) (@ Sup (@ (@ tptp.image_nat_int D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat)) (Sup (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_int_nat C3) A4)) (@ Sup (@ (@ tptp.image_int_nat D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int)) (Sup (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Sup (@ (@ tptp.image_int_int C3) A4)) (@ Sup (@ (@ tptp.image_int_int D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.rat)) (D (-> tptp.nat tptp.rat)) (Inf (-> tptp.set_rat tptp.rat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_nat_rat C3) A4)) (@ Inf (@ (@ tptp.image_nat_rat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat)) (Inf (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_nat_nat C3) A4)) (@ Inf (@ (@ tptp.image_nat_nat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int)) (Inf (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_nat_int C3) A4)) (@ Inf (@ (@ tptp.image_nat_int D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat)) (Inf (-> tptp.set_nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_int_nat C3) A4)) (@ Inf (@ (@ tptp.image_int_nat D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int)) (Inf (-> tptp.set_int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ Inf (@ (@ tptp.image_int_int C3) A4)) (@ Inf (@ (@ tptp.image_int_int D) B5)))))) (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> tptp.nat Bool)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_o_o_nat A) B) C) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.int tptp.num)) (V tptp.int)) (=> (= (@ (@ tptp.comp_nat_num_int A) B) C) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) C) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (V tptp.int)) (=> (= (@ (@ tptp.comp_int_nat_int A) B) C) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (V tptp.code_integer)) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) C) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> Bool Bool)) (D2 (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_o_nat A) B) (@ (@ tptp.comp_o_o_nat C) D2)) (forall ((V4 tptp.nat)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))) (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.nat tptp.num)) (D2 (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_num_int A) B) (@ (@ tptp.comp_nat_num_int C) D2)) (forall ((V4 tptp.int)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))) (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (D2 (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) (@ (@ tptp.comp_nat_nat_nat C) D2)) (forall ((V4 tptp.nat)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))) (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (D2 (-> tptp.int tptp.int))) (=> (= (@ (@ tptp.comp_int_nat_int A) B) (@ (@ tptp.comp_int_nat_int C) D2)) (forall ((V4 tptp.int)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))) (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (D2 (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) (@ (@ tptp.comp_C8797469213163452608nteger C) D2)) (forall ((V4 tptp.code_integer)) (= (@ A (@ B V4)) (@ C (@ D2 V4)))))) (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> Bool Bool)) (D2 (-> tptp.nat Bool)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_o_o_nat A) B) (@ (@ tptp.comp_o_o_nat C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))) (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.nat tptp.num)) (D2 (-> tptp.int tptp.nat)) (V tptp.int)) (=> (= (@ (@ tptp.comp_nat_num_int A) B) (@ (@ tptp.comp_nat_num_int C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))) (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (D2 (-> tptp.nat tptp.nat)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) (@ (@ tptp.comp_nat_nat_nat C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))) (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (D2 (-> tptp.int tptp.int)) (V tptp.int)) (=> (= (@ (@ tptp.comp_int_nat_int A) B) (@ (@ tptp.comp_int_nat_int C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))) (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (D2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (V tptp.code_integer)) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) (@ (@ tptp.comp_C8797469213163452608nteger C) D2)) (= (@ A (@ B V)) (@ C (@ D2 V))))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (= (@ (@ tptp.comp_nat_o_nat (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_nat_o_nat G) H))))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (= (@ (@ tptp.comp_int_num_int (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H))))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) G)) H) (@ (@ tptp.comp_o_o_nat F) (@ (@ tptp.comp_o_o_nat G) H)))) (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_num_num_nat F) G)) H) (@ (@ tptp.comp_num_num_int F) (@ (@ tptp.comp_nat_num_int G) H)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) G)) H) (@ (@ tptp.comp_nat_num_int F) (@ (@ tptp.comp_nat_nat_int G) H)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (= (@ (@ tptp.comp_nat_nat_nat (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_nat_nat_nat G) H))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_nat_int F))) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_int_int_int G) H))))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (= (@ (@ tptp.comp_C1593894019821074884nteger (@ _let_1 G)) H) (@ _let_1 (@ (@ tptp.comp_C2931745410781319416nteger G) H))))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C8797469213163452608nteger (@ (@ tptp.comp_C3983183376822107068nteger F) G)) H) (@ (@ tptp.comp_C8797469213163452608nteger F) (@ (@ tptp.comp_C2822359487432382964nteger G) H)))) (= tptp.comp_o_o_nat (lambda ((F2 (-> Bool Bool)) (G3 (-> tptp.nat Bool)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))) (= tptp.comp_nat_num_int (lambda ((F2 (-> tptp.nat tptp.num)) (G3 (-> tptp.int tptp.nat)) (X4 tptp.int)) (@ F2 (@ G3 X4)))) (= tptp.comp_nat_nat_nat (lambda ((F2 (-> tptp.nat tptp.nat)) (G3 (-> tptp.nat tptp.nat)) (X4 tptp.nat)) (@ F2 (@ G3 X4)))) (= tptp.comp_int_nat_int (lambda ((F2 (-> tptp.int tptp.nat)) (G3 (-> tptp.int tptp.int)) (X4 tptp.int)) (@ F2 (@ G3 X4)))) (= tptp.comp_C8797469213163452608nteger (lambda ((F2 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G3 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X4 tptp.code_integer) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ (@ F2 (@ G3 X4)) __flatten_var_0))) (forall ((Q tptp.produc1319942482725812455at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (P tptp.produc1319942482725812455at_nat)) (=> (= Q (@ (@ tptp.produc6529295065807390923at_nat F) P)) (not (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (= P (@ (@ tptp.produc9060074326276436823at_nat X) Y)) (not (= Q (@ (@ tptp.produc9060074326276436823at_nat (@ F X)) Y)))))))) (forall ((Q tptp.produc3843707927480180839at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (P tptp.produc3843707927480180839at_nat)) (=> (= Q (@ (@ tptp.produc5380969780118646373at_nat F) P)) (not (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (= P (@ (@ tptp.produc2922128104949294807at_nat X) Y)) (not (= Q (@ (@ tptp.produc2922128104949294807at_nat (@ F X)) Y)))))))) (forall ((Q tptp.product_prod_nat_num) (F (-> tptp.nat tptp.nat)) (P tptp.product_prod_nat_num)) (=> (= Q (@ (@ tptp.produc6767424583952363640at_num F) P)) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (= Q (@ (@ tptp.product_Pair_nat_num (@ F X)) Y)))))))) (forall ((Q tptp.product_prod_nat_nat) (F (-> tptp.nat tptp.nat)) (P tptp.product_prod_nat_nat)) (=> (= Q (@ (@ tptp.produc986720760941809198at_nat F) P)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (= Q (@ (@ tptp.product_Pair_nat_nat (@ F X)) Y)))))))) (forall ((Q tptp.product_prod_int_int) (F (-> tptp.int tptp.int)) (P tptp.product_prod_int_int)) (=> (= Q (@ (@ tptp.produc2355237562570658114nt_int F) P)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (= Q (@ (@ tptp.product_Pair_int_int (@ F X)) Y)))))))) (forall ((G1 (-> Bool Bool)) (G22 (-> Bool Bool)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.nat Bool)) (V tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc1928436952130685430_o_o_o G1) G22) (@ (@ (@ tptp.produc6957950696844810486_nat_o F1) F22) V)) (@ (@ (@ tptp.produc6957950696844810486_nat_o (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_o_o_nat G22) F22)) V))) (forall ((G1 (-> Bool Bool)) (G22 (-> tptp.nat tptp.num)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.int tptp.nat)) (V tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3628557804203378146at_num G1) G22) (@ (@ (@ tptp.produc8250590009387450446nt_nat F1) F22) V)) (@ (@ (@ tptp.produc4807921795543229080nt_num (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_nat_num_int G22) F22)) V))) (forall ((G1 (-> Bool Bool)) (G22 (-> tptp.nat tptp.nat)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.nat tptp.nat)) (V tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc7071226018047599512at_nat G1) G22) (@ (@ (@ tptp.produc7251236297486395890at_nat F1) F22) V)) (@ (@ (@ tptp.produc7251236297486395890at_nat (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_nat_nat_nat G22) F22)) V))) (forall ((G1 (-> Bool Bool)) (G22 (-> tptp.int tptp.nat)) (F1 (-> tptp.nat Bool)) (F22 (-> tptp.int tptp.int)) (V tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc8070579729948654068nt_nat G1) G22) (@ (@ (@ tptp.produc8248099538878400170nt_int F1) F22) V)) (@ (@ (@ tptp.produc8250590009387450446nt_nat (@ (@ tptp.comp_o_o_nat G1) F1)) (@ (@ tptp.comp_int_nat_int G22) F22)) V))) (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> Bool Bool)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.nat Bool)) (V tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc3264868786340801506um_o_o G1) G22) (@ (@ (@ tptp.produc8298419091753553490_nat_o F1) F22) V)) (@ (@ (@ tptp.produc9074608839065728392_nat_o (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_o_o_nat G22) F22)) V))) (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.nat tptp.num)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.int tptp.nat)) (V tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc1476026309457068494at_num G1) G22) (@ (@ (@ tptp.produc5667422475138734578nt_nat F1) F22) V)) (@ (@ (@ tptp.produc165562089265172102nt_num (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_nat_num_int G22) F22)) V))) (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.nat tptp.nat)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.nat tptp.nat)) (V tptp.product_prod_int_nat)) (= (@ (@ (@ tptp.produc4918694523301289860at_nat G1) G22) (@ (@ (@ tptp.produc4668068763237680022at_nat F1) F22) V)) (@ (@ (@ tptp.produc2608876591208338912at_nat (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_nat_nat_nat G22) F22)) V))) (forall ((G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.int tptp.nat)) (F1 (-> tptp.int tptp.nat)) (F22 (-> tptp.int tptp.int)) (V tptp.product_prod_int_int)) (= (@ (@ (@ tptp.produc5918048235202344416nt_nat G1) G22) (@ (@ (@ tptp.produc5664932004629684302nt_int F1) F22) V)) (@ (@ (@ tptp.produc3608230303109393468nt_nat (@ (@ tptp.comp_nat_num_int G1) F1)) (@ (@ tptp.comp_int_nat_int G22) F22)) V))) (forall ((G1 (-> tptp.nat tptp.nat)) (G22 (-> Bool Bool)) (F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.nat Bool)) (V tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.produc2001155298098703512at_o_o G1) G22) (@ (@ (@ tptp.produc4787215299218314158_nat_o F1) F22) V)) (@ (@ (@ tptp.produc4787215299218314158_nat_o (@ (@ tptp.comp_nat_nat_nat G1) F1)) (@ (@ tptp.comp_o_o_nat G22) F22)) V))) (forall ((G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.num)) (F1 (-> tptp.nat tptp.nat)) (F22 (-> tptp.int tptp.nat)) (V tptp.product_prod_nat_int)) (= (@ (@ (@ tptp.produc3535218481486409604at_num G1) G22) (@ (@ (@ tptp.produc7977240407231685526nt_nat F1) F22) V)) (@ (@ (@ tptp.produc4534572193387464160nt_num (@ (@ tptp.comp_nat_nat_nat G1) F1)) (@ (@ tptp.comp_nat_num_int G22) F22)) V))) (forall ((R tptp.set_Pr7459493094073627847at_nat) (S2 tptp.set_Pr7459493094073627847at_nat)) (=> (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le5997549366648089703at_nat R) S2))) (forall ((R tptp.set_Pr4329608150637261639at_nat) (S2 tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le1268244103169919719at_nat R) S2))) (forall ((R tptp.set_Pr6200539531224447659at_num) (S2 tptp.set_Pr6200539531224447659at_num)) (=> (forall ((X tptp.nat) (Y tptp.num)) (let ((_let_1 (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le8085105155179020875at_num R) S2))) (forall ((R tptp.set_Pr1261947904930325089at_nat) (S2 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le3146513528884898305at_nat R) S2))) (forall ((R tptp.set_Pr958786334691620121nt_int) (S2 tptp.set_Pr958786334691620121nt_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (let ((_let_1 (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)))) (=> (@ _let_1 R) (@ _let_1 S2)))) (@ (@ tptp.ord_le2843351958646193337nt_int R) S2))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.set_rat Bool))) (= (forall ((B6 tptp.set_rat)) (=> (@ (@ tptp.ord_less_eq_set_rat B6) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_rat F) B6)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_nat F) B6)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_nat_int F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_int F) B6)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_int_nat F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_nat F) B6)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_int_int F) A4)) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_int F) B6)))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X5 tptp.set_Pr49084382684228242at_int) (X2 tptp.produc4196048018000912732at_int)) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat A4) B5) F) G) (=> (@ (@ tptp.ord_le4604737605482584818at_int X5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o A4))) (=> (@ (@ tptp.member8394280151737582451at_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_P8635049891247748876at_int F) tptp.produc4619704898428564714at_int) X2)) (@ (@ (@ tptp.comp_i5627883460353289149at_int G) tptp.produc3064508320661873192at_int) X2)))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int)) (X5 tptp.set_Pr49084382684228242at_int) (X2 tptp.produc4196048018000912732at_int)) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int A4) B5) F) G) (=> (@ (@ tptp.ord_le4604737605482584818at_int X5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o A4))) (=> (@ (@ tptp.member8394280151737582451at_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_P4524073163769703009at_int F) tptp.produc4619704898428564714at_int) X2)) (@ (@ (@ tptp.comp_i4519014998770822500at_int G) tptp.produc3064508320661873192at_int) X2)))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool)) (X5 tptp.set_Pr49084382684228242at_int) (X2 tptp.produc4196048018000912732at_int)) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o A4) B5) F) G) (=> (@ (@ tptp.ord_le4604737605482584818at_int X5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o A4))) (=> (@ (@ tptp.member8394280151737582451at_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_P7900071416159368952at_int F) tptp.produc4619704898428564714at_int) X2)) (@ (@ (@ tptp.comp_i653165354545908656at_int G) tptp.produc3064508320661873192at_int) X2)))))) (forall ((A4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num)) (X5 tptp.set_Pr8415741480598773322nteger) (X2 tptp.produc2963269191615333738nteger)) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num A4) B5) F) G) (=> (@ (@ tptp.ord_le2638047946463454698nteger X5) (@ tptp.collec7215431352809750357nteger (@ tptp.produc540600059291021473eger_o A4))) (=> (@ (@ tptp.member4345257455949424659nteger X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_i3846818780818535807nteger F) tptp.produc45500017171379470nteger) X2)) (@ (@ (@ tptp.comp_C8580465762518603278nteger G) tptp.produc2153544567185597776nteger) X2)))))) (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num)) (X5 tptp.set_Pr958786334691620121nt_int) (X2 tptp.product_prod_int_int)) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num A4) B5) F) G) (=> (@ (@ tptp.ord_le2843351958646193337nt_int X5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o A4))) (=> (@ (@ tptp.member5262025264175285858nt_int X2) X5) (@ (@ B5 (@ (@ (@ tptp.comp_i7231038107349025742nt_int F) tptp.product_fst_int_int) X2)) (@ (@ (@ tptp.comp_i7231038107349025742nt_int G) tptp.product_snd_int_int) X2)))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat (@ (@ tptp.bNF_co8276296344278409722at_nat (@ (@ tptp.comp_n2711240574518091068at_nat F) tptp.product_fst_nat_nat)) (@ (@ tptp.comp_n2711240574518091068at_nat G) tptp.product_snd_nat_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ (@ tptp.bNF_vi6667456707345531737_nat_o F) G) R3))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))) (forall ((F (-> tptp.ref_a tptp.nat)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_4710180989675653397at_nat (@ (@ tptp.bNF_co5610825919353547504at_nat (@ (@ tptp.comp_r8155216869944865719t_unit F) tptp.produc473321116828791851t_unit)) (@ (@ tptp.comp_h8354993580257045729t_unit G) tptp.produc1126150082675451753t_unit))) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ (@ tptp.bNF_vi4623496019404053219_nat_o F) G) R3))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (R3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_1990417195239315453nt_int (@ (@ tptp.bNF_co49787548815638194nt_int (@ (@ tptp.comp_n5749082658982224864at_nat F) tptp.product_fst_nat_nat)) (@ (@ tptp.comp_n5749082658982224864at_nat G) tptp.product_snd_nat_nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ (@ tptp.bNF_vi8357618154448083105_int_o F) G) R3))))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))) (forall ((F (-> tptp.ref_a tptp.int)) (G (-> tptp.heap_e7401611519738050253t_unit tptp.int)) (R3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_1531683682067511245nt_int (@ (@ tptp.bNF_co6607689160745551784nt_int (@ (@ tptp.comp_r7249815618783853587t_unit F) tptp.produc473321116828791851t_unit)) (@ (@ tptp.comp_h7449592329096033597t_unit G) tptp.produc1126150082675451753t_unit))) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o (@ (@ (@ tptp.bNF_vi7828673959370436579_int_o F) G) R3))))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5831868185956570253at_nat (@ (@ tptp.bNF_co2751916026326257842at_nat (@ (@ tptp.comp_i1292779930663060120nt_int F) tptp.product_fst_int_int)) (@ (@ tptp.comp_i1292779930663060120nt_int G) tptp.product_snd_int_int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ (@ tptp.bNF_vi2193923016096921761_nat_o F) G) R3))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (R3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2653370878348428101nt_int (@ (@ tptp.bNF_co3748779267718262122nt_int (@ (@ tptp.comp_i4330622015127193916nt_int F) tptp.product_fst_int_int)) (@ (@ tptp.comp_i4330622015127193916nt_int G) tptp.product_snd_int_int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o F) G) R3))))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))) (forall ((F (-> tptp.nat tptp.nat)) (Fa (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (Ga (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P1567445206330693457at_nat (@ (@ tptp.basic_876126793109182934at_nat F) Fa)) (@ (@ tptp.produc6977886695330630970at_nat G) Ga)) (@ (@ tptp.basic_876126793109182934at_nat (@ (@ tptp.comp_nat_nat_nat F) G)) (@ (@ tptp.comp_nat_nat_nat Fa) Ga)))) (forall ((F (-> tptp.nat tptp.nat)) (Fa (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.nat)) (Ga (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P397146161216181329at_int (@ (@ tptp.basic_873636322600132658at_int F) Fa)) (@ (@ tptp.produc7974749936722635250nt_int G) Ga)) (@ (@ tptp.basic_873636322600132658at_int (@ (@ tptp.comp_nat_nat_nat F) G)) (@ (@ tptp.comp_int_nat_int Fa) Ga)))) (forall ((F (-> tptp.int tptp.nat)) (Fa (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.int)) (Ga (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P3488689526429045841nt_nat (@ (@ tptp.basic_1875480505010237490nt_nat F) Fa)) (@ (@ tptp.produc5039722323474524658at_nat G) Ga)) (@ (@ tptp.basic_1875480505010237490nt_nat (@ (@ tptp.comp_int_nat_int F) G)) (@ (@ tptp.comp_nat_nat_nat Fa) Ga)))) (forall ((F (-> tptp.int tptp.nat)) (Fa (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (Ga (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P2318390481314533713nt_int (@ (@ tptp.basic_1872990034501187214nt_int F) Fa)) (@ (@ tptp.produc6036585564866528938nt_int G) Ga)) (@ (@ tptp.basic_1872990034501187214nt_int (@ (@ tptp.comp_int_nat_int F) G)) (@ (@ tptp.comp_int_nat_int Fa) Ga)))) _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat X5))) (=> (@ _let_1 Y4) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ tptp.fun_in_rel_nat_nat Y4))))))) (forall ((X5 tptp.set_Pr958786334691620121nt_int) (Y4 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int X5))) (=> (@ _let_1 Y4) (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ tptp.fun_in_rel_int_int Y4))))))) (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (Y4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat X5))) (=> (@ _let_1 (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ tptp.fun_in_rel_nat_nat Y4)))) (@ _let_1 Y4)))) (forall ((X5 tptp.set_Pr958786334691620121nt_int) (Y4 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int X5))) (=> (@ _let_1 (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ tptp.fun_in_rel_int_int Y4)))) (@ _let_1 Y4)))) (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T2 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.relcom8911704206367525917at_int R))) (= (@ (@ tptp.relcom2949942408940504938nt_int (@ _let_1 S2)) T2) (@ _let_1 (@ (@ tptp.relcom2949942408940504938nt_int S2) T2))))) (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool)) (T2 (-> tptp.code_integer tptp.code_integer Bool))) (let ((_let_1 (@ tptp.relcom967497705283160040nteger R))) (= (@ (@ tptp.relcom8320293257703906841nteger (@ _let_1 S2)) T2) (@ _let_1 (@ (@ tptp.relcom8320293257703906841nteger S2) T2))))) (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (T2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int (@ (@ tptp.relcom282571730187242960at_nat R) S2)) T2) (@ (@ tptp.relcom8911704206367525917at_int R) (@ (@ tptp.relcom8911704206367525917at_int S2) T2)))) (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.int Bool)) (T2 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger (@ (@ tptp.relcompp_int_int_int R) S2)) T2) (@ (@ tptp.relcom967497705283160040nteger R) (@ (@ tptp.relcom967497705283160040nteger S2) T2)))) _let_260 _let_259 (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat A4) B5) F) G))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int A4) B5) F) G))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o A4) B5) F) G))) (forall ((A4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num))) (=> (forall ((X tptp.int) (Y tptp.code_integer)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num A4) B5) F) G))) (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num))) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ A4 X) Y) (@ (@ B5 (@ F X)) (@ G Y)))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num A4) B5) F) G))) (forall ((Rb (-> Bool Bool Bool)) (Sd (-> Bool Bool Bool))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (@ (@ tptp.bNF_rel_fun_o_o_o_o Rb) Sd)) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_o_o_nat) tptp.comp_o_o_nat)) (forall ((Rb (-> Bool tptp.nat Bool)) (Sd (-> Bool tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re1515921786380824775at_nat (@ (@ tptp.bNF_re4209105892566519389_o_nat Rb) Sd)) (@ (@ tptp.bNF_re2144779315220482269at_nat (@ (@ tptp.bNF_re7523573913982466217_o_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7523573913982466217_o_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_o_o_nat) tptp.comp_nat_nat_nat)) (forall ((Rb (-> tptp.nat tptp.int Bool)) (Sd (-> tptp.num tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re5843449549409830101nt_nat (@ (@ tptp.bNF_re4155804983283621959um_nat Rb) Sd)) (@ (@ tptp.bNF_re3642433447925381491nt_nat (@ (@ tptp.bNF_re3713166177374151349at_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re1845987051190671011um_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_nat_num_int) tptp.comp_int_nat_int)) (forall ((Rb (-> tptp.nat Bool Bool)) (Sd (-> tptp.nat Bool Bool))) (@ (@ (@ (@ tptp.bNF_re3930744952143938759_nat_o (@ (@ tptp.bNF_re439150893885221597_nat_o Rb) Sd)) (@ (@ tptp.bNF_re7744223787735169245_nat_o (@ (@ tptp.bNF_re1402873238235875719_nat_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re1402873238235875719_nat_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_nat_nat_nat) tptp.comp_o_o_nat)) (forall ((Rb (-> tptp.nat tptp.nat Bool)) (Sd (-> tptp.nat tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat Rb) Sd)) (@ (@ tptp.bNF_re239970166668089693at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Sd))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat)) (forall ((Rb (-> tptp.int tptp.nat Bool)) (Sd (-> tptp.nat tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re4310571189260822741nt_num (@ (@ tptp.bNF_re9124706910656911431at_num Rb) Sd)) (@ (@ tptp.bNF_re7492190849051111027nt_num (@ (@ tptp.bNF_re4715010359784256181nt_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re272988434038980259at_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_int_nat_int) tptp.comp_nat_num_int)) (forall ((Rb (-> tptp.int tptp.int Bool)) (Sd (-> tptp.nat tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re6307232852808291833nt_nat (@ (@ tptp.bNF_re3715656647883201625at_nat Rb) Sd)) (@ (@ tptp.bNF_re2034674868506727813nt_nat (@ (@ tptp.bNF_re4712519889275205905nt_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_int_nat_int) tptp.comp_int_nat_int)) (forall ((Rb (-> tptp.nat tptp.nat Bool)) (Sd (-> tptp.num tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re3846787885862361009nt_num (@ (@ tptp.bNF_re341483209202555957um_num Rb) Sd)) (@ (@ tptp.bNF_re9099949428469764705nt_num (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_nat_num_int) tptp.comp_nat_num_int)) (forall ((Rb (-> tptp.num tptp.num Bool)) (Sd (-> tptp.num tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re5446066262214944985nt_num (@ (@ tptp.bNF_re4736500879113541833um_num Rb) Sd)) (@ (@ tptp.bNF_re4768042542643474933nt_num (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_num_num_int) tptp.comp_num_num_int)) (forall ((Rb (-> tptp.int tptp.code_integer Bool)) (Sd (-> tptp.num tptp.num Bool))) (@ (@ (@ (@ tptp.bNF_re7839584876883444355nt_num (@ (@ tptp.bNF_re6718328864250387230um_num Rb) Sd)) (@ (@ tptp.bNF_re2961086658867094474nt_num (@ (@ tptp.bNF_re982302072995117890nteger (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Rb)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sd))) tptp.comp_int_num_int) tptp.comp_C2177396528461469320um_int)) _let_258 _let_257 _let_256 _let_255 _let_254 (forall ((Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> tptp.nat tptp.nat Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat Y4) B5) F) G))))) (forall ((Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Y (-> tptp.int tptp.int))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int Y4) B5) F) G))))) (forall ((Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat Bool)) (Y (-> tptp.int Bool))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o Y4) B5) F) G))))) (forall ((Y4 (-> tptp.int tptp.code_integer Bool)) (X5 (-> tptp.int tptp.code_integer Bool)) (A4 (-> tptp.num tptp.num Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num))) (=> (forall ((X tptp.int) (Y tptp.code_integer)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num Y4) B5) F) G))))) (forall ((Y4 (-> tptp.int tptp.int Bool)) (X5 (-> tptp.int tptp.int Bool)) (A4 (-> tptp.num tptp.num Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num))) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num X5) A4) F) G) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num Y4) B5) F) G))))) (forall ((X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat)) (Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat X5) A4) F) G) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat Y4) B5) F) G))))) (forall ((X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int)) (Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool))) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int X5) A4) F) G) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Y (-> tptp.int tptp.int))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int Y4) B5) F) G))))) (forall ((X5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool)) (Y4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool))) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o X5) A4) F) G) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X (-> tptp.product_prod_nat_nat Bool)) (Y (-> tptp.int Bool))) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o Y4) B5) F) G))))) (forall ((X5 (-> tptp.int tptp.code_integer Bool)) (A4 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num)) (Y4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool))) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num X5) A4) F) G) (=> (forall ((X tptp.int) (Y tptp.code_integer)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num Y4) B5) F) G))))) (forall ((X5 (-> tptp.int tptp.int Bool)) (A4 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num)) (Y4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool))) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num X5) A4) F) G) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ Y4 X) Y) (@ (@ X5 X) Y))) (=> (forall ((X tptp.num) (Y tptp.num)) (=> (@ (@ A4 X) Y) (@ (@ B5 X) Y))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num Y4) B5) F) G))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> tptp.nat tptp.nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.int Bool)) (B5 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))) (forall ((A4 (-> tptp.int tptp.code_integer Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num)) (X2 tptp.int) (Y3 tptp.code_integer)) (=> (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))) (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.num tptp.num Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num)) (X2 tptp.int) (Y3 tptp.int)) (=> (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num A4) B5) F) G) (=> (@ (@ A4 X2) Y3) (@ (@ B5 (@ F X2)) (@ G Y3))))) (forall ((R3 (-> tptp.num tptp.num Bool)) (S5 (-> tptp.num tptp.num Bool))) (= (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.relcompp_num_num_num R3) S5)) (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3)) (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) S5)))) (forall ((R2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ tptp.ord_le5604493270027003598_nat_o R2) R) (=> (@ (@ tptp.ord_le129227817499904167_int_o S3) S2) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int R2) S3)) (@ (@ tptp.relcom8911704206367525917at_int R) S2))))) (forall ((R2 (-> tptp.int tptp.int Bool)) (R (-> tptp.int tptp.int Bool)) (S3 (-> tptp.int tptp.code_integer Bool)) (S2 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ tptp.ord_le6741204236512500942_int_o R2) R) (=> (@ (@ tptp.ord_le996066559646421213eger_o S3) S2) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger R2) S3)) (@ (@ tptp.relcom967497705283160040nteger R) S2))))) _let_253 _let_252 _let_251 _let_250 _let_249 (forall ((X5 (-> tptp.nat tptp.nat Bool))) (= (@ tptp.fun_in_rel_nat_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o X5))) X5)) (forall ((X5 (-> tptp.int tptp.int Bool))) (= (@ tptp.fun_in_rel_int_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o X5))) X5)) (forall ((A4 (-> tptp.nat tptp.nat Bool)) (B5 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.ord_le2646555220125990790_nat_o A4) B5) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o A4))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o B5))))) (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.ord_le6741204236512500942_int_o A4) B5) (@ (@ tptp.ord_le2843351958646193337nt_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o A4))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o B5))))) (forall ((G (-> tptp.num tptp.num)) (F (-> tptp.nat tptp.num)) (V (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_num_num_int G) (@ (@ tptp.comp_nat_num_int F) V)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_num_num_nat G) F)) V))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (V (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_nat_int G))) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int F) V)) (@ (@ tptp.comp_int_nat_int (@ _let_1 F)) V)))) (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (V (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_o_o_nat G))) (= (@ _let_1 (@ (@ tptp.comp_nat_o_nat F) V)) (@ (@ tptp.comp_nat_o_nat (@ _let_1 F)) V)))) (forall ((G (-> Bool Bool)) (F (-> Bool Bool)) (V (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat G) (@ (@ tptp.comp_o_o_nat F) V)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o G) F)) V))) (forall ((G (-> tptp.nat tptp.num)) (F (-> tptp.nat tptp.nat)) (V (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int G) (@ (@ tptp.comp_nat_nat_int F) V)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat G) F)) V))) (forall ((G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (V (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_num_int G))) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int F) V)) (@ (@ tptp.comp_int_num_int (@ _let_1 F)) V)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (V (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat G))) (= (@ _let_1 (@ (@ tptp.comp_nat_nat_nat F) V)) (@ (@ tptp.comp_nat_nat_nat (@ _let_1 F)) V)))) (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (V (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_int_nat_int G))) (= (@ _let_1 (@ (@ tptp.comp_int_int_int F) V)) (@ (@ tptp.comp_int_nat_int (@ _let_1 F)) V)))) (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (V (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger G))) (= (@ _let_1 (@ (@ tptp.comp_C2931745410781319416nteger F) V)) (@ (@ tptp.comp_C1593894019821074884nteger (@ _let_1 F)) V)))) (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (V (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C8797469213163452608nteger G) (@ (@ tptp.comp_C2822359487432382964nteger F) V)) (@ (@ tptp.comp_C8797469213163452608nteger (@ (@ tptp.comp_C3983183376822107068nteger G) F)) V))) (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A1 tptp.product_prod_nat_nat) (A22 tptp.int)) (=> (@ (@ (@ (@ tptp.relcom8911704206367525917at_int R) S2) A1) A22) (not (forall ((B3 tptp.product_prod_nat_nat)) (=> (@ (@ R A1) B3) (not (@ (@ S2 B3) A22))))))) (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool)) (A1 tptp.int) (A22 tptp.code_integer)) (=> (@ (@ (@ (@ tptp.relcom967497705283160040nteger R) S2) A1) A22) (not (forall ((B3 tptp.int)) (=> (@ (@ R A1) B3) (not (@ (@ S2 B3) A22))))))) (= tptp.relcom8911704206367525917at_int (lambda ((R5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S (-> tptp.product_prod_nat_nat tptp.int Bool)) (A12 tptp.product_prod_nat_nat) (A23 tptp.int)) (exists ((A5 tptp.product_prod_nat_nat) (B4 tptp.product_prod_nat_nat) (C4 tptp.int)) (and (= A12 A5) (= A23 C4) (@ (@ R5 A5) B4) (@ (@ S B4) C4))))) (= tptp.relcom967497705283160040nteger (lambda ((R5 (-> tptp.int tptp.int Bool)) (S (-> tptp.int tptp.code_integer Bool)) (A12 tptp.int) (A23 tptp.code_integer)) (exists ((A5 tptp.int) (B4 tptp.int) (C4 tptp.code_integer)) (and (= A12 A5) (= A23 C4) (@ (@ R5 A5) B4) (@ (@ S B4) C4))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int (lambda ((Y2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (= Y2 Z))) R3) R3)) (forall ((R3 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) R3)) (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (A tptp.product_prod_nat_nat) (C tptp.int)) (=> (@ (@ (@ (@ tptp.relcom8911704206367525917at_int R) S2) A) C) (not (forall ((B3 tptp.product_prod_nat_nat)) (=> (@ (@ R A) B3) (not (@ (@ S2 B3) C))))))) (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool)) (A tptp.int) (C tptp.code_integer)) (=> (@ (@ (@ (@ tptp.relcom967497705283160040nteger R) S2) A) C) (not (forall ((B3 tptp.int)) (=> (@ (@ R A) B3) (not (@ (@ S2 B3) C))))))) (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool)) (C tptp.int)) (=> (@ (@ R A) B) (=> (@ (@ S2 B) C) (@ (@ (@ (@ tptp.relcom8911704206367525917at_int R) S2) A) C)))) (forall ((R (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int) (S2 (-> tptp.int tptp.code_integer Bool)) (C tptp.code_integer)) (=> (@ (@ R A) B) (=> (@ (@ S2 B) C) (@ (@ (@ (@ tptp.relcom967497705283160040nteger R) S2) A) C)))) (forall ((H1 (-> Bool Bool)) (H22 (-> Bool Bool)) (F (-> tptp.nat Bool)) (G (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P7034811116587396339_o_nat (@ (@ tptp.produc1928436952130685430_o_o_o H1) H22)) (@ (@ tptp.bNF_convol_nat_o_o F) G)) (@ (@ tptp.bNF_convol_nat_o_o (@ (@ tptp.comp_o_o_nat H1) F)) (@ (@ tptp.comp_o_o_nat H22) G)))) (forall ((H1 (-> Bool Bool)) (H22 (-> tptp.nat tptp.nat)) (F (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P1391661485614827491at_nat (@ (@ tptp.produc7071226018047599512at_nat H1) H22)) (@ (@ tptp.bNF_convol_nat_o_nat F) G)) (@ (@ tptp.bNF_convol_nat_o_nat (@ (@ tptp.comp_o_o_nat H1) F)) (@ (@ tptp.comp_nat_nat_nat H22) G)))) (forall ((H1 (-> tptp.nat tptp.num)) (H22 (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P7387482301570536291um_int (@ (@ tptp.produc1476026309457068494at_num H1) H22)) (@ (@ tptp.bNF_co1177303703936631735at_nat F) G)) (@ (@ tptp.bNF_co5088337930254655563um_num (@ (@ tptp.comp_nat_num_int H1) F)) (@ (@ tptp.comp_nat_num_int H22) G)))) (forall ((H1 (-> tptp.nat tptp.num)) (H22 (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P8376639181999047357at_int (@ (@ tptp.produc5918048235202344416nt_nat H1) H22)) (@ (@ tptp.bNF_co1174813233427581459at_int F) G)) (@ (@ tptp.bNF_co8531006144098876929um_nat (@ (@ tptp.comp_nat_num_int H1) F)) (@ (@ tptp.comp_int_nat_int H22) G)))) (forall ((H1 (-> tptp.nat tptp.nat)) (H22 (-> Bool Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat Bool))) (= (@ (@ tptp.comp_P5799945282029801519_o_nat (@ (@ tptp.produc2001155298098703512at_o_o H1) H22)) (@ (@ tptp.bNF_convol_nat_nat_o F) G)) (@ (@ tptp.bNF_convol_nat_nat_o (@ (@ tptp.comp_nat_nat_nat H1) F)) (@ (@ tptp.comp_o_o_nat H22) G)))) (forall ((H1 (-> tptp.nat tptp.nat)) (H22 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P7430769850142754163at_nat (@ (@ tptp.produc6977886695330630970at_nat H1) H22)) (@ (@ tptp.bNF_co805650143699787099at_nat F) G)) (@ (@ tptp.bNF_co805650143699787099at_nat (@ (@ tptp.comp_nat_nat_nat H1) F)) (@ (@ tptp.comp_nat_nat_nat H22) G)))) (forall ((H1 (-> tptp.int tptp.nat)) (H22 (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_P1145193044942399421um_int (@ (@ tptp.produc1225400549393458656at_num H1) H22)) (@ (@ tptp.bNF_co2176657415837686291nt_nat F) G)) (@ (@ tptp.bNF_co6958007526947186177at_num (@ (@ tptp.comp_int_nat_int H1) F)) (@ (@ tptp.comp_nat_num_int H22) G)))) (forall ((H1 (-> tptp.int tptp.nat)) (H22 (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P2134349925370910487at_int (@ (@ tptp.produc5667422475138734578nt_nat H1) H22)) (@ (@ tptp.bNF_co2174166945328636015nt_int F) G)) (@ (@ tptp.bNF_co1177303703936631735at_nat (@ (@ tptp.comp_int_nat_int H1) F)) (@ (@ tptp.comp_int_nat_int H22) G)))) (forall ((H1 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H22 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_P8564252314792299288nteger (@ (@ tptp.produc4724772261320961782nteger H1) H22)) (@ (@ tptp.bNF_co6169604788974073338nteger F) G)) (@ (@ tptp.bNF_co3156833790671340178nteger (@ (@ tptp.comp_C8797469213163452608nteger H1) F)) (@ (@ tptp.comp_C8797469213163452608nteger H22) G)))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (H (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o7658611401268416066_o_nat (@ (@ tptp.bNF_convol_o_o_o F) G)) H) (@ (@ tptp.bNF_convol_nat_o_o (@ (@ tptp.comp_o_o_nat F) H)) (@ (@ tptp.comp_o_o_nat G) H)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_n8531277669757933902um_int (@ (@ tptp.bNF_co4716684370017810927um_num F) G)) H) (@ (@ tptp.bNF_co5088337930254655563um_num (@ (@ tptp.comp_nat_num_int F) H)) (@ (@ tptp.comp_nat_num_int G) H)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_n8574565218330151774at_nat (@ (@ tptp.bNF_co805650143699787099at_nat F) G)) H) (@ (@ tptp.bNF_co805650143699787099at_nat (@ (@ tptp.comp_nat_nat_nat F) H)) (@ (@ tptp.comp_nat_nat_nat G) H)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_i1108739374719436894at_int (@ (@ tptp.bNF_co1177303703936631735at_nat F) G)) H) (@ (@ tptp.bNF_co1177303703936631735at_nat (@ (@ tptp.comp_int_nat_int F) H)) (@ (@ tptp.comp_int_nat_int G) H)))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C6484513282182537548nteger (@ (@ tptp.bNF_co1764293801198077070nteger F) G)) H) (@ (@ tptp.bNF_co3156833790671340178nteger (@ (@ tptp.comp_C8797469213163452608nteger F) H)) (@ (@ tptp.comp_C8797469213163452608nteger G) H)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (H (-> tptp.int tptp.int))) (=> (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int R3) S5)) T3) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int (@ (@ (@ tptp.bNF_vi763171854521451549_nat_o F) G) R3)) (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o G) H) S5))) (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o F) H) T3)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.int tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.product_prod_nat_nat)) (H (-> tptp.code_integer tptp.int))) (=> (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int R3) S5)) T3) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger (@ (@ (@ tptp.bNF_vi1204582724742824157_nat_o F) G) R3)) (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o G) H) S5))) (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o F) H) T3)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool)) (T3 (-> tptp.int tptp.code_integer Bool)) (F (-> tptp.product_prod_nat_nat tptp.int)) (G (-> tptp.product_prod_nat_nat tptp.int)) (H (-> tptp.int tptp.code_integer))) (=> (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger R3) S5)) T3) (@ (@ tptp.ord_le129227817499904167_int_o (@ (@ tptp.relcom8911704206367525917at_int (@ (@ (@ tptp.bNF_vi2682369418337388893_int_o F) G) R3)) (@ (@ (@ tptp.bNF_vi33923956287962137eger_o G) H) S5))) (@ (@ (@ tptp.bNF_vi33923956287962137eger_o F) H) T3)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool)) (T3 (-> tptp.int tptp.code_integer Bool)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (H (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger R3) S5)) T3) (@ (@ tptp.ord_le996066559646421213eger_o (@ (@ tptp.relcom967497705283160040nteger (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o F) G) R3)) (@ (@ (@ tptp.bNF_vi699694178825965831eger_o G) H) S5))) (@ (@ (@ tptp.bNF_vi699694178825965831eger_o F) H) T3)))) (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.code_integer tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.relcom1848932251921554756er_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re40212662316476751um_num R7) S6))) (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom8320293257703906841nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))) (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.code_integer tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.relcom7779292856395800339nt_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re8313794964846168862um_num R7) S6))) (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcom328798225758222312er_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re7626690874201225453um_num R7) S6))) (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcompp_int_int_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool))) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.relcom1533066287727470739er_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re6718328864250387230um_num R7) S6))) (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (@ (@ tptp.ord_le7522433683449569238eger_o (@ (@ tptp.relcom7212586982944386682nteger (@ (@ tptp.bNF_re4712519889275205905nt_int R3) S5)) (@ (@ tptp.bNF_re3379532845092657523nteger R7) S6))) (@ (@ tptp.bNF_re3379532845092657523nteger (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.relcom4272412204205018633nt_nat (@ (@ tptp.bNF_re4555766996558763186at_nat R3) S5)) (@ (@ tptp.bNF_re3715656647883201625at_nat R7) S6))) (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom2949942408940504938nt_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.relcom531901107642208332nt_nat (@ (@ tptp.bNF_re8246922863344978751at_nat R3) S5)) (@ (@ tptp.bNF_re4555766996558763186at_nat R7) S6))) (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (@ (@ tptp.ord_le6141271677531915726eger_o (@ (@ tptp.relcom4574826104943343961nteger (@ (@ tptp.bNF_re20414067882207223nt_int R3) S5)) (@ (@ tptp.bNF_re6202762543029211035nteger R7) S6))) (@ (@ tptp.bNF_re6202762543029211035nteger (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ tptp.ord_le8615040745438789472_int_o (@ (@ tptp.relcom2127790875031262553er_int (@ (@ tptp.bNF_re8766404587435608311at_nat R3) S5)) (@ (@ tptp.bNF_re2828929484557863493at_int R7) S6))) (@ (@ tptp.bNF_re2828929484557863493at_int (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ tptp.relcom4982215633375716084nt_int (@ (@ tptp.bNF_re2241393799969408733at_nat R3) S5)) (@ (@ tptp.bNF_re7400052026677387805at_int R7) S6))) (@ (@ tptp.bNF_re7400052026677387805at_int (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6)))) (forall ((R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re4705727531993890431at_o_o R1))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (lambda ((Y2 (-> Bool Bool)) (Z (-> Bool Bool))) (= Y2 Z))) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ _let_1 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z))))) tptp.comp_o_o_nat) tptp.comp_o_o_nat))) (forall ((R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re5653821019739307937at_nat R1))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (lambda ((Y2 (-> tptp.nat tptp.nat)) (Z (-> tptp.nat tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re239970166668089693at_nat (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat))) (forall ((R1 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re6307232852808291833nt_nat (lambda ((Y2 (-> tptp.int tptp.nat)) (Z (-> tptp.int tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re2034674868506727813nt_nat (@ (@ tptp.bNF_re4712519889275205905nt_int R1) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)))) (@ (@ tptp.bNF_re3715656647883201625at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_int_nat_int) tptp.comp_int_nat_int)) (forall ((R1 (-> tptp.int tptp.code_integer Bool))) (@ (@ (@ (@ tptp.bNF_re2655444144887082515er_num (lambda ((Y2 (-> tptp.nat tptp.num)) (Z (-> tptp.nat tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re5502197115626545091er_num (@ (@ tptp.bNF_re2807294637932363402at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ (@ tptp.bNF_re6718328864250387230um_num R1) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_nat_num_int) tptp.comp_n2103536230552569900nteger)) (forall ((R1 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re3846787885862361009nt_num (lambda ((Y2 (-> tptp.nat tptp.num)) (Z (-> tptp.nat tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re9099949428469764705nt_num (@ (@ tptp.bNF_re3715656647883201625at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ (@ tptp.bNF_re7626690874201225453um_num R1) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_nat_num_int) tptp.comp_nat_num_int)) (forall ((R1 (-> tptp.int tptp.code_integer Bool))) (let ((_let_1 (@ tptp.bNF_re6718328864250387230um_num R1))) (@ (@ (@ (@ tptp.bNF_re4105200416192800571er_num (lambda ((Y2 (-> tptp.num tptp.num)) (Z (-> tptp.num tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re6292805115969292119er_num (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_num_num_int) tptp.comp_n8557746072492896886nteger))) (forall ((R1 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.bNF_re7626690874201225453um_num R1))) (@ (@ (@ (@ tptp.bNF_re5446066262214944985nt_num (lambda ((Y2 (-> tptp.num tptp.num)) (Z (-> tptp.num tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re4768042542643474933nt_num (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_num_num_int) tptp.comp_num_num_int))) (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re4099335476084980305nt_nat (lambda ((Y2 (-> tptp.int tptp.nat)) (Z (-> tptp.int tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re3284331099615978085nt_nat (@ (@ tptp.bNF_re5552630237950767466nt_int R1) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)))) (@ (@ tptp.bNF_re4555766996558763186at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_i4471277238271202272at_nat) tptp.comp_int_nat_int)) (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re2742285375668209089nt_num (lambda ((Y2 (-> tptp.nat tptp.num)) (Z (-> tptp.nat tptp.num))) (= Y2 Z))) (@ (@ tptp.bNF_re2682547871993127601nt_num (@ (@ tptp.bNF_re4555766996558763186at_nat R1) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ (@ tptp.bNF_re8466801222876787014um_num R1) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))))) tptp.comp_n8649498751204056690at_nat) tptp.comp_nat_num_int)) (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool))) (let ((_let_1 (@ tptp.bNF_re4555766996558763186at_nat R1))) (@ (@ (@ (@ tptp.bNF_re1160762158786734233nt_nat (lambda ((Y2 (-> tptp.nat tptp.nat)) (Z (-> tptp.nat tptp.nat))) (= Y2 Z))) (@ (@ tptp.bNF_re8419181437172746013nt_nat (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)))) (@ _let_1 (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))))) tptp.comp_n2711240574518091068at_nat) tptp.comp_nat_nat_int))) (forall ((R22 (-> Bool Bool Bool)) (R32 (-> Bool Bool Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re4705727531993890431at_o_o R1))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (@ (@ tptp.bNF_rel_fun_o_o_o_o R22) R32)) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_o_o_nat) tptp.comp_o_o_nat))) (forall ((R22 (-> Bool tptp.nat Bool)) (R32 (-> Bool tptp.num Bool)) (R1 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7387973359137000979nt_num (@ (@ tptp.bNF_re766437678722298023_o_num R22) R32)) (@ (@ tptp.bNF_re4102725726183926567nt_num (@ (@ tptp.bNF_re8210149947023016781_o_nat R1) R22)) (@ (@ tptp.bNF_re4767481733178795415_o_num R1) R32))) tptp.comp_o_o_nat) tptp.comp_nat_num_int)) (forall ((R22 (-> Bool tptp.nat Bool)) (R32 (-> Bool tptp.nat Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re7523573913982466217_o_nat R1))) (@ (@ (@ (@ tptp.bNF_re1515921786380824775at_nat (@ (@ tptp.bNF_re4209105892566519389_o_nat R22) R32)) (@ (@ tptp.bNF_re2144779315220482269at_nat (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_o_o_nat) tptp.comp_nat_nat_nat))) (forall ((R22 (-> Bool tptp.int Bool)) (R32 (-> Bool tptp.nat Bool)) (R1 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7413876800493218871nt_nat (@ (@ tptp.bNF_re4895681925607069953_o_nat R22) R32)) (@ (@ tptp.bNF_re1982657550219213441nt_nat (@ (@ tptp.bNF_re8207659476513966505_o_int R1) R22)) (@ (@ tptp.bNF_re8210149947023016781_o_nat R1) R32))) tptp.comp_o_o_nat) tptp.comp_int_nat_int)) (forall ((R22 (-> tptp.nat Bool Bool)) (R32 (-> tptp.num Bool Bool)) (R1 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re3931674169038344211_nat_o (@ (@ tptp.bNF_re8508505965575957011_num_o R22) R32)) (@ (@ tptp.bNF_re7435575058205011731_nat_o (@ (@ tptp.bNF_re4914077030771115051_nat_o R1) R22)) (@ (@ tptp.bNF_re3760060065607074657_num_o R1) R32))) tptp.comp_nat_num_int) tptp.comp_o_o_nat)) (forall ((R22 (-> tptp.nat tptp.nat Bool)) (R32 (-> tptp.num tptp.nat Bool)) (R1 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re6524732562925676389at_nat (@ (@ tptp.bNF_re3784151423046777323um_nat R22) R32)) (@ (@ tptp.bNF_re717418264989850719at_nat (@ (@ tptp.bNF_re3344003087646356989at_nat R1) R22)) (@ (@ tptp.bNF_re1474333490953826375um_nat R1) R32))) tptp.comp_nat_num_int) tptp.comp_nat_nat_nat)) (forall ((R22 (-> tptp.nat tptp.int Bool)) (R32 (-> tptp.num tptp.nat Bool)) (R1 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re5843449549409830101nt_nat (@ (@ tptp.bNF_re4155804983283621959um_nat R22) R32)) (@ (@ tptp.bNF_re3642433447925381491nt_nat (@ (@ tptp.bNF_re3713166177374151349at_int R1) R22)) (@ (@ tptp.bNF_re1845987051190671011um_nat R1) R32))) tptp.comp_nat_num_int) tptp.comp_int_nat_int)) (forall ((R22 (-> tptp.nat Bool Bool)) (R32 (-> tptp.nat Bool Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re1402873238235875719_nat_o R1))) (@ (@ (@ (@ tptp.bNF_re3930744952143938759_nat_o (@ (@ tptp.bNF_re439150893885221597_nat_o R22) R32)) (@ (@ tptp.bNF_re7744223787735169245_nat_o (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_nat_nat_nat) tptp.comp_o_o_nat))) (forall ((R22 (-> tptp.nat tptp.nat Bool)) (R32 (-> tptp.nat tptp.num Bool)) (R1 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re584878643992547173nt_num (@ (@ tptp.bNF_re2211152805895086571at_num R22) R32)) (@ (@ tptp.bNF_re8622501330148003679nt_num (@ (@ tptp.bNF_re6025474579976152573at_nat R1) R22)) (@ (@ tptp.bNF_re2582806366131931207at_num R1) R32))) tptp.comp_nat_nat_nat) tptp.comp_nat_num_int)) (forall ((R22 (-> tptp.nat tptp.nat Bool)) (R32 (-> tptp.nat tptp.nat Bool)) (R1 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re5653821019739307937at_nat R1))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat R22) R32)) (@ (@ tptp.bNF_re239970166668089693at_nat (@ _let_1 R22)) (@ _let_1 R32))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat))) (forall ((G (-> tptp.int tptp.int)) (H (-> tptp.nat tptp.int)) (R12 (-> tptp.nat tptp.int)) (R23 (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (L (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_int_int_nat G) H) (@ (@ tptp.comp_nat_int_nat R12) R23)) (=> (= (@ (@ tptp.comp_int_nat_nat F) R12) L) (= (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int F) G)) H) (@ (@ tptp.comp_nat_nat_nat L) R23))))) (forall ((G (-> tptp.nat tptp.int)) (H (-> tptp.nat tptp.nat)) (R12 (-> tptp.int tptp.int)) (R23 (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_int_nat G) H) (@ (@ tptp.comp_int_int_nat R12) R23)) (=> (= (@ (@ tptp.comp_int_nat_int F) R12) L) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_int_nat_nat F) G)) H) (@ (@ tptp.comp_int_nat_nat L) R23))))) (forall ((G (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int)) (R12 (-> tptp.int tptp.int)) (R23 (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ (@ tptp.comp_int_int_int G) H) (@ (@ tptp.comp_int_int_int R12) R23)) (=> (= (@ _let_1 R12) L) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ (@ tptp.comp_int_nat_int L) R23)))))) (forall ((G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R12 (-> Bool Bool)) (R23 (-> tptp.nat Bool)) (F (-> Bool Bool)) (L (-> Bool Bool))) (=> (= (@ (@ tptp.comp_nat_o_nat G) H) (@ (@ tptp.comp_o_o_nat R12) R23)) (=> (= (@ (@ tptp.comp_o_o_o F) R12) L) (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) G)) H) (@ (@ tptp.comp_o_o_nat L) R23))))) (forall ((G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R12 (-> Bool Bool)) (R23 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (L (-> Bool tptp.nat))) (=> (= (@ (@ tptp.comp_nat_o_nat G) H) (@ (@ tptp.comp_o_o_nat R12) R23)) (=> (= (@ (@ tptp.comp_o_nat_o F) R12) L) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat F) G)) H) (@ (@ tptp.comp_o_nat_nat L) R23))))) (forall ((G (-> tptp.int tptp.num)) (H (-> tptp.int tptp.int)) (R12 (-> tptp.nat tptp.num)) (R23 (-> tptp.int tptp.nat)) (F (-> tptp.num tptp.nat)) (L (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_int_num_int G) H) (@ (@ tptp.comp_nat_num_int R12) R23)) (=> (= (@ (@ tptp.comp_num_nat_nat F) R12) L) (= (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_num_nat_int F) G)) H) (@ (@ tptp.comp_nat_nat_int L) R23))))) (forall ((G (-> tptp.int tptp.nat)) (H (-> tptp.nat tptp.int)) (R12 (-> tptp.nat tptp.nat)) (R23 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.num)) (L (-> tptp.nat tptp.num))) (=> (= (@ (@ tptp.comp_int_nat_nat G) H) (@ (@ tptp.comp_nat_nat_nat R12) R23)) (=> (= (@ (@ tptp.comp_nat_num_nat F) R12) L) (= (@ (@ tptp.comp_int_num_nat (@ (@ tptp.comp_nat_num_int F) G)) H) (@ (@ tptp.comp_nat_num_nat L) R23))))) (forall ((G (-> Bool tptp.nat)) (H (-> tptp.nat Bool)) (R12 (-> tptp.nat tptp.nat)) (R23 (-> tptp.nat tptp.nat)) (F (-> tptp.nat Bool)) (L (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_nat_nat G) H) (@ (@ tptp.comp_nat_nat_nat R12) R23)) (=> (= (@ (@ tptp.comp_nat_o_nat F) R12) L) (= (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_nat_o_o F) G)) H) (@ (@ tptp.comp_nat_o_nat L) R23))))) (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R12 (-> tptp.int tptp.nat)) (R23 (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.nat)) (L (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_nat_int G) H) (@ (@ tptp.comp_int_nat_int R12) R23)) (=> (= (@ (@ tptp.comp_nat_nat_int F) R12) L) (= (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_nat_nat_nat F) G)) H) (@ (@ tptp.comp_int_nat_int L) R23))))) (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R12 (-> tptp.int tptp.nat)) (R23 (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.num)) (L (-> tptp.int tptp.num))) (=> (= (@ (@ tptp.comp_nat_nat_int G) H) (@ (@ tptp.comp_int_nat_int R12) R23)) (=> (= (@ (@ tptp.comp_nat_num_int F) R12) L) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) G)) H) (@ (@ tptp.comp_int_num_int L) R23))))) (forall ((F (-> Bool tptp.nat)) (G (-> Bool Bool)) (L1 (-> tptp.nat tptp.nat)) (L2 (-> Bool tptp.nat)) (H (-> tptp.nat Bool)) (R (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.comp_o_nat_o F) G) (@ (@ tptp.comp_nat_nat_o L1) L2)) (=> (= (@ (@ tptp.comp_o_nat_nat L2) H) R) (= (@ (@ tptp.comp_o_nat_nat F) (@ (@ tptp.comp_o_o_nat G) H)) (@ (@ tptp.comp_nat_nat_nat L1) R))))) (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.nat tptp.num)) (L1 (-> tptp.nat tptp.num)) (L2 (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_num_num_nat F) G) (@ (@ tptp.comp_nat_num_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_nat_int L2) H) R) (= (@ (@ tptp.comp_num_num_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_nat_num_int L1) R))))) (forall ((F (-> tptp.num tptp.nat)) (G (-> tptp.nat tptp.num)) (L1 (-> tptp.int tptp.nat)) (L2 (-> tptp.nat tptp.int)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.int))) (=> (= (@ (@ tptp.comp_num_nat_nat F) G) (@ (@ tptp.comp_int_nat_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_int_int L2) H) R) (= (@ (@ tptp.comp_num_nat_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_int_nat_int L1) R))))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (L1 (-> Bool Bool)) (L2 (-> Bool Bool)) (H (-> tptp.nat Bool)) (R (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_o_o F) G) (@ (@ tptp.comp_o_o_o L1) L2)) (=> (= (@ (@ tptp.comp_o_o_nat L2) H) R) (= (@ (@ tptp.comp_o_o_nat F) (@ (@ tptp.comp_o_o_nat G) H)) (@ (@ tptp.comp_o_o_nat L1) R))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> Bool tptp.nat)) (L1 (-> Bool tptp.nat)) (L2 (-> Bool Bool)) (H (-> tptp.nat Bool)) (R (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_nat_nat_o F) G) (@ (@ tptp.comp_o_nat_o L1) L2)) (=> (= (@ (@ tptp.comp_o_o_nat L2) H) R) (= (@ (@ tptp.comp_nat_nat_nat F) (@ (@ tptp.comp_o_nat_nat G) H)) (@ (@ tptp.comp_o_nat_nat L1) R))))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (L1 (-> tptp.num tptp.num)) (L2 (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.num))) (=> (= (@ (@ tptp.comp_nat_num_nat F) G) (@ (@ tptp.comp_num_num_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_num_int L2) H) R) (= (@ (@ tptp.comp_nat_num_int F) (@ (@ tptp.comp_nat_nat_int G) H)) (@ (@ tptp.comp_num_num_int L1) R))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.int)) (L1 (-> tptp.num tptp.nat)) (L2 (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.num))) (=> (= (@ (@ tptp.comp_int_nat_nat F) G) (@ (@ tptp.comp_num_nat_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_num_int L2) H) R) (= (@ (@ tptp.comp_int_nat_int F) (@ (@ tptp.comp_nat_int_int G) H)) (@ (@ tptp.comp_num_nat_int L1) R))))) (forall ((F (-> tptp.num Bool)) (G (-> tptp.nat tptp.num)) (L1 (-> Bool Bool)) (L2 (-> tptp.nat Bool)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int Bool))) (=> (= (@ (@ tptp.comp_num_o_nat F) G) (@ (@ tptp.comp_o_o_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_o_int L2) H) R) (= (@ (@ tptp.comp_num_o_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_o_o_int L1) R))))) (forall ((F (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat)) (L1 (-> Bool Bool)) (L2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat L1))) (let ((_let_2 (@ tptp.comp_nat_o_nat F))) (=> (= (@ _let_2 G) (@ _let_1 L2)) (=> (= (@ (@ tptp.comp_nat_o_nat L2) H) R) (= (@ _let_2 (@ (@ tptp.comp_nat_nat_nat G) H)) (@ _let_1 R))))))) (forall ((F (-> tptp.num tptp.nat)) (G (-> tptp.nat tptp.num)) (L1 (-> tptp.nat tptp.nat)) (L2 (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_num_nat_nat F) G) (@ (@ tptp.comp_nat_nat_nat L1) L2)) (=> (= (@ (@ tptp.comp_nat_nat_int L2) H) R) (= (@ (@ tptp.comp_num_nat_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_nat_nat_int L1) R))))) (forall ((G (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (R (-> tptp.nat Bool)) (F (-> Bool Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (=> (= (@ (@ tptp.comp_nat_o_nat G) H) R) (= (@ (@ tptp.comp_nat_o_nat (@ _let_1 G)) H) (@ _let_1 R))))) (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num))) (=> (= (@ (@ tptp.comp_nat_nat_int G) H) R) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) G)) H) (@ (@ tptp.comp_nat_num_int F) R)))) (forall ((G (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int)) (R (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ (@ tptp.comp_int_int_int G) H) R) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 R))))) (forall ((G (-> Bool Bool)) (H (-> tptp.nat Bool)) (R (-> tptp.nat Bool)) (F (-> Bool Bool))) (=> (= (@ (@ tptp.comp_o_o_nat G) H) R) (= (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) G)) H) (@ (@ tptp.comp_o_o_nat F) R)))) (forall ((G (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat)) (R (-> tptp.int tptp.num)) (F (-> tptp.num tptp.num))) (=> (= (@ (@ tptp.comp_nat_num_int G) H) R) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_num_num_nat F) G)) H) (@ (@ tptp.comp_num_num_int F) R)))) (forall ((G (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat)) (R (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (=> (= (@ (@ tptp.comp_nat_nat_nat G) H) R) (= (@ (@ tptp.comp_nat_nat_nat (@ _let_1 G)) H) (@ _let_1 R))))) (forall ((G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (R (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num))) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (=> (= (@ (@ tptp.comp_int_nat_int G) H) R) (= (@ (@ tptp.comp_int_num_int (@ _let_1 G)) H) (@ _let_1 R))))) (forall ((G (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (R (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_int F))) (=> (= (@ (@ tptp.comp_int_nat_int G) H) R) (= (@ (@ tptp.comp_int_nat_int (@ _let_1 G)) H) (@ _let_1 R))))) (forall ((G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer)) (R (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (=> (= (@ (@ tptp.comp_C2931745410781319416nteger G) H) R) (= (@ (@ tptp.comp_C1593894019821074884nteger (@ _let_1 G)) H) (@ _let_1 R))))) (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (R (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (= (@ (@ tptp.comp_C2822359487432382964nteger G) H) R) (= (@ (@ tptp.comp_C8797469213163452608nteger (@ (@ tptp.comp_C3983183376822107068nteger F) G)) H) (@ (@ tptp.comp_C8797469213163452608nteger F) R)))) (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.nat tptp.num)) (L (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_num_num_nat F) G) L) (= (@ (@ tptp.comp_num_num_int F) (@ (@ tptp.comp_nat_num_int G) H)) (@ (@ tptp.comp_nat_num_int L) H)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_nat_int F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H)) (@ (@ tptp.comp_int_nat_int L) H))))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (L (-> Bool Bool)) (H (-> tptp.nat Bool))) (=> (= (@ (@ tptp.comp_o_o_o F) G) L) (= (@ (@ tptp.comp_o_o_nat F) (@ (@ tptp.comp_o_o_nat G) H)) (@ (@ tptp.comp_o_o_nat L) H)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (L (-> tptp.nat tptp.num)) (H (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.comp_nat_num_nat F) G) L) (= (@ (@ tptp.comp_nat_num_int F) (@ (@ tptp.comp_nat_nat_int G) H)) (@ (@ tptp.comp_nat_num_int L) H)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (L (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_nat_o_nat G) H)) (@ (@ tptp.comp_nat_o_nat L) H))))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (L (-> tptp.int tptp.num)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_int_nat_int G) H)) (@ (@ tptp.comp_int_num_int L) H))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (L (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_nat_nat_nat G) H)) (@ (@ tptp.comp_nat_nat_nat L) H))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (L (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_int_int_int G) H)) (@ (@ tptp.comp_int_nat_int L) H))))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (L (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (=> (= (@ _let_1 G) L) (= (@ _let_1 (@ (@ tptp.comp_C2931745410781319416nteger G) H)) (@ (@ tptp.comp_C1593894019821074884nteger L) H))))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer tptp.code_integer)) (L (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (H (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (= (@ (@ tptp.comp_C3983183376822107068nteger F) G) L) (= (@ (@ tptp.comp_C8797469213163452608nteger F) (@ (@ tptp.comp_C2822359487432382964nteger G) H)) (@ (@ tptp.comp_C8797469213163452608nteger L) H)))) (forall ((M (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (N (-> Bool Bool)) (H (-> tptp.nat Bool)) (F (-> Bool Bool))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) M)) G) X2) (@ (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) N)) H) X2)))) (forall ((M (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (N (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_num_int (@ (@ tptp.comp_nat_num_int F) M)) G) X2) (@ (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) N)) H) X2)))) (forall ((M (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (N (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_nat_nat_nat F) M)) G) X2) (@ (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_nat_nat_int F) N)) H) X2)))) (forall ((M (-> tptp.int tptp.int)) (G (-> tptp.nat tptp.int)) (X2 tptp.nat) (N (-> tptp.nat tptp.int)) (H (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int F) M)) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_int_nat_nat F) N)) H) X2)))) (forall ((M (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (N (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat)) (F (-> Bool Bool))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) M)) G) X2) (@ (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) N)) H) X2)))) (forall ((M (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (N (-> tptp.int tptp.nat)) (H (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.num))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_nat_num_nat F) M)) G) X2) (@ (@ (@ tptp.comp_int_num_int (@ (@ tptp.comp_nat_num_int F) N)) H) X2)))) (forall ((M (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (N (-> tptp.int tptp.int)) (H (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_int_nat_nat F) M)) G) X2) (@ (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int F) N)) H) X2)))) (forall ((M (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (N (-> tptp.nat tptp.nat)) (H (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_nat_nat_nat (@ _let_1 M)) G) X2) (@ (@ (@ tptp.comp_nat_nat_nat (@ _let_1 N)) H) X2))))) (forall ((M (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (N (-> tptp.nat tptp.nat)) (H (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_nat_nat_int F) M)) G) X2) (@ (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_nat_nat_nat F) N)) H) X2)))) (forall ((M (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (N (-> tptp.int tptp.int)) (H (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (=> (= (@ M (@ G X2)) (@ N (@ H X2))) (= (@ (@ (@ tptp.comp_int_nat_int (@ _let_1 M)) G) X2) (@ (@ (@ tptp.comp_int_nat_int (@ _let_1 N)) H) X2))))) (forall ((B5 (-> Bool Bool Bool)) (C3 (-> Bool Bool Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re4705727531993890431at_o_o A4))) (@ (@ (@ (@ tptp.bNF_re6580757339198446453_nat_o (@ (@ tptp.bNF_rel_fun_o_o_o_o B5) C3)) (@ (@ tptp.bNF_re2697311982885662685_nat_o (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_o_o_nat) tptp.comp_o_o_nat))) (forall ((B5 (-> Bool tptp.nat Bool)) (C3 (-> Bool tptp.num Bool)) (A4 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7387973359137000979nt_num (@ (@ tptp.bNF_re766437678722298023_o_num B5) C3)) (@ (@ tptp.bNF_re4102725726183926567nt_num (@ (@ tptp.bNF_re8210149947023016781_o_nat A4) B5)) (@ (@ tptp.bNF_re4767481733178795415_o_num A4) C3))) tptp.comp_o_o_nat) tptp.comp_nat_num_int)) (forall ((B5 (-> Bool tptp.nat Bool)) (C3 (-> Bool tptp.nat Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re7523573913982466217_o_nat A4))) (@ (@ (@ (@ tptp.bNF_re1515921786380824775at_nat (@ (@ tptp.bNF_re4209105892566519389_o_nat B5) C3)) (@ (@ tptp.bNF_re2144779315220482269at_nat (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_o_o_nat) tptp.comp_nat_nat_nat))) (forall ((B5 (-> Bool tptp.int Bool)) (C3 (-> Bool tptp.nat Bool)) (A4 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re7413876800493218871nt_nat (@ (@ tptp.bNF_re4895681925607069953_o_nat B5) C3)) (@ (@ tptp.bNF_re1982657550219213441nt_nat (@ (@ tptp.bNF_re8207659476513966505_o_int A4) B5)) (@ (@ tptp.bNF_re8210149947023016781_o_nat A4) C3))) tptp.comp_o_o_nat) tptp.comp_int_nat_int)) (forall ((B5 (-> tptp.nat Bool Bool)) (C3 (-> tptp.num Bool Bool)) (A4 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re3931674169038344211_nat_o (@ (@ tptp.bNF_re8508505965575957011_num_o B5) C3)) (@ (@ tptp.bNF_re7435575058205011731_nat_o (@ (@ tptp.bNF_re4914077030771115051_nat_o A4) B5)) (@ (@ tptp.bNF_re3760060065607074657_num_o A4) C3))) tptp.comp_nat_num_int) tptp.comp_o_o_nat)) (forall ((B5 (-> tptp.nat tptp.nat Bool)) (C3 (-> tptp.num tptp.nat Bool)) (A4 (-> tptp.int tptp.nat Bool))) (@ (@ (@ (@ tptp.bNF_re6524732562925676389at_nat (@ (@ tptp.bNF_re3784151423046777323um_nat B5) C3)) (@ (@ tptp.bNF_re717418264989850719at_nat (@ (@ tptp.bNF_re3344003087646356989at_nat A4) B5)) (@ (@ tptp.bNF_re1474333490953826375um_nat A4) C3))) tptp.comp_nat_num_int) tptp.comp_nat_nat_nat)) (forall ((B5 (-> tptp.nat tptp.int Bool)) (C3 (-> tptp.num tptp.nat Bool)) (A4 (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re5843449549409830101nt_nat (@ (@ tptp.bNF_re4155804983283621959um_nat B5) C3)) (@ (@ tptp.bNF_re3642433447925381491nt_nat (@ (@ tptp.bNF_re3713166177374151349at_int A4) B5)) (@ (@ tptp.bNF_re1845987051190671011um_nat A4) C3))) tptp.comp_nat_num_int) tptp.comp_int_nat_int)) (forall ((B5 (-> tptp.nat Bool Bool)) (C3 (-> tptp.nat Bool Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re1402873238235875719_nat_o A4))) (@ (@ (@ (@ tptp.bNF_re3930744952143938759_nat_o (@ (@ tptp.bNF_re439150893885221597_nat_o B5) C3)) (@ (@ tptp.bNF_re7744223787735169245_nat_o (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_nat_nat_nat) tptp.comp_o_o_nat))) (forall ((B5 (-> tptp.nat tptp.nat Bool)) (C3 (-> tptp.nat tptp.num Bool)) (A4 (-> tptp.nat tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re584878643992547173nt_num (@ (@ tptp.bNF_re2211152805895086571at_num B5) C3)) (@ (@ tptp.bNF_re8622501330148003679nt_num (@ (@ tptp.bNF_re6025474579976152573at_nat A4) B5)) (@ (@ tptp.bNF_re2582806366131931207at_num A4) C3))) tptp.comp_nat_nat_nat) tptp.comp_nat_num_int)) (forall ((B5 (-> tptp.nat tptp.nat Bool)) (C3 (-> tptp.nat tptp.nat Bool)) (A4 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_re5653821019739307937at_nat A4))) (@ (@ (@ (@ tptp.bNF_re3262823321055862553at_nat (@ (@ tptp.bNF_re5653821019739307937at_nat B5) C3)) (@ (@ tptp.bNF_re239970166668089693at_nat (@ _let_1 B5)) (@ _let_1 C3))) tptp.comp_nat_nat_nat) tptp.comp_nat_nat_nat))) (= tptp.bNF_re4555766996558763186at_nat (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> tptp.nat tptp.nat Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.nat)) (G3 (-> tptp.int tptp.nat))) (@ (@ tptp.ord_le2646555220125990790_nat_o (@ (@ (@ tptp.bNF_Gr6955563364113978072nt_nat F2) G3) R6)) S4))) (= tptp.bNF_re7408651293131936558nt_int (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) (-> tptp.int tptp.int) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G3 (-> tptp.int tptp.int tptp.int))) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ (@ tptp.bNF_Gr1354378531936274772nt_int F2) G3) R6)) S4))) (= tptp.bNF_re717283939379294677_int_o (lambda ((R6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S4 (-> (-> tptp.product_prod_nat_nat Bool) (-> tptp.int Bool) Bool)) (F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G3 (-> tptp.int tptp.int Bool))) (@ (@ tptp.ord_le2932013042137311317nt_o_o (@ (@ (@ tptp.bNF_Gr364077372107685167_int_o F2) G3) R6)) S4))) (= tptp.bNF_re6718328864250387230um_num (lambda ((R6 (-> tptp.int tptp.code_integer Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.code_integer tptp.num))) (@ (@ tptp.ord_le6124364862034508274_num_o (@ (@ (@ tptp.bNF_Gr166583433173494904er_num F2) G3) R6)) S4))) (= tptp.bNF_re7626690874201225453um_num (lambda ((R6 (-> tptp.int tptp.int Bool)) (S4 (-> tptp.num tptp.num Bool)) (F2 (-> tptp.int tptp.num)) (G3 (-> tptp.int tptp.num))) (@ (@ tptp.ord_le6124364862034508274_num_o (@ (@ (@ tptp.bNF_Gr7020624548710275655nt_num F2) G3) R6)) S4))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (= (@ (@ (@ tptp.comp_P5371577678113413053at_nat (@ (@ tptp.produc4918694523301289860at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co805650143699787099at_nat tptp.id_nat) G)) X2) (@ (@ (@ tptp.bNF_co8159352583862032293um_nat (@ (@ tptp.comp_num_num_nat tptp.id_num) F)) G) X2))) (forall ((F (-> Bool tptp.nat)) (G (-> Bool tptp.nat)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P196761593691424337_nat_o (@ (@ tptp.produc6587185857518356756at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_convol_o_o_nat tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_nat_nat (@ (@ tptp.comp_nat_nat_o tptp.id_nat) F)) G) X2))) (forall ((F (-> Bool Bool)) (G (-> Bool tptp.nat)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P1422407636550552773_nat_o (@ (@ tptp.produc7071226018047599512at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_convol_o_o_nat tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_o_nat (@ (@ tptp.comp_o_o_o tptp.id_o) F)) G) X2))) (forall ((F (-> Bool tptp.num)) (G (-> Bool tptp.nat)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P972951341003599239_nat_o (@ (@ tptp.produc4527993685489015646at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_convol_o_o_nat tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_num_nat (@ (@ tptp.comp_num_num_o tptp.id_num) F)) G) X2))) (forall ((F (-> tptp.num tptp.nat)) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (= (@ (@ (@ tptp.comp_P2539519431309506803at_num (@ (@ tptp.produc4208724500416182148at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co6100160411832691183um_nat tptp.id_num) G)) X2) (@ (@ (@ tptp.bNF_co7969830008525221797at_nat (@ (@ tptp.comp_nat_nat_num tptp.id_nat) F)) G) X2))) (forall ((F (-> tptp.num Bool)) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (= (@ (@ (@ tptp.comp_P3192427084145116251at_num (@ (@ tptp.produc8319293927732033832at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co6100160411832691183um_nat tptp.id_num) G)) X2) (@ (@ (@ tptp.bNF_convol_num_o_nat (@ (@ tptp.comp_o_o_num tptp.id_o) F)) G) X2))) (forall ((F (-> tptp.num tptp.num)) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (= (@ (@ (@ tptp.comp_P480327259280165693at_num (@ (@ tptp.produc2149532328386841038at_nat F) tptp.id_nat)) (@ (@ tptp.bNF_co6100160411832691183um_nat tptp.id_num) G)) X2) (@ (@ (@ tptp.bNF_co6100160411832691183um_nat (@ (@ tptp.comp_num_num_num tptp.id_num) F)) G) X2))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.nat Bool)) (X2 tptp.nat)) (= (@ (@ (@ tptp.comp_P6576135029341976421_o_nat (@ (@ tptp.produc3264868786340801506um_o_o F) tptp.id_o)) (@ (@ tptp.bNF_convol_nat_nat_o tptp.id_nat) G)) X2) (@ (@ (@ tptp.bNF_convol_nat_num_o (@ (@ tptp.comp_num_num_nat tptp.id_num) F)) G) X2))) (forall ((F (-> Bool tptp.nat)) (G (-> Bool Bool)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P1471321874221585045at_o_o (@ (@ tptp.produc9141321880750005618at_o_o F) tptp.id_o)) (@ (@ tptp.bNF_convol_o_o_o tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_nat_o (@ (@ tptp.comp_nat_nat_o tptp.id_nat) F)) G) X2))) (forall ((F (-> Bool Bool)) (G (-> Bool Bool)) (X2 Bool)) (= (@ (@ (@ tptp.comp_P551574746845053877_o_o_o (@ (@ tptp.produc1928436952130685430_o_o_o F) tptp.id_o)) (@ (@ tptp.bNF_convol_o_o_o tptp.id_o) G)) X2) (@ (@ (@ tptp.bNF_convol_o_o_o (@ (@ tptp.comp_o_o_o tptp.id_o) F)) G) X2))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le513522071413781156et_rat (@ (@ tptp.image_4408659257933336347et_rat _let_1) (@ tptp.finite_Fpow_nat A4))) (@ tptp.finite_Fpow_rat B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) (@ tptp.finite_Fpow_nat A4))) (@ tptp.finite_Fpow_nat B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_3739036796817536367et_int _let_1) (@ tptp.finite_Fpow_nat A4))) (@ tptp.finite_Fpow_int B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_4702325430467532143et_nat _let_1) (@ tptp.finite_Fpow_int A4))) (@ tptp.finite_Fpow_nat B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_524474410958335435et_int _let_1) (@ tptp.finite_Fpow_int A4))) (@ tptp.finite_Fpow_int B5))))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (G (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member2643936169264416010at_nat X2) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ (@ tptp.bNF_co147202357524637304at_nat tptp.id_set2334057505560298834at_nat) G) X2)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ (@ tptp.bNF_Gr6677838525845560078at_nat A4) G)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ (@ tptp.bNF_co805650143699787099at_nat tptp.id_nat) G) X2)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ (@ tptp.bNF_Grp_nat_nat A4) G)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ (@ tptp.bNF_co2174166945328636015nt_int tptp.id_int) G) X2)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ (@ tptp.bNF_Grp_int_int A4) G)))))) _let_248 _let_247 _let_246 _let_245 (forall ((T2 (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat tptp.id_o) T2) T2)) (forall ((T2 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat tptp.id_nat) T2) T2)) (forall ((F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat F) tptp.id_nat) F)) (forall ((F (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_int_nat_int F) tptp.id_int) F)) (forall ((G (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat tptp.id_o) G) G)) (forall ((G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat tptp.id_nat) G) G)) _let_244 _let_243 _let_242 _let_241 _let_240 _let_238 _let_237 _let_236 _let_235 _let_233 (= (@ _let_231 tptp.top_top_set_o) tptp.top_top_set_o) (= (@ _let_230 tptp.top_top_set_num) tptp.top_top_set_num) (= (@ (@ tptp.image_char_char tptp.id_char) tptp.top_top_set_char) tptp.top_top_set_char) (= (@ (@ tptp.image_7976474329151083847st_nat tptp.id_list_nat) tptp.top_top_set_list_nat) tptp.top_top_set_list_nat) (= (@ (@ tptp.image_rat_rat tptp.id_rat) tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ _let_229 tptp.top_top_set_nat) tptp.top_top_set_nat) (= (@ _let_228 tptp.top_top_set_int) tptp.top_top_set_int) (forall ((X2 Bool) (Y3 Bool)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_o_o tptp.top_top_set_o) tptp.id_o) X2) Y3))) (forall ((X2 tptp.num) (Y3 tptp.num)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_num_num tptp.top_top_set_num) tptp.id_num) X2) Y3))) (forall ((X2 tptp.char) (Y3 tptp.char)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_char_char tptp.top_top_set_char) tptp.id_char) X2) Y3))) (forall ((X2 tptp.list_nat) (Y3 tptp.list_nat)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Gr600725020315365264st_nat tptp.top_top_set_list_nat) tptp.id_list_nat) X2) Y3))) (forall ((X2 tptp.rat) (Y3 tptp.rat)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat) tptp.id_rat) X2) Y3))) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_nat_nat tptp.top_top_set_nat) tptp.id_nat) X2) Y3))) (forall ((X2 tptp.int) (Y3 tptp.int)) (=> (= X2 Y3) (@ (@ (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) tptp.id_int) X2) Y3))) (= (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_o_o tptp.top_top_set_o) tptp.id_o)) (= (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_num_num tptp.top_top_set_num) tptp.id_num)) (= (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_char_char tptp.top_top_set_char) tptp.id_char)) (= (lambda ((Y2 tptp.list_nat) (Z tptp.list_nat)) (= Y2 Z)) (@ (@ tptp.bNF_Gr600725020315365264st_nat tptp.top_top_set_list_nat) tptp.id_list_nat)) (= (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat) tptp.id_rat)) (= (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_nat_nat tptp.top_top_set_nat) tptp.id_nat)) (= (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)) (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) tptp.id_int)) (forall ((Inf (-> tptp.set_o Bool)) (A4 tptp.set_o)) (= (@ Inf (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ Inf A4))) (forall ((Inf (-> tptp.set_num tptp.num)) (A4 tptp.set_num)) (= (@ Inf (@ (@ tptp.image_num_num tptp.id_num) A4)) (@ Inf A4))) (forall ((Inf (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ Inf A4))) (forall ((Inf (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ Inf A4))) (forall ((Sup (-> tptp.set_o Bool)) (A4 tptp.set_o)) (= (@ Sup (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ Sup A4))) (forall ((Sup (-> tptp.set_num tptp.num)) (A4 tptp.set_num)) (= (@ Sup (@ (@ tptp.image_num_num tptp.id_num) A4)) (@ Sup A4))) (forall ((Sup (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ Sup A4))) (forall ((Sup (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ Sup A4))) (forall ((A (-> Bool Bool)) (B (-> tptp.nat Bool)) (C (-> tptp.nat Bool)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_o_o_nat A) B) (@ (@ tptp.comp_o_o_nat tptp.id_o) C)) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> tptp.nat tptp.num)) (B (-> tptp.int tptp.nat)) (C (-> tptp.int tptp.num)) (V tptp.int)) (=> (= (@ (@ tptp.comp_nat_num_int A) B) (@ (@ tptp.comp_num_num_int tptp.id_num) C)) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat)) (C (-> tptp.nat tptp.nat)) (V tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat A) B) (@ (@ tptp.comp_nat_nat_nat tptp.id_nat) C)) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.int)) (C (-> tptp.int tptp.nat)) (V tptp.int)) (=> (= (@ (@ tptp.comp_int_nat_int A) B) (@ (@ tptp.comp_nat_nat_int tptp.id_nat) C)) (= (@ A (@ B V)) (@ C V)))) (forall ((A (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (B (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (C (-> tptp.code_integer tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (V tptp.code_integer)) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger A) B) (@ (@ tptp.comp_P3928908779438215820nteger tptp.id_Pro496765588584934260nteger) C)) (= (@ A (@ B V)) (@ C V)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (= (@ (@ tptp.comp_nat_nat_nat F) G) tptp.id_nat) (= (@ F (@ G X2)) X2))) (forall ((F (-> tptp.char tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (exists ((X tptp.char)) (= Y3 (@ F X))))) (forall ((F (-> tptp.char tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (exists ((X tptp.char)) (= Y3 (@ F X))))) (forall ((F (-> tptp.char tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (exists ((X tptp.char)) (= Y3 (@ F X))))) (forall ((F (-> tptp.char tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_char_int F) tptp.top_top_set_char) tptp.top_top_set_int) (exists ((X tptp.char)) (= Y3 (@ F X))))) (forall ((F (-> tptp.rat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_rat_char F) tptp.top_top_set_rat) tptp.top_top_set_char) (exists ((X tptp.rat)) (= Y3 (@ F X))))) (forall ((F (-> tptp.rat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (exists ((X tptp.rat)) (= Y3 (@ F X))))) (forall ((F (-> tptp.rat tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (exists ((X tptp.rat)) (= Y3 (@ F X))))) (forall ((F (-> tptp.rat tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (exists ((X tptp.rat)) (= Y3 (@ F X))))) (forall ((F (-> tptp.nat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_nat_char F) tptp.top_top_set_nat) tptp.top_top_set_char) (exists ((X tptp.nat)) (= Y3 (@ F X))))) (forall ((F (-> tptp.nat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (exists ((X tptp.nat)) (= Y3 (@ F X))))) (forall ((F (-> tptp.char tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.char tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.char tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.char tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_char_int F) tptp.top_top_set_char) tptp.top_top_set_int) (not (forall ((X tptp.char)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.rat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_rat_char F) tptp.top_top_set_rat) tptp.top_top_set_char) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.rat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.rat tptp.nat)) (Y3 tptp.nat)) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.rat tptp.int)) (Y3 tptp.int)) (=> (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (not (forall ((X tptp.rat)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.nat tptp.char)) (Y3 tptp.char)) (=> (= (@ (@ tptp.image_nat_char F) tptp.top_top_set_nat) tptp.top_top_set_char) (not (forall ((X tptp.nat)) (not (= Y3 (@ F X))))))) (forall ((F (-> tptp.nat tptp.rat)) (Y3 tptp.rat)) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (not (forall ((X tptp.nat)) (not (= Y3 (@ F X))))))) (forall ((G (-> tptp.char tptp.char)) (F (-> tptp.char tptp.char))) (=> (forall ((X tptp.char)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_char G) tptp.top_top_set_char) tptp.top_top_set_char))) (forall ((G (-> tptp.char tptp.rat)) (F (-> tptp.rat tptp.char))) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_rat G) tptp.top_top_set_char) tptp.top_top_set_rat))) (forall ((G (-> tptp.char tptp.nat)) (F (-> tptp.nat tptp.char))) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_nat G) tptp.top_top_set_char) tptp.top_top_set_nat))) (forall ((G (-> tptp.char tptp.int)) (F (-> tptp.int tptp.char))) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_char_int G) tptp.top_top_set_char) tptp.top_top_set_int))) (forall ((G (-> tptp.rat tptp.char)) (F (-> tptp.char tptp.rat))) (=> (forall ((X tptp.char)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_char G) tptp.top_top_set_rat) tptp.top_top_set_char))) (forall ((G (-> tptp.rat tptp.rat)) (F (-> tptp.rat tptp.rat))) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_rat G) tptp.top_top_set_rat) tptp.top_top_set_rat))) (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat))) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat) tptp.top_top_set_nat))) (forall ((G (-> tptp.rat tptp.int)) (F (-> tptp.int tptp.rat))) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat) tptp.top_top_set_int))) (forall ((G (-> tptp.nat tptp.char)) (F (-> tptp.char tptp.nat))) (=> (forall ((X tptp.char)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_nat_char G) tptp.top_top_set_nat) tptp.top_top_set_char))) (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.nat))) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (= (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat) tptp.top_top_set_rat))) (forall ((F (-> tptp.char Bool)) (X2 tptp.char)) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_char_o F) tptp.top_top_set_char))) (forall ((F (-> tptp.char tptp.nat)) (X2 tptp.char)) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char))) (forall ((F (-> tptp.char tptp.int)) (X2 tptp.char)) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_char_int F) tptp.top_top_set_char))) (forall ((F (-> tptp.rat Bool)) (X2 tptp.rat)) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat))) (forall ((F (-> tptp.rat tptp.nat)) (X2 tptp.rat)) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat))) (forall ((F (-> tptp.rat tptp.int)) (X2 tptp.rat)) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat))) (forall ((F (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (@ (@ tptp.member_rat (@ F X2)) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat))) (forall ((F (-> tptp.nat Bool)) (X2 tptp.nat)) (@ (@ tptp.member_o (@ F X2)) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat))) (forall ((F (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (@ (@ tptp.member_nat (@ F X2)) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat))) (forall ((F (-> tptp.nat tptp.int)) (X2 tptp.nat)) (@ (@ tptp.member_int (@ F X2)) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat))) (forall ((F (-> tptp.char tptp.char))) (= (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (forall ((Y5 tptp.char)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.char tptp.rat))) (= (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (forall ((Y5 tptp.rat)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.char tptp.nat))) (= (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (forall ((Y5 tptp.nat)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.char tptp.int))) (= (= (@ (@ tptp.image_char_int F) tptp.top_top_set_char) tptp.top_top_set_int) (forall ((Y5 tptp.int)) (exists ((X4 tptp.char)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.rat tptp.char))) (= (= (@ (@ tptp.image_rat_char F) tptp.top_top_set_rat) tptp.top_top_set_char) (forall ((Y5 tptp.char)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.rat tptp.rat))) (= (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (forall ((Y5 tptp.rat)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.rat tptp.nat))) (= (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (forall ((Y5 tptp.nat)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.rat tptp.int))) (= (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (forall ((Y5 tptp.int)) (exists ((X4 tptp.rat)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.nat tptp.char))) (= (= (@ (@ tptp.image_nat_char F) tptp.top_top_set_nat) tptp.top_top_set_char) (forall ((Y5 tptp.char)) (exists ((X4 tptp.nat)) (= Y5 (@ F X4)))))) (forall ((F (-> tptp.nat tptp.rat))) (= (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (forall ((Y5 tptp.rat)) (exists ((X4 tptp.nat)) (= Y5 (@ F X4)))))) (forall ((B Bool) (F (-> tptp.char Bool)) (X2 tptp.char)) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_char_o F) tptp.top_top_set_char)))) (forall ((B tptp.nat) (F (-> tptp.char tptp.nat)) (X2 tptp.char)) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)))) (forall ((B tptp.int) (F (-> tptp.char tptp.int)) (X2 tptp.char)) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_char_int F) tptp.top_top_set_char)))) (forall ((B Bool) (F (-> tptp.rat Bool)) (X2 tptp.rat)) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)))) (forall ((B tptp.nat) (F (-> tptp.rat tptp.nat)) (X2 tptp.rat)) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)))) (forall ((B tptp.int) (F (-> tptp.rat tptp.int)) (X2 tptp.rat)) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)))) (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)))) (forall ((B Bool) (F (-> tptp.nat Bool)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)))) (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)))) (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (X2 tptp.nat)) (=> (= B (@ F X2)) (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)))) (forall ((C tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit) (H2 tptp.heap_e7401611519738050253t_unit) (R tptp.ref_a)) (=> (@ (@ (@ (@ tptp.heap_effect_ref_a C) H) H2) R) (@ (@ tptp.heap_success_ref_a C) H))) (forall ((C tptp.heap_Heap_ref_a) (H tptp.heap_e7401611519738050253t_unit)) (=> (@ (@ tptp.heap_success_ref_a C) H) (not (forall ((R4 tptp.ref_a) (H4 tptp.heap_e7401611519738050253t_unit)) (not (@ (@ (@ (@ tptp.heap_effect_ref_a C) H) H4) R4)))))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_char G) tptp.top_top_set_char) tptp.top_top_set_char) (= (@ (@ tptp.image_7676512070627423941r_char (@ (@ tptp.produc7830753070125841726r_char F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to1235241553633177651r_char)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_rat G) tptp.top_top_set_char) tptp.top_top_set_rat) (= (@ (@ tptp.image_7275072250160737868ar_rat (@ (@ tptp.produc5209943433214700613ar_rat F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to8437673547576850234ar_rat)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.nat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_nat G) tptp.top_top_set_char) tptp.top_top_set_nat) (= (@ (@ tptp.image_1559928771699358788ar_nat (@ (@ tptp.produc5845073493301196349ar_nat F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to5594287848199751986ar_nat)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.int))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_int G) tptp.top_top_set_char) tptp.top_top_set_int) (= (@ (@ tptp.image_6605449789044937888ar_int (@ (@ tptp.produc5842583022792146073ar_int F) G)) tptp.top_to1235241553633177651r_char) tptp.top_to3104204703268025230ar_int)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_char G) tptp.top_top_set_rat) tptp.top_top_set_char) (= (@ (@ tptp.image_8036680598759533694r_char (@ (@ tptp.produc5432746246116964165t_char F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to1235241553633177651r_char)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_rat G) tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ (@ tptp.image_5644637116751559941ar_rat (@ (@ tptp.produc1230515432254573900at_rat F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to8437673547576850234ar_rat)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat) tptp.top_top_set_nat) (= (@ (@ tptp.image_9152865675144956669ar_nat (@ (@ tptp.produc1865645492341069636at_nat F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to5594287848199751986ar_nat)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat) tptp.top_top_set_int) (= (@ (@ tptp.image_4975014655635759961ar_int (@ (@ tptp.produc1863155021832019360at_int F) G)) tptp.top_to8437673547576850234ar_rat) tptp.top_to3104204703268025230ar_int)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.nat tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_nat_char G) tptp.top_top_set_nat) tptp.top_top_set_char) (= (@ (@ tptp.image_5973708714899544198r_char (@ (@ tptp.produc8759894717825771837t_char F) G)) tptp.top_to5594287848199751986ar_nat) tptp.top_to1235241553633177651r_char)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.nat tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat) tptp.top_top_set_rat) (= (@ (@ tptp.image_2699825501378146573ar_rat (@ (@ tptp.produc1547070076189439812at_rat F) G)) tptp.top_to5594287848199751986ar_nat) tptp.top_to8437673547576850234ar_rat)))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Fx tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Fx)) (@ (@ tptp.bNF_Gr7888059597227825506at_nat A4) F)) (@ (@ tptp.member6273874620674182256at_nat X2) A4))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Fx tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Fx)) (@ (@ tptp.bNF_Gr1527221351080490466at_nat A4) F)) (@ (@ tptp.member2643936169264416010at_nat X2) A4))) (forall ((X2 tptp.nat) (Fx tptp.num) (A4 tptp.set_nat) (F (-> tptp.nat tptp.num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X2) Fx)) (@ (@ tptp.bNF_Gr_nat_num A4) F)) (@ (@ tptp.member_nat X2) A4))) (forall ((X2 tptp.nat) (Fx tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Fx)) (@ (@ tptp.bNF_Gr_nat_nat A4) F)) (@ (@ tptp.member_nat X2) A4))) (forall ((X2 tptp.int) (Fx tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Fx)) (@ (@ tptp.bNF_Gr_int_int A4) F)) (@ (@ tptp.member_int X2) A4))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Fx tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Fx)) (@ (@ tptp.bNF_Gr7888059597227825506at_nat A4) F)) (= (@ F X2) Fx))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Fx tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Fx)) (@ (@ tptp.bNF_Gr1527221351080490466at_nat A4) F)) (= (@ F X2) Fx))) (forall ((X2 tptp.nat) (Fx tptp.num) (A4 tptp.set_nat) (F (-> tptp.nat tptp.num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X2) Fx)) (@ (@ tptp.bNF_Gr_nat_num A4) F)) (= (@ F X2) Fx))) (forall ((X2 tptp.nat) (Fx tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Fx)) (@ (@ tptp.bNF_Gr_nat_nat A4) F)) (= (@ F X2) Fx))) (forall ((X2 tptp.int) (Fx tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Fx)) (@ (@ tptp.bNF_Gr_int_int A4) F)) (= (@ F X2) Fx))) (forall ((V tptp.a) (H tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.heap_success_ref_a (@ tptp.ref_a2 V)) H)) (forall ((X2 (-> tptp.char Bool)) (Ya (-> tptp.char Bool)) (Y3 (-> tptp.char Bool)) (Xa2 (-> tptp.char Bool)) (R3 (-> Bool Bool Bool)) (Ra (-> Bool Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char Bool)) (Ya (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.nat)) (Xa2 (-> tptp.char tptp.nat)) (R3 (-> Bool tptp.nat Bool)) (Ra (-> Bool tptp.nat Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb tptp.nat)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char Bool)) (Ya (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.int)) (Xa2 (-> tptp.char tptp.int)) (R3 (-> Bool tptp.int Bool)) (Ra (-> Bool tptp.int Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb tptp.int)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char tptp.nat)) (Ya (-> tptp.char tptp.nat)) (Y3 (-> tptp.char Bool)) (Xa2 (-> tptp.char Bool)) (R3 (-> tptp.nat Bool Bool)) (Ra (-> tptp.nat Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.nat) (Yb Bool)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char tptp.nat)) (Ya (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.nat)) (Xa2 (-> tptp.char tptp.nat)) (R3 (-> tptp.nat tptp.nat Bool)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.nat) (Yb tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char tptp.nat)) (Ya (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.int)) (Xa2 (-> tptp.char tptp.int)) (R3 (-> tptp.nat tptp.int Bool)) (Ra (-> tptp.nat tptp.int Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.nat) (Yb tptp.int)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char tptp.int)) (Ya (-> tptp.char tptp.int)) (Y3 (-> tptp.char Bool)) (Xa2 (-> tptp.char Bool)) (R3 (-> tptp.int Bool Bool)) (Ra (-> tptp.int Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.int) (Yb Bool)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char tptp.int)) (Ya (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.nat)) (Xa2 (-> tptp.char tptp.nat)) (R3 (-> tptp.int tptp.nat Bool)) (Ra (-> tptp.int tptp.nat Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.int) (Yb tptp.nat)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.char tptp.int)) (Ya (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.int)) (Xa2 (-> tptp.char tptp.int)) (R3 (-> tptp.int tptp.int Bool)) (Ra (-> tptp.int tptp.int Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 tptp.int) (Yb tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int Ya) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Xa2) tptp.top_top_set_char)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((X2 (-> tptp.rat Bool)) (Ya (-> tptp.rat Bool)) (Y3 (-> tptp.rat Bool)) (Xa2 (-> tptp.rat Bool)) (R3 (-> Bool Bool Bool)) (Ra (-> Bool Bool Bool))) (=> (= X2 Ya) (=> (= Y3 Xa2) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_rat_o Ya) tptp.top_top_set_rat)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_rat_o Xa2) tptp.top_top_set_rat)) (= (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (= (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) X2) Y3) (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) Ya) Xa2)))))) (forall ((R3 (-> Bool Bool Bool)) (X2 (-> tptp.char Bool)) (Y3 (-> tptp.char Bool)) (Ra (-> Bool Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> Bool tptp.nat Bool)) (X2 (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.nat)) (Ra (-> Bool tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb tptp.nat)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4782998131235581479_o_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> Bool tptp.int Bool)) (X2 (-> tptp.char Bool)) (Y3 (-> tptp.char tptp.int)) (Ra (-> Bool tptp.int Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb tptp.int)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4780507660726531203_o_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> tptp.nat Bool Bool)) (X2 (-> tptp.char tptp.nat)) (Y3 (-> tptp.char Bool)) (Ra (-> tptp.nat Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.nat) (Yb Bool)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re7885669492343766789_nat_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> tptp.nat tptp.nat Bool)) (X2 (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.nat) (Yb tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> tptp.nat tptp.int Bool)) (X2 (-> tptp.char tptp.nat)) (Y3 (-> tptp.char tptp.int)) (Ra (-> tptp.nat tptp.int Bool))) (=> (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.nat) (Yb tptp.int)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re3731845416926587903at_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> tptp.int Bool Bool)) (X2 (-> tptp.char tptp.int)) (Y3 (-> tptp.char Bool)) (Ra (-> tptp.int Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.int) (Yb Bool)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_char_o Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re6064627146911078825_int_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> tptp.int tptp.nat Bool)) (X2 (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.nat)) (Ra (-> tptp.int tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.int) (Yb tptp.nat)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_nat Yb) (@ (@ tptp.image_char_nat Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4733689599336692735nt_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> tptp.int tptp.int Bool)) (X2 (-> tptp.char tptp.int)) (Y3 (-> tptp.char tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 tptp.int) (Yb tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (=> (@ (@ tptp.member_int Yb) (@ (@ tptp.image_char_int Y3) tptp.top_top_set_char)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((R3 (-> Bool Bool Bool)) (X2 (-> tptp.rat Bool)) (Y3 (-> tptp.rat Bool)) (Ra (-> Bool Bool Bool))) (=> (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) X2) Y3) (=> (forall ((Z3 Bool) (Yb Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_rat_o X2) tptp.top_top_set_rat)) (=> (@ (@ tptp.member_o Yb) (@ (@ tptp.image_rat_o Y3) tptp.top_top_set_rat)) (=> (@ (@ R3 Z3) Yb) (@ (@ Ra Z3) Yb))))) (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) Y3)))) (forall ((X2 (-> tptp.char Bool)) (Ra (-> Bool Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_char_o X2) tptp.top_top_set_char)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re1692451286490762625ar_o_o (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.char tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_char_nat X2) tptp.top_top_set_char)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.char tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_char_int X2) tptp.top_top_set_char)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.rat Bool)) (Ra (-> Bool Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_rat_o X2) tptp.top_top_set_rat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re1865807574169326223at_o_o (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.rat tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_rat_nat X2) tptp.top_top_set_rat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re6557955094579809201at_nat (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.rat tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_rat_int X2) tptp.top_top_set_rat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re7554818335971813481nt_int (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.nat tptp.rat)) (Ra (-> tptp.rat tptp.rat Bool))) (=> (forall ((Z3 tptp.rat)) (=> (@ (@ tptp.member_rat Z3) (@ (@ tptp.image_nat_rat X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re4702136315717946289at_rat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.nat Bool)) (Ra (-> Bool Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.nat tptp.nat)) (Ra (-> tptp.nat tptp.nat Bool))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))) (forall ((X2 (-> tptp.nat tptp.int)) (Ra (-> tptp.int tptp.int Bool))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_nat_int X2) tptp.top_top_set_nat)) (@ (@ Ra Z3) Z3))) (@ (@ (@ (@ tptp.bNF_re6650684261131312217nt_int (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) Ra) X2) X2))) (forall ((F (-> tptp.char Bool)) (B5 tptp.set_o) (I tptp.char)) (=> (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_char_o F) tptp.top_top_set_char)) B5) (@ (@ tptp.member_o (@ F I)) B5))) (forall ((F (-> tptp.char tptp.nat)) (B5 tptp.set_nat) (I tptp.char)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)) B5) (@ (@ tptp.member_nat (@ F I)) B5))) (forall ((F (-> tptp.char tptp.int)) (B5 tptp.set_int) (I tptp.char)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_char_int F) tptp.top_top_set_char)) B5) (@ (@ tptp.member_int (@ F I)) B5))) (forall ((F (-> tptp.rat Bool)) (B5 tptp.set_o) (I tptp.rat)) (=> (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)) B5) (@ (@ tptp.member_o (@ F I)) B5))) (forall ((F (-> tptp.rat tptp.nat)) (B5 tptp.set_nat) (I tptp.rat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)) B5) (@ (@ tptp.member_nat (@ F I)) B5))) (forall ((F (-> tptp.rat tptp.int)) (B5 tptp.set_int) (I tptp.rat)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)) B5) (@ (@ tptp.member_int (@ F I)) B5))) (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_rat (@ F I)) B5))) (forall ((F (-> tptp.nat Bool)) (B5 tptp.set_o) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_o (@ F I)) B5))) (forall ((F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_nat (@ F I)) B5))) (forall ((F (-> tptp.nat tptp.int)) (B5 tptp.set_int) (I tptp.nat)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) B5) (@ (@ tptp.member_int (@ F I)) B5))) (forall ((F (-> tptp.nat tptp.rat)) (V (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_nat_rat_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_char_nat V) tptp.top_top_set_char)))) (forall ((F (-> tptp.nat tptp.nat)) (V (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_nat_nat_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_char_nat V) tptp.top_top_set_char)))) (forall ((F (-> tptp.nat tptp.int)) (V (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_nat_int_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_char_nat V) tptp.top_top_set_char)))) (forall ((F (-> tptp.int tptp.nat)) (V (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_int_nat_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_char_int V) tptp.top_top_set_char)))) (forall ((F (-> tptp.int tptp.int)) (V (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_int_int_char F) V)) tptp.top_top_set_char) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_char_int V) tptp.top_top_set_char)))) (forall ((F (-> tptp.nat tptp.rat)) (V (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_rat (@ (@ tptp.comp_nat_rat_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_rat_nat V) tptp.top_top_set_rat)))) (forall ((F (-> tptp.nat tptp.nat)) (V (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_nat (@ (@ tptp.comp_nat_nat_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_rat_nat V) tptp.top_top_set_rat)))) (forall ((F (-> tptp.nat tptp.int)) (V (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_int (@ (@ tptp.comp_nat_int_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_rat_nat V) tptp.top_top_set_rat)))) (forall ((F (-> tptp.int tptp.nat)) (V (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_nat (@ (@ tptp.comp_int_nat_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_rat_int V) tptp.top_top_set_rat)))) (forall ((F (-> tptp.int tptp.int)) (V (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_int (@ (@ tptp.comp_int_int_rat F) V)) tptp.top_top_set_rat) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_rat_int V) tptp.top_top_set_rat)))) (forall ((X2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (Ya (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (= X2 Ya) (=> (forall ((Z3 (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.member2790140394383616496nteger Z3) (@ (@ tptp.image_2177946750938214461nteger Ya) tptp.top_to4645266643341252675nteger)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_C8797469213163452608nteger F) X2) (@ (@ tptp.comp_C8797469213163452608nteger G) Ya))))) (forall ((X2 (-> tptp.nat Bool)) (Ya (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> Bool Bool))) (=> (= X2 Ya) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o Ya) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_o_o_nat F) X2) (@ (@ tptp.comp_o_o_nat G) Ya))))) (forall ((X2 (-> tptp.nat tptp.nat)) (Ya (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (= X2 Ya) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat Ya) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_nat_nat F) X2) (@ (@ tptp.comp_nat_nat_nat G) Ya))))) (forall ((X2 (-> tptp.int tptp.nat)) (Ya (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num))) (=> (= X2 Ya) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_int_nat Ya) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_num_int F) X2) (@ (@ tptp.comp_nat_num_int G) Ya))))) (forall ((X2 (-> tptp.int tptp.int)) (Ya (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (= X2 Ya) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_int_int Ya) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_int_nat_int F) X2) (@ (@ tptp.comp_int_nat_int G) Ya))))) (forall ((X2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (forall ((Z3 (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.member2790140394383616496nteger Z3) (@ (@ tptp.image_2177946750938214461nteger X2) tptp.top_to4645266643341252675nteger)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_C8797469213163452608nteger F) X2) (@ (@ tptp.comp_C8797469213163452608nteger G) X2)))) (forall ((X2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> Bool Bool))) (=> (forall ((Z3 Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o X2) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_o_o_nat F) X2) (@ (@ tptp.comp_o_o_nat G) X2)))) (forall ((X2 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat X2) tptp.top_top_set_nat)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_nat_nat F) X2) (@ (@ tptp.comp_nat_nat_nat G) X2)))) (forall ((X2 (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num)) (G (-> tptp.nat tptp.num))) (=> (forall ((Z3 tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_int_nat X2) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_nat_num_int F) X2) (@ (@ tptp.comp_nat_num_int G) X2)))) (forall ((X2 (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (forall ((Z3 tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_int_int X2) tptp.top_top_set_int)) (= (@ F Z3) (@ G Z3)))) (= (@ (@ tptp.comp_int_nat_int F) X2) (@ (@ tptp.comp_int_nat_int G) X2)))) (forall ((X2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (Xa2 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (Fa (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (forall ((Z3 (-> tptp.code_integer tptp.code_integer)) (Za (-> tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.member2790140394383616496nteger Z3) (@ (@ tptp.image_2177946750938214461nteger X2) tptp.top_to4645266643341252675nteger)) (=> (@ (@ tptp.member2790140394383616496nteger Za) (@ (@ tptp.image_2177946750938214461nteger Xa2) tptp.top_to4645266643341252675nteger)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_C8797469213163452608nteger F) X2) (@ (@ tptp.comp_C8797469213163452608nteger Fa) Xa2)) (= X2 Xa2)))) (forall ((X2 (-> tptp.nat Bool)) (Xa2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (Fa (-> Bool Bool))) (=> (forall ((Z3 Bool) (Za Bool)) (=> (@ (@ tptp.member_o Z3) (@ (@ tptp.image_nat_o X2) tptp.top_top_set_nat)) (=> (@ (@ tptp.member_o Za) (@ (@ tptp.image_nat_o Xa2) tptp.top_top_set_nat)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_o_o_nat F) X2) (@ (@ tptp.comp_o_o_nat Fa) Xa2)) (= X2 Xa2)))) (forall ((X2 (-> tptp.nat tptp.nat)) (Xa2 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (Fa (-> tptp.nat tptp.nat))) (=> (forall ((Z3 tptp.nat) (Za tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_nat_nat X2) tptp.top_top_set_nat)) (=> (@ (@ tptp.member_nat Za) (@ (@ tptp.image_nat_nat Xa2) tptp.top_top_set_nat)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_nat_nat_nat F) X2) (@ (@ tptp.comp_nat_nat_nat Fa) Xa2)) (= X2 Xa2)))) (forall ((X2 (-> tptp.int tptp.nat)) (Xa2 (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.num)) (Fa (-> tptp.nat tptp.num))) (=> (forall ((Z3 tptp.nat) (Za tptp.nat)) (=> (@ (@ tptp.member_nat Z3) (@ (@ tptp.image_int_nat X2) tptp.top_top_set_int)) (=> (@ (@ tptp.member_nat Za) (@ (@ tptp.image_int_nat Xa2) tptp.top_top_set_int)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_nat_num_int F) X2) (@ (@ tptp.comp_nat_num_int Fa) Xa2)) (= X2 Xa2)))) (forall ((X2 (-> tptp.int tptp.int)) (Xa2 (-> tptp.int tptp.int)) (F (-> tptp.int tptp.nat)) (Fa (-> tptp.int tptp.nat))) (=> (forall ((Z3 tptp.int) (Za tptp.int)) (=> (@ (@ tptp.member_int Z3) (@ (@ tptp.image_int_int X2) tptp.top_top_set_int)) (=> (@ (@ tptp.member_int Za) (@ (@ tptp.image_int_int Xa2) tptp.top_top_set_int)) (=> (= (@ F Z3) (@ Fa Za)) (= Z3 Za))))) (=> (= (@ (@ tptp.comp_int_nat_int F) X2) (@ (@ tptp.comp_int_nat_int Fa) Xa2)) (= X2 Xa2)))) (forall ((F (-> tptp.nat Bool)) (X5 tptp.set_nat) (G1 (-> Bool Bool)) (G22 (-> Bool Bool))) (=> (= (@ (@ tptp.image_nat_o F) X5) tptp.top_top_set_o) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) X5) (= (@ (@ (@ tptp.comp_o_o_nat G1) F) X) (@ (@ (@ tptp.comp_o_o_nat G22) F) X)))) (= G1 G22)))) (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X5 tptp.set_Code_integer) (G1 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G22 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (= (@ (@ tptp.image_2177946750938214461nteger F) X5) tptp.top_to3804862627464599871nteger) (=> (forall ((X tptp.code_integer)) (=> (@ (@ tptp.member_Code_integer X) X5) (= (@ (@ (@ tptp.comp_C8797469213163452608nteger G1) F) X) (@ (@ (@ tptp.comp_C8797469213163452608nteger G22) F) X)))) (= G1 G22)))) (forall ((F (-> tptp.nat tptp.nat)) (X5 tptp.set_nat) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (=> (= (@ (@ tptp.image_nat_nat F) X5) tptp.top_top_set_nat) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) X5) (= (@ (@ (@ tptp.comp_nat_nat_nat G1) F) X) (@ (@ (@ tptp.comp_nat_nat_nat G22) F) X)))) (= G1 G22)))) (forall ((F (-> tptp.int tptp.nat)) (X5 tptp.set_int) (G1 (-> tptp.nat tptp.num)) (G22 (-> tptp.nat tptp.num))) (=> (= (@ (@ tptp.image_int_nat F) X5) tptp.top_top_set_nat) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) X5) (= (@ (@ (@ tptp.comp_nat_num_int G1) F) X) (@ (@ (@ tptp.comp_nat_num_int G22) F) X)))) (= G1 G22)))) (forall ((F (-> tptp.int tptp.int)) (X5 tptp.set_int) (G1 (-> tptp.int tptp.nat)) (G22 (-> tptp.int tptp.nat))) (=> (= (@ (@ tptp.image_int_int F) X5) tptp.top_top_set_int) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) X5) (= (@ (@ (@ tptp.comp_int_nat_int G1) F) X) (@ (@ (@ tptp.comp_int_nat_int G22) F) X)))) (= G1 G22)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.char))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_char G) tptp.top_top_set_char) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char (@ (@ tptp.comp_char_char_char G) F)) tptp.top_top_set_char) tptp.top_top_set_char)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.rat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_rat G) tptp.top_top_set_char) tptp.top_top_set_rat) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_char_rat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_rat)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.nat))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_nat G) tptp.top_top_set_char) tptp.top_top_set_nat) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_char_nat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_nat)))) (forall ((F (-> tptp.char tptp.char)) (G (-> tptp.char tptp.int))) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_int G) tptp.top_top_set_char) tptp.top_top_set_int) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_char_int_char G) F)) tptp.top_top_set_char) tptp.top_top_set_int)))) (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.char))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_char G) tptp.top_top_set_rat) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char (@ (@ tptp.comp_rat_char_char G) F)) tptp.top_top_set_char) tptp.top_top_set_char)))) (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.rat))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_rat G) tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_rat_rat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_rat)))) (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.nat))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat) tptp.top_top_set_nat) (= (@ (@ tptp.image_char_nat (@ (@ tptp.comp_rat_nat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_nat)))) (forall ((F (-> tptp.char tptp.rat)) (G (-> tptp.rat tptp.int))) (=> (= (@ (@ tptp.image_char_rat F) tptp.top_top_set_char) tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat) tptp.top_top_set_int) (= (@ (@ tptp.image_char_int (@ (@ tptp.comp_rat_int_char G) F)) tptp.top_top_set_char) tptp.top_top_set_int)))) (forall ((F (-> tptp.char tptp.nat)) (G (-> tptp.nat tptp.char))) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (=> (= (@ (@ tptp.image_nat_char G) tptp.top_top_set_nat) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char (@ (@ tptp.comp_nat_char_char G) F)) tptp.top_top_set_char) tptp.top_top_set_char)))) (forall ((F (-> tptp.char tptp.nat)) (G (-> tptp.nat tptp.rat))) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) tptp.top_top_set_nat) (=> (= (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat) tptp.top_top_set_rat) (= (@ (@ tptp.image_char_rat (@ (@ tptp.comp_nat_rat_char G) F)) tptp.top_top_set_char) tptp.top_top_set_rat)))) _let_227 (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (G (-> tptp.int tptp.nat))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat R3) (@ (@ (@ tptp.bNF_Gr6955563364113978072nt_nat F) G) R3)) F) G)) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int tptp.int))) (@ (@ (@ (@ tptp.bNF_re7408651293131936558nt_int R3) (@ (@ (@ tptp.bNF_Gr1354378531936274772nt_int F) G) R3)) F) G)) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.int tptp.int Bool))) (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o R3) (@ (@ (@ tptp.bNF_Gr364077372107685167_int_o F) G) R3)) F) G)) (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.code_integer tptp.num))) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num R3) (@ (@ (@ tptp.bNF_Gr166583433173494904er_num F) G) R3)) F) G)) (forall ((R3 (-> tptp.int tptp.int Bool)) (F (-> tptp.int tptp.num)) (G (-> tptp.int tptp.num))) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num R3) (@ (@ (@ tptp.bNF_Gr7020624548710275655nt_num F) G) R3)) F) G)) (forall ((S5 tptp.set_Co726186806682698383nteger) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (R3 tptp.set_Code_integer)) (=> (@ (@ tptp.finite954763878425697269nteger S5) F) (=> (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger G) tptp.top_to4645266643341252675nteger)) S5) (@ (@ tptp.finite917065715488314481nteger R3) (@ (@ tptp.comp_C8797469213163452608nteger F) G))))) (forall ((S5 tptp.set_Co726186806682698383nteger) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (R3 tptp.set_Code_integer)) (=> (@ (@ tptp.finite6756937295472016048nteger S5) F) (=> (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger G) tptp.top_to4645266643341252675nteger)) S5) (@ (@ tptp.finite366418920864469932nteger R3) (@ (@ tptp.comp_C8797469213163452608nteger F) G))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le513522071413781156et_rat (@ (@ tptp.image_4408659257933336347et_rat _let_1) (@ tptp.pow_nat A4))) (@ tptp.pow_rat B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) (@ tptp.pow_nat A4))) (@ tptp.pow_nat B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_3739036796817536367et_int _let_1) (@ tptp.pow_nat A4))) (@ tptp.pow_int B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) B5) (@ (@ tptp.ord_le6893508408891458716et_nat (@ (@ tptp.image_4702325430467532143et_nat _let_1) (@ tptp.pow_int A4))) (@ tptp.pow_nat B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) B5) (@ (@ tptp.ord_le4403425263959731960et_int (@ (@ tptp.image_524474410958335435et_int _let_1) (@ tptp.pow_int A4))) (@ tptp.pow_int B5))))) _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.char tptp.nat)) (B (-> tptp.char tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.char tptp.product_prod_nat_nat))) (and (@ (@ tptp.member3295615932019376976at_nat Z4) (@ tptp.collec1683818095804863890at_nat (lambda ((X4 (-> tptp.char tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat X4) tptp.top_top_set_char)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1491501995297412481t_char tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1491501995297412481t_char tptp.product_snd_nat_nat) Z4) B))))) (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.rat tptp.nat)) (B (-> tptp.rat tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re6557955094579809201at_nat (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.rat tptp.product_prod_nat_nat))) (and (@ (@ tptp.member849810989832120969at_nat Z4) (@ tptp.collec2824469931397938891at_nat (lambda ((X4 (-> tptp.rat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat X4) tptp.top_top_set_rat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1320480151300532104at_rat tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1320480151300532104at_rat tptp.product_snd_nat_nat) Z4) B))))) (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.nat tptp.nat)) (B (-> tptp.nat tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.member6743353555990375057at_nat Z4) (@ tptp.collec8718012497556192979at_nat (lambda ((X4 (-> tptp.nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat X4) tptp.top_top_set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_snd_nat_nat) Z4) B))))) (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.int tptp.nat)) (B (-> tptp.int tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.int tptp.product_prod_nat_nat))) (and (@ (@ tptp.member557823603599733045at_nat Z4) (@ tptp.collec2532482545165550967at_nat (lambda ((X4 (-> tptp.int tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat X4) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P1953119740877977564at_int tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P1953119740877977564at_int tptp.product_snd_nat_nat) Z4) B))))) (forall ((R3 (-> tptp.num tptp.num Bool)) (A (-> tptp.int tptp.num)) (B (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.int tptp.product_prod_num_num))) (and (@ (@ tptp.member7514810323860029129um_num Z4) (@ tptp.collec266097228571071243um_num (lambda ((X4 (-> tptp.int tptp.product_prod_num_num))) (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num X4) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o R3)))))) (= (@ (@ tptp.comp_P4305060815297604026um_int tptp.product_fst_num_num) Z4) A) (= (@ (@ tptp.comp_P4305060815297604026um_int tptp.product_snd_num_num) Z4) B))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.char tptp.int)) (B (-> tptp.char tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.char tptp.product_prod_int_int))) (and (@ (@ tptp.member2992454361780672008nt_int Z4) (@ tptp.collec1380656525566158922nt_int (lambda ((X4 (-> tptp.char tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int X4) tptp.top_top_set_char)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P4161745170962941589t_char tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P4161745170962941589t_char tptp.product_snd_int_int) Z4) B))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.rat tptp.int)) (B (-> tptp.rat tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re7554818335971813481nt_int (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.rat tptp.product_prod_int_int))) (and (@ (@ tptp.member546649419593416001nt_int Z4) (@ tptp.collec2521308361159233923nt_int (lambda ((X4 (-> tptp.rat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int X4) tptp.top_top_set_rat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P6018825582104210588nt_rat tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P6018825582104210588nt_rat tptp.product_snd_int_int) Z4) B))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.nat tptp.int)) (B (-> tptp.nat tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re6650684261131312217nt_int (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.nat tptp.product_prod_int_int))) (and (@ (@ tptp.member6440191985751670089nt_int Z4) (@ tptp.collec8414850927317488011nt_int (lambda ((X4 (-> tptp.nat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int X4) tptp.top_top_set_nat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P6653955642190706324nt_nat tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P6653955642190706324nt_nat tptp.product_snd_int_int) Z4) B))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (A (-> tptp.int tptp.int)) (B (-> tptp.int tptp.int))) (= (@ (@ (@ (@ tptp.bNF_re4712519889275205905nt_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.int tptp.product_prod_int_int))) (and (@ (@ tptp.member254662033361028077nt_int Z4) (@ tptp.collec2229320974926845999nt_int (lambda ((X4 (-> tptp.int tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int X4) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (= (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_fst_int_int) Z4) A) (= (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_snd_int_int) Z4) B))))) (forall ((R3 (-> tptp.nat tptp.nat Bool)) (A (-> tptp.list_nat tptp.nat)) (B (-> tptp.list_nat tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re4629543205785817921at_nat (lambda ((Y2 tptp.list_nat) (Z tptp.list_nat)) (= Y2 Z))) R3) A) B) (exists ((Z4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.member3963856813518191233at_nat Z4) (@ tptp.collec3092956710985254339at_nat (lambda ((X4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat X4) tptp.top_top_set_list_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (= (@ (@ tptp.comp_P5292260908303971472st_nat tptp.product_fst_nat_nat) Z4) A) (= (@ (@ tptp.comp_P5292260908303971472st_nat tptp.product_snd_nat_nat) Z4) B))))) (forall ((F (-> Bool Bool))) (let ((_let_1 (@ (@ tptp.bNF_Grp_o_o tptp.top_top_set_o) F))) (=> (= F tptp.id_o) (= (@ (@ tptp.relcompp_o_o_o (@ tptp.conversep_o_o _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.num tptp.num))) (let ((_let_1 (@ (@ tptp.bNF_Grp_num_num tptp.top_top_set_num) F))) (=> (= F tptp.id_num) (= (@ (@ tptp.relcompp_num_num_num (@ tptp.conversep_num_num _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.char tptp.char))) (let ((_let_1 (@ (@ tptp.bNF_Grp_char_char tptp.top_top_set_char) F))) (=> (= F tptp.id_char) (= (@ (@ tptp.relcom5872928454965100966r_char (@ tptp.conversep_char_char _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.list_nat tptp.list_nat))) (let ((_let_1 (@ (@ tptp.bNF_Gr600725020315365264st_nat tptp.top_top_set_list_nat) F))) (=> (= F tptp.id_list_nat) (= (@ (@ tptp.relcom8030397737370142931st_nat (@ tptp.conver909888920752868663st_nat _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.rat tptp.rat))) (let ((_let_1 (@ (@ tptp.bNF_Grp_rat_rat tptp.top_top_set_rat) F))) (=> (= F tptp.id_rat) (= (@ (@ tptp.relcompp_rat_rat_rat (@ tptp.conversep_rat_rat _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.bNF_Grp_nat_nat tptp.top_top_set_nat) F))) (=> (= F tptp.id_nat) (= (@ (@ tptp.relcompp_nat_nat_nat (@ tptp.conversep_nat_nat _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.bNF_Grp_int_int tptp.top_top_set_int) F))) (=> (= F tptp.id_int) (= (@ (@ tptp.relcompp_int_int_int (@ tptp.conversep_int_int _let_1)) _let_1) _let_1)))) (forall ((F (-> tptp.rat tptp.rat)) (G (-> tptp.rat tptp.rat))) (=> (@ tptp.order_4774338944571509483at_rat F) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (@ tptp.order_4774338944571509483at_rat G))))) (forall ((F (-> tptp.rat tptp.nat)) (G (-> tptp.nat tptp.rat))) (=> (@ tptp.order_5409469004658005219at_nat F) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) tptp.top_top_set_nat) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (@ tptp.order_5090893588506375395at_rat G))))) (forall ((F (-> tptp.rat tptp.int)) (G (-> tptp.int tptp.rat))) (=> (@ tptp.order_5406978534148954943at_int F) (=> (= (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat) tptp.top_top_set_int) (=> (forall ((X tptp.rat)) (= (@ G (@ F X)) X)) (@ tptp.order_6090247300407429951nt_rat G))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.rat tptp.nat))) (=> (@ tptp.order_5090893588506375395at_rat F) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) tptp.top_top_set_rat) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (@ tptp.order_5409469004658005219at_nat G))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ tptp.order_5726023648592871131at_nat F) (=> (= (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat) tptp.top_top_set_nat) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (@ tptp.order_5726023648592871131at_nat G))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.nat))) (=> (@ tptp.order_5723533178083820855at_int F) (=> (= (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat) tptp.top_top_set_int) (=> (forall ((X tptp.nat)) (= (@ G (@ F X)) X)) (@ tptp.order_6725377360493925687nt_nat G))))) (forall ((F (-> tptp.int tptp.rat)) (G (-> tptp.rat tptp.int))) (=> (@ tptp.order_6090247300407429951nt_rat F) (=> (= (@ (@ tptp.image_int_rat F) tptp.top_top_set_int) tptp.top_top_set_rat) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (@ tptp.order_5406978534148954943at_int G))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.int))) (=> (@ tptp.order_6725377360493925687nt_nat F) (=> (= (@ (@ tptp.image_int_nat F) tptp.top_top_set_int) tptp.top_top_set_nat) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (@ tptp.order_5723533178083820855at_int G))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (=> (@ tptp.order_6722886889984875411nt_int F) (=> (= (@ (@ tptp.image_int_int F) tptp.top_top_set_int) tptp.top_top_set_int) (=> (forall ((X tptp.int)) (= (@ G (@ F X)) X)) (@ tptp.order_6722886889984875411nt_int G))))) _let_216 _let_215 _let_214 (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> Bool Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M tptp.id_o) (= (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o Abs) M)) Rep) tptp.id_nat)))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> Bool Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M tptp.id_o) (= (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o Abs) M)) Rep) tptp.id_o)))) (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (M (-> Bool Bool))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (= M tptp.id_o) (= (@ (@ tptp.comp_o_num_num (@ (@ tptp.comp_o_num_o Abs) M)) Rep) tptp.id_num)))) (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (M (-> tptp.num tptp.num))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (=> (= M tptp.id_num) (= (@ (@ tptp.comp_num_nat_nat (@ (@ tptp.comp_num_nat_num Abs) M)) Rep) tptp.id_nat)))) (forall ((Rep (-> Bool tptp.num)) (Abs (-> tptp.num Bool)) (M (-> tptp.num tptp.num))) (=> (@ (@ (@ tptp.type_d3678713432601627782_o_num Rep) Abs) tptp.top_top_set_num) (=> (= M tptp.id_num) (= (@ (@ tptp.comp_num_o_o (@ (@ tptp.comp_num_o_num Abs) M)) Rep) tptp.id_o)))) (forall ((Rep (-> tptp.num tptp.num)) (Abs (-> tptp.num tptp.num)) (M (-> tptp.num tptp.num))) (=> (@ (@ (@ tptp.type_d938156138240996706um_num Rep) Abs) tptp.top_top_set_num) (=> (= M tptp.id_num) (= (@ (@ tptp.comp_num_num_num (@ (@ tptp.comp_num_num_num Abs) M)) Rep) tptp.id_num)))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (M (-> tptp.char tptp.char))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= M tptp.id_char) (= (@ (@ tptp.comp_char_nat_nat (@ (@ tptp.comp_char_nat_char Abs) M)) Rep) tptp.id_nat)))) (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (M (-> tptp.char tptp.char))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= M tptp.id_char) (= (@ (@ tptp.comp_char_o_o (@ (@ tptp.comp_char_o_char Abs) M)) Rep) tptp.id_o)))) (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (M (-> tptp.char tptp.char))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= M tptp.id_char) (= (@ (@ tptp.comp_char_num_num (@ (@ tptp.comp_char_num_char Abs) M)) Rep) tptp.id_num)))) (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (M (-> tptp.rat tptp.rat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (=> (= M tptp.id_rat) (= (@ (@ tptp.comp_rat_nat_nat (@ (@ tptp.comp_rat_nat_rat Abs) M)) Rep) tptp.id_nat)))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ tptp.comp_char_nat_nat Abs) Rep) tptp.id_nat))) (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ tptp.comp_char_o_o Abs) Rep) tptp.id_o))) (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ tptp.comp_char_num_num Abs) Rep) tptp.id_num))) (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ tptp.comp_rat_nat_nat Abs) Rep) tptp.id_nat))) (forall ((Rep (-> Bool tptp.rat)) (Abs (-> tptp.rat Bool))) (=> (@ (@ (@ tptp.type_d6486251586359353412_o_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ tptp.comp_rat_o_o Abs) Rep) tptp.id_o))) (forall ((Rep (-> tptp.num tptp.rat)) (Abs (-> tptp.rat tptp.num))) (=> (@ (@ (@ tptp.type_d3745694291998722336um_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ tptp.comp_rat_num_num Abs) Rep) tptp.id_num))) (forall ((Rep (-> Bool tptp.nat)) (Abs (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d7121381646445849148_o_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_o_o Abs) Rep) tptp.id_o))) (forall ((Rep (-> tptp.num tptp.nat)) (Abs (-> tptp.nat tptp.num))) (=> (@ (@ (@ tptp.type_d4380824352085218072um_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_num_num Abs) Rep) tptp.id_num))) (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_nat_nat Abs) Rep) tptp.id_nat))) (forall ((Rep (-> tptp.nat tptp.int)) (Abs (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d6248003478268698410at_int Rep) Abs) tptp.top_top_set_int) (= (@ (@ tptp.comp_int_nat_nat Abs) Rep) tptp.id_nat))) (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ tptp.comp_nat_nat_nat Rep) Abs) tptp.id_nat))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ tptp.comp_P5156358013004227690it_o_o Rep) Abs) tptp.id_o))) (forall ((P tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X2 tptp.product_prod_nat_nat)) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= (@ (@ tptp.product_Pair_nat_nat A3) B3) P) (@ (@ (@ C A3) B3) X2))) (@ (@ (@ tptp.produc8739625826339149834_nat_o C) P) X2))) (forall ((Y4 tptp.set_nat)) (= (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) Y4) Y4)) (forall ((Y4 tptp.set_int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) Y4) Y4)) (forall ((P2 Bool) (Q2 (-> tptp.int tptp.int Bool))) (= (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) (and P2 (@ (@ Q2 A5) B4)))) (lambda ((Ab tptp.product_prod_int_int)) (and P2 (@ (@ tptp.produc4947309494688390418_int_o Q2) Ab))))) (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) A)) (@ tptp.id_on_7869290023980668164at_nat A4)))) (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) A)) (@ tptp.id_on_2554058798563519774at_nat A4)))) (forall ((A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) A)) (@ tptp.id_on_o A4)))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) A)) (@ tptp.id_on_3275838214495744996at_nat A4)))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) A)) (@ tptp.id_on_6713504163309144702at_nat A4)))) (forall ((A tptp.nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) A)) (@ tptp.id_on_nat A4)))) (forall ((A tptp.int) (A4 tptp.set_int)) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) A)) (@ tptp.id_on_int A4)))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc27273713700761075at_nat F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc4245557441103728435nt_int F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.int tptp.int tptp.int)) (A tptp.int) (B tptp.int)) (= (@ (@ tptp.produc8211389475949308722nt_int F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc9020218426428501292_nat_o F) (@ (@ tptp.produc9060074326276436823at_nat A) B)))) (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc410239310623530412_nat_o F) (@ (@ tptp.produc2922128104949294807at_nat A) B)))) (forall ((F (-> tptp.nat tptp.num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ F A) B) (@ (@ tptp.produc4927758841916487424_num_o F) (@ (@ tptp.product_Pair_nat_num A) B)))) (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ F A) B) (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)))) (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ F A) B) (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)))) (forall ((P tptp.produc1319942482725812455at_nat) (C (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool))) (=> (forall ((A3 tptp.set_Pr4329608150637261639at_nat) (B3 tptp.set_Pr4329608150637261639at_nat)) (=> (= P (@ (@ tptp.produc9060074326276436823at_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc9020218426428501292_nat_o C) P))) (forall ((P tptp.produc3843707927480180839at_nat) (C (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (forall ((A3 tptp.set_Pr1261947904930325089at_nat) (B3 tptp.set_Pr1261947904930325089at_nat)) (=> (= P (@ (@ tptp.produc2922128104949294807at_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc410239310623530412_nat_o C) P))) (forall ((P tptp.product_prod_nat_num) (C (-> tptp.nat tptp.num Bool))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc4927758841916487424_num_o C) P))) (forall ((P tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.nat Bool))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc6081775807080527818_nat_o C) P))) (forall ((P tptp.product_prod_int_int) (C (-> tptp.int tptp.int Bool))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ C A3) B3))) (@ (@ tptp.produc4947309494688390418_int_o C) P))) (forall ((Z2 Bool) (C (-> tptp.nat tptp.num tptp.set_o)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member_o Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc836176033315069408_set_o C) (@ (@ tptp.product_Pair_nat_num A) B)))))) (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc4130284055270567454et_nat C) (@ (@ tptp.product_Pair_nat_num A) B)))))) (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.num tptp.set_int)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member_int Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc9175805072616146554et_int C) (@ (@ tptp.product_Pair_nat_num A) B)))))) (forall ((Z2 Bool) (C (-> tptp.nat tptp.nat tptp.set_o)) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.member_o Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc59986286002894506_set_o C) (@ (@ tptp.product_Pair_nat_nat A) B)))))) (forall ((Z2 tptp.nat) (C (-> tptp.nat tptp.nat tptp.set_nat)) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.member_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc6189476227299908564et_nat C) (@ (@ tptp.product_Pair_nat_nat A) B)))))) (forall ((Z2 tptp.int) (C (-> tptp.nat tptp.nat tptp.set_int)) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.member_int Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc2011625207790711856et_int C) (@ (@ tptp.product_Pair_nat_nat A) B)))))) (forall ((Z2 Bool) (C (-> tptp.int tptp.int tptp.set_o)) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.member_o Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc4257766111578684402_set_o C) (@ (@ tptp.product_Pair_int_int A) B)))))) (forall ((Z2 tptp.nat) (C (-> tptp.int tptp.int tptp.set_nat)) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.member_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc4251311855443802252et_nat C) (@ (@ tptp.product_Pair_int_int A) B)))))) (forall ((Z2 tptp.int) (C (-> tptp.int tptp.int tptp.set_int)) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.member_int Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc73460835934605544et_int C) (@ (@ tptp.product_Pair_int_int A) B)))))) (forall ((Z2 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat)) (A tptp.nat) (B tptp.num)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc859037500352796105at_nat C) (@ (@ tptp.product_Pair_nat_num A) B)))))) (forall ((P tptp.product_prod_nat_num) (Z2 Bool) (C (-> tptp.nat tptp.num tptp.set_o))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_o Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_o Z2) (@ (@ tptp.produc836176033315069408_set_o C) P)))) (forall ((P tptp.product_prod_nat_num) (Z2 tptp.nat) (C (-> tptp.nat tptp.num tptp.set_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4130284055270567454et_nat C) P)))) (forall ((P tptp.product_prod_nat_num) (Z2 tptp.int) (C (-> tptp.nat tptp.num tptp.set_int))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member_int Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z2) (@ (@ tptp.produc9175805072616146554et_int C) P)))) (forall ((P tptp.product_prod_nat_nat) (Z2 Bool) (C (-> tptp.nat tptp.nat tptp.set_o))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ tptp.member_o Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_o Z2) (@ (@ tptp.produc59986286002894506_set_o C) P)))) (forall ((P tptp.product_prod_nat_nat) (Z2 tptp.nat) (C (-> tptp.nat tptp.nat tptp.set_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ tptp.member_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc6189476227299908564et_nat C) P)))) (forall ((P tptp.product_prod_nat_nat) (Z2 tptp.int) (C (-> tptp.nat tptp.nat tptp.set_int))) (=> (forall ((A3 tptp.nat) (B3 tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat A3) B3)) (@ (@ tptp.member_int Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z2) (@ (@ tptp.produc2011625207790711856et_int C) P)))) (forall ((P tptp.product_prod_int_int) (Z2 Bool) (C (-> tptp.int tptp.int tptp.set_o))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ tptp.member_o Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_o Z2) (@ (@ tptp.produc4257766111578684402_set_o C) P)))) (forall ((P tptp.product_prod_int_int) (Z2 tptp.nat) (C (-> tptp.int tptp.int tptp.set_nat))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ tptp.member_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_nat Z2) (@ (@ tptp.produc4251311855443802252et_nat C) P)))) (forall ((P tptp.product_prod_int_int) (Z2 tptp.int) (C (-> tptp.int tptp.int tptp.set_int))) (=> (forall ((A3 tptp.int) (B3 tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int A3) B3)) (@ (@ tptp.member_int Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member_int Z2) (@ (@ tptp.produc73460835934605544et_int C) P)))) (forall ((P tptp.product_prod_nat_num) (Z2 tptp.product_prod_nat_nat) (C (-> tptp.nat tptp.num tptp.set_Pr1261947904930325089at_nat))) (=> (forall ((A3 tptp.nat) (B3 tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num A3) B3)) (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ C A3) B3)))) (@ (@ tptp.member8440522571783428010at_nat Z2) (@ (@ tptp.produc859037500352796105at_nat C) P)))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc27273713700761075at_nat (lambda ((Y5 tptp.nat) (X4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F X4) Y5) __flatten_var_0))) (@ tptp.product_swap_nat_nat P)) (@ (@ tptp.produc27273713700761075at_nat F) P))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((Y5 tptp.nat) (X4 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F X4) Y5) __flatten_var_0))) (@ tptp.product_swap_nat_nat P)) (@ (@ tptp.produc8739625826339149834_nat_o F) P))) (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (P tptp.product_prod_int_int)) (= (@ (@ tptp.produc4245557441103728435nt_int (lambda ((Y5 tptp.int) (X4 tptp.int)) (@ (@ F X4) Y5))) (@ tptp.product_swap_int_int P)) (@ (@ tptp.produc4245557441103728435nt_int F) P))) (forall ((F (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int)) (= (@ (@ tptp.produc4947309494688390418_int_o (lambda ((Y5 tptp.int) (X4 tptp.int)) (@ (@ F X4) Y5))) (@ tptp.product_swap_int_int P)) (@ (@ tptp.produc4947309494688390418_int_o F) P))) (forall ((F (-> tptp.int tptp.int tptp.int)) (P tptp.product_prod_int_int)) (= (@ (@ tptp.produc8211389475949308722nt_int (lambda ((Y5 tptp.int) (X4 tptp.int)) (@ (@ F X4) Y5))) (@ tptp.product_swap_int_int P)) (@ (@ tptp.produc8211389475949308722nt_int F) P))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num Bool))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member_o (@ (@ F A) B)) (@ (@ tptp.image_4451812852358507538_num_o (@ tptp.produc4927758841916487424_num_o F)) A4)))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num tptp.nat))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member_nat (@ (@ F A) B)) (@ (@ tptp.image_4504471508743443926um_nat (@ tptp.produc4973203077627929192um_nat F)) A4)))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num tptp.int))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member_int (@ (@ F A) B)) (@ (@ tptp.image_4501981038234393650um_int (@ tptp.produc4970712607118878916um_int F)) A4)))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) A4) (@ (@ tptp.member_o (@ (@ F A) B)) (@ (@ tptp.image_3693632289388996572_nat_o (@ tptp.produc6081775807080527818_nat_o F)) A4)))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat tptp.nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) A4) (@ (@ tptp.member_nat (@ (@ F A) B)) (@ (@ tptp.image_2486076414777270412at_nat (@ tptp.produc6842872674320459806at_nat F)) A4)))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat tptp.int))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) A4) (@ (@ tptp.member_int (@ (@ F A) B)) (@ (@ tptp.image_2483585944268220136at_int (@ tptp.produc6840382203811409530at_int F)) A4)))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int tptp.nat))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) A4) (@ (@ tptp.member_nat (@ (@ F A) B)) (@ (@ tptp.image_5044651549707136836nt_nat (@ tptp.produc8213879946458358998nt_nat F)) A4)))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) A4) (@ (@ tptp.member_o (@ (@ F A) B)) (@ (@ tptp.image_2135063354759101220_int_o (@ tptp.produc4947309494688390418_int_o F)) A4)))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int tptp.int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) A4) (@ (@ tptp.member_int (@ (@ F A) B)) (@ (@ tptp.image_5042161079198086560nt_int (@ tptp.produc8211389475949308722nt_int F)) A4)))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_Pr6200539531224447659at_num) (F (-> tptp.nat tptp.num tptp.product_prod_nat_nat))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ F A) B)) (@ (@ tptp.image_4217639968629731195at_nat (@ tptp.produc8564434177180591209at_nat F)) A4)))) (forall ((Inf (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Inf (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ Inf A4))) (forall ((Inf (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Inf (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ Inf A4))) (forall ((Sup (-> tptp.set_nat tptp.nat)) (A4 tptp.set_nat)) (= (@ Sup (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ Sup A4))) (forall ((Sup (-> tptp.set_int tptp.int)) (A4 tptp.set_int)) (= (@ Sup (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ Sup A4))) (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))) (forall ((B Bool) (F (-> Bool Bool)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_o_o F) A4)) (not (forall ((X Bool)) (=> (= B (@ F X)) (not (@ (@ tptp.member_o X) A4))))))) (forall ((B Bool) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))) (forall ((B Bool) (F (-> tptp.int Bool)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_int_o F) A4)) (not (forall ((X tptp.int)) (=> (= B (@ F X)) (not (@ (@ tptp.member_int X) A4))))))) (forall ((B tptp.nat) (F (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_o_nat F) A4)) (not (forall ((X Bool)) (=> (= B (@ F X)) (not (@ (@ tptp.member_o X) A4))))))) (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))) (forall ((B tptp.nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_int_nat F) A4)) (not (forall ((X tptp.int)) (=> (= B (@ F X)) (not (@ (@ tptp.member_int X) A4))))))) (forall ((B tptp.int) (F (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_o_int F) A4)) (not (forall ((X Bool)) (=> (= B (@ F X)) (not (@ (@ tptp.member_o X) A4))))))) (forall ((B tptp.int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) A4)) (not (forall ((X tptp.nat)) (=> (= B (@ F X)) (not (@ (@ tptp.member_nat X) A4))))))) (forall ((B tptp.int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_int_int F) A4)) (not (forall ((X tptp.int)) (=> (= B (@ F X)) (not (@ (@ tptp.member_int X) A4))))))) (forall ((F (-> tptp.rat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_rat_rat F) (@ (@ tptp.image_nat_rat G) A4)) (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.rat tptp.nat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_rat_nat F) (@ (@ tptp.image_nat_rat G) A4)) (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.rat tptp.int)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_rat_int F) (@ (@ tptp.image_nat_rat G) A4)) (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.int tptp.rat)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_int_rat F) (@ (@ tptp.image_nat_int G) A4)) (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_nat_nat G) A4)) (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_int_nat G) A4)) (@ (@ tptp.image_int_rat (lambda ((X4 tptp.int)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_nat_nat G) A4)) (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_int_nat G) A4)) (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_nat_nat G) A4)) (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) A4))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_int_nat G) A4)) (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ F (@ G X4)))) A4))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (P2 (-> Bool Bool))) (= (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) (@ (@ tptp.image_o_o F) A4)) (@ P2 X4)))) (@ (@ tptp.image_o_o F) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (P2 (-> Bool Bool))) (= (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) (@ (@ tptp.image_int_o F) A4)) (@ P2 X4)))) (@ (@ tptp.image_int_o F) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (P2 (-> tptp.int Bool))) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) (@ (@ tptp.image_o_int F) A4)) (@ P2 X4)))) (@ (@ tptp.image_o_int F) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) (@ (@ tptp.image_int_int F) A4)) (@ P2 X4)))) (@ (@ tptp.image_int_int F) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.rat Bool))) (= (@ tptp.collect_rat (lambda ((X4 tptp.rat)) (and (@ (@ tptp.member_rat X4) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_rat F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (P2 (-> Bool Bool))) (= (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) (@ (@ tptp.image_nat_o F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_o F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.int Bool))) (= (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) (@ (@ tptp.image_nat_int F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_int F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (P2 (-> tptp.nat Bool))) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) (@ (@ tptp.image_o_nat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_o_nat F) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.nat Bool))) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) (@ (@ tptp.image_int_nat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_int_nat F) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 (@ F X4)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (= (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 X4)))) (@ (@ tptp.image_nat_nat F) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 (@ F X4)))))))) (forall ((A4 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.id_on_2554058798563519774at_nat (@ tptp.collec3392354462482085612at_nat A4)) (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (and (= X4 Y5) (@ A4 X4))))))) (forall ((A4 (-> tptp.nat Bool))) (= (@ tptp.id_on_nat (@ tptp.collect_nat A4)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (= X4 Y5) (@ A4 X4))))))) (forall ((A4 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.id_on_8598933527810153430nt_int (@ tptp.collec213857154873943460nt_int A4)) (@ tptp.collec7447955092554649554nt_int (@ tptp.produc1676490119946744748_int_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.product_prod_int_int)) (and (= X4 Y5) (@ A4 X4))))))) (forall ((A4 (-> tptp.int Bool))) (= (@ tptp.id_on_int (@ tptp.collect_int A4)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (and (= X4 Y5) (@ A4 X4))))))) (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (= (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3)) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (= R3 S5))) (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (= (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3)) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (= R3 S5))) (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (= (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3)) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (= R3 S5))) (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (= (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3)) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (= R3 S5))) (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (= (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3)) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (= R3 S5))) (forall ((C (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P tptp.product_prod_nat_nat) (Z2 tptp.product_prod_nat_nat)) (=> (@ (@ (@ tptp.produc8739625826339149834_nat_o C) P) Z2) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ (@ C X) Y) Z2))))))) (forall ((R3 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (A tptp.nat) (B tptp.nat) (C tptp.product_prod_nat_nat)) (=> (@ (@ (@ tptp.produc8739625826339149834_nat_o R3) (@ (@ tptp.product_Pair_nat_nat A) B)) C) (@ (@ (@ R3 A) B) C))) (forall ((P tptp.produc1319942482725812455at_nat)) (= (@ (@ tptp.produc5456455677105495163at_nat tptp.produc9060074326276436823at_nat) P) P)) (forall ((P tptp.produc3843707927480180839at_nat)) (= (@ (@ tptp.produc7548845685434208379at_nat tptp.produc2922128104949294807at_nat) P) P)) (forall ((P tptp.product_prod_nat_num)) (= (@ (@ tptp.produc49306077274653107at_num tptp.product_Pair_nat_num) P) P)) (forall ((P tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc2626176000494625587at_nat tptp.product_Pair_nat_nat) P) P)) (forall ((P tptp.product_prod_int_int)) (= (@ (@ tptp.produc4245557441103728435nt_int tptp.product_Pair_int_int) P) P)) (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (Q2 (-> tptp.produc3843707927480180839at_nat Bool)) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat B5) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_le1268244103169919719at_nat (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) B5) (@ Q2 X4))))) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) A4) (@ P2 X4)))))))) (forall ((B5 tptp.set_o) (A4 tptp.set_o) (Q2 (-> Bool Bool)) (P2 (-> Bool Bool))) (=> (@ (@ tptp.ord_less_eq_set_o B5) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_less_eq_set_o (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) B5) (@ Q2 X4))))) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 X4)))))))) (forall ((B5 tptp.set_int) (A4 tptp.set_int) (Q2 (-> tptp.int Bool)) (P2 (-> tptp.int Bool))) (=> (@ (@ tptp.ord_less_eq_set_int B5) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_less_eq_set_int (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) B5) (@ Q2 X4))))) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 X4)))))))) (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (Q2 (-> tptp.product_prod_nat_nat Bool)) (P2 (-> tptp.product_prod_nat_nat Bool))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) B5) (@ Q2 X4))))) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ P2 X4)))))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (Q2 (-> tptp.nat Bool)) (P2 (-> tptp.nat Bool))) (=> (@ (@ tptp.ord_less_eq_set_nat B5) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) B5) (@ Q2 X4))))) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 X4)))))))) (forall ((B5 tptp.set_Pr958786334691620121nt_int) (A4 tptp.set_Pr958786334691620121nt_int) (Q2 (-> tptp.product_prod_int_int Bool)) (P2 (-> tptp.product_prod_int_int Bool))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) A4) (=> (forall ((X tptp.product_prod_int_int)) (=> (@ (@ tptp.member5262025264175285858nt_int X) B5) (=> (@ Q2 X) (@ P2 X)))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) B5) (@ Q2 X4))))) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) A4) (@ P2 X4)))))))) (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (let ((_let_1 (@ tptp.ord_le1268244103169919719at_nat B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) A4) (@ P2 X4))))) (forall ((X4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X4) B5) (@ P2 X4))))))) (forall ((B5 tptp.set_o) (A4 tptp.set_o) (P2 (-> Bool Bool))) (let ((_let_1 (@ tptp.ord_less_eq_set_o B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (@ P2 X4))))) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) B5) (@ P2 X4))))))) (forall ((B5 tptp.set_int) (A4 tptp.set_int) (P2 (-> tptp.int Bool))) (let ((_let_1 (@ tptp.ord_less_eq_set_int B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (@ P2 X4))))) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) B5) (@ P2 X4))))))) (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (let ((_let_1 (@ tptp.ord_le3146513528884898305at_nat B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ P2 X4))))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) B5) (@ P2 X4))))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (P2 (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (@ P2 X4))))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) B5) (@ P2 X4))))))) (forall ((B5 tptp.set_Pr958786334691620121nt_int) (A4 tptp.set_Pr958786334691620121nt_int) (P2 (-> tptp.product_prod_int_int Bool))) (let ((_let_1 (@ tptp.ord_le2843351958646193337nt_int B5))) (=> (@ _let_1 A4) (= (@ _let_1 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) A4) (@ P2 X4))))) (forall ((X4 tptp.product_prod_int_int)) (=> (@ (@ tptp.member5262025264175285858nt_int X4) B5) (@ P2 X4))))))) (forall ((X2 tptp.produc3843707927480180839at_nat) (Z5 tptp.set_Pr4329608150637261639at_nat) (X5 tptp.set_Pr4329608150637261639at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (=> (@ (@ tptp.member8757157785044589968at_nat X2) Z5) (=> (@ (@ tptp.ord_le1268244103169919719at_nat Z5) (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) X5) (@ P2 X4))))) (@ P2 X2)))) (forall ((X2 Bool) (Z5 tptp.set_o) (X5 tptp.set_o) (P2 (-> Bool Bool))) (=> (@ (@ tptp.member_o X2) Z5) (=> (@ (@ tptp.ord_less_eq_set_o Z5) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) X5) (@ P2 X4))))) (@ P2 X2)))) (forall ((X2 tptp.int) (Z5 tptp.set_int) (X5 tptp.set_int) (P2 (-> tptp.int Bool))) (=> (@ (@ tptp.member_int X2) Z5) (=> (@ (@ tptp.ord_less_eq_set_int Z5) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) X5) (@ P2 X4))))) (@ P2 X2)))) (forall ((X2 tptp.product_prod_nat_nat) (Z5 tptp.set_Pr1261947904930325089at_nat) (X5 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) Z5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat Z5) (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) X5) (@ P2 X4))))) (@ P2 X2)))) (forall ((X2 tptp.nat) (Z5 tptp.set_nat) (X5 tptp.set_nat) (P2 (-> tptp.nat Bool))) (=> (@ (@ tptp.member_nat X2) Z5) (=> (@ (@ tptp.ord_less_eq_set_nat Z5) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) X5) (@ P2 X4))))) (@ P2 X2)))) (forall ((X2 tptp.product_prod_int_int) (Z5 tptp.set_Pr958786334691620121nt_int) (X5 tptp.set_Pr958786334691620121nt_int) (P2 (-> tptp.product_prod_int_int Bool))) (=> (@ (@ tptp.member5262025264175285858nt_int X2) Z5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int Z5) (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) X5) (@ P2 X4))))) (@ P2 X2)))) (forall ((X5 tptp.set_Pr4329608150637261639at_nat) (P2 (-> tptp.produc3843707927480180839at_nat Bool))) (@ (@ tptp.ord_le1268244103169919719at_nat (@ tptp.collec6321179662152712658at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) X5) (@ P2 X4))))) X5)) (forall ((X5 tptp.set_o) (P2 (-> Bool Bool))) (@ (@ tptp.ord_less_eq_set_o (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) X5) (@ P2 X4))))) X5)) (forall ((X5 tptp.set_int) (P2 (-> tptp.int Bool))) (@ (@ tptp.ord_less_eq_set_int (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) X5) (@ P2 X4))))) X5)) (forall ((X5 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.product_prod_nat_nat Bool))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) X5) (@ P2 X4))))) X5)) (forall ((X5 tptp.set_nat) (P2 (-> tptp.nat Bool))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) X5) (@ P2 X4))))) X5)) (forall ((X5 tptp.set_Pr958786334691620121nt_int) (P2 (-> tptp.product_prod_int_int Bool))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X4) X5) (@ P2 X4))))) X5)) (forall ((T2 (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat (lambda ((X4 Bool)) X4)) T2) T2)) (forall ((T2 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat (lambda ((X4 tptp.nat)) X4)) T2) T2)) (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((L3 tptp.nat) (R5 tptp.nat)) (@ (@ (@ F2 L3) R5) Y5))) X4))) (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((L3 tptp.nat) (R5 tptp.nat)) (@ (@ (@ F2 L3) R5) Y5))) X4))) (forall ((H (-> Bool Bool)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> Bool tptp.int)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> tptp.int tptp.int)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> tptp.product_prod_int_int tptp.int)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> Bool tptp.product_prod_int_int)) (F (-> tptp.int tptp.int Bool)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4947309494688390418_int_o F) Prod)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> tptp.int tptp.product_prod_int_int)) (F (-> tptp.int tptp.int tptp.int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc8211389475949308722nt_int F) Prod)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> tptp.product_prod_int_int tptp.product_prod_int_int)) (F (-> tptp.int tptp.int tptp.product_prod_int_int)) (Prod tptp.product_prod_int_int)) (= (@ H (@ (@ tptp.produc4245557441103728435nt_int F) Prod)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) (@ H (@ (@ F X12) X23)))) Prod))) (forall ((H (-> (-> tptp.product_prod_nat_nat Bool) tptp.product_prod_nat_nat Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Prod tptp.product_prod_nat_nat)) (= (@ H (@ (@ tptp.produc8739625826339149834_nat_o F) Prod)) (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X12 tptp.nat) (X23 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ H (@ (@ F X12) X23)) __flatten_var_0))) Prod))) (forall ((Prod tptp.product_prod_int_int)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((Uu tptp.int) (Uv tptp.int)) true)) Prod)) (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.int)) (=> (@ P2 X) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) (@ tptp.collect_int P2))) B5))) (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.int)) (=> (@ P2 X) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) (@ tptp.collect_int P2))) B5))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_rat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) (@ tptp.collect_nat P2))) B5))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o F) (@ tptp.collect_nat P2))) B5))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) (@ tptp.collect_nat P2))) B5))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) (@ tptp.collect_nat P2))) B5))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat Bool)) (B5 tptp.set_o)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ P2 X) (@ (@ tptp.member_o (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_3693632289388996572_nat_o F) (@ tptp.collec3392354462482085612at_nat P2))) B5))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.nat)) (B5 tptp.set_nat)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ P2 X) (@ (@ tptp.member_nat (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) (@ tptp.collec3392354462482085612at_nat P2))) B5))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.int)) (B5 tptp.set_int)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ P2 X) (@ (@ tptp.member_int (@ F X)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_2483585944268220136at_int F) (@ tptp.collec3392354462482085612at_nat P2))) B5))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.product_prod_nat_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.nat)) (=> (@ P2 X) (@ (@ tptp.member8440522571783428010at_nat (@ F X)) B5))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) (@ tptp.collect_nat P2))) B5))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_rat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_nat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.char tptp.nat))) (= (@ (@ tptp.image_char_int (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_nat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_char_int G) tptp.top_top_set_char)))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.char tptp.int))) (= (@ (@ tptp.image_char_int (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_char_int G) tptp.top_top_set_char)))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_nat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_nat_nat F) (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_int (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_nat_int F) (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_nat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_int_nat F) (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat)))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.rat tptp.int))) (= (@ (@ tptp.image_rat_int (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat) (@ (@ tptp.image_int_int F) (@ (@ tptp.image_rat_int G) tptp.top_top_set_rat)))) (forall ((B Bool) (F (-> tptp.char Bool))) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_char_o F) tptp.top_top_set_char)) (not (forall ((X tptp.char)) (= B (not (@ F X))))))) (forall ((B tptp.nat) (F (-> tptp.char tptp.nat))) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)) (not (forall ((X tptp.char)) (not (= B (@ F X))))))) (forall ((B tptp.int) (F (-> tptp.char tptp.int))) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_char_int F) tptp.top_top_set_char)) (not (forall ((X tptp.char)) (not (= B (@ F X))))))) (forall ((B Bool) (F (-> tptp.rat Bool))) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)) (not (forall ((X tptp.rat)) (= B (not (@ F X))))))) (forall ((B tptp.nat) (F (-> tptp.rat tptp.nat))) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)) (not (forall ((X tptp.rat)) (not (= B (@ F X))))))) (forall ((B tptp.int) (F (-> tptp.rat tptp.int))) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)) (not (forall ((X tptp.rat)) (not (= B (@ F X))))))) (forall ((B tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (not (= B (@ F X))))))) (forall ((B Bool) (F (-> tptp.nat Bool))) (=> (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (= B (not (@ F X))))))) (forall ((B tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (not (= B (@ F X))))))) (forall ((B tptp.int) (F (-> tptp.nat tptp.int))) (=> (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) (not (forall ((X tptp.nat)) (not (= B (@ F X))))))) (forall ((Sb (-> tptp.num tptp.num Bool)) (I (-> tptp.nat tptp.num)) (X2 (-> tptp.int tptp.nat)) (Y3 (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sb) (@ (@ tptp.comp_nat_num_int I) X2)) Y3) (@ (@ (@ (@ tptp.bNF_re272988434038980259at_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.nat) (__flatten_var_0 tptp.num)) (@ (@ Sb (@ I X4)) __flatten_var_0))) X2) Y3))) (forall ((Sb (-> tptp.num tptp.num Bool)) (I (-> tptp.num tptp.num)) (X2 (-> tptp.int tptp.num)) (Y3 (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sb) (@ (@ tptp.comp_num_num_int I) X2)) Y3) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.num) (__flatten_var_0 tptp.num)) (@ (@ Sb (@ I X4)) __flatten_var_0))) X2) Y3))) (forall ((Sa (-> tptp.num tptp.num Bool)) (X2 (-> tptp.int tptp.num)) (G (-> tptp.nat tptp.num)) (Y3 (-> tptp.int tptp.nat))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sa) X2) (@ (@ tptp.comp_nat_num_int G) Y3)) (@ (@ (@ (@ tptp.bNF_re1845987051190671011um_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ Sa X4) (@ G Y5)))) X2) Y3))) (forall ((Sa (-> tptp.num tptp.num Bool)) (X2 (-> tptp.int tptp.num)) (G (-> tptp.num tptp.num)) (Y3 (-> tptp.int tptp.num))) (= (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) Sa) X2) (@ (@ tptp.comp_num_num_int G) Y3)) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((X4 tptp.num) (Y5 tptp.num)) (@ (@ Sa X4) (@ G Y5)))) X2) Y3))) (forall ((Q2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (P2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Z2 tptp.product_prod_nat_nat)) (=> (@ Q2 (@ (@ tptp.produc27273713700761075at_nat P2) Z2)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= Z2 (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))) (forall ((Q2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (P2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (Z2 tptp.product_prod_nat_nat)) (=> (@ Q2 (@ (@ tptp.produc8739625826339149834_nat_o P2) Z2)) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= Z2 (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))) (forall ((Q2 (-> tptp.product_prod_int_int Bool)) (P2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (Z2 tptp.product_prod_int_int)) (=> (@ Q2 (@ (@ tptp.produc4245557441103728435nt_int P2) Z2)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= Z2 (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))) (forall ((Q2 (-> Bool Bool)) (P2 (-> tptp.int tptp.int Bool)) (Z2 tptp.product_prod_int_int)) (=> (@ Q2 (@ (@ tptp.produc4947309494688390418_int_o P2) Z2)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= Z2 (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))) (forall ((Q2 (-> tptp.int Bool)) (P2 (-> tptp.int tptp.int tptp.int)) (Z2 tptp.product_prod_int_int)) (=> (@ Q2 (@ (@ tptp.produc8211389475949308722nt_int P2) Z2)) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= Z2 (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ Q2 (@ (@ P2 X) Y)))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (= (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ F (@ (@ tptp.product_Pair_nat_nat X4) Y5)) __flatten_var_0))) F)) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ F (@ (@ tptp.product_Pair_nat_nat X4) Y5)) __flatten_var_0))) F)) (forall ((F (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (= (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X4) Y5)))) F)) (forall ((F (-> tptp.product_prod_int_int Bool))) (= (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X4) Y5)))) F)) (forall ((F (-> tptp.product_prod_int_int tptp.int))) (= (@ tptp.produc8211389475949308722nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ F (@ (@ tptp.product_Pair_int_int X4) Y5)))) F)) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_nat_nat X) Y)))) (= (@ tptp.produc27273713700761075at_nat F) G))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_nat_nat X) Y)))) (= (@ tptp.produc8739625826339149834_nat_o F) G))) (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G (-> tptp.product_prod_int_int tptp.product_prod_int_int))) (=> (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_int_int X) Y)))) (= (@ tptp.produc4245557441103728435nt_int F) G))) (forall ((F (-> tptp.int tptp.int Bool)) (G (-> tptp.product_prod_int_int Bool))) (=> (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_int_int X) Y)))) (= (@ tptp.produc4947309494688390418_int_o F) G))) (forall ((F (-> tptp.int tptp.int tptp.int)) (G (-> tptp.product_prod_int_int tptp.int))) (=> (forall ((X tptp.int) (Y tptp.int)) (= (@ (@ F X) Y) (@ G (@ (@ tptp.product_Pair_int_int X) Y)))) (= (@ tptp.produc8211389475949308722nt_int F) G))) (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.produc9020218426428501292_nat_o F) (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.produc410239310623530412_nat_o F) (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.nat tptp.num Bool)) (A tptp.nat) (B tptp.num)) (=> (@ (@ tptp.produc4927758841916487424_num_o F) (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.nat tptp.nat Bool)) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.produc6081775807080527818_nat_o F) (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ F A) B))) (forall ((F (-> tptp.int tptp.int Bool)) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.produc4947309494688390418_int_o F) (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ F A) B))) (forall ((C (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool)) (P tptp.produc1319942482725812455at_nat)) (=> (@ (@ tptp.produc9020218426428501292_nat_o C) P) (not (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (= P (@ (@ tptp.produc9060074326276436823at_nat X) Y)) (not (@ (@ C X) Y))))))) (forall ((C (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool)) (P tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.produc410239310623530412_nat_o C) P) (not (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (= P (@ (@ tptp.produc2922128104949294807at_nat X) Y)) (not (@ (@ C X) Y))))))) (forall ((C (-> tptp.nat tptp.num Bool)) (P tptp.product_prod_nat_num)) (=> (@ (@ tptp.produc4927758841916487424_num_o C) P) (not (forall ((X tptp.nat) (Y tptp.num)) (=> (= P (@ (@ tptp.product_Pair_nat_num X) Y)) (not (@ (@ C X) Y))))))) (forall ((C (-> tptp.nat tptp.nat Bool)) (P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.produc6081775807080527818_nat_o C) P) (not (forall ((X tptp.nat) (Y tptp.nat)) (=> (= P (@ (@ tptp.product_Pair_nat_nat X) Y)) (not (@ (@ C X) Y))))))) (forall ((C (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int)) (=> (@ (@ tptp.produc4947309494688390418_int_o C) P) (not (forall ((X tptp.int) (Y tptp.int)) (=> (= P (@ (@ tptp.product_Pair_int_int X) Y)) (not (@ (@ C X) Y))))))) _let_213 (= tptp.product_fst_int_int (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) X12))) _let_211 (= tptp.product_snd_int_int (@ tptp.produc8211389475949308722nt_int (lambda ((X12 tptp.int) (X23 tptp.int)) X23))) _let_209 (forall ((H (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc27273713700761075at_nat H) (@ (@ (@ tptp.produc6977886695330630970at_nat F) G) X2)) (@ (@ tptp.produc27273713700761075at_nat (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ H (@ F L3)) (@ G R5)) __flatten_var_0))) X2))) (forall ((H (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.produc8739625826339149834_nat_o H) (@ (@ (@ tptp.produc6977886695330630970at_nat F) G) X2)) (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ H (@ F L3)) (@ G R5)) __flatten_var_0))) X2))) (forall ((H (-> tptp.int tptp.int tptp.product_prod_int_int)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.product_prod_int_int)) (= (@ (@ tptp.produc4245557441103728435nt_int H) (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) X2)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ H (@ F L3)) (@ G R5)))) X2))) (forall ((H (-> tptp.int tptp.int Bool)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.product_prod_int_int)) (= (@ (@ tptp.produc4947309494688390418_int_o H) (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) X2)) (@ (@ tptp.produc4947309494688390418_int_o (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ H (@ F L3)) (@ G R5)))) X2))) (forall ((H (-> tptp.int tptp.int tptp.int)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (X2 tptp.product_prod_int_int)) (= (@ (@ tptp.produc8211389475949308722nt_int H) (@ (@ (@ tptp.produc6036585564866528938nt_int F) G) X2)) (@ (@ tptp.produc8211389475949308722nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ H (@ F L3)) (@ G R5)))) X2))) (forall ((R (-> tptp.int tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.conver1866313717161370910at_nat (@ (@ tptp.relcom716700242784427165at_nat R) S2)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat S2)) (@ tptp.conver1866313717161370910at_nat R)))) (forall ((R (-> tptp.code_integer tptp.int Bool)) (S2 (-> tptp.int tptp.int Bool))) (= (@ tptp.conver1462408618118490240er_int (@ (@ tptp.relcom3789353511612409832nt_int R) S2)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int S2)) (@ tptp.conver1462408618118490240er_int R)))) (forall ((R (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S2 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ tptp.conver4689305806000247544at_int (@ (@ tptp.relcom8911704206367525917at_int R) S2)) (@ (@ tptp.relcom716700242784427165at_nat (@ tptp.conver4689305806000247544at_int S2)) (@ tptp.conver6965824823119931701at_nat R)))) (forall ((R (-> tptp.int tptp.int Bool)) (S2 (-> tptp.int tptp.code_integer Bool))) (= (@ tptp.conver2101108097643427968nteger (@ (@ tptp.relcom967497705283160040nteger R) S2)) (@ (@ tptp.relcom3789353511612409832nt_int (@ tptp.conver2101108097643427968nteger S2)) (@ tptp.conversep_int_int R)))) (forall ((A4 tptp.set_Pr7459493094073627847at_nat) (R3 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat Bool))) (=> (@ (@ tptp.ord_le5997549366648089703at_nat A4) (@ tptp.collec7872792499061297490at_nat (@ tptp.produc9020218426428501292_nat_o (@ tptp.conver9095369822871743413at_nat R3)))) (@ (@ tptp.ord_le5997549366648089703at_nat (@ (@ tptp.image_3313167189156628421at_nat (@ tptp.produc5456455677105495163at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat Y5) X4)))) A4)) (@ tptp.collec7872792499061297490at_nat (@ tptp.produc9020218426428501292_nat_o R3))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R3 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat Bool))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o (@ tptp.conver5243090411617913141at_nat R3)))) (@ (@ tptp.ord_le1268244103169919719at_nat (@ (@ tptp.image_960689587819713477at_nat (@ tptp.produc7548845685434208379at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat Y5) X4)))) A4)) (@ tptp.collec6321179662152712658at_nat (@ tptp.produc410239310623530412_nat_o R3))))) (forall ((A4 tptp.set_Pr3280342998896498603um_nat) (R3 (-> tptp.nat tptp.num Bool))) (=> (@ (@ tptp.ord_le5164908622851071819um_nat A4) (@ tptp.collec1522684865789554998um_nat (@ tptp.produc6857965554392702720_nat_o (@ tptp.conversep_nat_num R3)))) (@ (@ tptp.ord_le8085105155179020875at_num (@ (@ tptp.image_7762062833379733445at_num (@ tptp.produc5219324331026901427at_num (lambda ((X4 tptp.num) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_num Y5) X4)))) A4)) (@ tptp.collec4100598399430923318at_num (@ tptp.produc4927758841916487424_num_o R3))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R3 (-> tptp.nat tptp.nat Bool))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (@ tptp.conversep_nat_nat R3)))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) A4)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3))))) (forall ((A4 tptp.set_Pr958786334691620121nt_int) (R3 (-> tptp.int tptp.int Bool))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (@ tptp.conversep_int_int R3)))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2653370878348428101nt_int (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int Y5) X4)))) A4)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.produc3843707927480180839at_nat) (S5 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (Y3 Bool)) (let ((_let_1 (@ tptp.member8757157785044589968at_nat X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o4913564575355137019t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.product_prod_nat_nat) (S5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (Y3 Bool)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o2254869825208929t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 Bool) (S5 (-> Bool tptp.set_o)) (Y3 Bool)) (let ((_let_1 (@ tptp.member_o X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o6895741221744486154t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.nat) (S5 (-> Bool tptp.set_nat)) (Y3 Bool)) (let ((_let_1 (@ tptp.member_nat X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o9190160103024335696t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (X2 tptp.int) (S5 (-> Bool tptp.set_int)) (Y3 Bool)) (let ((_let_1 (@ tptp.member_int X2))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (=> (@ _let_1 (@ (@ (@ tptp.comp_o1521574261646630388t_unit S5) Rep) (@ Abs Y3))) (@ _let_1 (@ S5 Y3)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (F (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi6818137723729380987_o_o_o F) Rep) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) H)) F))))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (F (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.char))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi9149698133064535136char_o F) Rep) (@ (@ tptp.bNF_Grp_int_char (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_char_nat_int Abs) H)) F))))) (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (F (-> tptp.nat Bool)) (P2 (-> Bool Bool)) (H (-> Bool tptp.char))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi8816436626763797690char_o F) Rep) (@ (@ tptp.bNF_Grp_o_char (@ tptp.collect_o P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) H)) F))))) (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (F (-> tptp.int tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.char))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi1300075849944819442char_o F) Rep) (@ (@ tptp.bNF_Grp_nat_char (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_int_num (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) H)) F))))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (F (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.char))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (= (@ (@ (@ tptp.bNF_vi8943400373106913048char_o F) Rep) (@ (@ tptp.bNF_Grp_nat_char (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_char_nat_nat Abs) H)) F))))) (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (F (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.rat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi1281217848275042457_rat_o F) Rep) (@ (@ tptp.bNF_Grp_int_rat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_rat_nat_int Abs) H)) F))))) (forall ((Rep (-> Bool tptp.rat)) (Abs (-> tptp.rat Bool)) (F (-> tptp.nat Bool)) (P2 (-> Bool Bool)) (H (-> Bool tptp.rat))) (=> (@ (@ (@ tptp.type_d6486251586359353412_o_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi3868162310295888627_rat_o F) Rep) (@ (@ tptp.bNF_Grp_o_rat (@ tptp.collect_o P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_rat_o_o Abs) H)) F))))) (forall ((Rep (-> tptp.num tptp.rat)) (Abs (-> tptp.rat tptp.num)) (F (-> tptp.int tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.rat))) (=> (@ (@ (@ tptp.type_d3745694291998722336um_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi7769575839906753835_rat_o F) Rep) (@ (@ tptp.bNF_Grp_nat_rat (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_int_num (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_rat_num_nat Abs) H)) F))))) (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.rat))) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) tptp.top_top_set_rat) (= (@ (@ (@ tptp.bNF_vi2930123780028963665_rat_o F) Rep) (@ (@ tptp.bNF_Grp_nat_rat (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_rat_nat_nat Abs) H)) F))))) (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi5018550775591610529_nat_o F) Rep) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ F X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_nat_nat_int Abs) H)) F))))) (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (G (-> tptp.nat tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (= (@ (@ (@ tptp.bNF_vi1731478210338170163_nat_o G) Abs) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_nat_num (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_int_num_nat (@ (@ tptp.comp_nat_num_int Rep) H)) G))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (G (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi6818137723729380987_o_o_o G) Abs) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Rep) H)) G))))) (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.int))) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi3197508430158922565_int_o G) Abs) (@ (@ tptp.bNF_Grp_int_int (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int (lambda ((X4 tptp.int)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_int_nat_int Rep) H)) G))))) (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.int))) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi8357618154448083105_int_o G) Abs) (@ (@ tptp.bNF_Grp_int_int (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_int_nat_nat (@ (@ tptp.comp_int_nat_int Rep) H)) G))))) (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) tptp.top_top_set_nat) (= (@ (@ (@ tptp.bNF_vi6667456707345531737_nat_o G) Abs) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_nat_nat_nat Rep) H)) G))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (G (-> tptp.nat Bool)) (P2 (-> Bool Bool)) (H (-> Bool tptp.product_unit))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi5856767400800367702unit_o G) Abs) (@ (@ tptp.bNF_Gr395642070819736771t_unit (@ tptp.collect_o P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_P5156358013004227690it_o_o Rep) H)) G))))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (G (-> tptp.nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat tptp.product_unit))) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi1443435967014148806unit_o G) Abs) (@ (@ tptp.bNF_Gr1993012052113314029t_unit (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_P4985893458130756478_o_nat Rep) H)) G))))) (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (G (-> tptp.product_prod_nat_nat tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (= (@ (@ (@ tptp.bNF_vi9094538908245281400_nat_o G) Abs) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Gr5974128493091723341at_num (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_i1186163378102392086at_nat (@ (@ tptp.comp_nat_num_int Rep) H)) G))))) (forall ((Rep (-> tptp.nat tptp.num)) (Abs (-> tptp.num tptp.nat)) (G (-> tptp.product_prod_int_int tptp.int)) (P2 (-> tptp.int Bool)) (H (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d2807825734933527320at_num Rep) Abs) tptp.top_top_set_num) (= (@ (@ (@ tptp.bNF_vi1633389952966819264_nat_o G) Abs) (@ (@ tptp.bNF_Grp_int_nat (@ tptp.collect_int P2)) H)) (@ (@ tptp.bNF_Gr8532703628021589765nt_num (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_i7231038107349025742nt_int (@ (@ tptp.comp_nat_num_int Rep) H)) G))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (G (-> tptp.product_prod_nat_nat tptp.nat)) (P2 (-> tptp.nat Bool)) (H (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (= (@ (@ (@ tptp.bNF_vi9025507403824386624_o_o_o G) Abs) (@ (@ tptp.bNF_Grp_nat_o (@ tptp.collect_nat P2)) H)) (@ (@ tptp.bNF_Gr8859634586176591525_nat_o (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ P2 (@ G X4))))) (@ (@ tptp.comp_n1662990198670838940at_nat (@ (@ tptp.comp_o_o_nat Rep) H)) G))))) (forall ((P2 (-> tptp.nat tptp.nat Bool)) (P tptp.product_prod_nat_nat) (Q2 (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ (@ P2 (@ tptp.product_snd_nat_nat P)) (@ tptp.product_fst_nat_nat P)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc27273713700761075at_nat F) P))))) (forall ((P2 (-> tptp.nat tptp.nat Bool)) (P tptp.product_prod_nat_nat) (Q2 (-> (-> tptp.product_prod_nat_nat Bool) Bool)) (F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool))) (=> (@ (@ P2 (@ tptp.product_snd_nat_nat P)) (@ tptp.product_fst_nat_nat P)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc8739625826339149834_nat_o F) P))))) (forall ((P2 (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int) (Q2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.int tptp.int tptp.product_prod_int_int))) (=> (@ (@ P2 (@ tptp.product_snd_int_int P)) (@ tptp.product_fst_int_int P)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc4245557441103728435nt_int F) P))))) (forall ((P2 (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int) (Q2 (-> Bool Bool)) (F (-> tptp.int tptp.int Bool))) (=> (@ (@ P2 (@ tptp.product_snd_int_int P)) (@ tptp.product_fst_int_int P)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc4947309494688390418_int_o F) P))))) (forall ((P2 (-> tptp.int tptp.int Bool)) (P tptp.product_prod_int_int) (Q2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int tptp.int))) (=> (@ (@ P2 (@ tptp.product_snd_int_int P)) (@ tptp.product_fst_int_int P)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ P2 Y) X) (@ Q2 (@ (@ F X) Y)))) (@ Q2 (@ (@ tptp.produc8211389475949308722nt_int F) P))))) (= tptp.produc27273713700761075at_nat (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (X4 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat X4)) (@ tptp.product_snd_nat_nat X4)) __flatten_var_0))) (= tptp.produc8739625826339149834_nat_o (lambda ((F2 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (X4 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F2 (@ tptp.product_fst_nat_nat X4)) (@ tptp.product_snd_nat_nat X4)) __flatten_var_0))) (= tptp.produc4245557441103728435nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.product_prod_int_int)) (X4 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int X4)) (@ tptp.product_snd_int_int X4)))) (= tptp.produc4947309494688390418_int_o (lambda ((F2 (-> tptp.int tptp.int Bool)) (X4 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int X4)) (@ tptp.product_snd_int_int X4)))) (= tptp.produc8211389475949308722nt_int (lambda ((F2 (-> tptp.int tptp.int tptp.int)) (X4 tptp.product_prod_int_int)) (@ (@ F2 (@ tptp.product_fst_int_int X4)) (@ tptp.product_snd_int_int X4)))) (= tptp.produc27273713700761075at_nat (lambda ((C4 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ C4 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))) (= tptp.produc8739625826339149834_nat_o (lambda ((C4 (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (P3 tptp.product_prod_nat_nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ C4 (@ tptp.product_fst_nat_nat P3)) (@ tptp.product_snd_nat_nat P3)) __flatten_var_0))) (= tptp.produc4245557441103728435nt_int (lambda ((C4 (-> tptp.int tptp.int tptp.product_prod_int_int)) (P3 tptp.product_prod_int_int)) (@ (@ C4 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))) (= tptp.produc4947309494688390418_int_o (lambda ((C4 (-> tptp.int tptp.int Bool)) (P3 tptp.product_prod_int_int)) (@ (@ C4 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))) (= tptp.produc8211389475949308722nt_int (lambda ((C4 (-> tptp.int tptp.int tptp.int)) (P3 tptp.product_prod_int_int)) (@ (@ C4 (@ tptp.product_fst_int_int P3)) (@ tptp.product_snd_int_int P3)))) (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.ord_le3072208448688395470_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (@ (@ tptp.ord_le5997549366648089703at_nat R3) S5))) (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.ord_le3935385432712749774_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (@ (@ tptp.ord_le1268244103169919719at_nat R3) S5))) (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.ord_le3404735783095501756_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (@ (@ tptp.ord_le8085105155179020875at_num R3) S5))) (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le2646555220125990790_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (@ (@ tptp.ord_le3146513528884898305at_nat R3) S5))) (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.ord_le6741204236512500942_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (@ (@ tptp.ord_le2843351958646193337nt_int R3) S5))) _let_208 _let_207 _let_206 _let_205 _let_204 (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite8619596206551965927at_nat S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite2110315540964234241at_nat S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat)) (X2 Bool) (Y3 Bool)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite4703585013658510744_o_nat S5) F) (=> (@ (@ tptp.member_o X2) S5) (=> (@ (@ tptp.member_o Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite3582905537739598962at_nat S5) F) (=> (@ (@ tptp.member_nat X2) S5) (=> (@ (@ tptp.member_nat Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat)) (X2 tptp.int) (Y3 tptp.int)) (let ((_let_1 (@ F Y3))) (let ((_let_2 (@ F X2))) (=> (@ (@ tptp.finite4582259249640653518nt_nat S5) F) (=> (@ (@ tptp.member_int X2) S5) (=> (@ (@ tptp.member_int Y3) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1)))))))) (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat Bool Bool)) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite2818816984019561153_nat_o S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite8619596206551965927at_nat S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat Bool Bool)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite1496024664758132007_nat_o S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite2110315540964234241at_nat S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_o) (F (-> Bool Bool Bool)) (X2 Bool) (Y3 Bool) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite7905178416053733328on_o_o S5) F) (=> (@ (@ tptp.member_o X2) S5) (=> (@ (@ tptp.member_o Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat)) (X2 Bool) (Y3 Bool) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite4703585013658510744_o_nat S5) F) (=> (@ (@ tptp.member_o X2) S5) (=> (@ (@ tptp.member_o Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_nat) (F (-> tptp.nat Bool Bool)) (X2 tptp.nat) (Y3 tptp.nat) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite7806256374766696054_nat_o S5) F) (=> (@ (@ tptp.member_nat X2) S5) (=> (@ (@ tptp.member_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite3582905537739598962at_nat S5) F) (=> (@ (@ tptp.member_nat X2) S5) (=> (@ (@ tptp.member_nat Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_int) (F (-> tptp.int Bool Bool)) (X2 tptp.int) (Y3 tptp.int) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.comp_o_o_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_o_o_nat (@ F X2)))) (=> (@ (@ tptp.finite5985214029334008090_int_o S5) F) (=> (@ (@ tptp.member_int X2) S5) (=> (@ (@ tptp.member_int Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat)) (X2 tptp.int) (Y3 tptp.int) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_nat_nat_nat (@ F Y3)))) (let ((_let_2 (@ tptp.comp_nat_nat_nat (@ F X2)))) (=> (@ (@ tptp.finite4582259249640653518nt_nat S5) F) (=> (@ (@ tptp.member_int X2) S5) (=> (@ (@ tptp.member_int Y3) S5) (= (@ _let_1 (@ _let_2 G)) (@ _let_2 (@ _let_1 G))))))))) (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat))) (=> (forall ((X tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member8757157785044589968at_nat X) S5) (=> (@ (@ tptp.member8757157785044589968at_nat Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite8619596206551965927at_nat S5) F))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat))) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member8440522571783428010at_nat X) S5) (=> (@ (@ tptp.member8440522571783428010at_nat Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite2110315540964234241at_nat S5) F))) (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat))) (=> (forall ((X Bool) (Y Bool)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member_o X) S5) (=> (@ (@ tptp.member_o Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite4703585013658510744_o_nat S5) F))) (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat))) (=> (forall ((X tptp.nat) (Y tptp.nat)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member_nat X) S5) (=> (@ (@ tptp.member_nat Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite3582905537739598962at_nat S5) F))) (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat))) (=> (forall ((X tptp.int) (Y tptp.int)) (let ((_let_1 (@ F Y))) (let ((_let_2 (@ F X))) (=> (@ (@ tptp.member_int X) S5) (=> (@ (@ tptp.member_int Y) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_2) (@ (@ tptp.comp_nat_nat_nat _let_2) _let_1))))))) (@ (@ tptp.finite4582259249640653518nt_nat S5) F))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P3913276677246710332at_nat (@ tptp.produc27273713700761075at_nat F)) (@ (@ tptp.produc6977886695330630970at_nat G1) G22)) (@ tptp.produc27273713700761075at_nat (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F (@ G1 L3)) (@ G22 R5)) __flatten_var_0))))) (forall ((F (-> tptp.nat tptp.nat tptp.product_prod_nat_nat Bool)) (G1 (-> tptp.nat tptp.nat)) (G22 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_P2002127591014248037at_nat (@ tptp.produc8739625826339149834_nat_o F)) (@ (@ tptp.produc6977886695330630970at_nat G1) G22)) (@ tptp.produc8739625826339149834_nat_o (lambda ((L3 tptp.nat) (R5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ (@ F (@ G1 L3)) (@ G22 R5)) __flatten_var_0))))) (forall ((F (-> tptp.int tptp.int tptp.product_prod_int_int)) (G1 (-> tptp.int tptp.int)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P2788356708182965334nt_int (@ tptp.produc4245557441103728435nt_int F)) (@ (@ tptp.produc6036585564866528938nt_int G1) G22)) (@ tptp.produc4245557441103728435nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ F (@ G1 L3)) (@ G22 R5)))))) (forall ((F (-> tptp.int tptp.int Bool)) (G1 (-> tptp.int tptp.int)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P9034173210191959223nt_int (@ tptp.produc4947309494688390418_int_o F)) (@ (@ tptp.produc6036585564866528938nt_int G1) G22)) (@ tptp.produc4947309494688390418_int_o (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ F (@ G1 L3)) (@ G22 R5)))))) (forall ((F (-> tptp.int tptp.int tptp.int)) (G1 (-> tptp.int tptp.int)) (G22 (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_P5356232565778667509nt_int (@ tptp.produc8211389475949308722nt_int F)) (@ (@ tptp.produc6036585564866528938nt_int G1) G22)) (@ tptp.produc8211389475949308722nt_int (lambda ((L3 tptp.int) (R5 tptp.int)) (@ (@ F (@ G1 L3)) (@ G22 R5)))))) (forall ((Rep (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Abs (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.int tptp.int)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ (@ tptp.type_d281131942595027436at_nat Rep) Abs) tptp.top_to4669805908274784177at_nat) (= (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o F) G) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat R3)) S5)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ (@ tptp.bNF_vi763171854521451549_nat_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi5426221348228882691_int_o Rep) G) S5))))) (forall ((Rep (-> tptp.int tptp.product_prod_nat_nat)) (Abs (-> tptp.product_prod_nat_nat tptp.int)) (F (-> tptp.int tptp.product_prod_nat_nat)) (G (-> tptp.code_integer tptp.int)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ (@ tptp.type_d7732240953928457511at_nat Rep) Abs) tptp.top_to4669805908274784177at_nat) (= (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o F) G) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat R3)) S5)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ (@ tptp.bNF_vi1204582724742824157_nat_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi2881549544236934259_int_o Rep) G) S5))))) (forall ((Rep (-> tptp.product_prod_nat_nat tptp.int)) (Abs (-> tptp.int tptp.product_prod_nat_nat)) (F (-> tptp.product_prod_nat_nat tptp.int)) (G (-> tptp.int tptp.code_integer)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ (@ tptp.type_d1331861005912558337at_int Rep) Abs) tptp.top_top_set_int) (= (@ (@ (@ tptp.bNF_vi33923956287962137eger_o F) G) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int R3)) S5)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ (@ tptp.bNF_vi2682369418337388893_int_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi33923956287962137eger_o Rep) G) S5))))) (forall ((Rep (-> tptp.int tptp.int)) (Abs (-> tptp.int tptp.int)) (F (-> tptp.int tptp.int)) (G (-> tptp.code_integer tptp.code_integer)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ (@ tptp.type_d7247357190169752966nt_int Rep) Abs) tptp.top_top_set_int) (= (@ (@ (@ tptp.bNF_vi699694178825965831eger_o F) G) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int R3)) S5)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ (@ tptp.bNF_vi3884084463199473129_int_o Rep) F) R3))) (@ (@ (@ tptp.bNF_vi699694178825965831eger_o Rep) G) S5))))) (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) Y3)) (@ tptp.id_on_7869290023980668164at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member8757157785044589968at_nat X2) A4)))) (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) (@ tptp.id_on_2554058798563519774at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member8440522571783428010at_nat X2) A4)))) (forall ((X2 Bool) (Y3 Bool) (A4 tptp.set_o)) (= (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X2) Y3)) (@ tptp.id_on_o A4)) (and (= X2 Y3) (@ (@ tptp.member_o X2) A4)))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ tptp.id_on_3275838214495744996at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member6273874620674182256at_nat X2) A4)))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ tptp.id_on_6713504163309144702at_nat A4)) (and (= X2 Y3) (@ (@ tptp.member2643936169264416010at_nat X2) A4)))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (A4 tptp.set_nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ tptp.id_on_nat A4)) (and (= X2 Y3) (@ (@ tptp.member_nat X2) A4)))) (forall ((X2 tptp.int) (Y3 tptp.int) (A4 tptp.set_int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ tptp.id_on_int A4)) (and (= X2 Y3) (@ (@ tptp.member_int X2) A4)))) (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (= A B) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) (@ tptp.id_on_7869290023980668164at_nat A4))))) (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (= A B) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) (@ tptp.id_on_2554058798563519774at_nat A4))))) (forall ((A Bool) (B Bool) (A4 tptp.set_o)) (=> (= A B) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ tptp.id_on_o A4))))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (= A B) (=> (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ tptp.id_on_3275838214495744996at_nat A4))))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (= A B) (=> (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ tptp.id_on_6713504163309144702at_nat A4))))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat)) (=> (= A B) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ tptp.id_on_nat A4))))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int)) (=> (= A B) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ tptp.id_on_int A4))))) (forall ((C tptp.produc1906917888121415911at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6009668390874684176at_nat C) (@ tptp.id_on_7869290023980668164at_nat A4)) (not (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (not (= C (@ (@ tptp.produc2335810615602371415at_nat X) X)))))))) (forall ((C tptp.produc859450856879609959at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat C) (@ tptp.id_on_2554058798563519774at_nat A4)) (not (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (not (= C (@ (@ tptp.produc6161850002892822231at_nat X) X)))))))) (forall ((C tptp.product_prod_o_o) (A4 tptp.set_o)) (=> (@ (@ tptp.member7466972457876170832od_o_o C) (@ tptp.id_on_o A4)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= C (@ (@ tptp.product_Pair_o_o X) X)))))))) (forall ((C tptp.produc1319942482725812455at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat C) (@ tptp.id_on_3275838214495744996at_nat A4)) (not (forall ((X tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X) A4) (not (= C (@ (@ tptp.produc9060074326276436823at_nat X) X)))))))) (forall ((C tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat C) (@ tptp.id_on_6713504163309144702at_nat A4)) (not (forall ((X tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X) A4) (not (= C (@ (@ tptp.produc2922128104949294807at_nat X) X)))))))) (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ tptp.id_on_nat A4)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (= C (@ (@ tptp.product_Pair_nat_nat X) X)))))))) (forall ((C tptp.product_prod_int_int) (A4 tptp.set_int)) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ tptp.id_on_int A4)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= C (@ (@ tptp.product_Pair_int_int X) X)))))))) (forall ((R1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (P2 (-> tptp.nat tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ (@ tptp.bNF_re578469030762574527_nat_o R1) (@ (@ tptp.bNF_re4705727531993890431at_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ (@ tptp.member8440522571783428010at_nat B) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R1))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R22))) (= (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.product_fst_nat_nat B)) (@ (@ Q2 (@ tptp.product_snd_nat_nat A)) (@ tptp.product_snd_nat_nat B))))))))) (forall ((R1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.int tptp.int Bool)) (P2 (-> tptp.nat tptp.int Bool)) (Q2 (-> tptp.nat tptp.int Bool)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.product_prod_int_int) (B5 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ (@ (@ tptp.bNF_re605504016728627135_int_o R1) (@ (@ tptp.bNF_re5089333283451836215nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ (@ tptp.member5262025264175285858nt_int B) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R1))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R22))) (= (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.product_fst_int_int B)) (@ (@ Q2 (@ tptp.product_snd_nat_nat A)) (@ tptp.product_snd_int_int B))))))))) (forall ((R1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (P2 (-> tptp.int tptp.nat Bool)) (Q2 (-> tptp.int tptp.nat Bool)) (A tptp.product_prod_int_int) (A4 tptp.set_Pr958786334691620121nt_int) (B tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ (@ tptp.bNF_re3376528473927230327_nat_o R1) (@ (@ tptp.bNF_re4705727531993890431at_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member5262025264175285858nt_int A) A4) (=> (@ (@ tptp.member8440522571783428010at_nat B) B5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R1))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R22))) (= (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.product_fst_nat_nat B)) (@ (@ Q2 (@ tptp.product_snd_int_int A)) (@ tptp.product_snd_nat_nat B))))))))) (forall ((R1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (P2 (-> tptp.int tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool)) (A tptp.product_prod_int_int) (A4 tptp.set_Pr958786334691620121nt_int) (B tptp.product_prod_int_int) (B5 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ (@ (@ tptp.bNF_re3403563459893282935_int_o R1) (@ (@ tptp.bNF_re5089333283451836215nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member5262025264175285858nt_int A) A4) (=> (@ (@ tptp.member5262025264175285858nt_int B) B5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R1))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R22))) (= (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.product_fst_int_int B)) (@ (@ Q2 (@ tptp.product_snd_int_int A)) (@ tptp.product_snd_int_int B))))))))) (forall ((R1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (P2 (-> tptp.nat tptp.ref_a Bool)) (Q2 (-> tptp.nat tptp.heap_e7401611519738050253t_unit Bool)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B tptp.produc7812382424243267045t_unit) (B5 tptp.set_Pr1133966238863718811t_unit)) (=> (@ (@ (@ (@ tptp.bNF_re5655699643857186083unit_o R1) (@ (@ tptp.bNF_re1850668159662942673it_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ (@ tptp.member7849944260330398460t_unit B) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R1))) (=> (@ (@ tptp.ord_le5525191956872776187t_unit B5) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R22))) (= (@ (@ P2 (@ tptp.product_fst_nat_nat A)) (@ tptp.produc473321116828791851t_unit B)) (@ (@ Q2 (@ tptp.product_snd_nat_nat A)) (@ tptp.produc1126150082675451753t_unit B))))))))) (forall ((R1 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (P2 (-> tptp.ref_a tptp.nat Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.nat Bool)) (A tptp.produc7812382424243267045t_unit) (A4 tptp.set_Pr1133966238863718811t_unit) (B tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ (@ (@ tptp.bNF_re9202112420002600977_nat_o R1) (@ (@ tptp.bNF_re4705727531993890431at_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member7849944260330398460t_unit A) A4) (=> (@ (@ tptp.member8440522571783428010at_nat B) B5) (=> (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R1))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R22))) (= (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.product_fst_nat_nat B)) (@ (@ Q2 (@ tptp.produc1126150082675451753t_unit A)) (@ tptp.product_snd_nat_nat B))))))))) (forall ((R1 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (R22 (-> tptp.int tptp.int Bool)) (P2 (-> tptp.ref_a tptp.int Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.int Bool)) (A tptp.produc7812382424243267045t_unit) (A4 tptp.set_Pr1133966238863718811t_unit) (B tptp.product_prod_int_int) (B5 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ (@ (@ tptp.bNF_re5775369113877777_int_o R1) (@ (@ tptp.bNF_re5089333283451836215nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member7849944260330398460t_unit A) A4) (=> (@ (@ tptp.member5262025264175285858nt_int B) B5) (=> (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R1))) (=> (@ (@ tptp.ord_le2843351958646193337nt_int B5) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R22))) (= (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.product_fst_int_int B)) (@ (@ Q2 (@ tptp.produc1126150082675451753t_unit A)) (@ tptp.product_snd_int_int B))))))))) (forall ((R1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (P2 (-> tptp.int tptp.ref_a Bool)) (Q2 (-> tptp.int tptp.heap_e7401611519738050253t_unit Bool)) (A tptp.product_prod_int_int) (A4 tptp.set_Pr958786334691620121nt_int) (B tptp.produc7812382424243267045t_unit) (B5 tptp.set_Pr1133966238863718811t_unit)) (=> (@ (@ (@ (@ tptp.bNF_re5404797796594736747unit_o R1) (@ (@ tptp.bNF_re1850668159662942673it_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member5262025264175285858nt_int A) A4) (=> (@ (@ tptp.member7849944260330398460t_unit B) B5) (=> (@ (@ tptp.ord_le2843351958646193337nt_int A4) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R1))) (=> (@ (@ tptp.ord_le5525191956872776187t_unit B5) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R22))) (= (@ (@ P2 (@ tptp.product_fst_int_int A)) (@ tptp.produc473321116828791851t_unit B)) (@ (@ Q2 (@ tptp.product_snd_int_int A)) (@ tptp.produc1126150082675451753t_unit B))))))))) (forall ((R1 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R22 (-> tptp.product_prod_nat_nat tptp.int Bool)) (P2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.int tptp.int Bool)) (A tptp.produc4196048018000912732at_int) (A4 tptp.set_Pr49084382684228242at_int) (B tptp.produc4196048018000912732at_int) (B5 tptp.set_Pr49084382684228242at_int)) (=> (@ (@ (@ (@ tptp.bNF_re717283939379294677_int_o R1) (@ (@ tptp.bNF_re6644619430987730960nt_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member8394280151737582451at_int A) A4) (=> (@ (@ tptp.member8394280151737582451at_int B) B5) (=> (@ (@ tptp.ord_le4604737605482584818at_int A4) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o R1))) (=> (@ (@ tptp.ord_le4604737605482584818at_int B5) (@ tptp.collec2851339944984316337at_int (@ tptp.produc6937227050501860053_int_o R22))) (= (@ (@ P2 (@ tptp.produc4619704898428564714at_int A)) (@ tptp.produc4619704898428564714at_int B)) (@ (@ Q2 (@ tptp.produc3064508320661873192at_int A)) (@ tptp.produc3064508320661873192at_int B))))))))) (forall ((R1 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (R22 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool)) (P2 (-> tptp.ref_a tptp.ref_a Bool)) (Q2 (-> tptp.heap_e7401611519738050253t_unit tptp.heap_e7401611519738050253t_unit Bool)) (A tptp.produc7812382424243267045t_unit) (A4 tptp.set_Pr1133966238863718811t_unit) (B tptp.produc7812382424243267045t_unit) (B5 tptp.set_Pr1133966238863718811t_unit)) (=> (@ (@ (@ (@ tptp.bNF_re1366391616432607057unit_o R1) (@ (@ tptp.bNF_re1850668159662942673it_o_o R22) (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) P2) Q2) (=> (@ (@ tptp.member7849944260330398460t_unit A) A4) (=> (@ (@ tptp.member7849944260330398460t_unit B) B5) (=> (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R1))) (=> (@ (@ tptp.ord_le5525191956872776187t_unit B5) (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R22))) (= (@ (@ P2 (@ tptp.produc473321116828791851t_unit A)) (@ tptp.produc473321116828791851t_unit B)) (@ (@ Q2 (@ tptp.produc1126150082675451753t_unit A)) (@ tptp.produc1126150082675451753t_unit B))))))))) (forall ((Z2 Bool)) (= (@ (@ (@ tptp.comp_P2137996956111167876_o_o_o tptp.product_fst_o_o) (lambda ((X4 Bool)) (@ (@ tptp.product_Pair_o_o X4) X4))) Z2) (@ tptp.id_o Z2))) (forall ((Z2 tptp.num)) (= (@ (@ (@ tptp.comp_P864883071962432936um_num tptp.product_fst_num_num) (lambda ((X4 tptp.num)) (@ (@ tptp.product_Pair_num_num X4) X4))) Z2) (@ tptp.id_num Z2))) (forall ((Z2 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.comp_P8235817900121468292at_nat tptp.produc4486455499028916547at_nat) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat X4) X4))) Z2) (@ tptp.id_set7849613212452405432at_nat Z2))) (forall ((Z2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ (@ tptp.comp_P4528037747288561284at_nat tptp.produc6011863565407846595at_nat) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat X4) X4))) Z2) (@ tptp.id_set2334057505560298834at_nat Z2))) (forall ((Z2 tptp.nat)) (= (@ (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_fst_nat_nat) (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat X4) X4))) Z2) (@ tptp.id_nat Z2))) (forall ((Z2 tptp.int)) (= (@ (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_fst_int_int) (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int X4) X4))) Z2) (@ tptp.id_int Z2))) (forall ((Z2 Bool)) (= (@ (@ (@ tptp.comp_P2137996956111167876_o_o_o tptp.product_snd_o_o) (lambda ((X4 Bool)) (@ (@ tptp.product_Pair_o_o X4) X4))) Z2) (@ tptp.id_o Z2))) (forall ((Z2 tptp.num)) (= (@ (@ (@ tptp.comp_P864883071962432936um_num tptp.product_snd_num_num) (lambda ((X4 tptp.num)) (@ (@ tptp.product_Pair_num_num X4) X4))) Z2) (@ tptp.id_num Z2))) (forall ((Z2 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.comp_P8235817900121468292at_nat tptp.produc826222791318859909at_nat) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat X4) X4))) Z2) (@ tptp.id_set7849613212452405432at_nat Z2))) (forall ((Z2 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ (@ tptp.comp_P4528037747288561284at_nat tptp.produc2937545259423399429at_nat) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat X4) X4))) Z2) (@ tptp.id_set2334057505560298834at_nat Z2))) (forall ((Z2 tptp.nat)) (= (@ (@ (@ tptp.comp_P1955610211387027840at_nat tptp.product_snd_nat_nat) (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat X4) X4))) Z2) (@ tptp.id_nat Z2))) (forall ((Z2 tptp.int)) (= (@ (@ (@ tptp.comp_P6651465171681656048nt_int tptp.product_snd_int_int) (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int X4) X4))) Z2) (@ tptp.id_int Z2))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.produc3346328345660746739nteger)) (= (@ (@ tptp.produc4281629032016041417nteger (@ (@ tptp.comp_C8797469213163452608nteger F) G)) X2) (@ (@ F (@ G (@ tptp.produc1861665112190112313nteger X2))) (@ tptp.produc7955729907432593271nteger X2)))) _let_203 _let_202 _let_201 _let_200 _let_199 (= tptp.produc473321116828791851t_unit (@ (@ tptp.comp_P1287623958910499840t_unit tptp.produc6369869760173755749_ref_a) (@ tptp.produc2058451029528183389_ref_a (lambda ((X4 tptp.ref_a) (Y5 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc2564672488694626579_ref_a Y5) X4))))) _let_198 (= tptp.product_fst_int_int (@ (@ tptp.comp_P5356232565778667509nt_int tptp.product_snd_int_int) (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int Y5) X4))))) (= tptp.produc826222791318859909at_nat (@ (@ tptp.comp_P3728553842126764068at_nat tptp.produc4486455499028916547at_nat) (@ tptp.produc5456455677105495163at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat Y5) X4))))) (= tptp.produc2937545259423399429at_nat (@ (@ tptp.comp_P4974406650942564362at_nat tptp.produc6011863565407846595at_nat) (@ tptp.produc7548845685434208379at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat Y5) X4))))) _let_197 (= tptp.product_snd_nat_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_fst_nat_nat) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))))) _let_196 (= tptp.produc1126150082675451753t_unit (@ (@ tptp.comp_P3239167524078694454t_unit tptp.produc5717040794327095847_ref_a) (@ tptp.produc2058451029528183389_ref_a (lambda ((X4 tptp.ref_a) (Y5 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc2564672488694626579_ref_a Y5) X4))))) (= tptp.product_snd_int_int (@ (@ tptp.comp_P5356232565778667509nt_int tptp.product_fst_int_int) (@ tptp.produc4245557441103728435nt_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_int Y5) X4))))) (forall ((S5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.nat tptp.nat)) (X2 tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite352855791390415404at_nat S5) F) (=> (@ (@ tptp.member8757157785044589968at_nat X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat tptp.nat)) (X2 tptp.product_prod_nat_nat)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite5150387867909132486at_nat S5) F) (=> (@ (@ tptp.member8440522571783428010at_nat X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))) (forall ((S5 tptp.set_o) (F (-> Bool tptp.nat tptp.nat)) (X2 Bool)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite2426395113773319005_o_nat S5) F) (=> (@ (@ tptp.member_o X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))) (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat tptp.nat)) (X2 tptp.nat)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite7982400111564556781at_nat S5) F) (=> (@ (@ tptp.member_nat X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))) (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.nat tptp.nat)) (X2 tptp.int)) (let ((_let_1 (@ F X2))) (=> (@ (@ tptp.finite8981753823465611337nt_nat S5) F) (=> (@ (@ tptp.member_int X2) S5) (= (@ (@ tptp.comp_nat_nat_nat _let_1) _let_1) _let_1))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (G (-> tptp.product_prod_nat_nat tptp.int))) (=> (= A4 B5) (= (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ tptp.bNF_Gr7275288873855648526at_nat A4) F))) (@ (@ tptp.bNF_Gr190934199572118623at_int A4) G)) (@ (@ tptp.relcom8911704206367525917at_int (@ tptp.conver6965824823119931701at_nat (@ (@ tptp.bNF_Gr7275288873855648526at_nat B5) F))) (@ (@ tptp.bNF_Gr190934199572118623at_int B5) G))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.code_integer))) (=> (= A4 B5) (= (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ tptp.bNF_Grp_int_int A4) F))) (@ (@ tptp.bNF_Gr6684649993275963353nteger A4) G)) (@ (@ tptp.relcom967497705283160040nteger (@ tptp.conversep_int_int (@ (@ tptp.bNF_Grp_int_int B5) F))) (@ (@ tptp.bNF_Gr6684649993275963353nteger B5) G))))) (= (@ (@ tptp.comp_P9134237804721252988t_unit tptp.produc6942380573175061695_ref_a) (@ (@ tptp.comp_r6154141770783548544t_unit (lambda ((X4 tptp.ref_a)) (@ (@ tptp.produc1340070678782110931_ref_a X4) X4))) tptp.produc473321116828791851t_unit)) tptp.produc473321116828791851t_unit) (= (@ (@ tptp.comp_P8237986404257982958t_unit tptp.produc1692618790031806469t_unit) (@ (@ tptp.comp_h5940001671827863714t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc8256076736985659095t_unit X4) X4))) tptp.produc1126150082675451753t_unit)) tptp.produc1126150082675451753t_unit) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat tptp.nat)) (M1 (-> Bool tptp.nat)) (M2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_nat_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_nat_nat_nat F) M)) G) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o (@ (@ tptp.comp_nat_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.int Bool)) (Abs (-> Bool tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d8403010662121346494_int_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat F) M)) G) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_o_nat_int (@ (@ tptp.comp_o_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_int_int (@ (@ tptp.comp_o_int_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat F) M)) G) (@ (@ tptp.comp_num_o_int (@ (@ tptp.comp_o_o_num (@ (@ tptp.comp_o_o_o F) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) M)) G) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o F) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) G)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool Bool)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat F) M)) G) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat F) M)) G) (@ (@ tptp.comp_o_num_int (@ (@ tptp.comp_o_num_o (@ (@ tptp.comp_o_num_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat F) M)) G) (@ (@ tptp.comp_num_num_int (@ (@ tptp.comp_o_num_num (@ (@ tptp.comp_o_num_o F) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat F) M)) G) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat (@ (@ tptp.comp_o_num_o F) M1)) Rep)) (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat Abs) M2)) G)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat F) M)) G) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o (@ (@ tptp.comp_o_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool)) (F (-> Bool tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (= M (@ (@ tptp.comp_o_o_nat M1) M2)) (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat F) M)) G) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o F) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) G)))))) (forall ((Rep (-> tptp.int Bool)) (Abs (-> Bool tptp.int)) (Rep2 (-> tptp.nat Bool)) (Abs2 (-> Bool tptp.nat)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d8403010662121346494_int_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat Abs2) M)) Rep3) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_o_nat_int (@ (@ tptp.comp_o_nat_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_int_int (@ (@ tptp.comp_o_int_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (Rep2 (-> Bool Bool)) (Abs2 (-> Bool Bool)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_definition_o_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat Abs2) M)) Rep3) (@ (@ tptp.comp_num_o_int (@ (@ tptp.comp_o_o_num (@ (@ tptp.comp_o_o_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> Bool Bool)) (Abs2 (-> Bool Bool)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_definition_o_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs2) M)) Rep3) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (Rep2 (-> Bool Bool)) (Abs2 (-> Bool Bool)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_definition_o_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs2) M)) Rep3) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_o_o_o (@ (@ tptp.comp_o_o_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (Rep2 (-> tptp.num Bool)) (Abs2 (-> Bool tptp.num)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs2) M)) Rep3) (@ (@ tptp.comp_o_num_int (@ (@ tptp.comp_o_num_o (@ (@ tptp.comp_o_num_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_o_int (@ (@ tptp.comp_o_o_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> tptp.num Bool)) (Abs (-> Bool tptp.num)) (Rep2 (-> tptp.num Bool)) (Abs2 (-> Bool tptp.num)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs2) M)) Rep3) (@ (@ tptp.comp_num_num_int (@ (@ tptp.comp_o_num_num (@ (@ tptp.comp_o_num_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> tptp.num Bool)) (Abs2 (-> Bool tptp.num)) (Rep3 (-> tptp.int tptp.nat)) (Abs3 (-> tptp.nat tptp.int)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9070036042389994064_num_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat Abs2) M)) Rep3) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_o_num_nat (@ (@ tptp.comp_o_num_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_nat_int (@ (@ tptp.comp_o_nat_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> Bool Bool)) (Abs (-> Bool Bool)) (Rep2 (-> tptp.nat Bool)) (Abs2 (-> Bool tptp.nat)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_definition_o_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs2) M)) Rep3) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o (@ (@ tptp.comp_o_nat_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> tptp.nat Bool)) (Abs2 (-> Bool tptp.nat)) (Rep3 (-> tptp.nat tptp.nat)) (Abs3 (-> tptp.nat tptp.nat)) (M (-> tptp.nat Bool)) (M1 (-> Bool Bool)) (M2 (-> tptp.nat Bool))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep2) Abs2) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep3) Abs3) tptp.top_top_set_nat) (=> (= (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs2) M)) Rep3) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o Abs2) M1)) Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_o_nat_nat Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_o_nat M1) M2) M)))))) (forall ((Rep (-> tptp.nat Bool)) (Abs (-> Bool tptp.nat)) (Rep2 (-> Bool tptp.char)) (Abs2 (-> tptp.char Bool)) (Rep3 (-> tptp.nat Bool)) (Abs3 (-> Bool tptp.nat)) (M (-> Bool tptp.char)) (M1 (-> Bool tptp.char)) (M2 (-> Bool Bool))) (let ((_let_1 (@ tptp.comp_char_o_o Abs2))) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep) Abs) tptp.top_top_set_o) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep2) Abs2) tptp.top_top_set_char) (=> (@ (@ (@ tptp.type_d1000680970699258650_nat_o Rep3) Abs3) tptp.top_top_set_o) (=> (= (@ (@ tptp.comp_o_o_nat (@ _let_1 M)) Rep3) (@ (@ tptp.comp_nat_o_nat (@ (@ tptp.comp_o_o_nat (@ _let_1 M1)) Rep)) (@ (@ tptp.comp_o_nat_nat (@ (@ tptp.comp_o_nat_o Abs) M2)) Rep3))) (= (@ (@ tptp.comp_o_char_o M1) M2) M))))))) (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re3734335887435638179at_nat (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) (@ (@ tptp.relcom8141925468094106422ar_nat (@ tptp.conver5210974729819302706ar_nat (@ (@ tptp.bNF_Gr1779741795384719769ar_nat (@ tptp.collec1683818095804863890at_nat (lambda ((X4 (-> tptp.char tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat X4) tptp.top_top_set_char)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1491501995297412481t_char tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr1779741795384719769ar_nat (@ tptp.collec1683818095804863890at_nat (lambda ((X4 (-> tptp.char tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8382823969816519465at_nat X4) tptp.top_top_set_char)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1491501995297412481t_char tptp.product_snd_nat_nat))))) (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re6557955094579809201at_nat (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) (@ (@ tptp.relcom7707146719550107439at_nat (@ tptp.conver7478146827351332082at_nat (@ (@ tptp.bNF_Gr7368557922277781849at_nat (@ tptp.collec2824469931397938891at_nat (lambda ((X4 (-> tptp.rat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat X4) tptp.top_top_set_rat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1320480151300532104at_rat tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr7368557922277781849at_nat (@ tptp.collec2824469931397938891at_nat (lambda ((X4 (-> tptp.rat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_9175953278516507234at_nat X4) tptp.top_top_set_rat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1320480151300532104at_rat tptp.product_snd_nat_nat))))) (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) (@ (@ tptp.relcom8186637903969514807at_nat (@ tptp.conver3498139987538047730at_nat (@ (@ tptp.bNF_Gr3388551082464497497at_nat (@ tptp.collec8718012497556192979at_nat (lambda ((X4 (-> tptp.nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat X4) tptp.top_top_set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1955610211387027840at_nat tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr3388551082464497497at_nat (@ tptp.collec8718012497556192979at_nat (lambda ((X4 (-> tptp.nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat X4) tptp.top_top_set_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1955610211387027840at_nat tptp.product_snd_nat_nat))))) (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re3715656647883201625at_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.relcom2406850561174050523nt_nat (@ tptp.conver1572571282669976050nt_nat (@ (@ tptp.bNF_Gr1462982377596425817nt_nat (@ tptp.collec2532482545165550967at_nat (lambda ((X4 (-> tptp.int tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat X4) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1953119740877977564at_int tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr1462982377596425817nt_nat (@ tptp.collec2532482545165550967at_nat (lambda ((X4 (-> tptp.int tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_8883965892284119310at_nat X4) tptp.top_top_set_int)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P1953119740877977564at_int tptp.product_snd_nat_nat))))) (forall ((R3 (-> tptp.num tptp.num Bool))) (= (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.relcom1697847500783689711nt_num (@ tptp.conver5699786650113435344nt_num (@ (@ tptp.bNF_Gr5590197745039885111nt_num (@ tptp.collec266097228571071243um_num (lambda ((X4 (-> tptp.int tptp.product_prod_num_num))) (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num X4) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o R3)))))) (@ tptp.comp_P4305060815297604026um_int tptp.product_fst_num_num)))) (@ (@ tptp.bNF_Gr5590197745039885111nt_num (@ tptp.collec266097228571071243um_num (lambda ((X4 (-> tptp.int tptp.product_prod_num_num))) (@ (@ tptp.ord_le880128212290418581um_num (@ (@ tptp.image_7722540232540426402um_num X4) tptp.top_top_set_int)) (@ tptp.collec2230928802738392704um_num (@ tptp.produc5703948589228662326_num_o R3)))))) (@ tptp.comp_P4305060815297604026um_int tptp.product_snd_num_num))))) (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re4731199128827642459nt_int (lambda ((Y2 tptp.char) (Z tptp.char)) (= Y2 Z))) R3) (@ (@ tptp.relcom4417706183330134766ar_int (@ tptp.conver1155128050257070662ar_int (@ (@ tptp.bNF_Gr6947267152677263533ar_int (@ tptp.collec1380656525566158922nt_int (lambda ((X4 (-> tptp.char tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int X4) tptp.top_top_set_char)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P4161745170962941589t_char tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr6947267152677263533ar_int (@ tptp.collec1380656525566158922nt_int (lambda ((X4 (-> tptp.char tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5204326662208377313nt_int X4) tptp.top_top_set_char)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P4161745170962941589t_char tptp.product_snd_int_int))))) (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re7554818335971813481nt_int (lambda ((Y2 tptp.rat) (Z tptp.rat)) (= Y2 Z))) R3) (@ (@ tptp.relcom2810802720173317863at_int (@ tptp.conver6967689361887734790at_int (@ (@ tptp.bNF_Gr6858100456814184557at_int (@ tptp.collec2521308361159233923nt_int (lambda ((X4 (-> tptp.rat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int X4) tptp.top_top_set_rat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6018825582104210588nt_rat tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr6858100456814184557at_int (@ tptp.collec2521308361159233923nt_int (lambda ((X4 (-> tptp.rat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5997455970908365082nt_int X4) tptp.top_top_set_rat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6018825582104210588nt_rat tptp.product_snd_int_int))))) (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re6650684261131312217nt_int (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) R3) (@ (@ tptp.relcom3290293904592725231at_int (@ tptp.conver2987682522074450438at_int (@ (@ tptp.bNF_Gr2878093617000900205at_int (@ tptp.collec8414850927317488011nt_int (lambda ((X4 (-> tptp.nat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int X4) tptp.top_top_set_nat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6653955642190706324nt_nat tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr2878093617000900205at_int (@ tptp.collec8414850927317488011nt_int (lambda ((X4 (-> tptp.nat tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_2667626500211843362nt_int X4) tptp.top_top_set_nat)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6653955642190706324nt_nat tptp.product_snd_int_int))))) (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.bNF_re4712519889275205905nt_int (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.relcom6733878598652036755nt_int (@ tptp.conver1062113817206378758nt_int (@ (@ tptp.bNF_Gr952524912132828525nt_int (@ tptp.collec2229320974926845999nt_int (lambda ((X4 (-> tptp.int tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int X4) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6651465171681656048nt_int tptp.product_fst_int_int)))) (@ (@ tptp.bNF_Gr952524912132828525nt_int (@ tptp.collec2229320974926845999nt_int (lambda ((X4 (-> tptp.int tptp.product_prod_int_int))) (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.image_5705468584675977158nt_int X4) tptp.top_top_set_int)) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3)))))) (@ tptp.comp_P6651465171681656048nt_int tptp.product_snd_int_int))))) (forall ((R3 (-> tptp.nat tptp.nat Bool))) (= (@ (@ tptp.bNF_re4629543205785817921at_nat (lambda ((Y2 tptp.list_nat) (Z tptp.list_nat)) (= Y2 Z))) R3) (@ (@ tptp.relcom5920149085449455271at_nat (@ tptp.conver6066198818478722162at_nat (@ (@ tptp.bNF_Gr1532745923208276441at_nat (@ tptp.collec3092956710985254339at_nat (lambda ((X4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat X4) tptp.top_top_set_list_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P5292260908303971472st_nat tptp.product_fst_nat_nat)))) (@ (@ tptp.bNF_Gr1532745923208276441at_nat (@ tptp.collec3092956710985254339at_nat (lambda ((X4 (-> tptp.list_nat tptp.product_prod_nat_nat))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_2795870212791037530at_nat X4) tptp.top_top_set_list_nat)) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3)))))) (@ tptp.comp_P5292260908303971472st_nat tptp.product_snd_nat_nat))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_4408659257933336347et_rat _let_1) (@ tptp.pow_nat A4)) (@ tptp.pow_rat B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_7916887816326733075et_nat _let_1) (@ tptp.pow_nat A4)) (@ tptp.pow_nat B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_3739036796817536367et_int _let_1) (@ tptp.pow_nat A4)) (@ tptp.pow_int B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_4702325430467532143et_nat _let_1) (@ tptp.pow_int A4)) (@ tptp.pow_nat B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (= (@ _let_1 A4) B5) (= (@ (@ tptp.image_524474410958335435et_int _let_1) (@ tptp.pow_int A4)) (@ tptp.pow_int B5))))) (= (@ (@ tptp.comp_P8237986404257982958t_unit tptp.produc2762368996035445955t_unit) (@ (@ tptp.comp_h5940001671827863714t_unit (lambda ((X4 tptp.heap_e7401611519738050253t_unit)) (@ (@ tptp.produc8256076736985659095t_unit X4) X4))) tptp.produc1126150082675451753t_unit)) tptp.produc1126150082675451753t_unit) (= (@ (@ tptp.comp_P9134237804721252988t_unit tptp.produc8185483580310833921_ref_a) (@ (@ tptp.comp_r6154141770783548544t_unit (lambda ((X4 tptp.ref_a)) (@ (@ tptp.produc1340070678782110931_ref_a X4) X4))) tptp.produc473321116828791851t_unit)) tptp.produc473321116828791851t_unit) (forall ((A4 tptp.set_Co726186806682698383nteger) (F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (= (@ (@ tptp.bNF_re1181178334029315097nteger (lambda ((Y2 tptp.code_integer) (Z tptp.code_integer)) (= Y2 Z))) (@ (@ tptp.bNF_Gr4092539093814444494nteger A4) F)) (@ (@ tptp.bNF_Gr1453458339979195462nteger (@ tptp.collec5651646645946169514nteger (lambda ((X4 (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (@ (@ tptp.ord_le348599935723844335nteger (@ (@ tptp.image_2177946750938214461nteger X4) tptp.top_to4645266643341252675nteger)) A4)))) (@ tptp.comp_C8797469213163452608nteger F)))) (forall ((A4 tptp.set_o) (F (-> Bool Bool))) (= (@ (@ tptp.bNF_re4705727531993890431at_o_o (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_o_o A4) F)) (@ (@ tptp.bNF_Grp_nat_o_nat_o (@ tptp.collect_nat_o (lambda ((X4 (-> tptp.nat Bool))) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.image_nat_o X4) tptp.top_top_set_nat)) A4)))) (@ tptp.comp_o_o_nat F)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.bNF_re5653821019739307937at_nat (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_nat_nat A4) F)) (@ (@ tptp.bNF_Gr3847987472475283150at_nat (@ tptp.collect_nat_nat (lambda ((X4 (-> tptp.nat tptp.nat))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat X4) tptp.top_top_set_nat)) A4)))) (@ tptp.comp_nat_nat_nat F)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.num))) (= (@ (@ tptp.bNF_re272988434038980259at_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_nat_num A4) F)) (@ (@ tptp.bNF_Gr6763702254253555408nt_num (@ tptp.collect_int_nat (lambda ((X4 (-> tptp.int tptp.nat))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat X4) tptp.top_top_set_int)) A4)))) (@ tptp.comp_nat_num_int F)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (= (@ (@ tptp.bNF_re4715010359784256181nt_nat (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_int_nat A4) F)) (@ (@ tptp.bNF_Gr2243168462153404386nt_nat (@ tptp.collect_int_int (lambda ((X4 (-> tptp.int tptp.int))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int X4) tptp.top_top_set_int)) A4)))) (@ tptp.comp_int_nat_int F)))) (forall ((A4 tptp.set_num) (F (-> tptp.num tptp.num))) (= (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.bNF_Grp_num_num A4) F)) (@ (@ tptp.bNF_Gr318824752125099290nt_num (@ tptp.collect_int_num (lambda ((X4 (-> tptp.int tptp.num))) (@ (@ tptp.ord_less_eq_set_num (@ (@ tptp.image_int_num X4) tptp.top_top_set_int)) A4)))) (@ tptp.comp_num_num_int F)))) (forall ((R3 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.bNF_Gr193424670081168899at_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o R3))))) (= (@ (@ tptp.relcom8572034174491624592at_nat (@ tptp.conver4691796276509297820at_nat (@ _let_1 tptp.product_fst_nat_nat))) (@ _let_1 tptp.product_snd_nat_nat)) R3))) (forall ((R3 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (let ((_let_1 (@ tptp.collec3252306575900995386t_unit (@ tptp.produc4924168586796184916unit_o R3)))) (= (@ (@ tptp.relcom3136146828236442456t_unit (@ tptp.conver4368408235330554745_ref_a (@ (@ tptp.bNF_Gr5964920315653434322_ref_a _let_1) tptp.produc473321116828791851t_unit))) (@ (@ tptp.bNF_Gr5237703264515865432t_unit _let_1) tptp.produc1126150082675451753t_unit)) R3))) (forall ((R3 (-> tptp.int tptp.int Bool))) (let ((_let_1 (@ tptp.bNF_Gr2749509334501985047nt_int (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o R3))))) (= (@ (@ tptp.relcom3664783465810776136nt_int (@ tptp.conver7247880940930113968nt_int (@ _let_1 tptp.product_fst_int_int))) (@ _let_1 tptp.product_snd_int_int)) R3))) (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (S5 (-> tptp.char tptp.set_rat)) (M (-> Bool tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> Bool tptp.set_nat)) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.image_nat_rat F))) (let ((_let_2 (@ tptp.comp_char_set_rat_o S5))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ (@ tptp.comp_s8507027185284273247_rat_o _let_1) S6)) (= (@ (@ tptp.comp_o_set_rat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) M)) G)) (@ (@ tptp.comp_s8255929034757298889at_nat _let_1) (@ (@ tptp.comp_o_set_nat_nat S6) G)))))))) (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (S5 (-> tptp.char tptp.set_rat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c5738158305436223508at_nat S5) M) (@ (@ tptp.comp_s8255929034757298889at_nat _let_1) S6)) (= (@ (@ tptp.comp_num_set_rat_int (@ (@ tptp.comp_c2295490091592002142at_num S5) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) M)) G)) (@ (@ tptp.comp_s8253438564248248613at_int _let_1) (@ (@ tptp.comp_nat_set_nat_int S6) G))))))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_rat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_s8255929034757298889at_nat (@ tptp.image_nat_rat F)))) (let ((_let_2 (@ tptp.comp_c5738158305436223508at_nat S5))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_rat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_char_nat_nat Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_nat_set_nat_nat S6) G)))))))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_rat)) (M (-> tptp.int tptp.char)) (F (-> tptp.nat tptp.rat)) (S6 (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_s8253438564248248613at_int (@ tptp.image_nat_rat F)))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c5735667834927173232at_int S5) M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_rat_int (@ (@ tptp.comp_c5738158305436223508at_nat S5) Rep)) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_char_nat_int Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_int_set_nat_int S6) G))))))) (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (S5 (-> tptp.char tptp.set_nat)) (M (-> Bool tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> Bool tptp.set_nat)) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ tptp.comp_char_set_nat_o S5))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ (@ tptp.comp_s33089643564333159_nat_o _let_1) S6)) (= (@ (@ tptp.comp_o_set_nat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) M)) G)) (@ (@ tptp.comp_s3433241188411525313at_nat _let_1) (@ (@ tptp.comp_o_set_nat_nat S6) G)))))))) (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (S5 (-> tptp.char tptp.set_nat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c915470459090449932at_nat S5) M) (@ (@ tptp.comp_s3433241188411525313at_nat _let_1) S6)) (= (@ (@ tptp.comp_num_set_nat_int (@ (@ tptp.comp_c6696174282101004374at_num S5) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) M)) G)) (@ (@ tptp.comp_s3430750717902475037at_int _let_1) (@ (@ tptp.comp_nat_set_nat_int S6) G))))))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_nat)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.comp_s3433241188411525313at_nat (@ tptp.image_nat_nat F)))) (let ((_let_2 (@ tptp.comp_c915470459090449932at_nat S5))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_nat_nat (@ _let_2 Rep)) (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.comp_char_nat_nat Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_nat_set_nat_nat S6) G)))))))) (forall ((Rep (-> tptp.nat tptp.char)) (Abs (-> tptp.char tptp.nat)) (S5 (-> tptp.char tptp.set_nat)) (M (-> tptp.int tptp.char)) (F (-> tptp.nat tptp.nat)) (S6 (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.comp_s3430750717902475037at_int (@ tptp.image_nat_nat F)))) (=> (@ (@ (@ tptp.type_d5945782884131516111t_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c912979988581399656at_int S5) M) (@ _let_1 S6)) (= (@ (@ tptp.comp_nat_set_nat_int (@ (@ tptp.comp_c915470459090449932at_nat S5) Rep)) (@ (@ tptp.comp_int_nat_int (@ (@ tptp.comp_char_nat_int Abs) M)) G)) (@ _let_1 (@ (@ tptp.comp_int_set_nat_int S6) G))))))) (forall ((Rep (-> Bool tptp.char)) (Abs (-> tptp.char Bool)) (S5 (-> tptp.char tptp.set_int)) (M (-> Bool tptp.char)) (F (-> tptp.nat tptp.int)) (S6 (-> Bool tptp.set_nat)) (G (-> tptp.nat Bool))) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ tptp.comp_char_set_int_o S5))) (=> (@ (@ (@ tptp.type_d9076672964931703357o_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ _let_2 M) (@ (@ tptp.comp_s7011316712748663051_int_o _let_1) S6)) (= (@ (@ tptp.comp_o_set_int_nat (@ _let_2 Rep)) (@ (@ tptp.comp_o_o_nat (@ (@ tptp.comp_char_o_o Abs) M)) G)) (@ (@ tptp.comp_s5620162763104547101nt_nat _let_1) (@ (@ tptp.comp_o_set_nat_nat S6) G)))))))) (forall ((Rep (-> tptp.num tptp.char)) (Abs (-> tptp.char tptp.num)) (S5 (-> tptp.char tptp.set_int)) (M (-> tptp.nat tptp.char)) (F (-> tptp.nat tptp.int)) (S6 (-> tptp.nat tptp.set_nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ (@ tptp.type_d4396077731765706521m_char Rep) Abs) tptp.top_top_set_char) (=> (= (@ (@ tptp.comp_c3102392033783471720nt_nat S5) M) (@ (@ tptp.comp_s5620162763104547101nt_nat _let_1) S6)) (= (@ (@ tptp.comp_num_set_int_int (@ (@ tptp.comp_c8883095856794026162nt_num S5) Rep)) (@ (@ tptp.comp_nat_num_int (@ (@ tptp.comp_char_num_nat Abs) M)) G)) (@ (@ tptp.comp_s5617672292595496825nt_int _let_1) (@ (@ tptp.comp_nat_set_nat_int S6) G))))))) (forall ((Rep (-> tptp.nat tptp.rat)) (Abs (-> tptp.rat tptp.nat)) (A4 tptp.set_rat)) (=> (@ (@ (@ tptp.type_d5615363888691252950at_rat Rep) Abs) A4) (= (@ (@ tptp.image_nat_rat Rep) tptp.top_top_set_nat) A4))) (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_nat Rep) tptp.top_top_set_nat) A4))) (forall ((Rep (-> tptp.nat tptp.int)) (Abs (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d6248003478268698410at_int Rep) Abs) A4) (= (@ (@ tptp.image_nat_int Rep) tptp.top_top_set_nat) A4))) (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) A4) (= (@ (@ tptp.image_int_nat Rep) tptp.top_top_set_int) A4))) (forall ((Rep (-> tptp.int tptp.int)) (Abs (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d7247357190169752966nt_int Rep) Abs) A4) (= (@ (@ tptp.image_int_int Rep) tptp.top_top_set_int) A4))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) A4) (= (@ (@ tptp.image_Product_unit_o Rep) tptp.top_to1996260823553986621t_unit) A4))) (forall ((Rep (-> tptp.rat tptp.nat)) (Abs (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d5933939304842882774at_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_rat Abs) A4) tptp.top_top_set_rat))) (forall ((Rep (-> tptp.nat tptp.nat)) (Abs (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d6250493948777748686at_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_nat Abs) A4) tptp.top_top_set_nat))) (forall ((Rep (-> tptp.nat tptp.int)) (Abs (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d6248003478268698410at_int Rep) Abs) A4) (= (@ (@ tptp.image_int_nat Abs) A4) tptp.top_top_set_nat))) (forall ((Rep (-> tptp.int tptp.nat)) (Abs (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ (@ tptp.type_d7249847660678803242nt_nat Rep) Abs) A4) (= (@ (@ tptp.image_nat_int Abs) A4) tptp.top_top_set_int))) (forall ((Rep (-> tptp.int tptp.int)) (Abs (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ (@ tptp.type_d7247357190169752966nt_int Rep) Abs) A4) (= (@ (@ tptp.image_int_int Abs) A4) tptp.top_top_set_int))) (forall ((Rep (-> tptp.product_unit Bool)) (Abs (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ (@ (@ tptp.type_d6188575255521822967unit_o Rep) Abs) A4) (= (@ (@ tptp.image_o_Product_unit Abs) A4) tptp.top_to1996260823553986621t_unit))) _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 (forall ((C Bool) (F (-> tptp.nat Bool))) (= (@ (@ tptp.comp_o_o_nat (lambda ((X4 Bool)) C)) F) (lambda ((X4 tptp.nat)) C))) (forall ((C tptp.num) (F (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_nat_num_int (lambda ((X4 tptp.nat)) C)) F) (lambda ((X4 tptp.int)) C))) (forall ((C tptp.nat) (F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_nat_nat_nat (lambda ((X4 tptp.nat)) C)) F) (lambda ((X4 tptp.nat)) C))) (forall ((C tptp.nat) (F (-> tptp.int tptp.int))) (= (@ (@ tptp.comp_int_nat_int (lambda ((X4 tptp.int)) C)) F) (lambda ((X4 tptp.int)) C))) (forall ((C (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.comp_C8797469213163452608nteger (lambda ((X4 (-> tptp.code_integer tptp.code_integer)) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ C __flatten_var_0))) F) (lambda ((X4 tptp.code_integer) (__flatten_var_0 tptp.produc8923325533196201883nteger)) (@ C __flatten_var_0)))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_3755276878268593137at_nat (@ tptp.produc5347463441023893471at_nat (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_rat_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc140472662868866674at_nat (@ (@ tptp.image_nat_rat F) A4)) (lambda ((Uu tptp.rat)) (@ (@ tptp.image_int_nat G) B5))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_8800797895614172237at_int (@ tptp.produc1169612421514696763at_int (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_rat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc137982192359816398at_int (@ (@ tptp.image_nat_rat F) A4)) (lambda ((Uu tptp.rat)) (@ (@ tptp.image_int_int G) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.int tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_9117352539549038149at_int (@ tptp.produc1486167065449562675at_int (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_nat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc454536836294682310at_int (@ (@ tptp.image_nat_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_int_int G) B5))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.image_5071185234104513605nt_nat (@ tptp.produc6663371796859813939nt_nat (lambda ((X4 tptp.nat) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_nat_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_int_nat G) B5))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_3420722608207172081at_rat (@ tptp.produc877984105854340063at_rat (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_rat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc9045269283572012658at_rat (@ (@ tptp.image_int_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_nat_rat G) B5))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_2751100147091372101at_int (@ tptp.produc208361644738540083at_int (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int (@ (@ tptp.image_int_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_nat_int G) B5))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.image_1654017166447373545at_int (@ tptp.produc3246203729202673879at_int (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_nat_int (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int (@ (@ tptp.image_int_nat F) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_int_int G) B5))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_4420076320108226637nt_rat (@ tptp.produc1877337817755394619nt_rat (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_int_rat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc821250958618291406nt_rat (@ (@ tptp.image_int_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_nat_rat G) B5))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.image_7928304878501623365nt_nat (@ tptp.produc5385566376148791347nt_nat (lambda ((X4 tptp.int) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_int_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_nat_nat G) B5))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.image_6831221897857624809nt_nat (@ tptp.produc8423408460612925143nt_nat (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G Y5))))) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_int_int F) A4)) (lambda ((Uu tptp.int)) (@ (@ tptp.image_int_nat G) B5))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat)) (= (@ (@ tptp.ord_le5989899228261996553at_rat (@ (@ tptp.bNF_Gr_nat_rat A4) F)) (@ (@ tptp.produc9045269283572012658at_rat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_int)) (= (@ (@ tptp.ord_le656430383953171549at_int (@ (@ tptp.bNF_Gr_nat_int A4) F)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_le5333435103577920093nt_nat (@ (@ tptp.bNF_Gr_int_nat A4) F)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (= (@ (@ tptp.ord_le2843351958646193337nt_int (@ (@ tptp.bNF_Gr_int_int A4) F)) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.bNF_Gr_nat_nat A4) F)) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat) A4)) (lambda ((Uu tptp.nat)) (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) A4))))) (forall ((A4 tptp.set_Pr1133966238863718811t_unit)) (@ (@ tptp.ord_le5525191956872776187t_unit A4) (@ (@ tptp.produc3946373962484743846t_unit (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) A4)) (lambda ((Uu tptp.ref_a)) (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) A4))))) _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 (forall ((P2 (-> tptp.ref_a tptp.heap_e7401611519738050253t_unit Bool))) (= (@ tptp.the_Pr5012129486825234846t_unit (@ tptp.produc4924168586796184916unit_o P2)) (@ tptp.the_Pr5012129486825234846t_unit (lambda ((Xy tptp.produc7812382424243267045t_unit)) (@ (@ P2 (@ tptp.produc473321116828791851t_unit Xy)) (@ tptp.produc1126150082675451753t_unit Xy)))))) (forall ((P2 (-> tptp.int tptp.int Bool))) (= (@ tptp.the_Pr4378521158711661632nt_int (@ tptp.produc4947309494688390418_int_o P2)) (@ tptp.the_Pr4378521158711661632nt_int (lambda ((Xy tptp.product_prod_int_int)) (@ (@ P2 (@ tptp.product_fst_int_int Xy)) (@ tptp.product_snd_int_int Xy)))))) (forall ((T3 (-> tptp.int tptp.product_prod_nat_nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.left_t8261381459436684205at_nat T3) (=> (@ (@ tptp.ord_le5604493270027003598_nat_o (lambda ((Y2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (= Y2 Z))) R3) (@ (@ tptp.ord_le6741204236512500942_int_o (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.relcom1106208330880909712at_int T3) (@ (@ tptp.relcom8911704206367525917at_int R3) (@ tptp.conver1866313717161370910at_nat T3))))))) (forall ((T3 (-> tptp.code_integer tptp.int Bool)) (R3 (-> tptp.int tptp.int Bool))) (=> (@ tptp.left_t1735413524555719857er_int T3) (=> (@ (@ tptp.ord_le6741204236512500942_int_o (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) R3) (@ (@ tptp.ord_le3602516367967493612eger_o (lambda ((Y2 tptp.code_integer) (Z tptp.code_integer)) (= Y2 Z))) (@ (@ tptp.relcom692387321444912665nteger T3) (@ (@ tptp.relcom967497705283160040nteger R3) (@ tptp.conver1462408618118490240er_int T3))))))) (forall ((T3 (-> tptp.int tptp.product_prod_nat_nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.left_u1182257597767569412at_nat T3) (=> (@ (@ tptp.ord_le5604493270027003598_nat_o R3) (lambda ((Y2 tptp.product_prod_nat_nat) (Z tptp.product_prod_nat_nat)) (= Y2 Z))) (@ (@ tptp.ord_le6741204236512500942_int_o (@ (@ tptp.relcom1106208330880909712at_int T3) (@ (@ tptp.relcom8911704206367525917at_int R3) (@ tptp.conver1866313717161370910at_nat T3)))) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z)))))) (forall ((T3 (-> tptp.code_integer tptp.int Bool)) (R3 (-> tptp.int tptp.int Bool))) (=> (@ tptp.left_u6156896403773009178er_int T3) (=> (@ (@ tptp.ord_le6741204236512500942_int_o R3) (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (@ (@ tptp.ord_le3602516367967493612eger_o (@ (@ tptp.relcom692387321444912665nteger T3) (@ (@ tptp.relcom967497705283160040nteger R3) (@ tptp.conver1462408618118490240er_int T3)))) (lambda ((Y2 tptp.code_integer) (Z tptp.code_integer)) (= Y2 Z)))))) (forall ((A Bool) (B Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (= (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.product_Sigma_o_o A4) B5)) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_o B) (@ B5 A))))) (forall ((A Bool) (B tptp.nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (= (@ (@ tptp.member2802428098988154798_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_nat B) (@ B5 A))))) (forall ((A Bool) (B tptp.int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int))) (= (@ (@ tptp.member7847949116333733898_o_int (@ (@ tptp.product_Pair_o_int A) B)) (@ (@ tptp.product_Sigma_o_int A4) B5)) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_int B) (@ B5 A))))) (forall ((A tptp.nat) (B Bool) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (= (@ (@ tptp.member6310962623043647828_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_o B) (@ B5 A))))) (forall ((A tptp.nat) (B tptp.int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int))) (= (@ (@ tptp.member4262671552274231302at_int (@ (@ tptp.product_Pair_nat_int A) B)) (@ (@ tptp.produc454536836294682310at_int A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_int B) (@ B5 A))))) (forall ((A tptp.int) (B Bool) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (= (@ (@ tptp.member4489920277610959864_int_o (@ (@ tptp.product_Pair_int_o A) B)) (@ (@ tptp.product_Sigma_int_o A4) B5)) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_o B) (@ B5 A))))) (forall ((A tptp.int) (B tptp.nat) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (= (@ (@ tptp.member216504246829706758nt_nat (@ (@ tptp.product_Pair_int_nat A) B)) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_nat B) (@ B5 A))))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (= (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_num B) (@ B5 A))))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_int B) (@ B5 A))))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_nat B) (@ B5 A))))) (forall ((A Bool) (A4 tptp.set_o) (B Bool) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member_o A) A4) (=> (@ (@ tptp.member_o B) (@ B5 A)) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.product_Sigma_o_o A4) B5))))) (forall ((A Bool) (A4 tptp.set_o) (B tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o A) A4) (=> (@ (@ tptp.member_nat B) (@ B5 A)) (@ (@ tptp.member2802428098988154798_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.product_Sigma_o_nat A4) B5))))) (forall ((A Bool) (A4 tptp.set_o) (B tptp.int) (B5 (-> Bool tptp.set_int))) (=> (@ (@ tptp.member_o A) A4) (=> (@ (@ tptp.member_int B) (@ B5 A)) (@ (@ tptp.member7847949116333733898_o_int (@ (@ tptp.product_Pair_o_int A) B)) (@ (@ tptp.product_Sigma_o_int A4) B5))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_o B) (@ B5 A)) (@ (@ tptp.member6310962623043647828_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.product_Sigma_nat_o A4) B5))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.int) (B5 (-> tptp.nat tptp.set_int))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_int B) (@ B5 A)) (@ (@ tptp.member4262671552274231302at_int (@ (@ tptp.product_Pair_nat_int A) B)) (@ (@ tptp.produc454536836294682310at_int A4) B5))))) (forall ((A tptp.int) (A4 tptp.set_int) (B Bool) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member_int A) A4) (=> (@ (@ tptp.member_o B) (@ B5 A)) (@ (@ tptp.member4489920277610959864_int_o (@ (@ tptp.product_Pair_int_o A) B)) (@ (@ tptp.product_Sigma_int_o A4) B5))))) (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int A) A4) (=> (@ (@ tptp.member_nat B) (@ B5 A)) (@ (@ tptp.member216504246829706758nt_nat (@ (@ tptp.product_Pair_int_nat A) B)) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.num) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_num B) (@ B5 A)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5))))) (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member_int A) A4) (=> (@ (@ tptp.member_int B) (@ B5 A)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ (@ tptp.member_nat B) (@ B5 A)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5))))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.nat))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.inv_image_nat_nat R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (R tptp.set_Pr958786334691620121nt_int) (F (-> tptp.nat tptp.int))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.inv_image_int_nat R) F)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.int) (Y3 tptp.int) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.int tptp.nat))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.inv_image_nat_int R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.int) (Y3 tptp.int) (R tptp.set_Pr958786334691620121nt_int) (F (-> tptp.int tptp.int))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.inv_image_int_int R) F)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.nat))) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.inv_im6750873321330482877at_nat R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr958786334691620121nt_int) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.int))) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.inv_im8510909985083594081at_nat R) F)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (R tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.inv_im4437241714082187487at_nat R) F)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.int) (Y3 tptp.int) (R tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.inv_im4434751243573137211at_int R) F)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.inv_im7023619800666061458at_nat R) F)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ F X2)) (@ F Y3))) R))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.set_Pr4329608150637261639at_nat tptp.nat))) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.inv_im2354225701593503139at_nat R) F)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat (@ F X2)) (@ F Y3))) R))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o (lambda ((A5 tptp.product_prod_nat_nat) (B4 tptp.product_prod_nat_nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc2761391749766926216at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ tptp.collec3392354462482085612at_nat Q2))))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.nat Bool))) (= (@ tptp.collec7029190964493513045at_nat (@ tptp.produc8758269395934548017_nat_o (lambda ((A5 tptp.product_prod_nat_nat) (B4 tptp.nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc7672662199629908489at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ tptp.collect_nat Q2))))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.collec6785001409445536906nt_int (@ tptp.produc5031841752791441652_int_o (lambda ((A5 tptp.product_prod_nat_nat) (B4 tptp.product_prod_int_int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc8806266479013559872nt_int (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ tptp.collec213857154873943460nt_int Q2))))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec5903703980526211963at_nat (@ tptp.produc5864757623865647827_nat_o (lambda ((A5 tptp.nat) (B4 tptp.product_prod_nat_nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc1809337555817847783at_nat (@ tptp.collect_nat P2)) (lambda ((Uu tptp.nat)) (@ tptp.collec3392354462482085612at_nat Q2))))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.collec5600542410287506995nt_int (@ tptp.produc4306188689235752475_int_o (lambda ((A5 tptp.nat) (B4 tptp.product_prod_int_int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc7854212285064481439nt_int (@ tptp.collect_nat P2)) (lambda ((Uu tptp.nat)) (@ tptp.collec213857154873943460nt_int Q2))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7751116662793354522at_nat (@ tptp.produc3235059054576640100_nat_o (lambda ((A5 tptp.product_prod_int_int) (B4 tptp.product_prod_nat_nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc3424345432876038864at_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((Uu tptp.product_prod_int_int)) (@ tptp.collec3392354462482085612at_nat Q2))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.nat Bool))) (= (@ tptp.collec364394062568603661nt_nat (@ tptp.produc5441891513209881465_nat_o (lambda ((A5 tptp.product_prod_int_int) (B4 tptp.nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc1007865297704999105nt_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((Uu tptp.product_prod_int_int)) (@ tptp.collect_nat Q2))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int Bool))) (= (@ tptp.collec7447955092554649554nt_int (@ tptp.produc1676490119946744748_int_o (lambda ((A5 tptp.product_prod_int_int) (B4 tptp.product_prod_int_int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc245848125267896712nt_int (@ tptp.collec213857154873943460nt_int P2)) (lambda ((Uu tptp.product_prod_int_int)) (@ tptp.collec213857154873943460nt_int Q2))))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat Bool))) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((A5 tptp.nat) (B4 tptp.nat)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat P2)) (lambda ((Uu tptp.nat)) (@ tptp.collect_nat Q2))))) (forall ((P2 (-> tptp.int Bool)) (Q2 (-> tptp.int Bool))) (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((A5 tptp.int) (B4 tptp.int)) (and (@ P2 A5) (@ Q2 B4))))) (@ (@ tptp.produc1453890548195736866nt_int (@ tptp.collect_int P2)) (lambda ((Uu tptp.int)) (@ tptp.collect_int Q2))))) _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.the_Pr4877703158196064750at_nat (@ tptp.produc9020218426428501292_nat_o (lambda ((X7 tptp.set_Pr4329608150637261639at_nat) (Y6 tptp.set_Pr4329608150637261639at_nat)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.produc9060074326276436823at_nat X2) Y3))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.the_Pr4604535484834969198at_nat (@ tptp.produc410239310623530412_nat_o (lambda ((X7 tptp.set_Pr1261947904930325089at_nat) (Y6 tptp.set_Pr1261947904930325089at_nat)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.produc2922128104949294807at_nat X2) Y3))) (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.the_Pr8265262403268641490at_num (@ tptp.produc4927758841916487424_num_o (lambda ((X7 tptp.nat) (Y6 tptp.num)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.product_Pair_nat_num X2) Y3))) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.the_Pr7557018466319803784at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X7 tptp.nat) (Y6 tptp.nat)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.product_Pair_nat_nat X2) Y3))) (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.the_Pr4378521158711661632nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X7 tptp.int) (Y6 tptp.int)) (and (= X2 X7) (= Y3 Y6))))) (@ (@ tptp.product_Pair_int_int X2) Y3))) (forall ((X2 tptp.nat) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.member_nat X2) C3) (= (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))) (= A4 B5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ (@ tptp.produc457027306803732586at_nat A4) C3) (@ (@ tptp.produc457027306803732586at_nat B5) D))))) (forall ((A Bool) (B Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.product_Sigma_o_o A4) B5)) (not (=> (@ (@ tptp.member_o A) A4) (not (@ (@ tptp.member_o B) (@ B5 A))))))) (forall ((A Bool) (B tptp.nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member2802428098988154798_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (not (=> (@ (@ tptp.member_o A) A4) (not (@ (@ tptp.member_nat B) (@ B5 A))))))) (forall ((A Bool) (B tptp.int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int))) (=> (@ (@ tptp.member7847949116333733898_o_int (@ (@ tptp.product_Pair_o_int A) B)) (@ (@ tptp.product_Sigma_o_int A4) B5)) (not (=> (@ (@ tptp.member_o A) A4) (not (@ (@ tptp.member_int B) (@ B5 A))))))) (forall ((A tptp.nat) (B Bool) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member6310962623043647828_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_o B) (@ B5 A))))))) (forall ((A tptp.nat) (B tptp.int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int))) (=> (@ (@ tptp.member4262671552274231302at_int (@ (@ tptp.product_Pair_nat_int A) B)) (@ (@ tptp.produc454536836294682310at_int A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_int B) (@ B5 A))))))) (forall ((A tptp.int) (B Bool) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member4489920277610959864_int_o (@ (@ tptp.product_Pair_int_o A) B)) (@ (@ tptp.product_Sigma_int_o A4) B5)) (not (=> (@ (@ tptp.member_int A) A4) (not (@ (@ tptp.member_o B) (@ B5 A))))))) (forall ((A tptp.int) (B tptp.nat) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member216504246829706758nt_nat (@ (@ tptp.product_Pair_int_nat A) B)) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (not (=> (@ (@ tptp.member_int A) A4) (not (@ (@ tptp.member_nat B) (@ B5 A))))))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_num B) (@ B5 A))))))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (not (=> (@ (@ tptp.member_int A) A4) (not (@ (@ tptp.member_int B) (@ B5 A))))))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (not (=> (@ (@ tptp.member_nat A) A4) (not (@ (@ tptp.member_nat B) (@ B5 A))))))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (B5 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ tptp.produc6258361011560675592at_nat A4) B5)) (@ (@ tptp.member6273874620674182256at_nat B) (@ B5 A)))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ tptp.produc7726050920695093128at_nat A4) B5)) (@ (@ tptp.member2643936169264416010at_nat B) (@ B5 A)))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (@ (@ tptp.member_num B) (@ B5 A)))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (@ (@ tptp.member_int B) (@ B5 A)))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ (@ tptp.member_nat B) (@ B5 A)))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se5479201105039950375at_nat) (B5 (-> tptp.set_Pr4329608150637261639at_nat tptp.set_se5479201105039950375at_nat))) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) (@ (@ tptp.produc6258361011560675592at_nat A4) B5)) (@ (@ tptp.member6273874620674182256at_nat A) A4))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_se7855581050983116737at_nat) (B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) (@ (@ tptp.produc7726050920695093128at_nat A4) B5)) (@ (@ tptp.member2643936169264416010at_nat A) A4))) (forall ((A tptp.nat) (B tptp.num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (@ (@ tptp.member_nat A) A4))) (forall ((A tptp.int) (B tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (@ (@ tptp.member_int A) A4))) (forall ((A tptp.nat) (B tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ (@ tptp.member_nat A) A4))) (forall ((C tptp.product_prod_o_o) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member7466972457876170832od_o_o C) (@ (@ tptp.product_Sigma_o_o A4) B5)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_o_o X) Y)))))))))) (forall ((C tptp.product_prod_o_nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member2802428098988154798_o_nat C) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_o_nat X) Y)))))))))) (forall ((C tptp.product_prod_o_int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int))) (=> (@ (@ tptp.member7847949116333733898_o_int C) (@ (@ tptp.product_Sigma_o_int A4) B5)) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_o_int X) Y)))))))))) (forall ((C tptp.product_prod_nat_o) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member6310962623043647828_nat_o C) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_o X) Y)))))))))) (forall ((C tptp.product_prod_nat_int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int))) (=> (@ (@ tptp.member4262671552274231302at_int C) (@ (@ tptp.produc454536836294682310at_int A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_int X) Y)))))))))) (forall ((C tptp.product_prod_int_o) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member4489920277610959864_int_o C) (@ (@ tptp.product_Sigma_int_o A4) B5)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_int_o X) Y)))))))))) (forall ((C tptp.product_prod_int_nat) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member216504246829706758nt_nat C) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_int_nat X) Y)))))))))) (forall ((C tptp.product_prod_nat_num) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_num))) (=> (@ (@ tptp.member9148766508732265716at_num C) (@ (@ tptp.produc6237731129814287028at_num A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y tptp.num)) (=> (@ (@ tptp.member_num Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_num X) Y)))))))))) (forall ((C tptp.product_prod_int_int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int))) (=> (@ (@ tptp.member5262025264175285858nt_int C) (@ (@ tptp.produc1453890548195736866nt_int A4) B5)) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_int_int X) Y)))))))))) (forall ((C tptp.product_prod_nat_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat C) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ B5 X)) (not (= C (@ (@ tptp.product_Pair_nat_nat X) Y)))))))))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7088162979684241874at_nat (@ tptp.produc6590410687421337004_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc2761391749766926216at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.collec3392354462482085612at_nat (@ Q2 X4)))))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.nat Bool))) (= (@ tptp.collec7029190964493513045at_nat (@ tptp.produc8758269395934548017_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc7672662199629908489at_nat (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.collect_nat (@ Q2 X4)))))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (Q2 (-> tptp.product_prod_nat_nat tptp.product_prod_int_int Bool))) (= (@ tptp.collec6785001409445536906nt_int (@ tptp.produc5031841752791441652_int_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_int_int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc8806266479013559872nt_int (@ tptp.collec3392354462482085612at_nat P2)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ tptp.collec213857154873943460nt_int (@ Q2 X4)))))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec5903703980526211963at_nat (@ tptp.produc5864757623865647827_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.product_prod_nat_nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc1809337555817847783at_nat (@ tptp.collect_nat P2)) (lambda ((X4 tptp.nat)) (@ tptp.collec3392354462482085612at_nat (@ Q2 X4)))))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat tptp.product_prod_int_int Bool))) (= (@ tptp.collec5600542410287506995nt_int (@ tptp.produc4306188689235752475_int_o (lambda ((X4 tptp.nat) (Y5 tptp.product_prod_int_int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc7854212285064481439nt_int (@ tptp.collect_nat P2)) (lambda ((X4 tptp.nat)) (@ tptp.collec213857154873943460nt_int (@ Q2 X4)))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int tptp.product_prod_nat_nat Bool))) (= (@ tptp.collec7751116662793354522at_nat (@ tptp.produc3235059054576640100_nat_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.product_prod_nat_nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc3424345432876038864at_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.collec3392354462482085612at_nat (@ Q2 X4)))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int tptp.nat Bool))) (= (@ tptp.collec364394062568603661nt_nat (@ tptp.produc5441891513209881465_nat_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc1007865297704999105nt_nat (@ tptp.collec213857154873943460nt_int P2)) (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.collect_nat (@ Q2 X4)))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (Q2 (-> tptp.product_prod_int_int tptp.product_prod_int_int Bool))) (= (@ tptp.collec7447955092554649554nt_int (@ tptp.produc1676490119946744748_int_o (lambda ((X4 tptp.product_prod_int_int) (Y5 tptp.product_prod_int_int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc245848125267896712nt_int (@ tptp.collec213857154873943460nt_int P2)) (lambda ((X4 tptp.product_prod_int_int)) (@ tptp.collec213857154873943460nt_int (@ Q2 X4)))))) (forall ((P2 (-> tptp.nat Bool)) (Q2 (-> tptp.nat tptp.nat Bool))) (= (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat P2)) (lambda ((X4 tptp.nat)) (@ tptp.collect_nat (@ Q2 X4)))))) (forall ((P2 (-> tptp.int Bool)) (Q2 (-> tptp.int tptp.int Bool))) (= (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (and (@ P2 X4) (@ (@ Q2 X4) Y5))))) (@ (@ tptp.produc1453890548195736866nt_int (@ tptp.collect_int P2)) (lambda ((X4 tptp.int)) (@ tptp.collect_int (@ Q2 X4)))))) (forall ((A4 tptp.set_nat) (C3 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) (@ D X)))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ (@ tptp.produc457027306803732586at_nat C3) D))))) (forall ((X2 tptp.nat) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.member_nat X2) C3) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.ord_less_eq_set_nat A4) B5)))) (forall ((X2 tptp.product_prod_o_o) (A4 tptp.set_o) (B5 tptp.set_o)) (= (@ (@ tptp.member7466972457876170832od_o_o X2) (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) B5))) (and (@ (@ tptp.member_o (@ tptp.product_fst_o_o X2)) A4) (@ (@ tptp.member_o (@ tptp.product_snd_o_o X2)) B5)))) (forall ((X2 tptp.product_prod_o_nat) (A4 tptp.set_o) (B5 tptp.set_nat)) (= (@ (@ tptp.member2802428098988154798_o_nat X2) (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) B5))) (and (@ (@ tptp.member_o (@ tptp.product_fst_o_nat X2)) A4) (@ (@ tptp.member_nat (@ tptp.product_snd_o_nat X2)) B5)))) (forall ((X2 tptp.product_prod_o_int) (A4 tptp.set_o) (B5 tptp.set_int)) (= (@ (@ tptp.member7847949116333733898_o_int X2) (@ (@ tptp.product_Sigma_o_int A4) (lambda ((Uu Bool)) B5))) (and (@ (@ tptp.member_o (@ tptp.product_fst_o_int X2)) A4) (@ (@ tptp.member_int (@ tptp.product_snd_o_int X2)) B5)))) (forall ((X2 tptp.product_prod_nat_o) (A4 tptp.set_nat) (B5 tptp.set_o)) (= (@ (@ tptp.member6310962623043647828_nat_o X2) (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) B5))) (and (@ (@ tptp.member_nat (@ tptp.product_fst_nat_o X2)) A4) (@ (@ tptp.member_o (@ tptp.product_snd_nat_o X2)) B5)))) (forall ((X2 tptp.product_prod_nat_int) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.member4262671552274231302at_int X2) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (and (@ (@ tptp.member_nat (@ tptp.product_fst_nat_int X2)) A4) (@ (@ tptp.member_int (@ tptp.product_snd_nat_int X2)) B5)))) (forall ((X2 tptp.product_prod_int_o) (A4 tptp.set_int) (B5 tptp.set_o)) (= (@ (@ tptp.member4489920277610959864_int_o X2) (@ (@ tptp.product_Sigma_int_o A4) (lambda ((Uu tptp.int)) B5))) (and (@ (@ tptp.member_int (@ tptp.product_fst_int_o X2)) A4) (@ (@ tptp.member_o (@ tptp.product_snd_int_o X2)) B5)))) (forall ((X2 tptp.product_prod_int_nat) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.member216504246829706758nt_nat X2) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (and (@ (@ tptp.member_int (@ tptp.product_fst_int_nat X2)) A4) (@ (@ tptp.member_nat (@ tptp.product_snd_int_nat X2)) B5)))) (forall ((X2 tptp.product_prod_int_int) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.member5262025264175285858nt_int X2) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (and (@ (@ tptp.member_int (@ tptp.product_fst_int_int X2)) A4) (@ (@ tptp.member_int (@ tptp.product_snd_int_int X2)) B5)))) (forall ((X2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.member8440522571783428010at_nat X2) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (and (@ (@ tptp.member_nat (@ tptp.product_fst_nat_nat X2)) A4) (@ (@ tptp.member_nat (@ tptp.product_snd_nat_nat X2)) B5)))) (forall ((X2 tptp.produc652263959640188542_nat_o) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_o)) (= (@ (@ tptp.member2200362271989506215_nat_o X2) (@ (@ tptp.produc203973861852599583_nat_o A4) (lambda ((Uu tptp.product_prod_nat_nat)) B5))) (and (@ (@ tptp.member8440522571783428010at_nat (@ tptp.produc6435950281062462810_nat_o X2)) A4) (@ (@ tptp.member_o (@ tptp.produc668916169454083228_nat_o X2)) B5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.image_5168914502847457605at_nat tptp.product_swap_nat_nat) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) A4)))) (forall ((R1 (-> Bool Bool Bool)) (Abs1 (-> Bool Bool)) (Rep1 (-> Bool Bool)) (T1 (-> Bool Bool Bool)) (R22 (-> Bool Bool Bool)) (Abs22 (-> Bool tptp.nat)) (Rep22 (-> tptp.nat Bool)) (T22 (-> Bool tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.quotient_o_o R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_o_nat R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_o_nat (@ (@ tptp.relcompp_o_o_o T1) (@ (@ tptp.relcompp_o_o_o R22) (@ tptp.conversep_o_o T1)))) (@ (@ tptp.comp_o_nat_o Abs22) Abs1)) (@ (@ tptp.comp_o_o_nat Rep1) Rep22)) (@ (@ tptp.relcompp_o_o_nat T1) T22))))) (forall ((R1 (-> tptp.num tptp.num Bool)) (Abs1 (-> tptp.num tptp.nat)) (Rep1 (-> tptp.nat tptp.num)) (T1 (-> tptp.num tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (Abs22 (-> tptp.nat tptp.int)) (Rep22 (-> tptp.int tptp.nat)) (T22 (-> tptp.nat tptp.int Bool))) (=> (@ (@ (@ (@ tptp.quotient_num_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_nat_int R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_num_int (@ (@ tptp.relcompp_num_nat_num T1) (@ (@ tptp.relcompp_nat_nat_num R22) (@ tptp.conversep_num_nat T1)))) (@ (@ tptp.comp_nat_int_num Abs22) Abs1)) (@ (@ tptp.comp_nat_num_int Rep1) Rep22)) (@ (@ tptp.relcompp_num_nat_int T1) T22))))) (forall ((R1 (-> tptp.nat tptp.nat Bool)) (Abs1 (-> tptp.nat tptp.int)) (Rep1 (-> tptp.int tptp.nat)) (T1 (-> tptp.nat tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (Abs22 (-> tptp.int tptp.int)) (Rep22 (-> tptp.int tptp.int)) (T22 (-> tptp.int tptp.int Bool))) (=> (@ (@ (@ (@ tptp.quotient_nat_int R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_int_int R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_nat_int (@ (@ tptp.relcompp_nat_int_nat T1) (@ (@ tptp.relcompp_int_int_nat R22) (@ tptp.conversep_nat_int T1)))) (@ (@ tptp.comp_int_int_nat Abs22) Abs1)) (@ (@ tptp.comp_int_nat_int Rep1) Rep22)) (@ (@ tptp.relcompp_nat_int_int T1) T22))))) (forall ((R1 (-> tptp.nat tptp.nat Bool)) (Abs1 (-> tptp.nat Bool)) (Rep1 (-> Bool tptp.nat)) (T1 (-> tptp.nat Bool Bool)) (R22 (-> Bool Bool Bool)) (Abs22 (-> Bool Bool)) (Rep22 (-> Bool Bool)) (T22 (-> Bool Bool Bool))) (=> (@ (@ (@ (@ tptp.quotient_nat_o R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_o_o R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_nat_o (@ (@ tptp.relcompp_nat_o_nat T1) (@ (@ tptp.relcompp_o_o_nat R22) (@ tptp.conversep_nat_o T1)))) (@ (@ tptp.comp_o_o_nat Abs22) Abs1)) (@ (@ tptp.comp_o_nat_o Rep1) Rep22)) (@ (@ tptp.relcompp_nat_o_o T1) T22))))) (forall ((R1 (-> tptp.int tptp.int Bool)) (Abs1 (-> tptp.int tptp.nat)) (Rep1 (-> tptp.nat tptp.int)) (T1 (-> tptp.int tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (Abs22 (-> tptp.nat tptp.num)) (Rep22 (-> tptp.num tptp.nat)) (T22 (-> tptp.nat tptp.num Bool))) (=> (@ (@ (@ (@ tptp.quotient_int_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_nat_num R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_int_num (@ (@ tptp.relcompp_int_nat_int T1) (@ (@ tptp.relcompp_nat_nat_int R22) (@ tptp.conversep_int_nat T1)))) (@ (@ tptp.comp_nat_num_int Abs22) Abs1)) (@ (@ tptp.comp_nat_int_num Rep1) Rep22)) (@ (@ tptp.relcompp_int_nat_num T1) T22))))) (forall ((R1 (-> tptp.nat tptp.nat Bool)) (Abs1 (-> tptp.nat tptp.nat)) (Rep1 (-> tptp.nat tptp.nat)) (T1 (-> tptp.nat tptp.nat Bool)) (R22 (-> tptp.nat tptp.nat Bool)) (Abs22 (-> tptp.nat tptp.nat)) (Rep22 (-> tptp.nat tptp.nat)) (T22 (-> tptp.nat tptp.nat Bool))) (let ((_let_1 (@ tptp.relcompp_nat_nat_nat T1))) (=> (@ (@ (@ (@ tptp.quotient_nat_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_nat_nat R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_nat_nat (@ _let_1 (@ (@ tptp.relcompp_nat_nat_nat R22) (@ tptp.conversep_nat_nat T1)))) (@ (@ tptp.comp_nat_nat_nat Abs22) Abs1)) (@ (@ tptp.comp_nat_nat_nat Rep1) Rep22)) (@ _let_1 T22)))))) (forall ((R1 (-> tptp.int tptp.int Bool)) (Abs1 (-> tptp.int tptp.int)) (Rep1 (-> tptp.int tptp.int)) (T1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (Abs22 (-> tptp.int tptp.nat)) (Rep22 (-> tptp.nat tptp.int)) (T22 (-> tptp.int tptp.nat Bool))) (=> (@ (@ (@ (@ tptp.quotient_int_int R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotient_int_nat R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotient_int_nat (@ (@ tptp.relcompp_int_int_int T1) (@ (@ tptp.relcompp_int_int_int R22) (@ tptp.conversep_int_int T1)))) (@ (@ tptp.comp_int_nat_int Abs22) Abs1)) (@ (@ tptp.comp_int_int_nat Rep1) Rep22)) (@ (@ tptp.relcompp_int_int_nat T1) T22))))) (forall ((R1 (-> tptp.int tptp.int Bool)) (Abs1 (-> tptp.int tptp.int)) (Rep1 (-> tptp.int tptp.int)) (T1 (-> tptp.int tptp.int Bool)) (R22 (-> tptp.int tptp.int Bool)) (Abs22 (-> tptp.int tptp.code_integer)) (Rep22 (-> tptp.code_integer tptp.int)) (T22 (-> tptp.int tptp.code_integer Bool))) (=> (@ (@ (@ (@ tptp.quotient_int_int R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotie2291698863146621601nteger R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotie2291698863146621601nteger (@ (@ tptp.relcompp_int_int_int T1) (@ (@ tptp.relcompp_int_int_int R22) (@ tptp.conversep_int_int T1)))) (@ (@ tptp.comp_i1585864551200866970er_int Abs22) Abs1)) (@ (@ tptp.comp_i2224564030725804698nteger Rep1) Rep22)) (@ (@ tptp.relcom967497705283160040nteger T1) T22))))) (forall ((R1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Abs1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (Rep1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (T1 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R22 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (Abs22 (-> tptp.product_prod_nat_nat tptp.int)) (Rep22 (-> tptp.int tptp.product_prod_nat_nat)) (T22 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ (@ (@ (@ tptp.quotie4166942682936818134at_nat R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotie1194848508323700631at_int R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotie1194848508323700631at_int (@ (@ tptp.relcom282571730187242960at_nat T1) (@ (@ tptp.relcom282571730187242960at_nat R22) (@ tptp.conver6965824823119931701at_nat T1)))) (@ (@ tptp.comp_P4605287290794827253at_nat Abs22) Abs1)) (@ (@ tptp.comp_P7428279379633703887at_int Rep1) Rep22)) (@ (@ tptp.relcom8911704206367525917at_int T1) T22))))) (forall ((R1 (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) Bool)) (Abs1 (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) tptp.code_integer tptp.code_integer)) (Rep1 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (T1 (-> (-> tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger) (-> tptp.code_integer tptp.code_integer) Bool)) (R22 (-> (-> tptp.code_integer tptp.code_integer) (-> tptp.code_integer tptp.code_integer) Bool)) (Abs22 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer)) (Rep22 (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (T22 (-> (-> tptp.code_integer tptp.code_integer) tptp.code_integer Bool))) (=> (@ (@ (@ (@ tptp.quotie8207154290130328982nteger R1) Abs1) Rep1) T1) (=> (@ (@ (@ (@ tptp.quotie9062115205763428814nteger R22) Abs22) Rep22) T22) (@ (@ (@ (@ tptp.quotie8803226531959296410nteger (@ (@ tptp.relcom458776940982682326nteger T1) (@ (@ tptp.relcom1820845089908643850nteger R22) (@ tptp.conver3229387634306789365nteger T1)))) (@ (@ tptp.comp_C7826480081638475456nteger Abs22) Abs1)) (@ (@ tptp.comp_C8797469213163452608nteger Rep1) Rep22)) (@ (@ tptp.relcom4829277440228594702nteger T1) T22))))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (B5 tptp.set_se5479201105039950375at_nat)) (= (@ (@ tptp.image_3313167189156628421at_nat (@ tptp.produc5456455677105495163at_nat (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (J tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat J) I2)))) (@ (@ tptp.produc6258361011560675592at_nat A4) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) B5))) (@ (@ tptp.produc6258361011560675592at_nat B5) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A4)))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.image_960689587819713477at_nat (@ tptp.produc7548845685434208379at_nat (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat J) I2)))) (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) B5))) (@ (@ tptp.produc7726050920695093128at_nat B5) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A4)))) (forall ((A4 tptp.set_num) (B5 tptp.set_nat)) (= (@ (@ tptp.image_7762062833379733445at_num (@ tptp.produc5219324331026901427at_num (lambda ((I2 tptp.num) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_num J) I2)))) (@ (@ tptp.produc7810729746965977780um_nat A4) (lambda ((Uu tptp.num)) B5))) (@ (@ tptp.produc6237731129814287028at_num B5) (lambda ((Uu tptp.nat)) A4)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.image_5168914502847457605at_nat (@ tptp.produc2626176000494625587at_nat (lambda ((I2 tptp.nat) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_nat J) I2)))) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) A4)))) (forall ((A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.image_2653370878348428101nt_int (@ tptp.produc4245557441103728435nt_int (lambda ((I2 tptp.int) (J tptp.int)) (@ (@ tptp.product_Pair_int_int J) I2)))) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1453890548195736866nt_int B5) (lambda ((Uu tptp.int)) A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (A7 tptp.set_rat) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (B7 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_rat F) A4) A7) (=> (= (@ (@ tptp.image_int_nat G) B5) B7) (= (@ (@ tptp.image_3755276878268593137at_nat (@ (@ tptp.produc8749313216793205150nt_nat F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc140472662868866674at_nat A7) (lambda ((Uu tptp.rat)) B7)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (A7 tptp.set_rat) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_rat F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_8800797895614172237at_int (@ (@ tptp.produc8746822746284154874nt_int F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc137982192359816398at_int A7) (lambda ((Uu tptp.rat)) B7)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (A7 tptp.set_nat) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_nat F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_9117352539549038149at_int (@ (@ tptp.produc7974749936722635250nt_int F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc454536836294682310at_int A7) (lambda ((Uu tptp.nat)) B7)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (A7 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (B7 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_int F) A4) A7) (=> (= (@ (@ tptp.image_int_nat G) B5) B7) (= (@ (@ tptp.image_5071185234104513605nt_nat (@ (@ tptp.produc8348893967468530162nt_nat F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat A7) (lambda ((Uu tptp.int)) B7)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (A7 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_int F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_893334214595316897nt_int (@ (@ tptp.produc8346403496959479886nt_int F) G)) (@ (@ tptp.produc454536836294682310at_int A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc1453890548195736866nt_int A7) (lambda ((Uu tptp.int)) B7)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A7 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (B7 tptp.set_rat)) (=> (= (@ (@ tptp.image_int_nat F) A4) A7) (=> (= (@ (@ tptp.image_nat_rat G) B5) B7) (= (@ (@ tptp.image_3420722608207172081at_rat (@ (@ tptp.produc4032938703151184286at_rat F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc9045269283572012658at_rat A7) (lambda ((Uu tptp.nat)) B7)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A7 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_int_nat F) A4) A7) (=> (= (@ (@ tptp.image_nat_int G) B5) B7) (= (@ (@ tptp.image_2751100147091372101at_int (@ (@ tptp.produc4665578292728629746at_int F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int A7) (lambda ((Uu tptp.nat)) B7)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A7 tptp.set_nat) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (B7 tptp.set_int)) (=> (= (@ (@ tptp.image_int_nat F) A4) A7) (=> (= (@ (@ tptp.image_int_int G) B5) B7) (= (@ (@ tptp.image_1654017166447373545at_int (@ (@ tptp.produc5664932004629684302nt_int F) G)) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc454536836294682310at_int A7) (lambda ((Uu tptp.nat)) B7)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (A7 tptp.set_int) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (B7 tptp.set_rat)) (=> (= (@ (@ tptp.image_int_int F) A4) A7) (=> (= (@ (@ tptp.image_nat_rat G) B5) B7) (= (@ (@ tptp.image_4420076320108226637nt_rat (@ (@ tptp.produc4404592263388028922at_rat F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc821250958618291406nt_rat A7) (lambda ((Uu tptp.int)) B7)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (A7 tptp.set_int) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (B7 tptp.set_nat)) (=> (= (@ (@ tptp.image_int_int F) A4) A7) (=> (= (@ (@ tptp.image_nat_nat G) B5) B7) (= (@ (@ tptp.image_7928304878501623365nt_nat (@ (@ tptp.produc5039722323474524658at_nat F) G)) (@ (@ tptp.produc1456381018704787142nt_nat A4) (lambda ((Uu tptp.int)) B5))) (@ (@ tptp.produc1456381018704787142nt_nat A7) (lambda ((Uu tptp.int)) B7)))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_t5646938096895998950at_nat R3) (=> (@ tptp.left_t1861001511420785031at_int S5) (@ tptp.left_t1861001511420785031at_int (@ (@ tptp.relcom8911704206367525917at_int R3) S5))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_total_int_int R3) (=> (@ tptp.left_t2374113004080657585nteger S5) (@ tptp.left_t2374113004080657585nteger (@ (@ tptp.relcom967497705283160040nteger R3) S5))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.left_u4005249686606446046at_int S5) (@ tptp.left_u4005249686606446046at_int (@ (@ tptp.relcom8911704206367525917at_int R3) S5))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.left_u6795595883297946906nteger S5) (@ tptp.left_u6795595883297946906nteger (@ (@ tptp.relcom967497705283160040nteger R3) S5))))) _let_167 (forall ((X2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_se7855581050983116737at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (let ((_let_1 (@ tptp.member8757157785044589968at_nat X2))) (= (@ _let_1 (@ (@ tptp.produc3241716407206042770at_nat A4) B5)) (@ _let_1 (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) B5)))))) (forall ((X2 tptp.product_prod_nat_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat X2))) (= (@ _let_1 (@ (@ tptp.produc929334515565554804at_nat A4) B5)) (@ _let_1 (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)))))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6121607364029222536t_unit A4))) (let ((_let_2 (@ tptp.image_262127665112854123t_unit tptp.produc6786084904866402309t_unit))) (let ((_let_3 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) B5))))))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.produc4996980317674386579unit_o A4))) (let ((_let_2 (@ tptp.image_1801747192096393899it_o_o tptp.produc7461459235754980752unit_o))) (let ((_let_3 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) B5))))))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.produc6875377002296012693it_nat A4))) (let ((_let_2 (@ tptp.image_6725568594985674851at_nat tptp.produc996414825743149016it_nat))) (let ((_let_3 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) B5))))))) (forall ((A4 tptp.set_o) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc411009820408249917t_unit A4))) (let ((_let_2 (@ tptp.image_4419268941131634678t_unit tptp.produc2875488738488844090t_unit))) (let ((_let_3 (= A4 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) B5))))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_o A4))) (let ((_let_2 (@ tptp.image_7896445794123959606_o_o_o tptp.product_snd_o_o))) (let ((_let_3 (= A4 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) B5))))))) (forall ((A4 tptp.set_o) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.product_Sigma_o_nat A4))) (let ((_let_2 (@ tptp.image_4888532181312399726at_nat tptp.product_snd_o_nat))) (let ((_let_3 (= A4 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) B5))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc5506539147108004339t_unit A4))) (let ((_let_2 (@ tptp.image_5511522805742971924t_unit tptp.produc8850949007409916470t_unit))) (let ((_let_3 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) B5))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_nat_o A4))) (let ((_let_2 (@ tptp.image_7478392465989118804at_o_o tptp.product_snd_nat_o))) (let ((_let_3 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) B5))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.produc457027306803732586at_nat A4))) (let ((_let_2 (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat))) (let ((_let_3 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) B5))))))) (forall ((A4 tptp.set_ref_a) (B5 tptp.set_he8644174446132254637t_unit)) (let ((_let_1 (@ tptp.produc3946373962484743846t_unit A4))) (let ((_let_2 (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit))) (let ((_let_3 (= A4 tptp.bot_bot_set_ref_a))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) tptp.bot_bo3686245532977126937t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) B5))))))) (forall ((B5 tptp.set_Product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6121607364029222536t_unit A4))) (let ((_let_2 (@ tptp.image_262127665112854123t_unit tptp.produc6963936691090040003t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) A4))))))) (forall ((B5 tptp.set_Product_unit) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.produc411009820408249917t_unit A4))) (let ((_let_2 (@ tptp.image_8742399529945250561unit_o tptp.produc5219655352205527288t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) A4))))))) (forall ((B5 tptp.set_Product_unit) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.produc5506539147108004339t_unit A4))) (let ((_let_2 (@ tptp.image_3884712837920099081it_nat tptp.produc3800628931346975736t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) A4))))))) (forall ((B5 tptp.set_o) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc4996980317674386579unit_o A4))) (let ((_let_2 (@ tptp.image_4246157487713968288t_unit tptp.produc582253812616888142unit_o))) (let ((_let_3 (= B5 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) A4))))))) (forall ((B5 tptp.set_o) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_o A4))) (let ((_let_2 (@ tptp.image_7896445794123959606_o_o_o tptp.product_fst_o_o))) (let ((_let_3 (= B5 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) A4))))))) (forall ((B5 tptp.set_o) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.product_Sigma_nat_o A4))) (let ((_let_2 (@ tptp.image_8629803608462650132_o_nat tptp.product_fst_nat_o))) (let ((_let_3 (= B5 tptp.bot_bot_set_o))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) A4))))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6875377002296012693it_nat A4))) (let ((_let_2 (@ tptp.image_7474191388529947450t_unit tptp.produc5169466786534984090it_nat))) (let ((_let_3 (= B5 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))) A4))))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_nat A4))) (let ((_let_2 (@ tptp.image_8105710389281276538_nat_o tptp.product_fst_o_nat))) (let ((_let_3 (= B5 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) tptp.bot_bot_set_o)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu Bool)) B5))) A4))))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.produc457027306803732586at_nat A4))) (let ((_let_2 (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat))) (let ((_let_3 (= B5 tptp.bot_bot_set_nat))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) tptp.bot_bot_set_nat)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.nat)) B5))) A4))))))) (forall ((B5 tptp.set_he8644174446132254637t_unit) (A4 tptp.set_ref_a)) (let ((_let_1 (@ tptp.produc3946373962484743846t_unit A4))) (let ((_let_2 (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit))) (let ((_let_3 (= B5 tptp.bot_bo3686245532977126937t_unit))) (and (=> _let_3 (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) tptp.bot_bot_set_ref_a)) (=> (not _let_3) (= (@ _let_2 (@ _let_1 (lambda ((Uu tptp.ref_a)) B5))) A4))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (= (@ (@ tptp.image_int_int F) A4) tptp.bot_bot_set_int) (= A4 tptp.bot_bot_set_int))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_nat_rat F) A4) tptp.bot_bot_set_rat) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_nat_int F) A4) tptp.bot_bot_set_int) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (= (= (@ (@ tptp.image_405062704495631173t_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bo3957492148770167129t_unit))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (= (= (@ (@ tptp.image_o_Product_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_o))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_8730104196221521654t_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_Product_unit)) (= (= (@ (@ tptp.image_Product_unit_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bo3957492148770167129t_unit))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o)) (= (= (@ (@ tptp.image_o_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_o))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (= (@ (@ tptp.image_nat_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (= (@ (@ tptp.image_int_nat F) A4) tptp.bot_bot_set_nat) (= A4 tptp.bot_bot_set_int))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (= tptp.bot_bot_set_int (@ (@ tptp.image_int_int F) A4)) (= A4 tptp.bot_bot_set_int))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (= tptp.bot_bot_set_rat (@ (@ tptp.image_nat_rat F) A4)) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (= tptp.bot_bot_set_int (@ (@ tptp.image_nat_int F) A4)) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (= (= tptp.bot_bo3957492148770167129t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4)) (= A4 tptp.bot_bo3957492148770167129t_unit))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (= (= tptp.bot_bo3957492148770167129t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (= A4 tptp.bot_bot_set_o))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (= (= tptp.bot_bo3957492148770167129t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_Product_unit)) (= (= tptp.bot_bot_set_o (@ (@ tptp.image_Product_unit_o F) A4)) (= A4 tptp.bot_bo3957492148770167129t_unit))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o)) (= (= tptp.bot_bot_set_o (@ (@ tptp.image_o_o F) A4)) (= A4 tptp.bot_bot_set_o))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (= tptp.bot_bot_set_o (@ (@ tptp.image_nat_o F) A4)) (= A4 tptp.bot_bot_set_nat))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (= tptp.bot_bot_set_nat (@ (@ tptp.image_int_nat F) A4)) (= A4 tptp.bot_bot_set_int))) (forall ((F (-> tptp.int tptp.int))) (= (@ (@ tptp.image_int_int F) tptp.bot_bot_set_int) tptp.bot_bot_set_int)) (forall ((F (-> tptp.int tptp.nat))) (= (@ (@ tptp.image_int_nat F) tptp.bot_bot_set_int) tptp.bot_bot_set_nat)) (forall ((F (-> tptp.product_unit tptp.product_unit))) (= (@ (@ tptp.image_405062704495631173t_unit F) tptp.bot_bo3957492148770167129t_unit) tptp.bot_bo3957492148770167129t_unit)) (forall ((F (-> tptp.product_unit Bool))) (= (@ (@ tptp.image_Product_unit_o F) tptp.bot_bo3957492148770167129t_unit) tptp.bot_bot_set_o)) (forall ((F (-> tptp.product_unit tptp.nat))) (= (@ (@ tptp.image_875570014554754200it_nat F) tptp.bot_bo3957492148770167129t_unit) tptp.bot_bot_set_nat)) (forall ((F (-> Bool tptp.product_unit))) (= (@ (@ tptp.image_o_Product_unit F) tptp.bot_bot_set_o) tptp.bot_bo3957492148770167129t_unit)) (forall ((F (-> Bool Bool))) (= (@ (@ tptp.image_o_o F) tptp.bot_bot_set_o) tptp.bot_bot_set_o)) (forall ((F (-> Bool tptp.nat))) (= (@ (@ tptp.image_o_nat F) tptp.bot_bot_set_o) tptp.bot_bot_set_nat)) (forall ((F (-> tptp.nat tptp.rat))) (= (@ (@ tptp.image_nat_rat F) tptp.bot_bot_set_nat) tptp.bot_bot_set_rat)) (forall ((F (-> tptp.nat tptp.int))) (= (@ (@ tptp.image_nat_int F) tptp.bot_bot_set_nat) tptp.bot_bot_set_int)) (forall ((B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (= (@ (@ tptp.produc7726050920695093128at_nat tptp.bot_bo3083307316010499117at_nat) B5) tptp.bot_bo228742789529271731at_nat)) (forall ((B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat tptp.bot_bot_set_nat) B5) tptp.bot_bo2099793752762293965at_nat)) (forall ((A4 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) tptp.bot_bo3083307316010499117at_nat)) tptp.bot_bo228742789529271731at_nat)) (forall ((A4 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) tptp.bot_bot_set_nat)) tptp.bot_bo2099793752762293965at_nat)) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Product_unit)) (= (= (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo1654022762305692595t_unit) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_o)) (= (= (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo3195362268743713342unit_o) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_o)))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_nat)) (= (= (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo2472676621365177558it_nat) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_nat)))) (forall ((A4 tptp.set_o) (B5 tptp.set_Product_unit)) (= (= (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) B5)) tptp.bot_bo4402188677660116584t_unit) (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 tptp.set_o) (B5 tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) B5)) tptp.bot_bo7073875226086086771od_o_o) (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_o)))) (forall ((A4 tptp.set_o) (B5 tptp.set_nat)) (= (= (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) B5)) tptp.bot_bo66526543525301729_o_nat) (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_nat)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_Product_unit)) (= (= (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) B5)) tptp.bot_bo5043309098482578556t_unit) (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) B5)) tptp.bot_bo1114129665703605383_nat_o) (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_o)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (= (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)) tptp.bot_bo2099793752762293965at_nat) (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_nat)))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc3904733337175673596at_nat A4) (lambda ((Uu tptp.product_unit)) B5)) tptp.bot_bo6659885642593197735at_nat) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo2099793752762293965at_nat)))) _let_166 _let_165 _let_164 (forall ((I3 tptp.set_se7855581050983116737at_nat) (X5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (= (= (@ (@ tptp.produc7726050920695093128at_nat I3) X5) tptp.bot_bo228742789529271731at_nat) (forall ((X4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X4) I3) (= (@ X5 X4) tptp.bot_bo3083307316010499117at_nat))))) (forall ((I3 tptp.set_nat) (X5 (-> tptp.nat tptp.set_nat))) (= (= (@ (@ tptp.produc457027306803732586at_nat I3) X5) tptp.bot_bo2099793752762293965at_nat) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ X5 X4) tptp.bot_bot_set_nat))))) (forall ((A4 tptp.set_int)) (=> (forall ((X tptp.int)) (not (@ (@ tptp.member_int X) A4))) (@ (@ tptp.ord_less_eq_set_int A4) tptp.bot_bot_set_int))) (forall ((A4 tptp.set_Product_unit)) (=> (forall ((X tptp.product_unit)) (not (@ (@ tptp.member_Product_unit X) A4))) (@ (@ tptp.ord_le3507040750410214029t_unit A4) tptp.bot_bo3957492148770167129t_unit))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (not (@ (@ tptp.member8757157785044589968at_nat X) A4))) (@ (@ tptp.ord_le1268244103169919719at_nat A4) tptp.bot_bo228742789529271731at_nat))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.product_prod_nat_nat)) (not (@ (@ tptp.member8440522571783428010at_nat X) A4))) (@ (@ tptp.ord_le3146513528884898305at_nat A4) tptp.bot_bo2099793752762293965at_nat))) (forall ((A4 tptp.set_o)) (=> (forall ((X Bool)) (not (@ (@ tptp.member_o X) A4))) (@ (@ tptp.ord_less_eq_set_o A4) tptp.bot_bot_set_o))) (forall ((A4 tptp.set_nat)) (=> (forall ((X tptp.nat)) (not (@ (@ tptp.member_nat X) A4))) (@ (@ tptp.ord_less_eq_set_nat A4) tptp.bot_bot_set_nat))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (=> (= A4 tptp.bot_bo228742789529271731at_nat) (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (= A4 tptp.bot_bo2099793752762293965at_nat) (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (C3 tptp.set_Product_unit) (D tptp.set_Product_unit)) (= (= (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc6121607364029222536t_unit C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo3957492148770167129t_unit)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bo3957492148770167129t_unit)))))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_o) (C3 tptp.set_Product_unit) (D tptp.set_o)) (= (= (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc4996980317674386579unit_o C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_o)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bot_set_o)))))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_nat) (C3 tptp.set_Product_unit) (D tptp.set_nat)) (= (= (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc6875377002296012693it_nat C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bot_set_nat)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bot_set_nat)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_Product_unit) (C3 tptp.set_o) (D tptp.set_Product_unit)) (= (= (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) B5)) (@ (@ tptp.produc411009820408249917t_unit C3) (lambda ((Uu Bool)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bo3957492148770167129t_unit)) (or (= C3 tptp.bot_bot_set_o) (= D tptp.bot_bo3957492148770167129t_unit)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 tptp.set_o) (D tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) B5)) (@ (@ tptp.product_Sigma_o_o C3) (lambda ((Uu Bool)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_o)) (or (= C3 tptp.bot_bot_set_o) (= D tptp.bot_bot_set_o)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_nat) (C3 tptp.set_o) (D tptp.set_nat)) (= (= (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) B5)) (@ (@ tptp.product_Sigma_o_nat C3) (lambda ((Uu Bool)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_o) (= B5 tptp.bot_bot_set_nat)) (or (= C3 tptp.bot_bot_set_o) (= D tptp.bot_bot_set_nat)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_Product_unit) (C3 tptp.set_nat) (D tptp.set_Product_unit)) (= (= (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) B5)) (@ (@ tptp.produc5506539147108004339t_unit C3) (lambda ((Uu tptp.nat)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bo3957492148770167129t_unit)) (or (= C3 tptp.bot_bot_set_nat) (= D tptp.bot_bo3957492148770167129t_unit)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_o) (C3 tptp.set_nat) (D tptp.set_o)) (= (= (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) B5)) (@ (@ tptp.product_Sigma_nat_o C3) (lambda ((Uu tptp.nat)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_o)) (or (= C3 tptp.bot_bot_set_nat) (= D tptp.bot_bot_set_o)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat) (D tptp.set_nat)) (= (= (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)) (@ (@ tptp.produc457027306803732586at_nat C3) (lambda ((Uu tptp.nat)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bot_set_nat) (= B5 tptp.bot_bot_set_nat)) (or (= C3 tptp.bot_bot_set_nat) (= D tptp.bot_bot_set_nat)))))) (forall ((A4 tptp.set_Product_unit) (B5 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_Product_unit) (D tptp.set_Pr1261947904930325089at_nat)) (= (= (@ (@ tptp.produc3904733337175673596at_nat A4) (lambda ((Uu tptp.product_unit)) B5)) (@ (@ tptp.produc3904733337175673596at_nat C3) (lambda ((Uu tptp.product_unit)) D))) (or (and (= A4 C3) (= B5 D)) (and (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= B5 tptp.bot_bo2099793752762293965at_nat)) (or (= C3 tptp.bot_bo3957492148770167129t_unit) (= D tptp.bot_bo2099793752762293965at_nat)))))) (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (D tptp.set_Product_unit)) (= (@ (@ tptp.ord_le930853871177014503t_unit (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc6121607364029222536t_unit B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bo3957492148770167129t_unit) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_le3507040750410214029t_unit C3) D))))) (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_o) (B5 tptp.set_Product_unit) (D tptp.set_o)) (= (@ (@ tptp.ord_le8534741403851954546unit_o (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc4996980317674386579unit_o B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bot_set_o) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_less_eq_set_o C3) D))))) (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_nat) (B5 tptp.set_Product_unit) (D tptp.set_nat)) (= (@ (@ tptp.ord_le8121013740822022818it_nat (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc6875377002296012693it_nat B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bot_set_nat) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_less_eq_set_nat C3) D))))) (forall ((A4 tptp.set_o) (C3 tptp.set_Product_unit) (B5 tptp.set_o) (D tptp.set_Product_unit)) (= (@ (@ tptp.ord_le518195775913581980t_unit (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) C3))) (@ (@ tptp.produc411009820408249917t_unit B5) (lambda ((Uu Bool)) D))) (or (= A4 tptp.bot_bot_set_o) (= C3 tptp.bot_bo3957492148770167129t_unit) (and (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.ord_le3507040750410214029t_unit C3) D))))) (forall ((A4 tptp.set_o) (C3 tptp.set_o) (B5 tptp.set_o) (D tptp.set_o)) (= (@ (@ tptp.ord_le192195778054999463od_o_o (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) C3))) (@ (@ tptp.product_Sigma_o_o B5) (lambda ((Uu Bool)) D))) (or (= A4 tptp.bot_bot_set_o) (= C3 tptp.bot_bot_set_o) (and (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.ord_less_eq_set_o C3) D))))) (forall ((A4 tptp.set_o) (C3 tptp.set_nat) (B5 tptp.set_o) (D tptp.set_nat)) (= (@ (@ tptp.ord_le6472378536984071597_o_nat (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) C3))) (@ (@ tptp.product_Sigma_o_nat B5) (lambda ((Uu Bool)) D))) (or (= A4 tptp.bot_bot_set_o) (= C3 tptp.bot_bot_set_nat) (and (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.ord_less_eq_set_nat C3) D))))) (forall ((A4 tptp.set_nat) (C3 tptp.set_Product_unit) (B5 tptp.set_nat) (D tptp.set_Product_unit)) (= (@ (@ tptp.ord_le1468274181084648008t_unit (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc5506539147108004339t_unit B5) (lambda ((Uu tptp.nat)) D))) (or (= A4 tptp.bot_bot_set_nat) (= C3 tptp.bot_bo3957492148770167129t_unit) (and (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_le3507040750410214029t_unit C3) D))))) (forall ((A4 tptp.set_nat) (C3 tptp.set_o) (B5 tptp.set_nat) (D tptp.set_o)) (= (@ (@ tptp.ord_le7519981659162375251_nat_o (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.product_Sigma_nat_o B5) (lambda ((Uu tptp.nat)) D))) (or (= A4 tptp.bot_bot_set_nat) (= C3 tptp.bot_bot_set_o) (and (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_o C3) D))))) (forall ((A4 tptp.set_nat) (C3 tptp.set_nat) (B5 tptp.set_nat) (D tptp.set_nat)) (= (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) D))) (or (= A4 tptp.bot_bot_set_nat) (= C3 tptp.bot_bot_set_nat) (and (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.ord_less_eq_set_nat C3) D))))) (forall ((A4 tptp.set_Product_unit) (C3 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Product_unit) (D tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.ord_le8681960759543468507at_nat (@ (@ tptp.produc3904733337175673596at_nat A4) (lambda ((Uu tptp.product_unit)) C3))) (@ (@ tptp.produc3904733337175673596at_nat B5) (lambda ((Uu tptp.product_unit)) D))) (or (= A4 tptp.bot_bo3957492148770167129t_unit) (= C3 tptp.bot_bo2099793752762293965at_nat) (and (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (@ (@ tptp.ord_le3146513528884898305at_nat C3) D))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Product_unit))) (= (@ (@ tptp.image_8742399529945250561unit_o tptp.produc5219655352205527288t_unit) (@ (@ tptp.produc411009820408249917t_unit A4) B5)) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (not (= (@ B5 X4) tptp.bot_bo3957492148770167129t_unit))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Product_unit))) (= (@ (@ tptp.image_7716461468295075337it_int tptp.produc917050878549155996t_unit) (@ (@ tptp.produc2622961094310184599t_unit A4) B5)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (not (= (@ B5 X4) tptp.bot_bo3957492148770167129t_unit))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_Product_unit))) (= (@ (@ tptp.image_3884712837920099081it_nat tptp.produc3800628931346975736t_unit) (@ (@ tptp.produc5506539147108004339t_unit A4) B5)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (not (= (@ B5 X4) tptp.bot_bo3957492148770167129t_unit))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (= (@ (@ tptp.image_7896445794123959606_o_o_o tptp.product_fst_o_o) (@ (@ tptp.product_Sigma_o_o A4) B5)) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_o))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o))) (= (@ (@ tptp.image_90517134139374612_o_int tptp.product_fst_int_o) (@ (@ tptp.product_Sigma_int_o A4) B5)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_o))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_o))) (= (@ (@ tptp.image_8629803608462650132_o_nat tptp.product_fst_nat_o) (@ (@ tptp.product_Sigma_nat_o A4) B5)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_o))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (= (@ (@ tptp.image_8105710389281276538_nat_o tptp.product_fst_o_nat) (@ (@ tptp.product_Sigma_o_nat A4) B5)) (@ tptp.collect_o (lambda ((X4 Bool)) (and (@ (@ tptp.member_o X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_nat))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (= (@ (@ tptp.image_2855239504505064772at_int tptp.product_fst_int_nat) (@ (@ tptp.produc1456381018704787142nt_nat A4) B5)) (@ tptp.collect_int (lambda ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_nat))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.image_2486076414777270412at_nat tptp.product_fst_nat_nat) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A4) (not (= (@ B5 X4) tptp.bot_bot_set_nat))))))) (forall ((A4 tptp.set_ref_a) (B5 (-> tptp.ref_a tptp.set_he8644174446132254637t_unit))) (= (@ (@ tptp.image_7136766188234240905_ref_a tptp.produc473321116828791851t_unit) (@ (@ tptp.produc3946373962484743846t_unit A4) B5)) (@ tptp.collect_ref_a (lambda ((X4 tptp.ref_a)) (and (@ (@ tptp.member_ref_a X4) A4) (not (= (@ B5 X4) tptp.bot_bo3686245532977126937t_unit))))))) (forall ((P2 tptp.produc1319942482725812455at_nat) (F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.fun_re2478310338295953701at_nat P2) (@ tptp.fun_re2478310338295953701at_nat (@ (@ tptp.fun_rp8445993449185644698at_nat P2) F)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (X2 tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_nat (@ (@ tptp.image_int_nat F) A4)) (@ F X2))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (X2 tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_int (@ (@ tptp.image_int_int F) A4)) (@ F X2))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_rat (@ (@ tptp.image_nat_rat F) A4)) (@ F X2))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_nat (@ (@ tptp.image_nat_nat F) A4)) (@ F X2))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (X2 tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) A4) (= (@ F Y) (@ F X2)))) (= (@ tptp.the_elem_int (@ (@ tptp.image_nat_int F) A4)) (@ F X2))))) (forall ((A4 tptp.set_ref_a) (B5 (-> tptp.ref_a tptp.set_he8644174446132254637t_unit))) (= (@ (@ tptp.image_17660834435998945t_unit tptp.produc1126150082675451753t_unit) (@ (@ tptp.produc3946373962484743846t_unit A4) B5)) (@ tptp.comple6989579708249578522t_unit (@ (@ tptp.image_5570573867351727369t_unit B5) A4)))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.image_2486076414777270412at_nat tptp.product_snd_nat_nat) (@ (@ tptp.produc457027306803732586at_nat A4) B5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))) (forall ((X2 tptp.product_unit)) (= (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Uu tptp.char)) X2)) tptp.top_top_set_char) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit))) (forall ((X2 Bool)) (= (@ (@ tptp.image_char_o (lambda ((Uu tptp.char)) X2)) tptp.top_top_set_char) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o))) (forall ((X2 tptp.nat)) (= (@ (@ tptp.image_char_nat (lambda ((Uu tptp.char)) X2)) tptp.top_top_set_char) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))) (forall ((X2 tptp.product_unit)) (= (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Uu tptp.rat)) X2)) tptp.top_top_set_rat) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit))) (forall ((X2 Bool)) (= (@ (@ tptp.image_rat_o (lambda ((Uu tptp.rat)) X2)) tptp.top_top_set_rat) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o))) (forall ((X2 tptp.nat)) (= (@ (@ tptp.image_rat_nat (lambda ((Uu tptp.rat)) X2)) tptp.top_top_set_rat) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))) (forall ((X2 tptp.rat)) (= (@ (@ tptp.image_nat_rat (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_rat X2) tptp.bot_bot_set_rat))) (forall ((X2 tptp.int)) (= (@ (@ tptp.image_nat_int (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int))) (forall ((X2 tptp.product_unit)) (= (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit))) (forall ((X2 Bool)) (= (@ (@ tptp.image_nat_o (lambda ((Uu tptp.nat)) X2)) tptp.top_top_set_nat) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (R7 (-> tptp.code_integer tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_u6795595883297946906nteger R3) (=> (@ tptp.right_7281159819619925802nteger R3) (=> (@ tptp.right_5866438497372881682nteger R7) (=> (@ tptp.left_t2884206969071330nteger R7) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom8320293257703906841nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1848932251921554756er_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re40212662316476751um_num R7) S6)))))))) (forall ((R3 (-> tptp.int tptp.code_integer Bool)) (R7 (-> tptp.code_integer tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_u6795595883297946906nteger R3) (=> (@ tptp.right_7281159819619925802nteger R3) (=> (@ tptp.right_7836862732553076961er_int R7) (=> (@ tptp.left_t1735413524555719857er_int R7) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcom328798225758222312er_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom7779292856395800339nt_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re8313794964846168862um_num R7) S6)))))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcompp_int_int_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re7626690874201225453um_num R7) S6)))))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool)) (S6 (-> tptp.num tptp.num Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1533066287727470739er_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re6718328864250387230um_num R7) S6)))))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (@ (@ tptp.ord_le7522433683449569238eger_o (@ (@ tptp.bNF_re3379532845092657523nteger (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom7212586982944386682nteger (@ (@ tptp.bNF_re4712519889275205905nt_int R3) S5)) (@ (@ tptp.bNF_re3379532845092657523nteger R7) S6)))))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R7 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.left_u4005249686606446046at_int R3) (=> (@ tptp.right_1157779049177982926at_int R3) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom2949942408940504938nt_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom4272412204205018633nt_nat (@ (@ tptp.bNF_re4555766996558763186at_nat R3) S5)) (@ (@ tptp.bNF_re3715656647883201625at_nat R7) S6)))))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool)) (S6 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.right_4094035864313884895at_nat R3) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom531901107642208332nt_nat (@ (@ tptp.bNF_re8246922863344978751at_nat R3) S5)) (@ (@ tptp.bNF_re4555766996558763186at_nat R7) S6)))))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.right_4094035864313884895at_nat R3) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (@ (@ tptp.ord_le6141271677531915726eger_o (@ (@ tptp.bNF_re6202762543029211035nteger (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom4574826104943343961nteger (@ (@ tptp.bNF_re20414067882207223nt_int R3) S5)) (@ (@ tptp.bNF_re6202762543029211035nteger R7) S6)))))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (R7 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_unique_int_int R3) (=> (@ tptp.right_total_int_int R3) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (@ (@ tptp.ord_le8615040745438789472_int_o (@ (@ tptp.bNF_re2828929484557863493at_int (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom2127790875031262553er_int (@ (@ tptp.bNF_re8766404587435608311at_nat R3) S5)) (@ (@ tptp.bNF_re2828929484557863493at_int R7) S6)))))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.left_u7296345956935681743at_nat R3) (=> (@ tptp.right_4094035864313884895at_nat R3) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ tptp.bNF_re7400052026677387805at_int (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom4982215633375716084nt_int (@ (@ tptp.bNF_re2241393799969408733at_nat R3) S5)) (@ (@ tptp.bNF_re7400052026677387805at_int R7) S6)))))))) (forall ((R7 (-> tptp.code_integer tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_5866438497372881682nteger R7) (=> (@ tptp.left_t2884206969071330nteger R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom8320293257703906841nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1848932251921554756er_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re40212662316476751um_num R7) S6)))))))) (forall ((R7 (-> tptp.code_integer tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.code_integer Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_7836862732553076961er_int R7) (=> (@ tptp.left_t1735413524555719857er_int R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcom328798225758222312er_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom7779292856395800339nt_num (@ (@ tptp.bNF_re6718328864250387230um_num R3) S5)) (@ (@ tptp.bNF_re8313794964846168862um_num R7) S6)))))))) (forall ((R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le4541714130423454556_num_o (@ (@ tptp.bNF_re7626690874201225453um_num (@ (@ tptp.relcompp_int_int_int R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom9025577121137075810nt_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re7626690874201225453um_num R7) S6)))))))) (forall ((R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.num tptp.num Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.num tptp.num Bool))) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (=> (@ tptp.left_unique_num_num S6) (=> (@ tptp.right_total_num_num S6) (@ (@ tptp.ord_le6931201860925936491_num_o (@ (@ tptp.bNF_re6718328864250387230um_num (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcompp_num_num_num S5) S6))) (@ (@ tptp.relcom1533066287727470739er_num (@ (@ tptp.bNF_re7626690874201225453um_num R3) S5)) (@ (@ tptp.bNF_re6718328864250387230um_num R7) S6)))))))) (forall ((R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.int tptp.code_integer Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.int Bool))) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (=> (@ tptp.left_u6795595883297946906nteger S6) (=> (@ tptp.right_7281159819619925802nteger S6) (@ (@ tptp.ord_le7522433683449569238eger_o (@ (@ tptp.bNF_re3379532845092657523nteger (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom7212586982944386682nteger (@ (@ tptp.bNF_re4712519889275205905nt_int R3) S5)) (@ (@ tptp.bNF_re3379532845092657523nteger R7) S6)))))))) (forall ((R7 (-> tptp.int tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S5 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.right_unique_int_int R7) (=> (@ tptp.left_total_int_int R7) (=> (@ tptp.left_unique_nat_nat S6) (=> (@ tptp.right_total_nat_nat S6) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom2949942408940504938nt_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom4272412204205018633nt_nat (@ (@ tptp.bNF_re4555766996558763186at_nat R3) S5)) (@ (@ tptp.bNF_re3715656647883201625at_nat R7) S6)))))))) (forall ((R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.nat tptp.nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.nat tptp.nat Bool))) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (=> (@ tptp.left_unique_nat_nat S6) (=> (@ tptp.right_total_nat_nat S6) (@ (@ tptp.ord_le1714508135640884727_nat_o (@ (@ tptp.bNF_re4555766996558763186at_nat (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcompp_nat_nat_nat S5) S6))) (@ (@ tptp.relcom531901107642208332nt_nat (@ (@ tptp.bNF_re8246922863344978751at_nat R3) S5)) (@ (@ tptp.bNF_re4555766996558763186at_nat R7) S6)))))))) (forall ((R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.int tptp.code_integer Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.int tptp.int Bool))) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (=> (@ tptp.left_u6795595883297946906nteger S6) (=> (@ tptp.right_7281159819619925802nteger S6) (@ (@ tptp.ord_le6141271677531915726eger_o (@ (@ tptp.bNF_re6202762543029211035nteger (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom967497705283160040nteger S5) S6))) (@ (@ tptp.relcom4574826104943343961nteger (@ (@ tptp.bNF_re20414067882207223nt_int R3) S5)) (@ (@ tptp.bNF_re6202762543029211035nteger R7) S6)))))))) (forall ((R7 (-> tptp.int tptp.code_integer Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.right_8475562212078014689nteger R7) (=> (@ tptp.left_t2374113004080657585nteger R7) (=> (@ tptp.left_u4005249686606446046at_int S6) (=> (@ tptp.right_1157779049177982926at_int S6) (@ (@ tptp.ord_le8615040745438789472_int_o (@ (@ tptp.bNF_re2828929484557863493at_int (@ (@ tptp.relcom967497705283160040nteger R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom2127790875031262553er_int (@ (@ tptp.bNF_re8766404587435608311at_nat R3) S5)) (@ (@ tptp.bNF_re2828929484557863493at_int R7) S6)))))))) (forall ((R7 (-> tptp.product_prod_nat_nat tptp.int Bool)) (S6 (-> tptp.product_prod_nat_nat tptp.int Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (=> (@ tptp.right_8621877368619751767at_int R7) (=> (@ tptp.left_t1861001511420785031at_int R7) (=> (@ tptp.left_u4005249686606446046at_int S6) (=> (@ tptp.right_1157779049177982926at_int S6) (@ (@ tptp.ord_le2484784447047653514_int_o (@ (@ tptp.bNF_re7400052026677387805at_int (@ (@ tptp.relcom8911704206367525917at_int R3) R7)) (@ (@ tptp.relcom8911704206367525917at_int S5) S6))) (@ (@ tptp.relcom4982215633375716084nt_int (@ (@ tptp.bNF_re2241393799969408733at_nat R3) S5)) (@ (@ tptp.bNF_re7400052026677387805at_int R7) S6)))))))) (forall ((R tptp.set_Pr5564308138774400199at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.ord_le3091953645718357095at_nat R) (@ (@ tptp.produc4441300235185154312at_nat A4) (lambda ((Uu tptp.produc3843707927480180839at_nat)) A4))) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X) X)) R))) (@ (@ tptp.refl_o7446464703481863270at_nat A4) R)))) (forall ((R tptp.set_Pr8693737435421807431at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.ord_le3000389064537975527at_nat R) (@ (@ tptp.produc2761391749766926216at_nat A4) (lambda ((Uu tptp.product_prod_nat_nat)) A4))) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X) X)) R))) (@ (@ tptp.refl_o7122697186039111552at_nat A4) R)))) (forall ((R tptp.set_Product_prod_o_o) (A4 tptp.set_o)) (=> (@ (@ tptp.ord_le192195778054999463od_o_o R) (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) A4))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X) X)) R))) (@ (@ tptp.refl_on_o A4) R)))) (forall ((R tptp.set_Pr7459493094073627847at_nat) (A4 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.ord_le5997549366648089703at_nat R) (@ (@ tptp.produc6258361011560675592at_nat A4) (lambda ((Uu tptp.set_Pr4329608150637261639at_nat)) A4))) (=> (forall ((X tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X) X)) R))) (@ (@ tptp.refl_o6272981002401706822at_nat A4) R)))) (forall ((R tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.ord_le1268244103169919719at_nat R) (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) A4))) (=> (forall ((X tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X) X)) R))) (@ (@ tptp.refl_o6955724340487615712at_nat A4) R)))) (forall ((R tptp.set_Pr958786334691620121nt_int) (A4 tptp.set_int)) (=> (@ (@ tptp.ord_le2843351958646193337nt_int R) (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) A4))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) X)) R))) (@ (@ tptp.refl_on_int A4) R)))) (forall ((R tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat R) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) A4))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) X)) R))) (@ (@ tptp.refl_on_nat A4) R)))) _let_163 _let_162 _let_161 _let_160 (forall ((F (-> tptp.int tptp.int)) (A tptp.int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ (@ tptp.insert_int A) B5)) (@ (@ tptp.insert_int (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.int tptp.nat)) (A tptp.int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ (@ tptp.insert_int A) B5)) (@ (@ tptp.insert_nat (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.rat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_rat (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.int)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_int (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_nat (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_Product_unit (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat Bool)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_o F))) (= (@ _let_1 (@ (@ tptp.insert_nat A) B5)) (@ (@ tptp.insert_o (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_875570014554754200it_nat F))) (= (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5)) (@ (@ tptp.insert_nat (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (= (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5)) (@ (@ tptp.insert_Product_unit (@ F A)) (@ _let_1 B5))))) (forall ((F (-> tptp.product_unit Bool)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_Product_unit_o F))) (= (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5)) (@ (@ tptp.insert_o (@ F A)) (@ _let_1 B5))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.insert_nat (@ F X2)) _let_1) _let_1)))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.insert_Product_unit (@ F X2)) _let_1) _let_1)))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool Bool))) (let ((_let_1 (@ (@ tptp.image_o_o F) A4))) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.insert_o (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (let ((_let_1 (@ (@ tptp.image_nat_rat F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_rat (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_int (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_nat (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_Product_unit (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat Bool))) (let ((_let_1 (@ (@ tptp.image_nat_o F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.insert_o (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.insert_int (@ F X2)) _let_1) _let_1)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.insert_nat (@ F X2)) _let_1) _let_1)))) (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ tptp.complete_Sup_Sup_nat A4))) (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((X4 tptp.set_nat)) X4)) A4)) (@ tptp.comple7399068483239264473et_nat A4))) (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ tptp.complete_Sup_Sup_int A4))) (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) X4)) A4)) (@ tptp.comple4687483117567863418t_unit A4))) (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) X4)) A4)) (@ tptp.complete_Inf_Inf_nat A4))) (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((X4 tptp.set_nat)) X4)) A4)) (@ tptp.comple7806235888213564991et_nat A4))) (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) X4)) A4)) (@ tptp.complete_Inf_Inf_int A4))) (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) X4)) A4)) (@ tptp.comple2584293577114468500t_unit A4))) (forall ((A Bool) (A4 tptp.set_o) (B Bool) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member_o A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4))))))) (forall ((A Bool) (A4 tptp.set_o) (B tptp.int) (B5 (-> Bool tptp.set_int))) (let ((_let_1 (@ tptp.member_int B))) (=> (@ (@ tptp.member_o A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4))))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B Bool) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) A4))))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.int) (B5 (-> tptp.nat tptp.set_int))) (let ((_let_1 (@ tptp.member_int B))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4))))))) (forall ((A tptp.int) (A4 tptp.set_int) (B Bool) (B5 (-> tptp.int tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member_int A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4))))))) (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B5 (-> tptp.int tptp.set_int))) (let ((_let_1 (@ tptp.member_int B))) (=> (@ (@ tptp.member_int A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4))))))) (forall ((A Bool) (A4 tptp.set_o) (B tptp.nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ (@ tptp.member_o A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ (@ tptp.member_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))))) (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ (@ tptp.member_int A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))))))) (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B Bool) (B5 (-> tptp.product_prod_nat_nat tptp.set_o))) (let ((_let_1 (@ tptp.member_o B))) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (@ _let_1 (@ B5 A)) (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_501298686397505212_set_o B5) A4))))))) (forall ((A4 tptp.set_o) (B Bool) (B5 (-> Bool tptp.set_o))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4))))) (forall ((A4 tptp.set_o) (B tptp.int) (B5 (-> Bool tptp.set_int))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_int B) (@ B5 X)))) (@ (@ tptp.member_int B) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))))) (forall ((A4 tptp.set_nat) (B Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4))))) (forall ((A4 tptp.set_nat) (B tptp.int) (B5 (-> tptp.nat tptp.set_int))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_int B) (@ B5 X)))) (@ (@ tptp.member_int B) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))))) (forall ((A4 tptp.set_int) (B Bool) (B5 (-> tptp.int tptp.set_o))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4))))) (forall ((A4 tptp.set_int) (B tptp.int) (B5 (-> tptp.int tptp.set_int))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_int B) (@ B5 X)))) (@ (@ tptp.member_int B) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))))) (forall ((A4 tptp.set_o) (B tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.member_nat B) (@ B5 X)))) (@ (@ tptp.member_nat B) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))))) (forall ((A4 tptp.set_nat) (B tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.member_nat B) (@ B5 X)))) (@ (@ tptp.member_nat B) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))) (forall ((A4 tptp.set_int) (B tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.member_nat B) (@ B5 X)))) (@ (@ tptp.member_nat B) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B Bool) (B5 (-> tptp.product_prod_nat_nat tptp.set_o))) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.member_o B) (@ B5 X)))) (@ (@ tptp.member_o B) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_501298686397505212_set_o B5) A4))))) (forall ((A4 tptp.set_o)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ tptp.complete_Sup_Sup_o A4))) (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ tptp.complete_Sup_Sup_nat A4))) (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat tptp.id_set_nat) A4)) (@ tptp.comple7399068483239264473et_nat A4))) (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ tptp.complete_Sup_Sup_int A4))) (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit tptp.id_Product_unit) A4)) (@ tptp.comple4687483117567863418t_unit A4))) (forall ((A4 tptp.set_o)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_o_o tptp.id_o) A4)) (@ tptp.complete_Inf_Inf_o A4))) (forall ((A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat tptp.id_nat) A4)) (@ tptp.complete_Inf_Inf_nat A4))) (forall ((A4 tptp.set_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat tptp.id_set_nat) A4)) (@ tptp.comple7806235888213564991et_nat A4))) (forall ((A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int tptp.id_int) A4)) (@ tptp.complete_Inf_Inf_int A4))) (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit tptp.id_Product_unit) A4)) (@ tptp.comple2584293577114468500t_unit A4))) (forall ((A4 tptp.set_Product_unit) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) F)) A4)) F))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))) (forall ((A4 tptp.set_o) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) F)) A4)) F))) (forall ((A4 tptp.set_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) F)) A4)) F))) (forall ((A4 tptp.set_Product_unit) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) F)) A4)) F))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))) (forall ((A4 tptp.set_o) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) F)) A4)) F))) (forall ((A4 tptp.set_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) F)) A4)) F))) (forall ((A4 tptp.set_Product_unit) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) F)) A4)) F))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))) (forall ((A4 tptp.set_o) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) F)) A4)) F))) (forall ((A4 tptp.set_nat) (F tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) F)) A4)) F))) (forall ((A4 tptp.set_Product_unit) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) F)) A4)) F))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit (lambda ((I2 tptp.produc3843707927480180839at_nat)) F)) A4)) F))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) F)) A4)) F))) (forall ((A4 tptp.set_o) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) F)) A4)) F))) (forall ((A4 tptp.set_nat) (F tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) F)) A4)) F))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((C3 tptp.set_Product_unit) (A tptp.product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A Bool) (B5 (-> tptp.product_unit tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) C3)))))))) (forall ((C3 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) C3)))))))) (forall ((C3 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) C3)))))))) (forall ((C3 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) C3)))))))) (forall ((C3 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A tptp.nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))) (forall ((C3 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3)))))))) (forall ((C3 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A tptp.product_prod_nat_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ B5 X4)))) C3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ B5 X4)))) C3)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3)))))))) (forall ((A4 tptp.set_Product_unit)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit X4) tptp.bot_bo3957492148770167129t_unit))) A4)) A4)) (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_7364710425340685989at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.insert9069300056098147895at_nat X4) tptp.bot_bo228742789529271731at_nat))) A4)) A4)) (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.insert8211810215607154385at_nat X4) tptp.bot_bo2099793752762293965at_nat))) A4)) A4)) (forall ((A4 tptp.set_o)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o X4) tptp.bot_bot_set_o))) A4)) A4)) (forall ((A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat X4) tptp.bot_bot_set_nat))) A4)) A4)) (forall ((X2 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.refl_o6272981002401706822at_nat (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) X2)) tptp.bot_bo4948859079157340979at_nat))) (forall ((X2 tptp.int)) (@ (@ tptp.refl_on_int (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X2) X2)) tptp.bot_bo1796632182523588997nt_int))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.refl_o6955724340487615712at_nat (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) X2)) tptp.bot_bo228742789529271731at_nat))) (forall ((X2 tptp.product_unit)) (@ (@ tptp.refl_on_Product_unit (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit X2) X2)) tptp.bot_bo1654022762305692595t_unit))) (forall ((X2 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.refl_o7446464703481863270at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) X2)) tptp.bot_bo7193250159860175667at_nat))) (forall ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.refl_o7122697186039111552at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) X2)) tptp.bot_bo5327735625951526323at_nat))) (forall ((X2 Bool)) (@ (@ tptp.refl_on_o (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o X2) X2)) tptp.bot_bo7073875226086086771od_o_o))) (forall ((X2 tptp.nat)) (@ (@ tptp.refl_on_nat (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X2) X2)) tptp.bot_bo2099793752762293965at_nat))) (forall ((U Bool) (A4 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))))) (forall ((U Bool) (A4 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4)))))) (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) A4)))))) (forall ((U tptp.nat) (A4 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4)))))) (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.product_unit) (B5 (-> tptp.int tptp.set_Product_unit))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_8658272795163236474t_unit (lambda ((X4 tptp.int)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))))) (forall ((U tptp.int) (A4 tptp.set_int) (A Bool) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o (lambda ((X4 tptp.int)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4)))))) (forall ((U Bool) (A4 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4)))))) (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))) (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4)))))) (forall ((U tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_unit) (B5 (-> tptp.product_prod_nat_nat tptp.set_Product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat U) A4) (= (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_121980125215734065t_unit (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple7216939928495492468t_unit (@ (@ tptp.image_121980125215734065t_unit B5) A4)))))) (forall ((U Bool) (A4 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))))) (forall ((U Bool) (A4 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4)))))) (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) A4)))))) (forall ((U tptp.nat) (A4 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) A4)))))) (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.product_unit) (B5 (-> tptp.int tptp.set_Product_unit))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit (lambda ((X4 tptp.int)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))))) (forall ((U tptp.int) (A4 tptp.set_int) (A Bool) (B5 (-> tptp.int tptp.set_o))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o (lambda ((X4 tptp.int)) (@ (@ tptp.insert_o A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_o A) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4)))))) (forall ((U Bool) (A4 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o U) A4) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4)))))) (forall ((U tptp.nat) (A4 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat U) A4) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))) (forall ((U tptp.int) (A4 tptp.set_int) (A tptp.nat) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int U) A4) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_nat A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4)))))) (forall ((U tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (A tptp.product_unit) (B5 (-> tptp.product_prod_nat_nat tptp.set_Product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat U) A4) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_121980125215734065t_unit (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) A4)) (@ (@ tptp.insert_Product_unit A) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_121980125215734065t_unit B5) A4)))))) (forall ((X5 tptp.set_set_nat) (B5 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ tptp.comple7399068483239264473et_nat X5)) B5) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_6521575952113991828at_nat (lambda ((A6 tptp.set_nat)) (@ (@ tptp.produc457027306803732586at_nat A6) B5))) X5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat C3) A4)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat C3) A4)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat D) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.int)) (D (-> Bool tptp.int))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int C3) A4)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int C3) A4)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int C3) A4)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int D) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.product_unit)) (D (-> Bool tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit C3) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.product_unit)) (D (-> tptp.nat tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit C3) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.product_unit)) (D (-> tptp.int tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit C3) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit D) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.set_nat)) (D (-> Bool tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat C3) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat C3) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.nat)) (D (-> tptp.nat tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat C3) A4)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.nat)) (D (-> tptp.int tptp.nat))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat C3) A4)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat D) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.int)) (D (-> Bool tptp.int))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int C3) A4)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.int)) (D (-> tptp.nat tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int C3) A4)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.int)) (D (-> tptp.int tptp.int))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int C3) A4)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int D) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.product_unit)) (D (-> Bool tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit C3) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.product_unit)) (D (-> tptp.nat tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit C3) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit D) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (C3 (-> tptp.int tptp.product_unit)) (D (-> tptp.int tptp.product_unit))) (=> (= A4 B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit C3) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit D) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (C3 (-> Bool tptp.set_nat)) (D (-> Bool tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat C3) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat D) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat)) (D (-> tptp.nat tptp.set_nat))) (=> (= A4 B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (= (@ C3 X) (@ D X)))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat C3) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat D) B5)))))) (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (X5 tptp.set_Product_unit)) (=> (@ (@ tptp.member_Product_unit X2) A4) (=> (@ (@ tptp.ord_le3507040750410214029t_unit X5) A4) (@ (@ tptp.ord_le3507040750410214029t_unit (@ (@ tptp.insert_Product_unit X2) X5)) A4)))) (forall ((X2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (X5 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X2) A4) (=> (@ (@ tptp.ord_le1268244103169919719at_nat X5) A4) (@ (@ tptp.ord_le1268244103169919719at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) X5)) A4)))) (forall ((X2 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (X5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X2) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat X5) A4) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) X5)) A4)))) (forall ((X2 Bool) (A4 tptp.set_o) (X5 tptp.set_o)) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_set_o X5) A4) (@ (@ tptp.ord_less_eq_set_o (@ (@ tptp.insert_o X2) X5)) A4)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (X5 tptp.set_nat)) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_less_eq_set_nat X5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.insert_nat X2) X5)) A4)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (X5 tptp.set_int)) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_less_eq_set_int X5) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.insert_int X2) X5)) A4)))) (forall ((C3 tptp.set_Product_unit) (A tptp.product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit))) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ _let_1 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) (=> (not _let_3) (= _let_2 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_Product_unit) (A Bool) (B5 (-> tptp.product_unit tptp.set_o))) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_o))) (=> (not _let_3) (= _let_2 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_o) (A tptp.product_unit) (B5 (-> Bool tptp.set_Product_unit))) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ _let_1 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_o))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) (=> (not _let_3) (= _let_2 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_o) (A Bool) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_o))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_o))) (=> (not _let_3) (= _let_2 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_nat) (A tptp.product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ _let_1 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) (=> (not _let_3) (= _let_2 (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_Product_unit A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_nat) (A Bool) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ _let_1 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_o))) (=> (not _let_3) (= _let_2 (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_o A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_Product_unit) (A tptp.nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_o) (A tptp.nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_o))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_nat) (A tptp.nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bot_set_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat A) (@ B5 X4)))) C3))))))))) (forall ((C3 tptp.set_Product_unit) (A tptp.product_prod_nat_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.insert8211810215607154385at_nat A))) (let ((_let_2 (@ _let_1 (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3))))) (let ((_let_3 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_3 (= _let_2 (@ _let_1 tptp.bot_bo2099793752762293965at_nat))) (=> (not _let_3) (= _let_2 (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.insert8211810215607154385at_nat A) (@ B5 X4)))) C3))))))))) _let_159 _let_158 _let_157 _let_156 _let_155 (forall ((E2 (-> tptp.nat tptp.set_nat)) (F4 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat (@ tptp.produc8197505143624133779at_nat (lambda ((A5 tptp.nat) (B4 tptp.nat)) (@ (@ tptp.produc457027306803732586at_nat (@ E2 A5)) (lambda ((Uu tptp.nat)) (@ F4 B4)))))) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5)))) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat E2) A4))) (lambda ((Uu tptp.nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F4) B5)))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (B5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.right_4094035864313884895at_nat A4) (=> (@ tptp.right_1157779049177982926at_int B5) (@ tptp.right_1157779049177982926at_int (@ (@ tptp.relcom8911704206367525917at_int A4) B5))))) (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.right_total_int_int A4) (=> (@ tptp.right_7281159819619925802nteger B5) (@ tptp.right_7281159819619925802nteger (@ (@ tptp.relcom967497705283160040nteger A4) B5))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) A)) R)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) A)) R)))) (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (A Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) A)) R)))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) A)) R)))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) A)) R)))) (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) A)) R)))) (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (A tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) A)) R)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) Y3)) R) (@ (@ tptp.member8757157785044589968at_nat X2) A4)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) R) (@ (@ tptp.member8440522571783428010at_nat X2) A4)))) (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (X2 Bool) (Y3 Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X2) Y3)) R) (@ (@ tptp.member_o X2) A4)))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) R) (@ (@ tptp.member6273874620674182256at_nat X2) A4)))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) R) (@ (@ tptp.member2643936169264416010at_nat X2) A4)))) (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (X2 tptp.nat) (Y3 tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) R) (@ (@ tptp.member_nat X2) A4)))) (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (X2 tptp.int) (Y3 tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) R) (@ (@ tptp.member_int X2) A4)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) Y3)) R) (@ (@ tptp.member8757157785044589968at_nat Y3) A4)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) R) (@ (@ tptp.member8440522571783428010at_nat Y3) A4)))) (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (X2 Bool) (Y3 Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X2) Y3)) R) (@ (@ tptp.member_o Y3) A4)))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) R) (@ (@ tptp.member6273874620674182256at_nat Y3) A4)))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) R) (@ (@ tptp.member2643936169264416010at_nat Y3) A4)))) (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (X2 tptp.nat) (Y3 tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) R) (@ (@ tptp.member_nat Y3) A4)))) (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (X2 tptp.int) (Y3 tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X2) Y3)) R) (@ (@ tptp.member_int Y3) A4)))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((Y5 tptp.set_nat)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) Y5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) (@ tptp.comple7399068483239264473et_nat A4))))) _let_154 _let_153 _let_152 (= tptp.id_on_nat (lambda ((A6 tptp.set_nat)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X4) X4)) tptp.bot_bo2099793752762293965at_nat))) A6)))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_15824709712370754et_nat F) A4))) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_nat_set_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat _let_1))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (=> (not (= A4 tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (=> (not (= A4 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit _let_1))))) (forall ((A4 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (B5 (-> tptp.product_prod_nat_nat tptp.int Bool))) (=> (@ tptp.right_1383565826979811350at_nat A4) (=> (@ tptp.right_8621877368619751767at_int B5) (@ tptp.right_8621877368619751767at_int (@ (@ tptp.relcom8911704206367525917at_int A4) B5))))) (forall ((A4 (-> tptp.int tptp.int Bool)) (B5 (-> tptp.int tptp.code_integer Bool))) (=> (@ tptp.right_unique_int_int A4) (=> (@ tptp.right_8475562212078014689nteger B5) (@ tptp.right_8475562212078014689nteger (@ (@ tptp.relcom967497705283160040nteger A4) B5))))) (forall ((B Bool) (B5 (-> Bool tptp.set_o)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))) (forall ((B Bool) (B5 (-> tptp.nat tptp.set_o)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_nat A) A4)))))) (forall ((B Bool) (B5 (-> tptp.int tptp.set_o)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_int A) A4)))))) (forall ((B tptp.int) (B5 (-> Bool tptp.set_int)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))) (forall ((B tptp.int) (B5 (-> tptp.nat tptp.set_int)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_nat A) A4)))))) (forall ((B tptp.int) (B5 (-> tptp.int tptp.set_int)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_int A) A4)))))) (forall ((B tptp.nat) (B5 (-> Bool tptp.set_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))) (forall ((B tptp.nat) (B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_nat A) A4)))))) (forall ((B tptp.nat) (B5 (-> tptp.int tptp.set_nat)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_int A) A4)))))) (forall ((B tptp.product_prod_nat_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat B))) (=> (@ _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4))) (=> (not (@ _let_1 (@ B5 A))) (not (@ (@ tptp.member_o A) A4)))))) (forall ((B Bool) (B5 (-> Bool tptp.set_o)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_o_set_o B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B Bool) (B5 (-> tptp.nat tptp.set_o)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_nat_set_o B5) A4))) (=> (@ (@ tptp.member_nat A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B Bool) (B5 (-> tptp.int tptp.set_o)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_o B))) (=> (@ _let_1 (@ tptp.comple3063163877087187839_set_o (@ (@ tptp.image_int_set_o B5) A4))) (=> (@ (@ tptp.member_int A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.int) (B5 (-> Bool tptp.set_int)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.int) (B5 (-> tptp.nat tptp.set_int)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (=> (@ (@ tptp.member_nat A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.int) (B5 (-> tptp.int tptp.set_int)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_int B))) (=> (@ _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (=> (@ (@ tptp.member_int A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.nat) (B5 (-> Bool tptp.set_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.nat) (B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (=> (@ (@ tptp.member_nat A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.nat) (B5 (-> tptp.int tptp.set_nat)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ tptp.member_nat B))) (=> (@ _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (=> (@ (@ tptp.member_int A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B tptp.product_prod_nat_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ tptp.member8440522571783428010at_nat B))) (=> (@ _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4))) (=> (@ (@ tptp.member_o A) A4) (@ _let_1 (@ B5 A)))))) (forall ((B Bool) (B5 (-> Bool tptp.set_o)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_o B) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member_o B) (@ B5 X)))))))) (forall ((B Bool) (B5 (-> tptp.nat tptp.set_o)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_o B) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) A4))) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (@ (@ tptp.member_o B) (@ B5 X)))))))) (forall ((B Bool) (B5 (-> tptp.int tptp.set_o)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_o B) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4))) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (@ (@ tptp.member_o B) (@ B5 X)))))))) (forall ((B tptp.int) (B5 (-> Bool tptp.set_int)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_int B) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member_int B) (@ B5 X)))))))) (forall ((B tptp.int) (B5 (-> tptp.nat tptp.set_int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_int B) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4))) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (@ (@ tptp.member_int B) (@ B5 X)))))))) (forall ((B tptp.int) (B5 (-> tptp.int tptp.set_int)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_int B) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4))) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (@ (@ tptp.member_int B) (@ B5 X)))))))) (forall ((B tptp.nat) (B5 (-> Bool tptp.set_nat)) (A4 tptp.set_o)) (=> (@ (@ tptp.member_nat B) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member_nat B) (@ B5 X)))))))) (forall ((B tptp.nat) (B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.member_nat B) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (not (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (@ (@ tptp.member_nat B) (@ B5 X)))))))) (forall ((B tptp.nat) (B5 (-> tptp.int tptp.set_nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.member_nat B) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (not (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (@ (@ tptp.member_nat B) (@ B5 X)))))))) (forall ((B tptp.product_prod_nat_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_o)) (=> (@ (@ tptp.member8440522571783428010at_nat B) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4))) (not (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (@ (@ tptp.member8440522571783428010at_nat B) (@ B5 X)))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_rat (@ F X4)) tptp.bot_bot_set_rat))) A4)) (@ (@ tptp.image_nat_rat F) A4))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_int (@ F X4)) tptp.bot_bot_set_int))) A4)) (@ (@ tptp.image_nat_int F) A4))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.insert_int (@ F X4)) tptp.bot_bot_set_int))) A4)) (@ (@ tptp.image_int_int F) A4))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.insert_nat (@ F X4)) tptp.bot_bot_set_nat))) A4)) (@ (@ tptp.image_nat_nat F) A4))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.insert_nat (@ F X4)) tptp.bot_bot_set_nat))) A4)) (@ (@ tptp.image_int_nat F) A4))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (G (-> Bool tptp.product_unit)) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_o) (G (-> Bool tptp.product_unit)) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_o) (G (-> Bool tptp.product_unit)) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X6)) (@ F I4)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X6)) (@ G J2)))))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (G (-> Bool tptp.set_nat)) (F (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_less_eq_set_nat (@ G X6)) (@ F I4)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X6)) (@ G J2)))))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_nat) (F (-> Bool tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_int) (F (-> Bool tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_o) (F (-> tptp.nat tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_o) (F (-> tptp.int tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.nat)) (=> (@ (@ tptp.member_nat J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) (@ G X6)))))) (=> (forall ((J2 tptp.int)) (=> (@ (@ tptp.member_int J2) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G J2)) (@ F X6)))))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) (@ G X6)))))) (=> (forall ((J2 Bool)) (=> (@ (@ tptp.member_o J2) B5) (exists ((X6 Bool)) (and (@ (@ tptp.member_o X6) A4) (@ (@ tptp.ord_less_eq_set_nat (@ G J2)) (@ F X6)))))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat G) B5)))))) (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) X2)))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3)) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) X2)))) (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) I3)) X2)))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3)) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3)) X2)))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) X2)))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) X2)))) (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) X2)))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) I3)) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) X2)))) (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) I3)) X2)))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) I3)) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) I3)) X2)))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) X2)))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (= (@ F I4) X2))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) X2)))) (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ tptp.complete_Inf_Inf_o (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))) (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))) (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_int_nat_nat G) F)) A4)))) (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4)))) (forall ((G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_nat_int_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (@ (@ tptp.comp_nat_int_int G) F)) A4)))) (forall ((G (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_int_int_nat G) F)) A4)))) (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_o_o G) (@ (@ tptp.image_nat_o F) A4))) (@ tptp.complete_Sup_Sup_o (@ (@ tptp.image_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))) (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_rat_nat G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_rat_nat_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_nat_nat_int G) F)) A4)))) (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (@ (@ tptp.comp_int_nat_nat G) F)) A4)))) (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat G) (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4)))) (forall ((G (-> tptp.rat tptp.int)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_rat_int G) (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_rat_int_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_nat_int_nat G) F)) A4)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int G) (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (@ (@ tptp.comp_nat_int_int G) F)) A4)))) (forall ((G (-> tptp.int tptp.int)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int G) (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (@ (@ tptp.comp_int_int_nat G) F)) A4)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.set_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))))) (forall ((A4 tptp.set_o) (U tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))))) (forall ((A4 tptp.set_nat) (U tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))))) (forall ((A4 tptp.set_int) (U tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat U) (@ F I4)))) (@ (@ tptp.ord_less_eq_set_nat U) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.product_unit) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))))) (forall ((A4 tptp.set_o) (U tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))))) (forall ((A4 tptp.set_nat) (U tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))) (forall ((A4 tptp.set_int) (U tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F I4)))) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) U)))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) U)))) (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member_o I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))) U)))) (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member_nat I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))) U)))) (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (U tptp.set_nat)) (=> (@ (@ tptp.member_int I) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F I)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))) U)))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) U)))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) U)))) (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member_o I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))) U)))) (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member_nat I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) U)))) (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (U tptp.product_unit)) (=> (@ (@ tptp.member_int I) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) U)))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ F I)))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ F I)))) (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ F I)))) (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ F I)))) (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ F I)))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (@ F I)))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (@ F I)))) (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ F I)))) (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ F I)))) (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ F I)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.set_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4)) X2)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4)) X2)))) (forall ((A4 tptp.set_o) (X2 tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4)) X2)))) (forall ((A4 tptp.set_nat) (X2 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4)) X2)))) (forall ((A4 tptp.set_int) (X2 tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat X2) (@ F I4)))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_less_eq_set_nat Y) (@ F I5)))) (@ (@ tptp.ord_less_eq_set_nat Y) X2))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4)) X2)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (X2 tptp.product_unit) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4)) X2)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) X2)))) (forall ((A4 tptp.set_o) (X2 tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4)) X2)))) (forall ((A4 tptp.set_nat) (X2 tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) X2)))) (forall ((A4 tptp.set_int) (X2 tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit X2) (@ F I4)))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit Y) (@ F I5)))) (@ (@ tptp.ord_le3221252021190050221t_unit Y) X2))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) X2)))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.set_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))))))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))))))) (forall ((I Bool) (A4 tptp.set_o) (U tptp.set_nat) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member_o I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))))))) (forall ((I tptp.nat) (A4 tptp.set_nat) (U tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))))))) (forall ((I tptp.int) (A4 tptp.set_int) (U tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.ord_less_eq_set_nat U))) (=> (@ (@ tptp.member_int I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))))))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (U tptp.product_unit) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))))))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (U tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))))))) (forall ((I Bool) (A4 tptp.set_o) (U tptp.product_unit) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member_o I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))))))) (forall ((I tptp.nat) (A4 tptp.set_nat) (U tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member_nat I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))))) (forall ((I tptp.int) (A4 tptp.set_int) (U tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ (@ tptp.member_int I) A4) (=> (@ _let_1 (@ F I)) (@ _let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))))) (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))))) (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))))) (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))))) (forall ((I tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.member8757157785044589968at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))))) (forall ((I tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.member8440522571783428010at_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))))) (forall ((I Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (=> (@ (@ tptp.member_o I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))))) (forall ((I tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.member_nat I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))) (forall ((I tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.member_int I) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) U))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) U))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))) U))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))) U))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (U tptp.set_nat)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) U))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))) U))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) U))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) U))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))) U))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) U))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (U tptp.product_unit)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) U))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) U))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4)) X2)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4)) X2)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4)) X2)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4)) X2)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (X2 tptp.set_nat)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) X2))) (=> (forall ((Y tptp.set_nat)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F I5)) Y))) (@ (@ tptp.ord_less_eq_set_nat X2) Y))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4)) X2)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4)) X2)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) X2)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 Bool)) (=> (@ (@ tptp.member_o I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4)) X2)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.member_nat I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) X2)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (X2 tptp.product_unit)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) X2))) (=> (forall ((Y tptp.product_unit)) (=> (forall ((I5 tptp.int)) (=> (@ (@ tptp.member_int I5) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I5)) Y))) (@ (@ tptp.ord_le3221252021190050221t_unit X2) Y))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) X2)))) (forall ((B5 (-> tptp.rat tptp.set_nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_rat_set_nat B5) (@ (@ tptp.image_nat_rat F) A4))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_nat_nat F) A4))))) (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_nat_int F) A4))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_int_nat F) A4))))) (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_int_int F) A4))))) (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))) (@ B5 A)))) (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))) (@ B5 A)))) (forall ((A Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (@ B5 A)))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (@ B5 A)))) (forall ((A tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))) (@ B5 A)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (C3 tptp.set_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))))) (forall ((A4 tptp.set_o) (C3 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))))) (forall ((A4 tptp.set_nat) (C3 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))) (forall ((A4 tptp.set_int) (C3 tptp.set_nat) (B5 (-> tptp.int tptp.set_nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat C3) (@ B5 X)))) (@ (@ tptp.ord_less_eq_set_nat C3) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat B5) A4))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat G) A4)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat G) A4)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat G) A4)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat G) A4)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) B5))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat G) A4)))))) (forall ((A4 tptp.set_int) (C tptp.int)) (let ((_let_1 (= A4 tptp.bot_bot_set_int))) (and (=> _let_1 (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4) tptp.bot_bot_set_int)) (=> (not _let_1) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))))) (forall ((A4 tptp.set_int) (C tptp.nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_int))) (and (=> _let_1 (= (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))) (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))) (forall ((A4 tptp.set_Product_unit) (C Bool)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ (@ tptp.image_Product_unit_o (lambda ((X4 tptp.product_unit)) C)) A4) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ (@ tptp.image_Product_unit_o (lambda ((X4 tptp.product_unit)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))) (forall ((A4 tptp.set_Product_unit) (C tptp.nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) C)) A4) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))) (forall ((A4 tptp.set_o) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))))) (forall ((A4 tptp.set_o) (C Bool)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ (@ tptp.image_o_o (lambda ((X4 Bool)) C)) A4) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ (@ tptp.image_o_o (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))))) (forall ((A4 tptp.set_o) (C tptp.nat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) C)) A4) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))))) (forall ((A4 tptp.set_nat) (C tptp.rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) C)) A4) tptp.bot_bot_set_rat)) (=> (not _let_1) (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_rat C) tptp.bot_bot_set_rat)))))) (forall ((A4 tptp.set_nat) (C tptp.int)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4) tptp.bot_bot_set_int)) (=> (not _let_1) (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C tptp.rat)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_rat C) tptp.bot_bot_set_rat)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C tptp.int)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (C tptp.int)) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_int C) tptp.bot_bot_set_int)))) (forall ((X2 Bool) (A4 tptp.set_o) (C tptp.product_unit)) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C tptp.product_unit)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (C tptp.product_unit)) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_Product_unit C) tptp.bot_bo3957492148770167129t_unit)))) (forall ((X2 Bool) (A4 tptp.set_o) (C Bool)) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.image_o_o (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (C Bool)) (=> (@ (@ tptp.member_nat X2) A4) (= (@ (@ tptp.image_nat_o (lambda ((X4 tptp.nat)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))) (forall ((X2 tptp.int) (A4 tptp.set_int) (C Bool)) (=> (@ (@ tptp.member_int X2) A4) (= (@ (@ tptp.image_int_o (lambda ((X4 tptp.int)) C)) A4) (@ (@ tptp.insert_o C) tptp.bot_bot_set_o)))) (forall ((X2 Bool) (A4 tptp.set_o) (C tptp.nat)) (=> (@ (@ tptp.member_o X2) A4) (= (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) C)) A4) (@ (@ tptp.insert_nat C) tptp.bot_bot_set_nat)))) (forall ((B5 (-> tptp.rat tptp.set_nat)) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_rat_set_nat B5) (@ (@ tptp.image_nat_rat F) A4))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_nat_nat F) A4))))) (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((A5 tptp.nat)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_nat_int F) A4))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) (@ (@ tptp.image_int_nat F) A4))))) (forall ((B5 (-> tptp.int tptp.set_nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (lambda ((A5 tptp.int)) (@ B5 (@ F A5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) (@ (@ tptp.image_int_int F) A4))))) (forall ((B5 (-> tptp.product_unit tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bo3957492148770167129t_unit)) (forall ((B5 (-> tptp.product_unit tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_o)) (forall ((B5 (-> Bool tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) tptp.bot_bot_set_o)) tptp.bot_bo3957492148770167129t_unit)) (forall ((B5 (-> Bool tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) tptp.bot_bot_set_o)) tptp.bot_bot_set_o)) (forall ((B5 (-> tptp.nat tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) tptp.bot_bot_set_nat)) tptp.bot_bo3957492148770167129t_unit)) (forall ((B5 (-> tptp.nat tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) tptp.bot_bot_set_nat)) tptp.bot_bot_set_o)) (forall ((B5 (-> tptp.product_unit tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_nat)) (forall ((B5 (-> Bool tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) tptp.bot_bot_set_o)) tptp.bot_bot_set_nat)) (forall ((B5 (-> tptp.nat tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) tptp.bot_bot_set_nat)) tptp.bot_bot_set_nat)) (forall ((B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bo2099793752762293965at_nat)) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat G) B5)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat G) B5)))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))) C3))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))) C3))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))) C3))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) C3))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat)) (C3 tptp.set_nat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))) C3))) (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4))))) (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))))) (forall ((A Bool) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ (@ tptp.member_o A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.member_nat A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))))) (forall ((A tptp.int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.member_int A) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4))))) (forall ((F (-> tptp.int tptp.int))) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ (@ tptp.comp_s8709038167382007543et_int tptp.comple3221217463730067765et_int) (@ tptp.image_524474410958335435et_int _let_1)) (@ (@ tptp.comp_s2487324123861929025et_int _let_1) tptp.comple3221217463730067765et_int)))) (forall ((F (-> tptp.nat tptp.rat))) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ (@ tptp.comp_s703482200030188019et_nat tptp.comple3890839924845867745et_rat) (@ tptp.image_4408659257933336347et_rat _let_1)) (@ (@ tptp.comp_s6435139744279249717et_nat _let_1) tptp.comple7399068483239264473et_nat)))) (forall ((F (-> tptp.nat tptp.int))) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ (@ tptp.comp_s1975749275458958491et_nat tptp.comple3221217463730067765et_int) (@ tptp.image_3739036796817536367et_int _let_1)) (@ (@ tptp.comp_s3768223441818958217et_nat _let_1) tptp.comple7399068483239264473et_nat)))) (forall ((F (-> tptp.int tptp.nat))) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ (@ tptp.comp_s6907669228194913343et_int tptp.comple7399068483239264473et_nat) (@ tptp.image_4702325430467532143et_nat _let_1)) (@ (@ tptp.comp_s5712175470073906149et_int _let_1) tptp.comple3221217463730067765et_int)))) (forall ((F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ (@ tptp.comp_s174380336271864291et_nat tptp.comple7399068483239264473et_nat) (@ tptp.image_7916887816326733075et_nat _let_1)) (@ (@ tptp.comp_s6993074788030935341et_nat _let_1) tptp.comple7399068483239264473et_nat)))) (forall ((F (-> tptp.int tptp.int)) (S5 tptp.set_set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ tptp.comple3221217463730067765et_int S5)) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_524474410958335435et_int _let_1) S5))))) (forall ((F (-> tptp.int tptp.nat)) (S5 tptp.set_set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ tptp.comple3221217463730067765et_int S5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_4702325430467532143et_nat _let_1) S5))))) (forall ((F (-> tptp.nat tptp.rat)) (S5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat S5)) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_4408659257933336347et_rat _let_1) S5))))) (forall ((F (-> tptp.nat tptp.int)) (S5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat S5)) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3739036796817536367et_int _let_1) S5))))) (forall ((F (-> tptp.nat tptp.nat)) (S5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat S5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) S5))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (A4 tptp.set_set_nat)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((Y5 tptp.set_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) Y5)))) A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) (@ tptp.comple7399068483239264473et_nat A4))))) (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (C tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F I4)) C))) (= (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (C tptp.set_nat)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat (@ F I4)) C))) (= (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_int) (C tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Product_unit) (C tptp.product_unit) (F (-> tptp.product_unit tptp.product_unit))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_o) (C tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_nat) (C tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_int) (C tptp.set_nat) (F (-> tptp.int tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_int)) (=> (forall ((I4 tptp.int)) (=> (@ (@ tptp.member_int I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) I3)) C) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Product_unit) (C tptp.set_nat) (F (-> tptp.product_unit tptp.set_nat))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((I4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)) C) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_o) (C tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_o)) (=> (forall ((I4 Bool)) (=> (@ (@ tptp.member_o I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) I3)) C) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_nat) (C tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_nat)) (=> (forall ((I4 tptp.nat)) (=> (@ (@ tptp.member_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) I3)) C) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (C tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_le3221252021190050221t_unit C) (@ F I4)))) (= (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (C tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (=> (forall ((I4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat I4) I3) (@ (@ tptp.ord_less_eq_set_nat C) (@ F I4)))) (= (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) I3)) C) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (= (@ F X4) C))))))) (forall ((F (-> tptp.char tptp.product_unit)) (A tptp.product_unit) (X2 tptp.char)) (=> (= (@ (@ tptp.image_4337914935673063477t_unit F) tptp.top_top_set_char) (@ (@ tptp.insert_Product_unit A) tptp.bot_bo3957492148770167129t_unit)) (= (@ F X2) A))) (forall ((F (-> tptp.char Bool)) (A Bool) (X2 tptp.char)) (=> (= (@ (@ tptp.image_char_o F) tptp.top_top_set_char) (@ (@ tptp.insert_o A) tptp.bot_bot_set_o)) (= (@ F X2) A))) (forall ((F (-> tptp.char tptp.nat)) (A tptp.nat) (X2 tptp.char)) (=> (= (@ (@ tptp.image_char_nat F) tptp.top_top_set_char) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)) (= (@ F X2) A))) (forall ((F (-> tptp.rat tptp.product_unit)) (A tptp.product_unit) (X2 tptp.rat)) (=> (= (@ (@ tptp.image_2327579789247107822t_unit F) tptp.top_top_set_rat) (@ (@ tptp.insert_Product_unit A) tptp.bot_bo3957492148770167129t_unit)) (= (@ F X2) A))) (forall ((F (-> tptp.rat Bool)) (A Bool) (X2 tptp.rat)) (=> (= (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat) (@ (@ tptp.insert_o A) tptp.bot_bot_set_o)) (= (@ F X2) A))) (forall ((F (-> tptp.rat tptp.nat)) (A tptp.nat) (X2 tptp.rat)) (=> (= (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat) (@ (@ tptp.insert_nat A) tptp.bot_bot_set_nat)) (= (@ F X2) A))) (forall ((F (-> tptp.nat tptp.rat)) (A tptp.rat) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat) (@ (@ tptp.insert_rat A) tptp.bot_bot_set_rat)) (= (@ F X2) A))) (forall ((F (-> tptp.nat tptp.int)) (A tptp.int) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat) (@ (@ tptp.insert_int A) tptp.bot_bot_set_int)) (= (@ F X2) A))) (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.product_unit) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_8730104196221521654t_unit F) tptp.top_top_set_nat) (@ (@ tptp.insert_Product_unit A) tptp.bot_bo3957492148770167129t_unit)) (= (@ F X2) A))) (forall ((F (-> tptp.nat Bool)) (A Bool) (X2 tptp.nat)) (=> (= (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat) (@ (@ tptp.insert_o A) tptp.bot_bot_set_o)) (= (@ F X2) A))) (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat B5) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat G) B5)))))) (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat G) B5)))))) (forall ((B5 tptp.set_o) (A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o B5) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat G) B5)))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat B5) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat G) B5)))))) (forall ((B5 tptp.set_int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int B5) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat G) B5)))))) (forall ((B5 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (G (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat B5) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7082456443403096939t_unit G) B5)))))) (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (G (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit G) B5)))))) (forall ((B5 tptp.set_o) (A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_o B5) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((B5 tptp.set_nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_nat B5) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((B5 tptp.set_int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_int B5) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (G (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat G) B5)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (G (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.set_nat)) (G (-> Bool tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (G (-> tptp.nat tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (G (-> tptp.int tptp.set_nat))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4))) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat G) B5)))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (G (-> tptp.produc3843707927480180839at_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A4) B5) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7082456443403096939t_unit G) B5)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (G (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) B5) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit G) B5)))))) (forall ((A4 tptp.set_o) (B5 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit G) B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit G) B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (G (-> tptp.int tptp.product_unit))) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit G) B5)))))) (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_Product_unit)) (=> (not _let_1) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_Product_unit)) (=> (not _let_1) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_Product_unit)) (=> (not _let_1) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_char)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_rat)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_int)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((F (-> tptp.product_unit tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_Product_unit)) (forall ((F (-> Bool tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) tptp.bot_bot_set_o)) tptp.top_top_Product_unit)) (forall ((F (-> tptp.nat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) tptp.bot_bot_set_nat)) tptp.top_top_Product_unit)) (forall ((F (-> tptp.product_unit tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_char)) (forall ((F (-> Bool tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char F) tptp.bot_bot_set_o)) tptp.top_top_set_char)) (forall ((F (-> tptp.nat tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char F) tptp.bot_bot_set_nat)) tptp.top_top_set_char)) (forall ((F (-> tptp.product_unit tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_rat)) (forall ((F (-> Bool tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat F) tptp.bot_bot_set_o)) tptp.top_top_set_rat)) (forall ((F (-> tptp.nat tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat F) tptp.bot_bot_set_nat)) tptp.top_top_set_rat)) (forall ((F (-> tptp.product_unit tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int F) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_int)) (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_Product_unit)) (=> (not _let_1) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_Product_unit)) (=> (not _let_1) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_Product_unit)) (=> (not _let_1) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_o) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((Y5 Bool)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_Product_unit)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_nat) (C tptp.set_o)) (let ((_let_1 (= A4 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((Y5 tptp.nat)) C)) A4)) C))))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (let ((_let_1 (= A4 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) C)) A4)) C))))) (forall ((F (-> tptp.product_unit tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_Product_unit)) (forall ((F (-> Bool tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) tptp.bot_bot_set_o)) tptp.bot_bot_Product_unit)) (forall ((F (-> tptp.nat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) tptp.bot_bot_set_nat)) tptp.bot_bot_Product_unit)) (forall ((F (-> tptp.product_unit tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bo3957492148770167129t_unit)) (forall ((F (-> tptp.product_unit tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_o)) (forall ((F (-> Bool tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit F) tptp.bot_bot_set_o)) tptp.bot_bo3957492148770167129t_unit)) (forall ((F (-> Bool tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o F) tptp.bot_bot_set_o)) tptp.bot_bot_set_o)) (forall ((F (-> tptp.nat tptp.set_Product_unit))) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit F) tptp.bot_bot_set_nat)) tptp.bot_bo3957492148770167129t_unit)) (forall ((F (-> tptp.nat tptp.set_o))) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o F) tptp.bot_bot_set_nat)) tptp.bot_bot_set_o)) (forall ((F (-> tptp.product_unit tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) tptp.bot_bo3957492148770167129t_unit)) tptp.bot_bot_set_nat)) (forall ((B5 (-> tptp.product_unit tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_char)) (forall ((B5 (-> Bool tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char B5) tptp.bot_bot_set_o)) tptp.top_top_set_char)) (forall ((B5 (-> tptp.nat tptp.set_char))) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char B5) tptp.bot_bot_set_nat)) tptp.top_top_set_char)) (forall ((B5 (-> tptp.product_unit tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_rat)) (forall ((B5 (-> Bool tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat B5) tptp.bot_bot_set_o)) tptp.top_top_set_rat)) (forall ((B5 (-> tptp.nat tptp.set_rat))) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat B5) tptp.bot_bot_set_nat)) tptp.top_top_set_rat)) (forall ((B5 (-> tptp.product_unit tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_int)) (forall ((B5 (-> Bool tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) tptp.bot_bot_set_o)) tptp.top_top_set_int)) (forall ((B5 (-> tptp.nat tptp.set_int))) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) tptp.bot_bot_set_nat)) tptp.top_top_set_int)) (forall ((B5 (-> tptp.product_unit tptp.set_nat))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) tptp.bot_bo3957492148770167129t_unit)) tptp.top_top_set_nat)) (forall ((A4 tptp.set_int) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4)) C))) (forall ((A4 tptp.set_nat) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) C)) A4)) C))) (forall ((A4 tptp.set_int) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4)) C))) (forall ((A4 tptp.set_Product_unit) (C tptp.int)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) C)) A4)) C))) (forall ((A4 tptp.set_o) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) C)) A4)) C))) (forall ((A4 tptp.set_nat) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4)) C))) (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4)) C))) (forall ((A4 tptp.set_o) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4)) C))) (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) C)) A4)) C))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) C)) A4)) C))) (forall ((A4 tptp.set_int) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) C)) A4)) C))) (forall ((A4 tptp.set_nat) (C tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) C)) A4)) C))) (forall ((A4 tptp.set_int) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) C)) A4)) C))) (forall ((A4 tptp.set_Product_unit) (C tptp.int)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) C)) A4)) C))) (forall ((A4 tptp.set_o) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) C)) A4)) C))) (forall ((A4 tptp.set_nat) (C tptp.int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) C)) A4)) C))) (forall ((A4 tptp.set_Product_unit) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((X4 tptp.product_unit)) C)) A4)) C))) (forall ((A4 tptp.set_o) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_o)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((X4 Bool)) C)) A4)) C))) (forall ((A4 tptp.set_nat) (C tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) C)) A4)) C))) (forall ((A4 tptp.set_Product_unit) (C tptp.set_nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) C)) A4)) C))) (forall ((P2 (-> tptp.char tptp.char tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8077363282794994245t_unit (lambda ((X4 (-> tptp.char tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_char)))) tptp.top_to8079350907815874599r_char)))) (forall ((P2 (-> tptp.char tptp.rat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6940606515012899070t_unit (lambda ((X4 (-> tptp.rat tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_char)))) (forall ((P2 (-> tptp.char tptp.nat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4600008085730780422t_unit (lambda ((X4 (-> tptp.nat tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_char)))) (forall ((P2 (-> tptp.char tptp.int tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4409302170498516394t_unit (lambda ((X4 (-> tptp.int tptp.char))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_int)))) tptp.top_top_set_int_char)))) (forall ((P2 (-> tptp.rat tptp.char tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_7615136836863079294t_unit (lambda ((X4 (-> tptp.char tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char_rat)))) (forall ((P2 (-> tptp.rat tptp.rat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_1193274288206594871t_unit (lambda ((X4 (-> tptp.rat tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_rat)))) (forall ((P2 (-> tptp.rat tptp.nat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_nat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_340470173791133503t_unit (lambda ((X4 (-> tptp.nat tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_rat)))) (forall ((P2 (-> tptp.rat tptp.int tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_int)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4174709274675160035t_unit (lambda ((X4 (-> tptp.int tptp.rat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_int)))) tptp.top_top_set_int_rat)))) (forall ((P2 (-> tptp.nat tptp.char tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_char)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_108929247839792006t_unit (lambda ((X4 (-> tptp.char tptp.nat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char_nat)))) (forall ((P2 (-> tptp.nat tptp.rat tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_rat)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2910438736038083391t_unit (lambda ((X4 (-> tptp.rat tptp.nat))) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ (@ P2 (@ X4 Y5)) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_nat)))) (forall ((P2 (-> tptp.char tptp.char tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8077363282794994245t_unit (lambda ((F2 (-> tptp.char tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_char)))) tptp.top_to8079350907815874599r_char)))) (forall ((P2 (-> tptp.char tptp.rat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6940606515012899070t_unit (lambda ((F2 (-> tptp.rat tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_char)))) (forall ((P2 (-> tptp.char tptp.nat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4600008085730780422t_unit (lambda ((F2 (-> tptp.nat tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_char)))) (forall ((P2 (-> tptp.char tptp.int tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 X4) Y5))) tptp.top_top_set_char)))) tptp.top_top_set_int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4409302170498516394t_unit (lambda ((F2 (-> tptp.int tptp.char))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_int)))) tptp.top_top_set_int_char)))) (forall ((P2 (-> tptp.rat tptp.char tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_7615136836863079294t_unit (lambda ((F2 (-> tptp.char tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_char)))) tptp.top_top_set_char_rat)))) (forall ((P2 (-> tptp.rat tptp.rat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_1193274288206594871t_unit (lambda ((F2 (-> tptp.rat tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_rat)))) (forall ((P2 (-> tptp.rat tptp.nat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((Y5 tptp.nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_nat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_340470173791133503t_unit (lambda ((F2 (-> tptp.nat tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_nat)))) tptp.top_top_set_nat_rat)))) (forall ((P2 (-> tptp.rat tptp.int tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((Y5 tptp.int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_rat)))) tptp.top_top_set_int)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_4174709274675160035t_unit (lambda ((F2 (-> tptp.int tptp.rat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_int)))) tptp.top_top_set_int_rat)))) (forall ((P2 (-> tptp.nat tptp.char tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((Y5 tptp.char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_char)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_108929247839792006t_unit (lambda ((F2 (-> tptp.char tptp.nat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_4337914935673063477t_unit (lambda ((X4 tptp.char)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_char)))) tptp.top_top_set_char_nat)))) (forall ((P2 (-> tptp.nat tptp.rat tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((Y5 tptp.rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ (@ P2 X4) Y5))) tptp.top_top_set_nat)))) tptp.top_top_set_rat)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_2910438736038083391t_unit (lambda ((F2 (-> tptp.rat tptp.nat))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_2327579789247107822t_unit (lambda ((X4 tptp.rat)) (@ (@ P2 (@ F2 X4)) X4))) tptp.top_top_set_rat)))) tptp.top_top_set_rat_nat)))) (forall ((A4 tptp.set_int) (M3 tptp.nat) (F (-> tptp.int tptp.nat))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat F) A4)))))) (forall ((A4 tptp.set_Product_unit) (M3 tptp.nat) (F (-> tptp.product_unit tptp.nat))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat F) A4)))))) (forall ((A4 tptp.set_o) (M3 tptp.nat) (F (-> Bool tptp.nat))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat F) A4)))))) (forall ((A4 tptp.set_nat) (M3 tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ (@ tptp.ord_less_eq_nat M3) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat F) A4)))))) (forall ((A4 tptp.set_int) (M3 tptp.int) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) A4)))))) (forall ((A4 tptp.set_Product_unit) (M3 tptp.int) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) A4)))))) (forall ((A4 tptp.set_o) (M3 tptp.int) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) A4)))))) (forall ((A4 tptp.set_nat) (M3 tptp.int) (F (-> tptp.nat tptp.int))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ (@ tptp.ord_less_eq_int M3) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int F) A4)))))) (forall ((A4 tptp.set_int) (M3 tptp.product_unit) (F (-> tptp.int tptp.product_unit))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)))))) (forall ((A4 tptp.set_Product_unit) (M3 tptp.product_unit) (F (-> tptp.product_unit tptp.product_unit))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit M3) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4)))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) M)))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) M)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) M)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (M tptp.nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) M)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) M)))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) A4))) M)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) A4))) M)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (M tptp.int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int F) A4))) M)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (M tptp.product_unit)) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) M))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) M)))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (M tptp.product_unit)) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) M))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))) M)))) (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A) A4) (=> (forall ((X tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat F) A4)) C)))) (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A) A4) (=> (forall ((X tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) A4)) C)))) (forall ((A Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member_o A) A4) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) A4)) C)))) (forall ((A tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member_nat A) A4) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) A4)) C)))) (forall ((A tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat)) (C tptp.set_nat)) (=> (@ (@ tptp.member_int A) A4) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (= (@ F X) C))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat F) A4)) C)))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.refl_o7446464703481863270at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R) (and (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat B) A4))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (@ (@ tptp.refl_o7122697186039111552at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R) (and (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat B) A4))))) (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (A Bool) (B Bool)) (=> (@ (@ tptp.refl_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_o B) A4))))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.refl_o6272981002401706822at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R) (and (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member6273874620674182256at_nat B) A4))))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.refl_o6955724340487615712at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R) (and (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member2643936169264416010at_nat B) A4))))) (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.refl_on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_nat B) A4))))) (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.refl_on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_int B) A4))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_char) (B5 (-> tptp.product_unit tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_char A4) (@ tptp.comple4338141846124676698t_char (@ (@ tptp.image_5325685772115642575t_char B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_char) (B5 (-> Bool tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_char A4) (@ tptp.comple4338141846124676698t_char (@ (@ tptp.image_o_set_char B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_char) (B5 (-> tptp.nat tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_char A4) (@ tptp.comple4338141846124676698t_char (@ (@ tptp.image_nat_set_char B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_rat) (B5 (-> tptp.product_unit tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_rat A4) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_4665621433434589782et_rat B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_rat) (B5 (-> Bool tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_rat A4) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_o_set_rat B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_rat) (B5 (-> tptp.nat tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_rat A4) (@ tptp.comple3890839924845867745et_rat (@ (@ tptp.image_nat_set_rat B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_int) (B5 (-> tptp.product_unit tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_int A4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_int) (B5 (-> Bool tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_int A4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_int) (B5 (-> tptp.nat tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_int A4) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int R3) tptp.bot_bo5438875203632553179_int_o) tptp.bot_bo5438875203632553179_int_o)) (forall ((R3 (-> tptp.int tptp.int Bool))) (= (@ (@ tptp.relcom967497705283160040nteger R3) tptp.bot_bo341146761387662761eger_o) tptp.bot_bo341146761387662761eger_o)) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int tptp.bot_bo4898103413517107610_nat_o) R3) tptp.bot_bo5438875203632553179_int_o)) (forall ((R3 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger tptp.bot_bot_int_int_o) R3) tptp.bot_bo341146761387662761eger_o)) (forall ((A tptp.int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) tptp.top_top_set_int) tptp.top_top_set_int)) (forall ((A tptp.rat)) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) tptp.top_top_set_rat) tptp.top_top_set_rat)) (forall ((A tptp.code_integer)) (= (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) tptp.top_to4645266643341252675nteger) tptp.top_to4645266643341252675nteger)) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat (@ A4 X4)) B5))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.minus_minus_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5)))))) (forall ((I3 tptp.set_nat) (J3 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.minus_minus_set_nat I3) J3)) C3) (@ (@ tptp.minus_1356011639430497352at_nat (@ (@ tptp.produc457027306803732586at_nat I3) C3)) (@ (@ tptp.produc457027306803732586at_nat J3) C3)))) (forall ((A tptp.int) (S2 tptp.set_int) (T2 tptp.set_int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) (@ (@ tptp.minus_minus_set_int S2) T2)) (@ (@ tptp.minus_minus_set_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) S2)) (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) T2)))) (forall ((A tptp.rat) (S2 tptp.set_rat) (T2 tptp.set_rat)) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) (@ (@ tptp.minus_minus_set_rat S2) T2)) (@ (@ tptp.minus_minus_set_rat (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) S2)) (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) T2)))) (forall ((A tptp.code_integer) (S2 tptp.set_Code_integer) (T2 tptp.set_Code_integer)) (= (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) (@ (@ tptp.minus_2355218937544613996nteger S2) T2)) (@ (@ tptp.minus_2355218937544613996nteger (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) S2)) (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) T2)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.minus_minus_set_nat A4) B5)) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.minus_1356011639430497352at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))))) (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.produc457027306803732586at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_set_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.minus_1356011639430497352at_nat (@ _let_1 A4)) (@ _let_1 B5))))) _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 (forall ((S5 tptp.set_se7592288975875140775at_nat)) (= (@ tptp.comple5307621999477653941_nat_o (@ (@ tptp.image_5337237954834410540_nat_o (lambda ((I2 tptp.set_Pr7459493094073627847at_nat) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple4403251139954110286at_nat S5))))) (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple8322679762649017525_nat_o (@ (@ tptp.image_6595146019508340652_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple6751905152567503566at_nat S5))))) (forall ((S5 tptp.set_se4826145725398303499at_num)) (= (@ tptp.comple2433913294995299363_num_o (@ (@ tptp.image_2055017250723459638_num_o (lambda ((I2 tptp.set_Pr6200539531224447659at_num) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple6868718957223342258at_num S5))))) (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple1675732732025788397_nat_o (@ (@ tptp.image_6923511907955291850_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple1930127330929219688at_nat S5))))) (forall ((S5 tptp.set_se6260736226359567993nt_int)) (= (@ tptp.comple5770381748412298549_int_o (@ (@ tptp.image_4446226961036766042_int_o (lambda ((I2 tptp.set_Pr958786334691620121nt_int) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) I2))) S5)) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple1626965760690514720nt_int S5))))) (forall ((S5 tptp.set_se7592288975875140775at_nat)) (= (@ tptp.comple4502628867940267931_nat_o (@ (@ tptp.image_5337237954834410540_nat_o (lambda ((I2 tptp.set_Pr7459493094073627847at_nat) (X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ tptp.comple7342073961973170484at_nat S5))))) (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple493620192902636699_nat_o (@ (@ tptp.image_6595146019508340652_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ tptp.comple4364388969068068532at_nat S5))))) (forall ((S5 tptp.set_se4826145725398303499at_num)) (= (@ tptp.comple4350791933526045961_num_o (@ (@ tptp.image_2055017250723459638_num_o (lambda ((I2 tptp.set_Pr6200539531224447659at_num) (X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ tptp.comple1400524285282149784at_num S5))))) (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple3592611370556534995_nat_o (@ (@ tptp.image_6923511907955291850_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) I2))) S5)) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ tptp.comple5685304695842803022at_nat S5))))) (forall ((S5 tptp.set_se6260736226359567993nt_int)) (= (@ tptp.comple7687260386943045147_int_o (@ (@ tptp.image_4446226961036766042_int_o (lambda ((I2 tptp.set_Pr958786334691620121nt_int) (X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) I2))) S5)) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ tptp.comple5382143125604098054nt_int S5))))) (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple1177764198577243945_nat_o (@ (@ tptp.image_4859512832475012440_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) I2))) S5)) (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple4364388969068068532at_nat S5))))) (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple1901448594430626575_nat_o (@ (@ tptp.image_5253903537071781336_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) I2))) S5)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple5685304695842803022at_nat S5))))) (forall ((S5 tptp.set_set_o)) (= (@ tptp.complete_Sup_Sup_o_o (@ (@ tptp.image_set_o_o_o (lambda ((I2 tptp.set_o) (X4 Bool)) (@ (@ tptp.member_o X4) I2))) S5)) (lambda ((X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple90263536869209701_set_o S5))))) (forall ((S5 tptp.set_set_int)) (= (@ tptp.comple6496622788309502864_int_o (@ (@ tptp.image_set_int_int_o (lambda ((I2 tptp.set_int) (X4 tptp.int)) (@ (@ tptp.member_int X4) I2))) S5)) (lambda ((X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3221217463730067765et_int S5))))) (forall ((S5 tptp.set_set_nat)) (= (@ tptp.comple8317665133742190828_nat_o (@ (@ tptp.image_set_nat_nat_o (lambda ((I2 tptp.set_nat) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) I2))) S5)) (lambda ((X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7399068483239264473et_nat S5))))) (forall ((S5 tptp.set_se5479201105039950375at_nat)) (= (@ tptp.comple8183010123678664591_nat_o (@ (@ tptp.image_4859512832475012440_nat_o (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) I2))) S5)) (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.member8757157785044589968at_nat X4) (@ tptp.comple6751905152567503566at_nat S5))))) (forall ((S5 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.comple6265855634338933877_nat_o (@ (@ tptp.image_5253903537071781336_nat_o (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) I2))) S5)) (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.member8440522571783428010at_nat X4) (@ tptp.comple1930127330929219688at_nat S5))))) (forall ((S5 tptp.set_set_o)) (= (@ tptp.complete_Inf_Inf_o_o (@ (@ tptp.image_set_o_o_o (lambda ((I2 tptp.set_o) (X4 Bool)) (@ (@ tptp.member_o X4) I2))) S5)) (lambda ((X4 Bool)) (@ (@ tptp.member_o X4) (@ tptp.comple3063163877087187839_set_o S5))))) (forall ((S5 tptp.set_set_int)) (= (@ tptp.comple4393433247856107946_int_o (@ (@ tptp.image_set_int_int_o (lambda ((I2 tptp.set_int) (X4 tptp.int)) (@ (@ tptp.member_int X4) I2))) S5)) (lambda ((X4 tptp.int)) (@ (@ tptp.member_int X4) (@ tptp.comple3628384868704368283et_int S5))))) (forall ((S5 tptp.set_set_nat)) (= (@ tptp.comple6214475593288795910_nat_o (@ (@ tptp.image_set_nat_nat_o (lambda ((I2 tptp.set_nat) (X4 tptp.nat)) (@ (@ tptp.member_nat X4) I2))) S5)) (lambda ((X4 tptp.nat)) (@ (@ tptp.member_nat X4) (@ tptp.comple7806235888213564991et_nat S5))))) _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.minus_minus_set_rat (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))))) _let_127 _let_126 _let_125 _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 (forall ((B5 tptp.set_set_int) (X2 tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.insert_int X2))) (=> (forall ((C2 tptp.set_int)) (=> (@ (@ tptp.member_set_int C2) B5) (not (@ (@ tptp.member_int X2) C2)))) (= (@ (@ tptp.member_set_int A4) (@ (@ tptp.image_524474410958335435et_int _let_1) B5)) (and (@ (@ tptp.member_int X2) A4) (@ (@ tptp.member_set_int (@ (@ tptp.minus_minus_set_int A4) (@ _let_1 tptp.bot_bot_set_int))) B5)))))) (forall ((B5 tptp.set_set_Product_unit) (X2 tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit X2))) (=> (forall ((C2 tptp.set_Product_unit)) (=> (@ (@ tptp.member5877623283571906838t_unit C2) B5) (not (@ (@ tptp.member_Product_unit X2) C2)))) (= (@ (@ tptp.member5877623283571906838t_unit A4) (@ (@ tptp.image_4019945301284682565t_unit _let_1) B5)) (and (@ (@ tptp.member_Product_unit X2) A4) (@ (@ tptp.member5877623283571906838t_unit (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit))) B5)))))) (forall ((B5 tptp.set_se5479201105039950375at_nat) (X2 tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.insert9069300056098147895at_nat X2))) (=> (forall ((C2 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat C2) B5) (not (@ (@ tptp.member8757157785044589968at_nat X2) C2)))) (= (@ (@ tptp.member6273874620674182256at_nat A4) (@ (@ tptp.image_4303274092540115909at_nat _let_1) B5)) (and (@ (@ tptp.member8757157785044589968at_nat X2) A4) (@ (@ tptp.member6273874620674182256at_nat (@ (@ tptp.minus_3314409938677909166at_nat A4) (@ _let_1 tptp.bot_bo228742789529271731at_nat))) B5)))))) (forall ((B5 tptp.set_se7855581050983116737at_nat) (X2 tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.insert8211810215607154385at_nat X2))) (=> (forall ((C2 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat C2) B5) (not (@ (@ tptp.member8440522571783428010at_nat X2) C2)))) (= (@ (@ tptp.member2643936169264416010at_nat A4) (@ (@ tptp.image_3684629450409544005at_nat _let_1) B5)) (and (@ (@ tptp.member8440522571783428010at_nat X2) A4) (@ (@ tptp.member2643936169264416010at_nat (@ (@ tptp.minus_1356011639430497352at_nat A4) (@ _let_1 tptp.bot_bo2099793752762293965at_nat))) B5)))))) (forall ((B5 tptp.set_set_o) (X2 Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o X2))) (=> (forall ((C2 tptp.set_o)) (=> (@ (@ tptp.member_set_o C2) B5) (not (@ (@ tptp.member_o X2) C2)))) (= (@ (@ tptp.member_set_o A4) (@ (@ tptp.image_set_o_set_o _let_1) B5)) (and (@ (@ tptp.member_o X2) A4) (@ (@ tptp.member_set_o (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o))) B5)))))) (forall ((B5 tptp.set_set_nat) (X2 tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.insert_nat X2))) (=> (forall ((C2 tptp.set_nat)) (=> (@ (@ tptp.member_set_nat C2) B5) (not (@ (@ tptp.member_nat X2) C2)))) (= (@ (@ tptp.member_set_nat A4) (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5)) (and (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.member_set_nat (@ (@ tptp.minus_minus_set_nat A4) (@ _let_1 tptp.bot_bot_set_nat))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_char tptp.top_top_set_char) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_char tptp.top_top_set_char) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (@ (@ tptp.minus_minus_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_char tptp.top_top_set_char) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_char (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_rat tptp.top_top_set_rat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_rat tptp.top_top_set_rat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_rat tptp.top_top_set_rat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_rat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_int tptp.top_top_set_int) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_int tptp.top_top_set_int) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (@ (@ tptp.minus_minus_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_int tptp.top_top_set_int) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_int (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 (@ (@ tptp.minus_minus_set_nat tptp.top_top_set_nat) B5))) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.minus_minus_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.minus_minus_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.order_1878278401035043452at_nat (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) X2)) tptp.bot_bo4948859079157340979at_nat))) (forall ((X2 tptp.int)) (@ (@ tptp.order_4471489696718655927on_int (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X2) X2)) tptp.bot_bo1796632182523588997nt_int))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.order_5942792088423767318at_nat (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) X2)) tptp.bot_bo228742789529271731at_nat))) (forall ((X2 tptp.product_unit)) (@ (@ tptp.order_888282469287196226t_unit (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit X2) X2)) tptp.bot_bo1654022762305692595t_unit))) (forall ((X2 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.order_2711500226769404828at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) X2)) tptp.bot_bo7193250159860175667at_nat))) (forall ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.order_7480980593162297270at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) X2)) tptp.bot_bo5327735625951526323at_nat))) (forall ((X2 Bool)) (@ (@ tptp.order_6238756238976269133r_on_o (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o X2) X2)) tptp.bot_bo7073875226086086771od_o_o))) (forall ((X2 tptp.nat)) (@ (@ tptp.order_4473980167227706203on_nat (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X2) X2)) tptp.bot_bo2099793752762293965at_nat))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.total_5117575981256876747at_nat (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat)) (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) X2)) tptp.bot_bo4948859079157340979at_nat))) (forall ((X2 tptp.int)) (@ (@ tptp.total_on_int (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int X2) X2)) tptp.bot_bo1796632182523588997nt_int))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.total_7212417256332265445at_nat (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat)) (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) X2)) tptp.bot_bo228742789529271731at_nat))) (forall ((X2 tptp.product_unit)) (@ (@ tptp.total_5665700600833547665t_unit (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit X2) X2)) tptp.bot_bo1654022762305692595t_unit))) (forall ((X2 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.total_1513685709984341995at_nat (@ (@ tptp.insert9069300056098147895at_nat X2) tptp.bot_bo228742789529271731at_nat)) (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat X2) X2)) tptp.bot_bo7193250159860175667at_nat))) (forall ((X2 tptp.product_prod_nat_nat)) (@ (@ tptp.total_3592101749530773125at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) X2)) tptp.bot_bo5327735625951526323at_nat))) (forall ((X2 Bool)) (@ (@ tptp.total_on_o (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o X2) X2)) tptp.bot_bo7073875226086086771od_o_o))) (forall ((X2 tptp.nat)) (@ (@ tptp.total_on_nat (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)) (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat X2) X2)) tptp.bot_bo2099793752762293965at_nat))) _let_107 _let_106 _let_105 _let_104 (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc5506539147108004339t_unit (@ (@ tptp.insert_nat A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_Product_unit B) B5))) (@ (@ tptp.insert6804906068341198690t_unit (@ (@ tptp.produc3434450474625521892t_unit A) B)) (@ (@ tptp.sup_su4209953369189666580t_unit (@ (@ tptp.produc5506539147108004339t_unit A4) (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_Product_unit B) B5)))) (@ _let_1 (lambda ((Uu tptp.nat)) B5))))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_nat_o (@ (@ tptp.insert_nat A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_o B) B5))) (@ (@ tptp.insert2233377226759017069_nat_o (@ (@ tptp.product_Pair_nat_o A) B)) (@ (@ tptp.sup_su503371503184139039_nat_o (@ (@ tptp.product_Sigma_nat_o A4) (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_o B) B5)))) (@ _let_1 (lambda ((Uu tptp.nat)) B5))))))) (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit) (B tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.produc6875377002296012693it_nat (@ (@ tptp.insert_Product_unit A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_nat B) B5))) (@ (@ tptp.insert6879346373837673660it_nat (@ (@ tptp.produc4803288329813530246it_nat A) B)) (@ (@ tptp.sup_su1639320892072265582it_nat (@ (@ tptp.produc6875377002296012693it_nat A4) (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_nat B) B5)))) (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))))))) (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit) (B tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc6121607364029222536t_unit (@ (@ tptp.insert_Product_unit A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_Product_unit B) B5))) (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit A) B)) (@ (@ tptp.sup_su6481247232241170203t_unit (@ (@ tptp.produc6121607364029222536t_unit A4) (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_Product_unit B) B5)))) (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))))))) (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit) (B Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.produc4996980317674386579unit_o (@ (@ tptp.insert_Product_unit A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_o B) B5))) (@ (@ tptp.insert3586912282507785154unit_o (@ (@ tptp.produc8487917018914037602unit_o A) B)) (@ (@ tptp.sup_su2851927382625014182unit_o (@ (@ tptp.produc4996980317674386579unit_o A4) (lambda ((Uu tptp.product_unit)) (@ (@ tptp.insert_o B) B5)))) (@ _let_1 (lambda ((Uu tptp.product_unit)) B5))))))) (forall ((A Bool) (A4 tptp.set_o) (B tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.product_Sigma_o_nat (@ (@ tptp.insert_o A) A4)))) (= (@ _let_1 (lambda ((Uu Bool)) (@ (@ tptp.insert_nat B) B5))) (@ (@ tptp.insert7948214739558299847_o_nat (@ (@ tptp.product_Pair_o_nat A) B)) (@ (@ tptp.sup_su8679140417860611193_o_nat (@ (@ tptp.product_Sigma_o_nat A4) (lambda ((Uu Bool)) (@ (@ tptp.insert_nat B) B5)))) (@ _let_1 (lambda ((Uu Bool)) B5))))))) (forall ((A Bool) (A4 tptp.set_o) (B tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.produc411009820408249917t_unit (@ (@ tptp.insert_o A) A4)))) (= (@ _let_1 (lambda ((Uu Bool)) (@ (@ tptp.insert_Product_unit B) B5))) (@ (@ tptp.insert9112848208840649964t_unit (@ (@ tptp.produc3901946521647900940t_unit A) B)) (@ (@ tptp.sup_su4058753791541417424t_unit (@ (@ tptp.produc411009820408249917t_unit A4) (lambda ((Uu Bool)) (@ (@ tptp.insert_Product_unit B) B5)))) (@ _let_1 (lambda ((Uu Bool)) B5))))))) (forall ((A Bool) (A4 tptp.set_o) (B Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.product_Sigma_o_o (@ (@ tptp.insert_o A) A4)))) (= (@ _let_1 (lambda ((Uu Bool)) (@ (@ tptp.insert_o B) B5))) (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o A) B)) (@ (@ tptp.sup_su5769328420594410459od_o_o (@ (@ tptp.product_Sigma_o_o A4) (lambda ((Uu Bool)) (@ (@ tptp.insert_o B) B5)))) (@ _let_1 (lambda ((Uu Bool)) B5))))))) (forall ((A tptp.nat) (A4 tptp.set_nat) (B tptp.num) (B5 tptp.set_num)) (let ((_let_1 (@ tptp.produc6237731129814287028at_num (@ (@ tptp.insert_nat A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_num B) B5))) (@ (@ tptp.insert8920054152555992091at_num (@ (@ tptp.product_Pair_nat_num A) B)) (@ (@ tptp.sup_su2042722026077122175at_num (@ (@ tptp.produc6237731129814287028at_num A4) (lambda ((Uu tptp.nat)) (@ (@ tptp.insert_num B) B5)))) (@ _let_1 (lambda ((Uu tptp.nat)) B5))))))) (forall ((A tptp.int) (A4 tptp.set_int) (B tptp.int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.produc1453890548195736866nt_int (@ (@ tptp.insert_int A) A4)))) (= (@ _let_1 (lambda ((Uu tptp.int)) (@ (@ tptp.insert_int B) B5))) (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int A) B)) (@ (@ tptp.sup_su6024340866399070445nt_int (@ (@ tptp.produc1453890548195736866nt_int A4) (lambda ((Uu tptp.int)) (@ (@ tptp.insert_int B) B5)))) (@ _let_1 (lambda ((Uu tptp.int)) B5))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_char) (B5 (-> tptp.product_unit tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_char A4) (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_char) (B5 (-> Bool tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_char A4) (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_char) (B5 (-> tptp.nat tptp.set_char))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_char A4) (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_rat) (B5 (-> tptp.product_unit tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_rat A4) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_rat) (B5 (-> Bool tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_rat A4) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_rat) (B5 (-> tptp.nat tptp.set_rat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_rat A4) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_int) (B5 (-> tptp.product_unit tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_int A4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_int) (B5 (-> Bool tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_int A4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_int) (B5 (-> tptp.nat tptp.set_int))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_int A4) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_5325685772115642575t_char A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_o_set_char A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_char)) (B5 tptp.set_char)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) tptp.top_top_set_char)) (=> (not _let_1) (= (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_char (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_char (@ tptp.comple7965528767983648192t_char (@ (@ tptp.image_nat_set_char A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_4665621433434589782et_rat A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_rat)) (B5 tptp.set_rat)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) tptp.top_top_set_rat)) (=> (not _let_1) (= (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_rat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_rat (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_3995998972318789802et_int A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_int)) (B5 tptp.set_int)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) tptp.top_top_set_int)) (=> (not _let_1) (= (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_int (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_int (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)) tptp.top_top_set_nat)) (=> (not _let_1) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5)))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit2212336002400062152ve_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4)))) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_3995998972318789802et_int (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((X4 tptp.product_unit)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Product_unit)) (F (-> tptp.product_unit tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_o)) (F (-> Bool tptp.int))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (not (= (@ B5 X) tptp.bot_bot_set_o)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_o_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((X4 Bool)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) (@ B5 X4))))) A4))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (F (-> tptp.int tptp.int))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (not (= (@ B5 X) tptp.bot_bot_set_int)))) (=> (@ tptp.condit1735850657277959132ow_int (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))) (= (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ tptp.comple3221217463730067765et_int (@ (@ tptp.image_nat_set_int B5) A4)))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) (@ B5 X4))))) A4))))))) (forall ((A4 (-> tptp.nat tptp.set_nat)) (I3 tptp.set_nat)) (exists ((F5 (-> tptp.nat tptp.product_prod_nat_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F5) _let_1) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F5) _let_1)) (@ (@ tptp.produc457027306803732586at_nat I3) A4)))))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.basic_1274512288150691911at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.insert2290795007606087959at_nat X2) tptp.bot_bo1534825418459847827at_nat))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.basic_3661821009137050567at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.insert9200635055090092081at_nat X2) tptp.bot_bo3083307316010499117at_nat))) (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.basic_fsts_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int))) (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.basic_fsts_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.basic_fsts_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat))) (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (S5 tptp.set_int)) (let ((_let_1 (@ tptp.inf_inf_set_int S5))) (= (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.image_int_nat F) (@ _let_1 (@ tptp.collect_int P2)))) (@ (@ tptp.image_int_nat G) (@ _let_1 (@ tptp.collect_int (lambda ((X4 tptp.int)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.int Bool)) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (S5 tptp.set_int)) (let ((_let_1 (@ tptp.inf_inf_set_int S5))) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_int (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_int (@ (@ tptp.image_int_int F) (@ _let_1 (@ tptp.collect_int P2)))) (@ (@ tptp.image_int_int G) (@ _let_1 (@ tptp.collect_int (lambda ((X4 tptp.int)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_rat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_rat (@ (@ tptp.image_nat_rat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_nat_rat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.image_nat_nat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_nat_nat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_int (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_sup_set_int (@ (@ tptp.image_nat_int F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_nat_int G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.produc859450856879609959at_nat)) (G (-> tptp.nat tptp.produc859450856879609959at_nat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_3276603626957510736at_nat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.image_3276603626957510736at_nat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_3276603626957510736at_nat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (G (-> tptp.product_prod_int_int tptp.produc859450856879609959at_nat)) (S5 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.inf_in2269163501485487111nt_int S5))) (= (@ (@ tptp.image_8858061497167895027at_nat (lambda ((X4 tptp.product_prod_int_int)) (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.image_8858061497167895027at_nat F) (@ _let_1 (@ tptp.collec213857154873943460nt_int P2)))) (@ (@ tptp.image_8858061497167895027at_nat G) (@ _let_1 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.product_prod_nat_nat Bool)) (F (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (G (-> tptp.product_prod_nat_nat tptp.produc859450856879609959at_nat)) (S5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat S5))) (= (@ (@ tptp.image_1119892238107900587at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ (@ tptp.if_Pro4507677147265585453at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.image_1119892238107900587at_nat F) (@ _let_1 (@ tptp.collec3392354462482085612at_nat P2)))) (@ (@ tptp.image_1119892238107900587at_nat G) (@ _let_1 (@ tptp.collec3392354462482085612at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.nat Bool)) (F (-> tptp.nat tptp.produc3843707927480180839at_nat)) (G (-> tptp.nat tptp.produc3843707927480180839at_nat)) (S5 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat S5))) (= (@ (@ tptp.image_2499013659892586576at_nat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_Pro3594990065127090477at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.image_2499013659892586576at_nat F) (@ _let_1 (@ tptp.collect_nat P2)))) (@ (@ tptp.image_2499013659892586576at_nat G) (@ _let_1 (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (not (@ P2 X4)))))))))) (forall ((P2 (-> tptp.product_prod_int_int Bool)) (F (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (G (-> tptp.product_prod_int_int tptp.produc3843707927480180839at_nat)) (S5 tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.inf_in2269163501485487111nt_int S5))) (= (@ (@ tptp.image_6029125644611338739at_nat (lambda ((X4 tptp.product_prod_int_int)) (@ (@ (@ tptp.if_Pro3594990065127090477at_nat (@ P2 X4)) (@ F X4)) (@ G X4)))) S5) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.image_6029125644611338739at_nat F) (@ _let_1 (@ tptp.collec213857154873943460nt_int P2)))) (@ (@ tptp.image_6029125644611338739at_nat G) (@ _let_1 (@ tptp.collec213857154873943460nt_int (lambda ((X4 tptp.product_prod_int_int)) (not (@ P2 X4)))))))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6654316230217496229at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_3876558564303283877at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7260680879217540773at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7364710425340685989at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_rat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat G) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat G) A4))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int G) A4))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ (@ tptp.inf_inf_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat G) A4))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.inf_inf_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int G) A4))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_rat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat G) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat G) A4))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int G) A4))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ (@ tptp.sup_sup_nat (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat G) A4))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.sup_sup_int (@ F X4)) (@ G X4)))) A4)) (and (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int G) A4))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Product_unit) (B5 (-> tptp.product_unit tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_o) (B5 (-> tptp.product_unit tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_o A4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_Product_unit) (B5 (-> Bool tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_o) (B5 (-> Bool tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_o A4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_Product_unit) (B5 (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit A4) (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_o) (B5 (-> tptp.nat tptp.set_o))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_o A4) (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat A4) (@ B5 X4)))) C3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat A4) (@ B5 X4)))) C3)) (@ (@ tptp.sup_su6327502436637775413at_nat A4) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_o)) (B5 tptp.set_o)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (lambda ((X4 Bool)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_o)) (B5 tptp.set_o)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) tptp.bot_bo3957492148770167129t_unit)) (=> (not _let_1) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su793286257634532545t_unit (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_o)) (B5 tptp.set_o)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_o)) (=> (not _let_1) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_o (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5)))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bot_set_o))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) C3))) B5)))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_1 (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) tptp.bot_bot_set_nat)) (=> (not _let_1) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) C3))) B5)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_1 (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ A4 X4)) B5))) C3)) tptp.bot_bo2099793752762293965at_nat)) (=> (not _let_1) (= (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ A4 X4)) B5))) C3)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3617315916088684441at_nat A4) C3))) B5)))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((B5 (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat B5))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ B5 A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_4592875511192039216at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_7288820656315755647at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))) (forall ((B5 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_8493167801588156084at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5803077947706746251at_nat B5))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ B5 A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_1087905878993176368at_nat B5))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ B5 A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_5172358348707908735at_nat B5))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ B5 A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.code_integer tptp.code_integer))) (= (@ (@ tptp.inj_on20428373856169009nteger (@ tptp.produc6499014454317279255nteger F)) tptp.top_to2363841527343591755nteger) (@ (@ tptp.inj_on1158064722259180589nteger F) tptp.top_to4645266643341252675nteger))) (forall ((B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_7178329752028323786at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5423882813909314213at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7979982168039674559at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert9069300056098147895at_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_3617315916088684441at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((B5 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_7077428525161401678at_nat B5))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ B5 A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert9069300056098147895at_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((B5 (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((B5 (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat B5))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_set_nat (@ B5 A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer)) (= (@ (@ tptp.inj_on20428373856169009nteger (@ tptp.produc6499014454317279255nteger F)) (@ (@ tptp.produc5882431272649516420nteger tptp.top_to4645266643341252675nteger) (lambda ((Uu tptp.code_integer)) A4))) (@ (@ tptp.inj_on1158064722259180589nteger F) A4))) (forall ((F (-> tptp.int tptp.nat)) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.insert_int A))) (let ((_let_2 (@ tptp.inj_on_int_nat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_int_nat F) (@ (@ tptp.minus_minus_set_int A4) (@ _let_1 tptp.bot_bot_set_int)))))))))) (forall ((F (-> tptp.int tptp.int)) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.insert_int A))) (let ((_let_2 (@ tptp.inj_on_int_int F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_int_int F) (@ (@ tptp.minus_minus_set_int A4) (@ _let_1 tptp.bot_bot_set_int)))))))))) (forall ((F (-> tptp.product_unit Bool)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ tptp.inj_on8854722734121536060unit_o F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_Product_unit_o F) (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit)))))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ tptp.inj_on8430439091780834860it_nat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_875570014554754200it_nat F) (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit)))))))))) (forall ((F (-> tptp.product_unit tptp.int)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.insert_Product_unit A))) (let ((_let_2 (@ tptp.inj_on8427948621271784584it_int F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_873079544045703924it_int F) (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ _let_1 tptp.bot_bo3957492148770167129t_unit)))))))))) (forall ((F (-> Bool Bool)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ tptp.inj_on_o_o F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_o_o F) (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o)))))))))) (forall ((F (-> Bool tptp.nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ tptp.inj_on_o_nat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_o_nat F) (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o)))))))))) (forall ((F (-> Bool tptp.int)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.insert_o A))) (let ((_let_2 (@ tptp.inj_on_o_int F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_o_int F) (@ (@ tptp.minus_minus_set_o A4) (@ _let_1 tptp.bot_bot_set_o)))))))))) (forall ((F (-> tptp.nat tptp.rat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ tptp.inj_on_nat_rat F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_rat (@ F A)) (@ (@ tptp.image_nat_rat F) (@ (@ tptp.minus_minus_set_nat A4) (@ _let_1 tptp.bot_bot_set_nat)))))))))) (forall ((F (-> tptp.nat Bool)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.insert_nat A))) (let ((_let_2 (@ tptp.inj_on_nat_o F))) (= (@ _let_2 (@ _let_1 A4)) (and (@ _let_2 A4) (not (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_nat_o F) (@ (@ tptp.minus_minus_set_nat A4) (@ _let_1 tptp.bot_bot_set_nat)))))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) (@ (@ tptp.sup_sup_set_nat A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) (@ (@ tptp.sup_sup_set_nat A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) (@ (@ tptp.sup_sup_set_nat A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) (@ (@ tptp.sup_sup_set_int A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) (@ (@ tptp.sup_sup_set_int A4) B5)) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((I3 tptp.set_nat) (J3 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.sup_sup_set_nat I3) J3)) C3) (@ (@ tptp.sup_su6327502436637775413at_nat (@ (@ tptp.produc457027306803732586at_nat I3) C3)) (@ (@ tptp.produc457027306803732586at_nat J3) C3)))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (J3 tptp.set_Pr1261947904930325089at_nat) (C3 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (= (@ (@ tptp.produc2761391749766926216at_nat (@ (@ tptp.sup_su6327502436637775413at_nat I3) J3)) C3) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.produc2761391749766926216at_nat I3) C3)) (@ (@ tptp.produc2761391749766926216at_nat J3) C3)))) (forall ((I3 tptp.set_se7855581050983116737at_nat) (J3 tptp.set_se7855581050983116737at_nat) (C3 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (= (@ (@ tptp.produc7726050920695093128at_nat (@ (@ tptp.sup_su3642409539654194069at_nat I3) J3)) C3) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.produc7726050920695093128at_nat I3) C3)) (@ (@ tptp.produc7726050920695093128at_nat J3) C3)))) (forall ((I3 tptp.set_nat) (J3 tptp.set_nat) (C3 (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.inf_inf_set_nat I3) J3)) C3) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.produc457027306803732586at_nat I3) C3)) (@ (@ tptp.produc457027306803732586at_nat J3) C3)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.inj_on_nat_rat G) B5) (=> (= (@ (@ tptp.inf_inf_set_rat (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.image_nat_rat G) B5)) tptp.bot_bot_set_rat) (@ (@ tptp.inj_on_nat_rat (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_rat (@ (@ tptp.member_nat X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.inj_on_nat_int G) B5) (=> (= (@ (@ tptp.inf_inf_set_int (@ (@ tptp.image_nat_int F) A4)) (@ (@ tptp.image_nat_int G) B5)) tptp.bot_bot_set_int) (@ (@ tptp.inj_on_nat_int (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.member_nat X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.inj_on_int_int G) B5) (=> (= (@ (@ tptp.inf_inf_set_int (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.image_int_int G) B5)) tptp.bot_bot_set_int) (@ (@ tptp.inj_on_int_int (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_int (@ (@ tptp.member_int X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_int A4) B5)))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (G (-> Bool tptp.product_unit)) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on4268752236855399398t_unit F) A4) (=> (@ (@ tptp.inj_on4268752236855399398t_unit G) B5) (=> (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ (@ tptp.image_o_Product_unit F) A4)) (@ (@ tptp.image_o_Product_unit G) B5)) tptp.bot_bo3957492148770167129t_unit) (@ (@ tptp.inj_on4268752236855399398t_unit (lambda ((X4 Bool)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_o X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_o A4) B5)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.product_unit)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on7061601236592826506t_unit F) A4) (=> (@ (@ tptp.inj_on7061601236592826506t_unit G) B5) (=> (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ (@ tptp.image_8730104196221521654t_unit G) B5)) tptp.bot_bo3957492148770167129t_unit) (@ (@ tptp.inj_on7061601236592826506t_unit (lambda ((X4 tptp.nat)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_nat X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on4178023183795006766t_unit F) A4) (=> (@ (@ tptp.inj_on4178023183795006766t_unit G) B5) (=> (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (@ (@ tptp.image_5846526143423701914t_unit G) B5)) tptp.bot_bo3957492148770167129t_unit) (@ (@ tptp.inj_on4178023183795006766t_unit (lambda ((X4 tptp.int)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_int X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_int A4) B5)))))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (G (-> Bool Bool)) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) A4) (=> (@ (@ tptp.inj_on_o_o G) B5) (=> (= (@ (@ tptp.inf_inf_set_o (@ (@ tptp.image_o_o F) A4)) (@ (@ tptp.image_o_o G) B5)) tptp.bot_bot_set_o) (@ (@ tptp.inj_on_o_o (lambda ((X4 Bool)) (let ((_let_1 (@ (@ tptp.member_o X4) A4))) (and (=> _let_1 (@ F X4)) (=> (not _let_1) (@ G X4)))))) (@ (@ tptp.sup_sup_set_o A4) B5)))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (G (-> tptp.nat Bool)) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (@ (@ tptp.inj_on_nat_o G) B5) (=> (= (@ (@ tptp.inf_inf_set_o (@ (@ tptp.image_nat_o F) A4)) (@ (@ tptp.image_nat_o G) B5)) tptp.bot_bot_set_o) (@ (@ tptp.inj_on_nat_o (lambda ((X4 tptp.nat)) (let ((_let_1 (@ (@ tptp.member_nat X4) A4))) (and (=> _let_1 (@ F X4)) (=> (not _let_1) (@ G X4)))))) (@ (@ tptp.sup_sup_set_nat A4) B5)))))) (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (G (-> tptp.int Bool)) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_o F) A4) (=> (@ (@ tptp.inj_on_int_o G) B5) (=> (= (@ (@ tptp.inf_inf_set_o (@ (@ tptp.image_int_o F) A4)) (@ (@ tptp.image_int_o G) B5)) tptp.bot_bot_set_o) (@ (@ tptp.inj_on_int_o (lambda ((X4 tptp.int)) (let ((_let_1 (@ (@ tptp.member_int X4) A4))) (and (=> _let_1 (@ F X4)) (=> (not _let_1) (@ G X4)))))) (@ (@ tptp.sup_sup_set_int A4) B5)))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (G (-> Bool tptp.nat)) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_nat F) A4) (=> (@ (@ tptp.inj_on_o_nat G) B5) (=> (= (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.image_o_nat F) A4)) (@ (@ tptp.image_o_nat G) B5)) tptp.bot_bot_set_nat) (@ (@ tptp.inj_on_o_nat (lambda ((X4 Bool)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o X4) A4)) (@ F X4)) (@ G X4)))) (@ (@ tptp.sup_sup_set_o A4) B5)))))) (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.produc457027306803732586at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.sup_su6327502436637775413at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.produc2761391749766926216at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.sup_su718114333110466843at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((I3 tptp.set_se7855581050983116737at_nat) (A4 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat)) (B5 (-> tptp.set_Pr1261947904930325089at_nat tptp.set_se7855581050983116737at_nat))) (let ((_let_1 (@ tptp.produc7726050920695093128at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.sup_su3642409539654194069at_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.sup_sup_set_nat A4) B5)) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.produc2761391749766926216at_nat (@ (@ tptp.sup_su6327502436637775413at_nat A4) B5)) (lambda ((Uu tptp.product_prod_nat_nat)) C3)) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.produc2761391749766926216at_nat A4) (lambda ((Uu tptp.product_prod_nat_nat)) C3))) (@ (@ tptp.produc2761391749766926216at_nat B5) (lambda ((Uu tptp.product_prod_nat_nat)) C3))))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (B5 tptp.set_se7855581050983116737at_nat) (C3 tptp.set_se7855581050983116737at_nat)) (= (@ (@ tptp.produc7726050920695093128at_nat (@ (@ tptp.sup_su3642409539654194069at_nat A4) B5)) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) C3)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.produc7726050920695093128at_nat A4) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) C3))) (@ (@ tptp.produc7726050920695093128at_nat B5) (lambda ((Uu tptp.set_Pr1261947904930325089at_nat)) C3))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (C3 tptp.set_Pr1261947904930325089at_nat) (D tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in4302113700860409141at_nat (@ (@ tptp.produc2761391749766926216at_nat A4) (lambda ((Uu tptp.product_prod_nat_nat)) B5))) (@ (@ tptp.produc2761391749766926216at_nat C3) (lambda ((Uu tptp.product_prod_nat_nat)) D))) (@ (@ tptp.produc2761391749766926216at_nat (@ (@ tptp.inf_in2572325071724192079at_nat A4) C3)) (lambda ((Uu tptp.product_prod_nat_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat B5) D))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat) (D tptp.set_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.produc457027306803732586at_nat C3) (lambda ((Uu tptp.nat)) D))) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.inf_inf_set_nat A4) C3)) (lambda ((Uu tptp.nat)) (@ (@ tptp.inf_inf_set_nat B5) D))))) (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.produc457027306803732586at_nat I3))) (= (@ _let_1 (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 I2)) (@ B5 I2)))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (C3 tptp.set_nat)) (= (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.inf_inf_set_nat A4) B5)) (lambda ((Uu tptp.nat)) C3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) C3))) (@ (@ tptp.produc457027306803732586at_nat B5) (lambda ((Uu tptp.nat)) C3))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (let ((_let_2 (@ tptp.inj_on_nat_rat F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_rat (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat B5) A4))) tptp.bot_bot_set_rat)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ tptp.inj_on_nat_int F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_int (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat B5) A4))) tptp.bot_bot_set_int)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ tptp.inj_on_int_int F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_int A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_int (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int B5) A4))) tptp.bot_bot_set_int)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ tptp.inj_on_nat_nat F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_nat (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_nat B5) A4))) tptp.bot_bot_set_nat)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ tptp.inj_on_int_nat F))) (= (@ _let_2 (@ (@ tptp.sup_sup_set_int A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_nat (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5))) (@ _let_1 (@ (@ tptp.minus_minus_set_int B5) A4))) tptp.bot_bot_set_nat)))))) (forall ((F (-> tptp.produc859450856879609959at_nat tptp.product_unit)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_8487516615895632747t_unit F))) (let ((_let_2 (@ tptp.inj_on1041401102088758999t_unit F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bo3957492148770167129t_unit)))))) (forall ((F (-> tptp.produc859450856879609959at_nat Bool)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_3275415580317762038_nat_o F))) (let ((_let_2 (@ tptp.inj_on991952103320416098_nat_o F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_o (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bot_set_o)))))) (forall ((F (-> tptp.produc859450856879609959at_nat tptp.nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6160980552072806642at_nat F))) (let ((_let_2 (@ tptp.inj_on490725545064285830at_nat F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_inf_set_nat (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bot_set_nat)))))) (forall ((F (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7082456443403096939t_unit F))) (let ((_let_2 (@ tptp.inj_on3108384905993948887t_unit F))) (= (@ _let_2 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_in4660618365625256667t_unit (@ _let_1 (@ (@ tptp.minus_3314409938677909166at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_3314409938677909166at_nat B5) A4))) tptp.bot_bo3957492148770167129t_unit)))))) (forall ((F (-> tptp.produc859450856879609959at_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6706873702294942047at_nat F))) (let ((_let_2 (@ tptp.inj_on229527429751349963at_nat F))) (= (@ _let_2 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (and (@ _let_2 A4) (@ _let_2 B5) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat A4) B5))) (@ _let_1 (@ (@ tptp.minus_8321449233255521966at_nat B5) A4))) tptp.bot_bo2099793752762293965at_nat)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_set_int)) (=> (@ (@ tptp.inj_on_int_nat F) (@ tptp.comple3221217463730067765et_int A4)) (@ (@ tptp.inj_on1389844818000382683et_nat (@ tptp.image_int_nat F)) A4))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_set_int)) (=> (@ (@ tptp.inj_on_int_int F) (@ tptp.comple3221217463730067765et_int A4)) (@ (@ tptp.inj_on6435365835345961783et_int (@ tptp.image_int_int F)) A4))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) (@ tptp.comple7399068483239264473et_nat A4)) (@ (@ tptp.inj_on1096178645466186887et_rat (@ tptp.image_nat_rat F)) A4))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) (@ tptp.comple7399068483239264473et_nat A4)) (@ (@ tptp.inj_on4604407203859583615et_nat (@ tptp.image_nat_nat F)) A4))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) (@ tptp.comple7399068483239264473et_nat A4)) (@ (@ tptp.inj_on426556184350386907et_int (@ tptp.image_nat_int F)) A4))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_3)) (@ tptp.complete_Sup_Sup_nat _let_2))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_3)) (@ tptp.complete_Sup_Sup_nat _let_2))))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_3)) (@ tptp.complete_Sup_Sup_int _let_2))))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_3)) (@ tptp.comple4687483117567863418t_unit _let_2))))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_3)) (@ tptp.comple4687483117567863418t_unit _let_2))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_3)) (@ tptp.comple4687483117567863418t_unit _let_2))))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_2) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat _let_3)) (@ tptp.comple7399068483239264473et_nat _let_2))))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_3)) (@ tptp.complete_Inf_Inf_nat _let_2))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_3)) (@ tptp.complete_Inf_Inf_nat _let_2))))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_3)) (@ tptp.complete_Inf_Inf_int _let_2))))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_3)) (@ tptp.comple2584293577114468500t_unit _let_2))))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_o A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_3)) (@ tptp.comple2584293577114468500t_unit _let_2))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_3) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_3)) (@ tptp.comple2584293577114468500t_unit _let_2))))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 B5))) (let ((_let_3 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_3) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_2) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su793286257634532545t_unit A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat _let_3)) (@ tptp.comple7806235888213564991et_nat _let_2))))))))))) (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_rat (@ _let_1 A4)) (@ _let_1 B5)))))))) (forall ((F (-> tptp.nat tptp.nat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))) (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))) (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))))) (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5168914502847457605at_nat F))) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) C3) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) C3) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) C3) (= (@ _let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_rat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.char tptp.product_prod_nat_nat)) (A4 tptp.set_char) (B5 tptp.set_char)) (let ((_let_1 (@ tptp.image_8382823969816519465at_nat F))) (=> (@ (@ tptp.inj_on1021528964648911549at_nat F) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.inf_inf_set_char A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.rat tptp.product_prod_nat_nat)) (A4 tptp.set_rat) (B5 tptp.set_rat)) (let ((_let_1 (@ tptp.image_9175953278516507234at_nat F))) (=> (@ (@ tptp.inj_on8867882244352206326at_nat F) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_rat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_5846123807819985514at_nat F))) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.int tptp.product_prod_nat_nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_8883965892284119310at_nat F))) (=> (@ (@ tptp.inj_on8575894858119818402at_nat F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.list_nat tptp.product_prod_nat_nat)) (A4 tptp.set_list_nat) (B5 tptp.set_list_nat)) (let ((_let_1 (@ tptp.image_2795870212791037530at_nat F))) (=> (@ (@ tptp.inj_on7574789179980466158at_nat F) tptp.top_top_set_list_nat) (= (@ _let_1 (@ (@ tptp.inf_inf_set_list_nat A4) B5)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ (@ tptp.inj_on1096178645466186887et_rat (@ tptp.image_nat_rat F)) (@ tptp.pow_nat A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ (@ tptp.inj_on4604407203859583615et_nat (@ tptp.image_nat_nat F)) (@ tptp.pow_nat A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ (@ tptp.inj_on426556184350386907et_int (@ tptp.image_nat_int F)) (@ tptp.pow_nat A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ (@ tptp.inj_on1389844818000382683et_nat (@ tptp.image_int_nat F)) (@ tptp.pow_int A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ (@ tptp.inj_on6435365835345961783et_int (@ tptp.image_int_int F)) (@ tptp.pow_int A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ (@ tptp.inj_on1096178645466186887et_rat (@ tptp.image_nat_rat F)) (@ tptp.finite_Fpow_nat A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ (@ tptp.inj_on4604407203859583615et_nat (@ tptp.image_nat_nat F)) (@ tptp.finite_Fpow_nat A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ (@ tptp.inj_on426556184350386907et_int (@ tptp.image_nat_int F)) (@ tptp.finite_Fpow_nat A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ (@ tptp.inj_on1389844818000382683et_nat (@ tptp.image_int_nat F)) (@ tptp.finite_Fpow_int A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ (@ tptp.inj_on6435365835345961783et_int (@ tptp.image_int_int F)) (@ tptp.finite_Fpow_int A4)))) (forall ((F3 (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat F3) F)) A4) (@ (@ tptp.inj_on_nat_o F) A4))) (forall ((F3 (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int F3) F)) A4) (@ (@ tptp.inj_on_int_nat F) A4))) (forall ((F3 (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat F3) F)) A4) (@ (@ tptp.inj_on_nat_nat F) A4))) (forall ((F3 (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int F3) F)) A4) (@ (@ tptp.inj_on_int_int F) A4))) (forall ((F3 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer)) (=> (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger F3) F)) A4) (@ (@ tptp.inj_on108595395805848489nteger F) A4))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6654316230217496229at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_3876558564303283877at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr8693737435421807431at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7260680879217540773at_nat M))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4))) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr4329608150637261639at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7364710425340685989at_nat M))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ _let_1 A4))) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4))) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.product_unit)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_8487516615895632747t_unit M))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4))) (@ tptp.comple4687483117567863418t_unit (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7082456443403096939t_unit M))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4))) (@ tptp.comple4687483117567863418t_unit (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_1384942819424619199at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7979982168039674559at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.product_unit)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_8487516615895632747t_unit M))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4))) (@ tptp.comple2584293577114468500t_unit (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.product_unit)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7082456443403096939t_unit M))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4))) (@ tptp.comple2584293577114468500t_unit (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5)) (@ (@ tptp.sup_sup_set_rat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5)) (@ (@ tptp.sup_sup_set_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_nat A4) B5)) (@ (@ tptp.sup_sup_set_int (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5)) (@ (@ tptp.sup_sup_set_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ (@ tptp.sup_sup_set_int A4) B5)) (@ (@ tptp.sup_sup_set_int (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.produc859450856879609959at_nat tptp.produc859450856879609959at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_6321802852832981957at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (@ (@ tptp.sup_su718114333110466843at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.produc859450856879609959at_nat tptp.produc3843707927480180839at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_7637461350386011077at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.produc3843707927480180839at_nat tptp.produc859450856879609959at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_5653576389946358725at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5)) (@ (@ tptp.sup_su718114333110466843at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.produc3843707927480180839at_nat tptp.produc3843707927480180839at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_960689587819713477at_nat F))) (= (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_1384942819424619199at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_7979982168039674559at_nat M))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4))) (@ tptp.comple1930127330929219688at_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc859450856879609959at_nat tptp.set_nat)) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.image_2819269535336293544et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))) (forall ((M (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.image_3160451284896210088et_nat M))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4))) (@ tptp.comple7806235888213564991et_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.set_Pr4329608150637261639at_nat tptp.set_Pr4329608150637261639at_nat)) (X5 tptp.set_se5479201105039950375at_nat)) (@ (@ tptp.inj_on1468925692805905105at_nat (lambda ((X4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat X4) (@ F X4)))) X5)) (forall ((F (-> tptp.set_Pr1261947904930325089at_nat tptp.set_Pr1261947904930325089at_nat)) (X5 tptp.set_se7855581050983116737at_nat)) (@ (@ tptp.inj_on699426629415580343at_nat (lambda ((X4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat X4) (@ F X4)))) X5)) (forall ((F (-> tptp.nat tptp.num)) (X5 tptp.set_nat)) (@ (@ tptp.inj_on6246296710604522312at_num (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_num X4) (@ F X4)))) X5)) (forall ((F (-> tptp.nat tptp.nat)) (X5 tptp.set_nat)) (@ (@ tptp.inj_on5538052773655684606at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat X4) (@ F X4)))) X5)) (forall ((F (-> tptp.int tptp.int)) (X5 tptp.set_int)) (@ (@ tptp.inj_on5397397550511676250nt_int (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int X4) (@ F X4)))) X5)) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat)) (=> (forall ((X tptp.produc3843707927480180839at_nat) (Y tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat X) A4) (=> (@ (@ tptp.member8757157785044589968at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X) Y)) R) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat Y) X)) R)))))) (@ (@ tptp.total_1513685709984341995at_nat A4) R))) (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o)) (=> (forall ((X Bool) (Y Bool)) (=> (@ (@ tptp.member_o X) A4) (=> (@ (@ tptp.member_o Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X) Y)) R) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o Y) X)) R)))))) (@ (@ tptp.total_on_o A4) R))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat)) (=> (forall ((X tptp.set_Pr4329608150637261639at_nat) (Y tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat X) A4) (=> (@ (@ tptp.member6273874620674182256at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X) Y)) R) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat Y) X)) R)))))) (@ (@ tptp.total_5117575981256876747at_nat A4) R))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat)) (=> (forall ((X tptp.set_Pr1261947904930325089at_nat) (Y tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat X) A4) (=> (@ (@ tptp.member2643936169264416010at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X) Y)) R) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat Y) X)) R)))))) (@ (@ tptp.total_7212417256332265445at_nat A4) R))) (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat)) (=> (forall ((X tptp.nat) (Y tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (=> (@ (@ tptp.member_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X) Y)) R) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat Y) X)) R)))))) (@ (@ tptp.total_on_nat A4) R))) (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int)) (=> (forall ((X tptp.int) (Y tptp.int)) (=> (@ (@ tptp.member_int X) A4) (=> (@ (@ tptp.member_int Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X) Y)) R) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int Y) X)) R)))))) (@ (@ tptp.total_on_int A4) R))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat)) (=> (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X) A4) (=> (@ (@ tptp.member8440522571783428010at_nat Y) A4) (=> (not (= X Y)) (or (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X) Y)) R) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat Y) X)) R)))))) (@ (@ tptp.total_3592101749530773125at_nat A4) R))) _let_103 _let_102 _let_101 _let_100 _let_99 (forall ((A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (= (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (= (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_sup_set_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.product_unit))) (= (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit A4) tptp.top_top_set_o)) (@ (@ tptp.sup_sup_Product_unit (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_inf_set_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.product_unit))) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit A4) tptp.top_top_set_o)) (@ (@ tptp.inf_inf_Product_unit (@ A4 true)) (@ A4 false)))) (forall ((F (-> Bool Bool))) (=> (@ (@ tptp.inj_on_o_o F) tptp.top_top_set_o) (@ (@ tptp.inj_on_nat_o_nat_o (@ tptp.comp_o_o_nat F)) tptp.top_top_set_nat_o))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (@ (@ tptp.inj_on3998011822705705585nteger F) tptp.top_to3804862627464599871nteger) (@ (@ tptp.inj_on5500977043710295017nteger (@ tptp.comp_C8797469213163452608nteger F)) tptp.top_to3639204395728341691nteger))) (forall ((F (-> tptp.nat tptp.num))) (=> (@ (@ tptp.inj_on_nat_num F) tptp.top_top_set_nat) (@ (@ tptp.inj_on5377432224680912883nt_num (@ tptp.comp_nat_num_int F)) tptp.top_top_set_int_nat))) (forall ((F (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (@ (@ tptp.inj_on2461717442902640625at_nat (@ tptp.comp_nat_nat_nat F)) tptp.top_top_set_nat_nat))) (forall ((F (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (@ (@ tptp.inj_on856898432580761861nt_nat (@ tptp.comp_int_nat_int F)) tptp.top_top_set_int_int))) _let_98 _let_97 _let_96 (forall ((A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (= (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (= (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.sup_sup_set_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_2)) (@ tptp.complete_Sup_Sup_nat _let_1)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((A5 tptp.int)) (@ (@ tptp.sup_sup_nat (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.sup_sup_nat (@ tptp.complete_Sup_Sup_nat _let_2)) (@ tptp.complete_Sup_Sup_nat _let_1)) (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((A5 tptp.nat)) (@ (@ tptp.sup_sup_nat (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) A4))) (let ((_let_2 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int (lambda ((A5 tptp.int)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (G (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) A4))) (let ((_let_2 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int (lambda ((A5 tptp.product_unit)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (G (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) A4))) (let ((_let_2 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int (lambda ((A5 Bool)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.sup_sup_int (@ tptp.complete_Sup_Sup_int _let_2)) (@ tptp.complete_Sup_Sup_int _let_1)) (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int (lambda ((A5 tptp.nat)) (@ (@ tptp.sup_sup_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (G (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_2)) (@ tptp.comple4687483117567863418t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((A5 tptp.product_unit)) (@ (@ tptp.sup_sup_Product_unit (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_2)) (@ tptp.comple4687483117567863418t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit (lambda ((A5 Bool)) (@ (@ tptp.sup_sup_Product_unit (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple4687483117567863418t_unit _let_2)) (@ tptp.comple4687483117567863418t_unit _let_1)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((A5 tptp.nat)) (@ (@ tptp.sup_sup_Product_unit (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (G (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_8173849991827986510et_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_2) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (= (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat _let_2)) (@ tptp.comple7399068483239264473et_nat _let_1)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((A5 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_2)) (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((A5 tptp.int)) (@ (@ tptp.inf_inf_nat (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.inf_inf_nat (@ tptp.complete_Inf_Inf_nat _let_2)) (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((A5 tptp.nat)) (@ (@ tptp.inf_inf_nat (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) A4))) (let ((_let_2 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((A5 tptp.int)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (G (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) A4))) (let ((_let_2 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int (lambda ((A5 tptp.product_unit)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (G (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) A4))) (let ((_let_2 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int (lambda ((A5 Bool)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) A4))) (let ((_let_2 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.inf_inf_int (@ tptp.complete_Inf_Inf_int _let_2)) (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((A5 tptp.nat)) (@ (@ tptp.inf_inf_int (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (G (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_2)) (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((A5 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (G (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_2)) (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((A5 Bool)) (@ (@ tptp.inf_inf_Product_unit (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit G) A4))) (let ((_let_2 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit _let_2)) (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((A5 tptp.nat)) (@ (@ tptp.inf_inf_Product_unit (@ F A5)) (@ G A5)))) A4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (G (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_8173849991827986510et_nat G) A4))) (let ((_let_2 (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_2) (=> (@ tptp.condit68592940725977398et_nat _let_1) (= (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat _let_2)) (@ tptp.comple7806235888213564991et_nat _let_1)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((A5 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ F A5)) (@ G A5)))) A4))))))))) (forall ((P tptp.produc7812382424243267045t_unit)) (@ (@ tptp.member_ref_a (@ tptp.produc473321116828791851t_unit P)) (@ tptp.basic_685971451221398055t_unit P))) (forall ((A tptp.ref_a) (P tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.member_ref_a A) (@ tptp.basic_685971451221398055t_unit P)) (= A (@ tptp.produc473321116828791851t_unit P)))) (forall ((A tptp.ref_a) (P tptp.produc7812382424243267045t_unit)) (=> (@ (@ tptp.member_ref_a A) (@ tptp.basic_685971451221398055t_unit P)) (= A (@ tptp.produc473321116828791851t_unit P)))) (forall ((A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 true)) (@ A4 false)))) (forall ((A4 (-> Bool tptp.set_nat))) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) tptp.top_top_set_o)) (@ (@ tptp.inf_inf_set_nat (@ A4 true)) (@ A4 false)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_nat _let_1))) (=> (= (@ tptp.complete_Sup_Sup_nat _let_1) _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_nat _let_1))) (=> (= (@ tptp.complete_Sup_Sup_nat _let_1) _let_2) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_int A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_int _let_1))) (=> (= (@ tptp.complete_Sup_Sup_int _let_1) _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_o A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_int _let_1))) (=> (= (@ tptp.complete_Sup_Sup_int _let_1) _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (let ((_let_2 (@ tptp.complete_Inf_Inf_int _let_1))) (=> (= (@ tptp.complete_Sup_Sup_int _let_1) _let_2) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_int A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (let ((_let_2 (@ tptp.comple2584293577114468500t_unit _let_1))) (=> (= (@ tptp.comple4687483117567863418t_unit _let_1) _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_o A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (let ((_let_2 (@ tptp.comple2584293577114468500t_unit _let_1))) (=> (= (@ tptp.comple4687483117567863418t_unit _let_1) _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (A tptp.int)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (let ((_let_2 (@ tptp.comple2584293577114468500t_unit _let_1))) (=> (= (@ tptp.comple4687483117567863418t_unit _let_1) _let_2) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_int A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (A Bool)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (let ((_let_2 (@ tptp.comple7806235888213564991et_nat _let_1))) (=> (= (@ tptp.comple7399068483239264473et_nat _let_1) _let_2) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_o A) A4) (= (@ F A) _let_2)))))))) (forall ((F (-> tptp.nat tptp.set_nat)) (A4 tptp.set_nat) (A tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_set_nat F) A4))) (let ((_let_2 (@ tptp.comple7806235888213564991et_nat _let_1))) (=> (= (@ tptp.comple7399068483239264473et_nat _let_1) _let_2) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_nat A) A4) (= (@ F A) _let_2)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.sup_sup_nat (@ F A)) (@ tptp.complete_Sup_Sup_nat _let_2)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_2) (= (@ tptp.complete_Sup_Sup_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_nat (@ F A)) (@ tptp.complete_Sup_Sup_nat _let_2)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (A Bool)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_2) (= (@ tptp.complete_Sup_Sup_int (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_int (@ F A)) (@ tptp.complete_Sup_Sup_int _let_2)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit _let_2)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (A Bool)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit _let_2)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2080475194861589617t_unit _let_2) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit _let_2)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit5477540289124974626et_nat _let_2) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat _let_2)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.inf_inf_nat (@ F A)) (@ tptp.complete_Inf_Inf_nat _let_2)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_2) (= (@ tptp.complete_Inf_Inf_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_nat (@ F A)) (@ tptp.complete_Inf_Inf_nat _let_2)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (A tptp.int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_int A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_873079544045703924it_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (A Bool)) (let ((_let_1 (@ tptp.image_o_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_2) (= (@ tptp.complete_Inf_Inf_int (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_int (@ F A)) (@ tptp.complete_Inf_Inf_int _let_2)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit _let_2)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (A Bool)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit _let_2)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (A tptp.nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit9161856309968323677t_unit _let_2) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit _let_2)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (let ((_let_2 (@ _let_1 A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit68592940725977398et_nat _let_2) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat _let_2)))))))) (forall ((F (-> Bool Bool)) (B5 tptp.set_o) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.member_o A))) (=> (@ (@ tptp.inj_on_o_o F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_o_o F) A4)) (@ _let_1 A4))))))) (forall ((F (-> Bool tptp.nat)) (B5 tptp.set_o) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.member_o A))) (=> (@ (@ tptp.inj_on_o_nat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_o_nat F) A4)) (@ _let_1 A4))))))) (forall ((F (-> Bool tptp.int)) (B5 tptp.set_o) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.member_o A))) (=> (@ (@ tptp.inj_on_o_int F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_o_int F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_rat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_rat (@ F A)) (@ (@ tptp.image_nat_rat F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.nat Bool)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_o F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_nat_o F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_nat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_nat_nat F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.member_nat A))) (=> (@ (@ tptp.inj_on_nat_int F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_nat_int F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.int Bool)) (B5 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.member_int A))) (=> (@ (@ tptp.inj_on_int_o F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_int_o F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.int tptp.nat)) (B5 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.member_int A))) (=> (@ (@ tptp.inj_on_int_nat F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_int_nat F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.int tptp.int)) (B5 tptp.set_int) (A tptp.int) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.member_int A))) (=> (@ (@ tptp.inj_on_int_int F) B5) (=> (@ _let_1 B5) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_int_int F) A4)) (@ _let_1 A4))))))) (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))) (forall ((F (-> tptp.nat tptp.nat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))) (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat A4) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))) (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))) (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_int A4) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))))) (forall ((S5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (T3 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_rat S5) (@ (@ tptp.image_nat_rat F) T3)) (exists ((U2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat U2) T3) (@ (@ tptp.inj_on_nat_rat F) U2) (= S5 (@ (@ tptp.image_nat_rat F) U2)))))) (forall ((S5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (T3 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat S5) (@ (@ tptp.image_nat_nat F) T3)) (exists ((U2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat U2) T3) (@ (@ tptp.inj_on_nat_nat F) U2) (= S5 (@ (@ tptp.image_nat_nat F) U2)))))) (forall ((S5 tptp.set_int) (F (-> tptp.nat tptp.int)) (T3 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_int S5) (@ (@ tptp.image_nat_int F) T3)) (exists ((U2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat U2) T3) (@ (@ tptp.inj_on_nat_int F) U2) (= S5 (@ (@ tptp.image_nat_int F) U2)))))) (forall ((S5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (T3 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_nat S5) (@ (@ tptp.image_int_nat F) T3)) (exists ((U2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int U2) T3) (@ (@ tptp.inj_on_int_nat F) U2) (= S5 (@ (@ tptp.image_int_nat F) U2)))))) (forall ((S5 tptp.set_int) (F (-> tptp.int tptp.int)) (T3 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int S5) (@ (@ tptp.image_int_int F) T3)) (exists ((U2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int U2) T3) (@ (@ tptp.inj_on_int_int F) U2) (= S5 (@ (@ tptp.image_int_int F) U2)))))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on8151373323710067377t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_405062704495631173t_unit F) A4)) (not (forall ((X8 tptp.product_unit) (A8 tptp.set_Product_unit)) (=> (not (@ (@ tptp.member_Product_unit X8) A8)) (=> (= A4 (@ (@ tptp.insert_Product_unit X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_405062704495631173t_unit F) A8)))))))))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on4268752236855399398t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_o_Product_unit F) A4)) (not (forall ((X8 Bool) (A8 tptp.set_o)) (=> (not (@ (@ tptp.member_o X8) A8)) (=> (= A4 (@ (@ tptp.insert_o X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_o_Product_unit F) A8)))))))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (X2 tptp.rat) (B5 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (not (@ (@ tptp.member_rat X2) B5)) (=> (= (@ (@ tptp.insert_rat X2) B5) (@ (@ tptp.image_nat_rat F) A4)) (not (forall ((X8 tptp.nat) (A8 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X8) A8)) (=> (= A4 (@ (@ tptp.insert_nat X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_nat_rat F) A8)))))))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on7061601236592826506t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (not (forall ((X8 tptp.nat) (A8 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X8) A8)) (=> (= A4 (@ (@ tptp.insert_nat X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_8730104196221521654t_unit F) A8)))))))))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.product_unit) (B5 tptp.set_Product_unit)) (=> (@ (@ tptp.inj_on4178023183795006766t_unit F) A4) (=> (not (@ (@ tptp.member_Product_unit X2) B5)) (=> (= (@ (@ tptp.insert_Product_unit X2) B5) (@ (@ tptp.image_5846526143423701914t_unit F) A4)) (not (forall ((X8 tptp.int) (A8 tptp.set_int)) (=> (not (@ (@ tptp.member_int X8) A8)) (=> (= A4 (@ (@ tptp.insert_int X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_5846526143423701914t_unit F) A8)))))))))))) (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_Product_unit) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on8854722734121536060unit_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_Product_unit_o F) A4)) (not (forall ((X8 tptp.product_unit) (A8 tptp.set_Product_unit)) (=> (not (@ (@ tptp.member_Product_unit X8) A8)) (=> (= A4 (@ (@ tptp.insert_Product_unit X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_Product_unit_o F) A8)))))))))))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_o_o F) A4)) (not (forall ((X8 Bool) (A8 tptp.set_o)) (=> (not (@ (@ tptp.member_o X8) A8)) (=> (= A4 (@ (@ tptp.insert_o X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_o_o F) A8)))))))))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_nat_o F) A4)) (not (forall ((X8 tptp.nat) (A8 tptp.set_nat)) (=> (not (@ (@ tptp.member_nat X8) A8)) (=> (= A4 (@ (@ tptp.insert_nat X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_nat_o F) A8)))))))))))) (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_int_o F) A4) (=> (not (@ (@ tptp.member_o X2) B5)) (=> (= (@ (@ tptp.insert_o X2) B5) (@ (@ tptp.image_int_o F) A4)) (not (forall ((X8 tptp.int) (A8 tptp.set_int)) (=> (not (@ (@ tptp.member_int X8) A8)) (=> (= A4 (@ (@ tptp.insert_int X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_int_o F) A8)))))))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_Product_unit) (X2 tptp.nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on8430439091780834860it_nat F) A4) (=> (not (@ (@ tptp.member_nat X2) B5)) (=> (= (@ (@ tptp.insert_nat X2) B5) (@ (@ tptp.image_875570014554754200it_nat F) A4)) (not (forall ((X8 tptp.product_unit) (A8 tptp.set_Product_unit)) (=> (not (@ (@ tptp.member_Product_unit X8) A8)) (=> (= A4 (@ (@ tptp.insert_Product_unit X8) A8)) (=> (= X2 (@ F X8)) (not (= B5 (@ (@ tptp.image_875570014554754200it_nat F) A8)))))))))))) (forall ((F (-> Bool Bool)) (A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) tptp.top_top_set_o) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_o_o F) A4)) (@ (@ tptp.member_o A) A4)))) (forall ((F (-> Bool tptp.nat)) (A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_nat F) tptp.top_top_set_o) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_o_nat F) A4)) (@ (@ tptp.member_o A) A4)))) (forall ((F (-> Bool tptp.int)) (A Bool) (A4 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_int F) tptp.top_top_set_o) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_o_int F) A4)) (@ (@ tptp.member_o A) A4)))) (forall ((F (-> tptp.char Bool)) (A tptp.char) (A4 tptp.set_char)) (=> (@ (@ tptp.inj_on_char_o F) tptp.top_top_set_char) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_char_o F) A4)) (@ (@ tptp.member_char A) A4)))) (forall ((F (-> tptp.char tptp.nat)) (A tptp.char) (A4 tptp.set_char)) (=> (@ (@ tptp.inj_on_char_nat F) tptp.top_top_set_char) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_char_nat F) A4)) (@ (@ tptp.member_char A) A4)))) (forall ((F (-> tptp.char tptp.int)) (A tptp.char) (A4 tptp.set_char)) (=> (@ (@ tptp.inj_on_char_int F) tptp.top_top_set_char) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_char_int F) A4)) (@ (@ tptp.member_char A) A4)))) (forall ((F (-> tptp.rat Bool)) (A tptp.rat) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_o F) tptp.top_top_set_rat) (= (@ (@ tptp.member_o (@ F A)) (@ (@ tptp.image_rat_o F) A4)) (@ (@ tptp.member_rat A) A4)))) (forall ((F (-> tptp.rat tptp.nat)) (A tptp.rat) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_nat F) tptp.top_top_set_rat) (= (@ (@ tptp.member_nat (@ F A)) (@ (@ tptp.image_rat_nat F) A4)) (@ (@ tptp.member_rat A) A4)))) (forall ((F (-> tptp.rat tptp.int)) (A tptp.rat) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_int F) tptp.top_top_set_rat) (= (@ (@ tptp.member_int (@ F A)) (@ (@ tptp.image_rat_int F) A4)) (@ (@ tptp.member_rat A) A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A tptp.nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.member_rat (@ F A)) (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.member_nat A) A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (= (@ _let_1 A4) (@ _let_1 B5)) (= A4 B5))))) (forall ((F (-> tptp.char Bool)) (B Bool)) (=> (@ (@ tptp.inj_on_char_o F) tptp.top_top_set_char) (= (@ (@ tptp.member_o B) (@ (@ tptp.image_char_o F) tptp.top_top_set_char)) (exists ((X4 tptp.char)) (and (= B (@ F X4)) (forall ((Y5 tptp.char)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.char tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.inj_on_char_nat F) tptp.top_top_set_char) (= (@ (@ tptp.member_nat B) (@ (@ tptp.image_char_nat F) tptp.top_top_set_char)) (exists ((X4 tptp.char)) (and (= B (@ F X4)) (forall ((Y5 tptp.char)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.char tptp.int)) (B tptp.int)) (=> (@ (@ tptp.inj_on_char_int F) tptp.top_top_set_char) (= (@ (@ tptp.member_int B) (@ (@ tptp.image_char_int F) tptp.top_top_set_char)) (exists ((X4 tptp.char)) (and (= B (@ F X4)) (forall ((Y5 tptp.char)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.rat Bool)) (B Bool)) (=> (@ (@ tptp.inj_on_rat_o F) tptp.top_top_set_rat) (= (@ (@ tptp.member_o B) (@ (@ tptp.image_rat_o F) tptp.top_top_set_rat)) (exists ((X4 tptp.rat)) (and (= B (@ F X4)) (forall ((Y5 tptp.rat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.rat tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.inj_on_rat_nat F) tptp.top_top_set_rat) (= (@ (@ tptp.member_nat B) (@ (@ tptp.image_rat_nat F) tptp.top_top_set_rat)) (exists ((X4 tptp.rat)) (and (= B (@ F X4)) (forall ((Y5 tptp.rat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.rat tptp.int)) (B tptp.int)) (=> (@ (@ tptp.inj_on_rat_int F) tptp.top_top_set_rat) (= (@ (@ tptp.member_int B) (@ (@ tptp.image_rat_int F) tptp.top_top_set_rat)) (exists ((X4 tptp.rat)) (and (= B (@ F X4)) (forall ((Y5 tptp.rat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.nat tptp.rat)) (B tptp.rat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.member_rat B) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.nat Bool)) (B Bool)) (=> (@ (@ tptp.inj_on_nat_o F) tptp.top_top_set_nat) (= (@ (@ tptp.member_o B) (@ (@ tptp.image_nat_o F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.nat tptp.nat)) (B tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.member_nat B) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.nat tptp.int)) (B tptp.int)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ (@ tptp.member_int B) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) (exists ((X4 tptp.nat)) (and (= B (@ F X4)) (forall ((Y5 tptp.nat)) (=> (= B (@ F Y5)) (= Y5 X4)))))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (G (-> Bool Bool))) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (@ (@ tptp.inj_on_o_o G) (@ (@ tptp.image_nat_o F) A4)) (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4)))) (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (@ (@ tptp.inj_on108595395805848489nteger F) A4) (=> (@ (@ tptp.inj_on3998011822705705585nteger G) (@ (@ tptp.image_2177946750938214461nteger F) A4)) (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.inj_on_nat_nat G) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.num))) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.inj_on_nat_num G) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.inj_on_int_nat G) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4)))) (forall ((G (-> Bool Bool)) (F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat G) F)) A4) (@ (@ tptp.inj_on_o_o G) (@ (@ tptp.image_nat_o F) A4)))) (forall ((G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer)) (=> (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) A4) (@ (@ tptp.inj_on3998011822705705585nteger G) (@ (@ tptp.image_2177946750938214461nteger F) A4)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) A4) (@ (@ tptp.inj_on_nat_nat G) (@ (@ tptp.image_nat_nat F) A4)))) (forall ((G (-> tptp.nat tptp.num)) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int G) F)) A4) (@ (@ tptp.inj_on_nat_num G) (@ (@ tptp.image_int_nat F) A4)))) (forall ((G (-> tptp.int tptp.nat)) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int G) F)) A4) (@ (@ tptp.inj_on_int_nat G) (@ (@ tptp.image_int_int F) A4)))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (F3 (-> Bool Bool))) (=> (@ (@ tptp.inj_on_nat_o F) A4) (= (@ (@ tptp.inj_on_o_o F3) (@ (@ tptp.image_nat_o F) A4)) (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat F3) F)) A4)))) (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (A4 tptp.set_Code_integer) (F3 (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (=> (@ (@ tptp.inj_on108595395805848489nteger F) A4) (= (@ (@ tptp.inj_on3998011822705705585nteger F3) (@ (@ tptp.image_2177946750938214461nteger F) A4)) (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger F3) F)) A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (F3 (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ (@ tptp.inj_on_nat_nat F3) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat F3) F)) A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (F3 (-> tptp.nat tptp.num))) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ (@ tptp.inj_on_nat_num F3) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int F3) F)) A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (F3 (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ (@ tptp.inj_on_int_nat F3) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int F3) F)) A4)))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer))) (=> (@ (@ tptp.inj_on3998011822705705585nteger F) tptp.top_to3804862627464599871nteger) (=> (@ (@ tptp.inj_on108595395805848489nteger G) tptp.top_to4645266643341252675nteger) (@ (@ tptp.inj_on7031512951821619701nteger (@ (@ tptp.comp_C8797469213163452608nteger F) G)) tptp.top_to4645266643341252675nteger)))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool))) (=> (@ (@ tptp.inj_on_o_o F) tptp.top_top_set_o) (=> (@ (@ tptp.inj_on_nat_o G) tptp.top_top_set_nat) (@ (@ tptp.inj_on_nat_o (@ (@ tptp.comp_o_o_nat F) G)) tptp.top_top_set_nat)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (=> (@ (@ tptp.inj_on_nat_nat G) tptp.top_top_set_nat) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.comp_nat_nat_nat F) G)) tptp.top_top_set_nat)))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_nat_num F) tptp.top_top_set_nat) (=> (@ (@ tptp.inj_on_int_nat G) tptp.top_top_set_int) (@ (@ tptp.inj_on_int_num (@ (@ tptp.comp_nat_num_int F) G)) tptp.top_top_set_int)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (=> (@ (@ tptp.inj_on_int_int G) tptp.top_top_set_int) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.comp_int_nat_int F) G)) tptp.top_top_set_int)))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat A))) (= (@ _let_1 (@ tptp.comple5685304695842803022at_nat B5)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat _let_1) B5))))) (forall ((A tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat A))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat B5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))) (forall ((A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.inf_inf_Product_unit A))) (= (@ _let_1 (@ tptp.comple4687483117567863418t_unit B5)) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit _let_1) B5))))) (forall ((A tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_se6425085446898223655at_nat)) (let ((_let_1 (@ tptp.sup_su718114333110466843at_nat A))) (= (@ _let_1 (@ tptp.comple6332534001959699150at_nat B5)) (@ tptp.comple6332534001959699150at_nat (@ (@ tptp.image_1013614488123988933at_nat _let_1) B5))))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_se5479201105039950375at_nat)) (let ((_let_1 (@ tptp.sup_su5525570899277871387at_nat A))) (= (@ _let_1 (@ tptp.comple6751905152567503566at_nat B5)) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4303274092540115909at_nat _let_1) B5))))) (forall ((A tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.sup_sup_set_nat A))) (= (@ _let_1 (@ tptp.comple7806235888213564991et_nat B5)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))) (forall ((A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.sup_sup_Product_unit A))) (= (@ _let_1 (@ tptp.comple2584293577114468500t_unit B5)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit _let_1) B5))))) (forall ((A4 tptp.set_o) (M tptp.nat) (F (-> Bool tptp.nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat M) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_o_nat F) A4)))) (forall ((A4 tptp.set_nat) (M tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat M) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4)))) (forall ((A4 tptp.set_int) (M tptp.nat) (F (-> tptp.int tptp.nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat M) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4)))) (forall ((A4 tptp.set_o) (M tptp.int) (F (-> Bool tptp.int))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int M) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_o_int F) A4)))) (forall ((A4 tptp.set_nat) (M tptp.int) (F (-> tptp.nat tptp.int))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int M) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4)))) (forall ((A4 tptp.set_int) (M tptp.int) (F (-> tptp.int tptp.int))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int M) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4)))) (forall ((A4 tptp.set_o) (M tptp.rat) (F (-> Bool tptp.rat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_rat M) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_o_rat F) A4)))) (forall ((A4 tptp.set_nat) (M tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_rat M) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4)))) (forall ((A4 tptp.set_int) (M tptp.rat) (F (-> tptp.int tptp.rat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_rat M) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_int_rat F) A4)))) (forall ((A4 tptp.set_o) (M tptp.code_integer) (F (-> Bool tptp.code_integer))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3102999989581377725nteger M) (@ F X)))) (@ tptp.condit4933233095834890765nteger (@ (@ tptp.image_o_Code_integer F) A4)))) (forall ((A4 tptp.set_o) (M3 tptp.nat) (F (-> Bool tptp.nat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_o_nat F) A4)))) (forall ((A4 tptp.set_nat) (M3 tptp.nat) (F (-> tptp.nat tptp.nat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4)))) (forall ((A4 tptp.set_int) (M3 tptp.nat) (F (-> tptp.int tptp.nat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat M3) (@ F X)))) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4)))) (forall ((A4 tptp.set_o) (M3 tptp.int) (F (-> Bool tptp.int))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_o_int F) A4)))) (forall ((A4 tptp.set_nat) (M3 tptp.int) (F (-> tptp.nat tptp.int))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4)))) (forall ((A4 tptp.set_int) (M3 tptp.int) (F (-> tptp.int tptp.int))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int M3) (@ F X)))) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4)))) (forall ((A4 tptp.set_o) (M3 tptp.rat) (F (-> Bool tptp.rat))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_rat M3) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_o_rat F) A4)))) (forall ((A4 tptp.set_nat) (M3 tptp.rat) (F (-> tptp.nat tptp.rat))) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_rat M3) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4)))) (forall ((A4 tptp.set_int) (M3 tptp.rat) (F (-> tptp.int tptp.rat))) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_rat M3) (@ F X)))) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_int_rat F) A4)))) (forall ((A4 tptp.set_o) (M3 tptp.code_integer) (F (-> Bool tptp.code_integer))) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3102999989581377725nteger M3) (@ F X)))) (@ tptp.condit4933233095834890765nteger (@ (@ tptp.image_o_Code_integer F) A4)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (M tptp.nat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_o_nat F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (M tptp.nat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (M tptp.nat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) M))) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (M tptp.int)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_o_int F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (M tptp.int)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (M tptp.int)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) M))) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.rat)) (M tptp.rat)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_rat (@ F X)) M))) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_o_rat F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat)) (M tptp.rat)) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_rat (@ F X)) M))) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.rat)) (M tptp.rat)) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_rat (@ F X)) M))) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_int_rat F) A4)))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.code_integer)) (M tptp.code_integer)) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_le3102999989581377725nteger (@ F X)) M))) (@ tptp.condit1118808407379112185nteger (@ (@ tptp.image_o_Code_integer F) A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5))) (@ (@ tptp.inf_inf_set_rat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 (@ (@ tptp.inf_inf_set_nat A4) B5))) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5))) (@ (@ tptp.inf_inf_set_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (@ (@ tptp.ord_less_eq_set_int (@ _let_1 (@ (@ tptp.inf_inf_set_int A4) B5))) (@ (@ tptp.inf_inf_set_int (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5168914502847457605at_nat F))) (@ (@ tptp.ord_le3146513528884898305at_nat (@ _let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ _let_1 A4)) (@ _let_1 B5))))) (forall ((A4 tptp.set_Pr7459493094073627847at_nat)) (@ (@ tptp.inj_on3942866938762682161at_nat (@ tptp.produc5456455677105495163at_nat (lambda ((I2 tptp.set_Pr4329608150637261639at_nat) (J tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.produc9060074326276436823at_nat J) I2)))) A4)) (forall ((A4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.inj_on8430303779476321073at_nat (@ tptp.produc7548845685434208379at_nat (lambda ((I2 tptp.set_Pr1261947904930325089at_nat) (J tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.produc2922128104949294807at_nat J) I2)))) A4)) (forall ((A4 tptp.set_Pr3280342998896498603um_nat)) (@ (@ tptp.inj_on2339680571444523825at_num (@ tptp.produc5219324331026901427at_num (lambda ((I2 tptp.num) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_num J) I2)))) A4)) (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inj_on8969904277767023793at_nat (@ tptp.produc2626176000494625587at_nat (lambda ((I2 tptp.nat) (J tptp.nat)) (@ (@ tptp.product_Pair_nat_nat J) I2)))) A4)) (forall ((A4 tptp.set_Pr958786334691620121nt_int)) (@ (@ tptp.inj_on6454360653267994289nt_int (@ tptp.produc4245557441103728435nt_int (lambda ((I2 tptp.int) (J tptp.int)) (@ (@ tptp.product_Pair_int_int J) I2)))) A4)) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6169909464789311569t_unit A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_sup_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((B5 tptp.set_se7855581050983116737at_nat) (A tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple5685304695842803022at_nat B5)) A) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat (lambda ((B4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat B4) A))) B5)))) (forall ((B5 tptp.set_set_nat) (A tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7399068483239264473et_nat B5)) A) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((B4 tptp.set_nat)) (@ (@ tptp.inf_inf_set_nat B4) A))) B5)))) (forall ((B5 tptp.set_Product_unit) (A tptp.product_unit)) (= (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple4687483117567863418t_unit B5)) A) (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((B4 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit B4) A))) B5)))) (forall ((B5 tptp.set_se6425085446898223655at_nat) (A tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple6332534001959699150at_nat B5)) A) (@ tptp.comple6332534001959699150at_nat (@ (@ tptp.image_1013614488123988933at_nat (lambda ((B4 tptp.set_Pr8693737435421807431at_nat)) (@ (@ tptp.sup_su718114333110466843at_nat B4) A))) B5)))) (forall ((B5 tptp.set_se5479201105039950375at_nat) (A tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple6751905152567503566at_nat B5)) A) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4303274092540115909at_nat (lambda ((B4 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.sup_su5525570899277871387at_nat B4) A))) B5)))) (forall ((B5 tptp.set_set_nat) (A tptp.set_nat)) (= (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7806235888213564991et_nat B5)) A) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((B4 tptp.set_nat)) (@ (@ tptp.sup_sup_set_nat B4) A))) B5)))) (forall ((B5 tptp.set_Product_unit) (A tptp.product_unit)) (= (@ (@ tptp.sup_sup_Product_unit (@ tptp.comple2584293577114468500t_unit B5)) A) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((B4 tptp.product_unit)) (@ (@ tptp.sup_sup_Product_unit B4) A))) B5)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.product_unit))) (let ((_let_1 (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.inf_inf_Product_unit (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_8938366415781434990at_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((A tptp.int) (S2 tptp.set_int) (T2 tptp.set_int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) (@ (@ tptp.inf_inf_set_int S2) T2)) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) S2)) (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.minus_minus_int X4) A))) T2)))) (forall ((A tptp.rat) (S2 tptp.set_rat) (T2 tptp.set_rat)) (= (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) (@ (@ tptp.inf_inf_set_rat S2) T2)) (@ (@ tptp.inf_inf_set_rat (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) S2)) (@ (@ tptp.image_rat_rat (lambda ((X4 tptp.rat)) (@ (@ tptp.minus_minus_rat X4) A))) T2)))) (forall ((A tptp.code_integer) (S2 tptp.set_Code_integer) (T2 tptp.set_Code_integer)) (= (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) (@ (@ tptp.inf_in1364745209274528805nteger S2) T2)) (@ (@ tptp.inf_in1364745209274528805nteger (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) S2)) (@ (@ tptp.image_4470545334726330049nteger (lambda ((X4 tptp.code_integer)) (@ (@ tptp.minus_8373710615458151222nteger X4) A))) T2)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_sup_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_525487068563185620at_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_1087905878993176368at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.produc3843707927480180839at_nat) (I3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat A4) I3)))) (=> (@ (@ tptp.member8757157785044589968at_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_8938366415781434990at_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.produc3843707927480180839at_nat) (I3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat A4) I3)))) (=> (@ (@ tptp.member8757157785044589968at_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.product_prod_nat_nat) (I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3)))) (=> (@ (@ tptp.member8440522571783428010at_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K Bool) (I3 tptp.set_o) (A4 (-> Bool tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) I3)))) (=> (@ (@ tptp.member_o K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.nat) (I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat A4) I3)))) (=> (@ (@ tptp.member_nat K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((K tptp.int) (I3 tptp.set_int) (A4 (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat A4) I3)))) (=> (@ (@ tptp.member_int K) I3) (= (@ (@ tptp.inf_inf_set_nat (@ A4 K)) _let_1) _let_1)))) (forall ((B5 tptp.set_se7855581050983116737at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple5685304695842803022at_nat B5)) A4) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat (lambda ((C5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat C5) A4))) B5)))) (forall ((B5 tptp.set_set_nat) (A4 tptp.set_nat)) (= (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7399068483239264473et_nat B5)) A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((C5 tptp.set_nat)) (@ (@ tptp.inf_inf_set_nat C5) A4))) B5)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_se7855581050983116737at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat A4))) (= (@ _let_1 (@ tptp.comple5685304695842803022at_nat B5)) (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_3684629450409544005at_nat _let_1) B5))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat A4))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat B5)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))) (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (B5 tptp.set_se6425085446898223655at_nat)) (let ((_let_1 (@ tptp.sup_su718114333110466843at_nat A4))) (= (@ _let_1 (@ tptp.comple6332534001959699150at_nat B5)) (@ tptp.comple6332534001959699150at_nat (@ (@ tptp.image_1013614488123988933at_nat _let_1) B5))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 tptp.set_se5479201105039950375at_nat)) (let ((_let_1 (@ tptp.sup_su5525570899277871387at_nat A4))) (= (@ _let_1 (@ tptp.comple6751905152567503566at_nat B5)) (@ tptp.comple6751905152567503566at_nat (@ (@ tptp.image_4303274092540115909at_nat _let_1) B5))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_set_nat)) (let ((_let_1 (@ tptp.sup_sup_set_nat A4))) (= (@ _let_1 (@ tptp.comple7806235888213564991et_nat B5)) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B5))))) (forall ((A4 tptp.set_rat) (A7 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_rat)) (= (exists ((F2 (-> tptp.rat tptp.nat))) (and (@ (@ tptp.inj_on_rat_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat F2) A4)) A7))) (exists ((G3 (-> tptp.nat tptp.rat))) (= (@ (@ tptp.image_nat_rat G3) A7) A4))))) (forall ((A4 tptp.set_int) (A7 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (exists ((F2 (-> tptp.int tptp.nat))) (and (@ (@ tptp.inj_on_int_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F2) A4)) A7))) (exists ((G3 (-> tptp.nat tptp.int))) (= (@ (@ tptp.image_nat_int G3) A7) A4))))) (forall ((A4 tptp.set_int) (A7 tptp.set_int)) (=> (not (= A4 tptp.bot_bot_set_int)) (= (exists ((F2 (-> tptp.int tptp.int))) (and (@ (@ tptp.inj_on_int_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F2) A4)) A7))) (exists ((G3 (-> tptp.int tptp.int))) (= (@ (@ tptp.image_int_int G3) A7) A4))))) (forall ((A4 tptp.set_nat) (A7 tptp.set_rat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (exists ((F2 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F2) A4) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F2) A4)) A7))) (exists ((G3 (-> tptp.rat tptp.nat))) (= (@ (@ tptp.image_rat_nat G3) A7) A4))))) (forall ((A4 tptp.set_nat) (A7 tptp.set_nat)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (exists ((F2 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F2) A4)) A7))) (exists ((G3 (-> tptp.nat tptp.nat))) (= (@ (@ tptp.image_nat_nat G3) A7) A4))))) (forall ((A4 tptp.set_nat) (A7 tptp.set_int)) (=> (not (= A4 tptp.bot_bot_set_nat)) (= (exists ((F2 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F2) A4)) A7))) (exists ((G3 (-> tptp.int tptp.nat))) (= (@ (@ tptp.image_int_nat G3) A7) A4))))) (forall ((B8 tptp.set_se7855581050983116737at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.inf_in2572325071724192079at_nat A4))) (let ((_let_2 (@ _let_1 (@ tptp.comple1930127330929219688at_nat B8)))) (let ((_let_3 (= B8 tptp.bot_bo3083307316010499117at_nat))) (and (=> _let_3 (= _let_2 A4)) (=> (not _let_3) (= _let_2 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3684629450409544005at_nat _let_1) B8))))))))) (forall ((B8 tptp.set_set_nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.inf_inf_set_nat A4))) (let ((_let_2 (@ _let_1 (@ tptp.comple7806235888213564991et_nat B8)))) (let ((_let_3 (= B8 tptp.bot_bot_set_set_nat))) (and (=> _let_3 (= _let_2 A4)) (=> (not _let_3) (= _let_2 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) B8))))))))) (forall ((B8 tptp.set_se7855581050983116737at_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat B8)) A4))) (let ((_let_2 (= B8 tptp.bot_bo3083307316010499117at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3684629450409544005at_nat (lambda ((B6 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat B6) A4))) B8)))))))) (forall ((B8 tptp.set_set_nat) (A4 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat B8)) A4))) (let ((_let_2 (= B8 tptp.bot_bot_set_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat (lambda ((B6 tptp.set_nat)) (@ (@ tptp.inf_inf_set_nat B6) A4))) B8)))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.ord_less_eq_set_rat (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_nat A4) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_nat A4) B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_nat A4) B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ (@ tptp.ord_less_eq_set_nat (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_int A4) B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ (@ tptp.ord_less_eq_set_int (@ _let_1 A4)) (@ _let_1 B5)) (@ (@ tptp.ord_less_eq_set_int A4) B5))))) (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_nat A4) B5))) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_rat (@ _let_1 A4)) (@ _let_1 B5))))))))) (forall ((F (-> tptp.nat tptp.nat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_nat A4) B5))) (=> (@ (@ tptp.inj_on_nat_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))))) (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_nat A4) B5))) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_nat _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_nat B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))))))))) (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_int A4) B5))) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (@ (@ tptp.ord_less_eq_set_int _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5))))))))) (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ (@ tptp.minus_minus_set_int A4) B5))) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (@ (@ tptp.ord_less_eq_set_int _let_2) C3) (=> (@ (@ tptp.ord_less_eq_set_int B5) C3) (= (@ _let_1 _let_2) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5))))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5)) (@ (@ tptp.minus_minus_set_rat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5)) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_int F))) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.minus_minus_set_nat A4) B5)) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_nat F))) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5)) (@ (@ tptp.minus_minus_set_nat (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) B5)) (@ (@ tptp.minus_minus_set_int (@ _let_1 A4)) (@ _let_1 B5)))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) U)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_less_eq_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) U)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_less_eq_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) U)))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 Bool) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_int (@ F X2)) U) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) U)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_less_eq_int (@ F X2)) U) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) U)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_less_eq_int (@ F X2)) U) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) U)))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 Bool) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) U)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) U)))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) U) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) U)))))) (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ F X2)) U) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) U)))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ F X2)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ F X2)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ F X2)))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ F X2)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ F X2)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ F X2)))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ F X2)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_nat X2) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ F X2)))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.member_int X2) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ F X2)))))) (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (@ tptp.condit68592940725977398et_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7806235888213564991et_nat _let_1)) (@ F X2)))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_nat U))) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_nat U))) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_nat U))) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 Bool) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_int U))) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_int U))) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_int U))) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o) (X2 Bool) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (let ((_let_2 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat) (X2 tptp.nat) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (let ((_let_2 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int) (X2 tptp.int) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (let ((_let_2 (@ tptp.ord_le3221252021190050221t_unit U))) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.member_int X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> Bool tptp.set_nat)) (A4 tptp.set_o) (X2 Bool) (U tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (let ((_let_2 (@ tptp.ord_less_eq_set_nat U))) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (=> (@ (@ tptp.member_o X2) A4) (=> (@ _let_2 (@ F X2)) (@ _let_2 (@ tptp.comple7399068483239264473et_nat _let_1)))))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (@ (@ tptp.ord_less_eq_nat (@ F X2)) (@ tptp.complete_Sup_Sup_nat _let_1)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (@ (@ tptp.ord_less_eq_nat (@ F X2)) (@ tptp.complete_Sup_Sup_nat _let_1)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (@ (@ tptp.member_int X2) A4) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (@ (@ tptp.ord_less_eq_nat (@ F X2)) (@ tptp.complete_Sup_Sup_nat _let_1)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (@ (@ tptp.ord_less_eq_int (@ F X2)) (@ tptp.complete_Sup_Sup_int _let_1)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (@ (@ tptp.ord_less_eq_int (@ F X2)) (@ tptp.complete_Sup_Sup_int _let_1)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ (@ tptp.member_int X2) A4) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (@ (@ tptp.ord_less_eq_int (@ F X2)) (@ tptp.complete_Sup_Sup_int _let_1)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) (@ tptp.comple4687483117567863418t_unit _let_1)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (=> (@ (@ tptp.member_nat X2) A4) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) (@ tptp.comple4687483117567863418t_unit _let_1)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (=> (@ (@ tptp.member_int X2) A4) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X2)) (@ tptp.comple4687483117567863418t_unit _let_1)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.image_o_set_nat F) A4))) (=> (@ (@ tptp.member_o X2) A4) (=> (@ tptp.condit5477540289124974626et_nat _let_1) (@ (@ tptp.ord_less_eq_set_nat (@ F X2)) (@ tptp.comple7399068483239264473et_nat _let_1)))))) (forall ((A4 tptp.set_nat) (F (-> tptp.product_unit tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) tptp.bot_bo3957492148770167129t_unit))) A4)) (forall ((A4 tptp.set_nat) (F (-> Bool tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat F) tptp.bot_bot_set_o))) A4)) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat F) tptp.bot_bot_set_nat))) A4)) (forall ((A4 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.set_nat))) (= (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat F) tptp.bot_bo2099793752762293965at_nat))) A4)) (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat F) tptp.bot_bo3957492148770167129t_unit))) A4)) (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> Bool tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat F) tptp.bot_bot_set_o))) A4)) (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat F) tptp.bot_bot_set_nat))) A4)) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat))) (= (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat F) tptp.bot_bo3957492148770167129t_unit))) A4)) (forall ((A4 tptp.set_Pr8693737435421807431at_nat) (F (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat))) (= (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat F) tptp.bot_bo2099793752762293965at_nat))) A4)) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (F (-> Bool tptp.set_Pr4329608150637261639at_nat))) (= (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat F) tptp.bot_bot_set_o))) A4)) (forall ((F (-> tptp.nat tptp.set_nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_nat A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((F (-> Bool tptp.set_nat)) (A Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_o A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) B5))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_4592875511192039216at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_nat A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_7288820656315755647at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((F (-> Bool tptp.set_Pr8693737435421807431at_nat)) (A Bool) (B5 tptp.set_o)) (let ((_let_1 (@ tptp.image_8493167801588156084at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_o A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_prod_nat_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5803077947706746251at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) B5))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.set_Pr4329608150637261639at_nat)) (A tptp.nat) (B5 tptp.set_nat)) (let ((_let_1 (@ tptp.image_1087905878993176368at_nat F))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_nat A) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ F A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (A tptp.product_unit) (B5 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_5172358348707908735at_nat F))) (= (@ tptp.comple4364388969068068532at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) B5))) (@ (@ tptp.sup_su5525570899277871387at_nat (@ F A)) (@ tptp.comple4364388969068068532at_nat (@ _let_1 B5)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))) (forall ((F (-> Bool tptp.product_unit)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))) (forall ((F (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((F (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_6169909464789311569t_unit F))) (= (@ tptp.comple4687483117567863418t_unit (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_sup_Product_unit (@ F A)) (@ tptp.comple4687483117567863418t_unit (@ _let_1 A4)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.set_nat)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_15824709712370754et_nat F))) (= (@ tptp.comple7399068483239264473et_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.sup_sup_set_nat (@ F A)) (@ tptp.comple7399068483239264473et_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_4592875511192039216at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_7288820656315755647at_nat F))) (= (@ tptp.comple2748534634209756852at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.sup_su718114333110466843at_nat (@ F A)) (@ tptp.comple2748534634209756852at_nat (@ _let_1 A4)))))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3))) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3))) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3))) X2)))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3))) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_set_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3))) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_nat)) (X2 tptp.set_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_set_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3))) X2)))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_unit)) (X2 tptp.product_unit)) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_Product_unit (@ F I2)) X2))) I3)) (@ (@ tptp.inf_inf_Product_unit (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3))) X2)))) (forall ((I3 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat F) I3))) X2)))) (forall ((I3 tptp.set_o) (F (-> Bool tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat F) I3))) X2)))) (forall ((I3 tptp.set_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (X2 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F I2)) X2))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat F) I3))) X2)))) (forall ((I3 tptp.set_Product_unit) (X2 tptp.product_unit) (F (-> tptp.product_unit tptp.product_unit))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) I3)))))) (forall ((I3 tptp.set_o) (X2 tptp.product_unit) (F (-> Bool tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) I3)))))) (forall ((I3 tptp.set_nat) (X2 tptp.product_unit) (F (-> tptp.nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) I3)))))) (forall ((I3 tptp.set_Product_unit) (X2 tptp.set_nat) (F (-> tptp.product_unit tptp.set_nat))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_set_nat X2) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) I3)))))) (forall ((I3 tptp.set_o) (X2 tptp.set_nat) (F (-> Bool tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_inf_set_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_set_nat X2) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat F) I3)))))) (forall ((I3 tptp.set_nat) (X2 tptp.set_nat) (F (-> tptp.nat tptp.set_nat))) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_inf_set_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_set_nat X2) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat F) I3)))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_unit) (F (-> tptp.product_prod_nat_nat tptp.product_unit))) (=> (not (= I3 tptp.bot_bo2099793752762293965at_nat)) (= (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit (lambda ((I2 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_Product_unit X2) (@ F I2)))) I3)) (@ (@ tptp.inf_inf_Product_unit X2) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6169909464789311569t_unit F) I3)))))) (forall ((I3 tptp.set_Product_unit) (X2 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((I2 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat F) I3)))))) (forall ((I3 tptp.set_o) (X2 tptp.set_Pr1261947904930325089at_nat) (F (-> Bool tptp.set_Pr1261947904930325089at_nat))) (=> (not (= I3 tptp.bot_bot_set_o)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((I2 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat F) I3)))))) (forall ((I3 tptp.set_nat) (X2 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (=> (not (= I3 tptp.bot_bot_set_nat)) (= (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ F I2)))) I3)) (@ (@ tptp.inf_in2572325071724192079at_nat X2) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat F) I3)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_8730104196221521654t_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))) (forall ((F (-> Bool tptp.product_unit)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))) (forall ((F (-> tptp.nat tptp.set_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_set_nat F))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.product_unit tptp.set_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_8173849991827986510et_nat F))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((F (-> Bool tptp.set_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_o_set_nat F))) (= (@ tptp.comple7806235888213564991et_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_inf_set_nat (@ F A)) (@ tptp.comple7806235888213564991et_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_6169909464789311569t_unit F))) (= (@ tptp.comple2584293577114468500t_unit (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat A) A4))) (@ (@ tptp.inf_inf_Product_unit (@ F A)) (@ tptp.comple2584293577114468500t_unit (@ _let_1 A4)))))) (forall ((F (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_7178329752028323786at_nat F))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_nat A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((F (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.image_3617315916088684441at_nat F))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_Product_unit A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((F (-> Bool tptp.set_Pr1261947904930325089at_nat)) (A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.image_7077428525161401678at_nat F))) (= (@ tptp.comple1930127330929219688at_nat (@ _let_1 (@ (@ tptp.insert_o A) A4))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ F A)) (@ tptp.comple1930127330929219688at_nat (@ _let_1 A4)))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_sup_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat)) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat)) (B5 tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_su718114333110466843at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Pr4329608150637261639at_nat)) (B5 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat A4) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_sup_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> tptp.product_unit tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_7288820656315755647at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> Bool tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_8493167801588156084at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> tptp.nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_4592875511192039216at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.product_unit tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_5172358348707908735at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr8693737435421807431at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr8693737435421807431at_nat))) (let ((_let_1 (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple2748534634209756852at_nat (@ (@ tptp.image_5803077947706746251at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.sup_su718114333110466843at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> Bool tptp.set_Pr4329608150637261639at_nat))) (let ((_let_1 (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple4364388969068068532at_nat (@ (@ tptp.image_2496312346330513076at_nat (lambda ((X4 Bool)) (@ (@ tptp.sup_su5525570899277871387at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat)) (B5 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 (-> tptp.product_unit tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 (-> tptp.produc3843707927480180839at_nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_o) (A4 (-> Bool tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat)) (B5 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat A4) C3))) B5))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 B5)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_nat (@ A4 X4)) B5))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_unit tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_3617315916088684441at_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7979982168039674559at_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_5423882813909314213at_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7077428525161401678at_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (let ((_let_1 (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple1930127330929219688at_nat (@ (@ tptp.image_7178329752028323786at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Product_unit) (A4 tptp.set_nat) (B5 (-> tptp.product_unit tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo3957492148770167129t_unit))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((X4 tptp.product_unit)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr4329608150637261639at_nat) (A4 tptp.set_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo228742789529271731at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((X4 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_Pr1261947904930325089at_nat) (A4 tptp.set_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bo2099793752762293965at_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((X4 tptp.product_prod_nat_nat)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_o) (A4 tptp.set_nat) (B5 (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_o))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (let ((_let_1 (@ (@ tptp.inf_inf_set_nat A4) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) C3))))) (let ((_let_2 (= C3 tptp.bot_bot_set_nat))) (and (=> _let_2 (= _let_1 A4)) (=> (not _let_2) (= _let_1 (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.inf_inf_set_nat A4) (@ B5 X4)))) C3)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat U) (@ tptp.complete_Inf_Inf_nat _let_1)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_nat U) (@ F X4))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (= (@ (@ tptp.ord_less_eq_int U) (@ tptp.complete_Inf_Inf_int _let_1)) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_int U) (@ F X4))))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit _let_1)) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F X4))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ tptp.comple2584293577114468500t_unit _let_1)) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit U) (@ F X4))))))))) (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) B5)))))))) (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat G) B5)))))))) (forall ((B5 tptp.set_Product_unit) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat G) B5)))))))) (forall ((B5 tptp.set_Product_unit) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat G) B5)))))))) (forall ((B5 tptp.set_o) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 Bool)) (=> (@ (@ tptp.member_o M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat G) B5)))))))) (forall ((B5 tptp.set_o) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 Bool)) (=> (@ (@ tptp.member_o M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat G) B5)))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.nat)) (=> (@ (@ tptp.member_nat M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) B5)))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (G (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= B5 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (forall ((M4 tptp.nat)) (=> (@ (@ tptp.member_nat M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_nat (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat G) B5)))))))) (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) A4) (@ (@ tptp.ord_less_eq_int (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int G) B5)))))))) (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int) (G (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (not (= B5 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (forall ((M4 tptp.int)) (=> (@ (@ tptp.member_int M4) B5) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) A4) (@ (@ tptp.ord_less_eq_int (@ F X6)) (@ G M4)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int G) B5)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_int_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (U tptp.nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (= (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat _let_1)) U) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_nat (@ F X4)) U)))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_o_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int)) (U tptp.int)) (let ((_let_1 (@ (@ tptp.image_nat_int F) A4))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (= (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int _let_1)) U) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ (@ tptp.ord_less_eq_int (@ F X4)) U)))))))) (forall ((A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit F) A4))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit _let_1)) U) (forall ((X4 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X4)) U)))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (U tptp.product_unit)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit F) A4))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (= (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit _let_1)) U) (forall ((X4 Bool)) (=> (@ (@ tptp.member_o X4) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X4)) U)))))))) (forall ((A4 tptp.set_int) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_o) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 Bool)) (=> (@ (@ tptp.member_o N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_o) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 Bool)) (=> (@ (@ tptp.member_o N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.nat)) (=> (@ (@ tptp.member_nat N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_nat) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (forall ((N2 tptp.nat)) (=> (@ (@ tptp.member_nat N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_nat (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1))))))) (forall ((A4 tptp.set_int) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.nat)) (and (@ (@ tptp.member_nat X6) B5) (@ (@ tptp.ord_less_eq_int (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (forall ((N2 tptp.int)) (=> (@ (@ tptp.member_int N2) A4) (exists ((X6 tptp.int)) (and (@ (@ tptp.member_int X6) B5) (@ (@ tptp.ord_less_eq_int (@ F N2)) (@ G X6)))))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1))))))) _let_95 (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (J4 Bool)) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_int_int F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_int_int F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.int tptp.int)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (J4 tptp.int)) (=> (@ (@ tptp.inj_on_int_int F) C3) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_int J4) A4) (= (@ (@ tptp.image_int_int F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_o) (B5 (-> Bool tptp.set_int)) (J4 Bool)) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_int_nat F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int B5) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat (lambda ((X4 Bool)) (@ (@ tptp.image_int_nat F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_int)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_int_nat F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int B5) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.image_int_nat F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.int tptp.nat)) (C3 tptp.set_int) (A4 tptp.set_int) (B5 (-> tptp.int tptp.set_int)) (J4 tptp.int)) (=> (@ (@ tptp.inj_on_int_nat F) C3) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_set_int (@ B5 X)) C3))) (=> (@ (@ tptp.member_int J4) A4) (= (@ (@ tptp.image_int_nat F) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_int_set_int B5) A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_int_set_nat (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_nat F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat)) (J4 Bool)) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_nat_rat F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_o_set_rat (lambda ((X4 Bool)) (@ (@ tptp.image_nat_rat F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_o) (B5 (-> Bool tptp.set_nat)) (J4 Bool)) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_o J4) A4) (= (@ (@ tptp.image_nat_int F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_o_set_nat B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_o_set_int (lambda ((X4 Bool)) (@ (@ tptp.image_nat_int F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_rat F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_nat_rat F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (@ tptp.comple4298007329820168263et_rat (@ (@ tptp.image_nat_set_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.image_nat_rat F) (@ B5 X4)))) A4))))))) (forall ((F (-> tptp.nat tptp.int)) (C3 tptp.set_nat) (A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat)) (J4 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_int F) C3) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_set_nat (@ B5 X)) C3))) (=> (@ (@ tptp.member_nat J4) A4) (= (@ (@ tptp.image_nat_int F) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (@ tptp.comple3628384868704368283et_int (@ (@ tptp.image_nat_set_int (lambda ((X4 tptp.nat)) (@ (@ tptp.image_nat_int F) (@ B5 X4)))) A4))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat F) A4))))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.nat)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))))))))) (forall ((A4 tptp.set_o) (G (-> Bool tptp.nat)) (B5 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat F) A4))))))))) (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_less_eq_nat (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Inf_Inf_nat _let_1)) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat F) A4))))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) A4))))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_873079544045703924it_int F) A4))))))))) (forall ((A4 tptp.set_o) (G (-> Bool tptp.int)) (B5 tptp.set_o) (F (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) A4))))))))) (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) B5) (@ (@ tptp.ord_less_eq_int (@ G X)) (@ F X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Inf_Inf_int _let_1)) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int F) A4))))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X)) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit9161856309968323677t_unit _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) B5) (@ (@ tptp.ord_le3221252021190050221t_unit (@ G X)) (@ F X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple2584293577114468500t_unit _let_1)) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.nat)) (B5 tptp.set_int) (F (-> tptp.int tptp.nat))) (let ((_let_1 (@ (@ tptp.image_int_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.nat)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat))) (let ((_let_1 (@ (@ tptp.image_875570014554754200it_nat G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((A4 tptp.set_o) (G (-> Bool tptp.nat)) (B5 tptp.set_o) (F (-> Bool tptp.nat))) (let ((_let_1 (@ (@ tptp.image_o_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_nat (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.int)) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.int)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.int))) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((A4 tptp.set_o) (G (-> Bool tptp.int)) (B5 tptp.set_o) (F (-> Bool tptp.int))) (let ((_let_1 (@ (@ tptp.image_o_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_o)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (=> (forall ((X Bool)) (=> (@ (@ tptp.member_o X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((A4 tptp.set_nat) (G (-> tptp.nat tptp.int)) (B5 tptp.set_nat) (F (-> tptp.nat tptp.int))) (let ((_let_1 (@ (@ tptp.image_nat_int G) B5))) (=> (not (= A4 tptp.bot_bot_set_nat)) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (=> (forall ((X tptp.nat)) (=> (@ (@ tptp.member_nat X) A4) (@ (@ tptp.ord_less_eq_int (@ F X)) (@ G X)))) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int F) A4))) (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((A4 tptp.set_int) (G (-> tptp.int tptp.product_unit)) (B5 tptp.set_int) (F (-> tptp.int tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit G) B5))) (=> (not (= A4 tptp.bot_bot_set_int)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (=> (forall ((X tptp.int)) (=> (@ (@ tptp.member_int X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((A4 tptp.set_Product_unit) (G (-> tptp.product_unit tptp.product_unit)) (B5 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit))) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit G) B5))) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A4) B5) (=> (forall ((X tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit X) A4) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F X)) (@ G X)))) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))) (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((A4 (-> tptp.int tptp.set_Product_unit)) (I tptp.int) (B5 tptp.set_Product_unit) (J3 tptp.set_int)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit (@ (@ (@ tptp.fun_up5054257004045450754t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_8658272795163236474t_unit A4) (@ (@ tptp.minus_minus_set_int J3) (@ (@ tptp.insert_int I) tptp.bot_bot_set_int))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_int I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 (-> tptp.int tptp.set_o)) (I tptp.int) (B5 tptp.set_o) (J3 tptp.set_int)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o (@ (@ (@ tptp.fun_upd_int_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_int_set_o A4) (@ (@ tptp.minus_minus_set_int J3) (@ (@ tptp.insert_int I) tptp.bot_bot_set_int))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_int I) J3)) B5) tptp.bot_bot_set_o)))) (forall ((A4 (-> tptp.product_unit tptp.set_Product_unit)) (I tptp.product_unit) (B5 tptp.set_Product_unit) (J3 tptp.set_Product_unit)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit (@ (@ (@ tptp.fun_up488859312337516701t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_7778121751606633509t_unit A4) (@ (@ tptp.minus_6452836326544984404t_unit J3) (@ (@ tptp.insert_Product_unit I) tptp.bot_bo3957492148770167129t_unit))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_Product_unit I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 (-> tptp.product_unit tptp.set_o)) (I tptp.product_unit) (B5 tptp.set_o) (J3 tptp.set_Product_unit)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o (@ (@ (@ tptp.fun_up1762901246852280360_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_6930536745178679216_set_o A4) (@ (@ tptp.minus_6452836326544984404t_unit J3) (@ (@ tptp.insert_Product_unit I) tptp.bot_bo3957492148770167129t_unit))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_Product_unit I) J3)) B5) tptp.bot_bot_set_o)))) (forall ((A4 (-> Bool tptp.set_Product_unit)) (I Bool) (B5 tptp.set_Product_unit) (J3 tptp.set_o)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit (@ (@ (@ tptp.fun_up4718931970374059986t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_663195431845683034t_unit A4) (@ (@ tptp.minus_minus_set_o J3) (@ (@ tptp.insert_o I) tptp.bot_bot_set_o))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_o I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 (-> Bool tptp.set_o)) (I Bool) (B5 tptp.set_o) (J3 tptp.set_o)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o (@ (@ (@ tptp.fun_upd_o_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_o_set_o A4) (@ (@ tptp.minus_minus_set_o J3) (@ (@ tptp.insert_o I) tptp.bot_bot_set_o))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_o I) J3)) B5) tptp.bot_bot_set_o)))) (forall ((A4 (-> tptp.nat tptp.set_Product_unit)) (I tptp.nat) (B5 tptp.set_Product_unit) (J3 tptp.set_nat)) (= (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit (@ (@ (@ tptp.fun_up1220017903161424222t_unit A4) I) B5)) J3)) (@ (@ tptp.sup_su793286257634532545t_unit (@ tptp.comple3349607820504768346t_unit (@ (@ tptp.image_4824033694279209942t_unit A4) (@ (@ tptp.minus_minus_set_nat J3) (@ (@ tptp.insert_nat I) tptp.bot_bot_set_nat))))) (@ (@ (@ tptp.if_set_Product_unit (@ (@ tptp.member_nat I) J3)) B5) tptp.bot_bo3957492148770167129t_unit)))) (forall ((A4 (-> tptp.nat tptp.set_o)) (I tptp.nat) (B5 tptp.set_o) (J3 tptp.set_nat)) (= (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o (@ (@ (@ tptp.fun_upd_nat_set_o A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_o (@ tptp.comple90263536869209701_set_o (@ (@ tptp.image_nat_set_o A4) (@ (@ tptp.minus_minus_set_nat J3) (@ (@ tptp.insert_nat I) tptp.bot_bot_set_nat))))) (@ (@ (@ tptp.if_set_o (@ (@ tptp.member_nat I) J3)) B5) tptp.bot_bot_set_o)))) (forall ((A4 (-> tptp.int tptp.set_nat)) (I tptp.int) (B5 tptp.set_nat) (J3 tptp.set_int)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat (@ (@ (@ tptp.fun_upd_int_set_nat A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat A4) (@ (@ tptp.minus_minus_set_int J3) (@ (@ tptp.insert_int I) tptp.bot_bot_set_int))))) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.member_int I) J3)) B5) tptp.bot_bot_set_nat)))) (forall ((A4 (-> tptp.product_unit tptp.set_nat)) (I tptp.product_unit) (B5 tptp.set_nat) (J3 tptp.set_Product_unit)) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (@ (@ (@ tptp.fun_up4569834200710200790et_nat A4) I) B5)) J3)) (@ (@ tptp.sup_sup_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat A4) (@ (@ tptp.minus_6452836326544984404t_unit J3) (@ (@ tptp.insert_Product_unit I) tptp.bot_bo3957492148770167129t_unit))))) (@ (@ (@ tptp.if_set_nat (@ (@ tptp.member_Product_unit I) J3)) B5) tptp.bot_bot_set_nat)))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_2021340605491722874at_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_rat_rat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc8728714639637146746at_rat (@ (@ tptp.image_nat_rat F) A4)) (lambda ((X4 tptp.rat)) (@ (@ tptp.image_nat_rat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X4) tptp.bot_bot_set_rat))) A4)))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_5529569163885119602at_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_rat_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc140472662868866674at_nat (@ (@ tptp.image_nat_rat F) A4)) (lambda ((X4 tptp.rat)) (@ (@ tptp.image_nat_nat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X4) tptp.bot_bot_set_rat))) A4)))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_1351718144375922894at_int (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_rat_int (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc137982192359816398at_int (@ (@ tptp.image_nat_rat F) A4)) (lambda ((X4 tptp.rat)) (@ (@ tptp.image_nat_int G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X4) tptp.bot_bot_set_rat))) A4)))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_3337248961327643342nt_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_int_rat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc821250958618291406nt_rat (@ (@ tptp.image_nat_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_nat_rat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_6845477519721040070nt_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_nat_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_nat_nat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (= (@ (@ tptp.image_659947567330398058nt_nat (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1456381018704787142nt_nat (@ (@ tptp.image_int_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_nat G) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))) (forall ((F (-> tptp.nat tptp.int)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_2667626500211843362nt_int (lambda ((X4 tptp.nat)) (@ (@ tptp.product_Pair_int_int (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1453890548195736866nt_int (@ (@ tptp.image_nat_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_nat_int G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int)) (= (@ (@ tptp.image_5705468584675977158nt_int (lambda ((X4 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc1453890548195736866nt_int (@ (@ tptp.image_int_int F) A4)) (lambda ((X4 tptp.int)) (@ (@ tptp.image_int_int G) (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int X4) tptp.bot_bot_set_int))) A4)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_469905907365485675it_rat (lambda ((X4 tptp.nat)) (@ (@ tptp.produc4168158269727034510it_rat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc6240246942209516957it_rat (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_nat_rat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X4) tptp.bot_bo3957492148770167129t_unit))) A4)))))) (forall ((F (-> tptp.nat tptp.product_unit)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (= (@ (@ tptp.image_3978134465758882403it_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.produc4803288329813530246it_nat (@ F X4)) (@ G X4)))) A4) (@ (@ tptp.produc6875377002296012693it_nat (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (lambda ((X4 tptp.product_unit)) (@ (@ tptp.image_nat_nat G) (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X4) tptp.bot_bo3957492148770167129t_unit))) A4)))))) (forall ((I tptp.num) (C3 tptp.set_num) (G (-> tptp.num Bool)) (X2 tptp.num)) (=> (@ (@ tptp.member_num I) C3) (=> (@ (@ tptp.inj_on_num_o G) C3) (= (@ (@ (@ tptp.comp_o_num_num (lambda ((I2 Bool)) (@ (@ (@ tptp.if_num (@ (@ tptp.member_o I2) (@ (@ tptp.image_num_o G) C3))) (@ (@ (@ tptp.the_inv_into_num_o C3) G) I2)) X2))) G) I) (@ tptp.id_num I))))) (forall ((I tptp.num) (C3 tptp.set_num) (G (-> tptp.num tptp.nat)) (X2 tptp.num)) (=> (@ (@ tptp.member_num I) C3) (=> (@ (@ tptp.inj_on_num_nat G) C3) (= (@ (@ (@ tptp.comp_nat_num_num (lambda ((I2 tptp.nat)) (@ (@ (@ tptp.if_num (@ (@ tptp.member_nat I2) (@ (@ tptp.image_num_nat G) C3))) (@ (@ (@ tptp.the_inv_into_num_nat C3) G) I2)) X2))) G) I) (@ tptp.id_num I))))) (forall ((I tptp.num) (C3 tptp.set_num) (G (-> tptp.num tptp.int)) (X2 tptp.num)) (=> (@ (@ tptp.member_num I) C3) (=> (@ (@ tptp.inj_on_num_int G) C3) (= (@ (@ (@ tptp.comp_int_num_num (lambda ((I2 tptp.int)) (@ (@ (@ tptp.if_num (@ (@ tptp.member_int I2) (@ (@ tptp.image_num_int G) C3))) (@ (@ (@ tptp.the_inv_into_num_int C3) G) I2)) X2))) G) I) (@ tptp.id_num I))))) (forall ((I Bool) (C3 tptp.set_o) (G (-> Bool Bool)) (X2 Bool)) (=> (@ (@ tptp.member_o I) C3) (=> (@ (@ tptp.inj_on_o_o G) C3) (= (@ (@ (@ tptp.comp_o_o_o (lambda ((I2 Bool)) (let ((_let_1 (@ (@ tptp.member_o I2) (@ (@ tptp.image_o_o G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_o C3) G) I2)) (=> (not _let_1) X2))))) G) I) (@ tptp.id_o I))))) (forall ((I Bool) (C3 tptp.set_o) (G (-> Bool tptp.nat)) (X2 Bool)) (=> (@ (@ tptp.member_o I) C3) (=> (@ (@ tptp.inj_on_o_nat G) C3) (= (@ (@ (@ tptp.comp_nat_o_o (lambda ((I2 tptp.nat)) (let ((_let_1 (@ (@ tptp.member_nat I2) (@ (@ tptp.image_o_nat G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_nat C3) G) I2)) (=> (not _let_1) X2))))) G) I) (@ tptp.id_o I))))) (forall ((I Bool) (C3 tptp.set_o) (G (-> Bool tptp.int)) (X2 Bool)) (=> (@ (@ tptp.member_o I) C3) (=> (@ (@ tptp.inj_on_o_int G) C3) (= (@ (@ (@ tptp.comp_int_o_o (lambda ((I2 tptp.int)) (let ((_let_1 (@ (@ tptp.member_int I2) (@ (@ tptp.image_o_int G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_int C3) G) I2)) (=> (not _let_1) X2))))) G) I) (@ tptp.id_o I))))) (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat tptp.rat)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_rat G) C3) (= (@ (@ (@ tptp.comp_rat_nat_nat (lambda ((I2 tptp.rat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_rat I2) (@ (@ tptp.image_nat_rat G) C3))) (@ (@ (@ tptp.the_inv_into_nat_rat C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))) (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat Bool)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_o G) C3) (= (@ (@ (@ tptp.comp_o_nat_nat (lambda ((I2 Bool)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o I2) (@ (@ tptp.image_nat_o G) C3))) (@ (@ (@ tptp.the_inv_into_nat_o C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))) (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_nat G) C3) (= (@ (@ (@ tptp.comp_nat_nat_nat (lambda ((I2 tptp.nat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_nat I2) (@ (@ tptp.image_nat_nat G) C3))) (@ (@ (@ tptp.the_inv_into_nat_nat C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))) (forall ((I tptp.nat) (C3 tptp.set_nat) (G (-> tptp.nat tptp.int)) (X2 tptp.nat)) (=> (@ (@ tptp.member_nat I) C3) (=> (@ (@ tptp.inj_on_nat_int G) C3) (= (@ (@ (@ tptp.comp_int_nat_nat (lambda ((I2 tptp.int)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_int I2) (@ (@ tptp.image_nat_int G) C3))) (@ (@ (@ tptp.the_inv_into_nat_int C3) G) I2)) X2))) G) I) (@ tptp.id_nat I))))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr7459493094073627847at_nat)) (= (@ tptp.field_1428494348145443988at_nat (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R)) (@ (@ tptp.sup_su474284620922681339at_nat (@ (@ tptp.insert2290795007606087959at_nat A) (@ (@ tptp.insert2290795007606087959at_nat B) tptp.bot_bo1534825418459847827at_nat))) (@ tptp.field_1428494348145443988at_nat R)))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.field_3145993188331922222at_nat (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R)) (@ (@ tptp.sup_su3642409539654194069at_nat (@ (@ tptp.insert9200635055090092081at_nat A) (@ (@ tptp.insert9200635055090092081at_nat B) tptp.bot_bo3083307316010499117at_nat))) (@ tptp.field_3145993188331922222at_nat R)))) (forall ((A tptp.int) (B tptp.int) (R tptp.set_Pr958786334691620121nt_int)) (= (@ tptp.field_int (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int A) B)) R)) (@ (@ tptp.sup_sup_set_int (@ (@ tptp.insert_int A) (@ (@ tptp.insert_int B) tptp.bot_bot_set_int))) (@ tptp.field_int R)))) (forall ((A tptp.produc859450856879609959at_nat) (B tptp.produc859450856879609959at_nat) (R tptp.set_Pr553994874890374343at_nat)) (= (@ tptp.field_3044959742847878580at_nat (@ (@ tptp.insert5475735164933346999at_nat (@ (@ tptp.produc4662710985925991255at_nat A) B)) R)) (@ (@ tptp.sup_su718114333110466843at_nat (@ (@ tptp.insert5050368324300391991at_nat A) (@ (@ tptp.insert5050368324300391991at_nat B) tptp.bot_bo5327735625951526323at_nat))) (@ tptp.field_3044959742847878580at_nat R)))) (forall ((A tptp.product_unit) (B tptp.product_unit) (R tptp.set_Pr5094982260447487303t_unit)) (= (@ tptp.field_Product_unit (@ (@ tptp.insert4616891024742550839t_unit (@ (@ tptp.produc5692694829384537815t_unit A) B)) R)) (@ (@ tptp.sup_su793286257634532545t_unit (@ (@ tptp.insert_Product_unit A) (@ (@ tptp.insert_Product_unit B) tptp.bot_bo3957492148770167129t_unit))) (@ tptp.field_Product_unit R)))) (forall ((A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat) (R tptp.set_Pr5564308138774400199at_nat)) (= (@ tptp.field_2862844103579723188at_nat (@ (@ tptp.insert398606708087465655at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R)) (@ (@ tptp.sup_su5525570899277871387at_nat (@ (@ tptp.insert9069300056098147895at_nat A) (@ (@ tptp.insert9069300056098147895at_nat B) tptp.bot_bo228742789529271731at_nat))) (@ tptp.field_2862844103579723188at_nat R)))) (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat) (R tptp.set_Pr8693737435421807431at_nat)) (= (@ tptp.field_4706345496283612622at_nat (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R)) (@ (@ tptp.sup_su6327502436637775413at_nat (@ (@ tptp.insert8211810215607154385at_nat A) (@ (@ tptp.insert8211810215607154385at_nat B) tptp.bot_bo2099793752762293965at_nat))) (@ tptp.field_4706345496283612622at_nat R)))) (forall ((A Bool) (B Bool) (R tptp.set_Product_prod_o_o)) (= (@ tptp.field_o (@ (@ tptp.insert6201435330877294327od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R)) (@ (@ tptp.sup_sup_set_o (@ (@ tptp.insert_o A) (@ (@ tptp.insert_o B) tptp.bot_bot_set_o))) (@ tptp.field_o R)))) (forall ((A tptp.nat) (B tptp.nat) (R tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.field_nat (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R)) (@ (@ tptp.sup_sup_set_nat (@ (@ tptp.insert_nat A) (@ (@ tptp.insert_nat B) tptp.bot_bot_set_nat))) (@ tptp.field_nat R)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2045666486212196060at_rat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2680796546298691796at_nat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_2678306075789641520at_int F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_3680150258199746352nt_nat F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_3677659787690696076nt_int F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2045666486212196060at_rat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_2680796546298691796at_nat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_2678306075789641520at_int F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_3680150258199746352nt_nat F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_3677659787690696076nt_int F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (Z2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ (@ tptp.comp_nat_nat_nat (@ (@ tptp.the_inv_into_nat_nat tptp.top_top_set_nat) F)) F) Z2) (@ tptp.id_nat Z2)))) (forall ((G (-> tptp.product_unit Bool)) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (X2 tptp.product_unit)) (let ((_let_1 (@ (@ tptp.sup_su793286257634532545t_unit B5) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ (@ tptp.inj_on8854722734121536060unit_o G) C3) (=> (@ (@ tptp.ord_le3507040750410214029t_unit C3) _let_1) (@ (@ tptp.member2370919827131729009t_unit (lambda ((I2 Bool)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_o I2) (@ (@ tptp.image_Product_unit_o G) C3))) (@ (@ (@ tptp.the_in43325605794470270unit_o C3) G) I2)) X2))) (@ (@ tptp.bNF_We8730861560085513481t_unit tptp.top_top_set_o) _let_1)))))) (forall ((G (-> Bool Bool)) (C3 tptp.set_o) (B5 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.sup_sup_set_o B5) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))) (=> (@ (@ tptp.inj_on_o_o G) C3) (=> (@ (@ tptp.ord_less_eq_set_o C3) _let_1) (@ (@ tptp.member_o_o (lambda ((I2 Bool)) (let ((_let_1 (@ (@ tptp.member_o I2) (@ (@ tptp.image_o_o G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_o C3) G) I2)) (=> (not _let_1) X2))))) (@ (@ tptp.bNF_We7690717809131995284nc_o_o tptp.top_top_set_o) _let_1)))))) (forall ((G (-> tptp.nat Bool)) (C3 tptp.set_nat) (B5 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat B5) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)))) (=> (@ (@ tptp.inj_on_nat_o G) C3) (=> (@ (@ tptp.ord_less_eq_set_nat C3) _let_1) (@ (@ tptp.member_o_nat (lambda ((I2 Bool)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_o I2) (@ (@ tptp.image_nat_o G) C3))) (@ (@ (@ tptp.the_inv_into_nat_o C3) G) I2)) X2))) (@ (@ tptp.bNF_We6830391624356636116_o_nat tptp.top_top_set_o) _let_1)))))) (forall ((G (-> tptp.product_unit tptp.char)) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (X2 tptp.product_unit)) (let ((_let_1 (@ (@ tptp.sup_su793286257634532545t_unit B5) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ (@ tptp.inj_on1959294024837303853t_char G) C3) (=> (@ (@ tptp.ord_le3507040750410214029t_unit C3) _let_1) (@ (@ tptp.member379592906918970460t_unit (lambda ((I2 tptp.char)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_char I2) (@ (@ tptp.image_7248553556944771225t_char G) C3))) (@ (@ (@ tptp.the_in3194898024646563179t_char C3) G) I2)) X2))) (@ (@ tptp.bNF_We7396736742984212070t_unit tptp.top_top_set_char) _let_1)))))) (forall ((G (-> Bool tptp.char)) (C3 tptp.set_o) (B5 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.sup_sup_set_o B5) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))) (=> (@ (@ tptp.inj_on_o_char G) C3) (=> (@ (@ tptp.ord_less_eq_set_o C3) _let_1) (@ (@ tptp.member_char_o (lambda ((I2 tptp.char)) (let ((_let_1 (@ (@ tptp.member_char I2) (@ (@ tptp.image_o_char G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_char C3) G) I2)) (=> (not _let_1) X2))))) (@ (@ tptp.bNF_We6174688282833725809char_o tptp.top_top_set_char) _let_1)))))) (forall ((G (-> tptp.nat tptp.char)) (C3 tptp.set_nat) (B5 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat B5) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)))) (=> (@ (@ tptp.inj_on_nat_char G) C3) (=> (@ (@ tptp.ord_less_eq_set_nat C3) _let_1) (@ (@ tptp.member_char_nat (lambda ((I2 tptp.char)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_char I2) (@ (@ tptp.image_nat_char G) C3))) (@ (@ (@ tptp.the_in9023905271258939222t_char C3) G) I2)) X2))) (@ (@ tptp.bNF_We935846424581991991ar_nat tptp.top_top_set_char) _let_1)))))) (forall ((G (-> tptp.product_unit tptp.rat)) (C3 tptp.set_Product_unit) (B5 tptp.set_Product_unit) (X2 tptp.product_unit)) (let ((_let_1 (@ (@ tptp.sup_su793286257634532545t_unit B5) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))) (=> (@ (@ tptp.inj_on7795309031694339124it_rat G) C3) (=> (@ (@ tptp.ord_le3507040750410214029t_unit C3) _let_1) (@ (@ tptp.member7011034171605722901t_unit (lambda ((I2 tptp.rat)) (@ (@ (@ tptp.if_Product_unit (@ (@ tptp.member_rat I2) (@ (@ tptp.image_240439954468258464it_rat G) C3))) (@ (@ (@ tptp.the_in3915408195775746418it_rat C3) G) I2)) X2))) (@ (@ tptp.bNF_We8564238559827753503t_unit tptp.top_top_set_rat) _let_1)))))) (forall ((G (-> Bool tptp.rat)) (C3 tptp.set_o) (B5 tptp.set_o) (X2 Bool)) (let ((_let_1 (@ (@ tptp.sup_sup_set_o B5) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))) (=> (@ (@ tptp.inj_on_o_rat G) C3) (=> (@ (@ tptp.ord_less_eq_set_o C3) _let_1) (@ (@ tptp.member_rat_o (lambda ((I2 tptp.rat)) (let ((_let_1 (@ (@ tptp.member_rat I2) (@ (@ tptp.image_o_rat G) C3)))) (and (=> _let_1 (@ (@ (@ tptp.the_inv_into_o_rat C3) G) I2)) (=> (not _let_1) X2))))) (@ (@ tptp.bNF_We6195730058148253354_rat_o tptp.top_top_set_rat) _let_1)))))) (forall ((G (-> tptp.nat tptp.rat)) (C3 tptp.set_nat) (B5 tptp.set_nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.sup_sup_set_nat B5) (@ (@ tptp.insert_nat X2) tptp.bot_bot_set_nat)))) (=> (@ (@ tptp.inj_on_nat_rat G) C3) (=> (@ (@ tptp.ord_less_eq_set_nat C3) _let_1) (@ (@ tptp.member_rat_nat (lambda ((I2 tptp.rat)) (@ (@ (@ tptp.if_nat (@ (@ tptp.member_rat I2) (@ (@ tptp.image_nat_rat G) C3))) (@ (@ (@ tptp.the_inv_into_nat_rat C3) G) I2)) X2))) (@ (@ tptp.bNF_We7223962090624190782at_nat tptp.top_top_set_rat) _let_1)))))) (forall ((G (-> tptp.int tptp.nat)) (C3 tptp.set_int) (B5 tptp.set_int) (X2 tptp.int)) (let ((_let_1 (@ (@ tptp.sup_sup_set_int B5) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))) (=> (@ (@ tptp.inj_on_int_nat G) C3) (=> (@ (@ tptp.ord_less_eq_set_int C3) _let_1) (@ (@ tptp.member_nat_int (lambda ((I2 tptp.nat)) (@ (@ (@ tptp.if_int (@ (@ tptp.member_nat I2) (@ (@ tptp.image_int_nat G) C3))) (@ (@ (@ tptp.the_inv_into_int_nat C3) G) I2)) X2))) (@ (@ tptp.bNF_We7538026264050006418at_int tptp.top_top_set_nat) _let_1)))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_nat F) (=> (@ tptp.condit5413489452508810728elow_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_o A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat F) A4))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_nat A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat F) A4))))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_int F) (=> (@ tptp.condit5413489452508810728elow_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_o A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_o_int F) A4))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_nat A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int F) A4))))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ tptp.order_7782127260464396005t_unit F) (=> (@ tptp.condit5413489452508810728elow_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_o A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_o_Product_unit F) A4))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_nat A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat F) A4))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit1735850657277959132ow_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_int A4))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int F) A4))))))) (forall ((F (-> tptp.int tptp.product_unit)) (A4 tptp.set_int)) (=> (@ tptp.order_2843698775922903023t_unit F) (=> (@ tptp.condit1735850657277959132ow_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_int A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit F) A4))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit9161856309968323677t_unit A4) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.comple2584293577114468500t_unit A4))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_int (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.complete_Inf_Inf_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_5846526143423701914t_unit (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit1738341127787009408ow_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.complete_Inf_Inf_nat _let_1))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_8730104196221521654t_unit (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.int tptp.int)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.product_unit tptp.int)) (I3 tptp.set_Product_unit)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> Bool tptp.int)) (I3 tptp.set_o)) (let ((_let_1 (@ (@ tptp.image_o_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) (@ F (@ A4 X4)))) I3)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.nat tptp.int)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ F (@ tptp.complete_Inf_Inf_int _let_1))) (@ tptp.complete_Inf_Inf_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3)))))))) (forall ((S5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (R3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (= (@ (@ tptp.relcom8911704206367525917at_int (@ (@ tptp.sup_su362511073950362882_nat_o S5) T3)) R3) (@ (@ tptp.sup_su5231854730092680051_int_o (@ (@ tptp.relcom8911704206367525917at_int S5) R3)) (@ (@ tptp.relcom8911704206367525917at_int T3) R3)))) (forall ((S5 (-> tptp.int tptp.int Bool)) (T3 (-> tptp.int tptp.int Bool)) (R3 (-> tptp.int tptp.code_integer Bool))) (= (@ (@ tptp.relcom967497705283160040nteger (@ (@ tptp.sup_sup_int_int_o S5) T3)) R3) (@ (@ tptp.sup_su1544571744061072657eger_o (@ (@ tptp.relcom967497705283160040nteger S5) R3)) (@ (@ tptp.relcom967497705283160040nteger T3) R3)))) (forall ((R3 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) (S5 (-> tptp.product_prod_nat_nat tptp.int Bool)) (T3 (-> tptp.product_prod_nat_nat tptp.int Bool))) (let ((_let_1 (@ tptp.relcom8911704206367525917at_int R3))) (= (@ _let_1 (@ (@ tptp.sup_su5231854730092680051_int_o S5) T3)) (@ (@ tptp.sup_su5231854730092680051_int_o (@ _let_1 S5)) (@ _let_1 T3))))) (forall ((R3 (-> tptp.int tptp.int Bool)) (S5 (-> tptp.int tptp.code_integer Bool)) (T3 (-> tptp.int tptp.code_integer Bool))) (let ((_let_1 (@ tptp.relcom967497705283160040nteger R3))) (= (@ _let_1 (@ (@ tptp.sup_su1544571744061072657eger_o S5) T3)) (@ (@ tptp.sup_su1544571744061072657eger_o (@ _let_1 S5)) (@ _let_1 T3))))) (forall ((R3 tptp.set_se7855581050983116737at_nat)) (= (@ tptp.field_nat (@ tptp.comple5685304695842803022at_nat R3)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_5853224409075402146et_nat tptp.field_nat) R3)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ (@ tptp.image_rat_nat (@ (@ tptp.the_inv_into_nat_rat A4) F)) (@ (@ tptp.image_nat_rat F) A4)) A4))) (forall ((F (-> tptp.rat tptp.nat)) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_rat_nat F) A4) (= (@ (@ tptp.image_nat_rat (@ (@ tptp.the_inv_into_rat_nat A4) F)) (@ (@ tptp.image_rat_nat F) A4)) A4))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ (@ tptp.image_nat_nat (@ (@ tptp.the_inv_into_nat_nat A4) F)) (@ (@ tptp.image_nat_nat F) A4)) A4))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ (@ tptp.image_nat_int (@ (@ tptp.the_inv_into_int_nat A4) F)) (@ (@ tptp.image_int_nat F) A4)) A4))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (= (@ (@ tptp.image_int_nat (@ (@ tptp.the_inv_into_nat_int A4) F)) (@ (@ tptp.image_nat_int F) A4)) A4))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ (@ tptp.image_int_int (@ (@ tptp.the_inv_into_int_int A4) F)) (@ (@ tptp.image_int_int F) A4)) A4))) (forall ((F (-> tptp.char tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_8382823969816519465at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage8942442433166402803at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_char))))) (forall ((F (-> tptp.list_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_2795870212791037530at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage8527374361057053988at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_list_nat))))) (forall ((F (-> tptp.rat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_9175953278516507234at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage2119786153496215084at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_rat))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (= (@ _let_1 (@ (@ tptp.vimage_nat_rat F) A4)) (@ (@ tptp.inf_inf_set_rat A4) (@ _let_1 tptp.top_top_set_nat))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_nat F))) (= (@ _let_1 (@ (@ tptp.vimage_nat_nat F) A4)) (@ (@ tptp.inf_inf_set_nat A4) (@ _let_1 tptp.top_top_set_nat))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_nat_int F))) (= (@ _let_1 (@ (@ tptp.vimage_nat_int F) A4)) (@ (@ tptp.inf_inf_set_int A4) (@ _let_1 tptp.top_top_set_nat))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_5846123807819985514at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage8013328719654469172at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_nat))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (= (@ _let_1 (@ (@ tptp.vimage_int_nat F) A4)) (@ (@ tptp.inf_inf_set_nat A4) (@ _let_1 tptp.top_top_set_int))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_int_int F))) (= (@ _let_1 (@ (@ tptp.vimage_int_int F) A4)) (@ (@ tptp.inf_inf_set_int A4) (@ _let_1 tptp.top_top_set_int))))) (forall ((F (-> tptp.int tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.image_8883965892284119310at_nat F))) (= (@ _let_1 (@ (@ tptp.vimage1827798767263827160at_nat F) A4)) (@ (@ tptp.inf_in2572325071724192079at_nat A4) (@ _let_1 tptp.top_top_set_int))))) (forall ((F (-> tptp.nat Bool)) (G (-> Bool Bool)) (X2 tptp.set_o)) (= (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.vimage_o_o G) X2)) (@ (@ tptp.vimage_nat_o (@ (@ tptp.comp_o_o_nat G) F)) X2))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.num)) (X2 tptp.set_num)) (= (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.vimage_nat_num G) X2)) (@ (@ tptp.vimage_int_num (@ (@ tptp.comp_nat_num_int G) F)) X2))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.set_nat)) (= (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.vimage_nat_nat G) X2)) (@ (@ tptp.vimage_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) X2))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (X2 tptp.set_nat)) (= (@ (@ tptp.vimage_int_int F) (@ (@ tptp.vimage_int_nat G) X2)) (@ (@ tptp.vimage_int_nat (@ (@ tptp.comp_int_nat_int G) F)) X2))) (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (X2 tptp.set_Pr4111642102156807771nteger)) (= (@ (@ tptp.vimage6029918387083761651nteger F) (@ (@ tptp.vimage4289680085338140859nteger G) X2)) (@ (@ tptp.vimage6839621282666897215nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) X2))) (forall ((F (-> tptp.nat Bool)) (G (-> Bool Bool)) (Set tptp.set_o)) (= (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.vimage_o_o G) Set)) (@ (@ tptp.vimage_nat_o (@ (@ tptp.comp_o_o_nat G) F)) Set))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.num)) (Set tptp.set_num)) (= (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.vimage_nat_num G) Set)) (@ (@ tptp.vimage_int_num (@ (@ tptp.comp_nat_num_int G) F)) Set))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (Set tptp.set_nat)) (= (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.vimage_nat_nat G) Set)) (@ (@ tptp.vimage_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)) Set))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat)) (Set tptp.set_nat)) (= (@ (@ tptp.vimage_int_int F) (@ (@ tptp.vimage_int_nat G) Set)) (@ (@ tptp.vimage_int_nat (@ (@ tptp.comp_int_nat_int G) F)) Set))) (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (Set tptp.set_Pr4111642102156807771nteger)) (= (@ (@ tptp.vimage6029918387083761651nteger F) (@ (@ tptp.vimage4289680085338140859nteger G) Set)) (@ (@ tptp.vimage6839621282666897215nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)) Set))) (forall ((I tptp.produc3843707927480180839at_nat) (J4 tptp.produc3843707927480180839at_nat) (R3 tptp.set_Pr5564308138774400199at_nat)) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat I) J4)) R3) (@ (@ tptp.member8757157785044589968at_nat J4) (@ tptp.field_2862844103579723188at_nat R3)))) (forall ((I tptp.product_prod_nat_nat) (J4 tptp.product_prod_nat_nat) (R3 tptp.set_Pr8693737435421807431at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat I) J4)) R3) (@ (@ tptp.member8440522571783428010at_nat J4) (@ tptp.field_4706345496283612622at_nat R3)))) (forall ((I Bool) (J4 Bool) (R3 tptp.set_Product_prod_o_o)) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o I) J4)) R3) (@ (@ tptp.member_o J4) (@ tptp.field_o R3)))) (forall ((I tptp.set_Pr4329608150637261639at_nat) (J4 tptp.set_Pr4329608150637261639at_nat) (R3 tptp.set_Pr7459493094073627847at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat I) J4)) R3) (@ (@ tptp.member6273874620674182256at_nat J4) (@ tptp.field_1428494348145443988at_nat R3)))) (forall ((I tptp.set_Pr1261947904930325089at_nat) (J4 tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I) J4)) R3) (@ (@ tptp.member2643936169264416010at_nat J4) (@ tptp.field_3145993188331922222at_nat R3)))) (forall ((I tptp.nat) (J4 tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I) J4)) R3) (@ (@ tptp.member_nat J4) (@ tptp.field_nat R3)))) (forall ((I tptp.int) (J4 tptp.int) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I) J4)) R3) (@ (@ tptp.member_int J4) (@ tptp.field_int R3)))) (forall ((I tptp.produc3843707927480180839at_nat) (J4 tptp.produc3843707927480180839at_nat) (R3 tptp.set_Pr5564308138774400199at_nat)) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat I) J4)) R3) (@ (@ tptp.member8757157785044589968at_nat I) (@ tptp.field_2862844103579723188at_nat R3)))) (forall ((I tptp.product_prod_nat_nat) (J4 tptp.product_prod_nat_nat) (R3 tptp.set_Pr8693737435421807431at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat I) J4)) R3) (@ (@ tptp.member8440522571783428010at_nat I) (@ tptp.field_4706345496283612622at_nat R3)))) (forall ((I Bool) (J4 Bool) (R3 tptp.set_Product_prod_o_o)) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o I) J4)) R3) (@ (@ tptp.member_o I) (@ tptp.field_o R3)))) (forall ((I tptp.set_Pr4329608150637261639at_nat) (J4 tptp.set_Pr4329608150637261639at_nat) (R3 tptp.set_Pr7459493094073627847at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat I) J4)) R3) (@ (@ tptp.member6273874620674182256at_nat I) (@ tptp.field_1428494348145443988at_nat R3)))) (forall ((I tptp.set_Pr1261947904930325089at_nat) (J4 tptp.set_Pr1261947904930325089at_nat) (R3 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat I) J4)) R3) (@ (@ tptp.member2643936169264416010at_nat I) (@ tptp.field_3145993188331922222at_nat R3)))) (forall ((I tptp.nat) (J4 tptp.nat) (R3 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat I) J4)) R3) (@ (@ tptp.member_nat I) (@ tptp.field_nat R3)))) (forall ((I tptp.int) (J4 tptp.int) (R3 tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int I) J4)) R3) (@ (@ tptp.member_int I) (@ tptp.field_int R3)))) (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.inf_in6969519006101653788_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ (@ tptp.inf_in2456762090751560885at_nat R3) S5))))) (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.inf_in6124848772414083356_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ (@ tptp.inf_in7913087082777306421at_nat R3) S5))))) (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.inf_inf_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ (@ tptp.inf_in7510916698018314649at_num R3) S5))))) (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.inf_inf_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ (@ tptp.inf_in2269163501485487111nt_int R3) S5))))) (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.inf_inf_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ (@ tptp.inf_in2572325071724192079at_nat R3) S5))))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (X2 tptp.nat) (Y3 Bool)) (let ((_let_1 (@ tptp.comp_o_o_nat F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_nat_o G) X2) Y3)) (@ (@ (@ tptp.fun_upd_nat_o (@ _let_1 G)) X2) (@ F Y3))))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (X2 tptp.int) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.comp_nat_num_int F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_int_nat G) X2) Y3)) (@ (@ (@ tptp.fun_upd_int_num (@ _let_1 G)) X2) (@ F Y3))))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat)) (X2 tptp.nat) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.comp_nat_nat_nat F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_nat_nat G) X2) Y3)) (@ (@ (@ tptp.fun_upd_nat_nat (@ _let_1 G)) X2) (@ F Y3))))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.int tptp.int)) (X2 tptp.int) (Y3 tptp.int)) (let ((_let_1 (@ tptp.comp_int_nat_int F))) (= (@ _let_1 (@ (@ (@ tptp.fun_upd_int_int G) X2) Y3)) (@ (@ (@ tptp.fun_upd_int_nat (@ _let_1 G)) X2) (@ F Y3))))) (forall ((F (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger)) (G (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (X2 tptp.code_integer) (Y3 (-> tptp.code_integer tptp.code_integer))) (let ((_let_1 (@ tptp.comp_C8797469213163452608nteger F))) (= (@ _let_1 (@ (@ (@ tptp.fun_up8056716234270145717nteger G) X2) Y3)) (@ (@ (@ tptp.fun_up8139772397987072257nteger (@ _let_1 G)) X2) (@ F Y3))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) (@ (@ tptp.vimage_nat_rat F) A4))) A4)) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) (@ (@ tptp.vimage_nat_nat F) A4))) A4)) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_int)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) (@ (@ tptp.vimage_nat_int F) A4))) A4)) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_nat)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) (@ (@ tptp.vimage_int_nat F) A4))) A4)) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) (@ (@ tptp.vimage_int_int F) A4))) A4)) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (= (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.vimage_nat_rat F) B5)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.vimage_nat_nat F) B5)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.vimage_nat_int F) B5)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (= (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.vimage_int_nat F) B5)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (= (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.vimage_int_int F) B5)))) (forall ((F (-> tptp.char tptp.char)) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_char F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.vimage_char_char F) A4)) A4)))) (forall ((F (-> tptp.char tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_char_rat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.vimage_char_rat F) A4)) A4)))) (forall ((F (-> tptp.char tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_char_nat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.vimage_char_nat F) A4)) A4)))) (forall ((F (-> tptp.char tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_char_int F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.vimage_char_int F) A4)) A4)))) (forall ((F (-> tptp.rat tptp.char)) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_rat_char F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.vimage_rat_char F) A4)) A4)))) (forall ((F (-> tptp.rat tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.vimage_rat_rat F) A4)) A4)))) (forall ((F (-> tptp.rat tptp.nat)) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_rat_nat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_nat) (= (@ _let_1 (@ (@ tptp.vimage_rat_nat F) A4)) A4)))) (forall ((F (-> tptp.rat tptp.int)) (A4 tptp.set_int)) (let ((_let_1 (@ tptp.image_rat_int F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_int) (= (@ _let_1 (@ (@ tptp.vimage_rat_int F) A4)) A4)))) (forall ((F (-> tptp.nat tptp.char)) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_nat_char F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_char) (= (@ _let_1 (@ (@ tptp.vimage_nat_char F) A4)) A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_rat) (= (@ _let_1 (@ (@ tptp.vimage_nat_rat F) A4)) A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_rat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1103211067700513672ow_rat (@ (@ tptp.image_nat_rat F) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_nat_nat F) A4))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit1738341127787009408ow_nat A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_nat_int F) A4))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit1738341127787009408ow_nat (@ (@ tptp.image_int_nat F) A4))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit1735850657277959132ow_int A4) (@ tptp.condit1735850657277959132ow_int (@ (@ tptp.image_int_int F) A4))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_rat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit1579696412822616692ve_rat (@ (@ tptp.image_nat_rat F) A4))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_nat_nat F) A4))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_nat_int F) A4))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit2214826472909112428ve_nat (@ (@ tptp.image_int_nat F) A4))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit2212336002400062152ve_int A4) (@ tptp.condit2212336002400062152ve_int (@ (@ tptp.image_int_int F) A4))))) (forall ((R3 tptp.set_Pr7459493094073627847at_nat) (S5 tptp.set_Pr7459493094073627847at_nat)) (= (@ (@ tptp.sup_su6164525874564267778_nat_o (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr4329608150637261639at_nat) (Y5 tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) (@ (@ tptp.sup_su5395584912770621083at_nat R3) S5))))) (forall ((R3 tptp.set_Pr6200539531224447659at_num) (S5 tptp.set_Pr6200539531224447659at_num)) (= (@ (@ tptp.sup_sup_nat_num_o (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.num)) (@ (@ tptp.member9148766508732265716at_num (@ (@ tptp.product_Pair_nat_num X4) Y5)) (@ (@ tptp.sup_su2042722026077122175at_num R3) S5))))) (forall ((R3 tptp.set_Pr1261947904930325089at_nat) (S5 tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.sup_sup_nat_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R3))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) S5))) (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) (@ (@ tptp.sup_su6327502436637775413at_nat R3) S5))))) (forall ((R3 tptp.set_Pr958786334691620121nt_int) (S5 tptp.set_Pr958786334691620121nt_int)) (= (@ (@ tptp.sup_sup_int_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R3))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) S5))) (lambda ((X4 tptp.int) (Y5 tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) (@ (@ tptp.sup_su6024340866399070445nt_int R3) S5))))) (forall ((R3 tptp.set_Pr8693737435421807431at_nat) (S5 tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ tptp.sup_su362511073950362882_nat_o (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) R3))) (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) S5))) (lambda ((X4 tptp.product_prod_nat_nat) (Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) (@ (@ tptp.sup_su718114333110466843at_nat R3) S5))))) (forall ((R3 tptp.set_Pr4329608150637261639at_nat) (S5 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.sup_su7519161239522478338_nat_o (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R3))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) S5))) (lambda ((X4 tptp.set_Pr1261947904930325089at_nat) (Y5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) (@ (@ tptp.sup_su5525570899277871387at_nat R3) S5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_set_nat)) (let ((_let_1 (@ tptp.vimage_nat_nat F))) (= (@ _let_1 (@ tptp.comple7399068483239264473et_nat A4)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat _let_1) A4))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (= (@ (@ tptp.vimage2449269961533847803at_nat F) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage4653281326611754070at_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_fst_nat_nat) F)) A4)) (@ (@ tptp.vimage4653281326611754070at_nat (@ (@ tptp.comp_P1567445206330693457at_nat tptp.product_snd_nat_nat) F)) B5)))) (forall ((F (-> tptp.product_prod_nat_nat tptp.produc7812382424243267045t_unit)) (A4 tptp.set_ref_a) (B5 tptp.set_he8644174446132254637t_unit)) (= (@ (@ tptp.vimage4308919176130087787t_unit F) (@ (@ tptp.produc3946373962484743846t_unit A4) (lambda ((Uu tptp.ref_a)) B5))) (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage7322659125625010723_ref_a (@ (@ tptp.comp_P7986581389989349338at_nat tptp.produc473321116828791851t_unit) F)) A4)) (@ (@ tptp.vimage1024995831485383111t_unit (@ (@ tptp.comp_P6390991081591698364at_nat tptp.produc1126150082675451753t_unit) F)) B5)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (Y3 tptp.rat) (X2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (not (@ (@ tptp.member_rat Y3) (@ (@ tptp.image_nat_rat F) A4))) (@ (@ tptp.inj_on_nat_rat (@ (@ (@ tptp.fun_upd_nat_rat F) X2) Y3)) A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (Y3 tptp.nat) (X2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (not (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_nat_nat F) A4))) (@ (@ tptp.inj_on_nat_nat (@ (@ (@ tptp.fun_upd_nat_nat F) X2) Y3)) A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (Y3 tptp.nat) (X2 tptp.int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (not (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_int_nat F) A4))) (@ (@ tptp.inj_on_int_nat (@ (@ (@ tptp.fun_upd_int_nat F) X2) Y3)) A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (Y3 tptp.int) (X2 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (not (@ (@ tptp.member_int Y3) (@ (@ tptp.image_nat_int F) A4))) (@ (@ tptp.inj_on_nat_int (@ (@ (@ tptp.fun_upd_nat_int F) X2) Y3)) A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (Y3 tptp.int) (X2 tptp.int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (not (@ (@ tptp.member_int Y3) (@ (@ tptp.image_int_int F) A4))) (@ (@ tptp.inj_on_int_int (@ (@ (@ tptp.fun_upd_int_int F) X2) Y3)) A4)))) (forall ((F (-> tptp.nat Bool)) (G (-> Bool Bool))) (= (@ (@ tptp.comp_s9189197539837705563_set_o (@ tptp.vimage_nat_o F)) (@ tptp.vimage_o_o G)) (@ tptp.vimage_nat_o (@ (@ tptp.comp_o_o_nat G) F)))) (forall ((F (-> tptp.int tptp.nat)) (G (-> tptp.nat tptp.num))) (= (@ (@ tptp.comp_s6458263553158497821et_num (@ tptp.vimage_int_nat F)) (@ tptp.vimage_nat_num G)) (@ tptp.vimage_int_num (@ (@ tptp.comp_nat_num_int G) F)))) (forall ((F (-> tptp.nat tptp.nat)) (G (-> tptp.nat tptp.nat))) (= (@ (@ tptp.comp_s8964582002068861047et_nat (@ tptp.vimage_nat_nat F)) (@ tptp.vimage_nat_nat G)) (@ tptp.vimage_nat_nat (@ (@ tptp.comp_nat_nat_nat G) F)))) (forall ((F (-> tptp.int tptp.int)) (G (-> tptp.int tptp.nat))) (= (@ (@ tptp.comp_s7717450105097109807et_nat (@ tptp.vimage_int_int F)) (@ tptp.vimage_int_nat G)) (@ tptp.vimage_int_nat (@ (@ tptp.comp_int_nat_int G) F)))) (forall ((F (-> tptp.code_integer tptp.code_integer tptp.code_integer)) (G (-> (-> tptp.code_integer tptp.code_integer) tptp.produc8923325533196201883nteger tptp.produc8923325533196201883nteger))) (= (@ (@ tptp.comp_s4786119426940707554nteger (@ tptp.vimage6029918387083761651nteger F)) (@ tptp.vimage4289680085338140859nteger G)) (@ tptp.vimage6839621282666897215nteger (@ (@ tptp.comp_C8797469213163452608nteger G) F)))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (= (@ (@ tptp.image_405062704495631173t_unit F) tptp.top_to1996260823553986621t_unit) tptp.top_to1996260823553986621t_unit) (= (= (@ (@ tptp.vimage7995052115951654139t_unit F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bo3957492148770167129t_unit)))) (forall ((F (-> tptp.product_unit Bool)) (A4 tptp.set_o)) (=> (= (@ (@ tptp.image_Product_unit_o F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_o) (= (= (@ (@ tptp.vimage8808348054653608838unit_o F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_o)))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (= (@ (@ tptp.image_o_Product_unit F) tptp.top_top_set_o) tptp.top_to1996260823553986621t_unit) (= (= (@ (@ tptp.vimage4222377557387472176t_unit F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bo3957492148770167129t_unit)))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o)) (=> (= (@ (@ tptp.image_o_o F) tptp.top_top_set_o) tptp.top_top_set_o) (= (= (@ (@ tptp.vimage_o_o F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_o)))) (forall ((F (-> tptp.product_unit tptp.char)) (A4 tptp.set_char)) (=> (= (@ (@ tptp.image_7248553556944771225t_char F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_char) (= (= (@ (@ tptp.vimage2648087219933717859t_char F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_char)))) (forall ((F (-> Bool tptp.char)) (A4 tptp.set_char)) (=> (= (@ (@ tptp.image_o_char F) tptp.top_top_set_o) tptp.top_top_set_char) (= (= (@ (@ tptp.vimage_o_char F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_char)))) (forall ((F (-> tptp.product_unit tptp.rat)) (A4 tptp.set_rat)) (=> (= (@ (@ tptp.image_240439954468258464it_rat F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_rat) (= (= (@ (@ tptp.vimage5618198413390092650it_rat F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_rat)))) (forall ((F (-> Bool tptp.rat)) (A4 tptp.set_rat)) (=> (= (@ (@ tptp.image_o_rat F) tptp.top_top_set_o) tptp.top_top_set_rat) (= (= (@ (@ tptp.vimage_o_rat F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_rat)))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_nat)) (=> (= (@ (@ tptp.image_875570014554754200it_nat F) tptp.top_to1996260823553986621t_unit) tptp.top_top_set_nat) (= (= (@ (@ tptp.vimage6253328473476588386it_nat F) A4) tptp.bot_bo3957492148770167129t_unit) (= A4 tptp.bot_bot_set_nat)))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_nat)) (=> (= (@ (@ tptp.image_o_nat F) tptp.top_top_set_o) tptp.top_top_set_nat) (= (= (@ (@ tptp.vimage_o_nat F) A4) tptp.bot_bot_set_o) (= A4 tptp.bot_bot_set_nat)))) (forall ((F (-> tptp.char tptp.char)) (B5 tptp.set_char) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_char F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_char) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_char F) B5)) A4) (@ (@ tptp.ord_less_eq_set_char B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.char tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_rat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_rat) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_rat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_rat B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.char tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_nat F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_nat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_nat B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.char tptp.int)) (B5 tptp.set_int) (A4 tptp.set_char)) (let ((_let_1 (@ tptp.image_char_int F))) (=> (= (@ _let_1 tptp.top_top_set_char) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_char (@ (@ tptp.vimage_char_int F) B5)) A4) (@ (@ tptp.ord_less_eq_set_int B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.rat tptp.char)) (B5 tptp.set_char) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_char F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_char) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_char F) B5)) A4) (@ (@ tptp.ord_less_eq_set_char B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.rat tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_rat) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_rat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_rat B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.rat tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_nat F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_nat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_nat B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.rat tptp.int)) (B5 tptp.set_int) (A4 tptp.set_rat)) (let ((_let_1 (@ tptp.image_rat_int F))) (=> (= (@ _let_1 tptp.top_top_set_rat) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.vimage_rat_int F) B5)) A4) (@ (@ tptp.ord_less_eq_set_int B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.nat tptp.char)) (B5 tptp.set_char) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_char F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_char) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_char F) B5)) A4) (@ (@ tptp.ord_less_eq_set_char B5) (@ _let_1 A4)))))) (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.image_nat_rat F))) (=> (= (@ _let_1 tptp.top_top_set_nat) tptp.top_top_set_rat) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_rat F) B5)) A4) (@ (@ tptp.ord_less_eq_set_rat B5) (@ _let_1 A4)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_num))) (let ((_let_1 (@ (@ tptp.vimage5436458796434496692at_num (@ tptp.product_Pair_nat_num X2)) (@ (@ tptp.produc6237731129814287028at_num A4) F)))) (let ((_let_2 (@ (@ tptp.member_nat X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_num)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_int))) (let ((_let_1 (@ (@ tptp.vimage7872673496510460816nt_int (@ tptp.product_Pair_int_int X2)) (@ (@ tptp.produc1453890548195736866nt_int A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_int)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_Product_unit))) (let ((_let_1 (@ (@ tptp.vimage508909887551888138t_unit (@ tptp.produc3901946521647900940t_unit X2)) (@ (@ tptp.produc411009820408249917t_unit A4) F)))) (let ((_let_2 (@ (@ tptp.member_o X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bo3957492148770167129t_unit)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_Product_unit))) (let ((_let_1 (@ (@ tptp.vimage7305857734363866308t_unit (@ tptp.produc3434450474625521892t_unit X2)) (@ (@ tptp.produc5506539147108004339t_unit A4) F)))) (let ((_let_2 (@ (@ tptp.member_nat X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bo3957492148770167129t_unit)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_Product_unit))) (let ((_let_1 (@ (@ tptp.vimage4422279681566046568t_unit (@ tptp.produc550872421827702152t_unit X2)) (@ (@ tptp.produc2622961094310184599t_unit A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bo3957492148770167129t_unit)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_o))) (let ((_let_1 (@ (@ tptp.vimage8945963521958007626od_o_o (@ tptp.product_Pair_o_o X2)) (@ (@ tptp.product_Sigma_o_o A4) F)))) (let ((_let_2 (@ (@ tptp.member_o X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_o)))))) (forall ((X2 tptp.nat) (A4 tptp.set_nat) (F (-> tptp.nat tptp.set_o))) (let ((_let_1 (@ (@ tptp.vimage6125388955539849434_nat_o (@ tptp.product_Pair_nat_o X2)) (@ (@ tptp.product_Sigma_nat_o A4) F)))) (let ((_let_2 (@ (@ tptp.member_nat X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_o)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_o))) (let ((_let_1 (@ (@ tptp.vimage4304346610107161470_int_o (@ tptp.product_Pair_int_o X2)) (@ (@ tptp.product_Sigma_int_o A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_o)))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.set_nat))) (let ((_let_1 (@ (@ tptp.vimage5656379182745576100_o_nat (@ tptp.product_Pair_o_nat X2)) (@ (@ tptp.product_Sigma_o_nat A4) F)))) (let ((_let_2 (@ (@ tptp.member_o X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_nat)))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.set_nat))) (let ((_let_1 (@ (@ tptp.vimage9012682431555523728nt_nat (@ tptp.product_Pair_int_nat X2)) (@ (@ tptp.produc1456381018704787142nt_nat A4) F)))) (let ((_let_2 (@ (@ tptp.member_int X2) A4))) (and (=> _let_2 (= _let_1 (@ F X2))) (=> (not _let_2) (= _let_1 tptp.bot_bot_set_nat)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (= (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.image_nat_rat F) A4)) A4))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.image_nat_nat F) A4)) A4))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (= (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.image_nat_int F) A4)) A4))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (= (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.image_int_nat F) A4)) A4))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ (@ tptp.vimage_int_int F) (@ (@ tptp.image_int_int F) A4)) A4))) (@ (@ tptp.inj_on3412903767820855855at_nat (lambda ((F2 (-> tptp.nat tptp.nat))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (= Y5 (@ F2 X4))))))) tptp.top_top_set_nat_nat) (@ (@ tptp.inj_on7039184780174133295nt_int (lambda ((F2 (-> tptp.int tptp.int))) (@ tptp.collec213857154873943460nt_int (@ tptp.produc4947309494688390418_int_o (lambda ((X4 tptp.int) (Y5 tptp.int)) (= Y5 (@ F2 X4))))))) tptp.top_top_set_int_int) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (Y3 tptp.rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.member_rat Y3) (@ (@ tptp.image_nat_rat F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_nat_rat A4) F) Y3)) Y3)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (Y3 tptp.nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_nat_nat F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_nat_nat A4) F) Y3)) Y3)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (Y3 tptp.nat)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.member_nat Y3) (@ (@ tptp.image_int_nat F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_int_nat A4) F) Y3)) Y3)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (Y3 tptp.int)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.member_int Y3) (@ (@ tptp.image_nat_int F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_nat_int A4) F) Y3)) Y3)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (Y3 tptp.int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.member_int Y3) (@ (@ tptp.image_int_int F) A4)) (= (@ F (@ (@ (@ tptp.the_inv_into_int_int A4) F) Y3)) Y3)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ (@ tptp.inj_on_rat_nat (@ (@ tptp.the_inv_into_nat_rat A4) F)) (@ (@ tptp.image_nat_rat F) A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ (@ tptp.inj_on_nat_nat (@ (@ tptp.the_inv_into_nat_nat A4) F)) (@ (@ tptp.image_nat_nat F) A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ (@ tptp.inj_on_int_nat (@ (@ tptp.the_inv_into_nat_int A4) F)) (@ (@ tptp.image_nat_int F) A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ (@ tptp.inj_on_nat_int (@ (@ tptp.the_inv_into_int_nat A4) F)) (@ (@ tptp.image_int_nat F) A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ (@ tptp.inj_on_int_int (@ (@ tptp.the_inv_into_int_int A4) F)) (@ (@ tptp.image_int_int F) A4)))) (forall ((A4 tptp.set_ref_a)) (= (@ (@ tptp.vimage2910454108108208703_ref_a tptp.produc473321116828791851t_unit) A4) (@ (@ tptp.produc3946373962484743846t_unit A4) (lambda ((Uu tptp.ref_a)) tptp.top_to3956321331435058429t_unit)))) (forall ((A4 tptp.set_nat)) (= (@ (@ tptp.vimage4653281326611754070at_nat tptp.product_fst_nat_nat) A4) (@ (@ tptp.produc457027306803732586at_nat A4) (lambda ((Uu tptp.nat)) tptp.top_top_set_nat)))) (forall ((A4 tptp.set_he8644174446132254637t_unit)) (= (@ (@ tptp.vimage6116673589273818795t_unit tptp.produc1126150082675451753t_unit) A4) (@ (@ tptp.produc3946373962484743846t_unit tptp.top_top_set_ref_a) (lambda ((Uu tptp.ref_a)) A4)))) (forall ((A4 tptp.set_nat)) (= (@ (@ tptp.vimage4653281326611754070at_nat tptp.product_snd_nat_nat) A4) (@ (@ tptp.produc457027306803732586at_nat tptp.top_top_set_nat) (lambda ((Uu tptp.nat)) A4)))) (forall ((F (-> tptp.set_nat tptp.set_nat)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_1005506198798982270et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_7916887816326733075et_nat F) A4))) (@ F (@ tptp.comple7399068483239264473et_nat A4))))) (forall ((F (-> tptp.product_unit tptp.set_nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_509894322932672675et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))) (forall ((F (-> tptp.set_nat tptp.product_unit)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_7928700340835332885t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_6369283972875870912t_unit F) A4))) (@ F (@ tptp.comple7399068483239264473et_nat A4))))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_4454465170704313136t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))) (forall ((F (-> tptp.set_nat tptp.set_nat)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_1005506198798982270et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ F (@ tptp.comple7806235888213564991et_nat A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_7916887816326733075et_nat F) A4))))) (forall ((F (-> tptp.set_nat tptp.product_unit)) (A4 tptp.set_set_nat)) (=> (@ tptp.order_7928700340835332885t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.comple7806235888213564991et_nat A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_6369283972875870912t_unit F) A4))))) (forall ((F (-> tptp.product_unit tptp.set_nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_509894322932672675et_nat F) (@ (@ tptp.ord_less_eq_set_nat (@ F (@ tptp.comple2584293577114468500t_unit A4))) (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_8173849991827986510et_nat F) A4))))) (forall ((F (-> tptp.product_unit tptp.product_unit)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_4454465170704313136t_unit F) (@ (@ tptp.ord_le3221252021190050221t_unit (@ F (@ tptp.comple2584293577114468500t_unit A4))) (@ tptp.comple2584293577114468500t_unit (@ (@ tptp.image_405062704495631173t_unit F) A4))))) (forall ((A tptp.nat) (A4 tptp.set_nat)) (let ((_let_1 (@ tptp.pow_nat A4))) (let ((_let_2 (@ tptp.insert_nat A))) (= (@ tptp.pow_nat (@ _let_2 A4)) (@ (@ tptp.sup_sup_set_set_nat _let_1) (@ (@ tptp.image_7916887816326733075et_nat _let_2) _let_1)))))) (forall ((A tptp.product_prod_nat_nat) (A4 tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.pow_Pr3466873192417945886at_nat A4))) (let ((_let_2 (@ tptp.insert8211810215607154385at_nat A))) (= (@ tptp.pow_Pr3466873192417945886at_nat (@ _let_2 A4)) (@ (@ tptp.sup_su3642409539654194069at_nat _let_1) (@ (@ tptp.image_3684629450409544005at_nat _let_2) _let_1)))))) (forall ((A tptp.produc3843707927480180839at_nat) (A4 tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.pow_Pr1023649790151954692at_nat A4))) (let ((_let_2 (@ tptp.insert9069300056098147895at_nat A))) (= (@ tptp.pow_Pr1023649790151954692at_nat (@ _let_2 A4)) (@ (@ tptp.sup_su474284620922681339at_nat _let_1) (@ (@ tptp.image_4303274092540115909at_nat _let_2) _let_1)))))) (forall ((A tptp.product_unit) (A4 tptp.set_Product_unit)) (let ((_let_1 (@ tptp.pow_Product_unit A4))) (let ((_let_2 (@ tptp.insert_Product_unit A))) (= (@ tptp.pow_Product_unit (@ _let_2 A4)) (@ (@ tptp.sup_su5975557051335651745t_unit _let_1) (@ (@ tptp.image_4019945301284682565t_unit _let_2) _let_1)))))) (forall ((A Bool) (A4 tptp.set_o)) (let ((_let_1 (@ tptp.pow_o A4))) (let ((_let_2 (@ tptp.insert_o A))) (= (@ tptp.pow_o (@ _let_2 A4)) (@ (@ tptp.sup_sup_set_set_o _let_1) (@ (@ tptp.image_set_o_set_o _let_2) _let_1)))))) (forall ((F (-> tptp.nat tptp.rat)) (B5 tptp.set_rat) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_rat F) B5)) A4)))) (forall ((F (-> tptp.nat tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_nat F) B5)) A4)))) (forall ((F (-> tptp.nat tptp.int)) (B5 tptp.set_int) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.vimage_nat_int F) B5)) A4)))) (forall ((F (-> tptp.int tptp.nat)) (B5 tptp.set_nat) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.vimage_int_nat F) B5)) A4)))) (forall ((F (-> tptp.int tptp.int)) (B5 tptp.set_int) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.vimage_int_int F) B5)) A4)))) (= tptp.vimage4884490618288580032t_unit (lambda ((F2 (-> tptp.nat tptp.product_unit)) (B6 tptp.set_Product_unit)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_8173849991827986510et_nat (lambda ((Y5 tptp.product_unit)) (@ (@ tptp.vimage4884490618288580032t_unit F2) (@ (@ tptp.insert_Product_unit Y5) tptp.bot_bo3957492148770167129t_unit)))) B6)))) (= tptp.vimage6435164912253009178at_nat (lambda ((F2 (-> tptp.nat tptp.produc3843707927480180839at_nat)) (B6 tptp.set_Pr4329608150637261639at_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat (lambda ((Y5 tptp.produc3843707927480180839at_nat)) (@ (@ tptp.vimage6435164912253009178at_nat F2) (@ (@ tptp.insert9069300056098147895at_nat Y5) tptp.bot_bo228742789529271731at_nat)))) B6)))) (= tptp.vimage8013328719654469172at_nat (lambda ((F2 (-> tptp.nat tptp.product_prod_nat_nat)) (B6 tptp.set_Pr1261947904930325089at_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat (lambda ((Y5 tptp.product_prod_nat_nat)) (@ (@ tptp.vimage8013328719654469172at_nat F2) (@ (@ tptp.insert8211810215607154385at_nat Y5) tptp.bot_bo2099793752762293965at_nat)))) B6)))) (= tptp.vimage_nat_o (lambda ((F2 (-> tptp.nat Bool)) (B6 tptp.set_o)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat (lambda ((Y5 Bool)) (@ (@ tptp.vimage_nat_o F2) (@ (@ tptp.insert_o Y5) tptp.bot_bot_set_o)))) B6)))) (= tptp.vimage_nat_nat (lambda ((F2 (-> tptp.nat tptp.nat)) (B6 tptp.set_nat)) (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat (lambda ((Y5 tptp.nat)) (@ (@ tptp.vimage_nat_nat F2) (@ (@ tptp.insert_nat Y5) tptp.bot_bot_set_nat)))) B6)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (X2 tptp.rat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.member_rat X2) (@ (@ tptp.image_nat_rat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_rat A4) F) X2)) B5))))) (forall ((F (-> Bool Bool)) (A4 tptp.set_o) (X2 Bool) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_o F) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_o_o F) A4)) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.member_o (@ (@ (@ tptp.the_inv_into_o_o A4) F) X2)) B5))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat) (X2 Bool) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_o F) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_nat_o F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_o A4) F) X2)) B5))))) (forall ((F (-> tptp.int Bool)) (A4 tptp.set_int) (X2 Bool) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_o F) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_int_o F) A4)) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.member_int (@ (@ (@ tptp.the_inv_into_int_o A4) F) X2)) B5))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o) (X2 tptp.nat) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_nat F) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_o_nat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.member_o (@ (@ (@ tptp.the_inv_into_o_nat A4) F) X2)) B5))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_nat_nat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_nat A4) F) X2)) B5))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.nat) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_int_nat F) A4)) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.member_int (@ (@ (@ tptp.the_inv_into_int_nat A4) F) X2)) B5))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o) (X2 tptp.int) (B5 tptp.set_o)) (=> (@ (@ tptp.inj_on_o_int F) A4) (=> (@ (@ tptp.member_int X2) (@ (@ tptp.image_o_int F) A4)) (=> (@ (@ tptp.ord_less_eq_set_o A4) B5) (@ (@ tptp.member_o (@ (@ (@ tptp.the_inv_into_o_int A4) F) X2)) B5))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 tptp.int) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.member_int X2) (@ (@ tptp.image_nat_int F) A4)) (=> (@ (@ tptp.ord_less_eq_set_nat A4) B5) (@ (@ tptp.member_nat (@ (@ (@ tptp.the_inv_into_nat_int A4) F) X2)) B5))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 tptp.int) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.member_int X2) (@ (@ tptp.image_int_int F) A4)) (=> (@ (@ tptp.ord_less_eq_set_int A4) B5) (@ (@ tptp.member_int (@ (@ (@ tptp.the_inv_into_int_int A4) F) X2)) B5))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 tptp.rat)) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_rat F) _let_1) (=> (@ (@ tptp.inj_on_nat_nat G) A4) (=> (@ (@ tptp.member_rat X2) (@ (@ tptp.image_nat_rat F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_rat A4) (@ (@ tptp.comp_nat_rat_nat F) G)) X2) (@ (@ (@ tptp.comp_nat_nat_rat (@ (@ tptp.the_inv_into_nat_nat A4) G)) (@ (@ tptp.the_inv_into_nat_rat _let_1) F)) X2))))))) (forall ((F (-> tptp.nat tptp.num)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.num)) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_num F) _let_1) (=> (@ (@ tptp.inj_on_int_nat G) A4) (=> (@ (@ tptp.member_num X2) (@ (@ tptp.image_nat_num F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_num A4) (@ (@ tptp.comp_nat_num_int F) G)) X2) (@ (@ (@ tptp.comp_nat_int_num (@ (@ tptp.the_inv_into_int_nat A4) G)) (@ (@ tptp.the_inv_into_nat_num _let_1) F)) X2))))))) (forall ((F (-> tptp.nat tptp.rat)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 tptp.rat)) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_rat F) _let_1) (=> (@ (@ tptp.inj_on_int_nat G) A4) (=> (@ (@ tptp.member_rat X2) (@ (@ tptp.image_nat_rat F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_rat A4) (@ (@ tptp.comp_nat_rat_int F) G)) X2) (@ (@ (@ tptp.comp_nat_int_rat (@ (@ tptp.the_inv_into_int_nat A4) G)) (@ (@ tptp.the_inv_into_nat_rat _let_1) F)) X2))))))) (forall ((F (-> Bool Bool)) (G (-> tptp.nat Bool)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_o G) A4))) (let ((_let_2 (@ tptp.the_inv_into_nat_o A4))) (=> (@ (@ tptp.inj_on_o_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_o G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_o_o F) _let_1)) (= (@ (@ _let_2 (@ (@ tptp.comp_o_o_nat F) G)) X2) (@ (@ (@ tptp.comp_o_nat_o (@ _let_2 G)) (@ (@ tptp.the_inv_into_o_o _let_1) F)) X2)))))))) (forall ((F (-> tptp.rat Bool)) (G (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_rat G) A4))) (=> (@ (@ tptp.inj_on_rat_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_rat G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_rat_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_o A4) (@ (@ tptp.comp_rat_o_nat F) G)) X2) (@ (@ (@ tptp.comp_rat_nat_o (@ (@ tptp.the_inv_into_nat_rat A4) G)) (@ (@ tptp.the_inv_into_rat_o _let_1) F)) X2))))))) (forall ((F (-> tptp.nat Bool)) (G (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_nat G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_nat_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_o A4) (@ (@ tptp.comp_nat_o_nat F) G)) X2) (@ (@ (@ tptp.comp_nat_nat_o (@ (@ tptp.the_inv_into_nat_nat A4) G)) (@ (@ tptp.the_inv_into_nat_o _let_1) F)) X2))))))) (forall ((F (-> tptp.int Bool)) (G (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_nat_int G) A4))) (=> (@ (@ tptp.inj_on_int_o F) _let_1) (=> (@ (@ tptp.inj_on_nat_int G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_int_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_nat_o A4) (@ (@ tptp.comp_int_o_nat F) G)) X2) (@ (@ (@ tptp.comp_int_nat_o (@ (@ tptp.the_inv_into_nat_int A4) G)) (@ (@ tptp.the_inv_into_int_o _let_1) F)) X2))))))) (forall ((F (-> tptp.nat Bool)) (G (-> tptp.int tptp.nat)) (A4 tptp.set_int) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_int_nat G) A4))) (=> (@ (@ tptp.inj_on_nat_o F) _let_1) (=> (@ (@ tptp.inj_on_int_nat G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_nat_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_o A4) (@ (@ tptp.comp_nat_o_int F) G)) X2) (@ (@ (@ tptp.comp_nat_int_o (@ (@ tptp.the_inv_into_int_nat A4) G)) (@ (@ tptp.the_inv_into_nat_o _let_1) F)) X2))))))) (forall ((F (-> tptp.int Bool)) (G (-> tptp.int tptp.int)) (A4 tptp.set_int) (X2 Bool)) (let ((_let_1 (@ (@ tptp.image_int_int G) A4))) (=> (@ (@ tptp.inj_on_int_o F) _let_1) (=> (@ (@ tptp.inj_on_int_int G) A4) (=> (@ (@ tptp.member_o X2) (@ (@ tptp.image_int_o F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_int_o A4) (@ (@ tptp.comp_int_o_int F) G)) X2) (@ (@ (@ tptp.comp_int_int_o (@ (@ tptp.the_inv_into_int_int A4) G)) (@ (@ tptp.the_inv_into_int_o _let_1) F)) X2))))))) (forall ((F (-> Bool tptp.nat)) (G (-> Bool Bool)) (A4 tptp.set_o) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.image_o_o G) A4))) (=> (@ (@ tptp.inj_on_o_nat F) _let_1) (=> (@ (@ tptp.inj_on_o_o G) A4) (=> (@ (@ tptp.member_nat X2) (@ (@ tptp.image_o_nat F) _let_1)) (= (@ (@ (@ tptp.the_inv_into_o_nat A4) (@ (@ tptp.comp_o_nat_o F) G)) X2) (@ (@ (@ tptp.comp_o_o_nat (@ (@ tptp.the_inv_into_o_o A4) G)) (@ (@ tptp.the_inv_into_o_nat _let_1) F)) X2))))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.int)) (Y3 tptp.int)) (let ((_let_1 (@ tptp.image_int_int F))) (let ((_let_2 (@ (@ tptp.image_int_int (@ (@ (@ tptp.fun_upd_int_int F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_int Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.nat)) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.image_int_nat F))) (let ((_let_2 (@ (@ tptp.image_int_nat (@ (@ (@ tptp.fun_upd_int_nat F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_nat Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int tptp.product_unit)) (Y3 tptp.product_unit)) (let ((_let_1 (@ tptp.image_5846526143423701914t_unit F))) (let ((_let_2 (@ (@ tptp.image_5846526143423701914t_unit (@ (@ (@ tptp.fun_up2220634978854545698t_unit F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_Product_unit Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 tptp.int) (A4 tptp.set_int) (F (-> tptp.int Bool)) (Y3 Bool)) (let ((_let_1 (@ tptp.image_int_o F))) (let ((_let_2 (@ (@ tptp.image_int_o (@ (@ (@ tptp.fun_upd_int_o F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_int X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_o Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_int A4) (@ (@ tptp.insert_int X2) tptp.bot_bot_set_int)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.nat)) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.image_875570014554754200it_nat F))) (let ((_let_2 (@ (@ tptp.image_875570014554754200it_nat (@ (@ (@ tptp.fun_up6473050886840373792it_nat F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_Product_unit X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_nat Y3) (@ _let_1 (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (F (-> tptp.product_unit tptp.product_unit)) (Y3 tptp.product_unit)) (let ((_let_1 (@ tptp.image_405062704495631173t_unit F))) (let ((_let_2 (@ (@ tptp.image_405062704495631173t_unit (@ (@ (@ tptp.fun_up6875000483049295805t_unit F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_Product_unit X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_Product_unit Y3) (@ _let_1 (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 tptp.product_unit) (A4 tptp.set_Product_unit) (F (-> tptp.product_unit Bool)) (Y3 Bool)) (let ((_let_1 (@ tptp.image_Product_unit_o F))) (let ((_let_2 (@ (@ tptp.image_Product_unit_o (@ (@ (@ tptp.fun_up5432024876597553480unit_o F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_Product_unit X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_o Y3) (@ _let_1 (@ (@ tptp.minus_6452836326544984404t_unit A4) (@ (@ tptp.insert_Product_unit X2) tptp.bot_bo3957492148770167129t_unit)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.nat)) (Y3 tptp.nat)) (let ((_let_1 (@ tptp.image_o_nat F))) (let ((_let_2 (@ (@ tptp.image_o_nat (@ (@ (@ tptp.fun_upd_o_nat F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_o X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_nat Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_o A4) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool tptp.product_unit)) (Y3 tptp.product_unit)) (let ((_let_1 (@ tptp.image_o_Product_unit F))) (let ((_let_2 (@ (@ tptp.image_o_Product_unit (@ (@ (@ tptp.fun_up846054379331416818t_unit F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_o X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_Product_unit Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_o A4) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((X2 Bool) (A4 tptp.set_o) (F (-> Bool Bool)) (Y3 Bool)) (let ((_let_1 (@ tptp.image_o_o F))) (let ((_let_2 (@ (@ tptp.image_o_o (@ (@ (@ tptp.fun_upd_o_o F) X2) Y3)) A4))) (let ((_let_3 (@ (@ tptp.member_o X2) A4))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert_o Y3) (@ _let_1 (@ (@ tptp.minus_minus_set_o A4) (@ (@ tptp.insert_o X2) tptp.bot_bot_set_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A4)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.int tptp.nat)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 (-> tptp.nat tptp.nat)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_nat A4) I3))) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_nat _let_1)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.int tptp.int)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_int_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.product_unit tptp.int)) (I3 tptp.set_Product_unit)) (let ((_let_1 (@ (@ tptp.image_873079544045703924it_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> Bool tptp.int)) (I3 tptp.set_o)) (let ((_let_1 (@ (@ tptp.image_o_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 (-> tptp.nat tptp.int)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_nat_int A4) I3))) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.complete_Sup_Sup_int _let_1)))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> tptp.int tptp.product_unit)) (I3 tptp.set_int)) (let ((_let_1 (@ (@ tptp.image_5846526143423701914t_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat (lambda ((X4 tptp.int)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> tptp.product_unit tptp.product_unit)) (I3 tptp.set_Product_unit)) (let ((_let_1 (@ (@ tptp.image_405062704495631173t_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat (lambda ((X4 tptp.product_unit)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> Bool tptp.product_unit)) (I3 tptp.set_o)) (let ((_let_1 (@ (@ tptp.image_o_Product_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat (lambda ((X4 Bool)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 (-> tptp.nat tptp.product_unit)) (I3 tptp.set_nat)) (let ((_let_1 (@ (@ tptp.image_8730104196221521654t_unit A4) I3))) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit _let_1) (=> (not (= I3 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ A4 X4)))) I3))) (@ F (@ tptp.comple4687483117567863418t_unit _let_1)))))))) (forall ((F (-> Bool tptp.nat)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_nat F) (=> (@ tptp.condit5488710616941104124bove_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_o_nat F) A4))) (@ F (@ tptp.complete_Sup_Sup_o A4))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_nat F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_nat_nat F) A4))) (@ F (@ tptp.complete_Sup_Sup_nat A4))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_nat F) (=> (@ tptp.condit2212336002400062152ve_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_int_nat F) A4))) (@ F (@ tptp.complete_Sup_Sup_int A4))))))) (forall ((F (-> tptp.product_unit tptp.nat)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_7096114683908731117it_nat F) (=> (@ tptp.condit2080475194861589617t_unit A4) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_nat (@ tptp.complete_Sup_Sup_nat (@ (@ tptp.image_875570014554754200it_nat F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))))) (forall ((F (-> Bool tptp.int)) (A4 tptp.set_o)) (=> (@ tptp.order_mono_o_int F) (=> (@ tptp.condit5488710616941104124bove_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_o_int F) A4))) (@ F (@ tptp.complete_Sup_Sup_o A4))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.order_mono_nat_int F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_nat_int F) A4))) (@ F (@ tptp.complete_Sup_Sup_nat A4))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.order_mono_int_int F) (=> (@ tptp.condit2212336002400062152ve_int A4) (=> (not (= A4 tptp.bot_bot_set_int)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_int_int F) A4))) (@ F (@ tptp.complete_Sup_Sup_int A4))))))) (forall ((F (-> tptp.product_unit tptp.int)) (A4 tptp.set_Product_unit)) (=> (@ tptp.order_7093624213399680841it_int F) (=> (@ tptp.condit2080475194861589617t_unit A4) (=> (not (= A4 tptp.bot_bo3957492148770167129t_unit)) (@ (@ tptp.ord_less_eq_int (@ tptp.complete_Sup_Sup_int (@ (@ tptp.image_873079544045703924it_int F) A4))) (@ F (@ tptp.comple4687483117567863418t_unit A4))))))) (forall ((F (-> Bool tptp.product_unit)) (A4 tptp.set_o)) (=> (@ tptp.order_7782127260464396005t_unit F) (=> (@ tptp.condit5488710616941104124bove_o A4) (=> (not (= A4 tptp.bot_bot_set_o)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_o_Product_unit F) A4))) (@ F (@ tptp.complete_Sup_Sup_o A4))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.order_5727276828720722763t_unit F) (=> (@ tptp.condit2214826472909112428ve_nat A4) (=> (not (= A4 tptp.bot_bot_set_nat)) (@ (@ tptp.ord_le3221252021190050221t_unit (@ tptp.comple4687483117567863418t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4))) (@ F (@ tptp.complete_Sup_Sup_nat A4))))))) (forall ((F1 (-> tptp.nat tptp.rat)) (A13 tptp.set_nat) (B1 tptp.set_rat) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_rat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We7904740386373615514nt_rat B22) B1) (@ (@ tptp.image_1904597124500147013nt_rat (@ (@ (@ tptp.bNF_We576767280138975660at_int B22) F1) F22)) (@ (@ tptp.bNF_We8539870446460111250nt_nat A24) A13)))))))) (forall ((F1 (-> tptp.nat tptp.nat)) (A13 tptp.set_nat) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_5412825682893543741nt_nat (@ (@ (@ tptp.bNF_We893321924073841572at_int B22) F1) F22)) (@ (@ tptp.bNF_We8539870446460111250nt_nat A24) A13)))))))) (forall ((F1 (-> tptp.nat tptp.int)) (A13 tptp.set_nat) (B1 tptp.set_int) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_nat_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_1234974663384347033nt_int (@ (@ (@ tptp.bNF_We1892675635974896128nt_int B22) F1) F22)) (@ (@ tptp.bNF_We8539870446460111250nt_nat A24) A13)))))))) (forall ((F1 (-> tptp.int tptp.nat)) (A13 tptp.set_int) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_int_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_1600535827742230425nt_nat (@ (@ (@ tptp.bNF_We1264975484310686208at_int B22) F1) F22)) (@ (@ tptp.bNF_We8537379975951060974nt_int A24) A13)))))))) (forall ((F1 (-> tptp.int tptp.int)) (A13 tptp.set_int) (B1 tptp.set_int) (F22 (-> tptp.int tptp.int)) (B22 tptp.set_int) (A24 tptp.set_int)) (=> (= (@ (@ tptp.image_int_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_int F22) B22) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_int)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_6646056845087809525nt_int (@ (@ (@ tptp.bNF_We2264329196211740764nt_int B22) F1) F22)) (@ (@ tptp.bNF_We8537379975951060974nt_int A24) A13)))))))) (forall ((F1 (-> tptp.nat tptp.rat)) (A13 tptp.set_nat) (B1 tptp.set_rat) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_rat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We7904740386373615514nt_rat B22) B1) (@ (@ tptp.image_696479991571767017nt_rat (@ (@ (@ tptp.bNF_We579257750648025936at_nat B22) F1) F22)) (@ (@ tptp.bNF_We7540516734559056694at_nat A24) A13)))))))) (forall ((F1 (-> tptp.nat tptp.nat)) (A13 tptp.set_nat) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_4204708549965163745nt_nat (@ (@ (@ tptp.bNF_We895812394582891848at_nat B22) F1) F22)) (@ (@ tptp.bNF_We7540516734559056694at_nat A24) A13)))))))) (forall ((F1 (-> tptp.nat tptp.int)) (A13 tptp.set_nat) (B1 tptp.set_int) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_nat_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_26857530455967037nt_int (@ (@ (@ tptp.bNF_We1895166106483946404nt_nat B22) F1) F22)) (@ (@ tptp.bNF_We7540516734559056694at_nat A24) A13)))))))) (forall ((F1 (-> tptp.int tptp.nat)) (A13 tptp.set_int) (B1 tptp.set_nat) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_int_nat F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8539870446460111250nt_nat B22) B1) (@ (@ tptp.image_392418694813850429nt_nat (@ (@ (@ tptp.bNF_We1267465954819736484at_nat B22) F1) F22)) (@ (@ tptp.bNF_We7538026264050006418at_int A24) A13)))))))) (forall ((F1 (-> tptp.int tptp.int)) (A13 tptp.set_int) (B1 tptp.set_int) (F22 (-> tptp.int tptp.nat)) (B22 tptp.set_int) (A24 tptp.set_nat)) (=> (= (@ (@ tptp.image_int_int F1) A13) B1) (=> (@ (@ tptp.inj_on_int_nat F22) B22) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F22) B22)) A24) (=> (=> (= B22 tptp.bot_bot_set_int) (= A24 tptp.bot_bot_set_nat)) (= (@ (@ tptp.bNF_We8537379975951060974nt_int B22) B1) (@ (@ tptp.image_5437939712159429529nt_int (@ (@ (@ tptp.bNF_We2266819666720791040nt_nat B22) F1) F22)) (@ (@ tptp.bNF_We7538026264050006418at_int A24) A13)))))))) _let_94 _let_93 _let_92 _let_91 (forall ((R tptp.set_Pr7459493094073627847at_nat)) (=> (@ (@ tptp.total_5117575981256876747at_nat (@ tptp.field_1428494348145443988at_nat R)) R) (=> (@ (@ tptp.ord_le5997549366648089703at_nat R) tptp.id_set4888139568991089827at_nat) (or (= R tptp.bot_bo4948859079157340979at_nat) (exists ((A3 tptp.set_Pr4329608150637261639at_nat)) (= R (@ (@ tptp.insert291458823148189367at_nat (@ (@ tptp.produc9060074326276436823at_nat A3) A3)) tptp.bot_bo4948859079157340979at_nat))))))) (forall ((R tptp.set_Pr958786334691620121nt_int)) (=> (@ (@ tptp.total_on_int (@ tptp.field_int R)) R) (=> (@ (@ tptp.ord_le2843351958646193337nt_int R) tptp.id_int2) (or (= R tptp.bot_bo1796632182523588997nt_int) (exists ((A3 tptp.int)) (= R (@ (@ tptp.insert5033312907999012233nt_int (@ (@ tptp.product_Pair_int_int A3) A3)) tptp.bot_bo1796632182523588997nt_int))))))) (forall ((R tptp.set_Pr8693737435421807431at_nat)) (=> (@ (@ tptp.total_3592101749530773125at_nat (@ tptp.field_4706345496283612622at_nat R)) R) (=> (@ (@ tptp.ord_le3000389064537975527at_nat R) tptp.id_Pro2258643101195443293at_nat) (or (= R tptp.bot_bo5327735625951526323at_nat) (exists ((A3 tptp.product_prod_nat_nat)) (= R (@ (@ tptp.insert5050368324300391991at_nat (@ (@ tptp.produc6161850002892822231at_nat A3) A3)) tptp.bot_bo5327735625951526323at_nat))))))) (forall ((R tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.total_7212417256332265445at_nat (@ tptp.field_3145993188331922222at_nat R)) R) (=> (@ (@ tptp.ord_le1268244103169919719at_nat R) tptp.id_set1796276052702428605at_nat) (or (= R tptp.bot_bo228742789529271731at_nat) (exists ((A3 tptp.set_Pr1261947904930325089at_nat)) (= R (@ (@ tptp.insert9069300056098147895at_nat (@ (@ tptp.produc2922128104949294807at_nat A3) A3)) tptp.bot_bo228742789529271731at_nat))))))) (forall ((R tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.total_on_nat (@ tptp.field_nat R)) R) (=> (@ (@ tptp.ord_le3146513528884898305at_nat R) tptp.id_nat2) (or (= R tptp.bot_bo2099793752762293965at_nat) (exists ((A3 tptp.nat)) (= R (@ (@ tptp.insert8211810215607154385at_nat (@ (@ tptp.product_Pair_nat_nat A3) A3)) tptp.bot_bo2099793752762293965at_nat))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) (@ (@ tptp.image_int_int F) A4)) (not (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) A4)))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.rat)) (and (@ (@ tptp.member_rat X) (@ (@ tptp.image_nat_rat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat X) tptp.bot_bot_set_rat))) A4)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) (@ (@ tptp.image_nat_int F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int X) tptp.bot_bot_set_int))) A4)))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))) A4)))))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_nat_o F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_nat_o F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))) A4)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_int_nat F) A4)) (not (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) A4)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_nat_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))) A4)))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage3104651464403166471t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))) A4)))))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage8013328719654469172at_nat F) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))) A4)))))))) (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage2444243245536687506_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))) A4)))))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (not (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_int F) (@ (@ tptp.insert_int Y) tptp.bot_bot_set_int))) A4)))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.rat)) (=> (@ (@ tptp.member_rat Y) (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_rat F) (@ (@ tptp.insert_rat Y) tptp.bot_bot_set_rat))) A4)))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_int F) (@ (@ tptp.insert_int Y) tptp.bot_bot_set_int))) A4)))))))) (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit Y) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit Y) tptp.bot_bo3957492148770167129t_unit))) A4)))))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_nat_o F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ (@ tptp.image_nat_o F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.insert_o Y) tptp.bot_bot_set_o))) A4)))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (not (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_finite_int (@ (@ tptp.inf_inf_set_int (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.insert_nat Y) tptp.bot_bot_set_nat))) A4)))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.nat)) (=> (@ (@ tptp.member_nat Y) (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.insert_nat Y) tptp.bot_bot_set_nat))) A4)))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.int)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_2483585944268220136at_int F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (not (forall ((Y tptp.int)) (=> (@ (@ tptp.member_int Y) (@ (@ tptp.image_2483585944268220136at_int F) A4)) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage4650790856102703794at_int F) (@ (@ tptp.insert_int Y) tptp.bot_bot_set_int))) A4)))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (not (forall ((Y tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit Y) (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.inf_in2572325071724192079at_nat (@ (@ tptp.vimage3104651464403166471t_unit F) (@ (@ tptp.insert_Product_unit Y) tptp.bot_bo3957492148770167129t_unit))) A4)))))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (not (forall ((Y tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ tptp.finite_finite_nat (@ (@ tptp.inf_inf_set_nat (@ (@ tptp.vimage8013328719654469172at_nat F) (@ (@ tptp.insert8211810215607154385at_nat Y) tptp.bot_bo2099793752762293965at_nat))) A4)))))))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ tptp.basic_5713354656523905413at_nat (@ (@ tptp.produc9060074326276436823at_nat X2) Y3)) (@ (@ tptp.insert2290795007606087959at_nat Y3) tptp.bot_bo1534825418459847827at_nat))) (forall ((X2 tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.set_Pr1261947904930325089at_nat)) (= (@ tptp.basic_484852565060450053at_nat (@ (@ tptp.produc2922128104949294807at_nat X2) Y3)) (@ (@ tptp.insert9200635055090092081at_nat Y3) tptp.bot_bo3083307316010499117at_nat))) (forall ((X2 tptp.nat) (Y3 tptp.num)) (= (@ tptp.basic_snds_nat_num (@ (@ tptp.product_Pair_nat_num X2) Y3)) (@ (@ tptp.insert_num Y3) tptp.bot_bot_set_num))) (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ tptp.basic_snds_int_int (@ (@ tptp.product_Pair_int_int X2) Y3)) (@ (@ tptp.insert_int Y3) tptp.bot_bot_set_int))) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ tptp.basic_snds_nat_nat (@ (@ tptp.product_Pair_nat_nat X2) Y3)) (@ (@ tptp.insert_nat Y3) tptp.bot_bot_set_nat))) (forall ((R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (let ((_let_1 (@ tptp.field_2862844103579723188at_nat R))) (=> (@ (@ tptp.order_2711500226769404828at_nat _let_1) R) (=> (@ (@ tptp.member8757157785044589968at_nat A) _let_1) (=> (@ (@ tptp.member8757157785044589968at_nat B) _let_1) (= (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R) (not (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat B) A)) (@ (@ tptp.minus_8235382265540049710at_nat R) tptp.id_Pro5428700290092274115at_nat))))))))) (forall ((R tptp.set_Product_prod_o_o) (A Bool) (B Bool)) (let ((_let_1 (@ tptp.field_o R))) (=> (@ (@ tptp.order_6238756238976269133r_on_o _let_1) R) (=> (@ (@ tptp.member_o A) _let_1) (=> (@ (@ tptp.member_o B) _let_1) (= (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R) (not (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o B) A)) (@ (@ tptp.minus_7052513330764642158od_o_o R) tptp.id_o2))))))))) (forall ((R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (let ((_let_1 (@ tptp.field_4706345496283612622at_nat R))) (=> (@ (@ tptp.order_7480980593162297270at_nat _let_1) R) (=> (@ (@ tptp.member8440522571783428010at_nat A) _let_1) (=> (@ (@ tptp.member8440522571783428010at_nat B) _let_1) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R) (not (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat B) A)) (@ (@ tptp.minus_8321449233255521966at_nat R) tptp.id_Pro2258643101195443293at_nat))))))))) (forall ((R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.field_1428494348145443988at_nat R))) (=> (@ (@ tptp.order_1878278401035043452at_nat _let_1) R) (=> (@ (@ tptp.member6273874620674182256at_nat A) _let_1) (=> (@ (@ tptp.member6273874620674182256at_nat B) _let_1) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R) (not (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat B) A)) (@ (@ tptp.minus_8674369445256047406at_nat R) tptp.id_set4888139568991089827at_nat))))))))) (forall ((R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.field_3145993188331922222at_nat R))) (=> (@ (@ tptp.order_5942792088423767318at_nat _let_1) R) (=> (@ (@ tptp.member2643936169264416010at_nat A) _let_1) (=> (@ (@ tptp.member2643936169264416010at_nat B) _let_1) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R) (not (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat B) A)) (@ (@ tptp.minus_3314409938677909166at_nat R) tptp.id_set1796276052702428605at_nat))))))))) (forall ((R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat) (B tptp.nat)) (let ((_let_1 (@ tptp.field_nat R))) (=> (@ (@ tptp.order_4473980167227706203on_nat _let_1) R) (=> (@ (@ tptp.member_nat A) _let_1) (=> (@ (@ tptp.member_nat B) _let_1) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R) (not (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat B) A)) (@ (@ tptp.minus_1356011639430497352at_nat R) tptp.id_nat2))))))))) (forall ((R tptp.set_Pr958786334691620121nt_int) (A tptp.int) (B tptp.int)) (let ((_let_1 (@ tptp.field_int R))) (=> (@ (@ tptp.order_4471489696718655927on_int _let_1) R) (=> (@ (@ tptp.member_int A) _let_1) (=> (@ (@ tptp.member_int B) _let_1) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R) (not (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int B) A)) (@ (@ tptp.minus_1052850069191792384nt_int R) tptp.id_int2))))))))) _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_rat A4) (@ (@ tptp.image_nat_rat F) tptp.top_top_set_nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.vimage_nat_rat F) A4)) (@ tptp.finite_card_rat A4))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.vimage_nat_nat F) A4)) (@ tptp.finite_card_nat A4))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_nat_int F) tptp.top_top_set_nat) (=> (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.image_nat_int F) tptp.top_top_set_nat)) (= (@ tptp.finite_card_nat (@ (@ tptp.vimage_nat_int F) A4)) (@ tptp.finite_card_int A4))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_int_nat F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.image_int_nat F) tptp.top_top_set_int)) (= (@ tptp.finite_card_int (@ (@ tptp.vimage_int_nat F) A4)) (@ tptp.finite_card_nat A4))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (=> (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.image_int_int F) tptp.top_top_set_int)) (= (@ tptp.finite_card_int (@ (@ tptp.vimage_int_int F) A4)) (@ tptp.finite_card_int A4))))) (forall ((R tptp.set_Pr7459493094073627847at_nat)) (let ((_let_1 (@ tptp.field_1428494348145443988at_nat R))) (=> (@ (@ tptp.order_1878278401035043452at_nat _let_1) R) (= (@ (@ tptp.order_423636163458052581at_nat _let_1) R) (forall ((A6 tptp.set_se5479201105039950375at_nat)) (=> (@ (@ tptp.ord_le7966958417815640519at_nat A6) (@ tptp.field_1428494348145443988at_nat R)) (=> (not (= A6 tptp.bot_bo1534825418459847827at_nat)) (exists ((X4 tptp.set_Pr4329608150637261639at_nat)) (and (@ (@ tptp.member6273874620674182256at_nat X4) A6) (forall ((Y5 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member6273874620674182256at_nat Y5) A6) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat X4) Y5)) R)))))))))))) (forall ((R tptp.set_Pr4329608150637261639at_nat)) (let ((_let_1 (@ tptp.field_3145993188331922222at_nat R))) (=> (@ (@ tptp.order_5942792088423767318at_nat _let_1) R) (= (@ (@ tptp.order_1968183844437341695at_nat _let_1) R) (forall ((A6 tptp.set_se7855581050983116737at_nat)) (=> (@ (@ tptp.ord_le2077887516847798113at_nat A6) (@ tptp.field_3145993188331922222at_nat R)) (=> (not (= A6 tptp.bot_bo3083307316010499117at_nat)) (exists ((X4 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.member2643936169264416010at_nat X4) A6) (forall ((Y5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member2643936169264416010at_nat Y5) A6) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X4) Y5)) R)))))))))))) (forall ((R tptp.set_Pr958786334691620121nt_int)) (let ((_let_1 (@ tptp.field_int R))) (=> (@ (@ tptp.order_4471489696718655927on_int _let_1) R) (= (@ (@ tptp.order_2886507596567047182on_int _let_1) R) (forall ((A6 tptp.set_int)) (=> (@ (@ tptp.ord_less_eq_set_int A6) (@ tptp.field_int R)) (=> (not (= A6 tptp.bot_bot_set_int)) (exists ((X4 tptp.int)) (and (@ (@ tptp.member_int X4) A6) (forall ((Y5 tptp.int)) (=> (@ (@ tptp.member_int Y5) A6) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int X4) Y5)) R)))))))))))) (forall ((R tptp.set_Pr5094982260447487303t_unit)) (let ((_let_1 (@ tptp.field_Product_unit R))) (=> (@ (@ tptp.order_888282469287196226t_unit _let_1) R) (= (@ (@ tptp.order_3164716736300062379t_unit _let_1) R) (forall ((A6 tptp.set_Product_unit)) (=> (@ (@ tptp.ord_le3507040750410214029t_unit A6) (@ tptp.field_Product_unit R)) (=> (not (= A6 tptp.bot_bo3957492148770167129t_unit)) (exists ((X4 tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X4) A6) (forall ((Y5 tptp.product_unit)) (=> (@ (@ tptp.member_Product_unit Y5) A6) (@ (@ tptp.member7821138191923116944t_unit (@ (@ tptp.produc5692694829384537815t_unit X4) Y5)) R)))))))))))) (forall ((R tptp.set_Pr5564308138774400199at_nat)) (let ((_let_1 (@ tptp.field_2862844103579723188at_nat R))) (=> (@ (@ tptp.order_2711500226769404828at_nat _let_1) R) (= (@ (@ tptp.order_2339240034117818117at_nat _let_1) R) (forall ((A6 tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.ord_le1268244103169919719at_nat A6) (@ tptp.field_2862844103579723188at_nat R)) (=> (not (= A6 tptp.bot_bo228742789529271731at_nat)) (exists ((X4 tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X4) A6) (forall ((Y5 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat Y5) A6) (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat X4) Y5)) R)))))))))))) (forall ((R tptp.set_Pr8693737435421807431at_nat)) (let ((_let_1 (@ tptp.field_4706345496283612622at_nat R))) (=> (@ (@ tptp.order_7480980593162297270at_nat _let_1) R) (= (@ (@ tptp.order_8331247224601271455at_nat _let_1) R) (forall ((A6 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A6) (@ tptp.field_4706345496283612622at_nat R)) (=> (not (= A6 tptp.bot_bo2099793752762293965at_nat)) (exists ((X4 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X4) A6) (forall ((Y5 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y5) A6) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X4) Y5)) R)))))))))))) (forall ((R tptp.set_Product_prod_o_o)) (let ((_let_1 (@ tptp.field_o R))) (=> (@ (@ tptp.order_6238756238976269133r_on_o _let_1) R) (= (@ (@ tptp.order_2615775362358406454r_on_o _let_1) R) (forall ((A6 tptp.set_o)) (=> (@ (@ tptp.ord_less_eq_set_o A6) (@ tptp.field_o R)) (=> (not (= A6 tptp.bot_bot_set_o)) (exists ((X4 Bool)) (and (@ (@ tptp.member_o X4) A6) (forall ((Y5 Bool)) (=> (@ (@ tptp.member_o Y5) A6) (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o X4) Y5)) R)))))))))))) (forall ((R tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.field_nat R))) (=> (@ (@ tptp.order_4473980167227706203on_nat _let_1) R) (= (@ (@ tptp.order_2888998067076097458on_nat _let_1) R) (forall ((A6 tptp.set_nat)) (=> (@ (@ tptp.ord_less_eq_set_nat A6) (@ tptp.field_nat R)) (=> (not (= A6 tptp.bot_bot_set_nat)) (exists ((X4 tptp.nat)) (and (@ (@ tptp.member_nat X4) A6) (forall ((Y5 tptp.nat)) (=> (@ (@ tptp.member_nat Y5) A6) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat X4) Y5)) R)))))))))))) (forall ((F4 tptp.set_int) (H (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int F4) (@ tptp.finite_finite_int (@ (@ tptp.image_int_int H) F4)))) (forall ((F4 tptp.set_int) (H (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int F4) (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat H) F4)))) (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (H (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat F4) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat H) F4)))) (forall ((F4 tptp.set_Pr1261947904930325089at_nat) (H (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ tptp.finite6177210948735845034at_nat F4) (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat H) F4)))) (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat H) F4)))) (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int H) F4)))) (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat H) F4)))) (forall ((F4 tptp.set_nat) (H (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat F4) (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat H) F4)))) (forall ((A tptp.product_prod_nat_nat)) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) A)) tptp.id_Pro2258643101195443293at_nat)) (forall ((A tptp.set_Pr4329608150637261639at_nat)) (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) A)) tptp.id_set4888139568991089827at_nat)) (forall ((A tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) A)) tptp.id_set1796276052702428605at_nat)) (forall ((A tptp.nat)) (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) A)) tptp.id_nat2)) (forall ((A tptp.int)) (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) A)) tptp.id_int2)) (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) tptp.id_Pro2258643101195443293at_nat) (= A B))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) tptp.id_set4888139568991089827at_nat) (= A B))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (= (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) tptp.id_set1796276052702428605at_nat) (= A B))) (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) tptp.id_nat2) (= A B))) (forall ((A tptp.int) (B tptp.int)) (= (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) tptp.id_int2) (= A B))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (= (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat B5) A4))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 X4))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_nat A4) (= (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat B5) A4))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 X4))))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (= (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) A4) (@ tptp.finite_finite_nat (@ B5 X4))))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat A4) (= (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) A4) (@ tptp.finite_finite_nat (@ B5 X4))))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite4343798906461161616at_nat A4) (=> (forall ((A3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7979982168039674559at_nat B5) A4)))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_o A4) (=> (forall ((A3 Bool)) (=> (@ (@ tptp.member_o A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7077428525161401678at_nat B5) A4)))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_int A4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_8938366415781434990at_nat B5) A4)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_5423882813909314213at_nat B5) A4)))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_Pr1261947904930325089at_nat))) (=> (@ tptp.finite_finite_nat A4) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A4) (@ tptp.finite6177210948735845034at_nat (@ B5 A3)))) (@ tptp.finite6177210948735845034at_nat (@ tptp.comple5685304695842803022at_nat (@ (@ tptp.image_7178329752028323786at_nat B5) A4)))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (B5 (-> tptp.produc3843707927480180839at_nat tptp.set_nat))) (=> (@ tptp.finite4343798906461161616at_nat A4) (=> (forall ((A3 tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_3160451284896210088et_nat B5) A4)))))) (forall ((A4 tptp.set_o) (B5 (-> Bool tptp.set_nat))) (=> (@ tptp.finite_finite_o A4) (=> (forall ((A3 Bool)) (=> (@ (@ tptp.member_o A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_o_set_nat B5) A4)))))) (forall ((A4 tptp.set_int) (B5 (-> tptp.int tptp.set_nat))) (=> (@ tptp.finite_finite_int A4) (=> (forall ((A3 tptp.int)) (=> (@ (@ tptp.member_int A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_int_set_nat B5) A4)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (forall ((A3 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat B5) A4)))))) (forall ((A4 tptp.set_nat) (B5 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat A4) (=> (forall ((A3 tptp.nat)) (=> (@ (@ tptp.member_nat A3) A4) (@ tptp.finite_finite_nat (@ B5 A3)))) (@ tptp.finite_finite_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat B5) A4)))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat I3) (= (@ tptp.condit1738341127787009408ow_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (@ tptp.condit1738341127787009408ow_nat (@ A4 X4))))))) (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat I3) (= (@ tptp.condit1738341127787009408ow_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (@ tptp.condit1738341127787009408ow_nat (@ A4 X4))))))) (forall ((I3 tptp.set_Pr1261947904930325089at_nat) (A4 (-> tptp.product_prod_nat_nat tptp.set_nat))) (=> (@ tptp.finite6177210948735845034at_nat I3) (= (@ tptp.condit2214826472909112428ve_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_15824709712370754et_nat A4) I3))) (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) I3) (@ tptp.condit2214826472909112428ve_nat (@ A4 X4))))))) (forall ((I3 tptp.set_nat) (A4 (-> tptp.nat tptp.set_nat))) (=> (@ tptp.finite_finite_nat I3) (= (@ tptp.condit2214826472909112428ve_nat (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat A4) I3))) (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) I3) (@ tptp.condit2214826472909112428ve_nat (@ A4 X4))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4))) (@ tptp.finite_card_int A4)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4))) (@ tptp.finite_card_int A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4))) (@ tptp.finite_card_nat A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4))) (@ tptp.finite_card_nat A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4))) (@ tptp.finite_card_nat A4)))) (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat B5)) (@ tptp.finite_card_int A4))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int B5)) (@ tptp.finite_card_int A4))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_rat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_rat B5)) (@ tptp.finite_card_nat A4))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat B5)) (@ tptp.finite_card_nat A4))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int B5)) (@ tptp.finite_card_nat A4))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (=> (= (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_card_int A4)) (@ (@ tptp.inj_on_int_nat F) A4)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (= (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_card_int A4)) (@ (@ tptp.inj_on_int_int F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (=> (= (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_card_nat A4)) (@ (@ tptp.inj_on_nat_rat F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (= (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_card_nat A4)) (@ (@ tptp.inj_on_nat_nat F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (=> (= (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_card_nat A4)) (@ (@ tptp.inj_on_nat_int F) A4)))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (= (@ (@ tptp.inj_on_int_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_card_int A4))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (= (@ (@ tptp.inj_on_int_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_card_int A4))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (= (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_card_nat A4))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (= (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_card_nat A4))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (= (@ (@ tptp.inj_on_nat_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_card_nat A4))))) (forall ((A4 tptp.set_Pr4329608150637261639at_nat) (R tptp.set_Pr5564308138774400199at_nat) (A tptp.produc3843707927480180839at_nat) (B tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.order_2339240034117818117at_nat A4) R) (=> (@ (@ tptp.member6009668390874684176at_nat (@ (@ tptp.produc2335810615602371415at_nat A) B)) R) (and (@ (@ tptp.member8757157785044589968at_nat A) A4) (@ (@ tptp.member8757157785044589968at_nat B) A4))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (R tptp.set_Pr8693737435421807431at_nat) (A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (@ (@ tptp.order_8331247224601271455at_nat A4) R) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) R) (and (@ (@ tptp.member8440522571783428010at_nat A) A4) (@ (@ tptp.member8440522571783428010at_nat B) A4))))) (forall ((A4 tptp.set_o) (R tptp.set_Product_prod_o_o) (A Bool) (B Bool)) (=> (@ (@ tptp.order_2615775362358406454r_on_o A4) R) (=> (@ (@ tptp.member7466972457876170832od_o_o (@ (@ tptp.product_Pair_o_o A) B)) R) (and (@ (@ tptp.member_o A) A4) (@ (@ tptp.member_o B) A4))))) (forall ((A4 tptp.set_se5479201105039950375at_nat) (R tptp.set_Pr7459493094073627847at_nat) (A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.order_423636163458052581at_nat A4) R) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) R) (and (@ (@ tptp.member6273874620674182256at_nat A) A4) (@ (@ tptp.member6273874620674182256at_nat B) A4))))) (forall ((A4 tptp.set_se7855581050983116737at_nat) (R tptp.set_Pr4329608150637261639at_nat) (A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.order_1968183844437341695at_nat A4) R) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) R) (and (@ (@ tptp.member2643936169264416010at_nat A) A4) (@ (@ tptp.member2643936169264416010at_nat B) A4))))) (forall ((A4 tptp.set_int) (R tptp.set_Pr958786334691620121nt_int) (A tptp.int) (B tptp.int)) (=> (@ (@ tptp.order_2886507596567047182on_int A4) R) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) R) (and (@ (@ tptp.member_int A) A4) (@ (@ tptp.member_int B) A4))))) (forall ((A4 tptp.set_nat) (R tptp.set_Pr1261947904930325089at_nat) (A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.order_2888998067076097458on_nat A4) R) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) R) (and (@ (@ tptp.member_nat A) A4) (@ (@ tptp.member_nat B) A4))))) (forall ((S5 tptp.set_rat)) (=> (not (@ tptp.finite_finite_rat S5)) (exists ((F5 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F5) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F5) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_int)) (=> (not (@ tptp.finite_finite_int S5)) (exists ((F5 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F5) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F5) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat)) (=> (not (@ tptp.finite6177210948735845034at_nat S5)) (exists ((F5 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F5) tptp.top_top_set_nat) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F5) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_nat)) (=> (not (@ tptp.finite_finite_nat S5)) (exists ((F5 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F5) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F5) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_rat)) (= (not (@ tptp.finite_finite_rat S5)) (exists ((F2 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F2) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F2) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_int)) (= (not (@ tptp.finite_finite_int S5)) (exists ((F2 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F2) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F2) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat)) (= (not (@ tptp.finite6177210948735845034at_nat S5)) (exists ((F2 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F2) tptp.top_top_set_nat) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F2) tptp.top_top_set_nat)) S5))))) (forall ((S5 tptp.set_nat)) (= (not (@ tptp.finite_finite_nat S5)) (exists ((F2 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F2) tptp.top_top_set_nat) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F2) tptp.top_top_set_nat)) S5))))) (forall ((P tptp.produc859450856879609959at_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat P) tptp.id_Pro2258643101195443293at_nat) (not (forall ((X tptp.product_prod_nat_nat)) (not (= P (@ (@ tptp.produc6161850002892822231at_nat X) X))))))) (forall ((P tptp.produc1319942482725812455at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat P) tptp.id_set4888139568991089827at_nat) (not (forall ((X tptp.set_Pr4329608150637261639at_nat)) (not (= P (@ (@ tptp.produc9060074326276436823at_nat X) X))))))) (forall ((P tptp.produc3843707927480180839at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat P) tptp.id_set1796276052702428605at_nat) (not (forall ((X tptp.set_Pr1261947904930325089at_nat)) (not (= P (@ (@ tptp.produc2922128104949294807at_nat X) X))))))) (forall ((P tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat P) tptp.id_nat2) (not (forall ((X tptp.nat)) (not (= P (@ (@ tptp.product_Pair_nat_nat X) X))))))) (forall ((P tptp.product_prod_int_int)) (=> (@ (@ tptp.member5262025264175285858nt_int P) tptp.id_int2) (not (forall ((X tptp.int)) (not (= P (@ (@ tptp.product_Pair_int_int X) X))))))) (forall ((A tptp.product_prod_nat_nat) (B tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat A) B)) tptp.id_Pro2258643101195443293at_nat) (= A B))) (forall ((A tptp.set_Pr4329608150637261639at_nat) (B tptp.set_Pr4329608150637261639at_nat)) (=> (@ (@ tptp.member1466754251312161552at_nat (@ (@ tptp.produc9060074326276436823at_nat A) B)) tptp.id_set4888139568991089827at_nat) (= A B))) (forall ((A tptp.set_Pr1261947904930325089at_nat) (B tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat A) B)) tptp.id_set1796276052702428605at_nat) (= A B))) (forall ((A tptp.nat) (B tptp.nat)) (=> (@ (@ tptp.member8440522571783428010at_nat (@ (@ tptp.product_Pair_nat_nat A) B)) tptp.id_nat2) (= A B))) (forall ((A tptp.int) (B tptp.int)) (=> (@ (@ tptp.member5262025264175285858nt_int (@ (@ tptp.product_Pair_int_int A) B)) tptp.id_int2) (= A B))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int) (G (-> tptp.int tptp.int))) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (=> (@ (@ tptp.inj_on_int_int G) B5) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int G) B5)) A4) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_int B5) (= (@ tptp.finite_card_int A4) (@ tptp.finite_card_int B5))))))))) (forall ((F (-> tptp.rat tptp.nat)) (A4 tptp.set_rat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.rat))) (=> (@ (@ tptp.inj_on_rat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat F) A4)) B5) (=> (@ (@ tptp.inj_on_nat_rat G) B5) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat G) B5)) A4) (=> (@ tptp.finite_finite_rat A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite_card_rat A4) (@ tptp.finite_card_nat B5))))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat) (G (-> tptp.nat tptp.int))) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (=> (@ (@ tptp.inj_on_nat_int G) B5) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int G) B5)) A4) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite_card_int A4) (@ tptp.finite_card_nat B5))))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (G (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) B5) (=> (@ (@ tptp.inj_on8969904277767023793at_nat G) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat G) B5)) A4) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (@ tptp.finite711546835091564841at_nat A4) (@ tptp.finite711546835091564841at_nat B5))))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) B5) (=> (@ (@ tptp.inj_on5538052773655684606at_nat G) B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat G) B5)) A4) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite711546835091564841at_nat A4) (@ tptp.finite_card_nat B5))))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat) (G (-> tptp.rat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (=> (@ (@ tptp.inj_on_rat_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_rat_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_rat B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite_card_rat B5))))))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int) (G (-> tptp.int tptp.nat))) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (=> (@ (@ tptp.inj_on_int_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_int B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite_card_int B5))))))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (G (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) B5) (=> (@ (@ tptp.inj_on2178005380612969504at_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite711546835091564841at_nat B5))))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat) (G (-> tptp.nat tptp.nat))) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (=> (@ (@ tptp.inj_on_nat_nat G) B5) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat G) B5)) A4) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (@ tptp.finite_card_nat A4) (@ tptp.finite_card_nat B5))))))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_int B5)) (exists ((F5 (-> tptp.int tptp.int))) (and (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F5) A4)) B5) (@ (@ tptp.inj_on_int_int F5) A4))))))) (forall ((A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_nat B5)) (exists ((F5 (-> tptp.int tptp.nat))) (and (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F5) A4)) B5) (@ (@ tptp.inj_on_int_nat F5) A4))))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite711546835091564841at_nat B5)) (exists ((F5 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F5) A4)) B5) (@ (@ tptp.inj_on8969904277767023793at_nat F5) A4))))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite_card_nat B5)) (exists ((F5 (-> tptp.product_prod_nat_nat tptp.nat))) (and (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F5) A4)) B5) (@ (@ tptp.inj_on2178005380612969504at_nat F5) A4))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_rat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_rat B5)) (exists ((F5 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F5) A4)) B5) (@ (@ tptp.inj_on_nat_rat F5) A4))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_int B5)) (exists ((F5 (-> tptp.nat tptp.int))) (and (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F5) A4)) B5) (@ (@ tptp.inj_on_nat_int F5) A4))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite711546835091564841at_nat B5)) (exists ((F5 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F5) A4)) B5) (@ (@ tptp.inj_on5538052773655684606at_nat F5) A4))))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_nat B5)) (exists ((F5 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F5) A4)) B5) (@ (@ tptp.inj_on_nat_nat F5) A4))))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (=> (@ tptp.finite_finite_rat B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_rat B5)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_int B5)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_int B5)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_nat B5)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_nat B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_int B5) (= (exists ((F2 (-> tptp.int tptp.int))) (and (@ (@ tptp.inj_on_int_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_int B5)))))) (forall ((A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_int A4) (=> (@ tptp.finite_finite_nat B5) (= (exists ((F2 (-> tptp.int tptp.nat))) (and (@ (@ tptp.inj_on_int_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_int A4)) (@ tptp.finite_card_nat B5)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (exists ((F2 (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on8969904277767023793at_nat F2) A4) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite711546835091564841at_nat B5)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (exists ((F2 (-> tptp.product_prod_nat_nat tptp.nat))) (and (@ (@ tptp.inj_on2178005380612969504at_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite711546835091564841at_nat A4)) (@ tptp.finite_card_nat B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_rat B5) (= (exists ((F2 (-> tptp.nat tptp.rat))) (and (@ (@ tptp.inj_on_nat_rat F2) A4) (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_rat B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_int B5) (= (exists ((F2 (-> tptp.nat tptp.int))) (and (@ (@ tptp.inj_on_nat_int F2) A4) (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_int B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite6177210948735845034at_nat B5) (= (exists ((F2 (-> tptp.nat tptp.product_prod_nat_nat))) (and (@ (@ tptp.inj_on5538052773655684606at_nat F2) A4) (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite711546835091564841at_nat B5)))))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ tptp.finite_finite_nat A4) (=> (@ tptp.finite_finite_nat B5) (= (exists ((F2 (-> tptp.nat tptp.nat))) (and (@ (@ tptp.inj_on_nat_nat F2) A4) (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F2) A4)) B5))) (@ (@ tptp.ord_less_eq_nat (@ tptp.finite_card_nat A4)) (@ tptp.finite_card_nat B5)))))) (forall ((S5 tptp.set_int) (T3 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_int T3) (=> (= (@ tptp.finite_card_int S5) (@ tptp.finite_card_int T3)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) S5)) T3) (= (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) T3) (exists ((Y5 tptp.int)) (and (@ (@ tptp.member_int Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_int_int F) S5))))))) (forall ((S5 tptp.set_int) (T3 tptp.set_nat) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int S5) (=> (@ tptp.finite_finite_nat T3) (=> (= (@ tptp.finite_card_int S5) (@ tptp.finite_card_nat T3)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) S5)) T3) (= (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) T3) (exists ((Y5 tptp.int)) (and (@ (@ tptp.member_int Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_int_nat F) S5))))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat S5) (=> (@ tptp.finite6177210948735845034at_nat T3) (=> (= (@ tptp.finite711546835091564841at_nat S5) (@ tptp.finite711546835091564841at_nat T3)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F) S5)) T3) (= (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) T3) (exists ((Y5 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on8969904277767023793at_nat F) S5))))))) (forall ((S5 tptp.set_Pr1261947904930325089at_nat) (T3 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ tptp.finite6177210948735845034at_nat S5) (=> (@ tptp.finite_finite_nat T3) (=> (= (@ tptp.finite711546835091564841at_nat S5) (@ tptp.finite_card_nat T3)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) S5)) T3) (= (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) T3) (exists ((Y5 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on2178005380612969504at_nat F) S5))))))) (forall ((S5 tptp.set_nat) (T3 tptp.set_rat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite_finite_rat T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite_card_rat T3)) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) S5)) T3) (= (forall ((X4 tptp.rat)) (=> (@ (@ tptp.member_rat X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_nat_rat F) S5))))))) (forall ((S5 tptp.set_nat) (T3 tptp.set_int) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite_finite_int T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite_card_int T3)) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) S5)) T3) (= (forall ((X4 tptp.int)) (=> (@ (@ tptp.member_int X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_nat_int F) S5))))))) (forall ((S5 tptp.set_nat) (T3 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite6177210948735845034at_nat T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite711546835091564841at_nat T3)) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) S5)) T3) (= (forall ((X4 tptp.product_prod_nat_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on5538052773655684606at_nat F) S5))))))) (forall ((S5 tptp.set_nat) (T3 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat S5) (=> (@ tptp.finite_finite_nat T3) (=> (= (@ tptp.finite_card_nat S5) (@ tptp.finite_card_nat T3)) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) S5)) T3) (= (forall ((X4 tptp.nat)) (=> (@ (@ tptp.member_nat X4) T3) (exists ((Y5 tptp.nat)) (and (@ (@ tptp.member_nat Y5) S5) (= (@ F Y5) X4))))) (@ (@ tptp.inj_on_nat_nat F) S5))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (not (@ tptp.finite_finite_int A4)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (not (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((A5 tptp.int)) (and (@ (@ tptp.member_int A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.nat))) (=> (not (@ tptp.finite_finite_o A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_o_nat F) A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) A4) (not (@ tptp.finite_finite_o (@ tptp.collect_o (lambda ((A5 Bool)) (and (@ (@ tptp.member_o A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.nat))) (=> (not (@ tptp.finite_finite_int A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (not (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((A5 tptp.int)) (and (@ (@ tptp.member_int A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.rat))) (=> (not (@ tptp.finite_finite_nat A4)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (not (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((A5 tptp.nat)) (and (@ (@ tptp.member_nat A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.int))) (=> (not (@ tptp.finite_finite_nat A4)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (not (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((A5 tptp.nat)) (and (@ (@ tptp.member_nat A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (not (@ tptp.finite_finite_nat A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) A4) (not (@ tptp.finite_finite_nat (@ tptp.collect_nat (lambda ((A5 tptp.nat)) (and (@ (@ tptp.member_nat A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_o) (F (-> Bool tptp.product_prod_nat_nat))) (=> (not (@ tptp.finite_finite_o A4)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_3855930084881510382at_nat F) A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) A4) (not (@ tptp.finite_finite_o (@ tptp.collect_o (lambda ((A5 Bool)) (and (@ (@ tptp.member_o A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.product_prod_nat_nat))) (=> (not (@ tptp.finite_finite_int A4)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_8883965892284119310at_nat F) A4)) (exists ((X tptp.int)) (and (@ (@ tptp.member_int X) A4) (not (@ tptp.finite_finite_int (@ tptp.collect_int (lambda ((A5 tptp.int)) (and (@ (@ tptp.member_int A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_Pr958786334691620121nt_int) (F (-> tptp.product_prod_int_int tptp.nat))) (=> (not (@ tptp.finite2998713641127702882nt_int A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_5044651549707136836nt_nat F) A4)) (exists ((X tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int X) A4) (not (@ tptp.finite2998713641127702882nt_int (@ tptp.collec213857154873943460nt_int (lambda ((A5 tptp.product_prod_int_int)) (and (@ (@ tptp.member5262025264175285858nt_int A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) A4) (not (@ tptp.finite6177210948735845034at_nat (@ tptp.collec3392354462482085612at_nat (lambda ((A5 tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat A5) A4) (= (@ F A5) (@ F X)))))))))))) (forall ((P tptp.produc7812382424243267045t_unit)) (@ (@ tptp.member242389114213480694t_unit (@ tptp.produc1126150082675451753t_unit P)) (@ tptp.basic_1496934909540232809t_unit P))) (forall ((A tptp.heap_e7401611519738050253t_unit) (P tptp.produc7812382424243267045t_unit)) (= (@ (@ tptp.member242389114213480694t_unit A) (@ tptp.basic_1496934909540232809t_unit P)) (= A (@ tptp.produc1126150082675451753t_unit P)))) (forall ((A tptp.heap_e7401611519738050253t_unit) (P tptp.produc7812382424243267045t_unit)) (=> (@ (@ tptp.member242389114213480694t_unit A) (@ tptp.basic_1496934909540232809t_unit P)) (= A (@ tptp.produc1126150082675451753t_unit P)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ tptp.finite_card_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_card_nat A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_card_nat A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_card_nat A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ tptp.finite_card_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_card_int A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ tptp.finite_card_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_card_int A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_int_int F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4)) (@ P2 (@ (@ tptp.image_int_int F) B6)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.set_rat Bool))) (= (forall ((B6 tptp.set_rat)) (=> (and (@ tptp.finite_finite_rat B6) (@ (@ tptp.ord_less_eq_set_rat B6) (@ (@ tptp.image_nat_rat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_nat_rat F) B6)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.set_int Bool))) (= (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_nat_int F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_nat_int F) B6)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5168914502847457605at_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4)) (@ P2 (@ (@ tptp.image_5168914502847457605at_nat F) B6)))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5846123807819985514at_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_5846123807819985514at_nat F) B6)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_int_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_int)) (=> (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4)) (@ P2 (@ (@ tptp.image_int_nat F) B6)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_2486076414777270412at_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_Pr1261947904930325089at_nat)) (=> (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4)) (@ P2 (@ (@ tptp.image_2486076414777270412at_nat F) B6)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_nat Bool))) (= (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_nat_nat F) A4))) (@ P2 B6))) (forall ((B6 tptp.set_nat)) (=> (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4)) (@ P2 (@ (@ tptp.image_nat_nat F) B6)))))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (P2 (-> tptp.set_int Bool))) (= (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_int_int F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_int F) B6)))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (P2 (-> tptp.set_rat Bool))) (= (exists ((B6 tptp.set_rat)) (and (@ tptp.finite_finite_rat B6) (@ (@ tptp.ord_less_eq_set_rat B6) (@ (@ tptp.image_nat_rat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_rat F) B6)))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (P2 (-> tptp.set_int Bool))) (= (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) (@ (@ tptp.image_nat_int F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_int F) B6)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4) (@ P2 (@ (@ tptp.image_5168914502847457605at_nat F) B6)))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_Pr1261947904930325089at_nat Bool))) (= (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_5846123807819985514at_nat F) B6)))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (P2 (-> tptp.set_nat Bool))) (= (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_int_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_int)) (and (@ tptp.finite_finite_int B6) (@ (@ tptp.ord_less_eq_set_int B6) A4) (@ P2 (@ (@ tptp.image_int_nat F) B6)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (P2 (-> tptp.set_nat Bool))) (= (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_Pr1261947904930325089at_nat)) (and (@ tptp.finite6177210948735845034at_nat B6) (@ (@ tptp.ord_le3146513528884898305at_nat B6) A4) (@ P2 (@ (@ tptp.image_2486076414777270412at_nat F) B6)))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (P2 (-> tptp.set_nat Bool))) (= (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) (@ (@ tptp.image_nat_nat F) A4)) (@ P2 B6))) (exists ((B6 tptp.set_nat)) (and (@ tptp.finite_finite_nat B6) (@ (@ tptp.ord_less_eq_set_nat B6) A4) (@ P2 (@ (@ tptp.image_nat_nat F) B6)))))) (forall ((B5 tptp.set_int) (F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (exists ((C2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int C2) A4) (@ tptp.finite_finite_int C2) (= B5 (@ (@ tptp.image_int_int F) C2))))))) (forall ((B5 tptp.set_rat) (F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat B5) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_nat_rat F) C2))))))) (forall ((B5 tptp.set_int) (F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int B5) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_nat_int F) C2))))))) (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (exists ((C2 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.ord_le3146513528884898305at_nat C2) A4) (@ tptp.finite6177210948735845034at_nat C2) (= B5 (@ (@ tptp.image_5168914502847457605at_nat F) C2))))))) (forall ((B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat B5) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_5846123807819985514at_nat F) C2))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (exists ((C2 tptp.set_int)) (and (@ (@ tptp.ord_less_eq_set_int C2) A4) (@ tptp.finite_finite_int C2) (= B5 (@ (@ tptp.image_int_nat F) C2))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (exists ((C2 tptp.set_Pr1261947904930325089at_nat)) (and (@ (@ tptp.ord_le3146513528884898305at_nat C2) A4) (@ tptp.finite6177210948735845034at_nat C2) (= B5 (@ (@ tptp.image_2486076414777270412at_nat F) C2))))))) (forall ((B5 tptp.set_nat) (F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat B5) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (exists ((C2 tptp.set_nat)) (and (@ (@ tptp.ord_less_eq_set_nat C2) A4) (@ tptp.finite_finite_nat C2) (= B5 (@ (@ tptp.image_nat_nat F) C2))))))) (forall ((A4 tptp.set_int) (B5 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_finite_int B5)))) (forall ((A4 tptp.set_int) (B5 tptp.set_nat) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_finite_nat B5)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat B5)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat) (F (-> tptp.product_prod_nat_nat tptp.nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (@ tptp.finite_finite_nat B5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_rat) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_rat B5) (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_finite_rat B5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_int) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_int B5) (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_finite_int B5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat B5) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat B5)))) (forall ((A4 tptp.set_nat) (B5 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat B5) (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_finite_nat B5)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (= (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (@ tptp.finite_finite_int A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (= (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (= (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (= (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat A4)))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (= (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (= (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (@ tptp.finite_finite_int A4)))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (= (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (@ tptp.finite6177210948735845034at_nat A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_int_int F) A4)) (=> (@ (@ tptp.inj_on_int_int F) A4) (@ tptp.finite_finite_int A4)))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat F) A4)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int F) A4)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (@ tptp.finite6177210948735845034at_nat A4)))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (@ tptp.finite_finite_nat A4)))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (@ tptp.finite_finite_int A4)))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (@ tptp.finite6177210948735845034at_nat A4)))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (@ tptp.finite_finite_nat A4)))) (forall ((G (-> tptp.char tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_char_nat G) tptp.top_top_set_char)) (@ tptp.finite_finite_nat (@ (@ tptp.image_char_nat (lambda ((X4 tptp.char)) (@ F (@ G X4)))) tptp.top_top_set_char)))) (forall ((G (-> tptp.rat tptp.nat)) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_rat_nat G) tptp.top_top_set_rat)) (@ tptp.finite_finite_nat (@ (@ tptp.image_rat_nat (lambda ((X4 tptp.rat)) (@ F (@ G X4)))) tptp.top_top_set_rat)))) (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.rat))) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.int))) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.rat))) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int G) tptp.top_top_set_nat)) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int G) tptp.top_top_set_nat)) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.rat)) (F (-> tptp.rat tptp.nat))) (=> (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.int)) (F (-> tptp.int tptp.nat))) (=> (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int G) tptp.top_top_set_nat)) (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.rat))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_rat (@ (@ tptp.image_nat_rat (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) (forall ((G (-> tptp.nat tptp.nat)) (F (-> tptp.nat tptp.int))) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat G) tptp.top_top_set_nat)) (@ tptp.finite_finite_int (@ (@ tptp.image_nat_int (lambda ((X4 tptp.nat)) (@ F (@ G X4)))) tptp.top_top_set_nat)))) _let_84 _let_83 _let_82 (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int A4) (@ (@ tptp.image_int_int F) A4)) (@ (@ tptp.inj_on_int_int F) A4)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat A4) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (@ (@ tptp.inj_on8969904277767023793at_nat F) A4)))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat A4) (@ (@ tptp.image_nat_nat F) A4)) (@ (@ tptp.inj_on_nat_nat F) A4)))) (forall ((F (-> tptp.int tptp.int)) (A4 tptp.set_int) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_int_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_int_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ tptp.finite_finite_int A4))))) (forall ((F (-> tptp.nat tptp.rat)) (A4 tptp.set_nat) (B5 tptp.set_rat)) (=> (@ (@ tptp.inj_on_nat_rat F) A4) (=> (@ (@ tptp.ord_less_eq_set_rat (@ (@ tptp.image_nat_rat F) A4)) B5) (=> (@ tptp.finite_finite_rat B5) (@ tptp.finite_finite_nat A4))))) (forall ((F (-> tptp.nat tptp.int)) (A4 tptp.set_nat) (B5 tptp.set_int)) (=> (@ (@ tptp.inj_on_nat_int F) A4) (=> (@ (@ tptp.ord_less_eq_set_int (@ (@ tptp.image_nat_int F) A4)) B5) (=> (@ tptp.finite_finite_int B5) (@ tptp.finite_finite_nat A4))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) B5) (=> (@ tptp.finite6177210948735845034at_nat B5) (@ tptp.finite6177210948735845034at_nat A4))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat) (B5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.inj_on5538052773655684606at_nat F) A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) B5) (=> (@ tptp.finite6177210948735845034at_nat B5) (@ tptp.finite_finite_nat A4))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_int_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_int_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ tptp.finite_finite_int A4))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on2178005380612969504at_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ tptp.finite6177210948735845034at_nat A4))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat) (B5 tptp.set_nat)) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (=> (@ (@ tptp.ord_less_eq_set_nat (@ (@ tptp.image_nat_nat F) A4)) B5) (=> (@ tptp.finite_finite_nat B5) (@ tptp.finite_finite_nat A4))))) (forall ((A4 tptp.set_int) (F (-> tptp.int tptp.int))) (let ((_let_1 (@ (@ tptp.image_int_int F) A4))) (=> (@ tptp.finite_finite_int A4) (=> (@ (@ tptp.ord_less_eq_set_int _let_1) A4) (=> (@ (@ tptp.inj_on_int_int F) A4) (= _let_1 A4)))))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat) (F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (let ((_let_1 (@ (@ tptp.image_5168914502847457605at_nat F) A4))) (=> (@ tptp.finite6177210948735845034at_nat A4) (=> (@ (@ tptp.ord_le3146513528884898305at_nat _let_1) A4) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) A4) (= _let_1 A4)))))) (forall ((A4 tptp.set_nat) (F (-> tptp.nat tptp.nat))) (let ((_let_1 (@ (@ tptp.image_nat_nat F) A4))) (=> (@ tptp.finite_finite_nat A4) (=> (@ (@ tptp.ord_less_eq_set_nat _let_1) A4) (=> (@ (@ tptp.inj_on_nat_nat F) A4) (= _let_1 A4)))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat tptp.top_to4669805908274784177at_nat) (=> (= (@ (@ tptp.image_5168914502847457605at_nat F) tptp.top_to4669805908274784177at_nat) tptp.top_to4669805908274784177at_nat) (@ (@ tptp.inj_on8969904277767023793at_nat F) tptp.top_to4669805908274784177at_nat)))) (forall ((F (-> tptp.char tptp.char))) (=> (@ tptp.finite_finite_char tptp.top_top_set_char) (=> (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char) (@ (@ tptp.inj_on_char_char F) tptp.top_top_set_char)))) (forall ((F (-> tptp.list_nat tptp.list_nat))) (=> (@ tptp.finite8100373058378681591st_nat tptp.top_top_set_list_nat) (=> (= (@ (@ tptp.image_7976474329151083847st_nat F) tptp.top_top_set_list_nat) tptp.top_top_set_list_nat) (@ (@ tptp.inj_on3049792774292151987st_nat F) tptp.top_top_set_list_nat)))) (forall ((F (-> tptp.rat tptp.rat))) (=> (@ tptp.finite_finite_rat tptp.top_top_set_rat) (=> (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat) (@ (@ tptp.inj_on_rat_rat F) tptp.top_top_set_rat)))) (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat tptp.top_top_set_nat) (=> (= (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat) tptp.top_top_set_nat) (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat)))) (forall ((F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int tptp.top_top_set_int) (=> (= (@ (@ tptp.image_int_int F) tptp.top_top_set_int) tptp.top_top_set_int) (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int)))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) (=> (@ tptp.finite6177210948735845034at_nat tptp.top_to4669805908274784177at_nat) (=> (@ (@ tptp.inj_on8969904277767023793at_nat F) tptp.top_to4669805908274784177at_nat) (= (@ (@ tptp.image_5168914502847457605at_nat F) tptp.top_to4669805908274784177at_nat) tptp.top_to4669805908274784177at_nat)))) (forall ((F (-> tptp.char tptp.char))) (=> (@ tptp.finite_finite_char tptp.top_top_set_char) (=> (@ (@ tptp.inj_on_char_char F) tptp.top_top_set_char) (= (@ (@ tptp.image_char_char F) tptp.top_top_set_char) tptp.top_top_set_char)))) (forall ((F (-> tptp.list_nat tptp.list_nat))) (=> (@ tptp.finite8100373058378681591st_nat tptp.top_top_set_list_nat) (=> (@ (@ tptp.inj_on3049792774292151987st_nat F) tptp.top_top_set_list_nat) (= (@ (@ tptp.image_7976474329151083847st_nat F) tptp.top_top_set_list_nat) tptp.top_top_set_list_nat)))) (forall ((F (-> tptp.rat tptp.rat))) (=> (@ tptp.finite_finite_rat tptp.top_top_set_rat) (=> (@ (@ tptp.inj_on_rat_rat F) tptp.top_top_set_rat) (= (@ (@ tptp.image_rat_rat F) tptp.top_top_set_rat) tptp.top_top_set_rat)))) (forall ((F (-> tptp.nat tptp.nat))) (=> (@ tptp.finite_finite_nat tptp.top_top_set_nat) (=> (@ (@ tptp.inj_on_nat_nat F) tptp.top_top_set_nat) (= (@ (@ tptp.image_nat_nat F) tptp.top_top_set_nat) tptp.top_top_set_nat)))) (forall ((F (-> tptp.int tptp.int))) (=> (@ tptp.finite_finite_int tptp.top_top_set_int) (=> (@ (@ tptp.inj_on_int_int F) tptp.top_top_set_int) (= (@ (@ tptp.image_int_int F) tptp.top_top_set_int) tptp.top_top_set_int)))) (forall ((H (-> tptp.char tptp.char)) (F4 tptp.set_char)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_char H) F4)) (=> (= (@ (@ tptp.image_char_char H) tptp.top_top_set_char) tptp.top_top_set_char) (@ tptp.finite_finite_char F4)))) (forall ((H (-> tptp.char tptp.rat)) (F4 tptp.set_rat)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_rat H) F4)) (=> (= (@ (@ tptp.image_char_rat H) tptp.top_top_set_char) tptp.top_top_set_rat) (@ tptp.finite_finite_rat F4)))) (forall ((H (-> tptp.char tptp.nat)) (F4 tptp.set_nat)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_nat H) F4)) (=> (= (@ (@ tptp.image_char_nat H) tptp.top_top_set_char) tptp.top_top_set_nat) (@ tptp.finite_finite_nat F4)))) (forall ((H (-> tptp.char tptp.int)) (F4 tptp.set_int)) (=> (@ tptp.finite_finite_char (@ (@ tptp.vimage_char_int H) F4)) (=> (= (@ (@ tptp.image_char_int H) tptp.top_top_set_char) tptp.top_top_set_int) (@ tptp.finite_finite_int F4)))) (forall ((H (-> tptp.rat tptp.char)) (F4 tptp.set_char)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_char H) F4)) (=> (= (@ (@ tptp.image_rat_char H) tptp.top_top_set_rat) tptp.top_top_set_char) (@ tptp.finite_finite_char F4)))) (forall ((H (-> tptp.rat tptp.rat)) (F4 tptp.set_rat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_rat H) F4)) (=> (= (@ (@ tptp.image_rat_rat H) tptp.top_top_set_rat) tptp.top_top_set_rat) (@ tptp.finite_finite_rat F4)))) (forall ((H (-> tptp.rat tptp.nat)) (F4 tptp.set_nat)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_nat H) F4)) (=> (= (@ (@ tptp.image_rat_nat H) tptp.top_top_set_rat) tptp.top_top_set_nat) (@ tptp.finite_finite_nat F4)))) (forall ((H (-> tptp.rat tptp.int)) (F4 tptp.set_int)) (=> (@ tptp.finite_finite_rat (@ (@ tptp.vimage_rat_int H) F4)) (=> (= (@ (@ tptp.image_rat_int H) tptp.top_top_set_rat) tptp.top_top_set_int) (@ tptp.finite_finite_int F4)))) (forall ((H (-> tptp.nat tptp.char)) (F4 tptp.set_char)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_char H) F4)) (=> (= (@ (@ tptp.image_nat_char H) tptp.top_top_set_nat) tptp.top_top_set_char) (@ tptp.finite_finite_char F4)))) (forall ((H (-> tptp.nat tptp.rat)) (F4 tptp.set_rat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_rat H) F4)) (=> (= (@ (@ tptp.image_nat_rat H) tptp.top_top_set_nat) tptp.top_top_set_rat) (@ tptp.finite_finite_rat F4)))) _let_81 (forall ((F (-> tptp.nat tptp.product_unit)) (A4 tptp.set_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_8730104196221521654t_unit F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage4884490618288580032t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))))))))) (forall ((F (-> tptp.nat Bool)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_nat_o F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_nat_o F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))))))))) (forall ((F (-> tptp.int tptp.nat)) (A4 tptp.set_int)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_int_nat F) A4)) (=> (not (@ tptp.finite_finite_int A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_int_nat F) A4)) (not (@ tptp.finite_finite_int (@ (@ tptp.vimage_int_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))) (forall ((F (-> tptp.nat tptp.nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_nat_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_nat_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage_nat_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_unit)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite4290736615968046902t_unit (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.product_unit)) (and (@ (@ tptp.member_Product_unit X) (@ (@ tptp.image_6169909464789311569t_unit F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage3104651464403166471t_unit F) (@ (@ tptp.insert_Product_unit X) tptp.bot_bo3957492148770167129t_unit))))))))) (forall ((F (-> tptp.nat tptp.product_prod_nat_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) (@ (@ tptp.image_5846123807819985514at_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage8013328719654469172at_nat F) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))))))))) (forall ((F (-> tptp.product_prod_nat_nat Bool)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_o (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X Bool)) (and (@ (@ tptp.member_o X) (@ (@ tptp.image_3693632289388996572_nat_o F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage2444243245536687506_nat_o F) (@ (@ tptp.insert_o X) tptp.bot_bot_set_o))))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite_finite_nat (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.nat)) (and (@ (@ tptp.member_nat X) (@ (@ tptp.image_2486076414777270412at_nat F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage4653281326611754070at_nat F) (@ (@ tptp.insert_nat X) tptp.bot_bot_set_nat))))))))) (forall ((F (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) (A4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (=> (not (@ tptp.finite6177210948735845034at_nat A4)) (exists ((X tptp.product_prod_nat_nat)) (and (@ (@ tptp.member8440522571783428010at_nat X) (@ (@ tptp.image_5168914502847457605at_nat F) A4)) (not (@ tptp.finite6177210948735845034at_nat (@ (@ tptp.vimage2449269961533847803at_nat F) (@ (@ tptp.insert8211810215607154385at_nat X) tptp.bot_bo2099793752762293965at_nat))))))))) (forall ((F (-> tptp.nat tptp.produc3843707927480180839at_nat)) (A4 tptp.set_nat)) (=> (@ tptp.finite4343798906461161616at_nat (@ (@ tptp.image_2499013659892586576at_nat F) A4)) (=> (not (@ tptp.finite_finite_nat A4)) (exists ((X tptp.produc3843707927480180839at_nat)) (and (@ (@ tptp.member8757157785044589968at_nat X) (@ (@ tptp.image_2499013659892586576at_nat F) A4)) (not (@ tptp.finite_finite_nat (@ (@ tptp.vimage6435164912253009178at_nat F) (@ (@ tptp.insert9069300056098147895at_nat X) tptp.bot_bo228742789529271731at_nat))))))))) (forall ((N3 tptp.nat) (P2 (-> tptp.nat Bool)) (M3 tptp.nat)) (=> (forall ((K2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat N3) K2) (@ P2 K2))) (=> (forall ((K2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat K2) N3) (=> (forall ((I5 tptp.nat)) (=> (@ (@ tptp.ord_less_nat K2) I5) (@ P2 I5))) (@ P2 K2)))) (@ P2 M3)))) (forall ((N3 tptp.nat)) (= (@ tptp.field_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5)))))) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3))))) (forall ((N3 tptp.nat)) (@ (@ tptp.order_2888998067076097458on_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) (forall ((N3 tptp.nat)) (@ (@ tptp.order_2888998067076097458on_nat (@ tptp.field_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) (forall ((N3 tptp.nat)) (@ tptp.bNF_We3818239936649020644el_nat (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) (@ tptp.wf_nat _let_79) _let_80 (= _let_78 _let_78) _let_77 (forall ((A4 tptp.set_nat)) (not (@ (@ tptp.member_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) A4)))) (forall ((N3 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (@ (@ tptp.produc457027306803732586at_nat (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N3)) (lambda ((Uu tptp.nat)) (@ (@ tptp.order_underS_nat tptp.bNF_Ca8665028551170535155natLeq) N3)))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) (forall ((N3 tptp.nat)) (= (@ (@ tptp.inf_in2572325071724192079at_nat tptp.bNF_Ca8665028551170535155natLeq) (@ (@ tptp.produc457027306803732586at_nat (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3)))) (lambda ((Uu tptp.nat)) (@ tptp.collect_nat (lambda ((X4 tptp.nat)) (@ (@ tptp.ord_less_nat X4) N3)))))) (@ tptp.collec3392354462482085612at_nat (@ tptp.produc6081775807080527818_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (and (@ (@ tptp.ord_less_nat X4) N3) (@ (@ tptp.ord_less_nat Y5) N3) (@ (@ tptp.ord_less_eq_nat X4) Y5))))))) _let_76 (exists ((F5 (-> tptp.nat tptp.rat))) (= (@ (@ tptp.image_nat_rat F5) tptp.top_top_set_nat) tptp.top_top_set_rat)) (= (@ tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) tptp.top_top_set_nat)) (forall ((I tptp.nat) (J4 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or4665077453230672383an_nat I) J4)) (@ (@ tptp.set_or4665077453230672383an_nat (@ tptp.suc I)) (@ tptp.suc J4)))) _let_75 (forall ((N3 tptp.nat)) (let ((_let_1 (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat))) (= (@ _let_1 (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ _let_1 N3)))))) (forall ((C tptp.nat) (Y3 tptp.nat) (X2 tptp.nat)) (let ((_let_1 (@ (@ tptp.set_or4665077453230672383an_nat X2) Y3))) (let ((_let_2 (@ (@ tptp.ord_less_nat X2) Y3))) (let ((_let_3 (@ (@ tptp.ord_less_nat C) Y3))) (and (=> _let_3 (= (@ (@ tptp.image_nat_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_nat I2) C))) _let_1) (@ (@ tptp.set_or4665077453230672383an_nat (@ (@ tptp.minus_minus_nat X2) C)) (@ (@ tptp.minus_minus_nat Y3) C)))) (=> (not _let_3) (and (=> _let_2 (= (@ (@ tptp.image_nat_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_nat I2) C))) _let_1) (@ (@ tptp.insert_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat))) (=> (not _let_2) (= (@ (@ tptp.image_nat_nat (lambda ((I2 tptp.nat)) (@ (@ tptp.minus_minus_nat I2) C))) _let_1) tptp.bot_bot_set_nat))))))))) _let_73 (forall ((N3 tptp.nat)) (=> (@ (@ tptp.ord_less_nat tptp.zero_zero_nat) N3) (= (@ (@ tptp.image_nat_nat (lambda ((M5 tptp.nat)) (@ (@ tptp.modulo_modulo_nat M5) N3))) tptp.top_top_set_nat) (@ (@ tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N3)))) (= tptp.divmod_nat (lambda ((M5 tptp.nat) (N4 tptp.nat)) (@ (@ (@ tptp.if_Pro6206227464963214023at_nat (or (= N4 tptp.zero_zero_nat) (@ (@ tptp.ord_less_nat M5) N4))) (@ (@ tptp.product_Pair_nat_nat tptp.zero_zero_nat) M5)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((Q3 tptp.nat) (__flatten_var_0 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ tptp.suc Q3)) __flatten_var_0))) (@ (@ tptp.divmod_nat (@ (@ tptp.minus_minus_nat M5) N4)) N4))))) _let_72 (forall ((I tptp.nat) (J4 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ (@ tptp.set_or1269000886237332187st_nat I) J4)) (@ (@ tptp.set_or1269000886237332187st_nat (@ tptp.suc I)) (@ tptp.suc J4)))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat tptp.set_ord_atMost_nat) tptp.top_top_set_nat)) tptp.top_top_set_nat) (forall ((N3 tptp.nat)) (= (@ tptp.set_ord_atMost_nat (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_atMost_nat N3))))) (forall ((N3 tptp.nat)) (let ((_let_1 (@ tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat))) (= (@ _let_1 (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ _let_1 N3)))))) (forall ((N3 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_lessThan_nat N3)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N3))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat tptp.set_ord_lessThan_nat) tptp.top_top_set_nat)) tptp.top_top_set_nat) (forall ((N3 tptp.nat)) (= (@ tptp.set_ord_lessThan_nat (@ tptp.suc N3)) (@ (@ tptp.insert_nat tptp.zero_zero_nat) (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_lessThan_nat N3))))) (forall ((N3 tptp.nat)) (= (@ (@ tptp.image_nat_nat tptp.suc) (@ tptp.set_ord_atMost_nat N3)) (@ (@ tptp.set_or1269000886237332187st_nat tptp.one_one_nat) (@ tptp.suc N3)))) (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or1269000886237332187st_nat A) B)) (@ (@ tptp.set_or1266510415728281911st_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))) (forall ((A tptp.nat) (B tptp.nat)) (= (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) (@ (@ tptp.set_or4665077453230672383an_nat A) B)) (@ (@ tptp.set_or4662586982721622107an_int (@ tptp.semiri1314217659103216013at_int A)) (@ tptp.semiri1314217659103216013at_int B)))) (forall ((L tptp.int) (U tptp.int)) (= (@ (@ tptp.image_int_int (lambda ((X4 tptp.int)) (@ (@ tptp.plus_plus_int X4) L))) (@ (@ tptp.set_or4662586982721622107an_int tptp.zero_zero_int) (@ (@ tptp.minus_minus_int U) L))) (@ (@ tptp.set_or4662586982721622107an_int L) U))) (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_nat S2) T2) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_less)))) (forall ((X2 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (let ((_let_1 (@ tptp.product_Pair_nat_nat X2))) (= (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ _let_1 Y3)) (@ _let_1 Z2))) tptp.fun_pair_less) (@ (@ tptp.ord_less_nat Y3) Z2)))) (forall ((A4 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.total_3592101749530773125at_nat A4) tptp.fun_pair_less)) _let_70 (@ tptp.wf_Pro7803398752247294826at_nat tptp.fun_pair_less) (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_less))) (forall ((M tptp.set_nat) (N tptp.set_nat)) (= (@ (@ (@ tptp.bij_betw_nat_nat tptp.suc) M) N) (= (@ (@ tptp.image_nat_nat tptp.suc) M) N))) (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_eq_nat A) B) (=> (@ (@ tptp.ord_less_eq_nat S2) T2) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_leq)))) (forall ((A tptp.nat) (B tptp.nat) (S2 tptp.nat) (T2 tptp.nat)) (=> (@ (@ tptp.ord_less_nat A) B) (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat (@ (@ tptp.product_Pair_nat_nat A) S2)) (@ (@ tptp.product_Pair_nat_nat B) T2))) tptp.fun_pair_leq))) _let_69 (forall ((Y3 tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) YS) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_leq) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat XS) YS)) tptp.fun_max_weak) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) XS)) YS)) tptp.fun_max_weak))))) (forall ((X2 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat XS))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) XS) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_leq) (=> (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 YS)) tptp.fun_min_weak) (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat Y3) YS))) tptp.fun_min_weak)))))) (forall ((Y3 tptp.product_prod_nat_nat) (Y4 tptp.set_Pr1261947904930325089at_nat) (X2 tptp.product_prod_nat_nat) (X5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ (@ tptp.member8440522571783428010at_nat Y3) Y4) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_less) (=> (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X5) Y4)) tptp.fun_max_strict) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat (@ (@ tptp.insert8211810215607154385at_nat X2) X5)) Y4)) tptp.fun_max_strict))))) (forall ((X2 tptp.product_prod_nat_nat) (XS tptp.set_Pr1261947904930325089at_nat) (Y3 tptp.product_prod_nat_nat) (YS tptp.set_Pr1261947904930325089at_nat)) (let ((_let_1 (@ tptp.produc2922128104949294807at_nat XS))) (=> (@ (@ tptp.member8440522571783428010at_nat X2) XS) (=> (@ (@ tptp.member8206827879206165904at_nat (@ (@ tptp.produc6161850002892822231at_nat X2) Y3)) tptp.fun_pair_less) (=> (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 YS)) tptp.fun_min_strict) (@ (@ tptp.member8757157785044589968at_nat (@ _let_1 (@ (@ tptp.insert8211810215607154385at_nat Y3) YS))) tptp.fun_min_strict)))))) (@ tptp.fun_re2478310338295953701at_nat (@ (@ tptp.produc9060074326276436823at_nat tptp.fun_max_strict) tptp.fun_max_weak)) (@ tptp.fun_re2478310338295953701at_nat (@ (@ tptp.produc9060074326276436823at_nat tptp.fun_min_strict) tptp.fun_min_weak)) (forall ((X5 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat X5) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) X5)) tptp.fun_max_weak))) (forall ((Y4 tptp.set_Pr1261947904930325089at_nat)) (=> (@ tptp.finite6177210948735845034at_nat Y4) (=> (not (= Y4 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat tptp.bot_bo2099793752762293965at_nat) Y4)) tptp.fun_max_strict)))) (forall ((X5 tptp.set_Pr1261947904930325089at_nat)) (=> (not (= X5 tptp.bot_bo2099793752762293965at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X5) tptp.bot_bo2099793752762293965at_nat)) tptp.fun_min_strict))) (forall ((X5 tptp.set_Pr1261947904930325089at_nat)) (@ (@ tptp.member8757157785044589968at_nat (@ (@ tptp.produc2922128104949294807at_nat X5) tptp.bot_bo2099793752762293965at_nat)) tptp.fun_min_weak)) _let_68 _let_67 _let_66 _let_65 (forall ((U tptp.int)) (=> (@ (@ tptp.ord_less_eq_int tptp.zero_zero_int) U) (= (@ (@ tptp.set_or4662586982721622107an_int tptp.zero_zero_int) U) (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) (@ tptp.set_ord_lessThan_nat (@ tptp.nat2 U)))))) (= (@ tptp.comple7399068483239264473et_nat (@ (@ tptp.image_nat_set_nat tptp.set_ord_atLeast_nat) tptp.top_top_set_nat)) tptp.top_top_set_nat) (@ tptp.trans_4347625901269045472at_nat tptp.fun_pair_less) _let_63 _let_62 _let_61 (@ (@ (@ _let_58 (@ _let_57 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) tptp.ord_less_eq_int) (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_less_eq_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))) Xa2) X2))) _let_60 _let_59 (@ (@ (@ _let_58 (@ _let_57 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) tptp.ord_less_int) (@ (@ _let_56 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0)))) tptp.minus_minus_int) (@ (@ _let_56 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0)))) tptp.plus_plus_int) (forall ((X2 tptp.product_prod_nat_nat)) (= (@ tptp.nat2 (@ tptp.abs_Integ X2)) (@ (@ tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) X2))) (@ (@ (@ (@ tptp.bNF_re4555766996558763186at_nat tptp.pcr_int) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) _let_51) tptp.nat2) (forall ((X2 tptp.product_prod_nat_nat)) (= (@ tptp.uminus_uminus_int (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4))) X2)))) (@ (@ _let_55 (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) tptp.uminus_uminus_int) (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.times_times_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0))) Xa2) X2)))) (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.plus_plus_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0))) Xa2) X2)))) (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.minus_minus_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ tptp.abs_Integ (@ (@ (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0))) Xa2) X2)))) (@ (@ _let_56 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0)))) tptp.times_times_int) (forall ((Xa2 tptp.product_prod_nat_nat) (X2 tptp.product_prod_nat_nat)) (= (@ (@ tptp.ord_less_int (@ tptp.abs_Integ Xa2)) (@ tptp.abs_Integ X2)) (@ (@ (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))) Xa2) X2))) _let_54 (@ (@ _let_53 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0)))) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (let ((_let_1 (@ tptp.times_times_nat Y5))) (let ((_let_2 (@ tptp.times_times_nat X4))) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat (@ _let_2 U3)) (@ _let_1 V3))) (@ (@ tptp.plus_plus_nat (@ _let_2 V3)) (@ _let_1 U3))))))) __flatten_var_0)))) (= tptp.nat2 (@ (@ (@ tptp.map_fu2345160673673942751at_nat tptp.rep_Integ) tptp.id_nat) _let_51)) (@ (@ _let_53 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0)))) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat Y5) U3)))) __flatten_var_0)))) (@ (@ _let_53 (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0)))) (@ tptp.produc27273713700761075at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc2626176000494625587at_nat (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat (@ (@ tptp.plus_plus_nat X4) U3)) (@ (@ tptp.plus_plus_nat Y5) V3)))) __flatten_var_0)))) (@ (@ (@ _let_49 (@ _let_48 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) (@ (@ _let_52 (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) (@ tptp.produc2626176000494625587at_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.product_Pair_nat_nat Y5) X4)))) (@ (@ (@ (@ tptp.bNF_re8246922863344978751at_nat tptp.intrel) (lambda ((Y2 tptp.nat) (Z tptp.nat)) (= Y2 Z))) _let_51) _let_51) _let_50 (@ (@ (@ _let_49 (@ _let_48 (lambda ((Y2 Bool) (Z Bool)) (= Y2 Z)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0)))) _let_47 _let_46 _let_45 _let_42 _let_41 (forall ((P tptp.rat)) (= (@ tptp.quotient_of (@ tptp.uminus_uminus_rat P)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (__flatten_var_0 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ tptp.uminus_uminus_int A5)) __flatten_var_0))) (@ tptp.quotient_of P)))) (= tptp.ord_less_int (@ _let_40 (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))))) (= tptp.ord_less_eq_int (@ _let_40 (@ tptp.produc8739625826339149834_nat_o (lambda ((X4 tptp.nat) (Y5 tptp.nat) (__flatten_var_0 tptp.product_prod_nat_nat)) (@ (@ tptp.produc6081775807080527818_nat_o (lambda ((U3 tptp.nat) (V3 tptp.nat)) (@ (@ tptp.ord_less_eq_nat (@ (@ tptp.plus_plus_nat X4) V3)) (@ (@ tptp.plus_plus_nat U3) Y5)))) __flatten_var_0))))) (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.minus_minus_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.minus_minus_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int B4) C4))) (@ (@ tptp.times_times_int C4) D3))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))) (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.plus_plus_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.plus_plus_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int B4) C4))) (@ (@ tptp.times_times_int C4) D3))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))) (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.divide_divide_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int A5) D3)) (@ (@ tptp.times_times_int C4) B4))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))) (forall ((P tptp.rat) (Q tptp.rat)) (= (@ tptp.quotient_of (@ (@ tptp.times_times_rat P) Q)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (C4 tptp.int)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((B4 tptp.int) (D3 tptp.int)) (@ tptp.normalize (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int A5) B4)) (@ (@ tptp.times_times_int C4) D3))))) (@ tptp.quotient_of Q)))) (@ tptp.quotient_of P)))) _let_39 _let_38 _let_37 _let_36 _let_35 (forall ((Y3 tptp.product_unit)) (= Y3 tptp.product_Unity)) _let_34 _let_33 _let_32 _let_31 _let_30 (forall ((M tptp.set_nat)) (=> (@ tptp.finite_finite_nat M) (=> (not (= M tptp.bot_bot_set_nat)) (=> (not (@ (@ tptp.member_nat tptp.zero_zero_nat) M)) (= (@ tptp.gcd_Gcd_nat M) (@ tptp.lattic8265883725875713057ax_nat (@ tptp.comple7806235888213564991et_nat (@ (@ tptp.image_nat_set_nat (lambda ((M5 tptp.nat)) (@ tptp.collect_nat (lambda ((D3 tptp.nat)) (@ (@ tptp.dvd_dvd_nat D3) M5))))) M)))))))) (forall ((N tptp.set_nat)) (= (@ tptp.gcd_Gcd_int (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) N)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Gcd_nat N)))) _let_29 (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Gcd_nat (@ (@ tptp.image_int_nat (lambda ((K5 tptp.int)) (@ tptp.nat2 (@ tptp.abs_abs_int K5)))) K4)) (@ tptp.nat2 (@ tptp.gcd_Gcd_int K4)))) _let_28 (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Gcd_int (@ (@ tptp.image_int_int tptp.abs_abs_int) K4)) (@ tptp.gcd_Gcd_int K4))) (forall ((N3 tptp.nat)) (@ (@ tptp.member_int (@ tptp.semiri1314217659103216013at_int N3)) (@ (@ tptp.image_int_int tptp.abs_abs_int) tptp.top_top_set_int))) (@ tptp.fun_is_measure_int _let_24) (forall ((P tptp.rat)) (= (@ tptp.quotient_of (@ tptp.abs_abs_rat P)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (__flatten_var_0 tptp.int)) (@ (@ tptp.product_Pair_int_int (@ tptp.abs_abs_int A5)) __flatten_var_0))) (@ tptp.quotient_of P)))) _let_27 (= (@ (@ tptp.image_nat_int tptp.nat_int_decode) tptp.top_top_set_nat) tptp.top_top_set_int) (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Lcm_int (@ (@ tptp.image_int_int tptp.abs_abs_int) K4)) (@ tptp.gcd_Lcm_int K4))) _let_26 (forall ((N tptp.set_nat)) (= (@ tptp.gcd_Lcm_int (@ (@ tptp.image_nat_int tptp.semiri1314217659103216013at_int) N)) (@ tptp.semiri1314217659103216013at_int (@ tptp.gcd_Lcm_nat N)))) (forall ((K4 tptp.set_int)) (= (@ tptp.gcd_Lcm_nat (@ (@ tptp.image_int_nat (lambda ((K5 tptp.int)) (@ tptp.nat2 (@ tptp.abs_abs_int K5)))) K4)) (@ tptp.nat2 (@ tptp.gcd_Lcm_int K4)))) (forall ((P tptp.rat)) (= (@ tptp.quotient_of (@ tptp.inverse_inverse_rat P)) (@ (@ tptp.produc4245557441103728435nt_int (lambda ((A5 tptp.int) (B4 tptp.int)) (@ (@ (@ tptp.if_Pro3027730157355071871nt_int (= A5 tptp.zero_zero_int)) (@ (@ tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (@ (@ tptp.product_Pair_int_int (@ (@ tptp.times_times_int (@ tptp.sgn_sgn_int A5)) B4)) (@ tptp.abs_abs_int A5))))) (@ tptp.quotient_of P)))) _let_25 _let_23 _let_22 (forall ((X2 tptp.product_unit)) (not (forall ((Y Bool)) (=> (= X2 (@ tptp.product_Abs_unit Y)) (not (@ (@ tptp.member_o Y) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o))))))) (forall ((P2 (-> tptp.product_unit Bool)) (X2 tptp.product_unit)) (=> (forall ((Y Bool)) (=> (@ (@ tptp.member_o Y) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (@ P2 (@ tptp.product_Abs_unit Y)))) (@ P2 X2))) (forall ((X2 Bool) (Y3 Bool)) (let ((_let_1 (@ (@ tptp.insert_o true) tptp.bot_bot_set_o))) (=> (@ (@ tptp.member_o X2) _let_1) (=> (@ (@ tptp.member_o Y3) _let_1) (= (= (@ tptp.product_Abs_unit X2) (@ tptp.product_Abs_unit Y3)) (= X2 Y3)))))) (= (@ (@ tptp.image_2486076414777270412at_nat tptp.nat_prod_encode) tptp.top_to4669805908274784177at_nat) tptp.top_top_set_nat) (@ (@ (@ tptp.type_d6188575255521822967unit_o tptp.product_Rep_unit) tptp.product_Abs_unit) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (forall ((X2 tptp.product_unit) (Y3 tptp.product_unit)) (= (= (@ tptp.product_Rep_unit X2) (@ tptp.product_Rep_unit Y3)) (= X2 Y3))) (forall ((Y3 Bool) (P2 (-> Bool Bool))) (=> (@ (@ tptp.member_o Y3) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (=> (forall ((X tptp.product_unit)) (@ P2 (@ tptp.product_Rep_unit X))) (@ P2 Y3)))) (forall ((Y3 Bool)) (=> (@ (@ tptp.member_o Y3) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (not (forall ((X tptp.product_unit)) (= Y3 (not (@ tptp.product_Rep_unit X))))))) (forall ((X2 tptp.product_unit)) (@ (@ tptp.member_o (@ tptp.product_Rep_unit X2)) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o))) (forall ((X2 tptp.product_unit)) (= (@ tptp.product_Abs_unit (@ tptp.product_Rep_unit X2)) X2)) (forall ((Y3 Bool)) (=> (@ (@ tptp.member_o Y3) (@ (@ tptp.insert_o true) tptp.bot_bot_set_o)) (= (@ tptp.product_Rep_unit (@ tptp.product_Abs_unit Y3)) Y3))) (= (@ (@ tptp.image_5846123807819985514at_nat tptp.nat_prod_decode) tptp.top_top_set_nat) tptp.top_to4669805908274784177at_nat) _let_21 (forall ((X2 tptp.nat) (Y3 tptp.list_nat)) (=> (= (@ tptp.nat_list_decode X2) Y3) (=> (=> (= X2 tptp.zero_zero_nat) (not (= Y3 tptp.nil_nat))) (not (forall ((N2 tptp.nat)) (=> (= X2 (@ tptp.suc N2)) (not (= Y3 (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N2)))))))))) _let_20 (forall ((N3 tptp.nat)) (= (@ tptp.nat_list_decode (@ tptp.suc N3)) (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N3)))) (forall ((X2 tptp.nat) (Y3 tptp.list_nat)) (let ((_let_1 (@ tptp.accp_nat tptp.nat_list_decode_rel))) (=> (= (@ tptp.nat_list_decode X2) Y3) (=> (@ _let_1 X2) (=> (=> (= X2 tptp.zero_zero_nat) (=> (= Y3 tptp.nil_nat) (not (@ _let_1 tptp.zero_zero_nat)))) (not (forall ((N2 tptp.nat)) (let ((_let_1 (@ tptp.suc N2))) (=> (= X2 _let_1) (=> (= Y3 (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N2))) (not (@ (@ tptp.accp_nat tptp.nat_list_decode_rel) _let_1)))))))))))) _let_19 (forall ((N3 tptp.nat)) (let ((_let_1 (@ tptp.suc N3))) (=> (@ (@ tptp.accp_nat tptp.nat_list_decode_rel) _let_1) (= (@ tptp.nat_list_decode _let_1) (@ (@ tptp.produc2761476792215241774st_nat (lambda ((X4 tptp.nat) (Y5 tptp.nat)) (@ (@ tptp.cons_nat X4) (@ tptp.nat_list_decode Y5)))) (@ tptp.nat_prod_decode N3)))))) (= (@ (@ tptp.image_1320371278474632150at_nat tptp.nat_sum_encode) tptp.top_to6661820994512907621at_nat) tptp.top_top_set_nat) (= (@ (@ tptp.image_list_nat_nat tptp.nat_list_encode) tptp.top_top_set_list_nat) tptp.top_top_set_nat) _let_17 _let_15 _let_14 _let_13 (= tptp.code_nat_of_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_nat (@ (@ tptp.ord_le3102999989581377725nteger K5) tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_nat) (@ (@ tptp.produc1555791787009142072er_nat (lambda ((L3 tptp.code_integer) (J tptp.code_integer)) (let ((_let_1 (@ tptp.code_nat_of_integer L3))) (let ((_let_2 (@ (@ tptp.plus_plus_nat _let_1) _let_1))) (@ (@ (@ tptp.if_nat (= J tptp.zero_z3403309356797280102nteger)) _let_2) (@ (@ tptp.plus_plus_nat _let_2) tptp.one_one_nat)))))) (@ (@ tptp.code_divmod_integer K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))) (= tptp.code_num_of_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_num (@ (@ tptp.ord_le3102999989581377725nteger K5) tptp.one_one_Code_integer)) tptp.one) (@ (@ tptp.produc7336495610019696514er_num (lambda ((L3 tptp.code_integer) (J tptp.code_integer)) (let ((_let_1 (@ tptp.code_num_of_integer L3))) (let ((_let_2 (@ (@ tptp.plus_plus_num _let_1) _let_1))) (@ (@ (@ tptp.if_num (= J tptp.zero_z3403309356797280102nteger)) _let_2) (@ (@ tptp.plus_plus_num _let_2) tptp.one)))))) (@ (@ tptp.code_divmod_integer K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one))))))) _let_12 (= tptp.code_int_of_integer (lambda ((K5 tptp.code_integer)) (@ (@ (@ tptp.if_int (@ (@ tptp.ord_le6747313008572928689nteger K5) tptp.zero_z3403309356797280102nteger)) (@ tptp.uminus_uminus_int (@ tptp.code_int_of_integer (@ tptp.uminus1351360451143612070nteger K5)))) (@ (@ (@ tptp.if_int (= K5 tptp.zero_z3403309356797280102nteger)) tptp.zero_zero_int) (@ (@ tptp.produc1553301316500091796er_int (lambda ((L3 tptp.code_integer) (J tptp.code_integer)) (let ((_let_1 (@ (@ tptp.times_times_int (@ tptp.numeral_numeral_int (@ tptp.bit0 tptp.one))) (@ tptp.code_int_of_integer L3)))) (@ (@ (@ tptp.if_int (= J tptp.zero_z3403309356797280102nteger)) _let_1) (@ (@ tptp.plus_plus_int _let_1) tptp.one_one_int))))) (@ (@ tptp.code_divmod_integer K5) (@ tptp.numera6620942414471956472nteger (@ tptp.bit0 tptp.one)))))))) _let_11 _let_10 (= tptp.code_divmod_integer (lambda ((K5 tptp.code_integer) (L3 tptp.code_integer)) (let ((_let_1 (@ (@ tptp.code_divmod_abs K5) L3))) (let ((_let_2 (@ tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= K5 tptp.zero_z3403309356797280102nteger)) (@ _let_2 tptp.zero_z3403309356797280102nteger)) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= L3 tptp.zero_z3403309356797280102nteger)) (@ _let_2 K5)) (@ (@ (@ (@ tptp.comp_C1593894019821074884nteger (@ (@ tptp.comp_C8797469213163452608nteger tptp.produc6499014454317279255nteger) tptp.times_3573771949741848930nteger)) tptp.sgn_sgn_Code_integer) L3) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= (@ tptp.sgn_sgn_Code_integer K5) (@ tptp.sgn_sgn_Code_integer L3))) _let_1) (@ (@ tptp.produc6916734918728496179nteger (lambda ((R5 tptp.code_integer) (S tptp.code_integer)) (let ((_let_1 (@ tptp.uminus1351360451143612070nteger R5))) (@ (@ (@ tptp.if_Pro6119634080678213985nteger (= S tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger _let_1) tptp.zero_z3403309356797280102nteger)) (@ (@ tptp.produc1086072967326762835nteger (@ (@ tptp.minus_8373710615458151222nteger _let_1) tptp.one_one_Code_integer)) (@ (@ tptp.minus_8373710615458151222nteger (@ tptp.abs_abs_Code_integer L3)) S)))))) _let_1))))))))) _let_9 _let_8 (= (@ (@ tptp.image_char_nat tptp.comm_s629917340098488124ar_nat) tptp.top_top_set_char) _let_7) (@ (@ (@ (@ tptp.bNF_re7626690874201225453um_num (lambda ((Y2 tptp.int) (Z tptp.int)) (= Y2 Z))) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))) _let_6) _let_6) (@ (@ (@ (@ tptp.bNF_re6718328864250387230um_num tptp.code_pcr_integer) (lambda ((Y2 tptp.num) (Z tptp.num)) (= Y2 Z))) _let_6) tptp.code_num_of_integer) _let_5 _let_4 _let_3 _let_2 (= tptp.bit_take_bit_num (lambda ((N4 tptp.nat) (M5 tptp.num)) (@ (@ tptp.produc478579273971653890on_num (lambda ((A5 tptp.nat) (X4 tptp.num)) (@ (@ (@ tptp.case_nat_option_num tptp.none_num) (lambda ((O tptp.nat)) (@ (@ (@ (@ tptp.case_num_option_num (@ tptp.some_num tptp.one)) (lambda ((P3 tptp.num)) (@ (@ (@ tptp.case_o6005452278849405969um_num tptp.none_num) (lambda ((Q3 tptp.num)) (@ tptp.some_num (@ tptp.bit0 Q3)))) (@ (@ tptp.bit_take_bit_num O) P3)))) (lambda ((P3 tptp.num)) (@ tptp.some_num (@ (@ (@ tptp.case_option_num_num tptp.one) tptp.bit1) (@ (@ tptp.bit_take_bit_num O) P3))))) X4))) A5))) (@ (@ tptp.product_Pair_nat_num N4) M5)))) (forall ((P2 (-> tptp.nat Bool)) (I tptp.nat) (J4 tptp.nat)) (= (@ (@ tptp.list_ex_nat P2) (@ (@ tptp.upt I) J4)) (not (@ (@ (@ tptp.all_interval_nat (@ (@ tptp.comp_o_o_nat (lambda ((_lvar_0 Bool)) (not _lvar_0))) P2)) I) J4)))) (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ (@ (@ tptp.if_int false) X2) Y3) Y3)) (forall ((X2 tptp.int) (Y3 tptp.int)) (= (@ (@ (@ tptp.if_int true) X2) Y3) X2)) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ (@ tptp.if_nat false) X2) Y3) Y3)) (forall ((X2 tptp.nat) (Y3 tptp.nat)) (= (@ (@ (@ tptp.if_nat true) X2) Y3) X2)) (forall ((X2 tptp.num) (Y3 tptp.num)) (= (@ (@ (@ tptp.if_num false) X2) Y3) Y3)) (forall ((X2 tptp.num) (Y3 tptp.num)) (= (@ (@ (@ tptp.if_num true) X2) Y3) X2)) (forall ((X2 tptp.rat) (Y3 tptp.rat)) (= (@ (@ (@ tptp.if_rat false) X2) Y3) Y3)) (forall ((X2 tptp.rat) (Y3 tptp.rat)) (= (@ (@ (@ tptp.if_rat true) X2) Y3) X2)) (forall ((X2 tptp.set_o) (Y3 tptp.set_o)) (= (@ (@ (@ tptp.if_set_o false) X2) Y3) Y3)) (forall ((X2 tptp.set_o) (Y3 tptp.set_o)) (= (@ (@ (@ tptp.if_set_o true) X2) Y3) X2)) (forall ((X2 tptp.product_unit) (Y3 tptp.product_unit)) (= (@ (@ (@ tptp.if_Product_unit false) X2) Y3) Y3)) (forall ((X2 tptp.product_unit) (Y3 tptp.product_unit)) (= (@ (@ (@ tptp.if_Product_unit true) X2) Y3) X2)) (forall ((X2 tptp.code_integer) (Y3 tptp.code_integer)) (= (@ (@ (@ tptp.if_Code_integer false) X2) Y3) Y3)) (forall ((X2 tptp.code_integer) (Y3 tptp.code_integer)) (= (@ (@ (@ tptp.if_Code_integer true) X2) Y3) X2)) (forall ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (= (@ (@ (@ tptp.if_set_nat false) X2) Y3) Y3)) (forall ((X2 tptp.set_nat) (Y3 tptp.set_nat)) (= (@ (@ (@ tptp.if_set_nat true) X2) Y3) X2)) (forall ((X2 tptp.set_Product_unit) (Y3 tptp.set_Product_unit)) (= (@ (@ (@ tptp.if_set_Product_unit false) X2) Y3) Y3)) (forall ((X2 tptp.set_Product_unit) (Y3 tptp.set_Product_unit)) (= (@ (@ (@ tptp.if_set_Product_unit true) X2) Y3) X2)) (forall ((X2 tptp.heap_Heap_ref_a) (Y3 tptp.heap_Heap_ref_a)) (= (@ (@ (@ tptp.if_Heap_Heap_ref_a false) X2) Y3) Y3)) (forall ((X2 tptp.heap_Heap_ref_a) (Y3 tptp.heap_Heap_ref_a)) (= (@ (@ (@ tptp.if_Heap_Heap_ref_a true) X2) Y3) X2)) (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3027730157355071871nt_int false) X2) Y3) Y3)) (forall ((X2 tptp.product_prod_int_int) (Y3 tptp.product_prod_int_int)) (= (@ (@ (@ tptp.if_Pro3027730157355071871nt_int true) X2) Y3) X2)) (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro6206227464963214023at_nat false) X2) Y3) Y3)) (forall ((X2 tptp.product_prod_nat_nat) (Y3 tptp.product_prod_nat_nat)) (= (@ (@ (@ tptp.if_Pro6206227464963214023at_nat true) X2) Y3) X2)) (forall ((X2 tptp.produc6271795597528267376eger_o) (Y3 tptp.produc6271795597528267376eger_o)) (= (@ (@ (@ tptp.if_Pro5737122678794959658eger_o false) X2) Y3) Y3)) (forall ((X2 tptp.produc6271795597528267376eger_o) (Y3 tptp.produc6271795597528267376eger_o)) (= (@ (@ (@ tptp.if_Pro5737122678794959658eger_o true) X2) Y3) X2)) (forall ((X2 tptp.produc8923325533196201883nteger) (Y3 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger false) X2) Y3) Y3)) (forall ((X2 tptp.produc8923325533196201883nteger) (Y3 tptp.produc8923325533196201883nteger)) (= (@ (@ (@ tptp.if_Pro6119634080678213985nteger true) X2) Y3) X2)) (forall ((X2 tptp.produc859450856879609959at_nat) (Y3 tptp.produc859450856879609959at_nat)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat false) X2) Y3) Y3)) (forall ((X2 tptp.produc859450856879609959at_nat) (Y3 tptp.produc859450856879609959at_nat)) (= (@ (@ (@ tptp.if_Pro4507677147265585453at_nat true) X2) Y3) X2)) (forall ((X2 tptp.set_Pr8693737435421807431at_nat) (Y3 tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat false) X2) Y3) Y3)) (forall ((X2 tptp.set_Pr8693737435421807431at_nat) (Y3 tptp.set_Pr8693737435421807431at_nat)) (= (@ (@ (@ tptp.if_set1508868558775481357at_nat true) X2) Y3) X2)) (forall ((X2 tptp.produc4675096598859438275atural) (Y3 tptp.produc4675096598859438275atural)) (= (@ (@ (@ tptp.if_Pro3444522238938527101atural false) X2) Y3) Y3)) (forall ((X2 tptp.produc4675096598859438275atural) (Y3 tptp.produc4675096598859438275atural)) (= (@ (@ (@ tptp.if_Pro3444522238938527101atural true) X2) Y3) X2)) (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (= (@ (@ (@ tptp.if_Pro3594990065127090477at_nat false) X2) Y3) Y3)) (forall ((X2 tptp.produc3843707927480180839at_nat) (Y3 tptp.produc3843707927480180839at_nat)) (= (@ (@ (@ tptp.if_Pro3594990065127090477at_nat true) X2) Y3) X2)) (forall ((P2 Bool)) (or (= P2 true) (= P2 false))) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat false) X2) Y3) Y3)) (forall ((X2 tptp.set_Pr4329608150637261639at_nat) (Y3 tptp.set_Pr4329608150637261639at_nat)) (= (@ (@ (@ tptp.if_set3208018901896979469at_nat true) X2) Y3) X2)) true _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.57/13.76  )
% 13.57/13.76  % SZS output end Proof for ITP206^3
% 13.57/13.76  % cvc5---1.0.5 exiting
% 13.57/13.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------